Finite Group Databasebeta

← #35196122

Subgroups — #35196122

Order 20224.

6518 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777902C214yesmaximal, complemented
2#23777895C211yesmaximal, characteristic, complemented
3#23777890C212yesmaximal, complemented
4#23777882C212yesmaximal, complemented
5#23777873C212yesmaximal, complemented
6#23777865C212yesmaximal, complemented
7#23777853C214yesmaximal, complemented
8#23777845C212yesmaximal, complemented
9#23777837C212yesmaximal, complemented
10#23777814C211yesmaximal, characteristic, complemented
11#23777811C211yesmaximal, characteristic, complemented
12#23777798C211yesmaximal, characteristic, complemented
13#23777693C214yesmaximal, complemented
14#23777685C214yesmaximal, complemented
15#23777545C214yesmaximal, complemented
16#23777022C212yesmaximal, complemented
17#23777015C212yesmaximal, complemented
18#23776997C212yesmaximal, complemented
19#23776993C212yesmaximal, complemented
20#41×Dic158C212yesmaximal, complemented
21#23776978C212yesmaximal, complemented
22#23776827C214yesmaximal, complemented
23#23776825C214yesmaximal, complemented
24#23776788C214yesmaximal, complemented
25#23776696C211yesmaximal, characteristic, complemented
26C2×#19099120C211yesmaximal, characteristic, complemented
27C79×#3444C211yesmaximal, characteristic, complemented
28C79⋊#564C2214yescomplemented
29#19099317C2214yescomplemented
30#19099316C2218yes—
31#19099315C2218yescomplemented
32#19099315C2218yescomplemented
33#19099314C2218yes—
34#19099313C2214yescomplemented
35#19099310C2218yes—
36#19099308C2218yes—
37#19099307C2214yescomplemented
38#19099299C2212yescomplemented
39#19099298C2212yescomplemented
40#19099296C2214yescomplemented
41#19099295C2214yescomplemented
42Q8×Dic158C2212yescomplemented
43#19099293C2212yescomplemented
44#19099292C2212yescomplemented
45#19099292C2212yescomplemented
46#19099291C2212yescomplemented
47#19099291C2212yescomplemented
48#19099290C2214yescomplemented
49#19099289C2214yescomplemented
50#19099288C2212yescomplemented
51#19099288C2212yescomplemented
52#19099287C2212yescomplemented
53#19099286C2212yescomplemented
54#19099285C2214yescomplemented
55#19099283C2214yes—
56#19099283C2212yescomplemented
57#19099283C2212yescomplemented
58#19099282C2214yescomplemented
59#19099281C2214yes—
60#19099274C2212yescomplemented
61#19099272C2218yes—
62#19099272C2214yescomplemented
63#19099271C2214yes—
64#19099270C2214yes—
65#19099270C2212yescomplemented
66#19099269C2214yescomplemented
67#19099267C2218yes—
68#19099265C2214yes—
69#19099262C2218yes—
70#19099259C2214yes—
71#19099256C2218yes—
72#19099253C2214yes—
73#19099252C2214yes—
74#19099252C2218yescomplemented
75#19099246C2218yescomplemented
76#19099234C2212yescomplemented
77#19099233C2212yescomplemented
78Q8×D316C2212yescomplemented
79D4×Dic158C2214yes—
80D4×Dic158C2212yescomplemented
81D4×Dic158C2212yescomplemented
82#19099228C2212yescomplemented
83#19099226C2214yes—
84#19099222C2214yes—
85#19099222C2214yes—
86#19099220C2214yes—
87#19099219C2214yes—
88#19099218C2214yes—
89#19099218C2212yescomplemented
90#19099217C2212yescomplemented
91#19099212C2214yes—
92#19099193C2214yescomplemented
93#19099191C2214yescomplemented
94#19099186C2214yes—
95#19099186C2214yes—
96#19099184C2214yes—
97#19099184C2214yescomplemented
98#19099182C2214yescomplemented
99#19099181C2218yes—
100#19099180C2214yes—
101#19099180C2214yes—
102#19099180C2214yes—
103#19099178C2218yes—
104#19099176C2214yescomplemented
105#19099175C2214yes—
106#19099175C2214yescomplemented
107#19099173C2214yes—
108#19099173C2214yes—
109#19099173C2214yes—
110#19099171C2218yescomplemented
111#19099170C2218yescomplemented
112#19099166C2214yes—
113#19099166C2214yes—
114#19099157C2218yes—
115#19099157C2218yes—
116#19099156C2218yes—
117#19099155C2218yes—
118#19099155C2218yescomplemented
119#19099154C2218yescomplemented
120#19099148C2218yes—
121#19099148C2218yes—
122#19099142C2214yes—
123#19099141C2214yes—
124#19099139C2214yescomplemented
125#19099136C2214yes—
126#19099134C2214yes—
127#19099133C2214yescomplemented
128#19099120C2211yescharacteristic
129#19099120C2212yes—
130#19099120C2211yescharacteristic
131#19099120C2211yescharacteristic
132#19099120C2212yes—
133#19099120C2212yes—
134#19099120C2212yes—
135#19099120C2212yes—
136#19099120C2211yescharacteristic
137#19099120C2212yes—
138#19099120C2211yescharacteristic
139#19099120C2211yescharacteristic
140#19099120C2211yescharacteristic
141#19099120C2214yescomplemented
142#19099117C2218yescomplemented
143#19099117C2214yescomplemented
144#19099116C2214yes—
145#19099116C2218yescomplemented
146#19099113C2211yescharacteristic
147#19099113C2211yescharacteristic
148#19099113C2211yescharacteristic
149#19099109C2214yes—
150C2×#14579161C2211yescharacteristic
151C2×#14579161C2211yescharacteristic
152#19099097C2212yes—
153#19099097C2212yes—
154#19099097C2212yes—
155#19099097C2212yes—
156#19099097C2212yes—
157#19099097C2212yes—
158#19099097C2214yescomplemented
159#19099095C2218yes—
160#19099095C2218yes—
161#19099095C2214yescomplemented
162#19099093C2218yes—
163#19099093C2218yes—
164#19099093C2218yescomplemented
165#19099091C2218yescomplemented
166C2×#14579153C2212yes—
167#19099074C2212yes—
168#19099074C2212yes—
169#19099074C2212yes—
170C2×#14579140C2212yes—
171C2×#14579140C2212yes—
172#41×Dic79C2214yes—
173C4×#11929624C2212yes—
174C4×#11929624C2212yes—
175C4×#11929624C2212yes—
176C4×#11929624C2214yescomplemented
177#19099031C2214yes—
178C4×#11929623C2214yescomplemented
179C2×C4×Dic158C2212yes—
180C2×C4×Dic158C2212yes—
181C2×C4×Dic158C2214yescomplemented
182C4×Q8×D79C2214yescomplemented
183C2×#14579120C2212yes—
184#533×C79C2211yescharacteristic
185#533×C79C2211yescharacteristic
186#533×C79C2211yescharacteristic
187#532×C79C2211yescharacteristic
188#532×C79C2211yescharacteristic
189#532×C79C2211yescharacteristic
190#529×C79C2212yes—
191#529×C79C2212yes—
192#529×C79C2212yes—
193#529×C79C2212yes—
194#529×C79C2212yes—
195#529×C79C2212yes—
196#525×C79C2212yes—
197#525×C79C2212yes—
198#525×C79C2212yes—
199C4×#41×C79C2212yes—
200C4×#41×C79C2212yes—
201C4×#41×C79C2212yes—
202C22×C42×C79C2211yescharacteristic
203C2×#11929624C2312yes—
204C2×#11929624C2312yes—
205C2×#11929624C2314yes—
206C2×#11929624C2312yes—
207C2×#11929623C2314yes—
208C22×Dic158C2314yes—
209C22×Dic158C2312yes—
210C22×Dic158C2312yes—
211C2×Q8×D79C2314yes—
212#14579161C2312yes—
213#14579161C2314yes—
214#14579161C2312yes—
215#14579161C2312yes—
216#14579161C2314yes—
217#14579161C2312yes—
218#14579161C2311yescharacteristic
219#14579161C2311yescharacteristic
220#14579161C2311yescharacteristic
221#14579161C2311yescharacteristic
222#14579161C2311yescharacteristic
223#14579161C2311yescharacteristic
224#14579161C2311yescharacteristic
225#14579161C2312yes—
226#14579161C2312yes—
227#14579160C2318yes—
228#14579160C2318yes—
229#14579160C2314yes—
230#14579160C2314yes—
231#14579160C2314yes—
232#14579160C2318yes—
233#14579159C2318yes—
234#14579159C2314yes—
235#14579159C2314yes—
236#14579158C2311yescharacteristic
237#14579157C2314yes—
238#14579156C2318yes—
239#14579156C2318yes—
240#14579156C2318yes—
241#14579156C2318yes—
242#14579155C2318yes—
243#14579155C2314yes—
244#14579155C2314yes—
245#14579154C2318yes—
246#14579154C2318yes—
247#14579154C2318yes—
248#14579154C2318yes—
249#14579154C2318yes—
250#14579154C2318yes—
251#14579154C2318yes—
252#14579154C2318yes—
253#14579154C2318yes—
254#14579153C2314yes—
255#14579153C2318yes—
256#14579153C2314yes—
257#14579153C2314yes—
258#14579153C2312yes—
259#14579153C2312yes—
260#14579153C2312yes—
261#14579153C2312yes—
262#14579153C2312yes—
263#14579153C2312yes—
264#14579153C2312yes—
265#14579152C2318yes—
266#14579152C2318yes—
267#14579152C2318yes—
268#14579152C2318yes—
269#14579152C2314yes—
270#14579152C2314yes—
271#14579152C2314yes—
272#14579151C2318yes—
273#14579151C2318yes—
274#14579151C2318yes—
275#14579151C2318yes—
276#14579151C2318yes—
277#14579151C2318yes—
278#14579151C2318yes—
279#14579150C2314yes—
280#14579149C2312yes—
281#14579149C2314yes—
282#14579149C2312yes—
283#14579149C2312yes—
284#14579148C2318yes—
285#14579148C2318yes—
286#14579148C2314yes—
287#14579148C2314yes—
288#14579147C2318yes—
289#14579147C2318yes—
290#14579147C2318yes—
291#14579147C2318yes—
292#14579146C2318yes—
293#14579145C2318yes—
294#14579145C2318yes—
295#14579145C2318yes—
296#14579144C2314yes—
297#14579144C2318yes—
298#14579144C2314yes—
299#14579144C2314yes—
300#14579143C2318yes—
301#14579143C2318yes—
302#14579143C2318yes—
303#14579143C2318yes—
304#14579143C2318yes—
305#14579143C2318yes—
306#14579142C2318yes—
307#14579142C2318yes—
308#14579142C2318yes—
309#14579141C2314yes—
310#14579141C2318yes—
311#14579141C2318yes—
312#14579141C2314yes—
313#14579141C2318yes—
314#14579140C2312yes—
315#14579140C2312yes—
316#14579140C2314yes—
317#14579140C2312yes—
318#14579140C2314yes—
319#14579140C2318yes—
320#14579140C2314yes—
321#14579140C2312yes—
322#14579140C2312yes—
323#14579140C2312yes—
324#14579140C2314yes—
325#14579140C2312yes—
326#14579140C2314yes—
327#14579140C2312yes—
328#14579140C2312yes—
329#14579140C2312yes—
330#14579140C2312yes—
331#14579140C2312yes—
332#14579140C2312yes—
333#14579140C2314yes—
334#14579140C2314yes—
335#14579140C2312yes—
336#14579139C2318yes—
337#14579139C2318yes—
338#14579139C2318yes—
339#14579139C2318yes—
340#14579138C2318yes—
341#14579138C2318yes—
342#14579138C2318yes—
343#14579138C2318yes—
344#14579138C2318yes—
345#14579138C2318yes—
346#14579138C2318yes—
347#14579138C2318yes—
348#14579138C2318yes—
349#14579137C2314yes—
350#14579137C2318yes—
351#14579135C2312yes—
352#14579135C2314yes—
353#14579135C2312yes—
354#14579135C2312yes—
355#14579135C2312yes—
356#14579135C2312yes—
357#14579135C2312yes—
358#14579134C2318yes—
359#14579133C2318yes—
360#14579133C2318yes—
361#14579133C2318yes—
362#14579133C2318yes—
363#14579133C2318yes—
364#14579132C2318yes—
365#14579132C2314yes—
366#14579132C2318yes—
367#14579130C2314yes—
368Q8×Dic79C2314yes—
369Q8×Dic79C2314yes—
370Q8×Dic79C2314yes—
371C4×Dic158C2312yes—
372C4×Dic158C2318yes—
373C4×Dic158C2314yes—
374C4×Dic158C2314yes—
375C4×Dic158C2314yes—
376C4×Dic158C2312yes—
377C4×Dic158C2312yes—
378C4×Dic158C2312yes—
379C4×Dic158C2312yes—
380C4×Dic158C2312yes—
381C4×Dic158C2314yes—
382C4×Dic158C2314yes—
383C4×Dic158C2312yes—
384C4×Dic158C2318yes—
385C4×Dic158C2312yes—
386C4×Dic158C2312yes—
387C4×Dic158C2312yes—
388C4×Dic158C2312yes—
389C4×Dic158C2314yes—
390C4×Dic158C2314yes—
391C4×Dic158C2312yes—
392C4×Dic158C2318yes—
393C4×Dic158C2312yes—
394C4×Dic158C2312yes—
395#14579126C2318yes—
396#14579126C2314yes—
397#14579126C2314yes—
398#14579126C2314yes—
399#14579126C2314yes—
400C4×D316C2312yes—
401C4×D316C2314yes—
402C4×D316C2312yes—
403C4×D316C2312yes—
404C4×D316C2312yes—
405C4×D316C2312yes—
406C4×D316C2312yes—
407D4×Dic79C2318yes—
408D4×Dic79C2318yes—
409D4×Dic79C2314yes—
410D4×Dic79C2314yes—
411D4×Dic79C2314yes—
412#14579123C2314yes—
413#14579123C2314yes—
414C4×C22⋊D79C2318yes—
415C4×C22⋊D79C2314yes—
416C4×C22⋊D79C2314yes—
417C4×C22⋊D79C2314yes—
418C4×C22⋊D79C2314yes—
419C4×C22⋊D79C2318yes—
420C4×C22⋊D79C2314yes—
421C4×C22⋊D79C2314yes—
422C4×C22⋊D79C2318yes—
423(C22⋊D79)⋊C4C2318yes—
424(C22⋊D79)⋊C4C2318yes—
425(C22⋊D79)⋊C4C2318yes—
426#14579120C2312yes—
427#14579120C2314yes—
428#14579120C2312yes—
429#14579120C2312yes—
430#14579120C2314yes—
431#14579120C2312yes—
432#14579120C2312yes—
433#14579120C2314yes—
434#14579120C2312yes—
435#14579120C2312yes—
436#14579120C2318yes—
437#14579119C2314yes—
438#14579118C2318yes—
439#14579118C2314yes—
440#14579118C2314yes—
441#14579118C2318yes—
442#14579118C2314yes—
443#14579117C2318yes—
444C2×C4⋊Dic79C2314yes—
445C2×C4⋊Dic79C2312yes—
446C2×C4⋊Dic79C2312yes—
447C2×C4⋊Dic79C2312yes—
448C2×C4⋊Dic79C2312yes—
449C2×Dic79⋊C4C2318yes—
450C2×Dic79⋊C4C2314yes—
451C2×Dic79⋊C4C2314yes—
452C4⋊C4×D79C2314yes—
453C4⋊C4×D79C2318yes—
454C2×C22⋊Dic79C2314yes—
455C2×C4×Dic79C2314yes—
456C2×C4×Dic79C2318yes—
457C42×D79C2314yes—
458C42×D79C2318yes—
459C2×#41×C79C2312yes—
460C2×#41×C79C2312yes—
461C2×#41×C79C2312yes—
462C23×C4×C79C2311yescharacteristic
463C23×C4×C79C2311yescharacteristic
464C23×C4×C79C2311yescharacteristic
465C4⋊Q8×C79C2311yescharacteristic
466C4⋊Q8×C79C2311yescharacteristic
467C4⋊Q8×C79C2311yescharacteristic
468#127×C79C2311yescharacteristic
469#126×C79C2314yes—
470#126×C79C2314yes—
471#125×C79C2312yes—
472#125×C79C2312yes—
473#125×C79C2312yes—
474#124×C79C2312yes—
475#124×C79C2312yes—
476#124×C79C2312yes—
477#123×C79C2314yes—
478#123×C79C2314yes—
479#123×C79C2314yes—
480C22⋊Q8×C79C2312yes—
481C22⋊Q8×C79C2312yes—
482C22⋊Q8×C79C2312yes—
483C22⋊Q8×C79C2312yes—
484C22⋊Q8×C79C2312yes—
485C22⋊Q8×C79C2312yes—
486#121×C79C2312yes—
487#121×C79C2312yes—
488#121×C79C2312yes—
489#121×C79C2312yes—
490#121×C79C2312yes—
491#121×C79C2312yes—
492#120×C79C2314yes—
493C4×Q8×C79C2312yes—
494C4×Q8×C79C2312yes—
495C4×Q8×C79C2312yes—
496C4×Q8×C79C2312yes—
497C4×Q8×C79C2312yes—
498C4×Q8×C79C2312yes—
499C4×D4×C79C2314yes—
500C4×D4×C79C2312yes—
501C4×D4×C79C2312yes—
502C4×D4×C79C2314yes—
503C4×D4×C79C2314yes—
504C4×D4×C79C2312yes—
505C4×D4×C79C2314yes—
506C4×D4×C79C2314yes—
507C4×D4×C79C2314yes—
508C4×D4×C79C2312yes—
509C4×D4×C79C2312yes—
510C4×D4×C79C2312yes—
511#117×C79C2314yes—
512#117×C79C2312yes—
513#117×C79C2312yes—
514#117×C79C2312yes—
515#117×C79C2314yes—
516#117×C79C2314yes—
517C2×C42×C79C2311yescharacteristic
518C2×C42×C79C2311yescharacteristic
519C2×C42×C79C2311yescharacteristic
520C2×C42×C79C2311yescharacteristic
521C2×C42×C79C2311yescharacteristic
522C2×C42×C79C2311yescharacteristic
523C2×C42×C79C2311yescharacteristic
524C2×C42×C79C2311yescharacteristic
525C2×C42×C79C2311yescharacteristic
526C2×C42×C79C2311yescharacteristic
527C2×C42×C79C2311yescharacteristic
528C2×C42×C79C2311yescharacteristic
529C2×C42×C79C2314yes—
530#11929624—28no—
531#11929624—48no—
532#11929624—44no—
533#11929624—44no—
534#11929623—48no—
535C2×Dic158—44no—
536C2×Dic158—44no—
537C2×Dic158—48no—
538C2×Dic158C2412yes—
539C2×Dic158C2412yes—
540C2×Dic158C2412yes—
541C2×Dic158C2412yes—
542C2×Dic158C2412yes—
543C2×Dic158C2412yes—
544C2×Dic158C2418yes—
545C2×Dic158C2418yes—
546C2×Dic158C2414yes—
547C2×Dic158C2414yes—
548C2×Dic158C2412yes—
549Q8×D79—48no—
550C2×D316C2412yes—
551C2×D316C2412yes—
552C2×D316C2412yes—
553C2×C22⋊D79C2414yes—
554C2×C22⋊D79C2418yes—
555C2×C22⋊D79C2414yes—
556C2×C22⋊D79C2414yes—
557C2×C22⋊D79C2418yes—
558C22×Dic79C2414yes—
559C22×Dic79C2414yes—
560C22×Dic79C2418yes—
561C22×Dic79C2418yes—
562C2×C4×D79C2414yes—
563C2×C4×D79C2414yes—
564C2×C4×D79C2418yes—
565C2×C4×D79C2414yes—
566C2×C4×D79C2418yes—
567C4⋊Dic79C2412yes—
568C4⋊Dic79C2418yes—
569C4⋊Dic79C2412yes—
570C4⋊Dic79C2412yes—
571C4⋊Dic79C2412yes—
572C4⋊Dic79C2412yes—
573C4⋊Dic79C2412yes—
574C4⋊Dic79C2414yes—
575C4⋊Dic79C2412yes—
576C4⋊Dic79C2414yes—
577C4⋊Dic79C2412yes—
578C4⋊Dic79C2412yes—
579C4⋊Dic79C2418yes—
580C4⋊Dic79C2414yes—
581C4⋊Dic79C2414yes—
582C4⋊Dic79C2412yes—
583C4⋊Dic79C2412yes—
584C4⋊Dic79C2412yes—
585C4⋊Dic79C2418yes—
586C4⋊Dic79C2418yes—
587C4⋊Dic79C2412yes—
588C4⋊Dic79C2412yes—
589Dic79⋊C4C2414yes—
590Dic79⋊C4C2418yes—
591Dic79⋊C4C2418yes—
592Dic79⋊C4C2414yes—
593Dic79⋊C4C2414yes—
594Dic79⋊C4C2414yes—
595Dic79⋊C4C2414yes—
596Dic79⋊C4C2414yes—
597Dic79⋊C4C2418yes—
598Dic79⋊C4C2414yes—
599Dic79⋊C4C2418yes—
600Dic79⋊C4C2414yes—
601Dic79⋊C4C2414yes—
602Dic79⋊C4C2418yes—
603Dic79⋊C4C2418yes—
604Dic79⋊C4C2418yes—
605Dic79⋊C4C2418yes—
606Dic79⋊C4C2414yes—
607Dic79⋊C4C2414yes—
608Dic79⋊C4C2414yes—
609Dic79⋊C4C2414yes—
610Dic79⋊C4C2414yes—
611C22⋊Dic79C2414yes—
612C22⋊Dic79C2414yes—
613C22⋊Dic79C2414yes—
614C22⋊Dic79C2414yes—
615C22⋊Dic79C2418yes—
616C22⋊Dic79C2414yes—
617C22⋊Dic79C2414yes—
618C22⋊Dic79C2414yes—
619C22⋊Dic79C2418yes—
620C22⋊Dic79C2418yes—
621C22⋊Dic79C2418yes—
622(C2×D79)⋊C4C2414yes—
623(C2×D79)⋊C4C2418yes—
624(C2×D79)⋊C4C2418yes—
625(C2×D79)⋊C4C2414yes—
626(C2×D79)⋊C4C2418yes—
627(C2×D79)⋊C4C2414yes—
628(C2×D79)⋊C4C2414yes—
629(C2×D79)⋊C4C2414yes—
630(C2×D79)⋊C4C2414yes—
631(C2×D79)⋊C4C2418yes—
632C4×Dic79C2414yes—
633C4×Dic79C2414yes—
634C4×Dic79C2414yes—
635C4×Dic79C2418yes—
636C4×Dic79C2414yes—
637C4×Dic79C2418yes—
638C4×Dic79C2414yes—
639C4×Dic79C2418yes—
640C4×Dic79C2414yes—
641C4×Dic79C2414yes—
642C4×Dic79C2418yes—
643C24×C79C2411yescharacteristic
644#41×C79—28no—
645#41×C79—44no—
646#41×C79—44no—
647C2×Q8×C79C2412yes—
648C2×Q8×C79C2412yes—
649C2×Q8×C79C2412yes—
650C2×D4×C79C2412yes—
651C2×D4×C79C2414yes—
652C2×D4×C79C2412yes—
653C2×D4×C79C2414yes—
654C2×D4×C79C2414yes—
655C2×D4×C79C2412yes—
656C22×C4×C79—24no—
657C22×C4×C79—42no—
658C22×C4×C79—42no—
659C22×C4×C79C2411yescharacteristic
660C22×C4×C79C2411yescharacteristic
661C22×C4×C79C2414yes—
662C22×C4×C79C2411yescharacteristic
663C22×C4×C79C2411yescharacteristic
664C22×C4×C79C2411yescharacteristic
665C22×C4×C79C2411yescharacteristic
666C22×C4×C79C2411yescharacteristic
667C22×C4×C79C2411yescharacteristic
668C22×C4×C79C2411yescharacteristic
669C22×C4×C79C2411yescharacteristic
670C22×C4×C79C2411yescharacteristic
671C22×C4×C79C2414yes—
672C22×C4×C79C2411yescharacteristic
673C22×C4×C79C2411yescharacteristic
674C22×C4×C79C2411yescharacteristic
675C22×C4×C79C2411yescharacteristic
676C22×C4×C79C2411yescharacteristic
677C22×C4×C79C2411yescharacteristic
678C22×C4×C79C2414yes—
679C22×C4×C79C2411yescharacteristic
680C4⋊C4×C79C2412yes—
681C4⋊C4×C79C2412yes—
682C4⋊C4×C79C2412yes—
683C4⋊C4×C79C2412yes—
684C4⋊C4×C79C2412yes—
685C4⋊C4×C79C2412yes—
686C4⋊C4×C79C2414yes—
687C4⋊C4×C79C2414yes—
688C4⋊C4×C79C2414yes—
689C4⋊C4×C79C2414yes—
690C4⋊C4×C79C2414yes—
691C4⋊C4×C79C2414yes—
692C22⋊C4×C79C2414yes—
693C22⋊C4×C79C2414yes—
694C22⋊C4×C79C2414yes—
695C22⋊C4×C79C2414yes—
696C22⋊C4×C79C2414yes—
697C22⋊C4×C79C2414yes—
698C22⋊C4×C79C2414yes—
699C22⋊C4×C79C2414yes—
700C22⋊C4×C79C2414yes—
701C42×C79C2411yescharacteristic
702C42×C79C2411yescharacteristic
703C42×C79C2411yescharacteristic
704C42×C79C2411yescharacteristic
705C42×C79C2411yescharacteristic
706C42×C79C2411yescharacteristic
707C42×C79C2411yescharacteristic
708C42×C79C2411yescharacteristic
709C42×C79C2411yescharacteristic
710C42×C79C2411yescharacteristic
711C42×C79C2411yescharacteristic
712C42×C79C2411yescharacteristic
713C42×C79C2411yescharacteristic
714C42×C79C2411yescharacteristic
715C42×C79C2411yescharacteristic
716C42×C79C2411yescharacteristic
717C42×C79C2414yes—
718C42×C79C2414yes—
719C42×C79C2414yes—
720C23×C79—22no—
721C23×C79—41no—
722C23×C79—41no—
723C23×C79C2511yescharacteristic
724C23×C79C2511yescharacteristic
725C23×C79C2514yes—
726C23×C79C2511yescharacteristic
727C22×D79C2514yes—
728Q8×C79—24no—
729Q8×C79—24no—
730Q8×C79—42no—
731D4×C79—28no—
732D4×C79—24no—
733D4×C79—24no—
734D4×C79—42no—
735D4×C79—44no—
736D4×C79—44no—
737C2×C4×C79—22no—
738C2×C4×C79—22no—
739C2×C4×C79—22no—
740C2×C4×C79—22no—
741C2×C4×C79—22no—
742C2×C4×C79—28no—
743C2×C4×C79—22no—
744C2×C4×C79—22no—
745C2×C4×C79—28no—
746C2×C4×C79—22no—
747C2×C4×C79—22no—
748C2×C4×C79—22no—
749C2×C4×C79—22no—
750C2×C4×C79—41no—
751C2×C4×C79—41no—
752C2×C4×C79—41no—
753C2×C4×C79—41no—
754C2×C4×C79—41no—
755C2×C4×C79—41no—
756C2×C4×C79—44no—
757C2×C4×C792−1+414yes—
758C2×C4×C79C2514yes—
759C2×C4×C79C2511yescharacteristic
760C2×C4×C79C2514yes—
761C2×C4×C79C2514yes—
762C2×C4×C79C2511yescharacteristic
763C2×C4×C79C2511yescharacteristic
764C2×C4×C79C2511yescharacteristic
765C2×C4×C79C2511yescharacteristic
766C2×C4×C79C2511yescharacteristic
767C2×C4×C79C2511yescharacteristic
768C2×C4×C79C2511yescharacteristic
769C2×C4×C79C2511yescharacteristic
770C2×C4×C79C2511yescharacteristic
771C2×C4×C79C2511yescharacteristic
772C2×C4×C79C2511yescharacteristic
773C22⋊D79—28no—
774C22⋊D79—48no—
775C22⋊D79—48no—
776C22⋊D79—44no—
777C22⋊D79—44no—
778C2×Dic79—44no—
779C2×Dic79—44no—
780C2×Dic79—48no—
781C2×Dic79—48no—
782C2×Dic79C2514yes—
783C2×Dic79C2514yes—
784C2×Dic79C2514yes—
785C2×Dic79C2514yes—
786C2×Dic79C2514yes—
787C2×Dic79C2514yes—
788C2×Dic79C2514yes—
789D316—24no—
790D316—24no—
791D316—42no—
792C4×D79—28no—
793C4×D79—28no—
794C4×D79—48no—
795C4×D79—48no—
796C4×D79—44no—
797Dic158—24no—
798Dic158—24no—
799Dic158—24no—
800Dic158—24no—
801Dic158—24no—
802Dic158—24no—
803Dic158—48no—
804Dic158—44no—
805Dic158—44no—
806Dic158—48no—
807Dic158—42no—
808C22×C79—21no—
809C22×C79—21no—
810C22×C79—21no—
811C22×C79—21no—
812C22×C79—24no—
813C22×C79—21no—
814C22×C79—21no—
815C22×C79—24no—
816C22×C79—24no—
817C22×C79—21no—
818C22×C79—21no—
819C22×C79—44no—
820C22×C79C2×2−1+412yes—
821C22×C79C2611yescharacteristic
822C2×D79—24no—
823C2×D79—24no—
824C2×D79—24no—
825C4×C79—21no—
826C4×C79—21no—
827C4×C79—24no—
828C4×C79—21no—
829C4×C79—21no—
830C4×C79—21no—
831C4×C79—21no—
832C4×C79—21no—
833C4×C79—21no—
834C4×C79—24no—
835C4×C79—24no—
836C4×C79C2×2−1+412yes—
837C4×C79C2×2−1+412yes—
838C4×C79#58512yes—
839C4×C79#58512yes—
840Dic79—24no—
841Dic79—24no—
842Dic79—24no—
843Dic79—24no—
844Dic79—24no—
845Dic79—24no—
846Dic79—24no—
847#62761—791nomaximal, Sylow
848C2×C79—22no—
849C2×C79—44no—
850C2×C79—41no—
851C2×C79—41no—
852C2×C79C22×2−1+411yescharacteristic
853C2×C79C2×#58511yescharacteristic
854C2×C79C2×#58511yescharacteristic
855D79—44no—
856#3557—794no—
857#3556—791no—
858#3555—792no—
859#3555—792no—
860#3554—792no—
861#3554—792no—
862#3553—794no—
863#3552—792no—
864#3552—792no—
865#3550—791no—
866#3550—791no—
867#3548—791no—
868#3541—794no—
869#3541—794no—
870#3531—794no—
871#3482—792no—
872#3482—792no—
873#3480—792no—
874#3480—792no—
875Q8×#41—792no—
876Q8×#41—792no—
877#3461—794no—
878#3461—794no—
879#3455—794no—
880#3444—791no—
881#3444D7911yescharacteristic, complemented
882C2×#533—791no—
883C79#6276111yescharacteristic, complemented, Sylow
884#564—794no—
885#563—798no—
886#563—798no—
887#563—794no—
888#563—794no—
889#563—798no—
890#563—798no—
891#562—794no—
892#562—798no—
893#562—798no—
894#559—792no—
895#559—794no—
896#559—792no—
897#559—794no—
898Q82—792no—
899Q82—792no—
900#557—792no—
901#557—792no—
902#557—794no—
903#557—794no—
904#557—792no—
905#557—792no—
906#557—792no—
907#557—792no—
908#556—792no—
909#556—794no—
910#556—794no—
911#556—792no—
912#556—794no—
913#556—792no—
914#556—792no—
915#556—794no—
916#554—792no—
917#554—794no—
918#554—798no—
919#554—794no—
920#554—794no—
921#554—792no—
922#554—798no—
923#554—794no—
924#553—798no—
925#553—794no—
926#553—794no—
927#553—798no—
928#552—794no—
929#552—798no—
930#552—794no—
931#552—798no—
932#550—792no—
933#550—792no—
934D4×Q8—792no—
935D4×Q8—794no—
936D4×Q8—792no—
937D4×Q8—794no—
938D4×Q8—792no—
939D4×Q8—792no—
940#548—794no—
941#548—794no—
942#548—794no—
943#548—794no—
944#547—794no—
945#547—792no—
946#547—794no—
947#547—792no—
948#544—794no—
949#544—794no—
950#542—794no—
951#542—798no—
952#542—794no—
953#542—794no—
954#542—794no—
955#542—794no—
956#542—794no—
957#542—798no—
958#542—794no—
959#542—794no—
960#541—798no—
961#541—794no—
962#541—794no—
963#541—794no—
964#541—794no—
965#541—798no—
966#541—794no—
967#541—794no—
968#540—794no—
969#540—794no—
970#539—798no—
971#539—798no—
972#539—798no—
973#539—798no—
974#539—798no—
975#539—798no—
976#538—798no—
977#538—798no—
978#537—794no—
979#537—794no—
980#536—794no—
981#536—794no—
982#536—794no—
983#536—794no—
984#533—794no—
985#533—798no—
986#533—794no—
987#533—798no—
988#533—792no—
989#533—792no—
990#533—791no—
991#533—791no—
992#533—792no—
993#533—791no—
994#533—791no—
995#533—792no—
996#533—792no—
997#533—792no—
998#533—791no—
999#533—791no—
1000#533—791no—
1001#533—794no—
1002#533C2×D7911yescharacteristic
1003#533C2×D7911yescharacteristic
1004#533C2×D7911yescharacteristic
1005#532—794no—
1006#532—791no—
1007#532—791no—
1008#532—791no—
1009#532C2×D7911yescharacteristic
1010#532C2×D7911yescharacteristic
1011#532C2×D7911yescharacteristic
1012C2×C4⋊Q8—791no—
1013C2×C4⋊Q8—791no—
1014#529—798no—
1015#529—798no—
1016#529—798no—
1017#529—798no—
1018#529—794no—
1019#529—798no—
1020#529—798no—
1021#529—792no—
1022#529—792no—
1023#529—792no—
1024#529—792no—
1025#529—792no—
1026#529—792no—
1027#529—794no—
1028#529C2×D7912yes—
1029#529C2×D7912yes—
1030#529C2×D7912yes—
1031#529C2×D7912yes—
1032#529C2×D7912yes—
1033#529C2×D7912yes—
1034C2×#125—792no—
1035#525—792no—
1036#525—792no—
1037#525—792no—
1038#525C2×D7912yes—
1039#525C2×D7912yes—
1040#525C2×D7912yes—
1041C2×C22⋊Q8—792no—
1042C2×C22⋊Q8—792no—
1043C4×#41—794no—
1044C4×#41—794no—
1045C4×#41—794no—
1046C4×#41—792no—
1047C4×#41—792no—
1048C4×#41—792no—
1049C4×#41—794no—
1050C4×#41C2×D7912yes—
1051C4×#41C2×D7912yes—
1052C4×#41C2×D7912yes—
1053C2×C4×Q8—794no—
1054C2×C4×Q8—792no—
1055C2×C4×Q8—792no—
1056C2×C4×Q8—794no—
1057C2×#117—792no—
1058C22×C42C2×D7911yescharacteristic
1059C2×#41—794no—
1060C2×#41—792no—
1061C2×#41—792no—
1062C2×#41—794no—
1063C2×#41—792no—
1064C2×#41C22×D7912yes—
1065C2×#41C22×D7912yes—
1066C2×#41C22×D7912yes—
1067C22×Q8—794no—
1068C22×Q8—792no—
1069C22×Q8—792no—
1070C22×Q8—794no—
1071C23×C4C22×D7911yescharacteristic
1072C23×C4C22×D7911yescharacteristic
1073C23×C4C22×D7911yescharacteristic
1074C4⋊Q8—794no—
1075C4⋊Q8—794no—
1076C4⋊Q8—798no—
1077C4⋊Q8—798no—
1078C4⋊Q8—794no—
1079C4⋊Q8—794no—
1080C4⋊Q8—794no—
1081C4⋊Q8—798no—
1082C4⋊Q8—798no—
1083C4⋊Q8—792no—
1084C4⋊Q8—792no—
1085C4⋊Q8—792no—
1086C4⋊Q8—792no—
1087C4⋊Q8—791no—
1088C4⋊Q8—791no—
1089C4⋊Q8—791no—
1090C4⋊Q8—791no—
1091C4⋊Q8—792no—
1092C4⋊Q8—792no—
1093C4⋊Q8—791no—
1094C4⋊Q8—791no—
1095C4⋊Q8—791no—
1096C4⋊Q8—794no—
1097C4⋊Q8—794no—
1098C4⋊Q8C22×D7911yescharacteristic
1099C4⋊Q8C22×D7911yescharacteristic
1100C4⋊Q8C22×D7911yescharacteristic
1101#127—794no—
1102#127—791no—
1103#127C22×D7911yescharacteristic
1104#126—798no—
1105#126—798no—
1106#126—798no—
1107#126—798no—
1108#126—798no—
1109#126—798no—
1110#126—798no—
1111#126—798no—
1112#126—798no—
1113#126—798no—
1114#126—798no—
1115#126—798no—
1116#126—798no—
1117#126—794no—
1118#126—794no—
1119#126—798no—
1120#126C22×D7914yes—
1121#126C22×D7914yes—
1122#125—798no—
1123#125—798no—
1124#125—798no—
1125#125—798no—
1126#125—798no—
1127#125—798no—
1128#125—794no—
1129#125—798no—
1130#125—798no—
1131#125—798no—
1132#125—798no—
1133#125—798no—
1134#125—794no—
1135#125—794no—
1136#125—794no—
1137#125—794no—
1138#125—792no—
1139#125—792no—
1140#125—792no—
1141#125—792no—
1142#125—792no—
1143#125—792no—
1144#125—792no—
1145#125—794no—
1146#125—798no—
1147#125C22×D7912yes—
1148#125C22×D7912yes—
1149#125C22×D7912yes—
1150#124—794no—
1151#124—798no—
1152#124—794no—
1153#124—798no—
1154#124—794no—
1155#124—798no—
1156#124—798no—
1157#124—798no—
1158#124—798no—
1159#124—792no—
1160#124—792no—
1161#124—792no—
1162#124—794no—
1163#124C22×D7912yes—
1164#124C22×D7912yes—
1165#124C22×D7912yes—
1166#123—798no—
1167#123—798no—
1168#123—798no—
1169#123—794no—
1170#123—794no—
1171#123—794no—
1172#123—798no—
1173#123—798no—
1174#123—798no—
1175#123—798no—
1176#123—798no—
1177#123—798no—
1178#123—798no—
1179#123—798no—
1180#123—798no—
1181#123—798no—
1182#123—798no—
1183#123C22×D7914yes—
1184#123C22×D7914yes—
1185#123C22×D7914yes—
1186C22⋊Q8—794no—
1187C22⋊Q8—798no—
1188C22⋊Q8—792no—
1189C22⋊Q8—792no—
1190C22⋊Q8—792no—
1191C22⋊Q8—792no—
1192C22⋊Q8—794no—
1193C22⋊Q8—794no—
1194C22⋊Q8—792no—
1195C22⋊Q8—792no—
1196C22⋊Q8—792no—
1197C22⋊Q8—792no—
1198C22⋊Q8—794no—
1199C22⋊Q8—794no—
1200C22⋊Q8—792no—
1201C22⋊Q8—792no—
1202C22⋊Q8—792no—
1203C22⋊Q8—792no—
1204C22⋊Q8—792no—
1205C22⋊Q8—792no—
1206C22⋊Q8—794no—
1207C22⋊Q8—794no—
1208C22⋊Q8—794no—
1209C22⋊Q8—798no—
1210C22⋊Q8—798no—
1211C22⋊Q8—794no—
1212C22⋊Q8—798no—
1213C22⋊Q8—798no—
1214C22⋊Q8—798no—
1215C22⋊Q8—794no—
1216C22⋊Q8—798no—
1217C22⋊Q8—798no—
1218C22⋊Q8—798no—
1219C22⋊Q8—798no—
1220C22⋊Q8—798no—
1221C22⋊Q8—798no—
1222C22⋊Q8—798no—
1223C22⋊Q8—798no—
1224C22⋊Q8—798no—
1225C22⋊Q8—798no—
1226C22⋊Q8—798no—
1227C22⋊Q8—798no—
1228C22⋊Q8C22×D7912yes—
1229C22⋊Q8C22×D7912yes—
1230C22⋊Q8C22×D7912yes—
1231C22⋊Q8C22×D7912yes—
1232C22⋊Q8C22×D7912yes—
1233C22⋊Q8C22×D7912yes—
1234#121—798no—
1235#121—798no—
1236#121—798no—
1237#121—794no—
1238#121—798no—
1239#121—798no—
1240#121—798no—
1241#121—798no—
1242#121—792no—
1243#121—792no—
1244#121—792no—
1245#121—792no—
1246#121—792no—
1247#121—792no—
1248#121—794no—
1249#121—798no—
1250#121C22×D7912yes—
1251#121C22×D7912yes—
1252#121C22×D7912yes—
1253#121C22×D7912yes—
1254#121C22×D7912yes—
1255#121C22×D7912yes—
1256#120—794no—
1257#120C22×D7914yes—
1258C4×Q8—794no—
1259C4×Q8—794no—
1260C4×Q8—794no—
1261C4×Q8—794no—
1262C4×Q8—798no—
1263C4×Q8—794no—
1264C4×Q8—794no—
1265C4×Q8—794no—
1266C4×Q8—792no—
1267C4×Q8—792no—
1268C4×Q8—792no—
1269C4×Q8—792no—
1270C4×Q8—792no—
1271C4×Q8—798no—
1272C4×Q8—798no—
1273C4×Q8—794no—
1274C4×Q8—794no—
1275C4×Q8—792no—
1276C4×Q8—792no—
1277C4×Q8—792no—
1278C4×Q8—792no—
1279C4×Q8—794no—
1280C4×Q8—794no—
1281C4×Q8—794no—
1282C4×Q8—794no—
1283C4×Q8—798no—
1284C4×Q8—792no—
1285C4×Q8—792no—
1286C4×Q8—792no—
1287C4×Q8—792no—
1288C4×Q8—792no—
1289C4×Q8—794no—
1290C4×Q8C22×D7912yes—
1291C4×Q8C22×D7912yes—
1292C4×Q8C22×D7912yes—
1293C4×Q8C22×D7912yes—
1294C4×Q8C22×D7912yes—
1295C4×Q8C22×D7912yes—
1296C4×D4—798no—
1297C4×D4—798no—
1298C4×D4—794no—
1299C4×D4—794no—
1300C4×D4—794no—
1301C4×D4—794no—
1302C4×D4—794no—
1303C4×D4—794no—
1304C4×D4—794no—
1305C4×D4—794no—
1306C4×D4—794no—
1307C4×D4—798no—
1308C4×D4—798no—
1309C4×D4—798no—
1310C4×D4—794no—
1311C4×D4—794no—
1312C4×D4—798no—
1313C4×D4—798no—
1314C4×D4—798no—
1315C4×D4—792no—
1316C4×D4—792no—
1317C4×D4—792no—
1318C4×D4—792no—
1319C4×D4—792no—
1320C4×D4—792no—
1321C4×D4—794no—
1322C4×D4C22×D7912yes—
1323C4×D4C22×D7914yes—
1324C4×D4C22×D7914yes—
1325C4×D4C22×D7914yes—
1326C4×D4C22×D7914yes—
1327C4×D4C22×D7914yes—
1328C4×D4C22×D7914yes—
1329C4×D4C22×D7912yes—
1330C4×D4C22×D7912yes—
1331C4×D4C22×D7912yes—
1332C4×D4C22×D7912yes—
1333C4×D4C22×D7912yes—
1334#117—794no—
1335#117—792no—
1336#117—792no—
1337#117—792no—
1338#117—794no—
1339#117—792no—
1340#117—792no—
1341#117—792no—
1342#117—792no—
1343#117—798no—
1344#117—794no—
1345#117—794no—
1346#117—798no—
1347#117—798no—
1348#117—794no—
1349#117—794no—
1350#117—794no—
1351#117—798no—
1352#117C22×D7912yes—
1353#117C22×D7912yes—
1354#117C22×D7912yes—
1355#117C22×D7914yes—
1356#117C22×D7914yes—
1357#117C22×D7914yes—
1358C2×C4⋊C4—792no—
1359C2×C4⋊C4—792no—
1360C2×C4⋊C4—794no—
1361C2×C4⋊C4—794no—
1362C2×C4⋊C4—792no—
1363C2×C4⋊C4—792no—
1364C2×C4⋊C4—794no—
1365C2×C4⋊C4—798no—
1366C2×C4⋊C4—794no—
1367C2×C4⋊C4—798no—
1368C2×C22⋊C4—794no—
1369C2×C42—794no—
1370C2×C42—798no—
1371C2×C42—794no—
1372C2×C42—798no—
1373C2×C42C22×D7911yescharacteristic
1374C2×C42C22×D7911yescharacteristic
1375C2×C42C22×D7914yes—
1376C2×C42C22×D7911yescharacteristic
1377C2×C42C22×D7911yescharacteristic
1378C2×C42C22×D7911yescharacteristic
1379C2×C42C22×D7911yescharacteristic
1380C2×C42C22×D7911yescharacteristic
1381C2×C42C22×D7911yescharacteristic
1382C2×C42C22×D7911yescharacteristic
1383C2×C42C22×D7911yescharacteristic
1384C2×C42C22×D7911yescharacteristic
1385C2×C42C22×D7911yescharacteristic
1386C24C23×D7911yescharacteristic
1387#41—28no—
1388#41—44no—
1389#41—44no—
1390#41—3164no—
1391#41—3168no—
1392#41—3164no—
1393#41—3168no—
1394#41—1588no—
1395C2×Q8—3164no—
1396C2×Q8—3164no—
1397C2×Q8—3168no—
1398C2×Q8—3168no—
1399C2×Q8—798no—
1400C2×Q8—798no—
1401C2×Q8—794no—
1402C2×Q8—794no—
1403C2×Q8—792no—
1404C2×Q8—792no—
1405C2×Q8—792no—
1406C2×Q8—792no—
1407C2×Q8—792no—
1408C2×Q8—792no—
1409C2×Q8—792no—
1410C2×Q8C23×D7912yes—
1411C2×Q8C23×D7912yes—
1412C2×Q8C23×D7912yes—
1413C2×D4—794no—
1414C2×D4—794no—
1415C2×D4—798no—
1416C2×D4—798no—
1417C2×D4—794no—
1418C2×D4—792no—
1419C2×D4—792no—
1420C2×D4—792no—
1421C2×D4C23×D7914yes—
1422C2×D4C23×D7912yes—
1423C2×D4C23×D7912yes—
1424C2×D4C23×D7914yes—
1425C2×D4C23×D7914yes—
1426C2×D4C23×D7912yes—
1427C22×C4—24no—
1428C22×C4—42no—
1429C22×C4—42no—
1430C22×C4—794no—
1431C22×C4—794no—
1432C22×C4—798no—
1433C22×C4—798no—
1434C22×C4—794no—
1435C22×C4—798no—
1436C22×C4—798no—
1437C22×C4—794no—
1438C22×C4—794no—
1439C22×C4C23×D7911yescharacteristic
1440C22×C4C23×D7911yescharacteristic
1441C22×C4C23×D7911yescharacteristic
1442C22×C4C23×D7911yescharacteristic
1443C22×C4C23×D7911yescharacteristic
1444C22×C4C23×D7911yescharacteristic
1445C22×C4C23×D7911yescharacteristic
1446C22×C4C23×D7911yescharacteristic
1447C22×C4C23×D7911yescharacteristic
1448C22×C4C23×D7914yes—
1449C22×C4C23×D7914yes—
1450C22×C4C23×D7911yescharacteristic
1451C22×C4C23×D7911yescharacteristic
1452C22×C4C23×D7911yescharacteristic
1453C22×C4C23×D7911yescharacteristic
1454C22×C4C23×D7911yescharacteristic
1455C22×C4C23×D7911yescharacteristic
1456C22×C4C23×D7911yescharacteristic
1457C22×C4C23×D7911yescharacteristic
1458C22×C4C23×D7914yes—
1459C22×C4C23×D7911yescharacteristic
1460C4⋊C4—794no—
1461C4⋊C4—794no—
1462C4⋊C4—794no—
1463C4⋊C4—794no—
1464C4⋊C4—794no—
1465C4⋊C4—794no—
1466C4⋊C4—794no—
1467C4⋊C4—798no—
1468C4⋊C4—798no—
1469C4⋊C4—794no—
1470C4⋊C4—794no—
1471C4⋊C4—798no—
1472C4⋊C4—798no—
1473C4⋊C4—798no—
1474C4⋊C4—798no—
1475C4⋊C4—794no—
1476C4⋊C4—794no—
1477C4⋊C4—794no—
1478C4⋊C4—798no—
1479C4⋊C4—794no—
1480C4⋊C4—794no—
1481C4⋊C4—798no—
1482C4⋊C4—792no—
1483C4⋊C4—792no—
1484C4⋊C4—792no—
1485C4⋊C4—792no—
1486C4⋊C4—792no—
1487C4⋊C4—792no—
1488C4⋊C4—792no—
1489C4⋊C4—794no—
1490C4⋊C4—794no—
1491C4⋊C4—792no—
1492C4⋊C4—792no—
1493C4⋊C4—798no—
1494C4⋊C4—798no—
1495C4⋊C4—794no—
1496C4⋊C4—794no—
1497C4⋊C4—792no—
1498C4⋊C4—792no—
1499C4⋊C4—792no—
1500C4⋊C4—792no—
1501C4⋊C4—792no—
1502C4⋊C4—798no—
1503C4⋊C4—798no—
1504C4⋊C4C23×D7912yes—
1505C4⋊C4C23×D7914yes—
1506C4⋊C4C23×D7912yes—
1507C4⋊C4C23×D7912yes—
1508C4⋊C4C23×D7912yes—
1509C4⋊C4C23×D7912yes—
1510C4⋊C4C23×D7912yes—
1511C4⋊C4C23×D7914yes—
1512C4⋊C4C23×D7914yes—
1513C4⋊C4C23×D7914yes—
1514C4⋊C4C23×D7914yes—
1515C4⋊C4C23×D7914yes—
1516C22⋊C4—794no—
1517C22⋊C4—794no—
1518C22⋊C4—794no—
1519C22⋊C4—794no—
1520C22⋊C4—794no—
1521C22⋊C4—794no—
1522C22⋊C4—794no—
1523C22⋊C4—798no—
1524C22⋊C4—798no—
1525C22⋊C4—798no—
1526C22⋊C4—798no—
1527C22⋊C4—794no—
1528C22⋊C4—794no—
1529C22⋊C4—798no—
1530C22⋊C4—798no—
1531C22⋊C4—794no—
1532C22⋊C4—794no—
1533C22⋊C4—794no—
1534C22⋊C4—794no—
1535C22⋊C4—798no—
1536C22⋊C4—798no—
1537C22⋊C4C23×D7914yes—
1538C22⋊C4C23×D7914yes—
1539C22⋊C4C23×D7914yes—
1540C22⋊C4C23×D7914yes—
1541C22⋊C4C23×D7914yes—
1542C22⋊C4C23×D7914yes—
1543C22⋊C4C23×D7914yes—
1544C22⋊C4C23×D7914yes—
1545C22⋊C4C23×D7914yes—
1546C42—794no—
1547C42—794no—
1548C42—794no—
1549C42—794no—
1550C42—798no—
1551C42—798no—
1552C42—798no—
1553C42—798no—
1554C42—794no—
1555C42—794no—
1556C42—794no—
1557C42C23×D7911yescharacteristic
1558C42C23×D7911yescharacteristic
1559C42C23×D7911yescharacteristic
1560C42C23×D7911yescharacteristic
1561C42C23×D7911yescharacteristic
1562C42C23×D7911yescharacteristic
1563C42C23×D7911yescharacteristic
1564C42C23×D7911yescharacteristic
1565C42C23×D7911yescharacteristic
1566C42C23×D7911yescharacteristic
1567C42C23×D7911yescharacteristic
1568C42C23×D7911yescharacteristic
1569C42C23×D7914yes—
1570C42C23×D7914yes—
1571C42C23×D7911yescharacteristic
1572C42C23×D7914yes—
1573C42C23×D7911yescharacteristic
1574C42C23×D7911yescharacteristic
1575C42C23×D7911yescharacteristic
1576C23—22no—
1577C23—41no—
1578C23—41no—
1579C23—794no—
1580C23C24×D7911yescharacteristic
1581C23C24×D7911yescharacteristic
1582C23C24×D7914yes—
1583C23C24×D7911yescharacteristic
1584Q8—24no—
1585Q8—24no—
1586Q8—42no—
1587Q8—3164no—
1588Q8—3164no—
1589Q8—3168no—
1590Q8—3168no—
1591Q8—3162no—
1592Q8—1584no—
1593Q8—1584no—
1594Q8—1584no—
1595Q8—1584no—
1596Q8—1584no—
1597Q8—1584no—
1598D4—28no—
1599D4—24no—
1600D4—24no—
1601D4—42no—
1602D4—44no—
1603D4—44no—
1604D4—3162no—
1605D4—3168no—
1606D4—3168no—
1607D4—3164no—
1608D4—3164no—
1609D4—1588no—
1610D4—1584no—
1611D4—1584no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—28no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—28no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—44no—
1632C2×C4—3168no—
1633C2×C4—3164no—
1634C2×C4—3168no—
1635C2×C4—3164no—
1636C2×C4—3164no—
1637C2×C4—3168no—
1638C2×C4—3168no—
1639C2×C4—794no—
1640C2×C4—794no—
1641C2×C4—794no—
1642C2×C4—794no—
1643C2×C4—794no—
1644C2×C4—794no—
1645C2×C4—794no—
1646C2×C4—1588no—
1647C2×C4—1588no—
1648C2×C4#1457920814yes—
1649C2×C4C24×D7911yescharacteristic
1650C2×C4C24×D7914yes—
1651C2×C4C24×D7914yes—
1652C2×C4C24×D7914yes—
1653C2×C4C24×D7911yescharacteristic
1654C2×C4C24×D7911yescharacteristic
1655C2×C4C24×D7911yescharacteristic
1656C2×C4C24×D7911yescharacteristic
1657C2×C4C24×D7911yescharacteristic
1658C2×C4C24×D7911yescharacteristic
1659C2×C4C24×D7911yescharacteristic
1660C2×C4C24×D7911yescharacteristic
1661C2×C4C24×D7911yescharacteristic
1662C2×C4C24×D7911yescharacteristic
1663C2×C4C24×D7911yescharacteristic
1664C22—21no—
1665C22—21no—
1666C22—21no—
1667C22—21no—
1668C22—24no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—24no—
1674C22—24no—
1675C22—44no—
1676C22—1584no—
1677C22—1584no—
1678C22—1584no—
1679C22C2×#1457920812yes—
1680C22C25×D7911yescharacteristic
1681C4—21no—
1682C4—21no—
1683C4—24no—
1684C4—21no—
1685C4—21no—
1686C4—21no—
1687C4—21no—
1688C4—21no—
1689C4—21no—
1690C4—24no—
1691C4—24no—
1692C4—1584no—
1693C4—1584no—
1694C4—1584no—
1695C4—1584no—
1696C4—1584no—
1697C4—1584no—
1698C4—1584no—
1699C4C2×#1457920812yes—
1700C4C2×#1457920812yes—
1701C4#1909939912yes—
1702C4#1909939912yes—
1703C2—22no—
1704C2—41no—
1705C2—41no—
1706C2—44no—
1707C2—3164no—
1708C2C22×#1457920811yescharacteristic
1709C2C2×#1909939911yescharacteristic
1710C2C2×#1909939911yescharacteristic
subgroupG/H
centerC2×C4C24×D79
commutator, socle, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC79×#3444C2
hypercenter#3444D79
hypocenterC79#62761
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ #3444

Complements

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

NH ≅ G/Ntype
1. #23777902C2semidirect
2. #23777895C2semidirect
3. #23777890C2semidirect
4. #23777882C2semidirect
5. #23777873C2semidirect
6. #23777865C2semidirect
7. #23777853C2semidirect
8. #23777845C2semidirect
9. #23777837C2semidirect
10. #23777814C2semidirect
11. #23777811C2semidirect
12. #23777798C2semidirect
13. #23777693C2semidirect
14. #23777685C2semidirect
15. #23777545C2semidirect
16. #23777022C2semidirect
17. #23777015C2semidirect
18. #23776997C2semidirect
19. #23776993C2semidirect
20. #41×Dic158C2semidirect
21. #23776978C2semidirect
22. #23776827C2semidirect
23. #23776825C2semidirect
24. #23776788C2semidirect
25. #23776696C2semidirect
26. C2×#19099120C2semidirect
27. C79×#3444C2semidirect
28. C79⋊#564C22semidirect
29. #19099317C22semidirect
31. #19099315C22semidirect
32. #19099315C22semidirect
34. #19099313C22semidirect
37. #19099307C22semidirect
38. #19099299C22semidirect
39. #19099298C22semidirect
40. #19099296C22semidirect
41. #19099295C22semidirect
42. Q8×Dic158C22semidirect
43. #19099293C22semidirect
44. #19099292C22semidirect
45. #19099292C22semidirect
46. #19099291C22semidirect
47. #19099291C22semidirect
48. #19099290C22semidirect
49. #19099289C22semidirect
50. #19099288C22semidirect
51. #19099288C22semidirect
52. #19099287C22semidirect
53. #19099286C22semidirect
54. #19099285C22semidirect
56. #19099283C22semidirect
57. #19099283C22semidirect
58. #19099282C22semidirect
60. #19099274C22semidirect
62. #19099272C22semidirect
65. #19099270C22semidirect
66. #19099269C22semidirect
74. #19099252C22semidirect
75. #19099246C22semidirect
76. #19099234C22semidirect
77. #19099233C22semidirect
78. Q8×D316C22semidirect
80. D4×Dic158C22semidirect
81. D4×Dic158C22semidirect
82. #19099228C22semidirect
89. #19099218C22semidirect
90. #19099217C22semidirect
92. #19099193C22semidirect
93. #19099191C22semidirect
97. #19099184C22semidirect
98. #19099182C22semidirect
104. #19099176C22semidirect
106. #19099175C22semidirect
110. #19099171C22semidirect
111. #19099170C22semidirect
118. #19099155C22semidirect
119. #19099154C22semidirect
124. #19099139C22semidirect
127. #19099133C22semidirect
141. #19099120C22semidirect
142. #19099117C22semidirect
143. #19099117C22semidirect
145. #19099116C22semidirect
158. #19099097C22semidirect
161. #19099095C22semidirect
164. #19099093C22semidirect
165. #19099091C22semidirect
176. C4×#11929624C22semidirect
178. C4×#11929623C22semidirect
181. C2×C4×Dic158C22semidirect
182. C4×Q8×D79C22semidirect
881. #3444D79semidirect
883. C79#62761semidirect

Maximal subgroups

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

subgroupindex
#237779022
#237778952
#237778902
#237778822
#237778732
#237778652
#237778532
#237778452
#237778372
#237778142
#237778112
#237777982
#237776932
#237776852
#237775452
#237770222
#237770152
#237769972
#237769932
#41×Dic1582
#237769782
#237768272
#237768252
#237767882
#237766962
C2×#190991202
C79×#34442
#6276179