Finite Group Databasebeta

← C2×#10612631 #12977989

Subgroups — C2×#10612631 #12977989

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×#65973C211yesmaximal, characteristic
2C2×#65976C211yesmaximal, characteristic
3C2×C5×#470C211yesmaximal, characteristic, complemented
4C2×#65478C211yesmaximal, characteristic, complemented
5C2×Q16×Dic5C211yesmaximal, characteristic, complemented
6C2×#65417C211yesmaximal, characteristic
7C2×#65410C211yesmaximal, characteristic, complemented
8C2×#65333C211yesmaximal, characteristic, complemented
9C2×#65334C211yesmaximal, characteristic, complemented
10#10612631C2116yesmaximal, direct product factor
11C2×#65150C211yesmaximal, characteristic, complemented
12C2×#65147C211yesmaximal, characteristic, complemented
13C2×#65098C211yesmaximal, characteristic, complemented
14C2×#65104C211yesmaximal, characteristic, complemented
15C2×#65085C211yesmaximal, characteristic, complemented
16C2×#65088C211yesmaximal, characteristic, complemented
17C22×C5×Q16C2211yescharacteristic
18C22×C5×M16C2211yescharacteristic
19C2×C5×C22⋊Q8C2211yescharacteristic
20C2×C5×C22⋊Q8C2211yescharacteristic
21C2×#4092C2211yescharacteristic
22C2×#4092C2211yescharacteristic
23C2×Q8×Dic5C2211yescharacteristic
24C2×Q8×Dic5C2211yescharacteristic
25C2×C4×C22⋊D5C2211yescharacteristic
26C2×#4072C2211yescharacteristic
27C22×C4⋊Dic5C2211yescharacteristic
28C22×#676C2211yescharacteristic
29#65976—24no—
30#65976C2218yes—
31#65973—24no—
32#65973C2218yes—
33C2×#4044—21no—
34C2×#4038—21no—
35C2×#4038C2211yescharacteristic
36C2×D5×C4⋊C4C2211yescharacteristic
37C2×#4036—21no—
38C2×#4036C2211yescharacteristic
39C2×#4036C2211yescharacteristic
40C2×#4035—21no—
41C2×#4032—21no—
42C2×#4029—21no—
43C2×#4025—21no—
44C2×#4023—21no—
45C5×#470C2218yescomplemented
46C2×C5×#106C2211yescharacteristic
47C2×C5×#103C2211yescharacteristic
48C2×C5×#103C2211yescharacteristic
49C2×#3967C2211yescharacteristic
50C2×#3967C2211yescharacteristic
51C2×#3967C2211yescharacteristic
52C2×#3967C2211yescharacteristic
53C2×C22⋊#168C2211yescharacteristic
54#65478C2218yescomplemented
55Q16×Dic5C2218yescomplemented
56#65417C2218yes—
57#65410C2218yescomplemented
58C2×#3952C2211yescharacteristic
59C2×#3950C2211yescharacteristic
60C2×#3950C2211yescharacteristic
61C2×#3949C2211yescharacteristic
62C2×#3949C2211yescharacteristic
63C2×#3946C2211yescharacteristic
64C2×C8×Dic5C2211yescharacteristic
65#65334C2218yescomplemented
66#65333C2218yescomplemented
67C2×#3940C2211yescharacteristic
68C2×#3939C2211yescharacteristic
69C2×#3939C2211yescharacteristic
70C2×#3939C2211yescharacteristic
71#65150C2218yescomplemented
72#65147C2218yescomplemented
73#65104C2218yescomplemented
74#65098C2218yescomplemented
75#65088C2218yescomplemented
76#65085C2218yescomplemented
77C2×#3352—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C22×C5×Q8C2311yescharacteristic
80C23×C4×C5C2311yescharacteristic
81C22×C22⋊D5D411yescharacteristic
82C23×Dic5—21no—
83C22×C4×D5—21no—
84C22×C4×D5C2311yescharacteristic
85C2×C5×Q16—24no—
86C2×C5×Q16C2314yes—
87C2×C5×M16—24no—
88C2×C5×M16C2314yes—
89C22×C5×C8C2311yescharacteristic
90C22×C5×C8C2311yescharacteristic
91C5×C22⋊Q8—22no—
92C5×C22⋊Q8—22no—
93C5×C22⋊Q8C2314yes—
94C5×C22⋊Q8C2314yes—
95C2×C5×C4⋊C4—21no—
96C2×C5×C4⋊C4—21no—
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C22⋊C4—21no—
100C2×C5×C22⋊C4—21no—
101C2×C22⋊Dic5—21no—
102C2×C22⋊Dic5D411yescharacteristic
103#4092—22no—
104#4092—22no—
105#4092C2314yes—
106#4092C2314yes—
107Q8×Dic5—22no—
108Q8×Dic5—22no—
109Q8×Dic5C2314yes—
110Q8×Dic5C2314yes—
111C4×C22⋊D5D414yes—
112C4×C22⋊D5C2314yes—
113C2×#685—21no—
114C2×#685—21no—
115C2×#685—21no—
116C2×#685D411yescharacteristic
117#4072—22no—
118#4072C2314yes—
119C2×C4⋊Dic5—21no—
120C2×C4⋊Dic5—22no—
121C2×C4⋊Dic5—21no—
122C2×C4⋊Dic5—21no—
123C2×C4⋊Dic5—21no—
124C2×C4⋊Dic5—21no—
125C2×C4⋊Dic5C2311yescharacteristic
126C2×C4⋊Dic5C2311yescharacteristic
127C2×C4⋊Dic5C2311yescharacteristic
128C2×C4⋊Dic5C2311yescharacteristic
129C2×C4⋊Dic5C2314yes—
130C2×#683—21no—
131C2×#683—21no—
132C2×#683—21no—
133C2×#683—21no—
134C2×#683—21no—
135C2×#683D411yescharacteristic
136C2×C4×Dic5—21no—
137C2×C4×Dic5—21no—
138C2×C4×Dic5—21no—
139C2×C4×Dic5—21no—
140C2×C4×Dic5C2311yescharacteristic
141C22×#168C2311yescharacteristic
142C22×#168C2311yescharacteristic
143C2×#676—24no—
144C2×#676C2314yes—
145#4044—28no—
146#4038—22no—
147#4038—28no—
148#4038C2314yes—
149D5×C4⋊C4—22no—
150D5×C4⋊C4C2314yes—
151#4036—28no—
152#4036—22no—
153#4036—22no—
154#4036C2314yes—
155#4036C2314yes—
156#4035—28no—
157#4032—28no—
158#4029—28no—
159#4025—28no—
160#4023—28no—
161C5×#106C2314yes—
162C5×#103C2314yes—
163C5×#103C2314yes—
164#3967C2314yes—
165#3967C2314yes—
166#3967C2314yes—
167#3967C2314yes—
168C22⋊#168C2314yes—
169#3952C2314yes—
170#3950C2314yes—
171#3950C2314yes—
172#3949C2314yes—
173#3949C2314yes—
174#3946C2314yes—
175C8×Dic5C2314yes—
176#3940C2314yes—
177#3939C2314yes—
178#3939C2314yes—
179#3939C2314yes—
180C2×#552—51no—
181C2×#552—51no—
182#3352—516no—
183C2×#499—51no—
184C2×#484—51no—
185C2×#484—51no—
186C2×#485—51no—
187C2×#485—51no—
188C2×#479—51no—
189C2×#479—51no—
190C2×#470—51no—
191C2×#470D511yescharacteristic, complemented
192C2×C4×Q16—51no—
193C2×#436—51no—
194C2×#428—51no—
195C2×#428—51no—
196C24×C5C2×D411yescharacteristic
197C23×D5C2×D411yescharacteristic
198C2×C5×Q8—21no—
199C2×C5×Q8—21no—
200C2×C5×Q8—22no—
201C2×C5×Q8—22no—
202C2×C5×Q8—22no—
203C2×C5×Q8—22no—
204C2×C5×Q8C2412yes—
205C2×C5×Q8C2412yes—
206C22×C4×C5—22no—
207C22×C4×C5—22no—
208C22×C4×C5—21no—
209C22×C4×C5—21no—
210C22×C4×C5—21no—
211C22×C4×C5—21no—
212C22×C4×C5C2×D411yescharacteristic
213C22×C4×C5C2×D412yes—
214C22×C4×C5C2412yes—
215C22×C4×C5C2411yescharacteristic
216C2×C22⋊D5—42no—
217C2×C22⋊D5C2×D414yes—
218C22×Dic5—21no—
219C22×Dic5—21no—
220C22×Dic5—24no—
221C22×Dic5—21no—
222C22×Dic5—21no—
223C22×Dic5—44no—
224C22×Dic5C2×D411yescharacteristic
225C22×Dic5C2×D411yescharacteristic
226C22×Dic5C2×D411yescharacteristic
227C2×C4×D5—22no—
228C2×C4×D5—22no—
229C2×C4×D5—24no—
230C2×C4×D5—44no—
231C2×C4×D5C2×D412yes—
232C2×C4×D5C2412yes—
233C5×Q16—28no—
234C5×M16—28no—
235C2×C5×C8—22no—
236C2×C5×C8#4114yes—
237C2×C5×C8C2412yes—
238C2×C5×C8C2412yes—
239C5×C4⋊C4—24no—
240C5×C4⋊C4—24no—
241C5×C4⋊C4—21no—
242C5×C4⋊C4—21no—
243C5×C4⋊C4C2412yes—
244C5×C4⋊C4C2412yes—
245C5×C22⋊C4—24no—
246C5×C22⋊C4—24no—
247C22⋊Dic5—24no—
248C22⋊Dic5C2×D414yes—
249#685—24no—
250#685—24no—
251#685—24no—
252#685C2×D414yes—
253C4⋊Dic5—24no—
254C4⋊Dic5—21no—
255C4⋊Dic5—21no—
256C4⋊Dic5—21no—
257C4⋊Dic5—21no—
258C4⋊Dic5—24no—
259C4⋊Dic5—24no—
260C4⋊Dic5—24no—
261C4⋊Dic5—24no—
262C4⋊Dic5C2412yes—
263C4⋊Dic5C2412yes—
264C4⋊Dic5C2412yes—
265C4⋊Dic5C2412yes—
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×Dic5—24no—
276C4×Dic5C2×D412yes—
277C4×Dic5C2412yes—
278C2×#168—22no—
279C2×#168—22no—
280C2×#168C2412yes—
281C2×#168C2412yes—
282#676—28no—
283C22×Q16C2×D511yescharacteristic
284C22×M16—51no—
285C22×M16C2×D511yescharacteristic
286#552—58no—
287#552—58no—
288#552—104no—
289#552—104no—
290C2×#126—101no—
291C2×#126—101no—
292C2×#125—51no—
293C2×#125—51no—
294C2×#125—101no—
295C2×#125—101no—
296C2×#123—101no—
297C2×#123—101no—
298C2×C22⋊Q8—51no—
299C2×C22⋊Q8—51no—
300C2×C22⋊Q8C2×D511yescharacteristic
301C2×C22⋊Q8C2×D511yescharacteristic
302C2×C4×Q8—51no—
303C2×C4×Q8—51no—
304C2×C4×D4—51no—
305C2×#117—51no—
306C2×#117—51no—
307C2×#117—101no—
308C2×#117—101no—
309C22×C4⋊C4—51no—
310C22×C4⋊C4—51no—
311#499—58no—
312#485—58no—
313#485—58no—
314#484—58no—
315#484—58no—
316#479—58no—
317#479—58no—
318#470—58no—
319#470C2×D518yescomplemented
320C4×Q16—58no—
321#436—58no—
322#428—58no—
323#428—58no—
324C2×#107—51no—
325C2×#107—51no—
326C2×#107—51no—
327C2×#107—51no—
328C2×#107—51no—
329C2×#106—51no—
330C2×#106—51no—
331C2×#106—51no—
332C2×#106C2×D511yescharacteristic
333C2×C4⋊C8—51no—
334C2×#103—51no—
335C2×#103—51no—
336C2×#103—51no—
337C2×#103—51no—
338C2×#103C2×D511yescharacteristic
339C2×#103C2×D511yescharacteristic
340C2×C22⋊C8—51no—
341C2×C22⋊C8—51no—
342C2×C4×C8—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—
352C5×Q8—22no—
353C5×Q8—22no—
354C5×Q8—22no—
355C5×Q8—22no—
356C5×Q8—42no—
357C5×Q8—42no—
358C2×C4×C5—22no—
359C2×C4×C5—24no—
360C2×C4×C5—22no—
361C2×C4×C5—22no—
362C2×C4×C5—22no—
363C2×C4×C5—22no—
364C2×C4×C5—22no—
365C2×C4×C5—22no—
366C2×C4×C5—42no—
367C2×C4×C5—42no—
368C2×C4×C5—42no—
369C2×C4×C5—42no—
370C2×C4×C5C22×D412yes—
371C2×C4×C5C22×D411yescharacteristic
372C2×C4×C5C2×#4112yes—
373C2×C4×C52−1+412yes—
374C2×C4×C5C2511yescharacteristic
375C22⋊D5—44no—
376C2×Dic5—22no—
377C2×Dic5—22no—
378C2×Dic5—22no—
379C2×Dic5—22no—
380C2×Dic5—22no—
381C2×Dic5—22no—
382C2×Dic5—22no—
383C2×Dic5—48no—
384C2×Dic5—42no—
385C2×Dic5—42no—
386C2×Dic5—42no—
387C2×Dic5—42no—
388C2×Dic5C22×D412yes—
389C2×Dic5C22×D412yes—
390C2×Dic5C22×D412yes—
391C4×D5—24no—
392C4×D5—22no—
393C4×D5—22no—
394C4×D5—48no—
395C5×C8—22no—
396C5×C8C2×#4114yes—
397#168—22no—
398#168—22no—
399C22×Q8C22×D511yescharacteristic
400C22×Q8C22×D511yescharacteristic
401C22×D4—51no—
402C23×C4—51no—
403C23×C4—101no—
404C23×C4—101no—
405C23×C4C22×D511yescharacteristic
406C2×Q16—24no—
407C2×Q16C22×D514yes—
408C2×M16—24no—
409C2×M16—54no—
410C2×M16—104no—
411C2×M16C22×D514yes—
412C22×C8—51no—
413C22×C8—51no—
414C22×C8C22×D511yescharacteristic
415C22×C8C22×D511yescharacteristic
416#126—108no—
417#126—108no—
418#125—54no—
419#125—54no—
420#125—102no—
421#125—102no—
422#125—108no—
423#125—108no—
424#123—108no—
425#123—108no—
426C22⋊Q8—22no—
427C22⋊Q8—22no—
428C22⋊Q8—54no—
429C22⋊Q8—54no—
430C22⋊Q8—102no—
431C22⋊Q8—102no—
432C22⋊Q8C22×D514yes—
433C22⋊Q8C22×D514yes—
434C4×Q8—54no—
435C4×Q8—54no—
436C4×Q8—102no—
437C4×Q8—102no—
438C4×D4—54no—
439C4×D4—54no—
440#117—54no—
441#117—54no—
442#117—108no—
443#117—108no—
444#117—102no—
445#117—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—54no—
453C2×C4⋊C4—51no—
454C2×C4⋊C4—54no—
455C2×C4⋊C4—102no—
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⋊C4—101no—
465C2×C4⋊C4—101no—
466C2×C4⋊C4—102no—
467C2×C4⋊C4C22×D511yescharacteristic
468C2×C4⋊C4C22×D511yescharacteristic
469C2×C22⋊C4—21no—
470C2×C22⋊C4—21no—
471C2×C22⋊C4—51no—
472C2×C22⋊C4—51no—
473C2×C22⋊C4—101no—
474C2×C22⋊C4—101no—
475C2×C22⋊C4—101no—
476C2×C22⋊C4—101no—
477C2×C42—51no—
478C2×C42—101no—
479C2×C42—101no—
480C2×C42—101no—
481C2×C42—101no—
482#107—54no—
483#107—54no—
484#107—54no—
485#107—54no—
486#107—54no—
487#106—54no—
488#106—54no—
489#106—54no—
490#106C22×D514yes—
491C4⋊C8—54no—
492#103—54no—
493#103—54no—
494#103—54no—
495#103—54no—
496#103C22×D514yes—
497#103C22×D514yes—
498C22⋊C8—54no—
499C22⋊C8—54no—
500C4×C8—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—21no—
531C2×Q8—21no—
532C2×Q8—22no—
533C2×Q8—22no—
534C2×Q8—22no—
535C2×Q8—22no—
536C2×Q8C23×D512yes—
537C2×Q8C23×D512yes—
538C2×D4—54no—
539C2×D4—202no—
540C22×C4—22no—
541C22×C4—22no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—51no—
547C22×C4—51no—
548C22×C4—51no—
549C22×C4—52no—
550C22×C4—52no—
551C22×C4—104no—
552C22×C4—102no—
553C22×C4—102no—
554C22×C4—104no—
555C22×C4—101no—
556C22×C4—101no—
557C22×C4—101no—
558C22×C4—101no—
559C22×C4—204no—
560C22×C4—204no—
561C22×C4D4×D512yes—
562C22×C4D4×D511yescharacteristic
563C22×C4C23×D512yes—
564C22×C4C23×D511yescharacteristic
565Q16—28no—
566M16—28no—
567M16—108no—
568C2×C8—22no—
569C2×C8—52no—
570C2×C8—52no—
571C2×C8—102no—
572C2×C8—102no—
573C2×C8#71114yes—
574C2×C8C23×D512yes—
575C2×C8C23×D512yes—
576C4⋊C4—24no—
577C4⋊C4—24no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—54no—
581C4⋊C4—52no—
582C4⋊C4—52no—
583C4⋊C4—52no—
584C4⋊C4—52no—
585C4⋊C4—104no—
586C4⋊C4—104no—
587C4⋊C4—104no—
588C4⋊C4—104no—
589C4⋊C4—104no—
590C4⋊C4—104no—
591C4⋊C4—104no—
592C4⋊C4—104no—
593C4⋊C4—104no—
594C4⋊C4—101no—
595C4⋊C4—101no—
596C4⋊C4—101no—
597C4⋊C4—104no—
598C4⋊C4—101no—
599C4⋊C4C23×D512yes—
600C4⋊C4C23×D512yes—
601C22⋊C4—24no—
602C22⋊C4—24no—
603C22⋊C4—54no—
604C22⋊C4—54no—
605C22⋊C4—104no—
606C22⋊C4—104no—
607C22⋊C4—104no—
608C22⋊C4—104no—
609C42—52no—
610C42—52no—
611C42—104no—
612C42—104no—
613C42—104no—
614C42—104no—
615C2×C5—42no—
616C2×C5#335214yescomplemented
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—22no—
631Q8—22no—
632Q8—22no—
633Q8—22no—
634Q8—42no—
635Q8—42no—
636D4—204no—
637C2×C4—22no—
638C2×C4—24no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—52no—
650C2×C4—52no—
651C2×C4—52no—
652C2×C4—102no—
653C2×C4—102no—
654C2×C4—102no—
655C2×C4—104no—
656C2×C4—102no—
657C2×C4—102no—
658C2×C4—102no—
659C2×C4—102no—
660C2×C4—102no—
661C2×C4—102no—
662C2×C4—208no—
663C2×C4—208no—
664C2×C4—202no—
665C2×C4—202no—
666C2×C4—202no—
667C2×C4—202no—
668C2×C4C2×D4×D512yes—
669C2×C4C2×D4×D511yescharacteristic
670C2×C4C2×#71112yes—
671C2×C4#415012yes—
672C2×C4C24×D511yescharacteristic
673C8—22no—
674C8—102no—
675C8—102no—
676C8C2×#71114yes—
677C5C2×#335211yescharacteristic, complemented, Sylow
678C22—22no—
679C22—22no—
680C22—22no—
681C22—44no—
682C22—102no—
683C22—102no—
684C22—102no—
685C22—204no—
686C22#6594512yes—
687C22#6611112yes—
688C22#6611312yes—
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#6594512yes—
703C4C22×#71111yescharacteristic
704C4C2×#415011yescharacteristic
705C2—42no—
706C2—202no—
707C2#1061263114yesdirect product factor
708C2C2×#6594511yescharacteristic
709C2C2×#6611111yescharacteristic
710C2C2×#6611311yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#470C2
socleC23×C5C22×D4
prime radicalC22×C22⋊D5D4
hypercenterC2×#470D5
hypocenterC5C2×#3352
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#470

Complements

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

NH ≅ G/Ntype
3. C2×C5×#470C2semidirect
4. C2×#65478C2semidirect
5. C2×Q16×Dic5C2semidirect
7. C2×#65410C2semidirect
8. C2×#65333C2semidirect
9. C2×#65334C2semidirect
10. #10612631C2direct (N × H)
11. C2×#65150C2semidirect
12. C2×#65147C2semidirect
13. C2×#65098C2semidirect
14. C2×#65104C2semidirect
15. C2×#65085C2semidirect
16. C2×#65088C2semidirect
45. C5×#470C22semidirect
54. #65478C22semidirect
55. Q16×Dic5C22semidirect
57. #65410C22semidirect
65. #65334C22semidirect
66. #65333C22semidirect
71. #65150C22semidirect
72. #65147C22semidirect
73. #65104C22semidirect
74. #65098C22semidirect
75. #65088C22semidirect
76. #65085C22semidirect
191. C2×#470D5semidirect
319. #470C2×D5semidirect
616. C2×C5#3352semidirect
677. C5C2×#3352semidirect
707. C2#10612631direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#659732
C2×#659762
C2×C5×#4702
C2×#654782
C2×Q16×Dic52
C2×#654172
C2×#654102
C2×#653332
C2×#653342
#106126312
C2×#651502
C2×#651472
C2×#650982
C2×#651042
C2×#650852
C2×#650882
C2×#33525