Finite Group Databasebeta

← C2×#10613697 #12979798

Subgroups — C2×#10613697 #12979798

Order 1280.

2006 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66061C211yesmaximal, characteristic
2C2×#66019C211yesmaximal, characteristic, complemented
3C2×C5×#501C211yesmaximal, characteristic, complemented
4C2×#65380C211yesmaximal, characteristic, complemented
5C2×#65355C211yesmaximal, characteristic
6#10613697C2116yesmaximal, direct product factor
7C2×#65164C211yesmaximal, characteristic, complemented
8C2×#65179C211yesmaximal, characteristic
9C2×#65163C211yesmaximal, characteristic, complemented
10C2×#65178C211yesmaximal, characteristic
11C2×#65143C211yesmaximal, characteristic, complemented
12C2×#65160C211yesmaximal, characteristic
13C2×#65145C211yesmaximal, characteristic, complemented
14C2×#65141C211yesmaximal, characteristic
15C2×#64999C211yesmaximal, characteristic
16C2×#64990C211yesmaximal, characteristic, complemented
17C22×Q8×D5—21no—
18C2×C5×C4⋊Q8C2211yescharacteristic
19C2×C5×#125C2211yescharacteristic
20C2×#4092—21no—
21C22×#677C2211yescharacteristic
22#66061—24no—
23#66061C2218yes—
24#66019—24no—
25#66019C2218yescomplemented
26C2×#4042—21no—
27C2×#4042—21no—
28C2×#4039C2211yescharacteristic
29C2×#4039C2211yescharacteristic
30C2×#4036C2211yescharacteristic
31C2×#4035—21no—
32C2×#4035—21no—
33C2×#4034—21no—
34C2×#4034C2211yescharacteristic
35C2×#4034C2211yescharacteristic
36C2×#4034C2211yescharacteristic
37C2×#4033—21no—
38C2×#4033C2211yescharacteristic
39C2×#4033C2211yescharacteristic
40C2×C4×D20C2211yescharacteristic
41C2×C4×Dic10C2211yescharacteristic
42C2×C4×Dic10C2211yescharacteristic
43C5×#501C2218yescomplemented
44C2×C5×#107C2211yescharacteristic
45C2×C5×#107C2211yescharacteristic
46C2×C5×#106C2211yescharacteristic
47C2×C5×#106C2211yescharacteristic
48C2×C5×#97C2211yescharacteristic
49C2×#3953C2211yescharacteristic
50C2×#3950C2211yescharacteristic
51C2×#3948C2211yescharacteristic
52C2×#3947C2211yescharacteristic
53C2×#3946C2211yescharacteristic
54C2×#3946C2211yescharacteristic
55C2×C8×Dic5C2211yescharacteristic
56#65380C2218yescomplemented
57#65355C2218yes—
58C2×#3942C2211yescharacteristic
59C2×#3942C2211yescharacteristic
60C2×#3941C2211yescharacteristic
61C2×#3941C2211yescharacteristic
62C2×#3940C2211yescharacteristic
63C2×#3939C2211yescharacteristic
64C2×#3939C2211yescharacteristic
65C2×#3939C2211yescharacteristic
66C2×C4⋊#168C2211yescharacteristic
67#65179C2218yes—
68#65178C2218yes—
69#65164C2218yescomplemented
70#65163C2218yescomplemented
71#65160C2218yes—
72#65145C2218yescomplemented
73#65143C2218yescomplemented
74#65141C2218yes—
75#64999C2218yes—
76#64990C2218yescomplemented
77C2×#3386—51nomaximal, Sylow
78C22×C5×Q8—21no—
79C2×Q8×D5—28no—
80C2×Q8×D5—48no—
81C22×D20C2311yescharacteristic
82C22×C4×D5—21no—
83C22×C4×D5—21no—
84C22×C4×D5—21no—
85C22×Dic10—21no—
86C22×Dic10—21no—
87C22×Dic10—21no—
88C22×Dic10D411yescharacteristic
89C22×Dic10C2311yescharacteristic
90C22×C5×C8C2311yescharacteristic
91C22×C5×C8C2311yescharacteristic
92C5×C4⋊Q8—22no—
93C5×C4⋊Q8C2314yes—
94C5×#125—22no—
95C5×#125C2314yes—
96C2×C5×C4⋊C4—21no—
97C2×C5×C4⋊C4—21no—
98C2×C5×C4⋊C4—21no—
99C2×C5×C4⋊C4C2311yescharacteristic
100C2×C5×C4⋊C4C2311yescharacteristic
101C2×C5×C4⋊C4C2311yescharacteristic
102C2×C5×C4⋊C4C2311yescharacteristic
103C2×C42×C5C2311yescharacteristic
104#4092—28no—
105C2×#685—21no—
106C2×#685—21no—
107C2×#685—21no—
108C2×C4⋊Dic5—21no—
109C2×C4⋊Dic5D411yescharacteristic
110C2×C4⋊Dic5C2311yescharacteristic
111C2×C4⋊Dic5C2311yescharacteristic
112C2×#683—21no—
113C2×#683—21no—
114C2×#683—21no—
115C2×#683—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
125C2×C4×Dic5C2311yescharacteristic
126C22×#168C2311yescharacteristic
127C22×#168C2311yescharacteristic
128C2×#677Q818yescomplemented
129C2×#677C2314yes—
130#4042—28no—
131#4042—28no—
132#4039—22no—
133#4039—22no—
134#4039C2314yes—
135#4039C2314yes—
136#4036—22no—
137#4036C2314yes—
138#4035—28no—
139#4035—28no—
140#4034—28no—
141#4034—22no—
142#4034—22no—
143#4034—22no—
144#4034C2314yes—
145#4034C2314yes—
146#4034C2314yes—
147#4033—28no—
148#4033—22no—
149#4033—22no—
150#4033C2314yes—
151#4033C2314yes—
152C4×D20—22no—
153C4×D20C2314yes—
154C4×Dic10—22no—
155C4×Dic10D414yes—
156C4×Dic10C2314yes—
157C4×Dic10C2314yes—
158C5×#107C2314yes—
159C5×#107C2314yes—
160C5×#106C2314yes—
161C5×#106C2314yes—
162C5×#97C2314yes—
163#3953C2314yes—
164#3950C2314yes—
165#3948C2314yes—
166#3947C2314yes—
167#3946C2314yes—
168#3946C2314yes—
169C8×Dic5C2314yes—
170#3942C2314yes—
171#3942C2314yes—
172#3941C2314yes—
173#3941C2314yes—
174#3940C2314yes—
175#3939C2314yes—
176#3939C2314yes—
177#3939C2314yes—
178C4⋊#168C2314yes—
179C2×#557—51no—
180C2×D4×Q8—51no—
181#3386—516no—
182C2×#501—51no—
183C2×#501D511yescharacteristic, complemented
184C2×#500—51no—
185C2×#477—51no—
186C2×#477—51no—
187C2×#475—51no—
188C2×#478—51no—
189C2×#478—51no—
190C2×#474—51no—
191C2×#446—51no—
192C2×#440—51no—
193C2×#440—51no—
194C2×C4×SD16—51no—
195C23×D5—21no—
196C2×C5×Q8—24no—
197C2×C5×Q8—44no—
198C22×C4×C5—21no—
199C22×C4×C5—21no—
200C22×C4×C5—21no—
201C22×C4×C5—21no—
202C22×C4×C5C2×D411yescharacteristic
203C22×C4×C5C2×D411yescharacteristic
204C22×C4×C5C2411yescharacteristic
205C22×Dic5—21no—
206C22×Dic5—21no—
207C22×Dic5—21no—
208C22×Dic5C2×D411yescharacteristic
209C22×Dic5C2×D411yescharacteristic
210C22×Dic5C2×D411yescharacteristic
211C22×Dic5C2×D411yescharacteristic
212Q8×D5—432no—
213C2×D20—21no—
214C2×D20—22no—
215C2×D20C2×Q814yes—
216C2×D20C2412yes—
217C2×C4×D5—24no—
218C2×C4×D5—24no—
219C2×C4×D5—24no—
220C2×C4×D5—44no—
221C2×C4×D5—44no—
222C2×C4×D5—44no—
223C2×Dic10—21no—
224C2×Dic10—22no—
225C2×Dic10—24no—
226C2×Dic10—24no—
227C2×Dic10—24no—
228C2×Dic10—24no—
229C2×Dic10—44no—
230C2×Dic10—44no—
231C2×Dic10—44no—
232C2×Dic10C2×D414yes—
233C2×Dic10C2×Q814yescomplemented
234C2×Dic10C2412yes—
235C2×C5×C8—22no—
236C2×C5×C8C2×Q814yescomplemented
237C2×C5×C8C2412yes—
238C2×C5×C8C2412yes—
239C5×C4⋊C4—24no—
240C5×C4⋊C4—24no—
241C5×C4⋊C4—24no—
242C5×C4⋊C4—21no—
243C5×C4⋊C4—21no—
244C5×C4⋊C4—21no—
245C5×C4⋊C4—21no—
246C5×C4⋊C4C2412yes—
247C5×C4⋊C4C2412yes—
248C5×C4⋊C4C2412yes—
249C5×C4⋊C4C2412yes—
250C42×C5C2×D412yes—
251C42×C5C2412yes—
252#685—24no—
253#685—24no—
254#685—24no—
255C4⋊Dic5—21no—
256C4⋊Dic5—21no—
257C4⋊Dic5—24no—
258C4⋊Dic5C2×D414yes—
259C4⋊Dic5C2412yes—
260C4⋊Dic5C2412yes—
261#683—24no—
262#683—24no—
263#683—24no—
264#683—24no—
265#683—24no—
266#683—24no—
267#683—24no—
268#683C2×D414yes—
269#683C2×D414yes—
270C4×Dic5—24no—
271C4×Dic5—24no—
272C4×Dic5—24no—
273C4×Dic5C2×D412yes—
274C4×Dic5C2×D412yes—
275C4×Dic5C2412yes—
276C4×Dic5C2412yes—
277C2×#168—22no—
278C2×#168—22no—
279C2×#168C2412yes—
280C2×#168C2412yes—
281#677C2×Q8116yescomplemented
282C23×Q8—101no—
283C22×SD16—51no—
284#557—58no—
285#557—104no—
286D4×Q8—58no—
287D4×Q8—104no—
288C2×C4⋊Q8—51no—
289C2×C4⋊Q8—51no—
290C2×C4⋊Q8—51no—
291C2×C4⋊Q8—101no—
292C2×C4⋊Q8C2×D511yescharacteristic
293C2×#125—51no—
294C2×#125—101no—
295C2×#125—101no—
296C2×#125C2×D511yescharacteristic
297C2×C22⋊Q8—101no—
298C2×C22⋊Q8—101no—
299C2×C22⋊Q8—101no—
300C2×C4×Q8—51no—
301C2×C4×Q8—51no—
302C2×C4×Q8—51no—
303C2×C4×Q8—51no—
304C2×C4×Q8—101no—
305C2×C4×D4—51no—
306C2×C4×D4—51no—
307C2×C4×D4—51no—
308#501—58no—
309#501C2×D518yescomplemented
310#500—58no—
311#478—58no—
312#478—58no—
313#477—58no—
314#477—58no—
315#475—58no—
316#474—58no—
317#446—58no—
318#440—58no—
319#440—58no—
320C4×SD16—58no—
321C2×#107—51no—
322C2×#107—51no—
323C2×#107—51no—
324C2×#107—51no—
325C2×#107C2×D511yescharacteristic
326C2×#107C2×D511yescharacteristic
327C2×#106—51no—
328C2×#106C2×D511yescharacteristic
329C2×#106C2×D511yescharacteristic
330C2×C4⋊C8—51no—
331C2×C4⋊C8—51no—
332C2×C4⋊C8—51no—
333C2×#103—51no—
334C2×#103—51no—
335C2×#103—51no—
336C2×#102—51no—
337C2×#102—51no—
338C2×#102—51no—
339C2×#97—51no—
340C2×#97C2×D511yescharacteristic
341C2×C4×C8—51no—
342C23×C5C22×D411yescharacteristic
343C22×D5—24no—
344C22×D5—22no—
345C22×D5—42no—
346C22×D5—42no—
347C5×Q8—48no—
348C2×C4×C5—22no—
349C2×C4×C5—22no—
350C2×C4×C5—22no—
351C2×C4×C5—22no—
352C2×C4×C5—22no—
353C2×C4×C5—22no—
354C2×C4×C5—42no—
355C2×C4×C5—42no—
356C2×C4×C5—42no—
357C2×C4×C5—42no—
358C2×C4×C5C22×D412yes—
359C2×C4×C5C22×D412yes—
360C2×C4×C5C22×D411yescharacteristic
361C2×C4×C5C22×Q812yes—
362C2×C4×C52−1+412yes—
363C2×C4×C5C2511yescharacteristic
364C2×Dic5—24no—
365C2×Dic5—22no—
366C2×Dic5—22no—
367C2×Dic5—22no—
368C2×Dic5—22no—
369C2×Dic5—22no—
370C2×Dic5—22no—
371C2×Dic5—42no—
372C2×Dic5—42no—
373C2×Dic5AGL(1,ℤ/8)14yes—
374C2×Dic5C22×D412yes—
375C2×Dic5C22×D412yes—
376C2×Dic5C22×D412yes—
377C2×Dic5C22×D412yes—
378D20—24no—
379D20—22no—
380D20C22×Q814yes—
381C4×D5—48no—
382C4×D5—48no—
383C4×D5—48no—
384Dic10—24no—
385Dic10—22no—
386Dic10—28no—
387Dic10—48no—
388Dic10—48no—
389Dic10—48no—
390Dic10C22×Q814yescomplemented
391C5×C8—22no—
392C5×C8C22×Q814yescomplemented
393#168—22no—
394#168—22no—
395C22×Q8—21no—
396C22×Q8—51no—
397C22×Q8—51no—
398C22×Q8—101no—
399C22×Q8—101no—
400C22×Q8—101no—
401C22×Q8—108no—
402C22×Q8—208no—
403C22×D4—51no—
404C23×C4—101no—
405C23×C4—101no—
406C23×C4—101no—
407C2×SD16—58no—
408C2×SD16—54no—
409C22×C8—51no—
410C22×C8—51no—
411C22×C8C22×D511yescharacteristic
412C22×C8C22×D511yescharacteristic
413C4⋊Q8—22no—
414C4⋊Q8—54no—
415C4⋊Q8—54no—
416C4⋊Q8—54no—
417C4⋊Q8—102no—
418C4⋊Q8—102no—
419C4⋊Q8—102no—
420C4⋊Q8—108no—
421C4⋊Q8C22×D514yes—
422#125—22no—
423#125—54no—
424#125—102no—
425#125—108no—
426#125—108no—
427#125C22×D514yes—
428C22⋊Q8—108no—
429C22⋊Q8—108no—
430C22⋊Q8—108no—
431C4×Q8—54no—
432C4×Q8—54no—
433C4×Q8—54no—
434C4×Q8—54no—
435C4×Q8—54no—
436C4×Q8—102no—
437C4×Q8—102no—
438C4×Q8—108no—
439C4×Q8—102no—
440C4×D4—54no—
441C4×D4—54no—
442C4×D4—54no—
443C4×D4—102no—
444C4×D4—102no—
445C4×D4—102no—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—51no—
450C2×C4⋊C4—51no—
451C2×C4⋊C4—51no—
452C2×C4⋊C4—51no—
453C2×C4⋊C4—51no—
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⋊C4C22×D511yescharacteristic
463C2×C4⋊C4C22×D511yescharacteristic
464C2×C4⋊C4C22×D511yescharacteristic
465C2×C4⋊C4C22×D511yescharacteristic
466C2×C22⋊C4—101no—
467C2×C22⋊C4—101no—
468C2×C22⋊C4—101no—
469C2×C42—51no—
470C2×C42—51no—
471C2×C42—101no—
472C2×C42—101no—
473C2×C42—101no—
474C2×C42C22×D511yescharacteristic
475#107—54no—
476#107—54no—
477#107—54no—
478#107—54no—
479#107C22×D514yes—
480#107C22×D514yes—
481#106—54no—
482#106C22×D514yes—
483#106C22×D514yes—
484C4⋊C8—54no—
485C4⋊C8—54no—
486C4⋊C8—54no—
487#103—54no—
488#103—54no—
489#103—54no—
490#102—54no—
491#102—54no—
492#102—54no—
493#97—54no—
494#97C22×D514yes—
495C4×C8—54no—
496C22×C5D4×Q812yes—
497C22×C5C2×AGL(1,ℤ/8)12yes—
498C22×C5#57812yes—
499C22×C5C23×D411yescharacteristic
500C2×D5—24no—
501C2×D5—48no—
502C2×D5—42no—
503C2×D5—42no—
504C4×C5—22no—
505C4×C5—22no—
506C4×C5—42no—
507C4×C5—42no—
508C4×C5—42no—
509C4×C5—42no—
510C4×C5D4×Q812yes—
511C4×C5C23×Q811yescharacteristic
512C4×C5C2×2−1+411yescharacteristic
513Dic5—24no—
514Dic5—22no—
515Dic5—22no—
516Dic5—22no—
517Dic5—42no—
518Dic5—42no—
519Dic5C2×AGL(1,ℤ/8)14yes—
520C24—101no—
521C2×Q8—24no—
522C2×Q8—44no—
523C2×Q8—54no—
524C2×Q8—54no—
525C2×Q8—52no—
526C2×Q8—104no—
527C2×Q8—104no—
528C2×Q8—104no—
529C2×Q8—104no—
530C2×Q8—101no—
531C2×Q8—102no—
532C2×Q8—204no—
533C2×Q8—204no—
534C2×Q8—204no—
535C2×Q8—2032no—
536C2×D4—54no—
537C2×D4—52no—
538C2×D4—101no—
539C2×D4—102no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—51no—
545C22×C4—51no—
546C22×C4—51no—
547C22×C4—51no—
548C22×C4—104no—
549C22×C4—104no—
550C22×C4—101no—
551C22×C4—101no—
552C22×C4—101no—
553C22×C4—104no—
554C22×C4—204no—
555C22×C4—204no—
556C22×C4—204no—
557C22×C4D4×D511yescharacteristic
558C22×C4D4×D511yescharacteristic
559C22×C4C23×D511yescharacteristic
560SD16—516no—
561C2×C8—22no—
562C2×C8—52no—
563C2×C8—52no—
564C2×C8—102no—
565C2×C8—102no—
566C2×C8Q8×D514yescomplemented
567C2×C8C23×D512yes—
568C2×C8C23×D512yes—
569C4⋊C4—24no—
570C4⋊C4—24no—
571C4⋊C4—24no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—54no—
577C4⋊C4—54no—
578C4⋊C4—54no—
579C4⋊C4—52no—
580C4⋊C4—52no—
581C4⋊C4—104no—
582C4⋊C4—104no—
583C4⋊C4—104no—
584C4⋊C4—104no—
585C4⋊C4—104no—
586C4⋊C4—104no—
587C4⋊C4—104no—
588C4⋊C4—101no—
589C4⋊C4—101no—
590C4⋊C4—104no—
591C4⋊C4C23×D512yes—
592C4⋊C4C23×D512yes—
593C4⋊C4C23×D512yes—
594C4⋊C4C23×D512yes—
595C22⋊C4—104no—
596C22⋊C4—104no—
597C22⋊C4—104no—
598C42—52no—
599C42—52no—
600C42—52no—
601C42—52no—
602C42—104no—
603C42—104no—
604C42—104no—
605C42D4×D512yes—
606C42C23×D512yes—
607C2×C5#338614yescomplemented
608C2×C5C2×D4×Q811yescharacteristic
609C2×C5C22×AGL(1,ℤ/8)11yescharacteristic
610C2×C5C2×#57811yescharacteristic
611D5—44no—
612C23—104no—
613C23—102no—
614C23—202no—
615C23—202no—
616C23C2×D4×D511yescharacteristic
617Q8—48no—
618Q8—54no—
619Q8—108no—
620Q8—104no—
621Q8—102no—
622Q8—208no—
623Q8—208no—
624Q8—208no—
625D4—54no—
626D4—104no—
627D4—102no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—54no—
639C2×C4—52no—
640C2×C4—52no—
641C2×C4—52no—
642C2×C4—52no—
643C2×C4—104no—
644C2×C4—102no—
645C2×C4—102no—
646C2×C4—102no—
647C2×C4—102no—
648C2×C4—102no—
649C2×C4—102no—
650C2×C4—208no—
651C2×C4—208no—
652C2×C4—208no—
653C2×C4—202no—
654C2×C4—202no—
655C2×C4C2×D4×D512yes—
656C2×C4C2×D4×D512yes—
657C2×C4C2×D4×D511yescharacteristic
658C2×C4C2×Q8×D512yes—
659C2×C4#414712yes—
660C2×C4C24×D511yescharacteristic
661C8—22no—
662C8—102no—
663C8—102no—
664C8C2×Q8×D514yescomplemented
665C5C2×#338611yescharacteristic, complemented, Sylow
666C22—104no—
667C22—208no—
668C22—202no—
669C22—202no—
670C22#6606112yes—
671C22D5×AGL(1,ℤ/8)12yes—
672C22#6611312yes—
673C22C22×D4×D511yescharacteristic
674C4—22no—
675C4—22no—
676C4—42no—
677C4—42no—
678C4—42no—
679C4—42no—
680C4—54no—
681C4—104no—
682C4—102no—
683C4—102no—
684C4—102no—
685C4—202no—
686C4—202no—
687C4#6606112yes—
688C4C22×Q8×D511yescharacteristic
689C4C2×#414711yescharacteristic
690C2—204no—
691C2#1061369714yesdirect product factor
692C2C2×#6606111yescharacteristic
693C2C2×D5×AGL(1,ℤ/8)11yescharacteristic
694C2C2×#6611311yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#501C2
socleC23×C5C22×D4
prime radicalC22×D20C23
hypercenterC2×#501D5
hypocenterC5C2×#3386
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×#66019C2semidirect
3. C2×C5×#501C2semidirect
4. C2×#65380C2semidirect
6. #10613697C2direct (N × H)
7. C2×#65164C2semidirect
9. C2×#65163C2semidirect
11. C2×#65143C2semidirect
13. C2×#65145C2semidirect
16. C2×#64990C2semidirect
25. #66019C22semidirect
43. C5×#501C22semidirect
56. #65380C22semidirect
69. #65164C22semidirect
70. #65163C22semidirect
72. #65145C22semidirect
73. #65143C22semidirect
76. #64990C22semidirect
128. C2×#677Q8semidirect
183. C2×#501D5semidirect
233. C2×Dic10C2×Q8semidirect
236. C2×C5×C8C2×Q8semidirect
281. #677C2×Q8semidirect
309. #501C2×D5semidirect
390. Dic10C22×Q8semidirect
392. C5×C8C22×Q8semidirect
566. C2×C8Q8×D5semidirect
607. C2×C5#3386semidirect
664. C8C2×Q8×D5semidirect
665. C5C2×#3386semidirect
691. C2#10613697direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#660612
C2×#660192
C2×C5×#5012
C2×#653802
C2×#653552
#106136972
C2×#651642
C2×#651792
C2×#651632
C2×#651782
C2×#651432
C2×#651602
C2×#651452
C2×#651412
C2×#649992
C2×#649902
C2×#33865