Finite Group Databasebeta

← #35196119

Subgroups — #35196119

Order 20224.

6518 conjugacy classes of subgroups.

The subgroup lattice has 1798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777896C214yesmaximal, complemented
2#23777894C211yesmaximal, characteristic, complemented
3#23777881C214yesmaximal, complemented
4#23777864C214yesmaximal, complemented
5#23777856C211yesmaximal, characteristic, complemented
6#23777853C212yesmaximal, complemented
7#23777833C214yesmaximal, complemented
8#23777810C212yesmaximal, complemented
9#23777796C211yesmaximal, characteristic, complemented
10#23777686C214yesmaximal, complemented
11#23777678C214yesmaximal, complemented
12#23777548C211yesmaximal, characteristic, complemented
13#23777546C212yesmaximal, complemented
14#23777544C211yesmaximal, characteristic, complemented
15#23777014C214yesmaximal, complemented
16#23776994C214yesmaximal, complemented
17#23776979C214yesmaximal, complemented
18#23776832C214yesmaximal, complemented
19#23776830C214yesmaximal, complemented
20#23776786C214yesmaximal, complemented
21#23776694C212yesmaximal, complemented
22C2×#19099119C211yesmaximal, characteristic, complemented
23C79×#3553C211yesmaximal, characteristic, complemented
24C79⋊#564C2211yescharacteristic, complemented
25C79⋊#564C2212yescomplemented
26#19099317C2214yes—
27#19099317C2212yescomplemented
28#19099317C2212yescomplemented
29#19099317C2214yescomplemented
30#19099316C2214yescomplemented
31#19099315C2214yes—
32#19099315C2214yescomplemented
33#19099314C2214yes—
34#19099314C2214yescomplemented
35#19099313C2212yescomplemented
36#19099312C2214yes—
37#19099311C2214yes—
38#19099311C2211yescharacteristic, complemented
39#19099310C2214yes—
40#19099309C2214yes—
41#19099308C2214yes—
42#19099307C2212yescomplemented
43#19099297C2214yescomplemented
44#19099297C2214yescomplemented
45#19099296C2214yescomplemented
46#19099293C2214yescomplemented
47#19099291C2214yescomplemented
48#19099290C2214yescomplemented
49#19099290C2214yescomplemented
50#19099290C2214yescomplemented
51#19099290C2214yescomplemented
52#19099285C2214yes—
53#19099281C2214yescomplemented
54#19099280C2214yes—
55#19099280C2214yescomplemented
56#19099280C2214yescomplemented
57#19099280C2214yescomplemented
58#19099272C2214yes—
59#19099272C2214yes—
60#19099268C2214yes—
61#19099268C2214yescomplemented
62#19099267C2214yes—
63#19099267C2214yes—
64#19099267C2214yescomplemented
65#19099267C2214yescomplemented
66#19099262C2214yes—
67#19099262C2214yes—
68#19099261C2214yes—
69#19099256C2214yes—
70#19099256C2214yes—
71#19099252C2214yescomplemented
72#19099246C2214yes—
73#19099246C2214yescomplemented
74#19099245C2214yes—
75#19099245C2214yescomplemented
76#19099231C2214yescomplemented
77D4×Dic158C2214yes—
78#19099226C2214yes—
79#19099226C2214yescomplemented
80#19099226C2214yescomplemented
81#19099223C2214yes—
82#19099222C2214yes—
83#19099222C2214yes—
84#19099219C2214yes—
85#19099214C2214yes—
86#19099211C2214yes—
87#19099211C2214yescomplemented
88#19099193C2214yescomplemented
89#19099192C2214yescomplemented
90#19099185C2214yes—
91#19099184C2214yes—
92#19099183C2214yes—
93#19099183C2214yes—
94#19099183C2214yes—
95#19099183C2214yes—
96#19099181C2214yes—
97#19099181C2214yescomplemented
98#19099179C2214yes—
99#19099179C2214yes—
100#19099179C2214yes—
101#19099179C2214yescomplemented
102#19099172C2214yes—
103#19099172C2214yes—
104#19099172C2214yes—
105#19099172C2214yes—
106#19099172C2214yescomplemented
107#19099172C2214yescomplemented
108#19099171C2214yescomplemented
109#19099170C2214yescomplemented
110#19099170C2214yescomplemented
111#19099165C2214yes—
112#19099165C2214yes—
113#19099161C2214yes—
114#19099161C2214yescomplemented
115#19099160C2214yes—
116#19099160C2214yes—
117#19099157C2214yes—
118#19099157C2214yes—
119#19099155C2214yes—
120#19099155C2214yescomplemented
121#19099154C2214yes—
122#19099154C2214yescomplemented
123#19099153C2214yes—
124#19099150C2214yes—
125#19099146C2214yes—
126#19099146C2214yes—
127#19099143C2214yes—
128#19099140C2214yes—
129#19099138C2214yes—
130#19099136C2214yescomplemented
131#19099135C2214yes—
132#19099135C2214yescomplemented
133#19099119C2211yescharacteristic
134#19099119C2211yescharacteristic
135#19099119C2211yescharacteristic
136#19099119C2211yescharacteristic
137#19099119C2212yes—
138#19099119C2214yes—
139#19099119C2214yes—
140#19099119C2212yes—
141#19099119C2212yes—
142#19099119C2214yescomplemented
143#19099119C2214yescomplemented
144#19099118C2214yescomplemented
145#19099117C2212yes—
146#19099115C2214yes—
147#19099115C2212yes—
148#19099115C2214yescomplemented
149#19099115C2214yescomplemented
150#19099115C2214yescomplemented
151#19099112C2212yes—
152#19099110C2212yes—
153#19099108C2214yes—
154#19099108C2212yes—
155C2×#14579160C2212yes—
156#19099099C2214yes—
157#19099099C2214yes—
158#19099098C2212yes—
159#19099098C2214yes—
160#19099098C2214yes—
161#19099098C2214yescomplemented
162#19099097C2212yes—
163#19099096C2214yes—
164#19099096C2214yes—
165#19099096C2214yes—
166#19099096C2214yes—
167#19099096C2214yescomplemented
168#19099096C2214yescomplemented
169#19099094C2214yescomplemented
170#19099092C2212yes—
171#19099091C2214yes—
172#19099090C2214yes—
173#19099090C2214yes—
174#19099090C2214yes—
175#19099090C2214yescomplemented
176#19099090C2214yescomplemented
177C2×#14579153C2211yescharacteristic
178#19099076C2212yes—
179#19099073C2212yes—
180#19099072C2214yes—
181#19099071C2214yes—
182C2×#14579139C2214yes—
183C4×#11929625C2212yes—
184#19099031C2214yes—
185#19099031C2214yescomplemented
186C4×#11929623C2214yes—
187C4×#11929623C2214yes—
188C4×#11929623C2212yes—
189C4×#11929623C2214yes—
190C4×#11929623C2214yescomplemented
191C2×#14579126C2214yes—
192C2×#14579126C2214yescomplemented
193C4×Q8×D79C2214yescomplemented
194C2×#14579119C2212yes—
195C2×C42×D79C2211yescharacteristic
196#564×C79C2211yescharacteristic, complemented
197#563×C79C2212yescomplemented
198#562×C79C2211yescharacteristic, complemented
199#554×C79C2214yes—
200#553×C79C2214yes—
201#552×C79C2214yescomplemented
202#541×C79C2214yescomplemented
203#539×C79C2214yes—
204#539×C79C2214yescomplemented
205#529×C79C2212yes—
206C2×#125×C79C2211yescharacteristic
207C2×#11929625C2312yes—
208C2×#11929624C2314yes—
209C2×#11929624C2314yes—
210C2×#11929623C2314yes—
211C2×#11929623C2312yes—
212C2×#11929623C2314yes—
213C22×Dic158C2314yes—
214C22×Dic158C2314yes—
215C2×Q8×D79C2314yes—
216C22×C4×D79C2311yescharacteristic
217C22×C4×D79C2312yes—
218#14579161C2314yes—
219#14579160C2314yes—
220#14579160C2314yes—
221#14579160C2314yes—
222#14579160C2314yes—
223#14579160C2314yes—
224#14579160C2314yes—
225#14579160C2314yes—
226#14579160C2314yes—
227#14579160C2314yes—
228#14579160C2314yes—
229#14579160C2314yes—
230#14579160C2312yes—
231#14579160C2312yes—
232#14579160C2312yes—
233#14579160C2312yes—
234#14579160C2312yes—
235#14579160C2312yes—
236#14579159C2314yes—
237#14579159C2314yes—
238#14579159C2314yes—
239#14579159C2314yes—
240#14579159C2312yes—
241#14579157C2314yes—
242#14579157C2312yes—
243#14579156C2314yes—
244#14579156C2314yes—
245#14579156C2314yes—
246#14579156C2314yes—
247#14579156C2314yes—
248#14579156C2314yes—
249#14579156C2314yes—
250#14579156C2314yes—
251#14579156C2314yes—
252#14579156C2314yes—
253#14579156C2314yes—
254#14579156C2314yes—
255#14579156C2314yes—
256#14579156C2314yes—
257#14579156C2314yes—
258#14579155C2314yes—
259#14579155C2314yes—
260#14579155C2314yes—
261#14579155C2314yes—
262#14579155C2314yes—
263#14579154C2314yes—
264#14579154C2314yes—
265#14579154C2314yes—
266#14579154C2314yes—
267#14579154C2314yes—
268#14579154C2314yes—
269#14579154C2314yes—
270#14579153C2314yes—
271#14579153C2314yes—
272#14579153C2314yes—
273#14579153C2312yes—
274#14579153C2311yescharacteristic
275#14579153C2311yescharacteristic
276#14579153C2312yes—
277#14579152C2314yes—
278#14579152C2314yes—
279#14579152C2314yes—
280#14579152C2314yes—
281#14579152C2314yes—
282#14579151C2314yes—
283#14579151C2314yes—
284#14579151C2314yes—
285#14579151C2314yes—
286#14579151C2314yes—
287#14579151C2314yes—
288#14579151C2314yes—
289#14579151C2314yes—
290#14579151C2314yes—
291#14579151C2314yes—
292#14579151C2314yes—
293#14579151C2314yes—
294#14579151C2314yes—
295#14579151C2314yes—
296#14579151C2314yes—
297#14579151C2314yes—
298#14579151C2314yes—
299#14579151C2314yes—
300#14579150C2314yes—
301#14579150C2314yes—
302#14579149C2314yes—
303#14579149C2314yes—
304#14579149C2314yes—
305#14579149C2312yes—
306#14579148C2314yes—
307#14579147C2314yes—
308#14579147C2314yes—
309#14579147C2314yes—
310#14579147C2314yes—
311#14579147C2314yes—
312#14579147C2314yes—
313#14579147C2314yes—
314#14579147C2314yes—
315#14579147C2314yes—
316#14579147C2314yes—
317#14579147C2314yes—
318#14579147C2314yes—
319#14579146C2314yes—
320#14579146C2314yes—
321#14579146C2314yes—
322#14579146C2314yes—
323#14579146C2314yes—
324#14579146C2314yes—
325#14579146C2314yes—
326#14579146C2314yes—
327#14579146C2314yes—
328#14579146C2314yes—
329#14579146C2314yes—
330#14579146C2314yes—
331#14579145C2314yes—
332#14579145C2314yes—
333#14579145C2314yes—
334#14579145C2314yes—
335#14579144C2314yes—
336#14579144C2314yes—
337#14579144C2314yes—
338#14579144C2314yes—
339#14579144C2314yes—
340#14579143C2314yes—
341#14579143C2314yes—
342#14579143C2314yes—
343#14579143C2314yes—
344#14579143C2314yes—
345#14579143C2314yes—
346#14579142C2314yes—
347#14579142C2314yes—
348#14579141C2314yes—
349#14579141C2314yes—
350#14579141C2314yes—
351#14579141C2314yes—
352#14579141C2314yes—
353#14579141C2312yes—
354#14579140C2314yes—
355#14579140C2314yes—
356#14579140C2314yes—
357#14579140C2314yes—
358#14579140C2314yes—
359#14579140C2312yes—
360#14579139C2314yes—
361#14579139C2314yes—
362#14579139C2314yes—
363#14579139C2314yes—
364#14579139C2314yes—
365#14579139C2314yes—
366#14579139C2314yes—
367#14579139C2314yes—
368#14579139C2314yes—
369#14579139C2314yes—
370#14579139C2314yes—
371#14579139C2314yes—
372#14579139C2314yes—
373#14579139C2314yes—
374#14579139C2314yes—
375#14579139C2314yes—
376#14579139C2314yes—
377#14579139C2314yes—
378#14579139C2314yes—
379#14579139C2314yes—
380#14579139C2314yes—
381#14579139C2314yes—
382#14579139C2314yes—
383#14579138C2314yes—
384#14579138C2314yes—
385#14579138C2314yes—
386#14579138C2314yes—
387#14579138C2314yes—
388#14579138C2314yes—
389#14579138C2314yes—
390#14579138C2314yes—
391#14579138C2314yes—
392#14579138C2314yes—
393#14579138C2314yes—
394#14579138C2314yes—
395#14579138C2314yes—
396#14579137C2314yes—
397#14579137C2314yes—
398#14579137C2312yes—
399#14579136C2314yes—
400#14579136C2314yes—
401#14579136C2314yes—
402#14579136C2312yes—
403#14579135C2314yes—
404#14579135C2314yes—
405#14579135C2314yes—
406#14579135C2312yes—
407#14579134C2314yes—
408#14579134C2314yes—
409#14579134C2314yes—
410#14579134C2314yes—
411#14579134C2314yes—
412#14579134C2314yes—
413#14579134C2314yes—
414#14579133C2314yes—
415#14579133C2314yes—
416#14579133C2314yes—
417#14579133C2314yes—
418#14579133C2314yes—
419#14579133C2314yes—
420#14579133C2314yes—
421#14579132C2312yes—
422#14579131C2314yes—
423#14579129C2314yes—
424Q8×Dic79C2314yes—
425Q8×Dic79C2312yes—
426C4×Dic158C2312yes—
427C4×Dic158C2314yes—
428C4×Dic158C2314yes—
429C4×Dic158C2314yes—
430C4×Dic158C2314yes—
431C4×Dic158C2314yes—
432C4×Dic158C2314yes—
433C4×Dic158C2314yes—
434#14579126C2314yes—
435#14579126C2314yes—
436#14579126C2314yes—
437#14579126C2314yes—
438#14579126C2314yes—
439#14579126C2314yes—
440#14579126C2314yes—
441#14579126C2314yes—
442#14579126C2314yes—
443#14579126C2314yes—
444#14579126C2314yes—
445#14579126C2314yes—
446#14579126C2314yes—
447#14579126C2314yes—
448#14579126C2314yes—
449#14579126C2314yes—
450#14579126C2314yes—
451#14579126C2314yes—
452#14579126C2314yes—
453#14579126C2314yes—
454#14579126C2314yes—
455#14579126C2312yes—
456C4×D316C2314yes—
457C4×D316C2312yes—
458D4×Dic79C2314yes—
459D4×Dic79C2314yes—
460D4×Dic79C2314yes—
461D4×Dic79C2312yes—
462D4×Dic79C2314yes—
463#14579123C2314yes—
464#14579123C2314yes—
465#14579123C2314yes—
466#14579123C2314yes—
467#14579123C2314yes—
468#14579123C2312yes—
469C4×C22⋊D79C2314yes—
470C4×C22⋊D79C2314yes—
471C4×C22⋊D79C2314yes—
472C4×C22⋊D79C2314yes—
473C4×C22⋊D79C2314yes—
474C4×C22⋊D79C2314yes—
475C4×C22⋊D79C2314yes—
476C4×C22⋊D79C2314yes—
477C4×C22⋊D79C2314yes—
478(C22⋊D79)⋊C4C2314yes—
479(C22⋊D79)⋊C4C2314yes—
480(C22⋊D79)⋊C4C2314yes—
481(C22⋊D79)⋊C4C2314yes—
482(C22⋊D79)⋊C4C2314yes—
483(C22⋊D79)⋊C4C2314yes—
484(C22⋊D79)⋊C4C2314yes—
485(C22⋊D79)⋊C4C2314yes—
486(C22⋊D79)⋊C4C2314yes—
487(C22⋊D79)⋊C4C2314yes—
488(C22⋊D79)⋊C4C2314yes—
489(C22⋊D79)⋊C4C2314yes—
490(C22⋊D79)⋊C4C2314yes—
491(C22⋊D79)⋊C4C2314yes—
492(C22⋊D79)⋊C4C2314yes—
493#14579119C2314yes—
494#14579119C2312yes—
495#14579119C2314yes—
496#14579119C2312yes—
497#14579119C2312yes—
498#14579119C2314yes—
499#14579119C2312yes—
500#14579119C2312yes—
501#14579119C2314yes—
502#14579119C2312yes—
503#14579119C2314yes—
504#14579119C2314yes—
505#14579119C2314yes—
506#14579118C2314yes—
507#14579118C2314yes—
508#14579118C2314yes—
509#14579118C2314yes—
510#14579117C2314yes—
511#14579117C2314yes—
512#14579117C2314yes—
513#14579117C2314yes—
514#14579117C2314yes—
515#14579117C2314yes—
516#14579117C2314yes—
517C2×C4⋊Dic79C2312yes—
518C2×Dic79⋊C4C2314yes—
519C2×Dic79⋊C4C2314yes—
520C2×Dic79⋊C4C2314yes—
521C2×Dic79⋊C4C2314yes—
522C4⋊C4×D79C2314yes—
523C4⋊C4×D79C2314yes—
524C4⋊C4×D79C2314yes—
525C2×(C2×D79)⋊C4C2314yes—
526C2×C4×Dic79C2312yes—
527C2×C4×Dic79C2311yescharacteristic
528C2×C4×Dic79C2314yes—
529C2×C4×Dic79C2314yes—
530C2×C4×Dic79C2314yes—
531C2×C4×Dic79C2314yes—
532C42×D79C2312yes—
533C42×D79C2311yescharacteristic
534C42×D79C2311yescharacteristic
535C42×D79C2311yescharacteristic
536C42×D79C2312yes—
537C42×D79C2311yescharacteristic
538C42×D79C2314yes—
539C42×D79C2314yes—
540C42×D79C2314yes—
541C4⋊Q8×C79C2314yes—
542#126×C79C2314yes—
543#126×C79C2314yes—
544#126×C79C2314yes—
545#126×C79C2314yes—
546#126×C79C2314yes—
547#125×C79C2314yes—
548#125×C79C2314yes—
549#125×C79C2314yes—
550#125×C79C2314yes—
551#125×C79C2314yes—
552#125×C79C2314yes—
553#125×C79C2312yes—
554#125×C79C2311yescharacteristic
555#125×C79C2311yescharacteristic
556#125×C79C2312yes—
557#124×C79C2312yes—
558#123×C79C2314yes—
559#123×C79C2314yes—
560#123×C79C2314yes—
561#123×C79C2314yes—
562#123×C79C2314yes—
563C22⋊Q8×C79C2314yes—
564C22⋊Q8×C79C2314yes—
565C22⋊Q8×C79C2314yes—
566C22⋊Q8×C79C2314yes—
567C22⋊Q8×C79C2314yes—
568C22⋊Q8×C79C2314yes—
569C22⋊Q8×C79C2312yes—
570#121×C79C2314yes—
571#121×C79C2314yes—
572#121×C79C2312yes—
573C4×Q8×C79C2312yes—
574C4×Q8×C79C2314yes—
575C4×D4×C79C2314yes—
576C4×D4×C79C2314yes—
577C4×D4×C79C2314yes—
578C4×D4×C79C2312yes—
579C4×D4×C79C2314yes—
580#117×C79C2314yes—
581#117×C79C2314yes—
582C2×C4⋊C4×C79C2312yes—
583C2×C4⋊C4×C79C2314yes—
584C2×C4⋊C4×C79C2314yes—
585C2×C42×C79C2311yescharacteristic
586C23×D79C2411yescharacteristic
587#11929625—44no—
588#11929624—48no—
589#11929624—48no—
590#11929623—216no—
591#11929623—48no—
592#11929623—44no—
593C2×Dic158—48no—
594C2×Dic158—48no—
595C2×Dic158C2414yes—
596C2×Dic158C2414yes—
597C2×Dic158C2414yes—
598C2×Dic158C2414yes—
599C2×Dic158C2414yes—
600C2×Dic158C2414yes—
601C2×Dic158C2414yes—
602C2×Dic158C2414yes—
603C2×Dic158C2414yes—
604C2×Dic158C2412yes—
605Q8×D79—48no—
606C2×D316C2414yes—
607C2×D316C2414yes—
608C2×D316C2414yes—
609C2×D316C2412yes—
610C2×C22⋊D79C2414yes—
611C2×C22⋊D79C2414yes—
612C2×C22⋊D79C2414yes—
613C2×C22⋊D79C2414yes—
614C2×C22⋊D79C2414yes—
615C2×C22⋊D79C2414yes—
616C2×C22⋊D79C2414yes—
617C22×Dic79C2412yes—
618C22×Dic79C2414yes—
619C22×Dic79C2414yes—
620C22×Dic79C2414yes—
621C22×Dic79C2414yes—
622C22×Dic79C2414yes—
623C22×Dic79C2411yescharacteristic
624C2×C4×D79—24no—
625C2×C4×D79—44no—
626C2×C4×D79C2414yes—
627C2×C4×D79C2412yes—
628C2×C4×D79C2414yes—
629C2×C4×D79C2412yes—
630C2×C4×D79C2411yescharacteristic
631C2×C4×D79C2411yescharacteristic
632C2×C4×D79C2411yescharacteristic
633C2×C4×D79C2411yescharacteristic
634C2×C4×D79C2414yes—
635C2×C4×D79C2414yes—
636C2×C4×D79C2414yes—
637C2×C4×D79C2414yes—
638C2×C4×D79C2414yes—
639C2×C4×D79C2412yes—
640C2×C4×D79C2412yes—
641C4⋊Dic79C2414yes—
642C4⋊Dic79C2414yes—
643C4⋊Dic79C2414yes—
644C4⋊Dic79C2412yes—
645C4⋊Dic79C2414yes—
646C4⋊Dic79C2412yes—
647C4⋊Dic79C2412yes—
648C4⋊Dic79C2414yes—
649C4⋊Dic79C2414yes—
650C4⋊Dic79C2414yes—
651C4⋊Dic79C2414yes—
652C4⋊Dic79C2412yes—
653C4⋊Dic79C2414yes—
654Dic79⋊C4C2414yes—
655Dic79⋊C4C2414yes—
656Dic79⋊C4C2414yes—
657Dic79⋊C4C2414yes—
658Dic79⋊C4C2414yes—
659Dic79⋊C4C2414yes—
660Dic79⋊C4C2414yes—
661Dic79⋊C4C2414yes—
662Dic79⋊C4C2414yes—
663Dic79⋊C4C2414yes—
664Dic79⋊C4C2414yes—
665Dic79⋊C4C2414yes—
666Dic79⋊C4C2414yes—
667Dic79⋊C4C2414yes—
668Dic79⋊C4C2414yes—
669Dic79⋊C4C2414yes—
670Dic79⋊C4C2414yes—
671Dic79⋊C4C2414yes—
672Dic79⋊C4C2414yes—
673Dic79⋊C4C2414yes—
674Dic79⋊C4C2414yes—
675Dic79⋊C4C2414yes—
676Dic79⋊C4C2414yes—
677Dic79⋊C4C2414yes—
678Dic79⋊C4C2414yes—
679Dic79⋊C4C2414yes—
680Dic79⋊C4C2414yes—
681Dic79⋊C4C2414yes—
682Dic79⋊C4C2414yes—
683Dic79⋊C4C2414yes—
684C22⋊Dic79C2414yes—
685C22⋊Dic79C2414yes—
686C22⋊Dic79C2414yes—
687C22⋊Dic79C2414yes—
688C22⋊Dic79C2414yes—
689C22⋊Dic79C2414yes—
690C22⋊Dic79C2414yes—
691(C2×D79)⋊C4C2414yes—
692(C2×D79)⋊C4C2414yes—
693(C2×D79)⋊C4C2414yes—
694(C2×D79)⋊C4C2414yes—
695(C2×D79)⋊C4C2414yes—
696(C2×D79)⋊C4C2414yes—
697(C2×D79)⋊C4C2414yes—
698(C2×D79)⋊C4C2414yes—
699(C2×D79)⋊C4C2414yes—
700(C2×D79)⋊C4C2414yes—
701(C2×D79)⋊C4C2414yes—
702(C2×D79)⋊C4C2414yes—
703(C2×D79)⋊C4C2414yes—
704(C2×D79)⋊C4C2414yes—
705(C2×D79)⋊C4C2414yes—
706(C2×D79)⋊C4C2414yes—
707(C2×D79)⋊C4C2414yes—
708(C2×D79)⋊C4C2414yes—
709(C2×D79)⋊C4C2414yes—
710(C2×D79)⋊C4C2414yes—
711(C2×D79)⋊C4C2414yes—
712(C2×D79)⋊C4C2414yes—
713C4×Dic79C2412yes—
714C4×Dic79C2414yes—
715C4×Dic79C2412yes—
716C4×Dic79C2412yes—
717C4×Dic79C2411yescharacteristic
718C4×Dic79C2412yes—
719C4×Dic79C2412yes—
720C4×Dic79C2411yescharacteristic
721C4×Dic79C2414yes—
722C4×Dic79C2414yes—
723C4×Dic79C2414yes—
724C4×Dic79C2414yes—
725C4×Dic79C2414yes—
726C4×Dic79C2414yes—
727C4×Dic79C2414yes—
728C4×Dic79C2414yes—
729C4×Dic79C2414yes—
730C4×Dic79C2414yes—
731C4×Dic79C2414yes—
732C4×Dic79C2414yes—
733C4×Dic79C2414yes—
734C4×Dic79C2414yes—
735C2×Q8×C79C2414yes—
736C2×Q8×C79C2412yes—
737C2×D4×C79C2414yes—
738C2×D4×C79C2414yes—
739C2×D4×C79C2412yes—
740C22×C4×C79C2411yescharacteristic
741C22×C4×C79C2414yes—
742C22×C4×C79C2414yes—
743C22×C4×C79C2414yes—
744C22×C4×C79C2414yes—
745C22×C4×C79C2412yes—
746C4⋊C4×C79C2414yes—
747C4⋊C4×C79C2414yes—
748C4⋊C4×C79C2414yes—
749C4⋊C4×C79C2414yes—
750C4⋊C4×C79C2414yes—
751C4⋊C4×C79C2412yes—
752C4⋊C4×C79C2414yes—
753C4⋊C4×C79C2414yes—
754C4⋊C4×C79C2414yes—
755C4⋊C4×C79C2412yes—
756C4⋊C4×C79C2414yes—
757C4⋊C4×C79C2414yes—
758C4⋊C4×C79C2412yes—
759C4⋊C4×C79C2414yes—
760C4⋊C4×C79C2414yes—
761C4⋊C4×C79C2414yes—
762C4⋊C4×C79C2412yes—
763C4⋊C4×C79C2414yes—
764C4⋊C4×C79C2414yes—
765C22⋊C4×C79C2414yes—
766C22⋊C4×C79C2414yes—
767C22⋊C4×C79C2414yes—
768C22⋊C4×C79C2414yes—
769C22⋊C4×C79C2414yes—
770C22⋊C4×C79C2414yes—
771C22⋊C4×C79C2414yes—
772C22⋊C4×C79C2414yes—
773C22⋊C4×C79C2414yes—
774C42×C79C2411yescharacteristic
775C42×C79C2412yes—
776C42×C79C2411yescharacteristic
777C42×C79C2414yes—
778C42×C79C2414yes—
779C42×C79C2414yes—
780C23×C79C2514yes—
781C23×C79C2511yescharacteristic
782C22×D79—22no—
783C22×D79—42no—
784C22×D79C2511yescharacteristic
785C22×D79C2511yescharacteristic
786C22×D79C2514yes—
787Q8×C79—44no—
788Q8×C79—42no—
789D4×C79—28no—
790D4×C79—44no—
791D4×C79—42no—
792C2×C4×C79—22no—
793C2×C4×C79—42no—
794C2×C4×C79—44no—
795C2×C4×C79—44no—
796C2×C4×C79—44no—
797C2×C4×C79—44no—
798C2×C4×C79C2512yes—
799C2×C4×C79C2514yes—
800C2×C4×C79C2514yes—
801C2×C4×C79C2514yes—
802C2×C4×C79C2514yes—
803C2×C4×C79C2511yescharacteristic
804C2×C4×C79C2511yescharacteristic
805C2×C4×C79C2514yes—
806C2×C4×C79C2512yes—
807C22⋊D79—28no—
808C22⋊D79—28no—
809C22⋊D79—28no—
810C22⋊D79—44no—
811C22⋊D79—44no—
812C22⋊D79—44no—
813C22⋊D79—44no—
814C2×Dic79—28no—
815C2×Dic79—24no—
816C2×Dic79—28no—
817C2×Dic79—44no—
818C2×Dic79—44no—
819C2×Dic79—44no—
820C2×Dic792−1+414yes—
821C2×Dic79C2514yes—
822C2×Dic79C2514yes—
823C2×Dic79C2512yes—
824C2×Dic79C2514yes—
825C2×Dic79C2514yes—
826C2×Dic79C2514yes—
827C2×Dic79C2511yescharacteristic
828C2×Dic79C2511yescharacteristic
829C2×Dic79C2512yes—
830D316—44no—
831D316—44no—
832D316—42no—
833D316—44no—
834C4×D79—22no—
835C4×D79—22no—
836C4×D79—22no—
837C4×D79—22no—
838C4×D79—28no—
839C4×D79—24no—
840C4×D79—24no—
841C4×D79—28no—
842C4×D79—42no—
843C4×D79—42no—
844C4×D79—44no—
845C4×D79—44no—
846C4×D79—44no—
847C4×D79—44no—
848C4×D79—44no—
849Dic158—28no—
850Dic158—28no—
851Dic158—28no—
852Dic158—28no—
853Dic158—44no—
854Dic158—44no—
855Dic158—44no—
856Dic158—44no—
857Dic158—44no—
858Dic158—42no—
859C22×C79—22no—
860C22×C79—24no—
861C22×C79—24no—
862C22×C79—24no—
863C22×C79C2×2−1+412yes—
864C22×C79C2611yescharacteristic
865C2×D79—24no—
866C2×D79—21no—
867C2×D79—21no—
868C2×D79—24no—
869C2×D79—22no—
870C2×D79—22no—
871C2×D79—24no—
872C2×D79—44no—
873C4×C79—21no—
874C4×C79—21no—
875C4×C79—24no—
876C4×C79—22no—
877C4×C79—24no—
878C4×C79—24no—
879C4×C79—24no—
880C4×C79—22no—
881C4×C79—24no—
882Dic79—24no—
883Dic79—24no—
884Dic79—24no—
885Dic79—24no—
886Dic79—24no—
887Dic79—22no—
888Dic79C2×2−1+412yes—
889Dic79C2×2−1+412yes—
890Dic79#58514yes—
891#62761—791nomaximal, Sylow
892C2×C79—22no—
893C2×C79—44no—
894C2×C79C22×2−1+411yescharacteristic
895C2×C79C2×#58512yes—
896D79—44no—
897D79—41no—
898D79—41no—
899#3557—794no—
900#3556—791no—
901#3555—794no—
902#3554—794no—
903#3553—792no—
904#3553—791no—
905#3553D7911yescharacteristic, complemented
906#3552—794no—
907#3550—792no—
908#3548—791no—
909#3541—794no—
910#3541—794no—
911#3531—791no—
912#3531—792no—
913#3531—791no—
914#3482—794no—
915#3480—794no—
916Q8×#41—794no—
917#3461—794no—
918#3461—794no—
919#3455—794no—
920#3444—792no—
921C2×#533—791no—
922C79#6276111yescharacteristic, complemented, Sylow
923#564—791no—
924#564—792no—
925#564C2×D7911yescharacteristic, complemented
926#563—794no—
927#563—794no—
928#563—794no—
929#563—794no—
930#563—792no—
931#563—792no—
932#563—794no—
933#563—792no—
934#563—794no—
935#563—794no—
936#563—794no—
937#563C2×D7912yescomplemented
938#562—794no—
939#562—791no—
940#562—792no—
941#562—794no—
942#562—794no—
943#562—794no—
944#562C2×D7911yescharacteristic, complemented
945#559—794no—
946#559—794no—
947#559—794no—
948Q82—794no—
949#557—794no—
950#557—794no—
951#557—794no—
952#557—794no—
953#557—794no—
954#556—794no—
955#556—794no—
956#556—794no—
957#556—794no—
958#556—794no—
959#556—794no—
960#554—794no—
961#554—794no—
962#554—794no—
963#554—794no—
964#554—794no—
965#554—794no—
966#554—794no—
967#554—794no—
968#554C2×D7914yes—
969#553—794no—
970#553—794no—
971#553—794no—
972#553—794no—
973#553—794no—
974#553C2×D7914yes—
975#552—794no—
976#552—794no—
977#552—794no—
978#552—794no—
979#552—794no—
980#552C2×D7914yescomplemented
981#550—794no—
982D4×Q8—794no—
983D4×Q8—794no—
984D4×Q8—794no—
985D4×Q8—794no—
986#548—794no—
987#548—794no—
988#548—794no—
989#548—794no—
990#547—794no—
991#547—794no—
992#547—794no—
993#544—794no—
994#544—794no—
995#542—794no—
996#542—794no—
997#542—794no—
998#542—794no—
999#542—794no—
1000#542—794no—
1001#542—794no—
1002#542—794no—
1003#542—794no—
1004#542—794no—
1005#542—794no—
1006#542—794no—
1007#541—794no—
1008#541—794no—
1009#541—794no—
1010#541—794no—
1011#541—794no—
1012#541—794no—
1013#541—794no—
1014#541—794no—
1015#541—794no—
1016#541C2×D7914yescomplemented
1017#540—794no—
1018#540—794no—
1019#539—794no—
1020#539—794no—
1021#539—794no—
1022#539—794no—
1023#539—794no—
1024#539—794no—
1025#539—794no—
1026#539—794no—
1027#539—794no—
1028#539—794no—
1029#539C2×D7914yes—
1030#539C2×D7914yescomplemented
1031#538—794no—
1032#538—794no—
1033#538—794no—
1034#538—794no—
1035#537—794no—
1036#537—794no—
1037#536—794no—
1038#536—794no—
1039#536—794no—
1040#536—794no—
1041#533—794no—
1042#533—794no—
1043#533—792no—
1044#533—791no—
1045#533—791no—
1046#533—791no—
1047#533—791no—
1048#533—794no—
1049#533—792no—
1050#533—792no—
1051#533—794no—
1052#533—794no—
1053#533—792no—
1054#533—794no—
1055#533—794no—
1056#533—794no—
1057#533—794no—
1058#533—792no—
1059#532—792no—
1060#532—792no—
1061#532—794no—
1062#532—792no—
1063C2×C4⋊Q8—792no—
1064#529—794no—
1065#529—794no—
1066#529—794no—
1067#529—794no—
1068#529—794no—
1069#529—794no—
1070#529—792no—
1071#529—794no—
1072#529—794no—
1073#529—794no—
1074#529—792no—
1075#529—794no—
1076#529—794no—
1077#529—794no—
1078#529—794no—
1079#529—794no—
1080#529—794no—
1081#529—794no—
1082#529—794no—
1083#529—794no—
1084#529—792no—
1085#529C2×D7912yes—
1086C2×#125—791no—
1087C2×#125C2×D7911yescharacteristic
1088#525—794no—
1089#525—792no—
1090#525—792no—
1091#525—794no—
1092C2×C22⋊Q8—794no—
1093C4×#41—792no—
1094C4×#41—792no—
1095C4×#41—794no—
1096C4×#41—794no—
1097C4×#41—794no—
1098C4×#41—794no—
1099C4×#41—794no—
1100C4×#41—794no—
1101C2×C4×Q8—794no—
1102C2×C4×Q8—794no—
1103C2×C4×Q8—794no—
1104C2×#117—792no—
1105C22×C42—791no—
1106C2×#41—792no—
1107C2×#41—792no—
1108C2×#41—794no—
1109C2×#41—794no—
1110C2×#41—794no—
1111C2×#41—794no—
1112C22×Q8—794no—
1113C22×Q8—794no—
1114C22×Q8—794no—
1115C23×C4—792no—
1116C23×C4—791no—
1117C4⋊Q8—792no—
1118C4⋊Q8—794no—
1119C4⋊Q8—794no—
1120C4⋊Q8—794no—
1121C4⋊Q8—794no—
1122C4⋊Q8—794no—
1123C4⋊Q8—794no—
1124C4⋊Q8—792no—
1125C4⋊Q8—792no—
1126C4⋊Q8—792no—
1127C4⋊Q8—792no—
1128C4⋊Q8—792no—
1129C4⋊Q8—792no—
1130C4⋊Q8—794no—
1131C4⋊Q8—794no—
1132C4⋊Q8—794no—
1133C4⋊Q8—794no—
1134C4⋊Q8—794no—
1135C4⋊Q8—794no—
1136C4⋊Q8—794no—
1137C4⋊Q8—794no—
1138C4⋊Q8—794no—
1139C4⋊Q8—794no—
1140C4⋊Q8C22×D7914yes—
1141#127—792no—
1142#127—794no—
1143#126—794no—
1144#126—794no—
1145#126—794no—
1146#126—794no—
1147#126—794no—
1148#126—794no—
1149#126—794no—
1150#126—794no—
1151#126—794no—
1152#126—794no—
1153#126—794no—
1154#126—794no—
1155#126—794no—
1156#126—794no—
1157#126—794no—
1158#126—794no—
1159#126—794no—
1160#126—794no—
1161#126—794no—
1162#126—794no—
1163#126—794no—
1164#126—794no—
1165#126—794no—
1166#126—794no—
1167#126—794no—
1168#126—794no—
1169#126—794no—
1170#126C22×D7914yes—
1171#126C22×D7914yes—
1172#126C22×D7914yes—
1173#126C22×D7914yes—
1174#126C22×D7914yes—
1175#125—794no—
1176#125—794no—
1177#125—794no—
1178#125—794no—
1179#125—794no—
1180#125—794no—
1181#125—794no—
1182#125—794no—
1183#125—794no—
1184#125—794no—
1185#125—794no—
1186#125—794no—
1187#125—794no—
1188#125—794no—
1189#125—794no—
1190#125—794no—
1191#125—794no—
1192#125—794no—
1193#125—794no—
1194#125—794no—
1195#125—794no—
1196#125—794no—
1197#125—794no—
1198#125—794no—
1199#125—792no—
1200#125—791no—
1201#125—791no—
1202#125—792no—
1203#125—794no—
1204#125—794no—
1205#125C22×D7914yes—
1206#125C22×D7912yes—
1207#125C22×D7911yescharacteristic
1208#125C22×D7911yescharacteristic
1209#125C22×D7912yes—
1210#125C22×D7914yes—
1211#125C22×D7914yes—
1212#125C22×D7914yes—
1213#125C22×D7914yes—
1214#125C22×D7914yes—
1215#124—794no—
1216#124—794no—
1217#124—794no—
1218#124—794no—
1219#124—794no—
1220#124—794no—
1221#124—794no—
1222#124—794no—
1223#124—794no—
1224#124—794no—
1225#124—794no—
1226#124—794no—
1227#124—794no—
1228#124—794no—
1229#124—794no—
1230#124—792no—
1231#124—794no—
1232#124—794no—
1233#124—794no—
1234#124C22×D7912yes—
1235#123—794no—
1236#123—794no—
1237#123—794no—
1238#123—794no—
1239#123—794no—
1240#123—794no—
1241#123—794no—
1242#123—794no—
1243#123—794no—
1244#123—794no—
1245#123—794no—
1246#123—794no—
1247#123—794no—
1248#123—794no—
1249#123—794no—
1250#123—794no—
1251#123—794no—
1252#123—794no—
1253#123—794no—
1254#123—794no—
1255#123—794no—
1256#123—794no—
1257#123—794no—
1258#123—794no—
1259#123—794no—
1260#123—794no—
1261#123—794no—
1262#123—794no—
1263#123—794no—
1264#123C22×D7914yes—
1265#123C22×D7914yes—
1266#123C22×D7914yes—
1267#123C22×D7914yes—
1268#123C22×D7914yes—
1269C22⋊Q8—792no—
1270C22⋊Q8—794no—
1271C22⋊Q8—794no—
1272C22⋊Q8—792no—
1273C22⋊Q8—794no—
1274C22⋊Q8—794no—
1275C22⋊Q8—794no—
1276C22⋊Q8—794no—
1277C22⋊Q8—794no—
1278C22⋊Q8—794no—
1279C22⋊Q8—794no—
1280C22⋊Q8—794no—
1281C22⋊Q8—794no—
1282C22⋊Q8—794no—
1283C22⋊Q8—794no—
1284C22⋊Q8—794no—
1285C22⋊Q8—794no—
1286C22⋊Q8—794no—
1287C22⋊Q8—794no—
1288C22⋊Q8—794no—
1289C22⋊Q8—792no—
1290C22⋊Q8—794no—
1291C22⋊Q8—794no—
1292C22⋊Q8—794no—
1293C22⋊Q8—794no—
1294C22⋊Q8—794no—
1295C22⋊Q8—794no—
1296C22⋊Q8—794no—
1297C22⋊Q8—794no—
1298C22⋊Q8—794no—
1299C22⋊Q8—794no—
1300C22⋊Q8—794no—
1301C22⋊Q8—794no—
1302C22⋊Q8—794no—
1303C22⋊Q8—794no—
1304C22⋊Q8—794no—
1305C22⋊Q8—794no—
1306C22⋊Q8—794no—
1307C22⋊Q8—794no—
1308C22⋊Q8—794no—
1309C22⋊Q8—794no—
1310C22⋊Q8—794no—
1311C22⋊Q8—794no—
1312C22⋊Q8—794no—
1313C22⋊Q8—794no—
1314C22⋊Q8—794no—
1315C22⋊Q8—794no—
1316C22⋊Q8—794no—
1317C22⋊Q8—794no—
1318C22⋊Q8—794no—
1319C22⋊Q8—794no—
1320C22⋊Q8C22×D7912yes—
1321C22⋊Q8C22×D7914yes—
1322C22⋊Q8C22×D7914yes—
1323C22⋊Q8C22×D7914yes—
1324C22⋊Q8C22×D7914yes—
1325C22⋊Q8C22×D7914yes—
1326C22⋊Q8C22×D7914yes—
1327#121—794no—
1328#121—792no—
1329#121—794no—
1330#121—794no—
1331#121—794no—
1332#121—794no—
1333#121—794no—
1334#121—794no—
1335#121—792no—
1336#121—794no—
1337#121—794no—
1338#121—794no—
1339#121—792no—
1340#121—794no—
1341#121—794no—
1342#121—794no—
1343#121—794no—
1344#121—794no—
1345#121—794no—
1346#121—794no—
1347#121—794no—
1348#121—794no—
1349#121—794no—
1350#121C22×D7912yes—
1351#121C22×D7914yes—
1352#121C22×D7914yes—
1353#120—794no—
1354#120—794no—
1355C4×Q8—794no—
1356C4×Q8—792no—
1357C4×Q8—794no—
1358C4×Q8—794no—
1359C4×Q8—794no—
1360C4×Q8—794no—
1361C4×Q8—794no—
1362C4×Q8—794no—
1363C4×Q8—794no—
1364C4×Q8—794no—
1365C4×Q8—794no—
1366C4×Q8—794no—
1367C4×Q8—794no—
1368C4×Q8—794no—
1369C4×Q8—794no—
1370C4×Q8—794no—
1371C4×Q8—794no—
1372C4×Q8—794no—
1373C4×Q8—792no—
1374C4×Q8—794no—
1375C4×Q8—794no—
1376C4×Q8—794no—
1377C4×Q8—794no—
1378C4×Q8—794no—
1379C4×Q8—794no—
1380C4×Q8—794no—
1381C4×Q8—794no—
1382C4×Q8—792no—
1383C4×Q8—794no—
1384C4×Q8—794no—
1385C4×Q8—794no—
1386C4×Q8—794no—
1387C4×Q8C22×D7914yes—
1388C4×Q8C22×D7912yes—
1389C4×D4—794no—
1390C4×D4—792no—
1391C4×D4—794no—
1392C4×D4—794no—
1393C4×D4—794no—
1394C4×D4—794no—
1395C4×D4—794no—
1396C4×D4—794no—
1397C4×D4—794no—
1398C4×D4—794no—
1399C4×D4—794no—
1400C4×D4—794no—
1401C4×D4—794no—
1402C4×D4—794no—
1403C4×D4—794no—
1404C4×D4—794no—
1405C4×D4—794no—
1406C4×D4—792no—
1407C4×D4—794no—
1408C4×D4—794no—
1409C4×D4—794no—
1410C4×D4—794no—
1411C4×D4—794no—
1412C4×D4—794no—
1413C4×D4—794no—
1414C4×D4—794no—
1415C4×D4—794no—
1416C4×D4—794no—
1417C4×D4—794no—
1418C4×D4—794no—
1419C4×D4—794no—
1420C4×D4—794no—
1421C4×D4—794no—
1422C4×D4—794no—
1423C4×D4—794no—
1424C4×D4—794no—
1425C4×D4—792no—
1426C4×D4C22×D7914yes—
1427C4×D4C22×D7912yes—
1428C4×D4C22×D7914yes—
1429C4×D4C22×D7914yes—
1430C4×D4C22×D7914yes—
1431#117—794no—
1432#117—792no—
1433#117—792no—
1434#117—792no—
1435#117—794no—
1436#117—792no—
1437#117—792no—
1438#117—792no—
1439#117—794no—
1440#117—794no—
1441#117—794no—
1442#117—794no—
1443#117—794no—
1444#117—794no—
1445#117—794no—
1446#117—794no—
1447#117—794no—
1448#117—794no—
1449#117—794no—
1450#117—794no—
1451#117—794no—
1452#117—794no—
1453#117—794no—
1454#117—794no—
1455#117C22×D7914yes—
1456#117C22×D7914yes—
1457C2×C4⋊C4—792no—
1458C2×C4⋊C4—794no—
1459C2×C4⋊C4—794no—
1460C2×C4⋊C4—794no—
1461C2×C4⋊C4—794no—
1462C2×C4⋊C4—794no—
1463C2×C4⋊C4—794no—
1464C2×C4⋊C4—794no—
1465C2×C4⋊C4C22×D7912yes—
1466C2×C4⋊C4C22×D7914yes—
1467C2×C4⋊C4C22×D7914yes—
1468C2×C22⋊C4—794no—
1469C2×C42—794no—
1470C2×C42—792no—
1471C2×C42—794no—
1472C2×C42—794no—
1473C2×C42—794no—
1474C2×C42—791no—
1475C2×C42—794no—
1476C2×C42—794no—
1477C2×C42—794no—
1478C2×C42—791no—
1479C2×C42—792no—
1480C2×C42—791no—
1481C2×C42—791no—
1482C2×C42—792no—
1483C2×C42—791no—
1484C2×C42C22×D7911yescharacteristic
1485C24—791no—
1486#41—3168no—
1487#41—3168no—
1488#41—3168no—
1489#41—3164no—
1490#41—3164no—
1491#41—15816no—
1492C2×Q8—3168no—
1493C2×Q8—3168no—
1494C2×Q8—3168no—
1495C2×Q8—794no—
1496C2×Q8—794no—
1497C2×Q8—794no—
1498C2×Q8—794no—
1499C2×Q8—794no—
1500C2×Q8—792no—
1501C2×Q8—794no—
1502C2×Q8—794no—
1503C2×Q8—794no—
1504C2×Q8—794no—
1505C2×Q8C23×D7912yes—
1506C2×Q8C23×D7914yes—
1507C2×D4—794no—
1508C2×D4—794no—
1509C2×D4—794no—
1510C2×D4—794no—
1511C2×D4—794no—
1512C2×D4—794no—
1513C2×D4—794no—
1514C2×D4—794no—
1515C2×D4—794no—
1516C2×D4—794no—
1517C2×D4—792no—
1518C2×D4C23×D7914yes—
1519C2×D4C23×D7912yes—
1520C2×D4C23×D7914yes—
1521C22×C4—3164no—
1522C22×C4—794no—
1523C22×C4—794no—
1524C22×C4—794no—
1525C22×C4—792no—
1526C22×C4—792no—
1527C22×C4—794no—
1528C22×C4—794no—
1529C22×C4—794no—
1530C22×C4—794no—
1531C22×C4—794no—
1532C22×C4—791no—
1533C22×C4—794no—
1534C22×C4—792no—
1535C22×C4—794no—
1536C22×C4—794no—
1537C22×C4—791no—
1538C22×C4—791no—
1539C22×C4—791no—
1540C22×C4—791no—
1541C22×C4—792no—
1542C22×C4—792no—
1543C22×C4—794no—
1544C22×C4—1584no—
1545C22×C4C23×D7911yescharacteristic
1546C22×C4C23×D7912yes—
1547C22×C4C23×D7914yes—
1548C22×C4C23×D7914yes—
1549C22×C4C23×D7914yes—
1550C22×C4C23×D7914yes—
1551C4⋊C4—794no—
1552C4⋊C4—794no—
1553C4⋊C4—794no—
1554C4⋊C4—794no—
1555C4⋊C4—794no—
1556C4⋊C4—794no—
1557C4⋊C4—794no—
1558C4⋊C4—794no—
1559C4⋊C4—794no—
1560C4⋊C4—794no—
1561C4⋊C4—794no—
1562C4⋊C4—794no—
1563C4⋊C4—794no—
1564C4⋊C4—794no—
1565C4⋊C4—794no—
1566C4⋊C4—794no—
1567C4⋊C4—794no—
1568C4⋊C4—794no—
1569C4⋊C4—794no—
1570C4⋊C4—794no—
1571C4⋊C4—794no—
1572C4⋊C4—794no—
1573C4⋊C4—794no—
1574C4⋊C4—794no—
1575C4⋊C4—794no—
1576C4⋊C4—794no—
1577C4⋊C4—794no—
1578C4⋊C4—794no—
1579C4⋊C4—794no—
1580C4⋊C4—794no—
1581C4⋊C4—792no—
1582C4⋊C4—794no—
1583C4⋊C4—792no—
1584C4⋊C4—794no—
1585C4⋊C4—794no—
1586C4⋊C4—794no—
1587C4⋊C4—792no—
1588C4⋊C4—794no—
1589C4⋊C4—792no—
1590C4⋊C4—794no—
1591C4⋊C4—794no—
1592C4⋊C4—794no—
1593C4⋊C4—794no—
1594C4⋊C4C23×D7914yes—
1595C4⋊C4C23×D7914yes—
1596C4⋊C4C23×D7914yes—
1597C4⋊C4C23×D7912yes—
1598C4⋊C4C23×D7914yes—
1599C4⋊C4C23×D7912yes—
1600C4⋊C4C23×D7914yes—
1601C4⋊C4C23×D7914yes—
1602C4⋊C4C23×D7914yes—
1603C4⋊C4C23×D7914yes—
1604C4⋊C4C23×D7914yes—
1605C4⋊C4C23×D7912yes—
1606C4⋊C4C23×D7914yes—
1607C4⋊C4C23×D7912yes—
1608C4⋊C4C23×D7914yes—
1609C4⋊C4C23×D7914yes—
1610C4⋊C4C23×D7914yes—
1611C4⋊C4C23×D7914yes—
1612C4⋊C4C23×D7914yes—
1613C22⋊C4—794no—
1614C22⋊C4—794no—
1615C22⋊C4—794no—
1616C22⋊C4—794no—
1617C22⋊C4—794no—
1618C22⋊C4—794no—
1619C22⋊C4—794no—
1620C22⋊C4—794no—
1621C22⋊C4—794no—
1622C22⋊C4—794no—
1623C22⋊C4—794no—
1624C22⋊C4—794no—
1625C22⋊C4—794no—
1626C22⋊C4—794no—
1627C22⋊C4—794no—
1628C22⋊C4—794no—
1629C22⋊C4—794no—
1630C22⋊C4—794no—
1631C22⋊C4—794no—
1632C22⋊C4—794no—
1633C22⋊C4—794no—
1634C22⋊C4—794no—
1635C22⋊C4—794no—
1636C22⋊C4—794no—
1637C22⋊C4—794no—
1638C22⋊C4—794no—
1639C22⋊C4—794no—
1640C22⋊C4—794no—
1641C22⋊C4—794no—
1642C22⋊C4C23×D7914yes—
1643C22⋊C4C23×D7914yes—
1644C22⋊C4C23×D7914yes—
1645C22⋊C4C23×D7914yes—
1646C22⋊C4C23×D7914yes—
1647C22⋊C4C23×D7914yes—
1648C22⋊C4C23×D7914yes—
1649C22⋊C4C23×D7914yes—
1650C22⋊C4C23×D7914yes—
1651C42—792no—
1652C42—794no—
1653C42—792no—
1654C42—794no—
1655C42—794no—
1656C42—794no—
1657C42—792no—
1658C42—791no—
1659C42—792no—
1660C42—792no—
1661C42—791no—
1662C42—794no—
1663C42—794no—
1664C42—794no—
1665C42—794no—
1666C42—794no—
1667C42—794no—
1668C42—794no—
1669C42—794no—
1670C42—794no—
1671C42—794no—
1672C42—794no—
1673C42C23×D7911yescharacteristic
1674C42C23×D7912yes—
1675C42C23×D7911yescharacteristic
1676C42C23×D7914yes—
1677C42C23×D7914yes—
1678C42C23×D7914yes—
1679C23—3162no—
1680C23—791no—
1681C23—791no—
1682C23—794no—
1683C23—1582no—
1684C23C24×D7914yes—
1685C23C24×D7911yescharacteristic
1686Q8—44no—
1687Q8—42no—
1688Q8—3164no—
1689Q8—3164no—
1690Q8—3164no—
1691Q8—3164no—
1692Q8—3164no—
1693Q8—3162no—
1694Q8—1588no—
1695Q8—1588no—
1696Q8—1588no—
1697Q8—1588no—
1698D4—28no—
1699D4—44no—
1700D4—42no—
1701D4—3164no—
1702D4—3164no—
1703D4—3162no—
1704D4—3164no—
1705D4—3164no—
1706D4—3164no—
1707D4—3164no—
1708D4—3164no—
1709D4—1588no—
1710D4—1588no—
1711D4—1588no—
1712C2×C4—22no—
1713C2×C4—42no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—44no—
1718C2×C4—3162no—
1719C2×C4—3162no—
1720C2×C4—3164no—
1721C2×C4—3164no—
1722C2×C4—3164no—
1723C2×C4—3164no—
1724C2×C4—3164no—
1725C2×C4—3164no—
1726C2×C4—3164no—
1727C2×C4—3164no—
1728C2×C4—794no—
1729C2×C4—791no—
1730C2×C4—791no—
1731C2×C4—792no—
1732C2×C4—794no—
1733C2×C4—794no—
1734C2×C4—792no—
1735C2×C4—794no—
1736C2×C4—794no—
1737C2×C4—794no—
1738C2×C4—1584no—
1739C2×C4—1584no—
1740C2×C4—1582no—
1741C2×C4—1582no—
1742C2×C4—1582no—
1743C2×C4—1582no—
1744C2×C4—1588no—
1745C2×C4—1588no—
1746C2×C4—1584no—
1747C2×C4—1588no—
1748C2×C4—1588no—
1749C2×C4C24×D7912yes—
1750C2×C4C24×D7914yes—
1751C2×C4C24×D7914yes—
1752C2×C4C24×D7914yes—
1753C2×C4C24×D7914yes—
1754C2×C4C24×D7911yescharacteristic
1755C2×C4C24×D7911yescharacteristic
1756C2×C4C24×D7914yes—
1757C2×C4C24×D7912yes—
1758C22—22no—
1759C22—24no—
1760C22—24no—
1761C22—24no—
1762C22—3164no—
1763C22—1581no—
1764C22—1581no—
1765C22—1584no—
1766C22—1584no—
1767C22—1584no—
1768C22—1582no—
1769C22—1582no—
1770C222−1+4×D7912yes—
1771C22C25×D7911yescharacteristic
1772C4—21no—
1773C4—21no—
1774C4—24no—
1775C4—22no—
1776C4—24no—
1777C4—24no—
1778C4—24no—
1779C4—22no—
1780C4—24no—
1781C4—792no—
1782C4—792no—
1783C4—794no—
1784C4—1584no—
1785C4—1584no—
1786C4—1584no—
1787C4—1584no—
1788C4—1584no—
1789C4—1582no—
1790C2—22no—
1791C2—44no—
1792C2—3161no—
1793C2—3161no—
1794C2—3164no—
1795C2C2×2−1+4×D7911yescharacteristic
1796C2#585×D7912yes—
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3553C2
hypercenter#3553D79
hypocenterC79#62761
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3553

Complements

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

NH ≅ G/Ntype
1. #23777896C2semidirect
2. #23777894C2semidirect
3. #23777881C2semidirect
4. #23777864C2semidirect
5. #23777856C2semidirect
6. #23777853C2semidirect
7. #23777833C2semidirect
8. #23777810C2semidirect
9. #23777796C2semidirect
10. #23777686C2semidirect
11. #23777678C2semidirect
12. #23777548C2semidirect
13. #23777546C2semidirect
14. #23777544C2semidirect
15. #23777014C2semidirect
16. #23776994C2semidirect
17. #23776979C2semidirect
18. #23776832C2semidirect
19. #23776830C2semidirect
20. #23776786C2semidirect
21. #23776694C2semidirect
22. C2×#19099119C2semidirect
23. C79×#3553C2semidirect
24. C79⋊#564C22semidirect
25. C79⋊#564C22semidirect
27. #19099317C22semidirect
28. #19099317C22semidirect
29. #19099317C22semidirect
30. #19099316C22semidirect
32. #19099315C22semidirect
34. #19099314C22semidirect
35. #19099313C22semidirect
38. #19099311C22semidirect
42. #19099307C22semidirect
43. #19099297C22semidirect
44. #19099297C22semidirect
45. #19099296C22semidirect
46. #19099293C22semidirect
47. #19099291C22semidirect
48. #19099290C22semidirect
49. #19099290C22semidirect
50. #19099290C22semidirect
51. #19099290C22semidirect
53. #19099281C22semidirect
55. #19099280C22semidirect
56. #19099280C22semidirect
57. #19099280C22semidirect
61. #19099268C22semidirect
64. #19099267C22semidirect
65. #19099267C22semidirect
71. #19099252C22semidirect
73. #19099246C22semidirect
75. #19099245C22semidirect
76. #19099231C22semidirect
79. #19099226C22semidirect
80. #19099226C22semidirect
87. #19099211C22semidirect
88. #19099193C22semidirect
89. #19099192C22semidirect
97. #19099181C22semidirect
101. #19099179C22semidirect
106. #19099172C22semidirect
107. #19099172C22semidirect
108. #19099171C22semidirect
109. #19099170C22semidirect
110. #19099170C22semidirect
114. #19099161C22semidirect
120. #19099155C22semidirect
122. #19099154C22semidirect
130. #19099136C22semidirect
132. #19099135C22semidirect
142. #19099119C22semidirect
143. #19099119C22semidirect
144. #19099118C22semidirect
148. #19099115C22semidirect
149. #19099115C22semidirect
150. #19099115C22semidirect
161. #19099098C22semidirect
167. #19099096C22semidirect
168. #19099096C22semidirect
169. #19099094C22semidirect
175. #19099090C22semidirect
176. #19099090C22semidirect
185. #19099031C22semidirect
190. C4×#11929623C22semidirect
192. C2×#14579126C22semidirect
193. C4×Q8×D79C22semidirect
196. #564×C79C22semidirect
197. #563×C79C22semidirect
198. #562×C79C22semidirect
201. #552×C79C22semidirect
202. #541×C79C22semidirect
204. #539×C79C22semidirect
905. #3553D79semidirect
922. C79#62761semidirect
925. #564C2×D79semidirect
937. #563C2×D79semidirect
944. #562C2×D79semidirect
980. #552C2×D79semidirect
1016. #541C2×D79semidirect
1030. #539C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237778962
#237778942
#237778812
#237778642
#237778562
#237778532
#237778332
#237778102
#237777962
#237776862
#237776782
#237775482
#237775462
#237775442
#237770142
#237769942
#237769792
#237768322
#237768302
#237767862
#237766942
C2×#190991192
C79×#35532
#6276179