Finite Group Databasebeta

← #35196112

Subgroups — #35196112

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#23777900C214yesmaximal, complemented
2#23777894C211yesmaximal, characteristic, complemented
3#23777879C214yesmaximal, complemented
4#23777862C214yesmaximal, complemented
5#23777857C211yesmaximal, characteristic, complemented
6#23777855C211yesmaximal, characteristic, complemented
7#23777851C212yesmaximal, complemented
8#23777834C214yesmaximal, complemented
9#23777810C212yesmaximal, complemented
10#23777796C211yesmaximal, characteristic, complemented
11#23777690C214yesmaximal, complemented
12#23777682C214yesmaximal, complemented
13#23777547C211yesmaximal, characteristic, complemented
14#23777545C212yesmaximal, complemented
15#23777013C214yesmaximal, complemented
16#23776991C214yesmaximal, complemented
17#23776978C214yesmaximal, complemented
18#23776831C214yesmaximal, complemented
19#23776829C214yesmaximal, complemented
20#23776783C214yesmaximal, complemented
21#23776694C212yesmaximal, complemented
22#533×D79C211yesmaximal, characteristic, complemented
23C79×#3531C211yesmaximal, characteristic, complemented
24C79⋊#564C2212yescomplemented
25C79⋊#564C2211yescharacteristic, complemented
26#19099317C2212yescomplemented
27#19099317C2212yescomplemented
28#19099316C2214yes—
29#19099315C2214yescomplemented
30#19099315C2214yescomplemented
31#19099314C2214yes—
32#19099314C2214yes—
33#19099313C2212yescomplemented
34#19099312C2214yescomplemented
35#19099311C2211yescharacteristic, complemented
36#19099310C2214yes—
37#19099309C2214yes—
38#19099308C2214yes—
39#19099307C2212yescomplemented
40#19099297C2214yescomplemented
41#19099297C2214yescomplemented
42#19099295C2214yescomplemented
43#19099293C2214yescomplemented
44#19099290C2214yescomplemented
45#19099290C2214yescomplemented
46#19099290C2214yescomplemented
47#19099290C2214yescomplemented
48#19099288C2214yescomplemented
49#19099284C2214yescomplemented
50#19099282C2214yes—
51#19099280C2214yes—
52#19099280C2214yescomplemented
53#19099280C2214yescomplemented
54#19099280C2214yescomplemented
55#19099274C2214yes—
56#19099271C2214yes—
57#19099271C2214yescomplemented
58#19099269C2214yes—
59#19099269C2214yes—
60#19099267C2214yes—
61#19099267C2214yes—
62#19099267C2214yescomplemented
63#19099267C2214yescomplemented
64#19099266C2214yes—
65#19099264C2214yes—
66#19099264C2214yes—
67#19099260C2214yes—
68#19099258C2214yes—
69#19099258C2214yes—
70#19099255C2214yescomplemented
71#19099251C2214yescomplemented
72#19099250C2214yes—
73#19099250C2214yescomplemented
74#19099249C2214yes—
75#19099249C2214yescomplemented
76#19099231C2214yescomplemented
77#19099228C2214yes—
78#19099226C2214yes—
79#19099226C2214yescomplemented
80#19099226C2214yescomplemented
81#19099223C2214yes—
82#19099221C2214yes—
83#19099221C2214yes—
84#19099219C2214yes—
85#19099213C2214yes—
86#19099211C2214yes—
87#19099211C2214yescomplemented
88#19099192C2214yescomplemented
89#19099190C2214yescomplemented
90#19099187C2214yes—
91#19099186C2214yes—
92#19099183C2214yes—
93#19099183C2214yes—
94#19099183C2214yescomplemented
95#19099181C2214yes—
96#19099179C2214yes—
97#19099179C2214yes—
98#19099179C2214yes—
99#19099177C2214yes—
100#19099177C2214yes—
101#19099177C2214yescomplemented
102#19099174C2214yescomplemented
103#19099173C2214yescomplemented
104#19099172C2214yes—
105#19099172C2214yes—
106#19099172C2214yes—
107#19099172C2214yescomplemented
108#19099172C2214yescomplemented
109#19099170C2214yes—
110#19099170C2214yescomplemented
111#19099170C2214yescomplemented
112#19099165C2214yes—
113#19099163C2214yes—
114#19099162C2214yes—
115#19099161C2214yes—
116#19099161C2214yes—
117#19099161C2214yescomplemented
118#19099159C2214yes—
119#19099159C2214yes—
120#19099159C2214yescomplemented
121#19099158C2214yescomplemented
122#19099157C2214yes—
123#19099157C2214yescomplemented
124#19099156C2214yes—
125#19099154C2214yes—
126#19099152C2214yes—
127#19099149C2214yes—
128#19099147C2214yes—
129#19099145C2214yes—
130#19099143C2214yes—
131#19099140C2214yes—
132#19099138C2214yes—
133#19099136C2214yescomplemented
134#19099135C2214yes—
135#19099135C2214yescomplemented
136#19099120C2211yescharacteristic
137#19099119C2211yescharacteristic
138#19099119C2211yescharacteristic
139#19099119C2212yes—
140#19099118C2212yes—
141#19099117C2214yes—
142#19099117C2214yes—
143#19099117C2212yes—
144#19099117C2214yescomplemented
145#19099117C2214yescomplemented
146#19099117C2214yescomplemented
147#19099116C2212yes—
148#19099116C2214yescomplemented
149#19099116C2214yescomplemented
150#19099115C2214yes—
151#19099115C2212yes—
152#19099112C2212yes—
153#19099110C2214yes—
154#19099110C2212yes—
155#19099108C2212yes—
156C4⋊Q8×D79C2212yes—
157#19099100C2214yes—
158#19099100C2214yescomplemented
159#19099098C2212yes—
160#19099097C2212yes—
161#19099097C2214yes—
162#19099096C2214yes—
163#19099096C2214yes—
164#19099095C2214yes—
165#19099093C2214yes—
166#19099093C2214yes—
167#19099093C2214yescomplemented
168#19099093C2214yescomplemented
169#19099092C2212yes—
170#19099091C2214yes—
171#19099091C2214yes—
172#19099091C2214yes—
173#19099091C2214yescomplemented
174#19099091C2214yescomplemented
175#19099090C2214yes—
176#125×D79C2211yescharacteristic
177#125×D79C2211yescharacteristic
178#19099076C2212yes—
179#19099073C2212yes—
180#19099072C2214yes—
181#19099071C2214yes—
182C22⋊Q8×D79C2214yes—
183C4×#11929625C2212yes—
184C4×#11929624C2214yes—
185C4×#11929624C2214yescomplemented
186#19099031C2214yes—
187#19099031C2214yes—
188C4×#11929623C2212yes—
189C4×#11929623C2214yes—
190C4×#11929623C2214yescomplemented
191C2×C4×Dic158C2214yescomplemented
192C4×Q8×D79C2214yes—
193C4×Q8×D79C2214yescomplemented
194#117×D79C2212yes—
195C2×C42×D79C2211yescharacteristic
196#564×C79C2211yescharacteristic, complemented
197#563×C79C2214yes—
198#563×C79C2212yescomplemented
199#563×C79C2214yescomplemented
200#562×C79C2214yes—
201#562×C79C2211yescharacteristic, complemented
202#533×C79C2211yescharacteristic
203#533×C79C2214yescomplemented
204#529×C79C2212yes—
205#529×C79C2214yes—
206#529×C79C2214yescomplemented
207C2×#11929625C2312yes—
208C2×#11929624C2314yes—
209C2×#11929624C2314yes—
210C2×#11929623C2312yes—
211C2×#11929623C2314yes—
212C2×#11929623C2314yes—
213C22×Dic158C2314yes—
214C2×Q8×D79C2314yes—
215C2×Q8×D79C2314yes—
216C22×C4×D79C2311yescharacteristic
217C22×C4×D79C2312yes—
218#14579161C2312yes—
219#14579160C2314yes—
220#14579160C2314yes—
221#14579160C2314yes—
222#14579160C2314yes—
223#14579160C2314yes—
224#14579160C2314yes—
225#14579160C2314yes—
226#14579160C2314yes—
227#14579160C2314yes—
228#14579160C2314yes—
229#14579160C2312yes—
230#14579160C2312yes—
231#14579160C2312yes—
232#14579160C2312yes—
233#14579159C2314yes—
234#14579159C2314yes—
235#14579159C2314yes—
236#14579159C2314yes—
237#14579159C2314yes—
238#14579159C2312yes—
239#14579157C2314yes—
240#14579157C2312yes—
241#14579156C2314yes—
242#14579156C2314yes—
243#14579156C2314yes—
244#14579156C2314yes—
245#14579156C2314yes—
246#14579156C2314yes—
247#14579156C2314yes—
248#14579156C2314yes—
249#14579156C2314yes—
250#14579156C2314yes—
251#14579156C2314yes—
252#14579156C2314yes—
253#14579156C2314yes—
254#14579155C2314yes—
255#14579155C2314yes—
256#14579155C2314yes—
257#14579154C2314yes—
258#14579154C2314yes—
259#14579154C2314yes—
260#14579154C2314yes—
261#14579154C2314yes—
262#14579154C2314yes—
263#14579154C2314yes—
264#14579154C2314yes—
265#14579154C2314yes—
266#14579154C2314yes—
267#14579154C2314yes—
268#14579153C2314yes—
269#14579153C2311yescharacteristic
270#14579153C2311yescharacteristic
271#14579153C2312yes—
272#14579152C2314yes—
273#14579152C2314yes—
274#14579152C2314yes—
275#14579152C2314yes—
276#14579152C2314yes—
277#14579152C2314yes—
278#14579152C2314yes—
279#14579152C2312yes—
280#14579152C2312yes—
281#14579151C2314yes—
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#14579151C2314yes—
301#14579150C2314yes—
302#14579150C2314yes—
303#14579149C2314yes—
304#14579149C2312yes—
305#14579148C2314yes—
306#14579147C2314yes—
307#14579147C2314yes—
308#14579147C2314yes—
309#14579147C2314yes—
310#14579147C2314yes—
311#14579147C2314yes—
312#14579147C2314yes—
313#14579147C2314yes—
314#14579147C2314yes—
315#14579147C2314yes—
316#14579147C2314yes—
317#14579147C2314yes—
318#14579146C2314yes—
319#14579146C2314yes—
320#14579146C2314yes—
321#14579146C2314yes—
322#14579146C2314yes—
323#14579146C2314yes—
324#14579146C2314yes—
325#14579146C2314yes—
326#14579146C2314yes—
327#14579146C2314yes—
328#14579145C2314yes—
329#14579145C2314yes—
330#14579145C2314yes—
331#14579145C2314yes—
332#14579144C2314yes—
333#14579144C2314yes—
334#14579144C2314yes—
335#14579143C2314yes—
336#14579143C2314yes—
337#14579143C2314yes—
338#14579143C2314yes—
339#14579143C2314yes—
340#14579143C2314yes—
341#14579143C2314yes—
342#14579143C2314yes—
343#14579142C2314yes—
344#14579142C2314yes—
345#14579142C2314yes—
346#14579142C2314yes—
347#14579141C2314yes—
348#14579141C2314yes—
349#14579141C2314yes—
350#14579141C2314yes—
351#14579141C2314yes—
352#14579141C2314yes—
353#14579141C2312yes—
354#14579140C2314yes—
355#14579140C2314yes—
356#14579140C2312yes—
357#14579139C2314yes—
358#14579139C2314yes—
359#14579139C2314yes—
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#14579138C2314yes—
375#14579138C2314yes—
376#14579138C2314yes—
377#14579138C2314yes—
378#14579138C2314yes—
379#14579138C2314yes—
380#14579138C2314yes—
381#14579138C2314yes—
382#14579138C2314yes—
383#14579138C2314yes—
384#14579138C2314yes—
385#14579138C2314yes—
386#14579138C2314yes—
387#14579138C2314yes—
388#14579138C2314yes—
389#14579137C2314yes—
390#14579137C2314yes—
391#14579137C2314yes—
392#14579137C2314yes—
393#14579137C2314yes—
394#14579137C2314yes—
395#14579137C2314yes—
396#14579137C2312yes—
397#14579136C2314yes—
398#14579136C2314yes—
399#14579136C2314yes—
400#14579136C2312yes—
401#14579135C2314yes—
402#14579135C2312yes—
403#14579134C2314yes—
404#14579134C2314yes—
405#14579134C2314yes—
406#14579134C2314yes—
407#14579134C2314yes—
408#14579134C2314yes—
409#14579134C2314yes—
410#14579134C2314yes—
411#14579134C2314yes—
412#14579133C2314yes—
413#14579133C2314yes—
414#14579133C2314yes—
415#14579133C2314yes—
416#14579133C2314yes—
417#14579132C2314yes—
418#14579132C2314yes—
419#14579132C2312yes—
420#14579131C2314yes—
421#14579129C2314yes—
422Q8×Dic79C2312yes—
423Q8×Dic79C2314yes—
424Q8×Dic79C2314yes—
425C4×Dic158C2314yes—
426C4×Dic158C2314yes—
427C4×Dic158C2314yes—
428C4×Dic158C2314yes—
429C4×Dic158C2314yes—
430C4×Dic158C2314yes—
431C4×Dic158C2314yes—
432C4×Dic158C2314yes—
433C4×Dic158C2314yes—
434C4×Dic158C2314yes—
435C4×Dic158C2314yes—
436C4×Dic158C2314yes—
437C4×Dic158C2314yes—
438C4×Dic158C2314yes—
439C4×Dic158C2312yes—
440#14579126C2314yes—
441#14579126C2312yes—
442#14579126C2314yes—
443#14579126C2314yes—
444#14579126C2314yes—
445#14579126C2314yes—
446#14579126C2314yes—
447#14579126C2314yes—
448#14579126C2314yes—
449#14579126C2314yes—
450#14579126C2314yes—
451#14579126C2314yes—
452#14579126C2314yes—
453C4×D316C2314yes—
454C4×D316C2314yes—
455C4×D316C2314yes—
456C4×D316C2314yes—
457C4×D316C2314yes—
458C4×D316C2312yes—
459D4×Dic79C2314yes—
460D4×Dic79C2312yes—
461D4×Dic79C2314yes—
462#14579123C2314yes—
463#14579123C2314yes—
464#14579123C2314yes—
465#14579123C2312yes—
466#14579123C2314yes—
467#14579123C2314yes—
468C4×C22⋊D79C2314yes—
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—
478C4×C22⋊D79C2314yes—
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#14579120C2314yes—
493#14579120C2312yes—
494#14579120C2314yes—
495#14579119C2314yes—
496#14579119C2312yes—
497#14579119C2312yes—
498#14579119C2312yes—
499#14579119C2314yes—
500#14579119C2312yes—
501#14579119C2314yes—
502#14579118C2314yes—
503#14579118C2314yes—
504#14579118C2314yes—
505#14579118C2314yes—
506#14579118C2314yes—
507#14579118C2314yes—
508#14579118C2314yes—
509#14579117C2314yes—
510#14579117C2314yes—
511#14579117C2314yes—
512#14579117C2314yes—
513#14579117C2314yes—
514#14579117C2314yes—
515C2×C4⋊Dic79C2314yes—
516C2×Dic79⋊C4C2314yes—
517C2×Dic79⋊C4C2314yes—
518C4⋊C4×D79C2314yes—
519C4⋊C4×D79C2312yes—
520C4⋊C4×D79C2312yes—
521C4⋊C4×D79C2314yes—
522C4⋊C4×D79C2314yes—
523C4⋊C4×D79C2314yes—
524C4⋊C4×D79C2314yes—
525C4⋊C4×D79C2314yes—
526C22⋊C4×D79C2314yes—
527C2×C4×Dic79C2311yescharacteristic
528C2×C4×Dic79C2312yes—
529C2×C4×Dic79C2314yes—
530C2×C4×Dic79C2314yes—
531C42×D79C2312yes—
532C42×D79C2312yes—
533C42×D79C2311yescharacteristic
534C42×D79C2311yescharacteristic
535C42×D79C2311yescharacteristic
536C42×D79C2311yescharacteristic
537C42×D79C2314yes—
538C42×D79C2314yes—
539C42×D79C2314yes—
540C42×D79C2314yes—
541C4⋊Q8×C79C2314yes—
542C4⋊Q8×C79C2314yes—
543C4⋊Q8×C79C2312yes—
544#126×C79C2314yes—
545#126×C79C2314yes—
546#126×C79C2314yes—
547#126×C79C2314yes—
548#126×C79C2314yes—
549#125×C79C2314yes—
550#125×C79C2314yes—
551#125×C79C2314yes—
552#125×C79C2314yes—
553#125×C79C2312yes—
554#125×C79C2311yescharacteristic
555#125×C79C2311yescharacteristic
556#124×C79C2314yes—
557#124×C79C2314yes—
558#124×C79C2312yes—
559#123×C79C2314yes—
560#123×C79C2314yes—
561#123×C79C2314yes—
562#123×C79C2314yes—
563#123×C79C2314yes—
564C22⋊Q8×C79C2314yes—
565C22⋊Q8×C79C2314yes—
566C22⋊Q8×C79C2314yes—
567C22⋊Q8×C79C2314yes—
568C22⋊Q8×C79C2314yes—
569C22⋊Q8×C79C2314yes—
570C22⋊Q8×C79C2312yes—
571C22⋊Q8×C79C2314yes—
572#121×C79C2314yes—
573#121×C79C2314yes—
574#121×C79C2312yes—
575C4×Q8×C79C2314yes—
576C4×Q8×C79C2312yes—
577C4×Q8×C79C2314yes—
578C4×D4×C79C2314yes—
579C4×D4×C79C2312yes—
580C4×D4×C79C2314yes—
581#117×C79C2312yes—
582#117×C79C2314yes—
583#117×C79C2314yes—
584C2×C42×C79C2311yescharacteristic
585C2×C42×C79C2314yes—
586C23×D79C2411yescharacteristic
587#11929625—44no—
588#11929624—216no—
589#11929624—48no—
590#11929623—48no—
591#11929623—48no—
592#11929623—44no—
593C2×Dic158—48no—
594C2×Dic158C2414yes—
595C2×Dic158C2414yes—
596C2×Dic158C2414yes—
597C2×Dic158C2414yes—
598C2×Dic158C2414yes—
599C2×Dic158C2414yes—
600C2×Dic158C2414yes—
601C2×Dic158C2414yes—
602C2×Dic158C2412yes—
603Q8×D79—48no—
604Q8×D79—48no—
605C2×D316C2414yes—
606C2×D316C2414yes—
607C2×D316C2414yes—
608C2×D316C2412yes—
609C2×C22⋊D79C2414yes—
610C2×C22⋊D79C2414yes—
611C2×C22⋊D79C2414yes—
612C2×C22⋊D79C2414yes—
613C2×C22⋊D79C2414yes—
614C2×C22⋊D79C2414yes—
615C2×C22⋊D79C2414yes—
616C22×Dic79C2414yes—
617C22×Dic79C2412yes—
618C22×Dic79C2411yescharacteristic
619C22×Dic79C2414yes—
620C22×Dic79C2414yes—
621C22×Dic79C2414yes—
622C2×C4×D79—24no—
623C2×C4×D79—44no—
624C2×C4×D79C2412yes—
625C2×C4×D79C2414yes—
626C2×C4×D79C2412yes—
627C2×C4×D79C2414yes—
628C2×C4×D79C2411yescharacteristic
629C2×C4×D79C2411yescharacteristic
630C2×C4×D79C2411yescharacteristic
631C2×C4×D79C2414yes—
632C2×C4×D79C2414yes—
633C2×C4×D79C2414yes—
634C2×C4×D79C2414yes—
635C2×C4×D79C2414yes—
636C2×C4×D79C2414yes—
637C2×C4×D79C2414yes—
638C2×C4×D79C2412yes—
639C2×C4×D79C2412yes—
640C2×C4×D79C2411yescharacteristic
641C4⋊Dic79C2414yes—
642C4⋊Dic79C2414yes—
643C4⋊Dic79C2414yes—
644C4⋊Dic79C2412yes—
645C4⋊Dic79C2412yes—
646C4⋊Dic79C2414yes—
647C4⋊Dic79C2414yes—
648C4⋊Dic79C2414yes—
649C4⋊Dic79C2414yes—
650C4⋊Dic79C2412yes—
651C4⋊Dic79C2412yes—
652C4⋊Dic79C2414yes—
653C4⋊Dic79C2414yes—
654C4⋊Dic79C2414yes—
655C4⋊Dic79C2414yes—
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—
684Dic79⋊C4C2414yes—
685Dic79⋊C4C2414yes—
686C22⋊Dic79C2414yes—
687C22⋊Dic79C2414yes—
688C22⋊Dic79C2414yes—
689C22⋊Dic79C2414yes—
690C22⋊Dic79C2414yes—
691C22⋊Dic79C2414yes—
692C22⋊Dic79C2414yes—
693C22⋊Dic79C2414yes—
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—
713(C2×D79)⋊C4C2414yes—
714C4×Dic79C2412yes—
715C4×Dic79C2411yescharacteristic
716C4×Dic79C2412yes—
717C4×Dic79C2414yes—
718C4×Dic79C2411yescharacteristic
719C4×Dic79C2412yes—
720C4×Dic79C2412yes—
721C4×Dic79C2412yes—
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×C79C2414yes—
737C2×Q8×C79C2412yes—
738C2×D4×C79C2414yes—
739C2×D4×C79C2412yes—
740C2×D4×C79C2414yes—
741C22×C4×C79C2414yes—
742C22×C4×C79C2411yescharacteristic
743C22×C4×C79C2414yes—
744C22×C4×C79C2414yes—
745C22×C4×C79C2412yes—
746C4⋊C4×C79C2412yes—
747C4⋊C4×C79C2414yes—
748C4⋊C4×C79C2414yes—
749C4⋊C4×C79C2412yes—
750C4⋊C4×C79C2414yes—
751C4⋊C4×C79C2414yes—
752C4⋊C4×C79C2412yes—
753C4⋊C4×C79C2414yes—
754C4⋊C4×C79C2414yes—
755C4⋊C4×C79C2414yes—
756C4⋊C4×C79C2414yes—
757C4⋊C4×C79C2412yes—
758C4⋊C4×C79C2414yes—
759C4⋊C4×C79C2414yes—
760C4⋊C4×C79C2414yes—
761C4⋊C4×C79C2414yes—
762C4⋊C4×C79C2414yes—
763C22⋊C4×C79C2414yes—
764C22⋊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—
773C42×C79C2412yes—
774C42×C79C2414yes—
775C42×C79C2414yes—
776C42×C79C2411yescharacteristic
777C42×C79C2414yes—
778C42×C79C2411yescharacteristic
779C42×C79C2414yes—
780C23×C79C2511yescharacteristic
781C23×C79C2514yes—
782C22×D79—22no—
783C22×D79—42no—
784C22×D79C2511yescharacteristic
785C22×D79C2514yes—
786C22×D79C2511yescharacteristic
787Q8×C79—44no—
788Q8×C79—44no—
789Q8×C79—42no—
790D4×C79—44no—
791D4×C79—44no—
792D4×C79—42no—
793C2×C4×C79—22no—
794C2×C4×C79—28no—
795C2×C4×C79—42no—
796C2×C4×C79—44no—
797C2×C4×C79—44no—
798C2×C4×C79C2514yes—
799C2×C4×C79C2511yescharacteristic
800C2×C4×C79C2514yes—
801C2×C4×C79C2512yes—
802C2×C4×C79C2514yes—
803C2×C4×C79C2514yes—
804C2×C4×C79C2514yes—
805C2×C4×C79C2512yes—
806C2×C4×C79C2511yescharacteristic
807C22⋊D79—28no—
808C22⋊D79—28no—
809C22⋊D79—28no—
810C22⋊D79—44no—
811C22⋊D79—44no—
812C22⋊D79—44no—
813C22⋊D79—44no—
814C2×Dic79—22no—
815C2×Dic79—24no—
816C2×Dic79—28no—
817C2×Dic79—44no—
818C2×Dic79—44no—
819C2×Dic79—44no—
820C2×Dic79C2512yes—
821C2×Dic79C2514yes—
822C2×Dic79C2511yescharacteristic
823C2×Dic79C2514yes—
824C2×Dic79C2514yes—
825C2×Dic79C2514yes—
826C2×Dic79C2514yes—
827C2×Dic79C2511yescharacteristic
828C2×Dic79C2512yes—
829D316—28no—
830D316—44no—
831D316—42no—
832D316—44no—
833C4×D79—22no—
834C4×D79—22no—
835C4×D79—28no—
836C4×D79—22no—
837C4×D79—24no—
838C4×D79—24no—
839C4×D79—28no—
840C4×D79—42no—
841C4×D79—42no—
842C4×D79—44no—
843C4×D79—44no—
844C4×D79—44no—
845C4×D79—44no—
846C4×D79—44no—
847C4×D79—44no—
848C4×D79—44no—
849C4×D792−1+414yes—
850Dic158—28no—
851Dic158—28no—
852Dic158—28no—
853Dic158—28no—
854Dic158—44no—
855Dic158—44no—
856Dic158—44no—
857Dic158—44no—
858Dic158—42no—
859C22×C79—24no—
860C22×C79—21no—
861C22×C79—24no—
862C22×C79—22no—
863C22×C79—24no—
864C22×C79C2611yescharacteristic
865C2×D79—22no—
866C2×D79—24no—
867C2×D79—21no—
868C2×D79—24no—
869C2×D79—22no—
870C2×D79—24no—
871C2×D79—44no—
872C2×D79C2×2−1+412yes—
873C4×C79—24no—
874C4×C79—21no—
875C4×C79—24no—
876C4×C79—24no—
877C4×C79—22no—
878C4×C79—24no—
879C4×C79—22no—
880C4×C79—24no—
881C4×C79C2×2−1+412yes—
882Dic79—24no—
883Dic79—21no—
884Dic79—24no—
885Dic79—24no—
886Dic79—24no—
887Dic79—24no—
888Dic79—22no—
889Dic79C2×2−1+412yes—
890Dic79#58514yes—
891#62761—791nomaximal, Sylow
892C2×C79—41no—
893C2×C79—44no—
894C2×C79C22×2−1+411yescharacteristic
895C2×C79C2×#58512yes—
896D79—22no—
897D79—44no—
898D79—41no—
899#3557—794no—
900#3556—791no—
901#3555—794no—
902#3554—794no—
903#3553—791no—
904#3553—792no—
905#3553—791no—
906#3552—794no—
907#3550—792no—
908#3548—791no—
909#3541—794no—
910#3541—794no—
911#3531—791no—
912#3531—792no—
913#3531D7911yescharacteristic, complemented
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—792no—
930#563—792no—
931#563—792no—
932#563—794no—
933#563—794no—
934#563—794no—
935#563C2×D7914yes—
936#563C2×D7912yescomplemented
937#563C2×D7914yescomplemented
938#562—791no—
939#562—792no—
940#562—794no—
941#562—794no—
942#562—794no—
943#562C2×D7914yes—
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#554—794no—
969#553—794no—
970#553—794no—
971#553—794no—
972#553—794no—
973#553—794no—
974#553—794no—
975#552—794no—
976#552—794no—
977#552—794no—
978#552—794no—
979#552—794no—
980#552—794no—
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#541—794no—
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#539—794no—
1030#539—794no—
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—792no—
1042#533—791no—
1043#533—791no—
1044#533—792no—
1045#533—794no—
1046#533—792no—
1047#533—794no—
1048#533—792no—
1049#533—794no—
1050#533—794no—
1051#533—794no—
1052#533—794no—
1053#533—792no—
1054#533—794no—
1055#533—794no—
1056#533—791no—
1057#533C2×D7911yescharacteristic
1058#533C2×D7914yescomplemented
1059#532—792no—
1060#532—792no—
1061#532—792no—
1062#532—794no—
1063C2×C4⋊Q8—792no—
1064#529—794no—
1065#529—794no—
1066#529—792no—
1067#529—792no—
1068#529—794no—
1069#529—794no—
1070#529—794no—
1071#529—794no—
1072#529—794no—
1073#529—794no—
1074#529—794no—
1075#529—794no—
1076#529—794no—
1077#529—794no—
1078#529—794no—
1079#529—794no—
1080#529—794no—
1081#529—792no—
1082#529—794no—
1083#529C2×D7912yes—
1084#529C2×D7914yes—
1085#529C2×D7914yescomplemented
1086C2×#125—791no—
1087C2×#125—791no—
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—794no—
1118C4⋊Q8—792no—
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—794no—
1129C4⋊Q8—794no—
1130C4⋊Q8—794no—
1131C4⋊Q8—794no—
1132C4⋊Q8—794no—
1133C4⋊Q8—794no—
1134C4⋊Q8—794no—
1135C4⋊Q8—794no—
1136C4⋊Q8—794no—
1137C4⋊Q8—792no—
1138C4⋊Q8C22×D7912yes—
1139C4⋊Q8C22×D7914yes—
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—792no—
1178#125—792no—
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—794no—
1200#125—794no—
1201#125—794no—
1202#125—794no—
1203#125—794no—
1204#125—791no—
1205#125—791no—
1206#125—792no—
1207#125—794no—
1208#125C22×D7911yescharacteristic
1209#125C22×D7911yescharacteristic
1210#125C22×D7912yes—
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#124C22×D7912yes—
1233#124C22×D7914yes—
1234#124C22×D7914yes—
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—794no—
1270C22⋊Q8—792no—
1271C22⋊Q8—794no—
1272C22⋊Q8—794no—
1273C22⋊Q8—794no—
1274C22⋊Q8—794no—
1275C22⋊Q8—794no—
1276C22⋊Q8—794no—
1277C22⋊Q8—794no—
1278C22⋊Q8—792no—
1279C22⋊Q8—794no—
1280C22⋊Q8—794no—
1281C22⋊Q8—794no—
1282C22⋊Q8—794no—
1283C22⋊Q8—794no—
1284C22⋊Q8—794no—
1285C22⋊Q8—794no—
1286C22⋊Q8—792no—
1287C22⋊Q8—794no—
1288C22⋊Q8—794no—
1289C22⋊Q8—794no—
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⋊Q8C22×D7914yes—
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—792no—
1338#121—794no—
1339#121—794no—
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—794no—
1357C4×Q8—792no—
1358C4×Q8—794no—
1359C4×Q8—794no—
1360C4×Q8—794no—
1361C4×Q8—794no—
1362C4×Q8—794no—
1363C4×Q8—794no—
1364C4×Q8—792no—
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—794no—
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×Q8C22×D7914yes—
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—792no—
1424C4×D4—794no—
1425C4×D4—794no—
1426C4×D4—794no—
1427C4×D4—794no—
1428C4×D4C22×D7914yes—
1429C4×D4C22×D7912yes—
1430C4×D4C22×D7914yes—
1431#117—792no—
1432#117—794no—
1433#117—794no—
1434#117—792no—
1435#117—792no—
1436#117—792no—
1437#117—792no—
1438#117—794no—
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#117C22×D7912yes—
1455#117C22×D7914yes—
1456#117C22×D7914yes—
1457C2×C4⋊C4—794no—
1458C2×C4⋊C4—794no—
1459C2×C4⋊C4—794no—
1460C2×C4⋊C4—792no—
1461C2×C4⋊C4—792no—
1462C2×C4⋊C4—794no—
1463C2×C4⋊C4—794no—
1464C2×C4⋊C4—794no—
1465C2×C4⋊C4—794no—
1466C2×C4⋊C4—794no—
1467C2×C4⋊C4—794no—
1468C2×C22⋊C4—794no—
1469C2×C42—794no—
1470C2×C42—794no—
1471C2×C42—791no—
1472C2×C42—792no—
1473C2×C42—794no—
1474C2×C42—792no—
1475C2×C42—794no—
1476C2×C42—794no—
1477C2×C42—794no—
1478C2×C42—792no—
1479C2×C42—791no—
1480C2×C42—791no—
1481C2×C42—791no—
1482C2×C42—791no—
1483C2×C42C22×D7914yes—
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—792no—
1500C2×Q8—794no—
1501C2×Q8—794no—
1502C2×Q8—794no—
1503C2×Q8—794no—
1504C2×Q8C23×D7914yes—
1505C2×Q8C23×D7914yes—
1506C2×Q8C23×D7912yes—
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—792no—
1517C2×D4—794no—
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—794no—
1533C22×C4—794no—
1534C22×C4—791no—
1535C22×C4—791no—
1536C22×C4—792no—
1537C22×C4—794no—
1538C22×C4—791no—
1539C22×C4—792no—
1540C22×C4—791no—
1541C22×C4—792no—
1542C22×C4—794no—
1543C22×C4—794no—
1544C22×C4—791no—
1545C22×C4—1584no—
1546C22×C4C23×D7914yes—
1547C22×C4C23×D7911yescharacteristic
1548C22×C4C23×D7912yes—
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—794no—
1582C4⋊C4—794no—
1583C4⋊C4—794no—
1584C4⋊C4—792no—
1585C4⋊C4—792no—
1586C4⋊C4—794no—
1587C4⋊C4—794no—
1588C4⋊C4—794no—
1589C4⋊C4—794no—
1590C4⋊C4—792no—
1591C4⋊C4—792no—
1592C4⋊C4—794no—
1593C4⋊C4—794no—
1594C4⋊C4—794no—
1595C4⋊C4—794no—
1596C4⋊C4C23×D7912yes—
1597C4⋊C4C23×D7912yes—
1598C4⋊C4C23×D7914yes—
1599C4⋊C4C23×D7914yes—
1600C4⋊C4C23×D7914yes—
1601C4⋊C4C23×D7914yes—
1602C4⋊C4C23×D7914yes—
1603C4⋊C4C23×D7914yes—
1604C4⋊C4C23×D7912yes—
1605C4⋊C4C23×D7914yes—
1606C4⋊C4C23×D7912yes—
1607C4⋊C4C23×D7914yes—
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⋊C4C23×D7914yes—
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—791no—
1652C42—792no—
1653C42—791no—
1654C42—792no—
1655C42—792no—
1656C42—792no—
1657C42—794no—
1658C42—794no—
1659C42—794no—
1660C42—794no—
1661C42—794no—
1662C42—794no—
1663C42—794no—
1664C42—794no—
1665C42—794no—
1666C42—794no—
1667C42—794no—
1668C42—794no—
1669C42—792no—
1670C42—794no—
1671C42—794no—
1672C42C23×D7911yescharacteristic
1673C42C23×D7911yescharacteristic
1674C42C23×D7914yes—
1675C42C23×D7914yes—
1676C42C23×D7914yes—
1677C42C23×D7912yes—
1678C42C23×D7914yes—
1679C23—3162no—
1680C23—791no—
1681C23—791no—
1682C23—794no—
1683C23—1582no—
1684C23C24×D7911yescharacteristic
1685C23C24×D7914yes—
1686Q8—44no—
1687Q8—44no—
1688Q8—42no—
1689Q8—3164no—
1690Q8—3164no—
1691Q8—3164no—
1692Q8—3164no—
1693Q8—3162no—
1694Q8—1588no—
1695Q8—1588no—
1696Q8—1588no—
1697Q8—1588no—
1698D4—44no—
1699D4—44no—
1700D4—42no—
1701D4—3164no—
1702D4—3162no—
1703D4—3164no—
1704D4—3164no—
1705D4—3164no—
1706D4—3164no—
1707D4—3164no—
1708D4—1588no—
1709D4—1588no—
1710D4—1588no—
1711D4—1588no—
1712C2×C4—22no—
1713C2×C4—28no—
1714C2×C4—42no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—3162no—
1718C2×C4—3162no—
1719C2×C4—3164no—
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—3164no—
1729C2×C4—791no—
1730C2×C4—792no—
1731C2×C4—794no—
1732C2×C4—792no—
1733C2×C4—794no—
1734C2×C4—791no—
1735C2×C4—794no—
1736C2×C4—794no—
1737C2×C4—794no—
1738C2×C4—794no—
1739C2×C4—1584no—
1740C2×C4—1584no—
1741C2×C4—1582no—
1742C2×C4—1588no—
1743C2×C4—1582no—
1744C2×C4—1584no—
1745C2×C4—1582no—
1746C2×C4—1588no—
1747C2×C4—1582no—
1748C2×C4—1588no—
1749C2×C4C24×D7914yes—
1750C2×C4C24×D7911yescharacteristic
1751C2×C4C24×D7914yes—
1752C2×C4C24×D7912yes—
1753C2×C4C24×D7914yes—
1754C2×C4C24×D7914yes—
1755C2×C4C24×D7914yes—
1756C2×C4C24×D7912yes—
1757C2×C4C24×D7911yescharacteristic
1758C22—21no—
1759C22—24no—
1760C22—24no—
1761C22—24no—
1762C22—22no—
1763C22—3164no—
1764C22—792no—
1765C22—1581no—
1766C22—1584no—
1767C22—1584no—
1768C22—1584no—
1769C22—1582no—
1770C22—1582no—
1771C22C25×D7911yescharacteristic
1772C4—21no—
1773C4—24no—
1774C4—24no—
1775C4—24no—
1776C4—24no—
1777C4—22no—
1778C4—24no—
1779C4—22no—
1780C4—792no—
1781C4—794no—
1782C4—1581no—
1783C4—1584no—
1784C4—1582no—
1785C4—1584no—
1786C4—1584no—
1787C4—1584no—
1788C4—1584no—
1789C42−1+4×D7912yes—
1790C2—41no—
1791C2—44no—
1792C2—3161no—
1793C2—3164no—
1794C2—1582no—
1795C2C2×2−1+4×D7911yescharacteristic
1796C2#585×D7912yes—
subgroupG/H
centerC2×C4C24×D79
commutator, socle, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC79×#3531C2
hypercenter#3531D79
hypocenterC79#62761
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ #3531

Complements

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

NH ≅ G/Ntype
1. #23777900C2semidirect
2. #23777894C2semidirect
3. #23777879C2semidirect
4. #23777862C2semidirect
5. #23777857C2semidirect
6. #23777855C2semidirect
7. #23777851C2semidirect
8. #23777834C2semidirect
9. #23777810C2semidirect
10. #23777796C2semidirect
11. #23777690C2semidirect
12. #23777682C2semidirect
13. #23777547C2semidirect
14. #23777545C2semidirect
15. #23777013C2semidirect
16. #23776991C2semidirect
17. #23776978C2semidirect
18. #23776831C2semidirect
19. #23776829C2semidirect
20. #23776783C2semidirect
21. #23776694C2semidirect
22. #533×D79C2semidirect
23. C79×#3531C2semidirect
24. C79⋊#564C22semidirect
25. C79⋊#564C22semidirect
26. #19099317C22semidirect
27. #19099317C22semidirect
29. #19099315C22semidirect
30. #19099315C22semidirect
33. #19099313C22semidirect
34. #19099312C22semidirect
35. #19099311C22semidirect
39. #19099307C22semidirect
40. #19099297C22semidirect
41. #19099297C22semidirect
42. #19099295C22semidirect
43. #19099293C22semidirect
44. #19099290C22semidirect
45. #19099290C22semidirect
46. #19099290C22semidirect
47. #19099290C22semidirect
48. #19099288C22semidirect
49. #19099284C22semidirect
52. #19099280C22semidirect
53. #19099280C22semidirect
54. #19099280C22semidirect
57. #19099271C22semidirect
62. #19099267C22semidirect
63. #19099267C22semidirect
70. #19099255C22semidirect
71. #19099251C22semidirect
73. #19099250C22semidirect
75. #19099249C22semidirect
76. #19099231C22semidirect
79. #19099226C22semidirect
80. #19099226C22semidirect
87. #19099211C22semidirect
88. #19099192C22semidirect
89. #19099190C22semidirect
94. #19099183C22semidirect
101. #19099177C22semidirect
102. #19099174C22semidirect
103. #19099173C22semidirect
107. #19099172C22semidirect
108. #19099172C22semidirect
110. #19099170C22semidirect
111. #19099170C22semidirect
117. #19099161C22semidirect
120. #19099159C22semidirect
121. #19099158C22semidirect
123. #19099157C22semidirect
133. #19099136C22semidirect
135. #19099135C22semidirect
144. #19099117C22semidirect
145. #19099117C22semidirect
146. #19099117C22semidirect
148. #19099116C22semidirect
149. #19099116C22semidirect
158. #19099100C22semidirect
167. #19099093C22semidirect
168. #19099093C22semidirect
173. #19099091C22semidirect
174. #19099091C22semidirect
185. C4×#11929624C22semidirect
190. C4×#11929623C22semidirect
191. C2×C4×Dic158C22semidirect
193. C4×Q8×D79C22semidirect
196. #564×C79C22semidirect
198. #563×C79C22semidirect
199. #563×C79C22semidirect
201. #562×C79C22semidirect
203. #533×C79C22semidirect
206. #529×C79C22semidirect
913. #3531D79semidirect
922. C79#62761semidirect
925. #564C2×D79semidirect
936. #563C2×D79semidirect
937. #563C2×D79semidirect
944. #562C2×D79semidirect
1058. #533C2×D79semidirect
1085. #529C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779002
#237778942
#237778792
#237778622
#237778572
#237778552
#237778512
#237778342
#237778102
#237777962
#237776902
#237776822
#237775472
#237775452
#237770132
#237769912
#237769782
#237768312
#237768292
#237767832
#237766942
#533×D792
C79×#35312
#6276179