Finite Group Databasebeta

← #35197113

Subgroups — #35197113

Order 20224.

7264 conjugacy classes of subgroups.

The subgroup lattice has 1828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777980C214yesmaximal, complemented
2#23777952C214yesmaximal, complemented
3#23777837C212yesmaximal, complemented
4#23777822C214yesmaximal, complemented
5#23777791C212yesmaximal, complemented
6#23777774C212yesmaximal, complemented
7#23777730C212yesmaximal, complemented
8#23777594C214yesmaximal, complemented
9#23777451C212yesmaximal, complemented
10#23777434C212yesmaximal, complemented
11#23777432C214yesmaximal, complemented
12#23777404C212yesmaximal, complemented
13#23777363C212yesmaximal, complemented
14#23777349C214yesmaximal, complemented
15#23777324C212yesmaximal, complemented
16#23777265C211yesmaximal, characteristic, complemented
17#23777252C211yesmaximal, characteristic, complemented
18#23777235C214yesmaximal, complemented
19#23777190C212yesmaximal, complemented
20#23777171C211yesmaximal, characteristic, complemented
21#23777164C211yesmaximal, characteristic, complemented
22#23777135C214yesmaximal, complemented
23#23777076C212yesmaximal, complemented
24#23777065C212yesmaximal, complemented
25#23776696C211yesmaximal, characteristic, complemented
26C2×#19099113C211yesmaximal, characteristic, complemented
27C2×#529×C79C211yesmaximal, characteristic, complemented
28C2×#14579209C2212yescomplemented
29C2×#14579206C2212yescomplemented
30C22×#11929624C2212yescomplemented
31#19099315C2218yescomplemented
32#19099310C2218yescomplemented
33#19099304C2218yescomplemented
34#19099303C2218yescomplemented
35#19099298C2212yescomplemented
36#19099296C2214yescomplemented
37#19099291C2212yescomplemented
38#19099286C2212yescomplemented
39#19099285C2214yescomplemented
40#19099283C2212yescomplemented
41#19099278C2214yescomplemented
42#19099278C2212yescomplemented
43#19099276C2218yescomplemented
44#19099273C2212yescomplemented
45#19099270C2214yescomplemented
46#19099266C2214yescomplemented
47#19099266C2214yescomplemented
48#19099264C2218yescomplemented
49#19099263C2214yescomplemented
50#19099261C2218yescomplemented
51#19099261C2218yescomplemented
52#19099259C2214yescomplemented
53#19099259C2214yescomplemented
54#19099257C2218yescomplemented
55#19099254C2214yescomplemented
56#19099251C2214yescomplemented
57#19099251C2214yescomplemented
58#19099238C2218yescomplemented
59#19099237C2218yescomplemented
60#19099237C2218yescomplemented
61#19099236C2218yescomplemented
62#19099235C2212yescomplemented
63#19099235C2212yescomplemented
64#19099234C2214yescomplemented
65#19099234C2212yescomplemented
66#19099231C2214yescomplemented
67Q8×D316C2212yescomplemented
68Q8×D316C2212yescomplemented
69#19099226C2214yescomplemented
70#19099225C2214yescomplemented
71#19099225C2214yescomplemented
72#19099223C2214yescomplemented
73#19099221C2214yescomplemented
74#19099221C2214yescomplemented
75#19099219C2214yescomplemented
76#19099218C2212yescomplemented
77#19099217C2212yescomplemented
78#19099217C2212yescomplemented
79#19099215C2214yescomplemented
80#19099214C2218yescomplemented
81#19099210C2214yescomplemented
82#19099209C2214yescomplemented
83#19099209C2214yescomplemented
84#19099208C2214yescomplemented
85#19099208C2214yescomplemented
86#19099206C2214yescomplemented
87#19099206C2214yescomplemented
88#19099205C2218yescomplemented
89#19099204C2214yescomplemented
90#19099203C2218yescomplemented
91#19099203C2218yescomplemented
92#19099203C2218yescomplemented
93#19099203C2218yescomplemented
94D4×D316C2212yescomplemented
95D4×D316C2212yescomplemented
96D4×D316C2214yescomplemented
97#19099197C2214yescomplemented
98D4×C22⋊D79C2218yescomplemented
99#19099191C2214yescomplemented
100#19099184C2214yescomplemented
101#19099184C2214yescomplemented
102#19099179C2218yescomplemented
103#19099176C2214yescomplemented
104#19099169C2214yescomplemented
105#19099168C2214yescomplemented
106#19099168C2214yescomplemented
107#19099165C2218yescomplemented
108#19099164C2218yescomplemented
109#19099160C2214yescomplemented
110#19099157C2218yescomplemented
111#19099154C2218yescomplemented
112#19099152C2218yescomplemented
113#19099152C2218yescomplemented
114#19099151C2214yescomplemented
115#19099149C2218yescomplemented
116#19099146C2218yescomplemented
117#19099146C2218yescomplemented
118#19099144C2212yescomplemented
119#19099144C2212yescomplemented
120#19099144C2214yescomplemented
121#19099143C2214yescomplemented
122#19099142C2214yescomplemented
123#19099137C2212yescomplemented
124#19099136C2214yescomplemented
125#19099133C2214yescomplemented
126#19099132C2214yescomplemented
127#19099131C2214yescomplemented
128#19099130C2212yescomplemented
129#19099129C2214yescomplemented
130#19099125C2214yescomplemented
131#19099124C2218yescomplemented
132#19099120C2211yescharacteristic, complemented
133#19099120C2211yescharacteristic, complemented
134#19099120C2211yescharacteristic, complemented
135#19099113C2211yescharacteristic
136#19099113C2212yescomplemented
137#19099113C2212yescomplemented
138#19099113C2211yescharacteristic, complemented
139#19099113C2212yescomplemented
140#19099113C2214yescomplemented
141#19099113C2211yescharacteristic, complemented
142#19099113C2211yescharacteristic, complemented
143#19099113C2211yescharacteristic, complemented
144#19099113C2211yescharacteristic, complemented
145#19099113C2212yescomplemented
146#19099113C2212yescomplemented
147#19099113C2212yescomplemented
148#19099113C2211yescharacteristic, complemented
149#19099112C2214yescomplemented
150C2×#14579161C2211yescharacteristic, complemented
151C2×#14579158C2211yescharacteristic, complemented
152#19099098C2214yescomplemented
153#19099098C2214yescomplemented
154#19099097C2212yescomplemented
155#19099097C2212yescomplemented
156#19099097C2212yescomplemented
157#19099097C2214yescomplemented
158#19099097C2212yescomplemented
159#19099097C2212yescomplemented
160#19099097C2212yescomplemented
161C2×#14579149C2212yescomplemented
162#124×D79C2214yescomplemented
163#19099076C2214yescomplemented
164#19099074C2212yescomplemented
165#19099074C2212yescomplemented
166#19099074C2214yescomplemented
167#19099074C2212yescomplemented
168#19099073C2214yescomplemented
169C22⋊Q8×D79C2214yescomplemented
170C2×#14579135C2212yescomplemented
171C2×#14579135C2214yescomplemented
172C2×#14579135C2212yescomplemented
173#121×D79C2214yescomplemented
174#19099044C2212yescomplemented
175#19099044C2212yescomplemented
176#19099043C2214yescomplemented
177#19099037C2214yescomplemented
178#19099035C2218yescomplemented
179C4×#11929624C2212yescomplemented
180C4×#11929624C2212yescomplemented
181C4×#11929624C2212yescomplemented
182C2×C4×D316C2212yescomplemented
183C2×C4×D316C2212yescomplemented
184#529×C79C2212yescomplemented
185#529×C79C2212yescomplemented
186#529×C79C2212yescomplemented
187#529×C79C2212yescomplemented
188#529×C79C2212yescomplemented
189#529×C79C2212yescomplemented
190#529×C79C2212yescomplemented
191#529×C79C2212yescomplemented
192C2×#126×C79C2212yescomplemented
193C2×#125×C79C2211yescharacteristic, complemented
194C2×#124×C79C2211yescharacteristic, complemented
195C2×#123×C79C2212yescomplemented
196C2×C22⋊Q8×C79C2211yescharacteristic, complemented
197C2×#121×C79C2211yescharacteristic
198C2×C4×Q8×C79C2211yescharacteristic, complemented
199C2×C4×D4×C79C2211yescharacteristic, complemented
200C2×C4×D4×C79C2212yescomplemented
201C2×#117×C79C2212yescomplemented
202C22×C42×C79C2211yescharacteristic, complemented
203#14579209—48no—
204#14579206—48no—
205C2×#11929625C2314yes—
206C2×#11929625C2314yes—
207C2×#11929624—48no—
208C2×#11929624C2312yes—
209C2×#11929624C2312yes—
210C2×#11929624C2312yes—
211C2×#11929624C2314yes—
212C2×#11929624C2318yes—
213C2×#11929624C2314yes—
214C2×#11929624C2312yes—
215C2×#11929624C2312yes—
216C2×#11929624C2314yes—
217C2×#11929624C2312yes—
218C2×#11929624C2312yes—
219C2×#11929623C2314yes—
220C2×#11929623C2314yes—
221C22×Dic158C2312yes—
222C2×Q8×D79C2314yes—
223C2×Q8×D79C2314yes—
224C22×D316C2312yes—
225C22×D316C2314yes—
226C22×D316C2312yes—
227C22×D316C2312yes—
228C22×C22⋊D79C2318yes—
229C22×C22⋊D79C2314yes—
230C2×D4×D79C2314yes—
231C2×D4×D79C2314yes—
232C2×D4×D79C2318yes—
233C22×C4×D79C2314yes—
234#14579161C2312yes—
235#14579161C2312yes—
236#14579161C2314yes—
237#14579161C2311yescharacteristic
238#14579161C2311yescharacteristic
239#14579161C2311yescharacteristic
240#14579161C2311yescharacteristic
241#14579161C2311yescharacteristic
242#14579161C2312yes—
243#14579160C2318yes—
244#14579159C2314yes—
245#14579158C2312yes—
246#14579158C2314yes—
247#14579158C2312yes—
248#14579158C2311yescharacteristic
249#14579158C2311yescharacteristic
250#14579158C2311yescharacteristic
251#14579158C2312yes—
252#14579157C2318yes—
253#14579157C2314yes—
254#14579156C2318yes—
255#14579156C2318yes—
256#14579156C2318yes—
257#14579156C2318yes—
258#14579156C2318yes—
259#14579155C2318yes—
260#14579155C2314yes—
261#14579155C2314yes—
262#14579154C2318yes—
263#14579153C2312yes—
264#14579153C2312yes—
265#14579153C2314yes—
266#14579153C2312yes—
267#14579152C2318yes—
268#14579152C2318yes—
269#14579151C2318yes—
270#14579150C2314yes—
271#14579149C2318yes—
272#14579149C2312yes—
273#14579149C2314yes—
274#14579149C2312yes—
275#14579149C2314yes—
276#14579149C2312yes—
277#14579149C2312yes—
278#14579149C2312yes—
279#14579149C2314yes—
280#14579149C2312yes—
281#14579149C2312yes—
282#14579148C2314yes—
283#14579147C2318yes—
284#14579147C2318yes—
285#14579147C2318yes—
286#14579147C2318yes—
287#14579147C2318yes—
288#14579146C2318yes—
289#14579146C2318yes—
290#14579146C2318yes—
291#14579146C2318yes—
292#14579146C2318yes—
293#14579146C2318yes—
294#14579146C2318yes—
295#14579145C2318yes—
296#14579145C2318yes—
297#14579144C2318yes—
298#14579144C2314yes—
299#14579144C2318yes—
300#14579144C2314yes—
301#14579144C2314yes—
302#14579143C2318yes—
303#14579143C2318yes—
304#14579143C2318yes—
305#14579143C2318yes—
306#14579143C2318yes—
307#14579141C2314yes—
308#14579141C2314yes—
309#14579141C2318yes—
310#14579141C2318yes—
311#14579141C2314yes—
312#14579141C2314yes—
313#14579140C2312yes—
314#14579140C2312yes—
315#14579140C2314yes—
316#14579140C2312yes—
317#14579140C2312yes—
318#14579140C2312yes—
319#14579140C2312yes—
320#14579139C2318yes—
321#14579139C2318yes—
322#14579139C2318yes—
323#14579138C2318yes—
324#14579138C2318yes—
325#14579138C2318yes—
326#14579138C2318yes—
327#14579137C2314yes—
328#14579137C2314yes—
329#14579136C2314yes—
330#14579136C2318yes—
331#14579136C2318yes—
332#14579136C2318yes—
333#14579136C2314yes—
334#14579136C2314yes—
335#14579136C2314yes—
336#14579136C2318yes—
337#14579136C2318yes—
338#14579135C2312yes—
339#14579135C2312yes—
340#14579135C2318yes—
341#14579135C2312yes—
342#14579135C2318yes—
343#14579135C2314yes—
344#14579135C2318yes—
345#14579135C2312yes—
346#14579135C2312yes—
347#14579135C2312yes—
348#14579135C2314yes—
349#14579135C2314yes—
350#14579135C2314yes—
351#14579135C2312yes—
352#14579135C2314yes—
353#14579135C2314yes—
354#14579135C2312yes—
355#14579135C2312yes—
356#14579135C2312yes—
357#14579135C2314yes—
358#14579135C2312yes—
359#14579135C2312yes—
360#14579135C2312yes—
361#14579135C2312yes—
362#14579134C2318yes—
363#14579134C2318yes—
364#14579134C2318yes—
365#14579134C2318yes—
366#14579134C2318yes—
367#14579134C2318yes—
368#14579134C2318yes—
369#14579134C2318yes—
370#14579134C2318yes—
371#14579133C2318yes—
372#14579133C2318yes—
373#14579132C2318yes—
374#14579132C2314yes—
375#14579132C2314yes—
376#14579131C2318yes—
377#14579131C2318yes—
378#14579131C2318yes—
379#14579131C2318yes—
380#14579131C2318yes—
381#14579131C2318yes—
382#14579130C2318yes—
383#14579130C2314yes—
384#14579129C2318yes—
385#14579129C2318yes—
386C4×Dic158C2312yes—
387C4×Dic158C2312yes—
388C4×Dic158C2314yes—
389C4×Dic158C2312yes—
390C4×Dic158C2312yes—
391C4×Dic158C2312yes—
392C4×Dic158C2312yes—
393#14579126C2314yes—
394#14579126C2314yes—
395C4×D316C2312yes—
396C4×D316C2314yes—
397C4×D316C2318yes—
398C4×D316C2312yes—
399C4×D316C2312yes—
400C4×D316C2314yes—
401C4×D316C2314yes—
402C4×D316C2312yes—
403C4×D316C2314yes—
404C4×D316C2312yes—
405C4×D316C2312yes—
406C4×D316C2312yes—
407C4×D316C2312yes—
408C4×D316C2314yes—
409C4×D316C2314yes—
410C4×D316C2312yes—
411C4×D316C2312yes—
412C4×D316C2312yes—
413C4×D316C2312yes—
414C4×D316C2314yes—
415C4×D316C2312yes—
416C4×D316C2312yes—
417D4×Dic79C2318yes—
418#14579123C2318yes—
419#14579123C2318yes—
420#14579123C2318yes—
421#14579123C2314yes—
422#14579123C2314yes—
423C4×C22⋊D79C2314yes—
424C4×C22⋊D79C2318yes—
425C4×C22⋊D79C2314yes—
426C4×C22⋊D79C2318yes—
427C4×C22⋊D79C2318yes—
428C4×C22⋊D79C2314yes—
429C4×C22⋊D79C2314yes—
430C4×C22⋊D79C2314yes—
431C4×C22⋊D79C2314yes—
432(C22⋊D79)⋊C4C2318yes—
433(C22⋊D79)⋊C4C2318yes—
434(C22⋊D79)⋊C4C2318yes—
435(C22⋊D79)⋊C4C2318yes—
436#14579120C2312yes—
437#14579120C2314yes—
438#14579120C2312yes—
439#14579120C2312yes—
440#14579119C2314yes—
441#14579119C2318yes—
442#14579119C2318yes—
443#14579119C2314yes—
444#14579118C2318yes—
445#14579118C2314yes—
446#14579118C2314yes—
447#14579118C2314yes—
448C2×C4⋊Dic79C2312yes—
449C2×C4⋊Dic79C2314yes—
450C2×C4⋊Dic79C2312yes—
451C4⋊C4×D79C2314yes—
452C4⋊C4×D79C2314yes—
453C4⋊C4×D79C2318yes—
454C2×(C2×D79)⋊C4C2314yes—
455C2×(C2×D79)⋊C4C2318yes—
456C2×(C2×D79)⋊C4C2314yes—
457C22⋊C4×D79C2318yes—
458C22⋊C4×D79C2318yes—
459C22⋊C4×D79C2318yes—
460C22⋊C4×D79C2318yes—
461C42×D79C2314yes—
462C22×Q8×C79C2311yescharacteristic
463C22×D4×C79C2311yescharacteristic
464C22×D4×C79C2312yes—
465C23×C4×C79C2311yescharacteristic
466C23×C4×C79C2311yescharacteristic
467C23×C4×C79C2311yescharacteristic
468C23×C4×C79C2312yes—
469#126×C79C2314yes—
470#126×C79C2314yes—
471#126×C79C2314yes—
472#126×C79C2314yes—
473#125×C79C2312yes—
474#125×C79C2312yes—
475#125×C79C2312yes—
476#125×C79C2312yes—
477#124×C79C2312yes—
478#124×C79C2312yes—
479#124×C79C2312yes—
480#124×C79C2312yes—
481#123×C79C2314yes—
482#123×C79C2314yes—
483#123×C79C2314yes—
484#123×C79C2314yes—
485C22⋊Q8×C79C2312yes—
486C22⋊Q8×C79C2312yes—
487C22⋊Q8×C79C2312yes—
488C22⋊Q8×C79C2312yes—
489#121×C79C2312yes—
490#121×C79C2312yes—
491#121×C79C2312yes—
492#121×C79C2312yes—
493C4×Q8×C79C2312yes—
494C4×Q8×C79C2312yes—
495C4×Q8×C79C2312yes—
496C4×Q8×C79C2312yes—
497C4×D4×C79C2314yes—
498C4×D4×C79C2314yes—
499C4×D4×C79C2314yes—
500C4×D4×C79C2312yes—
501C4×D4×C79C2312yes—
502C4×D4×C79C2312yes—
503C4×D4×C79C2312yes—
504C4×D4×C79C2314yes—
505#117×C79C2314yes—
506#117×C79C2314yes—
507#117×C79C2314yes—
508#117×C79C2314yes—
509C2×C4⋊C4×C79C2312yes—
510C2×C4⋊C4×C79C2311yescharacteristic
511C2×C4⋊C4×C79C2311yescharacteristic
512C2×C4⋊C4×C79C2312yes—
513C2×C4⋊C4×C79C2312yes—
514C2×C4⋊C4×C79C2312yes—
515C2×C22⋊C4×C79C2312yes—
516C2×C22⋊C4×C79C2312yes—
517C2×C22⋊C4×C79C2312yes—
518C2×C22⋊C4×C79C2312yes—
519C2×C22⋊C4×C79C2312yes—
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×C79C2311yescharacteristic
530C2×C42×C79C2311yescharacteristic
531C2×C42×C79C2311yescharacteristic
532C2×C42×C79C2312yes—
533C23×D79C2414yes—
534C23×D79C2418yes—
535#11929625—48no—
536#11929625—48no—
537#11929624—28no—
538#11929624—28no—
539#11929624—28no—
540#11929624—48no—
541#11929624—44no—
542#11929624—416no—
543#11929624—44no—
544#11929624—44no—
545#11929624—48no—
546#11929624—44no—
547#11929624—48no—
548#11929623—48no—
549#11929623—48no—
550C2×Dic158—44no—
551C2×Dic158C2412yes—
552C2×Dic158C2412yes—
553C2×Dic158C2412yes—
554C2×Dic158C2412yes—
555C2×Dic158C2418yes—
556C2×Dic158C2414yes—
557C2×Dic158C2412yes—
558Q8×D79—48no—
559Q8×D79—48no—
560C2×D316—44no—
561C2×D316—44no—
562C2×D316—44no—
563C2×D316—48no—
564C2×D316C2412yes—
565C2×D316C2412yes—
566C2×D316C2412yes—
567C2×D316C2412yes—
568C2×D316C2412yes—
569C2×D316C2412yes—
570C2×D316C2414yes—
571C2×D316C2418yes—
572C2×D316C2412yes—
573C2×D316C2418yes—
574C2×D316C2418yes—
575C2×D316C2412yes—
576C2×D316C2414yes—
577C2×D316C2414yes—
578C2×D316C2412yes—
579C2×C22⋊D79—48no—
580C2×C22⋊D79—416no—
581C2×C22⋊D79C2414yes—
582C2×C22⋊D79C2414yes—
583C2×C22⋊D79C2414yes—
584C2×C22⋊D79C2414yes—
585C2×C22⋊D79C2418yes—
586C2×C22⋊D79C2418yes—
587C2×C22⋊D79C2414yes—
588C2×C22⋊D79C2414yes—
589C2×C22⋊D79C2418yes—
590C2×C22⋊D79C2414yes—
591C2×C22⋊D79C2418yes—
592D4×D79—416no—
593D4×D79—48no—
594D4×D79—48no—
595C22×Dic79C2414yes—
596C22×Dic79C2418yes—
597C2×C4×D79—48no—
598C2×C4×D79C2414yes—
599C2×C4×D79C2414yes—
600C2×C4×D79C2414yes—
601C2×C4×D79C2418yes—
602C2×C4×D79C2418yes—
603C2×C4×D79C2414yes—
604C2×C4×D79C2414yes—
605C2×C4×D79C2414yes—
606C2×C4×D79C2414yes—
607C2×C4×D79C2418yes—
608C2×C4×D79C2418yes—
609C4⋊Dic79C2412yes—
610C4⋊Dic79C2412yes—
611C4⋊Dic79C2418yes—
612C4⋊Dic79C2412yes—
613C4⋊Dic79C2412yes—
614C4⋊Dic79C2412yes—
615C4⋊Dic79C2414yes—
616C4⋊Dic79C2414yes—
617C4⋊Dic79C2412yes—
618C4⋊Dic79C2412yes—
619C4⋊Dic79C2418yes—
620C4⋊Dic79C2412yes—
621C4⋊Dic79C2412yes—
622C4⋊Dic79C2412yes—
623Dic79⋊C4C2414yes—
624Dic79⋊C4C2418yes—
625Dic79⋊C4C2418yes—
626Dic79⋊C4C2418yes—
627Dic79⋊C4C2414yes—
628Dic79⋊C4C2418yes—
629Dic79⋊C4C2414yes—
630Dic79⋊C4C2414yes—
631Dic79⋊C4C2414yes—
632Dic79⋊C4C2414yes—
633C22⋊Dic79C2414yes—
634C22⋊Dic79C2418yes—
635C22⋊Dic79C2418yes—
636C22⋊Dic79C2414yes—
637C22⋊Dic79C2414yes—
638(C2×D79)⋊C4C2414yes—
639(C2×D79)⋊C4C2414yes—
640(C2×D79)⋊C4C2414yes—
641(C2×D79)⋊C4C2418yes—
642(C2×D79)⋊C4C2418yes—
643(C2×D79)⋊C4C2418yes—
644(C2×D79)⋊C4C2418yes—
645(C2×D79)⋊C4C2414yes—
646(C2×D79)⋊C4C2414yes—
647(C2×D79)⋊C4C2414yes—
648(C2×D79)⋊C4C2414yes—
649(C2×D79)⋊C4C2418yes—
650(C2×D79)⋊C4C2414yes—
651(C2×D79)⋊C4C2414yes—
652(C2×D79)⋊C4C2414yes—
653(C2×D79)⋊C4C2414yes—
654(C2×D79)⋊C4C2414yes—
655(C2×D79)⋊C4C2414yes—
656(C2×D79)⋊C4C2414yes—
657(C2×D79)⋊C4C2418yes—
658(C2×D79)⋊C4C2418yes—
659(C2×D79)⋊C4C2418yes—
660C4×Dic79C2414yes—
661C4×Dic79C2414yes—
662C4×Dic79C2414yes—
663C4×Dic79C2418yes—
664C4×Dic79C2418yes—
665C24×C79C2411yescharacteristic
666C24×C79C2412yes—
667C2×Q8×C79—24no—
668C2×Q8×C79C2412yes—
669C2×Q8×C79C2412yes—
670C2×D4×C79—24no—
671C2×D4×C79—44no—
672C2×D4×C79C2412yes—
673C2×D4×C79C2412yes—
674C2×D4×C79C2414yes—
675C2×D4×C79C2414yes—
676C22×C4×C79—24no—
677C22×C4×C79—42no—
678C22×C4×C79—44no—
679C22×C4×C79—42no—
680C22×C4×C79C2411yescharacteristic
681C22×C4×C79C2411yescharacteristic
682C22×C4×C79C2411yescharacteristic
683C22×C4×C79C2411yescharacteristic
684C22×C4×C79C2412yes—
685C22×C4×C79C2411yescharacteristic
686C22×C4×C79C2411yescharacteristic
687C22×C4×C79C2414yes—
688C22×C4×C79C2411yescharacteristic
689C22×C4×C79C2411yescharacteristic
690C22×C4×C79C2411yescharacteristic
691C22×C4×C79C2411yescharacteristic
692C22×C4×C79C2411yescharacteristic
693C22×C4×C79C2411yescharacteristic
694C22×C4×C79C2411yescharacteristic
695C22×C4×C79C2411yescharacteristic
696C22×C4×C79C2411yescharacteristic
697C22×C4×C79C2411yescharacteristic
698C22×C4×C79C2411yescharacteristic
699C22×C4×C79C2412yes—
700C22×C4×C79C2412yes—
701C22×C4×C79C2414yes—
702C22×C4×C79C2411yescharacteristic
703C4⋊C4×C79C2414yes—
704C4⋊C4×C79C2414yes—
705C4⋊C4×C79C2414yes—
706C4⋊C4×C79C2414yes—
707C4⋊C4×C79C2412yes—
708C4⋊C4×C79C2412yes—
709C4⋊C4×C79C2414yes—
710C4⋊C4×C79C2414yes—
711C4⋊C4×C79C2412yes—
712C4⋊C4×C79C2412yes—
713C4⋊C4×C79C2414yes—
714C4⋊C4×C79C2414yes—
715C22⋊C4×C79C2414yes—
716C22⋊C4×C79C2414yes—
717C22⋊C4×C79C2414yes—
718C22⋊C4×C79C2414yes—
719C22⋊C4×C79C2414yes—
720C22⋊C4×C79C2414yes—
721C22⋊C4×C79C2414yes—
722C22⋊C4×C79C2414yes—
723C22⋊C4×C79C2414yes—
724C22⋊C4×C79C2414yes—
725C42×C79C2411yescharacteristic
726C42×C79C2411yescharacteristic
727C42×C79C2411yescharacteristic
728C42×C79C2411yescharacteristic
729C42×C79C2411yescharacteristic
730C42×C79C2411yescharacteristic
731C42×C79C2411yescharacteristic
732C42×C79C2411yescharacteristic
733C42×C79C2411yescharacteristic
734C42×C79C2411yescharacteristic
735C42×C79C2411yescharacteristic
736C42×C79C2411yescharacteristic
737C42×C79C2411yescharacteristic
738C42×C79C2411yescharacteristic
739C42×C79C2411yescharacteristic
740C42×C79C2411yescharacteristic
741C42×C79C2414yes—
742C42×C79C2414yes—
743C23×C79—22no—
744C23×C79—22no—
745C23×C79—24no—
746C23×C79—41no—
747C23×C79—42no—
748C23×C79—42no—
749C23×C79C2514yes—
750C23×C79C2511yescharacteristic
751C23×C79C2511yescharacteristic
752C23×C79C2511yescharacteristic
753C22×D79—28no—
754C22×D79—44no—
755C22×D79—44no—
756C22×D79—48no—
757C22×D79—48no—
758C22×D79—48no—
759C22×D79C2514yes—
760C22×D79C2514yes—
761C22×D79C2514yes—
762Q8×C79—24no—
763Q8×C79—24no—
764D4×C79—28no—
765D4×C79—24no—
766D4×C79—24no—
767D4×C79—44no—
768C2×C4×C79—22no—
769C2×C4×C79—24no—
770C2×C4×C79—22no—
771C2×C4×C79—22no—
772C2×C4×C79—22no—
773C2×C4×C79—22no—
774C2×C4×C79—22no—
775C2×C4×C79—22no—
776C2×C4×C79—22no—
777C2×C4×C79—28no—
778C2×C4×C79—22no—
779C2×C4×C79—22no—
780C2×C4×C79—41no—
781C2×C4×C79—44no—
782C2×C4×C79—41no—
783C2×C4×C79—41no—
784C2×C4×C79—41no—
785C2×C4×C79—41no—
786C2×C4×C79—41no—
787C2×C4×C79—41no—
788C2×C4×C79—42no—
789C2×C4×C79—42no—
790C2×C4×C79H(5,𝔽2)14yes—
791C2×C4×C79C2511yescharacteristic
792C2×C4×C79C2511yescharacteristic
793C2×C4×C79C2514yes—
794C2×C4×C79C2514yes—
795C2×C4×C79C2511yescharacteristic
796C2×C4×C79C2511yescharacteristic
797C2×C4×C79C2511yescharacteristic
798C2×C4×C79C2511yescharacteristic
799C2×C4×C79C2511yescharacteristic
800C2×C4×C79C2511yescharacteristic
801C2×C4×C79C2514yes—
802C2×C4×C79C2511yescharacteristic
803C2×C4×C79C2511yescharacteristic
804C2×C4×C79C2511yescharacteristic
805C2×C4×C79C2511yescharacteristic
806C22⋊D79—28no—
807C22⋊D79—28no—
808C22⋊D79—28no—
809C22⋊D79—28no—
810C22⋊D79—48no—
811C22⋊D79—48no—
812C22⋊D79—48no—
813C22⋊D79—44no—
814C22⋊D79—44no—
815C22⋊D79—48no—
816C22⋊D79—44no—
817C2×Dic79—44no—
818C2×Dic79—48no—
819C2×Dic79C2514yes—
820C2×Dic79C2514yes—
821C2×Dic79C2514yes—
822C2×Dic79C2514yes—
823C2×Dic79C2514yes—
824D316—24no—
825D316—24no—
826D316—24no—
827D316—24no—
828D316—24no—
829D316—24no—
830D316—48no—
831D316—48no—
832D316—42no—
833D316—44no—
834D316—44no—
835D316—42no—
836D316—44no—
837D316—42no—
838D316—48no—
839C4×D79—28no—
840C4×D79—28no—
841C4×D79—28no—
842C4×D79—44no—
843C4×D79—44no—
844C4×D79—48no—
845C4×D79—48no—
846C4×D79—48no—
847C4×D79—44no—
848C4×D79—44no—
849C4×D79—48no—
850Dic158—24no—
851Dic158—24no—
852Dic158—24no—
853Dic158—24no—
854Dic158—48no—
855Dic158—44no—
856Dic158—42no—
857C22×C79—21no—
858C22×C79—21no—
859C22×C79—21no—
860C22×C79—21no—
861C22×C79—21no—
862C22×C79—24no—
863C22×C79—21no—
864C22×C79—24no—
865C22×C79—24no—
866C22×C79—21no—
867C22×C79—44no—
868C22×C79—84no—
869C22×C79C2×H(5,𝔽2)12yes—
870C22×C79#58512yes—
871C22×C79C2611yescharacteristic
872C2×D79—24no—
873C2×D79—24no—
874C2×D79—24no—
875C2×D79—24no—
876C2×D79—24no—
877C2×D79—24no—
878C2×D79—24no—
879C2×D79—24no—
880C2×D79—24no—
881C2×D79—88no—
882C2×D79—168no—
883C4×C79—21no—
884C4×C79—21no—
885C4×C79—24no—
886C4×C79—21no—
887C4×C79—21no—
888C4×C79—21no—
889C4×C79—21no—
890C4×C79—24no—
891C4×C79—21no—
892C4×C79—21no—
893C4×C79—21no—
894C4×C79—24no—
895C4×C79C2×H(5,𝔽2)12yes—
896C4×C79C2×H(5,𝔽2)12yes—
897C4×C79#58512yes—
898Dic79—24no—
899Dic79—24no—
900Dic79—24no—
901Dic79—24no—
902Dic79—24no—
903#62830—791nomaximal, Sylow
904C2×C79—22no—
905C2×C79—22no—
906C2×C79—44no—
907C2×C79—41no—
908C2×C79C22×H(5,𝔽2)11yescharacteristic
909C2×C79C2×#58511yescharacteristic
910C2×C79C2×#58511yescharacteristic
911D79—44no—
912D79—44no—
913D79—44no—
914#3562—794no—
915#3560—794no—
916#3552—792no—
917#3551—794no—
918#3547—792no—
919#3546—792no—
920#3543—792no—
921#3534—794no—
922#3520—792no—
923#3519—792no—
924#3519—794no—
925#3517—792no—
926#3514—794no—
927#3514—792no—
928#3512—792no—
929#3507—791no—
930#3506—791no—
931#3505—794no—
932#3500—792no—
933#3497—791no—
934#3496—791no—
935#3494—794no—
936#3489—792no—
937#3488—792no—
938#3444—791no—
939C2×#532—791no—
940C2×#529D7911yescharacteristic, complemented
941C79#6283011yescharacteristic, complemented, Sylow
942C2×2−1+4—792no—
943C2×H(5,𝔽2)—792no—
944C22×#41—792no—
945#563—798no—
946#562—798no—
947#560—798no—
948#560—798no—
949#559—792no—
950#559—794no—
951#557—792no—
952#556—794no—
953#556—792no—
954#556—792no—
955#555—792no—
956#555—794no—
957#555—798no—
958#554—792no—
959#554—794no—
960#553—798no—
961#553—794no—
962#553—794no—
963#553—794no—
964#553—794no—
965#553—794no—
966#553—798no—
967#553—798no—
968#553—798no—
969#552—794no—
970#552—794no—
971#552—794no—
972#551—798no—
973#551—798no—
974#551—798no—
975#551—798no—
976#550—794no—
977#550—792no—
978#550—792no—
979#550—792no—
980#550—794no—
981D4×Q8—794no—
982D4×Q8—792no—
983D4×Q8—792no—
984#548—794no—
985#548—794no—
986#548—794no—
987#548—794no—
988#548—794no—
989#548—794no—
990#547—794no—
991#547—792no—
992#547—792no—
993#547—792no—
994#547—798no—
995#546—794no—
996#546—794no—
997#546—798no—
998#546—794no—
999#546—794no—
1000#546—794no—
1001#546—794no—
1002#546—794no—
1003#546—794no—
1004#546—798no—
1005#546—798no—
1006#546—798no—
1007#546—798no—
1008D42—798no—
1009D42—794no—
1010D42—792no—
1011D42—792no—
1012D42—794no—
1013#544—794no—
1014#542—798no—
1015#542—794no—
1016#542—794no—
1017#541—794no—
1018#540—794no—
1019#540—798no—
1020#540—798no—
1021#540—794no—
1022#540—794no—
1023#539—798no—
1024#539—798no—
1025#539—794no—
1026#538—798no—
1027#538—798no—
1028#538—798no—
1029#538—798no—
1030#538—798no—
1031#538—794no—
1032#537—794no—
1033#537—794no—
1034#537—792no—
1035#537—792no—
1036#537—794no—
1037#536—792no—
1038#536—794no—
1039#536—794no—
1040#535—792no—
1041#535—794no—
1042#535—794no—
1043#535—794no—
1044#534—798no—
1045#534—794no—
1046#533—791no—
1047#533—791no—
1048#533—791no—
1049#532—794no—
1050#532—792no—
1051#532—791no—
1052#532—791no—
1053#532—792no—
1054#532—791no—
1055#532—791no—
1056#532—792no—
1057#532—792no—
1058#532—792no—
1059#532—792no—
1060#532—791no—
1061#532—791no—
1062#532—791no—
1063#532—794no—
1064C2×C4⋊Q8—791no—
1065C2×#127—791no—
1066#529—794no—
1067#529—794no—
1068#529—792no—
1069#529—792no—
1070#529—792no—
1071#529—792no—
1072#529—792no—
1073#529—792no—
1074#529—794no—
1075#529C2×D7912yescomplemented
1076#529C2×D7912yescomplemented
1077#529C2×D7912yescomplemented
1078#529C2×D7912yescomplemented
1079#529C2×D7912yescomplemented
1080#529C2×D7912yescomplemented
1081#529C2×D7912yescomplemented
1082#529C2×D7912yescomplemented
1083C2×#126C2×D7912yescomplemented
1084C2×#125C2×D7911yescharacteristic, complemented
1085C2×#124—794no—
1086C2×#124—792no—
1087C2×#124C2×D7911yescharacteristic, complemented
1088#525—792no—
1089#525—792no—
1090#525—792no—
1091#525—794no—
1092#525—794no—
1093#525—794no—
1094C2×#123C2×D7912yescomplemented
1095C2×C22⋊Q8—794no—
1096C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1097C2×#121—792no—
1098C2×#121—792no—
1099C2×#121—794no—
1100C2×#121—794no—
1101C2×#121C2×D7911yescharacteristic
1102#520—794no—
1103#520—792no—
1104#520—792no—
1105#518—798no—
1106#518—794no—
1107C4×#41—792no—
1108C4×#41—792no—
1109C4×#41—792no—
1110C2×C4×Q8C2×D7911yescharacteristic, complemented
1111C2×C4×D4—792no—
1112C2×C4×D4—792no—
1113C2×C4×D4C2×D7911yescharacteristic, complemented
1114C2×C4×D4C2×D7912yescomplemented
1115C2×#117C2×D7912yescomplemented
1116C22×C42C2×D7911yescharacteristic, complemented
11172−1+4—3168no—
1118H(5,𝔽2)—3168no—
1119C2×#41—3168no—
1120C2×#41—794no—
1121C2×#41—794no—
1122C2×#41—794no—
1123C2×#41—794no—
1124C2×#41—792no—
1125C2×#41—792no—
1126C2×#41—794no—
1127C2×#41—794no—
1128C2×#41—794no—
1129C2×#41—792no—
1130C2×#41—792no—
1131C2×#41—798no—
1132C2×#41—792no—
1133C2×#41—792no—
1134C2×#41—792no—
1135C22×Q8—794no—
1136C22×Q8—794no—
1137C22×Q8—792no—
1138C22×Q8C22×D7911yescharacteristic
1139C22×D4—794no—
1140C22×D4—798no—
1141C22×D4—798no—
1142C22×D4—794no—
1143C22×D4—794no—
1144C22×D4—792no—
1145C22×D4—792no—
1146C22×D4—794no—
1147C22×D4—792no—
1148C22×D4C22×D7911yescharacteristic
1149C22×D4C22×D7912yes—
1150C23×C4—794no—
1151C23×C4C22×D7911yescharacteristic
1152C23×C4C22×D7912yes—
1153C23×C4C22×D7911yescharacteristic
1154C23×C4C22×D7911yescharacteristic
1155C4⋊Q8—794no—
1156C4⋊Q8—798no—
1157C4⋊Q8—792no—
1158C4⋊Q8—792no—
1159C4⋊Q8—791no—
1160C4⋊Q8—791no—
1161C4⋊Q8—792no—
1162C4⋊Q8—791no—
1163C4⋊Q8—791no—
1164C4⋊Q8—791no—
1165C4⋊Q8—794no—
1166#127—794no—
1167#127—798no—
1168#127—792no—
1169#127—792no—
1170#127—791no—
1171#127—791no—
1172#127—792no—
1173#127—791no—
1174#127—794no—
1175#126—798no—
1176#126—798no—
1177#126—798no—
1178#126—798no—
1179#126—798no—
1180#126—798no—
1181#126—794no—
1182#126—794no—
1183#126—798no—
1184#126C22×D7914yes—
1185#126C22×D7914yes—
1186#126C22×D7914yes—
1187#126C22×D7914yes—
1188#125—798no—
1189#125—798no—
1190#125—798no—
1191#125—792no—
1192#125—792no—
1193#125—792no—
1194#125—794no—
1195#125C22×D7912yes—
1196#125C22×D7912yes—
1197#125C22×D7912yes—
1198#125C22×D7912yes—
1199#124—794no—
1200#124—794no—
1201#124—798no—
1202#124—798no—
1203#124—798no—
1204#124—798no—
1205#124—798no—
1206#124—792no—
1207#124—792no—
1208#124—794no—
1209#124—792no—
1210#124—792no—
1211#124—794no—
1212#124—792no—
1213#124—792no—
1214#124—792no—
1215#124—794no—
1216#124—798no—
1217#124C22×D7912yes—
1218#124C22×D7912yes—
1219#124C22×D7912yes—
1220#124C22×D7912yes—
1221#123—794no—
1222#123—794no—
1223#123—794no—
1224#123—798no—
1225#123—798no—
1226#123—798no—
1227#123—798no—
1228#123—798no—
1229#123—798no—
1230#123—798no—
1231#123—798no—
1232#123—798no—
1233#123—798no—
1234#123—798no—
1235#123—798no—
1236#123—798no—
1237#123—798no—
1238#123—798no—
1239#123—798no—
1240#123C22×D7914yes—
1241#123C22×D7914yes—
1242#123C22×D7914yes—
1243#123C22×D7914yes—
1244C22⋊Q8—794no—
1245C22⋊Q8—794no—
1246C22⋊Q8—792no—
1247C22⋊Q8—792no—
1248C22⋊Q8—792no—
1249C22⋊Q8—792no—
1250C22⋊Q8—792no—
1251C22⋊Q8—792no—
1252C22⋊Q8—794no—
1253C22⋊Q8—794no—
1254C22⋊Q8—798no—
1255C22⋊Q8—794no—
1256C22⋊Q8—794no—
1257C22⋊Q8—794no—
1258C22⋊Q8—798no—
1259C22⋊Q8—798no—
1260C22⋊Q8—798no—
1261C22⋊Q8—798no—
1262C22⋊Q8—798no—
1263C22⋊Q8—798no—
1264C22⋊Q8—798no—
1265C22⋊Q8—798no—
1266C22⋊Q8C22×D7912yes—
1267C22⋊Q8C22×D7912yes—
1268C22⋊Q8C22×D7912yes—
1269C22⋊Q8C22×D7912yes—
1270#121—794no—
1271#121—798no—
1272#121—794no—
1273#121—798no—
1274#121—798no—
1275#121—792no—
1276#121—792no—
1277#121—792no—
1278#121—792no—
1279#121—792no—
1280#121—792no—
1281#121—792no—
1282#121—794no—
1283#121—792no—
1284#121—794no—
1285#121—794no—
1286#121—792no—
1287#121—792no—
1288#121—794no—
1289#121—798no—
1290#121—798no—
1291#121—794no—
1292#121—794no—
1293#121—792no—
1294#121—792no—
1295#121—792no—
1296#121—792no—
1297#121—794no—
1298#121—798no—
1299#121—794no—
1300#121—794no—
1301#121—794no—
1302#121—794no—
1303#121—798no—
1304#121—798no—
1305#121—798no—
1306#121—798no—
1307#121—798no—
1308#121—798no—
1309#121—798no—
1310#121—798no—
1311#121—798no—
1312#121—798no—
1313#121—798no—
1314#121—798no—
1315#121—798no—
1316#121—798no—
1317#121C22×D7912yes—
1318#121C22×D7912yes—
1319#121C22×D7912yes—
1320#121C22×D7912yes—
1321#120—794no—
1322#120—798no—
1323#120—798no—
1324#120—798no—
1325#120—798no—
1326#120—798no—
1327#120—798no—
1328#120—798no—
1329#120—798no—
1330#120—798no—
1331C4×Q8—794no—
1332C4×Q8—794no—
1333C4×Q8—792no—
1334C4×Q8—792no—
1335C4×Q8—792no—
1336C4×Q8—792no—
1337C4×Q8—792no—
1338C4×Q8—792no—
1339C4×Q8—794no—
1340C4×Q8C22×D7912yes—
1341C4×Q8C22×D7912yes—
1342C4×Q8C22×D7912yes—
1343C4×Q8C22×D7912yes—
1344C4×D4—798no—
1345C4×D4—794no—
1346C4×D4—794no—
1347C4×D4—794no—
1348C4×D4—794no—
1349C4×D4—794no—
1350C4×D4—794no—
1351C4×D4—798no—
1352C4×D4—798no—
1353C4×D4—798no—
1354C4×D4—798no—
1355C4×D4—798no—
1356C4×D4—798no—
1357C4×D4—794no—
1358C4×D4—794no—
1359C4×D4—798no—
1360C4×D4—798no—
1361C4×D4—798no—
1362C4×D4—798no—
1363C4×D4—792no—
1364C4×D4—792no—
1365C4×D4—794no—
1366C4×D4—792no—
1367C4×D4—792no—
1368C4×D4—794no—
1369C4×D4—794no—
1370C4×D4—792no—
1371C4×D4—792no—
1372C4×D4—792no—
1373C4×D4—794no—
1374C4×D4—792no—
1375C4×D4—792no—
1376C4×D4—792no—
1377C4×D4—792no—
1378C4×D4—792no—
1379C4×D4—792no—
1380C4×D4—792no—
1381C4×D4—794no—
1382C4×D4—798no—
1383C4×D4—794no—
1384C4×D4—794no—
1385C4×D4C22×D7914yes—
1386C4×D4C22×D7914yes—
1387C4×D4C22×D7914yes—
1388C4×D4C22×D7912yes—
1389C4×D4C22×D7912yes—
1390C4×D4C22×D7912yes—
1391C4×D4C22×D7912yes—
1392C4×D4C22×D7914yes—
1393#117—792no—
1394#117—792no—
1395#117—792no—
1396#117—794no—
1397#117—798no—
1398#117—794no—
1399#117—794no—
1400#117—798no—
1401#117—794no—
1402#117—794no—
1403#117—794no—
1404#117—798no—
1405#117C22×D7914yes—
1406#117C22×D7914yes—
1407#117C22×D7914yes—
1408#117C22×D7914yes—
1409C2×C4⋊C4—792no—
1410C2×C4⋊C4—792no—
1411C2×C4⋊C4—794no—
1412C2×C4⋊C4—794no—
1413C2×C4⋊C4—794no—
1414C2×C4⋊C4—798no—
1415C2×C4⋊C4C22×D7912yes—
1416C2×C4⋊C4C22×D7912yes—
1417C2×C4⋊C4C22×D7911yescharacteristic
1418C2×C4⋊C4C22×D7912yes—
1419C2×C4⋊C4C22×D7911yescharacteristic
1420C2×C4⋊C4C22×D7912yes—
1421C2×C22⋊C4—794no—
1422C2×C22⋊C4—794no—
1423C2×C22⋊C4—798no—
1424C2×C22⋊C4—798no—
1425C2×C22⋊C4—798no—
1426C2×C22⋊C4—798no—
1427C2×C22⋊C4—798no—
1428C2×C22⋊C4C22×D7912yes—
1429C2×C22⋊C4C22×D7912yes—
1430C2×C22⋊C4C22×D7912yes—
1431C2×C22⋊C4C22×D7912yes—
1432C2×C22⋊C4C22×D7912yes—
1433C2×C42—794no—
1434C2×C42C22×D7911yescharacteristic
1435C2×C42C22×D7912yes—
1436C2×C42C22×D7911yescharacteristic
1437C2×C42C22×D7911yescharacteristic
1438C2×C42C22×D7911yescharacteristic
1439C2×C42C22×D7911yescharacteristic
1440C2×C42C22×D7911yescharacteristic
1441C2×C42C22×D7911yescharacteristic
1442C2×C42C22×D7911yescharacteristic
1443C2×C42C22×D7911yescharacteristic
1444C2×C42C22×D7911yescharacteristic
1445C2×C42C22×D7911yescharacteristic
1446C2×C42C22×D7911yescharacteristic
1447C24—798no—
1448C24—794no—
1449C24C23×D7911yescharacteristic
1450C24C23×D7912yes—
1451#41—3164no—
1452#41—3164no—
1453#41—3168no—
1454#41—3164no—
1455#41—3168no—
1456#41—3164no—
1457#41—31616no—
1458#41—3168no—
1459#41—3168no—
1460#41—3168no—
1461#41—3168no—
1462#41—3168no—
1463#41—1588no—
1464#41—1588no—
1465#41—1588no—
1466C2×Q8—24no—
1467C2×Q8—3164no—
1468C2×Q8—3168no—
1469C2×Q8—3168no—
1470C2×Q8—792no—
1471C2×Q8—798no—
1472C2×Q8—794no—
1473C2×Q8—792no—
1474C2×Q8—792no—
1475C2×Q8—792no—
1476C2×Q8—792no—
1477C2×Q8C23×D7912yes—
1478C2×Q8C23×D7912yes—
1479C2×D4—24no—
1480C2×D4—44no—
1481C2×D4—3164no—
1482C2×D4—3164no—
1483C2×D4—3168no—
1484C2×D4—3164no—
1485C2×D4—31616no—
1486C2×D4—3168no—
1487C2×D4—31616no—
1488C2×D4—3168no—
1489C2×D4—3168no—
1490C2×D4—798no—
1491C2×D4—794no—
1492C2×D4—798no—
1493C2×D4—794no—
1494C2×D4—798no—
1495C2×D4—798no—
1496C2×D4—794no—
1497C2×D4—794no—
1498C2×D4—794no—
1499C2×D4—794no—
1500C2×D4—794no—
1501C2×D4—792no—
1502C2×D4—792no—
1503C2×D4—798no—
1504C2×D4—794no—
1505C2×D4—794no—
1506C2×D4—798no—
1507C2×D4—792no—
1508C2×D4—798no—
1509C2×D4—794no—
1510C2×D4—792no—
1511C2×D4—792no—
1512C2×D4—792no—
1513C2×D4—792no—
1514C2×D4—792no—
1515C2×D4—792no—
1516C2×D4C23×D7914yes—
1517C2×D4C23×D7912yes—
1518C2×D4C23×D7912yes—
1519C2×D4C23×D7914yes—
1520C22×C4—24no—
1521C22×C4—42no—
1522C22×C4—44no—
1523C22×C4—42no—
1524C22×C4—3168no—
1525C22×C4—794no—
1526C22×C4—798no—
1527C22×C4—794no—
1528C22×C4—794no—
1529C22×C4—794no—
1530C22×C4—798no—
1531C22×C4—798no—
1532C22×C4—798no—
1533C22×C4—798no—
1534C22×C4—794no—
1535C22×C4—794no—
1536C22×C4—794no—
1537C22×C4—794no—
1538C22×C4C23×D7911yescharacteristic
1539C22×C4C23×D7911yescharacteristic
1540C22×C4C23×D7911yescharacteristic
1541C22×C4C23×D7911yescharacteristic
1542C22×C4C23×D7911yescharacteristic
1543C22×C4C23×D7911yescharacteristic
1544C22×C4C23×D7911yescharacteristic
1545C22×C4C23×D7911yescharacteristic
1546C22×C4C23×D7911yescharacteristic
1547C22×C4C23×D7911yescharacteristic
1548C22×C4C23×D7912yes—
1549C22×C4C23×D7914yes—
1550C22×C4C23×D7911yescharacteristic
1551C22×C4C23×D7911yescharacteristic
1552C22×C4C23×D7911yescharacteristic
1553C22×C4C23×D7911yescharacteristic
1554C22×C4C23×D7911yescharacteristic
1555C22×C4C23×D7911yescharacteristic
1556C22×C4C23×D7911yescharacteristic
1557C22×C4C23×D7912yes—
1558C22×C4C23×D7914yes—
1559C22×C4C23×D7912yes—
1560C22×C4C23×D7911yescharacteristic
1561C4⋊C4—794no—
1562C4⋊C4—798no—
1563C4⋊C4—798no—
1564C4⋊C4—798no—
1565C4⋊C4—794no—
1566C4⋊C4—798no—
1567C4⋊C4—794no—
1568C4⋊C4—794no—
1569C4⋊C4—794no—
1570C4⋊C4—794no—
1571C4⋊C4—792no—
1572C4⋊C4—792no—
1573C4⋊C4—792no—
1574C4⋊C4—792no—
1575C4⋊C4—798no—
1576C4⋊C4—792no—
1577C4⋊C4—792no—
1578C4⋊C4—794no—
1579C4⋊C4—794no—
1580C4⋊C4—792no—
1581C4⋊C4—792no—
1582C4⋊C4—798no—
1583C4⋊C4—792no—
1584C4⋊C4—792no—
1585C4⋊C4C23×D7912yes—
1586C4⋊C4C23×D7912yes—
1587C4⋊C4C23×D7914yes—
1588C4⋊C4C23×D7914yes—
1589C4⋊C4C23×D7914yes—
1590C4⋊C4C23×D7914yes—
1591C4⋊C4C23×D7914yes—
1592C4⋊C4C23×D7912yes—
1593C4⋊C4C23×D7912yes—
1594C4⋊C4C23×D7914yes—
1595C4⋊C4C23×D7914yes—
1596C4⋊C4C23×D7914yes—
1597C22⋊C4—794no—
1598C22⋊C4—798no—
1599C22⋊C4—798no—
1600C22⋊C4—794no—
1601C22⋊C4—794no—
1602C22⋊C4—794no—
1603C22⋊C4—794no—
1604C22⋊C4—794no—
1605C22⋊C4—794no—
1606C22⋊C4—794no—
1607C22⋊C4—798no—
1608C22⋊C4—798no—
1609C22⋊C4—794no—
1610C22⋊C4—794no—
1611C22⋊C4—794no—
1612C22⋊C4—794no—
1613C22⋊C4—798no—
1614C22⋊C4—798no—
1615C22⋊C4—798no—
1616C22⋊C4—794no—
1617C22⋊C4—798no—
1618C22⋊C4—794no—
1619C22⋊C4—794no—
1620C22⋊C4—794no—
1621C22⋊C4—794no—
1622C22⋊C4—798no—
1623C22⋊C4—798no—
1624C22⋊C4C23×D7914yes—
1625C22⋊C4C23×D7914yes—
1626C22⋊C4C23×D7914yes—
1627C22⋊C4C23×D7914yes—
1628C22⋊C4C23×D7914yes—
1629C22⋊C4C23×D7914yes—
1630C22⋊C4C23×D7914yes—
1631C22⋊C4C23×D7914yes—
1632C22⋊C4C23×D7914yes—
1633C22⋊C4C23×D7914yes—
1634C42—794no—
1635C42—794no—
1636C42—794no—
1637C42—798no—
1638C42—798no—
1639C42C23×D7911yescharacteristic
1640C42C23×D7911yescharacteristic
1641C42C23×D7911yescharacteristic
1642C42C23×D7911yescharacteristic
1643C42C23×D7911yescharacteristic
1644C42C23×D7911yescharacteristic
1645C42C23×D7911yescharacteristic
1646C42C23×D7911yescharacteristic
1647C42C23×D7911yescharacteristic
1648C42C23×D7911yescharacteristic
1649C42C23×D7911yescharacteristic
1650C42C23×D7911yescharacteristic
1651C42C23×D7911yescharacteristic
1652C42C23×D7911yescharacteristic
1653C42C23×D7911yescharacteristic
1654C42C23×D7911yescharacteristic
1655C42C23×D7914yes—
1656C42C23×D7914yes—
1657C23—22no—
1658C23—22no—
1659C23—24no—
1660C23—41no—
1661C23—42no—
1662C23—42no—
1663C23—3164no—
1664C23—3164no—
1665C23—3168no—
1666C23—3168no—
1667C23—3168no—
1668C23—794no—
1669C23—794no—
1670C23—794no—
1671C23—1588no—
1672C23C24×D7914yes—
1673C23C24×D7911yescharacteristic
1674C23C24×D7911yescharacteristic
1675C23C24×D7911yescharacteristic
1676Q8—24no—
1677Q8—24no—
1678Q8—3168no—
1679Q8—3164no—
1680Q8—3162no—
1681Q8—1584no—
1682Q8—1584no—
1683Q8—1584no—
1684Q8—1584no—
1685D4—28no—
1686D4—24no—
1687D4—24no—
1688D4—44no—
1689D4—3164no—
1690D4—3168no—
1691D4—3164no—
1692D4—3162no—
1693D4—3164no—
1694D4—3162no—
1695D4—3168no—
1696D4—3168no—
1697D4—3162no—
1698D4—3168no—
1699D4—3168no—
1700D4—3168no—
1701D4—3164no—
1702D4—3164no—
1703D4—3164no—
1704D4—3168no—
1705D4—1588no—
1706D4—1588no—
1707D4—1588no—
1708D4—1588no—
1709D4—1584no—
1710D4—1584no—
1711D4—1584no—
1712D4—1584no—
1713D4—1584no—
1714D4—1584no—
1715C2×C4—22no—
1716C2×C4—24no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—28no—
1726C2×C4—22no—
1727C2×C4—41no—
1728C2×C4—44no—
1729C2×C4—41no—
1730C2×C4—41no—
1731C2×C4—41no—
1732C2×C4—41no—
1733C2×C4—42no—
1734C2×C4—41no—
1735C2×C4—41no—
1736C2×C4—42no—
1737C2×C4—3164no—
1738C2×C4—3164no—
1739C2×C4—3168no—
1740C2×C4—3168no—
1741C2×C4—3168no—
1742C2×C4—3164no—
1743C2×C4—3164no—
1744C2×C4—3168no—
1745C2×C4—3164no—
1746C2×C4—3168no—
1747C2×C4—794no—
1748C2×C4—794no—
1749C2×C4—794no—
1750C2×C4—794no—
1751C2×C4—794no—
1752C2×C4—1588no—
1753C2×C4—1588no—
1754C2×C4—1588no—
1755C2×C4#1457920714yes—
1756C2×C4C24×D7911yescharacteristic
1757C2×C4C24×D7911yescharacteristic
1758C2×C4C24×D7914yes—
1759C2×C4C24×D7914yes—
1760C2×C4C24×D7911yescharacteristic
1761C2×C4C24×D7911yescharacteristic
1762C2×C4C24×D7911yescharacteristic
1763C2×C4C24×D7911yescharacteristic
1764C2×C4C24×D7911yescharacteristic
1765C2×C4C24×D7911yescharacteristic
1766C2×C4C24×D7911yescharacteristic
1767C2×C4C24×D7914yes—
1768C2×C4C24×D7911yescharacteristic
1769C2×C4C24×D7911yescharacteristic
1770C2×C4C24×D7911yescharacteristic
1771C22—21no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—24no—
1777C22—21no—
1778C22—24no—
1779C22—21no—
1780C22—24no—
1781C22—44no—
1782C22—84no—
1783C22—6328no—
1784C22—1584no—
1785C22—1584no—
1786C22—1584no—
1787C22—1584no—
1788C22—1584no—
1789C22—1584no—
1790C22—1584no—
1791C22—1584no—
1792C22—1584no—
1793C22—12648no—
1794C22C2×#1457920712yes—
1795C22#1909939912yes—
1796C22C25×D7911yescharacteristic
1797C4—21no—
1798C4—21no—
1799C4—24no—
1800C4—21no—
1801C4—21no—
1802C4—21no—
1803C4—24no—
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—24no—
1809C4—1584no—
1810C4—1584no—
1811C4—1584no—
1812C4—1584no—
1813C4—1584no—
1814C4C2×#1457920712yes—
1815C4C2×#1457920712yes—
1816C4#1909939912yes—
1817C2—22no—
1818C2—22no—
1819C2—41no—
1820C2—44no—
1821C2—3164no—
1822C2—3164no—
1823C2—3164no—
1824C2C22×#1457920711yescharacteristic
1825C2C2×#1909939911yescharacteristic
1826C2C2×#1909939911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC2×#529×C79C2
hypercenterC2×#529D79
hypocenterC79#62830
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. #23777980C2semidirect
2. #23777952C2semidirect
3. #23777837C2semidirect
4. #23777822C2semidirect
5. #23777791C2semidirect
6. #23777774C2semidirect
7. #23777730C2semidirect
8. #23777594C2semidirect
9. #23777451C2semidirect
10. #23777434C2semidirect
11. #23777432C2semidirect
12. #23777404C2semidirect
13. #23777363C2semidirect
14. #23777349C2semidirect
15. #23777324C2semidirect
16. #23777265C2semidirect
17. #23777252C2semidirect
18. #23777235C2semidirect
19. #23777190C2semidirect
20. #23777171C2semidirect
21. #23777164C2semidirect
22. #23777135C2semidirect
23. #23777076C2semidirect
24. #23777065C2semidirect
25. #23776696C2semidirect
26. C2×#19099113C2semidirect
27. C2×#529×C79C2semidirect
28. C2×#14579209C22semidirect
29. C2×#14579206C22semidirect
30. C22×#11929624C22semidirect
31. #19099315C22semidirect
32. #19099310C22semidirect
33. #19099304C22semidirect
34. #19099303C22semidirect
35. #19099298C22semidirect
36. #19099296C22semidirect
37. #19099291C22semidirect
38. #19099286C22semidirect
39. #19099285C22semidirect
40. #19099283C22semidirect
41. #19099278C22semidirect
42. #19099278C22semidirect
43. #19099276C22semidirect
44. #19099273C22semidirect
45. #19099270C22semidirect
46. #19099266C22semidirect
47. #19099266C22semidirect
48. #19099264C22semidirect
49. #19099263C22semidirect
50. #19099261C22semidirect
51. #19099261C22semidirect
52. #19099259C22semidirect
53. #19099259C22semidirect
54. #19099257C22semidirect
55. #19099254C22semidirect
56. #19099251C22semidirect
57. #19099251C22semidirect
58. #19099238C22semidirect
59. #19099237C22semidirect
60. #19099237C22semidirect
61. #19099236C22semidirect
62. #19099235C22semidirect
63. #19099235C22semidirect
64. #19099234C22semidirect
65. #19099234C22semidirect
66. #19099231C22semidirect
67. Q8×D316C22semidirect
68. Q8×D316C22semidirect
69. #19099226C22semidirect
70. #19099225C22semidirect
71. #19099225C22semidirect
72. #19099223C22semidirect
73. #19099221C22semidirect
74. #19099221C22semidirect
75. #19099219C22semidirect
76. #19099218C22semidirect
77. #19099217C22semidirect
78. #19099217C22semidirect
79. #19099215C22semidirect
80. #19099214C22semidirect
81. #19099210C22semidirect
82. #19099209C22semidirect
83. #19099209C22semidirect
84. #19099208C22semidirect
85. #19099208C22semidirect
86. #19099206C22semidirect
87. #19099206C22semidirect
88. #19099205C22semidirect
89. #19099204C22semidirect
90. #19099203C22semidirect
91. #19099203C22semidirect
92. #19099203C22semidirect
93. #19099203C22semidirect
94. D4×D316C22semidirect
95. D4×D316C22semidirect
96. D4×D316C22semidirect
97. #19099197C22semidirect
98. D4×C22⋊D79C22semidirect
99. #19099191C22semidirect
100. #19099184C22semidirect
101. #19099184C22semidirect
102. #19099179C22semidirect
103. #19099176C22semidirect
104. #19099169C22semidirect
105. #19099168C22semidirect
106. #19099168C22semidirect
107. #19099165C22semidirect
108. #19099164C22semidirect
109. #19099160C22semidirect
110. #19099157C22semidirect
111. #19099154C22semidirect
112. #19099152C22semidirect
113. #19099152C22semidirect
114. #19099151C22semidirect
115. #19099149C22semidirect
116. #19099146C22semidirect
117. #19099146C22semidirect
118. #19099144C22semidirect
119. #19099144C22semidirect
120. #19099144C22semidirect
121. #19099143C22semidirect
122. #19099142C22semidirect
123. #19099137C22semidirect
124. #19099136C22semidirect
125. #19099133C22semidirect
126. #19099132C22semidirect
127. #19099131C22semidirect
128. #19099130C22semidirect
129. #19099129C22semidirect
130. #19099125C22semidirect
131. #19099124C22semidirect
132. #19099120C22semidirect
133. #19099120C22semidirect
134. #19099120C22semidirect
136. #19099113C22semidirect
137. #19099113C22semidirect
138. #19099113C22semidirect
139. #19099113C22semidirect
140. #19099113C22semidirect
141. #19099113C22semidirect
142. #19099113C22semidirect
143. #19099113C22semidirect
144. #19099113C22semidirect
145. #19099113C22semidirect
146. #19099113C22semidirect
147. #19099113C22semidirect
148. #19099113C22semidirect
149. #19099112C22semidirect
150. C2×#14579161C22semidirect
151. C2×#14579158C22semidirect
152. #19099098C22semidirect
153. #19099098C22semidirect
154. #19099097C22semidirect
155. #19099097C22semidirect
156. #19099097C22semidirect
157. #19099097C22semidirect
158. #19099097C22semidirect
159. #19099097C22semidirect
160. #19099097C22semidirect
161. C2×#14579149C22semidirect
162. #124×D79C22semidirect
163. #19099076C22semidirect
164. #19099074C22semidirect
165. #19099074C22semidirect
166. #19099074C22semidirect
167. #19099074C22semidirect
168. #19099073C22semidirect
169. C22⋊Q8×D79C22semidirect
170. C2×#14579135C22semidirect
171. C2×#14579135C22semidirect
172. C2×#14579135C22semidirect
173. #121×D79C22semidirect
174. #19099044C22semidirect
175. #19099044C22semidirect
176. #19099043C22semidirect
177. #19099037C22semidirect
178. #19099035C22semidirect
179. C4×#11929624C22semidirect
180. C4×#11929624C22semidirect
181. C4×#11929624C22semidirect
182. C2×C4×D316C22semidirect
183. C2×C4×D316C22semidirect
184. #529×C79C22semidirect
185. #529×C79C22semidirect
186. #529×C79C22semidirect
187. #529×C79C22semidirect
188. #529×C79C22semidirect
189. #529×C79C22semidirect
190. #529×C79C22semidirect
191. #529×C79C22semidirect
192. C2×#126×C79C22semidirect
193. C2×#125×C79C22semidirect
194. C2×#124×C79C22semidirect
195. C2×#123×C79C22semidirect
196. C2×C22⋊Q8×C79C22semidirect
198. C2×C4×Q8×C79C22semidirect
199. C2×C4×D4×C79C22semidirect
200. C2×C4×D4×C79C22semidirect
201. C2×#117×C79C22semidirect
202. C22×C42×C79C22semidirect
940. C2×#529D79semidirect
941. C79#62830semidirect
1075. #529C2×D79semidirect
1076. #529C2×D79semidirect
1077. #529C2×D79semidirect
1078. #529C2×D79semidirect
1079. #529C2×D79semidirect
1080. #529C2×D79semidirect
1081. #529C2×D79semidirect
1082. #529C2×D79semidirect
1083. C2×#126C2×D79semidirect
1084. C2×#125C2×D79semidirect
1087. C2×#124C2×D79semidirect
1094. C2×#123C2×D79semidirect
1096. C2×C22⋊Q8C2×D79semidirect
1110. C2×C4×Q8C2×D79semidirect
1113. C2×C4×D4C2×D79semidirect
1114. C2×C4×D4C2×D79semidirect
1115. C2×#117C2×D79semidirect
1116. C22×C42C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779802
#237779522
#237778372
#237778222
#237777912
#237777742
#237777302
#237775942
#237774512
#237774342
#237774322
#237774042
#237773632
#237773492
#237773242
#237772652
#237772522
#237772352
#237771902
#237771712
#237771642
#237771352
#237770762
#237770652
#237766962
C2×#190991132
C2×#529×C792
#6283079