Finite Group Databasebeta

← #35201977

Subgroups — #35201977

Order 20224.

7352 conjugacy classes of subgroups.

The subgroup lattice has 2142 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777920C213yesmaximal, complemented
2#23777915C213yesmaximal, complemented
3#23777828C213yesmaximal, complemented
4#23777822C213yesmaximal, complemented
5#23777801C213yesmaximal, complemented
6#23777734C213yesmaximal, complemented
7#23777730C213yesmaximal, complemented
8#23777730C213yesmaximal, complemented
9#23777729C213yesmaximal, complemented
10#23777723C213yesmaximal, complemented
11#23777719C213yesmaximal, complemented
12#23777712C213yesmaximal, complemented
13#23777710C213yesmaximal, complemented
14#23777638C213yesmaximal, complemented
15#23777636C213yesmaximal, complemented
16#23777539C213yesmaximal, complemented
17#23777512C211yesmaximal, characteristic, complemented
18#23777511C211yesmaximal, characteristic, complemented
19#23777509C211yesmaximal, characteristic, complemented
20#23777407C211yesmaximal, characteristic, complemented
21#23777400C211yesmaximal, characteristic, complemented
22#23777191C211yesmaximal, characteristic, complemented
23#23777178C211yesmaximal, characteristic, complemented
24#23777177C211yesmaximal, characteristic, complemented
25#23777070C211yesmaximal, characteristic, complemented
26#23777068C211yesmaximal, characteristic, complemented
27#23777066C211yesmaximal, characteristic, complemented
28#23777066C211yesmaximal, characteristic, complemented
29#23777059C211yesmaximal, characteristic, complemented
30#23777057C211yesmaximal, characteristic, complemented
31C79×#3524C211yesmaximal, characteristic, complemented
32C2×#14579209C2211yescharacteristic, complemented
33C2×#14579207C2211yescharacteristic, complemented
34C2×#14579207C2211yescharacteristic, complemented
35C2×#14579207C2211yescharacteristic, complemented
36C22×#11929625C2211yescharacteristic, complemented
37C2×#41×D79C2211yescharacteristic, complemented
38#19099317C2213yescomplemented
39#19099315C2211yescharacteristic, complemented
40#19099315C2213yescomplemented
41#19099311C2213yescomplemented
42#19099310C2213yescomplemented
43#19099310C2213yescomplemented
44#19099309C2213yescomplemented
45#19099309C2213yescomplemented
46#19099307C2213yescomplemented
47#19099305C2213yescomplemented
48#19099305C2216yescomplemented
49#19099304C2213yescomplemented
50#19099304C2213yescomplemented
51#19099304C2216yescomplemented
52#19099304C2216yescomplemented
53#19099303C2213yescomplemented
54#19099303C2213yescomplemented
55#19099303C2216yescomplemented
56#19099301C2213yescomplemented
57#19099301C2213yescomplemented
58#19099301C2216yescomplemented
59#19099298C2213yescomplemented
60#19099298C2213yescomplemented
61#19099296C2213yescomplemented
62#19099289C2211yescharacteristic, complemented
63#19099279C2213yescomplemented
64#19099276C2216yescomplemented
65#19099276C2213yescomplemented
66#19099276C2213yescomplemented
67#19099266C2213yescomplemented
68#19099266C2213yescomplemented
69#19099266C2213yescomplemented
70#19099263C2213yescomplemented
71#19099263C2213yescomplemented
72#19099261C2213yescomplemented
73#19099257C2213yescomplemented
74#19099254C2213yescomplemented
75#19099252C2213yescomplemented
76#19099251C2213yescomplemented
77#19099238C2216yescomplemented
78#19099237C2216yescomplemented
79#19099235C2211yescharacteristic, complemented
80#19099235C2211yescharacteristic, complemented
81#19099235C2211yescharacteristic, complemented
82#19099235C2213yescomplemented
83#19099235C2213yescomplemented
84#19099235C2211yescharacteristic, complemented
85#19099235C2211yescharacteristic, complemented
86#19099235C2211yescharacteristic, complemented
87#19099235C2213yescomplemented
88#19099234C2213yescomplemented
89#19099234C2213yescomplemented
90#19099232C2211yescharacteristic, complemented
91#19099232C2211yescharacteristic, complemented
92#19099232C2211yescharacteristic, complemented
93#19099231C2213yescomplemented
94#19099225C2213yescomplemented
95#19099225C2213yescomplemented
96#19099225C2211yescharacteristic, complemented
97#19099225C2211yescharacteristic, complemented
98#19099225C2211yescharacteristic, complemented
99#19099224C2211yescharacteristic, complemented
100#19099224C2211yescharacteristic, complemented
101#19099223C2213yescomplemented
102#19099221C2213yescomplemented
103#19099220C2211yescharacteristic, complemented
104#19099216C2213yescomplemented
105#19099214C2213yescomplemented
106#19099210C2213yescomplemented
107#19099210C2213yescomplemented
108#19099209C2213yescomplemented
109#19099209C2216yescomplemented
110#19099209C2213yescomplemented
111#19099208C2213yescomplemented
112#19099208C2213yescomplemented
113#19099206C2213yescomplemented
114#19099206C2213yescomplemented
115#19099206C2216yescomplemented
116#19099206C2213yescomplemented
117#19099205C2216yescomplemented
118#19099204C2213yescomplemented
119#19099204C2213yescomplemented
120#19099204C2216yescomplemented
121#19099204C2213yescomplemented
122D4×D316C2213yescomplemented
123D4×D316C2213yescomplemented
124D4×D316C2213yescomplemented
125D4×D316C2213yescomplemented
126D4×D316C2213yescomplemented
127D4×D316C2216yescomplemented
128D4×D316C2213yescomplemented
129D4×D316C2213yescomplemented
130D4×D316C2213yescomplemented
131D4×D316C2213yescomplemented
132#19099198C2213yescomplemented
133#19099198C2213yescomplemented
134#19099197C2213yescomplemented
135#19099197C2213yescomplemented
136#19099197C2216yescomplemented
137#19099197C2213yescomplemented
138#19099197C2213yescomplemented
139#19099197C2216yescomplemented
140#19099197C2213yescomplemented
141#19099187C2213yescomplemented
142#19099185C2213yescomplemented
143#19099178C2213yescomplemented
144#19099169C2216yescomplemented
145#19099169C2213yescomplemented
146#19099169C2213yescomplemented
147#19099169C2213yescomplemented
148#19099168C2216yescomplemented
149#19099168C2213yescomplemented
150#19099168C2213yescomplemented
151#19099165C2216yescomplemented
152#19099164C2216yescomplemented
153#19099164C2213yescomplemented
154#19099164C2213yescomplemented
155#19099152C2216yescomplemented
156#19099152C2216yescomplemented
157#19099149C2216yescomplemented
158#19099149C2216yescomplemented
159#19099147C2216yescomplemented
160#19099146C2216yescomplemented
161#19099144C2213yescomplemented
162#19099143C2213yescomplemented
163#19099143C2213yescomplemented
164#19099142C2213yescomplemented
165#19099136C2213yescomplemented
166#19099132C2213yescomplemented
167#19099132C2213yescomplemented
168#19099132C2216yescomplemented
169#19099132C2213yescomplemented
170#19099132C2213yescomplemented
171#19099132C2213yescomplemented
172#19099131C2216yescomplemented
173#19099131C2216yescomplemented
174#19099131C2213yescomplemented
175#19099131C2213yescomplemented
176#19099131C2213yescomplemented
177#19099129C2213yescomplemented
178#19099129C2213yescomplemented
179#19099129C2216yescomplemented
180#19099129C2213yescomplemented
181#19099129C2213yescomplemented
182#19099126C2213yescomplemented
183#19099124C2216yescomplemented
184#19099124C2216yescomplemented
185#19099124C2216yescomplemented
186#19099124C2216yescomplemented
187#19099124C2216yescomplemented
188#19099121C2216yescomplemented
189#19099114C2213yescomplemented
190#19099113C2213yescomplemented
191#19099110C2213yescomplemented
192#19099110C2213yescomplemented
193#19099110C2213yescomplemented
194C2×#14579158C2213yescomplemented
195#127×D79C2213yescomplemented
196#19099100C2213yescomplemented
197#19099100C2213yescomplemented
198#19099100C2213yescomplemented
199#19099098C2213yescomplemented
200#19099097C2213yescomplemented
201#19099097C2213yescomplemented
202#19099091C2213yescomplemented
203#19099091C2213yescomplemented
204#124×D79C2213yescomplemented
205#19099076C2213yescomplemented
206#19099075C2213yescomplemented
207#19099075C2213yescomplemented
208#19099075C2213yescomplemented
209#19099072C2213yescomplemented
210#19099072C2213yescomplemented
211#19099072C2213yescomplemented
212#19099072C2213yescomplemented
213C2×#14579136C2213yescomplemented
214#121×D79C2213yescomplemented
215#121×D79C2213yescomplemented
216#121×D79C2213yescomplemented
217#19099045C2211yescharacteristic, complemented
218#19099045C2211yescharacteristic, complemented
219#19099045C2211yescharacteristic, complemented
220#19099039C2211yescharacteristic, complemented
221C4×#11929625C2211yescharacteristic, complemented
222C4×#11929625C2211yescharacteristic, complemented
223#559×C79C2213yescomplemented
224#557×C79C2211yescharacteristic, complemented
225#555×C79C2213yescomplemented
226#553×C79C2213yescomplemented
227#552×C79C2213yescomplemented
228#550×C79C2211yescharacteristic, complemented
229#548×C79C2211yescharacteristic, complemented
230#548×C79C2211yescharacteristic, complemented
231#542×C79C2213yescomplemented
232#540×C79C2213yescomplemented
233#529×C79C2213yescomplemented
234#529×C79C2213yescomplemented
235#520×C79C2211yescharacteristic, complemented
236#519×C79C2211yescharacteristic, complemented
237C4×#41×C79C2211yescharacteristic, complemented
238#14579209—44no—
239#14579207—44no—
240#14579207—44no—
241#14579207—44no—
242C2×#11929625—44no—
243C2×#11929625C2311yescharacteristic
244C2×#11929625C2311yescharacteristic
245C2×#11929625C2311yescharacteristic
246C2×#11929625C2311yescharacteristic
247C2×#11929625C2311yescharacteristic
248C2×#11929625C2313yes—
249C2×#11929625C2313yes—
250C2×#11929625C2313yes—
251C2×#11929625C2316yes—
252C2×#11929624C2313yes—
253C2×#11929624C2313yes—
254C2×#11929624C2313yes—
255C2×#11929624C2313yes—
256C2×#11929624C2313yes—
257C2×#11929624C2313yes—
258C2×#11929624C2316yes—
259C2×#11929623C2313yes—
260#41×D79—44no—
261C2×Q8×D79C2311yescharacteristic
262C2×Q8×D79C2313yes—
263C22×D316C2313yes—
264C22×D316C2313yes—
265C22×D316C2313yes—
266C22×D316C2313yes—
267C22×D316C2316yes—
268C22×D316C2316yes—
269C22×D316C2316yes—
270C2×D4×D79C2313yes—
271C2×D4×D79C2313yes—
272C2×D4×D79C2313yes—
273C2×D4×D79C2313yes—
274C2×D4×D79C2313yes—
275C2×D4×D79C2313yes—
276C2×D4×D79C2313yes—
277C2×D4×D79C2316yes—
278C2×D4×D79C2316yes—
279C2×D4×D79C2316yes—
280C2×D4×D79C2316yes—
281C2×D4×D79C2316yes—
282C22×C4×D79C2313yes—
283C22×C4×D79C2313yes—
284#14579161C2311yescharacteristic
285#14579160C2313yes—
286#14579160C2313yes—
287#14579160C2311yescharacteristic
288#14579158C2316yes—
289#14579158C2313yes—
290#14579158C2313yes—
291#14579158C2313yes—
292#14579158C2313yes—
293#14579158C2313yes—
294#14579158C2313yes—
295#14579158C2316yes—
296#14579158C2313yes—
297#14579157C2316yes—
298#14579157C2313yes—
299#14579157C2313yes—
300#14579157C2313yes—
301#14579157C2313yes—
302#14579157C2316yes—
303#14579157C2313yes—
304#14579156C2313yes—
305#14579156C2313yes—
306#14579156C2316yes—
307#14579156C2313yes—
308#14579156C2313yes—
309#14579156C2311yescharacteristic
310#14579156C2313yes—
311#14579155C2316yes—
312#14579155C2311yescharacteristic
313#14579155C2313yes—
314#14579154C2316yes—
315#14579154C2313yes—
316#14579154C2311yescharacteristic
317#14579153C2313yes—
318#14579153C2313yes—
319#14579152C2313yes—
320#14579152C2313yes—
321#14579152C2311yescharacteristic
322#14579151C2313yes—
323#14579151C2311yescharacteristic
324#14579150C2316yes—
325#14579150C2313yes—
326#14579150C2313yes—
327#14579150C2313yes—
328#14579150C2313yes—
329#14579149C2316yes—
330#14579149C2316yes—
331#14579149C2313yes—
332#14579149C2313yes—
333#14579149C2313yes—
334#14579149C2313yes—
335#14579149C2313yes—
336#14579149C2313yes—
337#14579148C2313yes—
338#14579147C2316yes—
339#14579147C2316yes—
340#14579147C2316yes—
341#14579147C2313yes—
342#14579147C2313yes—
343#14579147C2313yes—
344#14579147C2313yes—
345#14579147C2311yescharacteristic
346#14579147C2313yes—
347#14579146C2316yes—
348#14579146C2316yes—
349#14579146C2316yes—
350#14579146C2316yes—
351#14579146C2313yes—
352#14579146C2316yes—
353#14579146C2316yes—
354#14579146C2313yes—
355#14579146C2313yes—
356#14579146C2316yes—
357#14579146C2316yes—
358#14579146C2313yes—
359#14579146C2313yes—
360#14579146C2313yes—
361#14579146C2313yes—
362#14579146C2313yes—
363#14579146C2313yes—
364#14579146C2313yes—
365#14579145C2313yes—
366#14579145C2313yes—
367#14579145C2311yescharacteristic
368#14579145C2313yes—
369#14579144C2316yes—
370#14579144C2316yes—
371#14579144C2313yes—
372#14579144C2313yes—
373#14579143C2316yes—
374#14579143C2313yes—
375#14579143C2313yes—
376#14579143C2316yes—
377#14579143C2313yes—
378#14579143C2313yes—
379#14579143C2313yes—
380#14579143C2311yescharacteristic
381#14579141C2313yes—
382#14579141C2313yes—
383#14579141C2313yes—
384#14579141C2313yes—
385#14579141C2313yes—
386#14579141C2313yes—
387#14579141C2311yescharacteristic
388#14579140C2313yes—
389#14579140C2313yes—
390#14579139C2313yes—
391#14579139C2313yes—
392#14579139C2313yes—
393#14579139C2313yes—
394#14579139C2313yes—
395#14579139C2311yescharacteristic
396#14579138C2313yes—
397#14579138C2313yes—
398#14579138C2311yescharacteristic
399#14579138C2311yescharacteristic
400#14579137C2313yes—
401#14579137C2313yes—
402#14579137C2313yes—
403#14579137C2313yes—
404#14579136C2316yes—
405#14579136C2313yes—
406#14579136C2316yes—
407#14579136C2313yes—
408#14579136C2316yes—
409#14579136C2313yes—
410#14579136C2313yes—
411#14579136C2316yes—
412#14579136C2316yes—
413#14579136C2313yes—
414#14579136C2313yes—
415#14579136C2316yes—
416#14579136C2316yes—
417#14579136C2313yes—
418#14579136C2313yes—
419#14579136C2313yes—
420#14579136C2313yes—
421#14579136C2316yes—
422#14579136C2313yes—
423#14579136C2313yes—
424#14579136C2316yes—
425#14579136C2313yes—
426#14579136C2313yes—
427#14579136C2313yes—
428#14579136C2313yes—
429#14579136C2313yes—
430#14579136C2313yes—
431#14579136C2313yes—
432#14579136C2313yes—
433#14579136C2313yes—
434#14579136C2313yes—
435#14579136C2313yes—
436#14579135C2313yes—
437#14579135C2313yes—
438#14579135C2316yes—
439#14579135C2316yes—
440#14579135C2313yes—
441#14579135C2313yes—
442#14579135C2313yes—
443#14579135C2313yes—
444#14579135C2316yes—
445#14579135C2313yes—
446#14579135C2313yes—
447#14579135C2313yes—
448#14579135C2313yes—
449#14579134C2316yes—
450#14579134C2316yes—
451#14579134C2316yes—
452#14579134C2316yes—
453#14579134C2316yes—
454#14579134C2316yes—
455#14579134C2313yes—
456#14579134C2316yes—
457#14579134C2316yes—
458#14579134C2316yes—
459#14579134C2313yes—
460#14579134C2313yes—
461#14579134C2316yes—
462#14579134C2316yes—
463#14579134C2313yes—
464#14579134C2313yes—
465#14579134C2313yes—
466#14579134C2313yes—
467#14579134C2313yes—
468#14579134C2313yes—
469#14579134C2313yes—
470#14579133C2316yes—
471#14579133C2313yes—
472#14579133C2313yes—
473#14579133C2313yes—
474#14579133C2313yes—
475#14579132C2316yes—
476#14579132C2313yes—
477#14579132C2313yes—
478#14579132C2313yes—
479#14579132C2313yes—
480#14579132C2313yes—
481#14579132C2313yes—
482#14579131C2316yes—
483#14579131C2316yes—
484#14579131C2316yes—
485#14579131C2316yes—
486#14579131C2316yes—
487#14579131C2316yes—
488#14579131C2316yes—
489#14579131C2313yes—
490#14579131C2313yes—
491#14579131C2313yes—
492#14579131C2316yes—
493#14579131C2316yes—
494#14579131C2316yes—
495#14579131C2313yes—
496#14579131C2313yes—
497#14579131C2313yes—
498#14579131C2313yes—
499#14579131C2313yes—
500#14579131C2316yes—
501#14579131C2316yes—
502#14579131C2316yes—
503#14579131C2316yes—
504#14579131C2316yes—
505#14579129C2316yes—
506#14579129C2316yes—
507#14579129C2316yes—
508#14579129C2313yes—
509#14579129C2313yes—
510#14579129C2313yes—
511#14579129C2316yes—
512#14579129C2316yes—
513#14579129C2313yes—
514Q8×Dic79C2311yescharacteristic
515Q8×Dic79C2311yescharacteristic
516C4×Dic158C2313yes—
517C4×Dic158C2313yes—
518#14579126C2313yes—
519C4×D316C2316yes—
520C4×D316C2316yes—
521C4×D316C2316yes—
522C4×D316C2313yes—
523C4×D316C2313yes—
524C4×D316C2313yes—
525C4×D316C2313yes—
526C4×D316C2313yes—
527C4×D316C2313yes—
528C4×D316C2313yes—
529C4×D316C2313yes—
530C4×D316C2313yes—
531C4×D316C2313yes—
532C4×D316C2313yes—
533C4×D316C2313yes—
534C4×D316C2313yes—
535C4×D316C2313yes—
536#14579123C2316yes—
537#14579123C2316yes—
538#14579123C2316yes—
539#14579123C2313yes—
540#14579123C2313yes—
541#14579123C2313yes—
542#14579123C2313yes—
543#14579123C2313yes—
544C4×C22⋊D79C2316yes—
545C4×C22⋊D79C2316yes—
546C4×C22⋊D79C2313yes—
547C4×C22⋊D79C2313yes—
548C4×C22⋊D79C2313yes—
549C4×C22⋊D79C2313yes—
550C4×C22⋊D79C2313yes—
551C4×C22⋊D79C2313yes—
552(C22⋊D79)⋊C4C2316yes—
553#14579119C2313yes—
554#14579119C2316yes—
555#14579119C2313yes—
556#14579119C2313yes—
557#14579118C2313yes—
558#14579118C2313yes—
559#14579118C2316yes—
560#14579118C2313yes—
561#14579118C2313yes—
562#14579118C2316yes—
563C4⋊C4×D79C2313yes—
564C4⋊C4×D79C2313yes—
565C4⋊C4×D79C2313yes—
566C2×(C2×D79)⋊C4C2316yes—
567C22⋊C4×D79C2316yes—
568C22⋊C4×D79C2316yes—
569C22⋊C4×D79C2316yes—
570C22⋊C4×D79C2316yes—
571C22⋊C4×D79C2316yes—
572C42×D79C2313yes—
573C42×D79C2313yes—
574C2×#41×C79C2311yescharacteristic
575C2×#41×C79C2311yescharacteristic
576C22×Q8×C79C2311yescharacteristic
577C4⋊Q8×C79C2313yes—
578#127×C79C2313yes—
579#126×C79C2316yes—
580#126×C79C2311yescharacteristic
581#126×C79C2313yes—
582#125×C79C2313yes—
583#125×C79C2313yes—
584#125×C79C2313yes—
585#124×C79C2316yes—
586#124×C79C2313yes—
587#124×C79C2313yes—
588#124×C79C2313yes—
589#123×C79C2316yes—
590#123×C79C2316yes—
591#123×C79C2313yes—
592#123×C79C2313yes—
593C22⋊Q8×C79C2313yes—
594C22⋊Q8×C79C2313yes—
595C22⋊Q8×C79C2313yes—
596#121×C79C2313yes—
597#121×C79C2313yes—
598#121×C79C2313yes—
599#121×C79C2313yes—
600#121×C79C2313yes—
601#121×C79C2316yes—
602C4×Q8×C79C2313yes—
603C4×Q8×C79C2311yescharacteristic
604C4×Q8×C79C2313yes—
605C4×Q8×C79C2311yescharacteristic
606C4×Q8×C79C2311yescharacteristic
607C4×Q8×C79C2311yescharacteristic
608C4×Q8×C79C2313yes—
609C4×D4×C79C2316yes—
610C4×D4×C79C2313yes—
611C4×D4×C79C2313yes—
612C4×D4×C79C2313yes—
613C4×D4×C79C2313yes—
614C4×D4×C79C2313yes—
615C4×D4×C79C2313yes—
616C4×D4×C79C2313yes—
617#117×C79C2316yes—
618#117×C79C2313yes—
619#117×C79C2313yes—
620#117×C79C2313yes—
621#117×C79C2313yes—
622C2×C4⋊C4×C79C2313yes—
623C2×C42×C79C2313yes—
624C23×D79C2416yes—
625C23×D79C2416yes—
626C23×D79C2416yes—
627C23×D79C2413yes—
628C23×D79C2413yes—
629#11929625—24no—
630#11929625—24no—
631#11929625—24no—
632#11929625—24no—
633#11929625—24no—
634#11929625—46no—
635#11929625—46no—
636#11929625—46no—
637#11929625—86no—
638#11929624—46no—
639#11929624—46no—
640#11929624—46no—
641#11929624—46no—
642#11929624—46no—
643#11929624—46no—
644#11929624—86no—
645#11929623—46no—
646C2×Dic158C2413yes—
647C2×Dic158C2413yes—
648C2×Dic158C2411yescharacteristic
649C2×Dic158C2411yescharacteristic
650C2×Dic158C2411yescharacteristic
651C2×Dic158C2413yes—
652Q8×D79—24no—
653Q8×D79—46no—
654C2×D316—46no—
655C2×D316—46no—
656C2×D316—46no—
657C2×D316—46no—
658C2×D316—86no—
659C2×D316—86no—
660C2×D316—86no—
661C2×D316C2413yes—
662C2×D316C2413yes—
663C2×D316C2413yes—
664C2×D316C2413yes—
665C2×D316C2413yes—
666C2×D316C2413yes—
667C2×D316C2416yes—
668C2×D316C2413yes—
669C2×D316C2413yes—
670C2×D316C2413yes—
671C2×D316C2413yes—
672C2×D316C2416yes—
673C2×D316C2416yes—
674C2×D316C2416yes—
675C2×D316C2416yes—
676C2×D316C2416yes—
677C2×D316C2416yes—
678C2×D316C2413yes—
679C2×D316C2413yes—
680C2×D316C2413yes—
681C2×D316C2413yes—
682C2×D316C2413yes—
683C2×D316C2413yes—
684C2×D316C2413yes—
685C2×D316C2413yes—
686C2×C22⋊D79C2416yes—
687C2×C22⋊D79C2411yescharacteristic
688C2×C22⋊D79C2413yes—
689C2×C22⋊D79C2413yes—
690C2×C22⋊D79C2416yes—
691C2×C22⋊D79C2413yes—
692C2×C22⋊D79C2413yes—
693C2×C22⋊D79C2413yes—
694C2×C22⋊D79C2413yes—
695C2×C22⋊D79C2413yes—
696C2×C22⋊D79C2413yes—
697C2×C22⋊D79C2413yes—
698C2×C22⋊D79C2413yes—
699C2×C22⋊D79C2416yes—
700C2×C22⋊D79C2413yes—
701C2×C22⋊D79C2416yes—
702C2×C22⋊D79C2413yes—
703C2×C22⋊D79C2413yes—
704D4×D79—46no—
705D4×D79—46no—
706D4×D79—46no—
707D4×D79—46no—
708D4×D79—46no—
709D4×D79—46no—
710D4×D79—46no—
711D4×D79—86no—
712D4×D79—86no—
713D4×D79—86no—
714D4×D79—86no—
715D4×D79—86no—
716C22×Dic79C2413yes—
717C22×Dic79C2411yescharacteristic
718C2×C4×D79—46no—
719C2×C4×D79—46no—
720C2×C4×D79C2413yes—
721C2×C4×D79C2413yes—
722C2×C4×D79C2413yes—
723C2×C4×D79C2413yes—
724C2×C4×D79C2413yes—
725C2×C4×D79C2413yes—
726C2×C4×D79C2416yes—
727C2×C4×D79C2413yes—
728C2×C4×D79C2413yes—
729C2×C4×D79C2416yes—
730C2×C4×D79C2413yes—
731C2×C4×D79C2413yes—
732C2×C4×D79C2413yes—
733C2×C4×D79C2416yes—
734C2×C4×D79C2416yes—
735C2×C4×D79C2413yes—
736C2×C4×D79C2413yes—
737C2×C4×D79C2411yescharacteristic
738C4⋊Dic79C2413yes—
739C4⋊Dic79C2413yes—
740C4⋊Dic79C2413yes—
741C4⋊Dic79C2411yescharacteristic
742C4⋊Dic79C2413yes—
743C4⋊Dic79C2411yescharacteristic
744C4⋊Dic79C2411yescharacteristic
745C4⋊Dic79C2411yescharacteristic
746C4⋊Dic79C2411yescharacteristic
747C4⋊Dic79C2413yes—
748C4⋊Dic79C2411yescharacteristic
749C4⋊Dic79C2413yes—
750Dic79⋊C4C2413yes—
751Dic79⋊C4C2413yes—
752Dic79⋊C4C2413yes—
753Dic79⋊C4C2411yescharacteristic
754Dic79⋊C4C2411yescharacteristic
755Dic79⋊C4C2411yescharacteristic
756Dic79⋊C4C2413yes—
757Dic79⋊C4C2413yes—
758Dic79⋊C4C2416yes—
759Dic79⋊C4C2413yes—
760Dic79⋊C4C2413yes—
761Dic79⋊C4C2413yes—
762Dic79⋊C4C2411yescharacteristic
763Dic79⋊C4C2411yescharacteristic
764Dic79⋊C4C2411yescharacteristic
765Dic79⋊C4C2413yes—
766Dic79⋊C4C2411yescharacteristic
767C22⋊Dic79C2413yes—
768C22⋊Dic79C2416yes—
769C22⋊Dic79C2413yes—
770C22⋊Dic79C2413yes—
771C22⋊Dic79C2411yescharacteristic
772C22⋊Dic79C2413yes—
773C22⋊Dic79C2411yescharacteristic
774(C2×D79)⋊C4C2413yes—
775(C2×D79)⋊C4C2413yes—
776(C2×D79)⋊C4C2413yes—
777(C2×D79)⋊C4C2416yes—
778(C2×D79)⋊C4C2413yes—
779(C2×D79)⋊C4C2413yes—
780(C2×D79)⋊C4C2416yes—
781(C2×D79)⋊C4C2416yes—
782(C2×D79)⋊C4C2416yes—
783(C2×D79)⋊C4C2413yes—
784(C2×D79)⋊C4C2413yes—
785(C2×D79)⋊C4C2416yes—
786(C2×D79)⋊C4C2411yescharacteristic
787(C2×D79)⋊C4C2413yes—
788(C2×D79)⋊C4C2413yes—
789(C2×D79)⋊C4C2413yes—
790(C2×D79)⋊C4C2413yes—
791(C2×D79)⋊C4C2413yes—
792(C2×D79)⋊C4C2413yes—
793(C2×D79)⋊C4C2413yes—
794(C2×D79)⋊C4C2413yes—
795(C2×D79)⋊C4C2413yes—
796(C2×D79)⋊C4C2413yes—
797(C2×D79)⋊C4C2416yes—
798(C2×D79)⋊C4C2416yes—
799(C2×D79)⋊C4C2413yes—
800(C2×D79)⋊C4C2411yescharacteristic
801(C2×D79)⋊C4C2413yes—
802(C2×D79)⋊C4C2413yes—
803(C2×D79)⋊C4C2413yes—
804(C2×D79)⋊C4C2413yes—
805(C2×D79)⋊C4C2413yes—
806(C2×D79)⋊C4C2413yes—
807(C2×D79)⋊C4C2413yes—
808(C2×D79)⋊C4C2411yescharacteristic
809(C2×D79)⋊C4C2413yes—
810(C2×D79)⋊C4C2411yescharacteristic
811(C2×D79)⋊C4C2411yescharacteristic
812(C2×D79)⋊C4C2413yes—
813C4×Dic79C2411yescharacteristic
814C4×Dic79C2411yescharacteristic
815C4×Dic79C2413yes—
816C4×Dic79C2413yes—
817C4×Dic79C2413yes—
818C4×Dic79C2413yes—
819C4×Dic79C2416yes—
820#41×C79—24no—
821#41×C79—24no—
822C2×Q8×C79—24no—
823C2×Q8×C79C2413yes—
824C2×Q8×C79C2413yes—
825C2×Q8×C79C2411yescharacteristic
826C2×D4×C79C2413yes—
827C2×D4×C79C2413yes—
828C2×D4×C79C2413yes—
829C2×D4×C79C2413yes—
830C2×D4×C79C2416yes—
831C2×D4×C79C2413yes—
832C22×C4×C79C2413yes—
833C22×C4×C79C2413yes—
834C22×C4×C79C2413yes—
835C22×C4×C79C2416yes—
836C22×C4×C79C2413yes—
837C22×C4×C79C2413yes—
838C4⋊C4×C79C2413yes—
839C4⋊C4×C79C2413yes—
840C4⋊C4×C79C2413yes—
841C4⋊C4×C79C2411yescharacteristic
842C4⋊C4×C79C2413yes—
843C4⋊C4×C79C2413yes—
844C4⋊C4×C79C2413yes—
845C4⋊C4×C79C2413yes—
846C4⋊C4×C79C2413yes—
847C4⋊C4×C79C2416yes—
848C4⋊C4×C79C2411yescharacteristic
849C4⋊C4×C79C2413yes—
850C4⋊C4×C79C2413yes—
851C4⋊C4×C79C2411yescharacteristic
852C4⋊C4×C79C2413yes—
853C22⋊C4×C79C2411yescharacteristic
854C22⋊C4×C79C2413yes—
855C22⋊C4×C79C2413yes—
856C22⋊C4×C79C2413yes—
857C22⋊C4×C79C2416yes—
858C22⋊C4×C79C2413yes—
859C22⋊C4×C79C2416yes—
860C22⋊C4×C79C2411yescharacteristic
861C22⋊C4×C79C2413yes—
862C22⋊C4×C79C2411yescharacteristic
863C22⋊C4×C79C2413yes—
864C22⋊C4×C79C2416yes—
865C22⋊C4×C79C2413yes—
866C42×C79C2411yescharacteristic
867C42×C79C2413yes—
868C42×C79C2413yes—
869C42×C79C2413yes—
870C42×C79C2416yes—
871C42×C79C2413yes—
872C42×C79C2413yes—
873C23×C79C2513yes—
874C23×C79C2511yescharacteristic
875C23×C79C2513yes—
876C22×D79—43no—
877C22×D79—43no—
878C22×D79—43no—
879C22×D79—43no—
880C22×D79—43no—
881C22×D79—43no—
882C22×D79—46no—
883C22×D79—46no—
884C22×D79—46no—
885C22×D79—46no—
886C22×D79—46no—
887C22×D79—46no—
888C22×D79—46no—
889C22×D79—46no—
890C22×D79—46no—
891C22×D79C2513yes—
892C22×D79C2513yes—
893C22×D79C2511yescharacteristic
894C22×D79C2513yes—
895C22×D79C2513yes—
896C22×D79C2513yes—
897Q8×C79—26no—
898Q8×C79—43no—
899Q8×C79H(5,𝔽2)14yes—
900D4×C79—26no—
901D4×C79—26no—
902D4×C79—43no—
903D4×C79—43no—
904D4×C79—43no—
905D4×C79—46no—
906C2×C4×C79—26no—
907C2×C4×C79—26no—
908C2×C4×C79—26no—
909C2×C4×C79—43no—
910C2×C4×C79—43no—
911C2×C4×C79—46no—
912C2×C4×C79C2513yes—
913C2×C4×C79C2511yescharacteristic
914C2×C4×C79C2513yes—
915C2×C4×C79C2511yescharacteristic
916C2×C4×C79C2513yes—
917C2×C4×C79C2513yes—
918C2×C4×C79C2513yes—
919C2×C4×C79C2511yescharacteristic
920C2×C4×C79C2511yescharacteristic
921C2×C4×C79C2511yescharacteristic
922C2×C4×C79C2511yescharacteristic
923C2×C4×C79C2513yes—
924C22⋊D79—43no—
925C22⋊D79—43no—
926C22⋊D79—43no—
927C22⋊D79—43no—
928C22⋊D79—43no—
929C22⋊D79—43no—
930C22⋊D79—46no—
931C22⋊D79—43no—
932C22⋊D79—43no—
933C22⋊D79—46no—
934C22⋊D79—43no—
935C22⋊D79—43no—
936C22⋊D79—46no—
937C22⋊D79—43no—
938C22⋊D79—46no—
939C22⋊D79—41no—
940C22⋊D79—43no—
941C22⋊D79—43no—
942C2×Dic79—41no—
943C2×Dic79—43no—
944C2×Dic79C2511yescharacteristic
945C2×Dic79C2511yescharacteristic
946C2×Dic79C2513yes—
947C2×Dic79C2511yescharacteristic
948C2×Dic79C2511yescharacteristic
949C2×Dic79C2513yes—
950C2×Dic79C2513yes—
951C2×Dic79C2511yescharacteristic
952C2×Dic79C2511yescharacteristic
953C2×Dic79C2511yescharacteristic
954D316—26no—
955D316—26no—
956D316—26no—
957D316—26no—
958D316—26no—
959D316—43no—
960D316—43no—
961D316—46no—
962D316—46no—
963D316—46no—
964D316—43no—
965D316—43no—
966D316—43no—
967D316—46no—
968D316—43no—
969D316—46no—
970D316—43no—
971D316—43no—
972D316—43no—
973D316—43no—
974D316—43no—
975D316—46no—
976D316—46no—
977D316—43no—
978D316—43no—
979C4×D79—26no—
980C4×D79—26no—
981C4×D79—26no—
982C4×D79—26no—
983C4×D79—26no—
984C4×D79—26no—
985C4×D79—41no—
986C4×D79—43no—
987C4×D79—43no—
988C4×D79—43no—
989C4×D79—43no—
990C4×D79—43no—
991C4×D79—46no—
992C4×D79—46no—
993C4×D79—46no—
994C4×D79—46no—
995C4×D79—43no—
996C4×D79—43no—
997Dic158—26no—
998Dic158—43no—
999Dic158—41no—
1000Dic158—41no—
1001Dic158—41no—
1002Dic158—43no—
1003C22×C79—21no—
1004C22×C79—23no—
1005C22×C79—23no—
1006C22×C79—23no—
1007C22×C79—21no—
1008C22×C79—21no—
1009C22×C79—23no—
1010C22×C79—23no—
1011C22×C79—23no—
1012C22×C79C2611yescharacteristic
1013C2×D79—23no—
1014C2×D79—23no—
1015C2×D79—23no—
1016C2×D79—21no—
1017C2×D79—23no—
1018C2×D79—23no—
1019C2×D79—21no—
1020C2×D79—23no—
1021C2×D79—23no—
1022C2×D79—23no—
1023C2×D79—23no—
1024C2×D79—23no—
1025C2×D79—23no—
1026C2×D79—23no—
1027C2×D79—23no—
1028C2×D79—23no—
1029C2×D79—23no—
1030C2×D79—21no—
1031C2×D79—86no—
1032C2×D79—86no—
1033C2×D79—166no—
1034C2×D79—166no—
1035C2×D79—166no—
1036C4×C79—21no—
1037C4×C79—21no—
1038C4×C79—23no—
1039C4×C79—23no—
1040C4×C79—21no—
1041C4×C79—21no—
1042C4×C79—23no—
1043C4×C79—23no—
1044C4×C79—21no—
1045C4×C79—23no—
1046C4×C79—21no—
1047C4×C79C2×H(5,𝔽2)16yes—
1048Dic79—21no—
1049Dic79—21no—
1050Dic79—23no—
1051Dic79—21no—
1052Dic79—21no—
1053Dic79—21no—
1054Dic79—21no—
1055Dic79—23no—
1056Dic79—23no—
1057Dic79—21no—
1058#63066—791nomaximal, Sylow
1059C2×C79—41no—
1060C2×C79—43no—
1061C2×C79—43no—
1062C2×C79C22×H(5,𝔽2)11yescharacteristic
1063C2×C79H(7,𝔽2)11yescharacteristic
1064C2×C79H(7,𝔽2)11yescharacteristic
1065D79—41no—
1066D79—43no—
1067D79—43no—
1068D79—43no—
1069D79—43no—
1070D79—43no—
1071#3558—793no—
1072#3558—793no—
1073#3551—793no—
1074#3551—793no—
1075#3549—793no—
1076#3543—793no—
1077#3543—793no—
1078#3543—793no—
1079#3543—793no—
1080#3542—793no—
1081#3542—793no—
1082#3542—793no—
1083#3542—793no—
1084#3537—793no—
1085#3537—793no—
1086#3529—793no—
1087#3524—791no—
1088#3524—791no—
1089#3524—791no—
1090#3524D7911yescharacteristic, complemented
1091#3517—791no—
1092#3517—791no—
1093#3500—791no—
1094#3498—791no—
1095#3498—791no—
1096#3488—791no—
1097#3488—791no—
1098#3488—791no—
1099#3488—791no—
1100#3487—791no—
1101#3487—791no—
1102C79#6306611yescharacteristic, complemented, Sylow
1103C2×2−1+4—791no—
1104C2×H(5,𝔽2)—791no—
1105C2×H(5,𝔽2)—791no—
1106C2×H(5,𝔽2)—791no—
1107C22×#41—791no—
1108C22×#41—791no—
1109#563—791no—
1110#563—793no—
1111#563—793no—
1112#562—793no—
1113#562—793no—
1114#562—793no—
1115#562—793no—
1116#562—793no—
1117#562—793no—
1118H(3,𝔽4)—793no—
1119H(3,𝔽4)—796no—
1120#560—793no—
1121#560—793no—
1122#560—796no—
1123#560—796no—
1124#560—793no—
1125#560—793no—
1126#560—796no—
1127#560—793no—
1128#560—793no—
1129#560—796no—
1130#559—793no—
1131#559—793no—
1132#559—793no—
1133#559C2×D7913yescomplemented
1134#557—791no—
1135#557C2×D7911yescharacteristic, complemented
1136#555—793no—
1137#555—793no—
1138#555—793no—
1139#555—796no—
1140#555C2×D7913yescomplemented
1141#553—793no—
1142#553—793no—
1143#553—793no—
1144#553—793no—
1145#553—793no—
1146#553—793no—
1147#553—793no—
1148#553C2×D7913yescomplemented
1149#552—793no—
1150#552—793no—
1151#552—793no—
1152#552C2×D7913yescomplemented
1153#551—796no—
1154#551—796no—
1155#550—791no—
1156#550—791no—
1157#550—791no—
1158#550—793no—
1159#550—791no—
1160#550—791no—
1161#550—791no—
1162#550—793no—
1163#550—793no—
1164#550—791no—
1165#550—791no—
1166#550—791no—
1167#550—793no—
1168#550—793no—
1169#550—793no—
1170#550C2×D7911yescharacteristic, complemented
1171#548—791no—
1172#548—791no—
1173#548—791no—
1174#548—793no—
1175#548—793no—
1176#548—791no—
1177#548—791no—
1178#548—793no—
1179#548—793no—
1180#548—791no—
1181#548C2×D7911yescharacteristic, complemented
1182#548C2×D7911yescharacteristic, complemented
1183#547—793no—
1184#547—793no—
1185#546—793no—
1186#546—793no—
1187#546—793no—
1188#546—796no—
1189#546—796no—
1190#546—793no—
1191#546—793no—
1192#546—793no—
1193#546—796no—
1194#546—793no—
1195#546—793no—
1196#546—793no—
1197#546—793no—
1198#546—793no—
1199#546—793no—
1200#546—796no—
1201D42—793no—
1202D42—793no—
1203D42—793no—
1204D42—793no—
1205D42—793no—
1206D42—793no—
1207D42—793no—
1208D42—796no—
1209D42—796no—
1210D42—793no—
1211D42—793no—
1212D42—793no—
1213D42—793no—
1214D42—793no—
1215D42—793no—
1216D42—793no—
1217D42—793no—
1218D42—793no—
1219D42—796no—
1220#542—793no—
1221#542—793no—
1222#542—793no—
1223#542C2×D7913yescomplemented
1224#540—793no—
1225#540—793no—
1226#540—793no—
1227#540—796no—
1228#540—796no—
1229#540—793no—
1230#540—793no—
1231#540—796no—
1232#540—793no—
1233#540—793no—
1234#540—796no—
1235#540C2×D7913yescomplemented
1236#538—796no—
1237#538—796no—
1238#538—796no—
1239#538—796no—
1240#538—796no—
1241#538—796no—
1242#537—793no—
1243#537—793no—
1244#537—793no—
1245#537—793no—
1246#536—793no—
1247#535—793no—
1248#535—793no—
1249#535—793no—
1250#535—793no—
1251#535—796no—
1252#535—796no—
1253#535—793no—
1254#535—793no—
1255#535—793no—
1256#535—793no—
1257#535—796no—
1258#535—793no—
1259#535—793no—
1260#535—793no—
1261#535—793no—
1262#535—793no—
1263#535—796no—
1264#534—796no—
1265#534—796no—
1266#534—796no—
1267#534—796no—
1268#534—796no—
1269#534—796no—
1270#532—793no—
1271#532—793no—
1272#532—793no—
1273#532—793no—
1274#532—793no—
1275C2×#127—793no—
1276C2×#127—793no—
1277#529—793no—
1278#529—793no—
1279#529—793no—
1280#529—793no—
1281#529—793no—
1282#529—793no—
1283#529—793no—
1284#529—793no—
1285#529C2×D7913yescomplemented
1286#529C2×D7913yescomplemented
1287C2×#124—793no—
1288#525—793no—
1289#525—793no—
1290#525—793no—
1291#525—793no—
1292#525—793no—
1293#525—793no—
1294#525—793no—
1295#525—793no—
1296C2×#121—793no—
1297C2×#121—793no—
1298C2×#121—793no—
1299C2×#121—793no—
1300#520—791no—
1301#520—791no—
1302#520—791no—
1303#520C2×D7911yescharacteristic, complemented
1304#519—791no—
1305#519C2×D7911yescharacteristic, complemented
1306C4×#41—791no—
1307C4×#41—791no—
1308C4×#41C2×D7911yescharacteristic, complemented
13092−1+4—3164no—
1310H(5,𝔽2)—3164no—
1311H(5,𝔽2)—3164no—
1312H(5,𝔽2)—3164no—
1313C2×#41—3164no—
1314C2×#41—3164no—
1315C2×#41—793no—
1316C2×#41—793no—
1317C2×#41—793no—
1318C2×#41—796no—
1319C2×#41—791no—
1320C2×#41—791no—
1321C2×#41—791no—
1322C2×#41—791no—
1323C2×#41—791no—
1324C2×#41—793no—
1325C2×#41—793no—
1326C2×#41—793no—
1327C2×#41—793no—
1328C2×#41—793no—
1329C2×#41—793no—
1330C2×#41—793no—
1331C2×#41—796no—
1332C2×#41C22×D7911yescharacteristic
1333C2×#41C22×D7911yescharacteristic
1334C22×Q8—793no—
1335C22×Q8—791no—
1336C22×Q8C22×D7911yescharacteristic
1337C22×D4—793no—
1338C22×D4—793no—
1339C22×D4—793no—
1340C22×D4—793no—
1341C22×D4—793no—
1342C22×D4—793no—
1343C22×D4—793no—
1344C22×D4—796no—
1345C22×D4—796no—
1346C22×D4—796no—
1347C22×D4—796no—
1348C22×D4—796no—
1349C22×D4—793no—
1350C22×D4—793no—
1351C22×D4—793no—
1352C22×D4—793no—
1353C22×D4—796no—
1354C22×D4—796no—
1355C22×D4—796no—
1356C23×C4—793no—
1357C23×C4—793no—
1358C4⋊Q8—791no—
1359C4⋊Q8—793no—
1360C4⋊Q8—793no—
1361C4⋊Q8—791no—
1362C4⋊Q8C22×D7913yes—
1363#127—793no—
1364#127—796no—
1365#127—793no—
1366#127—793no—
1367#127—793no—
1368#127—793no—
1369#127—796no—
1370#127—793no—
1371#127—796no—
1372#127—793no—
1373#127—793no—
1374#127—793no—
1375#127—793no—
1376#127—793no—
1377#127—793no—
1378#127—796no—
1379#127C22×D7913yes—
1380#126—791no—
1381#126—793no—
1382#126—793no—
1383#126—793no—
1384#126—793no—
1385#126—793no—
1386#126—796no—
1387#126—791no—
1388#126—793no—
1389#126—796no—
1390#126—791no—
1391#126—793no—
1392#126—796no—
1393#126C22×D7911yescharacteristic
1394#126C22×D7913yes—
1395#126C22×D7916yes—
1396#125—791no—
1397#125—791no—
1398#125—793no—
1399#125—793no—
1400#125—793no—
1401#125—793no—
1402#125—793no—
1403#125C22×D7913yes—
1404#125C22×D7913yes—
1405#125C22×D7913yes—
1406#124—793no—
1407#124—793no—
1408#124—793no—
1409#124—793no—
1410#124—796no—
1411#124—793no—
1412#124—793no—
1413#124—796no—
1414#124—793no—
1415#124—793no—
1416#124—791no—
1417#124—793no—
1418#124—793no—
1419#124—796no—
1420#124—796no—
1421#124—793no—
1422#124—793no—
1423#124—793no—
1424#124—793no—
1425#124—793no—
1426#124—793no—
1427#124—796no—
1428#124—796no—
1429#124C22×D7913yes—
1430#124C22×D7913yes—
1431#124C22×D7913yes—
1432#124C22×D7916yes—
1433#123—796no—
1434#123—793no—
1435#123—793no—
1436#123—796no—
1437#123—793no—
1438#123—793no—
1439#123—793no—
1440#123—793no—
1441#123—796no—
1442#123—796no—
1443#123—793no—
1444#123—793no—
1445#123—793no—
1446#123—793no—
1447#123—793no—
1448#123—793no—
1449#123—796no—
1450#123—796no—
1451#123—796no—
1452#123—796no—
1453#123—796no—
1454#123—796no—
1455#123—791no—
1456#123—791no—
1457#123—793no—
1458#123—793no—
1459#123—793no—
1460#123—793no—
1461#123—793no—
1462#123—793no—
1463#123—793no—
1464#123—793no—
1465#123—796no—
1466#123—796no—
1467#123C22×D7916yes—
1468#123C22×D7913yes—
1469#123C22×D7913yes—
1470#123C22×D7916yes—
1471C22⋊Q8—793no—
1472C22⋊Q8—793no—
1473C22⋊Q8—793no—
1474C22⋊Q8—793no—
1475C22⋊Q8—793no—
1476C22⋊Q8—793no—
1477C22⋊Q8—791no—
1478C22⋊Q8—791no—
1479C22⋊Q8—793no—
1480C22⋊Q8—793no—
1481C22⋊Q8—793no—
1482C22⋊Q8—793no—
1483C22⋊Q8—793no—
1484C22⋊Q8—793no—
1485C22⋊Q8—793no—
1486C22⋊Q8—793no—
1487C22⋊Q8—793no—
1488C22⋊Q8—793no—
1489C22⋊Q8—793no—
1490C22⋊Q8—791no—
1491C22⋊Q8—791no—
1492C22⋊Q8—793no—
1493C22⋊Q8—793no—
1494C22⋊Q8C22×D7913yes—
1495C22⋊Q8C22×D7913yes—
1496C22⋊Q8C22×D7913yes—
1497#121—793no—
1498#121—793no—
1499#121—796no—
1500#121—793no—
1501#121—793no—
1502#121—793no—
1503#121—793no—
1504#121—793no—
1505#121—793no—
1506#121—793no—
1507#121—793no—
1508#121—796no—
1509#121—793no—
1510#121—793no—
1511#121—793no—
1512#121—793no—
1513#121—793no—
1514#121—793no—
1515#121—793no—
1516#121—793no—
1517#121—793no—
1518#121—793no—
1519#121—796no—
1520#121—796no—
1521#121—796no—
1522#121—793no—
1523#121—796no—
1524#121—793no—
1525#121—793no—
1526#121—793no—
1527#121—793no—
1528#121—793no—
1529#121—793no—
1530#121—793no—
1531#121—793no—
1532#121—793no—
1533#121—793no—
1534#121—793no—
1535#121—793no—
1536#121—793no—
1537#121—793no—
1538#121—793no—
1539#121—793no—
1540#121—793no—
1541#121—796no—
1542#121—793no—
1543#121—793no—
1544#121—793no—
1545#121—793no—
1546#121—793no—
1547#121—796no—
1548#121—796no—
1549#121—796no—
1550#121—796no—
1551#121—796no—
1552#121—796no—
1553#121—796no—
1554#121—793no—
1555#121—796no—
1556#121—796no—
1557#121—793no—
1558#121—793no—
1559#121—793no—
1560#121—793no—
1561#121—793no—
1562#121—796no—
1563#121—793no—
1564#121—793no—
1565#121—793no—
1566#121—793no—
1567#121—796no—
1568#121—796no—
1569#121—796no—
1570#121—796no—
1571#121—796no—
1572#121—796no—
1573#121—796no—
1574#121—796no—
1575#121C22×D7913yes—
1576#121C22×D7913yes—
1577#121C22×D7913yes—
1578#121C22×D7913yes—
1579#121C22×D7913yes—
1580#121C22×D7916yes—
1581#120—793no—
1582#120—793no—
1583#120—793no—
1584#120—793no—
1585#120—796no—
1586#120—796no—
1587#120—796no—
1588#120—796no—
1589#120—796no—
1590#120—796no—
1591#120—796no—
1592#120—793no—
1593#120—793no—
1594#120—793no—
1595#120—793no—
1596#120—793no—
1597#120—793no—
1598#120—793no—
1599#120—793no—
1600#120—796no—
1601#120—796no—
1602#120—796no—
1603#120—796no—
1604#120—796no—
1605#120—796no—
1606#120—796no—
1607#120—796no—
1608#120—796no—
1609#120—796no—
1610#120—796no—
1611#120—796no—
1612#120—796no—
1613C4×Q8—791no—
1614C4×Q8—791no—
1615C4×Q8—793no—
1616C4×Q8—793no—
1617C4×Q8—793no—
1618C4×Q8C22×D7911yescharacteristic
1619C4×Q8C22×D7911yescharacteristic
1620C4×Q8C22×D7911yescharacteristic
1621C4×Q8C22×D7911yescharacteristic
1622C4×Q8C22×D7913yes—
1623C4×Q8C22×D7913yes—
1624C4×Q8C22×D7913yes—
1625C4×D4—793no—
1626C4×D4—793no—
1627C4×D4—793no—
1628C4×D4—793no—
1629C4×D4—793no—
1630C4×D4—793no—
1631C4×D4—796no—
1632C4×D4—796no—
1633C4×D4—793no—
1634C4×D4—793no—
1635C4×D4—793no—
1636C4×D4—793no—
1637C4×D4—793no—
1638C4×D4—796no—
1639C4×D4—796no—
1640C4×D4—796no—
1641C4×D4—796no—
1642C4×D4—793no—
1643C4×D4—793no—
1644C4×D4—793no—
1645C4×D4—793no—
1646C4×D4—793no—
1647C4×D4—793no—
1648C4×D4—793no—
1649C4×D4—793no—
1650C4×D4—793no—
1651C4×D4—793no—
1652C4×D4—793no—
1653C4×D4—793no—
1654C4×D4—793no—
1655C4×D4—793no—
1656C4×D4—796no—
1657C4×D4—796no—
1658C4×D4—796no—
1659C4×D4C22×D7913yes—
1660C4×D4C22×D7913yes—
1661C4×D4C22×D7913yes—
1662C4×D4C22×D7913yes—
1663C4×D4C22×D7913yes—
1664C4×D4C22×D7913yes—
1665C4×D4C22×D7913yes—
1666C4×D4C22×D7916yes—
1667#117—793no—
1668#117—793no—
1669#117—793no—
1670#117—796no—
1671#117—793no—
1672#117—793no—
1673#117—793no—
1674#117—793no—
1675#117—796no—
1676#117—796no—
1677#117C22×D7913yes—
1678#117C22×D7913yes—
1679#117C22×D7913yes—
1680#117C22×D7913yes—
1681#117C22×D7916yes—
1682C2×C4⋊C4—793no—
1683C2×C4⋊C4—793no—
1684C2×C4⋊C4—793no—
1685C2×C4⋊C4C22×D7913yes—
1686C2×C22⋊C4—796no—
1687C2×C22⋊C4—796no—
1688C2×C22⋊C4—796no—
1689C2×C22⋊C4—796no—
1690C2×C22⋊C4—796no—
1691C2×C22⋊C4—796no—
1692C2×C42—793no—
1693C2×C42—793no—
1694C2×C42C22×D7913yes—
1695C24—796no—
1696C24—796no—
1697C24—796no—
1698C24—793no—
1699C24—793no—
1700#41—24no—
1701#41—24no—
1702#41—3166no—
1703#41—3166no—
1704#41—3166no—
1705#41—3166no—
1706#41—3166no—
1707#41—3166no—
1708#41—3166no—
1709#41—3166no—
1710#41—3166no—
1711#41—3166no—
1712#41—6326no—
1713#41—6326no—
1714#41—1584no—
1715#41—1584no—
1716#41—1584no—
1717#41—1584no—
1718#41—1584no—
1719C2×Q8—24no—
1720C2×Q8—3166no—
1721C2×Q8—793no—
1722C2×Q8—791no—
1723C2×Q8—791no—
1724C2×Q8—793no—
1725C2×Q8—791no—
1726C2×Q8—793no—
1727C2×Q8—1584no—
1728C2×Q8C23×D7913yes—
1729C2×Q8C23×D7913yes—
1730C2×Q8C23×D7911yescharacteristic
1731C2×D4—3166no—
1732C2×D4—3166no—
1733C2×D4—3166no—
1734C2×D4—3166no—
1735C2×D4—3166no—
1736C2×D4—3166no—
1737C2×D4—3166no—
1738C2×D4—3166no—
1739C2×D4—3166no—
1740C2×D4—3166no—
1741C2×D4—3166no—
1742C2×D4—793no—
1743C2×D4—793no—
1744C2×D4—793no—
1745C2×D4—796no—
1746C2×D4—796no—
1747C2×D4—793no—
1748C2×D4—796no—
1749C2×D4—793no—
1750C2×D4—793no—
1751C2×D4—791no—
1752C2×D4—793no—
1753C2×D4—796no—
1754C2×D4—793no—
1755C2×D4—793no—
1756C2×D4—793no—
1757C2×D4—793no—
1758C2×D4—793no—
1759C2×D4—793no—
1760C2×D4—793no—
1761C2×D4—793no—
1762C2×D4—796no—
1763C2×D4—796no—
1764C2×D4—796no—
1765C2×D4—796no—
1766C2×D4—796no—
1767C2×D4—793no—
1768C2×D4—793no—
1769C2×D4—796no—
1770C2×D4—793no—
1771C2×D4—793no—
1772C2×D4—793no—
1773C2×D4—793no—
1774C2×D4—793no—
1775C2×D4—793no—
1776C2×D4—796no—
1777C2×D4—793no—
1778C2×D4—793no—
1779C2×D4—793no—
1780C2×D4—793no—
1781C2×D4—793no—
1782C2×D4—793no—
1783C2×D4—793no—
1784C2×D4—793no—
1785C2×D4—6326no—
1786C2×D4—6326no—
1787C2×D4—6326no—
1788C2×D4—6326no—
1789C2×D4—6326no—
1790C2×D4—6326no—
1791C2×D4—6326no—
1792C2×D4—6326no—
1793C2×D4C23×D7913yes—
1794C2×D4C23×D7913yes—
1795C2×D4C23×D7913yes—
1796C2×D4C23×D7916yes—
1797C2×D4C23×D7913yes—
1798C2×D4C23×D7913yes—
1799C22×C4—3166no—
1800C22×C4—3166no—
1801C22×C4—793no—
1802C22×C4—791no—
1803C22×C4—793no—
1804C22×C4—793no—
1805C22×C4—793no—
1806C22×C4—793no—
1807C22×C4—796no—
1808C22×C4—793no—
1809C22×C4—793no—
1810C22×C4—793no—
1811C22×C4—796no—
1812C22×C4—796no—
1813C22×C4—796no—
1814C22×C4—791no—
1815C22×C4—793no—
1816C22×C4—793no—
1817C22×C4—793no—
1818C22×C4—793no—
1819C22×C4—793no—
1820C22×C4—793no—
1821C22×C4C23×D7913yes—
1822C22×C4C23×D7913yes—
1823C22×C4C23×D7913yes—
1824C22×C4C23×D7913yes—
1825C22×C4C23×D7913yes—
1826C22×C4C23×D7916yes—
1827C4⋊C4—793no—
1828C4⋊C4—793no—
1829C4⋊C4—793no—
1830C4⋊C4—791no—
1831C4⋊C4—791no—
1832C4⋊C4—791no—
1833C4⋊C4—793no—
1834C4⋊C4—793no—
1835C4⋊C4—796no—
1836C4⋊C4—793no—
1837C4⋊C4—793no—
1838C4⋊C4—791no—
1839C4⋊C4—791no—
1840C4⋊C4—793no—
1841C4⋊C4—791no—
1842C4⋊C4—793no—
1843C4⋊C4—791no—
1844C4⋊C4—793no—
1845C4⋊C4—793no—
1846C4⋊C4—793no—
1847C4⋊C4—791no—
1848C4⋊C4—791no—
1849C4⋊C4—791no—
1850C4⋊C4—791no—
1851C4⋊C4—791no—
1852C4⋊C4—793no—
1853C4⋊C4—793no—
1854C4⋊C4—791no—
1855C4⋊C4—793no—
1856C4⋊C4C23×D7913yes—
1857C4⋊C4C23×D7913yes—
1858C4⋊C4C23×D7913yes—
1859C4⋊C4C23×D7913yes—
1860C4⋊C4C23×D7913yes—
1861C4⋊C4C23×D7916yes—
1862C4⋊C4C23×D7911yescharacteristic
1863C4⋊C4C23×D7913yes—
1864C4⋊C4C23×D7913yes—
1865C4⋊C4C23×D7913yes—
1866C4⋊C4C23×D7913yes—
1867C4⋊C4C23×D7913yes—
1868C4⋊C4C23×D7911yescharacteristic
1869C4⋊C4C23×D7913yes—
1870C4⋊C4C23×D7911yescharacteristic
1871C22⋊C4—793no—
1872C22⋊C4—796no—
1873C22⋊C4—793no—
1874C22⋊C4—793no—
1875C22⋊C4—791no—
1876C22⋊C4—791no—
1877C22⋊C4—793no—
1878C22⋊C4—793no—
1879C22⋊C4—793no—
1880C22⋊C4—796no—
1881C22⋊C4—796no—
1882C22⋊C4—793no—
1883C22⋊C4—793no—
1884C22⋊C4—793no—
1885C22⋊C4—793no—
1886C22⋊C4—793no—
1887C22⋊C4—796no—
1888C22⋊C4—796no—
1889C22⋊C4—796no—
1890C22⋊C4—791no—
1891C22⋊C4—793no—
1892C22⋊C4—793no—
1893C22⋊C4—793no—
1894C22⋊C4—793no—
1895C22⋊C4—796no—
1896C22⋊C4—793no—
1897C22⋊C4—793no—
1898C22⋊C4—793no—
1899C22⋊C4—793no—
1900C22⋊C4—793no—
1901C22⋊C4—793no—
1902C22⋊C4—796no—
1903C22⋊C4—791no—
1904C22⋊C4—791no—
1905C22⋊C4—793no—
1906C22⋊C4—793no—
1907C22⋊C4—793no—
1908C22⋊C4—791no—
1909C22⋊C4—793no—
1910C22⋊C4—793no—
1911C22⋊C4—793no—
1912C22⋊C4—791no—
1913C22⋊C4—793no—
1914C22⋊C4—793no—
1915C22⋊C4—793no—
1916C22⋊C4—793no—
1917C22⋊C4C23×D7913yes—
1918C22⋊C4C23×D7916yes—
1919C22⋊C4C23×D7913yes—
1920C22⋊C4C23×D7916yes—
1921C22⋊C4C23×D7911yescharacteristic
1922C22⋊C4C23×D7913yes—
1923C22⋊C4C23×D7913yes—
1924C22⋊C4C23×D7916yes—
1925C22⋊C4C23×D7913yes—
1926C22⋊C4C23×D7913yes—
1927C22⋊C4C23×D7911yescharacteristic
1928C22⋊C4C23×D7913yes—
1929C22⋊C4C23×D7911yescharacteristic
1930C42—791no—
1931C42—791no—
1932C42—793no—
1933C42—793no—
1934C42—793no—
1935C42—793no—
1936C42—796no—
1937C42C23×D7913yes—
1938C42C23×D7913yes—
1939C42C23×D7911yescharacteristic
1940C42C23×D7913yes—
1941C42C23×D7913yes—
1942C42C23×D7913yes—
1943C42C23×D7916yes—
1944C23—3163no—
1945C23—3163no—
1946C23—3163no—
1947C23—3163no—
1948C23—3163no—
1949C23—3163no—
1950C23—3166no—
1951C23—3166no—
1952C23—3166no—
1953C23—3166no—
1954C23—3166no—
1955C23—3166no—
1956C23—3166no—
1957C23—3166no—
1958C23—3166no—
1959C23—793no—
1960C23—791no—
1961C23—793no—
1962C23—793no—
1963C23—793no—
1964C23—793no—
1965C23C24×D7913yes—
1966C23C24×D7911yescharacteristic
1967C23C24×D7913yes—
1968Q8—26no—
1969Q8—43no—
1970Q8—3163no—
1971Q8—3161no—
1972Q8—3161no—
1973Q8—3161no—
1974Q8—3163no—
1975Q8—1586no—
1976Q8#1457920714yes—
1977D4—26no—
1978D4—26no—
1979D4—43no—
1980D4—43no—
1981D4—43no—
1982D4—46no—
1983D4—3163no—
1984D4—3163no—
1985D4—3163no—
1986D4—3166no—
1987D4—3163no—
1988D4—3163no—
1989D4—3163no—
1990D4—3163no—
1991D4—3166no—
1992D4—3163no—
1993D4—3163no—
1994D4—3166no—
1995D4—3166no—
1996D4—3163no—
1997D4—3163no—
1998D4—3166no—
1999D4—3166no—
2000D4—3166no—
2001D4—3163no—
2002D4—3163no—
2003D4—3163no—
2004D4—3163no—
2005D4—3163no—
2006D4—3163no—
2007D4—3163no—
2008D4—3163no—
2009D4—3166no—
2010D4—3163no—
2011D4—3163no—
2012D4—3166no—
2013D4—3163no—
2014D4—3163no—
2015D4—3166no—
2016D4—3163no—
2017D4—3166no—
2018D4—3163no—
2019D4—3161no—
2020D4—3163no—
2021D4—1586no—
2022D4—1586no—
2023D4—1586no—
2024D4—1586no—
2025D4—1586no—
2026C2×C4—26no—
2027C2×C4—26no—
2028C2×C4—26no—
2029C2×C4—43no—
2030C2×C4—43no—
2031C2×C4—46no—
2032C2×C4—3161no—
2033C2×C4—3163no—
2034C2×C4—3163no—
2035C2×C4—3163no—
2036C2×C4—3163no—
2037C2×C4—3163no—
2038C2×C4—3166no—
2039C2×C4—3166no—
2040C2×C4—3166no—
2041C2×C4—3166no—
2042C2×C4—3163no—
2043C2×C4—3163no—
2044C2×C4—3161no—
2045C2×C4—3163no—
2046C2×C4—791no—
2047C2×C4—791no—
2048C2×C4—793no—
2049C2×C4—791no—
2050C2×C4—791no—
2051C2×C4—793no—
2052C2×C4—793no—
2053C2×C4—791no—
2054C2×C4—791no—
2055C2×C4—791no—
2056C2×C4—1586no—
2057C2×C4—1586no—
2058C2×C4—1586no—
2059C2×C4—1586no—
2060C2×C4—1586no—
2061C2×C4—1586no—
2062C2×C4C24×D7913yes—
2063C2×C4C24×D7911yescharacteristic
2064C2×C4C24×D7913yes—
2065C2×C4C24×D7911yescharacteristic
2066C2×C4C24×D7913yes—
2067C2×C4C24×D7913yes—
2068C2×C4C24×D7911yescharacteristic
2069C2×C4C24×D7911yescharacteristic
2070C2×C4C24×D7911yescharacteristic
2071C2×C4C24×D7913yes—
2072C2×C4C24×D7911yescharacteristic
2073C2×C4C24×D7913yes—
2074C22—21no—
2075C22—23no—
2076C22—23no—
2077C22—23no—
2078C22—23no—
2079C22—23no—
2080C22—21no—
2081C22—21no—
2082C22—23no—
2083C22—6326no—
2084C22—6326no—
2085C22—1583no—
2086C22—1581no—
2087C22—1583no—
2088C22—1583no—
2089C22—1583no—
2090C22—1583no—
2091C22—1583no—
2092C22—1583no—
2093C22—1583no—
2094C22—1583no—
2095C22—1583no—
2096C22—1583no—
2097C22—1583no—
2098C22—1581no—
2099C22—1581no—
2100C22—1583no—
2101C22—1583no—
2102C22—1583no—
2103C22—12646no—
2104C22—12646no—
2105C22—12646no—
2106C22C25×D7911yescharacteristic
2107C4—21no—
2108C4—21no—
2109C4—23no—
2110C4—21no—
2111C4—21no—
2112C4—23no—
2113C4—23no—
2114C4—23no—
2115C4—21no—
2116C4—23no—
2117C4—21no—
2118C4—1581no—
2119C4—1581no—
2120C4—1581no—
2121C4—1583no—
2122C4—1581no—
2123C4—1581no—
2124C4—1583no—
2125C4—1581no—
2126C4—1583no—
2127C4—1581no—
2128C4C2×#1457920716yes—
2129C2—41no—
2130C2—43no—
2131C2—43no—
2132C2—3161no—
2133C2—3163no—
2134C2—3163no—
2135C2—3163no—
2136C2—3163no—
2137C2—3163no—
2138C2C22×#1457920711yescharacteristic
2139C2#2377821111yescharacteristic
2140C2#2377821111yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3524C2
hypercenter#3524D79
hypocenterC79#63066
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3524

Complements

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

NH ≅ G/Ntype
1. #23777920C2semidirect
2. #23777915C2semidirect
3. #23777828C2semidirect
4. #23777822C2semidirect
5. #23777801C2semidirect
6. #23777734C2semidirect
7. #23777730C2semidirect
8. #23777730C2semidirect
9. #23777729C2semidirect
10. #23777723C2semidirect
11. #23777719C2semidirect
12. #23777712C2semidirect
13. #23777710C2semidirect
14. #23777638C2semidirect
15. #23777636C2semidirect
16. #23777539C2semidirect
17. #23777512C2semidirect
18. #23777511C2semidirect
19. #23777509C2semidirect
20. #23777407C2semidirect
21. #23777400C2semidirect
22. #23777191C2semidirect
23. #23777178C2semidirect
24. #23777177C2semidirect
25. #23777070C2semidirect
26. #23777068C2semidirect
27. #23777066C2semidirect
28. #23777066C2semidirect
29. #23777059C2semidirect
30. #23777057C2semidirect
31. C79×#3524C2semidirect
32. C2×#14579209C22semidirect
33. C2×#14579207C22semidirect
34. C2×#14579207C22semidirect
35. C2×#14579207C22semidirect
36. C22×#11929625C22semidirect
37. C2×#41×D79C22semidirect
38. #19099317C22semidirect
39. #19099315C22semidirect
40. #19099315C22semidirect
41. #19099311C22semidirect
42. #19099310C22semidirect
43. #19099310C22semidirect
44. #19099309C22semidirect
45. #19099309C22semidirect
46. #19099307C22semidirect
47. #19099305C22semidirect
48. #19099305C22semidirect
49. #19099304C22semidirect
50. #19099304C22semidirect
51. #19099304C22semidirect
52. #19099304C22semidirect
53. #19099303C22semidirect
54. #19099303C22semidirect
55. #19099303C22semidirect
56. #19099301C22semidirect
57. #19099301C22semidirect
58. #19099301C22semidirect
59. #19099298C22semidirect
60. #19099298C22semidirect
61. #19099296C22semidirect
62. #19099289C22semidirect
63. #19099279C22semidirect
64. #19099276C22semidirect
65. #19099276C22semidirect
66. #19099276C22semidirect
67. #19099266C22semidirect
68. #19099266C22semidirect
69. #19099266C22semidirect
70. #19099263C22semidirect
71. #19099263C22semidirect
72. #19099261C22semidirect
73. #19099257C22semidirect
74. #19099254C22semidirect
75. #19099252C22semidirect
76. #19099251C22semidirect
77. #19099238C22semidirect
78. #19099237C22semidirect
79. #19099235C22semidirect
80. #19099235C22semidirect
81. #19099235C22semidirect
82. #19099235C22semidirect
83. #19099235C22semidirect
84. #19099235C22semidirect
85. #19099235C22semidirect
86. #19099235C22semidirect
87. #19099235C22semidirect
88. #19099234C22semidirect
89. #19099234C22semidirect
90. #19099232C22semidirect
91. #19099232C22semidirect
92. #19099232C22semidirect
93. #19099231C22semidirect
94. #19099225C22semidirect
95. #19099225C22semidirect
96. #19099225C22semidirect
97. #19099225C22semidirect
98. #19099225C22semidirect
99. #19099224C22semidirect
100. #19099224C22semidirect
101. #19099223C22semidirect
102. #19099221C22semidirect
103. #19099220C22semidirect
104. #19099216C22semidirect
105. #19099214C22semidirect
106. #19099210C22semidirect
107. #19099210C22semidirect
108. #19099209C22semidirect
109. #19099209C22semidirect
110. #19099209C22semidirect
111. #19099208C22semidirect
112. #19099208C22semidirect
113. #19099206C22semidirect
114. #19099206C22semidirect
115. #19099206C22semidirect
116. #19099206C22semidirect
117. #19099205C22semidirect
118. #19099204C22semidirect
119. #19099204C22semidirect
120. #19099204C22semidirect
121. #19099204C22semidirect
122. D4×D316C22semidirect
123. D4×D316C22semidirect
124. D4×D316C22semidirect
125. D4×D316C22semidirect
126. D4×D316C22semidirect
127. D4×D316C22semidirect
128. D4×D316C22semidirect
129. D4×D316C22semidirect
130. D4×D316C22semidirect
131. D4×D316C22semidirect
132. #19099198C22semidirect
133. #19099198C22semidirect
134. #19099197C22semidirect
135. #19099197C22semidirect
136. #19099197C22semidirect
137. #19099197C22semidirect
138. #19099197C22semidirect
139. #19099197C22semidirect
140. #19099197C22semidirect
141. #19099187C22semidirect
142. #19099185C22semidirect
143. #19099178C22semidirect
144. #19099169C22semidirect
145. #19099169C22semidirect
146. #19099169C22semidirect
147. #19099169C22semidirect
148. #19099168C22semidirect
149. #19099168C22semidirect
150. #19099168C22semidirect
151. #19099165C22semidirect
152. #19099164C22semidirect
153. #19099164C22semidirect
154. #19099164C22semidirect
155. #19099152C22semidirect
156. #19099152C22semidirect
157. #19099149C22semidirect
158. #19099149C22semidirect
159. #19099147C22semidirect
160. #19099146C22semidirect
161. #19099144C22semidirect
162. #19099143C22semidirect
163. #19099143C22semidirect
164. #19099142C22semidirect
165. #19099136C22semidirect
166. #19099132C22semidirect
167. #19099132C22semidirect
168. #19099132C22semidirect
169. #19099132C22semidirect
170. #19099132C22semidirect
171. #19099132C22semidirect
172. #19099131C22semidirect
173. #19099131C22semidirect
174. #19099131C22semidirect
175. #19099131C22semidirect
176. #19099131C22semidirect
177. #19099129C22semidirect
178. #19099129C22semidirect
179. #19099129C22semidirect
180. #19099129C22semidirect
181. #19099129C22semidirect
182. #19099126C22semidirect
183. #19099124C22semidirect
184. #19099124C22semidirect
185. #19099124C22semidirect
186. #19099124C22semidirect
187. #19099124C22semidirect
188. #19099121C22semidirect
189. #19099114C22semidirect
190. #19099113C22semidirect
191. #19099110C22semidirect
192. #19099110C22semidirect
193. #19099110C22semidirect
194. C2×#14579158C22semidirect
195. #127×D79C22semidirect
196. #19099100C22semidirect
197. #19099100C22semidirect
198. #19099100C22semidirect
199. #19099098C22semidirect
200. #19099097C22semidirect
201. #19099097C22semidirect
202. #19099091C22semidirect
203. #19099091C22semidirect
204. #124×D79C22semidirect
205. #19099076C22semidirect
206. #19099075C22semidirect
207. #19099075C22semidirect
208. #19099075C22semidirect
209. #19099072C22semidirect
210. #19099072C22semidirect
211. #19099072C22semidirect
212. #19099072C22semidirect
213. C2×#14579136C22semidirect
214. #121×D79C22semidirect
215. #121×D79C22semidirect
216. #121×D79C22semidirect
217. #19099045C22semidirect
218. #19099045C22semidirect
219. #19099045C22semidirect
220. #19099039C22semidirect
221. C4×#11929625C22semidirect
222. C4×#11929625C22semidirect
223. #559×C79C22semidirect
224. #557×C79C22semidirect
225. #555×C79C22semidirect
226. #553×C79C22semidirect
227. #552×C79C22semidirect
228. #550×C79C22semidirect
229. #548×C79C22semidirect
230. #548×C79C22semidirect
231. #542×C79C22semidirect
232. #540×C79C22semidirect
233. #529×C79C22semidirect
234. #529×C79C22semidirect
235. #520×C79C22semidirect
236. #519×C79C22semidirect
237. C4×#41×C79C22semidirect
1090. #3524D79semidirect
1102. C79#63066semidirect
1133. #559C2×D79semidirect
1135. #557C2×D79semidirect
1140. #555C2×D79semidirect
1148. #553C2×D79semidirect
1152. #552C2×D79semidirect
1170. #550C2×D79semidirect
1181. #548C2×D79semidirect
1182. #548C2×D79semidirect
1223. #542C2×D79semidirect
1235. #540C2×D79semidirect
1285. #529C2×D79semidirect
1286. #529C2×D79semidirect
1303. #520C2×D79semidirect
1305. #519C2×D79semidirect
1308. C4×#41C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779202
#237779152
#237778282
#237778222
#237778012
#237777342
#237777302
#237777292
#237777232
#237777192
#237777122
#237777102
#237776382
#237776362
#237775392
#237775122
#237775112
#237775092
#237774072
#237774002
#237771912
#237771782
#237771772
#237770702
#237770682
#237770662
#237770592
#237770572
C79×#35242
#6306679