Finite Group Databasebeta

← #26234117

Subgroups — #26234117

Order 12032.

744 conjugacy classes of subgroups.

The subgroup lattice has 624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20244112C211yesmaximal, characteristic, complemented
2#20244107C211yesmaximal, characteristic, complemented
3#20243954C211yesmaximal, characteristic, complemented
4#20243947C211yesmaximal, characteristic, complemented
5#20243947C211yesmaximal, characteristic, complemented
6#20243947C211yesmaximal, characteristic, complemented
7#20243372C211yesmaximal, characteristic
8#20243372C211yesmaximal, characteristic
9#20243368C211yesmaximal, characteristic
10#20243263C211yesmaximal, characteristic, complemented
11C4⋊C4×C47⋊C8C211yesmaximal, characteristic, complemented
12#20243154C211yesmaximal, characteristic
13#20243154C211yesmaximal, characteristic
14C4×C22⋊(C47⋊C8)C211yesmaximal, characteristic
15C47×#2296C211yesmaximal, characteristic
16C2×C4⋊(C47⋊C8)C2211yescharacteristic
17C2×C4⋊(C47⋊C8)C2211yescharacteristic
18C2×C4⋊(C47⋊C8)C2211yescharacteristic
19C2×C4⋊(C47⋊C8)C2211yescharacteristic
20C2×C4⋊(C47⋊C8)C2211yescharacteristic
21C2×C4⋊(C47⋊C8)C2211yescharacteristic
22C2×C22⋊(C47⋊C8)C2211yescharacteristic
23C2×C22⋊(C47⋊C8)C2211yescharacteristic
24C2×C22⋊(C47⋊C8)C2211yescharacteristic
25C2×C22⋊(C47⋊C8)C2211yescharacteristic
26C2×#13093935C2211yescharacteristic
27C2×#13093935C2211yescharacteristic
28C2×C4×C47⋊C8C2211yescharacteristic
29C2×C4×C47⋊C8C2211yescharacteristic
30C2×C4×C47⋊C8C2211yescharacteristic
31C2×C4×C47⋊C8C2211yescharacteristic
32#15688878C2211yescharacteristic
33#15688878C2211yescharacteristic
34#15688878C2211yescharacteristic
35#15688878C2211yescharacteristic
36#15688878C2211yescharacteristic
37#15688878C2211yescharacteristic
38#15688878C2211yescharacteristic
39#15688878C2211yescharacteristic
40#15688878C2211yescharacteristic
41#15688878C2211yescharacteristic
42#15688878C2211yescharacteristic
43#15688878C2211yescharacteristic
44C2×#117×C47C2211yescharacteristic
45C2×#117×C47C2211yescharacteristic
46C22×C42×C47C2211yescharacteristic
47C47×#389C411yescharacteristic
48C47×#389C411yescharacteristic
49C47×#389C411yescharacteristic
50C47×#389C411yescharacteristic
51C47×#385C411yescharacteristic
52C47×#385C411yescharacteristic
53C47×#385C411yescharacteristic
54C47×#385C411yescharacteristic
55C4×C4⋊C4×C47C2211yescharacteristic
56C4×C4⋊C4×C47C2211yescharacteristic
57C4×C4⋊C4×C47C2211yescharacteristic
58C4×C4⋊C4×C47C2211yescharacteristic
59C22×C47⋊C8C2311yescharacteristic
60C22×C47⋊C8C2311yescharacteristic
61C22×C47⋊C8C2311yescharacteristic
62C22×C47⋊C8C2311yescharacteristic
63C22×C47⋊C8C2311yescharacteristic
64C22×C47⋊C8C2311yescharacteristic
65C22×C47⋊C8C2311yescharacteristic
66C22×C47⋊C8C2311yescharacteristic
67C4⋊(C47⋊C8)—22no—
68C4⋊(C47⋊C8)—22no—
69C4⋊(C47⋊C8)—41no—
70C4⋊(C47⋊C8)—41no—
71C4⋊(C47⋊C8)—41no—
72C4⋊(C47⋊C8)—41no—
73C22⋊(C47⋊C8)—22no—
74C22⋊(C47⋊C8)—22no—
75C22⋊(C47⋊C8)—22no—
76C22⋊(C47⋊C8)Q814yes—
77#13093935—22no—
78#13093935—41no—
79C4×C47⋊C8—22no—
80C4×C47⋊C8—41no—
81C4×C47⋊C8—41no—
82C4×C47⋊C8—41no—
83C23×C4×C47C2×C411yescharacteristic
84C23×C4×C47C2×C411yescharacteristic
85C23×C4×C47C2311yescharacteristic
86#117×C47—22no—
87#117×C47—22no—
88#117×C47—41no—
89#117×C47—41no—
90C2×C4⋊C4×C47C2×C411yescharacteristic
91C2×C4⋊C4×C47C2×C411yescharacteristic
92C2×C4⋊C4×C47C2×C411yescharacteristic
93C2×C4⋊C4×C47C2×C411yescharacteristic
94C2×C4⋊C4×C47C2×C411yescharacteristic
95C2×C4⋊C4×C47C2×C411yescharacteristic
96C2×C4⋊C4×C47C2×C411yescharacteristic
97C2×C4⋊C4×C47C2×C411yescharacteristic
98C2×C4⋊C4×C47C2×C411yescharacteristic
99C2×C4⋊C4×C47C2×C411yescharacteristic
100C2×C4⋊C4×C47C2×C411yescharacteristic
101C2×C4⋊C4×C47C2×C411yescharacteristic
102C2×C22⋊C4×C47C2×C411yescharacteristic
103C2×C22⋊C4×C47C2×C411yescharacteristic
104C2×C22⋊C4×C47C2×C411yescharacteristic
105C2×C22⋊C4×C47C2×C411yescharacteristic
106C2×C42×C47—41no—
107C2×C42×C47—41no—
108C2×C42×C47C2×C411yescharacteristic
109C2×C42×C47C2×C411yescharacteristic
110C2×C42×C47C2311yescharacteristic
111C2×C42×C47C2311yescharacteristic
112C2×C42×C47C2311yescharacteristic
113C2×C42×C47C2311yescharacteristic
114C2×C42×C47C2311yescharacteristic
115C2×C42×C47C2311yescharacteristic
116#95×C47C2×C411yescharacteristic
117#95×C47C2×C411yescharacteristic
118#95×C47C2×C411yescharacteristic
119#95×C47C2×C411yescharacteristic
120#95×C47C2×C411yescharacteristic
121#95×C47C2×C411yescharacteristic
122#95×C47C2×C411yescharacteristic
123#95×C47C2×C411yescharacteristic
124C24×C47C22×C411yescharacteristic
125C22×C4×C47—21no—
126C22×C4×C47—21no—
127C22×C4×C47—21no—
128C22×C4×C47—21no—
129C22×C4×C47—22no—
130C22×C4×C47—22no—
131C22×C4×C47—22no—
132C22×C4×C47—41no—
133C22×C4×C47—41no—
134C22×C4×C47—41no—
135C22×C4×C47C22×C411yescharacteristic
136C22×C4×C47C22×C411yescharacteristic
137C22×C4×C47C22×C411yescharacteristic
138C22×C4×C47C22×C411yescharacteristic
139C22×C4×C47C22×C411yescharacteristic
140C22×C4×C47C22×C411yescharacteristic
141C22×C4×C47C22×C411yescharacteristic
142C22×C4×C47C22×C411yescharacteristic
143C22×C4×C47C22×C411yescharacteristic
144C22×C4×C47C22×C411yescharacteristic
145C22×C4×C47C22×C411yescharacteristic
146C22×C4×C47C22×C411yescharacteristic
147C22×C4×C47C22×C411yescharacteristic
148C22×C4×C47C2×Q812yes—
149C22×C4×C47#4112yes—
150C22×C4×C47C2411yescharacteristic
151C4⋊C4×C47—22no—
152C4⋊C4×C47—22no—
153C4⋊C4×C47—22no—
154C4⋊C4×C47—22no—
155C4⋊C4×C47—22no—
156C4⋊C4×C47—22no—
157C4⋊C4×C47—22no—
158C4⋊C4×C47—22no—
159C4⋊C4×C47—41no—
160C4⋊C4×C47—41no—
161C4⋊C4×C47—41no—
162C4⋊C4×C47—41no—
163C22⋊C4×C47—22no—
164C22⋊C4×C47—22no—
165C22⋊C4×C47—41no—
166C22⋊C4×C47—41no—
167C42×C47—21no—
168C42×C47—21no—
169C42×C47—21no—
170C42×C47—21no—
171C42×C47—21no—
172C42×C47—21no—
173C42×C47—21no—
174C42×C47—21no—
175C42×C47—21no—
176C42×C47—21no—
177C42×C47—41no—
178C42×C47—41no—
179C42×C47#4112yes—
180C42×C47#4112yes—
181C2×C47⋊C8—21no—
182C2×C47⋊C8—21no—
183C2×C47⋊C8—21no—
184C2×C47⋊C8—21no—
185C2×C47⋊C8—21no—
186C2×C47⋊C8—21no—
187C2×C47⋊C8—21no—
188C2×C47⋊C8—21no—
189C2×C47⋊C8—21no—
190C2×C47⋊C8—21no—
191C2×C47⋊C8—21no—
192C2×C47⋊C8—21no—
193C2×C47⋊C8—21no—
194C2×C47⋊C8—21no—
195C2×C47⋊C8—21no—
196C2×C47⋊C8—21no—
197C2×C47⋊C8—21no—
198C2×C47⋊C8—21no—
199C2×C47⋊C8—21no—
200C2×C47⋊C8—21no—
201C2×C47⋊C8—21no—
202C2×C47⋊C8—21no—
203C2×C47⋊C8C2×Q812yes—
204C2×C47⋊C8C2×Q812yes—
205C23×C47—21no—
206C23×C47—21no—
207C23×C47—21no—
208C23×C47—21no—
209C23×C47—21no—
210C23×C47—21no—
211C23×C47C4×Q812yes—
212C23×C47C23×C411yescharacteristic
213C2×C4×C47—21no—
214C2×C4×C47—21no—
215C2×C4×C47—21no—
216C2×C4×C47—21no—
217C2×C4×C47—21no—
218C2×C4×C47—21no—
219C2×C4×C47—21no—
220C2×C4×C47—21no—
221C2×C4×C47—21no—
222C2×C4×C47—21no—
223C2×C4×C47—21no—
224C2×C4×C47—21no—
225C2×C4×C47—22no—
226C2×C4×C47—22no—
227C2×C4×C47—22no—
228C2×C4×C47—22no—
229C2×C4×C47—21no—
230C2×C4×C47—21no—
231C2×C4×C47—21no—
232C2×C4×C47—21no—
233C2×C4×C47—21no—
234C2×C4×C47—21no—
235C2×C4×C47—21no—
236C2×C4×C47—21no—
237C2×C4×C47—21no—
238C2×C4×C47—21no—
239C2×C4×C47—21no—
240C2×C4×C47—21no—
241C2×C4×C47—21no—
242C2×C4×C47—21no—
243C2×C4×C47—21no—
244C2×C4×C47—21no—
245C2×C4×C47—21no—
246C2×C4×C47—21no—
247C2×C4×C47—21no—
248C2×C4×C47—21no—
249C2×C4×C47—21no—
250C2×C4×C47—44no—
251C2×C4×C47—44no—
252C2×C4×C47#11712yes—
253C2×C4×C47#11712yes—
254C2×C4×C47C4×Q812yes—
255C2×C4×C47#13112yes—
256C2×C4×C47#13112yes—
257C2×C4×C47#13112yes—
258C2×C4×C47C22×Q811yescharacteristic
259C2×C4×C47C2×#4111yescharacteristic
260C2×C4×C47C2×#4111yescharacteristic
261C2×C4×C47C2×#4111yescharacteristic
262C2×C4×C47H(5,𝔽2)11yescharacteristic
263C2×C4×C47H(5,𝔽2)11yescharacteristic
264C47⋊C8—22no—
265C47⋊C8—22no—
266C47⋊C8—41no—
267C47⋊C8—41no—
268C47⋊C8—41no—
269C47⋊C8—41no—
270C47⋊C8—41no—
271C47⋊C8—41no—
272#22630—471nomaximal, Sylow
273C22×C47—22no—
274C22×C47—22no—
275C22×C47—22no—
276C22×C47—41no—
277C22×C47—41no—
278C22×C47—41no—
279C22×C47—41no—
280C22×C47C2×#11711yescharacteristic
281C22×C47C2×C4×Q811yescharacteristic
282C22×C47#51811yescharacteristic
283C22×C47C2×#13111yescharacteristic
284C22×C47C2×#13111yescharacteristic
285C22×C47C2×#13111yescharacteristic
286C22×C47#56811yescharacteristic
287C4×C47—22no—
288C4×C47—22no—
289C4×C47—22no—
290C4×C47—22no—
291C4×C47—22no—
292C4×C47—22no—
293C4×C47—41no—
294C4×C47—41no—
295C4×C47—41no—
296C4×C47—41no—
297C4×C47—41no—
298C4×C47—41no—
299C4×C47—41no—
300C4×C47#55311yescharacteristic
301C4×C47#55311yescharacteristic
302C4×C47#55411yescharacteristic
303C4×C47#55411yescharacteristic
304#2296D4711yescharacteristic
305#1940—471no—
306#1939—471no—
307#1917—471no—
308#1916—471no—
309#1916—471no—
310#1916—471no—
311#1798—471no—
312#1798—471no—
313#1797—471no—
314#1771—471no—
315C8×C4⋊C4—471no—
316#1750—471no—
317#1750—471no—
318C4×C22⋊C8—471no—
319C2×C47—42no—
320C2×C47#234511yescharacteristic
321C2×C47#292211yescharacteristic
322C2×C47#292511yescharacteristic
323C2×C47#296011yescharacteristic
324C2×C47#296211yescharacteristic
325C2×C47#297611yescharacteristic
326C2×C47#297711yescharacteristic
327C2×#117C2×D4711yescharacteristic
328C2×#117C2×D4711yescharacteristic
329C22×C42C2×D4711yescharacteristic
330C2×C4⋊C8—471no—
331C2×C4⋊C8—471no—
332C2×C4⋊C8—471no—
333C2×C4⋊C8—471no—
334C2×C4⋊C8—471no—
335C2×C4⋊C8—471no—
336C2×C22⋊C8—471no—
337C2×C22⋊C8—471no—
338C2×C22⋊C8—471no—
339C2×C22⋊C8—471no—
340C2×#97—471no—
341C2×#97—471no—
342C2×C4×C8—471no—
343C2×C4×C8—471no—
344C2×C4×C8—471no—
345C2×C4×C8—471no—
346#389Dic4711yescharacteristic
347#389Dic4711yescharacteristic
348#389Dic4711yescharacteristic
349#389Dic4711yescharacteristic
350#385Dic4711yescharacteristic
351#385Dic4711yescharacteristic
352#385Dic4711yescharacteristic
353#385Dic4711yescharacteristic
354C4×C4⋊C4C2×D4711yescharacteristic
355C4×C4⋊C4C2×D4711yescharacteristic
356C4×C4⋊C4C2×D4711yescharacteristic
357C4×C4⋊C4C2×D4711yescharacteristic
358#336—471no—
359#336—471no—
360#336—471no—
361#336—471no—
362#336—471no—
363#336—471no—
364#336—471no—
365#336—471no—
366#336—471no—
367#336—471no—
368#336—471no—
369#336—471no—
370C47#2263011yescharacteristic, complemented, Sylow
371C23×C4C2×Dic4711yescharacteristic
372C23×C4C2×Dic4711yescharacteristic
373C23×C4C22×D4711yescharacteristic
374C22×C8—471no—
375C22×C8—471no—
376C22×C8—471no—
377C22×C8—471no—
378C22×C8—471no—
379C22×C8—471no—
380C22×C8—471no—
381C22×C8—471no—
382#117—22no—
383#117—22no—
384#117—41no—
385#117—41no—
386C2×C4⋊C4C2×Dic4711yescharacteristic
387C2×C4⋊C4C2×Dic4711yescharacteristic
388C2×C4⋊C4C2×Dic4711yescharacteristic
389C2×C4⋊C4C2×Dic4711yescharacteristic
390C2×C4⋊C4C2×Dic4711yescharacteristic
391C2×C4⋊C4C2×Dic4711yescharacteristic
392C2×C4⋊C4C2×Dic4711yescharacteristic
393C2×C4⋊C4C2×Dic4711yescharacteristic
394C2×C4⋊C4C2×Dic4711yescharacteristic
395C2×C4⋊C4C2×Dic4711yescharacteristic
396C2×C4⋊C4C2×Dic4711yescharacteristic
397C2×C4⋊C4C2×Dic4711yescharacteristic
398C2×C22⋊C4C2×Dic4711yescharacteristic
399C2×C22⋊C4C2×Dic4711yescharacteristic
400C2×C22⋊C4C2×Dic4711yescharacteristic
401C2×C22⋊C4C2×Dic4711yescharacteristic
402C2×C42—41no—
403C2×C42—41no—
404C2×C42C2×Dic4711yescharacteristic
405C2×C42C2×Dic4711yescharacteristic
406C2×C42C22×D4711yescharacteristic
407C2×C42C22×D4711yescharacteristic
408C2×C42C22×D4711yescharacteristic
409C2×C42C22×D4711yescharacteristic
410C2×C42C22×D4711yescharacteristic
411C2×C42C22×D4711yescharacteristic
412C4⋊C8—942no—
413C4⋊C8—942no—
414C4⋊C8—1881no—
415C4⋊C8—1881no—
416C4⋊C8—1881no—
417C4⋊C8—1881no—
418C22⋊C8—474no—
419C22⋊C8—942no—
420C22⋊C8—942no—
421C22⋊C8—942no—
422#97—942no—
423#97—1881no—
424C4×C8—942no—
425C4×C8—1881no—
426C4×C8—1881no—
427C4×C8—1881no—
428#95C2×Dic4711yescharacteristic
429#95C2×Dic4711yescharacteristic
430#95C2×Dic4711yescharacteristic
431#95C2×Dic4711yescharacteristic
432#95C2×Dic4711yescharacteristic
433#95C2×Dic4711yescharacteristic
434#95C2×Dic4711yescharacteristic
435#95C2×Dic4711yescharacteristic
436C24C22×Dic4711yescharacteristic
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—41no—
445C22×C4—41no—
446C22×C4—41no—
447C22×C4Q8×D4712yes—
448C22×C4#1062535412yes—
449C22×C4C22×Dic4711yescharacteristic
450C22×C4C22×Dic4711yescharacteristic
451C22×C4C22×Dic4711yescharacteristic
452C22×C4C22×Dic4711yescharacteristic
453C22×C4C22×Dic4711yescharacteristic
454C22×C4C22×Dic4711yescharacteristic
455C22×C4C22×Dic4711yescharacteristic
456C22×C4C22×Dic4711yescharacteristic
457C22×C4C22×Dic4711yescharacteristic
458C22×C4C22×Dic4711yescharacteristic
459C22×C4C22×Dic4711yescharacteristic
460C22×C4C22×Dic4711yescharacteristic
461C22×C4C22×Dic4711yescharacteristic
462C22×C4C23×D4711yescharacteristic
463C2×C8—472no—
464C2×C8—472no—
465C2×C8—941no—
466C2×C8—941no—
467C2×C8—941no—
468C2×C8—941no—
469C2×C8—941no—
470C2×C8—941no—
471C2×C8—941no—
472C2×C8—941no—
473C2×C8—941no—
474C2×C8—941no—
475C2×C8—941no—
476C2×C8—941no—
477C2×C8—941no—
478C2×C8—941no—
479C2×C8—941no—
480C2×C8—941no—
481C2×C8—941no—
482C2×C8—941no—
483C2×C8—941no—
484C2×C8—941no—
485C2×C8—941no—
486C2×C8—941no—
487C4⋊C4—22no—
488C4⋊C4—22no—
489C4⋊C4—22no—
490C4⋊C4—22no—
491C4⋊C4—22no—
492C4⋊C4—22no—
493C4⋊C4—22no—
494C4⋊C4—22no—
495C4⋊C4—41no—
496C4⋊C4—41no—
497C4⋊C4—41no—
498C4⋊C4—41no—
499C22⋊C4—22no—
500C22⋊C4—22no—
501C22⋊C4—41no—
502C22⋊C4—41no—
503C42—21no—
504C42—21no—
505C42—21no—
506C42—21no—
507C42—21no—
508C42—21no—
509C42—21no—
510C42—21no—
511C42—21no—
512C42—21no—
513C42—41no—
514C42—41no—
515C42#1062535012yes—
516C42#1062535012yes—
517C23—21no—
518C23—21no—
519C23—21no—
520C23—21no—
521C23—21no—
522C23—21no—
523C23Q8×Dic4712yes—
524C23C23×Dic4711yescharacteristic
525C2×C4—21no—
526C2×C4—21no—
527C2×C4—21no—
528C2×C4—21no—
529C2×C4—21no—
530C2×C4—21no—
531C2×C4—21no—
532C2×C4—21no—
533C2×C4—21no—
534C2×C4—21no—
535C2×C4—21no—
536C2×C4—21no—
537C2×C4—22no—
538C2×C4—22no—
539C2×C4—22no—
540C2×C4—22no—
541C2×C4—21no—
542C2×C4—21no—
543C2×C4—21no—
544C2×C4—21no—
545C2×C4—21no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—44no—
563C2×C4—44no—
564C2×C4#1309398312yes—
565C2×C4#1309398312yes—
566C2×C4Q8×Dic4712yes—
567C2×C4#1309403112yes—
568C2×C4#1309403112yes—
569C2×C4#1309403112yes—
570C2×C4C2×Q8×D4711yescharacteristic
571C2×C4C2×#1062535011yescharacteristic
572C2×C4C2×#1062535011yescharacteristic
573C2×C4C2×#1062535411yescharacteristic
574C2×C4#1309406911yescharacteristic
575C2×C4#1309406911yescharacteristic
576C8—942no—
577C8—942no—
578C8—1881no—
579C8—1881no—
580C8—1881no—
581C8—1881no—
582C8—1881no—
583C8—1881no—
584C22—22no—
585C22—22no—
586C22—22no—
587C22—41no—
588C22—41no—
589C22—41no—
590C22—41no—
591C22C2×#1309398311yescharacteristic
592C22C2×Q8×Dic4711yescharacteristic
593C22#1568959811yescharacteristic
594C22C2×#1309403111yescharacteristic
595C22C2×#1309403111yescharacteristic
596C22C2×#1309403111yescharacteristic
597C22#1568989011yescharacteristic
598C4—22no—
599C4—22no—
600C4—22no—
601C4—22no—
602C4—22no—
603C4—22no—
604C4—41no—
605C4—41no—
606C4—41no—
607C4—41no—
608C4—41no—
609C4—41no—
610C4—41no—
611C4#1568982111yescharacteristic
612C4#1568982111yescharacteristic
613C4#1568982811yescharacteristic
614C4#1568982811yescharacteristic
615C2—42no—
616C2#2024626511yescharacteristic
617C2#2025203211yescharacteristic
618C2#2025205411yescharacteristic
619C2#2025232311yescharacteristic
620C2#2025233711yescharacteristic
621C2#2025243611yescharacteristic
622C2#2025244411yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D47
commutator, socleC23×C47C23×C4
FittingC47×#2296C2
prime radicalC24×C47C22×C4
cosocleC22×C4×C47C24
hypercenter#2296D47
hypocenterC47#22630
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ #2296

Complements

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

NH ≅ G/Ntype
1. #20244112C2semidirect
2. #20244107C2semidirect
3. #20243954C2semidirect
4. #20243947C2semidirect
5. #20243947C2semidirect
6. #20243947C2semidirect
10. #20243263C2semidirect
11. C4⋊C4×C47⋊C8C2semidirect
370. C47#22630semidirect

Maximal subgroups

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

subgroupindex
#202441122
#202441072
#202439542
#202439472
#202433722
#202433682
#202432632
C4⋊C4×C47⋊C82
#202431542
C4×C22⋊(C47⋊C8)2
C47×#22962
#2263047