Finite Group Databasebeta

← #35197134

Subgroups — #35197134

Order 20224.

6528 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778049C214yesmaximal, complemented
2#23778028C214yesmaximal, complemented
3#23777906C214yesmaximal, complemented
4#23777888C212yesmaximal, complemented
5#23777871C212yesmaximal, complemented
6#23777841C212yesmaximal, complemented
7#23777744C212yesmaximal, complemented
8#23777609C214yesmaximal, complemented
9#23777496C212yesmaximal, complemented
10#23777485C212yesmaximal, complemented
11#23777443C214yesmaximal, complemented
12#23777409C212yesmaximal, complemented
13#23777373C212yesmaximal, complemented
14#23777372C214yesmaximal, complemented
15#23777298C212yesmaximal, complemented
16#23777267C211yesmaximal, characteristic, complemented
17#23777265C214yesmaximal, complemented
18#23777254C211yesmaximal, characteristic, complemented
19#23777221C212yesmaximal, complemented
20#23777205C211yesmaximal, characteristic, complemented
21#23777201C211yesmaximal, characteristic, complemented
22#23777152C212yesmaximal, complemented
23#23777147C214yesmaximal, complemented
24#23777135C212yesmaximal, complemented
25#23776696C211yesmaximal, characteristic, complemented
26C2×#19099097C211yesmaximal, characteristic, complemented
27C2×#533×C79C211yesmaximal, characteristic, complemented
28#19099314C2218yescomplemented
29#19099312C2218yescomplemented
30#19099312C2218yescomplemented
31#19099309C2218yescomplemented
32#19099298C2214yescomplemented
33#19099298C2214yescomplemented
34#19099298C2212yescomplemented
35#19099298C2214yescomplemented
36Q8×Dic158C2212yescomplemented
37#19099293C2212yescomplemented
38#19099292C2212yescomplemented
39#19099291C2212yescomplemented
40#19099291C2214yescomplemented
41#19099291C2214yescomplemented
42#19099291C2214yescomplemented
43#19099290C2214yescomplemented
44#19099288C2212yescomplemented
45#19099287C2212yescomplemented
46#19099286C2214yescomplemented
47#19099286C2214yescomplemented
48#19099286C2212yescomplemented
49#19099286C2214yescomplemented
50#19099285C2218yescomplemented
51#19099285C2218yescomplemented
52#19099284C2214yescomplemented
53#19099281C2214yescomplemented
54#19099279C2212yescomplemented
55#19099276C2214yes—
56#19099274C2212yescomplemented
57#19099274C2212yescomplemented
58#19099273C2214yescomplemented
59#19099273C2212yescomplemented
60#19099273C2214yescomplemented
61#19099273C2214yescomplemented
62#19099269C2214yescomplemented
63#19099268C2214yescomplemented
64#19099267C2218yes—
65#19099267C2218yes—
66#19099266C2214yescomplemented
67#19099261C2214yes—
68#19099257C2214yes—
69#19099254C2218yescomplemented
70#19099254C2218yescomplemented
71#19099252C2214yescomplemented
72#19099251C2214yescomplemented
73#19099248C2218yescomplemented
74#19099248C2214yescomplemented
75#19099248C2214yescomplemented
76#19099247C2214yescomplemented
77#19099246C2218yes—
78#19099245C2218yescomplemented
79#19099245C2218yescomplemented
80#19099240C2218yes—
81#19099240C2218yes—
82#19099239C2218yes—
83#19099237C2218yes—
84#19099235C2212yescomplemented
85Q8×D316C2212yescomplemented
86#19099228C2212yescomplemented
87Q8×C22⋊D79C2214yescomplemented
88#19099224C2214yescomplemented
89#19099223C2214yescomplemented
90#19099216C2212yescomplemented
91#19099215C2214yescomplemented
92#19099214C2214yes—
93#19099214C2218yescomplemented
94#19099214C2214yescomplemented
95#19099203C2218yes—
96#19099192C2214yes—
97#19099191C2212yes—
98#19099191C2212yes—
99#19099190C2214yescomplemented
100#19099190C2214yescomplemented
101#19099190C2214yescomplemented
102#19099188C2214yes—
103#19099187C2214yescomplemented
104#19099187C2214yescomplemented
105#19099187C2214yescomplemented
106#19099185C2218yescomplemented
107#19099185C2214yescomplemented
108#19099184C2214yes—
109#19099184C2214yescomplemented
110#19099183C2218yescomplemented
111#19099183C2218yescomplemented
112#19099175C2214yescomplemented
113#19099174C2214yescomplemented
114#19099172C2218yescomplemented
115#19099171C2218yescomplemented
116#19099171C2214yescomplemented
117#19099168C2214yes—
118#19099162C2214yes—
119#19099161C2218yescomplemented
120#19099160C2218yescomplemented
121#19099160C2218yescomplemented
122#19099159C2218yescomplemented
123#19099159C2218yescomplemented
124#19099153C2214yes—
125#19099139C2212yes—
126#19099138C2214yescomplemented
127#19099137C2218yescomplemented
128#19099132C2212yes—
129#19099120C2211yescharacteristic
130#19099120C2211yescharacteristic, complemented
131#19099120C2214yescomplemented
132#19099120C2211yescharacteristic, complemented
133#19099119C2214yescomplemented
134#19099115C2214yes—
135#19099113C2214yes—
136#19099113C2211yescharacteristic
137#19099113C2211yescharacteristic, complemented
138#19099113C2211yescharacteristic, complemented
139#19099099C2214yes—
140#19099098C2214yescomplemented
141#19099098C2214yescomplemented
142#19099097C2212yes—
143#19099097C2212yes—
144#19099097C2212yes—
145#19099097C2212yes—
146#19099097C2212yes—
147#19099097C2214yes—
148#19099097C2212yes—
149#19099097C2212yes—
150#19099097C2212yes—
151#19099097C2212yes—
152#19099097C2212yes—
153#19099097C2212yescomplemented
154#19099097C2212yescomplemented
155#19099097C2212yescomplemented
156#19099097C2214yescomplemented
157#19099097C2212yescomplemented
158C2×#14579155C2212yes—
159C2×#14579153C2211yescharacteristic
160#125×D79C2214yescomplemented
161C2×#14579149C2211yescharacteristic
162#19099076C2214yes—
163#19099074C2212yes—
164#19099074C2212yes—
165#19099074C2212yes—
166C2×#14579144C2212yes—
167C2×#14579140C2211yescharacteristic
168C22⋊Q8×D79C2214yes—
169C2×#14579135C2211yescharacteristic
170#19099045C2214yescomplemented
171#19099044C2218yescomplemented
172#19099043C2212yes—
173#19099043C2212yes—
174#19099040C2212yes—
175#19099039C2214yescomplemented
176#19099037C2212yes—
177C4×#11929624C2212yes—
178C4×#11929624C2212yescomplemented
179C4×#11929624C2212yescomplemented
180C2×C4×Dic158C2211yescharacteristic
181C2×C4×D316C2211yescharacteristic
182C2×C4×C22⋊D79C2212yes—
183C2×#14579118C2212yes—
184#533×C79C2212yes—
185#533×C79C2212yes—
186#533×C79C2211yescharacteristic
187#533×C79C2211yescharacteristic
188#533×C79C2212yes—
189#533×C79C2212yescomplemented
190#533×C79C2212yescomplemented
191#533×C79C2211yescharacteristic, complemented
192#533×C79C2212yescomplemented
193#533×C79C2211yescharacteristic, complemented
194C2×C4⋊Q8×C79C2211yescharacteristic, complemented
195C2×C4⋊Q8×C79C2211yescharacteristic, complemented
196C2×#125×C79C2212yescomplemented
197C2×C22⋊Q8×C79C2212yes—
198C2×C22⋊Q8×C79C2212yes—
199C2×C4×Q8×C79C2212yescomplemented
200C2×C4×Q8×C79C2212yescomplemented
201C2×#117×C79C2212yes—
202C22×C42×C79C2211yescharacteristic
203C2×#11929625C2314yes—
204C2×#11929624C2312yes—
205C2×#11929624C2318yes—
206C2×#11929624C2312yes—
207C2×#11929624C2312yes—
208C22×Dic158C2311yescharacteristic
209C2×Q8×D79C2314yes—
210C22×D316C2311yescharacteristic
211C22×C22⋊D79C2312yes—
212C22×C4×D79C2312yes—
213#14579161C2314yes—
214#14579161C2314yes—
215#14579161C2314yes—
216#14579161C2311yescharacteristic
217#14579161C2311yescharacteristic
218#14579161C2311yescharacteristic
219#14579160C2318yes—
220#14579160C2314yes—
221#14579160C2314yes—
222#14579160C2314yes—
223#14579159C2318yes—
224#14579159C2318yes—
225#14579159C2314yes—
226#14579159C2318yes—
227#14579158C2314yes—
228#14579158C2311yescharacteristic
229#14579156C2318yes—
230#14579156C2318yes—
231#14579156C2318yes—
232#14579156C2318yes—
233#14579156C2318yes—
234#14579156C2318yes—
235#14579156C2318yes—
236#14579156C2318yes—
237#14579156C2318yes—
238#14579155C2314yes—
239#14579155C2314yes—
240#14579155C2318yes—
241#14579155C2318yes—
242#14579155C2314yes—
243#14579155C2314yes—
244#14579155C2314yes—
245#14579155C2314yes—
246#14579154C2318yes—
247#14579154C2318yes—
248#14579153C2314yes—
249#14579153C2312yes—
250#14579153C2318yes—
251#14579153C2312yes—
252#14579153C2314yes—
253#14579153C2312yes—
254#14579153C2312yes—
255#14579153C2312yes—
256#14579153C2312yes—
257#14579153C2312yes—
258#14579152C2318yes—
259#14579152C2314yes—
260#14579152C2314yes—
261#14579152C2314yes—
262#14579151C2318yes—
263#14579151C2318yes—
264#14579151C2318yes—
265#14579151C2318yes—
266#14579151C2318yes—
267#14579151C2318yes—
268#14579151C2318yes—
269#14579151C2318yes—
270#14579151C2318yes—
271#14579150C2318yes—
272#14579150C2318yes—
273#14579150C2314yes—
274#14579150C2318yes—
275#14579149C2312yes—
276#14579149C2314yes—
277#14579149C2314yes—
278#14579149C2312yes—
279#14579149C2318yes—
280#14579149C2312yes—
281#14579149C2312yes—
282#14579149C2312yes—
283#14579149C2312yes—
284#14579149C2312yes—
285#14579147C2318yes—
286#14579147C2318yes—
287#14579146C2318yes—
288#14579146C2318yes—
289#14579146C2318yes—
290#14579146C2318yes—
291#14579146C2318yes—
292#14579146C2318yes—
293#14579146C2318yes—
294#14579146C2318yes—
295#14579146C2318yes—
296#14579145C2318yes—
297#14579144C2314yes—
298#14579144C2314yes—
299#14579144C2318yes—
300#14579144C2318yes—
301#14579144C2314yes—
302#14579144C2314yes—
303#14579144C2314yes—
304#14579144C2314yes—
305#14579144C2314yes—
306#14579143C2318yes—
307#14579143C2318yes—
308#14579141C2314yes—
309#14579141C2314yes—
310#14579141C2318yes—
311#14579141C2314yes—
312#14579140C2318yes—
313#14579140C2312yes—
314#14579140C2312yes—
315#14579140C2312yes—
316#14579140C2312yes—
317#14579140C2312yes—
318#14579140C2312yes—
319#14579140C2312yes—
320#14579140C2312yes—
321#14579140C2312yes—
322#14579140C2312yes—
323#14579139C2318yes—
324#14579139C2318yes—
325#14579139C2318yes—
326#14579139C2318yes—
327#14579139C2318yes—
328#14579139C2318yes—
329#14579139C2318yes—
330#14579139C2318yes—
331#14579139C2318yes—
332#14579138C2318yes—
333#14579138C2318yes—
334#14579137C2318yes—
335#14579137C2318yes—
336#14579137C2318yes—
337#14579137C2318yes—
338#14579137C2318yes—
339#14579137C2318yes—
340#14579137C2314yes—
341#14579137C2314yes—
342#14579136C2318yes—
343#14579136C2314yes—
344#14579136C2314yes—
345#14579136C2314yes—
346#14579135C2312yes—
347#14579135C2318yes—
348#14579135C2312yes—
349#14579135C2312yes—
350#14579135C2312yes—
351#14579135C2312yes—
352#14579135C2312yes—
353#14579135C2312yes—
354#14579135C2312yes—
355#14579135C2312yes—
356#14579135C2312yes—
357#14579134C2318yes—
358#14579134C2318yes—
359#14579131C2318yes—
360#14579130C2314yes—
361Q8×Dic79C2314yes—
362Q8×Dic79C2314yes—
363C4×Dic158C2312yes—
364C4×Dic158C2318yes—
365C4×Dic158C2312yes—
366C4×Dic158C2314yes—
367C4×Dic158C2314yes—
368C4×Dic158C2314yes—
369C4×Dic158C2314yes—
370C4×Dic158C2312yes—
371C4×Dic158C2312yes—
372C4×Dic158C2312yes—
373C4×Dic158C2312yes—
374C4×Dic158C2312yes—
375C4×Dic158C2312yes—
376C4×Dic158C2312yes—
377C4×Dic158C2312yes—
378#14579126C2318yes—
379#14579126C2318yes—
380#14579126C2318yes—
381#14579126C2314yes—
382#14579126C2314yes—
383#14579126C2314yes—
384C4×D316C2312yes—
385C4×D316C2314yes—
386C4×D316C2314yes—
387C4×D316C2314yes—
388C4×D316C2314yes—
389C4×D316C2312yes—
390C4×D316C2318yes—
391C4×D316C2312yes—
392C4×D316C2312yes—
393C4×D316C2312yes—
394C4×D316C2312yes—
395C4×D316C2312yes—
396C4×D316C2312yes—
397C4×D316C2312yes—
398C4×D316C2312yes—
399#14579123C2318yes—
400#14579123C2318yes—
401#14579123C2318yes—
402#14579123C2314yes—
403#14579123C2314yes—
404#14579123C2314yes—
405C4×C22⋊D79C2314yes—
406C4×C22⋊D79C2314yes—
407C4×C22⋊D79C2314yes—
408C4×C22⋊D79C2314yes—
409C4×C22⋊D79C2318yes—
410C4×C22⋊D79C2318yes—
411C4×C22⋊D79C2314yes—
412C4×C22⋊D79C2314yes—
413C4×C22⋊D79C2314yes—
414C4×C22⋊D79C2314yes—
415C4×C22⋊D79C2314yes—
416C4×C22⋊D79C2314yes—
417(C22⋊D79)⋊C4C2318yes—
418(C22⋊D79)⋊C4C2318yes—
419#14579120C2318yes—
420#14579120C2312yes—
421#14579120C2312yes—
422#14579120C2312yes—
423#14579119C2318yes—
424#14579119C2318yes—
425#14579119C2318yes—
426#14579119C2314yes—
427#14579119C2314yes—
428#14579119C2314yes—
429#14579118C2314yes—
430#14579118C2314yes—
431#14579118C2318yes—
432#14579118C2318yes—
433#14579118C2314yes—
434#14579118C2314yes—
435#14579118C2314yes—
436#14579118C2314yes—
437#14579118C2314yes—
438#14579117C2318yes—
439C2×C4⋊Dic79C2311yescharacteristic
440C2×C4⋊Dic79C2311yescharacteristic
441C2×Dic79⋊C4C2312yes—
442C2×Dic79⋊C4C2312yes—
443C2×Dic79⋊C4C2312yes—
444C2×Dic79⋊C4C2312yes—
445C4⋊C4×D79C2318yes—
446C4⋊C4×D79C2318yes—
447C4⋊C4×D79C2318yes—
448C4⋊C4×D79C2314yes—
449C4⋊C4×D79C2314yes—
450C4⋊C4×D79C2314yes—
451C2×C22⋊Dic79C2312yes—
452C2×(C2×D79)⋊C4C2312yes—
453C2×(C2×D79)⋊C4C2312yes—
454C2×(C2×D79)⋊C4C2312yes—
455C2×(C2×D79)⋊C4C2312yes—
456C22⋊C4×D79C2318yes—
457C2×C4×Dic79C2312yes—
458C42×D79C2314yes—
459C22×Q8×C79C2312yes—
460C22×Q8×C79C2312yes—
461C23×C4×C79C2311yescharacteristic
462C23×C4×C79C2311yescharacteristic
463C23×C4×C79C2311yescharacteristic
464C4⋊Q8×C79C2312yes—
465C4⋊Q8×C79C2312yes—
466C4⋊Q8×C79C2312yes—
467C4⋊Q8×C79C2312yes—
468C4⋊Q8×C79C2311yescharacteristic
469C4⋊Q8×C79C2311yescharacteristic
470C4⋊Q8×C79C2311yescharacteristic
471C4⋊Q8×C79C2311yescharacteristic
472C4⋊Q8×C79C2312yes—
473C4⋊Q8×C79C2312yes—
474#125×C79C2314yes—
475#125×C79C2314yes—
476#125×C79C2312yes—
477#125×C79C2312yes—
478#125×C79C2312yes—
479#125×C79C2312yes—
480C22⋊Q8×C79C2312yes—
481C22⋊Q8×C79C2312yes—
482C22⋊Q8×C79C2314yes—
483C22⋊Q8×C79C2312yes—
484C22⋊Q8×C79C2312yes—
485C22⋊Q8×C79C2312yes—
486C22⋊Q8×C79C2312yes—
487C22⋊Q8×C79C2314yes—
488C22⋊Q8×C79C2314yes—
489C22⋊Q8×C79C2312yes—
490C22⋊Q8×C79C2312yes—
491C22⋊Q8×C79C2314yes—
492C4×Q8×C79C2314yes—
493C4×Q8×C79C2312yes—
494C4×Q8×C79C2312yes—
495C4×Q8×C79C2312yes—
496C4×Q8×C79C2312yes—
497C4×Q8×C79C2312yes—
498C4×Q8×C79C2314yes—
499C4×Q8×C79C2312yes—
500C4×Q8×C79C2314yes—
501C4×Q8×C79C2314yes—
502C4×Q8×C79C2312yes—
503C4×Q8×C79C2312yes—
504#117×C79C2312yes—
505#117×C79C2314yes—
506#117×C79C2312yes—
507#117×C79C2314yes—
508#117×C79C2312yes—
509#117×C79C2312yes—
510C2×C4⋊C4×C79C2312yes—
511C2×C4⋊C4×C79C2314yes—
512C2×C4⋊C4×C79C2312yes—
513C2×C4⋊C4×C79C2314yes—
514C2×C4⋊C4×C79C2312yes—
515C2×C4⋊C4×C79C2312yes—
516C2×C22⋊C4×C79C2314yes—
517C2×C42×C79C2311yescharacteristic
518C2×C42×C79C2311yescharacteristic
519C2×C42×C79C2311yescharacteristic
520C2×C42×C79C2311yescharacteristic
521C2×C42×C79C2311yescharacteristic
522C2×C42×C79C2311yescharacteristic
523C2×C42×C79C2311yescharacteristic
524C2×C42×C79C2311yescharacteristic
525C2×C42×C79C2311yescharacteristic
526C2×C42×C79C2311yescharacteristic
527C2×C42×C79C2311yescharacteristic
528C2×C42×C79C2311yescharacteristic
529C2×C42×C79C2314yes—
530C23×D79C2412yes—
531#11929625—48no—
532#11929624—28no—
533#11929624—416no—
534#11929624—44no—
535#11929624—44no—
536C2×Dic158—24no—
537C2×Dic158C2412yes—
538C2×Dic158C2412yes—
539C2×Dic158C2412yes—
540C2×Dic158C2412yes—
541C2×Dic158C2418yes—
542C2×Dic158C2418yes—
543C2×Dic158C2412yes—
544Q8×D79—48no—
545C2×D316—24no—
546C2×D316C2412yes—
547C2×D316C2412yes—
548C2×D316C2412yes—
549C2×D316C2412yes—
550C2×D316C2418yes—
551C2×D316C2412yes—
552C2×D316C2418yes—
553C2×C22⋊D79—44no—
554C2×C22⋊D79C2414yes—
555C2×C22⋊D79C2414yes—
556C2×C22⋊D79C2414yes—
557C2×C22⋊D79C2414yes—
558C2×C22⋊D79C2414yes—
559C22×Dic79C2412yes—
560C22×Dic79C2412yes—
561C22×Dic79C2412yes—
562C2×C4×D79—44no—
563C2×C4×D79C2414yes—
564C2×C4×D79C2414yes—
565C2×C4×D79C2418yes—
566C2×C4×D79C2414yes—
567C2×C4×D79C2414yes—
568C2×C4×D79C2418yes—
569C2×C4×D79C2418yes—
570C2×C4×D79C2418yes—
571C2×C4×D79C2414yes—
572C4⋊Dic79C2412yes—
573C4⋊Dic79C2412yes—
574C4⋊Dic79C2412yes—
575C4⋊Dic79C2418yes—
576C4⋊Dic79C2418yes—
577C4⋊Dic79C2412yes—
578C4⋊Dic79C2412yes—
579C4⋊Dic79C2412yes—
580C4⋊Dic79C2418yes—
581C4⋊Dic79C2418yes—
582C4⋊Dic79C2412yes—
583C4⋊Dic79C2412yes—
584C4⋊Dic79C2412yes—
585C4⋊Dic79C2412yes—
586Dic79⋊C4C2414yes—
587Dic79⋊C4C2414yes—
588Dic79⋊C4C2414yes—
589Dic79⋊C4C2418yes—
590Dic79⋊C4C2418yes—
591Dic79⋊C4C2418yes—
592Dic79⋊C4C2418yes—
593Dic79⋊C4C2418yes—
594Dic79⋊C4C2414yes—
595Dic79⋊C4C2414yes—
596Dic79⋊C4C2414yes—
597Dic79⋊C4C2414yes—
598Dic79⋊C4C2414yes—
599Dic79⋊C4C2414yes—
600Dic79⋊C4C2418yes—
601Dic79⋊C4C2418yes—
602Dic79⋊C4C2414yes—
603Dic79⋊C4C2414yes—
604Dic79⋊C4C2414yes—
605Dic79⋊C4C2414yes—
606Dic79⋊C4C2414yes—
607Dic79⋊C4C2418yes—
608C22⋊Dic79C2414yes—
609C22⋊Dic79C2414yes—
610C22⋊Dic79C2414yes—
611C22⋊Dic79C2414yes—
612C22⋊Dic79C2414yes—
613(C2×D79)⋊C4C2418yes—
614(C2×D79)⋊C4C2418yes—
615(C2×D79)⋊C4C2414yes—
616(C2×D79)⋊C4C2414yes—
617(C2×D79)⋊C4C2414yes—
618(C2×D79)⋊C4C2414yes—
619(C2×D79)⋊C4C2414yes—
620(C2×D79)⋊C4C2414yes—
621(C2×D79)⋊C4C2414yes—
622(C2×D79)⋊C4C2414yes—
623(C2×D79)⋊C4C2414yes—
624(C2×D79)⋊C4C2414yes—
625(C2×D79)⋊C4C2418yes—
626(C2×D79)⋊C4C2414yes—
627(C2×D79)⋊C4C2414yes—
628(C2×D79)⋊C4C2414yes—
629(C2×D79)⋊C4C2414yes—
630(C2×D79)⋊C4C2418yes—
631(C2×D79)⋊C4C2418yes—
632(C2×D79)⋊C4C2418yes—
633(C2×D79)⋊C4C2418yes—
634(C2×D79)⋊C4C2418yes—
635C4×Dic79C2414yes—
636C4×Dic79C2414yes—
637C4×Dic79C2414yes—
638C4×Dic79C2414yes—
639C4×Dic79C2414yes—
640C4×Dic79C2418yes—
641C4×Dic79C2418yes—
642C4×Dic79C2418yes—
643C4×Dic79C2418yes—
644C24×C79C2411yescharacteristic
645C2×Q8×C79—44no—
646C2×Q8×C79—44no—
647C2×Q8×C79C2412yes—
648C2×Q8×C79C2412yes—
649C2×Q8×C79C2412yes—
650C2×Q8×C79C2414yes—
651C2×Q8×C79C2414yes—
652C2×Q8×C79C2412yes—
653C22×C4×C79—24no—
654C22×C4×C79—42no—
655C22×C4×C79—42no—
656C22×C4×C79C2411yescharacteristic
657C22×C4×C79C2411yescharacteristic
658C22×C4×C79C2414yes—
659C22×C4×C79C2411yescharacteristic
660C22×C4×C79C2411yescharacteristic
661C22×C4×C79C2411yescharacteristic
662C22×C4×C79C2411yescharacteristic
663C22×C4×C79C2411yescharacteristic
664C22×C4×C79C2411yescharacteristic
665C22×C4×C79C2411yescharacteristic
666C22×C4×C79C2411yescharacteristic
667C22×C4×C79C2411yescharacteristic
668C22×C4×C79C2411yescharacteristic
669C22×C4×C79C2411yescharacteristic
670C22×C4×C79C2411yescharacteristic
671C22×C4×C79C2411yescharacteristic
672C22×C4×C79C2411yescharacteristic
673C22×C4×C79C2411yescharacteristic
674C22×C4×C79C2414yes—
675C22×C4×C79C2411yescharacteristic
676C4⋊C4×C79C2412yes—
677C4⋊C4×C79C2412yes—
678C4⋊C4×C79C2412yes—
679C4⋊C4×C79C2412yes—
680C4⋊C4×C79C2414yes—
681C4⋊C4×C79C2414yes—
682C4⋊C4×C79C2414yes—
683C4⋊C4×C79C2414yes—
684C4⋊C4×C79C2414yes—
685C4⋊C4×C79C2414yes—
686C4⋊C4×C79C2414yes—
687C4⋊C4×C79C2414yes—
688C4⋊C4×C79C2414yes—
689C4⋊C4×C79C2414yes—
690C4⋊C4×C79C2412yes—
691C4⋊C4×C79C2412yes—
692C4⋊C4×C79C2412yes—
693C4⋊C4×C79C2414yes—
694C4⋊C4×C79C2414yes—
695C4⋊C4×C79C2412yes—
696C22⋊C4×C79C2414yes—
697C22⋊C4×C79C2414yes—
698C22⋊C4×C79C2414yes—
699C22⋊C4×C79C2414yes—
700C42×C79C2411yescharacteristic
701C42×C79C2411yescharacteristic
702C42×C79C2411yescharacteristic
703C42×C79C2411yescharacteristic
704C42×C79C2411yescharacteristic
705C42×C79C2411yescharacteristic
706C42×C79C2411yescharacteristic
707C42×C79C2411yescharacteristic
708C42×C79C2411yescharacteristic
709C42×C79C2411yescharacteristic
710C42×C79C2411yescharacteristic
711C42×C79C2411yescharacteristic
712C42×C79C2411yescharacteristic
713C42×C79C2411yescharacteristic
714C42×C79C2411yescharacteristic
715C42×C79C2411yescharacteristic
716C42×C79C2414yes—
717C42×C79C2414yes—
718C42×C79C2414yes—
719C42×C79C2414yes—
720C23×C79—22no—
721C23×C79—22no—
722C23×C79—41no—
723C23×C79C2511yescharacteristic
724C23×C79C2511yescharacteristic
725C23×C79C2511yescharacteristic
726C22×D79—24no—
727C22×D79—42no—
728C22×D79—42no—
729C22×D79C2514yes—
730C22×D79C2514yes—
731Q8×C79—24no—
732Q8×C79—24no—
733Q8×C79—42no—
734Q8×C79—44no—
735Q8×C79—42no—
736Q8×C79—44no—
737C2×C4×C79—22no—
738C2×C4×C79—22no—
739C2×C4×C79—28no—
740C2×C4×C79—22no—
741C2×C4×C79—22no—
742C2×C4×C79—22no—
743C2×C4×C79—22no—
744C2×C4×C79—22no—
745C2×C4×C79—22no—
746C2×C4×C79—22no—
747C2×C4×C79—22no—
748C2×C4×C79—41no—
749C2×C4×C79—41no—
750C2×C4×C79—41no—
751C2×C4×C79—41no—
752C2×C4×C79—41no—
753C2×C4×C79—41no—
754C2×C4×C79—41no—
755C2×C4×C79—44no—
756C2×C4×C792−1+414yes—
757C2×C4×C79C2511yescharacteristic
758C2×C4×C79C2511yescharacteristic
759C2×C4×C79C2511yescharacteristic
760C2×C4×C79C2514yes—
761C2×C4×C79C2514yes—
762C2×C4×C79C2514yes—
763C2×C4×C79C2511yescharacteristic
764C2×C4×C79C2511yescharacteristic
765C2×C4×C79C2511yescharacteristic
766C2×C4×C79C2511yescharacteristic
767C2×C4×C79C2511yescharacteristic
768C2×C4×C79C2514yes—
769C2×C4×C79C2511yescharacteristic
770C2×C4×C79C2511yescharacteristic
771C2×C4×C79C2511yescharacteristic
772C2×C4×C79C2511yescharacteristic
773C22⋊D79—28no—
774C22⋊D79—28no—
775C22⋊D79—28no—
776C22⋊D79—44no—
777C22⋊D79—44no—
778C2×Dic79—24no—
779C2×Dic79—42no—
780C2×Dic79—42no—
781C2×Dic79C2514yes—
782C2×Dic79C2514yes—
783C2×Dic79C2514yes—
784C2×Dic79C2514yes—
785C2×Dic79C2514yes—
786C2×Dic79C2514yes—
787D316—24no—
788D316—24no—
789D316—24no—
790D316—24no—
791D316—42no—
792D316—48no—
793D316—48no—
794C4×D79—28no—
795C4×D79—28no—
796C4×D79—44no—
797C4×D79—48no—
798C4×D79—48no—
799C4×D79—44no—
800C4×D79—48no—
801C4×D79—44no—
802C4×D79—48no—
803Dic158—24no—
804Dic158—24no—
805Dic158—24no—
806Dic158—24no—
807Dic158—48no—
808Dic158—48no—
809Dic158—42no—
810C22×C79—21no—
811C22×C79—21no—
812C22×C79—21no—
813C22×C79—21no—
814C22×C79—21no—
815C22×C79—21no—
816C22×C79—21no—
817C22×C79—44no—
818C22×C79C2×2−1+412yes—
819C22×C79#58512yes—
820C22×C79C2611yescharacteristic
821C2×D79—24no—
822C2×D79—24no—
823C2×D79—24no—
824C2×D79—24no—
825C2×D79—24no—
826C2×D79—24no—
827C2×D79—84no—
828C4×C79—21no—
829C4×C79—21no—
830C4×C79—21no—
831C4×C79—21no—
832C4×C79—21no—
833C4×C79—21no—
834C4×C79—21no—
835C4×C79—21no—
836C4×C79—21no—
837C4×C79—24no—
838C4×C79—24no—
839C4×C79—24no—
840C4×C79—24no—
841C4×C79C2×2−1+412yes—
842C4×C79C2×2−1+412yes—
843C4×C79#58512yes—
844Dic79—24no—
845Dic79—24no—
846Dic79—24no—
847Dic79—24no—
848Dic79—24no—
849Dic79—24no—
850#62831—791nomaximal, Sylow
851C2×C79—22no—
852C2×C79—22no—
853C2×C79—41no—
854C2×C79C22×2−1+411yescharacteristic
855C2×C79C2×#58511yescharacteristic
856C2×C79C2×#58511yescharacteristic
857D79—44no—
858D79—44no—
859#3565—794no—
860#3564—794no—
861#3557—794no—
862#3555—792no—
863#3554—792no—
864#3552—792no—
865#3544—792no—
866#3535—794no—
867#3523—792no—
868#3522—792no—
869#3520—794no—
870#3518—792no—
871#3515—792no—
872#3515—794no—
873#3510—792no—
874#3507—791no—
875#3507—794no—
876#3506—791no—
877#3504—792no—
878#3502—791no—
879#3501—791no—
880#3495—794no—
881#3495—792no—
882#3494—792no—
883#3444—791no—
884C2×#533D7911yescharacteristic, complemented
885C2×#529—791no—
886C79#6283111yescharacteristic, complemented, Sylow
887#563—798no—
888#563—798no—
889#563—798no—
890#562—798no—
891#559—794no—
892#559—794no—
893#559—792no—
894#559—794no—
895Q82—792no—
896Q82—792no—
897#557—792no—
898#557—794no—
899#557—794no—
900#557—792no—
901#557—794no—
902#557—794no—
903#557—792no—
904#556—792no—
905#556—794no—
906#556—798no—
907#556—798no—
908#556—792no—
909#556—794no—
910#556—794no—
911#556—794no—
912#556—794no—
913#555—792no—
914#555—794no—
915#554—792no—
916#554—792no—
917#554—794no—
918#554—798no—
919#554—798no—
920#554—794no—
921#554—792no—
922#554—794no—
923#554—794no—
924#554—794no—
925#553—794no—
926#553—794no—
927#553—794no—
928#552—798no—
929#552—798no—
930#552—794no—
931#552—794no—
932#552—798no—
933#552—798no—
934#552—798no—
935#552—794no—
936#552—794no—
937#552—798no—
938#552—794no—
939#551—798no—
940#551—798no—
941#551—798no—
942#551—798no—
943#550—792no—
944D4×Q8—794no—
945D4×Q8—792no—
946D4×Q8—792no—
947#548—794no—
948#548—794no—
949#547—792no—
950#547—794no—
951#547—794no—
952#547—798no—
953#547—794no—
954#546—798no—
955#544—794no—
956#544—794no—
957#544—794no—
958#544—794no—
959#544—792no—
960#544—792no—
961#543—794no—
962#542—794no—
963#542—794no—
964#542—794no—
965#542—798no—
966#542—798no—
967#542—794no—
968#542—798no—
969#542—794no—
970#542—794no—
971#541—794no—
972#541—798no—
973#541—794no—
974#541—798no—
975#541—794no—
976#540—794no—
977#539—798no—
978#539—798no—
979#539—798no—
980#539—794no—
981#539—798no—
982#539—798no—
983#538—794no—
984#536—798no—
985#536—794no—
986#536—792no—
987#535—792no—
988#533—794no—
989#533—794no—
990#533—791no—
991#533—791no—
992#533—791no—
993#533—794no—
994#533C2×D7912yes—
995#533C2×D7911yescharacteristic
996#533C2×D7911yescharacteristic
997#533C2×D7912yes—
998#533C2×D7912yes—
999#533C2×D7911yescharacteristic, complemented
1000#533C2×D7911yescharacteristic, complemented
1001#533C2×D7912yescomplemented
1002#533C2×D7912yescomplemented
1003#533C2×D7912yescomplemented
1004#532—791no—
1005#532—791no—
1006#532—791no—
1007#532—794no—
1008C2×C4⋊Q8C2×D7911yescharacteristic, complemented
1009C2×C4⋊Q8C2×D7911yescharacteristic, complemented
1010#529—794no—
1011#529—794no—
1012#529—794no—
1013#529—792no—
1014#529—792no—
1015#529—792no—
1016#529—792no—
1017#529—792no—
1018#529—792no—
1019#529—792no—
1020#529—792no—
1021#529—792no—
1022#529—792no—
1023#529—792no—
1024#529—792no—
1025#529—792no—
1026#529—792no—
1027#529—794no—
1028#529—794no—
1029C2×#126—792no—
1030C2×#125—794no—
1031C2×#125—791no—
1032C2×#125C2×D7912yescomplemented
1033C2×#124—791no—
1034#525—792no—
1035#525—792no—
1036#525—792no—
1037#525—794no—
1038C2×#123—792no—
1039C2×C22⋊Q8—791no—
1040C2×C22⋊Q8—794no—
1041C2×C22⋊Q8C2×D7912yes—
1042C2×C22⋊Q8C2×D7912yes—
1043C2×#121—791no—
1044#520—794no—
1045#520—792no—
1046#520—792no—
1047#520—798no—
1048#519—794no—
1049#519—792no—
1050#518—792no—
1051C4×#41—792no—
1052C4×#41—792no—
1053C4×#41—792no—
1054C2×C4×Q8—791no—
1055C2×C4×Q8C2×D7912yescomplemented
1056C2×C4×Q8C2×D7912yescomplemented
1057C2×C4×D4—792no—
1058C2×C4×D4—791no—
1059C2×#117—792no—
1060C2×#117C2×D7912yes—
1061C22×C42C2×D7911yescharacteristic
1062C2×#41—794no—
1063C2×#41—792no—
1064C2×#41—792no—
1065C2×#41—798no—
1066C2×#41—792no—
1067C22×Q8—794no—
1068C22×Q8—791no—
1069C22×Q8C22×D7912yes—
1070C22×Q8C22×D7912yes—
1071C22×D4—792no—
1072C22×D4—791no—
1073C23×C4—792no—
1074C23×C4C22×D7911yescharacteristic
1075C23×C4C22×D7911yescharacteristic
1076C23×C4C22×D7911yescharacteristic
1077C4⋊Q8—794no—
1078C4⋊Q8—798no—
1079C4⋊Q8—798no—
1080C4⋊Q8—798no—
1081C4⋊Q8—794no—
1082C4⋊Q8—794no—
1083C4⋊Q8—794no—
1084C4⋊Q8—798no—
1085C4⋊Q8—791no—
1086C4⋊Q8—791no—
1087C4⋊Q8—791no—
1088C4⋊Q8—794no—
1089C4⋊Q8—794no—
1090C4⋊Q8—794no—
1091C4⋊Q8C22×D7912yes—
1092C4⋊Q8C22×D7912yes—
1093C4⋊Q8C22×D7912yes—
1094C4⋊Q8C22×D7912yes—
1095C4⋊Q8C22×D7911yescharacteristic
1096C4⋊Q8C22×D7911yescharacteristic
1097C4⋊Q8C22×D7911yescharacteristic
1098C4⋊Q8C22×D7911yescharacteristic
1099C4⋊Q8C22×D7912yes—
1100C4⋊Q8C22×D7912yes—
1101#127—791no—
1102#127—794no—
1103#126—798no—
1104#126—798no—
1105#126—798no—
1106#126—798no—
1107#126—798no—
1108#126—798no—
1109#126—798no—
1110#126—798no—
1111#126—798no—
1112#126—798no—
1113#126—798no—
1114#126—794no—
1115#126—794no—
1116#126—794no—
1117#126—794no—
1118#126—794no—
1119#126—794no—
1120#126—798no—
1121#126—798no—
1122#125—798no—
1123#125—798no—
1124#125—794no—
1125#125—794no—
1126#125—794no—
1127#125—798no—
1128#125—798no—
1129#125—798no—
1130#125—798no—
1131#125—798no—
1132#125—798no—
1133#125—798no—
1134#125—798no—
1135#125—792no—
1136#125—792no—
1137#125—792no—
1138#125—792no—
1139#125—792no—
1140#125—792no—
1141#125—792no—
1142#125—794no—
1143#125—794no—
1144#125—798no—
1145#125C22×D7912yes—
1146#125C22×D7912yes—
1147#125C22×D7914yes—
1148#125C22×D7914yes—
1149#125C22×D7912yes—
1150#125C22×D7912yes—
1151#124—794no—
1152#124—798no—
1153#124—798no—
1154#124—798no—
1155#124—798no—
1156#124—798no—
1157#124—792no—
1158#124—792no—
1159#124—792no—
1160#124—792no—
1161#124—792no—
1162#124—792no—
1163#124—792no—
1164#124—794no—
1165#124—794no—
1166#124—798no—
1167#123—794no—
1168#123—794no—
1169#123—794no—
1170#123—794no—
1171#123—794no—
1172#123—794no—
1173#123—794no—
1174#123—798no—
1175#123—798no—
1176#123—798no—
1177#123—798no—
1178#123—798no—
1179#123—798no—
1180#123—798no—
1181#123—798no—
1182#123—798no—
1183#123—798no—
1184#123—798no—
1185#123—798no—
1186#123—798no—
1187#123—798no—
1188C22⋊Q8—794no—
1189C22⋊Q8—794no—
1190C22⋊Q8—798no—
1191C22⋊Q8—798no—
1192C22⋊Q8—798no—
1193C22⋊Q8—798no—
1194C22⋊Q8—798no—
1195C22⋊Q8—798no—
1196C22⋊Q8—792no—
1197C22⋊Q8—792no—
1198C22⋊Q8—792no—
1199C22⋊Q8—792no—
1200C22⋊Q8—792no—
1201C22⋊Q8—792no—
1202C22⋊Q8—792no—
1203C22⋊Q8—792no—
1204C22⋊Q8—792no—
1205C22⋊Q8—792no—
1206C22⋊Q8—798no—
1207C22⋊Q8—798no—
1208C22⋊Q8—794no—
1209C22⋊Q8—794no—
1210C22⋊Q8—794no—
1211C22⋊Q8—798no—
1212C22⋊Q8—798no—
1213C22⋊Q8—798no—
1214C22⋊Q8—798no—
1215C22⋊Q8—798no—
1216C22⋊Q8—798no—
1217C22⋊Q8—798no—
1218C22⋊Q8—798no—
1219C22⋊Q8—798no—
1220C22⋊Q8—798no—
1221C22⋊Q8—798no—
1222C22⋊Q8C22×D7912yes—
1223C22⋊Q8C22×D7912yes—
1224C22⋊Q8C22×D7912yes—
1225C22⋊Q8C22×D7912yes—
1226C22⋊Q8C22×D7914yes—
1227C22⋊Q8C22×D7914yes—
1228C22⋊Q8C22×D7912yes—
1229C22⋊Q8C22×D7914yes—
1230C22⋊Q8C22×D7912yes—
1231C22⋊Q8C22×D7912yes—
1232C22⋊Q8C22×D7912yes—
1233C22⋊Q8C22×D7914yes—
1234#121—792no—
1235#121—792no—
1236#121—792no—
1237#121—792no—
1238#121—792no—
1239#121—792no—
1240#121—792no—
1241#121—792no—
1242#121—792no—
1243#121—792no—
1244#121—798no—
1245#121—794no—
1246#121—794no—
1247#121—794no—
1248#121—798no—
1249#121—798no—
1250#121—798no—
1251#120—794no—
1252#120—798no—
1253C4×Q8—794no—
1254C4×Q8—794no—
1255C4×Q8—794no—
1256C4×Q8—794no—
1257C4×Q8—794no—
1258C4×Q8—798no—
1259C4×Q8—798no—
1260C4×Q8—798no—
1261C4×Q8—792no—
1262C4×Q8—792no—
1263C4×Q8—792no—
1264C4×Q8—792no—
1265C4×Q8—792no—
1266C4×Q8—792no—
1267C4×Q8—792no—
1268C4×Q8—792no—
1269C4×Q8—792no—
1270C4×Q8—792no—
1271C4×Q8—794no—
1272C4×Q8—798no—
1273C4×Q8—794no—
1274C4×Q8—794no—
1275C4×Q8—794no—
1276C4×Q8C22×D7912yes—
1277C4×Q8C22×D7912yes—
1278C4×Q8C22×D7914yes—
1279C4×Q8C22×D7912yes—
1280C4×Q8C22×D7912yes—
1281C4×Q8C22×D7912yes—
1282C4×Q8C22×D7914yes—
1283C4×Q8C22×D7912yes—
1284C4×Q8C22×D7914yes—
1285C4×Q8C22×D7914yes—
1286C4×Q8C22×D7912yes—
1287C4×Q8C22×D7912yes—
1288C4×D4—794no—
1289C4×D4—794no—
1290C4×D4—794no—
1291C4×D4—794no—
1292C4×D4—794no—
1293C4×D4—794no—
1294C4×D4—794no—
1295C4×D4—794no—
1296C4×D4—794no—
1297C4×D4—794no—
1298C4×D4—798no—
1299C4×D4—798no—
1300C4×D4—794no—
1301C4×D4—794no—
1302C4×D4—798no—
1303C4×D4—798no—
1304C4×D4—798no—
1305C4×D4—794no—
1306C4×D4—798no—
1307C4×D4—798no—
1308C4×D4—792no—
1309C4×D4—792no—
1310C4×D4—792no—
1311C4×D4—792no—
1312C4×D4—792no—
1313C4×D4—792no—
1314C4×D4—792no—
1315C4×D4—792no—
1316C4×D4—792no—
1317C4×D4—792no—
1318C4×D4—794no—
1319C4×D4—794no—
1320C4×D4—794no—
1321C4×D4—794no—
1322C4×D4—798no—
1323#117—792no—
1324#117—792no—
1325#117—792no—
1326#117—798no—
1327#117—794no—
1328#117—798no—
1329#117—798no—
1330#117—798no—
1331#117—794no—
1332#117—794no—
1333#117—798no—
1334#117—794no—
1335#117—794no—
1336#117—794no—
1337#117—794no—
1338#117—794no—
1339#117—794no—
1340#117—794no—
1341#117—798no—
1342#117—798no—
1343#117C22×D7912yes—
1344#117C22×D7912yes—
1345#117C22×D7914yes—
1346#117C22×D7914yes—
1347#117C22×D7912yes—
1348#117C22×D7912yes—
1349C2×C4⋊C4—792no—
1350C2×C4⋊C4—792no—
1351C2×C4⋊C4—791no—
1352C2×C4⋊C4—792no—
1353C2×C4⋊C4—791no—
1354C2×C4⋊C4—792no—
1355C2×C4⋊C4—798no—
1356C2×C4⋊C4—794no—
1357C2×C4⋊C4—798no—
1358C2×C4⋊C4—798no—
1359C2×C4⋊C4—794no—
1360C2×C4⋊C4—794no—
1361C2×C4⋊C4C22×D7912yes—
1362C2×C4⋊C4C22×D7912yes—
1363C2×C4⋊C4C22×D7914yes—
1364C2×C4⋊C4C22×D7914yes—
1365C2×C4⋊C4C22×D7912yes—
1366C2×C4⋊C4C22×D7912yes—
1367C2×C22⋊C4—792no—
1368C2×C22⋊C4—792no—
1369C2×C22⋊C4—792no—
1370C2×C22⋊C4—792no—
1371C2×C22⋊C4—792no—
1372C2×C22⋊C4—798no—
1373C2×C22⋊C4C22×D7914yes—
1374C2×C42—792no—
1375C2×C42—794no—
1376C2×C42C22×D7911yescharacteristic
1377C2×C42C22×D7914yes—
1378C2×C42C22×D7911yescharacteristic
1379C2×C42C22×D7911yescharacteristic
1380C2×C42C22×D7911yescharacteristic
1381C2×C42C22×D7911yescharacteristic
1382C2×C42C22×D7911yescharacteristic
1383C2×C42C22×D7911yescharacteristic
1384C2×C42C22×D7911yescharacteristic
1385C2×C42C22×D7911yescharacteristic
1386C2×C42C22×D7911yescharacteristic
1387C2×C42C22×D7911yescharacteristic
1388C2×C42C22×D7911yescharacteristic
1389C24—792no—
1390C24C23×D7911yescharacteristic
1391#41—3164no—
1392#41—3164no—
1393#41—31616no—
1394#41—3168no—
1395#41—1588no—
1396C2×Q8—44no—
1397C2×Q8—44no—
1398C2×Q8—3168no—
1399C2×Q8—798no—
1400C2×Q8—792no—
1401C2×Q8—798no—
1402C2×Q8—792no—
1403C2×Q8—792no—
1404C2×Q8—792no—
1405C2×Q8—792no—
1406C2×Q8—1584no—
1407C2×Q8C23×D7912yes—
1408C2×Q8C23×D7912yes—
1409C2×Q8C23×D7912yes—
1410C2×Q8C23×D7914yes—
1411C2×Q8C23×D7914yes—
1412C2×Q8C23×D7912yes—
1413C2×D4—3164no—
1414C2×D4—794no—
1415C2×D4—794no—
1416C2×D4—794no—
1417C2×D4—794no—
1418C2×D4—794no—
1419C2×D4—798no—
1420C2×D4—798no—
1421C2×D4—792no—
1422C2×D4—792no—
1423C2×D4—792no—
1424C2×D4—792no—
1425C2×D4—792no—
1426C2×D4—1584no—
1427C22×C4—24no—
1428C22×C4—42no—
1429C22×C4—42no—
1430C22×C4—3164no—
1431C22×C4—792no—
1432C22×C4—792no—
1433C22×C4—794no—
1434C22×C4—794no—
1435C22×C4—798no—
1436C22×C4—798no—
1437C22×C4—798no—
1438C22×C4—798no—
1439C22×C4—794no—
1440C22×C4—792no—
1441C22×C4—794no—
1442C22×C4—794no—
1443C22×C4C23×D7911yescharacteristic
1444C22×C4C23×D7911yescharacteristic
1445C22×C4C23×D7911yescharacteristic
1446C22×C4C23×D7911yescharacteristic
1447C22×C4C23×D7911yescharacteristic
1448C22×C4C23×D7911yescharacteristic
1449C22×C4C23×D7911yescharacteristic
1450C22×C4C23×D7911yescharacteristic
1451C22×C4C23×D7911yescharacteristic
1452C22×C4C23×D7911yescharacteristic
1453C22×C4C23×D7914yes—
1454C22×C4C23×D7911yescharacteristic
1455C22×C4C23×D7911yescharacteristic
1456C22×C4C23×D7911yescharacteristic
1457C22×C4C23×D7911yescharacteristic
1458C22×C4C23×D7911yescharacteristic
1459C22×C4C23×D7911yescharacteristic
1460C22×C4C23×D7911yescharacteristic
1461C22×C4C23×D7914yes—
1462C22×C4C23×D7911yescharacteristic
1463C4⋊C4—794no—
1464C4⋊C4—794no—
1465C4⋊C4—794no—
1466C4⋊C4—798no—
1467C4⋊C4—794no—
1468C4⋊C4—794no—
1469C4⋊C4—794no—
1470C4⋊C4—794no—
1471C4⋊C4—798no—
1472C4⋊C4—798no—
1473C4⋊C4—798no—
1474C4⋊C4—798no—
1475C4⋊C4—794no—
1476C4⋊C4—794no—
1477C4⋊C4—794no—
1478C4⋊C4—794no—
1479C4⋊C4—794no—
1480C4⋊C4—794no—
1481C4⋊C4—794no—
1482C4⋊C4—798no—
1483C4⋊C4—798no—
1484C4⋊C4—798no—
1485C4⋊C4—792no—
1486C4⋊C4—792no—
1487C4⋊C4—792no—
1488C4⋊C4—798no—
1489C4⋊C4—792no—
1490C4⋊C4—792no—
1491C4⋊C4—798no—
1492C4⋊C4—792no—
1493C4⋊C4—798no—
1494C4⋊C4—792no—
1495C4⋊C4—792no—
1496C4⋊C4—792no—
1497C4⋊C4—792no—
1498C4⋊C4—798no—
1499C4⋊C4C23×D7914yes—
1500C4⋊C4C23×D7914yes—
1501C4⋊C4C23×D7912yes—
1502C4⋊C4C23×D7912yes—
1503C4⋊C4C23×D7912yes—
1504C4⋊C4C23×D7914yes—
1505C4⋊C4C23×D7912yes—
1506C4⋊C4C23×D7912yes—
1507C4⋊C4C23×D7912yes—
1508C4⋊C4C23×D7914yes—
1509C4⋊C4C23×D7914yes—
1510C4⋊C4C23×D7914yes—
1511C4⋊C4C23×D7914yes—
1512C4⋊C4C23×D7914yes—
1513C4⋊C4C23×D7914yes—
1514C4⋊C4C23×D7914yes—
1515C4⋊C4C23×D7912yes—
1516C4⋊C4C23×D7914yes—
1517C4⋊C4C23×D7914yes—
1518C4⋊C4C23×D7912yes—
1519C22⋊C4—794no—
1520C22⋊C4—794no—
1521C22⋊C4—794no—
1522C22⋊C4—794no—
1523C22⋊C4—794no—
1524C22⋊C4—794no—
1525C22⋊C4—794no—
1526C22⋊C4—794no—
1527C22⋊C4—794no—
1528C22⋊C4—794no—
1529C22⋊C4—794no—
1530C22⋊C4—798no—
1531C22⋊C4—798no—
1532C22⋊C4—794no—
1533C22⋊C4—794no—
1534C22⋊C4—794no—
1535C22⋊C4—794no—
1536C22⋊C4—798no—
1537C22⋊C4—798no—
1538C22⋊C4—798no—
1539C22⋊C4—798no—
1540C22⋊C4—794no—
1541C22⋊C4—794no—
1542C22⋊C4—794no—
1543C22⋊C4—794no—
1544C22⋊C4—798no—
1545C22⋊C4—798no—
1546C22⋊C4C23×D7914yes—
1547C22⋊C4C23×D7914yes—
1548C22⋊C4C23×D7914yes—
1549C22⋊C4C23×D7914yes—
1550C42—794no—
1551C42—794no—
1552C42—794no—
1553C42—794no—
1554C42—794no—
1555C42—798no—
1556C42—798no—
1557C42—798no—
1558C42—798no—
1559C42C23×D7911yescharacteristic
1560C42C23×D7911yescharacteristic
1561C42C23×D7911yescharacteristic
1562C42C23×D7911yescharacteristic
1563C42C23×D7911yescharacteristic
1564C42C23×D7911yescharacteristic
1565C42C23×D7911yescharacteristic
1566C42C23×D7911yescharacteristic
1567C42C23×D7911yescharacteristic
1568C42C23×D7911yescharacteristic
1569C42C23×D7911yescharacteristic
1570C42C23×D7911yescharacteristic
1571C42C23×D7911yescharacteristic
1572C42C23×D7911yescharacteristic
1573C42C23×D7911yescharacteristic
1574C42C23×D7911yescharacteristic
1575C42C23×D7914yes—
1576C42C23×D7914yes—
1577C42C23×D7914yes—
1578C42C23×D7914yes—
1579C23—22no—
1580C23—22no—
1581C23—41no—
1582C23—3162no—
1583C23—3162no—
1584C23—794no—
1585C23—794no—
1586C23—1584no—
1587C23C24×D7911yescharacteristic
1588C23C24×D7911yescharacteristic
1589C23C24×D7911yescharacteristic
1590Q8—24no—
1591Q8—24no—
1592Q8—42no—
1593Q8—44no—
1594Q8—42no—
1595Q8—44no—
1596Q8—3168no—
1597Q8—3162no—
1598Q8—3168no—
1599Q8—1584no—
1600Q8—1584no—
1601Q8—1584no—
1602Q8—1584no—
1603D4—3162no—
1604D4—3168no—
1605D4—3168no—
1606D4—3164no—
1607D4—3164no—
1608D4—1588no—
1609D4—1588no—
1610D4—1588no—
1611D4—1584no—
1612D4—1584no—
1613D4—1584no—
1614D4—1584no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—28no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—44no—
1634C2×C4—3164no—
1635C2×C4—3168no—
1636C2×C4—3164no—
1637C2×C4—3164no—
1638C2×C4—3168no—
1639C2×C4—3168no—
1640C2×C4—3168no—
1641C2×C4—3162no—
1642C2×C4—3162no—
1643C2×C4—794no—
1644C2×C4—794no—
1645C2×C4—794no—
1646C2×C4—794no—
1647C2×C4—794no—
1648C2×C4—794no—
1649C2×C4—1584no—
1650C2×C4—1588no—
1651C2×C4—1588no—
1652C2×C4#1457920914yes—
1653C2×C4C24×D7911yescharacteristic
1654C2×C4C24×D7911yescharacteristic
1655C2×C4C24×D7911yescharacteristic
1656C2×C4C24×D7914yes—
1657C2×C4C24×D7914yes—
1658C2×C4C24×D7914yes—
1659C2×C4C24×D7911yescharacteristic
1660C2×C4C24×D7911yescharacteristic
1661C2×C4C24×D7911yescharacteristic
1662C2×C4C24×D7911yescharacteristic
1663C2×C4C24×D7911yescharacteristic
1664C2×C4C24×D7911yescharacteristic
1665C2×C4C24×D7914yes—
1666C2×C4C24×D7911yescharacteristic
1667C2×C4C24×D7911yescharacteristic
1668C2×C4C24×D7911yescharacteristic
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—21no—
1675C22—21no—
1676C22—44no—
1677C22—6324no—
1678C22—1584no—
1679C22—1584no—
1680C22—1584no—
1681C22—1584no—
1682C22—1584no—
1683C22—1584no—
1684C22C2×#1457920912yes—
1685C22#1909939912yes—
1686C22C25×D7911yescharacteristic
1687C4—21no—
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—24no—
1697C4—24no—
1698C4—24no—
1699C4—24no—
1700C4—1584no—
1701C4—1584no—
1702C4—1584no—
1703C4—1584no—
1704C4—1584no—
1705C4—1584no—
1706C4C2×#1457920912yes—
1707C4C2×#1457920912yes—
1708C4#1909939912yes—
1709C2—22no—
1710C2—22no—
1711C2—41no—
1712C2—3164no—
1713C2—3164no—
1714C2C22×#1457920911yescharacteristic
1715C2C2×#1909939911yescharacteristic
1716C2C2×#1909939911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC2×#533×C79C2
hypercenterC2×#533D79
hypocenterC79#62831
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×#533

Complements

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

NH ≅ G/Ntype
1. #23778049C2semidirect
2. #23778028C2semidirect
3. #23777906C2semidirect
4. #23777888C2semidirect
5. #23777871C2semidirect
6. #23777841C2semidirect
7. #23777744C2semidirect
8. #23777609C2semidirect
9. #23777496C2semidirect
10. #23777485C2semidirect
11. #23777443C2semidirect
12. #23777409C2semidirect
13. #23777373C2semidirect
14. #23777372C2semidirect
15. #23777298C2semidirect
16. #23777267C2semidirect
17. #23777265C2semidirect
18. #23777254C2semidirect
19. #23777221C2semidirect
20. #23777205C2semidirect
21. #23777201C2semidirect
22. #23777152C2semidirect
23. #23777147C2semidirect
24. #23777135C2semidirect
25. #23776696C2semidirect
26. C2×#19099097C2semidirect
27. C2×#533×C79C2semidirect
28. #19099314C22semidirect
29. #19099312C22semidirect
30. #19099312C22semidirect
31. #19099309C22semidirect
32. #19099298C22semidirect
33. #19099298C22semidirect
34. #19099298C22semidirect
35. #19099298C22semidirect
36. Q8×Dic158C22semidirect
37. #19099293C22semidirect
38. #19099292C22semidirect
39. #19099291C22semidirect
40. #19099291C22semidirect
41. #19099291C22semidirect
42. #19099291C22semidirect
43. #19099290C22semidirect
44. #19099288C22semidirect
45. #19099287C22semidirect
46. #19099286C22semidirect
47. #19099286C22semidirect
48. #19099286C22semidirect
49. #19099286C22semidirect
50. #19099285C22semidirect
51. #19099285C22semidirect
52. #19099284C22semidirect
53. #19099281C22semidirect
54. #19099279C22semidirect
56. #19099274C22semidirect
57. #19099274C22semidirect
58. #19099273C22semidirect
59. #19099273C22semidirect
60. #19099273C22semidirect
61. #19099273C22semidirect
62. #19099269C22semidirect
63. #19099268C22semidirect
66. #19099266C22semidirect
69. #19099254C22semidirect
70. #19099254C22semidirect
71. #19099252C22semidirect
72. #19099251C22semidirect
73. #19099248C22semidirect
74. #19099248C22semidirect
75. #19099248C22semidirect
76. #19099247C22semidirect
78. #19099245C22semidirect
79. #19099245C22semidirect
84. #19099235C22semidirect
85. Q8×D316C22semidirect
86. #19099228C22semidirect
87. Q8×C22⋊D79C22semidirect
88. #19099224C22semidirect
89. #19099223C22semidirect
90. #19099216C22semidirect
91. #19099215C22semidirect
93. #19099214C22semidirect
94. #19099214C22semidirect
99. #19099190C22semidirect
100. #19099190C22semidirect
101. #19099190C22semidirect
103. #19099187C22semidirect
104. #19099187C22semidirect
105. #19099187C22semidirect
106. #19099185C22semidirect
107. #19099185C22semidirect
109. #19099184C22semidirect
110. #19099183C22semidirect
111. #19099183C22semidirect
112. #19099175C22semidirect
113. #19099174C22semidirect
114. #19099172C22semidirect
115. #19099171C22semidirect
116. #19099171C22semidirect
119. #19099161C22semidirect
120. #19099160C22semidirect
121. #19099160C22semidirect
122. #19099159C22semidirect
123. #19099159C22semidirect
126. #19099138C22semidirect
127. #19099137C22semidirect
130. #19099120C22semidirect
131. #19099120C22semidirect
132. #19099120C22semidirect
133. #19099119C22semidirect
137. #19099113C22semidirect
138. #19099113C22semidirect
140. #19099098C22semidirect
141. #19099098C22semidirect
153. #19099097C22semidirect
154. #19099097C22semidirect
155. #19099097C22semidirect
156. #19099097C22semidirect
157. #19099097C22semidirect
160. #125×D79C22semidirect
170. #19099045C22semidirect
171. #19099044C22semidirect
175. #19099039C22semidirect
178. C4×#11929624C22semidirect
179. C4×#11929624C22semidirect
189. #533×C79C22semidirect
190. #533×C79C22semidirect
191. #533×C79C22semidirect
192. #533×C79C22semidirect
193. #533×C79C22semidirect
194. C2×C4⋊Q8×C79C22semidirect
195. C2×C4⋊Q8×C79C22semidirect
196. C2×#125×C79C22semidirect
199. C2×C4×Q8×C79C22semidirect
200. C2×C4×Q8×C79C22semidirect
884. C2×#533D79semidirect
886. C79#62831semidirect
999. #533C2×D79semidirect
1000. #533C2×D79semidirect
1001. #533C2×D79semidirect
1002. #533C2×D79semidirect
1003. #533C2×D79semidirect
1008. C2×C4⋊Q8C2×D79semidirect
1009. C2×C4⋊Q8C2×D79semidirect
1032. C2×#125C2×D79semidirect
1055. C2×C4×Q8C2×D79semidirect
1056. C2×C4×Q8C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780492
#237780282
#237779062
#237778882
#237778712
#237778412
#237777442
#237776092
#237774962
#237774852
#237774432
#237774092
#237773732
#237773722
#237772982
#237772672
#237772652
#237772542
#237772212
#237772052
#237772012
#237771522
#237771472
#237771352
#237766962
C2×#190990972
C2×#533×C792
#6283179