Finite Group Databasebeta

← C2×#10611491 #12979802

Subgroups — C2×#10611491 #12979802

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×#65903C211yesmaximal, characteristic, complemented
2C2×D4×Dic10C211yesmaximal, characteristic
3C2×C5×#440C211yesmaximal, characteristic
4C2×#65453C211yesmaximal, characteristic
5C2×SD16×Dic5C211yesmaximal, characteristic
6C2×#65310C211yesmaximal, characteristic, complemented
7C2×#65298C211yesmaximal, characteristic
8#10611491C2116yesmaximal, direct product factor
9C2×#65165C211yesmaximal, characteristic, complemented
10C2×#65163C211yesmaximal, characteristic, complemented
11C2×#65083C211yesmaximal, characteristic, complemented
12C2×#65080C211yesmaximal, characteristic, complemented
13C2×#65052C211yesmaximal, characteristic
14C2×#65048C211yesmaximal, characteristic
15C2×#64991C211yesmaximal, characteristic, complemented
16C2×#64990C211yesmaximal, characteristic, complemented
17C23×Dic10—21no—
18C22×C5×SD16C2211yescharacteristic
19C2×C4×C5×Q8C2211yescharacteristic
20C2×C4×C5×D4C2211yescharacteristic
21C2×Q8×Dic5C2211yescharacteristic
22C2×Q8×Dic5C2211yescharacteristic
23C2×D4×Dic5C2211yescharacteristic
24C2×D4×Dic5C2211yescharacteristic
25C2×#4070—21no—
26#65903—24no—
27#65903C2218yescomplemented
28D4×Dic10—24no—
29D4×Dic10C2218yes—
30C2×#4036—21no—
31C2×#4036C2211yescharacteristic
32C2×#4034—21no—
33C2×#4034C2211yescharacteristic
34C2×#4034C2211yescharacteristic
35C2×#4034C2211yescharacteristic
36C2×#4024—21no—
37C2×#4024—21no—
38C2×#4016—21no—
39C2×#4016C2211yescharacteristic
40C2×#4015C2211yescharacteristic
41C2×C4×Dic10—21no—
42C2×C4×Dic10C2211yescharacteristic
43C5×#440C2218yes—
44C2×C5×#107C2211yescharacteristic
45C2×C5×#103C2211yescharacteristic
46C2×C5×#102C2211yescharacteristic
47C2×C5×#97C2211yescharacteristic
48C2×#3967C2211yescharacteristic
49C2×#3967C2211yescharacteristic
50C2×#3964C2211yescharacteristic
51C2×#3964C2211yescharacteristic
52#65453C2218yes—
53SD16×Dic5C2218yes—
54C2×#3950C2211yescharacteristic
55C2×#3950C2211yescharacteristic
56C2×#3949C2211yescharacteristic
57C2×#3949C2211yescharacteristic
58C2×#3947C2211yescharacteristic
59C2×#3946C2211yescharacteristic
60C2×#3946C2211yescharacteristic
61C2×C8×Dic5C2211yescharacteristic
62#65310C2218yescomplemented
63#65298C2218yes—
64C2×#3940C2211yescharacteristic
65C2×#3939C2211yescharacteristic
66C2×#3939C2211yescharacteristic
67C2×#3939C2211yescharacteristic
68C2×C4⋊#168C2211yescharacteristic
69#65165C2218yescomplemented
70#65163C2218yescomplemented
71#65083C2218yescomplemented
72#65080C2218yescomplemented
73#65052C2218yes—
74#65048C2218yes—
75#64991C2218yescomplemented
76#64990C2218yescomplemented
77C2×#3386—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C22×C5×D4C2311yescharacteristic
80C23×C4×C5—21no—
81C23×Dic5—21no—
82C23×Dic5—21no—
83C22×Dic10—21no—
84C22×Dic10—21no—
85C22×Dic10—21no—
86C22×Dic10—21no—
87C22×Dic10—28no—
88C22×Dic10—48no—
89C22×Dic10D411yescharacteristic
90C2×C5×SD16Q818yescomplemented
91C2×C5×SD16C2314yes—
92C22×C5×C8C2311yescharacteristic
93C22×C5×C8C2311yescharacteristic
94C4×C5×Q8—22no—
95C4×C5×Q8C2314yes—
96C4×C5×D4—22no—
97C4×C5×D4C2314yes—
98C2×C5×C4⋊C4—21no—
99C2×C5×C4⋊C4C2311yescharacteristic
100C2×C5×C4⋊C4C2311yescharacteristic
101C2×C5×C22⋊C4—21no—
102C2×C42×C5—21no—
103C2×C42×C5C2311yescharacteristic
104C2×C22⋊Dic5—21no—
105C2×C22⋊Dic5—21no—
106Q8×Dic5—22no—
107Q8×Dic5—22no—
108Q8×Dic5C2314yes—
109Q8×Dic5C2314yes—
110D4×Dic5—22no—
111D4×Dic5—22no—
112D4×Dic5C2314yes—
113D4×Dic5C2314yes—
114C2×C4⋊Dic5—21no—
115C2×C4⋊Dic5—21no—
116C2×C4⋊Dic5—21no—
117C2×C4⋊Dic5—21no—
118C2×C4⋊Dic5D411yescharacteristic
119C2×C4⋊Dic5C2311yescharacteristic
120C2×C4⋊Dic5C2311yescharacteristic
121C2×C4⋊Dic5C2311yescharacteristic
122C2×C4⋊Dic5C2311yescharacteristic
123#4070—28no—
124C2×#683—21no—
125C2×#683—21no—
126C2×#683—21no—
127C2×#683—21no—
128C2×#683—21no—
129C2×#683—21no—
130C2×#683D411yescharacteristic
131C2×#683D411yescharacteristic
132C2×C4×Dic5—21no—
133C2×C4×Dic5—21no—
134C2×C4×Dic5C2311yescharacteristic
135C2×C4×Dic5C2311yescharacteristic
136C22×#168C2311yescharacteristic
137C22×#168C2311yescharacteristic
138#4036—28no—
139#4036—22no—
140#4036C2314yes—
141#4034—28no—
142#4034—22no—
143#4034—22no—
144#4034—22no—
145#4034C2314yes—
146#4034C2314yes—
147#4034C2314yes—
148#4024—28no—
149#4024—28no—
150#4016—22no—
151#4016—28no—
152#4016C2314yes—
153#4015—22no—
154#4015C2314yes—
155C4×Dic10—28no—
156C4×Dic10D414yes—
157C4×Dic10C2314yes—
158C5×#107C2314yes—
159C5×#103C2314yes—
160C5×#102C2314yes—
161C5×#97C2314yes—
162#3967C2314yes—
163#3967C2314yes—
164#3964C2314yes—
165#3964C2314yes—
166#3950C2314yes—
167#3950C2314yes—
168#3949C2314yes—
169#3949C2314yes—
170#3947C2314yes—
171#3946C2314yes—
172#3946C2314yes—
173C8×Dic5C2314yes—
174#3940C2314yes—
175#3939C2314yes—
176#3939C2314yes—
177#3939C2314yes—
178C4⋊#168C2314yes—
179C2×#557—51no—
180C2×D4×Q8—51no—
181#3386—516no—
182C2×#501—51no—
183C2×#501—51no—
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×#440D511yescharacteristic
194C2×C4×SD16—51no—
195C24×C5—21no—
196C2×C5×Q8—21no—
197C2×C5×Q8—22no—
198C2×C5×Q8C2×Q814yescomplemented
199C2×C5×Q8C2412yes—
200C2×C5×D4—21no—
201C2×C5×D4—22no—
202C2×C5×D4C2×Q814yes—
203C2×C5×D4C2412yes—
204C22×C4×C5—21no—
205C22×C4×C5—21no—
206C22×C4×C5—21no—
207C22×C4×C5—24no—
208C22×C4×C5—44no—
209C22×C4×C5C2×D411yescharacteristic
210C22×C4×C5C2×D411yescharacteristic
211C22×C4×C5C2411yescharacteristic
212C22×Dic5—21no—
213C22×Dic5—21no—
214C22×Dic5—21no—
215C22×Dic5—21no—
216C22×Dic5—24no—
217C22×Dic5—24no—
218C22×Dic5—44no—
219C22×Dic5—44no—
220C22×Dic5C2×D411yescharacteristic
221C22×Dic5C2×D411yescharacteristic
222C22×Dic5C2×D411yescharacteristic
223C22×Dic5C2×D411yescharacteristic
224C2×Dic10—24no—
225C2×Dic10—24no—
226C2×Dic10—24no—
227C2×Dic10—24no—
228C2×Dic10—24no—
229C2×Dic10—432no—
230C2×Dic10—44no—
231C2×Dic10—44no—
232C2×Dic10—44no—
233C2×Dic10—44no—
234C2×Dic10C2×D414yes—
235C5×SD16C2×Q8116yescomplemented
236C2×C5×C8—22no—
237C2×C5×C8C2×Q814yescomplemented
238C2×C5×C8C2412yes—
239C2×C5×C8C2412yes—
240C5×C4⋊C4—24no—
241C5×C4⋊C4—21no—
242C5×C4⋊C4—21no—
243C5×C4⋊C4C2412yes—
244C5×C4⋊C4C2412yes—
245C5×C22⋊C4—24no—
246C42×C5—24no—
247C42×C5C2×D412yes—
248C42×C5C2412yes—
249C22⋊Dic5—24no—
250C22⋊Dic5—24no—
251C4⋊Dic5—21no—
252C4⋊Dic5—21no—
253C4⋊Dic5—24no—
254C4⋊Dic5—21no—
255C4⋊Dic5—21no—
256C4⋊Dic5—24no—
257C4⋊Dic5—24no—
258C4⋊Dic5—24no—
259C4⋊Dic5C2×D414yes—
260C4⋊Dic5C2412yes—
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×#168—22no—
280C2×#168C2412yes—
281C2×#168C2412yes—
282C23×Q8—101no—
283C22×SD16C2×D511yescharacteristic
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—51no—
292C2×C4⋊Q8—101no—
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×D4C2×D511yescharacteristic
308#501—58no—
309#501—58no—
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#440C2×D518yes—
320C4×SD16—58no—
321C2×#107—51no—
322C2×#107—51no—
323C2×#107—51no—
324C2×#107—51no—
325C2×#107—51no—
326C2×#107C2×D511yescharacteristic
327C2×#106—51no—
328C2×#106—51no—
329C2×#106—51no—
330C2×C4⋊C8—51no—
331C2×C4⋊C8—51no—
332C2×C4⋊C8—51no—
333C2×#103—51no—
334C2×#103—51no—
335C2×#103C2×D511yescharacteristic
336C2×#102—51no—
337C2×#102—51no—
338C2×#102C2×D511yescharacteristic
339C2×#97—51no—
340C2×#97C2×D511yescharacteristic
341C2×C4×C8—51no—
342C23×C5—24no—
343C23×C5—22no—
344C23×C5—42no—
345C23×C5—42no—
346C23×C5C22×D411yescharacteristic
347C5×Q8—24no—
348C5×Q8—22no—
349C5×Q8C22×Q814yescomplemented
350C5×D4—24no—
351C5×D4—22no—
352C5×D4C22×Q814yes—
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—48no—
360C2×C4×C5—42no—
361C2×C4×C5—42no—
362C2×C4×C5C22×D412yes—
363C2×C4×C5C22×D412yes—
364C2×C4×C5C22×D411yescharacteristic
365C2×C4×C5C22×Q812yes—
366C2×C4×C52−1+412yes—
367C2×C4×C5C2511yescharacteristic
368C2×Dic5—22no—
369C2×Dic5—22no—
370C2×Dic5—22no—
371C2×Dic5—22no—
372C2×Dic5—22no—
373C2×Dic5—22no—
374C2×Dic5—22no—
375C2×Dic5—48no—
376C2×Dic5—42no—
377C2×Dic5—42no—
378C2×Dic5—42no—
379C2×Dic5—42no—
380C2×Dic5—48no—
381C2×Dic5AGL(1,ℤ/8)14yes—
382C2×Dic5C22×D412yes—
383C2×Dic5C22×D412yes—
384C2×Dic5C22×D412yes—
385C2×Dic5C22×D412yes—
386Dic10—28no—
387Dic10—48no—
388Dic10—48no—
389Dic10—48no—
390Dic10—48no—
391C5×C8—22no—
392C5×C8C22×Q814yescomplemented
393#168—22no—
394#168—22no—
395C22×Q8—51no—
396C22×Q8—101no—
397C22×Q8—101no—
398C22×Q8—101no—
399C22×Q8—108no—
400C22×Q8—101no—
401C22×Q8—208no—
402C22×Q8C22×D511yescharacteristic
403C22×D4C22×D511yescharacteristic
404C23×C4—21no—
405C23×C4—101no—
406C23×C4—101no—
407C2×SD16Dic1018yescomplemented
408C2×SD16C22×D514yes—
409C22×C8—51no—
410C22×C8—51no—
411C22×C8C22×D511yescharacteristic
412C22×C8C22×D511yescharacteristic
413C4⋊Q8—54no—
414C4⋊Q8—54no—
415C4⋊Q8—54no—
416C4⋊Q8—54no—
417C4⋊Q8—102no—
418C4⋊Q8—102no—
419C4⋊Q8—102no—
420C4⋊Q8—108no—
421C4⋊Q8—102no—
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—22no—
441C4×D4—54no—
442C4×D4—54no—
443C4×D4—102no—
444C4×D4—102no—
445C4×D4C22×D514yes—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—51no—
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⋊C4—101no—
464C2×C4⋊C4C22×D511yescharacteristic
465C2×C4⋊C4C22×D511yescharacteristic
466C2×C22⋊C4—21no—
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#107—54no—
480#107C22×D514yes—
481#106—54no—
482#106—54no—
483#106—54no—
484C4⋊C8—54no—
485C4⋊C8—54no—
486C4⋊C8—54no—
487#103—54no—
488#103—54no—
489#103C22×D514yes—
490#102—54no—
491#102—54no—
492#102C22×D514yes—
493#97—54no—
494#97C22×D514yes—
495C4×C8—54no—
496C22×C5—24no—
497C22×C5—48no—
498C22×C5—42no—
499C22×C5—42no—
500C22×C5D4×Q812yes—
501C22×C5C2×AGL(1,ℤ/8)12yes—
502C22×C5#57812yes—
503C22×C5C23×D411yescharacteristic
504C4×C5—24no—
505C4×C5—22no—
506C4×C5—22no—
507C4×C5—42no—
508C4×C5—42no—
509C4×C5D4×Q812yes—
510C4×C5C23×Q811yescharacteristic
511C4×C5C2×2−1+411yescharacteristic
512Dic5—22no—
513Dic5—22no—
514Dic5—22no—
515Dic5—42no—
516Dic5—42no—
517Dic5—42no—
518Dic5—42no—
519Dic5C2×AGL(1,ℤ/8)14yes—
520C24—21no—
521C2×Q8—21no—
522C2×Q8—22no—
523C2×Q8—54no—
524C2×Q8—104no—
525C2×Q8—104no—
526C2×Q8—104no—
527C2×Q8—104no—
528C2×Q8—104no—
529C2×Q8—204no—
530C2×Q8—204no—
531C2×Q8—204no—
532C2×Q8—204no—
533C2×Q8—2032no—
534C2×Q8C2×Dic1014yescomplemented
535C2×Q8C23×D512yes—
536C2×D4—21no—
537C2×D4—22no—
538C2×D4C2×Dic1014yes—
539C2×D4C23×D512yes—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—24no—
544C22×C4—44no—
545C22×C4—51no—
546C22×C4—51no—
547C22×C4—51no—
548C22×C4—51no—
549C22×C4—104no—
550C22×C4—104no—
551C22×C4—101no—
552C22×C4—101no—
553C22×C4—101no—
554C22×C4—101no—
555C22×C4—204no—
556C22×C4—204no—
557C22×C4D4×D511yescharacteristic
558C22×C4D4×D511yescharacteristic
559C22×C4C23×D511yescharacteristic
560SD16C2×Dic10116yescomplemented
561C2×C8—22no—
562C2×C8—52no—
563C2×C8—52no—
564C2×C8—102no—
565C2×C8—102no—
566C2×C8C2×Dic1014yescomplemented
567C2×C8C23×D512yes—
568C2×C8C23×D512yes—
569C4⋊C4—24no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—54no—
573C4⋊C4—54no—
574C4⋊C4—54no—
575C4⋊C4—52no—
576C4⋊C4—52no—
577C4⋊C4—52no—
578C4⋊C4—52no—
579C4⋊C4—104no—
580C4⋊C4—104no—
581C4⋊C4—104no—
582C4⋊C4—104no—
583C4⋊C4—104no—
584C4⋊C4—104no—
585C4⋊C4—104no—
586C4⋊C4—101no—
587C4⋊C4—101no—
588C4⋊C4—101no—
589C4⋊C4—101no—
590C4⋊C4—104no—
591C4⋊C4—104no—
592C4⋊C4—104no—
593C4⋊C4C23×D512yes—
594C4⋊C4C23×D512yes—
595C22⋊C4—24no—
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—44no—
608C2×C5#338614yescomplemented
609C2×C5C2×D4×Q811yescharacteristic
610C2×C5C22×AGL(1,ℤ/8)11yescharacteristic
611C2×C5C2×#57811yescharacteristic
612C23—24no—
613C23—22no—
614C23—42no—
615C23—42no—
616C23C2×D4×D511yescharacteristic
617Q8—24no—
618Q8—22no—
619Q8—108no—
620Q8—208no—
621Q8—208no—
622Q8—208no—
623Q8—208no—
624Q8C22×Dic1014yescomplemented
625D4—24no—
626D4—22no—
627D4C22×Dic1014yes—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—48no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—54no—
638C2×C4—52no—
639C2×C4—52no—
640C2×C4—52no—
641C2×C4—52no—
642C2×C4—102no—
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—202no—
652C2×C4—202no—
653C2×C4—202no—
654C2×C4—202no—
655C2×C4C22×Dic1012yes—
656C2×C4C2×D4×D512yes—
657C2×C4C2×D4×D512yes—
658C2×C4C2×D4×D511yescharacteristic
659C2×C4#415012yes—
660C2×C4C24×D511yescharacteristic
661C8—22no—
662C8—102no—
663C8—102no—
664C8C22×Dic1014yescomplemented
665C5C2×#338611yescharacteristic, complemented, Sylow
666C22—24no—
667C22—48no—
668C22—42no—
669C22—42no—
670C22D4×Dic1012yes—
671C22D5×AGL(1,ℤ/8)12yes—
672C22#6611312yes—
673C22C22×D4×D511yescharacteristic
674C4—24no—
675C4—22no—
676C4—22no—
677C4—42no—
678C4—42no—
679C4—54no—
680C4—102no—
681C4—102no—
682C4—102no—
683C4—202no—
684C4—202no—
685C4—202no—
686C4—202no—
687C4D4×Dic1012yes—
688C4C23×Dic1011yescharacteristic
689C4C2×#415011yescharacteristic
690C2—44no—
691C2#1061149114yesdirect product factor
692C2C2×D4×Dic1011yescharacteristic
693C2C2×D5×AGL(1,ℤ/8)11yescharacteristic
694C2C2×#6611311yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#440C2
socleC23×C5C22×D4
prime radicalC22×C5×D4C23
hypercenterC2×#440D5
hypocenterC5C2×#3386
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#440

Complements

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

NH ≅ G/Ntype
1. C2×#65903C2semidirect
6. C2×#65310C2semidirect
8. #10611491C2direct (N × H)
9. C2×#65165C2semidirect
10. C2×#65163C2semidirect
11. C2×#65083C2semidirect
12. C2×#65080C2semidirect
15. C2×#64991C2semidirect
16. C2×#64990C2semidirect
27. #65903C22semidirect
62. #65310C22semidirect
69. #65165C22semidirect
70. #65163C22semidirect
71. #65083C22semidirect
72. #65080C22semidirect
75. #64991C22semidirect
76. #64990C22semidirect
90. C2×C5×SD16Q8semidirect
198. C2×C5×Q8C2×Q8semidirect
235. C5×SD16C2×Q8semidirect
237. C2×C5×C8C2×Q8semidirect
349. C5×Q8C22×Q8semidirect
392. C5×C8C22×Q8semidirect
407. C2×SD16Dic10semidirect
534. C2×Q8C2×Dic10semidirect
560. SD16C2×Dic10semidirect
566. C2×C8C2×Dic10semidirect
608. C2×C5#3386semidirect
624. Q8C22×Dic10semidirect
664. C8C22×Dic10semidirect
665. C5C2×#3386semidirect
691. C2#10611491direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#659032
C2×D4×Dic102
C2×C5×#4402
C2×#654532
C2×SD16×Dic52
C2×#653102
C2×#652982
#106114912
C2×#651652
C2×#651632
C2×#650832
C2×#650802
C2×#650522
C2×#650482
C2×#649912
C2×#649902
C2×#33865