Finite Group Databasebeta

← #3475×D71 #32904475

Subgroups — #3475×D71 #32904475

Order 18176.

7954 conjugacy classes of subgroups.

The subgroup lattice has 2726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22601907C211yesmaximal, characteristic, complemented
2#22601906C211yesmaximal, characteristic, complemented
3#22601905C212yesmaximal, complemented
4#22601904C211yesmaximal, characteristic, complemented
5#22601903C211yesmaximal, characteristic, complemented
6#22601902C212yesmaximal, complemented
7#22601901C211yesmaximal, characteristic, complemented
8#22601900C212yesmaximal, complemented
9#22601899C212yesmaximal, complemented
10#22601898C211yesmaximal, characteristic, complemented
11#22601897C211yesmaximal, characteristic, complemented
12#22601896C212yesmaximal, complemented
13#22601895C214yesmaximal, complemented
14#22601894C212yesmaximal, complemented
15#22601893C212yesmaximal, complemented
16#22601892C214yesmaximal, complemented
17#22601891C212yesmaximal, complemented
18#556×D71C211yesmaximal, characteristic, complemented
19#555×D71C211yesmaximal, characteristic, complemented
20#554×D71C211yesmaximal, characteristic, complemented
21#553×D71C212yesmaximal, complemented
22#552×D71C212yesmaximal, complemented
23#552×D71C212yesmaximal, complemented
24#551×D71C214yesmaximal, complemented
25#547×D71C211yesmaximal, characteristic, complemented
26#546×D71C212yesmaximal, complemented
27#533×D71C211yesmaximal, characteristic, complemented
28#529×D71C214yesmaximal, complemented
29#529×D71C212yesmaximal, complemented
30#525×D71C212yesmaximal, complemented
31C4×#41×D71C211yesmaximal, characteristic, complemented
32C4×#41×D71C212yesmaximal, complemented
33C2×C4×D4×D71C211yesmaximal, characteristic, complemented
34C2×#117×D71C212yesmaximal, complemented
35C71×#3475C211yesmaximal, characteristic, complemented
36C2×#41×D71C2212yes—
37C2×#41×D71C2211yescharacteristic
38C22×D4×D71C2211yescharacteristic
39C23×C4×D71C2212yes—
40#17986723C2211yescharacteristic, complemented
41#17986722C2211yescharacteristic, complemented
42#17986721C2212yescomplemented
43#17986720C2212yescomplemented
44#17986719C2211yescharacteristic, complemented
45#17986718C2212yescomplemented
46#17986717C2212yescomplemented
47#17986716C2214yescomplemented
48#17986715C2211yescharacteristic, complemented
49#17986714C2211yescharacteristic, complemented
50#17986714C2211yescharacteristic, complemented
51#17986713C2212yescomplemented
52#17986713C2212yescomplemented
53#17986712C2212yescomplemented
54#17986712C2212yescomplemented
55#17986711C2214yescomplemented
56#17986710C2211yescharacteristic, complemented
57#17986709C2211yescharacteristic, complemented
58#17986708C2212yescomplemented
59#17986707C2212yescomplemented
60#17986706C2211yescharacteristic, complemented
61#17986705C2212yescomplemented
62#17986704C2212yescomplemented
63#17986703C2214yescomplemented
64#17986702C2212yescomplemented
65#17986701C2212yescomplemented
66#17986700C2214yescomplemented
67#17986699C2212yescomplemented
68#17986698C2214yescomplemented
69#17986697C2212yescomplemented
70#17986696C2212yescomplemented
71#17986695C2212yescomplemented
72#17986694C2214yescomplemented
73#17986693C2212yescomplemented
74#17986692C2214yescomplemented
75#17986691C2212yescomplemented
76#17986691C2212yescomplemented
77#17986690C2212yescomplemented
78#17986690C2212yescomplemented
79#17986689C2212yescomplemented
80#17986689C2212yescomplemented
81#17986688C2212yescomplemented
82#17986688C2212yescomplemented
83#17986687C2212yescomplemented
84#17986687C2212yescomplemented
85#17986686C2214yescomplemented
86#17986686C2214yescomplemented
87#17986685C2214yescomplemented
88#17986685C2214yescomplemented
89#17986684C2212yescomplemented
90#17986684C2212yescomplemented
91#17986683C2212yescomplemented
92#17986683C2212yescomplemented
93#17986682C2214yescomplemented
94#17986682C2214yescomplemented
95#17986681C2214yescomplemented
96#17986681C2214yescomplemented
97#17986680C2214yescomplemented
98#17986679C2214yescomplemented
99#17986678C2214yescomplemented
100#17986678C2214yescomplemented
101#17986677C2214yescomplemented
102#17986676C2214yescomplemented
103#17986676C2214yescomplemented
104#17986675C2214yescomplemented
105#17986675C2214yescomplemented
106#17986674C2214yescomplemented
107#17986674C2214yescomplemented
108#17986673C2214yescomplemented
109#17986673C2214yescomplemented
110#17986672C2214yescomplemented
111#17986672C2214yescomplemented
112#17986654C2211yescharacteristic, complemented
113#17986653C2211yescharacteristic, complemented
114#17986652C2211yescharacteristic, complemented
115#17986651C2212yescomplemented
116#17986650C2212yescomplemented
117#17986649C2212yescomplemented
118#17986648C2212yescomplemented
119#17986647C2214yescomplemented
120#17986646C2212yescomplemented
121#17986645C2212yescomplemented
122#17986644C2212yescomplemented
123#17986643C2212yescomplemented
124#17986642C2212yescomplemented
125#17986641C2214yescomplemented
126#17986640C2212yescomplemented
127#17986639C2214yescomplemented
128#17986638C2214yescomplemented
129#17986637C2212yescomplemented
130#17986636C2214yescomplemented
131#17986556C2211yescharacteristic, complemented
132#17986555C2212yescomplemented
133#17986554C2211yescharacteristic, complemented
134#17986554C2211yescharacteristic, complemented
135#17986553C2212yescomplemented
136#17986553C2212yescomplemented
137#17986552C2212yescomplemented
138#17986551C2212yescomplemented
139#17986551C2212yescomplemented
140C4⋊Q8×D71C2211yescharacteristic, complemented
141C4⋊Q8×D71C2211yescharacteristic, complemented
142#17986536C2214yescomplemented
143#17986536C2212yescomplemented
144#17986535C2214yescomplemented
145#17986535C2212yescomplemented
146#17986534C2214yescomplemented
147#17986534C2212yescomplemented
148#17986533C2214yescomplemented
149#17986533C2212yescomplemented
150#17986532C2214yescomplemented
151#17986532C2214yescomplemented
152#17986532C2214yescomplemented
153#17986531C2212yescomplemented
154#17986531C2214yescomplemented
155#17986530C2214yescomplemented
156#17986530C2212yescomplemented
157#17986529C2214yescomplemented
158#17986529C2214yescomplemented
159#17986529C2214yescomplemented
160#17986528C2212yescomplemented
161#17986528C2214yescomplemented
162#17986527C2214yescomplemented
163#17986527C2214yescomplemented
164#17986527C2214yescomplemented
165#17986526C2214yescomplemented
166#17986526C2214yescomplemented
167#17986526C2214yescomplemented
168#126×D71C2214yescomplemented
169#126×D71C2214yescomplemented
170#126×D71C2214yescomplemented
171#125×D71C2214yescomplemented
172#125×D71C2212yescomplemented
173#125×D71C2212yescomplemented
174#124×D71C2212yes—
175#124×D71C2214yescomplemented
176#17986512C2212yescomplemented
177#17986512C2212yescomplemented
178#17986511C2212yescomplemented
179#17986510C2212yescomplemented
180#17986509C2212yescomplemented
181#17986509C2212yescomplemented
182#17986508C2214yescomplemented
183#17986508C2214yescomplemented
184#17986507C2214yescomplemented
185#17986506C2212yescomplemented
186#17986505C2214yescomplemented
187#123×D71C2214yes—
188#123×D71C2214yes—
189#123×D71C2214yescomplemented
190#123×D71C2214yescomplemented
191C22⋊Q8×D71C2212yes—
192C22⋊Q8×D71C2212yes—
193C22⋊Q8×D71C2212yescomplemented
194C22⋊Q8×D71C2212yescomplemented
195C22⋊Q8×D71C2212yescomplemented
196C22⋊Q8×D71C2214yescomplemented
197#121×D71C2214yes—
198#121×D71C2212yes—
199#121×D71C2212yescomplemented
200#121×D71C2212yescomplemented
201#120×D71C2214yes—
202#41×Dic71C2211yescharacteristic, complemented
203#41×Dic71C2212yescomplemented
204C4×#11765866C2211yescharacteristic, complemented
205C4×#11765866C2211yescharacteristic, complemented
206C4×#11765866C2212yescomplemented
207C4×#11765866C2212yescomplemented
208C4×#11765865C2211yescharacteristic, complemented
209C4×#11765865C2212yescomplemented
210C4×#11765865C2214yescomplemented
211C4×#11765865C2212yescomplemented
212#17986467C2211yescharacteristic, complemented
213#17986467C2212yescomplemented
214#17986467C2214yescomplemented
215#17986467C2212yescomplemented
216C4×#11765864C2212yescomplemented
217C4×#11765864C2212yescomplemented
218C4×#11765864C2212yescomplemented
219C4×#11765864C2212yescomplemented
220C4×#11765864C2211yescharacteristic, complemented
221C4×#11765864C2211yescharacteristic, complemented
222C4×#11765864C2214yescomplemented
223C4×#11765864C2214yescomplemented
224C4×Q8×D71C2211yescharacteristic, complemented
225C4×Q8×D71C2212yescomplemented
226C4×Q8×D71C2212yescomplemented
227C4×Q8×D71C2211yescharacteristic, complemented
228C4×Q8×D71C2212yescomplemented
229C2×C4×D284C2211yescharacteristic, complemented
230C2×D4×Dic71C2211yescharacteristic, complemented
231C2×#14556090C2211yescharacteristic, complemented
232C2×C4×C22⋊D71C2212yescomplemented
233C2×(C22⋊D71)⋊C4C2212yescomplemented
234C4×D4×D71C2211yescharacteristic
235C4×D4×D71C2211yescharacteristic
236C4×D4×D71C2212yes—
237C4×D4×D71C2212yes—
238C4×D4×D71C2211yescharacteristic
239C4×D4×D71C2211yescharacteristic
240C4×D4×D71C2212yes—
241C4×D4×D71C2212yes—
242C4×D4×D71C2212yes—
243C4×D4×D71C2212yescomplemented
244C4×D4×D71C2212yescomplemented
245C4×D4×D71C2211yescharacteristic, complemented
246C4×D4×D71C2211yescharacteristic, complemented
247C4×D4×D71C2211yescharacteristic, complemented
248C4×D4×D71C2211yescharacteristic, complemented
249C4×D4×D71C2211yescharacteristic, complemented
250C4×D4×D71C2214yescomplemented
251C4×D4×D71C2214yescomplemented
252C4×D4×D71C2211yescharacteristic, complemented
253C4×D4×D71C2214yescomplemented
254C2×#14556087C2212yescomplemented
255C2×#14556086C2212yescomplemented
256C2×#14556086C2212yescomplemented
257C2×#14556085C2214yescomplemented
258C2×#14556084C2214yescomplemented
259#117×D71C2211yescharacteristic
260#117×D71C2212yes—
261#117×D71C2214yes—
262#117×D71C2212yescomplemented
263#117×D71C2214yescomplemented
264#117×D71C2212yescomplemented
265#117×D71C2212yescomplemented
266#117×D71C2214yescomplemented
267#117×D71C2212yescomplemented
268#117×D71C2214yescomplemented
269#117×D71C2212yescomplemented
270#117×D71C2212yescomplemented
271#117×D71C2214yescomplemented
272#117×D71C2212yescomplemented
273#117×D71C2212yescomplemented
274C2×C4⋊C4×D71C2211yescharacteristic
275C2×C4⋊C4×D71C2212yescomplemented
276C2×C4⋊C4×D71C2212yescomplemented
277C2×C22⋊C4×D71C2214yes—
278C2×C22⋊C4×D71C2212yes—
279C2×C42×D71C2211yescharacteristic
280C2×C42×D71C2214yescomplemented
281C2×C42×D71C2212yescomplemented
282#556×C71C2211yescharacteristic, complemented
283#555×C71C2211yescharacteristic, complemented
284#554×C71C2211yescharacteristic, complemented
285#553×C71C2212yescomplemented
286#552×C71C2212yescomplemented
287#552×C71C2212yescomplemented
288#551×C71C2214yescomplemented
289#547×C71C2211yescharacteristic, complemented
290#546×C71C2212yescomplemented
291#533×C71C2211yescharacteristic, complemented
292#529×C71C2214yescomplemented
293#529×C71C2212yescomplemented
294#525×C71C2212yescomplemented
295C4×#41×C71C2211yescharacteristic, complemented
296C4×#41×C71C2212yescomplemented
297C2×C4×D4×C71C2211yescharacteristic, complemented
298C2×#117×C71C2212yescomplemented
299C24×D71C2312yes—
300C2×#11765866C2312yes—
301C2×#11765866C2311yescharacteristic
302C2×#11765865C2314yes—
303C2×#11765865C2312yes—
304C2×#11765865C2312yes—
305C2×#11765865C2311yescharacteristic
306C2×#11765864C2314yes—
307C2×#11765864C2312yes—
308C2×#11765864C2312yes—
309C2×#11765864C2311yescharacteristic
310#41×D71—216no—
311#41×D71—28no—
312C2×Q8×D71C2312yes—
313C2×Q8×D71C2311yescharacteristic
314C2×Q8×D71C2312yes—
315C22×D284C2311yescharacteristic
316C22×C22⋊D71C2312yes—
317C2×D4×D71—28no—
318C2×D4×D71C2311yescharacteristic
319C2×D4×D71C2312yes—
320C2×D4×D71C2311yescharacteristic
321C2×D4×D71C2312yes—
322C2×D4×D71C2311yescharacteristic
323C2×D4×D71C2312yes—
324C2×D4×D71C2314yes—
325C2×D4×D71C2311yescharacteristic
326C2×D4×D71C2314yes—
327C2×D4×D71C2311yescharacteristic
328C23×Dic71C2312yes—
329C22×C4×D71—216no—
330C22×C4×D71C2312yes—
331C22×C4×D71C2312yes—
332C22×C4×D71C2312yes—
333C22×C4×D71C2312yes—
334C22×C4×D71C2312yes—
335C22×C4×D71C2312yes—
336C22×C4×D71C2312yes—
337C22×C4×D71C2312yes—
338C22×C4×D71C2312yes—
339C22×C4×D71C2312yes—
340C22×C4×D71C2312yes—
341C22×C4×D71C2311yescharacteristic
342C22×C4×D71C2314yes—
343C22×C4×D71C2312yes—
344C22×C4×D71C2312yes—
345C22×C4×D71C2311yescharacteristic
346C22×C4×D71C2314yes—
347C22×C4×D71C2312yes—
348C22×C4×D71C2311yescharacteristic
349#14556128C2311yescharacteristic, complemented
350#14556128C2311yescharacteristic, complemented
351#14556127C2312yescomplemented
352#14556127C2312yescomplemented
353#14556127C2312yescomplemented
354#14556127C2312yescomplemented
355#14556126C2312yescomplemented
356#14556126C2312yescomplemented
357#14556123C2314yescomplemented
358#14556123C2314yescomplemented
359#14556123C2314yescomplemented
360#14556123C2314yescomplemented
361#14556123C2314yescomplemented
362#14556123C2314yescomplemented
363#14556123C2314yescomplemented
364#14556123C2314yescomplemented
365#14556123C2314yescomplemented
366#14556122C2314yescomplemented
367#14556122C2314yescomplemented
368#14556122C2314yescomplemented
369#14556121C2314yescomplemented
370#14556121C2314yescomplemented
371#14556121C2314yescomplemented
372#14556121C2314yescomplemented
373#14556121C2314yescomplemented
374#14556121C2314yescomplemented
375#14556121C2314yescomplemented
376#14556121C2314yescomplemented
377#14556121C2314yescomplemented
378#14556120C2314yescomplemented
379#14556120C2312yescomplemented
380#14556120C2312yescomplemented
381#14556119C2312yescomplemented
382#14556119C2312yescomplemented
383#14556119C2314yescomplemented
384#14556119C2314yescomplemented
385#14556119C2312yescomplemented
386#14556119C2312yescomplemented
387#14556118C2314yescomplemented
388#14556118C2314yescomplemented
389#14556118C2314yescomplemented
390#14556118C2314yescomplemented
391#14556118C2314yescomplemented
392#14556118C2314yescomplemented
393#14556118C2314yescomplemented
394#14556118C2314yescomplemented
395#14556117C2312yes—
396#14556117C2314yescomplemented
397#14556116C2312yes—
398#14556116C2314yescomplemented
399#14556115C2312yes—
400#14556115C2314yescomplemented
401#14556114C2314yes—
402#14556114C2314yes—
403#14556114C2314yescomplemented
404#14556114C2314yescomplemented
405#14556114C2314yescomplemented
406#14556114C2314yescomplemented
407#14556113C2314yes—
408#14556113C2314yes—
409#14556113C2314yes—
410#14556113C2314yes—
411#14556113C2314yescomplemented
412#14556113C2314yescomplemented
413#14556113C2314yescomplemented
414#14556113C2314yescomplemented
415#14556112C2314yes—
416#14556112C2314yes—
417#14556112C2314yescomplemented
418#14556112C2314yescomplemented
419#14556111C2314yes—
420#14556111C2314yes—
421#14556111C2314yescomplemented
422#14556111C2314yescomplemented
423#14556110C2314yes—
424#14556110C2314yes—
425#14556110C2314yes—
426#14556110C2314yes—
427#14556110C2314yescomplemented
428#14556110C2314yescomplemented
429#14556110C2314yescomplemented
430#14556110C2314yescomplemented
431#14556109C2314yes—
432#14556109C2314yes—
433#14556109C2314yescomplemented
434#14556109C2314yescomplemented
435#14556108C2312yes—
436#14556108C2312yes—
437#14556108C2312yescomplemented
438#14556108C2314yescomplemented
439#14556108C2312yescomplemented
440#14556108C2312yescomplemented
441#14556107C2312yes—
442#14556107C2312yes—
443#14556107C2312yescomplemented
444#14556107C2314yescomplemented
445#14556107C2312yescomplemented
446#14556107C2312yescomplemented
447#14556106C2314yes—
448#14556106C2314yes—
449#14556106C2314yescomplemented
450#14556106C2314yescomplemented
451#14556106C2314yescomplemented
452#14556106C2314yescomplemented
453#14556106C2314yescomplemented
454#14556105C2314yes—
455#14556105C2314yes—
456#14556105C2314yescomplemented
457#14556105C2314yescomplemented
458#14556105C2314yescomplemented
459#14556105C2314yescomplemented
460#14556105C2314yescomplemented
461#14556104C2312yes—
462#14556104C2312yes—
463#14556104C2312yescomplemented
464#14556104C2314yescomplemented
465#14556104C2312yescomplemented
466#14556104C2312yescomplemented
467#14556103C2314yes—
468#14556103C2312yes—
469#14556103C2312yescomplemented
470#14556103C2312yescomplemented
471#14556102C2312yes—
472#14556102C2314yes—
473#14556102C2312yescomplemented
474#14556102C2312yescomplemented
475#14556101C2314yes—
476#14556101C2314yes—
477#14556101C2314yes—
478#14556101C2314yescomplemented
479#14556101C2314yescomplemented
480#14556100C2314yes—
481#14556100C2314yes—
482#14556100C2314yes—
483#14556100C2314yescomplemented
484#14556100C2314yescomplemented
485#14556099C2314yes—
486#14556099C2312yes—
487#14556099C2312yescomplemented
488#14556099C2312yescomplemented
489#14556098C2314yes—
490#14556098C2314yes—
491#14556098C2314yes—
492#14556097C2314yes—
493#14556096C2314yes—
494#14556096C2314yes—
495#14556096C2314yes—
496Q8×Dic71C2311yescharacteristic, complemented
497Q8×Dic71C2312yescomplemented
498Q8×Dic71C2311yescharacteristic, complemented
499Q8×Dic71C2312yescomplemented
500Q8×Dic71C2312yescomplemented
501C4×Dic142C2312yescomplemented
502C4×Dic142C2314yescomplemented
503C4×Dic142C2311yescharacteristic, complemented
504C4×Dic142C2312yescomplemented
505C4×Dic142C2312yescomplemented
506C4×Dic142C2311yescharacteristic, complemented
507C4×Dic142C2314yescomplemented
508C4×Dic142C2312yescomplemented
509C4×Dic142C2312yescomplemented
510C4×Dic142C2314yescomplemented
511#14556093C2312yescomplemented
512#14556093C2314yescomplemented
513#14556093C2311yescharacteristic, complemented
514#14556093C2312yescomplemented
515#14556093C2312yescomplemented
516#14556093C2311yescharacteristic, complemented
517#14556093C2314yescomplemented
518#14556093C2312yescomplemented
519#14556093C2312yescomplemented
520#14556093C2314yescomplemented
521C4×D284C2312yes—
522C4×D284C2312yes—
523C4×D284C2311yescharacteristic
524C4×D284C2312yes—
525C4×D284C2312yes—
526C4×D284C2311yescharacteristic
527C4×D284C2311yescharacteristic
528C4×D284C2312yes—
529C4×D284C2311yescharacteristic
530C4×D284C2311yescharacteristic, complemented
531C4×D284C2314yescomplemented
532C4×D284C2311yescharacteristic, complemented
533C4×D284C2314yescomplemented
534C4×D284C2314yescomplemented
535D4×Dic71C2312yes—
536D4×Dic71C2312yes—
537D4×Dic71C2311yescharacteristic
538D4×Dic71C2312yes—
539D4×Dic71C2312yes—
540D4×Dic71C2311yescharacteristic
541D4×Dic71C2311yescharacteristic
542D4×Dic71C2312yes—
543D4×Dic71C2311yescharacteristic
544D4×Dic71C2311yescharacteristic, complemented
545D4×Dic71C2314yescomplemented
546D4×Dic71C2311yescharacteristic, complemented
547D4×Dic71C2314yescomplemented
548D4×Dic71C2314yescomplemented
549#14556090C2312yes—
550#14556090C2312yes—
551#14556090C2311yescharacteristic
552#14556090C2312yes—
553#14556090C2312yes—
554#14556090C2311yescharacteristic
555#14556090C2311yescharacteristic
556#14556090C2312yes—
557#14556090C2311yescharacteristic
558#14556090C2311yescharacteristic, complemented
559#14556090C2314yescomplemented
560#14556090C2311yescharacteristic, complemented
561#14556090C2314yescomplemented
562#14556090C2314yescomplemented
563C4×C22⋊D71C2312yes—
564C4×C22⋊D71C2314yes—
565C4×C22⋊D71C2312yes—
566C4×C22⋊D71C2312yes—
567C4×C22⋊D71C2312yes—
568C4×C22⋊D71C2312yes—
569C4×C22⋊D71C2312yes—
570C4×C22⋊D71C2312yes—
571C4×C22⋊D71C2312yes—
572C4×C22⋊D71C2312yes—
573C4×C22⋊D71C2312yes—
574C4×C22⋊D71C2312yes—
575C4×C22⋊D71C2312yes—
576C4×C22⋊D71C2312yescomplemented
577C4×C22⋊D71C2314yescomplemented
578C4×C22⋊D71C2314yescomplemented
579C4×C22⋊D71C2312yescomplemented
580C4×C22⋊D71C2314yescomplemented
581C4×C22⋊D71C2314yescomplemented
582C4×C22⋊D71C2314yescomplemented
583C4×C22⋊D71C2314yescomplemented
584(C22⋊D71)⋊C4C2314yes—
585(C22⋊D71)⋊C4C2312yes—
586(C22⋊D71)⋊C4C2312yes—
587(C22⋊D71)⋊C4C2312yes—
588(C22⋊D71)⋊C4C2312yes—
589(C22⋊D71)⋊C4C2312yes—
590(C22⋊D71)⋊C4C2312yes—
591(C22⋊D71)⋊C4C2312yes—
592(C22⋊D71)⋊C4C2312yes—
593(C22⋊D71)⋊C4C2312yes—
594(C22⋊D71)⋊C4C2312yes—
595(C22⋊D71)⋊C4C2312yes—
596(C22⋊D71)⋊C4C2312yes—
597(C22⋊D71)⋊C4C2312yescomplemented
598(C22⋊D71)⋊C4C2314yescomplemented
599(C22⋊D71)⋊C4C2314yescomplemented
600(C22⋊D71)⋊C4C2312yescomplemented
601(C22⋊D71)⋊C4C2314yescomplemented
602(C22⋊D71)⋊C4C2314yescomplemented
603(C22⋊D71)⋊C4C2314yescomplemented
604(C22⋊D71)⋊C4C2314yescomplemented
605#14556087C2314yes—
606#14556087C2311yescharacteristic
607#14556087C2312yes—
608#14556087C2314yescomplemented
609#14556087C2312yescomplemented
610#14556087C2312yescomplemented
611#14556087C2312yescomplemented
612#14556087C2314yescomplemented
613#14556087C2312yescomplemented
614#14556086C2314yes—
615#14556086C2314yes—
616#14556086C2311yescharacteristic
617#14556086C2311yescharacteristic
618#14556086C2312yes—
619#14556086C2312yes—
620#14556086C2314yescomplemented
621#14556086C2314yescomplemented
622#14556086C2312yescomplemented
623#14556086C2312yescomplemented
624#14556086C2312yescomplemented
625#14556086C2312yescomplemented
626#14556086C2312yescomplemented
627#14556086C2312yescomplemented
628#14556086C2314yescomplemented
629#14556086C2314yescomplemented
630#14556086C2312yescomplemented
631#14556086C2312yescomplemented
632#14556085C2314yes—
633#14556085C2314yes—
634#14556085C2312yes—
635#14556085C2314yes—
636#14556085C2314yescomplemented
637#14556085C2314yescomplemented
638#14556085C2314yescomplemented
639#14556085C2314yescomplemented
640#14556085C2314yescomplemented
641#14556085C2314yescomplemented
642#14556085C2314yescomplemented
643#14556085C2312yescomplemented
644#14556085C2312yescomplemented
645#14556084C2314yes—
646#14556084C2314yes—
647#14556084C2312yes—
648#14556084C2314yes—
649#14556084C2314yescomplemented
650#14556084C2314yescomplemented
651#14556084C2314yescomplemented
652#14556084C2314yescomplemented
653#14556084C2314yescomplemented
654#14556084C2314yescomplemented
655#14556084C2314yescomplemented
656#14556084C2312yescomplemented
657#14556084C2312yescomplemented
658C2×C4⋊Dic71C2311yescharacteristic
659C2×C4⋊Dic71C2312yescomplemented
660C2×C4⋊Dic71C2312yescomplemented
661C2×Dic71⋊C4C2312yes—
662C2×Dic71⋊C4C2314yescomplemented
663C2×Dic71⋊C4C2314yescomplemented
664C4⋊C4×D71C2312yes—
665C4⋊C4×D71C2311yescharacteristic
666C4⋊C4×D71C2311yescharacteristic
667C4⋊C4×D71C2311yescharacteristic
668C4⋊C4×D71C2311yescharacteristic
669C4⋊C4×D71C2312yes—
670C4⋊C4×D71C2311yescharacteristic
671C4⋊C4×D71C2311yescharacteristic
672C4⋊C4×D71C2312yes—
673C4⋊C4×D71C2312yes—
674C4⋊C4×D71C2314yes—
675C4⋊C4×D71C2314yes—
676C4⋊C4×D71C2312yes—
677C4⋊C4×D71C2312yes—
678C4⋊C4×D71C2312yes—
679C4⋊C4×D71C2314yes—
680C4⋊C4×D71C2314yes—
681C4⋊C4×D71C2314yes—
682C4⋊C4×D71C2314yes—
683C4⋊C4×D71C2312yes—
684C4⋊C4×D71C2314yescomplemented
685C4⋊C4×D71C2312yescomplemented
686C4⋊C4×D71C2312yescomplemented
687C4⋊C4×D71C2312yescomplemented
688C4⋊C4×D71C2314yescomplemented
689C4⋊C4×D71C2312yescomplemented
690C2×C22⋊Dic71C2314yes—
691C2×C22⋊Dic71C2312yes—
692C2×(C2×D71)⋊C4C2314yes—
693C2×(C2×D71)⋊C4C2314yes—
694C2×(C2×D71)⋊C4C2312yes—
695C2×(C2×D71)⋊C4C2312yes—
696C22⋊C4×D71C2314yes—
697C22⋊C4×D71C2314yes—
698C22⋊C4×D71C2314yes—
699C22⋊C4×D71C2314yes—
700C22⋊C4×D71C2312yes—
701C22⋊C4×D71C2312yes—
702C22⋊C4×D71C2312yes—
703C22⋊C4×D71C2312yes—
704C22⋊C4×D71C2312yes—
705C22⋊C4×D71C2314yes—
706C22⋊C4×D71C2312yes—
707C22⋊C4×D71C2314yes—
708C22⋊C4×D71C2314yes—
709C22⋊C4×D71C2312yes—
710C22⋊C4×D71C2312yes—
711C22⋊C4×D71C2312yes—
712C22⋊C4×D71C2314yes—
713C22⋊C4×D71C2312yes—
714C22⋊C4×D71C2312yes—
715C22⋊C4×D71C2314yes—
716C22⋊C4×D71C2314yes—
717C22⋊C4×D71C2314yes—
718C2×C4×Dic71C2311yescharacteristic
719C2×C4×Dic71C2311yescharacteristic
720C2×C4×Dic71C2311yescharacteristic
721C2×C4×Dic71C2314yescomplemented
722C2×C4×Dic71C2314yescomplemented
723C2×C4×Dic71C2314yescomplemented
724C2×C4×Dic71C2312yescomplemented
725C2×C4×Dic71C2312yescomplemented
726C2×C4×Dic71C2312yescomplemented
727C42×D71C2311yescharacteristic
728C42×D71C2311yescharacteristic
729C42×D71C2311yescharacteristic
730C42×D71C2311yescharacteristic
731C42×D71C2311yescharacteristic
732C42×D71C2311yescharacteristic
733C42×D71C2311yescharacteristic
734C42×D71C2311yescharacteristic
735C42×D71C2312yes—
736C42×D71C2314yes—
737C42×D71C2314yes—
738C42×D71C2314yes—
739C42×D71C2312yes—
740C42×D71C2312yes—
741C42×D71C2314yescomplemented
742C42×D71C2314yescomplemented
743C42×D71C2314yescomplemented
744C42×D71C2314yescomplemented
745C42×D71C2312yescomplemented
746C42×D71C2312yescomplemented
747C42×D71C2312yescomplemented
748C42×D71C2312yescomplemented
749C2×#41×C71C2312yes—
750C2×#41×C71C2311yescharacteristic
751C22×D4×C71C2311yescharacteristic
752C23×C4×C71C2312yes—
753C4⋊Q8×C71C2311yescharacteristic, complemented
754C4⋊Q8×C71C2311yescharacteristic, complemented
755#126×C71C2314yescomplemented
756#126×C71C2314yescomplemented
757#126×C71C2314yescomplemented
758#125×C71C2314yescomplemented
759#125×C71C2312yescomplemented
760#125×C71C2312yescomplemented
761#124×C71C2312yes—
762#124×C71C2314yescomplemented
763#123×C71C2314yes—
764#123×C71C2314yes—
765#123×C71C2314yescomplemented
766#123×C71C2314yescomplemented
767C22⋊Q8×C71C2312yes—
768C22⋊Q8×C71C2312yes—
769C22⋊Q8×C71C2312yescomplemented
770C22⋊Q8×C71C2314yescomplemented
771C22⋊Q8×C71C2312yescomplemented
772C22⋊Q8×C71C2312yescomplemented
773#121×C71C2314yes—
774#121×C71C2312yes—
775#121×C71C2312yescomplemented
776#121×C71C2312yescomplemented
777#120×C71C2314yes—
778C4×Q8×C71C2312yescomplemented
779C4×Q8×C71C2311yescharacteristic, complemented
780C4×Q8×C71C2312yescomplemented
781C4×Q8×C71C2311yescharacteristic, complemented
782C4×Q8×C71C2312yescomplemented
783C4×D4×C71C2312yes—
784C4×D4×C71C2312yes—
785C4×D4×C71C2311yescharacteristic
786C4×D4×C71C2311yescharacteristic
787C4×D4×C71C2312yes—
788C4×D4×C71C2311yescharacteristic
789C4×D4×C71C2312yes—
790C4×D4×C71C2311yescharacteristic
791C4×D4×C71C2312yes—
792C4×D4×C71C2311yescharacteristic, complemented
793C4×D4×C71C2314yescomplemented
794C4×D4×C71C2314yescomplemented
795C4×D4×C71C2311yescharacteristic, complemented
796C4×D4×C71C2314yescomplemented
797#117×C71C2311yescharacteristic
798#117×C71C2314yes—
799#117×C71C2312yes—
800#117×C71C2314yescomplemented
801#117×C71C2312yescomplemented
802#117×C71C2312yescomplemented
803#117×C71C2314yescomplemented
804#117×C71C2312yescomplemented
805#117×C71C2312yescomplemented
806C2×C4⋊C4×C71C2311yescharacteristic
807C2×C4⋊C4×C71C2312yescomplemented
808C2×C4⋊C4×C71C2312yescomplemented
809C2×C22⋊C4×C71C2314yes—
810C2×C22⋊C4×C71C2312yes—
811C2×C42×C71C2311yescharacteristic
812C2×C42×C71C2314yescomplemented
813C2×C42×C71C2312yescomplemented
814C23×D71—28no—
815C23×D71—28no—
816C23×D71—44no—
817C23×D71C2412yes—
818C23×D71C2412yes—
819C23×D71C2412yes—
820C23×D71C2412yes—
821C23×D71C2412yes—
822C23×D71C2412yes—
823C23×D71C2411yescharacteristic
824#11765866—28no—
825#11765866—24no—
826#11765865—24no—
827#11765865—216no—
828#11765865—28no—
829#11765865—28no—
830#11765864—28no—
831#11765864—216no—
832#11765864—28no—
833#11765864—24no—
834C2×Dic142C2414yes—
835C2×Dic142C2412yes—
836C2×Dic142C2412yes—
837C2×Dic142C2411yescharacteristic
838C2×Dic142C2414yes—
839C2×Dic142C2412yes—
840Q8×D71—24no—
841Q8×D71—28no—
842Q8×D71—44no—
843C2×D284—24no—
844C2×D284C2412yes—
845C2×D284C2411yescharacteristic
846C2×D284C2412yes—
847C2×D284C2414yes—
848C2×D284C2411yescharacteristic
849C2×D284C2414yes—
850C2×D284C2411yescharacteristic
851C2×C22⋊D71—28no—
852C2×C22⋊D71C2412yes—
853C2×C22⋊D71C2412yes—
854C2×C22⋊D71C2412yes—
855C2×C22⋊D71C2412yes—
856C2×C22⋊D71C2412yes—
857C2×C22⋊D71C2414yes—
858C2×C22⋊D71C2414yes—
859C2×C22⋊D71C2412yes—
860C2×C22⋊D71C2414yes—
861C2×C22⋊D71C2414yes—
862C2×C22⋊D71C2412yes—
863D4×D71—28no—
864D4×D71—28no—
865D4×D71—216no—
866D4×D71—24no—
867D4×D71—28no—
868D4×D71—24no—
869D4×D71—24no—
870D4×D71—24no—
871D4×D71—48no—
872D4×D71#4118yescomplemented
873C22×Dic71—28no—
874C22×Dic71C2412yes—
875C22×Dic71C2412yes—
876C22×Dic71C2412yes—
877C22×Dic71C2412yes—
878C22×Dic71C2412yes—
879C22×Dic71C2411yescharacteristic
880C22×Dic71C2414yes—
881C22×Dic71C2412yes—
882C22×Dic71C2412yes—
883C22×Dic71C2411yescharacteristic
884C22×Dic71C2414yes—
885C22×Dic71C2412yes—
886C22×Dic71C2411yescharacteristic
887C2×C4×D71—28no—
888C2×C4×D71—216no—
889C2×C4×D71—28no—
890C2×C4×D71—28no—
891C2×C4×D71—28no—
892C2×C4×D71—28no—
893C2×C4×D71—28no—
894C2×C4×D71—28no—
895C2×C4×D71—24no—
896C2×C4×D71—28no—
897C2×C4×D71—28no—
898C2×C4×D71—28no—
899C2×C4×D71—28no—
900C2×C4×D71—28no—
901C2×C4×D71—28no—
902C2×C4×D71—44no—
903C2×C4×D71—48no—
904C2×C4×D71—42no—
905C2×C4×D71#4118yescomplemented
906C2×C4×D71C2412yes—
907C2×C4×D71C2412yes—
908C2×C4×D71C2411yescharacteristic
909C2×C4×D71C2412yes—
910C2×C4×D71C2412yes—
911C2×C4×D71C2412yes—
912C2×C4×D71C2412yes—
913C2×C4×D71C2412yes—
914C2×C4×D71C2412yes—
915C2×C4×D71C2412yes—
916C2×C4×D71C2412yes—
917C2×C4×D71C2412yes—
918C2×C4×D71C2412yes—
919C2×C4×D71C2412yes—
920C2×C4×D71C2412yes—
921C2×C4×D71C2411yescharacteristic
922C2×C4×D71C2411yescharacteristic
923C2×C4×D71C2411yescharacteristic
924C2×C4×D71C2414yes—
925C2×C4×D71C2412yes—
926C2×C4×D71C2414yes—
927C2×C4×D71C2411yescharacteristic
928C2×C4×D71C2414yes—
929C2×C4×D71C2412yes—
930C2×C4×D71C2412yes—
931C2×C4×D71C2414yes—
932C2×C4×D71C2412yes—
933C2×C4×D71C2412yes—
934C2×C4×D71C2411yescharacteristic
935C2×C4×D71C2411yescharacteristic
936C2×C4×D71C2414yes—
937C2×C4×D71C2414yes—
938C2×C4×D71C2412yes—
939C2×C4×D71C2412yes—
940C2×C4×D71C2411yescharacteristic
941C2×C4×D71C2411yescharacteristic
942C2×C4×D71C2411yescharacteristic
943C2×C4×D71C2411yescharacteristic
944C2×C4×D71C2411yescharacteristic
945C4⋊Dic71C2411yescharacteristic
946C4⋊Dic71C2411yescharacteristic
947C4⋊Dic71C2412yes—
948C4⋊Dic71C2411yescharacteristic
949C4⋊Dic71C2411yescharacteristic
950C4⋊Dic71C2412yes—
951C4⋊Dic71C2412yes—
952C4⋊Dic71C2414yes—
953C4⋊Dic71C2414yes—
954C4⋊Dic71C2412yes—
955C4⋊Dic71C2412yes—
956C4⋊Dic71C2412yes—
957C4⋊Dic71C2414yes—
958C4⋊Dic71C2414yes—
959C4⋊Dic71C2414yes—
960C4⋊Dic71C2414yes—
961C4⋊Dic71C2412yes—
962Dic71⋊C4C2412yes—
963Dic71⋊C4C2412yes—
964Dic71⋊C4C2412yes—
965Dic71⋊C4C2412yes—
966Dic71⋊C4C2412yes—
967Dic71⋊C4C2412yes—
968Dic71⋊C4C2414yes—
969Dic71⋊C4C2414yes—
970Dic71⋊C4C2414yes—
971Dic71⋊C4C2414yes—
972Dic71⋊C4C2414yes—
973Dic71⋊C4C2414yes—
974Dic71⋊C4C2414yes—
975Dic71⋊C4C2412yes—
976Dic71⋊C4C2412yes—
977Dic71⋊C4C2412yes—
978Dic71⋊C4C2412yes—
979Dic71⋊C4C2414yes—
980Dic71⋊C4C2414yes—
981Dic71⋊C4C2414yes—
982Dic71⋊C4C2414yes—
983Dic71⋊C4C2414yes—
984Dic71⋊C4C2414yes—
985Dic71⋊C4C2414yes—
986Dic71⋊C4C2414yes—
987Dic71⋊C4C2414yes—
988C22⋊Dic71C2412yes—
989C22⋊Dic71C2414yes—
990C22⋊Dic71C2412yes—
991C22⋊Dic71C2414yes—
992C22⋊Dic71C2414yes—
993C22⋊Dic71C2412yes—
994C22⋊Dic71C2412yes—
995C22⋊Dic71C2412yes—
996C22⋊Dic71C2414yes—
997C22⋊Dic71C2412yes—
998C22⋊Dic71C2412yes—
999C22⋊Dic71C2414yes—
1000C22⋊Dic71C2414yes—
1001C22⋊Dic71C2414yes—
1002(C2×D71)⋊C4C2412yes—
1003(C2×D71)⋊C4C2412yes—
1004(C2×D71)⋊C4C2414yes—
1005(C2×D71)⋊C4C2414yes—
1006(C2×D71)⋊C4C2412yes—
1007(C2×D71)⋊C4C2412yes—
1008(C2×D71)⋊C4C2414yes—
1009(C2×D71)⋊C4C2414yes—
1010(C2×D71)⋊C4C2414yes—
1011(C2×D71)⋊C4C2414yes—
1012(C2×D71)⋊C4C2412yes—
1013(C2×D71)⋊C4C2412yes—
1014(C2×D71)⋊C4C2412yes—
1015(C2×D71)⋊C4C2412yes—
1016(C2×D71)⋊C4C2412yes—
1017(C2×D71)⋊C4C2412yes—
1018(C2×D71)⋊C4C2414yes—
1019(C2×D71)⋊C4C2412yes—
1020(C2×D71)⋊C4C2412yes—
1021(C2×D71)⋊C4C2414yes—
1022(C2×D71)⋊C4C2412yes—
1023(C2×D71)⋊C4C2412yes—
1024(C2×D71)⋊C4C2414yes—
1025(C2×D71)⋊C4C2414yes—
1026(C2×D71)⋊C4C2414yes—
1027(C2×D71)⋊C4C2414yes—
1028(C2×D71)⋊C4C2414yes—
1029(C2×D71)⋊C4C2414yes—
1030C4×Dic71C2411yescharacteristic
1031C4×Dic71C2411yescharacteristic
1032C4×Dic71C2411yescharacteristic
1033C4×Dic71C2411yescharacteristic
1034C4×Dic71C2411yescharacteristic
1035C4×Dic71C2411yescharacteristic
1036C4×Dic71C2411yescharacteristic
1037C4×Dic71C2411yescharacteristic
1038C4×Dic71C2411yescharacteristic
1039C4×Dic71C2411yescharacteristic
1040C4×Dic71C2411yescharacteristic
1041C4×Dic71C2411yescharacteristic
1042C4×Dic71C2412yes—
1043C4×Dic71C2412yes—
1044C4×Dic71C2412yes—
1045C4×Dic71C2414yes—
1046C4×Dic71C2414yes—
1047C4×Dic71C2414yes—
1048C4×Dic71C2414yes—
1049C4×Dic71C2414yes—
1050C4×Dic71C2414yes—
1051C4×Dic71C2414yes—
1052C4×Dic71C2412yes—
1053C4×Dic71C2412yes—
1054C4×Dic71C2414yes—
1055C4×Dic71C2414yes—
1056C4×Dic71C2412yes—
1057C4×Dic71C2412yes—
1058C4×Dic71C2412yes—
1059C4×Dic71C2412yes—
1060C24×C71C2412yes—
1061#41×C71—28no—
1062#41×C71—24no—
1063C2×Q8×C71C2412yes—
1064C2×Q8×C71C2411yescharacteristic
1065C2×Q8×C71C2412yes—
1066C2×D4×C71—24no—
1067C2×D4×C71C2412yes—
1068C2×D4×C71C2411yescharacteristic
1069C2×D4×C71C2412yes—
1070C2×D4×C71C2414yes—
1071C2×D4×C71C2411yescharacteristic
1072C2×D4×C71C2414yes—
1073C2×D4×C71C2411yescharacteristic
1074C22×C4×C71—28no—
1075C22×C4×C71C2412yes—
1076C22×C4×C71C2412yes—
1077C22×C4×C71C2412yes—
1078C22×C4×C71C2412yes—
1079C22×C4×C71C2412yes—
1080C22×C4×C71C2411yescharacteristic
1081C22×C4×C71C2414yes—
1082C22×C4×C71C2412yes—
1083C22×C4×C71C2412yes—
1084C22×C4×C71C2411yescharacteristic
1085C22×C4×C71C2414yes—
1086C22×C4×C71C2412yes—
1087C22×C4×C71C2411yescharacteristic
1088C4⋊C4×C71C2411yescharacteristic
1089C4⋊C4×C71C2411yescharacteristic
1090C4⋊C4×C71C2412yes—
1091C4⋊C4×C71C2411yescharacteristic
1092C4⋊C4×C71C2411yescharacteristic
1093C4⋊C4×C71C2412yes—
1094C4⋊C4×C71C2412yes—
1095C4⋊C4×C71C2414yes—
1096C4⋊C4×C71C2414yes—
1097C4⋊C4×C71C2412yes—
1098C4⋊C4×C71C2412yes—
1099C4⋊C4×C71C2412yes—
1100C4⋊C4×C71C2414yes—
1101C4⋊C4×C71C2414yes—
1102C4⋊C4×C71C2414yes—
1103C4⋊C4×C71C2414yes—
1104C4⋊C4×C71C2412yes—
1105C22⋊C4×C71C2412yes—
1106C22⋊C4×C71C2414yes—
1107C22⋊C4×C71C2412yes—
1108C22⋊C4×C71C2414yes—
1109C22⋊C4×C71C2414yes—
1110C22⋊C4×C71C2412yes—
1111C22⋊C4×C71C2412yes—
1112C22⋊C4×C71C2412yes—
1113C22⋊C4×C71C2414yes—
1114C22⋊C4×C71C2412yes—
1115C22⋊C4×C71C2412yes—
1116C22⋊C4×C71C2414yes—
1117C22⋊C4×C71C2414yes—
1118C22⋊C4×C71C2414yes—
1119C42×C71C2411yescharacteristic
1120C42×C71C2411yescharacteristic
1121C42×C71C2411yescharacteristic
1122C42×C71C2411yescharacteristic
1123C42×C71C2412yes—
1124C42×C71C2414yes—
1125C42×C71C2414yes—
1126C42×C71C2414yes—
1127C42×C71C2412yes—
1128C42×C71C2412yes—
1129C23×C71—24no—
1130C23×C71—24no—
1131C23×C71—42no—
1132C23×C71C2512yes—
1133C23×C71C2512yes—
1134C23×C71C2511yescharacteristic
1135C23×C71C2512yes—
1136C22×D71—24no—
1137C22×D71—22no—
1138C22×D71—24no—
1139C22×D71—22no—
1140C22×D71—24no—
1141C22×D71—24no—
1142C22×D71—24no—
1143C22×D71—24no—
1144C22×D71—24no—
1145C22×D71—24no—
1146C22×D71—24no—
1147C22×D71—24no—
1148C22×D71—24no—
1149C22×D71—24no—
1150C22×D71—24no—
1151C22×D71—24no—
1152C22×D71—42no—
1153C22×D71—42no—
1154C22×D71—42no—
1155C22×D71—432no—
1156C22×D71C2×#4114yes—
1157C22×D71C2×#4118yes—
1158C22×D71C2512yes—
1159C22×D71C2512yes—
1160C22×D71C2511yescharacteristic
1161C22×D71C2512yes—
1162C22×D71C2511yescharacteristic
1163Q8×C71—24no—
1164Q8×C71—22no—
1165Q8×C71—42no—
1166D4×C71—24no—
1167D4×C71—24no—
1168D4×C71—28no—
1169D4×C71—22no—
1170D4×C71—22no—
1171D4×C71—44no—
1172D4×C71C2×#4114yescomplemented
1173C2×C4×C71—24no—
1174C2×C4×C71—28no—
1175C2×C4×C71—24no—
1176C2×C4×C71—24no—
1177C2×C4×C71—24no—
1178C2×C4×C71—24no—
1179C2×C4×C71—22no—
1180C2×C4×C71—24no—
1181C2×C4×C71—24no—
1182C2×C4×C71—41no—
1183C2×C4×C71—44no—
1184C2×C4×C71—42no—
1185C2×C4×C71C2×#4114yescomplemented
1186C2×C4×C71C2512yes—
1187C2×C4×C71C2512yes—
1188C2×C4×C71C2511yescharacteristic
1189C2×C4×C71C2512yes—
1190C2×C4×C71C2511yescharacteristic
1191C2×C4×C71C2514yes—
1192C2×C4×C71C2512yes—
1193C2×C4×C71C2514yes—
1194C2×C4×C71C2511yescharacteristic
1195C2×C4×C71C2512yes—
1196C2×C4×C71C2511yescharacteristic
1197C2×C4×C71C2511yescharacteristic
1198C2×C4×C71C2511yescharacteristic
1199C22⋊D71—24no—
1200C22⋊D71—24no—
1201C22⋊D71—28no—
1202C22⋊D71—24no—
1203C22⋊D71—24no—
1204C22⋊D71—28no—
1205C22⋊D71—24no—
1206C22⋊D71—24no—
1207C22⋊D71—44no—
1208C22⋊D71—44no—
1209C22⋊D71C2×#4118yescomplemented
1210C2×Dic71—24no—
1211C2×Dic71—28no—
1212C2×Dic71—24no—
1213C2×Dic71—24no—
1214C2×Dic71—24no—
1215C2×Dic71—24no—
1216C2×Dic71—22no—
1217C2×Dic71—24no—
1218C2×Dic71—24no—
1219C2×Dic71—41no—
1220C2×Dic71—44no—
1221C2×Dic71—42no—
1222C2×Dic71C2×#4114yescomplemented
1223C2×Dic71C2512yes—
1224C2×Dic71C2512yes—
1225C2×Dic71C2511yescharacteristic
1226C2×Dic71C2512yes—
1227C2×Dic71C2511yescharacteristic
1228C2×Dic71C2514yes—
1229C2×Dic71C2512yes—
1230C2×Dic71C2514yes—
1231C2×Dic71C2511yescharacteristic
1232C2×Dic71C2512yes—
1233C2×Dic71C2511yescharacteristic
1234C2×Dic71C2511yescharacteristic
1235C2×Dic71C2511yescharacteristic
1236D284—24no—
1237D284—24no—
1238D284—28no—
1239D284—22no—
1240D284—22no—
1241D284—44no—
1242D284C2×#4114yescomplemented
1243C4×D71—24no—
1244C4×D71—24no—
1245C4×D71—24no—
1246C4×D71—24no—
1247C4×D71—24no—
1248C4×D71—22no—
1249C4×D71—28no—
1250C4×D71—24no—
1251C4×D71—28no—
1252C4×D71—28no—
1253C4×D71—22no—
1254C4×D71—24no—
1255C4×D71—28no—
1256C4×D71—22no—
1257C4×D71—24no—
1258C4×D71—24no—
1259C4×D71—24no—
1260C4×D71—24no—
1261C4×D71—22no—
1262C4×D71—24no—
1263C4×D71—24no—
1264C4×D71—24no—
1265C4×D71—24no—
1266C4×D71—24no—
1267C4×D71—24no—
1268C4×D71—22no—
1269C4×D71—24no—
1270C4×D71—24no—
1271C4×D71—41no—
1272C4×D71—44no—
1273C4×D71—41no—
1274C4×D71—44no—
1275C4×D71—42no—
1276C4×D71—42no—
1277C4×D71C2×#4114yes—
1278C4×D71C2×#4114yes—
1279C4×D71C2×#4114yes—
1280C4×D71C2×#4114yescomplemented
1281C4×D71C2×#4114yescomplemented
1282Dic142—24no—
1283Dic142—22no—
1284Dic142—28no—
1285Dic142—24no—
1286Dic142—44no—
1287Dic142—42no—
1288C22×C71—22no—
1289C22×C71—21no—
1290C22×C71—22no—
1291C22×C71—21no—
1292C22×C71—22no—
1293C22×C71—22no—
1294C22×C71—22no—
1295C22×C71—22no—
1296C22×C71—22no—
1297C22×C71—22no—
1298C22×C71—48no—
1299C22×C71C22×#4112yes—
1300C22×C71C22×#4114yes—
1301C22×C71C2611yescharacteristic
1302C2×D71—22no—
1303C2×D71—21no—
1304C2×D71—22no—
1305C2×D71—21no—
1306C2×D71—28no—
1307C2×D71—216no—
1308C2×D71—22no—
1309C2×D71—22no—
1310C2×D71—22no—
1311C2×D71—22no—
1312C2×D71—22no—
1313C2×D71—22no—
1314C2×D71—48no—
1315C2×D71—48no—
1316C2×D71—48no—
1317C2×D71—48no—
1318C2×D71—48no—
1319C2×D71C22×#4112yes—
1320C2×D71C22×#4114yes—
1321C2×D71C22×#4112yes—
1322C2×D71C22×#4112yes—
1323C2×D71#58512yes—
1324C4×C71—24no—
1325C4×C71—22no—
1326C4×C71—22no—
1327C4×C71—22no—
1328C4×C71—22no—
1329C4×C71—21no—
1330C4×C71—21no—
1331C4×C71—24no—
1332C4×C71—21no—
1333C4×C71—22no—
1334C4×C71C22×#4112yes—
1335C4×C71C22×#4112yes—
1336C4×C71C22×#4112yes—
1337Dic71—24no—
1338Dic71—22no—
1339Dic71—22no—
1340Dic71—22no—
1341Dic71—22no—
1342Dic71—21no—
1343Dic71—21no—
1344Dic71—24no—
1345Dic71—21no—
1346Dic71—22no—
1347Dic71C22×#4112yes—
1348Dic71C22×#4112yes—
1349Dic71C22×#4112yes—
1350C2×#3475—711nomaximal, Sylow
1351C2×C71—22no—
1352C2×C71—24no—
1353C2×C71—42no—
1354C2×C71—42no—
1355C2×C71C23×#4111yescharacteristic
1356C2×C71C23×#4111yescharacteristic
1357C2×C71C2×#58511yescharacteristic
1358D71—22no—
1359D71—24no—
1360D71—42no—
1361D71—42no—
1362D71#347514yesdirect product factor
1363#3475—711no—
1364#3475—711no—
1365#3475—711no—
1366#3475—712no—
1367#3475—712no—
1368#3475—712no—
1369#3475—714no—
1370#3475—711no—
1371#3475—712no—
1372#3475—711no—
1373#3475—714no—
1374#3475—712no—
1375#3475—712no—
1376#3475—712no—
1377#3475—711no—
1378#3475—711no—
1379#3475—712no—
1380#3475D7111yescharacteristic, direct product factor
1381C2×#556—711no—
1382C2×#555—711no—
1383C2×#554—711no—
1384C2×#553—712no—
1385C2×#552—712no—
1386C2×#552—712no—
1387C2×#551—714no—
1388C2×#547—711no—
1389C2×#546—712no—
1390C2×#533—711no—
1391C2×#529—712no—
1392C2×#529—714no—
1393C2×#525—712no—
1394C2×C4×#41—711no—
1395C2×C4×#41—712no—
1396C22×C4×D4—711no—
1397C22×#117—712no—
1398C71C2×#347511yescharacteristic, complemented, Sylow
1399C22×#41—711no—
1400C22×#41—712no—
1401C23×D4—711no—
1402C24×C4—712no—
1403#556—711no—
1404#556—714no—
1405#556—712no—
1406#556—712no—
1407#556—712no—
1408#556—711no—
1409#556—711no—
1410#556—712no—
1411#556C2×D7111yescharacteristic, complemented
1412#555—711no—
1413#555—714no—
1414#555—712no—
1415#555—712no—
1416#555—711no—
1417#555—711no—
1418#555—712no—
1419#555—712no—
1420#555C2×D7111yescharacteristic, complemented
1421#554—711no—
1422#554—712no—
1423#554—714no—
1424#554—712no—
1425#554—711no—
1426#554—711no—
1427#554—712no—
1428#554—712no—
1429#554C2×D7111yescharacteristic, complemented
1430#553—714no—
1431#553—712no—
1432#553—714no—
1433#553—714no—
1434#553—712no—
1435#553—712no—
1436#553—712no—
1437#553—714no—
1438#553—712no—
1439#553—712no—
1440#553—712no—
1441#553C2×D7112yescomplemented
1442#552—714no—
1443#552—714no—
1444#552—714no—
1445#552—714no—
1446#552—712no—
1447#552—712no—
1448#552—714no—
1449#552—714no—
1450#552—712no—
1451#552—712no—
1452#552—712no—
1453#552—712no—
1454#552—712no—
1455#552—712no—
1456#552—712no—
1457#552—712no—
1458#552—714no—
1459#552—714no—
1460#552—712no—
1461#552—712no—
1462#552—712no—
1463#552—712no—
1464#552C2×D7112yescomplemented
1465#552C2×D7112yescomplemented
1466#551—714no—
1467#551—714no—
1468#551—714no—
1469#551—714no—
1470#551—714no—
1471#551—714no—
1472#551—714no—
1473#551—714no—
1474#551—714no—
1475#551—714no—
1476#551—714no—
1477#551—714no—
1478#551—714no—
1479#551—714no—
1480#551—714no—
1481#551C2×D7114yescomplemented
1482#547—712no—
1483#547—711no—
1484#547—714no—
1485#547—712no—
1486#547—712no—
1487#547—711no—
1488#547—711no—
1489#547—712no—
1490#547C2×D7111yescharacteristic, complemented
1491#546—712no—
1492#546—712no—
1493#546—712no—
1494#546—714no—
1495#546—712no—
1496#546—714no—
1497#546—712no—
1498#546—714no—
1499#546—712no—
1500#546—712no—
1501#546—714no—
1502#546C2×D7112yescomplemented
1503#533—711no—
1504#533—711no—
1505#533—712no—
1506#533—712no—
1507#533—712no—
1508#533—712no—
1509#533—712no—
1510#533—712no—
1511#533—711no—
1512#533C2×D7111yescharacteristic, complemented
1513C2×C4⋊Q8—711no—
1514C2×C4⋊Q8—711no—
1515#529—714no—
1516#529—714no—
1517#529—714no—
1518#529—714no—
1519#529—712no—
1520#529—712no—
1521#529—714no—
1522#529—714no—
1523#529—714no—
1524#529—714no—
1525#529—714no—
1526#529—712no—
1527#529—714no—
1528#529—712no—
1529#529—714no—
1530#529—712no—
1531#529—714no—
1532#529—712no—
1533#529—714no—
1534#529—714no—
1535#529—714no—
1536#529—714no—
1537#529—714no—
1538#529—714no—
1539#529—714no—
1540#529—712no—
1541#529C2×D7114yescomplemented
1542#529C2×D7112yescomplemented
1543C2×#126—714no—
1544C2×#126—714no—
1545C2×#126—714no—
1546C2×#125—714no—
1547C2×#125—712no—
1548C2×#125—712no—
1549C2×#124—712no—
1550C2×#124—714no—
1551#525—712no—
1552#525—712no—
1553#525—714no—
1554#525—712no—
1555#525—712no—
1556#525—712no—
1557#525—712no—
1558#525—714no—
1559#525—714no—
1560#525—714no—
1561#525—712no—
1562#525C2×D7112yescomplemented
1563C2×#123—714no—
1564C2×#123—714no—
1565C2×#123—714no—
1566C2×#123—714no—
1567C2×C22⋊Q8—712no—
1568C2×C22⋊Q8—712no—
1569C2×C22⋊Q8—712no—
1570C2×C22⋊Q8—712no—
1571C2×C22⋊Q8—712no—
1572C2×C22⋊Q8—714no—
1573C2×#121—714no—
1574C2×#121—712no—
1575C2×#121—712no—
1576C2×#121—712no—
1577C2×#120—714no—
1578C4×#41—712no—
1579C4×#41—711no—
1580C4×#41—712no—
1581C4×#41—712no—
1582C4×#41—711no—
1583C4×#41—711no—
1584C4×#41—712no—
1585C4×#41—712no—
1586C4×#41—712no—
1587C4×#41—712no—
1588C4×#41—714no—
1589C4×#41—714no—
1590C4×#41—711no—
1591C4×#41—711no—
1592C4×#41—711no—
1593C4×#41—714no—
1594C4×#41—712no—
1595C4×#41—712no—
1596C4×#41—711no—
1597C4×#41—712no—
1598C4×#41—714no—
1599C4×#41—712no—
1600C4×#41C2×D7111yescharacteristic, complemented
1601C4×#41C2×D7112yescomplemented
1602C2×C4×Q8—712no—
1603C2×C4×Q8—711no—
1604C2×C4×Q8—712no—
1605C2×C4×Q8—711no—
1606C2×C4×Q8—712no—
1607C2×C4×D4—711no—
1608C2×C4×D4—712no—
1609C2×C4×D4—711no—
1610C2×C4×D4—712no—
1611C2×C4×D4—711no—
1612C2×C4×D4—711no—
1613C2×C4×D4—712no—
1614C2×C4×D4—711no—
1615C2×C4×D4—711no—
1616C2×C4×D4—712no—
1617C2×C4×D4—711no—
1618C2×C4×D4—711no—
1619C2×C4×D4—712no—
1620C2×C4×D4—711no—
1621C2×C4×D4—712no—
1622C2×C4×D4—712no—
1623C2×C4×D4—712no—
1624C2×C4×D4—714no—
1625C2×C4×D4—711no—
1626C2×C4×D4—714no—
1627C2×C4×D4—711no—
1628C2×C4×D4—714no—
1629C2×C4×D4—711no—
1630C2×C4×D4—712no—
1631C2×C4×D4—711no—
1632C2×C4×D4C2×D7111yescharacteristic, complemented
1633C2×#117—712no—
1634C2×#117—711no—
1635C2×#117—712no—
1636C2×#117—714no—
1637C2×#117—712no—
1638C2×#117—712no—
1639C2×#117—714no—
1640C2×#117—714no—
1641C2×#117—712no—
1642C2×#117—712no—
1643C2×#117—714no—
1644C2×#117—712no—
1645C2×#117—712no—
1646C2×#117—712no—
1647C2×#117—714no—
1648C2×#117—712no—
1649C2×#117—712no—
1650C2×#117—712no—
1651C2×#117—714no—
1652C2×#117—714no—
1653C2×#117C2×D7112yescomplemented
1654C22×C4⋊C4—711no—
1655C22×C4⋊C4—712no—
1656C22×C4⋊C4—712no—
1657C22×C22⋊C4—714no—
1658C22×C22⋊C4—712no—
1659C22×C42—711no—
1660C22×C42—714no—
1661C22×C42—712no—
1662C25—712no—
1663C2×#41—711no—
1664C2×#41—712no—
1665C2×#41—712no—
1666C2×#41—711no—
1667C2×#41—712no—
1668C2×#41—714no—
1669C2×#41—712no—
1670C2×#41—711no—
1671C2×#41—712no—
1672C2×#41—714no—
1673C2×#41—1428no—
1674C2×#41—14216no—
1675C2×#41C22×D7111yescharacteristic
1676C2×#41C22×D7112yes—
1677C22×Q8—712no—
1678C22×Q8—711no—
1679C22×Q8—712no—
1680C22×D4—714no—
1681C22×D4—711no—
1682C22×D4—712no—
1683C22×D4—712no—
1684C22×D4—714no—
1685C22×D4—711no—
1686C22×D4—712no—
1687C22×D4—711no—
1688C22×D4—712no—
1689C22×D4—711no—
1690C22×D4—711no—
1691C22×D4—711no—
1692C22×D4—1428no—
1693C22×D4C22×D7111yescharacteristic
1694C23×C4—711no—
1695C23×C4—714no—
1696C23×C4—712no—
1697C23×C4—711no—
1698C23×C4—712no—
1699C23×C4—712no—
1700C23×C4—714no—
1701C23×C4—712no—
1702C23×C4—711no—
1703C23×C4—712no—
1704C23×C4—712no—
1705C23×C4—712no—
1706C23×C4—712no—
1707C23×C4—712no—
1708C23×C4—712no—
1709C23×C4—712no—
1710C23×C4—712no—
1711C23×C4—712no—
1712C23×C4—712no—
1713C23×C4—712no—
1714C23×C4—14216no—
1715C23×C4C22×D7112yes—
1716C4⋊Q8—712no—
1717C4⋊Q8—712no—
1718C4⋊Q8—712no—
1719C4⋊Q8—712no—
1720C4⋊Q8—712no—
1721C4⋊Q8—712no—
1722C4⋊Q8—711no—
1723C4⋊Q8—711no—
1724C4⋊Q8C22×D7111yescharacteristic, complemented
1725C4⋊Q8C22×D7111yescharacteristic, complemented
1726#126—714no—
1727#126—714no—
1728#126—714no—
1729#126—714no—
1730#126—714no—
1731#126—714no—
1732#126—714no—
1733#126—714no—
1734#126—714no—
1735#126—714no—
1736#126—714no—
1737#126—714no—
1738#126—714no—
1739#126—714no—
1740#126—714no—
1741#126—714no—
1742#126—714no—
1743#126—714no—
1744#126—714no—
1745#126—714no—
1746#126—714no—
1747#126C22×D7114yescomplemented
1748#126C22×D7114yescomplemented
1749#126C22×D7114yescomplemented
1750#125—714no—
1751#125—714no—
1752#125—714no—
1753#125—714no—
1754#125—714no—
1755#125—714no—
1756#125—714no—
1757#125—714no—
1758#125—712no—
1759#125—712no—
1760#125—714no—
1761#125—714no—
1762#125—712no—
1763#125—712no—
1764#125—714no—
1765#125—712no—
1766#125—712no—
1767#125C22×D7114yescomplemented
1768#125C22×D7112yescomplemented
1769#125C22×D7112yescomplemented
1770#124—712no—
1771#124—714no—
1772#124—712no—
1773#124—714no—
1774#124—714no—
1775#124—714no—
1776#124—714no—
1777#124—714no—
1778#124—714no—
1779#124—714no—
1780#124—712no—
1781#124—714no—
1782#124C22×D7112yes—
1783#124C22×D7114yescomplemented
1784#123—714no—
1785#123—714no—
1786#123—714no—
1787#123—714no—
1788#123—714no—
1789#123—714no—
1790#123—714no—
1791#123—714no—
1792#123—714no—
1793#123—714no—
1794#123—714no—
1795#123—714no—
1796#123—714no—
1797#123—714no—
1798#123—714no—
1799#123—714no—
1800#123—714no—
1801#123—714no—
1802#123—714no—
1803#123—714no—
1804#123—714no—
1805#123—714no—
1806#123—714no—
1807#123—714no—
1808#123—714no—
1809#123—714no—
1810#123—714no—
1811#123—714no—
1812#123C22×D7114yes—
1813#123C22×D7114yes—
1814#123C22×D7114yescomplemented
1815#123C22×D7114yescomplemented
1816C22⋊Q8—712no—
1817C22⋊Q8—712no—
1818C22⋊Q8—712no—
1819C22⋊Q8—714no—
1820C22⋊Q8—712no—
1821C22⋊Q8—712no—
1822C22⋊Q8—712no—
1823C22⋊Q8—712no—
1824C22⋊Q8—712no—
1825C22⋊Q8—714no—
1826C22⋊Q8—712no—
1827C22⋊Q8—712no—
1828C22⋊Q8—714no—
1829C22⋊Q8—712no—
1830C22⋊Q8—714no—
1831C22⋊Q8—712no—
1832C22⋊Q8—714no—
1833C22⋊Q8—712no—
1834C22⋊Q8—714no—
1835C22⋊Q8—714no—
1836C22⋊Q8—714no—
1837C22⋊Q8—714no—
1838C22⋊Q8—712no—
1839C22⋊Q8—714no—
1840C22⋊Q8—712no—
1841C22⋊Q8—714no—
1842C22⋊Q8—714no—
1843C22⋊Q8—714no—
1844C22⋊Q8—714no—
1845C22⋊Q8—714no—
1846C22⋊Q8—714no—
1847C22⋊Q8—714no—
1848C22⋊Q8C22×D7112yes—
1849C22⋊Q8C22×D7112yes—
1850C22⋊Q8C22×D7112yescomplemented
1851C22⋊Q8C22×D7112yescomplemented
1852C22⋊Q8C22×D7112yescomplemented
1853C22⋊Q8C22×D7114yescomplemented
1854#121—712no—
1855#121—714no—
1856#121—712no—
1857#121—714no—
1858#121—714no—
1859#121—714no—
1860#121—714no—
1861#121—712no—
1862#121—714no—
1863#121—712no—
1864#121—712no—
1865#121—714no—
1866#121—712no—
1867#121—712no—
1868#121—712no—
1869#121—714no—
1870#121—712no—
1871#121—714no—
1872#121—714no—
1873#121—714no—
1874#121—714no—
1875#121—714no—
1876#121C22×D7114yes—
1877#121C22×D7112yes—
1878#121C22×D7112yescomplemented
1879#121C22×D7112yescomplemented
1880#120—714no—
1881#120—714no—
1882#120—714no—
1883#120—714no—
1884#120—714no—
1885#120—714no—
1886#120—714no—
1887#120C22×D7114yes—
1888C4×Q8—712no—
1889C4×Q8—711no—
1890C4×Q8—712no—
1891C4×Q8—711no—
1892C4×Q8—712no—
1893C4×Q8—714no—
1894C4×Q8—712no—
1895C4×Q8—712no—
1896C4×Q8—711no—
1897C4×Q8—714no—
1898C4×Q8—712no—
1899C4×Q8—712no—
1900C4×Q8—711no—
1901C4×Q8—712no—
1902C4×Q8—714no—
1903C4×Q8—714no—
1904C4×Q8—712no—
1905C4×Q8—711no—
1906C4×Q8—712no—
1907C4×Q8—712no—
1908C4×Q8—714no—
1909C4×Q8—712no—
1910C4×Q8—711no—
1911C4×Q8—712no—
1912C4×Q8—714no—
1913C4×Q8C22×D7112yescomplemented
1914C4×Q8C22×D7111yescharacteristic, complemented
1915C4×Q8C22×D7112yescomplemented
1916C4×Q8C22×D7111yescharacteristic, complemented
1917C4×Q8C22×D7112yescomplemented
1918C4×D4—711no—
1919C4×D4—711no—
1920C4×D4—712no—
1921C4×D4—711no—
1922C4×D4—712no—
1923C4×D4—711no—
1924C4×D4—714no—
1925C4×D4—712no—
1926C4×D4—712no—
1927C4×D4—711no—
1928C4×D4—712no—
1929C4×D4—714no—
1930C4×D4—711no—
1931C4×D4—714no—
1932C4×D4—712no—
1933C4×D4—712no—
1934C4×D4—712no—
1935C4×D4—712no—
1936C4×D4—712no—
1937C4×D4—712no—
1938C4×D4—712no—
1939C4×D4—712no—
1940C4×D4—714no—
1941C4×D4—714no—
1942C4×D4—712no—
1943C4×D4—712no—
1944C4×D4—714no—
1945C4×D4—712no—
1946C4×D4—712no—
1947C4×D4—712no—
1948C4×D4—714no—
1949C4×D4—714no—
1950C4×D4—712no—
1951C4×D4—714no—
1952C4×D4—714no—
1953C4×D4—711no—
1954C4×D4—711no—
1955C4×D4—712no—
1956C4×D4—711no—
1957C4×D4—712no—
1958C4×D4—711no—
1959C4×D4—714no—
1960C4×D4—712no—
1961C4×D4—712no—
1962C4×D4—711no—
1963C4×D4—712no—
1964C4×D4—714no—
1965C4×D4—711no—
1966C4×D4—714no—
1967C4×D4—712no—
1968C4×D4—712no—
1969C4×D4—712no—
1970C4×D4—712no—
1971C4×D4—712no—
1972C4×D4—712no—
1973C4×D4—712no—
1974C4×D4—712no—
1975C4×D4—714no—
1976C4×D4—714no—
1977C4×D4—712no—
1978C4×D4—712no—
1979C4×D4—714no—
1980C4×D4—712no—
1981C4×D4—712no—
1982C4×D4—712no—
1983C4×D4—714no—
1984C4×D4—714no—
1985C4×D4—712no—
1986C4×D4—714no—
1987C4×D4—714no—
1988C4×D4—711no—
1989C4×D4—711no—
1990C4×D4—712no—
1991C4×D4—711no—
1992C4×D4—712no—
1993C4×D4—711no—
1994C4×D4—714no—
1995C4×D4—712no—
1996C4×D4—712no—
1997C4×D4—711no—
1998C4×D4—712no—
1999C4×D4—714no—
2000C4×D4—711no—
2001C4×D4—714no—
2002C4×D4C22×D7111yescharacteristic
2003C4×D4C22×D7111yescharacteristic
2004C4×D4C22×D7112yes—
2005C4×D4C22×D7111yescharacteristic
2006C4×D4C22×D7112yes—
2007C4×D4C22×D7111yescharacteristic
2008C4×D4C22×D7112yes—
2009C4×D4C22×D7112yes—
2010C4×D4C22×D7112yes—
2011C4×D4C22×D7114yescomplemented
2012C4×D4C22×D7111yescharacteristic, complemented
2013C4×D4C22×D7114yescomplemented
2014C4×D4C22×D7111yescharacteristic, complemented
2015C4×D4C22×D7114yescomplemented
2016#117—711no—
2017#117—712no—
2018#117—714no—
2019#117—714no—
2020#117—712no—
2021#117—712no—
2022#117—712no—
2023#117—714no—
2024#117—712no—
2025#117—711no—
2026#117—711no—
2027#117—712no—
2028#117—712no—
2029#117—714no—
2030#117—714no—
2031#117—714no—
2032#117—714no—
2033#117—712no—
2034#117—712no—
2035#117—712no—
2036#117—712no—
2037#117—712no—
2038#117—712no—
2039#117—714no—
2040#117—714no—
2041#117—712no—
2042#117—712no—
2043#117—712no—
2044#117—714no—
2045#117—714no—
2046#117—714no—
2047#117—714no—
2048#117—714no—
2049#117—714no—
2050#117—714no—
2051#117—712no—
2052#117—712no—
2053#117—714no—
2054#117—714no—
2055#117—714no—
2056#117—712no—
2057#117—714no—
2058#117—714no—
2059#117—714no—
2060#117—714no—
2061#117—714no—
2062#117—714no—
2063#117—714no—
2064#117—712no—
2065#117—712no—
2066#117—714no—
2067#117—714no—
2068#117—714no—
2069#117C22×D7111yescharacteristic
2070#117C22×D7112yes—
2071#117C22×D7114yes—
2072#117C22×D7114yescomplemented
2073#117C22×D7112yescomplemented
2074#117C22×D7112yescomplemented
2075#117C22×D7112yescomplemented
2076#117C22×D7114yescomplemented
2077#117C22×D7112yescomplemented
2078C2×C4⋊C4—714no—
2079C2×C4⋊C4—712no—
2080C2×C4⋊C4—714no—
2081C2×C4⋊C4—712no—
2082C2×C4⋊C4—712no—
2083C2×C4⋊C4—711no—
2084C2×C4⋊C4—711no—
2085C2×C4⋊C4—711no—
2086C2×C4⋊C4—711no—
2087C2×C4⋊C4—712no—
2088C2×C4⋊C4—712no—
2089C2×C4⋊C4—714no—
2090C2×C4⋊C4—714no—
2091C2×C4⋊C4—714no—
2092C2×C4⋊C4—712no—
2093C2×C4⋊C4—712no—
2094C2×C4⋊C4—714no—
2095C2×C4⋊C4—712no—
2096C2×C4⋊C4—712no—
2097C2×C4⋊C4—711no—
2098C2×C4⋊C4—712no—
2099C2×C4⋊C4—712no—
2100C2×C4⋊C4—711no—
2101C2×C4⋊C4—711no—
2102C2×C4⋊C4—712no—
2103C2×C4⋊C4—712no—
2104C2×C4⋊C4—714no—
2105C2×C4⋊C4—714no—
2106C2×C4⋊C4—712no—
2107C2×C4⋊C4—714no—
2108C2×C4⋊C4—714no—
2109C2×C4⋊C4—712no—
2110C2×C4⋊C4C22×D7111yescharacteristic
2111C2×C4⋊C4C22×D7112yescomplemented
2112C2×C4⋊C4C22×D7112yescomplemented
2113C2×C22⋊C4—714no—
2114C2×C22⋊C4—712no—
2115C2×C22⋊C4—714no—
2116C2×C22⋊C4—714no—
2117C2×C22⋊C4—712no—
2118C2×C22⋊C4—712no—
2119C2×C22⋊C4—712no—
2120C2×C22⋊C4—712no—
2121C2×C22⋊C4—714no—
2122C2×C22⋊C4—714no—
2123C2×C22⋊C4—714no—
2124C2×C22⋊C4—714no—
2125C2×C22⋊C4—714no—
2126C2×C22⋊C4—714no—
2127C2×C22⋊C4—714no—
2128C2×C22⋊C4—712no—
2129C2×C22⋊C4—712no—
2130C2×C22⋊C4—712no—
2131C2×C22⋊C4—712no—
2132C2×C22⋊C4—712no—
2133C2×C22⋊C4—712no—
2134C2×C22⋊C4—712no—
2135C2×C22⋊C4—714no—
2136C2×C22⋊C4—712no—
2137C2×C22⋊C4—714no—
2138C2×C22⋊C4—712no—
2139C2×C22⋊C4—714no—
2140C2×C22⋊C4—714no—
2141C2×C22⋊C4C22×D7114yes—
2142C2×C22⋊C4C22×D7112yes—
2143C2×C42—714no—
2144C2×C42—714no—
2145C2×C42—714no—
2146C2×C42—711no—
2147C2×C42—711no—
2148C2×C42—711no—
2149C2×C42—712no—
2150C2×C42—712no—
2151C2×C42—712no—
2152C2×C42—714no—
2153C2×C42—712no—
2154C2×C42—711no—
2155C2×C42—714no—
2156C2×C42—714no—
2157C2×C42—712no—
2158C2×C42—714no—
2159C2×C42—714no—
2160C2×C42—714no—
2161C2×C42—714no—
2162C2×C42—711no—
2163C2×C42—711no—
2164C2×C42—712no—
2165C2×C42—711no—
2166C2×C42—711no—
2167C2×C42—711no—
2168C2×C42—711no—
2169C2×C42—711no—
2170C2×C42—712no—
2171C2×C42—712no—
2172C2×C42—712no—
2173C2×C42—712no—
2174C2×C42C22×D7111yescharacteristic
2175C2×C42C22×D7114yescomplemented
2176C2×C42C22×D7112yescomplemented
2177C24—2844no—
2178C24—712no—
2179C24—712no—
2180C24—712no—
2181C24—711no—
2182C24—712no—
2183C24—712no—
2184C24—712no—
2185C24—1428no—
2186C24—1428no—
2187C24C23×D7112yes—
2188#41—28no—
2189#41—24no—
2190#41—1428no—
2191#41—14216no—
2192#41—1428no—
2193#41—1428no—
2194#41—1424no—
2195#41—1424no—
2196#41—14216no—
2197#41—1428no—
2198#41—1428no—
2199#41—1424no—
2200C2×Q8—2844no—
2201C2×Q8—714no—
2202C2×Q8—712no—
2203C2×Q8—712no—
2204C2×Q8—711no—
2205C2×Q8—714no—
2206C2×Q8—712no—
2207C2×Q8—1424no—
2208C2×Q8—1428no—
2209C2×Q8C23×D7111yescharacteristic
2210C2×Q8C23×D7112yes—
2211C2×Q8C23×D7112yes—
2212C2×D4—24no—
2213C2×D4—2848no—
2214C2×D4—714no—
2215C2×D4—714no—
2216C2×D4—712no—
2217C2×D4—718no—
2218C2×D4—712no—
2219C2×D4—712no—
2220C2×D4—714no—
2221C2×D4—714no—
2222C2×D4—712no—
2223C2×D4—712no—
2224C2×D4—712no—
2225C2×D4—712no—
2226C2×D4—714no—
2227C2×D4—711no—
2228C2×D4—712no—
2229C2×D4—714no—
2230C2×D4—711no—
2231C2×D4—712no—
2232C2×D4—711no—
2233C2×D4—1424no—
2234C2×D4—1424no—
2235C2×D4—1424no—
2236C2×D4—1428no—
2237C2×D4—1424no—
2238C2×D4—1428no—
2239C2×D4—1428no—
2240C2×D4—14216no—
2241C2×D4—1428no—
2242C2×D4—1424no—
2243C2×D4C23×D7112yes—
2244C2×D4C23×D7112yes—
2245C2×D4C23×D7111yescharacteristic
2246C2×D4C23×D7114yes—
2247C2×D4C23×D7111yescharacteristic
2248C2×D4C23×D7114yes—
2249C2×D4C23×D7111yescharacteristic
2250C22×C4—28no—
2251C22×C4—2844no—
2252C22×C4—2848no—
2253C22×C4—2842no—
2254C22×C4—711no—
2255C22×C4—714no—
2256C22×C4—712no—
2257C22×C4—711no—
2258C22×C4—711no—
2259C22×C4—714no—
2260C22×C4—714no—
2261C22×C4—712no—
2262C22×C4—712no—
2263C22×C4—711no—
2264C22×C4—718no—
2265C22×C4—711no—
2266C22×C4—711no—
2267C22×C4—711no—
2268C22×C4—711no—
2269C22×C4—711no—
2270C22×C4—712no—
2271C22×C4—714no—
2272C22×C4—711no—
2273C22×C4—712no—
2274C22×C4—712no—
2275C22×C4—712no—
2276C22×C4—712no—
2277C22×C4—712no—
2278C22×C4—712no—
2279C22×C4—712no—
2280C22×C4—711no—
2281C22×C4—712no—
2282C22×C4—712no—
2283C22×C4—712no—
2284C22×C4—711no—
2285C22×C4—714no—
2286C22×C4—714no—
2287C22×C4—712no—
2288C22×C4—711no—
2289C22×C4—714no—
2290C22×C4—714no—
2291C22×C4—711no—
2292C22×C4—711no—
2293C22×C4—712no—
2294C22×C4—712no—
2295C22×C4—712no—
2296C22×C4—712no—
2297C22×C4—712no—
2298C22×C4—712no—
2299C22×C4—712no—
2300C22×C4—712no—
2301C22×C4—712no—
2302C22×C4—712no—
2303C22×C4—712no—
2304C22×C4—712no—
2305C22×C4—712no—
2306C22×C4—712no—
2307C22×C4—1428no—
2308C22×C4—1428no—
2309C22×C4—1428no—
2310C22×C4—1428no—
2311C22×C4—1428no—
2312C22×C4—1428no—
2313C22×C4—1428no—
2314C22×C4—1428no—
2315C22×C4—1428no—
2316C22×C4—1424no—
2317C22×C4—1428no—
2318C22×C4—1428no—
2319C22×C4—1428no—
2320C22×C4—14216no—
2321C22×C4—1428no—
2322C22×C4—1428no—
2323C22×C4C23×D7111yescharacteristic
2324C22×C4C23×D7114yes—
2325C22×C4C23×D7112yes—
2326C22×C4C23×D7112yes—
2327C22×C4C23×D7112yes—
2328C22×C4C23×D7112yes—
2329C22×C4C23×D7112yes—
2330C22×C4C23×D7112yes—
2331C22×C4C23×D7112yes—
2332C22×C4C23×D7111yescharacteristic
2333C22×C4C23×D7114yes—
2334C22×C4C23×D7112yes—
2335C22×C4C23×D7111yescharacteristic
2336C4⋊C4—712no—
2337C4⋊C4—712no—
2338C4⋊C4—712no—
2339C4⋊C4—714no—
2340C4⋊C4—714no—
2341C4⋊C4—714no—
2342C4⋊C4—714no—
2343C4⋊C4—714no—
2344C4⋊C4—714no—
2345C4⋊C4—712no—
2346C4⋊C4—712no—
2347C4⋊C4—712no—
2348C4⋊C4—714no—
2349C4⋊C4—712no—
2350C4⋊C4—712no—
2351C4⋊C4—714no—
2352C4⋊C4—714no—
2353C4⋊C4—714no—
2354C4⋊C4—714no—
2355C4⋊C4—712no—
2356C4⋊C4—712no—
2357C4⋊C4—714no—
2358C4⋊C4—714no—
2359C4⋊C4—714no—
2360C4⋊C4—714no—
2361C4⋊C4—714no—
2362C4⋊C4—711no—
2363C4⋊C4—711no—
2364C4⋊C4—711no—
2365C4⋊C4—712no—
2366C4⋊C4—712no—
2367C4⋊C4—714no—
2368C4⋊C4—714no—
2369C4⋊C4—711no—
2370C4⋊C4—712no—
2371C4⋊C4—712no—
2372C4⋊C4—712no—
2373C4⋊C4—714no—
2374C4⋊C4—714no—
2375C4⋊C4—712no—
2376C4⋊C4—714no—
2377C4⋊C4—714no—
2378C4⋊C4—712no—
2379C4⋊C4C23×D7111yescharacteristic
2380C4⋊C4C23×D7111yescharacteristic
2381C4⋊C4C23×D7111yescharacteristic
2382C4⋊C4C23×D7111yescharacteristic
2383C4⋊C4C23×D7112yes—
2384C4⋊C4C23×D7112yes—
2385C4⋊C4C23×D7112yes—
2386C4⋊C4C23×D7114yes—
2387C4⋊C4C23×D7114yes—
2388C4⋊C4C23×D7112yes—
2389C4⋊C4C23×D7112yes—
2390C4⋊C4C23×D7112yes—
2391C4⋊C4C23×D7114yes—
2392C4⋊C4C23×D7114yes—
2393C4⋊C4C23×D7114yes—
2394C4⋊C4C23×D7114yes—
2395C4⋊C4C23×D7112yes—
2396C22⋊C4—712no—
2397C22⋊C4—712no—
2398C22⋊C4—714no—
2399C22⋊C4—714no—
2400C22⋊C4—714no—
2401C22⋊C4—712no—
2402C22⋊C4—712no—
2403C22⋊C4—712no—
2404C22⋊C4—714no—
2405C22⋊C4—712no—
2406C22⋊C4—714no—
2407C22⋊C4—712no—
2408C22⋊C4—714no—
2409C22⋊C4—714no—
2410C22⋊C4—712no—
2411C22⋊C4—712no—
2412C22⋊C4—712no—
2413C22⋊C4—712no—
2414C22⋊C4—714no—
2415C22⋊C4—714no—
2416C22⋊C4—714no—
2417C22⋊C4—714no—
2418C22⋊C4—714no—
2419C22⋊C4—714no—
2420C22⋊C4—712no—
2421C22⋊C4—712no—
2422C22⋊C4—712no—
2423C22⋊C4—712no—
2424C22⋊C4—712no—
2425C22⋊C4—712no—
2426C22⋊C4—714no—
2427C22⋊C4—714no—
2428C22⋊C4—712no—
2429C22⋊C4—712no—
2430C22⋊C4—714no—
2431C22⋊C4—714no—
2432C22⋊C4—712no—
2433C22⋊C4—712no—
2434C22⋊C4—714no—
2435C22⋊C4—714no—
2436C22⋊C4—714no—
2437C22⋊C4—714no—
2438C22⋊C4C23×D7112yes—
2439C22⋊C4C23×D7114yes—
2440C22⋊C4C23×D7112yes—
2441C22⋊C4C23×D7114yes—
2442C22⋊C4C23×D7114yes—
2443C22⋊C4C23×D7112yes—
2444C22⋊C4C23×D7112yes—
2445C22⋊C4C23×D7112yes—
2446C22⋊C4C23×D7114yes—
2447C22⋊C4C23×D7112yes—
2448C22⋊C4C23×D7112yes—
2449C22⋊C4C23×D7114yes—
2450C22⋊C4C23×D7114yes—
2451C22⋊C4C23×D7114yes—
2452C42—712no—
2453C42—712no—
2454C42—711no—
2455C42—711no—
2456C42—714no—
2457C42—714no—
2458C42—714no—
2459C42—711no—
2460C42—714no—
2461C42—714no—
2462C42—711no—
2463C42—714no—
2464C42—712no—
2465C42—714no—
2466C42—712no—
2467C42—714no—
2468C42—712no—
2469C42—711no—
2470C42—711no—
2471C42—711no—
2472C42—711no—
2473C42—711no—
2474C42—711no—
2475C42—712no—
2476C42—712no—
2477C42—712no—
2478C42—712no—
2479C42—711no—
2480C42—711no—
2481C42—714no—
2482C42C23×D7111yescharacteristic
2483C42C23×D7111yescharacteristic
2484C42C23×D7114yes—
2485C42C23×D7114yes—
2486C42C23×D7112yes—
2487C42C23×D7112yes—
2488C42C23×D7111yescharacteristic
2489C42C23×D7112yes—
2490C42C23×D7111yescharacteristic
2491C42C23×D7114yes—
2492C23—24no—
2493C23—24no—
2494C23—42no—
2495C23—2842no—
2496C23—2842no—
2497C23—2842no—
2498C23—28432no—
2499C23—711no—
2500C23—714no—
2501C23—718no—
2502C23—711no—
2503C23—712no—
2504C23—712no—
2505C23—712no—
2506C23—1424no—
2507C23—1424no—
2508C23—1424no—
2509C23—1424no—
2510C23—1424no—
2511C23—1424no—
2512C23—1424no—
2513C23—1424no—
2514C23—1424no—
2515C23—1424no—
2516C23—1424no—
2517C23—1422no—
2518C23—1424no—
2519C23—1422no—
2520C23—1424no—
2521C23—1424no—
2522C23C24×D7112yes—
2523C23C24×D7112yes—
2524C23C24×D7111yescharacteristic
2525C23C24×D7112yes—
2526Q8—22no—
2527Q8—24no—
2528Q8—42no—
2529Q8—2844no—
2530Q8—2842no—
2531Q8—1424no—
2532Q8—1428no—
2533Q8—1422no—
2534Q8—1424no—
2535D4—24no—
2536D4—24no—
2537D4—28no—
2538D4—22no—
2539D4—22no—
2540D4—44no—
2541D4—2844no—
2542D4—2844no—
2543D4—2844no—
2544D4—718no—
2545D4—714no—
2546D4—1424no—
2547D4—1424no—
2548D4—1428no—
2549D4—1424no—
2550D4—1424no—
2551D4—1424no—
2552D4—1424no—
2553D4—1428no—
2554D4—1424no—
2555D4—1424no—
2556D4—1428no—
2557D4—1422no—
2558D4—1422no—
2559D4#41×D7114yescomplemented
2560C2×C4—24no—
2561C2×C4—28no—
2562C2×C4—24no—
2563C2×C4—24no—
2564C2×C4—24no—
2565C2×C4—24no—
2566C2×C4—22no—
2567C2×C4—24no—
2568C2×C4—24no—
2569C2×C4—42no—
2570C2×C4—44no—
2571C2×C4—41no—
2572C2×C4—2842no—
2573C2×C4—2842no—
2574C2×C4—2844no—
2575C2×C4—2841no—
2576C2×C4—2844no—
2577C2×C4—2841no—
2578C2×C4—2842no—
2579C2×C4—2844no—
2580C2×C4—2841no—
2581C2×C4—714no—
2582C2×C4—711no—
2583C2×C4—711no—
2584C2×C4—711no—
2585C2×C4—714no—
2586C2×C4—714no—
2587C2×C4—714no—
2588C2×C4—714no—
2589C2×C4—714no—
2590C2×C4—712no—
2591C2×C4—712no—
2592C2×C4—712no—
2593C2×C4—711no—
2594C2×C4—711no—
2595C2×C4—714no—
2596C2×C4—712no—
2597C2×C4—714no—
2598C2×C4—711no—
2599C2×C4—712no—
2600C2×C4—1424no—
2601C2×C4—1424no—
2602C2×C4—1424no—
2603C2×C4—1424no—
2604C2×C4—1422no—
2605C2×C4—1424no—
2606C2×C4—1424no—
2607C2×C4—1422no—
2608C2×C4—1424no—
2609C2×C4—1428no—
2610C2×C4—1422no—
2611C2×C4—1424no—
2612C2×C4—1424no—
2613C2×C4—1424no—
2614C2×C4—1424no—
2615C2×C4—1424no—
2616C2×C4—1422no—
2617C2×C4—1424no—
2618C2×C4—1428no—
2619C2×C4—1428no—
2620C2×C4—1428no—
2621C2×C4—1424no—
2622C2×C4—1424no—
2623C2×C4—1424no—
2624C2×C4—1424no—
2625C2×C4—1422no—
2626C2×C4—1424no—
2627C2×C4—1424no—
2628C2×C4—1424no—
2629C2×C4—1428no—
2630C2×C4—1424no—
2631C2×C4—1424no—
2632C2×C4—1424no—
2633C2×C4—1424no—
2634C2×C4—1422no—
2635C2×C4—1424no—
2636C2×C4—1424no—
2637C2×C4#41×D7114yescomplemented
2638C2×C4C24×D7112yes—
2639C2×C4C24×D7112yes—
2640C2×C4C24×D7112yes—
2641C2×C4C24×D7111yescharacteristic
2642C2×C4C24×D7111yescharacteristic
2643C2×C4C24×D7114yes—
2644C2×C4C24×D7112yes—
2645C2×C4C24×D7114yes—
2646C2×C4C24×D7111yescharacteristic
2647C2×C4C24×D7112yes—
2648C2×C4C24×D7111yescharacteristic
2649C2×C4C24×D7111yescharacteristic
2650C2×C4C24×D7111yescharacteristic
2651C22—22no—
2652C22—21no—
2653C22—22no—
2654C22—21no—
2655C22—22no—
2656C22—22no—
2657C22—22no—
2658C22—22no—
2659C22—22no—
2660C22—22no—
2661C22—48no—
2662C22—2848no—
2663C22—2848no—
2664C22—2848no—
2665C22—2848no—
2666C22—2848no—
2667C22—712no—
2668C22—712no—
2669C22—712no—
2670C22—712no—
2671C22—714no—
2672C22—1428no—
2673C22—14216no—
2674C22—1422no—
2675C22—1422no—
2676C22—1422no—
2677C22—1422no—
2678C22—1422no—
2679C22—1422no—
2680C22—1422no—
2681C22—1421no—
2682C22—1422no—
2683C22—1421no—
2684C22C2×#41×D7112yes—
2685C22C2×#41×D7114yes—
2686C22C25×D7111yescharacteristic
2687C4—22no—
2688C4—22no—
2689C4—22no—
2690C4—21no—
2691C4—24no—
2692C4—22no—
2693C4—21no—
2694C4—22no—
2695C4—24no—
2696C4—21no—
2697C4—712no—
2698C4—712no—
2699C4—712no—
2700C4—1422no—
2701C4—1422no—
2702C4—1422no—
2703C4—1421no—
2704C4—1424no—
2705C4—1422no—
2706C4—1421no—
2707C4—1422no—
2708C4—1424no—
2709C4—1421no—
2710C4C2×#41×D7112yes—
2711C4C2×#41×D7112yes—
2712C4C2×#41×D7112yes—
2713C2—22no—
2714C2—24no—
2715C2—42no—
2716C2—42no—
2717C2—2842no—
2718C2—2842no—
2719C2—714no—
2720C2—1422no—
2721C2—1424no—
2722C2C22×#41×D7111yescharacteristic
2723C2C22×#41×D7111yescharacteristic
2724C2#585×D7111yescharacteristic
subgroupG/H
centerC2×C4C24×D71
commutator, socle, cosocleC22×C71C26
FrattiniC22C25×D71
FittingC71×#3475C2
hypercenter#3475D71
hypocenterC71C2×#3475
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C2×C4 ◁ #3475

Complements

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

NH ≅ G/Ntype
1. #22601907C2semidirect
2. #22601906C2semidirect
3. #22601905C2semidirect
4. #22601904C2semidirect
5. #22601903C2semidirect
6. #22601902C2semidirect
7. #22601901C2semidirect
8. #22601900C2semidirect
9. #22601899C2semidirect
10. #22601898C2semidirect
11. #22601897C2semidirect
12. #22601896C2semidirect
13. #22601895C2semidirect
14. #22601894C2semidirect
15. #22601893C2semidirect
16. #22601892C2semidirect
17. #22601891C2semidirect
18. #556×D71C2semidirect
19. #555×D71C2semidirect
20. #554×D71C2semidirect
21. #553×D71C2semidirect
22. #552×D71C2semidirect
23. #552×D71C2semidirect
24. #551×D71C2semidirect
25. #547×D71C2semidirect
26. #546×D71C2semidirect
27. #533×D71C2semidirect
28. #529×D71C2semidirect
29. #529×D71C2semidirect
30. #525×D71C2semidirect
31. C4×#41×D71C2semidirect
32. C4×#41×D71C2semidirect
33. C2×C4×D4×D71C2semidirect
34. C2×#117×D71C2semidirect
35. C71×#3475C2semidirect
40. #17986723C22semidirect
41. #17986722C22semidirect
42. #17986721C22semidirect
43. #17986720C22semidirect
44. #17986719C22semidirect
45. #17986718C22semidirect
46. #17986717C22semidirect
47. #17986716C22semidirect
48. #17986715C22semidirect
49. #17986714C22semidirect
50. #17986714C22semidirect
51. #17986713C22semidirect
52. #17986713C22semidirect
53. #17986712C22semidirect
54. #17986712C22semidirect
55. #17986711C22semidirect
56. #17986710C22semidirect
57. #17986709C22semidirect
58. #17986708C22semidirect
59. #17986707C22semidirect
60. #17986706C22semidirect
61. #17986705C22semidirect
62. #17986704C22semidirect
63. #17986703C22semidirect
64. #17986702C22semidirect
65. #17986701C22semidirect
66. #17986700C22semidirect
67. #17986699C22semidirect
68. #17986698C22semidirect
69. #17986697C22semidirect
70. #17986696C22semidirect
71. #17986695C22semidirect
72. #17986694C22semidirect
73. #17986693C22semidirect
74. #17986692C22semidirect
75. #17986691C22semidirect
76. #17986691C22semidirect
77. #17986690C22semidirect
78. #17986690C22semidirect
79. #17986689C22semidirect
80. #17986689C22semidirect
81. #17986688C22semidirect
82. #17986688C22semidirect
83. #17986687C22semidirect
84. #17986687C22semidirect
85. #17986686C22semidirect
86. #17986686C22semidirect
87. #17986685C22semidirect
88. #17986685C22semidirect
89. #17986684C22semidirect
90. #17986684C22semidirect
91. #17986683C22semidirect
92. #17986683C22semidirect
93. #17986682C22semidirect
94. #17986682C22semidirect
95. #17986681C22semidirect
96. #17986681C22semidirect
97. #17986680C22semidirect
98. #17986679C22semidirect
99. #17986678C22semidirect
100. #17986678C22semidirect
101. #17986677C22semidirect
102. #17986676C22semidirect
103. #17986676C22semidirect
104. #17986675C22semidirect
105. #17986675C22semidirect
106. #17986674C22semidirect
107. #17986674C22semidirect
108. #17986673C22semidirect
109. #17986673C22semidirect
110. #17986672C22semidirect
111. #17986672C22semidirect
112. #17986654C22semidirect
113. #17986653C22semidirect
114. #17986652C22semidirect
115. #17986651C22semidirect
116. #17986650C22semidirect
117. #17986649C22semidirect
118. #17986648C22semidirect
119. #17986647C22semidirect
120. #17986646C22semidirect
121. #17986645C22semidirect
122. #17986644C22semidirect
123. #17986643C22semidirect
124. #17986642C22semidirect
125. #17986641C22semidirect
126. #17986640C22semidirect
127. #17986639C22semidirect
128. #17986638C22semidirect
129. #17986637C22semidirect
130. #17986636C22semidirect
131. #17986556C22semidirect
132. #17986555C22semidirect
133. #17986554C22semidirect
134. #17986554C22semidirect
135. #17986553C22semidirect
136. #17986553C22semidirect
137. #17986552C22semidirect
138. #17986551C22semidirect
139. #17986551C22semidirect
140. C4⋊Q8×D71C22semidirect
141. C4⋊Q8×D71C22semidirect
142. #17986536C22semidirect
143. #17986536C22semidirect
144. #17986535C22semidirect
145. #17986535C22semidirect
146. #17986534C22semidirect
147. #17986534C22semidirect
148. #17986533C22semidirect
149. #17986533C22semidirect
150. #17986532C22semidirect
151. #17986532C22semidirect
152. #17986532C22semidirect
153. #17986531C22semidirect
154. #17986531C22semidirect
155. #17986530C22semidirect
156. #17986530C22semidirect
157. #17986529C22semidirect
158. #17986529C22semidirect
159. #17986529C22semidirect
160. #17986528C22semidirect
161. #17986528C22semidirect
162. #17986527C22semidirect
163. #17986527C22semidirect
164. #17986527C22semidirect
165. #17986526C22semidirect
166. #17986526C22semidirect
167. #17986526C22semidirect
168. #126×D71C22semidirect
169. #126×D71C22semidirect
170. #126×D71C22semidirect
171. #125×D71C22semidirect
172. #125×D71C22semidirect
173. #125×D71C22semidirect
175. #124×D71C22semidirect
176. #17986512C22semidirect
177. #17986512C22semidirect
178. #17986511C22semidirect
179. #17986510C22semidirect
180. #17986509C22semidirect
181. #17986509C22semidirect
182. #17986508C22semidirect
183. #17986508C22semidirect
184. #17986507C22semidirect
185. #17986506C22semidirect
186. #17986505C22semidirect
189. #123×D71C22semidirect
190. #123×D71C22semidirect
193. C22⋊Q8×D71C22semidirect
194. C22⋊Q8×D71C22semidirect
195. C22⋊Q8×D71C22semidirect
196. C22⋊Q8×D71C22semidirect
199. #121×D71C22semidirect
200. #121×D71C22semidirect
202. #41×Dic71C22semidirect
203. #41×Dic71C22semidirect
204. C4×#11765866C22semidirect
205. C4×#11765866C22semidirect
206. C4×#11765866C22semidirect
207. C4×#11765866C22semidirect
208. C4×#11765865C22semidirect
209. C4×#11765865C22semidirect
210. C4×#11765865C22semidirect
211. C4×#11765865C22semidirect
212. #17986467C22semidirect
213. #17986467C22semidirect
214. #17986467C22semidirect
215. #17986467C22semidirect
216. C4×#11765864C22semidirect
217. C4×#11765864C22semidirect
218. C4×#11765864C22semidirect
219. C4×#11765864C22semidirect
220. C4×#11765864C22semidirect
221. C4×#11765864C22semidirect
222. C4×#11765864C22semidirect
223. C4×#11765864C22semidirect
224. C4×Q8×D71C22semidirect
225. C4×Q8×D71C22semidirect
226. C4×Q8×D71C22semidirect
227. C4×Q8×D71C22semidirect
228. C4×Q8×D71C22semidirect
229. C2×C4×D284C22semidirect
230. C2×D4×Dic71C22semidirect
231. C2×#14556090C22semidirect
232. C2×C4×C22⋊D71C22semidirect
233. C2×(C22⋊D71)⋊C4C22semidirect
243. C4×D4×D71C22semidirect
244. C4×D4×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
262. #117×D71C22semidirect
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
280. C2×C42×D71C22semidirect
281. C2×C42×D71C22semidirect
282. #556×C71C22semidirect
283. #555×C71C22semidirect
284. #554×C71C22semidirect
285. #553×C71C22semidirect
286. #552×C71C22semidirect
287. #552×C71C22semidirect
288. #551×C71C22semidirect
289. #547×C71C22semidirect
290. #546×C71C22semidirect
291. #533×C71C22semidirect
292. #529×C71C22semidirect
293. #529×C71C22semidirect
294. #525×C71C22semidirect
295. C4×#41×C71C22semidirect
296. C4×#41×C71C22semidirect
297. C2×C4×D4×C71C22semidirect
298. C2×#117×C71C22semidirect
349. #14556128C23semidirect
350. #14556128C23semidirect
351. #14556127C23semidirect
352. #14556127C23semidirect
353. #14556127C23semidirect
354. #14556127C23semidirect
355. #14556126C23semidirect
356. #14556126C23semidirect
357. #14556123C23semidirect
358. #14556123C23semidirect
359. #14556123C23semidirect
360. #14556123C23semidirect
361. #14556123C23semidirect
362. #14556123C23semidirect
363. #14556123C23semidirect
364. #14556123C23semidirect
365. #14556123C23semidirect
366. #14556122C23semidirect
367. #14556122C23semidirect
368. #14556122C23semidirect
369. #14556121C23semidirect
370. #14556121C23semidirect
371. #14556121C23semidirect
372. #14556121C23semidirect
373. #14556121C23semidirect
374. #14556121C23semidirect
375. #14556121C23semidirect
376. #14556121C23semidirect
377. #14556121C23semidirect
378. #14556120C23semidirect
379. #14556120C23semidirect
380. #14556120C23semidirect
381. #14556119C23semidirect
382. #14556119C23semidirect
383. #14556119C23semidirect
384. #14556119C23semidirect
385. #14556119C23semidirect
386. #14556119C23semidirect
387. #14556118C23semidirect
388. #14556118C23semidirect
389. #14556118C23semidirect
390. #14556118C23semidirect
391. #14556118C23semidirect
392. #14556118C23semidirect
393. #14556118C23semidirect
394. #14556118C23semidirect
396. #14556117C23semidirect
398. #14556116C23semidirect
400. #14556115C23semidirect
403. #14556114C23semidirect
404. #14556114C23semidirect
405. #14556114C23semidirect
406. #14556114C23semidirect
411. #14556113C23semidirect
412. #14556113C23semidirect
413. #14556113C23semidirect
414. #14556113C23semidirect
417. #14556112C23semidirect
418. #14556112C23semidirect
421. #14556111C23semidirect
422. #14556111C23semidirect
427. #14556110C23semidirect
428. #14556110C23semidirect
429. #14556110C23semidirect
430. #14556110C23semidirect
433. #14556109C23semidirect
434. #14556109C23semidirect
437. #14556108C23semidirect
438. #14556108C23semidirect
439. #14556108C23semidirect
440. #14556108C23semidirect
443. #14556107C23semidirect
444. #14556107C23semidirect
445. #14556107C23semidirect
446. #14556107C23semidirect
449. #14556106C23semidirect
450. #14556106C23semidirect
451. #14556106C23semidirect
452. #14556106C23semidirect
453. #14556106C23semidirect
456. #14556105C23semidirect
457. #14556105C23semidirect
458. #14556105C23semidirect
459. #14556105C23semidirect
460. #14556105C23semidirect
463. #14556104C23semidirect
464. #14556104C23semidirect
465. #14556104C23semidirect
466. #14556104C23semidirect
469. #14556103C23semidirect
470. #14556103C23semidirect
473. #14556102C23semidirect
474. #14556102C23semidirect
478. #14556101C23semidirect
479. #14556101C23semidirect
483. #14556100C23semidirect
484. #14556100C23semidirect
487. #14556099C23semidirect
488. #14556099C23semidirect
496. Q8×Dic71C23semidirect
497. Q8×Dic71C23semidirect
498. Q8×Dic71C23semidirect
499. Q8×Dic71C23semidirect
500. Q8×Dic71C23semidirect
501. C4×Dic142C23semidirect
502. C4×Dic142C23semidirect
503. C4×Dic142C23semidirect
504. C4×Dic142C23semidirect
505. C4×Dic142C23semidirect
506. C4×Dic142C23semidirect
507. C4×Dic142C23semidirect
508. C4×Dic142C23semidirect
509. C4×Dic142C23semidirect
510. C4×Dic142C23semidirect
511. #14556093C23semidirect
512. #14556093C23semidirect
513. #14556093C23semidirect
514. #14556093C23semidirect
515. #14556093C23semidirect
516. #14556093C23semidirect
517. #14556093C23semidirect
518. #14556093C23semidirect
519. #14556093C23semidirect
520. #14556093C23semidirect
530. C4×D284C23semidirect
531. C4×D284C23semidirect
532. C4×D284C23semidirect
533. C4×D284C23semidirect
534. C4×D284C23semidirect
544. D4×Dic71C23semidirect
545. D4×Dic71C23semidirect
546. D4×Dic71C23semidirect
547. D4×Dic71C23semidirect
548. D4×Dic71C23semidirect
558. #14556090C23semidirect
559. #14556090C23semidirect
560. #14556090C23semidirect
561. #14556090C23semidirect
562. #14556090C23semidirect
576. C4×C22⋊D71C23semidirect
577. C4×C22⋊D71C23semidirect
578. C4×C22⋊D71C23semidirect
579. C4×C22⋊D71C23semidirect
580. C4×C22⋊D71C23semidirect
581. C4×C22⋊D71C23semidirect
582. C4×C22⋊D71C23semidirect
583. C4×C22⋊D71C23semidirect
597. (C22⋊D71)⋊C4C23semidirect
598. (C22⋊D71)⋊C4C23semidirect
599. (C22⋊D71)⋊C4C23semidirect
600. (C22⋊D71)⋊C4C23semidirect
601. (C22⋊D71)⋊C4C23semidirect
602. (C22⋊D71)⋊C4C23semidirect
603. (C22⋊D71)⋊C4C23semidirect
604. (C22⋊D71)⋊C4C23semidirect
608. #14556087C23semidirect
609. #14556087C23semidirect
610. #14556087C23semidirect
611. #14556087C23semidirect
612. #14556087C23semidirect
613. #14556087C23semidirect
620. #14556086C23semidirect
621. #14556086C23semidirect
622. #14556086C23semidirect
623. #14556086C23semidirect
624. #14556086C23semidirect
625. #14556086C23semidirect
626. #14556086C23semidirect
627. #14556086C23semidirect
628. #14556086C23semidirect
629. #14556086C23semidirect
630. #14556086C23semidirect
631. #14556086C23semidirect
636. #14556085C23semidirect
637. #14556085C23semidirect
638. #14556085C23semidirect
639. #14556085C23semidirect
640. #14556085C23semidirect
641. #14556085C23semidirect
642. #14556085C23semidirect
643. #14556085C23semidirect
644. #14556085C23semidirect
649. #14556084C23semidirect
650. #14556084C23semidirect
651. #14556084C23semidirect
652. #14556084C23semidirect
653. #14556084C23semidirect
654. #14556084C23semidirect
655. #14556084C23semidirect
656. #14556084C23semidirect
657. #14556084C23semidirect
659. C2×C4⋊Dic71C23semidirect
660. C2×C4⋊Dic71C23semidirect
662. C2×Dic71⋊C4C23semidirect
663. C2×Dic71⋊C4C23semidirect
684. C4⋊C4×D71C23semidirect
685. C4⋊C4×D71C23semidirect
686. C4⋊C4×D71C23semidirect
687. C4⋊C4×D71C23semidirect
688. C4⋊C4×D71C23semidirect
689. C4⋊C4×D71C23semidirect
721. C2×C4×Dic71C23semidirect
722. C2×C4×Dic71C23semidirect
723. C2×C4×Dic71C23semidirect
724. C2×C4×Dic71C23semidirect
725. C2×C4×Dic71C23semidirect
726. C2×C4×Dic71C23semidirect
741. C42×D71C23semidirect
742. C42×D71C23semidirect
743. C42×D71C23semidirect
744. C42×D71C23semidirect
745. C42×D71C23semidirect
746. C42×D71C23semidirect
747. C42×D71C23semidirect
748. C42×D71C23semidirect
753. C4⋊Q8×C71C23semidirect
754. C4⋊Q8×C71C23semidirect
755. #126×C71C23semidirect
756. #126×C71C23semidirect
757. #126×C71C23semidirect
758. #125×C71C23semidirect
759. #125×C71C23semidirect
760. #125×C71C23semidirect
762. #124×C71C23semidirect
765. #123×C71C23semidirect
766. #123×C71C23semidirect
769. C22⋊Q8×C71C23semidirect
770. C22⋊Q8×C71C23semidirect
771. C22⋊Q8×C71C23semidirect
772. C22⋊Q8×C71C23semidirect
775. #121×C71C23semidirect
776. #121×C71C23semidirect
778. C4×Q8×C71C23semidirect
779. C4×Q8×C71C23semidirect
780. C4×Q8×C71C23semidirect
781. C4×Q8×C71C23semidirect
782. C4×Q8×C71C23semidirect
792. C4×D4×C71C23semidirect
793. C4×D4×C71C23semidirect
794. C4×D4×C71C23semidirect
795. C4×D4×C71C23semidirect
796. C4×D4×C71C23semidirect
800. #117×C71C23semidirect
801. #117×C71C23semidirect
802. #117×C71C23semidirect
803. #117×C71C23semidirect
804. #117×C71C23semidirect
805. #117×C71C23semidirect
807. C2×C4⋊C4×C71C23semidirect
808. C2×C4⋊C4×C71C23semidirect
812. C2×C42×C71C23semidirect
813. C2×C42×C71C23semidirect
872. D4×D71#41semidirect
905. C2×C4×D71#41semidirect
1172. D4×C71C2×#41semidirect
1185. C2×C4×C71C2×#41semidirect
1209. C22⋊D71C2×#41semidirect
1222. C2×Dic71C2×#41semidirect
1242. D284C2×#41semidirect
1280. C4×D71C2×#41semidirect
1281. C4×D71C2×#41semidirect
1362. D71#3475direct (N × H)
1380. #3475D71direct (N × H)
1398. C71C2×#3475semidirect
1411. #556C2×D71semidirect
1420. #555C2×D71semidirect
1429. #554C2×D71semidirect
1441. #553C2×D71semidirect
1464. #552C2×D71semidirect
1465. #552C2×D71semidirect
1481. #551C2×D71semidirect
1490. #547C2×D71semidirect
1502. #546C2×D71semidirect
1512. #533C2×D71semidirect
1541. #529C2×D71semidirect
1542. #529C2×D71semidirect
1562. #525C2×D71semidirect
1600. C4×#41C2×D71semidirect
1601. C4×#41C2×D71semidirect
1632. C2×C4×D4C2×D71semidirect
1653. C2×#117C2×D71semidirect
1724. C4⋊Q8C22×D71semidirect
1725. C4⋊Q8C22×D71semidirect
1747. #126C22×D71semidirect
1748. #126C22×D71semidirect
1749. #126C22×D71semidirect
1767. #125C22×D71semidirect
1768. #125C22×D71semidirect
1769. #125C22×D71semidirect
1783. #124C22×D71semidirect
1814. #123C22×D71semidirect
1815. #123C22×D71semidirect
1850. C22⋊Q8C22×D71semidirect
1851. C22⋊Q8C22×D71semidirect
1852. C22⋊Q8C22×D71semidirect
1853. C22⋊Q8C22×D71semidirect
1878. #121C22×D71semidirect
1879. #121C22×D71semidirect
1913. C4×Q8C22×D71semidirect
1914. C4×Q8C22×D71semidirect
1915. C4×Q8C22×D71semidirect
1916. C4×Q8C22×D71semidirect
1917. C4×Q8C22×D71semidirect
2011. C4×D4C22×D71semidirect
2012. C4×D4C22×D71semidirect
2013. C4×D4C22×D71semidirect
2014. C4×D4C22×D71semidirect
2015. C4×D4C22×D71semidirect
2072. #117C22×D71semidirect
2073. #117C22×D71semidirect
2074. #117C22×D71semidirect
2075. #117C22×D71semidirect
2076. #117C22×D71semidirect
2077. #117C22×D71semidirect
2111. C2×C4⋊C4C22×D71semidirect
2112. C2×C4⋊C4C22×D71semidirect
2175. C2×C42C22×D71semidirect
2176. C2×C42C22×D71semidirect
2559. D4#41×D71semidirect
2637. C2×C4#41×D71semidirect

Maximal subgroups

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

subgroupindex
#226019072
#226019062
#226019052
#226019042
#226019032
#226019022
#226019012
#226019002
#226018992
#226018982
#226018972
#226018962
#226018952
#226018942
#226018932
#226018922
#226018912
#556×D712
#555×D712
#554×D712
#553×D712
#552×D712
#551×D712
#547×D712
#546×D712
#533×D712
#529×D712
#525×D712
C4×#41×D712
C2×C4×D4×D712
C2×#117×D712
C71×#34752
C2×#347571