Finite Group Databasebeta

← C2×#10612834 #12979804

Subgroups — C2×#10612834 #12979804

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×#65903C211yesmaximal, characteristic, complemented
3C2×C5×#477C211yesmaximal, characteristic, complemented
4C2×#65369C211yesmaximal, characteristic, complemented
5C2×#65315C211yesmaximal, characteristic
6#10612834C2116yesmaximal, direct product factor
7C2×#65180C211yesmaximal, characteristic
8C2×#65179C211yesmaximal, characteristic
9C2×#65165C211yesmaximal, characteristic, complemented
10C2×#65163C211yesmaximal, characteristic, complemented
11C2×#65136C211yesmaximal, characteristic
12C2×#65117C211yesmaximal, characteristic, complemented
13C2×#65083C211yesmaximal, characteristic, complemented
14C2×#65080C211yesmaximal, characteristic, complemented
15C2×#65106C211yesmaximal, characteristic
16C2×#65077C211yesmaximal, characteristic
17C22×Q8×D5—21no—
18C2×C5×C4⋊Q8C2211yescharacteristic
19C2×C4×C5×Q8C2211yescharacteristic
20C2×#4092—21no—
21C2×Q8×Dic5C2211yescharacteristic
22C2×Q8×Dic5C2211yescharacteristic
23C22×#688C2211yescharacteristic
24#66061—24no—
25#66061C2218yes—
26#65903—24no—
27#65903C2218yescomplemented
28C2×#4042—21no—
29C2×#4042—21no—
30C2×#4039C2211yescharacteristic
31C2×#4039C2211yescharacteristic
32C2×#4036—21no—
33C2×#4036C2211yescharacteristic
34C2×#4034—21no—
35C2×#4034C2211yescharacteristic
36C2×#4034C2211yescharacteristic
37C2×#4034C2211yescharacteristic
38C2×C4×D20C2211yescharacteristic
39C2×#4016—21no—
40C2×#4016C2211yescharacteristic
41C2×C4×Dic10—21no—
42C2×C4×Dic10C2211yescharacteristic
43C5×#477C2218yescomplemented
44C2×C5×#107C2211yescharacteristic
45C2×C5×#107C2211yescharacteristic
46C2×C5×C4⋊C8C2211yescharacteristic
47C2×C5×#103C2211yescharacteristic
48C2×C5×#103C2211yescharacteristic
49C2×#3967C2211yescharacteristic
50C2×#3953C2211yescharacteristic
51C2×#3953C2211yescharacteristic
52C2×#3950C2211yescharacteristic
53C2×#3949C2211yescharacteristic
54C2×#3947C2211yescharacteristic
55C2×#3946C2211yescharacteristic
56C2×#3946C2211yescharacteristic
57C2×C8×Dic5C2211yescharacteristic
58#65369C2218yescomplemented
59#65315C2218yes—
60C2×#3941C2211yescharacteristic
61C2×#3940C2211yescharacteristic
62C2×#3940C2211yescharacteristic
63C2×#3939C2211yescharacteristic
64C2×#3939C2211yescharacteristic
65C2×#3939C2211yescharacteristic
66C2×#3935C2211yescharacteristic
67#65180C2218yes—
68#65179C2218yes—
69#65165C2218yescomplemented
70#65163C2218yescomplemented
71#65136C2218yes—
72#65117C2218yescomplemented
73#65106C2218yes—
74#65083C2218yescomplemented
75#65080C2218yescomplemented
76#65077C2218yes—
77C2×#3386—51nomaximal, Sylow
78C22×C5×Q8—21no—
79C22×C5×Q8C2311yescharacteristic
80C2×Q8×D5—28no—
81C2×Q8×D5—48no—
82C22×D20C2311yescharacteristic
83C22×C4×D5—21no—
84C22×C4×D5—21no—
85C22×C4×D5—21no—
86C22×Dic10—21no—
87C22×Dic10—21no—
88C22×Dic10—21no—
89C22×Dic10D411yescharacteristic
90C22×C5×C8C2311yescharacteristic
91C22×C5×C8C2311yescharacteristic
92C5×C4⋊Q8—22no—
93C5×C4⋊Q8C2314yes—
94C4×C5×Q8—22no—
95C4×C5×Q8C2314yes—
96C2×C5×C4⋊C4—21no—
97C2×C5×C4⋊C4—21no—
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C4⋊C4C2311yescharacteristic
100C2×C5×C4⋊C4C2311yescharacteristic
101C2×C42×C5—21no—
102C2×C42×C5C2311yescharacteristic
103#4092—28no—
104Q8×Dic5—22no—
105Q8×Dic5—22no—
106Q8×Dic5C2314yes—
107Q8×Dic5C2314yes—
108C2×#688Q818yescomplemented
109C2×#688C2314yes—
110C2×#685—21no—
111C2×#685—21no—
112C2×#685—21no—
113C2×C4⋊Dic5—21no—
114C2×C4⋊Dic5—21no—
115C2×C4⋊Dic5—21no—
116C2×C4⋊Dic5D411yescharacteristic
117C2×C4⋊Dic5C2311yescharacteristic
118C2×C4⋊Dic5C2311yescharacteristic
119C2×C4⋊Dic5C2311yescharacteristic
120C2×#683—21no—
121C2×#683—21no—
122C2×#683—21no—
123C2×#683—21no—
124C2×#683—21no—
125C2×#683—21no—
126C2×#683D411yescharacteristic
127C2×#683D411yescharacteristic
128C2×C4×Dic5—21no—
129C2×C4×Dic5—21no—
130C2×C4×Dic5C2311yescharacteristic
131C2×C4×Dic5C2311yescharacteristic
132C22×#168C2311yescharacteristic
133C22×#168C2311yescharacteristic
134#4042—28no—
135#4042—28no—
136#4039—22no—
137#4039—22no—
138#4039C2314yes—
139#4039C2314yes—
140#4036—28no—
141#4036—22no—
142#4036C2314yes—
143#4034—28no—
144#4034—22no—
145#4034—22no—
146#4034—22no—
147#4034C2314yes—
148#4034C2314yes—
149#4034C2314yes—
150C4×D20—22no—
151C4×D20C2314yes—
152#4016—22no—
153#4016—28no—
154#4016C2314yes—
155C4×Dic10—28no—
156C4×Dic10D414yes—
157C4×Dic10C2314yes—
158C5×#107C2314yes—
159C5×#107C2314yes—
160C5×C4⋊C8C2314yes—
161C5×#103C2314yes—
162C5×#103C2314yes—
163#3967C2314yes—
164#3953C2314yes—
165#3953C2314yes—
166#3950C2314yes—
167#3949C2314yes—
168#3947C2314yes—
169#3946C2314yes—
170#3946C2314yes—
171C8×Dic5C2314yes—
172#3941C2314yes—
173#3940C2314yes—
174#3940C2314yes—
175#3939C2314yes—
176#3939C2314yes—
177#3939C2314yes—
178#3935C2314yes—
179C2×#557—51no—
180C2×D4×Q8—51no—
181#3386—516no—
182C2×#501—51no—
183C2×#501—51no—
184C2×#500—51no—
185C2×#477—51no—
186C2×#477D511yescharacteristic, complemented
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—21no—
197C2×C5×Q8—24no—
198C2×C5×Q8—22no—
199C2×C5×Q8—44no—
200C2×C5×Q8C2×Q814yescomplemented
201C2×C5×Q8C2412yes—
202C22×C4×C5—21no—
203C22×C4×C5—21no—
204C22×C4×C5—21no—
205C22×C4×C5—21no—
206C22×C4×C5C2×D411yescharacteristic
207C22×C4×C5C2×D411yescharacteristic
208C22×C4×C5C2411yescharacteristic
209C22×Dic5—21no—
210C22×Dic5—21no—
211C22×Dic5—21no—
212C22×Dic5C2×D411yescharacteristic
213C22×Dic5C2×D411yescharacteristic
214C22×Dic5C2×D411yescharacteristic
215C22×Dic5C2×D411yescharacteristic
216Q8×D5—432no—
217C2×D20—21no—
218C2×D20—22no—
219C2×D20C2×Q814yes—
220C2×D20C2412yes—
221C2×C4×D5—24no—
222C2×C4×D5—24no—
223C2×C4×D5—24no—
224C2×C4×D5—44no—
225C2×C4×D5—44no—
226C2×C4×D5—44no—
227C2×Dic10—24no—
228C2×Dic10—24no—
229C2×Dic10—24no—
230C2×Dic10—24no—
231C2×Dic10—44no—
232C2×Dic10—44no—
233C2×Dic10—44no—
234C2×Dic10C2×D414yes—
235C2×C5×C8—22no—
236C2×C5×C8—22no—
237C2×C5×C8C2412yes—
238C2×C5×C8C2412yes—
239C5×C4⋊C4—24no—
240C5×C4⋊C4—24no—
241C5×C4⋊C4—21no—
242C5×C4⋊C4—21no—
243C5×C4⋊C4—21no—
244C5×C4⋊C4C2412yes—
245C5×C4⋊C4C2412yes—
246C5×C4⋊C4C2412yes—
247C42×C5—24no—
248C42×C5C2×D412yes—
249C42×C5C2412yes—
250#688C2×Q8116yescomplemented
251#685—24no—
252#685—24no—
253#685—24no—
254C4⋊Dic5—21no—
255C4⋊Dic5—21no—
256C4⋊Dic5—21no—
257C4⋊Dic5—24no—
258C4⋊Dic5—24no—
259C4⋊Dic5—24no—
260C4⋊Dic5C2×D414yes—
261C4⋊Dic5C2412yes—
262C4⋊Dic5C2412yes—
263C4⋊Dic5C2412yes—
264#683—24no—
265#683—24no—
266#683—24no—
267#683—24no—
268#683—24no—
269#683—24no—
270#683C2×D414yes—
271#683C2×D414yes—
272C4×Dic5—24no—
273C4×Dic5—24no—
274C4×Dic5C2×D412yes—
275C4×Dic5C2×D412yes—
276C4×Dic5C2412yes—
277C4×Dic5C2412yes—
278C2×#168—22no—
279C2×#168C2×Q814yescomplemented
280C2×#168C2412yes—
281C2×#168C2412yes—
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—51no—
295C2×#125—101no—
296C2×#125—101no—
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—101no—
304C2×C4×Q8C2×D511yescharacteristic
305C2×C4×D4—51no—
306C2×C4×D4—51no—
307C2×C4×D4—51no—
308#501—58no—
309#501—58no—
310#500—58no—
311#478—58no—
312#478—58no—
313#477—58no—
314#477C2×D518yescomplemented
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×#106—51no—
329C2×#106—51no—
330C2×C4⋊C8—51no—
331C2×C4⋊C8—51no—
332C2×C4⋊C8C2×D511yescharacteristic
333C2×#103—51no—
334C2×#103C2×D511yescharacteristic
335C2×#103C2×D511yescharacteristic
336C2×#102—51no—
337C2×#102—51no—
338C2×#102—51no—
339C2×#97—51no—
340C2×#97—51no—
341C2×C4×C8—51no—
342C23×C5C22×D411yescharacteristic
343C22×D5—24no—
344C22×D5—22no—
345C22×D5—42no—
346C22×D5—42no—
347C5×Q8—24no—
348C5×Q8—22no—
349C5×Q8—48no—
350C5×Q8C22×Q814yescomplemented
351C2×C4×C5—24no—
352C2×C4×C5—22no—
353C2×C4×C5—22no—
354C2×C4×C5—22no—
355C2×C4×C5—22no—
356C2×C4×C5—22no—
357C2×C4×C5—22no—
358C2×C4×C5—42no—
359C2×C4×C5—42no—
360C2×C4×C5—42no—
361C2×C4×C5C22×D412yes—
362C2×C4×C5C22×D412yes—
363C2×C4×C5C22×D411yescharacteristic
364C2×C4×C5C22×Q812yes—
365C2×C4×C52−1+412yes—
366C2×C4×C5C2511yescharacteristic
367C2×Dic5—22no—
368C2×Dic5—22no—
369C2×Dic5—22no—
370C2×Dic5—22no—
371C2×Dic5—22no—
372C2×Dic5—22no—
373C2×Dic5—42no—
374C2×Dic5—42no—
375C2×Dic5—42no—
376C2×Dic5AGL(1,ℤ/8)14yes—
377C2×Dic5C22×D412yes—
378C2×Dic5C22×D412yes—
379C2×Dic5C22×D412yes—
380C2×Dic5C22×D412yes—
381D20—24no—
382D20—22no—
383D20C22×Q814yes—
384C4×D5—48no—
385C4×D5—48no—
386C4×D5—48no—
387Dic10—28no—
388Dic10—48no—
389Dic10—48no—
390Dic10—48no—
391C5×C8—22no—
392C5×C8—22no—
393#168—22no—
394#168C22×Q814yescomplemented
395C22×Q8—21no—
396C22×Q8—51no—
397C22×Q8—101no—
398C22×Q8—101no—
399C22×Q8—101no—
400C22×Q8—108no—
401C22×Q8—208no—
402C22×Q8C22×D511yescharacteristic
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—54no—
423#125—54no—
424#125—108no—
425#125—102no—
426#125—108no—
427#125—102no—
428C22⋊Q8—108no—
429C22⋊Q8—108no—
430C22⋊Q8—108no—
431C4×Q8—22no—
432C4×Q8—54no—
433C4×Q8—54no—
434C4×Q8—54no—
435C4×Q8—54no—
436C4×Q8—108no—
437C4×Q8—102no—
438C4×Q8—102no—
439C4×Q8C22×D514yes—
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—51no—
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⋊C4—101no—
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—21no—
470C2×C42—51no—
471C2×C42—51no—
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#106—54no—
483#106—54no—
484C4⋊C8—54no—
485C4⋊C8—54no—
486C4⋊C8C22×D514yes—
487#103—54no—
488#103C22×D514yes—
489#103C22×D514yes—
490#102—54no—
491#102—54no—
492#102—54no—
493#97—54no—
494#97—54no—
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—24no—
505C4×C5—22no—
506C4×C5—22no—
507C4×C5—42no—
508C4×C5—42no—
509C4×C5—42no—
510C4×C5D4×Q812yes—
511C4×C5C23×Q811yescharacteristic
512C4×C5C2×2−1+411yescharacteristic
513Dic5—22no—
514Dic5—22no—
515Dic5—22no—
516Dic5—42no—
517Dic5—42no—
518Dic5—42no—
519Dic5C2×AGL(1,ℤ/8)14yes—
520C24—101no—
521C2×Q8—21no—
522C2×Q8—24no—
523C2×Q8—22no—
524C2×Q8—44no—
525C2×Q8—54no—
526C2×Q8—104no—
527C2×Q8—104no—
528C2×Q8—104no—
529C2×Q8—104no—
530C2×Q8—204no—
531C2×Q8—204no—
532C2×Q8—204no—
533C2×Q8—2032no—
534C2×Q8Q8×D514yescomplemented
535C2×Q8C23×D512yes—
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—22no—
563C2×C8—54no—
564C2×C8—52no—
565C2×C8—52no—
566C2×C8—102no—
567C2×C8C23×D512yes—
568C2×C8C23×D512yes—
569C4⋊C4—24no—
570C4⋊C4—24no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—54no—
575C4⋊C4—54no—
576C4⋊C4—54no—
577C4⋊C4—52no—
578C4⋊C4—52no—
579C4⋊C4—52no—
580C4⋊C4—104no—
581C4⋊C4—104no—
582C4⋊C4—104no—
583C4⋊C4—104no—
584C4⋊C4—104no—
585C4⋊C4—104no—
586C4⋊C4—104no—
587C4⋊C4—101no—
588C4⋊C4—101no—
589C4⋊C4—101no—
590C4⋊C4—104no—
591C4⋊C4—104no—
592C4⋊C4C23×D512yes—
593C4⋊C4C23×D512yes—
594C4⋊C4C23×D512yes—
595C22⋊C4—104no—
596C22⋊C4—104no—
597C22⋊C4—104no—
598C42—24no—
599C42—52no—
600C42—52no—
601C42—52no—
602C42—52no—
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—24no—
618Q8—22no—
619Q8—48no—
620Q8—108no—
621Q8—208no—
622Q8—208no—
623Q8—208no—
624Q8C2×Q8×D514yescomplemented
625D4—54no—
626D4—104no—
627D4—102no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
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—102no—
644C2×C4—102no—
645C2×C4—102no—
646C2×C4—102no—
647C2×C4—102no—
648C2×C4—102no—
649C2×C4—208no—
650C2×C4—208no—
651C2×C4—208no—
652C2×C4—202no—
653C2×C4—202no—
654C2×C4—202no—
655C2×C4C2×D4×D512yes—
656C2×C4C2×D4×D512yes—
657C2×C4C2×D4×D511yescharacteristic
658C2×C4C2×Q8×D512yes—
659C2×C4#415012yes—
660C2×C4C24×D511yescharacteristic
661C8—22no—
662C8—22no—
663C8—54no—
664C8—102no—
665C5C2×#338611yescharacteristic, complemented, Sylow
666C22—104no—
667C22—208no—
668C22—202no—
669C22—202no—
670C22#6596612yes—
671C22#6610012yes—
672C22D5×AGL(1,ℤ/8)12yes—
673C22C22×D4×D511yescharacteristic
674C4—24no—
675C4—22no—
676C4—22no—
677C4—42no—
678C4—42no—
679C4—42no—
680C4—54no—
681C4—102no—
682C4—102no—
683C4—102no—
684C4—202no—
685C4—202no—
686C4—202no—
687C4#6596612yes—
688C4C22×Q8×D511yescharacteristic
689C4C2×#415011yescharacteristic
690C2—204no—
691C2#1061283414yesdirect product factor
692C2C2×#6596611yescharacteristic
693C2C2×#6610011yescharacteristic
694C2C2×D5×AGL(1,ℤ/8)11yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#477C2
socleC23×C5C22×D4
prime radicalC22×D20C23
hypercenterC2×#477D5
hypocenterC5C2×#3386
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#477

Complements

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

NH ≅ G/Ntype
2. C2×#65903C2semidirect
3. C2×C5×#477C2semidirect
4. C2×#65369C2semidirect
6. #10612834C2direct (N × H)
9. C2×#65165C2semidirect
10. C2×#65163C2semidirect
12. C2×#65117C2semidirect
13. C2×#65083C2semidirect
14. C2×#65080C2semidirect
27. #65903C22semidirect
43. C5×#477C22semidirect
58. #65369C22semidirect
69. #65165C22semidirect
70. #65163C22semidirect
72. #65117C22semidirect
74. #65083C22semidirect
75. #65080C22semidirect
108. C2×#688Q8semidirect
186. C2×#477D5semidirect
200. C2×C5×Q8C2×Q8semidirect
250. #688C2×Q8semidirect
279. C2×#168C2×Q8semidirect
314. #477C2×D5semidirect
350. C5×Q8C22×Q8semidirect
394. #168C22×Q8semidirect
534. C2×Q8Q8×D5semidirect
607. C2×C5#3386semidirect
624. Q8C2×Q8×D5semidirect
665. C5C2×#3386semidirect
691. C2#10612834direct (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×#659032
C2×C5×#4772
C2×#653692
C2×#653152
#106128342
C2×#651802
C2×#651792
C2×#651652
C2×#651632
C2×#651362
C2×#651172
C2×#650832
C2×#650802
C2×#651062
C2×#650772
C2×#33865