Finite Group Databasebeta

← #35197223

Subgroups — #35197223

Order 20224.

6428 conjugacy classes of subgroups.

The subgroup lattice has 1518 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778007C214yesmaximal, complemented
2#23777996C214yesmaximal, complemented
3#23777893C212yesmaximal, complemented
4#23777883C214yesmaximal, complemented
5#23777875C214yesmaximal, complemented
6#23777809C212yesmaximal, complemented
7#23777648C212yesmaximal, complemented
8#23777643C212yesmaximal, complemented
9#23777492C214yesmaximal, complemented
10#23777490C214yesmaximal, complemented
11#23777286C211yesmaximal, characteristic, complemented
12#23777279C212yesmaximal, complemented
13#23777279C212yesmaximal, complemented
14#23777279C212yesmaximal, complemented
15#23777259C214yesmaximal, complemented
16#23777216C212yesmaximal, complemented
17#23777212C212yesmaximal, complemented
18#23777207C214yesmaximal, complemented
19#23777151C214yesmaximal, complemented
20#23777145C214yesmaximal, complemented
21#23776693C211yesmaximal, characteristic
22#533×D79C212yesmaximal, complemented
23C79×#3509C211yesmaximal, characteristic, complemented
24C79⋊#564C2218yescomplemented
25#19099316C2214yes—
26#19099316C2214yescomplemented
27#19099315C2218yes—
28#19099313C2214yes—
29#19099312C2214yescomplemented
30#19099297C2214yescomplemented
31Q8×Dic158C2214yescomplemented
32#19099293C2214yescomplemented
33#19099293C2214yescomplemented
34#19099291C2214yescomplemented
35#19099291C2218yescomplemented
36#19099291C2214yescomplemented
37#19099290C2218yescomplemented
38#19099290C2214yescomplemented
39#19099290C2218yescomplemented
40#19099290C2214yescomplemented
41#19099290C2214yescomplemented
42#19099289C2214yescomplemented
43#19099289C2214yescomplemented
44#19099289C2214yescomplemented
45#19099288C2214yescomplemented
46#19099284C2214yes—
47#19099284C2214yescomplemented
48#19099284C2214yescomplemented
49#19099283C2214yes—
50#19099281C2214yes—
51#19099281C2214yescomplemented
52#19099281C2218yescomplemented
53#19099281C2214yescomplemented
54#19099280C2218yescomplemented
55#19099274C2214yes—
56#19099273C2214yes—
57#19099271C2214yes—
58#19099271C2214yescomplemented
59#19099268C2214yes—
60#19099268C2214yescomplemented
61#19099254C2214yes—
62#19099254C2218yes—
63#19099254C2214yes—
64#19099254C2214yescomplemented
65#19099253C2214yes—
66#19099253C2214yescomplemented
67#19099252C2214yes—
68#19099252C2214yes—
69#19099252C2214yes—
70#19099252C2218yes—
71#19099251C2214yes—
72#19099251C2214yes—
73#19099251C2214yescomplemented
74#19099249C2218yes—
75#19099247C2214yes—
76#19099247C2214yes—
77#19099247C2214yes—
78#19099245C2218yes—
79#19099243C2214yes—
80#19099241C2214yes—
81#19099238C2218yes—
82Q8×D316C2214yes—
83#19099228C2214yes—
84Q8×C22⋊D79C2214yes—
85Q8×C22⋊D79C2214yescomplemented
86#19099226C2214yes—
87#19099226C2214yescomplemented
88#19099194C2214yescomplemented
89#19099193C2218yes—
90#19099193C2214yes—
91#19099193C2214yescomplemented
92#19099191C2214yescomplemented
93#19099190C2218yes—
94#19099190C2214yes—
95#19099190C2214yescomplemented
96#19099181C2218yes—
97#19099177C2218yes—
98#19099175C2212yes—
99#19099175C2212yescomplemented
100#19099175C2218yescomplemented
101#19099173C2214yes—
102#19099173C2214yescomplemented
103#19099173C2214yescomplemented
104#19099172C2218yescomplemented
105#19099171C2214yescomplemented
106#19099171C2218yescomplemented
107#19099171C2214yescomplemented
108#19099171C2214yescomplemented
109#19099170C2218yes—
110#19099170C2218yes—
111#19099170C2218yescomplemented
112#19099161C2218yes—
113#19099156C2218yes—
114#19099136C2214yes—
115#19099136C2214yes—
116#19099136C2214yes—
117#19099134C2212yes—
118#19099120C2212yes—
119#19099120C2212yescomplemented
120#19099120C2211yescharacteristic, complemented
121#19099119C2218yes—
122#19099119C2214yes—
123#19099118C2212yes—
124#19099118C2212yes—
125#19099118C2212yescomplemented
126#19099118C2212yescomplemented
127#19099118C2212yescomplemented
128#19099117C2218yes—
129#19099117C2214yes—
130#19099117C2214yes—
131#19099117C2212yes—
132#19099116C2214yes—
133#19099116C2211yescharacteristic
134#19099115C2214yes—
135#19099115C2214yes—
136#19099110C2212yes—
137#19099109C2211yescharacteristic
138C2×#14579161C2211yescharacteristic, complemented
139C4⋊Q8×D79C2212yes—
140C4⋊Q8×D79C2212yes—
141C4⋊Q8×D79C2212yescomplemented
142#19099100C2212yes—
143#19099096C2218yes—
144#19099095C2212yes—
145#19099093C2212yes—
146#19099093C2212yes—
147#19099091C2218yes—
148#19099091C2212yes—
149#19099091C2212yes—
150#125×D79C2214yes—
151#19099075C2211yescharacteristic
152#19099072C2212yes—
153#19099072C2212yes—
154#19099070C2211yescharacteristic
155C22⋊Q8×D79C2214yes—
156C22⋊Q8×D79C2214yes—
157#19099044C2214yes—
158#19099043C2214yes—
159#19099040C2212yescomplemented
160#19099039C2214yes—
161#19099039C2214yes—
162#19099039C2214yescomplemented
163C4×#11929624C2212yes—
164C4×#11929624C2212yes—
165C4×#11929624C2211yescharacteristic
166C4×Q8×D79C2214yes—
167C4×Q8×D79C2214yes—
168#117×D79C2214yes—
169C2×C42×D79C2211yescharacteristic
170#557×C79C2214yescomplemented
171#556×C79C2214yes—
172#552×C79C2214yes—
173#552×C79C2214yescomplemented
174#541×C79C2212yes—
175#541×C79C2212yescomplemented
176#536×C79C2212yes—
177#533×C79C2212yes—
178#533×C79C2212yescomplemented
179#533×C79C2211yescharacteristic, complemented
180C2×C4⋊Q8×C79C2211yescharacteristic, complemented
181#519×C79C2212yescomplemented
182C4×#41×C79C2211yescharacteristic
183C2×#11929624C2312yes—
184C2×#11929624C2312yes—
185C2×#11929624C2311yescharacteristic
186C22×Dic158C2312yes—
187C2×Q8×D79C2314yes—
188C2×Q8×D79C2314yes—
189C2×Q8×D79C2314yes—
190C22×C4×D79C2312yes—
191C22×C4×D79C2311yescharacteristic
192#14579161C2312yes—
193#14579161C2318yes—
194#14579161C2314yes—
195#14579161C2312yes—
196#14579161C2312yes—
197#14579160C2318yes—
198#14579160C2318yes—
199#14579160C2318yes—
200#14579160C2318yes—
201#14579160C2318yes—
202#14579160C2318yes—
203#14579160C2314yes—
204#14579160C2314yes—
205#14579160C2314yes—
206#14579160C2314yes—
207#14579160C2314yes—
208#14579160C2314yes—
209#14579160C2312yes—
210#14579159C2314yes—
211#14579159C2314yes—
212#14579159C2318yes—
213#14579159C2318yes—
214#14579159C2314yes—
215#14579159C2314yes—
216#14579159C2311yescharacteristic
217#14579157C2311yescharacteristic
218#14579156C2318yes—
219#14579156C2312yes—
220#14579156C2318yes—
221#14579156C2318yes—
222#14579156C2312yes—
223#14579155C2318yes—
224#14579155C2318yes—
225#14579155C2318yes—
226#14579154C2318yes—
227#14579154C2318yes—
228#14579154C2318yes—
229#14579154C2318yes—
230#14579154C2318yes—
231#14579154C2312yes—
232#14579154C2318yes—
233#14579154C2318yes—
234#14579154C2312yes—
235#14579154C2318yes—
236#14579153C2318yes—
237#14579153C2318yes—
238#14579153C2318yes—
239#14579153C2318yes—
240#14579153C2312yes—
241#14579153C2314yes—
242#14579153C2314yes—
243#14579152C2318yes—
244#14579152C2318yes—
245#14579152C2318yes—
246#14579152C2318yes—
247#14579152C2314yes—
248#14579152C2314yes—
249#14579152C2314yes—
250#14579152C2314yes—
251#14579152C2314yes—
252#14579152C2312yes—
253#14579151C2318yes—
254#14579151C2318yes—
255#14579151C2318yes—
256#14579151C2318yes—
257#14579151C2318yes—
258#14579151C2318yes—
259#14579151C2318yes—
260#14579151C2318yes—
261#14579151C2318yes—
262#14579151C2318yes—
263#14579151C2318yes—
264#14579151C2318yes—
265#14579151C2318yes—
266#14579151C2312yes—
267#14579151C2312yes—
268#14579151C2318yes—
269#14579150C2311yescharacteristic
270#14579148C2314yes—
271#14579148C2311yescharacteristic
272#14579147C2318yes—
273#14579147C2318yes—
274#14579147C2318yes—
275#14579147C2312yes—
276#14579147C2312yes—
277#14579146C2318yes—
278#14579146C2318yes—
279#14579146C2318yes—
280#14579146C2312yes—
281#14579146C2312yes—
282#14579145C2312yes—
283#14579143C2318yes—
284#14579143C2318yes—
285#14579143C2318yes—
286#14579143C2312yes—
287#14579143C2312yes—
288#14579142C2314yes—
289#14579142C2314yes—
290#14579142C2311yescharacteristic
291#14579142C2311yescharacteristic
292#14579141C2314yes—
293#14579141C2314yes—
294#14579141C2314yes—
295#14579141C2318yes—
296#14579141C2312yes—
297#14579141C2318yes—
298#14579141C2314yes—
299#14579141C2314yes—
300#14579140C2314yes—
301#14579140C2314yes—
302#14579140C2314yes—
303#14579140C2318yes—
304#14579140C2318yes—
305#14579140C2314yes—
306#14579140C2314yes—
307#14579139C2318yes—
308#14579139C2318yes—
309#14579139C2318yes—
310#14579139C2318yes—
311#14579139C2318yes—
312#14579139C2318yes—
313#14579139C2312yes—
314#14579139C2312yes—
315#14579138C2318yes—
316#14579138C2312yes—
317#14579138C2312yes—
318#14579138C2318yes—
319#14579138C2318yes—
320#14579138C2318yes—
321#14579137C2314yes—
322#14579137C2314yes—
323#14579137C2314yes—
324#14579137C2318yes—
325#14579137C2312yes—
326#14579137C2318yes—
327#14579137C2314yes—
328#14579137C2314yes—
329#14579136C2312yes—
330#14579134C2312yes—
331#14579134C2312yes—
332#14579133C2312yes—
333#14579133C2312yes—
334#14579132C2312yes—
335#14579131C2312yes—
336#14579129C2311yescharacteristic
337#14579129C2311yescharacteristic
338Q8×Dic79C2314yes—
339Q8×Dic79C2314yes—
340Q8×Dic79C2314yes—
341Q8×Dic79C2314yes—
342Q8×Dic79C2314yes—
343C4×Dic158C2318yes—
344C4×Dic158C2318yes—
345C4×Dic158C2318yes—
346C4×Dic158C2314yes—
347C4×Dic158C2314yes—
348C4×Dic158C2314yes—
349C4×Dic158C2314yes—
350C4×Dic158C2318yes—
351C4×Dic158C2318yes—
352C4×Dic158C2314yes—
353C4×Dic158C2318yes—
354C4×Dic158C2312yes—
355C4×Dic158C2312yes—
356C4×Dic158C2312yes—
357C4×Dic158C2312yes—
358C4×Dic158C2312yes—
359#14579126C2318yes—
360#14579126C2318yes—
361#14579126C2318yes—
362#14579126C2318yes—
363#14579126C2314yes—
364#14579126C2314yes—
365#14579126C2314yes—
366#14579126C2318yes—
367#14579126C2314yes—
368#14579126C2314yes—
369#14579126C2318yes—
370#14579126C2318yes—
371C4×D316C2318yes—
372C4×D316C2312yes—
373C4×D316C2312yes—
374C4×D316C2312yes—
375C4×D316C2312yes—
376C4×D316C2312yes—
377#14579123C2318yes—
378C4×C22⋊D79C2318yes—
379C4×C22⋊D79C2318yes—
380C4×C22⋊D79C2312yes—
381C4×C22⋊D79C2312yes—
382C4×C22⋊D79C2312yes—
383C4×C22⋊D79C2312yes—
384C4×C22⋊D79C2312yes—
385C4×C22⋊D79C2312yes—
386C4×C22⋊D79C2312yes—
387C4×C22⋊D79C2312yes—
388C4×C22⋊D79C2312yes—
389C4×C22⋊D79C2312yes—
390(C22⋊D79)⋊C4C2318yes—
391(C22⋊D79)⋊C4C2318yes—
392#14579120C2311yescharacteristic
393#14579120C2312yes—
394#14579120C2312yes—
395#14579120C2314yes—
396#14579120C2312yes—
397#14579120C2314yes—
398#14579119C2314yes—
399#14579119C2314yes—
400#14579119C2314yes—
401#14579119C2318yes—
402#14579119C2318yes—
403#14579119C2314yes—
404#14579119C2318yes—
405#14579119C2314yes—
406#14579118C2312yes—
407#14579118C2312yes—
408#14579118C2312yes—
409#14579118C2318yes—
410#14579118C2312yes—
411#14579118C2318yes—
412#14579118C2312yes—
413#14579118C2318yes—
414#14579118C2318yes—
415#14579117C2318yes—
416#14579117C2318yes—
417C2×C4⋊Dic79C2314yes—
418C4⋊C4×D79C2318yes—
419C4⋊C4×D79C2314yes—
420C4⋊C4×D79C2314yes—
421C4⋊C4×D79C2314yes—
422C4⋊C4×D79C2318yes—
423C4⋊C4×D79C2314yes—
424C4⋊C4×D79C2314yes—
425C4⋊C4×D79C2314yes—
426C22⋊C4×D79C2318yes—
427C2×C4×Dic79C2312yes—
428C2×C4×Dic79C2311yescharacteristic
429C42×D79C2312yes—
430C42×D79C2312yes—
431C42×D79C2312yes—
432C42×D79C2312yes—
433C42×D79C2318yes—
434C42×D79C2312yes—
435C2×#41×C79C2311yescharacteristic
436C22×Q8×C79C2312yes—
437C4⋊Q8×C79C2314yes—
438C4⋊Q8×C79C2314yes—
439C4⋊Q8×C79C2312yes—
440C4⋊Q8×C79C2312yes—
441C4⋊Q8×C79C2312yes—
442#126×C79C2318yes—
443#126×C79C2318yes—
444#125×C79C2318yes—
445#125×C79C2318yes—
446#125×C79C2314yes—
447#125×C79C2312yes—
448#125×C79C2314yes—
449#124×C79C2314yes—
450#123×C79C2314yes—
451#123×C79C2314yes—
452C22⋊Q8×C79C2314yes—
453C22⋊Q8×C79C2314yes—
454C22⋊Q8×C79C2314yes—
455C22⋊Q8×C79C2314yes—
456C22⋊Q8×C79C2314yes—
457C4×Q8×C79C2314yes—
458C4×Q8×C79C2318yes—
459C4×Q8×C79C2314yes—
460C4×Q8×C79C2314yes—
461C4×Q8×C79C2314yes—
462C4×Q8×C79C2312yes—
463C4×Q8×C79C2314yes—
464C4×D4×C79C2312yes—
465C4×D4×C79C2312yes—
466C4×D4×C79C2312yes—
467#117×C79C2311yescharacteristic
468#117×C79C2311yescharacteristic
469#117×C79C2318yes—
470#117×C79C2314yes—
471#117×C79C2311yescharacteristic
472#117×C79C2312yes—
473#117×C79C2314yes—
474C2×C4⋊C4×C79C2314yes—
475C2×C42×C79C2311yescharacteristic
476C2×C42×C79C2311yescharacteristic
477C2×C42×C79C2311yescharacteristic
478C23×D79C2411yescharacteristic
479#11929624—28no—
480#11929624—28no—
481#11929624—42no—
482C2×Dic158—44no—
483C2×Dic158C2414yes—
484C2×Dic158C2418yes—
485C2×Dic158C2414yes—
486C2×Dic158C2412yes—
487C2×Dic158C2412yes—
488C2×Dic158C2418yes—
489C2×Dic158C2418yes—
490C2×Dic158C2414yes—
491C2×Dic158C2411yescharacteristic
492Q8×D79—216no—
493Q8×D79—48no—
494Q8×D79—48no—
495C2×D316C2412yes—
496C2×D316C2412yes—
497C2×D316C2411yescharacteristic
498C2×C22⋊D79C2412yes—
499C2×C22⋊D79C2412yes—
500C2×C22⋊D79C2412yes—
501C2×C22⋊D79C2412yes—
502C2×C22⋊D79C2412yes—
503C22×Dic79C2412yes—
504C22×Dic79C2414yes—
505C22×Dic79C2411yescharacteristic
506C2×C4×D79—28no—
507C2×C4×D79—42no—
508C2×C4×D79C2412yes—
509C2×C4×D79C2412yes—
510C2×C4×D79C2418yes—
511C2×C4×D79C2412yes—
512C2×C4×D79C2412yes—
513C2×C4×D79C2412yes—
514C2×C4×D79C2412yes—
515C2×C4×D79C2412yes—
516C2×C4×D79C2418yes—
517C2×C4×D79C2418yes—
518C2×C4×D79C2412yes—
519C2×C4×D79C2412yes—
520C4⋊Dic79C2414yes—
521C4⋊Dic79C2414yes—
522C4⋊Dic79C2414yes—
523C4⋊Dic79C2414yes—
524C4⋊Dic79C2418yes—
525C4⋊Dic79C2418yes—
526C4⋊Dic79C2418yes—
527C4⋊Dic79C2418yes—
528C4⋊Dic79C2418yes—
529C4⋊Dic79C2418yes—
530C4⋊Dic79C2412yes—
531C4⋊Dic79C2412yes—
532C4⋊Dic79C2412yes—
533C4⋊Dic79C2412yes—
534C4⋊Dic79C2412yes—
535Dic79⋊C4C2418yes—
536Dic79⋊C4C2418yes—
537Dic79⋊C4C2418yes—
538Dic79⋊C4C2418yes—
539Dic79⋊C4C2418yes—
540Dic79⋊C4C2418yes—
541Dic79⋊C4C2418yes—
542Dic79⋊C4C2418yes—
543Dic79⋊C4C2418yes—
544Dic79⋊C4C2418yes—
545Dic79⋊C4C2418yes—
546Dic79⋊C4C2412yes—
547Dic79⋊C4C2412yes—
548Dic79⋊C4C2412yes—
549Dic79⋊C4C2412yes—
550Dic79⋊C4C2412yes—
551Dic79⋊C4C2412yes—
552Dic79⋊C4C2412yes—
553Dic79⋊C4C2412yes—
554Dic79⋊C4C2412yes—
555Dic79⋊C4C2412yes—
556Dic79⋊C4C2418yes—
557Dic79⋊C4C2418yes—
558Dic79⋊C4C2418yes—
559Dic79⋊C4C2418yes—
560Dic79⋊C4C2418yes—
561C22⋊Dic79C2418yes—
562C22⋊Dic79C2414yes—
563C22⋊Dic79C2411yescharacteristic
564C22⋊Dic79C2411yescharacteristic
565C22⋊Dic79C2412yes—
566C22⋊Dic79C2412yes—
567C22⋊Dic79C2412yes—
568C22⋊Dic79C2412yes—
569C22⋊Dic79C2418yes—
570(C2×D79)⋊C4C2418yes—
571(C2×D79)⋊C4C2418yes—
572(C2×D79)⋊C4C2412yes—
573(C2×D79)⋊C4C2412yes—
574(C2×D79)⋊C4C2412yes—
575(C2×D79)⋊C4C2412yes—
576(C2×D79)⋊C4C2412yes—
577(C2×D79)⋊C4C2412yes—
578(C2×D79)⋊C4C2418yes—
579(C2×D79)⋊C4C2412yes—
580(C2×D79)⋊C4C2412yes—
581(C2×D79)⋊C4C2412yes—
582(C2×D79)⋊C4C2412yes—
583(C2×D79)⋊C4C2418yes—
584(C2×D79)⋊C4C2418yes—
585C4×Dic79C2412yes—
586C4×Dic79C2412yes—
587C4×Dic79C2412yes—
588C4×Dic79C2411yescharacteristic
589C4×Dic79C2412yes—
590C4×Dic79C2412yes—
591C4×Dic79C2411yescharacteristic
592C4×Dic79C2418yes—
593C4×Dic79C2418yes—
594C4×Dic79C2418yes—
595C4×Dic79C2412yes—
596C4×Dic79C2412yes—
597C4×Dic79C2412yes—
598C4×Dic79C2418yes—
599C4×Dic79C2418yes—
600C4×Dic79C2418yes—
601C4×Dic79C2418yes—
602C4×Dic79C2414yes—
603#41×C79—42no—
604C2×Q8×C79—44no—
605C2×Q8×C79C2414yes—
606C2×Q8×C79C2414yes—
607C2×Q8×C79C2414yes—
608C2×Q8×C79C2411yescharacteristic
609C2×D4×C79C2411yescharacteristic
610C2×D4×C79C2411yescharacteristic
611C2×D4×C79C2411yescharacteristic
612C22×C4×C79C2411yescharacteristic
613C22×C4×C79C2412yes—
614C22×C4×C79C2412yes—
615C22×C4×C79C2411yescharacteristic
616C22×C4×C79C2411yescharacteristic
617C22×C4×C79C2412yes—
618C22×C4×C79C2414yes—
619C4⋊C4×C79C2414yes—
620C4⋊C4×C79C2414yes—
621C4⋊C4×C79C2418yes—
622C4⋊C4×C79C2414yes—
623C4⋊C4×C79C2412yes—
624C4⋊C4×C79C2412yes—
625C4⋊C4×C79C2412yes—
626C4⋊C4×C79C2414yes—
627C4⋊C4×C79C2418yes—
628C4⋊C4×C79C2418yes—
629C4⋊C4×C79C2418yes—
630C4⋊C4×C79C2418yes—
631C4⋊C4×C79C2418yes—
632C22⋊C4×C79C2412yes—
633C22⋊C4×C79C2414yes—
634C22⋊C4×C79C2412yes—
635C22⋊C4×C79C2412yes—
636C22⋊C4×C79C2418yes—
637C22⋊C4×C79C2418yes—
638C42×C79C2411yescharacteristic
639C42×C79C2411yescharacteristic
640C42×C79C2411yescharacteristic
641C42×C79C2411yescharacteristic
642C42×C79C2412yes—
643C42×C79C2412yes—
644C42×C79C2412yes—
645C42×C79C2418yes—
646C42×C79C2418yes—
647C42×C79C2414yes—
648C23×C79C2511yescharacteristic
649C23×C79C2511yescharacteristic
650C23×C79C2511yescharacteristic
651C22×D79—24no—
652C22×D79—41no—
653C22×D79C2512yes—
654C22×D79C2512yes—
655Q8×C79—28no—
656Q8×C79—28no—
657Q8×C79—44no—
658Q8×C79—41no—
659D4×C79—41no—
660D4×C79—41no—
661D4×C79—41no—
662C2×C4×C79—24no—
663C2×C4×C79—24no—
664C2×C4×C79—24no—
665C2×C4×C79—22no—
666C2×C4×C79—22no—
667C2×C4×C79—22no—
668C2×C4×C79—44no—
669C2×C4×C79C2512yes—
670C2×C4×C79C2511yescharacteristic
671C2×C4×C79C2512yes—
672C2×C4×C79C2518yes—
673C2×C4×C79C2518yes—
674C2×C4×C79C2511yescharacteristic
675C2×C4×C79C2511yescharacteristic
676C2×C4×C79C2512yes—
677C2×C4×C79C2512yes—
678C2×C4×C79C2511yescharacteristic
679C22⋊D79—24no—
680C22⋊D79—24no—
681C22⋊D79—24no—
682C22⋊D79—24no—
683C22⋊D79—42no—
684C2×Dic79—24no—
685C2×Dic79—41no—
686C2×Dic79—44no—
687C2×Dic79C2518yes—
688C2×Dic79C2512yes—
689C2×Dic79C2512yes—
690C2×Dic79C2512yes—
691C2×Dic79C2512yes—
692C2×Dic79C2518yes—
693C2×Dic79C2512yes—
694C2×Dic79C2512yes—
695D316—24no—
696D316—24no—
697D316—41no—
698C4×D79—24no—
699C4×D79—216no—
700C4×D79—24no—
701C4×D79—24no—
702C4×D79—24no—
703C4×D79—24no—
704C4×D79—24no—
705C4×D79—24no—
706C4×D79—42no—
707C4×D79—48no—
708C4×D79—48no—
709C4×D792−1+418yes—
710Dic158—28no—
711Dic158—28no—
712Dic158—216no—
713Dic158—24no—
714Dic158—24no—
715Dic158—48no—
716Dic158—48no—
717Dic158—44no—
718Dic158—41no—
719C22×C79—22no—
720C22×C79—22no—
721C22×C79—22no—
722C22×C79—21no—
723C22×C79—21no—
724C22×C79—21no—
725C22×C79C2611yescharacteristic
726C2×D79—22no—
727C2×D79—22no—
728C2×D79—22no—
729C2×D79—22no—
730C2×D79—22no—
731C2×D79—44no—
732C2×D79C2×2−1+414yes—
733C4×C79—22no—
734C4×C79—22no—
735C4×C79—22no—
736C4×C79—28no—
737C4×C79—21no—
738C4×C79—21no—
739C4×C79—21no—
740C4×C79—28no—
741C4×C79C2×2−1+414yes—
742C4×C79#58512yes—
743Dic79—22no—
744Dic79—22no—
745Dic79—28no—
746Dic79—22no—
747Dic79—22no—
748Dic79—28no—
749Dic79—22no—
750Dic79C2×2−1+414yes—
751#62837—791nomaximal, Sylow
752C2×C79—41no—
753C2×C79—41no—
754C2×C79—41no—
755C2×C79C22×2−1+412yes—
756C2×C79C2×#58511yescharacteristic
757D79—24no—
758D79—42no—
759#3563—794no—
760#3563—794no—
761#3556—792no—
762#3555—794no—
763#3555—794no—
764#3550—792no—
765#3538—792no—
766#3538—792no—
767#3523—794no—
768#3523—794no—
769#3509—792no—
770#3509—792no—
771#3509—792no—
772#3509—791no—
773#3509D7911yescharacteristic, complemented
774#3507—794no—
775#3503—792no—
776#3503—792no—
777#3502—794no—
778#3495—794no—
779#3495—794no—
780#3444—791no—
781C2×#533—792no—
782C79#6283711yescharacteristic, complemented, Sylow
783#564—798no—
784#563—794no—
785#563—798no—
786#563—794no—
787#563—794no—
788#563—794no—
789#559—794no—
790Q82—794no—
791Q82—794no—
792Q82—794no—
793#557—794no—
794#557—798no—
795#557—794no—
796#557—794no—
797#557—798no—
798#557—794no—
799#557—794no—
800#557—794no—
801#557—794no—
802#557—794no—
803#557—798no—
804#557—794no—
805#557C2×D7914yescomplemented
806#556—798no—
807#556—794no—
808#556—794no—
809#556—794no—
810#556—794no—
811#556—794no—
812#556—794no—
813#556—798no—
814#556—794no—
815#556C2×D7914yes—
816#554—794no—
817#554—794no—
818#554—794no—
819#554—794no—
820#554—794no—
821#554—794no—
822#552—798no—
823#552—798no—
824#552—794no—
825#552—794no—
826#552—794no—
827#552—794no—
828#552—794no—
829#552—794no—
830#552—794no—
831#552—798no—
832#552—794no—
833#552—794no—
834#552—794no—
835#552—794no—
836#552—794no—
837#552—794no—
838#552—798no—
839#552—794no—
840#552C2×D7914yes—
841#552C2×D7914yescomplemented
842#551—798no—
843#551—794no—
844#551—794no—
845D4×Q8—794no—
846D4×Q8—794no—
847D4×Q8—794no—
848D4×Q8—794no—
849D4×Q8—794no—
850D4×Q8—794no—
851#544—794no—
852#544—798no—
853#544—794no—
854#544—794no—
855#544—798no—
856#544—794no—
857#544—794no—
858#544—794no—
859#542—798no—
860#542—798no—
861#541—798no—
862#541—798no—
863#541—798no—
864#541—798no—
865#541—794no—
866#541—794no—
867#541—794no—
868#541—794no—
869#541—794no—
870#541—794no—
871#541—798no—
872#541—792no—
873#541—792no—
874#541—798no—
875#541C2×D7912yes—
876#541C2×D7912yescomplemented
877#539—798no—
878#539—798no—
879#536—792no—
880#536—794no—
881#536—794no—
882#536—794no—
883#536C2×D7912yes—
884#533—792no—
885#533—792no—
886#533—792no—
887#533—792no—
888#533—792no—
889#533—794no—
890#533—798no—
891#533—794no—
892#533—794no—
893#533—794no—
894#533—794no—
895#533—792no—
896#533—798no—
897#533—794no—
898#533—791no—
899#533—792no—
900#533—792no—
901#533—791no—
902#533C2×D7912yes—
903#533C2×D7912yescomplemented
904#533C2×D7911yescharacteristic, complemented
905#532—791no—
906#532—792no—
907C2×C4⋊Q8—792no—
908C2×C4⋊Q8—792no—
909C2×C4⋊Q8—792no—
910C2×C4⋊Q8—791no—
911C2×C4⋊Q8C2×D7911yescharacteristic, complemented
912#529—798no—
913#529—792no—
914#529—792no—
915#529—792no—
916#529—792no—
917#529—792no—
918#529—792no—
919#529—798no—
920C2×#125—794no—
921#525—791no—
922#525—792no—
923#525—792no—
924#525—791no—
925C2×C22⋊Q8—794no—
926C2×C22⋊Q8—794no—
927#520—794no—
928#520—794no—
929#519—794no—
930#519—794no—
931#519—794no—
932#519—792no—
933#519C2×D7912yescomplemented
934C4×#41—792no—
935C4×#41—792no—
936C4×#41—791no—
937C4×#41C2×D7911yescharacteristic
938C2×C4×Q8—794no—
939C2×C4×Q8—794no—
940C2×#117—794no—
941C22×C42—791no—
942C2×#41—791no—
943C2×#41—792no—
944C2×#41—792no—
945C2×#41C22×D7911yescharacteristic
946C22×Q8—794no—
947C22×Q8—794no—
948C22×Q8—794no—
949C22×Q8—792no—
950C22×Q8C22×D7912yes—
951C23×C4—791no—
952C23×C4—792no—
953C4⋊Q8—794no—
954C4⋊Q8—794no—
955C4⋊Q8—794no—
956C4⋊Q8—791no—
957C4⋊Q8—798no—
958C4⋊Q8—794no—
959C4⋊Q8—798no—
960C4⋊Q8—794no—
961C4⋊Q8—794no—
962C4⋊Q8—794no—
963C4⋊Q8—794no—
964C4⋊Q8—794no—
965C4⋊Q8—794no—
966C4⋊Q8—792no—
967C4⋊Q8—798no—
968C4⋊Q8—798no—
969C4⋊Q8—798no—
970C4⋊Q8—798no—
971C4⋊Q8—798no—
972C4⋊Q8—798no—
973C4⋊Q8—792no—
974C4⋊Q8—792no—
975C4⋊Q8—792no—
976C4⋊Q8—794no—
977C4⋊Q8—798no—
978C4⋊Q8C22×D7912yes—
979C4⋊Q8C22×D7912yes—
980C4⋊Q8C22×D7912yes—
981C4⋊Q8C22×D7914yes—
982C4⋊Q8C22×D7914yes—
983#127—791no—
984#126—792no—
985#126—792no—
986#126—798no—
987#126—798no—
988#126—798no—
989#126—792no—
990#126—792no—
991#126—798no—
992#126—798no—
993#126—798no—
994#126—798no—
995#126—798no—
996#126—798no—
997#126—798no—
998#126—798no—
999#126—798no—
1000#126—798no—
1001#126—798no—
1002#126C22×D7918yes—
1003#126C22×D7918yes—
1004#125—798no—
1005#125—794no—
1006#125—794no—
1007#125—798no—
1008#125—792no—
1009#125—792no—
1010#125—792no—
1011#125—798no—
1012#125—798no—
1013#125—798no—
1014#125—798no—
1015#125—794no—
1016#125—794no—
1017#125—794no—
1018#125—798no—
1019#125—798no—
1020#125—798no—
1021#125—798no—
1022#125—798no—
1023#125—798no—
1024#125—798no—
1025#125—798no—
1026#125—798no—
1027#125—798no—
1028#125—798no—
1029#125—798no—
1030#125—794no—
1031#125—798no—
1032#125—792no—
1033#125—794no—
1034#125—798no—
1035#125—798no—
1036#125—798no—
1037#125C22×D7914yes—
1038#125C22×D7918yes—
1039#125C22×D7912yes—
1040#125C22×D7914yes—
1041#125C22×D7918yes—
1042#124—791no—
1043#124—791no—
1044#124—794no—
1045#124—792no—
1046#124—792no—
1047#124—798no—
1048#124—798no—
1049#124—798no—
1050#124C22×D7914yes—
1051#123—791no—
1052#123—791no—
1053#123—794no—
1054#123—794no—
1055#123—792no—
1056#123—792no—
1057#123—798no—
1058#123—798no—
1059#123—798no—
1060#123—792no—
1061#123—792no—
1062#123—792no—
1063#123—798no—
1064#123—798no—
1065#123—798no—
1066#123C22×D7914yes—
1067#123C22×D7914yes—
1068C22⋊Q8—794no—
1069C22⋊Q8—794no—
1070C22⋊Q8—792no—
1071C22⋊Q8—794no—
1072C22⋊Q8—794no—
1073C22⋊Q8—794no—
1074C22⋊Q8—798no—
1075C22⋊Q8—798no—
1076C22⋊Q8—794no—
1077C22⋊Q8—794no—
1078C22⋊Q8—794no—
1079C22⋊Q8—794no—
1080C22⋊Q8—794no—
1081C22⋊Q8—798no—
1082C22⋊Q8—798no—
1083C22⋊Q8—798no—
1084C22⋊Q8—798no—
1085C22⋊Q8—794no—
1086C22⋊Q8—794no—
1087C22⋊Q8—792no—
1088C22⋊Q8—792no—
1089C22⋊Q8—792no—
1090C22⋊Q8—794no—
1091C22⋊Q8—794no—
1092C22⋊Q8—794no—
1093C22⋊Q8—798no—
1094C22⋊Q8—798no—
1095C22⋊Q8—798no—
1096C22⋊Q8—798no—
1097C22⋊Q8—798no—
1098C22⋊Q8—798no—
1099C22⋊Q8—798no—
1100C22⋊Q8—798no—
1101C22⋊Q8—792no—
1102C22⋊Q8—792no—
1103C22⋊Q8—798no—
1104C22⋊Q8—798no—
1105C22⋊Q8C22×D7914yes—
1106C22⋊Q8C22×D7914yes—
1107C22⋊Q8C22×D7914yes—
1108C22⋊Q8C22×D7914yes—
1109C22⋊Q8C22×D7914yes—
1110#121—792no—
1111#121—792no—
1112#121—792no—
1113#121—792no—
1114#121—792no—
1115#121—792no—
1116#120—791no—
1117#120—791no—
1118#120—792no—
1119C4×Q8—794no—
1120C4×Q8—794no—
1121C4×Q8—794no—
1122C4×Q8—794no—
1123C4×Q8—794no—
1124C4×Q8—794no—
1125C4×Q8—794no—
1126C4×Q8—798no—
1127C4×Q8—798no—
1128C4×Q8—798no—
1129C4×Q8—794no—
1130C4×Q8—794no—
1131C4×Q8—798no—
1132C4×Q8—798no—
1133C4×Q8—794no—
1134C4×Q8—798no—
1135C4×Q8—798no—
1136C4×Q8—794no—
1137C4×Q8—798no—
1138C4×Q8—794no—
1139C4×Q8—798no—
1140C4×Q8—792no—
1141C4×Q8—792no—
1142C4×Q8—792no—
1143C4×Q8—792no—
1144C4×Q8—792no—
1145C4×Q8—798no—
1146C4×Q8—794no—
1147C4×Q8—794no—
1148C4×Q8—798no—
1149C4×Q8—794no—
1150C4×Q8—798no—
1151C4×Q8—798no—
1152C4×Q8C22×D7914yes—
1153C4×Q8C22×D7914yes—
1154C4×Q8C22×D7912yes—
1155C4×Q8C22×D7914yes—
1156C4×Q8C22×D7914yes—
1157C4×Q8C22×D7918yes—
1158C4×Q8C22×D7914yes—
1159C4×D4—792no—
1160C4×D4—792no—
1161C4×D4—792no—
1162C4×D4—792no—
1163C4×D4—792no—
1164C4×D4—792no—
1165C4×D4—792no—
1166C4×D4—792no—
1167C4×D4—792no—
1168C4×D4—792no—
1169C4×D4—798no—
1170C4×D4—798no—
1171C4×D4—798no—
1172C4×D4—798no—
1173C4×D4—798no—
1174C4×D4—792no—
1175C4×D4—792no—
1176C4×D4—792no—
1177C4×D4—792no—
1178C4×D4—792no—
1179C4×D4—798no—
1180C4×D4C22×D7912yes—
1181C4×D4C22×D7912yes—
1182C4×D4C22×D7912yes—
1183#117—794no—
1184#117—791no—
1185#117—792no—
1186#117—792no—
1187#117—792no—
1188#117—794no—
1189#117—794no—
1190#117—794no—
1191#117—798no—
1192#117—794no—
1193#117—798no—
1194#117—798no—
1195#117—794no—
1196#117—794no—
1197#117—798no—
1198#117—798no—
1199#117—798no—
1200#117—792no—
1201#117—792no—
1202#117—792no—
1203#117—792no—
1204#117—792no—
1205#117—798no—
1206#117—798no—
1207#117—798no—
1208#117C22×D7914yes—
1209#117C22×D7911yescharacteristic
1210#117C22×D7911yescharacteristic
1211#117C22×D7911yescharacteristic
1212#117C22×D7918yes—
1213#117C22×D7912yes—
1214#117C22×D7914yes—
1215C2×C4⋊C4—794no—
1216C2×C4⋊C4—794no—
1217C2×C4⋊C4—794no—
1218C2×C4⋊C4—794no—
1219C2×C4⋊C4—798no—
1220C2×C4⋊C4—798no—
1221C2×C4⋊C4—794no—
1222C2×C4⋊C4—794no—
1223C2×C4⋊C4—794no—
1224C2×C4⋊C4C22×D7914yes—
1225C2×C22⋊C4—798no—
1226C2×C42—792no—
1227C2×C42—791no—
1228C2×C42—798no—
1229C2×C42—792no—
1230C2×C42—792no—
1231C2×C42—792no—
1232C2×C42—792no—
1233C2×C42—792no—
1234C2×C42C22×D7911yescharacteristic
1235C2×C42C22×D7911yescharacteristic
1236C2×C42C22×D7911yescharacteristic
1237C24—791no—
1238#41—42no—
1239#41—3162no—
1240#41—1588no—
1241#41—1588no—
1242C2×Q8—44no—
1243C2×Q8—3164no—
1244C2×Q8—3168no—
1245C2×Q8—3168no—
1246C2×Q8—798no—
1247C2×Q8—798no—
1248C2×Q8—794no—
1249C2×Q8—791no—
1250C2×Q8—794no—
1251C2×Q8—798no—
1252C2×Q8—792no—
1253C2×Q8—792no—
1254C2×Q8—794no—
1255C2×Q8—15816no—
1256C2×Q8C23×D7914yes—
1257C2×Q8C23×D7914yes—
1258C2×Q8C23×D7914yes—
1259C2×Q8C23×D7911yescharacteristic
1260C2×D4—792no—
1261C2×D4—792no—
1262C2×D4—792no—
1263C2×D4—792no—
1264C2×D4—792no—
1265C2×D4—791no—
1266C2×D4—792no—
1267C2×D4—792no—
1268C2×D4C23×D7911yescharacteristic
1269C2×D4C23×D7911yescharacteristic
1270C2×D4C23×D7911yescharacteristic
1271C22×C4—3162no—
1272C22×C4—791no—
1273C22×C4—794no—
1274C22×C4—792no—
1275C22×C4—798no—
1276C22×C4—798no—
1277C22×C4—792no—
1278C22×C4—792no—
1279C22×C4—792no—
1280C22×C4—792no—
1281C22×C4—792no—
1282C22×C4—792no—
1283C22×C4—798no—
1284C22×C4—792no—
1285C22×C4—792no—
1286C22×C4—792no—
1287C22×C4—1588no—
1288C22×C4C23×D7912yes—
1289C22×C4C23×D7911yescharacteristic
1290C22×C4C23×D7912yes—
1291C22×C4C23×D7912yes—
1292C22×C4C23×D7911yescharacteristic
1293C22×C4C23×D7911yescharacteristic
1294C22×C4C23×D7914yes—
1295C4⋊C4—798no—
1296C4⋊C4—798no—
1297C4⋊C4—798no—
1298C4⋊C4—798no—
1299C4⋊C4—798no—
1300C4⋊C4—798no—
1301C4⋊C4—798no—
1302C4⋊C4—798no—
1303C4⋊C4—798no—
1304C4⋊C4—798no—
1305C4⋊C4—792no—
1306C4⋊C4—792no—
1307C4⋊C4—792no—
1308C4⋊C4—792no—
1309C4⋊C4—792no—
1310C4⋊C4—792no—
1311C4⋊C4—792no—
1312C4⋊C4—792no—
1313C4⋊C4—792no—
1314C4⋊C4—792no—
1315C4⋊C4—798no—
1316C4⋊C4—798no—
1317C4⋊C4—798no—
1318C4⋊C4—798no—
1319C4⋊C4—798no—
1320C4⋊C4—798no—
1321C4⋊C4—794no—
1322C4⋊C4—794no—
1323C4⋊C4—794no—
1324C4⋊C4—794no—
1325C4⋊C4—798no—
1326C4⋊C4—798no—
1327C4⋊C4—798no—
1328C4⋊C4—792no—
1329C4⋊C4—792no—
1330C4⋊C4—792no—
1331C4⋊C4—792no—
1332C4⋊C4—792no—
1333C4⋊C4—798no—
1334C4⋊C4—798no—
1335C4⋊C4—798no—
1336C4⋊C4C23×D7914yes—
1337C4⋊C4C23×D7914yes—
1338C4⋊C4C23×D7914yes—
1339C4⋊C4C23×D7914yes—
1340C4⋊C4C23×D7918yes—
1341C4⋊C4C23×D7918yes—
1342C4⋊C4C23×D7918yes—
1343C4⋊C4C23×D7918yes—
1344C4⋊C4C23×D7918yes—
1345C4⋊C4C23×D7912yes—
1346C4⋊C4C23×D7912yes—
1347C4⋊C4C23×D7912yes—
1348C4⋊C4C23×D7918yes—
1349C22⋊C4—798no—
1350C22⋊C4—794no—
1351C22⋊C4—791no—
1352C22⋊C4—791no—
1353C22⋊C4—792no—
1354C22⋊C4—792no—
1355C22⋊C4—792no—
1356C22⋊C4—792no—
1357C22⋊C4—798no—
1358C22⋊C4—798no—
1359C22⋊C4—798no—
1360C22⋊C4—792no—
1361C22⋊C4—792no—
1362C22⋊C4—792no—
1363C22⋊C4—792no—
1364C22⋊C4—792no—
1365C22⋊C4—792no—
1366C22⋊C4—798no—
1367C22⋊C4—792no—
1368C22⋊C4—792no—
1369C22⋊C4—792no—
1370C22⋊C4—792no—
1371C22⋊C4—798no—
1372C22⋊C4—798no—
1373C22⋊C4C23×D7918yes—
1374C22⋊C4C23×D7912yes—
1375C22⋊C4C23×D7912yes—
1376C22⋊C4C23×D7914yes—
1377C22⋊C4C23×D7918yes—
1378C22⋊C4C23×D7912yes—
1379C42—792no—
1380C42—792no—
1381C42—792no—
1382C42—792no—
1383C42—791no—
1384C42—792no—
1385C42—791no—
1386C42—798no—
1387C42—792no—
1388C42—792no—
1389C42—792no—
1390C42—798no—
1391C42—798no—
1392C42—798no—
1393C42—798no—
1394C42—798no—
1395C42—794no—
1396C42—798no—
1397C42C23×D7911yescharacteristic
1398C42C23×D7911yescharacteristic
1399C42C23×D7912yes—
1400C42C23×D7918yes—
1401C42C23×D7912yes—
1402C42C23×D7912yes—
1403C42C23×D7911yescharacteristic
1404C42C23×D7911yescharacteristic
1405C42C23×D7914yes—
1406C42C23×D7918yes—
1407C23—3161no—
1408C23—792no—
1409C23—792no—
1410C23—1584no—
1411C23C24×D7911yescharacteristic
1412C23C24×D7911yescharacteristic
1413C23C24×D7911yescharacteristic
1414Q8—28no—
1415Q8—28no—
1416Q8—44no—
1417Q8—41no—
1418Q8—3164no—
1419Q8—3168no—
1420Q8—3168no—
1421Q8—3161no—
1422Q8—15816no—
1423Q8—1584no—
1424Q8—1584no—
1425Q8—1588no—
1426Q8—1588no—
1427D4—41no—
1428D4—41no—
1429D4—41no—
1430D4—3161no—
1431D4—3162no—
1432D4—1584no—
1433D4—1584no—
1434D4—1584no—
1435D4—1584no—
1436D4—1584no—
1437D4—1584no—
1438C2×C4—24no—
1439C2×C4—24no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—44no—
1445C2×C4—3162no—
1446C2×C4—3168no—
1447C2×C4—3168no—
1448C2×C4—3161no—
1449C2×C4—3164no—
1450C2×C4—792no—
1451C2×C4—798no—
1452C2×C4—798no—
1453C2×C4—792no—
1454C2×C4—792no—
1455C2×C4—792no—
1456C2×C4—792no—
1457C2×C4—798no—
1458C2×C4—792no—
1459C2×C4—1584no—
1460C2×C4—1584no—
1461C2×C4—15816no—
1462C2×C4—1584no—
1463C2×C4—1584no—
1464C2×C4—1584no—
1465C2×C4—1584no—
1466C2×C4—1584no—
1467C2×C4—1584no—
1468C2×C4C24×D7912yes—
1469C2×C4C24×D7911yescharacteristic
1470C2×C4C24×D7912yes—
1471C2×C4C24×D7918yes—
1472C2×C4C24×D7918yes—
1473C2×C4C24×D7911yescharacteristic
1474C2×C4C24×D7911yescharacteristic
1475C2×C4C24×D7912yes—
1476C2×C4C24×D7912yes—
1477C2×C4C24×D7911yescharacteristic
1478C22—22no—
1479C22—22no—
1480C22—22no—
1481C22—21no—
1482C22—21no—
1483C22—21no—
1484C22—3164no—
1485C22—794no—
1486C22—1582no—
1487C22—1582no—
1488C22—1582no—
1489C22—1582no—
1490C22—1582no—
1491C22C25×D7911yescharacteristic
1492C4—22no—
1493C4—22no—
1494C4—22no—
1495C4—28no—
1496C4—21no—
1497C4—21no—
1498C4—21no—
1499C4—28no—
1500C4—794no—
1501C4—1582no—
1502C4—1582no—
1503C4—1582no—
1504C4—1588no—
1505C4—1588no—
1506C4—1582no—
1507C4—1582no—
1508C42−1+4×D7914yes—
1509C4#1909939912yes—
1510C2—41no—
1511C2—41no—
1512C2—41no—
1513C2—3162no—
1514C2—1584no—
1515C2C2×2−1+4×D7912yes—
1516C2C2×#1909939911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3509C2
prime radical#23776693C2
hypercenter#3509D79
hypocenterC79#62837
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3509

Complements

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

NH ≅ G/Ntype
1. #23778007C2semidirect
2. #23777996C2semidirect
3. #23777893C2semidirect
4. #23777883C2semidirect
5. #23777875C2semidirect
6. #23777809C2semidirect
7. #23777648C2semidirect
8. #23777643C2semidirect
9. #23777492C2semidirect
10. #23777490C2semidirect
11. #23777286C2semidirect
12. #23777279C2semidirect
13. #23777279C2semidirect
14. #23777279C2semidirect
15. #23777259C2semidirect
16. #23777216C2semidirect
17. #23777212C2semidirect
18. #23777207C2semidirect
19. #23777151C2semidirect
20. #23777145C2semidirect
22. #533×D79C2semidirect
23. C79×#3509C2semidirect
24. C79⋊#564C22semidirect
26. #19099316C22semidirect
29. #19099312C22semidirect
30. #19099297C22semidirect
31. Q8×Dic158C22semidirect
32. #19099293C22semidirect
33. #19099293C22semidirect
34. #19099291C22semidirect
35. #19099291C22semidirect
36. #19099291C22semidirect
37. #19099290C22semidirect
38. #19099290C22semidirect
39. #19099290C22semidirect
40. #19099290C22semidirect
41. #19099290C22semidirect
42. #19099289C22semidirect
43. #19099289C22semidirect
44. #19099289C22semidirect
45. #19099288C22semidirect
47. #19099284C22semidirect
48. #19099284C22semidirect
51. #19099281C22semidirect
52. #19099281C22semidirect
53. #19099281C22semidirect
54. #19099280C22semidirect
58. #19099271C22semidirect
60. #19099268C22semidirect
64. #19099254C22semidirect
66. #19099253C22semidirect
73. #19099251C22semidirect
85. Q8×C22⋊D79C22semidirect
87. #19099226C22semidirect
88. #19099194C22semidirect
91. #19099193C22semidirect
92. #19099191C22semidirect
95. #19099190C22semidirect
99. #19099175C22semidirect
100. #19099175C22semidirect
102. #19099173C22semidirect
103. #19099173C22semidirect
104. #19099172C22semidirect
105. #19099171C22semidirect
106. #19099171C22semidirect
107. #19099171C22semidirect
108. #19099171C22semidirect
111. #19099170C22semidirect
119. #19099120C22semidirect
120. #19099120C22semidirect
125. #19099118C22semidirect
126. #19099118C22semidirect
127. #19099118C22semidirect
138. C2×#14579161C22semidirect
141. C4⋊Q8×D79C22semidirect
159. #19099040C22semidirect
162. #19099039C22semidirect
170. #557×C79C22semidirect
173. #552×C79C22semidirect
175. #541×C79C22semidirect
178. #533×C79C22semidirect
179. #533×C79C22semidirect
180. C2×C4⋊Q8×C79C22semidirect
181. #519×C79C22semidirect
773. #3509D79semidirect
782. C79#62837semidirect
805. #557C2×D79semidirect
841. #552C2×D79semidirect
876. #541C2×D79semidirect
903. #533C2×D79semidirect
904. #533C2×D79semidirect
911. C2×C4⋊Q8C2×D79semidirect
933. #519C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780072
#237779962
#237778932
#237778832
#237778752
#237778092
#237776482
#237776432
#237774922
#237774902
#237772862
#237772792
#237772592
#237772162
#237772122
#237772072
#237771512
#237771452
#237766932
#533×D792
C79×#35092
#6283779