Finite Group Databasebeta

← #35196991

Subgroups — #35196991

Order 20224.

6530 conjugacy classes of subgroups.

The subgroup lattice has 1924 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778008C212yesmaximal, complemented
2#23777999C212yesmaximal, complemented
3#23777997C214yesmaximal, complemented
4#23777936C212yesmaximal, complemented
5#23777927C212yesmaximal, complemented
6#23777925C214yesmaximal, complemented
7#23777852C214yesmaximal, complemented
8#23777848C214yesmaximal, complemented
9#23777370C214yesmaximal, complemented
10#23777368C214yesmaximal, complemented
11#23777367C214yesmaximal, complemented
12#23777365C214yesmaximal, complemented
13#23777316C214yesmaximal, complemented
14#23777220C214yesmaximal, complemented
15#23777109C211yesmaximal, characteristic, complemented
16#23777106C212yesmaximal, complemented
17#23777101C212yesmaximal, complemented
18#23777101C212yesmaximal, complemented
19#23777101C212yesmaximal, complemented
20#23777101C212yesmaximal, complemented
21#23776692C212yesmaximal, complemented
22C22×#14579151C211yesmaximal, characteristic, complemented
23C79×#3492C211yesmaximal, characteristic, complemented
24C79⋊#564C2214yescomplemented
25C79⋊#564C2214yescomplemented
26#19099316C2214yescomplemented
27#19099315C2214yescomplemented
28#19099314C2214yescomplemented
29#19099312C2214yescomplemented
30#19099309C2214yescomplemented
31#19099308C2214yescomplemented
32#19099291C2214yescomplemented
33#19099290C2214yescomplemented
34#19099290C2214yescomplemented
35#19099288C2214yescomplemented
36#19099272C2214yes—
37#19099272C2214yes—
38#19099272C2214yes—
39#19099272C2214yes—
40#19099271C2214yes—
41#19099271C2214yescomplemented
42#19099270C2214yes—
43#19099268C2214yes—
44#19099268C2214yescomplemented
45#19099267C2214yes—
46#19099267C2214yes—
47#19099267C2214yes—
48#19099267C2214yes—
49#19099267C2214yescomplemented
50#19099267C2214yescomplemented
51#19099265C2214yes—
52#19099264C2214yescomplemented
53#19099262C2214yes—
54#19099262C2214yes—
55#19099262C2214yes—
56#19099262C2214yes—
57#19099262C2214yescomplemented
58#19099261C2214yes—
59#19099259C2214yes—
60#19099258C2214yescomplemented
61#19099256C2214yes—
62#19099256C2214yes—
63#19099256C2214yes—
64#19099256C2214yes—
65#19099256C2214yescomplemented
66#19099255C2214yes—
67#19099254C2214yescomplemented
68#19099253C2214yes—
69#19099253C2214yescomplemented
70#19099250C2214yes—
71#19099250C2214yes—
72#19099250C2214yes—
73#19099250C2214yes—
74#19099250C2214yescomplemented
75#19099250C2214yescomplemented
76#19099249C2214yescomplemented
77#19099249C2214yescomplemented
78#19099248C2214yes—
79#19099248C2214yescomplemented
80#19099247C2214yescomplemented
81#19099246C2214yes—
82#19099246C2214yes—
83#19099246C2214yes—
84#19099246C2214yes—
85#19099246C2214yescomplemented
86#19099246C2214yescomplemented
87#19099245C2214yescomplemented
88#19099245C2214yescomplemented
89#19099217C2214yes—
90#19099214C2214yes—
91#19099213C2214yes—
92#19099212C2214yes—
93#19099212C2214yes—
94#19099212C2214yes—
95#19099212C2214yes—
96#19099211C2214yes—
97#19099211C2214yes—
98#19099211C2214yes—
99#19099211C2214yes—
100#19099194C2211yescharacteristic
101#19099193C2214yescomplemented
102#19099192C2212yes—
103#19099192C2212yes—
104#19099192C2212yes—
105#19099192C2212yes—
106#19099192C2214yescomplemented
107#19099192C2214yescomplemented
108#19099191C2212yes—
109#19099190C2214yescomplemented
110#19099175C2214yescomplemented
111#19099174C2214yescomplemented
112#19099173C2214yescomplemented
113#19099172C2214yescomplemented
114#19099172C2214yescomplemented
115#19099172C2214yescomplemented
116#19099171C2214yescomplemented
117#19099170C2214yescomplemented
118#19099170C2214yescomplemented
119#19099170C2214yescomplemented
120#19099165C2214yescomplemented
121#19099163C2214yescomplemented
122#19099162C2212yes—
123#19099162C2212yes—
124#19099162C2212yes—
125#19099162C2212yes—
126#19099161C2214yescomplemented
127#19099160C2212yes—
128#19099160C2212yes—
129#19099160C2214yescomplemented
130#19099159C2214yescomplemented
131#19099159C2214yescomplemented
132#19099158C2212yes—
133#19099158C2212yes—
134#19099158C2212yes—
135#19099158C2212yes—
136#19099158C2214yescomplemented
137#19099157C2214yes—
138#19099157C2214yes—
139#19099157C2214yescomplemented
140#19099156C2214yescomplemented
141#19099155C2214yes—
142#19099155C2214yes—
143#19099155C2214yes—
144#19099155C2214yes—
145#19099155C2214yescomplemented
146#19099144C2211yescharacteristic
147#19099141C2212yes—
148#19099140C2212yes—
149#19099140C2212yes—
150#19099140C2212yes—
151#19099140C2212yes—
152#19099117C2214yescomplemented
153#19099116C2212yes—
154#19099115C2212yes—
155#19099115C2212yes—
156#19099115C2214yescomplemented
157#19099109C2212yes—
158#19099108C2212yes—
159#19099108C2212yes—
160#19099099C2212yes—
161#19099099C2212yes—
162#19099096C2214yescomplemented
163#19099094C2212yes—
164#19099094C2212yes—
165#19099093C2214yes—
166#19099093C2214yes—
167#19099093C2214yescomplemented
168#19099091C2214yescomplemented
169#19099090C2214yes—
170#19099090C2214yes—
171#19099090C2214yescomplemented
172C2×#14579151C2214yes—
173C2×#14579151C2214yes—
174C2×#14579151C2214yes—
175C2×#14579151C2212yes—
176C2×#14579151C2212yes—
177C2×#14579151C2214yes—
178C2×#14579151C2212yes—
179C2×#14579151C2212yes—
180C2×#14579151C2214yescomplemented
181#125×D79C2214yescomplemented
182#19099074C2212yes—
183#19099074C2212yes—
184#19099074C2212yes—
185#19099069C2214yes—
186#19099069C2214yes—
187#19099069C2214yes—
188#19099069C2214yes—
189#19099046C2212yes—
190#19099044C2212yes—
191#19099043C2212yes—
192#19099042C2214yes—
193#19099042C2214yes—
194#19099042C2214yes—
195#19099042C2214yes—
196#41×Dic79C2212yes—
197#19099031C2212yes—
198C4×#11929623C2214yes—
199C4×#11929623C2214yes—
200C22×C4⋊Dic79C2211yescharacteristic
201C22×Dic79⋊C4C2211yescharacteristic
202C22×Dic79⋊C4C2211yescharacteristic
203C22×Dic79⋊C4C2211yescharacteristic
204C22×Dic79⋊C4C2211yescharacteristic
205C22×C4×Dic79C2211yescharacteristic
206#554×C79C2214yes—
207#553×C79C2214yes—
208#552×C79C2214yes—
209#547×C79C2214yes—
210#544×C79C2211yescharacteristic
211#539×C79C2212yes—
212#539×C79C2212yes—
213#537×C79C2211yescharacteristic
214#525×C79C2212yes—
215#525×C79C2212yes—
216#525×C79C2212yes—
217#520×C79C2212yes—
218C22×C4⋊C4×C79C2211yescharacteristic
219C2×#11929624C2312yes—
220C2×#11929624C2312yes—
221C2×#11929624C2312yes—
222C2×#11929623C2314yes—
223C2×#11929623C2314yes—
224C2×#11929623C2314yes—
225C2×#11929623C2314yes—
226C23×Dic79C2311yescharacteristic
227C23×Dic79C2311yescharacteristic
228C23×Dic79C2311yescharacteristic
229C23×Dic79C2311yescharacteristic
230#14579161C2314yes—
231#14579160C2312yes—
232#14579160C2314yes—
233#14579160C2314yes—
234#14579160C2314yes—
235#14579160C2314yes—
236#14579160C2314yes—
237#14579160C2314yes—
238#14579160C2312yes—
239#14579159C2314yes—
240#14579159C2314yes—
241#14579159C2312yes—
242#14579159C2314yes—
243#14579159C2314yes—
244#14579157C2312yes—
245#14579156C2314yes—
246#14579156C2314yes—
247#14579156C2314yes—
248#14579156C2314yes—
249#14579156C2314yes—
250#14579156C2314yes—
251#14579156C2314yes—
252#14579156C2314yes—
253#14579156C2314yes—
254#14579156C2314yes—
255#14579155C2314yes—
256#14579155C2314yes—
257#14579155C2314yes—
258#14579155C2314yes—
259#14579154C2314yes—
260#14579154C2314yes—
261#14579154C2314yes—
262#14579154C2314yes—
263#14579154C2314yes—
264#14579154C2314yes—
265#14579154C2314yes—
266#14579154C2314yes—
267#14579154C2314yes—
268#14579154C2314yes—
269#14579154C2314yes—
270#14579154C2314yes—
271#14579153C2314yes—
272#14579153C2314yes—
273#14579153C2314yes—
274#14579153C2314yes—
275#14579153C2314yes—
276#14579152C2314yes—
277#14579152C2314yes—
278#14579152C2314yes—
279#14579152C2314yes—
280#14579152C2314yes—
281#14579152C2314yes—
282#14579152C2314yes—
283#14579152C2314yes—
284#14579152C2312yes—
285#14579152C2312yes—
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#14579151C2314yes—
302#14579151C2314yes—
303#14579151C2314yes—
304#14579151C2314yes—
305#14579151C2314yes—
306#14579151C2314yes—
307#14579151C2314yes—
308#14579151C2314yes—
309#14579151C2314yes—
310#14579151C2314yes—
311#14579151C2314yes—
312#14579151C2314yes—
313#14579151C2314yes—
314#14579151C2314yes—
315#14579151C2314yes—
316#14579151C2314yes—
317#14579151C2314yes—
318#14579151C2314yes—
319#14579151C2314yes—
320#14579151C2314yes—
321#14579151C2314yes—
322#14579151C2314yes—
323#14579151C2314yes—
324#14579150C2312yes—
325#14579148C2312yes—
326#14579147C2314yes—
327#14579147C2314yes—
328#14579146C2314yes—
329#14579146C2314yes—
330#14579146C2314yes—
331#14579146C2314yes—
332#14579146C2314yes—
333#14579146C2314yes—
334#14579145C2314yes—
335#14579145C2314yes—
336#14579145C2314yes—
337#14579145C2314yes—
338#14579145C2314yes—
339#14579145C2314yes—
340#14579144C2314yes—
341#14579144C2314yes—
342#14579144C2314yes—
343#14579144C2314yes—
344#14579144C2314yes—
345#14579144C2314yes—
346#14579144C2314yes—
347#14579143C2314yes—
348#14579143C2314yes—
349#14579143C2314yes—
350#14579143C2314yes—
351#14579143C2314yes—
352#14579143C2314yes—
353#14579142C2314yes—
354#14579142C2314yes—
355#14579142C2314yes—
356#14579142C2314yes—
357#14579142C2314yes—
358#14579142C2314yes—
359#14579142C2314yes—
360#14579142C2314yes—
361#14579141C2314yes—
362#14579141C2314yes—
363#14579141C2314yes—
364#14579140C2314yes—
365#14579140C2314yes—
366#14579140C2314yes—
367#14579140C2314yes—
368#14579140C2314yes—
369#14579140C2312yes—
370#14579140C2312yes—
371#14579140C2312yes—
372#14579140C2312yes—
373#14579140C2312yes—
374#14579140C2312yes—
375#14579139C2314yes—
376#14579139C2314yes—
377#14579139C2314yes—
378#14579139C2314yes—
379#14579139C2314yes—
380#14579139C2314yes—
381#14579139C2314yes—
382#14579139C2314yes—
383#14579139C2314yes—
384#14579139C2314yes—
385#14579138C2314yes—
386#14579138C2314yes—
387#14579138C2314yes—
388#14579138C2314yes—
389#14579138C2314yes—
390#14579138C2314yes—
391#14579138C2314yes—
392#14579138C2314yes—
393#14579138C2314yes—
394#14579138C2314yes—
395#14579138C2314yes—
396#14579138C2314yes—
397#14579138C2314yes—
398#14579138C2314yes—
399#14579138C2314yes—
400#14579138C2314yes—
401#14579138C2314yes—
402#14579138C2314yes—
403#14579137C2314yes—
404#14579137C2314yes—
405#14579137C2314yes—
406#14579137C2314yes—
407#14579137C2314yes—
408#14579136C2314yes—
409#14579135C2312yes—
410#14579135C2312yes—
411#14579135C2312yes—
412#14579135C2312yes—
413#14579135C2314yes—
414#14579135C2312yes—
415#14579135C2312yes—
416#14579134C2314yes—
417#14579134C2314yes—
418#14579134C2314yes—
419#14579134C2314yes—
420#14579133C2314yes—
421#14579133C2314yes—
422#14579133C2314yes—
423#14579133C2314yes—
424#14579133C2314yes—
425#14579133C2314yes—
426#14579133C2314yes—
427#14579133C2314yes—
428#14579133C2314yes—
429#14579133C2314yes—
430#14579133C2314yes—
431#14579133C2314yes—
432#14579132C2314yes—
433#14579130C2314yes—
434Q8×Dic79C2312yes—
435Q8×Dic79C2314yes—
436Q8×Dic79C2312yes—
437C4×Dic158C2314yes—
438C4×Dic158C2314yes—
439C4×Dic158C2314yes—
440C4×Dic158C2314yes—
441C4×Dic158C2314yes—
442C4×Dic158C2314yes—
443C4×Dic158C2314yes—
444#14579126C2312yes—
445#14579126C2314yes—
446#14579126C2314yes—
447#14579126C2314yes—
448#14579126C2314yes—
449#14579126C2314yes—
450#14579126C2314yes—
451#14579126C2312yes—
452#14579126C2314yes—
453C4×D316C2314yes—
454D4×Dic79C2314yes—
455D4×Dic79C2314yes—
456D4×Dic79C2312yes—
457D4×Dic79C2314yes—
458D4×Dic79C2314yes—
459D4×Dic79C2314yes—
460D4×Dic79C2314yes—
461D4×Dic79C2314yes—
462D4×Dic79C2314yes—
463D4×Dic79C2312yes—
464D4×Dic79C2314yes—
465#14579123C2312yes—
466#14579123C2314yes—
467#14579123C2312yes—
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—
479C4×C22⋊D79C2314yes—
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(C22⋊D79)⋊C4C2314yes—
494#14579120C2314yes—
495#14579120C2312yes—
496#14579120C2312yes—
497#14579120C2314yes—
498#14579120C2312yes—
499#14579119C2314yes—
500#14579119C2314yes—
501#14579119C2314yes—
502#14579119C2314yes—
503#14579118C2314yes—
504#14579118C2314yes—
505#14579118C2314yes—
506#14579118C2314yes—
507#14579118C2314yes—
508#14579117C2314yes—
509#14579117C2314yes—
510#14579117C2314yes—
511#14579117C2314yes—
512#14579117C2314yes—
513#14579117C2314yes—
514#14579117C2314yes—
515#14579117C2314yes—
516#14579117C2314yes—
517#14579117C2314yes—
518C2×C4⋊Dic79C2312yes—
519C2×C4⋊Dic79C2312yes—
520C2×C4⋊Dic79C2314yes—
521C2×C4⋊Dic79C2312yes—
522C2×C4⋊Dic79C2312yes—
523C2×C4⋊Dic79C2314yes—
524C2×Dic79⋊C4C2312yes—
525C2×Dic79⋊C4C2312yes—
526C2×Dic79⋊C4C2312yes—
527C2×Dic79⋊C4C2312yes—
528C2×Dic79⋊C4C2312yes—
529C2×Dic79⋊C4C2312yes—
530C2×Dic79⋊C4C2312yes—
531C2×Dic79⋊C4C2314yes—
532C2×Dic79⋊C4C2312yes—
533C2×Dic79⋊C4C2314yes—
534C2×Dic79⋊C4C2314yes—
535C2×Dic79⋊C4C2314yes—
536C2×Dic79⋊C4C2312yes—
537C2×Dic79⋊C4C2312yes—
538C2×Dic79⋊C4C2314yes—
539C2×Dic79⋊C4C2314yes—
540C2×Dic79⋊C4C2312yes—
541C2×Dic79⋊C4C2312yes—
542C2×Dic79⋊C4C2312yes—
543C2×Dic79⋊C4C2314yes—
544C2×Dic79⋊C4C2314yes—
545C2×Dic79⋊C4C2314yes—
546C2×Dic79⋊C4C2312yes—
547C4⋊C4×D79C2314yes—
548C4⋊C4×D79C2314yes—
549C4⋊C4×D79C2314yes—
550C4⋊C4×D79C2314yes—
551C4⋊C4×D79C2314yes—
552C4⋊C4×D79C2314yes—
553C2×C4×Dic79C2312yes—
554C2×C4×Dic79C2312yes—
555C2×C4×Dic79C2312yes—
556C2×C4×Dic79C2312yes—
557C2×C4×Dic79C2312yes—
558C2×C4×Dic79C2312yes—
559C2×C4×Dic79C2314yes—
560C42×D79C2314yes—
561C2×#41×C79C2312yes—
562C2×#41×C79C2312yes—
563C2×#41×C79C2312yes—
564C23×C4×C79C2311yescharacteristic
565C23×C4×C79C2311yescharacteristic
566C23×C4×C79C2311yescharacteristic
567C4⋊Q8×C79C2314yes—
568#126×C79C2314yes—
569#126×C79C2314yes—
570#125×C79C2314yes—
571#125×C79C2314yes—
572#125×C79C2314yes—
573#123×C79C2314yes—
574#123×C79C2314yes—
575#123×C79C2314yes—
576#123×C79C2314yes—
577#123×C79C2314yes—
578C22⋊Q8×C79C2314yes—
579C22⋊Q8×C79C2314yes—
580C22⋊Q8×C79C2312yes—
581C22⋊Q8×C79C2312yes—
582C22⋊Q8×C79C2312yes—
583C22⋊Q8×C79C2312yes—
584C22⋊Q8×C79C2314yes—
585C22⋊Q8×C79C2312yes—
586C22⋊Q8×C79C2312yes—
587#121×C79C2312yes—
588#121×C79C2312yes—
589#121×C79C2312yes—
590#121×C79C2312yes—
591#121×C79C2314yes—
592#121×C79C2312yes—
593#121×C79C2312yes—
594#120×C79C2314yes—
595C4×Q8×C79C2314yes—
596C4×D4×C79C2314yes—
597C4×D4×C79C2314yes—
598C4×D4×C79C2314yes—
599C4×D4×C79C2314yes—
600C4×D4×C79C2314yes—
601C4×D4×C79C2314yes—
602C4×D4×C79C2314yes—
603#117×C79C2314yes—
604#117×C79C2312yes—
605#117×C79C2312yes—
606#117×C79C2312yes—
607C2×C4⋊C4×C79C2311yescharacteristic
608C2×C4⋊C4×C79C2311yescharacteristic
609C2×C4⋊C4×C79C2311yescharacteristic
610C2×C4⋊C4×C79C2314yes—
611C2×C4⋊C4×C79C2314yes—
612C2×C4⋊C4×C79C2311yescharacteristic
613C2×C4⋊C4×C79C2314yes—
614#11929624—44no—
615#11929624—44no—
616#11929624—44no—
617#11929623—216no—
618#11929623—48no—
619#11929623—48no—
620#11929623—48no—
621C2×Dic158C2414yes—
622C2×Dic158C2414yes—
623C2×Dic158C2414yes—
624C2×Dic158C2414yes—
625C2×Dic158C2412yes—
626C2×Dic158C2412yes—
627C2×Dic158C2412yes—
628C2×D316C2412yes—
629C2×D316C2412yes—
630C2×D316C2412yes—
631C2×C22⋊D79C2414yes—
632C2×C22⋊D79C2414yes—
633C2×C22⋊D79C2414yes—
634C2×C22⋊D79C2414yes—
635C2×C22⋊D79C2414yes—
636C2×C22⋊D79C2414yes—
637C2×C22⋊D79C2414yes—
638C22×Dic79—24no—
639C22×Dic79—42no—
640C22×Dic79—42no—
641C22×Dic79—42no—
642C22×Dic79C2412yes—
643C22×Dic79C2412yes—
644C22×Dic79C2412yes—
645C22×Dic79C2414yes—
646C22×Dic79C2412yes—
647C22×Dic79C2412yes—
648C22×Dic79C2411yescharacteristic
649C22×Dic79C2414yes—
650C22×Dic79C2414yes—
651C22×Dic79C2414yes—
652C22×Dic79C2411yescharacteristic
653C22×Dic79C2412yes—
654C22×Dic79C2411yescharacteristic
655C22×Dic79C2412yes—
656C22×Dic79C2412yes—
657C22×Dic79C2412yes—
658C22×Dic79C2412yes—
659C22×Dic79C2411yescharacteristic
660C2×C4×D79C2414yes—
661C2×C4×D79C2414yes—
662C2×C4×D79C2414yes—
663C2×C4×D79C2414yes—
664C2×C4×D79C2414yes—
665C2×C4×D79C2414yes—
666C2×C4×D79C2414yes—
667C4⋊Dic79C2412yes—
668C4⋊Dic79C2414yes—
669C4⋊Dic79C2414yes—
670C4⋊Dic79C2414yes—
671C4⋊Dic79C2414yes—
672C4⋊Dic79C2414yes—
673C4⋊Dic79C2414yes—
674C4⋊Dic79C2414yes—
675C4⋊Dic79C2414yes—
676C4⋊Dic79C2412yes—
677C4⋊Dic79C2414yes—
678C4⋊Dic79C2412yes—
679C4⋊Dic79C2414yes—
680C4⋊Dic79C2414yes—
681C4⋊Dic79C2412yes—
682C4⋊Dic79C2412yes—
683C4⋊Dic79C2412yes—
684C4⋊Dic79C2414yes—
685Dic79⋊C4C2414yes—
686Dic79⋊C4C2414yes—
687Dic79⋊C4C2414yes—
688Dic79⋊C4C2414yes—
689Dic79⋊C4C2414yes—
690Dic79⋊C4C2414yes—
691Dic79⋊C4C2414yes—
692Dic79⋊C4C2414yes—
693Dic79⋊C4C2414yes—
694Dic79⋊C4C2414yes—
695Dic79⋊C4C2414yes—
696Dic79⋊C4C2414yes—
697Dic79⋊C4C2414yes—
698Dic79⋊C4C2414yes—
699Dic79⋊C4C2414yes—
700Dic79⋊C4C2414yes—
701Dic79⋊C4C2414yes—
702Dic79⋊C4C2414yes—
703Dic79⋊C4C2414yes—
704Dic79⋊C4C2414yes—
705Dic79⋊C4C2414yes—
706Dic79⋊C4C2414yes—
707Dic79⋊C4C2414yes—
708Dic79⋊C4C2414yes—
709Dic79⋊C4C2414yes—
710Dic79⋊C4C2414yes—
711Dic79⋊C4C2414yes—
712Dic79⋊C4C2414yes—
713Dic79⋊C4C2414yes—
714Dic79⋊C4C2414yes—
715Dic79⋊C4C2414yes—
716Dic79⋊C4C2414yes—
717Dic79⋊C4C2414yes—
718Dic79⋊C4C2414yes—
719Dic79⋊C4C2414yes—
720Dic79⋊C4C2414yes—
721Dic79⋊C4C2414yes—
722Dic79⋊C4C2414yes—
723C22⋊Dic79C2414yes—
724C22⋊Dic79C2414yes—
725C22⋊Dic79C2414yes—
726C22⋊Dic79C2414yes—
727C22⋊Dic79C2414yes—
728C22⋊Dic79C2414yes—
729C22⋊Dic79C2414yes—
730C22⋊Dic79C2414yes—
731C22⋊Dic79C2414yes—
732C22⋊Dic79C2414yes—
733C22⋊Dic79C2414yes—
734(C2×D79)⋊C4C2414yes—
735(C2×D79)⋊C4C2414yes—
736(C2×D79)⋊C4C2414yes—
737(C2×D79)⋊C4C2414yes—
738(C2×D79)⋊C4C2414yes—
739(C2×D79)⋊C4C2414yes—
740(C2×D79)⋊C4C2414yes—
741(C2×D79)⋊C4C2414yes—
742(C2×D79)⋊C4C2414yes—
743(C2×D79)⋊C4C2414yes—
744(C2×D79)⋊C4C2414yes—
745(C2×D79)⋊C4C2414yes—
746(C2×D79)⋊C4C2414yes—
747(C2×D79)⋊C4C2414yes—
748C4×Dic79C2412yes—
749C4×Dic79C2414yes—
750C4×Dic79C2414yes—
751C4×Dic79C2412yes—
752C4×Dic79C2412yes—
753C4×Dic79C2412yes—
754C4×Dic79C2412yes—
755C4×Dic79C2412yes—
756C4×Dic79C2412yes—
757C4×Dic79C2412yes—
758C4×Dic79C2414yes—
759C4×Dic79C2414yes—
760C4×Dic79C2414yes—
761C4×Dic79C2414yes—
762C4×Dic79C2414yes—
763C4×Dic79C2414yes—
764C4×Dic79C2414yes—
765C4×Dic79C2414yes—
766C4×Dic79C2414yes—
767C24×C79C2411yescharacteristic
768#41×C79—44no—
769#41×C79—44no—
770#41×C79—44no—
771C2×Q8×C79C2412yes—
772C2×Q8×C79C2412yes—
773C2×Q8×C79C2412yes—
774C2×D4×C79C2414yes—
775C2×D4×C79C2414yes—
776C2×D4×C79C2414yes—
777C2×D4×C79C2412yes—
778C2×D4×C79C2412yes—
779C2×D4×C79C2412yes—
780C22×C4×C79—42no—
781C22×C4×C79—42no—
782C22×C4×C79—42no—
783C22×C4×C79C2411yescharacteristic
784C22×C4×C79C2412yes—
785C22×C4×C79C2412yes—
786C22×C4×C79C2411yescharacteristic
787C22×C4×C79C2411yescharacteristic
788C22×C4×C79C2411yescharacteristic
789C22×C4×C79C2412yes—
790C22×C4×C79C2412yes—
791C22×C4×C79C2412yes—
792C22×C4×C79C2412yes—
793C22×C4×C79C2411yescharacteristic
794C22×C4×C79C2411yescharacteristic
795C22×C4×C79C2414yes—
796C22×C4×C79C2414yes—
797C22×C4×C79C2414yes—
798C4⋊C4×C79C2414yes—
799C4⋊C4×C79C2414yes—
800C4⋊C4×C79C2414yes—
801C4⋊C4×C79C2414yes—
802C4⋊C4×C79C2412yes—
803C4⋊C4×C79C2414yes—
804C4⋊C4×C79C2414yes—
805C4⋊C4×C79C2412yes—
806C4⋊C4×C79C2412yes—
807C4⋊C4×C79C2412yes—
808C4⋊C4×C79C2412yes—
809C4⋊C4×C79C2412yes—
810C4⋊C4×C79C2414yes—
811C4⋊C4×C79C2414yes—
812C4⋊C4×C79C2414yes—
813C4⋊C4×C79C2414yes—
814C22⋊C4×C79C2414yes—
815C22⋊C4×C79C2414yes—
816C22⋊C4×C79C2414yes—
817C22⋊C4×C79C2414yes—
818C22⋊C4×C79C2414yes—
819C22⋊C4×C79C2414yes—
820C22⋊C4×C79C2414yes—
821C22⋊C4×C79C2414yes—
822C22⋊C4×C79C2414yes—
823C42×C79C2414yes—
824C42×C79C2414yes—
825C42×C79C2414yes—
826C23×C79—22no—
827C23×C79—22no—
828C23×C79—22no—
829C23×C79C2514yes—
830C23×C79C2511yescharacteristic
831C23×C79C2511yescharacteristic
832C23×C79C2511yescharacteristic
833C22×D79C2514yes—
834Q8×C79—42no—
835Q8×C79—42no—
836Q8×C79—42no—
837D4×C79—28no—
838D4×C79—28no—
839D4×C79—28no—
840D4×C79—42no—
841D4×C79—42no—
842D4×C79—42no—
843C2×C4×C79—22no—
844C2×C4×C79—24no—
845C2×C4×C79—24no—
846C2×C4×C79—22no—
847C2×C4×C79—42no—
848C2×C4×C79—42no—
849C2×C4×C79—41no—
850C2×C4×C79—42no—
851C2×C4×C79—41no—
852C2×C4×C79—42no—
853C2×C4×C79—41no—
854C2×C4×C79—41no—
855C2×C4×C79—44no—
856C2×C4×C79—44no—
857C2×C4×C79—44no—
858C2×C4×C79C2512yes—
859C2×C4×C79C2512yes—
860C2×C4×C79C2514yes—
861C2×C4×C79C2514yes—
862C2×C4×C79C2512yes—
863C2×C4×C79C2514yes—
864C2×C4×C79C2512yes—
865C2×C4×C79C2512yes—
866C2×C4×C79C2512yes—
867C22⋊D79—28no—
868C22⋊D79—28no—
869C22⋊D79—28no—
870C22⋊D79—28no—
871C22⋊D79—44no—
872C22⋊D79—44no—
873C22⋊D79—44no—
874C2×Dic79—22no—
875C2×Dic79—24no—
876C2×Dic79—24no—
877C2×Dic79—24no—
878C2×Dic79—24no—
879C2×Dic79—24no—
880C2×Dic79—28no—
881C2×Dic79—41no—
882C2×Dic79—42no—
883C2×Dic79—42no—
884C2×Dic79—42no—
885C2×Dic79—42no—
886C2×Dic79—42no—
887C2×Dic79—41no—
888C2×Dic79—44no—
889C2×Dic79—44no—
890C2×Dic79—44no—
891C2×Dic792−1+414yes—
892C2×Dic79C2512yes—
893C2×Dic79C2514yes—
894C2×Dic79C2512yes—
895C2×Dic79C2514yes—
896C2×Dic79C2512yes—
897C2×Dic79C2514yes—
898C2×Dic79C2514yes—
899C2×Dic79C2514yes—
900C2×Dic79C2512yes—
901D316—42no—
902D316—42no—
903D316—42no—
904C4×D79—28no—
905C4×D79—44no—
906C4×D79—44no—
907C4×D79—44no—
908C4×D79—44no—
909C4×D79—44no—
910C4×D79—44no—
911Dic158—28no—
912Dic158—44no—
913Dic158—44no—
914Dic158—44no—
915Dic158—42no—
916Dic158—42no—
917Dic158—42no—
918C22×C79—28no—
919C22×C79—21no—
920C22×C79—21no—
921C22×C79—21no—
922C22×C79—21no—
923C22×C79—21no—
924C22×C79—21no—
925C22×C79—24no—
926C22×C79—24no—
927C22×C79—24no—
928C22×C79C2×2−1+412yes—
929C22×C79#58512yes—
930C22×C79#58512yes—
931C22×C79C2611yescharacteristic
932C2×D79—24no—
933C2×D79—24no—
934C2×D79—24no—
935C4×C79—24no—
936C4×C79—22no—
937C4×C79—22no—
938C4×C79—22no—
939C4×C79—22no—
940C4×C79—22no—
941C4×C79—22no—
942C4×C79—24no—
943C4×C79—24no—
944Dic79—24no—
945Dic79—22no—
946Dic79—24no—
947Dic79—24no—
948Dic79—22no—
949Dic79—24no—
950Dic79—24no—
951Dic79—22no—
952Dic79C2×2−1+414yes—
953#62825—791nomaximal, Sylow
954C2×C79—22no—
955C2×C79—22no—
956C2×C79—22no—
957C2×C79—44no—
958C2×C79C22×2−1+411yescharacteristic
959C2×C79C2×#58511yescharacteristic
960C2×C79C2×#58511yescharacteristic
961D79—44no—
962#3563—794no—
963#3563—792no—
964#3563—792no—
965#3559—794no—
966#3559—792no—
967#3559—792no—
968#3553—794no—
969#3553—794no—
970#3515—794no—
971#3515—794no—
972#3515—794no—
973#3515—794no—
974#3512—794no—
975#3504—794no—
976#3492—792no—
977#3492—792no—
978#3492—792no—
979#3492—792no—
980#3492—792no—
981#3492—791no—
982#3492D7911yescharacteristic, complemented
983#3444—792no—
984C22×#125—791no—
985C79#6282511yescharacteristic, complemented, Sylow
986#564—794no—
987#564—794no—
988#563—794no—
989#563—794no—
990#563—794no—
991#563—794no—
992#562—794no—
993#562—794no—
994#557—794no—
995#557—794no—
996#557—794no—
997#557—794no—
998#554—794no—
999#554—794no—
1000#554—794no—
1001#554—794no—
1002#554—794no—
1003#554—794no—
1004#554—794no—
1005#554—794no—
1006#554—794no—
1007#554—794no—
1008#554—794no—
1009#554—794no—
1010#554—794no—
1011#554—794no—
1012#554—794no—
1013#554C2×D7914yes—
1014#553—794no—
1015#553—794no—
1016#553—794no—
1017#553—794no—
1018#553—794no—
1019#553—794no—
1020#553—794no—
1021#553—794no—
1022#553—794no—
1023#553—794no—
1024#553—794no—
1025#553—794no—
1026#553—794no—
1027#553—794no—
1028#553—794no—
1029#553C2×D7914yes—
1030#552—794no—
1031#552—794no—
1032#552—794no—
1033#552—794no—
1034#552—794no—
1035#552—794no—
1036#552—794no—
1037#552—794no—
1038#552—794no—
1039#552—794no—
1040#552—794no—
1041#552—794no—
1042#552—794no—
1043#552—794no—
1044#552—794no—
1045#552—794no—
1046#552—794no—
1047#552—794no—
1048#552—794no—
1049#552—794no—
1050#552—794no—
1051#552—794no—
1052#552—794no—
1053#552C2×D7914yes—
1054#547—794no—
1055#547—794no—
1056#547—794no—
1057#547—794no—
1058#547—794no—
1059#547—794no—
1060#547—794no—
1061#547—794no—
1062#547—794no—
1063#547—794no—
1064#547—794no—
1065#547C2×D7914yes—
1066#544—794no—
1067#544—794no—
1068#544—792no—
1069#544—792no—
1070#544—792no—
1071#544—792no—
1072#544—794no—
1073#544—794no—
1074#544—792no—
1075#544—791no—
1076#544C2×D7911yescharacteristic
1077#541—794no—
1078#541—794no—
1079#541—794no—
1080#541—794no—
1081#541—794no—
1082#541—794no—
1083#541—794no—
1084#541—794no—
1085#541—794no—
1086#541—794no—
1087#540—794no—
1088#540—794no—
1089#539—794no—
1090#539—794no—
1091#539—794no—
1092#539—794no—
1093#539—794no—
1094#539—794no—
1095#539—794no—
1096#539—792no—
1097#539—792no—
1098#539—792no—
1099#539—792no—
1100#539—792no—
1101#539—792no—
1102#539—792no—
1103#539—792no—
1104#539—794no—
1105#539—794no—
1106#539—794no—
1107#539—794no—
1108#539—794no—
1109#539—794no—
1110#539—792no—
1111#539—792no—
1112#539—794no—
1113#539C2×D7912yes—
1114#539C2×D7912yes—
1115#537—792no—
1116#537—792no—
1117#537—792no—
1118#537—792no—
1119#537—792no—
1120#537—791no—
1121#537C2×D7911yescharacteristic
1122#533—792no—
1123#533—792no—
1124#533—794no—
1125#533—794no—
1126#533—792no—
1127#532—792no—
1128#532—792no—
1129#532—792no—
1130#529—794no—
1131#529—794no—
1132#529—794no—
1133#529—794no—
1134#529—792no—
1135#529—792no—
1136#529—792no—
1137#529—792no—
1138#529—794no—
1139#529—794no—
1140#529—794no—
1141#529—794no—
1142C2×#125—794no—
1143C2×#125—794no—
1144C2×#125—794no—
1145C2×#125—792no—
1146C2×#125—792no—
1147C2×#125—794no—
1148C2×#125—794no—
1149C2×#125—792no—
1150C2×#125—792no—
1151C2×#125—794no—
1152#525—792no—
1153#525—792no—
1154#525—792no—
1155#525—794no—
1156#525—794no—
1157#525—794no—
1158#525—794no—
1159#525C2×D7912yes—
1160#525C2×D7912yes—
1161#525C2×D7912yes—
1162#520—792no—
1163#520—794no—
1164#520—794no—
1165#520—794no—
1166#520—794no—
1167#520—792no—
1168#520—792no—
1169#520C2×D7912yes—
1170C4×#41—792no—
1171C4×#41—794no—
1172C4×#41—794no—
1173C4×#41—792no—
1174C22×C4⋊C4—791no—
1175C22×C4⋊C4—791no—
1176C22×C4⋊C4—791no—
1177C22×C4⋊C4—791no—
1178C22×C4⋊C4—791no—
1179C22×C4⋊C4C2×D7911yescharacteristic
1180C22×C42—791no—
1181C2×#41—794no—
1182C2×#41—794no—
1183C2×#41—794no—
1184C2×#41—794no—
1185C2×#41—792no—
1186C2×#41—792no—
1187C2×#41—792no—
1188C2×#41C22×D7912yes—
1189C2×#41C22×D7912yes—
1190C2×#41C22×D7912yes—
1191C23×C4—791no—
1192C23×C4—791no—
1193C23×C4—791no—
1194C23×C4—791no—
1195C23×C4C22×D7911yescharacteristic
1196C23×C4C22×D7911yescharacteristic
1197C23×C4C22×D7911yescharacteristic
1198C4⋊Q8—792no—
1199C4⋊Q8—794no—
1200C4⋊Q8—794no—
1201C4⋊Q8—794no—
1202C4⋊Q8—794no—
1203C4⋊Q8—792no—
1204C4⋊Q8—792no—
1205C4⋊Q8—794no—
1206C4⋊Q8—794no—
1207C4⋊Q8—794no—
1208C4⋊Q8—794no—
1209C4⋊Q8—794no—
1210C4⋊Q8—794no—
1211C4⋊Q8—794no—
1212C4⋊Q8C22×D7914yes—
1213#127—792no—
1214#126—794no—
1215#126—794no—
1216#126—794no—
1217#126—794no—
1218#126—794no—
1219#126—794no—
1220#126—794no—
1221#126—794no—
1222#126—794no—
1223#126—794no—
1224#126—794no—
1225#126—794no—
1226#126—794no—
1227#126—794no—
1228#126—794no—
1229#126—794no—
1230#126—794no—
1231#126—794no—
1232#126—794no—
1233#126—794no—
1234#126—794no—
1235#126—794no—
1236#126—794no—
1237#126—794no—
1238#126—794no—
1239#126—794no—
1240#126C22×D7914yes—
1241#126C22×D7914yes—
1242#125—794no—
1243#125—794no—
1244#125—794no—
1245#125—794no—
1246#125—794no—
1247#125—794no—
1248#125—794no—
1249#125—794no—
1250#125—794no—
1251#125—794no—
1252#125—794no—
1253#125—794no—
1254#125—794no—
1255#125—794no—
1256#125—794no—
1257#125—794no—
1258#125—794no—
1259#125—794no—
1260#125—794no—
1261#125—794no—
1262#125—794no—
1263#125—794no—
1264#125—794no—
1265#125—794no—
1266#125—794no—
1267#125—794no—
1268#125—794no—
1269#125—794no—
1270#125—792no—
1271#125—792no—
1272#125—794no—
1273#125—794no—
1274#125—794no—
1275#125—794no—
1276#125—794no—
1277#125—794no—
1278#125—794no—
1279#125—794no—
1280#125—794no—
1281#125—794no—
1282#125—794no—
1283#125—794no—
1284#125—794no—
1285#125—794no—
1286#125—794no—
1287#125—794no—
1288#125—794no—
1289#125—794no—
1290#125—794no—
1291#125—794no—
1292#125—794no—
1293#125—794no—
1294#125—794no—
1295#125C22×D7914yes—
1296#125C22×D7914yes—
1297#125C22×D7914yes—
1298#124—792no—
1299#124—792no—
1300#124—794no—
1301#124—794no—
1302#123—794no—
1303#123—794no—
1304#123—794no—
1305#123—794no—
1306#123—794no—
1307#123—794no—
1308#123—794no—
1309#123—794no—
1310#123—794no—
1311#123—794no—
1312#123—794no—
1313#123—794no—
1314#123—794no—
1315#123—794no—
1316#123—794no—
1317#123—794no—
1318#123—794no—
1319#123—794no—
1320#123—794no—
1321#123—794no—
1322#123—794no—
1323#123—794no—
1324#123—794no—
1325#123—794no—
1326#123—794no—
1327#123—794no—
1328#123—794no—
1329#123—794no—
1330#123—794no—
1331#123—794no—
1332#123—794no—
1333#123—794no—
1334#123—794no—
1335#123C22×D7914yes—
1336#123C22×D7914yes—
1337#123C22×D7914yes—
1338#123C22×D7914yes—
1339#123C22×D7914yes—
1340C22⋊Q8—794no—
1341C22⋊Q8—794no—
1342C22⋊Q8—794no—
1343C22⋊Q8—794no—
1344C22⋊Q8—794no—
1345C22⋊Q8—792no—
1346C22⋊Q8—792no—
1347C22⋊Q8—792no—
1348C22⋊Q8—792no—
1349C22⋊Q8—792no—
1350C22⋊Q8—792no—
1351C22⋊Q8—794no—
1352C22⋊Q8—794no—
1353C22⋊Q8—794no—
1354C22⋊Q8—794no—
1355C22⋊Q8—794no—
1356C22⋊Q8—794no—
1357C22⋊Q8—794no—
1358C22⋊Q8—794no—
1359C22⋊Q8—794no—
1360C22⋊Q8—794no—
1361C22⋊Q8—794no—
1362C22⋊Q8—794no—
1363C22⋊Q8—794no—
1364C22⋊Q8—794no—
1365C22⋊Q8—794no—
1366C22⋊Q8—794no—
1367C22⋊Q8—794no—
1368C22⋊Q8—794no—
1369C22⋊Q8—794no—
1370C22⋊Q8—794no—
1371C22⋊Q8—794no—
1372C22⋊Q8—794no—
1373C22⋊Q8—794no—
1374C22⋊Q8—794no—
1375C22⋊Q8—794no—
1376C22⋊Q8—794no—
1377C22⋊Q8—794no—
1378C22⋊Q8—794no—
1379C22⋊Q8—794no—
1380C22⋊Q8—794no—
1381C22⋊Q8—794no—
1382C22⋊Q8—794no—
1383C22⋊Q8—794no—
1384C22⋊Q8—794no—
1385C22⋊Q8—794no—
1386C22⋊Q8—794no—
1387C22⋊Q8C22×D7912yes—
1388C22⋊Q8C22×D7912yes—
1389C22⋊Q8C22×D7912yes—
1390C22⋊Q8C22×D7912yes—
1391C22⋊Q8C22×D7912yes—
1392C22⋊Q8C22×D7912yes—
1393C22⋊Q8C22×D7914yes—
1394C22⋊Q8C22×D7914yes—
1395C22⋊Q8C22×D7914yes—
1396#121—794no—
1397#121—794no—
1398#121—794no—
1399#121—794no—
1400#121—794no—
1401#121—794no—
1402#121—794no—
1403#121—794no—
1404#121—794no—
1405#121—794no—
1406#121—794no—
1407#121—794no—
1408#121—794no—
1409#121—792no—
1410#121—792no—
1411#121—792no—
1412#121—792no—
1413#121—792no—
1414#121—792no—
1415#121—794no—
1416#121—794no—
1417#121—794no—
1418#121—794no—
1419#121—794no—
1420#121—794no—
1421#121C22×D7912yes—
1422#121C22×D7912yes—
1423#121C22×D7912yes—
1424#121C22×D7912yes—
1425#121C22×D7912yes—
1426#121C22×D7912yes—
1427#121C22×D7914yes—
1428#120—794no—
1429#120C22×D7914yes—
1430C4×Q8—792no—
1431C4×Q8—792no—
1432C4×Q8—794no—
1433C4×Q8—792no—
1434C4×Q8—794no—
1435C4×Q8—792no—
1436C4×Q8—794no—
1437C4×Q8—794no—
1438C4×Q8—794no—
1439C4×Q8—794no—
1440C4×Q8—794no—
1441C4×Q8—794no—
1442C4×Q8—794no—
1443C4×Q8—794no—
1444C4×Q8—794no—
1445C4×Q8—794no—
1446C4×Q8—794no—
1447C4×Q8—794no—
1448C4×Q8—794no—
1449C4×Q8C22×D7914yes—
1450C4×D4—794no—
1451C4×D4—794no—
1452C4×D4—794no—
1453C4×D4—794no—
1454C4×D4—792no—
1455C4×D4—792no—
1456C4×D4—794no—
1457C4×D4—794no—
1458C4×D4—794no—
1459C4×D4—794no—
1460C4×D4—794no—
1461C4×D4—794no—
1462C4×D4—794no—
1463C4×D4—794no—
1464C4×D4—794no—
1465C4×D4—794no—
1466C4×D4—794no—
1467C4×D4—794no—
1468C4×D4—794no—
1469C4×D4—794no—
1470C4×D4—794no—
1471C4×D4—794no—
1472C4×D4—794no—
1473C4×D4—792no—
1474C4×D4—792no—
1475C4×D4—794no—
1476C4×D4—794no—
1477C4×D4—794no—
1478C4×D4—794no—
1479C4×D4—794no—
1480C4×D4—794no—
1481C4×D4—794no—
1482C4×D4—794no—
1483C4×D4—794no—
1484C4×D4—794no—
1485C4×D4—794no—
1486C4×D4—794no—
1487C4×D4—794no—
1488C4×D4—794no—
1489C4×D4—794no—
1490C4×D4—794no—
1491C4×D4C22×D7914yes—
1492C4×D4C22×D7914yes—
1493C4×D4C22×D7914yes—
1494C4×D4C22×D7914yes—
1495C4×D4C22×D7914yes—
1496C4×D4C22×D7914yes—
1497C4×D4C22×D7914yes—
1498#117—792no—
1499#117—794no—
1500#117—792no—
1501#117—792no—
1502#117—794no—
1503#117—794no—
1504#117—794no—
1505#117—794no—
1506#117—794no—
1507#117—794no—
1508#117—794no—
1509#117—794no—
1510#117—794no—
1511#117—794no—
1512#117—794no—
1513#117—794no—
1514#117—794no—
1515#117—794no—
1516#117—794no—
1517#117—794no—
1518#117—794no—
1519#117—794no—
1520#117—794no—
1521#117—794no—
1522#117C22×D7912yes—
1523#117C22×D7912yes—
1524#117C22×D7912yes—
1525#117C22×D7914yes—
1526C2×C4⋊C4—792no—
1527C2×C4⋊C4—792no—
1528C2×C4⋊C4—792no—
1529C2×C4⋊C4—792no—
1530C2×C4⋊C4—792no—
1531C2×C4⋊C4—792no—
1532C2×C4⋊C4—792no—
1533C2×C4⋊C4—792no—
1534C2×C4⋊C4—792no—
1535C2×C4⋊C4—792no—
1536C2×C4⋊C4—792no—
1537C2×C4⋊C4—794no—
1538C2×C4⋊C4—792no—
1539C2×C4⋊C4—792no—
1540C2×C4⋊C4—792no—
1541C2×C4⋊C4—794no—
1542C2×C4⋊C4—792no—
1543C2×C4⋊C4—792no—
1544C2×C4⋊C4—792no—
1545C2×C4⋊C4—794no—
1546C2×C4⋊C4—792no—
1547C2×C4⋊C4—794no—
1548C2×C4⋊C4—794no—
1549C2×C4⋊C4—794no—
1550C2×C4⋊C4—794no—
1551C2×C4⋊C4—794no—
1552C2×C4⋊C4—794no—
1553C2×C4⋊C4—794no—
1554C2×C4⋊C4—794no—
1555C2×C4⋊C4—794no—
1556C2×C4⋊C4—794no—
1557C2×C4⋊C4—794no—
1558C2×C4⋊C4—794no—
1559C2×C4⋊C4—794no—
1560C2×C4⋊C4—794no—
1561C2×C4⋊C4C22×D7911yescharacteristic
1562C2×C4⋊C4C22×D7911yescharacteristic
1563C2×C4⋊C4C22×D7911yescharacteristic
1564C2×C4⋊C4C22×D7911yescharacteristic
1565C2×C4⋊C4C22×D7914yes—
1566C2×C4⋊C4C22×D7914yes—
1567C2×C4⋊C4C22×D7914yes—
1568C2×C42—794no—
1569C2×C42—792no—
1570C2×C42—792no—
1571C2×C42—792no—
1572C2×C42—792no—
1573C2×C42—792no—
1574C2×C42—792no—
1575C2×C42—794no—
1576C24C23×D7911yescharacteristic
1577#41—44no—
1578#41—44no—
1579#41—44no—
1580#41—3164no—
1581#41—3164no—
1582#41—3164no—
1583#41—3168no—
1584#41—3168no—
1585#41—3168no—
1586#41—15816no—
1587C2×Q8—792no—
1588C2×Q8—792no—
1589C2×Q8—794no—
1590C2×Q8—794no—
1591C2×Q8—792no—
1592C2×Q8—794no—
1593C2×Q8—794no—
1594C2×Q8C23×D7912yes—
1595C2×Q8C23×D7912yes—
1596C2×Q8C23×D7912yes—
1597C2×D4—794no—
1598C2×D4—794no—
1599C2×D4—794no—
1600C2×D4—794no—
1601C2×D4—794no—
1602C2×D4—794no—
1603C2×D4—794no—
1604C2×D4—792no—
1605C2×D4—792no—
1606C2×D4—792no—
1607C2×D4C23×D7914yes—
1608C2×D4C23×D7914yes—
1609C2×D4C23×D7914yes—
1610C2×D4C23×D7912yes—
1611C2×D4C23×D7912yes—
1612C2×D4C23×D7912yes—
1613C22×C4—42no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4—3162no—
1617C22×C4—3162no—
1618C22×C4—3162no—
1619C22×C4—791no—
1620C22×C4—792no—
1621C22×C4—791no—
1622C22×C4—794no—
1623C22×C4—792no—
1624C22×C4—792no—
1625C22×C4—792no—
1626C22×C4—792no—
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—791no—
1636C22×C4—792no—
1637C22×C4—792no—
1638C22×C4—792no—
1639C22×C4—791no—
1640C22×C4—794no—
1641C22×C4—792no—
1642C22×C4—792no—
1643C22×C4—794no—
1644C22×C4—1584no—
1645C22×C4C23×D7912yes—
1646C22×C4C23×D7911yescharacteristic
1647C22×C4C23×D7912yes—
1648C22×C4C23×D7911yescharacteristic
1649C22×C4C23×D7911yescharacteristic
1650C22×C4C23×D7912yes—
1651C22×C4C23×D7911yescharacteristic
1652C22×C4C23×D7914yes—
1653C22×C4C23×D7911yescharacteristic
1654C22×C4C23×D7912yes—
1655C22×C4C23×D7912yes—
1656C22×C4C23×D7912yes—
1657C22×C4C23×D7911yescharacteristic
1658C22×C4C23×D7914yes—
1659C22×C4C23×D7914yes—
1660C4⋊C4—794no—
1661C4⋊C4—794no—
1662C4⋊C4—794no—
1663C4⋊C4—794no—
1664C4⋊C4—794no—
1665C4⋊C4—794no—
1666C4⋊C4—794no—
1667C4⋊C4—794no—
1668C4⋊C4—794no—
1669C4⋊C4—794no—
1670C4⋊C4—794no—
1671C4⋊C4—794no—
1672C4⋊C4—794no—
1673C4⋊C4—794no—
1674C4⋊C4—794no—
1675C4⋊C4—794no—
1676C4⋊C4—794no—
1677C4⋊C4—794no—
1678C4⋊C4—794no—
1679C4⋊C4—794no—
1680C4⋊C4—794no—
1681C4⋊C4—794no—
1682C4⋊C4—794no—
1683C4⋊C4—794no—
1684C4⋊C4—794no—
1685C4⋊C4—794no—
1686C4⋊C4—794no—
1687C4⋊C4—794no—
1688C4⋊C4—794no—
1689C4⋊C4—794no—
1690C4⋊C4—794no—
1691C4⋊C4—794no—
1692C4⋊C4—794no—
1693C4⋊C4—794no—
1694C4⋊C4—794no—
1695C4⋊C4—794no—
1696C4⋊C4—794no—
1697C4⋊C4—794no—
1698C4⋊C4—794no—
1699C4⋊C4—794no—
1700C4⋊C4—794no—
1701C4⋊C4—794no—
1702C4⋊C4—794no—
1703C4⋊C4—792no—
1704C4⋊C4—792no—
1705C4⋊C4—794no—
1706C4⋊C4—794no—
1707C4⋊C4—794no—
1708C4⋊C4—794no—
1709C4⋊C4—792no—
1710C4⋊C4—792no—
1711C4⋊C4—792no—
1712C4⋊C4—792no—
1713C4⋊C4—794no—
1714C4⋊C4—794no—
1715C4⋊C4—794no—
1716C4⋊C4C23×D7912yes—
1717C4⋊C4C23×D7914yes—
1718C4⋊C4C23×D7914yes—
1719C4⋊C4C23×D7914yes—
1720C4⋊C4C23×D7914yes—
1721C4⋊C4C23×D7914yes—
1722C4⋊C4C23×D7914yes—
1723C4⋊C4C23×D7914yes—
1724C4⋊C4C23×D7914yes—
1725C4⋊C4C23×D7912yes—
1726C4⋊C4C23×D7914yes—
1727C4⋊C4C23×D7912yes—
1728C4⋊C4C23×D7914yes—
1729C4⋊C4C23×D7912yes—
1730C4⋊C4C23×D7912yes—
1731C4⋊C4C23×D7912yes—
1732C22⋊C4—794no—
1733C22⋊C4—794no—
1734C22⋊C4—794no—
1735C22⋊C4—794no—
1736C22⋊C4—794no—
1737C22⋊C4—794no—
1738C22⋊C4—794no—
1739C22⋊C4—794no—
1740C22⋊C4—794no—
1741C22⋊C4—794no—
1742C22⋊C4—794no—
1743C22⋊C4—794no—
1744C22⋊C4—794no—
1745C22⋊C4—794no—
1746C22⋊C4—794no—
1747C22⋊C4—794no—
1748C22⋊C4—794no—
1749C22⋊C4—794no—
1750C22⋊C4—794no—
1751C22⋊C4—794no—
1752C22⋊C4—794no—
1753C22⋊C4—794no—
1754C22⋊C4—794no—
1755C22⋊C4—794no—
1756C22⋊C4—794no—
1757C22⋊C4C23×D7914yes—
1758C22⋊C4C23×D7914yes—
1759C22⋊C4C23×D7914yes—
1760C22⋊C4C23×D7914yes—
1761C22⋊C4C23×D7914yes—
1762C22⋊C4C23×D7914yes—
1763C22⋊C4C23×D7914yes—
1764C22⋊C4C23×D7914yes—
1765C22⋊C4C23×D7914yes—
1766C42—792no—
1767C42—792no—
1768C42—792no—
1769C42—792no—
1770C42—792no—
1771C42—792no—
1772C42—792no—
1773C42—792no—
1774C42—794no—
1775C42—794no—
1776C42—794no—
1777C42—794no—
1778C42—794no—
1779C42—794no—
1780C42—794no—
1781C42—794no—
1782C42—794no—
1783C42—794no—
1784C42—794no—
1785C42C23×D7914yes—
1786C42C23×D7914yes—
1787C42C23×D7914yes—
1788C23—22no—
1789C23—22no—
1790C23—22no—
1791C23—794no—
1792C23C24×D7914yes—
1793C23C24×D7911yescharacteristic
1794C23C24×D7911yescharacteristic
1795C23C24×D7911yescharacteristic
1796Q8—42no—
1797Q8—42no—
1798Q8—42no—
1799Q8—3162no—
1800Q8—3162no—
1801Q8—3164no—
1802Q8—3162no—
1803Q8—3164no—
1804Q8—3164no—
1805Q8—1588no—
1806D4—28no—
1807D4—28no—
1808D4—28no—
1809D4—42no—
1810D4—42no—
1811D4—42no—
1812D4—3162no—
1813D4—3162no—
1814D4—3162no—
1815D4—3164no—
1816D4—3164no—
1817D4—3164no—
1818D4—1588no—
1819D4—1588no—
1820D4—1588no—
1821D4—1588no—
1822C2×C4—24no—
1823C2×C4—24no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—41no—
1827C2×C4—42no—
1828C2×C4—41no—
1829C2×C4—42no—
1830C2×C4—41no—
1831C2×C4—41no—
1832C2×C4—42no—
1833C2×C4—42no—
1834C2×C4—44no—
1835C2×C4—44no—
1836C2×C4—44no—
1837C2×C4—3164no—
1838C2×C4—3164no—
1839C2×C4—3164no—
1840C2×C4—3164no—
1841C2×C4—3164no—
1842C2×C4—3164no—
1843C2×C4—3162no—
1844C2×C4—3162no—
1845C2×C4—3161no—
1846C2×C4—3162no—
1847C2×C4—3162no—
1848C2×C4—3162no—
1849C2×C4—3161no—
1850C2×C4—3164no—
1851C2×C4—3164no—
1852C2×C4—3164no—
1853C2×C4—794no—
1854C2×C4—792no—
1855C2×C4—792no—
1856C2×C4—794no—
1857C2×C4—792no—
1858C2×C4—794no—
1859C2×C4—794no—
1860C2×C4—792no—
1861C2×C4—794no—
1862C2×C4—794no—
1863C2×C4—1588no—
1864C2×C4—1584no—
1865C2×C4—1584no—
1866C2×C4—1588no—
1867C2×C4—1582no—
1868C2×C4—1584no—
1869C2×C4—1584no—
1870C2×C4—1584no—
1871C2×C4C24×D7912yes—
1872C2×C4C24×D7912yes—
1873C2×C4C24×D7914yes—
1874C2×C4C24×D7914yes—
1875C2×C4C24×D7914yes—
1876C2×C4C24×D7912yes—
1877C2×C4C24×D7912yes—
1878C2×C4C24×D7912yes—
1879C2×C4C24×D7912yes—
1880C22—28no—
1881C22—21no—
1882C22—21no—
1883C22—21no—
1884C22—21no—
1885C22—21no—
1886C22—21no—
1887C22—24no—
1888C22—24no—
1889C22—24no—
1890C22—1584no—
1891C22—1584no—
1892C22—1584no—
1893C222−1+4×D7912yes—
1894C22#1909939812yes—
1895C22#1909939912yes—
1896C22C25×D7911yescharacteristic
1897C4—24no—
1898C4—22no—
1899C4—22no—
1900C4—22no—
1901C4—22no—
1902C4—24no—
1903C4—22no—
1904C4—22no—
1905C4—24no—
1906C4—794no—
1907C4—1582no—
1908C4—1584no—
1909C4—1584no—
1910C4—1584no—
1911C4—1582no—
1912C4—1584no—
1913C4—1584no—
1914C4—1582no—
1915C2—22no—
1916C2—22no—
1917C2—22no—
1918C2—44no—
1919C2—3164no—
1920C2C2×2−1+4×D7911yescharacteristic
1921C2C2×#1909939811yescharacteristic
1922C2C2×#1909939911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3492C2
hypercenter#3492D79
hypocenterC79#62825
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3492

Complements

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

NH ≅ G/Ntype
1. #23778008C2semidirect
2. #23777999C2semidirect
3. #23777997C2semidirect
4. #23777936C2semidirect
5. #23777927C2semidirect
6. #23777925C2semidirect
7. #23777852C2semidirect
8. #23777848C2semidirect
9. #23777370C2semidirect
10. #23777368C2semidirect
11. #23777367C2semidirect
12. #23777365C2semidirect
13. #23777316C2semidirect
14. #23777220C2semidirect
15. #23777109C2semidirect
16. #23777106C2semidirect
17. #23777101C2semidirect
18. #23777101C2semidirect
19. #23777101C2semidirect
20. #23777101C2semidirect
21. #23776692C2semidirect
22. C22×#14579151C2semidirect
23. C79×#3492C2semidirect
24. C79⋊#564C22semidirect
25. C79⋊#564C22semidirect
26. #19099316C22semidirect
27. #19099315C22semidirect
28. #19099314C22semidirect
29. #19099312C22semidirect
30. #19099309C22semidirect
31. #19099308C22semidirect
32. #19099291C22semidirect
33. #19099290C22semidirect
34. #19099290C22semidirect
35. #19099288C22semidirect
41. #19099271C22semidirect
44. #19099268C22semidirect
49. #19099267C22semidirect
50. #19099267C22semidirect
52. #19099264C22semidirect
57. #19099262C22semidirect
60. #19099258C22semidirect
65. #19099256C22semidirect
67. #19099254C22semidirect
69. #19099253C22semidirect
74. #19099250C22semidirect
75. #19099250C22semidirect
76. #19099249C22semidirect
77. #19099249C22semidirect
79. #19099248C22semidirect
80. #19099247C22semidirect
85. #19099246C22semidirect
86. #19099246C22semidirect
87. #19099245C22semidirect
88. #19099245C22semidirect
101. #19099193C22semidirect
106. #19099192C22semidirect
107. #19099192C22semidirect
109. #19099190C22semidirect
110. #19099175C22semidirect
111. #19099174C22semidirect
112. #19099173C22semidirect
113. #19099172C22semidirect
114. #19099172C22semidirect
115. #19099172C22semidirect
116. #19099171C22semidirect
117. #19099170C22semidirect
118. #19099170C22semidirect
119. #19099170C22semidirect
120. #19099165C22semidirect
121. #19099163C22semidirect
126. #19099161C22semidirect
129. #19099160C22semidirect
130. #19099159C22semidirect
131. #19099159C22semidirect
136. #19099158C22semidirect
139. #19099157C22semidirect
140. #19099156C22semidirect
145. #19099155C22semidirect
152. #19099117C22semidirect
156. #19099115C22semidirect
162. #19099096C22semidirect
167. #19099093C22semidirect
168. #19099091C22semidirect
171. #19099090C22semidirect
180. C2×#14579151C22semidirect
181. #125×D79C22semidirect
982. #3492D79semidirect
985. C79#62825semidirect

Maximal subgroups

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

subgroupindex
#237780082
#237779992
#237779972
#237779362
#237779272
#237779252
#237778522
#237778482
#237773702
#237773682
#237773672
#237773652
#237773162
#237772202
#237771092
#237771062
#237771012
#237766922
C22×#145791512
C79×#34922
#6282579