Finite Group Databasebeta

← C2×#21459644 #30588491

Subgroups — C2×#21459644 #30588491

Order 15616.

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#21459644C2132yesmaximal, direct product factor
2C2×#16840491C211yesmaximal, characteristic, complemented
3C2×#16840488C211yesmaximal, characteristic, complemented
4C2×#16840488C211yesmaximal, characteristic, complemented
5C2×#16840473C213yesmaximal, complemented
6C2×#16840472C213yesmaximal, complemented
7C2×#16840468C213yesmaximal, complemented
8C2×#16840468C213yesmaximal, complemented
9C2×#16840392C213yesmaximal, complemented
10C2×#16840389C213yesmaximal, complemented
11C2×#16840316C213yesmaximal, complemented
12C2×#125×D61C213yesmaximal, complemented
13C2×#16840244C211yesmaximal, characteristic
14C2×#16840244C211yesmaximal, characteristic
15C2×C4×#11758226C211yesmaximal, characteristic
16C2×C61×#557C211yesmaximal, characteristic, complemented
17C22×#11758226C2211yescharacteristic
18#16840491C22116yescomplemented
19#16840488C22116yescomplemented
20#16840488C22116yescomplemented
21#16840473C22148yescomplemented
22#16840472C22148yescomplemented
23#16840468C22148yescomplemented
24#16840468C22148yescomplemented
25#16840392C22148yescomplemented
26#16840389C22148yescomplemented
27#16840316C22148yescomplemented
28C2×#14519777C2213yes—
29C2×#14519776C2213yes—
30C2×#14519776C2213yes—
31C2×#14519776C2213yes—
32C2×#14519775C2213yes—
33C2×#14519769C2213yes—
34C2×#14519769C2213yes—
35C2×#14519768C2213yes—
36C2×#14519768C2213yes—
37C2×#14519768C2213yes—
38C2×#14519768C2213yes—
39C2×#14519767C2216yes—
40C2×#14519767C2213yes—
41C2×#14519767C2211yescharacteristic
42#125×D61C22148yescomplemented
43C2×#14519757C2216yes—
44C2×#14519757C2213yes—
45C2×#14519755C2216yes—
46C2×#14519755C2216yes—
47C2×#14519755C2213yes—
48C2×#14519755C2213yes—
49C2×#14519753C2216yes—
50C2×#14519753C2213yes—
51#16840244C22116yes—
52#16840244C22116yes—
53C4×#11758226C22116yes—
54C2×Q8×Dic61C2211yescharacteristic
55C2×Q8×Dic61C2211yescharacteristic
56C2×Q8×Dic61C2211yescharacteristic
57C2×C4×Dic122C2213yes—
58C2×C4×Dic122C2213yes—
59C2×C4×Dic122C2213yes—
60C2×C4×D244C2213yes—
61C2×C4×D244C2213yes—
62C2×C4×D244C2213yes—
63C2×#14519739C2213yes—
64C2×#14519739C2213yes—
65C2×#14519739C2213yes—
66C2×#14519735C2213yes—
67C2×#14519734C2213yes—
68C2×#14519734C2213yes—
69C2×C4⋊C4×D61C2213yes—
70C2×C4⋊C4×D61C2213yes—
71C2×C4⋊C4×D61C2216yes—
72C2×C4⋊C4×D61C2216yes—
73C2×C42×D61C2213yes—
74C61×#557C22116yescomplemented
75C2×C4⋊Q8×C61C2213yes—
76C2×#125×C61C2213yes—
77C2×#125×C61C2213yes—
78C2×C4×Q8×C61C2211yescharacteristic
79C2×C4×Q8×C61C2211yescharacteristic
80C2×C4×Q8×C61C2211yescharacteristic
81C2×C4×Q8×C61C2213yes—
82C2×#11758226Q8116yescomplemented
83C2×#11758226C2318yes—
84C22×Dic122C2313yes—
85C22×Dic122C2313yes—
86C22×Dic122C2313yes—
87C22×D244C2313yes—
88C22×C4×D61C2313yes—
89C22×C4×D61C2313yes—
90C22×C4×D61C2316yes—
91C22×C4×D61C2316yes—
92C22×C4×D61C2313yes—
93#14519777C23124yes—
94#14519776C23124yes—
95#14519776C23124yes—
96#14519776C23124yes—
97#14519775C23124yes—
98#14519769C23124yes—
99#14519769C23124yes—
100#14519768C23124yes—
101#14519768C23124yes—
102#14519768C23124yes—
103#14519768C23124yes—
104#14519767C23124yes—
105#14519767C23148yes—
106#14519767C2318yes—
107#14519757C23124yes—
108#14519757C23148yes—
109#14519755C23124yes—
110#14519755C23148yes—
111#14519755C23148yes—
112#14519755C23124yes—
113#14519753C23148yes—
114#14519753C23124yes—
115Q8×Dic61C2318yes—
116Q8×Dic61C2318yes—
117Q8×Dic61C2318yes—
118C4×Dic122C23124yes—
119C4×Dic122C23124yes—
120C4×Dic122C23124yes—
121C4×D244C23124yes—
122C4×D244C23124yes—
123C4×D244C23124yes—
124#14519739C23124yes—
125#14519739C23124yes—
126#14519739C23124yes—
127#14519735C23124yes—
128#14519734C23124yes—
129#14519734C23124yes—
130C2×C4⋊Dic61C2313yes—
131C2×C4⋊Dic61C2313yes—
132C2×C4⋊Dic61C2313yes—
133C2×C4⋊Dic61C2316yes—
134C2×C4⋊Dic61C2313yes—
135C2×C4⋊Dic61C2311yescharacteristic
136C2×C4⋊Dic61C2313yes—
137C2×#11758196C2313yes—
138C2×#11758196C2313yes—
139C2×#11758196C2313yes—
140C2×#11758196C2313yes—
141C2×#11758196C2316yes—
142C2×#11758196C2316yes—
143C2×#11758196C2311yescharacteristic
144C2×#11758196C2311yescharacteristic
145C2×#11758196C2311yescharacteristic
146C2×#11758196C2311yescharacteristic
147C2×#11758196C2313yes—
148C2×#11758196C2313yes—
149C4⋊C4×D61C23148yes—
150C4⋊C4×D61C23148yes—
151C4⋊C4×D61C23124yes—
152C4⋊C4×D61C23124yes—
153C2×#11758198C2313yes—
154C2×#11758198C2313yes—
155C2×#11758198C2313yes—
156C2×#11758198C2313yes—
157C2×#11758198C2316yes—
158C2×C4×Dic61C2311yescharacteristic
159C2×C4×Dic61C2313yes—
160C2×C4×Dic61C2313yes—
161C2×C4×Dic61C2313yes—
162C2×C4×Dic61C2313yes—
163C42×D61C23124yes—
164C22×Q8×C61C2313yes—
165C22×Q8×C61C2311yescharacteristic
166C4⋊Q8×C61C23124yes—
167#125×C61C23124yes—
168#125×C61C23124yes—
169C4×Q8×C61C23124yes—
170C4×Q8×C61C2318yes—
171C4×Q8×C61C2318yes—
172C4×Q8×C61C2318yes—
173C2×C4⋊C4×C61C2313yes—
174C2×C4⋊C4×C61C2316yes—
175C2×C4⋊C4×C61C2313yes—
176C2×C4⋊C4×C61C2313yes—
177C2×C4⋊C4×C61C2313yes—
178C2×C4⋊C4×C61C2311yescharacteristic
179C2×C4⋊C4×C61C2313yes—
180C2×C42×C61C2313yes—
181C2×C42×C61C2313yes—
182C2×C42×C61C2313yes—
183C23×D61C2413yes—
184C2×Q8×C61—46no—
185C2×Q8×C61C2×Q818yes—
186C2×Q8×C61C24112yes—
187C2×Q8×C61C2414yes—
188C22×C4×C61C2411yescharacteristic
189C22×C4×C61C2413yes—
190C22×C4×C61C2413yes—
191C22×C4×C61C2413yes—
192C22×C4×C61C2411yescharacteristic
193C22×C4×C61C2411yescharacteristic
194C22×C4×C61C2413yes—
195C22×Dic61C2411yescharacteristic
196C22×Dic61C2413yes—
197C22×Dic61C2413yes—
198C22×Dic61C2413yes—
199C22×Dic61C2411yescharacteristic
200C22×Dic61C2411yescharacteristic
201C22×Dic61C2411yescharacteristic
202#11758226C2×Q8164yescomplemented
203C2×D244C2×Q8124yes—
204C2×D244C24112yes—
205C2×C4×D61—46no—
206C2×C4×D61—412no—
207C2×C4×D61—412no—
208C2×C4×D61—46no—
209C2×C4×D61C2×Q8124yes—
210C2×C4×D61C24112yes—
211C2×C4×D61C24112yes—
212C2×C4×D61C24124yes—
213C2×C4×D61C24124yes—
214C2×C4×D61C24112yes—
215C2×Dic122—46no—
216C2×Dic122—46no—
217C2×Dic122—46no—
218C2×Dic122C24112yes—
219C2×Dic122C24112yes—
220C2×Dic122C24112yes—
221C4⋊C4×C61C2414yes—
222C4⋊C4×C61C24112yes—
223C4⋊C4×C61C24112yes—
224C4⋊C4×C61C24112yes—
225C4⋊C4×C61C24112yes—
226C4⋊C4×C61C24112yes—
227C4⋊C4×C61C24124yes—
228C42×C61C24112yes—
229C42×C61C24112yes—
230C42×C61C24112yes—
231#11758198C24112yes—
232#11758198C24112yes—
233#11758198C24112yes—
234#11758198C24112yes—
235#11758198C24124yes—
236C4⋊Dic61C24112yes—
237C4⋊Dic61C24112yes—
238C4⋊Dic61C24112yes—
239C4⋊Dic61C24124yes—
240C4⋊Dic61C24112yes—
241C4⋊Dic61C2414yes—
242C4⋊Dic61C24112yes—
243#11758196C24112yes—
244#11758196C24112yes—
245#11758196C24112yes—
246#11758196C24112yes—
247#11758196C24124yes—
248#11758196C24124yes—
249#11758196C2414yes—
250#11758196C2414yes—
251#11758196C2414yes—
252#11758196C2414yes—
253#11758196C24112yes—
254#11758196C24112yes—
255C4×Dic61C2414yes—
256C4×Dic61C24112yes—
257C4×Dic61C24112yes—
258C4×Dic61C24112yes—
259C4×Dic61C24112yes—
260C23×C61C2511yescharacteristic
261C22×D61—26no—
262C22×D61—26no—
263C22×D61C22×Q8112yes—
264C22×D61C2516yes—
265Q8×C61—412no—
266Q8×C61C22×Q8116yes—
267C2×C4×C61—22no—
268C2×C4×C61—26no—
269C2×C4×C61—26no—
270C2×C4×C61—22no—
271C2×C4×C61—26no—
272C2×C4×C61—22no—
273C2×C4×C61C22×Q8112yes—
274C2×C4×C61C2512yes—
275C2×C4×C61C2516yes—
276C2×C4×C61C2512yes—
277C2×C4×C61C2516yes—
278C2×C4×C61C2516yes—
279C2×C4×C61C2512yes—
280C2×C4×C61C2516yes—
281C2×Dic61—22no—
282C2×Dic61—22no—
283C2×Dic61—26no—
284C2×Dic61—26no—
285C2×Dic61—26no—
286C2×Dic61—22no—
287C2×Dic61C22×Q814yes—
288C2×Dic61C2512yes—
289C2×Dic61C2512yes—
290C2×Dic61C2512yes—
291C2×Dic61C2516yes—
292C2×Dic61C2516yes—
293C2×Dic61C2516yes—
294C2×Dic61C2512yes—
295D244C22×Q8148yes—
296C4×D61—412no—
297C4×D61—424no—
298C4×D61—424no—
299C4×D61—412no—
300C4×D61C22×Q8148yes—
301Dic122—412no—
302Dic122—412no—
303Dic122—412no—
304C2×#3504—611nomaximal, Sylow
305C22×C61C23×Q812yes—
306C22×C61#58512yes—
307C22×C61#58512yes—
308C22×C61C2611yescharacteristic
309C2×D61—26no—
310C2×D61—26no—
311C2×D61—224no—
312C2×D61C23×Q8112yes—
313C4×C61—22no—
314C4×C61—26no—
315C4×C61—26no—
316C4×C61—22no—
317C4×C61—26no—
318C4×C61—22no—
319C4×C61C23×Q8112yes—
320Dic61—22no—
321Dic61—22no—
322Dic61—26no—
323Dic61—26no—
324Dic61—26no—
325Dic61—22no—
326Dic61C23×Q814yes—
327#3504—6132no—
328C2×#557—611no—
329C2×#557—611no—
330C2×#557—611no—
331C2×#557D6111yescharacteristic, complemented
332C2×#554—613no—
333C2×#554—613no—
334C2×#554—613no—
335C2×#554—613no—
336C2×#544—613no—
337C2×#544—613no—
338C2×#533—613no—
339C22×#125—613no—
340C2×#520—611no—
341C2×#520—611no—
342C2×C4×#41—611no—
343C2×C61#350414yescomplemented
344C2×C61C24×Q811yescharacteristic
345C2×C61C2×#58511yescharacteristic
346C2×C61C2×#58511yescharacteristic
347D61—212no—
348C22×#41—611no—
349#557—6116no—
350#557—6116no—
351#557—6116no—
352#557C2×D61116yescomplemented
353#554—6148no—
354#554—6148no—
355#554—6148no—
356#554—6148no—
357#544—6148no—
358#544—6148no—
359#533—6148no—
360C2×C4⋊Q8—613no—
361C2×C4⋊Q8—613no—
362C2×C4⋊Q8—613no—
363C2×C4⋊Q8—613no—
364C2×C4⋊Q8—613no—
365C2×C4⋊Q8C2×D6113yes—
366C2×#125—6148no—
367C2×#125—613no—
368C2×#125—616no—
369C2×#125—611no—
370C2×#125—613no—
371C2×#125—613no—
372C2×#125—613no—
373C2×#125—613no—
374C2×#125—613no—
375C2×#125—613no—
376C2×#125C2×D6113yes—
377C2×#125C2×D6113yes—
378C2×C22⋊Q8—613no—
379C2×C22⋊Q8—616no—
380C2×C22⋊Q8—613no—
381C2×C22⋊Q8—613no—
382C2×C22⋊Q8—616no—
383C2×C22⋊Q8—616no—
384C2×C22⋊Q8—613no—
385C2×C22⋊Q8—616no—
386#520—6116no—
387#520—6116no—
388C4×#41—6116no—
389C2×C4×Q8—611no—
390C2×C4×Q8—611no—
391C2×C4×Q8—611no—
392C2×C4×Q8—613no—
393C2×C4×Q8—613no—
394C2×C4×Q8—613no—
395C2×C4×Q8C2×D6111yescharacteristic
396C2×C4×Q8C2×D6111yescharacteristic
397C2×C4×Q8C2×D6111yescharacteristic
398C2×C4×Q8C2×D6113yes—
399C2×C4×D4—613no—
400C2×C4×D4—613no—
401C2×C4×D4—613no—
402C2×C4×D4—613no—
403C2×C4×D4—613no—
404C2×C4×D4—613no—
405C2×#117—613no—
406C2×#117—613no—
407C2×#117—613no—
408C22×C4⋊C4—613no—
409C22×C4⋊C4—613no—
410C22×C4⋊C4—616no—
411C22×C4⋊C4—616no—
412C22×C42—613no—
413C61C2×#350411yescharacteristic, complemented, Sylow
414C2×#41—6116no—
415C2×#41—618no—
416C22×Q8—613no—
417C22×Q8—613no—
418C22×Q8—613no—
419C22×Q8C22×D6113yes—
420C22×Q8C22×D6111yescharacteristic
421C22×D4—613no—
422C23×C4—613no—
423C23×C4—616no—
424C23×C4—616no—
425C23×C4—613no—
426C23×C4—613no—
427C4⋊Q8—6124no—
428C4⋊Q8—6124no—
429C4⋊Q8—6124no—
430C4⋊Q8—6124no—
431C4⋊Q8—6124no—
432C4⋊Q8C22×D61124yes—
433#125—6124no—
434#125—6148no—
435#125—6124no—
436#125—6124no—
437#125—618no—
438#125—6124no—
439#125—6124no—
440#125—6124no—
441#125—6124no—
442#125C22×D61124yes—
443#125C22×D61124yes—
444C22⋊Q8—6124no—
445C22⋊Q8—6148no—
446C22⋊Q8—6124no—
447C22⋊Q8—6124no—
448C22⋊Q8—6124no—
449C22⋊Q8—6148no—
450C22⋊Q8—6148no—
451C22⋊Q8—6148no—
452C4×Q8—618no—
453C4×Q8—618no—
454C4×Q8—618no—
455C4×Q8—6124no—
456C4×Q8—6124no—
457C4×Q8—6124no—
458C4×Q8C22×D6118yes—
459C4×Q8C22×D6118yes—
460C4×Q8C22×D6118yes—
461C4×Q8C22×D61124yes—
462C4×D4—6124no—
463C4×D4—6124no—
464C4×D4—6124no—
465C4×D4—6124no—
466C4×D4—6124no—
467C4×D4—6124no—
468#117—6124no—
469#117—6124no—
470#117—6124no—
471C2×C4⋊C4—613no—
472C2×C4⋊C4—613no—
473C2×C4⋊C4—613no—
474C2×C4⋊C4—613no—
475C2×C4⋊C4—613no—
476C2×C4⋊C4—613no—
477C2×C4⋊C4—613no—
478C2×C4⋊C4—616no—
479C2×C4⋊C4—616no—
480C2×C4⋊C4—616no—
481C2×C4⋊C4—611no—
482C2×C4⋊C4—611no—
483C2×C4⋊C4—613no—
484C2×C4⋊C4—611no—
485C2×C4⋊C4—611no—
486C2×C4⋊C4—611no—
487C2×C4⋊C4—613no—
488C2×C4⋊C4—613no—
489C2×C4⋊C4—613no—
490C2×C4⋊C4—6124no—
491C2×C4⋊C4—6124no—
492C2×C4⋊C4—6148no—
493C2×C4⋊C4—6148no—
494C2×C4⋊C4C22×D6113yes—
495C2×C4⋊C4C22×D6113yes—
496C2×C4⋊C4C22×D6113yes—
497C2×C4⋊C4C22×D6116yes—
498C2×C4⋊C4C22×D6113yes—
499C2×C4⋊C4C22×D6111yescharacteristic
500C2×C4⋊C4C22×D6113yes—
501C2×C22⋊C4—613no—
502C2×C22⋊C4—613no—
503C2×C22⋊C4—616no—
504C2×C22⋊C4—613no—
505C2×C22⋊C4—613no—
506C2×C42—613no—
507C2×C42—613no—
508C2×C42—613no—
509C2×C42—613no—
510C2×C42—611no—
511C2×C42—6124no—
512C2×C42C22×D6113yes—
513C2×C42C22×D6113yes—
514C2×C42C22×D6113yes—
515C24—613no—
516#41—6164no—
517C2×Q8—46no—
518C2×Q8—6112no—
519C2×Q8—6112no—
520C2×Q8—6112no—
521C2×Q8—2446no—
522C2×Q8—2446no—
523C2×Q8—2446no—
524C2×Q8Q8×D6118yes—
525C2×Q8C23×D61112yes—
526C2×Q8C23×D6114yes—
527C2×D4—6124no—
528C2×D4—6112no—
529C22×C4—611no—
530C22×C4—6124no—
531C22×C4—6112no—
532C22×C4—611no—
533C22×C4—611no—
534C22×C4—611no—
535C22×C4—613no—
536C22×C4—613no—
537C22×C4—613no—
538C22×C4—6112no—
539C22×C4—6112no—
540C22×C4—6124no—
541C22×C4—6124no—
542C22×C4—24412no—
543C22×C4—2446no—
544C22×C4—2446no—
545C22×C4—24412no—
546C22×C4C23×D6111yescharacteristic
547C22×C4C23×D6113yes—
548C22×C4C23×D6111yescharacteristic
549C22×C4C23×D6111yescharacteristic
550C22×C4C23×D6113yes—
551C22×C4C23×D6113yes—
552C22×C4C23×D6113yes—
553C4⋊C4—6112no—
554C4⋊C4—6112no—
555C4⋊C4—6112no—
556C4⋊C4—6112no—
557C4⋊C4—6112no—
558C4⋊C4—6124no—
559C4⋊C4—6124no—
560C4⋊C4—6112no—
561C4⋊C4—6112no—
562C4⋊C4—6124no—
563C4⋊C4—614no—
564C4⋊C4—614no—
565C4⋊C4—614no—
566C4⋊C4—614no—
567C4⋊C4—6112no—
568C4⋊C4—6112no—
569C4⋊C4—6112no—
570C4⋊C4—614no—
571C4⋊C4—6112no—
572C4⋊C4C23×D61112yes—
573C4⋊C4C23×D61112yes—
574C4⋊C4C23×D61112yes—
575C4⋊C4C23×D61124yes—
576C4⋊C4C23×D61112yes—
577C4⋊C4C23×D6114yes—
578C4⋊C4C23×D61112yes—
579C22⋊C4—6112no—
580C22⋊C4—6112no—
581C22⋊C4—6124no—
582C22⋊C4—6112no—
583C22⋊C4—6112no—
584C42—614no—
585C42—6112no—
586C42—6112no—
587C42—6112no—
588C42—6112no—
589C42C23×D61112yes—
590C42C23×D61112yes—
591C42C23×D61112yes—
592C23—6112no—
593C23—616no—
594C23—1226no—
595C23—1226no—
596C23C24×D6111yescharacteristic
597Q8—412no—
598Q8—24412no—
599Q8—24412no—
600Q8—24412no—
601Q8C2×Q8×D61116yes—
602D4—6148no—
603C2×C4—26no—
604C2×C4—26no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—26no—
608C2×C4—22no—
609C2×C4—614no—
610C2×C4—612no—
611C2×C4—6148no—
612C2×C4—612no—
613C2×C4—612no—
614C2×C4—612no—
615C2×C4—616no—
616C2×C4—616no—
617C2×C4—616no—
618C2×C4—1222no—
619C2×C4—1226no—
620C2×C4—1222no—
621C2×C4—1226no—
622C2×C4—1226no—
623C2×C4—1222no—
624C2×C4—24424no—
625C2×C4—24412no—
626C2×C4—24412no—
627C2×C4—24424no—
628C2×C4C2×Q8×D61112yes—
629C2×C4C24×D6112yes—
630C2×C4C24×D6116yes—
631C2×C4C24×D6112yes—
632C2×C4C24×D6112yes—
633C2×C4C24×D6116yes—
634C2×C4C24×D6116yes—
635C2×C4C24×D6116yes—
636C22—6112no—
637C22—1226no—
638C22—1226no—
639C22—12224no—
640C22C22×Q8×D6112yes—
641C22#1684059812yes—
642C22#1684059912yes—
643C22C25×D6111yescharacteristic
644C4—26no—
645C4—26no—
646C4—22no—
647C4—22no—
648C4—26no—
649C4—22no—
650C4—614no—
651C4—1222no—
652C4—1226no—
653C4—1222no—
654C4—1226no—
655C4—1226no—
656C4—1222no—
657C4C22×Q8×D61112yes—
658C2—12212no—
659C2#2145964414yesdirect product factor
660C2C23×Q8×D6111yescharacteristic
661C2C2×#1684059811yescharacteristic
662C2C2×#1684059911yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#557C2
socleC23×C61C25
prime radicalC22×#11758226C22
hypercenterC2×#557D61
hypocenterC61C2×#3504
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#557

Complements

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

NH ≅ G/Ntype
1. #21459644C2direct (N × H)
2. C2×#16840491C2semidirect
3. C2×#16840488C2semidirect
4. C2×#16840488C2semidirect
5. C2×#16840473C2semidirect
6. C2×#16840472C2semidirect
7. C2×#16840468C2semidirect
8. C2×#16840468C2semidirect
9. C2×#16840392C2semidirect
10. C2×#16840389C2semidirect
11. C2×#16840316C2semidirect
12. C2×#125×D61C2semidirect
16. C2×C61×#557C2semidirect
18. #16840491C22semidirect
19. #16840488C22semidirect
20. #16840488C22semidirect
21. #16840473C22semidirect
22. #16840472C22semidirect
23. #16840468C22semidirect
24. #16840468C22semidirect
25. #16840392C22semidirect
26. #16840389C22semidirect
27. #16840316C22semidirect
42. #125×D61C22semidirect
74. C61×#557C22semidirect
82. C2×#11758226Q8semidirect
202. #11758226C2×Q8semidirect
331. C2×#557D61semidirect
343. C2×C61#3504semidirect
352. #557C2×D61semidirect
413. C61C2×#3504semidirect
659. C2#21459644direct (N × H)

Maximal subgroups

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

subgroupindex
#214596442
C2×#168404912
C2×#168404882
C2×#168404732
C2×#168404722
C2×#168404682
C2×#168403922
C2×#168403892
C2×#168403162
C2×#125×D612
C2×#168402442
C2×C4×#117582262
C2×C61×#5572
C2×#350461