Finite Group Databasebeta

← C2×#20257213 #27124756

Subgroups — C2×#20257213 #27124756

Order 12032.

6958 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257213C2132yesmaximal, direct product factor
2C2×#15689852C211yesmaximal, characteristic, complemented
3C2×#15689849C211yesmaximal, characteristic, complemented
4C2×#15689849C211yesmaximal, characteristic, complemented
5C2×#15689834C213yesmaximal, complemented
6C2×#15689833C213yesmaximal, complemented
7C2×#15689829C213yesmaximal, complemented
8C2×#15689829C213yesmaximal, complemented
9C2×#15689753C213yesmaximal, complemented
10C2×#15689750C213yesmaximal, complemented
11C2×#15689677C213yesmaximal, complemented
12C2×#125×D47C213yesmaximal, complemented
13C2×#15689605C211yesmaximal, characteristic
14C2×#15689605C211yesmaximal, characteristic
15C2×C4×#10625354C211yesmaximal, characteristic
16C2×C47×#557C211yesmaximal, characteristic, complemented
17C22×#10625354C2211yescharacteristic
18#15689852C22116yescomplemented
19#15689849C22116yescomplemented
20#15689849C22116yescomplemented
21#15689834C22148yescomplemented
22#15689833C22148yescomplemented
23#15689829C22148yescomplemented
24#15689829C22148yescomplemented
25#15689753C22148yescomplemented
26#15689750C22148yescomplemented
27#15689677C22148yescomplemented
28C2×#13094024C2213yes—
29C2×#13094023C2213yes—
30C2×#13094023C2213yes—
31C2×#13094023C2213yes—
32C2×#13094022C2213yes—
33C2×#13094016C2213yes—
34C2×#13094016C2213yes—
35C2×#13094015C2213yes—
36C2×#13094015C2213yes—
37C2×#13094015C2213yes—
38C2×#13094015C2213yes—
39C2×#13094014C2216yes—
40C2×#13094014C2213yes—
41C2×#13094014C2211yescharacteristic
42#125×D47C22148yescomplemented
43C2×#13094004C2216yes—
44C2×#13094004C2213yes—
45C2×#13094002C2216yes—
46C2×#13094002C2216yes—
47C2×#13094002C2213yes—
48C2×#13094002C2213yes—
49C2×#13094000C2216yes—
50C2×#13094000C2213yes—
51#15689605C22116yes—
52#15689605C22116yes—
53C4×#10625354C22116yes—
54C2×Q8×Dic47C2211yescharacteristic
55C2×Q8×Dic47C2211yescharacteristic
56C2×Q8×Dic47C2211yescharacteristic
57C2×C4×Dic94C2213yes—
58C2×C4×Dic94C2213yes—
59C2×C4×Dic94C2213yes—
60C2×C4×D188C2213yes—
61C2×C4×D188C2213yes—
62C2×C4×D188C2213yes—
63C2×#13093986C2213yes—
64C2×#13093986C2213yes—
65C2×#13093986C2213yes—
66C2×#13093982C2213yes—
67C2×#13093981C2213yes—
68C2×#13093981C2213yes—
69C2×C4⋊C4×D47C2213yes—
70C2×C4⋊C4×D47C2213yes—
71C2×C4⋊C4×D47C2216yes—
72C2×C4⋊C4×D47C2216yes—
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—
82C2×#10625354Q8116yescomplemented
83C2×#10625354C2318yes—
84C22×Dic94C2313yes—
85C22×Dic94C2313yes—
86C22×Dic94C2313yes—
87C22×D188C2313yes—
88C22×C4×D47C2313yes—
89C22×C4×D47C2313yes—
90C22×C4×D47C2316yes—
91C22×C4×D47C2316yes—
92C22×C4×D47C2313yes—
93#13094024C23124yes—
94#13094023C23124yes—
95#13094023C23124yes—
96#13094023C23124yes—
97#13094022C23124yes—
98#13094016C23124yes—
99#13094016C23124yes—
100#13094015C23124yes—
101#13094015C23124yes—
102#13094015C23124yes—
103#13094015C23124yes—
104#13094014C23148yes—
105#13094014C23124yes—
106#13094014C2318yes—
107#13094004C23148yes—
108#13094004C23124yes—
109#13094002C23148yes—
110#13094002C23148yes—
111#13094002C23124yes—
112#13094002C23124yes—
113#13094000C23148yes—
114#13094000C23124yes—
115Q8×Dic47C2318yes—
116Q8×Dic47C2318yes—
117Q8×Dic47C2318yes—
118C4×Dic94C23124yes—
119C4×Dic94C23124yes—
120C4×Dic94C23124yes—
121C4×D188C23124yes—
122C4×D188C23124yes—
123C4×D188C23124yes—
124#13093986C23124yes—
125#13093986C23124yes—
126#13093986C23124yes—
127#13093982C23124yes—
128#13093981C23124yes—
129#13093981C23124yes—
130C2×C4⋊Dic47C2313yes—
131C2×C4⋊Dic47C2313yes—
132C2×C4⋊Dic47C2313yes—
133C2×C4⋊Dic47C2316yes—
134C2×C4⋊Dic47C2313yes—
135C2×C4⋊Dic47C2311yescharacteristic
136C2×C4⋊Dic47C2313yes—
137C2×Dic47⋊C4C2313yes—
138C2×Dic47⋊C4C2313yes—
139C2×Dic47⋊C4C2313yes—
140C2×Dic47⋊C4C2313yes—
141C2×Dic47⋊C4C2316yes—
142C2×Dic47⋊C4C2316yes—
143C2×Dic47⋊C4C2311yescharacteristic
144C2×Dic47⋊C4C2311yescharacteristic
145C2×Dic47⋊C4C2311yescharacteristic
146C2×Dic47⋊C4C2311yescharacteristic
147C2×Dic47⋊C4C2313yes—
148C2×Dic47⋊C4C2313yes—
149C4⋊C4×D47C23124yes—
150C4⋊C4×D47C23124yes—
151C4⋊C4×D47C23148yes—
152C4⋊C4×D47C23148yes—
153C2×(C2×D47)⋊C4C2313yes—
154C2×(C2×D47)⋊C4C2313yes—
155C2×(C2×D47)⋊C4C2313yes—
156C2×(C2×D47)⋊C4C2313yes—
157C2×(C2×D47)⋊C4C2316yes—
158C2×C4×Dic47C2311yescharacteristic
159C2×C4×Dic47C2313yes—
160C2×C4×Dic47C2313yes—
161C2×C4×Dic47C2313yes—
162C2×C4×Dic47C2313yes—
163C42×D47C23124yes—
164C22×Q8×C47C2313yes—
165C22×Q8×C47C2311yescharacteristic
166C4⋊Q8×C47C23124yes—
167#125×C47C23124yes—
168#125×C47C23124yes—
169C4×Q8×C47C23124yes—
170C4×Q8×C47C2318yes—
171C4×Q8×C47C2318yes—
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×D47C2413yes—
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×Dic47C2411yescharacteristic
197C22×Dic47C2411yescharacteristic
198C22×Dic47C2413yes—
199C22×Dic47C2413yes—
200C22×Dic47C2413yes—
201C22×Dic47C2411yescharacteristic
202#10625354C2×Q8164yescomplemented
203C2×D188C2×Q8124yes—
204C2×D188C24112yes—
205C2×C4×D47—46no—
206C2×C4×D47—412no—
207C2×C4×D47—412no—
208C2×C4×D47—46no—
209C2×C4×D47C2×Q8124yes—
210C2×C4×D47C24112yes—
211C2×C4×D47C24112yes—
212C2×C4×D47C24124yes—
213C2×C4×D47C24124yes—
214C2×C4×D47C24112yes—
215C2×Dic94—46no—
216C2×Dic94—46no—
217C2×Dic94—46no—
218C2×Dic94C24112yes—
219C2×Dic94C24112yes—
220C2×Dic94C24112yes—
221C4⋊C4×C47C2414yes—
222C4⋊C4×C47C24112yes—
223C4⋊C4×C47C24112yes—
224C4⋊C4×C47C24112yes—
225C4⋊C4×C47C24112yes—
226C4⋊C4×C47C24112yes—
227C4⋊C4×C47C24124yes—
228C42×C47C24112yes—
229C42×C47C24112yes—
230C42×C47C24112yes—
231(C2×D47)⋊C4C24112yes—
232(C2×D47)⋊C4C24112yes—
233(C2×D47)⋊C4C24112yes—
234(C2×D47)⋊C4C24112yes—
235(C2×D47)⋊C4C24124yes—
236C4⋊Dic47C24112yes—
237C4⋊Dic47C24112yes—
238C4⋊Dic47C24112yes—
239C4⋊Dic47C24124yes—
240C4⋊Dic47C24112yes—
241C4⋊Dic47C2414yes—
242C4⋊Dic47C24112yes—
243Dic47⋊C4C24112yes—
244Dic47⋊C4C24112yes—
245Dic47⋊C4C24112yes—
246Dic47⋊C4C24112yes—
247Dic47⋊C4C24124yes—
248Dic47⋊C4C24124yes—
249Dic47⋊C4C2414yes—
250Dic47⋊C4C2414yes—
251Dic47⋊C4C2414yes—
252Dic47⋊C4C2414yes—
253Dic47⋊C4C24112yes—
254Dic47⋊C4C24112yes—
255C4×Dic47C2414yes—
256C4×Dic47C24112yes—
257C4×Dic47C24112yes—
258C4×Dic47C24112yes—
259C4×Dic47C24112yes—
260C23×C47C2511yescharacteristic
261C22×D47—26no—
262C22×D47—26no—
263C22×D47C22×Q8112yes—
264C22×D47C2516yes—
265Q8×C47—412no—
266Q8×C47C22×Q8116yes—
267C2×C4×C47—22no—
268C2×C4×C47—26no—
269C2×C4×C47—26no—
270C2×C4×C47—22no—
271C2×C4×C47—26no—
272C2×C4×C47—22no—
273C2×C4×C47C22×Q8112yes—
274C2×C4×C47C2512yes—
275C2×C4×C47C2516yes—
276C2×C4×C47C2512yes—
277C2×C4×C47C2516yes—
278C2×C4×C47C2516yes—
279C2×C4×C47C2512yes—
280C2×C4×C47C2516yes—
281C2×Dic47—22no—
282C2×Dic47—22no—
283C2×Dic47—26no—
284C2×Dic47—26no—
285C2×Dic47—26no—
286C2×Dic47—22no—
287C2×Dic47C22×Q814yes—
288C2×Dic47C2512yes—
289C2×Dic47C2512yes—
290C2×Dic47C2512yes—
291C2×Dic47C2516yes—
292C2×Dic47C2516yes—
293C2×Dic47C2516yes—
294C2×Dic47C2512yes—
295D188C22×Q8148yes—
296C4×D47—412no—
297C4×D47—424no—
298C4×D47—424no—
299C4×D47—412no—
300C4×D47C22×Q8148yes—
301Dic94—412no—
302Dic94—412no—
303Dic94—412no—
304C2×#3504—471nomaximal, Sylow
305C22×C47C23×Q812yes—
306C22×C47#58512yes—
307C22×C47#58512yes—
308C22×C47C2611yescharacteristic
309C2×D47—26no—
310C2×D47—26no—
311C2×D47—224no—
312C2×D47C23×Q8112yes—
313C4×C47—22no—
314C4×C47—26no—
315C4×C47—26no—
316C4×C47—22no—
317C4×C47—26no—
318C4×C47—22no—
319C4×C47C23×Q8112yes—
320Dic47—22no—
321Dic47—22no—
322Dic47—26no—
323Dic47—26no—
324Dic47—26no—
325Dic47—22no—
326Dic47C23×Q814yes—
327#3504—4732no—
328C2×#557—471no—
329C2×#557—471no—
330C2×#557—471no—
331C2×#557D4711yescharacteristic, complemented
332C2×#554—473no—
333C2×#554—473no—
334C2×#554—473no—
335C2×#554—473no—
336C2×#544—473no—
337C2×#544—473no—
338C2×#533—473no—
339C22×#125—473no—
340C2×#520—471no—
341C2×#520—471no—
342C2×C4×#41—471no—
343C2×C47#350414yescomplemented
344C2×C47C24×Q811yescharacteristic
345C2×C47C2×#58511yescharacteristic
346C2×C47C2×#58511yescharacteristic
347D47—212no—
348C22×#41—471no—
349#557—4716no—
350#557—4716no—
351#557—4716no—
352#557C2×D47116yescomplemented
353#554—4748no—
354#554—4748no—
355#554—4748no—
356#554—4748no—
357#544—4748no—
358#544—4748no—
359#533—4748no—
360C2×C4⋊Q8—473no—
361C2×C4⋊Q8—473no—
362C2×C4⋊Q8—473no—
363C2×C4⋊Q8—473no—
364C2×C4⋊Q8—473no—
365C2×C4⋊Q8C2×D4713yes—
366C2×#125—4748no—
367C2×#125—473no—
368C2×#125—476no—
369C2×#125—473no—
370C2×#125—473no—
371C2×#125—471no—
372C2×#125—473no—
373C2×#125—473no—
374C2×#125—473no—
375C2×#125—473no—
376C2×#125C2×D4713yes—
377C2×#125C2×D4713yes—
378C2×C22⋊Q8—473no—
379C2×C22⋊Q8—476no—
380C2×C22⋊Q8—473no—
381C2×C22⋊Q8—473no—
382C2×C22⋊Q8—473no—
383C2×C22⋊Q8—476no—
384C2×C22⋊Q8—476no—
385C2×C22⋊Q8—476no—
386#520—4716no—
387#520—4716no—
388C4×#41—4716no—
389C2×C4×Q8—471no—
390C2×C4×Q8—471no—
391C2×C4×Q8—471no—
392C2×C4×Q8—473no—
393C2×C4×Q8—473no—
394C2×C4×Q8—473no—
395C2×C4×Q8C2×D4711yescharacteristic
396C2×C4×Q8C2×D4711yescharacteristic
397C2×C4×Q8C2×D4711yescharacteristic
398C2×C4×Q8C2×D4713yes—
399C2×C4×D4—473no—
400C2×C4×D4—473no—
401C2×C4×D4—473no—
402C2×C4×D4—473no—
403C2×C4×D4—473no—
404C2×C4×D4—473no—
405C2×#117—473no—
406C2×#117—473no—
407C2×#117—473no—
408C22×C4⋊C4—473no—
409C22×C4⋊C4—473no—
410C22×C4⋊C4—476no—
411C22×C4⋊C4—476no—
412C22×C42—473no—
413C47C2×#350411yescharacteristic, complemented, Sylow
414C2×#41—4716no—
415C2×#41—478no—
416C22×Q8—473no—
417C22×Q8—473no—
418C22×Q8—473no—
419C22×Q8C22×D4713yes—
420C22×Q8C22×D4711yescharacteristic
421C22×D4—473no—
422C23×C4—473no—
423C23×C4—476no—
424C23×C4—476no—
425C23×C4—473no—
426C23×C4—473no—
427C4⋊Q8—4724no—
428C4⋊Q8—4724no—
429C4⋊Q8—4724no—
430C4⋊Q8—4724no—
431C4⋊Q8—4724no—
432C4⋊Q8C22×D47124yes—
433#125—4724no—
434#125—4748no—
435#125—4724no—
436#125—4724no—
437#125—478no—
438#125—4724no—
439#125—4724no—
440#125—4724no—
441#125—4724no—
442#125C22×D47124yes—
443#125C22×D47124yes—
444C22⋊Q8—4724no—
445C22⋊Q8—4748no—
446C22⋊Q8—4724no—
447C22⋊Q8—4724no—
448C22⋊Q8—4724no—
449C22⋊Q8—4748no—
450C22⋊Q8—4748no—
451C22⋊Q8—4748no—
452C4×Q8—478no—
453C4×Q8—478no—
454C4×Q8—478no—
455C4×Q8—4724no—
456C4×Q8—4724no—
457C4×Q8—4724no—
458C4×Q8C22×D4718yes—
459C4×Q8C22×D4718yes—
460C4×Q8C22×D4718yes—
461C4×Q8C22×D47124yes—
462C4×D4—4724no—
463C4×D4—4724no—
464C4×D4—4724no—
465C4×D4—4724no—
466C4×D4—4724no—
467C4×D4—4724no—
468#117—4724no—
469#117—4724no—
470#117—4724no—
471C2×C4⋊C4—473no—
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—476no—
479C2×C4⋊C4—476no—
480C2×C4⋊C4—476no—
481C2×C4⋊C4—471no—
482C2×C4⋊C4—471no—
483C2×C4⋊C4—473no—
484C2×C4⋊C4—471no—
485C2×C4⋊C4—471no—
486C2×C4⋊C4—471no—
487C2×C4⋊C4—473no—
488C2×C4⋊C4—473no—
489C2×C4⋊C4—473no—
490C2×C4⋊C4—4724no—
491C2×C4⋊C4—4724no—
492C2×C4⋊C4—4748no—
493C2×C4⋊C4—4748no—
494C2×C4⋊C4C22×D4713yes—
495C2×C4⋊C4C22×D4713yes—
496C2×C4⋊C4C22×D4713yes—
497C2×C4⋊C4C22×D4716yes—
498C2×C4⋊C4C22×D4713yes—
499C2×C4⋊C4C22×D4711yescharacteristic
500C2×C4⋊C4C22×D4713yes—
501C2×C22⋊C4—473no—
502C2×C22⋊C4—473no—
503C2×C22⋊C4—476no—
504C2×C22⋊C4—473no—
505C2×C22⋊C4—473no—
506C2×C42—473no—
507C2×C42—473no—
508C2×C42—473no—
509C2×C42—473no—
510C2×C42—471no—
511C2×C42—4724no—
512C2×C42C22×D4713yes—
513C2×C42C22×D4713yes—
514C2×C42C22×D4713yes—
515C24—473no—
516#41—4764no—
517C2×Q8—46no—
518C2×Q8—4712no—
519C2×Q8—4712no—
520C2×Q8—4712no—
521C2×Q8—1886no—
522C2×Q8—1886no—
523C2×Q8—1886no—
524C2×Q8Q8×D4718yes—
525C2×Q8C23×D47112yes—
526C2×Q8C23×D4714yes—
527C2×D4—4724no—
528C2×D4—4712no—
529C22×C4—471no—
530C22×C4—4724no—
531C22×C4—4712no—
532C22×C4—471no—
533C22×C4—471no—
534C22×C4—471no—
535C22×C4—473no—
536C22×C4—473no—
537C22×C4—473no—
538C22×C4—4712no—
539C22×C4—4712no—
540C22×C4—4724no—
541C22×C4—4724no—
542C22×C4—18812no—
543C22×C4—1886no—
544C22×C4—1886no—
545C22×C4—18812no—
546C22×C4C23×D4711yescharacteristic
547C22×C4C23×D4713yes—
548C22×C4C23×D4711yescharacteristic
549C22×C4C23×D4711yescharacteristic
550C22×C4C23×D4713yes—
551C22×C4C23×D4713yes—
552C22×C4C23×D4713yes—
553C4⋊C4—4712no—
554C4⋊C4—4712no—
555C4⋊C4—4712no—
556C4⋊C4—4712no—
557C4⋊C4—4724no—
558C4⋊C4—4724no—
559C4⋊C4—474no—
560C4⋊C4—474no—
561C4⋊C4—474no—
562C4⋊C4—474no—
563C4⋊C4—4712no—
564C4⋊C4—4712no—
565C4⋊C4—4712no—
566C4⋊C4—4712no—
567C4⋊C4—4712no—
568C4⋊C4—4724no—
569C4⋊C4—4712no—
570C4⋊C4—474no—
571C4⋊C4—4712no—
572C4⋊C4C23×D47112yes—
573C4⋊C4C23×D47112yes—
574C4⋊C4C23×D47112yes—
575C4⋊C4C23×D47124yes—
576C4⋊C4C23×D47112yes—
577C4⋊C4C23×D4714yes—
578C4⋊C4C23×D47112yes—
579C22⋊C4—4712no—
580C22⋊C4—4712no—
581C22⋊C4—4724no—
582C22⋊C4—4712no—
583C22⋊C4—4712no—
584C42—474no—
585C42—4712no—
586C42—4712no—
587C42—4712no—
588C42—4712no—
589C42C23×D47112yes—
590C42C23×D47112yes—
591C42C23×D47112yes—
592C23—4712no—
593C23—476no—
594C23—946no—
595C23—946no—
596C23C24×D4711yescharacteristic
597Q8—412no—
598Q8—18812no—
599Q8—18812no—
600Q8—18812no—
601Q8C2×Q8×D47116yes—
602D4—4748no—
603C2×C4—26no—
604C2×C4—26no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—26no—
608C2×C4—22no—
609C2×C4—474no—
610C2×C4—472no—
611C2×C4—4748no—
612C2×C4—472no—
613C2×C4—472no—
614C2×C4—472no—
615C2×C4—476no—
616C2×C4—476no—
617C2×C4—476no—
618C2×C4—942no—
619C2×C4—946no—
620C2×C4—942no—
621C2×C4—946no—
622C2×C4—946no—
623C2×C4—942no—
624C2×C4—18824no—
625C2×C4—18812no—
626C2×C4—18812no—
627C2×C4—18824no—
628C2×C4C2×Q8×D47112yes—
629C2×C4C24×D4712yes—
630C2×C4C24×D4716yes—
631C2×C4C24×D4712yes—
632C2×C4C24×D4712yes—
633C2×C4C24×D4716yes—
634C2×C4C24×D4716yes—
635C2×C4C24×D4716yes—
636C22—4712no—
637C22—946no—
638C22—946no—
639C22—9424no—
640C22C22×Q8×D4712yes—
641C22#1568995912yes—
642C22#1568996012yes—
643C22C25×D4711yescharacteristic
644C4—26no—
645C4—26no—
646C4—22no—
647C4—22no—
648C4—26no—
649C4—22no—
650C4—474no—
651C4—942no—
652C4—946no—
653C4—942no—
654C4—946no—
655C4—946no—
656C4—942no—
657C4C22×Q8×D47112yes—
658C2—9412no—
659C2#2025721314yesdirect product factor
660C2C23×Q8×D4711yescharacteristic
661C2C2×#1568995911yescharacteristic
662C2C2×#1568996011yescharacteristic
subgroupG/H
centerC23C24×D47
commutator, cosocleC22×C47C26
FrattiniC22C25×D47
FittingC2×C47×#557C2
socleC23×C47C25
prime radicalC22×#10625354C22
hypercenterC2×#557D47
hypocenterC47C2×#3504
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#557

Complements

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

NH ≅ G/Ntype
1. #20257213C2direct (N × H)
2. C2×#15689852C2semidirect
3. C2×#15689849C2semidirect
4. C2×#15689849C2semidirect
5. C2×#15689834C2semidirect
6. C2×#15689833C2semidirect
7. C2×#15689829C2semidirect
8. C2×#15689829C2semidirect
9. C2×#15689753C2semidirect
10. C2×#15689750C2semidirect
11. C2×#15689677C2semidirect
12. C2×#125×D47C2semidirect
16. C2×C47×#557C2semidirect
18. #15689852C22semidirect
19. #15689849C22semidirect
20. #15689849C22semidirect
21. #15689834C22semidirect
22. #15689833C22semidirect
23. #15689829C22semidirect
24. #15689829C22semidirect
25. #15689753C22semidirect
26. #15689750C22semidirect
27. #15689677C22semidirect
42. #125×D47C22semidirect
74. C47×#557C22semidirect
82. C2×#10625354Q8semidirect
202. #10625354C2×Q8semidirect
331. C2×#557D47semidirect
343. C2×C47#3504semidirect
352. #557C2×D47semidirect
413. C47C2×#3504semidirect
659. C2#20257213direct (N × H)

Maximal subgroups

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

subgroupindex
#202572132
C2×#156898522
C2×#156898492
C2×#156898342
C2×#156898332
C2×#156898292
C2×#156897532
C2×#156897502
C2×#156896772
C2×#125×D472
C2×#156896052
C2×C4×#106253542
C2×C47×#5572
C2×#350447