Finite Group Databasebeta

← C89×#62892 #36440740

Subgroups — C89×#62892 #36440740

Order 22784.

8158 conjugacy classes of subgroups.

The subgroup lattice has 1598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3558C212yesmaximal, complemented
2C89×#3543C214yesmaximal, complemented
3C89×#3542C214yesmaximal, complemented
4C89×#3537C214yesmaximal, complemented
5C89×#3537C212yesmaximal, complemented
6C89×#3534C218yesmaximal, complemented
7C89×#3534C214yesmaximal, complemented
8C89×#3532C218yesmaximal, complemented
9C89×#3519C212yesmaximal, complemented
10C89×#3513C214yesmaximal, complemented
11C89×#3505C212yesmaximal, complemented
12C89×#3496C211yesmaximal, characteristic, complemented
13C89×#3490C212yesmaximal, complemented
14C89×#3488C212yesmaximal, complemented
15C89×#3484C214yesmaximal, complemented
16C89×#3484C214yesmaximal, complemented
17C2×#546×C89C211yesmaximal, characteristic, complemented
18C2×D42×C89C212yesmaximal, complemented
19C89×#3459C211yesmaximal, characteristic, complemented
20C2×#534×C89C212yesmaximal, complemented
21C2×H(5,𝔽2)×C89C2212yescomplemented
22C2×H(5,𝔽2)×C89C2212yescomplemented
23C22×#41×C89C2211yescharacteristic, complemented
24C23×D4×C89C2211yescharacteristic, complemented
25C23×D4×C89C2214yescomplemented
26C23×D4×C89C2212yescomplemented
27#562×C89C2218yescomplemented
28#562×C89C2214yescomplemented
29H(3,𝔽4)×C89C2214yescomplemented
30#560×C89C2218yescomplemented
31#560×C89C2218yescomplemented
32#560×C89C2218yescomplemented
33#560×C89C2218yescomplemented
34#559×C89C2214yescomplemented
35#555×C89C2212yescomplemented
36#554×C89C2212yescomplemented
37#553×C89C2218yescomplemented
38#553×C89C2214yescomplemented
39#553×C89C2214yescomplemented
40#553×C89C2218yescomplemented
41#553×C89C2214yescomplemented
42#552×C89C2214yescomplemented
43#551×C89C2218yescomplemented
44#551×C89C2218yescomplemented
45#551×C89C2218yescomplemented
46#551×C89C2218yescomplemented
47#550×C89C2214yescomplemented
48#550×C89C2212yescomplemented
49#548×C89C2214yescomplemented
50#547×C89C2214yescomplemented
51#546×C89C2214yescomplemented
52#546×C89C2214yescomplemented
53#546×C89C2214yescomplemented
54#546×C89C2218yescomplemented
55#546×C89C2218yescomplemented
56#546×C89C2218yescomplemented
57#546×C89C2218yescomplemented
58#546×C89C2218yescomplemented
59#546×C89C2214yescomplemented
60#546×C89C2218yescomplemented
61#546×C89C2218yescomplemented
62#546×C89C2214yescomplemented
63#546×C89C2218yescomplemented
64#546×C89C2218yescomplemented
65#546×C89C2218yescomplemented
66#546×C89C2214yescomplemented
67D42×C89C2214yescomplemented
68D42×C89C2218yescomplemented
69D42×C89C2214yescomplemented
70D42×C89C2214yescomplemented
71D42×C89C2212yescomplemented
72D42×C89C2218yescomplemented
73D42×C89C2218yescomplemented
74D42×C89C2218yescomplemented
75D42×C89C2218yescomplemented
76D42×C89C2214yescomplemented
77D42×C89C2214yescomplemented
78D42×C89C2214yescomplemented
79D42×C89C2218yescomplemented
80D42×C89C2218yescomplemented
81#543×C89C2211yescharacteristic, complemented
82#542×C89C2214yescomplemented
83#540×C89C2214yescomplemented
84#540×C89C2214yescomplemented
85#540×C89C2218yescomplemented
86#540×C89C2218yescomplemented
87#539×C89C2214yescomplemented
88#539×C89C2212yescomplemented
89#539×C89C2214yescomplemented
90#539×C89C2218yescomplemented
91#538×C89C2214yescomplemented
92#538×C89C2218yescomplemented
93#538×C89C2212yescomplemented
94#538×C89C2214yescomplemented
95#538×C89C2214yescomplemented
96#538×C89C2214yescomplemented
97#538×C89C2218yescomplemented
98#538×C89C2218yescomplemented
99#538×C89C2218yescomplemented
100#538×C89C2214yescomplemented
101#537×C89C2214yescomplemented
102#537×C89C2212yescomplemented
103#537×C89C2212yescomplemented
104#535×C89C2218yescomplemented
105#535×C89C2214yescomplemented
106#535×C89C2214yescomplemented
107#535×C89C2214yescomplemented
108#535×C89C2212yescomplemented
109#535×C89C2218yescomplemented
110#534×C89C2211yescharacteristic, complemented
111#534×C89C2214yescomplemented
112#534×C89C2212yescomplemented
113#534×C89C2212yescomplemented
114#534×C89C2218yescomplemented
115#534×C89C2218yescomplemented
116#534×C89C2218yescomplemented
117#534×C89C2218yescomplemented
118#534×C89C2214yescomplemented
119#534×C89C2214yescomplemented
120#534×C89C2218yescomplemented
121#534×C89C2212yescomplemented
122#534×C89C2214yescomplemented
123#532×C89C2212yescomplemented
124C2×#127×C89C2212yescomplemented
125#529×C89C2214yescomplemented
126#529×C89C2212yescomplemented
127#529×C89C2214yescomplemented
128C2×#124×C89C2211yescharacteristic, complemented
129#525×C89C2214yescomplemented
130#525×C89C2218yescomplemented
131#525×C89C2212yescomplemented
132#525×C89C2214yescomplemented
133#525×C89C2214yescomplemented
134#525×C89C2214yescomplemented
135C2×#123×C89C2218yescomplemented
136C2×#123×C89C2212yescomplemented
137C2×C22⋊Q8×C89C2211yescharacteristic, complemented
138C2×#121×C89C2212yescomplemented
139C2×#121×C89C2214yescomplemented
140C2×#121×C89C2212yescomplemented
141C2×#121×C89C2214yescomplemented
142C2×#121×C89C2214yescomplemented
143C2×#121×C89C2211yescharacteristic, complemented
144C2×#121×C89C2212yescomplemented
145C2×#121×C89C2212yescomplemented
146C2×#120×C89C2214yescomplemented
147C2×#120×C89C2212yescomplemented
148C2×#120×C89C2218yescomplemented
149C2×#120×C89C2214yescomplemented
150C2×#120×C89C2218yescomplemented
151#520×C89C2212yescomplemented
152#518×C89C2214yescomplemented
153#518×C89C2214yescomplemented
154C2×C4×D4×C89C2212yescomplemented
155C2×C4×D4×C89C2211yescharacteristic, complemented
156C2×C4×D4×C89C2212yescomplemented
157C2×C4×D4×C89C2211yescharacteristic, complemented
158C22×C22⋊C4×C89C2212yescomplemented
159C25×C89C2312yes—
160C25×C89C2314yescomplemented
161H(5,𝔽2)×C89—48no—
162H(5,𝔽2)×C89—48no—
163C2×#41×C89—44no—
164C2×#41×C89C2312yes—
165C2×#41×C89C2312yescomplemented
166C2×#41×C89C2318yescomplemented
167C2×#41×C89C2314yescomplemented
168C2×#41×C89C2314yescomplemented
169C2×#41×C89C2314yescomplemented
170C2×#41×C89C2314yescomplemented
171C2×#41×C89C2312yescomplemented
172C2×#41×C89C2314yescomplemented
173C22×Q8×C89C2311yescharacteristic, complemented
174C22×D4×C89—44no—
175C22×D4×C89—48no—
176C22×D4×C89—416no—
177C22×D4×C89C2311yescharacteristic
178C22×D4×C89C2312yes—
179C22×D4×C89C2311yescharacteristic
180C22×D4×C89C2312yes—
181C22×D4×C89C2314yes—
182C22×D4×C89C2314yes—
183C22×D4×C89C2314yes—
184C22×D4×C89C2318yes—
185C22×D4×C89C2312yes—
186C22×D4×C89C2311yescharacteristic
187C22×D4×C89C2312yes—
188C22×D4×C89C2318yes—
189C22×D4×C89C2314yescomplemented
190C22×D4×C89C2314yescomplemented
191C22×D4×C89C2312yescomplemented
192C22×D4×C89C2314yescomplemented
193C22×D4×C89C2318yescomplemented
194C22×D4×C89C2318yescomplemented
195C22×D4×C89C2318yescomplemented
196C22×D4×C89C2314yescomplemented
197C22×D4×C89C2312yescomplemented
198C22×D4×C89C2314yescomplemented
199C22×D4×C89C2312yescomplemented
200C22×D4×C89C2318yescomplemented
201C22×D4×C89C2318yescomplemented
202C22×D4×C89C2314yescomplemented
203C22×D4×C89C2314yescomplemented
204C22×D4×C89C2314yescomplemented
205C22×D4×C89C2312yescomplemented
206C22×D4×C89C2318yescomplemented
207C23×C4×C89C2311yescharacteristic
208C23×C4×C89C2312yescomplemented
209C23×C4×C89C2311yescharacteristic, complemented
210C23×C4×C89C2314yescomplemented
211C23×C4×C89C2312yescomplemented
212C23×C4×C89C2312yescomplemented
213C4⋊Q8×C89C2312yescomplemented
214#127×C89C2314yes—
215#127×C89C2314yescomplemented
216#127×C89C2318yescomplemented
217#127×C89C2312yescomplemented
218#127×C89C2318yescomplemented
219#127×C89C2318yescomplemented
220#126×C89C2314yescomplemented
221#126×C89C2314yescomplemented
222#126×C89C2318yescomplemented
223#126×C89C2314yescomplemented
224#126×C89C2318yescomplemented
225#126×C89C2318yescomplemented
226#126×C89C2318yescomplemented
227#126×C89C2318yescomplemented
228#125×C89C2314yescomplemented
229#125×C89C2312yescomplemented
230#125×C89C2314yescomplemented
231#125×C89C2318yescomplemented
232#124×C89C2314yescomplemented
233#124×C89C2314yescomplemented
234#124×C89C2314yescomplemented
235#124×C89C2314yescomplemented
236#124×C89C2312yescomplemented
237#124×C89C2314yescomplemented
238#124×C89C2318yescomplemented
239#124×C89C2318yescomplemented
240#124×C89C2318yescomplemented
241#124×C89C2318yescomplemented
242#124×C89C2318yescomplemented
243#123×C89C2314yes—
244#123×C89C2318yes—
245#123×C89C2318yescomplemented
246#123×C89C2318yescomplemented
247#123×C89C2318yescomplemented
248#123×C89C2318yescomplemented
249#123×C89C2318yescomplemented
250#123×C89C2318yescomplemented
251#123×C89C2318yescomplemented
252#123×C89C2318yescomplemented
253#123×C89C2314yescomplemented
254#123×C89C2314yescomplemented
255#123×C89C2314yescomplemented
256#123×C89C2318yescomplemented
257#123×C89C2318yescomplemented
258#123×C89C2314yescomplemented
259#123×C89C2318yescomplemented
260#123×C89C2314yescomplemented
261#123×C89C2318yescomplemented
262#123×C89C2318yescomplemented
263#123×C89C2318yescomplemented
264#123×C89C2318yescomplemented
265#123×C89C2318yescomplemented
266#123×C89C2318yescomplemented
267#123×C89C2318yescomplemented
268C22⋊Q8×C89C2314yescomplemented
269C22⋊Q8×C89C2314yescomplemented
270C22⋊Q8×C89C2312yescomplemented
271C22⋊Q8×C89C2312yescomplemented
272C22⋊Q8×C89C2312yescomplemented
273C22⋊Q8×C89C2314yescomplemented
274C22⋊Q8×C89C2314yescomplemented
275C22⋊Q8×C89C2314yescomplemented
276C22⋊Q8×C89C2318yescomplemented
277C22⋊Q8×C89C2314yescomplemented
278C22⋊Q8×C89C2318yescomplemented
279C22⋊Q8×C89C2314yescomplemented
280C22⋊Q8×C89C2314yescomplemented
281C22⋊Q8×C89C2318yescomplemented
282C22⋊Q8×C89C2318yescomplemented
283#121×C89C2312yes—
284#121×C89C2312yes—
285#121×C89C2314yes—
286#121×C89C2318yes—
287#121×C89C2314yes—
288#121×C89C2314yes—
289#121×C89C2314yes—
290#121×C89C2314yes—
291#121×C89C2314yescomplemented
292#121×C89C2314yescomplemented
293#121×C89C2314yescomplemented
294#121×C89C2314yescomplemented
295#121×C89C2314yescomplemented
296#121×C89C2318yescomplemented
297#121×C89C2318yescomplemented
298#121×C89C2318yescomplemented
299#121×C89C2318yescomplemented
300#121×C89C2314yescomplemented
301#121×C89C2314yescomplemented
302#121×C89C2314yescomplemented
303#121×C89C2318yescomplemented
304#121×C89C2314yescomplemented
305#121×C89C2314yescomplemented
306#121×C89C2314yescomplemented
307#121×C89C2314yescomplemented
308#121×C89C2318yescomplemented
309#121×C89C2318yescomplemented
310#121×C89C2314yescomplemented
311#121×C89C2318yescomplemented
312#121×C89C2318yescomplemented
313#121×C89C2318yescomplemented
314#121×C89C2312yescomplemented
315#121×C89C2314yescomplemented
316#121×C89C2318yescomplemented
317#121×C89C2314yescomplemented
318#121×C89C2314yescomplemented
319#121×C89C2314yescomplemented
320#121×C89C2318yescomplemented
321#121×C89C2318yescomplemented
322#121×C89C2318yescomplemented
323#121×C89C2318yescomplemented
324#121×C89C2318yescomplemented
325#121×C89C2318yescomplemented
326#121×C89C2318yescomplemented
327#121×C89C2318yescomplemented
328#121×C89C2318yescomplemented
329#121×C89C2318yescomplemented
330#121×C89C2318yescomplemented
331#121×C89C2318yescomplemented
332#121×C89C2318yescomplemented
333#120×C89C2314yes—
334#120×C89C2318yes—
335#120×C89C2318yes—
336#120×C89C2318yes—
337#120×C89C2318yes—
338#120×C89C2318yescomplemented
339#120×C89C2314yescomplemented
340#120×C89C2318yescomplemented
341#120×C89C2318yescomplemented
342#120×C89C2318yescomplemented
343#120×C89C2318yescomplemented
344#120×C89C2318yescomplemented
345#120×C89C2318yescomplemented
346#120×C89C2318yescomplemented
347#120×C89C2318yescomplemented
348#120×C89C2318yescomplemented
349#120×C89C2318yescomplemented
350#120×C89C2318yescomplemented
351#120×C89C2318yescomplemented
352#120×C89C2318yescomplemented
353#120×C89C2318yescomplemented
354#120×C89C2318yescomplemented
355#120×C89C2318yescomplemented
356#120×C89C2314yescomplemented
357#120×C89C2318yescomplemented
358#120×C89C2318yescomplemented
359#120×C89C2318yescomplemented
360C4×Q8×C89C2314yescomplemented
361C4×Q8×C89C2312yescomplemented
362C4×D4×C89C2312yes—
363C4×D4×C89C2314yes—
364C4×D4×C89C2314yes—
365C4×D4×C89C2314yes—
366C4×D4×C89C2314yescomplemented
367C4×D4×C89C2314yescomplemented
368C4×D4×C89C2314yescomplemented
369C4×D4×C89C2318yescomplemented
370C4×D4×C89C2314yescomplemented
371C4×D4×C89C2314yescomplemented
372C4×D4×C89C2312yescomplemented
373C4×D4×C89C2314yescomplemented
374C4×D4×C89C2318yescomplemented
375C4×D4×C89C2318yescomplemented
376C4×D4×C89C2318yescomplemented
377C4×D4×C89C2318yescomplemented
378C4×D4×C89C2318yescomplemented
379C4×D4×C89C2318yescomplemented
380C4×D4×C89C2314yescomplemented
381C4×D4×C89C2314yescomplemented
382C4×D4×C89C2318yescomplemented
383C4×D4×C89C2312yescomplemented
384C4×D4×C89C2314yescomplemented
385C4×D4×C89C2318yescomplemented
386C4×D4×C89C2318yescomplemented
387C4×D4×C89C2318yescomplemented
388C4×D4×C89C2318yescomplemented
389C4×D4×C89C2314yescomplemented
390#117×C89C2314yescomplemented
391#117×C89C2318yescomplemented
392#117×C89C2314yescomplemented
393#117×C89C2312yescomplemented
394#117×C89C2314yescomplemented
395#117×C89C2314yescomplemented
396#117×C89C2318yescomplemented
397C2×C4⋊C4×C89C2312yescomplemented
398C2×C4⋊C4×C89C2312yescomplemented
399C2×C4⋊C4×C89C2311yescharacteristic, complemented
400C2×C4⋊C4×C89C2311yescharacteristic, complemented
401C2×C4⋊C4×C89C2314yescomplemented
402C2×C4⋊C4×C89C2312yescomplemented
403C2×C4⋊C4×C89C2312yescomplemented
404C2×C4⋊C4×C89C2314yescomplemented
405C2×C22⋊C4×C89C2311yescharacteristic
406C2×C22⋊C4×C89C2312yes—
407C2×C22⋊C4×C89C2312yes—
408C2×C22⋊C4×C89C2318yescomplemented
409C2×C22⋊C4×C89C2312yescomplemented
410C2×C22⋊C4×C89C2312yescomplemented
411C2×C22⋊C4×C89C2318yescomplemented
412C2×C22⋊C4×C89C2312yescomplemented
413C2×C22⋊C4×C89C2314yescomplemented
414C2×C22⋊C4×C89C2312yescomplemented
415C2×C22⋊C4×C89C2311yescharacteristic, complemented
416C2×C22⋊C4×C89C2318yescomplemented
417C2×C22⋊C4×C89C2318yescomplemented
418C2×C22⋊C4×C89C2318yescomplemented
419C2×C22⋊C4×C89C2314yescomplemented
420C2×C22⋊C4×C89C2314yescomplemented
421C2×C22⋊C4×C89C2318yescomplemented
422C2×C22⋊C4×C89C2312yescomplemented
423C2×C22⋊C4×C89C2318yescomplemented
424C2×C22⋊C4×C89C2314yescomplemented
425C2×C42×C89C2311yescharacteristic, complemented
426C2×C42×C89C2312yescomplemented
427C24×C89—28no—
428C24×C89—44no—
429C24×C89—48no—
430C24×C89—48no—
431C24×C89—82no—
432C24×C89—84no—
433C24×C89C2414yes—
434C24×C89C2412yes—
435C24×C89C2414yes—
436C24×C89C2414yes—
437C24×C89C2418yes—
438C24×C89C2412yes—
439C24×C89C2412yes—
440C24×C89C2411yescharacteristic
441C24×C89C2418yes—
442C24×C89C2414yes—
443C24×C89C2411yescharacteristic
444#41×C89—28no—
445#41×C89—44no—
446#41×C89—48no—
447#41×C89—416no—
448#41×C89—48no—
449#41×C89—48no—
450#41×C89—44no—
451#41×C89—48no—
452#41×C89—84no—
453C2×Q8×C89—42no—
454C2×Q8×C89C2412yes—
455C2×Q8×C89C2412yes—
456C2×Q8×C89C2412yes—
457C2×Q8×C89C2412yes—
458C2×Q8×C89C2414yes—
459C2×D4×C89—28no—
460C2×D4×C89—216no—
461C2×D4×C89—24no—
462C2×D4×C89—28no—
463C2×D4×C89—24no—
464C2×D4×C89—216no—
465C2×D4×C89—44no—
466C2×D4×C89—42no—
467C2×D4×C89—44no—
468C2×D4×C89—48no—
469C2×D4×C89—44no—
470C2×D4×C89—48no—
471C2×D4×C89—48no—
472C2×D4×C89—48no—
473C2×D4×C89—44no—
474C2×D4×C89—416no—
475C2×D4×C89—416no—
476C2×D4×C89—48no—
477C2×D4×C89—416no—
478C2×D4×C89—416no—
479C2×D4×C89—416no—
480C2×D4×C89—48no—
481C2×D4×C89—44no—
482C2×D4×C89—48no—
483C2×D4×C89—416no—
484C2×D4×C89—416no—
485C2×D4×C89—82no—
486C2×D4×C89—84no—
487C2×D4×C89—84no—
488C2×D4×C89—88no—
489C2×D4×C89C2414yes—
490C2×D4×C89C2418yes—
491C2×D4×C89C2414yes—
492C2×D4×C89C2418yes—
493C2×D4×C89C2414yes—
494C2×D4×C89C2412yes—
495C2×D4×C89C2414yes—
496C2×D4×C89C2418yes—
497C2×D4×C89C2414yes—
498C2×D4×C89C2412yes—
499C2×D4×C89C2414yes—
500C2×D4×C89C2411yescharacteristic
501C2×D4×C89C2412yes—
502C2×D4×C89C2418yes—
503C2×D4×C89C2418yes—
504C2×D4×C89C2418yes—
505C2×D4×C89C2414yes—
506C2×D4×C89C2414yes—
507C2×D4×C89C2418yes—
508C2×D4×C89C2412yes—
509C2×D4×C89C2418yes—
510C2×D4×C89C2418yes—
511C2×D4×C89C2418yes—
512C2×D4×C89C2414yes—
513C2×D4×C89C2414yes—
514C2×D4×C89C2412yes—
515C2×D4×C89C2414yes—
516C2×D4×C89C2414yes—
517C2×D4×C89C2418yes—
518C2×D4×C89C2418yes—
519C2×D4×C89C2414yes—
520C2×D4×C89C2418yes—
521C2×D4×C89C2414yes—
522C2×D4×C89C2418yes—
523C2×D4×C89C2411yescharacteristic
524C22×C4×C89—42no—
525C22×C4×C89—44no—
526C22×C4×C89—42no—
527C22×C4×C89—48no—
528C22×C4×C89—44no—
529C22×C4×C89—82no—
530C22×C4×C89C2411yescharacteristic
531C22×C4×C89C2412yes—
532C22×C4×C89C2411yescharacteristic
533C22×C4×C89C2412yes—
534C22×C4×C89C2414yes—
535C22×C4×C89C2414yes—
536C22×C4×C89C2412yes—
537C22×C4×C89C2414yes—
538C22×C4×C89C2412yes—
539C22×C4×C89C2411yescharacteristic
540C22×C4×C89C2412yes—
541C22×C4×C89C2412yes—
542C22×C4×C89C2412yes—
543C22×C4×C89C2411yescharacteristic
544C22×C4×C89C2414yes—
545C22×C4×C89C2412yes—
546C22×C4×C89C2418yes—
547C22×C4×C89C2418yes—
548C22×C4×C89C2414yes—
549C22×C4×C89C2418yes—
550C22×C4×C89C2418yes—
551C22×C4×C89C2414yes—
552C22×C4×C89C2412yes—
553C22×C4×C89C2411yescharacteristic
554C22×C4×C89C2414yes—
555C22×C4×C89C2414yes—
556C22×C4×C89C2418yes—
557C4⋊C4×C89C2414yes—
558C4⋊C4×C89C2412yes—
559C4⋊C4×C89C2414yes—
560C4⋊C4×C89C2412yes—
561C4⋊C4×C89C2412yes—
562C4⋊C4×C89C2418yes—
563C4⋊C4×C89C2418yes—
564C4⋊C4×C89C2414yes—
565C4⋊C4×C89C2414yes—
566C4⋊C4×C89C2414yes—
567C4⋊C4×C89C2414yes—
568C4⋊C4×C89C2414yes—
569C4⋊C4×C89C2412yes—
570C4⋊C4×C89C2418yes—
571C4⋊C4×C89C2412yes—
572C4⋊C4×C89C2412yes—
573C4⋊C4×C89C2414yes—
574C4⋊C4×C89C2418yes—
575C4⋊C4×C89C2414yes—
576C4⋊C4×C89C2418yes—
577C4⋊C4×C89C2414yes—
578C4⋊C4×C89C2414yes—
579C22⋊C4×C89C2414yes—
580C22⋊C4×C89C2418yes—
581C22⋊C4×C89C2414yes—
582C22⋊C4×C89C2414yes—
583C22⋊C4×C89C2414yes—
584C22⋊C4×C89C2418yes—
585C22⋊C4×C89C2418yes—
586C22⋊C4×C89C2418yes—
587C22⋊C4×C89C2414yes—
588C22⋊C4×C89C2414yes—
589C22⋊C4×C89C2418yes—
590C22⋊C4×C89C2418yes—
591C22⋊C4×C89C2414yes—
592C22⋊C4×C89C2414yes—
593C22⋊C4×C89C2418yes—
594C22⋊C4×C89C2418yes—
595C22⋊C4×C89C2418yes—
596C22⋊C4×C89C2418yes—
597C22⋊C4×C89C2418yes—
598C22⋊C4×C89C2418yes—
599C22⋊C4×C89C2418yes—
600C22⋊C4×C89C2414yes—
601C22⋊C4×C89C2414yes—
602C22⋊C4×C89C2418yes—
603C22⋊C4×C89C2418yes—
604C22⋊C4×C89C2418yes—
605C22⋊C4×C89C2418yes—
606C22⋊C4×C89C2418yes—
607C22⋊C4×C89C2414yes—
608C22⋊C4×C89C2414yes—
609C22⋊C4×C89C2414yes—
610C22⋊C4×C89C2414yes—
611C42×C89C2414yes—
612C42×C89C2412yes—
613C42×C89C2414yes—
614C42×C89C2412yes—
615C42×C89C2418yes—
616C42×C89C2418yes—
617C23×C89—24no—
618C23×C89—28no—
619C23×C89—28no—
620C23×C89—24no—
621C23×C89—24no—
622C23×C89—22no—
623C23×C89—216no—
624C23×C89—28no—
625C23×C89—24no—
626C23×C89—28no—
627C23×C89—41no—
628C23×C89—42no—
629C23×C89—42no—
630C23×C89—41no—
631C23×C89—44no—
632C23×C89—42no—
633C23×C89—41no—
634C23×C89—42no—
635C23×C89—44no—
636C23×C89—44no—
637C23×C89—48no—
638C23×C89—48no—
639C23×C89—48no—
640C23×C89—41no—
641C23×C89—42no—
642C23×C89—48no—
643C23×C89—44no—
644C23×C89—44no—
645C23×C89—48no—
646C23×C89—44no—
647C23×C89—44no—
648C23×C89—44no—
649C23×C89—816no—
650C23×C89—832no—
651C23×C89H(5,𝔽2)14yescomplemented
652C23×C89C2514yes—
653C23×C89C2514yes—
654C23×C89C2518yes—
655C23×C89C2512yes—
656C23×C89C2512yes—
657C23×C89C2512yes—
658C23×C89C2512yes—
659C23×C89C2511yescharacteristic
660Q8×C89—24no—
661Q8×C89—42no—
662Q8×C89—42no—
663Q8×C89—44no—
664Q8×C89—42no—
665D4×C89—28no—
666D4×C89—28no—
667D4×C89—28no—
668D4×C89—216no—
669D4×C89—216no—
670D4×C89—216no—
671D4×C89—28no—
672D4×C89—24no—
673D4×C89—28no—
674D4×C89—24no—
675D4×C89—28no—
676D4×C89—22no—
677D4×C89—44no—
678D4×C89—48no—
679D4×C89—44no—
680D4×C89—48no—
681D4×C89—48no—
682D4×C89—48no—
683D4×C89—48no—
684D4×C89—42no—
685D4×C89—42no—
686D4×C89—44no—
687D4×C89—44no—
688D4×C89—48no—
689D4×C89—44no—
690D4×C89—48no—
691D4×C89—44no—
692D4×C89—48no—
693D4×C89—48no—
694D4×C89—42no—
695D4×C89—48no—
696D4×C89—44no—
697D4×C89—44no—
698D4×C89—48no—
699D4×C89H(5,𝔽2)14yescomplemented
700C2×C4×C89—24no—
701C2×C4×C89—28no—
702C2×C4×C89—28no—
703C2×C4×C89—22no—
704C2×C4×C89—24no—
705C2×C4×C89—22no—
706C2×C4×C89—28no—
707C2×C4×C89—24no—
708C2×C4×C89—41no—
709C2×C4×C89—41no—
710C2×C4×C89—48no—
711C2×C4×C89—44no—
712C2×C4×C89—48no—
713C2×C4×C89—42no—
714C2×C4×C89—42no—
715C2×C4×C89—42no—
716C2×C4×C89—42no—
717C2×C4×C89—44no—
718C2×C4×C89—41no—
719C2×C4×C89—42no—
720C2×C4×C89—44no—
721C2×C4×C89—44no—
722C2×C4×C89—44no—
723C2×C4×C89—48no—
724C2×C4×C89—48no—
725C2×C4×C89—42no—
726C2×C4×C89—48no—
727C2×C4×C89C2514yes—
728C2×C4×C89C2512yes—
729C2×C4×C89C2514yes—
730C2×C4×C89C2512yes—
731C2×C4×C89C2511yescharacteristic
732C2×C4×C89C2514yes—
733C2×C4×C89C2514yes—
734C2×C4×C89C2518yes—
735C2×C4×C89C2514yes—
736C2×C4×C89C2512yes—
737C2×C4×C89C2512yes—
738C2×C4×C89C2511yescharacteristic
739C22×C89—21no—
740C22×C89—22no—
741C22×C89—22no—
742C22×C89—21no—
743C22×C89—22no—
744C22×C89—22no—
745C22×C89—22no—
746C22×C89—24no—
747C22×C89—22no—
748C22×C89—22no—
749C22×C89—24no—
750C22×C89—28no—
751C22×C89—28no—
752C22×C89—24no—
753C22×C89—24no—
754C22×C89—22no—
755C22×C89—22no—
756C22×C89—28no—
757C22×C89—22no—
758C22×C89—24no—
759C22×C89—24no—
760C22×C89—44no—
761C22×C89—48no—
762C22×C89—416no—
763C22×C89—48no—
764C22×C89—82no—
765C22×C89—88no—
766C22×C89—88no—
767C22×C89—816no—
768C22×C89—84no—
769C22×C89—816no—
770C22×C89—164no—
771C22×C89C2×H(5,𝔽2)14yes—
772C22×C89C2×H(5,𝔽2)14yes—
773C22×C89C2×H(5,𝔽2)12yes—
774C22×C89C2611yescharacteristic
775C4×C89—22no—
776C4×C89—24no—
777C4×C89—22no—
778C4×C89—28no—
779C4×C89—24no—
780C4×C89—22no—
781C4×C89—21no—
782C4×C89—24no—
783C4×C89—24no—
784C4×C89—22no—
785C4×C89—24no—
786C4×C89C2×H(5,𝔽2)12yes—
787#62892C8911yesmaximal, characteristic, direct product factor, Sylow
788C2×C89—24no—
789C2×C89—24no—
790C2×C89—22no—
791C2×C89—42no—
792C2×C89—44no—
793C2×C89—44no—
794C2×C89—48no—
795C2×C89—42no—
796C2×C89C22×H(5,𝔽2)11yescharacteristic
797C2×C89C22×H(5,𝔽2)11yescharacteristic
798C2×C89H(7,𝔽2)11yescharacteristic
799#3558C2×C8912yescomplemented
800#3543C2×C8914yescomplemented
801#3542C2×C8914yescomplemented
802#3537C2×C8914yescomplemented
803#3537C2×C8912yescomplemented
804#3534C2×C8918yescomplemented
805#3534C2×C8914yescomplemented
806#3532C2×C8918yescomplemented
807#3519C2×C8912yescomplemented
808#3513C2×C8914yescomplemented
809#3505C2×C8912yescomplemented
810#3496C2×C8911yescharacteristic, complemented
811#3490C2×C8912yescomplemented
812#3488C2×C8912yescomplemented
813#3484C2×C8914yescomplemented
814#3484C2×C8914yescomplemented
815C2×#546C2×C8911yescharacteristic, complemented
816C2×D42C2×C8912yescomplemented
817#3459C2×C8911yescharacteristic, complemented
818C2×#534C2×C8912yescomplemented
819C89#6289211yescharacteristic, direct product factor, Sylow
820C2×H(5,𝔽2)C22×C8912yescomplemented
821C2×H(5,𝔽2)C22×C8912yescomplemented
822C22×#41C22×C8911yescharacteristic, complemented
823C23×D4C22×C8911yescharacteristic, complemented
824C23×D4C22×C8914yescomplemented
825C23×D4C22×C8912yescomplemented
826#562C22×C8918yescomplemented
827#562C22×C8914yescomplemented
828H(3,𝔽4)C22×C8914yescomplemented
829#560C22×C8918yescomplemented
830#560C22×C8918yescomplemented
831#560C22×C8918yescomplemented
832#560C22×C8918yescomplemented
833#559C22×C8914yescomplemented
834#555C22×C8912yescomplemented
835#554C22×C8912yescomplemented
836#553C22×C8918yescomplemented
837#553C22×C8914yescomplemented
838#553C22×C8914yescomplemented
839#553C22×C8918yescomplemented
840#553C22×C8914yescomplemented
841#552C22×C8914yescomplemented
842#551C22×C8918yescomplemented
843#551C22×C8918yescomplemented
844#551C22×C8918yescomplemented
845#551C22×C8918yescomplemented
846#550C22×C8914yescomplemented
847#550C22×C8912yescomplemented
848#548C22×C8914yescomplemented
849#547C22×C8914yescomplemented
850#546C22×C8914yescomplemented
851#546C22×C8914yescomplemented
852#546C22×C8914yescomplemented
853#546C22×C8918yescomplemented
854#546C22×C8918yescomplemented
855#546C22×C8918yescomplemented
856#546C22×C8918yescomplemented
857#546C22×C8918yescomplemented
858#546C22×C8914yescomplemented
859#546C22×C8918yescomplemented
860#546C22×C8918yescomplemented
861#546C22×C8914yescomplemented
862#546C22×C8918yescomplemented
863#546C22×C8918yescomplemented
864#546C22×C8918yescomplemented
865#546C22×C8914yescomplemented
866D42C22×C8914yescomplemented
867D42C22×C8918yescomplemented
868D42C22×C8914yescomplemented
869D42C22×C8914yescomplemented
870D42C22×C8912yescomplemented
871D42C22×C8918yescomplemented
872D42C22×C8918yescomplemented
873D42C22×C8918yescomplemented
874D42C22×C8918yescomplemented
875D42C22×C8914yescomplemented
876D42C22×C8914yescomplemented
877D42C22×C8914yescomplemented
878D42C22×C8918yescomplemented
879D42C22×C8918yescomplemented
880#543C22×C8911yescharacteristic, complemented
881#542C22×C8914yescomplemented
882#540C22×C8914yescomplemented
883#540C22×C8914yescomplemented
884#540C22×C8918yescomplemented
885#540C22×C8918yescomplemented
886#539C22×C8914yescomplemented
887#539C22×C8912yescomplemented
888#539C22×C8914yescomplemented
889#539C22×C8918yescomplemented
890#538C22×C8914yescomplemented
891#538C22×C8918yescomplemented
892#538C22×C8912yescomplemented
893#538C22×C8914yescomplemented
894#538C22×C8914yescomplemented
895#538C22×C8914yescomplemented
896#538C22×C8918yescomplemented
897#538C22×C8918yescomplemented
898#538C22×C8918yescomplemented
899#538C22×C8914yescomplemented
900#537C22×C8914yescomplemented
901#537C22×C8912yescomplemented
902#537C22×C8912yescomplemented
903#535C22×C8918yescomplemented
904#535C22×C8914yescomplemented
905#535C22×C8914yescomplemented
906#535C22×C8914yescomplemented
907#535C22×C8912yescomplemented
908#535C22×C8918yescomplemented
909#534C22×C8911yescharacteristic, complemented
910#534C22×C8914yescomplemented
911#534C22×C8912yescomplemented
912#534C22×C8912yescomplemented
913#534C22×C8918yescomplemented
914#534C22×C8918yescomplemented
915#534C22×C8918yescomplemented
916#534C22×C8918yescomplemented
917#534C22×C8914yescomplemented
918#534C22×C8914yescomplemented
919#534C22×C8918yescomplemented
920#534C22×C8912yescomplemented
921#534C22×C8914yescomplemented
922#532C22×C8912yescomplemented
923C2×#127C22×C8912yescomplemented
924#529C22×C8914yescomplemented
925#529C22×C8912yescomplemented
926#529C22×C8914yescomplemented
927C2×#124C22×C8911yescharacteristic, complemented
928#525C22×C8914yescomplemented
929#525C22×C8918yescomplemented
930#525C22×C8912yescomplemented
931#525C22×C8914yescomplemented
932#525C22×C8914yescomplemented
933#525C22×C8914yescomplemented
934C2×#123C22×C8918yescomplemented
935C2×#123C22×C8912yescomplemented
936C2×C22⋊Q8C22×C8911yescharacteristic, complemented
937C2×#121C22×C8912yescomplemented
938C2×#121C22×C8914yescomplemented
939C2×#121C22×C8912yescomplemented
940C2×#121C22×C8914yescomplemented
941C2×#121C22×C8914yescomplemented
942C2×#121C22×C8911yescharacteristic, complemented
943C2×#121C22×C8912yescomplemented
944C2×#121C22×C8912yescomplemented
945C2×#120C22×C8914yescomplemented
946C2×#120C22×C8912yescomplemented
947C2×#120C22×C8918yescomplemented
948C2×#120C22×C8914yescomplemented
949C2×#120C22×C8918yescomplemented
950#520C22×C8912yescomplemented
951#518C22×C8914yescomplemented
952#518C22×C8914yescomplemented
953C2×C4×D4C22×C8912yescomplemented
954C2×C4×D4C22×C8911yescharacteristic, complemented
955C2×C4×D4C22×C8912yescomplemented
956C2×C4×D4C22×C8911yescharacteristic, complemented
957C22×C22⋊C4C22×C8912yescomplemented
958C25C23×C8912yes—
959C25C23×C8914yescomplemented
960H(5,𝔽2)—48no—
961H(5,𝔽2)—48no—
962C2×#41—44no—
963C2×#41C23×C8912yes—
964C2×#41C23×C8912yescomplemented
965C2×#41C23×C8918yescomplemented
966C2×#41C23×C8914yescomplemented
967C2×#41C23×C8914yescomplemented
968C2×#41C23×C8914yescomplemented
969C2×#41C23×C8914yescomplemented
970C2×#41C23×C8912yescomplemented
971C2×#41C23×C8914yescomplemented
972C22×Q8C23×C8911yescharacteristic, complemented
973C22×D4—44no—
974C22×D4—48no—
975C22×D4—416no—
976C22×D4C23×C8911yescharacteristic
977C22×D4C23×C8912yes—
978C22×D4C23×C8911yescharacteristic
979C22×D4C23×C8912yes—
980C22×D4C23×C8914yes—
981C22×D4C23×C8914yes—
982C22×D4C23×C8914yes—
983C22×D4C23×C8918yes—
984C22×D4C23×C8912yes—
985C22×D4C23×C8911yescharacteristic
986C22×D4C23×C8912yes—
987C22×D4C23×C8918yes—
988C22×D4C23×C8914yescomplemented
989C22×D4C23×C8914yescomplemented
990C22×D4C23×C8912yescomplemented
991C22×D4C23×C8914yescomplemented
992C22×D4C23×C8918yescomplemented
993C22×D4C23×C8918yescomplemented
994C22×D4C23×C8918yescomplemented
995C22×D4C23×C8914yescomplemented
996C22×D4C23×C8912yescomplemented
997C22×D4C23×C8914yescomplemented
998C22×D4C23×C8912yescomplemented
999C22×D4C23×C8918yescomplemented
1000C22×D4C23×C8918yescomplemented
1001C22×D4C23×C8914yescomplemented
1002C22×D4C23×C8914yescomplemented
1003C22×D4C23×C8914yescomplemented
1004C22×D4C23×C8912yescomplemented
1005C22×D4C23×C8918yescomplemented
1006C23×C4C23×C8911yescharacteristic
1007C23×C4C23×C8912yescomplemented
1008C23×C4C23×C8911yescharacteristic, complemented
1009C23×C4C23×C8914yescomplemented
1010C23×C4C23×C8912yescomplemented
1011C23×C4C23×C8912yescomplemented
1012C4⋊Q8C23×C8912yescomplemented
1013#127C23×C8914yes—
1014#127C23×C8914yescomplemented
1015#127C23×C8918yescomplemented
1016#127C23×C8912yescomplemented
1017#127C23×C8918yescomplemented
1018#127C23×C8918yescomplemented
1019#126C23×C8914yescomplemented
1020#126C23×C8914yescomplemented
1021#126C23×C8918yescomplemented
1022#126C23×C8914yescomplemented
1023#126C23×C8918yescomplemented
1024#126C23×C8918yescomplemented
1025#126C23×C8918yescomplemented
1026#126C23×C8918yescomplemented
1027#125C23×C8914yescomplemented
1028#125C23×C8912yescomplemented
1029#125C23×C8914yescomplemented
1030#125C23×C8918yescomplemented
1031#124C23×C8914yescomplemented
1032#124C23×C8914yescomplemented
1033#124C23×C8914yescomplemented
1034#124C23×C8914yescomplemented
1035#124C23×C8912yescomplemented
1036#124C23×C8914yescomplemented
1037#124C23×C8918yescomplemented
1038#124C23×C8918yescomplemented
1039#124C23×C8918yescomplemented
1040#124C23×C8918yescomplemented
1041#124C23×C8918yescomplemented
1042#123C23×C8914yes—
1043#123C23×C8918yes—
1044#123C23×C8918yescomplemented
1045#123C23×C8918yescomplemented
1046#123C23×C8918yescomplemented
1047#123C23×C8918yescomplemented
1048#123C23×C8918yescomplemented
1049#123C23×C8918yescomplemented
1050#123C23×C8918yescomplemented
1051#123C23×C8918yescomplemented
1052#123C23×C8914yescomplemented
1053#123C23×C8914yescomplemented
1054#123C23×C8914yescomplemented
1055#123C23×C8918yescomplemented
1056#123C23×C8918yescomplemented
1057#123C23×C8914yescomplemented
1058#123C23×C8918yescomplemented
1059#123C23×C8914yescomplemented
1060#123C23×C8918yescomplemented
1061#123C23×C8918yescomplemented
1062#123C23×C8918yescomplemented
1063#123C23×C8918yescomplemented
1064#123C23×C8918yescomplemented
1065#123C23×C8918yescomplemented
1066#123C23×C8918yescomplemented
1067C22⋊Q8C23×C8914yescomplemented
1068C22⋊Q8C23×C8914yescomplemented
1069C22⋊Q8C23×C8912yescomplemented
1070C22⋊Q8C23×C8912yescomplemented
1071C22⋊Q8C23×C8912yescomplemented
1072C22⋊Q8C23×C8914yescomplemented
1073C22⋊Q8C23×C8914yescomplemented
1074C22⋊Q8C23×C8914yescomplemented
1075C22⋊Q8C23×C8918yescomplemented
1076C22⋊Q8C23×C8914yescomplemented
1077C22⋊Q8C23×C8918yescomplemented
1078C22⋊Q8C23×C8914yescomplemented
1079C22⋊Q8C23×C8914yescomplemented
1080C22⋊Q8C23×C8918yescomplemented
1081C22⋊Q8C23×C8918yescomplemented
1082#121C23×C8912yes—
1083#121C23×C8912yes—
1084#121C23×C8914yes—
1085#121C23×C8918yes—
1086#121C23×C8914yes—
1087#121C23×C8914yes—
1088#121C23×C8914yes—
1089#121C23×C8914yes—
1090#121C23×C8914yescomplemented
1091#121C23×C8914yescomplemented
1092#121C23×C8914yescomplemented
1093#121C23×C8914yescomplemented
1094#121C23×C8914yescomplemented
1095#121C23×C8918yescomplemented
1096#121C23×C8918yescomplemented
1097#121C23×C8918yescomplemented
1098#121C23×C8918yescomplemented
1099#121C23×C8914yescomplemented
1100#121C23×C8914yescomplemented
1101#121C23×C8914yescomplemented
1102#121C23×C8918yescomplemented
1103#121C23×C8914yescomplemented
1104#121C23×C8914yescomplemented
1105#121C23×C8914yescomplemented
1106#121C23×C8914yescomplemented
1107#121C23×C8918yescomplemented
1108#121C23×C8918yescomplemented
1109#121C23×C8914yescomplemented
1110#121C23×C8918yescomplemented
1111#121C23×C8918yescomplemented
1112#121C23×C8918yescomplemented
1113#121C23×C8912yescomplemented
1114#121C23×C8914yescomplemented
1115#121C23×C8918yescomplemented
1116#121C23×C8914yescomplemented
1117#121C23×C8914yescomplemented
1118#121C23×C8914yescomplemented
1119#121C23×C8918yescomplemented
1120#121C23×C8918yescomplemented
1121#121C23×C8918yescomplemented
1122#121C23×C8918yescomplemented
1123#121C23×C8918yescomplemented
1124#121C23×C8918yescomplemented
1125#121C23×C8918yescomplemented
1126#121C23×C8918yescomplemented
1127#121C23×C8918yescomplemented
1128#121C23×C8918yescomplemented
1129#121C23×C8918yescomplemented
1130#121C23×C8918yescomplemented
1131#121C23×C8918yescomplemented
1132#120C23×C8914yes—
1133#120C23×C8918yes—
1134#120C23×C8918yes—
1135#120C23×C8918yes—
1136#120C23×C8918yes—
1137#120C23×C8918yescomplemented
1138#120C23×C8914yescomplemented
1139#120C23×C8918yescomplemented
1140#120C23×C8918yescomplemented
1141#120C23×C8918yescomplemented
1142#120C23×C8918yescomplemented
1143#120C23×C8918yescomplemented
1144#120C23×C8918yescomplemented
1145#120C23×C8918yescomplemented
1146#120C23×C8918yescomplemented
1147#120C23×C8918yescomplemented
1148#120C23×C8918yescomplemented
1149#120C23×C8918yescomplemented
1150#120C23×C8918yescomplemented
1151#120C23×C8918yescomplemented
1152#120C23×C8918yescomplemented
1153#120C23×C8918yescomplemented
1154#120C23×C8918yescomplemented
1155#120C23×C8914yescomplemented
1156#120C23×C8918yescomplemented
1157#120C23×C8918yescomplemented
1158#120C23×C8918yescomplemented
1159C4×Q8C23×C8914yescomplemented
1160C4×Q8C23×C8912yescomplemented
1161C4×D4C23×C8912yes—
1162C4×D4C23×C8914yes—
1163C4×D4C23×C8914yes—
1164C4×D4C23×C8914yes—
1165C4×D4C23×C8914yescomplemented
1166C4×D4C23×C8914yescomplemented
1167C4×D4C23×C8914yescomplemented
1168C4×D4C23×C8918yescomplemented
1169C4×D4C23×C8914yescomplemented
1170C4×D4C23×C8914yescomplemented
1171C4×D4C23×C8912yescomplemented
1172C4×D4C23×C8914yescomplemented
1173C4×D4C23×C8918yescomplemented
1174C4×D4C23×C8918yescomplemented
1175C4×D4C23×C8918yescomplemented
1176C4×D4C23×C8918yescomplemented
1177C4×D4C23×C8918yescomplemented
1178C4×D4C23×C8918yescomplemented
1179C4×D4C23×C8914yescomplemented
1180C4×D4C23×C8914yescomplemented
1181C4×D4C23×C8918yescomplemented
1182C4×D4C23×C8912yescomplemented
1183C4×D4C23×C8914yescomplemented
1184C4×D4C23×C8918yescomplemented
1185C4×D4C23×C8918yescomplemented
1186C4×D4C23×C8918yescomplemented
1187C4×D4C23×C8918yescomplemented
1188C4×D4C23×C8914yescomplemented
1189#117C23×C8914yescomplemented
1190#117C23×C8918yescomplemented
1191#117C23×C8914yescomplemented
1192#117C23×C8912yescomplemented
1193#117C23×C8914yescomplemented
1194#117C23×C8914yescomplemented
1195#117C23×C8918yescomplemented
1196C2×C4⋊C4C23×C8912yescomplemented
1197C2×C4⋊C4C23×C8912yescomplemented
1198C2×C4⋊C4C23×C8911yescharacteristic, complemented
1199C2×C4⋊C4C23×C8911yescharacteristic, complemented
1200C2×C4⋊C4C23×C8914yescomplemented
1201C2×C4⋊C4C23×C8912yescomplemented
1202C2×C4⋊C4C23×C8912yescomplemented
1203C2×C4⋊C4C23×C8914yescomplemented
1204C2×C22⋊C4C23×C8911yescharacteristic
1205C2×C22⋊C4C23×C8912yes—
1206C2×C22⋊C4C23×C8912yes—
1207C2×C22⋊C4C23×C8918yescomplemented
1208C2×C22⋊C4C23×C8912yescomplemented
1209C2×C22⋊C4C23×C8912yescomplemented
1210C2×C22⋊C4C23×C8918yescomplemented
1211C2×C22⋊C4C23×C8912yescomplemented
1212C2×C22⋊C4C23×C8914yescomplemented
1213C2×C22⋊C4C23×C8912yescomplemented
1214C2×C22⋊C4C23×C8911yescharacteristic, complemented
1215C2×C22⋊C4C23×C8918yescomplemented
1216C2×C22⋊C4C23×C8918yescomplemented
1217C2×C22⋊C4C23×C8918yescomplemented
1218C2×C22⋊C4C23×C8914yescomplemented
1219C2×C22⋊C4C23×C8914yescomplemented
1220C2×C22⋊C4C23×C8918yescomplemented
1221C2×C22⋊C4C23×C8912yescomplemented
1222C2×C22⋊C4C23×C8918yescomplemented
1223C2×C22⋊C4C23×C8914yescomplemented
1224C2×C42C23×C8911yescharacteristic, complemented
1225C2×C42C23×C8912yescomplemented
1226C24—28no—
1227C24—44no—
1228C24—48no—
1229C24—48no—
1230C24—82no—
1231C24—84no—
1232C24C24×C8914yes—
1233C24C24×C8912yes—
1234C24C24×C8914yes—
1235C24C24×C8914yes—
1236C24C24×C8918yes—
1237C24C24×C8912yes—
1238C24C24×C8912yes—
1239C24C24×C8911yescharacteristic
1240C24C24×C8918yes—
1241C24C24×C8914yes—
1242C24C24×C8911yescharacteristic
1243#41—28no—
1244#41—44no—
1245#41—48no—
1246#41—416no—
1247#41—48no—
1248#41—48no—
1249#41—44no—
1250#41—48no—
1251#41—84no—
1252C2×Q8—42no—
1253C2×Q8C24×C8912yes—
1254C2×Q8C24×C8912yes—
1255C2×Q8C24×C8912yes—
1256C2×Q8C24×C8912yes—
1257C2×Q8C24×C8914yes—
1258C2×D4—28no—
1259C2×D4—216no—
1260C2×D4—24no—
1261C2×D4—28no—
1262C2×D4—24no—
1263C2×D4—216no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—48no—
1268C2×D4—44no—
1269C2×D4—48no—
1270C2×D4—48no—
1271C2×D4—48no—
1272C2×D4—44no—
1273C2×D4—416no—
1274C2×D4—416no—
1275C2×D4—48no—
1276C2×D4—416no—
1277C2×D4—416no—
1278C2×D4—416no—
1279C2×D4—48no—
1280C2×D4—44no—
1281C2×D4—48no—
1282C2×D4—416no—
1283C2×D4—416no—
1284C2×D4—82no—
1285C2×D4—84no—
1286C2×D4—84no—
1287C2×D4—88no—
1288C2×D4C24×C8914yes—
1289C2×D4C24×C8918yes—
1290C2×D4C24×C8914yes—
1291C2×D4C24×C8918yes—
1292C2×D4C24×C8914yes—
1293C2×D4C24×C8912yes—
1294C2×D4C24×C8914yes—
1295C2×D4C24×C8918yes—
1296C2×D4C24×C8914yes—
1297C2×D4C24×C8912yes—
1298C2×D4C24×C8914yes—
1299C2×D4C24×C8911yescharacteristic
1300C2×D4C24×C8912yes—
1301C2×D4C24×C8918yes—
1302C2×D4C24×C8918yes—
1303C2×D4C24×C8918yes—
1304C2×D4C24×C8914yes—
1305C2×D4C24×C8914yes—
1306C2×D4C24×C8918yes—
1307C2×D4C24×C8912yes—
1308C2×D4C24×C8918yes—
1309C2×D4C24×C8918yes—
1310C2×D4C24×C8918yes—
1311C2×D4C24×C8914yes—
1312C2×D4C24×C8914yes—
1313C2×D4C24×C8912yes—
1314C2×D4C24×C8914yes—
1315C2×D4C24×C8914yes—
1316C2×D4C24×C8918yes—
1317C2×D4C24×C8918yes—
1318C2×D4C24×C8914yes—
1319C2×D4C24×C8918yes—
1320C2×D4C24×C8914yes—
1321C2×D4C24×C8918yes—
1322C2×D4C24×C8911yescharacteristic
1323C22×C4—42no—
1324C22×C4—44no—
1325C22×C4—42no—
1326C22×C4—48no—
1327C22×C4—44no—
1328C22×C4—82no—
1329C22×C4C24×C8911yescharacteristic
1330C22×C4C24×C8912yes—
1331C22×C4C24×C8911yescharacteristic
1332C22×C4C24×C8912yes—
1333C22×C4C24×C8914yes—
1334C22×C4C24×C8914yes—
1335C22×C4C24×C8912yes—
1336C22×C4C24×C8914yes—
1337C22×C4C24×C8912yes—
1338C22×C4C24×C8911yescharacteristic
1339C22×C4C24×C8912yes—
1340C22×C4C24×C8912yes—
1341C22×C4C24×C8912yes—
1342C22×C4C24×C8911yescharacteristic
1343C22×C4C24×C8914yes—
1344C22×C4C24×C8912yes—
1345C22×C4C24×C8918yes—
1346C22×C4C24×C8918yes—
1347C22×C4C24×C8914yes—
1348C22×C4C24×C8918yes—
1349C22×C4C24×C8918yes—
1350C22×C4C24×C8914yes—
1351C22×C4C24×C8912yes—
1352C22×C4C24×C8911yescharacteristic
1353C22×C4C24×C8914yes—
1354C22×C4C24×C8914yes—
1355C22×C4C24×C8918yes—
1356C4⋊C4C24×C8914yes—
1357C4⋊C4C24×C8912yes—
1358C4⋊C4C24×C8914yes—
1359C4⋊C4C24×C8912yes—
1360C4⋊C4C24×C8912yes—
1361C4⋊C4C24×C8918yes—
1362C4⋊C4C24×C8918yes—
1363C4⋊C4C24×C8914yes—
1364C4⋊C4C24×C8914yes—
1365C4⋊C4C24×C8914yes—
1366C4⋊C4C24×C8914yes—
1367C4⋊C4C24×C8914yes—
1368C4⋊C4C24×C8912yes—
1369C4⋊C4C24×C8918yes—
1370C4⋊C4C24×C8912yes—
1371C4⋊C4C24×C8912yes—
1372C4⋊C4C24×C8914yes—
1373C4⋊C4C24×C8918yes—
1374C4⋊C4C24×C8914yes—
1375C4⋊C4C24×C8918yes—
1376C4⋊C4C24×C8914yes—
1377C4⋊C4C24×C8914yes—
1378C22⋊C4C24×C8914yes—
1379C22⋊C4C24×C8918yes—
1380C22⋊C4C24×C8914yes—
1381C22⋊C4C24×C8914yes—
1382C22⋊C4C24×C8914yes—
1383C22⋊C4C24×C8918yes—
1384C22⋊C4C24×C8918yes—
1385C22⋊C4C24×C8918yes—
1386C22⋊C4C24×C8914yes—
1387C22⋊C4C24×C8914yes—
1388C22⋊C4C24×C8918yes—
1389C22⋊C4C24×C8918yes—
1390C22⋊C4C24×C8914yes—
1391C22⋊C4C24×C8914yes—
1392C22⋊C4C24×C8918yes—
1393C22⋊C4C24×C8918yes—
1394C22⋊C4C24×C8918yes—
1395C22⋊C4C24×C8918yes—
1396C22⋊C4C24×C8918yes—
1397C22⋊C4C24×C8918yes—
1398C22⋊C4C24×C8918yes—
1399C22⋊C4C24×C8914yes—
1400C22⋊C4C24×C8914yes—
1401C22⋊C4C24×C8918yes—
1402C22⋊C4C24×C8918yes—
1403C22⋊C4C24×C8918yes—
1404C22⋊C4C24×C8918yes—
1405C22⋊C4C24×C8918yes—
1406C22⋊C4C24×C8914yes—
1407C22⋊C4C24×C8914yes—
1408C22⋊C4C24×C8914yes—
1409C22⋊C4C24×C8914yes—
1410C42C24×C8914yes—
1411C42C24×C8912yes—
1412C42C24×C8914yes—
1413C42C24×C8912yes—
1414C42C24×C8918yes—
1415C42C24×C8918yes—
1416C23—24no—
1417C23—28no—
1418C23—28no—
1419C23—24no—
1420C23—24no—
1421C23—22no—
1422C23—216no—
1423C23—28no—
1424C23—24no—
1425C23—28no—
1426C23—41no—
1427C23—42no—
1428C23—42no—
1429C23—41no—
1430C23—44no—
1431C23—42no—
1432C23—41no—
1433C23—42no—
1434C23—44no—
1435C23—44no—
1436C23—48no—
1437C23—48no—
1438C23—48no—
1439C23—41no—
1440C23—42no—
1441C23—48no—
1442C23—44no—
1443C23—44no—
1444C23—48no—
1445C23—44no—
1446C23—44no—
1447C23—44no—
1448C23—816no—
1449C23—832no—
1450C23H(5,𝔽2)×C8914yescomplemented
1451C23C25×C8914yes—
1452C23C25×C8914yes—
1453C23C25×C8918yes—
1454C23C25×C8912yes—
1455C23C25×C8912yes—
1456C23C25×C8912yes—
1457C23C25×C8912yes—
1458C23C25×C8911yescharacteristic
1459Q8—24no—
1460Q8—42no—
1461Q8—42no—
1462Q8—44no—
1463Q8—42no—
1464D4—28no—
1465D4—28no—
1466D4—28no—
1467D4—216no—
1468D4—216no—
1469D4—216no—
1470D4—28no—
1471D4—24no—
1472D4—28no—
1473D4—24no—
1474D4—28no—
1475D4—22no—
1476D4—44no—
1477D4—48no—
1478D4—44no—
1479D4—48no—
1480D4—48no—
1481D4—48no—
1482D4—48no—
1483D4—42no—
1484D4—42no—
1485D4—44no—
1486D4—44no—
1487D4—48no—
1488D4—44no—
1489D4—48no—
1490D4—44no—
1491D4—48no—
1492D4—48no—
1493D4—42no—
1494D4—48no—
1495D4—44no—
1496D4—44no—
1497D4—48no—
1498D4H(5,𝔽2)×C8914yescomplemented
1499C2×C4—24no—
1500C2×C4—28no—
1501C2×C4—28no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—28no—
1506C2×C4—24no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—48no—
1510C2×C4—44no—
1511C2×C4—48no—
1512C2×C4—42no—
1513C2×C4—42no—
1514C2×C4—42no—
1515C2×C4—42no—
1516C2×C4—44no—
1517C2×C4—41no—
1518C2×C4—42no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—48no—
1523C2×C4—48no—
1524C2×C4—42no—
1525C2×C4—48no—
1526C2×C4C25×C8914yes—
1527C2×C4C25×C8912yes—
1528C2×C4C25×C8914yes—
1529C2×C4C25×C8912yes—
1530C2×C4C25×C8911yescharacteristic
1531C2×C4C25×C8914yes—
1532C2×C4C25×C8914yes—
1533C2×C4C25×C8918yes—
1534C2×C4C25×C8914yes—
1535C2×C4C25×C8912yes—
1536C2×C4C25×C8912yes—
1537C2×C4C25×C8911yescharacteristic
1538C22—21no—
1539C22—22no—
1540C22—22no—
1541C22—21no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—24no—
1546C22—22no—
1547C22—22no—
1548C22—24no—
1549C22—28no—
1550C22—28no—
1551C22—24no—
1552C22—24no—
1553C22—22no—
1554C22—22no—
1555C22—28no—
1556C22—22no—
1557C22—24no—
1558C22—24no—
1559C22—44no—
1560C22—416no—
1561C22—48no—
1562C22—48no—
1563C22—88no—
1564C22—88no—
1565C22—816no—
1566C22—84no—
1567C22—82no—
1568C22—816no—
1569C22—164no—
1570C22C2×H(5,𝔽2)×C8914yes—
1571C22C2×H(5,𝔽2)×C8914yes—
1572C22C2×H(5,𝔽2)×C8912yes—
1573C22C26×C8911yescharacteristic
1574C4—22no—
1575C4—24no—
1576C4—22no—
1577C4—28no—
1578C4—24no—
1579C4—22no—
1580C4—21no—
1581C4—24no—
1582C4—24no—
1583C4—22no—
1584C4—24no—
1585C4C2×H(5,𝔽2)×C8912yes—
1586C2—24no—
1587C2—24no—
1588C2—22no—
1589C2—42no—
1590C2—44no—
1591C2—44no—
1592C2—48no—
1593C2—42no—
1594C2C22×H(5,𝔽2)×C8911yescharacteristic
1595C2C22×H(5,𝔽2)×C8911yescharacteristic
1596C2C89×H(7,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C89C26
commutator, Frattini, cosocleC22C26×C89
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C89 ◁ G

Complements

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

NH ≅ G/Ntype
1. C89×#3558C2semidirect
2. C89×#3543C2semidirect
3. C89×#3542C2semidirect
4. C89×#3537C2semidirect
5. C89×#3537C2semidirect
6. C89×#3534C2semidirect
7. C89×#3534C2semidirect
8. C89×#3532C2semidirect
9. C89×#3519C2semidirect
10. C89×#3513C2semidirect
11. C89×#3505C2semidirect
12. C89×#3496C2semidirect
13. C89×#3490C2semidirect
14. C89×#3488C2semidirect
15. C89×#3484C2semidirect
16. C89×#3484C2semidirect
17. C2×#546×C89C2semidirect
18. C2×D42×C89C2semidirect
19. C89×#3459C2semidirect
20. C2×#534×C89C2semidirect
21. C2×H(5,𝔽2)×C89C22semidirect
22. C2×H(5,𝔽2)×C89C22semidirect
23. C22×#41×C89C22semidirect
24. C23×D4×C89C22semidirect
25. C23×D4×C89C22semidirect
26. C23×D4×C89C22semidirect
27. #562×C89C22semidirect
28. #562×C89C22semidirect
29. H(3,𝔽4)×C89C22semidirect
30. #560×C89C22semidirect
31. #560×C89C22semidirect
32. #560×C89C22semidirect
33. #560×C89C22semidirect
34. #559×C89C22semidirect
35. #555×C89C22semidirect
36. #554×C89C22semidirect
37. #553×C89C22semidirect
38. #553×C89C22semidirect
39. #553×C89C22semidirect
40. #553×C89C22semidirect
41. #553×C89C22semidirect
42. #552×C89C22semidirect
43. #551×C89C22semidirect
44. #551×C89C22semidirect
45. #551×C89C22semidirect
46. #551×C89C22semidirect
47. #550×C89C22semidirect
48. #550×C89C22semidirect
49. #548×C89C22semidirect
50. #547×C89C22semidirect
51. #546×C89C22semidirect
52. #546×C89C22semidirect
53. #546×C89C22semidirect
54. #546×C89C22semidirect
55. #546×C89C22semidirect
56. #546×C89C22semidirect
57. #546×C89C22semidirect
58. #546×C89C22semidirect
59. #546×C89C22semidirect
60. #546×C89C22semidirect
61. #546×C89C22semidirect
62. #546×C89C22semidirect
63. #546×C89C22semidirect
64. #546×C89C22semidirect
65. #546×C89C22semidirect
66. #546×C89C22semidirect
67. D42×C89C22semidirect
68. D42×C89C22semidirect
69. D42×C89C22semidirect
70. D42×C89C22semidirect
71. D42×C89C22semidirect
72. D42×C89C22semidirect
73. D42×C89C22semidirect
74. D42×C89C22semidirect
75. D42×C89C22semidirect
76. D42×C89C22semidirect
77. D42×C89C22semidirect
78. D42×C89C22semidirect
79. D42×C89C22semidirect
80. D42×C89C22semidirect
81. #543×C89C22semidirect
82. #542×C89C22semidirect
83. #540×C89C22semidirect
84. #540×C89C22semidirect
85. #540×C89C22semidirect
86. #540×C89C22semidirect
87. #539×C89C22semidirect
88. #539×C89C22semidirect
89. #539×C89C22semidirect
90. #539×C89C22semidirect
91. #538×C89C22semidirect
92. #538×C89C22semidirect
93. #538×C89C22semidirect
94. #538×C89C22semidirect
95. #538×C89C22semidirect
96. #538×C89C22semidirect
97. #538×C89C22semidirect
98. #538×C89C22semidirect
99. #538×C89C22semidirect
100. #538×C89C22semidirect
101. #537×C89C22semidirect
102. #537×C89C22semidirect
103. #537×C89C22semidirect
104. #535×C89C22semidirect
105. #535×C89C22semidirect
106. #535×C89C22semidirect
107. #535×C89C22semidirect
108. #535×C89C22semidirect
109. #535×C89C22semidirect
110. #534×C89C22semidirect
111. #534×C89C22semidirect
112. #534×C89C22semidirect
113. #534×C89C22semidirect
114. #534×C89C22semidirect
115. #534×C89C22semidirect
116. #534×C89C22semidirect
117. #534×C89C22semidirect
118. #534×C89C22semidirect
119. #534×C89C22semidirect
120. #534×C89C22semidirect
121. #534×C89C22semidirect
122. #534×C89C22semidirect
123. #532×C89C22semidirect
124. C2×#127×C89C22semidirect
125. #529×C89C22semidirect
126. #529×C89C22semidirect
127. #529×C89C22semidirect
128. C2×#124×C89C22semidirect
129. #525×C89C22semidirect
130. #525×C89C22semidirect
131. #525×C89C22semidirect
132. #525×C89C22semidirect
133. #525×C89C22semidirect
134. #525×C89C22semidirect
135. C2×#123×C89C22semidirect
136. C2×#123×C89C22semidirect
137. C2×C22⋊Q8×C89C22semidirect
138. C2×#121×C89C22semidirect
139. C2×#121×C89C22semidirect
140. C2×#121×C89C22semidirect
141. C2×#121×C89C22semidirect
142. C2×#121×C89C22semidirect
143. C2×#121×C89C22semidirect
144. C2×#121×C89C22semidirect
145. C2×#121×C89C22semidirect
146. C2×#120×C89C22semidirect
147. C2×#120×C89C22semidirect
148. C2×#120×C89C22semidirect
149. C2×#120×C89C22semidirect
150. C2×#120×C89C22semidirect
151. #520×C89C22semidirect
152. #518×C89C22semidirect
153. #518×C89C22semidirect
154. C2×C4×D4×C89C22semidirect
155. C2×C4×D4×C89C22semidirect
156. C2×C4×D4×C89C22semidirect
157. C2×C4×D4×C89C22semidirect
158. C22×C22⋊C4×C89C22semidirect
160. C25×C89C23semidirect
165. C2×#41×C89C23semidirect
166. C2×#41×C89C23semidirect
167. C2×#41×C89C23semidirect
168. C2×#41×C89C23semidirect
169. C2×#41×C89C23semidirect
170. C2×#41×C89C23semidirect
171. C2×#41×C89C23semidirect
172. C2×#41×C89C23semidirect
173. C22×Q8×C89C23semidirect
189. C22×D4×C89C23semidirect
190. C22×D4×C89C23semidirect
191. C22×D4×C89C23semidirect
192. C22×D4×C89C23semidirect
193. C22×D4×C89C23semidirect
194. C22×D4×C89C23semidirect
195. C22×D4×C89C23semidirect
196. C22×D4×C89C23semidirect
197. C22×D4×C89C23semidirect
198. C22×D4×C89C23semidirect
199. C22×D4×C89C23semidirect
200. C22×D4×C89C23semidirect
201. C22×D4×C89C23semidirect
202. C22×D4×C89C23semidirect
203. C22×D4×C89C23semidirect
204. C22×D4×C89C23semidirect
205. C22×D4×C89C23semidirect
206. C22×D4×C89C23semidirect
208. C23×C4×C89C23semidirect
209. C23×C4×C89C23semidirect
210. C23×C4×C89C23semidirect
211. C23×C4×C89C23semidirect
212. C23×C4×C89C23semidirect
213. C4⋊Q8×C89C23semidirect
215. #127×C89C23semidirect
216. #127×C89C23semidirect
217. #127×C89C23semidirect
218. #127×C89C23semidirect
219. #127×C89C23semidirect
220. #126×C89C23semidirect
221. #126×C89C23semidirect
222. #126×C89C23semidirect
223. #126×C89C23semidirect
224. #126×C89C23semidirect
225. #126×C89C23semidirect
226. #126×C89C23semidirect
227. #126×C89C23semidirect
228. #125×C89C23semidirect
229. #125×C89C23semidirect
230. #125×C89C23semidirect
231. #125×C89C23semidirect
232. #124×C89C23semidirect
233. #124×C89C23semidirect
234. #124×C89C23semidirect
235. #124×C89C23semidirect
236. #124×C89C23semidirect
237. #124×C89C23semidirect
238. #124×C89C23semidirect
239. #124×C89C23semidirect
240. #124×C89C23semidirect
241. #124×C89C23semidirect
242. #124×C89C23semidirect
245. #123×C89C23semidirect
246. #123×C89C23semidirect
247. #123×C89C23semidirect
248. #123×C89C23semidirect
249. #123×C89C23semidirect
250. #123×C89C23semidirect
251. #123×C89C23semidirect
252. #123×C89C23semidirect
253. #123×C89C23semidirect
254. #123×C89C23semidirect
255. #123×C89C23semidirect
256. #123×C89C23semidirect
257. #123×C89C23semidirect
258. #123×C89C23semidirect
259. #123×C89C23semidirect
260. #123×C89C23semidirect
261. #123×C89C23semidirect
262. #123×C89C23semidirect
263. #123×C89C23semidirect
264. #123×C89C23semidirect
265. #123×C89C23semidirect
266. #123×C89C23semidirect
267. #123×C89C23semidirect
268. C22⋊Q8×C89C23semidirect
269. C22⋊Q8×C89C23semidirect
270. C22⋊Q8×C89C23semidirect
271. C22⋊Q8×C89C23semidirect
272. C22⋊Q8×C89C23semidirect
273. C22⋊Q8×C89C23semidirect
274. C22⋊Q8×C89C23semidirect
275. C22⋊Q8×C89C23semidirect
276. C22⋊Q8×C89C23semidirect
277. C22⋊Q8×C89C23semidirect
278. C22⋊Q8×C89C23semidirect
279. C22⋊Q8×C89C23semidirect
280. C22⋊Q8×C89C23semidirect
281. C22⋊Q8×C89C23semidirect
282. C22⋊Q8×C89C23semidirect
291. #121×C89C23semidirect
292. #121×C89C23semidirect
293. #121×C89C23semidirect
294. #121×C89C23semidirect
295. #121×C89C23semidirect
296. #121×C89C23semidirect
297. #121×C89C23semidirect
298. #121×C89C23semidirect
299. #121×C89C23semidirect
300. #121×C89C23semidirect
301. #121×C89C23semidirect
302. #121×C89C23semidirect
303. #121×C89C23semidirect
304. #121×C89C23semidirect
305. #121×C89C23semidirect
306. #121×C89C23semidirect
307. #121×C89C23semidirect
308. #121×C89C23semidirect
309. #121×C89C23semidirect
310. #121×C89C23semidirect
311. #121×C89C23semidirect
312. #121×C89C23semidirect
313. #121×C89C23semidirect
314. #121×C89C23semidirect
315. #121×C89C23semidirect
316. #121×C89C23semidirect
317. #121×C89C23semidirect
318. #121×C89C23semidirect
319. #121×C89C23semidirect
320. #121×C89C23semidirect
321. #121×C89C23semidirect
322. #121×C89C23semidirect
323. #121×C89C23semidirect
324. #121×C89C23semidirect
325. #121×C89C23semidirect
326. #121×C89C23semidirect
327. #121×C89C23semidirect
328. #121×C89C23semidirect
329. #121×C89C23semidirect
330. #121×C89C23semidirect
331. #121×C89C23semidirect
332. #121×C89C23semidirect
338. #120×C89C23semidirect
339. #120×C89C23semidirect
340. #120×C89C23semidirect
341. #120×C89C23semidirect
342. #120×C89C23semidirect
343. #120×C89C23semidirect
344. #120×C89C23semidirect
345. #120×C89C23semidirect
346. #120×C89C23semidirect
347. #120×C89C23semidirect
348. #120×C89C23semidirect
349. #120×C89C23semidirect
350. #120×C89C23semidirect
351. #120×C89C23semidirect
352. #120×C89C23semidirect
353. #120×C89C23semidirect
354. #120×C89C23semidirect
355. #120×C89C23semidirect
356. #120×C89C23semidirect
357. #120×C89C23semidirect
358. #120×C89C23semidirect
359. #120×C89C23semidirect
360. C4×Q8×C89C23semidirect
361. C4×Q8×C89C23semidirect
366. C4×D4×C89C23semidirect
367. C4×D4×C89C23semidirect
368. C4×D4×C89C23semidirect
369. C4×D4×C89C23semidirect
370. C4×D4×C89C23semidirect
371. C4×D4×C89C23semidirect
372. C4×D4×C89C23semidirect
373. C4×D4×C89C23semidirect
374. C4×D4×C89C23semidirect
375. C4×D4×C89C23semidirect
376. C4×D4×C89C23semidirect
377. C4×D4×C89C23semidirect
378. C4×D4×C89C23semidirect
379. C4×D4×C89C23semidirect
380. C4×D4×C89C23semidirect
381. C4×D4×C89C23semidirect
382. C4×D4×C89C23semidirect
383. C4×D4×C89C23semidirect
384. C4×D4×C89C23semidirect
385. C4×D4×C89C23semidirect
386. C4×D4×C89C23semidirect
387. C4×D4×C89C23semidirect
388. C4×D4×C89C23semidirect
389. C4×D4×C89C23semidirect
390. #117×C89C23semidirect
391. #117×C89C23semidirect
392. #117×C89C23semidirect
393. #117×C89C23semidirect
394. #117×C89C23semidirect
395. #117×C89C23semidirect
396. #117×C89C23semidirect
397. C2×C4⋊C4×C89C23semidirect
398. C2×C4⋊C4×C89C23semidirect
399. C2×C4⋊C4×C89C23semidirect
400. C2×C4⋊C4×C89C23semidirect
401. C2×C4⋊C4×C89C23semidirect
402. C2×C4⋊C4×C89C23semidirect
403. C2×C4⋊C4×C89C23semidirect
404. C2×C4⋊C4×C89C23semidirect
408. C2×C22⋊C4×C89C23semidirect
409. C2×C22⋊C4×C89C23semidirect
410. C2×C22⋊C4×C89C23semidirect
411. C2×C22⋊C4×C89C23semidirect
412. C2×C22⋊C4×C89C23semidirect
413. C2×C22⋊C4×C89C23semidirect
414. C2×C22⋊C4×C89C23semidirect
415. C2×C22⋊C4×C89C23semidirect
416. C2×C22⋊C4×C89C23semidirect
417. C2×C22⋊C4×C89C23semidirect
418. C2×C22⋊C4×C89C23semidirect
419. C2×C22⋊C4×C89C23semidirect
420. C2×C22⋊C4×C89C23semidirect
421. C2×C22⋊C4×C89C23semidirect
422. C2×C22⋊C4×C89C23semidirect
423. C2×C22⋊C4×C89C23semidirect
424. C2×C22⋊C4×C89C23semidirect
425. C2×C42×C89C23semidirect
426. C2×C42×C89C23semidirect
651. C23×C89H(5,𝔽2)semidirect
699. D4×C89H(5,𝔽2)semidirect
787. #62892C89direct (N × H)
799. #3558C2×C89semidirect
800. #3543C2×C89semidirect
801. #3542C2×C89semidirect
802. #3537C2×C89semidirect
803. #3537C2×C89semidirect
804. #3534C2×C89semidirect
805. #3534C2×C89semidirect
806. #3532C2×C89semidirect
807. #3519C2×C89semidirect
808. #3513C2×C89semidirect
809. #3505C2×C89semidirect
810. #3496C2×C89semidirect
811. #3490C2×C89semidirect
812. #3488C2×C89semidirect
813. #3484C2×C89semidirect
814. #3484C2×C89semidirect
815. C2×#546C2×C89semidirect
816. C2×D42C2×C89semidirect
817. #3459C2×C89semidirect
818. C2×#534C2×C89semidirect
819. C89#62892direct (N × H)
820. C2×H(5,𝔽2)C22×C89semidirect
821. C2×H(5,𝔽2)C22×C89semidirect
822. C22×#41C22×C89semidirect
823. C23×D4C22×C89semidirect
824. C23×D4C22×C89semidirect
825. C23×D4C22×C89semidirect
826. #562C22×C89semidirect
827. #562C22×C89semidirect
828. H(3,𝔽4)C22×C89semidirect
829. #560C22×C89semidirect
830. #560C22×C89semidirect
831. #560C22×C89semidirect
832. #560C22×C89semidirect
833. #559C22×C89semidirect
834. #555C22×C89semidirect
835. #554C22×C89semidirect
836. #553C22×C89semidirect
837. #553C22×C89semidirect
838. #553C22×C89semidirect
839. #553C22×C89semidirect
840. #553C22×C89semidirect
841. #552C22×C89semidirect
842. #551C22×C89semidirect
843. #551C22×C89semidirect
844. #551C22×C89semidirect
845. #551C22×C89semidirect
846. #550C22×C89semidirect
847. #550C22×C89semidirect
848. #548C22×C89semidirect
849. #547C22×C89semidirect
850. #546C22×C89semidirect
851. #546C22×C89semidirect
852. #546C22×C89semidirect
853. #546C22×C89semidirect
854. #546C22×C89semidirect
855. #546C22×C89semidirect
856. #546C22×C89semidirect
857. #546C22×C89semidirect
858. #546C22×C89semidirect
859. #546C22×C89semidirect
860. #546C22×C89semidirect
861. #546C22×C89semidirect
862. #546C22×C89semidirect
863. #546C22×C89semidirect
864. #546C22×C89semidirect
865. #546C22×C89semidirect
866. D42C22×C89semidirect
867. D42C22×C89semidirect
868. D42C22×C89semidirect
869. D42C22×C89semidirect
870. D42C22×C89semidirect
871. D42C22×C89semidirect
872. D42C22×C89semidirect
873. D42C22×C89semidirect
874. D42C22×C89semidirect
875. D42C22×C89semidirect
876. D42C22×C89semidirect
877. D42C22×C89semidirect
878. D42C22×C89semidirect
879. D42C22×C89semidirect
880. #543C22×C89semidirect
881. #542C22×C89semidirect
882. #540C22×C89semidirect
883. #540C22×C89semidirect
884. #540C22×C89semidirect
885. #540C22×C89semidirect
886. #539C22×C89semidirect
887. #539C22×C89semidirect
888. #539C22×C89semidirect
889. #539C22×C89semidirect
890. #538C22×C89semidirect
891. #538C22×C89semidirect
892. #538C22×C89semidirect
893. #538C22×C89semidirect
894. #538C22×C89semidirect
895. #538C22×C89semidirect
896. #538C22×C89semidirect
897. #538C22×C89semidirect
898. #538C22×C89semidirect
899. #538C22×C89semidirect
900. #537C22×C89semidirect
901. #537C22×C89semidirect
902. #537C22×C89semidirect
903. #535C22×C89semidirect
904. #535C22×C89semidirect
905. #535C22×C89semidirect
906. #535C22×C89semidirect
907. #535C22×C89semidirect
908. #535C22×C89semidirect
909. #534C22×C89semidirect
910. #534C22×C89semidirect
911. #534C22×C89semidirect
912. #534C22×C89semidirect
913. #534C22×C89semidirect
914. #534C22×C89semidirect
915. #534C22×C89semidirect
916. #534C22×C89semidirect
917. #534C22×C89semidirect
918. #534C22×C89semidirect
919. #534C22×C89semidirect
920. #534C22×C89semidirect
921. #534C22×C89semidirect
922. #532C22×C89semidirect
923. C2×#127C22×C89semidirect
924. #529C22×C89semidirect
925. #529C22×C89semidirect
926. #529C22×C89semidirect
927. C2×#124C22×C89semidirect
928. #525C22×C89semidirect
929. #525C22×C89semidirect
930. #525C22×C89semidirect
931. #525C22×C89semidirect
932. #525C22×C89semidirect
933. #525C22×C89semidirect
934. C2×#123C22×C89semidirect
935. C2×#123C22×C89semidirect
936. C2×C22⋊Q8C22×C89semidirect
937. C2×#121C22×C89semidirect
938. C2×#121C22×C89semidirect
939. C2×#121C22×C89semidirect
940. C2×#121C22×C89semidirect
941. C2×#121C22×C89semidirect
942. C2×#121C22×C89semidirect
943. C2×#121C22×C89semidirect
944. C2×#121C22×C89semidirect
945. C2×#120C22×C89semidirect
946. C2×#120C22×C89semidirect
947. C2×#120C22×C89semidirect
948. C2×#120C22×C89semidirect
949. C2×#120C22×C89semidirect
950. #520C22×C89semidirect
951. #518C22×C89semidirect
952. #518C22×C89semidirect
953. C2×C4×D4C22×C89semidirect
954. C2×C4×D4C22×C89semidirect
955. C2×C4×D4C22×C89semidirect
956. C2×C4×D4C22×C89semidirect
957. C22×C22⋊C4C22×C89semidirect
959. C25C23×C89semidirect
964. C2×#41C23×C89semidirect
965. C2×#41C23×C89semidirect
966. C2×#41C23×C89semidirect
967. C2×#41C23×C89semidirect
968. C2×#41C23×C89semidirect
969. C2×#41C23×C89semidirect
970. C2×#41C23×C89semidirect
971. C2×#41C23×C89semidirect
972. C22×Q8C23×C89semidirect
988. C22×D4C23×C89semidirect
989. C22×D4C23×C89semidirect
990. C22×D4C23×C89semidirect
991. C22×D4C23×C89semidirect
992. C22×D4C23×C89semidirect
993. C22×D4C23×C89semidirect
994. C22×D4C23×C89semidirect
995. C22×D4C23×C89semidirect
996. C22×D4C23×C89semidirect
997. C22×D4C23×C89semidirect
998. C22×D4C23×C89semidirect
999. C22×D4C23×C89semidirect
1000. C22×D4C23×C89semidirect
1001. C22×D4C23×C89semidirect
1002. C22×D4C23×C89semidirect
1003. C22×D4C23×C89semidirect
1004. C22×D4C23×C89semidirect
1005. C22×D4C23×C89semidirect
1007. C23×C4C23×C89semidirect
1008. C23×C4C23×C89semidirect
1009. C23×C4C23×C89semidirect
1010. C23×C4C23×C89semidirect
1011. C23×C4C23×C89semidirect
1012. C4⋊Q8C23×C89semidirect
1014. #127C23×C89semidirect
1015. #127C23×C89semidirect
1016. #127C23×C89semidirect
1017. #127C23×C89semidirect
1018. #127C23×C89semidirect
1019. #126C23×C89semidirect
1020. #126C23×C89semidirect
1021. #126C23×C89semidirect
1022. #126C23×C89semidirect
1023. #126C23×C89semidirect
1024. #126C23×C89semidirect
1025. #126C23×C89semidirect
1026. #126C23×C89semidirect
1027. #125C23×C89semidirect
1028. #125C23×C89semidirect
1029. #125C23×C89semidirect
1030. #125C23×C89semidirect
1031. #124C23×C89semidirect
1032. #124C23×C89semidirect
1033. #124C23×C89semidirect
1034. #124C23×C89semidirect
1035. #124C23×C89semidirect
1036. #124C23×C89semidirect
1037. #124C23×C89semidirect
1038. #124C23×C89semidirect
1039. #124C23×C89semidirect
1040. #124C23×C89semidirect
1041. #124C23×C89semidirect
1044. #123C23×C89semidirect
1045. #123C23×C89semidirect
1046. #123C23×C89semidirect
1047. #123C23×C89semidirect
1048. #123C23×C89semidirect
1049. #123C23×C89semidirect
1050. #123C23×C89semidirect
1051. #123C23×C89semidirect
1052. #123C23×C89semidirect
1053. #123C23×C89semidirect
1054. #123C23×C89semidirect
1055. #123C23×C89semidirect
1056. #123C23×C89semidirect
1057. #123C23×C89semidirect
1058. #123C23×C89semidirect
1059. #123C23×C89semidirect
1060. #123C23×C89semidirect
1061. #123C23×C89semidirect
1062. #123C23×C89semidirect
1063. #123C23×C89semidirect
1064. #123C23×C89semidirect
1065. #123C23×C89semidirect
1066. #123C23×C89semidirect
1067. C22⋊Q8C23×C89semidirect
1068. C22⋊Q8C23×C89semidirect
1069. C22⋊Q8C23×C89semidirect
1070. C22⋊Q8C23×C89semidirect
1071. C22⋊Q8C23×C89semidirect
1072. C22⋊Q8C23×C89semidirect
1073. C22⋊Q8C23×C89semidirect
1074. C22⋊Q8C23×C89semidirect
1075. C22⋊Q8C23×C89semidirect
1076. C22⋊Q8C23×C89semidirect
1077. C22⋊Q8C23×C89semidirect
1078. C22⋊Q8C23×C89semidirect
1079. C22⋊Q8C23×C89semidirect
1080. C22⋊Q8C23×C89semidirect
1081. C22⋊Q8C23×C89semidirect
1090. #121C23×C89semidirect
1091. #121C23×C89semidirect
1092. #121C23×C89semidirect
1093. #121C23×C89semidirect
1094. #121C23×C89semidirect
1095. #121C23×C89semidirect
1096. #121C23×C89semidirect
1097. #121C23×C89semidirect
1098. #121C23×C89semidirect
1099. #121C23×C89semidirect
1100. #121C23×C89semidirect
1101. #121C23×C89semidirect
1102. #121C23×C89semidirect
1103. #121C23×C89semidirect
1104. #121C23×C89semidirect
1105. #121C23×C89semidirect
1106. #121C23×C89semidirect
1107. #121C23×C89semidirect
1108. #121C23×C89semidirect
1109. #121C23×C89semidirect
1110. #121C23×C89semidirect
1111. #121C23×C89semidirect
1112. #121C23×C89semidirect
1113. #121C23×C89semidirect
1114. #121C23×C89semidirect
1115. #121C23×C89semidirect
1116. #121C23×C89semidirect
1117. #121C23×C89semidirect
1118. #121C23×C89semidirect
1119. #121C23×C89semidirect
1120. #121C23×C89semidirect
1121. #121C23×C89semidirect
1122. #121C23×C89semidirect
1123. #121C23×C89semidirect
1124. #121C23×C89semidirect
1125. #121C23×C89semidirect
1126. #121C23×C89semidirect
1127. #121C23×C89semidirect
1128. #121C23×C89semidirect
1129. #121C23×C89semidirect
1130. #121C23×C89semidirect
1131. #121C23×C89semidirect
1137. #120C23×C89semidirect
1138. #120C23×C89semidirect
1139. #120C23×C89semidirect
1140. #120C23×C89semidirect
1141. #120C23×C89semidirect
1142. #120C23×C89semidirect
1143. #120C23×C89semidirect
1144. #120C23×C89semidirect
1145. #120C23×C89semidirect
1146. #120C23×C89semidirect
1147. #120C23×C89semidirect
1148. #120C23×C89semidirect
1149. #120C23×C89semidirect
1150. #120C23×C89semidirect
1151. #120C23×C89semidirect
1152. #120C23×C89semidirect
1153. #120C23×C89semidirect
1154. #120C23×C89semidirect
1155. #120C23×C89semidirect
1156. #120C23×C89semidirect
1157. #120C23×C89semidirect
1158. #120C23×C89semidirect
1159. C4×Q8C23×C89semidirect
1160. C4×Q8C23×C89semidirect
1165. C4×D4C23×C89semidirect
1166. C4×D4C23×C89semidirect
1167. C4×D4C23×C89semidirect
1168. C4×D4C23×C89semidirect
1169. C4×D4C23×C89semidirect
1170. C4×D4C23×C89semidirect
1171. C4×D4C23×C89semidirect
1172. C4×D4C23×C89semidirect
1173. C4×D4C23×C89semidirect
1174. C4×D4C23×C89semidirect
1175. C4×D4C23×C89semidirect
1176. C4×D4C23×C89semidirect
1177. C4×D4C23×C89semidirect
1178. C4×D4C23×C89semidirect
1179. C4×D4C23×C89semidirect
1180. C4×D4C23×C89semidirect
1181. C4×D4C23×C89semidirect
1182. C4×D4C23×C89semidirect
1183. C4×D4C23×C89semidirect
1184. C4×D4C23×C89semidirect
1185. C4×D4C23×C89semidirect
1186. C4×D4C23×C89semidirect
1187. C4×D4C23×C89semidirect
1188. C4×D4C23×C89semidirect
1189. #117C23×C89semidirect
1190. #117C23×C89semidirect
1191. #117C23×C89semidirect
1192. #117C23×C89semidirect
1193. #117C23×C89semidirect
1194. #117C23×C89semidirect
1195. #117C23×C89semidirect
1196. C2×C4⋊C4C23×C89semidirect
1197. C2×C4⋊C4C23×C89semidirect
1198. C2×C4⋊C4C23×C89semidirect
1199. C2×C4⋊C4C23×C89semidirect
1200. C2×C4⋊C4C23×C89semidirect
1201. C2×C4⋊C4C23×C89semidirect
1202. C2×C4⋊C4C23×C89semidirect
1203. C2×C4⋊C4C23×C89semidirect
1207. C2×C22⋊C4C23×C89semidirect
1208. C2×C22⋊C4C23×C89semidirect
1209. C2×C22⋊C4C23×C89semidirect
1210. C2×C22⋊C4C23×C89semidirect
1211. C2×C22⋊C4C23×C89semidirect
1212. C2×C22⋊C4C23×C89semidirect
1213. C2×C22⋊C4C23×C89semidirect
1214. C2×C22⋊C4C23×C89semidirect
1215. C2×C22⋊C4C23×C89semidirect
1216. C2×C22⋊C4C23×C89semidirect
1217. C2×C22⋊C4C23×C89semidirect
1218. C2×C22⋊C4C23×C89semidirect
1219. C2×C22⋊C4C23×C89semidirect
1220. C2×C22⋊C4C23×C89semidirect
1221. C2×C22⋊C4C23×C89semidirect
1222. C2×C22⋊C4C23×C89semidirect
1223. C2×C22⋊C4C23×C89semidirect
1224. C2×C42C23×C89semidirect
1225. C2×C42C23×C89semidirect
1450. C23H(5,𝔽2)×C89semidirect
1498. D4H(5,𝔽2)×C89semidirect

Maximal subgroups

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

subgroupindex
C89×#35582
C89×#35432
C89×#35422
C89×#35372
C89×#35342
C89×#35322
C89×#35192
C89×#35132
C89×#35052
C89×#34962
C89×#34902
C89×#34882
C89×#34842
C2×#546×C892
C2×D42×C892
C89×#34592
C2×#534×C892
#6289289