Finite Group Databasebeta

← C89×#60997 #36438845

Subgroups — C89×#60997 #36438845

Order 22784.

1746 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×#3512C211yesmaximal, characteristic, complemented
2C89×#3460C211yesmaximal, characteristic, complemented
3C89×#3256C211yesmaximal, characteristic, complemented
4C89×#3251C211yesmaximal, characteristic, complemented
5C89×#3250C211yesmaximal, characteristic, complemented
6C89×#3247C211yesmaximal, characteristic, complemented
7C89×#3242C211yesmaximal, characteristic, complemented
8C89×#3241C211yesmaximal, characteristic, complemented
9C89×#3234C211yesmaximal, characteristic, complemented
10C89×#3232C211yesmaximal, characteristic, complemented
11C89×#3222C211yesmaximal, characteristic, complemented
12C89×#3220C211yesmaximal, characteristic, complemented
13C89×#3219C211yesmaximal, characteristic, complemented
14C89×#3207C211yesmaximal, characteristic, complemented
15C89×#3204C211yesmaximal, characteristic, complemented
16C89×#3203C211yesmaximal, characteristic, complemented
17C89×#3198C211yesmaximal, characteristic, complemented
18C89×#3198C211yesmaximal, characteristic, complemented
19C89×#3179C211yesmaximal, characteristic, complemented
20C89×#3178C211yesmaximal, characteristic, complemented
21C89×#3176C211yesmaximal, characteristic, complemented
22C89×#3174C211yesmaximal, characteristic, complemented
23C89×#3125C211yesmaximal, characteristic, complemented
24C89×#3124C211yesmaximal, characteristic, complemented
25C89×#3119C211yesmaximal, characteristic, complemented
26C89×#3119C211yesmaximal, characteristic, complemented
27C89×#3114C211yesmaximal, characteristic, complemented
28C89×#3111C211yesmaximal, characteristic, complemented
29C89×#3105C211yesmaximal, characteristic, complemented
30C89×#3102C211yesmaximal, characteristic, complemented
31C89×#2925C211yesmaximal, characteristic, complemented
32#553×C89—21no—
33#553×C89—21no—
34#553×C89—21no—
35#553×C89—21no—
36#553×C89—21no—
37#553×C89—21no—
38#552×C89—21no—
39#552×C89—21no—
40#544×C89C2211yescharacteristic
41#542×C89—21no—
42#542×C89C2211yescharacteristic
43#542×C89C2211yescharacteristic
44#541×C89C2211yescharacteristic
45#541×C89C2211yescharacteristic, complemented
46#540×C89—21no—
47#540×C89C2211yescharacteristic
48#540×C89C2211yescharacteristic
49#540×C89C2211yescharacteristic
50#540×C89C2211yescharacteristic, complemented
51#538×C89—21no—
52#538×C89—21no—
53#537×C89C2211yescharacteristic
54#537×C89C2211yescharacteristic
55#537×C89C2211yescharacteristic
56#535×C89C2211yescharacteristic
57#535×C89C2211yescharacteristic
58#532×C89—21no—
59#532×C89C2211yescharacteristic
60#532×C89C2211yescharacteristic
61#532×C89C2211yescharacteristic, complemented
62#529×C89—21no—
63#529×C89C2211yescharacteristic
64#529×C89C2211yescharacteristic
65#529×C89C2211yescharacteristic
66#529×C89C2211yescharacteristic
67#529×C89C2211yescharacteristic, complemented
68#529×C89C2211yescharacteristic, complemented
69C2×#125×C89C2211yescharacteristic, complemented
70#525×C89—21no—
71#525×C89—21no—
72#520×C89C2211yescharacteristic, complemented
73#520×C89C2211yescharacteristic, complemented
74C4×#41×C89C2211yescharacteristic
75C4×#41×C89C2211yescharacteristic
76C2×C4×D4×C89C2211yescharacteristic
77#501×C89C2211yescharacteristic, complemented
78#501×C89C2211yescharacteristic, complemented
79#499×C89C2211yescharacteristic, complemented
80#499×C89C2211yescharacteristic, complemented
81#497×C89C2211yescharacteristic
82#496×C89C2211yescharacteristic
83#493×C89C2211yescharacteristic
84#492×C89C2211yescharacteristic
85#491×C89C2211yescharacteristic, complemented
86#490×C89C2211yescharacteristic
87#490×C89C2211yescharacteristic
88#490×C89C2211yescharacteristic, complemented
89#488×C89C2211yescharacteristic
90#488×C89C2211yescharacteristic
91#487×C89C2211yescharacteristic, complemented
92#486×C89C2211yescharacteristic, complemented
93#485×C89C2211yescharacteristic
94#485×C89C2211yescharacteristic
95#484×C89C2211yescharacteristic
96#484×C89C2211yescharacteristic, complemented
97#483×C89C2211yescharacteristic
98#483×C89C2211yescharacteristic, complemented
99#482×C89C2211yescharacteristic
100#482×C89C2211yescharacteristic
101#481×C89C2211yescharacteristic
102#481×C89C2211yescharacteristic
103#481×C89C2211yescharacteristic
104#481×C89C2211yescharacteristic, complemented
105#480×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
116#478×C89C2211yescharacteristic
117#478×C89C2211yescharacteristic, complemented
118#478×C89C2211yescharacteristic, complemented
119#478×C89C2211yescharacteristic, complemented
120#478×C89C2211yescharacteristic, complemented
121#477×C89C2211yescharacteristic, complemented
122#476×C89C2211yescharacteristic, complemented
123#475×C89C2211yescharacteristic, complemented
124#474×C89C2211yescharacteristic, complemented
125#470×C89C2211yescharacteristic, complemented
126#469×C89C2211yescharacteristic
127#469×C89C2211yescharacteristic
128#469×C89C2211yescharacteristic, complemented
129#468×C89C2211yescharacteristic
130#468×C89C2211yescharacteristic
131#468×C89C2211yescharacteristic, complemented
132#468×C89C2211yescharacteristic, complemented
133#467×C89C2211yescharacteristic, complemented
134#466×C89C2211yescharacteristic
135#466×C89C2211yescharacteristic
136#466×C89C2211yescharacteristic, complemented
137#465×C89C2211yescharacteristic
138#465×C89C2211yescharacteristic
139#465×C89C2211yescharacteristic, complemented
140#465×C89C2211yescharacteristic, complemented
141#464×C89C2211yescharacteristic
142#464×C89C2211yescharacteristic
143#464×C89C2211yescharacteristic, complemented
144#464×C89C2211yescharacteristic, complemented
145#463×C89C2211yescharacteristic
146#463×C89C2211yescharacteristic
147#463×C89C2211yescharacteristic
148#463×C89C2211yescharacteristic
149#463×C89C2211yescharacteristic
150#463×C89C2211yescharacteristic
151#463×C89C2211yescharacteristic, complemented
152#463×C89C2211yescharacteristic, complemented
153#460×C89C2211yescharacteristic
154#460×C89C2211yescharacteristic
155#459×C89C2211yescharacteristic
156#459×C89C2211yescharacteristic
157#452×C89C2211yescharacteristic
158#452×C89C2211yescharacteristic
159#452×C89C2211yescharacteristic, complemented
160#452×C89C2211yescharacteristic, complemented
161#450×C89C2211yescharacteristic
162#450×C89C2211yescharacteristic
163#449×C89C2211yescharacteristic
164#449×C89C2211yescharacteristic
165#449×C89C2211yescharacteristic
166#449×C89C2211yescharacteristic
167#449×C89C2211yescharacteristic
168#449×C89C2211yescharacteristic
169#449×C89C2211yescharacteristic, complemented
170#449×C89C2211yescharacteristic, complemented
171#447×C89C2211yescharacteristic
172#447×C89C2211yescharacteristic
173#442×C89C2211yescharacteristic
174#442×C89C2211yescharacteristic
175#442×C89C2211yescharacteristic, complemented
176#441×C89C2211yescharacteristic, complemented
177#440×C89C2211yescharacteristic
178#440×C89C2211yescharacteristic
179#440×C89C2211yescharacteristic, complemented
180#440×C89C2211yescharacteristic, complemented
181C4×Q16×C89C2211yescharacteristic, complemented
182C4×SD16×C89C2211yescharacteristic
183C4×SD16×C89C2211yescharacteristic
184C4×SD16×C89C2211yescharacteristic, complemented
185C4×SD16×C89C2211yescharacteristic, complemented
186C4×D8×C89C2211yescharacteristic
187C4×D8×C89C2211yescharacteristic
188C4×D8×C89C2211yescharacteristic, complemented
189#433×C89C2211yescharacteristic
190#433×C89C2211yescharacteristic
191#433×C89C2211yescharacteristic, complemented
192#433×C89C2211yescharacteristic, complemented
193#432×C89C2211yescharacteristic
194#432×C89C2211yescharacteristic, complemented
195#431×C89C2211yescharacteristic
196#431×C89C2211yescharacteristic, complemented
197#423×C89C2211yescharacteristic, complemented
198C2×C4⋊C8×C89C2211yescharacteristic, complemented
199#408×C89C2211yescharacteristic
200#408×C89C2211yescharacteristic
201#405×C89C2211yescharacteristic, complemented
202#405×C89C2211yescharacteristic, complemented
203C2×#41×C89—21no—
204C2×#41×C89—21no—
205C2×#41×C89C2311yescharacteristic
206C2×#41×C89C2311yescharacteristic
207C2×#41×C89C2311yescharacteristic
208C2×#41×C89C2311yescharacteristic
209C22×D4×C89C2311yescharacteristic
210C23×C4×C89—21no—
211C2×Q16×C89C2311yescharacteristic
212C2×Q16×C89C2311yescharacteristic
213C2×SD16×C89C2311yescharacteristic
214C2×SD16×C89C2311yescharacteristic
215C2×SD16×C89C2311yescharacteristic
216C2×SD16×C89C2311yescharacteristic
217C2×SD16×C89C2311yescharacteristic
218C2×SD16×C89C2311yescharacteristic
219C2×SD16×C89C2311yescharacteristic
220C2×SD16×C89C2311yescharacteristic
221C2×D8×C89C2311yescharacteristic
222C2×D8×C89C2311yescharacteristic
223C2×D8×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×C89C2311yescharacteristic
233C4⋊Q8×C89C2311yescharacteristic
234C4⋊Q8×C89C2311yescharacteristic
235#127×C89—21no—
236#127×C89C2311yescharacteristic
237#127×C89C2311yescharacteristic
238#127×C89C2311yescharacteristic
239#126×C89—21no—
240#126×C89—21no—
241#126×C89—21no—
242#126×C89—21no—
243#126×C89—21no—
244#126×C89—21no—
245#126×C89—21no—
246#126×C89—21no—
247#126×C89—21no—
248#126×C89—21no—
249#126×C89—21no—
250#126×C89—21no—
251#125×C89—21no—
252#125×C89—21no—
253#125×C89—21no—
254#125×C89—21no—
255#125×C89—21no—
256#125×C89—21no—
257#125×C89—21no—
258#125×C89C2311yescharacteristic
259#125×C89C2311yescharacteristic
260#125×C89C2311yescharacteristic
261#125×C89C2311yescharacteristic
262#125×C89C2311yescharacteristic
263#125×C89C2311yescharacteristic
264#124×C89—21no—
265#124×C89—21no—
266#124×C89—21no—
267#124×C89—21no—
268#124×C89—21no—
269#124×C89C2311yescharacteristic
270#124×C89C2311yescharacteristic
271#124×C89C2311yescharacteristic
272#124×C89C2311yescharacteristic
273#123×C89—21no—
274#123×C89—21no—
275#123×C89—21no—
276#123×C89—21no—
277#123×C89—21no—
278#123×C89—21no—
279#123×C89—21no—
280#123×C89—21no—
281#123×C89—21no—
282#123×C89—21no—
283#123×C89—21no—
284#123×C89—21no—
285#123×C89—21no—
286#123×C89—21no—
287#123×C89—21no—
288#123×C89—21no—
289C22⋊Q8×C89—21no—
290C22⋊Q8×C89—21no—
291C22⋊Q8×C89—21no—
292C22⋊Q8×C89—21no—
293C22⋊Q8×C89—21no—
294C22⋊Q8×C89—21no—
295C22⋊Q8×C89—21no—
296C22⋊Q8×C89C2311yescharacteristic
297C22⋊Q8×C89C2311yescharacteristic
298C22⋊Q8×C89C2311yescharacteristic
299C22⋊Q8×C89C2311yescharacteristic
300C22⋊Q8×C89C2311yescharacteristic
301C22⋊Q8×C89C2311yescharacteristic
302#121×C89—21no—
303#121×C89—21no—
304#121×C89—21no—
305#121×C89—21no—
306#121×C89—21no—
307#121×C89—21no—
308#121×C89—21no—
309#121×C89—21no—
310#121×C89—21no—
311#121×C89—21no—
312#121×C89—21no—
313#121×C89—21no—
314#121×C89—21no—
315#121×C89—21no—
316#121×C89—21no—
317#121×C89—21no—
318#121×C89—21no—
319#121×C89—21no—
320#121×C89—21no—
321#121×C89—21no—
322#121×C89—21no—
323#121×C89—21no—
324#121×C89—21no—
325#121×C89C2311yescharacteristic
326#121×C89C2311yescharacteristic
327#121×C89C2311yescharacteristic
328#121×C89C2311yescharacteristic
329#121×C89C2311yescharacteristic
330#121×C89C2311yescharacteristic
331#121×C89C2311yescharacteristic
332#121×C89C2311yescharacteristic
333#121×C89C2311yescharacteristic
334#121×C89C2311yescharacteristic
335#120×C89—21no—
336#120×C89—21no—
337#120×C89—21no—
338#120×C89—21no—
339C4×Q8×C89D411yescharacteristic
340C4×Q8×C89D411yescharacteristic
341C4×Q8×C89C2311yescharacteristic
342C4×Q8×C89C2311yescharacteristic
343C4×Q8×C89C2311yescharacteristic
344C4×Q8×C89C2311yescharacteristic
345C4×Q8×C89C2311yescharacteristic
346C4×Q8×C89C2311yescharacteristic
347C4×D4×C89—21no—
348C4×D4×C89—21no—
349C4×D4×C89—21no—
350C4×D4×C89—21no—
351C4×D4×C89—21no—
352C4×D4×C89—21no—
353C4×D4×C89—21no—
354C4×D4×C89—21no—
355C4×D4×C89—21no—
356C4×D4×C89—21no—
357C4×D4×C89—21no—
358C4×D4×C89—21no—
359C4×D4×C89—21no—
360C4×D4×C89—21no—
361C4×D4×C89—21no—
362C4×D4×C89—21no—
363C4×D4×C89—21no—
364C4×D4×C89—21no—
365C4×D4×C89D411yescharacteristic
366C4×D4×C89D411yescharacteristic
367C4×D4×C89D411yescharacteristic
368C4×D4×C89D411yescharacteristic
369C4×D4×C89D411yescharacteristic
370C4×D4×C89D411yescharacteristic
371C4×D4×C89C2311yescharacteristic
372C4×D4×C89C2311yescharacteristic
373C4×D4×C89C2311yescharacteristic
374C4×D4×C89C2311yescharacteristic
375C4×D4×C89C2311yescharacteristic
376C4×D4×C89C2311yescharacteristic
377C4×D4×C89C2311yescharacteristic
378C4×D4×C89C2311yescharacteristic
379C4×D4×C89C2311yescharacteristic
380C4×D4×C89C2311yescharacteristic
381#117×C89—21no—
382#117×C89—21no—
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×C89C2311yescharacteristic
391#117×C89C2311yescharacteristic
392#117×C89C2311yescharacteristic
393#117×C89C2311yescharacteristic
394C2×C4⋊C4×C89—21no—
395C2×C4⋊C4×C89—21no—
396C2×C4⋊C4×C89—21no—
397C2×C4⋊C4×C89—21no—
398C2×C4⋊C4×C89C2311yescharacteristic
399C2×C4⋊C4×C89C2311yescharacteristic
400C2×C4⋊C4×C89C2311yescharacteristic
401C2×C22⋊C4×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#106×C89C2311yescharacteristic
415#106×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#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
468C22⋊C8×C89C2311yescharacteristic
469C22⋊C8×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×C89C2×D411yescharacteristic
492C2×Q8×C89C2411yescharacteristic
493C2×Q8×C89C2411yescharacteristic
494C2×Q8×C89C2411yescharacteristic
495C2×D4×C89—21no—
496C2×D4×C89—21no—
497C2×D4×C89—21no—
498C2×D4×C89—21no—
499C2×D4×C89—21no—
500C2×D4×C89—21no—
501C2×D4×C89—21no—
502C2×D4×C89—21no—
503C2×D4×C89—21no—
504C2×D4×C89—21no—
505C2×D4×C89—21no—
506C2×D4×C89—21no—
507C2×D4×C89—21no—
508C2×D4×C89—21no—
509C2×D4×C89—21no—
510C2×D4×C89—21no—
511C2×D4×C89—21no—
512C2×D4×C89—21no—
513C2×D4×C89—21no—
514C2×D4×C89—21no—
515C2×D4×C89—41no—
516C2×D4×C89—41no—
517C2×D4×C89C2×D411yescharacteristic
518C2×D4×C89C2×D411yescharacteristic
519C2×D4×C89C2×D411yescharacteristic
520C2×D4×C89C2411yescharacteristic
521C2×D4×C89C2411yescharacteristic
522C2×D4×C89C2411yescharacteristic
523C2×D4×C89C2411yescharacteristic
524C2×D4×C89C2411yescharacteristic
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—21no—
537C22×C4×C89—21no—
538C22×C4×C89—21no—
539C22×C4×C89—21no—
540C22×C4×C89—21no—
541C22×C4×C89—82no—
542C22×C4×C89C2×D411yescharacteristic
543C22×C4×C89C2×D411yescharacteristic
544C22×C4×C89C2×D411yescharacteristic
545C22×C4×C89C2×D411yescharacteristic
546C22×C4×C89C2×D411yescharacteristic
547C22×C4×C89C2×D411yescharacteristic
548C22×C4×C89C2411yescharacteristic
549C22×C4×C89C2411yescharacteristic
550C22×C4×C89C2411yescharacteristic
551Q16×C89—41no—
552Q16×C89—41no—
553SD16×C89—41no—
554SD16×C89—41no—
555SD16×C89—41no—
556SD16×C89—41no—
557SD16×C89—41no—
558SD16×C89—41no—
559SD16×C89—41no—
560SD16×C89—41no—
561D8×C89—41no—
562D8×C89—41no—
563D8×C89—41no—
564D8×C89—41no—
565D8×C89—41no—
566D8×C89—41no—
567M16×C89—41no—
568M16×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×C89—21no—
607C4⋊C4×C89—21no—
608C4⋊C4×C89—21no—
609C4⋊C4×C89—21no—
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
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—21no—
687C23×C89—42no—
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—81no—
701Q8×C89—81no—
702D4×C89—21no—
703D4×C89—21no—
704D4×C89—21no—
705D4×C89—21no—
706D4×C89—21no—
707D4×C89—21no—
708D4×C89—21no—
709D4×C89—21no—
710D4×C89—21no—
711D4×C89—21no—
712D4×C89—41no—
713D4×C89—41no—
714D4×C89—41no—
715D4×C89—42no—
716D4×C89—42no—
717D4×C89—42no—
718D4×C89—42no—
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—
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—21no—
751C2×C4×C89—21no—
752C2×C4×C89—41no—
753C2×C4×C89—41no—
754C2×C4×C89—41no—
755C2×C4×C89—41no—
756C2×C4×C89—41no—
757C2×C4×C89—41no—
758C2×C4×C89—42no—
759C2×C4×C89—42no—
760C2×C4×C89—42no—
761C2×C4×C89—42no—
762C2×C4×C89—42no—
763C2×C4×C89—42no—
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—84no—
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#60997C8911yesmaximal, 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#344911yescharacteristic
854C2×C89#358411yescharacteristic
855C2×C89#358511yescharacteristic
856#3512C2×C8911yescharacteristic, complemented
857#3460C2×C8911yescharacteristic, complemented
858#3256C2×C8911yescharacteristic, complemented
859#3251C2×C8911yescharacteristic, complemented
860#3250C2×C8911yescharacteristic, complemented
861#3247C2×C8911yescharacteristic, complemented
862#3242C2×C8911yescharacteristic, complemented
863#3241C2×C8911yescharacteristic, complemented
864#3234C2×C8911yescharacteristic, complemented
865#3232C2×C8911yescharacteristic, complemented
866#3222C2×C8911yescharacteristic, complemented
867#3220C2×C8911yescharacteristic, complemented
868#3219C2×C8911yescharacteristic, complemented
869#3207C2×C8911yescharacteristic, complemented
870#3204C2×C8911yescharacteristic, complemented
871#3203C2×C8911yescharacteristic, complemented
872#3198C2×C8911yescharacteristic, complemented
873#3198C2×C8911yescharacteristic, complemented
874#3179C2×C8911yescharacteristic, complemented
875#3178C2×C8911yescharacteristic, complemented
876#3176C2×C8911yescharacteristic, complemented
877#3174C2×C8911yescharacteristic, complemented
878#3125C2×C8911yescharacteristic, complemented
879#3124C2×C8911yescharacteristic, complemented
880#3119C2×C8911yescharacteristic, complemented
881#3119C2×C8911yescharacteristic, complemented
882#3114C2×C8911yescharacteristic, complemented
883#3111C2×C8911yescharacteristic, complemented
884#3105C2×C8911yescharacteristic, complemented
885#3102C2×C8911yescharacteristic, complemented
886#2925C2×C8911yescharacteristic, complemented
887C89#6099711yescharacteristic, direct product factor, Sylow
888#553—21no—
889#553—21no—
890#553—21no—
891#553—21no—
892#553—21no—
893#553—21no—
894#552—21no—
895#552—21no—
896#544C22×C8911yescharacteristic
897#542—21no—
898#542C22×C8911yescharacteristic
899#542C22×C8911yescharacteristic
900#541C22×C8911yescharacteristic
901#541C22×C8911yescharacteristic, complemented
902#540—21no—
903#540C22×C8911yescharacteristic
904#540C22×C8911yescharacteristic
905#540C22×C8911yescharacteristic
906#540C22×C8911yescharacteristic, complemented
907#538—21no—
908#538—21no—
909#537C22×C8911yescharacteristic
910#537C22×C8911yescharacteristic
911#537C22×C8911yescharacteristic
912#535C22×C8911yescharacteristic
913#535C22×C8911yescharacteristic
914#532—21no—
915#532C22×C8911yescharacteristic
916#532C22×C8911yescharacteristic
917#532C22×C8911yescharacteristic, complemented
918#529—21no—
919#529C22×C8911yescharacteristic
920#529C22×C8911yescharacteristic
921#529C22×C8911yescharacteristic
922#529C22×C8911yescharacteristic
923#529C22×C8911yescharacteristic, complemented
924#529C22×C8911yescharacteristic, complemented
925C2×#125C22×C8911yescharacteristic, complemented
926#525—21no—
927#525—21no—
928#520C22×C8911yescharacteristic, complemented
929#520C22×C8911yescharacteristic, complemented
930C4×#41C22×C8911yescharacteristic
931C4×#41C22×C8911yescharacteristic
932C2×C4×D4C22×C8911yescharacteristic
933#501C22×C8911yescharacteristic, complemented
934#501C22×C8911yescharacteristic, complemented
935#499C22×C8911yescharacteristic, complemented
936#499C22×C8911yescharacteristic, complemented
937#497C22×C8911yescharacteristic
938#496C22×C8911yescharacteristic
939#493C22×C8911yescharacteristic
940#492C22×C8911yescharacteristic
941#491C22×C8911yescharacteristic, complemented
942#490C22×C8911yescharacteristic
943#490C22×C8911yescharacteristic
944#490C22×C8911yescharacteristic, complemented
945#488C22×C8911yescharacteristic
946#488C22×C8911yescharacteristic
947#487C22×C8911yescharacteristic, complemented
948#486C22×C8911yescharacteristic, complemented
949#485C22×C8911yescharacteristic
950#485C22×C8911yescharacteristic
951#484C22×C8911yescharacteristic
952#484C22×C8911yescharacteristic, complemented
953#483C22×C8911yescharacteristic
954#483C22×C8911yescharacteristic, complemented
955#482C22×C8911yescharacteristic
956#482C22×C8911yescharacteristic
957#481C22×C8911yescharacteristic
958#481C22×C8911yescharacteristic
959#481C22×C8911yescharacteristic
960#481C22×C8911yescharacteristic, complemented
961#480C22×C8911yescharacteristic
962#480C22×C8911yescharacteristic
963#480C22×C8911yescharacteristic
964#480C22×C8911yescharacteristic, complemented
965#479C22×C8911yescharacteristic, complemented
966#479C22×C8911yescharacteristic, complemented
967#479C22×C8911yescharacteristic, complemented
968#479C22×C8911yescharacteristic, complemented
969#478C22×C8911yescharacteristic
970#478C22×C8911yescharacteristic
971#478C22×C8911yescharacteristic
972#478C22×C8911yescharacteristic
973#478C22×C8911yescharacteristic, complemented
974#478C22×C8911yescharacteristic, complemented
975#478C22×C8911yescharacteristic, complemented
976#478C22×C8911yescharacteristic, complemented
977#477C22×C8911yescharacteristic, complemented
978#476C22×C8911yescharacteristic, complemented
979#475C22×C8911yescharacteristic, complemented
980#474C22×C8911yescharacteristic, complemented
981#470C22×C8911yescharacteristic, complemented
982#469C22×C8911yescharacteristic
983#469C22×C8911yescharacteristic
984#469C22×C8911yescharacteristic, complemented
985#468C22×C8911yescharacteristic
986#468C22×C8911yescharacteristic
987#468C22×C8911yescharacteristic, complemented
988#468C22×C8911yescharacteristic, complemented
989#467C22×C8911yescharacteristic, complemented
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#464C22×C8911yescharacteristic
998#464C22×C8911yescharacteristic
999#464C22×C8911yescharacteristic, complemented
1000#464C22×C8911yescharacteristic, complemented
1001#463C22×C8911yescharacteristic
1002#463C22×C8911yescharacteristic
1003#463C22×C8911yescharacteristic
1004#463C22×C8911yescharacteristic
1005#463C22×C8911yescharacteristic
1006#463C22×C8911yescharacteristic
1007#463C22×C8911yescharacteristic, complemented
1008#463C22×C8911yescharacteristic, complemented
1009#460C22×C8911yescharacteristic
1010#460C22×C8911yescharacteristic
1011#459C22×C8911yescharacteristic
1012#459C22×C8911yescharacteristic
1013#452C22×C8911yescharacteristic
1014#452C22×C8911yescharacteristic
1015#452C22×C8911yescharacteristic, complemented
1016#452C22×C8911yescharacteristic, complemented
1017#450C22×C8911yescharacteristic
1018#450C22×C8911yescharacteristic
1019#449C22×C8911yescharacteristic
1020#449C22×C8911yescharacteristic
1021#449C22×C8911yescharacteristic
1022#449C22×C8911yescharacteristic
1023#449C22×C8911yescharacteristic
1024#449C22×C8911yescharacteristic
1025#449C22×C8911yescharacteristic, complemented
1026#449C22×C8911yescharacteristic, complemented
1027#447C22×C8911yescharacteristic
1028#447C22×C8911yescharacteristic
1029#442C22×C8911yescharacteristic
1030#442C22×C8911yescharacteristic
1031#442C22×C8911yescharacteristic, complemented
1032#441C22×C8911yescharacteristic, complemented
1033#440C22×C8911yescharacteristic
1034#440C22×C8911yescharacteristic
1035#440C22×C8911yescharacteristic, complemented
1036#440C22×C8911yescharacteristic, complemented
1037C4×Q16C22×C8911yescharacteristic, complemented
1038C4×SD16C22×C8911yescharacteristic
1039C4×SD16C22×C8911yescharacteristic
1040C4×SD16C22×C8911yescharacteristic, complemented
1041C4×SD16C22×C8911yescharacteristic, complemented
1042C4×D8C22×C8911yescharacteristic
1043C4×D8C22×C8911yescharacteristic
1044C4×D8C22×C8911yescharacteristic, complemented
1045#433C22×C8911yescharacteristic
1046#433C22×C8911yescharacteristic
1047#433C22×C8911yescharacteristic, complemented
1048#433C22×C8911yescharacteristic, complemented
1049#432C22×C8911yescharacteristic
1050#432C22×C8911yescharacteristic, complemented
1051#431C22×C8911yescharacteristic
1052#431C22×C8911yescharacteristic, complemented
1053#423C22×C8911yescharacteristic, complemented
1054C2×C4⋊C8C22×C8911yescharacteristic, complemented
1055#408C22×C8911yescharacteristic
1056#408C22×C8911yescharacteristic
1057#405C22×C8911yescharacteristic, complemented
1058#405C22×C8911yescharacteristic, complemented
1059C2×#41—21no—
1060C2×#41—21no—
1061C2×#41C23×C8911yescharacteristic
1062C2×#41C23×C8911yescharacteristic
1063C2×#41C23×C8911yescharacteristic
1064C2×#41C23×C8911yescharacteristic
1065C22×D4C23×C8911yescharacteristic
1066C23×C4—21no—
1067C2×Q16C23×C8911yescharacteristic
1068C2×Q16C23×C8911yescharacteristic
1069C2×SD16C23×C8911yescharacteristic
1070C2×SD16C23×C8911yescharacteristic
1071C2×SD16C23×C8911yescharacteristic
1072C2×SD16C23×C8911yescharacteristic
1073C2×SD16C23×C8911yescharacteristic
1074C2×SD16C23×C8911yescharacteristic
1075C2×SD16C23×C8911yescharacteristic
1076C2×SD16C23×C8911yescharacteristic
1077C2×D8C23×C8911yescharacteristic
1078C2×D8C23×C8911yescharacteristic
1079C2×D8C23×C8911yescharacteristic
1080C2×D8C23×C8911yescharacteristic
1081C2×D8C23×C8911yescharacteristic
1082C2×D8C23×C8911yescharacteristic
1083C2×M16C23×C8911yescharacteristic
1084C2×M16C23×C8911yescharacteristic
1085C22×C8C23×C8911yescharacteristic
1086C22×C8C23×C8911yescharacteristic
1087C4⋊Q8—21no—
1088C4⋊Q8C23×C8911yescharacteristic
1089C4⋊Q8C23×C8911yescharacteristic
1090C4⋊Q8C23×C8911yescharacteristic
1091#127—21no—
1092#127C23×C8911yescharacteristic
1093#127C23×C8911yescharacteristic
1094#127C23×C8911yescharacteristic
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#126—21no—
1104#126—21no—
1105#126—21no—
1106#126—21no—
1107#125—21no—
1108#125—21no—
1109#125—21no—
1110#125—21no—
1111#125—21no—
1112#125—21no—
1113#125—21no—
1114#125C23×C8911yescharacteristic
1115#125C23×C8911yescharacteristic
1116#125C23×C8911yescharacteristic
1117#125C23×C8911yescharacteristic
1118#125C23×C8911yescharacteristic
1119#125C23×C8911yescharacteristic
1120#124—21no—
1121#124—21no—
1122#124—21no—
1123#124—21no—
1124#124—21no—
1125#124C23×C8911yescharacteristic
1126#124C23×C8911yescharacteristic
1127#124C23×C8911yescharacteristic
1128#124C23×C8911yescharacteristic
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—
1143#123—21no—
1144#123—21no—
1145C22⋊Q8—21no—
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8C23×C8911yescharacteristic
1153C22⋊Q8C23×C8911yescharacteristic
1154C22⋊Q8C23×C8911yescharacteristic
1155C22⋊Q8C23×C8911yescharacteristic
1156C22⋊Q8C23×C8911yescharacteristic
1157C22⋊Q8C23×C8911yescharacteristic
1158#121—21no—
1159#121—21no—
1160#121—21no—
1161#121—21no—
1162#121—21no—
1163#121—21no—
1164#121—21no—
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#121—21no—
1180#121—21no—
1181#121C23×C8911yescharacteristic
1182#121C23×C8911yescharacteristic
1183#121C23×C8911yescharacteristic
1184#121C23×C8911yescharacteristic
1185#121C23×C8911yescharacteristic
1186#121C23×C8911yescharacteristic
1187#121C23×C8911yescharacteristic
1188#121C23×C8911yescharacteristic
1189#121C23×C8911yescharacteristic
1190#121C23×C8911yescharacteristic
1191#120—21no—
1192#120—21no—
1193#120—21no—
1194#120—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×D4—21no—
1204C4×D4—21no—
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×D4—21no—
1218C4×D4—21no—
1219C4×D4—21no—
1220C4×D4—21no—
1221C4×D4D4×C8911yescharacteristic
1222C4×D4D4×C8911yescharacteristic
1223C4×D4D4×C8911yescharacteristic
1224C4×D4D4×C8911yescharacteristic
1225C4×D4D4×C8911yescharacteristic
1226C4×D4D4×C8911yescharacteristic
1227C4×D4C23×C8911yescharacteristic
1228C4×D4C23×C8911yescharacteristic
1229C4×D4C23×C8911yescharacteristic
1230C4×D4C23×C8911yescharacteristic
1231C4×D4C23×C8911yescharacteristic
1232C4×D4C23×C8911yescharacteristic
1233C4×D4C23×C8911yescharacteristic
1234C4×D4C23×C8911yescharacteristic
1235C4×D4C23×C8911yescharacteristic
1236C4×D4C23×C8911yescharacteristic
1237#117—21no—
1238#117—21no—
1239#117—21no—
1240#117—21no—
1241#117—21no—
1242#117—21no—
1243#117—21no—
1244#117—21no—
1245#117—21no—
1246#117C23×C8911yescharacteristic
1247#117C23×C8911yescharacteristic
1248#117C23×C8911yescharacteristic
1249#117C23×C8911yescharacteristic
1250C2×C4⋊C4—21no—
1251C2×C4⋊C4—21no—
1252C2×C4⋊C4—21no—
1253C2×C4⋊C4—21no—
1254C2×C4⋊C4C23×C8911yescharacteristic
1255C2×C4⋊C4C23×C8911yescharacteristic
1256C2×C4⋊C4C23×C8911yescharacteristic
1257C2×C22⋊C4—21no—
1258C2×C42—21no—
1259C2×C42C23×C8911yescharacteristic
1260C2×C42C23×C8911yescharacteristic
1261C2×C42C23×C8911yescharacteristic
1262#107C23×C8911yescharacteristic
1263#107C23×C8911yescharacteristic
1264#107C23×C8911yescharacteristic
1265#107C23×C8911yescharacteristic
1266#107C23×C8911yescharacteristic
1267#107C23×C8911yescharacteristic
1268#107C23×C8911yescharacteristic
1269#107C23×C8911yescharacteristic
1270#106C23×C8911yescharacteristic
1271#106C23×C8911yescharacteristic
1272#106C23×C8911yescharacteristic
1273#106C23×C8911yescharacteristic
1274#106C23×C8911yescharacteristic
1275#106C23×C8911yescharacteristic
1276#106C23×C8911yescharacteristic
1277#106C23×C8911yescharacteristic
1278C4⋊C8C23×C8911yescharacteristic
1279C4⋊C8C23×C8911yescharacteristic
1280C4⋊C8C23×C8911yescharacteristic
1281C4⋊C8C23×C8911yescharacteristic
1282C4⋊C8C23×C8911yescharacteristic
1283C4⋊C8C23×C8911yescharacteristic
1284C4⋊C8C23×C8911yescharacteristic
1285C4⋊C8C23×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#103C23×C8911yescharacteristic
1297#103C23×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
1324C22⋊C8C23×C8911yescharacteristic
1325C22⋊C8C23×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×Q8C2×D4×C8911yescharacteristic
1348C2×Q8C24×C8911yescharacteristic
1349C2×Q8C24×C8911yescharacteristic
1350C2×Q8C24×C8911yescharacteristic
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—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—41no—
1372C2×D4—41no—
1373C2×D4C2×D4×C8911yescharacteristic
1374C2×D4C2×D4×C8911yescharacteristic
1375C2×D4C2×D4×C8911yescharacteristic
1376C2×D4C24×C8911yescharacteristic
1377C2×D4C24×C8911yescharacteristic
1378C2×D4C24×C8911yescharacteristic
1379C2×D4C24×C8911yescharacteristic
1380C2×D4C24×C8911yescharacteristic
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
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—82no—
1398C22×C4C2×D4×C8911yescharacteristic
1399C22×C4C2×D4×C8911yescharacteristic
1400C22×C4C2×D4×C8911yescharacteristic
1401C22×C4C2×D4×C8911yescharacteristic
1402C22×C4C2×D4×C8911yescharacteristic
1403C22×C4C2×D4×C8911yescharacteristic
1404C22×C4C24×C8911yescharacteristic
1405C22×C4C24×C8911yescharacteristic
1406C22×C4C24×C8911yescharacteristic
1407Q16—41no—
1408Q16—41no—
1409SD16—41no—
1410SD16—41no—
1411SD16—41no—
1412SD16—41no—
1413SD16—41no—
1414SD16—41no—
1415SD16—41no—
1416SD16—41no—
1417D8—41no—
1418D8—41no—
1419D8—41no—
1420D8—41no—
1421D8—41no—
1422D8—41no—
1423M16—41no—
1424M16—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⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
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
1521C42—21no—
1522C42—21no—
1523C42—21no—
1524C42—21no—
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42C2×D4×C8911yescharacteristic
1529C42C2×D4×C8911yescharacteristic
1530C42C2×D4×C8911yescharacteristic
1531C42C2×D4×C8911yescharacteristic
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—42no—
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—81no—
1557Q8—81no—
1558D4—21no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—21no—
1563D4—21no—
1564D4—21no—
1565D4—21no—
1566D4—21no—
1567D4—21no—
1568D4—41no—
1569D4—41no—
1570D4—41no—
1571D4—42no—
1572D4—42no—
1573D4—42no—
1574D4—42no—
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—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
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—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—42no—
1615C2×C4—42no—
1616C2×C4—42no—
1617C2×C4—42no—
1618C2×C4—42no—
1619C2×C4—42no—
1620C2×C4—81no—
1621C2×C4—81no—
1622C2×C4—81no—
1623C2×C4—81no—
1624C2×C4—81no—
1625C2×C4—81no—
1626C2×C4—81no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×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—84no—
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×#344911yescharacteristic
1709C2C89×#358411yescharacteristic
1710C2C89×#358511yescharacteristic
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×#3512C2semidirect
2. C89×#3460C2semidirect
3. C89×#3256C2semidirect
4. C89×#3251C2semidirect
5. C89×#3250C2semidirect
6. C89×#3247C2semidirect
7. C89×#3242C2semidirect
8. C89×#3241C2semidirect
9. C89×#3234C2semidirect
10. C89×#3232C2semidirect
11. C89×#3222C2semidirect
12. C89×#3220C2semidirect
13. C89×#3219C2semidirect
14. C89×#3207C2semidirect
15. C89×#3204C2semidirect
16. C89×#3203C2semidirect
17. C89×#3198C2semidirect
18. C89×#3198C2semidirect
19. C89×#3179C2semidirect
20. C89×#3178C2semidirect
21. C89×#3176C2semidirect
22. C89×#3174C2semidirect
23. C89×#3125C2semidirect
24. C89×#3124C2semidirect
25. C89×#3119C2semidirect
26. C89×#3119C2semidirect
27. C89×#3114C2semidirect
28. C89×#3111C2semidirect
29. C89×#3105C2semidirect
30. C89×#3102C2semidirect
31. C89×#2925C2semidirect
45. #541×C89C22semidirect
50. #540×C89C22semidirect
61. #532×C89C22semidirect
67. #529×C89C22semidirect
68. #529×C89C22semidirect
69. C2×#125×C89C22semidirect
72. #520×C89C22semidirect
73. #520×C89C22semidirect
77. #501×C89C22semidirect
78. #501×C89C22semidirect
79. #499×C89C22semidirect
80. #499×C89C22semidirect
85. #491×C89C22semidirect
88. #490×C89C22semidirect
91. #487×C89C22semidirect
92. #486×C89C22semidirect
96. #484×C89C22semidirect
98. #483×C89C22semidirect
104. #481×C89C22semidirect
108. #480×C89C22semidirect
109. #479×C89C22semidirect
110. #479×C89C22semidirect
111. #479×C89C22semidirect
112. #479×C89C22semidirect
117. #478×C89C22semidirect
118. #478×C89C22semidirect
119. #478×C89C22semidirect
120. #478×C89C22semidirect
121. #477×C89C22semidirect
122. #476×C89C22semidirect
123. #475×C89C22semidirect
124. #474×C89C22semidirect
125. #470×C89C22semidirect
128. #469×C89C22semidirect
131. #468×C89C22semidirect
132. #468×C89C22semidirect
133. #467×C89C22semidirect
136. #466×C89C22semidirect
139. #465×C89C22semidirect
140. #465×C89C22semidirect
143. #464×C89C22semidirect
144. #464×C89C22semidirect
151. #463×C89C22semidirect
152. #463×C89C22semidirect
159. #452×C89C22semidirect
160. #452×C89C22semidirect
169. #449×C89C22semidirect
170. #449×C89C22semidirect
175. #442×C89C22semidirect
176. #441×C89C22semidirect
179. #440×C89C22semidirect
180. #440×C89C22semidirect
181. C4×Q16×C89C22semidirect
184. C4×SD16×C89C22semidirect
185. C4×SD16×C89C22semidirect
188. C4×D8×C89C22semidirect
191. #433×C89C22semidirect
192. #433×C89C22semidirect
194. #432×C89C22semidirect
196. #431×C89C22semidirect
197. #423×C89C22semidirect
198. C2×C4⋊C8×C89C22semidirect
201. #405×C89C22semidirect
202. #405×C89C22semidirect
844. #60997C89direct (N × H)
856. #3512C2×C89semidirect
857. #3460C2×C89semidirect
858. #3256C2×C89semidirect
859. #3251C2×C89semidirect
860. #3250C2×C89semidirect
861. #3247C2×C89semidirect
862. #3242C2×C89semidirect
863. #3241C2×C89semidirect
864. #3234C2×C89semidirect
865. #3232C2×C89semidirect
866. #3222C2×C89semidirect
867. #3220C2×C89semidirect
868. #3219C2×C89semidirect
869. #3207C2×C89semidirect
870. #3204C2×C89semidirect
871. #3203C2×C89semidirect
872. #3198C2×C89semidirect
873. #3198C2×C89semidirect
874. #3179C2×C89semidirect
875. #3178C2×C89semidirect
876. #3176C2×C89semidirect
877. #3174C2×C89semidirect
878. #3125C2×C89semidirect
879. #3124C2×C89semidirect
880. #3119C2×C89semidirect
881. #3119C2×C89semidirect
882. #3114C2×C89semidirect
883. #3111C2×C89semidirect
884. #3105C2×C89semidirect
885. #3102C2×C89semidirect
886. #2925C2×C89semidirect
887. C89#60997direct (N × H)
901. #541C22×C89semidirect
906. #540C22×C89semidirect
917. #532C22×C89semidirect
923. #529C22×C89semidirect
924. #529C22×C89semidirect
925. C2×#125C22×C89semidirect
928. #520C22×C89semidirect
929. #520C22×C89semidirect
933. #501C22×C89semidirect
934. #501C22×C89semidirect
935. #499C22×C89semidirect
936. #499C22×C89semidirect
941. #491C22×C89semidirect
944. #490C22×C89semidirect
947. #487C22×C89semidirect
948. #486C22×C89semidirect
952. #484C22×C89semidirect
954. #483C22×C89semidirect
960. #481C22×C89semidirect
964. #480C22×C89semidirect
965. #479C22×C89semidirect
966. #479C22×C89semidirect
967. #479C22×C89semidirect
968. #479C22×C89semidirect
973. #478C22×C89semidirect
974. #478C22×C89semidirect
975. #478C22×C89semidirect
976. #478C22×C89semidirect
977. #477C22×C89semidirect
978. #476C22×C89semidirect
979. #475C22×C89semidirect
980. #474C22×C89semidirect
981. #470C22×C89semidirect
984. #469C22×C89semidirect
987. #468C22×C89semidirect
988. #468C22×C89semidirect
989. #467C22×C89semidirect
992. #466C22×C89semidirect
995. #465C22×C89semidirect
996. #465C22×C89semidirect
999. #464C22×C89semidirect
1000. #464C22×C89semidirect
1007. #463C22×C89semidirect
1008. #463C22×C89semidirect
1015. #452C22×C89semidirect
1016. #452C22×C89semidirect
1025. #449C22×C89semidirect
1026. #449C22×C89semidirect
1031. #442C22×C89semidirect
1032. #441C22×C89semidirect
1035. #440C22×C89semidirect
1036. #440C22×C89semidirect
1037. C4×Q16C22×C89semidirect
1040. C4×SD16C22×C89semidirect
1041. C4×SD16C22×C89semidirect
1044. C4×D8C22×C89semidirect
1047. #433C22×C89semidirect
1048. #433C22×C89semidirect
1050. #432C22×C89semidirect
1052. #431C22×C89semidirect
1053. #423C22×C89semidirect
1054. C2×C4⋊C8C22×C89semidirect
1057. #405C22×C89semidirect
1058. #405C22×C89semidirect

Maximal subgroups

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

subgroupindex
C89×#35122
C89×#34602
C89×#32562
C89×#32512
C89×#32502
C89×#32472
C89×#32422
C89×#32412
C89×#32342
C89×#32322
C89×#32222
C89×#32202
C89×#32192
C89×#32072
C89×#32042
C89×#32032
C89×#31982
C89×#31792
C89×#31782
C89×#31762
C89×#31742
C89×#31252
C89×#31242
C89×#31192
C89×#31142
C89×#31112
C89×#31052
C89×#31022
C89×#29252
#6099789