Finite Group Databasebeta

← C89×#60973 #36438821

Subgroups — C89×#60973 #36438821

Order 22784.

1732 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3461C211yesmaximal, characteristic, complemented
2C89×#3460C211yesmaximal, characteristic, complemented
3C89×#3262C211yesmaximal, characteristic, complemented
4C89×#3260C211yesmaximal, characteristic, complemented
5C89×#3258C211yesmaximal, characteristic, complemented
6C89×#3257C211yesmaximal, characteristic, complemented
7C89×#3243C211yesmaximal, characteristic, complemented
8C89×#3243C211yesmaximal, characteristic, complemented
9C89×#3242C211yesmaximal, characteristic, complemented
10C89×#3241C211yesmaximal, characteristic, complemented
11C89×#3225C211yesmaximal, characteristic, complemented
12C89×#3224C211yesmaximal, characteristic, complemented
13C89×#3222C211yesmaximal, characteristic, complemented
14C89×#3221C211yesmaximal, characteristic, complemented
15C89×#3203C211yesmaximal, characteristic, complemented
16C89×#3201C211yesmaximal, characteristic, complemented
17C89×#3200C211yesmaximal, characteristic, complemented
18C89×#3198C211yesmaximal, characteristic, complemented
19C89×#3183C211yesmaximal, characteristic, complemented
20C89×#3182C211yesmaximal, characteristic, complemented
21C89×#3181C211yesmaximal, characteristic, complemented
22C89×#3180C211yesmaximal, characteristic, complemented
23C89×#3117C211yesmaximal, characteristic, complemented
24C89×#3116C211yesmaximal, characteristic, complemented
25C89×#3115C211yesmaximal, characteristic, complemented
26C89×#3114C211yesmaximal, characteristic, complemented
27C89×#3112C211yesmaximal, characteristic, complemented
28C89×#3111C211yesmaximal, characteristic, complemented
29C89×#3111C211yesmaximal, characteristic, complemented
30C89×#3110C211yesmaximal, characteristic, complemented
31C89×#2923C211yesmaximal, characteristic, complemented
32#544×C89C2211yescharacteristic
33#544×C89C2211yescharacteristic, complemented
34#542×C89—21no—
35#542×C89—21no—
36#542×C89C2211yescharacteristic
37#542×C89C2211yescharacteristic
38#542×C89C2211yescharacteristic
39#542×C89C2211yescharacteristic, complemented
40#541×C89—21no—
41#541×C89C2211yescharacteristic
42#541×C89C2211yescharacteristic, complemented
43#540×C89—21no—
44#540×C89C2211yescharacteristic
45#540×C89C2211yescharacteristic
46#539×C89—21no—
47#539×C89—21no—
48#538×C89—21no—
49#538×C89—21no—
50#537×C89C2211yescharacteristic
51#537×C89C2211yescharacteristic
52#536×C89C2211yescharacteristic
53#536×C89C2211yescharacteristic, complemented
54#535×C89C2211yescharacteristic
55#535×C89C2211yescharacteristic
56#533×C89—21no—
57#533×C89C2211yescharacteristic
58#533×C89C2211yescharacteristic, complemented
59#532×C89—21no—
60#532×C89C2211yescharacteristic
61#532×C89C2211yescharacteristic
62#529×C89—21no—
63#529×C89—21no—
64#529×C89—21no—
65#529×C89—21no—
66#529×C89C2211yescharacteristic
67#529×C89C2211yescharacteristic
68#529×C89C2211yescharacteristic
69#529×C89C2211yescharacteristic, complemented
70#525×C89—21no—
71#525×C89—21no—
72C4×#41×C89C2211yescharacteristic
73C4×#41×C89C2211yescharacteristic
74C4×#41×C89C2211yescharacteristic, complemented
75C2×C4×Q8×C89C2211yescharacteristic, complemented
76C2×C4×D4×C89C2211yescharacteristic
77#501×C89C2211yescharacteristic, complemented
78#501×C89C2211yescharacteristic, complemented
79#500×C89C2211yescharacteristic, complemented
80#499×C89C2211yescharacteristic, complemented
81#497×C89C2211yescharacteristic
82#496×C89C2211yescharacteristic
83#495×C89C2211yescharacteristic
84#492×C89C2211yescharacteristic
85#491×C89C2211yescharacteristic, complemented
86#490×C89C2211yescharacteristic
87#489×C89C2211yescharacteristic
88#489×C89C2211yescharacteristic, complemented
89#488×C89C2211yescharacteristic
90#488×C89C2211yescharacteristic, complemented
91#487×C89C2211yescharacteristic, complemented
92#486×C89C2211yescharacteristic
93#485×C89C2211yescharacteristic
94#485×C89C2211yescharacteristic
95#485×C89C2211yescharacteristic
96#485×C89C2211yescharacteristic, complemented
97#484×C89C2211yescharacteristic
98#484×C89C2211yescharacteristic
99#484×C89C2211yescharacteristic, complemented
100#483×C89C2211yescharacteristic
101#482×C89C2211yescharacteristic
102#482×C89C2211yescharacteristic
103#482×C89C2211yescharacteristic
104#482×C89C2211yescharacteristic, complemented
105#481×C89C2211yescharacteristic
106#480×C89C2211yescharacteristic
107#480×C89C2211yescharacteristic
108#480×C89C2211yescharacteristic, complemented
109#479×C89C2211yescharacteristic, complemented
110#479×C89C2211yescharacteristic, complemented
111#479×C89C2211yescharacteristic, complemented
112#479×C89C2211yescharacteristic, complemented
113#478×C89C2211yescharacteristic
114#478×C89C2211yescharacteristic
115#478×C89C2211yescharacteristic, complemented
116#478×C89C2211yescharacteristic, complemented
117#477×C89C2211yescharacteristic, complemented
118#477×C89C2211yescharacteristic, complemented
119#477×C89C2211yescharacteristic, complemented
120#476×C89C2211yescharacteristic, complemented
121#475×C89C2211yescharacteristic, complemented
122#474×C89C2211yescharacteristic
123#474×C89C2211yescharacteristic
124#474×C89C2211yescharacteristic, complemented
125#470×C89C2211yescharacteristic, complemented
126#469×C89C2211yescharacteristic
127#468×C89C2211yescharacteristic
128#468×C89C2211yescharacteristic
129#468×C89C2211yescharacteristic
130#468×C89C2211yescharacteristic, complemented
131#468×C89C2211yescharacteristic, complemented
132#468×C89C2211yescharacteristic, complemented
133#467×C89C2211yescharacteristic, complemented
134#467×C89C2211yescharacteristic, complemented
135#466×C89C2211yescharacteristic
136#466×C89C2211yescharacteristic, complemented
137#465×C89C2211yescharacteristic
138#465×C89C2211yescharacteristic
139#465×C89C2211yescharacteristic
140#465×C89C2211yescharacteristic, complemented
141#464×C89C2211yescharacteristic
142#464×C89C2211yescharacteristic
143#464×C89C2211yescharacteristic
144#464×C89C2211yescharacteristic, complemented
145#463×C89C2211yescharacteristic
146#463×C89C2211yescharacteristic
147#463×C89C2211yescharacteristic
148#463×C89C2211yescharacteristic, complemented
149#462×C89C2211yescharacteristic, complemented
150#461×C89C2211yescharacteristic
151#461×C89C2211yescharacteristic
152#461×C89C2211yescharacteristic, complemented
153#460×C89C2211yescharacteristic
154#460×C89C2211yescharacteristic
155#460×C89C2211yescharacteristic
156#459×C89C2211yescharacteristic
157#452×C89C2211yescharacteristic
158#452×C89C2211yescharacteristic
159#452×C89C2211yescharacteristic
160#452×C89C2211yescharacteristic, complemented
161#451×C89C2211yescharacteristic, complemented
162#450×C89C2211yescharacteristic
163#450×C89C2211yescharacteristic
164#450×C89C2211yescharacteristic
165#449×C89C2211yescharacteristic
166#449×C89C2211yescharacteristic
167#449×C89C2211yescharacteristic
168#449×C89C2211yescharacteristic, complemented
169#448×C89C2211yescharacteristic
170#448×C89C2211yescharacteristic
171#448×C89C2211yescharacteristic, complemented
172#447×C89C2211yescharacteristic
173#442×C89C2211yescharacteristic
174#442×C89C2211yescharacteristic
175#442×C89C2211yescharacteristic, complemented
176#441×C89C2211yescharacteristic, complemented
177#441×C89C2211yescharacteristic, complemented
178#441×C89C2211yescharacteristic, complemented
179#440×C89C2211yescharacteristic
180#440×C89C2211yescharacteristic
181#440×C89C2211yescharacteristic
182#440×C89C2211yescharacteristic
183#440×C89C2211yescharacteristic
184#440×C89C2211yescharacteristic
185#440×C89C2211yescharacteristic, complemented
186#440×C89C2211yescharacteristic, complemented
187#440×C89C2211yescharacteristic, complemented
188#440×C89C2211yescharacteristic, complemented
189#433×C89C2211yescharacteristic
190#433×C89C2211yescharacteristic
191#433×C89C2211yescharacteristic, complemented
192#433×C89C2211yescharacteristic, complemented
193#432×C89C2211yescharacteristic
194#432×C89C2211yescharacteristic
195#432×C89C2211yescharacteristic, complemented
196#432×C89C2211yescharacteristic, complemented
197#424×C89C2211yescharacteristic, complemented
198#424×C89C2211yescharacteristic, complemented
199#408×C89C2211yescharacteristic
200#408×C89C2211yescharacteristic
201C4×M16×C89C2211yescharacteristic, complemented
202C2×#97×C89C2211yescharacteristic, complemented
203C2×#41×C89—21no—
204C2×#41×C89—21no—
205C2×#41×C89C2311yescharacteristic
206C2×#41×C89C2311yescharacteristic
207C2×#41×C89C2311yescharacteristic
208C22×Q8×C89C2311yescharacteristic
209C22×D4×C89C2311yescharacteristic
210C23×C4×C89—21no—
211C2×Q16×C89C2311yescharacteristic
212C2×Q16×C89C2311yescharacteristic
213C2×Q16×C89C2311yescharacteristic
214C2×SD16×C89C2311yescharacteristic
215C2×SD16×C89C2311yescharacteristic
216C2×SD16×C89C2311yescharacteristic
217C2×SD16×C89C2311yescharacteristic
218C2×SD16×C89C2311yescharacteristic
219C2×SD16×C89C2311yescharacteristic
220C2×SD16×C89C2311yescharacteristic
221C2×SD16×C89C2311yescharacteristic
222C2×SD16×C89C2311yescharacteristic
223C2×SD16×C89C2311yescharacteristic
224C2×D8×C89C2311yescharacteristic
225C2×D8×C89C2311yescharacteristic
226C2×D8×C89C2311yescharacteristic
227C2×M16×C89C2311yescharacteristic
228C2×M16×C89C2311yescharacteristic
229C22×C8×C89C2311yescharacteristic
230C22×C8×C89C2311yescharacteristic
231C4⋊Q8×C89—21no—
232C4⋊Q8×C89—21no—
233C4⋊Q8×C89—21no—
234C4⋊Q8×C89C2311yescharacteristic
235C4⋊Q8×C89C2311yescharacteristic
236C4⋊Q8×C89C2311yescharacteristic
237C4⋊Q8×C89C2311yescharacteristic
238C4⋊Q8×C89C2311yescharacteristic
239C4⋊Q8×C89C2311yescharacteristic
240#127×C89—21no—
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×C89—21no—
251#126×C89—21no—
252#126×C89—21no—
253#126×C89—21no—
254#126×C89—21no—
255#125×C89—21no—
256#125×C89—21no—
257#125×C89—21no—
258#125×C89—21no—
259#125×C89—21no—
260#125×C89—21no—
261#125×C89—21no—
262#125×C89—21no—
263#125×C89C2311yescharacteristic
264#125×C89C2311yescharacteristic
265#125×C89C2311yescharacteristic
266#125×C89C2311yescharacteristic
267#124×C89—21no—
268#124×C89—21no—
269#124×C89—21no—
270#124×C89—21no—
271#124×C89—21no—
272#124×C89—21no—
273#124×C89—21no—
274#124×C89—21no—
275#124×C89C2311yescharacteristic
276#124×C89C2311yescharacteristic
277#124×C89C2311yescharacteristic
278#124×C89C2311yescharacteristic
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—
295C22⋊Q8×C89—21no—
296C22⋊Q8×C89—21no—
297C22⋊Q8×C89—21no—
298C22⋊Q8×C89—21no—
299C22⋊Q8×C89—21no—
300C22⋊Q8×C89—21no—
301C22⋊Q8×C89—21no—
302C22⋊Q8×C89—21no—
303C22⋊Q8×C89—21no—
304C22⋊Q8×C89—21no—
305C22⋊Q8×C89—21no—
306C22⋊Q8×C89—21no—
307C22⋊Q8×C89—21no—
308C22⋊Q8×C89—21no—
309C22⋊Q8×C89C2311yescharacteristic
310C22⋊Q8×C89C2311yescharacteristic
311C22⋊Q8×C89C2311yescharacteristic
312C22⋊Q8×C89C2311yescharacteristic
313C22⋊Q8×C89C2311yescharacteristic
314C22⋊Q8×C89C2311yescharacteristic
315C22⋊Q8×C89C2311yescharacteristic
316C22⋊Q8×C89C2311yescharacteristic
317#121×C89—21no—
318#121×C89—21no—
319#121×C89—21no—
320#121×C89—21no—
321#121×C89—21no—
322#121×C89—21no—
323#121×C89—21no—
324#121×C89—21no—
325#121×C89—21no—
326#121×C89—21no—
327#121×C89—21no—
328#121×C89—21no—
329#121×C89—21no—
330#121×C89—21no—
331#121×C89C2311yescharacteristic
332#121×C89C2311yescharacteristic
333#121×C89C2311yescharacteristic
334#121×C89C2311yescharacteristic
335#121×C89C2311yescharacteristic
336#121×C89C2311yescharacteristic
337#121×C89C2311yescharacteristic
338#121×C89C2311yescharacteristic
339#120×C89—21no—
340#120×C89—21no—
341#120×C89—21no—
342#120×C89—21no—
343C4×Q8×C89—21no—
344C4×Q8×C89—21no—
345C4×Q8×C89—21no—
346C4×Q8×C89—21no—
347C4×Q8×C89D411yescharacteristic
348C4×Q8×C89D411yescharacteristic
349C4×Q8×C89C2311yescharacteristic
350C4×Q8×C89C2311yescharacteristic
351C4×Q8×C89C2311yescharacteristic
352C4×Q8×C89C2311yescharacteristic
353C4×Q8×C89C2311yescharacteristic
354C4×Q8×C89C2311yescharacteristic
355C4×Q8×C89C2311yescharacteristic
356C4×Q8×C89C2311yescharacteristic
357C4×D4×C89—21no—
358C4×D4×C89—21no—
359C4×D4×C89—21no—
360C4×D4×C89—21no—
361C4×D4×C89—21no—
362C4×D4×C89—21no—
363C4×D4×C89—21no—
364C4×D4×C89—21no—
365C4×D4×C89—21no—
366C4×D4×C89—21no—
367C4×D4×C89—21no—
368C4×D4×C89—21no—
369C4×D4×C89D411yescharacteristic
370C4×D4×C89D411yescharacteristic
371C4×D4×C89D411yescharacteristic
372C4×D4×C89D411yescharacteristic
373C4×D4×C89D411yescharacteristic
374C4×D4×C89D411yescharacteristic
375C4×D4×C89C2311yescharacteristic
376C4×D4×C89C2311yescharacteristic
377C4×D4×C89C2311yescharacteristic
378C4×D4×C89C2311yescharacteristic
379C4×D4×C89C2311yescharacteristic
380C4×D4×C89C2311yescharacteristic
381C4×D4×C89C2311yescharacteristic
382C4×D4×C89C2311yescharacteristic
383#117×C89—21no—
384#117×C89—21no—
385#117×C89—21no—
386#117×C89—21no—
387#117×C89—21no—
388#117×C89—21no—
389#117×C89—21no—
390#117×C89—21no—
391#117×C89C2311yescharacteristic
392#117×C89C2311yescharacteristic
393#117×C89C2311yescharacteristic
394#117×C89C2311yescharacteristic
395#117×C89C2311yescharacteristic
396C2×C4⋊C4×C89—21no—
397C2×C4⋊C4×C89C2311yescharacteristic
398C2×C4⋊C4×C89C2311yescharacteristic
399C2×C22⋊C4×C89—21no—
400C2×C42×C89—21no—
401C2×C42×C89—21no—
402C2×C42×C89—21no—
403C2×C42×C89C2311yescharacteristic
404C2×C42×C89C2311yescharacteristic
405C2×C42×C89C2311yescharacteristic
406#107×C89C2311yescharacteristic
407#107×C89C2311yescharacteristic
408#107×C89C2311yescharacteristic
409#107×C89C2311yescharacteristic
410#107×C89C2311yescharacteristic
411#107×C89C2311yescharacteristic
412#107×C89C2311yescharacteristic
413#107×C89C2311yescharacteristic
414#107×C89C2311yescharacteristic
415#107×C89C2311yescharacteristic
416#106×C89C2311yescharacteristic
417#106×C89C2311yescharacteristic
418#106×C89C2311yescharacteristic
419#106×C89C2311yescharacteristic
420#106×C89C2311yescharacteristic
421#106×C89C2311yescharacteristic
422C4⋊C8×C89C2311yescharacteristic
423C4⋊C8×C89C2311yescharacteristic
424C4⋊C8×C89C2311yescharacteristic
425C4⋊C8×C89C2311yescharacteristic
426C4⋊C8×C89C2311yescharacteristic
427C4⋊C8×C89C2311yescharacteristic
428C4⋊C8×C89C2311yescharacteristic
429C4⋊C8×C89C2311yescharacteristic
430#103×C89C2311yescharacteristic
431#103×C89C2311yescharacteristic
432#103×C89C2311yescharacteristic
433#103×C89C2311yescharacteristic
434#103×C89C2311yescharacteristic
435#103×C89C2311yescharacteristic
436#103×C89C2311yescharacteristic
437#103×C89C2311yescharacteristic
438#103×C89C2311yescharacteristic
439#103×C89C2311yescharacteristic
440#103×C89C2311yescharacteristic
441#103×C89C2311yescharacteristic
442#103×C89C2311yescharacteristic
443#103×C89C2311yescharacteristic
444#103×C89C2311yescharacteristic
445#103×C89C2311yescharacteristic
446#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
468C22⋊C8×C89C2311yescharacteristic
469C22⋊C8×C89C2311yescharacteristic
470#97×C89C2311yescharacteristic
471#97×C89C2311yescharacteristic
472#97×C89C2311yescharacteristic
473#97×C89C2311yescharacteristic
474#97×C89C2311yescharacteristic
475#97×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—82no—
486#41×C89—82no—
487C2×Q8×C89—21no—
488C2×Q8×C89—21no—
489C2×Q8×C89—21no—
490C2×Q8×C89—21no—
491C2×Q8×C89—21no—
492C2×Q8×C89—41no—
493C2×Q8×C89—41no—
494C2×Q8×C89C2×D411yescharacteristic
495C2×Q8×C89C2411yescharacteristic
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—41no—
515C2×D4×C89—41no—
516C2×D4×C89C2×D411yescharacteristic
517C2×D4×C89C2×D411yescharacteristic
518C2×D4×C89C2×D411yescharacteristic
519C2×D4×C89C2411yescharacteristic
520C2×D4×C89C2411yescharacteristic
521C2×D4×C89C2411yescharacteristic
522C2×D4×C89C2411yescharacteristic
523C22×C4×C89—21no—
524C22×C4×C89—21no—
525C22×C4×C89—21no—
526C22×C4×C89—21no—
527C22×C4×C89—21no—
528C22×C4×C89—21no—
529C22×C4×C89—21no—
530C22×C4×C89—21no—
531C22×C4×C89—21no—
532C22×C4×C89—21no—
533C22×C4×C89—21no—
534C22×C4×C89—21no—
535C22×C4×C89—21no—
536C22×C4×C89—82no—
537C22×C4×C89C2×D411yescharacteristic
538C22×C4×C89C2×D411yescharacteristic
539C22×C4×C89C2×D411yescharacteristic
540C22×C4×C89C2×D411yescharacteristic
541C22×C4×C89C2×D411yescharacteristic
542C22×C4×C89C2×D411yescharacteristic
543C22×C4×C89C2411yescharacteristic
544C22×C4×C89C2411yescharacteristic
545C22×C4×C89C2411yescharacteristic
546Q16×C89—41no—
547Q16×C89—41no—
548Q16×C89—41no—
549SD16×C89—41no—
550SD16×C89—41no—
551SD16×C89—41no—
552SD16×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—
562M16×C89—41no—
563M16×C89—41no—
564C2×C8×C89—41no—
565C2×C8×C89—41no—
566C2×C8×C89C2411yescharacteristic
567C2×C8×C89C2411yescharacteristic
568C2×C8×C89C2411yescharacteristic
569C2×C8×C89C2411yescharacteristic
570C2×C8×C89C2411yescharacteristic
571C2×C8×C89C2411yescharacteristic
572C2×C8×C89C2411yescharacteristic
573C2×C8×C89C2411yescharacteristic
574C4⋊C4×C89—21no—
575C4⋊C4×C89—21no—
576C4⋊C4×C89—21no—
577C4⋊C4×C89—21no—
578C4⋊C4×C89—21no—
579C4⋊C4×C89—21no—
580C4⋊C4×C89—21no—
581C4⋊C4×C89—21no—
582C4⋊C4×C89—21no—
583C4⋊C4×C89—21no—
584C4⋊C4×C89—21no—
585C4⋊C4×C89—21no—
586C4⋊C4×C89—21no—
587C4⋊C4×C89—21no—
588C4⋊C4×C89—21no—
589C4⋊C4×C89—21no—
590C4⋊C4×C89—21no—
591C4⋊C4×C89—21no—
592C4⋊C4×C89—21no—
593C4⋊C4×C89—21no—
594C4⋊C4×C89—21no—
595C4⋊C4×C89—21no—
596C4⋊C4×C89—21no—
597C4⋊C4×C89—21no—
598C4⋊C4×C89—21no—
599C4⋊C4×C89—21no—
600C4⋊C4×C89—21no—
601C4⋊C4×C89—21no—
602C4⋊C4×C89—21no—
603C4⋊C4×C89—21no—
604C4⋊C4×C89—21no—
605C4⋊C4×C89—21no—
606C4⋊C4×C89—21no—
607C4⋊C4×C89—21no—
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×C89C2411yescharacteristic
615C4⋊C4×C89C2411yescharacteristic
616C4⋊C4×C89C2411yescharacteristic
617C4⋊C4×C89C2411yescharacteristic
618C4⋊C4×C89C2411yescharacteristic
619C4⋊C4×C89C2411yescharacteristic
620C4⋊C4×C89C2411yescharacteristic
621C4⋊C4×C89C2411yescharacteristic
622C22⋊C4×C89—21no—
623C22⋊C4×C89—21no—
624C22⋊C4×C89—21no—
625C22⋊C4×C89—21no—
626C22⋊C4×C89—21no—
627C22⋊C4×C89—21no—
628C22⋊C4×C89—21no—
629C22⋊C4×C89—21no—
630C22⋊C4×C89—21no—
631C22⋊C4×C89—21no—
632C22⋊C4×C89—21no—
633C22⋊C4×C89—21no—
634C22⋊C4×C89—21no—
635C22⋊C4×C89—21no—
636C22⋊C4×C89—21no—
637C22⋊C4×C89—21no—
638C22⋊C4×C89—21no—
639C22⋊C4×C89—21no—
640C22⋊C4×C89—21no—
641C22⋊C4×C89—21no—
642C22⋊C4×C89—21no—
643C22⋊C4×C89—21no—
644C22⋊C4×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×C89C2×D411yescharacteristic
657C22⋊C4×C89C2×D411yescharacteristic
658C22⋊C4×C89C2×D411yescharacteristic
659C22⋊C4×C89C2×D411yescharacteristic
660C22⋊C4×C89C2×D411yescharacteristic
661C22⋊C4×C89C2×D411yescharacteristic
662C42×C89—21no—
663C42×C89—21no—
664C42×C89—21no—
665C42×C89—21no—
666C42×C89—21no—
667C42×C89—21no—
668C42×C89—21no—
669C42×C89—21no—
670C42×C89—21no—
671C42×C89—21no—
672C42×C89C2×D411yescharacteristic
673C42×C89C2×D411yescharacteristic
674C42×C89C2×D411yescharacteristic
675C42×C89C2×D411yescharacteristic
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—42no—
687C23×C89—81no—
688C23×C89—81no—
689C23×C89C22×D411yescharacteristic
690C23×C89C22×D411yescharacteristic
691C23×C89C22×D411yescharacteristic
692Q8×C89—21no—
693Q8×C89—21no—
694Q8×C89—21no—
695Q8×C89—21no—
696Q8×C89—21no—
697Q8×C89—21no—
698Q8×C89—21no—
699Q8×C89—21no—
700Q8×C89—41no—
701Q8×C89—42no—
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—41no—
715D4×C89—41no—
716D4×C89—41no—
717D4×C89—42no—
718D4×C89—42no—
719D4×C89—42no—
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—
732C2×C4×C89—21no—
733C2×C4×C89—21no—
734C2×C4×C89—21no—
735C2×C4×C89—21no—
736C2×C4×C89—21no—
737C2×C4×C89—21no—
738C2×C4×C89—21no—
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—41no—
751C2×C4×C89—41no—
752C2×C4×C89—41no—
753C2×C4×C89—41no—
754C2×C4×C89—41no—
755C2×C4×C89—41no—
756C2×C4×C89—42no—
757C2×C4×C89—42no—
758C2×C4×C89—42no—
759C2×C4×C89—42no—
760C2×C4×C89—42no—
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×C89C22×D411yescharacteristic
770C2×C4×C89C22×D411yescharacteristic
771C2×C4×C89C22×D411yescharacteristic
772C2×C4×C89C22×D411yescharacteristic
773C2×C4×C89C22×D411yescharacteristic
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×C89C2511yescharacteristic
781C8×C89—21no—
782C8×C89—21no—
783C8×C89—21no—
784C8×C89—21no—
785C8×C89—21no—
786C8×C89—21no—
787C8×C89—21no—
788C8×C89—21no—
789C22×C89—21no—
790C22×C89—21no—
791C22×C89—21no—
792C22×C89—21no—
793C22×C89—21no—
794C22×C89—21no—
795C22×C89—21no—
796C22×C89—21no—
797C22×C89—21no—
798C22×C89—41no—
799C22×C89—41no—
800C22×C89—41no—
801C22×C89—41no—
802C22×C89—41no—
803C22×C89—41no—
804C22×C89—41no—
805C22×C89—41no—
806C22×C89—41no—
807C22×C89—41no—
808C22×C89—41no—
809C22×C89—41no—
810C22×C89—84no—
811C22×C89C23×D411yescharacteristic
812C4×C89—21no—
813C4×C89—21no—
814C4×C89—21no—
815C4×C89—21no—
816C4×C89—21no—
817C4×C89—21no—
818C4×C89—21no—
819C4×C89—21no—
820C4×C89—21no—
821C4×C89—21no—
822C4×C89—21no—
823C4×C89—41no—
824C4×C89—41no—
825C4×C89—41no—
826C4×C89—41no—
827C4×C89—41no—
828C4×C89—41no—
829C4×C89—41no—
830C4×C89—41no—
831C4×C89—41no—
832C4×C89—41no—
833C4×C89—41no—
834C4×C89—41no—
835C4×C89#58511yescharacteristic
836C4×C89#58511yescharacteristic
837#60973C8911yesmaximal, characteristic, direct product factor, Sylow
838C2×C89—41no—
839C2×C89—41no—
840C2×C89—41no—
841C2×C89—81no—
842C2×C89—81no—
843C2×C89—81no—
844C2×C89—81no—
845C2×C89#344911yescharacteristic
846C2×C89#358511yescharacteristic
847C2×C89#358611yescharacteristic
848#3461C2×C8911yescharacteristic, complemented
849#3460C2×C8911yescharacteristic, complemented
850#3262C2×C8911yescharacteristic, complemented
851#3260C2×C8911yescharacteristic, complemented
852#3258C2×C8911yescharacteristic, complemented
853#3257C2×C8911yescharacteristic, complemented
854#3243C2×C8911yescharacteristic, complemented
855#3243C2×C8911yescharacteristic, complemented
856#3242C2×C8911yescharacteristic, complemented
857#3241C2×C8911yescharacteristic, complemented
858#3225C2×C8911yescharacteristic, complemented
859#3224C2×C8911yescharacteristic, complemented
860#3222C2×C8911yescharacteristic, complemented
861#3221C2×C8911yescharacteristic, complemented
862#3203C2×C8911yescharacteristic, complemented
863#3201C2×C8911yescharacteristic, complemented
864#3200C2×C8911yescharacteristic, complemented
865#3198C2×C8911yescharacteristic, complemented
866#3183C2×C8911yescharacteristic, complemented
867#3182C2×C8911yescharacteristic, complemented
868#3181C2×C8911yescharacteristic, complemented
869#3180C2×C8911yescharacteristic, complemented
870#3117C2×C8911yescharacteristic, complemented
871#3116C2×C8911yescharacteristic, complemented
872#3115C2×C8911yescharacteristic, complemented
873#3114C2×C8911yescharacteristic, complemented
874#3112C2×C8911yescharacteristic, complemented
875#3111C2×C8911yescharacteristic, complemented
876#3111C2×C8911yescharacteristic, complemented
877#3110C2×C8911yescharacteristic, complemented
878#2923C2×C8911yescharacteristic, complemented
879C89#6097311yescharacteristic, direct product factor, Sylow
880#544C22×C8911yescharacteristic
881#544C22×C8911yescharacteristic, complemented
882#542—21no—
883#542—21no—
884#542C22×C8911yescharacteristic
885#542C22×C8911yescharacteristic
886#542C22×C8911yescharacteristic
887#542C22×C8911yescharacteristic, complemented
888#541—21no—
889#541C22×C8911yescharacteristic
890#541C22×C8911yescharacteristic, complemented
891#540—21no—
892#540C22×C8911yescharacteristic
893#540C22×C8911yescharacteristic
894#539—21no—
895#539—21no—
896#538—21no—
897#538—21no—
898#537C22×C8911yescharacteristic
899#537C22×C8911yescharacteristic
900#536C22×C8911yescharacteristic
901#536C22×C8911yescharacteristic, complemented
902#535C22×C8911yescharacteristic
903#535C22×C8911yescharacteristic
904#533—21no—
905#533C22×C8911yescharacteristic
906#533C22×C8911yescharacteristic, complemented
907#532—21no—
908#532C22×C8911yescharacteristic
909#532C22×C8911yescharacteristic
910#529—21no—
911#529—21no—
912#529—21no—
913#529—21no—
914#529C22×C8911yescharacteristic
915#529C22×C8911yescharacteristic
916#529C22×C8911yescharacteristic
917#529C22×C8911yescharacteristic, complemented
918#525—21no—
919#525—21no—
920C4×#41C22×C8911yescharacteristic
921C4×#41C22×C8911yescharacteristic
922C4×#41C22×C8911yescharacteristic, complemented
923C2×C4×Q8C22×C8911yescharacteristic, complemented
924C2×C4×D4C22×C8911yescharacteristic
925#501C22×C8911yescharacteristic, complemented
926#501C22×C8911yescharacteristic, complemented
927#500C22×C8911yescharacteristic, complemented
928#499C22×C8911yescharacteristic, complemented
929#497C22×C8911yescharacteristic
930#496C22×C8911yescharacteristic
931#495C22×C8911yescharacteristic
932#492C22×C8911yescharacteristic
933#491C22×C8911yescharacteristic, complemented
934#490C22×C8911yescharacteristic
935#489C22×C8911yescharacteristic
936#489C22×C8911yescharacteristic, complemented
937#488C22×C8911yescharacteristic
938#488C22×C8911yescharacteristic, complemented
939#487C22×C8911yescharacteristic, complemented
940#486C22×C8911yescharacteristic
941#485C22×C8911yescharacteristic
942#485C22×C8911yescharacteristic
943#485C22×C8911yescharacteristic
944#485C22×C8911yescharacteristic, complemented
945#484C22×C8911yescharacteristic
946#484C22×C8911yescharacteristic
947#484C22×C8911yescharacteristic, complemented
948#483C22×C8911yescharacteristic
949#482C22×C8911yescharacteristic
950#482C22×C8911yescharacteristic
951#482C22×C8911yescharacteristic
952#482C22×C8911yescharacteristic, complemented
953#481C22×C8911yescharacteristic
954#480C22×C8911yescharacteristic
955#480C22×C8911yescharacteristic
956#480C22×C8911yescharacteristic, complemented
957#479C22×C8911yescharacteristic, complemented
958#479C22×C8911yescharacteristic, complemented
959#479C22×C8911yescharacteristic, complemented
960#479C22×C8911yescharacteristic, complemented
961#478C22×C8911yescharacteristic
962#478C22×C8911yescharacteristic
963#478C22×C8911yescharacteristic, complemented
964#478C22×C8911yescharacteristic, complemented
965#477C22×C8911yescharacteristic, complemented
966#477C22×C8911yescharacteristic, complemented
967#477C22×C8911yescharacteristic, complemented
968#476C22×C8911yescharacteristic, complemented
969#475C22×C8911yescharacteristic, complemented
970#474C22×C8911yescharacteristic
971#474C22×C8911yescharacteristic
972#474C22×C8911yescharacteristic, complemented
973#470C22×C8911yescharacteristic, complemented
974#469C22×C8911yescharacteristic
975#468C22×C8911yescharacteristic
976#468C22×C8911yescharacteristic
977#468C22×C8911yescharacteristic
978#468C22×C8911yescharacteristic, complemented
979#468C22×C8911yescharacteristic, complemented
980#468C22×C8911yescharacteristic, complemented
981#467C22×C8911yescharacteristic, complemented
982#467C22×C8911yescharacteristic, complemented
983#466C22×C8911yescharacteristic
984#466C22×C8911yescharacteristic, complemented
985#465C22×C8911yescharacteristic
986#465C22×C8911yescharacteristic
987#465C22×C8911yescharacteristic
988#465C22×C8911yescharacteristic, complemented
989#464C22×C8911yescharacteristic
990#464C22×C8911yescharacteristic
991#464C22×C8911yescharacteristic
992#464C22×C8911yescharacteristic, complemented
993#463C22×C8911yescharacteristic
994#463C22×C8911yescharacteristic
995#463C22×C8911yescharacteristic
996#463C22×C8911yescharacteristic, complemented
997#462C22×C8911yescharacteristic, complemented
998#461C22×C8911yescharacteristic
999#461C22×C8911yescharacteristic
1000#461C22×C8911yescharacteristic, complemented
1001#460C22×C8911yescharacteristic
1002#460C22×C8911yescharacteristic
1003#460C22×C8911yescharacteristic
1004#459C22×C8911yescharacteristic
1005#452C22×C8911yescharacteristic
1006#452C22×C8911yescharacteristic
1007#452C22×C8911yescharacteristic
1008#452C22×C8911yescharacteristic, complemented
1009#451C22×C8911yescharacteristic, complemented
1010#450C22×C8911yescharacteristic
1011#450C22×C8911yescharacteristic
1012#450C22×C8911yescharacteristic
1013#449C22×C8911yescharacteristic
1014#449C22×C8911yescharacteristic
1015#449C22×C8911yescharacteristic
1016#449C22×C8911yescharacteristic, complemented
1017#448C22×C8911yescharacteristic
1018#448C22×C8911yescharacteristic
1019#448C22×C8911yescharacteristic, complemented
1020#447C22×C8911yescharacteristic
1021#442C22×C8911yescharacteristic
1022#442C22×C8911yescharacteristic
1023#442C22×C8911yescharacteristic, complemented
1024#441C22×C8911yescharacteristic, complemented
1025#441C22×C8911yescharacteristic, complemented
1026#441C22×C8911yescharacteristic, complemented
1027#440C22×C8911yescharacteristic
1028#440C22×C8911yescharacteristic
1029#440C22×C8911yescharacteristic
1030#440C22×C8911yescharacteristic
1031#440C22×C8911yescharacteristic
1032#440C22×C8911yescharacteristic
1033#440C22×C8911yescharacteristic, complemented
1034#440C22×C8911yescharacteristic, complemented
1035#440C22×C8911yescharacteristic, complemented
1036#440C22×C8911yescharacteristic, complemented
1037#433C22×C8911yescharacteristic
1038#433C22×C8911yescharacteristic
1039#433C22×C8911yescharacteristic, complemented
1040#433C22×C8911yescharacteristic, complemented
1041#432C22×C8911yescharacteristic
1042#432C22×C8911yescharacteristic
1043#432C22×C8911yescharacteristic, complemented
1044#432C22×C8911yescharacteristic, complemented
1045#424C22×C8911yescharacteristic, complemented
1046#424C22×C8911yescharacteristic, complemented
1047#408C22×C8911yescharacteristic
1048#408C22×C8911yescharacteristic
1049C4×M16C22×C8911yescharacteristic, complemented
1050C2×#97C22×C8911yescharacteristic, complemented
1051C2×#41—21no—
1052C2×#41—21no—
1053C2×#41C23×C8911yescharacteristic
1054C2×#41C23×C8911yescharacteristic
1055C2×#41C23×C8911yescharacteristic
1056C22×Q8C23×C8911yescharacteristic
1057C22×D4C23×C8911yescharacteristic
1058C23×C4—21no—
1059C2×Q16C23×C8911yescharacteristic
1060C2×Q16C23×C8911yescharacteristic
1061C2×Q16C23×C8911yescharacteristic
1062C2×SD16C23×C8911yescharacteristic
1063C2×SD16C23×C8911yescharacteristic
1064C2×SD16C23×C8911yescharacteristic
1065C2×SD16C23×C8911yescharacteristic
1066C2×SD16C23×C8911yescharacteristic
1067C2×SD16C23×C8911yescharacteristic
1068C2×SD16C23×C8911yescharacteristic
1069C2×SD16C23×C8911yescharacteristic
1070C2×SD16C23×C8911yescharacteristic
1071C2×SD16C23×C8911yescharacteristic
1072C2×D8C23×C8911yescharacteristic
1073C2×D8C23×C8911yescharacteristic
1074C2×D8C23×C8911yescharacteristic
1075C2×M16C23×C8911yescharacteristic
1076C2×M16C23×C8911yescharacteristic
1077C22×C8C23×C8911yescharacteristic
1078C22×C8C23×C8911yescharacteristic
1079C4⋊Q8—21no—
1080C4⋊Q8—21no—
1081C4⋊Q8—21no—
1082C4⋊Q8C23×C8911yescharacteristic
1083C4⋊Q8C23×C8911yescharacteristic
1084C4⋊Q8C23×C8911yescharacteristic
1085C4⋊Q8C23×C8911yescharacteristic
1086C4⋊Q8C23×C8911yescharacteristic
1087C4⋊Q8C23×C8911yescharacteristic
1088#127—21no—
1089#127C23×C8911yescharacteristic
1090#127C23×C8911yescharacteristic
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#126—21no—
1095#126—21no—
1096#126—21no—
1097#126—21no—
1098#126—21no—
1099#126—21no—
1100#126—21no—
1101#126—21no—
1102#126—21no—
1103#125—21no—
1104#125—21no—
1105#125—21no—
1106#125—21no—
1107#125—21no—
1108#125—21no—
1109#125—21no—
1110#125—21no—
1111#125C23×C8911yescharacteristic
1112#125C23×C8911yescharacteristic
1113#125C23×C8911yescharacteristic
1114#125C23×C8911yescharacteristic
1115#124—21no—
1116#124—21no—
1117#124—21no—
1118#124—21no—
1119#124—21no—
1120#124—21no—
1121#124—21no—
1122#124—21no—
1123#124C23×C8911yescharacteristic
1124#124C23×C8911yescharacteristic
1125#124C23×C8911yescharacteristic
1126#124C23×C8911yescharacteristic
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
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—
1143C22⋊Q8—21no—
1144C22⋊Q8—21no—
1145C22⋊Q8—21no—
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8C23×C8911yescharacteristic
1158C22⋊Q8C23×C8911yescharacteristic
1159C22⋊Q8C23×C8911yescharacteristic
1160C22⋊Q8C23×C8911yescharacteristic
1161C22⋊Q8C23×C8911yescharacteristic
1162C22⋊Q8C23×C8911yescharacteristic
1163C22⋊Q8C23×C8911yescharacteristic
1164C22⋊Q8C23×C8911yescharacteristic
1165#121—21no—
1166#121—21no—
1167#121—21no—
1168#121—21no—
1169#121—21no—
1170#121—21no—
1171#121—21no—
1172#121—21no—
1173#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—21no—
1178#121—21no—
1179#121C23×C8911yescharacteristic
1180#121C23×C8911yescharacteristic
1181#121C23×C8911yescharacteristic
1182#121C23×C8911yescharacteristic
1183#121C23×C8911yescharacteristic
1184#121C23×C8911yescharacteristic
1185#121C23×C8911yescharacteristic
1186#121C23×C8911yescharacteristic
1187#120—21no—
1188#120—21no—
1189#120—21no—
1190#120—21no—
1191C4×Q8—21no—
1192C4×Q8—21no—
1193C4×Q8—21no—
1194C4×Q8—21no—
1195C4×Q8D4×C8911yescharacteristic
1196C4×Q8D4×C8911yescharacteristic
1197C4×Q8C23×C8911yescharacteristic
1198C4×Q8C23×C8911yescharacteristic
1199C4×Q8C23×C8911yescharacteristic
1200C4×Q8C23×C8911yescharacteristic
1201C4×Q8C23×C8911yescharacteristic
1202C4×Q8C23×C8911yescharacteristic
1203C4×Q8C23×C8911yescharacteristic
1204C4×Q8C23×C8911yescharacteristic
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4D4×C8911yescharacteristic
1218C4×D4D4×C8911yescharacteristic
1219C4×D4D4×C8911yescharacteristic
1220C4×D4D4×C8911yescharacteristic
1221C4×D4D4×C8911yescharacteristic
1222C4×D4D4×C8911yescharacteristic
1223C4×D4C23×C8911yescharacteristic
1224C4×D4C23×C8911yescharacteristic
1225C4×D4C23×C8911yescharacteristic
1226C4×D4C23×C8911yescharacteristic
1227C4×D4C23×C8911yescharacteristic
1228C4×D4C23×C8911yescharacteristic
1229C4×D4C23×C8911yescharacteristic
1230C4×D4C23×C8911yescharacteristic
1231#117—21no—
1232#117—21no—
1233#117—21no—
1234#117—21no—
1235#117—21no—
1236#117—21no—
1237#117—21no—
1238#117—21no—
1239#117C23×C8911yescharacteristic
1240#117C23×C8911yescharacteristic
1241#117C23×C8911yescharacteristic
1242#117C23×C8911yescharacteristic
1243#117C23×C8911yescharacteristic
1244C2×C4⋊C4—21no—
1245C2×C4⋊C4C23×C8911yescharacteristic
1246C2×C4⋊C4C23×C8911yescharacteristic
1247C2×C22⋊C4—21no—
1248C2×C42—21no—
1249C2×C42—21no—
1250C2×C42—21no—
1251C2×C42C23×C8911yescharacteristic
1252C2×C42C23×C8911yescharacteristic
1253C2×C42C23×C8911yescharacteristic
1254#107C23×C8911yescharacteristic
1255#107C23×C8911yescharacteristic
1256#107C23×C8911yescharacteristic
1257#107C23×C8911yescharacteristic
1258#107C23×C8911yescharacteristic
1259#107C23×C8911yescharacteristic
1260#107C23×C8911yescharacteristic
1261#107C23×C8911yescharacteristic
1262#107C23×C8911yescharacteristic
1263#107C23×C8911yescharacteristic
1264#106C23×C8911yescharacteristic
1265#106C23×C8911yescharacteristic
1266#106C23×C8911yescharacteristic
1267#106C23×C8911yescharacteristic
1268#106C23×C8911yescharacteristic
1269#106C23×C8911yescharacteristic
1270C4⋊C8C23×C8911yescharacteristic
1271C4⋊C8C23×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#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
1310C22⋊C8C23×C8911yescharacteristic
1311C22⋊C8C23×C8911yescharacteristic
1312C22⋊C8C23×C8911yescharacteristic
1313C22⋊C8C23×C8911yescharacteristic
1314C22⋊C8C23×C8911yescharacteristic
1315C22⋊C8C23×C8911yescharacteristic
1316C22⋊C8C23×C8911yescharacteristic
1317C22⋊C8C23×C8911yescharacteristic
1318#97C23×C8911yescharacteristic
1319#97C23×C8911yescharacteristic
1320#97C23×C8911yescharacteristic
1321#97C23×C8911yescharacteristic
1322#97C23×C8911yescharacteristic
1323#97C23×C8911yescharacteristic
1324C4×C8C23×C8911yescharacteristic
1325C4×C8C23×C8911yescharacteristic
1326C24—21no—
1327#41—41no—
1328#41—41no—
1329#41—41no—
1330#41—41no—
1331#41—41no—
1332#41—41no—
1333#41—82no—
1334#41—82no—
1335C2×Q8—21no—
1336C2×Q8—21no—
1337C2×Q8—21no—
1338C2×Q8—21no—
1339C2×Q8—21no—
1340C2×Q8—41no—
1341C2×Q8—41no—
1342C2×Q8C2×D4×C8911yescharacteristic
1343C2×Q8C24×C8911yescharacteristic
1344C2×Q8C24×C8911yescharacteristic
1345C2×Q8C24×C8911yescharacteristic
1346C2×Q8C24×C8911yescharacteristic
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4C2×D4×C8911yescharacteristic
1365C2×D4C2×D4×C8911yescharacteristic
1366C2×D4C2×D4×C8911yescharacteristic
1367C2×D4C24×C8911yescharacteristic
1368C2×D4C24×C8911yescharacteristic
1369C2×D4C24×C8911yescharacteristic
1370C2×D4C24×C8911yescharacteristic
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—82no—
1385C22×C4C2×D4×C8911yescharacteristic
1386C22×C4C2×D4×C8911yescharacteristic
1387C22×C4C2×D4×C8911yescharacteristic
1388C22×C4C2×D4×C8911yescharacteristic
1389C22×C4C2×D4×C8911yescharacteristic
1390C22×C4C2×D4×C8911yescharacteristic
1391C22×C4C24×C8911yescharacteristic
1392C22×C4C24×C8911yescharacteristic
1393C22×C4C24×C8911yescharacteristic
1394Q16—41no—
1395Q16—41no—
1396Q16—41no—
1397SD16—41no—
1398SD16—41no—
1399SD16—41no—
1400SD16—41no—
1401SD16—41no—
1402SD16—41no—
1403SD16—41no—
1404SD16—41no—
1405SD16—41no—
1406SD16—41no—
1407D8—41no—
1408D8—41no—
1409D8—41no—
1410M16—41no—
1411M16—41no—
1412C2×C8—41no—
1413C2×C8—41no—
1414C2×C8C24×C8911yescharacteristic
1415C2×C8C24×C8911yescharacteristic
1416C2×C8C24×C8911yescharacteristic
1417C2×C8C24×C8911yescharacteristic
1418C2×C8C24×C8911yescharacteristic
1419C2×C8C24×C8911yescharacteristic
1420C2×C8C24×C8911yescharacteristic
1421C2×C8C24×C8911yescharacteristic
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
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⋊C4C2×D4×C8911yescharacteristic
1457C4⋊C4C2×D4×C8911yescharacteristic
1458C4⋊C4C2×D4×C8911yescharacteristic
1459C4⋊C4C2×D4×C8911yescharacteristic
1460C4⋊C4C2×D4×C8911yescharacteristic
1461C4⋊C4C2×D4×C8911yescharacteristic
1462C4⋊C4C24×C8911yescharacteristic
1463C4⋊C4C24×C8911yescharacteristic
1464C4⋊C4C24×C8911yescharacteristic
1465C4⋊C4C24×C8911yescharacteristic
1466C4⋊C4C24×C8911yescharacteristic
1467C4⋊C4C24×C8911yescharacteristic
1468C4⋊C4C24×C8911yescharacteristic
1469C4⋊C4C24×C8911yescharacteristic
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
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⋊C4C2×D4×C8911yescharacteristic
1505C22⋊C4C2×D4×C8911yescharacteristic
1506C22⋊C4C2×D4×C8911yescharacteristic
1507C22⋊C4C2×D4×C8911yescharacteristic
1508C22⋊C4C2×D4×C8911yescharacteristic
1509C22⋊C4C2×D4×C8911yescharacteristic
1510C42—21no—
1511C42—21no—
1512C42—21no—
1513C42—21no—
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42C2×D4×C8911yescharacteristic
1521C42C2×D4×C8911yescharacteristic
1522C42C2×D4×C8911yescharacteristic
1523C42C2×D4×C8911yescharacteristic
1524C42C2×D4×C8911yescharacteristic
1525C42C2×D4×C8911yescharacteristic
1526C42C24×C8911yescharacteristic
1527C42C24×C8911yescharacteristic
1528C42C24×C8911yescharacteristic
1529C42C24×C8911yescharacteristic
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—42no—
1535C23—81no—
1536C23—81no—
1537C23C22×D4×C8911yescharacteristic
1538C23C22×D4×C8911yescharacteristic
1539C23C22×D4×C8911yescharacteristic
1540Q8—21no—
1541Q8—21no—
1542Q8—21no—
1543Q8—21no—
1544Q8—21no—
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—41no—
1549Q8—42no—
1550Q8—81no—
1551Q8—81no—
1552Q8—81no—
1553Q8—81no—
1554D4—21no—
1555D4—21no—
1556D4—21no—
1557D4—21no—
1558D4—21no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—41no—
1563D4—41no—
1564D4—41no—
1565D4—42no—
1566D4—42no—
1567D4—42no—
1568D4—81no—
1569D4—81no—
1570D4—81no—
1571D4—81no—
1572D4—81no—
1573D4—81no—
1574D4—81no—
1575D4—81no—
1576D4—81no—
1577D4—81no—
1578D4—81no—
1579D4—81no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—42no—
1605C2×C4—42no—
1606C2×C4—42no—
1607C2×C4—42no—
1608C2×C4—42no—
1609C2×C4—42no—
1610C2×C4—42no—
1611C2×C4—81no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4C22×D4×C8911yescharacteristic
1618C2×C4C22×D4×C8911yescharacteristic
1619C2×C4C22×D4×C8911yescharacteristic
1620C2×C4C22×D4×C8911yescharacteristic
1621C2×C4C22×D4×C8911yescharacteristic
1622C2×C4C22×D4×C8911yescharacteristic
1623C2×C4C22×D4×C8911yescharacteristic
1624C2×C4C22×D4×C8911yescharacteristic
1625C2×C4C22×D4×C8911yescharacteristic
1626C2×C4C22×D4×C8911yescharacteristic
1627C2×C4C22×D4×C8911yescharacteristic
1628C2×C4C25×C8911yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—21no—
1635C8—21no—
1636C8—21no—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—21no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—84no—
1659C22C23×D4×C8911yescharacteristic
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—21no—
1670C4—21no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4#585×C8911yescharacteristic
1684C4#585×C8911yescharacteristic
1685C2—41no—
1686C2—41no—
1687C2—41no—
1688C2—81no—
1689C2—81no—
1690C2—81no—
1691C2—81no—
1692C2C89×#344911yescharacteristic
1693C2C89×#358511yescharacteristic
1694C2C89×#358611yescharacteristic
subgroupG/H
center, socleC22×C89C23×D4
commutator, Frattini, cosocleC2×C4C25×C89
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C89 ◁ C4×#41×C89 ◁ G

Complements

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

NH ≅ G/Ntype
1. C89×#3461C2semidirect
2. C89×#3460C2semidirect
3. C89×#3262C2semidirect
4. C89×#3260C2semidirect
5. C89×#3258C2semidirect
6. C89×#3257C2semidirect
7. C89×#3243C2semidirect
8. C89×#3243C2semidirect
9. C89×#3242C2semidirect
10. C89×#3241C2semidirect
11. C89×#3225C2semidirect
12. C89×#3224C2semidirect
13. C89×#3222C2semidirect
14. C89×#3221C2semidirect
15. C89×#3203C2semidirect
16. C89×#3201C2semidirect
17. C89×#3200C2semidirect
18. C89×#3198C2semidirect
19. C89×#3183C2semidirect
20. C89×#3182C2semidirect
21. C89×#3181C2semidirect
22. C89×#3180C2semidirect
23. C89×#3117C2semidirect
24. C89×#3116C2semidirect
25. C89×#3115C2semidirect
26. C89×#3114C2semidirect
27. C89×#3112C2semidirect
28. C89×#3111C2semidirect
29. C89×#3111C2semidirect
30. C89×#3110C2semidirect
31. C89×#2923C2semidirect
33. #544×C89C22semidirect
39. #542×C89C22semidirect
42. #541×C89C22semidirect
53. #536×C89C22semidirect
58. #533×C89C22semidirect
69. #529×C89C22semidirect
74. C4×#41×C89C22semidirect
75. C2×C4×Q8×C89C22semidirect
77. #501×C89C22semidirect
78. #501×C89C22semidirect
79. #500×C89C22semidirect
80. #499×C89C22semidirect
85. #491×C89C22semidirect
88. #489×C89C22semidirect
90. #488×C89C22semidirect
91. #487×C89C22semidirect
96. #485×C89C22semidirect
99. #484×C89C22semidirect
104. #482×C89C22semidirect
108. #480×C89C22semidirect
109. #479×C89C22semidirect
110. #479×C89C22semidirect
111. #479×C89C22semidirect
112. #479×C89C22semidirect
115. #478×C89C22semidirect
116. #478×C89C22semidirect
117. #477×C89C22semidirect
118. #477×C89C22semidirect
119. #477×C89C22semidirect
120. #476×C89C22semidirect
121. #475×C89C22semidirect
124. #474×C89C22semidirect
125. #470×C89C22semidirect
130. #468×C89C22semidirect
131. #468×C89C22semidirect
132. #468×C89C22semidirect
133. #467×C89C22semidirect
134. #467×C89C22semidirect
136. #466×C89C22semidirect
140. #465×C89C22semidirect
144. #464×C89C22semidirect
148. #463×C89C22semidirect
149. #462×C89C22semidirect
152. #461×C89C22semidirect
160. #452×C89C22semidirect
161. #451×C89C22semidirect
168. #449×C89C22semidirect
171. #448×C89C22semidirect
175. #442×C89C22semidirect
176. #441×C89C22semidirect
177. #441×C89C22semidirect
178. #441×C89C22semidirect
185. #440×C89C22semidirect
186. #440×C89C22semidirect
187. #440×C89C22semidirect
188. #440×C89C22semidirect
191. #433×C89C22semidirect
192. #433×C89C22semidirect
195. #432×C89C22semidirect
196. #432×C89C22semidirect
197. #424×C89C22semidirect
198. #424×C89C22semidirect
201. C4×M16×C89C22semidirect
202. C2×#97×C89C22semidirect
837. #60973C89direct (N × H)
848. #3461C2×C89semidirect
849. #3460C2×C89semidirect
850. #3262C2×C89semidirect
851. #3260C2×C89semidirect
852. #3258C2×C89semidirect
853. #3257C2×C89semidirect
854. #3243C2×C89semidirect
855. #3243C2×C89semidirect
856. #3242C2×C89semidirect
857. #3241C2×C89semidirect
858. #3225C2×C89semidirect
859. #3224C2×C89semidirect
860. #3222C2×C89semidirect
861. #3221C2×C89semidirect
862. #3203C2×C89semidirect
863. #3201C2×C89semidirect
864. #3200C2×C89semidirect
865. #3198C2×C89semidirect
866. #3183C2×C89semidirect
867. #3182C2×C89semidirect
868. #3181C2×C89semidirect
869. #3180C2×C89semidirect
870. #3117C2×C89semidirect
871. #3116C2×C89semidirect
872. #3115C2×C89semidirect
873. #3114C2×C89semidirect
874. #3112C2×C89semidirect
875. #3111C2×C89semidirect
876. #3111C2×C89semidirect
877. #3110C2×C89semidirect
878. #2923C2×C89semidirect
879. C89#60973direct (N × H)
881. #544C22×C89semidirect
887. #542C22×C89semidirect
890. #541C22×C89semidirect
901. #536C22×C89semidirect
906. #533C22×C89semidirect
917. #529C22×C89semidirect
922. C4×#41C22×C89semidirect
923. C2×C4×Q8C22×C89semidirect
925. #501C22×C89semidirect
926. #501C22×C89semidirect
927. #500C22×C89semidirect
928. #499C22×C89semidirect
933. #491C22×C89semidirect
936. #489C22×C89semidirect
938. #488C22×C89semidirect
939. #487C22×C89semidirect
944. #485C22×C89semidirect
947. #484C22×C89semidirect
952. #482C22×C89semidirect
956. #480C22×C89semidirect
957. #479C22×C89semidirect
958. #479C22×C89semidirect
959. #479C22×C89semidirect
960. #479C22×C89semidirect
963. #478C22×C89semidirect
964. #478C22×C89semidirect
965. #477C22×C89semidirect
966. #477C22×C89semidirect
967. #477C22×C89semidirect
968. #476C22×C89semidirect
969. #475C22×C89semidirect
972. #474C22×C89semidirect
973. #470C22×C89semidirect
978. #468C22×C89semidirect
979. #468C22×C89semidirect
980. #468C22×C89semidirect
981. #467C22×C89semidirect
982. #467C22×C89semidirect
984. #466C22×C89semidirect
988. #465C22×C89semidirect
992. #464C22×C89semidirect
996. #463C22×C89semidirect
997. #462C22×C89semidirect
1000. #461C22×C89semidirect
1008. #452C22×C89semidirect
1009. #451C22×C89semidirect
1016. #449C22×C89semidirect
1019. #448C22×C89semidirect
1023. #442C22×C89semidirect
1024. #441C22×C89semidirect
1025. #441C22×C89semidirect
1026. #441C22×C89semidirect
1033. #440C22×C89semidirect
1034. #440C22×C89semidirect
1035. #440C22×C89semidirect
1036. #440C22×C89semidirect
1039. #433C22×C89semidirect
1040. #433C22×C89semidirect
1043. #432C22×C89semidirect
1044. #432C22×C89semidirect
1045. #424C22×C89semidirect
1046. #424C22×C89semidirect
1049. C4×M16C22×C89semidirect
1050. C2×#97C22×C89semidirect

Maximal subgroups

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

subgroupindex
C89×#34612
C89×#34602
C89×#32622
C89×#32602
C89×#32582
C89×#32572
C89×#32432
C89×#32422
C89×#32412
C89×#32252
C89×#32242
C89×#32222
C89×#32212
C89×#32032
C89×#32012
C89×#32002
C89×#31982
C89×#31832
C89×#31822
C89×#31812
C89×#31802
C89×#31172
C89×#31162
C89×#31152
C89×#31142
C89×#31122
C89×#31112
C89×#31102
C89×#29232
#6097389