Finite Group Databasebeta

← #35171344

Subgroups — #35171344

Order 20224.

1830 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777344C211yesmaximal, characteristic, complemented
2#23776466C211yesmaximal, characteristic, complemented
3#23776306C211yesmaximal, characteristic, complemented
4#23776221C211yesmaximal, characteristic, complemented
5#23776214C211yesmaximal, characteristic, complemented
6#23775978C211yesmaximal, characteristic, complemented
7#23775924C211yesmaximal, characteristic, complemented
8#23775900C211yesmaximal, characteristic, complemented
9#23775668C211yesmaximal, characteristic, complemented
10#23775625C211yesmaximal, characteristic, complemented
11#23775571C211yesmaximal, characteristic, complemented
12#23775550C211yesmaximal, characteristic, complemented
13#23775430C211yesmaximal, characteristic, complemented
14#23775391C211yesmaximal, characteristic, complemented
15#23775032C211yesmaximal, characteristic, complemented
16#23774911C211yesmaximal, characteristic, complemented
17#23774896C211yesmaximal, characteristic, complemented
18#23774077C211yesmaximal, characteristic, complemented
19#23774033C211yesmaximal, characteristic, complemented
20#23774000C211yesmaximal, characteristic, complemented
21#23773691C211yesmaximal, characteristic, complemented
22#23773656C211yesmaximal, characteristic, complemented
23#23773629C211yesmaximal, characteristic, complemented
24#23773578C211yesmaximal, characteristic, complemented
25#23773509C211yesmaximal, characteristic, complemented
26#23773495C211yesmaximal, characteristic, complemented
27#23772387C211yesmaximal, characteristic, complemented
28#23772259C211yesmaximal, characteristic, complemented
29#23772243C211yesmaximal, characteristic, complemented
30C4×#14579186C211yesmaximal, characteristic, complemented
31C79×#3518C211yesmaximal, characteristic, complemented
32C2×#14579192C2211yescharacteristic
33C2×#14579186C2211yescharacteristic
34C22×#11929611C2211yescharacteristic
35#19099298C2211yescharacteristic
36#19099273C2211yescharacteristic
37#19099264—21no—
38#19099259C2211yescharacteristic
39#19099253C2211yescharacteristic
40#19099240—21no—
41#19099238—21no—
42#19099217C2211yescharacteristic
43#19099209C2211yescharacteristic
44#19099209C2211yescharacteristic
45#19099202—21no—
46D4×D316C2211yescharacteristic
47#19099184C2211yescharacteristic
48#19099168C2211yescharacteristic
49#19099161—21no—
50#19099147—21no—
51#19099097C2211yescharacteristic
52#19099071—21no—
53#123×D79—21no—
54#19099043C2211yescharacteristic
55#19099037C2211yescharacteristic
56C2×C4×D316C2211yescharacteristic
57#19098969C2211yescharacteristic, complemented
58#19098969C2211yescharacteristic, complemented
59#19098966C2211yescharacteristic, complemented
60#19098955C2211yescharacteristic, complemented
61#19098953C2211yescharacteristic
62#19098945C2211yescharacteristic, complemented
63#19098931C2211yescharacteristic, complemented
64#19098925C2211yescharacteristic, complemented
65#19098925C2211yescharacteristic, complemented
66#19098922C2211yescharacteristic, complemented
67#19098917C2211yescharacteristic, complemented
68#19098911C2211yescharacteristic
69#19098904C2211yescharacteristic, complemented
70#19098904C2211yescharacteristic, complemented
71#19098901C2211yescharacteristic, complemented
72#19098896C2211yescharacteristic, complemented
73#19098896C2211yescharacteristic, complemented
74#19098896C2211yescharacteristic, complemented
75#19098887C2211yescharacteristic
76#19098887C2211yescharacteristic
77#19098887C2211yescharacteristic, complemented
78#19098887C2211yescharacteristic, complemented
79#19098884C2211yescharacteristic, complemented
80#19098874C2211yescharacteristic, complemented
81#19098870C2211yescharacteristic, complemented
82#19098870C2211yescharacteristic, complemented
83#19098870C2211yescharacteristic, complemented
84#19098863C2211yescharacteristic, complemented
85#19098858C2211yescharacteristic, complemented
86#19098855C2211yescharacteristic, complemented
87#19098850C2211yescharacteristic
88#19098848C2211yescharacteristic, complemented
89#19098840C2211yescharacteristic
90#19098840C2211yescharacteristic
91#19098840C2211yescharacteristic, complemented
92#19098840C2211yescharacteristic, complemented
93#19098819C2211yescharacteristic, complemented
94#19098819C2211yescharacteristic, complemented
95#19098814C2211yescharacteristic, complemented
96#19098811C2211yescharacteristic
97#19098811C2211yescharacteristic
98#19098811C2211yescharacteristic
99#19098811C2211yescharacteristic, complemented
100#19098807C2211yescharacteristic, complemented
101#19098802C2211yescharacteristic, complemented
102#19098797C2211yescharacteristic
103#19098797C2211yescharacteristic, complemented
104#19098794C2211yescharacteristic, complemented
105#19098785C2211yescharacteristic, complemented
106#19098785C2211yescharacteristic, complemented
107#19098785C2211yescharacteristic, complemented
108#19098782C2211yescharacteristic, complemented
109#19098778C2211yescharacteristic, complemented
110#19098775C2211yescharacteristic
111#19098775C2211yescharacteristic
112#19098775C2211yescharacteristic, complemented
113#19098765C2211yescharacteristic
114#19098765C2211yescharacteristic, complemented
115#19098763C2211yescharacteristic
116#19098763C2211yescharacteristic
117#19098725C2211yescharacteristic, complemented
118#19098723C2211yescharacteristic
119#19098719C2211yescharacteristic, complemented
120#19098713C2211yescharacteristic
121#19098713C2211yescharacteristic
122#19098713C2211yescharacteristic
123#19098708C2211yescharacteristic
124#19098706C2211yescharacteristic
125#19098702C2211yescharacteristic
126#19098702C2211yescharacteristic, complemented
127#19098702C2211yescharacteristic, complemented
128#19098696C2211yescharacteristic
129#19098694C2211yescharacteristic, complemented
130#19098694C2211yescharacteristic, complemented
131#19098673C2211yescharacteristic
132#19098673C2211yescharacteristic, complemented
133#19098673C2211yescharacteristic, complemented
134#19098668C2211yescharacteristic, complemented
135#19098668C2211yescharacteristic, complemented
136#19098663C2211yescharacteristic, complemented
137#19098661C2211yescharacteristic
138#19098661C2211yescharacteristic
139#19098661C2211yescharacteristic
140#19098661C2211yescharacteristic
141#19098661C2211yescharacteristic
142#19098661C2211yescharacteristic, complemented
143#19098661C2211yescharacteristic, complemented
144#19098661C2211yescharacteristic, complemented
145#19098661C2211yescharacteristic, complemented
146#19098661C2211yescharacteristic, complemented
147C4×#11929614C2211yescharacteristic, complemented
148C4×#11929614C2211yescharacteristic, complemented
149C4×#11929614C2211yescharacteristic, complemented
150C4×#11929611C2211yescharacteristic
151C4×#11929611C2211yescharacteristic
152C4×#11929611C2211yescharacteristic
153C4×#11929611C2211yescharacteristic, complemented
154C4×#11929611C2211yescharacteristic, complemented
155C4×#11929611C2211yescharacteristic, complemented
156C4×#11929611C2211yescharacteristic, complemented
157C4×#11929609C2211yescharacteristic
158C4×#11929609C2211yescharacteristic, complemented
159#19098641C2211yescharacteristic
160#19098641C2211yescharacteristic, complemented
161#19098635C2211yescharacteristic
162#19098635C2211yescharacteristic, complemented
163#19098635C2211yescharacteristic, complemented
164#19098635C2211yescharacteristic, complemented
165#19098624C2211yescharacteristic, complemented
166#19098624C2211yescharacteristic, complemented
167#19098620C2211yescharacteristic, complemented
168#19098606C2211yescharacteristic, complemented
169#19098606C2211yescharacteristic, complemented
170#19098599C2211yescharacteristic, complemented
171#19098572C2211yescharacteristic, complemented
172#19098567C2211yescharacteristic
173#19098567C2211yescharacteristic
174#19098564C2211yescharacteristic, complemented
175#19098557C2211yescharacteristic
176C2×#14579085C2211yescharacteristic, complemented
177#19098519C2211yescharacteristic, complemented
178#19098519C2211yescharacteristic, complemented
179C4×#11929608C2211yescharacteristic, complemented
180Q82×C79C2211yescharacteristic, complemented
181#556×C79—21no—
182#556×C79—21no—
183#556×C79—21no—
184#556×C79C2211yescharacteristic
185#556×C79C2211yescharacteristic, complemented
186#556×C79C2211yescharacteristic, complemented
187#555×C79—21no—
188#555×C79C2211yescharacteristic, complemented
189D4×Q8×C79C2211yescharacteristic, complemented
190#548×C79C2211yescharacteristic
191#548×C79C2211yescharacteristic, complemented
192#542×C79—21no—
193#542×C79—21no—
194#542×C79C2211yescharacteristic, complemented
195#542×C79C2211yescharacteristic, complemented
196#533×C79—21no—
197#533×C79C2211yescharacteristic, complemented
198#529×C79—21no—
199#529×C79C2211yescharacteristic
200#519×C79C2211yescharacteristic, complemented
201#519×C79C2211yescharacteristic, complemented
202C4×#41×C79C2211yescharacteristic, complemented
203C2×#11929624C2311yescharacteristic
204C2×#11929623—21no—
205C22×D316C2311yescharacteristic
206C22×D316C2311yescharacteristic
207C2×D4×D79—21no—
208C22×C4×D79—21no—
209#14579192—24no—
210#14579186—24no—
211C2×#11929614C2311yescharacteristic
212C2×#11929614C2311yescharacteristic
213C2×#11929614C2311yescharacteristic
214C2×#11929612C2311yescharacteristic
215C2×#11929611—24no—
216C2×#11929611C2311yescharacteristic
217C2×#11929611C2311yescharacteristic
218C2×#11929611C2311yescharacteristic
219C2×#11929611C2311yescharacteristic
220C2×#11929611C2311yescharacteristic
221C2×#11929611C2311yescharacteristic
222C2×#11929611C2311yescharacteristic
223C2×#11929611C2311yescharacteristic
224C2×#11929611C2311yescharacteristic
225C2×#11929609C2311yescharacteristic
226C2×#11929609C2311yescharacteristic
227C2×#11929609C2311yescharacteristic
228C2×#11929608C2311yescharacteristic
229C2×#11929608C2311yescharacteristic
230C2×#11929608C2311yescharacteristic
231C2×#11929608C2311yescharacteristic
232C22×C79⋊C8C2311yescharacteristic
233C22×C79⋊C8C2311yescharacteristic
234#14579161C2311yescharacteristic
235#14579158C2311yescharacteristic
236#14579156—21no—
237#14579156—21no—
238#14579155—21no—
239#14579154—21no—
240#14579153C2311yescharacteristic
241#14579153C2311yescharacteristic
242#14579151—21no—
243#14579150—21no—
244#14579149C2311yescharacteristic
245#14579149C2311yescharacteristic
246#14579147—21no—
247#14579146—21no—
248#14579146—21no—
249#14579146—21no—
250#14579146—21no—
251#14579146—21no—
252#14579146—21no—
253#14579145—21no—
254#14579145—21no—
255#14579144—21no—
256#14579143—21no—
257#14579143—21no—
258#14579142—21no—
259#14579141—21no—
260#14579140C2311yescharacteristic
261#14579140C2311yescharacteristic
262#14579139—21no—
263#14579139—21no—
264#14579139—21no—
265#14579137—21no—
266#14579136—21no—
267#14579135C2311yescharacteristic
268#14579135C2311yescharacteristic
269#14579135C2311yescharacteristic
270#14579135C2311yescharacteristic
271#14579134—21no—
272#14579134—21no—
273#14579134—21no—
274#14579134—21no—
275#14579133—21no—
276#14579131—21no—
277#14579131—21no—
278#14579129—21no—
279#14579129—21no—
280C4×Dic158C2311yescharacteristic
281C4×Dic158C2311yescharacteristic
282C4×D316—21no—
283C4×D316—21no—
284C4×D316C2311yescharacteristic
285C4×D316C2311yescharacteristic
286C4×D316C2311yescharacteristic
287C4×D316C2311yescharacteristic
288C4×D316C2311yescharacteristic
289C4×D316C2311yescharacteristic
290C4×D316C2311yescharacteristic
291C4×D316C2311yescharacteristic
292#14579123—21no—
293#14579123—21no—
294#14579123—21no—
295C4×C22⋊D79—21no—
296(C22⋊D79)⋊C4—21no—
297(C22⋊D79)⋊C4—21no—
298(C22⋊D79)⋊C4—21no—
299#14579120C2311yescharacteristic
300#14579119—21no—
301#14579118—21no—
302#14579117—21no—
303C2×C4⋊Dic79C2311yescharacteristic
304C2×C4⋊Dic79C2311yescharacteristic
305C4⋊C4×D79—21no—
306C4⋊C4×D79—21no—
307C2×(C2×D79)⋊C4—21no—
308C22⋊C4×D79—21no—
309C22⋊C4×D79—21no—
310C22⋊C4×D79—21no—
311C22⋊C4×D79—21no—
312#14579094C2311yescharacteristic
313#14579094C2311yescharacteristic
314#14579094C2311yescharacteristic
315#14579094C2311yescharacteristic
316#14579094C2311yescharacteristic
317#14579094C2311yescharacteristic
318#14579094C2311yescharacteristic
319#14579094C2311yescharacteristic
320#14579094C2311yescharacteristic
321#14579094C2311yescharacteristic
322#14579092C2311yescharacteristic
323#14579092C2311yescharacteristic
324#14579092C2311yescharacteristic
325#14579092C2311yescharacteristic
326#14579092C2311yescharacteristic
327#14579092C2311yescharacteristic
328C4⋊(C79⋊C8)C2311yescharacteristic
329C4⋊(C79⋊C8)C2311yescharacteristic
330C4⋊(C79⋊C8)C2311yescharacteristic
331C4⋊(C79⋊C8)C2311yescharacteristic
332C4⋊(C79⋊C8)C2311yescharacteristic
333C4⋊(C79⋊C8)C2311yescharacteristic
334#14579085C2311yescharacteristic
335#14579085C2311yescharacteristic
336#14579085C2311yescharacteristic
337#14579085C2311yescharacteristic
338#14579085C2311yescharacteristic
339#14579085C2311yescharacteristic
340#14579085C2311yescharacteristic
341#14579085C2311yescharacteristic
342#14579085C2311yescharacteristic
343#14579085C2311yescharacteristic
344#14579085C2311yescharacteristic
345#14579085C2311yescharacteristic
346#14579084C2311yescharacteristic
347#14579084C2311yescharacteristic
348#14579084C2311yescharacteristic
349#14579084C2311yescharacteristic
350#14579082C2311yescharacteristic
351#14579082C2311yescharacteristic
352#14579082C2311yescharacteristic
353#14579082C2311yescharacteristic
354#14579081C2311yescharacteristic
355#14579081C2311yescharacteristic
356#14579081C2311yescharacteristic
357#14579081C2311yescharacteristic
358#14579081C2311yescharacteristic
359#14579081C2311yescharacteristic
360#14579081C2311yescharacteristic
361#14579081C2311yescharacteristic
362#14579081C2311yescharacteristic
363#14579081C2311yescharacteristic
364#14579081C2311yescharacteristic
365#14579081C2311yescharacteristic
366C22⋊(C79⋊C8)C2311yescharacteristic
367C22⋊(C79⋊C8)C2311yescharacteristic
368C22⋊(C79⋊C8)C2311yescharacteristic
369C22⋊(C79⋊C8)C2311yescharacteristic
370C22⋊(C79⋊C8)C2311yescharacteristic
371C22⋊(C79⋊C8)C2311yescharacteristic
372#14579072C2311yescharacteristic
373#14579072C2311yescharacteristic
374#14579072C2311yescharacteristic
375#14579072C2311yescharacteristic
376#14579072C2311yescharacteristic
377#14579072C2311yescharacteristic
378C4×C79⋊C8C2311yescharacteristic
379C4×C79⋊C8C2311yescharacteristic
380C4×C79⋊C8C2311yescharacteristic
381C4×C79⋊C8C2311yescharacteristic
382C2×#41×C79C2311yescharacteristic
383C22×Q8×C79C2311yescharacteristic
384C22×Q8×C79C2311yescharacteristic
385C4⋊Q8×C79—21no—
386C4⋊Q8×C79—21no—
387C4⋊Q8×C79—21no—
388C4⋊Q8×C79—21no—
389C4⋊Q8×C79C2311yescharacteristic
390C4⋊Q8×C79C2311yescharacteristic
391C4⋊Q8×C79C2311yescharacteristic
392C4⋊Q8×C79C2311yescharacteristic
393#126×C79—21no—
394#126×C79—21no—
395#126×C79—21no—
396#126×C79—21no—
397#126×C79—21no—
398#126×C79—21no—
399#126×C79—21no—
400#126×C79—21no—
401#126×C79D411yescharacteristic
402#126×C79D411yescharacteristic
403#125×C79—21no—
404#125×C79D411yescharacteristic
405#124×C79—21no—
406#124×C79—21no—
407#124×C79—21no—
408#124×C79—21no—
409#124×C79—21no—
410#124×C79—21no—
411#124×C79—21no—
412#124×C79—21no—
413#124×C79D411yescharacteristic
414#124×C79C2311yescharacteristic
415#124×C79C2311yescharacteristic
416#123×C79—21no—
417#123×C79—21no—
418#123×C79D411yescharacteristic
419#123×C79D411yescharacteristic
420C22⋊Q8×C79—21no—
421C22⋊Q8×C79—21no—
422C22⋊Q8×C79—21no—
423C22⋊Q8×C79—21no—
424C22⋊Q8×C79—21no—
425C22⋊Q8×C79—21no—
426C22⋊Q8×C79—21no—
427C22⋊Q8×C79—21no—
428C22⋊Q8×C79D411yescharacteristic
429C22⋊Q8×C79C2311yescharacteristic
430C22⋊Q8×C79C2311yescharacteristic
431C22⋊Q8×C79C2311yescharacteristic
432C22⋊Q8×C79C2311yescharacteristic
433#121×C79—21no—
434#121×C79—21no—
435#121×C79—21no—
436#121×C79D411yescharacteristic
437#121×C79C2311yescharacteristic
438#121×C79C2311yescharacteristic
439C4×Q8×C79—21no—
440C4×Q8×C79—21no—
441C4×Q8×C79—21no—
442C4×Q8×C79—21no—
443C4×Q8×C79—21no—
444C4×Q8×C79—21no—
445C4×Q8×C79—21no—
446C4×Q8×C79—21no—
447C4×Q8×C79C2311yescharacteristic
448C4×Q8×C79C2311yescharacteristic
449C4×Q8×C79C2311yescharacteristic
450C4×Q8×C79C2311yescharacteristic
451C4×Q8×C79C2311yescharacteristic
452C4×Q8×C79C2311yescharacteristic
453C4×Q8×C79C2311yescharacteristic
454C4×Q8×C79C2311yescharacteristic
455C4×Q8×C79C2311yescharacteristic
456C4×D4×C79—21no—
457C4×D4×C79—21no—
458C4×D4×C79—21no—
459C4×D4×C79—21no—
460C4×D4×C79—21no—
461C4×D4×C79C2311yescharacteristic
462C4×D4×C79C2311yescharacteristic
463C4×D4×C79C2311yescharacteristic
464C4×D4×C79C2311yescharacteristic
465C4×D4×C79C2311yescharacteristic
466#117×C79—21no—
467#117×C79—21no—
468#117×C79—21no—
469#117×C79—21no—
470#117×C79—21no—
471#117×C79—21no—
472#117×C79—21no—
473#117×C79—21no—
474#117×C79C2311yescharacteristic
475#117×C79C2311yescharacteristic
476#117×C79C2311yescharacteristic
477#117×C79C2311yescharacteristic
478#117×C79C2311yescharacteristic
479C2×C42×C79—21no—
480C2×C42×C79C2311yescharacteristic
481C23×D79—21no—
482C23×D79—21no—
483#11929624—22no—
484#11929624—41no—
485#11929623—82no—
486C2×Dic158—21no—
487C2×Dic158C2411yescharacteristic
488C2×D316—22no—
489C2×D316—22no—
490C2×D316—21no—
491C2×D316—21no—
492C2×D316—21no—
493C2×D316—21no—
494C2×D316—41no—
495C2×D316—41no—
496C2×D316C2411yescharacteristic
497C2×D316C2411yescharacteristic
498C2×D316C2411yescharacteristic
499C2×C22⋊D79—21no—
500C2×C22⋊D79—21no—
501C2×C22⋊D79—21no—
502C2×C22⋊D79—21no—
503C2×C22⋊D79—21no—
504D4×D79—82no—
505C22×Dic79—21no—
506C22×Dic79—21no—
507C2×C4×D79—21no—
508C2×C4×D79—21no—
509C2×C4×D79—21no—
510C2×C4×D79—21no—
511C2×C4×D79—21no—
512C2×C4×D79—21no—
513C2×C4×D79—21no—
514C2×C4×D79—21no—
515C2×C4×D79—21no—
516C2×C4×D79—82no—
517#11929614—22no—
518#11929614—22no—
519#11929614—41no—
520#11929612—41no—
521#11929611—22no—
522#11929611—22no—
523#11929611—22no—
524#11929611—22no—
525#11929611—22no—
526#11929611—41no—
527#11929611—41no—
528#11929611—41no—
529#11929611#4114yescomplemented
530#11929609—22no—
531#11929609—22no—
532#11929609—41no—
533#11929608—22no—
534#11929608—22no—
535#11929608—41no—
536#11929608—41no—
537C2×C79⋊C8—22no—
538C2×C79⋊C8—41no—
539C2×C79⋊C8C2411yescharacteristic
540C2×C79⋊C8C2411yescharacteristic
541C2×C79⋊C8C2411yescharacteristic
542C2×C79⋊C8C2411yescharacteristic
543C2×C79⋊C8C2411yescharacteristic
544C2×C79⋊C8C2411yescharacteristic
545C2×C79⋊C8C2411yescharacteristic
546C2×C79⋊C8C2411yescharacteristic
547C4⋊Dic79—21no—
548C4⋊Dic79—21no—
549C4⋊Dic79—21no—
550C4⋊Dic79C2411yescharacteristic
551C4⋊Dic79C2411yescharacteristic
552C4⋊Dic79C2411yescharacteristic
553C4⋊Dic79C2411yescharacteristic
554Dic79⋊C4—21no—
555Dic79⋊C4—21no—
556Dic79⋊C4—21no—
557Dic79⋊C4—21no—
558Dic79⋊C4—21no—
559Dic79⋊C4—21no—
560Dic79⋊C4—21no—
561Dic79⋊C4—21no—
562C22⋊Dic79—21no—
563C22⋊Dic79—21no—
564C22⋊Dic79—21no—
565(C2×D79)⋊C4—21no—
566(C2×D79)⋊C4—21no—
567(C2×D79)⋊C4—21no—
568(C2×D79)⋊C4—21no—
569(C2×D79)⋊C4—21no—
570(C2×D79)⋊C4—21no—
571(C2×D79)⋊C4—21no—
572(C2×D79)⋊C4—21no—
573(C2×D79)⋊C4—21no—
574(C2×D79)⋊C4—21no—
575(C2×D79)⋊C4—21no—
576(C2×D79)⋊C4—21no—
577(C2×D79)⋊C4—21no—
578(C2×D79)⋊C4—21no—
579(C2×D79)⋊C4—21no—
580(C2×D79)⋊C4—21no—
581C4×Dic79—21no—
582C4×Dic79—21no—
583C4×Dic79—21no—
584#41×C79—22no—
585#41×C79—41no—
586C2×Q8×C79—21no—
587C2×Q8×C79—21no—
588C2×Q8×C79—21no—
589C2×Q8×C79—21no—
590C2×Q8×C79—21no—
591C2×Q8×C79—22no—
592C2×Q8×C79—22no—
593C2×Q8×C79—41no—
594C2×Q8×C79—41no—
595C2×Q8×C79C2×D411yescharacteristic
596C2×Q8×C79C2411yescharacteristic
597C2×Q8×C79C2411yescharacteristic
598C2×Q8×C79C2411yescharacteristic
599C2×D4×C79—21no—
600C2×D4×C79—21no—
601C2×D4×C79—21no—
602C2×D4×C79C2×D411yescharacteristic
603C2×D4×C79C2×D411yescharacteristic
604C2×D4×C79C2×D411yescharacteristic
605C2×D4×C79C2411yescharacteristic
606C22×C4×C79—21no—
607C22×C4×C79—21no—
608C22×C4×C79—21no—
609C22×C4×C79—21no—
610C22×C4×C79—21no—
611C22×C4×C79C2×D411yescharacteristic
612C22×C4×C79C2×D411yescharacteristic
613C22×C4×C79C2411yescharacteristic
614C22×C4×C79C2411yescharacteristic
615C22×C4×C79C2411yescharacteristic
616C4⋊C4×C79—21no—
617C4⋊C4×C79—21no—
618C4⋊C4×C79—21no—
619C4⋊C4×C79—21no—
620C4⋊C4×C79—21no—
621C4⋊C4×C79—21no—
622C4⋊C4×C79—21no—
623C4⋊C4×C79—21no—
624C4⋊C4×C79—21no—
625C4⋊C4×C79—21no—
626C4⋊C4×C79—21no—
627C4⋊C4×C79—21no—
628C4⋊C4×C79—21no—
629C4⋊C4×C79—21no—
630C4⋊C4×C79—21no—
631C4⋊C4×C79—21no—
632C4⋊C4×C79—21no—
633C4⋊C4×C79C2×D411yescharacteristic
634C4⋊C4×C79C2×D411yescharacteristic
635C4⋊C4×C79C2×D411yescharacteristic
636C4⋊C4×C79C2×D411yescharacteristic
637C4⋊C4×C79C2×D411yescharacteristic
638C4⋊C4×C79C2×D411yescharacteristic
639C4⋊C4×C79C2×D411yescharacteristic
640C4⋊C4×C79C2×D411yescharacteristic
641C4⋊C4×C79C2×D411yescharacteristic
642C4⋊C4×C79C2×D411yescharacteristic
643C4⋊C4×C79C2411yescharacteristic
644C4⋊C4×C79C2411yescharacteristic
645C4⋊C4×C79C2411yescharacteristic
646C4⋊C4×C79C2411yescharacteristic
647C22⋊C4×C79—21no—
648C22⋊C4×C79—21no—
649C22⋊C4×C79—21no—
650C22⋊C4×C79—21no—
651C22⋊C4×C79—21no—
652C22⋊C4×C79—21no—
653C22⋊C4×C79—21no—
654C22⋊C4×C79—21no—
655C22⋊C4×C79—21no—
656C22⋊C4×C79—21no—
657C22⋊C4×C79—21no—
658C22⋊C4×C79—21no—
659C22⋊C4×C79—21no—
660C22⋊C4×C79—21no—
661C22⋊C4×C79—21no—
662C22⋊C4×C79C2×D411yescharacteristic
663C22⋊C4×C79C2×D411yescharacteristic
664C22⋊C4×C79C2×D411yescharacteristic
665C22⋊C4×C79C2×D411yescharacteristic
666C22⋊C4×C79C2×D411yescharacteristic
667C22⋊C4×C79C2×D411yescharacteristic
668C22⋊C4×C79C2×D411yescharacteristic
669C22⋊C4×C79C2×D411yescharacteristic
670C22⋊C4×C79C2×D411yescharacteristic
671C22⋊C4×C79C2×D411yescharacteristic
672C42×C79—21no—
673C42×C79—21no—
674C42×C79—21no—
675C42×C79—21no—
676C42×C79—21no—
677C42×C79—21no—
678C42×C79—21no—
679C42×C79—21no—
680C42×C79—21no—
681C42×C79—21no—
682C42×C79—21no—
683C42×C79C2×D411yescharacteristic
684C42×C79C2×D411yescharacteristic
685C42×C79C2411yescharacteristic
686C42×C79C2411yescharacteristic
687C42×C79C2411yescharacteristic
688C42×C79C2411yescharacteristic
689C23×C79—21no—
690C23×C79C22×D411yescharacteristic
691C23×C79C22×D411yescharacteristic
692C23×C79C22×D411yescharacteristic
693C22×D79—21no—
694C22×D79—21no—
695C22×D79—21no—
696C22×D79—42no—
697C22×D79—42no—
698C22×D79—42no—
699C22×D79—81no—
700C22×D79—81no—
701C22×D79—81no—
702Q8×C79—21no—
703Q8×C79—21no—
704Q8×C79—21no—
705Q8×C79—21no—
706Q8×C79—21no—
707Q8×C79—41no—
708Q8×C79—42no—
709Q8×C79—42no—
710Q8×C79—81no—
711Q8×C79—81no—
712Q8×C79—81no—
713Q8×C79C2×#4112yes—
714D4×C79—21no—
715D4×C79—21no—
716D4×C79—41no—
717D4×C79—41no—
718D4×C79—41no—
719D4×C79—42no—
720D4×C79—81no—
721D4×C79—81no—
722C2×C4×C79—21no—
723C2×C4×C79—21no—
724C2×C4×C79—21no—
725C2×C4×C79—21no—
726C2×C4×C79—21no—
727C2×C4×C79—21no—
728C2×C4×C79—21no—
729C2×C4×C79—21no—
730C2×C4×C79—21no—
731C2×C4×C79—21no—
732C2×C4×C79—21no—
733C2×C4×C79—21no—
734C2×C4×C79—21no—
735C2×C4×C79—41no—
736C2×C4×C79—41no—
737C2×C4×C79—42no—
738C2×C4×C79—42no—
739C2×C4×C79—42no—
740C2×C4×C79—42no—
741C2×C4×C79—81no—
742C2×C4×C79C22×D411yescharacteristic
743C2×C4×C79C22×D411yescharacteristic
744C2×C4×C79C22×D411yescharacteristic
745C2×C4×C79C22×D411yescharacteristic
746C2×C4×C79C22×D411yescharacteristic
747C2×C4×C79C22×D411yescharacteristic
748C2×C4×C79C22×D411yescharacteristic
749C2×C4×C79C22×D411yescharacteristic
750C2×C4×C79C22×D411yescharacteristic
751C2×C4×C79C22×D411yescharacteristic
752C2×C4×C79C22×D411yescharacteristic
753C2×C4×C79C2511yescharacteristic
754C22⋊D79—42no—
755C22⋊D79—42no—
756C22⋊D79—81no—
757C22⋊D79—81no—
758C22⋊D79—81no—
759C2×Dic79—21no—
760C2×Dic79—21no—
761C2×Dic79—21no—
762C2×Dic79—21no—
763C2×Dic79—21no—
764C2×Dic79—42no—
765C2×Dic79—81no—
766D316—21no—
767D316—21no—
768D316—21no—
769D316—21no—
770D316—21no—
771D316—42no—
772D316—42no—
773D316—81no—
774D316—81no—
775D316C2×#4112yes—
776C4×D79—42no—
777C4×D79—81no—
778C4×D79—81no—
779C4×D79—81no—
780C4×D79—81no—
781C4×D79—81no—
782C4×D79—81no—
783C4×D79—81no—
784C4×D79—81no—
785Dic158—21no—
786Dic158—21no—
787Dic158—81no—
788C79⋊C8—21no—
789C79⋊C8—21no—
790C79⋊C8—21no—
791C79⋊C8—21no—
792C79⋊C8—21no—
793C79⋊C8—21no—
794C79⋊C8—21no—
795C79⋊C8C2×#4112yes—
796C22×C79—21no—
797C22×C79—21no—
798C22×C79—21no—
799C22×C79—21no—
800C22×C79—21no—
801C22×C79—21no—
802C22×C79—21no—
803C22×C79—21no—
804C22×C79—21no—
805C22×C79—41no—
806C22×C79—41no—
807C22×C79—41no—
808C22×C79C23×D411yescharacteristic
809C2×D79—22no—
810C2×D79—41no—
811C2×D79—41no—
812C2×D79—41no—
813C2×D79—41no—
814C2×D79—41no—
815C2×D79—41no—
816C2×D79—41no—
817C2×D79—41no—
818C2×D79—84no—
819C2×D79—162no—
820C4×C79—21no—
821C4×C79—21no—
822C4×C79—21no—
823C4×C79—21no—
824C4×C79—21no—
825C4×C79—21no—
826C4×C79—21no—
827C4×C79—21no—
828C4×C79—21no—
829C4×C79—21no—
830C4×C79—21no—
831C4×C79—22no—
832C4×C79—41no—
833C4×C79—41no—
834C4×C79—41no—
835C4×C79—41no—
836C4×C79—41no—
837C4×C79—41no—
838C4×C79C22×#4111yescharacteristic
839C4×C79#58511yescharacteristic
840Dic79—41no—
841Dic79—41no—
842Dic79—41no—
843Dic79—41no—
844Dic79—41no—
845#61503—791nomaximal, Sylow
846C2×C79—41no—
847C2×C79—41no—
848C2×C79—41no—
849C2×C79—81no—
850C2×C79D4×#4111yescharacteristic
851C2×C79#358511yescharacteristic
852C2×C79#358611yescharacteristic
853D79—42no—
854D79—81no—
855D79—81no—
856#3518D7911yescharacteristic, complemented
857#3513—791no—
858#3401—791no—
859#3385—791no—
860#3376—791no—
861#3375—791no—
862#3353—791no—
863#3349—791no—
864#3347—791no—
865#3327—791no—
866#3324—791no—
867#3320—791no—
868#3319—791no—
869#3311—791no—
870#3308—791no—
871#3275—791no—
872#3266—791no—
873#3265—791no—
874#3179—791no—
875#3175—791no—
876#3172—791no—
877#3126—791no—
878#3124—791no—
879#3121—791no—
880#3118—791no—
881#3111—791no—
882#3110—791no—
883#2967—791no—
884#2949—791no—
885#2947—791no—
886C4×AGL(1,ℤ/8)—791no—
887C79#6150311yescharacteristic, complemented, Sylow
888C2×#137—791no—
889C2×AGL(1,ℤ/8)—791no—
890C22×SD16—791no—
891#559—791no—
892Q82C2×D7911yescharacteristic, complemented
893#556—21no—
894#556—21no—
895#556—21no—
896#556C2×D7911yescharacteristic
897#556C2×D7911yescharacteristic, complemented
898#556C2×D7911yescharacteristic, complemented
899#555—21no—
900#555C2×D7911yescharacteristic, complemented
901#554—791no—
902#553—791no—
903#553—1581no—
904#552—791no—
905#551—1581no—
906#551—1581no—
907D4×Q8C2×D7911yescharacteristic, complemented
908#548C2×D7911yescharacteristic
909#548C2×D7911yescharacteristic, complemented
910#547—791no—
911#546—791no—
912#546—791no—
913#546—1581no—
914D42—791no—
915#542—21no—
916#542—21no—
917#542—791no—
918#542C2×D7911yescharacteristic, complemented
919#542C2×D7911yescharacteristic, complemented
920#540—791no—
921#539—1581no—
922#538—1581no—
923#533—21no—
924#533C2×D7911yescharacteristic, complemented
925#529—21no—
926#529—791no—
927#529C2×D7911yescharacteristic
928#525—1581no—
929C2×#123—1581no—
930#520—791no—
931#519C2×D7911yescharacteristic, complemented
932#519C2×D7911yescharacteristic, complemented
933#518—791no—
934C4×#41C2×D7911yescharacteristic, complemented
935C2×C4×D4—791no—
936#501—791no—
937#501—791no—
938#500—791no—
939#497—791no—
940#496—791no—
941#495—791no—
942#491—791no—
943#489—791no—
944#489—791no—
945#489—791no—
946#488—791no—
947#486—791no—
948#485—791no—
949#485—791no—
950#485—791no—
951#484—791no—
952#484—791no—
953#484—791no—
954#482—791no—
955#482—791no—
956#482—791no—
957#482—791no—
958#482—791no—
959#480—791no—
960#479—791no—
961#479—791no—
962#479—791no—
963#478—791no—
964#477—791no—
965#477—791no—
966#476—791no—
967#475—791no—
968#474—791no—
969#474—791no—
970#474—791no—
971#474—791no—
972#470—791no—
973#470—791no—
974#469—791no—
975#468—791no—
976#468—791no—
977#468—791no—
978#468—791no—
979#468—791no—
980#467—791no—
981#466—791no—
982#466—791no—
983#465—791no—
984#464—791no—
985#464—791no—
986#464—791no—
987#464—791no—
988#463—791no—
989#463—791no—
990#463—791no—
991#463—791no—
992#461—791no—
993#461—791no—
994#460—791no—
995#460—791no—
996#452—791no—
997#452—791no—
998#451—791no—
999#450—791no—
1000#450—791no—
1001#450—791no—
1002#449—791no—
1003#449—791no—
1004#448—791no—
1005#448—791no—
1006#448—791no—
1007#447—791no—
1008#446—791no—
1009#446—791no—
1010#442—791no—
1011#442—791no—
1012#442—791no—
1013#441—791no—
1014#441—791no—
1015#440—791no—
1016#440—791no—
1017#440—791no—
1018#440—791no—
1019#440—791no—
1020#440—791no—
1021#440—791no—
1022#440—791no—
1023#440—791no—
1024#440—791no—
1025#440—791no—
1026C4×Q16—791no—
1027C4×Q16—791no—
1028C4×Q16—791no—
1029C4×SD16—791no—
1030C4×SD16—791no—
1031C4×SD16—791no—
1032C4×SD16—791no—
1033C4×SD16—791no—
1034C4×SD16—791no—
1035C4×SD16—791no—
1036C4×D8—791no—
1037C4×D8—791no—
1038#436—791no—
1039#436—791no—
1040#435—791no—
1041#435—791no—
1042#435—791no—
1043#435—791no—
1044#433—791no—
1045#433—791no—
1046#432—791no—
1047#428—791no—
1048#428—791no—
1049#427—791no—
1050#419—791no—
1051#418—791no—
1052#418—791no—
1053#417—791no—
1054#416—791no—
1055C2×#103—791no—
1056#405—791no—
1057#405—791no—
1058C4×M16—791no—
1059C2×#41—791no—
1060C2×#41—1581no—
1061C2×#41C22×D7911yescharacteristic
1062C22×Q8C22×D7911yescharacteristic
1063C22×Q8C22×D7911yescharacteristic
1064C22×D4—791no—
1065C22×D4—791no—
1066C22×D4—1581no—
1067C23×C4—1581no—
1068#137—1584no—
1069AGL(1,ℤ/8)—1584no—
1070C2×Q16—791no—
1071C2×Q16—791no—
1072C2×Q16—791no—
1073C2×SD16—791no—
1074C2×SD16—791no—
1075C2×SD16—791no—
1076C2×SD16—791no—
1077C2×SD16—791no—
1078C2×SD16—791no—
1079C2×SD16—791no—
1080C2×SD16—791no—
1081C2×SD16—791no—
1082C2×SD16—791no—
1083C2×SD16—1584no—
1084C2×D8—791no—
1085C2×D8—791no—
1086C2×D8—791no—
1087C2×M16—791no—
1088C2×M16—791no—
1089C2×M16—791no—
1090C2×M16—791no—
1091C22×C8—791no—
1092C22×C8—791no—
1093C4⋊Q8—21no—
1094C4⋊Q8—21no—
1095C4⋊Q8—21no—
1096C4⋊Q8—21no—
1097C4⋊Q8—791no—
1098C4⋊Q8C22×D7911yescharacteristic
1099C4⋊Q8C22×D7911yescharacteristic
1100C4⋊Q8C22×D7911yescharacteristic
1101C4⋊Q8C22×D7911yescharacteristic
1102#127—791no—
1103#126—21no—
1104#126—21no—
1105#126—21no—
1106#126—21no—
1107#126—21no—
1108#126—21no—
1109#126—21no—
1110#126—21no—
1111#126—1581no—
1112#126—1581no—
1113#126—1581no—
1114#126—1581no—
1115#126C22⋊D7911yescharacteristic
1116#126C22⋊D7911yescharacteristic
1117#125—21no—
1118#125—791no—
1119#125—791no—
1120#125—1581no—
1121#125C22⋊D7911yescharacteristic
1122#124—21no—
1123#124—21no—
1124#124—21no—
1125#124—21no—
1126#124—21no—
1127#124—21no—
1128#124—21no—
1129#124—21no—
1130#124—791no—
1131#124—791no—
1132#124—1581no—
1133#124—1581no—
1134#124C22⋊D7911yescharacteristic
1135#124C22×D7911yescharacteristic
1136#124C22×D7911yescharacteristic
1137#123—21no—
1138#123—21no—
1139#123—1581no—
1140#123—1581no—
1141#123—1581no—
1142#123—1581no—
1143#123—1581no—
1144#123—1581no—
1145#123—1581no—
1146#123—1581no—
1147#123—1581no—
1148#123—1581no—
1149#123—1581no—
1150#123—1581no—
1151#123C22⋊D7911yescharacteristic
1152#123C22⋊D7911yescharacteristic
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—21no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—791no—
1162C22⋊Q8—791no—
1163C22⋊Q8—1581no—
1164C22⋊Q8—1581no—
1165C22⋊Q8—1581no—
1166C22⋊Q8—1581no—
1167C22⋊Q8—1581no—
1168C22⋊Q8C22⋊D7911yescharacteristic
1169C22⋊Q8C22×D7911yescharacteristic
1170C22⋊Q8C22×D7911yescharacteristic
1171C22⋊Q8C22×D7911yescharacteristic
1172C22⋊Q8C22×D7911yescharacteristic
1173#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—791no—
1177#121—791no—
1178#121—791no—
1179#121—791no—
1180#121—1581no—
1181#121—1581no—
1182#121—1581no—
1183#121—1581no—
1184#121—1581no—
1185#121—1581no—
1186#121C22⋊D7911yescharacteristic
1187#121C22×D7911yescharacteristic
1188#121C22×D7911yescharacteristic
1189#120—1581no—
1190#120—1581no—
1191#120—1581no—
1192#120—1581no—
1193C4×Q8—21no—
1194C4×Q8—21no—
1195C4×Q8—21no—
1196C4×Q8—21no—
1197C4×Q8—21no—
1198C4×Q8—21no—
1199C4×Q8—21no—
1200C4×Q8—21no—
1201C4×Q8—791no—
1202C4×Q8—791no—
1203C4×Q8C22×D7911yescharacteristic
1204C4×Q8C22×D7911yescharacteristic
1205C4×Q8C22×D7911yescharacteristic
1206C4×Q8C22×D7911yescharacteristic
1207C4×Q8C22×D7911yescharacteristic
1208C4×Q8C22×D7911yescharacteristic
1209C4×Q8C22×D7911yescharacteristic
1210C4×Q8C22×D7911yescharacteristic
1211C4×Q8C22×D7911yescharacteristic
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—791no—
1218C4×D4—791no—
1219C4×D4—791no—
1220C4×D4—791no—
1221C4×D4—791no—
1222C4×D4—791no—
1223C4×D4—791no—
1224C4×D4—791no—
1225C4×D4—1581no—
1226C4×D4—1581no—
1227C4×D4—1581no—
1228C4×D4—1581no—
1229C4×D4—1581no—
1230C4×D4—1581no—
1231C4×D4—1581no—
1232C4×D4—1581no—
1233C4×D4—1581no—
1234C4×D4C22×D7911yescharacteristic
1235C4×D4C22×D7911yescharacteristic
1236C4×D4C22×D7911yescharacteristic
1237C4×D4C22×D7911yescharacteristic
1238C4×D4C22×D7911yescharacteristic
1239#117—21no—
1240#117—21no—
1241#117—21no—
1242#117—21no—
1243#117—21no—
1244#117—21no—
1245#117—21no—
1246#117—21no—
1247#117—791no—
1248#117—1581no—
1249#117—1581no—
1250#117—1581no—
1251#117C22×D7911yescharacteristic
1252#117C22×D7911yescharacteristic
1253#117C22×D7911yescharacteristic
1254#117C22×D7911yescharacteristic
1255#117C22×D7911yescharacteristic
1256C2×C4⋊C4—791no—
1257C2×C4⋊C4—791no—
1258C2×C4⋊C4—1581no—
1259C2×C4⋊C4—1581no—
1260C2×C22⋊C4—1581no—
1261C2×C22⋊C4—1581no—
1262C2×C22⋊C4—1581no—
1263C2×C22⋊C4—1581no—
1264C2×C22⋊C4—1581no—
1265C2×C42—21no—
1266C2×C42C22×D7911yescharacteristic
1267#107—791no—
1268#107—791no—
1269#107—791no—
1270#107—791no—
1271#107—791no—
1272#107—791no—
1273#107—791no—
1274#107—791no—
1275#107—791no—
1276#107—791no—
1277#106—791no—
1278#106—791no—
1279#106—791no—
1280#106—791no—
1281#106—791no—
1282#106—791no—
1283C4⋊C8—791no—
1284C4⋊C8—791no—
1285C4⋊C8—791no—
1286C4⋊C8—791no—
1287C4⋊C8—791no—
1288C4⋊C8—791no—
1289#103—791no—
1290#103—791no—
1291#103—791no—
1292#103—791no—
1293#103—791no—
1294#103—791no—
1295#103—791no—
1296#103—791no—
1297#103—791no—
1298#103—791no—
1299#103—791no—
1300#103—791no—
1301#103—791no—
1302#103—791no—
1303#103—791no—
1304#103—791no—
1305#102—791no—
1306#102—791no—
1307#102—791no—
1308#102—791no—
1309#102—791no—
1310#102—791no—
1311#102—791no—
1312#102—791no—
1313#102—791no—
1314#102—791no—
1315#102—791no—
1316#102—791no—
1317#102—791no—
1318#102—791no—
1319#102—791no—
1320#102—791no—
1321C22⋊C8—791no—
1322C22⋊C8—791no—
1323C22⋊C8—791no—
1324C22⋊C8—791no—
1325C22⋊C8—791no—
1326C22⋊C8—791no—
1327#97—791no—
1328#97—791no—
1329#97—791no—
1330#97—791no—
1331#97—791no—
1332#97—791no—
1333C4×C8—791no—
1334C4×C8—791no—
1335C4×C8—791no—
1336C4×C8—791no—
1337C24—1581no—
1338C24—1581no—
1339#41—22no—
1340#41—41no—
1341#41—3161no—
1342#41—6322no—
1343#41—1582no—
1344C2×Q8—21no—
1345C2×Q8—21no—
1346C2×Q8—21no—
1347C2×Q8—21no—
1348C2×Q8—21no—
1349C2×Q8—22no—
1350C2×Q8—22no—
1351C2×Q8—41no—
1352C2×Q8—41no—
1353C2×Q8—791no—
1354C2×Q8—1581no—
1355C2×Q8C2×C22⋊D7911yescharacteristic
1356C2×Q8C23×D7911yescharacteristic
1357C2×Q8C23×D7911yescharacteristic
1358C2×Q8C23×D7911yescharacteristic
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—3161no—
1363C2×D4—3161no—
1364C2×D4—791no—
1365C2×D4—791no—
1366C2×D4—791no—
1367C2×D4—6322no—
1368C2×D4—1582no—
1369C2×D4—1582no—
1370C2×D4—1581no—
1371C2×D4—1581no—
1372C2×D4—1581no—
1373C2×D4—1581no—
1374C2×D4—1581no—
1375C2×D4—1581no—
1376C2×D4—1581no—
1377C2×D4—1581no—
1378C2×D4—1581no—
1379C2×D4C2×C22⋊D7911yescharacteristic
1380C2×D4C2×C22⋊D7911yescharacteristic
1381C2×D4C2×C22⋊D7911yescharacteristic
1382C2×D4C23×D7911yescharacteristic
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—6322no—
1389C22×C4—1581no—
1390C22×C4—1581no—
1391C22×C4—1581no—
1392C22×C4—1581no—
1393C22×C4—1581no—
1394C22×C4—1581no—
1395C22×C4—1581no—
1396C22×C4—1581no—
1397C22×C4—1581no—
1398C22×C4—1581no—
1399C22×C4—1581no—
1400C22×C4C2×C22⋊D7911yescharacteristic
1401C22×C4C2×C22⋊D7911yescharacteristic
1402C22×C4C23×D7911yescharacteristic
1403C22×C4C23×D7911yescharacteristic
1404C22×C4C23×D7911yescharacteristic
1405Q16—3161no—
1406Q16—1582no—
1407Q16—1582no—
1408SD16—3161no—
1409SD16—3161no—
1410SD16—3161no—
1411SD16—3161no—
1412SD16—794no—
1413SD16—1582no—
1414SD16—1582no—
1415SD16—1582no—
1416SD16—1582no—
1417SD16—1582no—
1418D8—3161no—
1419D8—1582no—
1420D8—1582no—
1421M16—3161no—
1422M16—3161no—
1423M16—1582no—
1424M16—1582no—
1425C2×C8—3161no—
1426C2×C8—791no—
1427C2×C8—791no—
1428C2×C8—791no—
1429C2×C8—791no—
1430C2×C8—791no—
1431C2×C8—791no—
1432C2×C8—791no—
1433C2×C8—791no—
1434C2×C8—1582no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—791no—
1453C4⋊C4—791no—
1454C4⋊C4—791no—
1455C4⋊C4—791no—
1456C4⋊C4—1581no—
1457C4⋊C4—1581no—
1458C4⋊C4—1581no—
1459C4⋊C4—1581no—
1460C4⋊C4—1581no—
1461C4⋊C4—1581no—
1462C4⋊C4—1581no—
1463C4⋊C4—1581no—
1464C4⋊C4—1581no—
1465C4⋊C4—1581no—
1466C4⋊C4—1581no—
1467C4⋊C4C2×C22⋊D7911yescharacteristic
1468C4⋊C4C2×C22⋊D7911yescharacteristic
1469C4⋊C4C2×C22⋊D7911yescharacteristic
1470C4⋊C4C2×C22⋊D7911yescharacteristic
1471C4⋊C4C2×C22⋊D7911yescharacteristic
1472C4⋊C4C2×C22⋊D7911yescharacteristic
1473C4⋊C4C2×C22⋊D7911yescharacteristic
1474C4⋊C4C2×C22⋊D7911yescharacteristic
1475C4⋊C4C2×C22⋊D7911yescharacteristic
1476C4⋊C4C2×C22⋊D7911yescharacteristic
1477C4⋊C4C23×D7911yescharacteristic
1478C4⋊C4C23×D7911yescharacteristic
1479C4⋊C4C23×D7911yescharacteristic
1480C4⋊C4C23×D7911yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—1581no—
1497C22⋊C4—1581no—
1498C22⋊C4—1581no—
1499C22⋊C4—1581no—
1500C22⋊C4—1581no—
1501C22⋊C4—1581no—
1502C22⋊C4—1581no—
1503C22⋊C4—1581no—
1504C22⋊C4—1581no—
1505C22⋊C4—1581no—
1506C22⋊C4—1581no—
1507C22⋊C4—1581no—
1508C22⋊C4—1581no—
1509C22⋊C4—1581no—
1510C22⋊C4—1581no—
1511C22⋊C4—1581no—
1512C22⋊C4—1581no—
1513C22⋊C4—1581no—
1514C22⋊C4—1581no—
1515C22⋊C4C2×C22⋊D7911yescharacteristic
1516C22⋊C4C2×C22⋊D7911yescharacteristic
1517C22⋊C4C2×C22⋊D7911yescharacteristic
1518C22⋊C4C2×C22⋊D7911yescharacteristic
1519C22⋊C4C2×C22⋊D7911yescharacteristic
1520C22⋊C4C2×C22⋊D7911yescharacteristic
1521C22⋊C4C2×C22⋊D7911yescharacteristic
1522C22⋊C4C2×C22⋊D7911yescharacteristic
1523C22⋊C4C2×C22⋊D7911yescharacteristic
1524C22⋊C4C2×C22⋊D7911yescharacteristic
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42—21no—
1533C42—21no—
1534C42—21no—
1535C42—21no—
1536C42—1581no—
1537C42—1581no—
1538C42—1581no—
1539C42C2×C22⋊D7911yescharacteristic
1540C42C2×C22⋊D7911yescharacteristic
1541C42C23×D7911yescharacteristic
1542C42C23×D7911yescharacteristic
1543C42C23×D7911yescharacteristic
1544C42C23×D7911yescharacteristic
1545C23—21no—
1546C23—3162no—
1547C23—3162no—
1548C23—3162no—
1549C23—6321no—
1550C23—6321no—
1551C23—6321no—
1552C23—1581no—
1553C23—1581no—
1554C23—1581no—
1555C23C22×C22⋊D7911yescharacteristic
1556C23C22×C22⋊D7911yescharacteristic
1557C23C22×C22⋊D7911yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—21no—
1563Q8—41no—
1564Q8—42no—
1565Q8—42no—
1566Q8—81no—
1567Q8—81no—
1568Q8—81no—
1569Q8—6321no—
1570Q8—1581no—
1571Q8—1581no—
1572Q8#41×D7912yes—
1573D4—21no—
1574D4—21no—
1575D4—41no—
1576D4—41no—
1577D4—41no—
1578D4—42no—
1579D4—81no—
1580D4—81no—
1581D4—3162no—
1582D4—3162no—
1583D4—3162no—
1584D4—3162no—
1585D4—792no—
1586D4—6321no—
1587D4—6321no—
1588D4—6321no—
1589D4—6321no—
1590D4—6321no—
1591D4—1581no—
1592D4—1581no—
1593D4—1581no—
1594D4—1581no—
1595D4—1581no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—42no—
1612C2×C4—42no—
1613C2×C4—42no—
1614C2×C4—42no—
1615C2×C4—81no—
1616C2×C4—3162no—
1617C2×C4—3162no—
1618C2×C4—6321no—
1619C2×C4—6321no—
1620C2×C4—6321no—
1621C2×C4—6321no—
1622C2×C4—6321no—
1623C2×C4—6321no—
1624C2×C4—6321no—
1625C2×C4—6321no—
1626C2×C4—6321no—
1627C2×C4—1581no—
1628C2×C4—1581no—
1629C2×C4—1581no—
1630C2×C4—1581no—
1631C2×C4—1581no—
1632C2×C4C22×C22⋊D7911yescharacteristic
1633C2×C4C22×C22⋊D7911yescharacteristic
1634C2×C4C22×C22⋊D7911yescharacteristic
1635C2×C4C22×C22⋊D7911yescharacteristic
1636C2×C4C22×C22⋊D7911yescharacteristic
1637C2×C4C22×C22⋊D7911yescharacteristic
1638C2×C4C22×C22⋊D7911yescharacteristic
1639C2×C4C22×C22⋊D7911yescharacteristic
1640C2×C4C22×C22⋊D7911yescharacteristic
1641C2×C4C22×C22⋊D7911yescharacteristic
1642C2×C4C22×C22⋊D7911yescharacteristic
1643C2×C4C24×D7911yescharacteristic
1644C8—792no—
1645C8—1581no—
1646C8—1581no—
1647C8—1581no—
1648C8—1581no—
1649C8—1581no—
1650C8—1581no—
1651C8—1581no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—21no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—3161no—
1665C22—3161no—
1666C22—3161no—
1667C22—3161no—
1668C22—3161no—
1669C22—3161no—
1670C22—3161no—
1671C22—3161no—
1672C22—6324no—
1673C22—1582no—
1674C22—12642no—
1675C22C23×C22⋊D7911yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—22no—
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—21no—
1686C4—21no—
1687C4—21no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—3161no—
1695C4—3161no—
1696C4—3161no—
1697C4—3161no—
1698C4—3161no—
1699C4C2×#41×D7911yescharacteristic
1700C4#1909939911yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—41no—
1704C2—81no—
1705C2—3162no—
1706C2—6321no—
1707C2—6321no—
1708C2#41×C22⋊D7911yescharacteristic
1709C2#2377817911yescharacteristic
1710C2#2377818711yescharacteristic
subgroupG/H
centerC22C23×C22⋊D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3518C2
socleC22×C79C23×D4
hypercenter#3518D79
hypocenterC79#61503
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #529 ◁ #3518

Complements

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

NH ≅ G/Ntype
1. #23777344C2semidirect
2. #23776466C2semidirect
3. #23776306C2semidirect
4. #23776221C2semidirect
5. #23776214C2semidirect
6. #23775978C2semidirect
7. #23775924C2semidirect
8. #23775900C2semidirect
9. #23775668C2semidirect
10. #23775625C2semidirect
11. #23775571C2semidirect
12. #23775550C2semidirect
13. #23775430C2semidirect
14. #23775391C2semidirect
15. #23775032C2semidirect
16. #23774911C2semidirect
17. #23774896C2semidirect
18. #23774077C2semidirect
19. #23774033C2semidirect
20. #23774000C2semidirect
21. #23773691C2semidirect
22. #23773656C2semidirect
23. #23773629C2semidirect
24. #23773578C2semidirect
25. #23773509C2semidirect
26. #23773495C2semidirect
27. #23772387C2semidirect
28. #23772259C2semidirect
29. #23772243C2semidirect
30. C4×#14579186C2semidirect
31. C79×#3518C2semidirect
57. #19098969C22semidirect
58. #19098969C22semidirect
59. #19098966C22semidirect
60. #19098955C22semidirect
62. #19098945C22semidirect
63. #19098931C22semidirect
64. #19098925C22semidirect
65. #19098925C22semidirect
66. #19098922C22semidirect
67. #19098917C22semidirect
69. #19098904C22semidirect
70. #19098904C22semidirect
71. #19098901C22semidirect
72. #19098896C22semidirect
73. #19098896C22semidirect
74. #19098896C22semidirect
77. #19098887C22semidirect
78. #19098887C22semidirect
79. #19098884C22semidirect
80. #19098874C22semidirect
81. #19098870C22semidirect
82. #19098870C22semidirect
83. #19098870C22semidirect
84. #19098863C22semidirect
85. #19098858C22semidirect
86. #19098855C22semidirect
88. #19098848C22semidirect
91. #19098840C22semidirect
92. #19098840C22semidirect
93. #19098819C22semidirect
94. #19098819C22semidirect
95. #19098814C22semidirect
99. #19098811C22semidirect
100. #19098807C22semidirect
101. #19098802C22semidirect
103. #19098797C22semidirect
104. #19098794C22semidirect
105. #19098785C22semidirect
106. #19098785C22semidirect
107. #19098785C22semidirect
108. #19098782C22semidirect
109. #19098778C22semidirect
112. #19098775C22semidirect
114. #19098765C22semidirect
117. #19098725C22semidirect
119. #19098719C22semidirect
126. #19098702C22semidirect
127. #19098702C22semidirect
129. #19098694C22semidirect
130. #19098694C22semidirect
132. #19098673C22semidirect
133. #19098673C22semidirect
134. #19098668C22semidirect
135. #19098668C22semidirect
136. #19098663C22semidirect
142. #19098661C22semidirect
143. #19098661C22semidirect
144. #19098661C22semidirect
145. #19098661C22semidirect
146. #19098661C22semidirect
147. C4×#11929614C22semidirect
148. C4×#11929614C22semidirect
149. C4×#11929614C22semidirect
153. C4×#11929611C22semidirect
154. C4×#11929611C22semidirect
155. C4×#11929611C22semidirect
156. C4×#11929611C22semidirect
158. C4×#11929609C22semidirect
160. #19098641C22semidirect
162. #19098635C22semidirect
163. #19098635C22semidirect
164. #19098635C22semidirect
165. #19098624C22semidirect
166. #19098624C22semidirect
167. #19098620C22semidirect
168. #19098606C22semidirect
169. #19098606C22semidirect
170. #19098599C22semidirect
171. #19098572C22semidirect
174. #19098564C22semidirect
176. C2×#14579085C22semidirect
177. #19098519C22semidirect
178. #19098519C22semidirect
179. C4×#11929608C22semidirect
180. Q82×C79C22semidirect
185. #556×C79C22semidirect
186. #556×C79C22semidirect
188. #555×C79C22semidirect
189. D4×Q8×C79C22semidirect
191. #548×C79C22semidirect
194. #542×C79C22semidirect
195. #542×C79C22semidirect
197. #533×C79C22semidirect
200. #519×C79C22semidirect
201. #519×C79C22semidirect
202. C4×#41×C79C22semidirect
529. #11929611#41semidirect
856. #3518D79semidirect
887. C79#61503semidirect
892. Q82C2×D79semidirect
897. #556C2×D79semidirect
898. #556C2×D79semidirect
900. #555C2×D79semidirect
907. D4×Q8C2×D79semidirect
909. #548C2×D79semidirect
918. #542C2×D79semidirect
919. #542C2×D79semidirect
924. #533C2×D79semidirect
931. #519C2×D79semidirect
932. #519C2×D79semidirect
934. C4×#41C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237773442
#237764662
#237763062
#237762212
#237762142
#237759782
#237759242
#237759002
#237756682
#237756252
#237755712
#237755502
#237754302
#237753912
#237750322
#237749112
#237748962
#237740772
#237740332
#237740002
#237736912
#237736562
#237736292
#237735782
#237735092
#237734952
#237723872
#237722592
#237722432
C4×#145791862
C79×#35182
#6150379