Finite Group Databasebeta

← C89×#61454 #36439302

Subgroups — C89×#61454 #36439302

Order 22784.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3481C211yesmaximal, characteristic, complemented
2C89×#3475C211yesmaximal, characteristic, complemented
3C89×#3401C211yesmaximal, characteristic, complemented
4C89×#3389C211yesmaximal, characteristic, complemented
5C89×#3376C211yesmaximal, characteristic, complemented
6C89×#3370C211yesmaximal, characteristic, complemented
7C89×#3347C211yesmaximal, characteristic, complemented
8C89×#3344C211yesmaximal, characteristic, complemented
9C89×#3337C211yesmaximal, characteristic, complemented
10C89×#3319C211yesmaximal, characteristic, complemented
11C89×#3314C211yesmaximal, characteristic, complemented
12C89×#3310C211yesmaximal, characteristic, complemented
13C89×#3307C211yesmaximal, characteristic, complemented
14C89×#3297C211yesmaximal, characteristic, complemented
15C89×#3296C211yesmaximal, characteristic, complemented
16C89×#3280C211yesmaximal, characteristic, complemented
17C89×#3267C211yesmaximal, characteristic, complemented
18C89×#3264C211yesmaximal, characteristic, complemented
19C89×#3183C211yesmaximal, characteristic, complemented
20C89×#3181C211yesmaximal, characteristic, complemented
21C89×#3180C211yesmaximal, characteristic, complemented
22C89×#3115C211yesmaximal, characteristic, complemented
23C89×#3114C211yesmaximal, characteristic, complemented
24C89×#3114C211yesmaximal, characteristic, complemented
25C89×#3111C211yesmaximal, characteristic, complemented
26C89×#3111C211yesmaximal, characteristic, complemented
27C89×#3110C211yesmaximal, characteristic, complemented
28C89×#2970C211yesmaximal, characteristic, complemented
29C4×AGL(1,ℤ/8)×C89C211yesmaximal, characteristic, complemented
30C89×#2943C211yesmaximal, characteristic, complemented
31C2×#442×C89C211yesmaximal, characteristic, complemented
32C2×AGL(1,ℤ/8)×C89C2211yescharacteristic
33C2×#135×C89C2211yescharacteristic
34C22×D8×C89C2211yescharacteristic
35#559×C89C2211yescharacteristic, complemented
36#556×C89C2211yescharacteristic, complemented
37#555×C89C2211yescharacteristic, complemented
38#554×C89C2211yescharacteristic
39#554×C89C2211yescharacteristic, complemented
40#554×C89C2211yescharacteristic, complemented
41#553×C89—21no—
42#553×C89—21no—
43#553×C89C2211yescharacteristic
44#553×C89C2211yescharacteristic, complemented
45#552×C89—21no—
46#552×C89C2211yescharacteristic
47#552×C89C2211yescharacteristic, complemented
48#551×C89—21no—
49#551×C89—21no—
50#551×C89—21no—
51#551×C89—21no—
52#547×C89C2211yescharacteristic, complemented
53#546×C89—21no—
54#546×C89C2211yescharacteristic
55#546×C89C2211yescharacteristic
56#546×C89C2211yescharacteristic, complemented
57#546×C89C2211yescharacteristic, complemented
58D42×C89C2211yescharacteristic
59#533×C89C2211yescharacteristic, complemented
60#532×C89C2211yescharacteristic, complemented
61#529×C89—21no—
62#529×C89—21no—
63#529×C89—21no—
64#529×C89C2211yescharacteristic
65#529×C89C2211yescharacteristic, complemented
66#529×C89C2211yescharacteristic, complemented
67#529×C89C2211yescharacteristic, complemented
68#525×C89—21no—
69#525×C89—21no—
70#525×C89—21no—
71C4×#41×C89C2211yescharacteristic
72C4×#41×C89C2211yescharacteristic, complemented
73C4×#41×C89C2211yescharacteristic, complemented
74C4×#41×C89C2211yescharacteristic, complemented
75C2×C4×D4×C89—21no—
76C2×C4×D4×C89C2211yescharacteristic
77C2×C4×D4×C89C2211yescharacteristic, complemented
78C2×C4×D4×C89C2211yescharacteristic, complemented
79C2×#117×C89—21no—
80#501×C89C2211yescharacteristic, complemented
81#501×C89C2211yescharacteristic, complemented
82#499×C89C2211yescharacteristic, complemented
83#497×C89C2211yescharacteristic, complemented
84#496×C89C2211yescharacteristic
85#495×C89C2211yescharacteristic, complemented
86#491×C89C2211yescharacteristic, complemented
87#490×C89C2211yescharacteristic, complemented
88#489×C89C2211yescharacteristic, complemented
89#489×C89C2211yescharacteristic, complemented
90#488×C89C2211yescharacteristic, complemented
91#488×C89C2211yescharacteristic, complemented
92#485×C89C2211yescharacteristic, complemented
93#485×C89C2211yescharacteristic, complemented
94#484×C89C2211yescharacteristic, complemented
95#484×C89C2211yescharacteristic, complemented
96#483×C89C2211yescharacteristic, complemented
97#483×C89C2211yescharacteristic, complemented
98#482×C89C2211yescharacteristic, complemented
99#482×C89C2211yescharacteristic, complemented
100#482×C89C2211yescharacteristic, complemented
101#482×C89C2211yescharacteristic, complemented
102#480×C89C2211yescharacteristic
103#480×C89C2211yescharacteristic, complemented
104#479×C89C2211yescharacteristic, complemented
105#479×C89C2211yescharacteristic, complemented
106#478×C89C2211yescharacteristic, complemented
107#478×C89C2211yescharacteristic, complemented
108#478×C89C2211yescharacteristic, complemented
109#478×C89C2211yescharacteristic, complemented
110#478×C89C2211yescharacteristic, complemented
111#478×C89C2211yescharacteristic, complemented
112#475×C89C2211yescharacteristic, complemented
113#474×C89C2211yescharacteristic, complemented
114#474×C89C2211yescharacteristic, complemented
115#474×C89C2211yescharacteristic, complemented
116#470×C89C2211yescharacteristic, complemented
117#469×C89C2211yescharacteristic
118#468×C89C2211yescharacteristic, complemented
119#468×C89C2211yescharacteristic, complemented
120#467×C89C2211yescharacteristic, complemented
121#467×C89C2211yescharacteristic, complemented
122#466×C89C2211yescharacteristic, complemented
123#466×C89C2211yescharacteristic, complemented
124#465×C89C2211yescharacteristic
125#465×C89C2211yescharacteristic
126#465×C89C2211yescharacteristic, complemented
127#465×C89C2211yescharacteristic, complemented
128#464×C89C2211yescharacteristic, complemented
129#464×C89C2211yescharacteristic, complemented
130#463×C89C2211yescharacteristic
131#463×C89C2211yescharacteristic
132#463×C89C2211yescharacteristic, complemented
133#463×C89C2211yescharacteristic, complemented
134#463×C89C2211yescharacteristic, complemented
135#463×C89C2211yescharacteristic, complemented
136#461×C89C2211yescharacteristic, complemented
137#461×C89C2211yescharacteristic, complemented
138#460×C89C2211yescharacteristic, complemented
139#459×C89C2211yescharacteristic
140#452×C89C2211yescharacteristic, complemented
141#452×C89C2211yescharacteristic, complemented
142#450×C89C2211yescharacteristic
143#450×C89C2211yescharacteristic
144#450×C89C2211yescharacteristic, complemented
145#450×C89C2211yescharacteristic, complemented
146#449×C89C2211yescharacteristic
147#449×C89C2211yescharacteristic
148#449×C89C2211yescharacteristic, complemented
149#449×C89C2211yescharacteristic, complemented
150#447×C89C2211yescharacteristic
151#447×C89C2211yescharacteristic
152#446×C89C2211yescharacteristic, complemented
153#446×C89C2211yescharacteristic, complemented
154#442×C89C2211yescharacteristic
155#442×C89C2211yescharacteristic
156#442×C89C2211yescharacteristic
157#442×C89C2211yescharacteristic
158#442×C89C2211yescharacteristic
159#442×C89C2211yescharacteristic, complemented
160#442×C89C2211yescharacteristic, complemented
161#442×C89C2211yescharacteristic, complemented
162#442×C89C2211yescharacteristic, complemented
163#442×C89C2211yescharacteristic, complemented
164#442×C89C2211yescharacteristic, complemented
165#441×C89C2211yescharacteristic, complemented
166#441×C89C2211yescharacteristic, complemented
167#441×C89C2211yescharacteristic, complemented
168#440×C89C2211yescharacteristic, complemented
169#440×C89C2211yescharacteristic, complemented
170#440×C89C2211yescharacteristic, complemented
171#440×C89C2211yescharacteristic, complemented
172#440×C89C2211yescharacteristic, complemented
173#440×C89C2211yescharacteristic, complemented
174#440×C89C2211yescharacteristic, complemented
175#440×C89C2211yescharacteristic, complemented
176#440×C89C2211yescharacteristic, complemented
177#440×C89C2211yescharacteristic, complemented
178C4×SD16×C89C2211yescharacteristic, complemented
179C4×SD16×C89C2211yescharacteristic, complemented
180C4×D8×C89C2211yescharacteristic
181C4×D8×C89C2211yescharacteristic, complemented
182#435×C89C2211yescharacteristic
183#435×C89C2211yescharacteristic
184#435×C89C2211yescharacteristic, complemented
185#435×C89C2211yescharacteristic, complemented
186C8×D4×C89C2211yescharacteristic, complemented
187C8×D4×C89C2211yescharacteristic, complemented
188#432×C89C2211yescharacteristic, complemented
189#432×C89C2211yescharacteristic, complemented
190#432×C89C2211yescharacteristic, complemented
191#428×C89C2211yescharacteristic, complemented
192#427×C89C2211yescharacteristic, complemented
193C2×#106×C89C2211yescharacteristic, complemented
194#418×C89C2211yescharacteristic, complemented
195#417×C89C2211yescharacteristic, complemented
196#416×C89C2211yescharacteristic, complemented
197#416×C89C2211yescharacteristic, complemented
198C2×#102×C89C2211yescharacteristic
199C2×#102×C89C2211yescharacteristic, complemented
200C4×M16×C89C2211yescharacteristic, complemented
201C2×#97×C89C2211yescharacteristic, complemented
202C2×#97×C89C2211yescharacteristic, complemented
203C2×#41×C89—21no—
204C2×#41×C89D411yescharacteristic
205C2×#41×C89C2311yescharacteristic
206C2×#41×C89C2311yescharacteristic
207C2×#41×C89C2311yescharacteristic
208C22×D4×C89—21no—
209C22×D4×C89C2311yescharacteristic
210C22×D4×C89C2311yescharacteristic
211C22×D4×C89C2311yescharacteristic
212C23×C4×C89—21no—
213C23×C4×C89—21no—
214C23×C4×C89—21no—
215AGL(1,ℤ/8)×C89—24no—
216#135×C89—24no—
217C2×Q16×C89C2311yescharacteristic
218C2×Q16×C89C2311yescharacteristic
219C2×SD16×C89C2311yescharacteristic
220C2×SD16×C89C2311yescharacteristic
221C2×SD16×C89C2311yescharacteristic
222C2×SD16×C89C2311yescharacteristic
223C2×SD16×C89C2311yescharacteristic
224C2×SD16×C89C2311yescharacteristic
225C2×SD16×C89C2311yescharacteristic
226C2×SD16×C89C2311yescharacteristic
227C2×D8×C89—24no—
228C2×D8×C89C2311yescharacteristic
229C2×D8×C89C2311yescharacteristic
230C2×D8×C89C2311yescharacteristic
231C2×D8×C89C2311yescharacteristic
232C2×D8×C89C2311yescharacteristic
233C2×D8×C89C2311yescharacteristic
234C2×M16×C89C2311yescharacteristic
235C2×M16×C89C2311yescharacteristic
236C22×C8×C89C2311yescharacteristic
237C22×C8×C89C2311yescharacteristic
238C22×C8×C89C2311yescharacteristic
239C22×C8×C89C2311yescharacteristic
240C4⋊Q8×C89C2311yescharacteristic
241C4⋊Q8×C89C2311yescharacteristic
242C4⋊Q8×C89C2311yescharacteristic
243#127×C89C2311yescharacteristic
244#126×C89—21no—
245#126×C89—21no—
246#126×C89—21no—
247#126×C89—21no—
248#126×C89—21no—
249#126×C89—21no—
250#126×C89—21no—
251#126×C89—21no—
252#126×C89—21no—
253#126×C89—21no—
254#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#124×C89—21no—
263#124×C89—21no—
264#124×C89—21no—
265#124×C89—21no—
266#124×C89C2311yescharacteristic
267#124×C89C2311yescharacteristic
268#124×C89C2311yescharacteristic
269#124×C89C2311yescharacteristic
270#123×C89—21no—
271#123×C89—21no—
272#123×C89—21no—
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—
286C22⋊Q8×C89—21no—
287C22⋊Q8×C89—21no—
288C22⋊Q8×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×C89C2311yescharacteristic
313#121×C89C2311yescharacteristic
314#121×C89C2311yescharacteristic
315#121×C89C2311yescharacteristic
316#121×C89C2311yescharacteristic
317#121×C89C2311yescharacteristic
318#120×C89—21no—
319#120×C89—21no—
320#120×C89—21no—
321#120×C89—21no—
322#120×C89—21no—
323#120×C89—21no—
324C4×Q8×C89—21no—
325C4×Q8×C89D411yescharacteristic
326C4×Q8×C89C2311yescharacteristic
327C4×Q8×C89C2311yescharacteristic
328C4×Q8×C89C2311yescharacteristic
329C4×Q8×C89C2311yescharacteristic
330C4×Q8×C89C2311yescharacteristic
331C4×Q8×C89C2311yescharacteristic
332C4×Q8×C89C2311yescharacteristic
333C4×D4×C89—21no—
334C4×D4×C89—21no—
335C4×D4×C89—21no—
336C4×D4×C89—21no—
337C4×D4×C89—21no—
338C4×D4×C89—21no—
339C4×D4×C89—21no—
340C4×D4×C89—21no—
341C4×D4×C89—21no—
342C4×D4×C89—21no—
343C4×D4×C89—21no—
344C4×D4×C89—21no—
345C4×D4×C89—21no—
346C4×D4×C89—21no—
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×C89D411yescharacteristic
355C4×D4×C89D411yescharacteristic
356C4×D4×C89D411yescharacteristic
357C4×D4×C89C2311yescharacteristic
358C4×D4×C89C2311yescharacteristic
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
373C4×D4×C89C2311yescharacteristic
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×C89—21no—
381#117×C89—21no—
382#117×C89—21no—
383#117×C89—21no—
384#117×C89—21no—
385#117×C89—21no—
386#117×C89D411yescharacteristic
387#117×C89D411yescharacteristic
388#117×C89D411yescharacteristic
389#117×C89C2311yescharacteristic
390#117×C89C2311yescharacteristic
391#117×C89C2311yescharacteristic
392C2×C4⋊C4×C89—21no—
393C2×C4⋊C4×C89—21no—
394C2×C4⋊C4×C89—21no—
395C2×C4⋊C4×C89C2311yescharacteristic
396C2×C4⋊C4×C89C2311yescharacteristic
397C2×C4⋊C4×C89C2311yescharacteristic
398C2×C22⋊C4×C89—21no—
399C2×C22⋊C4×C89—21no—
400C2×C22⋊C4×C89—21no—
401C2×C22⋊C4×C89—21no—
402C2×C22⋊C4×C89—21no—
403C2×C22⋊C4×C89—21no—
404C2×C22⋊C4×C89—21no—
405C2×C42×C89—21no—
406C2×C42×C89—21no—
407C2×C42×C89—21no—
408C2×C42×C89C2311yescharacteristic
409C2×C42×C89C2311yescharacteristic
410C2×C42×C89C2311yescharacteristic
411#107×C89C2311yescharacteristic
412#107×C89C2311yescharacteristic
413#107×C89C2311yescharacteristic
414#107×C89C2311yescharacteristic
415#107×C89C2311yescharacteristic
416#107×C89C2311yescharacteristic
417#107×C89C2311yescharacteristic
418#107×C89C2311yescharacteristic
419#106×C89C2311yescharacteristic
420#106×C89C2311yescharacteristic
421#106×C89C2311yescharacteristic
422#106×C89C2311yescharacteristic
423#106×C89C2311yescharacteristic
424#106×C89C2311yescharacteristic
425#106×C89C2311yescharacteristic
426#106×C89C2311yescharacteristic
427C4⋊C8×C89C2311yescharacteristic
428C4⋊C8×C89C2311yescharacteristic
429C4⋊C8×C89C2311yescharacteristic
430C4⋊C8×C89C2311yescharacteristic
431C4⋊C8×C89C2311yescharacteristic
432C4⋊C8×C89C2311yescharacteristic
433#103×C89C2311yescharacteristic
434#103×C89C2311yescharacteristic
435#103×C89C2311yescharacteristic
436#103×C89C2311yescharacteristic
437#103×C89C2311yescharacteristic
438#103×C89C2311yescharacteristic
439#103×C89C2311yescharacteristic
440#103×C89C2311yescharacteristic
441#103×C89C2311yescharacteristic
442#103×C89C2311yescharacteristic
443#103×C89C2311yescharacteristic
444#103×C89C2311yescharacteristic
445#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
465C22⋊C8×C89C2311yescharacteristic
466C22⋊C8×C89C2311yescharacteristic
467C22⋊C8×C89C2311yescharacteristic
468C22⋊C8×C89C2311yescharacteristic
469C22⋊C8×C89C2311yescharacteristic
470C22⋊C8×C89C2311yescharacteristic
471#97×C89C2311yescharacteristic
472#97×C89C2311yescharacteristic
473#97×C89C2311yescharacteristic
474#97×C89C2311yescharacteristic
475#97×C89C2311yescharacteristic
476#97×C89C2311yescharacteristic
477#97×C89C2311yescharacteristic
478#97×C89C2311yescharacteristic
479C4×C8×C89C2311yescharacteristic
480C4×C8×C89C2311yescharacteristic
481C24×C89—21no—
482C24×C89—21no—
483C24×C89—21no—
484#41×C89—22no—
485#41×C89—22no—
486#41×C89—22no—
487#41×C89—42no—
488#41×C89—41no—
489#41×C89—41no—
490#41×C89—41no—
491#41×C89—82no—
492C2×Q8×C89—21no—
493C2×Q8×C89—21no—
494C2×Q8×C89C2×D411yescharacteristic
495C2×Q8×C89C2411yescharacteristic
496C2×Q8×C89C2411yescharacteristic
497C2×Q8×C89C2411yescharacteristic
498C2×D4×C89—22no—
499C2×D4×C89—22no—
500C2×D4×C89—22no—
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×C89—41no—
518C2×D4×C89—44no—
519C2×D4×C89C2×D411yescharacteristic
520C2×D4×C89C2×D411yescharacteristic
521C2×D4×C89C2×D411yescharacteristic
522C2×D4×C89C2411yescharacteristic
523C2×D4×C89C2411yescharacteristic
524C2×D4×C89C2411yescharacteristic
525C2×D4×C89C2411yescharacteristic
526C2×D4×C89C2411yescharacteristic
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—21no—
542C22×C4×C89—21no—
543C22×C4×C89—21no—
544C22×C4×C89—21no—
545C22×C4×C89—21no—
546C22×C4×C89—21no—
547C22×C4×C89—44no—
548C22×C4×C89—82no—
549C22×C4×C89—82no—
550C22×C4×C89C2×D411yescharacteristic
551C22×C4×C89C2×D411yescharacteristic
552C22×C4×C89C2×D411yescharacteristic
553C22×C4×C89C2×D411yescharacteristic
554C22×C4×C89C2×D411yescharacteristic
555C22×C4×C89C2×D411yescharacteristic
556C22×C4×C89C2411yescharacteristic
557C22×C4×C89C2411yescharacteristic
558C22×C4×C89C2411yescharacteristic
559Q16×C89—22no—
560Q16×C89—41no—
561SD16×C89—22no—
562SD16×C89—22no—
563SD16×C89—22no—
564SD16×C89—22no—
565SD16×C89—41no—
566SD16×C89—41no—
567SD16×C89—41no—
568SD16×C89—41no—
569D8×C89—22no—
570D8×C89—22no—
571D8×C89—22no—
572D8×C89—22no—
573D8×C89—41no—
574D8×C89#4114yescomplemented
575M16×C89—22no—
576M16×C89—41no—
577C2×C8×C89—22no—
578C2×C8×C89—22no—
579C2×C8×C89—41no—
580C2×C8×C89—41no—
581C2×C8×C89C2411yescharacteristic
582C2×C8×C89C2411yescharacteristic
583C2×C8×C89C2411yescharacteristic
584C2×C8×C89C2411yescharacteristic
585C2×C8×C89C2411yescharacteristic
586C2×C8×C89C2411yescharacteristic
587C2×C8×C89C2411yescharacteristic
588C2×C8×C89C2411yescharacteristic
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×C89—21no—
611C4⋊C4×C89—21no—
612C4⋊C4×C89—21no—
613C4⋊C4×C89—21no—
614C4⋊C4×C89—21no—
615C4⋊C4×C89—21no—
616C4⋊C4×C89C2×D411yescharacteristic
617C4⋊C4×C89C2×D411yescharacteristic
618C4⋊C4×C89C2×D411yescharacteristic
619C4⋊C4×C89C2×D411yescharacteristic
620C4⋊C4×C89C2×D411yescharacteristic
621C4⋊C4×C89C2×D411yescharacteristic
622C4⋊C4×C89C2411yescharacteristic
623C4⋊C4×C89C2411yescharacteristic
624C4⋊C4×C89C2411yescharacteristic
625C4⋊C4×C89C2411yescharacteristic
626C4⋊C4×C89C2411yescharacteristic
627C4⋊C4×C89C2411yescharacteristic
628C4⋊C4×C89C2411yescharacteristic
629C4⋊C4×C89C2411yescharacteristic
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×C89—21no—
660C22⋊C4×C89—21no—
661C22⋊C4×C89—21no—
662C22⋊C4×C89—21no—
663C22⋊C4×C89—21no—
664C22⋊C4×C89—21no—
665C22⋊C4×C89—21no—
666C22⋊C4×C89—21no—
667C22⋊C4×C89C2×D411yescharacteristic
668C22⋊C4×C89C2×D411yescharacteristic
669C22⋊C4×C89C2×D411yescharacteristic
670C22⋊C4×C89C2×D411yescharacteristic
671C22⋊C4×C89C2×D411yescharacteristic
672C22⋊C4×C89C2×D411yescharacteristic
673C42×C89—21no—
674C42×C89—21no—
675C42×C89—21no—
676C42×C89—21no—
677C42×C89—21no—
678C42×C89—21no—
679C42×C89—21no—
680C42×C89—21no—
681C42×C89—21no—
682C42×C89C2×D411yescharacteristic
683C42×C89C2×D411yescharacteristic
684C42×C89C2×D411yescharacteristic
685C42×C89C2×D411yescharacteristic
686C42×C89C2×D411yescharacteristic
687C42×C89C2×D411yescharacteristic
688C42×C89C2411yescharacteristic
689C42×C89C2411yescharacteristic
690C42×C89C2411yescharacteristic
691C42×C89C2411yescharacteristic
692C23×C89—21no—
693C23×C89—21no—
694C23×C89—21no—
695C23×C89—21no—
696C23×C89—21no—
697C23×C89—42no—
698C23×C89—42no—
699C23×C89—42no—
700C23×C89—42no—
701C23×C89—42no—
702C23×C89—42no—
703C23×C89—81no—
704C23×C89—81no—
705C23×C89—81no—
706C23×C89C22×D411yescharacteristic
707C23×C89C22×D411yescharacteristic
708C23×C89C22×D411yescharacteristic
709Q8×C89—21no—
710Q8×C89—21no—
711Q8×C89—21no—
712Q8×C89—21no—
713Q8×C89—21no—
714Q8×C89—21no—
715Q8×C89—41no—
716Q8×C89—81no—
717Q8×C89—81no—
718D4×C89—22no—
719D4×C89—22no—
720D4×C89—21no—
721D4×C89—21no—
722D4×C89—21no—
723D4×C89—21no—
724D4×C89—21no—
725D4×C89—21no—
726D4×C89—21no—
727D4×C89—21no—
728D4×C89—41no—
729D4×C89—42no—
730D4×C89—42no—
731D4×C89—42no—
732D4×C89—42no—
733D4×C89—42no—
734D4×C89—42no—
735D4×C89—42no—
736D4×C89—42no—
737D4×C89—42no—
738D4×C89—81no—
739D4×C89—81no—
740D4×C89—81no—
741D4×C89—81no—
742D4×C89—81no—
743D4×C89C2×#4112yes—
744D4×C89C2×#4112yes—
745C2×C4×C89—22no—
746C2×C4×C89—21no—
747C2×C4×C89—21no—
748C2×C4×C89—21no—
749C2×C4×C89—21no—
750C2×C4×C89—21no—
751C2×C4×C89—21no—
752C2×C4×C89—21no—
753C2×C4×C89—21no—
754C2×C4×C89—21no—
755C2×C4×C89—21no—
756C2×C4×C89—21no—
757C2×C4×C89—21no—
758C2×C4×C89—21no—
759C2×C4×C89—21no—
760C2×C4×C89—21no—
761C2×C4×C89—21no—
762C2×C4×C89—21no—
763C2×C4×C89—41no—
764C2×C4×C89—41no—
765C2×C4×C89—41no—
766C2×C4×C89—41no—
767C2×C4×C89—41no—
768C2×C4×C89—42no—
769C2×C4×C89—42no—
770C2×C4×C89—42no—
771C2×C4×C89—42no—
772C2×C4×C89—42no—
773C2×C4×C89—42no—
774C2×C4×C89—42no—
775C2×C4×C89—42no—
776C2×C4×C89—42no—
777C2×C4×C89—42no—
778C2×C4×C89—42no—
779C2×C4×C89—42no—
780C2×C4×C89—81no—
781C2×C4×C89—81no—
782C2×C4×C89—81no—
783C2×C4×C89—81no—
784C2×C4×C89—81no—
785C2×C4×C89—81no—
786C2×C4×C89—81no—
787C2×C4×C89—81no—
788C2×C4×C89C22×D411yescharacteristic
789C2×C4×C89C22×D411yescharacteristic
790C2×C4×C89C22×D411yescharacteristic
791C2×C4×C89C22×D411yescharacteristic
792C2×C4×C89C22×D411yescharacteristic
793C2×C4×C89C22×D411yescharacteristic
794C2×C4×C89C22×D411yescharacteristic
795C2×C4×C89C22×D411yescharacteristic
796C2×C4×C89C22×D411yescharacteristic
797C2×C4×C89C22×D411yescharacteristic
798C2×C4×C89C22×D411yescharacteristic
799C2×C4×C89C2511yescharacteristic
800C8×C89—21no—
801C8×C89—21no—
802C8×C89—21no—
803C8×C89—21no—
804C8×C89—21no—
805C8×C89—21no—
806C8×C89—21no—
807C8×C89C2×#4112yes—
808C22×C89—21no—
809C22×C89—21no—
810C22×C89—21no—
811C22×C89—21no—
812C22×C89—21no—
813C22×C89—21no—
814C22×C89—22no—
815C22×C89—22no—
816C22×C89—21no—
817C22×C89—21no—
818C22×C89—41no—
819C22×C89—41no—
820C22×C89—41no—
821C22×C89—41no—
822C22×C89—41no—
823C22×C89—41no—
824C22×C89—41no—
825C22×C89—41no—
826C22×C89—41no—
827C22×C89—41no—
828C22×C89—41no—
829C22×C89—41no—
830C22×C89—41no—
831C22×C89—84no—
832C22×C89—84no—
833C22×C89—84no—
834C22×C89#57512yes—
835C22×C89C23×D411yescharacteristic
836C4×C89—21no—
837C4×C89—21no—
838C4×C89—21no—
839C4×C89—21no—
840C4×C89—21no—
841C4×C89—21no—
842C4×C89—21no—
843C4×C89—21no—
844C4×C89—21no—
845C4×C89—21no—
846C4×C89—21no—
847C4×C89—41no—
848C4×C89—41no—
849C4×C89—41no—
850C4×C89—41no—
851C4×C89—41no—
852C4×C89—41no—
853C4×C89—41no—
854C4×C89—41no—
855C4×C89—41no—
856C4×C89—41no—
857C4×C89—41no—
858C4×C89C22×#4111yescharacteristic
859C4×C89#58511yescharacteristic
860#61454C8911yesmaximal, characteristic, direct product factor, Sylow
861C2×C89—22no—
862C2×C89—41no—
863C2×C89—41no—
864C2×C89—42no—
865C2×C89—42no—
866C2×C89—81no—
867C2×C89—81no—
868C2×C89—81no—
869C2×C89D4×#4111yescharacteristic
870C2×C89C2×#57511yescharacteristic
871C2×C89#358511yescharacteristic
872#3481C2×C8911yescharacteristic, complemented
873#3475C2×C8911yescharacteristic, complemented
874#3401C2×C8911yescharacteristic, complemented
875#3389C2×C8911yescharacteristic, complemented
876#3376C2×C8911yescharacteristic, complemented
877#3370C2×C8911yescharacteristic, complemented
878#3347C2×C8911yescharacteristic, complemented
879#3344C2×C8911yescharacteristic, complemented
880#3337C2×C8911yescharacteristic, complemented
881#3319C2×C8911yescharacteristic, complemented
882#3314C2×C8911yescharacteristic, complemented
883#3310C2×C8911yescharacteristic, complemented
884#3307C2×C8911yescharacteristic, complemented
885#3297C2×C8911yescharacteristic, complemented
886#3296C2×C8911yescharacteristic, complemented
887#3280C2×C8911yescharacteristic, complemented
888#3267C2×C8911yescharacteristic, complemented
889#3264C2×C8911yescharacteristic, complemented
890#3183C2×C8911yescharacteristic, complemented
891#3181C2×C8911yescharacteristic, complemented
892#3180C2×C8911yescharacteristic, complemented
893#3115C2×C8911yescharacteristic, complemented
894#3114C2×C8911yescharacteristic, complemented
895#3114C2×C8911yescharacteristic, complemented
896#3111C2×C8911yescharacteristic, complemented
897#3111C2×C8911yescharacteristic, complemented
898#3110C2×C8911yescharacteristic, complemented
899#2970C2×C8911yescharacteristic, complemented
900C4×AGL(1,ℤ/8)C2×C8911yescharacteristic, complemented
901#2943C2×C8911yescharacteristic, complemented
902C2×#442C2×C8911yescharacteristic, complemented
903C89#6145411yescharacteristic, direct product factor, Sylow
904C2×AGL(1,ℤ/8)C22×C8911yescharacteristic
905C2×#135C22×C8911yescharacteristic
906C22×D8C22×C8911yescharacteristic
907#559C22×C8911yescharacteristic, complemented
908#556C22×C8911yescharacteristic, complemented
909#555C22×C8911yescharacteristic, complemented
910#554C22×C8911yescharacteristic
911#554C22×C8911yescharacteristic, complemented
912#554C22×C8911yescharacteristic, complemented
913#553—21no—
914#553—21no—
915#553C22×C8911yescharacteristic
916#553C22×C8911yescharacteristic, complemented
917#552—21no—
918#552C22×C8911yescharacteristic
919#552C22×C8911yescharacteristic, complemented
920#551—21no—
921#551—21no—
922#551—21no—
923#551—21no—
924#547C22×C8911yescharacteristic, complemented
925#546—21no—
926#546C22×C8911yescharacteristic
927#546C22×C8911yescharacteristic
928#546C22×C8911yescharacteristic, complemented
929#546C22×C8911yescharacteristic, complemented
930D42C22×C8911yescharacteristic
931#533C22×C8911yescharacteristic, complemented
932#532C22×C8911yescharacteristic, complemented
933#529—21no—
934#529—21no—
935#529—21no—
936#529C22×C8911yescharacteristic
937#529C22×C8911yescharacteristic, complemented
938#529C22×C8911yescharacteristic, complemented
939#529C22×C8911yescharacteristic, complemented
940#525—21no—
941#525—21no—
942#525—21no—
943C4×#41C22×C8911yescharacteristic
944C4×#41C22×C8911yescharacteristic, complemented
945C4×#41C22×C8911yescharacteristic, complemented
946C4×#41C22×C8911yescharacteristic, complemented
947C2×C4×D4—21no—
948C2×C4×D4C22×C8911yescharacteristic
949C2×C4×D4C22×C8911yescharacteristic, complemented
950C2×C4×D4C22×C8911yescharacteristic, complemented
951C2×#117—21no—
952#501C22×C8911yescharacteristic, complemented
953#501C22×C8911yescharacteristic, complemented
954#499C22×C8911yescharacteristic, complemented
955#497C22×C8911yescharacteristic, complemented
956#496C22×C8911yescharacteristic
957#495C22×C8911yescharacteristic, complemented
958#491C22×C8911yescharacteristic, complemented
959#490C22×C8911yescharacteristic, complemented
960#489C22×C8911yescharacteristic, complemented
961#489C22×C8911yescharacteristic, complemented
962#488C22×C8911yescharacteristic, complemented
963#488C22×C8911yescharacteristic, complemented
964#485C22×C8911yescharacteristic, complemented
965#485C22×C8911yescharacteristic, complemented
966#484C22×C8911yescharacteristic, complemented
967#484C22×C8911yescharacteristic, complemented
968#483C22×C8911yescharacteristic, complemented
969#483C22×C8911yescharacteristic, complemented
970#482C22×C8911yescharacteristic, complemented
971#482C22×C8911yescharacteristic, complemented
972#482C22×C8911yescharacteristic, complemented
973#482C22×C8911yescharacteristic, complemented
974#480C22×C8911yescharacteristic
975#480C22×C8911yescharacteristic, complemented
976#479C22×C8911yescharacteristic, complemented
977#479C22×C8911yescharacteristic, complemented
978#478C22×C8911yescharacteristic, complemented
979#478C22×C8911yescharacteristic, complemented
980#478C22×C8911yescharacteristic, complemented
981#478C22×C8911yescharacteristic, complemented
982#478C22×C8911yescharacteristic, complemented
983#478C22×C8911yescharacteristic, complemented
984#475C22×C8911yescharacteristic, complemented
985#474C22×C8911yescharacteristic, complemented
986#474C22×C8911yescharacteristic, complemented
987#474C22×C8911yescharacteristic, complemented
988#470C22×C8911yescharacteristic, complemented
989#469C22×C8911yescharacteristic
990#468C22×C8911yescharacteristic, complemented
991#468C22×C8911yescharacteristic, complemented
992#467C22×C8911yescharacteristic, complemented
993#467C22×C8911yescharacteristic, complemented
994#466C22×C8911yescharacteristic, complemented
995#466C22×C8911yescharacteristic, complemented
996#465C22×C8911yescharacteristic
997#465C22×C8911yescharacteristic
998#465C22×C8911yescharacteristic, complemented
999#465C22×C8911yescharacteristic, complemented
1000#464C22×C8911yescharacteristic, complemented
1001#464C22×C8911yescharacteristic, complemented
1002#463C22×C8911yescharacteristic
1003#463C22×C8911yescharacteristic
1004#463C22×C8911yescharacteristic, complemented
1005#463C22×C8911yescharacteristic, complemented
1006#463C22×C8911yescharacteristic, complemented
1007#463C22×C8911yescharacteristic, complemented
1008#461C22×C8911yescharacteristic, complemented
1009#461C22×C8911yescharacteristic, complemented
1010#460C22×C8911yescharacteristic, complemented
1011#459C22×C8911yescharacteristic
1012#452C22×C8911yescharacteristic, complemented
1013#452C22×C8911yescharacteristic, complemented
1014#450C22×C8911yescharacteristic
1015#450C22×C8911yescharacteristic
1016#450C22×C8911yescharacteristic, complemented
1017#450C22×C8911yescharacteristic, complemented
1018#449C22×C8911yescharacteristic
1019#449C22×C8911yescharacteristic
1020#449C22×C8911yescharacteristic, complemented
1021#449C22×C8911yescharacteristic, complemented
1022#447C22×C8911yescharacteristic
1023#447C22×C8911yescharacteristic
1024#446C22×C8911yescharacteristic, complemented
1025#446C22×C8911yescharacteristic, complemented
1026#442C22×C8911yescharacteristic
1027#442C22×C8911yescharacteristic
1028#442C22×C8911yescharacteristic
1029#442C22×C8911yescharacteristic
1030#442C22×C8911yescharacteristic
1031#442C22×C8911yescharacteristic, complemented
1032#442C22×C8911yescharacteristic, complemented
1033#442C22×C8911yescharacteristic, complemented
1034#442C22×C8911yescharacteristic, complemented
1035#442C22×C8911yescharacteristic, complemented
1036#442C22×C8911yescharacteristic, complemented
1037#441C22×C8911yescharacteristic, complemented
1038#441C22×C8911yescharacteristic, complemented
1039#441C22×C8911yescharacteristic, complemented
1040#440C22×C8911yescharacteristic, complemented
1041#440C22×C8911yescharacteristic, complemented
1042#440C22×C8911yescharacteristic, complemented
1043#440C22×C8911yescharacteristic, complemented
1044#440C22×C8911yescharacteristic, complemented
1045#440C22×C8911yescharacteristic, complemented
1046#440C22×C8911yescharacteristic, complemented
1047#440C22×C8911yescharacteristic, complemented
1048#440C22×C8911yescharacteristic, complemented
1049#440C22×C8911yescharacteristic, complemented
1050C4×SD16C22×C8911yescharacteristic, complemented
1051C4×SD16C22×C8911yescharacteristic, complemented
1052C4×D8C22×C8911yescharacteristic
1053C4×D8C22×C8911yescharacteristic, complemented
1054#435C22×C8911yescharacteristic
1055#435C22×C8911yescharacteristic
1056#435C22×C8911yescharacteristic, complemented
1057#435C22×C8911yescharacteristic, complemented
1058C8×D4C22×C8911yescharacteristic, complemented
1059C8×D4C22×C8911yescharacteristic, complemented
1060#432C22×C8911yescharacteristic, complemented
1061#432C22×C8911yescharacteristic, complemented
1062#432C22×C8911yescharacteristic, complemented
1063#428C22×C8911yescharacteristic, complemented
1064#427C22×C8911yescharacteristic, complemented
1065C2×#106C22×C8911yescharacteristic, complemented
1066#418C22×C8911yescharacteristic, complemented
1067#417C22×C8911yescharacteristic, complemented
1068#416C22×C8911yescharacteristic, complemented
1069#416C22×C8911yescharacteristic, complemented
1070C2×#102C22×C8911yescharacteristic
1071C2×#102C22×C8911yescharacteristic, complemented
1072C4×M16C22×C8911yescharacteristic, complemented
1073C2×#97C22×C8911yescharacteristic, complemented
1074C2×#97C22×C8911yescharacteristic, complemented
1075C2×#41—21no—
1076C2×#41D4×C8911yescharacteristic
1077C2×#41C23×C8911yescharacteristic
1078C2×#41C23×C8911yescharacteristic
1079C2×#41C23×C8911yescharacteristic
1080C22×D4—21no—
1081C22×D4C23×C8911yescharacteristic
1082C22×D4C23×C8911yescharacteristic
1083C22×D4C23×C8911yescharacteristic
1084C23×C4—21no—
1085C23×C4—21no—
1086C23×C4—21no—
1087AGL(1,ℤ/8)—24no—
1088#135—24no—
1089C2×Q16C23×C8911yescharacteristic
1090C2×Q16C23×C8911yescharacteristic
1091C2×SD16C23×C8911yescharacteristic
1092C2×SD16C23×C8911yescharacteristic
1093C2×SD16C23×C8911yescharacteristic
1094C2×SD16C23×C8911yescharacteristic
1095C2×SD16C23×C8911yescharacteristic
1096C2×SD16C23×C8911yescharacteristic
1097C2×SD16C23×C8911yescharacteristic
1098C2×SD16C23×C8911yescharacteristic
1099C2×D8—24no—
1100C2×D8C23×C8911yescharacteristic
1101C2×D8C23×C8911yescharacteristic
1102C2×D8C23×C8911yescharacteristic
1103C2×D8C23×C8911yescharacteristic
1104C2×D8C23×C8911yescharacteristic
1105C2×D8C23×C8911yescharacteristic
1106C2×M16C23×C8911yescharacteristic
1107C2×M16C23×C8911yescharacteristic
1108C22×C8C23×C8911yescharacteristic
1109C22×C8C23×C8911yescharacteristic
1110C22×C8C23×C8911yescharacteristic
1111C22×C8C23×C8911yescharacteristic
1112C4⋊Q8C23×C8911yescharacteristic
1113C4⋊Q8C23×C8911yescharacteristic
1114C4⋊Q8C23×C8911yescharacteristic
1115#127C23×C8911yescharacteristic
1116#126—21no—
1117#126—21no—
1118#126—21no—
1119#126—21no—
1120#126—21no—
1121#126—21no—
1122#126—21no—
1123#126—21no—
1124#126—21no—
1125#126—21no—
1126#125—21no—
1127#125—21no—
1128#125—21no—
1129#125—21no—
1130#125C23×C8911yescharacteristic
1131#125C23×C8911yescharacteristic
1132#125C23×C8911yescharacteristic
1133#125C23×C8911yescharacteristic
1134#124—21no—
1135#124—21no—
1136#124—21no—
1137#124—21no—
1138#124C23×C8911yescharacteristic
1139#124C23×C8911yescharacteristic
1140#124C23×C8911yescharacteristic
1141#124C23×C8911yescharacteristic
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149#123—21no—
1150#123—21no—
1151#123—21no—
1152#123—21no—
1153#123—21no—
1154#123—21no—
1155#123—21no—
1156#123—21no—
1157#123—21no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8—21no—
1163C22⋊Q8—21no—
1164C22⋊Q8—21no—
1165C22⋊Q8—21no—
1166C22⋊Q8—21no—
1167C22⋊Q8—21no—
1168C22⋊Q8C23×C8911yescharacteristic
1169C22⋊Q8C23×C8911yescharacteristic
1170C22⋊Q8C23×C8911yescharacteristic
1171C22⋊Q8C23×C8911yescharacteristic
1172C22⋊Q8C23×C8911yescharacteristic
1173C22⋊Q8C23×C8911yescharacteristic
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—21no—
1178#121—21no—
1179#121—21no—
1180#121—21no—
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121C23×C8911yescharacteristic
1185#121C23×C8911yescharacteristic
1186#121C23×C8911yescharacteristic
1187#121C23×C8911yescharacteristic
1188#121C23×C8911yescharacteristic
1189#121C23×C8911yescharacteristic
1190#120—21no—
1191#120—21no—
1192#120—21no—
1193#120—21no—
1194#120—21no—
1195#120—21no—
1196C4×Q8—21no—
1197C4×Q8D4×C8911yescharacteristic
1198C4×Q8C23×C8911yescharacteristic
1199C4×Q8C23×C8911yescharacteristic
1200C4×Q8C23×C8911yescharacteristic
1201C4×Q8C23×C8911yescharacteristic
1202C4×Q8C23×C8911yescharacteristic
1203C4×Q8C23×C8911yescharacteristic
1204C4×Q8C23×C8911yescharacteristic
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—21no—
1218C4×D4—21no—
1219C4×D4—21no—
1220C4×D4—21no—
1221C4×D4—21no—
1222C4×D4—21no—
1223C4×D4—21no—
1224C4×D4—21no—
1225C4×D4—21no—
1226C4×D4D4×C8911yescharacteristic
1227C4×D4D4×C8911yescharacteristic
1228C4×D4D4×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
1237C4×D4C23×C8911yescharacteristic
1238C4×D4C23×C8911yescharacteristic
1239C4×D4C23×C8911yescharacteristic
1240C4×D4C23×C8911yescharacteristic
1241C4×D4C23×C8911yescharacteristic
1242C4×D4C23×C8911yescharacteristic
1243C4×D4C23×C8911yescharacteristic
1244C4×D4C23×C8911yescharacteristic
1245C4×D4C23×C8911yescharacteristic
1246#117—21no—
1247#117—21no—
1248#117—21no—
1249#117—21no—
1250#117—21no—
1251#117—21no—
1252#117—21no—
1253#117—21no—
1254#117—21no—
1255#117—21no—
1256#117—21no—
1257#117—21no—
1258#117D4×C8911yescharacteristic
1259#117D4×C8911yescharacteristic
1260#117D4×C8911yescharacteristic
1261#117C23×C8911yescharacteristic
1262#117C23×C8911yescharacteristic
1263#117C23×C8911yescharacteristic
1264C2×C4⋊C4—21no—
1265C2×C4⋊C4—21no—
1266C2×C4⋊C4—21no—
1267C2×C4⋊C4C23×C8911yescharacteristic
1268C2×C4⋊C4C23×C8911yescharacteristic
1269C2×C4⋊C4C23×C8911yescharacteristic
1270C2×C22⋊C4—21no—
1271C2×C22⋊C4—21no—
1272C2×C22⋊C4—21no—
1273C2×C22⋊C4—21no—
1274C2×C22⋊C4—21no—
1275C2×C22⋊C4—21no—
1276C2×C22⋊C4—21no—
1277C2×C42—21no—
1278C2×C42—21no—
1279C2×C42—21no—
1280C2×C42C23×C8911yescharacteristic
1281C2×C42C23×C8911yescharacteristic
1282C2×C42C23×C8911yescharacteristic
1283#107C23×C8911yescharacteristic
1284#107C23×C8911yescharacteristic
1285#107C23×C8911yescharacteristic
1286#107C23×C8911yescharacteristic
1287#107C23×C8911yescharacteristic
1288#107C23×C8911yescharacteristic
1289#107C23×C8911yescharacteristic
1290#107C23×C8911yescharacteristic
1291#106C23×C8911yescharacteristic
1292#106C23×C8911yescharacteristic
1293#106C23×C8911yescharacteristic
1294#106C23×C8911yescharacteristic
1295#106C23×C8911yescharacteristic
1296#106C23×C8911yescharacteristic
1297#106C23×C8911yescharacteristic
1298#106C23×C8911yescharacteristic
1299C4⋊C8C23×C8911yescharacteristic
1300C4⋊C8C23×C8911yescharacteristic
1301C4⋊C8C23×C8911yescharacteristic
1302C4⋊C8C23×C8911yescharacteristic
1303C4⋊C8C23×C8911yescharacteristic
1304C4⋊C8C23×C8911yescharacteristic
1305#103C23×C8911yescharacteristic
1306#103C23×C8911yescharacteristic
1307#103C23×C8911yescharacteristic
1308#103C23×C8911yescharacteristic
1309#103C23×C8911yescharacteristic
1310#103C23×C8911yescharacteristic
1311#103C23×C8911yescharacteristic
1312#103C23×C8911yescharacteristic
1313#103C23×C8911yescharacteristic
1314#103C23×C8911yescharacteristic
1315#103C23×C8911yescharacteristic
1316#103C23×C8911yescharacteristic
1317#102C23×C8911yescharacteristic
1318#102C23×C8911yescharacteristic
1319#102C23×C8911yescharacteristic
1320#102C23×C8911yescharacteristic
1321#102C23×C8911yescharacteristic
1322#102C23×C8911yescharacteristic
1323#102C23×C8911yescharacteristic
1324#102C23×C8911yescharacteristic
1325#102C23×C8911yescharacteristic
1326#102C23×C8911yescharacteristic
1327#102C23×C8911yescharacteristic
1328#102C23×C8911yescharacteristic
1329#102C23×C8911yescharacteristic
1330#102C23×C8911yescharacteristic
1331#102C23×C8911yescharacteristic
1332#102C23×C8911yescharacteristic
1333#102C23×C8911yescharacteristic
1334#102C23×C8911yescharacteristic
1335#102C23×C8911yescharacteristic
1336#102C23×C8911yescharacteristic
1337C22⋊C8C23×C8911yescharacteristic
1338C22⋊C8C23×C8911yescharacteristic
1339C22⋊C8C23×C8911yescharacteristic
1340C22⋊C8C23×C8911yescharacteristic
1341C22⋊C8C23×C8911yescharacteristic
1342C22⋊C8C23×C8911yescharacteristic
1343#97C23×C8911yescharacteristic
1344#97C23×C8911yescharacteristic
1345#97C23×C8911yescharacteristic
1346#97C23×C8911yescharacteristic
1347#97C23×C8911yescharacteristic
1348#97C23×C8911yescharacteristic
1349#97C23×C8911yescharacteristic
1350#97C23×C8911yescharacteristic
1351C4×C8C23×C8911yescharacteristic
1352C4×C8C23×C8911yescharacteristic
1353C24—21no—
1354C24—21no—
1355C24—21no—
1356#41—22no—
1357#41—22no—
1358#41—22no—
1359#41—42no—
1360#41—41no—
1361#41—41no—
1362#41—41no—
1363#41—82no—
1364C2×Q8—21no—
1365C2×Q8—21no—
1366C2×Q8C2×D4×C8911yescharacteristic
1367C2×Q8C24×C8911yescharacteristic
1368C2×Q8C24×C8911yescharacteristic
1369C2×Q8C24×C8911yescharacteristic
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—41no—
1388C2×D4—41no—
1389C2×D4—41no—
1390C2×D4—44no—
1391C2×D4C2×D4×C8911yescharacteristic
1392C2×D4C2×D4×C8911yescharacteristic
1393C2×D4C2×D4×C8911yescharacteristic
1394C2×D4C24×C8911yescharacteristic
1395C2×D4C24×C8911yescharacteristic
1396C2×D4C24×C8911yescharacteristic
1397C2×D4C24×C8911yescharacteristic
1398C2×D4C24×C8911yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—44no—
1420C22×C4—82no—
1421C22×C4—82no—
1422C22×C4C2×D4×C8911yescharacteristic
1423C22×C4C2×D4×C8911yescharacteristic
1424C22×C4C2×D4×C8911yescharacteristic
1425C22×C4C2×D4×C8911yescharacteristic
1426C22×C4C2×D4×C8911yescharacteristic
1427C22×C4C2×D4×C8911yescharacteristic
1428C22×C4C24×C8911yescharacteristic
1429C22×C4C24×C8911yescharacteristic
1430C22×C4C24×C8911yescharacteristic
1431Q16—22no—
1432Q16—41no—
1433SD16—22no—
1434SD16—22no—
1435SD16—22no—
1436SD16—22no—
1437SD16—41no—
1438SD16—41no—
1439SD16—41no—
1440SD16—41no—
1441D8—22no—
1442D8—22no—
1443D8—22no—
1444D8—22no—
1445D8—41no—
1446D8#41×C8914yescomplemented
1447M16—22no—
1448M16—41no—
1449C2×C8—22no—
1450C2×C8—22no—
1451C2×C8—41no—
1452C2×C8—41no—
1453C2×C8C24×C8911yescharacteristic
1454C2×C8C24×C8911yescharacteristic
1455C2×C8C24×C8911yescharacteristic
1456C2×C8C24×C8911yescharacteristic
1457C2×C8C24×C8911yescharacteristic
1458C2×C8C24×C8911yescharacteristic
1459C2×C8C24×C8911yescharacteristic
1460C2×C8C24×C8911yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4C2×D4×C8911yescharacteristic
1489C4⋊C4C2×D4×C8911yescharacteristic
1490C4⋊C4C2×D4×C8911yescharacteristic
1491C4⋊C4C2×D4×C8911yescharacteristic
1492C4⋊C4C2×D4×C8911yescharacteristic
1493C4⋊C4C2×D4×C8911yescharacteristic
1494C4⋊C4C24×C8911yescharacteristic
1495C4⋊C4C24×C8911yescharacteristic
1496C4⋊C4C24×C8911yescharacteristic
1497C4⋊C4C24×C8911yescharacteristic
1498C4⋊C4C24×C8911yescharacteristic
1499C4⋊C4C24×C8911yescharacteristic
1500C4⋊C4C24×C8911yescharacteristic
1501C4⋊C4C24×C8911yescharacteristic
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⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4C2×D4×C8911yescharacteristic
1540C22⋊C4C2×D4×C8911yescharacteristic
1541C22⋊C4C2×D4×C8911yescharacteristic
1542C22⋊C4C2×D4×C8911yescharacteristic
1543C22⋊C4C2×D4×C8911yescharacteristic
1544C22⋊C4C2×D4×C8911yescharacteristic
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—21no—
1549C42—21no—
1550C42—21no—
1551C42—21no—
1552C42—21no—
1553C42—21no—
1554C42C2×D4×C8911yescharacteristic
1555C42C2×D4×C8911yescharacteristic
1556C42C2×D4×C8911yescharacteristic
1557C42C2×D4×C8911yescharacteristic
1558C42C2×D4×C8911yescharacteristic
1559C42C2×D4×C8911yescharacteristic
1560C42C24×C8911yescharacteristic
1561C42C24×C8911yescharacteristic
1562C42C24×C8911yescharacteristic
1563C42C24×C8911yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—42no—
1570C23—42no—
1571C23—42no—
1572C23—42no—
1573C23—42no—
1574C23—42no—
1575C23—81no—
1576C23—81no—
1577C23—81no—
1578C23C22×D4×C8911yescharacteristic
1579C23C22×D4×C8911yescharacteristic
1580C23C22×D4×C8911yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—41no—
1588Q8—81no—
1589Q8—81no—
1590D4—22no—
1591D4—22no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—41no—
1601D4—42no—
1602D4—42no—
1603D4—42no—
1604D4—42no—
1605D4—42no—
1606D4—42no—
1607D4—42no—
1608D4—42no—
1609D4—42no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—81no—
1615D4C2×#41×C8912yes—
1616D4C2×#41×C8912yes—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—41no—
1640C2×C4—42no—
1641C2×C4—42no—
1642C2×C4—42no—
1643C2×C4—42no—
1644C2×C4—42no—
1645C2×C4—42no—
1646C2×C4—42no—
1647C2×C4—42no—
1648C2×C4—42no—
1649C2×C4—42no—
1650C2×C4—42no—
1651C2×C4—42no—
1652C2×C4—81no—
1653C2×C4—81no—
1654C2×C4—81no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4C22×D4×C8911yescharacteristic
1661C2×C4C22×D4×C8911yescharacteristic
1662C2×C4C22×D4×C8911yescharacteristic
1663C2×C4C22×D4×C8911yescharacteristic
1664C2×C4C22×D4×C8911yescharacteristic
1665C2×C4C22×D4×C8911yescharacteristic
1666C2×C4C22×D4×C8911yescharacteristic
1667C2×C4C22×D4×C8911yescharacteristic
1668C2×C4C22×D4×C8911yescharacteristic
1669C2×C4C22×D4×C8911yescharacteristic
1670C2×C4C22×D4×C8911yescharacteristic
1671C2×C4C25×C8911yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—21no—
1678C8—21no—
1679C8C2×#41×C8912yes—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—21no—
1688C22—22no—
1689C22—22no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—84no—
1704C22—84no—
1705C22—84no—
1706C22#575×C8912yes—
1707C22C23×D4×C8911yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—21no—
1716C4—21no—
1717C4—21no—
1718C4—21no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4C22×#41×C8911yescharacteristic
1731C4#585×C8911yescharacteristic
1732C2—22no—
1733C2—41no—
1734C2—41no—
1735C2—42no—
1736C2—42no—
1737C2—81no—
1738C2—81no—
1739C2—81no—
1740C2D4×#41×C8911yescharacteristic
1741C2C2×#575×C8911yescharacteristic
1742C2C89×#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×#3481C2semidirect
2. C89×#3475C2semidirect
3. C89×#3401C2semidirect
4. C89×#3389C2semidirect
5. C89×#3376C2semidirect
6. C89×#3370C2semidirect
7. C89×#3347C2semidirect
8. C89×#3344C2semidirect
9. C89×#3337C2semidirect
10. C89×#3319C2semidirect
11. C89×#3314C2semidirect
12. C89×#3310C2semidirect
13. C89×#3307C2semidirect
14. C89×#3297C2semidirect
15. C89×#3296C2semidirect
16. C89×#3280C2semidirect
17. C89×#3267C2semidirect
18. C89×#3264C2semidirect
19. C89×#3183C2semidirect
20. C89×#3181C2semidirect
21. C89×#3180C2semidirect
22. C89×#3115C2semidirect
23. C89×#3114C2semidirect
24. C89×#3114C2semidirect
25. C89×#3111C2semidirect
26. C89×#3111C2semidirect
27. C89×#3110C2semidirect
28. C89×#2970C2semidirect
29. C4×AGL(1,ℤ/8)×C89C2semidirect
30. C89×#2943C2semidirect
31. C2×#442×C89C2semidirect
35. #559×C89C22semidirect
36. #556×C89C22semidirect
37. #555×C89C22semidirect
39. #554×C89C22semidirect
40. #554×C89C22semidirect
44. #553×C89C22semidirect
47. #552×C89C22semidirect
52. #547×C89C22semidirect
56. #546×C89C22semidirect
57. #546×C89C22semidirect
59. #533×C89C22semidirect
60. #532×C89C22semidirect
65. #529×C89C22semidirect
66. #529×C89C22semidirect
67. #529×C89C22semidirect
72. C4×#41×C89C22semidirect
73. C4×#41×C89C22semidirect
74. C4×#41×C89C22semidirect
77. C2×C4×D4×C89C22semidirect
78. C2×C4×D4×C89C22semidirect
80. #501×C89C22semidirect
81. #501×C89C22semidirect
82. #499×C89C22semidirect
83. #497×C89C22semidirect
85. #495×C89C22semidirect
86. #491×C89C22semidirect
87. #490×C89C22semidirect
88. #489×C89C22semidirect
89. #489×C89C22semidirect
90. #488×C89C22semidirect
91. #488×C89C22semidirect
92. #485×C89C22semidirect
93. #485×C89C22semidirect
94. #484×C89C22semidirect
95. #484×C89C22semidirect
96. #483×C89C22semidirect
97. #483×C89C22semidirect
98. #482×C89C22semidirect
99. #482×C89C22semidirect
100. #482×C89C22semidirect
101. #482×C89C22semidirect
103. #480×C89C22semidirect
104. #479×C89C22semidirect
105. #479×C89C22semidirect
106. #478×C89C22semidirect
107. #478×C89C22semidirect
108. #478×C89C22semidirect
109. #478×C89C22semidirect
110. #478×C89C22semidirect
111. #478×C89C22semidirect
112. #475×C89C22semidirect
113. #474×C89C22semidirect
114. #474×C89C22semidirect
115. #474×C89C22semidirect
116. #470×C89C22semidirect
118. #468×C89C22semidirect
119. #468×C89C22semidirect
120. #467×C89C22semidirect
121. #467×C89C22semidirect
122. #466×C89C22semidirect
123. #466×C89C22semidirect
126. #465×C89C22semidirect
127. #465×C89C22semidirect
128. #464×C89C22semidirect
129. #464×C89C22semidirect
132. #463×C89C22semidirect
133. #463×C89C22semidirect
134. #463×C89C22semidirect
135. #463×C89C22semidirect
136. #461×C89C22semidirect
137. #461×C89C22semidirect
138. #460×C89C22semidirect
140. #452×C89C22semidirect
141. #452×C89C22semidirect
144. #450×C89C22semidirect
145. #450×C89C22semidirect
148. #449×C89C22semidirect
149. #449×C89C22semidirect
152. #446×C89C22semidirect
153. #446×C89C22semidirect
159. #442×C89C22semidirect
160. #442×C89C22semidirect
161. #442×C89C22semidirect
162. #442×C89C22semidirect
163. #442×C89C22semidirect
164. #442×C89C22semidirect
165. #441×C89C22semidirect
166. #441×C89C22semidirect
167. #441×C89C22semidirect
168. #440×C89C22semidirect
169. #440×C89C22semidirect
170. #440×C89C22semidirect
171. #440×C89C22semidirect
172. #440×C89C22semidirect
173. #440×C89C22semidirect
174. #440×C89C22semidirect
175. #440×C89C22semidirect
176. #440×C89C22semidirect
177. #440×C89C22semidirect
178. C4×SD16×C89C22semidirect
179. C4×SD16×C89C22semidirect
181. C4×D8×C89C22semidirect
184. #435×C89C22semidirect
185. #435×C89C22semidirect
186. C8×D4×C89C22semidirect
187. C8×D4×C89C22semidirect
188. #432×C89C22semidirect
189. #432×C89C22semidirect
190. #432×C89C22semidirect
191. #428×C89C22semidirect
192. #427×C89C22semidirect
193. C2×#106×C89C22semidirect
194. #418×C89C22semidirect
195. #417×C89C22semidirect
196. #416×C89C22semidirect
197. #416×C89C22semidirect
199. C2×#102×C89C22semidirect
200. C4×M16×C89C22semidirect
201. C2×#97×C89C22semidirect
202. C2×#97×C89C22semidirect
574. D8×C89#41semidirect
860. #61454C89direct (N × H)
872. #3481C2×C89semidirect
873. #3475C2×C89semidirect
874. #3401C2×C89semidirect
875. #3389C2×C89semidirect
876. #3376C2×C89semidirect
877. #3370C2×C89semidirect
878. #3347C2×C89semidirect
879. #3344C2×C89semidirect
880. #3337C2×C89semidirect
881. #3319C2×C89semidirect
882. #3314C2×C89semidirect
883. #3310C2×C89semidirect
884. #3307C2×C89semidirect
885. #3297C2×C89semidirect
886. #3296C2×C89semidirect
887. #3280C2×C89semidirect
888. #3267C2×C89semidirect
889. #3264C2×C89semidirect
890. #3183C2×C89semidirect
891. #3181C2×C89semidirect
892. #3180C2×C89semidirect
893. #3115C2×C89semidirect
894. #3114C2×C89semidirect
895. #3114C2×C89semidirect
896. #3111C2×C89semidirect
897. #3111C2×C89semidirect
898. #3110C2×C89semidirect
899. #2970C2×C89semidirect
900. C4×AGL(1,ℤ/8)C2×C89semidirect
901. #2943C2×C89semidirect
902. C2×#442C2×C89semidirect
903. C89#61454direct (N × H)
907. #559C22×C89semidirect
908. #556C22×C89semidirect
909. #555C22×C89semidirect
911. #554C22×C89semidirect
912. #554C22×C89semidirect
916. #553C22×C89semidirect
919. #552C22×C89semidirect
924. #547C22×C89semidirect
928. #546C22×C89semidirect
929. #546C22×C89semidirect
931. #533C22×C89semidirect
932. #532C22×C89semidirect
937. #529C22×C89semidirect
938. #529C22×C89semidirect
939. #529C22×C89semidirect
944. C4×#41C22×C89semidirect
945. C4×#41C22×C89semidirect
946. C4×#41C22×C89semidirect
949. C2×C4×D4C22×C89semidirect
950. C2×C4×D4C22×C89semidirect
952. #501C22×C89semidirect
953. #501C22×C89semidirect
954. #499C22×C89semidirect
955. #497C22×C89semidirect
957. #495C22×C89semidirect
958. #491C22×C89semidirect
959. #490C22×C89semidirect
960. #489C22×C89semidirect
961. #489C22×C89semidirect
962. #488C22×C89semidirect
963. #488C22×C89semidirect
964. #485C22×C89semidirect
965. #485C22×C89semidirect
966. #484C22×C89semidirect
967. #484C22×C89semidirect
968. #483C22×C89semidirect
969. #483C22×C89semidirect
970. #482C22×C89semidirect
971. #482C22×C89semidirect
972. #482C22×C89semidirect
973. #482C22×C89semidirect
975. #480C22×C89semidirect
976. #479C22×C89semidirect
977. #479C22×C89semidirect
978. #478C22×C89semidirect
979. #478C22×C89semidirect
980. #478C22×C89semidirect
981. #478C22×C89semidirect
982. #478C22×C89semidirect
983. #478C22×C89semidirect
984. #475C22×C89semidirect
985. #474C22×C89semidirect
986. #474C22×C89semidirect
987. #474C22×C89semidirect
988. #470C22×C89semidirect
990. #468C22×C89semidirect
991. #468C22×C89semidirect
992. #467C22×C89semidirect
993. #467C22×C89semidirect
994. #466C22×C89semidirect
995. #466C22×C89semidirect
998. #465C22×C89semidirect
999. #465C22×C89semidirect
1000. #464C22×C89semidirect
1001. #464C22×C89semidirect
1004. #463C22×C89semidirect
1005. #463C22×C89semidirect
1006. #463C22×C89semidirect
1007. #463C22×C89semidirect
1008. #461C22×C89semidirect
1009. #461C22×C89semidirect
1010. #460C22×C89semidirect
1012. #452C22×C89semidirect
1013. #452C22×C89semidirect
1016. #450C22×C89semidirect
1017. #450C22×C89semidirect
1020. #449C22×C89semidirect
1021. #449C22×C89semidirect
1024. #446C22×C89semidirect
1025. #446C22×C89semidirect
1031. #442C22×C89semidirect
1032. #442C22×C89semidirect
1033. #442C22×C89semidirect
1034. #442C22×C89semidirect
1035. #442C22×C89semidirect
1036. #442C22×C89semidirect
1037. #441C22×C89semidirect
1038. #441C22×C89semidirect
1039. #441C22×C89semidirect
1040. #440C22×C89semidirect
1041. #440C22×C89semidirect
1042. #440C22×C89semidirect
1043. #440C22×C89semidirect
1044. #440C22×C89semidirect
1045. #440C22×C89semidirect
1046. #440C22×C89semidirect
1047. #440C22×C89semidirect
1048. #440C22×C89semidirect
1049. #440C22×C89semidirect
1050. C4×SD16C22×C89semidirect
1051. C4×SD16C22×C89semidirect
1053. C4×D8C22×C89semidirect
1056. #435C22×C89semidirect
1057. #435C22×C89semidirect
1058. C8×D4C22×C89semidirect
1059. C8×D4C22×C89semidirect
1060. #432C22×C89semidirect
1061. #432C22×C89semidirect
1062. #432C22×C89semidirect
1063. #428C22×C89semidirect
1064. #427C22×C89semidirect
1065. C2×#106C22×C89semidirect
1066. #418C22×C89semidirect
1067. #417C22×C89semidirect
1068. #416C22×C89semidirect
1069. #416C22×C89semidirect
1071. C2×#102C22×C89semidirect
1072. C4×M16C22×C89semidirect
1073. C2×#97C22×C89semidirect
1074. C2×#97C22×C89semidirect
1446. D8#41×C89semidirect

Maximal subgroups

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

subgroupindex
C89×#34812
C89×#34752
C89×#34012
C89×#33892
C89×#33762
C89×#33702
C89×#33472
C89×#33442
C89×#33372
C89×#33192
C89×#33142
C89×#33102
C89×#33072
C89×#32972
C89×#32962
C89×#32802
C89×#32672
C89×#32642
C89×#31832
C89×#31812
C89×#31802
C89×#31152
C89×#31142
C89×#31112
C89×#31102
C89×#29702
C4×AGL(1,ℤ/8)×C892
C89×#29432
C2×#442×C892
#6145489