Finite Group Databasebeta

← C2×#10613691 #12969173

Subgroups — C2×#10613691 #12969173

Order 1280.

1906 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66067C211yesmaximal, characteristic
2C2×#66031C211yesmaximal, characteristic, complemented
3C2×C5×#501C211yesmaximal, characteristic, complemented
4C2×#65382C211yesmaximal, characteristic, complemented
5C2×#65357C211yesmaximal, characteristic, complemented
6#10613691C2116yesmaximal, direct product factor
7C2×#65175C211yesmaximal, characteristic
8C2×#65176C211yesmaximal, characteristic, complemented
9C2×#65178C211yesmaximal, characteristic, complemented
10C2×#65162C211yesmaximal, characteristic, complemented
11C2×#65157C211yesmaximal, characteristic, complemented
12C2×#65153C211yesmaximal, characteristic
13C2×#65142C211yesmaximal, characteristic, complemented
14C2×#65141C211yesmaximal, characteristic, complemented
15C2×#65004C211yesmaximal, characteristic, complemented
16C2×#64997C211yesmaximal, characteristic, complemented
17C2×C5×C4⋊Q8C2211yescharacteristic
18C2×C5×#125C2211yescharacteristic
19C2×#4093—21no—
20C2×#4092—21no—
21C22×Dic20C2211yescharacteristic
22C22×Dic20C2211yescharacteristic
23C22×#677C2211yescharacteristic
24C22×#677C2211yescharacteristic
25C22×#676C2211yescharacteristic
26C22×C8×D5C2211yescharacteristic
27#66067—24no—
28#66067C2218yes—
29#66031—24no—
30#66031C2218yescomplemented
31C2×#4044—21no—
32C2×#4044—21no—
33C2×#4044—21no—
34C2×#4043C2211yescharacteristic
35C2×#4043C2211yescharacteristic
36C2×#4043C2211yescharacteristic
37C2×#4041C2211yescharacteristic
38C2×#4040—21no—
39C2×#4039C2211yescharacteristic
40C2×#4036—21no—
41C2×#4036—21no—
42C2×#4033C2211yescharacteristic
43C2×#4033C2211yescharacteristic
44C2×#4033C2211yescharacteristic
45C2×#4021C2211yescharacteristic
46C2×#4018C2211yescharacteristic
47C2×#4015C2211yescharacteristic
48C5×#501C2218yescomplemented
49C2×C5×#107C2211yescharacteristic
50C2×C5×#107C2211yescharacteristic
51C2×C5×#106C2211yescharacteristic
52C2×C5×#106C2211yescharacteristic
53C2×C5×#97C2211yescharacteristic
54C2×#3947C2211yescharacteristic
55C2×C8×Dic5C2211yescharacteristic
56#65382C2218yescomplemented
57#65357C2218yescomplemented
58C2×#3942C2211yescharacteristic
59C2×#3942C2211yescharacteristic
60C2×#3942C2211yescharacteristic
61C2×#3942C2211yescharacteristic
62C2×#3942C2211yescharacteristic
63C2×#3942C2211yescharacteristic
64C2×#3941C2211yescharacteristic
65C2×#3941C2211yescharacteristic
66C2×C4×#168C2211yescharacteristic
67#65178C2218yescomplemented
68#65176C2218yescomplemented
69#65175C2218yes—
70#65162C2218yescomplemented
71#65157C2218yescomplemented
72#65153C2218yes—
73#65142C2218yescomplemented
74#65141C2218yescomplemented
75#65004C2218yescomplemented
76#64997C2218yescomplemented
77C2×#3178—51nomaximal, Sylow
78C22×C5×Q8—21no—
79C22×D20—21no—
80C22×D20C2311yescharacteristic
81C22×C4×D5—21no—
82C22×C4×D5C2311yescharacteristic
83C22×Dic10C2311yescharacteristic
84C22×Dic10C2311yescharacteristic
85C22×Dic10C2311yescharacteristic
86C22×C5×C8C2311yescharacteristic
87C22×C5×C8C2311yescharacteristic
88C5×C4⋊Q8—22no—
89C5×C4⋊Q8C2314yes—
90C5×#125—22no—
91C5×#125C2314yes—
92C2×C5×C4⋊C4—21no—
93C2×C5×C4⋊C4—21no—
94C2×C5×C4⋊C4—21no—
95C2×C5×C4⋊C4C2311yescharacteristic
96C2×C5×C4⋊C4C2311yescharacteristic
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C42×C5C2311yescharacteristic
100#4093—28no—
101#4092—28no—
102C2×#685—21no—
103C2×#685—21no—
104C2×#685—21no—
105C2×#685—21no—
106C2×#685—21no—
107C2×#685—21no—
108C2×#685—21no—
109C2×#685D411yescharacteristic
110C2×#685D411yescharacteristic
111C2×C4⋊Dic5—21no—
112C2×C4⋊Dic5—21no—
113C2×C4⋊Dic5—21no—
114C2×C4⋊Dic5—21no—
115C2×C4⋊Dic5—21no—
116C2×#683—21no—
117C2×#683—21no—
118C2×#683—21no—
119C2×#683D411yescharacteristic
120C2×#683D411yescharacteristic
121C2×C4×Dic5—21no—
122C2×C4×Dic5—21no—
123C2×C4×Dic5—21no—
124C2×C4×Dic5C2311yescharacteristic
125C22×#168C2311yescharacteristic
126C22×#168C2311yescharacteristic
127C2×Dic20—24no—
128C2×Dic20—24no—
129C2×Dic20C2314yes—
130C2×Dic20C2314yes—
131C2×#677—24no—
132C2×#677—24no—
133C2×#677C2314yes—
134C2×#677C2314yes—
135C2×#676—24no—
136C2×#676C2314yes—
137C2×C8×D5—24no—
138C2×C8×D5C2314yes—
139#4044—28no—
140#4044—28no—
141#4044—28no—
142#4043—22no—
143#4043—22no—
144#4043—22no—
145#4043C2314yes—
146#4043C2314yes—
147#4043C2314yes—
148#4041—22no—
149#4041C2314yes—
150#4040—28no—
151#4039—22no—
152#4039C2314yes—
153#4036—28no—
154#4036—28no—
155#4033—22no—
156#4033—22no—
157#4033—22no—
158#4033C2314yes—
159#4033C2314yes—
160#4033C2314yes—
161#4021—22no—
162#4021C2314yes—
163#4018D414yes—
164#4018C2314yes—
165#4015—22no—
166#4015C2314yes—
167C5×#107C2314yes—
168C5×#107C2314yes—
169C5×#106C2314yes—
170C5×#106C2314yes—
171C5×#97C2314yes—
172#3947C2314yes—
173C8×Dic5C2314yes—
174#3942C2314yes—
175#3942C2314yes—
176#3942C2314yes—
177#3942C2314yes—
178#3942C2314yes—
179#3942C2314yes—
180#3941C2314yes—
181#3941C2314yes—
182C4×#168C2314yes—
183C2×#542—51no—
184C2×#541—51no—
185#3178—516no—
186C2×#501D511yescharacteristic, complemented
187C2×#497—51no—
188C2×#488—51no—
189C2×#487—51no—
190C2×#470—51no—
191C2×#468—51no—
192C2×#467—51no—
193C2×#465—51no—
194C2×#441—51no—
195C2×#440—51no—
196C2×C4×Q16—51no—
197C2×C4×SD16—51no—
198C2×#405—51no—
199C23×D5—21no—
200C23×D5C2×D411yescharacteristic
201C2×C5×Q8—24no—
202C2×C5×Q8—82no—
203C22×C4×C5—21no—
204C22×C4×C5—21no—
205C22×C4×C5—21no—
206C22×C4×C5—21no—
207C22×C4×C5C2×D411yescharacteristic
208C22×C4×C5C2×D411yescharacteristic
209C22×C4×C5C2411yescharacteristic
210C22×Dic5—21no—
211C22×Dic5—21no—
212C22×Dic5—21no—
213C22×Dic5C2×D411yescharacteristic
214C22×Dic5C2×D411yescharacteristic
215C22×Dic5C2×D411yescharacteristic
216C2×D20—22no—
217C2×D20—22no—
218C2×D20—21no—
219C2×D20—24no—
220C2×D20—82no—
221C2×D20C2412yes—
222C2×C4×D5—22no—
223C2×C4×D5—22no—
224C2×C4×D5—24no—
225C2×C4×D5—82no—
226C2×C4×D5C2×D412yes—
227C2×C4×D5C2412yes—
228C2×Dic10—22no—
229C2×Dic10—22no—
230C2×Dic10—22no—
231C2×Dic10—22no—
232C2×Dic10—22no—
233C2×Dic10—22no—
234C2×Dic10—21no—
235C2×Dic10—21no—
236C2×Dic10—21no—
237C2×Dic10C2412yes—
238C2×Dic10C2412yes—
239C2×Dic10C2412yes—
240C2×C5×C8#4114yes—
241C2×C5×C8#4114yes—
242C2×C5×C8C2412yes—
243C2×C5×C8C2412yes—
244C5×C4⋊C4—24no—
245C5×C4⋊C4—24no—
246C5×C4⋊C4—24no—
247C5×C4⋊C4—21no—
248C5×C4⋊C4—21no—
249C5×C4⋊C4—21no—
250C5×C4⋊C4—21no—
251C5×C4⋊C4C2412yes—
252C5×C4⋊C4C2412yes—
253C5×C4⋊C4C2412yes—
254C5×C4⋊C4C2412yes—
255C42×C5C2×D412yes—
256C42×C5C2412yes—
257#685—24no—
258#685—24no—
259#685—24no—
260#685—24no—
261#685—24no—
262#685—24no—
263#685—24no—
264#685C2×D414yes—
265#685C2×D414yes—
266C4⋊Dic5—24no—
267C4⋊Dic5—24no—
268C4⋊Dic5—24no—
269C4⋊Dic5—24no—
270C4⋊Dic5—24no—
271#683—24no—
272#683—24no—
273#683—24no—
274#683C2×D414yes—
275#683C2×D414yes—
276C4×Dic5—24no—
277C4×Dic5—24no—
278C4×Dic5—24no—
279C4×Dic5C2×D412yes—
280C4×Dic5C2412yes—
281C2×#168—22no—
282C2×#168—22no—
283C2×#168C2412yes—
284C2×#168C2412yes—
285Dic20—28no—
286Dic20—28no—
287#677—28no—
288#677—28no—
289#676—28no—
290C8×D5—28no—
291C22×Q16—51no—
292C22×Q16—51no—
293C22×SD16—51no—
294C22×SD16—51no—
295C22×M16—51no—
296C23×C8—51no—
297#542—58no—
298#542—104no—
299#541—58no—
300#541—104no—
301C2×C4⋊Q8—51no—
302C2×C4⋊Q8C2×D511yescharacteristic
303C2×#126—101no—
304C2×#126—101no—
305C2×#126—101no—
306C2×#125—101no—
307C2×#125—101no—
308C2×#125C2×D511yescharacteristic
309C2×#124—51no—
310C2×#124—101no—
311C2×#123—101no—
312C2×C22⋊Q8—51no—
313C2×C22⋊Q8—51no—
314C2×C22⋊Q8—51no—
315C2×C22⋊Q8—101no—
316C2×#121—51no—
317C2×C4×Q8—51no—
318C2×C4×Q8—51no—
319C2×C4×Q8—51no—
320C2×C4×D4—51no—
321C2×#117—51no—
322#501C2×D518yescomplemented
323#497—58no—
324#488—58no—
325#487—58no—
326#470—58no—
327#468—58no—
328#467—58no—
329#465—58no—
330#441—58no—
331#440—58no—
332C4×Q16—58no—
333C4×SD16—58no—
334C2×#107C2×D511yescharacteristic
335C2×#107C2×D511yescharacteristic
336C2×#106C2×D511yescharacteristic
337C2×#106C2×D511yescharacteristic
338C2×#103—51no—
339C2×#103—51no—
340C2×#103—51no—
341C2×#103—51no—
342C2×#103—51no—
343C2×#103—51no—
344C2×#102—51no—
345C2×#102—51no—
346#405—58no—
347C2×#97—51no—
348C2×#97C2×D511yescharacteristic
349C2×C4×C8—51no—
350C2×C4×C8—51no—
351C23×C5C22×D411yescharacteristic
352C22×D5—22no—
353C22×D5—22no—
354C22×D5—22no—
355C22×D5—22no—
356C22×D5—42no—
357C22×D5—42no—
358C22×D5—42no—
359C22×D5C22×D412yes—
360C5×Q8—84no—
361C2×C4×C5—22no—
362C2×C4×C5—22no—
363C2×C4×C5—22no—
364C2×C4×C5—22no—
365C2×C4×C5—22no—
366C2×C4×C5—22no—
367C2×C4×C5—42no—
368C2×C4×C5—42no—
369C2×C4×C5—42no—
370C2×C4×C5—42no—
371C2×C4×C5C22×D412yes—
372C2×C4×C5C22×D412yes—
373C2×C4×C5C22×D411yescharacteristic
374C2×C4×C5C2×#4112yes—
375C2×C4×C5C2×#4112yes—
376C2×C4×C5C2511yescharacteristic
377C2×Dic5—22no—
378C2×Dic5—22no—
379C2×Dic5—22no—
380C2×Dic5—22no—
381C2×Dic5—22no—
382C2×Dic5—22no—
383C2×Dic5—42no—
384C2×Dic5—42no—
385C2×Dic5—42no—
386C2×Dic5C22×D412yes—
387C2×Dic5C22×D412yes—
388C2×Dic5C22×D412yes—
389D20—22no—
390D20—22no—
391D20—42no—
392D20—84no—
393C4×D5—24no—
394C4×D5—22no—
395C4×D5—22no—
396C4×D5—84no—
397Dic10—22no—
398Dic10—22no—
399Dic10—22no—
400Dic10—22no—
401Dic10—22no—
402Dic10—22no—
403Dic10—42no—
404Dic10—42no—
405Dic10—42no—
406C5×C8C2×#4114yes—
407C5×C8C2×#4114yes—
408#168—22no—
409#168—22no—
410C22×Q8—21no—
411C22×Q8—51no—
412C22×Q8—51no—
413C22×Q8—51no—
414C22×D4—51no—
415C22×D4—101no—
416C23×C4—51no—
417C23×C4—101no—
418C2×Q16—54no—
419C2×Q16—54no—
420C2×Q16—104no—
421C2×Q16—104no—
422C2×SD16—54no—
423C2×SD16—54no—
424C2×SD16—104no—
425C2×SD16—104no—
426C2×M16—54no—
427C2×M16—104no—
428C22×C8—51no—
429C22×C8—51no—
430C22×C8—54no—
431C22×C8—104no—
432C22×C8C22×D511yescharacteristic
433C22×C8C22×D511yescharacteristic
434C4⋊Q8—22no—
435C4⋊Q8—54no—
436C4⋊Q8—102no—
437C4⋊Q8C22×D514yes—
438#126—108no—
439#126—108no—
440#126—108no—
441#125—22no—
442#125—108no—
443#125—108no—
444#125C22×D514yes—
445#124—54no—
446#124—108no—
447#124—102no—
448#123—108no—
449C22⋊Q8—54no—
450C22⋊Q8—54no—
451C22⋊Q8—54no—
452C22⋊Q8—102no—
453C22⋊Q8—102no—
454C22⋊Q8—102no—
455C22⋊Q8—108no—
456#121—54no—
457#121—102no—
458C4×Q8—54no—
459C4×Q8—54no—
460C4×Q8—54no—
461C4×Q8—102no—
462C4×Q8—102no—
463C4×Q8—102no—
464C4×D4—54no—
465C4×D4—102no—
466#117—54no—
467#117—54no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—21no—
471C2×C4⋊C4—51no—
472C2×C4⋊C4—51no—
473C2×C4⋊C4—101no—
474C2×C4⋊C4—101no—
475C2×C4⋊C4—101no—
476C2×C4⋊C4—101no—
477C2×C4⋊C4—101no—
478C2×C4⋊C4—101no—
479C2×C4⋊C4—101no—
480C2×C4⋊C4—101no—
481C2×C4⋊C4C22×D511yescharacteristic
482C2×C4⋊C4C22×D511yescharacteristic
483C2×C4⋊C4C22×D511yescharacteristic
484C2×C4⋊C4C22×D511yescharacteristic
485C2×C22⋊C4—51no—
486C2×C22⋊C4—51no—
487C2×C22⋊C4—101no—
488C2×C22⋊C4—101no—
489C2×C22⋊C4—101no—
490C2×C22⋊C4—101no—
491C2×C22⋊C4—101no—
492C2×C22⋊C4—101no—
493C2×C22⋊C4—101no—
494C2×C42—51no—
495C2×C42—101no—
496C2×C42—101no—
497C2×C42—101no—
498C2×C42C22×D511yescharacteristic
499#107C22×D514yes—
500#107C22×D514yes—
501#106C22×D514yes—
502#106C22×D514yes—
503#103—54no—
504#103—54no—
505#103—54no—
506#103—54no—
507#103—54no—
508#103—54no—
509#102—54no—
510#102—54no—
511#97—54no—
512#97C22×D514yes—
513C4×C8—54no—
514C4×C8—54no—
515C22×C5#53212yes—
516C22×C5#57712yes—
517C22×C5#57812yes—
518C22×C5C23×D411yescharacteristic
519C2×D5—22no—
520C2×D5—22no—
521C2×D5—22no—
522C2×D5—44no—
523C2×D5—42no—
524C2×D5—42no—
525C2×D5—42no—
526C2×D5—84no—
527C4×C5—22no—
528C4×C5—22no—
529C4×C5—42no—
530C4×C5—42no—
531C4×C5—42no—
532C4×C5—42no—
533C4×C5#53212yes—
534C4×C5C22×#4111yescharacteristic
535C4×C5C22×#4111yescharacteristic
536Dic5—22no—
537Dic5—22no—
538Dic5—22no—
539Dic5—42no—
540Dic5—42no—
541Dic5—42no—
542C24—51no—
543C24—101no—
544C2×Q8—24no—
545C2×Q8—52no—
546C2×Q8—52no—
547C2×Q8—52no—
548C2×Q8—82no—
549C2×Q8—101no—
550C2×Q8—101no—
551C2×Q8—101no—
552C2×Q8—102no—
553C2×Q8—102no—
554C2×Q8—102no—
555C2×Q8—102no—
556C2×Q8—102no—
557C2×Q8—102no—
558C2×D4—52no—
559C2×D4—104no—
560C2×D4—101no—
561C2×D4—102no—
562C2×D4—102no—
563C2×D4—402no—
564C22×C4—21no—
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—51no—
569C22×C4—51no—
570C22×C4—51no—
571C22×C4—52no—
572C22×C4—52no—
573C22×C4—104no—
574C22×C4—102no—
575C22×C4—102no—
576C22×C4—101no—
577C22×C4—101no—
578C22×C4—101no—
579C22×C4—402no—
580C22×C4D4×D511yescharacteristic
581C22×C4D4×D511yescharacteristic
582C22×C4C23×D511yescharacteristic
583Q16—108no—
584Q16—108no—
585SD16—108no—
586SD16—108no—
587M16—108no—
588C2×C8—52no—
589C2×C8—52no—
590C2×C8—102no—
591C2×C8—102no—
592C2×C8—108no—
593C2×C8#71314yes—
594C2×C8#71314yes—
595C2×C8C23×D512yes—
596C2×C8C23×D512yes—
597C4⋊C4—24no—
598C4⋊C4—24no—
599C4⋊C4—24no—
600C4⋊C4—21no—
601C4⋊C4—21no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—54no—
605C4⋊C4—54no—
606C4⋊C4—104no—
607C4⋊C4—104no—
608C4⋊C4—104no—
609C4⋊C4—104no—
610C4⋊C4—104no—
611C4⋊C4—104no—
612C4⋊C4—104no—
613C4⋊C4—104no—
614C4⋊C4C23×D512yes—
615C4⋊C4C23×D512yes—
616C4⋊C4C23×D512yes—
617C4⋊C4C23×D512yes—
618C22⋊C4—54no—
619C22⋊C4—54no—
620C22⋊C4—104no—
621C22⋊C4—104no—
622C22⋊C4—104no—
623C22⋊C4—104no—
624C22⋊C4—104no—
625C22⋊C4—104no—
626C22⋊C4—104no—
627C42—52no—
628C42—52no—
629C42—104no—
630C42—104no—
631C42—104no—
632C42D4×D512yes—
633C42C23×D512yes—
634C2×C5#317814yescomplemented
635C2×C5C2×#53211yescharacteristic
636C2×C5C2×#57711yescharacteristic
637C2×C5C2×#57811yescharacteristic
638D5—42no—
639D5—82no—
640C23—52no—
641C23—102no—
642C23—102no—
643C23—102no—
644C23—102no—
645C23—202no—
646C23—202no—
647C23—202no—
648C23C2×D4×D511yescharacteristic
649Q8—84no—
650Q8—102no—
651Q8—102no—
652Q8—102no—
653Q8—102no—
654Q8—102no—
655Q8—102no—
656Q8—202no—
657Q8—202no—
658Q8—202no—
659D4—102no—
660D4—102no—
661D4—202no—
662D4—404no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—52no—
674C2×C4—52no—
675C2×C4—52no—
676C2×C4—102no—
677C2×C4—102no—
678C2×C4—102no—
679C2×C4—104no—
680C2×C4—102no—
681C2×C4—102no—
682C2×C4—102no—
683C2×C4—102no—
684C2×C4—102no—
685C2×C4—202no—
686C2×C4—202no—
687C2×C4—202no—
688C2×C4—404no—
689C2×C4C2×D4×D512yes—
690C2×C4C2×D4×D512yes—
691C2×C4C2×D4×D511yescharacteristic
692C2×C4C2×#71312yes—
693C2×C4C2×#71312yes—
694C2×C4C24×D511yescharacteristic
695C8—102no—
696C8—102no—
697C8C2×#71314yes—
698C8C2×#71314yes—
699C5C2×#317811yescharacteristic, complemented, Sylow
700C22—102no—
701C22—102no—
702C22—102no—
703C22—204no—
704C22—202no—
705C22—202no—
706C22—202no—
707C22—404no—
708C22#6605912yes—
709C22#6610912yes—
710C22#6611312yes—
711C22C22×D4×D511yescharacteristic
712C4—22no—
713C4—22no—
714C4—42no—
715C4—42no—
716C4—42no—
717C4—42no—
718C4—102no—
719C4—102no—
720C4—102no—
721C4—202no—
722C4—202no—
723C4—202no—
724C4#6605912yes—
725C4C22×#71311yescharacteristic
726C4C22×#71311yescharacteristic
727C2—202no—
728C2—402no—
729C2#1061369114yesdirect product factor
730C2C2×#6605911yescharacteristic
731C2C2×#6610911yescharacteristic
732C2C2×#6611311yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#501C2
socleC23×C5C22×D4
prime radicalC2×#4041C22
hypercenterC2×#501D5
hypocenterC5C2×#3178
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#501

Complements

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

NH ≅ G/Ntype
2. C2×#66031C2semidirect
3. C2×C5×#501C2semidirect
4. C2×#65382C2semidirect
5. C2×#65357C2semidirect
6. #10613691C2direct (N × H)
8. C2×#65176C2semidirect
9. C2×#65178C2semidirect
10. C2×#65162C2semidirect
11. C2×#65157C2semidirect
13. C2×#65142C2semidirect
14. C2×#65141C2semidirect
15. C2×#65004C2semidirect
16. C2×#64997C2semidirect
30. #66031C22semidirect
48. C5×#501C22semidirect
56. #65382C22semidirect
57. #65357C22semidirect
67. #65178C22semidirect
68. #65176C22semidirect
70. #65162C22semidirect
71. #65157C22semidirect
73. #65142C22semidirect
74. #65141C22semidirect
75. #65004C22semidirect
76. #64997C22semidirect
186. C2×#501D5semidirect
322. #501C2×D5semidirect
634. C2×C5#3178semidirect
699. C5C2×#3178semidirect
729. C2#10613691direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#660672
C2×#660312
C2×C5×#5012
C2×#653822
C2×#653572
#106136912
C2×#651752
C2×#651762
C2×#651782
C2×#651622
C2×#651572
C2×#651532
C2×#651422
C2×#651412
C2×#650042
C2×#649972
C2×#31785