Finite Group Databasebeta

← C89×#62601 #36440449

Subgroups — C89×#62601 #36440449

Order 22784.

1726 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3562C211yesmaximal, characteristic, complemented
2C89×#3547C211yesmaximal, characteristic, complemented
3C89×#3376C211yesmaximal, characteristic, complemented
4C89×#3373C211yesmaximal, characteristic, complemented
5C89×#3370C211yesmaximal, characteristic, complemented
6C89×#3367C211yesmaximal, characteristic, complemented
7C89×#3321C211yesmaximal, characteristic, complemented
8C89×#3321C211yesmaximal, characteristic, complemented
9C89×#3319C211yesmaximal, characteristic, complemented
10C89×#3319C211yesmaximal, characteristic, complemented
11C89×#3309C211yesmaximal, characteristic, complemented
12C89×#3308C211yesmaximal, characteristic, complemented
13C89×#3307C211yesmaximal, characteristic, complemented
14C89×#3306C211yesmaximal, characteristic, complemented
15C89×#3305C211yesmaximal, characteristic, complemented
16C89×#3303C211yesmaximal, characteristic, complemented
17C89×#3301C211yesmaximal, characteristic, complemented
18C89×#3297C211yesmaximal, characteristic, complemented
19C89×#3242C211yesmaximal, characteristic, complemented
20C89×#3241C211yesmaximal, characteristic, complemented
21C89×#3233C211yesmaximal, characteristic, complemented
22C89×#3221C211yesmaximal, characteristic, complemented
23C89×#3220C211yesmaximal, characteristic, complemented
24C89×#3207C211yesmaximal, characteristic, complemented
25C89×#3180C211yesmaximal, characteristic, complemented
26C89×#3176C211yesmaximal, characteristic, complemented
27C89×#3174C211yesmaximal, characteristic, complemented
28C89×#3137C211yesmaximal, characteristic, complemented
29C89×#3136C211yesmaximal, characteristic, complemented
30C89×#3135C211yesmaximal, characteristic, complemented
31C89×#2968C211yesmaximal, characteristic, complemented
32#562×C89—21no—
33#562×C89—21no—
34#562×C89—21no—
35#560×C89—21no—
36#559×C89C2211yescharacteristic
37#556×C89C2211yescharacteristic
38#555×C89C2211yescharacteristic
39#555×C89C2211yescharacteristic
40#555×C89C2211yescharacteristic, complemented
41#554×C89C2211yescharacteristic, complemented
42#553×C89—21no—
43#553×C89C2211yescharacteristic
44#553×C89C2211yescharacteristic, complemented
45#552×C89—21no—
46#551×C89—21no—
47#550×C89C2211yescharacteristic
48D4×Q8×C89C2211yescharacteristic, complemented
49#548×C89—21no—
50#548×C89C2211yescharacteristic
51#548×C89C2211yescharacteristic
52#547×C89C2211yescharacteristic
53#547×C89C2211yescharacteristic
54#546×C89C2211yescharacteristic
55#546×C89C2211yescharacteristic
56#544×C89C2211yescharacteristic
57#544×C89C2211yescharacteristic, complemented
58#542×C89—21no—
59#542×C89—21no—
60#541×C89C2211yescharacteristic
61#540×C89—21no—
62#540×C89C2211yescharacteristic
63#540×C89C2211yescharacteristic
64#540×C89C2211yescharacteristic, complemented
65#539×C89—21no—
66#538×C89—21no—
67#538×C89—21no—
68#537×C89—21no—
69#536×C89—21no—
70#536×C89C2211yescharacteristic
71#535×C89C2211yescharacteristic
72#533×C89C2211yescharacteristic, complemented
73#532×C89C2211yescharacteristic
74#532×C89C2211yescharacteristic, complemented
75#529×C89C2211yescharacteristic
76#529×C89C2211yescharacteristic
77#501×C89C2211yescharacteristic, complemented
78#499×C89C2211yescharacteristic, complemented
79#499×C89C2211yescharacteristic, complemented
80#496×C89C2211yescharacteristic
81#493×C89C2211yescharacteristic
82#492×C89C2211yescharacteristic, complemented
83#491×C89C2211yescharacteristic, complemented
84#491×C89C2211yescharacteristic, complemented
85#491×C89C2211yescharacteristic, complemented
86#490×C89C2211yescharacteristic
87#490×C89C2211yescharacteristic
88#490×C89C2211yescharacteristic
89#490×C89C2211yescharacteristic, complemented
90#489×C89C2211yescharacteristic
91#489×C89C2211yescharacteristic
92#489×C89C2211yescharacteristic
93#489×C89C2211yescharacteristic
94#489×C89C2211yescharacteristic
95#489×C89C2211yescharacteristic, complemented
96#489×C89C2211yescharacteristic, complemented
97#488×C89C2211yescharacteristic
98#488×C89C2211yescharacteristic
99#488×C89C2211yescharacteristic
100#488×C89C2211yescharacteristic
101#487×C89C2211yescharacteristic, complemented
102#487×C89C2211yescharacteristic, complemented
103#486×C89C2211yescharacteristic
104#486×C89C2211yescharacteristic
105#485×C89C2211yescharacteristic
106#485×C89C2211yescharacteristic
107#485×C89C2211yescharacteristic, complemented
108#485×C89C2211yescharacteristic, complemented
109#484×C89C2211yescharacteristic
110#483×C89C2211yescharacteristic
111#482×C89C2211yescharacteristic
112#482×C89C2211yescharacteristic
113#482×C89C2211yescharacteristic
114#482×C89C2211yescharacteristic, complemented
115#481×C89C2211yescharacteristic
116#480×C89C2211yescharacteristic, complemented
117#479×C89C2211yescharacteristic, complemented
118#479×C89C2211yescharacteristic, complemented
119#478×C89C2211yescharacteristic
120#478×C89C2211yescharacteristic, complemented
121#477×C89C2211yescharacteristic, complemented
122#477×C89C2211yescharacteristic, complemented
123#476×C89C2211yescharacteristic
124#476×C89C2211yescharacteristic, complemented
125#475×C89C2211yescharacteristic, complemented
126#475×C89C2211yescharacteristic, complemented
127#474×C89C2211yescharacteristic
128#474×C89C2211yescharacteristic
129#469×C89C2211yescharacteristic
130#469×C89C2211yescharacteristic, complemented
131#468×C89C2211yescharacteristic
132#468×C89C2211yescharacteristic
133#466×C89C2211yescharacteristic
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#463×C89C2211yescharacteristic
142#463×C89C2211yescharacteristic
143#463×C89C2211yescharacteristic
144#463×C89C2211yescharacteristic
145#463×C89C2211yescharacteristic
146#463×C89C2211yescharacteristic
147#463×C89C2211yescharacteristic, complemented
148#463×C89C2211yescharacteristic, complemented
149#461×C89C2211yescharacteristic, complemented
150#461×C89C2211yescharacteristic, complemented
151#459×C89C2211yescharacteristic
152#459×C89C2211yescharacteristic
153#449×C89C2211yescharacteristic
154#449×C89C2211yescharacteristic
155#449×C89C2211yescharacteristic
156#449×C89C2211yescharacteristic
157#449×C89C2211yescharacteristic
158#449×C89C2211yescharacteristic
159#449×C89C2211yescharacteristic, complemented
160#449×C89C2211yescharacteristic, complemented
161#448×C89C2211yescharacteristic, complemented
162#448×C89C2211yescharacteristic, complemented
163#447×C89C2211yescharacteristic
164#447×C89C2211yescharacteristic
165#446×C89C2211yescharacteristic, complemented
166#446×C89C2211yescharacteristic, complemented
167#442×C89C2211yescharacteristic
168#442×C89C2211yescharacteristic
169#442×C89C2211yescharacteristic
170#442×C89C2211yescharacteristic, complemented
171#440×C89C2211yescharacteristic, complemented
172#440×C89C2211yescharacteristic, complemented
173#440×C89C2211yescharacteristic, complemented
174#440×C89C2211yescharacteristic, complemented
175C4×SD16×C89C2211yescharacteristic, complemented
176C4×SD16×C89C2211yescharacteristic, complemented
177C4×D8×C89C2211yescharacteristic
178C4×D8×C89C2211yescharacteristic, complemented
179#435×C89C2211yescharacteristic
180#435×C89C2211yescharacteristic
181#435×C89C2211yescharacteristic
182#435×C89C2211yescharacteristic, complemented
183C8×D4×C89C2211yescharacteristic
184C8×D4×C89C2211yescharacteristic, complemented
185#433×C89C2211yescharacteristic
186#433×C89C2211yescharacteristic, complemented
187#431×C89C2211yescharacteristic, complemented
188#419×C89C2211yescharacteristic, complemented
189#418×C89C2211yescharacteristic
190#417×C89C2211yescharacteristic
191#417×C89C2211yescharacteristic
192#416×C89C2211yescharacteristic
193#416×C89C2211yescharacteristic
194#416×C89C2211yescharacteristic
195#416×C89C2211yescharacteristic
196#416×C89C2211yescharacteristic, complemented
197#416×C89C2211yescharacteristic, complemented
198C2×#103×C89C2211yescharacteristic, complemented
199C2×#102×C89C2211yescharacteristic
200#405×C89C2211yescharacteristic
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×Q8×C89—21no—
210C22×Q8×C89C2311yescharacteristic
211C22×D4×C89C2311yescharacteristic
212C2×SD16×C89C2311yescharacteristic
213C2×SD16×C89C2311yescharacteristic
214C2×SD16×C89C2311yescharacteristic
215C2×SD16×C89C2311yescharacteristic
216C2×SD16×C89C2311yescharacteristic
217C2×SD16×C89C2311yescharacteristic
218C2×D8×C89C2311yescharacteristic
219C2×D8×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×C89C2311yescharacteristic
233C4⋊Q8×C89C2311yescharacteristic
234C4⋊Q8×C89C2311yescharacteristic
235C4⋊Q8×C89C2311yescharacteristic
236C4⋊Q8×C89C2311yescharacteristic
237C4⋊Q8×C89C2311yescharacteristic
238C4⋊Q8×C89C2311yescharacteristic
239#127×C89—21no—
240#127×C89C2311yescharacteristic
241#127×C89C2311yescharacteristic
242#127×C89C2311yescharacteristic
243#126×C89—21no—
244#126×C89—21no—
245#126×C89—21no—
246#126×C89—21no—
247#126×C89—21no—
248#126×C89—21no—
249#126×C89—21no—
250#126×C89D411yescharacteristic
251#126×C89D411yescharacteristic
252#125×C89—21no—
253#125×C89—21no—
254#125×C89—21no—
255#125×C89—21no—
256#125×C89D411yescharacteristic
257#125×C89C2311yescharacteristic
258#125×C89C2311yescharacteristic
259#125×C89C2311yescharacteristic
260#125×C89C2311yescharacteristic
261#125×C89C2311yescharacteristic
262#124×C89—21no—
263#124×C89—21no—
264#124×C89—21no—
265#124×C89—21no—
266#124×C89—21no—
267#124×C89—21no—
268#124×C89—21no—
269#124×C89—21no—
270#124×C89—21no—
271#124×C89—21no—
272#124×C89D411yescharacteristic
273#124×C89C2311yescharacteristic
274#124×C89C2311yescharacteristic
275#124×C89C2311yescharacteristic
276#124×C89C2311yescharacteristic
277#124×C89C2311yescharacteristic
278#123×C89—21no—
279#123×C89—21no—
280#123×C89—21no—
281#123×C89—21no—
282#123×C89—21no—
283#123×C89—21no—
284#123×C89—21no—
285#123×C89—21no—
286#123×C89—21no—
287#123×C89—21no—
288#123×C89—21no—
289#123×C89—21no—
290#123×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×C89D411yescharacteristic
298#123×C89D411yescharacteristic
299C22⋊Q8×C89—21no—
300C22⋊Q8×C89—21no—
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×C89—21no—
316C22⋊Q8×C89—21no—
317C22⋊Q8×C89D411yescharacteristic
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×C89—21no—
343#121×C89—21no—
344#121×C89D411yescharacteristic
345#121×C89C2311yescharacteristic
346#121×C89C2311yescharacteristic
347#121×C89C2311yescharacteristic
348#121×C89C2311yescharacteristic
349#121×C89C2311yescharacteristic
350#121×C89C2311yescharacteristic
351#121×C89C2311yescharacteristic
352#121×C89C2311yescharacteristic
353#121×C89C2311yescharacteristic
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×C89C2311yescharacteristic
361C4×Q8×C89C2311yescharacteristic
362C4×Q8×C89C2311yescharacteristic
363C4×Q8×C89C2311yescharacteristic
364C4×D4×C89—21no—
365C4×D4×C89—21no—
366C4×D4×C89—21no—
367C4×D4×C89—21no—
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×C89C2311yescharacteristic
375C4×D4×C89C2311yescharacteristic
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#103×C89C2311yescharacteristic
437#103×C89C2311yescharacteristic
438#103×C89C2311yescharacteristic
439#103×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—
479#41×C89—41no—
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—82no—
488#41×C89—82no—
489C2×Q8×C89—21no—
490C2×Q8×C89—21no—
491C2×Q8×C89—21no—
492C2×Q8×C89—21no—
493C2×Q8×C89—21no—
494C2×Q8×C89—21no—
495C2×Q8×C89—41no—
496C2×Q8×C89—41no—
497C2×Q8×C89—82no—
498C2×Q8×C89C2×D411yescharacteristic
499C2×Q8×C89C2411yescharacteristic
500C2×Q8×C89C2411yescharacteristic
501C2×Q8×C89C2411yescharacteristic
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—21no—
521C2×D4×C89—21no—
522C2×D4×C89—41no—
523C2×D4×C89—41no—
524C2×D4×C89C2×D411yescharacteristic
525C2×D4×C89C2×D411yescharacteristic
526C2×D4×C89C2×D411yescharacteristic
527C2×D4×C89C2411yescharacteristic
528C2×D4×C89C2411yescharacteristic
529C2×D4×C89C2411yescharacteristic
530C2×D4×C89C2411yescharacteristic
531C2×D4×C89C2411yescharacteristic
532C22×C4×C89—21no—
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×C89—21no—
547C22×C4×C89—21no—
548C22×C4×C89C2×D411yescharacteristic
549C22×C4×C89C2×D411yescharacteristic
550C22×C4×C89C2411yescharacteristic
551C22×C4×C89C2411yescharacteristic
552C22×C4×C89C2411yescharacteristic
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—
563D8×C89—41no—
564D8×C89—41no—
565M16×C89—41no—
566M16×C89—41no—
567C2×C8×C89—41no—
568C2×C8×C89—41no—
569C2×C8×C89—41no—
570C2×C8×C89—41no—
571C2×C8×C89C2411yescharacteristic
572C2×C8×C89C2411yescharacteristic
573C2×C8×C89C2411yescharacteristic
574C2×C8×C89C2411yescharacteristic
575C2×C8×C89C2411yescharacteristic
576C2×C8×C89C2411yescharacteristic
577C2×C8×C89C2411yescharacteristic
578C2×C8×C89C2411yescharacteristic
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×C89—21no—
658C22⋊C4×C89—21no—
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
667C22⋊C4×C89C2×D411yescharacteristic
668C22⋊C4×C89C2×D411yescharacteristic
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×C89C22×D411yescharacteristic
691C23×C89C22×D411yescharacteristic
692C23×C89C22×D411yescharacteristic
693Q8×C89—21no—
694Q8×C89—21no—
695Q8×C89—21no—
696Q8×C89—21no—
697Q8×C89—21no—
698Q8×C89—21no—
699Q8×C89—41no—
700Q8×C89—42no—
701Q8×C89—81no—
702Q8×C89—81no—
703Q8×C89—81no—
704Q8×C89—81no—
705Q8×C89—81no—
706D4×C89—21no—
707D4×C89—21no—
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—41no—
717D4×C89—41no—
718D4×C89—41no—
719D4×C89—81no—
720D4×C89—81no—
721D4×C89—81no—
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—
739C2×C4×C89—21no—
740C2×C4×C89—21no—
741C2×C4×C89—21no—
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—41no—
757C2×C4×C89—41no—
758C2×C4×C89—42no—
759C2×C4×C89—42no—
760C2×C4×C89—81no—
761C2×C4×C89—81no—
762C2×C4×C89—81no—
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×C89C23×D411yescharacteristic
820C4×C89—21no—
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—41no—
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#58511yescharacteristic
843C4×C89#58511yescharacteristic
844#62601C8911yesmaximal, characteristic, direct product factor, Sylow
845C2×C89—41no—
846C2×C89—41no—
847C2×C89—41no—
848C2×C89—81no—
849C2×C89—81no—
850C2×C89—81no—
851C2×C89—81no—
852C2×C89—81no—
853C2×C89#350011yescharacteristic
854C2×C89#358411yescharacteristic
855C2×C89#358511yescharacteristic
856#3562C2×C8911yescharacteristic, complemented
857#3547C2×C8911yescharacteristic, complemented
858#3376C2×C8911yescharacteristic, complemented
859#3373C2×C8911yescharacteristic, complemented
860#3370C2×C8911yescharacteristic, complemented
861#3367C2×C8911yescharacteristic, complemented
862#3321C2×C8911yescharacteristic, complemented
863#3321C2×C8911yescharacteristic, complemented
864#3319C2×C8911yescharacteristic, complemented
865#3319C2×C8911yescharacteristic, complemented
866#3309C2×C8911yescharacteristic, complemented
867#3308C2×C8911yescharacteristic, complemented
868#3307C2×C8911yescharacteristic, complemented
869#3306C2×C8911yescharacteristic, complemented
870#3305C2×C8911yescharacteristic, complemented
871#3303C2×C8911yescharacteristic, complemented
872#3301C2×C8911yescharacteristic, complemented
873#3297C2×C8911yescharacteristic, complemented
874#3242C2×C8911yescharacteristic, complemented
875#3241C2×C8911yescharacteristic, complemented
876#3233C2×C8911yescharacteristic, complemented
877#3221C2×C8911yescharacteristic, complemented
878#3220C2×C8911yescharacteristic, complemented
879#3207C2×C8911yescharacteristic, complemented
880#3180C2×C8911yescharacteristic, complemented
881#3176C2×C8911yescharacteristic, complemented
882#3174C2×C8911yescharacteristic, complemented
883#3137C2×C8911yescharacteristic, complemented
884#3136C2×C8911yescharacteristic, complemented
885#3135C2×C8911yescharacteristic, complemented
886#2968C2×C8911yescharacteristic, complemented
887C89#6260111yescharacteristic, direct product factor, Sylow
888#562—21no—
889#562—21no—
890#562—21no—
891#560—21no—
892#559C22×C8911yescharacteristic
893#556C22×C8911yescharacteristic
894#555C22×C8911yescharacteristic
895#555C22×C8911yescharacteristic
896#555C22×C8911yescharacteristic, complemented
897#554C22×C8911yescharacteristic, complemented
898#553—21no—
899#553C22×C8911yescharacteristic
900#553C22×C8911yescharacteristic, complemented
901#552—21no—
902#551—21no—
903#550C22×C8911yescharacteristic
904D4×Q8C22×C8911yescharacteristic, complemented
905#548—21no—
906#548C22×C8911yescharacteristic
907#548C22×C8911yescharacteristic
908#547C22×C8911yescharacteristic
909#547C22×C8911yescharacteristic
910#546C22×C8911yescharacteristic
911#546C22×C8911yescharacteristic
912#544C22×C8911yescharacteristic
913#544C22×C8911yescharacteristic, complemented
914#542—21no—
915#542—21no—
916#541C22×C8911yescharacteristic
917#540—21no—
918#540C22×C8911yescharacteristic
919#540C22×C8911yescharacteristic
920#540C22×C8911yescharacteristic, complemented
921#539—21no—
922#538—21no—
923#538—21no—
924#537—21no—
925#536—21no—
926#536C22×C8911yescharacteristic
927#535C22×C8911yescharacteristic
928#533C22×C8911yescharacteristic, complemented
929#532C22×C8911yescharacteristic
930#532C22×C8911yescharacteristic, complemented
931#529C22×C8911yescharacteristic
932#529C22×C8911yescharacteristic
933#501C22×C8911yescharacteristic, complemented
934#499C22×C8911yescharacteristic, complemented
935#499C22×C8911yescharacteristic, complemented
936#496C22×C8911yescharacteristic
937#493C22×C8911yescharacteristic
938#492C22×C8911yescharacteristic, complemented
939#491C22×C8911yescharacteristic, complemented
940#491C22×C8911yescharacteristic, complemented
941#491C22×C8911yescharacteristic, complemented
942#490C22×C8911yescharacteristic
943#490C22×C8911yescharacteristic
944#490C22×C8911yescharacteristic
945#490C22×C8911yescharacteristic, complemented
946#489C22×C8911yescharacteristic
947#489C22×C8911yescharacteristic
948#489C22×C8911yescharacteristic
949#489C22×C8911yescharacteristic
950#489C22×C8911yescharacteristic
951#489C22×C8911yescharacteristic, complemented
952#489C22×C8911yescharacteristic, complemented
953#488C22×C8911yescharacteristic
954#488C22×C8911yescharacteristic
955#488C22×C8911yescharacteristic
956#488C22×C8911yescharacteristic
957#487C22×C8911yescharacteristic, complemented
958#487C22×C8911yescharacteristic, complemented
959#486C22×C8911yescharacteristic
960#486C22×C8911yescharacteristic
961#485C22×C8911yescharacteristic
962#485C22×C8911yescharacteristic
963#485C22×C8911yescharacteristic, complemented
964#485C22×C8911yescharacteristic, complemented
965#484C22×C8911yescharacteristic
966#483C22×C8911yescharacteristic
967#482C22×C8911yescharacteristic
968#482C22×C8911yescharacteristic
969#482C22×C8911yescharacteristic
970#482C22×C8911yescharacteristic, complemented
971#481C22×C8911yescharacteristic
972#480C22×C8911yescharacteristic, complemented
973#479C22×C8911yescharacteristic, complemented
974#479C22×C8911yescharacteristic, complemented
975#478C22×C8911yescharacteristic
976#478C22×C8911yescharacteristic, complemented
977#477C22×C8911yescharacteristic, complemented
978#477C22×C8911yescharacteristic, complemented
979#476C22×C8911yescharacteristic
980#476C22×C8911yescharacteristic, complemented
981#475C22×C8911yescharacteristic, complemented
982#475C22×C8911yescharacteristic, complemented
983#474C22×C8911yescharacteristic
984#474C22×C8911yescharacteristic
985#469C22×C8911yescharacteristic
986#469C22×C8911yescharacteristic, complemented
987#468C22×C8911yescharacteristic
988#468C22×C8911yescharacteristic
989#466C22×C8911yescharacteristic
990#466C22×C8911yescharacteristic
991#466C22×C8911yescharacteristic
992#466C22×C8911yescharacteristic, complemented
993#465C22×C8911yescharacteristic
994#465C22×C8911yescharacteristic
995#465C22×C8911yescharacteristic, complemented
996#465C22×C8911yescharacteristic, complemented
997#463C22×C8911yescharacteristic
998#463C22×C8911yescharacteristic
999#463C22×C8911yescharacteristic
1000#463C22×C8911yescharacteristic
1001#463C22×C8911yescharacteristic
1002#463C22×C8911yescharacteristic
1003#463C22×C8911yescharacteristic, complemented
1004#463C22×C8911yescharacteristic, complemented
1005#461C22×C8911yescharacteristic, complemented
1006#461C22×C8911yescharacteristic, complemented
1007#459C22×C8911yescharacteristic
1008#459C22×C8911yescharacteristic
1009#449C22×C8911yescharacteristic
1010#449C22×C8911yescharacteristic
1011#449C22×C8911yescharacteristic
1012#449C22×C8911yescharacteristic
1013#449C22×C8911yescharacteristic
1014#449C22×C8911yescharacteristic
1015#449C22×C8911yescharacteristic, complemented
1016#449C22×C8911yescharacteristic, complemented
1017#448C22×C8911yescharacteristic, complemented
1018#448C22×C8911yescharacteristic, complemented
1019#447C22×C8911yescharacteristic
1020#447C22×C8911yescharacteristic
1021#446C22×C8911yescharacteristic, complemented
1022#446C22×C8911yescharacteristic, complemented
1023#442C22×C8911yescharacteristic
1024#442C22×C8911yescharacteristic
1025#442C22×C8911yescharacteristic
1026#442C22×C8911yescharacteristic, complemented
1027#440C22×C8911yescharacteristic, complemented
1028#440C22×C8911yescharacteristic, complemented
1029#440C22×C8911yescharacteristic, complemented
1030#440C22×C8911yescharacteristic, complemented
1031C4×SD16C22×C8911yescharacteristic, complemented
1032C4×SD16C22×C8911yescharacteristic, complemented
1033C4×D8C22×C8911yescharacteristic
1034C4×D8C22×C8911yescharacteristic, complemented
1035#435C22×C8911yescharacteristic
1036#435C22×C8911yescharacteristic
1037#435C22×C8911yescharacteristic
1038#435C22×C8911yescharacteristic, complemented
1039C8×D4C22×C8911yescharacteristic
1040C8×D4C22×C8911yescharacteristic, complemented
1041#433C22×C8911yescharacteristic
1042#433C22×C8911yescharacteristic, complemented
1043#431C22×C8911yescharacteristic, complemented
1044#419C22×C8911yescharacteristic, complemented
1045#418C22×C8911yescharacteristic
1046#417C22×C8911yescharacteristic
1047#417C22×C8911yescharacteristic
1048#416C22×C8911yescharacteristic
1049#416C22×C8911yescharacteristic
1050#416C22×C8911yescharacteristic
1051#416C22×C8911yescharacteristic
1052#416C22×C8911yescharacteristic, complemented
1053#416C22×C8911yescharacteristic, complemented
1054C2×#103C22×C8911yescharacteristic, complemented
1055C2×#102C22×C8911yescharacteristic
1056#405C22×C8911yescharacteristic
1057#405C22×C8911yescharacteristic, complemented
1058C2×#97C22×C8911yescharacteristic, complemented
1059C2×#41—21no—
1060C2×#41—21no—
1061C2×#41C23×C8911yescharacteristic
1062C2×#41C23×C8911yescharacteristic
1063C2×#41C23×C8911yescharacteristic
1064C2×#41C23×C8911yescharacteristic
1065C22×Q8—21no—
1066C22×Q8C23×C8911yescharacteristic
1067C22×D4C23×C8911yescharacteristic
1068C2×SD16C23×C8911yescharacteristic
1069C2×SD16C23×C8911yescharacteristic
1070C2×SD16C23×C8911yescharacteristic
1071C2×SD16C23×C8911yescharacteristic
1072C2×SD16C23×C8911yescharacteristic
1073C2×SD16C23×C8911yescharacteristic
1074C2×D8C23×C8911yescharacteristic
1075C2×D8C23×C8911yescharacteristic
1076C2×D8C23×C8911yescharacteristic
1077C2×D8C23×C8911yescharacteristic
1078C2×D8C23×C8911yescharacteristic
1079C2×D8C23×C8911yescharacteristic
1080C2×M16C23×C8911yescharacteristic
1081C2×M16C23×C8911yescharacteristic
1082C22×C8C23×C8911yescharacteristic
1083C22×C8C23×C8911yescharacteristic
1084C22×C8C23×C8911yescharacteristic
1085C22×C8C23×C8911yescharacteristic
1086C4⋊Q8—21no—
1087C4⋊Q8—21no—
1088C4⋊Q8C23×C8911yescharacteristic
1089C4⋊Q8C23×C8911yescharacteristic
1090C4⋊Q8C23×C8911yescharacteristic
1091C4⋊Q8C23×C8911yescharacteristic
1092C4⋊Q8C23×C8911yescharacteristic
1093C4⋊Q8C23×C8911yescharacteristic
1094C4⋊Q8C23×C8911yescharacteristic
1095#127—21no—
1096#127C23×C8911yescharacteristic
1097#127C23×C8911yescharacteristic
1098#127C23×C8911yescharacteristic
1099#126—21no—
1100#126—21no—
1101#126—21no—
1102#126—21no—
1103#126—21no—
1104#126—21no—
1105#126—21no—
1106#126D4×C8911yescharacteristic
1107#126D4×C8911yescharacteristic
1108#125—21no—
1109#125—21no—
1110#125—21no—
1111#125—21no—
1112#125D4×C8911yescharacteristic
1113#125C23×C8911yescharacteristic
1114#125C23×C8911yescharacteristic
1115#125C23×C8911yescharacteristic
1116#125C23×C8911yescharacteristic
1117#125C23×C8911yescharacteristic
1118#124—21no—
1119#124—21no—
1120#124—21no—
1121#124—21no—
1122#124—21no—
1123#124—21no—
1124#124—21no—
1125#124—21no—
1126#124—21no—
1127#124—21no—
1128#124D4×C8911yescharacteristic
1129#124C23×C8911yescharacteristic
1130#124C23×C8911yescharacteristic
1131#124C23×C8911yescharacteristic
1132#124C23×C8911yescharacteristic
1133#124C23×C8911yescharacteristic
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123—21no—
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#123D4×C8911yescharacteristic
1154#123D4×C8911yescharacteristic
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—21no—
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⋊Q8—21no—
1173C22⋊Q8D4×C8911yescharacteristic
1174C22⋊Q8C23×C8911yescharacteristic
1175C22⋊Q8C23×C8911yescharacteristic
1176C22⋊Q8C23×C8911yescharacteristic
1177#121—21no—
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#121—21no—
1200#121D4×C8911yescharacteristic
1201#121C23×C8911yescharacteristic
1202#121C23×C8911yescharacteristic
1203#121C23×C8911yescharacteristic
1204#121C23×C8911yescharacteristic
1205#121C23×C8911yescharacteristic
1206#121C23×C8911yescharacteristic
1207#121C23×C8911yescharacteristic
1208#121C23×C8911yescharacteristic
1209#121C23×C8911yescharacteristic
1210#120—21no—
1211#120—21no—
1212#120—21no—
1213#120—21no—
1214C4×Q8—21no—
1215C4×Q8—21no—
1216C4×Q8C23×C8911yescharacteristic
1217C4×Q8C23×C8911yescharacteristic
1218C4×Q8C23×C8911yescharacteristic
1219C4×Q8C23×C8911yescharacteristic
1220C4×D4—21no—
1221C4×D4—21no—
1222C4×D4—21no—
1223C4×D4—21no—
1224C4×D4—21no—
1225C4×D4—21no—
1226C4×D4—21no—
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4C23×C8911yescharacteristic
1231C4×D4C23×C8911yescharacteristic
1232C4×D4C23×C8911yescharacteristic
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
1242#117—21no—
1243#117—21no—
1244#117—21no—
1245#117—21no—
1246#117—21no—
1247#117C23×C8911yescharacteristic
1248#117C23×C8911yescharacteristic
1249#117C23×C8911yescharacteristic
1250#117C23×C8911yescharacteristic
1251#117C23×C8911yescharacteristic
1252#117C23×C8911yescharacteristic
1253C2×C4⋊C4—21no—
1254C2×C4⋊C4—21no—
1255C2×C4⋊C4C23×C8911yescharacteristic
1256C2×C4⋊C4C23×C8911yescharacteristic
1257C2×C22⋊C4—21no—
1258C2×C22⋊C4—21no—
1259C2×C42C23×C8911yescharacteristic
1260#107C23×C8911yescharacteristic
1261#107C23×C8911yescharacteristic
1262#107C23×C8911yescharacteristic
1263#107C23×C8911yescharacteristic
1264#107C23×C8911yescharacteristic
1265#107C23×C8911yescharacteristic
1266#106C23×C8911yescharacteristic
1267#106C23×C8911yescharacteristic
1268#106C23×C8911yescharacteristic
1269#106C23×C8911yescharacteristic
1270#106C23×C8911yescharacteristic
1271#106C23×C8911yescharacteristic
1272C4⋊C8C23×C8911yescharacteristic
1273C4⋊C8C23×C8911yescharacteristic
1274C4⋊C8C23×C8911yescharacteristic
1275C4⋊C8C23×C8911yescharacteristic
1276C4⋊C8C23×C8911yescharacteristic
1277C4⋊C8C23×C8911yescharacteristic
1278#103C23×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#103C23×C8911yescharacteristic
1294#103C23×C8911yescharacteristic
1295#103C23×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
1318C22⋊C8C23×C8911yescharacteristic
1319C22⋊C8C23×C8911yescharacteristic
1320C22⋊C8C23×C8911yescharacteristic
1321C22⋊C8C23×C8911yescharacteristic
1322C22⋊C8C23×C8911yescharacteristic
1323C22⋊C8C23×C8911yescharacteristic
1324#97C23×C8911yescharacteristic
1325#97C23×C8911yescharacteristic
1326#97C23×C8911yescharacteristic
1327#97C23×C8911yescharacteristic
1328#97C23×C8911yescharacteristic
1329#97C23×C8911yescharacteristic
1330C4×C8C23×C8911yescharacteristic
1331C4×C8C23×C8911yescharacteristic
1332C4×C8C23×C8911yescharacteristic
1333C4×C8C23×C8911yescharacteristic
1334C24—21no—
1335#41—41no—
1336#41—41no—
1337#41—41no—
1338#41—41no—
1339#41—41no—
1340#41—41no—
1341#41—41no—
1342#41—41no—
1343#41—82no—
1344#41—82no—
1345C2×Q8—21no—
1346C2×Q8—21no—
1347C2×Q8—21no—
1348C2×Q8—21no—
1349C2×Q8—21no—
1350C2×Q8—21no—
1351C2×Q8—41no—
1352C2×Q8—41no—
1353C2×Q8—82no—
1354C2×Q8C2×D4×C8911yescharacteristic
1355C2×Q8C24×C8911yescharacteristic
1356C2×Q8C24×C8911yescharacteristic
1357C2×Q8C24×C8911yescharacteristic
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—21no—
1378C2×D4—41no—
1379C2×D4—41no—
1380C2×D4C2×D4×C8911yescharacteristic
1381C2×D4C2×D4×C8911yescharacteristic
1382C2×D4C2×D4×C8911yescharacteristic
1383C2×D4C24×C8911yescharacteristic
1384C2×D4C24×C8911yescharacteristic
1385C2×D4C24×C8911yescharacteristic
1386C2×D4C24×C8911yescharacteristic
1387C2×D4C24×C8911yescharacteristic
1388C22×C4—21no—
1389C22×C4—21no—
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×C4—21no—
1404C22×C4C2×D4×C8911yescharacteristic
1405C22×C4C2×D4×C8911yescharacteristic
1406C22×C4C24×C8911yescharacteristic
1407C22×C4C24×C8911yescharacteristic
1408C22×C4C24×C8911yescharacteristic
1409SD16—41no—
1410SD16—41no—
1411SD16—41no—
1412SD16—41no—
1413SD16—41no—
1414SD16—41no—
1415D8—41no—
1416D8—41no—
1417D8—41no—
1418D8—41no—
1419D8—41no—
1420D8—41no—
1421M16—41no—
1422M16—41no—
1423C2×C8—41no—
1424C2×C8—41no—
1425C2×C8—41no—
1426C2×C8—41no—
1427C2×C8C24×C8911yescharacteristic
1428C2×C8C24×C8911yescharacteristic
1429C2×C8C24×C8911yescharacteristic
1430C2×C8C24×C8911yescharacteristic
1431C2×C8C24×C8911yescharacteristic
1432C2×C8C24×C8911yescharacteristic
1433C2×C8C24×C8911yescharacteristic
1434C2×C8C24×C8911yescharacteristic
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⋊C4C2×D4×C8911yescharacteristic
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⋊C4C24×C8911yescharacteristic
1473C4⋊C4C24×C8911yescharacteristic
1474C4⋊C4C24×C8911yescharacteristic
1475C4⋊C4C24×C8911yescharacteristic
1476C4⋊C4C24×C8911yescharacteristic
1477C4⋊C4C24×C8911yescharacteristic
1478C4⋊C4C24×C8911yescharacteristic
1479C4⋊C4C24×C8911yescharacteristic
1480C22⋊C4—21no—
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⋊C4—21no—
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
1524C22⋊C4C2×D4×C8911yescharacteristic
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42C2×D4×C8911yescharacteristic
1533C42C2×D4×C8911yescharacteristic
1534C42C24×C8911yescharacteristic
1535C42C24×C8911yescharacteristic
1536C42C24×C8911yescharacteristic
1537C42C24×C8911yescharacteristic
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—81no—
1544C23—81no—
1545C23—81no—
1546C23C22×D4×C8911yescharacteristic
1547C23C22×D4×C8911yescharacteristic
1548C23C22×D4×C8911yescharacteristic
1549Q8—21no—
1550Q8—21no—
1551Q8—21no—
1552Q8—21no—
1553Q8—21no—
1554Q8—21no—
1555Q8—41no—
1556Q8—42no—
1557Q8—81no—
1558Q8—81no—
1559Q8—81no—
1560Q8—81no—
1561Q8—81no—
1562D4—21no—
1563D4—21no—
1564D4—21no—
1565D4—21no—
1566D4—21no—
1567D4—21no—
1568D4—21no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—41no—
1573D4—41no—
1574D4—41no—
1575D4—81no—
1576D4—81no—
1577D4—81no—
1578D4—81no—
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—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—42no—
1615C2×C4—42no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—81no—
1619C2×C4—81no—
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×C4C22×D4×C8911yescharacteristic
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×C4C25×C8911yescharacteristic
1642C8—21no—
1643C8—21no—
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—21no—
1649C8—21no—
1650C22—21no—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—41no—
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—162no—
1675C22C23×D4×C8911yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—21no—
1686C4—21no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4#585×C8911yescharacteristic
1699C4#585×C8911yescharacteristic
1700C2—41no—
1701C2—41no—
1702C2—41no—
1703C2—81no—
1704C2—81no—
1705C2—81no—
1706C2—81no—
1707C2—81no—
1708C2C89×#350011yescharacteristic
1709C2C89×#358411yescharacteristic
1710C2C89×#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×#3562C2semidirect
2. C89×#3547C2semidirect
3. C89×#3376C2semidirect
4. C89×#3373C2semidirect
5. C89×#3370C2semidirect
6. C89×#3367C2semidirect
7. C89×#3321C2semidirect
8. C89×#3321C2semidirect
9. C89×#3319C2semidirect
10. C89×#3319C2semidirect
11. C89×#3309C2semidirect
12. C89×#3308C2semidirect
13. C89×#3307C2semidirect
14. C89×#3306C2semidirect
15. C89×#3305C2semidirect
16. C89×#3303C2semidirect
17. C89×#3301C2semidirect
18. C89×#3297C2semidirect
19. C89×#3242C2semidirect
20. C89×#3241C2semidirect
21. C89×#3233C2semidirect
22. C89×#3221C2semidirect
23. C89×#3220C2semidirect
24. C89×#3207C2semidirect
25. C89×#3180C2semidirect
26. C89×#3176C2semidirect
27. C89×#3174C2semidirect
28. C89×#3137C2semidirect
29. C89×#3136C2semidirect
30. C89×#3135C2semidirect
31. C89×#2968C2semidirect
40. #555×C89C22semidirect
41. #554×C89C22semidirect
44. #553×C89C22semidirect
48. D4×Q8×C89C22semidirect
57. #544×C89C22semidirect
64. #540×C89C22semidirect
72. #533×C89C22semidirect
74. #532×C89C22semidirect
77. #501×C89C22semidirect
78. #499×C89C22semidirect
79. #499×C89C22semidirect
82. #492×C89C22semidirect
83. #491×C89C22semidirect
84. #491×C89C22semidirect
85. #491×C89C22semidirect
89. #490×C89C22semidirect
95. #489×C89C22semidirect
96. #489×C89C22semidirect
101. #487×C89C22semidirect
102. #487×C89C22semidirect
107. #485×C89C22semidirect
108. #485×C89C22semidirect
114. #482×C89C22semidirect
116. #480×C89C22semidirect
117. #479×C89C22semidirect
118. #479×C89C22semidirect
120. #478×C89C22semidirect
121. #477×C89C22semidirect
122. #477×C89C22semidirect
124. #476×C89C22semidirect
125. #475×C89C22semidirect
126. #475×C89C22semidirect
130. #469×C89C22semidirect
136. #466×C89C22semidirect
139. #465×C89C22semidirect
140. #465×C89C22semidirect
147. #463×C89C22semidirect
148. #463×C89C22semidirect
149. #461×C89C22semidirect
150. #461×C89C22semidirect
159. #449×C89C22semidirect
160. #449×C89C22semidirect
161. #448×C89C22semidirect
162. #448×C89C22semidirect
165. #446×C89C22semidirect
166. #446×C89C22semidirect
170. #442×C89C22semidirect
171. #440×C89C22semidirect
172. #440×C89C22semidirect
173. #440×C89C22semidirect
174. #440×C89C22semidirect
175. C4×SD16×C89C22semidirect
176. C4×SD16×C89C22semidirect
178. C4×D8×C89C22semidirect
182. #435×C89C22semidirect
184. C8×D4×C89C22semidirect
186. #433×C89C22semidirect
187. #431×C89C22semidirect
188. #419×C89C22semidirect
196. #416×C89C22semidirect
197. #416×C89C22semidirect
198. C2×#103×C89C22semidirect
201. #405×C89C22semidirect
202. C2×#97×C89C22semidirect
844. #62601C89direct (N × H)
856. #3562C2×C89semidirect
857. #3547C2×C89semidirect
858. #3376C2×C89semidirect
859. #3373C2×C89semidirect
860. #3370C2×C89semidirect
861. #3367C2×C89semidirect
862. #3321C2×C89semidirect
863. #3321C2×C89semidirect
864. #3319C2×C89semidirect
865. #3319C2×C89semidirect
866. #3309C2×C89semidirect
867. #3308C2×C89semidirect
868. #3307C2×C89semidirect
869. #3306C2×C89semidirect
870. #3305C2×C89semidirect
871. #3303C2×C89semidirect
872. #3301C2×C89semidirect
873. #3297C2×C89semidirect
874. #3242C2×C89semidirect
875. #3241C2×C89semidirect
876. #3233C2×C89semidirect
877. #3221C2×C89semidirect
878. #3220C2×C89semidirect
879. #3207C2×C89semidirect
880. #3180C2×C89semidirect
881. #3176C2×C89semidirect
882. #3174C2×C89semidirect
883. #3137C2×C89semidirect
884. #3136C2×C89semidirect
885. #3135C2×C89semidirect
886. #2968C2×C89semidirect
887. C89#62601direct (N × H)
896. #555C22×C89semidirect
897. #554C22×C89semidirect
900. #553C22×C89semidirect
904. D4×Q8C22×C89semidirect
913. #544C22×C89semidirect
920. #540C22×C89semidirect
928. #533C22×C89semidirect
930. #532C22×C89semidirect
933. #501C22×C89semidirect
934. #499C22×C89semidirect
935. #499C22×C89semidirect
938. #492C22×C89semidirect
939. #491C22×C89semidirect
940. #491C22×C89semidirect
941. #491C22×C89semidirect
945. #490C22×C89semidirect
951. #489C22×C89semidirect
952. #489C22×C89semidirect
957. #487C22×C89semidirect
958. #487C22×C89semidirect
963. #485C22×C89semidirect
964. #485C22×C89semidirect
970. #482C22×C89semidirect
972. #480C22×C89semidirect
973. #479C22×C89semidirect
974. #479C22×C89semidirect
976. #478C22×C89semidirect
977. #477C22×C89semidirect
978. #477C22×C89semidirect
980. #476C22×C89semidirect
981. #475C22×C89semidirect
982. #475C22×C89semidirect
986. #469C22×C89semidirect
992. #466C22×C89semidirect
995. #465C22×C89semidirect
996. #465C22×C89semidirect
1003. #463C22×C89semidirect
1004. #463C22×C89semidirect
1005. #461C22×C89semidirect
1006. #461C22×C89semidirect
1015. #449C22×C89semidirect
1016. #449C22×C89semidirect
1017. #448C22×C89semidirect
1018. #448C22×C89semidirect
1021. #446C22×C89semidirect
1022. #446C22×C89semidirect
1026. #442C22×C89semidirect
1027. #440C22×C89semidirect
1028. #440C22×C89semidirect
1029. #440C22×C89semidirect
1030. #440C22×C89semidirect
1031. C4×SD16C22×C89semidirect
1032. C4×SD16C22×C89semidirect
1034. C4×D8C22×C89semidirect
1038. #435C22×C89semidirect
1040. C8×D4C22×C89semidirect
1042. #433C22×C89semidirect
1043. #431C22×C89semidirect
1044. #419C22×C89semidirect
1052. #416C22×C89semidirect
1053. #416C22×C89semidirect
1054. C2×#103C22×C89semidirect
1057. #405C22×C89semidirect
1058. C2×#97C22×C89semidirect

Maximal subgroups

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

subgroupindex
C89×#35622
C89×#35472
C89×#33762
C89×#33732
C89×#33702
C89×#33672
C89×#33212
C89×#33192
C89×#33092
C89×#33082
C89×#33072
C89×#33062
C89×#33052
C89×#33032
C89×#33012
C89×#32972
C89×#32422
C89×#32412
C89×#32332
C89×#32212
C89×#32202
C89×#32072
C89×#31802
C89×#31762
C89×#31742
C89×#31372
C89×#31362
C89×#31352
C89×#29682
#6260189