Finite Group Databasebeta

← C89×#62175 #36440023

Subgroups — C89×#62175 #36440023

Order 22784.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3565C211yesmaximal, characteristic, complemented
2C89×#3513C211yesmaximal, characteristic, complemented
3C89×#3389C211yesmaximal, characteristic, complemented
4C89×#3381C211yesmaximal, characteristic, complemented
5C89×#3371C211yesmaximal, characteristic, complemented
6C89×#3361C211yesmaximal, characteristic, complemented
7C89×#3354C211yesmaximal, characteristic, complemented
8C89×#3351C211yesmaximal, characteristic, complemented
9C89×#3351C211yesmaximal, characteristic, complemented
10C89×#3349C211yesmaximal, characteristic, complemented
11C89×#3343C211yesmaximal, characteristic, complemented
12C89×#3339C211yesmaximal, characteristic, complemented
13C89×#3324C211yesmaximal, characteristic, complemented
14C89×#3323C211yesmaximal, characteristic, complemented
15C89×#3322C211yesmaximal, characteristic, complemented
16C89×#3319C211yesmaximal, characteristic, complemented
17C89×#3318C211yesmaximal, characteristic, complemented
18C89×#3296C211yesmaximal, characteristic, complemented
19C89×#3262C211yesmaximal, characteristic, complemented
20C89×#3257C211yesmaximal, characteristic, complemented
21C89×#3256C211yesmaximal, characteristic, complemented
22C89×#3244C211yesmaximal, characteristic, complemented
23C89×#3241C211yesmaximal, characteristic, complemented
24C89×#3233C211yesmaximal, characteristic, complemented
25C89×#3125C211yesmaximal, characteristic, complemented
26C89×#3118C211yesmaximal, characteristic, complemented
27C89×#3105C211yesmaximal, characteristic, complemented
28C89×#3083C211yesmaximal, characteristic, complemented
29C89×#3081C211yesmaximal, characteristic, complemented
30C89×#3077C211yesmaximal, characteristic, complemented
31C89×#2993C211yesmaximal, characteristic, complemented
32#563×C89—21no—
33#562×C89—21no—
34#559×C89C2211yescharacteristic
35#557×C89C2211yescharacteristic, complemented
36#556×C89—21no—
37#556×C89C2211yescharacteristic
38#555×C89C2211yescharacteristic, complemented
39#554×C89C2211yescharacteristic
40#554×C89C2211yescharacteristic, complemented
41#553×C89—21no—
42#553×C89C2211yescharacteristic
43#553×C89C2211yescharacteristic
44#553×C89C2211yescharacteristic, complemented
45#552×C89—21no—
46#552×C89C2211yescharacteristic
47#552×C89C2211yescharacteristic, complemented
48#552×C89C2211yescharacteristic, complemented
49#551×C89—21no—
50#551×C89—21no—
51#547×C89C2211yescharacteristic
52#546×C89—21no—
53#546×C89C2211yescharacteristic
54#546×C89C2211yescharacteristic
55D42×C89C2211yescharacteristic
56#544×C89C2211yescharacteristic, complemented
57#544×C89C2211yescharacteristic, complemented
58#542×C89—21no—
59#542×C89—21no—
60#542×C89C2211yescharacteristic
61#542×C89C2211yescharacteristic, complemented
62#542×C89C2211yescharacteristic, complemented
63#541×C89—21no—
64#540×C89C2211yescharacteristic
65#539×C89—21no—
66#539×C89—21no—
67#538×C89—21no—
68#533×C89C2211yescharacteristic, complemented
69#529×C89C2211yescharacteristic
70#529×C89C2211yescharacteristic
71#529×C89C2211yescharacteristic, complemented
72#525×C89—21no—
73C2×#123×C89—21no—
74#520×C89C2211yescharacteristic
75#518×C89C2211yescharacteristic
76C2×C4×D4×C89C2211yescharacteristic
77#501×C89C2211yescharacteristic, complemented
78#501×C89C2211yescharacteristic, complemented
79#499×C89C2211yescharacteristic, complemented
80#499×C89C2211yescharacteristic, complemented
81#499×C89C2211yescharacteristic, complemented
82#498×C89C2211yescharacteristic, complemented
83#490×C89C2211yescharacteristic
84#489×C89C2211yescharacteristic, complemented
85#488×C89C2211yescharacteristic, complemented
86#488×C89C2211yescharacteristic, complemented
87#488×C89C2211yescharacteristic, complemented
88#486×C89C2211yescharacteristic
89#485×C89C2211yescharacteristic, complemented
90#485×C89C2211yescharacteristic, complemented
91#485×C89C2211yescharacteristic, complemented
92#485×C89C2211yescharacteristic, complemented
93#484×C89C2211yescharacteristic, complemented
94#483×C89C2211yescharacteristic, complemented
95#483×C89C2211yescharacteristic, complemented
96#482×C89C2211yescharacteristic
97#482×C89C2211yescharacteristic
98#482×C89C2211yescharacteristic
99#482×C89C2211yescharacteristic, complemented
100#482×C89C2211yescharacteristic, complemented
101#482×C89C2211yescharacteristic, complemented
102#481×C89C2211yescharacteristic
103#481×C89C2211yescharacteristic, complemented
104#481×C89C2211yescharacteristic, complemented
105#481×C89C2211yescharacteristic, complemented
106#480×C89C2211yescharacteristic, complemented
107#479×C89C2211yescharacteristic, complemented
108#479×C89C2211yescharacteristic, complemented
109#479×C89C2211yescharacteristic, complemented
110#479×C89C2211yescharacteristic, complemented
111#478×C89C2211yescharacteristic
112#478×C89C2211yescharacteristic
113#478×C89C2211yescharacteristic
114#478×C89C2211yescharacteristic
115#478×C89C2211yescharacteristic
116#478×C89C2211yescharacteristic, complemented
117#478×C89C2211yescharacteristic, complemented
118#478×C89C2211yescharacteristic, complemented
119#478×C89C2211yescharacteristic, complemented
120#478×C89C2211yescharacteristic, complemented
121#478×C89C2211yescharacteristic, complemented
122#478×C89C2211yescharacteristic, complemented
123#477×C89C2211yescharacteristic, complemented
124#477×C89C2211yescharacteristic, complemented
125#477×C89C2211yescharacteristic, complemented
126#476×C89C2211yescharacteristic
127#476×C89C2211yescharacteristic, complemented
128#476×C89C2211yescharacteristic, complemented
129#476×C89C2211yescharacteristic, complemented
130#475×C89C2211yescharacteristic, complemented
131#474×C89C2211yescharacteristic
132#474×C89C2211yescharacteristic
133#474×C89C2211yescharacteristic
134#474×C89C2211yescharacteristic, complemented
135#474×C89C2211yescharacteristic, complemented
136#474×C89C2211yescharacteristic, complemented
137#470×C89C2211yescharacteristic, complemented
138#469×C89C2211yescharacteristic
139#469×C89C2211yescharacteristic, complemented
140#468×C89C2211yescharacteristic
141#468×C89C2211yescharacteristic
142#468×C89C2211yescharacteristic, complemented
143#468×C89C2211yescharacteristic, complemented
144#468×C89C2211yescharacteristic, complemented
145#467×C89C2211yescharacteristic, complemented
146#466×C89C2211yescharacteristic
147#466×C89C2211yescharacteristic, complemented
148#465×C89C2211yescharacteristic, complemented
149#464×C89C2211yescharacteristic, complemented
150#464×C89C2211yescharacteristic, complemented
151#464×C89C2211yescharacteristic, complemented
152#463×C89C2211yescharacteristic
153#463×C89C2211yescharacteristic, complemented
154#463×C89C2211yescharacteristic, complemented
155#463×C89C2211yescharacteristic, complemented
156#463×C89C2211yescharacteristic, complemented
157#460×C89C2211yescharacteristic
158#459×C89C2211yescharacteristic
159#452×C89C2211yescharacteristic
160#450×C89C2211yescharacteristic
161#450×C89C2211yescharacteristic
162#449×C89C2211yescharacteristic
163#447×C89C2211yescharacteristic
164#447×C89C2211yescharacteristic
165#446×C89C2211yescharacteristic, complemented
166C8×Q8×C89C2211yescharacteristic, complemented
167#442×C89C2211yescharacteristic
168#442×C89C2211yescharacteristic
169#441×C89C2211yescharacteristic, complemented
170#440×C89C2211yescharacteristic, complemented
171C4×SD16×C89C2211yescharacteristic
172C4×SD16×C89C2211yescharacteristic
173C4×SD16×C89C2211yescharacteristic
174C4×SD16×C89C2211yescharacteristic, complemented
175C4×SD16×C89C2211yescharacteristic, complemented
176C4×D8×C89C2211yescharacteristic
177C4×D8×C89C2211yescharacteristic, complemented
178C4×D8×C89C2211yescharacteristic, complemented
179#436×C89C2211yescharacteristic
180#436×C89C2211yescharacteristic, complemented
181#436×C89C2211yescharacteristic, complemented
182#435×C89C2211yescharacteristic
183#435×C89C2211yescharacteristic, complemented
184C8×D4×C89C2211yescharacteristic, complemented
185#433×C89C2211yescharacteristic, complemented
186#433×C89C2211yescharacteristic, complemented
187#431×C89C2211yescharacteristic, complemented
188#428×C89C2211yescharacteristic, complemented
189#428×C89C2211yescharacteristic, complemented
190#428×C89C2211yescharacteristic, complemented
191#428×C89C2211yescharacteristic, complemented
192#427×C89C2211yescharacteristic, complemented
193C2×#107×C89C2211yescharacteristic, complemented
194#424×C89C2211yescharacteristic, complemented
195#424×C89C2211yescharacteristic, complemented
196#423×C89C2211yescharacteristic, complemented
197#418×C89C2211yescharacteristic
198#418×C89C2211yescharacteristic
199#418×C89C2211yescharacteristic
200#417×C89C2211yescharacteristic
201#416×C89C2211yescharacteristic
202C2×#102×C89C2211yescharacteristic
203C2×#41×C89—21no—
204C2×#41×C89C2311yescharacteristic
205C22×D4×C89—21no—
206C22×D4×C89C2311yescharacteristic
207C22×D4×C89C2311yescharacteristic
208C23×C4×C89—21no—
209C2×Q16×C89C2311yescharacteristic
210C2×SD16×C89C2311yescharacteristic
211C2×SD16×C89C2311yescharacteristic
212C2×SD16×C89C2311yescharacteristic
213C2×SD16×C89C2311yescharacteristic
214C2×D8×C89C2311yescharacteristic
215C2×D8×C89C2311yescharacteristic
216C2×D8×C89C2311yescharacteristic
217C2×M16×C89C2311yescharacteristic
218C2×M16×C89C2311yescharacteristic
219C2×M16×C89C2311yescharacteristic
220C2×M16×C89C2311yescharacteristic
221C22×C8×C89C2311yescharacteristic
222C22×C8×C89C2311yescharacteristic
223C4⋊Q8×C89—21no—
224C4⋊Q8×C89—21no—
225C4⋊Q8×C89—21no—
226C4⋊Q8×C89C2311yescharacteristic
227C4⋊Q8×C89C2311yescharacteristic
228C4⋊Q8×C89C2311yescharacteristic
229C4⋊Q8×C89C2311yescharacteristic
230C4⋊Q8×C89C2311yescharacteristic
231#127×C89C2311yescharacteristic
232#126×C89—21no—
233#126×C89—21no—
234#126×C89—21no—
235#126×C89—21no—
236#126×C89—21no—
237#126×C89—21no—
238#126×C89—21no—
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×C89D411yescharacteristic
246#126×C89D411yescharacteristic
247#125×C89—21no—
248#125×C89—21no—
249#125×C89—21no—
250#125×C89—21no—
251#125×C89—21no—
252#125×C89—21no—
253#125×C89—21no—
254#125×C89D411yescharacteristic
255#125×C89C2311yescharacteristic
256#125×C89C2311yescharacteristic
257#125×C89C2311yescharacteristic
258#125×C89C2311yescharacteristic
259#125×C89C2311yescharacteristic
260#125×C89C2311yescharacteristic
261#125×C89C2311yescharacteristic
262#124×C89—21no—
263#124×C89—21no—
264#124×C89—21no—
265#124×C89—21no—
266#124×C89—21no—
267#124×C89—21no—
268#124×C89—21no—
269#124×C89D411yescharacteristic
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—
289#123×C89—21no—
290#123×C89—21no—
291#123×C89—21no—
292#123×C89D411yescharacteristic
293#123×C89D411yescharacteristic
294C22⋊Q8×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×C89—21no—
310C22⋊Q8×C89D411yescharacteristic
311C22⋊Q8×C89C2311yescharacteristic
312C22⋊Q8×C89C2311yescharacteristic
313C22⋊Q8×C89C2311yescharacteristic
314C22⋊Q8×C89C2311yescharacteristic
315C22⋊Q8×C89C2311yescharacteristic
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×C89D411yescharacteristic
326#121×C89C2311yescharacteristic
327#121×C89C2311yescharacteristic
328#121×C89C2311yescharacteristic
329#121×C89C2311yescharacteristic
330#121×C89C2311yescharacteristic
331#121×C89C2311yescharacteristic
332#121×C89C2311yescharacteristic
333#120×C89—21no—
334#120×C89—21no—
335#120×C89—21no—
336#120×C89—21no—
337C4×Q8×C89—21no—
338C4×Q8×C89—21no—
339C4×Q8×C89—21no—
340C4×Q8×C89—21no—
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×C89C2311yescharacteristic
360C4×D4×C89C2311yescharacteristic
361C4×D4×C89C2311yescharacteristic
362C4×D4×C89C2311yescharacteristic
363C4×D4×C89C2311yescharacteristic
364C4×D4×C89C2311yescharacteristic
365C4×D4×C89C2311yescharacteristic
366C4×D4×C89C2311yescharacteristic
367C4×D4×C89C2311yescharacteristic
368C4×D4×C89C2311yescharacteristic
369C4×D4×C89C2311yescharacteristic
370C4×D4×C89C2311yescharacteristic
371C4×D4×C89C2311yescharacteristic
372C4×D4×C89C2311yescharacteristic
373#117×C89—21no—
374#117×C89—21no—
375#117×C89—21no—
376#117×C89—21no—
377#117×C89—21no—
378#117×C89—21no—
379#117×C89—21no—
380#117×C89C2311yescharacteristic
381#117×C89C2311yescharacteristic
382#117×C89C2311yescharacteristic
383#117×C89C2311yescharacteristic
384#117×C89C2311yescharacteristic
385#117×C89C2311yescharacteristic
386#117×C89C2311yescharacteristic
387C2×C4⋊C4×C89—21no—
388C2×C4⋊C4×C89—21no—
389C2×C4⋊C4×C89—21no—
390C2×C4⋊C4×C89C2311yescharacteristic
391C2×C4⋊C4×C89C2311yescharacteristic
392C2×C4⋊C4×C89C2311yescharacteristic
393C2×C4⋊C4×C89C2311yescharacteristic
394C2×C22⋊C4×C89—21no—
395C2×C22⋊C4×C89—21no—
396C2×C22⋊C4×C89—21no—
397C2×C22⋊C4×C89—21no—
398C2×C22⋊C4×C89—21no—
399C2×C42×C89C2311yescharacteristic
400#107×C89C2311yescharacteristic
401#107×C89C2311yescharacteristic
402#107×C89C2311yescharacteristic
403#107×C89C2311yescharacteristic
404#107×C89C2311yescharacteristic
405#107×C89C2311yescharacteristic
406#107×C89C2311yescharacteristic
407#107×C89C2311yescharacteristic
408#107×C89C2311yescharacteristic
409#107×C89C2311yescharacteristic
410#107×C89C2311yescharacteristic
411#107×C89C2311yescharacteristic
412#106×C89C2311yescharacteristic
413#106×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
422#106×C89C2311yescharacteristic
423#106×C89C2311yescharacteristic
424C4⋊C8×C89C2311yescharacteristic
425C4⋊C8×C89C2311yescharacteristic
426C4⋊C8×C89C2311yescharacteristic
427C4⋊C8×C89C2311yescharacteristic
428C4⋊C8×C89C2311yescharacteristic
429C4⋊C8×C89C2311yescharacteristic
430C4⋊C8×C89C2311yescharacteristic
431C4⋊C8×C89C2311yescharacteristic
432C4⋊C8×C89C2311yescharacteristic
433C4⋊C8×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#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
462#102×C89C2311yescharacteristic
463#102×C89C2311yescharacteristic
464#102×C89C2311yescharacteristic
465#102×C89C2311yescharacteristic
466C22⋊C8×C89C2311yescharacteristic
467C22⋊C8×C89C2311yescharacteristic
468C22⋊C8×C89C2311yescharacteristic
469C22⋊C8×C89C2311yescharacteristic
470C22⋊C8×C89C2311yescharacteristic
471C22⋊C8×C89C2311yescharacteristic
472#97×C89C2311yescharacteristic
473#97×C89C2311yescharacteristic
474C4×C8×C89C2311yescharacteristic
475C4×C8×C89C2311yescharacteristic
476C4×C8×C89C2311yescharacteristic
477C4×C8×C89C2311yescharacteristic
478C24×C89—21no—
479C24×C89—21no—
480#41×C89—22no—
481#41×C89—41no—
482#41×C89—82no—
483C2×Q8×C89—21no—
484C2×Q8×C89—21no—
485C2×Q8×C89—21no—
486C2×Q8×C89—21no—
487C2×Q8×C89—21no—
488C2×Q8×C89C2×D411yescharacteristic
489C2×Q8×C89C2411yescharacteristic
490C2×Q8×C89C2411yescharacteristic
491C2×D4×C89—22no—
492C2×D4×C89—22no—
493C2×D4×C89—21no—
494C2×D4×C89—21no—
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—41no—
506C2×D4×C89—41no—
507C2×D4×C89—82no—
508C2×D4×C89C2×D411yescharacteristic
509C2×D4×C89C2×D411yescharacteristic
510C2×D4×C89C2×D411yescharacteristic
511C2×D4×C89C2411yescharacteristic
512C2×D4×C89C2411yescharacteristic
513C2×D4×C89C2411yescharacteristic
514C2×D4×C89C2411yescharacteristic
515C22×C4×C89—21no—
516C22×C4×C89—21no—
517C22×C4×C89—21no—
518C22×C4×C89—21no—
519C22×C4×C89—21no—
520C22×C4×C89—21no—
521C22×C4×C89—21no—
522C22×C4×C89—21no—
523C22×C4×C89—21no—
524C22×C4×C89—21no—
525C22×C4×C89—21no—
526C22×C4×C89—21no—
527C22×C4×C89—21no—
528C22×C4×C89—21no—
529C22×C4×C89—21no—
530C22×C4×C89—21no—
531C22×C4×C89—82no—
532C22×C4×C89C2×D411yescharacteristic
533C22×C4×C89C2×D411yescharacteristic
534C22×C4×C89C2411yescharacteristic
535C22×C4×C89C2411yescharacteristic
536C22×C4×C89C2411yescharacteristic
537Q16×C89—41no—
538SD16×C89—22no—
539SD16×C89—41no—
540SD16×C89—41no—
541SD16×C89—41no—
542D8×C89—22no—
543D8×C89—41no—
544D8×C89—41no—
545M16×C89—41no—
546M16×C89—41no—
547M16×C89—41no—
548M16×C89—41no—
549C2×C8×C89—41no—
550C2×C8×C89—41no—
551C2×C8×C89C2411yescharacteristic
552C2×C8×C89C2411yescharacteristic
553C2×C8×C89C2411yescharacteristic
554C2×C8×C89C2411yescharacteristic
555C2×C8×C89C2411yescharacteristic
556C2×C8×C89C2411yescharacteristic
557C2×C8×C89C2411yescharacteristic
558C2×C8×C89C2411yescharacteristic
559C4⋊C4×C89—21no—
560C4⋊C4×C89—21no—
561C4⋊C4×C89—21no—
562C4⋊C4×C89—21no—
563C4⋊C4×C89—21no—
564C4⋊C4×C89—21no—
565C4⋊C4×C89—21no—
566C4⋊C4×C89—21no—
567C4⋊C4×C89—21no—
568C4⋊C4×C89—21no—
569C4⋊C4×C89—21no—
570C4⋊C4×C89—21no—
571C4⋊C4×C89—21no—
572C4⋊C4×C89—21no—
573C4⋊C4×C89—21no—
574C4⋊C4×C89—21no—
575C4⋊C4×C89—21no—
576C4⋊C4×C89—21no—
577C4⋊C4×C89—21no—
578C4⋊C4×C89—21no—
579C4⋊C4×C89—21no—
580C4⋊C4×C89—21no—
581C4⋊C4×C89—21no—
582C4⋊C4×C89—21no—
583C4⋊C4×C89—21no—
584C4⋊C4×C89—21no—
585C4⋊C4×C89—21no—
586C4⋊C4×C89—21no—
587C4⋊C4×C89—21no—
588C4⋊C4×C89—21no—
589C4⋊C4×C89—21no—
590C4⋊C4×C89—21no—
591C4⋊C4×C89—21no—
592C4⋊C4×C89C2×D411yescharacteristic
593C4⋊C4×C89C2×D411yescharacteristic
594C4⋊C4×C89C2×D411yescharacteristic
595C4⋊C4×C89C2×D411yescharacteristic
596C4⋊C4×C89C2×D411yescharacteristic
597C4⋊C4×C89C2×D411yescharacteristic
598C4⋊C4×C89C2×D411yescharacteristic
599C4⋊C4×C89C2×D411yescharacteristic
600C4⋊C4×C89C2×D411yescharacteristic
601C4⋊C4×C89C2×D411yescharacteristic
602C4⋊C4×C89C2411yescharacteristic
603C4⋊C4×C89C2411yescharacteristic
604C4⋊C4×C89C2411yescharacteristic
605C4⋊C4×C89C2411yescharacteristic
606C4⋊C4×C89C2411yescharacteristic
607C4⋊C4×C89C2411yescharacteristic
608C4⋊C4×C89C2411yescharacteristic
609C4⋊C4×C89C2411yescharacteristic
610C4⋊C4×C89C2411yescharacteristic
611C4⋊C4×C89C2411yescharacteristic
612C22⋊C4×C89—21no—
613C22⋊C4×C89—21no—
614C22⋊C4×C89—21no—
615C22⋊C4×C89—21no—
616C22⋊C4×C89—21no—
617C22⋊C4×C89—21no—
618C22⋊C4×C89—21no—
619C22⋊C4×C89—21no—
620C22⋊C4×C89—21no—
621C22⋊C4×C89—21no—
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×C89C2×D411yescharacteristic
647C22⋊C4×C89C2×D411yescharacteristic
648C22⋊C4×C89C2×D411yescharacteristic
649C22⋊C4×C89C2×D411yescharacteristic
650C22⋊C4×C89C2×D411yescharacteristic
651C22⋊C4×C89C2×D411yescharacteristic
652C22⋊C4×C89C2×D411yescharacteristic
653C22⋊C4×C89C2×D411yescharacteristic
654C22⋊C4×C89C2×D411yescharacteristic
655C22⋊C4×C89C2×D411yescharacteristic
656C42×C89—21no—
657C42×C89—21no—
658C42×C89—21no—
659C42×C89—21no—
660C42×C89—21no—
661C42×C89—21no—
662C42×C89—21no—
663C42×C89—21no—
664C42×C89—21no—
665C42×C89—21no—
666C42×C89C2×D411yescharacteristic
667C42×C89C2×D411yescharacteristic
668C42×C89C2411yescharacteristic
669C42×C89C2411yescharacteristic
670C42×C89C2411yescharacteristic
671C42×C89C2411yescharacteristic
672C23×C89—21no—
673C23×C89—21no—
674C23×C89—21no—
675C23×C89—21no—
676C23×C89—42no—
677C23×C89—42no—
678C23×C89—42no—
679C23×C89—81no—
680C23×C89—81no—
681C23×C89—81no—
682C23×C89C22×D411yescharacteristic
683C23×C89C22×D411yescharacteristic
684C23×C89C22×D411yescharacteristic
685Q8×C89—21no—
686Q8×C89—21no—
687Q8×C89—21no—
688Q8×C89—21no—
689Q8×C89—41no—
690Q8×C89—81no—
691Q8×C89—81no—
692Q8×C89—81no—
693Q8×C89—81no—
694Q8×C89—81no—
695D4×C89—21no—
696D4×C89—21no—
697D4×C89—21no—
698D4×C89—21no—
699D4×C89—21no—
700D4×C89—21no—
701D4×C89—21no—
702D4×C89—41no—
703D4×C89—41no—
704D4×C89—41no—
705D4×C89—42no—
706D4×C89—42no—
707D4×C89—42no—
708D4×C89—42no—
709D4×C89—81no—
710D4×C89—81no—
711D4×C89—81no—
712D4×C89—81no—
713D4×C89—81no—
714D4×C89—81no—
715D4×C89—81no—
716D4×C89—81no—
717D4×C892−1+412yes—
718C2×C4×C89—21no—
719C2×C4×C89—21no—
720C2×C4×C89—21no—
721C2×C4×C89—21no—
722C2×C4×C89—21no—
723C2×C4×C89—21no—
724C2×C4×C89—21no—
725C2×C4×C89—21no—
726C2×C4×C89—21no—
727C2×C4×C89—21no—
728C2×C4×C89—21no—
729C2×C4×C89—21no—
730C2×C4×C89—21no—
731C2×C4×C89—21no—
732C2×C4×C89—21no—
733C2×C4×C89—21no—
734C2×C4×C89—21no—
735C2×C4×C89—21no—
736C2×C4×C89—41no—
737C2×C4×C89—41no—
738C2×C4×C89—42no—
739C2×C4×C89—42no—
740C2×C4×C89—81no—
741C2×C4×C89—81no—
742C2×C4×C89—81no—
743C2×C4×C89—81no—
744C2×C4×C89—81no—
745C2×C4×C89—81no—
746C2×C4×C89—81no—
747C2×C4×C89—81no—
748C2×C4×C89—81no—
749C2×C4×C89—81no—
750C2×C4×C89—81no—
751C2×C4×C89—81no—
752C2×C4×C89—81no—
753C2×C4×C89—81no—
754C2×C4×C89C22×D411yescharacteristic
755C2×C4×C89C22×D411yescharacteristic
756C2×C4×C89C22×D411yescharacteristic
757C2×C4×C89C22×D411yescharacteristic
758C2×C4×C89C22×D411yescharacteristic
759C2×C4×C89C22×D411yescharacteristic
760C2×C4×C89C22×D411yescharacteristic
761C2×C4×C89C22×D411yescharacteristic
762C2×C4×C89C22×D411yescharacteristic
763C2×C4×C89C22×D411yescharacteristic
764C2×C4×C89C22×D411yescharacteristic
765C2×C4×C89C2511yescharacteristic
766C8×C89—21no—
767C8×C89—21no—
768C8×C89—21no—
769C8×C89—21no—
770C8×C89—21no—
771C8×C89—21no—
772C8×C89—21no—
773C8×C89—21no—
774C22×C89—21no—
775C22×C89—21no—
776C22×C89—21no—
777C22×C89—21no—
778C22×C89—21no—
779C22×C89—21no—
780C22×C89—21no—
781C22×C89—21no—
782C22×C89—21no—
783C22×C89—22no—
784C22×C89—41no—
785C22×C89—41no—
786C22×C89—41no—
787C22×C89—41no—
788C22×C89—41no—
789C22×C89—41no—
790C22×C89—41no—
791C22×C89—41no—
792C22×C89—41no—
793C22×C89—41no—
794C22×C89—41no—
795C22×C89—84no—
796C22×C89—162no—
797C22×C89C23×D411yescharacteristic
798C4×C89—21no—
799C4×C89—21no—
800C4×C89—21no—
801C4×C89—21no—
802C4×C89—21no—
803C4×C89—21no—
804C4×C89—21no—
805C4×C89—21no—
806C4×C89—21no—
807C4×C89—21no—
808C4×C89—21no—
809C4×C89—41no—
810C4×C89—41no—
811C4×C89—41no—
812C4×C89—41no—
813C4×C89—41no—
814C4×C89—41no—
815C4×C89—41no—
816C4×C89—41no—
817C4×C89—41no—
818C4×C89—41no—
819C4×C89—41no—
820C4×C89—41no—
821C4×C89C2×2−1+411yescharacteristic
822C4×C89#58511yescharacteristic
823#62175C8911yesmaximal, characteristic, direct product factor, Sylow
824C2×C89—41no—
825C2×C89—41no—
826C2×C89—41no—
827C2×C89—42no—
828C2×C89—81no—
829C2×C89—81no—
830C2×C89—81no—
831C2×C89#348911yescharacteristic
832C2×C89#358411yescharacteristic
833C2×C89#358511yescharacteristic
834#3565C2×C8911yescharacteristic, complemented
835#3513C2×C8911yescharacteristic, complemented
836#3389C2×C8911yescharacteristic, complemented
837#3381C2×C8911yescharacteristic, complemented
838#3371C2×C8911yescharacteristic, complemented
839#3361C2×C8911yescharacteristic, complemented
840#3354C2×C8911yescharacteristic, complemented
841#3351C2×C8911yescharacteristic, complemented
842#3351C2×C8911yescharacteristic, complemented
843#3349C2×C8911yescharacteristic, complemented
844#3343C2×C8911yescharacteristic, complemented
845#3339C2×C8911yescharacteristic, complemented
846#3324C2×C8911yescharacteristic, complemented
847#3323C2×C8911yescharacteristic, complemented
848#3322C2×C8911yescharacteristic, complemented
849#3319C2×C8911yescharacteristic, complemented
850#3318C2×C8911yescharacteristic, complemented
851#3296C2×C8911yescharacteristic, complemented
852#3262C2×C8911yescharacteristic, complemented
853#3257C2×C8911yescharacteristic, complemented
854#3256C2×C8911yescharacteristic, complemented
855#3244C2×C8911yescharacteristic, complemented
856#3241C2×C8911yescharacteristic, complemented
857#3233C2×C8911yescharacteristic, complemented
858#3125C2×C8911yescharacteristic, complemented
859#3118C2×C8911yescharacteristic, complemented
860#3105C2×C8911yescharacteristic, complemented
861#3083C2×C8911yescharacteristic, complemented
862#3081C2×C8911yescharacteristic, complemented
863#3077C2×C8911yescharacteristic, complemented
864#2993C2×C8911yescharacteristic, complemented
865C89#6217511yescharacteristic, direct product factor, Sylow
866#563—21no—
867#562—21no—
868#559C22×C8911yescharacteristic
869#557C22×C8911yescharacteristic, complemented
870#556—21no—
871#556C22×C8911yescharacteristic
872#555C22×C8911yescharacteristic, complemented
873#554C22×C8911yescharacteristic
874#554C22×C8911yescharacteristic, complemented
875#553—21no—
876#553C22×C8911yescharacteristic
877#553C22×C8911yescharacteristic
878#553C22×C8911yescharacteristic, complemented
879#552—21no—
880#552C22×C8911yescharacteristic
881#552C22×C8911yescharacteristic, complemented
882#552C22×C8911yescharacteristic, complemented
883#551—21no—
884#551—21no—
885#547C22×C8911yescharacteristic
886#546—21no—
887#546C22×C8911yescharacteristic
888#546C22×C8911yescharacteristic
889D42C22×C8911yescharacteristic
890#544C22×C8911yescharacteristic, complemented
891#544C22×C8911yescharacteristic, complemented
892#542—21no—
893#542—21no—
894#542C22×C8911yescharacteristic
895#542C22×C8911yescharacteristic, complemented
896#542C22×C8911yescharacteristic, complemented
897#541—21no—
898#540C22×C8911yescharacteristic
899#539—21no—
900#539—21no—
901#538—21no—
902#533C22×C8911yescharacteristic, complemented
903#529C22×C8911yescharacteristic
904#529C22×C8911yescharacteristic
905#529C22×C8911yescharacteristic, complemented
906#525—21no—
907C2×#123—21no—
908#520C22×C8911yescharacteristic
909#518C22×C8911yescharacteristic
910C2×C4×D4C22×C8911yescharacteristic
911#501C22×C8911yescharacteristic, complemented
912#501C22×C8911yescharacteristic, complemented
913#499C22×C8911yescharacteristic, complemented
914#499C22×C8911yescharacteristic, complemented
915#499C22×C8911yescharacteristic, complemented
916#498C22×C8911yescharacteristic, complemented
917#490C22×C8911yescharacteristic
918#489C22×C8911yescharacteristic, complemented
919#488C22×C8911yescharacteristic, complemented
920#488C22×C8911yescharacteristic, complemented
921#488C22×C8911yescharacteristic, complemented
922#486C22×C8911yescharacteristic
923#485C22×C8911yescharacteristic, complemented
924#485C22×C8911yescharacteristic, complemented
925#485C22×C8911yescharacteristic, complemented
926#485C22×C8911yescharacteristic, complemented
927#484C22×C8911yescharacteristic, complemented
928#483C22×C8911yescharacteristic, complemented
929#483C22×C8911yescharacteristic, complemented
930#482C22×C8911yescharacteristic
931#482C22×C8911yescharacteristic
932#482C22×C8911yescharacteristic
933#482C22×C8911yescharacteristic, complemented
934#482C22×C8911yescharacteristic, complemented
935#482C22×C8911yescharacteristic, complemented
936#481C22×C8911yescharacteristic
937#481C22×C8911yescharacteristic, complemented
938#481C22×C8911yescharacteristic, complemented
939#481C22×C8911yescharacteristic, complemented
940#480C22×C8911yescharacteristic, complemented
941#479C22×C8911yescharacteristic, complemented
942#479C22×C8911yescharacteristic, complemented
943#479C22×C8911yescharacteristic, complemented
944#479C22×C8911yescharacteristic, complemented
945#478C22×C8911yescharacteristic
946#478C22×C8911yescharacteristic
947#478C22×C8911yescharacteristic
948#478C22×C8911yescharacteristic
949#478C22×C8911yescharacteristic
950#478C22×C8911yescharacteristic, complemented
951#478C22×C8911yescharacteristic, complemented
952#478C22×C8911yescharacteristic, complemented
953#478C22×C8911yescharacteristic, complemented
954#478C22×C8911yescharacteristic, complemented
955#478C22×C8911yescharacteristic, complemented
956#478C22×C8911yescharacteristic, complemented
957#477C22×C8911yescharacteristic, complemented
958#477C22×C8911yescharacteristic, complemented
959#477C22×C8911yescharacteristic, complemented
960#476C22×C8911yescharacteristic
961#476C22×C8911yescharacteristic, complemented
962#476C22×C8911yescharacteristic, complemented
963#476C22×C8911yescharacteristic, complemented
964#475C22×C8911yescharacteristic, complemented
965#474C22×C8911yescharacteristic
966#474C22×C8911yescharacteristic
967#474C22×C8911yescharacteristic
968#474C22×C8911yescharacteristic, complemented
969#474C22×C8911yescharacteristic, complemented
970#474C22×C8911yescharacteristic, complemented
971#470C22×C8911yescharacteristic, complemented
972#469C22×C8911yescharacteristic
973#469C22×C8911yescharacteristic, complemented
974#468C22×C8911yescharacteristic
975#468C22×C8911yescharacteristic
976#468C22×C8911yescharacteristic, complemented
977#468C22×C8911yescharacteristic, complemented
978#468C22×C8911yescharacteristic, complemented
979#467C22×C8911yescharacteristic, complemented
980#466C22×C8911yescharacteristic
981#466C22×C8911yescharacteristic, complemented
982#465C22×C8911yescharacteristic, complemented
983#464C22×C8911yescharacteristic, complemented
984#464C22×C8911yescharacteristic, complemented
985#464C22×C8911yescharacteristic, complemented
986#463C22×C8911yescharacteristic
987#463C22×C8911yescharacteristic, complemented
988#463C22×C8911yescharacteristic, complemented
989#463C22×C8911yescharacteristic, complemented
990#463C22×C8911yescharacteristic, complemented
991#460C22×C8911yescharacteristic
992#459C22×C8911yescharacteristic
993#452C22×C8911yescharacteristic
994#450C22×C8911yescharacteristic
995#450C22×C8911yescharacteristic
996#449C22×C8911yescharacteristic
997#447C22×C8911yescharacteristic
998#447C22×C8911yescharacteristic
999#446C22×C8911yescharacteristic, complemented
1000C8×Q8C22×C8911yescharacteristic, complemented
1001#442C22×C8911yescharacteristic
1002#442C22×C8911yescharacteristic
1003#441C22×C8911yescharacteristic, complemented
1004#440C22×C8911yescharacteristic, complemented
1005C4×SD16C22×C8911yescharacteristic
1006C4×SD16C22×C8911yescharacteristic
1007C4×SD16C22×C8911yescharacteristic
1008C4×SD16C22×C8911yescharacteristic, complemented
1009C4×SD16C22×C8911yescharacteristic, complemented
1010C4×D8C22×C8911yescharacteristic
1011C4×D8C22×C8911yescharacteristic, complemented
1012C4×D8C22×C8911yescharacteristic, complemented
1013#436C22×C8911yescharacteristic
1014#436C22×C8911yescharacteristic, complemented
1015#436C22×C8911yescharacteristic, complemented
1016#435C22×C8911yescharacteristic
1017#435C22×C8911yescharacteristic, complemented
1018C8×D4C22×C8911yescharacteristic, complemented
1019#433C22×C8911yescharacteristic, complemented
1020#433C22×C8911yescharacteristic, complemented
1021#431C22×C8911yescharacteristic, complemented
1022#428C22×C8911yescharacteristic, complemented
1023#428C22×C8911yescharacteristic, complemented
1024#428C22×C8911yescharacteristic, complemented
1025#428C22×C8911yescharacteristic, complemented
1026#427C22×C8911yescharacteristic, complemented
1027C2×#107C22×C8911yescharacteristic, complemented
1028#424C22×C8911yescharacteristic, complemented
1029#424C22×C8911yescharacteristic, complemented
1030#423C22×C8911yescharacteristic, complemented
1031#418C22×C8911yescharacteristic
1032#418C22×C8911yescharacteristic
1033#418C22×C8911yescharacteristic
1034#417C22×C8911yescharacteristic
1035#416C22×C8911yescharacteristic
1036C2×#102C22×C8911yescharacteristic
1037C2×#41—21no—
1038C2×#41C23×C8911yescharacteristic
1039C22×D4—21no—
1040C22×D4C23×C8911yescharacteristic
1041C22×D4C23×C8911yescharacteristic
1042C23×C4—21no—
1043C2×Q16C23×C8911yescharacteristic
1044C2×SD16C23×C8911yescharacteristic
1045C2×SD16C23×C8911yescharacteristic
1046C2×SD16C23×C8911yescharacteristic
1047C2×SD16C23×C8911yescharacteristic
1048C2×D8C23×C8911yescharacteristic
1049C2×D8C23×C8911yescharacteristic
1050C2×D8C23×C8911yescharacteristic
1051C2×M16C23×C8911yescharacteristic
1052C2×M16C23×C8911yescharacteristic
1053C2×M16C23×C8911yescharacteristic
1054C2×M16C23×C8911yescharacteristic
1055C22×C8C23×C8911yescharacteristic
1056C22×C8C23×C8911yescharacteristic
1057C4⋊Q8—21no—
1058C4⋊Q8—21no—
1059C4⋊Q8—21no—
1060C4⋊Q8C23×C8911yescharacteristic
1061C4⋊Q8C23×C8911yescharacteristic
1062C4⋊Q8C23×C8911yescharacteristic
1063C4⋊Q8C23×C8911yescharacteristic
1064C4⋊Q8C23×C8911yescharacteristic
1065#127C23×C8911yescharacteristic
1066#126—21no—
1067#126—21no—
1068#126—21no—
1069#126—21no—
1070#126—21no—
1071#126—21no—
1072#126—21no—
1073#126—21no—
1074#126—21no—
1075#126—21no—
1076#126—21no—
1077#126—21no—
1078#126—21no—
1079#126D4×C8911yescharacteristic
1080#126D4×C8911yescharacteristic
1081#125—21no—
1082#125—21no—
1083#125—21no—
1084#125—21no—
1085#125—21no—
1086#125—21no—
1087#125—21no—
1088#125D4×C8911yescharacteristic
1089#125C23×C8911yescharacteristic
1090#125C23×C8911yescharacteristic
1091#125C23×C8911yescharacteristic
1092#125C23×C8911yescharacteristic
1093#125C23×C8911yescharacteristic
1094#125C23×C8911yescharacteristic
1095#125C23×C8911yescharacteristic
1096#124—21no—
1097#124—21no—
1098#124—21no—
1099#124—21no—
1100#124—21no—
1101#124—21no—
1102#124—21no—
1103#124D4×C8911yescharacteristic
1104#124C23×C8911yescharacteristic
1105#124C23×C8911yescharacteristic
1106#124C23×C8911yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—21no—
1110#123—21no—
1111#123—21no—
1112#123—21no—
1113#123—21no—
1114#123—21no—
1115#123—21no—
1116#123—21no—
1117#123—21no—
1118#123—21no—
1119#123—21no—
1120#123—21no—
1121#123—21no—
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—21no—
1126#123D4×C8911yescharacteristic
1127#123D4×C8911yescharacteristic
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—21no—
1132C22⋊Q8—21no—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8D4×C8911yescharacteristic
1145C22⋊Q8C23×C8911yescharacteristic
1146C22⋊Q8C23×C8911yescharacteristic
1147C22⋊Q8C23×C8911yescharacteristic
1148C22⋊Q8C23×C8911yescharacteristic
1149C22⋊Q8C23×C8911yescharacteristic
1150#121—21no—
1151#121—21no—
1152#121—21no—
1153#121—21no—
1154#121—21no—
1155#121—21no—
1156#121—21no—
1157#121—21no—
1158#121—21no—
1159#121D4×C8911yescharacteristic
1160#121C23×C8911yescharacteristic
1161#121C23×C8911yescharacteristic
1162#121C23×C8911yescharacteristic
1163#121C23×C8911yescharacteristic
1164#121C23×C8911yescharacteristic
1165#121C23×C8911yescharacteristic
1166#121C23×C8911yescharacteristic
1167#120—21no—
1168#120—21no—
1169#120—21no—
1170#120—21no—
1171C4×Q8—21no—
1172C4×Q8—21no—
1173C4×Q8—21no—
1174C4×Q8—21no—
1175C4×Q8C23×C8911yescharacteristic
1176C4×Q8C23×C8911yescharacteristic
1177C4×Q8C23×C8911yescharacteristic
1178C4×Q8C23×C8911yescharacteristic
1179C4×Q8C23×C8911yescharacteristic
1180C4×Q8C23×C8911yescharacteristic
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—21no—
1184C4×D4—21no—
1185C4×D4—21no—
1186C4×D4—21no—
1187C4×D4—21no—
1188C4×D4—21no—
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4C23×C8911yescharacteristic
1194C4×D4C23×C8911yescharacteristic
1195C4×D4C23×C8911yescharacteristic
1196C4×D4C23×C8911yescharacteristic
1197C4×D4C23×C8911yescharacteristic
1198C4×D4C23×C8911yescharacteristic
1199C4×D4C23×C8911yescharacteristic
1200C4×D4C23×C8911yescharacteristic
1201C4×D4C23×C8911yescharacteristic
1202C4×D4C23×C8911yescharacteristic
1203C4×D4C23×C8911yescharacteristic
1204C4×D4C23×C8911yescharacteristic
1205C4×D4C23×C8911yescharacteristic
1206C4×D4C23×C8911yescharacteristic
1207#117—21no—
1208#117—21no—
1209#117—21no—
1210#117—21no—
1211#117—21no—
1212#117—21no—
1213#117—21no—
1214#117C23×C8911yescharacteristic
1215#117C23×C8911yescharacteristic
1216#117C23×C8911yescharacteristic
1217#117C23×C8911yescharacteristic
1218#117C23×C8911yescharacteristic
1219#117C23×C8911yescharacteristic
1220#117C23×C8911yescharacteristic
1221C2×C4⋊C4—21no—
1222C2×C4⋊C4—21no—
1223C2×C4⋊C4—21no—
1224C2×C4⋊C4C23×C8911yescharacteristic
1225C2×C4⋊C4C23×C8911yescharacteristic
1226C2×C4⋊C4C23×C8911yescharacteristic
1227C2×C4⋊C4C23×C8911yescharacteristic
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—21no—
1230C2×C22⋊C4—21no—
1231C2×C22⋊C4—21no—
1232C2×C22⋊C4—21no—
1233C2×C42C23×C8911yescharacteristic
1234#107C23×C8911yescharacteristic
1235#107C23×C8911yescharacteristic
1236#107C23×C8911yescharacteristic
1237#107C23×C8911yescharacteristic
1238#107C23×C8911yescharacteristic
1239#107C23×C8911yescharacteristic
1240#107C23×C8911yescharacteristic
1241#107C23×C8911yescharacteristic
1242#107C23×C8911yescharacteristic
1243#107C23×C8911yescharacteristic
1244#107C23×C8911yescharacteristic
1245#107C23×C8911yescharacteristic
1246#106C23×C8911yescharacteristic
1247#106C23×C8911yescharacteristic
1248#106C23×C8911yescharacteristic
1249#106C23×C8911yescharacteristic
1250#106C23×C8911yescharacteristic
1251#106C23×C8911yescharacteristic
1252#106C23×C8911yescharacteristic
1253#106C23×C8911yescharacteristic
1254#106C23×C8911yescharacteristic
1255#106C23×C8911yescharacteristic
1256#106C23×C8911yescharacteristic
1257#106C23×C8911yescharacteristic
1258C4⋊C8C23×C8911yescharacteristic
1259C4⋊C8C23×C8911yescharacteristic
1260C4⋊C8C23×C8911yescharacteristic
1261C4⋊C8C23×C8911yescharacteristic
1262C4⋊C8C23×C8911yescharacteristic
1263C4⋊C8C23×C8911yescharacteristic
1264C4⋊C8C23×C8911yescharacteristic
1265C4⋊C8C23×C8911yescharacteristic
1266C4⋊C8C23×C8911yescharacteristic
1267C4⋊C8C23×C8911yescharacteristic
1268#103C23×C8911yescharacteristic
1269#103C23×C8911yescharacteristic
1270#103C23×C8911yescharacteristic
1271#103C23×C8911yescharacteristic
1272#103C23×C8911yescharacteristic
1273#103C23×C8911yescharacteristic
1274#103C23×C8911yescharacteristic
1275#103C23×C8911yescharacteristic
1276#103C23×C8911yescharacteristic
1277#103C23×C8911yescharacteristic
1278#102C23×C8911yescharacteristic
1279#102C23×C8911yescharacteristic
1280#102C23×C8911yescharacteristic
1281#102C23×C8911yescharacteristic
1282#102C23×C8911yescharacteristic
1283#102C23×C8911yescharacteristic
1284#102C23×C8911yescharacteristic
1285#102C23×C8911yescharacteristic
1286#102C23×C8911yescharacteristic
1287#102C23×C8911yescharacteristic
1288#102C23×C8911yescharacteristic
1289#102C23×C8911yescharacteristic
1290#102C23×C8911yescharacteristic
1291#102C23×C8911yescharacteristic
1292#102C23×C8911yescharacteristic
1293#102C23×C8911yescharacteristic
1294#102C23×C8911yescharacteristic
1295#102C23×C8911yescharacteristic
1296#102C23×C8911yescharacteristic
1297#102C23×C8911yescharacteristic
1298#102C23×C8911yescharacteristic
1299#102C23×C8911yescharacteristic
1300C22⋊C8C23×C8911yescharacteristic
1301C22⋊C8C23×C8911yescharacteristic
1302C22⋊C8C23×C8911yescharacteristic
1303C22⋊C8C23×C8911yescharacteristic
1304C22⋊C8C23×C8911yescharacteristic
1305C22⋊C8C23×C8911yescharacteristic
1306#97C23×C8911yescharacteristic
1307#97C23×C8911yescharacteristic
1308C4×C8C23×C8911yescharacteristic
1309C4×C8C23×C8911yescharacteristic
1310C4×C8C23×C8911yescharacteristic
1311C4×C8C23×C8911yescharacteristic
1312C24—21no—
1313C24—21no—
1314#41—22no—
1315#41—41no—
1316#41—82no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—21no—
1320C2×Q8—21no—
1321C2×Q8—21no—
1322C2×Q8C2×D4×C8911yescharacteristic
1323C2×Q8C24×C8911yescharacteristic
1324C2×Q8C24×C8911yescharacteristic
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—82no—
1342C2×D4C2×D4×C8911yescharacteristic
1343C2×D4C2×D4×C8911yescharacteristic
1344C2×D4C2×D4×C8911yescharacteristic
1345C2×D4C24×C8911yescharacteristic
1346C2×D4C24×C8911yescharacteristic
1347C2×D4C24×C8911yescharacteristic
1348C2×D4C24×C8911yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—82no—
1366C22×C4C2×D4×C8911yescharacteristic
1367C22×C4C2×D4×C8911yescharacteristic
1368C22×C4C24×C8911yescharacteristic
1369C22×C4C24×C8911yescharacteristic
1370C22×C4C24×C8911yescharacteristic
1371Q16—41no—
1372SD16—22no—
1373SD16—41no—
1374SD16—41no—
1375SD16—41no—
1376D8—22no—
1377D8—41no—
1378D8—41no—
1379M16—41no—
1380M16—41no—
1381M16—41no—
1382M16—41no—
1383C2×C8—41no—
1384C2×C8—41no—
1385C2×C8C24×C8911yescharacteristic
1386C2×C8C24×C8911yescharacteristic
1387C2×C8C24×C8911yescharacteristic
1388C2×C8C24×C8911yescharacteristic
1389C2×C8C24×C8911yescharacteristic
1390C2×C8C24×C8911yescharacteristic
1391C2×C8C24×C8911yescharacteristic
1392C2×C8C24×C8911yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4C2×D4×C8911yescharacteristic
1427C4⋊C4C2×D4×C8911yescharacteristic
1428C4⋊C4C2×D4×C8911yescharacteristic
1429C4⋊C4C2×D4×C8911yescharacteristic
1430C4⋊C4C2×D4×C8911yescharacteristic
1431C4⋊C4C2×D4×C8911yescharacteristic
1432C4⋊C4C2×D4×C8911yescharacteristic
1433C4⋊C4C2×D4×C8911yescharacteristic
1434C4⋊C4C2×D4×C8911yescharacteristic
1435C4⋊C4C2×D4×C8911yescharacteristic
1436C4⋊C4C24×C8911yescharacteristic
1437C4⋊C4C24×C8911yescharacteristic
1438C4⋊C4C24×C8911yescharacteristic
1439C4⋊C4C24×C8911yescharacteristic
1440C4⋊C4C24×C8911yescharacteristic
1441C4⋊C4C24×C8911yescharacteristic
1442C4⋊C4C24×C8911yescharacteristic
1443C4⋊C4C24×C8911yescharacteristic
1444C4⋊C4C24×C8911yescharacteristic
1445C4⋊C4C24×C8911yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4C2×D4×C8911yescharacteristic
1481C22⋊C4C2×D4×C8911yescharacteristic
1482C22⋊C4C2×D4×C8911yescharacteristic
1483C22⋊C4C2×D4×C8911yescharacteristic
1484C22⋊C4C2×D4×C8911yescharacteristic
1485C22⋊C4C2×D4×C8911yescharacteristic
1486C22⋊C4C2×D4×C8911yescharacteristic
1487C22⋊C4C2×D4×C8911yescharacteristic
1488C22⋊C4C2×D4×C8911yescharacteristic
1489C22⋊C4C2×D4×C8911yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—21no—
1497C42—21no—
1498C42—21no—
1499C42—21no—
1500C42C2×D4×C8911yescharacteristic
1501C42C2×D4×C8911yescharacteristic
1502C42C24×C8911yescharacteristic
1503C42C24×C8911yescharacteristic
1504C42C24×C8911yescharacteristic
1505C42C24×C8911yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—42no—
1511C23—42no—
1512C23—42no—
1513C23—81no—
1514C23—81no—
1515C23—81no—
1516C23C22×D4×C8911yescharacteristic
1517C23C22×D4×C8911yescharacteristic
1518C23C22×D4×C8911yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—41no—
1524Q8—81no—
1525Q8—81no—
1526Q8—81no—
1527Q8—81no—
1528Q8—81no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—21no—
1535D4—21no—
1536D4—41no—
1537D4—41no—
1538D4—41no—
1539D4—42no—
1540D4—42no—
1541D4—42no—
1542D4—42no—
1543D4—81no—
1544D4—81no—
1545D4—81no—
1546D4—81no—
1547D4—81no—
1548D4—81no—
1549D4—81no—
1550D4—81no—
1551D42−1+4×C8912yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—42no—
1573C2×C4—42no—
1574C2×C4—81no—
1575C2×C4—81no—
1576C2×C4—81no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4—81no—
1580C2×C4—81no—
1581C2×C4—81no—
1582C2×C4—81no—
1583C2×C4—81no—
1584C2×C4—81no—
1585C2×C4—81no—
1586C2×C4—81no—
1587C2×C4—81no—
1588C2×C4C22×D4×C8911yescharacteristic
1589C2×C4C22×D4×C8911yescharacteristic
1590C2×C4C22×D4×C8911yescharacteristic
1591C2×C4C22×D4×C8911yescharacteristic
1592C2×C4C22×D4×C8911yescharacteristic
1593C2×C4C22×D4×C8911yescharacteristic
1594C2×C4C22×D4×C8911yescharacteristic
1595C2×C4C22×D4×C8911yescharacteristic
1596C2×C4C22×D4×C8911yescharacteristic
1597C2×C4C22×D4×C8911yescharacteristic
1598C2×C4C22×D4×C8911yescharacteristic
1599C2×C4C25×C8911yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—21no—
1606C8—21no—
1607C8—21no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—21no—
1617C22—22no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—84no—
1630C22—162no—
1631C22C23×D4×C8911yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—21no—
1640C4—21no—
1641C4—21no—
1642C4—21no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4C2×2−1+4×C8911yescharacteristic
1656C4#585×C8911yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—41no—
1660C2—42no—
1661C2—81no—
1662C2—81no—
1663C2—81no—
1664C2C89×#348911yescharacteristic
1665C2C89×#358411yescharacteristic
1666C2C89×#358511yescharacteristic
subgroupG/H
center, socleC22×C89C23×D4
commutator, Frattini, cosocleC2×C4C25×C89
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C89 ◁ #529×C89 ◁ G

Complements

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

NH ≅ G/Ntype
1. C89×#3565C2semidirect
2. C89×#3513C2semidirect
3. C89×#3389C2semidirect
4. C89×#3381C2semidirect
5. C89×#3371C2semidirect
6. C89×#3361C2semidirect
7. C89×#3354C2semidirect
8. C89×#3351C2semidirect
9. C89×#3351C2semidirect
10. C89×#3349C2semidirect
11. C89×#3343C2semidirect
12. C89×#3339C2semidirect
13. C89×#3324C2semidirect
14. C89×#3323C2semidirect
15. C89×#3322C2semidirect
16. C89×#3319C2semidirect
17. C89×#3318C2semidirect
18. C89×#3296C2semidirect
19. C89×#3262C2semidirect
20. C89×#3257C2semidirect
21. C89×#3256C2semidirect
22. C89×#3244C2semidirect
23. C89×#3241C2semidirect
24. C89×#3233C2semidirect
25. C89×#3125C2semidirect
26. C89×#3118C2semidirect
27. C89×#3105C2semidirect
28. C89×#3083C2semidirect
29. C89×#3081C2semidirect
30. C89×#3077C2semidirect
31. C89×#2993C2semidirect
35. #557×C89C22semidirect
38. #555×C89C22semidirect
40. #554×C89C22semidirect
44. #553×C89C22semidirect
47. #552×C89C22semidirect
48. #552×C89C22semidirect
56. #544×C89C22semidirect
57. #544×C89C22semidirect
61. #542×C89C22semidirect
62. #542×C89C22semidirect
68. #533×C89C22semidirect
71. #529×C89C22semidirect
77. #501×C89C22semidirect
78. #501×C89C22semidirect
79. #499×C89C22semidirect
80. #499×C89C22semidirect
81. #499×C89C22semidirect
82. #498×C89C22semidirect
84. #489×C89C22semidirect
85. #488×C89C22semidirect
86. #488×C89C22semidirect
87. #488×C89C22semidirect
89. #485×C89C22semidirect
90. #485×C89C22semidirect
91. #485×C89C22semidirect
92. #485×C89C22semidirect
93. #484×C89C22semidirect
94. #483×C89C22semidirect
95. #483×C89C22semidirect
99. #482×C89C22semidirect
100. #482×C89C22semidirect
101. #482×C89C22semidirect
103. #481×C89C22semidirect
104. #481×C89C22semidirect
105. #481×C89C22semidirect
106. #480×C89C22semidirect
107. #479×C89C22semidirect
108. #479×C89C22semidirect
109. #479×C89C22semidirect
110. #479×C89C22semidirect
116. #478×C89C22semidirect
117. #478×C89C22semidirect
118. #478×C89C22semidirect
119. #478×C89C22semidirect
120. #478×C89C22semidirect
121. #478×C89C22semidirect
122. #478×C89C22semidirect
123. #477×C89C22semidirect
124. #477×C89C22semidirect
125. #477×C89C22semidirect
127. #476×C89C22semidirect
128. #476×C89C22semidirect
129. #476×C89C22semidirect
130. #475×C89C22semidirect
134. #474×C89C22semidirect
135. #474×C89C22semidirect
136. #474×C89C22semidirect
137. #470×C89C22semidirect
139. #469×C89C22semidirect
142. #468×C89C22semidirect
143. #468×C89C22semidirect
144. #468×C89C22semidirect
145. #467×C89C22semidirect
147. #466×C89C22semidirect
148. #465×C89C22semidirect
149. #464×C89C22semidirect
150. #464×C89C22semidirect
151. #464×C89C22semidirect
153. #463×C89C22semidirect
154. #463×C89C22semidirect
155. #463×C89C22semidirect
156. #463×C89C22semidirect
165. #446×C89C22semidirect
166. C8×Q8×C89C22semidirect
169. #441×C89C22semidirect
170. #440×C89C22semidirect
174. C4×SD16×C89C22semidirect
175. C4×SD16×C89C22semidirect
177. C4×D8×C89C22semidirect
178. C4×D8×C89C22semidirect
180. #436×C89C22semidirect
181. #436×C89C22semidirect
183. #435×C89C22semidirect
184. C8×D4×C89C22semidirect
185. #433×C89C22semidirect
186. #433×C89C22semidirect
187. #431×C89C22semidirect
188. #428×C89C22semidirect
189. #428×C89C22semidirect
190. #428×C89C22semidirect
191. #428×C89C22semidirect
192. #427×C89C22semidirect
193. C2×#107×C89C22semidirect
194. #424×C89C22semidirect
195. #424×C89C22semidirect
196. #423×C89C22semidirect
823. #62175C89direct (N × H)
834. #3565C2×C89semidirect
835. #3513C2×C89semidirect
836. #3389C2×C89semidirect
837. #3381C2×C89semidirect
838. #3371C2×C89semidirect
839. #3361C2×C89semidirect
840. #3354C2×C89semidirect
841. #3351C2×C89semidirect
842. #3351C2×C89semidirect
843. #3349C2×C89semidirect
844. #3343C2×C89semidirect
845. #3339C2×C89semidirect
846. #3324C2×C89semidirect
847. #3323C2×C89semidirect
848. #3322C2×C89semidirect
849. #3319C2×C89semidirect
850. #3318C2×C89semidirect
851. #3296C2×C89semidirect
852. #3262C2×C89semidirect
853. #3257C2×C89semidirect
854. #3256C2×C89semidirect
855. #3244C2×C89semidirect
856. #3241C2×C89semidirect
857. #3233C2×C89semidirect
858. #3125C2×C89semidirect
859. #3118C2×C89semidirect
860. #3105C2×C89semidirect
861. #3083C2×C89semidirect
862. #3081C2×C89semidirect
863. #3077C2×C89semidirect
864. #2993C2×C89semidirect
865. C89#62175direct (N × H)
869. #557C22×C89semidirect
872. #555C22×C89semidirect
874. #554C22×C89semidirect
878. #553C22×C89semidirect
881. #552C22×C89semidirect
882. #552C22×C89semidirect
890. #544C22×C89semidirect
891. #544C22×C89semidirect
895. #542C22×C89semidirect
896. #542C22×C89semidirect
902. #533C22×C89semidirect
905. #529C22×C89semidirect
911. #501C22×C89semidirect
912. #501C22×C89semidirect
913. #499C22×C89semidirect
914. #499C22×C89semidirect
915. #499C22×C89semidirect
916. #498C22×C89semidirect
918. #489C22×C89semidirect
919. #488C22×C89semidirect
920. #488C22×C89semidirect
921. #488C22×C89semidirect
923. #485C22×C89semidirect
924. #485C22×C89semidirect
925. #485C22×C89semidirect
926. #485C22×C89semidirect
927. #484C22×C89semidirect
928. #483C22×C89semidirect
929. #483C22×C89semidirect
933. #482C22×C89semidirect
934. #482C22×C89semidirect
935. #482C22×C89semidirect
937. #481C22×C89semidirect
938. #481C22×C89semidirect
939. #481C22×C89semidirect
940. #480C22×C89semidirect
941. #479C22×C89semidirect
942. #479C22×C89semidirect
943. #479C22×C89semidirect
944. #479C22×C89semidirect
950. #478C22×C89semidirect
951. #478C22×C89semidirect
952. #478C22×C89semidirect
953. #478C22×C89semidirect
954. #478C22×C89semidirect
955. #478C22×C89semidirect
956. #478C22×C89semidirect
957. #477C22×C89semidirect
958. #477C22×C89semidirect
959. #477C22×C89semidirect
961. #476C22×C89semidirect
962. #476C22×C89semidirect
963. #476C22×C89semidirect
964. #475C22×C89semidirect
968. #474C22×C89semidirect
969. #474C22×C89semidirect
970. #474C22×C89semidirect
971. #470C22×C89semidirect
973. #469C22×C89semidirect
976. #468C22×C89semidirect
977. #468C22×C89semidirect
978. #468C22×C89semidirect
979. #467C22×C89semidirect
981. #466C22×C89semidirect
982. #465C22×C89semidirect
983. #464C22×C89semidirect
984. #464C22×C89semidirect
985. #464C22×C89semidirect
987. #463C22×C89semidirect
988. #463C22×C89semidirect
989. #463C22×C89semidirect
990. #463C22×C89semidirect
999. #446C22×C89semidirect
1000. C8×Q8C22×C89semidirect
1003. #441C22×C89semidirect
1004. #440C22×C89semidirect
1008. C4×SD16C22×C89semidirect
1009. C4×SD16C22×C89semidirect
1011. C4×D8C22×C89semidirect
1012. C4×D8C22×C89semidirect
1014. #436C22×C89semidirect
1015. #436C22×C89semidirect
1017. #435C22×C89semidirect
1018. C8×D4C22×C89semidirect
1019. #433C22×C89semidirect
1020. #433C22×C89semidirect
1021. #431C22×C89semidirect
1022. #428C22×C89semidirect
1023. #428C22×C89semidirect
1024. #428C22×C89semidirect
1025. #428C22×C89semidirect
1026. #427C22×C89semidirect
1027. C2×#107C22×C89semidirect
1028. #424C22×C89semidirect
1029. #424C22×C89semidirect
1030. #423C22×C89semidirect

Maximal subgroups

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

subgroupindex
C89×#35652
C89×#35132
C89×#33892
C89×#33812
C89×#33712
C89×#33612
C89×#33542
C89×#33512
C89×#33492
C89×#33432
C89×#33392
C89×#33242
C89×#33232
C89×#33222
C89×#33192
C89×#33182
C89×#32962
C89×#32622
C89×#32572
C89×#32562
C89×#32442
C89×#32412
C89×#32332
C89×#31252
C89×#31182
C89×#31052
C89×#30832
C89×#30812
C89×#30772
C89×#29932
#6217589