Finite Group Databasebeta

← #35196870

Subgroups — #35196870

Order 20224.

7220 conjugacy classes of subgroups.

The subgroup lattice has 2042 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777511C211yesmaximal, characteristic, complemented
2#23777501C211yesmaximal, characteristic, complemented
3#23777490C211yesmaximal, characteristic, complemented
4#23777479C211yesmaximal, characteristic, complemented
5#23777470C213yesmaximal, complemented
6#23777456C213yesmaximal, complemented
7#23777439C213yesmaximal, complemented
8#23777422C213yesmaximal, complemented
9#23777411C211yesmaximal, characteristic, complemented
10#23777400C211yesmaximal, characteristic, complemented
11#23777395C211yesmaximal, characteristic, complemented
12#23777385C211yesmaximal, characteristic, complemented
13#23777368C213yesmaximal, complemented
14#23777351C213yesmaximal, complemented
15#23777342C213yesmaximal, complemented
16#23777328C213yesmaximal, complemented
17#23776993C213yesmaximal, complemented
18#41×Dic158C211yesmaximal, characteristic, complemented
19#23776964C213yesmaximal, complemented
20#23776954C213yesmaximal, complemented
21#23776954C213yesmaximal, complemented
22#41×D316C211yesmaximal, characteristic, complemented
23#41×C22⋊D79C211yesmaximal, characteristic, complemented
24#41×C22⋊D79C211yesmaximal, characteristic, complemented
25#23776790C213yesmaximal, complemented
26#23776785C213yesmaximal, complemented
27#23776693C213yesmaximal, complemented
28C2×#19099091C213yesmaximal, complemented
29#23776599C211yesmaximal, characteristic, complemented
30C4×#41×D79C211yesmaximal, characteristic, complemented
31C79×#3428C211yesmaximal, characteristic, complemented
32C2×#41×D79C2211yescharacteristic
33C2×#41×D79C2211yescharacteristic
34#19099298C2213yescomplemented
35#19099296C2213yescomplemented
36#19099296C2213yescomplemented
37Q8×Dic158C2211yescharacteristic, complemented
38#19099292C2211yescharacteristic, complemented
39#19099291C2213yescomplemented
40#19099289C2211yescharacteristic, complemented
41#19099289C2211yescharacteristic, complemented
42#19099286C2213yescomplemented
43#19099285C2213yescomplemented
44#19099285C2213yescomplemented
45#19099283C2213yescomplemented
46#19099281C2213yescomplemented
47#19099281C2213yescomplemented
48#19099278C2213yescomplemented
49#19099276C2213yescomplemented
50#19099276C2213yescomplemented
51#19099273C2213yescomplemented
52#19099272C2213yescomplemented
53#19099272C2213yescomplemented
54#19099270C2213yescomplemented
55#19099268C2213yescomplemented
56#19099268C2213yescomplemented
57#19099263C2213yescomplemented
58#19099263C2213yescomplemented
59#19099262C2216yescomplemented
60#19099262C2216yescomplemented
61#19099261C2213yescomplemented
62#19099261C2213yescomplemented
63#19099259C2216yescomplemented
64#19099257C2213yescomplemented
65#19099257C2213yescomplemented
66#19099254C2213yescomplemented
67#19099254C2213yescomplemented
68#19099253C2216yescomplemented
69#19099252C2213yescomplemented
70#19099252C2213yescomplemented
71#19099248C2213yescomplemented
72#19099248C2213yescomplemented
73#19099246C2216yescomplemented
74#19099246C2216yescomplemented
75#19099242C2216yescomplemented
76#19099242C2216yescomplemented
77#19099239C2216yescomplemented
78#19099239C2216yescomplemented
79#19099237C2216yescomplemented
80#19099237C2216yescomplemented
81#19099235C2211yescharacteristic, complemented
82#19099234C2213yescomplemented
83#19099232C2211yescharacteristic, complemented
84#19099232C2211yescharacteristic, complemented
85Q8×D316C2211yescharacteristic, complemented
86D4×Dic158C2213yescomplemented
87Q8×C22⋊D79C2211yescharacteristic, complemented
88Q8×C22⋊D79C2211yescharacteristic, complemented
89#19099225C2211yescharacteristic, complemented
90#19099225C2211yescharacteristic, complemented
91#19099224C2211yescharacteristic, complemented
92#19099224C2211yescharacteristic, complemented
93#19099222C2216yescomplemented
94#19099220C2211yescharacteristic, complemented
95#19099220C2211yescharacteristic, complemented
96#19099218C2213yescomplemented
97#19099217C2213yescomplemented
98#19099214C2213yescomplemented
99#19099214C2213yescomplemented
100#19099212C2213yescomplemented
101#19099212C2213yescomplemented
102#19099209C2216yescomplemented
103#19099208C2213yescomplemented
104#19099208C2213yescomplemented
105#19099207C2213yescomplemented
106#19099207C2213yescomplemented
107#19099203C2216yescomplemented
108#19099203C2216yescomplemented
109#19099201C2213yescomplemented
110#19099201C2213yescomplemented
111D4×D316C2213yescomplemented
112D4×C22⋊D79C2213yescomplemented
113D4×C22⋊D79C2213yescomplemented
114#19099185C2213yescomplemented
115#19099185C2213yescomplemented
116#19099184C2213yescomplemented
117#19099184C2213yescomplemented
118#19099184C2213yescomplemented
119#19099184C2213yescomplemented
120#19099178C2213yescomplemented
121#19099178C2213yescomplemented
122#19099175C2213yescomplemented
123#19099175C2213yescomplemented
124#19099171C2213yescomplemented
125#19099171C2213yescomplemented
126#19099168C2213yescomplemented
127#19099168C2213yescomplemented
128#19099164C2213yescomplemented
129#19099164C2213yescomplemented
130#19099160C2216yescomplemented
131#19099160C2216yescomplemented
132#19099155C2216yescomplemented
133#19099155C2216yescomplemented
134#19099151C2216yescomplemented
135#19099151C2216yescomplemented
136#19099146C2216yescomplemented
137#19099146C2216yescomplemented
138#19099120C2213yescomplemented
139#19099117C2213yescomplemented
140#19099117C2213yescomplemented
141#19099116C2213yescomplemented
142#19099116C2213yescomplemented
143#19099113C2213yescomplemented
144#19099110C2213yescomplemented
145#19099110C2213yescomplemented
146#19099109C2213yescomplemented
147#19099109C2213yescomplemented
148#19099100C2213yescomplemented
149#19099100C2213yescomplemented
150#19099097C2216yescomplemented
151#19099097C2216yescomplemented
152#19099095C2213yescomplemented
153#19099095C2213yescomplemented
154#19099093C2216yescomplemented
155#19099093C2216yescomplemented
156#19099091C2213yes—
157#19099091C2211yescharacteristic
158#19099091C2213yescomplemented
159#19099091C2216yescomplemented
160#19099091C2213yescomplemented
161#19099091C2216yescomplemented
162#19099091C2216yescomplemented
163#19099091C2213yescomplemented
164#19099091C2213yescomplemented
165#19099091C2213yescomplemented
166#19099091C2213yescomplemented
167#19099091C2213yescomplemented
168#19099091C2213yescomplemented
169#19099091C2213yescomplemented
170#19099091C2213yescomplemented
171#19099091C2213yescomplemented
172#19099091C2213yescomplemented
173#19099091C2213yescomplemented
174#19099091C2213yescomplemented
175C2×#14579156C2213yescomplemented
176C2×#14579154C2213yescomplemented
177C2×#14579151C2213yescomplemented
178C2×#14579147C2213yescomplemented
179#19099075C2213yescomplemented
180#19099075C2213yescomplemented
181#19099074C2213yescomplemented
182#19099074C2213yescomplemented
183#19099072C2216yescomplemented
184#19099072C2216yescomplemented
185#19099070C2213yescomplemented
186#19099070C2213yescomplemented
187C2×#14579146C2213yescomplemented
188C2×#14579143C2213yescomplemented
189C2×#14579139C2213yescomplemented
190C2×#14579134C2213yes—
191#19099045C2211yescharacteristic, complemented
192#19099045C2211yescharacteristic, complemented
193#19099042C2213yescomplemented
194#19099042C2213yescomplemented
195#19099039C2211yescharacteristic, complemented
196#19099039C2211yescharacteristic, complemented
197#19099035C2213yescomplemented
198#19099035C2213yescomplemented
199#41×Dic79C2211yescharacteristic
200#41×Dic79C2211yescharacteristic
201C4×#11929625C2211yescharacteristic, complemented
202C4×#11929625C2211yescharacteristic, complemented
203C4×#11929624C2213yescomplemented
204C4×#11929624C2213yescomplemented
205C4×#11929624C2216yescomplemented
206C4×#11929624C2216yescomplemented
207#19099031C2213yescomplemented
208#19099031C2213yescomplemented
209C4×#11929623C2213yescomplemented
210C4×#11929623C2213yescomplemented
211C2×C4×Dic158C2213yescomplemented
212C4×Q8×D79C2211yescharacteristic, complemented
213C4×Q8×D79C2211yescharacteristic, complemented
214C2×C4×D316C2213yescomplemented
215C2×C4×C22⋊D79C2213yescomplemented
216C2×C4×C22⋊D79C2213yescomplemented
217C4×D4×D79C2213yescomplemented
218C4×D4×D79C2213yescomplemented
219C2×#14579118C2213yescomplemented
220#117×D79C2213yescomplemented
221#117×D79C2213yescomplemented
222C2×C42×D79C2213yescomplemented
223C22×#41×C79C2211yescharacteristic
224#520×C79C2213yescomplemented
225#520×C79C2211yescharacteristic, complemented
226#520×C79C2213yescomplemented
227#520×C79C2211yescharacteristic, complemented
228#519×C79C2211yescharacteristic, complemented
229#519×C79C2211yescharacteristic, complemented
230#518×C79C2213yescomplemented
231#518×C79C2213yescomplemented
232C4×#41×C79C2211yescharacteristic
233C4×#41×C79C2211yescharacteristic
234C4×#41×C79C2213yescomplemented
235C4×#41×C79C2213yescomplemented
236C2×#117×C79C2213yescomplemented
237C2×#117×C79C2213yescomplemented
238C2×#11929625C2311yescharacteristic
239C2×#11929625C2311yescharacteristic
240C2×#11929624C2313yes—
241C2×#11929624C2313yes—
242C2×#11929624C2316yes—
243C2×#11929624C2316yes—
244C2×#11929623C2313yes—
245C2×#11929623C2313yes—
246#41×D79—28no—
247#41×D79—28no—
248C22×Dic158C2313yes—
249C2×Q8×D79C2311yescharacteristic
250C2×Q8×D79C2311yescharacteristic
251C22×D316C2313yes—
252C22×C22⋊D79C2313yes—
253C22×C22⋊D79C2313yes—
254C2×D4×D79C2313yes—
255C2×D4×D79C2313yes—
256C22×C4×D79C2313yes—
257C22×C4×D79C2313yes—
258C22×C4×D79C2313yes—
259C22×C4×D79C2313yes—
260#14579161C2313yes—
261#14579161C2313yes—
262#14579161C2313yes—
263#14579160C2313yes—
264#14579160C2313yes—
265#14579160C2313yes—
266#14579160C2313yes—
267#14579159C2313yes—
268#14579159C2313yes—
269#14579158C2313yes—
270#14579157C2313yes—
271#14579157C2313yes—
272#14579156C2313yes—
273#14579156C2316yes—
274#14579156C2313yes—
275#14579156C2316yes—
276#14579156C2316yes—
277#14579156C2313yes—
278#14579156C2313yes—
279#14579156C2313yes—
280#14579156C2313yes—
281#14579156C2311yescharacteristic
282#14579156C2313yes—
283#14579155C2316yes—
284#14579155C2316yes—
285#14579155C2316yes—
286#14579155C2316yes—
287#14579154C2313yes—
288#14579154C2316yes—
289#14579154C2316yes—
290#14579154C2316yes—
291#14579154C2313yes—
292#14579154C2313yes—
293#14579154C2313yes—
294#14579154C2313yes—
295#14579154C2313yes—
296#14579154C2311yescharacteristic
297#14579154C2313yes—
298#14579153C2316yes—
299#14579153C2316yes—
300#14579153C2313yes—
301#14579153C2313yes—
302#14579152C2313yes—
303#14579152C2313yes—
304#14579152C2313yes—
305#14579152C2313yes—
306#14579151C2313yes—
307#14579151C2316yes—
308#14579151C2313yes—
309#14579151C2316yes—
310#14579151C2316yes—
311#14579151C2313yes—
312#14579151C2313yes—
313#14579151C2313yes—
314#14579151C2313yes—
315#14579151C2311yescharacteristic
316#14579151C2313yes—
317#14579150C2313yes—
318#14579150C2313yes—
319#14579149C2316yes—
320#14579149C2316yes—
321#14579149C2313yes—
322#14579149C2313yes—
323#14579148C2313yes—
324#14579148C2313yes—
325#14579147C2313yes—
326#14579147C2316yes—
327#14579147C2313yes—
328#14579147C2316yes—
329#14579147C2316yes—
330#14579147C2313yes—
331#14579147C2313yes—
332#14579147C2313yes—
333#14579147C2313yes—
334#14579147C2311yescharacteristic
335#14579147C2313yes—
336#14579146C2313yes—
337#14579146C2316yes—
338#14579146C2313yes—
339#14579146C2316yes—
340#14579146C2316yes—
341#14579146C2313yes—
342#14579146C2313yes—
343#14579146C2313yes—
344#14579146C2313yes—
345#14579146C2311yescharacteristic
346#14579146C2313yes—
347#14579145C2316yes—
348#14579145C2316yes—
349#14579144C2316yes—
350#14579144C2316yes—
351#14579144C2316yes—
352#14579144C2316yes—
353#14579144C2316yes—
354#14579144C2316yes—
355#14579143C2313yes—
356#14579143C2316yes—
357#14579143C2316yes—
358#14579143C2316yes—
359#14579143C2313yes—
360#14579143C2313yes—
361#14579143C2313yes—
362#14579143C2313yes—
363#14579143C2313yes—
364#14579143C2311yescharacteristic
365#14579143C2313yes—
366#14579142C2316yes—
367#14579142C2316yes—
368#14579141C2313yes—
369#14579141C2313yes—
370#14579141C2313yes—
371#14579141C2313yes—
372#14579140C2316yes—
373#14579140C2316yes—
374#14579140C2316yes—
375#14579140C2316yes—
376#14579140C2313yes—
377#14579140C2313yes—
378#14579140C2313yes—
379#14579140C2313yes—
380#14579139C2313yes—
381#14579139C2316yes—
382#14579139C2313yes—
383#14579139C2316yes—
384#14579139C2316yes—
385#14579139C2313yes—
386#14579139C2313yes—
387#14579139C2313yes—
388#14579139C2313yes—
389#14579139C2311yescharacteristic
390#14579139C2313yes—
391#14579138C2316yes—
392#14579138C2316yes—
393#14579138C2316yes—
394#14579138C2316yes—
395#14579137C2313yes—
396#14579137C2313yes—
397#14579137C2313yes—
398#14579137C2313yes—
399#14579136C2313yes—
400#14579136C2313yes—
401#14579136C2313yes—
402#14579136C2313yes—
403#14579135C2316yes—
404#14579135C2316yes—
405#14579135C2316yes—
406#14579135C2316yes—
407#14579135C2313yes—
408#14579135C2313yes—
409#14579135C2313yes—
410#14579135C2313yes—
411#14579134C2313yes—
412#14579134C2316yes—
413#14579134C2313yes—
414#14579134C2316yes—
415#14579134C2316yes—
416#14579134C2313yes—
417#14579134C2313yes—
418#14579134C2313yes—
419#14579134C2313yes—
420#14579134C2311yescharacteristic
421#14579134C2313yes—
422#14579133C2316yes—
423#14579133C2316yes—
424#14579133C2316yes—
425#14579133C2316yes—
426#14579132C2313yes—
427#14579132C2313yes—
428#14579132C2313yes—
429#14579132C2313yes—
430#14579131C2316yes—
431#14579131C2316yes—
432#14579130C2316yes—
433#14579130C2316yes—
434#14579129C2316yes—
435#14579129C2316yes—
436Q8×Dic79C2311yescharacteristic
437Q8×Dic79C2311yescharacteristic
438Q8×Dic79C2311yescharacteristic
439Q8×Dic79C2311yescharacteristic
440C4×Dic158C2313yes—
441C4×Dic158C2313yes—
442C4×Dic158C2313yes—
443C4×Dic158C2313yes—
444C4×Dic158C2316yes—
445C4×Dic158C2313yes—
446C4×Dic158C2313yes—
447C4×Dic158C2316yes—
448C4×Dic158C2313yes—
449C4×Dic158C2313yes—
450C4×Dic158C2311yescharacteristic
451C4×Dic158C2313yes—
452C4×Dic158C2313yes—
453C4×Dic158C2313yes—
454C4×Dic158C2316yes—
455#14579126C2313yes—
456#14579126C2313yes—
457#14579126C2313yes—
458#14579126C2313yes—
459C4×D316C2313yes—
460C4×D316C2313yes—
461C4×D316C2313yes—
462C4×D316C2313yes—
463C4×D316C2313yes—
464C4×D316C2313yes—
465C4×D316C2313yes—
466C4×D316C2316yes—
467C4×D316C2313yes—
468C4×D316C2316yes—
469C4×D316C2311yescharacteristic
470C4×D316C2313yes—
471C4×D316C2313yes—
472C4×D316C2313yes—
473C4×D316C2316yes—
474D4×Dic79C2313yes—
475D4×Dic79C2313yes—
476D4×Dic79C2313yes—
477D4×Dic79C2313yes—
478#14579123C2313yes—
479#14579123C2313yes—
480#14579123C2313yes—
481#14579123C2313yes—
482C4×C22⋊D79C2316yes—
483C4×C22⋊D79C2316yes—
484C4×C22⋊D79C2316yes—
485C4×C22⋊D79C2316yes—
486C4×C22⋊D79C2313yes—
487C4×C22⋊D79C2313yes—
488C4×C22⋊D79C2313yes—
489C4×C22⋊D79C2313yes—
490C4×C22⋊D79C2316yes—
491C4×C22⋊D79C2316yes—
492C4×C22⋊D79C2313yes—
493C4×C22⋊D79C2313yes—
494C4×C22⋊D79C2313yes—
495C4×C22⋊D79C2313yes—
496C4×C22⋊D79C2316yes—
497C4×C22⋊D79C2316yes—
498C4×C22⋊D79C2311yescharacteristic
499C4×C22⋊D79C2311yescharacteristic
500C4×C22⋊D79C2313yes—
501C4×C22⋊D79C2313yes—
502C4×C22⋊D79C2313yes—
503C4×C22⋊D79C2313yes—
504C4×C22⋊D79C2313yes—
505C4×C22⋊D79C2313yes—
506C4×C22⋊D79C2316yes—
507C4×C22⋊D79C2316yes—
508(C22⋊D79)⋊C4C2316yes—
509(C22⋊D79)⋊C4C2316yes—
510(C22⋊D79)⋊C4C2316yes—
511(C22⋊D79)⋊C4C2316yes—
512#14579120C2316yes—
513#14579120C2316yes—
514#14579120C2313yes—
515#14579120C2313yes—
516#14579119C2313yes—
517#14579119C2313yes—
518#14579119C2313yes—
519#14579119C2313yes—
520#14579118C2313yes—
521#14579118C2313yes—
522#14579118C2313yes—
523#14579118C2313yes—
524#14579118C2316yes—
525#14579118C2316yes—
526#14579118C2316yes—
527#14579118C2316yes—
528#14579118C2313yes—
529#14579118C2316yes—
530#14579118C2311yescharacteristic
531#14579118C2313yes—
532#14579118C2313yes—
533#14579117C2316yes—
534#14579117C2316yes—
535C2×C4⋊Dic79C2313yes—
536C2×C4⋊Dic79C2313yes—
537C2×Dic79⋊C4C2313yes—
538C2×Dic79⋊C4C2313yes—
539C2×Dic79⋊C4C2313yes—
540C2×Dic79⋊C4C2313yes—
541C2×Dic79⋊C4C2313yes—
542C2×Dic79⋊C4C2313yes—
543C4⋊C4×D79C2313yes—
544C4⋊C4×D79C2313yes—
545C4⋊C4×D79C2313yes—
546C4⋊C4×D79C2313yes—
547C2×C22⋊Dic79C2313yes—
548C2×C22⋊Dic79C2313yes—
549C2×(C2×D79)⋊C4C2313yes—
550C2×(C2×D79)⋊C4C2313yes—
551C2×(C2×D79)⋊C4C2313yes—
552C2×(C2×D79)⋊C4C2313yes—
553C2×(C2×D79)⋊C4C2313yes—
554C2×(C2×D79)⋊C4C2313yes—
555C22⋊C4×D79C2316yes—
556C22⋊C4×D79C2316yes—
557C2×C4×Dic79C2313yes—
558C2×C4×Dic79C2313yes—
559C2×C4×Dic79C2313yes—
560C2×C4×Dic79C2313yes—
561C42×D79C2311yescharacteristic
562C42×D79C2313yes—
563C42×D79C2313yes—
564C42×D79C2313yes—
565C42×D79C2313yes—
566C42×D79C2313yes—
567C42×D79C2313yes—
568C42×D79C2313yes—
569C42×D79C2316yes—
570C2×#41×C79—28no—
571C2×#41×C79C2313yes—
572C2×#41×C79C2311yescharacteristic
573C2×#41×C79C2313yes—
574C2×#41×C79C2311yescharacteristic
575C22×Q8×C79C2311yescharacteristic
576C22×D4×C79C2313yes—
577C23×C4×C79C2313yes—
578C4×Q8×C79C2313yes—
579C4×Q8×C79C2313yes—
580C4×Q8×C79C2311yescharacteristic
581C4×Q8×C79C2311yescharacteristic
582C4×Q8×C79C2311yescharacteristic
583C4×Q8×C79C2311yescharacteristic
584C4×Q8×C79C2313yes—
585C4×Q8×C79C2313yes—
586C4×D4×C79C2316yes—
587C4×D4×C79C2316yes—
588C4×D4×C79C2313yes—
589C4×D4×C79C2313yes—
590C4×D4×C79C2313yes—
591C4×D4×C79C2313yes—
592C4×D4×C79C2316yes—
593C4×D4×C79C2313yes—
594C4×D4×C79C2316yes—
595C4×D4×C79C2313yes—
596C4×D4×C79C2313yes—
597C4×D4×C79C2313yes—
598#117×C79C2313yes—
599#117×C79C2313yes—
600#117×C79C2313yes—
601#117×C79C2313yes—
602#117×C79C2311yescharacteristic
603#117×C79C2313yes—
604#117×C79C2313yes—
605#117×C79C2313yes—
606#117×C79C2313yes—
607#117×C79C2313yes—
608#117×C79C2313yes—
609#117×C79C2313yes—
610#117×C79C2316yes—
611C2×C4⋊C4×C79C2313yes—
612C2×C4⋊C4×C79C2313yes—
613C2×C4⋊C4×C79C2313yes—
614C2×C4⋊C4×C79C2313yes—
615C2×C22⋊C4×C79C2313yes—
616C2×C22⋊C4×C79C2313yes—
617C2×C22⋊C4×C79C2316yes—
618C2×C42×C79C2313yes—
619C2×C42×C79C2313yes—
620C2×C42×C79C2316yes—
621C23×D79C2413yes—
622C23×D79C2413yes—
623#11929625—24no—
624#11929625—24no—
625#11929624—212no—
626#11929624—212no—
627#11929624—412no—
628#11929624—412no—
629#11929623—212no—
630#11929623—212no—
631C2×Dic158—46no—
632C2×Dic158C2413yes—
633C2×Dic158C2413yes—
634C2×Dic158C2411yescharacteristic
635C2×Dic158C2413yes—
636C2×Dic158C2413yes—
637C2×Dic158C2413yes—
638C2×Dic158C2416yes—
639Q8×D79—24no—
640Q8×D79—24no—
641C2×D316—46no—
642C2×D316C2413yes—
643C2×D316C2413yes—
644C2×D316C2413yes—
645C2×D316C2411yescharacteristic
646C2×D316C2416yes—
647C2×D316C2413yes—
648C2×D316C2413yes—
649C2×C22⋊D79—46no—
650C2×C22⋊D79—46no—
651C2×C22⋊D79C2416yes—
652C2×C22⋊D79C2416yes—
653C2×C22⋊D79C2413yes—
654C2×C22⋊D79C2413yes—
655C2×C22⋊D79C2411yescharacteristic
656C2×C22⋊D79C2411yescharacteristic
657C2×C22⋊D79C2416yes—
658C2×C22⋊D79C2416yes—
659C2×C22⋊D79C2413yes—
660C2×C22⋊D79C2413yes—
661C2×C22⋊D79C2413yes—
662C2×C22⋊D79C2413yes—
663D4×D79—212no—
664D4×D79—212no—
665C22×Dic79C2413yes—
666C22×Dic79C2413yes—
667C22×Dic79C2413yes—
668C22×Dic79C2413yes—
669C22×Dic79C2413yes—
670C22×Dic79C2413yes—
671C2×C4×D79—212no—
672C2×C4×D79—212no—
673C2×C4×D79—46no—
674C2×C4×D79—46no—
675C2×C4×D79C2413yes—
676C2×C4×D79C2413yes—
677C2×C4×D79C2413yes—
678C2×C4×D79C2413yes—
679C2×C4×D79C2413yes—
680C2×C4×D79C2413yes—
681C2×C4×D79C2413yes—
682C2×C4×D79C2413yes—
683C2×C4×D79C2411yescharacteristic
684C2×C4×D79C2411yescharacteristic
685C2×C4×D79C2411yescharacteristic
686C2×C4×D79C2411yescharacteristic
687C2×C4×D79C2416yes—
688C2×C4×D79C2416yes—
689C2×C4×D79C2413yes—
690C2×C4×D79C2413yes—
691C2×C4×D79C2413yes—
692C2×C4×D79C2413yes—
693C4⋊Dic79C2413yes—
694C4⋊Dic79C2413yes—
695C4⋊Dic79C2413yes—
696C4⋊Dic79C2413yes—
697C4⋊Dic79C2411yescharacteristic
698C4⋊Dic79C2411yescharacteristic
699C4⋊Dic79C2413yes—
700C4⋊Dic79C2413yes—
701C4⋊Dic79C2413yes—
702C4⋊Dic79C2413yes—
703C4⋊Dic79C2413yes—
704C4⋊Dic79C2413yes—
705C4⋊Dic79C2416yes—
706C4⋊Dic79C2416yes—
707Dic79⋊C4C2413yes—
708Dic79⋊C4C2413yes—
709Dic79⋊C4C2416yes—
710Dic79⋊C4C2416yes—
711Dic79⋊C4C2411yescharacteristic
712Dic79⋊C4C2411yescharacteristic
713Dic79⋊C4C2411yescharacteristic
714Dic79⋊C4C2411yescharacteristic
715Dic79⋊C4C2411yescharacteristic
716Dic79⋊C4C2411yescharacteristic
717Dic79⋊C4C2413yes—
718Dic79⋊C4C2413yes—
719Dic79⋊C4C2413yes—
720Dic79⋊C4C2413yes—
721Dic79⋊C4C2413yes—
722Dic79⋊C4C2413yes—
723Dic79⋊C4C2413yes—
724Dic79⋊C4C2413yes—
725Dic79⋊C4C2413yes—
726Dic79⋊C4C2413yes—
727Dic79⋊C4C2413yes—
728Dic79⋊C4C2413yes—
729Dic79⋊C4C2413yes—
730Dic79⋊C4C2413yes—
731Dic79⋊C4C2413yes—
732Dic79⋊C4C2413yes—
733Dic79⋊C4C2416yes—
734Dic79⋊C4C2416yes—
735Dic79⋊C4C2416yes—
736Dic79⋊C4C2416yes—
737C22⋊Dic79C2416yes—
738C22⋊Dic79C2416yes—
739C22⋊Dic79C2411yescharacteristic
740C22⋊Dic79C2411yescharacteristic
741C22⋊Dic79C2413yes—
742C22⋊Dic79C2413yes—
743C22⋊Dic79C2413yes—
744C22⋊Dic79C2413yes—
745C22⋊Dic79C2413yes—
746C22⋊Dic79C2413yes—
747C22⋊Dic79C2416yes—
748C22⋊Dic79C2416yes—
749(C2×D79)⋊C4C2413yes—
750(C2×D79)⋊C4C2413yes—
751(C2×D79)⋊C4C2416yes—
752(C2×D79)⋊C4C2416yes—
753(C2×D79)⋊C4C2411yescharacteristic
754(C2×D79)⋊C4C2411yescharacteristic
755(C2×D79)⋊C4C2411yescharacteristic
756(C2×D79)⋊C4C2411yescharacteristic
757(C2×D79)⋊C4C2411yescharacteristic
758(C2×D79)⋊C4C2411yescharacteristic
759(C2×D79)⋊C4C2413yes—
760(C2×D79)⋊C4C2413yes—
761(C2×D79)⋊C4C2413yes—
762(C2×D79)⋊C4C2413yes—
763(C2×D79)⋊C4C2413yes—
764(C2×D79)⋊C4C2413yes—
765(C2×D79)⋊C4C2413yes—
766(C2×D79)⋊C4C2413yes—
767(C2×D79)⋊C4C2413yes—
768(C2×D79)⋊C4C2413yes—
769(C2×D79)⋊C4C2413yes—
770(C2×D79)⋊C4C2413yes—
771(C2×D79)⋊C4C2413yes—
772(C2×D79)⋊C4C2413yes—
773(C2×D79)⋊C4C2413yes—
774(C2×D79)⋊C4C2413yes—
775(C2×D79)⋊C4C2416yes—
776(C2×D79)⋊C4C2416yes—
777(C2×D79)⋊C4C2416yes—
778(C2×D79)⋊C4C2416yes—
779C4×Dic79C2411yescharacteristic
780C4×Dic79C2411yescharacteristic
781C4×Dic79C2411yescharacteristic
782C4×Dic79C2413yes—
783C4×Dic79C2413yes—
784C4×Dic79C2413yes—
785C4×Dic79C2413yes—
786C4×Dic79C2413yes—
787C4×Dic79C2413yes—
788C4×Dic79C2413yes—
789C4×Dic79C2413yes—
790C4×Dic79C2413yes—
791C4×Dic79C2413yes—
792C4×Dic79C2416yes—
793C4×Dic79C2416yes—
794C4×Dic79C2411yescharacteristic
795C4×Dic79C2413yes—
796C4×Dic79C2413yes—
797C24×C79C2413yes—
798#41×C79—24no—
799#41×C79—212no—
800#41×C79—212no—
801#41×C79#4118yescomplemented
802C2×Q8×C79—24no—
803C2×Q8×C79C2413yes—
804C2×Q8×C79C2411yescharacteristic
805C2×D4×C79—212no—
806C2×D4×C79C2416yes—
807C2×D4×C79C2413yes—
808C2×D4×C79C2413yes—
809C22×C4×C79—212no—
810C22×C4×C79C2413yes—
811C22×C4×C79C2413yes—
812C22×C4×C79C2413yes—
813C22×C4×C79C2411yescharacteristic
814C22×C4×C79C2413yes—
815C22×C4×C79C2413yes—
816C22×C4×C79C2416yes—
817C22×C4×C79C2416yes—
818C22×C4×C79C2413yes—
819C22×C4×C79C2413yes—
820C22×C4×C79C2413yes—
821C22×C4×C79C2413yes—
822C4⋊C4×C79C2411yescharacteristic
823C4⋊C4×C79C2413yes—
824C4⋊C4×C79C2413yes—
825C4⋊C4×C79C2411yescharacteristic
826C4⋊C4×C79C2413yes—
827C4⋊C4×C79C2413yes—
828C4⋊C4×C79C2413yes—
829C4⋊C4×C79C2413yes—
830C4⋊C4×C79C2413yes—
831C4⋊C4×C79C2413yes—
832C4⋊C4×C79C2413yes—
833C4⋊C4×C79C2413yes—
834C22⋊C4×C79C2411yescharacteristic
835C22⋊C4×C79C2413yes—
836C22⋊C4×C79C2413yes—
837C22⋊C4×C79C2411yescharacteristic
838C22⋊C4×C79C2416yes—
839C22⋊C4×C79C2416yes—
840C22⋊C4×C79C2413yes—
841C22⋊C4×C79C2413yes—
842C22⋊C4×C79C2413yes—
843C22⋊C4×C79C2413yes—
844C42×C79C2411yescharacteristic
845C42×C79C2413yes—
846C42×C79C2411yescharacteristic
847C42×C79C2413yes—
848C42×C79C2413yes—
849C42×C79C2413yes—
850C42×C79C2416yes—
851C42×C79C2416yes—
852C42×C79C2413yes—
853C42×C79C2413yes—
854C23×C79—26no—
855C23×C79—43no—
856C23×C79—43no—
857C23×C79C2511yescharacteristic
858C23×C79C2513yes—
859C23×C79C2513yes—
860C22×D79—26no—
861C22×D79—26no—
862C22×D79—26no—
863C22×D79—43no—
864C22×D79—43no—
865C22×D79—43no—
866C22×D79C2511yescharacteristic
867C22×D79C2513yes—
868C22×D79C2513yes—
869C22×D79C2511yescharacteristic
870Q8×C79—26no—
871Q8×C79C2×#4114yes—
872D4×C79—212no—
873D4×C79—26no—
874D4×C79C2×#41112yes—
875C2×C4×C79—26no—
876C2×C4×C79—22no—
877C2×C4×C79—26no—
878C2×C4×C79—26no—
879C2×C4×C79—26no—
880C2×C4×C79—43no—
881C2×C4×C79—43no—
882C2×C4×C79—43no—
883C2×C4×C79—43no—
884C2×C4×C79—46no—
885C2×C4×C79—46no—
886C2×C4×C79C2×#41112yes—
887C2×C4×C79C2511yescharacteristic
888C2×C4×C79C2511yescharacteristic
889C2×C4×C79C2513yes—
890C2×C4×C79C2513yes—
891C2×C4×C79C2513yes—
892C2×C4×C79C2511yescharacteristic
893C2×C4×C79C2511yescharacteristic
894C2×C4×C79C2513yes—
895C2×C4×C79C2513yes—
896C2×C4×C79C2511yescharacteristic
897C2×C4×C79C2513yes—
898C2×C4×C79C2511yescharacteristic
899C22⋊D79—212no—
900C22⋊D79—212no—
901C22⋊D79—22no—
902C22⋊D79—26no—
903C22⋊D79—22no—
904C22⋊D79—26no—
905C22⋊D79—43no—
906C22⋊D79—43no—
907C22⋊D79—43no—
908C22⋊D79—43no—
909C22⋊D79—46no—
910C22⋊D79—46no—
911C2×Dic79—26no—
912C2×Dic79—26no—
913C2×Dic79—26no—
914C2×Dic79—43no—
915C2×Dic79—43no—
916C2×Dic79—43no—
917C2×Dic79C2511yescharacteristic
918C2×Dic79C2511yescharacteristic
919C2×Dic79C2511yescharacteristic
920C2×Dic79C2513yes—
921C2×Dic79C2513yes—
922C2×Dic79C2513yes—
923C2×Dic79C2513yes—
924C2×Dic79C2513yes—
925C2×Dic79C2513yes—
926C2×Dic79C2511yescharacteristic
927C2×Dic79C2511yescharacteristic
928C2×Dic79C2511yescharacteristic
929D316—22no—
930D316—26no—
931D316—26no—
932D316—26no—
933D316—43no—
934D316—43no—
935D316—46no—
936C4×D79—22no—
937C4×D79—26no—
938C4×D79—22no—
939C4×D79—22no—
940C4×D79—26no—
941C4×D79—26no—
942C4×D79—26no—
943C4×D79—26no—
944C4×D79—26no—
945C4×D79—26no—
946C4×D79—22no—
947C4×D79—26no—
948C4×D79—43no—
949C4×D79—43no—
950C4×D79—43no—
951C4×D79—43no—
952C4×D79—46no—
953C4×D79—46no—
954Dic158—26no—
955Dic158—26no—
956Dic158—22no—
957Dic158—26no—
958Dic158—43no—
959Dic158—43no—
960Dic158—46no—
961C22×C79—23no—
962C22×C79—23no—
963C22×C79—21no—
964C22×C79—23no—
965C22×C79—23no—
966C22×C79—23no—
967C22×C79—21no—
968C22×C79—21no—
969C22×C79—86no—
970C22×C79C22×#4116yes—
971C22×C79C2611yescharacteristic
972C2×D79—21no—
973C2×D79—21no—
974C2×D79—23no—
975C2×D79—23no—
976C2×D79—21no—
977C2×D79—21no—
978C2×D79—23no—
979C2×D79—23no—
980C2×D79—23no—
981C2×D79—23no—
982C2×D79—21no—
983C2×D79—412no—
984C2×D79—86no—
985C2×D79#58512yes—
986C4×C79—21no—
987C4×C79—23no—
988C4×C79—21no—
989C4×C79—23no—
990C4×C79—23no—
991C4×C79—21no—
992C4×C79—23no—
993C4×C79—21no—
994C4×C79—23no—
995C4×C79—21no—
996C4×C79C22×#4112yes—
997C4×C79C22×#4116yes—
998Dic79—23no—
999Dic79—23no—
1000Dic79—21no—
1001Dic79—21no—
1002Dic79—21no—
1003Dic79—23no—
1004Dic79—23no—
1005Dic79—23no—
1006Dic79—23no—
1007Dic79—21no—
1008Dic79—21no—
1009Dic79#58512yes—
1010#62816—791nomaximal, Sylow
1011C2×C79—26no—
1012C2×C79—43no—
1013C2×C79—41no—
1014C2×C79C23×#4111yescharacteristic
1015C2×C79C2×#58511yescharacteristic
1016C2×C79C2×#58511yescharacteristic
1017D79—22no—
1018D79—43no—
1019D79—43no—
1020D79—41no—
1021#3524—791no—
1022#3524—791no—
1023#3523—791no—
1024#3522—791no—
1025#3521—793no—
1026#3521—793no—
1027#3520—793no—
1028#3519—793no—
1029#3518—791no—
1030#3517—791no—
1031#3516—791no—
1032#3516—791no—
1033#3515—793no—
1034#3514—793no—
1035#3513—793no—
1036#3513—793no—
1037#3480—793no—
1038Q8×#41—791no—
1039#3475—793no—
1040#3475—793no—
1041#3475—793no—
1042D4×#41—791no—
1043D4×#41—791no—
1044D4×#41—791no—
1045#3455—793no—
1046#3455—793no—
1047#3444—793no—
1048C2×#529—793no—
1049#3428—791no—
1050#3428D7911yescharacteristic, complemented
1051C2×C4×#41—791no—
1052C79#6281611yescharacteristic, complemented, Sylow
1053C22×#41—791no—
1054C22×#41—791no—
1055C22×#41C2×D7911yescharacteristic
1056#559—793no—
1057#559—793no—
1058#559—793no—
1059Q82—791no—
1060#557—791no—
1061#557—791no—
1062#557—791no—
1063#557—793no—
1064#556—793no—
1065#556—793no—
1066#556—793no—
1067#556—793no—
1068#556—793no—
1069#556—793no—
1070#555—793no—
1071#555—793no—
1072#555—793no—
1073#554—793no—
1074#554—793no—
1075#554—793no—
1076#554—793no—
1077#554—793no—
1078#554—793no—
1079#553—796no—
1080#553—796no—
1081#553—796no—
1082#553—793no—
1083#553—793no—
1084#553—793no—
1085#553—793no—
1086#553—793no—
1087#553—793no—
1088#552—793no—
1089#552—793no—
1090#552—796no—
1091#552—796no—
1092#552—796no—
1093#552—793no—
1094#552—793no—
1095#552—793no—
1096#552—793no—
1097#551—796no—
1098#551—796no—
1099#551—796no—
1100#551—796no—
1101#551—796no—
1102#551—796no—
1103#550—791no—
1104#550—791no—
1105#550—791no—
1106#550—793no—
1107D4×Q8—791no—
1108D4×Q8—791no—
1109D4×Q8—791no—
1110D4×Q8—793no—
1111#548—791no—
1112#548—791no—
1113#548—791no—
1114#548—791no—
1115#548—791no—
1116#548—791no—
1117#548—796no—
1118#547—793no—
1119#547—793no—
1120#547—793no—
1121#547—793no—
1122#547—793no—
1123#547—793no—
1124#546—793no—
1125#546—793no—
1126#546—793no—
1127#546—793no—
1128#546—793no—
1129#546—793no—
1130#546—796no—
1131#546—796no—
1132#546—796no—
1133D42—793no—
1134D42—793no—
1135D42—793no—
1136#542—793no—
1137#542—793no—
1138#542—793no—
1139#542—793no—
1140#542—793no—
1141#542—793no—
1142#542—793no—
1143#542—793no—
1144#541—793no—
1145#541—793no—
1146#541—793no—
1147#541—793no—
1148#540—793no—
1149#540—793no—
1150#540—793no—
1151#540—793no—
1152#539—796no—
1153#539—796no—
1154#539—796no—
1155#539—796no—
1156#538—796no—
1157#538—796no—
1158#538—796no—
1159#538—796no—
1160#533—793no—
1161#533—793no—
1162#533—793no—
1163#533—793no—
1164#533—793no—
1165#532—793no—
1166#532—793no—
1167#532—793no—
1168#532—793no—
1169#532—793no—
1170#529—793no—
1171#529—793no—
1172#529—793no—
1173#529—796no—
1174#529—796no—
1175#529—793no—
1176#529—791no—
1177#529—793no—
1178#529—793no—
1179#529—793no—
1180#529—793no—
1181#529—793no—
1182#529—793no—
1183#529—793no—
1184#529—793no—
1185#529—793no—
1186#529—793no—
1187#529—793no—
1188#529—793no—
1189#529—793no—
1190#529—793no—
1191#529—793no—
1192#529—796no—
1193#529—796no—
1194#529—796no—
1195#529—796no—
1196#529—796no—
1197C2×#126—793no—
1198C2×#126—793no—
1199C2×#125—793no—
1200C2×#124—793no—
1201#525—793no—
1202#525—793no—
1203#525—793no—
1204#525—793no—
1205#525—796no—
1206#525—796no—
1207#525—793no—
1208#525—793no—
1209C2×#123—793no—
1210C2×#123—793no—
1211C2×C22⋊Q8—793no—
1212C2×#121—793no—
1213#520—791no—
1214#520—791no—
1215#520—793no—
1216#520—793no—
1217#520C2×D7913yescomplemented
1218#520C2×D7911yescharacteristic, complemented
1219#520C2×D7913yescomplemented
1220#520C2×D7911yescharacteristic, complemented
1221#519—791no—
1222#519—791no—
1223#519C2×D7911yescharacteristic, complemented
1224#519C2×D7911yescharacteristic, complemented
1225#518—793no—
1226#518—793no—
1227#518C2×D7913yescomplemented
1228#518C2×D7913yescomplemented
1229C4×#41—791no—
1230C4×#41—791no—
1231C4×#41—791no—
1232C4×#41—791no—
1233C4×#41—793no—
1234C4×#41—793no—
1235C4×#41—793no—
1236C4×#41—793no—
1237C4×#41—793no—
1238C4×#41—793no—
1239C4×#41—796no—
1240C4×#41—796no—
1241C4×#41C2×D7911yescharacteristic
1242C4×#41C2×D7911yescharacteristic
1243C4×#41C2×D7913yescomplemented
1244C4×#41C2×D7913yescomplemented
1245C2×C4×Q8—791no—
1246C2×C4×Q8—791no—
1247C2×C4×Q8—793no—
1248C2×C4×D4—793no—
1249C2×C4×D4—793no—
1250C2×C4×D4—793no—
1251C2×C4×D4—793no—
1252C2×C4×D4—793no—
1253C2×#117—793no—
1254C2×#117—793no—
1255C2×#117—793no—
1256C2×#117C2×D7913yescomplemented
1257C2×#117C2×D7913yescomplemented
1258C22×C42—793no—
1259C2×#41—28no—
1260C2×#41—791no—
1261C2×#41—791no—
1262C2×#41—793no—
1263C2×#41—793no—
1264C2×#41—796no—
1265C2×#41—796no—
1266C2×#41—793no—
1267C2×#41—793no—
1268C2×#41—1588no—
1269C2×#41—1588no—
1270C2×#41C22×D7913yes—
1271C2×#41C22×D7913yes—
1272C2×#41C22×D7911yescharacteristic
1273C2×#41C22×D7911yescharacteristic
1274C22×Q8—791no—
1275C22×Q8—791no—
1276C22×Q8—793no—
1277C22×Q8C22×D7911yescharacteristic
1278C22×D4—793no—
1279C22×D4—793no—
1280C22×D4—793no—
1281C22×D4—793no—
1282C22×D4—793no—
1283C22×D4C22×D7913yes—
1284C23×C4—793no—
1285C23×C4—793no—
1286C23×C4—793no—
1287C23×C4—793no—
1288C23×C4C22×D7913yes—
1289C4⋊Q8—793no—
1290C4⋊Q8—793no—
1291C4⋊Q8—793no—
1292C4⋊Q8—793no—
1293C4⋊Q8—793no—
1294C4⋊Q8—793no—
1295C4⋊Q8—793no—
1296C4⋊Q8—793no—
1297C4⋊Q8—793no—
1298#127—793no—
1299#127—793no—
1300#127—793no—
1301#126—791no—
1302#126—793no—
1303#126—793no—
1304#126—793no—
1305#126—793no—
1306#126—793no—
1307#126—793no—
1308#126—793no—
1309#126—796no—
1310#126—796no—
1311#126—796no—
1312#126—791no—
1313#126—793no—
1314#126—793no—
1315#126—793no—
1316#126—793no—
1317#126—793no—
1318#126—793no—
1319#126—793no—
1320#126—796no—
1321#126—796no—
1322#126—796no—
1323#126—796no—
1324#126—796no—
1325#126—796no—
1326#126—796no—
1327#125—791no—
1328#125—793no—
1329#125—793no—
1330#125—793no—
1331#125—793no—
1332#125—793no—
1333#125—793no—
1334#125—793no—
1335#125—796no—
1336#125—793no—
1337#125—793no—
1338#125—796no—
1339#125—796no—
1340#125—793no—
1341#125—793no—
1342#125—796no—
1343#125—796no—
1344#125—793no—
1345#125—793no—
1346#124—793no—
1347#124—793no—
1348#124—793no—
1349#124—793no—
1350#124—791no—
1351#124—793no—
1352#124—793no—
1353#124—793no—
1354#124—793no—
1355#124—793no—
1356#124—793no—
1357#124—793no—
1358#124—796no—
1359#124—796no—
1360#124—796no—
1361#124—796no—
1362#124—796no—
1363#124—793no—
1364#124—793no—
1365#123—796no—
1366#123—796no—
1367#123—796no—
1368#123—796no—
1369#123—796no—
1370#123—796no—
1371#123—796no—
1372#123—796no—
1373#123—791no—
1374#123—793no—
1375#123—793no—
1376#123—793no—
1377#123—793no—
1378#123—793no—
1379#123—793no—
1380#123—793no—
1381#123—796no—
1382#123—796no—
1383#123—796no—
1384#123—791no—
1385#123—793no—
1386#123—793no—
1387#123—793no—
1388#123—793no—
1389#123—793no—
1390#123—793no—
1391#123—793no—
1392#123—796no—
1393#123—796no—
1394#123—796no—
1395#123—796no—
1396#123—796no—
1397C22⋊Q8—793no—
1398C22⋊Q8—793no—
1399C22⋊Q8—793no—
1400C22⋊Q8—793no—
1401C22⋊Q8—793no—
1402C22⋊Q8—793no—
1403C22⋊Q8—793no—
1404C22⋊Q8—793no—
1405C22⋊Q8—796no—
1406C22⋊Q8—796no—
1407C22⋊Q8—796no—
1408C22⋊Q8—796no—
1409C22⋊Q8—791no—
1410C22⋊Q8—793no—
1411C22⋊Q8—793no—
1412C22⋊Q8—793no—
1413C22⋊Q8—793no—
1414C22⋊Q8—793no—
1415C22⋊Q8—793no—
1416C22⋊Q8—793no—
1417C22⋊Q8—796no—
1418C22⋊Q8—793no—
1419C22⋊Q8—793no—
1420C22⋊Q8—793no—
1421C22⋊Q8—793no—
1422C22⋊Q8—796no—
1423C22⋊Q8—796no—
1424C22⋊Q8—796no—
1425C22⋊Q8—796no—
1426C22⋊Q8—796no—
1427C22⋊Q8—796no—
1428#121—793no—
1429#121—796no—
1430#121—796no—
1431#121—793no—
1432#121—793no—
1433#121—793no—
1434#121—796no—
1435#121—796no—
1436#121—793no—
1437#121—793no—
1438#121—793no—
1439#121—793no—
1440#121—796no—
1441#121—796no—
1442#121—796no—
1443#121—796no—
1444#121—793no—
1445#121—793no—
1446#121—793no—
1447#121—793no—
1448#121—791no—
1449#121—793no—
1450#121—793no—
1451#121—793no—
1452#121—793no—
1453#121—793no—
1454#121—793no—
1455#121—793no—
1456#121—796no—
1457#121—796no—
1458#121—796no—
1459#120—796no—
1460#120—796no—
1461#120—796no—
1462#120—796no—
1463#120—796no—
1464#120—796no—
1465C4×Q8—791no—
1466C4×Q8—791no—
1467C4×Q8—791no—
1468C4×Q8—791no—
1469C4×Q8—793no—
1470C4×Q8—793no—
1471C4×Q8—793no—
1472C4×Q8—793no—
1473C4×Q8—791no—
1474C4×Q8—793no—
1475C4×Q8—793no—
1476C4×Q8—793no—
1477C4×Q8—793no—
1478C4×Q8—793no—
1479C4×Q8—793no—
1480C4×Q8—793no—
1481C4×Q8—793no—
1482C4×Q8—793no—
1483C4×Q8—793no—
1484C4×Q8—793no—
1485C4×Q8—796no—
1486C4×Q8—796no—
1487C4×Q8—796no—
1488C4×Q8C22×D7911yescharacteristic
1489C4×Q8C22×D7911yescharacteristic
1490C4×Q8C22×D7911yescharacteristic
1491C4×Q8C22×D7911yescharacteristic
1492C4×Q8C22×D7913yes—
1493C4×Q8C22×D7913yes—
1494C4×Q8C22×D7913yes—
1495C4×Q8C22×D7913yes—
1496C4×D4—793no—
1497C4×D4—793no—
1498C4×D4—793no—
1499C4×D4—793no—
1500C4×D4—791no—
1501C4×D4—791no—
1502C4×D4—793no—
1503C4×D4—793no—
1504C4×D4—796no—
1505C4×D4—796no—
1506C4×D4—793no—
1507C4×D4—793no—
1508C4×D4—793no—
1509C4×D4—793no—
1510C4×D4—793no—
1511C4×D4—793no—
1512C4×D4—793no—
1513C4×D4—793no—
1514C4×D4—793no—
1515C4×D4—793no—
1516C4×D4—793no—
1517C4×D4—793no—
1518C4×D4—796no—
1519C4×D4—796no—
1520C4×D4—796no—
1521C4×D4—796no—
1522C4×D4—796no—
1523C4×D4—796no—
1524C4×D4—796no—
1525C4×D4—796no—
1526C4×D4—793no—
1527C4×D4—793no—
1528C4×D4—793no—
1529C4×D4—793no—
1530C4×D4—796no—
1531C4×D4—796no—
1532C4×D4—796no—
1533C4×D4—796no—
1534C4×D4—791no—
1535C4×D4—793no—
1536C4×D4—793no—
1537C4×D4—793no—
1538C4×D4—793no—
1539C4×D4—793no—
1540C4×D4—793no—
1541C4×D4—793no—
1542C4×D4—793no—
1543C4×D4—793no—
1544C4×D4—793no—
1545C4×D4—793no—
1546C4×D4—796no—
1547C4×D4—796no—
1548C4×D4—796no—
1549C4×D4C22×D7913yes—
1550C4×D4C22×D7913yes—
1551C4×D4C22×D7913yes—
1552C4×D4C22×D7913yes—
1553C4×D4C22×D7916yes—
1554C4×D4C22×D7916yes—
1555C4×D4C22×D7913yes—
1556C4×D4C22×D7913yes—
1557C4×D4C22×D7916yes—
1558C4×D4C22×D7913yes—
1559C4×D4C22×D7916yes—
1560C4×D4C22×D7913yes—
1561#117—793no—
1562#117—793no—
1563#117—796no—
1564#117—796no—
1565#117—793no—
1566#117—793no—
1567#117—793no—
1568#117—793no—
1569#117—796no—
1570#117—796no—
1571#117—791no—
1572#117—793no—
1573#117—793no—
1574#117—796no—
1575#117—793no—
1576#117—793no—
1577#117—793no—
1578#117—793no—
1579#117—793no—
1580#117—796no—
1581#117—796no—
1582#117—796no—
1583#117—796no—
1584#117C22×D7913yes—
1585#117C22×D7911yescharacteristic
1586#117C22×D7913yes—
1587#117C22×D7913yes—
1588#117C22×D7913yes—
1589#117C22×D7913yes—
1590#117C22×D7913yes—
1591#117C22×D7913yes—
1592#117C22×D7913yes—
1593#117C22×D7913yes—
1594#117C22×D7913yes—
1595#117C22×D7913yes—
1596#117C22×D7916yes—
1597C2×C4⋊C4—793no—
1598C2×C4⋊C4—793no—
1599C2×C4⋊C4—793no—
1600C2×C4⋊C4—793no—
1601C2×C4⋊C4—793no—
1602C2×C4⋊C4—793no—
1603C2×C4⋊C4—793no—
1604C2×C4⋊C4—793no—
1605C2×C4⋊C4—793no—
1606C2×C4⋊C4—793no—
1607C2×C4⋊C4—793no—
1608C2×C4⋊C4—793no—
1609C2×C4⋊C4C22×D7913yes—
1610C2×C4⋊C4C22×D7913yes—
1611C2×C4⋊C4C22×D7913yes—
1612C2×C4⋊C4C22×D7913yes—
1613C2×C22⋊C4—793no—
1614C2×C22⋊C4—793no—
1615C2×C22⋊C4—793no—
1616C2×C22⋊C4—793no—
1617C2×C22⋊C4—793no—
1618C2×C22⋊C4—793no—
1619C2×C22⋊C4—793no—
1620C2×C22⋊C4—793no—
1621C2×C22⋊C4—796no—
1622C2×C22⋊C4—796no—
1623C2×C22⋊C4C22×D7913yes—
1624C2×C22⋊C4C22×D7913yes—
1625C2×C22⋊C4C22×D7916yes—
1626C2×C42—793no—
1627C2×C42—793no—
1628C2×C42—793no—
1629C2×C42—793no—
1630C2×C42—793no—
1631C2×C42—796no—
1632C2×C42—793no—
1633C2×C42—793no—
1634C2×C42—793no—
1635C2×C42—793no—
1636C2×C42—793no—
1637C2×C42—793no—
1638C2×C42—791no—
1639C2×C42C22×D7913yes—
1640C2×C42C22×D7913yes—
1641C2×C42C22×D7916yes—
1642C24—793no—
1643C24—793no—
1644C24C23×D7913yes—
1645#41—24no—
1646#41—212no—
1647#41—212no—
1648#41—31612no—
1649#41—31612no—
1650#41—1584no—
1651#41—1584no—
1652#41—15812no—
1653#41—15812no—
1654#41—15812no—
1655#41—15812no—
1656#41#1192962418yescomplemented
1657C2×Q8—24no—
1658C2×Q8—3166no—
1659C2×Q8—793no—
1660C2×Q8—793no—
1661C2×Q8—796no—
1662C2×Q8—791no—
1663C2×Q8—793no—
1664C2×Q8—793no—
1665C2×Q8—793no—
1666C2×Q8—1584no—
1667C2×Q8—1584no—
1668C2×Q8C23×D7913yes—
1669C2×Q8C23×D7911yescharacteristic
1670C2×D4—212no—
1671C2×D4—3166no—
1672C2×D4—3166no—
1673C2×D4—3166no—
1674C2×D4—793no—
1675C2×D4—793no—
1676C2×D4—793no—
1677C2×D4—796no—
1678C2×D4—796no—
1679C2×D4—793no—
1680C2×D4—793no—
1681C2×D4—796no—
1682C2×D4—796no—
1683C2×D4—791no—
1684C2×D4—791no—
1685C2×D4—793no—
1686C2×D4—793no—
1687C2×D4—796no—
1688C2×D4—793no—
1689C2×D4—793no—
1690C2×D4—791no—
1691C2×D4—793no—
1692C2×D4—793no—
1693C2×D4—15812no—
1694C2×D4—15812no—
1695C2×D4C23×D7916yes—
1696C2×D4C23×D7913yes—
1697C2×D4C23×D7913yes—
1698C22×C4—212no—
1699C22×C4—3166no—
1700C22×C4—3166no—
1701C22×C4—793no—
1702C22×C4—793no—
1703C22×C4—793no—
1704C22×C4—793no—
1705C22×C4—793no—
1706C22×C4—793no—
1707C22×C4—793no—
1708C22×C4—796no—
1709C22×C4—796no—
1710C22×C4—793no—
1711C22×C4—793no—
1712C22×C4—793no—
1713C22×C4—791no—
1714C22×C4—791no—
1715C22×C4—793no—
1716C22×C4—793no—
1717C22×C4—793no—
1718C22×C4—793no—
1719C22×C4—793no—
1720C22×C4—793no—
1721C22×C4—791no—
1722C22×C4—793no—
1723C22×C4—793no—
1724C22×C4—791no—
1725C22×C4—15812no—
1726C22×C4—15812no—
1727C22×C4C23×D7913yes—
1728C22×C4C23×D7913yes—
1729C22×C4C23×D7913yes—
1730C22×C4C23×D7913yes—
1731C22×C4C23×D7911yescharacteristic
1732C22×C4C23×D7913yes—
1733C22×C4C23×D7913yes—
1734C22×C4C23×D7913yes—
1735C22×C4C23×D7913yes—
1736C22×C4C23×D7916yes—
1737C22×C4C23×D7916yes—
1738C22×C4C23×D7913yes—
1739C4⋊C4—791no—
1740C4⋊C4—793no—
1741C4⋊C4—793no—
1742C4⋊C4—791no—
1743C4⋊C4—791no—
1744C4⋊C4—791no—
1745C4⋊C4—791no—
1746C4⋊C4—791no—
1747C4⋊C4—793no—
1748C4⋊C4—793no—
1749C4⋊C4—793no—
1750C4⋊C4—793no—
1751C4⋊C4—793no—
1752C4⋊C4—796no—
1753C4⋊C4—796no—
1754C4⋊C4—793no—
1755C4⋊C4—793no—
1756C4⋊C4—793no—
1757C4⋊C4—793no—
1758C4⋊C4—793no—
1759C4⋊C4—793no—
1760C4⋊C4—793no—
1761C4⋊C4—793no—
1762C4⋊C4—793no—
1763C4⋊C4—793no—
1764C4⋊C4—793no—
1765C4⋊C4—796no—
1766C4⋊C4—796no—
1767C4⋊C4—796no—
1768C4⋊C4—796no—
1769C4⋊C4—791no—
1770C4⋊C4—791no—
1771C4⋊C4—793no—
1772C4⋊C4—793no—
1773C4⋊C4—793no—
1774C4⋊C4—793no—
1775C4⋊C4—793no—
1776C4⋊C4—793no—
1777C4⋊C4—793no—
1778C4⋊C4—793no—
1779C4⋊C4—793no—
1780C4⋊C4—793no—
1781C4⋊C4—796no—
1782C4⋊C4—796no—
1783C4⋊C4C23×D7913yes—
1784C4⋊C4C23×D7913yes—
1785C4⋊C4C23×D7911yescharacteristic
1786C4⋊C4C23×D7913yes—
1787C4⋊C4C23×D7913yes—
1788C4⋊C4C23×D7911yescharacteristic
1789C4⋊C4C23×D7913yes—
1790C4⋊C4C23×D7913yes—
1791C4⋊C4C23×D7913yes—
1792C4⋊C4C23×D7913yes—
1793C4⋊C4C23×D7913yes—
1794C4⋊C4C23×D7913yes—
1795C22⋊C4—791no—
1796C22⋊C4—791no—
1797C22⋊C4—796no—
1798C22⋊C4—796no—
1799C22⋊C4—793no—
1800C22⋊C4—793no—
1801C22⋊C4—793no—
1802C22⋊C4—793no—
1803C22⋊C4—793no—
1804C22⋊C4—793no—
1805C22⋊C4—796no—
1806C22⋊C4—796no—
1807C22⋊C4—791no—
1808C22⋊C4—793no—
1809C22⋊C4—793no—
1810C22⋊C4—791no—
1811C22⋊C4—791no—
1812C22⋊C4—791no—
1813C22⋊C4—791no—
1814C22⋊C4—791no—
1815C22⋊C4—793no—
1816C22⋊C4—793no—
1817C22⋊C4—793no—
1818C22⋊C4—793no—
1819C22⋊C4—793no—
1820C22⋊C4—796no—
1821C22⋊C4—796no—
1822C22⋊C4—793no—
1823C22⋊C4—793no—
1824C22⋊C4—793no—
1825C22⋊C4—793no—
1826C22⋊C4—793no—
1827C22⋊C4—793no—
1828C22⋊C4—793no—
1829C22⋊C4—793no—
1830C22⋊C4—793no—
1831C22⋊C4—793no—
1832C22⋊C4—793no—
1833C22⋊C4—796no—
1834C22⋊C4—796no—
1835C22⋊C4—796no—
1836C22⋊C4—796no—
1837C22⋊C4C23×D7916yes—
1838C22⋊C4C23×D7911yescharacteristic
1839C22⋊C4C23×D7913yes—
1840C22⋊C4C23×D7913yes—
1841C22⋊C4C23×D7911yescharacteristic
1842C22⋊C4C23×D7916yes—
1843C22⋊C4C23×D7913yes—
1844C22⋊C4C23×D7913yes—
1845C22⋊C4C23×D7913yes—
1846C22⋊C4C23×D7913yes—
1847C42—791no—
1848C42—791no—
1849C42—793no—
1850C42—793no—
1851C42—793no—
1852C42—793no—
1853C42—793no—
1854C42—793no—
1855C42—793no—
1856C42—793no—
1857C42—796no—
1858C42—796no—
1859C42—793no—
1860C42—793no—
1861C42—791no—
1862C42—791no—
1863C42—793no—
1864C42—793no—
1865C42C23×D7913yes—
1866C42C23×D7913yes—
1867C42C23×D7916yes—
1868C42C23×D7916yes—
1869C42C23×D7913yes—
1870C42C23×D7913yes—
1871C42C23×D7913yes—
1872C42C23×D7911yescharacteristic
1873C42C23×D7911yescharacteristic
1874C42C23×D7913yes—
1875C23—26no—
1876C23—43no—
1877C23—43no—
1878C23—3163no—
1879C23—3163no—
1880C23—3163no—
1881C23—791no—
1882C23—791no—
1883C23—793no—
1884C23—793no—
1885C23—1586no—
1886C23—1586no—
1887C23—1586no—
1888C23C24×D7911yescharacteristic
1889C23C24×D7913yes—
1890C23C24×D7913yes—
1891Q8—26no—
1892Q8—3163no—
1893Q8—3163no—
1894Q8—3166no—
1895Q8—1582no—
1896Q8—1586no—
1897Q8—1586no—
1898Q8—1586no—
1899Q8C2×#1192962414yes—
1900D4—212no—
1901D4—26no—
1902D4—3163no—
1903D4—3163no—
1904D4—3166no—
1905D4—3163no—
1906D4—3163no—
1907D4—3163no—
1908D4—3163no—
1909D4—3166no—
1910D4—3166no—
1911D4—1582no—
1912D4—1586no—
1913D4—1582no—
1914D4—1586no—
1915D4—1582no—
1916D4—1586no—
1917D4—15812no—
1918D4—15812no—
1919D4—1586no—
1920D4—1586no—
1921D4C2×#11929624112yes—
1922C2×C4—26no—
1923C2×C4—22no—
1924C2×C4—26no—
1925C2×C4—26no—
1926C2×C4—26no—
1927C2×C4—43no—
1928C2×C4—43no—
1929C2×C4—43no—
1930C2×C4—43no—
1931C2×C4—46no—
1932C2×C4—46no—
1933C2×C4—3163no—
1934C2×C4—3163no—
1935C2×C4—3163no—
1936C2×C4—3163no—
1937C2×C4—3166no—
1938C2×C4—3166no—
1939C2×C4—3163no—
1940C2×C4—3163no—
1941C2×C4—3163no—
1942C2×C4—791no—
1943C2×C4—791no—
1944C2×C4—791no—
1945C2×C4—791no—
1946C2×C4—793no—
1947C2×C4—793no—
1948C2×C4—793no—
1949C2×C4—793no—
1950C2×C4—793no—
1951C2×C4—793no—
1952C2×C4—791no—
1953C2×C4—791no—
1954C2×C4—1582no—
1955C2×C4—1586no—
1956C2×C4—1582no—
1957C2×C4—1586no—
1958C2×C4—1586no—
1959C2×C4—1586no—
1960C2×C4—1586no—
1961C2×C4—1582no—
1962C2×C4—1582no—
1963C2×C4—1586no—
1964C2×C4—1586no—
1965C2×C4—1586no—
1966C2×C4—1586no—
1967C2×C4—1586no—
1968C2×C4—1586no—
1969C2×C4C2×#11929624112yes—
1970C2×C4C24×D7911yescharacteristic
1971C2×C4C24×D7911yescharacteristic
1972C2×C4C24×D7913yes—
1973C2×C4C24×D7913yes—
1974C2×C4C24×D7911yescharacteristic
1975C2×C4C24×D7913yes—
1976C2×C4C24×D7913yes—
1977C2×C4C24×D7913yes—
1978C2×C4C24×D7911yescharacteristic
1979C2×C4C24×D7911yescharacteristic
1980C2×C4C24×D7913yes—
1981C2×C4C24×D7911yescharacteristic
1982C22—23no—
1983C22—23no—
1984C22—21no—
1985C22—23no—
1986C22—23no—
1987C22—23no—
1988C22—21no—
1989C22—21no—
1990C22—86no—
1991C22—31612no—
1992C22—792no—
1993C22—6326no—
1994C22—1581no—
1995C22—1583no—
1996C22—1583no—
1997C22—1583no—
1998C22—1583no—
1999C22—1583no—
2000C22—1583no—
2001C22—1581no—
2002C22—1581no—
2003C22—1581no—
2004C22—1581no—
2005C22C22×#1192962416yes—
2006C22C25×D7911yescharacteristic
2007C4—21no—
2008C4—23no—
2009C4—21no—
2010C4—23no—
2011C4—21no—
2012C4—23no—
2013C4—21no—
2014C4—23no—
2015C4—23no—
2016C4—21no—
2017C4—792no—
2018C4—1581no—
2019C4—1581no—
2020C4—1583no—
2021C4—1583no—
2022C4—1581no—
2023C4—1581no—
2024C4—1583no—
2025C4—1583no—
2026C4—1581no—
2027C4—1583no—
2028C4—1583no—
2029C4C22×#1192962412yes—
2030C4C22×#1192962416yes—
2031C2—26no—
2032C2—41no—
2033C2—43no—
2034C2—3163no—
2035C2—3161no—
2036C2—3163no—
2037C2—1582no—
2038C2C23×#1192962411yescharacteristic
2039C2#585×D7911yescharacteristic
2040C2#585×D7911yescharacteristic
subgroupG/H
centerC2×C4C24×D79
commutator, socle, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC79×#3428C2
hypercenter#3428D79
hypocenterC79#62816
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ #3428

Complements

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

NH ≅ G/Ntype
1. #23777511C2semidirect
2. #23777501C2semidirect
3. #23777490C2semidirect
4. #23777479C2semidirect
5. #23777470C2semidirect
6. #23777456C2semidirect
7. #23777439C2semidirect
8. #23777422C2semidirect
9. #23777411C2semidirect
10. #23777400C2semidirect
11. #23777395C2semidirect
12. #23777385C2semidirect
13. #23777368C2semidirect
14. #23777351C2semidirect
15. #23777342C2semidirect
16. #23777328C2semidirect
17. #23776993C2semidirect
18. #41×Dic158C2semidirect
19. #23776964C2semidirect
20. #23776954C2semidirect
21. #23776954C2semidirect
22. #41×D316C2semidirect
23. #41×C22⋊D79C2semidirect
24. #41×C22⋊D79C2semidirect
25. #23776790C2semidirect
26. #23776785C2semidirect
27. #23776693C2semidirect
28. C2×#19099091C2semidirect
29. #23776599C2semidirect
30. C4×#41×D79C2semidirect
31. C79×#3428C2semidirect
34. #19099298C22semidirect
35. #19099296C22semidirect
36. #19099296C22semidirect
37. Q8×Dic158C22semidirect
38. #19099292C22semidirect
39. #19099291C22semidirect
40. #19099289C22semidirect
41. #19099289C22semidirect
42. #19099286C22semidirect
43. #19099285C22semidirect
44. #19099285C22semidirect
45. #19099283C22semidirect
46. #19099281C22semidirect
47. #19099281C22semidirect
48. #19099278C22semidirect
49. #19099276C22semidirect
50. #19099276C22semidirect
51. #19099273C22semidirect
52. #19099272C22semidirect
53. #19099272C22semidirect
54. #19099270C22semidirect
55. #19099268C22semidirect
56. #19099268C22semidirect
57. #19099263C22semidirect
58. #19099263C22semidirect
59. #19099262C22semidirect
60. #19099262C22semidirect
61. #19099261C22semidirect
62. #19099261C22semidirect
63. #19099259C22semidirect
64. #19099257C22semidirect
65. #19099257C22semidirect
66. #19099254C22semidirect
67. #19099254C22semidirect
68. #19099253C22semidirect
69. #19099252C22semidirect
70. #19099252C22semidirect
71. #19099248C22semidirect
72. #19099248C22semidirect
73. #19099246C22semidirect
74. #19099246C22semidirect
75. #19099242C22semidirect
76. #19099242C22semidirect
77. #19099239C22semidirect
78. #19099239C22semidirect
79. #19099237C22semidirect
80. #19099237C22semidirect
81. #19099235C22semidirect
82. #19099234C22semidirect
83. #19099232C22semidirect
84. #19099232C22semidirect
85. Q8×D316C22semidirect
86. D4×Dic158C22semidirect
87. Q8×C22⋊D79C22semidirect
88. Q8×C22⋊D79C22semidirect
89. #19099225C22semidirect
90. #19099225C22semidirect
91. #19099224C22semidirect
92. #19099224C22semidirect
93. #19099222C22semidirect
94. #19099220C22semidirect
95. #19099220C22semidirect
96. #19099218C22semidirect
97. #19099217C22semidirect
98. #19099214C22semidirect
99. #19099214C22semidirect
100. #19099212C22semidirect
101. #19099212C22semidirect
102. #19099209C22semidirect
103. #19099208C22semidirect
104. #19099208C22semidirect
105. #19099207C22semidirect
106. #19099207C22semidirect
107. #19099203C22semidirect
108. #19099203C22semidirect
109. #19099201C22semidirect
110. #19099201C22semidirect
111. D4×D316C22semidirect
112. D4×C22⋊D79C22semidirect
113. D4×C22⋊D79C22semidirect
114. #19099185C22semidirect
115. #19099185C22semidirect
116. #19099184C22semidirect
117. #19099184C22semidirect
118. #19099184C22semidirect
119. #19099184C22semidirect
120. #19099178C22semidirect
121. #19099178C22semidirect
122. #19099175C22semidirect
123. #19099175C22semidirect
124. #19099171C22semidirect
125. #19099171C22semidirect
126. #19099168C22semidirect
127. #19099168C22semidirect
128. #19099164C22semidirect
129. #19099164C22semidirect
130. #19099160C22semidirect
131. #19099160C22semidirect
132. #19099155C22semidirect
133. #19099155C22semidirect
134. #19099151C22semidirect
135. #19099151C22semidirect
136. #19099146C22semidirect
137. #19099146C22semidirect
138. #19099120C22semidirect
139. #19099117C22semidirect
140. #19099117C22semidirect
141. #19099116C22semidirect
142. #19099116C22semidirect
143. #19099113C22semidirect
144. #19099110C22semidirect
145. #19099110C22semidirect
146. #19099109C22semidirect
147. #19099109C22semidirect
148. #19099100C22semidirect
149. #19099100C22semidirect
150. #19099097C22semidirect
151. #19099097C22semidirect
152. #19099095C22semidirect
153. #19099095C22semidirect
154. #19099093C22semidirect
155. #19099093C22semidirect
158. #19099091C22semidirect
159. #19099091C22semidirect
160. #19099091C22semidirect
161. #19099091C22semidirect
162. #19099091C22semidirect
163. #19099091C22semidirect
164. #19099091C22semidirect
165. #19099091C22semidirect
166. #19099091C22semidirect
167. #19099091C22semidirect
168. #19099091C22semidirect
169. #19099091C22semidirect
170. #19099091C22semidirect
171. #19099091C22semidirect
172. #19099091C22semidirect
173. #19099091C22semidirect
174. #19099091C22semidirect
175. C2×#14579156C22semidirect
176. C2×#14579154C22semidirect
177. C2×#14579151C22semidirect
178. C2×#14579147C22semidirect
179. #19099075C22semidirect
180. #19099075C22semidirect
181. #19099074C22semidirect
182. #19099074C22semidirect
183. #19099072C22semidirect
184. #19099072C22semidirect
185. #19099070C22semidirect
186. #19099070C22semidirect
187. C2×#14579146C22semidirect
188. C2×#14579143C22semidirect
189. C2×#14579139C22semidirect
191. #19099045C22semidirect
192. #19099045C22semidirect
193. #19099042C22semidirect
194. #19099042C22semidirect
195. #19099039C22semidirect
196. #19099039C22semidirect
197. #19099035C22semidirect
198. #19099035C22semidirect
201. C4×#11929625C22semidirect
202. C4×#11929625C22semidirect
203. C4×#11929624C22semidirect
204. C4×#11929624C22semidirect
205. C4×#11929624C22semidirect
206. C4×#11929624C22semidirect
207. #19099031C22semidirect
208. #19099031C22semidirect
209. C4×#11929623C22semidirect
210. C4×#11929623C22semidirect
211. C2×C4×Dic158C22semidirect
212. C4×Q8×D79C22semidirect
213. C4×Q8×D79C22semidirect
214. C2×C4×D316C22semidirect
215. C2×C4×C22⋊D79C22semidirect
216. C2×C4×C22⋊D79C22semidirect
217. C4×D4×D79C22semidirect
218. C4×D4×D79C22semidirect
219. C2×#14579118C22semidirect
220. #117×D79C22semidirect
221. #117×D79C22semidirect
222. C2×C42×D79C22semidirect
224. #520×C79C22semidirect
225. #520×C79C22semidirect
226. #520×C79C22semidirect
227. #520×C79C22semidirect
228. #519×C79C22semidirect
229. #519×C79C22semidirect
230. #518×C79C22semidirect
231. #518×C79C22semidirect
234. C4×#41×C79C22semidirect
235. C4×#41×C79C22semidirect
236. C2×#117×C79C22semidirect
237. C2×#117×C79C22semidirect
801. #41×C79#41semidirect
1050. #3428D79semidirect
1052. C79#62816semidirect
1217. #520C2×D79semidirect
1218. #520C2×D79semidirect
1219. #520C2×D79semidirect
1220. #520C2×D79semidirect
1223. #519C2×D79semidirect
1224. #519C2×D79semidirect
1227. #518C2×D79semidirect
1228. #518C2×D79semidirect
1243. C4×#41C2×D79semidirect
1244. C4×#41C2×D79semidirect
1256. C2×#117C2×D79semidirect
1257. C2×#117C2×D79semidirect
1656. #41#11929624semidirect

Maximal subgroups

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

subgroupindex
#237775112
#237775012
#237774902
#237774792
#237774702
#237774562
#237774392
#237774222
#237774112
#237774002
#237773952
#237773852
#237773682
#237773512
#237773422
#237773282
#237769932
#41×Dic1582
#237769642
#237769542
#41×D3162
#41×C22⋊D792
#237767902
#237767852
#237766932
C2×#190990912
#237765992
C4×#41×D792
C79×#34282
#6281679