Finite Group Databasebeta

← #35197224

Subgroups — #35197224

Order 20224.

6428 conjugacy classes of subgroups.

The subgroup lattice has 1688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778008C214yesmaximal, complemented
2#23778007C214yesmaximal, complemented
3#23777892C212yesmaximal, complemented
4#23777891C212yesmaximal, complemented
5#23777887C214yesmaximal, complemented
6#23777876C212yesmaximal, complemented
7#23777812C212yesmaximal, complemented
8#23777647C214yesmaximal, complemented
9#23777495C214yesmaximal, complemented
10#23777494C214yesmaximal, complemented
11#23777285C212yesmaximal, complemented
12#23777280C212yesmaximal, complemented
13#23777278C214yesmaximal, complemented
14#23777262C211yesmaximal, characteristic, complemented
15#23777257C212yesmaximal, complemented
16#23777214C212yesmaximal, complemented
17#23777213C212yesmaximal, complemented
18#23777210C211yesmaximal, characteristic, complemented
19#23777205C211yesmaximal, characteristic, complemented
20#23777204C212yesmaximal, complemented
21#23777153C212yesmaximal, complemented
22#23777149C212yesmaximal, complemented
23#23777140C214yesmaximal, complemented
24#23776695C211yesmaximal, characteristic
25C2×#19099117C211yesmaximal, characteristic, complemented
26#533×D79C211yesmaximal, characteristic, complemented
27C79×#3507C211yesmaximal, characteristic, complemented
28C79⋊#564C2218yescomplemented
29#19099316C2218yescomplemented
30#19099315C2218yes—
31#19099314C2218yes—
32#19099299C2212yescomplemented
33Q8×Dic158C2212yescomplemented
34Q8×Dic158C2212yescomplemented
35Q8×Dic158C2212yescomplemented
36Q8×Dic158C2214yescomplemented
37#19099293C2212yescomplemented
38#19099292C2212yescomplemented
39#19099292C2214yescomplemented
40#19099292C2212yescomplemented
41#19099291C2214yescomplemented
42#19099291C2214yescomplemented
43#19099291C2212yescomplemented
44#19099290C2214yescomplemented
45#19099290C2214yescomplemented
46#19099290C2218yescomplemented
47#19099290C2214yescomplemented
48#19099289C2214yescomplemented
49#19099289C2214yescomplemented
50#19099289C2214yescomplemented
51#19099288C2212yescomplemented
52#19099288C2214yescomplemented
53#19099288C2214yescomplemented
54#19099288C2212yescomplemented
55#19099284C2214yes—
56#19099283C2212yescomplemented
57#19099283C2214yescomplemented
58#19099282C2214yescomplemented
59#19099282C2214yescomplemented
60#19099282C2214yescomplemented
61#19099282C2214yescomplemented
62#19099282C2214yescomplemented
63#19099281C2214yes—
64#19099280C2218yes—
65#19099272C2218yes—
66#19099272C2214yescomplemented
67#19099271C2214yes—
68#19099270C2212yescomplemented
69#19099268C2214yes—
70#19099255C2214yes—
71#19099253C2218yes—
72#19099253C2214yescomplemented
73#19099252C2214yes—
74#19099252C2218yes—
75#19099250C2218yes—
76#19099250C2218yes—
77#19099250C2218yes—
78#19099250C2218yescomplemented
79#19099249C2218yes—
80#19099249C2218yes—
81#19099248C2214yes—
82#19099247C2214yes—
83#19099246C2218yes—
84#19099242C2218yes—
85#19099236C2218yes—
86D4×Dic158C2218yes—
87D4×Dic158C2214yescomplemented
88D4×Dic158C2214yescomplemented
89#19099226C2218yes—
90#19099194C2214yes—
91#19099194C2212yes—
92#19099194C2214yescomplemented
93#19099193C2218yes—
94#19099193C2214yes—
95#19099192C2214yes—
96#19099192C2218yescomplemented
97#19099191C2212yes—
98#19099191C2214yescomplemented
99#19099182C2214yes—
100#19099182C2214yes—
101#19099178C2214yes—
102#19099178C2214yes—
103#19099176C2214yes—
104#19099175C2218yescomplemented
105#19099174C2214yes—
106#19099173C2214yescomplemented
107#19099173C2214yescomplemented
108#19099173C2218yescomplemented
109#19099172C2218yes—
110#19099171C2214yes—
111#19099171C2214yes—
112#19099170C2218yescomplemented
113#19099170C2218yescomplemented
114#19099170C2218yescomplemented
115#19099170C2218yescomplemented
116#19099158C2214yes—
117#19099156C2218yes—
118#19099135C2218yes—
119#19099134C2212yes—
120#19099133C2214yes—
121#19099120C2214yes—
122#19099120C2211yescharacteristic
123#19099120C2211yescharacteristic
124#19099119C2212yes—
125#19099118C2211yescharacteristic
126#19099118C2211yescharacteristic
127#19099118C2211yescharacteristic
128#19099118C2214yes—
129#19099118C2211yescharacteristic
130#19099117C2212yes—
131#19099117C2212yes—
132#19099117C2212yes—
133#19099117C2212yes—
134#19099117C2212yes—
135#19099117C2212yes—
136#19099117C2214yes—
137#19099117C2212yes—
138#19099117C2212yes—
139#19099117C2212yes—
140#19099117C2212yes—
141#19099116C2212yes—
142#19099116C2214yescomplemented
143#19099115C2214yes—
144#19099115C2212yes—
145#19099115C2212yes—
146#19099115C2214yescomplemented
147#19099115C2214yescomplemented
148#19099111C2211yescharacteristic
149#19099111C2211yescharacteristic
150C2×#14579160C2211yescharacteristic
151C2×#14579160C2214yescomplemented
152C2×#14579159C2211yescharacteristic
153C4⋊Q8×D79C2211yescharacteristic
154C4⋊Q8×D79C2211yescharacteristic
155#19099095C2212yes—
156#19099095C2214yes—
157#19099095C2212yes—
158#19099094C2214yes—
159#19099094C2212yes—
160#19099094C2212yes—
161#19099092C2212yes—
162#19099092C2214yes—
163#19099092C2212yes—
164C2×#14579151C2212yes—
165#125×D79C2212yes—
166#19099073C2212yes—
167#19099073C2212yes—
168#19099070C2212yes—
169C2×#14579141C2211yescharacteristic
170C2×#14579139C2212yes—
171C2×#14579137C2211yescharacteristic
172C22⋊Q8×D79C2212yes—
173C22⋊Q8×D79C2212yes—
174#19099046C2212yes—
175#19099042C2214yes—
176#19099041C2212yes—
177#19099040C2212yes—
178#19099040C2218yescomplemented
179#19099039C2214yes—
180#41×Dic79C2212yes—
181C4×#11929623C2212yes—
182C4×#11929623C2212yes—
183C2×C4×Dic158C2211yescharacteristic
184C2×C4×Dic158C2212yes—
185C4×Q8×D79C2212yes—
186C4×Q8×D79C2212yes—
187C2×#14579118C2212yes—
188#117×D79C2212yes—
189C2×C42×D79C2211yescharacteristic
190#559×C79C2212yescomplemented
191#557×C79C2212yescomplemented
192#556×C79C2212yescomplemented
193#556×C79C2214yescomplemented
194#554×C79C2212yescomplemented
195#552×C79C2214yescomplemented
196#539×C79C2214yes—
197#536×C79C2212yes—
198#533×C79C2211yescharacteristic
199#532×C79C2211yescharacteristic
200#529×C79C2214yes—
201#520×C79C2212yes—
202C2×C4×Q8×C79C2211yescharacteristic
203C2×#11929623C2312yes—
204C2×#11929623C2312yes—
205C22×Dic158C2311yescharacteristic
206C22×Dic158C2318yes—
207C22×Dic158C2312yes—
208C2×Q8×D79C2312yes—
209C2×Q8×D79C2312yes—
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213#14579161C2318yes—
214#14579161C2314yes—
215#14579161C2314yes—
216#14579161C2314yes—
217#14579161C2311yescharacteristic
218#14579161C2311yescharacteristic
219#14579161C2311yescharacteristic
220#14579161C2311yescharacteristic
221#14579160C2312yes—
222#14579160C2318yes—
223#14579160C2318yes—
224#14579160C2318yes—
225#14579160C2314yes—
226#14579160C2314yes—
227#14579160C2314yes—
228#14579160C2312yes—
229#14579160C2314yes—
230#14579160C2318yes—
231#14579160C2318yes—
232#14579160C2318yes—
233#14579160C2312yes—
234#14579160C2312yes—
235#14579160C2312yes—
236#14579160C2312yes—
237#14579160C2312yes—
238#14579160C2312yes—
239#14579159C2314yes—
240#14579159C2314yes—
241#14579159C2312yes—
242#14579159C2318yes—
243#14579159C2312yes—
244#14579159C2312yes—
245#14579159C2312yes—
246#14579159C2312yes—
247#14579159C2312yes—
248#14579156C2318yes—
249#14579156C2318yes—
250#14579156C2318yes—
251#14579155C2318yes—
252#14579154C2318yes—
253#14579154C2318yes—
254#14579154C2318yes—
255#14579154C2314yes—
256#14579154C2314yes—
257#14579154C2318yes—
258#14579154C2318yes—
259#14579154C2318yes—
260#14579154C2318yes—
261#14579154C2318yes—
262#14579154C2318yes—
263#14579154C2318yes—
264#14579153C2318yes—
265#14579153C2318yes—
266#14579153C2318yes—
267#14579153C2314yes—
268#14579153C2312yes—
269#14579153C2312yes—
270#14579152C2318yes—
271#14579152C2318yes—
272#14579152C2318yes—
273#14579152C2318yes—
274#14579152C2314yes—
275#14579152C2314yes—
276#14579152C2318yes—
277#14579152C2312yes—
278#14579152C2312yes—
279#14579152C2318yes—
280#14579152C2314yes—
281#14579152C2314yes—
282#14579152C2312yes—
283#14579152C2312yes—
284#14579151C2318yes—
285#14579151C2318yes—
286#14579151C2314yes—
287#14579151C2318yes—
288#14579151C2314yes—
289#14579151C2318yes—
290#14579151C2314yes—
291#14579151C2318yes—
292#14579151C2318yes—
293#14579151C2318yes—
294#14579151C2318yes—
295#14579151C2318yes—
296#14579151C2318yes—
297#14579151C2318yes—
298#14579151C2318yes—
299#14579151C2314yes—
300#14579151C2314yes—
301#14579151C2314yes—
302#14579148C2314yes—
303#14579148C2314yes—
304#14579148C2312yes—
305#14579148C2312yes—
306#14579147C2318yes—
307#14579147C2318yes—
308#14579145C2318yes—
309#14579144C2318yes—
310#14579143C2318yes—
311#14579143C2318yes—
312#14579143C2314yes—
313#14579143C2314yes—
314#14579142C2318yes—
315#14579142C2318yes—
316#14579142C2314yes—
317#14579141C2312yes—
318#14579141C2312yes—
319#14579141C2312yes—
320#14579141C2312yes—
321#14579141C2318yes—
322#14579141C2312yes—
323#14579141C2312yes—
324#14579141C2312yes—
325#14579141C2312yes—
326#14579140C2318yes—
327#14579140C2312yes—
328#14579140C2318yes—
329#14579140C2314yes—
330#14579140C2314yes—
331#14579140C2318yes—
332#14579140C2312yes—
333#14579140C2318yes—
334#14579140C2312yes—
335#14579140C2312yes—
336#14579139C2314yes—
337#14579139C2314yes—
338#14579139C2314yes—
339#14579139C2318yes—
340#14579139C2314yes—
341#14579139C2314yes—
342#14579139C2314yes—
343#14579138C2318yes—
344#14579138C2318yes—
345#14579138C2318yes—
346#14579138C2318yes—
347#14579138C2318yes—
348#14579138C2318yes—
349#14579138C2318yes—
350#14579138C2318yes—
351#14579138C2318yes—
352#14579138C2314yes—
353#14579138C2314yes—
354#14579137C2312yes—
355#14579137C2312yes—
356#14579137C2312yes—
357#14579137C2312yes—
358#14579137C2312yes—
359#14579137C2312yes—
360#14579137C2312yes—
361#14579137C2312yes—
362#14579132C2312yes—
363#14579132C2312yes—
364#14579132C2312yes—
365#14579132C2312yes—
366#14579129C2314yes—
367Q8×Dic79C2312yes—
368Q8×Dic79C2314yes—
369Q8×Dic79C2314yes—
370Q8×Dic79C2314yes—
371Q8×Dic79C2314yes—
372Q8×Dic79C2314yes—
373Q8×Dic79C2314yes—
374Q8×Dic79C2312yes—
375Q8×Dic79C2312yes—
376Q8×Dic79C2312yes—
377C4×Dic158C2314yes—
378C4×Dic158C2314yes—
379C4×Dic158C2318yes—
380C4×Dic158C2318yes—
381C4×Dic158C2314yes—
382C4×Dic158C2314yes—
383C4×Dic158C2318yes—
384C4×Dic158C2318yes—
385C4×Dic158C2314yes—
386C4×Dic158C2314yes—
387C4×Dic158C2314yes—
388C4×Dic158C2314yes—
389C4×Dic158C2312yes—
390C4×Dic158C2312yes—
391C4×Dic158C2314yes—
392C4×Dic158C2312yes—
393C4×Dic158C2312yes—
394C4×Dic158C2312yes—
395C4×Dic158C2314yes—
396C4×Dic158C2312yes—
397C4×Dic158C2312yes—
398C4×Dic158C2312yes—
399#14579126C2312yes—
400#14579126C2314yes—
401#14579126C2318yes—
402#14579126C2318yes—
403#14579126C2318yes—
404#14579126C2314yes—
405#14579126C2318yes—
406#14579126C2314yes—
407#14579126C2314yes—
408#14579126C2314yes—
409#14579126C2314yes—
410#14579126C2312yes—
411#14579126C2312yes—
412#14579126C2312yes—
413D4×Dic79C2318yes—
414D4×Dic79C2314yes—
415D4×Dic79C2314yes—
416D4×Dic79C2314yes—
417D4×Dic79C2312yes—
418D4×Dic79C2312yes—
419D4×Dic79C2314yes—
420D4×Dic79C2312yes—
421D4×Dic79C2312yes—
422C4×C22⋊D79C2318yes—
423C4×C22⋊D79C2314yes—
424C4×C22⋊D79C2314yes—
425(C22⋊D79)⋊C4C2318yes—
426(C22⋊D79)⋊C4C2314yes—
427(C22⋊D79)⋊C4C2314yes—
428#14579120C2314yes—
429#14579120C2318yes—
430#14579120C2312yes—
431#14579120C2318yes—
432#14579120C2312yes—
433#14579120C2314yes—
434#14579119C2312yes—
435#14579119C2312yes—
436#14579119C2318yes—
437#14579119C2312yes—
438#14579119C2312yes—
439#14579118C2314yes—
440#14579118C2314yes—
441#14579118C2318yes—
442#14579118C2314yes—
443#14579118C2314yes—
444#14579118C2314yes—
445#14579117C2314yes—
446#14579117C2314yes—
447#14579117C2318yes—
448#14579117C2318yes—
449#14579117C2318yes—
450#14579117C2318yes—
451#14579117C2318yes—
452#14579117C2314yes—
453C2×C4⋊Dic79C2311yescharacteristic
454C2×C4⋊Dic79C2314yes—
455C2×C4⋊Dic79C2312yes—
456C2×Dic79⋊C4C2312yes—
457C2×Dic79⋊C4C2318yes—
458C2×Dic79⋊C4C2312yes—
459C2×Dic79⋊C4C2312yes—
460C2×Dic79⋊C4C2312yes—
461C2×Dic79⋊C4C2312yes—
462C4⋊C4×D79C2314yes—
463C4⋊C4×D79C2312yes—
464C4⋊C4×D79C2312yes—
465C4⋊C4×D79C2312yes—
466C4⋊C4×D79C2314yes—
467C4⋊C4×D79C2312yes—
468C2×(C2×D79)⋊C4C2312yes—
469C2×(C2×D79)⋊C4C2312yes—
470C22⋊C4×D79C2314yes—
471C2×C4×Dic79C2311yescharacteristic
472C2×C4×Dic79C2311yescharacteristic
473C2×C4×Dic79C2311yescharacteristic
474C2×C4×Dic79C2312yes—
475C2×C4×Dic79C2314yes—
476C42×D79C2311yescharacteristic
477C42×D79C2311yescharacteristic
478C42×D79C2311yescharacteristic
479C42×D79C2311yescharacteristic
480C42×D79C2311yescharacteristic
481C42×D79C2311yescharacteristic
482C42×D79C2311yescharacteristic
483C42×D79C2311yescharacteristic
484C42×D79C2314yes—
485C2×#41×C79C2312yes—
486C22×Q8×C79C2311yescharacteristic
487C4⋊Q8×C79C2314yes—
488C4⋊Q8×C79C2311yescharacteristic
489C4⋊Q8×C79C2311yescharacteristic
490C4⋊Q8×C79C2311yescharacteristic
491#127×C79C2311yescharacteristic
492#126×C79C2318yes—
493#126×C79C2318yes—
494#125×C79C2318yes—
495#125×C79C2314yes—
496#125×C79C2312yes—
497#124×C79C2314yes—
498#124×C79C2314yes—
499#124×C79C2312yes—
500#123×C79C2318yes—
501#123×C79C2318yes—
502C22⋊Q8×C79C2318yes—
503C22⋊Q8×C79C2314yes—
504C22⋊Q8×C79C2314yes—
505C22⋊Q8×C79C2312yes—
506C22⋊Q8×C79C2312yes—
507#121×C79C2312yes—
508#121×C79C2312yes—
509C4×Q8×C79C2314yes—
510C4×Q8×C79C2314yes—
511C4×Q8×C79C2312yes—
512C4×Q8×C79C2312yes—
513C4×Q8×C79C2312yes—
514C4×Q8×C79C2312yes—
515C4×Q8×C79C2312yes—
516C4×Q8×C79C2312yes—
517C4×D4×C79C2314yes—
518C4×D4×C79C2314yes—
519C4×D4×C79C2318yes—
520C4×D4×C79C2312yes—
521C4×D4×C79C2312yes—
522#117×C79C2318yes—
523#117×C79C2312yes—
524#117×C79C2314yes—
525C2×C4⋊C4×C79C2311yescharacteristic
526C2×C4⋊C4×C79C2312yes—
527C2×C4⋊C4×C79C2314yes—
528C2×C42×C79C2312yes—
529C2×C42×C79C2311yescharacteristic
530C23×D79C2411yescharacteristic
531#11929623—28no—
532#11929623—44no—
533C2×Dic158—24no—
534C2×Dic158—416no—
535C2×Dic158—44no—
536C2×Dic158C2414yes—
537C2×Dic158C2414yes—
538C2×Dic158C2412yes—
539C2×Dic158C2414yes—
540C2×Dic158C2412yes—
541C2×Dic158C2412yes—
542C2×Dic158C2412yes—
543C2×Dic158C2412yes—
544C2×Dic158C2418yes—
545C2×Dic158C2414yes—
546C2×Dic158C2418yes—
547C2×Dic158C2412yes—
548Q8×D79—28no—
549Q8×D79—44no—
550C2×C22⋊D79C2414yes—
551C2×C22⋊D79C2414yes—
552C22×Dic79C2414yes—
553C22×Dic79C2411yescharacteristic
554C22×Dic79C2412yes—
555C22×Dic79C2414yes—
556C22×Dic79C2411yescharacteristic
557C22×Dic79C2411yescharacteristic
558C22×Dic79C2412yes—
559C22×Dic79C2418yes—
560C2×C4×D79—24no—
561C2×C4×D79—24no—
562C2×C4×D79—42no—
563C2×C4×D79C2411yescharacteristic
564C2×C4×D79C2414yes—
565C2×C4×D79C2411yescharacteristic
566C2×C4×D79C2411yescharacteristic
567C2×C4×D79C2411yescharacteristic
568C2×C4×D79C2411yescharacteristic
569C2×C4×D79C2411yescharacteristic
570C2×C4×D79C2411yescharacteristic
571C2×C4×D79C2411yescharacteristic
572C2×C4×D79C2411yescharacteristic
573C2×C4×D79C2414yes—
574C2×C4×D79C2411yescharacteristic
575C2×C4×D79C2411yescharacteristic
576C2×C4×D79C2411yescharacteristic
577C4⋊Dic79C2412yes—
578C4⋊Dic79C2412yes—
579C4⋊Dic79C2412yes—
580C4⋊Dic79C2412yes—
581C4⋊Dic79C2414yes—
582C4⋊Dic79C2414yes—
583C4⋊Dic79C2412yes—
584C4⋊Dic79C2414yes—
585C4⋊Dic79C2412yes—
586C4⋊Dic79C2418yes—
587C4⋊Dic79C2414yes—
588C4⋊Dic79C2412yes—
589C4⋊Dic79C2412yes—
590C4⋊Dic79C2418yes—
591C4⋊Dic79C2412yes—
592C4⋊Dic79C2412yes—
593C4⋊Dic79C2414yes—
594C4⋊Dic79C2414yes—
595C4⋊Dic79C2418yes—
596C4⋊Dic79C2418yes—
597C4⋊Dic79C2418yes—
598Dic79⋊C4C2414yes—
599Dic79⋊C4C2414yes—
600Dic79⋊C4C2414yes—
601Dic79⋊C4C2414yes—
602Dic79⋊C4C2414yes—
603Dic79⋊C4C2414yes—
604Dic79⋊C4C2414yes—
605Dic79⋊C4C2414yes—
606Dic79⋊C4C2414yes—
607Dic79⋊C4C2414yes—
608Dic79⋊C4C2414yes—
609Dic79⋊C4C2414yes—
610Dic79⋊C4C2414yes—
611Dic79⋊C4C2414yes—
612Dic79⋊C4C2418yes—
613Dic79⋊C4C2418yes—
614Dic79⋊C4C2414yes—
615Dic79⋊C4C2414yes—
616Dic79⋊C4C2414yes—
617Dic79⋊C4C2414yes—
618Dic79⋊C4C2414yes—
619Dic79⋊C4C2414yes—
620Dic79⋊C4C2414yes—
621Dic79⋊C4C2414yes—
622Dic79⋊C4C2418yes—
623Dic79⋊C4C2418yes—
624Dic79⋊C4C2418yes—
625Dic79⋊C4C2418yes—
626Dic79⋊C4C2418yes—
627Dic79⋊C4C2418yes—
628C22⋊Dic79C2414yes—
629C22⋊Dic79C2414yes—
630C22⋊Dic79C2414yes—
631C22⋊Dic79C2418yes—
632C22⋊Dic79C2414yes—
633C22⋊Dic79C2418yes—
634C22⋊Dic79C2414yes—
635C22⋊Dic79C2414yes—
636C22⋊Dic79C2418yes—
637(C2×D79)⋊C4C2414yes—
638(C2×D79)⋊C4C2414yes—
639(C2×D79)⋊C4C2414yes—
640(C2×D79)⋊C4C2414yes—
641(C2×D79)⋊C4C2414yes—
642(C2×D79)⋊C4C2414yes—
643(C2×D79)⋊C4C2414yes—
644(C2×D79)⋊C4C2414yes—
645C4×Dic79C2411yescharacteristic
646C4×Dic79C2411yescharacteristic
647C4×Dic79C2411yescharacteristic
648C4×Dic79C2411yescharacteristic
649C4×Dic79C2411yescharacteristic
650C4×Dic79C2411yescharacteristic
651C4×Dic79C2411yescharacteristic
652C4×Dic79C2411yescharacteristic
653C4×Dic79C2411yescharacteristic
654C4×Dic79C2411yescharacteristic
655C4×Dic79C2411yescharacteristic
656C4×Dic79C2411yescharacteristic
657C4×Dic79C2414yes—
658C4×Dic79C2414yes—
659C4×Dic79C2414yes—
660C4×Dic79C2414yes—
661C4×Dic79C2414yes—
662C4×Dic79C2414yes—
663C4×Dic79C2414yes—
664C4×Dic79C2414yes—
665C4×Dic79C2418yes—
666C4×Dic79C2418yes—
667C4×Dic79C2418yes—
668C4×Dic79C2418yes—
669C4×Dic79C2418yes—
670#41×C79—28no—
671C2×Q8×C79—24no—
672C2×Q8×C79C2412yes—
673C2×Q8×C79C2412yes—
674C2×Q8×C79C2412yes—
675C2×Q8×C79C2412yes—
676C2×Q8×C79C2412yes—
677C2×D4×C79C2412yes—
678C2×D4×C79C2414yes—
679C2×D4×C79C2412yes—
680C2×D4×C79C2412yes—
681C22×C4×C79C2411yescharacteristic
682C22×C4×C79C2412yes—
683C22×C4×C79C2414yes—
684C22×C4×C79C2412yes—
685C22×C4×C79C2418yes—
686C22×C4×C79C2411yescharacteristic
687C22×C4×C79C2411yescharacteristic
688C4⋊C4×C79C2412yes—
689C4⋊C4×C79C2412yes—
690C4⋊C4×C79C2412yes—
691C4⋊C4×C79C2418yes—
692C4⋊C4×C79C2414yes—
693C4⋊C4×C79C2414yes—
694C4⋊C4×C79C2412yes—
695C4⋊C4×C79C2414yes—
696C4⋊C4×C79C2418yes—
697C4⋊C4×C79C2412yes—
698C4⋊C4×C79C2412yes—
699C4⋊C4×C79C2412yes—
700C4⋊C4×C79C2414yes—
701C4⋊C4×C79C2418yes—
702C4⋊C4×C79C2412yes—
703C22⋊C4×C79C2414yes—
704C22⋊C4×C79C2414yes—
705C22⋊C4×C79C2418yes—
706C22⋊C4×C79C2418yes—
707C22⋊C4×C79C2414yes—
708C22⋊C4×C79C2418yes—
709C42×C79C2414yes—
710C42×C79C2411yescharacteristic
711C42×C79C2411yescharacteristic
712C42×C79C2414yes—
713C42×C79C2411yescharacteristic
714C42×C79C2411yescharacteristic
715C42×C79C2418yes—
716C42×C79C2414yes—
717C23×C79C2514yes—
718C23×C79C2511yescharacteristic
719C22×D79—22no—
720C22×D79—22no—
721C22×D79—41no—
722C22×D79C2511yescharacteristic
723C22×D79C2511yescharacteristic
724Q8×C79—24no—
725Q8×C79—24no—
726Q8×C79—24no—
727Q8×C79—24no—
728Q8×C79—42no—
729D4×C79—28no—
730D4×C79—24no—
731D4×C79—24no—
732D4×C79—42no—
733C2×C4×C79—24no—
734C2×C4×C79—22no—
735C2×C4×C79—28no—
736C2×C4×C79—41no—
737C2×C4×C79—42no—
738C2×C4×C79—48no—
739C2×C4×C792−1+414yes—
740C2×C4×C79C2511yescharacteristic
741C2×C4×C79C2514yes—
742C2×C4×C79C2514yes—
743C2×C4×C79C2514yes—
744C2×C4×C79C2514yes—
745C2×C4×C79C2511yescharacteristic
746C2×C4×C79C2511yescharacteristic
747C2×C4×C79C2514yes—
748C2×C4×C79C2511yescharacteristic
749C2×C4×C79C2511yescharacteristic
750C2×C4×C79C2511yescharacteristic
751C22⋊D79—28no—
752C22⋊D79—44no—
753C2×Dic79—22no—
754C2×Dic79—24no—
755C2×Dic79—22no—
756C2×Dic79—28no—
757C2×Dic79—22no—
758C2×Dic79—28no—
759C2×Dic79—48no—
760C2×Dic79—42no—
761C2×Dic79C2511yescharacteristic
762C2×Dic79C2514yes—
763C2×Dic79C2514yes—
764C2×Dic79C2514yes—
765C2×Dic79C2514yes—
766C2×Dic79C2514yes—
767C2×Dic79C2514yes—
768C2×Dic79C2511yescharacteristic
769C2×Dic79C2511yescharacteristic
770C2×Dic79C2511yescharacteristic
771C2×Dic79C2511yescharacteristic
772C2×Dic79C2511yescharacteristic
773C4×D79—22no—
774C4×D79—28no—
775C4×D79—22no—
776C4×D79—22no—
777C4×D79—22no—
778C4×D79—22no—
779C4×D79—22no—
780C4×D79—22no—
781C4×D79—22no—
782C4×D79—22no—
783C4×D79—41no—
784C4×D79—41no—
785C4×D79—44no—
786C4×D792−1+414yes—
787Dic158—24no—
788Dic158—24no—
789Dic158—24no—
790Dic158—24no—
791Dic158—28no—
792Dic158—28no—
793Dic158—28no—
794Dic158—42no—
795Dic158—48no—
796Dic158—48no—
797Dic158—44no—
798Dic158—42no—
799C22×C79—21no—
800C22×C79—21no—
801C22×C79—24no—
802C22×C79—24no—
803C22×C79—24no—
804C22×C79C2×2−1+412yes—
805C22×C79C2611yescharacteristic
806C2×D79—21no—
807C2×D79—21no—
808C2×D79—21no—
809C2×D79—21no—
810C2×D79—21no—
811C2×D79—44no—
812C2×D79C2×2−1+412yes—
813C4×C79—24no—
814C4×C79—24no—
815C4×C79—21no—
816C4×C79—24no—
817C4×C79—24no—
818C4×C79—24no—
819C4×C79—21no—
820C4×C79—21no—
821C4×C79C2×2−1+412yes—
822C4×C79C2×2−1+412yes—
823C4×C79C2×2−1+412yes—
824Dic79—24no—
825Dic79—24no—
826Dic79—24no—
827Dic79—21no—
828Dic79—21no—
829Dic79—21no—
830Dic79—24no—
831Dic79—24no—
832Dic79—24no—
833Dic79—21no—
834Dic79C2×2−1+412yes—
835Dic79#58512yes—
836#62837—791nomaximal, Sylow
837C2×C79—22no—
838C2×C79—44no—
839C2×C79C22×2−1+411yescharacteristic
840C2×C79C22×2−1+411yescharacteristic
841C2×C79C2×#58511yescharacteristic
842D79—22no—
843D79—41no—
844#3563—794no—
845#3563—794no—
846#3556—792no—
847#3555—792no—
848#3555—794no—
849#3555—792no—
850#3550—792no—
851#3538—794no—
852#3523—794no—
853#3523—794no—
854#3509—792no—
855#3509—794no—
856#3509—792no—
857#3507—792no—
858#3507—791no—
859#3507D7911yescharacteristic, complemented
860#3503—792no—
861#3503—792no—
862#3502—792no—
863#3502—791no—
864#3502—791no—
865#3495—792no—
866#3495—794no—
867#3495—792no—
868#3444—791no—
869C2×#533—791no—
870C2×#533—791no—
871C79#6283711yescharacteristic, complemented, Sylow
872#564—798no—
873#563—798no—
874#563—798no—
875#563—798no—
876#559—792no—
877#559C2×D7912yescomplemented
878Q82—792no—
879Q82—792no—
880Q82—792no—
881Q82—794no—
882Q82—792no—
883#557—792no—
884#557—794no—
885#557—792no—
886#557—794no—
887#557—798no—
888#557—794no—
889#557—794no—
890#557—794no—
891#557—794no—
892#557—794no—
893#557—794no—
894#557—792no—
895#557—794no—
896#557—794no—
897#557—792no—
898#557—792no—
899#557—794no—
900#557C2×D7912yescomplemented
901#556—798no—
902#556—794no—
903#556—794no—
904#556—794no—
905#556—794no—
906#556—794no—
907#556—794no—
908#556—792no—
909#556—794no—
910#556—794no—
911#556C2×D7912yescomplemented
912#556C2×D7914yescomplemented
913#554—794no—
914#554—792no—
915#554—798no—
916#554—794no—
917#554—794no—
918#554C2×D7912yescomplemented
919#552—798no—
920#552—798no—
921#552—798no—
922#552—798no—
923#552—798no—
924#552—798no—
925#552—794no—
926#552—794no—
927#552—798no—
928#552—794no—
929#552—798no—
930#552—794no—
931#552—798no—
932#552—794no—
933#552C2×D7914yescomplemented
934#551—798no—
935#551—798no—
936D4×Q8—798no—
937D4×Q8—798no—
938D4×Q8—794no—
939D4×Q8—794no—
940#544—794no—
941#544—798no—
942#544—794no—
943#544—798no—
944#544—792no—
945#544—794no—
946#544—792no—
947#544—794no—
948#544—794no—
949#542—794no—
950#542—794no—
951#542—794no—
952#542—794no—
953#541—794no—
954#541—798no—
955#541—798no—
956#541—798no—
957#541—798no—
958#541—798no—
959#541—794no—
960#541—794no—
961#541—794no—
962#541—798no—
963#541—794no—
964#541—794no—
965#541—798no—
966#539—798no—
967#539—794no—
968#539C2×D7914yes—
969#536—792no—
970#536—794no—
971#536—798no—
972#536C2×D7912yes—
973#533—791no—
974#533—791no—
975#533—791no—
976#533—791no—
977#533—794no—
978#533—792no—
979#533—792no—
980#533—792no—
981#533—794no—
982#533—794no—
983#533—794no—
984#533—792no—
985#533—792no—
986#533—792no—
987#533—792no—
988#533—792no—
989#533—792no—
990#533—792no—
991#533—792no—
992#533—792no—
993#533—792no—
994#533—794no—
995#533—792no—
996#533—794no—
997#533—791no—
998#533—791no—
999#533—794no—
1000#533C2×D7911yescharacteristic
1001#532—791no—
1002#532—791no—
1003#532C2×D7911yescharacteristic
1004C2×C4⋊Q8—791no—
1005C2×C4⋊Q8—791no—
1006C2×C4⋊Q8—791no—
1007C2×C4⋊Q8—791no—
1008C2×C4⋊Q8—794no—
1009#529—792no—
1010#529—792no—
1011#529—794no—
1012#529—792no—
1013#529—792no—
1014#529—794no—
1015#529—792no—
1016#529—792no—
1017#529—794no—
1018#529C2×D7914yes—
1019C2×#125—792no—
1020C2×#125—792no—
1021#525—792no—
1022#525—792no—
1023#525—792no—
1024C2×C22⋊Q8—791no—
1025C2×C22⋊Q8—792no—
1026C2×C22⋊Q8—792no—
1027C2×C22⋊Q8—791no—
1028C2×C22⋊Q8—792no—
1029#520—792no—
1030#520—794no—
1031#520C2×D7912yes—
1032#519—792no—
1033#519—794no—
1034#519—792no—
1035#519—798no—
1036C4×#41—792no—
1037C4×#41—792no—
1038C4×#41—792no—
1039C2×C4×Q8—792no—
1040C2×C4×Q8—792no—
1041C2×C4×Q8—791no—
1042C2×C4×Q8—792no—
1043C2×C4×Q8C2×D7911yescharacteristic
1044C2×#117—792no—
1045C2×#117—792no—
1046C22×C42—791no—
1047C2×#41—792no—
1048C2×#41—792no—
1049C2×#41C22×D7912yes—
1050C22×Q8—792no—
1051C22×Q8—792no—
1052C22×Q8—792no—
1053C22×Q8—798no—
1054C22×Q8—791no—
1055C22×Q8C22×D7911yescharacteristic
1056C23×C4—791no—
1057C23×C4—791no—
1058C23×C4—791no—
1059C4⋊Q8—792no—
1060C4⋊Q8—792no—
1061C4⋊Q8—792no—
1062C4⋊Q8—792no—
1063C4⋊Q8—792no—
1064C4⋊Q8—792no—
1065C4⋊Q8—794no—
1066C4⋊Q8—794no—
1067C4⋊Q8—798no—
1068C4⋊Q8—792no—
1069C4⋊Q8—792no—
1070C4⋊Q8—792no—
1071C4⋊Q8—792no—
1072C4⋊Q8—792no—
1073C4⋊Q8—792no—
1074C4⋊Q8—792no—
1075C4⋊Q8—792no—
1076C4⋊Q8—798no—
1077C4⋊Q8—798no—
1078C4⋊Q8—794no—
1079C4⋊Q8—794no—
1080C4⋊Q8—794no—
1081C4⋊Q8—794no—
1082C4⋊Q8—798no—
1083C4⋊Q8—798no—
1084C4⋊Q8—798no—
1085C4⋊Q8—798no—
1086C4⋊Q8—791no—
1087C4⋊Q8—791no—
1088C4⋊Q8—791no—
1089C4⋊Q8—791no—
1090C4⋊Q8—794no—
1091C4⋊Q8—794no—
1092C4⋊Q8—794no—
1093C4⋊Q8—798no—
1094C4⋊Q8C22×D7911yescharacteristic
1095C4⋊Q8C22×D7911yescharacteristic
1096C4⋊Q8C22×D7911yescharacteristic
1097C4⋊Q8C22×D7914yes—
1098#127C22×D7911yescharacteristic
1099#126—798no—
1100#126—798no—
1101#126—798no—
1102#126—794no—
1103#126—794no—
1104#126—798no—
1105#126—798no—
1106#126—798no—
1107#126—798no—
1108#126—798no—
1109#126—798no—
1110#126—798no—
1111#126—798no—
1112#126—798no—
1113#126—798no—
1114#126—798no—
1115#126C22×D7918yes—
1116#126C22×D7918yes—
1117#125—794no—
1118#125—794no—
1119#125—794no—
1120#125—792no—
1121#125—792no—
1122#125—794no—
1123#125—794no—
1124#125—794no—
1125#125—792no—
1126#125—792no—
1127#125—794no—
1128#125—794no—
1129#125—798no—
1130#125—798no—
1131#125—798no—
1132#125—798no—
1133#125—798no—
1134#125—794no—
1135#125—794no—
1136#125—798no—
1137#125—798no—
1138#125—798no—
1139#125—798no—
1140#125—798no—
1141#125—798no—
1142#125—798no—
1143#125—798no—
1144#125—798no—
1145#125—798no—
1146#125—798no—
1147#125—798no—
1148#125—798no—
1149#125—792no—
1150#125—792no—
1151#125—794no—
1152#125—798no—
1153#125—798no—
1154#125—798no—
1155#125C22×D7912yes—
1156#125C22×D7914yes—
1157#125C22×D7918yes—
1158#124—792no—
1159#124—792no—
1160#124—794no—
1161#124—794no—
1162#124—798no—
1163#124—798no—
1164#124C22×D7912yes—
1165#124C22×D7914yes—
1166#124C22×D7914yes—
1167#123—794no—
1168#123—798no—
1169#123—798no—
1170#123—798no—
1171#123—794no—
1172#123—794no—
1173#123—798no—
1174#123—798no—
1175#123—798no—
1176#123C22×D7918yes—
1177#123C22×D7918yes—
1178C22⋊Q8—792no—
1179C22⋊Q8—792no—
1180C22⋊Q8—792no—
1181C22⋊Q8—792no—
1182C22⋊Q8—792no—
1183C22⋊Q8—792no—
1184C22⋊Q8—792no—
1185C22⋊Q8—792no—
1186C22⋊Q8—792no—
1187C22⋊Q8—792no—
1188C22⋊Q8—792no—
1189C22⋊Q8—792no—
1190C22⋊Q8—794no—
1191C22⋊Q8—794no—
1192C22⋊Q8—798no—
1193C22⋊Q8—798no—
1194C22⋊Q8—798no—
1195C22⋊Q8—798no—
1196C22⋊Q8—792no—
1197C22⋊Q8—794no—
1198C22⋊Q8—794no—
1199C22⋊Q8—794no—
1200C22⋊Q8—792no—
1201C22⋊Q8—792no—
1202C22⋊Q8—794no—
1203C22⋊Q8—792no—
1204C22⋊Q8—794no—
1205C22⋊Q8—792no—
1206C22⋊Q8—794no—
1207C22⋊Q8—792no—
1208C22⋊Q8—792no—
1209C22⋊Q8—792no—
1210C22⋊Q8—798no—
1211C22⋊Q8—798no—
1212C22⋊Q8—794no—
1213C22⋊Q8—794no—
1214C22⋊Q8—798no—
1215C22⋊Q8—798no—
1216C22⋊Q8—798no—
1217C22⋊Q8—798no—
1218C22⋊Q8—798no—
1219C22⋊Q8—798no—
1220C22⋊Q8—798no—
1221C22⋊Q8—798no—
1222C22⋊Q8—798no—
1223C22⋊Q8C22×D7912yes—
1224C22⋊Q8C22×D7912yes—
1225C22⋊Q8C22×D7914yes—
1226C22⋊Q8C22×D7914yes—
1227C22⋊Q8C22×D7918yes—
1228#121—792no—
1229#121—792no—
1230#121—792no—
1231#121—792no—
1232#121C22×D7912yes—
1233#121C22×D7912yes—
1234#120—794no—
1235C4×Q8—792no—
1236C4×Q8—792no—
1237C4×Q8—792no—
1238C4×Q8—792no—
1239C4×Q8—794no—
1240C4×Q8—794no—
1241C4×Q8—794no—
1242C4×Q8—794no—
1243C4×Q8—794no—
1244C4×Q8—794no—
1245C4×Q8—794no—
1246C4×Q8—792no—
1247C4×Q8—794no—
1248C4×Q8—792no—
1249C4×Q8—792no—
1250C4×Q8—792no—
1251C4×Q8—794no—
1252C4×Q8—798no—
1253C4×Q8—794no—
1254C4×Q8—798no—
1255C4×Q8—798no—
1256C4×Q8—798no—
1257C4×Q8—794no—
1258C4×Q8—794no—
1259C4×Q8—794no—
1260C4×Q8—794no—
1261C4×Q8—794no—
1262C4×Q8—794no—
1263C4×Q8—792no—
1264C4×Q8—794no—
1265C4×Q8—792no—
1266C4×Q8—794no—
1267C4×Q8—792no—
1268C4×Q8—792no—
1269C4×Q8—792no—
1270C4×Q8—792no—
1271C4×Q8—792no—
1272C4×Q8—792no—
1273C4×Q8—794no—
1274C4×Q8—798no—
1275C4×Q8—798no—
1276C4×Q8—798no—
1277C4×Q8—798no—
1278C4×Q8—794no—
1279C4×Q8—794no—
1280C4×Q8—794no—
1281C4×Q8C22×D7912yes—
1282C4×Q8C22×D7912yes—
1283C4×Q8C22×D7912yes—
1284C4×Q8C22×D7912yes—
1285C4×Q8C22×D7912yes—
1286C4×Q8C22×D7912yes—
1287C4×Q8C22×D7914yes—
1288C4×Q8C22×D7914yes—
1289C4×D4—794no—
1290C4×D4—794no—
1291C4×D4—792no—
1292C4×D4—792no—
1293C4×D4—792no—
1294C4×D4—792no—
1295C4×D4—798no—
1296C4×D4—794no—
1297C4×D4—794no—
1298C4×D4—794no—
1299C4×D4—794no—
1300C4×D4—798no—
1301C4×D4—794no—
1302C4×D4—794no—
1303C4×D4—798no—
1304C4×D4C22×D7912yes—
1305C4×D4C22×D7912yes—
1306C4×D4C22×D7914yes—
1307C4×D4C22×D7914yes—
1308C4×D4C22×D7918yes—
1309#117—792no—
1310#117—792no—
1311#117—794no—
1312#117—798no—
1313#117—798no—
1314#117—794no—
1315#117—792no—
1316#117—792no—
1317#117—792no—
1318#117—792no—
1319#117—798no—
1320#117—794no—
1321#117—794no—
1322#117—794no—
1323#117—798no—
1324#117—798no—
1325#117—798no—
1326#117—798no—
1327#117—798no—
1328#117—794no—
1329#117—794no—
1330#117—794no—
1331#117—794no—
1332#117—794no—
1333#117—798no—
1334#117C22×D7912yes—
1335#117C22×D7918yes—
1336#117C22×D7914yes—
1337C2×C4⋊C4—792no—
1338C2×C4⋊C4—792no—
1339C2×C4⋊C4—791no—
1340C2×C4⋊C4—792no—
1341C2×C4⋊C4—792no—
1342C2×C4⋊C4—792no—
1343C2×C4⋊C4—792no—
1344C2×C4⋊C4—798no—
1345C2×C4⋊C4—794no—
1346C2×C4⋊C4—792no—
1347C2×C4⋊C4—792no—
1348C2×C4⋊C4—792no—
1349C2×C4⋊C4—794no—
1350C2×C4⋊C4—794no—
1351C2×C4⋊C4—792no—
1352C2×C4⋊C4C22×D7911yescharacteristic
1353C2×C4⋊C4C22×D7912yes—
1354C2×C4⋊C4C22×D7914yes—
1355C2×C22⋊C4—792no—
1356C2×C22⋊C4—792no—
1357C2×C22⋊C4—794no—
1358C2×C42—792no—
1359C2×C42—791no—
1360C2×C42—794no—
1361C2×C42—791no—
1362C2×C42—791no—
1363C2×C42—794no—
1364C2×C42—791no—
1365C2×C42—791no—
1366C2×C42—791no—
1367C2×C42—791no—
1368C2×C42—791no—
1369C2×C42—791no—
1370C2×C42—791no—
1371C2×C42—791no—
1372C2×C42C22×D7912yes—
1373C2×C42C22×D7911yescharacteristic
1374C24—791no—
1375#41—28no—
1376#41—3164no—
1377#41—1588no—
1378C2×Q8—24no—
1379C2×Q8—3164no—
1380C2×Q8—31616no—
1381C2×Q8—3164no—
1382C2×Q8—792no—
1383C2×Q8—794no—
1384C2×Q8—798no—
1385C2×Q8—798no—
1386C2×Q8—792no—
1387C2×Q8—794no—
1388C2×Q8—792no—
1389C2×Q8—792no—
1390C2×Q8—792no—
1391C2×Q8—792no—
1392C2×Q8—794no—
1393C2×Q8—794no—
1394C2×Q8—1588no—
1395C2×Q8—1584no—
1396C2×Q8C23×D7912yes—
1397C2×Q8C23×D7912yes—
1398C2×Q8C23×D7912yes—
1399C2×Q8C23×D7912yes—
1400C2×Q8C23×D7912yes—
1401C2×D4—794no—
1402C2×D4—794no—
1403C2×D4C23×D7914yes—
1404C2×D4C23×D7912yes—
1405C2×D4C23×D7912yes—
1406C2×D4C23×D7912yes—
1407C22×C4—3162no—
1408C22×C4—792no—
1409C22×C4—798no—
1410C22×C4—791no—
1411C22×C4—791no—
1412C22×C4—794no—
1413C22×C4—791no—
1414C22×C4—791no—
1415C22×C4—791no—
1416C22×C4—791no—
1417C22×C4—792no—
1418C22×C4—794no—
1419C22×C4—794no—
1420C22×C4—791no—
1421C22×C4—791no—
1422C22×C4—791no—
1423C22×C4—791no—
1424C22×C4—791no—
1425C22×C4—791no—
1426C22×C4—791no—
1427C22×C4—791no—
1428C22×C4—791no—
1429C22×C4—794no—
1430C22×C4—1584no—
1431C22×C4—1584no—
1432C22×C4C23×D7911yescharacteristic
1433C22×C4C23×D7914yes—
1434C22×C4C23×D7912yes—
1435C22×C4C23×D7911yescharacteristic
1436C22×C4C23×D7912yes—
1437C22×C4C23×D7918yes—
1438C22×C4C23×D7911yescharacteristic
1439C4⋊C4—794no—
1440C4⋊C4—794no—
1441C4⋊C4—794no—
1442C4⋊C4—794no—
1443C4⋊C4—794no—
1444C4⋊C4—794no—
1445C4⋊C4—794no—
1446C4⋊C4—794no—
1447C4⋊C4—794no—
1448C4⋊C4—794no—
1449C4⋊C4—794no—
1450C4⋊C4—798no—
1451C4⋊C4—798no—
1452C4⋊C4—794no—
1453C4⋊C4—794no—
1454C4⋊C4—794no—
1455C4⋊C4—794no—
1456C4⋊C4—794no—
1457C4⋊C4—794no—
1458C4⋊C4—794no—
1459C4⋊C4—794no—
1460C4⋊C4—794no—
1461C4⋊C4—794no—
1462C4⋊C4—794no—
1463C4⋊C4—798no—
1464C4⋊C4—798no—
1465C4⋊C4—798no—
1466C4⋊C4—798no—
1467C4⋊C4—798no—
1468C4⋊C4—798no—
1469C4⋊C4—792no—
1470C4⋊C4—792no—
1471C4⋊C4—792no—
1472C4⋊C4—794no—
1473C4⋊C4—792no—
1474C4⋊C4—792no—
1475C4⋊C4—798no—
1476C4⋊C4—794no—
1477C4⋊C4—794no—
1478C4⋊C4—794no—
1479C4⋊C4—792no—
1480C4⋊C4—792no—
1481C4⋊C4—792no—
1482C4⋊C4—792no—
1483C4⋊C4—792no—
1484C4⋊C4—794no—
1485C4⋊C4—794no—
1486C4⋊C4—798no—
1487C4⋊C4—798no—
1488C4⋊C4—798no—
1489C4⋊C4—798no—
1490C4⋊C4C23×D7912yes—
1491C4⋊C4C23×D7912yes—
1492C4⋊C4C23×D7914yes—
1493C4⋊C4C23×D7912yes—
1494C4⋊C4C23×D7914yes—
1495C4⋊C4C23×D7912yes—
1496C4⋊C4C23×D7912yes—
1497C4⋊C4C23×D7912yes—
1498C4⋊C4C23×D7918yes—
1499C4⋊C4C23×D7914yes—
1500C4⋊C4C23×D7914yes—
1501C4⋊C4C23×D7912yes—
1502C4⋊C4C23×D7912yes—
1503C4⋊C4C23×D7918yes—
1504C4⋊C4C23×D7918yes—
1505C22⋊C4—794no—
1506C22⋊C4—794no—
1507C22⋊C4—794no—
1508C22⋊C4—798no—
1509C22⋊C4—794no—
1510C22⋊C4—794no—
1511C22⋊C4—794no—
1512C22⋊C4—798no—
1513C22⋊C4—798no—
1514C22⋊C4—794no—
1515C22⋊C4—794no—
1516C22⋊C4—794no—
1517C22⋊C4—794no—
1518C22⋊C4—794no—
1519C22⋊C4—794no—
1520C22⋊C4—794no—
1521C22⋊C4—794no—
1522C22⋊C4C23×D7914yes—
1523C22⋊C4C23×D7914yes—
1524C22⋊C4C23×D7918yes—
1525C22⋊C4C23×D7914yes—
1526C22⋊C4C23×D7918yes—
1527C22⋊C4C23×D7918yes—
1528C42—791no—
1529C42—791no—
1530C42—791no—
1531C42—791no—
1532C42—791no—
1533C42—791no—
1534C42—791no—
1535C42—791no—
1536C42—791no—
1537C42—791no—
1538C42—791no—
1539C42—791no—
1540C42—794no—
1541C42—794no—
1542C42—794no—
1543C42—794no—
1544C42—794no—
1545C42—794no—
1546C42—794no—
1547C42—794no—
1548C42—798no—
1549C42—798no—
1550C42—798no—
1551C42—798no—
1552C42—798no—
1553C42C23×D7911yescharacteristic
1554C42C23×D7911yescharacteristic
1555C42C23×D7911yescharacteristic
1556C42C23×D7911yescharacteristic
1557C42C23×D7914yes—
1558C42C23×D7914yes—
1559C42C23×D7914yes—
1560C42C23×D7918yes—
1561C23—3161no—
1562C23—791no—
1563C23—791no—
1564C23—1582no—
1565C23—1582no—
1566C23C24×D7914yes—
1567C23C24×D7911yescharacteristic
1568Q8—24no—
1569Q8—24no—
1570Q8—24no—
1571Q8—24no—
1572Q8—42no—
1573Q8—3164no—
1574Q8—3168no—
1575Q8—3168no—
1576Q8—3162no—
1577Q8—3162no—
1578Q8—1588no—
1579Q8—1588no—
1580Q8—1588no—
1581Q8—1584no—
1582Q8—1584no—
1583Q8—1584no—
1584Q8—1584no—
1585D4—28no—
1586D4—24no—
1587D4—24no—
1588D4—42no—
1589D4—3164no—
1590D4—1588no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—28no—
1594C2×C4—41no—
1595C2×C4—42no—
1596C2×C4—48no—
1597C2×C4—3161no—
1598C2×C4—3161no—
1599C2×C4—3164no—
1600C2×C4—3162no—
1601C2×C4—3168no—
1602C2×C4—791no—
1603C2×C4—791no—
1604C2×C4—794no—
1605C2×C4—791no—
1606C2×C4—794no—
1607C2×C4—794no—
1608C2×C4—794no—
1609C2×C4—794no—
1610C2×C4—791no—
1611C2×C4—791no—
1612C2×C4—794no—
1613C2×C4—794no—
1614C2×C4—791no—
1615C2×C4—1582no—
1616C2×C4—1582no—
1617C2×C4—1582no—
1618C2×C4—1582no—
1619C2×C4—1588no—
1620C2×C4—1582no—
1621C2×C4—1582no—
1622C2×C4—1588no—
1623C2×C4—1588no—
1624C2×C4—1582no—
1625C2×C4—1584no—
1626C2×C4—1582no—
1627C2×C4—1582no—
1628C2×C4—1582no—
1629C2×C4—1582no—
1630C2×C4—1582no—
1631C2×C4#1457920814yes—
1632C2×C4C24×D7911yescharacteristic
1633C2×C4C24×D7914yes—
1634C2×C4C24×D7914yes—
1635C2×C4C24×D7914yes—
1636C2×C4C24×D7914yes—
1637C2×C4C24×D7911yescharacteristic
1638C2×C4C24×D7911yescharacteristic
1639C2×C4C24×D7914yes—
1640C2×C4C24×D7911yescharacteristic
1641C2×C4C24×D7911yescharacteristic
1642C2×C4C24×D7911yescharacteristic
1643C22—21no—
1644C22—21no—
1645C22—24no—
1646C22—24no—
1647C22—24no—
1648C22—3164no—
1649C22—792no—
1650C22—1581no—
1651C22—1581no—
1652C22—1581no—
1653C22—1581no—
1654C22—1581no—
1655C22C2×#1457920812yes—
1656C22C25×D7911yescharacteristic
1657C4—21no—
1658C4—24no—
1659C4—24no—
1660C4—24no—
1661C4—24no—
1662C4—24no—
1663C4—21no—
1664C4—21no—
1665C4—792no—
1666C4—792no—
1667C4—1581no—
1668C4—1584no—
1669C4—1584no—
1670C4—1581no—
1671C4—1581no—
1672C4—1584no—
1673C4—1584no—
1674C4—1584no—
1675C4—1581no—
1676C4—1584no—
1677C42−1+4×D7912yes—
1678C4C2×#1457920812yes—
1679C4C2×#1457920812yes—
1680C2—22no—
1681C2—44no—
1682C2—3161no—
1683C2—1582no—
1684C2C2×2−1+4×D7911yescharacteristic
1685C2C22×#1457920811yescharacteristic
1686C2#585×D7911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3507C2
prime radical#23776695C2
hypercenter#3507D79
hypocenterC79#62837
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3507

Complements

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

NH ≅ G/Ntype
1. #23778008C2semidirect
2. #23778007C2semidirect
3. #23777892C2semidirect
4. #23777891C2semidirect
5. #23777887C2semidirect
6. #23777876C2semidirect
7. #23777812C2semidirect
8. #23777647C2semidirect
9. #23777495C2semidirect
10. #23777494C2semidirect
11. #23777285C2semidirect
12. #23777280C2semidirect
13. #23777278C2semidirect
14. #23777262C2semidirect
15. #23777257C2semidirect
16. #23777214C2semidirect
17. #23777213C2semidirect
18. #23777210C2semidirect
19. #23777205C2semidirect
20. #23777204C2semidirect
21. #23777153C2semidirect
22. #23777149C2semidirect
23. #23777140C2semidirect
25. C2×#19099117C2semidirect
26. #533×D79C2semidirect
27. C79×#3507C2semidirect
28. C79⋊#564C22semidirect
29. #19099316C22semidirect
32. #19099299C22semidirect
33. Q8×Dic158C22semidirect
34. Q8×Dic158C22semidirect
35. Q8×Dic158C22semidirect
36. Q8×Dic158C22semidirect
37. #19099293C22semidirect
38. #19099292C22semidirect
39. #19099292C22semidirect
40. #19099292C22semidirect
41. #19099291C22semidirect
42. #19099291C22semidirect
43. #19099291C22semidirect
44. #19099290C22semidirect
45. #19099290C22semidirect
46. #19099290C22semidirect
47. #19099290C22semidirect
48. #19099289C22semidirect
49. #19099289C22semidirect
50. #19099289C22semidirect
51. #19099288C22semidirect
52. #19099288C22semidirect
53. #19099288C22semidirect
54. #19099288C22semidirect
56. #19099283C22semidirect
57. #19099283C22semidirect
58. #19099282C22semidirect
59. #19099282C22semidirect
60. #19099282C22semidirect
61. #19099282C22semidirect
62. #19099282C22semidirect
66. #19099272C22semidirect
68. #19099270C22semidirect
72. #19099253C22semidirect
78. #19099250C22semidirect
87. D4×Dic158C22semidirect
88. D4×Dic158C22semidirect
92. #19099194C22semidirect
96. #19099192C22semidirect
98. #19099191C22semidirect
104. #19099175C22semidirect
106. #19099173C22semidirect
107. #19099173C22semidirect
108. #19099173C22semidirect
112. #19099170C22semidirect
113. #19099170C22semidirect
114. #19099170C22semidirect
115. #19099170C22semidirect
142. #19099116C22semidirect
146. #19099115C22semidirect
147. #19099115C22semidirect
151. C2×#14579160C22semidirect
178. #19099040C22semidirect
190. #559×C79C22semidirect
191. #557×C79C22semidirect
192. #556×C79C22semidirect
193. #556×C79C22semidirect
194. #554×C79C22semidirect
195. #552×C79C22semidirect
859. #3507D79semidirect
871. C79#62837semidirect
877. #559C2×D79semidirect
900. #557C2×D79semidirect
911. #556C2×D79semidirect
912. #556C2×D79semidirect
918. #554C2×D79semidirect
933. #552C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780082
#237780072
#237778922
#237778912
#237778872
#237778762
#237778122
#237776472
#237774952
#237774942
#237772852
#237772802
#237772782
#237772622
#237772572
#237772142
#237772132
#237772102
#237772052
#237772042
#237771532
#237771492
#237771402
#237766952
C2×#190991172
#533×D792
C79×#35072
#6283779