Finite Group Databasebeta

← #35178722

Subgroups — #35178722

Order 20224.

1680 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777905C211yesmaximal, characteristic, complemented
2#23777202C211yesmaximal, characteristic, complemented
3#23776358C211yesmaximal, characteristic, complemented
4#23776353C211yesmaximal, characteristic, complemented
5#23776351C211yesmaximal, characteristic, complemented
6#23776344C211yesmaximal, characteristic, complemented
7#23776318C211yesmaximal, characteristic, complemented
8#23776294C211yesmaximal, characteristic, complemented
9#23776272C211yesmaximal, characteristic, complemented
10#23776262C211yesmaximal, characteristic, complemented
11#23776230C211yesmaximal, characteristic, complemented
12#23776230C211yesmaximal, characteristic, complemented
13#23776197C211yesmaximal, characteristic, complemented
14#23776148C211yesmaximal, characteristic, complemented
15#23776148C211yesmaximal, characteristic, complemented
16#23776117C211yesmaximal, characteristic, complemented
17#23776065C211yesmaximal, characteristic, complemented
18#23776048C211yesmaximal, characteristic, complemented
19#23774694C211yesmaximal, characteristic, complemented
20#23774679C211yesmaximal, characteristic, complemented
21#23774668C211yesmaximal, characteristic, complemented
22#23774638C211yesmaximal, characteristic, complemented
23#23774576C211yesmaximal, characteristic, complemented
24#23773653C211yesmaximal, characteristic, complemented
25#23773638C211yesmaximal, characteristic
26#23773579C211yesmaximal, characteristic, complemented
27#23773579C211yesmaximal, characteristic, complemented
28#23773535C211yesmaximal, characteristic, complemented
29#23773444C211yesmaximal, characteristic, complemented
30#23772492C211yesmaximal, characteristic, complemented
31C79×#3241C211yesmaximal, characteristic, complemented
32#19099316—21no—
33#19099316—21no—
34#19099299C2211yescharacteristic, complemented
35#19099299C2211yescharacteristic, complemented
36#19099290C2211yescharacteristic, complemented
37#19099290C2211yescharacteristic, complemented
38#19099283C2211yescharacteristic, complemented
39#19099283C2211yescharacteristic, complemented
40#19099274—21no—
41#19099274C2211yescharacteristic
42#19099274C2211yescharacteristic
43#19099272C2211yescharacteristic, complemented
44#19099272C2211yescharacteristic, complemented
45#19099269—21no—
46#19099269—21no—
47#19099269C2211yescharacteristic
48#19099269C2211yescharacteristic
49#19099269C2211yescharacteristic
50#19099269C2211yescharacteristic
51#19099250—21no—
52#19099250—21no—
53#19099228—21no—
54#19099228C2211yescharacteristic
55#19099228C2211yescharacteristic
56#19099194C2211yescharacteristic
57#19099188—21no—
58#19099188—21no—
59#19099180—21no—
60#19099180—21no—
61#19099180C2211yescharacteristic
62#19099180C2211yescharacteristic
63#19099175C2211yescharacteristic
64#19099158—21no—
65#19099158—21no—
66#19099116C2211yescharacteristic
67#19099116C2211yescharacteristic
68#19099094C2211yescharacteristic
69#19099094C2211yescharacteristic
70C22⋊Q8×D79—21no—
71C22⋊Q8×D79—21no—
72#19099037C2211yescharacteristic
73#19099037C2211yescharacteristic
74C2×#14579123C2211yescharacteristic
75#19098971C2211yescharacteristic, complemented
76#19098971C2211yescharacteristic, complemented
77#19098970C2211yescharacteristic, complemented
78#19098970C2211yescharacteristic, complemented
79#19098969C2211yescharacteristic, complemented
80#19098967C2211yescharacteristic, complemented
81#19098964C2211yescharacteristic, complemented
82#19098963C2211yescharacteristic, complemented
83#19098962C2211yescharacteristic, complemented
84#19098960C2211yescharacteristic, complemented
85#19098933C2211yescharacteristic, complemented
86#19098921C2211yescharacteristic, complemented
87#19098921C2211yescharacteristic, complemented
88#19098921C2211yescharacteristic, complemented
89#19098921C2211yescharacteristic, complemented
90#19098916C2211yescharacteristic, complemented
91#19098916C2211yescharacteristic, complemented
92#19098916C2211yescharacteristic, complemented
93#19098916C2211yescharacteristic, complemented
94#19098915C2211yescharacteristic, complemented
95#19098905C2211yescharacteristic
96#19098905C2211yescharacteristic
97#19098904C2211yescharacteristic
98#19098904C2211yescharacteristic
99#19098898C2211yescharacteristic
100#19098893C2211yescharacteristic
101#19098884C2211yescharacteristic
102#19098884C2211yescharacteristic
103#19098873C2211yescharacteristic, complemented
104#19098873C2211yescharacteristic, complemented
105#19098869C2211yescharacteristic, complemented
106#19098869C2211yescharacteristic, complemented
107#19098867C2211yescharacteristic, complemented
108#19098867C2211yescharacteristic, complemented
109#19098866C2211yescharacteristic
110#19098866C2211yescharacteristic
111#19098865C2211yescharacteristic, complemented
112#19098865C2211yescharacteristic, complemented
113#19098864C2211yescharacteristic
114#19098864C2211yescharacteristic
115#19098862C2211yescharacteristic
116#19098862C2211yescharacteristic
117#19098861C2211yescharacteristic, complemented
118#19098861C2211yescharacteristic, complemented
119#19098860C2211yescharacteristic
120#19098860C2211yescharacteristic
121#19098857C2211yescharacteristic, complemented
122#19098857C2211yescharacteristic, complemented
123#19098855C2211yescharacteristic, complemented
124#19098852C2211yescharacteristic
125#19098852C2211yescharacteristic
126#19098851C2211yescharacteristic, complemented
127#19098851C2211yescharacteristic, complemented
128#19098847C2211yescharacteristic, complemented
129#19098847C2211yescharacteristic, complemented
130#19098845C2211yescharacteristic, complemented
131#19098842C2211yescharacteristic
132#19098842C2211yescharacteristic
133#19098841C2211yescharacteristic, complemented
134#19098841C2211yescharacteristic, complemented
135#19098777C2211yescharacteristic
136#19098777C2211yescharacteristic
137#19098777C2211yescharacteristic
138#19098777C2211yescharacteristic
139#19098777C2211yescharacteristic
140#19098777C2211yescharacteristic
141#19098777C2211yescharacteristic
142#19098777C2211yescharacteristic
143#19098769C2211yescharacteristic
144#19098769C2211yescharacteristic
145#19098755C2211yescharacteristic
146#19098755C2211yescharacteristic
147#19098716C2211yescharacteristic
148#19098716C2211yescharacteristic
149#19098696C2211yescharacteristic
150#19098696C2211yescharacteristic
151#19098693C2211yescharacteristic, complemented
152#19098692C2211yescharacteristic, complemented
153#19098692C2211yescharacteristic, complemented
154#19098691C2211yescharacteristic, complemented
155#19098691C2211yescharacteristic, complemented
156#19098690C2211yescharacteristic, complemented
157C8×Dic158C2211yescharacteristic, complemented
158#19098687C2211yescharacteristic, complemented
159#19098673C2211yescharacteristic
160#19098673C2211yescharacteristic
161#19098672C2211yescharacteristic
162#19098672C2211yescharacteristic
163#19098672C2211yescharacteristic
164#19098672C2211yescharacteristic
165#19098665C2211yescharacteristic
166#19098665C2211yescharacteristic
167#19098662C2211yescharacteristic
168#19098662C2211yescharacteristic
169#19098662C2211yescharacteristic
170#19098662C2211yescharacteristic
171C4×#11929613C2211yescharacteristic
172C4×#11929613C2211yescharacteristic
173#19098650C2211yescharacteristic
174#19098650C2211yescharacteristic
175#19098650C2211yescharacteristic
176#19098650C2211yescharacteristic
177C4×#11929609C2211yescharacteristic
178C4×#11929609C2211yescharacteristic
179#19098643C2211yescharacteristic
180#19098643C2211yescharacteristic
181#19098643C2211yescharacteristic
182#19098643C2211yescharacteristic
183#19098624C2211yescharacteristic
184#19098621C2211yescharacteristic
185#19098621C2211yescharacteristic
186#19098617C2211yescharacteristic
187#19098613C2211yescharacteristic
188#544×C79C2211yescharacteristic
189#540×C79C2211yescharacteristic
190#501×C79C2211yescharacteristic, complemented
191#499×C79C2211yescharacteristic, complemented
192#490×C79C2211yescharacteristic, complemented
193#486×C79C2211yescharacteristic, complemented
194#482×C79C2211yescharacteristic
195#482×C79C2211yescharacteristic
196#481×C79C2211yescharacteristic
197#480×C79C2211yescharacteristic
198#478×C79C2211yescharacteristic, complemented
199#478×C79C2211yescharacteristic, complemented
200#476×C79C2211yescharacteristic, complemented
201#474×C79C2211yescharacteristic, complemented
202#433×C79C2211yescharacteristic
203C2×Q8×D79—21no—
204C2×Q8×D79—21no—
205C22×D316C2311yescharacteristic
206C22×C4×D79—21no—
207C2×#11929613C2311yescharacteristic
208C2×#11929613C2311yescharacteristic
209C2×#11929613C2311yescharacteristic
210C2×#11929613C2311yescharacteristic
211C2×#11929609C2311yescharacteristic
212C2×#11929609C2311yescharacteristic
213C2×#11929609C2311yescharacteristic
214C2×#11929609C2311yescharacteristic
215#14579161C2311yescharacteristic
216#14579160—21no—
217#14579160—21no—
218#14579160—21no—
219#14579160D411yescharacteristic
220#14579160D411yescharacteristic
221#14579160C2311yescharacteristic
222#14579160C2311yescharacteristic
223#14579160C2311yescharacteristic
224#14579160C2311yescharacteristic
225#14579160C2311yescharacteristic
226#14579160C2311yescharacteristic
227#14579154—21no—
228#14579154—21no—
229#14579154—21no—
230#14579154—21no—
231#14579154—21no—
232#14579154—21no—
233#14579154—21no—
234#14579154—21no—
235#14579154—21no—
236#14579154—21no—
237#14579153C2311yescharacteristic
238#14579152—21no—
239#14579152D411yescharacteristic
240#14579152D411yescharacteristic
241#14579152C2311yescharacteristic
242#14579152C2311yescharacteristic
243#14579152C2311yescharacteristic
244#14579152C2311yescharacteristic
245#14579152C2311yescharacteristic
246#14579152C2311yescharacteristic
247#14579151—21no—
248#14579151—21no—
249#14579151—21no—
250#14579151—21no—
251#14579151—21no—
252#14579151—21no—
253#14579148—21no—
254#14579148—21no—
255#14579148—21no—
256#14579148—21no—
257#14579148C2311yescharacteristic
258#14579148C2311yescharacteristic
259#14579148C2311yescharacteristic
260#14579148C2311yescharacteristic
261#14579142—21no—
262#14579142—21no—
263#14579142—21no—
264#14579142—21no—
265#14579142—21no—
266#14579142—21no—
267#14579142—21no—
268#14579142—21no—
269#14579141—21no—
270#14579141—21no—
271#14579141—21no—
272#14579141—21no—
273#14579141—21no—
274#14579141—21no—
275#14579140—21no—
276#14579140—21no—
277#14579140—21no—
278#14579140—21no—
279#14579140—21no—
280#14579140—21no—
281#14579140C2311yescharacteristic
282#14579140C2311yescharacteristic
283#14579139—21no—
284#14579139—21no—
285#14579139—21no—
286#14579139—21no—
287#14579139—21no—
288#14579139—21no—
289#14579139—21no—
290#14579139—21no—
291#14579139—21no—
292#14579139—21no—
293#14579139—21no—
294#14579139—21no—
295#14579138—21no—
296#14579138—21no—
297#14579138—21no—
298#14579138—21no—
299#14579138—21no—
300#14579138—21no—
301#14579138—21no—
302#14579138—21no—
303#14579138D411yescharacteristic
304#14579138D411yescharacteristic
305#14579138D411yescharacteristic
306#14579138D411yescharacteristic
307#14579137—21no—
308#14579137—21no—
309#14579137—21no—
310#14579137—21no—
311#14579137—21no—
312#14579137—21no—
313C4×Dic158—21no—
314C4×Dic158—21no—
315C4×Dic158C2311yescharacteristic
316C4×Dic158C2311yescharacteristic
317C4×Dic158C2311yescharacteristic
318C4×Dic158C2311yescharacteristic
319C4×Dic158C2311yescharacteristic
320C4×Dic158C2311yescharacteristic
321#14579126—21no—
322#14579126—21no—
323#14579126C2311yescharacteristic
324#14579126C2311yescharacteristic
325#14579126C2311yescharacteristic
326#14579126C2311yescharacteristic
327C4×D316—21no—
328C4×D316—21no—
329C4×D316C2311yescharacteristic
330C4×D316C2311yescharacteristic
331C4×D316C2311yescharacteristic
332C4×D316C2311yescharacteristic
333D4×Dic79—21no—
334D4×Dic79—21no—
335D4×Dic79—21no—
336D4×Dic79—21no—
337D4×Dic79C2311yescharacteristic
338D4×Dic79C2311yescharacteristic
339D4×Dic79C2311yescharacteristic
340D4×Dic79C2311yescharacteristic
341#14579123—21no—
342#14579123—21no—
343#14579123—21no—
344#14579123—21no—
345#14579123C2311yescharacteristic
346#14579123C2311yescharacteristic
347#14579123C2311yescharacteristic
348#14579123C2311yescharacteristic
349#14579123C2311yescharacteristic
350#14579123C2311yescharacteristic
351#14579123C2311yescharacteristic
352#14579123C2311yescharacteristic
353#14579120—21no—
354#14579120—21no—
355#14579120C2311yescharacteristic
356#14579120C2311yescharacteristic
357#14579117—21no—
358#14579117—21no—
359C2×Dic79⋊C4—21no—
360C2×Dic79⋊C4—21no—
361C4⋊C4×D79—21no—
362C4⋊C4×D79—21no—
363C4⋊C4×D79—21no—
364C4⋊C4×D79—21no—
365C4⋊C4×D79—21no—
366C4⋊C4×D79—21no—
367C2×(C2×D79)⋊C4—21no—
368C22⋊C4×D79—21no—
369C22⋊C4×D79—21no—
370C22⋊C4×D79—21no—
371C22⋊C4×D79—21no—
372C2×C4×Dic79C2311yescharacteristic
373#14579095C2311yescharacteristic
374#14579095C2311yescharacteristic
375#14579094C2311yescharacteristic
376#14579094C2311yescharacteristic
377#14579094C2311yescharacteristic
378#14579094C2311yescharacteristic
379#14579094C2311yescharacteristic
380#14579094C2311yescharacteristic
381#14579093C2311yescharacteristic
382#14579093C2311yescharacteristic
383#14579092C2311yescharacteristic
384#14579092C2311yescharacteristic
385#14579092C2311yescharacteristic
386#14579092C2311yescharacteristic
387#14579092C2311yescharacteristic
388#14579092C2311yescharacteristic
389C4⋊(C79⋊C8)C2311yescharacteristic
390C4⋊(C79⋊C8)C2311yescharacteristic
391Dic79⋊C8C2311yescharacteristic
392Dic79⋊C8C2311yescharacteristic
393Dic79⋊C8C2311yescharacteristic
394Dic79⋊C8C2311yescharacteristic
395Dic79⋊C8C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399#14579086C2311yescharacteristic
400#14579086C2311yescharacteristic
401#14579086C2311yescharacteristic
402#14579086C2311yescharacteristic
403#14579084C2311yescharacteristic
404#14579084C2311yescharacteristic
405#14579084C2311yescharacteristic
406#14579084C2311yescharacteristic
407#14579084C2311yescharacteristic
408#14579084C2311yescharacteristic
409#14579084C2311yescharacteristic
410#14579084C2311yescharacteristic
411#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579083C2311yescharacteristic
414#14579083C2311yescharacteristic
415#14579082C2311yescharacteristic
416#14579082C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579081C2311yescharacteristic
420#14579081C2311yescharacteristic
421#14579081C2311yescharacteristic
422#14579081C2311yescharacteristic
423C22⋊(C79⋊C8)C2311yescharacteristic
424C22⋊(C79⋊C8)C2311yescharacteristic
425#14579072C2311yescharacteristic
426#14579071C2311yescharacteristic
427#14579071C2311yescharacteristic
428#14579071C2311yescharacteristic
429#14579071C2311yescharacteristic
430C4×C79⋊C8C2311yescharacteristic
431C8×Dic79C2311yescharacteristic
432C8×Dic79C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C4⋊Q8×C79—21no—
436C4⋊Q8×C79C2311yescharacteristic
437C4⋊Q8×C79C2311yescharacteristic
438#127×C79C2311yescharacteristic
439#125×C79—21no—
440#125×C79C2311yescharacteristic
441#125×C79C2311yescharacteristic
442#125×C79C2311yescharacteristic
443#123×C79—21no—
444#123×C79—21no—
445C22⋊Q8×C79—21no—
446C22⋊Q8×C79—21no—
447#121×C79—21no—
448#121×C79—21no—
449#121×C79C2311yescharacteristic
450#121×C79C2311yescharacteristic
451C4×D4×C79C2311yescharacteristic
452C4×D4×C79C2311yescharacteristic
453#117×C79C2311yescharacteristic
454#117×C79C2311yescharacteristic
455C2×C4⋊C4×C79C2311yescharacteristic
456#107×C79C2311yescharacteristic
457#107×C79C2311yescharacteristic
458#107×C79C2311yescharacteristic
459#107×C79C2311yescharacteristic
460#106×C79C2311yescharacteristic
461#106×C79C2311yescharacteristic
462#106×C79C2311yescharacteristic
463#106×C79C2311yescharacteristic
464C4⋊C8×C79C2311yescharacteristic
465C4⋊C8×C79C2311yescharacteristic
466#102×C79C2311yescharacteristic
467#102×C79C2311yescharacteristic
468#102×C79C2311yescharacteristic
469#102×C79C2311yescharacteristic
470#102×C79C2311yescharacteristic
471#102×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474C22⋊C8×C79C2311yescharacteristic
475C22⋊C8×C79C2311yescharacteristic
476#97×C79C2311yescharacteristic
477C4×C8×C79C2311yescharacteristic
478C23×D79—21no—
479C2×Dic158—21no—
480C2×Dic158—21no—
481C2×Dic158—21no—
482C2×Dic158—21no—
483C2×Dic158—21no—
484C2×Dic158—21no—
485C2×Dic158C2×D411yescharacteristic
486C2×Dic158C2×D411yescharacteristic
487C2×Dic158C2×D411yescharacteristic
488C2×Dic158C2×D411yescharacteristic
489C2×Dic158C2411yescharacteristic
490C2×Dic158C2411yescharacteristic
491Q8×D79—82no—
492Q8×D79—82no—
493C2×D316—22no—
494C2×D316—22no—
495C2×D316—21no—
496C2×D316C2411yescharacteristic
497C2×D316C2411yescharacteristic
498C22×Dic79—21no—
499C22×Dic79—21no—
500C22×Dic79—21no—
501C22×Dic79—21no—
502C22×Dic79C2×D411yescharacteristic
503C22×Dic79C2×D411yescharacteristic
504C2×C4×D79—21no—
505C2×C4×D79—21no—
506C2×C4×D79—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#11929613—22no—
518#11929613—22no—
519#11929613—22no—
520#11929613—22no—
521#11929609—22no—
522#11929609—22no—
523#11929609—22no—
524#11929609—22no—
525C2×C79⋊C8C2411yescharacteristic
526C2×C79⋊C8C2411yescharacteristic
527C2×C79⋊C8C2411yescharacteristic
528C2×C79⋊C8C2411yescharacteristic
529C4⋊Dic79—21no—
530C4⋊Dic79—21no—
531C4⋊Dic79—21no—
532C4⋊Dic79—21no—
533C4⋊Dic79—21no—
534C4⋊Dic79—21no—
535C4⋊Dic79—21no—
536C4⋊Dic79—21no—
537C4⋊Dic79C2×D411yescharacteristic
538C4⋊Dic79C2×D411yescharacteristic
539C4⋊Dic79C2×D411yescharacteristic
540C4⋊Dic79C2×D411yescharacteristic
541C4⋊Dic79C2×D411yescharacteristic
542C4⋊Dic79C2×D411yescharacteristic
543C4⋊Dic79C2411yescharacteristic
544C4⋊Dic79C2411yescharacteristic
545C4⋊Dic79C2411yescharacteristic
546C4⋊Dic79C2411yescharacteristic
547Dic79⋊C4—21no—
548Dic79⋊C4—21no—
549Dic79⋊C4—21no—
550Dic79⋊C4—21no—
551Dic79⋊C4—21no—
552Dic79⋊C4—21no—
553Dic79⋊C4—21no—
554Dic79⋊C4—21no—
555Dic79⋊C4—21no—
556Dic79⋊C4—21no—
557Dic79⋊C4—21no—
558Dic79⋊C4—21no—
559Dic79⋊C4—21no—
560Dic79⋊C4—21no—
561Dic79⋊C4—21no—
562Dic79⋊C4—21no—
563Dic79⋊C4—21no—
564Dic79⋊C4—21no—
565Dic79⋊C4—21no—
566Dic79⋊C4—21no—
567Dic79⋊C4—21no—
568Dic79⋊C4—21no—
569Dic79⋊C4C2×D411yescharacteristic
570Dic79⋊C4C2×D411yescharacteristic
571Dic79⋊C4C2×D411yescharacteristic
572Dic79⋊C4C2×D411yescharacteristic
573Dic79⋊C4C2×D411yescharacteristic
574Dic79⋊C4C2×D411yescharacteristic
575Dic79⋊C4C2×D411yescharacteristic
576Dic79⋊C4C2×D411yescharacteristic
577C22⋊Dic79—21no—
578C22⋊Dic79—21no—
579C22⋊Dic79—21no—
580C22⋊Dic79—21no—
581C22⋊Dic79—21no—
582C22⋊Dic79—21no—
583C22⋊Dic79—21no—
584C22⋊Dic79—21no—
585C22⋊Dic79—21no—
586C22⋊Dic79—21no—
587C22⋊Dic79—21no—
588C22⋊Dic79—21no—
589C22⋊Dic79—21no—
590C22⋊Dic79—21no—
591C22⋊Dic79—21no—
592C22⋊Dic79C2×D411yescharacteristic
593C22⋊Dic79C2×D411yescharacteristic
594(C2×D79)⋊C4—21no—
595(C2×D79)⋊C4—21no—
596(C2×D79)⋊C4—21no—
597(C2×D79)⋊C4—21no—
598(C2×D79)⋊C4—21no—
599(C2×D79)⋊C4—21no—
600(C2×D79)⋊C4—21no—
601(C2×D79)⋊C4—21no—
602(C2×D79)⋊C4—21no—
603(C2×D79)⋊C4—21no—
604(C2×D79)⋊C4—21no—
605(C2×D79)⋊C4—21no—
606C4×Dic79—21no—
607C4×Dic79—21no—
608C4×Dic79—21no—
609C4×Dic79—21no—
610C4×Dic79—21no—
611C4×Dic79—21no—
612C4×Dic79—21no—
613C4×Dic79C2×D411yescharacteristic
614C4×Dic79C2×D411yescharacteristic
615C4×Dic79C2411yescharacteristic
616C4×Dic79C2411yescharacteristic
617C4×Dic79C2411yescharacteristic
618C4×Dic79C2411yescharacteristic
619C2×Q8×C79—21no—
620C2×Q8×C79—21no—
621C2×D4×C79—21no—
622C2×D4×C79—21no—
623C2×D4×C79—21no—
624C2×D4×C79—21no—
625C2×D4×C79C2411yescharacteristic
626C2×D4×C79C2411yescharacteristic
627C22×C4×C79—21no—
628C22×C4×C79—21no—
629C22×C4×C79—21no—
630C22×C4×C79C2411yescharacteristic
631C2×C8×C79C2411yescharacteristic
632C2×C8×C79C2411yescharacteristic
633C2×C8×C79C2411yescharacteristic
634C2×C8×C79C2411yescharacteristic
635C4⋊C4×C79—21no—
636C4⋊C4×C79—21no—
637C4⋊C4×C79—21no—
638C4⋊C4×C79—21no—
639C4⋊C4×C79—21no—
640C4⋊C4×C79—21no—
641C4⋊C4×C79—21no—
642C4⋊C4×C79—21no—
643C4⋊C4×C79—21no—
644C4⋊C4×C79C2×D411yescharacteristic
645C4⋊C4×C79C2×D411yescharacteristic
646C4⋊C4×C79C2411yescharacteristic
647C4⋊C4×C79C2411yescharacteristic
648C4⋊C4×C79C2411yescharacteristic
649C4⋊C4×C79C2411yescharacteristic
650C4⋊C4×C79C2411yescharacteristic
651C4⋊C4×C79C2411yescharacteristic
652C22⋊C4×C79—21no—
653C22⋊C4×C79—21no—
654C22⋊C4×C79—21no—
655C22⋊C4×C79—21no—
656C22⋊C4×C79—21no—
657C22⋊C4×C79C2×D411yescharacteristic
658C22⋊C4×C79C2×D411yescharacteristic
659C42×C79—21no—
660C42×C79C2411yescharacteristic
661C42×C79C2411yescharacteristic
662C23×C79—21no—
663C23×C79—21no—
664C23×C79C22×D411yescharacteristic
665C22×D79—21no—
666C22×D79—21no—
667C22×D79—24no—
668C22×D79—81no—
669C22×D79—81no—
670Q8×C79—81no—
671Q8×C79—81no—
672D4×C79—21no—
673D4×C79—21no—
674D4×C79—21no—
675D4×C79—21no—
676D4×C79—81no—
677D4×C79—81no—
678D4×C79—81no—
679D4×C79—81no—
680C2×C4×C79—21no—
681C2×C4×C79—21no—
682C2×C4×C79—21no—
683C2×C4×C79—21no—
684C2×C4×C79—21no—
685C2×C4×C79—21no—
686C2×C4×C79—21no—
687C2×C4×C79—21no—
688C2×C4×C79—81no—
689C2×C4×C79—81no—
690C2×C4×C79—81no—
691C2×C4×C79C22×D411yescharacteristic
692C2×C4×C79C22×D411yescharacteristic
693C2×C4×C79C22×D411yescharacteristic
694C2×C4×C79C22×D411yescharacteristic
695C2×C4×C79C22×D411yescharacteristic
696C2×C4×C79C2511yescharacteristic
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—41no—
704C2×Dic79—41no—
705C2×Dic79—81no—
706C2×Dic79—81no—
707C2×Dic79—81no—
708C2×Dic79—81no—
709C2×Dic79C22×D411yescharacteristic
710C2×Dic79C22×D411yescharacteristic
711C2×Dic79C22×D411yescharacteristic
712C2×Dic79C22×D411yescharacteristic
713C2×Dic79C22×D411yescharacteristic
714C2×Dic79C22×D411yescharacteristic
715C2×Dic79C22×D411yescharacteristic
716C2×Dic79C22×D411yescharacteristic
717D316—24no—
718D316—21no—
719D316—21no—
720D3162−1+412yes—
721D3162−1+412yes—
722C4×D79—42no—
723C4×D79—42no—
724C4×D79—81no—
725C4×D79—81no—
726C4×D79—81no—
727C4×D79—81no—
728C4×D79—81no—
729C4×D79—81no—
730C4×D79—81no—
731C4×D79—81no—
732C4×D79—81no—
733C4×D79—81no—
734Dic158—21no—
735Dic158—21no—
736Dic158—21no—
737Dic158—21no—
738Dic158—41no—
739Dic158—41no—
740Dic158—41no—
741Dic158—41no—
742Dic158—42no—
743Dic158—81no—
744Dic158—81no—
745Dic158—81no—
746Dic158—81no—
747Dic158—81no—
748C8×C79—21no—
749C8×C79—21no—
750C8×C79—21no—
751C8×C79—21no—
752C79⋊C8—21no—
753C79⋊C8—21no—
754C79⋊C8—21no—
755C79⋊C8—21no—
756C22×C79—21no—
757C22×C79—21no—
758C22×C79—21no—
759C22×C79—41no—
760C22×C79—41no—
761C22×C79—41no—
762C22×C79—41no—
763C22×C79—41no—
764C22×C79—41no—
765C22×C79C23×D411yescharacteristic
766C2×D79—22no—
767C2×D79—22no—
768C2×D79—41no—
769C2×D79—41no—
770C2×D79—41no—
771C2×D79—41no—
772C2×D79—84no—
773C4×C79—21no—
774C4×C79—21no—
775C4×C79—21no—
776C4×C79—21no—
777C4×C79—21no—
778C4×C79—41no—
779C4×C79—41no—
780C4×C79—41no—
781C4×C79—41no—
782C4×C79—41no—
783C4×C79—41no—
784C4×C79C2×2−1+411yescharacteristic
785C4×C79C2×2−1+411yescharacteristic
786Dic79—21no—
787Dic79—21no—
788Dic79—21no—
789Dic79—21no—
790Dic79—21no—
791Dic79—21no—
792Dic79—21no—
793Dic79—21no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79—41no—
798Dic79—41no—
799Dic79—41no—
800#61855—791nomaximal, Sylow
801C2×C79—41no—
802C2×C79—81no—
803C2×C79—81no—
804C2×C79#348611yescharacteristic
805C2×C79#358411yescharacteristic
806C2×C79#358511yescharacteristic
807D79—42no—
808D79—42no—
809#3557—791no—
810#3501—791no—
811#3389—791no—
812#3389—791no—
813#3388—791no—
814#3388—791no—
815#3386—791no—
816#3384—791no—
817#3381—791no—
818#3380—791no—
819#3376—791no—
820#3376—791no—
821#3373—791no—
822#3370—791no—
823#3370—791no—
824#3367—791no—
825#3361—791no—
826#3360—791no—
827#3244—791no—
828#3243—791no—
829#3242—791no—
830#3241D7911yescharacteristic, complemented
831#3240—791no—
832#3233—791no—
833#3123—791no—
834#3122—791no—
835#3118—791no—
836#3118—791no—
837#3114—791no—
838#3105—791no—
839#2985—791no—
840C79#6185511yescharacteristic, complemented, Sylow
841#563—1581no—
842#563—1581no—
843#559—791no—
844#559—791no—
845#557—791no—
846#557—791no—
847#556—791no—
848#556—791no—
849#554—791no—
850#554—791no—
851#554—791no—
852#554—791no—
853#554—791no—
854#554—791no—
855#554—791no—
856#554—791no—
857#554—1581no—
858#554—1581no—
859#554—1581no—
860#552—1581no—
861#552—1581no—
862D4×Q8—791no—
863D4×Q8—791no—
864D4×Q8—1581no—
865#544—791no—
866#544C2×D7911yescharacteristic
867#543—1581no—
868#543—1581no—
869#542—791no—
870#542—791no—
871#542—1581no—
872#542—1581no—
873#541—791no—
874#540C2×D7911yescharacteristic
875#539—1581no—
876#539—1581no—
877#533—791no—
878#533—791no—
879#529—791no—
880#529—791no—
881C2×C22⋊Q8—1581no—
882C2×C22⋊Q8—1581no—
883#518—791no—
884#518—791no—
885C2×C4×D4—791no—
886#501—791no—
887#501—791no—
888#501—791no—
889#501—791no—
890#501—791no—
891#501C2×D7911yescharacteristic, complemented
892#500—791no—
893#499—791no—
894#499—791no—
895#499—791no—
896#499C2×D7911yescharacteristic, complemented
897#498—791no—
898#491—791no—
899#490C2×D7911yescharacteristic, complemented
900#489—791no—
901#489—791no—
902#489—791no—
903#489—791no—
904#488—791no—
905#488—791no—
906#488—791no—
907#488—791no—
908#487—791no—
909#486C2×D7911yescharacteristic, complemented
910#485—791no—
911#485—791no—
912#485—791no—
913#485—791no—
914#484—791no—
915#483—791no—
916#482—791no—
917#482—791no—
918#482C2×D7911yescharacteristic
919#482C2×D7911yescharacteristic
920#481C2×D7911yescharacteristic
921#480C2×D7911yescharacteristic
922#479—791no—
923#479—791no—
924#479—791no—
925#479—791no—
926#479—791no—
927#479—791no—
928#478—791no—
929#478—791no—
930#478—791no—
931#478—791no—
932#478—791no—
933#478—791no—
934#478—791no—
935#478—791no—
936#478—791no—
937#478—791no—
938#478—791no—
939#478—791no—
940#478C2×D7911yescharacteristic, complemented
941#478C2×D7911yescharacteristic, complemented
942#477—791no—
943#477—791no—
944#477—791no—
945#476—791no—
946#476—791no—
947#476—791no—
948#476—791no—
949#476C2×D7911yescharacteristic, complemented
950#475—791no—
951#475—791no—
952#475—791no—
953#474—791no—
954#474—791no—
955#474—791no—
956#474—791no—
957#474C2×D7911yescharacteristic, complemented
958#463—791no—
959#463—791no—
960#463—791no—
961#463—791no—
962#463—791no—
963#463—791no—
964#463—791no—
965#463—791no—
966#461—791no—
967#461—791no—
968#459—791no—
969#459—791no—
970#450—791no—
971#450—791no—
972#447—791no—
973#447—791no—
974#446—791no—
975#446—791no—
976#446—791no—
977#446—791no—
978#446—791no—
979#446—791no—
980C8×Q8—791no—
981C8×Q8—791no—
982#442—791no—
983#442—791no—
984#442—791no—
985#442—791no—
986#442—791no—
987#442—791no—
988#440—791no—
989#440—791no—
990#440—791no—
991#440—791no—
992#440—791no—
993#440—791no—
994C4×SD16—791no—
995C4×SD16—791no—
996C4×SD16—791no—
997C4×SD16—791no—
998C4×SD16—791no—
999C4×SD16—791no—
1000C4×D8—791no—
1001C4×D8—791no—
1002C4×D8—791no—
1003C4×D8—791no—
1004C4×D8—791no—
1005C4×D8—791no—
1006#433—791no—
1007#433—791no—
1008#433—791no—
1009#433C2×D7911yescharacteristic
1010#432—791no—
1011#431—791no—
1012C22×Q8—1581no—
1013C22×Q8—1581no—
1014C22×D4—791no—
1015C23×C4—1581no—
1016C2×SD16—791no—
1017C2×SD16—791no—
1018C2×SD16—791no—
1019C2×SD16—791no—
1020C2×D8—791no—
1021C2×D8—791no—
1022C2×D8—791no—
1023C2×D8—791no—
1024C4⋊Q8—21no—
1025C4⋊Q8—791no—
1026C4⋊Q8—791no—
1027C4⋊Q8—791no—
1028C4⋊Q8—791no—
1029C4⋊Q8—791no—
1030C4⋊Q8—791no—
1031C4⋊Q8—791no—
1032C4⋊Q8—791no—
1033C4⋊Q8—791no—
1034C4⋊Q8—1581no—
1035C4⋊Q8—1581no—
1036C4⋊Q8—1581no—
1037C4⋊Q8C22×D7911yescharacteristic
1038C4⋊Q8C22×D7911yescharacteristic
1039#127C22×D7911yescharacteristic
1040#126—1581no—
1041#126—1581no—
1042#126—1581no—
1043#126—1581no—
1044#126—1581no—
1045#126—1581no—
1046#126—1581no—
1047#126—1581no—
1048#126—1581no—
1049#126—1581no—
1050#125—21no—
1051#125—791no—
1052#125—791no—
1053#125—791no—
1054#125—791no—
1055#125—791no—
1056#125—791no—
1057#125—791no—
1058#125—791no—
1059#125—791no—
1060#125—1581no—
1061#125—1581no—
1062#125—1581no—
1063#125—1581no—
1064#125—1581no—
1065#125—1581no—
1066#125—1581no—
1067#125C22×D7911yescharacteristic
1068#125C22×D7911yescharacteristic
1069#125C22×D7911yescharacteristic
1070#124—791no—
1071#124—791no—
1072#124—791no—
1073#124—791no—
1074#124—1581no—
1075#124—1581no—
1076#124—1581no—
1077#124—1581no—
1078#123—21no—
1079#123—21no—
1080#123—1581no—
1081#123—1581no—
1082#123—1581no—
1083#123—1581no—
1084#123—1581no—
1085#123—1581no—
1086#123—1581no—
1087#123—1581no—
1088C22⋊Q8—21no—
1089C22⋊Q8—21no—
1090C22⋊Q8—791no—
1091C22⋊Q8—791no—
1092C22⋊Q8—791no—
1093C22⋊Q8—791no—
1094C22⋊Q8—791no—
1095C22⋊Q8—791no—
1096C22⋊Q8—1581no—
1097C22⋊Q8—1581no—
1098C22⋊Q8—1581no—
1099C22⋊Q8—1581no—
1100C22⋊Q8—1581no—
1101C22⋊Q8—1581no—
1102C22⋊Q8—1581no—
1103C22⋊Q8—1581no—
1104C22⋊Q8—1581no—
1105C22⋊Q8—1581no—
1106C22⋊Q8—1581no—
1107C22⋊Q8—1581no—
1108C22⋊Q8—1581no—
1109C22⋊Q8—1581no—
1110C22⋊Q8—1581no—
1111C22⋊Q8—1581no—
1112C22⋊Q8—1581no—
1113C22⋊Q8—1581no—
1114C22⋊Q8—1581no—
1115C22⋊Q8—1581no—
1116C22⋊Q8—1581no—
1117C22⋊Q8—1581no—
1118C22⋊Q8—1581no—
1119C22⋊Q8—1581no—
1120C22⋊Q8—1581no—
1121C22⋊Q8—1581no—
1122C22⋊Q8—1581no—
1123C22⋊Q8—1581no—
1124C22⋊Q8—1581no—
1125C22⋊Q8—1581no—
1126C22⋊Q8—1581no—
1127C22⋊Q8—1581no—
1128C22⋊Q8—1581no—
1129C22⋊Q8—1581no—
1130C22⋊Q8—1581no—
1131C22⋊Q8—1581no—
1132C22⋊Q8—1581no—
1133C22⋊Q8—1581no—
1134#121—21no—
1135#121—21no—
1136#121C22×D7911yescharacteristic
1137#121C22×D7911yescharacteristic
1138C4×Q8—791no—
1139C4×Q8—791no—
1140C4×Q8—791no—
1141C4×Q8—791no—
1142C4×Q8—791no—
1143C4×Q8—791no—
1144C4×Q8—791no—
1145C4×Q8—791no—
1146C4×Q8—791no—
1147C4×Q8—791no—
1148C4×Q8—1581no—
1149C4×Q8—1581no—
1150C4×Q8—1581no—
1151C4×Q8—1581no—
1152C4×D4—791no—
1153C4×D4—791no—
1154C4×D4—791no—
1155C4×D4—791no—
1156C4×D4—791no—
1157C4×D4—791no—
1158C4×D4—791no—
1159C4×D4—791no—
1160C4×D4—791no—
1161C4×D4—791no—
1162C4×D4—791no—
1163C4×D4—791no—
1164C4×D4—791no—
1165C4×D4—791no—
1166C4×D4—791no—
1167C4×D4—791no—
1168C4×D4—1581no—
1169C4×D4—1581no—
1170C4×D4—1581no—
1171C4×D4—1581no—
1172C4×D4—1581no—
1173C4×D4—1581no—
1174C4×D4—1581no—
1175C4×D4—1581no—
1176C4×D4—1581no—
1177C4×D4—1581no—
1178C4×D4C22×D7911yescharacteristic
1179C4×D4C22×D7911yescharacteristic
1180#117—791no—
1181#117—791no—
1182#117—1581no—
1183#117—1581no—
1184#117—1581no—
1185#117—1581no—
1186#117C22×D7911yescharacteristic
1187#117C22×D7911yescharacteristic
1188C2×C4⋊C4—1581no—
1189C2×C4⋊C4—1581no—
1190C2×C4⋊C4—1581no—
1191C2×C4⋊C4—1581no—
1192C2×C4⋊C4—1581no—
1193C2×C4⋊C4—1581no—
1194C2×C4⋊C4—1581no—
1195C2×C4⋊C4—1581no—
1196C2×C4⋊C4C22×D7911yescharacteristic
1197C2×C22⋊C4—1581no—
1198C2×C22⋊C4—1581no—
1199C2×C22⋊C4—1581no—
1200C2×C22⋊C4—1581no—
1201C2×C22⋊C4—1581no—
1202C2×C42—791no—
1203#107—791no—
1204#107—791no—
1205#107—791no—
1206#107—791no—
1207#107—791no—
1208#107—791no—
1209#107—791no—
1210#107—791no—
1211#107C22×D7911yescharacteristic
1212#107C22×D7911yescharacteristic
1213#107C22×D7911yescharacteristic
1214#107C22×D7911yescharacteristic
1215#106—791no—
1216#106—791no—
1217#106—791no—
1218#106—791no—
1219#106—791no—
1220#106—791no—
1221#106—791no—
1222#106—791no—
1223#106C22×D7911yescharacteristic
1224#106C22×D7911yescharacteristic
1225#106C22×D7911yescharacteristic
1226#106C22×D7911yescharacteristic
1227C4⋊C8—791no—
1228C4⋊C8—791no—
1229C4⋊C8—791no—
1230C4⋊C8—791no—
1231C4⋊C8—791no—
1232C4⋊C8—791no—
1233C4⋊C8—791no—
1234C4⋊C8—791no—
1235C4⋊C8—791no—
1236C4⋊C8—791no—
1237C4⋊C8C22×D7911yescharacteristic
1238C4⋊C8C22×D7911yescharacteristic
1239#103—791no—
1240#103—791no—
1241#103—791no—
1242#103—791no—
1243#103—791no—
1244#103—791no—
1245#103—791no—
1246#103—791no—
1247#103—791no—
1248#103—791no—
1249#103—791no—
1250#103—791no—
1251#102—791no—
1252#102—791no—
1253#102—791no—
1254#102—791no—
1255#102—791no—
1256#102—791no—
1257#102—791no—
1258#102—791no—
1259#102—791no—
1260#102—791no—
1261#102—791no—
1262#102—791no—
1263#102C22×D7911yescharacteristic
1264#102C22×D7911yescharacteristic
1265#102C22×D7911yescharacteristic
1266#102C22×D7911yescharacteristic
1267#102C22×D7911yescharacteristic
1268#102C22×D7911yescharacteristic
1269#102C22×D7911yescharacteristic
1270#102C22×D7911yescharacteristic
1271C22⋊C8—791no—
1272C22⋊C8—791no—
1273C22⋊C8C22×D7911yescharacteristic
1274C22⋊C8C22×D7911yescharacteristic
1275#97—791no—
1276#97—791no—
1277#97—791no—
1278#97—791no—
1279#97—791no—
1280#97C22×D7911yescharacteristic
1281C4×C8—791no—
1282C4×C8—791no—
1283C4×C8—791no—
1284C4×C8—791no—
1285C4×C8—791no—
1286C4×C8C22×D7911yescharacteristic
1287C24—1581no—
1288C2×Q8—21no—
1289C2×Q8—21no—
1290C2×Q8—791no—
1291C2×Q8—791no—
1292C2×Q8—791no—
1293C2×Q8—791no—
1294C2×Q8—791no—
1295C2×Q8—791no—
1296C2×Q8—6322no—
1297C2×Q8—6322no—
1298C2×Q8—1581no—
1299C2×Q8—1581no—
1300C2×Q8—1581no—
1301C2×Q8—1581no—
1302C2×Q8—1581no—
1303C2×Q8—1581no—
1304C2×D4—21no—
1305C2×D4—21no—
1306C2×D4—21no—
1307C2×D4—21no—
1308C2×D4—791no—
1309C2×D4—791no—
1310C2×D4—1582no—
1311C2×D4—1582no—
1312C2×D4—1581no—
1313C2×D4C23×D7911yescharacteristic
1314C2×D4C23×D7911yescharacteristic
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—791no—
1319C22×C4—791no—
1320C22×C4—6322no—
1321C22×C4—1581no—
1322C22×C4—1581no—
1323C22×C4—1581no—
1324C22×C4—1581no—
1325C22×C4—1581no—
1326C22×C4—1581no—
1327C22×C4—1581no—
1328C22×C4—1581no—
1329C22×C4—1581no—
1330C22×C4—1581no—
1331C22×C4—1581no—
1332C22×C4—1581no—
1333C22×C4—1581no—
1334C22×C4—1581no—
1335C22×C4—1581no—
1336C22×C4—1581no—
1337C22×C4C23×D7911yescharacteristic
1338SD16—1582no—
1339SD16—1582no—
1340SD16—1582no—
1341SD16—1582no—
1342D8—1582no—
1343D8—1582no—
1344D8—1582no—
1345D8—1582no—
1346C2×C8—791no—
1347C2×C8—791no—
1348C2×C8—791no—
1349C2×C8—791no—
1350C2×C8C23×D7911yescharacteristic
1351C2×C8C23×D7911yescharacteristic
1352C2×C8C23×D7911yescharacteristic
1353C2×C8C23×D7911yescharacteristic
1354C4⋊C4—21no—
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—791no—
1364C4⋊C4—791no—
1365C4⋊C4—791no—
1366C4⋊C4—791no—
1367C4⋊C4—791no—
1368C4⋊C4—791no—
1369C4⋊C4—791no—
1370C4⋊C4—791no—
1371C4⋊C4—791no—
1372C4⋊C4—791no—
1373C4⋊C4—791no—
1374C4⋊C4—791no—
1375C4⋊C4—791no—
1376C4⋊C4—791no—
1377C4⋊C4—791no—
1378C4⋊C4—791no—
1379C4⋊C4—791no—
1380C4⋊C4—791no—
1381C4⋊C4—1581no—
1382C4⋊C4—1581no—
1383C4⋊C4—1581no—
1384C4⋊C4—1581no—
1385C4⋊C4—1581no—
1386C4⋊C4—1581no—
1387C4⋊C4—1581no—
1388C4⋊C4—1581no—
1389C4⋊C4—1581no—
1390C4⋊C4—1581no—
1391C4⋊C4—1581no—
1392C4⋊C4—1581no—
1393C4⋊C4—1581no—
1394C4⋊C4—1581no—
1395C4⋊C4—1581no—
1396C4⋊C4—1581no—
1397C4⋊C4—1581no—
1398C4⋊C4—1581no—
1399C4⋊C4—1581no—
1400C4⋊C4—1581no—
1401C4⋊C4—1581no—
1402C4⋊C4—1581no—
1403C4⋊C4—1581no—
1404C4⋊C4—1581no—
1405C4⋊C4—1581no—
1406C4⋊C4—1581no—
1407C4⋊C4—1581no—
1408C4⋊C4—1581no—
1409C4⋊C4—1581no—
1410C4⋊C4—1581no—
1411C4⋊C4D4×D7911yescharacteristic
1412C4⋊C4D4×D7911yescharacteristic
1413C4⋊C4C23×D7911yescharacteristic
1414C4⋊C4C23×D7911yescharacteristic
1415C4⋊C4C23×D7911yescharacteristic
1416C4⋊C4C23×D7911yescharacteristic
1417C4⋊C4C23×D7911yescharacteristic
1418C4⋊C4C23×D7911yescharacteristic
1419C22⋊C4—21no—
1420C22⋊C4—21no—
1421C22⋊C4—21no—
1422C22⋊C4—21no—
1423C22⋊C4—21no—
1424C22⋊C4—791no—
1425C22⋊C4—791no—
1426C22⋊C4—1581no—
1427C22⋊C4—1581no—
1428C22⋊C4—1581no—
1429C22⋊C4—1581no—
1430C22⋊C4—1581no—
1431C22⋊C4—1581no—
1432C22⋊C4—1581no—
1433C22⋊C4—1581no—
1434C22⋊C4—1581no—
1435C22⋊C4—1581no—
1436C22⋊C4—1581no—
1437C22⋊C4—1581no—
1438C22⋊C4—1581no—
1439C22⋊C4—1581no—
1440C22⋊C4—1581no—
1441C22⋊C4—1581no—
1442C22⋊C4—1581no—
1443C22⋊C4—1581no—
1444C22⋊C4—1581no—
1445C22⋊C4—1581no—
1446C22⋊C4—1581no—
1447C22⋊C4—1581no—
1448C22⋊C4—1581no—
1449C22⋊C4—1581no—
1450C22⋊C4—1581no—
1451C22⋊C4—1581no—
1452C22⋊C4—1581no—
1453C22⋊C4D4×D7911yescharacteristic
1454C22⋊C4D4×D7911yescharacteristic
1455C42—21no—
1456C42—791no—
1457C42—791no—
1458C42—791no—
1459C42—791no—
1460C42—791no—
1461C42—791no—
1462C42—1581no—
1463C42—1581no—
1464C42—1581no—
1465C42—1581no—
1466C42—1581no—
1467C42—1581no—
1468C42—1581no—
1469C42C23×D7911yescharacteristic
1470C42C23×D7911yescharacteristic
1471C23—21no—
1472C23—21no—
1473C23—6321no—
1474C23—6321no—
1475C23—1584no—
1476C23—1581no—
1477C23—1581no—
1478C23C2×D4×D7911yescharacteristic
1479Q8—81no—
1480Q8—81no—
1481Q8—3161no—
1482Q8—3161no—
1483Q8—3161no—
1484Q8—3161no—
1485Q8—3162no—
1486Q8—6321no—
1487Q8—6321no—
1488Q8—6321no—
1489Q8—6321no—
1490Q8—6321no—
1491Q8—1581no—
1492Q8—1581no—
1493Q8—1581no—
1494Q8—1581no—
1495D4—21no—
1496D4—21no—
1497D4—21no—
1498D4—21no—
1499D4—81no—
1500D4—81no—
1501D4—81no—
1502D4—81no—
1503D4—792no—
1504D4—792no—
1505D4—1584no—
1506D4—1581no—
1507D4—1581no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—81no—
1517C2×C4—81no—
1518C2×C4—81no—
1519C2×C4—3162no—
1520C2×C4—3162no—
1521C2×C4—3161no—
1522C2×C4—3161no—
1523C2×C4—791no—
1524C2×C4—791no—
1525C2×C4—791no—
1526C2×C4—791no—
1527C2×C4—791no—
1528C2×C4—791no—
1529C2×C4—791no—
1530C2×C4—791no—
1531C2×C4—6321no—
1532C2×C4—6321no—
1533C2×C4—6321no—
1534C2×C4—6321no—
1535C2×C4—6321no—
1536C2×C4—6321no—
1537C2×C4—6321no—
1538C2×C4—6321no—
1539C2×C4—6321no—
1540C2×C4—6321no—
1541C2×C4—6321no—
1542C2×C4—6321no—
1543C2×C4—6321no—
1544C2×C4—6321no—
1545C2×C4—1581no—
1546C2×C4—1581no—
1547C2×C4—1581no—
1548C2×C4—1581no—
1549C2×C4—1581no—
1550C2×C4—1581no—
1551C2×C4C2×D4×D7911yescharacteristic
1552C2×C4C2×D4×D7911yescharacteristic
1553C2×C4C2×D4×D7911yescharacteristic
1554C2×C4C2×D4×D7911yescharacteristic
1555C2×C4C2×D4×D7911yescharacteristic
1556C2×C4C24×D7911yescharacteristic
1557C8—21no—
1558C8—21no—
1559C8—21no—
1560C8—21no—
1561C8—1581no—
1562C8—1581no—
1563C8—1581no—
1564C8—1581no—
1565C22—21no—
1566C22—21no—
1567C22—21no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—3161no—
1575C22—3161no—
1576C22—3161no—
1577C22—3161no—
1578C22—6324no—
1579C22—1582no—
1580C22—1582no—
1581C22C22×D4×D7911yescharacteristic
1582C4—21no—
1583C4—21no—
1584C4—21no—
1585C4—21no—
1586C4—21no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—3161no—
1594C4—3161no—
1595C4—3161no—
1596C4—3161no—
1597C4—3161no—
1598C4—3161no—
1599C4—1581no—
1600C4—1581no—
1601C4—1581no—
1602C4—1581no—
1603C4—1581no—
1604C4—1581no—
1605C4—1581no—
1606C4—1581no—
1607C42−1+4×D7911yescharacteristic
1608C42−1+4×D7911yescharacteristic
1609C2—41no—
1610C2—81no—
1611C2—81no—
1612C2—3162no—
1613C2—3162no—
1614C2#2377704911yescharacteristic
1615C2#2377817211yescharacteristic
1616C2#2377817511yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3241C2
socleC22×C79C23×D4
prime radical#23773638C2
hypercenter#3241D79
hypocenterC79#61855
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #117 ◁ #3241

Complements

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

NH ≅ G/Ntype
1. #23777905C2semidirect
2. #23777202C2semidirect
3. #23776358C2semidirect
4. #23776353C2semidirect
5. #23776351C2semidirect
6. #23776344C2semidirect
7. #23776318C2semidirect
8. #23776294C2semidirect
9. #23776272C2semidirect
10. #23776262C2semidirect
11. #23776230C2semidirect
12. #23776230C2semidirect
13. #23776197C2semidirect
14. #23776148C2semidirect
15. #23776148C2semidirect
16. #23776117C2semidirect
17. #23776065C2semidirect
18. #23776048C2semidirect
19. #23774694C2semidirect
20. #23774679C2semidirect
21. #23774668C2semidirect
22. #23774638C2semidirect
23. #23774576C2semidirect
24. #23773653C2semidirect
26. #23773579C2semidirect
27. #23773579C2semidirect
28. #23773535C2semidirect
29. #23773444C2semidirect
30. #23772492C2semidirect
31. C79×#3241C2semidirect
34. #19099299C22semidirect
35. #19099299C22semidirect
36. #19099290C22semidirect
37. #19099290C22semidirect
38. #19099283C22semidirect
39. #19099283C22semidirect
43. #19099272C22semidirect
44. #19099272C22semidirect
75. #19098971C22semidirect
76. #19098971C22semidirect
77. #19098970C22semidirect
78. #19098970C22semidirect
79. #19098969C22semidirect
80. #19098967C22semidirect
81. #19098964C22semidirect
82. #19098963C22semidirect
83. #19098962C22semidirect
84. #19098960C22semidirect
85. #19098933C22semidirect
86. #19098921C22semidirect
87. #19098921C22semidirect
88. #19098921C22semidirect
89. #19098921C22semidirect
90. #19098916C22semidirect
91. #19098916C22semidirect
92. #19098916C22semidirect
93. #19098916C22semidirect
94. #19098915C22semidirect
103. #19098873C22semidirect
104. #19098873C22semidirect
105. #19098869C22semidirect
106. #19098869C22semidirect
107. #19098867C22semidirect
108. #19098867C22semidirect
111. #19098865C22semidirect
112. #19098865C22semidirect
117. #19098861C22semidirect
118. #19098861C22semidirect
121. #19098857C22semidirect
122. #19098857C22semidirect
123. #19098855C22semidirect
126. #19098851C22semidirect
127. #19098851C22semidirect
128. #19098847C22semidirect
129. #19098847C22semidirect
130. #19098845C22semidirect
133. #19098841C22semidirect
134. #19098841C22semidirect
151. #19098693C22semidirect
152. #19098692C22semidirect
153. #19098692C22semidirect
154. #19098691C22semidirect
155. #19098691C22semidirect
156. #19098690C22semidirect
157. C8×Dic158C22semidirect
158. #19098687C22semidirect
190. #501×C79C22semidirect
191. #499×C79C22semidirect
192. #490×C79C22semidirect
193. #486×C79C22semidirect
198. #478×C79C22semidirect
199. #478×C79C22semidirect
200. #476×C79C22semidirect
201. #474×C79C22semidirect
830. #3241D79semidirect
840. C79#61855semidirect
891. #501C2×D79semidirect
896. #499C2×D79semidirect
899. #490C2×D79semidirect
909. #486C2×D79semidirect
940. #478C2×D79semidirect
941. #478C2×D79semidirect
949. #476C2×D79semidirect
957. #474C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779052
#237772022
#237763582
#237763532
#237763512
#237763442
#237763182
#237762942
#237762722
#237762622
#237762302
#237761972
#237761482
#237761172
#237760652
#237760482
#237746942
#237746792
#237746682
#237746382
#237745762
#237736532
#237736382
#237735792
#237735352
#237734442
#237724922
C79×#32412
#6185579