Finite Group Databasebeta

← C89×#61506 #36439354

Subgroups — C89×#61506 #36439354

Order 22784.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3521C211yesmaximal, characteristic, complemented
2C89×#3519C211yesmaximal, characteristic, complemented
3C89×#3397C211yesmaximal, characteristic, complemented
4C89×#3389C211yesmaximal, characteristic, complemented
5C89×#3376C211yesmaximal, characteristic, complemented
6C89×#3366C211yesmaximal, characteristic, complemented
7C89×#3355C211yesmaximal, characteristic, complemented
8C89×#3350C211yesmaximal, characteristic, complemented
9C89×#3348C211yesmaximal, characteristic, complemented
10C89×#3324C211yesmaximal, characteristic, complemented
11C89×#3322C211yesmaximal, characteristic, complemented
12C89×#3319C211yesmaximal, characteristic, complemented
13C89×#3318C211yesmaximal, characteristic, complemented
14C89×#3310C211yesmaximal, characteristic, complemented
15C89×#3307C211yesmaximal, characteristic, complemented
16C89×#3272C211yesmaximal, characteristic, complemented
17C89×#3264C211yesmaximal, characteristic, complemented
18C89×#3264C211yesmaximal, characteristic, complemented
19C89×#3179C211yesmaximal, characteristic, complemented
20C89×#3174C211yesmaximal, characteristic, complemented
21C89×#3171C211yesmaximal, characteristic, complemented
22C89×#3123C211yesmaximal, characteristic, complemented
23C89×#3122C211yesmaximal, characteristic, complemented
24C89×#3119C211yesmaximal, characteristic, complemented
25C89×#3118C211yesmaximal, characteristic, complemented
26C89×#3115C211yesmaximal, characteristic, complemented
27C89×#3114C211yesmaximal, characteristic, complemented
28C89×#2967C211yesmaximal, characteristic, complemented
29C89×#2948C211yesmaximal, characteristic, complemented
30C89×#2946C211yesmaximal, characteristic, complemented
31C4×AGL(1,ℤ/8)×C89C211yesmaximal, characteristic, complemented
32C2×AGL(1,ℤ/8)×C89C2211yescharacteristic
33C2×AGL(1,ℤ/8)×C89C2211yescharacteristic
34C22×D8×C89C2211yescharacteristic
35#556×C89C2211yescharacteristic, complemented
36#556×C89C2211yescharacteristic, complemented
37#555×C89C2211yescharacteristic
38#554×C89C2211yescharacteristic, complemented
39#554×C89C2211yescharacteristic, complemented
40#553×C89—21no—
41#553×C89—21no—
42#553×C89C2211yescharacteristic
43#553×C89C2211yescharacteristic, complemented
44#553×C89C2211yescharacteristic, complemented
45#552×C89—21no—
46#552×C89C2211yescharacteristic, complemented
47#551×C89—21no—
48#551×C89—21no—
49#550×C89C2211yescharacteristic, complemented
50#547×C89C2211yescharacteristic, complemented
51#546×C89—21no—
52#546×C89—21no—
53#546×C89—21no—
54#546×C89C2211yescharacteristic, complemented
55#546×C89C2211yescharacteristic, complemented
56D42×C89C2211yescharacteristic
57D42×C89C2211yescharacteristic
58D42×C89C2211yescharacteristic, complemented
59#542×C89C2211yescharacteristic, complemented
60#541×C89C2211yescharacteristic, complemented
61#540×C89C2211yescharacteristic
62#540×C89C2211yescharacteristic, complemented
63#539×C89—21no—
64#538×C89—21no—
65#538×C89—21no—
66#538×C89—21no—
67#532×C89C2211yescharacteristic, complemented
68#529×C89—21no—
69#529×C89C2211yescharacteristic
70#529×C89C2211yescharacteristic, complemented
71C2×#126×C89—21no—
72#525×C89—21no—
73C2×#121×C89—21no—
74#520×C89C2211yescharacteristic, complemented
75#518×C89C2211yescharacteristic
76#518×C89C2211yescharacteristic, complemented
77#518×C89C2211yescharacteristic, complemented
78C4×#41×C89C2211yescharacteristic, complemented
79C2×C4×D4×C89C2211yescharacteristic, complemented
80#501×C89C2211yescharacteristic, complemented
81#501×C89C2211yescharacteristic, complemented
82#499×C89C2211yescharacteristic, complemented
83#496×C89C2211yescharacteristic, complemented
84#496×C89C2211yescharacteristic, complemented
85#492×C89C2211yescharacteristic, complemented
86#491×C89C2211yescharacteristic, complemented
87#490×C89C2211yescharacteristic, complemented
88#490×C89C2211yescharacteristic, complemented
89#489×C89C2211yescharacteristic, complemented
90#488×C89C2211yescharacteristic, complemented
91#486×C89C2211yescharacteristic, complemented
92#485×C89C2211yescharacteristic, complemented
93#485×C89C2211yescharacteristic, complemented
94#485×C89C2211yescharacteristic, complemented
95#483×C89C2211yescharacteristic, complemented
96#482×C89C2211yescharacteristic, complemented
97#482×C89C2211yescharacteristic, complemented
98#482×C89C2211yescharacteristic, complemented
99#482×C89C2211yescharacteristic, complemented
100#482×C89C2211yescharacteristic, complemented
101#481×C89C2211yescharacteristic, complemented
102#480×C89C2211yescharacteristic, complemented
103#480×C89C2211yescharacteristic, complemented
104#479×C89C2211yescharacteristic, complemented
105#478×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#476×C89C2211yescharacteristic, complemented
113#475×C89C2211yescharacteristic, complemented
114#474×C89C2211yescharacteristic, complemented
115#474×C89C2211yescharacteristic, complemented
116#469×C89C2211yescharacteristic, complemented
117#469×C89C2211yescharacteristic, complemented
118#469×C89C2211yescharacteristic, complemented
119#468×C89C2211yescharacteristic, complemented
120#468×C89C2211yescharacteristic, complemented
121#468×C89C2211yescharacteristic, complemented
122#468×C89C2211yescharacteristic, complemented
123#468×C89C2211yescharacteristic, complemented
124#466×C89C2211yescharacteristic, complemented
125#465×C89C2211yescharacteristic, complemented
126#465×C89C2211yescharacteristic, complemented
127#465×C89C2211yescharacteristic, complemented
128#463×C89C2211yescharacteristic
129#463×C89C2211yescharacteristic
130#463×C89C2211yescharacteristic, complemented
131#463×C89C2211yescharacteristic, complemented
132#461×C89C2211yescharacteristic, complemented
133#461×C89C2211yescharacteristic, complemented
134#460×C89C2211yescharacteristic, complemented
135#460×C89C2211yescharacteristic, complemented
136#459×C89C2211yescharacteristic, complemented
137#459×C89C2211yescharacteristic, complemented
138#459×C89C2211yescharacteristic, complemented
139#459×C89C2211yescharacteristic, complemented
140#450×C89C2211yescharacteristic
141#450×C89C2211yescharacteristic
142#450×C89C2211yescharacteristic, complemented
143#450×C89C2211yescharacteristic, complemented
144#449×C89C2211yescharacteristic, complemented
145#449×C89C2211yescharacteristic, complemented
146#449×C89C2211yescharacteristic, complemented
147#449×C89C2211yescharacteristic, complemented
148#447×C89C2211yescharacteristic
149#447×C89C2211yescharacteristic
150#447×C89C2211yescharacteristic, complemented
151#447×C89C2211yescharacteristic, complemented
152#446×C89C2211yescharacteristic, complemented
153#446×C89C2211yescharacteristic, complemented
154#442×C89C2211yescharacteristic
155#442×C89C2211yescharacteristic
156#442×C89C2211yescharacteristic
157#442×C89C2211yescharacteristic
158#442×C89C2211yescharacteristic, complemented
159#442×C89C2211yescharacteristic, complemented
160#442×C89C2211yescharacteristic, complemented
161#442×C89C2211yescharacteristic, complemented
162#442×C89C2211yescharacteristic, complemented
163#440×C89C2211yescharacteristic, complemented
164#440×C89C2211yescharacteristic, complemented
165#440×C89C2211yescharacteristic, complemented
166#440×C89C2211yescharacteristic, complemented
167#440×C89C2211yescharacteristic, complemented
168#440×C89C2211yescharacteristic, complemented
169#440×C89C2211yescharacteristic, complemented
170C4×SD16×C89C2211yescharacteristic, complemented
171C4×SD16×C89C2211yescharacteristic, complemented
172C4×SD16×C89C2211yescharacteristic, complemented
173C4×SD16×C89C2211yescharacteristic, complemented
174C4×SD16×C89C2211yescharacteristic, complemented
175C4×D8×C89C2211yescharacteristic
176C4×D8×C89C2211yescharacteristic
177C4×D8×C89C2211yescharacteristic, complemented
178C4×D8×C89C2211yescharacteristic, complemented
179C4×D8×C89C2211yescharacteristic, complemented
180C4×D8×C89C2211yescharacteristic, complemented
181C4×D8×C89C2211yescharacteristic, complemented
182#436×C89C2211yescharacteristic, complemented
183#436×C89C2211yescharacteristic, complemented
184#435×C89C2211yescharacteristic, complemented
185#435×C89C2211yescharacteristic, complemented
186#435×C89C2211yescharacteristic, complemented
187#435×C89C2211yescharacteristic, complemented
188#433×C89C2211yescharacteristic, complemented
189#433×C89C2211yescharacteristic, complemented
190#432×C89C2211yescharacteristic, complemented
191#428×C89C2211yescharacteristic, complemented
192#428×C89C2211yescharacteristic, complemented
193#427×C89C2211yescharacteristic, complemented
194#418×C89C2211yescharacteristic
195#418×C89C2211yescharacteristic, complemented
196#418×C89C2211yescharacteristic, complemented
197#417×C89C2211yescharacteristic, complemented
198#416×C89C2211yescharacteristic, complemented
199C2×#102×C89C2211yescharacteristic, complemented
200#405×C89C2211yescharacteristic, complemented
201#405×C89C2211yescharacteristic, complemented
202C4×M16×C89C2211yescharacteristic, complemented
203C2×#41×C89—21no—
204C2×#41×C89—21no—
205C2×#41×C89C2311yescharacteristic
206C2×#41×C89C2311yescharacteristic
207C22×D4×C89—21no—
208C22×D4×C89—21no—
209C22×D4×C89—21no—
210C22×D4×C89C2311yescharacteristic
211C22×D4×C89C2311yescharacteristic
212C22×D4×C89C2311yescharacteristic
213C22×D4×C89C2311yescharacteristic
214C23×C4×C89—21no—
215AGL(1,ℤ/8)×C89—24no—
216AGL(1,ℤ/8)×C89—24no—
217C2×SD16×C89C2311yescharacteristic
218C2×SD16×C89C2311yescharacteristic
219C2×SD16×C89C2311yescharacteristic
220C2×SD16×C89C2311yescharacteristic
221C2×SD16×C89C2311yescharacteristic
222C2×SD16×C89C2311yescharacteristic
223C2×SD16×C89C2311yescharacteristic
224C2×SD16×C89C2311yescharacteristic
225C2×D8×C89—24no—
226C2×D8×C89C2311yescharacteristic
227C2×D8×C89C2311yescharacteristic
228C2×D8×C89C2311yescharacteristic
229C2×D8×C89C2311yescharacteristic
230C2×D8×C89C2311yescharacteristic
231C2×D8×C89C2311yescharacteristic
232C2×D8×C89C2311yescharacteristic
233C2×D8×C89C2311yescharacteristic
234C2×M16×C89C2311yescharacteristic
235C2×M16×C89C2311yescharacteristic
236C2×M16×C89C2311yescharacteristic
237C2×M16×C89C2311yescharacteristic
238C22×C8×C89C2311yescharacteristic
239C22×C8×C89C2311yescharacteristic
240C4⋊Q8×C89C2311yescharacteristic
241C4⋊Q8×C89C2311yescharacteristic
242C4⋊Q8×C89C2311yescharacteristic
243#127×C89C2311yescharacteristic
244#127×C89C2311yescharacteristic
245#127×C89C2311yescharacteristic
246#126×C89—21no—
247#126×C89—21no—
248#126×C89—21no—
249#126×C89—21no—
250#126×C89—21no—
251#126×C89—21no—
252#126×C89—21no—
253#126×C89—21no—
254#126×C89—21no—
255#126×C89—21no—
256#126×C89—21no—
257#126×C89—21no—
258#126×C89D411yescharacteristic
259#126×C89D411yescharacteristic
260#125×C89—21no—
261#125×C89—21no—
262#125×C89—21no—
263#125×C89D411yescharacteristic
264#125×C89C2311yescharacteristic
265#125×C89C2311yescharacteristic
266#125×C89C2311yescharacteristic
267#125×C89C2311yescharacteristic
268#124×C89—21no—
269#124×C89—21no—
270#124×C89—21no—
271#124×C89—21no—
272#124×C89—21no—
273#124×C89D411yescharacteristic
274#124×C89C2311yescharacteristic
275#124×C89C2311yescharacteristic
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×C89D411yescharacteristic
291#123×C89D411yescharacteristic
292C22⋊Q8×C89—21no—
293C22⋊Q8×C89—21no—
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×C89D411yescharacteristic
301C22⋊Q8×C89C2311yescharacteristic
302C22⋊Q8×C89C2311yescharacteristic
303C22⋊Q8×C89C2311yescharacteristic
304C22⋊Q8×C89C2311yescharacteristic
305#121×C89—21no—
306#121×C89—21no—
307#121×C89—21no—
308#121×C89—21no—
309#121×C89—21no—
310#121×C89—21no—
311#121×C89—21no—
312#121×C89—21no—
313#121×C89—21no—
314#121×C89—21no—
315#121×C89—21no—
316#121×C89—21no—
317#121×C89—21no—
318#121×C89—21no—
319#121×C89—21no—
320#121×C89—21no—
321#121×C89—21no—
322#121×C89—21no—
323#121×C89D411yescharacteristic
324#121×C89C2311yescharacteristic
325#121×C89C2311yescharacteristic
326#121×C89C2311yescharacteristic
327#121×C89C2311yescharacteristic
328#121×C89C2311yescharacteristic
329#121×C89C2311yescharacteristic
330#121×C89C2311yescharacteristic
331#121×C89C2311yescharacteristic
332#120×C89—21no—
333#120×C89—21no—
334#120×C89—21no—
335#120×C89—21no—
336#120×C89—21no—
337#120×C89—21no—
338#120×C89—21no—
339#120×C89—21no—
340C4×Q8×C89—21no—
341C4×Q8×C89C2311yescharacteristic
342C4×Q8×C89C2311yescharacteristic
343C4×Q8×C89C2311yescharacteristic
344C4×Q8×C89C2311yescharacteristic
345C4×Q8×C89C2311yescharacteristic
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×C89—21no—
355C4×D4×C89—21no—
356C4×D4×C89—21no—
357C4×D4×C89—21no—
358C4×D4×C89—21no—
359C4×D4×C89—21no—
360C4×D4×C89—21no—
361C4×D4×C89—21no—
362C4×D4×C89—21no—
363C4×D4×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
374C4×D4×C89C2311yescharacteristic
375C4×D4×C89C2311yescharacteristic
376C4×D4×C89C2311yescharacteristic
377C4×D4×C89C2311yescharacteristic
378C4×D4×C89C2311yescharacteristic
379C4×D4×C89C2311yescharacteristic
380C4×D4×C89C2311yescharacteristic
381C4×D4×C89C2311yescharacteristic
382#117×C89—21no—
383#117×C89—21no—
384#117×C89—21no—
385#117×C89—21no—
386#117×C89—21no—
387#117×C89—21no—
388#117×C89C2311yescharacteristic
389#117×C89C2311yescharacteristic
390#117×C89C2311yescharacteristic
391#117×C89C2311yescharacteristic
392#117×C89C2311yescharacteristic
393#117×C89C2311yescharacteristic
394C2×C4⋊C4×C89—21no—
395C2×C4⋊C4×C89—21no—
396C2×C4⋊C4×C89—21no—
397C2×C4⋊C4×C89—21no—
398C2×C4⋊C4×C89C2311yescharacteristic
399C2×C4⋊C4×C89C2311yescharacteristic
400C2×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×C22⋊C4×C89—21no—
406C2×C22⋊C4×C89—21no—
407C2×C22⋊C4×C89—21no—
408C2×C22⋊C4×C89—21no—
409C2×C42×C89—21no—
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#102×C89C2311yescharacteristic
442#102×C89C2311yescharacteristic
443#102×C89C2311yescharacteristic
444#102×C89C2311yescharacteristic
445#102×C89C2311yescharacteristic
446#102×C89C2311yescharacteristic
447#102×C89C2311yescharacteristic
448#102×C89C2311yescharacteristic
449#102×C89C2311yescharacteristic
450#102×C89C2311yescharacteristic
451#102×C89C2311yescharacteristic
452#102×C89C2311yescharacteristic
453#102×C89C2311yescharacteristic
454#102×C89C2311yescharacteristic
455#102×C89C2311yescharacteristic
456#102×C89C2311yescharacteristic
457#102×C89C2311yescharacteristic
458#102×C89C2311yescharacteristic
459#102×C89C2311yescharacteristic
460#102×C89C2311yescharacteristic
461#102×C89C2311yescharacteristic
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
477C4×C8×C89C2311yescharacteristic
478C4×C8×C89C2311yescharacteristic
479C4×C8×C89C2311yescharacteristic
480C4×C8×C89C2311yescharacteristic
481C24×C89—21no—
482C24×C89—21no—
483C24×C89—21no—
484C24×C89—21no—
485#41×C89—22no—
486#41×C89—22no—
487#41×C89—41no—
488#41×C89—41no—
489#41×C89—82no—
490#41×C89—82no—
491C2×Q8×C89—21no—
492C2×Q8×C89—21no—
493C2×Q8×C89C2×D411yescharacteristic
494C2×Q8×C89C2411yescharacteristic
495C2×Q8×C89C2411yescharacteristic
496C2×D4×C89—22no—
497C2×D4×C89—22no—
498C2×D4×C89—22no—
499C2×D4×C89—22no—
500C2×D4×C89—21no—
501C2×D4×C89—21no—
502C2×D4×C89—21no—
503C2×D4×C89—21no—
504C2×D4×C89—21no—
505C2×D4×C89—21no—
506C2×D4×C89—21no—
507C2×D4×C89—21no—
508C2×D4×C89—21no—
509C2×D4×C89—21no—
510C2×D4×C89—21no—
511C2×D4×C89—21no—
512C2×D4×C89—21no—
513C2×D4×C89—21no—
514C2×D4×C89—21no—
515C2×D4×C89—21no—
516C2×D4×C89—21no—
517C2×D4×C89—21no—
518C2×D4×C89—21no—
519C2×D4×C89—21no—
520C2×D4×C89—41no—
521C2×D4×C89—41no—
522C2×D4×C89—41no—
523C2×D4×C89—41no—
524C2×D4×C89—82no—
525C2×D4×C89—82no—
526C2×D4×C89—82no—
527C2×D4×C89C2×D411yescharacteristic
528C2×D4×C89C2×D411yescharacteristic
529C2×D4×C89C2×D411yescharacteristic
530C2×D4×C89C2411yescharacteristic
531C2×D4×C89C2411yescharacteristic
532C2×D4×C89C2411yescharacteristic
533C2×D4×C89C2411yescharacteristic
534C2×D4×C89C2411yescharacteristic
535C2×D4×C89C2411yescharacteristic
536C22×C4×C89—21no—
537C22×C4×C89—21no—
538C22×C4×C89—21no—
539C22×C4×C89—21no—
540C22×C4×C89—21no—
541C22×C4×C89—21no—
542C22×C4×C89—21no—
543C22×C4×C89—21no—
544C22×C4×C89—21no—
545C22×C4×C89—21no—
546C22×C4×C89—21no—
547C22×C4×C89—21no—
548C22×C4×C89—21no—
549C22×C4×C89—21no—
550C22×C4×C89—21no—
551C22×C4×C89—21no—
552C22×C4×C89—21no—
553C22×C4×C89—21no—
554C22×C4×C89—21no—
555C22×C4×C89—21no—
556C22×C4×C89—82no—
557C22×C4×C89C2×D411yescharacteristic
558C22×C4×C89C2×D411yescharacteristic
559C22×C4×C89C2411yescharacteristic
560C22×C4×C89C2411yescharacteristic
561C22×C4×C89C2411yescharacteristic
562SD16×C89—22no—
563SD16×C89—22no—
564SD16×C89—22no—
565SD16×C89—22no—
566SD16×C89—41no—
567SD16×C89—41no—
568SD16×C89—41no—
569SD16×C89—41no—
570D8×C89—22no—
571D8×C89—22no—
572D8×C89—22no—
573D8×C89—22no—
574D8×C89—22no—
575D8×C89—41no—
576D8×C89—41no—
577D8×C89#4114yescomplemented
578M16×C89—22no—
579M16×C89—22no—
580M16×C89—41no—
581M16×C89—41no—
582C2×C8×C89—22no—
583C2×C8×C89—41no—
584C2×C8×C89C2411yescharacteristic
585C2×C8×C89C2411yescharacteristic
586C2×C8×C89C2411yescharacteristic
587C2×C8×C89C2411yescharacteristic
588C2×C8×C89C2411yescharacteristic
589C2×C8×C89C2411yescharacteristic
590C2×C8×C89C2411yescharacteristic
591C2×C8×C89C2411yescharacteristic
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×C89C2×D411yescharacteristic
615C4⋊C4×C89C2×D411yescharacteristic
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×C89C2×D411yescharacteristic
623C4⋊C4×C89C2×D411yescharacteristic
624C4⋊C4×C89C2411yescharacteristic
625C4⋊C4×C89C2411yescharacteristic
626C4⋊C4×C89C2411yescharacteristic
627C4⋊C4×C89C2411yescharacteristic
628C4⋊C4×C89C2411yescharacteristic
629C4⋊C4×C89C2411yescharacteristic
630C4⋊C4×C89C2411yescharacteristic
631C4⋊C4×C89C2411yescharacteristic
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×C89—21no—
668C22⋊C4×C89C2×D411yescharacteristic
669C22⋊C4×C89C2×D411yescharacteristic
670C22⋊C4×C89C2×D411yescharacteristic
671C22⋊C4×C89C2×D411yescharacteristic
672C22⋊C4×C89C2×D411yescharacteristic
673C22⋊C4×C89C2×D411yescharacteristic
674C22⋊C4×C89C2×D411yescharacteristic
675C22⋊C4×C89C2×D411yescharacteristic
676C22⋊C4×C89C2×D411yescharacteristic
677C22⋊C4×C89C2×D411yescharacteristic
678C42×C89—21no—
679C42×C89—21no—
680C42×C89—21no—
681C42×C89—21no—
682C42×C89—21no—
683C42×C89—21no—
684C42×C89—21no—
685C42×C89—21no—
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—21no—
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×C89—81no—
707C23×C89—81no—
708C23×C89—81no—
709C23×C89—81no—
710C23×C89C22×D411yescharacteristic
711C23×C89C22×D411yescharacteristic
712C23×C89C22×D411yescharacteristic
713Q8×C89—21no—
714Q8×C89—21no—
715Q8×C89—21no—
716Q8×C89—21no—
717Q8×C89—41no—
718Q8×C89—81no—
719Q8×C89—81no—
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—21no—
729D4×C89—21no—
730D4×C89—41no—
731D4×C89—41no—
732D4×C89—41no—
733D4×C89—42no—
734D4×C89—42no—
735D4×C89—42no—
736D4×C89—42no—
737D4×C89—42no—
738D4×C89—42no—
739D4×C89—42no—
740D4×C89—42no—
741D4×C89—42no—
742D4×C89—81no—
743D4×C89—81no—
744D4×C89—81no—
745D4×C89—81no—
746D4×C89—81no—
747D4×C89—81no—
748D4×C89—81no—
749D4×C89—81no—
750D4×C89—81no—
751D4×C89—81no—
752D4×C89—81no—
753D4×C89C2×#4112yes—
754D4×C89C2×#4112yes—
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—21no—
764C2×C4×C89—21no—
765C2×C4×C89—21no—
766C2×C4×C89—21no—
767C2×C4×C89—21no—
768C2×C4×C89—21no—
769C2×C4×C89—21no—
770C2×C4×C89—21no—
771C2×C4×C89—41no—
772C2×C4×C89—41no—
773C2×C4×C89—42no—
774C2×C4×C89—42no—
775C2×C4×C89—42no—
776C2×C4×C89—42no—
777C2×C4×C89—81no—
778C2×C4×C89—81no—
779C2×C4×C89—81no—
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×C89—81no—
789C2×C4×C89—81no—
790C2×C4×C89—81no—
791C2×C4×C89—81no—
792C2×C4×C89—81no—
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×C89C22×D411yescharacteristic
800C2×C4×C89C22×D411yescharacteristic
801C2×C4×C89C22×D411yescharacteristic
802C2×C4×C89C22×D411yescharacteristic
803C2×C4×C89C22×D411yescharacteristic
804C2×C4×C89C2511yescharacteristic
805C8×C89—21no—
806C8×C89—21no—
807C8×C89—21no—
808C8×C89—21no—
809C8×C89—21no—
810C8×C89—21no—
811C8×C89—21no—
812C8×C89C2×#4112yes—
813C22×C89—21no—
814C22×C89—21no—
815C22×C89—21no—
816C22×C89—21no—
817C22×C89—21no—
818C22×C89—21no—
819C22×C89—21no—
820C22×C89—21no—
821C22×C89—21no—
822C22×C89—22no—
823C22×C89—22no—
824C22×C89—41no—
825C22×C89—41no—
826C22×C89—41no—
827C22×C89—41no—
828C22×C89—41no—
829C22×C89—41no—
830C22×C89—41no—
831C22×C89—41no—
832C22×C89—41no—
833C22×C89—41no—
834C22×C89—41no—
835C22×C89—41no—
836C22×C89—41no—
837C22×C89—41no—
838C22×C89—41no—
839C22×C89—41no—
840C22×C89—84no—
841C22×C89—162no—
842C22×C89—162no—
843C22×C89—162no—
844C22×C89C23×D411yescharacteristic
845C4×C89—21no—
846C4×C89—21no—
847C4×C89—21no—
848C4×C89—21no—
849C4×C89—21no—
850C4×C89—21no—
851C4×C89—21no—
852C4×C89—21no—
853C4×C89—21no—
854C4×C89—21no—
855C4×C89—21no—
856C4×C89—41no—
857C4×C89—41no—
858C4×C89—41no—
859C4×C89—41no—
860C4×C89—41no—
861C4×C89—41no—
862C4×C89—41no—
863C4×C89—41no—
864C4×C89—41no—
865C4×C89—41no—
866C4×C89C22×#4111yescharacteristic
867C4×C89#58511yescharacteristic
868#61506C8911yesmaximal, characteristic, direct product factor, Sylow
869C2×C89—41no—
870C2×C89—41no—
871C2×C89—41no—
872C2×C89—42no—
873C2×C89—42no—
874C2×C89—81no—
875C2×C89—81no—
876C2×C89—81no—
877C2×C89—81no—
878C2×C89D4×#4111yescharacteristic
879C2×C89#358511yescharacteristic
880C2×C89#358511yescharacteristic
881#3521C2×C8911yescharacteristic, complemented
882#3519C2×C8911yescharacteristic, complemented
883#3397C2×C8911yescharacteristic, complemented
884#3389C2×C8911yescharacteristic, complemented
885#3376C2×C8911yescharacteristic, complemented
886#3366C2×C8911yescharacteristic, complemented
887#3355C2×C8911yescharacteristic, complemented
888#3350C2×C8911yescharacteristic, complemented
889#3348C2×C8911yescharacteristic, complemented
890#3324C2×C8911yescharacteristic, complemented
891#3322C2×C8911yescharacteristic, complemented
892#3319C2×C8911yescharacteristic, complemented
893#3318C2×C8911yescharacteristic, complemented
894#3310C2×C8911yescharacteristic, complemented
895#3307C2×C8911yescharacteristic, complemented
896#3272C2×C8911yescharacteristic, complemented
897#3264C2×C8911yescharacteristic, complemented
898#3264C2×C8911yescharacteristic, complemented
899#3179C2×C8911yescharacteristic, complemented
900#3174C2×C8911yescharacteristic, complemented
901#3171C2×C8911yescharacteristic, complemented
902#3123C2×C8911yescharacteristic, complemented
903#3122C2×C8911yescharacteristic, complemented
904#3119C2×C8911yescharacteristic, complemented
905#3118C2×C8911yescharacteristic, complemented
906#3115C2×C8911yescharacteristic, complemented
907#3114C2×C8911yescharacteristic, complemented
908#2967C2×C8911yescharacteristic, complemented
909#2948C2×C8911yescharacteristic, complemented
910#2946C2×C8911yescharacteristic, complemented
911C4×AGL(1,ℤ/8)C2×C8911yescharacteristic, complemented
912C89#6150611yescharacteristic, direct product factor, Sylow
913C2×AGL(1,ℤ/8)C22×C8911yescharacteristic
914C2×AGL(1,ℤ/8)C22×C8911yescharacteristic
915C22×D8C22×C8911yescharacteristic
916#556C22×C8911yescharacteristic, complemented
917#556C22×C8911yescharacteristic, complemented
918#555C22×C8911yescharacteristic
919#554C22×C8911yescharacteristic, complemented
920#554C22×C8911yescharacteristic, complemented
921#553—21no—
922#553—21no—
923#553C22×C8911yescharacteristic
924#553C22×C8911yescharacteristic, complemented
925#553C22×C8911yescharacteristic, complemented
926#552—21no—
927#552C22×C8911yescharacteristic, complemented
928#551—21no—
929#551—21no—
930#550C22×C8911yescharacteristic, complemented
931#547C22×C8911yescharacteristic, complemented
932#546—21no—
933#546—21no—
934#546—21no—
935#546C22×C8911yescharacteristic, complemented
936#546C22×C8911yescharacteristic, complemented
937D42C22×C8911yescharacteristic
938D42C22×C8911yescharacteristic
939D42C22×C8911yescharacteristic, complemented
940#542C22×C8911yescharacteristic, complemented
941#541C22×C8911yescharacteristic, complemented
942#540C22×C8911yescharacteristic
943#540C22×C8911yescharacteristic, complemented
944#539—21no—
945#538—21no—
946#538—21no—
947#538—21no—
948#532C22×C8911yescharacteristic, complemented
949#529—21no—
950#529C22×C8911yescharacteristic
951#529C22×C8911yescharacteristic, complemented
952C2×#126—21no—
953#525—21no—
954C2×#121—21no—
955#520C22×C8911yescharacteristic, complemented
956#518C22×C8911yescharacteristic
957#518C22×C8911yescharacteristic, complemented
958#518C22×C8911yescharacteristic, complemented
959C4×#41C22×C8911yescharacteristic, complemented
960C2×C4×D4C22×C8911yescharacteristic, complemented
961#501C22×C8911yescharacteristic, complemented
962#501C22×C8911yescharacteristic, complemented
963#499C22×C8911yescharacteristic, complemented
964#496C22×C8911yescharacteristic, complemented
965#496C22×C8911yescharacteristic, complemented
966#492C22×C8911yescharacteristic, complemented
967#491C22×C8911yescharacteristic, complemented
968#490C22×C8911yescharacteristic, complemented
969#490C22×C8911yescharacteristic, complemented
970#489C22×C8911yescharacteristic, complemented
971#488C22×C8911yescharacteristic, complemented
972#486C22×C8911yescharacteristic, complemented
973#485C22×C8911yescharacteristic, complemented
974#485C22×C8911yescharacteristic, complemented
975#485C22×C8911yescharacteristic, complemented
976#483C22×C8911yescharacteristic, complemented
977#482C22×C8911yescharacteristic, complemented
978#482C22×C8911yescharacteristic, complemented
979#482C22×C8911yescharacteristic, complemented
980#482C22×C8911yescharacteristic, complemented
981#482C22×C8911yescharacteristic, complemented
982#481C22×C8911yescharacteristic, complemented
983#480C22×C8911yescharacteristic, complemented
984#480C22×C8911yescharacteristic, complemented
985#479C22×C8911yescharacteristic, complemented
986#478C22×C8911yescharacteristic, complemented
987#478C22×C8911yescharacteristic, complemented
988#478C22×C8911yescharacteristic, complemented
989#478C22×C8911yescharacteristic, complemented
990#478C22×C8911yescharacteristic, complemented
991#478C22×C8911yescharacteristic, complemented
992#478C22×C8911yescharacteristic, complemented
993#476C22×C8911yescharacteristic, complemented
994#475C22×C8911yescharacteristic, complemented
995#474C22×C8911yescharacteristic, complemented
996#474C22×C8911yescharacteristic, complemented
997#469C22×C8911yescharacteristic, complemented
998#469C22×C8911yescharacteristic, complemented
999#469C22×C8911yescharacteristic, complemented
1000#468C22×C8911yescharacteristic, complemented
1001#468C22×C8911yescharacteristic, complemented
1002#468C22×C8911yescharacteristic, complemented
1003#468C22×C8911yescharacteristic, complemented
1004#468C22×C8911yescharacteristic, complemented
1005#466C22×C8911yescharacteristic, complemented
1006#465C22×C8911yescharacteristic, complemented
1007#465C22×C8911yescharacteristic, complemented
1008#465C22×C8911yescharacteristic, complemented
1009#463C22×C8911yescharacteristic
1010#463C22×C8911yescharacteristic
1011#463C22×C8911yescharacteristic, complemented
1012#463C22×C8911yescharacteristic, complemented
1013#461C22×C8911yescharacteristic, complemented
1014#461C22×C8911yescharacteristic, complemented
1015#460C22×C8911yescharacteristic, complemented
1016#460C22×C8911yescharacteristic, complemented
1017#459C22×C8911yescharacteristic, complemented
1018#459C22×C8911yescharacteristic, complemented
1019#459C22×C8911yescharacteristic, complemented
1020#459C22×C8911yescharacteristic, complemented
1021#450C22×C8911yescharacteristic
1022#450C22×C8911yescharacteristic
1023#450C22×C8911yescharacteristic, complemented
1024#450C22×C8911yescharacteristic, complemented
1025#449C22×C8911yescharacteristic, complemented
1026#449C22×C8911yescharacteristic, complemented
1027#449C22×C8911yescharacteristic, complemented
1028#449C22×C8911yescharacteristic, complemented
1029#447C22×C8911yescharacteristic
1030#447C22×C8911yescharacteristic
1031#447C22×C8911yescharacteristic, complemented
1032#447C22×C8911yescharacteristic, complemented
1033#446C22×C8911yescharacteristic, complemented
1034#446C22×C8911yescharacteristic, complemented
1035#442C22×C8911yescharacteristic
1036#442C22×C8911yescharacteristic
1037#442C22×C8911yescharacteristic
1038#442C22×C8911yescharacteristic
1039#442C22×C8911yescharacteristic, complemented
1040#442C22×C8911yescharacteristic, complemented
1041#442C22×C8911yescharacteristic, complemented
1042#442C22×C8911yescharacteristic, complemented
1043#442C22×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
1050#440C22×C8911yescharacteristic, complemented
1051C4×SD16C22×C8911yescharacteristic, complemented
1052C4×SD16C22×C8911yescharacteristic, complemented
1053C4×SD16C22×C8911yescharacteristic, complemented
1054C4×SD16C22×C8911yescharacteristic, complemented
1055C4×SD16C22×C8911yescharacteristic, complemented
1056C4×D8C22×C8911yescharacteristic
1057C4×D8C22×C8911yescharacteristic
1058C4×D8C22×C8911yescharacteristic, complemented
1059C4×D8C22×C8911yescharacteristic, complemented
1060C4×D8C22×C8911yescharacteristic, complemented
1061C4×D8C22×C8911yescharacteristic, complemented
1062C4×D8C22×C8911yescharacteristic, complemented
1063#436C22×C8911yescharacteristic, complemented
1064#436C22×C8911yescharacteristic, complemented
1065#435C22×C8911yescharacteristic, complemented
1066#435C22×C8911yescharacteristic, complemented
1067#435C22×C8911yescharacteristic, complemented
1068#435C22×C8911yescharacteristic, complemented
1069#433C22×C8911yescharacteristic, complemented
1070#433C22×C8911yescharacteristic, complemented
1071#432C22×C8911yescharacteristic, complemented
1072#428C22×C8911yescharacteristic, complemented
1073#428C22×C8911yescharacteristic, complemented
1074#427C22×C8911yescharacteristic, complemented
1075#418C22×C8911yescharacteristic
1076#418C22×C8911yescharacteristic, complemented
1077#418C22×C8911yescharacteristic, complemented
1078#417C22×C8911yescharacteristic, complemented
1079#416C22×C8911yescharacteristic, complemented
1080C2×#102C22×C8911yescharacteristic, complemented
1081#405C22×C8911yescharacteristic, complemented
1082#405C22×C8911yescharacteristic, complemented
1083C4×M16C22×C8911yescharacteristic, complemented
1084C2×#41—21no—
1085C2×#41—21no—
1086C2×#41C23×C8911yescharacteristic
1087C2×#41C23×C8911yescharacteristic
1088C22×D4—21no—
1089C22×D4—21no—
1090C22×D4—21no—
1091C22×D4C23×C8911yescharacteristic
1092C22×D4C23×C8911yescharacteristic
1093C22×D4C23×C8911yescharacteristic
1094C22×D4C23×C8911yescharacteristic
1095C23×C4—21no—
1096AGL(1,ℤ/8)—24no—
1097AGL(1,ℤ/8)—24no—
1098C2×SD16C23×C8911yescharacteristic
1099C2×SD16C23×C8911yescharacteristic
1100C2×SD16C23×C8911yescharacteristic
1101C2×SD16C23×C8911yescharacteristic
1102C2×SD16C23×C8911yescharacteristic
1103C2×SD16C23×C8911yescharacteristic
1104C2×SD16C23×C8911yescharacteristic
1105C2×SD16C23×C8911yescharacteristic
1106C2×D8—24no—
1107C2×D8C23×C8911yescharacteristic
1108C2×D8C23×C8911yescharacteristic
1109C2×D8C23×C8911yescharacteristic
1110C2×D8C23×C8911yescharacteristic
1111C2×D8C23×C8911yescharacteristic
1112C2×D8C23×C8911yescharacteristic
1113C2×D8C23×C8911yescharacteristic
1114C2×D8C23×C8911yescharacteristic
1115C2×M16C23×C8911yescharacteristic
1116C2×M16C23×C8911yescharacteristic
1117C2×M16C23×C8911yescharacteristic
1118C2×M16C23×C8911yescharacteristic
1119C22×C8C23×C8911yescharacteristic
1120C22×C8C23×C8911yescharacteristic
1121C4⋊Q8C23×C8911yescharacteristic
1122C4⋊Q8C23×C8911yescharacteristic
1123C4⋊Q8C23×C8911yescharacteristic
1124#127C23×C8911yescharacteristic
1125#127C23×C8911yescharacteristic
1126#127C23×C8911yescharacteristic
1127#126—21no—
1128#126—21no—
1129#126—21no—
1130#126—21no—
1131#126—21no—
1132#126—21no—
1133#126—21no—
1134#126—21no—
1135#126—21no—
1136#126—21no—
1137#126—21no—
1138#126—21no—
1139#126D4×C8911yescharacteristic
1140#126D4×C8911yescharacteristic
1141#125—21no—
1142#125—21no—
1143#125—21no—
1144#125D4×C8911yescharacteristic
1145#125C23×C8911yescharacteristic
1146#125C23×C8911yescharacteristic
1147#125C23×C8911yescharacteristic
1148#125C23×C8911yescharacteristic
1149#124—21no—
1150#124—21no—
1151#124—21no—
1152#124—21no—
1153#124—21no—
1154#124D4×C8911yescharacteristic
1155#124C23×C8911yescharacteristic
1156#124C23×C8911yescharacteristic
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—21no—
1161#123—21no—
1162#123—21no—
1163#123—21no—
1164#123—21no—
1165#123—21no—
1166#123—21no—
1167#123—21no—
1168#123—21no—
1169#123—21no—
1170#123—21no—
1171#123D4×C8911yescharacteristic
1172#123D4×C8911yescharacteristic
1173C22⋊Q8—21no—
1174C22⋊Q8—21no—
1175C22⋊Q8—21no—
1176C22⋊Q8—21no—
1177C22⋊Q8—21no—
1178C22⋊Q8—21no—
1179C22⋊Q8—21no—
1180C22⋊Q8—21no—
1181C22⋊Q8D4×C8911yescharacteristic
1182C22⋊Q8C23×C8911yescharacteristic
1183C22⋊Q8C23×C8911yescharacteristic
1184C22⋊Q8C23×C8911yescharacteristic
1185C22⋊Q8C23×C8911yescharacteristic
1186#121—21no—
1187#121—21no—
1188#121—21no—
1189#121—21no—
1190#121—21no—
1191#121—21no—
1192#121—21no—
1193#121—21no—
1194#121—21no—
1195#121—21no—
1196#121—21no—
1197#121—21no—
1198#121—21no—
1199#121—21no—
1200#121—21no—
1201#121—21no—
1202#121—21no—
1203#121—21no—
1204#121D4×C8911yescharacteristic
1205#121C23×C8911yescharacteristic
1206#121C23×C8911yescharacteristic
1207#121C23×C8911yescharacteristic
1208#121C23×C8911yescharacteristic
1209#121C23×C8911yescharacteristic
1210#121C23×C8911yescharacteristic
1211#121C23×C8911yescharacteristic
1212#121C23×C8911yescharacteristic
1213#120—21no—
1214#120—21no—
1215#120—21no—
1216#120—21no—
1217#120—21no—
1218#120—21no—
1219#120—21no—
1220#120—21no—
1221C4×Q8—21no—
1222C4×Q8C23×C8911yescharacteristic
1223C4×Q8C23×C8911yescharacteristic
1224C4×Q8C23×C8911yescharacteristic
1225C4×Q8C23×C8911yescharacteristic
1226C4×Q8C23×C8911yescharacteristic
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4—21no—
1233C4×D4—21no—
1234C4×D4—21no—
1235C4×D4—21no—
1236C4×D4—21no—
1237C4×D4—21no—
1238C4×D4—21no—
1239C4×D4—21no—
1240C4×D4—21no—
1241C4×D4—21no—
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4C23×C8911yescharacteristic
1245C4×D4C23×C8911yescharacteristic
1246C4×D4C23×C8911yescharacteristic
1247C4×D4C23×C8911yescharacteristic
1248C4×D4C23×C8911yescharacteristic
1249C4×D4C23×C8911yescharacteristic
1250C4×D4C23×C8911yescharacteristic
1251C4×D4C23×C8911yescharacteristic
1252C4×D4C23×C8911yescharacteristic
1253C4×D4C23×C8911yescharacteristic
1254C4×D4C23×C8911yescharacteristic
1255C4×D4C23×C8911yescharacteristic
1256C4×D4C23×C8911yescharacteristic
1257C4×D4C23×C8911yescharacteristic
1258C4×D4C23×C8911yescharacteristic
1259C4×D4C23×C8911yescharacteristic
1260C4×D4C23×C8911yescharacteristic
1261C4×D4C23×C8911yescharacteristic
1262C4×D4C23×C8911yescharacteristic
1263#117—21no—
1264#117—21no—
1265#117—21no—
1266#117—21no—
1267#117—21no—
1268#117—21no—
1269#117C23×C8911yescharacteristic
1270#117C23×C8911yescharacteristic
1271#117C23×C8911yescharacteristic
1272#117C23×C8911yescharacteristic
1273#117C23×C8911yescharacteristic
1274#117C23×C8911yescharacteristic
1275C2×C4⋊C4—21no—
1276C2×C4⋊C4—21no—
1277C2×C4⋊C4—21no—
1278C2×C4⋊C4—21no—
1279C2×C4⋊C4C23×C8911yescharacteristic
1280C2×C4⋊C4C23×C8911yescharacteristic
1281C2×C22⋊C4—21no—
1282C2×C22⋊C4—21no—
1283C2×C22⋊C4—21no—
1284C2×C22⋊C4—21no—
1285C2×C22⋊C4—21no—
1286C2×C22⋊C4—21no—
1287C2×C22⋊C4—21no—
1288C2×C22⋊C4—21no—
1289C2×C22⋊C4—21no—
1290C2×C42—21no—
1291C2×C42C23×C8911yescharacteristic
1292#107C23×C8911yescharacteristic
1293#107C23×C8911yescharacteristic
1294#107C23×C8911yescharacteristic
1295#107C23×C8911yescharacteristic
1296#107C23×C8911yescharacteristic
1297#107C23×C8911yescharacteristic
1298#107C23×C8911yescharacteristic
1299#107C23×C8911yescharacteristic
1300#106C23×C8911yescharacteristic
1301#106C23×C8911yescharacteristic
1302#106C23×C8911yescharacteristic
1303#106C23×C8911yescharacteristic
1304#106C23×C8911yescharacteristic
1305#106C23×C8911yescharacteristic
1306#106C23×C8911yescharacteristic
1307#106C23×C8911yescharacteristic
1308C4⋊C8C23×C8911yescharacteristic
1309C4⋊C8C23×C8911yescharacteristic
1310C4⋊C8C23×C8911yescharacteristic
1311C4⋊C8C23×C8911yescharacteristic
1312C4⋊C8C23×C8911yescharacteristic
1313C4⋊C8C23×C8911yescharacteristic
1314#103C23×C8911yescharacteristic
1315#103C23×C8911yescharacteristic
1316#103C23×C8911yescharacteristic
1317#103C23×C8911yescharacteristic
1318#103C23×C8911yescharacteristic
1319#103C23×C8911yescharacteristic
1320#103C23×C8911yescharacteristic
1321#103C23×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
1337#102C23×C8911yescharacteristic
1338#102C23×C8911yescharacteristic
1339#102C23×C8911yescharacteristic
1340#102C23×C8911yescharacteristic
1341#102C23×C8911yescharacteristic
1342#102C23×C8911yescharacteristic
1343#102C23×C8911yescharacteristic
1344#102C23×C8911yescharacteristic
1345#102C23×C8911yescharacteristic
1346C22⋊C8C23×C8911yescharacteristic
1347C22⋊C8C23×C8911yescharacteristic
1348C22⋊C8C23×C8911yescharacteristic
1349C22⋊C8C23×C8911yescharacteristic
1350C22⋊C8C23×C8911yescharacteristic
1351C22⋊C8C23×C8911yescharacteristic
1352#97C23×C8911yescharacteristic
1353#97C23×C8911yescharacteristic
1354#97C23×C8911yescharacteristic
1355#97C23×C8911yescharacteristic
1356#97C23×C8911yescharacteristic
1357#97C23×C8911yescharacteristic
1358C4×C8C23×C8911yescharacteristic
1359C4×C8C23×C8911yescharacteristic
1360C4×C8C23×C8911yescharacteristic
1361C4×C8C23×C8911yescharacteristic
1362C24—21no—
1363C24—21no—
1364C24—21no—
1365C24—21no—
1366#41—22no—
1367#41—22no—
1368#41—41no—
1369#41—41no—
1370#41—82no—
1371#41—82no—
1372C2×Q8—21no—
1373C2×Q8—21no—
1374C2×Q8C2×D4×C8911yescharacteristic
1375C2×Q8C24×C8911yescharacteristic
1376C2×Q8C24×C8911yescharacteristic
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—82no—
1406C2×D4—82no—
1407C2×D4—82no—
1408C2×D4C2×D4×C8911yescharacteristic
1409C2×D4C2×D4×C8911yescharacteristic
1410C2×D4C2×D4×C8911yescharacteristic
1411C2×D4C24×C8911yescharacteristic
1412C2×D4C24×C8911yescharacteristic
1413C2×D4C24×C8911yescharacteristic
1414C2×D4C24×C8911yescharacteristic
1415C2×D4C24×C8911yescharacteristic
1416C2×D4C24×C8911yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—82no—
1438C22×C4C2×D4×C8911yescharacteristic
1439C22×C4C2×D4×C8911yescharacteristic
1440C22×C4C24×C8911yescharacteristic
1441C22×C4C24×C8911yescharacteristic
1442C22×C4C24×C8911yescharacteristic
1443SD16—22no—
1444SD16—22no—
1445SD16—22no—
1446SD16—22no—
1447SD16—41no—
1448SD16—41no—
1449SD16—41no—
1450SD16—41no—
1451D8—22no—
1452D8—22no—
1453D8—22no—
1454D8—22no—
1455D8—22no—
1456D8—41no—
1457D8—41no—
1458D8#41×C8914yescomplemented
1459M16—22no—
1460M16—22no—
1461M16—41no—
1462M16—41no—
1463C2×C8—22no—
1464C2×C8—41no—
1465C2×C8C24×C8911yescharacteristic
1466C2×C8C24×C8911yescharacteristic
1467C2×C8C24×C8911yescharacteristic
1468C2×C8C24×C8911yescharacteristic
1469C2×C8C24×C8911yescharacteristic
1470C2×C8C24×C8911yescharacteristic
1471C2×C8C24×C8911yescharacteristic
1472C2×C8C24×C8911yescharacteristic
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⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4C2×D4×C8911yescharacteristic
1496C4⋊C4C2×D4×C8911yescharacteristic
1497C4⋊C4C2×D4×C8911yescharacteristic
1498C4⋊C4C2×D4×C8911yescharacteristic
1499C4⋊C4C2×D4×C8911yescharacteristic
1500C4⋊C4C2×D4×C8911yescharacteristic
1501C4⋊C4C2×D4×C8911yescharacteristic
1502C4⋊C4C2×D4×C8911yescharacteristic
1503C4⋊C4C2×D4×C8911yescharacteristic
1504C4⋊C4C2×D4×C8911yescharacteristic
1505C4⋊C4C24×C8911yescharacteristic
1506C4⋊C4C24×C8911yescharacteristic
1507C4⋊C4C24×C8911yescharacteristic
1508C4⋊C4C24×C8911yescharacteristic
1509C4⋊C4C24×C8911yescharacteristic
1510C4⋊C4C24×C8911yescharacteristic
1511C4⋊C4C24×C8911yescharacteristic
1512C4⋊C4C24×C8911yescharacteristic
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⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4C2×D4×C8911yescharacteristic
1550C22⋊C4C2×D4×C8911yescharacteristic
1551C22⋊C4C2×D4×C8911yescharacteristic
1552C22⋊C4C2×D4×C8911yescharacteristic
1553C22⋊C4C2×D4×C8911yescharacteristic
1554C22⋊C4C2×D4×C8911yescharacteristic
1555C22⋊C4C2×D4×C8911yescharacteristic
1556C22⋊C4C2×D4×C8911yescharacteristic
1557C22⋊C4C2×D4×C8911yescharacteristic
1558C22⋊C4C2×D4×C8911yescharacteristic
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—21no—
1566C42—21no—
1567C42C2×D4×C8911yescharacteristic
1568C42C2×D4×C8911yescharacteristic
1569C42C24×C8911yescharacteristic
1570C42C24×C8911yescharacteristic
1571C42C24×C8911yescharacteristic
1572C42C24×C8911yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—42no—
1580C23—42no—
1581C23—42no—
1582C23—42no—
1583C23—42no—
1584C23—81no—
1585C23—81no—
1586C23—81no—
1587C23—81no—
1588C23—81no—
1589C23—81no—
1590C23—81no—
1591C23C22×D4×C8911yescharacteristic
1592C23C22×D4×C8911yescharacteristic
1593C23C22×D4×C8911yescharacteristic
1594Q8—21no—
1595Q8—21no—
1596Q8—21no—
1597Q8—21no—
1598Q8—41no—
1599Q8—81no—
1600Q8—81no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—21no—
1609D4—21no—
1610D4—21no—
1611D4—41no—
1612D4—41no—
1613D4—41no—
1614D4—42no—
1615D4—42no—
1616D4—42no—
1617D4—42no—
1618D4—42no—
1619D4—42no—
1620D4—42no—
1621D4—42no—
1622D4—42no—
1623D4—81no—
1624D4—81no—
1625D4—81no—
1626D4—81no—
1627D4—81no—
1628D4—81no—
1629D4—81no—
1630D4—81no—
1631D4—81no—
1632D4—81no—
1633D4—81no—
1634D4C2×#41×C8912yes—
1635D4C2×#41×C8912yes—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—42no—
1655C2×C4—42no—
1656C2×C4—42no—
1657C2×C4—42no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—81no—
1661C2×C4—81no—
1662C2×C4—81no—
1663C2×C4—81no—
1664C2×C4—81no—
1665C2×C4—81no—
1666C2×C4—81no—
1667C2×C4—81no—
1668C2×C4—81no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4—81no—
1674C2×C4C22×D4×C8911yescharacteristic
1675C2×C4C22×D4×C8911yescharacteristic
1676C2×C4C22×D4×C8911yescharacteristic
1677C2×C4C22×D4×C8911yescharacteristic
1678C2×C4C22×D4×C8911yescharacteristic
1679C2×C4C22×D4×C8911yescharacteristic
1680C2×C4C22×D4×C8911yescharacteristic
1681C2×C4C22×D4×C8911yescharacteristic
1682C2×C4C22×D4×C8911yescharacteristic
1683C2×C4C22×D4×C8911yescharacteristic
1684C2×C4C22×D4×C8911yescharacteristic
1685C2×C4C25×C8911yescharacteristic
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—21no—
1693C8C2×#41×C8912yes—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—21no—
1703C22—22no—
1704C22—22no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—84no—
1722C22—162no—
1723C22—162no—
1724C22—162no—
1725C22C23×D4×C8911yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—21no—
1732C4—21no—
1733C4—21no—
1734C4—21no—
1735C4—21no—
1736C4—21no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4C22×#41×C8911yescharacteristic
1748C4#585×C8911yescharacteristic
1749C2—41no—
1750C2—41no—
1751C2—41no—
1752C2—42no—
1753C2—42no—
1754C2—81no—
1755C2—81no—
1756C2—81no—
1757C2—81no—
1758C2D4×#41×C8911yescharacteristic
1759C2C89×#358511yescharacteristic
1760C2C89×#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×#3521C2semidirect
2. C89×#3519C2semidirect
3. C89×#3397C2semidirect
4. C89×#3389C2semidirect
5. C89×#3376C2semidirect
6. C89×#3366C2semidirect
7. C89×#3355C2semidirect
8. C89×#3350C2semidirect
9. C89×#3348C2semidirect
10. C89×#3324C2semidirect
11. C89×#3322C2semidirect
12. C89×#3319C2semidirect
13. C89×#3318C2semidirect
14. C89×#3310C2semidirect
15. C89×#3307C2semidirect
16. C89×#3272C2semidirect
17. C89×#3264C2semidirect
18. C89×#3264C2semidirect
19. C89×#3179C2semidirect
20. C89×#3174C2semidirect
21. C89×#3171C2semidirect
22. C89×#3123C2semidirect
23. C89×#3122C2semidirect
24. C89×#3119C2semidirect
25. C89×#3118C2semidirect
26. C89×#3115C2semidirect
27. C89×#3114C2semidirect
28. C89×#2967C2semidirect
29. C89×#2948C2semidirect
30. C89×#2946C2semidirect
31. C4×AGL(1,ℤ/8)×C89C2semidirect
35. #556×C89C22semidirect
36. #556×C89C22semidirect
38. #554×C89C22semidirect
39. #554×C89C22semidirect
43. #553×C89C22semidirect
44. #553×C89C22semidirect
46. #552×C89C22semidirect
49. #550×C89C22semidirect
50. #547×C89C22semidirect
54. #546×C89C22semidirect
55. #546×C89C22semidirect
58. D42×C89C22semidirect
59. #542×C89C22semidirect
60. #541×C89C22semidirect
62. #540×C89C22semidirect
67. #532×C89C22semidirect
70. #529×C89C22semidirect
74. #520×C89C22semidirect
76. #518×C89C22semidirect
77. #518×C89C22semidirect
78. C4×#41×C89C22semidirect
79. C2×C4×D4×C89C22semidirect
80. #501×C89C22semidirect
81. #501×C89C22semidirect
82. #499×C89C22semidirect
83. #496×C89C22semidirect
84. #496×C89C22semidirect
85. #492×C89C22semidirect
86. #491×C89C22semidirect
87. #490×C89C22semidirect
88. #490×C89C22semidirect
89. #489×C89C22semidirect
90. #488×C89C22semidirect
91. #486×C89C22semidirect
92. #485×C89C22semidirect
93. #485×C89C22semidirect
94. #485×C89C22semidirect
95. #483×C89C22semidirect
96. #482×C89C22semidirect
97. #482×C89C22semidirect
98. #482×C89C22semidirect
99. #482×C89C22semidirect
100. #482×C89C22semidirect
101. #481×C89C22semidirect
102. #480×C89C22semidirect
103. #480×C89C22semidirect
104. #479×C89C22semidirect
105. #478×C89C22semidirect
106. #478×C89C22semidirect
107. #478×C89C22semidirect
108. #478×C89C22semidirect
109. #478×C89C22semidirect
110. #478×C89C22semidirect
111. #478×C89C22semidirect
112. #476×C89C22semidirect
113. #475×C89C22semidirect
114. #474×C89C22semidirect
115. #474×C89C22semidirect
116. #469×C89C22semidirect
117. #469×C89C22semidirect
118. #469×C89C22semidirect
119. #468×C89C22semidirect
120. #468×C89C22semidirect
121. #468×C89C22semidirect
122. #468×C89C22semidirect
123. #468×C89C22semidirect
124. #466×C89C22semidirect
125. #465×C89C22semidirect
126. #465×C89C22semidirect
127. #465×C89C22semidirect
130. #463×C89C22semidirect
131. #463×C89C22semidirect
132. #461×C89C22semidirect
133. #461×C89C22semidirect
134. #460×C89C22semidirect
135. #460×C89C22semidirect
136. #459×C89C22semidirect
137. #459×C89C22semidirect
138. #459×C89C22semidirect
139. #459×C89C22semidirect
142. #450×C89C22semidirect
143. #450×C89C22semidirect
144. #449×C89C22semidirect
145. #449×C89C22semidirect
146. #449×C89C22semidirect
147. #449×C89C22semidirect
150. #447×C89C22semidirect
151. #447×C89C22semidirect
152. #446×C89C22semidirect
153. #446×C89C22semidirect
158. #442×C89C22semidirect
159. #442×C89C22semidirect
160. #442×C89C22semidirect
161. #442×C89C22semidirect
162. #442×C89C22semidirect
163. #440×C89C22semidirect
164. #440×C89C22semidirect
165. #440×C89C22semidirect
166. #440×C89C22semidirect
167. #440×C89C22semidirect
168. #440×C89C22semidirect
169. #440×C89C22semidirect
170. C4×SD16×C89C22semidirect
171. C4×SD16×C89C22semidirect
172. C4×SD16×C89C22semidirect
173. C4×SD16×C89C22semidirect
174. C4×SD16×C89C22semidirect
177. C4×D8×C89C22semidirect
178. C4×D8×C89C22semidirect
179. C4×D8×C89C22semidirect
180. C4×D8×C89C22semidirect
181. C4×D8×C89C22semidirect
182. #436×C89C22semidirect
183. #436×C89C22semidirect
184. #435×C89C22semidirect
185. #435×C89C22semidirect
186. #435×C89C22semidirect
187. #435×C89C22semidirect
188. #433×C89C22semidirect
189. #433×C89C22semidirect
190. #432×C89C22semidirect
191. #428×C89C22semidirect
192. #428×C89C22semidirect
193. #427×C89C22semidirect
195. #418×C89C22semidirect
196. #418×C89C22semidirect
197. #417×C89C22semidirect
198. #416×C89C22semidirect
199. C2×#102×C89C22semidirect
200. #405×C89C22semidirect
201. #405×C89C22semidirect
202. C4×M16×C89C22semidirect
577. D8×C89#41semidirect
868. #61506C89direct (N × H)
881. #3521C2×C89semidirect
882. #3519C2×C89semidirect
883. #3397C2×C89semidirect
884. #3389C2×C89semidirect
885. #3376C2×C89semidirect
886. #3366C2×C89semidirect
887. #3355C2×C89semidirect
888. #3350C2×C89semidirect
889. #3348C2×C89semidirect
890. #3324C2×C89semidirect
891. #3322C2×C89semidirect
892. #3319C2×C89semidirect
893. #3318C2×C89semidirect
894. #3310C2×C89semidirect
895. #3307C2×C89semidirect
896. #3272C2×C89semidirect
897. #3264C2×C89semidirect
898. #3264C2×C89semidirect
899. #3179C2×C89semidirect
900. #3174C2×C89semidirect
901. #3171C2×C89semidirect
902. #3123C2×C89semidirect
903. #3122C2×C89semidirect
904. #3119C2×C89semidirect
905. #3118C2×C89semidirect
906. #3115C2×C89semidirect
907. #3114C2×C89semidirect
908. #2967C2×C89semidirect
909. #2948C2×C89semidirect
910. #2946C2×C89semidirect
911. C4×AGL(1,ℤ/8)C2×C89semidirect
912. C89#61506direct (N × H)
916. #556C22×C89semidirect
917. #556C22×C89semidirect
919. #554C22×C89semidirect
920. #554C22×C89semidirect
924. #553C22×C89semidirect
925. #553C22×C89semidirect
927. #552C22×C89semidirect
930. #550C22×C89semidirect
931. #547C22×C89semidirect
935. #546C22×C89semidirect
936. #546C22×C89semidirect
939. D42C22×C89semidirect
940. #542C22×C89semidirect
941. #541C22×C89semidirect
943. #540C22×C89semidirect
948. #532C22×C89semidirect
951. #529C22×C89semidirect
955. #520C22×C89semidirect
957. #518C22×C89semidirect
958. #518C22×C89semidirect
959. C4×#41C22×C89semidirect
960. C2×C4×D4C22×C89semidirect
961. #501C22×C89semidirect
962. #501C22×C89semidirect
963. #499C22×C89semidirect
964. #496C22×C89semidirect
965. #496C22×C89semidirect
966. #492C22×C89semidirect
967. #491C22×C89semidirect
968. #490C22×C89semidirect
969. #490C22×C89semidirect
970. #489C22×C89semidirect
971. #488C22×C89semidirect
972. #486C22×C89semidirect
973. #485C22×C89semidirect
974. #485C22×C89semidirect
975. #485C22×C89semidirect
976. #483C22×C89semidirect
977. #482C22×C89semidirect
978. #482C22×C89semidirect
979. #482C22×C89semidirect
980. #482C22×C89semidirect
981. #482C22×C89semidirect
982. #481C22×C89semidirect
983. #480C22×C89semidirect
984. #480C22×C89semidirect
985. #479C22×C89semidirect
986. #478C22×C89semidirect
987. #478C22×C89semidirect
988. #478C22×C89semidirect
989. #478C22×C89semidirect
990. #478C22×C89semidirect
991. #478C22×C89semidirect
992. #478C22×C89semidirect
993. #476C22×C89semidirect
994. #475C22×C89semidirect
995. #474C22×C89semidirect
996. #474C22×C89semidirect
997. #469C22×C89semidirect
998. #469C22×C89semidirect
999. #469C22×C89semidirect
1000. #468C22×C89semidirect
1001. #468C22×C89semidirect
1002. #468C22×C89semidirect
1003. #468C22×C89semidirect
1004. #468C22×C89semidirect
1005. #466C22×C89semidirect
1006. #465C22×C89semidirect
1007. #465C22×C89semidirect
1008. #465C22×C89semidirect
1011. #463C22×C89semidirect
1012. #463C22×C89semidirect
1013. #461C22×C89semidirect
1014. #461C22×C89semidirect
1015. #460C22×C89semidirect
1016. #460C22×C89semidirect
1017. #459C22×C89semidirect
1018. #459C22×C89semidirect
1019. #459C22×C89semidirect
1020. #459C22×C89semidirect
1023. #450C22×C89semidirect
1024. #450C22×C89semidirect
1025. #449C22×C89semidirect
1026. #449C22×C89semidirect
1027. #449C22×C89semidirect
1028. #449C22×C89semidirect
1031. #447C22×C89semidirect
1032. #447C22×C89semidirect
1033. #446C22×C89semidirect
1034. #446C22×C89semidirect
1039. #442C22×C89semidirect
1040. #442C22×C89semidirect
1041. #442C22×C89semidirect
1042. #442C22×C89semidirect
1043. #442C22×C89semidirect
1044. #440C22×C89semidirect
1045. #440C22×C89semidirect
1046. #440C22×C89semidirect
1047. #440C22×C89semidirect
1048. #440C22×C89semidirect
1049. #440C22×C89semidirect
1050. #440C22×C89semidirect
1051. C4×SD16C22×C89semidirect
1052. C4×SD16C22×C89semidirect
1053. C4×SD16C22×C89semidirect
1054. C4×SD16C22×C89semidirect
1055. C4×SD16C22×C89semidirect
1058. C4×D8C22×C89semidirect
1059. C4×D8C22×C89semidirect
1060. C4×D8C22×C89semidirect
1061. C4×D8C22×C89semidirect
1062. C4×D8C22×C89semidirect
1063. #436C22×C89semidirect
1064. #436C22×C89semidirect
1065. #435C22×C89semidirect
1066. #435C22×C89semidirect
1067. #435C22×C89semidirect
1068. #435C22×C89semidirect
1069. #433C22×C89semidirect
1070. #433C22×C89semidirect
1071. #432C22×C89semidirect
1072. #428C22×C89semidirect
1073. #428C22×C89semidirect
1074. #427C22×C89semidirect
1076. #418C22×C89semidirect
1077. #418C22×C89semidirect
1078. #417C22×C89semidirect
1079. #416C22×C89semidirect
1080. C2×#102C22×C89semidirect
1081. #405C22×C89semidirect
1082. #405C22×C89semidirect
1083. C4×M16C22×C89semidirect
1458. D8#41×C89semidirect

Maximal subgroups

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

subgroupindex
C89×#35212
C89×#35192
C89×#33972
C89×#33892
C89×#33762
C89×#33662
C89×#33552
C89×#33502
C89×#33482
C89×#33242
C89×#33222
C89×#33192
C89×#33182
C89×#33102
C89×#33072
C89×#32722
C89×#32642
C89×#31792
C89×#31742
C89×#31712
C89×#31232
C89×#31222
C89×#31192
C89×#31182
C89×#31152
C89×#31142
C89×#29672
C89×#29482
C89×#29462
C4×AGL(1,ℤ/8)×C892
#6150689