Finite Group Databasebeta

← #35197128

Subgroups — #35197128

Order 20224.

6528 conjugacy classes of subgroups.

The subgroup lattice has 1718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778035C214yesmaximal, complemented
2#23778026C214yesmaximal, complemented
3#23777897C214yesmaximal, complemented
4#23777876C212yesmaximal, complemented
5#23777867C212yesmaximal, complemented
6#23777838C212yesmaximal, complemented
7#23777735C212yesmaximal, complemented
8#23777598C214yesmaximal, complemented
9#23777495C212yesmaximal, complemented
10#23777480C212yesmaximal, complemented
11#23777437C214yesmaximal, complemented
12#23777416C212yesmaximal, complemented
13#23777371C214yesmaximal, complemented
14#23777369C212yesmaximal, complemented
15#23777295C212yesmaximal, complemented
16#23777262C211yesmaximal, characteristic, complemented
17#23777257C214yesmaximal, complemented
18#23777222C212yesmaximal, complemented
19#23777205C211yesmaximal, characteristic, complemented
20#23777203C211yesmaximal, characteristic, complemented
21#23777154C214yesmaximal, complemented
22#23777153C212yesmaximal, complemented
23#23777132C212yesmaximal, complemented
24#23776695C211yesmaximal, characteristic, complemented
25#533×D79C211yesmaximal, characteristic, complemented
26C2×#19099095C211yesmaximal, characteristic, complemented
27C79×#3506C211yesmaximal, characteristic, complemented
28#19099316C2218yescomplemented
29#19099315C2218yescomplemented
30#19099313C2218yescomplemented
31#19099308C2218yescomplemented
32#19099299C2214yescomplemented
33#19099299C2214yescomplemented
34#19099299C2212yescomplemented
35Q8×Dic158C2212yescomplemented
36#19099293C2212yescomplemented
37#19099292C2214yescomplemented
38#19099291C2212yescomplemented
39#19099291C2214yescomplemented
40#19099290C2214yescomplemented
41#19099289C2214yescomplemented
42#19099288C2212yescomplemented
43#19099288C2212yescomplemented
44#19099283C2212yescomplemented
45#19099283C2218yescomplemented
46#19099282C2214yescomplemented
47#19099282C2214yescomplemented
48#19099282C2214yescomplemented
49#19099282C2218yescomplemented
50#19099281C2214yescomplemented
51#19099281C2214yescomplemented
52#19099277C2214yes—
53#19099272C2218yes—
54#19099272C2214yescomplemented
55#19099272C2214yescomplemented
56#19099272C2214yescomplemented
57#19099270C2218yes—
58#19099270C2212yescomplemented
59#19099270C2212yescomplemented
60#19099270C2212yescomplemented
61#19099270C2214yescomplemented
62#19099268C2214yescomplemented
63#19099265C2214yes—
64#19099260C2214yes—
65#19099255C2214yescomplemented
66#19099253C2218yes—
67#19099253C2218yescomplemented
68#19099253C2214yescomplemented
69#19099252C2214yescomplemented
70#19099252C2214yescomplemented
71#19099250C2218yescomplemented
72#19099250C2218yescomplemented
73#19099250C2218yescomplemented
74#19099249C2218yescomplemented
75#19099248C2214yescomplemented
76#19099244C2218yes—
77#19099244C2218yes—
78#19099244C2218yes—
79#19099242C2218yes—
80D4×Dic158C2212yescomplemented
81D4×Dic158C2212yescomplemented
82#19099226C2214yescomplemented
83#19099220C2214yescomplemented
84#19099219C2214yescomplemented
85#19099213C2214yes—
86#19099213C2218yescomplemented
87#19099213C2214yescomplemented
88#19099212C2214yescomplemented
89#19099200C2218yes—
90#19099194C2212yes—
91#19099194C2214yescomplemented
92#19099192C2214yes—
93#19099191C2212yes—
94#19099191C2214yescomplemented
95#19099191C2214yescomplemented
96#19099189C2214yes—
97#19099182C2214yes—
98#19099181C2218yescomplemented
99#19099180C2214yescomplemented
100#19099180C2214yescomplemented
101#19099180C2214yescomplemented
102#19099180C2214yescomplemented
103#19099180C2218yescomplemented
104#19099178C2214yescomplemented
105#19099177C2218yescomplemented
106#19099173C2214yescomplemented
107#19099173C2214yescomplemented
108#19099171C2214yescomplemented
109#19099170C2218yescomplemented
110#19099170C2218yescomplemented
111#19099167C2214yes—
112#19099158C2214yes—
113#19099158C2218yescomplemented
114#19099157C2218yescomplemented
115#19099156C2218yescomplemented
116#19099156C2218yescomplemented
117#19099155C2218yescomplemented
118#19099134C2212yes—
119#19099134C2214yescomplemented
120#19099133C2218yescomplemented
121#19099120C2211yescharacteristic
122#19099120C2211yescharacteristic
123#19099119C2212yescomplemented
124#19099118C2211yescharacteristic, complemented
125#19099118C2211yescharacteristic, complemented
126#19099118C2211yescharacteristic, complemented
127#19099118C2211yescharacteristic, complemented
128#19099117C2212yescomplemented
129#19099117C2212yescomplemented
130#19099117C2214yescomplemented
131#19099116C2212yes—
132#19099116C2214yescomplemented
133#19099115C2212yes—
134#19099115C2214yes—
135#19099115C2212yes—
136#19099111C2214yes—
137#19099111C2211yescharacteristic, complemented
138#19099111C2211yescharacteristic, complemented
139C4⋊Q8×D79C2211yescharacteristic, complemented
140C4⋊Q8×D79C2211yescharacteristic, complemented
141#19099095C2212yes—
142#19099095C2212yes—
143#19099095C2212yes—
144#19099095C2212yes—
145#19099095C2212yes—
146#19099095C2212yes—
147#19099095C2212yes—
148#19099095C2212yes—
149#19099095C2212yescomplemented
150#19099095C2214yescomplemented
151#19099095C2212yescomplemented
152#19099094C2212yes—
153#19099094C2214yes—
154#19099094C2212yes—
155#19099094C2214yescomplemented
156#19099094C2214yescomplemented
157#19099092C2214yes—
158#19099092C2212yescomplemented
159#19099092C2212yescomplemented
160C2×#14579154C2212yes—
161C2×#14579152C2211yescharacteristic
162C2×#14579152C2214yescomplemented
163#125×D79C2212yescomplemented
164C2×#14579148C2211yescharacteristic
165#19099073C2212yes—
166#19099073C2212yes—
167#19099070C2212yes—
168C2×#14579143C2212yes—
169C2×#14579141C2211yescharacteristic
170C2×#14579140C2214yes—
171C22⋊Q8×D79C2212yes—
172C22⋊Q8×D79C2212yes—
173C2×#14579132C2211yescharacteristic
174#19099046C2212yes—
175#19099046C2214yescomplemented
176#19099042C2218yescomplemented
177#19099040C2212yes—
178#19099040C2214yescomplemented
179#19099038C2212yes—
180#41×Dic79C2212yes—
181C4×#11929623C2212yescomplemented
182C4×#11929623C2212yescomplemented
183C2×C4×Dic158C2211yescharacteristic
184C4×Q8×D79C2212yescomplemented
185C4×Q8×D79C2212yescomplemented
186C2×C4×C22⋊D79C2212yes—
187C2×#14579120C2212yes—
188#117×D79C2212yes—
189C2×C42×D79C2211yescharacteristic
190#559×C79C2214yescomplemented
191#556×C79C2212yescomplemented
192#555×C79C2212yescomplemented
193#553×C79C2214yescomplemented
194#550×C79C2212yescomplemented
195#547×C79C2212yescomplemented
196#538×C79C2214yes—
197#535×C79C2212yes—
198#533×C79C2211yescharacteristic
199#532×C79C2211yescharacteristic
200#525×C79C2214yes—
201#520×C79C2212yes—
202C2×C4×D4×C79C2211yescharacteristic
203C2×#11929623C2318yes—
204C2×#11929623C2312yes—
205C2×#11929623C2312yes—
206C22×Dic158C2311yescharacteristic
207C22×Dic158C2314yes—
208C2×Q8×D79C2312yes—
209C2×Q8×D79C2312yes—
210C22×C22⋊D79C2312yes—
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214#14579161C2314yes—
215#14579161C2318yes—
216#14579161C2311yescharacteristic
217#14579161C2311yescharacteristic
218#14579161C2311yescharacteristic
219#14579161C2311yescharacteristic
220#14579160C2318yes—
221#14579160C2318yes—
222#14579160C2314yes—
223#14579160C2312yes—
224#14579160C2312yes—
225#14579160C2312yes—
226#14579160C2314yes—
227#14579160C2314yes—
228#14579160C2314yes—
229#14579160C2312yes—
230#14579159C2314yes—
231#14579159C2312yes—
232#14579159C2314yes—
233#14579159C2318yes—
234#14579159C2312yes—
235#14579156C2318yes—
236#14579155C2318yes—
237#14579154C2318yes—
238#14579154C2318yes—
239#14579154C2318yes—
240#14579154C2318yes—
241#14579154C2318yes—
242#14579154C2314yes—
243#14579154C2318yes—
244#14579154C2314yes—
245#14579154C2318yes—
246#14579154C2318yes—
247#14579154C2318yes—
248#14579154C2318yes—
249#14579154C2314yes—
250#14579154C2314yes—
251#14579154C2314yes—
252#14579154C2314yes—
253#14579153C2318yes—
254#14579153C2314yes—
255#14579153C2318yes—
256#14579153C2312yes—
257#14579153C2312yes—
258#14579152C2318yes—
259#14579152C2318yes—
260#14579152C2318yes—
261#14579152C2312yes—
262#14579152C2314yes—
263#14579152C2312yes—
264#14579152C2314yes—
265#14579152C2314yes—
266#14579152C2312yes—
267#14579152C2314yes—
268#14579152C2312yes—
269#14579152C2312yes—
270#14579152C2312yes—
271#14579152C2312yes—
272#14579152C2312yes—
273#14579151C2318yes—
274#14579151C2318yes—
275#14579151C2318yes—
276#14579151C2314yes—
277#14579151C2318yes—
278#14579151C2318yes—
279#14579151C2318yes—
280#14579151C2314yes—
281#14579148C2314yes—
282#14579148C2312yes—
283#14579148C2312yes—
284#14579148C2318yes—
285#14579148C2318yes—
286#14579148C2318yes—
287#14579148C2312yes—
288#14579148C2314yes—
289#14579148C2312yes—
290#14579148C2312yes—
291#14579148C2312yes—
292#14579147C2318yes—
293#14579147C2318yes—
294#14579145C2318yes—
295#14579144C2318yes—
296#14579143C2314yes—
297#14579143C2314yes—
298#14579143C2314yes—
299#14579143C2318yes—
300#14579143C2318yes—
301#14579143C2314yes—
302#14579143C2314yes—
303#14579143C2314yes—
304#14579142C2318yes—
305#14579142C2318yes—
306#14579142C2318yes—
307#14579142C2318yes—
308#14579142C2318yes—
309#14579142C2318yes—
310#14579142C2318yes—
311#14579142C2318yes—
312#14579142C2314yes—
313#14579141C2312yes—
314#14579141C2312yes—
315#14579141C2312yes—
316#14579141C2312yes—
317#14579141C2312yes—
318#14579141C2312yes—
319#14579141C2312yes—
320#14579141C2312yes—
321#14579140C2318yes—
322#14579140C2318yes—
323#14579140C2318yes—
324#14579140C2312yes—
325#14579140C2318yes—
326#14579140C2314yes—
327#14579140C2314yes—
328#14579140C2314yes—
329#14579140C2314yes—
330#14579140C2312yes—
331#14579140C2318yes—
332#14579140C2312yes—
333#14579140C2312yes—
334#14579139C2314yes—
335#14579139C2318yes—
336#14579139C2314yes—
337#14579138C2318yes—
338#14579138C2318yes—
339#14579138C2318yes—
340#14579138C2318yes—
341#14579138C2318yes—
342#14579138C2318yes—
343#14579138C2318yes—
344#14579138C2318yes—
345#14579138C2318yes—
346#14579138C2318yes—
347#14579138C2318yes—
348#14579138C2318yes—
349#14579138C2318yes—
350#14579138C2314yes—
351#14579138C2314yes—
352#14579137C2312yes—
353#14579137C2312yes—
354#14579137C2312yes—
355#14579137C2312yes—
356#14579133C2318yes—
357#14579133C2318yes—
358#14579132C2318yes—
359#14579132C2312yes—
360#14579132C2312yes—
361#14579132C2312yes—
362#14579132C2312yes—
363#14579132C2312yes—
364#14579132C2312yes—
365#14579132C2312yes—
366#14579132C2312yes—
367#14579129C2314yes—
368Q8×Dic79C2312yes—
369Q8×Dic79C2314yes—
370Q8×Dic79C2314yes—
371Q8×Dic79C2312yes—
372Q8×Dic79C2312yes—
373Q8×Dic79C2312yes—
374C4×Dic158C2318yes—
375C4×Dic158C2318yes—
376C4×Dic158C2314yes—
377C4×Dic158C2318yes—
378C4×Dic158C2314yes—
379C4×Dic158C2312yes—
380C4×Dic158C2312yes—
381C4×Dic158C2312yes—
382C4×Dic158C2314yes—
383C4×Dic158C2312yes—
384C4×Dic158C2312yes—
385C4×Dic158C2312yes—
386C4×Dic158C2314yes—
387C4×Dic158C2312yes—
388C4×Dic158C2312yes—
389#14579126C2312yes—
390#14579126C2314yes—
391#14579126C2312yes—
392#14579126C2314yes—
393#14579126C2312yes—
394#14579126C2314yes—
395#14579126C2314yes—
396#14579126C2314yes—
397#14579126C2318yes—
398#14579126C2312yes—
399#14579126C2314yes—
400D4×Dic79C2318yes—
401D4×Dic79C2318yes—
402D4×Dic79C2312yes—
403D4×Dic79C2318yes—
404D4×Dic79C2314yes—
405D4×Dic79C2314yes—
406D4×Dic79C2312yes—
407D4×Dic79C2314yes—
408D4×Dic79C2314yes—
409D4×Dic79C2314yes—
410D4×Dic79C2318yes—
411D4×Dic79C2314yes—
412D4×Dic79C2314yes—
413D4×Dic79C2314yes—
414D4×Dic79C2312yes—
415D4×Dic79C2312yes—
416C4×C22⋊D79C2314yes—
417C4×C22⋊D79C2314yes—
418C4×C22⋊D79C2318yes—
419C4×C22⋊D79C2314yes—
420C4×C22⋊D79C2314yes—
421C4×C22⋊D79C2314yes—
422C4×C22⋊D79C2314yes—
423(C22⋊D79)⋊C4C2314yes—
424(C22⋊D79)⋊C4C2318yes—
425(C22⋊D79)⋊C4C2314yes—
426#14579120C2314yes—
427#14579120C2314yes—
428#14579120C2314yes—
429#14579120C2318yes—
430#14579120C2312yes—
431#14579120C2312yes—
432#14579120C2314yes—
433#14579120C2314yes—
434#14579120C2314yes—
435#14579119C2312yes—
436#14579119C2312yes—
437#14579119C2312yes—
438#14579119C2312yes—
439#14579118C2314yes—
440#14579118C2318yes—
441#14579117C2318yes—
442#14579117C2318yes—
443#14579117C2318yes—
444#14579117C2318yes—
445#14579117C2318yes—
446#14579117C2314yes—
447#14579117C2314yes—
448#14579117C2314yes—
449C2×C4⋊Dic79C2318yes—
450C2×C4⋊Dic79C2311yescharacteristic
451C2×C4⋊Dic79C2314yes—
452C2×C4⋊Dic79C2314yes—
453C2×C4⋊Dic79C2312yes—
454C2×C4⋊Dic79C2312yes—
455C2×Dic79⋊C4C2318yes—
456C2×Dic79⋊C4C2312yes—
457C2×Dic79⋊C4C2318yes—
458C2×Dic79⋊C4C2312yes—
459C4⋊C4×D79C2312yes—
460C4⋊C4×D79C2314yes—
461C4⋊C4×D79C2312yes—
462C4⋊C4×D79C2314yes—
463C4⋊C4×D79C2312yes—
464C4⋊C4×D79C2312yes—
465C2×C22⋊Dic79C2318yes—
466C2×C22⋊Dic79C2312yes—
467C2×C22⋊Dic79C2312yes—
468C2×C22⋊Dic79C2312yes—
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—
486C2×#41×C79C2314yes—
487C22×D4×C79C2311yescharacteristic
488C23×C4×C79C2312yes—
489C4⋊Q8×C79C2311yescharacteristic
490C4⋊Q8×C79C2311yescharacteristic
491C4⋊Q8×C79C2311yescharacteristic
492#127×C79C2314yes—
493#127×C79C2311yescharacteristic
494#126×C79C2318yes—
495#125×C79C2312yes—
496#124×C79C2318yes—
497#124×C79C2314yes—
498#124×C79C2312yes—
499#123×C79C2318yes—
500#123×C79C2318yes—
501C22⋊Q8×C79C2314yes—
502C22⋊Q8×C79C2312yes—
503C22⋊Q8×C79C2312yes—
504#121×C79C2312yes—
505#121×C79C2318yes—
506#121×C79C2314yes—
507#121×C79C2314yes—
508#121×C79C2314yes—
509#121×C79C2312yes—
510#120×C79C2318yes—
511C4×Q8×C79C2314yes—
512C4×Q8×C79C2312yes—
513C4×Q8×C79C2312yes—
514C4×D4×C79C2318yes—
515C4×D4×C79C2314yes—
516C4×D4×C79C2312yes—
517C4×D4×C79C2312yes—
518C4×D4×C79C2312yes—
519C4×D4×C79C2312yes—
520C4×D4×C79C2318yes—
521C4×D4×C79C2312yes—
522C4×D4×C79C2312yes—
523#117×C79C2312yes—
524#117×C79C2314yes—
525#117×C79C2314yes—
526C2×C4⋊C4×C79C2311yescharacteristic
527C2×C4⋊C4×C79C2314yes—
528C2×C22⋊C4×C79C2312yes—
529C2×C42×C79C2311yescharacteristic
530C23×D79C2411yescharacteristic
531#11929623—416no—
532#11929623—44no—
533#11929623—44no—
534C2×Dic158—24no—
535C2×Dic158—48no—
536C2×Dic158C2412yes—
537C2×Dic158C2412yes—
538C2×Dic158C2412yes—
539C2×Dic158C2412yes—
540C2×Dic158C2412yes—
541C2×Dic158C2414yes—
542C2×Dic158C2414yes—
543C2×Dic158C2418yes—
544C2×Dic158C2412yes—
545C2×Dic158C2418yes—
546Q8×D79—44no—
547Q8×D79—44no—
548C2×C22⋊D79—44no—
549C2×C22⋊D79C2414yes—
550C2×C22⋊D79C2414yes—
551C2×C22⋊D79C2414yes—
552C2×C22⋊D79C2414yes—
553C22×Dic79C2412yes—
554C22×Dic79C2411yescharacteristic
555C22×Dic79C2418yes—
556C22×Dic79C2414yes—
557C22×Dic79C2414yes—
558C22×Dic79C2418yes—
559C22×Dic79C2418yes—
560C22×Dic79C2411yescharacteristic
561C22×Dic79C2411yescharacteristic
562C22×Dic79C2412yes—
563C2×C4×D79—24no—
564C2×C4×D79—42no—
565C2×C4×D79—42no—
566C2×C4×D79C2411yescharacteristic
567C2×C4×D79C2411yescharacteristic
568C2×C4×D79C2414yes—
569C2×C4×D79C2411yescharacteristic
570C2×C4×D79C2411yescharacteristic
571C2×C4×D79C2411yescharacteristic
572C2×C4×D79C2411yescharacteristic
573C2×C4×D79C2411yescharacteristic
574C2×C4×D79C2411yescharacteristic
575C2×C4×D79C2414yes—
576C2×C4×D79C2411yescharacteristic
577C2×C4×D79C2411yescharacteristic
578C2×C4×D79C2411yescharacteristic
579C2×C4×D79C2411yescharacteristic
580C4⋊Dic79C2412yes—
581C4⋊Dic79C2412yes—
582C4⋊Dic79C2414yes—
583C4⋊Dic79C2412yes—
584C4⋊Dic79C2414yes—
585C4⋊Dic79C2412yes—
586C4⋊Dic79C2412yes—
587C4⋊Dic79C2414yes—
588C4⋊Dic79C2412yes—
589C4⋊Dic79C2418yes—
590C4⋊Dic79C2414yes—
591C4⋊Dic79C2414yes—
592C4⋊Dic79C2414yes—
593C4⋊Dic79C2412yes—
594C4⋊Dic79C2418yes—
595C4⋊Dic79C2418yes—
596C4⋊Dic79C2412yes—
597C4⋊Dic79C2412yes—
598C4⋊Dic79C2412yes—
599C4⋊Dic79C2414yes—
600C4⋊Dic79C2414yes—
601Dic79⋊C4C2414yes—
602Dic79⋊C4C2414yes—
603Dic79⋊C4C2414yes—
604Dic79⋊C4C2414yes—
605Dic79⋊C4C2414yes—
606Dic79⋊C4C2414yes—
607Dic79⋊C4C2414yes—
608Dic79⋊C4C2414yes—
609Dic79⋊C4C2414yes—
610Dic79⋊C4C2414yes—
611Dic79⋊C4C2418yes—
612Dic79⋊C4C2418yes—
613Dic79⋊C4C2414yes—
614Dic79⋊C4C2418yes—
615Dic79⋊C4C2414yes—
616Dic79⋊C4C2414yes—
617Dic79⋊C4C2414yes—
618Dic79⋊C4C2418yes—
619Dic79⋊C4C2414yes—
620Dic79⋊C4C2414yes—
621Dic79⋊C4C2418yes—
622Dic79⋊C4C2418yes—
623Dic79⋊C4C2418yes—
624Dic79⋊C4C2418yes—
625C22⋊Dic79C2414yes—
626C22⋊Dic79C2414yes—
627C22⋊Dic79C2414yes—
628C22⋊Dic79C2414yes—
629C22⋊Dic79C2414yes—
630C22⋊Dic79C2414yes—
631C22⋊Dic79C2414yes—
632C22⋊Dic79C2414yes—
633C22⋊Dic79C2418yes—
634C22⋊Dic79C2418yes—
635C22⋊Dic79C2414yes—
636C22⋊Dic79C2414yes—
637C22⋊Dic79C2418yes—
638C22⋊Dic79C2418yes—
639C22⋊Dic79C2414yes—
640C22⋊Dic79C2414yes—
641C22⋊Dic79C2418yes—
642(C2×D79)⋊C4C2414yes—
643(C2×D79)⋊C4C2414yes—
644(C2×D79)⋊C4C2414yes—
645(C2×D79)⋊C4C2414yes—
646(C2×D79)⋊C4C2414yes—
647(C2×D79)⋊C4C2414yes—
648C4×Dic79C2411yescharacteristic
649C4×Dic79C2411yescharacteristic
650C4×Dic79C2411yescharacteristic
651C4×Dic79C2411yescharacteristic
652C4×Dic79C2411yescharacteristic
653C4×Dic79C2411yescharacteristic
654C4×Dic79C2411yescharacteristic
655C4×Dic79C2411yescharacteristic
656C4×Dic79C2411yescharacteristic
657C4×Dic79C2411yescharacteristic
658C4×Dic79C2411yescharacteristic
659C4×Dic79C2411yescharacteristic
660C4×Dic79C2414yes—
661C4×Dic79C2414yes—
662C4×Dic79C2414yes—
663C4×Dic79C2414yes—
664C4×Dic79C2414yes—
665C4×Dic79C2414yes—
666C4×Dic79C2414yes—
667C4×Dic79C2414yes—
668C4×Dic79C2418yes—
669C4×Dic79C2418yes—
670C4×Dic79C2418yes—
671C24×C79C2412yes—
672#41×C79—28no—
673#41×C79—48no—
674C2×Q8×C79C2412yes—
675C2×Q8×C79C2412yes—
676C2×Q8×C79C2412yes—
677C2×D4×C79—24no—
678C2×D4×C79C2412yes—
679C2×D4×C79C2414yes—
680C2×D4×C79C2412yes—
681C2×D4×C79C2412yes—
682C2×D4×C79C2412yes—
683C2×D4×C79C2418yes—
684C2×D4×C79C2412yes—
685C2×D4×C79C2418yes—
686C22×C4×C79—44no—
687C22×C4×C79C2414yes—
688C22×C4×C79C2411yescharacteristic
689C22×C4×C79C2414yes—
690C22×C4×C79C2411yescharacteristic
691C22×C4×C79C2412yes—
692C22×C4×C79C2418yes—
693C22×C4×C79C2414yes—
694C22×C4×C79C2411yescharacteristic
695C4⋊C4×C79C2412yes—
696C4⋊C4×C79C2412yes—
697C4⋊C4×C79C2412yes—
698C4⋊C4×C79C2418yes—
699C4⋊C4×C79C2412yes—
700C4⋊C4×C79C2412yes—
701C4⋊C4×C79C2412yes—
702C4⋊C4×C79C2414yes—
703C4⋊C4×C79C2412yes—
704C4⋊C4×C79C2414yes—
705C4⋊C4×C79C2412yes—
706C22⋊C4×C79C2414yes—
707C22⋊C4×C79C2414yes—
708C22⋊C4×C79C2414yes—
709C22⋊C4×C79C2418yes—
710C22⋊C4×C79C2418yes—
711C22⋊C4×C79C2414yes—
712C22⋊C4×C79C2418yes—
713C22⋊C4×C79C2414yes—
714C42×C79C2411yescharacteristic
715C42×C79C2411yescharacteristic
716C42×C79C2411yescharacteristic
717C42×C79C2411yescharacteristic
718C42×C79C2418yes—
719C42×C79C2414yes—
720C23×C79—24no—
721C23×C79—42no—
722C23×C79—42no—
723C23×C79C2514yes—
724C23×C79C2514yes—
725C23×C79C2511yescharacteristic
726C22×D79—22no—
727C22×D79—22no—
728C22×D79—41no—
729C22×D79C2511yescharacteristic
730C22×D79C2511yescharacteristic
731Q8×C79—24no—
732Q8×C79—24no—
733Q8×C79—42no—
734D4×C79—28no—
735D4×C79—24no—
736D4×C79—24no—
737D4×C79—24no—
738D4×C79—24no—
739D4×C79—42no—
740D4×C79—48no—
741D4×C79—48no—
742C2×C4×C79—28no—
743C2×C4×C79—22no—
744C2×C4×C79—28no—
745C2×C4×C79—41no—
746C2×C4×C79—42no—
747C2×C4×C79—44no—
748C2×C4×C79—48no—
749C2×C4×C792−1+414yes—
750C2×C4×C79C2511yescharacteristic
751C2×C4×C79C2514yes—
752C2×C4×C79C2514yes—
753C2×C4×C79C2514yes—
754C2×C4×C79C2511yescharacteristic
755C2×C4×C79C2511yescharacteristic
756C2×C4×C79C2514yes—
757C2×C4×C79C2511yescharacteristic
758C2×C4×C79C2511yescharacteristic
759C2×C4×C79C2511yescharacteristic
760C22⋊D79—28no—
761C22⋊D79—28no—
762C22⋊D79—44no—
763C22⋊D79—44no—
764C2×Dic79—22no—
765C2×Dic79—24no—
766C2×Dic79—41no—
767C2×Dic79—41no—
768C2×Dic79—42no—
769C2×Dic79—48no—
770C2×Dic79—48no—
771C2×Dic79—48no—
772C2×Dic79—44no—
773C2×Dic79—44no—
774C2×Dic79C2511yescharacteristic
775C2×Dic79C2511yescharacteristic
776C2×Dic79C2511yescharacteristic
777C2×Dic79C2514yes—
778C2×Dic79C2514yes—
779C2×Dic79C2514yes—
780C2×Dic79C2514yes—
781C2×Dic79C2511yescharacteristic
782C2×Dic79C2511yescharacteristic
783C2×Dic79C2511yescharacteristic
784C2×Dic79C2514yes—
785C2×Dic79C2514yes—
786C4×D79—22no—
787C4×D79—22no—
788C4×D79—28no—
789C4×D79—22no—
790C4×D79—22no—
791C4×D79—22no—
792C4×D79—22no—
793C4×D79—22no—
794C4×D79—22no—
795C4×D79—41no—
796C4×D79—41no—
797C4×D79—41no—
798C4×D79—41no—
799C4×D79—44no—
800Dic158—24no—
801Dic158—24no—
802Dic158—24no—
803Dic158—24no—
804Dic158—44no—
805Dic158—44no—
806Dic158—42no—
807Dic158—48no—
808Dic158—48no—
809Dic158—42no—
810C22×C79—21no—
811C22×C79—21no—
812C22×C79—24no—
813C22×C79—24no—
814C22×C79—24no—
815C22×C79—24no—
816C22×C79—24no—
817C22×C79—24no—
818C22×C79—84no—
819C22×C79C2×2−1+412yes—
820C22×C79C2611yescharacteristic
821C2×D79—21no—
822C2×D79—21no—
823C2×D79—21no—
824C2×D79—21no—
825C2×D79—21no—
826C2×D79—44no—
827C2×D79#58512yes—
828C4×C79—24no—
829C4×C79—24no—
830C4×C79—21no—
831C4×C79—24no—
832C4×C79—21no—
833C4×C79—21no—
834C4×C79—24no—
835C4×C79C2×2−1+412yes—
836C4×C79C2×2−1+412yes—
837C4×C79#58512yes—
838Dic79—24no—
839Dic79—21no—
840Dic79—21no—
841Dic79—24no—
842Dic79—24no—
843Dic79—24no—
844Dic79—24no—
845Dic79—21no—
846Dic79—21no—
847Dic79—24no—
848Dic79—21no—
849Dic79—21no—
850#62831—791nomaximal, Sylow
851C2×C79—22no—
852C2×C79—44no—
853C2×C79—44no—
854C2×C79C22×2−1+411yescharacteristic
855C2×C79C2×#58511yescharacteristic
856C2×C79C2×#58511yescharacteristic
857D79—22no—
858D79—41no—
859#3565—794no—
860#3564—794no—
861#3557—794no—
862#3555—792no—
863#3554—792no—
864#3552—792no—
865#3544—792no—
866#3535—794no—
867#3523—792no—
868#3522—792no—
869#3520—794no—
870#3518—792no—
871#3515—794no—
872#3515—792no—
873#3510—792no—
874#3507—794no—
875#3507—791no—
876#3506D7911yescharacteristic, complemented
877#3504—792no—
878#3502—791no—
879#3501—791no—
880#3495—794no—
881#3495—792no—
882#3494—792no—
883#3444—791no—
884C2×#533—791no—
885C2×#529—791no—
886C79#6283111yescharacteristic, complemented, Sylow
887#563—798no—
888#563—798no—
889#563—798no—
890#562—798no—
891#559—794no—
892#559—792no—
893#559—794no—
894#559C2×D7914yescomplemented
895Q82—792no—
896Q82—792no—
897#557—792no—
898#557—792no—
899#557—794no—
900#557—794no—
901#557—794no—
902#557—792no—
903#557—794no—
904#556—794no—
905#556—794no—
906#556—798no—
907#556—794no—
908#556—798no—
909#556—792no—
910#556—794no—
911#556—794no—
912#556C2×D7912yescomplemented
913#555—794no—
914#555C2×D7912yescomplemented
915#554—798no—
916#554—792no—
917#554—792no—
918#554—794no—
919#554—792no—
920#554—798no—
921#554—794no—
922#554—794no—
923#554—794no—
924#554—794no—
925#553—794no—
926#553—794no—
927#553C2×D7914yescomplemented
928#552—798no—
929#552—798no—
930#552—798no—
931#552—798no—
932#552—794no—
933#552—798no—
934#552—798no—
935#552—794no—
936#552—794no—
937#552—794no—
938#552—794no—
939#551—798no—
940#551—798no—
941#551—798no—
942#551—798no—
943#550C2×D7912yescomplemented
944D4×Q8—794no—
945D4×Q8—792no—
946D4×Q8—792no—
947#548—794no—
948#548—794no—
949#547—794no—
950#547—794no—
951#547—798no—
952#547—794no—
953#547C2×D7912yescomplemented
954#546—798no—
955#544—794no—
956#544—792no—
957#544—794no—
958#544—794no—
959#544—792no—
960#544—794no—
961#543—794no—
962#542—798no—
963#542—794no—
964#542—798no—
965#542—794no—
966#542—794no—
967#542—794no—
968#542—794no—
969#542—798no—
970#542—794no—
971#541—798no—
972#541—798no—
973#541—794no—
974#541—794no—
975#541—794no—
976#540—794no—
977#539—798no—
978#539—798no—
979#539—798no—
980#539—794no—
981#539—798no—
982#539—798no—
983#538C2×D7914yes—
984#536—792no—
985#536—794no—
986#536—798no—
987#535C2×D7912yes—
988#533—791no—
989#533—791no—
990#533—791no—
991#533—791no—
992#533—792no—
993#533—792no—
994#533—792no—
995#533—794no—
996#533—792no—
997#533—792no—
998#533—794no—
999#533—792no—
1000#533—794no—
1001#533—791no—
1002#533—791no—
1003#533C2×D7911yescharacteristic
1004#532—791no—
1005#532—791no—
1006#532—794no—
1007#532C2×D7911yescharacteristic
1008C2×C4⋊Q8—791no—
1009C2×C4⋊Q8—791no—
1010#529—792no—
1011#529—792no—
1012#529—794no—
1013#529—792no—
1014#529—792no—
1015#529—794no—
1016#529—794no—
1017#529—794no—
1018#529—792no—
1019#529—792no—
1020#529—792no—
1021#529—792no—
1022#529—792no—
1023#529—792no—
1024#529—792no—
1025#529—792no—
1026#529—792no—
1027#529—792no—
1028#529—794no—
1029C2×#126—792no—
1030C2×#125—792no—
1031C2×#125—791no—
1032C2×#125—794no—
1033C2×#124—791no—
1034#525—792no—
1035#525—792no—
1036#525—792no—
1037#525C2×D7914yes—
1038C2×#123—792no—
1039C2×C22⋊Q8—794no—
1040C2×C22⋊Q8—792no—
1041C2×C22⋊Q8—792no—
1042C2×C22⋊Q8—791no—
1043C2×#121—791no—
1044#520—792no—
1045#520—794no—
1046#520—798no—
1047#520C2×D7912yes—
1048#519—792no—
1049#519—794no—
1050#518—792no—
1051C4×#41—792no—
1052C4×#41—792no—
1053C4×#41—792no—
1054C2×C4×Q8—792no—
1055C2×C4×Q8—792no—
1056C2×C4×Q8—791no—
1057C2×C4×D4—792no—
1058C2×C4×D4C2×D7911yescharacteristic
1059C2×#117—792no—
1060C2×#117—792no—
1061C22×C42—791no—
1062C2×#41—792no—
1063C2×#41—792no—
1064C2×#41—798no—
1065C2×#41C22×D7912yes—
1066C2×#41C22×D7914yes—
1067C22×Q8—792no—
1068C22×Q8—792no—
1069C22×Q8—794no—
1070C22×Q8—791no—
1071C22×D4—792no—
1072C22×D4C22×D7911yescharacteristic
1073C23×C4—791no—
1074C23×C4—791no—
1075C23×C4—791no—
1076C23×C4C22×D7912yes—
1077C4⋊Q8—792no—
1078C4⋊Q8—792no—
1079C4⋊Q8—794no—
1080C4⋊Q8—794no—
1081C4⋊Q8—798no—
1082C4⋊Q8—792no—
1083C4⋊Q8—792no—
1084C4⋊Q8—792no—
1085C4⋊Q8—792no—
1086C4⋊Q8—794no—
1087C4⋊Q8—794no—
1088C4⋊Q8—794no—
1089C4⋊Q8—794no—
1090C4⋊Q8—798no—
1091C4⋊Q8—798no—
1092C4⋊Q8—791no—
1093C4⋊Q8—791no—
1094C4⋊Q8—791no—
1095C4⋊Q8—791no—
1096C4⋊Q8—794no—
1097C4⋊Q8—798no—
1098C4⋊Q8C22×D7911yescharacteristic
1099C4⋊Q8C22×D7911yescharacteristic
1100C4⋊Q8C22×D7911yescharacteristic
1101#127C22×D7911yescharacteristic
1102#127C22×D7914yes—
1103#126—798no—
1104#126—794no—
1105#126—794no—
1106#126—794no—
1107#126—794no—
1108#126—794no—
1109#126—794no—
1110#126—798no—
1111#126—798no—
1112#126—798no—
1113#126—798no—
1114#126—798no—
1115#126—798no—
1116#126—798no—
1117#126—798no—
1118#126—798no—
1119#126—798no—
1120#126—798no—
1121#126C22×D7918yes—
1122#125—792no—
1123#125—792no—
1124#125—792no—
1125#125—792no—
1126#125—792no—
1127#125—792no—
1128#125—794no—
1129#125—794no—
1130#125—798no—
1131#125—798no—
1132#125—794no—
1133#125—794no—
1134#125—792no—
1135#125—792no—
1136#125—794no—
1137#125—794no—
1138#125—798no—
1139#125—798no—
1140#125—798no—
1141#125—798no—
1142#125—798no—
1143#125—798no—
1144#125—798no—
1145#125—792no—
1146#125—792no—
1147#125—794no—
1148#125—798no—
1149#125—798no—
1150#125C22×D7912yes—
1151#124—792no—
1152#124—792no—
1153#124—792no—
1154#124—792no—
1155#124—792no—
1156#124—792no—
1157#124—794no—
1158#124—794no—
1159#124—798no—
1160#124—798no—
1161#124—798no—
1162#124—798no—
1163#124—798no—
1164#124C22×D7912yes—
1165#124C22×D7914yes—
1166#124C22×D7918yes—
1167#123—794no—
1168#123—798no—
1169#123—798no—
1170#123—798no—
1171#123—798no—
1172#123—798no—
1173#123—798no—
1174#123—798no—
1175#123—798no—
1176#123—798no—
1177#123—794no—
1178#123—794no—
1179#123—794no—
1180#123—794no—
1181#123—794no—
1182#123—794no—
1183#123—798no—
1184#123—798no—
1185#123—798no—
1186#123C22×D7918yes—
1187#123C22×D7918yes—
1188C22⋊Q8—792no—
1189C22⋊Q8—792no—
1190C22⋊Q8—792no—
1191C22⋊Q8—792no—
1192C22⋊Q8—792no—
1193C22⋊Q8—792no—
1194C22⋊Q8—792no—
1195C22⋊Q8—798no—
1196C22⋊Q8—794no—
1197C22⋊Q8—794no—
1198C22⋊Q8—798no—
1199C22⋊Q8—792no—
1200C22⋊Q8—794no—
1201C22⋊Q8—794no—
1202C22⋊Q8—798no—
1203C22⋊Q8—798no—
1204C22⋊Q8—798no—
1205C22⋊Q8—792no—
1206C22⋊Q8—792no—
1207C22⋊Q8—792no—
1208C22⋊Q8—792no—
1209C22⋊Q8—792no—
1210C22⋊Q8—794no—
1211C22⋊Q8—792no—
1212C22⋊Q8—794no—
1213C22⋊Q8—792no—
1214C22⋊Q8—792no—
1215C22⋊Q8—798no—
1216C22⋊Q8—794no—
1217C22⋊Q8—794no—
1218C22⋊Q8—798no—
1219C22⋊Q8—798no—
1220C22⋊Q8—798no—
1221C22⋊Q8—798no—
1222C22⋊Q8—798no—
1223C22⋊Q8—798no—
1224C22⋊Q8—798no—
1225C22⋊Q8—798no—
1226C22⋊Q8—798no—
1227C22⋊Q8—798no—
1228C22⋊Q8—798no—
1229C22⋊Q8—798no—
1230C22⋊Q8—798no—
1231C22⋊Q8C22×D7912yes—
1232C22⋊Q8C22×D7912yes—
1233C22⋊Q8C22×D7914yes—
1234#121—792no—
1235#121—792no—
1236#121—792no—
1237#121—792no—
1238#121—792no—
1239#121—792no—
1240#121—792no—
1241#121—792no—
1242#121—798no—
1243#121—798no—
1244#121—798no—
1245#121C22×D7912yes—
1246#121C22×D7912yes—
1247#121C22×D7914yes—
1248#121C22×D7914yes—
1249#121C22×D7914yes—
1250#121C22×D7918yes—
1251#120—794no—
1252#120C22×D7918yes—
1253C4×Q8—792no—
1254C4×Q8—792no—
1255C4×Q8—792no—
1256C4×Q8—792no—
1257C4×Q8—794no—
1258C4×Q8—794no—
1259C4×Q8—792no—
1260C4×Q8—794no—
1261C4×Q8—792no—
1262C4×Q8—794no—
1263C4×Q8—792no—
1264C4×Q8—792no—
1265C4×Q8—794no—
1266C4×Q8—794no—
1267C4×Q8—794no—
1268C4×Q8—794no—
1269C4×Q8—798no—
1270C4×Q8—792no—
1271C4×Q8—792no—
1272C4×Q8—792no—
1273C4×Q8—792no—
1274C4×Q8—792no—
1275C4×Q8—792no—
1276C4×Q8—794no—
1277C4×Q8—794no—
1278C4×Q8—792no—
1279C4×Q8—792no—
1280C4×Q8—794no—
1281C4×Q8—798no—
1282C4×Q8—798no—
1283C4×Q8—794no—
1284C4×Q8—798no—
1285C4×Q8C22×D7912yes—
1286C4×Q8C22×D7912yes—
1287C4×Q8C22×D7914yes—
1288C4×D4—792no—
1289C4×D4—794no—
1290C4×D4—794no—
1291C4×D4—792no—
1292C4×D4—792no—
1293C4×D4—792no—
1294C4×D4—794no—
1295C4×D4—794no—
1296C4×D4—794no—
1297C4×D4—794no—
1298C4×D4—798no—
1299C4×D4—798no—
1300C4×D4—798no—
1301C4×D4—794no—
1302C4×D4—794no—
1303C4×D4—798no—
1304C4×D4—794no—
1305C4×D4—794no—
1306C4×D4—794no—
1307C4×D4—794no—
1308C4×D4—794no—
1309C4×D4—794no—
1310C4×D4—798no—
1311C4×D4—794no—
1312C4×D4—794no—
1313C4×D4—798no—
1314C4×D4C22×D7912yes—
1315C4×D4C22×D7912yes—
1316C4×D4C22×D7912yes—
1317C4×D4C22×D7912yes—
1318C4×D4C22×D7912yes—
1319C4×D4C22×D7912yes—
1320C4×D4C22×D7918yes—
1321C4×D4C22×D7918yes—
1322C4×D4C22×D7914yes—
1323#117—792no—
1324#117—794no—
1325#117—794no—
1326#117—794no—
1327#117—794no—
1328#117—792no—
1329#117—794no—
1330#117—798no—
1331#117—794no—
1332#117—792no—
1333#117—792no—
1334#117—792no—
1335#117—792no—
1336#117—794no—
1337#117—794no—
1338#117—794no—
1339#117—798no—
1340#117—798no—
1341#117—798no—
1342#117—798no—
1343#117—798no—
1344#117—794no—
1345#117—798no—
1346#117C22×D7912yes—
1347#117C22×D7914yes—
1348#117C22×D7914yes—
1349C2×C4⋊C4—792no—
1350C2×C4⋊C4—792no—
1351C2×C4⋊C4—792no—
1352C2×C4⋊C4—791no—
1353C2×C4⋊C4—792no—
1354C2×C4⋊C4—798no—
1355C2×C4⋊C4—794no—
1356C2×C4⋊C4—798no—
1357C2×C4⋊C4—798no—
1358C2×C4⋊C4—794no—
1359C2×C4⋊C4—792no—
1360C2×C4⋊C4—792no—
1361C2×C4⋊C4—794no—
1362C2×C4⋊C4—794no—
1363C2×C4⋊C4—792no—
1364C2×C4⋊C4—792no—
1365C2×C4⋊C4C22×D7911yescharacteristic
1366C2×C4⋊C4C22×D7914yes—
1367C2×C22⋊C4—792no—
1368C2×C22⋊C4—792no—
1369C2×C22⋊C4—792no—
1370C2×C22⋊C4—798no—
1371C2×C22⋊C4—792no—
1372C2×C22⋊C4—794no—
1373C2×C22⋊C4C22×D7912yes—
1374C2×C42—791no—
1375C2×C42—792no—
1376C2×C42—794no—
1377C2×C42—791no—
1378C2×C42—791no—
1379C2×C42—794no—
1380C2×C42—791no—
1381C2×C42—791no—
1382C2×C42—791no—
1383C2×C42—791no—
1384C2×C42—791no—
1385C2×C42—791no—
1386C2×C42—791no—
1387C2×C42—791no—
1388C2×C42C22×D7911yescharacteristic
1389C24—791no—
1390C24C23×D7912yes—
1391#41—28no—
1392#41—48no—
1393#41—3164no—
1394#41—3164no—
1395#41—31616no—
1396C2×Q8—3168no—
1397C2×Q8—3164no—
1398C2×Q8—3164no—
1399C2×Q8—792no—
1400C2×Q8—798no—
1401C2×Q8—794no—
1402C2×Q8—794no—
1403C2×Q8—792no—
1404C2×Q8—798no—
1405C2×Q8—792no—
1406C2×Q8—792no—
1407C2×Q8—792no—
1408C2×Q8—792no—
1409C2×Q8—1584no—
1410C2×Q8C23×D7912yes—
1411C2×Q8C23×D7912yes—
1412C2×Q8C23×D7912yes—
1413C2×D4—24no—
1414C2×D4—3164no—
1415C2×D4—794no—
1416C2×D4—794no—
1417C2×D4—794no—
1418C2×D4—794no—
1419C2×D4C23×D7914yes—
1420C2×D4C23×D7912yes—
1421C2×D4C23×D7912yes—
1422C2×D4C23×D7912yes—
1423C2×D4C23×D7912yes—
1424C2×D4C23×D7918yes—
1425C2×D4C23×D7918yes—
1426C2×D4C23×D7912yes—
1427C22×C4—44no—
1428C22×C4—3162no—
1429C22×C4—3162no—
1430C22×C4—791no—
1431C22×C4—791no—
1432C22×C4—792no—
1433C22×C4—794no—
1434C22×C4—794no—
1435C22×C4—798no—
1436C22×C4—798no—
1437C22×C4—798no—
1438C22×C4—791no—
1439C22×C4—791no—
1440C22×C4—791no—
1441C22×C4—791no—
1442C22×C4—794no—
1443C22×C4—791no—
1444C22×C4—792no—
1445C22×C4—791no—
1446C22×C4—791no—
1447C22×C4—791no—
1448C22×C4—791no—
1449C22×C4—791no—
1450C22×C4—791no—
1451C22×C4—791no—
1452C22×C4—791no—
1453C22×C4—794no—
1454C22×C4—1584no—
1455C22×C4C23×D7911yescharacteristic
1456C22×C4C23×D7914yes—
1457C22×C4C23×D7914yes—
1458C22×C4C23×D7911yescharacteristic
1459C22×C4C23×D7912yes—
1460C22×C4C23×D7918yes—
1461C22×C4C23×D7914yes—
1462C22×C4C23×D7911yescharacteristic
1463C4⋊C4—794no—
1464C4⋊C4—794no—
1465C4⋊C4—794no—
1466C4⋊C4—794no—
1467C4⋊C4—798no—
1468C4⋊C4—794no—
1469C4⋊C4—794no—
1470C4⋊C4—794no—
1471C4⋊C4—794no—
1472C4⋊C4—798no—
1473C4⋊C4—798no—
1474C4⋊C4—794no—
1475C4⋊C4—794no—
1476C4⋊C4—794no—
1477C4⋊C4—794no—
1478C4⋊C4—794no—
1479C4⋊C4—794no—
1480C4⋊C4—798no—
1481C4⋊C4—794no—
1482C4⋊C4—794no—
1483C4⋊C4—798no—
1484C4⋊C4—798no—
1485C4⋊C4—798no—
1486C4⋊C4—798no—
1487C4⋊C4—792no—
1488C4⋊C4—792no—
1489C4⋊C4—794no—
1490C4⋊C4—792no—
1491C4⋊C4—794no—
1492C4⋊C4—792no—
1493C4⋊C4—798no—
1494C4⋊C4—792no—
1495C4⋊C4—794no—
1496C4⋊C4—794no—
1497C4⋊C4—794no—
1498C4⋊C4—792no—
1499C4⋊C4—794no—
1500C4⋊C4—798no—
1501C4⋊C4—798no—
1502C4⋊C4—792no—
1503C4⋊C4—792no—
1504C4⋊C4—792no—
1505C4⋊C4—792no—
1506C4⋊C4—794no—
1507C4⋊C4—794no—
1508C4⋊C4C23×D7912yes—
1509C4⋊C4C23×D7912yes—
1510C4⋊C4C23×D7912yes—
1511C4⋊C4C23×D7914yes—
1512C4⋊C4C23×D7914yes—
1513C4⋊C4C23×D7912yes—
1514C4⋊C4C23×D7912yes—
1515C4⋊C4C23×D7912yes—
1516C4⋊C4C23×D7918yes—
1517C4⋊C4C23×D7912yes—
1518C4⋊C4C23×D7912yes—
1519C22⋊C4—794no—
1520C22⋊C4—794no—
1521C22⋊C4—794no—
1522C22⋊C4—794no—
1523C22⋊C4—794no—
1524C22⋊C4—794no—
1525C22⋊C4—794no—
1526C22⋊C4—798no—
1527C22⋊C4—798no—
1528C22⋊C4—794no—
1529C22⋊C4—794no—
1530C22⋊C4—798no—
1531C22⋊C4—794no—
1532C22⋊C4—794no—
1533C22⋊C4—794no—
1534C22⋊C4—798no—
1535C22⋊C4—798no—
1536C22⋊C4—794no—
1537C22⋊C4—794no—
1538C22⋊C4—794no—
1539C22⋊C4—794no—
1540C22⋊C4—794no—
1541C22⋊C4—794no—
1542C22⋊C4C23×D7914yes—
1543C22⋊C4C23×D7914yes—
1544C22⋊C4C23×D7914yes—
1545C22⋊C4C23×D7914yes—
1546C22⋊C4C23×D7918yes—
1547C22⋊C4C23×D7918yes—
1548C22⋊C4C23×D7914yes—
1549C22⋊C4C23×D7918yes—
1550C42—791no—
1551C42—791no—
1552C42—791no—
1553C42—791no—
1554C42—791no—
1555C42—791no—
1556C42—791no—
1557C42—791no—
1558C42—791no—
1559C42—791no—
1560C42—791no—
1561C42—791no—
1562C42—794no—
1563C42—794no—
1564C42—794no—
1565C42—794no—
1566C42—794no—
1567C42—794no—
1568C42—794no—
1569C42—794no—
1570C42—798no—
1571C42—798no—
1572C42—798no—
1573C42C23×D7911yescharacteristic
1574C42C23×D7911yescharacteristic
1575C42C23×D7911yescharacteristic
1576C42C23×D7911yescharacteristic
1577C42C23×D7914yes—
1578C42C23×D7918yes—
1579C23—24no—
1580C23—42no—
1581C23—42no—
1582C23—3161no—
1583C23—791no—
1584C23—791no—
1585C23—1582no—
1586C23—1582no—
1587C23C24×D7914yes—
1588C23C24×D7914yes—
1589C23C24×D7911yescharacteristic
1590Q8—24no—
1591Q8—24no—
1592Q8—42no—
1593Q8—3162no—
1594Q8—3164no—
1595Q8—3168no—
1596Q8—3164no—
1597Q8—3162no—
1598Q8—3168no—
1599Q8—1584no—
1600Q8—1584no—
1601Q8—1584no—
1602Q8—1584no—
1603D4—28no—
1604D4—24no—
1605D4—24no—
1606D4—24no—
1607D4—24no—
1608D4—48no—
1609D4—42no—
1610D4—48no—
1611D4—3164no—
1612D4—3164no—
1613D4—1588no—
1614D4—1588no—
1615C2×C4—28no—
1616C2×C4—22no—
1617C2×C4—28no—
1618C2×C4—44no—
1619C2×C4—42no—
1620C2×C4—41no—
1621C2×C4—48no—
1622C2×C4—3161no—
1623C2×C4—3161no—
1624C2×C4—3161no—
1625C2×C4—3161no—
1626C2×C4—3164no—
1627C2×C4—3161no—
1628C2×C4—3161no—
1629C2×C4—3162no—
1630C2×C4—3168no—
1631C2×C4—3164no—
1632C2×C4—3168no—
1633C2×C4—3168no—
1634C2×C4—3164no—
1635C2×C4—791no—
1636C2×C4—791no—
1637C2×C4—791no—
1638C2×C4—794no—
1639C2×C4—791no—
1640C2×C4—791no—
1641C2×C4—794no—
1642C2×C4—791no—
1643C2×C4—794no—
1644C2×C4—794no—
1645C2×C4—794no—
1646C2×C4—794no—
1647C2×C4—1582no—
1648C2×C4—1582no—
1649C2×C4—1588no—
1650C2×C4—1582no—
1651C2×C4—1584no—
1652C2×C4—1582no—
1653C2×C4—1582no—
1654C2×C4—1582no—
1655C2×C4—1582no—
1656C2×C4—1582no—
1657C2×C4—1582no—
1658C2×C4#1457920814yes—
1659C2×C4C24×D7911yescharacteristic
1660C2×C4C24×D7914yes—
1661C2×C4C24×D7914yes—
1662C2×C4C24×D7914yes—
1663C2×C4C24×D7911yescharacteristic
1664C2×C4C24×D7911yescharacteristic
1665C2×C4C24×D7914yes—
1666C2×C4C24×D7911yescharacteristic
1667C2×C4C24×D7911yescharacteristic
1668C2×C4C24×D7911yescharacteristic
1669C22—21no—
1670C22—21no—
1671C22—24no—
1672C22—24no—
1673C22—24no—
1674C22—24no—
1675C22—24no—
1676C22—24no—
1677C22—84no—
1678C22—3164no—
1679C22—792no—
1680C22—1581no—
1681C22—1581no—
1682C22—1581no—
1683C22—1581no—
1684C22—1581no—
1685C22C2×#1457920812yes—
1686C22C25×D7911yescharacteristic
1687C4—24no—
1688C4—21no—
1689C4—21no—
1690C4—24no—
1691C4—21no—
1692C4—24no—
1693C4—24no—
1694C4—1581no—
1695C4—1581no—
1696C4—1584no—
1697C4—1581no—
1698C4—1584no—
1699C4—1584no—
1700C4—1584no—
1701C4—1581no—
1702C4—1581no—
1703C4—1584no—
1704C4—1584no—
1705C4—1581no—
1706C4C2×#1457920812yes—
1707C4C2×#1457920812yes—
1708C4#1909939812yes—
1709C2—22no—
1710C2—44no—
1711C2—44no—
1712C2—3161no—
1713C2—1582no—
1714C2C22×#1457920811yescharacteristic
1715C2#585×D7911yescharacteristic
1716C2C2×#1909939811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3506C2
hypercenter#3506D79
hypocenterC79#62831
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3506

Complements

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

NH ≅ G/Ntype
1. #23778035C2semidirect
2. #23778026C2semidirect
3. #23777897C2semidirect
4. #23777876C2semidirect
5. #23777867C2semidirect
6. #23777838C2semidirect
7. #23777735C2semidirect
8. #23777598C2semidirect
9. #23777495C2semidirect
10. #23777480C2semidirect
11. #23777437C2semidirect
12. #23777416C2semidirect
13. #23777371C2semidirect
14. #23777369C2semidirect
15. #23777295C2semidirect
16. #23777262C2semidirect
17. #23777257C2semidirect
18. #23777222C2semidirect
19. #23777205C2semidirect
20. #23777203C2semidirect
21. #23777154C2semidirect
22. #23777153C2semidirect
23. #23777132C2semidirect
24. #23776695C2semidirect
25. #533×D79C2semidirect
26. C2×#19099095C2semidirect
27. C79×#3506C2semidirect
28. #19099316C22semidirect
29. #19099315C22semidirect
30. #19099313C22semidirect
31. #19099308C22semidirect
32. #19099299C22semidirect
33. #19099299C22semidirect
34. #19099299C22semidirect
35. Q8×Dic158C22semidirect
36. #19099293C22semidirect
37. #19099292C22semidirect
38. #19099291C22semidirect
39. #19099291C22semidirect
40. #19099290C22semidirect
41. #19099289C22semidirect
42. #19099288C22semidirect
43. #19099288C22semidirect
44. #19099283C22semidirect
45. #19099283C22semidirect
46. #19099282C22semidirect
47. #19099282C22semidirect
48. #19099282C22semidirect
49. #19099282C22semidirect
50. #19099281C22semidirect
51. #19099281C22semidirect
54. #19099272C22semidirect
55. #19099272C22semidirect
56. #19099272C22semidirect
58. #19099270C22semidirect
59. #19099270C22semidirect
60. #19099270C22semidirect
61. #19099270C22semidirect
62. #19099268C22semidirect
65. #19099255C22semidirect
67. #19099253C22semidirect
68. #19099253C22semidirect
69. #19099252C22semidirect
70. #19099252C22semidirect
71. #19099250C22semidirect
72. #19099250C22semidirect
73. #19099250C22semidirect
74. #19099249C22semidirect
75. #19099248C22semidirect
80. D4×Dic158C22semidirect
81. D4×Dic158C22semidirect
82. #19099226C22semidirect
83. #19099220C22semidirect
84. #19099219C22semidirect
86. #19099213C22semidirect
87. #19099213C22semidirect
88. #19099212C22semidirect
91. #19099194C22semidirect
94. #19099191C22semidirect
95. #19099191C22semidirect
98. #19099181C22semidirect
99. #19099180C22semidirect
100. #19099180C22semidirect
101. #19099180C22semidirect
102. #19099180C22semidirect
103. #19099180C22semidirect
104. #19099178C22semidirect
105. #19099177C22semidirect
106. #19099173C22semidirect
107. #19099173C22semidirect
108. #19099171C22semidirect
109. #19099170C22semidirect
110. #19099170C22semidirect
113. #19099158C22semidirect
114. #19099157C22semidirect
115. #19099156C22semidirect
116. #19099156C22semidirect
117. #19099155C22semidirect
119. #19099134C22semidirect
120. #19099133C22semidirect
123. #19099119C22semidirect
124. #19099118C22semidirect
125. #19099118C22semidirect
126. #19099118C22semidirect
127. #19099118C22semidirect
128. #19099117C22semidirect
129. #19099117C22semidirect
130. #19099117C22semidirect
132. #19099116C22semidirect
137. #19099111C22semidirect
138. #19099111C22semidirect
139. C4⋊Q8×D79C22semidirect
140. C4⋊Q8×D79C22semidirect
149. #19099095C22semidirect
150. #19099095C22semidirect
151. #19099095C22semidirect
155. #19099094C22semidirect
156. #19099094C22semidirect
158. #19099092C22semidirect
159. #19099092C22semidirect
162. C2×#14579152C22semidirect
163. #125×D79C22semidirect
175. #19099046C22semidirect
176. #19099042C22semidirect
178. #19099040C22semidirect
181. C4×#11929623C22semidirect
182. C4×#11929623C22semidirect
184. C4×Q8×D79C22semidirect
185. C4×Q8×D79C22semidirect
190. #559×C79C22semidirect
191. #556×C79C22semidirect
192. #555×C79C22semidirect
193. #553×C79C22semidirect
194. #550×C79C22semidirect
195. #547×C79C22semidirect
876. #3506D79semidirect
886. C79#62831semidirect
894. #559C2×D79semidirect
912. #556C2×D79semidirect
914. #555C2×D79semidirect
927. #553C2×D79semidirect
943. #550C2×D79semidirect
953. #547C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780352
#237780262
#237778972
#237778762
#237778672
#237778382
#237777352
#237775982
#237774952
#237774802
#237774372
#237774162
#237773712
#237773692
#237772952
#237772622
#237772572
#237772222
#237772052
#237772032
#237771542
#237771532
#237771322
#237766952
#533×D792
C2×#190990952
C79×#35062
#6283179