Finite Group Databasebeta

← #32904759

Subgroups — #32904759

Order 18176.

7346 conjugacy classes of subgroups.

The subgroup lattice has 2284 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602659C212yesmaximal, complemented
2#22602646C212yesmaximal, complemented
3#22602636C212yesmaximal, complemented
4#22602623C212yesmaximal, complemented
5#22602608C212yesmaximal, complemented
6#22602600C211yesmaximal, characteristic, complemented
7#22602588C211yesmaximal, characteristic, complemented
8#22602578C211yesmaximal, characteristic, complemented
9#22602558C212yesmaximal, complemented
10#22602548C214yesmaximal, complemented
11#22602523C214yesmaximal, complemented
12#22602498C214yesmaximal, complemented
13#22602493C214yesmaximal, complemented
14#22602475C214yesmaximal, complemented
15#22601947C214yesmaximal, complemented
16#22601899C212yesmaximal, complemented
17#22601893C212yesmaximal, complemented
18#22601830C212yesmaximal, complemented
19#22601827C212yesmaximal, complemented
20#22601755C214yesmaximal, complemented
21#22601748C214yesmaximal, complemented
22#22601731C211yesmaximal, characteristic, complemented
23#22601724C211yesmaximal, characteristic, complemented
24#22601668C212yesmaximal, complemented
25#525×D71C211yesmaximal, characteristic, complemented
26#525×D71C212yesmaximal, complemented
27C71×#3539C211yesmaximal, characteristic, complemented
28C2×#41×D71C2212yescomplemented
29C2×#41×D71C2211yescharacteristic, complemented
30C2×#41×D71C2212yescomplemented
31C23×C4×D71C2211yescharacteristic, complemented
32#17986752C2214yescomplemented
33#17986751C2214yescomplemented
34#17986751C2214yescomplemented
35#17986746C2214yescomplemented
36#17986746C2214yescomplemented
37#17986744C2214yescomplemented
38#17986744C2214yescomplemented
39#17986744C2214yescomplemented
40#17986744C2214yescomplemented
41#17986742C2214yescomplemented
42#17986738C2214yescomplemented
43#17986738C2214yescomplemented
44#17986737C2214yescomplemented
45#17986737C2214yescomplemented
46#17986736C2214yescomplemented
47#17986732C2214yescomplemented
48#17986720C2212yescomplemented
49#17986717C2212yescomplemented
50#17986713C2212yescomplemented
51#17986712C2212yescomplemented
52#17986707C2212yescomplemented
53#17986705C2214yescomplemented
54#17986704C2214yescomplemented
55#17986704C2212yescomplemented
56#17986702C2212yescomplemented
57#17986699C2212yescomplemented
58#17986695C2212yescomplemented
59#17986694C2214yescomplemented
60#17986694C2214yescomplemented
61#17986693C2214yescomplemented
62#17986690C2212yescomplemented
63#17986689C2212yescomplemented
64#17986687C2212yescomplemented
65#17986685C2214yescomplemented
66#17986681C2214yescomplemented
67#17986678C2214yescomplemented
68#17986678C2214yescomplemented
69#17986678C2214yescomplemented
70#17986677C2214yescomplemented
71#17986674C2214yescomplemented
72#17986674C2214yescomplemented
73#17986674C2214yescomplemented
74#17986673C2214yescomplemented
75#17986670C2212yescomplemented
76Q8×D284C2212yescomplemented
77#17986664C2212yescomplemented
78#17986659C2212yescomplemented
79#17986659C2212yescomplemented
80#17986656C2212yescomplemented
81#17986656C2212yescomplemented
82#17986654C2214yescomplemented
83#17986654C2212yescomplemented
84#17986650C2214yescomplemented
85#17986650C2212yescomplemented
86#17986649C2212yescomplemented
87#17986646C2214yescomplemented
88#17986646C2214yescomplemented
89#17986646C2214yescomplemented
90#17986646C2212yescomplemented
91#17986646C2212yescomplemented
92#17986645C2214yescomplemented
93#17986641C2214yescomplemented
94#17986641C2214yescomplemented
95#17986641C2214yescomplemented
96#17986638C2214yescomplemented
97#17986638C2214yescomplemented
98#17986638C2214yescomplemented
99#17986637C2212yescomplemented
100#17986637C2212yescomplemented
101D4×D284C2212yescomplemented
102#17986634C2214yescomplemented
103#17986634C2212yescomplemented
104#17986633C2214yescomplemented
105#17986633C2214yescomplemented
106#17986629C2214yescomplemented
107#17986624C2214yescomplemented
108#17986622C2212yescomplemented
109#17986621C2212yescomplemented
110#17986620C2214yescomplemented
111#17986617C2214yescomplemented
112#17986617C2214yescomplemented
113#17986616C2212yescomplemented
114#17986614C2214yescomplemented
115#17986614C2212yescomplemented
116#17986612C2211yescharacteristic, complemented
117#17986611C2211yescharacteristic, complemented
118#17986610C2211yescharacteristic, complemented
119#17986605C2211yescharacteristic, complemented
120#17986604C2211yescharacteristic, complemented
121#17986603C2211yescharacteristic, complemented
122#17986600C2214yescomplemented
123#17986599C2214yescomplemented
124#17986599C2214yescomplemented
125#17986597C2214yescomplemented
126#17986597C2214yescomplemented
127#17986597C2214yescomplemented
128#17986596C2214yescomplemented
129#17986595C2214yescomplemented
130#17986595C2214yescomplemented
131#17986592C2214yescomplemented
132#17986588C2214yescomplemented
133#17986588C2214yescomplemented
134#17986588C2214yescomplemented
135#17986585C2214yescomplemented
136#17986585C2214yescomplemented
137#17986585C2214yescomplemented
138#17986585C2214yescomplemented
139#17986582C2214yescomplemented
140#17986582C2214yescomplemented
141#17986581C2214yescomplemented
142#17986581C2214yescomplemented
143#17986581C2214yescomplemented
144#17986580C2212yescomplemented
145#17986578C2214yescomplemented
146#17986577C2212yescomplemented
147#17986577C2212yescomplemented
148#17986572C2214yescomplemented
149#17986572C2212yescomplemented
150#17986572C2212yescomplemented
151#17986565C2214yescomplemented
152#17986565C2214yescomplemented
153#17986565C2212yescomplemented
154#17986565C2212yescomplemented
155#17986562C2214yescomplemented
156#17986560C2214yescomplemented
157#17986560C2214yescomplemented
158#17986557C2214yescomplemented
159#17986557C2214yescomplemented
160#17986557C2214yescomplemented
161#17986555C2211yescharacteristic, complemented
162#17986555C2211yescharacteristic, complemented
163#17986550C2211yescharacteristic, complemented
164#17986547C2211yescharacteristic, complemented
165#17986547C2214yescomplemented
166#17986544C2214yescomplemented
167#17986544C2214yescomplemented
168#17986544C2214yescomplemented
169#17986534C2214yescomplemented
170#17986534C2214yescomplemented
171#17986532C2214yescomplemented
172#17986532C2214yescomplemented
173#17986532C2214yescomplemented
174#17986530C2214yescomplemented
175#17986530C2214yescomplemented
176#17986526C2214yescomplemented
177#17986526C2214yescomplemented
178#17986526C2214yescomplemented
179#17986512C2212yescomplemented
180#17986512C2212yescomplemented
181#17986512C2212yescomplemented
182#17986512C2212yescomplemented
183#17986512C2214yescomplemented
184#17986511C2211yescharacteristic
185#17986511C2212yescomplemented
186#17986510C2212yescomplemented
187#17986510C2211yescharacteristic, complemented
188#17986509C2212yescomplemented
189#17986509C2212yescomplemented
190#17986509C2212yescomplemented
191#17986509C2212yescomplemented
192#17986509C2214yescomplemented
193#17986509C2214yescomplemented
194#17986509C2214yescomplemented
195#17986508C2214yescomplemented
196#17986508C2214yescomplemented
197#17986508C2212yescomplemented
198#17986508C2212yescomplemented
199#17986507C2214yescomplemented
200#17986507C2212yescomplemented
201#17986507C2214yescomplemented
202#17986507C2214yescomplemented
203#17986506C2211yescharacteristic, complemented
204#17986506C2212yescomplemented
205#17986505C2214yescomplemented
206#17986505C2212yescomplemented
207#123×D71C2212yescomplemented
208#123×D71C2214yescomplemented
209C22⋊Q8×D71C2212yescomplemented
210C22⋊Q8×D71C2212yescomplemented
211C22⋊Q8×D71C2212yescomplemented
212#121×D71C2212yescomplemented
213#121×D71C2212yescomplemented
214#121×D71C2212yescomplemented
215#120×D71C2214yescomplemented
216#120×D71C2212yescomplemented
217C4×#11765866C2212yescomplemented
218#17986467C2214yescomplemented
219C4×#11765864C2214yescomplemented
220C4×#11765864C2212yescomplemented
221C2×#14556090C2214yescomplemented
222C4×D4×D71C2214yescomplemented
223C4×D4×D71C2212yescomplemented
224C4×D4×D71C2212yescomplemented
225C4×D4×D71C2214yescomplemented
226C4×D4×D71C2214yescomplemented
227C2×#14556086C2212yescomplemented
228#117×D71C2211yescharacteristic, complemented
229#117×D71C2212yescomplemented
230#560×C71C2214yescomplemented
231#553×C71C2212yescomplemented
232#553×C71C2214yescomplemented
233#552×C71C2212yescomplemented
234#550×C71C2212yescomplemented
235#547×C71C2212yescomplemented
236#541×C71C2211yescharacteristic, complemented
237#540×C71C2211yescharacteristic, complemented
238#540×C71C2214yescomplemented
239#539×C71C2214yescomplemented
240#537×C71C2212yescomplemented
241#525×C71C2211yescharacteristic, complemented
242#525×C71C2212yescomplemented
243C24×D71C2311yescharacteristic
244C2×#11765866C2312yes—
245C2×#11765866C2311yescharacteristic
246C2×#11765865C2311yescharacteristic
247C2×#11765865C2312yes—
248C2×#11765865C2314yes—
249C2×#11765865C2314yes—
250C2×#11765865C2314yes—
251C2×#11765865C2312yes—
252C2×#11765865C2312yescomplemented
253C2×#11765864C2312yes—
254C2×#11765864C2314yes—
255C2×#11765864C2314yes—
256C2×#11765864C2312yes—
257C2×#11765864C2311yescharacteristic
258C2×#11765864C2314yescomplemented
259#41×D71—44no—
260#41×D71—48no—
261#41×D71—48no—
262C2×Q8×D71C2311yescharacteristic
263C2×Q8×D71C2312yes—
264C2×Q8×D71C2312yescomplemented
265C22×D284C2314yes—
266C2×D4×D71C2314yes—
267C2×D4×D71C2314yes—
268C2×D4×D71C2312yes—
269C2×D4×D71C2314yes—
270C2×D4×D71C2314yes—
271C2×D4×D71C2312yes—
272C2×D4×D71C2311yescharacteristic
273C2×D4×D71C2312yes—
274C2×D4×D71C2314yes—
275C2×D4×D71C2312yes—
276C2×D4×D71C2312yescomplemented
277C23×Dic71C2311yescharacteristic
278C22×C4×D71—44no—
279C22×C4×D71C2312yes—
280C22×C4×D71C2311yescharacteristic
281C22×C4×D71C2312yes—
282C22×C4×D71C2311yescharacteristic
283C22×C4×D71C2312yes—
284C22×C4×D71C2311yescharacteristic
285C22×C4×D71C2312yes—
286C22×C4×D71C2312yes—
287C22×C4×D71C2311yescharacteristic
288C22×C4×D71C2314yes—
289C22×C4×D71C2314yescomplemented
290#14556128C2311yescharacteristic, complemented
291#14556128C2314yescomplemented
292#14556127C2314yescomplemented
293#14556127C2314yescomplemented
294#14556127C2312yescomplemented
295#14556127C2314yescomplemented
296#14556127C2312yescomplemented
297#14556125C2311yescharacteristic, complemented
298#14556124C2314yes—
299#14556124C2314yes—
300#14556124C2314yes—
301#14556123C2314yes—
302#14556123C2314yes—
303#14556123C2314yescomplemented
304#14556123C2314yescomplemented
305#14556123C2314yescomplemented
306#14556123C2314yescomplemented
307#14556123C2314yescomplemented
308#14556122C2314yescomplemented
309#14556122C2314yescomplemented
310#14556122C2314yescomplemented
311#14556121C2314yes—
312#14556121C2314yes—
313#14556121C2314yes—
314#14556121C2314yes—
315#14556121C2314yescomplemented
316#14556121C2314yescomplemented
317#14556121C2314yescomplemented
318#14556120C2311yescharacteristic, complemented
319#14556120C2311yescharacteristic, complemented
320#14556119C2314yescomplemented
321#14556119C2314yescomplemented
322#14556118C2314yescomplemented
323#14556118C2314yescomplemented
324#14556118C2314yescomplemented
325#14556118C2314yescomplemented
326#14556118C2314yescomplemented
327#14556118C2314yescomplemented
328#14556117C2312yescomplemented
329#14556116C2314yes—
330#14556116C2314yescomplemented
331#14556115C2314yes—
332#14556115C2314yes—
333#14556115C2314yes—
334#14556115C2314yescomplemented
335#14556115C2312yescomplemented
336#14556114C2314yes—
337#14556114C2314yes—
338#14556114C2314yes—
339#14556114C2314yes—
340#14556114C2314yes—
341#14556114C2314yes—
342#14556114C2314yes—
343#14556114C2314yes—
344#14556114C2314yescomplemented
345#14556114C2314yescomplemented
346#14556114C2314yescomplemented
347#14556114C2314yescomplemented
348#14556113C2314yes—
349#14556113C2314yes—
350#14556113C2314yes—
351#14556113C2314yes—
352#14556113C2314yes—
353#14556113C2312yes—
354#14556113C2314yes—
355#14556113C2312yes—
356#14556113C2314yes—
357#14556113C2314yes—
358#14556113C2314yescomplemented
359#14556113C2314yescomplemented
360#14556113C2314yescomplemented
361#14556113C2314yescomplemented
362#14556112C2312yes—
363#14556112C2314yes—
364#14556111C2314yes—
365#14556111C2314yes—
366#14556111C2312yes—
367#14556111C2314yescomplemented
368#14556111C2314yescomplemented
369#14556111C2314yescomplemented
370#14556111C2314yescomplemented
371#14556110C2314yes—
372#14556110C2314yes—
373#14556110C2314yes—
374#14556110C2314yes—
375#14556110C2314yes—
376#14556110C2314yes—
377#14556110C2314yes—
378#14556110C2312yes—
379#14556110C2312yes—
380#14556110C2314yes—
381#14556110C2314yescomplemented
382#14556110C2314yescomplemented
383#14556110C2314yescomplemented
384#14556110C2314yescomplemented
385#14556109C2314yes—
386#14556109C2314yes—
387#14556109C2314yes—
388#14556109C2312yes—
389#14556109C2314yescomplemented
390#14556109C2314yescomplemented
391#14556108C2312yes—
392#14556108C2312yes—
393#14556108C2314yes—
394#14556108C2314yes—
395#14556108C2312yes—
396#14556108C2312yescomplemented
397#14556108C2314yescomplemented
398#14556108C2314yescomplemented
399#14556108C2314yescomplemented
400#14556107C2312yes—
401#14556107C2312yes—
402#14556107C2312yes—
403#14556107C2312yescomplemented
404#14556107C2314yescomplemented
405#14556107C2314yescomplemented
406#14556107C2314yescomplemented
407#14556107C2314yescomplemented
408#14556107C2314yescomplemented
409#14556106C2314yes—
410#14556106C2314yes—
411#14556106C2314yes—
412#14556106C2314yes—
413#14556106C2314yes—
414#14556106C2314yes—
415#14556106C2312yes—
416#14556106C2312yes—
417#14556106C2314yescomplemented
418#14556106C2314yescomplemented
419#14556106C2314yescomplemented
420#14556106C2314yescomplemented
421#14556106C2314yescomplemented
422#14556105C2312yes—
423#14556105C2314yes—
424#14556105C2314yes—
425#14556105C2312yes—
426#14556105C2314yescomplemented
427#14556105C2314yescomplemented
428#14556105C2314yescomplemented
429#14556104C2312yes—
430#14556104C2312yes—
431#14556104C2312yes—
432#14556104C2314yescomplemented
433#14556104C2312yescomplemented
434#14556103C2312yes—
435#14556103C2314yes—
436#14556103C2314yes—
437#14556103C2314yes—
438#14556103C2312yes—
439#14556103C2314yes—
440#14556103C2312yes—
441#14556103C2312yescomplemented
442#14556102C2314yes—
443#14556102C2312yes—
444#14556102C2314yes—
445#14556102C2312yes—
446#14556102C2312yes—
447#14556102C2312yescomplemented
448#14556102C2314yescomplemented
449#14556102C2314yescomplemented
450#14556101C2314yes—
451#14556101C2314yes—
452#14556101C2314yes—
453#14556101C2314yes—
454#14556101C2314yes—
455#14556101C2314yes—
456#14556101C2314yes—
457#14556101C2314yes—
458#14556101C2312yes—
459#14556101C2312yes—
460#14556101C2314yescomplemented
461#14556100C2314yes—
462#14556100C2314yes—
463#14556100C2314yes—
464#14556100C2314yes—
465#14556100C2314yes—
466#14556100C2314yes—
467#14556100C2312yes—
468#14556100C2314yes—
469#14556100C2314yes—
470#14556100C2312yes—
471#14556100C2314yescomplemented
472#14556100C2314yescomplemented
473#14556100C2314yescomplemented
474#14556099C2312yes—
475#14556099C2314yes—
476#14556099C2314yes—
477#14556099C2312yes—
478#14556099C2314yes—
479#14556099C2314yes—
480#14556099C2314yes—
481#14556099C2314yes—
482#14556099C2312yes—
483#14556099C2312yescomplemented
484#14556099C2314yescomplemented
485#14556099C2314yescomplemented
486#14556098C2312yes—
487#14556098C2314yes—
488#14556098C2314yes—
489#14556098C2314yes—
490#14556098C2314yes—
491#14556098C2314yes—
492#14556098C2312yes—
493#14556098C2312yes—
494#14556098C2314yes—
495#14556098C2314yescomplemented
496#14556098C2314yescomplemented
497#14556097C2314yes—
498#14556097C2312yes—
499#14556096C2314yes—
500#14556096C2312yes—
501#14556096C2314yes—
502#14556096C2314yes—
503#14556096C2314yes—
504#14556096C2312yes—
505#14556096C2314yes—
506#14556096C2314yes—
507#14556096C2314yes—
508#14556096C2314yes—
509#14556096C2314yes—
510#14556096C2314yes—
511#14556096C2312yes—
512#14556096C2314yescomplemented
513#14556096C2314yescomplemented
514Q8×Dic71C2312yescomplemented
515C4×Dic142C2312yescomplemented
516C4×Dic142C2314yescomplemented
517#14556093C2312yescomplemented
518#14556093C2314yescomplemented
519#14556093C2314yescomplemented
520#14556093C2314yescomplemented
521C4×D284C2314yes—
522C4×D284C2314yes—
523C4×D284C2314yes—
524C4×D284C2312yes—
525C4×D284C2312yes—
526C4×D284C2314yes—
527C4×D284C2312yescomplemented
528D4×Dic71C2314yes—
529D4×Dic71C2314yes—
530D4×Dic71C2312yes—
531D4×Dic71C2312yes—
532D4×Dic71C2312yescomplemented
533D4×Dic71C2314yescomplemented
534D4×Dic71C2314yescomplemented
535#14556090C2314yes—
536#14556090C2314yes—
537#14556090C2314yes—
538#14556090C2314yes—
539#14556090C2312yes—
540#14556090C2312yes—
541#14556090C2314yes—
542#14556090C2314yes—
543#14556090C2314yescomplemented
544#14556090C2314yescomplemented
545#14556090C2312yescomplemented
546#14556090C2314yescomplemented
547#14556090C2314yescomplemented
548C4×C22⋊D71C2314yes—
549C4×C22⋊D71C2314yes—
550C4×C22⋊D71C2314yes—
551C4×C22⋊D71C2314yes—
552C4×C22⋊D71C2314yes—
553C4×C22⋊D71C2314yes—
554C4×C22⋊D71C2312yes—
555C4×C22⋊D71C2312yes—
556C4×C22⋊D71C2314yes—
557C4×C22⋊D71C2312yes—
558C4×C22⋊D71C2312yes—
559C4×C22⋊D71C2314yes—
560C4×C22⋊D71C2314yescomplemented
561(C22⋊D71)⋊C4C2314yes—
562(C22⋊D71)⋊C4C2314yes—
563(C22⋊D71)⋊C4C2314yes—
564(C22⋊D71)⋊C4C2312yes—
565(C22⋊D71)⋊C4C2312yes—
566(C22⋊D71)⋊C4C2312yes—
567(C22⋊D71)⋊C4C2314yes—
568(C22⋊D71)⋊C4C2312yes—
569(C22⋊D71)⋊C4C2314yes—
570(C22⋊D71)⋊C4C2314yes—
571(C22⋊D71)⋊C4C2314yescomplemented
572(C22⋊D71)⋊C4C2314yescomplemented
573(C22⋊D71)⋊C4C2314yescomplemented
574#14556087C2311yescharacteristic
575#14556087C2312yes—
576#14556086C2314yes—
577#14556086C2314yes—
578#14556086C2312yes—
579#14556086C2312yes—
580#14556086C2312yes—
581#14556086C2312yescomplemented
582#14556086C2312yescomplemented
583#14556086C2314yescomplemented
584#14556086C2314yescomplemented
585#14556085C2314yes—
586#14556085C2311yescharacteristic
587#14556085C2311yescharacteristic
588#14556085C2314yes—
589#14556085C2314yescomplemented
590#14556084C2314yes—
591#14556084C2312yes—
592#14556084C2314yescomplemented
593#14556084C2314yescomplemented
594#14556084C2314yescomplemented
595C2×C4⋊Dic71C2312yescomplemented
596C4⋊C4×D71C2314yes—
597C4⋊C4×D71C2312yes—
598C4⋊C4×D71C2312yes—
599C4⋊C4×D71C2312yes—
600C4⋊C4×D71C2312yes—
601C4⋊C4×D71C2314yes—
602C4⋊C4×D71C2312yes—
603C4⋊C4×D71C2314yescomplemented
604C2×(C2×D71)⋊C4C2314yes—
605C2×(C2×D71)⋊C4C2314yes—
606C2×(C2×D71)⋊C4C2314yescomplemented
607C22⋊C4×D71C2314yes—
608C22⋊C4×D71C2314yes—
609C22⋊C4×D71C2312yes—
610C22⋊C4×D71C2314yes—
611C22⋊C4×D71C2314yes—
612C22⋊C4×D71C2314yes—
613C22⋊C4×D71C2314yes—
614C22⋊C4×D71C2312yes—
615C22⋊C4×D71C2312yes—
616C22⋊C4×D71C2312yes—
617C22⋊C4×D71C2312yes—
618C22⋊C4×D71C2314yescomplemented
619C2×C4×Dic71C2314yescomplemented
620C2×C4×Dic71C2314yescomplemented
621C42×D71C2311yescharacteristic
622C42×D71C2314yes—
623C42×D71C2311yescharacteristic
624C42×D71C2314yescomplemented
625C2×#41×C71C2311yescharacteristic
626C2×#41×C71C2312yes—
627C2×#41×C71C2312yescomplemented
628C23×C4×C71C2311yescharacteristic
629C4⋊Q8×C71C2311yescharacteristic, complemented
630#127×C71C2314yes—
631#127×C71C2311yescharacteristic, complemented
632#126×C71C2314yes—
633#126×C71C2314yes—
634#126×C71C2314yescomplemented
635#125×C71C2314yescomplemented
636#125×C71C2314yescomplemented
637#125×C71C2311yescharacteristic, complemented
638#125×C71C2311yescharacteristic, complemented
639#123×C71C2314yes—
640#123×C71C2314yes—
641#123×C71C2314yes—
642#123×C71C2314yes—
643#123×C71C2312yes—
644#123×C71C2314yescomplemented
645#123×C71C2314yescomplemented
646C22⋊Q8×C71C2312yes—
647C22⋊Q8×C71C2312yes—
648C22⋊Q8×C71C2312yes—
649C22⋊Q8×C71C2314yescomplemented
650C22⋊Q8×C71C2312yescomplemented
651#121×C71C2312yes—
652#121×C71C2314yes—
653#121×C71C2314yes—
654#121×C71C2314yes—
655#121×C71C2314yes—
656#121×C71C2312yes—
657#121×C71C2312yes—
658#121×C71C2314yes—
659#121×C71C2314yes—
660#121×C71C2312yescomplemented
661#121×C71C2314yescomplemented
662#121×C71C2314yescomplemented
663#120×C71C2312yes—
664#120×C71C2314yes—
665C4×Q8×C71C2312yescomplemented
666C4×D4×C71C2314yes—
667C4×D4×C71C2312yes—
668C4×D4×C71C2312yes—
669C4×D4×C71C2314yes—
670C4×D4×C71C2314yescomplemented
671C4×D4×C71C2314yescomplemented
672C4×D4×C71C2312yescomplemented
673#117×C71C2311yescharacteristic
674#117×C71C2312yes—
675#117×C71C2314yescomplemented
676C2×C4⋊C4×C71C2312yescomplemented
677C2×C4⋊C4×C71C2314yescomplemented
678C23×D71—42no—
679C23×D71—44no—
680C23×D71C2412yes—
681C23×D71C2411yescharacteristic
682C23×D71C2411yescharacteristic
683C23×D71C2412yes—
684C23×D71C2412yes—
685C23×D71C2414yes—
686C23×D71C2414yes—
687#11765866—28no—
688#11765866—42no—
689#11765865—44no—
690#11765865—44no—
691#11765865—44no—
692#11765865—42no—
693#11765865—48no—
694#11765865—48no—
695#11765865—48no—
696#11765864—28no—
697#11765864—44no—
698#11765864—42no—
699#11765864—48no—
700#11765864—48no—
701#11765864—48no—
702C2×Dic142C2412yes—
703C2×Dic142C2414yes—
704C2×Dic142C2412yes—
705C2×Dic142C2411yescharacteristic
706C2×Dic142C2414yes—
707C2×Dic142C2414yes—
708C2×Dic142C2414yes—
709Q8×D71—44no—
710Q8×D71—44no—
711Q8×D71—42no—
712C2×D284—48no—
713C2×D284C2412yes—
714C2×D284C2414yes—
715C2×D284C2412yes—
716C2×D284C2412yes—
717C2×D284C2414yes—
718C2×D284C2412yes—
719C2×D284C2411yescharacteristic
720C2×D284C2414yes—
721C2×D284C2414yes—
722C2×D284C2414yes—
723C2×C22⋊D71C2414yes—
724C2×C22⋊D71C2414yes—
725C2×C22⋊D71C2412yes—
726C2×C22⋊D71C2412yes—
727C2×C22⋊D71C2412yes—
728C2×C22⋊D71C2412yes—
729C2×C22⋊D71C2414yes—
730C2×C22⋊D71C2412yes—
731C2×C22⋊D71C2414yes—
732C2×C22⋊D71C2414yes—
733C2×C22⋊D71C2412yes—
734C2×C22⋊D71C2412yes—
735C2×C22⋊D71C2414yes—
736C2×C22⋊D71C2414yes—
737C2×C22⋊D71C2414yes—
738C2×C22⋊D71C2414yes—
739C2×C22⋊D71C2414yes—
740C2×C22⋊D71C2414yes—
741D4×D71—44no—
742D4×D71—44no—
743D4×D71—48no—
744D4×D71—42no—
745D4×D71—44no—
746D4×D71—48no—
747D4×D71—44no—
748D4×D71—44no—
749D4×D71—48no—
750D4×D71—48no—
751D4×D71—48no—
752C22×Dic71—42no—
753C22×Dic71C2412yes—
754C22×Dic71C2411yescharacteristic
755C22×Dic71C2414yes—
756C22×Dic71C2412yes—
757C22×Dic71C2411yescharacteristic
758C22×Dic71C2412yes—
759C22×Dic71C2414yes—
760C22×Dic71C2414yes—
761C2×C4×D71—24no—
762C2×C4×D71—28no—
763C2×C4×D71—28no—
764C2×C4×D71—42no—
765C2×C4×D71—44no—
766C2×C4×D71—48no—
767C2×C4×D71—48no—
768C2×C4×D71—42no—
769C2×C4×D71—44no—
770C2×C4×D71—44no—
771C2×C4×D71—42no—
772C2×C4×D71C2412yes—
773C2×C4×D71C2412yes—
774C2×C4×D71C2411yescharacteristic
775C2×C4×D71C2411yescharacteristic
776C2×C4×D71C2412yes—
777C2×C4×D71C2411yescharacteristic
778C2×C4×D71C2412yes—
779C2×C4×D71C2414yes—
780C2×C4×D71C2412yes—
781C2×C4×D71C2412yes—
782C2×C4×D71C2414yes—
783C2×C4×D71C2412yes—
784C2×C4×D71C2412yes—
785C2×C4×D71C2412yes—
786C2×C4×D71C2414yes—
787C2×C4×D71C2414yes—
788C2×C4×D71C2414yes—
789C2×C4×D71C2414yes—
790C2×C4×D71C2412yes—
791C2×C4×D71C2414yes—
792C2×C4×D71C2412yes—
793C2×C4×D71C2414yes—
794C2×C4×D71C2414yes—
795C2×C4×D71C2411yescharacteristic
796C4⋊Dic71C2412yes—
797C4⋊Dic71C2412yes—
798C4⋊Dic71C2412yes—
799C4⋊Dic71C2412yes—
800C4⋊Dic71C2414yes—
801C4⋊Dic71C2412yes—
802C4⋊Dic71C2414yes—
803C4⋊Dic71C2414yes—
804C4⋊Dic71C2414yes—
805C4⋊Dic71C2414yes—
806C4⋊Dic71C2414yes—
807Dic71⋊C4C2414yes—
808Dic71⋊C4C2414yes—
809Dic71⋊C4C2414yes—
810Dic71⋊C4C2412yes—
811Dic71⋊C4C2412yes—
812Dic71⋊C4C2412yes—
813Dic71⋊C4C2412yes—
814Dic71⋊C4C2414yes—
815Dic71⋊C4C2414yes—
816Dic71⋊C4C2414yes—
817Dic71⋊C4C2412yes—
818Dic71⋊C4C2412yes—
819Dic71⋊C4C2414yes—
820Dic71⋊C4C2414yes—
821Dic71⋊C4C2414yes—
822Dic71⋊C4C2414yes—
823Dic71⋊C4C2414yes—
824Dic71⋊C4C2414yes—
825Dic71⋊C4C2414yes—
826Dic71⋊C4C2414yes—
827C22⋊Dic71C2414yes—
828C22⋊Dic71C2412yes—
829C22⋊Dic71C2414yes—
830C22⋊Dic71C2412yes—
831C22⋊Dic71C2414yes—
832C22⋊Dic71C2412yes—
833C22⋊Dic71C2414yes—
834C22⋊Dic71C2414yes—
835C22⋊Dic71C2412yes—
836C22⋊Dic71C2412yes—
837C22⋊Dic71C2414yes—
838C22⋊Dic71C2414yes—
839C22⋊Dic71C2414yes—
840C22⋊Dic71C2414yes—
841C22⋊Dic71C2414yes—
842(C2×D71)⋊C4C2412yes—
843(C2×D71)⋊C4C2414yes—
844(C2×D71)⋊C4C2412yes—
845(C2×D71)⋊C4C2412yes—
846(C2×D71)⋊C4C2414yes—
847(C2×D71)⋊C4C2414yes—
848(C2×D71)⋊C4C2414yes—
849(C2×D71)⋊C4C2412yes—
850(C2×D71)⋊C4C2414yes—
851(C2×D71)⋊C4C2412yes—
852(C2×D71)⋊C4C2412yes—
853(C2×D71)⋊C4C2412yes—
854(C2×D71)⋊C4C2412yes—
855(C2×D71)⋊C4C2414yes—
856(C2×D71)⋊C4C2412yes—
857(C2×D71)⋊C4C2414yes—
858(C2×D71)⋊C4C2412yes—
859(C2×D71)⋊C4C2414yes—
860(C2×D71)⋊C4C2414yes—
861(C2×D71)⋊C4C2414yes—
862(C2×D71)⋊C4C2414yes—
863(C2×D71)⋊C4C2414yes—
864(C2×D71)⋊C4C2414yes—
865(C2×D71)⋊C4C2414yes—
866(C2×D71)⋊C4C2414yes—
867(C2×D71)⋊C4C2414yes—
868(C2×D71)⋊C4C2414yes—
869(C2×D71)⋊C4C2414yes—
870(C2×D71)⋊C4C2414yes—
871(C2×D71)⋊C4C2414yes—
872C4×Dic71C2412yes—
873C4×Dic71C2414yes—
874C4×Dic71C2412yes—
875C4×Dic71C2414yes—
876C4×Dic71C2414yes—
877C4×Dic71C2411yescharacteristic
878C4×Dic71C2411yescharacteristic
879C4×Dic71C2414yes—
880C4×Dic71C2414yes—
881C4×Dic71C2414yes—
882C4×Dic71C2414yes—
883C4×Dic71C2414yes—
884C24×C71C2411yescharacteristic
885#41×C71—42no—
886#41×C71—44no—
887#41×C71—44no—
888C2×Q8×C71C2412yes—
889C2×Q8×C71C2411yescharacteristic
890C2×D4×C71C2412yes—
891C2×D4×C71C2412yes—
892C2×D4×C71C2414yes—
893C2×D4×C71C2411yescharacteristic
894C2×D4×C71C2414yes—
895C2×D4×C71C2414yes—
896C2×D4×C71C2412yes—
897C2×D4×C71C2414yes—
898C2×D4×C71C2412yes—
899C2×D4×C71C2414yes—
900C2×D4×C71C2414yes—
901C22×C4×C71—42no—
902C22×C4×C71C2412yes—
903C22×C4×C71C2411yescharacteristic
904C22×C4×C71C2412yes—
905C22×C4×C71C2411yescharacteristic
906C22×C4×C71C2412yes—
907C22×C4×C71C2414yes—
908C22×C4×C71C2414yes—
909C22×C4×C71C2414yes—
910C22×C4×C71C2414yes—
911C4⋊C4×C71C2412yes—
912C4⋊C4×C71C2412yes—
913C4⋊C4×C71C2412yes—
914C4⋊C4×C71C2414yes—
915C4⋊C4×C71C2414yes—
916C4⋊C4×C71C2414yes—
917C4⋊C4×C71C2414yes—
918C4⋊C4×C71C2412yes—
919C4⋊C4×C71C2414yes—
920C4⋊C4×C71C2412yes—
921C4⋊C4×C71C2414yes—
922C4⋊C4×C71C2414yes—
923C4⋊C4×C71C2414yes—
924C22⋊C4×C71C2412yes—
925C22⋊C4×C71C2414yes—
926C22⋊C4×C71C2412yes—
927C22⋊C4×C71C2414yes—
928C22⋊C4×C71C2414yes—
929C22⋊C4×C71C2412yes—
930C22⋊C4×C71C2412yes—
931C22⋊C4×C71C2414yes—
932C22⋊C4×C71C2414yes—
933C22⋊C4×C71C2412yes—
934C22⋊C4×C71C2414yes—
935C22⋊C4×C71C2414yes—
936C22⋊C4×C71C2414yes—
937C42×C71C2414yes—
938C42×C71C2411yescharacteristic
939C42×C71C2411yescharacteristic
940C42×C71C2414yes—
941C23×C71—41no—
942C23×C71—42no—
943C23×C71C2511yescharacteristic
944C23×C71C2512yes—
945C23×C71C2514yes—
946C23×C71C2512yes—
947C22×D71—24no—
948C22×D71—22no—
949C22×D71—24no—
950C22×D71—24no—
951C22×D71—24no—
952C22×D71—24no—
953C22×D71—28no—
954C22×D71—41no—
955C22×D71—42no—
956C22×D71—42no—
957C22×D71—42no—
958C22×D71—42no—
959C22×D71—44no—
960C22×D71—44no—
961C22×D71—44no—
962C22×D71—42no—
963C22×D71—42no—
964C22×D71—44no—
965C22×D71—44no—
966C22×D71—416no—
967C22×D71C2512yes—
968C22×D71C2511yescharacteristic
969C22×D71C2514yes—
970C22×D71C2511yescharacteristic
971C22×D71C2512yes—
972Q8×C71—24no—
973Q8×C71—41no—
974D4×C71—24no—
975D4×C71—44no—
976D4×C71—44no—
977D4×C71—42no—
978D4×C71—41no—
979D4×C71—44no—
980D4×C71—44no—
981D4×C71—44no—
982D4×C71—42no—
983D4×C71—42no—
984D4×C71—44no—
985C2×C4×C71—22no—
986C2×C4×C71—24no—
987C2×C4×C71—24no—
988C2×C4×C71—42no—
989C2×C4×C71—41no—
990C2×C4×C71—44no—
991C2×C4×C71—44no—
992C2×C4×C71—44no—
993C2×C4×C71—44no—
994C2×C4×C71C2512yes—
995C2×C4×C71C2514yes—
996C2×C4×C71C2512yes—
997C2×C4×C71C2514yes—
998C2×C4×C71C2512yes—
999C2×C4×C71C2514yes—
1000C2×C4×C71C2512yes—
1001C2×C4×C71C2511yescharacteristic
1002C2×C4×C71C2511yescharacteristic
1003C22⋊D71—28no—
1004C22⋊D71—28no—
1005C22⋊D71—24no—
1006C22⋊D71—24no—
1007C22⋊D71—42no—
1008C22⋊D71—42no—
1009C22⋊D71—44no—
1010C22⋊D71—44no—
1011C22⋊D71—44no—
1012C22⋊D71—44no—
1013C22⋊D71—44no—
1014C22⋊D71—44no—
1015C22⋊D71—42no—
1016C22⋊D71—42no—
1017C22⋊D71—44no—
1018C22⋊D71—42no—
1019C22⋊D71—44no—
1020C22⋊D71—44no—
1021C2×Dic71—22no—
1022C2×Dic71—24no—
1023C2×Dic71—24no—
1024C2×Dic71—28no—
1025C2×Dic71—42no—
1026C2×Dic71—41no—
1027C2×Dic71—44no—
1028C2×Dic71—44no—
1029C2×Dic71C2512yes—
1030C2×Dic71C2514yes—
1031C2×Dic71C2512yes—
1032C2×Dic71C2514yes—
1033C2×Dic71C2512yes—
1034C2×Dic71C2514yes—
1035C2×Dic71C2512yes—
1036C2×Dic71C2511yescharacteristic
1037C2×Dic71C2511yescharacteristic
1038D284—28no—
1039D284—24no—
1040D284—24no—
1041D284—28no—
1042D284—24no—
1043D284—44no—
1044D284—42no—
1045D284—41no—
1046D284—44no—
1047D284—44no—
1048C4×D71—22no—
1049C4×D71—24no—
1050C4×D71—24no—
1051C4×D71—28no—
1052C4×D71—24no—
1053C4×D71—22no—
1054C4×D71—24no—
1055C4×D71—24no—
1056C4×D71—22no—
1057C4×D71—24no—
1058C4×D71—28no—
1059C4×D71—42no—
1060C4×D71—42no—
1061C4×D71—42no—
1062C4×D71—44no—
1063C4×D71—44no—
1064C4×D71—44no—
1065C4×D71—44no—
1066C4×D71—42no—
1067C4×D71—42no—
1068C4×D71—44no—
1069C4×D71—44no—
1070C4×D71—44no—
1071C4×D71H(5,𝔽2)14yes—
1072Dic142—24no—
1073Dic142—44no—
1074Dic142—44no—
1075Dic142—41no—
1076Dic142—42no—
1077Dic142—44no—
1078Dic142—44no—
1079C22×C71—22no—
1080C22×C71—21no—
1081C22×C71—24no—
1082C22×C71—22no—
1083C22×C71—22no—
1084C22×C71—24no—
1085C22×C71—22no—
1086C22×C71—24no—
1087C22×C71—22no—
1088C22×C71—22no—
1089C22×C71—22no—
1090C22×C71—44no—
1091C22×C71C2611yescharacteristic
1092C2×D71—22no—
1093C2×D71—22no—
1094C2×D71—22no—
1095C2×D71—21no—
1096C2×D71—22no—
1097C2×D71—24no—
1098C2×D71—24no—
1099C2×D71—24no—
1100C2×D71—22no—
1101C2×D71—22no—
1102C2×D71—22no—
1103C2×D71—48no—
1104C2×D71—44no—
1105C2×D71—44no—
1106C2×D71—48no—
1107C2×D71—84no—
1108C2×D71—88no—
1109C2×D71—88no—
1110C2×D71C2×H(5,𝔽2)12yes—
1111C2×D71#58514yes—
1112C4×C71—24no—
1113C4×C71—21no—
1114C4×C71—22no—
1115C4×C71—22no—
1116C4×C71—24no—
1117C4×C71—24no—
1118C4×C71—22no—
1119C4×C71—22no—
1120C4×C71C2×H(5,𝔽2)12yes—
1121Dic71—24no—
1122Dic71—22no—
1123Dic71—21no—
1124Dic71—22no—
1125Dic71—22no—
1126Dic71—22no—
1127Dic71—24no—
1128Dic71—24no—
1129Dic71C2×H(5,𝔽2)12yes—
1130#62729—711nomaximal, Sylow
1131C2×C71—42no—
1132C2×C71—41no—
1133C2×C71—44no—
1134C2×C71—42no—
1135C2×C71C22×H(5,𝔽2)11yescharacteristic
1136C2×C71C2×#58512yes—
1137D71—22no—
1138D71—24no—
1139D71—41no—
1140D71—44no—
1141D71—42no—
1142#3542—712no—
1143#3542—712no—
1144#3541—712no—
1145#3541—712no—
1146#3540—712no—
1147#3539—711no—
1148#3539D7111yescharacteristic, complemented
1149#3538—711no—
1150#3537—711no—
1151#3536—712no—
1152#3535—714no—
1153#3534—714no—
1154#3533—714no—
1155#3532—714no—
1156#3529—714no—
1157#3481—714no—
1158#3475—712no—
1159#3475—712no—
1160D4×#41—712no—
1161D4×#41—712no—
1162#3460—714no—
1163#3459—714no—
1164#3455—711no—
1165#3455—711no—
1166#3449—712no—
1167C2×#525—711no—
1168C2×#525—712no—
1169C71#6272911yescharacteristic, complemented, Sylow
1170C22×#41—711no—
1171C22×#41—712no—
1172C22×#41—712no—
1173C24×C4—711no—
1174#563—714no—
1175#563—714no—
1176#563—714no—
1177#562—714no—
1178#562—714no—
1179#562—714no—
1180#562—714no—
1181#562—714no—
1182#562—714no—
1183H(3,𝔽4)—714no—
1184#560—714no—
1185#560—714no—
1186#560—714no—
1187#560—714no—
1188#560—714no—
1189#560C2×D7114yescomplemented
1190#559—714no—
1191#556—712no—
1192#556—712no—
1193#555—712no—
1194#555—712no—
1195#554—714no—
1196#554—712no—
1197#554—712no—
1198#554—714no—
1199#553—712no—
1200#553—714no—
1201#553—714no—
1202#553—712no—
1203#553—712no—
1204#553—714no—
1205#553C2×D7112yescomplemented
1206#553C2×D7114yescomplemented
1207#552—714no—
1208#552—714no—
1209#552—712no—
1210#552—712no—
1211#552—712no—
1212#552C2×D7112yescomplemented
1213#551—714no—
1214#551—714no—
1215#551—714no—
1216#551—714no—
1217#551—714no—
1218#551—714no—
1219#551—714no—
1220#551—714no—
1221#550—712no—
1222#550C2×D7112yescomplemented
1223D4×Q8—712no—
1224D4×Q8—712no—
1225#548—712no—
1226#548—712no—
1227#548—712no—
1228#548—712no—
1229#547—712no—
1230#547—712no—
1231#547—714no—
1232#547—714no—
1233#547—712no—
1234#547C2×D7112yescomplemented
1235#546—712no—
1236#546—712no—
1237#546—714no—
1238#546—714no—
1239#546—714no—
1240#546—714no—
1241#546—714no—
1242#546—714no—
1243#546—712no—
1244#546—714no—
1245#546—714no—
1246#546—714no—
1247#546—712no—
1248#546—714no—
1249D42—714no—
1250D42—712no—
1251D42—714no—
1252D42—714no—
1253D42—712no—
1254#544—714no—
1255#543—714no—
1256#542—714no—
1257#542—714no—
1258#542—712no—
1259#542—712no—
1260#542—712no—
1261#542—714no—
1262#542—712no—
1263#542—714no—
1264#541—711no—
1265#541—711no—
1266#541—711no—
1267#541C2×D7111yescharacteristic, complemented
1268#540—711no—
1269#540—711no—
1270#540—714no—
1271#540—714no—
1272#540—714no—
1273#540—711no—
1274#540C2×D7111yescharacteristic, complemented
1275#540C2×D7114yescomplemented
1276#539—714no—
1277#539—714no—
1278#539—714no—
1279#539—714no—
1280#539—714no—
1281#539—714no—
1282#539—714no—
1283#539C2×D7114yescomplemented
1284#538—714no—
1285#538—714no—
1286#538—714no—
1287#538—714no—
1288#538—714no—
1289#538—714no—
1290#538—714no—
1291#538—714no—
1292#538—714no—
1293#538—714no—
1294#538—714no—
1295#538—714no—
1296#537—712no—
1297#537—712no—
1298#537—714no—
1299#537—712no—
1300#537C2×D7112yescomplemented
1301#536—712no—
1302#536—714no—
1303#536—712no—
1304#535—714no—
1305#535—714no—
1306#535—712no—
1307#535—714no—
1308#535—712no—
1309#534—714no—
1310#534—714no—
1311#534—714no—
1312#534—714no—
1313#534—714no—
1314#533—711no—
1315#533—711no—
1316#532—711no—
1317#532—714no—
1318#532—711no—
1319#532—714no—
1320#532—714no—
1321#532—714no—
1322#529—714no—
1323#529—714no—
1324#529—714no—
1325#529—714no—
1326#529—714no—
1327#529—714no—
1328#529—714no—
1329#529—714no—
1330#529—714no—
1331#529—714no—
1332#525—711no—
1333#525—712no—
1334#525—712no—
1335#525—711no—
1336#525—714no—
1337#525—712no—
1338#525—714no—
1339#525—714no—
1340#525—712no—
1341#525—712no—
1342#525—712no—
1343#525—714no—
1344#525—712no—
1345#525—712no—
1346#525—712no—
1347#525—712no—
1348#525—714no—
1349#525—714no—
1350#525—712no—
1351#525—714no—
1352#525—714no—
1353#525—712no—
1354#525—714no—
1355#525—714no—
1356#525—712no—
1357#525—712no—
1358#525—711no—
1359#525—712no—
1360#525C2×D7111yescharacteristic, complemented
1361#525C2×D7112yescomplemented
1362C2×#123—712no—
1363C2×#123—714no—
1364C2×C22⋊Q8—712no—
1365C2×C22⋊Q8—712no—
1366C2×C22⋊Q8—712no—
1367C2×#121—712no—
1368C2×#121—712no—
1369C2×#121—712no—
1370C2×#120—712no—
1371C2×#120—714no—
1372C4×#41—712no—
1373C4×#41—712no—
1374C4×#41—714no—
1375C4×#41—714no—
1376C2×C4×D4—714no—
1377C2×C4×D4—712no—
1378C2×C4×D4—712no—
1379C2×C4×D4—714no—
1380C2×C4×D4—714no—
1381C2×C4×D4—714no—
1382C2×#117—711no—
1383C2×#117—712no—
1384C2×#117—712no—
1385C25—711no—
1386C2×#41—2848no—
1387C2×#41—2848no—
1388C2×#41—2844no—
1389C2×#41—711no—
1390C2×#41—712no—
1391C2×#41—714no—
1392C2×#41—712no—
1393C2×#41—714no—
1394C2×#41—711no—
1395C2×#41—714no—
1396C2×#41—712no—
1397C2×#41—714no—
1398C2×#41—711no—
1399C2×#41—712no—
1400C2×#41—714no—
1401C2×#41—712no—
1402C2×#41—714no—
1403C2×#41—712no—
1404C2×#41C22×D7111yescharacteristic
1405C2×#41C22×D7112yes—
1406C2×#41C22×D7112yescomplemented
1407C22×Q8—711no—
1408C22×Q8—712no—
1409C22×Q8—712no—
1410C22×D4—714no—
1411C22×D4—712no—
1412C22×D4—712no—
1413C22×D4—714no—
1414C22×D4—714no—
1415C22×D4—712no—
1416C22×D4—714no—
1417C22×D4—711no—
1418C22×D4—712no—
1419C22×D4—714no—
1420C22×D4—712no—
1421C22×D4—714no—
1422C23×C4—2844no—
1423C23×C4—711no—
1424C23×C4—711no—
1425C23×C4—714no—
1426C23×C4—712no—
1427C23×C4—711no—
1428C23×C4—712no—
1429C23×C4—712no—
1430C23×C4—711no—
1431C23×C4—714no—
1432C23×C4—712no—
1433C23×C4—712no—
1434C23×C4—711no—
1435C23×C4C22×D7111yescharacteristic
1436C4⋊Q8—714no—
1437C4⋊Q8—714no—
1438C4⋊Q8—714no—
1439C4⋊Q8—712no—
1440C4⋊Q8—712no—
1441C4⋊Q8—711no—
1442C4⋊Q8—714no—
1443C4⋊Q8C22×D7111yescharacteristic, complemented
1444#127—714no—
1445#127—714no—
1446#127—714no—
1447#127—711no—
1448#127C22×D7114yes—
1449#127C22×D7111yescharacteristic, complemented
1450#126—714no—
1451#126—714no—
1452#126—714no—
1453#126—714no—
1454#126—714no—
1455#126—714no—
1456#126—714no—
1457#126—714no—
1458#126—714no—
1459#126—714no—
1460#126—714no—
1461#126—714no—
1462#126—714no—
1463#126—714no—
1464#126—714no—
1465#126—714no—
1466#126—714no—
1467#126C22×D7114yes—
1468#126C22×D7114yes—
1469#126C22×D7114yescomplemented
1470#125—714no—
1471#125—714no—
1472#125—714no—
1473#125—714no—
1474#125—714no—
1475#125—714no—
1476#125—714no—
1477#125—714no—
1478#125—711no—
1479#125—711no—
1480#125C22×D7114yescomplemented
1481#125C22×D7114yescomplemented
1482#125C22×D7111yescharacteristic, complemented
1483#125C22×D7111yescharacteristic, complemented
1484#124—712no—
1485#124—714no—
1486#124—714no—
1487#124—714no—
1488#124—714no—
1489#124—712no—
1490#124—714no—
1491#124—714no—
1492#124—714no—
1493#124—714no—
1494#124—714no—
1495#124—714no—
1496#124—714no—
1497#124—714no—
1498#124—714no—
1499#124—714no—
1500#124—714no—
1501#124—714no—
1502#124—714no—
1503#124—714no—
1504#123—714no—
1505#123—712no—
1506#123—714no—
1507#123—714no—
1508#123—714no—
1509#123—714no—
1510#123—714no—
1511#123—712no—
1512#123—714no—
1513#123—714no—
1514#123—714no—
1515#123—714no—
1516#123—714no—
1517#123—714no—
1518#123—712no—
1519#123—712no—
1520#123—714no—
1521#123—714no—
1522#123—714no—
1523#123—714no—
1524#123—714no—
1525#123—714no—
1526#123—714no—
1527#123—714no—
1528#123—714no—
1529#123—714no—
1530#123—714no—
1531#123—714no—
1532#123—712no—
1533#123—712no—
1534#123—714no—
1535#123—712no—
1536#123—714no—
1537#123—714no—
1538#123—714no—
1539#123—714no—
1540#123—714no—
1541#123—714no—
1542#123—714no—
1543#123—714no—
1544#123—714no—
1545#123—714no—
1546#123—714no—
1547#123C22×D7114yes—
1548#123C22×D7112yes—
1549#123C22×D7114yes—
1550#123C22×D7114yes—
1551#123C22×D7114yes—
1552#123C22×D7114yescomplemented
1553#123C22×D7114yescomplemented
1554C22⋊Q8—712no—
1555C22⋊Q8—712no—
1556C22⋊Q8—712no—
1557C22⋊Q8—714no—
1558C22⋊Q8—712no—
1559C22⋊Q8—712no—
1560C22⋊Q8—712no—
1561C22⋊Q8—712no—
1562C22⋊Q8—712no—
1563C22⋊Q8—714no—
1564C22⋊Q8—714no—
1565C22⋊Q8—714no—
1566C22⋊Q8—714no—
1567C22⋊Q8—714no—
1568C22⋊Q8—712no—
1569C22⋊Q8—712no—
1570C22⋊Q8—714no—
1571C22⋊Q8—714no—
1572C22⋊Q8—712no—
1573C22⋊Q8—712no—
1574C22⋊Q8—712no—
1575C22⋊Q8—712no—
1576C22⋊Q8—714no—
1577C22⋊Q8—714no—
1578C22⋊Q8—714no—
1579C22⋊Q8—714no—
1580C22⋊Q8—714no—
1581C22⋊Q8—714no—
1582C22⋊Q8—714no—
1583C22⋊Q8—714no—
1584C22⋊Q8—714no—
1585C22⋊Q8—714no—
1586C22⋊Q8—714no—
1587C22⋊Q8—714no—
1588C22⋊Q8—714no—
1589C22⋊Q8—714no—
1590C22⋊Q8—714no—
1591C22⋊Q8—714no—
1592C22⋊Q8—712no—
1593C22⋊Q8—712no—
1594C22⋊Q8—714no—
1595C22⋊Q8—714no—
1596C22⋊Q8—714no—
1597C22⋊Q8C22×D7112yes—
1598C22⋊Q8C22×D7112yes—
1599C22⋊Q8C22×D7112yes—
1600C22⋊Q8C22×D7114yescomplemented
1601C22⋊Q8C22×D7112yescomplemented
1602#121—712no—
1603#121—712no—
1604#121—712no—
1605#121—714no—
1606#121—714no—
1607#121—712no—
1608#121—712no—
1609#121—712no—
1610#121—714no—
1611#121—714no—
1612#121—714no—
1613#121—714no—
1614#121—714no—
1615#121—714no—
1616#121—714no—
1617#121—714no—
1618#121—714no—
1619#121—714no—
1620#121—714no—
1621#121—714no—
1622#121—714no—
1623#121—714no—
1624#121—714no—
1625#121—714no—
1626#121—714no—
1627#121—712no—
1628#121—712no—
1629#121—712no—
1630#121—714no—
1631#121—712no—
1632#121—714no—
1633#121—714no—
1634#121—714no—
1635#121—712no—
1636#121—712no—
1637#121—712no—
1638#121—714no—
1639#121—712no—
1640#121—714no—
1641#121—714no—
1642#121—714no—
1643#121—714no—
1644#121—714no—
1645#121—712no—
1646#121—712no—
1647#121—714no—
1648#121—714no—
1649#121—714no—
1650#121—714no—
1651#121—714no—
1652#121—714no—
1653#121—714no—
1654#121C22×D7112yes—
1655#121C22×D7112yes—
1656#121C22×D7112yes—
1657#121C22×D7114yes—
1658#121C22×D7114yes—
1659#121C22×D7114yes—
1660#121C22×D7114yes—
1661#121C22×D7114yes—
1662#121C22×D7114yes—
1663#121C22×D7112yescomplemented
1664#121C22×D7114yescomplemented
1665#121C22×D7114yescomplemented
1666#120—714no—
1667#120—712no—
1668#120—714no—
1669#120—714no—
1670#120—712no—
1671#120—712no—
1672#120—714no—
1673#120—712no—
1674#120—714no—
1675#120—714no—
1676#120—714no—
1677#120—714no—
1678#120—714no—
1679#120—714no—
1680#120—714no—
1681#120—714no—
1682#120—714no—
1683#120—712no—
1684#120—712no—
1685#120—714no—
1686#120—714no—
1687#120—712no—
1688#120—714no—
1689#120—714no—
1690#120—714no—
1691#120—714no—
1692#120—714no—
1693#120—714no—
1694#120C22×D7112yes—
1695#120C22×D7114yes—
1696C4×Q8—712no—
1697C4×Q8—714no—
1698C4×Q8—714no—
1699C4×Q8—712no—
1700C4×Q8—714no—
1701C4×Q8—712no—
1702C4×Q8—714no—
1703C4×Q8C22×D7112yescomplemented
1704C4×D4—714no—
1705C4×D4—714no—
1706C4×D4—712no—
1707C4×D4—712no—
1708C4×D4—714no—
1709C4×D4—714no—
1710C4×D4—712no—
1711C4×D4—714no—
1712C4×D4—714no—
1713C4×D4—712no—
1714C4×D4—712no—
1715C4×D4—712no—
1716C4×D4—712no—
1717C4×D4—714no—
1718C4×D4—714no—
1719C4×D4—714no—
1720C4×D4—714no—
1721C4×D4—714no—
1722C4×D4—714no—
1723C4×D4—714no—
1724C4×D4—712no—
1725C4×D4—712no—
1726C4×D4—714no—
1727C4×D4—714no—
1728C4×D4—714no—
1729C4×D4—714no—
1730C4×D4—714no—
1731C4×D4—714no—
1732C4×D4—714no—
1733C4×D4—714no—
1734C4×D4—714no—
1735C4×D4—714no—
1736C4×D4—712no—
1737C4×D4—714no—
1738C4×D4—712no—
1739C4×D4—712no—
1740C4×D4—712no—
1741C4×D4—712no—
1742C4×D4—714no—
1743C4×D4—714no—
1744C4×D4—714no—
1745C4×D4—714no—
1746C4×D4—714no—
1747C4×D4—714no—
1748C4×D4—714no—
1749C4×D4—714no—
1750C4×D4—714no—
1751C4×D4—712no—
1752C4×D4—712no—
1753C4×D4—714no—
1754C4×D4—714no—
1755C4×D4—714no—
1756C4×D4—712no—
1757C4×D4C22×D7114yes—
1758C4×D4C22×D7112yes—
1759C4×D4C22×D7112yes—
1760C4×D4C22×D7114yes—
1761C4×D4C22×D7114yescomplemented
1762C4×D4C22×D7114yescomplemented
1763C4×D4C22×D7112yescomplemented
1764#117—711no—
1765#117—712no—
1766#117—712no—
1767#117—712no—
1768#117—712no—
1769#117—714no—
1770#117—714no—
1771#117—712no—
1772#117—712no—
1773#117—714no—
1774#117—714no—
1775#117—714no—
1776#117—712no—
1777#117—714no—
1778#117—714no—
1779#117—714no—
1780#117—711no—
1781#117—711no—
1782#117—714no—
1783#117—714no—
1784#117—714no—
1785#117C22×D7111yescharacteristic
1786#117C22×D7112yes—
1787#117C22×D7114yescomplemented
1788C2×C4⋊C4—712no—
1789C2×C4⋊C4—712no—
1790C2×C4⋊C4—712no—
1791C2×C4⋊C4—712no—
1792C2×C4⋊C4—714no—
1793C2×C4⋊C4—712no—
1794C2×C4⋊C4—712no—
1795C2×C4⋊C4—714no—
1796C2×C4⋊C4—714no—
1797C2×C4⋊C4C22×D7112yescomplemented
1798C2×C4⋊C4C22×D7114yescomplemented
1799C2×C22⋊C4—714no—
1800C2×C22⋊C4—714no—
1801C2×C22⋊C4—714no—
1802C2×C22⋊C4—712no—
1803C2×C22⋊C4—714no—
1804C2×C22⋊C4—714no—
1805C2×C22⋊C4—714no—
1806C2×C22⋊C4—712no—
1807C2×C22⋊C4—712no—
1808C2×C22⋊C4—714no—
1809C2×C22⋊C4—714no—
1810C2×C22⋊C4—712no—
1811C2×C22⋊C4—712no—
1812C2×C22⋊C4—714no—
1813C2×C22⋊C4—714no—
1814C2×C42—714no—
1815C2×C42—714no—
1816C2×C42—714no—
1817C2×C42—711no—
1818C2×C42—711no—
1819C2×C42—714no—
1820C24—2842no—
1821C24—2844no—
1822C24—714no—
1823C24—714no—
1824C24—712no—
1825C24—712no—
1826C24—711no—
1827C24—711no—
1828C24—712no—
1829C24C23×D7111yescharacteristic
1830#41—42no—
1831#41—44no—
1832#41—44no—
1833#41—2844no—
1834#41—2844no—
1835#41—2842no—
1836#41—2844no—
1837#41—2848no—
1838#41—2848no—
1839#41—2848no—
1840#41—2848no—
1841#41—2844no—
1842#41—2842no—
1843#41—2848no—
1844#41—2848no—
1845#41—2842no—
1846#41—1428no—
1847#41—1428no—
1848C2×Q8—2844no—
1849C2×Q8—2844no—
1850C2×Q8—2842no—
1851C2×Q8—714no—
1852C2×Q8—714no—
1853C2×Q8—712no—
1854C2×Q8—714no—
1855C2×Q8—711no—
1856C2×Q8—714no—
1857C2×Q8—712no—
1858C2×Q8C23×D7112yes—
1859C2×Q8C23×D7111yescharacteristic
1860C2×D4—2848no—
1861C2×D4—2848no—
1862C2×D4—2844no—
1863C2×D4—2844no—
1864C2×D4—2848no—
1865C2×D4—2848no—
1866C2×D4—2848no—
1867C2×D4—2844no—
1868C2×D4—2844no—
1869C2×D4—2848no—
1870C2×D4—2842no—
1871C2×D4—2844no—
1872C2×D4—712no—
1873C2×D4—712no—
1874C2×D4—714no—
1875C2×D4—714no—
1876C2×D4—714no—
1877C2×D4—714no—
1878C2×D4—714no—
1879C2×D4—712no—
1880C2×D4—714no—
1881C2×D4—712no—
1882C2×D4—714no—
1883C2×D4—712no—
1884C2×D4—714no—
1885C2×D4—714no—
1886C2×D4—712no—
1887C2×D4—712no—
1888C2×D4—714no—
1889C2×D4—714no—
1890C2×D4—714no—
1891C2×D4—714no—
1892C2×D4—714no—
1893C2×D4—712no—
1894C2×D4—711no—
1895C2×D4—714no—
1896C2×D4—712no—
1897C2×D4—712no—
1898C2×D4—714no—
1899C2×D4—712no—
1900C2×D4C23×D7112yes—
1901C2×D4C23×D7114yes—
1902C2×D4C23×D7114yes—
1903C2×D4C23×D7112yes—
1904C2×D4C23×D7112yes—
1905C2×D4C23×D7114yes—
1906C2×D4C23×D7114yes—
1907C2×D4C23×D7114yes—
1908C2×D4C23×D7112yes—
1909C2×D4C23×D7114yes—
1910C2×D4C23×D7111yescharacteristic
1911C22×C4—42no—
1912C22×C4—2842no—
1913C22×C4—2844no—
1914C22×C4—2844no—
1915C22×C4—2842no—
1916C22×C4—2842no—
1917C22×C4—2844no—
1918C22×C4—2848no—
1919C22×C4—2848no—
1920C22×C4—2842no—
1921C22×C4—714no—
1922C22×C4—714no—
1923C22×C4—712no—
1924C22×C4—711no—
1925C22×C4—712no—
1926C22×C4—712no—
1927C22×C4—714no—
1928C22×C4—714no—
1929C22×C4—714no—
1930C22×C4—712no—
1931C22×C4—714no—
1932C22×C4—712no—
1933C22×C4—714no—
1934C22×C4—714no—
1935C22×C4—712no—
1936C22×C4—714no—
1937C22×C4—711no—
1938C22×C4—712no—
1939C22×C4—714no—
1940C22×C4—711no—
1941C22×C4—712no—
1942C22×C4—712no—
1943C22×C4—714no—
1944C22×C4—714no—
1945C22×C4—712no—
1946C22×C4—712no—
1947C22×C4—712no—
1948C22×C4—711no—
1949C22×C4—711no—
1950C22×C4—712no—
1951C22×C4—712no—
1952C22×C4—711no—
1953C22×C4—1428no—
1954C22×C4—1424no—
1955C22×C4—1428no—
1956C22×C4C23×D7112yes—
1957C22×C4C23×D7112yes—
1958C22×C4C23×D7111yescharacteristic
1959C22×C4C23×D7114yes—
1960C22×C4C23×D7114yes—
1961C22×C4C23×D7114yes—
1962C22×C4C23×D7114yes—
1963C22×C4C23×D7111yescharacteristic
1964C22×C4C23×D7112yes—
1965C4⋊C4—714no—
1966C4⋊C4—712no—
1967C4⋊C4—712no—
1968C4⋊C4—712no—
1969C4⋊C4—712no—
1970C4⋊C4—714no—
1971C4⋊C4—714no—
1972C4⋊C4—714no—
1973C4⋊C4—714no—
1974C4⋊C4—714no—
1975C4⋊C4—714no—
1976C4⋊C4—712no—
1977C4⋊C4—712no—
1978C4⋊C4—714no—
1979C4⋊C4—714no—
1980C4⋊C4—714no—
1981C4⋊C4—714no—
1982C4⋊C4—714no—
1983C4⋊C4—714no—
1984C4⋊C4—714no—
1985C4⋊C4—712no—
1986C4⋊C4—712no—
1987C4⋊C4—712no—
1988C4⋊C4—714no—
1989C4⋊C4—712no—
1990C4⋊C4—712no—
1991C4⋊C4—714no—
1992C4⋊C4—714no—
1993C4⋊C4—714no—
1994C4⋊C4—714no—
1995C4⋊C4—714no—
1996C4⋊C4C23×D7112yes—
1997C4⋊C4C23×D7112yes—
1998C4⋊C4C23×D7112yes—
1999C4⋊C4C23×D7112yes—
2000C4⋊C4C23×D7114yes—
2001C4⋊C4C23×D7112yes—
2002C4⋊C4C23×D7114yes—
2003C4⋊C4C23×D7114yes—
2004C4⋊C4C23×D7114yes—
2005C4⋊C4C23×D7114yes—
2006C4⋊C4C23×D7114yes—
2007C4⋊C4C23×D7114yes—
2008C4⋊C4C23×D7114yes—
2009C22⋊C4—714no—
2010C22⋊C4—712no—
2011C22⋊C4—714no—
2012C22⋊C4—714no—
2013C22⋊C4—712no—
2014C22⋊C4—712no—
2015C22⋊C4—714no—
2016C22⋊C4—714no—
2017C22⋊C4—714no—
2018C22⋊C4—714no—
2019C22⋊C4—712no—
2020C22⋊C4—712no—
2021C22⋊C4—714no—
2022C22⋊C4—714no—
2023C22⋊C4—714no—
2024C22⋊C4—712no—
2025C22⋊C4—712no—
2026C22⋊C4—712no—
2027C22⋊C4—712no—
2028C22⋊C4—714no—
2029C22⋊C4—714no—
2030C22⋊C4—714no—
2031C22⋊C4—714no—
2032C22⋊C4—714no—
2033C22⋊C4—712no—
2034C22⋊C4—712no—
2035C22⋊C4—712no—
2036C22⋊C4—712no—
2037C22⋊C4—714no—
2038C22⋊C4—714no—
2039C22⋊C4—712no—
2040C22⋊C4—712no—
2041C22⋊C4—714no—
2042C22⋊C4—714no—
2043C22⋊C4—714no—
2044C22⋊C4—714no—
2045C22⋊C4—714no—
2046C22⋊C4—714no—
2047C22⋊C4—714no—
2048C22⋊C4—714no—
2049C22⋊C4—714no—
2050C22⋊C4—714no—
2051C22⋊C4—714no—
2052C22⋊C4—714no—
2053C22⋊C4—714no—
2054C22⋊C4C23×D7114yes—
2055C22⋊C4C23×D7112yes—
2056C22⋊C4C23×D7112yes—
2057C22⋊C4C23×D7114yes—
2058C22⋊C4C23×D7112yes—
2059C22⋊C4C23×D7112yes—
2060C22⋊C4C23×D7114yes—
2061C22⋊C4C23×D7112yes—
2062C22⋊C4C23×D7114yes—
2063C22⋊C4C23×D7114yes—
2064C22⋊C4C23×D7114yes—
2065C22⋊C4C23×D7114yes—
2066C22⋊C4C23×D7114yes—
2067C42—712no—
2068C42—712no—
2069C42—714no—
2070C42—714no—
2071C42—714no—
2072C42—714no—
2073C42—711no—
2074C42—711no—
2075C42—714no—
2076C42—714no—
2077C42—714no—
2078C42—714no—
2079C42C23×D7114yes—
2080C42C23×D7111yescharacteristic
2081C42C23×D7111yescharacteristic
2082C42C23×D7114yes—
2083C23—41no—
2084C23—42no—
2085C23—2842no—
2086C23—2841no—
2087C23—2842no—
2088C23—2842no—
2089C23—2842no—
2090C23—2844no—
2091C23—2844no—
2092C23—2842no—
2093C23—2844no—
2094C23—2842no—
2095C23—2844no—
2096C23—2844no—
2097C23—28416no—
2098C23—711no—
2099C23—712no—
2100C23—711no—
2101C23—712no—
2102C23—714no—
2103C23—1422no—
2104C23—1424no—
2105C23—1424no—
2106C23—1424no—
2107C23—1424no—
2108C23—1424no—
2109C23—1428no—
2110C23C24×D7112yes—
2111C23C24×D7111yescharacteristic
2112C23C24×D7114yes—
2113C23C24×D7112yes—
2114Q8—24no—
2115Q8—41no—
2116Q8—2842no—
2117Q8—2841no—
2118Q8—2844no—
2119Q8—2844no—
2120Q8—2844no—
2121Q8—2844no—
2122Q8—1424no—
2123D4—24no—
2124D4—42no—
2125D4—41no—
2126D4—44no—
2127D4—44no—
2128D4—42no—
2129D4—44no—
2130D4—44no—
2131D4—42no—
2132D4—44no—
2133D4—44no—
2134D4—2841no—
2135D4—2842no—
2136D4—2844no—
2137D4—2844no—
2138D4—2844no—
2139D4—2842no—
2140D4—2844no—
2141D4—2844no—
2142D4—2844no—
2143D4—2842no—
2144D4—2842no—
2145D4—2844no—
2146D4—2844no—
2147D4—2844no—
2148D4—2842no—
2149D4—2842no—
2150D4—2844no—
2151D4—2844no—
2152D4—2844no—
2153D4—1424no—
2154D4—1424no—
2155D4—1428no—
2156D4—1428no—
2157D4—1428no—
2158D4—1428no—
2159D4—1424no—
2160D4—1424no—
2161D4—1424no—
2162C2×C4—24no—
2163C2×C4—22no—
2164C2×C4—24no—
2165C2×C4—41no—
2166C2×C4—42no—
2167C2×C4—44no—
2168C2×C4—44no—
2169C2×C4—44no—
2170C2×C4—44no—
2171C2×C4—2842no—
2172C2×C4—2842no—
2173C2×C4—2842no—
2174C2×C4—2844no—
2175C2×C4—2844no—
2176C2×C4—2844no—
2177C2×C4—2844no—
2178C2×C4—2842no—
2179C2×C4—2844no—
2180C2×C4—2844no—
2181C2×C4—2842no—
2182C2×C4—2844no—
2183C2×C4—2842no—
2184C2×C4—2841no—
2185C2×C4—2844no—
2186C2×C4—2844no—
2187C2×C4—711no—
2188C2×C4—714no—
2189C2×C4—712no—
2190C2×C4—712no—
2191C2×C4—714no—
2192C2×C4—714no—
2193C2×C4—712no—
2194C2×C4—714no—
2195C2×C4—711no—
2196C2×C4—712no—
2197C2×C4—1424no—
2198C2×C4—1422no—
2199C2×C4—1424no—
2200C2×C4—1428no—
2201C2×C4—1422no—
2202C2×C4—1424no—
2203C2×C4—1424no—
2204C2×C4—1428no—
2205C2×C4—1422no—
2206C2×C4—1424no—
2207C2×C4—1428no—
2208C2×C4—1424no—
2209C2×C4—1424no—
2210C2×C4—1422no—
2211C2×C4—1424no—
2212C2×C4C24×D7114yes—
2213C2×C4C24×D7112yes—
2214C2×C4C24×D7114yes—
2215C2×C4C24×D7112yes—
2216C2×C4C24×D7112yes—
2217C2×C4C24×D7114yes—
2218C2×C4C24×D7112yes—
2219C2×C4C24×D7111yescharacteristic
2220C2×C4C24×D7111yescharacteristic
2221C22—22no—
2222C22—21no—
2223C22—22no—
2224C22—24no—
2225C22—22no—
2226C22—24no—
2227C22—22no—
2228C22—24no—
2229C22—22no—
2230C22—22no—
2231C22—22no—
2232C22—44no—
2233C22—2848no—
2234C22—2844no—
2235C22—2844no—
2236C22—2848no—
2237C22—5688no—
2238C22—5688no—
2239C22—5684no—
2240C22—712no—
2241C22—714no—
2242C22—1421no—
2243C22—1422no—
2244C22—1424no—
2245C22—1424no—
2246C22—1424no—
2247C22—1422no—
2248C22—1422no—
2249C22—1422no—
2250C22—1422no—
2251C22—1422no—
2252C22—1422no—
2253C22C25×D7111yescharacteristic
2254C4—22no—
2255C4—21no—
2256C4—22no—
2257C4—24no—
2258C4—22no—
2259C4—24no—
2260C4—24no—
2261C4—22no—
2262C4—712no—
2263C4—1421no—
2264C4—1422no—
2265C4—1424no—
2266C4—1422no—
2267C4—1424no—
2268C4—1422no—
2269C4—1422no—
2270C4—1424no—
2271C4H(5,𝔽2)×D7112yes—
2272C2—42no—
2273C2—41no—
2274C2—44no—
2275C2—42no—
2276C2—2841no—
2277C2—2842no—
2278C2—2844no—
2279C2—1422no—
2280C2—1424no—
2281C2C2×H(5,𝔽2)×D7111yescharacteristic
2282C2#585×D7112yes—
subgroupG/H
center, FrattiniC22C25×D71
commutator, socle, cosocleC22×C71C26
FittingC71×#3539C2
hypercenter#3539D71
hypocenterC71#62729
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C22 ◁ #3539

Complements

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

NH ≅ G/Ntype
1. #22602659C2semidirect
2. #22602646C2semidirect
3. #22602636C2semidirect
4. #22602623C2semidirect
5. #22602608C2semidirect
6. #22602600C2semidirect
7. #22602588C2semidirect
8. #22602578C2semidirect
9. #22602558C2semidirect
10. #22602548C2semidirect
11. #22602523C2semidirect
12. #22602498C2semidirect
13. #22602493C2semidirect
14. #22602475C2semidirect
15. #22601947C2semidirect
16. #22601899C2semidirect
17. #22601893C2semidirect
18. #22601830C2semidirect
19. #22601827C2semidirect
20. #22601755C2semidirect
21. #22601748C2semidirect
22. #22601731C2semidirect
23. #22601724C2semidirect
24. #22601668C2semidirect
25. #525×D71C2semidirect
26. #525×D71C2semidirect
27. C71×#3539C2semidirect
28. C2×#41×D71C22semidirect
29. C2×#41×D71C22semidirect
30. C2×#41×D71C22semidirect
31. C23×C4×D71C22semidirect
32. #17986752C22semidirect
33. #17986751C22semidirect
34. #17986751C22semidirect
35. #17986746C22semidirect
36. #17986746C22semidirect
37. #17986744C22semidirect
38. #17986744C22semidirect
39. #17986744C22semidirect
40. #17986744C22semidirect
41. #17986742C22semidirect
42. #17986738C22semidirect
43. #17986738C22semidirect
44. #17986737C22semidirect
45. #17986737C22semidirect
46. #17986736C22semidirect
47. #17986732C22semidirect
48. #17986720C22semidirect
49. #17986717C22semidirect
50. #17986713C22semidirect
51. #17986712C22semidirect
52. #17986707C22semidirect
53. #17986705C22semidirect
54. #17986704C22semidirect
55. #17986704C22semidirect
56. #17986702C22semidirect
57. #17986699C22semidirect
58. #17986695C22semidirect
59. #17986694C22semidirect
60. #17986694C22semidirect
61. #17986693C22semidirect
62. #17986690C22semidirect
63. #17986689C22semidirect
64. #17986687C22semidirect
65. #17986685C22semidirect
66. #17986681C22semidirect
67. #17986678C22semidirect
68. #17986678C22semidirect
69. #17986678C22semidirect
70. #17986677C22semidirect
71. #17986674C22semidirect
72. #17986674C22semidirect
73. #17986674C22semidirect
74. #17986673C22semidirect
75. #17986670C22semidirect
76. Q8×D284C22semidirect
77. #17986664C22semidirect
78. #17986659C22semidirect
79. #17986659C22semidirect
80. #17986656C22semidirect
81. #17986656C22semidirect
82. #17986654C22semidirect
83. #17986654C22semidirect
84. #17986650C22semidirect
85. #17986650C22semidirect
86. #17986649C22semidirect
87. #17986646C22semidirect
88. #17986646C22semidirect
89. #17986646C22semidirect
90. #17986646C22semidirect
91. #17986646C22semidirect
92. #17986645C22semidirect
93. #17986641C22semidirect
94. #17986641C22semidirect
95. #17986641C22semidirect
96. #17986638C22semidirect
97. #17986638C22semidirect
98. #17986638C22semidirect
99. #17986637C22semidirect
100. #17986637C22semidirect
101. D4×D284C22semidirect
102. #17986634C22semidirect
103. #17986634C22semidirect
104. #17986633C22semidirect
105. #17986633C22semidirect
106. #17986629C22semidirect
107. #17986624C22semidirect
108. #17986622C22semidirect
109. #17986621C22semidirect
110. #17986620C22semidirect
111. #17986617C22semidirect
112. #17986617C22semidirect
113. #17986616C22semidirect
114. #17986614C22semidirect
115. #17986614C22semidirect
116. #17986612C22semidirect
117. #17986611C22semidirect
118. #17986610C22semidirect
119. #17986605C22semidirect
120. #17986604C22semidirect
121. #17986603C22semidirect
122. #17986600C22semidirect
123. #17986599C22semidirect
124. #17986599C22semidirect
125. #17986597C22semidirect
126. #17986597C22semidirect
127. #17986597C22semidirect
128. #17986596C22semidirect
129. #17986595C22semidirect
130. #17986595C22semidirect
131. #17986592C22semidirect
132. #17986588C22semidirect
133. #17986588C22semidirect
134. #17986588C22semidirect
135. #17986585C22semidirect
136. #17986585C22semidirect
137. #17986585C22semidirect
138. #17986585C22semidirect
139. #17986582C22semidirect
140. #17986582C22semidirect
141. #17986581C22semidirect
142. #17986581C22semidirect
143. #17986581C22semidirect
144. #17986580C22semidirect
145. #17986578C22semidirect
146. #17986577C22semidirect
147. #17986577C22semidirect
148. #17986572C22semidirect
149. #17986572C22semidirect
150. #17986572C22semidirect
151. #17986565C22semidirect
152. #17986565C22semidirect
153. #17986565C22semidirect
154. #17986565C22semidirect
155. #17986562C22semidirect
156. #17986560C22semidirect
157. #17986560C22semidirect
158. #17986557C22semidirect
159. #17986557C22semidirect
160. #17986557C22semidirect
161. #17986555C22semidirect
162. #17986555C22semidirect
163. #17986550C22semidirect
164. #17986547C22semidirect
165. #17986547C22semidirect
166. #17986544C22semidirect
167. #17986544C22semidirect
168. #17986544C22semidirect
169. #17986534C22semidirect
170. #17986534C22semidirect
171. #17986532C22semidirect
172. #17986532C22semidirect
173. #17986532C22semidirect
174. #17986530C22semidirect
175. #17986530C22semidirect
176. #17986526C22semidirect
177. #17986526C22semidirect
178. #17986526C22semidirect
179. #17986512C22semidirect
180. #17986512C22semidirect
181. #17986512C22semidirect
182. #17986512C22semidirect
183. #17986512C22semidirect
185. #17986511C22semidirect
186. #17986510C22semidirect
187. #17986510C22semidirect
188. #17986509C22semidirect
189. #17986509C22semidirect
190. #17986509C22semidirect
191. #17986509C22semidirect
192. #17986509C22semidirect
193. #17986509C22semidirect
194. #17986509C22semidirect
195. #17986508C22semidirect
196. #17986508C22semidirect
197. #17986508C22semidirect
198. #17986508C22semidirect
199. #17986507C22semidirect
200. #17986507C22semidirect
201. #17986507C22semidirect
202. #17986507C22semidirect
203. #17986506C22semidirect
204. #17986506C22semidirect
205. #17986505C22semidirect
206. #17986505C22semidirect
207. #123×D71C22semidirect
208. #123×D71C22semidirect
209. C22⋊Q8×D71C22semidirect
210. C22⋊Q8×D71C22semidirect
211. C22⋊Q8×D71C22semidirect
212. #121×D71C22semidirect
213. #121×D71C22semidirect
214. #121×D71C22semidirect
215. #120×D71C22semidirect
216. #120×D71C22semidirect
217. C4×#11765866C22semidirect
218. #17986467C22semidirect
219. C4×#11765864C22semidirect
220. C4×#11765864C22semidirect
221. C2×#14556090C22semidirect
222. C4×D4×D71C22semidirect
223. C4×D4×D71C22semidirect
224. C4×D4×D71C22semidirect
225. C4×D4×D71C22semidirect
226. C4×D4×D71C22semidirect
227. C2×#14556086C22semidirect
228. #117×D71C22semidirect
229. #117×D71C22semidirect
230. #560×C71C22semidirect
231. #553×C71C22semidirect
232. #553×C71C22semidirect
233. #552×C71C22semidirect
234. #550×C71C22semidirect
235. #547×C71C22semidirect
236. #541×C71C22semidirect
237. #540×C71C22semidirect
238. #540×C71C22semidirect
239. #539×C71C22semidirect
240. #537×C71C22semidirect
241. #525×C71C22semidirect
242. #525×C71C22semidirect
252. C2×#11765865C23semidirect
258. C2×#11765864C23semidirect
264. C2×Q8×D71C23semidirect
276. C2×D4×D71C23semidirect
289. C22×C4×D71C23semidirect
290. #14556128C23semidirect
291. #14556128C23semidirect
292. #14556127C23semidirect
293. #14556127C23semidirect
294. #14556127C23semidirect
295. #14556127C23semidirect
296. #14556127C23semidirect
297. #14556125C23semidirect
303. #14556123C23semidirect
304. #14556123C23semidirect
305. #14556123C23semidirect
306. #14556123C23semidirect
307. #14556123C23semidirect
308. #14556122C23semidirect
309. #14556122C23semidirect
310. #14556122C23semidirect
315. #14556121C23semidirect
316. #14556121C23semidirect
317. #14556121C23semidirect
318. #14556120C23semidirect
319. #14556120C23semidirect
320. #14556119C23semidirect
321. #14556119C23semidirect
322. #14556118C23semidirect
323. #14556118C23semidirect
324. #14556118C23semidirect
325. #14556118C23semidirect
326. #14556118C23semidirect
327. #14556118C23semidirect
328. #14556117C23semidirect
330. #14556116C23semidirect
334. #14556115C23semidirect
335. #14556115C23semidirect
344. #14556114C23semidirect
345. #14556114C23semidirect
346. #14556114C23semidirect
347. #14556114C23semidirect
358. #14556113C23semidirect
359. #14556113C23semidirect
360. #14556113C23semidirect
361. #14556113C23semidirect
367. #14556111C23semidirect
368. #14556111C23semidirect
369. #14556111C23semidirect
370. #14556111C23semidirect
381. #14556110C23semidirect
382. #14556110C23semidirect
383. #14556110C23semidirect
384. #14556110C23semidirect
389. #14556109C23semidirect
390. #14556109C23semidirect
396. #14556108C23semidirect
397. #14556108C23semidirect
398. #14556108C23semidirect
399. #14556108C23semidirect
403. #14556107C23semidirect
404. #14556107C23semidirect
405. #14556107C23semidirect
406. #14556107C23semidirect
407. #14556107C23semidirect
408. #14556107C23semidirect
417. #14556106C23semidirect
418. #14556106C23semidirect
419. #14556106C23semidirect
420. #14556106C23semidirect
421. #14556106C23semidirect
426. #14556105C23semidirect
427. #14556105C23semidirect
428. #14556105C23semidirect
432. #14556104C23semidirect
433. #14556104C23semidirect
441. #14556103C23semidirect
447. #14556102C23semidirect
448. #14556102C23semidirect
449. #14556102C23semidirect
460. #14556101C23semidirect
471. #14556100C23semidirect
472. #14556100C23semidirect
473. #14556100C23semidirect
483. #14556099C23semidirect
484. #14556099C23semidirect
485. #14556099C23semidirect
495. #14556098C23semidirect
496. #14556098C23semidirect
512. #14556096C23semidirect
513. #14556096C23semidirect
514. Q8×Dic71C23semidirect
515. C4×Dic142C23semidirect
516. C4×Dic142C23semidirect
517. #14556093C23semidirect
518. #14556093C23semidirect
519. #14556093C23semidirect
520. #14556093C23semidirect
527. C4×D284C23semidirect
532. D4×Dic71C23semidirect
533. D4×Dic71C23semidirect
534. D4×Dic71C23semidirect
543. #14556090C23semidirect
544. #14556090C23semidirect
545. #14556090C23semidirect
546. #14556090C23semidirect
547. #14556090C23semidirect
560. C4×C22⋊D71C23semidirect
571. (C22⋊D71)⋊C4C23semidirect
572. (C22⋊D71)⋊C4C23semidirect
573. (C22⋊D71)⋊C4C23semidirect
581. #14556086C23semidirect
582. #14556086C23semidirect
583. #14556086C23semidirect
584. #14556086C23semidirect
589. #14556085C23semidirect
592. #14556084C23semidirect
593. #14556084C23semidirect
594. #14556084C23semidirect
595. C2×C4⋊Dic71C23semidirect
603. C4⋊C4×D71C23semidirect
606. C2×(C2×D71)⋊C4C23semidirect
618. C22⋊C4×D71C23semidirect
619. C2×C4×Dic71C23semidirect
620. C2×C4×Dic71C23semidirect
624. C42×D71C23semidirect
627. C2×#41×C71C23semidirect
629. C4⋊Q8×C71C23semidirect
631. #127×C71C23semidirect
634. #126×C71C23semidirect
635. #125×C71C23semidirect
636. #125×C71C23semidirect
637. #125×C71C23semidirect
638. #125×C71C23semidirect
644. #123×C71C23semidirect
645. #123×C71C23semidirect
649. C22⋊Q8×C71C23semidirect
650. C22⋊Q8×C71C23semidirect
660. #121×C71C23semidirect
661. #121×C71C23semidirect
662. #121×C71C23semidirect
665. C4×Q8×C71C23semidirect
670. C4×D4×C71C23semidirect
671. C4×D4×C71C23semidirect
672. C4×D4×C71C23semidirect
675. #117×C71C23semidirect
676. C2×C4⋊C4×C71C23semidirect
677. C2×C4⋊C4×C71C23semidirect
1148. #3539D71semidirect
1169. C71#62729semidirect
1189. #560C2×D71semidirect
1205. #553C2×D71semidirect
1206. #553C2×D71semidirect
1212. #552C2×D71semidirect
1222. #550C2×D71semidirect
1234. #547C2×D71semidirect
1267. #541C2×D71semidirect
1274. #540C2×D71semidirect
1275. #540C2×D71semidirect
1283. #539C2×D71semidirect
1300. #537C2×D71semidirect
1360. #525C2×D71semidirect
1361. #525C2×D71semidirect
1406. C2×#41C22×D71semidirect
1443. C4⋊Q8C22×D71semidirect
1449. #127C22×D71semidirect
1469. #126C22×D71semidirect
1480. #125C22×D71semidirect
1481. #125C22×D71semidirect
1482. #125C22×D71semidirect
1483. #125C22×D71semidirect
1552. #123C22×D71semidirect
1553. #123C22×D71semidirect
1600. C22⋊Q8C22×D71semidirect
1601. C22⋊Q8C22×D71semidirect
1663. #121C22×D71semidirect
1664. #121C22×D71semidirect
1665. #121C22×D71semidirect
1703. C4×Q8C22×D71semidirect
1761. C4×D4C22×D71semidirect
1762. C4×D4C22×D71semidirect
1763. C4×D4C22×D71semidirect
1787. #117C22×D71semidirect
1797. C2×C4⋊C4C22×D71semidirect
1798. C2×C4⋊C4C22×D71semidirect

Maximal subgroups

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

subgroupindex
#226026592
#226026462
#226026362
#226026232
#226026082
#226026002
#226025882
#226025782
#226025582
#226025482
#226025232
#226024982
#226024932
#226024752
#226019472
#226018992
#226018932
#226018302
#226018272
#226017552
#226017482
#226017312
#226017242
#226016682
#525×D712
C71×#35392
#6272971