Finite Group Databasebeta

← C83×#62892 #35290716

Subgroups — C83×#62892 #35290716

Order 21248.

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
1C83×#3558C212yesmaximal, complemented
2C83×#3543C214yesmaximal, complemented
3C83×#3542C214yesmaximal, complemented
4C83×#3537C214yesmaximal, complemented
5C83×#3537C212yesmaximal, complemented
6C83×#3534C218yesmaximal, complemented
7C83×#3534C214yesmaximal, complemented
8C83×#3532C218yesmaximal, complemented
9C83×#3519C212yesmaximal, complemented
10C83×#3513C214yesmaximal, complemented
11C83×#3505C212yesmaximal, complemented
12C83×#3496C211yesmaximal, characteristic, complemented
13C83×#3490C212yesmaximal, complemented
14C83×#3488C212yesmaximal, complemented
15C83×#3484C214yesmaximal, complemented
16C83×#3484C214yesmaximal, complemented
17C2×#546×C83C211yesmaximal, characteristic, complemented
18C2×D42×C83C212yesmaximal, complemented
19C83×#3459C211yesmaximal, characteristic, complemented
20C2×#534×C83C212yesmaximal, complemented
21C2×H(5,𝔽2)×C83C2212yescomplemented
22C2×H(5,𝔽2)×C83C2212yescomplemented
23C22×#41×C83C2211yescharacteristic, complemented
24C23×D4×C83C2211yescharacteristic, complemented
25C23×D4×C83C2214yescomplemented
26C23×D4×C83C2212yescomplemented
27#562×C83C2218yescomplemented
28#562×C83C2214yescomplemented
29H(3,𝔽4)×C83C2214yescomplemented
30#560×C83C2218yescomplemented
31#560×C83C2218yescomplemented
32#560×C83C2218yescomplemented
33#560×C83C2218yescomplemented
34#559×C83C2214yescomplemented
35#555×C83C2212yescomplemented
36#554×C83C2212yescomplemented
37#553×C83C2218yescomplemented
38#553×C83C2214yescomplemented
39#553×C83C2214yescomplemented
40#553×C83C2218yescomplemented
41#553×C83C2214yescomplemented
42#552×C83C2214yescomplemented
43#551×C83C2218yescomplemented
44#551×C83C2218yescomplemented
45#551×C83C2218yescomplemented
46#551×C83C2218yescomplemented
47#550×C83C2214yescomplemented
48#550×C83C2212yescomplemented
49#548×C83C2214yescomplemented
50#547×C83C2214yescomplemented
51#546×C83C2214yescomplemented
52#546×C83C2214yescomplemented
53#546×C83C2214yescomplemented
54#546×C83C2218yescomplemented
55#546×C83C2218yescomplemented
56#546×C83C2218yescomplemented
57#546×C83C2218yescomplemented
58#546×C83C2218yescomplemented
59#546×C83C2218yescomplemented
60#546×C83C2214yescomplemented
61#546×C83C2218yescomplemented
62#546×C83C2214yescomplemented
63#546×C83C2214yescomplemented
64#546×C83C2218yescomplemented
65#546×C83C2218yescomplemented
66#546×C83C2218yescomplemented
67D42×C83C2214yescomplemented
68D42×C83C2218yescomplemented
69D42×C83C2214yescomplemented
70D42×C83C2214yescomplemented
71D42×C83C2212yescomplemented
72D42×C83C2218yescomplemented
73D42×C83C2218yescomplemented
74D42×C83C2218yescomplemented
75D42×C83C2218yescomplemented
76D42×C83C2214yescomplemented
77D42×C83C2214yescomplemented
78D42×C83C2214yescomplemented
79D42×C83C2218yescomplemented
80D42×C83C2218yescomplemented
81#543×C83C2211yescharacteristic, complemented
82#542×C83C2214yescomplemented
83#540×C83C2214yescomplemented
84#540×C83C2218yescomplemented
85#540×C83C2218yescomplemented
86#540×C83C2214yescomplemented
87#539×C83C2214yescomplemented
88#539×C83C2212yescomplemented
89#539×C83C2214yescomplemented
90#539×C83C2218yescomplemented
91#538×C83C2214yescomplemented
92#538×C83C2218yescomplemented
93#538×C83C2214yescomplemented
94#538×C83C2212yescomplemented
95#538×C83C2218yescomplemented
96#538×C83C2218yescomplemented
97#538×C83C2218yescomplemented
98#538×C83C2214yescomplemented
99#538×C83C2214yescomplemented
100#538×C83C2214yescomplemented
101#537×C83C2214yescomplemented
102#537×C83C2212yescomplemented
103#537×C83C2212yescomplemented
104#535×C83C2218yescomplemented
105#535×C83C2214yescomplemented
106#535×C83C2214yescomplemented
107#535×C83C2214yescomplemented
108#535×C83C2218yescomplemented
109#535×C83C2212yescomplemented
110#534×C83C2211yescharacteristic, complemented
111#534×C83C2214yescomplemented
112#534×C83C2212yescomplemented
113#534×C83C2212yescomplemented
114#534×C83C2218yescomplemented
115#534×C83C2218yescomplemented
116#534×C83C2218yescomplemented
117#534×C83C2218yescomplemented
118#534×C83C2214yescomplemented
119#534×C83C2218yescomplemented
120#534×C83C2214yescomplemented
121#534×C83C2214yescomplemented
122#534×C83C2212yescomplemented
123#532×C83C2212yescomplemented
124C2×#127×C83C2212yescomplemented
125#529×C83C2214yescomplemented
126#529×C83C2214yescomplemented
127#529×C83C2212yescomplemented
128C2×#124×C83C2211yescharacteristic, complemented
129#525×C83C2214yescomplemented
130#525×C83C2218yescomplemented
131#525×C83C2212yescomplemented
132#525×C83C2214yescomplemented
133#525×C83C2214yescomplemented
134#525×C83C2214yescomplemented
135C2×#123×C83C2218yescomplemented
136C2×#123×C83C2212yescomplemented
137C2×C22⋊Q8×C83C2211yescharacteristic, complemented
138C2×#121×C83C2212yescomplemented
139C2×#121×C83C2214yescomplemented
140C2×#121×C83C2212yescomplemented
141C2×#121×C83C2214yescomplemented
142C2×#121×C83C2214yescomplemented
143C2×#121×C83C2211yescharacteristic, complemented
144C2×#121×C83C2212yescomplemented
145C2×#121×C83C2212yescomplemented
146C2×#120×C83C2214yescomplemented
147C2×#120×C83C2212yescomplemented
148C2×#120×C83C2214yescomplemented
149C2×#120×C83C2218yescomplemented
150C2×#120×C83C2218yescomplemented
151#520×C83C2212yescomplemented
152#518×C83C2214yescomplemented
153#518×C83C2214yescomplemented
154C2×C4×D4×C83C2212yescomplemented
155C2×C4×D4×C83C2211yescharacteristic, complemented
156C2×C4×D4×C83C2212yescomplemented
157C2×C4×D4×C83C2211yescharacteristic, complemented
158C22×C22⋊C4×C83C2212yescomplemented
159C25×C83C2312yes—
160C25×C83C2314yescomplemented
161H(5,𝔽2)×C83—48no—
162H(5,𝔽2)×C83—48no—
163C2×#41×C83—44no—
164C2×#41×C83C2312yes—
165C2×#41×C83C2312yescomplemented
166C2×#41×C83C2318yescomplemented
167C2×#41×C83C2314yescomplemented
168C2×#41×C83C2314yescomplemented
169C2×#41×C83C2314yescomplemented
170C2×#41×C83C2314yescomplemented
171C2×#41×C83C2312yescomplemented
172C2×#41×C83C2314yescomplemented
173C22×Q8×C83C2311yescharacteristic, complemented
174C22×D4×C83—44no—
175C22×D4×C83—48no—
176C22×D4×C83—416no—
177C22×D4×C83C2311yescharacteristic
178C22×D4×C83C2312yes—
179C22×D4×C83C2311yescharacteristic
180C22×D4×C83C2312yes—
181C22×D4×C83C2314yes—
182C22×D4×C83C2314yes—
183C22×D4×C83C2314yes—
184C22×D4×C83C2318yes—
185C22×D4×C83C2312yes—
186C22×D4×C83C2311yescharacteristic
187C22×D4×C83C2312yes—
188C22×D4×C83C2318yes—
189C22×D4×C83C2314yescomplemented
190C22×D4×C83C2314yescomplemented
191C22×D4×C83C2312yescomplemented
192C22×D4×C83C2314yescomplemented
193C22×D4×C83C2318yescomplemented
194C22×D4×C83C2318yescomplemented
195C22×D4×C83C2318yescomplemented
196C22×D4×C83C2314yescomplemented
197C22×D4×C83C2312yescomplemented
198C22×D4×C83C2314yescomplemented
199C22×D4×C83C2312yescomplemented
200C22×D4×C83C2318yescomplemented
201C22×D4×C83C2318yescomplemented
202C22×D4×C83C2314yescomplemented
203C22×D4×C83C2314yescomplemented
204C22×D4×C83C2314yescomplemented
205C22×D4×C83C2312yescomplemented
206C22×D4×C83C2318yescomplemented
207C23×C4×C83C2311yescharacteristic
208C23×C4×C83C2312yescomplemented
209C23×C4×C83C2311yescharacteristic, complemented
210C23×C4×C83C2314yescomplemented
211C23×C4×C83C2312yescomplemented
212C23×C4×C83C2312yescomplemented
213C4⋊Q8×C83C2312yescomplemented
214#127×C83C2314yes—
215#127×C83C2314yescomplemented
216#127×C83C2318yescomplemented
217#127×C83C2312yescomplemented
218#127×C83C2318yescomplemented
219#127×C83C2318yescomplemented
220#126×C83C2314yescomplemented
221#126×C83C2314yescomplemented
222#126×C83C2318yescomplemented
223#126×C83C2314yescomplemented
224#126×C83C2318yescomplemented
225#126×C83C2318yescomplemented
226#126×C83C2318yescomplemented
227#126×C83C2318yescomplemented
228#125×C83C2314yescomplemented
229#125×C83C2312yescomplemented
230#125×C83C2314yescomplemented
231#125×C83C2318yescomplemented
232#124×C83C2314yescomplemented
233#124×C83C2314yescomplemented
234#124×C83C2314yescomplemented
235#124×C83C2314yescomplemented
236#124×C83C2312yescomplemented
237#124×C83C2314yescomplemented
238#124×C83C2318yescomplemented
239#124×C83C2318yescomplemented
240#124×C83C2318yescomplemented
241#124×C83C2318yescomplemented
242#124×C83C2318yescomplemented
243#123×C83C2314yes—
244#123×C83C2318yes—
245#123×C83C2318yescomplemented
246#123×C83C2318yescomplemented
247#123×C83C2318yescomplemented
248#123×C83C2318yescomplemented
249#123×C83C2318yescomplemented
250#123×C83C2318yescomplemented
251#123×C83C2318yescomplemented
252#123×C83C2318yescomplemented
253#123×C83C2314yescomplemented
254#123×C83C2314yescomplemented
255#123×C83C2314yescomplemented
256#123×C83C2318yescomplemented
257#123×C83C2318yescomplemented
258#123×C83C2314yescomplemented
259#123×C83C2318yescomplemented
260#123×C83C2314yescomplemented
261#123×C83C2318yescomplemented
262#123×C83C2318yescomplemented
263#123×C83C2318yescomplemented
264#123×C83C2318yescomplemented
265#123×C83C2318yescomplemented
266#123×C83C2318yescomplemented
267#123×C83C2318yescomplemented
268C22⋊Q8×C83C2314yescomplemented
269C22⋊Q8×C83C2314yescomplemented
270C22⋊Q8×C83C2312yescomplemented
271C22⋊Q8×C83C2312yescomplemented
272C22⋊Q8×C83C2312yescomplemented
273C22⋊Q8×C83C2314yescomplemented
274C22⋊Q8×C83C2314yescomplemented
275C22⋊Q8×C83C2314yescomplemented
276C22⋊Q8×C83C2318yescomplemented
277C22⋊Q8×C83C2314yescomplemented
278C22⋊Q8×C83C2318yescomplemented
279C22⋊Q8×C83C2314yescomplemented
280C22⋊Q8×C83C2314yescomplemented
281C22⋊Q8×C83C2318yescomplemented
282C22⋊Q8×C83C2318yescomplemented
283#121×C83C2312yes—
284#121×C83C2312yes—
285#121×C83C2314yes—
286#121×C83C2318yes—
287#121×C83C2314yes—
288#121×C83C2314yes—
289#121×C83C2314yes—
290#121×C83C2314yes—
291#121×C83C2314yescomplemented
292#121×C83C2314yescomplemented
293#121×C83C2314yescomplemented
294#121×C83C2314yescomplemented
295#121×C83C2314yescomplemented
296#121×C83C2318yescomplemented
297#121×C83C2318yescomplemented
298#121×C83C2318yescomplemented
299#121×C83C2318yescomplemented
300#121×C83C2314yescomplemented
301#121×C83C2314yescomplemented
302#121×C83C2314yescomplemented
303#121×C83C2318yescomplemented
304#121×C83C2314yescomplemented
305#121×C83C2314yescomplemented
306#121×C83C2314yescomplemented
307#121×C83C2314yescomplemented
308#121×C83C2318yescomplemented
309#121×C83C2318yescomplemented
310#121×C83C2314yescomplemented
311#121×C83C2318yescomplemented
312#121×C83C2318yescomplemented
313#121×C83C2318yescomplemented
314#121×C83C2312yescomplemented
315#121×C83C2314yescomplemented
316#121×C83C2318yescomplemented
317#121×C83C2314yescomplemented
318#121×C83C2314yescomplemented
319#121×C83C2314yescomplemented
320#121×C83C2318yescomplemented
321#121×C83C2318yescomplemented
322#121×C83C2318yescomplemented
323#121×C83C2318yescomplemented
324#121×C83C2318yescomplemented
325#121×C83C2318yescomplemented
326#121×C83C2318yescomplemented
327#121×C83C2318yescomplemented
328#121×C83C2318yescomplemented
329#121×C83C2318yescomplemented
330#121×C83C2318yescomplemented
331#121×C83C2318yescomplemented
332#121×C83C2318yescomplemented
333#120×C83C2314yes—
334#120×C83C2318yes—
335#120×C83C2318yes—
336#120×C83C2318yes—
337#120×C83C2318yes—
338#120×C83C2318yescomplemented
339#120×C83C2314yescomplemented
340#120×C83C2318yescomplemented
341#120×C83C2318yescomplemented
342#120×C83C2318yescomplemented
343#120×C83C2318yescomplemented
344#120×C83C2318yescomplemented
345#120×C83C2318yescomplemented
346#120×C83C2318yescomplemented
347#120×C83C2318yescomplemented
348#120×C83C2318yescomplemented
349#120×C83C2318yescomplemented
350#120×C83C2318yescomplemented
351#120×C83C2318yescomplemented
352#120×C83C2318yescomplemented
353#120×C83C2318yescomplemented
354#120×C83C2318yescomplemented
355#120×C83C2318yescomplemented
356#120×C83C2314yescomplemented
357#120×C83C2318yescomplemented
358#120×C83C2318yescomplemented
359#120×C83C2318yescomplemented
360C4×Q8×C83C2314yescomplemented
361C4×Q8×C83C2312yescomplemented
362C4×D4×C83C2312yes—
363C4×D4×C83C2314yes—
364C4×D4×C83C2314yes—
365C4×D4×C83C2314yes—
366C4×D4×C83C2314yescomplemented
367C4×D4×C83C2314yescomplemented
368C4×D4×C83C2314yescomplemented
369C4×D4×C83C2318yescomplemented
370C4×D4×C83C2314yescomplemented
371C4×D4×C83C2314yescomplemented
372C4×D4×C83C2312yescomplemented
373C4×D4×C83C2314yescomplemented
374C4×D4×C83C2318yescomplemented
375C4×D4×C83C2318yescomplemented
376C4×D4×C83C2318yescomplemented
377C4×D4×C83C2318yescomplemented
378C4×D4×C83C2318yescomplemented
379C4×D4×C83C2318yescomplemented
380C4×D4×C83C2314yescomplemented
381C4×D4×C83C2314yescomplemented
382C4×D4×C83C2318yescomplemented
383C4×D4×C83C2312yescomplemented
384C4×D4×C83C2314yescomplemented
385C4×D4×C83C2318yescomplemented
386C4×D4×C83C2318yescomplemented
387C4×D4×C83C2318yescomplemented
388C4×D4×C83C2318yescomplemented
389C4×D4×C83C2314yescomplemented
390#117×C83C2314yescomplemented
391#117×C83C2318yescomplemented
392#117×C83C2314yescomplemented
393#117×C83C2312yescomplemented
394#117×C83C2314yescomplemented
395#117×C83C2314yescomplemented
396#117×C83C2318yescomplemented
397C2×C4⋊C4×C83C2312yescomplemented
398C2×C4⋊C4×C83C2312yescomplemented
399C2×C4⋊C4×C83C2311yescharacteristic, complemented
400C2×C4⋊C4×C83C2311yescharacteristic, complemented
401C2×C4⋊C4×C83C2314yescomplemented
402C2×C4⋊C4×C83C2312yescomplemented
403C2×C4⋊C4×C83C2312yescomplemented
404C2×C4⋊C4×C83C2314yescomplemented
405C2×C22⋊C4×C83C2311yescharacteristic
406C2×C22⋊C4×C83C2312yes—
407C2×C22⋊C4×C83C2312yes—
408C2×C22⋊C4×C83C2318yescomplemented
409C2×C22⋊C4×C83C2312yescomplemented
410C2×C22⋊C4×C83C2312yescomplemented
411C2×C22⋊C4×C83C2318yescomplemented
412C2×C22⋊C4×C83C2312yescomplemented
413C2×C22⋊C4×C83C2314yescomplemented
414C2×C22⋊C4×C83C2312yescomplemented
415C2×C22⋊C4×C83C2311yescharacteristic, complemented
416C2×C22⋊C4×C83C2318yescomplemented
417C2×C22⋊C4×C83C2318yescomplemented
418C2×C22⋊C4×C83C2318yescomplemented
419C2×C22⋊C4×C83C2314yescomplemented
420C2×C22⋊C4×C83C2314yescomplemented
421C2×C22⋊C4×C83C2318yescomplemented
422C2×C22⋊C4×C83C2312yescomplemented
423C2×C22⋊C4×C83C2318yescomplemented
424C2×C22⋊C4×C83C2314yescomplemented
425C2×C42×C83C2311yescharacteristic, complemented
426C2×C42×C83C2312yescomplemented
427C24×C83—28no—
428C24×C83—44no—
429C24×C83—48no—
430C24×C83—48no—
431C24×C83—82no—
432C24×C83—84no—
433C24×C83C2414yes—
434C24×C83C2412yes—
435C24×C83C2414yes—
436C24×C83C2414yes—
437C24×C83C2418yes—
438C24×C83C2412yes—
439C24×C83C2412yes—
440C24×C83C2411yescharacteristic
441C24×C83C2418yes—
442C24×C83C2414yes—
443C24×C83C2411yescharacteristic
444#41×C83—28no—
445#41×C83—44no—
446#41×C83—48no—
447#41×C83—416no—
448#41×C83—48no—
449#41×C83—48no—
450#41×C83—44no—
451#41×C83—48no—
452#41×C83—84no—
453C2×Q8×C83—42no—
454C2×Q8×C83C2412yes—
455C2×Q8×C83C2412yes—
456C2×Q8×C83C2412yes—
457C2×Q8×C83C2412yes—
458C2×Q8×C83C2414yes—
459C2×D4×C83—28no—
460C2×D4×C83—216no—
461C2×D4×C83—24no—
462C2×D4×C83—28no—
463C2×D4×C83—24no—
464C2×D4×C83—216no—
465C2×D4×C83—44no—
466C2×D4×C83—42no—
467C2×D4×C83—44no—
468C2×D4×C83—48no—
469C2×D4×C83—44no—
470C2×D4×C83—48no—
471C2×D4×C83—48no—
472C2×D4×C83—48no—
473C2×D4×C83—44no—
474C2×D4×C83—416no—
475C2×D4×C83—416no—
476C2×D4×C83—48no—
477C2×D4×C83—416no—
478C2×D4×C83—416no—
479C2×D4×C83—416no—
480C2×D4×C83—48no—
481C2×D4×C83—44no—
482C2×D4×C83—48no—
483C2×D4×C83—416no—
484C2×D4×C83—416no—
485C2×D4×C83—82no—
486C2×D4×C83—84no—
487C2×D4×C83—84no—
488C2×D4×C83—88no—
489C2×D4×C83C2414yes—
490C2×D4×C83C2418yes—
491C2×D4×C83C2414yes—
492C2×D4×C83C2418yes—
493C2×D4×C83C2414yes—
494C2×D4×C83C2412yes—
495C2×D4×C83C2414yes—
496C2×D4×C83C2418yes—
497C2×D4×C83C2414yes—
498C2×D4×C83C2412yes—
499C2×D4×C83C2414yes—
500C2×D4×C83C2411yescharacteristic
501C2×D4×C83C2412yes—
502C2×D4×C83C2418yes—
503C2×D4×C83C2418yes—
504C2×D4×C83C2418yes—
505C2×D4×C83C2414yes—
506C2×D4×C83C2414yes—
507C2×D4×C83C2418yes—
508C2×D4×C83C2412yes—
509C2×D4×C83C2418yes—
510C2×D4×C83C2418yes—
511C2×D4×C83C2418yes—
512C2×D4×C83C2414yes—
513C2×D4×C83C2414yes—
514C2×D4×C83C2412yes—
515C2×D4×C83C2414yes—
516C2×D4×C83C2414yes—
517C2×D4×C83C2418yes—
518C2×D4×C83C2418yes—
519C2×D4×C83C2414yes—
520C2×D4×C83C2418yes—
521C2×D4×C83C2414yes—
522C2×D4×C83C2418yes—
523C2×D4×C83C2411yescharacteristic
524C22×C4×C83—42no—
525C22×C4×C83—44no—
526C22×C4×C83—42no—
527C22×C4×C83—48no—
528C22×C4×C83—44no—
529C22×C4×C83—82no—
530C22×C4×C83C2411yescharacteristic
531C22×C4×C83C2412yes—
532C22×C4×C83C2411yescharacteristic
533C22×C4×C83C2412yes—
534C22×C4×C83C2414yes—
535C22×C4×C83C2414yes—
536C22×C4×C83C2412yes—
537C22×C4×C83C2414yes—
538C22×C4×C83C2412yes—
539C22×C4×C83C2411yescharacteristic
540C22×C4×C83C2412yes—
541C22×C4×C83C2412yes—
542C22×C4×C83C2412yes—
543C22×C4×C83C2411yescharacteristic
544C22×C4×C83C2414yes—
545C22×C4×C83C2412yes—
546C22×C4×C83C2418yes—
547C22×C4×C83C2418yes—
548C22×C4×C83C2414yes—
549C22×C4×C83C2418yes—
550C22×C4×C83C2418yes—
551C22×C4×C83C2414yes—
552C22×C4×C83C2412yes—
553C22×C4×C83C2411yescharacteristic
554C22×C4×C83C2414yes—
555C22×C4×C83C2414yes—
556C22×C4×C83C2418yes—
557C4⋊C4×C83C2414yes—
558C4⋊C4×C83C2412yes—
559C4⋊C4×C83C2414yes—
560C4⋊C4×C83C2412yes—
561C4⋊C4×C83C2412yes—
562C4⋊C4×C83C2418yes—
563C4⋊C4×C83C2418yes—
564C4⋊C4×C83C2414yes—
565C4⋊C4×C83C2414yes—
566C4⋊C4×C83C2414yes—
567C4⋊C4×C83C2414yes—
568C4⋊C4×C83C2414yes—
569C4⋊C4×C83C2412yes—
570C4⋊C4×C83C2418yes—
571C4⋊C4×C83C2412yes—
572C4⋊C4×C83C2412yes—
573C4⋊C4×C83C2414yes—
574C4⋊C4×C83C2418yes—
575C4⋊C4×C83C2414yes—
576C4⋊C4×C83C2418yes—
577C4⋊C4×C83C2414yes—
578C4⋊C4×C83C2414yes—
579C22⋊C4×C83C2414yes—
580C22⋊C4×C83C2418yes—
581C22⋊C4×C83C2414yes—
582C22⋊C4×C83C2414yes—
583C22⋊C4×C83C2414yes—
584C22⋊C4×C83C2418yes—
585C22⋊C4×C83C2418yes—
586C22⋊C4×C83C2418yes—
587C22⋊C4×C83C2414yes—
588C22⋊C4×C83C2414yes—
589C22⋊C4×C83C2418yes—
590C22⋊C4×C83C2418yes—
591C22⋊C4×C83C2414yes—
592C22⋊C4×C83C2414yes—
593C22⋊C4×C83C2418yes—
594C22⋊C4×C83C2418yes—
595C22⋊C4×C83C2418yes—
596C22⋊C4×C83C2418yes—
597C22⋊C4×C83C2418yes—
598C22⋊C4×C83C2418yes—
599C22⋊C4×C83C2418yes—
600C22⋊C4×C83C2414yes—
601C22⋊C4×C83C2414yes—
602C22⋊C4×C83C2418yes—
603C22⋊C4×C83C2418yes—
604C22⋊C4×C83C2418yes—
605C22⋊C4×C83C2418yes—
606C22⋊C4×C83C2418yes—
607C22⋊C4×C83C2414yes—
608C22⋊C4×C83C2414yes—
609C22⋊C4×C83C2414yes—
610C22⋊C4×C83C2414yes—
611C42×C83C2414yes—
612C42×C83C2412yes—
613C42×C83C2414yes—
614C42×C83C2412yes—
615C42×C83C2418yes—
616C42×C83C2418yes—
617C23×C83—24no—
618C23×C83—28no—
619C23×C83—28no—
620C23×C83—24no—
621C23×C83—24no—
622C23×C83—22no—
623C23×C83—216no—
624C23×C83—28no—
625C23×C83—24no—
626C23×C83—28no—
627C23×C83—41no—
628C23×C83—42no—
629C23×C83—42no—
630C23×C83—41no—
631C23×C83—44no—
632C23×C83—42no—
633C23×C83—41no—
634C23×C83—42no—
635C23×C83—44no—
636C23×C83—44no—
637C23×C83—48no—
638C23×C83—48no—
639C23×C83—48no—
640C23×C83—41no—
641C23×C83—42no—
642C23×C83—48no—
643C23×C83—44no—
644C23×C83—44no—
645C23×C83—48no—
646C23×C83—44no—
647C23×C83—44no—
648C23×C83—44no—
649C23×C83—816no—
650C23×C83—832no—
651C23×C83H(5,𝔽2)14yescomplemented
652C23×C83C2514yes—
653C23×C83C2514yes—
654C23×C83C2518yes—
655C23×C83C2512yes—
656C23×C83C2512yes—
657C23×C83C2512yes—
658C23×C83C2512yes—
659C23×C83C2511yescharacteristic
660Q8×C83—24no—
661Q8×C83—42no—
662Q8×C83—42no—
663Q8×C83—44no—
664Q8×C83—42no—
665D4×C83—28no—
666D4×C83—28no—
667D4×C83—28no—
668D4×C83—216no—
669D4×C83—216no—
670D4×C83—216no—
671D4×C83—28no—
672D4×C83—24no—
673D4×C83—28no—
674D4×C83—24no—
675D4×C83—28no—
676D4×C83—22no—
677D4×C83—44no—
678D4×C83—48no—
679D4×C83—44no—
680D4×C83—48no—
681D4×C83—48no—
682D4×C83—48no—
683D4×C83—48no—
684D4×C83—42no—
685D4×C83—42no—
686D4×C83—44no—
687D4×C83—44no—
688D4×C83—48no—
689D4×C83—44no—
690D4×C83—48no—
691D4×C83—44no—
692D4×C83—48no—
693D4×C83—48no—
694D4×C83—42no—
695D4×C83—48no—
696D4×C83—44no—
697D4×C83—44no—
698D4×C83—48no—
699D4×C83H(5,𝔽2)14yescomplemented
700C2×C4×C83—24no—
701C2×C4×C83—28no—
702C2×C4×C83—28no—
703C2×C4×C83—22no—
704C2×C4×C83—24no—
705C2×C4×C83—22no—
706C2×C4×C83—28no—
707C2×C4×C83—24no—
708C2×C4×C83—41no—
709C2×C4×C83—41no—
710C2×C4×C83—48no—
711C2×C4×C83—44no—
712C2×C4×C83—48no—
713C2×C4×C83—42no—
714C2×C4×C83—42no—
715C2×C4×C83—42no—
716C2×C4×C83—42no—
717C2×C4×C83—44no—
718C2×C4×C83—41no—
719C2×C4×C83—42no—
720C2×C4×C83—44no—
721C2×C4×C83—44no—
722C2×C4×C83—44no—
723C2×C4×C83—48no—
724C2×C4×C83—48no—
725C2×C4×C83—42no—
726C2×C4×C83—48no—
727C2×C4×C83C2514yes—
728C2×C4×C83C2512yes—
729C2×C4×C83C2514yes—
730C2×C4×C83C2512yes—
731C2×C4×C83C2511yescharacteristic
732C2×C4×C83C2514yes—
733C2×C4×C83C2514yes—
734C2×C4×C83C2518yes—
735C2×C4×C83C2514yes—
736C2×C4×C83C2512yes—
737C2×C4×C83C2512yes—
738C2×C4×C83C2511yescharacteristic
739C22×C83—21no—
740C22×C83—22no—
741C22×C83—22no—
742C22×C83—21no—
743C22×C83—22no—
744C22×C83—22no—
745C22×C83—22no—
746C22×C83—24no—
747C22×C83—22no—
748C22×C83—22no—
749C22×C83—24no—
750C22×C83—28no—
751C22×C83—28no—
752C22×C83—24no—
753C22×C83—24no—
754C22×C83—22no—
755C22×C83—22no—
756C22×C83—28no—
757C22×C83—22no—
758C22×C83—24no—
759C22×C83—24no—
760C22×C83—44no—
761C22×C83—48no—
762C22×C83—416no—
763C22×C83—48no—
764C22×C83—82no—
765C22×C83—88no—
766C22×C83—88no—
767C22×C83—816no—
768C22×C83—84no—
769C22×C83—816no—
770C22×C83—164no—
771C22×C83C2×H(5,𝔽2)14yes—
772C22×C83C2×H(5,𝔽2)14yes—
773C22×C83C2×H(5,𝔽2)12yes—
774C22×C83C2611yescharacteristic
775C4×C83—22no—
776C4×C83—24no—
777C4×C83—22no—
778C4×C83—28no—
779C4×C83—24no—
780C4×C83—22no—
781C4×C83—21no—
782C4×C83—24no—
783C4×C83—24no—
784C4×C83—22no—
785C4×C83—24no—
786C4×C83C2×H(5,𝔽2)12yes—
787#62892C8311yesmaximal, characteristic, direct product factor, Sylow
788C2×C83—24no—
789C2×C83—24no—
790C2×C83—22no—
791C2×C83—42no—
792C2×C83—44no—
793C2×C83—44no—
794C2×C83—48no—
795C2×C83—42no—
796C2×C83C22×H(5,𝔽2)11yescharacteristic
797C2×C83C22×H(5,𝔽2)11yescharacteristic
798C2×C83H(7,𝔽2)11yescharacteristic
799#3558C2×C8312yescomplemented
800#3543C2×C8314yescomplemented
801#3542C2×C8314yescomplemented
802#3537C2×C8314yescomplemented
803#3537C2×C8312yescomplemented
804#3534C2×C8318yescomplemented
805#3534C2×C8314yescomplemented
806#3532C2×C8318yescomplemented
807#3519C2×C8312yescomplemented
808#3513C2×C8314yescomplemented
809#3505C2×C8312yescomplemented
810#3496C2×C8311yescharacteristic, complemented
811#3490C2×C8312yescomplemented
812#3488C2×C8312yescomplemented
813#3484C2×C8314yescomplemented
814#3484C2×C8314yescomplemented
815C2×#546C2×C8311yescharacteristic, complemented
816C2×D42C2×C8312yescomplemented
817#3459C2×C8311yescharacteristic, complemented
818C2×#534C2×C8312yescomplemented
819C83#6289211yescharacteristic, direct product factor, Sylow
820C2×H(5,𝔽2)C22×C8312yescomplemented
821C2×H(5,𝔽2)C22×C8312yescomplemented
822C22×#41C22×C8311yescharacteristic, complemented
823C23×D4C22×C8311yescharacteristic, complemented
824C23×D4C22×C8314yescomplemented
825C23×D4C22×C8312yescomplemented
826#562C22×C8318yescomplemented
827#562C22×C8314yescomplemented
828H(3,𝔽4)C22×C8314yescomplemented
829#560C22×C8318yescomplemented
830#560C22×C8318yescomplemented
831#560C22×C8318yescomplemented
832#560C22×C8318yescomplemented
833#559C22×C8314yescomplemented
834#555C22×C8312yescomplemented
835#554C22×C8312yescomplemented
836#553C22×C8318yescomplemented
837#553C22×C8314yescomplemented
838#553C22×C8314yescomplemented
839#553C22×C8318yescomplemented
840#553C22×C8314yescomplemented
841#552C22×C8314yescomplemented
842#551C22×C8318yescomplemented
843#551C22×C8318yescomplemented
844#551C22×C8318yescomplemented
845#551C22×C8318yescomplemented
846#550C22×C8314yescomplemented
847#550C22×C8312yescomplemented
848#548C22×C8314yescomplemented
849#547C22×C8314yescomplemented
850#546C22×C8314yescomplemented
851#546C22×C8314yescomplemented
852#546C22×C8314yescomplemented
853#546C22×C8318yescomplemented
854#546C22×C8318yescomplemented
855#546C22×C8318yescomplemented
856#546C22×C8318yescomplemented
857#546C22×C8318yescomplemented
858#546C22×C8314yescomplemented
859#546C22×C8318yescomplemented
860#546C22×C8318yescomplemented
861#546C22×C8314yescomplemented
862#546C22×C8318yescomplemented
863#546C22×C8318yescomplemented
864#546C22×C8318yescomplemented
865#546C22×C8314yescomplemented
866D42C22×C8314yescomplemented
867D42C22×C8318yescomplemented
868D42C22×C8314yescomplemented
869D42C22×C8314yescomplemented
870D42C22×C8312yescomplemented
871D42C22×C8318yescomplemented
872D42C22×C8318yescomplemented
873D42C22×C8318yescomplemented
874D42C22×C8318yescomplemented
875D42C22×C8314yescomplemented
876D42C22×C8314yescomplemented
877D42C22×C8314yescomplemented
878D42C22×C8318yescomplemented
879D42C22×C8318yescomplemented
880#543C22×C8311yescharacteristic, complemented
881#542C22×C8314yescomplemented
882#540C22×C8314yescomplemented
883#540C22×C8314yescomplemented
884#540C22×C8318yescomplemented
885#540C22×C8318yescomplemented
886#539C22×C8314yescomplemented
887#539C22×C8312yescomplemented
888#539C22×C8314yescomplemented
889#539C22×C8318yescomplemented
890#538C22×C8314yescomplemented
891#538C22×C8318yescomplemented
892#538C22×C8312yescomplemented
893#538C22×C8314yescomplemented
894#538C22×C8314yescomplemented
895#538C22×C8314yescomplemented
896#538C22×C8318yescomplemented
897#538C22×C8318yescomplemented
898#538C22×C8318yescomplemented
899#538C22×C8314yescomplemented
900#537C22×C8314yescomplemented
901#537C22×C8312yescomplemented
902#537C22×C8312yescomplemented
903#535C22×C8318yescomplemented
904#535C22×C8314yescomplemented
905#535C22×C8314yescomplemented
906#535C22×C8314yescomplemented
907#535C22×C8312yescomplemented
908#535C22×C8318yescomplemented
909#534C22×C8311yescharacteristic, complemented
910#534C22×C8314yescomplemented
911#534C22×C8312yescomplemented
912#534C22×C8312yescomplemented
913#534C22×C8318yescomplemented
914#534C22×C8318yescomplemented
915#534C22×C8318yescomplemented
916#534C22×C8318yescomplemented
917#534C22×C8314yescomplemented
918#534C22×C8314yescomplemented
919#534C22×C8318yescomplemented
920#534C22×C8312yescomplemented
921#534C22×C8314yescomplemented
922#532C22×C8312yescomplemented
923C2×#127C22×C8312yescomplemented
924#529C22×C8314yescomplemented
925#529C22×C8312yescomplemented
926#529C22×C8314yescomplemented
927C2×#124C22×C8311yescharacteristic, complemented
928#525C22×C8314yescomplemented
929#525C22×C8318yescomplemented
930#525C22×C8312yescomplemented
931#525C22×C8314yescomplemented
932#525C22×C8314yescomplemented
933#525C22×C8314yescomplemented
934C2×#123C22×C8318yescomplemented
935C2×#123C22×C8312yescomplemented
936C2×C22⋊Q8C22×C8311yescharacteristic, complemented
937C2×#121C22×C8312yescomplemented
938C2×#121C22×C8314yescomplemented
939C2×#121C22×C8312yescomplemented
940C2×#121C22×C8314yescomplemented
941C2×#121C22×C8314yescomplemented
942C2×#121C22×C8311yescharacteristic, complemented
943C2×#121C22×C8312yescomplemented
944C2×#121C22×C8312yescomplemented
945C2×#120C22×C8314yescomplemented
946C2×#120C22×C8312yescomplemented
947C2×#120C22×C8318yescomplemented
948C2×#120C22×C8314yescomplemented
949C2×#120C22×C8318yescomplemented
950#520C22×C8312yescomplemented
951#518C22×C8314yescomplemented
952#518C22×C8314yescomplemented
953C2×C4×D4C22×C8312yescomplemented
954C2×C4×D4C22×C8311yescharacteristic, complemented
955C2×C4×D4C22×C8312yescomplemented
956C2×C4×D4C22×C8311yescharacteristic, complemented
957C22×C22⋊C4C22×C8312yescomplemented
958C25C23×C8312yes—
959C25C23×C8314yescomplemented
960H(5,𝔽2)—48no—
961H(5,𝔽2)—48no—
962C2×#41—44no—
963C2×#41C23×C8312yes—
964C2×#41C23×C8312yescomplemented
965C2×#41C23×C8318yescomplemented
966C2×#41C23×C8314yescomplemented
967C2×#41C23×C8314yescomplemented
968C2×#41C23×C8314yescomplemented
969C2×#41C23×C8314yescomplemented
970C2×#41C23×C8312yescomplemented
971C2×#41C23×C8314yescomplemented
972C22×Q8C23×C8311yescharacteristic, complemented
973C22×D4—44no—
974C22×D4—48no—
975C22×D4—416no—
976C22×D4C23×C8311yescharacteristic
977C22×D4C23×C8312yes—
978C22×D4C23×C8311yescharacteristic
979C22×D4C23×C8312yes—
980C22×D4C23×C8314yes—
981C22×D4C23×C8314yes—
982C22×D4C23×C8314yes—
983C22×D4C23×C8318yes—
984C22×D4C23×C8312yes—
985C22×D4C23×C8311yescharacteristic
986C22×D4C23×C8312yes—
987C22×D4C23×C8318yes—
988C22×D4C23×C8314yescomplemented
989C22×D4C23×C8314yescomplemented
990C22×D4C23×C8312yescomplemented
991C22×D4C23×C8314yescomplemented
992C22×D4C23×C8318yescomplemented
993C22×D4C23×C8318yescomplemented
994C22×D4C23×C8318yescomplemented
995C22×D4C23×C8314yescomplemented
996C22×D4C23×C8312yescomplemented
997C22×D4C23×C8314yescomplemented
998C22×D4C23×C8312yescomplemented
999C22×D4C23×C8318yescomplemented
1000C22×D4C23×C8318yescomplemented
1001C22×D4C23×C8314yescomplemented
1002C22×D4C23×C8314yescomplemented
1003C22×D4C23×C8314yescomplemented
1004C22×D4C23×C8312yescomplemented
1005C22×D4C23×C8318yescomplemented
1006C23×C4C23×C8311yescharacteristic
1007C23×C4C23×C8312yescomplemented
1008C23×C4C23×C8311yescharacteristic, complemented
1009C23×C4C23×C8314yescomplemented
1010C23×C4C23×C8312yescomplemented
1011C23×C4C23×C8312yescomplemented
1012C4⋊Q8C23×C8312yescomplemented
1013#127C23×C8314yes—
1014#127C23×C8314yescomplemented
1015#127C23×C8318yescomplemented
1016#127C23×C8312yescomplemented
1017#127C23×C8318yescomplemented
1018#127C23×C8318yescomplemented
1019#126C23×C8314yescomplemented
1020#126C23×C8314yescomplemented
1021#126C23×C8318yescomplemented
1022#126C23×C8314yescomplemented
1023#126C23×C8318yescomplemented
1024#126C23×C8318yescomplemented
1025#126C23×C8318yescomplemented
1026#126C23×C8318yescomplemented
1027#125C23×C8314yescomplemented
1028#125C23×C8312yescomplemented
1029#125C23×C8314yescomplemented
1030#125C23×C8318yescomplemented
1031#124C23×C8314yescomplemented
1032#124C23×C8314yescomplemented
1033#124C23×C8314yescomplemented
1034#124C23×C8314yescomplemented
1035#124C23×C8312yescomplemented
1036#124C23×C8314yescomplemented
1037#124C23×C8318yescomplemented
1038#124C23×C8318yescomplemented
1039#124C23×C8318yescomplemented
1040#124C23×C8318yescomplemented
1041#124C23×C8318yescomplemented
1042#123C23×C8314yes—
1043#123C23×C8318yes—
1044#123C23×C8318yescomplemented
1045#123C23×C8318yescomplemented
1046#123C23×C8318yescomplemented
1047#123C23×C8318yescomplemented
1048#123C23×C8318yescomplemented
1049#123C23×C8318yescomplemented
1050#123C23×C8318yescomplemented
1051#123C23×C8318yescomplemented
1052#123C23×C8314yescomplemented
1053#123C23×C8314yescomplemented
1054#123C23×C8314yescomplemented
1055#123C23×C8318yescomplemented
1056#123C23×C8318yescomplemented
1057#123C23×C8314yescomplemented
1058#123C23×C8318yescomplemented
1059#123C23×C8314yescomplemented
1060#123C23×C8318yescomplemented
1061#123C23×C8318yescomplemented
1062#123C23×C8318yescomplemented
1063#123C23×C8318yescomplemented
1064#123C23×C8318yescomplemented
1065#123C23×C8318yescomplemented
1066#123C23×C8318yescomplemented
1067C22⋊Q8C23×C8314yescomplemented
1068C22⋊Q8C23×C8314yescomplemented
1069C22⋊Q8C23×C8312yescomplemented
1070C22⋊Q8C23×C8312yescomplemented
1071C22⋊Q8C23×C8312yescomplemented
1072C22⋊Q8C23×C8314yescomplemented
1073C22⋊Q8C23×C8314yescomplemented
1074C22⋊Q8C23×C8314yescomplemented
1075C22⋊Q8C23×C8318yescomplemented
1076C22⋊Q8C23×C8314yescomplemented
1077C22⋊Q8C23×C8318yescomplemented
1078C22⋊Q8C23×C8314yescomplemented
1079C22⋊Q8C23×C8314yescomplemented
1080C22⋊Q8C23×C8318yescomplemented
1081C22⋊Q8C23×C8318yescomplemented
1082#121C23×C8312yes—
1083#121C23×C8312yes—
1084#121C23×C8314yes—
1085#121C23×C8318yes—
1086#121C23×C8314yes—
1087#121C23×C8314yes—
1088#121C23×C8314yes—
1089#121C23×C8314yes—
1090#121C23×C8314yescomplemented
1091#121C23×C8314yescomplemented
1092#121C23×C8314yescomplemented
1093#121C23×C8314yescomplemented
1094#121C23×C8314yescomplemented
1095#121C23×C8318yescomplemented
1096#121C23×C8318yescomplemented
1097#121C23×C8318yescomplemented
1098#121C23×C8318yescomplemented
1099#121C23×C8314yescomplemented
1100#121C23×C8314yescomplemented
1101#121C23×C8314yescomplemented
1102#121C23×C8318yescomplemented
1103#121C23×C8314yescomplemented
1104#121C23×C8314yescomplemented
1105#121C23×C8314yescomplemented
1106#121C23×C8314yescomplemented
1107#121C23×C8318yescomplemented
1108#121C23×C8318yescomplemented
1109#121C23×C8314yescomplemented
1110#121C23×C8318yescomplemented
1111#121C23×C8318yescomplemented
1112#121C23×C8318yescomplemented
1113#121C23×C8312yescomplemented
1114#121C23×C8314yescomplemented
1115#121C23×C8318yescomplemented
1116#121C23×C8314yescomplemented
1117#121C23×C8314yescomplemented
1118#121C23×C8314yescomplemented
1119#121C23×C8318yescomplemented
1120#121C23×C8318yescomplemented
1121#121C23×C8318yescomplemented
1122#121C23×C8318yescomplemented
1123#121C23×C8318yescomplemented
1124#121C23×C8318yescomplemented
1125#121C23×C8318yescomplemented
1126#121C23×C8318yescomplemented
1127#121C23×C8318yescomplemented
1128#121C23×C8318yescomplemented
1129#121C23×C8318yescomplemented
1130#121C23×C8318yescomplemented
1131#121C23×C8318yescomplemented
1132#120C23×C8314yes—
1133#120C23×C8318yes—
1134#120C23×C8318yes—
1135#120C23×C8318yes—
1136#120C23×C8318yes—
1137#120C23×C8318yescomplemented
1138#120C23×C8314yescomplemented
1139#120C23×C8318yescomplemented
1140#120C23×C8318yescomplemented
1141#120C23×C8318yescomplemented
1142#120C23×C8318yescomplemented
1143#120C23×C8318yescomplemented
1144#120C23×C8318yescomplemented
1145#120C23×C8318yescomplemented
1146#120C23×C8318yescomplemented
1147#120C23×C8318yescomplemented
1148#120C23×C8318yescomplemented
1149#120C23×C8318yescomplemented
1150#120C23×C8318yescomplemented
1151#120C23×C8318yescomplemented
1152#120C23×C8318yescomplemented
1153#120C23×C8318yescomplemented
1154#120C23×C8318yescomplemented
1155#120C23×C8314yescomplemented
1156#120C23×C8318yescomplemented
1157#120C23×C8318yescomplemented
1158#120C23×C8318yescomplemented
1159C4×Q8C23×C8314yescomplemented
1160C4×Q8C23×C8312yescomplemented
1161C4×D4C23×C8312yes—
1162C4×D4C23×C8314yes—
1163C4×D4C23×C8314yes—
1164C4×D4C23×C8314yes—
1165C4×D4C23×C8314yescomplemented
1166C4×D4C23×C8314yescomplemented
1167C4×D4C23×C8314yescomplemented
1168C4×D4C23×C8318yescomplemented
1169C4×D4C23×C8314yescomplemented
1170C4×D4C23×C8314yescomplemented
1171C4×D4C23×C8312yescomplemented
1172C4×D4C23×C8314yescomplemented
1173C4×D4C23×C8318yescomplemented
1174C4×D4C23×C8318yescomplemented
1175C4×D4C23×C8318yescomplemented
1176C4×D4C23×C8318yescomplemented
1177C4×D4C23×C8318yescomplemented
1178C4×D4C23×C8318yescomplemented
1179C4×D4C23×C8314yescomplemented
1180C4×D4C23×C8314yescomplemented
1181C4×D4C23×C8318yescomplemented
1182C4×D4C23×C8312yescomplemented
1183C4×D4C23×C8314yescomplemented
1184C4×D4C23×C8318yescomplemented
1185C4×D4C23×C8318yescomplemented
1186C4×D4C23×C8318yescomplemented
1187C4×D4C23×C8318yescomplemented
1188C4×D4C23×C8314yescomplemented
1189#117C23×C8314yescomplemented
1190#117C23×C8318yescomplemented
1191#117C23×C8314yescomplemented
1192#117C23×C8312yescomplemented
1193#117C23×C8314yescomplemented
1194#117C23×C8314yescomplemented
1195#117C23×C8318yescomplemented
1196C2×C4⋊C4C23×C8312yescomplemented
1197C2×C4⋊C4C23×C8312yescomplemented
1198C2×C4⋊C4C23×C8311yescharacteristic, complemented
1199C2×C4⋊C4C23×C8311yescharacteristic, complemented
1200C2×C4⋊C4C23×C8314yescomplemented
1201C2×C4⋊C4C23×C8312yescomplemented
1202C2×C4⋊C4C23×C8312yescomplemented
1203C2×C4⋊C4C23×C8314yescomplemented
1204C2×C22⋊C4C23×C8311yescharacteristic
1205C2×C22⋊C4C23×C8312yes—
1206C2×C22⋊C4C23×C8312yes—
1207C2×C22⋊C4C23×C8318yescomplemented
1208C2×C22⋊C4C23×C8312yescomplemented
1209C2×C22⋊C4C23×C8312yescomplemented
1210C2×C22⋊C4C23×C8318yescomplemented
1211C2×C22⋊C4C23×C8312yescomplemented
1212C2×C22⋊C4C23×C8314yescomplemented
1213C2×C22⋊C4C23×C8312yescomplemented
1214C2×C22⋊C4C23×C8311yescharacteristic, complemented
1215C2×C22⋊C4C23×C8318yescomplemented
1216C2×C22⋊C4C23×C8318yescomplemented
1217C2×C22⋊C4C23×C8318yescomplemented
1218C2×C22⋊C4C23×C8314yescomplemented
1219C2×C22⋊C4C23×C8314yescomplemented
1220C2×C22⋊C4C23×C8318yescomplemented
1221C2×C22⋊C4C23×C8312yescomplemented
1222C2×C22⋊C4C23×C8318yescomplemented
1223C2×C22⋊C4C23×C8314yescomplemented
1224C2×C42C23×C8311yescharacteristic, complemented
1225C2×C42C23×C8312yescomplemented
1226C24—28no—
1227C24—44no—
1228C24—48no—
1229C24—48no—
1230C24—82no—
1231C24—84no—
1232C24C24×C8314yes—
1233C24C24×C8312yes—
1234C24C24×C8314yes—
1235C24C24×C8314yes—
1236C24C24×C8318yes—
1237C24C24×C8312yes—
1238C24C24×C8312yes—
1239C24C24×C8311yescharacteristic
1240C24C24×C8318yes—
1241C24C24×C8314yes—
1242C24C24×C8311yescharacteristic
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×C8312yes—
1254C2×Q8C24×C8312yes—
1255C2×Q8C24×C8312yes—
1256C2×Q8C24×C8312yes—
1257C2×Q8C24×C8314yes—
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×C8314yes—
1289C2×D4C24×C8318yes—
1290C2×D4C24×C8314yes—
1291C2×D4C24×C8318yes—
1292C2×D4C24×C8314yes—
1293C2×D4C24×C8312yes—
1294C2×D4C24×C8314yes—
1295C2×D4C24×C8318yes—
1296C2×D4C24×C8314yes—
1297C2×D4C24×C8312yes—
1298C2×D4C24×C8314yes—
1299C2×D4C24×C8311yescharacteristic
1300C2×D4C24×C8312yes—
1301C2×D4C24×C8318yes—
1302C2×D4C24×C8318yes—
1303C2×D4C24×C8318yes—
1304C2×D4C24×C8314yes—
1305C2×D4C24×C8314yes—
1306C2×D4C24×C8318yes—
1307C2×D4C24×C8312yes—
1308C2×D4C24×C8318yes—
1309C2×D4C24×C8318yes—
1310C2×D4C24×C8318yes—
1311C2×D4C24×C8314yes—
1312C2×D4C24×C8314yes—
1313C2×D4C24×C8312yes—
1314C2×D4C24×C8314yes—
1315C2×D4C24×C8314yes—
1316C2×D4C24×C8318yes—
1317C2×D4C24×C8318yes—
1318C2×D4C24×C8314yes—
1319C2×D4C24×C8318yes—
1320C2×D4C24×C8314yes—
1321C2×D4C24×C8318yes—
1322C2×D4C24×C8311yescharacteristic
1323C22×C4—42no—
1324C22×C4—44no—
1325C22×C4—42no—
1326C22×C4—48no—
1327C22×C4—44no—
1328C22×C4—82no—
1329C22×C4C24×C8311yescharacteristic
1330C22×C4C24×C8312yes—
1331C22×C4C24×C8311yescharacteristic
1332C22×C4C24×C8312yes—
1333C22×C4C24×C8314yes—
1334C22×C4C24×C8314yes—
1335C22×C4C24×C8312yes—
1336C22×C4C24×C8314yes—
1337C22×C4C24×C8312yes—
1338C22×C4C24×C8311yescharacteristic
1339C22×C4C24×C8312yes—
1340C22×C4C24×C8312yes—
1341C22×C4C24×C8312yes—
1342C22×C4C24×C8311yescharacteristic
1343C22×C4C24×C8314yes—
1344C22×C4C24×C8312yes—
1345C22×C4C24×C8318yes—
1346C22×C4C24×C8318yes—
1347C22×C4C24×C8314yes—
1348C22×C4C24×C8318yes—
1349C22×C4C24×C8318yes—
1350C22×C4C24×C8314yes—
1351C22×C4C24×C8312yes—
1352C22×C4C24×C8311yescharacteristic
1353C22×C4C24×C8314yes—
1354C22×C4C24×C8314yes—
1355C22×C4C24×C8318yes—
1356C4⋊C4C24×C8314yes—
1357C4⋊C4C24×C8312yes—
1358C4⋊C4C24×C8314yes—
1359C4⋊C4C24×C8312yes—
1360C4⋊C4C24×C8312yes—
1361C4⋊C4C24×C8318yes—
1362C4⋊C4C24×C8318yes—
1363C4⋊C4C24×C8314yes—
1364C4⋊C4C24×C8314yes—
1365C4⋊C4C24×C8314yes—
1366C4⋊C4C24×C8314yes—
1367C4⋊C4C24×C8314yes—
1368C4⋊C4C24×C8312yes—
1369C4⋊C4C24×C8318yes—
1370C4⋊C4C24×C8312yes—
1371C4⋊C4C24×C8312yes—
1372C4⋊C4C24×C8314yes—
1373C4⋊C4C24×C8318yes—
1374C4⋊C4C24×C8314yes—
1375C4⋊C4C24×C8318yes—
1376C4⋊C4C24×C8314yes—
1377C4⋊C4C24×C8314yes—
1378C22⋊C4C24×C8314yes—
1379C22⋊C4C24×C8318yes—
1380C22⋊C4C24×C8314yes—
1381C22⋊C4C24×C8314yes—
1382C22⋊C4C24×C8314yes—
1383C22⋊C4C24×C8318yes—
1384C22⋊C4C24×C8318yes—
1385C22⋊C4C24×C8318yes—
1386C22⋊C4C24×C8314yes—
1387C22⋊C4C24×C8314yes—
1388C22⋊C4C24×C8318yes—
1389C22⋊C4C24×C8318yes—
1390C22⋊C4C24×C8314yes—
1391C22⋊C4C24×C8314yes—
1392C22⋊C4C24×C8318yes—
1393C22⋊C4C24×C8318yes—
1394C22⋊C4C24×C8318yes—
1395C22⋊C4C24×C8318yes—
1396C22⋊C4C24×C8318yes—
1397C22⋊C4C24×C8318yes—
1398C22⋊C4C24×C8318yes—
1399C22⋊C4C24×C8314yes—
1400C22⋊C4C24×C8314yes—
1401C22⋊C4C24×C8318yes—
1402C22⋊C4C24×C8318yes—
1403C22⋊C4C24×C8318yes—
1404C22⋊C4C24×C8318yes—
1405C22⋊C4C24×C8318yes—
1406C22⋊C4C24×C8314yes—
1407C22⋊C4C24×C8314yes—
1408C22⋊C4C24×C8314yes—
1409C22⋊C4C24×C8314yes—
1410C42C24×C8314yes—
1411C42C24×C8312yes—
1412C42C24×C8314yes—
1413C42C24×C8312yes—
1414C42C24×C8318yes—
1415C42C24×C8318yes—
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)×C8314yescomplemented
1451C23C25×C8314yes—
1452C23C25×C8314yes—
1453C23C25×C8318yes—
1454C23C25×C8312yes—
1455C23C25×C8312yes—
1456C23C25×C8312yes—
1457C23C25×C8312yes—
1458C23C25×C8311yescharacteristic
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)×C8314yescomplemented
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×C8314yes—
1527C2×C4C25×C8312yes—
1528C2×C4C25×C8314yes—
1529C2×C4C25×C8312yes—
1530C2×C4C25×C8311yescharacteristic
1531C2×C4C25×C8314yes—
1532C2×C4C25×C8314yes—
1533C2×C4C25×C8318yes—
1534C2×C4C25×C8314yes—
1535C2×C4C25×C8312yes—
1536C2×C4C25×C8312yes—
1537C2×C4C25×C8311yescharacteristic
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)×C8314yes—
1571C22C2×H(5,𝔽2)×C8314yes—
1572C22C2×H(5,𝔽2)×C8312yes—
1573C22C26×C8311yescharacteristic
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)×C8312yes—
1586C2—24no—
1587C2—24no—
1588C2—22no—
1589C2—44no—
1590C2—44no—
1591C2—42no—
1592C2—48no—
1593C2—42no—
1594C2C22×H(5,𝔽2)×C8311yescharacteristic
1595C2C22×H(5,𝔽2)×C8311yescharacteristic
1596C2C83×H(7,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C83C26
commutator, Frattini, cosocleC22C26×C83
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C83 ◁ G

Complements

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

NH ≅ G/Ntype
1. C83×#3558C2semidirect
2. C83×#3543C2semidirect
3. C83×#3542C2semidirect
4. C83×#3537C2semidirect
5. C83×#3537C2semidirect
6. C83×#3534C2semidirect
7. C83×#3534C2semidirect
8. C83×#3532C2semidirect
9. C83×#3519C2semidirect
10. C83×#3513C2semidirect
11. C83×#3505C2semidirect
12. C83×#3496C2semidirect
13. C83×#3490C2semidirect
14. C83×#3488C2semidirect
15. C83×#3484C2semidirect
16. C83×#3484C2semidirect
17. C2×#546×C83C2semidirect
18. C2×D42×C83C2semidirect
19. C83×#3459C2semidirect
20. C2×#534×C83C2semidirect
21. C2×H(5,𝔽2)×C83C22semidirect
22. C2×H(5,𝔽2)×C83C22semidirect
23. C22×#41×C83C22semidirect
24. C23×D4×C83C22semidirect
25. C23×D4×C83C22semidirect
26. C23×D4×C83C22semidirect
27. #562×C83C22semidirect
28. #562×C83C22semidirect
29. H(3,𝔽4)×C83C22semidirect
30. #560×C83C22semidirect
31. #560×C83C22semidirect
32. #560×C83C22semidirect
33. #560×C83C22semidirect
34. #559×C83C22semidirect
35. #555×C83C22semidirect
36. #554×C83C22semidirect
37. #553×C83C22semidirect
38. #553×C83C22semidirect
39. #553×C83C22semidirect
40. #553×C83C22semidirect
41. #553×C83C22semidirect
42. #552×C83C22semidirect
43. #551×C83C22semidirect
44. #551×C83C22semidirect
45. #551×C83C22semidirect
46. #551×C83C22semidirect
47. #550×C83C22semidirect
48. #550×C83C22semidirect
49. #548×C83C22semidirect
50. #547×C83C22semidirect
51. #546×C83C22semidirect
52. #546×C83C22semidirect
53. #546×C83C22semidirect
54. #546×C83C22semidirect
55. #546×C83C22semidirect
56. #546×C83C22semidirect
57. #546×C83C22semidirect
58. #546×C83C22semidirect
59. #546×C83C22semidirect
60. #546×C83C22semidirect
61. #546×C83C22semidirect
62. #546×C83C22semidirect
63. #546×C83C22semidirect
64. #546×C83C22semidirect
65. #546×C83C22semidirect
66. #546×C83C22semidirect
67. D42×C83C22semidirect
68. D42×C83C22semidirect
69. D42×C83C22semidirect
70. D42×C83C22semidirect
71. D42×C83C22semidirect
72. D42×C83C22semidirect
73. D42×C83C22semidirect
74. D42×C83C22semidirect
75. D42×C83C22semidirect
76. D42×C83C22semidirect
77. D42×C83C22semidirect
78. D42×C83C22semidirect
79. D42×C83C22semidirect
80. D42×C83C22semidirect
81. #543×C83C22semidirect
82. #542×C83C22semidirect
83. #540×C83C22semidirect
84. #540×C83C22semidirect
85. #540×C83C22semidirect
86. #540×C83C22semidirect
87. #539×C83C22semidirect
88. #539×C83C22semidirect
89. #539×C83C22semidirect
90. #539×C83C22semidirect
91. #538×C83C22semidirect
92. #538×C83C22semidirect
93. #538×C83C22semidirect
94. #538×C83C22semidirect
95. #538×C83C22semidirect
96. #538×C83C22semidirect
97. #538×C83C22semidirect
98. #538×C83C22semidirect
99. #538×C83C22semidirect
100. #538×C83C22semidirect
101. #537×C83C22semidirect
102. #537×C83C22semidirect
103. #537×C83C22semidirect
104. #535×C83C22semidirect
105. #535×C83C22semidirect
106. #535×C83C22semidirect
107. #535×C83C22semidirect
108. #535×C83C22semidirect
109. #535×C83C22semidirect
110. #534×C83C22semidirect
111. #534×C83C22semidirect
112. #534×C83C22semidirect
113. #534×C83C22semidirect
114. #534×C83C22semidirect
115. #534×C83C22semidirect
116. #534×C83C22semidirect
117. #534×C83C22semidirect
118. #534×C83C22semidirect
119. #534×C83C22semidirect
120. #534×C83C22semidirect
121. #534×C83C22semidirect
122. #534×C83C22semidirect
123. #532×C83C22semidirect
124. C2×#127×C83C22semidirect
125. #529×C83C22semidirect
126. #529×C83C22semidirect
127. #529×C83C22semidirect
128. C2×#124×C83C22semidirect
129. #525×C83C22semidirect
130. #525×C83C22semidirect
131. #525×C83C22semidirect
132. #525×C83C22semidirect
133. #525×C83C22semidirect
134. #525×C83C22semidirect
135. C2×#123×C83C22semidirect
136. C2×#123×C83C22semidirect
137. C2×C22⋊Q8×C83C22semidirect
138. C2×#121×C83C22semidirect
139. C2×#121×C83C22semidirect
140. C2×#121×C83C22semidirect
141. C2×#121×C83C22semidirect
142. C2×#121×C83C22semidirect
143. C2×#121×C83C22semidirect
144. C2×#121×C83C22semidirect
145. C2×#121×C83C22semidirect
146. C2×#120×C83C22semidirect
147. C2×#120×C83C22semidirect
148. C2×#120×C83C22semidirect
149. C2×#120×C83C22semidirect
150. C2×#120×C83C22semidirect
151. #520×C83C22semidirect
152. #518×C83C22semidirect
153. #518×C83C22semidirect
154. C2×C4×D4×C83C22semidirect
155. C2×C4×D4×C83C22semidirect
156. C2×C4×D4×C83C22semidirect
157. C2×C4×D4×C83C22semidirect
158. C22×C22⋊C4×C83C22semidirect
160. C25×C83C23semidirect
165. C2×#41×C83C23semidirect
166. C2×#41×C83C23semidirect
167. C2×#41×C83C23semidirect
168. C2×#41×C83C23semidirect
169. C2×#41×C83C23semidirect
170. C2×#41×C83C23semidirect
171. C2×#41×C83C23semidirect
172. C2×#41×C83C23semidirect
173. C22×Q8×C83C23semidirect
189. C22×D4×C83C23semidirect
190. C22×D4×C83C23semidirect
191. C22×D4×C83C23semidirect
192. C22×D4×C83C23semidirect
193. C22×D4×C83C23semidirect
194. C22×D4×C83C23semidirect
195. C22×D4×C83C23semidirect
196. C22×D4×C83C23semidirect
197. C22×D4×C83C23semidirect
198. C22×D4×C83C23semidirect
199. C22×D4×C83C23semidirect
200. C22×D4×C83C23semidirect
201. C22×D4×C83C23semidirect
202. C22×D4×C83C23semidirect
203. C22×D4×C83C23semidirect
204. C22×D4×C83C23semidirect
205. C22×D4×C83C23semidirect
206. C22×D4×C83C23semidirect
208. C23×C4×C83C23semidirect
209. C23×C4×C83C23semidirect
210. C23×C4×C83C23semidirect
211. C23×C4×C83C23semidirect
212. C23×C4×C83C23semidirect
213. C4⋊Q8×C83C23semidirect
215. #127×C83C23semidirect
216. #127×C83C23semidirect
217. #127×C83C23semidirect
218. #127×C83C23semidirect
219. #127×C83C23semidirect
220. #126×C83C23semidirect
221. #126×C83C23semidirect
222. #126×C83C23semidirect
223. #126×C83C23semidirect
224. #126×C83C23semidirect
225. #126×C83C23semidirect
226. #126×C83C23semidirect
227. #126×C83C23semidirect
228. #125×C83C23semidirect
229. #125×C83C23semidirect
230. #125×C83C23semidirect
231. #125×C83C23semidirect
232. #124×C83C23semidirect
233. #124×C83C23semidirect
234. #124×C83C23semidirect
235. #124×C83C23semidirect
236. #124×C83C23semidirect
237. #124×C83C23semidirect
238. #124×C83C23semidirect
239. #124×C83C23semidirect
240. #124×C83C23semidirect
241. #124×C83C23semidirect
242. #124×C83C23semidirect
245. #123×C83C23semidirect
246. #123×C83C23semidirect
247. #123×C83C23semidirect
248. #123×C83C23semidirect
249. #123×C83C23semidirect
250. #123×C83C23semidirect
251. #123×C83C23semidirect
252. #123×C83C23semidirect
253. #123×C83C23semidirect
254. #123×C83C23semidirect
255. #123×C83C23semidirect
256. #123×C83C23semidirect
257. #123×C83C23semidirect
258. #123×C83C23semidirect
259. #123×C83C23semidirect
260. #123×C83C23semidirect
261. #123×C83C23semidirect
262. #123×C83C23semidirect
263. #123×C83C23semidirect
264. #123×C83C23semidirect
265. #123×C83C23semidirect
266. #123×C83C23semidirect
267. #123×C83C23semidirect
268. C22⋊Q8×C83C23semidirect
269. C22⋊Q8×C83C23semidirect
270. C22⋊Q8×C83C23semidirect
271. C22⋊Q8×C83C23semidirect
272. C22⋊Q8×C83C23semidirect
273. C22⋊Q8×C83C23semidirect
274. C22⋊Q8×C83C23semidirect
275. C22⋊Q8×C83C23semidirect
276. C22⋊Q8×C83C23semidirect
277. C22⋊Q8×C83C23semidirect
278. C22⋊Q8×C83C23semidirect
279. C22⋊Q8×C83C23semidirect
280. C22⋊Q8×C83C23semidirect
281. C22⋊Q8×C83C23semidirect
282. C22⋊Q8×C83C23semidirect
291. #121×C83C23semidirect
292. #121×C83C23semidirect
293. #121×C83C23semidirect
294. #121×C83C23semidirect
295. #121×C83C23semidirect
296. #121×C83C23semidirect
297. #121×C83C23semidirect
298. #121×C83C23semidirect
299. #121×C83C23semidirect
300. #121×C83C23semidirect
301. #121×C83C23semidirect
302. #121×C83C23semidirect
303. #121×C83C23semidirect
304. #121×C83C23semidirect
305. #121×C83C23semidirect
306. #121×C83C23semidirect
307. #121×C83C23semidirect
308. #121×C83C23semidirect
309. #121×C83C23semidirect
310. #121×C83C23semidirect
311. #121×C83C23semidirect
312. #121×C83C23semidirect
313. #121×C83C23semidirect
314. #121×C83C23semidirect
315. #121×C83C23semidirect
316. #121×C83C23semidirect
317. #121×C83C23semidirect
318. #121×C83C23semidirect
319. #121×C83C23semidirect
320. #121×C83C23semidirect
321. #121×C83C23semidirect
322. #121×C83C23semidirect
323. #121×C83C23semidirect
324. #121×C83C23semidirect
325. #121×C83C23semidirect
326. #121×C83C23semidirect
327. #121×C83C23semidirect
328. #121×C83C23semidirect
329. #121×C83C23semidirect
330. #121×C83C23semidirect
331. #121×C83C23semidirect
332. #121×C83C23semidirect
338. #120×C83C23semidirect
339. #120×C83C23semidirect
340. #120×C83C23semidirect
341. #120×C83C23semidirect
342. #120×C83C23semidirect
343. #120×C83C23semidirect
344. #120×C83C23semidirect
345. #120×C83C23semidirect
346. #120×C83C23semidirect
347. #120×C83C23semidirect
348. #120×C83C23semidirect
349. #120×C83C23semidirect
350. #120×C83C23semidirect
351. #120×C83C23semidirect
352. #120×C83C23semidirect
353. #120×C83C23semidirect
354. #120×C83C23semidirect
355. #120×C83C23semidirect
356. #120×C83C23semidirect
357. #120×C83C23semidirect
358. #120×C83C23semidirect
359. #120×C83C23semidirect
360. C4×Q8×C83C23semidirect
361. C4×Q8×C83C23semidirect
366. C4×D4×C83C23semidirect
367. C4×D4×C83C23semidirect
368. C4×D4×C83C23semidirect
369. C4×D4×C83C23semidirect
370. C4×D4×C83C23semidirect
371. C4×D4×C83C23semidirect
372. C4×D4×C83C23semidirect
373. C4×D4×C83C23semidirect
374. C4×D4×C83C23semidirect
375. C4×D4×C83C23semidirect
376. C4×D4×C83C23semidirect
377. C4×D4×C83C23semidirect
378. C4×D4×C83C23semidirect
379. C4×D4×C83C23semidirect
380. C4×D4×C83C23semidirect
381. C4×D4×C83C23semidirect
382. C4×D4×C83C23semidirect
383. C4×D4×C83C23semidirect
384. C4×D4×C83C23semidirect
385. C4×D4×C83C23semidirect
386. C4×D4×C83C23semidirect
387. C4×D4×C83C23semidirect
388. C4×D4×C83C23semidirect
389. C4×D4×C83C23semidirect
390. #117×C83C23semidirect
391. #117×C83C23semidirect
392. #117×C83C23semidirect
393. #117×C83C23semidirect
394. #117×C83C23semidirect
395. #117×C83C23semidirect
396. #117×C83C23semidirect
397. C2×C4⋊C4×C83C23semidirect
398. C2×C4⋊C4×C83C23semidirect
399. C2×C4⋊C4×C83C23semidirect
400. C2×C4⋊C4×C83C23semidirect
401. C2×C4⋊C4×C83C23semidirect
402. C2×C4⋊C4×C83C23semidirect
403. C2×C4⋊C4×C83C23semidirect
404. C2×C4⋊C4×C83C23semidirect
408. C2×C22⋊C4×C83C23semidirect
409. C2×C22⋊C4×C83C23semidirect
410. C2×C22⋊C4×C83C23semidirect
411. C2×C22⋊C4×C83C23semidirect
412. C2×C22⋊C4×C83C23semidirect
413. C2×C22⋊C4×C83C23semidirect
414. C2×C22⋊C4×C83C23semidirect
415. C2×C22⋊C4×C83C23semidirect
416. C2×C22⋊C4×C83C23semidirect
417. C2×C22⋊C4×C83C23semidirect
418. C2×C22⋊C4×C83C23semidirect
419. C2×C22⋊C4×C83C23semidirect
420. C2×C22⋊C4×C83C23semidirect
421. C2×C22⋊C4×C83C23semidirect
422. C2×C22⋊C4×C83C23semidirect
423. C2×C22⋊C4×C83C23semidirect
424. C2×C22⋊C4×C83C23semidirect
425. C2×C42×C83C23semidirect
426. C2×C42×C83C23semidirect
651. C23×C83H(5,𝔽2)semidirect
699. D4×C83H(5,𝔽2)semidirect
787. #62892C83direct (N × H)
799. #3558C2×C83semidirect
800. #3543C2×C83semidirect
801. #3542C2×C83semidirect
802. #3537C2×C83semidirect
803. #3537C2×C83semidirect
804. #3534C2×C83semidirect
805. #3534C2×C83semidirect
806. #3532C2×C83semidirect
807. #3519C2×C83semidirect
808. #3513C2×C83semidirect
809. #3505C2×C83semidirect
810. #3496C2×C83semidirect
811. #3490C2×C83semidirect
812. #3488C2×C83semidirect
813. #3484C2×C83semidirect
814. #3484C2×C83semidirect
815. C2×#546C2×C83semidirect
816. C2×D42C2×C83semidirect
817. #3459C2×C83semidirect
818. C2×#534C2×C83semidirect
819. C83#62892direct (N × H)
820. C2×H(5,𝔽2)C22×C83semidirect
821. C2×H(5,𝔽2)C22×C83semidirect
822. C22×#41C22×C83semidirect
823. C23×D4C22×C83semidirect
824. C23×D4C22×C83semidirect
825. C23×D4C22×C83semidirect
826. #562C22×C83semidirect
827. #562C22×C83semidirect
828. H(3,𝔽4)C22×C83semidirect
829. #560C22×C83semidirect
830. #560C22×C83semidirect
831. #560C22×C83semidirect
832. #560C22×C83semidirect
833. #559C22×C83semidirect
834. #555C22×C83semidirect
835. #554C22×C83semidirect
836. #553C22×C83semidirect
837. #553C22×C83semidirect
838. #553C22×C83semidirect
839. #553C22×C83semidirect
840. #553C22×C83semidirect
841. #552C22×C83semidirect
842. #551C22×C83semidirect
843. #551C22×C83semidirect
844. #551C22×C83semidirect
845. #551C22×C83semidirect
846. #550C22×C83semidirect
847. #550C22×C83semidirect
848. #548C22×C83semidirect
849. #547C22×C83semidirect
850. #546C22×C83semidirect
851. #546C22×C83semidirect
852. #546C22×C83semidirect
853. #546C22×C83semidirect
854. #546C22×C83semidirect
855. #546C22×C83semidirect
856. #546C22×C83semidirect
857. #546C22×C83semidirect
858. #546C22×C83semidirect
859. #546C22×C83semidirect
860. #546C22×C83semidirect
861. #546C22×C83semidirect
862. #546C22×C83semidirect
863. #546C22×C83semidirect
864. #546C22×C83semidirect
865. #546C22×C83semidirect
866. D42C22×C83semidirect
867. D42C22×C83semidirect
868. D42C22×C83semidirect
869. D42C22×C83semidirect
870. D42C22×C83semidirect
871. D42C22×C83semidirect
872. D42C22×C83semidirect
873. D42C22×C83semidirect
874. D42C22×C83semidirect
875. D42C22×C83semidirect
876. D42C22×C83semidirect
877. D42C22×C83semidirect
878. D42C22×C83semidirect
879. D42C22×C83semidirect
880. #543C22×C83semidirect
881. #542C22×C83semidirect
882. #540C22×C83semidirect
883. #540C22×C83semidirect
884. #540C22×C83semidirect
885. #540C22×C83semidirect
886. #539C22×C83semidirect
887. #539C22×C83semidirect
888. #539C22×C83semidirect
889. #539C22×C83semidirect
890. #538C22×C83semidirect
891. #538C22×C83semidirect
892. #538C22×C83semidirect
893. #538C22×C83semidirect
894. #538C22×C83semidirect
895. #538C22×C83semidirect
896. #538C22×C83semidirect
897. #538C22×C83semidirect
898. #538C22×C83semidirect
899. #538C22×C83semidirect
900. #537C22×C83semidirect
901. #537C22×C83semidirect
902. #537C22×C83semidirect
903. #535C22×C83semidirect
904. #535C22×C83semidirect
905. #535C22×C83semidirect
906. #535C22×C83semidirect
907. #535C22×C83semidirect
908. #535C22×C83semidirect
909. #534C22×C83semidirect
910. #534C22×C83semidirect
911. #534C22×C83semidirect
912. #534C22×C83semidirect
913. #534C22×C83semidirect
914. #534C22×C83semidirect
915. #534C22×C83semidirect
916. #534C22×C83semidirect
917. #534C22×C83semidirect
918. #534C22×C83semidirect
919. #534C22×C83semidirect
920. #534C22×C83semidirect
921. #534C22×C83semidirect
922. #532C22×C83semidirect
923. C2×#127C22×C83semidirect
924. #529C22×C83semidirect
925. #529C22×C83semidirect
926. #529C22×C83semidirect
927. C2×#124C22×C83semidirect
928. #525C22×C83semidirect
929. #525C22×C83semidirect
930. #525C22×C83semidirect
931. #525C22×C83semidirect
932. #525C22×C83semidirect
933. #525C22×C83semidirect
934. C2×#123C22×C83semidirect
935. C2×#123C22×C83semidirect
936. C2×C22⋊Q8C22×C83semidirect
937. C2×#121C22×C83semidirect
938. C2×#121C22×C83semidirect
939. C2×#121C22×C83semidirect
940. C2×#121C22×C83semidirect
941. C2×#121C22×C83semidirect
942. C2×#121C22×C83semidirect
943. C2×#121C22×C83semidirect
944. C2×#121C22×C83semidirect
945. C2×#120C22×C83semidirect
946. C2×#120C22×C83semidirect
947. C2×#120C22×C83semidirect
948. C2×#120C22×C83semidirect
949. C2×#120C22×C83semidirect
950. #520C22×C83semidirect
951. #518C22×C83semidirect
952. #518C22×C83semidirect
953. C2×C4×D4C22×C83semidirect
954. C2×C4×D4C22×C83semidirect
955. C2×C4×D4C22×C83semidirect
956. C2×C4×D4C22×C83semidirect
957. C22×C22⋊C4C22×C83semidirect
959. C25C23×C83semidirect
964. C2×#41C23×C83semidirect
965. C2×#41C23×C83semidirect
966. C2×#41C23×C83semidirect
967. C2×#41C23×C83semidirect
968. C2×#41C23×C83semidirect
969. C2×#41C23×C83semidirect
970. C2×#41C23×C83semidirect
971. C2×#41C23×C83semidirect
972. C22×Q8C23×C83semidirect
988. C22×D4C23×C83semidirect
989. C22×D4C23×C83semidirect
990. C22×D4C23×C83semidirect
991. C22×D4C23×C83semidirect
992. C22×D4C23×C83semidirect
993. C22×D4C23×C83semidirect
994. C22×D4C23×C83semidirect
995. C22×D4C23×C83semidirect
996. C22×D4C23×C83semidirect
997. C22×D4C23×C83semidirect
998. C22×D4C23×C83semidirect
999. C22×D4C23×C83semidirect
1000. C22×D4C23×C83semidirect
1001. C22×D4C23×C83semidirect
1002. C22×D4C23×C83semidirect
1003. C22×D4C23×C83semidirect
1004. C22×D4C23×C83semidirect
1005. C22×D4C23×C83semidirect
1007. C23×C4C23×C83semidirect
1008. C23×C4C23×C83semidirect
1009. C23×C4C23×C83semidirect
1010. C23×C4C23×C83semidirect
1011. C23×C4C23×C83semidirect
1012. C4⋊Q8C23×C83semidirect
1014. #127C23×C83semidirect
1015. #127C23×C83semidirect
1016. #127C23×C83semidirect
1017. #127C23×C83semidirect
1018. #127C23×C83semidirect
1019. #126C23×C83semidirect
1020. #126C23×C83semidirect
1021. #126C23×C83semidirect
1022. #126C23×C83semidirect
1023. #126C23×C83semidirect
1024. #126C23×C83semidirect
1025. #126C23×C83semidirect
1026. #126C23×C83semidirect
1027. #125C23×C83semidirect
1028. #125C23×C83semidirect
1029. #125C23×C83semidirect
1030. #125C23×C83semidirect
1031. #124C23×C83semidirect
1032. #124C23×C83semidirect
1033. #124C23×C83semidirect
1034. #124C23×C83semidirect
1035. #124C23×C83semidirect
1036. #124C23×C83semidirect
1037. #124C23×C83semidirect
1038. #124C23×C83semidirect
1039. #124C23×C83semidirect
1040. #124C23×C83semidirect
1041. #124C23×C83semidirect
1044. #123C23×C83semidirect
1045. #123C23×C83semidirect
1046. #123C23×C83semidirect
1047. #123C23×C83semidirect
1048. #123C23×C83semidirect
1049. #123C23×C83semidirect
1050. #123C23×C83semidirect
1051. #123C23×C83semidirect
1052. #123C23×C83semidirect
1053. #123C23×C83semidirect
1054. #123C23×C83semidirect
1055. #123C23×C83semidirect
1056. #123C23×C83semidirect
1057. #123C23×C83semidirect
1058. #123C23×C83semidirect
1059. #123C23×C83semidirect
1060. #123C23×C83semidirect
1061. #123C23×C83semidirect
1062. #123C23×C83semidirect
1063. #123C23×C83semidirect
1064. #123C23×C83semidirect
1065. #123C23×C83semidirect
1066. #123C23×C83semidirect
1067. C22⋊Q8C23×C83semidirect
1068. C22⋊Q8C23×C83semidirect
1069. C22⋊Q8C23×C83semidirect
1070. C22⋊Q8C23×C83semidirect
1071. C22⋊Q8C23×C83semidirect
1072. C22⋊Q8C23×C83semidirect
1073. C22⋊Q8C23×C83semidirect
1074. C22⋊Q8C23×C83semidirect
1075. C22⋊Q8C23×C83semidirect
1076. C22⋊Q8C23×C83semidirect
1077. C22⋊Q8C23×C83semidirect
1078. C22⋊Q8C23×C83semidirect
1079. C22⋊Q8C23×C83semidirect
1080. C22⋊Q8C23×C83semidirect
1081. C22⋊Q8C23×C83semidirect
1090. #121C23×C83semidirect
1091. #121C23×C83semidirect
1092. #121C23×C83semidirect
1093. #121C23×C83semidirect
1094. #121C23×C83semidirect
1095. #121C23×C83semidirect
1096. #121C23×C83semidirect
1097. #121C23×C83semidirect
1098. #121C23×C83semidirect
1099. #121C23×C83semidirect
1100. #121C23×C83semidirect
1101. #121C23×C83semidirect
1102. #121C23×C83semidirect
1103. #121C23×C83semidirect
1104. #121C23×C83semidirect
1105. #121C23×C83semidirect
1106. #121C23×C83semidirect
1107. #121C23×C83semidirect
1108. #121C23×C83semidirect
1109. #121C23×C83semidirect
1110. #121C23×C83semidirect
1111. #121C23×C83semidirect
1112. #121C23×C83semidirect
1113. #121C23×C83semidirect
1114. #121C23×C83semidirect
1115. #121C23×C83semidirect
1116. #121C23×C83semidirect
1117. #121C23×C83semidirect
1118. #121C23×C83semidirect
1119. #121C23×C83semidirect
1120. #121C23×C83semidirect
1121. #121C23×C83semidirect
1122. #121C23×C83semidirect
1123. #121C23×C83semidirect
1124. #121C23×C83semidirect
1125. #121C23×C83semidirect
1126. #121C23×C83semidirect
1127. #121C23×C83semidirect
1128. #121C23×C83semidirect
1129. #121C23×C83semidirect
1130. #121C23×C83semidirect
1131. #121C23×C83semidirect
1137. #120C23×C83semidirect
1138. #120C23×C83semidirect
1139. #120C23×C83semidirect
1140. #120C23×C83semidirect
1141. #120C23×C83semidirect
1142. #120C23×C83semidirect
1143. #120C23×C83semidirect
1144. #120C23×C83semidirect
1145. #120C23×C83semidirect
1146. #120C23×C83semidirect
1147. #120C23×C83semidirect
1148. #120C23×C83semidirect
1149. #120C23×C83semidirect
1150. #120C23×C83semidirect
1151. #120C23×C83semidirect
1152. #120C23×C83semidirect
1153. #120C23×C83semidirect
1154. #120C23×C83semidirect
1155. #120C23×C83semidirect
1156. #120C23×C83semidirect
1157. #120C23×C83semidirect
1158. #120C23×C83semidirect
1159. C4×Q8C23×C83semidirect
1160. C4×Q8C23×C83semidirect
1165. C4×D4C23×C83semidirect
1166. C4×D4C23×C83semidirect
1167. C4×D4C23×C83semidirect
1168. C4×D4C23×C83semidirect
1169. C4×D4C23×C83semidirect
1170. C4×D4C23×C83semidirect
1171. C4×D4C23×C83semidirect
1172. C4×D4C23×C83semidirect
1173. C4×D4C23×C83semidirect
1174. C4×D4C23×C83semidirect
1175. C4×D4C23×C83semidirect
1176. C4×D4C23×C83semidirect
1177. C4×D4C23×C83semidirect
1178. C4×D4C23×C83semidirect
1179. C4×D4C23×C83semidirect
1180. C4×D4C23×C83semidirect
1181. C4×D4C23×C83semidirect
1182. C4×D4C23×C83semidirect
1183. C4×D4C23×C83semidirect
1184. C4×D4C23×C83semidirect
1185. C4×D4C23×C83semidirect
1186. C4×D4C23×C83semidirect
1187. C4×D4C23×C83semidirect
1188. C4×D4C23×C83semidirect
1189. #117C23×C83semidirect
1190. #117C23×C83semidirect
1191. #117C23×C83semidirect
1192. #117C23×C83semidirect
1193. #117C23×C83semidirect
1194. #117C23×C83semidirect
1195. #117C23×C83semidirect
1196. C2×C4⋊C4C23×C83semidirect
1197. C2×C4⋊C4C23×C83semidirect
1198. C2×C4⋊C4C23×C83semidirect
1199. C2×C4⋊C4C23×C83semidirect
1200. C2×C4⋊C4C23×C83semidirect
1201. C2×C4⋊C4C23×C83semidirect
1202. C2×C4⋊C4C23×C83semidirect
1203. C2×C4⋊C4C23×C83semidirect
1207. C2×C22⋊C4C23×C83semidirect
1208. C2×C22⋊C4C23×C83semidirect
1209. C2×C22⋊C4C23×C83semidirect
1210. C2×C22⋊C4C23×C83semidirect
1211. C2×C22⋊C4C23×C83semidirect
1212. C2×C22⋊C4C23×C83semidirect
1213. C2×C22⋊C4C23×C83semidirect
1214. C2×C22⋊C4C23×C83semidirect
1215. C2×C22⋊C4C23×C83semidirect
1216. C2×C22⋊C4C23×C83semidirect
1217. C2×C22⋊C4C23×C83semidirect
1218. C2×C22⋊C4C23×C83semidirect
1219. C2×C22⋊C4C23×C83semidirect
1220. C2×C22⋊C4C23×C83semidirect
1221. C2×C22⋊C4C23×C83semidirect
1222. C2×C22⋊C4C23×C83semidirect
1223. C2×C22⋊C4C23×C83semidirect
1224. C2×C42C23×C83semidirect
1225. C2×C42C23×C83semidirect
1450. C23H(5,𝔽2)×C83semidirect
1498. D4H(5,𝔽2)×C83semidirect

Maximal subgroups

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

subgroupindex
C83×#35582
C83×#35432
C83×#35422
C83×#35372
C83×#35342
C83×#35322
C83×#35192
C83×#35132
C83×#35052
C83×#34962
C83×#34902
C83×#34882
C83×#34842
C2×#546×C832
C2×D42×C832
C83×#34592
C2×#534×C832
#6289283