Finite Group Databasebeta

← #35197258

Subgroups — #35197258

Order 20224.

6616 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777908C212yesmaximal, complemented
2#23777907C214yesmaximal, complemented
3#23777829C212yesmaximal, complemented
4#23777828C214yesmaximal, complemented
5#23777677C212yesmaximal, complemented
6#23777676C214yesmaximal, complemented
7#23777662C212yesmaximal, complemented
8#23777661C214yesmaximal, complemented
9#23777512C214yesmaximal, complemented
10#23777511C214yesmaximal, complemented
11#23777506C214yesmaximal, complemented
12#23777475C214yesmaximal, complemented
13#23777474C214yesmaximal, complemented
14#23777473C214yesmaximal, complemented
15#23777313C212yesmaximal, complemented
16#23777312C212yesmaximal, complemented
17#23777312C212yesmaximal, complemented
18#23777279C212yesmaximal, complemented
19#23777277C212yesmaximal, complemented
20#23777276C211yesmaximal, characteristic, complemented
21#23776697C212yesmaximal, complemented
22#23776693C211yesmaximal, characteristic, complemented
23C79×#3509C211yesmaximal, characteristic, complemented
24#19099317C2218yescomplemented
25#19099312C2214yescomplemented
26#19099305C2214yes—
27#19099304C2218yescomplemented
28#19099303C2214yescomplemented
29#19099303C2214yescomplemented
30#19099298C2214yescomplemented
31#19099298C2214yescomplemented
32#19099298C2214yescomplemented
33#19099298C2218yescomplemented
34#19099297C2214yescomplemented
35#19099290C2214yescomplemented
36#19099289C2214yescomplemented
37#19099287C2214yescomplemented
38#19099285C2214yescomplemented
39#19099285C2214yescomplemented
40#19099284C2214yes—
41#19099281C2214yes—
42#19099279C2214yescomplemented
43#19099279C2214yescomplemented
44#19099276C2214yescomplemented
45#19099276C2214yescomplemented
46#19099276C2218yescomplemented
47#19099274C2214yescomplemented
48#19099269C2214yescomplemented
49#19099269C2214yescomplemented
50#19099266C2214yescomplemented
51#19099266C2214yescomplemented
52#19099266C2218yescomplemented
53#19099264C2218yescomplemented
54#19099261C2214yescomplemented
55#19099261C2214yescomplemented
56#19099257C2214yescomplemented
57#19099257C2214yescomplemented
58#19099257C2218yescomplemented
59#19099254C2218yescomplemented
60#19099254C2214yescomplemented
61#19099252C2214yescomplemented
62#19099251C2218yescomplemented
63#19099251C2214yescomplemented
64#19099247C2214yescomplemented
65#19099245C2218yescomplemented
66#19099243C2214yes—
67#19099241C2214yescomplemented
68#19099238C2218yes—
69#19099238C2218yescomplemented
70#19099235C2214yes—
71#19099235C2214yes—
72#19099234C2214yes—
73#19099225C2214yescomplemented
74#19099225C2214yescomplemented
75#19099224C2214yescomplemented
76#19099224C2214yescomplemented
77#19099223C2214yescomplemented
78#19099223C2214yescomplemented
79#19099216C2214yescomplemented
80#19099215C2214yescomplemented
81#19099215C2214yescomplemented
82#19099209C2214yes—
83#19099209C2214yescomplemented
84#19099204C2214yes—
85#19099204C2214yes—
86#19099204C2214yescomplemented
87#19099204C2214yescomplemented
88#19099187C2214yescomplemented
89#19099187C2214yescomplemented
90#19099187C2218yescomplemented
91#19099186C2214yescomplemented
92#19099186C2214yescomplemented
93#19099185C2214yescomplemented
94#19099185C2214yescomplemented
95#19099185C2218yescomplemented
96#19099179C2218yescomplemented
97#19099173C2214yescomplemented
98#19099171C2214yescomplemented
99#19099169C2214yes—
100#19099169C2218yescomplemented
101#19099169C2214yescomplemented
102#19099168C2212yes—
103#19099168C2218yescomplemented
104#19099168C2212yescomplemented
105#19099165C2218yescomplemented
106#19099161C2218yescomplemented
107#19099161C2218yescomplemented
108#19099154C2218yescomplemented
109#19099152C2218yes—
110#19099149C2218yes—
111#19099147C2218yes—
112#19099144C2214yescomplemented
113#19099143C2214yescomplemented
114#19099143C2214yescomplemented
115#19099136C2214yes—
116#19099132C2214yes—
117#19099127C2212yes—
118#19099120C2211yescharacteristic, complemented
119#19099118C2212yescomplemented
120#19099118C2212yescomplemented
121#19099118C2212yescomplemented
122#19099117C2212yescomplemented
123#19099116C2211yescharacteristic, complemented
124#19099114C2212yes—
125#19099114C2212yes—
126#19099114C2212yescomplemented
127#19099114C2212yescomplemented
128#19099113C2212yes—
129#19099113C2212yescomplemented
130#19099110C2212yes—
131#19099109C2211yescharacteristic
132C4⋊Q8×D79C2212yescomplemented
133C2×#14579158C2211yescharacteristic, complemented
134#19099100C2214yescomplemented
135#19099100C2212yescomplemented
136#19099100C2214yescomplemented
137#19099100C2218yescomplemented
138#19099099C2214yescomplemented
139#19099099C2214yescomplemented
140#19099098C2214yescomplemented
141#19099098C2214yescomplemented
142#19099098C2218yescomplemented
143#19099095C2212yes—
144#19099093C2212yes—
145#19099093C2212yescomplemented
146#19099091C2212yes—
147#19099091C2212yescomplemented
148#19099091C2218yescomplemented
149#126×D79C2218yescomplemented
150#19099076C2214yescomplemented
151#19099076C2214yescomplemented
152#19099075C2214yescomplemented
153#19099075C2211yescharacteristic, complemented
154#19099072C2212yes—
155#19099072C2212yescomplemented
156#19099070C2211yescharacteristic
157#19099045C2214yescomplemented
158#19099045C2214yescomplemented
159#19099044C2214yescomplemented
160#19099039C2214yescomplemented
161#19099037C2214yescomplemented
162#19099037C2212yescomplemented
163C4×#11929625C2214yescomplemented
164C4×#11929625C2214yescomplemented
165C4×#11929624C2212yes—
166C4×#11929624C2211yescharacteristic, complemented
167C4×#11929624C2212yescomplemented
168#19099031C2214yescomplemented
169C2×C42×D79C2211yescharacteristic, complemented
170#557×C79C2214yescomplemented
171#556×C79C2214yes—
172#552×C79C2214yescomplemented
173#552×C79C2214yescomplemented
174#541×C79C2212yescomplemented
175#541×C79C2212yescomplemented
176#536×C79C2212yes—
177#533×C79C2211yescharacteristic, complemented
178#533×C79C2212yescomplemented
179#533×C79C2212yescomplemented
180C2×C4⋊Q8×C79C2211yescharacteristic, complemented
181#519×C79C2212yescomplemented
182C4×#41×C79C2211yescharacteristic
183C2×#11929625C2314yes—
184C2×#11929625C2314yes—
185C2×#11929625C2314yes—
186C2×#11929625C2314yes—
187C2×#11929624C2312yes—
188C2×#11929624C2311yescharacteristic
189C2×#11929624C2312yes—
190C2×#11929624C2314yes—
191C2×#11929624C2314yes—
192C2×Q8×D79C2314yes—
193C22×D316C2312yes—
194C22×D316C2314yes—
195C22×C4×D79C2311yescharacteristic
196C22×C4×D79C2312yes—
197#14579161C2312yes—
198#14579160C2318yes—
199#14579160C2314yes—
200#14579160C2314yes—
201#14579160C2312yes—
202#14579159C2314yes—
203#14579159C2311yescharacteristic
204#14579158C2312yes—
205#14579158C2318yes—
206#14579158C2314yes—
207#14579158C2312yes—
208#14579157C2314yes—
209#14579157C2311yescharacteristic
210#14579156C2318yes—
211#14579156C2318yes—
212#14579156C2318yes—
213#14579156C2318yes—
214#14579156C2318yes—
215#14579156C2318yes—
216#14579156C2318yes—
217#14579156C2312yes—
218#14579156C2312yes—
219#14579155C2318yes—
220#14579155C2318yes—
221#14579155C2318yes—
222#14579154C2318yes—
223#14579154C2318yes—
224#14579154C2312yes—
225#14579154C2312yes—
226#14579153C2318yes—
227#14579153C2312yes—
228#14579152C2318yes—
229#14579152C2314yes—
230#14579152C2314yes—
231#14579152C2312yes—
232#14579152C2314yes—
233#14579151C2318yes—
234#14579151C2318yes—
235#14579151C2312yes—
236#14579151C2312yes—
237#14579150C2318yes—
238#14579150C2314yes—
239#14579150C2314yes—
240#14579150C2318yes—
241#14579150C2314yes—
242#14579150C2314yes—
243#14579150C2314yes—
244#14579150C2311yescharacteristic
245#14579149C2318yes—
246#14579149C2318yes—
247#14579149C2318yes—
248#14579149C2314yes—
249#14579149C2314yes—
250#14579148C2311yescharacteristic
251#14579147C2318yes—
252#14579147C2318yes—
253#14579147C2318yes—
254#14579147C2312yes—
255#14579147C2312yes—
256#14579146C2318yes—
257#14579146C2318yes—
258#14579146C2318yes—
259#14579146C2318yes—
260#14579146C2318yes—
261#14579146C2318yes—
262#14579146C2318yes—
263#14579146C2318yes—
264#14579146C2318yes—
265#14579146C2318yes—
266#14579146C2318yes—
267#14579146C2318yes—
268#14579146C2318yes—
269#14579146C2312yes—
270#14579146C2312yes—
271#14579145C2318yes—
272#14579145C2312yes—
273#14579143C2318yes—
274#14579143C2318yes—
275#14579143C2318yes—
276#14579143C2312yes—
277#14579143C2312yes—
278#14579142C2311yescharacteristic
279#14579142C2311yescharacteristic
280#14579141C2314yes—
281#14579141C2318yes—
282#14579141C2314yes—
283#14579141C2318yes—
284#14579141C2312yes—
285#14579141C2318yes—
286#14579141C2314yes—
287#14579140C2314yes—
288#14579139C2318yes—
289#14579139C2318yes—
290#14579139C2318yes—
291#14579139C2312yes—
292#14579139C2312yes—
293#14579139C2318yes—
294#14579138C2312yes—
295#14579138C2312yes—
296#14579137C2314yes—
297#14579137C2314yes—
298#14579137C2318yes—
299#14579137C2312yes—
300#14579137C2318yes—
301#14579137C2314yes—
302#14579136C2318yes—
303#14579136C2314yes—
304#14579136C2318yes—
305#14579136C2314yes—
306#14579136C2318yes—
307#14579136C2314yes—
308#14579136C2314yes—
309#14579136C2318yes—
310#14579136C2318yes—
311#14579136C2318yes—
312#14579136C2312yes—
313#14579136C2318yes—
314#14579136C2314yes—
315#14579136C2314yes—
316#14579136C2314yes—
317#14579136C2314yes—
318#14579135C2314yes—
319#14579135C2314yes—
320#14579135C2318yes—
321#14579135C2318yes—
322#14579135C2314yes—
323#14579135C2314yes—
324#14579134C2318yes—
325#14579134C2318yes—
326#14579134C2318yes—
327#14579134C2318yes—
328#14579134C2312yes—
329#14579134C2318yes—
330#14579134C2312yes—
331#14579134C2318yes—
332#14579133C2312yes—
333#14579133C2312yes—
334#14579132C2312yes—
335#14579131C2318yes—
336#14579131C2318yes—
337#14579131C2318yes—
338#14579131C2312yes—
339#14579129C2314yes—
340#14579129C2314yes—
341#14579129C2311yescharacteristic
342#14579129C2311yescharacteristic
343Q8×Dic79C2314yes—
344Q8×Dic79C2314yes—
345Q8×Dic79C2314yes—
346C4×Dic158C2314yes—
347C4×Dic158C2318yes—
348C4×Dic158C2312yes—
349C4×Dic158C2312yes—
350C4×Dic158C2312yes—
351C4×Dic158C2312yes—
352C4×Dic158C2312yes—
353#14579126C2314yes—
354#14579126C2314yes—
355#14579126C2318yes—
356#14579126C2314yes—
357C4×D316C2318yes—
358C4×D316C2318yes—
359C4×D316C2318yes—
360C4×D316C2318yes—
361C4×D316C2314yes—
362C4×D316C2314yes—
363C4×D316C2318yes—
364C4×D316C2314yes—
365C4×D316C2314yes—
366C4×D316C2312yes—
367C4×D316C2312yes—
368C4×D316C2312yes—
369C4×D316C2312yes—
370C4×D316C2312yes—
371C4×D316C2318yes—
372#14579123C2318yes—
373#14579123C2318yes—
374#14579123C2318yes—
375#14579123C2314yes—
376#14579123C2314yes—
377#14579123C2314yes—
378#14579123C2314yes—
379#14579123C2318yes—
380#14579123C2314yes—
381#14579123C2314yes—
382#14579123C2314yes—
383#14579123C2314yes—
384#14579123C2318yes—
385C4×C22⋊D79C2318yes—
386C4×C22⋊D79C2318yes—
387C4×C22⋊D79C2312yes—
388C4×C22⋊D79C2312yes—
389C4×C22⋊D79C2312yes—
390C4×C22⋊D79C2312yes—
391C4×C22⋊D79C2312yes—
392C4×C22⋊D79C2312yes—
393C4×C22⋊D79C2312yes—
394C4×C22⋊D79C2312yes—
395C4×C22⋊D79C2312yes—
396C4×C22⋊D79C2312yes—
397(C22⋊D79)⋊C4C2318yes—
398(C22⋊D79)⋊C4C2318yes—
399#14579120C2312yes—
400#14579120C2311yescharacteristic
401#14579120C2312yes—
402#14579120C2312yes—
403#14579119C2314yes—
404#14579119C2318yes—
405#14579119C2318yes—
406#14579119C2318yes—
407#14579119C2318yes—
408#14579119C2314yes—
409#14579119C2314yes—
410#14579118C2312yes—
411#14579118C2312yes—
412#14579118C2318yes—
413#14579118C2312yes—
414#14579118C2312yes—
415#14579118C2318yes—
416#14579118C2312yes—
417#14579118C2318yes—
418#14579118C2318yes—
419C4⋊C4×D79C2314yes—
420C4⋊C4×D79C2314yes—
421C4⋊C4×D79C2318yes—
422C4⋊C4×D79C2318yes—
423C4⋊C4×D79C2318yes—
424C22⋊C4×D79C2318yes—
425C22⋊C4×D79C2318yes—
426C22⋊C4×D79C2318yes—
427C2×C4×Dic79C2312yes—
428C2×C4×Dic79C2311yescharacteristic
429C42×D79C2312yes—
430C42×D79C2312yes—
431C42×D79C2312yes—
432C42×D79C2312yes—
433C42×D79C2318yes—
434C42×D79C2312yes—
435C2×#41×C79C2311yescharacteristic
436C22×Q8×C79C2312yes—
437C4⋊Q8×C79C2314yes—
438C4⋊Q8×C79C2314yes—
439C4⋊Q8×C79C2312yes—
440C4⋊Q8×C79C2312yes—
441C4⋊Q8×C79C2312yes—
442#126×C79C2318yes—
443#126×C79C2318yes—
444#125×C79C2318yes—
445#125×C79C2318yes—
446#125×C79C2314yes—
447#125×C79C2312yes—
448#125×C79C2314yes—
449#124×C79C2314yes—
450#123×C79C2314yes—
451#123×C79C2314yes—
452C22⋊Q8×C79C2314yes—
453C22⋊Q8×C79C2314yes—
454C22⋊Q8×C79C2314yes—
455C22⋊Q8×C79C2314yes—
456C22⋊Q8×C79C2314yes—
457C4×Q8×C79C2314yes—
458C4×Q8×C79C2314yes—
459C4×Q8×C79C2314yes—
460C4×Q8×C79C2318yes—
461C4×Q8×C79C2314yes—
462C4×Q8×C79C2314yes—
463C4×Q8×C79C2312yes—
464C4×D4×C79C2312yes—
465C4×D4×C79C2312yes—
466C4×D4×C79C2312yes—
467#117×C79C2311yescharacteristic
468#117×C79C2311yescharacteristic
469#117×C79C2318yes—
470#117×C79C2311yescharacteristic
471#117×C79C2312yes—
472#117×C79C2314yes—
473#117×C79C2314yes—
474C2×C4⋊C4×C79C2314yes—
475C2×C42×C79C2311yescharacteristic
476C2×C42×C79C2311yescharacteristic
477C2×C42×C79C2311yescharacteristic
478C23×D79C2414yes—
479C23×D79C2411yescharacteristic
480#11929625—48no—
481#11929625—48no—
482#11929625—48no—
483#11929625—48no—
484#11929624—48no—
485#11929624—48no—
486#11929624—42no—
487#11929624—44no—
488#11929624—44no—
489C2×Dic158C2414yes—
490C2×Dic158C2418yes—
491C2×Dic158C2412yes—
492C2×Dic158C2412yes—
493C2×Dic158C2411yescharacteristic
494Q8×D79—48no—
495C2×D316—48no—
496C2×D316—44no—
497C2×D316C2414yes—
498C2×D316C2414yes—
499C2×D316C2414yes—
500C2×D316C2412yes—
501C2×D316C2412yes—
502C2×D316C2411yescharacteristic
503C2×D316C2418yes—
504C2×D316C2418yes—
505C2×D316C2418yes—
506C2×D316C2418yes—
507C2×D316C2414yes—
508C2×D316C2418yes—
509C2×C22⋊D79C2418yes—
510C2×C22⋊D79C2412yes—
511C2×C22⋊D79C2412yes—
512C2×C22⋊D79C2418yes—
513C2×C22⋊D79C2412yes—
514C2×C22⋊D79C2412yes—
515C2×C22⋊D79C2412yes—
516C22×Dic79C2411yescharacteristic
517C22×Dic79C2412yes—
518C2×C4×D79—44no—
519C2×C4×D79—42no—
520C2×C4×D79C2412yes—
521C2×C4×D79C2412yes—
522C2×C4×D79C2412yes—
523C2×C4×D79C2412yes—
524C2×C4×D79C2412yes—
525C2×C4×D79C2412yes—
526C2×C4×D79C2418yes—
527C2×C4×D79C2418yes—
528C2×C4×D79C2418yes—
529C2×C4×D79C2418yes—
530C2×C4×D79C2418yes—
531C2×C4×D79C2418yes—
532C2×C4×D79C2418yes—
533C2×C4×D79C2412yes—
534C2×C4×D79C2412yes—
535C2×C4×D79C2412yes—
536C4⋊Dic79C2412yes—
537C4⋊Dic79C2414yes—
538C4⋊Dic79C2418yes—
539C4⋊Dic79C2414yes—
540C4⋊Dic79C2418yes—
541C4⋊Dic79C2412yes—
542C4⋊Dic79C2418yes—
543C4⋊Dic79C2412yes—
544C4⋊Dic79C2412yes—
545C4⋊Dic79C2412yes—
546Dic79⋊C4C2412yes—
547Dic79⋊C4C2412yes—
548Dic79⋊C4C2418yes—
549Dic79⋊C4C2418yes—
550Dic79⋊C4C2418yes—
551Dic79⋊C4C2418yes—
552Dic79⋊C4C2412yes—
553Dic79⋊C4C2412yes—
554Dic79⋊C4C2418yes—
555Dic79⋊C4C2412yes—
556Dic79⋊C4C2412yes—
557Dic79⋊C4C2412yes—
558Dic79⋊C4C2412yes—
559Dic79⋊C4C2412yes—
560Dic79⋊C4C2412yes—
561Dic79⋊C4C2418yes—
562C22⋊Dic79C2412yes—
563C22⋊Dic79C2412yes—
564C22⋊Dic79C2414yes—
565C22⋊Dic79C2412yes—
566C22⋊Dic79C2412yes—
567C22⋊Dic79C2411yescharacteristic
568C22⋊Dic79C2411yescharacteristic
569(C2×D79)⋊C4C2418yes—
570(C2×D79)⋊C4C2418yes—
571(C2×D79)⋊C4C2418yes—
572(C2×D79)⋊C4C2418yes—
573(C2×D79)⋊C4C2418yes—
574(C2×D79)⋊C4C2418yes—
575(C2×D79)⋊C4C2412yes—
576(C2×D79)⋊C4C2412yes—
577(C2×D79)⋊C4C2418yes—
578(C2×D79)⋊C4C2418yes—
579(C2×D79)⋊C4C2412yes—
580(C2×D79)⋊C4C2412yes—
581(C2×D79)⋊C4C2412yes—
582(C2×D79)⋊C4C2412yes—
583(C2×D79)⋊C4C2412yes—
584(C2×D79)⋊C4C2412yes—
585(C2×D79)⋊C4C2412yes—
586(C2×D79)⋊C4C2412yes—
587(C2×D79)⋊C4C2418yes—
588(C2×D79)⋊C4C2418yes—
589(C2×D79)⋊C4C2418yes—
590(C2×D79)⋊C4C2418yes—
591(C2×D79)⋊C4C2418yes—
592(C2×D79)⋊C4C2418yes—
593(C2×D79)⋊C4C2418yes—
594C4×Dic79C2412yes—
595C4×Dic79C2412yes—
596C4×Dic79C2412yes—
597C4×Dic79C2411yescharacteristic
598C4×Dic79C2412yes—
599C4×Dic79C2412yes—
600C4×Dic79C2411yescharacteristic
601C4×Dic79C2418yes—
602C4×Dic79C2412yes—
603C4×Dic79C2412yes—
604C4×Dic79C2412yes—
605C4×Dic79C2418yes—
606C4×Dic79C2418yes—
607C4×Dic79C2414yes—
608#41×C79—42no—
609C2×Q8×C79—44no—
610C2×Q8×C79C2414yes—
611C2×Q8×C79C2414yes—
612C2×Q8×C79C2414yes—
613C2×Q8×C79C2411yescharacteristic
614C2×D4×C79C2411yescharacteristic
615C2×D4×C79C2411yescharacteristic
616C2×D4×C79C2411yescharacteristic
617C22×C4×C79C2412yes—
618C22×C4×C79C2412yes—
619C22×C4×C79C2412yes—
620C22×C4×C79C2411yescharacteristic
621C22×C4×C79C2411yescharacteristic
622C22×C4×C79C2411yescharacteristic
623C22×C4×C79C2414yes—
624C4⋊C4×C79C2414yes—
625C4⋊C4×C79C2414yes—
626C4⋊C4×C79C2418yes—
627C4⋊C4×C79C2414yes—
628C4⋊C4×C79C2412yes—
629C4⋊C4×C79C2412yes—
630C4⋊C4×C79C2412yes—
631C4⋊C4×C79C2414yes—
632C4⋊C4×C79C2418yes—
633C4⋊C4×C79C2418yes—
634C4⋊C4×C79C2418yes—
635C4⋊C4×C79C2418yes—
636C4⋊C4×C79C2418yes—
637C22⋊C4×C79C2412yes—
638C22⋊C4×C79C2414yes—
639C22⋊C4×C79C2412yes—
640C22⋊C4×C79C2412yes—
641C22⋊C4×C79C2418yes—
642C22⋊C4×C79C2418yes—
643C42×C79C2411yescharacteristic
644C42×C79C2411yescharacteristic
645C42×C79C2411yescharacteristic
646C42×C79C2411yescharacteristic
647C42×C79C2412yes—
648C42×C79C2412yes—
649C42×C79C2412yes—
650C42×C79C2418yes—
651C42×C79C2418yes—
652C42×C79C2414yes—
653C23×C79C2511yescharacteristic
654C23×C79C2511yescharacteristic
655C23×C79C2511yescharacteristic
656C22×D79—42no—
657C22×D79—41no—
658C22×D79—48no—
659C22×D79—44no—
660C22×D79C2512yes—
661C22×D79C2518yes—
662C22×D79C2512yes—
663Q8×C79—28no—
664Q8×C79—28no—
665Q8×C79—44no—
666Q8×C79—41no—
667D4×C79—41no—
668D4×C79—41no—
669D4×C79—41no—
670C2×C4×C79—24no—
671C2×C4×C79—22no—
672C2×C4×C79—24no—
673C2×C4×C79—22no—
674C2×C4×C79—24no—
675C2×C4×C79—22no—
676C2×C4×C79—44no—
677C2×C4×C79C2511yescharacteristic
678C2×C4×C79C2511yescharacteristic
679C2×C4×C79C2518yes—
680C2×C4×C79C2512yes—
681C2×C4×C79C2518yes—
682C2×C4×C79C2511yescharacteristic
683C2×C4×C79C2512yes—
684C2×C4×C79C2512yes—
685C2×C4×C79C2511yescharacteristic
686C2×C4×C79C2512yes—
687C22⋊D79—48no—
688C22⋊D79—48no—
689C22⋊D79—42no—
690C22⋊D79—42no—
691C22⋊D79—42no—
692C22⋊D79—42no—
693C22⋊D79—42no—
694C2×Dic79—42no—
695C2×Dic79—41no—
696C2×Dic79C2512yes—
697C2×Dic79C2512yes—
698C2×Dic79C2512yes—
699C2×Dic79C2512yes—
700C2×Dic79C2518yes—
701C2×Dic79C2512yes—
702C2×Dic79C2512yes—
703D316—28no—
704D316—28no—
705D316—28no—
706D316—44no—
707D316—48no—
708D316—41no—
709D316—42no—
710D316—42no—
711D316—48no—
712D316—48no—
713D316—48no—
714D316—48no—
715C4×D79—24no—
716C4×D79—24no—
717C4×D79—24no—
718C4×D79—24no—
719C4×D79—24no—
720C4×D79—24no—
721C4×D79—42no—
722C4×D79—42no—
723C4×D79—42no—
724C4×D79—48no—
725C4×D79—48no—
726C4×D79—48no—
727C4×D79—48no—
728C4×D79—48no—
729C4×D79—48no—
730C4×D79—48no—
731Dic158—28no—
732Dic158—48no—
733Dic158—42no—
734Dic158—42no—
735Dic158—41no—
736C22×C79—22no—
737C22×C79—22no—
738C22×C79—21no—
739C22×C79—22no—
740C22×C79—21no—
741C22×C79—21no—
742C22×C79C2611yescharacteristic
743C2×D79—22no—
744C2×D79—28no—
745C2×D79—28no—
746C2×D79—22no—
747C2×D79—22no—
748C2×D79—22no—
749C2×D79—22no—
750C2×D79—22no—
751C2×D79—28no—
752C2×D79—44no—
753C2×D79—164no—
754C4×C79—21no—
755C4×C79—21no—
756C4×C79—21no—
757C4×C79—22no—
758C4×C79—22no—
759C4×C79—22no—
760C4×C79—28no—
761C4×C79—28no—
762C4×C79#58512yes—
763C4×C79#58514yes—
764Dic79—28no—
765Dic79—22no—
766Dic79—22no—
767Dic79—22no—
768Dic79—22no—
769Dic79—22no—
770Dic79—22no—
771#62839—791nomaximal, Sylow
772C2×C79—41no—
773C2×C79—41no—
774C2×C79—41no—
775C2×C79C2×#58511yescharacteristic
776C2×C79C2×#58512yes—
777D79—42no—
778D79—42no—
779D79—48no—
780#3557—794no—
781#3557—792no—
782#3551—794no—
783#3551—792no—
784#3540—794no—
785#3540—792no—
786#3539—794no—
787#3539—792no—
788#3524—794no—
789#3524—794no—
790#3524—794no—
791#3521—794no—
792#3521—794no—
793#3521—794no—
794#3511—792no—
795#3511—792no—
796#3511—792no—
797#3509—792no—
798#3509D7911yescharacteristic, complemented
799#3508—792no—
800#3508—791no—
801#3444—792no—
802#3444—791no—
803C79#6283911yescharacteristic, complemented, Sylow
804#563—794no—
805#563—798no—
806H(3,𝔽4)—794no—
807#560—798no—
808#560—794no—
809#560—794no—
810#559—794no—
811#559—794no—
812#559—794no—
813#559—794no—
814#559—798no—
815#557—794no—
816#557—794no—
817#557C2×D7914yescomplemented
818#556—794no—
819#556—794no—
820#556—794no—
821#556—794no—
822#556—794no—
823#556C2×D7914yes—
824#555—794no—
825#555—794no—
826#555—794no—
827#555—794no—
828#555—798no—
829#554—794no—
830#554—794no—
831#554—794no—
832#553—798no—
833#553—794no—
834#553—794no—
835#553—798no—
836#553—794no—
837#553—794no—
838#553—798no—
839#553—794no—
840#553—794no—
841#552—798no—
842#552—794no—
843#552—798no—
844#552—794no—
845#552—794no—
846#552—798no—
847#552—794no—
848#552C2×D7914yescomplemented
849#552C2×D7914yescomplemented
850#551—798no—
851#551—798no—
852#551—794no—
853#551—794no—
854#550—794no—
855#550—794no—
856#550—794no—
857#548—794no—
858#548—794no—
859#548—794no—
860#548—794no—
861#548—794no—
862#548—794no—
863#547—794no—
864#547—794no—
865#547—794no—
866#546—794no—
867#546—794no—
868#546—794no—
869#546—794no—
870#546—794no—
871#546—794no—
872#542—794no—
873#542—794no—
874#542—798no—
875#542—798no—
876#542—794no—
877#542—794no—
878#542—794no—
879#542—794no—
880#542—798no—
881#541—794no—
882#541—794no—
883#541C2×D7912yescomplemented
884#541C2×D7912yescomplemented
885#540—794no—
886#540—794no—
887#540—798no—
888#540—798no—
889#540—792no—
890#540—792no—
891#540—798no—
892#539—798no—
893#539—798no—
894#539—798no—
895#538—798no—
896#538—798no—
897#538—798no—
898#537—794no—
899#537—794no—
900#537—794no—
901#536—794no—
902#536C2×D7912yes—
903#535—792no—
904#535—794no—
905#533—792no—
906#533—792no—
907#533—792no—
908#533—792no—
909#533—791no—
910#533—791no—
911#533C2×D7912yescomplemented
912#533C2×D7912yescomplemented
913#533C2×D7911yescharacteristic, complemented
914#532—791no—
915#532—792no—
916#532—792no—
917#532—792no—
918#532—792no—
919#532—792no—
920#532—792no—
921#532—792no—
922C2×C4⋊Q8—792no—
923C2×C4⋊Q8C2×D7911yescharacteristic, complemented
924C2×#127—791no—
925#529—794no—
926#529—794no—
927#529—798no—
928#529—794no—
929#529—794no—
930#529—794no—
931#529—792no—
932#529—794no—
933#529—798no—
934#529—792no—
935#529—792no—
936#529—792no—
937#529—792no—
938#529—792no—
939#529—798no—
940C2×#126—798no—
941#525—791no—
942#525—794no—
943#525—794no—
944#525—792no—
945#525—792no—
946#525—791no—
947#525—794no—
948#520—794no—
949#520—794no—
950#520—794no—
951#519—794no—
952#519C2×D7912yescomplemented
953#518—794no—
954#518—792no—
955C4×#41—794no—
956C4×#41—794no—
957C4×#41—794no—
958C4×#41—792no—
959C4×#41—791no—
960C4×#41—792no—
961C4×#41C2×D7911yescharacteristic
962C22×C42—791no—
963C2×#41—794no—
964C2×#41—794no—
965C2×#41—794no—
966C2×#41—794no—
967C2×#41—792no—
968C2×#41—792no—
969C2×#41—791no—
970C2×#41—794no—
971C2×#41—794no—
972C2×#41C22×D7911yescharacteristic
973C22×Q8—794no—
974C22×Q8C22×D7912yes—
975C22×D4—792no—
976C22×D4—794no—
977C23×C4—791no—
978C23×C4—792no—
979C4⋊Q8—794no—
980C4⋊Q8—791no—
981C4⋊Q8—794no—
982C4⋊Q8—794no—
983C4⋊Q8—792no—
984C4⋊Q8—798no—
985C4⋊Q8—792no—
986C4⋊Q8C22×D7912yes—
987C4⋊Q8C22×D7912yes—
988C4⋊Q8C22×D7912yes—
989C4⋊Q8C22×D7914yes—
990C4⋊Q8C22×D7914yes—
991#127—791no—
992#127—794no—
993#127—792no—
994#127—794no—
995#127—792no—
996#127—798no—
997#126—798no—
998#126—798no—
999#126—798no—
1000#126—792no—
1001#126—792no—
1002#126—798no—
1003#126—798no—
1004#126—798no—
1005#126—798no—
1006#126—792no—
1007#126—798no—
1008#126—798no—
1009#126—792no—
1010#126—798no—
1011#126—798no—
1012#126—798no—
1013#126C22×D7918yes—
1014#126C22×D7918yes—
1015#125—792no—
1016#125—792no—
1017#125—792no—
1018#125—794no—
1019#125—794no—
1020#125—798no—
1021#125—798no—
1022#125—794no—
1023#125—798no—
1024#125—792no—
1025#125—798no—
1026#125C22×D7914yes—
1027#125C22×D7918yes—
1028#125C22×D7914yes—
1029#125C22×D7912yes—
1030#125C22×D7918yes—
1031#124—794no—
1032#124—794no—
1033#124—791no—
1034#124—798no—
1035#124—794no—
1036#124—794no—
1037#124—794no—
1038#124—798no—
1039#124—791no—
1040#124—792no—
1041#124—792no—
1042#124—798no—
1043#124—798no—
1044#124—798no—
1045#124—794no—
1046#124—798no—
1047#124—794no—
1048#124—798no—
1049#124—798no—
1050#124C22×D7914yes—
1051#123—791no—
1052#123—791no—
1053#123—798no—
1054#123—798no—
1055#123—792no—
1056#123—792no—
1057#123—798no—
1058#123—798no—
1059#123—798no—
1060#123—798no—
1061#123—798no—
1062#123—798no—
1063#123—798no—
1064#123—798no—
1065#123—798no—
1066#123—798no—
1067#123—798no—
1068#123—798no—
1069#123—792no—
1070#123—792no—
1071#123—792no—
1072#123—798no—
1073#123—798no—
1074#123—798no—
1075#123C22×D7914yes—
1076#123C22×D7914yes—
1077C22⋊Q8—794no—
1078C22⋊Q8—792no—
1079C22⋊Q8—794no—
1080C22⋊Q8—798no—
1081C22⋊Q8—794no—
1082C22⋊Q8—798no—
1083C22⋊Q8—794no—
1084C22⋊Q8—794no—
1085C22⋊Q8—792no—
1086C22⋊Q8—792no—
1087C22⋊Q8—792no—
1088C22⋊Q8—794no—
1089C22⋊Q8—798no—
1090C22⋊Q8—798no—
1091C22⋊Q8—794no—
1092C22⋊Q8—798no—
1093C22⋊Q8—798no—
1094C22⋊Q8—798no—
1095C22⋊Q8—798no—
1096C22⋊Q8—798no—
1097C22⋊Q8—792no—
1098C22⋊Q8—792no—
1099C22⋊Q8C22×D7914yes—
1100C22⋊Q8C22×D7914yes—
1101C22⋊Q8C22×D7914yes—
1102C22⋊Q8C22×D7914yes—
1103C22⋊Q8C22×D7914yes—
1104#121—792no—
1105#121—792no—
1106#121—792no—
1107#121—794no—
1108#121—794no—
1109#121—794no—
1110#121—794no—
1111#121—798no—
1112#121—798no—
1113#121—794no—
1114#121—794no—
1115#121—792no—
1116#121—794no—
1117#121—794no—
1118#121—798no—
1119#121—798no—
1120#121—794no—
1121#121—794no—
1122#121—794no—
1123#121—794no—
1124#121—798no—
1125#121—798no—
1126#121—798no—
1127#121—798no—
1128#121—798no—
1129#121—792no—
1130#121—792no—
1131#121—798no—
1132#121—798no—
1133#121—798no—
1134#121—798no—
1135#121—798no—
1136#121—798no—
1137#120—791no—
1138#120—791no—
1139#120—794no—
1140#120—794no—
1141#120—792no—
1142#120—798no—
1143#120—798no—
1144#120—798no—
1145C4×Q8—794no—
1146C4×Q8—794no—
1147C4×Q8—794no—
1148C4×Q8—794no—
1149C4×Q8—794no—
1150C4×Q8—798no—
1151C4×Q8—794no—
1152C4×Q8—792no—
1153C4×Q8—792no—
1154C4×Q8—792no—
1155C4×Q8—792no—
1156C4×Q8—792no—
1157C4×Q8—798no—
1158C4×Q8—794no—
1159C4×Q8C22×D7914yes—
1160C4×Q8C22×D7914yes—
1161C4×Q8C22×D7912yes—
1162C4×Q8C22×D7914yes—
1163C4×Q8C22×D7918yes—
1164C4×Q8C22×D7914yes—
1165C4×Q8C22×D7914yes—
1166C4×D4—792no—
1167C4×D4—792no—
1168C4×D4—792no—
1169C4×D4—792no—
1170C4×D4—792no—
1171C4×D4—792no—
1172C4×D4—792no—
1173C4×D4—792no—
1174C4×D4—792no—
1175C4×D4—792no—
1176C4×D4—798no—
1177C4×D4—798no—
1178C4×D4—794no—
1179C4×D4—794no—
1180C4×D4—798no—
1181C4×D4—798no—
1182C4×D4—794no—
1183C4×D4—794no—
1184C4×D4—798no—
1185C4×D4—794no—
1186C4×D4—794no—
1187C4×D4—798no—
1188C4×D4—798no—
1189C4×D4—794no—
1190C4×D4—794no—
1191C4×D4—798no—
1192C4×D4—798no—
1193C4×D4—794no—
1194C4×D4—798no—
1195C4×D4—792no—
1196C4×D4—792no—
1197C4×D4—792no—
1198C4×D4—792no—
1199C4×D4—798no—
1200C4×D4—794no—
1201C4×D4—792no—
1202C4×D4—798no—
1203C4×D4—798no—
1204C4×D4—794no—
1205C4×D4—798no—
1206C4×D4—798no—
1207C4×D4—794no—
1208C4×D4C22×D7912yes—
1209C4×D4C22×D7912yes—
1210C4×D4C22×D7912yes—
1211#117—792no—
1212#117—792no—
1213#117—791no—
1214#117—792no—
1215#117—794no—
1216#117—794no—
1217#117—798no—
1218#117—798no—
1219#117—798no—
1220#117—794no—
1221#117—798no—
1222#117—792no—
1223#117—792no—
1224#117—792no—
1225#117—792no—
1226#117—792no—
1227#117—798no—
1228#117—798no—
1229#117—798no—
1230#117—798no—
1231#117C22×D7914yes—
1232#117C22×D7911yescharacteristic
1233#117C22×D7911yescharacteristic
1234#117C22×D7911yescharacteristic
1235#117C22×D7914yes—
1236#117C22×D7918yes—
1237#117C22×D7912yes—
1238C2×C4⋊C4—798no—
1239C2×C4⋊C4—798no—
1240C2×C4⋊C4—798no—
1241C2×C4⋊C4—794no—
1242C2×C4⋊C4—794no—
1243C2×C4⋊C4C22×D7914yes—
1244C2×C22⋊C4—798no—
1245C2×C22⋊C4—798no—
1246C2×C22⋊C4—798no—
1247C2×C42—792no—
1248C2×C42—791no—
1249C2×C42—798no—
1250C2×C42—792no—
1251C2×C42—792no—
1252C2×C42—792no—
1253C2×C42—792no—
1254C2×C42—792no—
1255C2×C42C22×D7911yescharacteristic
1256C2×C42C22×D7911yescharacteristic
1257C2×C42C22×D7911yescharacteristic
1258C24—794no—
1259C24—791no—
1260#41—42no—
1261#41—3168no—
1262#41—3168no—
1263#41—3162no—
1264#41—3164no—
1265#41—3164no—
1266#41—3168no—
1267#41—3168no—
1268#41—3168no—
1269#41—3168no—
1270C2×Q8—44no—
1271C2×Q8—3168no—
1272C2×Q8—792no—
1273C2×Q8—791no—
1274C2×Q8—798no—
1275C2×Q8—792no—
1276C2×Q8—794no—
1277C2×Q8C23×D7914yes—
1278C2×Q8C23×D7914yes—
1279C2×Q8C23×D7914yes—
1280C2×Q8C23×D7911yescharacteristic
1281C2×D4—3164no—
1282C2×D4—3168no—
1283C2×D4—792no—
1284C2×D4—792no—
1285C2×D4—798no—
1286C2×D4—792no—
1287C2×D4—792no—
1288C2×D4—798no—
1289C2×D4—792no—
1290C2×D4—798no—
1291C2×D4—798no—
1292C2×D4—792no—
1293C2×D4—798no—
1294C2×D4—798no—
1295C2×D4—792no—
1296C2×D4—791no—
1297C2×D4—794no—
1298C2×D4—798no—
1299C2×D4—794no—
1300C2×D4—794no—
1301C2×D4—794no—
1302C2×D4C23×D7911yescharacteristic
1303C2×D4C23×D7911yescharacteristic
1304C2×D4C23×D7911yescharacteristic
1305C22×C4—3162no—
1306C22×C4—3164no—
1307C22×C4—791no—
1308C22×C4—792no—
1309C22×C4—792no—
1310C22×C4—792no—
1311C22×C4—792no—
1312C22×C4—798no—
1313C22×C4—798no—
1314C22×C4—798no—
1315C22×C4—798no—
1316C22×C4—798no—
1317C22×C4—798no—
1318C22×C4—798no—
1319C22×C4—792no—
1320C22×C4—792no—
1321C22×C4—792no—
1322C22×C4—792no—
1323C22×C4—792no—
1324C22×C4—792no—
1325C22×C4C23×D7911yescharacteristic
1326C22×C4C23×D7912yes—
1327C22×C4C23×D7912yes—
1328C22×C4C23×D7911yescharacteristic
1329C22×C4C23×D7912yes—
1330C22×C4C23×D7911yescharacteristic
1331C22×C4C23×D7914yes—
1332C4⋊C4—792no—
1333C4⋊C4—792no—
1334C4⋊C4—798no—
1335C4⋊C4—798no—
1336C4⋊C4—798no—
1337C4⋊C4—798no—
1338C4⋊C4—792no—
1339C4⋊C4—792no—
1340C4⋊C4—792no—
1341C4⋊C4—792no—
1342C4⋊C4—792no—
1343C4⋊C4—792no—
1344C4⋊C4—798no—
1345C4⋊C4—792no—
1346C4⋊C4—792no—
1347C4⋊C4—798no—
1348C4⋊C4—792no—
1349C4⋊C4—794no—
1350C4⋊C4—794no—
1351C4⋊C4—798no—
1352C4⋊C4—798no—
1353C4⋊C4—792no—
1354C4⋊C4—792no—
1355C4⋊C4—792no—
1356C4⋊C4—792no—
1357C4⋊C4—798no—
1358C4⋊C4C23×D7918yes—
1359C4⋊C4C23×D7914yes—
1360C4⋊C4C23×D7918yes—
1361C4⋊C4C23×D7914yes—
1362C4⋊C4C23×D7918yes—
1363C4⋊C4C23×D7914yes—
1364C4⋊C4C23×D7914yes—
1365C4⋊C4C23×D7918yes—
1366C4⋊C4C23×D7918yes—
1367C4⋊C4C23×D7912yes—
1368C4⋊C4C23×D7912yes—
1369C4⋊C4C23×D7912yes—
1370C4⋊C4C23×D7918yes—
1371C22⋊C4—792no—
1372C22⋊C4—792no—
1373C22⋊C4—794no—
1374C22⋊C4—792no—
1375C22⋊C4—792no—
1376C22⋊C4—791no—
1377C22⋊C4—791no—
1378C22⋊C4—798no—
1379C22⋊C4—798no—
1380C22⋊C4—798no—
1381C22⋊C4—798no—
1382C22⋊C4—798no—
1383C22⋊C4—798no—
1384C22⋊C4—792no—
1385C22⋊C4—792no—
1386C22⋊C4—798no—
1387C22⋊C4—792no—
1388C22⋊C4—792no—
1389C22⋊C4—792no—
1390C22⋊C4—792no—
1391C22⋊C4—792no—
1392C22⋊C4—792no—
1393C22⋊C4—798no—
1394C22⋊C4—798no—
1395C22⋊C4—798no—
1396C22⋊C4—798no—
1397C22⋊C4—798no—
1398C22⋊C4—798no—
1399C22⋊C4—798no—
1400C22⋊C4—798no—
1401C22⋊C4—792no—
1402C22⋊C4—792no—
1403C22⋊C4C23×D7912yes—
1404C22⋊C4C23×D7918yes—
1405C22⋊C4C23×D7912yes—
1406C22⋊C4C23×D7914yes—
1407C22⋊C4C23×D7918yes—
1408C22⋊C4C23×D7912yes—
1409C42—792no—
1410C42—791no—
1411C42—792no—
1412C42—792no—
1413C42—792no—
1414C42—792no—
1415C42—791no—
1416C42—798no—
1417C42—798no—
1418C42—792no—
1419C42—792no—
1420C42—792no—
1421C42—798no—
1422C42—794no—
1423C42C23×D7911yescharacteristic
1424C42C23×D7911yescharacteristic
1425C42C23×D7912yes—
1426C42C23×D7918yes—
1427C42C23×D7912yes—
1428C42C23×D7912yes—
1429C42C23×D7911yescharacteristic
1430C42C23×D7911yescharacteristic
1431C42C23×D7914yes—
1432C42C23×D7918yes—
1433C23—3161no—
1434C23—3162no—
1435C23—3164no—
1436C23—3168no—
1437C23—798no—
1438C23—792no—
1439C23—792no—
1440C23C24×D7911yescharacteristic
1441C23C24×D7911yescharacteristic
1442C23C24×D7911yescharacteristic
1443Q8—28no—
1444Q8—28no—
1445Q8—44no—
1446Q8—41no—
1447Q8—3168no—
1448Q8—3161no—
1449Q8—3162no—
1450Q8—3162no—
1451Q8—1588no—
1452D4—41no—
1453D4—41no—
1454D4—41no—
1455D4—3164no—
1456D4—3168no—
1457D4—3161no—
1458D4—3168no—
1459D4—3168no—
1460D4—3162no—
1461D4—3162no—
1462D4—3168no—
1463D4—3168no—
1464D4—3162no—
1465D4—3162no—
1466D4—3168no—
1467D4—3168no—
1468D4—3162no—
1469D4—3162no—
1470D4—3162no—
1471D4—1588no—
1472D4—1588no—
1473D4—1588no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—24no—
1479C2×C4—24no—
1480C2×C4—44no—
1481C2×C4—3162no—
1482C2×C4—3162no—
1483C2×C4—3162no—
1484C2×C4—3168no—
1485C2×C4—3168no—
1486C2×C4—3168no—
1487C2×C4—3168no—
1488C2×C4—3168no—
1489C2×C4—3168no—
1490C2×C4—3168no—
1491C2×C4—3161no—
1492C2×C4—3162no—
1493C2×C4—792no—
1494C2×C4—792no—
1495C2×C4—792no—
1496C2×C4—798no—
1497C2×C4—792no—
1498C2×C4—792no—
1499C2×C4—792no—
1500C2×C4—1584no—
1501C2×C4—1584no—
1502C2×C4—1584no—
1503C2×C4—1584no—
1504C2×C4—1584no—
1505C2×C4—1584no—
1506C2×C4C24×D7911yescharacteristic
1507C2×C4C24×D7912yes—
1508C2×C4C24×D7911yescharacteristic
1509C2×C4C24×D7918yes—
1510C2×C4C24×D7918yes—
1511C2×C4C24×D7911yescharacteristic
1512C2×C4C24×D7912yes—
1513C2×C4C24×D7912yes—
1514C2×C4C24×D7911yescharacteristic
1515C2×C4C24×D7912yes—
1516C22—21no—
1517C22—21no—
1518C22—21no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—3164no—
1523C22—1588no—
1524C22—1582no—
1525C22—1582no—
1526C22—1582no—
1527C22—1588no—
1528C22—1588no—
1529C22—1582no—
1530C22—1582no—
1531C22—1582no—
1532C22—12644no—
1533C22C25×D7911yescharacteristic
1534C4—21no—
1535C4—21no—
1536C4—21no—
1537C4—28no—
1538C4—22no—
1539C4—22no—
1540C4—22no—
1541C4—28no—
1542C4—1582no—
1543C4—1582no—
1544C4—1582no—
1545C4—1582no—
1546C4—1588no—
1547C4—1582no—
1548C4—1582no—
1549C4#1909939912yes—
1550C4#1909940014yes—
1551C2—41no—
1552C2—41no—
1553C2—41no—
1554C2—3162no—
1555C2—3168no—
1556C2—3162no—
1557C2C2×#1909939911yescharacteristic
1558C2C2×#1909940012yes—
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3509C2
hypercenter#3509D79
hypocenterC79#62839
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3509

Complements

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

NH ≅ G/Ntype
1. #23777908C2semidirect
2. #23777907C2semidirect
3. #23777829C2semidirect
4. #23777828C2semidirect
5. #23777677C2semidirect
6. #23777676C2semidirect
7. #23777662C2semidirect
8. #23777661C2semidirect
9. #23777512C2semidirect
10. #23777511C2semidirect
11. #23777506C2semidirect
12. #23777475C2semidirect
13. #23777474C2semidirect
14. #23777473C2semidirect
15. #23777313C2semidirect
16. #23777312C2semidirect
17. #23777312C2semidirect
18. #23777279C2semidirect
19. #23777277C2semidirect
20. #23777276C2semidirect
21. #23776697C2semidirect
22. #23776693C2semidirect
23. C79×#3509C2semidirect
24. #19099317C22semidirect
25. #19099312C22semidirect
27. #19099304C22semidirect
28. #19099303C22semidirect
29. #19099303C22semidirect
30. #19099298C22semidirect
31. #19099298C22semidirect
32. #19099298C22semidirect
33. #19099298C22semidirect
34. #19099297C22semidirect
35. #19099290C22semidirect
36. #19099289C22semidirect
37. #19099287C22semidirect
38. #19099285C22semidirect
39. #19099285C22semidirect
42. #19099279C22semidirect
43. #19099279C22semidirect
44. #19099276C22semidirect
45. #19099276C22semidirect
46. #19099276C22semidirect
47. #19099274C22semidirect
48. #19099269C22semidirect
49. #19099269C22semidirect
50. #19099266C22semidirect
51. #19099266C22semidirect
52. #19099266C22semidirect
53. #19099264C22semidirect
54. #19099261C22semidirect
55. #19099261C22semidirect
56. #19099257C22semidirect
57. #19099257C22semidirect
58. #19099257C22semidirect
59. #19099254C22semidirect
60. #19099254C22semidirect
61. #19099252C22semidirect
62. #19099251C22semidirect
63. #19099251C22semidirect
64. #19099247C22semidirect
65. #19099245C22semidirect
67. #19099241C22semidirect
69. #19099238C22semidirect
73. #19099225C22semidirect
74. #19099225C22semidirect
75. #19099224C22semidirect
76. #19099224C22semidirect
77. #19099223C22semidirect
78. #19099223C22semidirect
79. #19099216C22semidirect
80. #19099215C22semidirect
81. #19099215C22semidirect
83. #19099209C22semidirect
86. #19099204C22semidirect
87. #19099204C22semidirect
88. #19099187C22semidirect
89. #19099187C22semidirect
90. #19099187C22semidirect
91. #19099186C22semidirect
92. #19099186C22semidirect
93. #19099185C22semidirect
94. #19099185C22semidirect
95. #19099185C22semidirect
96. #19099179C22semidirect
97. #19099173C22semidirect
98. #19099171C22semidirect
100. #19099169C22semidirect
101. #19099169C22semidirect
103. #19099168C22semidirect
104. #19099168C22semidirect
105. #19099165C22semidirect
106. #19099161C22semidirect
107. #19099161C22semidirect
108. #19099154C22semidirect
112. #19099144C22semidirect
113. #19099143C22semidirect
114. #19099143C22semidirect
118. #19099120C22semidirect
119. #19099118C22semidirect
120. #19099118C22semidirect
121. #19099118C22semidirect
122. #19099117C22semidirect
123. #19099116C22semidirect
126. #19099114C22semidirect
127. #19099114C22semidirect
129. #19099113C22semidirect
132. C4⋊Q8×D79C22semidirect
133. C2×#14579158C22semidirect
134. #19099100C22semidirect
135. #19099100C22semidirect
136. #19099100C22semidirect
137. #19099100C22semidirect
138. #19099099C22semidirect
139. #19099099C22semidirect
140. #19099098C22semidirect
141. #19099098C22semidirect
142. #19099098C22semidirect
145. #19099093C22semidirect
147. #19099091C22semidirect
148. #19099091C22semidirect
149. #126×D79C22semidirect
150. #19099076C22semidirect
151. #19099076C22semidirect
152. #19099075C22semidirect
153. #19099075C22semidirect
155. #19099072C22semidirect
157. #19099045C22semidirect
158. #19099045C22semidirect
159. #19099044C22semidirect
160. #19099039C22semidirect
161. #19099037C22semidirect
162. #19099037C22semidirect
163. C4×#11929625C22semidirect
164. C4×#11929625C22semidirect
166. C4×#11929624C22semidirect
167. C4×#11929624C22semidirect
168. #19099031C22semidirect
169. C2×C42×D79C22semidirect
170. #557×C79C22semidirect
172. #552×C79C22semidirect
173. #552×C79C22semidirect
174. #541×C79C22semidirect
175. #541×C79C22semidirect
177. #533×C79C22semidirect
178. #533×C79C22semidirect
179. #533×C79C22semidirect
180. C2×C4⋊Q8×C79C22semidirect
181. #519×C79C22semidirect
798. #3509D79semidirect
803. C79#62839semidirect
817. #557C2×D79semidirect
848. #552C2×D79semidirect
849. #552C2×D79semidirect
883. #541C2×D79semidirect
884. #541C2×D79semidirect
911. #533C2×D79semidirect
912. #533C2×D79semidirect
913. #533C2×D79semidirect
923. C2×C4⋊Q8C2×D79semidirect
952. #519C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779082
#237779072
#237778292
#237778282
#237776772
#237776762
#237776622
#237776612
#237775122
#237775112
#237775062
#237774752
#237774742
#237774732
#237773132
#237773122
#237772792
#237772772
#237772762
#237766972
#237766932
C79×#35092
#6283979