Finite Group Databasebeta

← #32906027

Subgroups — #32906027

Order 18176.

7210 conjugacy classes of subgroups.

The subgroup lattice has 2416 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602256C214yesmaximal, complemented
2#22602246C212yesmaximal, complemented
3#22602242C212yesmaximal, complemented
4#22602228C214yesmaximal, complemented
5#22602218C212yesmaximal, complemented
6#22602208C212yesmaximal, complemented
7#22602200C212yesmaximal, complemented
8#22602196C212yesmaximal, complemented
9#22602187C212yesmaximal, complemented
10#22602183C212yesmaximal, complemented
11#22602181C211yesmaximal, characteristic, complemented
12#22602179C211yesmaximal, characteristic, complemented
13#22602177C212yesmaximal, complemented
14#22602174C211yesmaximal, characteristic, complemented
15#22602170C212yesmaximal, complemented
16#22601934C214yesmaximal, complemented
17#22601934C212yesmaximal, complemented
18#22601930C212yesmaximal, complemented
19#22601905C212yesmaximal, complemented
20#22601895C214yesmaximal, complemented
21#22601891C212yesmaximal, complemented
22#22601726C212yesmaximal, complemented
23#22601722C212yesmaximal, complemented
24#22601666C212yesmaximal, complemented
25#22601634C212yesmaximal, complemented
26#22601632C212yesmaximal, complemented
27C2×#17986551C211yesmaximal, characteristic, complemented
28C2×#17986544C211yesmaximal, characteristic, complemented
29#22601538C212yesmaximal, complemented
30C2×C4×#11765864C211yesmaximal, characteristic, complemented
31C71×#3505C211yesmaximal, characteristic, complemented
32C22×#11765864C2211yescharacteristic
33C22×#11765864C2212yes—
34#17986733C2214yescomplemented
35#17986733C2214yescomplemented
36#17986733C2214yescomplemented
37#17986732C2214yescomplemented
38#17986732C2212yescomplemented
39#17986731C2214yescomplemented
40#17986731C2212yescomplemented
41#17986726C2212yescomplemented
42#17986726C2214yescomplemented
43#17986725C2212yescomplemented
44#17986721C2212yescomplemented
45#17986720C2212yescomplemented
46#17986720C2214yescomplemented
47#17986718C2212yescomplemented
48#17986717C2212yescomplemented
49#17986717C2214yescomplemented
50#17986716C2214yescomplemented
51#17986716C2214yescomplemented
52#17986716C2214yescomplemented
53#17986716C2214yescomplemented
54#17986713C2212yescomplemented
55#17986712C2212yescomplemented
56#17986711C2214yescomplemented
57#17986708C2212yescomplemented
58#17986705C2212yescomplemented
59#17986703C2214yescomplemented
60#17986701C2212yescomplemented
61#17986701C2214yescomplemented
62#17986700C2214yescomplemented
63#17986698C2214yescomplemented
64#17986698C2214yescomplemented
65#17986698C2214yescomplemented
66#17986698C2214yescomplemented
67#17986697C2212yescomplemented
68#17986697C2214yescomplemented
69#17986695C2212yescomplemented
70#17986695C2214yescomplemented
71#17986694C2214yescomplemented
72#17986692C2214yescomplemented
73#17986692C2214yescomplemented
74#17986692C2214yescomplemented
75#17986692C2214yescomplemented
76#17986691C2212yescomplemented
77#17986689C2212yescomplemented
78#17986686C2214yescomplemented
79#17986686C2214yescomplemented
80#17986685C2214yescomplemented
81#17986684C2212yescomplemented
82#17986682C2214yescomplemented
83#17986682C2214yescomplemented
84#17986681C2214yescomplemented
85#17986680C2214yescomplemented
86#17986678C2214yescomplemented
87#17986676C2214yescomplemented
88#17986675C2214yescomplemented
89#17986675C2214yescomplemented
90#17986673C2214yescomplemented
91#17986672C2214yescomplemented
92#17986668C2212yescomplemented
93#17986667C2212yescomplemented
94#17986667C2214yescomplemented
95#17986660C2212yescomplemented
96#17986658C2214yescomplemented
97#17986658C2212yescomplemented
98#17986655C2214yescomplemented
99#17986655C2212yescomplemented
100#17986651C2212yescomplemented
101#17986648C2212yescomplemented
102#17986647C2214yescomplemented
103#17986645C2212yescomplemented
104#17986643C2212yescomplemented
105#17986640C2212yescomplemented
106#17986639C2214yescomplemented
107#17986636C2214yescomplemented
108#17986619C2214yescomplemented
109#17986617C2214yescomplemented
110#17986615C2214yescomplemented
111#17986613C2214yescomplemented
112#17986608C2214yescomplemented
113#17986606C2214yescomplemented
114#17986601C2214yescomplemented
115#17986599C2214yescomplemented
116#17986598C2212yescomplemented
117#17986596C2212yescomplemented
118#17986594C2212yescomplemented
119#17986593C2214yescomplemented
120#17986591C2214yescomplemented
121#17986589C2212yescomplemented
122#17986587C2212yescomplemented
123#17986586C2212yescomplemented
124#17986584C2214yescomplemented
125#17986582C2214yescomplemented
126#17986576C2214yescomplemented
127#17986576C2214yescomplemented
128#17986571C2214yes—
129#17986571C2214yescomplemented
130#17986564C2214yes—
131#17986564C2214yescomplemented
132#17986561C2212yes—
133#17986558C2212yes—
134#17986558C2212yes—
135#17986555C2212yescomplemented
136#17986553C2212yescomplemented
137#17986552C2212yescomplemented
138#17986551C2212yescomplemented
139#17986551C2212yescomplemented
140#17986551C2212yescomplemented
141#17986551C2212yescomplemented
142#17986551C2212yescomplemented
143#17986551C2212yescomplemented
144#17986551C2212yescomplemented
145#17986551C2212yescomplemented
146#17986551C2212yescomplemented
147#17986548C2212yescomplemented
148#17986546C2212yescomplemented
149#17986545C2212yescomplemented
150#17986544C2212yes—
151#17986544C2212yes—
152#17986544C2212yes—
153#17986544C2212yes—
154#17986544C2212yescomplemented
155#17986544C2212yescomplemented
156#17986544C2212yescomplemented
157#17986544C2212yescomplemented
158#17986544C2212yescomplemented
159#17986544C2214yescomplemented
160#17986544C2214yescomplemented
161C2×#14556127C2211yescharacteristic, complemented
162C2×#14556127C2211yescharacteristic, complemented
163C2×#14556126C2211yescharacteristic, complemented
164C2×#14556124C2211yescharacteristic, complemented
165#17986535C2212yescomplemented
166#17986535C2212yescomplemented
167#17986535C2214yescomplemented
168#17986534C2212yescomplemented
169#17986534C2214yescomplemented
170#17986533C2212yescomplemented
171#17986532C2214yescomplemented
172#17986532C2214yescomplemented
173#17986532C2214yescomplemented
174#17986532C2214yescomplemented
175#17986530C2212yescomplemented
176#17986530C2212yescomplemented
177#17986530C2214yescomplemented
178#17986529C2214yescomplemented
179#17986529C2214yescomplemented
180#17986528C2212yescomplemented
181#17986528C2214yescomplemented
182#17986527C2214yescomplemented
183#17986526C2214yescomplemented
184#17986526C2214yescomplemented
185#17986526C2214yescomplemented
186#17986526C2214yescomplemented
187#17986526C2214yescomplemented
188C2×#14556118C2212yescomplemented
189C2×#14556114C2212yescomplemented
190#17986512C2212yescomplemented
191#17986510C2212yescomplemented
192#17986509C2212yescomplemented
193#17986508C2214yescomplemented
194#17986507C2214yes—
195#17986507C2214yescomplemented
196#17986505C2214yes—
197#17986505C2214yescomplemented
198#17986505C2214yescomplemented
199C2×#14556107C2211yescharacteristic
200C2×#14556105C2212yes—
201C2×#14556102C2211yescharacteristic
202C2×#14556100C2212yes—
203#17986478C2214yescomplemented
204#17986478C2214yescomplemented
205#17986478C2214yescomplemented
206#17986478C2214yescomplemented
207#17986476C2214yescomplemented
208#17986474C2212yes—
209#17986472C2212yes—
210#17986472C2212yes—
211#17986472C2214yescomplemented
212#41×Dic71C2212yescomplemented
213C4×#11765866C2212yescomplemented
214#17986467C2212yescomplemented
215#17986467C2214yescomplemented
216C4×#11765864C2212yes—
217C4×#11765864C2212yes—
218C4×#11765864C2212yes—
219C4×#11765864C2212yes—
220C4×#11765864C2212yescomplemented
221C4×#11765864C2212yescomplemented
222C4×#11765864C2212yescomplemented
223C4×#11765864C2212yescomplemented
224C4×#11765864C2214yescomplemented
225C4×#11765864C2214yescomplemented
226C4×#11765864C2214yescomplemented
227C4×#11765864C2214yescomplemented
228C4×#11765864C2214yescomplemented
229C4×#11765864C2212yescomplemented
230C2×Q8×Dic71C2211yescharacteristic, complemented
231C2×C4×Dic142C2211yescharacteristic, complemented
232C2×#14556093C2211yescharacteristic, complemented
233C2×#14556093C2212yescomplemented
234C2×#14556093C2211yescharacteristic, complemented
235C2×D4×Dic71C2211yescharacteristic
236C2×D4×Dic71C2211yescharacteristic, complemented
237C2×#14556090C2211yescharacteristic, complemented
238C2×C4×C22⋊D71C2211yescharacteristic
239C2×C4×C22⋊D71C2211yescharacteristic, complemented
240C2×(C22⋊D71)⋊C4C2211yescharacteristic
241C2×(C22⋊D71)⋊C4C2211yescharacteristic, complemented
242C2×(C22⋊D71)⋊C4C2212yescomplemented
243C2×#14556086C2211yescharacteristic, complemented
244C2×#14556084C2211yescharacteristic
245C2×#14556084C2212yes—
246C2×#14556084C2211yescharacteristic, complemented
247C2×#14556084C2214yescomplemented
248#117×D71C2214yescomplemented
249C22×C4×Dic71C2211yescharacteristic
250C22×C4×Dic71C2211yescharacteristic, complemented
251C2×C42×D71C2211yescharacteristic, complemented
252#553×C71C2212yescomplemented
253#553×C71C2214yescomplemented
254#552×C71C2212yescomplemented
255#551×C71C2214yescomplemented
256#548×C71C2212yescomplemented
257#546×C71C2212yescomplemented
258#539×C71C2212yescomplemented
259#538×C71C2212yescomplemented
260#534×C71C2212yes—
261#529×C71C2212yescomplemented
262#525×C71C2212yescomplemented
263C2×C22⋊Q8×C71C2211yescharacteristic
264C2×#121×C71C2211yescharacteristic
265#518×C71C2212yes—
266C2×C4×D4×C71C2211yescharacteristic
267C2×#11765866C2312yes—
268C2×#11765865C2314yes—
269C2×#11765865C2312yes—
270C2×#11765864—28no—
271C2×#11765864—216no—
272C2×#11765864C2312yes—
273C2×#11765864C2314yes—
274C2×#11765864C2312yes—
275C2×#11765864C2314yes—
276C2×#11765864C2312yes—
277C2×#11765864C2314yes—
278C2×#11765864C2312yes—
279C2×#11765864C2314yes—
280C2×#11765864C2314yes—
281C2×#11765864C2312yes—
282C22×Dic142C2312yes—
283C22×Dic142C2311yescharacteristic
284C22×Dic142C2312yes—
285C22×Dic142C2311yescharacteristic
286C22×D284C2311yescharacteristic
287C22×C22⋊D71C2311yescharacteristic
288C22×C22⋊D71C2312yes—
289C22×C22⋊D71C2312yes—
290C22×C22⋊D71C2311yescharacteristic
291C22×C22⋊D71C2312yes—
292C23×Dic71C2311yescharacteristic
293C23×Dic71C2312yes—
294C23×Dic71C2311yescharacteristic
295C23×Dic71C2311yescharacteristic
296C23×Dic71C2311yescharacteristic
297C22×C4×D71C2311yescharacteristic
298C22×C4×D71C2312yes—
299C22×C4×D71C2311yescharacteristic
300C22×C4×D71C2311yescharacteristic
301#14556127C2314yes—
302#14556127C2314yes—
303#14556127C2312yes—
304#14556127C2312yes—
305#14556127C2312yes—
306#14556127C2312yes—
307#14556127C2312yes—
308#14556127C2312yes—
309#14556127C2312yes—
310#14556127C2312yes—
311#14556126C2312yes—
312#14556126C2312yes—
313#14556126C2312yes—
314#14556126C2312yes—
315#14556124C2314yes—
316#14556124C2314yes—
317#14556124C2312yes—
318#14556124C2312yes—
319#14556124C2312yes—
320#14556124C2312yes—
321#14556123C2314yes—
322#14556123C2314yes—
323#14556123C2314yes—
324#14556123C2314yes—
325#14556123C2314yes—
326#14556123C2314yes—
327#14556123C2314yes—
328#14556123C2314yes—
329#14556123C2314yes—
330#14556122C2314yes—
331#14556122C2314yes—
332#14556122C2314yes—
333#14556121C2314yes—
334#14556121C2314yes—
335#14556121C2314yes—
336#14556121C2314yes—
337#14556121C2314yes—
338#14556121C2314yes—
339#14556121C2314yes—
340#14556121C2314yes—
341#14556121C2314yes—
342#14556120C2314yes—
343#14556120C2312yes—
344#14556119C2314yes—
345#14556119C2314yes—
346#14556119C2312yes—
347#14556119C2312yes—
348#14556118C2314yes—
349#14556118C2314yes—
350#14556118C2314yes—
351#14556118C2314yes—
352#14556118C2314yes—
353#14556118C2314yes—
354#14556118C2314yes—
355#14556118C2314yes—
356#14556118C2314yes—
357#14556118C2314yes—
358#14556117C2314yes—
359#14556117C2312yes—
360#14556116C2314yes—
361#14556116C2312yes—
362#14556115C2314yes—
363#14556115C2312yes—
364#14556114C2314yes—
365#14556114C2314yes—
366#14556114C2314yes—
367#14556114C2314yes—
368#14556114C2314yes—
369#14556114C2314yes—
370#14556114C2314yes—
371#14556114C2314yes—
372#14556114C2314yes—
373#14556114C2314yes—
374#14556114C2314yes—
375#14556114C2314yes—
376#14556114C2314yes—
377#14556114C2314yes—
378#14556113C2314yes—
379#14556113C2314yes—
380#14556113C2314yes—
381#14556113C2314yes—
382#14556113C2314yes—
383#14556113C2314yes—
384#14556112C2314yes—
385#14556112C2314yes—
386#14556112C2314yes—
387#14556112C2314yes—
388#14556112C2314yes—
389#14556111C2314yes—
390#14556111C2314yes—
391#14556111C2314yes—
392#14556111C2314yes—
393#14556111C2314yes—
394#14556110C2314yes—
395#14556110C2314yes—
396#14556110C2314yes—
397#14556110C2314yes—
398#14556110C2314yes—
399#14556110C2314yes—
400#14556109C2314yes—
401#14556109C2314yes—
402#14556109C2314yes—
403#14556109C2314yes—
404#14556109C2314yes—
405#14556108C2314yes—
406#14556108C2312yes—
407#14556107C2312yes—
408#14556107C2314yes—
409#14556107C2312yes—
410#14556107C2312yes—
411#14556107C2312yes—
412#14556107C2312yes—
413#14556106C2314yes—
414#14556106C2314yes—
415#14556106C2314yes—
416#14556106C2314yes—
417#14556106C2314yes—
418#14556106C2314yes—
419#14556106C2314yes—
420#14556105C2314yes—
421#14556105C2314yes—
422#14556105C2314yes—
423#14556105C2314yes—
424#14556105C2314yes—
425#14556105C2314yes—
426#14556105C2314yes—
427#14556105C2314yes—
428#14556105C2314yes—
429#14556105C2314yes—
430#14556105C2314yes—
431#14556104C2314yes—
432#14556104C2312yes—
433#14556103C2314yes—
434#14556103C2312yes—
435#14556102C2314yes—
436#14556102C2314yes—
437#14556102C2314yes—
438#14556102C2312yes—
439#14556102C2312yes—
440#14556102C2312yes—
441#14556102C2312yes—
442#14556102C2312yes—
443#14556101C2314yes—
444#14556101C2314yes—
445#14556101C2314yes—
446#14556101C2314yes—
447#14556101C2314yes—
448#14556101C2314yes—
449#14556101C2314yes—
450#14556100C2314yes—
451#14556100C2314yes—
452#14556100C2314yes—
453#14556100C2314yes—
454#14556100C2314yes—
455#14556100C2314yes—
456#14556100C2314yes—
457#14556100C2314yes—
458#14556100C2314yes—
459#14556100C2314yes—
460#14556100C2314yes—
461#14556100C2314yes—
462#14556100C2314yes—
463#14556100C2314yes—
464#14556100C2314yes—
465#14556099C2314yes—
466#14556099C2312yes—
467#14556098C2314yes—
468#14556098C2314yes—
469#14556097C2314yes—
470#14556097C2314yes—
471#14556096C2314yes—
472#14556096C2314yes—
473Q8×Dic71C2312yes—
474Q8×Dic71C2312yes—
475Q8×Dic71C2312yes—
476Q8×Dic71C2312yes—
477Q8×Dic71C2312yes—
478C4×Dic142C2314yes—
479C4×Dic142C2314yes—
480C4×Dic142C2314yes—
481C4×Dic142C2312yes—
482C4×Dic142C2312yes—
483C4×Dic142C2312yes—
484C4×Dic142C2312yes—
485C4×Dic142C2314yes—
486C4×Dic142C2314yes—
487C4×Dic142C2312yes—
488#14556093C2314yes—
489#14556093C2314yes—
490#14556093C2312yes—
491#14556093C2314yes—
492#14556093C2314yes—
493#14556093C2312yes—
494#14556093C2312yes—
495#14556093C2312yes—
496#14556093C2312yes—
497#14556093C2312yes—
498#14556093C2314yes—
499#14556093C2314yes—
500#14556093C2312yes—
501#14556093C2314yes—
502#14556093C2312yes—
503#14556093C2312yes—
504#14556093C2314yes—
505#14556093C2314yes—
506C4×D284C2312yes—
507C4×D284C2314yes—
508D4×Dic71C2314yes—
509D4×Dic71C2314yes—
510D4×Dic71C2312yes—
511D4×Dic71C2312yes—
512D4×Dic71C2312yes—
513D4×Dic71C2312yes—
514D4×Dic71C2314yes—
515D4×Dic71C2314yes—
516D4×Dic71C2312yes—
517D4×Dic71C2314yes—
518D4×Dic71C2312yes—
519D4×Dic71C2312yes—
520D4×Dic71C2312yes—
521D4×Dic71C2312yes—
522D4×Dic71C2314yes—
523D4×Dic71C2314yes—
524#14556090C2312yes—
525#14556090C2312yes—
526#14556090C2314yes—
527#14556090C2312yes—
528#14556090C2312yes—
529#14556090C2312yes—
530#14556090C2314yes—
531#14556090C2314yes—
532C4×C22⋊D71C2314yes—
533C4×C22⋊D71C2314yes—
534C4×C22⋊D71C2314yes—
535C4×C22⋊D71C2314yes—
536C4×C22⋊D71C2314yes—
537C4×C22⋊D71C2312yes—
538C4×C22⋊D71C2312yes—
539C4×C22⋊D71C2312yes—
540C4×C22⋊D71C2314yes—
541C4×C22⋊D71C2314yes—
542C4×C22⋊D71C2312yes—
543C4×C22⋊D71C2314yes—
544C4×C22⋊D71C2314yes—
545C4×C22⋊D71C2312yes—
546C4×C22⋊D71C2314yes—
547C4×C22⋊D71C2314yes—
548C4×C22⋊D71C2312yes—
549C4×C22⋊D71C2312yes—
550C4×C22⋊D71C2312yes—
551(C22⋊D71)⋊C4C2314yes—
552(C22⋊D71)⋊C4C2314yes—
553(C22⋊D71)⋊C4C2314yes—
554(C22⋊D71)⋊C4C2314yes—
555(C22⋊D71)⋊C4C2314yes—
556(C22⋊D71)⋊C4C2312yes—
557(C22⋊D71)⋊C4C2312yes—
558(C22⋊D71)⋊C4C2314yes—
559(C22⋊D71)⋊C4C2312yes—
560(C22⋊D71)⋊C4C2314yes—
561(C22⋊D71)⋊C4C2314yes—
562(C22⋊D71)⋊C4C2312yes—
563(C22⋊D71)⋊C4C2314yes—
564(C22⋊D71)⋊C4C2314yes—
565(C22⋊D71)⋊C4C2314yes—
566(C22⋊D71)⋊C4C2312yes—
567(C22⋊D71)⋊C4C2314yes—
568(C22⋊D71)⋊C4C2314yes—
569(C22⋊D71)⋊C4C2312yes—
570(C22⋊D71)⋊C4C2312yes—
571(C22⋊D71)⋊C4C2312yes—
572(C22⋊D71)⋊C4C2314yes—
573(C22⋊D71)⋊C4C2314yes—
574(C22⋊D71)⋊C4C2314yes—
575(C22⋊D71)⋊C4C2314yes—
576(C22⋊D71)⋊C4C2314yes—
577(C22⋊D71)⋊C4C2314yes—
578#14556087C2314yes—
579#14556087C2314yes—
580#14556087C2312yes—
581#14556086C2312yes—
582#14556086C2312yes—
583#14556086C2314yes—
584#14556086C2314yes—
585#14556086C2312yes—
586#14556086C2312yes—
587#14556086C2314yes—
588#14556086C2314yes—
589#14556086C2312yes—
590#14556086C2312yes—
591#14556085C2314yes—
592#14556085C2314yes—
593#14556085C2314yes—
594#14556085C2314yes—
595#14556085C2314yes—
596#14556084C2314yes—
597#14556084C2314yes—
598#14556084C2312yes—
599#14556084C2312yes—
600#14556084C2314yes—
601#14556084C2314yes—
602#14556084C2314yes—
603#14556084C2314yes—
604#14556084C2314yes—
605#14556084C2314yes—
606#14556084C2314yes—
607#14556084C2312yes—
608#14556084C2314yes—
609#14556084C2312yes—
610#14556084C2312yes—
611#14556084C2312yes—
612#14556084C2314yes—
613#14556084C2312yes—
614#14556084C2312yes—
615#14556084C2314yes—
616#14556084C2314yes—
617C2×C4⋊Dic71C2311yescharacteristic
618C2×C4⋊Dic71C2311yescharacteristic
619C2×C4⋊Dic71C2312yes—
620C2×C4⋊Dic71C2311yescharacteristic
621C2×Dic71⋊C4C2312yes—
622C2×Dic71⋊C4C2312yes—
623C2×Dic71⋊C4C2311yescharacteristic
624C2×Dic71⋊C4C2311yescharacteristic
625C2×Dic71⋊C4C2314yes—
626C2×Dic71⋊C4C2314yes—
627C2×Dic71⋊C4C2312yes—
628C2×Dic71⋊C4C2312yes—
629C2×Dic71⋊C4C2312yes—
630C2×Dic71⋊C4C2312yes—
631C2×Dic71⋊C4C2311yescharacteristic
632C2×Dic71⋊C4C2311yescharacteristic
633C4⋊C4×D71C2314yes—
634C4⋊C4×D71C2314yes—
635C2×C22⋊Dic71C2311yescharacteristic
636C2×C22⋊Dic71C2314yes—
637C2×C22⋊Dic71C2312yes—
638C2×C22⋊Dic71C2311yescharacteristic
639C2×C22⋊Dic71C2312yes—
640C2×(C2×D71)⋊C4C2311yescharacteristic
641C2×(C2×D71)⋊C4C2311yescharacteristic
642C2×(C2×D71)⋊C4C2312yes—
643C2×(C2×D71)⋊C4C2312yes—
644C22⋊C4×D71C2314yes—
645C22⋊C4×D71C2314yes—
646C2×C4×Dic71C2311yescharacteristic
647C2×C4×Dic71C2311yescharacteristic
648C2×C4×Dic71C2311yescharacteristic
649C2×C4×Dic71C2311yescharacteristic
650C2×C4×Dic71C2311yescharacteristic
651C2×C4×Dic71C2311yescharacteristic
652C2×C4×Dic71C2311yescharacteristic
653C2×C4×Dic71C2311yescharacteristic
654C2×C4×Dic71C2311yescharacteristic
655C2×C4×Dic71C2311yescharacteristic
656C2×C4×Dic71C2311yescharacteristic
657C2×C4×Dic71C2311yescharacteristic
658C2×C4×Dic71C2311yescharacteristic
659C2×C4×Dic71C2311yescharacteristic
660C2×C4×Dic71C2311yescharacteristic
661C2×C4×Dic71C2311yescharacteristic
662C2×C4×Dic71C2311yescharacteristic
663C2×C4×Dic71C2312yes—
664C2×C4×Dic71C2312yes—
665C2×C4×Dic71C2312yes—
666C2×C4×Dic71C2312yes—
667C2×C4×Dic71C2312yes—
668C2×C4×Dic71C2312yes—
669C2×C4×Dic71C2314yes—
670C2×C4×Dic71C2314yes—
671C42×D71C2312yes—
672C42×D71C2312yes—
673C42×D71C2312yes—
674C42×D71C2312yes—
675C42×D71C2314yes—
676C42×D71C2314yes—
677C2×#41×C71C2312yes—
678C22×Q8×C71C2311yescharacteristic
679C22×D4×C71C2311yescharacteristic
680C22×D4×C71C2312yes—
681C22×D4×C71C2311yescharacteristic
682C23×C4×C71C2311yescharacteristic
683C23×C4×C71C2311yescharacteristic
684#126×C71C2314yes—
685#126×C71C2314yes—
686#126×C71C2314yes—
687#125×C71C2314yes—
688#125×C71C2312yes—
689#124×C71C2314yes—
690#124×C71C2312yes—
691#123×C71C2314yes—
692#123×C71C2314yes—
693#123×C71C2314yes—
694#123×C71C2314yes—
695#123×C71C2314yes—
696C22⋊Q8×C71C2312yes—
697C22⋊Q8×C71C2314yes—
698C22⋊Q8×C71C2312yes—
699C22⋊Q8×C71C2312yes—
700C22⋊Q8×C71C2312yes—
701C22⋊Q8×C71C2312yes—
702#121×C71C2314yes—
703#121×C71C2314yes—
704#121×C71C2312yes—
705#121×C71C2314yes—
706#121×C71C2312yes—
707#121×C71C2312yes—
708#121×C71C2312yes—
709#121×C71C2312yes—
710#120×C71C2314yes—
711#120×C71C2314yes—
712C4×Q8×C71C2312yes—
713C4×D4×C71C2314yes—
714C4×D4×C71C2314yes—
715C4×D4×C71C2312yes—
716C4×D4×C71C2312yes—
717C4×D4×C71C2314yes—
718C4×D4×C71C2312yes—
719C4×D4×C71C2312yes—
720C4×D4×C71C2314yes—
721C4×D4×C71C2314yes—
722C4×D4×C71C2312yes—
723#117×C71C2314yes—
724#117×C71C2312yes—
725#117×C71C2314yes—
726C2×C4⋊C4×C71C2311yescharacteristic
727C2×C4⋊C4×C71C2311yescharacteristic
728C2×C4⋊C4×C71C2312yes—
729C2×C4⋊C4×C71C2311yescharacteristic
730C2×C22⋊C4×C71C2312yes—
731C2×C22⋊C4×C71C2311yescharacteristic
732C2×C22⋊C4×C71C2314yes—
733C2×C22⋊C4×C71C2311yescharacteristic
734C2×C22⋊C4×C71C2312yes—
735C2×C42×C71C2311yescharacteristic
736C23×D71C2411yescharacteristic
737C23×D71C2412yes—
738#11765866—44no—
739#11765865—48no—
740#11765865—44no—
741#11765864—28no—
742#11765864—216no—
743#11765864—28no—
744#11765864—216no—
745#11765864—28no—
746#11765864—216no—
747#11765864—28no—
748#11765864—216no—
749#11765864—44no—
750#11765864—48no—
751C2×Dic142—28no—
752C2×Dic142—24no—
753C2×Dic142—44no—
754C2×Dic142—42no—
755C2×Dic142C2412yes—
756C2×Dic142C2414yes—
757C2×Dic142C2414yes—
758C2×Dic142C2412yes—
759C2×Dic142C2414yes—
760C2×Dic142C2412yes—
761C2×Dic142C2414yes—
762C2×Dic142C2412yes—
763C2×D284—42no—
764C2×D284C2412yes—
765C2×D284C2412yes—
766C2×D284C2414yes—
767C2×D284C2414yes—
768C2×C22⋊D71—24no—
769C2×C22⋊D71—28no—
770C2×C22⋊D71—28no—
771C2×C22⋊D71—24no—
772C2×C22⋊D71—44no—
773C2×C22⋊D71C2412yes—
774C2×C22⋊D71C2414yes—
775C2×C22⋊D71C2412yes—
776C2×C22⋊D71C2412yes—
777C2×C22⋊D71C2414yes—
778C2×C22⋊D71C2414yes—
779C2×C22⋊D71C2414yes—
780C2×C22⋊D71C2412yes—
781C2×C22⋊D71C2414yes—
782C2×C22⋊D71C2414yes—
783C2×C22⋊D71C2414yes—
784C2×C22⋊D71C2414yes—
785C2×C22⋊D71C2414yes—
786C2×C22⋊D71C2414yes—
787C22×Dic71—28no—
788C22×Dic71—24no—
789C22×Dic71—42no—
790C22×Dic71—42no—
791C22×Dic71#4118yescomplemented
792C22×Dic71C2411yescharacteristic
793C22×Dic71C2411yescharacteristic
794C22×Dic71C2411yescharacteristic
795C22×Dic71C2412yes—
796C22×Dic71C2411yescharacteristic
797C22×Dic71C2412yes—
798C22×Dic71C2414yes—
799C22×Dic71C2412yes—
800C22×Dic71C2412yes—
801C22×Dic71C2414yes—
802C22×Dic71C2411yescharacteristic
803C22×Dic71C2411yescharacteristic
804C22×Dic71C2411yescharacteristic
805C22×Dic71C2411yescharacteristic
806C22×Dic71C2411yescharacteristic
807C22×Dic71C2412yes—
808C22×Dic71C2412yes—
809C22×Dic71C2412yes—
810C22×Dic71C2414yes—
811C22×Dic71C2414yes—
812C22×Dic71C2411yescharacteristic
813C22×Dic71C2411yescharacteristic
814C22×Dic71C2411yescharacteristic
815C22×Dic71C2411yescharacteristic
816C22×Dic71C2411yescharacteristic
817C22×Dic71C2411yescharacteristic
818C2×C4×D71—28no—
819C2×C4×D71—24no—
820C2×C4×D71—42no—
821C2×C4×D71—42no—
822C2×C4×D71C2412yes—
823C2×C4×D71C2414yes—
824C2×C4×D71C2412yes—
825C2×C4×D71C2414yes—
826C2×C4×D71C2412yes—
827C2×C4×D71C2412yes—
828C2×C4×D71C2412yes—
829C2×C4×D71C2412yes—
830C2×C4×D71C2414yes—
831C2×C4×D71C2414yes—
832C2×C4×D71C2414yes—
833C2×C4×D71C2414yes—
834C4⋊Dic71C2414yes—
835C4⋊Dic71C2414yes—
836C4⋊Dic71C2412yes—
837C4⋊Dic71C2412yes—
838C4⋊Dic71C2412yes—
839C4⋊Dic71C2412yes—
840C4⋊Dic71C2414yes—
841C4⋊Dic71C2412yes—
842C4⋊Dic71C2414yes—
843C4⋊Dic71C2412yes—
844C4⋊Dic71C2414yes—
845C4⋊Dic71C2414yes—
846Dic71⋊C4C2412yes—
847Dic71⋊C4C2412yes—
848Dic71⋊C4C2414yes—
849Dic71⋊C4C2414yes—
850Dic71⋊C4C2412yes—
851Dic71⋊C4C2412yes—
852Dic71⋊C4C2412yes—
853Dic71⋊C4C2412yes—
854Dic71⋊C4C2414yes—
855Dic71⋊C4C2414yes—
856Dic71⋊C4C2414yes—
857Dic71⋊C4C2414yes—
858Dic71⋊C4C2414yes—
859Dic71⋊C4C2414yes—
860Dic71⋊C4C2412yes—
861Dic71⋊C4C2412yes—
862Dic71⋊C4C2414yes—
863Dic71⋊C4C2414yes—
864Dic71⋊C4C2414yes—
865Dic71⋊C4C2414yes—
866Dic71⋊C4C2414yes—
867Dic71⋊C4C2414yes—
868Dic71⋊C4C2414yes—
869Dic71⋊C4C2414yes—
870Dic71⋊C4C2414yes—
871Dic71⋊C4C2414yes—
872Dic71⋊C4C2414yes—
873Dic71⋊C4C2414yes—
874C22⋊Dic71C2412yes—
875C22⋊Dic71C2414yes—
876C22⋊Dic71C2412yes—
877C22⋊Dic71C2414yes—
878C22⋊Dic71C2412yes—
879C22⋊Dic71C2414yes—
880C22⋊Dic71C2414yes—
881C22⋊Dic71C2412yes—
882C22⋊Dic71C2414yes—
883C22⋊Dic71C2414yes—
884C22⋊Dic71C2414yes—
885C22⋊Dic71C2414yes—
886C22⋊Dic71C2414yes—
887C22⋊Dic71C2414yes—
888(C2×D71)⋊C4C2414yes—
889(C2×D71)⋊C4C2414yes—
890(C2×D71)⋊C4C2414yes—
891(C2×D71)⋊C4C2414yes—
892(C2×D71)⋊C4C2414yes—
893(C2×D71)⋊C4C2414yes—
894(C2×D71)⋊C4C2412yes—
895(C2×D71)⋊C4C2412yes—
896(C2×D71)⋊C4C2412yes—
897(C2×D71)⋊C4C2412yes—
898(C2×D71)⋊C4C2414yes—
899(C2×D71)⋊C4C2414yes—
900(C2×D71)⋊C4C2414yes—
901(C2×D71)⋊C4C2414yes—
902(C2×D71)⋊C4C2414yes—
903(C2×D71)⋊C4C2414yes—
904(C2×D71)⋊C4C2414yes—
905(C2×D71)⋊C4C2414yes—
906(C2×D71)⋊C4C2414yes—
907(C2×D71)⋊C4C2414yes—
908C4×Dic71C2412yes—
909C4×Dic71C2412yes—
910C4×Dic71C2411yescharacteristic
911C4×Dic71C2411yescharacteristic
912C4×Dic71C2411yescharacteristic
913C4×Dic71C2411yescharacteristic
914C4×Dic71C2412yes—
915C4×Dic71C2412yes—
916C4×Dic71C2412yes—
917C4×Dic71C2414yes—
918C4×Dic71C2414yes—
919C4×Dic71C2414yes—
920C4×Dic71C2414yes—
921C4×Dic71C2411yescharacteristic
922C4×Dic71C2412yes—
923C4×Dic71C2412yes—
924C4×Dic71C2411yescharacteristic
925C4×Dic71C2411yescharacteristic
926C4×Dic71C2411yescharacteristic
927C4×Dic71C2412yes—
928C4×Dic71C2411yescharacteristic
929C4×Dic71C2411yescharacteristic
930C4×Dic71C2412yes—
931C4×Dic71C2411yescharacteristic
932C4×Dic71C2411yescharacteristic
933C4×Dic71C2411yescharacteristic
934C4×Dic71C2411yescharacteristic
935C4×Dic71C2412yes—
936C4×Dic71C2411yescharacteristic
937C4×Dic71C2411yescharacteristic
938C4×Dic71C2414yes—
939C4×Dic71C2414yes—
940C4×Dic71C2414yes—
941C4×Dic71C2414yes—
942C4×Dic71C2414yes—
943C4×Dic71C2414yes—
944C24×C71C2411yescharacteristic
945C24×C71C2412yes—
946C24×C71C2411yescharacteristic
947#41×C71—44no—
948C2×Q8×C71—42no—
949C2×Q8×C71C2412yes—
950C2×Q8×C71C2412yes—
951C2×D4×C71—24no—
952C2×D4×C71—28no—
953C2×D4×C71—42no—
954C2×D4×C71C2412yes—
955C2×D4×C71C2414yes—
956C2×D4×C71C2412yes—
957C2×D4×C71C2414yes—
958C2×D4×C71C2412yes—
959C2×D4×C71C2414yes—
960C2×D4×C71C2414yes—
961C2×D4×C71C2412yes—
962C22×C4×C71—42no—
963C22×C4×C71—42no—
964C22×C4×C71C2411yescharacteristic
965C22×C4×C71C2412yes—
966C22×C4×C71C2411yescharacteristic
967C22×C4×C71C2411yescharacteristic
968C22×C4×C71C2411yescharacteristic
969C22×C4×C71C2412yes—
970C22×C4×C71C2411yescharacteristic
971C22×C4×C71C2412yes—
972C22×C4×C71C2414yes—
973C22×C4×C71C2411yescharacteristic
974C22×C4×C71C2411yescharacteristic
975C22×C4×C71C2412yes—
976C22×C4×C71C2411yescharacteristic
977C22×C4×C71C2414yes—
978C22×C4×C71C2411yescharacteristic
979C22×C4×C71C2412yes—
980C4⋊C4×C71C2412yes—
981C4⋊C4×C71C2414yes—
982C4⋊C4×C71C2412yes—
983C4⋊C4×C71C2412yes—
984C4⋊C4×C71C2412yes—
985C4⋊C4×C71C2412yes—
986C4⋊C4×C71C2414yes—
987C4⋊C4×C71C2412yes—
988C4⋊C4×C71C2414yes—
989C4⋊C4×C71C2414yes—
990C4⋊C4×C71C2414yes—
991C4⋊C4×C71C2414yes—
992C22⋊C4×C71C2412yes—
993C22⋊C4×C71C2414yes—
994C22⋊C4×C71C2414yes—
995C22⋊C4×C71C2412yes—
996C22⋊C4×C71C2414yes—
997C22⋊C4×C71C2412yes—
998C22⋊C4×C71C2414yes—
999C22⋊C4×C71C2414yes—
1000C22⋊C4×C71C2412yes—
1001C22⋊C4×C71C2414yes—
1002C22⋊C4×C71C2414yes—
1003C22⋊C4×C71C2414yes—
1004C22⋊C4×C71C2414yes—
1005C22⋊C4×C71C2414yes—
1006C42×C71C2412yes—
1007C42×C71C2412yes—
1008C42×C71C2414yes—
1009C42×C71C2414yes—
1010C23×C71—22no—
1011C23×C71—24no—
1012C23×C71—41no—
1013C23×C71—41no—
1014C23×C71—41no—
1015C23×C71—41no—
1016C23×C71—42no—
1017C23×C71—42no—
1018C23×C71C2×#4114yes—
1019C23×C71C2512yes—
1020C23×C71C2514yes—
1021C23×C71C2511yescharacteristic
1022C23×C71C2511yescharacteristic
1023C23×C71C2511yescharacteristic
1024C22×D71—22no—
1025C22×D71—24no—
1026C22×D71—41no—
1027C22×D71—41no—
1028C22×D71—42no—
1029C22×D71—42no—
1030C22×D71C2512yes—
1031C22×D71C2514yes—
1032Q8×C71—24no—
1033Q8×C71—42no—
1034D4×C71—24no—
1035D4×C71—28no—
1036D4×C71—24no—
1037D4×C71—28no—
1038D4×C71—24no—
1039D4×C71—42no—
1040D4×C71—44no—
1041D4×C71—44no—
1042C2×C4×C71—24no—
1043C2×C4×C71—22no—
1044C2×C4×C71—22no—
1045C2×C4×C71—22no—
1046C2×C4×C71—22no—
1047C2×C4×C71—24no—
1048C2×C4×C71—41no—
1049C2×C4×C71—41no—
1050C2×C4×C71—41no—
1051C2×C4×C71—42no—
1052C2×C4×C71—41no—
1053C2×C4×C71—42no—
1054C2×C4×C71—44no—
1055C2×C4×C71—41no—
1056C2×C4×C71—42no—
1057C2×C4×C71—44no—
1058C2×C4×C71C2512yes—
1059C2×C4×C71C2512yes—
1060C2×C4×C71C2514yes—
1061C2×C4×C71C2511yescharacteristic
1062C2×C4×C71C2512yes—
1063C2×C4×C71C2514yes—
1064C2×C4×C71C2514yes—
1065C2×C4×C71C2511yescharacteristic
1066C2×C4×C71C2511yescharacteristic
1067C2×C4×C71C2511yescharacteristic
1068C22⋊D71—24no—
1069C22⋊D71—28no—
1070C22⋊D71—24no—
1071C22⋊D71—28no—
1072C22⋊D71—24no—
1073C22⋊D71—28no—
1074C22⋊D71—28no—
1075C22⋊D71—24no—
1076C22⋊D71—28no—
1077C22⋊D71—44no—
1078C22⋊D71—44no—
1079C22⋊D71—44no—
1080C22⋊D71—44no—
1081C22⋊D71—44no—
1082C2×Dic71—24no—
1083C2×Dic71—22no—
1084C2×Dic71—24no—
1085C2×Dic71—28no—
1086C2×Dic71—24no—
1087C2×Dic71—28no—
1088C2×Dic71—22no—
1089C2×Dic71—22no—
1090C2×Dic71—22no—
1091C2×Dic71—24no—
1092C2×Dic71—41no—
1093C2×Dic71—41no—
1094C2×Dic71—41no—
1095C2×Dic71—41no—
1096C2×Dic71—42no—
1097C2×Dic71—41no—
1098C2×Dic71—42no—
1099C2×Dic71—42no—
1100C2×Dic71—44no—
1101C2×Dic71—44no—
1102C2×Dic71C2×#4114yes—
1103C2×Dic71C2×#4114yes—
1104C2×Dic71C2×#4114yes—
1105C2×Dic71C2×#4114yes—
1106C2×Dic71C2×#4114yes—
1107C2×Dic71C2×#4114yes—
1108C2×Dic71C2512yes—
1109C2×Dic71C2511yescharacteristic
1110C2×Dic71C2512yes—
1111C2×Dic71C2511yescharacteristic
1112C2×Dic71C2512yes—
1113C2×Dic71C2514yes—
1114C2×Dic71C2514yes—
1115C2×Dic71C2514yes—
1116C2×Dic71C2511yescharacteristic
1117C2×Dic71C2511yescharacteristic
1118C2×Dic71C2511yescharacteristic
1119C2×Dic71C2511yescharacteristic
1120C2×Dic71C2511yescharacteristic
1121C2×Dic71C2511yescharacteristic
1122D284—24no—
1123D284—42no—
1124D284—44no—
1125D284—44no—
1126C4×D71—24no—
1127C4×D71—24no—
1128C4×D71—28no—
1129C4×D71—24no—
1130C4×D71—28no—
1131C4×D71—24no—
1132C4×D71—42no—
1133C4×D71—42no—
1134C4×D71—44no—
1135C4×D71—44no—
1136C4×D71—44no—
1137C4×D71—44no—
1138Dic142—24no—
1139Dic142—28no—
1140Dic142—24no—
1141Dic142—28no—
1142Dic142—24no—
1143Dic142—28no—
1144Dic142—42no—
1145Dic142—44no—
1146C22×C71—21no—
1147C22×C71—21no—
1148C22×C71—21no—
1149C22×C71—21no—
1150C22×C71—21no—
1151C22×C71—21no—
1152C22×C71—22no—
1153C22×C71—24no—
1154C22×C71—22no—
1155C22×C71—24no—
1156C22×C71—24no—
1157C22×C71—22no—
1158C22×C71—44no—
1159C22×C71—44no—
1160C22×C71—84no—
1161C22×C71C22×#4112yes—
1162C22×C71C22×#4112yes—
1163C22×C71C22×#4112yes—
1164C22×C71C2611yescharacteristic
1165C2×D71—22no—
1166C2×D71—24no—
1167C2×D71—22no—
1168C2×D71—22no—
1169C2×D71—24no—
1170C2×D71—24no—
1171C2×D71—44no—
1172C2×D71—84no—
1173C4×C71—24no—
1174C4×C71—22no—
1175C4×C71—24no—
1176C4×C71—21no—
1177C4×C71—22no—
1178C4×C71—21no—
1179C4×C71—22no—
1180C4×C71—24no—
1181C4×C71—21no—
1182C4×C71#58512yes—
1183Dic71—24no—
1184Dic71—22no—
1185Dic71—24no—
1186Dic71—24no—
1187Dic71—21no—
1188Dic71—22no—
1189Dic71—21no—
1190Dic71—22no—
1191Dic71—21no—
1192Dic71C22×#4112yes—
1193Dic71C22×#4112yes—
1194Dic71C22×#4112yes—
1195Dic71C22×#4112yes—
1196Dic71#58512yes—
1197#62815—711nomaximal, Sylow
1198C2×C71—22no—
1199C2×C71—22no—
1200C2×C71—22no—
1201C2×C71—42no—
1202C2×C71—44no—
1203C2×C71C23×#4111yescharacteristic
1204C2×C71C2×#58511yescharacteristic
1205C2×C71C2×#58511yescharacteristic
1206D71—42no—
1207D71—44no—
1208#3512—714no—
1209#3511—712no—
1210#3511—712no—
1211#3510—714no—
1212#3509—712no—
1213#3508—712no—
1214#3507—712no—
1215#3507—712no—
1216#3506—712no—
1217#3506—712no—
1218#3505—712no—
1219#3505—711no—
1220#3505—711no—
1221#3505—712no—
1222#3505—711no—
1223#3505D7111yescharacteristic, complemented
1224#3480—714no—
1225#3480—712no—
1226#3480—712no—
1227#3475—712no—
1228#3475—714no—
1229#3475—712no—
1230#3455—712no—
1231#3455—712no—
1232#3449—712no—
1233#3444—712no—
1234#3444—712no—
1235C2×#533—711no—
1236C2×#532—711no—
1237#3428—712no—
1238C2×C4×#41—711no—
1239C71#6281511yescharacteristic, complemented, Sylow
1240C22×#41—711no—
1241C22×#41—712no—
1242#559—714no—
1243#559—712no—
1244#559—714no—
1245#559—714no—
1246#559—714no—
1247#559—714no—
1248#559—712no—
1249#557—714no—
1250#557—712no—
1251#557—712no—
1252#556—714no—
1253#556—714no—
1254#556—714no—
1255#556—714no—
1256#556—712no—
1257#556—712no—
1258#556—714no—
1259#556—712no—
1260#556—712no—
1261#556—714no—
1262#555—714no—
1263#555—712no—
1264#555—712no—
1265#554—712no—
1266#554—714no—
1267#554—712no—
1268#553—714no—
1269#553—714no—
1270#553—714no—
1271#553—714no—
1272#553—714no—
1273#553—714no—
1274#553—712no—
1275#553—714no—
1276#553—712no—
1277#553—714no—
1278#553—714no—
1279#553—714no—
1280#553—714no—
1281#553—714no—
1282#553—712no—
1283#553—714no—
1284#553C2×D7112yescomplemented
1285#553C2×D7114yescomplemented
1286#552—714no—
1287#552—714no—
1288#552—714no—
1289#552—714no—
1290#552—712no—
1291#552—712no—
1292#552—714no—
1293#552—714no—
1294#552—712no—
1295#552C2×D7112yescomplemented
1296#551—714no—
1297#551—714no—
1298#551—714no—
1299#551—714no—
1300#551—714no—
1301#551—714no—
1302#551—714no—
1303#551C2×D7114yescomplemented
1304#550—712no—
1305#550—712no—
1306#550—714no—
1307#548—712no—
1308#548—714no—
1309#548—712no—
1310#548—714no—
1311#548—712no—
1312#548C2×D7112yescomplemented
1313#547—712no—
1314#547—714no—
1315#547—712no—
1316#546—712no—
1317#546—712no—
1318#546—714no—
1319#546—712no—
1320#546—714no—
1321#546C2×D7112yescomplemented
1322#542—714no—
1323#542—714no—
1324#542—714no—
1325#542—714no—
1326#541—714no—
1327#541—714no—
1328#540—714no—
1329#540—714no—
1330#539—714no—
1331#539—712no—
1332#539—712no—
1333#539—714no—
1334#539—712no—
1335#539C2×D7112yescomplemented
1336#538—712no—
1337#538—712no—
1338#538—714no—
1339#538—714no—
1340#538—712no—
1341#538C2×D7112yescomplemented
1342#537—714no—
1343#537—714no—
1344#536—714no—
1345#536—714no—
1346#535—714no—
1347#535—714no—
1348#534—712no—
1349#534—712no—
1350#534—712no—
1351#534C2×D7112yes—
1352#533—712no—
1353#533—712no—
1354#533—712no—
1355#533—712no—
1356#533—712no—
1357#533—712no—
1358#533—712no—
1359#533—712no—
1360#533—712no—
1361#533—712no—
1362#533—712no—
1363#533—712no—
1364#532—712no—
1365#532—712no—
1366#532—712no—
1367#532—712no—
1368#532—712no—
1369#532—712no—
1370#532—712no—
1371#532—712no—
1372#532—712no—
1373#532—712no—
1374#532—712no—
1375#532—714no—
1376#532—714no—
1377#532—712no—
1378C2×C4⋊Q8—711no—
1379C2×C4⋊Q8—711no—
1380C2×C4⋊Q8—711no—
1381C2×#127—711no—
1382#529—714no—
1383#529—714no—
1384#529—714no—
1385#529—714no—
1386#529—712no—
1387#529—714no—
1388#529—712no—
1389#529—714no—
1390#529—714no—
1391#529—714no—
1392#529—714no—
1393#529—714no—
1394#529—714no—
1395#529—712no—
1396#529—712no—
1397#529—714no—
1398#529—712no—
1399#529—712no—
1400#529—714no—
1401#529—714no—
1402#529—714no—
1403#529—714no—
1404#529—712no—
1405#529C2×D7112yescomplemented
1406C2×#125—712no—
1407C2×#124—712no—
1408#525—712no—
1409#525—714no—
1410#525—714no—
1411#525—712no—
1412#525—712no—
1413#525—714no—
1414#525—714no—
1415#525—714no—
1416#525—714no—
1417#525C2×D7112yescomplemented
1418C2×C22⋊Q8—711no—
1419C2×C22⋊Q8—712no—
1420C2×C22⋊Q8C2×D7111yescharacteristic
1421C2×#121—712no—
1422C2×#121—711no—
1423C2×#121C2×D7111yescharacteristic
1424#520—714no—
1425#520—714no—
1426#520—714no—
1427#520—714no—
1428#519—714no—
1429#518—712no—
1430#518—712no—
1431#518—712no—
1432#518—714no—
1433#518C2×D7112yes—
1434C4×#41—712no—
1435C4×#41—712no—
1436C4×#41—712no—
1437C4×#41—712no—
1438C4×#41—712no—
1439C4×#41—712no—
1440C4×#41—712no—
1441C4×#41—712no—
1442C4×#41—712no—
1443C4×#41—712no—
1444C4×#41—714no—
1445C4×#41—714no—
1446C4×#41—714no—
1447C4×#41—714no—
1448C4×#41—712no—
1449C4×#41—714no—
1450C4×#41—714no—
1451C4×#41—712no—
1452C2×C4×Q8—711no—
1453C2×C4×Q8—711no—
1454C2×C4×Q8—711no—
1455C2×C4×Q8—712no—
1456C2×C4×Q8—711no—
1457C2×C4×D4—711no—
1458C2×C4×D4—711no—
1459C2×C4×D4—711no—
1460C2×C4×D4—711no—
1461C2×C4×D4—711no—
1462C2×C4×D4—711no—
1463C2×C4×D4—711no—
1464C2×C4×D4—712no—
1465C2×C4×D4C2×D7111yescharacteristic
1466C2×#117—714no—
1467C2×#117—711no—
1468C2×#117—711no—
1469C2×#117—711no—
1470C2×#117—712no—
1471C2×#117—714no—
1472C22×C42—711no—
1473C22×C42—711no—
1474C22×C42—711no—
1475C2×#41—712no—
1476C2×#41—712no—
1477C2×#41—714no—
1478C2×#41—712no—
1479C2×#41—714no—
1480C2×#41—712no—
1481C2×#41—714no—
1482C2×#41—712no—
1483C2×#41—712no—
1484C2×#41—714no—
1485C2×#41—714no—
1486C2×#41—712no—
1487C2×#41—714no—
1488C2×#41—1428no—
1489C2×#41—14216no—
1490C2×#41C22×D7112yes—
1491C22×Q8—711no—
1492C22×Q8—712no—
1493C22×Q8—711no—
1494C22×Q8—712no—
1495C22×Q8C22×D7111yescharacteristic
1496C22×D4—712no—
1497C22×D4—711no—
1498C22×D4—711no—
1499C22×D4—712no—
1500C22×D4—712no—
1501C22×D4—711no—
1502C22×D4C22×D7111yescharacteristic
1503C22×D4C22×D7112yes—
1504C22×D4C22×D7111yescharacteristic
1505C23×C4—711no—
1506C23×C4—711no—
1507C23×C4—711no—
1508C23×C4—711no—
1509C23×C4—711no—
1510C23×C4—712no—
1511C23×C4—711no—
1512C23×C4—712no—
1513C23×C4—711no—
1514C23×C4C22×D7111yescharacteristic
1515C23×C4C22×D7111yescharacteristic
1516C4⋊Q8—712no—
1517C4⋊Q8—712no—
1518C4⋊Q8—712no—
1519C4⋊Q8—712no—
1520C4⋊Q8—712no—
1521C4⋊Q8—712no—
1522C4⋊Q8—712no—
1523C4⋊Q8—712no—
1524C4⋊Q8—712no—
1525C4⋊Q8—712no—
1526C4⋊Q8—712no—
1527C4⋊Q8—712no—
1528C4⋊Q8—714no—
1529C4⋊Q8—714no—
1530#127—712no—
1531#127—712no—
1532#127—712no—
1533#127—712no—
1534#127—714no—
1535#127—714no—
1536#126—714no—
1537#126—714no—
1538#126—714no—
1539#126—714no—
1540#126—714no—
1541#126—714no—
1542#126—714no—
1543#126—714no—
1544#126—714no—
1545#126—714no—
1546#126—714no—
1547#126—714no—
1548#126—714no—
1549#126—714no—
1550#126—714no—
1551#126—714no—
1552#126—714no—
1553#126—714no—
1554#126—714no—
1555#126—714no—
1556#126—714no—
1557#126C22×D7114yes—
1558#126C22×D7114yes—
1559#126C22×D7114yes—
1560#125—714no—
1561#125—714no—
1562#125—714no—
1563#125—714no—
1564#125—714no—
1565#125—714no—
1566#125—712no—
1567#125—712no—
1568#125—714no—
1569#125—714no—
1570#125—714no—
1571#125—714no—
1572#125—714no—
1573#125—714no—
1574#125—712no—
1575#125—714no—
1576#125C22×D7112yes—
1577#125C22×D7114yes—
1578#124—712no—
1579#124—714no—
1580#124—712no—
1581#124—714no—
1582#124—714no—
1583#124—714no—
1584#124—714no—
1585#124—714no—
1586#124—714no—
1587#124—714no—
1588#124—714no—
1589#124—714no—
1590#124—714no—
1591#124—714no—
1592#124—714no—
1593#124—714no—
1594#124—714no—
1595#124—714no—
1596#124—712no—
1597#124—714no—
1598#124C22×D7112yes—
1599#124C22×D7114yes—
1600#123—714no—
1601#123—714no—
1602#123—714no—
1603#123—714no—
1604#123—714no—
1605#123—714no—
1606#123—714no—
1607#123—714no—
1608#123—714no—
1609#123—714no—
1610#123—714no—
1611#123—714no—
1612#123—714no—
1613#123—714no—
1614#123—714no—
1615#123—714no—
1616#123—714no—
1617#123—714no—
1618#123—714no—
1619#123—714no—
1620#123—714no—
1621#123—714no—
1622#123—714no—
1623#123—714no—
1624#123—714no—
1625#123—714no—
1626#123—714no—
1627#123C22×D7114yes—
1628#123C22×D7114yes—
1629#123C22×D7114yes—
1630#123C22×D7114yes—
1631#123C22×D7114yes—
1632C22⋊Q8—712no—
1633C22⋊Q8—714no—
1634C22⋊Q8—712no—
1635C22⋊Q8—712no—
1636C22⋊Q8—712no—
1637C22⋊Q8—712no—
1638C22⋊Q8—712no—
1639C22⋊Q8—714no—
1640C22⋊Q8—714no—
1641C22⋊Q8—714no—
1642C22⋊Q8—714no—
1643C22⋊Q8—712no—
1644C22⋊Q8—714no—
1645C22⋊Q8—714no—
1646C22⋊Q8—714no—
1647C22⋊Q8—714no—
1648C22⋊Q8—714no—
1649C22⋊Q8—714no—
1650C22⋊Q8—714no—
1651C22⋊Q8—714no—
1652C22⋊Q8—714no—
1653C22⋊Q8—714no—
1654C22⋊Q8—714no—
1655C22⋊Q8—714no—
1656C22⋊Q8—714no—
1657C22⋊Q8—714no—
1658C22⋊Q8—714no—
1659C22⋊Q8—714no—
1660C22⋊Q8C22×D7112yes—
1661C22⋊Q8C22×D7112yes—
1662C22⋊Q8C22×D7112yes—
1663C22⋊Q8C22×D7112yes—
1664C22⋊Q8C22×D7112yes—
1665C22⋊Q8C22×D7114yes—
1666#121—714no—
1667#121—714no—
1668#121—714no—
1669#121—714no—
1670#121—714no—
1671#121—714no—
1672#121—712no—
1673#121—714no—
1674#121—714no—
1675#121—714no—
1676#121—714no—
1677#121—714no—
1678#121—714no—
1679#121—714no—
1680#121—714no—
1681#121—714no—
1682#121—714no—
1683#121—712no—
1684#121—712no—
1685#121—712no—
1686#121—712no—
1687#121—712no—
1688#121—714no—
1689#121—714no—
1690#121—714no—
1691#121—712no—
1692#121—714no—
1693#121—714no—
1694#121—714no—
1695#121—714no—
1696#121—714no—
1697#121—714no—
1698#121—714no—
1699#121—714no—
1700#121C22×D7112yes—
1701#121C22×D7112yes—
1702#121C22×D7112yes—
1703#121C22×D7112yes—
1704#121C22×D7112yes—
1705#121C22×D7114yes—
1706#121C22×D7114yes—
1707#121C22×D7114yes—
1708#120—714no—
1709#120—714no—
1710#120—714no—
1711#120—714no—
1712#120—714no—
1713#120—714no—
1714#120C22×D7114yes—
1715#120C22×D7114yes—
1716C4×Q8—712no—
1717C4×Q8—712no—
1718C4×Q8—712no—
1719C4×Q8—712no—
1720C4×Q8—712no—
1721C4×Q8—714no—
1722C4×Q8—712no—
1723C4×Q8—712no—
1724C4×Q8—712no—
1725C4×Q8—712no—
1726C4×Q8—712no—
1727C4×Q8—712no—
1728C4×Q8—714no—
1729C4×Q8—714no—
1730C4×Q8—712no—
1731C4×Q8—712no—
1732C4×Q8—714no—
1733C4×Q8—714no—
1734C4×Q8—714no—
1735C4×Q8—714no—
1736C4×Q8—714no—
1737C4×Q8—714no—
1738C4×Q8—712no—
1739C4×Q8—712no—
1740C4×Q8—712no—
1741C4×Q8—712no—
1742C4×Q8—712no—
1743C4×Q8—714no—
1744C4×Q8—714no—
1745C4×Q8—714no—
1746C4×Q8—714no—
1747C4×Q8—714no—
1748C4×Q8—712no—
1749C4×Q8C22×D7112yes—
1750C4×D4—712no—
1751C4×D4—712no—
1752C4×D4—712no—
1753C4×D4—712no—
1754C4×D4—712no—
1755C4×D4—712no—
1756C4×D4—712no—
1757C4×D4—712no—
1758C4×D4—714no—
1759C4×D4—714no—
1760C4×D4—714no—
1761C4×D4—714no—
1762C4×D4—714no—
1763C4×D4—714no—
1764C4×D4—714no—
1765C4×D4—712no—
1766C4×D4—712no—
1767C4×D4—712no—
1768C4×D4—712no—
1769C4×D4—712no—
1770C4×D4—712no—
1771C4×D4—712no—
1772C4×D4—712no—
1773C4×D4—712no—
1774C4×D4—714no—
1775C4×D4—714no—
1776C4×D4—714no—
1777C4×D4—714no—
1778C4×D4—714no—
1779C4×D4—714no—
1780C4×D4—714no—
1781C4×D4—714no—
1782C4×D4—714no—
1783C4×D4—714no—
1784C4×D4—714no—
1785C4×D4—712no—
1786C4×D4—712no—
1787C4×D4—712no—
1788C4×D4—712no—
1789C4×D4—714no—
1790C4×D4—714no—
1791C4×D4—714no—
1792C4×D4—712no—
1793C4×D4—714no—
1794C4×D4—712no—
1795C4×D4—712no—
1796C4×D4—712no—
1797C4×D4—712no—
1798C4×D4—712no—
1799C4×D4—712no—
1800C4×D4—712no—
1801C4×D4—712no—
1802C4×D4—714no—
1803C4×D4—714no—
1804C4×D4—714no—
1805C4×D4—714no—
1806C4×D4—714no—
1807C4×D4—714no—
1808C4×D4—714no—
1809C4×D4—714no—
1810C4×D4—714no—
1811C4×D4—714no—
1812C4×D4—714no—
1813C4×D4—714no—
1814C4×D4—714no—
1815C4×D4—714no—
1816C4×D4—714no—
1817C4×D4—714no—
1818C4×D4—714no—
1819C4×D4—714no—
1820C4×D4—714no—
1821C4×D4—712no—
1822C4×D4C22×D7112yes—
1823C4×D4C22×D7112yes—
1824C4×D4C22×D7112yes—
1825C4×D4C22×D7112yes—
1826C4×D4C22×D7114yes—
1827C4×D4C22×D7114yes—
1828C4×D4C22×D7114yes—
1829C4×D4C22×D7114yes—
1830C4×D4C22×D7114yes—
1831C4×D4C22×D7112yes—
1832#117—714no—
1833#117—712no—
1834#117—714no—
1835#117—712no—
1836#117—712no—
1837#117—714no—
1838#117—714no—
1839#117—712no—
1840#117—712no—
1841#117—712no—
1842#117—712no—
1843#117—714no—
1844#117—714no—
1845#117—712no—
1846#117—714no—
1847#117—712no—
1848#117—712no—
1849#117—712no—
1850#117—714no—
1851#117—712no—
1852#117—714no—
1853#117—714no—
1854#117—712no—
1855#117—712no—
1856#117—712no—
1857#117—714no—
1858#117—714no—
1859#117—714no—
1860#117—714no—
1861#117—714no—
1862#117—714no—
1863#117—714no—
1864#117—714no—
1865#117—714no—
1866#117—714no—
1867#117—714no—
1868#117—714no—
1869#117—714no—
1870#117—714no—
1871#117C22×D7114yes—
1872#117C22×D7112yes—
1873#117C22×D7114yes—
1874C2×C4⋊C4—711no—
1875C2×C4⋊C4—711no—
1876C2×C4⋊C4—711no—
1877C2×C4⋊C4—711no—
1878C2×C4⋊C4—711no—
1879C2×C4⋊C4—712no—
1880C2×C4⋊C4—712no—
1881C2×C4⋊C4—714no—
1882C2×C4⋊C4—714no—
1883C2×C4⋊C4—712no—
1884C2×C4⋊C4—711no—
1885C2×C4⋊C4—712no—
1886C2×C4⋊C4—712no—
1887C2×C4⋊C4—712no—
1888C2×C4⋊C4—712no—
1889C2×C4⋊C4—711no—
1890C2×C4⋊C4—714no—
1891C2×C4⋊C4—714no—
1892C2×C4⋊C4C22×D7111yescharacteristic
1893C2×C4⋊C4C22×D7111yescharacteristic
1894C2×C4⋊C4C22×D7112yes—
1895C2×C4⋊C4C22×D7111yescharacteristic
1896C2×C22⋊C4—711no—
1897C2×C22⋊C4—711no—
1898C2×C22⋊C4—712no—
1899C2×C22⋊C4—714no—
1900C2×C22⋊C4—712no—
1901C2×C22⋊C4—711no—
1902C2×C22⋊C4—711no—
1903C2×C22⋊C4—712no—
1904C2×C22⋊C4—712no—
1905C2×C22⋊C4—714no—
1906C2×C22⋊C4—714no—
1907C2×C22⋊C4C22×D7111yescharacteristic
1908C2×C22⋊C4C22×D7111yescharacteristic
1909C2×C22⋊C4C22×D7112yes—
1910C2×C22⋊C4C22×D7114yes—
1911C2×C22⋊C4C22×D7112yes—
1912C2×C42—711no—
1913C2×C42—711no—
1914C2×C42—711no—
1915C2×C42—712no—
1916C2×C42—712no—
1917C2×C42—714no—
1918C2×C42—714no—
1919C2×C42—711no—
1920C2×C42—711no—
1921C2×C42—711no—
1922C2×C42—711no—
1923C2×C42—711no—
1924C2×C42—711no—
1925C2×C42—711no—
1926C2×C42—711no—
1927C2×C42—711no—
1928C2×C42—712no—
1929C2×C42—712no—
1930C2×C42—711no—
1931C2×C42—711no—
1932C2×C42—712no—
1933C2×C42—711no—
1934C2×C42—711no—
1935C2×C42—712no—
1936C2×C42—711no—
1937C2×C42—714no—
1938C2×C42—714no—
1939C2×C42—712no—
1940C2×C42—712no—
1941C2×C42—712no—
1942C2×C42—712no—
1943C2×C42C22×D7111yescharacteristic
1944C24—712no—
1945C24—711no—
1946C24C23×D7112yes—
1947C24C23×D7111yescharacteristic
1948C24C23×D7111yescharacteristic
1949#41—44no—
1950#41—2844no—
1951#41—2848no—
1952#41—2844no—
1953#41—2848no—
1954#41—2844no—
1955#41—1428no—
1956#41—14216no—
1957#41—1428no—
1958#41—14216no—
1959#41—1428no—
1960#41—14216no—
1961#41—1428no—
1962#41—14216no—
1963C2×Q8—42no—
1964C2×Q8—2842no—
1965C2×Q8—2844no—
1966C2×Q8—714no—
1967C2×Q8—712no—
1968C2×Q8—712no—
1969C2×Q8—714no—
1970C2×Q8—714no—
1971C2×Q8—712no—
1972C2×Q8—712no—
1973C2×Q8—714no—
1974C2×Q8—1428no—
1975C2×Q8—1424no—
1976C2×Q8C23×D7112yes—
1977C2×Q8C23×D7112yes—
1978C2×D4—24no—
1979C2×D4—28no—
1980C2×D4—42no—
1981C2×D4—2842no—
1982C2×D4—2844no—
1983C2×D4—714no—
1984C2×D4—714no—
1985C2×D4—714no—
1986C2×D4—714no—
1987C2×D4—714no—
1988C2×D4—712no—
1989C2×D4—714no—
1990C2×D4—712no—
1991C2×D4—712no—
1992C2×D4—714no—
1993C2×D4—714no—
1994C2×D4—714no—
1995C2×D4—712no—
1996C2×D4—714no—
1997C2×D4—714no—
1998C2×D4—714no—
1999C2×D4—712no—
2000C2×D4—712no—
2001C2×D4—1428no—
2002C2×D4—1424no—
2003C2×D4—1424no—
2004C2×D4—1428no—
2005C2×D4C23×D7112yes—
2006C2×D4C23×D7112yes—
2007C2×D4C23×D7114yes—
2008C2×D4C23×D7112yes—
2009C2×D4C23×D7114yes—
2010C2×D4C23×D7114yes—
2011C2×D4C23×D7112yes—
2012C2×D4C23×D7114yes—
2013C22×C4—42no—
2014C22×C4—42no—
2015C22×C4—2842no—
2016C22×C4—2842no—
2017C22×C4—2842no—
2018C22×C4—2842no—
2019C22×C4—711no—
2020C22×C4—711no—
2021C22×C4—711no—
2022C22×C4—711no—
2023C22×C4—711no—
2024C22×C4—712no—
2025C22×C4—712no—
2026C22×C4—712no—
2027C22×C4—714no—
2028C22×C4—714no—
2029C22×C4—712no—
2030C22×C4—712no—
2031C22×C4—714no—
2032C22×C4—714no—
2033C22×C4—714no—
2034C22×C4—714no—
2035C22×C4—718no—
2036C22×C4—711no—
2037C22×C4—711no—
2038C22×C4—711no—
2039C22×C4—711no—
2040C22×C4—711no—
2041C22×C4—711no—
2042C22×C4—711no—
2043C22×C4—711no—
2044C22×C4—711no—
2045C22×C4—711no—
2046C22×C4—714no—
2047C22×C4—712no—
2048C22×C4—712no—
2049C22×C4—712no—
2050C22×C4—712no—
2051C22×C4—714no—
2052C22×C4—714no—
2053C22×C4—712no—
2054C22×C4—712no—
2055C22×C4—712no—
2056C22×C4—712no—
2057C22×C4—714no—
2058C22×C4—1428no—
2059C22×C4—1424no—
2060C22×C4—1428no—
2061C22×C4—1424no—
2062C22×C4C23×D7111yescharacteristic
2063C22×C4C23×D7111yescharacteristic
2064C22×C4C23×D7111yescharacteristic
2065C22×C4C23×D7112yes—
2066C22×C4C23×D7111yescharacteristic
2067C22×C4C23×D7112yes—
2068C22×C4C23×D7111yescharacteristic
2069C22×C4C23×D7111yescharacteristic
2070C22×C4C23×D7111yescharacteristic
2071C22×C4C23×D7111yescharacteristic
2072C22×C4C23×D7112yes—
2073C22×C4C23×D7111yescharacteristic
2074C22×C4C23×D7112yes—
2075C22×C4C23×D7112yes—
2076C22×C4C23×D7114yes—
2077C22×C4C23×D7114yes—
2078C4⋊C4—712no—
2079C4⋊C4—712no—
2080C4⋊C4—714no—
2081C4⋊C4—714no—
2082C4⋊C4—712no—
2083C4⋊C4—712no—
2084C4⋊C4—714no—
2085C4⋊C4—714no—
2086C4⋊C4—714no—
2087C4⋊C4—714no—
2088C4⋊C4—712no—
2089C4⋊C4—712no—
2090C4⋊C4—714no—
2091C4⋊C4—714no—
2092C4⋊C4—714no—
2093C4⋊C4—714no—
2094C4⋊C4—714no—
2095C4⋊C4—714no—
2096C4⋊C4—712no—
2097C4⋊C4—712no—
2098C4⋊C4—714no—
2099C4⋊C4—714no—
2100C4⋊C4—714no—
2101C4⋊C4—714no—
2102C4⋊C4—714no—
2103C4⋊C4—714no—
2104C4⋊C4—714no—
2105C4⋊C4—714no—
2106C4⋊C4—712no—
2107C4⋊C4—712no—
2108C4⋊C4—712no—
2109C4⋊C4—714no—
2110C4⋊C4—714no—
2111C4⋊C4—714no—
2112C4⋊C4—712no—
2113C4⋊C4—712no—
2114C4⋊C4—714no—
2115C4⋊C4—712no—
2116C4⋊C4—714no—
2117C4⋊C4—714no—
2118C4⋊C4C23×D7114yes—
2119C4⋊C4C23×D7114yes—
2120C4⋊C4C23×D7112yes—
2121C4⋊C4C23×D7112yes—
2122C4⋊C4C23×D7112yes—
2123C4⋊C4C23×D7112yes—
2124C4⋊C4C23×D7114yes—
2125C4⋊C4C23×D7112yes—
2126C4⋊C4C23×D7114yes—
2127C4⋊C4C23×D7112yes—
2128C4⋊C4C23×D7114yes—
2129C4⋊C4C23×D7114yes—
2130C22⋊C4—712no—
2131C22⋊C4—714no—
2132C22⋊C4—712no—
2133C22⋊C4—714no—
2134C22⋊C4—712no—
2135C22⋊C4—714no—
2136C22⋊C4—714no—
2137C22⋊C4—714no—
2138C22⋊C4—712no—
2139C22⋊C4—714no—
2140C22⋊C4—714no—
2141C22⋊C4—714no—
2142C22⋊C4—714no—
2143C22⋊C4—714no—
2144C22⋊C4—712no—
2145C22⋊C4—712no—
2146C22⋊C4—714no—
2147C22⋊C4—714no—
2148C22⋊C4—714no—
2149C22⋊C4—714no—
2150C22⋊C4—714no—
2151C22⋊C4—714no—
2152C22⋊C4—712no—
2153C22⋊C4—712no—
2154C22⋊C4—714no—
2155C22⋊C4—714no—
2156C22⋊C4—714no—
2157C22⋊C4—714no—
2158C22⋊C4—714no—
2159C22⋊C4—714no—
2160C22⋊C4—714no—
2161C22⋊C4—714no—
2162C22⋊C4—714no—
2163C22⋊C4—714no—
2164C22⋊C4C23×D7112yes—
2165C22⋊C4C23×D7114yes—
2166C22⋊C4C23×D7112yes—
2167C22⋊C4C23×D7114yes—
2168C22⋊C4C23×D7112yes—
2169C22⋊C4C23×D7114yes—
2170C22⋊C4C23×D7114yes—
2171C22⋊C4C23×D7112yes—
2172C22⋊C4C23×D7114yes—
2173C22⋊C4C23×D7114yes—
2174C22⋊C4C23×D7114yes—
2175C22⋊C4C23×D7114yes—
2176C22⋊C4C23×D7114yes—
2177C22⋊C4C23×D7114yes—
2178C42—712no—
2179C42—712no—
2180C42—711no—
2181C42—711no—
2182C42—711no—
2183C42—711no—
2184C42—711no—
2185C42—714no—
2186C42—714no—
2187C42—711no—
2188C42—712no—
2189C42—712no—
2190C42—712no—
2191C42—712no—
2192C42—712no—
2193C42—711no—
2194C42—711no—
2195C42—711no—
2196C42—711no—
2197C42—711no—
2198C42—711no—
2199C42—712no—
2200C42—712no—
2201C42—712no—
2202C42—711no—
2203C42—711no—
2204C42—711no—
2205C42—711no—
2206C42—714no—
2207C42—714no—
2208C42—714no—
2209C42—714no—
2210C42—714no—
2211C42—714no—
2212C42—714no—
2213C42—714no—
2214C42C23×D7112yes—
2215C42C23×D7112yes—
2216C42C23×D7114yes—
2217C42C23×D7114yes—
2218C23—22no—
2219C23—24no—
2220C23—41no—
2221C23—41no—
2222C23—41no—
2223C23—41no—
2224C23—42no—
2225C23—42no—
2226C23—2841no—
2227C23—2841no—
2228C23—2842no—
2229C23—2842no—
2230C23—714no—
2231C23—712no—
2232C23—1422no—
2233C23—1424no—
2234C23#41×D7114yes—
2235C23C24×D7114yes—
2236C23C24×D7112yes—
2237C23C24×D7111yescharacteristic
2238C23C24×D7111yescharacteristic
2239C23C24×D7111yescharacteristic
2240Q8—24no—
2241Q8—42no—
2242Q8—2844no—
2243Q8—2842no—
2244Q8—1428no—
2245Q8—1424no—
2246Q8—1428no—
2247Q8—1424no—
2248Q8—1428no—
2249Q8—1424no—
2250D4—24no—
2251D4—28no—
2252D4—24no—
2253D4—28no—
2254D4—24no—
2255D4—42no—
2256D4—44no—
2257D4—44no—
2258D4—2842no—
2259D4—2844no—
2260D4—2844no—
2261D4—2844no—
2262D4—2844no—
2263D4—2844no—
2264D4—2844no—
2265D4—2844no—
2266D4—1428no—
2267D4—1424no—
2268D4—1428no—
2269D4—1424no—
2270D4—1428no—
2271D4—1424no—
2272D4—1428no—
2273D4—1424no—
2274D4—1428no—
2275D4—1424no—
2276C2×C4—24no—
2277C2×C4—22no—
2278C2×C4—22no—
2279C2×C4—22no—
2280C2×C4—22no—
2281C2×C4—24no—
2282C2×C4—41no—
2283C2×C4—42no—
2284C2×C4—41no—
2285C2×C4—41no—
2286C2×C4—41no—
2287C2×C4—41no—
2288C2×C4—42no—
2289C2×C4—42no—
2290C2×C4—44no—
2291C2×C4—44no—
2292C2×C4—2842no—
2293C2×C4—2842no—
2294C2×C4—2844no—
2295C2×C4—2844no—
2296C2×C4—2844no—
2297C2×C4—2844no—
2298C2×C4—2841no—
2299C2×C4—2842no—
2300C2×C4—2841no—
2301C2×C4—2841no—
2302C2×C4—2841no—
2303C2×C4—2841no—
2304C2×C4—2842no—
2305C2×C4—2842no—
2306C2×C4—2844no—
2307C2×C4—2844no—
2308C2×C4—714no—
2309C2×C4—714no—
2310C2×C4—714no—
2311C2×C4—714no—
2312C2×C4—714no—
2313C2×C4—714no—
2314C2×C4—711no—
2315C2×C4—711no—
2316C2×C4—711no—
2317C2×C4—711no—
2318C2×C4—711no—
2319C2×C4—712no—
2320C2×C4—711no—
2321C2×C4—712no—
2322C2×C4—711no—
2323C2×C4—712no—
2324C2×C4—714no—
2325C2×C4—714no—
2326C2×C4—714no—
2327C2×C4—711no—
2328C2×C4—1424no—
2329C2×C4—1424no—
2330C2×C4—1428no—
2331C2×C4—1428no—
2332C2×C4—1424no—
2333C2×C4—1422no—
2334C2×C4—1422no—
2335C2×C4—1422no—
2336C2×C4—1424no—
2337C2×C4—1424no—
2338C2×C4—1428no—
2339C2×C4—1428no—
2340C2×C4—1424no—
2341C2×C4—1424no—
2342C2×C4—1422no—
2343C2×C4—1424no—
2344C2×C4C24×D7112yes—
2345C2×C4C24×D7111yescharacteristic
2346C2×C4C24×D7112yes—
2347C2×C4C24×D7111yescharacteristic
2348C2×C4C24×D7111yescharacteristic
2349C2×C4C24×D7114yes—
2350C2×C4C24×D7114yes—
2351C2×C4C24×D7112yes—
2352C2×C4C24×D7114yes—
2353C2×C4C24×D7111yescharacteristic
2354C22—21no—
2355C22—21no—
2356C22—21no—
2357C22—21no—
2358C22—21no—
2359C22—21no—
2360C22—22no—
2361C22—24no—
2362C22—24no—
2363C22—22no—
2364C22—22no—
2365C22—24no—
2366C22—44no—
2367C22—44no—
2368C22—84no—
2369C22—2844no—
2370C22—5684no—
2371C22—1422no—
2372C22—1424no—
2373C22—1424no—
2374C22—1422no—
2375C22—1424no—
2376C22—1422no—
2377C22C2×#41×D7112yes—
2378C22C2×#41×D7112yes—
2379C22C2×#41×D7112yes—
2380C22C25×D7111yescharacteristic
2381C4—24no—
2382C4—22no—
2383C4—22no—
2384C4—24no—
2385C4—21no—
2386C4—22no—
2387C4—21no—
2388C4—21no—
2389C4—24no—
2390C4—712no—
2391C4—712no—
2392C4—712no—
2393C4—712no—
2394C4—712no—
2395C4—1422no—
2396C4—1424no—
2397C4—1421no—
2398C4—1422no—
2399C4—1424no—
2400C4—1421no—
2401C4—1421no—
2402C4—1422no—
2403C4—1424no—
2404C4#1798683412yes—
2405C2—22no—
2406C2—22no—
2407C2—22no—
2408C2—42no—
2409C2—44no—
2410C2—2842no—
2411C2—2844no—
2412C2C22×#41×D7111yescharacteristic
2413C2#585×D7111yescharacteristic
2414C2C2×#1798683411yescharacteristic
subgroupG/H
center, FrattiniC22C25×D71
commutator, socle, cosocleC22×C71C26
FittingC71×#3505C2
hypercenter#3505D71
hypocenterC71#62815
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C22 ◁ #3505

Complements

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

NH ≅ G/Ntype
1. #22602256C2semidirect
2. #22602246C2semidirect
3. #22602242C2semidirect
4. #22602228C2semidirect
5. #22602218C2semidirect
6. #22602208C2semidirect
7. #22602200C2semidirect
8. #22602196C2semidirect
9. #22602187C2semidirect
10. #22602183C2semidirect
11. #22602181C2semidirect
12. #22602179C2semidirect
13. #22602177C2semidirect
14. #22602174C2semidirect
15. #22602170C2semidirect
16. #22601934C2semidirect
17. #22601934C2semidirect
18. #22601930C2semidirect
19. #22601905C2semidirect
20. #22601895C2semidirect
21. #22601891C2semidirect
22. #22601726C2semidirect
23. #22601722C2semidirect
24. #22601666C2semidirect
25. #22601634C2semidirect
26. #22601632C2semidirect
27. C2×#17986551C2semidirect
28. C2×#17986544C2semidirect
29. #22601538C2semidirect
30. C2×C4×#11765864C2semidirect
31. C71×#3505C2semidirect
34. #17986733C22semidirect
35. #17986733C22semidirect
36. #17986733C22semidirect
37. #17986732C22semidirect
38. #17986732C22semidirect
39. #17986731C22semidirect
40. #17986731C22semidirect
41. #17986726C22semidirect
42. #17986726C22semidirect
43. #17986725C22semidirect
44. #17986721C22semidirect
45. #17986720C22semidirect
46. #17986720C22semidirect
47. #17986718C22semidirect
48. #17986717C22semidirect
49. #17986717C22semidirect
50. #17986716C22semidirect
51. #17986716C22semidirect
52. #17986716C22semidirect
53. #17986716C22semidirect
54. #17986713C22semidirect
55. #17986712C22semidirect
56. #17986711C22semidirect
57. #17986708C22semidirect
58. #17986705C22semidirect
59. #17986703C22semidirect
60. #17986701C22semidirect
61. #17986701C22semidirect
62. #17986700C22semidirect
63. #17986698C22semidirect
64. #17986698C22semidirect
65. #17986698C22semidirect
66. #17986698C22semidirect
67. #17986697C22semidirect
68. #17986697C22semidirect
69. #17986695C22semidirect
70. #17986695C22semidirect
71. #17986694C22semidirect
72. #17986692C22semidirect
73. #17986692C22semidirect
74. #17986692C22semidirect
75. #17986692C22semidirect
76. #17986691C22semidirect
77. #17986689C22semidirect
78. #17986686C22semidirect
79. #17986686C22semidirect
80. #17986685C22semidirect
81. #17986684C22semidirect
82. #17986682C22semidirect
83. #17986682C22semidirect
84. #17986681C22semidirect
85. #17986680C22semidirect
86. #17986678C22semidirect
87. #17986676C22semidirect
88. #17986675C22semidirect
89. #17986675C22semidirect
90. #17986673C22semidirect
91. #17986672C22semidirect
92. #17986668C22semidirect
93. #17986667C22semidirect
94. #17986667C22semidirect
95. #17986660C22semidirect
96. #17986658C22semidirect
97. #17986658C22semidirect
98. #17986655C22semidirect
99. #17986655C22semidirect
100. #17986651C22semidirect
101. #17986648C22semidirect
102. #17986647C22semidirect
103. #17986645C22semidirect
104. #17986643C22semidirect
105. #17986640C22semidirect
106. #17986639C22semidirect
107. #17986636C22semidirect
108. #17986619C22semidirect
109. #17986617C22semidirect
110. #17986615C22semidirect
111. #17986613C22semidirect
112. #17986608C22semidirect
113. #17986606C22semidirect
114. #17986601C22semidirect
115. #17986599C22semidirect
116. #17986598C22semidirect
117. #17986596C22semidirect
118. #17986594C22semidirect
119. #17986593C22semidirect
120. #17986591C22semidirect
121. #17986589C22semidirect
122. #17986587C22semidirect
123. #17986586C22semidirect
124. #17986584C22semidirect
125. #17986582C22semidirect
126. #17986576C22semidirect
127. #17986576C22semidirect
129. #17986571C22semidirect
131. #17986564C22semidirect
135. #17986555C22semidirect
136. #17986553C22semidirect
137. #17986552C22semidirect
138. #17986551C22semidirect
139. #17986551C22semidirect
140. #17986551C22semidirect
141. #17986551C22semidirect
142. #17986551C22semidirect
143. #17986551C22semidirect
144. #17986551C22semidirect
145. #17986551C22semidirect
146. #17986551C22semidirect
147. #17986548C22semidirect
148. #17986546C22semidirect
149. #17986545C22semidirect
154. #17986544C22semidirect
155. #17986544C22semidirect
156. #17986544C22semidirect
157. #17986544C22semidirect
158. #17986544C22semidirect
159. #17986544C22semidirect
160. #17986544C22semidirect
161. C2×#14556127C22semidirect
162. C2×#14556127C22semidirect
163. C2×#14556126C22semidirect
164. C2×#14556124C22semidirect
165. #17986535C22semidirect
166. #17986535C22semidirect
167. #17986535C22semidirect
168. #17986534C22semidirect
169. #17986534C22semidirect
170. #17986533C22semidirect
171. #17986532C22semidirect
172. #17986532C22semidirect
173. #17986532C22semidirect
174. #17986532C22semidirect
175. #17986530C22semidirect
176. #17986530C22semidirect
177. #17986530C22semidirect
178. #17986529C22semidirect
179. #17986529C22semidirect
180. #17986528C22semidirect
181. #17986528C22semidirect
182. #17986527C22semidirect
183. #17986526C22semidirect
184. #17986526C22semidirect
185. #17986526C22semidirect
186. #17986526C22semidirect
187. #17986526C22semidirect
188. C2×#14556118C22semidirect
189. C2×#14556114C22semidirect
190. #17986512C22semidirect
191. #17986510C22semidirect
192. #17986509C22semidirect
193. #17986508C22semidirect
195. #17986507C22semidirect
197. #17986505C22semidirect
198. #17986505C22semidirect
203. #17986478C22semidirect
204. #17986478C22semidirect
205. #17986478C22semidirect
206. #17986478C22semidirect
207. #17986476C22semidirect
211. #17986472C22semidirect
212. #41×Dic71C22semidirect
213. C4×#11765866C22semidirect
214. #17986467C22semidirect
215. #17986467C22semidirect
220. C4×#11765864C22semidirect
221. C4×#11765864C22semidirect
222. C4×#11765864C22semidirect
223. C4×#11765864C22semidirect
224. C4×#11765864C22semidirect
225. C4×#11765864C22semidirect
226. C4×#11765864C22semidirect
227. C4×#11765864C22semidirect
228. C4×#11765864C22semidirect
229. C4×#11765864C22semidirect
230. C2×Q8×Dic71C22semidirect
231. C2×C4×Dic142C22semidirect
232. C2×#14556093C22semidirect
233. C2×#14556093C22semidirect
234. C2×#14556093C22semidirect
236. C2×D4×Dic71C22semidirect
237. C2×#14556090C22semidirect
239. C2×C4×C22⋊D71C22semidirect
241. C2×(C22⋊D71)⋊C4C22semidirect
242. C2×(C22⋊D71)⋊C4C22semidirect
243. C2×#14556086C22semidirect
246. C2×#14556084C22semidirect
247. C2×#14556084C22semidirect
248. #117×D71C22semidirect
250. C22×C4×Dic71C22semidirect
251. C2×C42×D71C22semidirect
252. #553×C71C22semidirect
253. #553×C71C22semidirect
254. #552×C71C22semidirect
255. #551×C71C22semidirect
256. #548×C71C22semidirect
257. #546×C71C22semidirect
258. #539×C71C22semidirect
259. #538×C71C22semidirect
261. #529×C71C22semidirect
262. #525×C71C22semidirect
791. C22×Dic71#41semidirect
1223. #3505D71semidirect
1239. C71#62815semidirect
1284. #553C2×D71semidirect
1285. #553C2×D71semidirect
1295. #552C2×D71semidirect
1303. #551C2×D71semidirect
1312. #548C2×D71semidirect
1321. #546C2×D71semidirect
1335. #539C2×D71semidirect
1341. #538C2×D71semidirect
1405. #529C2×D71semidirect
1417. #525C2×D71semidirect

Maximal subgroups

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

subgroupindex
#226022562
#226022462
#226022422
#226022282
#226022182
#226022082
#226022002
#226021962
#226021872
#226021832
#226021812
#226021792
#226021772
#226021742
#226021702
#226019342
#226019302
#226019052
#226018952
#226018912
#226017262
#226017222
#226016662
#226016342
#226016322
C2×#179865512
C2×#179865442
#226015382
C2×C4×#117658642
C71×#35052
#6281571