Finite Group Databasebeta

← C2×#10610925 #12977923

Subgroups — C2×#10610925 #12977923

Order 1280.

1834 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65867C211yesmaximal, characteristic
2C2×#65863C211yesmaximal, characteristic
3C2×C5×#427C211yesmaximal, characteristic, complemented
4C2×#65405C211yesmaximal, characteristic, complemented
5C2×#65400C211yesmaximal, characteristic
6C2×#65285C211yesmaximal, characteristic, complemented
7C2×#65285C211yesmaximal, characteristic, complemented
8#10610925C2116yesmaximal, direct product factor
9C2×#65166C211yesmaximal, characteristic, complemented
10C2×#65164C211yesmaximal, characteristic, complemented
11C2×#65173C211yesmaximal, characteristic, complemented
12C2×#65177C211yesmaximal, characteristic, complemented
13C2×#65157C211yesmaximal, characteristic, complemented
14C2×#65150C211yesmaximal, characteristic, complemented
15C2×#65145C211yesmaximal, characteristic, complemented
16C2×#65142C211yesmaximal, characteristic, complemented
17C23×C5×C8C2211yescharacteristic
18C2×C5×#117C2211yescharacteristic
19C2×C5×#117C2211yescharacteristic
20C2×C4×C22⋊D5C2211yescharacteristic
21C2×#4070C2211yescharacteristic
22C2×#4070C2211yescharacteristic
23C22×Dic20C2211yescharacteristic
24C22×#676C2211yescharacteristic
25#65867—24no—
26#65867C2218yes—
27#65863—24no—
28#65863C2218yes—
29C2×#4043C2211yescharacteristic
30C2×#4043C2211yescharacteristic
31C2×#4038C2211yescharacteristic
32C2×D5×C4⋊C4C2211yescharacteristic
33C2×#4036C2211yescharacteristic
34C2×#4034C2211yescharacteristic
35C2×#4033C2211yescharacteristic
36C2×#4033C2211yescharacteristic
37C2×#4031—21no—
38C2×#4029—21no—
39C2×#4025—21no—
40C2×#4025—21no—
41C2×#4022—21no—
42C2×#4018—21no—
43C2×#4016—21no—
44C2×C4×Dic10—21no—
45C5×#427C2218yescomplemented
46C2×C5×#107C2211yescharacteristic
47C2×C5×#107C2211yescharacteristic
48C2×C5×#106C2211yescharacteristic
49C2×C5×#106C2211yescharacteristic
50C2×C22⋊#168C2211yescharacteristic
51#65405C2218yescomplemented
52#65400C2218yes—
53C2×#3952C2211yescharacteristic
54C2×#3950C2211yescharacteristic
55C2×#3948C2211yescharacteristic
56C2×#3948C2211yescharacteristic
57C2×#3947C2211yescharacteristic
58C2×#3946C2211yescharacteristic
59#65285C2218yescomplemented
60#65285C2218yescomplemented
61C2×#3942C2211yescharacteristic
62C2×#3942C2211yescharacteristic
63C2×#3942C2211yescharacteristic
64C2×#3942C2211yescharacteristic
65C2×#3940C2211yescharacteristic
66C2×#3940C2211yescharacteristic
67C2×#3939C2211yescharacteristic
68C2×#3939C2211yescharacteristic
69#65177C2218yescomplemented
70#65173C2218yescomplemented
71#65166C2218yescomplemented
72#65164C2218yescomplemented
73#65157C2218yescomplemented
74#65150C2218yescomplemented
75#65145C2218yescomplemented
76#65142C2218yescomplemented
77C2×#3349—51nomaximal, Sylow
78C23×C4×C5C2311yescharacteristic
79C22×C22⋊D5D411yescharacteristic
80C22×C4×D5—21no—
81C22×C4×D5C2311yescharacteristic
82C22×Dic10—21no—
83C22×Dic10C2311yescharacteristic
84C22×Dic10C2311yescharacteristic
85C22×C5×C8—24no—
86C22×C5×C8C2311yescharacteristic
87C22×C5×C8C2314yes—
88C22×C5×C8C2311yescharacteristic
89C5×#117—22no—
90C5×#117—22no—
91C5×#117C2314yes—
92C5×#117C2314yes—
93C2×C5×C4⋊C4C2311yescharacteristic
94C2×C5×C4⋊C4C2311yescharacteristic
95C2×C5×C4⋊C4C2311yescharacteristic
96C2×C5×C4⋊C4C2311yescharacteristic
97C2×C5×C22⋊C4—21no—
98C2×C5×C22⋊C4—21no—
99C2×C42×C5—21no—
100C2×C42×C5—21no—
101C2×C22⋊Dic5—21no—
102C2×C22⋊Dic5—21no—
103C2×C22⋊Dic5D411yescharacteristic
104C4×C22⋊D5D414yes—
105C4×C22⋊D5C2314yes—
106C2×#685—21no—
107C2×#685—21no—
108C2×#685—21no—
109C2×#685D411yescharacteristic
110C2×C4⋊Dic5—21no—
111C2×C4⋊Dic5—21no—
112C2×C4⋊Dic5—21no—
113C2×C4⋊Dic5C2311yescharacteristic
114C2×C4⋊Dic5C2311yescharacteristic
115#4070—22no—
116#4070—22no—
117#4070C2314yes—
118#4070C2314yes—
119C2×#683—21no—
120C2×#683—21no—
121C2×#683—21no—
122C2×#683—21no—
123C2×#683—21no—
124C2×#683—21no—
125C2×#683—21no—
126C2×#683D411yescharacteristic
127C2×C4×Dic5—21no—
128C2×C4×Dic5—21no—
129C2×C4×Dic5—21no—
130C2×C4×Dic5C2311yescharacteristic
131C22×#168C2311yescharacteristic
132C22×#168C2311yescharacteristic
133C2×Dic20—24no—
134C2×Dic20C2314yes—
135C2×#676—24no—
136C2×#676C2314yes—
137#4043—22no—
138#4043—22no—
139#4043C2314yes—
140#4043C2314yes—
141#4038—22no—
142#4038C2314yes—
143D5×C4⋊C4—22no—
144D5×C4⋊C4C2314yes—
145#4036—22no—
146#4036C2314yes—
147#4034—22no—
148#4034C2314yes—
149#4033—22no—
150#4033—22no—
151#4033C2314yes—
152#4033C2314yes—
153#4031—28no—
154#4029—28no—
155#4025—28no—
156#4025—28no—
157#4022—28no—
158#4018—28no—
159#4016—28no—
160C4×Dic10—28no—
161C5×#107C2314yes—
162C5×#107C2314yes—
163C5×#106C2314yes—
164C5×#106C2314yes—
165C22⋊#168C2314yes—
166#3952C2314yes—
167#3950C2314yes—
168#3948C2314yes—
169#3948C2314yes—
170#3947C2314yes—
171#3946C2314yes—
172#3942C2314yes—
173#3942C2314yes—
174#3942C2314yes—
175#3942C2314yes—
176#3940C2314yes—
177#3940C2314yes—
178#3939C2314yes—
179#3939C2314yes—
180C2×#556—51no—
181C2×#552—51no—
182#3349—516no—
183C2×#501—51no—
184C2×#484—51no—
185C2×#485—51no—
186C2×#485—51no—
187C2×#485—51no—
188C2×#479—51no—
189C2×#477—51no—
190C2×#470—51no—
191C2×#467—51no—
192C2×#441—51no—
193C2×#435—51no—
194C2×#428—51no—
195C2×#427D511yescharacteristic, complemented
196C24×C5C2×D411yescharacteristic
197C23×D5C2×D411yescharacteristic
198C22×C4×C5—22no—
199C22×C4×C5—22no—
200C22×C4×C5—21no—
201C22×C4×C5—21no—
202C22×C4×C5—21no—
203C22×C4×C5—21no—
204C22×C4×C5C2×D411yescharacteristic
205C22×C4×C5C2×D412yes—
206C22×C4×C5C2412yes—
207C22×C4×C5C2411yescharacteristic
208C2×C22⋊D5—42no—
209C2×C22⋊D5C2×D414yes—
210C22×Dic5—21no—
211C22×Dic5—21no—
212C22×Dic5—21no—
213C22×Dic5—21no—
214C22×Dic5C2×D411yescharacteristic
215C22×Dic5C2×D411yescharacteristic
216C22×Dic5C2×D411yescharacteristic
217C2×C4×D5—22no—
218C2×C4×D5—22no—
219C2×C4×D5—24no—
220C2×C4×D5—44no—
221C2×C4×D5C2×D412yes—
222C2×C4×D5C2412yes—
223C2×Dic10—22no—
224C2×Dic10—22no—
225C2×Dic10—22no—
226C2×Dic10—22no—
227C2×Dic10—21no—
228C2×Dic10—21no—
229C2×Dic10—24no—
230C2×Dic10—44no—
231C2×Dic10C2412yes—
232C2×Dic10C2412yes—
233C2×C5×C8—22no—
234C2×C5×C8—28no—
235C2×C5×C8#4114yes—
236C2×C5×C8C2412yes—
237C2×C5×C8C2412yes—
238C5×C4⋊C4—21no—
239C5×C4⋊C4—21no—
240C5×C4⋊C4—21no—
241C5×C4⋊C4—21no—
242C5×C4⋊C4C2412yes—
243C5×C4⋊C4C2412yes—
244C5×C4⋊C4C2412yes—
245C5×C4⋊C4C2412yes—
246C5×C22⋊C4—24no—
247C5×C22⋊C4—24no—
248C42×C5—24no—
249C42×C5—24no—
250C22⋊Dic5—24no—
251C22⋊Dic5—24no—
252C22⋊Dic5C2×D414yes—
253#685—24no—
254#685—24no—
255#685—24no—
256#685C2×D414yes—
257C4⋊Dic5—21no—
258C4⋊Dic5—21no—
259C4⋊Dic5—24no—
260C4⋊Dic5—24no—
261C4⋊Dic5—24no—
262C4⋊Dic5C2412yes—
263C4⋊Dic5C2412yes—
264#683—24no—
265#683—24no—
266#683—24no—
267#683—24no—
268#683—24no—
269#683—24no—
270#683—24no—
271#683C2×D414yes—
272C4×Dic5—24no—
273C4×Dic5—24no—
274C4×Dic5—24no—
275C4×Dic5C2×D412yes—
276C4×Dic5C2412yes—
277C2×#168—22no—
278C2×#168—22no—
279C2×#168C2412yes—
280C2×#168C2412yes—
281Dic20—28no—
282#676—28no—
283C22×Q16—51no—
284C22×M16—51no—
285C23×C8C2×D511yescharacteristic
286#556—58no—
287#556—104no—
288#552—58no—
289#552—104no—
290C2×C4⋊Q8—51no—
291C2×#126—101no—
292C2×#126—101no—
293C2×#126—101no—
294C2×#125—51no—
295C2×#125—101no—
296C2×#124—101no—
297C2×#123—101no—
298C2×C22⋊Q8—51no—
299C2×C22⋊Q8—51no—
300C2×C22⋊Q8—51no—
301C2×C22⋊Q8—51no—
302C2×C4×Q8—51no—
303C2×C4×Q8—51no—
304C2×C4×Q8—101no—
305C2×C4×D4—51no—
306C2×#117—51no—
307C2×#117—101no—
308C2×#117C2×D511yescharacteristic
309C2×#117C2×D511yescharacteristic
310C22×C4⋊C4—51no—
311#501—58no—
312#485—58no—
313#485—58no—
314#485—58no—
315#484—58no—
316#479—58no—
317#477—58no—
318#470—58no—
319#467—58no—
320#441—58no—
321#435—58no—
322#428—58no—
323#427C2×D518yescomplemented
324C2×#107—51no—
325C2×#107—51no—
326C2×#107—51no—
327C2×#107C2×D511yescharacteristic
328C2×#107C2×D511yescharacteristic
329C2×#106—51no—
330C2×#106—51no—
331C2×#106C2×D511yescharacteristic
332C2×#106C2×D511yescharacteristic
333C2×C4⋊C8—51no—
334C2×#103—51no—
335C2×#103—51no—
336C2×#103—51no—
337C2×#103—51no—
338C2×#103—51no—
339C2×#103—51no—
340C2×C22⋊C8—51no—
341C2×C22⋊C8—51no—
342C2×#97—51no—
343C23×C5—22no—
344C23×C5—22no—
345C23×C5—22no—
346C23×C5C22×D412yes—
347C23×C5C22×D411yescharacteristic
348C22×D5—22no—
349C22×D5—22no—
350C22×D5—22no—
351C22×D5C22×D412yes—
352C2×C4×C5—22no—
353C2×C4×C5—24no—
354C2×C4×C5—22no—
355C2×C4×C5—22no—
356C2×C4×C5—22no—
357C2×C4×C5—22no—
358C2×C4×C5—22no—
359C2×C4×C5—22no—
360C2×C4×C5—42no—
361C2×C4×C5—42no—
362C2×C4×C5—42no—
363C2×C4×C5—42no—
364C2×C4×C5C22×D412yes—
365C2×C4×C5C22×D411yescharacteristic
366C2×C4×C5C2×#4112yes—
367C2×C4×C52−1+412yes—
368C2×C4×C5C2511yescharacteristic
369C22⋊D5—44no—
370C2×Dic5—22no—
371C2×Dic5—22no—
372C2×Dic5—22no—
373C2×Dic5—22no—
374C2×Dic5—22no—
375C2×Dic5—22no—
376C2×Dic5—22no—
377C2×Dic5—42no—
378C2×Dic5—42no—
379C2×Dic5—42no—
380C2×Dic5—42no—
381C2×Dic5C22×D412yes—
382C2×Dic5C22×D412yes—
383C2×Dic5C22×D412yes—
384C4×D5—24no—
385C4×D5—22no—
386C4×D5—22no—
387C4×D5—48no—
388Dic10—22no—
389Dic10—22no—
390Dic10—22no—
391Dic10—22no—
392Dic10—48no—
393Dic10—42no—
394Dic10—42no—
395C5×C8—22no—
396C5×C8C2×#4114yes—
397#168—22no—
398#168—22no—
399C22×Q8—51no—
400C22×Q8—51no—
401C22×Q8—101no—
402C22×D4—51no—
403C23×C4—51no—
404C23×C4—101no—
405C23×C4C22×D511yescharacteristic
406C2×Q16—54no—
407C2×Q16—104no—
408C2×M16—54no—
409C2×M16—104no—
410C22×C8—24no—
411C22×C8—51no—
412C22×C8—51no—
413C22×C8C22×D511yescharacteristic
414C22×C8C22×D514yes—
415C22×C8C22×D511yescharacteristic
416C4⋊Q8—54no—
417C4⋊Q8—102no—
418#126—108no—
419#126—108no—
420#126—108no—
421#125—54no—
422#125—108no—
423#125—102no—
424#124—108no—
425#123—108no—
426C22⋊Q8—54no—
427C22⋊Q8—54no—
428C22⋊Q8—54no—
429C22⋊Q8—54no—
430C22⋊Q8—102no—
431C22⋊Q8—102no—
432C22⋊Q8—102no—
433C22⋊Q8—102no—
434C4×Q8—54no—
435C4×Q8—54no—
436C4×Q8—108no—
437C4×Q8—102no—
438C4×Q8—102no—
439C4×D4—54no—
440C4×D4—54no—
441#117—22no—
442#117—22no—
443#117—54no—
444#117—108no—
445#117—102no—
446#117C22×D514yes—
447#117C22×D514yes—
448C2×C4⋊C4—51no—
449C2×C4⋊C4—51no—
450C2×C4⋊C4—51no—
451C2×C4⋊C4—54no—
452C2×C4⋊C4—102no—
453C2×C4⋊C4—101no—
454C2×C4⋊C4—101no—
455C2×C4⋊C4—101no—
456C2×C4⋊C4—101no—
457C2×C4⋊C4—101no—
458C2×C4⋊C4—101no—
459C2×C4⋊C4—101no—
460C2×C4⋊C4—101no—
461C2×C4⋊C4—101no—
462C2×C4⋊C4—101no—
463C2×C4⋊C4C22×D511yescharacteristic
464C2×C4⋊C4C22×D511yescharacteristic
465C2×C4⋊C4C22×D511yescharacteristic
466C2×C4⋊C4C22×D511yescharacteristic
467C2×C22⋊C4—21no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4—51no—
470C2×C22⋊C4—51no—
471C2×C22⋊C4—101no—
472C2×C22⋊C4—101no—
473C2×C22⋊C4—101no—
474C2×C22⋊C4—101no—
475C2×C22⋊C4—101no—
476C2×C42—21no—
477C2×C42—21no—
478C2×C42—51no—
479C2×C42—101no—
480C2×C42—101no—
481C2×C42—101no—
482#107—54no—
483#107—54no—
484#107—54no—
485#107C22×D514yes—
486#107C22×D514yes—
487#106—54no—
488#106—54no—
489#106C22×D514yes—
490#106C22×D514yes—
491C4⋊C8—54no—
492#103—54no—
493#103—54no—
494#103—54no—
495#103—54no—
496#103—54no—
497#103—54no—
498C22⋊C8—54no—
499C22⋊C8—54no—
500#97—54no—
501C22×C5—22no—
502C22×C5—22no—
503C22×C5—22no—
504C22×C5—44no—
505C22×C5#54712yes—
506C22×C5#57512yes—
507C22×C5#57812yes—
508C22×C5C23×D411yescharacteristic
509C2×D5—22no—
510C2×D5—22no—
511C2×D5—22no—
512C2×D5—44no—
513C4×C5—22no—
514C4×C5—42no—
515C4×C5—42no—
516C4×C5—42no—
517C4×C5—42no—
518C4×C5#54712yes—
519C4×C5C22×#4111yescharacteristic
520C4×C5C2×2−1+411yescharacteristic
521Dic5—22no—
522Dic5—22no—
523Dic5—22no—
524Dic5—42no—
525Dic5—42no—
526Dic5—42no—
527Dic5—42no—
528C24—51no—
529C24D4×D511yescharacteristic
530C2×Q8—52no—
531C2×Q8—52no—
532C2×Q8—104no—
533C2×Q8—101no—
534C2×Q8—101no—
535C2×Q8—102no—
536C2×Q8—102no—
537C2×Q8—102no—
538C2×Q8—102no—
539C2×Q8—204no—
540C2×D4—54no—
541C2×D4—202no—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—51no—
549C22×C4—51no—
550C22×C4—51no—
551C22×C4—52no—
552C22×C4—52no—
553C22×C4—104no—
554C22×C4—102no—
555C22×C4—102no—
556C22×C4—101no—
557C22×C4—101no—
558C22×C4—101no—
559C22×C4—101no—
560C22×C4—204no—
561C22×C4D4×D512yes—
562C22×C4D4×D511yescharacteristic
563C22×C4C23×D512yes—
564C22×C4C23×D511yescharacteristic
565Q16—108no—
566M16—108no—
567C2×C8—22no—
568C2×C8—28no—
569C2×C8—52no—
570C2×C8—52no—
571C2×C8—102no—
572C2×C8—102no—
573C2×C8#70914yes—
574C2×C8C23×D512yes—
575C2×C8C23×D512yes—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—54no—
581C4⋊C4—52no—
582C4⋊C4—52no—
583C4⋊C4—104no—
584C4⋊C4—104no—
585C4⋊C4—104no—
586C4⋊C4—104no—
587C4⋊C4—104no—
588C4⋊C4—104no—
589C4⋊C4—104no—
590C4⋊C4—104no—
591C4⋊C4—101no—
592C4⋊C4—101no—
593C4⋊C4—104no—
594C4⋊C4—104no—
595C4⋊C4C23×D512yes—
596C4⋊C4C23×D512yes—
597C4⋊C4C23×D512yes—
598C4⋊C4C23×D512yes—
599C22⋊C4—24no—
600C22⋊C4—24no—
601C22⋊C4—54no—
602C22⋊C4—54no—
603C22⋊C4—104no—
604C22⋊C4—104no—
605C22⋊C4—104no—
606C22⋊C4—104no—
607C22⋊C4—104no—
608C42—24no—
609C42—24no—
610C42—52no—
611C42—52no—
612C42—104no—
613C42—104no—
614C42—104no—
615C2×C5—42no—
616C2×C5#334914yescomplemented
617C2×C5C2×#54711yescharacteristic
618C2×C5C2×#57511yescharacteristic
619C2×C5C2×#57811yescharacteristic
620D5—42no—
621C23—22no—
622C23—22no—
623C23—22no—
624C23—52no—
625C23—102no—
626C23—102no—
627C23—102no—
628C23C2×D4×D512yes—
629C23C2×D4×D511yescharacteristic
630Q8—102no—
631Q8—102no—
632Q8—102no—
633Q8—102no—
634Q8—208no—
635Q8—202no—
636Q8—202no—
637D4—204no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—52no—
651C2×C4—52no—
652C2×C4—52no—
653C2×C4—102no—
654C2×C4—102no—
655C2×C4—102no—
656C2×C4—104no—
657C2×C4—102no—
658C2×C4—102no—
659C2×C4—102no—
660C2×C4—102no—
661C2×C4—102no—
662C2×C4—102no—
663C2×C4—208no—
664C2×C4—202no—
665C2×C4—202no—
666C2×C4—202no—
667C2×C4—202no—
668C2×C4C2×#70912yes—
669C2×C4C2×D4×D512yes—
670C2×C4C2×D4×D511yescharacteristic
671C2×C4#414712yes—
672C2×C4C24×D511yescharacteristic
673C8—22no—
674C8—102no—
675C8—102no—
676C8C2×#70914yes—
677C5C2×#334911yescharacteristic, complemented, Sylow
678C22—22no—
679C22—22no—
680C22—22no—
681C22—44no—
682C22—102no—
683C22—102no—
684C22—102no—
685C22—204no—
686C22#6584112yes—
687C22#6610212yes—
688C22#6610512yes—
689C22C22×D4×D511yescharacteristic
690C4—22no—
691C4—42no—
692C4—42no—
693C4—42no—
694C4—42no—
695C4—102no—
696C4—102no—
697C4—102no—
698C4—202no—
699C4—202no—
700C4—202no—
701C4—202no—
702C4#6584112yes—
703C4C22×#70911yescharacteristic
704C4C2×#414711yescharacteristic
705C2—42no—
706C2—202no—
707C2#1061092514yesdirect product factor
708C2C2×#6584111yescharacteristic
709C2C2×#6610211yescharacteristic
710C2C2×#6610511yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#427C2
socleC23×C5C22×D4
prime radicalC22×C22⋊D5D4
hypercenterC2×#427D5
hypocenterC5C2×#3349
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#427

Complements

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

NH ≅ G/Ntype
3. C2×C5×#427C2semidirect
4. C2×#65405C2semidirect
6. C2×#65285C2semidirect
7. C2×#65285C2semidirect
8. #10610925C2direct (N × H)
9. C2×#65166C2semidirect
10. C2×#65164C2semidirect
11. C2×#65173C2semidirect
12. C2×#65177C2semidirect
13. C2×#65157C2semidirect
14. C2×#65150C2semidirect
15. C2×#65145C2semidirect
16. C2×#65142C2semidirect
45. C5×#427C22semidirect
51. #65405C22semidirect
59. #65285C22semidirect
60. #65285C22semidirect
69. #65177C22semidirect
70. #65173C22semidirect
71. #65166C22semidirect
72. #65164C22semidirect
73. #65157C22semidirect
74. #65150C22semidirect
75. #65145C22semidirect
76. #65142C22semidirect
195. C2×#427D5semidirect
323. #427C2×D5semidirect
616. C2×C5#3349semidirect
677. C5C2×#3349semidirect
707. C2#10610925direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#658672
C2×#658632
C2×C5×#4272
C2×#654052
C2×#654002
C2×#652852
#106109252
C2×#651662
C2×#651642
C2×#651732
C2×#651772
C2×#651572
C2×#651502
C2×#651452
C2×#651422
C2×#33495