Finite Group Databasebeta

← C89×#62607 #36440455

Subgroups — C89×#62607 #36440455

Order 22784.

1730 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3565C211yesmaximal, characteristic, complemented
2C89×#3546C211yesmaximal, characteristic, complemented
3C89×#3377C211yesmaximal, characteristic, complemented
4C89×#3376C211yesmaximal, characteristic, complemented
5C89×#3368C211yesmaximal, characteristic, complemented
6C89×#3366C211yesmaximal, characteristic, complemented
7C89×#3319C211yesmaximal, characteristic, complemented
8C89×#3318C211yesmaximal, characteristic, complemented
9C89×#3317C211yesmaximal, characteristic, complemented
10C89×#3315C211yesmaximal, characteristic, complemented
11C89×#3311C211yesmaximal, characteristic, complemented
12C89×#3310C211yesmaximal, characteristic, complemented
13C89×#3309C211yesmaximal, characteristic, complemented
14C89×#3307C211yesmaximal, characteristic, complemented
15C89×#3305C211yesmaximal, characteristic, complemented
16C89×#3304C211yesmaximal, characteristic, complemented
17C89×#3297C211yesmaximal, characteristic, complemented
18C89×#3296C211yesmaximal, characteristic, complemented
19C89×#3244C211yesmaximal, characteristic, complemented
20C89×#3243C211yesmaximal, characteristic, complemented
21C89×#3228C211yesmaximal, characteristic, complemented
22C89×#3224C211yesmaximal, characteristic, complemented
23C89×#3224C211yesmaximal, characteristic, complemented
24C89×#3212C211yesmaximal, characteristic, complemented
25C89×#3180C211yesmaximal, characteristic, complemented
26C89×#3175C211yesmaximal, characteristic, complemented
27C89×#3173C211yesmaximal, characteristic, complemented
28C89×#3136C211yesmaximal, characteristic, complemented
29C89×#3136C211yesmaximal, characteristic, complemented
30C89×#3135C211yesmaximal, characteristic, complemented
31C89×#2968C211yesmaximal, characteristic, complemented
32#563×C89—21no—
33#562×C89—21no—
34#560×C89—21no—
35#560×C89—21no—
36#557×C89C2211yescharacteristic, complemented
37#556×C89—21no—
38#556×C89C2211yescharacteristic
39#556×C89C2211yescharacteristic, complemented
40#555×C89C2211yescharacteristic, complemented
41#554×C89C2211yescharacteristic, complemented
42#553×C89—21no—
43#553×C89C2211yescharacteristic
44#553×C89C2211yescharacteristic, complemented
45#552×C89—21no—
46#552×C89C2211yescharacteristic
47#552×C89C2211yescharacteristic, complemented
48#550×C89C2211yescharacteristic
49#550×C89C2211yescharacteristic
50#550×C89C2211yescharacteristic
51#547×C89C2211yescharacteristic
52#546×C89—21no—
53#546×C89C2211yescharacteristic
54#546×C89C2211yescharacteristic
55D42×C89C2211yescharacteristic
56#544×C89C2211yescharacteristic, complemented
57#544×C89C2211yescharacteristic, complemented
58#542×C89—21no—
59#542×C89—21no—
60#542×C89C2211yescharacteristic
61#542×C89C2211yescharacteristic
62#542×C89C2211yescharacteristic, complemented
63#542×C89C2211yescharacteristic, complemented
64#541×C89—21no—
65#539×C89—21no—
66#538×C89—21no—
67#538×C89—21no—
68#537×C89—21no—
69#535×C89—21no—
70#535×C89C2211yescharacteristic
71#535×C89C2211yescharacteristic
72#533×C89C2211yescharacteristic, complemented
73#532×C89C2211yescharacteristic
74#532×C89C2211yescharacteristic
75#529×C89C2211yescharacteristic
76#529×C89C2211yescharacteristic, complemented
77#501×C89C2211yescharacteristic, complemented
78#500×C89C2211yescharacteristic, complemented
79#498×C89C2211yescharacteristic, complemented
80#496×C89C2211yescharacteristic
81#495×C89C2211yescharacteristic, complemented
82#495×C89C2211yescharacteristic, complemented
83#491×C89C2211yescharacteristic, complemented
84#491×C89C2211yescharacteristic, complemented
85#490×C89C2211yescharacteristic
86#490×C89C2211yescharacteristic
87#490×C89C2211yescharacteristic
88#490×C89C2211yescharacteristic, complemented
89#490×C89C2211yescharacteristic, complemented
90#489×C89C2211yescharacteristic
91#489×C89C2211yescharacteristic
92#489×C89C2211yescharacteristic, complemented
93#489×C89C2211yescharacteristic, complemented
94#489×C89C2211yescharacteristic, complemented
95#489×C89C2211yescharacteristic, complemented
96#489×C89C2211yescharacteristic, complemented
97#488×C89C2211yescharacteristic
98#488×C89C2211yescharacteristic
99#488×C89C2211yescharacteristic, complemented
100#488×C89C2211yescharacteristic, complemented
101#486×C89C2211yescharacteristic
102#486×C89C2211yescharacteristic
103#486×C89C2211yescharacteristic, complemented
104#486×C89C2211yescharacteristic, complemented
105#485×C89C2211yescharacteristic, complemented
106#485×C89C2211yescharacteristic, complemented
107#484×C89C2211yescharacteristic, complemented
108#483×C89C2211yescharacteristic, complemented
109#482×C89C2211yescharacteristic
110#482×C89C2211yescharacteristic
111#482×C89C2211yescharacteristic
112#482×C89C2211yescharacteristic
113#482×C89C2211yescharacteristic, complemented
114#482×C89C2211yescharacteristic, complemented
115#481×C89C2211yescharacteristic
116#480×C89C2211yescharacteristic
117#479×C89C2211yescharacteristic, complemented
118#479×C89C2211yescharacteristic, complemented
119#478×C89C2211yescharacteristic
120#478×C89C2211yescharacteristic
121#478×C89C2211yescharacteristic, complemented
122#478×C89C2211yescharacteristic, complemented
123#478×C89C2211yescharacteristic, complemented
124#478×C89C2211yescharacteristic, complemented
125#477×C89C2211yescharacteristic, complemented
126#476×C89C2211yescharacteristic, complemented
127#475×C89C2211yescharacteristic, complemented
128#474×C89C2211yescharacteristic, complemented
129#470×C89C2211yescharacteristic, complemented
130#469×C89C2211yescharacteristic
131#468×C89C2211yescharacteristic
132#468×C89C2211yescharacteristic, complemented
133#467×C89C2211yescharacteristic, complemented
134#466×C89C2211yescharacteristic
135#466×C89C2211yescharacteristic
136#466×C89C2211yescharacteristic, complemented
137#465×C89C2211yescharacteristic
138#465×C89C2211yescharacteristic
139#465×C89C2211yescharacteristic, complemented
140#465×C89C2211yescharacteristic, complemented
141#464×C89C2211yescharacteristic
142#464×C89C2211yescharacteristic
143#463×C89C2211yescharacteristic
144#463×C89C2211yescharacteristic
145#462×C89C2211yescharacteristic, complemented
146#461×C89C2211yescharacteristic, complemented
147#460×C89C2211yescharacteristic
148#460×C89C2211yescharacteristic, complemented
149#460×C89C2211yescharacteristic, complemented
150#459×C89C2211yescharacteristic
151#459×C89C2211yescharacteristic, complemented
152#459×C89C2211yescharacteristic, complemented
153#452×C89C2211yescharacteristic, complemented
154#452×C89C2211yescharacteristic, complemented
155#452×C89C2211yescharacteristic, complemented
156#452×C89C2211yescharacteristic, complemented
157#450×C89C2211yescharacteristic
158#450×C89C2211yescharacteristic
159#449×C89C2211yescharacteristic, complemented
160#449×C89C2211yescharacteristic, complemented
161#449×C89C2211yescharacteristic, complemented
162#449×C89C2211yescharacteristic, complemented
163#447×C89C2211yescharacteristic
164#447×C89C2211yescharacteristic
165#446×C89C2211yescharacteristic, complemented
166#446×C89C2211yescharacteristic, complemented
167#442×C89C2211yescharacteristic
168#442×C89C2211yescharacteristic, complemented
169#442×C89C2211yescharacteristic, complemented
170#441×C89C2211yescharacteristic, complemented
171#440×C89C2211yescharacteristic
172#440×C89C2211yescharacteristic, complemented
173#440×C89C2211yescharacteristic, complemented
174#440×C89C2211yescharacteristic, complemented
175C4×Q16×C89C2211yescharacteristic, complemented
176C4×SD16×C89C2211yescharacteristic, complemented
177C4×SD16×C89C2211yescharacteristic, complemented
178C4×D8×C89C2211yescharacteristic, complemented
179#435×C89C2211yescharacteristic
180#435×C89C2211yescharacteristic
181#435×C89C2211yescharacteristic, complemented
182#435×C89C2211yescharacteristic, complemented
183C8×D4×C89C2211yescharacteristic, complemented
184C8×D4×C89C2211yescharacteristic, complemented
185#433×C89C2211yescharacteristic, complemented
186#433×C89C2211yescharacteristic, complemented
187#431×C89C2211yescharacteristic, complemented
188#418×C89C2211yescharacteristic
189#418×C89C2211yescharacteristic
190#417×C89C2211yescharacteristic, complemented
191#417×C89C2211yescharacteristic, complemented
192#416×C89C2211yescharacteristic, complemented
193#416×C89C2211yescharacteristic, complemented
194#416×C89C2211yescharacteristic, complemented
195#416×C89C2211yescharacteristic, complemented
196#416×C89C2211yescharacteristic, complemented
197#416×C89C2211yescharacteristic, complemented
198C2×#102×C89C2211yescharacteristic
199C2×#102×C89C2211yescharacteristic
200#405×C89C2211yescharacteristic, complemented
201#405×C89C2211yescharacteristic, complemented
202C2×#97×C89C2211yescharacteristic, complemented
203C2×#41×C89—21no—
204C2×#41×C89—21no—
205C2×#41×C89C2311yescharacteristic
206C2×#41×C89C2311yescharacteristic
207C2×#41×C89C2311yescharacteristic
208C2×#41×C89C2311yescharacteristic
209C22×D4×C89—21no—
210C22×D4×C89C2311yescharacteristic
211C22×D4×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×D8×C89C2311yescharacteristic
222C2×D8×C89C2311yescharacteristic
223C2×D8×C89C2311yescharacteristic
224C2×M16×C89C2311yescharacteristic
225C2×M16×C89C2311yescharacteristic
226C22×C8×C89C2311yescharacteristic
227C22×C8×C89C2311yescharacteristic
228C22×C8×C89C2311yescharacteristic
229C22×C8×C89C2311yescharacteristic
230C4⋊Q8×C89—21no—
231C4⋊Q8×C89—21no—
232C4⋊Q8×C89—21no—
233C4⋊Q8×C89C2311yescharacteristic
234C4⋊Q8×C89C2311yescharacteristic
235C4⋊Q8×C89C2311yescharacteristic
236C4⋊Q8×C89C2311yescharacteristic
237C4⋊Q8×C89C2311yescharacteristic
238C4⋊Q8×C89C2311yescharacteristic
239#127×C89—21no—
240#127×C89—21no—
241#127×C89C2311yescharacteristic
242#127×C89C2311yescharacteristic
243#127×C89C2311yescharacteristic
244#127×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×C89D411yescharacteristic
259#126×C89D411yescharacteristic
260#125×C89—21no—
261#125×C89—21no—
262#125×C89—21no—
263#125×C89—21no—
264#125×C89—21no—
265#125×C89—21no—
266#125×C89D411yescharacteristic
267#125×C89C2311yescharacteristic
268#125×C89C2311yescharacteristic
269#125×C89C2311yescharacteristic
270#125×C89C2311yescharacteristic
271#125×C89C2311yescharacteristic
272#124×C89—21no—
273#124×C89—21no—
274#124×C89—21no—
275#124×C89—21no—
276#124×C89—21no—
277#124×C89—21no—
278#124×C89—21no—
279#124×C89—21no—
280#124×C89D411yescharacteristic
281#124×C89C2311yescharacteristic
282#124×C89C2311yescharacteristic
283#124×C89C2311yescharacteristic
284#124×C89C2311yescharacteristic
285#124×C89C2311yescharacteristic
286#123×C89—21no—
287#123×C89—21no—
288#123×C89—21no—
289#123×C89—21no—
290#123×C89—21no—
291#123×C89—21no—
292#123×C89—21no—
293#123×C89—21no—
294#123×C89—21no—
295#123×C89—21no—
296#123×C89—21no—
297#123×C89—21no—
298#123×C89—21no—
299#123×C89D411yescharacteristic
300#123×C89D411yescharacteristic
301C22⋊Q8×C89—21no—
302C22⋊Q8×C89—21no—
303C22⋊Q8×C89—21no—
304C22⋊Q8×C89—21no—
305C22⋊Q8×C89—21no—
306C22⋊Q8×C89—21no—
307C22⋊Q8×C89—21no—
308C22⋊Q8×C89—21no—
309C22⋊Q8×C89—21no—
310C22⋊Q8×C89—21no—
311C22⋊Q8×C89—21no—
312C22⋊Q8×C89—21no—
313C22⋊Q8×C89—21no—
314C22⋊Q8×C89—21no—
315C22⋊Q8×C89D411yescharacteristic
316C22⋊Q8×C89C2311yescharacteristic
317C22⋊Q8×C89C2311yescharacteristic
318C22⋊Q8×C89C2311yescharacteristic
319C22⋊Q8×C89C2311yescharacteristic
320C22⋊Q8×C89C2311yescharacteristic
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×C89—21no—
328#121×C89—21no—
329#121×C89—21no—
330#121×C89—21no—
331#121×C89—21no—
332#121×C89—21no—
333#121×C89—21no—
334#121×C89—21no—
335#121×C89—21no—
336#121×C89—21no—
337#121×C89—21no—
338#121×C89—21no—
339#121×C89—21no—
340#121×C89—21no—
341#121×C89—21no—
342#121×C89D411yescharacteristic
343#121×C89C2311yescharacteristic
344#121×C89C2311yescharacteristic
345#121×C89C2311yescharacteristic
346#121×C89C2311yescharacteristic
347#121×C89C2311yescharacteristic
348#121×C89C2311yescharacteristic
349#121×C89C2311yescharacteristic
350#120×C89—21no—
351#120×C89—21no—
352#120×C89—21no—
353#120×C89—21no—
354#120×C89—21no—
355#120×C89—21no—
356#120×C89—21no—
357#120×C89—21no—
358C4×Q8×C89—21no—
359C4×Q8×C89—21no—
360C4×Q8×C89—21no—
361C4×Q8×C89—21no—
362C4×Q8×C89C2311yescharacteristic
363C4×Q8×C89C2311yescharacteristic
364C4×Q8×C89C2311yescharacteristic
365C4×Q8×C89C2311yescharacteristic
366C4×Q8×C89C2311yescharacteristic
367C4×Q8×C89C2311yescharacteristic
368C4×D4×C89—21no—
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×C89C2311yescharacteristic
377C4×D4×C89C2311yescharacteristic
378C4×D4×C89C2311yescharacteristic
379C4×D4×C89C2311yescharacteristic
380C4×D4×C89C2311yescharacteristic
381C4×D4×C89C2311yescharacteristic
382C4×D4×C89C2311yescharacteristic
383C4×D4×C89C2311yescharacteristic
384C4×D4×C89C2311yescharacteristic
385C4×D4×C89C2311yescharacteristic
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×C89C2311yescharacteristic
400C2×C4⋊C4×C89C2311yescharacteristic
401C2×C22⋊C4×C89—21no—
402C2×C22⋊C4×C89—21no—
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#102×C89C2311yescharacteristic
437#102×C89C2311yescharacteristic
438#102×C89C2311yescharacteristic
439#102×C89C2311yescharacteristic
440#102×C89C2311yescharacteristic
441#102×C89C2311yescharacteristic
442#102×C89C2311yescharacteristic
443#102×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
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
478C24×C89—21no—
479C24×C89—21no—
480#41×C89—41no—
481#41×C89—41no—
482#41×C89—41no—
483#41×C89—41no—
484#41×C89—41no—
485#41×C89—41no—
486#41×C89—41no—
487#41×C89—41no—
488#41×C89—82no—
489#41×C89—82no—
490C2×Q8×C89—21no—
491C2×Q8×C89—21no—
492C2×Q8×C89—21no—
493C2×Q8×C89—21no—
494C2×Q8×C89—21no—
495C2×Q8×C89C2×D411yescharacteristic
496C2×Q8×C89C2411yescharacteristic
497C2×Q8×C89C2411yescharacteristic
498C2×Q8×C89C2411yescharacteristic
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×C89—21no—
514C2×D4×C89—21no—
515C2×D4×C89—21no—
516C2×D4×C89—21no—
517C2×D4×C89—21no—
518C2×D4×C89—21no—
519C2×D4×C89—21no—
520C2×D4×C89—41no—
521C2×D4×C89—41no—
522C2×D4×C89—41no—
523C2×D4×C89—41no—
524C2×D4×C89—82no—
525C2×D4×C89C2×D411yescharacteristic
526C2×D4×C89C2×D411yescharacteristic
527C2×D4×C89C2×D411yescharacteristic
528C2×D4×C89C2411yescharacteristic
529C2×D4×C89C2411yescharacteristic
530C2×D4×C89C2411yescharacteristic
531C2×D4×C89C2411yescharacteristic
532C2×D4×C89C2411yescharacteristic
533C22×C4×C89—21no—
534C22×C4×C89—21no—
535C22×C4×C89—21no—
536C22×C4×C89—21no—
537C22×C4×C89—21no—
538C22×C4×C89—21no—
539C22×C4×C89—21no—
540C22×C4×C89—21no—
541C22×C4×C89—21no—
542C22×C4×C89—21no—
543C22×C4×C89—21no—
544C22×C4×C89—21no—
545C22×C4×C89—21no—
546C22×C4×C89C2×D411yescharacteristic
547C22×C4×C89C2×D411yescharacteristic
548C22×C4×C89C2411yescharacteristic
549C22×C4×C89C2411yescharacteristic
550C22×C4×C89C2411yescharacteristic
551Q16×C89—41no—
552Q16×C89—41no—
553SD16×C89—41no—
554SD16×C89—41no—
555SD16×C89—41no—
556SD16×C89—41no—
557SD16×C89—41no—
558SD16×C89—41no—
559D8×C89—41no—
560D8×C89—41no—
561D8×C89—41no—
562D8×C89—41no—
563M16×C89—41no—
564M16×C89—41no—
565C2×C8×C89—41no—
566C2×C8×C89—41no—
567C2×C8×C89—41no—
568C2×C8×C89—41no—
569C2×C8×C89C2411yescharacteristic
570C2×C8×C89C2411yescharacteristic
571C2×C8×C89C2411yescharacteristic
572C2×C8×C89C2411yescharacteristic
573C2×C8×C89C2411yescharacteristic
574C2×C8×C89C2411yescharacteristic
575C2×C8×C89C2411yescharacteristic
576C2×C8×C89C2411yescharacteristic
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×C89—21no—
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×C89C2×D411yescharacteristic
616C4⋊C4×C89C2411yescharacteristic
617C4⋊C4×C89C2411yescharacteristic
618C4⋊C4×C89C2411yescharacteristic
619C4⋊C4×C89C2411yescharacteristic
620C4⋊C4×C89C2411yescharacteristic
621C4⋊C4×C89C2411yescharacteristic
622C4⋊C4×C89C2411yescharacteristic
623C4⋊C4×C89C2411yescharacteristic
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×C89—21no—
652C22⋊C4×C89—21no—
653C22⋊C4×C89—21no—
654C22⋊C4×C89—21no—
655C22⋊C4×C89—21no—
656C22⋊C4×C89—21no—
657C22⋊C4×C89C2×D411yescharacteristic
658C22⋊C4×C89C2×D411yescharacteristic
659C22⋊C4×C89C2×D411yescharacteristic
660C22⋊C4×C89C2×D411yescharacteristic
661C22⋊C4×C89C2×D411yescharacteristic
662C22⋊C4×C89C2×D411yescharacteristic
663C22⋊C4×C89C2×D411yescharacteristic
664C22⋊C4×C89C2×D411yescharacteristic
665C22⋊C4×C89C2×D411yescharacteristic
666C22⋊C4×C89C2×D411yescharacteristic
667C42×C89—21no—
668C42×C89—21no—
669C42×C89—21no—
670C42×C89—21no—
671C42×C89—21no—
672C42×C89—21no—
673C42×C89—21no—
674C42×C89—21no—
675C42×C89—21no—
676C42×C89C2×D411yescharacteristic
677C42×C89C2×D411yescharacteristic
678C42×C89C2411yescharacteristic
679C42×C89C2411yescharacteristic
680C42×C89C2411yescharacteristic
681C42×C89C2411yescharacteristic
682C23×C89—21no—
683C23×C89—21no—
684C23×C89—21no—
685C23×C89—21no—
686C23×C89—21no—
687C23×C89—81no—
688C23×C89—81no—
689C23×C89—81no—
690C23×C89—81no—
691C23×C89—81no—
692C23×C89—81no—
693C23×C89C22×D411yescharacteristic
694C23×C89C22×D411yescharacteristic
695C23×C89C22×D411yescharacteristic
696Q8×C89—21no—
697Q8×C89—21no—
698Q8×C89—21no—
699Q8×C89—21no—
700Q8×C89—21no—
701Q8×C89—21no—
702Q8×C89—41no—
703Q8×C89—81no—
704Q8×C89—81no—
705Q8×C89—81no—
706Q8×C89—81no—
707Q8×C89—81no—
708D4×C89—21no—
709D4×C89—21no—
710D4×C89—21no—
711D4×C89—21no—
712D4×C89—21no—
713D4×C89—21no—
714D4×C89—21no—
715D4×C89—21no—
716D4×C89—21no—
717D4×C89—21no—
718D4×C89—41no—
719D4×C89—41no—
720D4×C89—41no—
721D4×C89—42no—
722D4×C89—81no—
723D4×C89—81no—
724D4×C89—81no—
725D4×C89—81no—
726D4×C89—81no—
727D4×C89—81no—
728D4×C89—81no—
729D4×C89—81no—
730D4×C89—81no—
731D4×C89—81no—
732D4×C89—81no—
733D4×C89—81no—
734D4×C89—81no—
735D4×C89—81no—
736D4×C89—81no—
737D4×C89—81no—
738D4×C89—81no—
739D4×C89—81no—
740D4×C89—81no—
741D4×C89—81no—
742C2×C4×C89—21no—
743C2×C4×C89—21no—
744C2×C4×C89—21no—
745C2×C4×C89—21no—
746C2×C4×C89—21no—
747C2×C4×C89—21no—
748C2×C4×C89—21no—
749C2×C4×C89—21no—
750C2×C4×C89—21no—
751C2×C4×C89—21no—
752C2×C4×C89—21no—
753C2×C4×C89—21no—
754C2×C4×C89—21no—
755C2×C4×C89—21no—
756C2×C4×C89—21no—
757C2×C4×C89—21no—
758C2×C4×C89—21no—
759C2×C4×C89—41no—
760C2×C4×C89—41no—
761C2×C4×C89—42no—
762C2×C4×C89—42no—
763C2×C4×C89—81no—
764C2×C4×C89—81no—
765C2×C4×C89—81no—
766C2×C4×C89—81no—
767C2×C4×C89—81no—
768C2×C4×C89—81no—
769C2×C4×C89—81no—
770C2×C4×C89—81no—
771C2×C4×C89—81no—
772C2×C4×C89—81no—
773C2×C4×C89—81no—
774C2×C4×C89C22×D411yescharacteristic
775C2×C4×C89C22×D411yescharacteristic
776C2×C4×C89C22×D411yescharacteristic
777C2×C4×C89C22×D411yescharacteristic
778C2×C4×C89C22×D411yescharacteristic
779C2×C4×C89C22×D411yescharacteristic
780C2×C4×C89C22×D411yescharacteristic
781C2×C4×C89C22×D411yescharacteristic
782C2×C4×C89C22×D411yescharacteristic
783C2×C4×C89C22×D411yescharacteristic
784C2×C4×C89C22×D411yescharacteristic
785C2×C4×C89C2511yescharacteristic
786C8×C89—21no—
787C8×C89—21no—
788C8×C89—21no—
789C8×C89—21no—
790C8×C89—21no—
791C8×C89—21no—
792C8×C89—21no—
793C8×C89—21no—
794C22×C89—21no—
795C22×C89—21no—
796C22×C89—21no—
797C22×C89—21no—
798C22×C89—21no—
799C22×C89—21no—
800C22×C89—21no—
801C22×C89—21no—
802C22×C89—21no—
803C22×C89—41no—
804C22×C89—41no—
805C22×C89—41no—
806C22×C89—41no—
807C22×C89—41no—
808C22×C89—41no—
809C22×C89—41no—
810C22×C89—41no—
811C22×C89—41no—
812C22×C89—41no—
813C22×C89—41no—
814C22×C89—41no—
815C22×C89—41no—
816C22×C89—41no—
817C22×C89—41no—
818C22×C89—162no—
819C22×C89—162no—
820C22×C89C23×D411yescharacteristic
821C4×C89—21no—
822C4×C89—21no—
823C4×C89—21no—
824C4×C89—21no—
825C4×C89—21no—
826C4×C89—21no—
827C4×C89—21no—
828C4×C89—21no—
829C4×C89—21no—
830C4×C89—21no—
831C4×C89—21no—
832C4×C89—41no—
833C4×C89—41no—
834C4×C89—41no—
835C4×C89—41no—
836C4×C89—41no—
837C4×C89—41no—
838C4×C89—41no—
839C4×C89—41no—
840C4×C89—41no—
841C4×C89—41no—
842C4×C89—41no—
843C4×C89#58511yescharacteristic
844C4×C89#58511yescharacteristic
845#62607C8911yesmaximal, characteristic, direct product factor, Sylow
846C2×C89—41no—
847C2×C89—41no—
848C2×C89—41no—
849C2×C89—81no—
850C2×C89—81no—
851C2×C89—81no—
852C2×C89—81no—
853C2×C89—81no—
854C2×C89#350011yescharacteristic
855C2×C89#358411yescharacteristic
856C2×C89#358511yescharacteristic
857#3565C2×C8911yescharacteristic, complemented
858#3546C2×C8911yescharacteristic, complemented
859#3377C2×C8911yescharacteristic, complemented
860#3376C2×C8911yescharacteristic, complemented
861#3368C2×C8911yescharacteristic, complemented
862#3366C2×C8911yescharacteristic, complemented
863#3319C2×C8911yescharacteristic, complemented
864#3318C2×C8911yescharacteristic, complemented
865#3317C2×C8911yescharacteristic, complemented
866#3315C2×C8911yescharacteristic, complemented
867#3311C2×C8911yescharacteristic, complemented
868#3310C2×C8911yescharacteristic, complemented
869#3309C2×C8911yescharacteristic, complemented
870#3307C2×C8911yescharacteristic, complemented
871#3305C2×C8911yescharacteristic, complemented
872#3304C2×C8911yescharacteristic, complemented
873#3297C2×C8911yescharacteristic, complemented
874#3296C2×C8911yescharacteristic, complemented
875#3244C2×C8911yescharacteristic, complemented
876#3243C2×C8911yescharacteristic, complemented
877#3228C2×C8911yescharacteristic, complemented
878#3224C2×C8911yescharacteristic, complemented
879#3224C2×C8911yescharacteristic, complemented
880#3212C2×C8911yescharacteristic, complemented
881#3180C2×C8911yescharacteristic, complemented
882#3175C2×C8911yescharacteristic, complemented
883#3173C2×C8911yescharacteristic, complemented
884#3136C2×C8911yescharacteristic, complemented
885#3136C2×C8911yescharacteristic, complemented
886#3135C2×C8911yescharacteristic, complemented
887#2968C2×C8911yescharacteristic, complemented
888C89#6260711yescharacteristic, direct product factor, Sylow
889#563—21no—
890#562—21no—
891#560—21no—
892#560—21no—
893#557C22×C8911yescharacteristic, complemented
894#556—21no—
895#556C22×C8911yescharacteristic
896#556C22×C8911yescharacteristic, complemented
897#555C22×C8911yescharacteristic, complemented
898#554C22×C8911yescharacteristic, complemented
899#553—21no—
900#553C22×C8911yescharacteristic
901#553C22×C8911yescharacteristic, complemented
902#552—21no—
903#552C22×C8911yescharacteristic
904#552C22×C8911yescharacteristic, complemented
905#550C22×C8911yescharacteristic
906#550C22×C8911yescharacteristic
907#550C22×C8911yescharacteristic
908#547C22×C8911yescharacteristic
909#546—21no—
910#546C22×C8911yescharacteristic
911#546C22×C8911yescharacteristic
912D42C22×C8911yescharacteristic
913#544C22×C8911yescharacteristic, complemented
914#544C22×C8911yescharacteristic, complemented
915#542—21no—
916#542—21no—
917#542C22×C8911yescharacteristic
918#542C22×C8911yescharacteristic
919#542C22×C8911yescharacteristic, complemented
920#542C22×C8911yescharacteristic, complemented
921#541—21no—
922#539—21no—
923#538—21no—
924#538—21no—
925#537—21no—
926#535—21no—
927#535C22×C8911yescharacteristic
928#535C22×C8911yescharacteristic
929#533C22×C8911yescharacteristic, complemented
930#532C22×C8911yescharacteristic
931#532C22×C8911yescharacteristic
932#529C22×C8911yescharacteristic
933#529C22×C8911yescharacteristic, complemented
934#501C22×C8911yescharacteristic, complemented
935#500C22×C8911yescharacteristic, complemented
936#498C22×C8911yescharacteristic, complemented
937#496C22×C8911yescharacteristic
938#495C22×C8911yescharacteristic, complemented
939#495C22×C8911yescharacteristic, complemented
940#491C22×C8911yescharacteristic, complemented
941#491C22×C8911yescharacteristic, complemented
942#490C22×C8911yescharacteristic
943#490C22×C8911yescharacteristic
944#490C22×C8911yescharacteristic
945#490C22×C8911yescharacteristic, complemented
946#490C22×C8911yescharacteristic, complemented
947#489C22×C8911yescharacteristic
948#489C22×C8911yescharacteristic
949#489C22×C8911yescharacteristic, complemented
950#489C22×C8911yescharacteristic, complemented
951#489C22×C8911yescharacteristic, complemented
952#489C22×C8911yescharacteristic, complemented
953#489C22×C8911yescharacteristic, complemented
954#488C22×C8911yescharacteristic
955#488C22×C8911yescharacteristic
956#488C22×C8911yescharacteristic, complemented
957#488C22×C8911yescharacteristic, complemented
958#486C22×C8911yescharacteristic
959#486C22×C8911yescharacteristic
960#486C22×C8911yescharacteristic, complemented
961#486C22×C8911yescharacteristic, complemented
962#485C22×C8911yescharacteristic, complemented
963#485C22×C8911yescharacteristic, complemented
964#484C22×C8911yescharacteristic, complemented
965#483C22×C8911yescharacteristic, complemented
966#482C22×C8911yescharacteristic
967#482C22×C8911yescharacteristic
968#482C22×C8911yescharacteristic
969#482C22×C8911yescharacteristic
970#482C22×C8911yescharacteristic, complemented
971#482C22×C8911yescharacteristic, complemented
972#481C22×C8911yescharacteristic
973#480C22×C8911yescharacteristic
974#479C22×C8911yescharacteristic, complemented
975#479C22×C8911yescharacteristic, complemented
976#478C22×C8911yescharacteristic
977#478C22×C8911yescharacteristic
978#478C22×C8911yescharacteristic, complemented
979#478C22×C8911yescharacteristic, complemented
980#478C22×C8911yescharacteristic, complemented
981#478C22×C8911yescharacteristic, complemented
982#477C22×C8911yescharacteristic, complemented
983#476C22×C8911yescharacteristic, complemented
984#475C22×C8911yescharacteristic, complemented
985#474C22×C8911yescharacteristic, complemented
986#470C22×C8911yescharacteristic, complemented
987#469C22×C8911yescharacteristic
988#468C22×C8911yescharacteristic
989#468C22×C8911yescharacteristic, complemented
990#467C22×C8911yescharacteristic, complemented
991#466C22×C8911yescharacteristic
992#466C22×C8911yescharacteristic
993#466C22×C8911yescharacteristic, complemented
994#465C22×C8911yescharacteristic
995#465C22×C8911yescharacteristic
996#465C22×C8911yescharacteristic, complemented
997#465C22×C8911yescharacteristic, complemented
998#464C22×C8911yescharacteristic
999#464C22×C8911yescharacteristic
1000#463C22×C8911yescharacteristic
1001#463C22×C8911yescharacteristic
1002#462C22×C8911yescharacteristic, complemented
1003#461C22×C8911yescharacteristic, complemented
1004#460C22×C8911yescharacteristic
1005#460C22×C8911yescharacteristic, complemented
1006#460C22×C8911yescharacteristic, complemented
1007#459C22×C8911yescharacteristic
1008#459C22×C8911yescharacteristic, complemented
1009#459C22×C8911yescharacteristic, complemented
1010#452C22×C8911yescharacteristic, complemented
1011#452C22×C8911yescharacteristic, complemented
1012#452C22×C8911yescharacteristic, complemented
1013#452C22×C8911yescharacteristic, complemented
1014#450C22×C8911yescharacteristic
1015#450C22×C8911yescharacteristic
1016#449C22×C8911yescharacteristic, complemented
1017#449C22×C8911yescharacteristic, complemented
1018#449C22×C8911yescharacteristic, complemented
1019#449C22×C8911yescharacteristic, complemented
1020#447C22×C8911yescharacteristic
1021#447C22×C8911yescharacteristic
1022#446C22×C8911yescharacteristic, complemented
1023#446C22×C8911yescharacteristic, complemented
1024#442C22×C8911yescharacteristic
1025#442C22×C8911yescharacteristic, complemented
1026#442C22×C8911yescharacteristic, complemented
1027#441C22×C8911yescharacteristic, complemented
1028#440C22×C8911yescharacteristic
1029#440C22×C8911yescharacteristic, complemented
1030#440C22×C8911yescharacteristic, complemented
1031#440C22×C8911yescharacteristic, complemented
1032C4×Q16C22×C8911yescharacteristic, complemented
1033C4×SD16C22×C8911yescharacteristic, complemented
1034C4×SD16C22×C8911yescharacteristic, complemented
1035C4×D8C22×C8911yescharacteristic, complemented
1036#435C22×C8911yescharacteristic
1037#435C22×C8911yescharacteristic
1038#435C22×C8911yescharacteristic, complemented
1039#435C22×C8911yescharacteristic, complemented
1040C8×D4C22×C8911yescharacteristic, complemented
1041C8×D4C22×C8911yescharacteristic, complemented
1042#433C22×C8911yescharacteristic, complemented
1043#433C22×C8911yescharacteristic, complemented
1044#431C22×C8911yescharacteristic, complemented
1045#418C22×C8911yescharacteristic
1046#418C22×C8911yescharacteristic
1047#417C22×C8911yescharacteristic, complemented
1048#417C22×C8911yescharacteristic, complemented
1049#416C22×C8911yescharacteristic, complemented
1050#416C22×C8911yescharacteristic, complemented
1051#416C22×C8911yescharacteristic, complemented
1052#416C22×C8911yescharacteristic, complemented
1053#416C22×C8911yescharacteristic, complemented
1054#416C22×C8911yescharacteristic, complemented
1055C2×#102C22×C8911yescharacteristic
1056C2×#102C22×C8911yescharacteristic
1057#405C22×C8911yescharacteristic, complemented
1058#405C22×C8911yescharacteristic, complemented
1059C2×#97C22×C8911yescharacteristic, complemented
1060C2×#41—21no—
1061C2×#41—21no—
1062C2×#41C23×C8911yescharacteristic
1063C2×#41C23×C8911yescharacteristic
1064C2×#41C23×C8911yescharacteristic
1065C2×#41C23×C8911yescharacteristic
1066C22×D4—21no—
1067C22×D4C23×C8911yescharacteristic
1068C22×D4C23×C8911yescharacteristic
1069C2×Q16C23×C8911yescharacteristic
1070C2×Q16C23×C8911yescharacteristic
1071C2×SD16C23×C8911yescharacteristic
1072C2×SD16C23×C8911yescharacteristic
1073C2×SD16C23×C8911yescharacteristic
1074C2×SD16C23×C8911yescharacteristic
1075C2×SD16C23×C8911yescharacteristic
1076C2×SD16C23×C8911yescharacteristic
1077C2×D8C23×C8911yescharacteristic
1078C2×D8C23×C8911yescharacteristic
1079C2×D8C23×C8911yescharacteristic
1080C2×D8C23×C8911yescharacteristic
1081C2×M16C23×C8911yescharacteristic
1082C2×M16C23×C8911yescharacteristic
1083C22×C8C23×C8911yescharacteristic
1084C22×C8C23×C8911yescharacteristic
1085C22×C8C23×C8911yescharacteristic
1086C22×C8C23×C8911yescharacteristic
1087C4⋊Q8—21no—
1088C4⋊Q8—21no—
1089C4⋊Q8—21no—
1090C4⋊Q8C23×C8911yescharacteristic
1091C4⋊Q8C23×C8911yescharacteristic
1092C4⋊Q8C23×C8911yescharacteristic
1093C4⋊Q8C23×C8911yescharacteristic
1094C4⋊Q8C23×C8911yescharacteristic
1095C4⋊Q8C23×C8911yescharacteristic
1096#127—21no—
1097#127—21no—
1098#127C23×C8911yescharacteristic
1099#127C23×C8911yescharacteristic
1100#127C23×C8911yescharacteristic
1101#127C23×C8911yescharacteristic
1102#126—21no—
1103#126—21no—
1104#126—21no—
1105#126—21no—
1106#126—21no—
1107#126—21no—
1108#126—21no—
1109#126—21no—
1110#126—21no—
1111#126—21no—
1112#126—21no—
1113#126—21no—
1114#126—21no—
1115#126D4×C8911yescharacteristic
1116#126D4×C8911yescharacteristic
1117#125—21no—
1118#125—21no—
1119#125—21no—
1120#125—21no—
1121#125—21no—
1122#125—21no—
1123#125D4×C8911yescharacteristic
1124#125C23×C8911yescharacteristic
1125#125C23×C8911yescharacteristic
1126#125C23×C8911yescharacteristic
1127#125C23×C8911yescharacteristic
1128#125C23×C8911yescharacteristic
1129#124—21no—
1130#124—21no—
1131#124—21no—
1132#124—21no—
1133#124—21no—
1134#124—21no—
1135#124—21no—
1136#124—21no—
1137#124D4×C8911yescharacteristic
1138#124C23×C8911yescharacteristic
1139#124C23×C8911yescharacteristic
1140#124C23×C8911yescharacteristic
1141#124C23×C8911yescharacteristic
1142#124C23×C8911yescharacteristic
1143#123—21no—
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149#123—21no—
1150#123—21no—
1151#123—21no—
1152#123—21no—
1153#123—21no—
1154#123—21no—
1155#123—21no—
1156#123D4×C8911yescharacteristic
1157#123D4×C8911yescharacteristic
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8—21no—
1163C22⋊Q8—21no—
1164C22⋊Q8—21no—
1165C22⋊Q8—21no—
1166C22⋊Q8—21no—
1167C22⋊Q8—21no—
1168C22⋊Q8—21no—
1169C22⋊Q8—21no—
1170C22⋊Q8—21no—
1171C22⋊Q8—21no—
1172C22⋊Q8D4×C8911yescharacteristic
1173C22⋊Q8C23×C8911yescharacteristic
1174C22⋊Q8C23×C8911yescharacteristic
1175C22⋊Q8C23×C8911yescharacteristic
1176C22⋊Q8C23×C8911yescharacteristic
1177C22⋊Q8C23×C8911yescharacteristic
1178#121—21no—
1179#121—21no—
1180#121—21no—
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121—21no—
1186#121—21no—
1187#121—21no—
1188#121—21no—
1189#121—21no—
1190#121—21no—
1191#121—21no—
1192#121—21no—
1193#121—21no—
1194#121—21no—
1195#121—21no—
1196#121—21no—
1197#121—21no—
1198#121—21no—
1199#121D4×C8911yescharacteristic
1200#121C23×C8911yescharacteristic
1201#121C23×C8911yescharacteristic
1202#121C23×C8911yescharacteristic
1203#121C23×C8911yescharacteristic
1204#121C23×C8911yescharacteristic
1205#121C23×C8911yescharacteristic
1206#121C23×C8911yescharacteristic
1207#120—21no—
1208#120—21no—
1209#120—21no—
1210#120—21no—
1211#120—21no—
1212#120—21no—
1213#120—21no—
1214#120—21no—
1215C4×Q8—21no—
1216C4×Q8—21no—
1217C4×Q8—21no—
1218C4×Q8—21no—
1219C4×Q8C23×C8911yescharacteristic
1220C4×Q8C23×C8911yescharacteristic
1221C4×Q8C23×C8911yescharacteristic
1222C4×Q8C23×C8911yescharacteristic
1223C4×Q8C23×C8911yescharacteristic
1224C4×Q8C23×C8911yescharacteristic
1225C4×D4—21no—
1226C4×D4—21no—
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4—21no—
1233C4×D4C23×C8911yescharacteristic
1234C4×D4C23×C8911yescharacteristic
1235C4×D4C23×C8911yescharacteristic
1236C4×D4C23×C8911yescharacteristic
1237C4×D4C23×C8911yescharacteristic
1238C4×D4C23×C8911yescharacteristic
1239C4×D4C23×C8911yescharacteristic
1240C4×D4C23×C8911yescharacteristic
1241C4×D4C23×C8911yescharacteristic
1242C4×D4C23×C8911yescharacteristic
1243#117—21no—
1244#117—21no—
1245#117—21no—
1246#117—21no—
1247#117—21no—
1248#117C23×C8911yescharacteristic
1249#117C23×C8911yescharacteristic
1250#117C23×C8911yescharacteristic
1251#117C23×C8911yescharacteristic
1252#117C23×C8911yescharacteristic
1253#117C23×C8911yescharacteristic
1254C2×C4⋊C4—21no—
1255C2×C4⋊C4—21no—
1256C2×C4⋊C4C23×C8911yescharacteristic
1257C2×C4⋊C4C23×C8911yescharacteristic
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—21no—
1260C2×C42C23×C8911yescharacteristic
1261#107C23×C8911yescharacteristic
1262#107C23×C8911yescharacteristic
1263#107C23×C8911yescharacteristic
1264#107C23×C8911yescharacteristic
1265#107C23×C8911yescharacteristic
1266#107C23×C8911yescharacteristic
1267#106C23×C8911yescharacteristic
1268#106C23×C8911yescharacteristic
1269#106C23×C8911yescharacteristic
1270#106C23×C8911yescharacteristic
1271#106C23×C8911yescharacteristic
1272#106C23×C8911yescharacteristic
1273C4⋊C8C23×C8911yescharacteristic
1274C4⋊C8C23×C8911yescharacteristic
1275C4⋊C8C23×C8911yescharacteristic
1276C4⋊C8C23×C8911yescharacteristic
1277C4⋊C8C23×C8911yescharacteristic
1278C4⋊C8C23×C8911yescharacteristic
1279#103C23×C8911yescharacteristic
1280#103C23×C8911yescharacteristic
1281#103C23×C8911yescharacteristic
1282#103C23×C8911yescharacteristic
1283#103C23×C8911yescharacteristic
1284#103C23×C8911yescharacteristic
1285#103C23×C8911yescharacteristic
1286#103C23×C8911yescharacteristic
1287#103C23×C8911yescharacteristic
1288#103C23×C8911yescharacteristic
1289#103C23×C8911yescharacteristic
1290#103C23×C8911yescharacteristic
1291#103C23×C8911yescharacteristic
1292#103C23×C8911yescharacteristic
1293#102C23×C8911yescharacteristic
1294#102C23×C8911yescharacteristic
1295#102C23×C8911yescharacteristic
1296#102C23×C8911yescharacteristic
1297#102C23×C8911yescharacteristic
1298#102C23×C8911yescharacteristic
1299#102C23×C8911yescharacteristic
1300#102C23×C8911yescharacteristic
1301#102C23×C8911yescharacteristic
1302#102C23×C8911yescharacteristic
1303#102C23×C8911yescharacteristic
1304#102C23×C8911yescharacteristic
1305#102C23×C8911yescharacteristic
1306#102C23×C8911yescharacteristic
1307#102C23×C8911yescharacteristic
1308#102C23×C8911yescharacteristic
1309#102C23×C8911yescharacteristic
1310#102C23×C8911yescharacteristic
1311#102C23×C8911yescharacteristic
1312#102C23×C8911yescharacteristic
1313#102C23×C8911yescharacteristic
1314#102C23×C8911yescharacteristic
1315#102C23×C8911yescharacteristic
1316#102C23×C8911yescharacteristic
1317#102C23×C8911yescharacteristic
1318#102C23×C8911yescharacteristic
1319C22⋊C8C23×C8911yescharacteristic
1320C22⋊C8C23×C8911yescharacteristic
1321C22⋊C8C23×C8911yescharacteristic
1322C22⋊C8C23×C8911yescharacteristic
1323C22⋊C8C23×C8911yescharacteristic
1324C22⋊C8C23×C8911yescharacteristic
1325#97C23×C8911yescharacteristic
1326#97C23×C8911yescharacteristic
1327#97C23×C8911yescharacteristic
1328#97C23×C8911yescharacteristic
1329#97C23×C8911yescharacteristic
1330#97C23×C8911yescharacteristic
1331C4×C8C23×C8911yescharacteristic
1332C4×C8C23×C8911yescharacteristic
1333C4×C8C23×C8911yescharacteristic
1334C4×C8C23×C8911yescharacteristic
1335C24—21no—
1336C24—21no—
1337#41—41no—
1338#41—41no—
1339#41—41no—
1340#41—41no—
1341#41—41no—
1342#41—41no—
1343#41—41no—
1344#41—41no—
1345#41—82no—
1346#41—82no—
1347C2×Q8—21no—
1348C2×Q8—21no—
1349C2×Q8—21no—
1350C2×Q8—21no—
1351C2×Q8—21no—
1352C2×Q8C2×D4×C8911yescharacteristic
1353C2×Q8C24×C8911yescharacteristic
1354C2×Q8C24×C8911yescharacteristic
1355C2×Q8C24×C8911yescharacteristic
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—41no—
1378C2×D4—41no—
1379C2×D4—41no—
1380C2×D4—41no—
1381C2×D4—82no—
1382C2×D4C2×D4×C8911yescharacteristic
1383C2×D4C2×D4×C8911yescharacteristic
1384C2×D4C2×D4×C8911yescharacteristic
1385C2×D4C24×C8911yescharacteristic
1386C2×D4C24×C8911yescharacteristic
1387C2×D4C24×C8911yescharacteristic
1388C2×D4C24×C8911yescharacteristic
1389C2×D4C24×C8911yescharacteristic
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4C2×D4×C8911yescharacteristic
1404C22×C4C2×D4×C8911yescharacteristic
1405C22×C4C24×C8911yescharacteristic
1406C22×C4C24×C8911yescharacteristic
1407C22×C4C24×C8911yescharacteristic
1408Q16—41no—
1409Q16—41no—
1410SD16—41no—
1411SD16—41no—
1412SD16—41no—
1413SD16—41no—
1414SD16—41no—
1415SD16—41no—
1416D8—41no—
1417D8—41no—
1418D8—41no—
1419D8—41no—
1420M16—41no—
1421M16—41no—
1422C2×C8—41no—
1423C2×C8—41no—
1424C2×C8—41no—
1425C2×C8—41no—
1426C2×C8C24×C8911yescharacteristic
1427C2×C8C24×C8911yescharacteristic
1428C2×C8C24×C8911yescharacteristic
1429C2×C8C24×C8911yescharacteristic
1430C2×C8C24×C8911yescharacteristic
1431C2×C8C24×C8911yescharacteristic
1432C2×C8C24×C8911yescharacteristic
1433C2×C8C24×C8911yescharacteristic
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4C2×D4×C8911yescharacteristic
1464C4⋊C4C2×D4×C8911yescharacteristic
1465C4⋊C4C2×D4×C8911yescharacteristic
1466C4⋊C4C2×D4×C8911yescharacteristic
1467C4⋊C4C2×D4×C8911yescharacteristic
1468C4⋊C4C2×D4×C8911yescharacteristic
1469C4⋊C4C2×D4×C8911yescharacteristic
1470C4⋊C4C2×D4×C8911yescharacteristic
1471C4⋊C4C2×D4×C8911yescharacteristic
1472C4⋊C4C2×D4×C8911yescharacteristic
1473C4⋊C4C24×C8911yescharacteristic
1474C4⋊C4C24×C8911yescharacteristic
1475C4⋊C4C24×C8911yescharacteristic
1476C4⋊C4C24×C8911yescharacteristic
1477C4⋊C4C24×C8911yescharacteristic
1478C4⋊C4C24×C8911yescharacteristic
1479C4⋊C4C24×C8911yescharacteristic
1480C4⋊C4C24×C8911yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4C2×D4×C8911yescharacteristic
1515C22⋊C4C2×D4×C8911yescharacteristic
1516C22⋊C4C2×D4×C8911yescharacteristic
1517C22⋊C4C2×D4×C8911yescharacteristic
1518C22⋊C4C2×D4×C8911yescharacteristic
1519C22⋊C4C2×D4×C8911yescharacteristic
1520C22⋊C4C2×D4×C8911yescharacteristic
1521C22⋊C4C2×D4×C8911yescharacteristic
1522C22⋊C4C2×D4×C8911yescharacteristic
1523C22⋊C4C2×D4×C8911yescharacteristic
1524C42—21no—
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42—21no—
1533C42C2×D4×C8911yescharacteristic
1534C42C2×D4×C8911yescharacteristic
1535C42C24×C8911yescharacteristic
1536C42C24×C8911yescharacteristic
1537C42C24×C8911yescharacteristic
1538C42C24×C8911yescharacteristic
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—81no—
1545C23—81no—
1546C23—81no—
1547C23—81no—
1548C23—81no—
1549C23—81no—
1550C23C22×D4×C8911yescharacteristic
1551C23C22×D4×C8911yescharacteristic
1552C23C22×D4×C8911yescharacteristic
1553Q8—21no—
1554Q8—21no—
1555Q8—21no—
1556Q8—21no—
1557Q8—21no—
1558Q8—21no—
1559Q8—41no—
1560Q8—81no—
1561Q8—81no—
1562Q8—81no—
1563Q8—81no—
1564Q8—81no—
1565D4—21no—
1566D4—21no—
1567D4—21no—
1568D4—21no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—41no—
1576D4—41no—
1577D4—41no—
1578D4—42no—
1579D4—81no—
1580D4—81no—
1581D4—81no—
1582D4—81no—
1583D4—81no—
1584D4—81no—
1585D4—81no—
1586D4—81no—
1587D4—81no—
1588D4—81no—
1589D4—81no—
1590D4—81no—
1591D4—81no—
1592D4—81no—
1593D4—81no—
1594D4—81no—
1595D4—81no—
1596D4—81no—
1597D4—81no—
1598D4—81no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—42no—
1619C2×C4—42no—
1620C2×C4—81no—
1621C2×C4—81no—
1622C2×C4—81no—
1623C2×C4—81no—
1624C2×C4—81no—
1625C2×C4—81no—
1626C2×C4—81no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4C22×D4×C8911yescharacteristic
1632C2×C4C22×D4×C8911yescharacteristic
1633C2×C4C22×D4×C8911yescharacteristic
1634C2×C4C22×D4×C8911yescharacteristic
1635C2×C4C22×D4×C8911yescharacteristic
1636C2×C4C22×D4×C8911yescharacteristic
1637C2×C4C22×D4×C8911yescharacteristic
1638C2×C4C22×D4×C8911yescharacteristic
1639C2×C4C22×D4×C8911yescharacteristic
1640C2×C4C22×D4×C8911yescharacteristic
1641C2×C4C22×D4×C8911yescharacteristic
1642C2×C4C25×C8911yescharacteristic
1643C8—21no—
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—21no—
1649C8—21no—
1650C8—21no—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—162no—
1676C22—162no—
1677C22C23×D4×C8911yescharacteristic
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—21no—
1686C4—21no—
1687C4—21no—
1688C4—21no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4#585×C8911yescharacteristic
1701C4#585×C8911yescharacteristic
1702C2—41no—
1703C2—41no—
1704C2—41no—
1705C2—81no—
1706C2—81no—
1707C2—81no—
1708C2—81no—
1709C2—81no—
1710C2C89×#350011yescharacteristic
1711C2C89×#358411yescharacteristic
1712C2C89×#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×#3546C2semidirect
3. C89×#3377C2semidirect
4. C89×#3376C2semidirect
5. C89×#3368C2semidirect
6. C89×#3366C2semidirect
7. C89×#3319C2semidirect
8. C89×#3318C2semidirect
9. C89×#3317C2semidirect
10. C89×#3315C2semidirect
11. C89×#3311C2semidirect
12. C89×#3310C2semidirect
13. C89×#3309C2semidirect
14. C89×#3307C2semidirect
15. C89×#3305C2semidirect
16. C89×#3304C2semidirect
17. C89×#3297C2semidirect
18. C89×#3296C2semidirect
19. C89×#3244C2semidirect
20. C89×#3243C2semidirect
21. C89×#3228C2semidirect
22. C89×#3224C2semidirect
23. C89×#3224C2semidirect
24. C89×#3212C2semidirect
25. C89×#3180C2semidirect
26. C89×#3175C2semidirect
27. C89×#3173C2semidirect
28. C89×#3136C2semidirect
29. C89×#3136C2semidirect
30. C89×#3135C2semidirect
31. C89×#2968C2semidirect
36. #557×C89C22semidirect
39. #556×C89C22semidirect
40. #555×C89C22semidirect
41. #554×C89C22semidirect
44. #553×C89C22semidirect
47. #552×C89C22semidirect
56. #544×C89C22semidirect
57. #544×C89C22semidirect
62. #542×C89C22semidirect
63. #542×C89C22semidirect
72. #533×C89C22semidirect
76. #529×C89C22semidirect
77. #501×C89C22semidirect
78. #500×C89C22semidirect
79. #498×C89C22semidirect
81. #495×C89C22semidirect
82. #495×C89C22semidirect
83. #491×C89C22semidirect
84. #491×C89C22semidirect
88. #490×C89C22semidirect
89. #490×C89C22semidirect
92. #489×C89C22semidirect
93. #489×C89C22semidirect
94. #489×C89C22semidirect
95. #489×C89C22semidirect
96. #489×C89C22semidirect
99. #488×C89C22semidirect
100. #488×C89C22semidirect
103. #486×C89C22semidirect
104. #486×C89C22semidirect
105. #485×C89C22semidirect
106. #485×C89C22semidirect
107. #484×C89C22semidirect
108. #483×C89C22semidirect
113. #482×C89C22semidirect
114. #482×C89C22semidirect
117. #479×C89C22semidirect
118. #479×C89C22semidirect
121. #478×C89C22semidirect
122. #478×C89C22semidirect
123. #478×C89C22semidirect
124. #478×C89C22semidirect
125. #477×C89C22semidirect
126. #476×C89C22semidirect
127. #475×C89C22semidirect
128. #474×C89C22semidirect
129. #470×C89C22semidirect
132. #468×C89C22semidirect
133. #467×C89C22semidirect
136. #466×C89C22semidirect
139. #465×C89C22semidirect
140. #465×C89C22semidirect
145. #462×C89C22semidirect
146. #461×C89C22semidirect
148. #460×C89C22semidirect
149. #460×C89C22semidirect
151. #459×C89C22semidirect
152. #459×C89C22semidirect
153. #452×C89C22semidirect
154. #452×C89C22semidirect
155. #452×C89C22semidirect
156. #452×C89C22semidirect
159. #449×C89C22semidirect
160. #449×C89C22semidirect
161. #449×C89C22semidirect
162. #449×C89C22semidirect
165. #446×C89C22semidirect
166. #446×C89C22semidirect
168. #442×C89C22semidirect
169. #442×C89C22semidirect
170. #441×C89C22semidirect
172. #440×C89C22semidirect
173. #440×C89C22semidirect
174. #440×C89C22semidirect
175. C4×Q16×C89C22semidirect
176. C4×SD16×C89C22semidirect
177. C4×SD16×C89C22semidirect
178. C4×D8×C89C22semidirect
181. #435×C89C22semidirect
182. #435×C89C22semidirect
183. C8×D4×C89C22semidirect
184. C8×D4×C89C22semidirect
185. #433×C89C22semidirect
186. #433×C89C22semidirect
187. #431×C89C22semidirect
190. #417×C89C22semidirect
191. #417×C89C22semidirect
192. #416×C89C22semidirect
193. #416×C89C22semidirect
194. #416×C89C22semidirect
195. #416×C89C22semidirect
196. #416×C89C22semidirect
197. #416×C89C22semidirect
200. #405×C89C22semidirect
201. #405×C89C22semidirect
202. C2×#97×C89C22semidirect
845. #62607C89direct (N × H)
857. #3565C2×C89semidirect
858. #3546C2×C89semidirect
859. #3377C2×C89semidirect
860. #3376C2×C89semidirect
861. #3368C2×C89semidirect
862. #3366C2×C89semidirect
863. #3319C2×C89semidirect
864. #3318C2×C89semidirect
865. #3317C2×C89semidirect
866. #3315C2×C89semidirect
867. #3311C2×C89semidirect
868. #3310C2×C89semidirect
869. #3309C2×C89semidirect
870. #3307C2×C89semidirect
871. #3305C2×C89semidirect
872. #3304C2×C89semidirect
873. #3297C2×C89semidirect
874. #3296C2×C89semidirect
875. #3244C2×C89semidirect
876. #3243C2×C89semidirect
877. #3228C2×C89semidirect
878. #3224C2×C89semidirect
879. #3224C2×C89semidirect
880. #3212C2×C89semidirect
881. #3180C2×C89semidirect
882. #3175C2×C89semidirect
883. #3173C2×C89semidirect
884. #3136C2×C89semidirect
885. #3136C2×C89semidirect
886. #3135C2×C89semidirect
887. #2968C2×C89semidirect
888. C89#62607direct (N × H)
893. #557C22×C89semidirect
896. #556C22×C89semidirect
897. #555C22×C89semidirect
898. #554C22×C89semidirect
901. #553C22×C89semidirect
904. #552C22×C89semidirect
913. #544C22×C89semidirect
914. #544C22×C89semidirect
919. #542C22×C89semidirect
920. #542C22×C89semidirect
929. #533C22×C89semidirect
933. #529C22×C89semidirect
934. #501C22×C89semidirect
935. #500C22×C89semidirect
936. #498C22×C89semidirect
938. #495C22×C89semidirect
939. #495C22×C89semidirect
940. #491C22×C89semidirect
941. #491C22×C89semidirect
945. #490C22×C89semidirect
946. #490C22×C89semidirect
949. #489C22×C89semidirect
950. #489C22×C89semidirect
951. #489C22×C89semidirect
952. #489C22×C89semidirect
953. #489C22×C89semidirect
956. #488C22×C89semidirect
957. #488C22×C89semidirect
960. #486C22×C89semidirect
961. #486C22×C89semidirect
962. #485C22×C89semidirect
963. #485C22×C89semidirect
964. #484C22×C89semidirect
965. #483C22×C89semidirect
970. #482C22×C89semidirect
971. #482C22×C89semidirect
974. #479C22×C89semidirect
975. #479C22×C89semidirect
978. #478C22×C89semidirect
979. #478C22×C89semidirect
980. #478C22×C89semidirect
981. #478C22×C89semidirect
982. #477C22×C89semidirect
983. #476C22×C89semidirect
984. #475C22×C89semidirect
985. #474C22×C89semidirect
986. #470C22×C89semidirect
989. #468C22×C89semidirect
990. #467C22×C89semidirect
993. #466C22×C89semidirect
996. #465C22×C89semidirect
997. #465C22×C89semidirect
1002. #462C22×C89semidirect
1003. #461C22×C89semidirect
1005. #460C22×C89semidirect
1006. #460C22×C89semidirect
1008. #459C22×C89semidirect
1009. #459C22×C89semidirect
1010. #452C22×C89semidirect
1011. #452C22×C89semidirect
1012. #452C22×C89semidirect
1013. #452C22×C89semidirect
1016. #449C22×C89semidirect
1017. #449C22×C89semidirect
1018. #449C22×C89semidirect
1019. #449C22×C89semidirect
1022. #446C22×C89semidirect
1023. #446C22×C89semidirect
1025. #442C22×C89semidirect
1026. #442C22×C89semidirect
1027. #441C22×C89semidirect
1029. #440C22×C89semidirect
1030. #440C22×C89semidirect
1031. #440C22×C89semidirect
1032. C4×Q16C22×C89semidirect
1033. C4×SD16C22×C89semidirect
1034. C4×SD16C22×C89semidirect
1035. C4×D8C22×C89semidirect
1038. #435C22×C89semidirect
1039. #435C22×C89semidirect
1040. C8×D4C22×C89semidirect
1041. C8×D4C22×C89semidirect
1042. #433C22×C89semidirect
1043. #433C22×C89semidirect
1044. #431C22×C89semidirect
1047. #417C22×C89semidirect
1048. #417C22×C89semidirect
1049. #416C22×C89semidirect
1050. #416C22×C89semidirect
1051. #416C22×C89semidirect
1052. #416C22×C89semidirect
1053. #416C22×C89semidirect
1054. #416C22×C89semidirect
1057. #405C22×C89semidirect
1058. #405C22×C89semidirect
1059. C2×#97C22×C89semidirect

Maximal subgroups

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

subgroupindex
C89×#35652
C89×#35462
C89×#33772
C89×#33762
C89×#33682
C89×#33662
C89×#33192
C89×#33182
C89×#33172
C89×#33152
C89×#33112
C89×#33102
C89×#33092
C89×#33072
C89×#33052
C89×#33042
C89×#32972
C89×#32962
C89×#32442
C89×#32432
C89×#32282
C89×#32242
C89×#32122
C89×#31802
C89×#31752
C89×#31732
C89×#31362
C89×#31352
C89×#29682
#6260789