Finite Group Databasebeta

← C47×#63012 #26102710

Subgroups — C47×#63012 #26102710

Order 12032.

8050 conjugacy classes of subgroups.

The subgroup lattice has 1514 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3558C214yesmaximal, complemented
2C47×#3546C212yesmaximal, complemented
3C47×#3543C211yesmaximal, characteristic, complemented
4C47×#3542C214yesmaximal, complemented
5C47×#3536C214yesmaximal, complemented
6C47×#3534C218yesmaximal, complemented
7C47×#3532C214yesmaximal, complemented
8C47×#3520C212yesmaximal, complemented
9C47×#3519C214yesmaximal, complemented
10C47×#3514C212yesmaximal, complemented
11C47×#3513C214yesmaximal, complemented
12C47×#3508C211yesmaximal, characteristic, complemented
13C47×#3496C212yesmaximal, complemented
14C47×#3490C214yesmaximal, complemented
15C47×#3488C214yesmaximal, complemented
16C47×#3484C214yesmaximal, complemented
17C47×#3481C212yesmaximal, complemented
18D4×#41×C47C212yesmaximal, complemented
19C2×C47×#546C214yesmaximal, complemented
20C2×D42×C47C211yesmaximal, characteristic, complemented
21C2×H(5,𝔽2)×C47C2214yescomplemented
22C22×#41×C47C2214yescomplemented
23C23×D4×C47C2214yescomplemented
24C47×#562C2218yescomplemented
25C47×#562C2218yescomplemented
26C47×H(3,𝔽4)C2214yescomplemented
27C47×#560C2214yescomplemented
28C47×#560C2218yescomplemented
29C47×#560C2214yescomplemented
30C47×#559C2212yescomplemented
31C47×#559C2211yescharacteristic, complemented
32C47×#559C2214yescomplemented
33C47×#556C2212yescomplemented
34C47×#555C2214yescomplemented
35C47×#554C2212yescomplemented
36C47×#554C2214yescomplemented
37C47×#554C2212yescomplemented
38C47×#553C2212yescomplemented
39C47×#553C2212yescomplemented
40C47×#553C2214yescomplemented
41C47×#553C2214yescomplemented
42C47×#553C2218yescomplemented
43C47×#552C2214yescomplemented
44C47×#551C2214yescomplemented
45C47×#551C2218yescomplemented
46C47×#551C2214yescomplemented
47C47×#551C2218yescomplemented
48C47×#551C2218yescomplemented
49C47×#551C2214yescomplemented
50C47×#550C2214yescomplemented
51C47×#550C2214yescomplemented
52C47×#550C2212yescomplemented
53D4×Q8×C47C2212yescomplemented
54C47×#548C2214yescomplemented
55C47×#548C2214yescomplemented
56C47×#548C2214yescomplemented
57C47×#547C2212yescomplemented
58C47×#547C2212yescomplemented
59C47×#547C2214yescomplemented
60C47×#547C2214yescomplemented
61C47×#546C2212yescomplemented
62C47×#546C2214yescomplemented
63C47×#546C2214yescomplemented
64C47×#546C2218yescomplemented
65C47×#546C2214yescomplemented
66C47×#546C2218yescomplemented
67C47×#546C2218yescomplemented
68C47×#546C2214yescomplemented
69C47×#546C2214yescomplemented
70C47×#546C2214yescomplemented
71C47×#546C2214yescomplemented
72C47×#546C2214yescomplemented
73C47×#546C2212yescomplemented
74C47×#546C2218yescomplemented
75C47×#546C2218yescomplemented
76C47×#546C2218yescomplemented
77C47×#546C2218yescomplemented
78C47×#546C2218yescomplemented
79C47×#546C2218yescomplemented
80C47×#546C2214yescomplemented
81C47×#546C2214yescomplemented
82C47×#546C2214yescomplemented
83C47×#546C2214yescomplemented
84C47×#546C2218yescomplemented
85D42×C47C2214yescomplemented
86D42×C47C2211yescharacteristic, complemented
87D42×C47C2211yescharacteristic, complemented
88D42×C47C2214yescomplemented
89D42×C47C2212yescomplemented
90D42×C47C2214yescomplemented
91D42×C47C2212yescomplemented
92D42×C47C2214yescomplemented
93D42×C47C2218yescomplemented
94D42×C47C2214yescomplemented
95D42×C47C2218yescomplemented
96D42×C47C2214yescomplemented
97D42×C47C2214yescomplemented
98D42×C47C2211yescharacteristic, complemented
99C47×#543C2214yescomplemented
100C47×#542C2214yescomplemented
101C47×#542C2214yescomplemented
102C47×#542C2214yescomplemented
103C47×#540C2218yescomplemented
104C47×#540C2214yescomplemented
105C47×#540C2214yescomplemented
106C47×#539C2218yescomplemented
107C47×#539C2218yescomplemented
108C47×#538C2218yescomplemented
109C47×#538C2218yescomplemented
110C47×#538C2218yescomplemented
111C47×#538C2218yescomplemented
112C47×#538C2218yescomplemented
113C47×#538C2218yescomplemented
114C47×#537C2214yescomplemented
115C47×#537C2214yescomplemented
116C47×#537C2218yescomplemented
117C47×#535C2212yescomplemented
118C47×#535C2218yescomplemented
119C47×#535C2214yescomplemented
120C47×#535C2214yescomplemented
121C47×#535C2214yescomplemented
122C47×#534C2214yescomplemented
123C47×#534C2218yescomplemented
124C47×#534C2218yescomplemented
125C47×#534C2218yescomplemented
126C47×#533C2211yescharacteristic, complemented
127C47×#532C2212yescomplemented
128C47×#532C2214yescomplemented
129C47×#532C2212yescomplemented
130C47×#532C2212yescomplemented
131C2×#127×C47C2211yescharacteristic, complemented
132C47×#529C2212yescomplemented
133C47×#529C2214yescomplemented
134C47×#529C2212yescomplemented
135C47×#529C2214yescomplemented
136C2×#124×C47C2214yescomplemented
137C47×#525C2214yescomplemented
138C47×#525C2214yescomplemented
139C47×#525C2214yescomplemented
140C47×#525C2218yescomplemented
141C47×#525C2218yescomplemented
142C47×#525C2214yescomplemented
143C2×#123×C47C2218yescomplemented
144C2×C22⋊Q8×C47C2214yescomplemented
145C2×#121×C47C2214yescomplemented
146C2×#121×C47C2214yescomplemented
147C2×#121×C47C2218yescomplemented
148C2×#121×C47C2214yescomplemented
149C2×#120×C47C2214yescomplemented
150C2×#120×C47C2218yescomplemented
151C2×#120×C47C2214yescomplemented
152C47×#520C2214yescomplemented
153C47×#518C2212yescomplemented
154C47×#518C2214yescomplemented
155C47×#518C2214yescomplemented
156C4×#41×C47C2211yescharacteristic, complemented
157C4×#41×C47C2212yescomplemented
158C2×C4×D4×C47C2212yescomplemented
159C2×C4×D4×C47C2214yescomplemented
160C2×C4×D4×C47C2214yescomplemented
161C2×C4×D4×C47C2212yescomplemented
162C22×C22⋊C4×C47C2214yescomplemented
163C25×C47C2314yes—
164H(5,𝔽2)×C47—416no—
165C2×#41×C47—416no—
166C2×#41×C47C2312yes—
167C2×#41×C47C2314yes—
168C2×#41×C47C2311yescharacteristic
169C2×#41×C47C2314yescomplemented
170C2×#41×C47C2318yescomplemented
171C2×#41×C47C2314yescomplemented
172C2×#41×C47C2314yescomplemented
173C2×#41×C47C2318yescomplemented
174C2×#41×C47C2314yescomplemented
175C2×#41×C47C2318yescomplemented
176C2×#41×C47C2314yescomplemented
177C22×Q8×C47C2314yescomplemented
178C22×D4×C47—416no—
179C22×D4×C47C2314yes—
180C22×D4×C47C2312yes—
181C22×D4×C47C2312yes—
182C22×D4×C47C2314yes—
183C22×D4×C47C2314yes—
184C22×D4×C47C2312yes—
185C22×D4×C47C2314yes—
186C22×D4×C47C2318yes—
187C22×D4×C47C2318yes—
188C22×D4×C47C2314yes—
189C22×D4×C47C2314yes—
190C22×D4×C47C2318yes—
191C22×D4×C47C2314yes—
192C22×D4×C47C2318yescomplemented
193C22×D4×C47C2318yescomplemented
194C22×D4×C47C2318yescomplemented
195C22×D4×C47C2318yescomplemented
196C22×D4×C47C2314yescomplemented
197C23×C4×C47C2314yes—
198C23×C4×C47C2318yescomplemented
199C23×C4×C47C2314yescomplemented
200C4⋊Q8×C47C2312yescomplemented
201C4⋊Q8×C47C2312yescomplemented
202C4⋊Q8×C47C2314yescomplemented
203#127×C47C2311yescharacteristic
204#127×C47C2311yescharacteristic
205#127×C47C2314yes—
206#127×C47C2312yes—
207#127×C47C2312yes—
208#127×C47C2314yescomplemented
209#127×C47C2314yescomplemented
210#127×C47C2318yescomplemented
211#126×C47C2318yescomplemented
212#126×C47C2314yescomplemented
213#126×C47C2314yescomplemented
214#126×C47C2314yescomplemented
215#126×C47C2314yescomplemented
216#126×C47C2318yescomplemented
217#126×C47C2318yescomplemented
218#126×C47C2318yescomplemented
219#125×C47C2312yescomplemented
220#125×C47C2314yescomplemented
221#125×C47C2312yescomplemented
222#125×C47C2312yescomplemented
223#125×C47C2318yescomplemented
224#124×C47C2312yes—
225#124×C47C2314yes—
226#124×C47C2314yescomplemented
227#124×C47C2314yescomplemented
228#124×C47C2318yescomplemented
229#124×C47C2318yescomplemented
230#124×C47C2312yescomplemented
231#124×C47C2314yescomplemented
232#124×C47C2314yescomplemented
233#124×C47C2314yescomplemented
234#124×C47C2318yescomplemented
235#124×C47C2318yescomplemented
236#124×C47C2314yescomplemented
237#124×C47C2318yescomplemented
238#124×C47C2318yescomplemented
239#123×C47C2314yes—
240#123×C47C2318yes—
241#123×C47C2314yes—
242#123×C47C2318yescomplemented
243#123×C47C2318yescomplemented
244#123×C47C2318yescomplemented
245#123×C47C2318yescomplemented
246#123×C47C2318yescomplemented
247#123×C47C2318yescomplemented
248#123×C47C2314yescomplemented
249#123×C47C2318yescomplemented
250#123×C47C2314yescomplemented
251#123×C47C2314yescomplemented
252#123×C47C2318yescomplemented
253#123×C47C2318yescomplemented
254#123×C47C2314yescomplemented
255#123×C47C2318yescomplemented
256#123×C47C2314yescomplemented
257#123×C47C2314yescomplemented
258#123×C47C2318yescomplemented
259#123×C47C2314yescomplemented
260#123×C47C2318yescomplemented
261#123×C47C2318yescomplemented
262#123×C47C2318yescomplemented
263#123×C47C2314yescomplemented
264C22⋊Q8×C47C2312yes—
265C22⋊Q8×C47C2314yes—
266C22⋊Q8×C47C2318yes—
267C22⋊Q8×C47C2314yes—
268C22⋊Q8×C47C2314yescomplemented
269C22⋊Q8×C47C2314yescomplemented
270C22⋊Q8×C47C2318yescomplemented
271C22⋊Q8×C47C2314yescomplemented
272C22⋊Q8×C47C2314yescomplemented
273C22⋊Q8×C47C2318yescomplemented
274C22⋊Q8×C47C2314yescomplemented
275C22⋊Q8×C47C2314yescomplemented
276C22⋊Q8×C47C2318yescomplemented
277C22⋊Q8×C47C2318yescomplemented
278C22⋊Q8×C47C2314yescomplemented
279C22⋊Q8×C47C2312yescomplemented
280C22⋊Q8×C47C2314yescomplemented
281C22⋊Q8×C47C2318yescomplemented
282C22⋊Q8×C47C2318yescomplemented
283C22⋊Q8×C47C2318yescomplemented
284#121×C47C2314yes—
285#121×C47C2314yes—
286#121×C47C2312yes—
287#121×C47C2314yes—
288#121×C47C2318yes—
289#121×C47C2314yes—
290#121×C47C2318yes—
291#121×C47C2314yes—
292#121×C47C2314yes—
293#121×C47C2318yes—
294#121×C47C2312yes—
295#121×C47C2314yes—
296#121×C47C2314yes—
297#121×C47C2312yes—
298#121×C47C2318yescomplemented
299#121×C47C2314yescomplemented
300#121×C47C2312yescomplemented
301#121×C47C2314yescomplemented
302#121×C47C2318yescomplemented
303#121×C47C2318yescomplemented
304#121×C47C2318yescomplemented
305#121×C47C2318yescomplemented
306#121×C47C2318yescomplemented
307#121×C47C2314yescomplemented
308#121×C47C2318yescomplemented
309#121×C47C2318yescomplemented
310#121×C47C2318yescomplemented
311#121×C47C2318yescomplemented
312#121×C47C2318yescomplemented
313#121×C47C2318yescomplemented
314#121×C47C2314yescomplemented
315#121×C47C2314yescomplemented
316#121×C47C2314yescomplemented
317#121×C47C2314yescomplemented
318#121×C47C2314yescomplemented
319#121×C47C2318yescomplemented
320#121×C47C2314yescomplemented
321#121×C47C2314yescomplemented
322#121×C47C2318yescomplemented
323#121×C47C2318yescomplemented
324#121×C47C2318yescomplemented
325#121×C47C2318yescomplemented
326#121×C47C2318yescomplemented
327#121×C47C2318yescomplemented
328#121×C47C2318yescomplemented
329#120×C47C2314yes—
330#120×C47C2318yes—
331#120×C47C2314yes—
332#120×C47C2314yes—
333#120×C47C2314yes—
334#120×C47C2318yes—
335#120×C47C2318yes—
336#120×C47C2318yes—
337#120×C47C2318yes—
338#120×C47C2314yes—
339#120×C47C2314yes—
340#120×C47C2314yes—
341#120×C47C2318yescomplemented
342#120×C47C2318yescomplemented
343#120×C47C2318yescomplemented
344#120×C47C2318yescomplemented
345#120×C47C2318yescomplemented
346#120×C47C2318yescomplemented
347#120×C47C2318yescomplemented
348#120×C47C2314yescomplemented
349#120×C47C2314yescomplemented
350#120×C47C2318yescomplemented
351#120×C47C2314yescomplemented
352#120×C47C2318yescomplemented
353C4×Q8×C47C2312yescomplemented
354C4×Q8×C47C2312yescomplemented
355C4×Q8×C47C2312yescomplemented
356C4×Q8×C47C2314yescomplemented
357C4×Q8×C47C2314yescomplemented
358C4×D4×C47C2312yes—
359C4×D4×C47C2312yes—
360C4×D4×C47C2312yes—
361C4×D4×C47C2314yes—
362C4×D4×C47C2314yes—
363C4×D4×C47C2312yes—
364C4×D4×C47C2314yes—
365C4×D4×C47C2314yes—
366C4×D4×C47C2312yes—
367C4×D4×C47C2314yes—
368C4×D4×C47C2314yes—
369C4×D4×C47C2312yes—
370C4×D4×C47C2312yes—
371C4×D4×C47C2312yes—
372C4×D4×C47C2318yes—
373C4×D4×C47C2314yescomplemented
374C4×D4×C47C2318yescomplemented
375C4×D4×C47C2314yescomplemented
376C4×D4×C47C2314yescomplemented
377C4×D4×C47C2312yescomplemented
378C4×D4×C47C2314yescomplemented
379C4×D4×C47C2314yescomplemented
380C4×D4×C47C2312yescomplemented
381C4×D4×C47C2314yescomplemented
382C4×D4×C47C2318yescomplemented
383C4×D4×C47C2314yescomplemented
384C4×D4×C47C2314yescomplemented
385C4×D4×C47C2314yescomplemented
386C4×D4×C47C2312yescomplemented
387C4×D4×C47C2314yescomplemented
388C4×D4×C47C2314yescomplemented
389C4×D4×C47C2318yescomplemented
390C4×D4×C47C2318yescomplemented
391C4×D4×C47C2318yescomplemented
392C4×D4×C47C2318yescomplemented
393C4×D4×C47C2318yescomplemented
394C4×D4×C47C2314yescomplemented
395C4×D4×C47C2314yescomplemented
396C4×D4×C47C2314yescomplemented
397C4×D4×C47C2318yescomplemented
398C4×D4×C47C2318yescomplemented
399#117×C47C2311yescharacteristic
400#117×C47C2312yes—
401#117×C47C2314yescomplemented
402#117×C47C2312yescomplemented
403#117×C47C2312yescomplemented
404#117×C47C2314yescomplemented
405#117×C47C2314yescomplemented
406#117×C47C2318yescomplemented
407#117×C47C2314yescomplemented
408#117×C47C2318yescomplemented
409C2×C4⋊C4×C47C2312yes—
410C2×C4⋊C4×C47C2314yescomplemented
411C2×C4⋊C4×C47C2314yescomplemented
412C2×C4⋊C4×C47C2312yescomplemented
413C2×C4⋊C4×C47C2318yescomplemented
414C2×C4⋊C4×C47C2314yescomplemented
415C2×C22⋊C4×C47C2314yes—
416C2×C22⋊C4×C47C2314yes—
417C2×C22⋊C4×C47C2318yes—
418C2×C22⋊C4×C47C2314yes—
419C2×C22⋊C4×C47C2314yes—
420C2×C22⋊C4×C47C2314yes—
421C2×C22⋊C4×C47C2314yes—
422C2×C22⋊C4×C47C2318yescomplemented
423C2×C22⋊C4×C47C2318yescomplemented
424C2×C22⋊C4×C47C2318yescomplemented
425C2×C22⋊C4×C47C2318yescomplemented
426C2×C22⋊C4×C47C2314yescomplemented
427C2×C22⋊C4×C47C2314yescomplemented
428C2×C22⋊C4×C47C2318yescomplemented
429C2×C22⋊C4×C47C2318yescomplemented
430C2×C22⋊C4×C47C2318yescomplemented
431C2×C42×C47C2311yescharacteristic
432C2×C42×C47C2314yescomplemented
433C2×C42×C47C2312yescomplemented
434C24×C47—416no—
435C24×C47—48no—
436C24×C47C2414yes—
437C24×C47C2414yes—
438C24×C47C2414yes—
439C24×C47C2418yes—
440C24×C47C2414yes—
441C24×C47C2414yes—
442C24×C47C2414yes—
443#41×C47—28no—
444#41×C47—216no—
445#41×C47—48no—
446#41×C47—416no—
447#41×C47—416no—
448#41×C47—42no—
449#41×C47—416no—
450#41×C47—48no—
451#41×C47—48no—
452#41×C47—48no—
453#41×C47—48no—
454C2×Q8×C47—48no—
455C2×Q8×C47C2412yes—
456C2×Q8×C47C2414yes—
457C2×Q8×C47C2411yescharacteristic
458C2×Q8×C47C2414yes—
459C2×Q8×C47C2418yes—
460C2×D4×C47—28no—
461C2×D4×C47—216no—
462C2×D4×C47—216no—
463C2×D4×C47—28no—
464C2×D4×C47—48no—
465C2×D4×C47—48no—
466C2×D4×C47—48no—
467C2×D4×C47—48no—
468C2×D4×C47—44no—
469C2×D4×C47—416no—
470C2×D4×C47—416no—
471C2×D4×C47—416no—
472C2×D4×C47—416no—
473C2×D4×C47—48no—
474C2×D4×C47—48no—
475C2×D4×C47—416no—
476C2×D4×C47—416no—
477C2×D4×C47—416no—
478C2×D4×C47C2412yes—
479C2×D4×C47C2414yes—
480C2×D4×C47C2414yes—
481C2×D4×C47C2412yes—
482C2×D4×C47C2418yes—
483C2×D4×C47C2418yes—
484C2×D4×C47C2414yes—
485C2×D4×C47C2414yes—
486C2×D4×C47C2418yes—
487C2×D4×C47C2414yes—
488C2×D4×C47C2414yes—
489C2×D4×C47C2412yes—
490C2×D4×C47C2412yes—
491C2×D4×C47C2414yes—
492C2×D4×C47C2412yes—
493C2×D4×C47C2414yes—
494C2×D4×C47C2414yes—
495C2×D4×C47C2418yes—
496C2×D4×C47C2411yescharacteristic
497C2×D4×C47C2414yes—
498C2×D4×C47C2418yes—
499C2×D4×C47C2418yes—
500C2×D4×C47C2418yes—
501C2×D4×C47C2418yes—
502C2×D4×C47C2414yes—
503C2×D4×C47C2418yes—
504C2×D4×C47C2418yes—
505C2×D4×C47C2418yes—
506C2×D4×C47C2418yes—
507C2×D4×C47C2414yes—
508C2×D4×C47C2412yes—
509C22×C4×C47—48no—
510C22×C4×C47—48no—
511C22×C4×C47—416no—
512C22×C4×C47C2411yescharacteristic
513C22×C4×C47C2412yes—
514C22×C4×C47C2414yes—
515C22×C4×C47C2414yes—
516C22×C4×C47C2412yes—
517C22×C4×C47C2412yes—
518C22×C4×C47C2418yes—
519C22×C4×C47C2414yes—
520C22×C4×C47C2414yes—
521C22×C4×C47C2414yes—
522C22×C4×C47C2412yes—
523C22×C4×C47C2414yes—
524C22×C4×C47C2414yes—
525C22×C4×C47C2418yes—
526C22×C4×C47C2418yes—
527C22×C4×C47C2418yes—
528C22×C4×C47C2418yes—
529C22×C4×C47C2414yes—
530C22×C4×C47C2414yes—
531C22×C4×C47C2414yes—
532C22×C4×C47C2418yes—
533C22×C4×C47C2414yes—
534C22×C4×C47C2414yes—
535C4⋊C4×C47C2412yes—
536C4⋊C4×C47C2412yes—
537C4⋊C4×C47C2414yes—
538C4⋊C4×C47C2412yes—
539C4⋊C4×C47C2414yes—
540C4⋊C4×C47C2412yes—
541C4⋊C4×C47C2414yes—
542C4⋊C4×C47C2418yes—
543C4⋊C4×C47C2414yes—
544C4⋊C4×C47C2414yes—
545C4⋊C4×C47C2414yes—
546C4⋊C4×C47C2418yes—
547C4⋊C4×C47C2414yes—
548C4⋊C4×C47C2418yes—
549C4⋊C4×C47C2418yes—
550C4⋊C4×C47C2412yes—
551C4⋊C4×C47C2414yes—
552C4⋊C4×C47C2412yes—
553C4⋊C4×C47C2414yes—
554C4⋊C4×C47C2418yes—
555C4⋊C4×C47C2412yes—
556C4⋊C4×C47C2414yes—
557C4⋊C4×C47C2414yes—
558C4⋊C4×C47C2414yes—
559C4⋊C4×C47C2414yes—
560C22⋊C4×C47C2411yescharacteristic
561C22⋊C4×C47C2414yes—
562C22⋊C4×C47C2414yes—
563C22⋊C4×C47C2411yescharacteristic
564C22⋊C4×C47C2414yes—
565C22⋊C4×C47C2414yes—
566C22⋊C4×C47C2418yes—
567C22⋊C4×C47C2418yes—
568C22⋊C4×C47C2418yes—
569C22⋊C4×C47C2414yes—
570C22⋊C4×C47C2414yes—
571C22⋊C4×C47C2414yes—
572C22⋊C4×C47C2418yes—
573C22⋊C4×C47C2414yes—
574C22⋊C4×C47C2414yes—
575C22⋊C4×C47C2414yes—
576C22⋊C4×C47C2414yes—
577C22⋊C4×C47C2414yes—
578C22⋊C4×C47C2418yes—
579C22⋊C4×C47C2414yes—
580C22⋊C4×C47C2414yes—
581C22⋊C4×C47C2414yes—
582C22⋊C4×C47C2418yes—
583C22⋊C4×C47C2412yes—
584C22⋊C4×C47C2414yes—
585C22⋊C4×C47C2418yes—
586C22⋊C4×C47C2414yes—
587C22⋊C4×C47C2414yes—
588C22⋊C4×C47C2418yes—
589C22⋊C4×C47C2414yes—
590C22⋊C4×C47C2418yes—
591C22⋊C4×C47C2418yes—
592C22⋊C4×C47C2418yes—
593C22⋊C4×C47C2418yes—
594C22⋊C4×C47C2414yes—
595C22⋊C4×C47C2414yes—
596C22⋊C4×C47C2412yes—
597C22⋊C4×C47C2414yes—
598C22⋊C4×C47C2414yes—
599C22⋊C4×C47C2414yes—
600C42×C47C2411yescharacteristic
601C42×C47C2412yes—
602C42×C47C2411yescharacteristic
603C42×C47C2412yes—
604C42×C47C2412yes—
605C42×C47C2414yes—
606C42×C47C2414yes—
607C42×C47C2412yes—
608C42×C47C2414yes—
609C42×C47C2414yes—
610C42×C47C2418yes—
611C23×C47—216no—
612C23×C47—28no—
613C23×C47—28no—
614C23×C47—28no—
615C23×C47—216no—
616C23×C47—28no—
617C23×C47—44no—
618C23×C47—44no—
619C23×C47—44no—
620C23×C47—48no—
621C23×C47—48no—
622C23×C47—48no—
623C23×C47—44no—
624C23×C47—48no—
625C23×C47—44no—
626C23×C47—48no—
627C23×C47—44no—
628C23×C47—832no—
629C23×C47C2514yes—
630C23×C47C2514yes—
631C23×C47C2514yes—
632C23×C47C2514yes—
633C23×C47C2512yes—
634C23×C47C2514yes—
635C23×C47C2511yescharacteristic
636Q8×C47—24no—
637Q8×C47—28no—
638Q8×C47—48no—
639Q8×C47—41no—
640Q8×C47—44no—
641D4×C47—28no—
642D4×C47—216no—
643D4×C47—216no—
644D4×C47—28no—
645D4×C47—216no—
646D4×C47—28no—
647D4×C47—28no—
648D4×C47—24no—
649D4×C47—24no—
650D4×C47—28no—
651D4×C47—28no—
652D4×C47—24no—
653D4×C47—48no—
654D4×C47—48no—
655D4×C47—48no—
656D4×C47—44no—
657D4×C47—48no—
658D4×C47—44no—
659D4×C47—44no—
660D4×C47—48no—
661D4×C47—48no—
662D4×C47—42no—
663D4×C47—42no—
664D4×C47—44no—
665D4×C47—44no—
666D4×C47—48no—
667D4×C47—44no—
668D4×C47—48no—
669D4×C47—48no—
670D4×C47—41no—
671D4×C47H(5,𝔽2)18yescomplemented
672C2×C4×C47—28no—
673C2×C4×C47—216no—
674C2×C4×C47—22no—
675C2×C4×C47—24no—
676C2×C4×C47—28no—
677C2×C4×C47—24no—
678C2×C4×C47—28no—
679C2×C4×C47—28no—
680C2×C4×C47—24no—
681C2×C4×C47—44no—
682C2×C4×C47—44no—
683C2×C4×C47—44no—
684C2×C4×C47—44no—
685C2×C4×C47—48no—
686C2×C4×C47—44no—
687C2×C4×C47—48no—
688C2×C4×C47—44no—
689C2×C4×C47—48no—
690C2×C4×C47—44no—
691C2×C4×C47—44no—
692C2×C4×C47—48no—
693C2×C4×C47—48no—
694C2×C4×C47—42no—
695C2×C4×C47C2511yescharacteristic
696C2×C4×C47C2512yes—
697C2×C4×C47C2511yescharacteristic
698C2×C4×C47C2514yes—
699C2×C4×C47C2512yes—
700C2×C4×C47C2514yes—
701C2×C4×C47C2512yes—
702C2×C4×C47C2514yes—
703C2×C4×C47C2518yes—
704C2×C4×C47C2514yes—
705C2×C4×C47C2512yes—
706C2×C4×C47C2514yes—
707C2×C4×C47C2512yes—
708#63012C4711yesmaximal, characteristic, direct product factor, Sylow
709C22×C47—24no—
710C22×C47—22no—
711C22×C47—24no—
712C22×C47—22no—
713C22×C47—24no—
714C22×C47—24no—
715C22×C47—22no—
716C22×C47—28no—
717C22×C47—24no—
718C22×C47—28no—
719C22×C47—24no—
720C22×C47—22no—
721C22×C47—24no—
722C22×C47—24no—
723C22×C47—24no—
724C22×C47—24no—
725C22×C47—416no—
726C22×C47—416no—
727C22×C47—88no—
728C22×C47—88no—
729C22×C47—816no—
730C22×C47—88no—
731C22×C47—164no—
732C22×C47C2×H(5,𝔽2)18yes—
733C22×C47#58512yes—
734C22×C47C2611yescharacteristic
735C4×C47—22no—
736C4×C47—24no—
737C4×C47—22no—
738C4×C47—24no—
739C4×C47—24no—
740C4×C47—22no—
741C4×C47—28no—
742C4×C47—24no—
743C4×C47—21no—
744C4×C47—21no—
745C4×C47—24no—
746C4×C47—22no—
747C4×C47C2×H(5,𝔽2)14yes—
748#3558C2×C4714yescomplemented
749#3546C2×C4712yescomplemented
750#3543C2×C4711yescharacteristic, complemented
751#3542C2×C4714yescomplemented
752#3536C2×C4714yescomplemented
753#3534C2×C4718yescomplemented
754#3532C2×C4714yescomplemented
755#3520C2×C4712yescomplemented
756#3519C2×C4714yescomplemented
757#3514C2×C4712yescomplemented
758#3513C2×C4714yescomplemented
759#3508C2×C4711yescharacteristic, complemented
760#3496C2×C4712yescomplemented
761#3490C2×C4714yescomplemented
762#3488C2×C4714yescomplemented
763#3484C2×C4714yescomplemented
764#3481C2×C4712yescomplemented
765D4×#41C2×C4712yescomplemented
766C2×#546C2×C4714yescomplemented
767C2×D42C2×C4711yescharacteristic, complemented
768C2×C47—22no—
769C2×C47—28no—
770C2×C47—44no—
771C2×C47—44no—
772C2×C47—42no—
773C2×C47—44no—
774C2×C47—44no—
775C2×C47C22×H(5,𝔽2)12yes—
776C2×C47C2×#58511yescharacteristic
777C2×H(5,𝔽2)C22×C4714yescomplemented
778C22×#41C22×C4714yescomplemented
779C23×D4C22×C4714yescomplemented
780#562C22×C4718yescomplemented
781#562C22×C4718yescomplemented
782H(3,𝔽4)C22×C4714yescomplemented
783#560C22×C4718yescomplemented
784#560C22×C4714yescomplemented
785#560C22×C4714yescomplemented
786#559C22×C4712yescomplemented
787#559C22×C4714yescomplemented
788#559C22×C4711yescharacteristic, complemented
789#556C22×C4712yescomplemented
790#555C22×C4714yescomplemented
791#554C22×C4712yescomplemented
792#554C22×C4714yescomplemented
793#554C22×C4712yescomplemented
794#553C22×C4712yescomplemented
795#553C22×C4714yescomplemented
796#553C22×C4712yescomplemented
797#553C22×C4718yescomplemented
798#553C22×C4714yescomplemented
799#552C22×C4714yescomplemented
800#551C22×C4714yescomplemented
801#551C22×C4718yescomplemented
802#551C22×C4714yescomplemented
803#551C22×C4718yescomplemented
804#551C22×C4718yescomplemented
805#551C22×C4714yescomplemented
806#550C22×C4714yescomplemented
807#550C22×C4712yescomplemented
808#550C22×C4714yescomplemented
809D4×Q8C22×C4712yescomplemented
810#548C22×C4714yescomplemented
811#548C22×C4714yescomplemented
812#548C22×C4714yescomplemented
813#547C22×C4712yescomplemented
814#547C22×C4712yescomplemented
815#547C22×C4714yescomplemented
816#547C22×C4714yescomplemented
817#546C22×C4712yescomplemented
818#546C22×C4714yescomplemented
819#546C22×C4718yescomplemented
820#546C22×C4714yescomplemented
821#546C22×C4718yescomplemented
822#546C22×C4714yescomplemented
823#546C22×C4718yescomplemented
824#546C22×C4714yescomplemented
825#546C22×C4714yescomplemented
826#546C22×C4714yescomplemented
827#546C22×C4714yescomplemented
828#546C22×C4714yescomplemented
829#546C22×C4712yescomplemented
830#546C22×C4718yescomplemented
831#546C22×C4718yescomplemented
832#546C22×C4718yescomplemented
833#546C22×C4718yescomplemented
834#546C22×C4718yescomplemented
835#546C22×C4718yescomplemented
836#546C22×C4714yescomplemented
837#546C22×C4714yescomplemented
838#546C22×C4714yescomplemented
839#546C22×C4718yescomplemented
840#546C22×C4714yescomplemented
841D42C22×C4711yescharacteristic, complemented
842D42C22×C4714yescomplemented
843D42C22×C4712yescomplemented
844D42C22×C4714yescomplemented
845D42C22×C4714yescomplemented
846D42C22×C4711yescharacteristic, complemented
847D42C22×C4712yescomplemented
848D42C22×C4718yescomplemented
849D42C22×C4714yescomplemented
850D42C22×C4714yescomplemented
851D42C22×C4718yescomplemented
852D42C22×C4714yescomplemented
853D42C22×C4714yescomplemented
854D42C22×C4711yescharacteristic, complemented
855#543C22×C4714yescomplemented
856#542C22×C4714yescomplemented
857#542C22×C4714yescomplemented
858#542C22×C4714yescomplemented
859#540C22×C4718yescomplemented
860#540C22×C4714yescomplemented
861#540C22×C4714yescomplemented
862#539C22×C4718yescomplemented
863#539C22×C4718yescomplemented
864#538C22×C4718yescomplemented
865#538C22×C4718yescomplemented
866#538C22×C4718yescomplemented
867#538C22×C4718yescomplemented
868#538C22×C4718yescomplemented
869#538C22×C4718yescomplemented
870#537C22×C4718yescomplemented
871#537C22×C4714yescomplemented
872#537C22×C4714yescomplemented
873#535C22×C4712yescomplemented
874#535C22×C4718yescomplemented
875#535C22×C4714yescomplemented
876#535C22×C4714yescomplemented
877#535C22×C4714yescomplemented
878#534C22×C4714yescomplemented
879#534C22×C4718yescomplemented
880#534C22×C4718yescomplemented
881#534C22×C4718yescomplemented
882#533C22×C4711yescharacteristic, complemented
883#532C22×C4712yescomplemented
884#532C22×C4714yescomplemented
885#532C22×C4712yescomplemented
886#532C22×C4712yescomplemented
887C2×#127C22×C4711yescharacteristic, complemented
888#529C22×C4712yescomplemented
889#529C22×C4714yescomplemented
890#529C22×C4712yescomplemented
891#529C22×C4714yescomplemented
892C2×#124C22×C4714yescomplemented
893#525C22×C4714yescomplemented
894#525C22×C4714yescomplemented
895#525C22×C4714yescomplemented
896#525C22×C4718yescomplemented
897#525C22×C4718yescomplemented
898#525C22×C4714yescomplemented
899C2×#123C22×C4718yescomplemented
900C2×C22⋊Q8C22×C4714yescomplemented
901C2×#121C22×C4714yescomplemented
902C2×#121C22×C4718yescomplemented
903C2×#121C22×C4714yescomplemented
904C2×#121C22×C4714yescomplemented
905C2×#120C22×C4714yescomplemented
906C2×#120C22×C4718yescomplemented
907C2×#120C22×C4714yescomplemented
908#520C22×C4714yescomplemented
909#518C22×C4712yescomplemented
910#518C22×C4714yescomplemented
911#518C22×C4714yescomplemented
912C4×#41C22×C4711yescharacteristic, complemented
913C4×#41C22×C4712yescomplemented
914C2×C4×D4C22×C4712yescomplemented
915C2×C4×D4C22×C4714yescomplemented
916C2×C4×D4C22×C4714yescomplemented
917C2×C4×D4C22×C4712yescomplemented
918C22×C22⋊C4C22×C4714yescomplemented
919C47#6301211yescharacteristic, direct product factor, Sylow
920C25C23×C4714yes—
921H(5,𝔽2)—416no—
922C2×#41—416no—
923C2×#41C23×C4712yes—
924C2×#41C23×C4714yes—
925C2×#41C23×C4711yescharacteristic
926C2×#41C23×C4714yescomplemented
927C2×#41C23×C4718yescomplemented
928C2×#41C23×C4714yescomplemented
929C2×#41C23×C4714yescomplemented
930C2×#41C23×C4718yescomplemented
931C2×#41C23×C4714yescomplemented
932C2×#41C23×C4718yescomplemented
933C2×#41C23×C4714yescomplemented
934C22×Q8C23×C4714yescomplemented
935C22×D4—416no—
936C22×D4C23×C4714yes—
937C22×D4C23×C4712yes—
938C22×D4C23×C4712yes—
939C22×D4C23×C4714yes—
940C22×D4C23×C4714yes—
941C22×D4C23×C4712yes—
942C22×D4C23×C4714yes—
943C22×D4C23×C4718yes—
944C22×D4C23×C4718yes—
945C22×D4C23×C4714yes—
946C22×D4C23×C4714yes—
947C22×D4C23×C4718yes—
948C22×D4C23×C4714yes—
949C22×D4C23×C4718yescomplemented
950C22×D4C23×C4718yescomplemented
951C22×D4C23×C4718yescomplemented
952C22×D4C23×C4718yescomplemented
953C22×D4C23×C4714yescomplemented
954C23×C4C23×C4714yes—
955C23×C4C23×C4718yescomplemented
956C23×C4C23×C4714yescomplemented
957C4⋊Q8C23×C4712yescomplemented
958C4⋊Q8C23×C4712yescomplemented
959C4⋊Q8C23×C4714yescomplemented
960#127C23×C4711yescharacteristic
961#127C23×C4711yescharacteristic
962#127C23×C4714yes—
963#127C23×C4712yes—
964#127C23×C4712yes—
965#127C23×C4714yescomplemented
966#127C23×C4714yescomplemented
967#127C23×C4718yescomplemented
968#126C23×C4718yescomplemented
969#126C23×C4714yescomplemented
970#126C23×C4714yescomplemented
971#126C23×C4714yescomplemented
972#126C23×C4714yescomplemented
973#126C23×C4718yescomplemented
974#126C23×C4718yescomplemented
975#126C23×C4718yescomplemented
976#125C23×C4712yescomplemented
977#125C23×C4714yescomplemented
978#125C23×C4712yescomplemented
979#125C23×C4712yescomplemented
980#125C23×C4718yescomplemented
981#124C23×C4712yes—
982#124C23×C4714yes—
983#124C23×C4714yescomplemented
984#124C23×C4714yescomplemented
985#124C23×C4718yescomplemented
986#124C23×C4718yescomplemented
987#124C23×C4712yescomplemented
988#124C23×C4714yescomplemented
989#124C23×C4714yescomplemented
990#124C23×C4714yescomplemented
991#124C23×C4718yescomplemented
992#124C23×C4718yescomplemented
993#124C23×C4714yescomplemented
994#124C23×C4718yescomplemented
995#124C23×C4718yescomplemented
996#123C23×C4714yes—
997#123C23×C4718yes—
998#123C23×C4714yes—
999#123C23×C4718yescomplemented
1000#123C23×C4718yescomplemented
1001#123C23×C4718yescomplemented
1002#123C23×C4718yescomplemented
1003#123C23×C4718yescomplemented
1004#123C23×C4718yescomplemented
1005#123C23×C4714yescomplemented
1006#123C23×C4718yescomplemented
1007#123C23×C4714yescomplemented
1008#123C23×C4714yescomplemented
1009#123C23×C4718yescomplemented
1010#123C23×C4718yescomplemented
1011#123C23×C4714yescomplemented
1012#123C23×C4718yescomplemented
1013#123C23×C4714yescomplemented
1014#123C23×C4714yescomplemented
1015#123C23×C4718yescomplemented
1016#123C23×C4714yescomplemented
1017#123C23×C4718yescomplemented
1018#123C23×C4718yescomplemented
1019#123C23×C4718yescomplemented
1020#123C23×C4714yescomplemented
1021C22⋊Q8C23×C4712yes—
1022C22⋊Q8C23×C4714yes—
1023C22⋊Q8C23×C4718yes—
1024C22⋊Q8C23×C4714yes—
1025C22⋊Q8C23×C4714yescomplemented
1026C22⋊Q8C23×C4714yescomplemented
1027C22⋊Q8C23×C4718yescomplemented
1028C22⋊Q8C23×C4714yescomplemented
1029C22⋊Q8C23×C4714yescomplemented
1030C22⋊Q8C23×C4718yescomplemented
1031C22⋊Q8C23×C4714yescomplemented
1032C22⋊Q8C23×C4714yescomplemented
1033C22⋊Q8C23×C4718yescomplemented
1034C22⋊Q8C23×C4718yescomplemented
1035C22⋊Q8C23×C4714yescomplemented
1036C22⋊Q8C23×C4712yescomplemented
1037C22⋊Q8C23×C4714yescomplemented
1038C22⋊Q8C23×C4718yescomplemented
1039C22⋊Q8C23×C4718yescomplemented
1040C22⋊Q8C23×C4718yescomplemented
1041#121C23×C4714yes—
1042#121C23×C4714yes—
1043#121C23×C4712yes—
1044#121C23×C4714yes—
1045#121C23×C4718yes—
1046#121C23×C4714yes—
1047#121C23×C4718yes—
1048#121C23×C4714yes—
1049#121C23×C4714yes—
1050#121C23×C4718yes—
1051#121C23×C4712yes—
1052#121C23×C4714yes—
1053#121C23×C4714yes—
1054#121C23×C4712yes—
1055#121C23×C4718yescomplemented
1056#121C23×C4714yescomplemented
1057#121C23×C4712yescomplemented
1058#121C23×C4714yescomplemented
1059#121C23×C4718yescomplemented
1060#121C23×C4718yescomplemented
1061#121C23×C4718yescomplemented
1062#121C23×C4718yescomplemented
1063#121C23×C4718yescomplemented
1064#121C23×C4714yescomplemented
1065#121C23×C4718yescomplemented
1066#121C23×C4718yescomplemented
1067#121C23×C4718yescomplemented
1068#121C23×C4718yescomplemented
1069#121C23×C4718yescomplemented
1070#121C23×C4718yescomplemented
1071#121C23×C4714yescomplemented
1072#121C23×C4714yescomplemented
1073#121C23×C4714yescomplemented
1074#121C23×C4714yescomplemented
1075#121C23×C4714yescomplemented
1076#121C23×C4718yescomplemented
1077#121C23×C4714yescomplemented
1078#121C23×C4714yescomplemented
1079#121C23×C4718yescomplemented
1080#121C23×C4718yescomplemented
1081#121C23×C4718yescomplemented
1082#121C23×C4718yescomplemented
1083#121C23×C4718yescomplemented
1084#121C23×C4718yescomplemented
1085#121C23×C4718yescomplemented
1086#120C23×C4714yes—
1087#120C23×C4718yes—
1088#120C23×C4714yes—
1089#120C23×C4714yes—
1090#120C23×C4714yes—
1091#120C23×C4718yes—
1092#120C23×C4718yes—
1093#120C23×C4718yes—
1094#120C23×C4718yes—
1095#120C23×C4714yes—
1096#120C23×C4714yes—
1097#120C23×C4714yes—
1098#120C23×C4718yescomplemented
1099#120C23×C4718yescomplemented
1100#120C23×C4718yescomplemented
1101#120C23×C4718yescomplemented
1102#120C23×C4718yescomplemented
1103#120C23×C4718yescomplemented
1104#120C23×C4718yescomplemented
1105#120C23×C4714yescomplemented
1106#120C23×C4714yescomplemented
1107#120C23×C4718yescomplemented
1108#120C23×C4714yescomplemented
1109#120C23×C4718yescomplemented
1110C4×Q8C23×C4712yescomplemented
1111C4×Q8C23×C4712yescomplemented
1112C4×Q8C23×C4712yescomplemented
1113C4×Q8C23×C4714yescomplemented
1114C4×Q8C23×C4714yescomplemented
1115C4×D4C23×C4712yes—
1116C4×D4C23×C4712yes—
1117C4×D4C23×C4712yes—
1118C4×D4C23×C4714yes—
1119C4×D4C23×C4714yes—
1120C4×D4C23×C4712yes—
1121C4×D4C23×C4714yes—
1122C4×D4C23×C4714yes—
1123C4×D4C23×C4712yes—
1124C4×D4C23×C4714yes—
1125C4×D4C23×C4714yes—
1126C4×D4C23×C4712yes—
1127C4×D4C23×C4712yes—
1128C4×D4C23×C4712yes—
1129C4×D4C23×C4718yes—
1130C4×D4C23×C4714yescomplemented
1131C4×D4C23×C4718yescomplemented
1132C4×D4C23×C4714yescomplemented
1133C4×D4C23×C4714yescomplemented
1134C4×D4C23×C4712yescomplemented
1135C4×D4C23×C4714yescomplemented
1136C4×D4C23×C4714yescomplemented
1137C4×D4C23×C4712yescomplemented
1138C4×D4C23×C4714yescomplemented
1139C4×D4C23×C4718yescomplemented
1140C4×D4C23×C4714yescomplemented
1141C4×D4C23×C4714yescomplemented
1142C4×D4C23×C4714yescomplemented
1143C4×D4C23×C4712yescomplemented
1144C4×D4C23×C4714yescomplemented
1145C4×D4C23×C4714yescomplemented
1146C4×D4C23×C4718yescomplemented
1147C4×D4C23×C4718yescomplemented
1148C4×D4C23×C4718yescomplemented
1149C4×D4C23×C4718yescomplemented
1150C4×D4C23×C4718yescomplemented
1151C4×D4C23×C4714yescomplemented
1152C4×D4C23×C4714yescomplemented
1153C4×D4C23×C4714yescomplemented
1154C4×D4C23×C4718yescomplemented
1155C4×D4C23×C4718yescomplemented
1156#117C23×C4711yescharacteristic
1157#117C23×C4712yes—
1158#117C23×C4714yescomplemented
1159#117C23×C4712yescomplemented
1160#117C23×C4712yescomplemented
1161#117C23×C4714yescomplemented
1162#117C23×C4714yescomplemented
1163#117C23×C4718yescomplemented
1164#117C23×C4714yescomplemented
1165#117C23×C4718yescomplemented
1166C2×C4⋊C4C23×C4712yes—
1167C2×C4⋊C4C23×C4714yescomplemented
1168C2×C4⋊C4C23×C4714yescomplemented
1169C2×C4⋊C4C23×C4712yescomplemented
1170C2×C4⋊C4C23×C4718yescomplemented
1171C2×C4⋊C4C23×C4714yescomplemented
1172C2×C22⋊C4C23×C4714yes—
1173C2×C22⋊C4C23×C4714yes—
1174C2×C22⋊C4C23×C4718yes—
1175C2×C22⋊C4C23×C4714yes—
1176C2×C22⋊C4C23×C4714yes—
1177C2×C22⋊C4C23×C4714yes—
1178C2×C22⋊C4C23×C4714yes—
1179C2×C22⋊C4C23×C4718yescomplemented
1180C2×C22⋊C4C23×C4718yescomplemented
1181C2×C22⋊C4C23×C4718yescomplemented
1182C2×C22⋊C4C23×C4718yescomplemented
1183C2×C22⋊C4C23×C4714yescomplemented
1184C2×C22⋊C4C23×C4714yescomplemented
1185C2×C22⋊C4C23×C4718yescomplemented
1186C2×C22⋊C4C23×C4718yescomplemented
1187C2×C22⋊C4C23×C4718yescomplemented
1188C2×C42C23×C4711yescharacteristic
1189C2×C42C23×C4714yescomplemented
1190C2×C42C23×C4712yescomplemented
1191C24—416no—
1192C24—48no—
1193C24C24×C4714yes—
1194C24C24×C4714yes—
1195C24C24×C4714yes—
1196C24C24×C4718yes—
1197C24C24×C4714yes—
1198C24C24×C4714yes—
1199C24C24×C4714yes—
1200#41—28no—
1201#41—216no—
1202#41—48no—
1203#41—416no—
1204#41—416no—
1205#41—42no—
1206#41—416no—
1207#41—48no—
1208#41—48no—
1209#41—48no—
1210#41—48no—
1211C2×Q8—48no—
1212C2×Q8C24×C4712yes—
1213C2×Q8C24×C4714yes—
1214C2×Q8C24×C4711yescharacteristic
1215C2×Q8C24×C4714yes—
1216C2×Q8C24×C4718yes—
1217C2×D4—28no—
1218C2×D4—216no—
1219C2×D4—216no—
1220C2×D4—28no—
1221C2×D4—48no—
1222C2×D4—48no—
1223C2×D4—48no—
1224C2×D4—48no—
1225C2×D4—44no—
1226C2×D4—416no—
1227C2×D4—416no—
1228C2×D4—416no—
1229C2×D4—416no—
1230C2×D4—48no—
1231C2×D4—48no—
1232C2×D4—416no—
1233C2×D4—416no—
1234C2×D4—416no—
1235C2×D4C24×C4712yes—
1236C2×D4C24×C4714yes—
1237C2×D4C24×C4714yes—
1238C2×D4C24×C4712yes—
1239C2×D4C24×C4718yes—
1240C2×D4C24×C4718yes—
1241C2×D4C24×C4714yes—
1242C2×D4C24×C4714yes—
1243C2×D4C24×C4718yes—
1244C2×D4C24×C4714yes—
1245C2×D4C24×C4714yes—
1246C2×D4C24×C4712yes—
1247C2×D4C24×C4712yes—
1248C2×D4C24×C4714yes—
1249C2×D4C24×C4712yes—
1250C2×D4C24×C4714yes—
1251C2×D4C24×C4714yes—
1252C2×D4C24×C4718yes—
1253C2×D4C24×C4711yescharacteristic
1254C2×D4C24×C4714yes—
1255C2×D4C24×C4718yes—
1256C2×D4C24×C4718yes—
1257C2×D4C24×C4718yes—
1258C2×D4C24×C4718yes—
1259C2×D4C24×C4714yes—
1260C2×D4C24×C4718yes—
1261C2×D4C24×C4718yes—
1262C2×D4C24×C4718yes—
1263C2×D4C24×C4718yes—
1264C2×D4C24×C4714yes—
1265C2×D4C24×C4712yes—
1266C22×C4—48no—
1267C22×C4—48no—
1268C22×C4—416no—
1269C22×C4C24×C4711yescharacteristic
1270C22×C4C24×C4712yes—
1271C22×C4C24×C4714yes—
1272C22×C4C24×C4714yes—
1273C22×C4C24×C4712yes—
1274C22×C4C24×C4712yes—
1275C22×C4C24×C4718yes—
1276C22×C4C24×C4714yes—
1277C22×C4C24×C4714yes—
1278C22×C4C24×C4714yes—
1279C22×C4C24×C4712yes—
1280C22×C4C24×C4714yes—
1281C22×C4C24×C4714yes—
1282C22×C4C24×C4718yes—
1283C22×C4C24×C4718yes—
1284C22×C4C24×C4718yes—
1285C22×C4C24×C4718yes—
1286C22×C4C24×C4714yes—
1287C22×C4C24×C4714yes—
1288C22×C4C24×C4714yes—
1289C22×C4C24×C4718yes—
1290C22×C4C24×C4714yes—
1291C22×C4C24×C4714yes—
1292C4⋊C4C24×C4712yes—
1293C4⋊C4C24×C4712yes—
1294C4⋊C4C24×C4714yes—
1295C4⋊C4C24×C4712yes—
1296C4⋊C4C24×C4714yes—
1297C4⋊C4C24×C4712yes—
1298C4⋊C4C24×C4714yes—
1299C4⋊C4C24×C4718yes—
1300C4⋊C4C24×C4714yes—
1301C4⋊C4C24×C4714yes—
1302C4⋊C4C24×C4714yes—
1303C4⋊C4C24×C4718yes—
1304C4⋊C4C24×C4714yes—
1305C4⋊C4C24×C4718yes—
1306C4⋊C4C24×C4718yes—
1307C4⋊C4C24×C4712yes—
1308C4⋊C4C24×C4714yes—
1309C4⋊C4C24×C4712yes—
1310C4⋊C4C24×C4714yes—
1311C4⋊C4C24×C4718yes—
1312C4⋊C4C24×C4712yes—
1313C4⋊C4C24×C4714yes—
1314C4⋊C4C24×C4714yes—
1315C4⋊C4C24×C4714yes—
1316C4⋊C4C24×C4714yes—
1317C22⋊C4C24×C4711yescharacteristic
1318C22⋊C4C24×C4714yes—
1319C22⋊C4C24×C4714yes—
1320C22⋊C4C24×C4711yescharacteristic
1321C22⋊C4C24×C4714yes—
1322C22⋊C4C24×C4714yes—
1323C22⋊C4C24×C4718yes—
1324C22⋊C4C24×C4718yes—
1325C22⋊C4C24×C4718yes—
1326C22⋊C4C24×C4714yes—
1327C22⋊C4C24×C4714yes—
1328C22⋊C4C24×C4714yes—
1329C22⋊C4C24×C4718yes—
1330C22⋊C4C24×C4714yes—
1331C22⋊C4C24×C4714yes—
1332C22⋊C4C24×C4714yes—
1333C22⋊C4C24×C4714yes—
1334C22⋊C4C24×C4714yes—
1335C22⋊C4C24×C4718yes—
1336C22⋊C4C24×C4714yes—
1337C22⋊C4C24×C4714yes—
1338C22⋊C4C24×C4714yes—
1339C22⋊C4C24×C4718yes—
1340C22⋊C4C24×C4712yes—
1341C22⋊C4C24×C4714yes—
1342C22⋊C4C24×C4718yes—
1343C22⋊C4C24×C4714yes—
1344C22⋊C4C24×C4714yes—
1345C22⋊C4C24×C4718yes—
1346C22⋊C4C24×C4714yes—
1347C22⋊C4C24×C4718yes—
1348C22⋊C4C24×C4718yes—
1349C22⋊C4C24×C4718yes—
1350C22⋊C4C24×C4718yes—
1351C22⋊C4C24×C4714yes—
1352C22⋊C4C24×C4714yes—
1353C22⋊C4C24×C4712yes—
1354C22⋊C4C24×C4714yes—
1355C22⋊C4C24×C4714yes—
1356C22⋊C4C24×C4714yes—
1357C42C24×C4711yescharacteristic
1358C42C24×C4712yes—
1359C42C24×C4711yescharacteristic
1360C42C24×C4712yes—
1361C42C24×C4712yes—
1362C42C24×C4714yes—
1363C42C24×C4714yes—
1364C42C24×C4712yes—
1365C42C24×C4714yes—
1366C42C24×C4714yes—
1367C42C24×C4718yes—
1368C23—216no—
1369C23—28no—
1370C23—28no—
1371C23—28no—
1372C23—216no—
1373C23—28no—
1374C23—44no—
1375C23—44no—
1376C23—44no—
1377C23—48no—
1378C23—48no—
1379C23—48no—
1380C23—44no—
1381C23—48no—
1382C23—44no—
1383C23—48no—
1384C23—44no—
1385C23—832no—
1386C23C25×C4714yes—
1387C23C25×C4714yes—
1388C23C25×C4714yes—
1389C23C25×C4714yes—
1390C23C25×C4712yes—
1391C23C25×C4714yes—
1392C23C25×C4711yescharacteristic
1393Q8—24no—
1394Q8—28no—
1395Q8—48no—
1396Q8—41no—
1397Q8—44no—
1398D4—28no—
1399D4—216no—
1400D4—216no—
1401D4—28no—
1402D4—216no—
1403D4—28no—
1404D4—28no—
1405D4—24no—
1406D4—24no—
1407D4—28no—
1408D4—28no—
1409D4—24no—
1410D4—48no—
1411D4—48no—
1412D4—48no—
1413D4—44no—
1414D4—48no—
1415D4—44no—
1416D4—44no—
1417D4—48no—
1418D4—48no—
1419D4—42no—
1420D4—42no—
1421D4—44no—
1422D4—44no—
1423D4—48no—
1424D4—44no—
1425D4—48no—
1426D4—48no—
1427D4—41no—
1428D4H(5,𝔽2)×C4718yescomplemented
1429C2×C4—28no—
1430C2×C4—216no—
1431C2×C4—22no—
1432C2×C4—24no—
1433C2×C4—28no—
1434C2×C4—24no—
1435C2×C4—28no—
1436C2×C4—28no—
1437C2×C4—24no—
1438C2×C4—44no—
1439C2×C4—44no—
1440C2×C4—44no—
1441C2×C4—44no—
1442C2×C4—48no—
1443C2×C4—44no—
1444C2×C4—48no—
1445C2×C4—44no—
1446C2×C4—48no—
1447C2×C4—44no—
1448C2×C4—44no—
1449C2×C4—48no—
1450C2×C4—48no—
1451C2×C4—42no—
1452C2×C4C25×C4711yescharacteristic
1453C2×C4C25×C4712yes—
1454C2×C4C25×C4711yescharacteristic
1455C2×C4C25×C4714yes—
1456C2×C4C25×C4712yes—
1457C2×C4C25×C4714yes—
1458C2×C4C25×C4712yes—
1459C2×C4C25×C4714yes—
1460C2×C4C25×C4718yes—
1461C2×C4C25×C4714yes—
1462C2×C4C25×C4712yes—
1463C2×C4C25×C4714yes—
1464C2×C4C25×C4712yes—
1465C22—24no—
1466C22—22no—
1467C22—24no—
1468C22—22no—
1469C22—24no—
1470C22—24no—
1471C22—22no—
1472C22—28no—
1473C22—24no—
1474C22—28no—
1475C22—24no—
1476C22—22no—
1477C22—24no—
1478C22—24no—
1479C22—24no—
1480C22—24no—
1481C22—416no—
1482C22—416no—
1483C22—88no—
1484C22—816no—
1485C22—88no—
1486C22—88no—
1487C22—164no—
1488C22C2×H(5,𝔽2)×C4718yes—
1489C22C47×#58512yes—
1490C22C26×C4711yescharacteristic
1491C4—22no—
1492C4—24no—
1493C4—22no—
1494C4—24no—
1495C4—24no—
1496C4—22no—
1497C4—28no—
1498C4—24no—
1499C4—21no—
1500C4—21no—
1501C4—24no—
1502C4—22no—
1503C4C2×H(5,𝔽2)×C4714yes—
1504C2—22no—
1505C2—28no—
1506C2—44no—
1507C2—44no—
1508C2—44no—
1509C2—42no—
1510C2—44no—
1511C2C22×H(5,𝔽2)×C4712yes—
1512C2C2×C47×#58511yescharacteristic
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×#3546C2semidirect
3. C47×#3543C2semidirect
4. C47×#3542C2semidirect
5. C47×#3536C2semidirect
6. C47×#3534C2semidirect
7. C47×#3532C2semidirect
8. C47×#3520C2semidirect
9. C47×#3519C2semidirect
10. C47×#3514C2semidirect
11. C47×#3513C2semidirect
12. C47×#3508C2semidirect
13. C47×#3496C2semidirect
14. C47×#3490C2semidirect
15. C47×#3488C2semidirect
16. C47×#3484C2semidirect
17. C47×#3481C2semidirect
18. D4×#41×C47C2semidirect
19. C2×C47×#546C2semidirect
20. C2×D42×C47C2semidirect
21. C2×H(5,𝔽2)×C47C22semidirect
22. C22×#41×C47C22semidirect
23. C23×D4×C47C22semidirect
24. C47×#562C22semidirect
25. C47×#562C22semidirect
26. C47×H(3,𝔽4)C22semidirect
27. C47×#560C22semidirect
28. C47×#560C22semidirect
29. C47×#560C22semidirect
30. C47×#559C22semidirect
31. C47×#559C22semidirect
32. C47×#559C22semidirect
33. C47×#556C22semidirect
34. C47×#555C22semidirect
35. C47×#554C22semidirect
36. C47×#554C22semidirect
37. C47×#554C22semidirect
38. C47×#553C22semidirect
39. C47×#553C22semidirect
40. C47×#553C22semidirect
41. C47×#553C22semidirect
42. C47×#553C22semidirect
43. C47×#552C22semidirect
44. C47×#551C22semidirect
45. C47×#551C22semidirect
46. C47×#551C22semidirect
47. C47×#551C22semidirect
48. C47×#551C22semidirect
49. C47×#551C22semidirect
50. C47×#550C22semidirect
51. C47×#550C22semidirect
52. C47×#550C22semidirect
53. D4×Q8×C47C22semidirect
54. C47×#548C22semidirect
55. C47×#548C22semidirect
56. C47×#548C22semidirect
57. C47×#547C22semidirect
58. C47×#547C22semidirect
59. C47×#547C22semidirect
60. C47×#547C22semidirect
61. C47×#546C22semidirect
62. C47×#546C22semidirect
63. C47×#546C22semidirect
64. C47×#546C22semidirect
65. C47×#546C22semidirect
66. C47×#546C22semidirect
67. C47×#546C22semidirect
68. C47×#546C22semidirect
69. C47×#546C22semidirect
70. C47×#546C22semidirect
71. C47×#546C22semidirect
72. C47×#546C22semidirect
73. C47×#546C22semidirect
74. C47×#546C22semidirect
75. C47×#546C22semidirect
76. C47×#546C22semidirect
77. C47×#546C22semidirect
78. C47×#546C22semidirect
79. C47×#546C22semidirect
80. C47×#546C22semidirect
81. C47×#546C22semidirect
82. C47×#546C22semidirect
83. C47×#546C22semidirect
84. C47×#546C22semidirect
85. D42×C47C22semidirect
86. D42×C47C22semidirect
87. D42×C47C22semidirect
88. D42×C47C22semidirect
89. D42×C47C22semidirect
90. D42×C47C22semidirect
91. D42×C47C22semidirect
92. D42×C47C22semidirect
93. D42×C47C22semidirect
94. D42×C47C22semidirect
95. D42×C47C22semidirect
96. D42×C47C22semidirect
97. D42×C47C22semidirect
98. D42×C47C22semidirect
99. C47×#543C22semidirect
100. C47×#542C22semidirect
101. C47×#542C22semidirect
102. C47×#542C22semidirect
103. C47×#540C22semidirect
104. C47×#540C22semidirect
105. C47×#540C22semidirect
106. C47×#539C22semidirect
107. C47×#539C22semidirect
108. C47×#538C22semidirect
109. C47×#538C22semidirect
110. C47×#538C22semidirect
111. C47×#538C22semidirect
112. C47×#538C22semidirect
113. C47×#538C22semidirect
114. C47×#537C22semidirect
115. C47×#537C22semidirect
116. C47×#537C22semidirect
117. C47×#535C22semidirect
118. C47×#535C22semidirect
119. C47×#535C22semidirect
120. C47×#535C22semidirect
121. C47×#535C22semidirect
122. C47×#534C22semidirect
123. C47×#534C22semidirect
124. C47×#534C22semidirect
125. C47×#534C22semidirect
126. C47×#533C22semidirect
127. C47×#532C22semidirect
128. C47×#532C22semidirect
129. C47×#532C22semidirect
130. C47×#532C22semidirect
131. C2×#127×C47C22semidirect
132. C47×#529C22semidirect
133. C47×#529C22semidirect
134. C47×#529C22semidirect
135. C47×#529C22semidirect
136. C2×#124×C47C22semidirect
137. C47×#525C22semidirect
138. C47×#525C22semidirect
139. C47×#525C22semidirect
140. C47×#525C22semidirect
141. C47×#525C22semidirect
142. C47×#525C22semidirect
143. C2×#123×C47C22semidirect
144. C2×C22⋊Q8×C47C22semidirect
145. C2×#121×C47C22semidirect
146. C2×#121×C47C22semidirect
147. C2×#121×C47C22semidirect
148. C2×#121×C47C22semidirect
149. C2×#120×C47C22semidirect
150. C2×#120×C47C22semidirect
151. C2×#120×C47C22semidirect
152. C47×#520C22semidirect
153. C47×#518C22semidirect
154. C47×#518C22semidirect
155. C47×#518C22semidirect
156. C4×#41×C47C22semidirect
157. C4×#41×C47C22semidirect
158. C2×C4×D4×C47C22semidirect
159. C2×C4×D4×C47C22semidirect
160. C2×C4×D4×C47C22semidirect
161. C2×C4×D4×C47C22semidirect
162. C22×C22⋊C4×C47C22semidirect
169. C2×#41×C47C23semidirect
170. C2×#41×C47C23semidirect
171. C2×#41×C47C23semidirect
172. C2×#41×C47C23semidirect
173. C2×#41×C47C23semidirect
174. C2×#41×C47C23semidirect
175. C2×#41×C47C23semidirect
176. C2×#41×C47C23semidirect
177. C22×Q8×C47C23semidirect
192. C22×D4×C47C23semidirect
193. C22×D4×C47C23semidirect
194. C22×D4×C47C23semidirect
195. C22×D4×C47C23semidirect
196. C22×D4×C47C23semidirect
198. C23×C4×C47C23semidirect
199. C23×C4×C47C23semidirect
200. C4⋊Q8×C47C23semidirect
201. C4⋊Q8×C47C23semidirect
202. C4⋊Q8×C47C23semidirect
208. #127×C47C23semidirect
209. #127×C47C23semidirect
210. #127×C47C23semidirect
211. #126×C47C23semidirect
212. #126×C47C23semidirect
213. #126×C47C23semidirect
214. #126×C47C23semidirect
215. #126×C47C23semidirect
216. #126×C47C23semidirect
217. #126×C47C23semidirect
218. #126×C47C23semidirect
219. #125×C47C23semidirect
220. #125×C47C23semidirect
221. #125×C47C23semidirect
222. #125×C47C23semidirect
223. #125×C47C23semidirect
226. #124×C47C23semidirect
227. #124×C47C23semidirect
228. #124×C47C23semidirect
229. #124×C47C23semidirect
230. #124×C47C23semidirect
231. #124×C47C23semidirect
232. #124×C47C23semidirect
233. #124×C47C23semidirect
234. #124×C47C23semidirect
235. #124×C47C23semidirect
236. #124×C47C23semidirect
237. #124×C47C23semidirect
238. #124×C47C23semidirect
242. #123×C47C23semidirect
243. #123×C47C23semidirect
244. #123×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
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
283. C22⋊Q8×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
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. C4×Q8×C47C23semidirect
354. C4×Q8×C47C23semidirect
355. C4×Q8×C47C23semidirect
356. C4×Q8×C47C23semidirect
357. C4×Q8×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. C4×D4×C47C23semidirect
391. C4×D4×C47C23semidirect
392. C4×D4×C47C23semidirect
393. C4×D4×C47C23semidirect
394. C4×D4×C47C23semidirect
395. C4×D4×C47C23semidirect
396. C4×D4×C47C23semidirect
397. C4×D4×C47C23semidirect
398. C4×D4×C47C23semidirect
401. #117×C47C23semidirect
402. #117×C47C23semidirect
403. #117×C47C23semidirect
404. #117×C47C23semidirect
405. #117×C47C23semidirect
406. #117×C47C23semidirect
407. #117×C47C23semidirect
408. #117×C47C23semidirect
410. C2×C4⋊C4×C47C23semidirect
411. C2×C4⋊C4×C47C23semidirect
412. C2×C4⋊C4×C47C23semidirect
413. C2×C4⋊C4×C47C23semidirect
414. C2×C4⋊C4×C47C23semidirect
422. C2×C22⋊C4×C47C23semidirect
423. C2×C22⋊C4×C47C23semidirect
424. C2×C22⋊C4×C47C23semidirect
425. C2×C22⋊C4×C47C23semidirect
426. C2×C22⋊C4×C47C23semidirect
427. C2×C22⋊C4×C47C23semidirect
428. C2×C22⋊C4×C47C23semidirect
429. C2×C22⋊C4×C47C23semidirect
430. C2×C22⋊C4×C47C23semidirect
432. C2×C42×C47C23semidirect
433. C2×C42×C47C23semidirect
671. D4×C47H(5,𝔽2)semidirect
708. #63012C47direct (N × H)
748. #3558C2×C47semidirect
749. #3546C2×C47semidirect
750. #3543C2×C47semidirect
751. #3542C2×C47semidirect
752. #3536C2×C47semidirect
753. #3534C2×C47semidirect
754. #3532C2×C47semidirect
755. #3520C2×C47semidirect
756. #3519C2×C47semidirect
757. #3514C2×C47semidirect
758. #3513C2×C47semidirect
759. #3508C2×C47semidirect
760. #3496C2×C47semidirect
761. #3490C2×C47semidirect
762. #3488C2×C47semidirect
763. #3484C2×C47semidirect
764. #3481C2×C47semidirect
765. D4×#41C2×C47semidirect
766. C2×#546C2×C47semidirect
767. C2×D42C2×C47semidirect
777. C2×H(5,𝔽2)C22×C47semidirect
778. C22×#41C22×C47semidirect
779. C23×D4C22×C47semidirect
780. #562C22×C47semidirect
781. #562C22×C47semidirect
782. H(3,𝔽4)C22×C47semidirect
783. #560C22×C47semidirect
784. #560C22×C47semidirect
785. #560C22×C47semidirect
786. #559C22×C47semidirect
787. #559C22×C47semidirect
788. #559C22×C47semidirect
789. #556C22×C47semidirect
790. #555C22×C47semidirect
791. #554C22×C47semidirect
792. #554C22×C47semidirect
793. #554C22×C47semidirect
794. #553C22×C47semidirect
795. #553C22×C47semidirect
796. #553C22×C47semidirect
797. #553C22×C47semidirect
798. #553C22×C47semidirect
799. #552C22×C47semidirect
800. #551C22×C47semidirect
801. #551C22×C47semidirect
802. #551C22×C47semidirect
803. #551C22×C47semidirect
804. #551C22×C47semidirect
805. #551C22×C47semidirect
806. #550C22×C47semidirect
807. #550C22×C47semidirect
808. #550C22×C47semidirect
809. D4×Q8C22×C47semidirect
810. #548C22×C47semidirect
811. #548C22×C47semidirect
812. #548C22×C47semidirect
813. #547C22×C47semidirect
814. #547C22×C47semidirect
815. #547C22×C47semidirect
816. #547C22×C47semidirect
817. #546C22×C47semidirect
818. #546C22×C47semidirect
819. #546C22×C47semidirect
820. #546C22×C47semidirect
821. #546C22×C47semidirect
822. #546C22×C47semidirect
823. #546C22×C47semidirect
824. #546C22×C47semidirect
825. #546C22×C47semidirect
826. #546C22×C47semidirect
827. #546C22×C47semidirect
828. #546C22×C47semidirect
829. #546C22×C47semidirect
830. #546C22×C47semidirect
831. #546C22×C47semidirect
832. #546C22×C47semidirect
833. #546C22×C47semidirect
834. #546C22×C47semidirect
835. #546C22×C47semidirect
836. #546C22×C47semidirect
837. #546C22×C47semidirect
838. #546C22×C47semidirect
839. #546C22×C47semidirect
840. #546C22×C47semidirect
841. D42C22×C47semidirect
842. D42C22×C47semidirect
843. D42C22×C47semidirect
844. D42C22×C47semidirect
845. D42C22×C47semidirect
846. D42C22×C47semidirect
847. D42C22×C47semidirect
848. D42C22×C47semidirect
849. D42C22×C47semidirect
850. D42C22×C47semidirect
851. D42C22×C47semidirect
852. D42C22×C47semidirect
853. D42C22×C47semidirect
854. D42C22×C47semidirect
855. #543C22×C47semidirect
856. #542C22×C47semidirect
857. #542C22×C47semidirect
858. #542C22×C47semidirect
859. #540C22×C47semidirect
860. #540C22×C47semidirect
861. #540C22×C47semidirect
862. #539C22×C47semidirect
863. #539C22×C47semidirect
864. #538C22×C47semidirect
865. #538C22×C47semidirect
866. #538C22×C47semidirect
867. #538C22×C47semidirect
868. #538C22×C47semidirect
869. #538C22×C47semidirect
870. #537C22×C47semidirect
871. #537C22×C47semidirect
872. #537C22×C47semidirect
873. #535C22×C47semidirect
874. #535C22×C47semidirect
875. #535C22×C47semidirect
876. #535C22×C47semidirect
877. #535C22×C47semidirect
878. #534C22×C47semidirect
879. #534C22×C47semidirect
880. #534C22×C47semidirect
881. #534C22×C47semidirect
882. #533C22×C47semidirect
883. #532C22×C47semidirect
884. #532C22×C47semidirect
885. #532C22×C47semidirect
886. #532C22×C47semidirect
887. C2×#127C22×C47semidirect
888. #529C22×C47semidirect
889. #529C22×C47semidirect
890. #529C22×C47semidirect
891. #529C22×C47semidirect
892. C2×#124C22×C47semidirect
893. #525C22×C47semidirect
894. #525C22×C47semidirect
895. #525C22×C47semidirect
896. #525C22×C47semidirect
897. #525C22×C47semidirect
898. #525C22×C47semidirect
899. C2×#123C22×C47semidirect
900. C2×C22⋊Q8C22×C47semidirect
901. C2×#121C22×C47semidirect
902. C2×#121C22×C47semidirect
903. C2×#121C22×C47semidirect
904. C2×#121C22×C47semidirect
905. C2×#120C22×C47semidirect
906. C2×#120C22×C47semidirect
907. C2×#120C22×C47semidirect
908. #520C22×C47semidirect
909. #518C22×C47semidirect
910. #518C22×C47semidirect
911. #518C22×C47semidirect
912. C4×#41C22×C47semidirect
913. C4×#41C22×C47semidirect
914. C2×C4×D4C22×C47semidirect
915. C2×C4×D4C22×C47semidirect
916. C2×C4×D4C22×C47semidirect
917. C2×C4×D4C22×C47semidirect
918. C22×C22⋊C4C22×C47semidirect
919. C47#63012direct (N × H)
926. C2×#41C23×C47semidirect
927. C2×#41C23×C47semidirect
928. C2×#41C23×C47semidirect
929. C2×#41C23×C47semidirect
930. C2×#41C23×C47semidirect
931. C2×#41C23×C47semidirect
932. C2×#41C23×C47semidirect
933. C2×#41C23×C47semidirect
934. C22×Q8C23×C47semidirect
949. C22×D4C23×C47semidirect
950. C22×D4C23×C47semidirect
951. C22×D4C23×C47semidirect
952. C22×D4C23×C47semidirect
953. C22×D4C23×C47semidirect
955. C23×C4C23×C47semidirect
956. C23×C4C23×C47semidirect
957. C4⋊Q8C23×C47semidirect
958. C4⋊Q8C23×C47semidirect
959. C4⋊Q8C23×C47semidirect
965. #127C23×C47semidirect
966. #127C23×C47semidirect
967. #127C23×C47semidirect
968. #126C23×C47semidirect
969. #126C23×C47semidirect
970. #126C23×C47semidirect
971. #126C23×C47semidirect
972. #126C23×C47semidirect
973. #126C23×C47semidirect
974. #126C23×C47semidirect
975. #126C23×C47semidirect
976. #125C23×C47semidirect
977. #125C23×C47semidirect
978. #125C23×C47semidirect
979. #125C23×C47semidirect
980. #125C23×C47semidirect
983. #124C23×C47semidirect
984. #124C23×C47semidirect
985. #124C23×C47semidirect
986. #124C23×C47semidirect
987. #124C23×C47semidirect
988. #124C23×C47semidirect
989. #124C23×C47semidirect
990. #124C23×C47semidirect
991. #124C23×C47semidirect
992. #124C23×C47semidirect
993. #124C23×C47semidirect
994. #124C23×C47semidirect
995. #124C23×C47semidirect
999. #123C23×C47semidirect
1000. #123C23×C47semidirect
1001. #123C23×C47semidirect
1002. #123C23×C47semidirect
1003. #123C23×C47semidirect
1004. #123C23×C47semidirect
1005. #123C23×C47semidirect
1006. #123C23×C47semidirect
1007. #123C23×C47semidirect
1008. #123C23×C47semidirect
1009. #123C23×C47semidirect
1010. #123C23×C47semidirect
1011. #123C23×C47semidirect
1012. #123C23×C47semidirect
1013. #123C23×C47semidirect
1014. #123C23×C47semidirect
1015. #123C23×C47semidirect
1016. #123C23×C47semidirect
1017. #123C23×C47semidirect
1018. #123C23×C47semidirect
1019. #123C23×C47semidirect
1020. #123C23×C47semidirect
1025. C22⋊Q8C23×C47semidirect
1026. C22⋊Q8C23×C47semidirect
1027. C22⋊Q8C23×C47semidirect
1028. C22⋊Q8C23×C47semidirect
1029. C22⋊Q8C23×C47semidirect
1030. C22⋊Q8C23×C47semidirect
1031. C22⋊Q8C23×C47semidirect
1032. C22⋊Q8C23×C47semidirect
1033. C22⋊Q8C23×C47semidirect
1034. C22⋊Q8C23×C47semidirect
1035. C22⋊Q8C23×C47semidirect
1036. C22⋊Q8C23×C47semidirect
1037. C22⋊Q8C23×C47semidirect
1038. C22⋊Q8C23×C47semidirect
1039. C22⋊Q8C23×C47semidirect
1040. C22⋊Q8C23×C47semidirect
1055. #121C23×C47semidirect
1056. #121C23×C47semidirect
1057. #121C23×C47semidirect
1058. #121C23×C47semidirect
1059. #121C23×C47semidirect
1060. #121C23×C47semidirect
1061. #121C23×C47semidirect
1062. #121C23×C47semidirect
1063. #121C23×C47semidirect
1064. #121C23×C47semidirect
1065. #121C23×C47semidirect
1066. #121C23×C47semidirect
1067. #121C23×C47semidirect
1068. #121C23×C47semidirect
1069. #121C23×C47semidirect
1070. #121C23×C47semidirect
1071. #121C23×C47semidirect
1072. #121C23×C47semidirect
1073. #121C23×C47semidirect
1074. #121C23×C47semidirect
1075. #121C23×C47semidirect
1076. #121C23×C47semidirect
1077. #121C23×C47semidirect
1078. #121C23×C47semidirect
1079. #121C23×C47semidirect
1080. #121C23×C47semidirect
1081. #121C23×C47semidirect
1082. #121C23×C47semidirect
1083. #121C23×C47semidirect
1084. #121C23×C47semidirect
1085. #121C23×C47semidirect
1098. #120C23×C47semidirect
1099. #120C23×C47semidirect
1100. #120C23×C47semidirect
1101. #120C23×C47semidirect
1102. #120C23×C47semidirect
1103. #120C23×C47semidirect
1104. #120C23×C47semidirect
1105. #120C23×C47semidirect
1106. #120C23×C47semidirect
1107. #120C23×C47semidirect
1108. #120C23×C47semidirect
1109. #120C23×C47semidirect
1110. C4×Q8C23×C47semidirect
1111. C4×Q8C23×C47semidirect
1112. C4×Q8C23×C47semidirect
1113. C4×Q8C23×C47semidirect
1114. C4×Q8C23×C47semidirect
1130. C4×D4C23×C47semidirect
1131. C4×D4C23×C47semidirect
1132. C4×D4C23×C47semidirect
1133. C4×D4C23×C47semidirect
1134. C4×D4C23×C47semidirect
1135. C4×D4C23×C47semidirect
1136. C4×D4C23×C47semidirect
1137. C4×D4C23×C47semidirect
1138. C4×D4C23×C47semidirect
1139. C4×D4C23×C47semidirect
1140. C4×D4C23×C47semidirect
1141. C4×D4C23×C47semidirect
1142. C4×D4C23×C47semidirect
1143. C4×D4C23×C47semidirect
1144. C4×D4C23×C47semidirect
1145. C4×D4C23×C47semidirect
1146. C4×D4C23×C47semidirect
1147. C4×D4C23×C47semidirect
1148. C4×D4C23×C47semidirect
1149. C4×D4C23×C47semidirect
1150. C4×D4C23×C47semidirect
1151. C4×D4C23×C47semidirect
1152. C4×D4C23×C47semidirect
1153. C4×D4C23×C47semidirect
1154. C4×D4C23×C47semidirect
1155. C4×D4C23×C47semidirect
1158. #117C23×C47semidirect
1159. #117C23×C47semidirect
1160. #117C23×C47semidirect
1161. #117C23×C47semidirect
1162. #117C23×C47semidirect
1163. #117C23×C47semidirect
1164. #117C23×C47semidirect
1165. #117C23×C47semidirect
1167. C2×C4⋊C4C23×C47semidirect
1168. C2×C4⋊C4C23×C47semidirect
1169. C2×C4⋊C4C23×C47semidirect
1170. C2×C4⋊C4C23×C47semidirect
1171. C2×C4⋊C4C23×C47semidirect
1179. C2×C22⋊C4C23×C47semidirect
1180. C2×C22⋊C4C23×C47semidirect
1181. C2×C22⋊C4C23×C47semidirect
1182. C2×C22⋊C4C23×C47semidirect
1183. C2×C22⋊C4C23×C47semidirect
1184. C2×C22⋊C4C23×C47semidirect
1185. C2×C22⋊C4C23×C47semidirect
1186. C2×C22⋊C4C23×C47semidirect
1187. C2×C22⋊C4C23×C47semidirect
1189. C2×C42C23×C47semidirect
1190. C2×C42C23×C47semidirect
1428. 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×#35462
C47×#35432
C47×#35422
C47×#35362
C47×#35342
C47×#35322
C47×#35202
C47×#35192
C47×#35142
C47×#35132
C47×#35082
C47×#34962
C47×#34902
C47×#34882
C47×#34842
C47×#34812
D4×#41×C472
C2×C47×#5462
C2×D42×C472
#6301247