Finite Group Databasebeta

← C89×#62162 #36440010

Subgroups — C89×#62162 #36440010

Order 22784.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3565C211yesmaximal, characteristic, complemented
2C89×#3517C211yesmaximal, characteristic, complemented
3C89×#3390C211yesmaximal, characteristic, complemented
4C89×#3388C211yesmaximal, characteristic, complemented
5C89×#3368C211yesmaximal, characteristic, complemented
6C89×#3366C211yesmaximal, characteristic, complemented
7C89×#3350C211yesmaximal, characteristic, complemented
8C89×#3347C211yesmaximal, characteristic, complemented
9C89×#3345C211yesmaximal, characteristic, complemented
10C89×#3343C211yesmaximal, characteristic, complemented
11C89×#3339C211yesmaximal, characteristic, complemented
12C89×#3337C211yesmaximal, characteristic, complemented
13C89×#3317C211yesmaximal, characteristic, complemented
14C89×#3317C211yesmaximal, characteristic, complemented
15C89×#3309C211yesmaximal, characteristic, complemented
16C89×#3309C211yesmaximal, characteristic, complemented
17C89×#3305C211yesmaximal, characteristic, complemented
18C89×#3304C211yesmaximal, characteristic, complemented
19C89×#3257C211yesmaximal, characteristic, complemented
20C89×#3257C211yesmaximal, characteristic, complemented
21C89×#3247C211yesmaximal, characteristic, complemented
22C89×#3241C211yesmaximal, characteristic, complemented
23C89×#3241C211yesmaximal, characteristic, complemented
24C89×#3235C211yesmaximal, characteristic, complemented
25C89×#3125C211yesmaximal, characteristic, complemented
26C89×#3124C211yesmaximal, characteristic, complemented
27C89×#3111C211yesmaximal, characteristic, complemented
28C89×#3084C211yesmaximal, characteristic, complemented
29C89×#3083C211yesmaximal, characteristic, complemented
30C89×#3076C211yesmaximal, characteristic, complemented
31C89×#2992C211yesmaximal, characteristic, complemented
32#563×C89—21no—
33#562×C89—21no—
34#557×C89C2211yescharacteristic
35#557×C89C2211yescharacteristic
36#556×C89—21no—
37#556×C89C2211yescharacteristic
38#555×C89C2211yescharacteristic
39#554×C89C2211yescharacteristic
40#553×C89—21no—
41#553×C89—21no—
42#553×C89C2211yescharacteristic
43#553×C89C2211yescharacteristic
44#553×C89C2211yescharacteristic
45#553×C89C2211yescharacteristic
46#552×C89—21no—
47#552×C89C2211yescharacteristic
48#552×C89C2211yescharacteristic
49#550×C89—21no—
50#550×C89C2211yescharacteristic
51#550×C89C2211yescharacteristic
52#550×C89C2211yescharacteristic
53#550×C89C2211yescharacteristic
54#547×C89—21no—
55#547×C89C2211yescharacteristic
56#544×C89C2211yescharacteristic
57#544×C89C2211yescharacteristic
58#542×C89—21no—
59#542×C89—21no—
60#542×C89C2211yescharacteristic
61#542×C89C2211yescharacteristic
62#541×C89—21no—
63#540×C89—21no—
64#540×C89—21no—
65#540×C89C2211yescharacteristic
66#540×C89C2211yescharacteristic
67#539×C89—21no—
68#533×C89C2211yescharacteristic
69#532×C89—21no—
70#532×C89C2211yescharacteristic
71#529×C89—21no—
72#529×C89C2211yescharacteristic
73#529×C89C2211yescharacteristic
74#520×C89C2211yescharacteristic
75#520×C89C2211yescharacteristic
76C4×#41×C89C2211yescharacteristic
77#501×C89C2211yescharacteristic
78#501×C89C2211yescharacteristic
79#501×C89C2211yescharacteristic
80#501×C89C2211yescharacteristic
81#499×C89C2211yescharacteristic
82#499×C89C2211yescharacteristic
83#490×C89C2211yescharacteristic
84#490×C89C2211yescharacteristic
85#490×C89C2211yescharacteristic
86#490×C89C2211yescharacteristic
87#486×C89C2211yescharacteristic
88#486×C89C2211yescharacteristic
89#485×C89C2211yescharacteristic
90#484×C89C2211yescharacteristic
91#483×C89C2211yescharacteristic
92#482×C89C2211yescharacteristic
93#482×C89C2211yescharacteristic
94#482×C89C2211yescharacteristic
95#482×C89C2211yescharacteristic
96#482×C89C2211yescharacteristic
97#482×C89C2211yescharacteristic
98#482×C89C2211yescharacteristic
99#482×C89C2211yescharacteristic
100#482×C89C2211yescharacteristic
101#481×C89C2211yescharacteristic
102#481×C89C2211yescharacteristic
103#481×C89C2211yescharacteristic
104#480×C89C2211yescharacteristic
105#480×C89C2211yescharacteristic
106#480×C89C2211yescharacteristic
107#479×C89C2211yescharacteristic
108#479×C89C2211yescharacteristic
109#479×C89C2211yescharacteristic
110#479×C89C2211yescharacteristic
111#479×C89C2211yescharacteristic
112#479×C89C2211yescharacteristic
113#479×C89C2211yescharacteristic
114#478×C89C2211yescharacteristic
115#478×C89C2211yescharacteristic
116#478×C89C2211yescharacteristic
117#478×C89C2211yescharacteristic
118#478×C89C2211yescharacteristic
119#478×C89C2211yescharacteristic
120#478×C89C2211yescharacteristic
121#478×C89C2211yescharacteristic
122#478×C89C2211yescharacteristic
123#477×C89C2211yescharacteristic
124#477×C89C2211yescharacteristic
125#477×C89C2211yescharacteristic
126#476×C89C2211yescharacteristic
127#476×C89C2211yescharacteristic
128#476×C89C2211yescharacteristic
129#476×C89C2211yescharacteristic
130#476×C89C2211yescharacteristic
131#475×C89C2211yescharacteristic
132#475×C89C2211yescharacteristic
133#474×C89C2211yescharacteristic
134#474×C89C2211yescharacteristic
135#474×C89C2211yescharacteristic
136#474×C89C2211yescharacteristic
137#469×C89C2211yescharacteristic
138#469×C89C2211yescharacteristic
139#468×C89C2211yescharacteristic
140#468×C89C2211yescharacteristic
141#466×C89C2211yescharacteristic
142#466×C89C2211yescharacteristic
143#466×C89C2211yescharacteristic
144#466×C89C2211yescharacteristic
145#465×C89C2211yescharacteristic
146#465×C89C2211yescharacteristic
147#465×C89C2211yescharacteristic
148#465×C89C2211yescharacteristic
149#464×C89C2211yescharacteristic
150#463×C89C2211yescharacteristic
151#463×C89C2211yescharacteristic
152#463×C89C2211yescharacteristic
153#460×C89C2211yescharacteristic
154#460×C89C2211yescharacteristic
155#460×C89C2211yescharacteristic
156#459×C89C2211yescharacteristic
157#459×C89C2211yescharacteristic
158#459×C89C2211yescharacteristic
159#452×C89C2211yescharacteristic
160#452×C89C2211yescharacteristic
161#452×C89C2211yescharacteristic
162#449×C89C2211yescharacteristic
163#449×C89C2211yescharacteristic
164#449×C89C2211yescharacteristic
165#446×C89C2211yescharacteristic
166#446×C89C2211yescharacteristic
167#442×C89C2211yescharacteristic
168#442×C89C2211yescharacteristic
169#441×C89C2211yescharacteristic
170#441×C89C2211yescharacteristic
171#440×C89C2211yescharacteristic
172#440×C89C2211yescharacteristic
173#440×C89C2211yescharacteristic
174#440×C89C2211yescharacteristic
175C4×Q16×C89C2211yescharacteristic
176C4×SD16×C89C2211yescharacteristic
177C4×SD16×C89C2211yescharacteristic
178C4×D8×C89C2211yescharacteristic
179#435×C89C2211yescharacteristic
180#435×C89C2211yescharacteristic
181#435×C89C2211yescharacteristic
182#435×C89C2211yescharacteristic
183C8×D4×C89C2211yescharacteristic
184C8×D4×C89C2211yescharacteristic
185#433×C89C2211yescharacteristic
186#433×C89C2211yescharacteristic
187#432×C89C2211yescharacteristic
188#428×C89C2211yescharacteristic
189#428×C89C2211yescharacteristic
190#427×C89C2211yescharacteristic
191#427×C89C2211yescharacteristic
192C2×#107×C89C2211yescharacteristic
193C2×#106×C89C2211yescharacteristic
194#424×C89C2211yescharacteristic
195#424×C89C2211yescharacteristic
196C2×C4⋊C8×C89C2211yescharacteristic
197#417×C89C2211yescharacteristic
198#417×C89C2211yescharacteristic
199#416×C89C2211yescharacteristic
200#416×C89C2211yescharacteristic
201#416×C89C2211yescharacteristic
202#416×C89C2211yescharacteristic
203C2×#41×C89—21no—
204C2×#41×C89—21no—
205C2×#41×C89—21no—
206C2×#41×C89C2311yescharacteristic
207C2×#41×C89C2311yescharacteristic
208C2×#41×C89C2311yescharacteristic
209C2×Q16×C89C2311yescharacteristic
210C2×SD16×C89C2311yescharacteristic
211C2×SD16×C89C2311yescharacteristic
212C2×SD16×C89C2311yescharacteristic
213C2×SD16×C89C2311yescharacteristic
214C2×D8×C89C2311yescharacteristic
215C2×D8×C89C2311yescharacteristic
216C2×D8×C89C2311yescharacteristic
217C2×M16×C89C2311yescharacteristic
218C2×M16×C89C2311yescharacteristic
219C22×C8×C89C2311yescharacteristic
220C22×C8×C89C2311yescharacteristic
221C22×C8×C89C2311yescharacteristic
222C22×C8×C89C2311yescharacteristic
223C4⋊Q8×C89—21no—
224C4⋊Q8×C89—21no—
225C4⋊Q8×C89—21no—
226C4⋊Q8×C89—21no—
227C4⋊Q8×C89C2311yescharacteristic
228C4⋊Q8×C89C2311yescharacteristic
229C4⋊Q8×C89C2311yescharacteristic
230C4⋊Q8×C89C2311yescharacteristic
231C4⋊Q8×C89C2311yescharacteristic
232#127×C89—21no—
233#127×C89—21no—
234#127×C89—21no—
235#127×C89C2311yescharacteristic
236#127×C89C2311yescharacteristic
237#127×C89C2311yescharacteristic
238#126×C89—21no—
239#126×C89—21no—
240#126×C89—21no—
241#126×C89—21no—
242#126×C89—21no—
243#126×C89—21no—
244#126×C89—21no—
245#126×C89—21no—
246#126×C89—21no—
247#126×C89—21no—
248#126×C89—21no—
249#126×C89D411yescharacteristic
250#126×C89D411yescharacteristic
251#125×C89—21no—
252#125×C89—21no—
253#125×C89—21no—
254#125×C89—21no—
255#125×C89—21no—
256#125×C89—21no—
257#125×C89—21no—
258#125×C89—21no—
259#125×C89D411yescharacteristic
260#125×C89C2311yescharacteristic
261#125×C89C2311yescharacteristic
262#125×C89C2311yescharacteristic
263#125×C89C2311yescharacteristic
264#125×C89C2311yescharacteristic
265#125×C89C2311yescharacteristic
266#125×C89C2311yescharacteristic
267#124×C89—21no—
268#124×C89—21no—
269#124×C89—21no—
270#124×C89—21no—
271#124×C89—21no—
272#124×C89—21no—
273#124×C89D411yescharacteristic
274#124×C89C2311yescharacteristic
275#123×C89—21no—
276#123×C89—21no—
277#123×C89—21no—
278#123×C89—21no—
279#123×C89—21no—
280#123×C89—21no—
281#123×C89—21no—
282#123×C89—21no—
283#123×C89—21no—
284#123×C89—21no—
285#123×C89—21no—
286#123×C89—21no—
287#123×C89—21no—
288#123×C89—21no—
289#123×C89—21no—
290#123×C89D411yescharacteristic
291#123×C89D411yescharacteristic
292C22⋊Q8×C89—21no—
293C22⋊Q8×C89—21no—
294C22⋊Q8×C89—21no—
295C22⋊Q8×C89—21no—
296C22⋊Q8×C89—21no—
297C22⋊Q8×C89—21no—
298C22⋊Q8×C89—21no—
299C22⋊Q8×C89—21no—
300C22⋊Q8×C89—21no—
301C22⋊Q8×C89—21no—
302C22⋊Q8×C89—21no—
303C22⋊Q8×C89—21no—
304C22⋊Q8×C89D411yescharacteristic
305C22⋊Q8×C89C2311yescharacteristic
306C22⋊Q8×C89C2311yescharacteristic
307C22⋊Q8×C89C2311yescharacteristic
308#121×C89—21no—
309#121×C89—21no—
310#121×C89—21no—
311#121×C89—21no—
312#121×C89—21no—
313#121×C89—21no—
314#121×C89—21no—
315#121×C89—21no—
316#121×C89—21no—
317#121×C89—21no—
318#121×C89—21no—
319#121×C89—21no—
320#121×C89—21no—
321#121×C89—21no—
322#121×C89—21no—
323#121×C89—21no—
324#121×C89—21no—
325#121×C89—21no—
326#121×C89—21no—
327#121×C89D411yescharacteristic
328#121×C89C2311yescharacteristic
329#121×C89C2311yescharacteristic
330#121×C89C2311yescharacteristic
331#121×C89C2311yescharacteristic
332#121×C89C2311yescharacteristic
333#121×C89C2311yescharacteristic
334#121×C89C2311yescharacteristic
335#121×C89C2311yescharacteristic
336#121×C89C2311yescharacteristic
337C4×Q8×C89—21no—
338C4×Q8×C89—21no—
339C4×Q8×C89—21no—
340C4×Q8×C89—21no—
341C4×Q8×C89—21no—
342C4×Q8×C89C2311yescharacteristic
343C4×Q8×C89C2311yescharacteristic
344C4×Q8×C89C2311yescharacteristic
345C4×Q8×C89C2311yescharacteristic
346C4×Q8×C89C2311yescharacteristic
347C4×Q8×C89C2311yescharacteristic
348C4×Q8×C89C2311yescharacteristic
349C4×Q8×C89C2311yescharacteristic
350C4×D4×C89—21no—
351C4×D4×C89—21no—
352C4×D4×C89—21no—
353C4×D4×C89—21no—
354C4×D4×C89—21no—
355C4×D4×C89—21no—
356C4×D4×C89—21no—
357C4×D4×C89—21no—
358C4×D4×C89—21no—
359C4×D4×C89—21no—
360C4×D4×C89—21no—
361C4×D4×C89—21no—
362C4×D4×C89—21no—
363C4×D4×C89—21no—
364C4×D4×C89—21no—
365C4×D4×C89C2311yescharacteristic
366C4×D4×C89C2311yescharacteristic
367C4×D4×C89C2311yescharacteristic
368C4×D4×C89C2311yescharacteristic
369C4×D4×C89C2311yescharacteristic
370C4×D4×C89C2311yescharacteristic
371C4×D4×C89C2311yescharacteristic
372C4×D4×C89C2311yescharacteristic
373C4×D4×C89C2311yescharacteristic
374C4×D4×C89C2311yescharacteristic
375C4×D4×C89C2311yescharacteristic
376C4×D4×C89C2311yescharacteristic
377#117×C89—21no—
378#117×C89—21no—
379#117×C89—21no—
380#117×C89—21no—
381#117×C89—21no—
382#117×C89—21no—
383#117×C89—21no—
384#117×C89C2311yescharacteristic
385#117×C89C2311yescharacteristic
386#117×C89C2311yescharacteristic
387#117×C89C2311yescharacteristic
388#117×C89C2311yescharacteristic
389#117×C89C2311yescharacteristic
390#117×C89C2311yescharacteristic
391C2×C4⋊C4×C89—21no—
392C2×C4⋊C4×C89—21no—
393C2×C4⋊C4×C89—21no—
394C2×C4⋊C4×C89C2311yescharacteristic
395C2×C4⋊C4×C89C2311yescharacteristic
396C2×C4⋊C4×C89C2311yescharacteristic
397C2×C4⋊C4×C89C2311yescharacteristic
398C2×C42×C89—21no—
399C2×C42×C89C2311yescharacteristic
400#107×C89C2311yescharacteristic
401#107×C89C2311yescharacteristic
402#107×C89C2311yescharacteristic
403#107×C89C2311yescharacteristic
404#107×C89C2311yescharacteristic
405#107×C89C2311yescharacteristic
406#107×C89C2311yescharacteristic
407#107×C89C2311yescharacteristic
408#107×C89C2311yescharacteristic
409#107×C89C2311yescharacteristic
410#107×C89C2311yescharacteristic
411#107×C89C2311yescharacteristic
412#106×C89C2311yescharacteristic
413#106×C89C2311yescharacteristic
414#106×C89C2311yescharacteristic
415#106×C89C2311yescharacteristic
416#106×C89C2311yescharacteristic
417#106×C89C2311yescharacteristic
418#106×C89C2311yescharacteristic
419#106×C89C2311yescharacteristic
420#106×C89C2311yescharacteristic
421#106×C89C2311yescharacteristic
422#106×C89C2311yescharacteristic
423#106×C89C2311yescharacteristic
424C4⋊C8×C89C2311yescharacteristic
425C4⋊C8×C89C2311yescharacteristic
426C4⋊C8×C89C2311yescharacteristic
427C4⋊C8×C89C2311yescharacteristic
428C4⋊C8×C89C2311yescharacteristic
429C4⋊C8×C89C2311yescharacteristic
430C4⋊C8×C89C2311yescharacteristic
431C4⋊C8×C89C2311yescharacteristic
432C4⋊C8×C89C2311yescharacteristic
433C4⋊C8×C89C2311yescharacteristic
434#103×C89C2311yescharacteristic
435#103×C89C2311yescharacteristic
436#103×C89C2311yescharacteristic
437#103×C89C2311yescharacteristic
438#103×C89C2311yescharacteristic
439#103×C89C2311yescharacteristic
440#103×C89C2311yescharacteristic
441#103×C89C2311yescharacteristic
442#103×C89C2311yescharacteristic
443#103×C89C2311yescharacteristic
444#102×C89C2311yescharacteristic
445#102×C89C2311yescharacteristic
446#102×C89C2311yescharacteristic
447#102×C89C2311yescharacteristic
448#102×C89C2311yescharacteristic
449#102×C89C2311yescharacteristic
450#102×C89C2311yescharacteristic
451#102×C89C2311yescharacteristic
452#102×C89C2311yescharacteristic
453#102×C89C2311yescharacteristic
454#102×C89C2311yescharacteristic
455#102×C89C2311yescharacteristic
456#102×C89C2311yescharacteristic
457#102×C89C2311yescharacteristic
458#102×C89C2311yescharacteristic
459#102×C89C2311yescharacteristic
460#102×C89C2311yescharacteristic
461#102×C89C2311yescharacteristic
462#102×C89C2311yescharacteristic
463#102×C89C2311yescharacteristic
464#102×C89C2311yescharacteristic
465#102×C89C2311yescharacteristic
466C22⋊C8×C89C2311yescharacteristic
467C22⋊C8×C89C2311yescharacteristic
468C22⋊C8×C89C2311yescharacteristic
469C22⋊C8×C89C2311yescharacteristic
470C22⋊C8×C89C2311yescharacteristic
471C22⋊C8×C89C2311yescharacteristic
472#97×C89C2311yescharacteristic
473#97×C89C2311yescharacteristic
474#97×C89C2311yescharacteristic
475#97×C89C2311yescharacteristic
476C4×C8×C89C2311yescharacteristic
477C4×C8×C89C2311yescharacteristic
478#41×C89—22no—
479#41×C89—22no—
480#41×C89—22no—
481#41×C89—41no—
482#41×C89—41no—
483#41×C89—41no—
484#41×C89—82no—
485#41×C89—82no—
486#41×C89—82no—
487C2×Q8×C89—21no—
488C2×Q8×C89—21no—
489C2×Q8×C89—21no—
490C2×Q8×C89—21no—
491C2×Q8×C89—21no—
492C2×Q8×C89C2×D411yescharacteristic
493C2×Q8×C89C2411yescharacteristic
494C2×Q8×C89C2411yescharacteristic
495C2×D4×C89—21no—
496C2×D4×C89—21no—
497C2×D4×C89—21no—
498C2×D4×C89—21no—
499C2×D4×C89—21no—
500C2×D4×C89—21no—
501C2×D4×C89—21no—
502C2×D4×C89—21no—
503C2×D4×C89—21no—
504C2×D4×C89—21no—
505C2×D4×C89—21no—
506C2×D4×C89—21no—
507C2×D4×C89—21no—
508C2×D4×C89—21no—
509C2×D4×C89—21no—
510C2×D4×C89—21no—
511C2×D4×C89—21no—
512C2×D4×C89—21no—
513C2×D4×C89C2×D411yescharacteristic
514C2×D4×C89C2×D411yescharacteristic
515C2×D4×C89C2×D411yescharacteristic
516C2×D4×C89C2411yescharacteristic
517C2×D4×C89C2411yescharacteristic
518C2×D4×C89C2411yescharacteristic
519C2×D4×C89C2411yescharacteristic
520C22×C4×C89—21no—
521C22×C4×C89—21no—
522C22×C4×C89—21no—
523C22×C4×C89—21no—
524C22×C4×C89—21no—
525C22×C4×C89—21no—
526C22×C4×C89—21no—
527C22×C4×C89—21no—
528C22×C4×C89—21no—
529C22×C4×C89—21no—
530C22×C4×C89—21no—
531C22×C4×C89—21no—
532C22×C4×C89—21no—
533C22×C4×C89—21no—
534C22×C4×C89—21no—
535C22×C4×C89—21no—
536C22×C4×C89C2×D411yescharacteristic
537C22×C4×C89C2×D411yescharacteristic
538C22×C4×C89C2411yescharacteristic
539C22×C4×C89C2411yescharacteristic
540C22×C4×C89C2411yescharacteristic
541Q16×C89—22no—
542SD16×C89—22no—
543SD16×C89—41no—
544SD16×C89—41no—
545SD16×C89—41no—
546D8×C89—41no—
547D8×C89—41no—
548D8×C89—41no—
549M16×C89—41no—
550M16×C89—41no—
551C2×C8×C89—41no—
552C2×C8×C89—41no—
553C2×C8×C89—41no—
554C2×C8×C89—41no—
555C2×C8×C89C2411yescharacteristic
556C2×C8×C89C2411yescharacteristic
557C2×C8×C89C2411yescharacteristic
558C2×C8×C89C2411yescharacteristic
559C2×C8×C89C2411yescharacteristic
560C2×C8×C89C2411yescharacteristic
561C2×C8×C89C2411yescharacteristic
562C2×C8×C89C2411yescharacteristic
563C4⋊C4×C89—21no—
564C4⋊C4×C89—21no—
565C4⋊C4×C89—21no—
566C4⋊C4×C89—21no—
567C4⋊C4×C89—21no—
568C4⋊C4×C89—21no—
569C4⋊C4×C89—21no—
570C4⋊C4×C89—21no—
571C4⋊C4×C89—21no—
572C4⋊C4×C89—21no—
573C4⋊C4×C89—21no—
574C4⋊C4×C89—21no—
575C4⋊C4×C89—21no—
576C4⋊C4×C89—21no—
577C4⋊C4×C89—21no—
578C4⋊C4×C89—21no—
579C4⋊C4×C89—21no—
580C4⋊C4×C89—21no—
581C4⋊C4×C89—21no—
582C4⋊C4×C89—21no—
583C4⋊C4×C89—21no—
584C4⋊C4×C89—21no—
585C4⋊C4×C89—21no—
586C4⋊C4×C89—21no—
587C4⋊C4×C89—21no—
588C4⋊C4×C89—21no—
589C4⋊C4×C89—21no—
590C4⋊C4×C89—21no—
591C4⋊C4×C89—21no—
592C4⋊C4×C89—21no—
593C4⋊C4×C89—21no—
594C4⋊C4×C89—21no—
595C4⋊C4×C89—21no—
596C4⋊C4×C89C2×D411yescharacteristic
597C4⋊C4×C89C2×D411yescharacteristic
598C4⋊C4×C89C2×D411yescharacteristic
599C4⋊C4×C89C2×D411yescharacteristic
600C4⋊C4×C89C2×D411yescharacteristic
601C4⋊C4×C89C2×D411yescharacteristic
602C4⋊C4×C89C2×D411yescharacteristic
603C4⋊C4×C89C2×D411yescharacteristic
604C4⋊C4×C89C2×D411yescharacteristic
605C4⋊C4×C89C2×D411yescharacteristic
606C4⋊C4×C89C2411yescharacteristic
607C4⋊C4×C89C2411yescharacteristic
608C4⋊C4×C89C2411yescharacteristic
609C4⋊C4×C89C2411yescharacteristic
610C4⋊C4×C89C2411yescharacteristic
611C4⋊C4×C89C2411yescharacteristic
612C4⋊C4×C89C2411yescharacteristic
613C4⋊C4×C89C2411yescharacteristic
614C4⋊C4×C89C2411yescharacteristic
615C4⋊C4×C89C2411yescharacteristic
616C22⋊C4×C89—21no—
617C22⋊C4×C89—21no—
618C22⋊C4×C89—21no—
619C22⋊C4×C89—21no—
620C22⋊C4×C89—21no—
621C22⋊C4×C89—21no—
622C22⋊C4×C89—21no—
623C22⋊C4×C89—21no—
624C22⋊C4×C89—21no—
625C22⋊C4×C89—21no—
626C22⋊C4×C89—21no—
627C22⋊C4×C89—21no—
628C22⋊C4×C89—21no—
629C22⋊C4×C89—21no—
630C22⋊C4×C89—21no—
631C22⋊C4×C89—21no—
632C22⋊C4×C89—21no—
633C22⋊C4×C89—21no—
634C22⋊C4×C89—21no—
635C22⋊C4×C89—21no—
636C22⋊C4×C89—21no—
637C22⋊C4×C89—21no—
638C22⋊C4×C89—21no—
639C22⋊C4×C89—21no—
640C22⋊C4×C89—21no—
641C22⋊C4×C89—21no—
642C22⋊C4×C89—21no—
643C22⋊C4×C89—21no—
644C22⋊C4×C89C2×D411yescharacteristic
645C22⋊C4×C89C2×D411yescharacteristic
646C22⋊C4×C89C2×D411yescharacteristic
647C22⋊C4×C89C2×D411yescharacteristic
648C22⋊C4×C89C2×D411yescharacteristic
649C22⋊C4×C89C2×D411yescharacteristic
650C22⋊C4×C89C2×D411yescharacteristic
651C22⋊C4×C89C2×D411yescharacteristic
652C22⋊C4×C89C2×D411yescharacteristic
653C22⋊C4×C89C2×D411yescharacteristic
654C42×C89—21no—
655C42×C89—21no—
656C42×C89—21no—
657C42×C89—21no—
658C42×C89—21no—
659C42×C89—21no—
660C42×C89—21no—
661C42×C89—21no—
662C42×C89—21no—
663C42×C89—21no—
664C42×C89—21no—
665C42×C89—21no—
666C42×C89C2×D411yescharacteristic
667C42×C89C2×D411yescharacteristic
668C42×C89C2411yescharacteristic
669C42×C89C2411yescharacteristic
670C42×C89C2411yescharacteristic
671C42×C89C2411yescharacteristic
672C23×C89—21no—
673C23×C89—21no—
674C23×C89—21no—
675C23×C89—21no—
676C23×C89C22×D411yescharacteristic
677C23×C89C22×D411yescharacteristic
678C23×C89C22×D411yescharacteristic
679Q8×C89—21no—
680Q8×C89—21no—
681Q8×C89—21no—
682Q8×C89—41no—
683Q8×C89—42no—
684Q8×C89—81no—
685Q8×C89—81no—
686Q8×C89—81no—
687Q8×C89—81no—
688Q8×C892−1+412yes—
689D4×C89—21no—
690D4×C89—21no—
691D4×C89—21no—
692D4×C89—21no—
693D4×C89—21no—
694D4×C89—21no—
695D4×C89—21no—
696D4×C89—21no—
697D4×C89—41no—
698D4×C89—41no—
699D4×C89—41no—
700D4×C89—42no—
701D4×C89—42no—
702D4×C89—42no—
703D4×C89—42no—
704D4×C89—81no—
705D4×C89—81no—
706D4×C89—81no—
707D4×C89—81no—
708D4×C89—81no—
709D4×C89—81no—
710D4×C89—81no—
711D4×C89—81no—
712D4×C89—81no—
713D4×C89—81no—
714D4×C89—81no—
715D4×C89—81no—
716D4×C89—81no—
717D4×C89—81no—
718C2×C4×C89—21no—
719C2×C4×C89—21no—
720C2×C4×C89—21no—
721C2×C4×C89—21no—
722C2×C4×C89—21no—
723C2×C4×C89—21no—
724C2×C4×C89—21no—
725C2×C4×C89—21no—
726C2×C4×C89—21no—
727C2×C4×C89—21no—
728C2×C4×C89—21no—
729C2×C4×C89—21no—
730C2×C4×C89—21no—
731C2×C4×C89—21no—
732C2×C4×C89—21no—
733C2×C4×C89—21no—
734C2×C4×C89—21no—
735C2×C4×C89—21no—
736C2×C4×C89—41no—
737C2×C4×C89—41no—
738C2×C4×C89—42no—
739C2×C4×C89—42no—
740C2×C4×C89—42no—
741C2×C4×C89—42no—
742C2×C4×C89—81no—
743C2×C4×C89—81no—
744C2×C4×C89—81no—
745C2×C4×C89—81no—
746C2×C4×C89—81no—
747C2×C4×C89—81no—
748C2×C4×C89—81no—
749C2×C4×C89—81no—
750C2×C4×C89—81no—
751C2×C4×C89—81no—
752C2×C4×C89—81no—
753C2×C4×C89—81no—
754C2×C4×C89C22×D411yescharacteristic
755C2×C4×C89C22×D411yescharacteristic
756C2×C4×C89C22×D411yescharacteristic
757C2×C4×C89C22×D411yescharacteristic
758C2×C4×C89C22×D411yescharacteristic
759C2×C4×C89C22×D411yescharacteristic
760C2×C4×C89C22×D411yescharacteristic
761C2×C4×C89C22×D411yescharacteristic
762C2×C4×C89C22×D411yescharacteristic
763C2×C4×C89C22×D411yescharacteristic
764C2×C4×C89C22×D411yescharacteristic
765C2×C4×C89C2511yescharacteristic
766C8×C89—21no—
767C8×C89—21no—
768C8×C89—21no—
769C8×C89—21no—
770C8×C89—21no—
771C8×C89—21no—
772C8×C89—21no—
773C8×C89—21no—
774C22×C89—21no—
775C22×C89—21no—
776C22×C89—21no—
777C22×C89—21no—
778C22×C89—21no—
779C22×C89—21no—
780C22×C89—21no—
781C22×C89—21no—
782C22×C89—21no—
783C22×C89—41no—
784C22×C89—41no—
785C22×C89—41no—
786C22×C89—41no—
787C22×C89—41no—
788C22×C89—41no—
789C22×C89—41no—
790C22×C89—41no—
791C22×C89—41no—
792C22×C89—41no—
793C22×C89—41no—
794C22×C89—41no—
795C22×C89C23×D411yescharacteristic
796C4×C89—21no—
797C4×C89—21no—
798C4×C89—21no—
799C4×C89—21no—
800C4×C89—21no—
801C4×C89—21no—
802C4×C89—21no—
803C4×C89—21no—
804C4×C89—21no—
805C4×C89—21no—
806C4×C89—21no—
807C4×C89—22no—
808C4×C89—41no—
809C4×C89—41no—
810C4×C89—41no—
811C4×C89—41no—
812C4×C89—41no—
813C4×C89—41no—
814C4×C89—41no—
815C4×C89—41no—
816C4×C89—41no—
817C4×C89—41no—
818C4×C89—41no—
819C4×C89C2×2−1+411yescharacteristic
820C4×C89#58511yescharacteristic
821#62162C8911yesmaximal, characteristic, direct product factor, Sylow
822C2×C89—41no—
823C2×C89—41no—
824C2×C89—41no—
825C2×C89—81no—
826C2×C89—81no—
827C2×C89—81no—
828C2×C89—81no—
829C2×C89#348911yescharacteristic
830C2×C89#358411yescharacteristic
831C2×C89#358511yescharacteristic
832#3565C2×C8911yescharacteristic, complemented
833#3517C2×C8911yescharacteristic, complemented
834#3390C2×C8911yescharacteristic, complemented
835#3388C2×C8911yescharacteristic, complemented
836#3368C2×C8911yescharacteristic, complemented
837#3366C2×C8911yescharacteristic, complemented
838#3350C2×C8911yescharacteristic, complemented
839#3347C2×C8911yescharacteristic, complemented
840#3345C2×C8911yescharacteristic, complemented
841#3343C2×C8911yescharacteristic, complemented
842#3339C2×C8911yescharacteristic, complemented
843#3337C2×C8911yescharacteristic, complemented
844#3317C2×C8911yescharacteristic, complemented
845#3317C2×C8911yescharacteristic, complemented
846#3309C2×C8911yescharacteristic, complemented
847#3309C2×C8911yescharacteristic, complemented
848#3305C2×C8911yescharacteristic, complemented
849#3304C2×C8911yescharacteristic, complemented
850#3257C2×C8911yescharacteristic, complemented
851#3257C2×C8911yescharacteristic, complemented
852#3247C2×C8911yescharacteristic, complemented
853#3241C2×C8911yescharacteristic, complemented
854#3241C2×C8911yescharacteristic, complemented
855#3235C2×C8911yescharacteristic, complemented
856#3125C2×C8911yescharacteristic, complemented
857#3124C2×C8911yescharacteristic, complemented
858#3111C2×C8911yescharacteristic, complemented
859#3084C2×C8911yescharacteristic, complemented
860#3083C2×C8911yescharacteristic, complemented
861#3076C2×C8911yescharacteristic, complemented
862#2992C2×C8911yescharacteristic, complemented
863C89#6216211yescharacteristic, direct product factor, Sylow
864#563—21no—
865#562—21no—
866#557C22×C8911yescharacteristic
867#557C22×C8911yescharacteristic
868#556—21no—
869#556C22×C8911yescharacteristic
870#555C22×C8911yescharacteristic
871#554C22×C8911yescharacteristic
872#553—21no—
873#553—21no—
874#553C22×C8911yescharacteristic
875#553C22×C8911yescharacteristic
876#553C22×C8911yescharacteristic
877#553C22×C8911yescharacteristic
878#552—21no—
879#552C22×C8911yescharacteristic
880#552C22×C8911yescharacteristic
881#550—21no—
882#550C22×C8911yescharacteristic
883#550C22×C8911yescharacteristic
884#550C22×C8911yescharacteristic
885#550C22×C8911yescharacteristic
886#547—21no—
887#547C22×C8911yescharacteristic
888#544C22×C8911yescharacteristic
889#544C22×C8911yescharacteristic
890#542—21no—
891#542—21no—
892#542C22×C8911yescharacteristic
893#542C22×C8911yescharacteristic
894#541—21no—
895#540—21no—
896#540—21no—
897#540C22×C8911yescharacteristic
898#540C22×C8911yescharacteristic
899#539—21no—
900#533C22×C8911yescharacteristic
901#532—21no—
902#532C22×C8911yescharacteristic
903#529—21no—
904#529C22×C8911yescharacteristic
905#529C22×C8911yescharacteristic
906#520C22×C8911yescharacteristic
907#520C22×C8911yescharacteristic
908C4×#41C22×C8911yescharacteristic
909#501C22×C8911yescharacteristic
910#501C22×C8911yescharacteristic
911#501C22×C8911yescharacteristic
912#501C22×C8911yescharacteristic
913#499C22×C8911yescharacteristic
914#499C22×C8911yescharacteristic
915#490C22×C8911yescharacteristic
916#490C22×C8911yescharacteristic
917#490C22×C8911yescharacteristic
918#490C22×C8911yescharacteristic
919#486C22×C8911yescharacteristic
920#486C22×C8911yescharacteristic
921#485C22×C8911yescharacteristic
922#484C22×C8911yescharacteristic
923#483C22×C8911yescharacteristic
924#482C22×C8911yescharacteristic
925#482C22×C8911yescharacteristic
926#482C22×C8911yescharacteristic
927#482C22×C8911yescharacteristic
928#482C22×C8911yescharacteristic
929#482C22×C8911yescharacteristic
930#482C22×C8911yescharacteristic
931#482C22×C8911yescharacteristic
932#482C22×C8911yescharacteristic
933#481C22×C8911yescharacteristic
934#481C22×C8911yescharacteristic
935#481C22×C8911yescharacteristic
936#480C22×C8911yescharacteristic
937#480C22×C8911yescharacteristic
938#480C22×C8911yescharacteristic
939#479C22×C8911yescharacteristic
940#479C22×C8911yescharacteristic
941#479C22×C8911yescharacteristic
942#479C22×C8911yescharacteristic
943#479C22×C8911yescharacteristic
944#479C22×C8911yescharacteristic
945#479C22×C8911yescharacteristic
946#478C22×C8911yescharacteristic
947#478C22×C8911yescharacteristic
948#478C22×C8911yescharacteristic
949#478C22×C8911yescharacteristic
950#478C22×C8911yescharacteristic
951#478C22×C8911yescharacteristic
952#478C22×C8911yescharacteristic
953#478C22×C8911yescharacteristic
954#478C22×C8911yescharacteristic
955#477C22×C8911yescharacteristic
956#477C22×C8911yescharacteristic
957#477C22×C8911yescharacteristic
958#476C22×C8911yescharacteristic
959#476C22×C8911yescharacteristic
960#476C22×C8911yescharacteristic
961#476C22×C8911yescharacteristic
962#476C22×C8911yescharacteristic
963#475C22×C8911yescharacteristic
964#475C22×C8911yescharacteristic
965#474C22×C8911yescharacteristic
966#474C22×C8911yescharacteristic
967#474C22×C8911yescharacteristic
968#474C22×C8911yescharacteristic
969#469C22×C8911yescharacteristic
970#469C22×C8911yescharacteristic
971#468C22×C8911yescharacteristic
972#468C22×C8911yescharacteristic
973#466C22×C8911yescharacteristic
974#466C22×C8911yescharacteristic
975#466C22×C8911yescharacteristic
976#466C22×C8911yescharacteristic
977#465C22×C8911yescharacteristic
978#465C22×C8911yescharacteristic
979#465C22×C8911yescharacteristic
980#465C22×C8911yescharacteristic
981#464C22×C8911yescharacteristic
982#463C22×C8911yescharacteristic
983#463C22×C8911yescharacteristic
984#463C22×C8911yescharacteristic
985#460C22×C8911yescharacteristic
986#460C22×C8911yescharacteristic
987#460C22×C8911yescharacteristic
988#459C22×C8911yescharacteristic
989#459C22×C8911yescharacteristic
990#459C22×C8911yescharacteristic
991#452C22×C8911yescharacteristic
992#452C22×C8911yescharacteristic
993#452C22×C8911yescharacteristic
994#449C22×C8911yescharacteristic
995#449C22×C8911yescharacteristic
996#449C22×C8911yescharacteristic
997#446C22×C8911yescharacteristic
998#446C22×C8911yescharacteristic
999#442C22×C8911yescharacteristic
1000#442C22×C8911yescharacteristic
1001#441C22×C8911yescharacteristic
1002#441C22×C8911yescharacteristic
1003#440C22×C8911yescharacteristic
1004#440C22×C8911yescharacteristic
1005#440C22×C8911yescharacteristic
1006#440C22×C8911yescharacteristic
1007C4×Q16C22×C8911yescharacteristic
1008C4×SD16C22×C8911yescharacteristic
1009C4×SD16C22×C8911yescharacteristic
1010C4×D8C22×C8911yescharacteristic
1011#435C22×C8911yescharacteristic
1012#435C22×C8911yescharacteristic
1013#435C22×C8911yescharacteristic
1014#435C22×C8911yescharacteristic
1015C8×D4C22×C8911yescharacteristic
1016C8×D4C22×C8911yescharacteristic
1017#433C22×C8911yescharacteristic
1018#433C22×C8911yescharacteristic
1019#432C22×C8911yescharacteristic
1020#428C22×C8911yescharacteristic
1021#428C22×C8911yescharacteristic
1022#427C22×C8911yescharacteristic
1023#427C22×C8911yescharacteristic
1024C2×#107C22×C8911yescharacteristic
1025C2×#106C22×C8911yescharacteristic
1026#424C22×C8911yescharacteristic
1027#424C22×C8911yescharacteristic
1028C2×C4⋊C8C22×C8911yescharacteristic
1029#417C22×C8911yescharacteristic
1030#417C22×C8911yescharacteristic
1031#416C22×C8911yescharacteristic
1032#416C22×C8911yescharacteristic
1033#416C22×C8911yescharacteristic
1034#416C22×C8911yescharacteristic
1035C2×#41—21no—
1036C2×#41—21no—
1037C2×#41—21no—
1038C2×#41C23×C8911yescharacteristic
1039C2×#41C23×C8911yescharacteristic
1040C2×#41C23×C8911yescharacteristic
1041C2×Q16C23×C8911yescharacteristic
1042C2×SD16C23×C8911yescharacteristic
1043C2×SD16C23×C8911yescharacteristic
1044C2×SD16C23×C8911yescharacteristic
1045C2×SD16C23×C8911yescharacteristic
1046C2×D8C23×C8911yescharacteristic
1047C2×D8C23×C8911yescharacteristic
1048C2×D8C23×C8911yescharacteristic
1049C2×M16C23×C8911yescharacteristic
1050C2×M16C23×C8911yescharacteristic
1051C22×C8C23×C8911yescharacteristic
1052C22×C8C23×C8911yescharacteristic
1053C22×C8C23×C8911yescharacteristic
1054C22×C8C23×C8911yescharacteristic
1055C4⋊Q8—21no—
1056C4⋊Q8—21no—
1057C4⋊Q8—21no—
1058C4⋊Q8—21no—
1059C4⋊Q8C23×C8911yescharacteristic
1060C4⋊Q8C23×C8911yescharacteristic
1061C4⋊Q8C23×C8911yescharacteristic
1062C4⋊Q8C23×C8911yescharacteristic
1063C4⋊Q8C23×C8911yescharacteristic
1064#127—21no—
1065#127—21no—
1066#127—21no—
1067#127C23×C8911yescharacteristic
1068#127C23×C8911yescharacteristic
1069#127C23×C8911yescharacteristic
1070#126—21no—
1071#126—21no—
1072#126—21no—
1073#126—21no—
1074#126—21no—
1075#126—21no—
1076#126—21no—
1077#126—21no—
1078#126—21no—
1079#126—21no—
1080#126—21no—
1081#126D4×C8911yescharacteristic
1082#126D4×C8911yescharacteristic
1083#125—21no—
1084#125—21no—
1085#125—21no—
1086#125—21no—
1087#125—21no—
1088#125—21no—
1089#125—21no—
1090#125—21no—
1091#125D4×C8911yescharacteristic
1092#125C23×C8911yescharacteristic
1093#125C23×C8911yescharacteristic
1094#125C23×C8911yescharacteristic
1095#125C23×C8911yescharacteristic
1096#125C23×C8911yescharacteristic
1097#125C23×C8911yescharacteristic
1098#125C23×C8911yescharacteristic
1099#124—21no—
1100#124—21no—
1101#124—21no—
1102#124—21no—
1103#124—21no—
1104#124—21no—
1105#124D4×C8911yescharacteristic
1106#124C23×C8911yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—21no—
1110#123—21no—
1111#123—21no—
1112#123—21no—
1113#123—21no—
1114#123—21no—
1115#123—21no—
1116#123—21no—
1117#123—21no—
1118#123—21no—
1119#123—21no—
1120#123—21no—
1121#123—21no—
1122#123D4×C8911yescharacteristic
1123#123D4×C8911yescharacteristic
1124C22⋊Q8—21no—
1125C22⋊Q8—21no—
1126C22⋊Q8—21no—
1127C22⋊Q8—21no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—21no—
1132C22⋊Q8—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8D4×C8911yescharacteristic
1137C22⋊Q8C23×C8911yescharacteristic
1138C22⋊Q8C23×C8911yescharacteristic
1139C22⋊Q8C23×C8911yescharacteristic
1140#121—21no—
1141#121—21no—
1142#121—21no—
1143#121—21no—
1144#121—21no—
1145#121—21no—
1146#121—21no—
1147#121—21no—
1148#121—21no—
1149#121—21no—
1150#121—21no—
1151#121—21no—
1152#121—21no—
1153#121—21no—
1154#121—21no—
1155#121—21no—
1156#121—21no—
1157#121—21no—
1158#121—21no—
1159#121D4×C8911yescharacteristic
1160#121C23×C8911yescharacteristic
1161#121C23×C8911yescharacteristic
1162#121C23×C8911yescharacteristic
1163#121C23×C8911yescharacteristic
1164#121C23×C8911yescharacteristic
1165#121C23×C8911yescharacteristic
1166#121C23×C8911yescharacteristic
1167#121C23×C8911yescharacteristic
1168#121C23×C8911yescharacteristic
1169C4×Q8—21no—
1170C4×Q8—21no—
1171C4×Q8—21no—
1172C4×Q8—21no—
1173C4×Q8—21no—
1174C4×Q8C23×C8911yescharacteristic
1175C4×Q8C23×C8911yescharacteristic
1176C4×Q8C23×C8911yescharacteristic
1177C4×Q8C23×C8911yescharacteristic
1178C4×Q8C23×C8911yescharacteristic
1179C4×Q8C23×C8911yescharacteristic
1180C4×Q8C23×C8911yescharacteristic
1181C4×Q8C23×C8911yescharacteristic
1182C4×D4—21no—
1183C4×D4—21no—
1184C4×D4—21no—
1185C4×D4—21no—
1186C4×D4—21no—
1187C4×D4—21no—
1188C4×D4—21no—
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4C23×C8911yescharacteristic
1198C4×D4C23×C8911yescharacteristic
1199C4×D4C23×C8911yescharacteristic
1200C4×D4C23×C8911yescharacteristic
1201C4×D4C23×C8911yescharacteristic
1202C4×D4C23×C8911yescharacteristic
1203C4×D4C23×C8911yescharacteristic
1204C4×D4C23×C8911yescharacteristic
1205C4×D4C23×C8911yescharacteristic
1206C4×D4C23×C8911yescharacteristic
1207C4×D4C23×C8911yescharacteristic
1208C4×D4C23×C8911yescharacteristic
1209#117—21no—
1210#117—21no—
1211#117—21no—
1212#117—21no—
1213#117—21no—
1214#117—21no—
1215#117—21no—
1216#117C23×C8911yescharacteristic
1217#117C23×C8911yescharacteristic
1218#117C23×C8911yescharacteristic
1219#117C23×C8911yescharacteristic
1220#117C23×C8911yescharacteristic
1221#117C23×C8911yescharacteristic
1222#117C23×C8911yescharacteristic
1223C2×C4⋊C4—21no—
1224C2×C4⋊C4—21no—
1225C2×C4⋊C4—21no—
1226C2×C4⋊C4C23×C8911yescharacteristic
1227C2×C4⋊C4C23×C8911yescharacteristic
1228C2×C4⋊C4C23×C8911yescharacteristic
1229C2×C4⋊C4C23×C8911yescharacteristic
1230C2×C42—21no—
1231C2×C42C23×C8911yescharacteristic
1232#107C23×C8911yescharacteristic
1233#107C23×C8911yescharacteristic
1234#107C23×C8911yescharacteristic
1235#107C23×C8911yescharacteristic
1236#107C23×C8911yescharacteristic
1237#107C23×C8911yescharacteristic
1238#107C23×C8911yescharacteristic
1239#107C23×C8911yescharacteristic
1240#107C23×C8911yescharacteristic
1241#107C23×C8911yescharacteristic
1242#107C23×C8911yescharacteristic
1243#107C23×C8911yescharacteristic
1244#106C23×C8911yescharacteristic
1245#106C23×C8911yescharacteristic
1246#106C23×C8911yescharacteristic
1247#106C23×C8911yescharacteristic
1248#106C23×C8911yescharacteristic
1249#106C23×C8911yescharacteristic
1250#106C23×C8911yescharacteristic
1251#106C23×C8911yescharacteristic
1252#106C23×C8911yescharacteristic
1253#106C23×C8911yescharacteristic
1254#106C23×C8911yescharacteristic
1255#106C23×C8911yescharacteristic
1256C4⋊C8C23×C8911yescharacteristic
1257C4⋊C8C23×C8911yescharacteristic
1258C4⋊C8C23×C8911yescharacteristic
1259C4⋊C8C23×C8911yescharacteristic
1260C4⋊C8C23×C8911yescharacteristic
1261C4⋊C8C23×C8911yescharacteristic
1262C4⋊C8C23×C8911yescharacteristic
1263C4⋊C8C23×C8911yescharacteristic
1264C4⋊C8C23×C8911yescharacteristic
1265C4⋊C8C23×C8911yescharacteristic
1266#103C23×C8911yescharacteristic
1267#103C23×C8911yescharacteristic
1268#103C23×C8911yescharacteristic
1269#103C23×C8911yescharacteristic
1270#103C23×C8911yescharacteristic
1271#103C23×C8911yescharacteristic
1272#103C23×C8911yescharacteristic
1273#103C23×C8911yescharacteristic
1274#103C23×C8911yescharacteristic
1275#103C23×C8911yescharacteristic
1276#102C23×C8911yescharacteristic
1277#102C23×C8911yescharacteristic
1278#102C23×C8911yescharacteristic
1279#102C23×C8911yescharacteristic
1280#102C23×C8911yescharacteristic
1281#102C23×C8911yescharacteristic
1282#102C23×C8911yescharacteristic
1283#102C23×C8911yescharacteristic
1284#102C23×C8911yescharacteristic
1285#102C23×C8911yescharacteristic
1286#102C23×C8911yescharacteristic
1287#102C23×C8911yescharacteristic
1288#102C23×C8911yescharacteristic
1289#102C23×C8911yescharacteristic
1290#102C23×C8911yescharacteristic
1291#102C23×C8911yescharacteristic
1292#102C23×C8911yescharacteristic
1293#102C23×C8911yescharacteristic
1294#102C23×C8911yescharacteristic
1295#102C23×C8911yescharacteristic
1296#102C23×C8911yescharacteristic
1297#102C23×C8911yescharacteristic
1298C22⋊C8C23×C8911yescharacteristic
1299C22⋊C8C23×C8911yescharacteristic
1300C22⋊C8C23×C8911yescharacteristic
1301C22⋊C8C23×C8911yescharacteristic
1302C22⋊C8C23×C8911yescharacteristic
1303C22⋊C8C23×C8911yescharacteristic
1304#97C23×C8911yescharacteristic
1305#97C23×C8911yescharacteristic
1306#97C23×C8911yescharacteristic
1307#97C23×C8911yescharacteristic
1308C4×C8C23×C8911yescharacteristic
1309C4×C8C23×C8911yescharacteristic
1310#41—22no—
1311#41—22no—
1312#41—22no—
1313#41—41no—
1314#41—41no—
1315#41—41no—
1316#41—82no—
1317#41—82no—
1318#41—82no—
1319C2×Q8—21no—
1320C2×Q8—21no—
1321C2×Q8—21no—
1322C2×Q8—21no—
1323C2×Q8—21no—
1324C2×Q8C2×D4×C8911yescharacteristic
1325C2×Q8C24×C8911yescharacteristic
1326C2×Q8C24×C8911yescharacteristic
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4—21no—
1343C2×D4—21no—
1344C2×D4—21no—
1345C2×D4C2×D4×C8911yescharacteristic
1346C2×D4C2×D4×C8911yescharacteristic
1347C2×D4C2×D4×C8911yescharacteristic
1348C2×D4C24×C8911yescharacteristic
1349C2×D4C24×C8911yescharacteristic
1350C2×D4C24×C8911yescharacteristic
1351C2×D4C24×C8911yescharacteristic
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4C2×D4×C8911yescharacteristic
1369C22×C4C2×D4×C8911yescharacteristic
1370C22×C4C24×C8911yescharacteristic
1371C22×C4C24×C8911yescharacteristic
1372C22×C4C24×C8911yescharacteristic
1373Q16—22no—
1374SD16—22no—
1375SD16—41no—
1376SD16—41no—
1377SD16—41no—
1378D8—41no—
1379D8—41no—
1380D8—41no—
1381M16—41no—
1382M16—41no—
1383C2×C8—41no—
1384C2×C8—41no—
1385C2×C8—41no—
1386C2×C8—41no—
1387C2×C8C24×C8911yescharacteristic
1388C2×C8C24×C8911yescharacteristic
1389C2×C8C24×C8911yescharacteristic
1390C2×C8C24×C8911yescharacteristic
1391C2×C8C24×C8911yescharacteristic
1392C2×C8C24×C8911yescharacteristic
1393C2×C8C24×C8911yescharacteristic
1394C2×C8C24×C8911yescharacteristic
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4C2×D4×C8911yescharacteristic
1429C4⋊C4C2×D4×C8911yescharacteristic
1430C4⋊C4C2×D4×C8911yescharacteristic
1431C4⋊C4C2×D4×C8911yescharacteristic
1432C4⋊C4C2×D4×C8911yescharacteristic
1433C4⋊C4C2×D4×C8911yescharacteristic
1434C4⋊C4C2×D4×C8911yescharacteristic
1435C4⋊C4C2×D4×C8911yescharacteristic
1436C4⋊C4C2×D4×C8911yescharacteristic
1437C4⋊C4C2×D4×C8911yescharacteristic
1438C4⋊C4C24×C8911yescharacteristic
1439C4⋊C4C24×C8911yescharacteristic
1440C4⋊C4C24×C8911yescharacteristic
1441C4⋊C4C24×C8911yescharacteristic
1442C4⋊C4C24×C8911yescharacteristic
1443C4⋊C4C24×C8911yescharacteristic
1444C4⋊C4C24×C8911yescharacteristic
1445C4⋊C4C24×C8911yescharacteristic
1446C4⋊C4C24×C8911yescharacteristic
1447C4⋊C4C24×C8911yescharacteristic
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4C2×D4×C8911yescharacteristic
1477C22⋊C4C2×D4×C8911yescharacteristic
1478C22⋊C4C2×D4×C8911yescharacteristic
1479C22⋊C4C2×D4×C8911yescharacteristic
1480C22⋊C4C2×D4×C8911yescharacteristic
1481C22⋊C4C2×D4×C8911yescharacteristic
1482C22⋊C4C2×D4×C8911yescharacteristic
1483C22⋊C4C2×D4×C8911yescharacteristic
1484C22⋊C4C2×D4×C8911yescharacteristic
1485C22⋊C4C2×D4×C8911yescharacteristic
1486C42—21no—
1487C42—21no—
1488C42—21no—
1489C42—21no—
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—21no—
1497C42—21no—
1498C42C2×D4×C8911yescharacteristic
1499C42C2×D4×C8911yescharacteristic
1500C42C24×C8911yescharacteristic
1501C42C24×C8911yescharacteristic
1502C42C24×C8911yescharacteristic
1503C42C24×C8911yescharacteristic
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23C22×D4×C8911yescharacteristic
1509C23C22×D4×C8911yescharacteristic
1510C23C22×D4×C8911yescharacteristic
1511Q8—21no—
1512Q8—21no—
1513Q8—21no—
1514Q8—41no—
1515Q8—42no—
1516Q8—81no—
1517Q8—81no—
1518Q8—81no—
1519Q8—81no—
1520Q82−1+4×C8912yes—
1521D4—21no—
1522D4—21no—
1523D4—21no—
1524D4—21no—
1525D4—21no—
1526D4—21no—
1527D4—21no—
1528D4—21no—
1529D4—41no—
1530D4—41no—
1531D4—41no—
1532D4—42no—
1533D4—42no—
1534D4—42no—
1535D4—42no—
1536D4—81no—
1537D4—81no—
1538D4—81no—
1539D4—81no—
1540D4—81no—
1541D4—81no—
1542D4—81no—
1543D4—81no—
1544D4—81no—
1545D4—81no—
1546D4—81no—
1547D4—81no—
1548D4—81no—
1549D4—81no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—42no—
1571C2×C4—42no—
1572C2×C4—42no—
1573C2×C4—42no—
1574C2×C4—81no—
1575C2×C4—81no—
1576C2×C4—81no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4—81no—
1580C2×C4—81no—
1581C2×C4—81no—
1582C2×C4—81no—
1583C2×C4—81no—
1584C2×C4—81no—
1585C2×C4—81no—
1586C2×C4C22×D4×C8911yescharacteristic
1587C2×C4C22×D4×C8911yescharacteristic
1588C2×C4C22×D4×C8911yescharacteristic
1589C2×C4C22×D4×C8911yescharacteristic
1590C2×C4C22×D4×C8911yescharacteristic
1591C2×C4C22×D4×C8911yescharacteristic
1592C2×C4C22×D4×C8911yescharacteristic
1593C2×C4C22×D4×C8911yescharacteristic
1594C2×C4C22×D4×C8911yescharacteristic
1595C2×C4C22×D4×C8911yescharacteristic
1596C2×C4C22×D4×C8911yescharacteristic
1597C2×C4C25×C8911yescharacteristic
1598C8—21no—
1599C8—21no—
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—21no—
1606C22—21no—
1607C22—21no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22C23×D4×C8911yescharacteristic
1628C4—21no—
1629C4—21no—
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—22no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4C2×2−1+4×C8911yescharacteristic
1652C4#585×C8911yescharacteristic
1653C2—41no—
1654C2—41no—
1655C2—41no—
1656C2—81no—
1657C2—81no—
1658C2—81no—
1659C2—81no—
1660C2C89×#348911yescharacteristic
1661C2C89×#358411yescharacteristic
1662C2C89×#358511yescharacteristic
subgroupG/H
center, socleC22×C89C23×D4
commutator, Frattini, cosocleC2×C4C25×C89
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C89 ◁ #529×C89 ◁ G

Complements

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

NH ≅ G/Ntype
1. C89×#3565C2semidirect
2. C89×#3517C2semidirect
3. C89×#3390C2semidirect
4. C89×#3388C2semidirect
5. C89×#3368C2semidirect
6. C89×#3366C2semidirect
7. C89×#3350C2semidirect
8. C89×#3347C2semidirect
9. C89×#3345C2semidirect
10. C89×#3343C2semidirect
11. C89×#3339C2semidirect
12. C89×#3337C2semidirect
13. C89×#3317C2semidirect
14. C89×#3317C2semidirect
15. C89×#3309C2semidirect
16. C89×#3309C2semidirect
17. C89×#3305C2semidirect
18. C89×#3304C2semidirect
19. C89×#3257C2semidirect
20. C89×#3257C2semidirect
21. C89×#3247C2semidirect
22. C89×#3241C2semidirect
23. C89×#3241C2semidirect
24. C89×#3235C2semidirect
25. C89×#3125C2semidirect
26. C89×#3124C2semidirect
27. C89×#3111C2semidirect
28. C89×#3084C2semidirect
29. C89×#3083C2semidirect
30. C89×#3076C2semidirect
31. C89×#2992C2semidirect
821. #62162C89direct (N × H)
832. #3565C2×C89semidirect
833. #3517C2×C89semidirect
834. #3390C2×C89semidirect
835. #3388C2×C89semidirect
836. #3368C2×C89semidirect
837. #3366C2×C89semidirect
838. #3350C2×C89semidirect
839. #3347C2×C89semidirect
840. #3345C2×C89semidirect
841. #3343C2×C89semidirect
842. #3339C2×C89semidirect
843. #3337C2×C89semidirect
844. #3317C2×C89semidirect
845. #3317C2×C89semidirect
846. #3309C2×C89semidirect
847. #3309C2×C89semidirect
848. #3305C2×C89semidirect
849. #3304C2×C89semidirect
850. #3257C2×C89semidirect
851. #3257C2×C89semidirect
852. #3247C2×C89semidirect
853. #3241C2×C89semidirect
854. #3241C2×C89semidirect
855. #3235C2×C89semidirect
856. #3125C2×C89semidirect
857. #3124C2×C89semidirect
858. #3111C2×C89semidirect
859. #3084C2×C89semidirect
860. #3083C2×C89semidirect
861. #3076C2×C89semidirect
862. #2992C2×C89semidirect
863. C89#62162direct (N × H)

Maximal subgroups

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

subgroupindex
C89×#35652
C89×#35172
C89×#33902
C89×#33882
C89×#33682
C89×#33662
C89×#33502
C89×#33472
C89×#33452
C89×#33432
C89×#33392
C89×#33372
C89×#33172
C89×#33092
C89×#33052
C89×#33042
C89×#32572
C89×#32472
C89×#32412
C89×#32352
C89×#31252
C89×#31242
C89×#31112
C89×#30842
C89×#30832
C89×#30762
C89×#29922
#6216289