Finite Group Databasebeta

← #35197186

Subgroups — #35197186

Order 20224.

7148 conjugacy classes of subgroups.

The subgroup lattice has 1924 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777961C214yesmaximal, complemented
2#23777929C214yesmaximal, complemented
3#23777860C214yesmaximal, complemented
4#23777807C212yesmaximal, complemented
5#23777797C212yesmaximal, complemented
6#23777785C212yesmaximal, complemented
7#23777777C212yesmaximal, complemented
8#23777623C214yesmaximal, complemented
9#23777478C214yesmaximal, complemented
10#23777452C212yesmaximal, complemented
11#23777450C212yesmaximal, complemented
12#23777313C212yesmaximal, complemented
13#23777311C211yesmaximal, characteristic, complemented
14#23777307C211yesmaximal, characteristic, complemented
15#23777301C212yesmaximal, complemented
16#23777269C212yesmaximal, complemented
17#23777264C212yesmaximal, complemented
18#23777250C212yesmaximal, complemented
19#23777216C212yesmaximal, complemented
20#23777195C212yesmaximal, complemented
21#23777183C211yesmaximal, characteristic, complemented
22#23777167C212yesmaximal, complemented
23#23777124C214yesmaximal, complemented
24#23777078C212yesmaximal, complemented
25#23777073C212yesmaximal, complemented
26#23776693C211yesmaximal, characteristic, complemented
27C2×#19099118C211yesmaximal, characteristic, complemented
28#532×D79C211yesmaximal, characteristic, complemented
29C79×#3499C211yesmaximal, characteristic, complemented
30C2×#14579209C2212yescomplemented
31C2×#41×D79C2212yes—
32#19099314C2218yescomplemented
33#19099310C2218yescomplemented
34#19099310C2218yescomplemented
35#19099309C2218yescomplemented
36#19099297C2218yescomplemented
37#19099296C2214yescomplemented
38#19099295C2214yescomplemented
39#19099293C2214yescomplemented
40#19099288C2214yescomplemented
41#19099287C2214yescomplemented
42#19099286C2212yescomplemented
43#19099284C2214yescomplemented
44#19099283C2212yescomplemented
45#19099282C2214yescomplemented
46#19099279C2214yescomplemented
47#19099278C2212yescomplemented
48#19099278C2212yescomplemented
49#19099277C2214yescomplemented
50#19099274C2214yes—
51#19099274C2214yescomplemented
52#19099273C2212yescomplemented
53#19099272C2214yescomplemented
54#19099271C2214yescomplemented
55#19099270C2212yescomplemented
56#19099268C2214yes—
57#19099268C2214yescomplemented
58#19099267C2218yescomplemented
59#19099265C2214yescomplemented
60#19099263C2214yescomplemented
61#19099261C2214yescomplemented
62#19099261C2214yescomplemented
63#19099260C2214yescomplemented
64#19099259C2214yescomplemented
65#19099255C2214yescomplemented
66#19099247C2214yescomplemented
67#19099241C2218yes—
68#19099240C2218yes—
69#19099232C2214yescomplemented
70#19099232C2214yescomplemented
71#19099231C2214yescomplemented
72#19099228C2214yes—
73#19099228C2212yescomplemented
74#19099228C2212yescomplemented
75Q8×C22⋊D79C2214yes—
76Q8×C22⋊D79C2214yescomplemented
77Q8×C22⋊D79C2214yescomplemented
78#19099224C2214yescomplemented
79#19099224C2214yescomplemented
80#19099224C2214yescomplemented
81#19099222C2214yescomplemented
82#19099221C2214yescomplemented
83#19099220C2214yescomplemented
84#19099220C2214yescomplemented
85#19099219C2214yescomplemented
86#19099218C2212yescomplemented
87#19099217C2212yescomplemented
88#19099216C2212yescomplemented
89#19099216C2214yescomplemented
90#19099216C2212yescomplemented
91#19099214C2214yescomplemented
92#19099214C2214yescomplemented
93#19099212C2214yescomplemented
94#19099212C2218yescomplemented
95#19099211C2218yescomplemented
96#19099210C2214yes—
97#19099208C2214yes—
98#19099206C2214yes—
99#19099205C2218yes—
100#19099201C2218yes—
101#19099201C2214yes—
102#19099194C2214yescomplemented
103#19099190C2214yes—
104#19099190C2214yescomplemented
105#19099188C2218yes—
106#19099187C2214yescomplemented
107#19099187C2214yescomplemented
108#19099184C2214yescomplemented
109#19099183C2218yescomplemented
110#19099183C2218yescomplemented
111#19099182C2214yescomplemented
112#19099181C2218yescomplemented
113#19099180C2214yescomplemented
114#19099178C2214yescomplemented
115#19099166C2214yescomplemented
116#19099165C2218yescomplemented
117#19099164C2214yescomplemented
118#19099162C2218yescomplemented
119#19099157C2218yescomplemented
120#19099156C2218yescomplemented
121#19099149C2218yes—
122#19099144C2214yescomplemented
123#19099143C2214yescomplemented
124#19099142C2214yescomplemented
125#19099141C2214yescomplemented
126#19099141C2212yescomplemented
127#19099141C2212yescomplemented
128#19099141C2218yescomplemented
129#19099138C2214yescomplemented
130#19099137C2214yescomplemented
131#19099137C2212yescomplemented
132#19099136C2214yescomplemented
133#19099129C2214yes—
134#19099120C2212yescomplemented
135#19099118C2212yes—
136#19099118C2212yes—
137#19099118C2212yes—
138#19099118C2212yes—
139#19099118C2212yescomplemented
140#19099118C2212yescomplemented
141#19099118C2212yescomplemented
142#19099118C2212yescomplemented
143#19099118C2212yescomplemented
144#19099117C2211yescharacteristic
145#19099117C2211yescharacteristic, complemented
146#19099116C2211yescharacteristic, complemented
147#19099114C2211yescharacteristic
148#19099114C2212yescomplemented
149#19099113C2211yescharacteristic
150#19099113C2212yescomplemented
151#19099112C2212yes—
152#19099111C2211yescharacteristic
153#19099111C2212yescomplemented
154#19099110C2212yes—
155#19099110C2212yes—
156#19099110C2211yescharacteristic
157#19099110C2211yescharacteristic, complemented
158#19099109C2212yes—
159#19099109C2218yescomplemented
160#19099109C2211yescharacteristic, complemented
161#19099108C2212yes—
162#19099108C2212yes—
163C2×#14579161C2211yescharacteristic, complemented
164C4⋊Q8×D79C2211yescharacteristic
165C4⋊Q8×D79C2212yescomplemented
166#127×D79C2211yescharacteristic
167#19099100C2211yescharacteristic
168#19099100C2211yescharacteristic, complemented
169#19099095C2211yescharacteristic
170#19099095C2211yescharacteristic, complemented
171#19099093C2212yescomplemented
172#19099093C2212yescomplemented
173#19099091C2212yes—
174#19099091C2212yescomplemented
175#19099090C2218yescomplemented
176C2×#14579152C2212yescomplemented
177#124×D79C2212yes—
178#19099076C2214yes—
179#19099075C2211yescharacteristic
180#19099072C2212yes—
181#19099072C2212yes—
182#19099070C2211yescharacteristic
183#19099070C2214yes—
184C2×#14579141C2212yes—
185C2×#14579137C2212yes—
186C2×#14579137C2214yes—
187C22⋊Q8×D79C2214yes—
188#121×D79C2212yes—
189#121×D79C2212yes—
190#19099046C2212yescomplemented
191#19099044C2214yes—
192#19099044C2214yescomplemented
193#19099043C2212yescomplemented
194#19099042C2214yescomplemented
195#19099035C2214yes—
196C4×#11929624C2212yes—
197C4×#11929624C2212yescomplemented
198C4×#11929624C2211yescharacteristic, complemented
199C2×Q8×Dic79C2212yescomplemented
200C2×#14579126C2212yescomplemented
201C4×D4×D79C2212yes—
202C4×D4×D79C2212yes—
203C2×#14579119C2212yes—
204C2×C42×D79C2211yescharacteristic
205C2×2−1+4×C79C2212yescomplemented
206D4×Q8×C79C2212yescomplemented
207D4×Q8×C79C2212yescomplemented
208#547×C79C2212yescomplemented
209#547×C79C2214yescomplemented
210#547×C79C2214yescomplemented
211#547×C79C2212yescomplemented
212#536×C79C2212yescomplemented
213#536×C79C2214yescomplemented
214#532×C79C2211yescharacteristic
215#532×C79C2212yescomplemented
216C2×C4⋊Q8×C79C2212yescomplemented
217C2×C4⋊Q8×C79C2211yescharacteristic, complemented
218C4×#41×C79C2211yescharacteristic, complemented
219#14579209—48no—
220C2×#11929625C2314yes—
221C2×#11929625C2314yes—
222C2×#11929625C2312yes—
223C2×#11929624C2312yes—
224C2×#11929624C2311yescharacteristic
225C2×#11929624C2312yes—
226C2×#11929624C2314yes—
227C2×#11929624C2318yes—
228C2×#11929624C2312yes—
229C2×#11929624C2314yes—
230C2×#11929623C2314yes—
231C2×#11929623C2314yes—
232C2×#11929623C2312yes—
233#41×D79—48no—
234C22×Dic158C2312yes—
235C2×Q8×D79C2314yes—
236C2×Q8×D79C2314yes—
237C2×Q8×D79C2312yes—
238C2×D4×D79C2312yes—
239C2×D4×D79C2314yes—
240C2×D4×D79C2312yes—
241C2×D4×D79C2312yes—
242C22×C4×D79C2311yescharacteristic
243C22×C4×D79C2311yescharacteristic
244C22×C4×D79C2311yescharacteristic
245C22×C4×D79C2314yes—
246#14579161C2312yes—
247#14579161C2312yes—
248#14579161C2312yes—
249#14579161C2311yescharacteristic
250#14579161C2312yes—
251#14579160C2318yes—
252#14579160C2314yes—
253#14579160C2314yes—
254#14579160C2312yes—
255#14579160C2312yes—
256#14579160C2311yescharacteristic
257#14579160C2311yescharacteristic
258#14579159C2314yes—
259#14579159C2318yes—
260#14579159C2318yes—
261#14579159C2311yescharacteristic
262#14579159C2312yes—
263#14579158C2311yescharacteristic
264#14579157C2312yes—
265#14579157C2318yes—
266#14579157C2312yes—
267#14579157C2311yescharacteristic
268#14579157C2312yes—
269#14579156C2318yes—
270#14579156C2312yes—
271#14579156C2318yes—
272#14579156C2318yes—
273#14579156C2312yes—
274#14579154C2318yes—
275#14579154C2312yes—
276#14579154C2318yes—
277#14579154C2318yes—
278#14579154C2312yes—
279#14579153C2314yes—
280#14579152C2314yes—
281#14579152C2318yes—
282#14579152C2314yes—
283#14579152C2314yes—
284#14579152C2311yescharacteristic
285#14579152C2311yescharacteristic
286#14579152C2314yes—
287#14579152C2314yes—
288#14579151C2318yes—
289#14579151C2318yes—
290#14579151C2312yes—
291#14579151C2312yes—
292#14579150C2314yes—
293#14579150C2318yes—
294#14579150C2318yes—
295#14579150C2311yescharacteristic
296#14579150C2312yes—
297#14579149C2312yes—
298#14579149C2314yes—
299#14579148C2314yes—
300#14579148C2318yes—
301#14579148C2311yescharacteristic
302#14579148C2312yes—
303#14579147C2318yes—
304#14579147C2318yes—
305#14579147C2318yes—
306#14579147C2314yes—
307#14579147C2318yes—
308#14579147C2312yes—
309#14579147C2312yes—
310#14579147C2314yes—
311#14579146C2318yes—
312#14579146C2318yes—
313#14579146C2318yes—
314#14579146C2318yes—
315#14579146C2312yes—
316#14579146C2312yes—
317#14579145C2318yes—
318#14579145C2318yes—
319#14579145C2312yes—
320#14579144C2318yes—
321#14579144C2318yes—
322#14579144C2318yes—
323#14579143C2318yes—
324#14579143C2318yes—
325#14579143C2318yes—
326#14579143C2312yes—
327#14579143C2312yes—
328#14579142C2318yes—
329#14579142C2312yes—
330#14579141C2311yescharacteristic
331#14579141C2314yes—
332#14579141C2318yes—
333#14579141C2314yes—
334#14579141C2314yes—
335#14579141C2314yes—
336#14579141C2314yes—
337#14579141C2311yescharacteristic
338#14579140C2314yes—
339#14579140C2318yes—
340#14579140C2318yes—
341#14579140C2318yes—
342#14579140C2314yes—
343#14579140C2314yes—
344#14579139C2318yes—
345#14579139C2318yes—
346#14579139C2318yes—
347#14579139C2312yes—
348#14579139C2318yes—
349#14579139C2312yes—
350#14579139C2318yes—
351#14579138C2318yes—
352#14579138C2318yes—
353#14579138C2312yes—
354#14579138C2318yes—
355#14579138C2312yes—
356#14579137C2314yes—
357#14579137C2311yescharacteristic
358#14579137C2314yes—
359#14579137C2314yes—
360#14579137C2314yes—
361#14579137C2318yes—
362#14579137C2314yes—
363#14579137C2318yes—
364#14579137C2318yes—
365#14579137C2318yes—
366#14579137C2314yes—
367#14579137C2314yes—
368#14579137C2314yes—
369#14579137C2311yescharacteristic
370#14579136C2311yescharacteristic
371#14579136C2318yes—
372#14579136C2312yes—
373#14579136C2314yes—
374#14579136C2314yes—
375#14579136C2312yes—
376#14579136C2311yescharacteristic
377#14579135C2314yes—
378#14579135C2318yes—
379#14579135C2318yes—
380#14579135C2318yes—
381#14579135C2314yes—
382#14579135C2314yes—
383#14579135C2312yes—
384#14579135C2312yes—
385#14579134C2318yes—
386#14579134C2318yes—
387#14579134C2312yes—
388#14579134C2312yes—
389#14579134C2314yes—
390#14579134C2314yes—
391#14579133C2312yes—
392#14579133C2314yes—
393#14579133C2318yes—
394#14579133C2318yes—
395#14579133C2318yes—
396#14579133C2318yes—
397#14579133C2314yes—
398#14579133C2312yes—
399#14579132C2311yescharacteristic
400#14579132C2314yes—
401#14579132C2318yes—
402#14579132C2318yes—
403#14579132C2314yes—
404#14579132C2312yes—
405#14579132C2314yes—
406#14579132C2312yes—
407#14579132C2311yescharacteristic
408#14579131C2318yes—
409#14579131C2312yes—
410#14579129C2318yes—
411#14579129C2312yes—
412Q8×Dic79C2314yes—
413Q8×Dic79C2314yes—
414Q8×Dic79C2314yes—
415Q8×Dic79C2314yes—
416Q8×Dic79C2314yes—
417C4×Dic158C2314yes—
418C4×Dic158C2314yes—
419C4×Dic158C2311yescharacteristic
420C4×Dic158C2311yescharacteristic
421C4×Dic158C2312yes—
422C4×Dic158C2312yes—
423C4×Dic158C2312yes—
424C4×Dic158C2312yes—
425#14579126C2314yes—
426#14579126C2314yes—
427#14579126C2318yes—
428#14579126C2314yes—
429#14579126C2314yes—
430#14579126C2314yes—
431C4×D316C2314yes—
432C4×D316C2314yes—
433C4×D316C2312yes—
434C4×D316C2312yes—
435C4×D316C2311yescharacteristic
436C4×D316C2312yes—
437C4×D316C2311yescharacteristic
438C4×D316C2312yes—
439C4×D316C2312yes—
440C4×D316C2312yes—
441D4×Dic79C2318yes—
442D4×Dic79C2314yes—
443D4×Dic79C2312yes—
444D4×Dic79C2314yes—
445D4×Dic79C2312yes—
446#14579123C2318yes—
447#14579123C2314yes—
448#14579123C2312yes—
449#14579123C2314yes—
450#14579123C2312yes—
451C4×C22⋊D79C2318yes—
452C4×C22⋊D79C2318yes—
453C4×C22⋊D79C2318yes—
454C4×C22⋊D79C2318yes—
455C4×C22⋊D79C2318yes—
456C4×C22⋊D79C2318yes—
457C4×C22⋊D79C2312yes—
458C4×C22⋊D79C2312yes—
459C4×C22⋊D79C2312yes—
460C4×C22⋊D79C2312yes—
461C4×C22⋊D79C2312yes—
462C4×C22⋊D79C2312yes—
463C4×C22⋊D79C2314yes—
464C4×C22⋊D79C2312yes—
465C4×C22⋊D79C2314yes—
466C4×C22⋊D79C2312yes—
467C4×C22⋊D79C2312yes—
468C4×C22⋊D79C2312yes—
469(C22⋊D79)⋊C4C2314yes—
470(C22⋊D79)⋊C4C2318yes—
471(C22⋊D79)⋊C4C2318yes—
472(C22⋊D79)⋊C4C2318yes—
473(C22⋊D79)⋊C4C2314yes—
474#14579120C2311yescharacteristic
475#14579120C2314yes—
476#14579120C2312yes—
477#14579120C2312yes—
478#14579120C2314yes—
479#14579119C2314yes—
480#14579119C2314yes—
481#14579119C2318yes—
482#14579119C2314yes—
483#14579119C2314yes—
484#14579119C2314yes—
485#14579119C2314yes—
486#14579118C2312yes—
487#14579118C2312yes—
488#14579118C2312yes—
489#14579118C2312yes—
490#14579118C2312yes—
491#14579117C2318yes—
492C2×C4⋊Dic79C2314yes—
493C2×C4⋊Dic79C2312yes—
494C2×C4⋊Dic79C2314yes—
495C2×C4⋊Dic79C2312yes—
496C2×Dic79⋊C4C2318yes—
497C2×Dic79⋊C4C2314yes—
498C4⋊C4×D79C2314yes—
499C4⋊C4×D79C2314yes—
500C4⋊C4×D79C2318yes—
501C4⋊C4×D79C2312yes—
502C4⋊C4×D79C2314yes—
503C4⋊C4×D79C2312yes—
504C2×(C2×D79)⋊C4C2318yes—
505C2×(C2×D79)⋊C4C2314yes—
506C22⋊C4×D79C2314yes—
507C22⋊C4×D79C2318yes—
508C22⋊C4×D79C2314yes—
509C2×C4×Dic79C2311yescharacteristic
510C2×C4×Dic79C2311yescharacteristic
511C2×C4×Dic79C2311yescharacteristic
512C2×C4×Dic79C2314yes—
513C42×D79C2311yescharacteristic
514C42×D79C2311yescharacteristic
515C42×D79C2311yescharacteristic
516C42×D79C2311yescharacteristic
517C42×D79C2311yescharacteristic
518C42×D79C2311yescharacteristic
519C42×D79C2311yescharacteristic
520C42×D79C2311yescharacteristic
521C42×D79C2312yes—
5222−1+4×C79—48no—
523C2×#41×C79C2311yescharacteristic
524C2×#41×C79C2312yes—
525C2×#41×C79C2318yes—
526C2×#41×C79C2314yes—
527C2×#41×C79C2314yes—
528C22×Q8×C79C2312yes—
529C22×Q8×C79C2314yes—
530C22×Q8×C79C2314yes—
531C4⋊Q8×C79C2312yes—
532C4⋊Q8×C79C2314yes—
533C4⋊Q8×C79C2314yes—
534C4⋊Q8×C79C2314yes—
535C4⋊Q8×C79C2312yes—
536C4⋊Q8×C79C2312yes—
537C4⋊Q8×C79C2311yescharacteristic
538C4⋊Q8×C79C2312yes—
539#127×C79C2311yescharacteristic
540#124×C79C2312yes—
541#124×C79C2314yes—
542#123×C79C2318yes—
543#123×C79C2318yes—
544#123×C79C2318yes—
545C22⋊Q8×C79C2314yes—
546C22⋊Q8×C79C2314yes—
547C22⋊Q8×C79C2318yes—
548C22⋊Q8×C79C2318yes—
549#121×C79C2314yes—
550#121×C79C2314yes—
551#121×C79C2312yes—
552#121×C79C2312yes—
553C4×Q8×C79C2311yescharacteristic
554C4×Q8×C79C2311yescharacteristic
555C4×D4×C79C2314yes—
556C4×D4×C79C2314yes—
557C4×D4×C79C2312yes—
558C4×D4×C79C2311yescharacteristic
559C4×D4×C79C2312yes—
560C4×D4×C79C2312yes—
561C4×D4×C79C2311yescharacteristic
562C4×D4×C79C2312yes—
563#117×C79C2312yes—
564#117×C79C2311yescharacteristic
565C2×C4⋊C4×C79C2314yes—
566C2×C4⋊C4×C79C2314yes—
567C2×C4⋊C4×C79C2312yes—
568C2×C4⋊C4×C79C2312yes—
569C2×C42×C79C2311yescharacteristic
570C2×C42×C79C2312yes—
571C23×D79C2411yescharacteristic
572C23×D79C2414yes—
573#11929625—44no—
574#11929625—48no—
575#11929625—48no—
576#11929624—28no—
577#11929624—28no—
578#11929624—24no—
579#11929624—416no—
580#11929624—48no—
581#11929624—48no—
582#11929624—44no—
583#11929623—48no—
584#11929623—44no—
585#11929623—48no—
586C2×Dic158—44no—
587C2×Dic158C2411yescharacteristic
588C2×Dic158C2412yes—
589C2×Dic158C2414yes—
590C2×Dic158C2412yes—
591C2×Dic158C2418yes—
592C2×Dic158C2414yes—
593C2×Dic158C2414yes—
594C2×Dic158C2412yes—
595Q8×D79—44no—
596Q8×D79—48no—
597Q8×D79—48no—
598C2×D316C2412yes—
599C2×D316C2411yescharacteristic
600C2×D316C2412yes—
601C2×D316C2412yes—
602C2×D316C2412yes—
603C2×D316C2418yes—
604C2×D316C2414yes—
605C2×D316C2412yes—
606C2×C22⋊D79C2414yes—
607C2×C22⋊D79C2412yes—
608C2×C22⋊D79C2412yes—
609C2×C22⋊D79C2412yes—
610C2×C22⋊D79C2414yes—
611C2×C22⋊D79C2414yes—
612C2×C22⋊D79C2414yes—
613C2×C22⋊D79C2418yes—
614C2×C22⋊D79C2418yes—
615C2×C22⋊D79C2412yes—
616C2×C22⋊D79C2412yes—
617C2×C22⋊D79C2414yes—
618D4×D79—28no—
619D4×D79—48no—
620D4×D79—44no—
621D4×D79—44no—
622C22×Dic79C2411yescharacteristic
623C22×Dic79C2411yescharacteristic
624C22×Dic79C2414yes—
625C22×Dic79C2414yes—
626C22×Dic79C2418yes—
627C22×Dic79C2411yescharacteristic
628C2×C4×D79—24no—
629C2×C4×D79—24no—
630C2×C4×D79—48no—
631C2×C4×D79—42no—
632C2×C4×D79C2412yes—
633C2×C4×D79C2411yescharacteristic
634C2×C4×D79C2414yes—
635C2×C4×D79C2412yes—
636C2×C4×D79C2411yescharacteristic
637C2×C4×D79C2411yescharacteristic
638C2×C4×D79C2411yescharacteristic
639C2×C4×D79C2412yes—
640C2×C4×D79C2411yescharacteristic
641C2×C4×D79C2411yescharacteristic
642C2×C4×D79C2411yescharacteristic
643C2×C4×D79C2411yescharacteristic
644C2×C4×D79C2411yescharacteristic
645C2×C4×D79C2418yes—
646C2×C4×D79C2418yes—
647C2×C4×D79C2414yes—
648C2×C4×D79C2414yes—
649C2×C4×D79C2418yes—
650C2×C4×D79C2411yescharacteristic
651C2×C4×D79C2411yescharacteristic
652C2×C4×D79C2411yescharacteristic
653C4⋊Dic79C2412yes—
654C4⋊Dic79C2412yes—
655C4⋊Dic79C2412yes—
656C4⋊Dic79C2414yes—
657C4⋊Dic79C2411yescharacteristic
658C4⋊Dic79C2414yes—
659C4⋊Dic79C2414yes—
660C4⋊Dic79C2414yes—
661C4⋊Dic79C2418yes—
662C4⋊Dic79C2418yes—
663C4⋊Dic79C2418yes—
664C4⋊Dic79C2412yes—
665C4⋊Dic79C2411yescharacteristic
666C4⋊Dic79C2412yes—
667C4⋊Dic79C2412yes—
668Dic79⋊C4C2418yes—
669Dic79⋊C4C2418yes—
670Dic79⋊C4C2414yes—
671Dic79⋊C4C2414yes—
672Dic79⋊C4C2418yes—
673Dic79⋊C4C2418yes—
674Dic79⋊C4C2418yes—
675Dic79⋊C4C2412yes—
676Dic79⋊C4C2418yes—
677Dic79⋊C4C2418yes—
678Dic79⋊C4C2412yes—
679Dic79⋊C4C2412yes—
680Dic79⋊C4C2412yes—
681Dic79⋊C4C2412yes—
682Dic79⋊C4C2412yes—
683Dic79⋊C4C2412yes—
684Dic79⋊C4C2412yes—
685Dic79⋊C4C2412yes—
686Dic79⋊C4C2412yes—
687C22⋊Dic79C2414yes—
688C22⋊Dic79C2414yes—
689C22⋊Dic79C2418yes—
690C22⋊Dic79C2412yes—
691C22⋊Dic79C2412yes—
692C22⋊Dic79C2412yes—
693C22⋊Dic79C2412yes—
694C22⋊Dic79C2418yes—
695C22⋊Dic79C2412yes—
696C22⋊Dic79C2418yes—
697(C2×D79)⋊C4C2412yes—
698(C2×D79)⋊C4C2418yes—
699(C2×D79)⋊C4C2414yes—
700(C2×D79)⋊C4C2414yes—
701(C2×D79)⋊C4C2414yes—
702(C2×D79)⋊C4C2414yes—
703(C2×D79)⋊C4C2412yes—
704(C2×D79)⋊C4C2418yes—
705(C2×D79)⋊C4C2418yes—
706(C2×D79)⋊C4C2418yes—
707(C2×D79)⋊C4C2412yes—
708(C2×D79)⋊C4C2412yes—
709(C2×D79)⋊C4C2412yes—
710(C2×D79)⋊C4C2412yes—
711(C2×D79)⋊C4C2412yes—
712(C2×D79)⋊C4C2412yes—
713(C2×D79)⋊C4C2412yes—
714(C2×D79)⋊C4C2412yes—
715(C2×D79)⋊C4C2418yes—
716(C2×D79)⋊C4C2418yes—
717(C2×D79)⋊C4C2418yes—
718C4×Dic79C2411yescharacteristic
719C4×Dic79C2411yescharacteristic
720C4×Dic79C2411yescharacteristic
721C4×Dic79C2411yescharacteristic
722C4×Dic79C2411yescharacteristic
723C4×Dic79C2411yescharacteristic
724C4×Dic79C2411yescharacteristic
725C4×Dic79C2411yescharacteristic
726C4×Dic79C2411yescharacteristic
727C4×Dic79C2411yescharacteristic
728C4×Dic79C2411yescharacteristic
729C4×Dic79C2411yescharacteristic
730C4×Dic79C2412yes—
731C4×Dic79C2412yes—
732C4×Dic79C2412yes—
733C4×Dic79C2418yes—
734C4×Dic79C2418yes—
735C4×Dic79C2418yes—
736C4×Dic79C2418yes—
737#41×C79—28no—
738#41×C79—24no—
739#41×C79—416no—
740#41×C79—48no—
741#41×C79—48no—
742C2×Q8×C79—28no—
743C2×Q8×C79—48no—
744C2×Q8×C79—48no—
745C2×Q8×C79C2414yes—
746C2×Q8×C79C2414yes—
747C2×Q8×C79C2412yes—
748C2×Q8×C79C2411yescharacteristic
749C2×Q8×C79C2418yes—
750C2×D4×C79C2412yes—
751C2×D4×C79C2414yes—
752C2×D4×C79C2412yes—
753C2×D4×C79C2412yes—
754C2×D4×C79C2412yes—
755C2×D4×C79C2411yescharacteristic
756C2×D4×C79C2418yes—
757C22×C4×C79C2411yescharacteristic
758C22×C4×C79C2412yes—
759C22×C4×C79C2414yes—
760C22×C4×C79C2412yes—
761C22×C4×C79C2414yes—
762C22×C4×C79C2411yescharacteristic
763C22×C4×C79C2412yes—
764C22×C4×C79C2418yes—
765C22×C4×C79C2418yes—
766C22×C4×C79C2411yescharacteristic
767C4⋊C4×C79C2412yes—
768C4⋊C4×C79C2414yes—
769C4⋊C4×C79C2412yes—
770C4⋊C4×C79C2414yes—
771C4⋊C4×C79C2418yes—
772C4⋊C4×C79C2414yes—
773C4⋊C4×C79C2418yes—
774C4⋊C4×C79C2414yes—
775C4⋊C4×C79C2411yescharacteristic
776C4⋊C4×C79C2411yescharacteristic
777C4⋊C4×C79C2412yes—
778C4⋊C4×C79C2412yes—
779C22⋊C4×C79C2412yes—
780C22⋊C4×C79C2412yes—
781C22⋊C4×C79C2412yes—
782C22⋊C4×C79C2418yes—
783C22⋊C4×C79C2414yes—
784C22⋊C4×C79C2414yes—
785C22⋊C4×C79C2418yes—
786C42×C79C2411yescharacteristic
787C42×C79C2411yescharacteristic
788C42×C79C2412yes—
789C42×C79C2411yescharacteristic
790C42×C79C2411yescharacteristic
791C42×C79C2412yes—
792C42×C79C2412yes—
793C23×C79C2512yes—
794C23×C79C2514yes—
795C23×C79C2511yescharacteristic
796C22×D79—22no—
797C22×D79—22no—
798C22×D79—28no—
799C22×D79—41no—
800C22×D79—44no—
801C22×D79—44no—
802C22×D79C2514yes—
803C22×D79C2511yescharacteristic
804C22×D79C2512yes—
805C22×D79C2511yescharacteristic
806Q8×C79—28no—
807Q8×C79—28no—
808Q8×C79—24no—
809Q8×C79—22no—
810Q8×C79—48no—
811D4×C79—28no—
812D4×C79—24no—
813D4×C79—24no—
814D4×C79—22no—
815D4×C79—24no—
816D4×C79—24no—
817D4×C79—48no—
818C2×C4×C79—28no—
819C2×C4×C79—28no—
820C2×C4×C79—24no—
821C2×C4×C79—22no—
822C2×C4×C79—24no—
823C2×C4×C79—22no—
824C2×C4×C79—24no—
825C2×C4×C79—48no—
826C2×C4×C79—48no—
827C2×C4×C79H(5,𝔽2)14yes—
828C2×C4×C79C2512yes—
829C2×C4×C79C2511yescharacteristic
830C2×C4×C79C2511yescharacteristic
831C2×C4×C79C2514yes—
832C2×C4×C79C2518yes—
833C2×C4×C79C2512yes—
834C2×C4×C79C2512yes—
835C2×C4×C79C2511yescharacteristic
836C2×C4×C79C2511yescharacteristic
837C2×C4×C79C2511yescharacteristic
838C2×C4×C79C2511yescharacteristic
839C22⋊D79—28no—
840C22⋊D79—24no—
841C22⋊D79—24no—
842C22⋊D79—28no—
843C22⋊D79—24no—
844C22⋊D79—44no—
845C22⋊D79—44no—
846C22⋊D79—44no—
847C22⋊D79—48no—
848C22⋊D79—48no—
849C22⋊D79—42no—
850C22⋊D79—42no—
851C2×Dic79—22no—
852C2×Dic79—22no—
853C2×Dic79—41no—
854C2×Dic79—44no—
855C2×Dic79—44no—
856C2×Dic79—48no—
857C2×Dic79C2511yescharacteristic
858C2×Dic79C2512yes—
859C2×Dic79C2518yes—
860C2×Dic79C2511yescharacteristic
861C2×Dic79C2511yescharacteristic
862C2×Dic79C2511yescharacteristic
863C2×Dic79C2511yescharacteristic
864C2×Dic79C2512yes—
865C2×Dic79C2512yes—
866C2×Dic79C2514yes—
867C2×Dic79C2511yescharacteristic
868D316—24no—
869D316—24no—
870D316—22no—
871D316—24no—
872D316—24no—
873D316—44no—
874D316—42no—
875D316—48no—
876C4×D79—22no—
877C4×D79—22no—
878C4×D79—22no—
879C4×D79—22no—
880C4×D79—22no—
881C4×D79—28no—
882C4×D79—24no—
883C4×D79—22no—
884C4×D79—24no—
885C4×D79—22no—
886C4×D79—22no—
887C4×D79—24no—
888C4×D79—22no—
889C4×D79—41no—
890C4×D79—41no—
891C4×D79—44no—
892C4×D79—44no—
893C4×D79—48no—
894C4×D79—48no—
895C4×D79—48no—
896C4×D792−1+414yescomplemented
897Dic158—22no—
898Dic158—24no—
899Dic158—28no—
900Dic158—24no—
901Dic158—48no—
902Dic158—44no—
903Dic158—44no—
904Dic158—42no—
905C22×C79—21no—
906C22×C79—21no—
907C22×C79—24no—
908C22×C79—22no—
909C22×C79—22no—
910C22×C79—24no—
911C22×C79—22no—
912C22×C79—24no—
913C22×C79C2×H(5,𝔽2)12yes—
914C22×C79C2611yescharacteristic
915C2×D79—21no—
916C2×D79—21no—
917C2×D79—24no—
918C2×D79—22no—
919C2×D79—21no—
920C2×D79—24no—
921C2×D79—22no—
922C2×D79—21no—
923C2×D79—22no—
924C2×D79—24no—
925C2×D79—21no—
926C2×D79—44no—
927C2×D79—88no—
928C2×D79C2×2−1+412yes—
929C4×C79—22no—
930C4×C79—24no—
931C4×C79—28no—
932C4×C79—22no—
933C4×C79—21no—
934C4×C79—21no—
935C4×C79—22no—
936C4×C79C2×H(5,𝔽2)12yes—
937C4×C79C2×H(5,𝔽2)12yes—
938C4×C79C2×2−1+412yes—
939C4×C79#58512yes—
940Dic79—24no—
941Dic79—22no—
942Dic79—21no—
943Dic79—21no—
944Dic79—22no—
945Dic79—21no—
946Dic79—21no—
947Dic79—28no—
948Dic79—21no—
949Dic79—22no—
950Dic79C2×2−1+412yes—
951#62835—791nomaximal, Sylow
952C2×C79—22no—
953C2×C79—44no—
954C2×C79—42no—
955C2×C79C22×H(5,𝔽2)11yescharacteristic
956C2×C79C22×2−1+411yescharacteristic
957C2×C79C2×#58511yescharacteristic
958D79—22no—
959D79—42no—
960D79—41no—
961D79—44no—
962#3561—794no—
963#3559—794no—
964#3554—794no—
965#3550—792no—
966#3548—792no—
967#3547—792no—
968#3547—792no—
969#3536—794no—
970#3522—794no—
971#3520—792no—
972#3520—792no—
973#3511—791no—
974#3511—792no—
975#3511—792no—
976#3511—791no—
977#3508—792no—
978#3507—792no—
979#3506—792no—
980#3503—792no—
981#3501—792no—
982#3499—791no—
983#3499D7911yescharacteristic, complemented
984#3497—792no—
985#3494—794no—
986#3489—792no—
987#3489—792no—
988#3444—791no—
989C2×#533—791no—
990C2×#532—791no—
991C79#6283511yescharacteristic, complemented, Sylow
992C2×2−1+4—792no—
993C2×2−1+4C2×D7912yescomplemented
994C22×#41—792no—
995#563—798no—
996#562—798no—
997#562—798no—
998#562—798no—
999#559—794no—
1000#559—798no—
1001#559—794no—
1002Q82—794no—
1003#557—794no—
1004#556—794no—
1005#556—794no—
1006#556—794no—
1007#556—792no—
1008#556—792no—
1009#555—794no—
1010#555—794no—
1011#555—792no—
1012#555—792no—
1013#554—794no—
1014#554—794no—
1015#554—798no—
1016#554—794no—
1017#554—792no—
1018#554—792no—
1019#554—794no—
1020#554—794no—
1021#554—794no—
1022#553—794no—
1023#553—794no—
1024#553—794no—
1025#553—794no—
1026#553—794no—
1027#553—794no—
1028#552—794no—
1029#552—794no—
1030#551—798no—
1031#551—798no—
1032#550—794no—
1033#550—794no—
1034#550—794no—
1035D4×Q8—794no—
1036D4×Q8—794no—
1037D4×Q8—794no—
1038D4×Q8—794no—
1039D4×Q8—792no—
1040D4×Q8—792no—
1041D4×Q8C2×D7912yescomplemented
1042D4×Q8C2×D7912yescomplemented
1043#548—794no—
1044#548—794no—
1045#548—794no—
1046#548—794no—
1047#548—794no—
1048#548—794no—
1049#548—794no—
1050#548—794no—
1051#547—794no—
1052#547—798no—
1053#547—794no—
1054#547—792no—
1055#547—792no—
1056#547—798no—
1057#547—792no—
1058#547—792no—
1059#547—794no—
1060#547—794no—
1061#547C2×D7914yescomplemented
1062#547C2×D7912yescomplemented
1063#547C2×D7912yescomplemented
1064#547C2×D7914yescomplemented
1065#546—798no—
1066#546—794no—
1067#546—794no—
1068#546—798no—
1069#546—794no—
1070#546—794no—
1071#544—794no—
1072#544—794no—
1073#544—794no—
1074#543—798no—
1075#542—794no—
1076#542—794no—
1077#542—794no—
1078#542—798no—
1079#542—798no—
1080#542—798no—
1081#542—794no—
1082#542—794no—
1083#542—794no—
1084#540—798no—
1085#540—794no—
1086#540—794no—
1087#539—798no—
1088#539—798no—
1089#539—798no—
1090#538—798no—
1091#537—792no—
1092#537—792no—
1093#537—794no—
1094#537—798no—
1095#537—794no—
1096#537—794no—
1097#537—794no—
1098#536—792no—
1099#536—794no—
1100#536—794no—
1101#536—794no—
1102#536C2×D7912yescomplemented
1103#536C2×D7914yescomplemented
1104#535—794no—
1105#533—792no—
1106#533—792no—
1107#533—792no—
1108#533—792no—
1109#533—792no—
1110#533—792no—
1111#533—792no—
1112#533—792no—
1113#533—792no—
1114#533—791no—
1115#533—791no—
1116#533—791no—
1117#533—792no—
1118#532—792no—
1119#532—791no—
1120#532—798no—
1121#532—791no—
1122#532—792no—
1123#532—791no—
1124#532—792no—
1125#532—792no—
1126#532—792no—
1127#532—792no—
1128#532—792no—
1129#532—792no—
1130#532—791no—
1131#532—791no—
1132#532—791no—
1133#532—792no—
1134#532C2×D7911yescharacteristic
1135#532C2×D7912yescomplemented
1136C2×C4⋊Q8—791no—
1137C2×C4⋊Q8—792no—
1138C2×C4⋊Q8—791no—
1139C2×C4⋊Q8C2×D7911yescharacteristic, complemented
1140C2×C4⋊Q8C2×D7912yescomplemented
1141C2×#127—791no—
1142#529—798no—
1143#529—791no—
1144#529—791no—
1145#529—791no—
1146#529—792no—
1147#529—792no—
1148#529—791no—
1149#529—792no—
1150#529—792no—
1151C2×#125—792no—
1152C2×#124—792no—
1153#525—791no—
1154#525—794no—
1155#525—794no—
1156#525—792no—
1157#525—792no—
1158#525—791no—
1159C2×C22⋊Q8—792no—
1160C2×C22⋊Q8—794no—
1161C2×C22⋊Q8—794no—
1162C2×C22⋊Q8—792no—
1163C2×#121—792no—
1164C2×#121—792no—
1165#520—792no—
1166#520—794no—
1167#520—792no—
1168#520—794no—
1169#520—794no—
1170#518—794no—
1171C4×#41—792no—
1172C4×#41—791no—
1173C4×#41—792no—
1174C4×#41C2×D7911yescharacteristic, complemented
1175C2×C4×Q8—792no—
1176C2×C4×Q8—792no—
1177C2×C4×D4—792no—
1178C2×C4×D4—792no—
1179C2×#117—792no—
1180C22×C42—791no—
11812−1+4—48no—
11822−1+4—3168no—
1183C2×#41—3168no—
1184C2×#41—794no—
1185C2×#41—792no—
1186C2×#41—794no—
1187C2×#41—794no—
1188C2×#41—794no—
1189C2×#41—792no—
1190C2×#41—792no—
1191C2×#41—794no—
1192C2×#41—794no—
1193C2×#41—798no—
1194C2×#41—792no—
1195C2×#41—791no—
1196C2×#41—792no—
1197C2×#41C22×D7911yescharacteristic
1198C2×#41C22×D7912yes—
1199C2×#41C22×D7914yes—
1200C2×#41C22×D7918yes—
1201C2×#41C22×D7914yes—
1202C22×Q8—794no—
1203C22×Q8—792no—
1204C22×Q8—794no—
1205C22×Q8—792no—
1206C22×Q8C22×D7912yes—
1207C22×Q8C22×D7914yes—
1208C22×Q8C22×D7914yes—
1209C22×D4—792no—
1210C22×D4—794no—
1211C22×D4—792no—
1212C22×D4—792no—
1213C23×C4—794no—
1214C23×C4—791no—
1215C23×C4—791no—
1216C23×C4—791no—
1217C4⋊Q8—792no—
1218C4⋊Q8—794no—
1219C4⋊Q8—791no—
1220C4⋊Q8—798no—
1221C4⋊Q8—798no—
1222C4⋊Q8—792no—
1223C4⋊Q8—792no—
1224C4⋊Q8—794no—
1225C4⋊Q8—794no—
1226C4⋊Q8—791no—
1227C4⋊Q8—791no—
1228C4⋊Q8—798no—
1229C4⋊Q8—791no—
1230C4⋊Q8—792no—
1231C4⋊Q8—792no—
1232C4⋊Q8—792no—
1233C4⋊Q8—792no—
1234C4⋊Q8C22×D7911yescharacteristic
1235C4⋊Q8C22×D7912yes—
1236C4⋊Q8C22×D7912yes—
1237C4⋊Q8C22×D7912yes—
1238C4⋊Q8C22×D7912yes—
1239C4⋊Q8C22×D7914yes—
1240C4⋊Q8C22×D7914yes—
1241C4⋊Q8C22×D7914yes—
1242#127—792no—
1243#127—792no—
1244#127—792no—
1245#127—791no—
1246#127—798no—
1247#127—791no—
1248#127C22×D7911yescharacteristic
1249#126—792no—
1250#126—792no—
1251#126—798no—
1252#126—798no—
1253#126—798no—
1254#126—792no—
1255#126—792no—
1256#126—798no—
1257#126—798no—
1258#126—798no—
1259#125—794no—
1260#125—794no—
1261#125—794no—
1262#125—794no—
1263#125—791no—
1264#125—791no—
1265#125—792no—
1266#125—792no—
1267#125—798no—
1268#125—794no—
1269#125—798no—
1270#125—798no—
1271#125—794no—
1272#124—792no—
1273#124—791no—
1274#124—794no—
1275#124—798no—
1276#124—798no—
1277#124—792no—
1278#124—791no—
1279#124—794no—
1280#124—798no—
1281#124—794no—
1282#124—794no—
1283#124—792no—
1284#124—792no—
1285#124—798no—
1286#124—798no—
1287#124—798no—
1288#124—798no—
1289#124—792no—
1290#124—794no—
1291#124C22×D7912yes—
1292#124C22×D7914yes—
1293#123—792no—
1294#123—798no—
1295#123—798no—
1296#123—798no—
1297#123—798no—
1298#123—792no—
1299#123—792no—
1300#123—798no—
1301#123—798no—
1302#123—798no—
1303#123—798no—
1304#123—792no—
1305#123—792no—
1306#123—792no—
1307#123—798no—
1308#123—798no—
1309#123—798no—
1310#123—798no—
1311#123—798no—
1312#123C22×D7918yes—
1313#123C22×D7918yes—
1314#123C22×D7918yes—
1315C22⋊Q8—791no—
1316C22⋊Q8—794no—
1317C22⋊Q8—794no—
1318C22⋊Q8—794no—
1319C22⋊Q8—794no—
1320C22⋊Q8—794no—
1321C22⋊Q8—794no—
1322C22⋊Q8—798no—
1323C22⋊Q8—798no—
1324C22⋊Q8—791no—
1325C22⋊Q8—794no—
1326C22⋊Q8—794no—
1327C22⋊Q8—798no—
1328C22⋊Q8—798no—
1329C22⋊Q8—794no—
1330C22⋊Q8—794no—
1331C22⋊Q8—794no—
1332C22⋊Q8—798no—
1333C22⋊Q8—798no—
1334C22⋊Q8—798no—
1335C22⋊Q8—791no—
1336C22⋊Q8—794no—
1337C22⋊Q8—794no—
1338C22⋊Q8—794no—
1339C22⋊Q8—794no—
1340C22⋊Q8—798no—
1341C22⋊Q8—791no—
1342C22⋊Q8—792no—
1343C22⋊Q8—792no—
1344C22⋊Q8—794no—
1345C22⋊Q8—798no—
1346C22⋊Q8—798no—
1347C22⋊Q8—798no—
1348C22⋊Q8—798no—
1349C22⋊Q8—798no—
1350C22⋊Q8—798no—
1351C22⋊Q8—792no—
1352C22⋊Q8—792no—
1353C22⋊Q8—798no—
1354C22⋊Q8—798no—
1355C22⋊Q8C22×D7914yes—
1356C22⋊Q8C22×D7914yes—
1357C22⋊Q8C22×D7918yes—
1358C22⋊Q8C22×D7918yes—
1359#121—794no—
1360#121—794no—
1361#121—792no—
1362#121—792no—
1363#121—791no—
1364#121—792no—
1365#121—791no—
1366#121—792no—
1367#121—794no—
1368#121—794no—
1369#121—798no—
1370#121—798no—
1371#121—794no—
1372#121—798no—
1373#121—798no—
1374#121—798no—
1375#121—798no—
1376#121—792no—
1377#121—792no—
1378#121—794no—
1379#121—794no—
1380#121—794no—
1381#121—798no—
1382#121—798no—
1383#121—798no—
1384#121—792no—
1385#121—792no—
1386#121—791no—
1387#121—791no—
1388#121—794no—
1389#121—794no—
1390#121—798no—
1391#121—794no—
1392#121—794no—
1393#121—792no—
1394#121—792no—
1395#121—798no—
1396#121—798no—
1397#121C22×D7912yes—
1398#121C22×D7912yes—
1399#121C22×D7914yes—
1400#121C22×D7914yes—
1401#120—792no—
1402#120—798no—
1403#120—792no—
1404#120—798no—
1405C4×Q8—794no—
1406C4×Q8—794no—
1407C4×Q8—794no—
1408C4×Q8—794no—
1409C4×Q8—794no—
1410C4×Q8—794no—
1411C4×Q8—794no—
1412C4×Q8—794no—
1413C4×Q8—794no—
1414C4×Q8—798no—
1415C4×Q8—794no—
1416C4×Q8—791no—
1417C4×Q8—791no—
1418C4×Q8—792no—
1419C4×Q8—792no—
1420C4×Q8—792no—
1421C4×Q8—792no—
1422C4×Q8—794no—
1423C4×Q8—794no—
1424C4×Q8C22×D7911yescharacteristic
1425C4×Q8C22×D7911yescharacteristic
1426C4×D4—792no—
1427C4×D4—792no—
1428C4×D4—794no—
1429C4×D4—798no—
1430C4×D4—794no—
1431C4×D4—794no—
1432C4×D4—794no—
1433C4×D4—792no—
1434C4×D4—792no—
1435C4×D4—792no—
1436C4×D4—792no—
1437C4×D4—792no—
1438C4×D4—792no—
1439C4×D4—792no—
1440C4×D4—792no—
1441C4×D4—792no—
1442C4×D4—792no—
1443C4×D4—798no—
1444C4×D4—798no—
1445C4×D4—798no—
1446C4×D4—798no—
1447C4×D4—798no—
1448C4×D4—798no—
1449C4×D4—792no—
1450C4×D4—792no—
1451C4×D4—794no—
1452C4×D4—798no—
1453C4×D4—794no—
1454C4×D4—794no—
1455C4×D4—794no—
1456C4×D4—798no—
1457C4×D4—798no—
1458C4×D4—798no—
1459C4×D4—792no—
1460C4×D4—792no—
1461C4×D4—792no—
1462C4×D4—792no—
1463C4×D4—792no—
1464C4×D4—792no—
1465C4×D4—791no—
1466C4×D4—791no—
1467C4×D4—794no—
1468C4×D4—794no—
1469C4×D4C22×D7912yes—
1470C4×D4C22×D7912yes—
1471C4×D4C22×D7912yes—
1472C4×D4C22×D7912yes—
1473C4×D4C22×D7911yescharacteristic
1474C4×D4C22×D7911yescharacteristic
1475C4×D4C22×D7914yes—
1476C4×D4C22×D7914yes—
1477#117—791no—
1478#117—792no—
1479#117—792no—
1480#117—794no—
1481#117—794no—
1482#117—794no—
1483#117—794no—
1484#117—794no—
1485#117—794no—
1486#117—794no—
1487#117—798no—
1488#117—794no—
1489#117—798no—
1490#117—792no—
1491#117—792no—
1492#117—792no—
1493#117—792no—
1494#117—792no—
1495#117C22×D7911yescharacteristic
1496#117C22×D7912yes—
1497C2×C4⋊C4—792no—
1498C2×C4⋊C4—792no—
1499C2×C4⋊C4—794no—
1500C2×C4⋊C4—794no—
1501C2×C4⋊C4—794no—
1502C2×C4⋊C4—798no—
1503C2×C4⋊C4—792no—
1504C2×C4⋊C4—792no—
1505C2×C4⋊C4—794no—
1506C2×C4⋊C4—798no—
1507C2×C4⋊C4—794no—
1508C2×C4⋊C4—794no—
1509C2×C4⋊C4C22×D7912yes—
1510C2×C4⋊C4C22×D7912yes—
1511C2×C4⋊C4C22×D7914yes—
1512C2×C4⋊C4C22×D7914yes—
1513C2×C22⋊C4—794no—
1514C2×C22⋊C4—798no—
1515C2×C22⋊C4—794no—
1516C2×C22⋊C4—794no—
1517C2×C22⋊C4—798no—
1518C2×C42—794no—
1519C2×C42—791no—
1520C2×C42—791no—
1521C2×C42—791no—
1522C2×C42—791no—
1523C2×C42—791no—
1524C2×C42—792no—
1525C2×C42—791no—
1526C2×C42—791no—
1527C2×C42—791no—
1528C2×C42—791no—
1529C2×C42—791no—
1530C2×C42—791no—
1531C2×C42C22×D7912yes—
1532C2×C42C22×D7911yescharacteristic
1533C24—794no—
1534C24—791no—
1535#41—28no—
1536#41—24no—
1537#41—416no—
1538#41—48no—
1539#41—48no—
1540#41—3168no—
1541#41—31616no—
1542#41—3168no—
1543#41—3164no—
1544#41—3164no—
1545#41—3168no—
1546#41—3168no—
1547#41—3164no—
1548#41—3168no—
1549#41—3168no—
1550#41—1588no—
1551#41—1588no—
1552#41—1584no—
1553C2×Q8—28no—
1554C2×Q8—48no—
1555C2×Q8—48no—
1556C2×Q8—3164no—
1557C2×Q8—3164no—
1558C2×Q8—3168no—
1559C2×Q8—3168no—
1560C2×Q8—792no—
1561C2×Q8—794no—
1562C2×Q8—798no—
1563C2×Q8—794no—
1564C2×Q8—792no—
1565C2×Q8—794no—
1566C2×Q8—791no—
1567C2×Q8—792no—
1568C2×Q8C23×D7914yes—
1569C2×Q8C23×D7914yes—
1570C2×Q8C23×D7912yes—
1571C2×Q8C23×D7911yescharacteristic
1572C2×Q8C23×D7918yes—
1573C2×D4—3168no—
1574C2×D4—3164no—
1575C2×D4—3164no—
1576C2×D4—792no—
1577C2×D4—798no—
1578C2×D4—798no—
1579C2×D4—792no—
1580C2×D4—794no—
1581C2×D4—794no—
1582C2×D4—794no—
1583C2×D4—792no—
1584C2×D4—794no—
1585C2×D4—792no—
1586C2×D4—792no—
1587C2×D4—794no—
1588C2×D4—792no—
1589C2×D4—798no—
1590C2×D4—794no—
1591C2×D4—792no—
1592C2×D4—792no—
1593C2×D4—792no—
1594C2×D4—791no—
1595C2×D4—792no—
1596C2×D4—1588no—
1597C2×D4C23×D7912yes—
1598C2×D4C23×D7914yes—
1599C2×D4C23×D7912yes—
1600C2×D4C23×D7912yes—
1601C2×D4C23×D7912yes—
1602C2×D4C23×D7911yescharacteristic
1603C2×D4C23×D7918yes—
1604C22×C4—3162no—
1605C22×C4—3168no—
1606C22×C4—791no—
1607C22×C4—794no—
1608C22×C4—798no—
1609C22×C4—794no—
1610C22×C4—791no—
1611C22×C4—791no—
1612C22×C4—794no—
1613C22×C4—798no—
1614C22×C4—798no—
1615C22×C4—794no—
1616C22×C4—798no—
1617C22×C4—791no—
1618C22×C4—791no—
1619C22×C4—791no—
1620C22×C4—791no—
1621C22×C4—791no—
1622C22×C4—791no—
1623C22×C4—791no—
1624C22×C4—791no—
1625C22×C4—791no—
1626C22×C4—791no—
1627C22×C4—791no—
1628C22×C4—791no—
1629C22×C4—792no—
1630C22×C4—792no—
1631C22×C4—792no—
1632C22×C4—794no—
1633C22×C4—1584no—
1634C22×C4—1584no—
1635C22×C4C23×D7911yescharacteristic
1636C22×C4C23×D7911yescharacteristic
1637C22×C4C23×D7914yes—
1638C22×C4C23×D7912yes—
1639C22×C4C23×D7912yes—
1640C22×C4C23×D7912yes—
1641C22×C4C23×D7914yes—
1642C22×C4C23×D7918yes—
1643C22×C4C23×D7918yes—
1644C22×C4C23×D7911yescharacteristic
1645C4⋊C4—792no—
1646C4⋊C4—798no—
1647C4⋊C4—798no—
1648C4⋊C4—794no—
1649C4⋊C4—794no—
1650C4⋊C4—798no—
1651C4⋊C4—798no—
1652C4⋊C4—798no—
1653C4⋊C4—798no—
1654C4⋊C4—798no—
1655C4⋊C4—792no—
1656C4⋊C4—792no—
1657C4⋊C4—792no—
1658C4⋊C4—792no—
1659C4⋊C4—792no—
1660C4⋊C4—792no—
1661C4⋊C4—792no—
1662C4⋊C4—792no—
1663C4⋊C4—792no—
1664C4⋊C4—791no—
1665C4⋊C4—792no—
1666C4⋊C4—792no—
1667C4⋊C4—794no—
1668C4⋊C4—792no—
1669C4⋊C4—794no—
1670C4⋊C4—794no—
1671C4⋊C4—794no—
1672C4⋊C4—798no—
1673C4⋊C4—798no—
1674C4⋊C4—798no—
1675C4⋊C4—791no—
1676C4⋊C4—792no—
1677C4⋊C4—792no—
1678C4⋊C4—792no—
1679C4⋊C4C23×D7911yescharacteristic
1680C4⋊C4C23×D7912yes—
1681C4⋊C4C23×D7914yes—
1682C4⋊C4C23×D7912yes—
1683C4⋊C4C23×D7914yes—
1684C4⋊C4C23×D7918yes—
1685C4⋊C4C23×D7914yes—
1686C4⋊C4C23×D7918yes—
1687C4⋊C4C23×D7914yes—
1688C4⋊C4C23×D7911yescharacteristic
1689C4⋊C4C23×D7912yes—
1690C4⋊C4C23×D7912yes—
1691C22⋊C4—794no—
1692C22⋊C4—794no—
1693C22⋊C4—798no—
1694C22⋊C4—792no—
1695C22⋊C4—792no—
1696C22⋊C4—792no—
1697C22⋊C4—798no—
1698C22⋊C4—792no—
1699C22⋊C4—792no—
1700C22⋊C4—798no—
1701C22⋊C4—792no—
1702C22⋊C4—792no—
1703C22⋊C4—798no—
1704C22⋊C4—794no—
1705C22⋊C4—798no—
1706C22⋊C4—794no—
1707C22⋊C4—798no—
1708C22⋊C4—798no—
1709C22⋊C4—794no—
1710C22⋊C4—794no—
1711C22⋊C4—792no—
1712C22⋊C4—792no—
1713C22⋊C4—798no—
1714C22⋊C4—798no—
1715C22⋊C4—792no—
1716C22⋊C4—792no—
1717C22⋊C4—792no—
1718C22⋊C4—792no—
1719C22⋊C4—798no—
1720C22⋊C4—792no—
1721C22⋊C4—792no—
1722C22⋊C4C23×D7918yes—
1723C22⋊C4C23×D7914yes—
1724C22⋊C4C23×D7914yes—
1725C22⋊C4C23×D7918yes—
1726C22⋊C4C23×D7912yes—
1727C22⋊C4C23×D7912yes—
1728C22⋊C4C23×D7912yes—
1729C42—791no—
1730C42—791no—
1731C42—791no—
1732C42—791no—
1733C42—791no—
1734C42—791no—
1735C42—791no—
1736C42—791no—
1737C42—791no—
1738C42—791no—
1739C42—791no—
1740C42—791no—
1741C42—798no—
1742C42—792no—
1743C42—792no—
1744C42—792no—
1745C42—798no—
1746C42—798no—
1747C42—798no—
1748C42C23×D7911yescharacteristic
1749C42C23×D7911yescharacteristic
1750C42C23×D7911yescharacteristic
1751C42C23×D7911yescharacteristic
1752C42C23×D7912yes—
1753C42C23×D7912yes—
1754C42C23×D7912yes—
1755C23—3161no—
1756C23—3164no—
1757C23—3164no—
1758C23—791no—
1759C23—794no—
1760C23—791no—
1761C23—792no—
1762C23—1582no—
1763C23—1588no—
1764C23—1582no—
1765C23C24×D7912yes—
1766C23C24×D7914yes—
1767C23C24×D7911yescharacteristic
1768Q8—28no—
1769Q8—28no—
1770Q8—22no—
1771Q8—24no—
1772Q8—48no—
1773Q8—3168no—
1774Q8—3164no—
1775Q8—3164no—
1776Q8—3162no—
1777Q8—1584no—
1778Q8—1582no—
1779Q8—1584no—
1780Q8—1588no—
1781D4—28no—
1782D4—24no—
1783D4—24no—
1784D4—22no—
1785D4—24no—
1786D4—24no—
1787D4—48no—
1788D4—3164no—
1789D4—3168no—
1790D4—3162no—
1791D4—3164no—
1792D4—3164no—
1793D4—3164no—
1794D4—3162no—
1795D4—3168no—
1796D4—3168no—
1797D4—3162no—
1798D4—1584no—
1799D4—1588no—
1800D4—1584no—
1801D4—1584no—
1802D4—1588no—
1803D4—1584no—
1804D4—1584no—
1805D4—1582no—
1806D4—1584no—
1807D4—1584no—
1808C2×C4—28no—
1809C2×C4—28no—
1810C2×C4—24no—
1811C2×C4—22no—
1812C2×C4—24no—
1813C2×C4—22no—
1814C2×C4—24no—
1815C2×C4—48no—
1816C2×C4—48no—
1817C2×C4—3164no—
1818C2×C4—3164no—
1819C2×C4—3161no—
1820C2×C4—3161no—
1821C2×C4—3168no—
1822C2×C4—3168no—
1823C2×C4—3168no—
1824C2×C4—3164no—
1825C2×C4—3161no—
1826C2×C4—3164no—
1827C2×C4—3168no—
1828C2×C4—791no—
1829C2×C4—794no—
1830C2×C4—791no—
1831C2×C4—792no—
1832C2×C4—798no—
1833C2×C4—791no—
1834C2×C4—791no—
1835C2×C4—791no—
1836C2×C4—791no—
1837C2×C4—792no—
1838C2×C4—792no—
1839C2×C4—794no—
1840C2×C4—1582no—
1841C2×C4—1582no—
1842C2×C4—1582no—
1843C2×C4—1582no—
1844C2×C4—1582no—
1845C2×C4—1588no—
1846C2×C4—1582no—
1847C2×C4—1582no—
1848C2×C4—1582no—
1849C2×C4—1584no—
1850C2×C4—1582no—
1851C2×C4—1584no—
1852C2×C4—1582no—
1853C2×C4—1582no—
1854C2×C4—1584no—
1855C2×C4#1457920614yes—
1856C2×C4C24×D7912yes—
1857C2×C4C24×D7911yescharacteristic
1858C2×C4C24×D7911yescharacteristic
1859C2×C4C24×D7914yes—
1860C2×C4C24×D7918yes—
1861C2×C4C24×D7912yes—
1862C2×C4C24×D7912yes—
1863C2×C4C24×D7911yescharacteristic
1864C2×C4C24×D7911yescharacteristic
1865C2×C4C24×D7911yescharacteristic
1866C2×C4C24×D7911yescharacteristic
1867C22—21no—
1868C22—21no—
1869C22—22no—
1870C22—24no—
1871C22—22no—
1872C22—24no—
1873C22—22no—
1874C22—24no—
1875C22—3164no—
1876C22—792no—
1877C22—6328no—
1878C22—1582no—
1879C22—1584no—
1880C22—1581no—
1881C22—1581no—
1882C22—1582no—
1883C22—1584no—
1884C22—1584no—
1885C22—1581no—
1886C22—1582no—
1887C22—1581no—
1888C22—1581no—
1889C22C2×#1457920612yes—
1890C22C25×D7911yescharacteristic
1891C4—22no—
1892C4—24no—
1893C4—28no—
1894C4—21no—
1895C4—22no—
1896C4—22no—
1897C4—21no—
1898C4—792no—
1899C4—1581no—
1900C4—1584no—
1901C4—1582no—
1902C4—1581no—
1903C4—1581no—
1904C4—1582no—
1905C4—1582no—
1906C4—1588no—
1907C4—1581no—
1908C4—1581no—
1909C4C2×#1457920612yes—
1910C4C2×#1457920612yes—
1911C42−1+4×D7912yes—
1912C4#1909940012yes—
1913C2—22no—
1914C2—44no—
1915C2—42no—
1916C2—3161no—
1917C2—3164no—
1918C2—3162no—
1919C2—1582no—
1920C2C22×#1457920611yescharacteristic
1921C2C2×2−1+4×D7911yescharacteristic
1922C2C2×#1909940011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3499C2
hypercenter#3499D79
hypocenterC79#62835
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3499

Complements

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

NH ≅ G/Ntype
1. #23777961C2semidirect
2. #23777929C2semidirect
3. #23777860C2semidirect
4. #23777807C2semidirect
5. #23777797C2semidirect
6. #23777785C2semidirect
7. #23777777C2semidirect
8. #23777623C2semidirect
9. #23777478C2semidirect
10. #23777452C2semidirect
11. #23777450C2semidirect
12. #23777313C2semidirect
13. #23777311C2semidirect
14. #23777307C2semidirect
15. #23777301C2semidirect
16. #23777269C2semidirect
17. #23777264C2semidirect
18. #23777250C2semidirect
19. #23777216C2semidirect
20. #23777195C2semidirect
21. #23777183C2semidirect
22. #23777167C2semidirect
23. #23777124C2semidirect
24. #23777078C2semidirect
25. #23777073C2semidirect
26. #23776693C2semidirect
27. C2×#19099118C2semidirect
28. #532×D79C2semidirect
29. C79×#3499C2semidirect
30. C2×#14579209C22semidirect
32. #19099314C22semidirect
33. #19099310C22semidirect
34. #19099310C22semidirect
35. #19099309C22semidirect
36. #19099297C22semidirect
37. #19099296C22semidirect
38. #19099295C22semidirect
39. #19099293C22semidirect
40. #19099288C22semidirect
41. #19099287C22semidirect
42. #19099286C22semidirect
43. #19099284C22semidirect
44. #19099283C22semidirect
45. #19099282C22semidirect
46. #19099279C22semidirect
47. #19099278C22semidirect
48. #19099278C22semidirect
49. #19099277C22semidirect
51. #19099274C22semidirect
52. #19099273C22semidirect
53. #19099272C22semidirect
54. #19099271C22semidirect
55. #19099270C22semidirect
57. #19099268C22semidirect
58. #19099267C22semidirect
59. #19099265C22semidirect
60. #19099263C22semidirect
61. #19099261C22semidirect
62. #19099261C22semidirect
63. #19099260C22semidirect
64. #19099259C22semidirect
65. #19099255C22semidirect
66. #19099247C22semidirect
69. #19099232C22semidirect
70. #19099232C22semidirect
71. #19099231C22semidirect
73. #19099228C22semidirect
74. #19099228C22semidirect
76. Q8×C22⋊D79C22semidirect
77. Q8×C22⋊D79C22semidirect
78. #19099224C22semidirect
79. #19099224C22semidirect
80. #19099224C22semidirect
81. #19099222C22semidirect
82. #19099221C22semidirect
83. #19099220C22semidirect
84. #19099220C22semidirect
85. #19099219C22semidirect
86. #19099218C22semidirect
87. #19099217C22semidirect
88. #19099216C22semidirect
89. #19099216C22semidirect
90. #19099216C22semidirect
91. #19099214C22semidirect
92. #19099214C22semidirect
93. #19099212C22semidirect
94. #19099212C22semidirect
95. #19099211C22semidirect
102. #19099194C22semidirect
104. #19099190C22semidirect
106. #19099187C22semidirect
107. #19099187C22semidirect
108. #19099184C22semidirect
109. #19099183C22semidirect
110. #19099183C22semidirect
111. #19099182C22semidirect
112. #19099181C22semidirect
113. #19099180C22semidirect
114. #19099178C22semidirect
115. #19099166C22semidirect
116. #19099165C22semidirect
117. #19099164C22semidirect
118. #19099162C22semidirect
119. #19099157C22semidirect
120. #19099156C22semidirect
122. #19099144C22semidirect
123. #19099143C22semidirect
124. #19099142C22semidirect
125. #19099141C22semidirect
126. #19099141C22semidirect
127. #19099141C22semidirect
128. #19099141C22semidirect
129. #19099138C22semidirect
130. #19099137C22semidirect
131. #19099137C22semidirect
132. #19099136C22semidirect
134. #19099120C22semidirect
139. #19099118C22semidirect
140. #19099118C22semidirect
141. #19099118C22semidirect
142. #19099118C22semidirect
143. #19099118C22semidirect
145. #19099117C22semidirect
146. #19099116C22semidirect
148. #19099114C22semidirect
150. #19099113C22semidirect
153. #19099111C22semidirect
157. #19099110C22semidirect
159. #19099109C22semidirect
160. #19099109C22semidirect
163. C2×#14579161C22semidirect
165. C4⋊Q8×D79C22semidirect
168. #19099100C22semidirect
170. #19099095C22semidirect
171. #19099093C22semidirect
172. #19099093C22semidirect
174. #19099091C22semidirect
175. #19099090C22semidirect
176. C2×#14579152C22semidirect
190. #19099046C22semidirect
192. #19099044C22semidirect
193. #19099043C22semidirect
194. #19099042C22semidirect
197. C4×#11929624C22semidirect
198. C4×#11929624C22semidirect
199. C2×Q8×Dic79C22semidirect
200. C2×#14579126C22semidirect
205. C2×2−1+4×C79C22semidirect
206. D4×Q8×C79C22semidirect
207. D4×Q8×C79C22semidirect
208. #547×C79C22semidirect
209. #547×C79C22semidirect
210. #547×C79C22semidirect
211. #547×C79C22semidirect
212. #536×C79C22semidirect
213. #536×C79C22semidirect
215. #532×C79C22semidirect
216. C2×C4⋊Q8×C79C22semidirect
217. C2×C4⋊Q8×C79C22semidirect
218. C4×#41×C79C22semidirect
896. C4×D792−1+4semidirect
983. #3499D79semidirect
991. C79#62835semidirect
993. C2×2−1+4C2×D79semidirect
1041. D4×Q8C2×D79semidirect
1042. D4×Q8C2×D79semidirect
1061. #547C2×D79semidirect
1062. #547C2×D79semidirect
1063. #547C2×D79semidirect
1064. #547C2×D79semidirect
1102. #536C2×D79semidirect
1103. #536C2×D79semidirect
1135. #532C2×D79semidirect
1139. C2×C4⋊Q8C2×D79semidirect
1140. C2×C4⋊Q8C2×D79semidirect
1174. C4×#41C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779612
#237779292
#237778602
#237778072
#237777972
#237777852
#237777772
#237776232
#237774782
#237774522
#237774502
#237773132
#237773112
#237773072
#237773012
#237772692
#237772642
#237772502
#237772162
#237771952
#237771832
#237771672
#237771242
#237770782
#237770732
#237766932
C2×#190991182
#532×D792
C79×#34992
#6283579