Finite Group Databasebeta

← #3494×D71 #32905785

Subgroups — #3494×D71 #32905785

Order 18176.

8006 conjugacy classes of subgroups.

The subgroup lattice has 2814 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602078C211yesmaximal, characteristic, complemented
2#22602077C211yesmaximal, characteristic, complemented
3#22602076C211yesmaximal, characteristic, complemented
4#22602075C211yesmaximal, characteristic, complemented
5#22602074C212yesmaximal, complemented
6#22602073C212yesmaximal, complemented
7#22602072C211yesmaximal, characteristic, complemented
8#22602071C212yesmaximal, complemented
9#22602070C212yesmaximal, complemented
10#22602069C211yesmaximal, characteristic, complemented
11#22602068C212yesmaximal, complemented
12#22602067C212yesmaximal, complemented
13#22602066C214yesmaximal, complemented
14#22602065C211yesmaximal, characteristic, complemented
15#22602064C212yesmaximal, complemented
16#22602063C212yesmaximal, complemented
17#22602062C214yesmaximal, complemented
18#555×D71C212yesmaximal, complemented
19#553×D71C212yesmaximal, complemented
20#553×D71C212yesmaximal, complemented
21#551×D71C214yesmaximal, complemented
22#547×D71C212yesmaximal, complemented
23#546×D71C214yesmaximal, complemented
24#544×D71C211yesmaximal, characteristic, complemented
25#542×D71C212yesmaximal, complemented
26#540×D71C212yesmaximal, complemented
27#535×D71C211yesmaximal, characteristic, complemented
28#532×D71C212yesmaximal, complemented
29#529×D71C212yesmaximal, complemented
30#525×D71C211yesmaximal, characteristic, complemented
31C2×#121×D71C211yesmaximal, characteristic, complemented
32#520×D71C211yesmaximal, characteristic, complemented
33#518×D71C211yesmaximal, characteristic, complemented
34C2×#117×D71C211yesmaximal, characteristic, complemented
35C71×#3494C211yesmaximal, characteristic, complemented
36C2×#41×D71C2211yescharacteristic
37C2×#41×D71C2214yescomplemented
38C22×D4×D71C2211yescharacteristic
39C22×D4×D71C2212yes—
40C23×C4×D71C2211yescharacteristic
41#17986715C2212yescomplemented
42#17986714C2212yescomplemented
43#17986714C2212yescomplemented
44#17986713C2212yescomplemented
45#17986713C2212yescomplemented
46#17986713C2214yescomplemented
47#17986712C2214yescomplemented
48#17986712C2212yescomplemented
49#17986712C2212yescomplemented
50#17986711C2214yescomplemented
51#17986711C2214yescomplemented
52#17986702C2212yescomplemented
53#17986702C2212yescomplemented
54#17986701C2212yescomplemented
55#17986701C2212yescomplemented
56#17986700C2214yescomplemented
57#17986700C2214yescomplemented
58#17986699C2212yescomplemented
59#17986699C2212yescomplemented
60#17986698C2214yescomplemented
61#17986698C2214yescomplemented
62#17986697C2212yescomplemented
63#17986697C2212yescomplemented
64#17986696C2212yescomplemented
65#17986696C2212yescomplemented
66#17986695C2212yescomplemented
67#17986695C2212yescomplemented
68#17986694C2214yescomplemented
69#17986694C2214yescomplemented
70#17986693C2212yescomplemented
71#17986693C2212yescomplemented
72#17986692C2214yescomplemented
73#17986692C2214yescomplemented
74#17986680C2214yescomplemented
75#17986679C2214yescomplemented
76#17986678C2214yescomplemented
77#17986678C2214yescomplemented
78#17986677C2214yescomplemented
79#17986676C2214yescomplemented
80#17986676C2214yescomplemented
81#17986675C2214yescomplemented
82#17986675C2214yescomplemented
83#17986674C2214yescomplemented
84#17986674C2214yescomplemented
85#17986673C2214yescomplemented
86#17986673C2214yescomplemented
87#17986672C2214yescomplemented
88#17986672C2214yescomplemented
89#17986654C2212yescomplemented
90#17986653C2212yescomplemented
91#17986652C2212yescomplemented
92#17986651C2214yescomplemented
93#17986650C2212yescomplemented
94#17986650C2212yescomplemented
95#17986649C2212yescomplemented
96#17986649C2212yescomplemented
97#17986648C2214yescomplemented
98#17986647C2214yescomplemented
99#17986647C2214yescomplemented
100#17986646C2214yescomplemented
101#17986645C2214yescomplemented
102#17986644C2214yescomplemented
103#17986643C2214yescomplemented
104#17986642C2214yescomplemented
105#17986641C2214yescomplemented
106#17986641C2214yescomplemented
107#17986640C2214yescomplemented
108#17986639C2214yescomplemented
109#17986639C2214yescomplemented
110#17986638C2214yescomplemented
111#17986638C2214yescomplemented
112#17986637C2214yescomplemented
113#17986636C2214yescomplemented
114#17986636C2214yescomplemented
115#17986630C2211yescharacteristic, complemented
116#17986629C2212yescomplemented
117#17986629C2212yescomplemented
118#17986628C2214yescomplemented
119#17986627C2211yescharacteristic, complemented
120#17986627C2211yescharacteristic, complemented
121#17986626C2212yescomplemented
122#17986626C2212yescomplemented
123#17986623C2212yescomplemented
124#17986622C2212yescomplemented
125#17986621C2212yescomplemented
126#17986620C2212yescomplemented
127#17986619C2214yescomplemented
128#17986618C2212yescomplemented
129#17986617C2214yescomplemented
130#17986616C2212yescomplemented
131#17986615C2214yescomplemented
132#17986614C2212yescomplemented
133#17986613C2214yescomplemented
134#17986605C2212yescomplemented
135#17986604C2212yescomplemented
136#17986603C2212yescomplemented
137#17986602C2212yescomplemented
138#17986602C2212yescomplemented
139#17986601C2214yescomplemented
140#17986601C2214yescomplemented
141#17986600C2212yescomplemented
142#17986600C2212yescomplemented
143#17986599C2214yescomplemented
144#17986599C2214yescomplemented
145#17986568C2211yescharacteristic, complemented
146#17986567C2212yescomplemented
147#17986566C2211yescharacteristic, complemented
148#17986565C2212yescomplemented
149#17986565C2212yescomplemented
150#17986564C2214yescomplemented
151#17986563C2211yescharacteristic, complemented
152#17986562C2212yescomplemented
153#17986550C2212yescomplemented
154#17986549C2212yescomplemented
155#17986548C2214yescomplemented
156#17986547C2212yescomplemented
157#17986546C2212yescomplemented
158#17986546C2214yescomplemented
159#17986546C2212yescomplemented
160#17986545C2214yescomplemented
161#17986544C2212yescomplemented
162#17986544C2214yescomplemented
163#17986544C2212yescomplemented
164C4⋊Q8×D71C2212yescomplemented
165C4⋊Q8×D71C2212yescomplemented
166#127×D71C2212yescomplemented
167#17986536C2212yescomplemented
168#17986535C2212yescomplemented
169#17986534C2212yescomplemented
170#17986533C2212yescomplemented
171#17986532C2214yescomplemented
172#17986531C2212yescomplemented
173#17986530C2212yescomplemented
174#17986529C2214yescomplemented
175#17986528C2212yescomplemented
176#17986527C2214yescomplemented
177#17986526C2214yescomplemented
178#126×D71C2214yescomplemented
179#126×D71C2214yescomplemented
180#125×D71C2212yescomplemented
181#125×D71C2212yescomplemented
182#124×D71C2214yescomplemented
183#124×D71C2214yescomplemented
184#124×D71C2212yescomplemented
185#17986512C2211yescharacteristic, complemented
186#17986512C2211yescharacteristic, complemented
187#17986511C2211yescharacteristic, complemented
188#17986510C2211yescharacteristic, complemented
189#17986509C2211yescharacteristic, complemented
190#17986509C2211yescharacteristic, complemented
191#17986508C2212yescomplemented
192#17986508C2212yescomplemented
193#17986507C2212yescomplemented
194#17986506C2211yescharacteristic, complemented
195#17986505C2212yescomplemented
196#123×D71C2212yes—
197#123×D71C2214yescomplemented
198#123×D71C2214yescomplemented
199#123×D71C2214yescomplemented
200#123×D71C2214yescomplemented
201C22⋊Q8×D71C2214yes—
202C22⋊Q8×D71C2214yescomplemented
203C22⋊Q8×D71C2211yescharacteristic, complemented
204C22⋊Q8×D71C2211yescharacteristic, complemented
205C2×#14556103C2211yescharacteristic, complemented
206C2×#14556102C2211yescharacteristic, complemented
207C2×#14556101C2212yescomplemented
208C2×#14556100C2212yescomplemented
209C2×#14556099C2211yescharacteristic, complemented
210#121×D71C2212yes—
211#121×D71C2212yes—
212#121×D71C2212yes—
213#121×D71C2212yes—
214#121×D71C2212yescomplemented
215#121×D71C2212yescomplemented
216#121×D71C2212yescomplemented
217#121×D71C2212yescomplemented
218#121×D71C2214yescomplemented
219#121×D71C2214yescomplemented
220#121×D71C2214yescomplemented
221#121×D71C2212yescomplemented
222#121×D71C2211yescharacteristic, complemented
223#121×D71C2211yescharacteristic, complemented
224#121×D71C2212yescomplemented
225#120×D71C2212yes—
226#120×D71C2214yes—
227#17986482C2211yescharacteristic, complemented
228#17986481C2212yescomplemented
229#17986480C2211yescharacteristic, complemented
230#17986480C2212yescomplemented
231#17986479C2211yescharacteristic, complemented
232#17986479C2212yescomplemented
233#17986478C2214yescomplemented
234#17986478C2212yescomplemented
235#17986474C2211yescharacteristic, complemented
236#17986473C2211yescharacteristic, complemented
237#17986473C2211yescharacteristic, complemented
238#17986472C2214yescomplemented
239#17986471C2212yescomplemented
240#17986471C2212yescomplemented
241#17986471C2212yescomplemented
242#17986471C2212yescomplemented
243C4×Q8×D71C2212yescomplemented
244C4×D4×D71C2214yes—
245C4×D4×D71C2212yescomplemented
246C4×D4×D71C2212yescomplemented
247C4×D4×D71C2212yescomplemented
248C4×D4×D71C2212yescomplemented
249C4×D4×D71C2214yescomplemented
250C4×D4×D71C2212yescomplemented
251C4×D4×D71C2212yescomplemented
252C4×D4×D71C2212yescomplemented
253C4×D4×D71C2214yescomplemented
254C2×#14556087C2211yescharacteristic, complemented
255C2×#14556086C2211yescharacteristic, complemented
256C2×#14556086C2211yescharacteristic, complemented
257C2×#14556085C2212yescomplemented
258C2×#14556084C2212yescomplemented
259#117×D71C2211yescharacteristic
260#117×D71C2211yescharacteristic
261#117×D71C2211yescharacteristic
262#117×D71C2212yes—
263#117×D71C2211yescharacteristic, complemented
264#117×D71C2212yescomplemented
265#117×D71C2211yescharacteristic, complemented
266#117×D71C2211yescharacteristic, complemented
267#117×D71C2211yescharacteristic, complemented
268#117×D71C2212yescomplemented
269#117×D71C2212yescomplemented
270#117×D71C2214yescomplemented
271#117×D71C2212yescomplemented
272#117×D71C2211yescharacteristic, complemented
273#117×D71C2211yescharacteristic, complemented
274C2×C4⋊C4×D71C2211yescharacteristic
275C2×C4⋊C4×D71C2211yescharacteristic, complemented
276C2×C4⋊C4×D71C2211yescharacteristic, complemented
277C2×C4⋊C4×D71C2212yescomplemented
278C2×C22⋊C4×D71C2212yes—
279C2×C22⋊C4×D71C2214yes—
280C2×C22⋊C4×D71C2212yes—
281C2×C42×D71C2212yescomplemented
282#555×C71C2212yescomplemented
283#553×C71C2212yescomplemented
284#553×C71C2212yescomplemented
285#551×C71C2214yescomplemented
286#547×C71C2212yescomplemented
287#546×C71C2214yescomplemented
288#544×C71C2211yescharacteristic, complemented
289#542×C71C2212yescomplemented
290#540×C71C2212yescomplemented
291#535×C71C2211yescharacteristic, complemented
292#532×C71C2212yescomplemented
293#529×C71C2212yescomplemented
294#525×C71C2211yescharacteristic, complemented
295C2×#121×C71C2211yescharacteristic, complemented
296#520×C71C2211yescharacteristic, complemented
297#518×C71C2211yescharacteristic, complemented
298C2×#117×C71C2211yescharacteristic, complemented
299C24×D71C2311yescharacteristic
300C24×D71C2312yes—
301C2×#11765866C2311yescharacteristic
302C2×#11765866C2314yescomplemented
303C2×#11765865C2312yes—
304C2×#11765865C2311yescharacteristic
305C2×#11765865C2314yescomplemented
306C2×#11765865C2314yescomplemented
307C2×#11765865C2314yescomplemented
308C2×#11765864C2311yescharacteristic
309C2×#11765864C2312yes—
310C2×#11765864C2314yescomplemented
311C2×#11765864C2314yescomplemented
312C2×#11765864C2314yescomplemented
313#41×D71—28no—
314#41×D71—416no—
315C2×Q8×D71C2311yescharacteristic
316C2×Q8×D71C2314yes—
317C22×D284C2311yescharacteristic
318C22×D284C2312yes—
319C22×C22⋊D71C2312yes—
320C22×C22⋊D71C2312yes—
321C22×C22⋊D71C2312yes—
322C2×D4×D71—28no—
323C2×D4×D71—48no—
324C2×D4×D71C2312yes—
325C2×D4×D71C2312yes—
326C2×D4×D71C2314yes—
327C2×D4×D71C2312yes—
328C2×D4×D71C2312yes—
329C2×D4×D71C2312yes—
330C2×D4×D71C2311yescharacteristic
331C2×D4×D71C2312yes—
332C2×D4×D71C2314yes—
333C2×D4×D71C2314yes—
334C2×D4×D71C2314yes—
335C2×D4×D71C2314yes—
336C2×D4×D71C2312yes—
337C2×D4×D71C2314yes—
338C23×Dic71C2311yescharacteristic
339C22×C4×D71—28no—
340C22×C4×D71C2311yescharacteristic
341C22×C4×D71C2311yescharacteristic
342C22×C4×D71C2311yescharacteristic
343C22×C4×D71C2311yescharacteristic
344C22×C4×D71C2311yescharacteristic
345C22×C4×D71C2311yescharacteristic
346C22×C4×D71C2311yescharacteristic
347C22×C4×D71C2311yescharacteristic
348C22×C4×D71C2311yescharacteristic
349C22×C4×D71C2311yescharacteristic
350C22×C4×D71C2311yescharacteristic
351C22×C4×D71C2312yes—
352C22×C4×D71C2312yes—
353C22×C4×D71C2312yes—
354C22×C4×D71C2314yes—
355C22×C4×D71C2314yes—
356C22×C4×D71C2312yes—
357C22×C4×D71C2314yes—
358C22×C4×D71C2311yescharacteristic
359#14556128C2312yescomplemented
360#14556128C2312yescomplemented
361#14556127C2312yescomplemented
362#14556127C2314yescomplemented
363#14556127C2312yescomplemented
364#14556127C2312yescomplemented
365#14556127C2314yescomplemented
366#14556127C2312yescomplemented
367#14556126C2314yescomplemented
368#14556126C2314yescomplemented
369#14556125C2312yescomplemented
370#14556124C2312yescomplemented
371#14556124C2314yescomplemented
372#14556124C2314yescomplemented
373#14556124C2312yescomplemented
374#14556123C2314yescomplemented
375#14556123C2314yescomplemented
376#14556123C2314yescomplemented
377#14556123C2314yescomplemented
378#14556123C2314yescomplemented
379#14556123C2314yescomplemented
380#14556122C2314yescomplemented
381#14556122C2314yescomplemented
382#14556121C2314yescomplemented
383#14556121C2314yescomplemented
384#14556121C2314yescomplemented
385#14556121C2314yescomplemented
386#14556121C2314yescomplemented
387#14556121C2314yescomplemented
388#14556120C2312yescomplemented
389#14556120C2312yescomplemented
390#14556119C2312yescomplemented
391#14556119C2312yescomplemented
392#14556119C2312yescomplemented
393#14556119C2312yescomplemented
394#14556118C2314yescomplemented
395#14556118C2314yescomplemented
396#14556118C2314yescomplemented
397#14556118C2314yescomplemented
398#14556117C2312yescomplemented
399#14556117C2314yescomplemented
400#14556117C2314yescomplemented
401#14556116C2312yescomplemented
402#14556116C2314yescomplemented
403#14556116C2314yescomplemented
404#14556115C2312yescomplemented
405#14556115C2314yescomplemented
406#14556115C2314yescomplemented
407#14556114C2314yescomplemented
408#14556114C2314yescomplemented
409#14556114C2314yescomplemented
410#14556114C2314yescomplemented
411#14556114C2314yescomplemented
412#14556114C2314yescomplemented
413#14556114C2314yescomplemented
414#14556114C2314yescomplemented
415#14556114C2314yescomplemented
416#14556114C2314yescomplemented
417#14556113C2312yes—
418#14556113C2312yes—
419#14556113C2314yescomplemented
420#14556113C2314yescomplemented
421#14556113C2314yescomplemented
422#14556113C2314yescomplemented
423#14556113C2314yescomplemented
424#14556113C2314yescomplemented
425#14556113C2314yescomplemented
426#14556113C2314yescomplemented
427#14556112C2312yes—
428#14556112C2314yescomplemented
429#14556112C2314yescomplemented
430#14556112C2314yescomplemented
431#14556112C2314yescomplemented
432#14556111C2312yes—
433#14556111C2314yescomplemented
434#14556111C2314yescomplemented
435#14556111C2314yescomplemented
436#14556111C2314yescomplemented
437#14556110C2312yes—
438#14556110C2312yes—
439#14556110C2314yescomplemented
440#14556110C2314yescomplemented
441#14556110C2314yescomplemented
442#14556110C2314yescomplemented
443#14556110C2314yescomplemented
444#14556110C2314yescomplemented
445#14556110C2314yescomplemented
446#14556110C2314yescomplemented
447#14556109C2312yes—
448#14556109C2314yescomplemented
449#14556109C2314yescomplemented
450#14556109C2314yescomplemented
451#14556109C2314yescomplemented
452#14556108C2314yes—
453#14556108C2311yescharacteristic, complemented
454#14556108C2314yescomplemented
455#14556108C2311yescharacteristic, complemented
456#14556107C2314yes—
457#14556107C2314yescomplemented
458#14556107C2311yescharacteristic, complemented
459#14556107C2311yescharacteristic, complemented
460#14556106C2314yes—
461#14556106C2314yes—
462#14556106C2312yescomplemented
463#14556106C2314yescomplemented
464#14556106C2314yescomplemented
465#14556106C2312yescomplemented
466#14556105C2314yes—
467#14556105C2314yes—
468#14556105C2312yescomplemented
469#14556105C2314yescomplemented
470#14556105C2314yescomplemented
471#14556105C2312yescomplemented
472#14556104C2314yes—
473#14556104C2314yescomplemented
474#14556104C2311yescharacteristic, complemented
475#14556104C2311yescharacteristic, complemented
476#14556103C2312yes—
477#14556103C2312yes—
478#14556103C2312yes—
479#14556103C2312yes—
480#14556103C2312yescomplemented
481#14556103C2312yescomplemented
482#14556103C2311yescharacteristic, complemented
483#14556103C2314yescomplemented
484#14556103C2314yescomplemented
485#14556103C2314yescomplemented
486#14556103C2311yescharacteristic, complemented
487#14556102C2312yes—
488#14556102C2312yes—
489#14556102C2312yes—
490#14556102C2312yes—
491#14556102C2312yescomplemented
492#14556102C2312yescomplemented
493#14556102C2314yescomplemented
494#14556102C2314yescomplemented
495#14556102C2311yescharacteristic, complemented
496#14556102C2314yescomplemented
497#14556102C2311yescharacteristic, complemented
498#14556101C2314yes—
499#14556101C2314yes—
500#14556101C2314yes—
501#14556101C2314yes—
502#14556101C2314yescomplemented
503#14556101C2314yescomplemented
504#14556101C2314yescomplemented
505#14556101C2314yescomplemented
506#14556101C2314yescomplemented
507#14556101C2314yescomplemented
508#14556101C2312yescomplemented
509#14556101C2314yescomplemented
510#14556101C2314yescomplemented
511#14556101C2312yescomplemented
512#14556100C2314yes—
513#14556100C2314yes—
514#14556100C2314yes—
515#14556100C2314yes—
516#14556100C2314yescomplemented
517#14556100C2314yescomplemented
518#14556100C2312yescomplemented
519#14556100C2314yescomplemented
520#14556100C2314yescomplemented
521#14556100C2314yescomplemented
522#14556100C2314yescomplemented
523#14556100C2314yescomplemented
524#14556100C2314yescomplemented
525#14556100C2312yescomplemented
526#14556099C2312yes—
527#14556099C2312yes—
528#14556099C2312yes—
529#14556099C2312yes—
530#14556099C2312yescomplemented
531#14556099C2312yescomplemented
532#14556099C2314yescomplemented
533#14556099C2314yescomplemented
534#14556099C2311yescharacteristic, complemented
535#14556099C2314yescomplemented
536#14556099C2311yescharacteristic, complemented
537#14556098C2314yes—
538#14556098C2314yes—
539#14556098C2314yes—
540#14556098C2312yes—
541#14556098C2312yes—
542#14556098C2312yes—
543#14556097C2314yes—
544#14556097C2312yes—
545#14556096C2314yes—
546#14556096C2314yes—
547#14556096C2314yes—
548#14556096C2312yes—
549#14556096C2312yes—
550#14556096C2312yes—
551Q8×Dic71C2312yescomplemented
552C4×Dic142C2314yescomplemented
553C4×Dic142C2312yescomplemented
554#14556093C2312yescomplemented
555#14556093C2314yescomplemented
556C4×D284C2314yes—
557C4×D284C2312yescomplemented
558C4×D284C2312yescomplemented
559C4×D284C2312yescomplemented
560C4×D284C2314yescomplemented
561C4×D284C2312yescomplemented
562C4×D284C2312yescomplemented
563C4×D284C2314yescomplemented
564C4×D284C2312yescomplemented
565C4×D284C2312yescomplemented
566D4×Dic71C2314yes—
567D4×Dic71C2312yescomplemented
568D4×Dic71C2312yescomplemented
569D4×Dic71C2312yescomplemented
570D4×Dic71C2314yescomplemented
571D4×Dic71C2312yescomplemented
572D4×Dic71C2312yescomplemented
573D4×Dic71C2314yescomplemented
574D4×Dic71C2312yescomplemented
575D4×Dic71C2312yescomplemented
576#14556090C2314yes—
577#14556090C2312yescomplemented
578#14556090C2312yescomplemented
579#14556090C2312yescomplemented
580#14556090C2314yescomplemented
581#14556090C2312yescomplemented
582#14556090C2312yescomplemented
583#14556090C2314yescomplemented
584#14556090C2312yescomplemented
585#14556090C2312yescomplemented
586C4×C22⋊D71C2314yes—
587C4×C22⋊D71C2314yes—
588C4×C22⋊D71C2314yescomplemented
589C4×C22⋊D71C2314yescomplemented
590C4×C22⋊D71C2314yescomplemented
591C4×C22⋊D71C2314yescomplemented
592C4×C22⋊D71C2314yescomplemented
593C4×C22⋊D71C2314yescomplemented
594C4×C22⋊D71C2312yescomplemented
595C4×C22⋊D71C2312yescomplemented
596C4×C22⋊D71C2314yescomplemented
597C4×C22⋊D71C2314yescomplemented
598C4×C22⋊D71C2312yescomplemented
599C4×C22⋊D71C2314yescomplemented
600C4×C22⋊D71C2312yescomplemented
601(C22⋊D71)⋊C4C2314yes—
602(C22⋊D71)⋊C4C2314yes—
603(C22⋊D71)⋊C4C2314yescomplemented
604(C22⋊D71)⋊C4C2314yescomplemented
605(C22⋊D71)⋊C4C2314yescomplemented
606(C22⋊D71)⋊C4C2314yescomplemented
607(C22⋊D71)⋊C4C2314yescomplemented
608(C22⋊D71)⋊C4C2314yescomplemented
609(C22⋊D71)⋊C4C2312yescomplemented
610(C22⋊D71)⋊C4C2312yescomplemented
611(C22⋊D71)⋊C4C2314yescomplemented
612(C22⋊D71)⋊C4C2314yescomplemented
613(C22⋊D71)⋊C4C2314yescomplemented
614(C22⋊D71)⋊C4C2312yescomplemented
615(C22⋊D71)⋊C4C2312yescomplemented
616#14556087C2311yescharacteristic
617#14556087C2311yescharacteristic
618#14556087C2312yes—
619#14556087C2311yescharacteristic
620#14556087C2312yescomplemented
621#14556087C2314yescomplemented
622#14556087C2311yescharacteristic, complemented
623#14556087C2312yescomplemented
624#14556087C2311yescharacteristic, complemented
625#14556086C2311yescharacteristic
626#14556086C2311yescharacteristic
627#14556086C2311yescharacteristic
628#14556086C2311yescharacteristic
629#14556086C2312yes—
630#14556086C2312yes—
631#14556086C2311yescharacteristic
632#14556086C2311yescharacteristic
633#14556086C2312yescomplemented
634#14556086C2312yescomplemented
635#14556086C2314yescomplemented
636#14556086C2314yescomplemented
637#14556086C2311yescharacteristic, complemented
638#14556086C2312yescomplemented
639#14556086C2311yescharacteristic, complemented
640#14556086C2312yescomplemented
641#14556086C2311yescharacteristic, complemented
642#14556086C2311yescharacteristic, complemented
643#14556085C2312yes—
644#14556085C2312yes—
645#14556085C2312yes—
646#14556085C2312yes—
647#14556085C2312yes—
648#14556085C2312yescomplemented
649#14556085C2312yescomplemented
650#14556085C2314yescomplemented
651#14556085C2314yescomplemented
652#14556085C2312yescomplemented
653#14556085C2314yescomplemented
654#14556085C2312yescomplemented
655#14556084C2312yes—
656#14556084C2312yes—
657#14556084C2312yes—
658#14556084C2312yes—
659#14556084C2312yes—
660#14556084C2312yescomplemented
661#14556084C2312yescomplemented
662#14556084C2314yescomplemented
663#14556084C2314yescomplemented
664#14556084C2312yescomplemented
665#14556084C2314yescomplemented
666#14556084C2312yescomplemented
667C2×C4⋊Dic71C2311yescharacteristic
668C2×C4⋊Dic71C2311yescharacteristic, complemented
669C2×C4⋊Dic71C2312yescomplemented
670C2×C4⋊Dic71C2311yescharacteristic, complemented
671C2×Dic71⋊C4C2312yes—
672C2×Dic71⋊C4C2312yescomplemented
673C2×Dic71⋊C4C2314yescomplemented
674C2×Dic71⋊C4C2312yescomplemented
675C4⋊C4×D71C2312yes—
676C4⋊C4×D71C2312yes—
677C4⋊C4×D71C2312yes—
678C4⋊C4×D71C2312yes—
679C4⋊C4×D71C2311yescharacteristic
680C4⋊C4×D71C2311yescharacteristic
681C4⋊C4×D71C2311yescharacteristic
682C4⋊C4×D71C2311yescharacteristic
683C4⋊C4×D71C2312yes—
684C4⋊C4×D71C2312yes—
685C4⋊C4×D71C2314yes—
686C4⋊C4×D71C2311yescharacteristic
687C4⋊C4×D71C2311yescharacteristic
688C4⋊C4×D71C2312yes—
689C4⋊C4×D71C2314yes—
690C4⋊C4×D71C2314yes—
691C4⋊C4×D71C2314yes—
692C4⋊C4×D71C2312yes—
693C4⋊C4×D71C2312yescomplemented
694C4⋊C4×D71C2314yescomplemented
695C4⋊C4×D71C2311yescharacteristic, complemented
696C4⋊C4×D71C2312yescomplemented
697C4⋊C4×D71C2311yescharacteristic, complemented
698C4⋊C4×D71C2312yescomplemented
699C4⋊C4×D71C2311yescharacteristic, complemented
700C4⋊C4×D71C2312yescomplemented
701C4⋊C4×D71C2311yescharacteristic, complemented
702C2×C22⋊Dic71C2312yes—
703C2×C22⋊Dic71C2314yes—
704C2×C22⋊Dic71C2312yes—
705C2×(C2×D71)⋊C4C2312yes—
706C2×(C2×D71)⋊C4C2314yes—
707C2×(C2×D71)⋊C4C2312yes—
708C2×(C2×D71)⋊C4C2314yes—
709C2×(C2×D71)⋊C4C2312yes—
710C2×(C2×D71)⋊C4C2312yes—
711C22⋊C4×D71C2312yes—
712C22⋊C4×D71C2314yes—
713C22⋊C4×D71C2312yes—
714C22⋊C4×D71C2314yes—
715C22⋊C4×D71C2312yes—
716C22⋊C4×D71C2314yes—
717C22⋊C4×D71C2312yes—
718C22⋊C4×D71C2314yes—
719C22⋊C4×D71C2314yes—
720C22⋊C4×D71C2314yes—
721C22⋊C4×D71C2312yes—
722C22⋊C4×D71C2312yes—
723C22⋊C4×D71C2312yes—
724C22⋊C4×D71C2312yes—
725C22⋊C4×D71C2312yes—
726C22⋊C4×D71C2314yes—
727C22⋊C4×D71C2314yes—
728C22⋊C4×D71C2314yes—
729C22⋊C4×D71C2314yes—
730C22⋊C4×D71C2314yes—
731C22⋊C4×D71C2314yes—
732C22⋊C4×D71C2312yes—
733C22⋊C4×D71C2312yes—
734C22⋊C4×D71C2314yes—
735C22⋊C4×D71C2312yes—
736C22⋊C4×D71C2312yes—
737C2×C4×Dic71C2312yescomplemented
738C2×C4×Dic71C2312yescomplemented
739C2×C4×Dic71C2312yescomplemented
740C42×D71C2312yes—
741C42×D71C2312yes—
742C42×D71C2312yes—
743C42×D71C2312yes—
744C42×D71C2312yes—
745C42×D71C2314yes—
746C42×D71C2312yescomplemented
747C42×D71C2312yescomplemented
748C42×D71C2312yescomplemented
749C42×D71C2312yescomplemented
750C2×#41×C71C2311yescharacteristic
751C2×#41×C71C2314yescomplemented
752C22×D4×C71C2311yescharacteristic
753C22×D4×C71C2312yes—
754C23×C4×C71C2311yescharacteristic
755C4⋊Q8×C71C2312yescomplemented
756C4⋊Q8×C71C2312yescomplemented
757#127×C71C2312yescomplemented
758#126×C71C2314yescomplemented
759#126×C71C2314yescomplemented
760#125×C71C2312yescomplemented
761#125×C71C2312yescomplemented
762#124×C71C2312yescomplemented
763#124×C71C2314yescomplemented
764#124×C71C2314yescomplemented
765#123×C71C2312yes—
766#123×C71C2314yescomplemented
767#123×C71C2314yescomplemented
768#123×C71C2314yescomplemented
769#123×C71C2314yescomplemented
770C22⋊Q8×C71C2314yes—
771C22⋊Q8×C71C2314yescomplemented
772C22⋊Q8×C71C2311yescharacteristic, complemented
773C22⋊Q8×C71C2311yescharacteristic, complemented
774#121×C71C2312yes—
775#121×C71C2312yes—
776#121×C71C2312yes—
777#121×C71C2312yes—
778#121×C71C2312yescomplemented
779#121×C71C2312yescomplemented
780#121×C71C2314yescomplemented
781#121×C71C2314yescomplemented
782#121×C71C2311yescharacteristic, complemented
783#121×C71C2314yescomplemented
784#121×C71C2311yescharacteristic, complemented
785#120×C71C2314yes—
786#120×C71C2312yes—
787C4×Q8×C71C2312yescomplemented
788C4×D4×C71C2314yes—
789C4×D4×C71C2312yescomplemented
790C4×D4×C71C2312yescomplemented
791C4×D4×C71C2312yescomplemented
792C4×D4×C71C2314yescomplemented
793C4×D4×C71C2312yescomplemented
794C4×D4×C71C2312yescomplemented
795C4×D4×C71C2312yescomplemented
796C4×D4×C71C2314yescomplemented
797C4×D4×C71C2312yescomplemented
798#117×C71C2311yescharacteristic
799#117×C71C2311yescharacteristic
800#117×C71C2311yescharacteristic
801#117×C71C2312yes—
802#117×C71C2312yescomplemented
803#117×C71C2311yescharacteristic, complemented
804#117×C71C2311yescharacteristic, complemented
805#117×C71C2314yescomplemented
806#117×C71C2312yescomplemented
807C2×C4⋊C4×C71C2311yescharacteristic
808C2×C4⋊C4×C71C2311yescharacteristic, complemented
809C2×C4⋊C4×C71C2312yescomplemented
810C2×C4⋊C4×C71C2311yescharacteristic, complemented
811C2×C22⋊C4×C71C2312yes—
812C2×C22⋊C4×C71C2314yes—
813C2×C22⋊C4×C71C2312yes—
814C2×C42×C71C2312yescomplemented
815C23×D71—24no—
816C23×D71—24no—
817C23×D71—28no—
818C23×D71—42no—
819C23×D71—44no—
820C23×D71—44no—
821C23×D71C2412yes—
822C23×D71C2411yescharacteristic
823C23×D71C2414yes—
824C23×D71C2411yescharacteristic
825C23×D71C2411yescharacteristic
826C23×D71C2411yescharacteristic
827C23×D71C2411yescharacteristic
828C23×D71C2411yescharacteristic
829C23×D71C2414yes—
830C23×D71C2412yes—
831#11765866—24no—
832#11765866—48no—
833#11765865—24no—
834#11765865—28no—
835#11765865—48no—
836#11765865—48no—
837#11765865—48no—
838#11765864—28no—
839#11765864—24no—
840#11765864—48no—
841#11765864—48no—
842#11765864—48no—
843C2×Dic142C2412yes—
844C2×Dic142C2411yescharacteristic
845C2×Dic142C2414yes—
846C2×Dic142C2414yes—
847C2×Dic142C2414yes—
848Q8×D71—24no—
849Q8×D71—48no—
850C2×D284—24no—
851C2×D284—44no—
852C2×D284C2414yes—
853C2×D284C2412yes—
854C2×D284C2412yes—
855C2×D284C2412yes—
856C2×D284C2411yescharacteristic
857C2×D284C2412yes—
858C2×D284C2414yes—
859C2×D284C2414yes—
860C2×D284C2412yes—
861C2×D284C2414yes—
862C2×C22⋊D71—28no—
863C2×C22⋊D71—44no—
864C2×C22⋊D71—44no—
865C2×C22⋊D71C2414yes—
866C2×C22⋊D71C2414yes—
867C2×C22⋊D71C2414yes—
868C2×C22⋊D71C2414yes—
869C2×C22⋊D71C2412yes—
870C2×C22⋊D71C2412yes—
871C2×C22⋊D71C2412yes—
872C2×C22⋊D71C2412yes—
873C2×C22⋊D71C2412yes—
874C2×C22⋊D71C2414yes—
875C2×C22⋊D71C2414yes—
876C2×C22⋊D71C2414yes—
877C2×C22⋊D71C2414yes—
878C2×C22⋊D71C2412yes—
879C2×C22⋊D71C2414yes—
880C2×C22⋊D71C2412yes—
881C2×C22⋊D71C2414yes—
882D4×D71—28no—
883D4×D71—216no—
884D4×D71—28no—
885D4×D71—28no—
886D4×D71—28no—
887D4×D71—24no—
888D4×D71—28no—
889D4×D71—28no—
890D4×D71—48no—
891D4×D71—44no—
892D4×D71—48no—
893D4×D71—48no—
894D4×D71—48no—
895D4×D71—48no—
896C22×Dic71—24no—
897C22×Dic71C2411yescharacteristic
898C22×Dic71C2411yescharacteristic
899C22×Dic71C2411yescharacteristic
900C22×Dic71C2411yescharacteristic
901C22×Dic71C2411yescharacteristic
902C22×Dic71C2412yes—
903C22×Dic71C2412yes—
904C22×Dic71C2412yes—
905C22×Dic71C2414yes—
906C22×Dic71C2414yes—
907C22×Dic71C2412yes—
908C22×Dic71C2414yes—
909C22×Dic71C2411yescharacteristic
910C2×C4×D71—24no—
911C2×C4×D71—28no—
912C2×C4×D71—24no—
913C2×C4×D71—24no—
914C2×C4×D71—24no—
915C2×C4×D71—24no—
916C2×C4×D71—24no—
917C2×C4×D71—24no—
918C2×C4×D71—28no—
919C2×C4×D71—24no—
920C2×C4×D71—24no—
921C2×C4×D71—24no—
922C2×C4×D71—24no—
923C2×C4×D71—48no—
924C2×C4×D71—44no—
925C2×C4×D71—44no—
926C2×C4×D71—48no—
927C2×C4×D71—48no—
928C2×C4×D71#4118yescomplemented
929C2×C4×D71C2412yes—
930C2×C4×D71C2411yescharacteristic
931C2×C4×D71C2412yes—
932C2×C4×D71C2411yescharacteristic
933C2×C4×D71C2411yescharacteristic
934C2×C4×D71C2411yescharacteristic
935C2×C4×D71C2411yescharacteristic
936C2×C4×D71C2411yescharacteristic
937C2×C4×D71C2411yescharacteristic
938C2×C4×D71C2411yescharacteristic
939C2×C4×D71C2411yescharacteristic
940C2×C4×D71C2411yescharacteristic
941C2×C4×D71C2411yescharacteristic
942C2×C4×D71C2411yescharacteristic
943C2×C4×D71C2414yes—
944C2×C4×D71C2412yes—
945C2×C4×D71C2412yes—
946C2×C4×D71C2412yes—
947C2×C4×D71C2412yes—
948C2×C4×D71C2412yes—
949C2×C4×D71C2412yes—
950C2×C4×D71C2412yes—
951C2×C4×D71C2412yes—
952C2×C4×D71C2412yes—
953C2×C4×D71C2414yes—
954C2×C4×D71C2414yes—
955C2×C4×D71C2414yes—
956C2×C4×D71C2414yes—
957C2×C4×D71C2414yes—
958C2×C4×D71C2412yes—
959C2×C4×D71C2412yes—
960C2×C4×D71C2414yes—
961C2×C4×D71C2414yes—
962C2×C4×D71C2411yescharacteristic
963C2×C4×D71C2411yescharacteristic
964C2×C4×D71C2411yescharacteristic
965C2×C4×D71C2411yescharacteristic
966C4⋊Dic71C2412yes—
967C4⋊Dic71C2412yes—
968C4⋊Dic71C2411yescharacteristic
969C4⋊Dic71C2411yescharacteristic
970C4⋊Dic71C2411yescharacteristic
971C4⋊Dic71C2411yescharacteristic
972C4⋊Dic71C2412yes—
973C4⋊Dic71C2412yes—
974C4⋊Dic71C2414yes—
975C4⋊Dic71C2411yescharacteristic
976C4⋊Dic71C2411yescharacteristic
977C4⋊Dic71C2412yes—
978C4⋊Dic71C2414yes—
979C4⋊Dic71C2414yes—
980C4⋊Dic71C2414yes—
981C4⋊Dic71C2412yes—
982Dic71⋊C4C2414yes—
983Dic71⋊C4C2414yes—
984Dic71⋊C4C2412yes—
985Dic71⋊C4C2412yes—
986Dic71⋊C4C2412yes—
987Dic71⋊C4C2412yes—
988Dic71⋊C4C2412yes—
989Dic71⋊C4C2412yes—
990Dic71⋊C4C2412yes—
991Dic71⋊C4C2412yes—
992Dic71⋊C4C2414yes—
993Dic71⋊C4C2414yes—
994Dic71⋊C4C2412yes—
995Dic71⋊C4C2412yes—
996Dic71⋊C4C2412yes—
997Dic71⋊C4C2412yes—
998Dic71⋊C4C2414yes—
999Dic71⋊C4C2414yes—
1000Dic71⋊C4C2414yes—
1001Dic71⋊C4C2414yes—
1002Dic71⋊C4C2414yes—
1003Dic71⋊C4C2414yes—
1004Dic71⋊C4C2412yes—
1005Dic71⋊C4C2412yes—
1006C22⋊Dic71C2412yes—
1007C22⋊Dic71C2412yes—
1008C22⋊Dic71C2412yes—
1009C22⋊Dic71C2412yes—
1010C22⋊Dic71C2412yes—
1011C22⋊Dic71C2414yes—
1012C22⋊Dic71C2414yes—
1013C22⋊Dic71C2414yes—
1014C22⋊Dic71C2414yes—
1015C22⋊Dic71C2414yes—
1016C22⋊Dic71C2414yes—
1017C22⋊Dic71C2412yes—
1018C22⋊Dic71C2412yes—
1019C22⋊Dic71C2414yes—
1020C22⋊Dic71C2412yes—
1021C22⋊Dic71C2412yes—
1022(C2×D71)⋊C4C2412yes—
1023(C2×D71)⋊C4C2412yes—
1024(C2×D71)⋊C4C2412yes—
1025(C2×D71)⋊C4C2412yes—
1026(C2×D71)⋊C4C2412yes—
1027(C2×D71)⋊C4C2412yes—
1028(C2×D71)⋊C4C2412yes—
1029(C2×D71)⋊C4C2412yes—
1030(C2×D71)⋊C4C2412yes—
1031(C2×D71)⋊C4C2412yes—
1032(C2×D71)⋊C4C2414yes—
1033(C2×D71)⋊C4C2414yes—
1034(C2×D71)⋊C4C2414yes—
1035(C2×D71)⋊C4C2414yes—
1036(C2×D71)⋊C4C2414yes—
1037(C2×D71)⋊C4C2414yes—
1038(C2×D71)⋊C4C2414yes—
1039(C2×D71)⋊C4C2414yes—
1040(C2×D71)⋊C4C2414yes—
1041(C2×D71)⋊C4C2414yes—
1042(C2×D71)⋊C4C2414yes—
1043(C2×D71)⋊C4C2414yes—
1044(C2×D71)⋊C4C2412yes—
1045(C2×D71)⋊C4C2412yes—
1046(C2×D71)⋊C4C2412yes—
1047(C2×D71)⋊C4C2412yes—
1048(C2×D71)⋊C4C2414yes—
1049(C2×D71)⋊C4C2412yes—
1050(C2×D71)⋊C4C2412yes—
1051(C2×D71)⋊C4C2414yes—
1052(C2×D71)⋊C4C2412yes—
1053(C2×D71)⋊C4C2412yes—
1054C4×Dic71C2412yes—
1055C4×Dic71C2412yes—
1056C4×Dic71C2412yes—
1057C4×Dic71C2412yes—
1058C4×Dic71C2412yes—
1059C4×Dic71C2412yes—
1060C4×Dic71C2412yes—
1061C4×Dic71C2412yes—
1062C4×Dic71C2412yes—
1063C4×Dic71C2412yes—
1064C4×Dic71C2412yes—
1065C4×Dic71C2412yes—
1066C4×Dic71C2412yes—
1067C4×Dic71C2412yes—
1068C4×Dic71C2414yes—
1069C4×Dic71C2414yes—
1070C4×Dic71C2414yes—
1071C4×Dic71C2412yes—
1072C24×C71C2411yescharacteristic
1073C24×C71C2412yes—
1074#41×C71—24no—
1075#41×C71—48no—
1076C2×Q8×C71C2411yescharacteristic
1077C2×Q8×C71C2414yes—
1078C2×D4×C71—24no—
1079C2×D4×C71—44no—
1080C2×D4×C71C2414yes—
1081C2×D4×C71C2412yes—
1082C2×D4×C71C2412yes—
1083C2×D4×C71C2412yes—
1084C2×D4×C71C2411yescharacteristic
1085C2×D4×C71C2412yes—
1086C2×D4×C71C2414yes—
1087C2×D4×C71C2414yes—
1088C2×D4×C71C2412yes—
1089C2×D4×C71C2414yes—
1090C22×C4×C71—24no—
1091C22×C4×C71C2411yescharacteristic
1092C22×C4×C71C2411yescharacteristic
1093C22×C4×C71C2411yescharacteristic
1094C22×C4×C71C2411yescharacteristic
1095C22×C4×C71C2411yescharacteristic
1096C22×C4×C71C2412yes—
1097C22×C4×C71C2412yes—
1098C22×C4×C71C2412yes—
1099C22×C4×C71C2414yes—
1100C22×C4×C71C2414yes—
1101C22×C4×C71C2412yes—
1102C22×C4×C71C2414yes—
1103C22×C4×C71C2411yescharacteristic
1104C4⋊C4×C71C2412yes—
1105C4⋊C4×C71C2412yes—
1106C4⋊C4×C71C2411yescharacteristic
1107C4⋊C4×C71C2411yescharacteristic
1108C4⋊C4×C71C2411yescharacteristic
1109C4⋊C4×C71C2411yescharacteristic
1110C4⋊C4×C71C2412yes—
1111C4⋊C4×C71C2412yes—
1112C4⋊C4×C71C2414yes—
1113C4⋊C4×C71C2411yescharacteristic
1114C4⋊C4×C71C2411yescharacteristic
1115C4⋊C4×C71C2412yes—
1116C4⋊C4×C71C2414yes—
1117C4⋊C4×C71C2414yes—
1118C4⋊C4×C71C2414yes—
1119C4⋊C4×C71C2412yes—
1120C22⋊C4×C71C2412yes—
1121C22⋊C4×C71C2412yes—
1122C22⋊C4×C71C2412yes—
1123C22⋊C4×C71C2412yes—
1124C22⋊C4×C71C2412yes—
1125C22⋊C4×C71C2414yes—
1126C22⋊C4×C71C2414yes—
1127C22⋊C4×C71C2414yes—
1128C22⋊C4×C71C2414yes—
1129C22⋊C4×C71C2414yes—
1130C22⋊C4×C71C2414yes—
1131C22⋊C4×C71C2412yes—
1132C22⋊C4×C71C2412yes—
1133C22⋊C4×C71C2414yes—
1134C22⋊C4×C71C2412yes—
1135C22⋊C4×C71C2412yes—
1136C42×C71C2412yes—
1137C42×C71C2412yes—
1138C42×C71C2412yes—
1139C42×C71C2412yes—
1140C42×C71C2412yes—
1141C42×C71C2414yes—
1142C23×C71—22no—
1143C23×C71—22no—
1144C23×C71—24no—
1145C23×C71—41no—
1146C23×C71—42no—
1147C23×C71—42no—
1148C23×C71C2511yescharacteristic
1149C23×C71C2514yes—
1150C23×C71C2512yes—
1151C23×C71C2511yescharacteristic
1152C23×C71C2511yescharacteristic
1153C22×D71—22no—
1154C22×D71—22no—
1155C22×D71—22no—
1156C22×D71—22no—
1157C22×D71—22no—
1158C22×D71—22no—
1159C22×D71—24no—
1160C22×D71—22no—
1161C22×D71—22no—
1162C22×D71—22no—
1163C22×D71—24no—
1164C22×D71—28no—
1165C22×D71—24no—
1166C22×D71—28no—
1167C22×D71—22no—
1168C22×D71—22no—
1169C22×D71—22no—
1170C22×D71—28no—
1171C22×D71—24no—
1172C22×D71—22no—
1173C22×D71—28no—
1174C22×D71—41no—
1175C22×D71—41no—
1176C22×D71—41no—
1177C22×D71—416no—
1178C22×D71—44no—
1179C22×D71—42no—
1180C22×D71—44no—
1181C22×D71—42no—
1182C22×D71—816no—
1183C22×D71C2×#4114yes—
1184C22×D71H(5,𝔽2)14yes—
1185C22×D71C2511yescharacteristic
1186C22×D71C2514yes—
1187C22×D71C2512yes—
1188C22×D71C2511yescharacteristic
1189C22×D71C2511yescharacteristic
1190C22×D71C2511yescharacteristic
1191Q8×C71—22no—
1192Q8×C71—44no—
1193D4×C71—24no—
1194D4×C71—28no—
1195D4×C71—24no—
1196D4×C71—24no—
1197D4×C71—24no—
1198D4×C71—22no—
1199D4×C71—44no—
1200D4×C71—44no—
1201D4×C71—42no—
1202D4×C71—44no—
1203C2×C4×C71—22no—
1204C2×C4×C71—24no—
1205C2×C4×C71—22no—
1206C2×C4×C71—22no—
1207C2×C4×C71—22no—
1208C2×C4×C71—22no—
1209C2×C4×C71—24no—
1210C2×C4×C71—42no—
1211C2×C4×C71—44no—
1212C2×C4×C71—44no—
1213C2×C4×C71—44no—
1214C2×C4×C71—42no—
1215C2×C4×C71C2×#4114yescomplemented
1216C2×C4×C71C2511yescharacteristic
1217C2×C4×C71C2512yes—
1218C2×C4×C71C2512yes—
1219C2×C4×C71C2512yes—
1220C2×C4×C71C2512yes—
1221C2×C4×C71C2512yes—
1222C2×C4×C71C2512yes—
1223C2×C4×C71C2512yes—
1224C2×C4×C71C2514yes—
1225C2×C4×C71C2511yescharacteristic
1226C2×C4×C71C2511yescharacteristic
1227C2×C4×C71C2511yescharacteristic
1228C22⋊D71—24no—
1229C22⋊D71—28no—
1230C22⋊D71—24no—
1231C22⋊D71—24no—
1232C22⋊D71—28no—
1233C22⋊D71—24no—
1234C22⋊D71—28no—
1235C22⋊D71—28no—
1236C22⋊D71—24no—
1237C22⋊D71—44no—
1238C22⋊D71—44no—
1239C22⋊D71—42no—
1240C22⋊D71—42no—
1241C22⋊D71—44no—
1242C22⋊D71—44no—
1243C22⋊D71—44no—
1244C22⋊D71—44no—
1245C2×Dic71—22no—
1246C2×Dic71—24no—
1247C2×Dic71—22no—
1248C2×Dic71—22no—
1249C2×Dic71—22no—
1250C2×Dic71—22no—
1251C2×Dic71—24no—
1252C2×Dic71—44no—
1253C2×Dic71—42no—
1254C2×Dic71—42no—
1255C2×Dic71—44no—
1256C2×Dic71—44no—
1257C2×Dic71C2×#4114yescomplemented
1258C2×Dic71C2511yescharacteristic
1259C2×Dic71C2512yes—
1260C2×Dic71C2512yes—
1261C2×Dic71C2512yes—
1262C2×Dic71C2512yes—
1263C2×Dic71C2512yes—
1264C2×Dic71C2512yes—
1265C2×Dic71C2512yes—
1266C2×Dic71C2514yes—
1267C2×Dic71C2511yescharacteristic
1268C2×Dic71C2511yescharacteristic
1269C2×Dic71C2511yescharacteristic
1270D284—24no—
1271D284—28no—
1272D284—24no—
1273D284—24no—
1274D284—24no—
1275D284—22no—
1276D284—44no—
1277D284—42no—
1278D284—44no—
1279D284—44no—
1280C4×D71—22no—
1281C4×D71—22no—
1282C4×D71—22no—
1283C4×D71—22no—
1284C4×D71—24no—
1285C4×D71—24no—
1286C4×D71—24no—
1287C4×D71—24no—
1288C4×D71—24no—
1289C4×D71—28no—
1290C4×D71—24no—
1291C4×D71—24no—
1292C4×D71—24no—
1293C4×D71—24no—
1294C4×D71—22no—
1295C4×D71—22no—
1296C4×D71—22no—
1297C4×D71—22no—
1298C4×D71—24no—
1299C4×D71—22no—
1300C4×D71—22no—
1301C4×D71—22no—
1302C4×D71—22no—
1303C4×D71—24no—
1304C4×D71—44no—
1305C4×D71—42no—
1306C4×D71—44no—
1307C4×D71—42no—
1308C4×D71—44no—
1309C4×D71—44no—
1310C4×D71—44no—
1311C4×D71—44no—
1312C4×D71—44no—
1313C4×D71C2×#4114yes—
1314C4×D71C2×#4114yes—
1315C4×D71C2×#4114yescomplemented
1316C4×D71C2×#4114yescomplemented
1317Dic142—22no—
1318Dic142—24no—
1319Dic142—44no—
1320Dic142—44no—
1321Dic142—44no—
1322C22×C71—21no—
1323C22×C71—21no—
1324C22×C71—21no—
1325C22×C71—21no—
1326C22×C71—21no—
1327C22×C71—22no—
1328C22×C71—24no—
1329C22×C71—22no—
1330C22×C71—24no—
1331C22×C71—21no—
1332C22×C71—24no—
1333C22×C71—22no—
1334C22×C71—21no—
1335C22×C71—44no—
1336C22×C71—84no—
1337C22×C71C22×#4112yes—
1338C22×C71C2×H(5,𝔽2)12yes—
1339C22×C71C2611yescharacteristic
1340C2×D71—21no—
1341C2×D71—21no—
1342C2×D71—21no—
1343C2×D71—21no—
1344C2×D71—28no—
1345C2×D71—28no—
1346C2×D71—21no—
1347C2×D71—22no—
1348C2×D71—24no—
1349C2×D71—22no—
1350C2×D71—24no—
1351C2×D71—21no—
1352C2×D71—24no—
1353C2×D71—22no—
1354C2×D71—21no—
1355C2×D71—44no—
1356C2×D71—44no—
1357C2×D71—44no—
1358C2×D71—48no—
1359C2×D71—44no—
1360C2×D71—416no—
1361C2×D71—88no—
1362C2×D71—84no—
1363C2×D71C22×#4112yes—
1364C2×D71C22×#4112yes—
1365C2×D71C2×H(5,𝔽2)12yes—
1366C2×D71C2×H(5,𝔽2)12yes—
1367C2×D71#58512yes—
1368C4×C71—22no—
1369C4×C71—21no—
1370C4×C71—21no—
1371C4×C71—22no—
1372C4×C71—22no—
1373C4×C71—24no—
1374C4×C71—22no—
1375C4×C71—22no—
1376C4×C71—22no—
1377C4×C71—22no—
1378C4×C71C22×#4112yes—
1379C4×C71C22×#4112yes—
1380Dic71—22no—
1381Dic71—21no—
1382Dic71—21no—
1383Dic71—22no—
1384Dic71—22no—
1385Dic71—24no—
1386Dic71—22no—
1387Dic71—22no—
1388Dic71—22no—
1389Dic71—22no—
1390Dic71C22×#4112yes—
1391Dic71C22×#4112yes—
1392C2×#3494—711nomaximal, Sylow
1393C2×C71—22no—
1394C2×C71—22no—
1395C2×C71—41no—
1396C2×C71—44no—
1397C2×C71—42no—
1398C2×C71C23×#4111yescharacteristic
1399C2×C71C22×H(5,𝔽2)11yescharacteristic
1400C2×C71C2×#58511yescharacteristic
1401D71—22no—
1402D71—22no—
1403D71—42no—
1404D71—41no—
1405D71—44no—
1406D71#349414yesdirect product factor
1407#3494—712no—
1408#3494—712no—
1409#3494—712no—
1410#3494—714no—
1411#3494—712no—
1412#3494—714no—
1413#3494—711no—
1414#3494—712no—
1415#3494—712no—
1416#3494—711no—
1417#3494—712no—
1418#3494—712no—
1419#3494—711no—
1420#3494—711no—
1421#3494—711no—
1422#3494—711no—
1423#3494—711no—
1424#3494D7111yescharacteristic, direct product factor
1425C2×#555—712no—
1426C2×#553—712no—
1427C2×#553—712no—
1428C2×#551—714no—
1429C2×#547—712no—
1430C2×#546—714no—
1431C2×#544—711no—
1432C2×#542—712no—
1433C2×#540—712no—
1434C2×#535—711no—
1435C2×#532—712no—
1436C2×#529—712no—
1437C2×#525—711no—
1438C22×#121—711no—
1439C2×#520—711no—
1440C2×#518—711no—
1441C22×#117—711no—
1442C71C2×#349411yescharacteristic, complemented, Sylow
1443C22×#41—714no—
1444C22×#41—711no—
1445C23×D4—712no—
1446C23×D4—711no—
1447C24×C4—711no—
1448#555—712no—
1449#555—714no—
1450#555—714no—
1451#555—712no—
1452#555—712no—
1453#555—714no—
1454#555—712no—
1455#555—712no—
1456#555—712no—
1457#555—712no—
1458#555—714no—
1459#555C2×D7112yescomplemented
1460#553—714no—
1461#553—714no—
1462#553—712no—
1463#553—712no—
1464#553—714no—
1465#553—714no—
1466#553—712no—
1467#553—712no—
1468#553—714no—
1469#553—714no—
1470#553—712no—
1471#553—712no—
1472#553—712no—
1473#553—712no—
1474#553—714no—
1475#553—714no—
1476#553—712no—
1477#553—712no—
1478#553—712no—
1479#553—712no—
1480#553—712no—
1481#553—712no—
1482#553C2×D7112yescomplemented
1483#553C2×D7112yescomplemented
1484#551—714no—
1485#551—714no—
1486#551—714no—
1487#551—714no—
1488#551—714no—
1489#551—714no—
1490#551—714no—
1491#551—714no—
1492#551—714no—
1493#551—714no—
1494#551—714no—
1495#551—714no—
1496#551—714no—
1497#551—714no—
1498#551—714no—
1499#551C2×D7114yescomplemented
1500#547—714no—
1501#547—712no—
1502#547—714no—
1503#547—714no—
1504#547—714no—
1505#547—712no—
1506#547—712no—
1507#547—712no—
1508#547—712no—
1509#547—712no—
1510#547—712no—
1511#547C2×D7112yescomplemented
1512#546—714no—
1513#546—714no—
1514#546—714no—
1515#546—714no—
1516#546—714no—
1517#546—714no—
1518#546—714no—
1519#546—714no—
1520#546—714no—
1521#546—714no—
1522#546—714no—
1523#546—714no—
1524#546—714no—
1525#546—714no—
1526#546—714no—
1527#546C2×D7114yescomplemented
1528#544—712no—
1529#544—712no—
1530#544—712no—
1531#544—712no—
1532#544—714no—
1533#544—711no—
1534#544—711no—
1535#544—711no—
1536#544C2×D7111yescharacteristic, complemented
1537#542—712no—
1538#542—714no—
1539#542—714no—
1540#542—712no—
1541#542—714no—
1542#542—714no—
1543#542—712no—
1544#542—712no—
1545#542—712no—
1546#542—712no—
1547#542—712no—
1548#542C2×D7112yescomplemented
1549#540—712no—
1550#540—712no—
1551#540—714no—
1552#540—714no—
1553#540—712no—
1554#540—714no—
1555#540—714no—
1556#540—712no—
1557#540—712no—
1558#540—712no—
1559#540—712no—
1560#540C2×D7112yescomplemented
1561#535—711no—
1562#535—711no—
1563#535—712no—
1564#535—712no—
1565#535—712no—
1566#535—712no—
1567#535—714no—
1568#535—711no—
1569#535C2×D7111yescharacteristic, complemented
1570#532—714no—
1571#532—712no—
1572#532—712no—
1573#532—714no—
1574#532—712no—
1575#532—712no—
1576#532—714no—
1577#532—714no—
1578#532—712no—
1579#532—712no—
1580#532—712no—
1581#532C2×D7112yescomplemented
1582C2×C4⋊Q8—712no—
1583C2×C4⋊Q8—712no—
1584C2×#127—712no—
1585#529—714no—
1586#529—712no—
1587#529—712no—
1588#529—714no—
1589#529—712no—
1590#529—712no—
1591#529—712no—
1592#529—714no—
1593#529—712no—
1594#529—714no—
1595#529—712no—
1596#529C2×D7112yescomplemented
1597C2×#126—714no—
1598C2×#126—714no—
1599C2×#125—712no—
1600C2×#125—712no—
1601C2×#124—712no—
1602C2×#124—714no—
1603C2×#124—714no—
1604#525—711no—
1605#525—711no—
1606#525—712no—
1607#525—711no—
1608#525—711no—
1609#525—711no—
1610#525—711no—
1611#525—712no—
1612#525—712no—
1613#525—712no—
1614#525—711no—
1615#525C2×D7111yescharacteristic, complemented
1616C2×#123—712no—
1617C2×#123—714no—
1618C2×#123—714no—
1619C2×#123—714no—
1620C2×#123—714no—
1621C2×C22⋊Q8—714no—
1622C2×C22⋊Q8—711no—
1623C2×C22⋊Q8—711no—
1624C2×C22⋊Q8—714no—
1625C2×#121—711no—
1626C2×#121—712no—
1627C2×#121—711no—
1628C2×#121—712no—
1629C2×#121—712no—
1630C2×#121—712no—
1631C2×#121—712no—
1632C2×#121—712no—
1633C2×#121—712no—
1634C2×#121—712no—
1635C2×#121—712no—
1636C2×#121—711no—
1637C2×#121—711no—
1638C2×#121—714no—
1639C2×#121—712no—
1640C2×#121—712no—
1641C2×#121—714no—
1642C2×#121—714no—
1643C2×#121—711no—
1644C2×#121—712no—
1645C2×#121C2×D7111yescharacteristic, complemented
1646C2×#120—712no—
1647C2×#120—714no—
1648#520—711no—
1649#520—712no—
1650#520—714no—
1651#520—712no—
1652#520—711no—
1653#520—712no—
1654#520—711no—
1655#520—712no—
1656#520C2×D7111yescharacteristic, complemented
1657#518—711no—
1658#518—712no—
1659#518—712no—
1660#518—712no—
1661#518—712no—
1662#518—711no—
1663#518—711no—
1664#518—714no—
1665#518C2×D7111yescharacteristic, complemented
1666C2×C4×Q8—712no—
1667C2×C4×D4—714no—
1668C2×C4×D4—712no—
1669C2×C4×D4—712no—
1670C2×C4×D4—712no—
1671C2×C4×D4—712no—
1672C2×C4×D4—712no—
1673C2×C4×D4—712no—
1674C2×C4×D4—712no—
1675C2×C4×D4—714no—
1676C2×C4×D4—714no—
1677C2×#117—711no—
1678C2×#117—711no—
1679C2×#117—711no—
1680C2×#117—712no—
1681C2×#117—711no—
1682C2×#117—711no—
1683C2×#117—712no—
1684C2×#117—711no—
1685C2×#117—712no—
1686C2×#117—711no—
1687C2×#117—711no—
1688C2×#117—712no—
1689C2×#117—711no—
1690C2×#117—711no—
1691C2×#117—712no—
1692C2×#117—714no—
1693C2×#117—711no—
1694C2×#117—711no—
1695C2×#117—712no—
1696C2×#117—712no—
1697C2×#117C2×D7111yescharacteristic, complemented
1698C22×C4⋊C4—711no—
1699C22×C4⋊C4—711no—
1700C22×C4⋊C4—711no—
1701C22×C4⋊C4—712no—
1702C22×C22⋊C4—712no—
1703C22×C22⋊C4—714no—
1704C22×C22⋊C4—712no—
1705C22×C42—712no—
1706C25—712no—
1707C25—711no—
1708C2×#41—28416no—
1709C2×#41—714no—
1710C2×#41—711no—
1711C2×#41—714no—
1712C2×#41—714no—
1713C2×#41—714no—
1714C2×#41—712no—
1715C2×#41—711no—
1716C2×#41—714no—
1717C2×#41—714no—
1718C2×#41—714no—
1719C2×#41—712no—
1720C2×#41—711no—
1721C2×#41—1428no—
1722C2×#41C22×D7111yescharacteristic
1723C2×#41C22×D7114yescomplemented
1724C22×Q8—714no—
1725C22×Q8—711no—
1726C22×D4—2848no—
1727C22×D4—712no—
1728C22×D4—712no—
1729C22×D4—712no—
1730C22×D4—714no—
1731C22×D4—714no—
1732C22×D4—714no—
1733C22×D4—714no—
1734C22×D4—714no—
1735C22×D4—712no—
1736C22×D4—712no—
1737C22×D4—712no—
1738C22×D4—712no—
1739C22×D4—711no—
1740C22×D4—712no—
1741C22×D4—714no—
1742C22×D4—712no—
1743C22×D4—712no—
1744C22×D4—712no—
1745C22×D4—711no—
1746C22×D4—1428no—
1747C22×D4C22×D7111yescharacteristic
1748C22×D4C22×D7112yes—
1749C23×C4—712no—
1750C23×C4—712no—
1751C23×C4—714no—
1752C23×C4—714no—
1753C23×C4—714no—
1754C23×C4—711no—
1755C23×C4—711no—
1756C23×C4—711no—
1757C23×C4—712no—
1758C23×C4—711no—
1759C23×C4—712no—
1760C23×C4—711no—
1761C23×C4—711no—
1762C23×C4—711no—
1763C23×C4—711no—
1764C23×C4—711no—
1765C23×C4—711no—
1766C23×C4—711no—
1767C23×C4—711no—
1768C23×C4—711no—
1769C23×C4—1428no—
1770C23×C4C22×D7111yescharacteristic
1771C4⋊Q8—714no—
1772C4⋊Q8—714no—
1773C4⋊Q8—714no—
1774C4⋊Q8—712no—
1775C4⋊Q8—712no—
1776C4⋊Q8—714no—
1777C4⋊Q8—712no—
1778C4⋊Q8—712no—
1779C4⋊Q8—712no—
1780C4⋊Q8—712no—
1781C4⋊Q8C22×D7112yescomplemented
1782C4⋊Q8C22×D7112yescomplemented
1783#127—712no—
1784#127—712no—
1785#127—714no—
1786#127—714no—
1787#127—712no—
1788#127C22×D7112yescomplemented
1789#126—714no—
1790#126—714no—
1791#126—714no—
1792#126—714no—
1793#126—714no—
1794#126—714no—
1795#126—714no—
1796#126—714no—
1797#126—714no—
1798#126—714no—
1799#126—714no—
1800#126—714no—
1801#126—714no—
1802#126—714no—
1803#126C22×D7114yescomplemented
1804#126C22×D7114yescomplemented
1805#125—714no—
1806#125—714no—
1807#125—712no—
1808#125—712no—
1809#125—714no—
1810#125—714no—
1811#125—712no—
1812#125—712no—
1813#125—712no—
1814#125—712no—
1815#125C22×D7112yescomplemented
1816#125C22×D7112yescomplemented
1817#124—712no—
1818#124—714no—
1819#124—714no—
1820#124—712no—
1821#124—714no—
1822#124—714no—
1823#124—714no—
1824#124—714no—
1825#124—714no—
1826#124—714no—
1827#124—714no—
1828#124—714no—
1829#124—714no—
1830#124—714no—
1831#124—714no—
1832#124—714no—
1833#124—712no—
1834#124—714no—
1835#124—714no—
1836#124C22×D7112yescomplemented
1837#124C22×D7114yescomplemented
1838#124C22×D7114yescomplemented
1839#123—712no—
1840#123—714no—
1841#123—714no—
1842#123—714no—
1843#123—714no—
1844#123—712no—
1845#123—714no—
1846#123—714no—
1847#123—714no—
1848#123—714no—
1849#123—712no—
1850#123—712no—
1851#123—714no—
1852#123—714no—
1853#123—714no—
1854#123—714no—
1855#123—714no—
1856#123—714no—
1857#123—714no—
1858#123—714no—
1859#123—712no—
1860#123—712no—
1861#123—712no—
1862#123—714no—
1863#123—714no—
1864#123—714no—
1865#123—714no—
1866#123—714no—
1867#123—714no—
1868#123—714no—
1869#123—714no—
1870#123—714no—
1871#123—714no—
1872#123—714no—
1873#123—714no—
1874#123C22×D7112yes—
1875#123C22×D7114yescomplemented
1876#123C22×D7114yescomplemented
1877#123C22×D7114yescomplemented
1878#123C22×D7114yescomplemented
1879C22⋊Q8—711no—
1880C22⋊Q8—711no—
1881C22⋊Q8—714no—
1882C22⋊Q8—714no—
1883C22⋊Q8—711no—
1884C22⋊Q8—711no—
1885C22⋊Q8—714no—
1886C22⋊Q8—714no—
1887C22⋊Q8—712no—
1888C22⋊Q8—711no—
1889C22⋊Q8—712no—
1890C22⋊Q8—711no—
1891C22⋊Q8—714no—
1892C22⋊Q8—714no—
1893C22⋊Q8—714no—
1894C22⋊Q8—714no—
1895C22⋊Q8—714no—
1896C22⋊Q8—714no—
1897C22⋊Q8—712no—
1898C22⋊Q8—712no—
1899C22⋊Q8—714no—
1900C22⋊Q8—714no—
1901C22⋊Q8—714no—
1902C22⋊Q8—714no—
1903C22⋊Q8C22×D7114yes—
1904C22⋊Q8C22×D7111yescharacteristic, complemented
1905C22⋊Q8C22×D7111yescharacteristic, complemented
1906C22⋊Q8C22×D7114yescomplemented
1907#121—712no—
1908#121—714no—
1909#121—712no—
1910#121—714no—
1911#121—712no—
1912#121—714no—
1913#121—712no—
1914#121—714no—
1915#121—711no—
1916#121—712no—
1917#121—711no—
1918#121—712no—
1919#121—714no—
1920#121—714no—
1921#121—714no—
1922#121—712no—
1923#121—714no—
1924#121—712no—
1925#121—714no—
1926#121—714no—
1927#121—714no—
1928#121—714no—
1929#121—714no—
1930#121—714no—
1931#121—714no—
1932#121—712no—
1933#121—712no—
1934#121—712no—
1935#121—712no—
1936#121—711no—
1937#121—711no—
1938#121—714no—
1939#121—712no—
1940#121—712no—
1941#121—714no—
1942#121—714no—
1943#121—712no—
1944#121—712no—
1945#121—712no—
1946#121—712no—
1947#121—711no—
1948#121—711no—
1949#121—714no—
1950#121—712no—
1951#121—712no—
1952#121—714no—
1953#121—714no—
1954#121—714no—
1955#121—714no—
1956#121—714no—
1957#121—714no—
1958#121—712no—
1959#121—712no—
1960#121—714no—
1961#121—714no—
1962#121—714no—
1963#121—714no—
1964#121—714no—
1965#121—714no—
1966#121—714no—
1967#121—714no—
1968#121C22×D7112yes—
1969#121C22×D7112yes—
1970#121C22×D7112yes—
1971#121C22×D7112yes—
1972#121C22×D7111yescharacteristic, complemented
1973#121C22×D7111yescharacteristic, complemented
1974#121C22×D7114yescomplemented
1975#121C22×D7112yescomplemented
1976#121C22×D7112yescomplemented
1977#121C22×D7114yescomplemented
1978#121C22×D7114yescomplemented
1979#120—712no—
1980#120—714no—
1981#120—712no—
1982#120—712no—
1983#120—712no—
1984#120—714no—
1985#120—714no—
1986#120—714no—
1987#120—712no—
1988#120—712no—
1989#120—712no—
1990#120—714no—
1991#120—714no—
1992#120—714no—
1993#120C22×D7112yes—
1994#120C22×D7114yes—
1995C4×Q8—712no—
1996C4×Q8—714no—
1997C4×Q8—712no—
1998C4×Q8—714no—
1999C4×Q8—712no—
2000C4×Q8C22×D7112yescomplemented
2001C4×D4—712no—
2002C4×D4—712no—
2003C4×D4—712no—
2004C4×D4—712no—
2005C4×D4—712no—
2006C4×D4—714no—
2007C4×D4—712no—
2008C4×D4—712no—
2009C4×D4—714no—
2010C4×D4—714no—
2011C4×D4—714no—
2012C4×D4—714no—
2013C4×D4—714no—
2014C4×D4—714no—
2015C4×D4—714no—
2016C4×D4—714no—
2017C4×D4—714no—
2018C4×D4—712no—
2019C4×D4—712no—
2020C4×D4—712no—
2021C4×D4—712no—
2022C4×D4—714no—
2023C4×D4—714no—
2024C4×D4—714no—
2025C4×D4—714no—
2026C4×D4—712no—
2027C4×D4—712no—
2028C4×D4—712no—
2029C4×D4—712no—
2030C4×D4—712no—
2031C4×D4—714no—
2032C4×D4—712no—
2033C4×D4—712no—
2034C4×D4—714no—
2035C4×D4—714no—
2036C4×D4—714no—
2037C4×D4—714no—
2038C4×D4—714no—
2039C4×D4—714no—
2040C4×D4—714no—
2041C4×D4—714no—
2042C4×D4—714no—
2043C4×D4—712no—
2044C4×D4—712no—
2045C4×D4—712no—
2046C4×D4—712no—
2047C4×D4—714no—
2048C4×D4—714no—
2049C4×D4—714no—
2050C4×D4—714no—
2051C4×D4—712no—
2052C4×D4—712no—
2053C4×D4—712no—
2054C4×D4—712no—
2055C4×D4—712no—
2056C4×D4—714no—
2057C4×D4—712no—
2058C4×D4—712no—
2059C4×D4—714no—
2060C4×D4—714no—
2061C4×D4C22×D7114yes—
2062C4×D4C22×D7112yescomplemented
2063C4×D4C22×D7112yescomplemented
2064C4×D4C22×D7112yescomplemented
2065C4×D4C22×D7112yescomplemented
2066C4×D4C22×D7112yescomplemented
2067C4×D4C22×D7112yescomplemented
2068C4×D4C22×D7112yescomplemented
2069C4×D4C22×D7114yescomplemented
2070C4×D4C22×D7114yescomplemented
2071#117—711no—
2072#117—711no—
2073#117—712no—
2074#117—712no—
2075#117—711no—
2076#117—711no—
2077#117—711no—
2078#117—712no—
2079#117—714no—
2080#117—711no—
2081#117—711no—
2082#117—711no—
2083#117—711no—
2084#117—712no—
2085#117—712no—
2086#117—712no—
2087#117—712no—
2088#117—711no—
2089#117—711no—
2090#117—711no—
2091#117—711no—
2092#117—711no—
2093#117—711no—
2094#117—712no—
2095#117—712no—
2096#117—714no—
2097#117—714no—
2098#117—712no—
2099#117—712no—
2100#117—712no—
2101#117—712no—
2102#117—712no—
2103#117—712no—
2104#117—712no—
2105#117—712no—
2106#117—712no—
2107#117—714no—
2108#117—714no—
2109#117—714no—
2110#117—712no—
2111#117—712no—
2112#117—712no—
2113#117—712no—
2114#117—712no—
2115#117—712no—
2116#117—712no—
2117#117—712no—
2118#117—712no—
2119#117—714no—
2120#117—714no—
2121#117—714no—
2122#117C22×D7111yescharacteristic
2123#117C22×D7111yescharacteristic
2124#117C22×D7112yes—
2125#117C22×D7111yescharacteristic
2126#117C22×D7112yescomplemented
2127#117C22×D7111yescharacteristic, complemented
2128#117C22×D7111yescharacteristic, complemented
2129#117C22×D7112yescomplemented
2130#117C22×D7114yescomplemented
2131C2×C4⋊C4—712no—
2132C2×C4⋊C4—711no—
2133C2×C4⋊C4—712no—
2134C2×C4⋊C4—711no—
2135C2×C4⋊C4—712no—
2136C2×C4⋊C4—711no—
2137C2×C4⋊C4—714no—
2138C2×C4⋊C4—712no—
2139C2×C4⋊C4—711no—
2140C2×C4⋊C4—712no—
2141C2×C4⋊C4—711no—
2142C2×C4⋊C4—711no—
2143C2×C4⋊C4—711no—
2144C2×C4⋊C4—712no—
2145C2×C4⋊C4—712no—
2146C2×C4⋊C4—712no—
2147C2×C4⋊C4—711no—
2148C2×C4⋊C4—711no—
2149C2×C4⋊C4—712no—
2150C2×C4⋊C4—711no—
2151C2×C4⋊C4—711no—
2152C2×C4⋊C4—712no—
2153C2×C4⋊C4—714no—
2154C2×C4⋊C4—712no—
2155C2×C4⋊C4—712no—
2156C2×C4⋊C4—714no—
2157C2×C4⋊C4—712no—
2158C2×C4⋊C4—712no—
2159C2×C4⋊C4—712no—
2160C2×C4⋊C4—711no—
2161C2×C4⋊C4—711no—
2162C2×C4⋊C4—714no—
2163C2×C4⋊C4—714no—
2164C2×C4⋊C4—714no—
2165C2×C4⋊C4—712no—
2166C2×C4⋊C4C22×D7111yescharacteristic
2167C2×C4⋊C4C22×D7111yescharacteristic, complemented
2168C2×C4⋊C4C22×D7111yescharacteristic, complemented
2169C2×C4⋊C4C22×D7112yescomplemented
2170C2×C22⋊C4—712no—
2171C2×C22⋊C4—714no—
2172C2×C22⋊C4—712no—
2173C2×C22⋊C4—712no—
2174C2×C22⋊C4—712no—
2175C2×C22⋊C4—714no—
2176C2×C22⋊C4—714no—
2177C2×C22⋊C4—712no—
2178C2×C22⋊C4—712no—
2179C2×C22⋊C4—712no—
2180C2×C22⋊C4—712no—
2181C2×C22⋊C4—712no—
2182C2×C22⋊C4—712no—
2183C2×C22⋊C4—712no—
2184C2×C22⋊C4—712no—
2185C2×C22⋊C4—712no—
2186C2×C22⋊C4—712no—
2187C2×C22⋊C4—712no—
2188C2×C22⋊C4—714no—
2189C2×C22⋊C4—714no—
2190C2×C22⋊C4—714no—
2191C2×C22⋊C4—714no—
2192C2×C22⋊C4—714no—
2193C2×C22⋊C4—714no—
2194C2×C22⋊C4—714no—
2195C2×C22⋊C4—714no—
2196C2×C22⋊C4—714no—
2197C2×C22⋊C4—714no—
2198C2×C22⋊C4—714no—
2199C2×C22⋊C4—714no—
2200C2×C22⋊C4—712no—
2201C2×C22⋊C4—712no—
2202C2×C22⋊C4—714no—
2203C2×C22⋊C4—712no—
2204C2×C22⋊C4—712no—
2205C2×C22⋊C4C22×D7112yes—
2206C2×C22⋊C4C22×D7114yes—
2207C2×C22⋊C4C22×D7112yes—
2208C2×C42—712no—
2209C2×C42—712no—
2210C2×C42—712no—
2211C2×C42—712no—
2212C2×C42—712no—
2213C2×C42—714no—
2214C2×C42—712no—
2215C2×C42—712no—
2216C2×C42—712no—
2217C2×C42—712no—
2218C2×C42—712no—
2219C2×C42—712no—
2220C2×C42—712no—
2221C2×C42C22×D7112yescomplemented
2222C24—2842no—
2223C24—2844no—
2224C24—2844no—
2225C24—714no—
2226C24—712no—
2227C24—711no—
2228C24—711no—
2229C24—711no—
2230C24—711no—
2231C24—711no—
2232C24—714no—
2233C24—711no—
2234C24—712no—
2235C24—1424no—
2236C24—1424no—
2237C24—1428no—
2238C24C23×D7111yescharacteristic
2239C24C23×D7112yes—
2240#41—24no—
2241#41—48no—
2242#41—2848no—
2243#41—2848no—
2244#41—2848no—
2245#41—2848no—
2246#41—2848no—
2247#41—2848no—
2248#41—2848no—
2249#41—1428no—
2250#41—1428no—
2251#41—1424no—
2252#41—1424no—
2253#41—1424no—
2254C2×Q8—2848no—
2255C2×Q8—714no—
2256C2×Q8—714no—
2257C2×Q8—714no—
2258C2×Q8—712no—
2259C2×Q8—711no—
2260C2×Q8—1424no—
2261C2×Q8C23×D7111yescharacteristic
2262C2×Q8C23×D7114yes—
2263C2×D4—24no—
2264C2×D4—44no—
2265C2×D4—2844no—
2266C2×D4—2848no—
2267C2×D4—2848no—
2268C2×D4—2844no—
2269C2×D4—2844no—
2270C2×D4—2848no—
2271C2×D4—2844no—
2272C2×D4—2848no—
2273C2×D4—2848no—
2274C2×D4—712no—
2275C2×D4—712no—
2276C2×D4—714no—
2277C2×D4—714no—
2278C2×D4—714no—
2279C2×D4—714no—
2280C2×D4—714no—
2281C2×D4—714no—
2282C2×D4—712no—
2283C2×D4—712no—
2284C2×D4—714no—
2285C2×D4—714no—
2286C2×D4—712no—
2287C2×D4—712no—
2288C2×D4—712no—
2289C2×D4—714no—
2290C2×D4—714no—
2291C2×D4—712no—
2292C2×D4—714no—
2293C2×D4—714no—
2294C2×D4—714no—
2295C2×D4—712no—
2296C2×D4—712no—
2297C2×D4—712no—
2298C2×D4—711no—
2299C2×D4—712no—
2300C2×D4—714no—
2301C2×D4—1428no—
2302C2×D4—1428no—
2303C2×D4—1428no—
2304C2×D4—1428no—
2305C2×D4—1424no—
2306C2×D4—1428no—
2307C2×D4—14216no—
2308C2×D4—1428no—
2309C2×D4—1428no—
2310C2×D4—1424no—
2311C2×D4C23×D7112yes—
2312C2×D4C23×D7112yes—
2313C2×D4C23×D7112yes—
2314C2×D4C23×D7111yescharacteristic
2315C2×D4C23×D7112yes—
2316C2×D4C23×D7114yes—
2317C2×D4C23×D7112yes—
2318C2×D4C23×D7114yes—
2319C2×D4C23×D7114yes—
2320C2×D4C23×D7114yes—
2321C22×C4—24no—
2322C22×C4—2848no—
2323C22×C4—2844no—
2324C22×C4—2844no—
2325C22×C4—2848no—
2326C22×C4—2848no—
2327C22×C4—712no—
2328C22×C4—712no—
2329C22×C4—714no—
2330C22×C4—714no—
2331C22×C4—714no—
2332C22×C4—712no—
2333C22×C4—712no—
2334C22×C4—714no—
2335C22×C4—714no—
2336C22×C4—714no—
2337C22×C4—714no—
2338C22×C4—714no—
2339C22×C4—714no—
2340C22×C4—714no—
2341C22×C4—711no—
2342C22×C4—718no—
2343C22×C4—711no—
2344C22×C4—711no—
2345C22×C4—711no—
2346C22×C4—711no—
2347C22×C4—711no—
2348C22×C4—712no—
2349C22×C4—711no—
2350C22×C4—711no—
2351C22×C4—712no—
2352C22×C4—711no—
2353C22×C4—711no—
2354C22×C4—712no—
2355C22×C4—711no—
2356C22×C4—711no—
2357C22×C4—711no—
2358C22×C4—712no—
2359C22×C4—712no—
2360C22×C4—712no—
2361C22×C4—712no—
2362C22×C4—712no—
2363C22×C4—712no—
2364C22×C4—712no—
2365C22×C4—712no—
2366C22×C4—714no—
2367C22×C4—711no—
2368C22×C4—711no—
2369C22×C4—711no—
2370C22×C4—711no—
2371C22×C4—711no—
2372C22×C4—712no—
2373C22×C4—712no—
2374C22×C4—711no—
2375C22×C4—711no—
2376C22×C4—711no—
2377C22×C4—711no—
2378C22×C4—1424no—
2379C22×C4—1424no—
2380C22×C4—1424no—
2381C22×C4—1424no—
2382C22×C4—1424no—
2383C22×C4—1424no—
2384C22×C4—1424no—
2385C22×C4—1424no—
2386C22×C4—1424no—
2387C22×C4—1428no—
2388C22×C4—1424no—
2389C22×C4—1428no—
2390C22×C4—1424no—
2391C22×C4—1424no—
2392C22×C4C23×D7111yescharacteristic
2393C22×C4C23×D7112yes—
2394C22×C4C23×D7111yescharacteristic
2395C22×C4C23×D7111yescharacteristic
2396C22×C4C23×D7112yes—
2397C22×C4C23×D7111yescharacteristic
2398C22×C4C23×D7111yescharacteristic
2399C22×C4C23×D7112yes—
2400C22×C4C23×D7112yes—
2401C22×C4C23×D7114yes—
2402C22×C4C23×D7114yes—
2403C22×C4C23×D7114yes—
2404C22×C4C23×D7111yescharacteristic
2405C4⋊C4—712no—
2406C4⋊C4—714no—
2407C4⋊C4—712no—
2408C4⋊C4—712no—
2409C4⋊C4—712no—
2410C4⋊C4—712no—
2411C4⋊C4—712no—
2412C4⋊C4—712no—
2413C4⋊C4—712no—
2414C4⋊C4—714no—
2415C4⋊C4—714no—
2416C4⋊C4—714no—
2417C4⋊C4—712no—
2418C4⋊C4—712no—
2419C4⋊C4—712no—
2420C4⋊C4—712no—
2421C4⋊C4—714no—
2422C4⋊C4—714no—
2423C4⋊C4—714no—
2424C4⋊C4—714no—
2425C4⋊C4—714no—
2426C4⋊C4—714no—
2427C4⋊C4—712no—
2428C4⋊C4—712no—
2429C4⋊C4—711no—
2430C4⋊C4—712no—
2431C4⋊C4—711no—
2432C4⋊C4—711no—
2433C4⋊C4—711no—
2434C4⋊C4—712no—
2435C4⋊C4—712no—
2436C4⋊C4—712no—
2437C4⋊C4—714no—
2438C4⋊C4—712no—
2439C4⋊C4—711no—
2440C4⋊C4—711no—
2441C4⋊C4—714no—
2442C4⋊C4—714no—
2443C4⋊C4—714no—
2444C4⋊C4—712no—
2445C4⋊C4C23×D7111yescharacteristic
2446C4⋊C4C23×D7112yes—
2447C4⋊C4C23×D7112yes—
2448C4⋊C4C23×D7111yescharacteristic
2449C4⋊C4C23×D7111yescharacteristic
2450C4⋊C4C23×D7111yescharacteristic
2451C4⋊C4C23×D7112yes—
2452C4⋊C4C23×D7112yes—
2453C4⋊C4C23×D7114yes—
2454C4⋊C4C23×D7112yes—
2455C4⋊C4C23×D7111yescharacteristic
2456C4⋊C4C23×D7111yescharacteristic
2457C4⋊C4C23×D7114yes—
2458C4⋊C4C23×D7114yes—
2459C4⋊C4C23×D7114yes—
2460C4⋊C4C23×D7112yes—
2461C22⋊C4—712no—
2462C22⋊C4—712no—
2463C22⋊C4—712no—
2464C22⋊C4—712no—
2465C22⋊C4—712no—
2466C22⋊C4—714no—
2467C22⋊C4—714no—
2468C22⋊C4—714no—
2469C22⋊C4—714no—
2470C22⋊C4—714no—
2471C22⋊C4—714no—
2472C22⋊C4—712no—
2473C22⋊C4—712no—
2474C22⋊C4—714no—
2475C22⋊C4—712no—
2476C22⋊C4—712no—
2477C22⋊C4—712no—
2478C22⋊C4—712no—
2479C22⋊C4—712no—
2480C22⋊C4—712no—
2481C22⋊C4—712no—
2482C22⋊C4—712no—
2483C22⋊C4—712no—
2484C22⋊C4—712no—
2485C22⋊C4—712no—
2486C22⋊C4—712no—
2487C22⋊C4—714no—
2488C22⋊C4—714no—
2489C22⋊C4—714no—
2490C22⋊C4—714no—
2491C22⋊C4—714no—
2492C22⋊C4—714no—
2493C22⋊C4—714no—
2494C22⋊C4—714no—
2495C22⋊C4—714no—
2496C22⋊C4—714no—
2497C22⋊C4—714no—
2498C22⋊C4—714no—
2499C22⋊C4—712no—
2500C22⋊C4—712no—
2501C22⋊C4—712no—
2502C22⋊C4—712no—
2503C22⋊C4—714no—
2504C22⋊C4—714no—
2505C22⋊C4—712no—
2506C22⋊C4—712no—
2507C22⋊C4—712no—
2508C22⋊C4—712no—
2509C22⋊C4C23×D7112yes—
2510C22⋊C4C23×D7112yes—
2511C22⋊C4C23×D7112yes—
2512C22⋊C4C23×D7112yes—
2513C22⋊C4C23×D7112yes—
2514C22⋊C4C23×D7114yes—
2515C22⋊C4C23×D7114yes—
2516C22⋊C4C23×D7114yes—
2517C22⋊C4C23×D7114yes—
2518C22⋊C4C23×D7114yes—
2519C22⋊C4C23×D7114yes—
2520C22⋊C4C23×D7112yes—
2521C22⋊C4C23×D7112yes—
2522C22⋊C4C23×D7114yes—
2523C22⋊C4C23×D7112yes—
2524C22⋊C4C23×D7112yes—
2525C42—712no—
2526C42—712no—
2527C42—712no—
2528C42—712no—
2529C42—712no—
2530C42—712no—
2531C42—712no—
2532C42—712no—
2533C42—712no—
2534C42—712no—
2535C42—712no—
2536C42—712no—
2537C42—714no—
2538C42—714no—
2539C42—714no—
2540C42—712no—
2541C42—712no—
2542C42—712no—
2543C42C23×D7112yes—
2544C42C23×D7112yes—
2545C42C23×D7112yes—
2546C42C23×D7112yes—
2547C42C23×D7114yes—
2548C42C23×D7112yes—
2549C23—22no—
2550C23—22no—
2551C23—24no—
2552C23—41no—
2553C23—42no—
2554C23—42no—
2555C23—2841no—
2556C23—2841no—
2557C23—2841no—
2558C23—2842no—
2559C23—2844no—
2560C23—2842no—
2561C23—2844no—
2562C23—28416no—
2563C23—56816no—
2564C23—711no—
2565C23—714no—
2566C23—714no—
2567C23—711no—
2568C23—711no—
2569C23—711no—
2570C23—714no—
2571C23—712no—
2572C23—1424no—
2573C23—1428no—
2574C23—1428no—
2575C23—1422no—
2576C23—1422no—
2577C23—1422no—
2578C23—1424no—
2579C23—1422no—
2580C23—1422no—
2581C23—1422no—
2582C23—1424no—
2583C23—1422no—
2584C23—1428no—
2585C23—1428no—
2586C23—1422no—
2587C23—1422no—
2588C23—1422no—
2589C23—1422no—
2590C23—1422no—
2591C23—1422no—
2592C23—1424no—
2593C23C24×D7111yescharacteristic
2594C23C24×D7114yes—
2595C23C24×D7112yes—
2596C23C24×D7111yescharacteristic
2597C23C24×D7111yescharacteristic
2598Q8—22no—
2599Q8—44no—
2600Q8—2844no—
2601Q8—2844no—
2602Q8—2844no—
2603Q8—1424no—
2604Q8—1422no—
2605D4—24no—
2606D4—28no—
2607D4—24no—
2608D4—24no—
2609D4—24no—
2610D4—22no—
2611D4—44no—
2612D4—44no—
2613D4—42no—
2614D4—44no—
2615D4—2844no—
2616D4—2844no—
2617D4—2842no—
2618D4—2844no—
2619D4—2844no—
2620D4—2844no—
2621D4—2844no—
2622D4—2844no—
2623D4—2842no—
2624D4—2842no—
2625D4—2844no—
2626D4—2844no—
2627D4—1428no—
2628D4—1424no—
2629D4—1424no—
2630D4—1428no—
2631D4—1428no—
2632D4—1424no—
2633D4—1428no—
2634D4—1424no—
2635D4—1424no—
2636D4—1424no—
2637D4—1428no—
2638D4—1424no—
2639D4—1424no—
2640D4—1424no—
2641D4—1422no—
2642C2×C4—22no—
2643C2×C4—24no—
2644C2×C4—22no—
2645C2×C4—22no—
2646C2×C4—22no—
2647C2×C4—22no—
2648C2×C4—24no—
2649C2×C4—42no—
2650C2×C4—44no—
2651C2×C4—44no—
2652C2×C4—44no—
2653C2×C4—42no—
2654C2×C4—2844no—
2655C2×C4—2844no—
2656C2×C4—2844no—
2657C2×C4—2844no—
2658C2×C4—2844no—
2659C2×C4—2844no—
2660C2×C4—2842no—
2661C2×C4—2844no—
2662C2×C4—2842no—
2663C2×C4—2842no—
2664C2×C4—2844no—
2665C2×C4—2844no—
2666C2×C4—2844no—
2667C2×C4—2842no—
2668C2×C4—714no—
2669C2×C4—711no—
2670C2×C4—711no—
2671C2×C4—714no—
2672C2×C4—714no—
2673C2×C4—714no—
2674C2×C4—714no—
2675C2×C4—711no—
2676C2×C4—712no—
2677C2×C4—712no—
2678C2×C4—712no—
2679C2×C4—712no—
2680C2×C4—712no—
2681C2×C4—712no—
2682C2×C4—712no—
2683C2×C4—714no—
2684C2×C4—711no—
2685C2×C4—1422no—
2686C2×C4—1422no—
2687C2×C4—1422no—
2688C2×C4—1422no—
2689C2×C4—1424no—
2690C2×C4—1424no—
2691C2×C4—1424no—
2692C2×C4—1428no—
2693C2×C4—1424no—
2694C2×C4—1424no—
2695C2×C4—1424no—
2696C2×C4—1422no—
2697C2×C4—1422no—
2698C2×C4—1422no—
2699C2×C4—1422no—
2700C2×C4—1424no—
2701C2×C4—1424no—
2702C2×C4—1424no—
2703C2×C4—1424no—
2704C2×C4—1422no—
2705C2×C4—1422no—
2706C2×C4—1422no—
2707C2×C4—1422no—
2708C2×C4—1424no—
2709C2×C4—1422no—
2710C2×C4—1424no—
2711C2×C4—1422no—
2712C2×C4—1422no—
2713C2×C4—1422no—
2714C2×C4—1422no—
2715C2×C4—1424no—
2716C2×C4#41×D7114yescomplemented
2717C2×C4C24×D7111yescharacteristic
2718C2×C4C24×D7112yes—
2719C2×C4C24×D7112yes—
2720C2×C4C24×D7112yes—
2721C2×C4C24×D7112yes—
2722C2×C4C24×D7112yes—
2723C2×C4C24×D7112yes—
2724C2×C4C24×D7112yes—
2725C2×C4C24×D7114yes—
2726C2×C4C24×D7111yescharacteristic
2727C2×C4C24×D7111yescharacteristic
2728C2×C4C24×D7111yescharacteristic
2729C22—21no—
2730C22—21no—
2731C22—21no—
2732C22—21no—
2733C22—21no—
2734C22—22no—
2735C22—24no—
2736C22—22no—
2737C22—24no—
2738C22—21no—
2739C22—24no—
2740C22—22no—
2741C22—21no—
2742C22—44no—
2743C22—84no—
2744C22—2844no—
2745C22—2844no—
2746C22—2844no—
2747C22—28416no—
2748C22—2848no—
2749C22—2844no—
2750C22—5684no—
2751C22—5688no—
2752C22—712no—
2753C22—712no—
2754C22—712no—
2755C22—712no—
2756C22—712no—
2757C22—1428no—
2758C22—1428no—
2759C22—1421no—
2760C22—1422no—
2761C22—1424no—
2762C22—1422no—
2763C22—1424no—
2764C22—1421no—
2765C22—1424no—
2766C22—1422no—
2767C22—1421no—
2768C22—1421no—
2769C22—1421no—
2770C22—1421no—
2771C22—1421no—
2772C22C2×#41×D7112yes—
2773C22H(5,𝔽2)×D7112yes—
2774C22C25×D7111yescharacteristic
2775C4—21no—
2776C4—21no—
2777C4—22no—
2778C4—22no—
2779C4—22no—
2780C4—24no—
2781C4—22no—
2782C4—22no—
2783C4—22no—
2784C4—22no—
2785C4—712no—
2786C4—712no—
2787C4—1421no—
2788C4—1421no—
2789C4—1422no—
2790C4—1422no—
2791C4—1424no—
2792C4—1422no—
2793C4—1422no—
2794C4—1422no—
2795C4—1422no—
2796C4—1422no—
2797C4C2×#41×D7112yes—
2798C4C2×#41×D7112yes—
2799C2—22no—
2800C2—22no—
2801C2—41no—
2802C2—44no—
2803C2—42no—
2804C2—2841no—
2805C2—2844no—
2806C2—2842no—
2807C2—714no—
2808C2—1422no—
2809C2—1422no—
2810C2C22×#41×D7111yescharacteristic
2811C2C2×H(5,𝔽2)×D7111yescharacteristic
2812C2#585×D7111yescharacteristic
subgroupG/H
center, FrattiniC22C25×D71
commutator, socle, cosocleC22×C71C26
FittingC71×#3494C2
hypercenter#3494D71
hypocenterC71C2×#3494
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C22 ◁ #3494

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #22602078C2semidirect
2. #22602077C2semidirect
3. #22602076C2semidirect
4. #22602075C2semidirect
5. #22602074C2semidirect
6. #22602073C2semidirect
7. #22602072C2semidirect
8. #22602071C2semidirect
9. #22602070C2semidirect
10. #22602069C2semidirect
11. #22602068C2semidirect
12. #22602067C2semidirect
13. #22602066C2semidirect
14. #22602065C2semidirect
15. #22602064C2semidirect
16. #22602063C2semidirect
17. #22602062C2semidirect
18. #555×D71C2semidirect
19. #553×D71C2semidirect
20. #553×D71C2semidirect
21. #551×D71C2semidirect
22. #547×D71C2semidirect
23. #546×D71C2semidirect
24. #544×D71C2semidirect
25. #542×D71C2semidirect
26. #540×D71C2semidirect
27. #535×D71C2semidirect
28. #532×D71C2semidirect
29. #529×D71C2semidirect
30. #525×D71C2semidirect
31. C2×#121×D71C2semidirect
32. #520×D71C2semidirect
33. #518×D71C2semidirect
34. C2×#117×D71C2semidirect
35. C71×#3494C2semidirect
37. C2×#41×D71C22semidirect
41. #17986715C22semidirect
42. #17986714C22semidirect
43. #17986714C22semidirect
44. #17986713C22semidirect
45. #17986713C22semidirect
46. #17986713C22semidirect
47. #17986712C22semidirect
48. #17986712C22semidirect
49. #17986712C22semidirect
50. #17986711C22semidirect
51. #17986711C22semidirect
52. #17986702C22semidirect
53. #17986702C22semidirect
54. #17986701C22semidirect
55. #17986701C22semidirect
56. #17986700C22semidirect
57. #17986700C22semidirect
58. #17986699C22semidirect
59. #17986699C22semidirect
60. #17986698C22semidirect
61. #17986698C22semidirect
62. #17986697C22semidirect
63. #17986697C22semidirect
64. #17986696C22semidirect
65. #17986696C22semidirect
66. #17986695C22semidirect
67. #17986695C22semidirect
68. #17986694C22semidirect
69. #17986694C22semidirect
70. #17986693C22semidirect
71. #17986693C22semidirect
72. #17986692C22semidirect
73. #17986692C22semidirect
74. #17986680C22semidirect
75. #17986679C22semidirect
76. #17986678C22semidirect
77. #17986678C22semidirect
78. #17986677C22semidirect
79. #17986676C22semidirect
80. #17986676C22semidirect
81. #17986675C22semidirect
82. #17986675C22semidirect
83. #17986674C22semidirect
84. #17986674C22semidirect
85. #17986673C22semidirect
86. #17986673C22semidirect
87. #17986672C22semidirect
88. #17986672C22semidirect
89. #17986654C22semidirect
90. #17986653C22semidirect
91. #17986652C22semidirect
92. #17986651C22semidirect
93. #17986650C22semidirect
94. #17986650C22semidirect
95. #17986649C22semidirect
96. #17986649C22semidirect
97. #17986648C22semidirect
98. #17986647C22semidirect
99. #17986647C22semidirect
100. #17986646C22semidirect
101. #17986645C22semidirect
102. #17986644C22semidirect
103. #17986643C22semidirect
104. #17986642C22semidirect
105. #17986641C22semidirect
106. #17986641C22semidirect
107. #17986640C22semidirect
108. #17986639C22semidirect
109. #17986639C22semidirect
110. #17986638C22semidirect
111. #17986638C22semidirect
112. #17986637C22semidirect
113. #17986636C22semidirect
114. #17986636C22semidirect
115. #17986630C22semidirect
116. #17986629C22semidirect
117. #17986629C22semidirect
118. #17986628C22semidirect
119. #17986627C22semidirect
120. #17986627C22semidirect
121. #17986626C22semidirect
122. #17986626C22semidirect
123. #17986623C22semidirect
124. #17986622C22semidirect
125. #17986621C22semidirect
126. #17986620C22semidirect
127. #17986619C22semidirect
128. #17986618C22semidirect
129. #17986617C22semidirect
130. #17986616C22semidirect
131. #17986615C22semidirect
132. #17986614C22semidirect
133. #17986613C22semidirect
134. #17986605C22semidirect
135. #17986604C22semidirect
136. #17986603C22semidirect
137. #17986602C22semidirect
138. #17986602C22semidirect
139. #17986601C22semidirect
140. #17986601C22semidirect
141. #17986600C22semidirect
142. #17986600C22semidirect
143. #17986599C22semidirect
144. #17986599C22semidirect
145. #17986568C22semidirect
146. #17986567C22semidirect
147. #17986566C22semidirect
148. #17986565C22semidirect
149. #17986565C22semidirect
150. #17986564C22semidirect
151. #17986563C22semidirect
152. #17986562C22semidirect
153. #17986550C22semidirect
154. #17986549C22semidirect
155. #17986548C22semidirect
156. #17986547C22semidirect
157. #17986546C22semidirect
158. #17986546C22semidirect
159. #17986546C22semidirect
160. #17986545C22semidirect
161. #17986544C22semidirect
162. #17986544C22semidirect
163. #17986544C22semidirect
164. C4⋊Q8×D71C22semidirect
165. C4⋊Q8×D71C22semidirect
166. #127×D71C22semidirect
167. #17986536C22semidirect
168. #17986535C22semidirect
169. #17986534C22semidirect
170. #17986533C22semidirect
171. #17986532C22semidirect
172. #17986531C22semidirect
173. #17986530C22semidirect
174. #17986529C22semidirect
175. #17986528C22semidirect
176. #17986527C22semidirect
177. #17986526C22semidirect
178. #126×D71C22semidirect
179. #126×D71C22semidirect
180. #125×D71C22semidirect
181. #125×D71C22semidirect
182. #124×D71C22semidirect
183. #124×D71C22semidirect
184. #124×D71C22semidirect
185. #17986512C22semidirect
186. #17986512C22semidirect
187. #17986511C22semidirect
188. #17986510C22semidirect
189. #17986509C22semidirect
190. #17986509C22semidirect
191. #17986508C22semidirect
192. #17986508C22semidirect
193. #17986507C22semidirect
194. #17986506C22semidirect
195. #17986505C22semidirect
197. #123×D71C22semidirect
198. #123×D71C22semidirect
199. #123×D71C22semidirect
200. #123×D71C22semidirect
202. C22⋊Q8×D71C22semidirect
203. C22⋊Q8×D71C22semidirect
204. C22⋊Q8×D71C22semidirect
205. C2×#14556103C22semidirect
206. C2×#14556102C22semidirect
207. C2×#14556101C22semidirect
208. C2×#14556100C22semidirect
209. C2×#14556099C22semidirect
214. #121×D71C22semidirect
215. #121×D71C22semidirect
216. #121×D71C22semidirect
217. #121×D71C22semidirect
218. #121×D71C22semidirect
219. #121×D71C22semidirect
220. #121×D71C22semidirect
221. #121×D71C22semidirect
222. #121×D71C22semidirect
223. #121×D71C22semidirect
224. #121×D71C22semidirect
227. #17986482C22semidirect
228. #17986481C22semidirect
229. #17986480C22semidirect
230. #17986480C22semidirect
231. #17986479C22semidirect
232. #17986479C22semidirect
233. #17986478C22semidirect
234. #17986478C22semidirect
235. #17986474C22semidirect
236. #17986473C22semidirect
237. #17986473C22semidirect
238. #17986472C22semidirect
239. #17986471C22semidirect
240. #17986471C22semidirect
241. #17986471C22semidirect
242. #17986471C22semidirect
243. C4×Q8×D71C22semidirect
245. C4×D4×D71C22semidirect
246. C4×D4×D71C22semidirect
247. C4×D4×D71C22semidirect
248. C4×D4×D71C22semidirect
249. C4×D4×D71C22semidirect
250. C4×D4×D71C22semidirect
251. C4×D4×D71C22semidirect
252. C4×D4×D71C22semidirect
253. C4×D4×D71C22semidirect
254. C2×#14556087C22semidirect
255. C2×#14556086C22semidirect
256. C2×#14556086C22semidirect
257. C2×#14556085C22semidirect
258. C2×#14556084C22semidirect
263. #117×D71C22semidirect
264. #117×D71C22semidirect
265. #117×D71C22semidirect
266. #117×D71C22semidirect
267. #117×D71C22semidirect
268. #117×D71C22semidirect
269. #117×D71C22semidirect
270. #117×D71C22semidirect
271. #117×D71C22semidirect
272. #117×D71C22semidirect
273. #117×D71C22semidirect
275. C2×C4⋊C4×D71C22semidirect
276. C2×C4⋊C4×D71C22semidirect
277. C2×C4⋊C4×D71C22semidirect
281. C2×C42×D71C22semidirect
282. #555×C71C22semidirect
283. #553×C71C22semidirect
284. #553×C71C22semidirect
285. #551×C71C22semidirect
286. #547×C71C22semidirect
287. #546×C71C22semidirect
288. #544×C71C22semidirect
289. #542×C71C22semidirect
290. #540×C71C22semidirect
291. #535×C71C22semidirect
292. #532×C71C22semidirect
293. #529×C71C22semidirect
294. #525×C71C22semidirect
295. C2×#121×C71C22semidirect
296. #520×C71C22semidirect
297. #518×C71C22semidirect
298. C2×#117×C71C22semidirect
302. C2×#11765866C23semidirect
305. C2×#11765865C23semidirect
306. C2×#11765865C23semidirect
307. C2×#11765865C23semidirect
310. C2×#11765864C23semidirect
311. C2×#11765864C23semidirect
312. C2×#11765864C23semidirect
359. #14556128C23semidirect
360. #14556128C23semidirect
361. #14556127C23semidirect
362. #14556127C23semidirect
363. #14556127C23semidirect
364. #14556127C23semidirect
365. #14556127C23semidirect
366. #14556127C23semidirect
367. #14556126C23semidirect
368. #14556126C23semidirect
369. #14556125C23semidirect
370. #14556124C23semidirect
371. #14556124C23semidirect
372. #14556124C23semidirect
373. #14556124C23semidirect
374. #14556123C23semidirect
375. #14556123C23semidirect
376. #14556123C23semidirect
377. #14556123C23semidirect
378. #14556123C23semidirect
379. #14556123C23semidirect
380. #14556122C23semidirect
381. #14556122C23semidirect
382. #14556121C23semidirect
383. #14556121C23semidirect
384. #14556121C23semidirect
385. #14556121C23semidirect
386. #14556121C23semidirect
387. #14556121C23semidirect
388. #14556120C23semidirect
389. #14556120C23semidirect
390. #14556119C23semidirect
391. #14556119C23semidirect
392. #14556119C23semidirect
393. #14556119C23semidirect
394. #14556118C23semidirect
395. #14556118C23semidirect
396. #14556118C23semidirect
397. #14556118C23semidirect
398. #14556117C23semidirect
399. #14556117C23semidirect
400. #14556117C23semidirect
401. #14556116C23semidirect
402. #14556116C23semidirect
403. #14556116C23semidirect
404. #14556115C23semidirect
405. #14556115C23semidirect
406. #14556115C23semidirect
407. #14556114C23semidirect
408. #14556114C23semidirect
409. #14556114C23semidirect
410. #14556114C23semidirect
411. #14556114C23semidirect
412. #14556114C23semidirect
413. #14556114C23semidirect
414. #14556114C23semidirect
415. #14556114C23semidirect
416. #14556114C23semidirect
419. #14556113C23semidirect
420. #14556113C23semidirect
421. #14556113C23semidirect
422. #14556113C23semidirect
423. #14556113C23semidirect
424. #14556113C23semidirect
425. #14556113C23semidirect
426. #14556113C23semidirect
428. #14556112C23semidirect
429. #14556112C23semidirect
430. #14556112C23semidirect
431. #14556112C23semidirect
433. #14556111C23semidirect
434. #14556111C23semidirect
435. #14556111C23semidirect
436. #14556111C23semidirect
439. #14556110C23semidirect
440. #14556110C23semidirect
441. #14556110C23semidirect
442. #14556110C23semidirect
443. #14556110C23semidirect
444. #14556110C23semidirect
445. #14556110C23semidirect
446. #14556110C23semidirect
448. #14556109C23semidirect
449. #14556109C23semidirect
450. #14556109C23semidirect
451. #14556109C23semidirect
453. #14556108C23semidirect
454. #14556108C23semidirect
455. #14556108C23semidirect
457. #14556107C23semidirect
458. #14556107C23semidirect
459. #14556107C23semidirect
462. #14556106C23semidirect
463. #14556106C23semidirect
464. #14556106C23semidirect
465. #14556106C23semidirect
468. #14556105C23semidirect
469. #14556105C23semidirect
470. #14556105C23semidirect
471. #14556105C23semidirect
473. #14556104C23semidirect
474. #14556104C23semidirect
475. #14556104C23semidirect
480. #14556103C23semidirect
481. #14556103C23semidirect
482. #14556103C23semidirect
483. #14556103C23semidirect
484. #14556103C23semidirect
485. #14556103C23semidirect
486. #14556103C23semidirect
491. #14556102C23semidirect
492. #14556102C23semidirect
493. #14556102C23semidirect
494. #14556102C23semidirect
495. #14556102C23semidirect
496. #14556102C23semidirect
497. #14556102C23semidirect
502. #14556101C23semidirect
503. #14556101C23semidirect
504. #14556101C23semidirect
505. #14556101C23semidirect
506. #14556101C23semidirect
507. #14556101C23semidirect
508. #14556101C23semidirect
509. #14556101C23semidirect
510. #14556101C23semidirect
511. #14556101C23semidirect
516. #14556100C23semidirect
517. #14556100C23semidirect
518. #14556100C23semidirect
519. #14556100C23semidirect
520. #14556100C23semidirect
521. #14556100C23semidirect
522. #14556100C23semidirect
523. #14556100C23semidirect
524. #14556100C23semidirect
525. #14556100C23semidirect
530. #14556099C23semidirect
531. #14556099C23semidirect
532. #14556099C23semidirect
533. #14556099C23semidirect
534. #14556099C23semidirect
535. #14556099C23semidirect
536. #14556099C23semidirect
551. Q8×Dic71C23semidirect
552. C4×Dic142C23semidirect
553. C4×Dic142C23semidirect
554. #14556093C23semidirect
555. #14556093C23semidirect
557. C4×D284C23semidirect
558. C4×D284C23semidirect
559. C4×D284C23semidirect
560. C4×D284C23semidirect
561. C4×D284C23semidirect
562. C4×D284C23semidirect
563. C4×D284C23semidirect
564. C4×D284C23semidirect
565. C4×D284C23semidirect
567. D4×Dic71C23semidirect
568. D4×Dic71C23semidirect
569. D4×Dic71C23semidirect
570. D4×Dic71C23semidirect
571. D4×Dic71C23semidirect
572. D4×Dic71C23semidirect
573. D4×Dic71C23semidirect
574. D4×Dic71C23semidirect
575. D4×Dic71C23semidirect
577. #14556090C23semidirect
578. #14556090C23semidirect
579. #14556090C23semidirect
580. #14556090C23semidirect
581. #14556090C23semidirect
582. #14556090C23semidirect
583. #14556090C23semidirect
584. #14556090C23semidirect
585. #14556090C23semidirect
588. C4×C22⋊D71C23semidirect
589. C4×C22⋊D71C23semidirect
590. C4×C22⋊D71C23semidirect
591. C4×C22⋊D71C23semidirect
592. C4×C22⋊D71C23semidirect
593. C4×C22⋊D71C23semidirect
594. C4×C22⋊D71C23semidirect
595. C4×C22⋊D71C23semidirect
596. C4×C22⋊D71C23semidirect
597. C4×C22⋊D71C23semidirect
598. C4×C22⋊D71C23semidirect
599. C4×C22⋊D71C23semidirect
600. C4×C22⋊D71C23semidirect
603. (C22⋊D71)⋊C4C23semidirect
604. (C22⋊D71)⋊C4C23semidirect
605. (C22⋊D71)⋊C4C23semidirect
606. (C22⋊D71)⋊C4C23semidirect
607. (C22⋊D71)⋊C4C23semidirect
608. (C22⋊D71)⋊C4C23semidirect
609. (C22⋊D71)⋊C4C23semidirect
610. (C22⋊D71)⋊C4C23semidirect
611. (C22⋊D71)⋊C4C23semidirect
612. (C22⋊D71)⋊C4C23semidirect
613. (C22⋊D71)⋊C4C23semidirect
614. (C22⋊D71)⋊C4C23semidirect
615. (C22⋊D71)⋊C4C23semidirect
620. #14556087C23semidirect
621. #14556087C23semidirect
622. #14556087C23semidirect
623. #14556087C23semidirect
624. #14556087C23semidirect
633. #14556086C23semidirect
634. #14556086C23semidirect
635. #14556086C23semidirect
636. #14556086C23semidirect
637. #14556086C23semidirect
638. #14556086C23semidirect
639. #14556086C23semidirect
640. #14556086C23semidirect
641. #14556086C23semidirect
642. #14556086C23semidirect
648. #14556085C23semidirect
649. #14556085C23semidirect
650. #14556085C23semidirect
651. #14556085C23semidirect
652. #14556085C23semidirect
653. #14556085C23semidirect
654. #14556085C23semidirect
660. #14556084C23semidirect
661. #14556084C23semidirect
662. #14556084C23semidirect
663. #14556084C23semidirect
664. #14556084C23semidirect
665. #14556084C23semidirect
666. #14556084C23semidirect
668. C2×C4⋊Dic71C23semidirect
669. C2×C4⋊Dic71C23semidirect
670. C2×C4⋊Dic71C23semidirect
672. C2×Dic71⋊C4C23semidirect
673. C2×Dic71⋊C4C23semidirect
674. C2×Dic71⋊C4C23semidirect
693. C4⋊C4×D71C23semidirect
694. C4⋊C4×D71C23semidirect
695. C4⋊C4×D71C23semidirect
696. C4⋊C4×D71C23semidirect
697. C4⋊C4×D71C23semidirect
698. C4⋊C4×D71C23semidirect
699. C4⋊C4×D71C23semidirect
700. C4⋊C4×D71C23semidirect
701. C4⋊C4×D71C23semidirect
737. C2×C4×Dic71C23semidirect
738. C2×C4×Dic71C23semidirect
739. C2×C4×Dic71C23semidirect
746. C42×D71C23semidirect
747. C42×D71C23semidirect
748. C42×D71C23semidirect
749. C42×D71C23semidirect
751. C2×#41×C71C23semidirect
755. C4⋊Q8×C71C23semidirect
756. C4⋊Q8×C71C23semidirect
757. #127×C71C23semidirect
758. #126×C71C23semidirect
759. #126×C71C23semidirect
760. #125×C71C23semidirect
761. #125×C71C23semidirect
762. #124×C71C23semidirect
763. #124×C71C23semidirect
764. #124×C71C23semidirect
766. #123×C71C23semidirect
767. #123×C71C23semidirect
768. #123×C71C23semidirect
769. #123×C71C23semidirect
771. C22⋊Q8×C71C23semidirect
772. C22⋊Q8×C71C23semidirect
773. C22⋊Q8×C71C23semidirect
778. #121×C71C23semidirect
779. #121×C71C23semidirect
780. #121×C71C23semidirect
781. #121×C71C23semidirect
782. #121×C71C23semidirect
783. #121×C71C23semidirect
784. #121×C71C23semidirect
787. C4×Q8×C71C23semidirect
789. C4×D4×C71C23semidirect
790. C4×D4×C71C23semidirect
791. C4×D4×C71C23semidirect
792. C4×D4×C71C23semidirect
793. C4×D4×C71C23semidirect
794. C4×D4×C71C23semidirect
795. C4×D4×C71C23semidirect
796. C4×D4×C71C23semidirect
797. C4×D4×C71C23semidirect
802. #117×C71C23semidirect
803. #117×C71C23semidirect
804. #117×C71C23semidirect
805. #117×C71C23semidirect
806. #117×C71C23semidirect
808. C2×C4⋊C4×C71C23semidirect
809. C2×C4⋊C4×C71C23semidirect
810. C2×C4⋊C4×C71C23semidirect
814. C2×C42×C71C23semidirect
928. C2×C4×D71#41semidirect
1215. C2×C4×C71C2×#41semidirect
1257. C2×Dic71C2×#41semidirect
1315. C4×D71C2×#41semidirect
1316. C4×D71C2×#41semidirect
1406. D71#3494direct (N × H)
1424. #3494D71direct (N × H)
1442. C71C2×#3494semidirect
1459. #555C2×D71semidirect
1482. #553C2×D71semidirect
1483. #553C2×D71semidirect
1499. #551C2×D71semidirect
1511. #547C2×D71semidirect
1527. #546C2×D71semidirect
1536. #544C2×D71semidirect
1548. #542C2×D71semidirect
1560. #540C2×D71semidirect
1569. #535C2×D71semidirect
1581. #532C2×D71semidirect
1596. #529C2×D71semidirect
1615. #525C2×D71semidirect
1645. C2×#121C2×D71semidirect
1656. #520C2×D71semidirect
1665. #518C2×D71semidirect
1697. C2×#117C2×D71semidirect
1723. C2×#41C22×D71semidirect
1781. C4⋊Q8C22×D71semidirect
1782. C4⋊Q8C22×D71semidirect
1788. #127C22×D71semidirect
1803. #126C22×D71semidirect
1804. #126C22×D71semidirect
1815. #125C22×D71semidirect
1816. #125C22×D71semidirect
1836. #124C22×D71semidirect
1837. #124C22×D71semidirect
1838. #124C22×D71semidirect
1875. #123C22×D71semidirect
1876. #123C22×D71semidirect
1877. #123C22×D71semidirect
1878. #123C22×D71semidirect
1904. C22⋊Q8C22×D71semidirect
1905. C22⋊Q8C22×D71semidirect
1906. C22⋊Q8C22×D71semidirect
1972. #121C22×D71semidirect
1973. #121C22×D71semidirect
1974. #121C22×D71semidirect
1975. #121C22×D71semidirect
1976. #121C22×D71semidirect
1977. #121C22×D71semidirect
1978. #121C22×D71semidirect
2000. C4×Q8C22×D71semidirect
2062. C4×D4C22×D71semidirect
2063. C4×D4C22×D71semidirect
2064. C4×D4C22×D71semidirect
2065. C4×D4C22×D71semidirect
2066. C4×D4C22×D71semidirect
2067. C4×D4C22×D71semidirect
2068. C4×D4C22×D71semidirect
2069. C4×D4C22×D71semidirect
2070. C4×D4C22×D71semidirect
2126. #117C22×D71semidirect
2127. #117C22×D71semidirect
2128. #117C22×D71semidirect
2129. #117C22×D71semidirect
2130. #117C22×D71semidirect
2167. C2×C4⋊C4C22×D71semidirect
2168. C2×C4⋊C4C22×D71semidirect
2169. C2×C4⋊C4C22×D71semidirect
2221. C2×C42C22×D71semidirect
2716. C2×C4#41×D71semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#226020782
#226020772
#226020762
#226020752
#226020742
#226020732
#226020722
#226020712
#226020702
#226020692
#226020682
#226020672
#226020662
#226020652
#226020642
#226020632
#226020622
#555×D712
#553×D712
#551×D712
#547×D712
#546×D712
#544×D712
#542×D712
#540×D712
#535×D712
#532×D712
#529×D712
#525×D712
C2×#121×D712
#520×D712
#518×D712
C2×#117×D712
C71×#34942
C2×#349471