Finite Group Databasebeta

← C89×#62565 #36440413

Subgroups — C89×#62565 #36440413

Order 22784.

1652 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3565C211yesmaximal, characteristic, complemented
2C89×#3552C211yesmaximal, characteristic, complemented
3C89×#3377C211yesmaximal, characteristic, complemented
4C89×#3376C211yesmaximal, characteristic, complemented
5C89×#3374C211yesmaximal, characteristic, complemented
6C89×#3372C211yesmaximal, characteristic, complemented
7C89×#3329C211yesmaximal, characteristic, complemented
8C89×#3328C211yesmaximal, characteristic, complemented
9C89×#3327C211yesmaximal, characteristic, complemented
10C89×#3326C211yesmaximal, characteristic, complemented
11C89×#3321C211yesmaximal, characteristic, complemented
12C89×#3320C211yesmaximal, characteristic, complemented
13C89×#3320C211yesmaximal, characteristic, complemented
14C89×#3315C211yesmaximal, characteristic, complemented
15C89×#3313C211yesmaximal, characteristic, complemented
16C89×#3312C211yesmaximal, characteristic, complemented
17C89×#3312C211yesmaximal, characteristic, complemented
18C89×#3307C211yesmaximal, characteristic, complemented
19C89×#3242C211yesmaximal, characteristic, complemented
20C89×#3242C211yesmaximal, characteristic, complemented
21C89×#3240C211yesmaximal, characteristic, complemented
22C89×#3225C211yesmaximal, characteristic, complemented
23C89×#3225C211yesmaximal, characteristic, complemented
24C89×#3218C211yesmaximal, characteristic, complemented
25C89×#3183C211yesmaximal, characteristic, complemented
26C89×#3178C211yesmaximal, characteristic, complemented
27C89×#3178C211yesmaximal, characteristic, complemented
28C89×#3139C211yesmaximal, characteristic, complemented
29C89×#3137C211yesmaximal, characteristic, complemented
30C89×#3137C211yesmaximal, characteristic, complemented
31C89×#2967C211yesmaximal, characteristic, complemented
32#563×C89—21no—
33#563×C89—21no—
34#563×C89—21no—
35#562×C89—21no—
36#557×C89C2211yescharacteristic
37#557×C89C2211yescharacteristic
38#556×C89—21no—
39#556×C89C2211yescharacteristic
40#556×C89C2211yescharacteristic
41#555×C89C2211yescharacteristic
42#554×C89—21no—
43#554×C89C2211yescharacteristic
44#553×C89—21no—
45#553×C89C2211yescharacteristic
46#553×C89C2211yescharacteristic
47#552×C89—21no—
48#552×C89C2211yescharacteristic
49#552×C89C2211yescharacteristic
50D4×Q8×C89C2211yescharacteristic
51D4×Q8×C89C2211yescharacteristic
52D4×Q8×C89C2211yescharacteristic
53#548×C89C2211yescharacteristic
54#548×C89C2211yescharacteristic
55#547×C89C2211yescharacteristic
56#544×C89—21no—
57#544×C89C2211yescharacteristic
58#544×C89C2211yescharacteristic
59#542×C89—21no—
60#542×C89—21no—
61#542×C89—21no—
62#542×C89C2211yescharacteristic
63#542×C89C2211yescharacteristic
64#541×C89—21no—
65#541×C89C2211yescharacteristic
66#541×C89C2211yescharacteristic
67#539×C89—21no—
68#539×C89—21no—
69#539×C89—21no—
70#536×C89C2211yescharacteristic
71#536×C89C2211yescharacteristic
72#533×C89C2211yescharacteristic
73C2×C4⋊Q8×C89C2211yescharacteristic
74#529×C89C2211yescharacteristic
75#529×C89C2211yescharacteristic
76#529×C89C2211yescharacteristic
77#501×C89C2211yescharacteristic
78#501×C89C2211yescharacteristic
79#499×C89C2211yescharacteristic
80#497×C89C2211yescharacteristic
81#497×C89C2211yescharacteristic
82#495×C89C2211yescharacteristic
83#491×C89C2211yescharacteristic
84#491×C89C2211yescharacteristic
85#491×C89C2211yescharacteristic
86#491×C89C2211yescharacteristic
87#491×C89C2211yescharacteristic
88#491×C89C2211yescharacteristic
89#491×C89C2211yescharacteristic
90#491×C89C2211yescharacteristic
91#489×C89C2211yescharacteristic
92#489×C89C2211yescharacteristic
93#489×C89C2211yescharacteristic
94#489×C89C2211yescharacteristic
95#488×C89C2211yescharacteristic
96#488×C89C2211yescharacteristic
97#488×C89C2211yescharacteristic
98#488×C89C2211yescharacteristic
99#487×C89C2211yescharacteristic
100#487×C89C2211yescharacteristic
101#487×C89C2211yescharacteristic
102#487×C89C2211yescharacteristic
103#487×C89C2211yescharacteristic
104#487×C89C2211yescharacteristic
105#485×C89C2211yescharacteristic
106#485×C89C2211yescharacteristic
107#485×C89C2211yescharacteristic
108#485×C89C2211yescharacteristic
109#485×C89C2211yescharacteristic
110#485×C89C2211yescharacteristic
111#484×C89C2211yescharacteristic
112#484×C89C2211yescharacteristic
113#483×C89C2211yescharacteristic
114#483×C89C2211yescharacteristic
115#482×C89C2211yescharacteristic
116#482×C89C2211yescharacteristic
117#479×C89C2211yescharacteristic
118#479×C89C2211yescharacteristic
119#479×C89C2211yescharacteristic
120#479×C89C2211yescharacteristic
121#479×C89C2211yescharacteristic
122#479×C89C2211yescharacteristic
123#478×C89C2211yescharacteristic
124#478×C89C2211yescharacteristic
125#477×C89C2211yescharacteristic
126#477×C89C2211yescharacteristic
127#475×C89C2211yescharacteristic
128#475×C89C2211yescharacteristic
129#470×C89C2211yescharacteristic
130#470×C89C2211yescharacteristic
131#470×C89C2211yescharacteristic
132#469×C89C2211yescharacteristic
133#468×C89C2211yescharacteristic
134#468×C89C2211yescharacteristic
135#468×C89C2211yescharacteristic
136#468×C89C2211yescharacteristic
137#467×C89C2211yescharacteristic
138#467×C89C2211yescharacteristic
139#465×C89C2211yescharacteristic
140#465×C89C2211yescharacteristic
141#464×C89C2211yescharacteristic
142#464×C89C2211yescharacteristic
143#463×C89C2211yescharacteristic
144#463×C89C2211yescharacteristic
145#462×C89C2211yescharacteristic
146#462×C89C2211yescharacteristic
147#462×C89C2211yescharacteristic
148#462×C89C2211yescharacteristic
149#461×C89C2211yescharacteristic
150#461×C89C2211yescharacteristic
151#461×C89C2211yescharacteristic
152#461×C89C2211yescharacteristic
153#452×C89C2211yescharacteristic
154#452×C89C2211yescharacteristic
155#451×C89C2211yescharacteristic
156#451×C89C2211yescharacteristic
157#451×C89C2211yescharacteristic
158#451×C89C2211yescharacteristic
159#449×C89C2211yescharacteristic
160#449×C89C2211yescharacteristic
161#448×C89C2211yescharacteristic
162#448×C89C2211yescharacteristic
163#448×C89C2211yescharacteristic
164#448×C89C2211yescharacteristic
165#446×C89C2211yescharacteristic
166#446×C89C2211yescharacteristic
167#442×C89C2211yescharacteristic
168#441×C89C2211yescharacteristic
169#441×C89C2211yescharacteristic
170#441×C89C2211yescharacteristic
171#440×C89C2211yescharacteristic
172#440×C89C2211yescharacteristic
173#440×C89C2211yescharacteristic
174#440×C89C2211yescharacteristic
175C4×Q16×C89C2211yescharacteristic
176C4×Q16×C89C2211yescharacteristic
177C4×SD16×C89C2211yescharacteristic
178C4×SD16×C89C2211yescharacteristic
179#436×C89C2211yescharacteristic
180#436×C89C2211yescharacteristic
181#435×C89C2211yescharacteristic
182#435×C89C2211yescharacteristic
183#435×C89C2211yescharacteristic
184#435×C89C2211yescharacteristic
185#433×C89C2211yescharacteristic
186#433×C89C2211yescharacteristic
187#432×C89C2211yescharacteristic
188#419×C89C2211yescharacteristic
189#419×C89C2211yescharacteristic
190#419×C89C2211yescharacteristic
191#419×C89C2211yescharacteristic
192#419×C89C2211yescharacteristic
193#419×C89C2211yescharacteristic
194#417×C89C2211yescharacteristic
195#417×C89C2211yescharacteristic
196#416×C89C2211yescharacteristic
197#416×C89C2211yescharacteristic
198C2×#103×C89C2211yescharacteristic
199C2×#103×C89C2211yescharacteristic
200#405×C89C2211yescharacteristic
201#405×C89C2211yescharacteristic
202C4×M16×C89C2211yescharacteristic
203C2×#41×C89C2311yescharacteristic
204C2×#41×C89C2311yescharacteristic
205C22×Q8×C89C2311yescharacteristic
206C22×Q8×C89C2311yescharacteristic
207C22×Q8×C89C2311yescharacteristic
208C22×Q8×C89C2311yescharacteristic
209C2×Q16×C89C2311yescharacteristic
210C2×Q16×C89C2311yescharacteristic
211C2×Q16×C89C2311yescharacteristic
212C2×Q16×C89C2311yescharacteristic
213C2×Q16×C89C2311yescharacteristic
214C2×SD16×C89C2311yescharacteristic
215C2×SD16×C89C2311yescharacteristic
216C2×SD16×C89C2311yescharacteristic
217C2×SD16×C89C2311yescharacteristic
218C2×SD16×C89C2311yescharacteristic
219C2×SD16×C89C2311yescharacteristic
220C2×D8×C89C2311yescharacteristic
221C2×M16×C89C2311yescharacteristic
222C2×M16×C89C2311yescharacteristic
223C2×M16×C89C2311yescharacteristic
224C2×M16×C89C2311yescharacteristic
225C22×C8×C89C2311yescharacteristic
226C22×C8×C89C2311yescharacteristic
227C4⋊Q8×C89—21no—
228C4⋊Q8×C89—21no—
229C4⋊Q8×C89—21no—
230C4⋊Q8×C89—21no—
231C4⋊Q8×C89—21no—
232C4⋊Q8×C89—21no—
233C4⋊Q8×C89—21no—
234C4⋊Q8×C89—21no—
235C4⋊Q8×C89C2311yescharacteristic
236C4⋊Q8×C89C2311yescharacteristic
237C4⋊Q8×C89C2311yescharacteristic
238C4⋊Q8×C89C2311yescharacteristic
239C4⋊Q8×C89C2311yescharacteristic
240C4⋊Q8×C89C2311yescharacteristic
241C4⋊Q8×C89C2311yescharacteristic
242C4⋊Q8×C89C2311yescharacteristic
243C4⋊Q8×C89C2311yescharacteristic
244C4⋊Q8×C89C2311yescharacteristic
245#126×C89—21no—
246#126×C89—21no—
247#126×C89—21no—
248#126×C89—21no—
249#126×C89—21no—
250#126×C89—21no—
251#126×C89—21no—
252#126×C89—21no—
253#126×C89—21no—
254#126×C89—21no—
255#126×C89—21no—
256#126×C89—21no—
257#126×C89—21no—
258#126×C89—21no—
259#126×C89—21no—
260#126×C89—21no—
261#126×C89D411yescharacteristic
262#126×C89D411yescharacteristic
263#125×C89—21no—
264#125×C89—21no—
265#125×C89—21no—
266#125×C89—21no—
267#125×C89—21no—
268#125×C89—21no—
269#125×C89—21no—
270#125×C89—21no—
271#125×C89—21no—
272#125×C89—21no—
273#125×C89—21no—
274#125×C89—21no—
275#125×C89—21no—
276#125×C89D411yescharacteristic
277#125×C89C2311yescharacteristic
278#125×C89C2311yescharacteristic
279#125×C89C2311yescharacteristic
280#125×C89C2311yescharacteristic
281#125×C89C2311yescharacteristic
282#125×C89C2311yescharacteristic
283#124×C89—21no—
284#124×C89—21no—
285#124×C89—21no—
286#124×C89—21no—
287#124×C89—21no—
288#124×C89—21no—
289#124×C89—21no—
290#124×C89D411yescharacteristic
291#124×C89C2311yescharacteristic
292#124×C89C2311yescharacteristic
293#124×C89C2311yescharacteristic
294#124×C89C2311yescharacteristic
295#123×C89—21no—
296#123×C89—21no—
297#123×C89—21no—
298#123×C89—21no—
299#123×C89—21no—
300#123×C89—21no—
301#123×C89—21no—
302#123×C89—21no—
303#123×C89—21no—
304#123×C89—21no—
305#123×C89—21no—
306#123×C89—21no—
307#123×C89—21no—
308#123×C89—21no—
309#123×C89D411yescharacteristic
310#123×C89D411yescharacteristic
311C22⋊Q8×C89—21no—
312C22⋊Q8×C89—21no—
313C22⋊Q8×C89—21no—
314C22⋊Q8×C89—21no—
315C22⋊Q8×C89—21no—
316C22⋊Q8×C89—21no—
317C22⋊Q8×C89—21no—
318C22⋊Q8×C89—21no—
319C22⋊Q8×C89—21no—
320C22⋊Q8×C89—21no—
321C22⋊Q8×C89—21no—
322C22⋊Q8×C89—21no—
323C22⋊Q8×C89—21no—
324C22⋊Q8×C89—21no—
325C22⋊Q8×C89—21no—
326C22⋊Q8×C89—21no—
327C22⋊Q8×C89—21no—
328C22⋊Q8×C89—21no—
329C22⋊Q8×C89—21no—
330C22⋊Q8×C89—21no—
331C22⋊Q8×C89—21no—
332C22⋊Q8×C89—21no—
333C22⋊Q8×C89—21no—
334C22⋊Q8×C89—21no—
335C22⋊Q8×C89D411yescharacteristic
336C22⋊Q8×C89C2311yescharacteristic
337C22⋊Q8×C89C2311yescharacteristic
338C22⋊Q8×C89C2311yescharacteristic
339C22⋊Q8×C89C2311yescharacteristic
340C22⋊Q8×C89C2311yescharacteristic
341C22⋊Q8×C89C2311yescharacteristic
342C22⋊Q8×C89C2311yescharacteristic
343C22⋊Q8×C89C2311yescharacteristic
344#121×C89—21no—
345#121×C89—21no—
346#121×C89—21no—
347#121×C89—21no—
348#121×C89—21no—
349#121×C89—21no—
350#121×C89D411yescharacteristic
351#121×C89C2311yescharacteristic
352#121×C89C2311yescharacteristic
353#121×C89C2311yescharacteristic
354#121×C89C2311yescharacteristic
355C4×Q8×C89—21no—
356C4×Q8×C89—21no—
357C4×Q8×C89—21no—
358C4×Q8×C89—21no—
359C4×Q8×C89—21no—
360C4×Q8×C89C2311yescharacteristic
361C4×Q8×C89C2311yescharacteristic
362C4×Q8×C89C2311yescharacteristic
363C4×Q8×C89C2311yescharacteristic
364C4×Q8×C89C2311yescharacteristic
365C4×Q8×C89C2311yescharacteristic
366C4×Q8×C89C2311yescharacteristic
367C4×Q8×C89C2311yescharacteristic
368C4×Q8×C89C2311yescharacteristic
369C4×D4×C89—21no—
370C4×D4×C89—21no—
371C4×D4×C89—21no—
372C4×D4×C89—21no—
373C4×D4×C89—21no—
374C4×D4×C89—21no—
375C4×D4×C89—21no—
376C4×D4×C89—21no—
377C4×D4×C89—21no—
378C4×D4×C89C2311yescharacteristic
379C4×D4×C89C2311yescharacteristic
380C4×D4×C89C2311yescharacteristic
381C4×D4×C89C2311yescharacteristic
382C4×D4×C89C2311yescharacteristic
383C4×D4×C89C2311yescharacteristic
384C4×D4×C89C2311yescharacteristic
385#117×C89—21no—
386#117×C89—21no—
387#117×C89—21no—
388#117×C89—21no—
389#117×C89—21no—
390#117×C89—21no—
391#117×C89C2311yescharacteristic
392#117×C89C2311yescharacteristic
393#117×C89C2311yescharacteristic
394#117×C89C2311yescharacteristic
395#117×C89C2311yescharacteristic
396#117×C89C2311yescharacteristic
397C2×C4⋊C4×C89—21no—
398C2×C4⋊C4×C89—21no—
399C2×C4⋊C4×C89—21no—
400C2×C4⋊C4×C89—21no—
401C2×C4⋊C4×C89C2311yescharacteristic
402C2×C4⋊C4×C89C2311yescharacteristic
403C2×C42×C89C2311yescharacteristic
404#107×C89C2311yescharacteristic
405#107×C89C2311yescharacteristic
406#107×C89C2311yescharacteristic
407#107×C89C2311yescharacteristic
408#107×C89C2311yescharacteristic
409#107×C89C2311yescharacteristic
410#106×C89C2311yescharacteristic
411#106×C89C2311yescharacteristic
412#106×C89C2311yescharacteristic
413#106×C89C2311yescharacteristic
414#106×C89C2311yescharacteristic
415#106×C89C2311yescharacteristic
416C4⋊C8×C89C2311yescharacteristic
417C4⋊C8×C89C2311yescharacteristic
418C4⋊C8×C89C2311yescharacteristic
419C4⋊C8×C89C2311yescharacteristic
420C4⋊C8×C89C2311yescharacteristic
421C4⋊C8×C89C2311yescharacteristic
422#103×C89C2311yescharacteristic
423#103×C89C2311yescharacteristic
424#103×C89C2311yescharacteristic
425#103×C89C2311yescharacteristic
426#103×C89C2311yescharacteristic
427#103×C89C2311yescharacteristic
428#103×C89C2311yescharacteristic
429#103×C89C2311yescharacteristic
430#103×C89C2311yescharacteristic
431#103×C89C2311yescharacteristic
432#103×C89C2311yescharacteristic
433#103×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#103×C89C2311yescharacteristic
445#103×C89C2311yescharacteristic
446#103×C89C2311yescharacteristic
447#103×C89C2311yescharacteristic
448#103×C89C2311yescharacteristic
449#103×C89C2311yescharacteristic
450#103×C89C2311yescharacteristic
451#103×C89C2311yescharacteristic
452#103×C89C2311yescharacteristic
453#103×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
462C22⋊C8×C89C2311yescharacteristic
463C22⋊C8×C89C2311yescharacteristic
464C22⋊C8×C89C2311yescharacteristic
465C22⋊C8×C89C2311yescharacteristic
466C22⋊C8×C89C2311yescharacteristic
467C22⋊C8×C89C2311yescharacteristic
468#97×C89C2311yescharacteristic
469#97×C89C2311yescharacteristic
470#97×C89C2311yescharacteristic
471#97×C89C2311yescharacteristic
472#97×C89C2311yescharacteristic
473#97×C89C2311yescharacteristic
474C4×C8×C89C2311yescharacteristic
475C4×C8×C89C2311yescharacteristic
476C4×C8×C89C2311yescharacteristic
477C4×C8×C89C2311yescharacteristic
478#41×C89—41no—
479#41×C89—41no—
480#41×C89—41no—
481#41×C89—41no—
482C2×Q8×C89—21no—
483C2×Q8×C89—21no—
484C2×Q8×C89—21no—
485C2×Q8×C89—21no—
486C2×Q8×C89—21no—
487C2×Q8×C89—21no—
488C2×Q8×C89—21no—
489C2×Q8×C89—21no—
490C2×Q8×C89—41no—
491C2×Q8×C89—41no—
492C2×Q8×C89—41no—
493C2×Q8×C89—41no—
494C2×Q8×C89—41no—
495C2×Q8×C89—41no—
496C2×Q8×C89—41no—
497C2×Q8×C89—41no—
498C2×Q8×C89C2×D411yescharacteristic
499C2×Q8×C89C2411yescharacteristic
500C2×Q8×C89C2411yescharacteristic
501C2×Q8×C89C2411yescharacteristic
502C2×Q8×C89C2411yescharacteristic
503C2×Q8×C89C2411yescharacteristic
504C2×Q8×C89C2411yescharacteristic
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×C89C2×D411yescharacteristic
512C2×D4×C89C2×D411yescharacteristic
513C2×D4×C89C2×D411yescharacteristic
514C2×D4×C89C2411yescharacteristic
515C2×D4×C89C2411yescharacteristic
516C22×C4×C89—21no—
517C22×C4×C89—21no—
518C22×C4×C89—21no—
519C22×C4×C89—21no—
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×C89C2×D411yescharacteristic
529C22×C4×C89C2×D411yescharacteristic
530C22×C4×C89C2411yescharacteristic
531C22×C4×C89C2411yescharacteristic
532C22×C4×C89C2411yescharacteristic
533Q16×C89—41no—
534Q16×C89—41no—
535Q16×C89—41no—
536Q16×C89—41no—
537Q16×C89—41no—
538SD16×C89—41no—
539SD16×C89—41no—
540SD16×C89—41no—
541SD16×C89—41no—
542SD16×C89—41no—
543SD16×C89—41no—
544D8×C89—41no—
545M16×C89—41no—
546M16×C89—41no—
547M16×C89—41no—
548M16×C89—41no—
549C2×C8×C89—41no—
550C2×C8×C89—41no—
551C2×C8×C89C2411yescharacteristic
552C2×C8×C89C2411yescharacteristic
553C2×C8×C89C2411yescharacteristic
554C2×C8×C89C2411yescharacteristic
555C2×C8×C89C2411yescharacteristic
556C2×C8×C89C2411yescharacteristic
557C2×C8×C89C2411yescharacteristic
558C2×C8×C89C2411yescharacteristic
559C4⋊C4×C89—21no—
560C4⋊C4×C89—21no—
561C4⋊C4×C89—21no—
562C4⋊C4×C89—21no—
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×C89—21no—
597C4⋊C4×C89—21no—
598C4⋊C4×C89—21no—
599C4⋊C4×C89—21no—
600C4⋊C4×C89—21no—
601C4⋊C4×C89—21no—
602C4⋊C4×C89—21no—
603C4⋊C4×C89—21no—
604C4⋊C4×C89—21no—
605C4⋊C4×C89C2×D411yescharacteristic
606C4⋊C4×C89C2×D411yescharacteristic
607C4⋊C4×C89C2×D411yescharacteristic
608C4⋊C4×C89C2×D411yescharacteristic
609C4⋊C4×C89C2×D411yescharacteristic
610C4⋊C4×C89C2×D411yescharacteristic
611C4⋊C4×C89C2×D411yescharacteristic
612C4⋊C4×C89C2×D411yescharacteristic
613C4⋊C4×C89C2×D411yescharacteristic
614C4⋊C4×C89C2×D411yescharacteristic
615C4⋊C4×C89C2411yescharacteristic
616C4⋊C4×C89C2411yescharacteristic
617C4⋊C4×C89C2411yescharacteristic
618C4⋊C4×C89C2411yescharacteristic
619C4⋊C4×C89C2411yescharacteristic
620C4⋊C4×C89C2411yescharacteristic
621C4⋊C4×C89C2411yescharacteristic
622C4⋊C4×C89C2411yescharacteristic
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×C89—21no—
645C22⋊C4×C89—21no—
646C22⋊C4×C89—21no—
647C22⋊C4×C89—21no—
648C22⋊C4×C89—21no—
649C22⋊C4×C89—21no—
650C22⋊C4×C89—21no—
651C22⋊C4×C89C2×D411yescharacteristic
652C22⋊C4×C89C2×D411yescharacteristic
653C22⋊C4×C89C2×D411yescharacteristic
654C22⋊C4×C89C2×D411yescharacteristic
655C22⋊C4×C89C2×D411yescharacteristic
656C22⋊C4×C89C2×D411yescharacteristic
657C22⋊C4×C89C2×D411yescharacteristic
658C22⋊C4×C89C2×D411yescharacteristic
659C22⋊C4×C89C2×D411yescharacteristic
660C22⋊C4×C89C2×D411yescharacteristic
661C42×C89—21no—
662C42×C89—21no—
663C42×C89—21no—
664C42×C89—21no—
665C42×C89—21no—
666C42×C89—21no—
667C42×C89—21no—
668C42×C89—21no—
669C42×C89—21no—
670C42×C89—21no—
671C42×C89—21no—
672C42×C89—21no—
673C42×C89C2×D411yescharacteristic
674C42×C89C2×D411yescharacteristic
675C42×C89C2411yescharacteristic
676C42×C89C2411yescharacteristic
677C42×C89C2411yescharacteristic
678C42×C89C2411yescharacteristic
679C23×C89—21no—
680C23×C89—21no—
681C23×C89C22×D411yescharacteristic
682C23×C89C22×D411yescharacteristic
683C23×C89C22×D411yescharacteristic
684Q8×C89—21no—
685Q8×C89—21no—
686Q8×C89—21no—
687Q8×C89—21no—
688Q8×C89—21no—
689Q8×C89—21no—
690Q8×C89—21no—
691Q8×C89—21no—
692Q8×C89—21no—
693Q8×C89—21no—
694Q8×C89—21no—
695Q8×C89—21no—
696Q8×C89—41no—
697Q8×C89—81no—
698Q8×C89—81no—
699Q8×C89—81no—
700Q8×C89—81no—
701Q8×C89—81no—
702Q8×C89—81no—
703Q8×C89—81no—
704Q8×C89—81no—
705D4×C89—21no—
706D4×C89—21no—
707D4×C89—21no—
708D4×C89—21no—
709D4×C89—41no—
710D4×C89—41no—
711D4×C89—41no—
712D4×C89—42no—
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—21no—
737C2×C4×C89—21no—
738C2×C4×C89—41no—
739C2×C4×C89—41no—
740C2×C4×C89—42no—
741C2×C4×C89—81no—
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×C89C22×D411yescharacteristic
753C2×C4×C89C22×D411yescharacteristic
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×C89C2511yescharacteristic
764C8×C89—21no—
765C8×C89—21no—
766C8×C89—21no—
767C8×C89—21no—
768C8×C89—21no—
769C8×C89—21no—
770C8×C89—21no—
771C8×C89—21no—
772C22×C89—21no—
773C22×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—41no—
782C22×C89—41no—
783C22×C89—41no—
784C22×C89—41no—
785C22×C89—41no—
786C22×C89—41no—
787C22×C89C23×D411yescharacteristic
788C4×C89—21no—
789C4×C89—21no—
790C4×C89—21no—
791C4×C89—21no—
792C4×C89—21no—
793C4×C89—21no—
794C4×C89—21no—
795C4×C89—21no—
796C4×C89—21no—
797C4×C89—21no—
798C4×C89—21no—
799C4×C89—41no—
800C4×C89—41no—
801C4×C89—41no—
802C4×C89—41no—
803C4×C89—41no—
804C4×C89—41no—
805C4×C89—41no—
806C4×C89—41no—
807C4×C89—41no—
808C4×C89—41no—
809C4×C89—41no—
810C4×C89—41no—
811C4×C89—41no—
812C4×C89—41no—
813C4×C89#58511yescharacteristic
814C4×C89#58511yescharacteristic
815#62565C8911yesmaximal, characteristic, direct product factor, Sylow
816C2×C89—41no—
817C2×C89—41no—
818C2×C89—41no—
819C2×C89—81no—
820C2×C89—81no—
821C2×C89#350011yescharacteristic
822C2×C89#358611yescharacteristic
823C2×C89#358611yescharacteristic
824#3565C2×C8911yescharacteristic, complemented
825#3552C2×C8911yescharacteristic, complemented
826#3377C2×C8911yescharacteristic, complemented
827#3376C2×C8911yescharacteristic, complemented
828#3374C2×C8911yescharacteristic, complemented
829#3372C2×C8911yescharacteristic, complemented
830#3329C2×C8911yescharacteristic, complemented
831#3328C2×C8911yescharacteristic, complemented
832#3327C2×C8911yescharacteristic, complemented
833#3326C2×C8911yescharacteristic, complemented
834#3321C2×C8911yescharacteristic, complemented
835#3320C2×C8911yescharacteristic, complemented
836#3320C2×C8911yescharacteristic, complemented
837#3315C2×C8911yescharacteristic, complemented
838#3313C2×C8911yescharacteristic, complemented
839#3312C2×C8911yescharacteristic, complemented
840#3312C2×C8911yescharacteristic, complemented
841#3307C2×C8911yescharacteristic, complemented
842#3242C2×C8911yescharacteristic, complemented
843#3242C2×C8911yescharacteristic, complemented
844#3240C2×C8911yescharacteristic, complemented
845#3225C2×C8911yescharacteristic, complemented
846#3225C2×C8911yescharacteristic, complemented
847#3218C2×C8911yescharacteristic, complemented
848#3183C2×C8911yescharacteristic, complemented
849#3178C2×C8911yescharacteristic, complemented
850#3178C2×C8911yescharacteristic, complemented
851#3139C2×C8911yescharacteristic, complemented
852#3137C2×C8911yescharacteristic, complemented
853#3137C2×C8911yescharacteristic, complemented
854#2967C2×C8911yescharacteristic, complemented
855C89#6256511yescharacteristic, direct product factor, Sylow
856#563—21no—
857#563—21no—
858#563—21no—
859#562—21no—
860#557C22×C8911yescharacteristic
861#557C22×C8911yescharacteristic
862#556—21no—
863#556C22×C8911yescharacteristic
864#556C22×C8911yescharacteristic
865#555C22×C8911yescharacteristic
866#554—21no—
867#554C22×C8911yescharacteristic
868#553—21no—
869#553C22×C8911yescharacteristic
870#553C22×C8911yescharacteristic
871#552—21no—
872#552C22×C8911yescharacteristic
873#552C22×C8911yescharacteristic
874D4×Q8C22×C8911yescharacteristic
875D4×Q8C22×C8911yescharacteristic
876D4×Q8C22×C8911yescharacteristic
877#548C22×C8911yescharacteristic
878#548C22×C8911yescharacteristic
879#547C22×C8911yescharacteristic
880#544—21no—
881#544C22×C8911yescharacteristic
882#544C22×C8911yescharacteristic
883#542—21no—
884#542—21no—
885#542—21no—
886#542C22×C8911yescharacteristic
887#542C22×C8911yescharacteristic
888#541—21no—
889#541C22×C8911yescharacteristic
890#541C22×C8911yescharacteristic
891#539—21no—
892#539—21no—
893#539—21no—
894#536C22×C8911yescharacteristic
895#536C22×C8911yescharacteristic
896#533C22×C8911yescharacteristic
897C2×C4⋊Q8C22×C8911yescharacteristic
898#529C22×C8911yescharacteristic
899#529C22×C8911yescharacteristic
900#529C22×C8911yescharacteristic
901#501C22×C8911yescharacteristic
902#501C22×C8911yescharacteristic
903#499C22×C8911yescharacteristic
904#497C22×C8911yescharacteristic
905#497C22×C8911yescharacteristic
906#495C22×C8911yescharacteristic
907#491C22×C8911yescharacteristic
908#491C22×C8911yescharacteristic
909#491C22×C8911yescharacteristic
910#491C22×C8911yescharacteristic
911#491C22×C8911yescharacteristic
912#491C22×C8911yescharacteristic
913#491C22×C8911yescharacteristic
914#491C22×C8911yescharacteristic
915#489C22×C8911yescharacteristic
916#489C22×C8911yescharacteristic
917#489C22×C8911yescharacteristic
918#489C22×C8911yescharacteristic
919#488C22×C8911yescharacteristic
920#488C22×C8911yescharacteristic
921#488C22×C8911yescharacteristic
922#488C22×C8911yescharacteristic
923#487C22×C8911yescharacteristic
924#487C22×C8911yescharacteristic
925#487C22×C8911yescharacteristic
926#487C22×C8911yescharacteristic
927#487C22×C8911yescharacteristic
928#487C22×C8911yescharacteristic
929#485C22×C8911yescharacteristic
930#485C22×C8911yescharacteristic
931#485C22×C8911yescharacteristic
932#485C22×C8911yescharacteristic
933#485C22×C8911yescharacteristic
934#485C22×C8911yescharacteristic
935#484C22×C8911yescharacteristic
936#484C22×C8911yescharacteristic
937#483C22×C8911yescharacteristic
938#483C22×C8911yescharacteristic
939#482C22×C8911yescharacteristic
940#482C22×C8911yescharacteristic
941#479C22×C8911yescharacteristic
942#479C22×C8911yescharacteristic
943#479C22×C8911yescharacteristic
944#479C22×C8911yescharacteristic
945#479C22×C8911yescharacteristic
946#479C22×C8911yescharacteristic
947#478C22×C8911yescharacteristic
948#478C22×C8911yescharacteristic
949#477C22×C8911yescharacteristic
950#477C22×C8911yescharacteristic
951#475C22×C8911yescharacteristic
952#475C22×C8911yescharacteristic
953#470C22×C8911yescharacteristic
954#470C22×C8911yescharacteristic
955#470C22×C8911yescharacteristic
956#469C22×C8911yescharacteristic
957#468C22×C8911yescharacteristic
958#468C22×C8911yescharacteristic
959#468C22×C8911yescharacteristic
960#468C22×C8911yescharacteristic
961#467C22×C8911yescharacteristic
962#467C22×C8911yescharacteristic
963#465C22×C8911yescharacteristic
964#465C22×C8911yescharacteristic
965#464C22×C8911yescharacteristic
966#464C22×C8911yescharacteristic
967#463C22×C8911yescharacteristic
968#463C22×C8911yescharacteristic
969#462C22×C8911yescharacteristic
970#462C22×C8911yescharacteristic
971#462C22×C8911yescharacteristic
972#462C22×C8911yescharacteristic
973#461C22×C8911yescharacteristic
974#461C22×C8911yescharacteristic
975#461C22×C8911yescharacteristic
976#461C22×C8911yescharacteristic
977#452C22×C8911yescharacteristic
978#452C22×C8911yescharacteristic
979#451C22×C8911yescharacteristic
980#451C22×C8911yescharacteristic
981#451C22×C8911yescharacteristic
982#451C22×C8911yescharacteristic
983#449C22×C8911yescharacteristic
984#449C22×C8911yescharacteristic
985#448C22×C8911yescharacteristic
986#448C22×C8911yescharacteristic
987#448C22×C8911yescharacteristic
988#448C22×C8911yescharacteristic
989#446C22×C8911yescharacteristic
990#446C22×C8911yescharacteristic
991#442C22×C8911yescharacteristic
992#441C22×C8911yescharacteristic
993#441C22×C8911yescharacteristic
994#441C22×C8911yescharacteristic
995#440C22×C8911yescharacteristic
996#440C22×C8911yescharacteristic
997#440C22×C8911yescharacteristic
998#440C22×C8911yescharacteristic
999C4×Q16C22×C8911yescharacteristic
1000C4×Q16C22×C8911yescharacteristic
1001C4×SD16C22×C8911yescharacteristic
1002C4×SD16C22×C8911yescharacteristic
1003#436C22×C8911yescharacteristic
1004#436C22×C8911yescharacteristic
1005#435C22×C8911yescharacteristic
1006#435C22×C8911yescharacteristic
1007#435C22×C8911yescharacteristic
1008#435C22×C8911yescharacteristic
1009#433C22×C8911yescharacteristic
1010#433C22×C8911yescharacteristic
1011#432C22×C8911yescharacteristic
1012#419C22×C8911yescharacteristic
1013#419C22×C8911yescharacteristic
1014#419C22×C8911yescharacteristic
1015#419C22×C8911yescharacteristic
1016#419C22×C8911yescharacteristic
1017#419C22×C8911yescharacteristic
1018#417C22×C8911yescharacteristic
1019#417C22×C8911yescharacteristic
1020#416C22×C8911yescharacteristic
1021#416C22×C8911yescharacteristic
1022C2×#103C22×C8911yescharacteristic
1023C2×#103C22×C8911yescharacteristic
1024#405C22×C8911yescharacteristic
1025#405C22×C8911yescharacteristic
1026C4×M16C22×C8911yescharacteristic
1027C2×#41C23×C8911yescharacteristic
1028C2×#41C23×C8911yescharacteristic
1029C22×Q8C23×C8911yescharacteristic
1030C22×Q8C23×C8911yescharacteristic
1031C22×Q8C23×C8911yescharacteristic
1032C22×Q8C23×C8911yescharacteristic
1033C2×Q16C23×C8911yescharacteristic
1034C2×Q16C23×C8911yescharacteristic
1035C2×Q16C23×C8911yescharacteristic
1036C2×Q16C23×C8911yescharacteristic
1037C2×Q16C23×C8911yescharacteristic
1038C2×SD16C23×C8911yescharacteristic
1039C2×SD16C23×C8911yescharacteristic
1040C2×SD16C23×C8911yescharacteristic
1041C2×SD16C23×C8911yescharacteristic
1042C2×SD16C23×C8911yescharacteristic
1043C2×SD16C23×C8911yescharacteristic
1044C2×D8C23×C8911yescharacteristic
1045C2×M16C23×C8911yescharacteristic
1046C2×M16C23×C8911yescharacteristic
1047C2×M16C23×C8911yescharacteristic
1048C2×M16C23×C8911yescharacteristic
1049C22×C8C23×C8911yescharacteristic
1050C22×C8C23×C8911yescharacteristic
1051C4⋊Q8—21no—
1052C4⋊Q8—21no—
1053C4⋊Q8—21no—
1054C4⋊Q8—21no—
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
1064C4⋊Q8C23×C8911yescharacteristic
1065C4⋊Q8C23×C8911yescharacteristic
1066C4⋊Q8C23×C8911yescharacteristic
1067C4⋊Q8C23×C8911yescharacteristic
1068C4⋊Q8C23×C8911yescharacteristic
1069#126—21no—
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#126—21no—
1082#126—21no—
1083#126—21no—
1084#126—21no—
1085#126D4×C8911yescharacteristic
1086#126D4×C8911yescharacteristic
1087#125—21no—
1088#125—21no—
1089#125—21no—
1090#125—21no—
1091#125—21no—
1092#125—21no—
1093#125—21no—
1094#125—21no—
1095#125—21no—
1096#125—21no—
1097#125—21no—
1098#125—21no—
1099#125—21no—
1100#125D4×C8911yescharacteristic
1101#125C23×C8911yescharacteristic
1102#125C23×C8911yescharacteristic
1103#125C23×C8911yescharacteristic
1104#125C23×C8911yescharacteristic
1105#125C23×C8911yescharacteristic
1106#125C23×C8911yescharacteristic
1107#124—21no—
1108#124—21no—
1109#124—21no—
1110#124—21no—
1111#124—21no—
1112#124—21no—
1113#124—21no—
1114#124D4×C8911yescharacteristic
1115#124C23×C8911yescharacteristic
1116#124C23×C8911yescharacteristic
1117#124C23×C8911yescharacteristic
1118#124C23×C8911yescharacteristic
1119#123—21no—
1120#123—21no—
1121#123—21no—
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123D4×C8911yescharacteristic
1134#123D4×C8911yescharacteristic
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8—21no—
1145C22⋊Q8—21no—
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—21no—
1158C22⋊Q8—21no—
1159C22⋊Q8D4×C8911yescharacteristic
1160C22⋊Q8C23×C8911yescharacteristic
1161C22⋊Q8C23×C8911yescharacteristic
1162C22⋊Q8C23×C8911yescharacteristic
1163C22⋊Q8C23×C8911yescharacteristic
1164C22⋊Q8C23×C8911yescharacteristic
1165C22⋊Q8C23×C8911yescharacteristic
1166C22⋊Q8C23×C8911yescharacteristic
1167C22⋊Q8C23×C8911yescharacteristic
1168#121—21no—
1169#121—21no—
1170#121—21no—
1171#121—21no—
1172#121—21no—
1173#121—21no—
1174#121D4×C8911yescharacteristic
1175#121C23×C8911yescharacteristic
1176#121C23×C8911yescharacteristic
1177#121C23×C8911yescharacteristic
1178#121C23×C8911yescharacteristic
1179C4×Q8—21no—
1180C4×Q8—21no—
1181C4×Q8—21no—
1182C4×Q8—21no—
1183C4×Q8—21no—
1184C4×Q8C23×C8911yescharacteristic
1185C4×Q8C23×C8911yescharacteristic
1186C4×Q8C23×C8911yescharacteristic
1187C4×Q8C23×C8911yescharacteristic
1188C4×Q8C23×C8911yescharacteristic
1189C4×Q8C23×C8911yescharacteristic
1190C4×Q8C23×C8911yescharacteristic
1191C4×Q8C23×C8911yescharacteristic
1192C4×Q8C23×C8911yescharacteristic
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—21no—
1200C4×D4—21no—
1201C4×D4—21no—
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#117C23×C8911yescharacteristic
1216#117C23×C8911yescharacteristic
1217#117C23×C8911yescharacteristic
1218#117C23×C8911yescharacteristic
1219#117C23×C8911yescharacteristic
1220#117C23×C8911yescharacteristic
1221C2×C4⋊C4—21no—
1222C2×C4⋊C4—21no—
1223C2×C4⋊C4—21no—
1224C2×C4⋊C4—21no—
1225C2×C4⋊C4C23×C8911yescharacteristic
1226C2×C4⋊C4C23×C8911yescharacteristic
1227C2×C42C23×C8911yescharacteristic
1228#107C23×C8911yescharacteristic
1229#107C23×C8911yescharacteristic
1230#107C23×C8911yescharacteristic
1231#107C23×C8911yescharacteristic
1232#107C23×C8911yescharacteristic
1233#107C23×C8911yescharacteristic
1234#106C23×C8911yescharacteristic
1235#106C23×C8911yescharacteristic
1236#106C23×C8911yescharacteristic
1237#106C23×C8911yescharacteristic
1238#106C23×C8911yescharacteristic
1239#106C23×C8911yescharacteristic
1240C4⋊C8C23×C8911yescharacteristic
1241C4⋊C8C23×C8911yescharacteristic
1242C4⋊C8C23×C8911yescharacteristic
1243C4⋊C8C23×C8911yescharacteristic
1244C4⋊C8C23×C8911yescharacteristic
1245C4⋊C8C23×C8911yescharacteristic
1246#103C23×C8911yescharacteristic
1247#103C23×C8911yescharacteristic
1248#103C23×C8911yescharacteristic
1249#103C23×C8911yescharacteristic
1250#103C23×C8911yescharacteristic
1251#103C23×C8911yescharacteristic
1252#103C23×C8911yescharacteristic
1253#103C23×C8911yescharacteristic
1254#103C23×C8911yescharacteristic
1255#103C23×C8911yescharacteristic
1256#103C23×C8911yescharacteristic
1257#103C23×C8911yescharacteristic
1258#103C23×C8911yescharacteristic
1259#103C23×C8911yescharacteristic
1260#103C23×C8911yescharacteristic
1261#103C23×C8911yescharacteristic
1262#103C23×C8911yescharacteristic
1263#103C23×C8911yescharacteristic
1264#103C23×C8911yescharacteristic
1265#103C23×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#103C23×C8911yescharacteristic
1277#103C23×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
1286C22⋊C8C23×C8911yescharacteristic
1287C22⋊C8C23×C8911yescharacteristic
1288C22⋊C8C23×C8911yescharacteristic
1289C22⋊C8C23×C8911yescharacteristic
1290C22⋊C8C23×C8911yescharacteristic
1291C22⋊C8C23×C8911yescharacteristic
1292#97C23×C8911yescharacteristic
1293#97C23×C8911yescharacteristic
1294#97C23×C8911yescharacteristic
1295#97C23×C8911yescharacteristic
1296#97C23×C8911yescharacteristic
1297#97C23×C8911yescharacteristic
1298C4×C8C23×C8911yescharacteristic
1299C4×C8C23×C8911yescharacteristic
1300C4×C8C23×C8911yescharacteristic
1301C4×C8C23×C8911yescharacteristic
1302#41—41no—
1303#41—41no—
1304#41—41no—
1305#41—41no—
1306C2×Q8—21no—
1307C2×Q8—21no—
1308C2×Q8—21no—
1309C2×Q8—21no—
1310C2×Q8—21no—
1311C2×Q8—21no—
1312C2×Q8—21no—
1313C2×Q8—21no—
1314C2×Q8—41no—
1315C2×Q8—41no—
1316C2×Q8—41no—
1317C2×Q8—41no—
1318C2×Q8—41no—
1319C2×Q8—41no—
1320C2×Q8—41no—
1321C2×Q8—41no—
1322C2×Q8C2×D4×C8911yescharacteristic
1323C2×Q8C24×C8911yescharacteristic
1324C2×Q8C24×C8911yescharacteristic
1325C2×Q8C24×C8911yescharacteristic
1326C2×Q8C24×C8911yescharacteristic
1327C2×Q8C24×C8911yescharacteristic
1328C2×Q8C24×C8911yescharacteristic
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4C2×D4×C8911yescharacteristic
1336C2×D4C2×D4×C8911yescharacteristic
1337C2×D4C2×D4×C8911yescharacteristic
1338C2×D4C24×C8911yescharacteristic
1339C2×D4C24×C8911yescharacteristic
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—21no—
1346C22×C4—21no—
1347C22×C4—21no—
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4C2×D4×C8911yescharacteristic
1353C22×C4C2×D4×C8911yescharacteristic
1354C22×C4C24×C8911yescharacteristic
1355C22×C4C24×C8911yescharacteristic
1356C22×C4C24×C8911yescharacteristic
1357Q16—41no—
1358Q16—41no—
1359Q16—41no—
1360Q16—41no—
1361Q16—41no—
1362SD16—41no—
1363SD16—41no—
1364SD16—41no—
1365SD16—41no—
1366SD16—41no—
1367SD16—41no—
1368D8—41no—
1369M16—41no—
1370M16—41no—
1371M16—41no—
1372M16—41no—
1373C2×C8—41no—
1374C2×C8—41no—
1375C2×C8C24×C8911yescharacteristic
1376C2×C8C24×C8911yescharacteristic
1377C2×C8C24×C8911yescharacteristic
1378C2×C8C24×C8911yescharacteristic
1379C2×C8C24×C8911yescharacteristic
1380C2×C8C24×C8911yescharacteristic
1381C2×C8C24×C8911yescharacteristic
1382C2×C8C24×C8911yescharacteristic
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—21no—
1393C4⋊C4—21no—
1394C4⋊C4—21no—
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⋊C4—21no—
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⋊C4C2×D4×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
1447C22⋊C4—21no—
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⋊C4C2×D4×C8911yescharacteristic
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
1485C42—21no—
1486C42—21no—
1487C42—21no—
1488C42—21no—
1489C42—21no—
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—21no—
1497C42C2×D4×C8911yescharacteristic
1498C42C2×D4×C8911yescharacteristic
1499C42C24×C8911yescharacteristic
1500C42C24×C8911yescharacteristic
1501C42C24×C8911yescharacteristic
1502C42C24×C8911yescharacteristic
1503C23—21no—
1504C23—21no—
1505C23C22×D4×C8911yescharacteristic
1506C23C22×D4×C8911yescharacteristic
1507C23C22×D4×C8911yescharacteristic
1508Q8—21no—
1509Q8—21no—
1510Q8—21no—
1511Q8—21no—
1512Q8—21no—
1513Q8—21no—
1514Q8—21no—
1515Q8—21no—
1516Q8—21no—
1517Q8—21no—
1518Q8—21no—
1519Q8—21no—
1520Q8—41no—
1521Q8—81no—
1522Q8—81no—
1523Q8—81no—
1524Q8—81no—
1525Q8—81no—
1526Q8—81no—
1527Q8—81no—
1528Q8—81no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—41no—
1534D4—41no—
1535D4—41no—
1536D4—42no—
1537D4—81no—
1538D4—81no—
1539D4—81no—
1540D4—81no—
1541D4—81no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
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—41no—
1563C2×C4—41no—
1564C2×C4—42no—
1565C2×C4—81no—
1566C2×C4—81no—
1567C2×C4—81no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—81no—
1571C2×C4—81no—
1572C2×C4—81no—
1573C2×C4—81no—
1574C2×C4—81no—
1575C2×C4—81no—
1576C2×C4C22×D4×C8911yescharacteristic
1577C2×C4C22×D4×C8911yescharacteristic
1578C2×C4C22×D4×C8911yescharacteristic
1579C2×C4C22×D4×C8911yescharacteristic
1580C2×C4C22×D4×C8911yescharacteristic
1581C2×C4C22×D4×C8911yescharacteristic
1582C2×C4C22×D4×C8911yescharacteristic
1583C2×C4C22×D4×C8911yescharacteristic
1584C2×C4C22×D4×C8911yescharacteristic
1585C2×C4C22×D4×C8911yescharacteristic
1586C2×C4C22×D4×C8911yescharacteristic
1587C2×C4C25×C8911yescharacteristic
1588C8—21no—
1589C8—21no—
1590C8—21no—
1591C8—21no—
1592C8—21no—
1593C8—21no—
1594C8—21no—
1595C8—21no—
1596C22—21no—
1597C22—21no—
1598C22—21no—
1599C22—21no—
1600C22—21no—
1601C22—21no—
1602C22—21no—
1603C22—21no—
1604C22—21no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22C23×D4×C8911yescharacteristic
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—21no—
1618C4—21no—
1619C4—21no—
1620C4—21no—
1621C4—21no—
1622C4—21no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4#585×C8911yescharacteristic
1638C4#585×C8911yescharacteristic
1639C2—41no—
1640C2—41no—
1641C2—41no—
1642C2—81no—
1643C2—81no—
1644C2C89×#350011yescharacteristic
1645C2C89×#358611yescharacteristic
1646C2C89×#358611yescharacteristic
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×#3552C2semidirect
3. C89×#3377C2semidirect
4. C89×#3376C2semidirect
5. C89×#3374C2semidirect
6. C89×#3372C2semidirect
7. C89×#3329C2semidirect
8. C89×#3328C2semidirect
9. C89×#3327C2semidirect
10. C89×#3326C2semidirect
11. C89×#3321C2semidirect
12. C89×#3320C2semidirect
13. C89×#3320C2semidirect
14. C89×#3315C2semidirect
15. C89×#3313C2semidirect
16. C89×#3312C2semidirect
17. C89×#3312C2semidirect
18. C89×#3307C2semidirect
19. C89×#3242C2semidirect
20. C89×#3242C2semidirect
21. C89×#3240C2semidirect
22. C89×#3225C2semidirect
23. C89×#3225C2semidirect
24. C89×#3218C2semidirect
25. C89×#3183C2semidirect
26. C89×#3178C2semidirect
27. C89×#3178C2semidirect
28. C89×#3139C2semidirect
29. C89×#3137C2semidirect
30. C89×#3137C2semidirect
31. C89×#2967C2semidirect
815. #62565C89direct (N × H)
824. #3565C2×C89semidirect
825. #3552C2×C89semidirect
826. #3377C2×C89semidirect
827. #3376C2×C89semidirect
828. #3374C2×C89semidirect
829. #3372C2×C89semidirect
830. #3329C2×C89semidirect
831. #3328C2×C89semidirect
832. #3327C2×C89semidirect
833. #3326C2×C89semidirect
834. #3321C2×C89semidirect
835. #3320C2×C89semidirect
836. #3320C2×C89semidirect
837. #3315C2×C89semidirect
838. #3313C2×C89semidirect
839. #3312C2×C89semidirect
840. #3312C2×C89semidirect
841. #3307C2×C89semidirect
842. #3242C2×C89semidirect
843. #3242C2×C89semidirect
844. #3240C2×C89semidirect
845. #3225C2×C89semidirect
846. #3225C2×C89semidirect
847. #3218C2×C89semidirect
848. #3183C2×C89semidirect
849. #3178C2×C89semidirect
850. #3178C2×C89semidirect
851. #3139C2×C89semidirect
852. #3137C2×C89semidirect
853. #3137C2×C89semidirect
854. #2967C2×C89semidirect
855. C89#62565direct (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×#35522
C89×#33772
C89×#33762
C89×#33742
C89×#33722
C89×#33292
C89×#33282
C89×#33272
C89×#33262
C89×#33212
C89×#33202
C89×#33152
C89×#33132
C89×#33122
C89×#33072
C89×#32422
C89×#32402
C89×#32252
C89×#32182
C89×#31832
C89×#31782
C89×#31392
C89×#31372
C89×#29672
#6256589