Finite Group Databasebeta

← #35197195

Subgroups — #35197195

Order 20224.

7148 conjugacy classes of subgroups.

The subgroup lattice has 1896 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777966C214yesmaximal, complemented
2#23777933C214yesmaximal, complemented
3#23777874C212yesmaximal, complemented
4#23777872C212yesmaximal, complemented
5#23777806C212yesmaximal, complemented
6#23777799C212yesmaximal, complemented
7#23777786C214yesmaximal, complemented
8#23777628C214yesmaximal, complemented
9#23777486C212yesmaximal, complemented
10#23777484C212yesmaximal, complemented
11#23777445C214yesmaximal, complemented
12#23777313C212yesmaximal, complemented
13#23777312C212yesmaximal, complemented
14#23777312C212yesmaximal, complemented
15#23777277C211yesmaximal, characteristic, complemented
16#23777276C211yesmaximal, characteristic, complemented
17#23777266C212yesmaximal, complemented
18#23777245C212yesmaximal, complemented
19#23777216C211yesmaximal, characteristic, complemented
20#23777202C212yesmaximal, complemented
21#23777183C212yesmaximal, complemented
22#23777170C212yesmaximal, complemented
23#23777138C212yesmaximal, complemented
24#23777136C212yesmaximal, complemented
25#23777077C214yesmaximal, complemented
26#23776693C211yesmaximal, characteristic, complemented
27#533×D79C211yesmaximal, characteristic, complemented
28C2×#19099114C211yesmaximal, characteristic, complemented
29C79×#3503C211yesmaximal, characteristic, complemented
30C2×#14579209C2214yescomplemented
31C22×#11929625C2212yes—
32#19099312C2218yescomplemented
33#19099311C2218yescomplemented
34#19099309C2218yescomplemented
35#19099309C2218yescomplemented
36#19099298C2212yescomplemented
37#19099298C2212yescomplemented
38#19099298C2212yescomplemented
39#19099298C2214yescomplemented
40#19099298C2212yescomplemented
41#19099296C2214yescomplemented
42#19099293C2212yescomplemented
43#19099288C2212yescomplemented
44#19099287C2214yescomplemented
45#19099285C2214yescomplemented
46#19099285C2214yescomplemented
47#19099285C2214yescomplemented
48#19099279C2214yescomplemented
49#19099276C2214yescomplemented
50#19099276C2214yescomplemented
51#19099274C2212yescomplemented
52#19099274C2214yescomplemented
53#19099274C2214yescomplemented
54#19099269C2214yescomplemented
55#19099269C2214yescomplemented
56#19099269C2214yescomplemented
57#19099269C2214yescomplemented
58#19099268C2214yes—
59#19099266C2214yescomplemented
60#19099266C2214yescomplemented
61#19099261C2214yescomplemented
62#19099261C2214yescomplemented
63#19099257C2214yescomplemented
64#19099257C2214yescomplemented
65#19099245C2218yescomplemented
66#19099242C2218yes—
67#19099240C2218yes—
68#19099235C2212yescomplemented
69#19099235C2212yescomplemented
70#19099234C2214yescomplemented
71#19099234C2212yescomplemented
72#19099234C2212yescomplemented
73#19099228C2214yescomplemented
74#19099228C2214yescomplemented
75#19099228C2212yescomplemented
76#19099228C2214yescomplemented
77Q8×C22⋊D79C2214yes—
78#19099225C2214yescomplemented
79#19099225C2214yescomplemented
80#19099224C2214yescomplemented
81#19099224C2214yescomplemented
82#19099223C2214yescomplemented
83#19099223C2214yescomplemented
84#19099223C2218yescomplemented
85#19099216C2214yescomplemented
86#19099216C2218yescomplemented
87#19099216C2214yescomplemented
88#19099216C2214yescomplemented
89#19099215C2214yescomplemented
90#19099215C2214yescomplemented
91#19099215C2218yescomplemented
92#19099214C2214yescomplemented
93#19099214C2214yescomplemented
94#19099214C2214yescomplemented
95#19099214C2214yescomplemented
96#19099209C2218yes—
97#19099209C2214yes—
98#19099209C2214yes—
99#19099204C2218yes—
100#19099204C2214yes—
101#19099204C2214yes—
102#19099194C2212yes—
103#19099190C2214yescomplemented
104#19099188C2218yes—
105#19099187C2214yescomplemented
106#19099187C2214yescomplemented
107#19099187C2214yescomplemented
108#19099187C2218yescomplemented
109#19099186C2214yescomplemented
110#19099186C2214yescomplemented
111#19099185C2214yescomplemented
112#19099185C2214yescomplemented
113#19099185C2214yescomplemented
114#19099183C2218yescomplemented
115#19099169C2214yescomplemented
116#19099169C2214yescomplemented
117#19099168C2214yescomplemented
118#19099164C2214yescomplemented
119#19099161C2218yescomplemented
120#19099161C2218yescomplemented
121#19099159C2218yescomplemented
122#19099146C2218yes—
123#19099144C2214yescomplemented
124#19099143C2214yescomplemented
125#19099143C2218yescomplemented
126#19099143C2214yescomplemented
127#19099143C2218yescomplemented
128#19099138C2218yescomplemented
129#19099138C2214yescomplemented
130#19099138C2214yescomplemented
131#19099137C2214yescomplemented
132#19099132C2212yes—
133#19099127C2212yes—
134#19099120C2211yescharacteristic
135#19099119C2212yescomplemented
136#19099118C2211yescharacteristic, complemented
137#19099118C2212yescomplemented
138#19099118C2211yescharacteristic, complemented
139#19099117C2212yescomplemented
140#19099117C2211yescharacteristic, complemented
141#19099117C2212yescomplemented
142#19099117C2211yescharacteristic, complemented
143#19099116C2212yes—
144#19099116C2211yescharacteristic
145#19099115C2212yes—
146#19099115C2212yes—
147#19099114C2212yes—
148#19099114C2212yes—
149#19099114C2212yes—
150#19099114C2212yes—
151#19099114C2212yes—
152#19099114C2212yes—
153#19099114C2212yes—
154#19099114C2212yes—
155#19099114C2212yescomplemented
156#19099114C2212yescomplemented
157#19099114C2214yescomplemented
158#19099113C2212yescomplemented
159#19099113C2212yescomplemented
160#19099110C2211yescharacteristic, complemented
161#19099110C2214yescomplemented
162#19099110C2211yescharacteristic, complemented
163#19099109C2211yescharacteristic
164C4⋊Q8×D79C2211yescharacteristic, complemented
165C4⋊Q8×D79C2212yescomplemented
166C4⋊Q8×D79C2211yescharacteristic, complemented
167C2×#14579158C2211yescharacteristic
168#19099100C2211yescharacteristic, complemented
169#19099100C2214yescomplemented
170#19099100C2211yescharacteristic, complemented
171#19099098C2214yescomplemented
172#19099095C2211yescharacteristic, complemented
173#19099095C2211yescharacteristic, complemented
174#19099093C2212yes—
175#19099093C2212yes—
176#19099091C2212yescomplemented
177#19099091C2212yescomplemented
178#125×D79C2212yescomplemented
179C2×#14579150C2212yes—
180#19099075C2211yescharacteristic
181#19099072C2212yes—
182#19099072C2218yes—
183#19099072C2212yes—
184#19099070C2211yescharacteristic
185C22⋊Q8×D79C2212yes—
186C22⋊Q8×D79C2218yes—
187C22⋊Q8×D79C2212yes—
188C2×#14579136C2212yes—
189C2×#14579136C2212yes—
190#19099045C2214yescomplemented
191#19099045C2214yescomplemented
192#19099044C2212yes—
193#19099044C2214yescomplemented
194#19099037C2212yes—
195#19099037C2212yes—
196C4×#11929624C2211yescharacteristic
197C4×#11929624C2212yescomplemented
198C4×#11929624C2212yescomplemented
199C4×Q8×D79C2212yescomplemented
200C4×Q8×D79C2212yescomplemented
201C2×#14579123C2212yes—
202C2×#14579123C2212yes—
203#117×D79C2212yes—
204C2×C42×D79C2211yescharacteristic
205Q82×C79C2212yescomplemented
206#557×C79C2212yescomplemented
207#554×C79C2214yes—
208#554×C79C2212yescomplemented
209D4×Q8×C79C2214yes—
210D4×Q8×C79C2212yescomplemented
211#544×C79C2212yes—
212#544×C79C2214yescomplemented
213#533×C79C2211yescharacteristic
214#533×C79C2212yescomplemented
215C2×C4⋊Q8×C79C2211yescharacteristic
216C2×C4⋊Q8×C79C2212yescomplemented
217#520×C79C2212yes—
218C4×#41×C79C2211yescharacteristic
219#14579209—416no—
220C2×#11929625—48no—
221C2×#11929625C2314yes—
222C2×#11929625C2314yes—
223C2×#11929625C2314yes—
224C2×#11929625C2318yes—
225C2×#11929625C2314yes—
226C2×#11929625C2314yes—
227C2×#11929625C2314yes—
228C2×#11929624C2312yes—
229C2×#11929624C2311yescharacteristic
230C2×#11929624C2314yes—
231C2×#11929624C2318yes—
232C2×#11929624C2318yes—
233C2×#11929624C2312yes—
234C2×#11929624C2314yes—
235C2×Q8×D79C2312yes—
236C2×Q8×D79C2314yes—
237C2×Q8×D79C2318yes—
238C2×Q8×D79C2312yes—
239C22×D316C2312yes—
240C22×D316C2312yes—
241C22×D316C2314yes—
242C22×D316C2312yes—
243C22×C4×D79C2311yescharacteristic
244C22×C4×D79C2311yescharacteristic
245C22×C4×D79C2311yescharacteristic
246C22×C4×D79C2314yes—
247#14579161C2311yescharacteristic
248#14579161C2311yescharacteristic
249#14579160C2312yes—
250#14579160C2314yes—
251#14579160C2314yes—
252#14579160C2314yes—
253#14579160C2312yes—
254#14579160C2312yes—
255#14579160C2311yescharacteristic
256#14579160C2311yescharacteristic
257#14579160C2312yes—
258#14579159C2312yes—
259#14579159C2314yes—
260#14579159C2318yes—
261#14579159C2312yes—
262#14579159C2311yescharacteristic
263#14579158C2312yes—
264#14579158C2314yes—
265#14579158C2312yes—
266#14579158C2312yes—
267#14579158C2312yes—
268#14579157C2314yes—
269#14579157C2311yescharacteristic
270#14579156C2318yes—
271#14579156C2318yes—
272#14579156C2312yes—
273#14579156C2318yes—
274#14579156C2312yes—
275#14579156C2318yes—
276#14579155C2318yes—
277#14579155C2318yes—
278#14579154C2312yes—
279#14579154C2312yes—
280#14579153C2312yes—
281#14579152C2314yes—
282#14579152C2314yes—
283#14579152C2312yes—
284#14579152C2312yes—
285#14579152C2311yescharacteristic
286#14579152C2311yescharacteristic
287#14579151C2314yes—
288#14579151C2318yes—
289#14579151C2312yes—
290#14579151C2314yes—
291#14579151C2312yes—
292#14579150C2314yes—
293#14579150C2314yes—
294#14579150C2318yes—
295#14579150C2314yes—
296#14579150C2314yes—
297#14579150C2314yes—
298#14579150C2318yes—
299#14579150C2314yes—
300#14579150C2311yescharacteristic
301#14579150C2314yes—
302#14579149C2314yes—
303#14579149C2318yes—
304#14579149C2318yes—
305#14579149C2314yes—
306#14579149C2314yes—
307#14579148C2311yescharacteristic
308#14579147C2318yes—
309#14579147C2318yes—
310#14579147C2312yes—
311#14579147C2312yes—
312#14579146C2318yes—
313#14579146C2318yes—
314#14579146C2318yes—
315#14579146C2318yes—
316#14579146C2318yes—
317#14579146C2318yes—
318#14579146C2318yes—
319#14579146C2318yes—
320#14579146C2318yes—
321#14579146C2318yes—
322#14579146C2318yes—
323#14579146C2318yes—
324#14579146C2312yes—
325#14579146C2312yes—
326#14579145C2312yes—
327#14579144C2318yes—
328#14579144C2318yes—
329#14579143C2318yes—
330#14579143C2318yes—
331#14579143C2312yes—
332#14579143C2312yes—
333#14579142C2312yes—
334#14579141C2312yes—
335#14579141C2318yes—
336#14579141C2314yes—
337#14579141C2318yes—
338#14579141C2318yes—
339#14579141C2311yescharacteristic
340#14579141C2312yes—
341#14579141C2311yescharacteristic
342#14579140C2318yes—
343#14579140C2312yes—
344#14579140C2312yes—
345#14579139C2312yes—
346#14579139C2314yes—
347#14579139C2318yes—
348#14579139C2318yes—
349#14579139C2318yes—
350#14579139C2318yes—
351#14579139C2318yes—
352#14579139C2318yes—
353#14579139C2318yes—
354#14579139C2318yes—
355#14579139C2312yes—
356#14579139C2318yes—
357#14579139C2314yes—
358#14579138C2314yes—
359#14579138C2312yes—
360#14579138C2312yes—
361#14579138C2314yes—
362#14579137C2318yes—
363#14579137C2318yes—
364#14579137C2312yes—
365#14579137C2314yes—
366#14579137C2318yes—
367#14579137C2318yes—
368#14579137C2318yes—
369#14579137C2311yescharacteristic
370#14579137C2312yes—
371#14579137C2311yescharacteristic
372#14579136C2314yes—
373#14579136C2318yes—
374#14579136C2318yes—
375#14579136C2318yes—
376#14579136C2314yes—
377#14579136C2318yes—
378#14579136C2318yes—
379#14579136C2314yes—
380#14579136C2314yes—
381#14579136C2314yes—
382#14579136C2311yescharacteristic
383#14579136C2314yes—
384#14579136C2314yes—
385#14579136C2314yes—
386#14579136C2314yes—
387#14579136C2314yes—
388#14579136C2314yes—
389#14579136C2314yes—
390#14579136C2311yescharacteristic
391#14579135C2318yes—
392#14579135C2318yes—
393#14579135C2314yes—
394#14579135C2314yes—
395#14579135C2314yes—
396#14579135C2314yes—
397#14579134C2312yes—
398#14579134C2312yes—
399#14579134C2318yes—
400#14579134C2318yes—
401#14579134C2318yes—
402#14579134C2318yes—
403#14579134C2318yes—
404#14579134C2318yes—
405#14579133C2312yes—
406#14579133C2312yes—
407#14579132C2311yescharacteristic
408#14579132C2311yescharacteristic
409#14579131C2318yes—
410#14579131C2312yes—
411#14579129C2318yes—
412#14579129C2312yes—
413Q8×Dic79C2312yes—
414Q8×Dic79C2314yes—
415Q8×Dic79C2312yes—
416C4×Dic158C2312yes—
417C4×Dic158C2312yes—
418C4×Dic158C2314yes—
419C4×Dic158C2312yes—
420C4×Dic158C2312yes—
421C4×Dic158C2312yes—
422C4×Dic158C2314yes—
423C4×Dic158C2312yes—
424C4×Dic158C2311yescharacteristic
425C4×Dic158C2311yescharacteristic
426#14579126C2314yes—
427#14579126C2312yes—
428#14579126C2314yes—
429#14579126C2314yes—
430#14579126C2314yes—
431#14579126C2312yes—
432C4×D316C2318yes—
433C4×D316C2318yes—
434C4×D316C2314yes—
435C4×D316C2314yes—
436C4×D316C2314yes—
437C4×D316C2314yes—
438C4×D316C2314yes—
439C4×D316C2314yes—
440C4×D316C2312yes—
441C4×D316C2312yes—
442C4×D316C2312yes—
443C4×D316C2311yescharacteristic
444C4×D316C2311yescharacteristic
445C4×D316C2312yes—
446#14579123C2314yes—
447#14579123C2318yes—
448#14579123C2314yes—
449#14579123C2314yes—
450#14579123C2314yes—
451#14579123C2314yes—
452#14579123C2314yes—
453#14579123C2314yes—
454#14579123C2314yes—
455#14579123C2318yes—
456#14579123C2314yes—
457#14579123C2314yes—
458#14579123C2314yes—
459#14579123C2314yes—
460#14579123C2314yes—
461#14579123C2314yes—
462#14579123C2314yes—
463C4×C22⋊D79C2318yes—
464C4×C22⋊D79C2318yes—
465C4×C22⋊D79C2318yes—
466C4×C22⋊D79C2312yes—
467C4×C22⋊D79C2312yes—
468C4×C22⋊D79C2312yes—
469C4×C22⋊D79C2312yes—
470C4×C22⋊D79C2312yes—
471C4×C22⋊D79C2312yes—
472C4×C22⋊D79C2312yes—
473C4×C22⋊D79C2312yes—
474C4×C22⋊D79C2312yes—
475C4×C22⋊D79C2312yes—
476#14579120C2312yes—
477#14579120C2312yes—
478#14579120C2311yescharacteristic
479#14579120C2312yes—
480#14579119C2318yes—
481#14579119C2314yes—
482#14579119C2312yes—
483#14579119C2312yes—
484#14579118C2312yes—
485#14579118C2312yes—
486#14579118C2318yes—
487#14579118C2314yes—
488#14579118C2312yes—
489#14579118C2312yes—
490#14579118C2312yes—
491#14579118C2318yes—
492#14579117C2314yes—
493C4⋊C4×D79C2314yes—
494C4⋊C4×D79C2312yes—
495C4⋊C4×D79C2314yes—
496C4⋊C4×D79C2318yes—
497C4⋊C4×D79C2318yes—
498C4⋊C4×D79C2318yes—
499C4⋊C4×D79C2314yes—
500C4⋊C4×D79C2312yes—
501C4⋊C4×D79C2312yes—
502C4⋊C4×D79C2314yes—
503C4⋊C4×D79C2312yes—
504C2×(C2×D79)⋊C4C2314yes—
505C2×(C2×D79)⋊C4C2314yes—
506C22⋊C4×D79C2318yes—
507C22⋊C4×D79C2318yes—
508C22⋊C4×D79C2314yes—
509C2×C4×Dic79C2311yescharacteristic
510C2×C4×Dic79C2311yescharacteristic
511C2×C4×Dic79C2311yescharacteristic
512C42×D79C2311yescharacteristic
513C42×D79C2311yescharacteristic
514C42×D79C2311yescharacteristic
515C42×D79C2311yescharacteristic
516C42×D79C2311yescharacteristic
517C42×D79C2311yescharacteristic
518C42×D79C2311yescharacteristic
519C42×D79C2311yescharacteristic
520C42×D79C2314yes—
521C42×D79C2312yes—
522C2×#41×C79C2311yescharacteristic
523C22×Q8×C79C2314yes—
524C22×Q8×C79C2312yes—
525C4⋊Q8×C79C2314yes—
526C4⋊Q8×C79C2318yes—
527C4⋊Q8×C79C2314yes—
528C4⋊Q8×C79C2314yes—
529C4⋊Q8×C79C2312yes—
530C4⋊Q8×C79C2314yes—
531C4⋊Q8×C79C2312yes—
532C4⋊Q8×C79C2312yes—
533C4⋊Q8×C79C2312yes—
534C4⋊Q8×C79C2311yescharacteristic
535C4⋊Q8×C79C2311yescharacteristic
536#125×C79C2318yes—
537#125×C79C2312yes—
538#125×C79C2314yes—
539#125×C79C2314yes—
540C22⋊Q8×C79C2318yes—
541C22⋊Q8×C79C2318yes—
542C22⋊Q8×C79C2314yes—
543C22⋊Q8×C79C2314yes—
544C22⋊Q8×C79C2318yes—
545C22⋊Q8×C79C2312yes—
546C22⋊Q8×C79C2312yes—
547C4×Q8×C79C2314yes—
548C4×Q8×C79C2314yes—
549C4×Q8×C79C2314yes—
550C4×Q8×C79C2312yes—
551C4×Q8×C79C2312yes—
552C4×Q8×C79C2311yescharacteristic
553C4×Q8×C79C2311yescharacteristic
554C4×D4×C79C2318yes—
555C4×D4×C79C2314yes—
556C4×D4×C79C2312yes—
557C4×D4×C79C2312yes—
558C4×D4×C79C2311yescharacteristic
559C4×D4×C79C2311yescharacteristic
560#117×C79C2312yes—
561#117×C79C2311yescharacteristic
562#117×C79C2312yes—
563#117×C79C2314yes—
564C2×C4⋊C4×C79C2314yes—
565C2×C4⋊C4×C79C2312yes—
566C2×C4⋊C4×C79C2314yes—
567C2×C4⋊C4×C79C2312yes—
568C2×C42×C79C2311yescharacteristic
569C2×C42×C79C2312yes—
570C23×D79C2411yescharacteristic
571C23×D79C2414yes—
572#11929625—216no—
573#11929625—48no—
574#11929625—48no—
575#11929625—48no—
576#11929625—48no—
577#11929625—48no—
578#11929625—416no—
579#11929624—28no—
580#11929624—24no—
581#11929624—416no—
582#11929624—416no—
583#11929624—48no—
584#11929624—48no—
585#11929624—44no—
586C2×Dic158C2412yes—
587C2×Dic158C2414yes—
588C2×Dic158C2412yes—
589C2×Dic158C2412yes—
590C2×Dic158C2411yescharacteristic
591C2×Dic158C2418yes—
592C2×Dic158C2414yes—
593C2×Dic158C2412yes—
594Q8×D79—28no—
595Q8×D79—44no—
596Q8×D79—48no—
597Q8×D79—416no—
598C2×D316—28no—
599C2×D316—44no—
600C2×D316—44no—
601C2×D316—48no—
602C2×D316C2412yes—
603C2×D316C2418yes—
604C2×D316C2414yes—
605C2×D316C2414yes—
606C2×D316C2411yescharacteristic
607C2×D316C2414yes—
608C2×D316C2414yes—
609C2×D316C2418yes—
610C2×D316C2412yes—
611C2×D316C2414yes—
612C2×D316C2418yes—
613C2×D316C2418yes—
614C2×D316C2414yes—
615C2×C22⋊D79C2412yes—
616C2×C22⋊D79C2412yes—
617C2×C22⋊D79C2412yes—
618C2×C22⋊D79C2418yes—
619C2×C22⋊D79C2412yes—
620C2×C22⋊D79C2418yes—
621C2×C22⋊D79C2412yes—
622C22×Dic79C2411yescharacteristic
623C22×Dic79C2411yescharacteristic
624C22×Dic79C2411yescharacteristic
625C2×C4×D79—24no—
626C2×C4×D79—24no—
627C2×C4×D79—42no—
628C2×C4×D79—48no—
629C2×C4×D79C2412yes—
630C2×C4×D79C2411yescharacteristic
631C2×C4×D79C2414yes—
632C2×C4×D79C2418yes—
633C2×C4×D79C2411yescharacteristic
634C2×C4×D79C2412yes—
635C2×C4×D79C2412yes—
636C2×C4×D79C2411yescharacteristic
637C2×C4×D79C2411yescharacteristic
638C2×C4×D79C2411yescharacteristic
639C2×C4×D79C2411yescharacteristic
640C2×C4×D79C2411yescharacteristic
641C2×C4×D79C2411yescharacteristic
642C2×C4×D79C2411yescharacteristic
643C2×C4×D79C2418yes—
644C2×C4×D79C2418yes—
645C2×C4×D79C2418yes—
646C2×C4×D79C2414yes—
647C2×C4×D79C2418yes—
648C2×C4×D79C2418yes—
649C2×C4×D79C2418yes—
650C2×C4×D79C2411yescharacteristic
651C2×C4×D79C2411yescharacteristic
652C2×C4×D79C2411yescharacteristic
653C4⋊Dic79C2412yes—
654C4⋊Dic79C2412yes—
655C4⋊Dic79C2412yes—
656C4⋊Dic79C2414yes—
657C4⋊Dic79C2412yes—
658C4⋊Dic79C2412yes—
659C4⋊Dic79C2418yes—
660C4⋊Dic79C2414yes—
661C4⋊Dic79C2412yes—
662C4⋊Dic79C2411yescharacteristic
663C4⋊Dic79C2411yescharacteristic
664C4⋊Dic79C2412yes—
665C4⋊Dic79C2412yes—
666Dic79⋊C4C2412yes—
667Dic79⋊C4C2412yes—
668Dic79⋊C4C2414yes—
669Dic79⋊C4C2414yes—
670Dic79⋊C4C2418yes—
671Dic79⋊C4C2414yes—
672Dic79⋊C4C2414yes—
673Dic79⋊C4C2418yes—
674Dic79⋊C4C2418yes—
675Dic79⋊C4C2414yes—
676Dic79⋊C4C2414yes—
677Dic79⋊C4C2414yes—
678Dic79⋊C4C2414yes—
679Dic79⋊C4C2412yes—
680Dic79⋊C4C2412yes—
681Dic79⋊C4C2412yes—
682Dic79⋊C4C2412yes—
683Dic79⋊C4C2412yes—
684Dic79⋊C4C2412yes—
685Dic79⋊C4C2412yes—
686Dic79⋊C4C2412yes—
687C22⋊Dic79C2412yes—
688C22⋊Dic79C2414yes—
689C22⋊Dic79C2412yes—
690C22⋊Dic79C2412yes—
691C22⋊Dic79C2412yes—
692C22⋊Dic79C2412yes—
693(C2×D79)⋊C4C2414yes—
694(C2×D79)⋊C4C2414yes—
695(C2×D79)⋊C4C2418yes—
696(C2×D79)⋊C4C2418yes—
697(C2×D79)⋊C4C2418yes—
698(C2×D79)⋊C4C2418yes—
699(C2×D79)⋊C4C2418yes—
700(C2×D79)⋊C4C2418yes—
701(C2×D79)⋊C4C2418yes—
702(C2×D79)⋊C4C2418yes—
703(C2×D79)⋊C4C2412yes—
704(C2×D79)⋊C4C2412yes—
705(C2×D79)⋊C4C2412yes—
706(C2×D79)⋊C4C2412yes—
707(C2×D79)⋊C4C2412yes—
708(C2×D79)⋊C4C2412yes—
709(C2×D79)⋊C4C2412yes—
710(C2×D79)⋊C4C2412yes—
711(C2×D79)⋊C4C2412yes—
712(C2×D79)⋊C4C2412yes—
713(C2×D79)⋊C4C2418yes—
714(C2×D79)⋊C4C2418yes—
715(C2×D79)⋊C4C2418yes—
716(C2×D79)⋊C4C2418yes—
717(C2×D79)⋊C4C2418yes—
718C4×Dic79C2411yescharacteristic
719C4×Dic79C2411yescharacteristic
720C4×Dic79C2411yescharacteristic
721C4×Dic79C2411yescharacteristic
722C4×Dic79C2411yescharacteristic
723C4×Dic79C2411yescharacteristic
724C4×Dic79C2411yescharacteristic
725C4×Dic79C2411yescharacteristic
726C4×Dic79C2411yescharacteristic
727C4×Dic79C2411yescharacteristic
728C4×Dic79C2411yescharacteristic
729C4×Dic79C2411yescharacteristic
730C4×Dic79C2414yes—
731C4×Dic79C2414yes—
732C4×Dic79C2412yes—
733C4×Dic79C2412yes—
734C4×Dic79C2412yes—
735C4×Dic79C2414yes—
736C4×Dic79C2418yes—
737#41×C79—24no—
738C2×Q8×C79—44no—
739C2×Q8×C79—48no—
740C2×Q8×C79C2412yes—
741C2×Q8×C79C2412yes—
742C2×Q8×C79C2414yes—
743C2×Q8×C79C2411yescharacteristic
744C2×Q8×C79C2418yes—
745C2×Q8×C79C2414yes—
746C2×D4×C79C2412yes—
747C2×D4×C79C2411yescharacteristic
748C22×C4×C79C2412yes—
749C22×C4×C79C2412yes—
750C22×C4×C79C2412yes—
751C22×C4×C79C2411yescharacteristic
752C22×C4×C79C2411yescharacteristic
753C22×C4×C79C2418yes—
754C22×C4×C79C2414yes—
755C22×C4×C79C2411yescharacteristic
756C4⋊C4×C79C2414yes—
757C4⋊C4×C79C2412yes—
758C4⋊C4×C79C2412yes—
759C4⋊C4×C79C2414yes—
760C4⋊C4×C79C2414yes—
761C4⋊C4×C79C2418yes—
762C4⋊C4×C79C2418yes—
763C4⋊C4×C79C2414yes—
764C4⋊C4×C79C2412yes—
765C4⋊C4×C79C2411yescharacteristic
766C4⋊C4×C79C2412yes—
767C4⋊C4×C79C2411yescharacteristic
768C4⋊C4×C79C2412yes—
769C4⋊C4×C79C2412yes—
770C4⋊C4×C79C2418yes—
771C4⋊C4×C79C2414yes—
772C4⋊C4×C79C2418yes—
773C4⋊C4×C79C2414yes—
774C22⋊C4×C79C2412yes—
775C22⋊C4×C79C2414yes—
776C22⋊C4×C79C2412yes—
777C22⋊C4×C79C2412yes—
778C22⋊C4×C79C2418yes—
779C42×C79C2411yescharacteristic
780C42×C79C2411yescharacteristic
781C42×C79C2412yes—
782C42×C79C2411yescharacteristic
783C42×C79C2411yescharacteristic
784C42×C79C2412yes—
785C42×C79C2412yes—
786C42×C79C2414yes—
787C42×C79C2418yes—
788C23×C79C2512yes—
789C23×C79C2511yescharacteristic
790C22×D79—22no—
791C22×D79—28no—
792C22×D79—22no—
793C22×D79—41no—
794C22×D79—44no—
795C22×D79—44no—
796C22×D79C2518yes—
797C22×D79C2511yescharacteristic
798C22×D79C2512yes—
799C22×D79C2511yescharacteristic
800Q8×C79—24no—
801Q8×C79—28no—
802Q8×C79—22no—
803Q8×C79—24no—
804Q8×C79—48no—
805Q8×C79—44no—
806D4×C79—24no—
807D4×C79—22no—
808C2×C4×C79—22no—
809C2×C4×C79—24no—
810C2×C4×C79—24no—
811C2×C4×C79—22no—
812C2×C4×C79—24no—
813C2×C4×C79—44no—
814C2×C4×C79—48no—
815C2×C4×C792−1+414yescomplemented
816C2×C4×C79C2511yescharacteristic
817C2×C4×C79C2511yescharacteristic
818C2×C4×C79C2514yes—
819C2×C4×C79C2514yes—
820C2×C4×C79C2518yes—
821C2×C4×C79C2512yes—
822C2×C4×C79C2512yes—
823C2×C4×C79C2512yes—
824C2×C4×C79C2511yescharacteristic
825C2×C4×C79C2511yescharacteristic
826C2×C4×C79C2511yescharacteristic
827C2×C4×C79C2511yescharacteristic
828C22⋊D79—24no—
829C22⋊D79—24no—
830C22⋊D79—24no—
831C22⋊D79—48no—
832C22⋊D79—42no—
833C22⋊D79—42no—
834C22⋊D79—48no—
835C2×Dic79—22no—
836C2×Dic79—22no—
837C2×Dic79—41no—
838C2×Dic79C2511yescharacteristic
839C2×Dic79C2512yes—
840C2×Dic79C2511yescharacteristic
841C2×Dic79C2511yescharacteristic
842C2×Dic79C2511yescharacteristic
843C2×Dic79C2514yes—
844C2×Dic79C2511yescharacteristic
845C2×Dic79C2512yes—
846C2×Dic79C2512yes—
847C2×Dic79C2514yes—
848C2×Dic79C2511yescharacteristic
849D316—216no—
850D316—24no—
851D316—28no—
852D316—28no—
853D316—28no—
854D316—22no—
855D316—28no—
856D316—44no—
857D316—44no—
858D316—48no—
859D316—42no—
860D316—48no—
861D316—48no—
862C4×D79—22no—
863C4×D79—28no—
864C4×D79—22no—
865C4×D79—24no—
866C4×D79—22no—
867C4×D79—22no—
868C4×D79—22no—
869C4×D79—22no—
870C4×D79—24no—
871C4×D79—22no—
872C4×D79—22no—
873C4×D79—24no—
874C4×D79—22no—
875C4×D79—216no—
876C4×D79—41no—
877C4×D79—41no—
878C4×D79—48no—
879C4×D79—44no—
880C4×D79—48no—
881C4×D79—48no—
882C4×D79—48no—
883C4×D79—48no—
884C4×D79—48no—
885C4×D79H(5,𝔽2)14yes—
886Dic158—24no—
887Dic158—22no—
888Dic158—24no—
889Dic158—28no—
890Dic158—24no—
891Dic158—48no—
892Dic158—44no—
893Dic158—42no—
894C22×C79—21no—
895C22×C79—21no—
896C22×C79—22no—
897C22×C79—22no—
898C22×C79—22no—
899C22×C79C2×2−1+412yes—
900C22×C79C2611yescharacteristic
901C2×D79—21no—
902C2×D79—21no—
903C2×D79—22no—
904C2×D79—28no—
905C2×D79—21no—
906C2×D79—22no—
907C2×D79—21no—
908C2×D79—28no—
909C2×D79—21no—
910C2×D79—28no—
911C2×D79—22no—
912C2×D79—44no—
913C2×D79—88no—
914C2×D79C2×H(5,𝔽2)12yes—
915C4×C79—22no—
916C4×C79—21no—
917C4×C79—24no—
918C4×C79—28no—
919C4×C79—22no—
920C4×C79—22no—
921C4×C79—21no—
922C4×C79—24no—
923C4×C79C2×H(5,𝔽2)12yes—
924C4×C79C2×2−1+412yes—
925C4×C79C2×2−1+412yes—
926C4×C79#58512yes—
927Dic79—22no—
928Dic79—24no—
929Dic79—21no—
930Dic79—22no—
931Dic79—21no—
932Dic79—21no—
933Dic79—24no—
934Dic79—21no—
935Dic79—22no—
936Dic79—21no—
937Dic79C2×H(5,𝔽2)12yes—
938#62835—791nomaximal, Sylow
939C2×C79—22no—
940C2×C79—42no—
941C2×C79C22×H(5,𝔽2)11yescharacteristic
942C2×C79C22×2−1+411yescharacteristic
943C2×C79C2×#58511yescharacteristic
944D79—22no—
945D79—42no—
946D79—41no—
947D79—48no—
948#3561—794no—
949#3559—794no—
950#3554—792no—
951#3554—792no—
952#3550—792no—
953#3548—792no—
954#3547—794no—
955#3536—794no—
956#3522—792no—
957#3522—792no—
958#3520—794no—
959#3511—792no—
960#3511—792no—
961#3511—792no—
962#3508—791no—
963#3508—791no—
964#3507—792no—
965#3506—792no—
966#3503—791no—
967#3503D7911yescharacteristic, complemented
968#3501—792no—
969#3499—792no—
970#3497—792no—
971#3494—792no—
972#3494—792no—
973#3489—794no—
974#3444—791no—
975C2×#533—791no—
976C2×#532—791no—
977C79#6283511yescharacteristic, complemented, Sylow
978C2×2−1+4—794no—
979C22×#41—792no—
980#563—798no—
981#562—798no—
982#562—798no—
983#562—798no—
984#559—794no—
985#559—792no—
986#559—792no—
987#559—792no—
988#559—792no—
989#559—794no—
990Q82—792no—
991Q82C2×D7912yescomplemented
992#557—792no—
993#557C2×D7912yescomplemented
994#556—794no—
995#556—794no—
996#556—794no—
997#556—794no—
998#555—794no—
999#555—794no—
1000#555—794no—
1001#554—794no—
1002#554—794no—
1003#554—792no—
1004#554—794no—
1005#554—794no—
1006#554—794no—
1007#554—794no—
1008#554—794no—
1009#554C2×D7914yes—
1010#554C2×D7912yescomplemented
1011#553—794no—
1012#553—794no—
1013#553—794no—
1014#553—794no—
1015#553—794no—
1016#553—794no—
1017#552—798no—
1018#551—798no—
1019#551—798no—
1020#550—792no—
1021#550—792no—
1022#550—794no—
1023#550—792no—
1024#550—792no—
1025D4×Q8—794no—
1026D4×Q8—794no—
1027D4×Q8—792no—
1028D4×Q8—794no—
1029D4×Q8—794no—
1030D4×Q8C2×D7914yes—
1031D4×Q8C2×D7912yescomplemented
1032#548—794no—
1033#548—794no—
1034#548—794no—
1035#548—798no—
1036#548—794no—
1037#548—794no—
1038#548—794no—
1039#547—794no—
1040#547—798no—
1041#547—794no—
1042#547—794no—
1043#547—794no—
1044#547—798no—
1045#547—794no—
1046#547—794no—
1047#547—794no—
1048#547—794no—
1049#547—794no—
1050#546—798no—
1051#546—794no—
1052#546—794no—
1053#546—798no—
1054#546—794no—
1055#546—794no—
1056#544—794no—
1057#544—792no—
1058#544C2×D7912yes—
1059#544C2×D7914yescomplemented
1060#543—798no—
1061#542—794no—
1062#542—794no—
1063#542—794no—
1064#542—798no—
1065#542—798no—
1066#542—794no—
1067#542—794no—
1068#542—794no—
1069#542—794no—
1070#542—794no—
1071#540—794no—
1072#540—794no—
1073#540—794no—
1074#540—794no—
1075#539—798no—
1076#539—798no—
1077#539—798no—
1078#538—798no—
1079#537—794no—
1080#537—798no—
1081#537—798no—
1082#537—794no—
1083#537—794no—
1084#536—794no—
1085#536—794no—
1086#536—798no—
1087#536—794no—
1088#535—792no—
1089#535—792no—
1090#533—791no—
1091#533—791no—
1092#533—792no—
1093#533—792no—
1094#533—792no—
1095#533—792no—
1096#533—792no—
1097#533—792no—
1098#533—791no—
1099#533—791no—
1100#533—792no—
1101#533—791no—
1102#533—791no—
1103#533C2×D7911yescharacteristic
1104#533C2×D7912yescomplemented
1105#532—791no—
1106#532—792no—
1107#532—792no—
1108#532—792no—
1109#532—792no—
1110#532—792no—
1111#532—792no—
1112#532—792no—
1113#532—792no—
1114#532—794no—
1115#532—792no—
1116#532—792no—
1117#532—791no—
1118#532—791no—
1119#532—794no—
1120#532—792no—
1121#532—792no—
1122C2×C4⋊Q8—791no—
1123C2×C4⋊Q8—791no—
1124C2×C4⋊Q8—792no—
1125C2×C4⋊Q8C2×D7911yescharacteristic
1126C2×C4⋊Q8C2×D7912yescomplemented
1127C2×#127—791no—
1128#529—794no—
1129#529—791no—
1130#529—791no—
1131#529—794no—
1132#529—792no—
1133#529—791no—
1134#529—792no—
1135#529—791no—
1136#529—792no—
1137#529—792no—
1138C2×#125—792no—
1139C2×#124—792no—
1140#525—791no—
1141#525—792no—
1142#525—792no—
1143#525—798no—
1144#525—791no—
1145C2×C22⋊Q8—792no—
1146C2×C22⋊Q8—792no—
1147C2×C22⋊Q8—798no—
1148C2×#121—792no—
1149C2×#121—792no—
1150#520—794no—
1151#520—794no—
1152#520—792no—
1153#520—794no—
1154#520C2×D7912yes—
1155#518—792no—
1156#518—792no—
1157C4×#41—791no—
1158C4×#41—792no—
1159C4×#41—792no—
1160C4×#41C2×D7911yescharacteristic
1161C2×C4×Q8—792no—
1162C2×C4×Q8—792no—
1163C2×C4×D4—792no—
1164C2×C4×D4—792no—
1165C2×#117—792no—
1166C22×C42—791no—
11672−1+4—31616no—
1168C2×#41—3168no—
1169C2×#41—794no—
1170C2×#41—794no—
1171C2×#41—794no—
1172C2×#41—794no—
1173C2×#41—794no—
1174C2×#41—798no—
1175C2×#41—794no—
1176C2×#41—792no—
1177C2×#41—794no—
1178C2×#41—798no—
1179C2×#41—794no—
1180C2×#41—798no—
1181C2×#41—791no—
1182C2×#41—792no—
1183C2×#41C22×D7911yescharacteristic
1184C22×Q8—792no—
1185C22×Q8—798no—
1186C22×Q8—794no—
1187C22×Q8—792no—
1188C22×Q8C22×D7912yes—
1189C22×Q8C22×D7914yes—
1190C22×D4—792no—
1191C22×D4—794no—
1192C22×D4—792no—
1193C22×D4—792no—
1194C23×C4—794no—
1195C23×C4—791no—
1196C23×C4—791no—
1197C23×C4—791no—
1198C4⋊Q8—792no—
1199C4⋊Q8—792no—
1200C4⋊Q8—794no—
1201C4⋊Q8—791no—
1202C4⋊Q8—798no—
1203C4⋊Q8—792no—
1204C4⋊Q8—792no—
1205C4⋊Q8—792no—
1206C4⋊Q8—792no—
1207C4⋊Q8—794no—
1208C4⋊Q8—794no—
1209C4⋊Q8—791no—
1210C4⋊Q8—791no—
1211C4⋊Q8—794no—
1212C4⋊Q8—791no—
1213C4⋊Q8—791no—
1214C4⋊Q8C22×D7912yes—
1215C4⋊Q8C22×D7911yescharacteristic
1216C4⋊Q8C22×D7911yescharacteristic
1217C4⋊Q8C22×D7912yes—
1218C4⋊Q8C22×D7912yes—
1219C4⋊Q8C22×D7912yes—
1220C4⋊Q8C22×D7914yes—
1221C4⋊Q8C22×D7914yes—
1222C4⋊Q8C22×D7914yes—
1223C4⋊Q8C22×D7914yes—
1224C4⋊Q8C22×D7918yes—
1225#127—791no—
1226#127—794no—
1227#127—792no—
1228#127—792no—
1229#127—792no—
1230#127—792no—
1231#127—794no—
1232#126—792no—
1233#126—792no—
1234#126—798no—
1235#126—798no—
1236#126—798no—
1237#126—798no—
1238#126—792no—
1239#126—792no—
1240#126—798no—
1241#126—798no—
1242#125—794no—
1243#125—792no—
1244#125—792no—
1245#125—794no—
1246#125—792no—
1247#125—791no—
1248#125—791no—
1249#125—792no—
1250#125—794no—
1251#125—794no—
1252#125—798no—
1253#125—792no—
1254#125C22×D7912yes—
1255#125C22×D7914yes—
1256#125C22×D7914yes—
1257#125C22×D7918yes—
1258#124—794no—
1259#124—794no—
1260#124—794no—
1261#124—794no—
1262#124—791no—
1263#124—794no—
1264#124—794no—
1265#124—794no—
1266#124—798no—
1267#124—798no—
1268#124—791no—
1269#124—792no—
1270#124—792no—
1271#124—798no—
1272#124—798no—
1273#124—794no—
1274#124—794no—
1275#124—794no—
1276#124—798no—
1277#124—798no—
1278#123—792no—
1279#123—798no—
1280#123—798no—
1281#123—792no—
1282#123—792no—
1283#123—798no—
1284#123—798no—
1285#123—798no—
1286#123—798no—
1287#123—798no—
1288#123—798no—
1289#123—798no—
1290#123—798no—
1291#123—798no—
1292#123—798no—
1293#123—798no—
1294#123—798no—
1295#123—792no—
1296#123—792no—
1297#123—792no—
1298#123—798no—
1299#123—798no—
1300C22⋊Q8—792no—
1301C22⋊Q8—792no—
1302C22⋊Q8—798no—
1303C22⋊Q8—791no—
1304C22⋊Q8—791no—
1305C22⋊Q8—794no—
1306C22⋊Q8—798no—
1307C22⋊Q8—798no—
1308C22⋊Q8—798no—
1309C22⋊Q8—798no—
1310C22⋊Q8—792no—
1311C22⋊Q8—792no—
1312C22⋊Q8—798no—
1313C22⋊Q8—794no—
1314C22⋊Q8—792no—
1315C22⋊Q8—792no—
1316C22⋊Q8—794no—
1317C22⋊Q8—798no—
1318C22⋊Q8—798no—
1319C22⋊Q8—798no—
1320C22⋊Q8—791no—
1321C22⋊Q8—792no—
1322C22⋊Q8—792no—
1323C22⋊Q8—791no—
1324C22⋊Q8—798no—
1325C22⋊Q8—794no—
1326C22⋊Q8—798no—
1327C22⋊Q8—798no—
1328C22⋊Q8—798no—
1329C22⋊Q8—798no—
1330C22⋊Q8—798no—
1331C22⋊Q8—798no—
1332C22⋊Q8—798no—
1333C22⋊Q8—798no—
1334C22⋊Q8—792no—
1335C22⋊Q8—794no—
1336C22⋊Q8—794no—
1337C22⋊Q8—792no—
1338C22⋊Q8C22×D7912yes—
1339C22⋊Q8C22×D7912yes—
1340C22⋊Q8C22×D7918yes—
1341C22⋊Q8C22×D7914yes—
1342C22⋊Q8C22×D7914yes—
1343C22⋊Q8C22×D7918yes—
1344C22⋊Q8C22×D7918yes—
1345#121—792no—
1346#121—791no—
1347#121—792no—
1348#121—791no—
1349#121—794no—
1350#121—794no—
1351#121—794no—
1352#121—794no—
1353#121—798no—
1354#121—798no—
1355#121—794no—
1356#121—794no—
1357#121—794no—
1358#121—794no—
1359#121—794no—
1360#121—794no—
1361#121—794no—
1362#121—794no—
1363#121—791no—
1364#121—791no—
1365#121—794no—
1366#121—794no—
1367#121—798no—
1368#121—794no—
1369#121—794no—
1370#121—798no—
1371#121—798no—
1372#121—798no—
1373#121—798no—
1374#121—792no—
1375#121—792no—
1376#121—798no—
1377#121—798no—
1378#121—798no—
1379#121—798no—
1380#121—798no—
1381#121—798no—
1382#120—792no—
1383#120—798no—
1384#120—792no—
1385#120—798no—
1386C4×Q8—792no—
1387C4×Q8—792no—
1388C4×Q8—794no—
1389C4×Q8—792no—
1390C4×Q8—794no—
1391C4×Q8—794no—
1392C4×Q8—792no—
1393C4×Q8—794no—
1394C4×Q8—794no—
1395C4×Q8—794no—
1396C4×Q8—792no—
1397C4×Q8—792no—
1398C4×Q8—794no—
1399C4×Q8—792no—
1400C4×Q8—792no—
1401C4×Q8—792no—
1402C4×Q8—792no—
1403C4×Q8—791no—
1404C4×Q8—791no—
1405C4×Q8C22×D7912yes—
1406C4×Q8C22×D7912yes—
1407C4×Q8C22×D7911yescharacteristic
1408C4×Q8C22×D7911yescharacteristic
1409C4×Q8C22×D7914yes—
1410C4×Q8C22×D7914yes—
1411C4×Q8C22×D7914yes—
1412C4×D4—792no—
1413C4×D4—792no—
1414C4×D4—792no—
1415C4×D4—792no—
1416C4×D4—792no—
1417C4×D4—792no—
1418C4×D4—792no—
1419C4×D4—792no—
1420C4×D4—792no—
1421C4×D4—792no—
1422C4×D4—798no—
1423C4×D4—798no—
1424C4×D4—798no—
1425C4×D4—794no—
1426C4×D4—794no—
1427C4×D4—794no—
1428C4×D4—794no—
1429C4×D4—794no—
1430C4×D4—794no—
1431C4×D4—794no—
1432C4×D4—794no—
1433C4×D4—794no—
1434C4×D4—794no—
1435C4×D4—794no—
1436C4×D4—794no—
1437C4×D4—798no—
1438C4×D4—794no—
1439C4×D4—794no—
1440C4×D4—794no—
1441C4×D4—798no—
1442C4×D4—792no—
1443C4×D4—792no—
1444C4×D4—792no—
1445C4×D4—792no—
1446C4×D4—791no—
1447C4×D4—791no—
1448C4×D4—794no—
1449C4×D4—794no—
1450C4×D4—794no—
1451C4×D4—794no—
1452C4×D4—798no—
1453C4×D4—798no—
1454C4×D4—794no—
1455C4×D4—794no—
1456C4×D4C22×D7912yes—
1457C4×D4C22×D7912yes—
1458C4×D4C22×D7911yescharacteristic
1459C4×D4C22×D7911yescharacteristic
1460C4×D4C22×D7918yes—
1461C4×D4C22×D7914yes—
1462#117—792no—
1463#117—791no—
1464#117—792no—
1465#117—792no—
1466#117—792no—
1467#117—792no—
1468#117—798no—
1469#117—794no—
1470#117—794no—
1471#117—794no—
1472#117—792no—
1473#117—792no—
1474#117—792no—
1475#117—792no—
1476#117—792no—
1477#117—798no—
1478#117—798no—
1479#117C22×D7912yes—
1480#117C22×D7911yescharacteristic
1481#117C22×D7912yes—
1482#117C22×D7914yes—
1483C2×C4⋊C4—792no—
1484C2×C4⋊C4—792no—
1485C2×C4⋊C4—792no—
1486C2×C4⋊C4—794no—
1487C2×C4⋊C4—794no—
1488C2×C4⋊C4—792no—
1489C2×C4⋊C4—798no—
1490C2×C4⋊C4—798no—
1491C2×C4⋊C4—798no—
1492C2×C4⋊C4—794no—
1493C2×C4⋊C4—794no—
1494C2×C4⋊C4C22×D7912yes—
1495C2×C4⋊C4C22×D7912yes—
1496C2×C4⋊C4C22×D7914yes—
1497C2×C4⋊C4C22×D7914yes—
1498C2×C22⋊C4—794no—
1499C2×C22⋊C4—794no—
1500C2×C22⋊C4—794no—
1501C2×C22⋊C4—798no—
1502C2×C22⋊C4—798no—
1503C2×C42—791no—
1504C2×C42—791no—
1505C2×C42—791no—
1506C2×C42—794no—
1507C2×C42—791no—
1508C2×C42—791no—
1509C2×C42—792no—
1510C2×C42—791no—
1511C2×C42—791no—
1512C2×C42—791no—
1513C2×C42—791no—
1514C2×C42—791no—
1515C2×C42—791no—
1516C2×C42C22×D7912yes—
1517C2×C42C22×D7911yescharacteristic
1518C24—794no—
1519C24—791no—
1520#41—24no—
1521#41—3168no—
1522#41—3168no—
1523#41—3164no—
1524#41—31616no—
1525#41—31616no—
1526#41—3168no—
1527#41—3168no—
1528#41—3168no—
1529#41—3168no—
1530#41—31616no—
1531#41—3168no—
1532#41—1588no—
1533#41—15816no—
1534#41—1584no—
1535C2×Q8—44no—
1536C2×Q8—48no—
1537C2×Q8—3164no—
1538C2×Q8—3168no—
1539C2×Q8—31616no—
1540C2×Q8—792no—
1541C2×Q8—794no—
1542C2×Q8—798no—
1543C2×Q8—791no—
1544C2×Q8—792no—
1545C2×Q8—792no—
1546C2×Q8—794no—
1547C2×Q8—792no—
1548C2×Q8—1588no—
1549C2×Q8C23×D7912yes—
1550C2×Q8C23×D7914yes—
1551C2×Q8C23×D7912yes—
1552C2×Q8C23×D7911yescharacteristic
1553C2×Q8C23×D7918yes—
1554C2×Q8C23×D7914yes—
1555C2×D4—3164no—
1556C2×D4—3164no—
1557C2×D4—3168no—
1558C2×D4—792no—
1559C2×D4—798no—
1560C2×D4—792no—
1561C2×D4—798no—
1562C2×D4—792no—
1563C2×D4—792no—
1564C2×D4—792no—
1565C2×D4—792no—
1566C2×D4—798no—
1567C2×D4—794no—
1568C2×D4—798no—
1569C2×D4—798no—
1570C2×D4—794no—
1571C2×D4—794no—
1572C2×D4—794no—
1573C2×D4—791no—
1574C2×D4—794no—
1575C2×D4—792no—
1576C2×D4—798no—
1577C2×D4—794no—
1578C2×D4—1588no—
1579C2×D4C23×D7912yes—
1580C2×D4C23×D7911yescharacteristic
1581C22×C4—3162no—
1582C22×C4—3168no—
1583C22×C4—791no—
1584C22×C4—791no—
1585C22×C4—791no—
1586C22×C4—794no—
1587C22×C4—798no—
1588C22×C4—798no—
1589C22×C4—798no—
1590C22×C4—798no—
1591C22×C4—798no—
1592C22×C4—798no—
1593C22×C4—791no—
1594C22×C4—791no—
1595C22×C4—791no—
1596C22×C4—791no—
1597C22×C4—791no—
1598C22×C4—791no—
1599C22×C4—791no—
1600C22×C4—791no—
1601C22×C4—791no—
1602C22×C4—791no—
1603C22×C4—791no—
1604C22×C4—791no—
1605C22×C4—794no—
1606C22×C4—792no—
1607C22×C4—792no—
1608C22×C4—792no—
1609C22×C4—798no—
1610C22×C4—1584no—
1611C22×C4—1584no—
1612C22×C4C23×D7911yescharacteristic
1613C22×C4C23×D7911yescharacteristic
1614C22×C4C23×D7912yes—
1615C22×C4C23×D7912yes—
1616C22×C4C23×D7912yes—
1617C22×C4C23×D7914yes—
1618C22×C4C23×D7918yes—
1619C22×C4C23×D7911yescharacteristic
1620C4⋊C4—792no—
1621C4⋊C4—792no—
1622C4⋊C4—794no—
1623C4⋊C4—794no—
1624C4⋊C4—798no—
1625C4⋊C4—794no—
1626C4⋊C4—794no—
1627C4⋊C4—798no—
1628C4⋊C4—798no—
1629C4⋊C4—794no—
1630C4⋊C4—794no—
1631C4⋊C4—794no—
1632C4⋊C4—794no—
1633C4⋊C4—792no—
1634C4⋊C4—792no—
1635C4⋊C4—792no—
1636C4⋊C4—792no—
1637C4⋊C4—792no—
1638C4⋊C4—792no—
1639C4⋊C4—792no—
1640C4⋊C4—792no—
1641C4⋊C4—792no—
1642C4⋊C4—792no—
1643C4⋊C4—792no—
1644C4⋊C4—794no—
1645C4⋊C4—792no—
1646C4⋊C4—792no—
1647C4⋊C4—798no—
1648C4⋊C4—794no—
1649C4⋊C4—792no—
1650C4⋊C4—791no—
1651C4⋊C4—791no—
1652C4⋊C4—792no—
1653C4⋊C4—792no—
1654C4⋊C4C23×D7912yes—
1655C4⋊C4C23×D7914yes—
1656C4⋊C4C23×D7912yes—
1657C4⋊C4C23×D7914yes—
1658C4⋊C4C23×D7918yes—
1659C4⋊C4C23×D7912yes—
1660C4⋊C4C23×D7912yes—
1661C4⋊C4C23×D7918yes—
1662C4⋊C4C23×D7918yes—
1663C4⋊C4C23×D7914yes—
1664C4⋊C4C23×D7914yes—
1665C4⋊C4C23×D7914yes—
1666C4⋊C4C23×D7914yes—
1667C4⋊C4C23×D7918yes—
1668C4⋊C4C23×D7911yescharacteristic
1669C4⋊C4C23×D7911yescharacteristic
1670C4⋊C4C23×D7912yes—
1671C4⋊C4C23×D7912yes—
1672C22⋊C4—792no—
1673C22⋊C4—794no—
1674C22⋊C4—792no—
1675C22⋊C4—792no—
1676C22⋊C4—792no—
1677C22⋊C4—792no—
1678C22⋊C4—798no—
1679C22⋊C4—794no—
1680C22⋊C4—794no—
1681C22⋊C4—798no—
1682C22⋊C4—798no—
1683C22⋊C4—798no—
1684C22⋊C4—798no—
1685C22⋊C4—798no—
1686C22⋊C4—798no—
1687C22⋊C4—798no—
1688C22⋊C4—792no—
1689C22⋊C4—792no—
1690C22⋊C4—792no—
1691C22⋊C4—792no—
1692C22⋊C4—798no—
1693C22⋊C4—798no—
1694C22⋊C4—798no—
1695C22⋊C4—798no—
1696C22⋊C4—792no—
1697C22⋊C4—792no—
1698C22⋊C4—792no—
1699C22⋊C4—792no—
1700C22⋊C4—798no—
1701C22⋊C4—792no—
1702C22⋊C4—792no—
1703C22⋊C4C23×D7912yes—
1704C22⋊C4C23×D7914yes—
1705C22⋊C4C23×D7912yes—
1706C22⋊C4C23×D7912yes—
1707C22⋊C4C23×D7918yes—
1708C42—791no—
1709C42—791no—
1710C42—791no—
1711C42—791no—
1712C42—791no—
1713C42—791no—
1714C42—791no—
1715C42—791no—
1716C42—791no—
1717C42—791no—
1718C42—791no—
1719C42—791no—
1720C42—794no—
1721C42—794no—
1722C42—792no—
1723C42—792no—
1724C42—792no—
1725C42—794no—
1726C42—798no—
1727C42C23×D7911yescharacteristic
1728C42C23×D7911yescharacteristic
1729C42C23×D7911yescharacteristic
1730C42C23×D7911yescharacteristic
1731C42C23×D7914yes—
1732C42C23×D7912yes—
1733C42C23×D7912yes—
1734C42C23×D7912yes—
1735C42C23×D7918yes—
1736C23—3161no—
1737C23—3164no—
1738C23—3164no—
1739C23—791no—
1740C23—798no—
1741C23—791no—
1742C23—792no—
1743C23—1582no—
1744C23—1582no—
1745C23—1588no—
1746C23C24×D7912yes—
1747C23C24×D7911yescharacteristic
1748Q8—28no—
1749Q8—24no—
1750Q8—22no—
1751Q8—24no—
1752Q8—48no—
1753Q8—44no—
1754Q8—3168no—
1755Q8—3164no—
1756Q8—3162no—
1757Q8—1584no—
1758Q8—1588no—
1759Q8—1584no—
1760Q8—1582no—
1761Q8—1584no—
1762D4—24no—
1763D4—22no—
1764D4—3164no—
1765D4—3168no—
1766D4—3164no—
1767D4—3168no—
1768D4—3162no—
1769D4—3168no—
1770D4—3162no—
1771D4—3168no—
1772D4—3162no—
1773D4—3168no—
1774D4—15816no—
1775D4—1584no—
1776D4—1584no—
1777D4—1584no—
1778D4—1584no—
1779D4—1588no—
1780D4—1588no—
1781D4—1588no—
1782D4—1582no—
1783D4—1588no—
1784C2×C4—22no—
1785C2×C4—24no—
1786C2×C4—24no—
1787C2×C4—22no—
1788C2×C4—24no—
1789C2×C4—44no—
1790C2×C4—48no—
1791C2×C4—3168no—
1792C2×C4—3161no—
1793C2×C4—3161no—
1794C2×C4—3168no—
1795C2×C4—3168no—
1796C2×C4—3168no—
1797C2×C4—3164no—
1798C2×C4—3168no—
1799C2×C4—3168no—
1800C2×C4—3161no—
1801C2×C4—791no—
1802C2×C4—794no—
1803C2×C4—791no—
1804C2×C4—792no—
1805C2×C4—791no—
1806C2×C4—791no—
1807C2×C4—794no—
1808C2×C4—791no—
1809C2×C4—791no—
1810C2×C4—792no—
1811C2×C4—792no—
1812C2×C4—794no—
1813C2×C4—15816no—
1814C2×C4—1582no—
1815C2×C4—1582no—
1816C2×C4—1588no—
1817C2×C4—1582no—
1818C2×C4—1582no—
1819C2×C4—1582no—
1820C2×C4—1584no—
1821C2×C4—1582no—
1822C2×C4—1582no—
1823C2×C4—1582no—
1824C2×C4—1582no—
1825C2×C4—1584no—
1826C2×C4—1582no—
1827C2×C4—1582no—
1828C2×C4—1584no—
1829C2×C4#1457920914yescomplemented
1830C2×C4C24×D7911yescharacteristic
1831C2×C4C24×D7911yescharacteristic
1832C2×C4C24×D7914yes—
1833C2×C4C24×D7914yes—
1834C2×C4C24×D7918yes—
1835C2×C4C24×D7912yes—
1836C2×C4C24×D7912yes—
1837C2×C4C24×D7912yes—
1838C2×C4C24×D7911yescharacteristic
1839C2×C4C24×D7911yescharacteristic
1840C2×C4C24×D7911yescharacteristic
1841C2×C4C24×D7911yescharacteristic
1842C22—21no—
1843C22—21no—
1844C22—22no—
1845C22—22no—
1846C22—22no—
1847C22—3164no—
1848C22—792no—
1849C22—6328no—
1850C22—1582no—
1851C22—1588no—
1852C22—1581no—
1853C22—1581no—
1854C22—1582no—
1855C22—1588no—
1856C22—1588no—
1857C22—1581no—
1858C22—1582no—
1859C22—1581no—
1860C22—1581no—
1861C22C2×#1457920912yes—
1862C22C25×D7911yescharacteristic
1863C4—22no—
1864C4—21no—
1865C4—24no—
1866C4—28no—
1867C4—22no—
1868C4—22no—
1869C4—21no—
1870C4—24no—
1871C4—792no—
1872C4—1581no—
1873C4—1584no—
1874C4—1582no—
1875C4—1581no—
1876C4—1581no—
1877C4—1582no—
1878C4—1582no—
1879C4—1584no—
1880C4—1581no—
1881C4—1581no—
1882C4H(5,𝔽2)×D7912yes—
1883C4C2×#1457920912yes—
1884C4C2×#1457920912yes—
1885C4#1909940012yes—
1886C2—22no—
1887C2—42no—
1888C2—3161no—
1889C2—3168no—
1890C2—3162no—
1891C2—1582no—
1892C2C2×H(5,𝔽2)×D7911yescharacteristic
1893C2C22×#1457920911yescharacteristic
1894C2C2×#1909940011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3503C2
hypercenter#3503D79
hypocenterC79#62835
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3503

Complements

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

NH ≅ G/Ntype
1. #23777966C2semidirect
2. #23777933C2semidirect
3. #23777874C2semidirect
4. #23777872C2semidirect
5. #23777806C2semidirect
6. #23777799C2semidirect
7. #23777786C2semidirect
8. #23777628C2semidirect
9. #23777486C2semidirect
10. #23777484C2semidirect
11. #23777445C2semidirect
12. #23777313C2semidirect
13. #23777312C2semidirect
14. #23777312C2semidirect
15. #23777277C2semidirect
16. #23777276C2semidirect
17. #23777266C2semidirect
18. #23777245C2semidirect
19. #23777216C2semidirect
20. #23777202C2semidirect
21. #23777183C2semidirect
22. #23777170C2semidirect
23. #23777138C2semidirect
24. #23777136C2semidirect
25. #23777077C2semidirect
26. #23776693C2semidirect
27. #533×D79C2semidirect
28. C2×#19099114C2semidirect
29. C79×#3503C2semidirect
30. C2×#14579209C22semidirect
32. #19099312C22semidirect
33. #19099311C22semidirect
34. #19099309C22semidirect
35. #19099309C22semidirect
36. #19099298C22semidirect
37. #19099298C22semidirect
38. #19099298C22semidirect
39. #19099298C22semidirect
40. #19099298C22semidirect
41. #19099296C22semidirect
42. #19099293C22semidirect
43. #19099288C22semidirect
44. #19099287C22semidirect
45. #19099285C22semidirect
46. #19099285C22semidirect
47. #19099285C22semidirect
48. #19099279C22semidirect
49. #19099276C22semidirect
50. #19099276C22semidirect
51. #19099274C22semidirect
52. #19099274C22semidirect
53. #19099274C22semidirect
54. #19099269C22semidirect
55. #19099269C22semidirect
56. #19099269C22semidirect
57. #19099269C22semidirect
59. #19099266C22semidirect
60. #19099266C22semidirect
61. #19099261C22semidirect
62. #19099261C22semidirect
63. #19099257C22semidirect
64. #19099257C22semidirect
65. #19099245C22semidirect
68. #19099235C22semidirect
69. #19099235C22semidirect
70. #19099234C22semidirect
71. #19099234C22semidirect
72. #19099234C22semidirect
73. #19099228C22semidirect
74. #19099228C22semidirect
75. #19099228C22semidirect
76. #19099228C22semidirect
78. #19099225C22semidirect
79. #19099225C22semidirect
80. #19099224C22semidirect
81. #19099224C22semidirect
82. #19099223C22semidirect
83. #19099223C22semidirect
84. #19099223C22semidirect
85. #19099216C22semidirect
86. #19099216C22semidirect
87. #19099216C22semidirect
88. #19099216C22semidirect
89. #19099215C22semidirect
90. #19099215C22semidirect
91. #19099215C22semidirect
92. #19099214C22semidirect
93. #19099214C22semidirect
94. #19099214C22semidirect
95. #19099214C22semidirect
103. #19099190C22semidirect
105. #19099187C22semidirect
106. #19099187C22semidirect
107. #19099187C22semidirect
108. #19099187C22semidirect
109. #19099186C22semidirect
110. #19099186C22semidirect
111. #19099185C22semidirect
112. #19099185C22semidirect
113. #19099185C22semidirect
114. #19099183C22semidirect
115. #19099169C22semidirect
116. #19099169C22semidirect
117. #19099168C22semidirect
118. #19099164C22semidirect
119. #19099161C22semidirect
120. #19099161C22semidirect
121. #19099159C22semidirect
123. #19099144C22semidirect
124. #19099143C22semidirect
125. #19099143C22semidirect
126. #19099143C22semidirect
127. #19099143C22semidirect
128. #19099138C22semidirect
129. #19099138C22semidirect
130. #19099138C22semidirect
131. #19099137C22semidirect
135. #19099119C22semidirect
136. #19099118C22semidirect
137. #19099118C22semidirect
138. #19099118C22semidirect
139. #19099117C22semidirect
140. #19099117C22semidirect
141. #19099117C22semidirect
142. #19099117C22semidirect
155. #19099114C22semidirect
156. #19099114C22semidirect
157. #19099114C22semidirect
158. #19099113C22semidirect
159. #19099113C22semidirect
160. #19099110C22semidirect
161. #19099110C22semidirect
162. #19099110C22semidirect
164. C4⋊Q8×D79C22semidirect
165. C4⋊Q8×D79C22semidirect
166. C4⋊Q8×D79C22semidirect
168. #19099100C22semidirect
169. #19099100C22semidirect
170. #19099100C22semidirect
171. #19099098C22semidirect
172. #19099095C22semidirect
173. #19099095C22semidirect
176. #19099091C22semidirect
177. #19099091C22semidirect
178. #125×D79C22semidirect
190. #19099045C22semidirect
191. #19099045C22semidirect
193. #19099044C22semidirect
197. C4×#11929624C22semidirect
198. C4×#11929624C22semidirect
199. C4×Q8×D79C22semidirect
200. C4×Q8×D79C22semidirect
205. Q82×C79C22semidirect
206. #557×C79C22semidirect
208. #554×C79C22semidirect
210. D4×Q8×C79C22semidirect
212. #544×C79C22semidirect
214. #533×C79C22semidirect
216. C2×C4⋊Q8×C79C22semidirect
815. C2×C4×C792−1+4semidirect
967. #3503D79semidirect
977. C79#62835semidirect
991. Q82C2×D79semidirect
993. #557C2×D79semidirect
1010. #554C2×D79semidirect
1031. D4×Q8C2×D79semidirect
1059. #544C2×D79semidirect
1104. #533C2×D79semidirect
1126. C2×C4⋊Q8C2×D79semidirect
1829. C2×C4#14579209semidirect

Maximal subgroups

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

subgroupindex
#237779662
#237779332
#237778742
#237778722
#237778062
#237777992
#237777862
#237776282
#237774862
#237774842
#237774452
#237773132
#237773122
#237772772
#237772762
#237772662
#237772452
#237772162
#237772022
#237771832
#237771702
#237771382
#237771362
#237770772
#237766932
#533×D792
C2×#190991142
C79×#35032
#6283579