Finite Group Databasebeta

← C47×#62892 #26102590

Subgroups — C47×#62892 #26102590

Order 12032.

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
1C47×#3558C212yesmaximal, complemented
2C47×#3543C214yesmaximal, complemented
3C47×#3542C214yesmaximal, complemented
4C47×#3537C214yesmaximal, complemented
5C47×#3537C212yesmaximal, complemented
6C47×#3534C218yesmaximal, complemented
7C47×#3534C214yesmaximal, complemented
8C47×#3532C218yesmaximal, complemented
9C47×#3519C212yesmaximal, complemented
10C47×#3513C214yesmaximal, complemented
11C47×#3505C212yesmaximal, complemented
12C47×#3496C211yesmaximal, characteristic, complemented
13C47×#3490C212yesmaximal, complemented
14C47×#3488C212yesmaximal, complemented
15C47×#3484C214yesmaximal, complemented
16C47×#3484C214yesmaximal, complemented
17C2×C47×#546C211yesmaximal, characteristic, complemented
18C2×D42×C47C212yesmaximal, complemented
19C47×#3459C211yesmaximal, characteristic, complemented
20C2×C47×#534C212yesmaximal, complemented
21C2×H(5,𝔽2)×C47C2212yescomplemented
22C2×H(5,𝔽2)×C47C2212yescomplemented
23C22×#41×C47C2211yescharacteristic, complemented
24C23×D4×C47C2211yescharacteristic, complemented
25C23×D4×C47C2214yescomplemented
26C23×D4×C47C2212yescomplemented
27C47×#562C2218yescomplemented
28C47×#562C2214yescomplemented
29C47×H(3,𝔽4)C2214yescomplemented
30C47×#560C2218yescomplemented
31C47×#560C2218yescomplemented
32C47×#560C2218yescomplemented
33C47×#560C2218yescomplemented
34C47×#559C2214yescomplemented
35C47×#555C2212yescomplemented
36C47×#554C2212yescomplemented
37C47×#553C2214yescomplemented
38C47×#553C2218yescomplemented
39C47×#553C2214yescomplemented
40C47×#553C2218yescomplemented
41C47×#553C2214yescomplemented
42C47×#552C2214yescomplemented
43C47×#551C2218yescomplemented
44C47×#551C2218yescomplemented
45C47×#551C2218yescomplemented
46C47×#551C2218yescomplemented
47C47×#550C2214yescomplemented
48C47×#550C2212yescomplemented
49C47×#548C2214yescomplemented
50C47×#547C2214yescomplemented
51C47×#546C2214yescomplemented
52C47×#546C2214yescomplemented
53C47×#546C2214yescomplemented
54C47×#546C2218yescomplemented
55C47×#546C2218yescomplemented
56C47×#546C2218yescomplemented
57C47×#546C2218yescomplemented
58C47×#546C2214yescomplemented
59C47×#546C2218yescomplemented
60C47×#546C2218yescomplemented
61C47×#546C2214yescomplemented
62C47×#546C2218yescomplemented
63C47×#546C2218yescomplemented
64C47×#546C2218yescomplemented
65C47×#546C2218yescomplemented
66C47×#546C2214yescomplemented
67D42×C47C2214yescomplemented
68D42×C47C2214yescomplemented
69D42×C47C2218yescomplemented
70D42×C47C2214yescomplemented
71D42×C47C2212yescomplemented
72D42×C47C2218yescomplemented
73D42×C47C2218yescomplemented
74D42×C47C2218yescomplemented
75D42×C47C2218yescomplemented
76D42×C47C2214yescomplemented
77D42×C47C2214yescomplemented
78D42×C47C2214yescomplemented
79D42×C47C2218yescomplemented
80D42×C47C2218yescomplemented
81C47×#543C2211yescharacteristic, complemented
82C47×#542C2214yescomplemented
83C47×#540C2214yescomplemented
84C47×#540C2214yescomplemented
85C47×#540C2218yescomplemented
86C47×#540C2218yescomplemented
87C47×#539C2214yescomplemented
88C47×#539C2212yescomplemented
89C47×#539C2214yescomplemented
90C47×#539C2218yescomplemented
91C47×#538C2214yescomplemented
92C47×#538C2218yescomplemented
93C47×#538C2212yescomplemented
94C47×#538C2214yescomplemented
95C47×#538C2218yescomplemented
96C47×#538C2214yescomplemented
97C47×#538C2218yescomplemented
98C47×#538C2214yescomplemented
99C47×#538C2218yescomplemented
100C47×#538C2214yescomplemented
101C47×#537C2212yescomplemented
102C47×#537C2214yescomplemented
103C47×#537C2212yescomplemented
104C47×#535C2218yescomplemented
105C47×#535C2214yescomplemented
106C47×#535C2214yescomplemented
107C47×#535C2212yescomplemented
108C47×#535C2218yescomplemented
109C47×#535C2214yescomplemented
110C47×#534C2211yescharacteristic, complemented
111C47×#534C2214yescomplemented
112C47×#534C2212yescomplemented
113C47×#534C2212yescomplemented
114C47×#534C2218yescomplemented
115C47×#534C2218yescomplemented
116C47×#534C2218yescomplemented
117C47×#534C2218yescomplemented
118C47×#534C2214yescomplemented
119C47×#534C2214yescomplemented
120C47×#534C2218yescomplemented
121C47×#534C2212yescomplemented
122C47×#534C2214yescomplemented
123C47×#532C2212yescomplemented
124C2×#127×C47C2212yescomplemented
125C47×#529C2214yescomplemented
126C47×#529C2214yescomplemented
127C47×#529C2212yescomplemented
128C2×#124×C47C2211yescharacteristic, complemented
129C47×#525C2214yescomplemented
130C47×#525C2218yescomplemented
131C47×#525C2214yescomplemented
132C47×#525C2212yescomplemented
133C47×#525C2214yescomplemented
134C47×#525C2214yescomplemented
135C2×#123×C47C2218yescomplemented
136C2×#123×C47C2212yescomplemented
137C2×C22⋊Q8×C47C2211yescharacteristic, complemented
138C2×#121×C47C2212yescomplemented
139C2×#121×C47C2212yescomplemented
140C2×#121×C47C2214yescomplemented
141C2×#121×C47C2214yescomplemented
142C2×#121×C47C2214yescomplemented
143C2×#121×C47C2211yescharacteristic, complemented
144C2×#121×C47C2212yescomplemented
145C2×#121×C47C2212yescomplemented
146C2×#120×C47C2214yescomplemented
147C2×#120×C47C2212yescomplemented
148C2×#120×C47C2218yescomplemented
149C2×#120×C47C2214yescomplemented
150C2×#120×C47C2218yescomplemented
151C47×#520C2212yescomplemented
152C47×#518C2214yescomplemented
153C47×#518C2214yescomplemented
154C2×C4×D4×C47C2212yescomplemented
155C2×C4×D4×C47C2211yescharacteristic, complemented
156C2×C4×D4×C47C2212yescomplemented
157C2×C4×D4×C47C2211yescharacteristic, complemented
158C22×C22⋊C4×C47C2212yescomplemented
159C25×C47C2312yes—
160C25×C47C2314yescomplemented
161H(5,𝔽2)×C47—48no—
162H(5,𝔽2)×C47—48no—
163C2×#41×C47—44no—
164C2×#41×C47C2312yes—
165C2×#41×C47C2312yescomplemented
166C2×#41×C47C2318yescomplemented
167C2×#41×C47C2314yescomplemented
168C2×#41×C47C2314yescomplemented
169C2×#41×C47C2314yescomplemented
170C2×#41×C47C2314yescomplemented
171C2×#41×C47C2312yescomplemented
172C2×#41×C47C2314yescomplemented
173C22×Q8×C47C2311yescharacteristic, complemented
174C22×D4×C47—44no—
175C22×D4×C47—48no—
176C22×D4×C47—416no—
177C22×D4×C47C2311yescharacteristic
178C22×D4×C47C2312yes—
179C22×D4×C47C2311yescharacteristic
180C22×D4×C47C2312yes—
181C22×D4×C47C2314yes—
182C22×D4×C47C2314yes—
183C22×D4×C47C2314yes—
184C22×D4×C47C2318yes—
185C22×D4×C47C2312yes—
186C22×D4×C47C2311yescharacteristic
187C22×D4×C47C2312yes—
188C22×D4×C47C2318yes—
189C22×D4×C47C2314yescomplemented
190C22×D4×C47C2314yescomplemented
191C22×D4×C47C2312yescomplemented
192C22×D4×C47C2314yescomplemented
193C22×D4×C47C2318yescomplemented
194C22×D4×C47C2318yescomplemented
195C22×D4×C47C2318yescomplemented
196C22×D4×C47C2314yescomplemented
197C22×D4×C47C2312yescomplemented
198C22×D4×C47C2314yescomplemented
199C22×D4×C47C2312yescomplemented
200C22×D4×C47C2318yescomplemented
201C22×D4×C47C2318yescomplemented
202C22×D4×C47C2314yescomplemented
203C22×D4×C47C2314yescomplemented
204C22×D4×C47C2314yescomplemented
205C22×D4×C47C2312yescomplemented
206C22×D4×C47C2318yescomplemented
207C23×C4×C47C2311yescharacteristic
208C23×C4×C47C2312yescomplemented
209C23×C4×C47C2311yescharacteristic, complemented
210C23×C4×C47C2314yescomplemented
211C23×C4×C47C2312yescomplemented
212C23×C4×C47C2312yescomplemented
213C4⋊Q8×C47C2312yescomplemented
214#127×C47C2314yes—
215#127×C47C2314yescomplemented
216#127×C47C2318yescomplemented
217#127×C47C2312yescomplemented
218#127×C47C2318yescomplemented
219#127×C47C2318yescomplemented
220#126×C47C2314yescomplemented
221#126×C47C2314yescomplemented
222#126×C47C2318yescomplemented
223#126×C47C2314yescomplemented
224#126×C47C2318yescomplemented
225#126×C47C2318yescomplemented
226#126×C47C2318yescomplemented
227#126×C47C2318yescomplemented
228#125×C47C2314yescomplemented
229#125×C47C2312yescomplemented
230#125×C47C2314yescomplemented
231#125×C47C2318yescomplemented
232#124×C47C2314yescomplemented
233#124×C47C2314yescomplemented
234#124×C47C2314yescomplemented
235#124×C47C2314yescomplemented
236#124×C47C2312yescomplemented
237#124×C47C2314yescomplemented
238#124×C47C2318yescomplemented
239#124×C47C2318yescomplemented
240#124×C47C2318yescomplemented
241#124×C47C2318yescomplemented
242#124×C47C2318yescomplemented
243#123×C47C2314yes—
244#123×C47C2318yes—
245#123×C47C2318yescomplemented
246#123×C47C2318yescomplemented
247#123×C47C2318yescomplemented
248#123×C47C2318yescomplemented
249#123×C47C2318yescomplemented
250#123×C47C2318yescomplemented
251#123×C47C2318yescomplemented
252#123×C47C2318yescomplemented
253#123×C47C2314yescomplemented
254#123×C47C2314yescomplemented
255#123×C47C2314yescomplemented
256#123×C47C2318yescomplemented
257#123×C47C2318yescomplemented
258#123×C47C2314yescomplemented
259#123×C47C2318yescomplemented
260#123×C47C2314yescomplemented
261#123×C47C2318yescomplemented
262#123×C47C2318yescomplemented
263#123×C47C2318yescomplemented
264#123×C47C2318yescomplemented
265#123×C47C2318yescomplemented
266#123×C47C2318yescomplemented
267#123×C47C2318yescomplemented
268C22⋊Q8×C47C2314yescomplemented
269C22⋊Q8×C47C2314yescomplemented
270C22⋊Q8×C47C2312yescomplemented
271C22⋊Q8×C47C2312yescomplemented
272C22⋊Q8×C47C2312yescomplemented
273C22⋊Q8×C47C2314yescomplemented
274C22⋊Q8×C47C2314yescomplemented
275C22⋊Q8×C47C2314yescomplemented
276C22⋊Q8×C47C2318yescomplemented
277C22⋊Q8×C47C2314yescomplemented
278C22⋊Q8×C47C2318yescomplemented
279C22⋊Q8×C47C2314yescomplemented
280C22⋊Q8×C47C2314yescomplemented
281C22⋊Q8×C47C2318yescomplemented
282C22⋊Q8×C47C2318yescomplemented
283#121×C47C2312yes—
284#121×C47C2312yes—
285#121×C47C2314yes—
286#121×C47C2318yes—
287#121×C47C2314yes—
288#121×C47C2314yes—
289#121×C47C2314yes—
290#121×C47C2314yes—
291#121×C47C2314yescomplemented
292#121×C47C2314yescomplemented
293#121×C47C2314yescomplemented
294#121×C47C2314yescomplemented
295#121×C47C2314yescomplemented
296#121×C47C2318yescomplemented
297#121×C47C2318yescomplemented
298#121×C47C2318yescomplemented
299#121×C47C2318yescomplemented
300#121×C47C2314yescomplemented
301#121×C47C2314yescomplemented
302#121×C47C2314yescomplemented
303#121×C47C2318yescomplemented
304#121×C47C2314yescomplemented
305#121×C47C2314yescomplemented
306#121×C47C2314yescomplemented
307#121×C47C2314yescomplemented
308#121×C47C2318yescomplemented
309#121×C47C2318yescomplemented
310#121×C47C2314yescomplemented
311#121×C47C2318yescomplemented
312#121×C47C2318yescomplemented
313#121×C47C2318yescomplemented
314#121×C47C2312yescomplemented
315#121×C47C2314yescomplemented
316#121×C47C2318yescomplemented
317#121×C47C2314yescomplemented
318#121×C47C2314yescomplemented
319#121×C47C2314yescomplemented
320#121×C47C2318yescomplemented
321#121×C47C2318yescomplemented
322#121×C47C2318yescomplemented
323#121×C47C2318yescomplemented
324#121×C47C2318yescomplemented
325#121×C47C2318yescomplemented
326#121×C47C2318yescomplemented
327#121×C47C2318yescomplemented
328#121×C47C2318yescomplemented
329#121×C47C2318yescomplemented
330#121×C47C2318yescomplemented
331#121×C47C2318yescomplemented
332#121×C47C2318yescomplemented
333#120×C47C2314yes—
334#120×C47C2318yes—
335#120×C47C2318yes—
336#120×C47C2318yes—
337#120×C47C2318yes—
338#120×C47C2318yescomplemented
339#120×C47C2314yescomplemented
340#120×C47C2318yescomplemented
341#120×C47C2318yescomplemented
342#120×C47C2318yescomplemented
343#120×C47C2318yescomplemented
344#120×C47C2318yescomplemented
345#120×C47C2318yescomplemented
346#120×C47C2318yescomplemented
347#120×C47C2318yescomplemented
348#120×C47C2318yescomplemented
349#120×C47C2318yescomplemented
350#120×C47C2318yescomplemented
351#120×C47C2318yescomplemented
352#120×C47C2318yescomplemented
353#120×C47C2318yescomplemented
354#120×C47C2318yescomplemented
355#120×C47C2318yescomplemented
356#120×C47C2314yescomplemented
357#120×C47C2318yescomplemented
358#120×C47C2318yescomplemented
359#120×C47C2318yescomplemented
360C4×Q8×C47C2314yescomplemented
361C4×Q8×C47C2312yescomplemented
362C4×D4×C47C2312yes—
363C4×D4×C47C2314yes—
364C4×D4×C47C2314yes—
365C4×D4×C47C2314yes—
366C4×D4×C47C2314yescomplemented
367C4×D4×C47C2314yescomplemented
368C4×D4×C47C2314yescomplemented
369C4×D4×C47C2318yescomplemented
370C4×D4×C47C2314yescomplemented
371C4×D4×C47C2314yescomplemented
372C4×D4×C47C2312yescomplemented
373C4×D4×C47C2314yescomplemented
374C4×D4×C47C2318yescomplemented
375C4×D4×C47C2318yescomplemented
376C4×D4×C47C2318yescomplemented
377C4×D4×C47C2318yescomplemented
378C4×D4×C47C2318yescomplemented
379C4×D4×C47C2318yescomplemented
380C4×D4×C47C2314yescomplemented
381C4×D4×C47C2314yescomplemented
382C4×D4×C47C2318yescomplemented
383C4×D4×C47C2312yescomplemented
384C4×D4×C47C2314yescomplemented
385C4×D4×C47C2318yescomplemented
386C4×D4×C47C2318yescomplemented
387C4×D4×C47C2318yescomplemented
388C4×D4×C47C2318yescomplemented
389C4×D4×C47C2314yescomplemented
390#117×C47C2314yescomplemented
391#117×C47C2318yescomplemented
392#117×C47C2314yescomplemented
393#117×C47C2312yescomplemented
394#117×C47C2314yescomplemented
395#117×C47C2314yescomplemented
396#117×C47C2318yescomplemented
397C2×C4⋊C4×C47C2312yescomplemented
398C2×C4⋊C4×C47C2312yescomplemented
399C2×C4⋊C4×C47C2311yescharacteristic, complemented
400C2×C4⋊C4×C47C2311yescharacteristic, complemented
401C2×C4⋊C4×C47C2314yescomplemented
402C2×C4⋊C4×C47C2312yescomplemented
403C2×C4⋊C4×C47C2312yescomplemented
404C2×C4⋊C4×C47C2314yescomplemented
405C2×C22⋊C4×C47C2311yescharacteristic
406C2×C22⋊C4×C47C2312yes—
407C2×C22⋊C4×C47C2312yes—
408C2×C22⋊C4×C47C2318yescomplemented
409C2×C22⋊C4×C47C2312yescomplemented
410C2×C22⋊C4×C47C2312yescomplemented
411C2×C22⋊C4×C47C2318yescomplemented
412C2×C22⋊C4×C47C2312yescomplemented
413C2×C22⋊C4×C47C2314yescomplemented
414C2×C22⋊C4×C47C2312yescomplemented
415C2×C22⋊C4×C47C2311yescharacteristic, complemented
416C2×C22⋊C4×C47C2318yescomplemented
417C2×C22⋊C4×C47C2318yescomplemented
418C2×C22⋊C4×C47C2318yescomplemented
419C2×C22⋊C4×C47C2314yescomplemented
420C2×C22⋊C4×C47C2314yescomplemented
421C2×C22⋊C4×C47C2318yescomplemented
422C2×C22⋊C4×C47C2312yescomplemented
423C2×C22⋊C4×C47C2318yescomplemented
424C2×C22⋊C4×C47C2314yescomplemented
425C2×C42×C47C2311yescharacteristic, complemented
426C2×C42×C47C2312yescomplemented
427C24×C47—28no—
428C24×C47—44no—
429C24×C47—48no—
430C24×C47—48no—
431C24×C47—82no—
432C24×C47—84no—
433C24×C47C2414yes—
434C24×C47C2412yes—
435C24×C47C2414yes—
436C24×C47C2414yes—
437C24×C47C2418yes—
438C24×C47C2412yes—
439C24×C47C2412yes—
440C24×C47C2411yescharacteristic
441C24×C47C2418yes—
442C24×C47C2414yes—
443C24×C47C2411yescharacteristic
444#41×C47—28no—
445#41×C47—44no—
446#41×C47—48no—
447#41×C47—416no—
448#41×C47—48no—
449#41×C47—48no—
450#41×C47—44no—
451#41×C47—48no—
452#41×C47—84no—
453C2×Q8×C47—42no—
454C2×Q8×C47C2412yes—
455C2×Q8×C47C2412yes—
456C2×Q8×C47C2412yes—
457C2×Q8×C47C2412yes—
458C2×Q8×C47C2414yes—
459C2×D4×C47—28no—
460C2×D4×C47—216no—
461C2×D4×C47—24no—
462C2×D4×C47—28no—
463C2×D4×C47—24no—
464C2×D4×C47—216no—
465C2×D4×C47—44no—
466C2×D4×C47—42no—
467C2×D4×C47—44no—
468C2×D4×C47—48no—
469C2×D4×C47—44no—
470C2×D4×C47—48no—
471C2×D4×C47—48no—
472C2×D4×C47—48no—
473C2×D4×C47—44no—
474C2×D4×C47—416no—
475C2×D4×C47—416no—
476C2×D4×C47—48no—
477C2×D4×C47—416no—
478C2×D4×C47—416no—
479C2×D4×C47—416no—
480C2×D4×C47—48no—
481C2×D4×C47—44no—
482C2×D4×C47—48no—
483C2×D4×C47—416no—
484C2×D4×C47—416no—
485C2×D4×C47—82no—
486C2×D4×C47—84no—
487C2×D4×C47—84no—
488C2×D4×C47—88no—
489C2×D4×C47C2414yes—
490C2×D4×C47C2418yes—
491C2×D4×C47C2414yes—
492C2×D4×C47C2418yes—
493C2×D4×C47C2414yes—
494C2×D4×C47C2412yes—
495C2×D4×C47C2414yes—
496C2×D4×C47C2418yes—
497C2×D4×C47C2414yes—
498C2×D4×C47C2412yes—
499C2×D4×C47C2414yes—
500C2×D4×C47C2411yescharacteristic
501C2×D4×C47C2412yes—
502C2×D4×C47C2418yes—
503C2×D4×C47C2418yes—
504C2×D4×C47C2418yes—
505C2×D4×C47C2414yes—
506C2×D4×C47C2414yes—
507C2×D4×C47C2418yes—
508C2×D4×C47C2412yes—
509C2×D4×C47C2418yes—
510C2×D4×C47C2418yes—
511C2×D4×C47C2418yes—
512C2×D4×C47C2414yes—
513C2×D4×C47C2414yes—
514C2×D4×C47C2412yes—
515C2×D4×C47C2414yes—
516C2×D4×C47C2414yes—
517C2×D4×C47C2418yes—
518C2×D4×C47C2418yes—
519C2×D4×C47C2414yes—
520C2×D4×C47C2418yes—
521C2×D4×C47C2414yes—
522C2×D4×C47C2418yes—
523C2×D4×C47C2411yescharacteristic
524C22×C4×C47—42no—
525C22×C4×C47—44no—
526C22×C4×C47—42no—
527C22×C4×C47—48no—
528C22×C4×C47—44no—
529C22×C4×C47—82no—
530C22×C4×C47C2411yescharacteristic
531C22×C4×C47C2412yes—
532C22×C4×C47C2411yescharacteristic
533C22×C4×C47C2412yes—
534C22×C4×C47C2414yes—
535C22×C4×C47C2414yes—
536C22×C4×C47C2412yes—
537C22×C4×C47C2414yes—
538C22×C4×C47C2412yes—
539C22×C4×C47C2411yescharacteristic
540C22×C4×C47C2412yes—
541C22×C4×C47C2412yes—
542C22×C4×C47C2412yes—
543C22×C4×C47C2411yescharacteristic
544C22×C4×C47C2414yes—
545C22×C4×C47C2412yes—
546C22×C4×C47C2418yes—
547C22×C4×C47C2418yes—
548C22×C4×C47C2414yes—
549C22×C4×C47C2418yes—
550C22×C4×C47C2418yes—
551C22×C4×C47C2414yes—
552C22×C4×C47C2412yes—
553C22×C4×C47C2411yescharacteristic
554C22×C4×C47C2414yes—
555C22×C4×C47C2414yes—
556C22×C4×C47C2418yes—
557C4⋊C4×C47C2414yes—
558C4⋊C4×C47C2412yes—
559C4⋊C4×C47C2414yes—
560C4⋊C4×C47C2412yes—
561C4⋊C4×C47C2412yes—
562C4⋊C4×C47C2418yes—
563C4⋊C4×C47C2418yes—
564C4⋊C4×C47C2414yes—
565C4⋊C4×C47C2414yes—
566C4⋊C4×C47C2414yes—
567C4⋊C4×C47C2414yes—
568C4⋊C4×C47C2414yes—
569C4⋊C4×C47C2412yes—
570C4⋊C4×C47C2418yes—
571C4⋊C4×C47C2412yes—
572C4⋊C4×C47C2412yes—
573C4⋊C4×C47C2414yes—
574C4⋊C4×C47C2418yes—
575C4⋊C4×C47C2414yes—
576C4⋊C4×C47C2418yes—
577C4⋊C4×C47C2414yes—
578C4⋊C4×C47C2414yes—
579C22⋊C4×C47C2414yes—
580C22⋊C4×C47C2418yes—
581C22⋊C4×C47C2414yes—
582C22⋊C4×C47C2414yes—
583C22⋊C4×C47C2414yes—
584C22⋊C4×C47C2418yes—
585C22⋊C4×C47C2418yes—
586C22⋊C4×C47C2418yes—
587C22⋊C4×C47C2414yes—
588C22⋊C4×C47C2414yes—
589C22⋊C4×C47C2418yes—
590C22⋊C4×C47C2418yes—
591C22⋊C4×C47C2414yes—
592C22⋊C4×C47C2414yes—
593C22⋊C4×C47C2418yes—
594C22⋊C4×C47C2418yes—
595C22⋊C4×C47C2418yes—
596C22⋊C4×C47C2418yes—
597C22⋊C4×C47C2418yes—
598C22⋊C4×C47C2418yes—
599C22⋊C4×C47C2418yes—
600C22⋊C4×C47C2414yes—
601C22⋊C4×C47C2414yes—
602C22⋊C4×C47C2418yes—
603C22⋊C4×C47C2418yes—
604C22⋊C4×C47C2418yes—
605C22⋊C4×C47C2418yes—
606C22⋊C4×C47C2418yes—
607C22⋊C4×C47C2414yes—
608C22⋊C4×C47C2414yes—
609C22⋊C4×C47C2414yes—
610C22⋊C4×C47C2414yes—
611C42×C47C2414yes—
612C42×C47C2412yes—
613C42×C47C2414yes—
614C42×C47C2412yes—
615C42×C47C2418yes—
616C42×C47C2418yes—
617C23×C47—24no—
618C23×C47—28no—
619C23×C47—28no—
620C23×C47—24no—
621C23×C47—24no—
622C23×C47—22no—
623C23×C47—216no—
624C23×C47—28no—
625C23×C47—24no—
626C23×C47—28no—
627C23×C47—41no—
628C23×C47—42no—
629C23×C47—42no—
630C23×C47—41no—
631C23×C47—44no—
632C23×C47—42no—
633C23×C47—41no—
634C23×C47—42no—
635C23×C47—44no—
636C23×C47—44no—
637C23×C47—48no—
638C23×C47—48no—
639C23×C47—48no—
640C23×C47—41no—
641C23×C47—42no—
642C23×C47—48no—
643C23×C47—44no—
644C23×C47—44no—
645C23×C47—48no—
646C23×C47—44no—
647C23×C47—44no—
648C23×C47—44no—
649C23×C47—816no—
650C23×C47—832no—
651C23×C47H(5,𝔽2)14yescomplemented
652C23×C47C2514yes—
653C23×C47C2514yes—
654C23×C47C2518yes—
655C23×C47C2512yes—
656C23×C47C2512yes—
657C23×C47C2512yes—
658C23×C47C2512yes—
659C23×C47C2511yescharacteristic
660Q8×C47—24no—
661Q8×C47—42no—
662Q8×C47—42no—
663Q8×C47—44no—
664Q8×C47—42no—
665D4×C47—28no—
666D4×C47—28no—
667D4×C47—28no—
668D4×C47—216no—
669D4×C47—216no—
670D4×C47—216no—
671D4×C47—28no—
672D4×C47—24no—
673D4×C47—28no—
674D4×C47—24no—
675D4×C47—28no—
676D4×C47—22no—
677D4×C47—44no—
678D4×C47—48no—
679D4×C47—44no—
680D4×C47—48no—
681D4×C47—48no—
682D4×C47—48no—
683D4×C47—48no—
684D4×C47—42no—
685D4×C47—42no—
686D4×C47—44no—
687D4×C47—44no—
688D4×C47—48no—
689D4×C47—44no—
690D4×C47—48no—
691D4×C47—44no—
692D4×C47—48no—
693D4×C47—48no—
694D4×C47—42no—
695D4×C47—48no—
696D4×C47—44no—
697D4×C47—44no—
698D4×C47—48no—
699D4×C47H(5,𝔽2)14yescomplemented
700C2×C4×C47—24no—
701C2×C4×C47—28no—
702C2×C4×C47—28no—
703C2×C4×C47—22no—
704C2×C4×C47—24no—
705C2×C4×C47—22no—
706C2×C4×C47—28no—
707C2×C4×C47—24no—
708C2×C4×C47—41no—
709C2×C4×C47—41no—
710C2×C4×C47—48no—
711C2×C4×C47—44no—
712C2×C4×C47—48no—
713C2×C4×C47—42no—
714C2×C4×C47—42no—
715C2×C4×C47—42no—
716C2×C4×C47—42no—
717C2×C4×C47—44no—
718C2×C4×C47—41no—
719C2×C4×C47—42no—
720C2×C4×C47—44no—
721C2×C4×C47—44no—
722C2×C4×C47—44no—
723C2×C4×C47—48no—
724C2×C4×C47—48no—
725C2×C4×C47—42no—
726C2×C4×C47—48no—
727C2×C4×C47C2514yes—
728C2×C4×C47C2512yes—
729C2×C4×C47C2514yes—
730C2×C4×C47C2512yes—
731C2×C4×C47C2511yescharacteristic
732C2×C4×C47C2514yes—
733C2×C4×C47C2514yes—
734C2×C4×C47C2518yes—
735C2×C4×C47C2514yes—
736C2×C4×C47C2512yes—
737C2×C4×C47C2512yes—
738C2×C4×C47C2511yescharacteristic
739#62892C4711yesmaximal, characteristic, direct product factor, Sylow
740C22×C47—21no—
741C22×C47—22no—
742C22×C47—22no—
743C22×C47—21no—
744C22×C47—22no—
745C22×C47—22no—
746C22×C47—22no—
747C22×C47—24no—
748C22×C47—22no—
749C22×C47—22no—
750C22×C47—24no—
751C22×C47—28no—
752C22×C47—28no—
753C22×C47—24no—
754C22×C47—24no—
755C22×C47—22no—
756C22×C47—22no—
757C22×C47—28no—
758C22×C47—22no—
759C22×C47—24no—
760C22×C47—24no—
761C22×C47—44no—
762C22×C47—48no—
763C22×C47—416no—
764C22×C47—48no—
765C22×C47—82no—
766C22×C47—88no—
767C22×C47—88no—
768C22×C47—816no—
769C22×C47—84no—
770C22×C47—816no—
771C22×C47—164no—
772C22×C47C2×H(5,𝔽2)14yes—
773C22×C47C2×H(5,𝔽2)14yes—
774C22×C47C2×H(5,𝔽2)12yes—
775C22×C47C2611yescharacteristic
776C4×C47—22no—
777C4×C47—24no—
778C4×C47—22no—
779C4×C47—28no—
780C4×C47—24no—
781C4×C47—22no—
782C4×C47—21no—
783C4×C47—24no—
784C4×C47—24no—
785C4×C47—22no—
786C4×C47—24no—
787C4×C47C2×H(5,𝔽2)12yes—
788#3558C2×C4712yescomplemented
789#3543C2×C4714yescomplemented
790#3542C2×C4714yescomplemented
791#3537C2×C4714yescomplemented
792#3537C2×C4712yescomplemented
793#3534C2×C4718yescomplemented
794#3534C2×C4714yescomplemented
795#3532C2×C4718yescomplemented
796#3519C2×C4712yescomplemented
797#3513C2×C4714yescomplemented
798#3505C2×C4712yescomplemented
799#3496C2×C4711yescharacteristic, complemented
800#3490C2×C4712yescomplemented
801#3488C2×C4712yescomplemented
802#3484C2×C4714yescomplemented
803#3484C2×C4714yescomplemented
804C2×#546C2×C4711yescharacteristic, complemented
805C2×D42C2×C4712yescomplemented
806#3459C2×C4711yescharacteristic, complemented
807C2×#534C2×C4712yescomplemented
808C2×C47—24no—
809C2×C47—24no—
810C2×C47—22no—
811C2×C47—42no—
812C2×C47—44no—
813C2×C47—44no—
814C2×C47—48no—
815C2×C47—42no—
816C2×C47C22×H(5,𝔽2)11yescharacteristic
817C2×C47C22×H(5,𝔽2)11yescharacteristic
818C2×C47H(7,𝔽2)11yescharacteristic
819C2×H(5,𝔽2)C22×C4712yescomplemented
820C2×H(5,𝔽2)C22×C4712yescomplemented
821C22×#41C22×C4711yescharacteristic, complemented
822C23×D4C22×C4711yescharacteristic, complemented
823C23×D4C22×C4714yescomplemented
824C23×D4C22×C4712yescomplemented
825#562C22×C4718yescomplemented
826#562C22×C4714yescomplemented
827H(3,𝔽4)C22×C4714yescomplemented
828#560C22×C4718yescomplemented
829#560C22×C4718yescomplemented
830#560C22×C4718yescomplemented
831#560C22×C4718yescomplemented
832#559C22×C4714yescomplemented
833#555C22×C4712yescomplemented
834#554C22×C4712yescomplemented
835#553C22×C4718yescomplemented
836#553C22×C4714yescomplemented
837#553C22×C4714yescomplemented
838#553C22×C4718yescomplemented
839#553C22×C4714yescomplemented
840#552C22×C4714yescomplemented
841#551C22×C4718yescomplemented
842#551C22×C4718yescomplemented
843#551C22×C4718yescomplemented
844#551C22×C4718yescomplemented
845#550C22×C4714yescomplemented
846#550C22×C4712yescomplemented
847#548C22×C4714yescomplemented
848#547C22×C4714yescomplemented
849#546C22×C4714yescomplemented
850#546C22×C4714yescomplemented
851#546C22×C4714yescomplemented
852#546C22×C4718yescomplemented
853#546C22×C4718yescomplemented
854#546C22×C4718yescomplemented
855#546C22×C4718yescomplemented
856#546C22×C4718yescomplemented
857#546C22×C4714yescomplemented
858#546C22×C4718yescomplemented
859#546C22×C4718yescomplemented
860#546C22×C4714yescomplemented
861#546C22×C4718yescomplemented
862#546C22×C4718yescomplemented
863#546C22×C4718yescomplemented
864#546C22×C4714yescomplemented
865D42C22×C4714yescomplemented
866D42C22×C4718yescomplemented
867D42C22×C4714yescomplemented
868D42C22×C4714yescomplemented
869D42C22×C4712yescomplemented
870D42C22×C4718yescomplemented
871D42C22×C4718yescomplemented
872D42C22×C4718yescomplemented
873D42C22×C4718yescomplemented
874D42C22×C4714yescomplemented
875D42C22×C4714yescomplemented
876D42C22×C4714yescomplemented
877D42C22×C4718yescomplemented
878D42C22×C4718yescomplemented
879#543C22×C4711yescharacteristic, complemented
880#542C22×C4714yescomplemented
881#540C22×C4714yescomplemented
882#540C22×C4714yescomplemented
883#540C22×C4718yescomplemented
884#540C22×C4718yescomplemented
885#539C22×C4714yescomplemented
886#539C22×C4712yescomplemented
887#539C22×C4714yescomplemented
888#539C22×C4718yescomplemented
889#538C22×C4714yescomplemented
890#538C22×C4718yescomplemented
891#538C22×C4712yescomplemented
892#538C22×C4714yescomplemented
893#538C22×C4714yescomplemented
894#538C22×C4714yescomplemented
895#538C22×C4718yescomplemented
896#538C22×C4718yescomplemented
897#538C22×C4718yescomplemented
898#538C22×C4714yescomplemented
899#537C22×C4714yescomplemented
900#537C22×C4712yescomplemented
901#537C22×C4712yescomplemented
902#535C22×C4718yescomplemented
903#535C22×C4714yescomplemented
904#535C22×C4714yescomplemented
905#535C22×C4714yescomplemented
906#535C22×C4712yescomplemented
907#535C22×C4718yescomplemented
908#534C22×C4711yescharacteristic, complemented
909#534C22×C4714yescomplemented
910#534C22×C4712yescomplemented
911#534C22×C4712yescomplemented
912#534C22×C4718yescomplemented
913#534C22×C4718yescomplemented
914#534C22×C4718yescomplemented
915#534C22×C4718yescomplemented
916#534C22×C4714yescomplemented
917#534C22×C4714yescomplemented
918#534C22×C4718yescomplemented
919#534C22×C4712yescomplemented
920#534C22×C4714yescomplemented
921#532C22×C4712yescomplemented
922C2×#127C22×C4712yescomplemented
923#529C22×C4714yescomplemented
924#529C22×C4712yescomplemented
925#529C22×C4714yescomplemented
926C2×#124C22×C4711yescharacteristic, complemented
927#525C22×C4714yescomplemented
928#525C22×C4718yescomplemented
929#525C22×C4712yescomplemented
930#525C22×C4714yescomplemented
931#525C22×C4714yescomplemented
932#525C22×C4714yescomplemented
933C2×#123C22×C4718yescomplemented
934C2×#123C22×C4712yescomplemented
935C2×C22⋊Q8C22×C4711yescharacteristic, complemented
936C2×#121C22×C4712yescomplemented
937C2×#121C22×C4714yescomplemented
938C2×#121C22×C4712yescomplemented
939C2×#121C22×C4714yescomplemented
940C2×#121C22×C4714yescomplemented
941C2×#121C22×C4711yescharacteristic, complemented
942C2×#121C22×C4712yescomplemented
943C2×#121C22×C4712yescomplemented
944C2×#120C22×C4714yescomplemented
945C2×#120C22×C4712yescomplemented
946C2×#120C22×C4718yescomplemented
947C2×#120C22×C4714yescomplemented
948C2×#120C22×C4718yescomplemented
949#520C22×C4712yescomplemented
950#518C22×C4714yescomplemented
951#518C22×C4714yescomplemented
952C2×C4×D4C22×C4712yescomplemented
953C2×C4×D4C22×C4711yescharacteristic, complemented
954C2×C4×D4C22×C4712yescomplemented
955C2×C4×D4C22×C4711yescharacteristic, complemented
956C22×C22⋊C4C22×C4712yescomplemented
957C47#6289211yescharacteristic, direct product factor, Sylow
958C25C23×C4712yes—
959C25C23×C4714yescomplemented
960H(5,𝔽2)—48no—
961H(5,𝔽2)—48no—
962C2×#41—44no—
963C2×#41C23×C4712yes—
964C2×#41C23×C4712yescomplemented
965C2×#41C23×C4718yescomplemented
966C2×#41C23×C4714yescomplemented
967C2×#41C23×C4714yescomplemented
968C2×#41C23×C4714yescomplemented
969C2×#41C23×C4714yescomplemented
970C2×#41C23×C4712yescomplemented
971C2×#41C23×C4714yescomplemented
972C22×Q8C23×C4711yescharacteristic, complemented
973C22×D4—44no—
974C22×D4—48no—
975C22×D4—416no—
976C22×D4C23×C4711yescharacteristic
977C22×D4C23×C4712yes—
978C22×D4C23×C4711yescharacteristic
979C22×D4C23×C4712yes—
980C22×D4C23×C4714yes—
981C22×D4C23×C4714yes—
982C22×D4C23×C4714yes—
983C22×D4C23×C4718yes—
984C22×D4C23×C4712yes—
985C22×D4C23×C4711yescharacteristic
986C22×D4C23×C4712yes—
987C22×D4C23×C4718yes—
988C22×D4C23×C4714yescomplemented
989C22×D4C23×C4714yescomplemented
990C22×D4C23×C4712yescomplemented
991C22×D4C23×C4714yescomplemented
992C22×D4C23×C4718yescomplemented
993C22×D4C23×C4718yescomplemented
994C22×D4C23×C4718yescomplemented
995C22×D4C23×C4714yescomplemented
996C22×D4C23×C4712yescomplemented
997C22×D4C23×C4714yescomplemented
998C22×D4C23×C4712yescomplemented
999C22×D4C23×C4718yescomplemented
1000C22×D4C23×C4718yescomplemented
1001C22×D4C23×C4714yescomplemented
1002C22×D4C23×C4714yescomplemented
1003C22×D4C23×C4714yescomplemented
1004C22×D4C23×C4712yescomplemented
1005C22×D4C23×C4718yescomplemented
1006C23×C4C23×C4711yescharacteristic
1007C23×C4C23×C4712yescomplemented
1008C23×C4C23×C4711yescharacteristic, complemented
1009C23×C4C23×C4714yescomplemented
1010C23×C4C23×C4712yescomplemented
1011C23×C4C23×C4712yescomplemented
1012C4⋊Q8C23×C4712yescomplemented
1013#127C23×C4714yes—
1014#127C23×C4714yescomplemented
1015#127C23×C4718yescomplemented
1016#127C23×C4712yescomplemented
1017#127C23×C4718yescomplemented
1018#127C23×C4718yescomplemented
1019#126C23×C4714yescomplemented
1020#126C23×C4714yescomplemented
1021#126C23×C4718yescomplemented
1022#126C23×C4714yescomplemented
1023#126C23×C4718yescomplemented
1024#126C23×C4718yescomplemented
1025#126C23×C4718yescomplemented
1026#126C23×C4718yescomplemented
1027#125C23×C4714yescomplemented
1028#125C23×C4712yescomplemented
1029#125C23×C4714yescomplemented
1030#125C23×C4718yescomplemented
1031#124C23×C4714yescomplemented
1032#124C23×C4714yescomplemented
1033#124C23×C4714yescomplemented
1034#124C23×C4714yescomplemented
1035#124C23×C4712yescomplemented
1036#124C23×C4714yescomplemented
1037#124C23×C4718yescomplemented
1038#124C23×C4718yescomplemented
1039#124C23×C4718yescomplemented
1040#124C23×C4718yescomplemented
1041#124C23×C4718yescomplemented
1042#123C23×C4714yes—
1043#123C23×C4718yes—
1044#123C23×C4718yescomplemented
1045#123C23×C4718yescomplemented
1046#123C23×C4718yescomplemented
1047#123C23×C4718yescomplemented
1048#123C23×C4718yescomplemented
1049#123C23×C4718yescomplemented
1050#123C23×C4718yescomplemented
1051#123C23×C4718yescomplemented
1052#123C23×C4714yescomplemented
1053#123C23×C4714yescomplemented
1054#123C23×C4714yescomplemented
1055#123C23×C4718yescomplemented
1056#123C23×C4718yescomplemented
1057#123C23×C4714yescomplemented
1058#123C23×C4718yescomplemented
1059#123C23×C4714yescomplemented
1060#123C23×C4718yescomplemented
1061#123C23×C4718yescomplemented
1062#123C23×C4718yescomplemented
1063#123C23×C4718yescomplemented
1064#123C23×C4718yescomplemented
1065#123C23×C4718yescomplemented
1066#123C23×C4718yescomplemented
1067C22⋊Q8C23×C4714yescomplemented
1068C22⋊Q8C23×C4714yescomplemented
1069C22⋊Q8C23×C4712yescomplemented
1070C22⋊Q8C23×C4712yescomplemented
1071C22⋊Q8C23×C4712yescomplemented
1072C22⋊Q8C23×C4714yescomplemented
1073C22⋊Q8C23×C4714yescomplemented
1074C22⋊Q8C23×C4714yescomplemented
1075C22⋊Q8C23×C4718yescomplemented
1076C22⋊Q8C23×C4714yescomplemented
1077C22⋊Q8C23×C4718yescomplemented
1078C22⋊Q8C23×C4714yescomplemented
1079C22⋊Q8C23×C4714yescomplemented
1080C22⋊Q8C23×C4718yescomplemented
1081C22⋊Q8C23×C4718yescomplemented
1082#121C23×C4712yes—
1083#121C23×C4712yes—
1084#121C23×C4714yes—
1085#121C23×C4718yes—
1086#121C23×C4714yes—
1087#121C23×C4714yes—
1088#121C23×C4714yes—
1089#121C23×C4714yes—
1090#121C23×C4714yescomplemented
1091#121C23×C4714yescomplemented
1092#121C23×C4714yescomplemented
1093#121C23×C4714yescomplemented
1094#121C23×C4714yescomplemented
1095#121C23×C4718yescomplemented
1096#121C23×C4718yescomplemented
1097#121C23×C4718yescomplemented
1098#121C23×C4718yescomplemented
1099#121C23×C4714yescomplemented
1100#121C23×C4714yescomplemented
1101#121C23×C4714yescomplemented
1102#121C23×C4718yescomplemented
1103#121C23×C4714yescomplemented
1104#121C23×C4714yescomplemented
1105#121C23×C4714yescomplemented
1106#121C23×C4714yescomplemented
1107#121C23×C4718yescomplemented
1108#121C23×C4718yescomplemented
1109#121C23×C4714yescomplemented
1110#121C23×C4718yescomplemented
1111#121C23×C4718yescomplemented
1112#121C23×C4718yescomplemented
1113#121C23×C4712yescomplemented
1114#121C23×C4714yescomplemented
1115#121C23×C4718yescomplemented
1116#121C23×C4714yescomplemented
1117#121C23×C4714yescomplemented
1118#121C23×C4714yescomplemented
1119#121C23×C4718yescomplemented
1120#121C23×C4718yescomplemented
1121#121C23×C4718yescomplemented
1122#121C23×C4718yescomplemented
1123#121C23×C4718yescomplemented
1124#121C23×C4718yescomplemented
1125#121C23×C4718yescomplemented
1126#121C23×C4718yescomplemented
1127#121C23×C4718yescomplemented
1128#121C23×C4718yescomplemented
1129#121C23×C4718yescomplemented
1130#121C23×C4718yescomplemented
1131#121C23×C4718yescomplemented
1132#120C23×C4714yes—
1133#120C23×C4718yes—
1134#120C23×C4718yes—
1135#120C23×C4718yes—
1136#120C23×C4718yes—
1137#120C23×C4718yescomplemented
1138#120C23×C4714yescomplemented
1139#120C23×C4718yescomplemented
1140#120C23×C4718yescomplemented
1141#120C23×C4718yescomplemented
1142#120C23×C4718yescomplemented
1143#120C23×C4718yescomplemented
1144#120C23×C4718yescomplemented
1145#120C23×C4718yescomplemented
1146#120C23×C4718yescomplemented
1147#120C23×C4718yescomplemented
1148#120C23×C4718yescomplemented
1149#120C23×C4718yescomplemented
1150#120C23×C4718yescomplemented
1151#120C23×C4718yescomplemented
1152#120C23×C4718yescomplemented
1153#120C23×C4718yescomplemented
1154#120C23×C4718yescomplemented
1155#120C23×C4714yescomplemented
1156#120C23×C4718yescomplemented
1157#120C23×C4718yescomplemented
1158#120C23×C4718yescomplemented
1159C4×Q8C23×C4714yescomplemented
1160C4×Q8C23×C4712yescomplemented
1161C4×D4C23×C4712yes—
1162C4×D4C23×C4714yes—
1163C4×D4C23×C4714yes—
1164C4×D4C23×C4714yes—
1165C4×D4C23×C4714yescomplemented
1166C4×D4C23×C4714yescomplemented
1167C4×D4C23×C4714yescomplemented
1168C4×D4C23×C4718yescomplemented
1169C4×D4C23×C4714yescomplemented
1170C4×D4C23×C4714yescomplemented
1171C4×D4C23×C4712yescomplemented
1172C4×D4C23×C4714yescomplemented
1173C4×D4C23×C4718yescomplemented
1174C4×D4C23×C4718yescomplemented
1175C4×D4C23×C4718yescomplemented
1176C4×D4C23×C4718yescomplemented
1177C4×D4C23×C4718yescomplemented
1178C4×D4C23×C4718yescomplemented
1179C4×D4C23×C4714yescomplemented
1180C4×D4C23×C4714yescomplemented
1181C4×D4C23×C4718yescomplemented
1182C4×D4C23×C4712yescomplemented
1183C4×D4C23×C4714yescomplemented
1184C4×D4C23×C4718yescomplemented
1185C4×D4C23×C4718yescomplemented
1186C4×D4C23×C4718yescomplemented
1187C4×D4C23×C4718yescomplemented
1188C4×D4C23×C4714yescomplemented
1189#117C23×C4714yescomplemented
1190#117C23×C4718yescomplemented
1191#117C23×C4714yescomplemented
1192#117C23×C4712yescomplemented
1193#117C23×C4714yescomplemented
1194#117C23×C4714yescomplemented
1195#117C23×C4718yescomplemented
1196C2×C4⋊C4C23×C4712yescomplemented
1197C2×C4⋊C4C23×C4712yescomplemented
1198C2×C4⋊C4C23×C4711yescharacteristic, complemented
1199C2×C4⋊C4C23×C4711yescharacteristic, complemented
1200C2×C4⋊C4C23×C4714yescomplemented
1201C2×C4⋊C4C23×C4712yescomplemented
1202C2×C4⋊C4C23×C4712yescomplemented
1203C2×C4⋊C4C23×C4714yescomplemented
1204C2×C22⋊C4C23×C4711yescharacteristic
1205C2×C22⋊C4C23×C4712yes—
1206C2×C22⋊C4C23×C4712yes—
1207C2×C22⋊C4C23×C4718yescomplemented
1208C2×C22⋊C4C23×C4712yescomplemented
1209C2×C22⋊C4C23×C4712yescomplemented
1210C2×C22⋊C4C23×C4718yescomplemented
1211C2×C22⋊C4C23×C4712yescomplemented
1212C2×C22⋊C4C23×C4714yescomplemented
1213C2×C22⋊C4C23×C4712yescomplemented
1214C2×C22⋊C4C23×C4711yescharacteristic, complemented
1215C2×C22⋊C4C23×C4718yescomplemented
1216C2×C22⋊C4C23×C4718yescomplemented
1217C2×C22⋊C4C23×C4718yescomplemented
1218C2×C22⋊C4C23×C4714yescomplemented
1219C2×C22⋊C4C23×C4714yescomplemented
1220C2×C22⋊C4C23×C4718yescomplemented
1221C2×C22⋊C4C23×C4712yescomplemented
1222C2×C22⋊C4C23×C4718yescomplemented
1223C2×C22⋊C4C23×C4714yescomplemented
1224C2×C42C23×C4711yescharacteristic, complemented
1225C2×C42C23×C4712yescomplemented
1226C24—28no—
1227C24—44no—
1228C24—48no—
1229C24—48no—
1230C24—82no—
1231C24—84no—
1232C24C24×C4714yes—
1233C24C24×C4712yes—
1234C24C24×C4714yes—
1235C24C24×C4714yes—
1236C24C24×C4718yes—
1237C24C24×C4712yes—
1238C24C24×C4712yes—
1239C24C24×C4711yescharacteristic
1240C24C24×C4718yes—
1241C24C24×C4714yes—
1242C24C24×C4711yescharacteristic
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×C4712yes—
1254C2×Q8C24×C4712yes—
1255C2×Q8C24×C4712yes—
1256C2×Q8C24×C4712yes—
1257C2×Q8C24×C4714yes—
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×C4714yes—
1289C2×D4C24×C4718yes—
1290C2×D4C24×C4714yes—
1291C2×D4C24×C4718yes—
1292C2×D4C24×C4714yes—
1293C2×D4C24×C4712yes—
1294C2×D4C24×C4714yes—
1295C2×D4C24×C4718yes—
1296C2×D4C24×C4714yes—
1297C2×D4C24×C4712yes—
1298C2×D4C24×C4714yes—
1299C2×D4C24×C4711yescharacteristic
1300C2×D4C24×C4712yes—
1301C2×D4C24×C4718yes—
1302C2×D4C24×C4718yes—
1303C2×D4C24×C4718yes—
1304C2×D4C24×C4714yes—
1305C2×D4C24×C4714yes—
1306C2×D4C24×C4718yes—
1307C2×D4C24×C4712yes—
1308C2×D4C24×C4718yes—
1309C2×D4C24×C4718yes—
1310C2×D4C24×C4718yes—
1311C2×D4C24×C4714yes—
1312C2×D4C24×C4714yes—
1313C2×D4C24×C4712yes—
1314C2×D4C24×C4714yes—
1315C2×D4C24×C4714yes—
1316C2×D4C24×C4718yes—
1317C2×D4C24×C4718yes—
1318C2×D4C24×C4714yes—
1319C2×D4C24×C4718yes—
1320C2×D4C24×C4714yes—
1321C2×D4C24×C4718yes—
1322C2×D4C24×C4711yescharacteristic
1323C22×C4—42no—
1324C22×C4—44no—
1325C22×C4—42no—
1326C22×C4—48no—
1327C22×C4—44no—
1328C22×C4—82no—
1329C22×C4C24×C4711yescharacteristic
1330C22×C4C24×C4712yes—
1331C22×C4C24×C4711yescharacteristic
1332C22×C4C24×C4712yes—
1333C22×C4C24×C4714yes—
1334C22×C4C24×C4714yes—
1335C22×C4C24×C4712yes—
1336C22×C4C24×C4714yes—
1337C22×C4C24×C4712yes—
1338C22×C4C24×C4711yescharacteristic
1339C22×C4C24×C4712yes—
1340C22×C4C24×C4712yes—
1341C22×C4C24×C4712yes—
1342C22×C4C24×C4711yescharacteristic
1343C22×C4C24×C4714yes—
1344C22×C4C24×C4712yes—
1345C22×C4C24×C4718yes—
1346C22×C4C24×C4718yes—
1347C22×C4C24×C4714yes—
1348C22×C4C24×C4718yes—
1349C22×C4C24×C4718yes—
1350C22×C4C24×C4714yes—
1351C22×C4C24×C4712yes—
1352C22×C4C24×C4711yescharacteristic
1353C22×C4C24×C4714yes—
1354C22×C4C24×C4714yes—
1355C22×C4C24×C4718yes—
1356C4⋊C4C24×C4714yes—
1357C4⋊C4C24×C4712yes—
1358C4⋊C4C24×C4714yes—
1359C4⋊C4C24×C4712yes—
1360C4⋊C4C24×C4712yes—
1361C4⋊C4C24×C4718yes—
1362C4⋊C4C24×C4718yes—
1363C4⋊C4C24×C4714yes—
1364C4⋊C4C24×C4714yes—
1365C4⋊C4C24×C4714yes—
1366C4⋊C4C24×C4714yes—
1367C4⋊C4C24×C4714yes—
1368C4⋊C4C24×C4712yes—
1369C4⋊C4C24×C4718yes—
1370C4⋊C4C24×C4712yes—
1371C4⋊C4C24×C4712yes—
1372C4⋊C4C24×C4714yes—
1373C4⋊C4C24×C4718yes—
1374C4⋊C4C24×C4714yes—
1375C4⋊C4C24×C4718yes—
1376C4⋊C4C24×C4714yes—
1377C4⋊C4C24×C4714yes—
1378C22⋊C4C24×C4714yes—
1379C22⋊C4C24×C4718yes—
1380C22⋊C4C24×C4714yes—
1381C22⋊C4C24×C4714yes—
1382C22⋊C4C24×C4714yes—
1383C22⋊C4C24×C4718yes—
1384C22⋊C4C24×C4718yes—
1385C22⋊C4C24×C4718yes—
1386C22⋊C4C24×C4714yes—
1387C22⋊C4C24×C4714yes—
1388C22⋊C4C24×C4718yes—
1389C22⋊C4C24×C4718yes—
1390C22⋊C4C24×C4714yes—
1391C22⋊C4C24×C4714yes—
1392C22⋊C4C24×C4718yes—
1393C22⋊C4C24×C4718yes—
1394C22⋊C4C24×C4718yes—
1395C22⋊C4C24×C4718yes—
1396C22⋊C4C24×C4718yes—
1397C22⋊C4C24×C4718yes—
1398C22⋊C4C24×C4718yes—
1399C22⋊C4C24×C4714yes—
1400C22⋊C4C24×C4714yes—
1401C22⋊C4C24×C4718yes—
1402C22⋊C4C24×C4718yes—
1403C22⋊C4C24×C4718yes—
1404C22⋊C4C24×C4718yes—
1405C22⋊C4C24×C4718yes—
1406C22⋊C4C24×C4714yes—
1407C22⋊C4C24×C4714yes—
1408C22⋊C4C24×C4714yes—
1409C22⋊C4C24×C4714yes—
1410C42C24×C4714yes—
1411C42C24×C4712yes—
1412C42C24×C4714yes—
1413C42C24×C4712yes—
1414C42C24×C4718yes—
1415C42C24×C4718yes—
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)×C4714yescomplemented
1451C23C25×C4714yes—
1452C23C25×C4714yes—
1453C23C25×C4718yes—
1454C23C25×C4712yes—
1455C23C25×C4712yes—
1456C23C25×C4712yes—
1457C23C25×C4712yes—
1458C23C25×C4711yescharacteristic
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)×C4714yescomplemented
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×C4714yes—
1527C2×C4C25×C4712yes—
1528C2×C4C25×C4714yes—
1529C2×C4C25×C4712yes—
1530C2×C4C25×C4711yescharacteristic
1531C2×C4C25×C4714yes—
1532C2×C4C25×C4714yes—
1533C2×C4C25×C4718yes—
1534C2×C4C25×C4714yes—
1535C2×C4C25×C4712yes—
1536C2×C4C25×C4712yes—
1537C2×C4C25×C4711yescharacteristic
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)×C4714yes—
1571C22C2×H(5,𝔽2)×C4714yes—
1572C22C2×H(5,𝔽2)×C4712yes—
1573C22C26×C4711yescharacteristic
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)×C4712yes—
1586C2—24no—
1587C2—24no—
1588C2—22no—
1589C2—44no—
1590C2—44no—
1591C2—42no—
1592C2—48no—
1593C2—42no—
1594C2C22×H(5,𝔽2)×C4711yescharacteristic
1595C2C22×H(5,𝔽2)×C4711yescharacteristic
1596C2C47×H(7,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C47C26
commutator, Frattini, cosocleC22C26×C47
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C47 ◁ G

Complements

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

NH ≅ G/Ntype
1. C47×#3558C2semidirect
2. C47×#3543C2semidirect
3. C47×#3542C2semidirect
4. C47×#3537C2semidirect
5. C47×#3537C2semidirect
6. C47×#3534C2semidirect
7. C47×#3534C2semidirect
8. C47×#3532C2semidirect
9. C47×#3519C2semidirect
10. C47×#3513C2semidirect
11. C47×#3505C2semidirect
12. C47×#3496C2semidirect
13. C47×#3490C2semidirect
14. C47×#3488C2semidirect
15. C47×#3484C2semidirect
16. C47×#3484C2semidirect
17. C2×C47×#546C2semidirect
18. C2×D42×C47C2semidirect
19. C47×#3459C2semidirect
20. C2×C47×#534C2semidirect
21. C2×H(5,𝔽2)×C47C22semidirect
22. C2×H(5,𝔽2)×C47C22semidirect
23. C22×#41×C47C22semidirect
24. C23×D4×C47C22semidirect
25. C23×D4×C47C22semidirect
26. C23×D4×C47C22semidirect
27. C47×#562C22semidirect
28. C47×#562C22semidirect
29. C47×H(3,𝔽4)C22semidirect
30. C47×#560C22semidirect
31. C47×#560C22semidirect
32. C47×#560C22semidirect
33. C47×#560C22semidirect
34. C47×#559C22semidirect
35. C47×#555C22semidirect
36. C47×#554C22semidirect
37. C47×#553C22semidirect
38. C47×#553C22semidirect
39. C47×#553C22semidirect
40. C47×#553C22semidirect
41. C47×#553C22semidirect
42. C47×#552C22semidirect
43. C47×#551C22semidirect
44. C47×#551C22semidirect
45. C47×#551C22semidirect
46. C47×#551C22semidirect
47. C47×#550C22semidirect
48. C47×#550C22semidirect
49. C47×#548C22semidirect
50. C47×#547C22semidirect
51. C47×#546C22semidirect
52. C47×#546C22semidirect
53. C47×#546C22semidirect
54. C47×#546C22semidirect
55. C47×#546C22semidirect
56. C47×#546C22semidirect
57. C47×#546C22semidirect
58. C47×#546C22semidirect
59. C47×#546C22semidirect
60. C47×#546C22semidirect
61. C47×#546C22semidirect
62. C47×#546C22semidirect
63. C47×#546C22semidirect
64. C47×#546C22semidirect
65. C47×#546C22semidirect
66. C47×#546C22semidirect
67. D42×C47C22semidirect
68. D42×C47C22semidirect
69. D42×C47C22semidirect
70. D42×C47C22semidirect
71. D42×C47C22semidirect
72. D42×C47C22semidirect
73. D42×C47C22semidirect
74. D42×C47C22semidirect
75. D42×C47C22semidirect
76. D42×C47C22semidirect
77. D42×C47C22semidirect
78. D42×C47C22semidirect
79. D42×C47C22semidirect
80. D42×C47C22semidirect
81. C47×#543C22semidirect
82. C47×#542C22semidirect
83. C47×#540C22semidirect
84. C47×#540C22semidirect
85. C47×#540C22semidirect
86. C47×#540C22semidirect
87. C47×#539C22semidirect
88. C47×#539C22semidirect
89. C47×#539C22semidirect
90. C47×#539C22semidirect
91. C47×#538C22semidirect
92. C47×#538C22semidirect
93. C47×#538C22semidirect
94. C47×#538C22semidirect
95. C47×#538C22semidirect
96. C47×#538C22semidirect
97. C47×#538C22semidirect
98. C47×#538C22semidirect
99. C47×#538C22semidirect
100. C47×#538C22semidirect
101. C47×#537C22semidirect
102. C47×#537C22semidirect
103. C47×#537C22semidirect
104. C47×#535C22semidirect
105. C47×#535C22semidirect
106. C47×#535C22semidirect
107. C47×#535C22semidirect
108. C47×#535C22semidirect
109. C47×#535C22semidirect
110. C47×#534C22semidirect
111. C47×#534C22semidirect
112. C47×#534C22semidirect
113. C47×#534C22semidirect
114. C47×#534C22semidirect
115. C47×#534C22semidirect
116. C47×#534C22semidirect
117. C47×#534C22semidirect
118. C47×#534C22semidirect
119. C47×#534C22semidirect
120. C47×#534C22semidirect
121. C47×#534C22semidirect
122. C47×#534C22semidirect
123. C47×#532C22semidirect
124. C2×#127×C47C22semidirect
125. C47×#529C22semidirect
126. C47×#529C22semidirect
127. C47×#529C22semidirect
128. C2×#124×C47C22semidirect
129. C47×#525C22semidirect
130. C47×#525C22semidirect
131. C47×#525C22semidirect
132. C47×#525C22semidirect
133. C47×#525C22semidirect
134. C47×#525C22semidirect
135. C2×#123×C47C22semidirect
136. C2×#123×C47C22semidirect
137. C2×C22⋊Q8×C47C22semidirect
138. C2×#121×C47C22semidirect
139. C2×#121×C47C22semidirect
140. C2×#121×C47C22semidirect
141. C2×#121×C47C22semidirect
142. C2×#121×C47C22semidirect
143. C2×#121×C47C22semidirect
144. C2×#121×C47C22semidirect
145. C2×#121×C47C22semidirect
146. C2×#120×C47C22semidirect
147. C2×#120×C47C22semidirect
148. C2×#120×C47C22semidirect
149. C2×#120×C47C22semidirect
150. C2×#120×C47C22semidirect
151. C47×#520C22semidirect
152. C47×#518C22semidirect
153. C47×#518C22semidirect
154. C2×C4×D4×C47C22semidirect
155. C2×C4×D4×C47C22semidirect
156. C2×C4×D4×C47C22semidirect
157. C2×C4×D4×C47C22semidirect
158. C22×C22⋊C4×C47C22semidirect
160. C25×C47C23semidirect
165. C2×#41×C47C23semidirect
166. C2×#41×C47C23semidirect
167. C2×#41×C47C23semidirect
168. C2×#41×C47C23semidirect
169. C2×#41×C47C23semidirect
170. C2×#41×C47C23semidirect
171. C2×#41×C47C23semidirect
172. C2×#41×C47C23semidirect
173. C22×Q8×C47C23semidirect
189. C22×D4×C47C23semidirect
190. C22×D4×C47C23semidirect
191. C22×D4×C47C23semidirect
192. C22×D4×C47C23semidirect
193. C22×D4×C47C23semidirect
194. C22×D4×C47C23semidirect
195. C22×D4×C47C23semidirect
196. C22×D4×C47C23semidirect
197. C22×D4×C47C23semidirect
198. C22×D4×C47C23semidirect
199. C22×D4×C47C23semidirect
200. C22×D4×C47C23semidirect
201. C22×D4×C47C23semidirect
202. C22×D4×C47C23semidirect
203. C22×D4×C47C23semidirect
204. C22×D4×C47C23semidirect
205. C22×D4×C47C23semidirect
206. C22×D4×C47C23semidirect
208. C23×C4×C47C23semidirect
209. C23×C4×C47C23semidirect
210. C23×C4×C47C23semidirect
211. C23×C4×C47C23semidirect
212. C23×C4×C47C23semidirect
213. C4⋊Q8×C47C23semidirect
215. #127×C47C23semidirect
216. #127×C47C23semidirect
217. #127×C47C23semidirect
218. #127×C47C23semidirect
219. #127×C47C23semidirect
220. #126×C47C23semidirect
221. #126×C47C23semidirect
222. #126×C47C23semidirect
223. #126×C47C23semidirect
224. #126×C47C23semidirect
225. #126×C47C23semidirect
226. #126×C47C23semidirect
227. #126×C47C23semidirect
228. #125×C47C23semidirect
229. #125×C47C23semidirect
230. #125×C47C23semidirect
231. #125×C47C23semidirect
232. #124×C47C23semidirect
233. #124×C47C23semidirect
234. #124×C47C23semidirect
235. #124×C47C23semidirect
236. #124×C47C23semidirect
237. #124×C47C23semidirect
238. #124×C47C23semidirect
239. #124×C47C23semidirect
240. #124×C47C23semidirect
241. #124×C47C23semidirect
242. #124×C47C23semidirect
245. #123×C47C23semidirect
246. #123×C47C23semidirect
247. #123×C47C23semidirect
248. #123×C47C23semidirect
249. #123×C47C23semidirect
250. #123×C47C23semidirect
251. #123×C47C23semidirect
252. #123×C47C23semidirect
253. #123×C47C23semidirect
254. #123×C47C23semidirect
255. #123×C47C23semidirect
256. #123×C47C23semidirect
257. #123×C47C23semidirect
258. #123×C47C23semidirect
259. #123×C47C23semidirect
260. #123×C47C23semidirect
261. #123×C47C23semidirect
262. #123×C47C23semidirect
263. #123×C47C23semidirect
264. #123×C47C23semidirect
265. #123×C47C23semidirect
266. #123×C47C23semidirect
267. #123×C47C23semidirect
268. C22⋊Q8×C47C23semidirect
269. C22⋊Q8×C47C23semidirect
270. C22⋊Q8×C47C23semidirect
271. C22⋊Q8×C47C23semidirect
272. C22⋊Q8×C47C23semidirect
273. C22⋊Q8×C47C23semidirect
274. C22⋊Q8×C47C23semidirect
275. C22⋊Q8×C47C23semidirect
276. C22⋊Q8×C47C23semidirect
277. C22⋊Q8×C47C23semidirect
278. C22⋊Q8×C47C23semidirect
279. C22⋊Q8×C47C23semidirect
280. C22⋊Q8×C47C23semidirect
281. C22⋊Q8×C47C23semidirect
282. C22⋊Q8×C47C23semidirect
291. #121×C47C23semidirect
292. #121×C47C23semidirect
293. #121×C47C23semidirect
294. #121×C47C23semidirect
295. #121×C47C23semidirect
296. #121×C47C23semidirect
297. #121×C47C23semidirect
298. #121×C47C23semidirect
299. #121×C47C23semidirect
300. #121×C47C23semidirect
301. #121×C47C23semidirect
302. #121×C47C23semidirect
303. #121×C47C23semidirect
304. #121×C47C23semidirect
305. #121×C47C23semidirect
306. #121×C47C23semidirect
307. #121×C47C23semidirect
308. #121×C47C23semidirect
309. #121×C47C23semidirect
310. #121×C47C23semidirect
311. #121×C47C23semidirect
312. #121×C47C23semidirect
313. #121×C47C23semidirect
314. #121×C47C23semidirect
315. #121×C47C23semidirect
316. #121×C47C23semidirect
317. #121×C47C23semidirect
318. #121×C47C23semidirect
319. #121×C47C23semidirect
320. #121×C47C23semidirect
321. #121×C47C23semidirect
322. #121×C47C23semidirect
323. #121×C47C23semidirect
324. #121×C47C23semidirect
325. #121×C47C23semidirect
326. #121×C47C23semidirect
327. #121×C47C23semidirect
328. #121×C47C23semidirect
329. #121×C47C23semidirect
330. #121×C47C23semidirect
331. #121×C47C23semidirect
332. #121×C47C23semidirect
338. #120×C47C23semidirect
339. #120×C47C23semidirect
340. #120×C47C23semidirect
341. #120×C47C23semidirect
342. #120×C47C23semidirect
343. #120×C47C23semidirect
344. #120×C47C23semidirect
345. #120×C47C23semidirect
346. #120×C47C23semidirect
347. #120×C47C23semidirect
348. #120×C47C23semidirect
349. #120×C47C23semidirect
350. #120×C47C23semidirect
351. #120×C47C23semidirect
352. #120×C47C23semidirect
353. #120×C47C23semidirect
354. #120×C47C23semidirect
355. #120×C47C23semidirect
356. #120×C47C23semidirect
357. #120×C47C23semidirect
358. #120×C47C23semidirect
359. #120×C47C23semidirect
360. C4×Q8×C47C23semidirect
361. C4×Q8×C47C23semidirect
366. C4×D4×C47C23semidirect
367. C4×D4×C47C23semidirect
368. C4×D4×C47C23semidirect
369. C4×D4×C47C23semidirect
370. C4×D4×C47C23semidirect
371. C4×D4×C47C23semidirect
372. C4×D4×C47C23semidirect
373. C4×D4×C47C23semidirect
374. C4×D4×C47C23semidirect
375. C4×D4×C47C23semidirect
376. C4×D4×C47C23semidirect
377. C4×D4×C47C23semidirect
378. C4×D4×C47C23semidirect
379. C4×D4×C47C23semidirect
380. C4×D4×C47C23semidirect
381. C4×D4×C47C23semidirect
382. C4×D4×C47C23semidirect
383. C4×D4×C47C23semidirect
384. C4×D4×C47C23semidirect
385. C4×D4×C47C23semidirect
386. C4×D4×C47C23semidirect
387. C4×D4×C47C23semidirect
388. C4×D4×C47C23semidirect
389. C4×D4×C47C23semidirect
390. #117×C47C23semidirect
391. #117×C47C23semidirect
392. #117×C47C23semidirect
393. #117×C47C23semidirect
394. #117×C47C23semidirect
395. #117×C47C23semidirect
396. #117×C47C23semidirect
397. C2×C4⋊C4×C47C23semidirect
398. C2×C4⋊C4×C47C23semidirect
399. C2×C4⋊C4×C47C23semidirect
400. C2×C4⋊C4×C47C23semidirect
401. C2×C4⋊C4×C47C23semidirect
402. C2×C4⋊C4×C47C23semidirect
403. C2×C4⋊C4×C47C23semidirect
404. C2×C4⋊C4×C47C23semidirect
408. C2×C22⋊C4×C47C23semidirect
409. C2×C22⋊C4×C47C23semidirect
410. C2×C22⋊C4×C47C23semidirect
411. C2×C22⋊C4×C47C23semidirect
412. C2×C22⋊C4×C47C23semidirect
413. C2×C22⋊C4×C47C23semidirect
414. C2×C22⋊C4×C47C23semidirect
415. C2×C22⋊C4×C47C23semidirect
416. C2×C22⋊C4×C47C23semidirect
417. C2×C22⋊C4×C47C23semidirect
418. C2×C22⋊C4×C47C23semidirect
419. C2×C22⋊C4×C47C23semidirect
420. C2×C22⋊C4×C47C23semidirect
421. C2×C22⋊C4×C47C23semidirect
422. C2×C22⋊C4×C47C23semidirect
423. C2×C22⋊C4×C47C23semidirect
424. C2×C22⋊C4×C47C23semidirect
425. C2×C42×C47C23semidirect
426. C2×C42×C47C23semidirect
651. C23×C47H(5,𝔽2)semidirect
699. D4×C47H(5,𝔽2)semidirect
739. #62892C47direct (N × H)
788. #3558C2×C47semidirect
789. #3543C2×C47semidirect
790. #3542C2×C47semidirect
791. #3537C2×C47semidirect
792. #3537C2×C47semidirect
793. #3534C2×C47semidirect
794. #3534C2×C47semidirect
795. #3532C2×C47semidirect
796. #3519C2×C47semidirect
797. #3513C2×C47semidirect
798. #3505C2×C47semidirect
799. #3496C2×C47semidirect
800. #3490C2×C47semidirect
801. #3488C2×C47semidirect
802. #3484C2×C47semidirect
803. #3484C2×C47semidirect
804. C2×#546C2×C47semidirect
805. C2×D42C2×C47semidirect
806. #3459C2×C47semidirect
807. C2×#534C2×C47semidirect
819. C2×H(5,𝔽2)C22×C47semidirect
820. C2×H(5,𝔽2)C22×C47semidirect
821. C22×#41C22×C47semidirect
822. C23×D4C22×C47semidirect
823. C23×D4C22×C47semidirect
824. C23×D4C22×C47semidirect
825. #562C22×C47semidirect
826. #562C22×C47semidirect
827. H(3,𝔽4)C22×C47semidirect
828. #560C22×C47semidirect
829. #560C22×C47semidirect
830. #560C22×C47semidirect
831. #560C22×C47semidirect
832. #559C22×C47semidirect
833. #555C22×C47semidirect
834. #554C22×C47semidirect
835. #553C22×C47semidirect
836. #553C22×C47semidirect
837. #553C22×C47semidirect
838. #553C22×C47semidirect
839. #553C22×C47semidirect
840. #552C22×C47semidirect
841. #551C22×C47semidirect
842. #551C22×C47semidirect
843. #551C22×C47semidirect
844. #551C22×C47semidirect
845. #550C22×C47semidirect
846. #550C22×C47semidirect
847. #548C22×C47semidirect
848. #547C22×C47semidirect
849. #546C22×C47semidirect
850. #546C22×C47semidirect
851. #546C22×C47semidirect
852. #546C22×C47semidirect
853. #546C22×C47semidirect
854. #546C22×C47semidirect
855. #546C22×C47semidirect
856. #546C22×C47semidirect
857. #546C22×C47semidirect
858. #546C22×C47semidirect
859. #546C22×C47semidirect
860. #546C22×C47semidirect
861. #546C22×C47semidirect
862. #546C22×C47semidirect
863. #546C22×C47semidirect
864. #546C22×C47semidirect
865. D42C22×C47semidirect
866. D42C22×C47semidirect
867. D42C22×C47semidirect
868. D42C22×C47semidirect
869. D42C22×C47semidirect
870. D42C22×C47semidirect
871. D42C22×C47semidirect
872. D42C22×C47semidirect
873. D42C22×C47semidirect
874. D42C22×C47semidirect
875. D42C22×C47semidirect
876. D42C22×C47semidirect
877. D42C22×C47semidirect
878. D42C22×C47semidirect
879. #543C22×C47semidirect
880. #542C22×C47semidirect
881. #540C22×C47semidirect
882. #540C22×C47semidirect
883. #540C22×C47semidirect
884. #540C22×C47semidirect
885. #539C22×C47semidirect
886. #539C22×C47semidirect
887. #539C22×C47semidirect
888. #539C22×C47semidirect
889. #538C22×C47semidirect
890. #538C22×C47semidirect
891. #538C22×C47semidirect
892. #538C22×C47semidirect
893. #538C22×C47semidirect
894. #538C22×C47semidirect
895. #538C22×C47semidirect
896. #538C22×C47semidirect
897. #538C22×C47semidirect
898. #538C22×C47semidirect
899. #537C22×C47semidirect
900. #537C22×C47semidirect
901. #537C22×C47semidirect
902. #535C22×C47semidirect
903. #535C22×C47semidirect
904. #535C22×C47semidirect
905. #535C22×C47semidirect
906. #535C22×C47semidirect
907. #535C22×C47semidirect
908. #534C22×C47semidirect
909. #534C22×C47semidirect
910. #534C22×C47semidirect
911. #534C22×C47semidirect
912. #534C22×C47semidirect
913. #534C22×C47semidirect
914. #534C22×C47semidirect
915. #534C22×C47semidirect
916. #534C22×C47semidirect
917. #534C22×C47semidirect
918. #534C22×C47semidirect
919. #534C22×C47semidirect
920. #534C22×C47semidirect
921. #532C22×C47semidirect
922. C2×#127C22×C47semidirect
923. #529C22×C47semidirect
924. #529C22×C47semidirect
925. #529C22×C47semidirect
926. C2×#124C22×C47semidirect
927. #525C22×C47semidirect
928. #525C22×C47semidirect
929. #525C22×C47semidirect
930. #525C22×C47semidirect
931. #525C22×C47semidirect
932. #525C22×C47semidirect
933. C2×#123C22×C47semidirect
934. C2×#123C22×C47semidirect
935. C2×C22⋊Q8C22×C47semidirect
936. C2×#121C22×C47semidirect
937. C2×#121C22×C47semidirect
938. C2×#121C22×C47semidirect
939. C2×#121C22×C47semidirect
940. C2×#121C22×C47semidirect
941. C2×#121C22×C47semidirect
942. C2×#121C22×C47semidirect
943. C2×#121C22×C47semidirect
944. C2×#120C22×C47semidirect
945. C2×#120C22×C47semidirect
946. C2×#120C22×C47semidirect
947. C2×#120C22×C47semidirect
948. C2×#120C22×C47semidirect
949. #520C22×C47semidirect
950. #518C22×C47semidirect
951. #518C22×C47semidirect
952. C2×C4×D4C22×C47semidirect
953. C2×C4×D4C22×C47semidirect
954. C2×C4×D4C22×C47semidirect
955. C2×C4×D4C22×C47semidirect
956. C22×C22⋊C4C22×C47semidirect
957. C47#62892direct (N × H)
959. C25C23×C47semidirect
964. C2×#41C23×C47semidirect
965. C2×#41C23×C47semidirect
966. C2×#41C23×C47semidirect
967. C2×#41C23×C47semidirect
968. C2×#41C23×C47semidirect
969. C2×#41C23×C47semidirect
970. C2×#41C23×C47semidirect
971. C2×#41C23×C47semidirect
972. C22×Q8C23×C47semidirect
988. C22×D4C23×C47semidirect
989. C22×D4C23×C47semidirect
990. C22×D4C23×C47semidirect
991. C22×D4C23×C47semidirect
992. C22×D4C23×C47semidirect
993. C22×D4C23×C47semidirect
994. C22×D4C23×C47semidirect
995. C22×D4C23×C47semidirect
996. C22×D4C23×C47semidirect
997. C22×D4C23×C47semidirect
998. C22×D4C23×C47semidirect
999. C22×D4C23×C47semidirect
1000. C22×D4C23×C47semidirect
1001. C22×D4C23×C47semidirect
1002. C22×D4C23×C47semidirect
1003. C22×D4C23×C47semidirect
1004. C22×D4C23×C47semidirect
1005. C22×D4C23×C47semidirect
1007. C23×C4C23×C47semidirect
1008. C23×C4C23×C47semidirect
1009. C23×C4C23×C47semidirect
1010. C23×C4C23×C47semidirect
1011. C23×C4C23×C47semidirect
1012. C4⋊Q8C23×C47semidirect
1014. #127C23×C47semidirect
1015. #127C23×C47semidirect
1016. #127C23×C47semidirect
1017. #127C23×C47semidirect
1018. #127C23×C47semidirect
1019. #126C23×C47semidirect
1020. #126C23×C47semidirect
1021. #126C23×C47semidirect
1022. #126C23×C47semidirect
1023. #126C23×C47semidirect
1024. #126C23×C47semidirect
1025. #126C23×C47semidirect
1026. #126C23×C47semidirect
1027. #125C23×C47semidirect
1028. #125C23×C47semidirect
1029. #125C23×C47semidirect
1030. #125C23×C47semidirect
1031. #124C23×C47semidirect
1032. #124C23×C47semidirect
1033. #124C23×C47semidirect
1034. #124C23×C47semidirect
1035. #124C23×C47semidirect
1036. #124C23×C47semidirect
1037. #124C23×C47semidirect
1038. #124C23×C47semidirect
1039. #124C23×C47semidirect
1040. #124C23×C47semidirect
1041. #124C23×C47semidirect
1044. #123C23×C47semidirect
1045. #123C23×C47semidirect
1046. #123C23×C47semidirect
1047. #123C23×C47semidirect
1048. #123C23×C47semidirect
1049. #123C23×C47semidirect
1050. #123C23×C47semidirect
1051. #123C23×C47semidirect
1052. #123C23×C47semidirect
1053. #123C23×C47semidirect
1054. #123C23×C47semidirect
1055. #123C23×C47semidirect
1056. #123C23×C47semidirect
1057. #123C23×C47semidirect
1058. #123C23×C47semidirect
1059. #123C23×C47semidirect
1060. #123C23×C47semidirect
1061. #123C23×C47semidirect
1062. #123C23×C47semidirect
1063. #123C23×C47semidirect
1064. #123C23×C47semidirect
1065. #123C23×C47semidirect
1066. #123C23×C47semidirect
1067. C22⋊Q8C23×C47semidirect
1068. C22⋊Q8C23×C47semidirect
1069. C22⋊Q8C23×C47semidirect
1070. C22⋊Q8C23×C47semidirect
1071. C22⋊Q8C23×C47semidirect
1072. C22⋊Q8C23×C47semidirect
1073. C22⋊Q8C23×C47semidirect
1074. C22⋊Q8C23×C47semidirect
1075. C22⋊Q8C23×C47semidirect
1076. C22⋊Q8C23×C47semidirect
1077. C22⋊Q8C23×C47semidirect
1078. C22⋊Q8C23×C47semidirect
1079. C22⋊Q8C23×C47semidirect
1080. C22⋊Q8C23×C47semidirect
1081. C22⋊Q8C23×C47semidirect
1090. #121C23×C47semidirect
1091. #121C23×C47semidirect
1092. #121C23×C47semidirect
1093. #121C23×C47semidirect
1094. #121C23×C47semidirect
1095. #121C23×C47semidirect
1096. #121C23×C47semidirect
1097. #121C23×C47semidirect
1098. #121C23×C47semidirect
1099. #121C23×C47semidirect
1100. #121C23×C47semidirect
1101. #121C23×C47semidirect
1102. #121C23×C47semidirect
1103. #121C23×C47semidirect
1104. #121C23×C47semidirect
1105. #121C23×C47semidirect
1106. #121C23×C47semidirect
1107. #121C23×C47semidirect
1108. #121C23×C47semidirect
1109. #121C23×C47semidirect
1110. #121C23×C47semidirect
1111. #121C23×C47semidirect
1112. #121C23×C47semidirect
1113. #121C23×C47semidirect
1114. #121C23×C47semidirect
1115. #121C23×C47semidirect
1116. #121C23×C47semidirect
1117. #121C23×C47semidirect
1118. #121C23×C47semidirect
1119. #121C23×C47semidirect
1120. #121C23×C47semidirect
1121. #121C23×C47semidirect
1122. #121C23×C47semidirect
1123. #121C23×C47semidirect
1124. #121C23×C47semidirect
1125. #121C23×C47semidirect
1126. #121C23×C47semidirect
1127. #121C23×C47semidirect
1128. #121C23×C47semidirect
1129. #121C23×C47semidirect
1130. #121C23×C47semidirect
1131. #121C23×C47semidirect
1137. #120C23×C47semidirect
1138. #120C23×C47semidirect
1139. #120C23×C47semidirect
1140. #120C23×C47semidirect
1141. #120C23×C47semidirect
1142. #120C23×C47semidirect
1143. #120C23×C47semidirect
1144. #120C23×C47semidirect
1145. #120C23×C47semidirect
1146. #120C23×C47semidirect
1147. #120C23×C47semidirect
1148. #120C23×C47semidirect
1149. #120C23×C47semidirect
1150. #120C23×C47semidirect
1151. #120C23×C47semidirect
1152. #120C23×C47semidirect
1153. #120C23×C47semidirect
1154. #120C23×C47semidirect
1155. #120C23×C47semidirect
1156. #120C23×C47semidirect
1157. #120C23×C47semidirect
1158. #120C23×C47semidirect
1159. C4×Q8C23×C47semidirect
1160. C4×Q8C23×C47semidirect
1165. C4×D4C23×C47semidirect
1166. C4×D4C23×C47semidirect
1167. C4×D4C23×C47semidirect
1168. C4×D4C23×C47semidirect
1169. C4×D4C23×C47semidirect
1170. C4×D4C23×C47semidirect
1171. C4×D4C23×C47semidirect
1172. C4×D4C23×C47semidirect
1173. C4×D4C23×C47semidirect
1174. C4×D4C23×C47semidirect
1175. C4×D4C23×C47semidirect
1176. C4×D4C23×C47semidirect
1177. C4×D4C23×C47semidirect
1178. C4×D4C23×C47semidirect
1179. C4×D4C23×C47semidirect
1180. C4×D4C23×C47semidirect
1181. C4×D4C23×C47semidirect
1182. C4×D4C23×C47semidirect
1183. C4×D4C23×C47semidirect
1184. C4×D4C23×C47semidirect
1185. C4×D4C23×C47semidirect
1186. C4×D4C23×C47semidirect
1187. C4×D4C23×C47semidirect
1188. C4×D4C23×C47semidirect
1189. #117C23×C47semidirect
1190. #117C23×C47semidirect
1191. #117C23×C47semidirect
1192. #117C23×C47semidirect
1193. #117C23×C47semidirect
1194. #117C23×C47semidirect
1195. #117C23×C47semidirect
1196. C2×C4⋊C4C23×C47semidirect
1197. C2×C4⋊C4C23×C47semidirect
1198. C2×C4⋊C4C23×C47semidirect
1199. C2×C4⋊C4C23×C47semidirect
1200. C2×C4⋊C4C23×C47semidirect
1201. C2×C4⋊C4C23×C47semidirect
1202. C2×C4⋊C4C23×C47semidirect
1203. C2×C4⋊C4C23×C47semidirect
1207. C2×C22⋊C4C23×C47semidirect
1208. C2×C22⋊C4C23×C47semidirect
1209. C2×C22⋊C4C23×C47semidirect
1210. C2×C22⋊C4C23×C47semidirect
1211. C2×C22⋊C4C23×C47semidirect
1212. C2×C22⋊C4C23×C47semidirect
1213. C2×C22⋊C4C23×C47semidirect
1214. C2×C22⋊C4C23×C47semidirect
1215. C2×C22⋊C4C23×C47semidirect
1216. C2×C22⋊C4C23×C47semidirect
1217. C2×C22⋊C4C23×C47semidirect
1218. C2×C22⋊C4C23×C47semidirect
1219. C2×C22⋊C4C23×C47semidirect
1220. C2×C22⋊C4C23×C47semidirect
1221. C2×C22⋊C4C23×C47semidirect
1222. C2×C22⋊C4C23×C47semidirect
1223. C2×C22⋊C4C23×C47semidirect
1224. C2×C42C23×C47semidirect
1225. C2×C42C23×C47semidirect
1450. C23H(5,𝔽2)×C47semidirect
1498. D4H(5,𝔽2)×C47semidirect

Maximal subgroups

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

subgroupindex
C47×#35582
C47×#35432
C47×#35422
C47×#35372
C47×#35342
C47×#35322
C47×#35192
C47×#35132
C47×#35052
C47×#34962
C47×#34902
C47×#34882
C47×#34842
C2×C47×#5462
C2×D42×C472
C47×#34592
C2×C47×#5342
#6289247