Finite Group Databasebeta

← #35196993

Subgroups — #35196993

Order 20224.

6530 conjugacy classes of subgroups.

The subgroup lattice has 1768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778009C212yesmaximal, complemented
2#23778000C212yesmaximal, complemented
3#23777998C214yesmaximal, complemented
4#23777937C212yesmaximal, complemented
5#23777928C212yesmaximal, complemented
6#23777926C214yesmaximal, complemented
7#23777856C211yesmaximal, characteristic, complemented
8#23777853C212yesmaximal, complemented
9#23777850C214yesmaximal, complemented
10#23777376C214yesmaximal, complemented
11#23777374C214yesmaximal, complemented
12#23777370C214yesmaximal, complemented
13#23777367C214yesmaximal, complemented
14#23777316C214yesmaximal, complemented
15#23777220C214yesmaximal, complemented
16#23777108C214yesmaximal, complemented
17#23777105C214yesmaximal, complemented
18#23777104C214yesmaximal, complemented
19#23776694C212yesmaximal, complemented
20C2×#125×D79C211yesmaximal, characteristic, complemented
21C79×#3553C211yesmaximal, characteristic, complemented
22C79⋊#564C2214yescomplemented
23C79⋊#564C2212yescomplemented
24C79⋊#564C2211yescharacteristic, complemented
25#19099317C2212yescomplemented
26#19099317C2212yescomplemented
27#19099315C2214yescomplemented
28#19099314C2214yescomplemented
29#19099313C2212yescomplemented
30#19099311C2211yescharacteristic, complemented
31#19099310C2214yescomplemented
32#19099307C2212yescomplemented
33#19099291C2214yescomplemented
34#19099290C2214yescomplemented
35#19099290C2214yescomplemented
36#19099288C2214yescomplemented
37#19099272C2214yes—
38#19099272C2214yes—
39#19099271C2214yes—
40#19099271C2214yescomplemented
41#19099270C2214yes—
42#19099269C2214yes—
43#19099269C2214yes—
44#19099268C2214yes—
45#19099268C2214yescomplemented
46#19099267C2214yes—
47#19099267C2214yes—
48#19099267C2214yes—
49#19099267C2214yes—
50#19099267C2214yescomplemented
51#19099267C2214yescomplemented
52#19099265C2214yes—
53#19099264C2214yes—
54#19099264C2214yes—
55#19099264C2214yescomplemented
56#19099262C2214yes—
57#19099262C2214yes—
58#19099262C2214yescomplemented
59#19099261C2214yes—
60#19099259C2214yes—
61#19099258C2214yes—
62#19099258C2214yes—
63#19099258C2214yescomplemented
64#19099256C2214yes—
65#19099256C2214yes—
66#19099256C2214yescomplemented
67#19099255C2214yescomplemented
68#19099254C2214yes—
69#19099252C2214yes—
70#19099252C2214yescomplemented
71#19099251C2214yes—
72#19099251C2214yescomplemented
73#19099250C2214yescomplemented
74#19099250C2214yescomplemented
75#19099249C2214yes—
76#19099249C2214yes—
77#19099249C2214yes—
78#19099249C2214yes—
79#19099249C2214yescomplemented
80#19099249C2214yescomplemented
81#19099247C2214yes—
82#19099246C2214yescomplemented
83#19099246C2214yescomplemented
84#19099245C2214yes—
85#19099245C2214yes—
86#19099245C2214yes—
87#19099245C2214yes—
88#19099245C2214yescomplemented
89#19099245C2214yescomplemented
90#19099218C2214yes—
91#19099216C2214yes—
92#19099215C2214yes—
93#19099215C2214yes—
94#19099215C2214yes—
95#19099215C2214yes—
96#19099214C2214yes—
97#19099213C2214yes—
98#19099211C2214yes—
99#19099211C2214yes—
100#19099211C2214yes—
101#19099211C2214yes—
102#19099193C2214yes—
103#19099193C2214yescomplemented
104#19099192C2214yes—
105#19099192C2214yescomplemented
106#19099192C2214yescomplemented
107#19099190C2214yes—
108#19099190C2214yescomplemented
109#19099176C2214yescomplemented
110#19099173C2214yescomplemented
111#19099172C2214yescomplemented
112#19099172C2214yescomplemented
113#19099172C2214yescomplemented
114#19099171C2214yescomplemented
115#19099170C2214yescomplemented
116#19099170C2214yescomplemented
117#19099170C2214yescomplemented
118#19099165C2214yescomplemented
119#19099163C2214yescomplemented
120#19099162C2214yescomplemented
121#19099161C2214yes—
122#19099161C2214yes—
123#19099161C2214yescomplemented
124#19099160C2214yes—
125#19099159C2214yes—
126#19099159C2214yes—
127#19099157C2214yes—
128#19099157C2214yes—
129#19099157C2214yescomplemented
130#19099156C2214yes—
131#19099156C2214yes—
132#19099156C2214yescomplemented
133#19099155C2214yescomplemented
134#19099154C2214yes—
135#19099154C2214yes—
136#19099154C2214yescomplemented
137#19099154C2214yescomplemented
138#19099143C2214yes—
139#19099142C2214yes—
140#19099140C2214yes—
141#19099119C2212yes—
142#19099117C2212yes—
143#19099117C2214yescomplemented
144#19099115C2212yes—
145#19099115C2214yescomplemented
146#19099112C2212yes—
147#19099110C2212yes—
148#19099108C2212yes—
149#19099098C2212yes—
150#19099097C2212yes—
151#19099096C2214yes—
152#19099096C2214yes—
153#19099096C2214yescomplemented
154#19099093C2214yescomplemented
155#19099092C2212yes—
156#19099091C2214yes—
157#19099091C2214yescomplemented
158#19099090C2214yes—
159#19099090C2214yescomplemented
160C2×#14579153C2211yescharacteristic
161C2×#14579152C2212yes—
162C2×#14579151C2214yes—
163C2×#14579151C2214yescomplemented
164#125×D79C2212yes—
165#125×D79C2214yes—
166#125×D79C2212yes—
167#125×D79C2214yes—
168#125×D79C2212yes—
169#125×D79C2212yes—
170#125×D79C2214yescomplemented
171#19099076C2214yes—
172#19099076C2212yes—
173#19099073C2214yes—
174#19099073C2212yes—
175#19099072C2214yes—
176#19099072C2214yes—
177#19099072C2214yes—
178#19099071C2214yes—
179#19099045C2214yes—
180#19099044C2214yes—
181#19099043C2214yes—
182#19099042C2214yes—
183#19099042C2214yes—
184#19099042C2214yes—
185C4×#11929625C2212yes—
186#19099031C2214yes—
187C4×#11929623C2214yes—
188C4×#11929623C2212yes—
189C2×C4⋊C4×D79C2214yes—
190C2×C4⋊C4×D79C2212yes—
191C2×C42×D79C2211yescharacteristic
192#564×C79C2211yescharacteristic, complemented
193#563×C79C2212yescomplemented
194#562×C79C2211yescharacteristic, complemented
195#554×C79C2214yes—
196#553×C79C2214yes—
197#552×C79C2214yescomplemented
198#541×C79C2214yescomplemented
199#539×C79C2214yes—
200#539×C79C2214yescomplemented
201#529×C79C2212yes—
202C2×#125×C79C2211yescharacteristic
203C2×#11929625C2314yes—
204C2×#11929625C2312yes—
205C2×#11929624C2314yes—
206C2×#11929624C2314yes—
207C2×#11929624C2314yes—
208C2×#11929623C2314yes—
209C2×#11929623C2314yes—
210C2×#11929623C2312yes—
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2312yes—
213C22×C4×D79C2314yes—
214#14579161C2314yes—
215#14579160C2312yes—
216#14579160C2314yes—
217#14579160C2314yes—
218#14579160C2314yes—
219#14579160C2314yes—
220#14579160C2314yes—
221#14579160C2314yes—
222#14579160C2312yes—
223#14579159C2314yes—
224#14579159C2314yes—
225#14579159C2312yes—
226#14579159C2314yes—
227#14579159C2314yes—
228#14579157C2312yes—
229#14579156C2314yes—
230#14579156C2314yes—
231#14579156C2314yes—
232#14579156C2314yes—
233#14579156C2314yes—
234#14579156C2314yes—
235#14579156C2314yes—
236#14579156C2314yes—
237#14579156C2314yes—
238#14579156C2314yes—
239#14579156C2314yes—
240#14579155C2314yes—
241#14579155C2314yes—
242#14579155C2314yes—
243#14579154C2314yes—
244#14579154C2314yes—
245#14579154C2314yes—
246#14579154C2314yes—
247#14579154C2314yes—
248#14579154C2314yes—
249#14579154C2314yes—
250#14579154C2314yes—
251#14579154C2314yes—
252#14579153C2314yes—
253#14579153C2314yes—
254#14579153C2314yes—
255#14579153C2314yes—
256#14579153C2311yescharacteristic
257#14579153C2311yescharacteristic
258#14579153C2312yes—
259#14579153C2312yes—
260#14579152C2314yes—
261#14579152C2314yes—
262#14579152C2312yes—
263#14579152C2314yes—
264#14579152C2314yes—
265#14579152C2312yes—
266#14579152C2314yes—
267#14579152C2314yes—
268#14579152C2312yes—
269#14579152C2312yes—
270#14579152C2314yes—
271#14579152C2314yes—
272#14579152C2314yes—
273#14579152C2314yes—
274#14579151C2314yes—
275#14579151C2314yes—
276#14579151C2314yes—
277#14579151C2314yes—
278#14579151C2314yes—
279#14579151C2314yes—
280#14579151C2314yes—
281#14579151C2314yes—
282#14579151C2314yes—
283#14579151C2314yes—
284#14579151C2314yes—
285#14579151C2314yes—
286#14579151C2314yes—
287#14579151C2314yes—
288#14579151C2314yes—
289#14579151C2314yes—
290#14579151C2314yes—
291#14579151C2314yes—
292#14579151C2314yes—
293#14579151C2314yes—
294#14579151C2314yes—
295#14579151C2314yes—
296#14579151C2314yes—
297#14579151C2314yes—
298#14579151C2314yes—
299#14579151C2314yes—
300#14579151C2314yes—
301#14579151C2314yes—
302#14579151C2314yes—
303#14579151C2314yes—
304#14579149C2312yes—
305#14579147C2314yes—
306#14579147C2314yes—
307#14579146C2314yes—
308#14579146C2314yes—
309#14579146C2314yes—
310#14579146C2314yes—
311#14579146C2314yes—
312#14579146C2314yes—
313#14579146C2314yes—
314#14579146C2314yes—
315#14579146C2314yes—
316#14579146C2314yes—
317#14579146C2314yes—
318#14579146C2314yes—
319#14579145C2314yes—
320#14579145C2314yes—
321#14579145C2314yes—
322#14579145C2314yes—
323#14579144C2314yes—
324#14579144C2314yes—
325#14579144C2314yes—
326#14579143C2314yes—
327#14579143C2314yes—
328#14579143C2314yes—
329#14579143C2314yes—
330#14579143C2314yes—
331#14579143C2314yes—
332#14579143C2314yes—
333#14579143C2314yes—
334#14579143C2314yes—
335#14579143C2314yes—
336#14579143C2314yes—
337#14579143C2314yes—
338#14579142C2314yes—
339#14579142C2314yes—
340#14579141C2314yes—
341#14579141C2312yes—
342#14579141C2314yes—
343#14579141C2314yes—
344#14579141C2314yes—
345#14579141C2314yes—
346#14579141C2314yes—
347#14579140C2314yes—
348#14579140C2314yes—
349#14579140C2314yes—
350#14579140C2314yes—
351#14579140C2312yes—
352#14579139C2314yes—
353#14579139C2314yes—
354#14579139C2314yes—
355#14579139C2314yes—
356#14579139C2314yes—
357#14579139C2314yes—
358#14579139C2314yes—
359#14579139C2314yes—
360#14579139C2314yes—
361#14579139C2314yes—
362#14579139C2314yes—
363#14579139C2314yes—
364#14579139C2314yes—
365#14579139C2314yes—
366#14579139C2314yes—
367#14579138C2314yes—
368#14579138C2314yes—
369#14579138C2314yes—
370#14579138C2314yes—
371#14579138C2314yes—
372#14579138C2314yes—
373#14579138C2314yes—
374#14579138C2314yes—
375#14579138C2314yes—
376#14579138C2314yes—
377#14579138C2314yes—
378#14579138C2314yes—
379#14579138C2314yes—
380#14579137C2314yes—
381#14579137C2312yes—
382#14579137C2314yes—
383#14579137C2314yes—
384#14579137C2314yes—
385#14579136C2312yes—
386#14579136C2314yes—
387#14579136C2314yes—
388#14579135C2314yes—
389#14579135C2314yes—
390#14579135C2312yes—
391#14579134C2314yes—
392#14579134C2314yes—
393#14579134C2314yes—
394#14579134C2314yes—
395#14579134C2314yes—
396#14579134C2314yes—
397#14579134C2314yes—
398#14579134C2314yes—
399#14579134C2314yes—
400#14579133C2314yes—
401#14579133C2314yes—
402#14579133C2314yes—
403#14579133C2314yes—
404#14579133C2314yes—
405#14579133C2314yes—
406#14579133C2314yes—
407#14579132C2312yes—
408#14579132C2314yes—
409#14579132C2314yes—
410#14579131C2314yes—
411#14579129C2314yes—
412Q8×Dic79C2314yes—
413Q8×Dic79C2312yes—
414C4×Dic158C2312yes—
415C4×Dic158C2314yes—
416C4×Dic158C2314yes—
417C4×Dic158C2314yes—
418C4×Dic158C2314yes—
419C4×Dic158C2314yes—
420C4×Dic158C2314yes—
421#14579126C2314yes—
422#14579126C2314yes—
423#14579126C2314yes—
424#14579126C2314yes—
425#14579126C2314yes—
426#14579126C2314yes—
427#14579126C2314yes—
428#14579126C2312yes—
429#14579126C2314yes—
430C4×D316C2314yes—
431C4×D316C2314yes—
432C4×D316C2312yes—
433C4×D316C2314yes—
434C4×D316C2314yes—
435D4×Dic79C2314yes—
436D4×Dic79C2314yes—
437D4×Dic79C2314yes—
438D4×Dic79C2312yes—
439D4×Dic79C2314yes—
440#14579123C2314yes—
441#14579123C2314yes—
442#14579123C2314yes—
443#14579123C2314yes—
444#14579123C2314yes—
445#14579123C2314yes—
446#14579123C2312yes—
447C4×C22⋊D79C2314yes—
448C4×C22⋊D79C2314yes—
449C4×C22⋊D79C2314yes—
450C4×C22⋊D79C2314yes—
451C4×C22⋊D79C2314yes—
452C4×C22⋊D79C2314yes—
453C4×C22⋊D79C2314yes—
454C4×C22⋊D79C2314yes—
455C4×C22⋊D79C2314yes—
456C4×C22⋊D79C2314yes—
457C4×C22⋊D79C2314yes—
458(C22⋊D79)⋊C4C2314yes—
459(C22⋊D79)⋊C4C2314yes—
460(C22⋊D79)⋊C4C2314yes—
461(C22⋊D79)⋊C4C2314yes—
462(C22⋊D79)⋊C4C2314yes—
463(C22⋊D79)⋊C4C2314yes—
464(C22⋊D79)⋊C4C2314yes—
465(C22⋊D79)⋊C4C2314yes—
466(C22⋊D79)⋊C4C2314yes—
467(C22⋊D79)⋊C4C2314yes—
468(C22⋊D79)⋊C4C2314yes—
469(C22⋊D79)⋊C4C2314yes—
470(C22⋊D79)⋊C4C2314yes—
471(C22⋊D79)⋊C4C2314yes—
472(C22⋊D79)⋊C4C2314yes—
473#14579120C2314yes—
474#14579119C2314yes—
475#14579119C2314yes—
476#14579119C2314yes—
477#14579119C2314yes—
478#14579119C2314yes—
479#14579119C2312yes—
480#14579119C2312yes—
481#14579119C2314yes—
482#14579118C2314yes—
483#14579118C2314yes—
484#14579118C2314yes—
485#14579118C2314yes—
486#14579118C2314yes—
487#14579118C2314yes—
488#14579118C2314yes—
489#14579118C2314yes—
490#14579117C2314yes—
491#14579117C2314yes—
492#14579117C2314yes—
493#14579117C2314yes—
494#14579117C2314yes—
495#14579117C2314yes—
496#14579117C2314yes—
497C2×C4⋊Dic79C2312yes—
498C2×C4⋊Dic79C2314yes—
499C2×C4⋊Dic79C2314yes—
500C2×Dic79⋊C4C2314yes—
501C2×Dic79⋊C4C2314yes—
502C2×Dic79⋊C4C2314yes—
503C2×Dic79⋊C4C2314yes—
504C2×Dic79⋊C4C2314yes—
505C2×Dic79⋊C4C2314yes—
506C2×Dic79⋊C4C2314yes—
507C4⋊C4×D79C2314yes—
508C4⋊C4×D79C2314yes—
509C4⋊C4×D79C2314yes—
510C4⋊C4×D79C2314yes—
511C4⋊C4×D79C2314yes—
512C4⋊C4×D79C2314yes—
513C4⋊C4×D79C2314yes—
514C4⋊C4×D79C2314yes—
515C4⋊C4×D79C2314yes—
516C4⋊C4×D79C2314yes—
517C4⋊C4×D79C2312yes—
518C4⋊C4×D79C2314yes—
519C4⋊C4×D79C2314yes—
520C4⋊C4×D79C2314yes—
521C4⋊C4×D79C2314yes—
522C4⋊C4×D79C2312yes—
523C4⋊C4×D79C2314yes—
524C4⋊C4×D79C2312yes—
525C4⋊C4×D79C2314yes—
526C4⋊C4×D79C2312yes—
527C2×C4×Dic79C2312yes—
528C2×C4×Dic79C2311yescharacteristic
529C2×C4×Dic79C2314yes—
530C42×D79C2312yes—
531C42×D79C2312yes—
532C42×D79C2312yes—
533C42×D79C2312yes—
534C42×D79C2314yes—
535C4⋊Q8×C79C2314yes—
536#126×C79C2314yes—
537#126×C79C2314yes—
538#126×C79C2314yes—
539#126×C79C2314yes—
540#126×C79C2314yes—
541#125×C79C2314yes—
542#125×C79C2314yes—
543#125×C79C2314yes—
544#125×C79C2314yes—
545#125×C79C2314yes—
546#125×C79C2314yes—
547#125×C79C2312yes—
548#125×C79C2311yescharacteristic
549#125×C79C2311yescharacteristic
550#125×C79C2312yes—
551#124×C79C2312yes—
552#123×C79C2314yes—
553#123×C79C2314yes—
554#123×C79C2314yes—
555#123×C79C2314yes—
556#123×C79C2314yes—
557C22⋊Q8×C79C2314yes—
558C22⋊Q8×C79C2314yes—
559C22⋊Q8×C79C2314yes—
560C22⋊Q8×C79C2314yes—
561C22⋊Q8×C79C2314yes—
562C22⋊Q8×C79C2314yes—
563C22⋊Q8×C79C2312yes—
564#121×C79C2314yes—
565#121×C79C2314yes—
566#121×C79C2312yes—
567C4×Q8×C79C2312yes—
568C4×Q8×C79C2314yes—
569C4×D4×C79C2312yes—
570C4×D4×C79C2314yes—
571C4×D4×C79C2314yes—
572C4×D4×C79C2314yes—
573C4×D4×C79C2314yes—
574#117×C79C2314yes—
575#117×C79C2314yes—
576C2×C4⋊C4×C79C2312yes—
577C2×C4⋊C4×C79C2314yes—
578C2×C4⋊C4×C79C2314yes—
579C2×C42×C79C2311yescharacteristic
580C23×D79C2411yescharacteristic
581#11929625—44no—
582#11929625—48no—
583#11929624—48no—
584#11929624—48no—
585#11929624—48no—
586#11929623—216no—
587#11929623—44no—
588#11929623—48no—
589C2×Dic158C2414yes—
590C2×Dic158C2412yes—
591C2×Dic158C2414yes—
592C2×Dic158C2414yes—
593C2×Dic158C2414yes—
594C2×Dic158C2414yes—
595C2×D316C2414yes—
596C2×D316C2414yes—
597C2×D316C2414yes—
598C2×D316C2412yes—
599C2×C22⋊D79C2414yes—
600C2×C22⋊D79C2414yes—
601C2×C22⋊D79C2414yes—
602C2×C22⋊D79C2414yes—
603C2×C22⋊D79C2414yes—
604C2×C22⋊D79C2414yes—
605C2×C22⋊D79C2414yes—
606C22×Dic79C2414yes—
607C22×Dic79C2414yes—
608C22×Dic79C2414yes—
609C22×Dic79C2414yes—
610C22×Dic79C2412yes—
611C22×Dic79C2414yes—
612C22×Dic79C2411yescharacteristic
613C2×C4×D79—24no—
614C2×C4×D79—48no—
615C2×C4×D79—44no—
616C2×C4×D79C2414yes—
617C2×C4×D79C2412yes—
618C2×C4×D79C2414yes—
619C2×C4×D79C2412yes—
620C2×C4×D79C2414yes—
621C2×C4×D79C2412yes—
622C2×C4×D79C2412yes—
623C2×C4×D79C2414yes—
624C2×C4×D79C2414yes—
625C2×C4×D79C2414yes—
626C2×C4×D79C2414yes—
627C2×C4×D79C2414yes—
628C2×C4×D79C2414yes—
629C2×C4×D79C2412yes—
630C2×C4×D79C2412yes—
631C2×C4×D79C2414yes—
632C2×C4×D79C2414yes—
633C4⋊Dic79C2414yes—
634C4⋊Dic79C2414yes—
635C4⋊Dic79C2414yes—
636C4⋊Dic79C2414yes—
637C4⋊Dic79C2412yes—
638C4⋊Dic79C2414yes—
639C4⋊Dic79C2412yes—
640C4⋊Dic79C2414yes—
641C4⋊Dic79C2414yes—
642C4⋊Dic79C2414yes—
643C4⋊Dic79C2414yes—
644C4⋊Dic79C2414yes—
645C4⋊Dic79C2414yes—
646C4⋊Dic79C2414yes—
647C4⋊Dic79C2412yes—
648C4⋊Dic79C2414yes—
649C4⋊Dic79C2412yes—
650Dic79⋊C4C2414yes—
651Dic79⋊C4C2414yes—
652Dic79⋊C4C2414yes—
653Dic79⋊C4C2414yes—
654Dic79⋊C4C2414yes—
655Dic79⋊C4C2414yes—
656Dic79⋊C4C2414yes—
657Dic79⋊C4C2414yes—
658Dic79⋊C4C2414yes—
659Dic79⋊C4C2414yes—
660Dic79⋊C4C2414yes—
661Dic79⋊C4C2414yes—
662Dic79⋊C4C2414yes—
663Dic79⋊C4C2414yes—
664Dic79⋊C4C2414yes—
665Dic79⋊C4C2414yes—
666Dic79⋊C4C2414yes—
667Dic79⋊C4C2414yes—
668Dic79⋊C4C2414yes—
669Dic79⋊C4C2414yes—
670Dic79⋊C4C2414yes—
671Dic79⋊C4C2414yes—
672Dic79⋊C4C2414yes—
673Dic79⋊C4C2414yes—
674Dic79⋊C4C2414yes—
675Dic79⋊C4C2414yes—
676Dic79⋊C4C2414yes—
677Dic79⋊C4C2414yes—
678Dic79⋊C4C2414yes—
679Dic79⋊C4C2414yes—
680Dic79⋊C4C2414yes—
681Dic79⋊C4C2414yes—
682Dic79⋊C4C2414yes—
683Dic79⋊C4C2414yes—
684C22⋊Dic79C2414yes—
685C22⋊Dic79C2414yes—
686C22⋊Dic79C2414yes—
687C22⋊Dic79C2414yes—
688C22⋊Dic79C2414yes—
689C22⋊Dic79C2414yes—
690C22⋊Dic79C2414yes—
691(C2×D79)⋊C4C2414yes—
692(C2×D79)⋊C4C2414yes—
693(C2×D79)⋊C4C2414yes—
694(C2×D79)⋊C4C2414yes—
695(C2×D79)⋊C4C2414yes—
696(C2×D79)⋊C4C2414yes—
697(C2×D79)⋊C4C2414yes—
698(C2×D79)⋊C4C2414yes—
699(C2×D79)⋊C4C2414yes—
700(C2×D79)⋊C4C2414yes—
701(C2×D79)⋊C4C2414yes—
702(C2×D79)⋊C4C2414yes—
703(C2×D79)⋊C4C2414yes—
704(C2×D79)⋊C4C2414yes—
705(C2×D79)⋊C4C2414yes—
706(C2×D79)⋊C4C2414yes—
707(C2×D79)⋊C4C2414yes—
708(C2×D79)⋊C4C2414yes—
709C4×Dic79C2412yes—
710C4×Dic79C2411yescharacteristic
711C4×Dic79C2412yes—
712C4×Dic79C2412yes—
713C4×Dic79C2412yes—
714C4×Dic79C2412yes—
715C4×Dic79C2411yescharacteristic
716C4×Dic79C2414yes—
717C4×Dic79C2414yes—
718C4×Dic79C2414yes—
719C4×Dic79C2414yes—
720C4×Dic79C2414yes—
721C4×Dic79C2414yes—
722C4×Dic79C2414yes—
723C4×Dic79C2414yes—
724C4×Dic79C2414yes—
725C4×Dic79C2414yes—
726C4×Dic79C2414yes—
727C2×Q8×C79C2414yes—
728C2×Q8×C79C2412yes—
729C2×D4×C79C2414yes—
730C2×D4×C79C2414yes—
731C2×D4×C79C2412yes—
732C22×C4×C79C2411yescharacteristic
733C22×C4×C79C2414yes—
734C22×C4×C79C2414yes—
735C22×C4×C79C2414yes—
736C22×C4×C79C2412yes—
737C22×C4×C79C2414yes—
738C4⋊C4×C79C2414yes—
739C4⋊C4×C79C2414yes—
740C4⋊C4×C79C2414yes—
741C4⋊C4×C79C2414yes—
742C4⋊C4×C79C2414yes—
743C4⋊C4×C79C2412yes—
744C4⋊C4×C79C2414yes—
745C4⋊C4×C79C2414yes—
746C4⋊C4×C79C2414yes—
747C4⋊C4×C79C2412yes—
748C4⋊C4×C79C2414yes—
749C4⋊C4×C79C2414yes—
750C4⋊C4×C79C2412yes—
751C4⋊C4×C79C2414yes—
752C4⋊C4×C79C2414yes—
753C4⋊C4×C79C2414yes—
754C4⋊C4×C79C2412yes—
755C4⋊C4×C79C2414yes—
756C4⋊C4×C79C2414yes—
757C22⋊C4×C79C2414yes—
758C22⋊C4×C79C2414yes—
759C22⋊C4×C79C2414yes—
760C22⋊C4×C79C2414yes—
761C22⋊C4×C79C2414yes—
762C22⋊C4×C79C2414yes—
763C22⋊C4×C79C2414yes—
764C22⋊C4×C79C2414yes—
765C22⋊C4×C79C2414yes—
766C42×C79C2411yescharacteristic
767C42×C79C2412yes—
768C42×C79C2411yescharacteristic
769C42×C79C2414yes—
770C42×C79C2414yes—
771C42×C79C2414yes—
772C23×C79C2514yes—
773C23×C79C2511yescharacteristic
774C22×D79—22no—
775C22×D79—24no—
776C22×D79C2514yes—
777C22×D79C2512yes—
778Q8×C79—44no—
779Q8×C79—42no—
780D4×C79—28no—
781D4×C79—44no—
782D4×C79—42no—
783C2×C4×C79—22no—
784C2×C4×C79—42no—
785C2×C4×C79—44no—
786C2×C4×C79—44no—
787C2×C4×C79—44no—
788C2×C4×C79—44no—
789C2×C4×C79C2512yes—
790C2×C4×C79C2514yes—
791C2×C4×C79C2514yes—
792C2×C4×C79C2511yescharacteristic
793C2×C4×C79C2511yescharacteristic
794C2×C4×C79C2514yes—
795C2×C4×C79C2512yes—
796C2×C4×C79C2514yes—
797C2×C4×C79C2514yes—
798C22⋊D79—28no—
799C22⋊D79—28no—
800C22⋊D79—28no—
801C22⋊D79—28no—
802C22⋊D79—44no—
803C22⋊D79—44no—
804C22⋊D79—44no—
805C2×Dic79—28no—
806C2×Dic79—42no—
807C2×Dic79—44no—
808C2×Dic79—44no—
809C2×Dic79—44no—
810C2×Dic79—44no—
811C2×Dic792−1+414yes—
812C2×Dic79C2512yes—
813C2×Dic79C2514yes—
814C2×Dic79C2514yes—
815C2×Dic79C2514yes—
816C2×Dic79C2512yes—
817C2×Dic79C2514yes—
818C2×Dic79C2514yes—
819C2×Dic79C2512yes—
820D316—28no—
821D316—28no—
822D316—44no—
823D316—42no—
824C4×D79—28no—
825C4×D79—24no—
826C4×D79—24no—
827C4×D79—28no—
828C4×D79—24no—
829C4×D79—24no—
830C4×D79—28no—
831C4×D79—42no—
832C4×D79—44no—
833C4×D79—44no—
834C4×D79—42no—
835C4×D79—44no—
836C4×D79—44no—
837C4×D79—44no—
838C4×D79—44no—
839C4×D79—44no—
840C4×D79—44no—
841Dic158—28no—
842Dic158—44no—
843Dic158—42no—
844Dic158—44no—
845Dic158—44no—
846Dic158—44no—
847C22×C79—22no—
848C22×C79—24no—
849C22×C79—24no—
850C22×C79—24no—
851C22×C79C2×2−1+412yes—
852C22×C79C2611yescharacteristic
853C2×D79—28no—
854C2×D79—22no—
855C2×D79—22no—
856C2×D79—24no—
857C2×D79—24no—
858C2×D79—24no—
859C2×D79#58514yes—
860C4×C79—21no—
861C4×C79—21no—
862C4×C79—24no—
863C4×C79—22no—
864C4×C79—24no—
865C4×C79—24no—
866C4×C79—24no—
867C4×C79—22no—
868C4×C79—24no—
869Dic79—24no—
870Dic79—24no—
871Dic79—24no—
872Dic79—22no—
873Dic79—24no—
874Dic79—24no—
875Dic79—22no—
876Dic79C2×2−1+414yes—
877#62825—791nomaximal, Sylow
878C2×C79—22no—
879C2×C79—44no—
880C2×C79C22×2−1+411yescharacteristic
881C2×C79C2×#58512yes—
882D79—24no—
883D79—44no—
884#3563—792no—
885#3563—792no—
886#3563—794no—
887#3559—792no—
888#3559—792no—
889#3559—794no—
890#3553—794no—
891#3553—792no—
892#3553—791no—
893#3553D7911yescharacteristic, complemented
894#3515—794no—
895#3515—794no—
896#3515—794no—
897#3515—794no—
898#3512—794no—
899#3504—794no—
900#3492—794no—
901#3492—794no—
902#3492—794no—
903#3444—792no—
904C22×#125—791no—
905C79#6282511yescharacteristic, complemented, Sylow
906#564—794no—
907#564—791no—
908#564—792no—
909#564C2×D7911yescharacteristic, complemented
910#563—794no—
911#563—792no—
912#563—792no—
913#563—792no—
914#563—794no—
915#563C2×D7912yescomplemented
916#562—791no—
917#562—792no—
918#562—794no—
919#562C2×D7911yescharacteristic, complemented
920#557—794no—
921#557—794no—
922#557—794no—
923#557—794no—
924#554—794no—
925#554—794no—
926#554—794no—
927#554—794no—
928#554—794no—
929#554—794no—
930#554—794no—
931#554—794no—
932#554—794no—
933#554—794no—
934#554—794no—
935#554—794no—
936#554—794no—
937#554—794no—
938#554—794no—
939#554C2×D7914yes—
940#553—794no—
941#553—794no—
942#553—794no—
943#553—794no—
944#553—794no—
945#553—794no—
946#553—794no—
947#553—794no—
948#553—794no—
949#553—794no—
950#553—794no—
951#553—794no—
952#553—794no—
953#553—794no—
954#553—794no—
955#553C2×D7914yes—
956#552—794no—
957#552—794no—
958#552—794no—
959#552—794no—
960#552—794no—
961#552—794no—
962#552—794no—
963#552—794no—
964#552—794no—
965#552—794no—
966#552—794no—
967#552—794no—
968#552—794no—
969#552—794no—
970#552—794no—
971#552—794no—
972#552—794no—
973#552—794no—
974#552—794no—
975#552—794no—
976#552—794no—
977#552—794no—
978#552—794no—
979#552C2×D7914yescomplemented
980#547—794no—
981#547—794no—
982#547—794no—
983#547—794no—
984#547—794no—
985#547—794no—
986#547—794no—
987#547—794no—
988#547—794no—
989#547—794no—
990#547—794no—
991#547—794no—
992#544—794no—
993#544—794no—
994#544—794no—
995#544—794no—
996#544—794no—
997#544—794no—
998#544—794no—
999#541—794no—
1000#541—794no—
1001#541—794no—
1002#541—794no—
1003#541—794no—
1004#541—794no—
1005#541—794no—
1006#541—794no—
1007#541—794no—
1008#541C2×D7914yescomplemented
1009#540—794no—
1010#540—794no—
1011#539—794no—
1012#539—794no—
1013#539—794no—
1014#539—794no—
1015#539—794no—
1016#539—794no—
1017#539—794no—
1018#539—794no—
1019#539—794no—
1020#539—794no—
1021#539—794no—
1022#539—794no—
1023#539—794no—
1024#539—794no—
1025#539—794no—
1026#539—794no—
1027#539—794no—
1028#539—794no—
1029#539C2×D7914yes—
1030#539C2×D7914yescomplemented
1031#537—794no—
1032#537—794no—
1033#537—794no—
1034#533—792no—
1035#533—792no—
1036#533—794no—
1037#533—792no—
1038#533—794no—
1039#532—792no—
1040#532—792no—
1041#532—792no—
1042#529—794no—
1043#529—794no—
1044#529—794no—
1045#529—792no—
1046#529—792no—
1047#529—794no—
1048#529—794no—
1049#529—794no—
1050#529—794no—
1051#529—794no—
1052#529—792no—
1053#529C2×D7912yes—
1054C2×#125—792no—
1055C2×#125—792no—
1056C2×#125—794no—
1057C2×#125—792no—
1058C2×#125—792no—
1059C2×#125—794no—
1060C2×#125—794no—
1061C2×#125—794no—
1062C2×#125—792no—
1063C2×#125—794no—
1064C2×#125—791no—
1065C2×#125C2×D7911yescharacteristic
1066#525—794no—
1067#525—792no—
1068#525—794no—
1069#525—792no—
1070#525—794no—
1071#525—794no—
1072#525—794no—
1073#525—794no—
1074#520—794no—
1075#520—794no—
1076#520—794no—
1077#520—794no—
1078#520—794no—
1079#520—794no—
1080C4×#41—792no—
1081C4×#41—794no—
1082C4×#41—792no—
1083C4×#41—794no—
1084C22×C4⋊C4—792no—
1085C22×C4⋊C4—794no—
1086C22×C42—791no—
1087C2×#41—792no—
1088C2×#41—794no—
1089C2×#41—792no—
1090C2×#41—794no—
1091C2×#41—794no—
1092C2×#41—794no—
1093C2×#41—794no—
1094C2×#41—794no—
1095C23×C4—794no—
1096C23×C4—792no—
1097C23×C4—791no—
1098C4⋊Q8—792no—
1099C4⋊Q8—794no—
1100C4⋊Q8—794no—
1101C4⋊Q8—794no—
1102C4⋊Q8—794no—
1103C4⋊Q8—792no—
1104C4⋊Q8—792no—
1105C4⋊Q8—794no—
1106C4⋊Q8—794no—
1107C4⋊Q8—794no—
1108C4⋊Q8—794no—
1109C4⋊Q8—794no—
1110C4⋊Q8—794no—
1111C4⋊Q8—794no—
1112C4⋊Q8C22×D7914yes—
1113#127—792no—
1114#126—794no—
1115#126—794no—
1116#126—794no—
1117#126—794no—
1118#126—794no—
1119#126—794no—
1120#126—794no—
1121#126—794no—
1122#126—794no—
1123#126—794no—
1124#126—794no—
1125#126—794no—
1126#126—794no—
1127#126—794no—
1128#126—794no—
1129#126—794no—
1130#126—794no—
1131#126—794no—
1132#126—794no—
1133#126—794no—
1134#126—794no—
1135#126—794no—
1136#126—794no—
1137#126C22×D7914yes—
1138#126C22×D7914yes—
1139#126C22×D7914yes—
1140#126C22×D7914yes—
1141#126C22×D7914yes—
1142#125—794no—
1143#125—794no—
1144#125—792no—
1145#125—792no—
1146#125—792no—
1147#125—792no—
1148#125—794no—
1149#125—794no—
1150#125—794no—
1151#125—794no—
1152#125—794no—
1153#125—794no—
1154#125—794no—
1155#125—794no—
1156#125—794no—
1157#125—794no—
1158#125—794no—
1159#125—794no—
1160#125—794no—
1161#125—794no—
1162#125—794no—
1163#125—794no—
1164#125—794no—
1165#125—794no—
1166#125—794no—
1167#125—794no—
1168#125—794no—
1169#125—794no—
1170#125—794no—
1171#125—794no—
1172#125—794no—
1173#125—794no—
1174#125—794no—
1175#125—794no—
1176#125—794no—
1177#125—794no—
1178#125—794no—
1179#125—794no—
1180#125—794no—
1181#125—794no—
1182#125—794no—
1183#125—794no—
1184#125—794no—
1185#125—794no—
1186#125—794no—
1187#125—791no—
1188#125—791no—
1189#125—792no—
1190#125—794no—
1191#125—792no—
1192#125—794no—
1193#125—794no—
1194#125C22×D7914yes—
1195#125C22×D7912yes—
1196#125C22×D7911yescharacteristic
1197#125C22×D7911yescharacteristic
1198#125C22×D7914yes—
1199#125C22×D7912yes—
1200#125C22×D7914yes—
1201#125C22×D7914yes—
1202#125C22×D7914yes—
1203#125C22×D7914yes—
1204#124—794no—
1205#124—794no—
1206#124—792no—
1207#124C22×D7912yes—
1208#123—794no—
1209#123—794no—
1210#123—794no—
1211#123—794no—
1212#123—794no—
1213#123—794no—
1214#123—794no—
1215#123—794no—
1216#123—794no—
1217#123—794no—
1218#123—794no—
1219#123—794no—
1220#123—794no—
1221#123—794no—
1222#123—794no—
1223#123—794no—
1224#123—794no—
1225#123—794no—
1226#123—794no—
1227#123—794no—
1228#123—794no—
1229#123—794no—
1230#123—794no—
1231#123—794no—
1232#123—794no—
1233#123—794no—
1234#123—794no—
1235#123—794no—
1236#123—794no—
1237#123—794no—
1238#123—794no—
1239#123—794no—
1240#123—794no—
1241#123C22×D7914yes—
1242#123C22×D7914yes—
1243#123C22×D7914yes—
1244#123C22×D7914yes—
1245#123C22×D7914yes—
1246C22⋊Q8—792no—
1247C22⋊Q8—794no—
1248C22⋊Q8—794no—
1249C22⋊Q8—794no—
1250C22⋊Q8—794no—
1251C22⋊Q8—792no—
1252C22⋊Q8—794no—
1253C22⋊Q8—794no—
1254C22⋊Q8—794no—
1255C22⋊Q8—794no—
1256C22⋊Q8—794no—
1257C22⋊Q8—792no—
1258C22⋊Q8—794no—
1259C22⋊Q8—794no—
1260C22⋊Q8—794no—
1261C22⋊Q8—794no—
1262C22⋊Q8—794no—
1263C22⋊Q8—794no—
1264C22⋊Q8—794no—
1265C22⋊Q8—794no—
1266C22⋊Q8—794no—
1267C22⋊Q8—794no—
1268C22⋊Q8—794no—
1269C22⋊Q8—794no—
1270C22⋊Q8—794no—
1271C22⋊Q8—794no—
1272C22⋊Q8—794no—
1273C22⋊Q8—794no—
1274C22⋊Q8—794no—
1275C22⋊Q8—794no—
1276C22⋊Q8—794no—
1277C22⋊Q8—794no—
1278C22⋊Q8—794no—
1279C22⋊Q8—794no—
1280C22⋊Q8—794no—
1281C22⋊Q8—794no—
1282C22⋊Q8—794no—
1283C22⋊Q8—794no—
1284C22⋊Q8—794no—
1285C22⋊Q8—794no—
1286C22⋊Q8—794no—
1287C22⋊Q8—794no—
1288C22⋊Q8—794no—
1289C22⋊Q8—794no—
1290C22⋊Q8—794no—
1291C22⋊Q8C22×D7912yes—
1292C22⋊Q8C22×D7914yes—
1293C22⋊Q8C22×D7914yes—
1294C22⋊Q8C22×D7914yes—
1295C22⋊Q8C22×D7914yes—
1296C22⋊Q8C22×D7914yes—
1297C22⋊Q8C22×D7914yes—
1298#121—792no—
1299#121—794no—
1300#121—794no—
1301#121—794no—
1302#121—794no—
1303#121—794no—
1304#121—794no—
1305#121—794no—
1306#121—794no—
1307#121—794no—
1308#121—792no—
1309#121—794no—
1310#121—794no—
1311#121—792no—
1312#121—794no—
1313#121—794no—
1314#121—794no—
1315#121—794no—
1316#121—794no—
1317#121—794no—
1318#121—794no—
1319#121—794no—
1320#121—794no—
1321#121—794no—
1322#121—794no—
1323#121C22×D7912yes—
1324#121C22×D7914yes—
1325#121C22×D7914yes—
1326#120—794no—
1327#120—794no—
1328C4×Q8—792no—
1329C4×Q8—794no—
1330C4×Q8—794no—
1331C4×Q8—794no—
1332C4×Q8—792no—
1333C4×Q8—794no—
1334C4×Q8—794no—
1335C4×Q8—794no—
1336C4×Q8—794no—
1337C4×Q8—794no—
1338C4×Q8—794no—
1339C4×Q8—792no—
1340C4×Q8—794no—
1341C4×Q8—794no—
1342C4×Q8—794no—
1343C4×Q8—794no—
1344C4×Q8—794no—
1345C4×Q8—794no—
1346C4×Q8C22×D7912yes—
1347C4×Q8C22×D7914yes—
1348C4×D4—794no—
1349C4×D4—792no—
1350C4×D4—794no—
1351C4×D4—794no—
1352C4×D4—794no—
1353C4×D4—794no—
1354C4×D4—794no—
1355C4×D4—794no—
1356C4×D4—794no—
1357C4×D4—794no—
1358C4×D4—794no—
1359C4×D4—794no—
1360C4×D4—794no—
1361C4×D4—794no—
1362C4×D4—794no—
1363C4×D4—794no—
1364C4×D4—794no—
1365C4×D4—794no—
1366C4×D4—794no—
1367C4×D4—792no—
1368C4×D4—794no—
1369C4×D4—794no—
1370C4×D4—794no—
1371C4×D4—794no—
1372C4×D4—794no—
1373C4×D4—794no—
1374C4×D4—794no—
1375C4×D4—794no—
1376C4×D4—794no—
1377C4×D4—794no—
1378C4×D4—794no—
1379C4×D4—794no—
1380C4×D4—794no—
1381C4×D4—794no—
1382C4×D4—794no—
1383C4×D4—794no—
1384C4×D4—794no—
1385C4×D4—794no—
1386C4×D4—794no—
1387C4×D4—792no—
1388C4×D4—794no—
1389C4×D4—794no—
1390C4×D4—794no—
1391C4×D4C22×D7914yes—
1392C4×D4C22×D7912yes—
1393C4×D4C22×D7914yes—
1394C4×D4C22×D7914yes—
1395C4×D4C22×D7914yes—
1396#117—794no—
1397#117—792no—
1398#117—792no—
1399#117—794no—
1400#117—794no—
1401#117—794no—
1402#117—794no—
1403#117—794no—
1404#117—794no—
1405#117—794no—
1406#117—794no—
1407#117—794no—
1408#117—794no—
1409#117—794no—
1410#117—794no—
1411#117—794no—
1412#117—794no—
1413#117—794no—
1414#117—794no—
1415#117—794no—
1416#117—794no—
1417#117—794no—
1418#117—794no—
1419#117—794no—
1420#117C22×D7914yes—
1421#117C22×D7914yes—
1422C2×C4⋊C4—794no—
1423C2×C4⋊C4—792no—
1424C2×C4⋊C4—794no—
1425C2×C4⋊C4—794no—
1426C2×C4⋊C4—794no—
1427C2×C4⋊C4—794no—
1428C2×C4⋊C4—794no—
1429C2×C4⋊C4—794no—
1430C2×C4⋊C4—794no—
1431C2×C4⋊C4—794no—
1432C2×C4⋊C4—794no—
1433C2×C4⋊C4—794no—
1434C2×C4⋊C4—794no—
1435C2×C4⋊C4—794no—
1436C2×C4⋊C4—792no—
1437C2×C4⋊C4—794no—
1438C2×C4⋊C4—792no—
1439C2×C4⋊C4—794no—
1440C2×C4⋊C4—794no—
1441C2×C4⋊C4—794no—
1442C2×C4⋊C4—794no—
1443C2×C4⋊C4—792no—
1444C2×C4⋊C4—794no—
1445C2×C4⋊C4—792no—
1446C2×C4⋊C4—794no—
1447C2×C4⋊C4—794no—
1448C2×C4⋊C4—794no—
1449C2×C4⋊C4—794no—
1450C2×C4⋊C4—794no—
1451C2×C4⋊C4—794no—
1452C2×C4⋊C4C22×D7912yes—
1453C2×C4⋊C4C22×D7914yes—
1454C2×C4⋊C4C22×D7914yes—
1455C2×C42—794no—
1456C2×C42—792no—
1457C2×C42—791no—
1458C2×C42—794no—
1459C2×C42—792no—
1460C2×C42—792no—
1461C2×C42—792no—
1462C2×C42—792no—
1463C2×C42C22×D7911yescharacteristic
1464C24—791no—
1465#41—3168no—
1466#41—3168no—
1467#41—3168no—
1468#41—3164no—
1469#41—3168no—
1470#41—3164no—
1471#41—3168no—
1472#41—15816no—
1473C2×Q8—794no—
1474C2×Q8—794no—
1475C2×Q8—794no—
1476C2×Q8—792no—
1477C2×Q8—794no—
1478C2×Q8—794no—
1479C2×Q8C23×D7914yes—
1480C2×Q8C23×D7912yes—
1481C2×D4—794no—
1482C2×D4—794no—
1483C2×D4—794no—
1484C2×D4—794no—
1485C2×D4—794no—
1486C2×D4—794no—
1487C2×D4—794no—
1488C2×D4—794no—
1489C2×D4—792no—
1490C2×D4—794no—
1491C2×D4—794no—
1492C2×D4C23×D7914yes—
1493C2×D4C23×D7914yes—
1494C2×D4C23×D7912yes—
1495C22×C4—3168no—
1496C22×C4—3164no—
1497C22×C4—792no—
1498C22×C4—794no—
1499C22×C4—794no—
1500C22×C4—794no—
1501C22×C4—794no—
1502C22×C4—792no—
1503C22×C4—792no—
1504C22×C4—794no—
1505C22×C4—794no—
1506C22×C4—794no—
1507C22×C4—794no—
1508C22×C4—794no—
1509C22×C4—794no—
1510C22×C4—794no—
1511C22×C4—794no—
1512C22×C4—791no—
1513C22×C4—794no—
1514C22×C4—792no—
1515C22×C4—792no—
1516C22×C4—792no—
1517C22×C4—792no—
1518C22×C4—794no—
1519C22×C4—794no—
1520C22×C4—794no—
1521C22×C4—1584no—
1522C22×C4C23×D7911yescharacteristic
1523C22×C4C23×D7912yes—
1524C22×C4C23×D7914yes—
1525C22×C4C23×D7914yes—
1526C22×C4C23×D7914yes—
1527C22×C4C23×D7914yes—
1528C4⋊C4—794no—
1529C4⋊C4—794no—
1530C4⋊C4—794no—
1531C4⋊C4—794no—
1532C4⋊C4—794no—
1533C4⋊C4—794no—
1534C4⋊C4—794no—
1535C4⋊C4—794no—
1536C4⋊C4—794no—
1537C4⋊C4—794no—
1538C4⋊C4—794no—
1539C4⋊C4—794no—
1540C4⋊C4—794no—
1541C4⋊C4—794no—
1542C4⋊C4—794no—
1543C4⋊C4—794no—
1544C4⋊C4—794no—
1545C4⋊C4—794no—
1546C4⋊C4—794no—
1547C4⋊C4—794no—
1548C4⋊C4—794no—
1549C4⋊C4—794no—
1550C4⋊C4—794no—
1551C4⋊C4—794no—
1552C4⋊C4—794no—
1553C4⋊C4—794no—
1554C4⋊C4—794no—
1555C4⋊C4—794no—
1556C4⋊C4—794no—
1557C4⋊C4—794no—
1558C4⋊C4—794no—
1559C4⋊C4—794no—
1560C4⋊C4—794no—
1561C4⋊C4—794no—
1562C4⋊C4—794no—
1563C4⋊C4—794no—
1564C4⋊C4—794no—
1565C4⋊C4—794no—
1566C4⋊C4—792no—
1567C4⋊C4—794no—
1568C4⋊C4—792no—
1569C4⋊C4—794no—
1570C4⋊C4—794no—
1571C4⋊C4—794no—
1572C4⋊C4—794no—
1573C4⋊C4—794no—
1574C4⋊C4—794no—
1575C4⋊C4—794no—
1576C4⋊C4—792no—
1577C4⋊C4—792no—
1578C4⋊C4—794no—
1579C4⋊C4C23×D7914yes—
1580C4⋊C4C23×D7914yes—
1581C4⋊C4C23×D7914yes—
1582C4⋊C4C23×D7914yes—
1583C4⋊C4C23×D7912yes—
1584C4⋊C4C23×D7914yes—
1585C4⋊C4C23×D7912yes—
1586C4⋊C4C23×D7914yes—
1587C4⋊C4C23×D7914yes—
1588C4⋊C4C23×D7914yes—
1589C4⋊C4C23×D7914yes—
1590C4⋊C4C23×D7914yes—
1591C4⋊C4C23×D7914yes—
1592C4⋊C4C23×D7914yes—
1593C4⋊C4C23×D7912yes—
1594C4⋊C4C23×D7914yes—
1595C4⋊C4C23×D7912yes—
1596C4⋊C4C23×D7914yes—
1597C4⋊C4C23×D7914yes—
1598C22⋊C4—794no—
1599C22⋊C4—794no—
1600C22⋊C4—794no—
1601C22⋊C4—794no—
1602C22⋊C4—794no—
1603C22⋊C4—794no—
1604C22⋊C4—794no—
1605C22⋊C4—794no—
1606C22⋊C4—794no—
1607C22⋊C4—794no—
1608C22⋊C4—794no—
1609C22⋊C4—794no—
1610C22⋊C4—794no—
1611C22⋊C4—794no—
1612C22⋊C4—794no—
1613C22⋊C4—794no—
1614C22⋊C4—794no—
1615C22⋊C4—794no—
1616C22⋊C4—794no—
1617C22⋊C4—794no—
1618C22⋊C4—794no—
1619C22⋊C4—794no—
1620C22⋊C4—794no—
1621C22⋊C4—794no—
1622C22⋊C4—794no—
1623C22⋊C4C23×D7914yes—
1624C22⋊C4C23×D7914yes—
1625C22⋊C4C23×D7914yes—
1626C22⋊C4C23×D7914yes—
1627C22⋊C4C23×D7914yes—
1628C22⋊C4C23×D7914yes—
1629C22⋊C4C23×D7914yes—
1630C22⋊C4C23×D7914yes—
1631C22⋊C4C23×D7914yes—
1632C42—792no—
1633C42—791no—
1634C42—792no—
1635C42—792no—
1636C42—792no—
1637C42—792no—
1638C42—791no—
1639C42—794no—
1640C42—794no—
1641C42—794no—
1642C42—794no—
1643C42—794no—
1644C42—794no—
1645C42—794no—
1646C42—794no—
1647C42—794no—
1648C42—794no—
1649C42—794no—
1650C42C23×D7911yescharacteristic
1651C42C23×D7912yes—
1652C42C23×D7911yescharacteristic
1653C42C23×D7914yes—
1654C42C23×D7914yes—
1655C42C23×D7914yes—
1656C23—792no—
1657C23—794no—
1658C23—1584no—
1659C23—1582no—
1660C23C24×D7914yes—
1661C23C24×D7911yescharacteristic
1662Q8—44no—
1663Q8—42no—
1664Q8—3164no—
1665Q8—3164no—
1666Q8—3164no—
1667Q8—3164no—
1668Q8—3162no—
1669Q8—1588no—
1670D4—28no—
1671D4—44no—
1672D4—42no—
1673D4—3164no—
1674D4—3162no—
1675D4—3164no—
1676D4—3164no—
1677D4—3164no—
1678D4—1588no—
1679D4—1588no—
1680D4—1588no—
1681D4—1588no—
1682D4—1588no—
1683D4—1588no—
1684C2×C4—22no—
1685C2×C4—42no—
1686C2×C4—44no—
1687C2×C4—44no—
1688C2×C4—44no—
1689C2×C4—44no—
1690C2×C4—3162no—
1691C2×C4—3164no—
1692C2×C4—3164no—
1693C2×C4—3162no—
1694C2×C4—3164no—
1695C2×C4—3164no—
1696C2×C4—3164no—
1697C2×C4—3164no—
1698C2×C4—3164no—
1699C2×C4—3164no—
1700C2×C4—3162no—
1701C2×C4—3164no—
1702C2×C4—3164no—
1703C2×C4—3164no—
1704C2×C4—3164no—
1705C2×C4—794no—
1706C2×C4—792no—
1707C2×C4—792no—
1708C2×C4—794no—
1709C2×C4—794no—
1710C2×C4—794no—
1711C2×C4—792no—
1712C2×C4—794no—
1713C2×C4—794no—
1714C2×C4—1584no—
1715C2×C4—1584no—
1716C2×C4—1588no—
1717C2×C4—1584no—
1718C2×C4—1588no—
1719C2×C4—1588no—
1720C2×C4—1584no—
1721C2×C4—1588no—
1722C2×C4C24×D7912yes—
1723C2×C4C24×D7914yes—
1724C2×C4C24×D7914yes—
1725C2×C4C24×D7911yescharacteristic
1726C2×C4C24×D7911yescharacteristic
1727C2×C4C24×D7914yes—
1728C2×C4C24×D7912yes—
1729C2×C4C24×D7914yes—
1730C2×C4C24×D7914yes—
1731C22—22no—
1732C22—24no—
1733C22—24no—
1734C22—24no—
1735C22—794no—
1736C22—1588no—
1737C22—1584no—
1738C22—1584no—
1739C22—1584no—
1740C22—1582no—
1741C22—1582no—
1742C222−1+4×D7912yes—
1743C22C25×D7911yescharacteristic
1744C4—21no—
1745C4—21no—
1746C4—24no—
1747C4—22no—
1748C4—24no—
1749C4—24no—
1750C4—24no—
1751C4—24no—
1752C4—22no—
1753C4—794no—
1754C4—1584no—
1755C4—1582no—
1756C4—1584no—
1757C4—1584no—
1758C4—1584no—
1759C4—1584no—
1760C4—1582no—
1761C2—22no—
1762C2—44no—
1763C2—3164no—
1764C2—1584no—
1765C2C2×2−1+4×D7911yescharacteristic
1766C2#585×D7912yes—
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3553C2
hypercenter#3553D79
hypocenterC79#62825
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3553

Complements

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

NH ≅ G/Ntype
1. #23778009C2semidirect
2. #23778000C2semidirect
3. #23777998C2semidirect
4. #23777937C2semidirect
5. #23777928C2semidirect
6. #23777926C2semidirect
7. #23777856C2semidirect
8. #23777853C2semidirect
9. #23777850C2semidirect
10. #23777376C2semidirect
11. #23777374C2semidirect
12. #23777370C2semidirect
13. #23777367C2semidirect
14. #23777316C2semidirect
15. #23777220C2semidirect
16. #23777108C2semidirect
17. #23777105C2semidirect
18. #23777104C2semidirect
19. #23776694C2semidirect
20. C2×#125×D79C2semidirect
21. C79×#3553C2semidirect
22. C79⋊#564C22semidirect
23. C79⋊#564C22semidirect
24. C79⋊#564C22semidirect
25. #19099317C22semidirect
26. #19099317C22semidirect
27. #19099315C22semidirect
28. #19099314C22semidirect
29. #19099313C22semidirect
30. #19099311C22semidirect
31. #19099310C22semidirect
32. #19099307C22semidirect
33. #19099291C22semidirect
34. #19099290C22semidirect
35. #19099290C22semidirect
36. #19099288C22semidirect
40. #19099271C22semidirect
45. #19099268C22semidirect
50. #19099267C22semidirect
51. #19099267C22semidirect
55. #19099264C22semidirect
58. #19099262C22semidirect
63. #19099258C22semidirect
66. #19099256C22semidirect
67. #19099255C22semidirect
70. #19099252C22semidirect
72. #19099251C22semidirect
73. #19099250C22semidirect
74. #19099250C22semidirect
79. #19099249C22semidirect
80. #19099249C22semidirect
82. #19099246C22semidirect
83. #19099246C22semidirect
88. #19099245C22semidirect
89. #19099245C22semidirect
103. #19099193C22semidirect
105. #19099192C22semidirect
106. #19099192C22semidirect
108. #19099190C22semidirect
109. #19099176C22semidirect
110. #19099173C22semidirect
111. #19099172C22semidirect
112. #19099172C22semidirect
113. #19099172C22semidirect
114. #19099171C22semidirect
115. #19099170C22semidirect
116. #19099170C22semidirect
117. #19099170C22semidirect
118. #19099165C22semidirect
119. #19099163C22semidirect
120. #19099162C22semidirect
123. #19099161C22semidirect
129. #19099157C22semidirect
132. #19099156C22semidirect
133. #19099155C22semidirect
136. #19099154C22semidirect
137. #19099154C22semidirect
143. #19099117C22semidirect
145. #19099115C22semidirect
153. #19099096C22semidirect
154. #19099093C22semidirect
157. #19099091C22semidirect
159. #19099090C22semidirect
163. C2×#14579151C22semidirect
170. #125×D79C22semidirect
192. #564×C79C22semidirect
193. #563×C79C22semidirect
194. #562×C79C22semidirect
197. #552×C79C22semidirect
198. #541×C79C22semidirect
200. #539×C79C22semidirect
893. #3553D79semidirect
905. C79#62825semidirect
909. #564C2×D79semidirect
915. #563C2×D79semidirect
919. #562C2×D79semidirect
979. #552C2×D79semidirect
1008. #541C2×D79semidirect
1030. #539C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780092
#237780002
#237779982
#237779372
#237779282
#237779262
#237778562
#237778532
#237778502
#237773762
#237773742
#237773702
#237773672
#237773162
#237772202
#237771082
#237771052
#237771042
#237766942
C2×#125×D792
C79×#35532
#6282579