Finite Group Databasebeta

← C2×#10611090 #12964253

Subgroups — C2×#10611090 #12964253

Order 1280.

1750 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65851C211yesmaximal, characteristic
2C2×C5×#433C211yesmaximal, characteristic
3C2×#65289C211yesmaximal, characteristic
4#10611090C2116yesmaximal, direct product factor
5C2×#65117C211yesmaximal, characteristic, complemented
6C2×#65117C211yesmaximal, characteristic, complemented
7C2×#65120C211yesmaximal, characteristic, complemented
8C2×#65119C211yesmaximal, characteristic, complemented
9C2×#65009C211yesmaximal, characteristic
10C2×#65009C211yesmaximal, characteristic
11C2×#65008C211yesmaximal, characteristic
12C2×#65007C211yesmaximal, characteristic
13C2×#64990C211yesmaximal, characteristic, complemented
14C2×#64990C211yesmaximal, characteristic, complemented
15C2×#64968C211yesmaximal, characteristic, complemented
16C2×C8×Dic10C211yesmaximal, characteristic, complemented
17C2×C5×#117C2211yescharacteristic
18C2×#4072C2211yescharacteristic
19C22×C4×Dic5C2211yescharacteristic
20#65851C418yes—
21#65851C2218yes—
22C2×#4036C411yescharacteristic
23C2×#4036C411yescharacteristic
24C2×#4034C411yescharacteristic
25C2×#4034C411yescharacteristic
26C2×#4024C411yescharacteristic
27C2×#4024C411yescharacteristic
28C2×#4024C411yescharacteristic
29C2×#4024C411yescharacteristic
30C2×C4×Dic10C2211yescharacteristic
31C2×C4×Dic10C2211yescharacteristic
32C2×C4×Dic10C2211yescharacteristic
33C2×C4×Dic10C2211yescharacteristic
34C5×#433C2218yes—
35C2×C5×C4⋊C8C2211yescharacteristic
36C2×C5×C4⋊C8C2211yescharacteristic
37C2×C5×C22⋊C8C2211yescharacteristic
38C2×C5×C22⋊C8C2211yescharacteristic
39C2×C5×#97C2211yescharacteristic
40C2×C4×C5×C8C2211yescharacteristic
41C2×C22⋊#168C2211yescharacteristic
42C2×C22⋊#168C2211yescharacteristic
43C2×#3947C2211yescharacteristic
44C2×#3947C2211yescharacteristic
45C2×#3947C2211yescharacteristic
46C2×#3947C2211yescharacteristic
47C2×#3946C2211yescharacteristic
48C2×#3946C2211yescharacteristic
49C2×#3946C2211yescharacteristic
50C2×#3946C2211yescharacteristic
51C2×#3946C2211yescharacteristic
52C2×#3946C2211yescharacteristic
53C2×#3946C2211yescharacteristic
54C2×#3946C2211yescharacteristic
55C2×C8×Dic5C2211yescharacteristic
56C2×C8×Dic5C2211yescharacteristic
57C2×C8×Dic5C2211yescharacteristic
58C2×C8×Dic5C2211yescharacteristic
59#65289C2218yes—
60C2×C4⋊#168C2211yescharacteristic
61C2×C4⋊#168C2211yescharacteristic
62C2×#3935C2211yescharacteristic
63C2×C4×#168C2211yescharacteristic
64#65120C2218yescomplemented
65#65119C2218yescomplemented
66#65117C2218yescomplemented
67#65117C2218yescomplemented
68#65009C2218yes—
69#65009C2218yes—
70#65008C2218yes—
71#65007C2218yes—
72#64990C2218yescomplemented
73#64990C2218yescomplemented
74#64968C2218yescomplemented
75C8×Dic10C2218yescomplemented
76C2×#2985—51nomaximal, Sylow
77C23×C4×C5C2311yescharacteristic
78C23×Dic5C2×C411yescharacteristic
79C23×Dic5C2×C411yescharacteristic
80C22×Dic10C2×C411yescharacteristic
81C22×Dic10C2×C411yescharacteristic
82C22×Dic10C2×C411yescharacteristic
83C22×Dic10C2×C411yescharacteristic
84C22×C5×C8C2311yescharacteristic
85C22×C5×C8C2311yescharacteristic
86C22×C5×C8C2311yescharacteristic
87C22×C5×C8C2311yescharacteristic
88C5×#117C2×C414yes—
89C5×#117C2314yes—
90C2×C5×C4⋊C4C2×C411yescharacteristic
91C2×C5×C4⋊C4C2×C411yescharacteristic
92C2×C5×C22⋊C4C2×C411yescharacteristic
93C2×C5×C22⋊C4C2×C411yescharacteristic
94C2×C42×C5C2311yescharacteristic
95C2×C42×C5C2311yescharacteristic
96C2×C22⋊Dic5C2×C411yescharacteristic
97C2×C22⋊Dic5C2×C411yescharacteristic
98#4072C2×C414yes—
99#4072C2314yes—
100C2×C4⋊Dic5C2×C411yescharacteristic
101C2×C4⋊Dic5C2×C411yescharacteristic
102C2×C4⋊Dic5C2×C411yescharacteristic
103C2×C4⋊Dic5C2×C411yescharacteristic
104C2×C4⋊Dic5C2×C411yescharacteristic
105C2×C4⋊Dic5C2×C411yescharacteristic
106C2×#683C2×C411yescharacteristic
107C2×#683C2×C411yescharacteristic
108C2×#683C2×C411yescharacteristic
109C2×#683C2×C411yescharacteristic
110C2×#683C2×C411yescharacteristic
111C2×#683C2×C411yescharacteristic
112C2×#683C2×C411yescharacteristic
113C2×#683C2×C411yescharacteristic
114C2×C4×Dic5C2×C411yescharacteristic
115C2×C4×Dic5C2×C411yescharacteristic
116C2×C4×Dic5C2×C414yes—
117C2×C4×Dic5C2311yescharacteristic
118C2×C4×Dic5C2311yescharacteristic
119C2×C4×Dic5C2311yescharacteristic
120C2×C4×Dic5C2311yescharacteristic
121C2×C4×Dic5C2314yes—
122C22×#168C2311yescharacteristic
123C22×#168C2311yescharacteristic
124C22×#168C2311yescharacteristic
125C22×#168C2311yescharacteristic
126#4036C2×C418yes—
127#4036C2×C418yes—
128#4034C2×C418yes—
129#4034C2×C418yes—
130#4024C2×C418yes—
131#4024C2×C418yes—
132#4024C2×C418yes—
133#4024C2×C418yes—
134C4×Dic10C2×C414yes—
135C4×Dic10C2×C414yes—
136C4×Dic10C2×C414yes—
137C4×Dic10C2×C414yes—
138C4×Dic10C2314yes—
139C4×Dic10C2314yes—
140C4×Dic10C2314yes—
141C4×Dic10C2314yes—
142C5×C4⋊C8C2314yes—
143C5×C4⋊C8C2314yes—
144C5×C22⋊C8C2314yes—
145C5×C22⋊C8C2314yes—
146C5×#97C2314yes—
147C4×C5×C8C2314yes—
148C22⋊#168C2314yes—
149C22⋊#168C2314yes—
150#3947C2314yes—
151#3947C2314yes—
152#3947C2314yes—
153#3947C2314yes—
154#3946C2314yes—
155#3946C2314yes—
156#3946C2314yes—
157#3946C2314yes—
158#3946C2314yes—
159#3946C2314yes—
160#3946C2314yes—
161#3946C2314yes—
162C8×Dic5C2314yes—
163C8×Dic5C2314yes—
164C8×Dic5C2314yes—
165C8×Dic5C2314yes—
166C4⋊#168C2314yes—
167C4⋊#168C2314yes—
168#3935C2314yes—
169C4×#168C2314yes—
170C2×#533—51no—
171#2985—516no—
172C2×#446—51no—
173C2×#446—51no—
174C2×#446—51no—
175C2×#446—51no—
176C2×#446—51no—
177C2×#446—51no—
178C2×C8×Q8—51no—
179C2×C8×Q8—51no—
180C2×#433—51no—
181C2×#433—51no—
182C2×#433—51no—
183C2×#433D511yescharacteristic
184C2×#432—51no—
185C2×#431—51no—
186C24×C5C22×C411yescharacteristic
187C22×C4×C5—22no—
188C22×C4×C5—22no—
189C22×C4×C5C22×C411yescharacteristic
190C22×C4×C5C22×C411yescharacteristic
191C22×C4×C5C22×C411yescharacteristic
192C22×C4×C5C22×C411yescharacteristic
193C22×C4×C5C22×C411yescharacteristic
194C22×C4×C5C22×C412yes—
195C22×C4×C5C2412yes—
196C22×C4×C5C2411yescharacteristic
197C22×Dic5—24no—
198C22×Dic5—42no—
199C22×Dic5C22×C411yescharacteristic
200C22×Dic5C22×C411yescharacteristic
201C22×Dic5C22×C411yescharacteristic
202C22×Dic5C22×C411yescharacteristic
203C22×Dic5C22×C411yescharacteristic
204C22×Dic5C22×C414yes—
205C22×Dic5C22×C411yescharacteristic
206C22×Dic5C22×C411yescharacteristic
207C22×Dic5C22×C414yes—
208C22×Dic5C22×C411yescharacteristic
209C2×Dic10—24no—
210C2×Dic10—24no—
211C2×Dic10—42no—
212C2×Dic10—42no—
213C2×Dic10C22×C414yes—
214C2×Dic10C22×C414yes—
215C2×Dic10C22×C414yes—
216C2×Dic10C22×C414yes—
217C2×C5×C8—22no—
218C2×C5×C8—22no—
219C2×C5×C8—22no—
220C2×C5×C8—22no—
221C2×C5×C8C2412yes—
222C2×C5×C8C2412yes—
223C2×C5×C8C2412yes—
224C2×C5×C8C2412yes—
225C5×C4⋊C4C22×C414yes—
226C5×C4⋊C4C22×C414yes—
227C5×C22⋊C4C22×C414yes—
228C5×C22⋊C4C22×C414yes—
229C42×C5C22×C412yes—
230C42×C5C22×C412yes—
231C42×C5C2412yes—
232C42×C5C2412yes—
233C22⋊Dic5C22×C414yes—
234C22⋊Dic5C22×C414yes—
235C4⋊Dic5C22×C414yes—
236C4⋊Dic5C22×C414yes—
237C4⋊Dic5C22×C414yes—
238C4⋊Dic5C22×C414yes—
239C4⋊Dic5C22×C414yes—
240C4⋊Dic5C22×C414yes—
241#683C22×C414yes—
242#683C22×C414yes—
243#683C22×C414yes—
244#683C22×C414yes—
245#683C22×C414yes—
246#683C22×C414yes—
247#683C22×C414yes—
248#683C22×C414yes—
249C4×Dic5C22×C412yes—
250C4×Dic5C22×C412yes—
251C4×Dic5C22×C412yes—
252C4×Dic5C22×C412yes—
253C4×Dic5C22×C414yes—
254C4×Dic5C22×C414yes—
255C4×Dic5C2412yes—
256C4×Dic5C2412yes—
257C4×Dic5C2412yes—
258C4×Dic5C2412yes—
259C2×#168—22no—
260C2×#168—22no—
261C2×#168—22no—
262C2×#168—22no—
263C2×#168C2412yes—
264C2×#168C2412yes—
265C2×#168C2412yes—
266C2×#168C2412yes—
267#533—58no—
268#533—58no—
269C2×C4⋊Q8—51no—
270C2×C4⋊Q8—51no—
271C2×#125—51no—
272C2×#125—51no—
273C2×C22⋊Q8—51no—
274C2×C22⋊Q8—51no—
275C2×C22⋊Q8—51no—
276C2×C22⋊Q8—51no—
277C2×C4×Q8—51no—
278C2×C4×Q8—51no—
279C2×C4×Q8—51no—
280C2×C4×Q8—51no—
281C2×#117—51no—
282C2×#117C2×D511yescharacteristic
283C22×C42—51no—
284#446—58no—
285#446—58no—
286#446—58no—
287#446—58no—
288#446—58no—
289#446—58no—
290C8×Q8—58no—
291C8×Q8—58no—
292#433—58no—
293#433—58no—
294#433—58no—
295#433C2×D518yes—
296#432—58no—
297#431—58no—
298C2×C4⋊C8—51no—
299C2×C4⋊C8—51no—
300C2×C4⋊C8—51no—
301C2×C4⋊C8—51no—
302C2×C4⋊C8—51no—
303C2×C4⋊C8—51no—
304C2×C4⋊C8—51no—
305C2×C4⋊C8—51no—
306C2×C4⋊C8—51no—
307C2×C4⋊C8—51no—
308C2×C4⋊C8C2×D511yescharacteristic
309C2×C4⋊C8C2×D511yescharacteristic
310C2×C22⋊C8—51no—
311C2×C22⋊C8—51no—
312C2×C22⋊C8C2×D511yescharacteristic
313C2×C22⋊C8C2×D511yescharacteristic
314C2×#97—51no—
315C2×#97—51no—
316C2×#97—51no—
317C2×#97—51no—
318C2×#97—51no—
319C2×#97C2×D511yescharacteristic
320C2×C4×C8—51no—
321C2×C4×C8—51no—
322C2×C4×C8—51no—
323C2×C4×C8—51no—
324C2×C4×C8—51no—
325C2×C4×C8C2×D511yescharacteristic
326C23×C5—22no—
327C23×C5—22no—
328C23×C5—22no—
329C23×C5C23×C412yes—
330C23×C5C23×C411yescharacteristic
331C2×C4×C5—22no—
332C2×C4×C5—22no—
333C2×C4×C5—22no—
334C2×C4×C5—22no—
335C2×C4×C5—22no—
336C2×C4×C5—24no—
337C2×C4×C5—22no—
338C2×C4×C5—22no—
339C2×C4×C5C23×C412yes—
340C2×C4×C5C23×C412yes—
341C2×C4×C5C23×C412yes—
342C2×C4×C5C23×C412yes—
343C2×C4×C5C23×C412yes—
344C2×C4×C5C23×C411yescharacteristic
345C2×C4×C52−1+412yes—
346C2×C4×C52−1+412yes—
347C2×C4×C5C2511yescharacteristic
348C2×Dic5—22no—
349C2×Dic5—22no—
350C2×Dic5—22no—
351C2×Dic5—22no—
352C2×Dic5—22no—
353C2×Dic5—22no—
354C2×Dic5—22no—
355C2×Dic5—28no—
356C2×Dic5—44no—
357C2×Dic5#13114yes—
358C2×Dic5C23×C412yes—
359C2×Dic5C23×C412yes—
360C2×Dic5C23×C412yes—
361C2×Dic5C23×C412yes—
362C2×Dic5C23×C412yes—
363C2×Dic5C23×C412yes—
364C2×Dic5C23×C412yes—
365C2×Dic5C23×C412yes—
366Dic10—28no—
367Dic10—28no—
368Dic10—44no—
369Dic10—44no—
370C5×C8—22no—
371C5×C8—22no—
372C5×C8—22no—
373C5×C8—22no—
374#168—22no—
375#168—22no—
376#168—22no—
377#168—22no—
378C22×Q8—51no—
379C22×Q8—51no—
380C22×Q8—51no—
381C22×Q8—51no—
382C23×C4—51no—
383C23×C4—51no—
384C23×C4C22×D511yescharacteristic
385C22×C8—51no—
386C22×C8—51no—
387C22×C8—51no—
388C22×C8—51no—
389C22×C8C22×D511yescharacteristic
390C22×C8C22×D511yescharacteristic
391C22×C8C22×D511yescharacteristic
392C22×C8C22×D511yescharacteristic
393C4⋊Q8—58no—
394C4⋊Q8—58no—
395#125—58no—
396#125—58no—
397C22⋊Q8—58no—
398C22⋊Q8—58no—
399C22⋊Q8—58no—
400C22⋊Q8—58no—
401C4×Q8—54no—
402C4×Q8—54no—
403C4×Q8—54no—
404C4×Q8—54no—
405C4×Q8—54no—
406C4×Q8—54no—
407C4×Q8—54no—
408C4×Q8—54no—
409#117—54no—
410#117—54no—
411#117C4×D514yes—
412#117C22×D514yes—
413C2×C4⋊C4—51no—
414C2×C4⋊C4—51no—
415C2×C4⋊C4—51no—
416C2×C4⋊C4—51no—
417C2×C4⋊C4—51no—
418C2×C4⋊C4—51no—
419C2×C4⋊C4—51no—
420C2×C4⋊C4—51no—
421C2×C4⋊C4—51no—
422C2×C4⋊C4—51no—
423C2×C4⋊C4—51no—
424C2×C4⋊C4—51no—
425C2×C4⋊C4—51no—
426C2×C4⋊C4—51no—
427C2×C4⋊C4C4×D511yescharacteristic
428C2×C4⋊C4C4×D511yescharacteristic
429C2×C22⋊C4—51no—
430C2×C22⋊C4—51no—
431C2×C22⋊C4C4×D511yescharacteristic
432C2×C22⋊C4C4×D511yescharacteristic
433C2×C42—51no—
434C2×C42—51no—
435C2×C42—54no—
436C2×C42—54no—
437C2×C42—51no—
438C2×C42—51no—
439C2×C42—51no—
440C2×C42—51no—
441C2×C42C22×D511yescharacteristic
442C2×C42C22×D511yescharacteristic
443C4⋊C8—54no—
444C4⋊C8—54no—
445C4⋊C8—54no—
446C4⋊C8—54no—
447C4⋊C8—54no—
448C4⋊C8—54no—
449C4⋊C8—54no—
450C4⋊C8—54no—
451C4⋊C8—54no—
452C4⋊C8—54no—
453C4⋊C8C22×D514yes—
454C4⋊C8C22×D514yes—
455C22⋊C8—54no—
456C22⋊C8—54no—
457C22⋊C8C22×D514yes—
458C22⋊C8C22×D514yes—
459#97—54no—
460#97—54no—
461#97—54no—
462#97—54no—
463#97—54no—
464#97C22×D514yes—
465C4×C8—54no—
466C4×C8—54no—
467C4×C8—54no—
468C4×C8—54no—
469C4×C8—54no—
470C4×C8C22×D514yes—
471C22×C5—22no—
472C22×C5—22no—
473C22×C5—22no—
474C22×C5—44no—
475C22×C5#51912yes—
476C22×C5C2×#13112yes—
477C22×C5#56812yes—
478C22×C5C24×C411yescharacteristic
479C4×C5—22no—
480C4×C5—22no—
481C4×C5—22no—
482C4×C5—22no—
483C4×C5—22no—
484C4×C5#51912yes—
485C4×C5C2×2−1+411yescharacteristic
486C4×C5C2×2−1+411yescharacteristic
487Dic5—22no—
488Dic5—22no—
489Dic5—22no—
490Dic5—22no—
491Dic5—22no—
492Dic5—22no—
493Dic5—22no—
494Dic5C2×#13114yes—
495C24C2×C4×D511yescharacteristic
496C2×Q8—54no—
497C2×Q8—54no—
498C2×Q8—54no—
499C2×Q8—54no—
500C2×Q8—104no—
501C2×Q8—104no—
502C2×Q8—202no—
503C2×Q8—202no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—51no—
507C22×C4—51no—
508C22×C4—51no—
509C22×C4—51no—
510C22×C4—54no—
511C22×C4—51no—
512C22×C4—51no—
513C22×C4—51no—
514C22×C4—51no—
515C22×C4—54no—
516C22×C4—104no—
517C22×C4—202no—
518C22×C4C2×C4×D511yescharacteristic
519C22×C4C2×C4×D512yes—
520C22×C4C2×C4×D511yescharacteristic
521C22×C4C2×C4×D511yescharacteristic
522C22×C4C2×C4×D511yescharacteristic
523C22×C4C2×C4×D511yescharacteristic
524C22×C4C23×D512yes—
525C22×C4C23×D511yescharacteristic
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—52no—
531C2×C8—52no—
532C2×C8—52no—
533C2×C8—52no—
534C2×C8—102no—
535C2×C8—102no—
536C2×C8—102no—
537C2×C8—102no—
538C2×C8C23×D512yes—
539C2×C8C23×D512yes—
540C2×C8C23×D512yes—
541C2×C8C23×D512yes—
542C4⋊C4—54no—
543C4⋊C4—54no—
544C4⋊C4—54no—
545C4⋊C4—54no—
546C4⋊C4—54no—
547C4⋊C4—54no—
548C4⋊C4—54no—
549C4⋊C4—54no—
550C4⋊C4—54no—
551C4⋊C4—54no—
552C4⋊C4—54no—
553C4⋊C4—54no—
554C4⋊C4—54no—
555C4⋊C4—54no—
556C4⋊C4C2×C4×D514yes—
557C4⋊C4C2×C4×D514yes—
558C22⋊C4—54no—
559C22⋊C4—54no—
560C22⋊C4C2×C4×D514yes—
561C22⋊C4C2×C4×D514yes—
562C42—52no—
563C42—52no—
564C42—54no—
565C42—54no—
566C42—52no—
567C42—52no—
568C42—52no—
569C42—52no—
570C42—52no—
571C42—52no—
572C42C2×C4×D512yes—
573C42C2×C4×D512yes—
574C42C23×D512yes—
575C42C23×D512yes—
576C2×C5—42no—
577C2×C5#298514yescomplemented
578C2×C5C2×#51911yescharacteristic
579C2×C5C22×#13111yescharacteristic
580C2×C5C2×#56811yescharacteristic
581C23—22no—
582C23—22no—
583C23—22no—
584C23C22×C4×D512yes—
585C23C22×C4×D511yescharacteristic
586Q8—108no—
587Q8—108no—
588Q8—204no—
589Q8—204no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—24no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—54no—
599C2×C4—52no—
600C2×C4—52no—
601C2×C4—52no—
602C2×C4—52no—
603C2×C4—52no—
604C2×C4—52no—
605C2×C4—52no—
606C2×C4—52no—
607C2×C4—108no—
608C2×C4—102no—
609C2×C4—102no—
610C2×C4—102no—
611C2×C4—102no—
612C2×C4—102no—
613C2×C4—102no—
614C2×C4—102no—
615C2×C4—204no—
616C2×C4C22×C4×D512yes—
617C2×C4C22×C4×D512yes—
618C2×C4C22×C4×D512yes—
619C2×C4C22×C4×D512yes—
620C2×C4C22×C4×D512yes—
621C2×C4C22×C4×D511yescharacteristic
622C2×C4#415012yes—
623C2×C4#415012yes—
624C2×C4C24×D511yescharacteristic
625C8—22no—
626C8—22no—
627C8—22no—
628C8—22no—
629C8—102no—
630C8—102no—
631C8—102no—
632C8—102no—
633C5C2×#298511yescharacteristic, complemented, Sylow
634C22—22no—
635C22—22no—
636C22—22no—
637C22—44no—
638C22#6585012yes—
639C22D5×#13112yes—
640C22#6608412yes—
641C22C23×C4×D511yescharacteristic
642C4—22no—
643C4—22no—
644C4—22no—
645C4—22no—
646C4—22no—
647C4—54no—
648C4—102no—
649C4—102no—
650C4—102no—
651C4—102no—
652C4—102no—
653C4—102no—
654C4—102no—
655C4#6585012yes—
656C4C2×#415011yescharacteristic
657C4C2×#415011yescharacteristic
658C2—42no—
659C2#1061109014yesdirect product factor
660C2C2×#6585011yescharacteristic
661C2C2×D5×#13111yescharacteristic
662C2C2×#6608411yescharacteristic
subgroupG/H
centerC22×C4C23×D5
commutatorC22×C5C24×C4
FrattiniC2×C4C24×D5
FittingC2×C5×#433C2
socleC23×C5C23×C4
prime radicalC24×C5C22×C4
cosocleC2×C4×C5C25
hypercenterC2×#433D5
hypocenterC5C2×#2985
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C22×C4 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
4. #10611090C2direct (N × H)
5. C2×#65117C2semidirect
6. C2×#65117C2semidirect
7. C2×#65120C2semidirect
8. C2×#65119C2semidirect
13. C2×#64990C2semidirect
14. C2×#64990C2semidirect
15. C2×#64968C2semidirect
16. C2×C8×Dic10C2semidirect
64. #65120C22semidirect
65. #65119C22semidirect
66. #65117C22semidirect
67. #65117C22semidirect
72. #64990C22semidirect
73. #64990C22semidirect
74. #64968C22semidirect
75. C8×Dic10C22semidirect
577. C2×C5#2985semidirect
633. C5C2×#2985semidirect
659. C2#10611090direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#658512
C2×C5×#4332
C2×#652892
#106110902
C2×#651172
C2×#651202
C2×#651192
C2×#650092
C2×#650082
C2×#650072
C2×#649902
C2×#649682
C2×C8×Dic102
C2×#29855