Finite Group Databasebeta

← C2×#20257195 #27124460

Subgroups — C2×#20257195 #27124460

Order 12032.

6826 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257195C2132yesmaximal, direct product factor
2C2×Q8×Dic94C211yesmaximal, characteristic, complemented
3C2×#15689853C213yesmaximal, complemented
4C2×#15689851C213yesmaximal, complemented
5C2×#15689850C213yesmaximal, complemented
6C2×#15689850C213yesmaximal, complemented
7C2×#15689849C211yesmaximal, characteristic, complemented
8C2×#15689849C211yesmaximal, characteristic, complemented
9C2×#15689753C213yesmaximal
10C2×#15689750C213yesmaximal
11C2×#15689679C213yesmaximal
12C2×#15689677C213yesmaximal
13C2×#15689599C211yesmaximal, characteristic
14C2×#15689599C211yesmaximal, characteristic
15C2×C4×Q8×D47C211yesmaximal, characteristic
16C2×C47×#557C211yesmaximal, characteristic, complemented
17C22×Q8×D47C2211yescharacteristic
18Q8×Dic94C22116yescomplemented
19#15689853C22148yescomplemented
20#15689851C22148yescomplemented
21#15689850C22148yescomplemented
22#15689850C22148yescomplemented
23#15689849C22116yescomplemented
24#15689849C22116yescomplemented
25#15689753C22148yes—
26#15689750C22148yes—
27#15689679C22148yes—
28#15689677C22148yes—
29C2×#13094024C2213yes—
30C2×#13094023C2213yes—
31C2×#13094023C2213yes—
32C2×#13094023C2216yes—
33C2×#13094023C2213yes—
34C2×#13094023C2213yes—
35C2×#13094023C2213yes—
36C2×#13094022C2216yes—
37C2×#13094022C2213yes—
38C2×#13094016C2213yes—
39C2×#13094016C2213yes—
40C2×#13094015C2213yes—
41C2×#13094015C2213yes—
42C2×#13094014C2216yes—
43C2×#13094014C2216yes—
44C2×#13094014C2213yes—
45C2×#13094014C2213yes—
46C2×#13094004C2213yes—
47C2×#13094002C2216yes—
48C2×#13094002C2211yescharacteristic
49C2×#13094002C2213yes—
50C2×#13094000C2213yes—
51#15689599C22116yes—
52#15689599C22116yes—
53C2×Q8×Dic47C2211yescharacteristic
54C2×Q8×Dic47C2211yescharacteristic
55C2×Q8×Dic47C2211yescharacteristic
56C2×C4×Dic94C2213yes—
57C2×C4×Dic94C2213yes—
58C2×C4×Dic94C2213yes—
59C2×C4×Dic94C2213yes—
60C2×C4×Dic94C2213yes—
61C2×C4×Dic94C2213yes—
62C2×#13093989C2213yes—
63C2×#13093989C2213yes—
64C2×#13093989C2213yes—
65C2×#13093989C2216yes—
66C2×#13093989C2216yes—
67C4×Q8×D47C22116yes—
68C2×#13093982C2213yes—
69C2×#13093982C2213yes—
70C2×#13093981C2213yes—
71C2×#13093981C2213yes—
72C2×C4⋊C4×D47C2213yes—
73C2×C42×D47C2213yes—
74C47×#557C22116yescomplemented
75C2×C4⋊Q8×C47C2213yes—
76C2×#125×C47C2213yes—
77C2×#125×C47C2213yes—
78C2×C4×Q8×C47C2211yescharacteristic
79C2×C4×Q8×C47C2211yescharacteristic
80C2×C4×Q8×C47C2211yescharacteristic
81C2×C4×Q8×C47C2213yes—
82C22×Dic94C2313yes—
83C22×Dic94C2311yescharacteristic
84C22×Dic94C2316yes—
85C22×Dic94C2313yes—
86C22×Dic94C2313yes—
87C2×Q8×D47Q8116yescomplemented
88C2×Q8×D47C2318yes—
89C22×C4×D47C2311yescharacteristic
90C22×C4×D47C2313yes—
91C22×C4×D47C2313yes—
92#13094024C23124yes—
93#13094023C23124yes—
94#13094023C23124yes—
95#13094023C23148yes—
96#13094023C23124yes—
97#13094023C23124yes—
98#13094023C23124yes—
99#13094022C23148yes—
100#13094022C23124yes—
101#13094016C23124yes—
102#13094016C23124yes—
103#13094015C23124yes—
104#13094015C23124yes—
105#13094014C23148yes—
106#13094014C23148yes—
107#13094014C23124yes—
108#13094014C23124yes—
109#13094004C23124yes—
110#13094002C23148yes—
111#13094002C2318yes—
112#13094002C23124yes—
113#13094000C23124yes—
114Q8×Dic47C2318yes—
115Q8×Dic47C2318yes—
116Q8×Dic47C2318yes—
117C4×Dic94C23124yes—
118C4×Dic94C23124yes—
119C4×Dic94C23124yes—
120C4×Dic94C23124yes—
121C4×Dic94C23124yes—
122C4×Dic94C23124yes—
123#13093989C23124yes—
124#13093989C23124yes—
125#13093989C23148yes—
126#13093989C23124yes—
127#13093989C23148yes—
128#13093982C23124yes—
129#13093982C23124yes—
130#13093981C23124yes—
131#13093981C23124yes—
132C2×C4⋊Dic47C2313yes—
133C2×C4⋊Dic47C2313yes—
134C2×C4⋊Dic47C2313yes—
135C2×C4⋊Dic47C2313yes—
136C2×C4⋊Dic47C2313yes—
137C2×C4⋊Dic47C2313yes—
138C2×Dic47⋊C4C2316yes—
139C2×Dic47⋊C4C2313yes—
140C2×Dic47⋊C4C2313yes—
141C2×Dic47⋊C4C2313yes—
142C2×Dic47⋊C4C2313yes—
143C2×Dic47⋊C4C2313yes—
144C2×Dic47⋊C4C2313yes—
145C2×Dic47⋊C4C2316yes—
146C2×Dic47⋊C4C2316yes—
147C2×Dic47⋊C4C2311yescharacteristic
148C2×Dic47⋊C4C2311yescharacteristic
149C2×Dic47⋊C4C2313yes—
150C2×Dic47⋊C4C2313yes—
151C4⋊C4×D47C23124yes—
152C2×(C2×D47)⋊C4C2311yescharacteristic
153C2×(C2×D47)⋊C4C2311yescharacteristic
154C2×(C2×D47)⋊C4C2313yes—
155C2×(C2×D47)⋊C4C2313yes—
156C2×C4×Dic47C2313yes—
157C2×C4×Dic47C2313yes—
158C2×C4×Dic47C2313yes—
159C2×C4×Dic47C2313yes—
160C2×C4×Dic47C2313yes—
161C2×C4×Dic47C2316yes—
162C2×C4×Dic47C2316yes—
163C42×D47C23124yes—
164C22×Q8×C47C2313yes—
165C22×Q8×C47C2311yescharacteristic
166C4⋊Q8×C47C23124yes—
167#125×C47C23124yes—
168#125×C47C23124yes—
169C4×Q8×C47C2318yes—
170C4×Q8×C47C2318yes—
171C4×Q8×C47C23124yes—
172C4×Q8×C47C2318yes—
173C2×C4⋊C4×C47C2311yescharacteristic
174C2×C4⋊C4×C47C2313yes—
175C2×C4⋊C4×C47C2313yes—
176C2×C4⋊C4×C47C2313yes—
177C2×C4⋊C4×C47C2313yes—
178C2×C4⋊C4×C47C2313yes—
179C2×C4⋊C4×C47C2316yes—
180C2×C42×C47C2313yes—
181C2×C42×C47C2313yes—
182C2×C42×C47C2313yes—
183C23×D47C2411yescharacteristic
184C2×Q8×C47—46no—
185C2×Q8×C47C2×Q818yes—
186C2×Q8×C47C24112yes—
187C2×Q8×C47C2414yes—
188C22×C4×C47C2411yescharacteristic
189C22×C4×C47C2411yescharacteristic
190C22×C4×C47C2411yescharacteristic
191C22×C4×C47C2413yes—
192C22×C4×C47C2413yes—
193C22×C4×C47C2413yes—
194C22×C4×C47C2413yes—
195C22×Dic47C2411yescharacteristic
196C22×Dic47C2413yes—
197C22×Dic47C2411yescharacteristic
198C22×Dic47C2413yes—
199C22×Dic47C2413yes—
200C22×Dic47C2413yes—
201C22×Dic47C2411yescharacteristic
202Q8×D47C2×Q8164yescomplemented
203C2×C4×D47—24no—
204C2×C4×D47—46no—
205C2×C4×D47C2×Q8124yes—
206C2×C4×D47C2414yes—
207C2×C4×D47C24112yes—
208C2×C4×D47C24112yes—
209C2×Dic94—212no—
210C2×Dic94—24no—
211C2×Dic94—46no—
212C2×Dic94—412no—
213C2×Dic94C2×Q8124yes—
214C2×Dic94C24112yes—
215C2×Dic94C2414yes—
216C2×Dic94C24124yes—
217C2×Dic94C24112yes—
218C2×Dic94C24112yes—
219C4⋊C4×C47C2414yes—
220C4⋊C4×C47C24112yes—
221C4⋊C4×C47C24112yes—
222C4⋊C4×C47C24112yes—
223C4⋊C4×C47C24112yes—
224C4⋊C4×C47C24112yes—
225C4⋊C4×C47C24124yes—
226C42×C47C24112yes—
227C42×C47C24112yes—
228C42×C47C24112yes—
229(C2×D47)⋊C4C2414yes—
230(C2×D47)⋊C4C2414yes—
231(C2×D47)⋊C4C24112yes—
232(C2×D47)⋊C4C24112yes—
233C4⋊Dic47C24112yes—
234C4⋊Dic47C24112yes—
235C4⋊Dic47C24112yes—
236C4⋊Dic47C24112yes—
237C4⋊Dic47C24112yes—
238C4⋊Dic47C24112yes—
239Dic47⋊C4C24124yes—
240Dic47⋊C4C24112yes—
241Dic47⋊C4C24112yes—
242Dic47⋊C4C24112yes—
243Dic47⋊C4C24112yes—
244Dic47⋊C4C24112yes—
245Dic47⋊C4C24112yes—
246Dic47⋊C4C24124yes—
247Dic47⋊C4C24124yes—
248Dic47⋊C4C2414yes—
249Dic47⋊C4C2414yes—
250Dic47⋊C4C24112yes—
251Dic47⋊C4C24112yes—
252C4×Dic47C24112yes—
253C4×Dic47C24112yes—
254C4×Dic47C24112yes—
255C4×Dic47C24112yes—
256C4×Dic47C24112yes—
257C4×Dic47C24124yes—
258C4×Dic47C24124yes—
259C23×C47C2511yescharacteristic
260C22×D47—22no—
261C22×D47—22no—
262C22×D47C22×Q814yes—
263C22×D47C2512yes—
264Q8×C47—412no—
265Q8×C47C22×Q8116yes—
266C2×C4×C47—22no—
267C2×C4×C47—26no—
268C2×C4×C47—22no—
269C2×C4×C47—26no—
270C2×C4×C47—26no—
271C2×C4×C47—22no—
272C2×C4×C47C22×Q8112yes—
273C2×C4×C47C2512yes—
274C2×C4×C47C2516yes—
275C2×C4×C47C2516yes—
276C2×C4×C47C2516yes—
277C2×C4×C47C2512yes—
278C2×C4×C47C2512yes—
279C2×C4×C47C2516yes—
280C2×Dic47—26no—
281C2×Dic47—22no—
282C2×Dic47—22no—
283C2×Dic47—26no—
284C2×Dic47—26no—
285C2×Dic47C22×Q8112yes—
286C2×Dic472−1+414yes—
287C2×Dic47C2512yes—
288C2×Dic47C2516yes—
289C2×Dic47C2512yes—
290C2×Dic47C2516yes—
291C2×Dic47C2516yes—
292C2×Dic47C2516yes—
293C2×Dic47C2512yes—
294C4×D47—28no—
295C4×D47—412no—
296C4×D47C22×Q8148yes—
297Dic94—224no—
298Dic94—28no—
299Dic94—412no—
300Dic94—424no—
301Dic94C22×Q8148yes—
302C2×#3502—471nomaximal, Sylow
303C22×C47C23×Q812yes—
304C22×C47C2×2−1+412yes—
305C22×C47#58512yes—
306C22×C47C2611yescharacteristic
307C2×D47—22no—
308C2×D47—22no—
309C2×D47—28no—
310C2×D47C23×Q814yes—
311C4×C47—26no—
312C4×C47—22no—
313C4×C47—22no—
314C4×C47—26no—
315C4×C47—26no—
316C4×C47—22no—
317C4×C47C23×Q8112yes—
318Dic47—26no—
319Dic47—22no—
320Dic47—22no—
321Dic47—26no—
322Dic47—26no—
323Dic47C23×Q8112yes—
324Dic47C2×2−1+414yes—
325#3502—4732no—
326C2×Q82—473no—
327C2×Q82—471no—
328C2×#557—473no—
329C2×#557—473no—
330C2×#557—471no—
331C2×#557—471no—
332C2×#557—473no—
333C2×#557D4711yescharacteristic, complemented
334C2×#544—473no—
335C2×#544—473no—
336C2×#533—473no—
337C2×#533—473no—
338C2×#519—471no—
339C2×#519—471no—
340C22×C4×Q8—471no—
341C2×C47#350214yescomplemented
342C2×C47C24×Q811yescharacteristic
343C2×C47C22×2−1+411yescharacteristic
344C2×C47C2×#58511yescharacteristic
345D47—24no—
346C23×Q8—471no—
347Q82—4748no—
348Q82—4716no—
349#557—4748no—
350#557—4748no—
351#557—4716no—
352#557—4716no—
353#557—4748no—
354#557C2×D47116yescomplemented
355#544—4748no—
356#544—4748no—
357#533—4748no—
358#533—4748no—
359C2×C4⋊Q8—473no—
360C2×C4⋊Q8—476no—
361C2×C4⋊Q8—473no—
362C2×C4⋊Q8—473no—
363C2×C4⋊Q8—473no—
364C2×C4⋊Q8—476no—
365C2×C4⋊Q8—473no—
366C2×C4⋊Q8—473no—
367C2×C4⋊Q8—473no—
368C2×C4⋊Q8C2×D4713yes—
369C2×#125—473no—
370C2×#125—473no—
371C2×#125—476no—
372C2×#125—476no—
373C2×#125—473no—
374C2×#125—473no—
375C2×#125—473no—
376C2×#125—473no—
377C2×#125C2×D4713yes—
378C2×#125C2×D4713yes—
379C2×C22⋊Q8—473no—
380C2×C22⋊Q8—473no—
381C2×C22⋊Q8—471no—
382C2×C22⋊Q8—476no—
383C2×C22⋊Q8—473no—
384#519—4716no—
385#519—4716no—
386C2×C4×Q8—471no—
387C2×C4×Q8—471no—
388C2×C4×Q8—471no—
389C2×C4×Q8—4716no—
390C2×C4×Q8—473no—
391C2×C4×Q8—473no—
392C2×C4×Q8—473no—
393C2×C4×Q8—476no—
394C2×C4×Q8—476no—
395C2×C4×Q8—473no—
396C2×C4×Q8—473no—
397C2×C4×Q8—473no—
398C2×C4×Q8—473no—
399C2×C4×Q8—473no—
400C2×C4×Q8—473no—
401C2×C4×Q8C2×D4711yescharacteristic
402C2×C4×Q8C2×D4711yescharacteristic
403C2×C4×Q8C2×D4711yescharacteristic
404C2×C4×Q8C2×D4713yes—
405C2×#117—473no—
406C2×#117—473no—
407C2×#117—473no—
408C2×#117—473no—
409C22×C4⋊C4—473no—
410C22×C42—473no—
411C47C2×#350211yescharacteristic, complemented, Sylow
412C22×Q8—4716no—
413C22×Q8—478no—
414C22×Q8—473no—
415C22×Q8—473no—
416C22×Q8—471no—
417C22×Q8—473no—
418C22×Q8—476no—
419C22×Q8C22×D4713yes—
420C22×Q8C22×D4711yescharacteristic
421C23×C4—473no—
422C23×C4—471no—
423C23×C4—473no—
424C4⋊Q8—4724no—
425C4⋊Q8—4748no—
426C4⋊Q8—4724no—
427C4⋊Q8—4724no—
428C4⋊Q8—4724no—
429C4⋊Q8—4748no—
430C4⋊Q8—4724no—
431C4⋊Q8—4724no—
432C4⋊Q8—4724no—
433C4⋊Q8C22×D47124yes—
434#125—4724no—
435#125—4724no—
436#125—4748no—
437#125—4748no—
438#125—4724no—
439#125—4724no—
440#125—4724no—
441#125—4724no—
442#125C22×D47124yes—
443#125C22×D47124yes—
444C22⋊Q8—4724no—
445C22⋊Q8—4724no—
446C22⋊Q8—478no—
447C22⋊Q8—4748no—
448C22⋊Q8—4724no—
449C4×Q8—478no—
450C4×Q8—478no—
451C4×Q8—478no—
452C4×Q8—4724no—
453C4×Q8—4724no—
454C4×Q8—4724no—
455C4×Q8—4748no—
456C4×Q8—4748no—
457C4×Q8—4724no—
458C4×Q8—4724no—
459C4×Q8—4724no—
460C4×Q8—4724no—
461C4×Q8—4724no—
462C4×Q8—4724no—
463C4×Q8C22×D4718yes—
464C4×Q8C22×D4718yes—
465C4×Q8C22×D4718yes—
466C4×Q8C22×D47124yes—
467#117—4724no—
468#117—4724no—
469#117—4724no—
470#117—4724no—
471C2×C4⋊C4—476no—
472C2×C4⋊C4—473no—
473C2×C4⋊C4—473no—
474C2×C4⋊C4—473no—
475C2×C4⋊C4—473no—
476C2×C4⋊C4—473no—
477C2×C4⋊C4—473no—
478C2×C4⋊C4—473no—
479C2×C4⋊C4—473no—
480C2×C4⋊C4—471no—
481C2×C4⋊C4—473no—
482C2×C4⋊C4—471no—
483C2×C4⋊C4—476no—
484C2×C4⋊C4—473no—
485C2×C4⋊C4—476no—
486C2×C4⋊C4—473no—
487C2×C4⋊C4—473no—
488C2×C4⋊C4—473no—
489C2×C4⋊C4—473no—
490C2×C4⋊C4—4724no—
491C2×C4⋊C4C22×D4713yes—
492C2×C4⋊C4C22×D4713yes—
493C2×C4⋊C4C22×D4713yes—
494C2×C4⋊C4C22×D4713yes—
495C2×C4⋊C4C22×D4716yes—
496C2×C4⋊C4C22×D4711yescharacteristic
497C2×C4⋊C4C22×D4713yes—
498C2×C22⋊C4—473no—
499C2×C22⋊C4—471no—
500C2×C22⋊C4—473no—
501C2×C22⋊C4—471no—
502C2×C42—476no—
503C2×C42—476no—
504C2×C42—473no—
505C2×C42—473no—
506C2×C42—473no—
507C2×C42—473no—
508C2×C42—473no—
509C2×C42—4724no—
510C2×C42C22×D4713yes—
511C2×C42C22×D4713yes—
512C2×C42C22×D4713yes—
513C24—471no—
514C2×Q8—46no—
515C2×Q8—4764no—
516C2×Q8—4724no—
517C2×Q8—4712no—
518C2×Q8—4712no—
519C2×Q8—474no—
520C2×Q8—4712no—
521C2×Q8—4724no—
522C2×Q8—9412no—
523C2×Q8—944no—
524C2×Q8—1886no—
525C2×Q8—18812no—
526C2×Q8Q8×D4718yes—
527C2×Q8C23×D47112yes—
528C2×Q8C23×D4714yes—
529C22×C4—473no—
530C22×C4—471no—
531C22×C4—4724no—
532C22×C4—4712no—
533C22×C4—471no—
534C22×C4—473no—
535C22×C4—471no—
536C22×C4—473no—
537C22×C4—473no—
538C22×C4—474no—
539C22×C4—4712no—
540C22×C4—944no—
541C22×C4—1886no—
542C22×C4C23×D4711yescharacteristic
543C22×C4C23×D4713yes—
544C22×C4C23×D4713yes—
545C22×C4C23×D4713yes—
546C22×C4C23×D4711yescharacteristic
547C22×C4C23×D4711yescharacteristic
548C22×C4C23×D4713yes—
549C4⋊C4—4724no—
550C4⋊C4—4712no—
551C4⋊C4—4712no—
552C4⋊C4—4712no—
553C4⋊C4—4712no—
554C4⋊C4—4712no—
555C4⋊C4—474no—
556C4⋊C4—4712no—
557C4⋊C4—474no—
558C4⋊C4—4724no—
559C4⋊C4—4724no—
560C4⋊C4—4712no—
561C4⋊C4—4712no—
562C4⋊C4—4712no—
563C4⋊C4—4712no—
564C4⋊C4—4712no—
565C4⋊C4—4712no—
566C4⋊C4—4712no—
567C4⋊C4—4712no—
568C4⋊C4C23×D47112yes—
569C4⋊C4C23×D47112yes—
570C4⋊C4C23×D47112yes—
571C4⋊C4C23×D47112yes—
572C4⋊C4C23×D47124yes—
573C4⋊C4C23×D4714yes—
574C4⋊C4C23×D47112yes—
575C22⋊C4—4712no—
576C22⋊C4—474no—
577C22⋊C4—4712no—
578C22⋊C4—474no—
579C42—4712no—
580C42—4712no—
581C42—4712no—
582C42—4724no—
583C42—4724no—
584C42—4712no—
585C42—4712no—
586C42C23×D47112yes—
587C42C23×D47112yes—
588C42C23×D47112yes—
589C23—474no—
590C23—472no—
591C23—942no—
592C23—942no—
593C23C24×D4711yescharacteristic
594Q8—412no—
595Q8—4748no—
596Q8—9424no—
597Q8—948no—
598Q8—18812no—
599Q8—18824no—
600Q8C2×Q8×D47116yes—
601C2×C4—22no—
602C2×C4—26no—
603C2×C4—22no—
604C2×C4—26no—
605C2×C4—22no—
606C2×C4—26no—
607C2×C4—4712no—
608C2×C4—474no—
609C2×C4—476no—
610C2×C4—472no—
611C2×C4—4748no—
612C2×C4—472no—
613C2×C4—476no—
614C2×C4—472no—
615C2×C4—476no—
616C2×C4—476no—
617C2×C4—948no—
618C2×C4—942no—
619C2×C4—946no—
620C2×C4—946no—
621C2×C4—942no—
622C2×C4—946no—
623C2×C4—18812no—
624C2×C4C2×Q8×D47112yes—
625C2×C4C24×D4712yes—
626C2×C4C24×D4716yes—
627C2×C4C24×D4716yes—
628C2×C4C24×D4716yes—
629C2×C4C24×D4712yes—
630C2×C4C24×D4712yes—
631C2×C4C24×D4716yes—
632C22—474no—
633C22—942no—
634C22—942no—
635C22—948no—
636C22C22×Q8×D4712yes—
637C222−1+4×D4712yes—
638C22#1568995912yes—
639C22C25×D4711yescharacteristic
640C4—22no—
641C4—26no—
642C4—22no—
643C4—26no—
644C4—22no—
645C4—26no—
646C4—4712no—
647C4—474no—
648C4—942no—
649C4—946no—
650C4—946no—
651C4—942no—
652C4—946no—
653C4C22×Q8×D47112yes—
654C2—944no—
655C2#2025719514yesdirect product factor
656C2C23×Q8×D4711yescharacteristic
657C2C2×2−1+4×D4711yescharacteristic
658C2C2×#1568995911yescharacteristic
subgroupG/H
centerC23C24×D47
commutator, cosocleC22×C47C26
FrattiniC22C25×D47
FittingC2×C47×#557C2
socleC23×C47C25
prime radicalC23×D47C24
hypercenterC2×#557D47
hypocenterC47C2×#3502
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#557

Complements

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

NH ≅ G/Ntype
1. #20257195C2direct (N × H)
2. C2×Q8×Dic94C2semidirect
3. C2×#15689853C2semidirect
4. C2×#15689851C2semidirect
5. C2×#15689850C2semidirect
6. C2×#15689850C2semidirect
7. C2×#15689849C2semidirect
8. C2×#15689849C2semidirect
16. C2×C47×#557C2semidirect
18. Q8×Dic94C22semidirect
19. #15689853C22semidirect
20. #15689851C22semidirect
21. #15689850C22semidirect
22. #15689850C22semidirect
23. #15689849C22semidirect
24. #15689849C22semidirect
74. C47×#557C22semidirect
87. C2×Q8×D47Q8semidirect
202. Q8×D47C2×Q8semidirect
333. C2×#557D47semidirect
341. C2×C47#3502semidirect
354. #557C2×D47semidirect
411. C47C2×#3502semidirect
655. C2#20257195direct (N × H)

Maximal subgroups

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

subgroupindex
#202571952
C2×Q8×Dic942
C2×#156898532
C2×#156898512
C2×#156898502
C2×#156898492
C2×#156897532
C2×#156897502
C2×#156896792
C2×#156896772
C2×#156895992
C2×C4×Q8×D472
C2×C47×#5572
C2×#350247