Finite Group Databasebeta

← C47×#63069 #26102767

Subgroups — C47×#63069 #26102767

Order 12032.

6496 conjugacy classes of subgroups.

The subgroup lattice has 652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C47×#3568C2110yesmaximal, complemented
2C47×#3561C2110yesmaximal, complemented
3C47×#3561C215yesmaximal, complemented
4C47×#3558C215yesmaximal, complemented
5C47×#3550C215yesmaximal, complemented
6C47×#3545C2110yesmaximal, complemented
7C47×#3531C212yesmaximal, complemented
8C47×#3531C211yesmaximal, characteristic, complemented
9C47×#3518C215yesmaximal, complemented
10C47×#3514C215yesmaximal, complemented
11C47×#3510C215yesmaximal, complemented
12C47×#564C2211yescharacteristic, complemented
13C47×#563C22110yescomplemented
14C47×#563C22110yescomplemented
15C47×#563C2215yescomplemented
16C47×#563C22110yescomplemented
17C47×#563C2215yescomplemented
18C47×#562C2215yescomplemented
19C47×#562C22110yescomplemented
20C47×#562C22110yescomplemented
21C47×H(3,𝔽4)C22110yescomplemented
22C47×#559C22110yescomplemented
23C47×#559C2215yescomplemented
24Q82×C47C2215yescomplemented
25C47×#556C22110yescomplemented
26C47×#556C22110yescomplemented
27C47×#556C22120yescomplemented
28C47×#556C22110yescomplemented
29C47×#556C2215yescomplemented
30C47×#556C2215yescomplemented
31C47×#555C22110yescomplemented
32C47×#555C2215yescomplemented
33C47×#551C22120yescomplemented
34C47×#551C22120yescomplemented
35C47×#551C22120yescomplemented
36C47×#551C22120yescomplemented
37D4×Q8×C47C2215yescomplemented
38D4×Q8×C47C22110yescomplemented
39D4×Q8×C47C2215yescomplemented
40C47×#548C22110yescomplemented
41C47×#548C22110yescomplemented
42C47×#546C22110yescomplemented
43C47×#546C22120yescomplemented
44C47×#546C22110yescomplemented
45D42×C47C2215yescomplemented
46C47×#543C22110yescomplemented
47C47×#542C22120yescomplemented
48C47×#542C22120yescomplemented
49C47×#542C22110yescomplemented
50C47×#542C22110yescomplemented
51C47×#542C22120yescomplemented
52C47×#542C22110yescomplemented
53C47×#542C22110yescomplemented
54C47×#538C22110yescomplemented
55C47×#538C22120yescomplemented
56C47×#538C22120yescomplemented
57C47×#538C22110yescomplemented
58C47×#536C22120yescomplemented
59C47×#536C2215yescomplemented
60C47×#535C2215yes—
61C47×#534C22110yescomplemented
62C47×#533C2215yescomplemented
63C47×#533C2215yescomplemented
64C47×#533C22110yescomplemented
65C47×#532C2215yes—
66C47×#529C22110yescomplemented
67C47×#529C22110yescomplemented
68C47×#529C2215yescomplemented
69C47×#529C22110yescomplemented
70C47×#529C2215yescomplemented
71C47×#529C22110yescomplemented
72C2×#124×C47C22110yescomplemented
73C2×#124×C47C2215yescomplemented
74C47×#519C2215yescomplemented
75C47×#518C2215yescomplemented
76C4×#41×C47C2215yescomplemented
77C2×#41×C47C2315yes—
78C2×#41×C47C23110yes—
79C22×Q8×C47C2315yes—
80C22×Q8×C47C23110yes—
81C22×D4×C47C2315yes—
82C22×D4×C47C23110yes—
83C4⋊Q8×C47C2315yes—
84C4⋊Q8×C47C2315yes—
85C4⋊Q8×C47C23110yes—
86C4⋊Q8×C47C2315yes—
87C4⋊Q8×C47C2315yes—
88C4⋊Q8×C47C23110yes—
89C4⋊Q8×C47C2315yes—
90C4⋊Q8×C47C23120yes—
91#127×C47C2315yes—
92#126×C47C23110yes—
93#126×C47C23120yes—
94#126×C47C23120yes—
95#126×C47C23120yes—
96#126×C47C23120yes—
97#126×C47C23110yes—
98#126×C47C23120yes—
99#126×C47C23120yes—
100#125×C47C2315yes—
101#125×C47C2315yes—
102#125×C47C2315yes—
103#125×C47C2315yes—
104#125×C47C23110yes—
105#124×C47C2315yes—
106#124×C47C23110yes—
107#124×C47C23110yes—
108#124×C47C23110yes—
109#124×C47C23120yes—
110#124×C47C23110yes—
111#124×C47C23110yes—
112#124×C47C23120yes—
113#124×C47C23110yes—
114#124×C47C23110yes—
115#124×C47C2315yes—
116#124×C47C23120yes—
117#124×C47C23120yes—
118#124×C47C23120yes—
119#123×C47C23120yes—
120#123×C47C23120yes—
121#123×C47C23110yes—
122#123×C47C23120yes—
123#123×C47C23120yes—
124#123×C47C23110yes—
125#123×C47C23120yes—
126#123×C47C23120yes—
127#123×C47C23120yes—
128C22⋊Q8×C47C23110yes—
129C22⋊Q8×C47C23110yes—
130C22⋊Q8×C47C2315yes—
131C22⋊Q8×C47C23110yes—
132C22⋊Q8×C47C23110yes—
133C22⋊Q8×C47C2315yes—
134C22⋊Q8×C47C23110yes—
135C22⋊Q8×C47C23110yes—
136C22⋊Q8×C47C23120yes—
137C22⋊Q8×C47C23110yes—
138C22⋊Q8×C47C23120yes—
139C22⋊Q8×C47C23110yes—
140C22⋊Q8×C47C23120yes—
141C22⋊Q8×C47C23120yes—
142C22⋊Q8×C47C23120yes—
143C22⋊Q8×C47C23120yes—
144#121×C47C2315yes—
145#121×C47C23110yes—
146#121×C47C23110yes—
147#121×C47C23110yes—
148#121×C47C23110yes—
149#121×C47C2315yes—
150#121×C47C23110yes—
151#121×C47C23110yes—
152#121×C47C23120yes—
153#121×C47C23120yes—
154#120×C47C23120yes—
155#120×C47C23120yes—
156#120×C47C23120yes—
157C4×Q8×C47C2315yes—
158C4×Q8×C47C2315yes—
159C4×Q8×C47C23110yes—
160C4×Q8×C47C23110yes—
161C4×Q8×C47C23110yes—
162C4×Q8×C47C23110yes—
163C4×Q8×C47C2315yes—
164C4×Q8×C47C2315yes—
165C4×Q8×C47C23110yes—
166C4×Q8×C47C23110yes—
167C4×D4×C47C2315yes—
168C4×D4×C47C23110yes—
169C4×D4×C47C2315yes—
170C4×D4×C47C23110yes—
171C4×D4×C47C23110yes—
172C4×D4×C47C23110yes—
173C4×D4×C47C23110yes—
174C4×D4×C47C2315yes—
175C4×D4×C47C2315yes—
176C4×D4×C47C23110yes—
177C4×D4×C47C23110yes—
178C4×D4×C47C23120yes—
179C4×D4×C47C23120yes—
180C4×D4×C47C23110yes—
181#117×C47C2315yes—
182#117×C47C23110yes—
183#117×C47C2315yes—
184#117×C47C2315yes—
185#117×C47C23120yes—
186#117×C47C23110yes—
187#117×C47C23110yes—
188#117×C47C23120yes—
189#117×C47C23110yes—
190C2×C22⋊C4×C47C23120yes—
191C2×C22⋊C4×C47C23110yes—
192C2×C22⋊C4×C47C23120yes—
193C2×C22⋊C4×C47C23110yes—
194C2×C42×C47C23110yes—
195C2×C42×C47C2315yes—
196C24×C47C24110yes—
197#41×C47—410no—
198#41×C47—810no—
199C2×Q8×C47—410no—
200C2×Q8×C47—810no—
201C2×Q8×C47C2415yes—
202C2×Q8×C47C2415yes—
203C2×Q8×C47C24110yes—
204C2×Q8×C47C2415yes—
205C2×Q8×C47C24110yes—
206C2×Q8×C47C24110yes—
207C2×D4×C47—410no—
208C2×D4×C47—810no—
209C2×D4×C47C2415yes—
210C2×D4×C47C2415yes—
211C2×D4×C47C24110yes—
212C2×D4×C47C24110yes—
213C2×D4×C47C24110yes—
214C2×D4×C47C24120yes—
215C2×D4×C47C24110yes—
216C2×D4×C47C2415yes—
217C22×C4×C47C2415yes—
218C22×C4×C47C24110yes—
219C22×C4×C47C2415yes—
220C22×C4×C47C24110yes—
221C22×C4×C47C2415yes—
222C22×C4×C47C24110yes—
223C22×C4×C47C24110yes—
224C22×C4×C47C24120yes—
225C4⋊C4×C47C2411yescharacteristic
226C4⋊C4×C47C24110yes—
227C4⋊C4×C47C24110yes—
228C4⋊C4×C47C2415yes—
229C4⋊C4×C47C24110yes—
230C4⋊C4×C47C2415yes—
231C4⋊C4×C47C24110yes—
232C4⋊C4×C47C24110yes—
233C4⋊C4×C47C2415yes—
234C4⋊C4×C47C2415yes—
235C4⋊C4×C47C2415yes—
236C4⋊C4×C47C24110yes—
237C4⋊C4×C47C2415yes—
238C4⋊C4×C47C2415yes—
239C4⋊C4×C47C24120yes—
240C4⋊C4×C47C2415yes—
241C4⋊C4×C47C24110yes—
242C4⋊C4×C47C2415yes—
243C4⋊C4×C47C24120yes—
244C4⋊C4×C47C24110yes—
245C22⋊C4×C47C24110yes—
246C22⋊C4×C47C24110yes—
247C22⋊C4×C47C24110yes—
248C22⋊C4×C47C24110yes—
249C22⋊C4×C47C24120yes—
250C22⋊C4×C47C24120yes—
251C22⋊C4×C47C24120yes—
252C22⋊C4×C47C24120yes—
253C22⋊C4×C47C24120yes—
254C22⋊C4×C47C24120yes—
255C22⋊C4×C47C24120yes—
256C22⋊C4×C47C24110yes—
257C22⋊C4×C47C24110yes—
258C22⋊C4×C47C24110yes—
259C42×C47C2415yes—
260C42×C47C24110yes—
261C42×C47C24110yes—
262C42×C47C2415yes—
263C42×C47C2415yes—
264C42×C47C2415yes—
265C42×C47C24110yes—
266C42×C47C24120yes—
267C23×C47—410no—
268C23×C47—410no—
269C23×C47—410no—
270C23×C47C2515yes—
271C23×C47C25110yes—
272Q8×C47—210no—
273Q8×C47—410no—
274Q8×C47—45no—
275Q8×C47—410no—
276Q8×C47—410no—
277Q8×C47—45no—
278D4×C47—210no—
279D4×C47—410no—
280D4×C47—45no—
281D4×C47—410no—
282D4×C47—420no—
283D4×C47—45no—
284D4×C47—410no—
285D4×C47—410no—
286C2×C4×C47—210no—
287C2×C4×C47—410no—
288C2×C4×C47—45no—
289C2×C4×C47—410no—
290C2×C4×C47—410no—
291C2×C4×C47—420no—
292C2×C4×C47—410no—
293C2×C4×C47—45no—
294C2×C4×C47C2512yes—
295C2×C4×C47C2515yes—
296C2×C4×C47C2515yes—
297C2×C4×C47C25110yes—
298C2×C4×C47C2515yes—
299C2×C4×C47C25110yes—
300C2×C4×C47C2515yes—
301C2×C4×C47C2515yes—
302C2×C4×C47C2511yescharacteristic
303#63069C4711yesmaximal, characteristic, direct product factor, Sylow
304C22×C47—25no—
305C22×C47—210no—
306C22×C47—210no—
307C22×C47—25no—
308C22×C47—25no—
309C22×C47—210no—
310C22×C47—1610no—
311C22×C47C2611yescharacteristic
312C4×C47—25no—
313C4×C47—210no—
314C4×C47—25no—
315C4×C47—25no—
316C4×C47—210no—
317C4×C47—22no—
318C4×C47—25no—
319C4×C47—25no—
320C4×C47#58512yes—
321#3568C2×C47110yescomplemented
322#3561C2×C4715yescomplemented
323#3561C2×C47110yescomplemented
324#3558C2×C4715yescomplemented
325#3550C2×C4715yescomplemented
326#3545C2×C47110yescomplemented
327#3531C2×C4712yescomplemented
328#3531C2×C4711yescharacteristic, complemented
329#3518C2×C4715yescomplemented
330#3514C2×C4715yescomplemented
331#3510C2×C4715yescomplemented
332C2×C47—45no—
333C2×C47—410no—
334C2×C47C2×#58511yescharacteristic
335C2×C47H(7,𝔽2)11yescharacteristic
336C2×C472−1+611yescharacteristic
337#564C22×C4711yescharacteristic, complemented
338#563C22×C47110yescomplemented
339#563C22×C4715yescomplemented
340#563C22×C47110yescomplemented
341#563C22×C4715yescomplemented
342#563C22×C47110yescomplemented
343#562C22×C4715yescomplemented
344#562C22×C47110yescomplemented
345#562C22×C47110yescomplemented
346H(3,𝔽4)C22×C47110yescomplemented
347#559C22×C4715yescomplemented
348#559C22×C47110yescomplemented
349Q82C22×C4715yescomplemented
350#556C22×C4715yescomplemented
351#556C22×C47110yescomplemented
352#556C22×C4715yescomplemented
353#556C22×C47120yescomplemented
354#556C22×C47110yescomplemented
355#556C22×C47110yescomplemented
356#555C22×C4715yescomplemented
357#555C22×C47110yescomplemented
358#551C22×C47120yescomplemented
359#551C22×C47120yescomplemented
360#551C22×C47120yescomplemented
361#551C22×C47120yescomplemented
362D4×Q8C22×C4715yescomplemented
363D4×Q8C22×C4715yescomplemented
364D4×Q8C22×C47110yescomplemented
365#548C22×C47110yescomplemented
366#548C22×C47110yescomplemented
367#546C22×C47110yescomplemented
368#546C22×C47110yescomplemented
369#546C22×C47120yescomplemented
370D42C22×C4715yescomplemented
371#543C22×C47110yescomplemented
372#542C22×C47110yescomplemented
373#542C22×C47110yescomplemented
374#542C22×C47110yescomplemented
375#542C22×C47120yescomplemented
376#542C22×C47110yescomplemented
377#542C22×C47120yescomplemented
378#542C22×C47120yescomplemented
379#538C22×C47120yescomplemented
380#538C22×C47110yescomplemented
381#538C22×C47120yescomplemented
382#538C22×C47110yescomplemented
383#536C22×C4715yescomplemented
384#536C22×C47120yescomplemented
385#535C22×C4715yes—
386#534C22×C47110yescomplemented
387#533C22×C4715yescomplemented
388#533C22×C47110yescomplemented
389#533C22×C4715yescomplemented
390#532C22×C4715yes—
391#529C22×C47110yescomplemented
392#529C22×C47110yescomplemented
393#529C22×C4715yescomplemented
394#529C22×C47110yescomplemented
395#529C22×C4715yescomplemented
396#529C22×C47110yescomplemented
397C2×#124C22×C4715yescomplemented
398C2×#124C22×C47110yescomplemented
399#519C22×C4715yescomplemented
400#518C22×C4715yescomplemented
401C4×#41C22×C4715yescomplemented
402C47#6306911yescharacteristic, direct product factor, Sylow
403C2×#41C23×C4715yes—
404C2×#41C23×C47110yes—
405C22×Q8C23×C4715yes—
406C22×Q8C23×C47110yes—
407C22×D4C23×C4715yes—
408C22×D4C23×C47110yes—
409C4⋊Q8C23×C4715yes—
410C4⋊Q8C23×C4715yes—
411C4⋊Q8C23×C47110yes—
412C4⋊Q8C23×C4715yes—
413C4⋊Q8C23×C4715yes—
414C4⋊Q8C23×C47110yes—
415C4⋊Q8C23×C4715yes—
416C4⋊Q8C23×C47120yes—
417#127C23×C4715yes—
418#126C23×C47110yes—
419#126C23×C47120yes—
420#126C23×C47120yes—
421#126C23×C47120yes—
422#126C23×C47120yes—
423#126C23×C47110yes—
424#126C23×C47120yes—
425#126C23×C47120yes—
426#125C23×C4715yes—
427#125C23×C4715yes—
428#125C23×C4715yes—
429#125C23×C4715yes—
430#125C23×C47110yes—
431#124C23×C4715yes—
432#124C23×C47110yes—
433#124C23×C47110yes—
434#124C23×C47110yes—
435#124C23×C47120yes—
436#124C23×C47110yes—
437#124C23×C47110yes—
438#124C23×C47120yes—
439#124C23×C47110yes—
440#124C23×C47110yes—
441#124C23×C4715yes—
442#124C23×C47120yes—
443#124C23×C47120yes—
444#124C23×C47120yes—
445#123C23×C47120yes—
446#123C23×C47120yes—
447#123C23×C47110yes—
448#123C23×C47120yes—
449#123C23×C47120yes—
450#123C23×C47110yes—
451#123C23×C47120yes—
452#123C23×C47120yes—
453#123C23×C47120yes—
454C22⋊Q8C23×C47110yes—
455C22⋊Q8C23×C47110yes—
456C22⋊Q8C23×C4715yes—
457C22⋊Q8C23×C47110yes—
458C22⋊Q8C23×C47110yes—
459C22⋊Q8C23×C4715yes—
460C22⋊Q8C23×C47110yes—
461C22⋊Q8C23×C47110yes—
462C22⋊Q8C23×C47120yes—
463C22⋊Q8C23×C47110yes—
464C22⋊Q8C23×C47120yes—
465C22⋊Q8C23×C47110yes—
466C22⋊Q8C23×C47120yes—
467C22⋊Q8C23×C47120yes—
468C22⋊Q8C23×C47120yes—
469C22⋊Q8C23×C47120yes—
470#121C23×C4715yes—
471#121C23×C47110yes—
472#121C23×C47110yes—
473#121C23×C47110yes—
474#121C23×C47110yes—
475#121C23×C4715yes—
476#121C23×C47110yes—
477#121C23×C47110yes—
478#121C23×C47120yes—
479#121C23×C47120yes—
480#120C23×C47120yes—
481#120C23×C47120yes—
482#120C23×C47120yes—
483C4×Q8C23×C4715yes—
484C4×Q8C23×C4715yes—
485C4×Q8C23×C47110yes—
486C4×Q8C23×C47110yes—
487C4×Q8C23×C47110yes—
488C4×Q8C23×C47110yes—
489C4×Q8C23×C4715yes—
490C4×Q8C23×C4715yes—
491C4×Q8C23×C47110yes—
492C4×Q8C23×C47110yes—
493C4×D4C23×C4715yes—
494C4×D4C23×C47110yes—
495C4×D4C23×C4715yes—
496C4×D4C23×C47110yes—
497C4×D4C23×C47110yes—
498C4×D4C23×C47110yes—
499C4×D4C23×C47110yes—
500C4×D4C23×C4715yes—
501C4×D4C23×C4715yes—
502C4×D4C23×C47110yes—
503C4×D4C23×C47110yes—
504C4×D4C23×C47120yes—
505C4×D4C23×C47120yes—
506C4×D4C23×C47110yes—
507#117C23×C4715yes—
508#117C23×C47110yes—
509#117C23×C4715yes—
510#117C23×C4715yes—
511#117C23×C47120yes—
512#117C23×C47110yes—
513#117C23×C47110yes—
514#117C23×C47120yes—
515#117C23×C47110yes—
516C2×C22⋊C4C23×C47120yes—
517C2×C22⋊C4C23×C47110yes—
518C2×C22⋊C4C23×C47120yes—
519C2×C22⋊C4C23×C47110yes—
520C2×C42C23×C47110yes—
521C2×C42C23×C4715yes—
522C24C24×C47110yes—
523#41—410no—
524#41—810no—
525C2×Q8—410no—
526C2×Q8—810no—
527C2×Q8C24×C4715yes—
528C2×Q8C24×C4715yes—
529C2×Q8C24×C47110yes—
530C2×Q8C24×C4715yes—
531C2×Q8C24×C47110yes—
532C2×Q8C24×C47110yes—
533C2×D4—410no—
534C2×D4—810no—
535C2×D4C24×C4715yes—
536C2×D4C24×C4715yes—
537C2×D4C24×C47110yes—
538C2×D4C24×C47110yes—
539C2×D4C24×C47110yes—
540C2×D4C24×C47120yes—
541C2×D4C24×C47110yes—
542C2×D4C24×C4715yes—
543C22×C4C24×C4715yes—
544C22×C4C24×C47110yes—
545C22×C4C24×C4715yes—
546C22×C4C24×C47110yes—
547C22×C4C24×C4715yes—
548C22×C4C24×C47110yes—
549C22×C4C24×C47110yes—
550C22×C4C24×C47120yes—
551C4⋊C4C24×C4711yescharacteristic
552C4⋊C4C24×C47110yes—
553C4⋊C4C24×C47110yes—
554C4⋊C4C24×C4715yes—
555C4⋊C4C24×C47110yes—
556C4⋊C4C24×C4715yes—
557C4⋊C4C24×C47110yes—
558C4⋊C4C24×C47110yes—
559C4⋊C4C24×C4715yes—
560C4⋊C4C24×C4715yes—
561C4⋊C4C24×C4715yes—
562C4⋊C4C24×C47110yes—
563C4⋊C4C24×C4715yes—
564C4⋊C4C24×C4715yes—
565C4⋊C4C24×C47120yes—
566C4⋊C4C24×C4715yes—
567C4⋊C4C24×C47110yes—
568C4⋊C4C24×C4715yes—
569C4⋊C4C24×C47120yes—
570C4⋊C4C24×C47110yes—
571C22⋊C4C24×C47110yes—
572C22⋊C4C24×C47110yes—
573C22⋊C4C24×C47110yes—
574C22⋊C4C24×C47110yes—
575C22⋊C4C24×C47120yes—
576C22⋊C4C24×C47120yes—
577C22⋊C4C24×C47120yes—
578C22⋊C4C24×C47120yes—
579C22⋊C4C24×C47120yes—
580C22⋊C4C24×C47120yes—
581C22⋊C4C24×C47120yes—
582C22⋊C4C24×C47110yes—
583C22⋊C4C24×C47110yes—
584C22⋊C4C24×C47110yes—
585C42C24×C4715yes—
586C42C24×C47110yes—
587C42C24×C47110yes—
588C42C24×C4715yes—
589C42C24×C4715yes—
590C42C24×C4715yes—
591C42C24×C47110yes—
592C42C24×C47120yes—
593C23—410no—
594C23—410no—
595C23—410no—
596C23C25×C4715yes—
597C23C25×C47110yes—
598Q8—210no—
599Q8—410no—
600Q8—45no—
601Q8—410no—
602Q8—410no—
603Q8—45no—
604D4—210no—
605D4—410no—
606D4—45no—
607D4—410no—
608D4—420no—
609D4—45no—
610D4—410no—
611D4—410no—
612C2×C4—210no—
613C2×C4—410no—
614C2×C4—45no—
615C2×C4—410no—
616C2×C4—410no—
617C2×C4—420no—
618C2×C4—410no—
619C2×C4—45no—
620C2×C4C25×C4712yes—
621C2×C4C25×C4715yes—
622C2×C4C25×C4715yes—
623C2×C4C25×C47110yes—
624C2×C4C25×C4715yes—
625C2×C4C25×C47110yes—
626C2×C4C25×C4715yes—
627C2×C4C25×C4715yes—
628C2×C4C25×C4711yescharacteristic
629C22—25no—
630C22—210no—
631C22—210no—
632C22—25no—
633C22—25no—
634C22—210no—
635C22—1610no—
636C22C26×C4711yescharacteristic
637C4—25no—
638C4—210no—
639C4—25no—
640C4—25no—
641C4—210no—
642C4—22no—
643C4—25no—
644C4—25no—
645C4C47×#58512yes—
646C2—45no—
647C2—410no—
648C2C2×C47×#58511yescharacteristic
649C2C47×H(7,𝔽2)11yescharacteristic
650C2C47×2−1+611yescharacteristic
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×#3568C2semidirect
2. C47×#3561C2semidirect
3. C47×#3561C2semidirect
4. C47×#3558C2semidirect
5. C47×#3550C2semidirect
6. C47×#3545C2semidirect
7. C47×#3531C2semidirect
8. C47×#3531C2semidirect
9. C47×#3518C2semidirect
10. C47×#3514C2semidirect
11. C47×#3510C2semidirect
12. C47×#564C22semidirect
13. C47×#563C22semidirect
14. C47×#563C22semidirect
15. C47×#563C22semidirect
16. C47×#563C22semidirect
17. C47×#563C22semidirect
18. C47×#562C22semidirect
19. C47×#562C22semidirect
20. C47×#562C22semidirect
21. C47×H(3,𝔽4)C22semidirect
22. C47×#559C22semidirect
23. C47×#559C22semidirect
24. Q82×C47C22semidirect
25. C47×#556C22semidirect
26. C47×#556C22semidirect
27. C47×#556C22semidirect
28. C47×#556C22semidirect
29. C47×#556C22semidirect
30. C47×#556C22semidirect
31. C47×#555C22semidirect
32. C47×#555C22semidirect
33. C47×#551C22semidirect
34. C47×#551C22semidirect
35. C47×#551C22semidirect
36. C47×#551C22semidirect
37. D4×Q8×C47C22semidirect
38. D4×Q8×C47C22semidirect
39. D4×Q8×C47C22semidirect
40. C47×#548C22semidirect
41. C47×#548C22semidirect
42. C47×#546C22semidirect
43. C47×#546C22semidirect
44. C47×#546C22semidirect
45. D42×C47C22semidirect
46. C47×#543C22semidirect
47. C47×#542C22semidirect
48. C47×#542C22semidirect
49. C47×#542C22semidirect
50. C47×#542C22semidirect
51. C47×#542C22semidirect
52. C47×#542C22semidirect
53. C47×#542C22semidirect
54. C47×#538C22semidirect
55. C47×#538C22semidirect
56. C47×#538C22semidirect
57. C47×#538C22semidirect
58. C47×#536C22semidirect
59. C47×#536C22semidirect
61. C47×#534C22semidirect
62. C47×#533C22semidirect
63. C47×#533C22semidirect
64. C47×#533C22semidirect
66. C47×#529C22semidirect
67. C47×#529C22semidirect
68. C47×#529C22semidirect
69. C47×#529C22semidirect
70. C47×#529C22semidirect
71. C47×#529C22semidirect
72. C2×#124×C47C22semidirect
73. C2×#124×C47C22semidirect
74. C47×#519C22semidirect
75. C47×#518C22semidirect
76. C4×#41×C47C22semidirect
303. #63069C47direct (N × H)
321. #3568C2×C47semidirect
322. #3561C2×C47semidirect
323. #3561C2×C47semidirect
324. #3558C2×C47semidirect
325. #3550C2×C47semidirect
326. #3545C2×C47semidirect
327. #3531C2×C47semidirect
328. #3531C2×C47semidirect
329. #3518C2×C47semidirect
330. #3514C2×C47semidirect
331. #3510C2×C47semidirect
337. #564C22×C47semidirect
338. #563C22×C47semidirect
339. #563C22×C47semidirect
340. #563C22×C47semidirect
341. #563C22×C47semidirect
342. #563C22×C47semidirect
343. #562C22×C47semidirect
344. #562C22×C47semidirect
345. #562C22×C47semidirect
346. H(3,𝔽4)C22×C47semidirect
347. #559C22×C47semidirect
348. #559C22×C47semidirect
349. Q82C22×C47semidirect
350. #556C22×C47semidirect
351. #556C22×C47semidirect
352. #556C22×C47semidirect
353. #556C22×C47semidirect
354. #556C22×C47semidirect
355. #556C22×C47semidirect
356. #555C22×C47semidirect
357. #555C22×C47semidirect
358. #551C22×C47semidirect
359. #551C22×C47semidirect
360. #551C22×C47semidirect
361. #551C22×C47semidirect
362. D4×Q8C22×C47semidirect
363. D4×Q8C22×C47semidirect
364. D4×Q8C22×C47semidirect
365. #548C22×C47semidirect
366. #548C22×C47semidirect
367. #546C22×C47semidirect
368. #546C22×C47semidirect
369. #546C22×C47semidirect
370. D42C22×C47semidirect
371. #543C22×C47semidirect
372. #542C22×C47semidirect
373. #542C22×C47semidirect
374. #542C22×C47semidirect
375. #542C22×C47semidirect
376. #542C22×C47semidirect
377. #542C22×C47semidirect
378. #542C22×C47semidirect
379. #538C22×C47semidirect
380. #538C22×C47semidirect
381. #538C22×C47semidirect
382. #538C22×C47semidirect
383. #536C22×C47semidirect
384. #536C22×C47semidirect
386. #534C22×C47semidirect
387. #533C22×C47semidirect
388. #533C22×C47semidirect
389. #533C22×C47semidirect
391. #529C22×C47semidirect
392. #529C22×C47semidirect
393. #529C22×C47semidirect
394. #529C22×C47semidirect
395. #529C22×C47semidirect
396. #529C22×C47semidirect
397. C2×#124C22×C47semidirect
398. C2×#124C22×C47semidirect
399. #519C22×C47semidirect
400. #518C22×C47semidirect
401. C4×#41C22×C47semidirect
402. C47#63069direct (N × H)

Maximal subgroups

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

subgroupindex
C47×#35682
C47×#35612
C47×#35582
C47×#35502
C47×#35452
C47×#35312
C47×#35182
C47×#35142
C47×#35102
#6306947