Finite Group Databasebeta

← C2×#10609570 #12266102

Subgroups — C2×#10609570 #12266102

Order 1280.

2354 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#4044C211yesmaximal, characteristic
2C22×#4035C211yesmaximal, characteristic, complemented
3C2×C5×#398C211yesmaximal, characteristic, complemented
4C2×#65281C211yesmaximal, characteristic
5C2×#65283C211yesmaximal, characteristic
6C2×#65283C211yesmaximal, characteristic
7C2×#65273C211yesmaximal, characteristic, complemented
8C2×#65274C211yesmaximal, characteristic, complemented
9C2×C4⋊C4×Dic5C211yesmaximal, characteristic, complemented
10#10609570C2116yesmaximal, direct product factor
11C2×#64964C211yesmaximal, characteristic
12C2×#64947C211yesmaximal, characteristic, complemented
13C2×#64946C211yesmaximal, characteristic, complemented
14C2×#64936C211yesmaximal, characteristic, complemented
15C2×#64959C211yesmaximal, characteristic
16C2×#64958C211yesmaximal, characteristic
17C22×C5×C4⋊C4C2211yescharacteristic
18C22×C5×C4⋊C4C2211yescharacteristic
19C22×C5×C4⋊C4C2211yescharacteristic
20C22×C5×C4⋊C4C2211yescharacteristic
21C22×#685C2211yescharacteristic
22C22×#685C2211yescharacteristic
23C22×#685C2211yescharacteristic
24C22×#685C2211yescharacteristic
25C22×#685C2211yescharacteristic
26C22×#685C2211yescharacteristic
27C22×#685C2211yescharacteristic
28C22×C4⋊Dic5C2211yescharacteristic
29C22×C4⋊Dic5C2211yescharacteristic
30C22×C4⋊Dic5C2211yescharacteristic
31C22×C4⋊Dic5C2211yescharacteristic
32C22×#683C2211yescharacteristic
33C22×#683C2211yescharacteristic
34C22×#683C2211yescharacteristic
35C22×#683C2211yescharacteristic
36C22×#683C2211yescharacteristic
37C22×#683C2211yescharacteristic
38C22×#683C2211yescharacteristic
39C22×C4×Dic5C2211yescharacteristic
40C22×C4×Dic5C2211yescharacteristic
41C22×C4×Dic5C2211yescharacteristic
42C2×#4044—28no—
43C2×#4044C2218yes—
44C2×#4035—28no—
45C2×#4035C2218yescomplemented
46C5×#398C2218yescomplemented
47C2×C5×#95C2211yescharacteristic
48C2×C5×#95C2211yescharacteristic
49C2×C5×#95C2211yescharacteristic
50C2×#3963C2211yescharacteristic
51C2×#3963C2211yescharacteristic
52C2×#3963C2211yescharacteristic
53C2×#3963C2211yescharacteristic
54C2×#3963C2211yescharacteristic
55C2×#3963C2211yescharacteristic
56C2×#3963C2211yescharacteristic
57#65283C2218yes—
58#65283C2218yes—
59#65281C2218yes—
60#65274C2218yescomplemented
61#65273C2218yescomplemented
62C4⋊C4×Dic5C2218yescomplemented
63#64964C2218yes—
64#64959C2218yes—
65#64958C2218yes—
66#64947C2218yescomplemented
67#64946C2218yescomplemented
68#64936C2218yescomplemented
69C2×#2664—51nomaximal, Sylow
70C24×D5C2311yescharacteristic
71C23×C4×C5C2311yescharacteristic
72C23×C4×C5C2311yescharacteristic
73C23×C4×C5C2311yescharacteristic
74C23×C4×C5C2311yescharacteristic
75C23×C4×C5C2311yescharacteristic
76C23×C4×C5C2311yescharacteristic
77C23×C4×C5C2311yescharacteristic
78C23×Dic5C2311yescharacteristic
79C23×Dic5C2311yescharacteristic
80C23×Dic5C2311yescharacteristic
81C23×Dic5C2311yescharacteristic
82C23×Dic5C2311yescharacteristic
83C23×Dic5C2311yescharacteristic
84C23×Dic5C2311yescharacteristic
85C2×C5×C4⋊C4—24no—
86C2×C5×C4⋊C4—24no—
87C2×C5×C4⋊C4—24no—
88C2×C5×C4⋊C4—24no—
89C2×C5×C4⋊C4C2314yes—
90C2×C5×C4⋊C4C2314yes—
91C2×C5×C4⋊C4C2314yes—
92C2×C5×C4⋊C4C2314yes—
93C2×#685—24no—
94C2×#685—24no—
95C2×#685—24no—
96C2×#685—24no—
97C2×#685—24no—
98C2×#685—42no—
99C2×#685—42no—
100C2×#685C2314yes—
101C2×#685C2314yes—
102C2×#685C2314yes—
103C2×#685C2314yes—
104C2×#685C2314yes—
105C2×#685C2314yes—
106C2×#685C2314yes—
107C2×C4⋊Dic5—24no—
108C2×C4⋊Dic5—24no—
109C2×C4⋊Dic5—24no—
110C2×C4⋊Dic5—42no—
111C2×C4⋊Dic5C2314yes—
112C2×C4⋊Dic5C2314yes—
113C2×C4⋊Dic5C2314yes—
114C2×C4⋊Dic5C2314yes—
115C2×#683—24no—
116C2×#683—24no—
117C2×#683—24no—
118C2×#683—24no—
119C2×#683—24no—
120C2×#683—24no—
121C2×#683—42no—
122C2×#683C2314yes—
123C2×#683C2314yes—
124C2×#683C2314yes—
125C2×#683C2314yes—
126C2×#683C2314yes—
127C2×#683C2314yes—
128C2×#683C2314yes—
129C2×C4×Dic5—42no—
130C2×C4×Dic5—42no—
131C2×C4×Dic5D418yes—
132C2×C4×Dic5C2314yes—
133C2×C4×Dic5C2314yes—
134C2×C4×Dic5C2314yes—
135#4044—232no—
136#4035—232no—
137C5×#95C2314yes—
138C5×#95C2314yes—
139C5×#95C2314yes—
140#3963C2314yes—
141#3963C2314yes—
142#3963C2314yes—
143#3963C2314yes—
144#3963C2314yes—
145#3963C2314yes—
146#3963C2314yes—
147C22×#126—51no—
148C22×#125—51no—
149#2664—516no—
150C2×#400—51no—
151C2×#399—51no—
152C2×#398—51no—
153C2×#398—51no—
154C2×#398D511yescharacteristic, complemented
155C2×#397—51no—
156C2×#396—51no—
157C2×#396—51no—
158C2×#389—51no—
159C2×#389—51no—
160C2×#388—51no—
161C2×#388—51no—
162C2×C4×C4⋊C4—51no—
163C24×C5C2411yescharacteristic
164C23×D5—22no—
165C23×D5—22no—
166C23×D5—22no—
167C23×D5—22no—
168C23×D5—22no—
169C23×D5—22no—
170C23×D5—22no—
171C23×D5C2412yes—
172C22×C4×C5—22no—
173C22×C4×C5—22no—
174C22×C4×C5—22no—
175C22×C4×C5—22no—
176C22×C4×C5—22no—
177C22×C4×C5—22no—
178C22×C4×C5—22no—
179C22×C4×C5—22no—
180C22×C4×C5—22no—
181C22×C4×C5—22no—
182C22×C4×C5—22no—
183C22×C4×C5—22no—
184C22×C4×C5—22no—
185C22×C4×C5—22no—
186C22×C4×C5—22no—
187C22×C4×C5—22no—
188C22×C4×C5—22no—
189C22×C4×C5—22no—
190C22×C4×C5—22no—
191C22×C4×C5C2×D414yes—
192C22×C4×C5#4114yes—
193C22×C4×C5C2412yes—
194C22×C4×C5C2412yes—
195C22×C4×C5C2412yes—
196C22×C4×C5C2412yes—
197C22×C4×C5C2412yes—
198C22×C4×C5C2412yes—
199C22×C4×C5C2412yes—
200C22×Dic5—22no—
201C22×Dic5—22no—
202C22×Dic5—22no—
203C22×Dic5—22no—
204C22×Dic5—22no—
205C22×Dic5—22no—
206C22×Dic5—22no—
207C22×Dic5—22no—
208C22×Dic5—22no—
209C22×Dic5—22no—
210C22×Dic5—22no—
211C22×Dic5—22no—
212C22×Dic5—22no—
213C22×Dic5—22no—
214C22×Dic5—22no—
215C22×Dic5—22no—
216C22×Dic5—22no—
217C22×Dic5—22no—
218C22×Dic5C2×D414yes—
219C22×Dic5C2×D414yes—
220C22×Dic5#4114yes—
221C22×Dic5C2412yes—
222C22×Dic5C2412yes—
223C22×Dic5C2412yes—
224C22×Dic5C2412yes—
225C22×Dic5C2412yes—
226C22×Dic5C2412yes—
227C22×Dic5C2412yes—
228C5×C4⋊C4—28no—
229C5×C4⋊C4—28no—
230C5×C4⋊C4—28no—
231C5×C4⋊C4—28no—
232#685—28no—
233#685—28no—
234#685—28no—
235#685—28no—
236#685—28no—
237#685—44no—
238#685—44no—
239C4⋊Dic5—28no—
240C4⋊Dic5—28no—
241C4⋊Dic5—28no—
242C4⋊Dic5—44no—
243#683—28no—
244#683—28no—
245#683—28no—
246#683—28no—
247#683—28no—
248#683—28no—
249#683—44no—
250C4×Dic5—44no—
251C4×Dic5—44no—
252C4×Dic5C2×D4116yes—
253C2×#126—58no—
254C2×#126—108no—
255C2×#125—58no—
256C2×#125—108no—
257C22×C4⋊C4—51no—
258C22×C4⋊C4—51no—
259C22×C4⋊C4—51no—
260C22×C4⋊C4—51no—
261C22×C4⋊C4—51no—
262C22×C4⋊C4—51no—
263C22×C4⋊C4—51no—
264C22×C4⋊C4—51no—
265C22×C4⋊C4—51no—
266C22×C4⋊C4—51no—
267C22×C4⋊C4—51no—
268C22×C4⋊C4C2×D511yescharacteristic
269C22×C4⋊C4C2×D511yescharacteristic
270C22×C4⋊C4C2×D511yescharacteristic
271C22×C4⋊C4C2×D511yescharacteristic
272C22×C22⋊C4—51no—
273C22×C22⋊C4—51no—
274C22×C22⋊C4—51no—
275C22×C22⋊C4—51no—
276C22×C22⋊C4—51no—
277C22×C22⋊C4—51no—
278C22×C22⋊C4—51no—
279C22×C42—51no—
280C22×C42—51no—
281C22×C42—51no—
282#400—58no—
283#399—58no—
284#398—58no—
285#398—58no—
286#398C2×D518yescomplemented
287#397—58no—
288#396—58no—
289#396—58no—
290#389—58no—
291#389—58no—
292#388—58no—
293#388—58no—
294C4×C4⋊C4—58no—
295C2×#95—51no—
296C2×#95—51no—
297C2×#95—51no—
298C2×#95—51no—
299C2×#95—51no—
300C2×#95—51no—
301C2×#95—51no—
302C2×#95C2×D511yescharacteristic
303C2×#95C2×D511yescharacteristic
304C2×#95C2×D511yescharacteristic
305C23×C5C22×D412yes—
306C23×C5C2×#4112yes—
307C23×C5C2×#4112yes—
308C23×C5H(5,𝔽2)12yes—
309C23×C52−1+412yes—
310C23×C52−1+412yes—
311C23×C52−1+412yes—
312C23×C5C2511yescharacteristic
313C22×D5—22no—
314C22×D5—22no—
315C22×D5—22no—
316C22×D5—22no—
317C22×D5—22no—
318C22×D5—22no—
319C22×D5—22no—
320C22×D5—44no—
321C22×D5—44no—
322C22×D5—44no—
323C22×D5—44no—
324C22×D5—44no—
325C22×D5—44no—
326C22×D5—44no—
327C2×C4×C5—28no—
328C2×C4×C5—28no—
329C2×C4×C5—22no—
330C2×C4×C5—22no—
331C2×C4×C5—22no—
332C2×C4×C5—22no—
333C2×C4×C5—22no—
334C2×C4×C5—22no—
335C2×C4×C5—22no—
336C2×C4×C5—22no—
337C2×C4×C5—22no—
338C2×C4×C5—22no—
339C2×C4×C5—22no—
340C2×C4×C5—22no—
341C2×C4×C5—22no—
342C2×C4×C5—22no—
343C2×C4×C5—22no—
344C2×C4×C5—22no—
345C2×C4×C5—22no—
346C2×C4×C5—22no—
347C2×C4×C5—22no—
348C2×C4×C5—44no—
349C2×C4×C5—44no—
350C2×C4×C5—44no—
351C2×C4×C5—44no—
352C2×C4×C5—44no—
353C2×C4×C5C22×D414yes—
354C2×C4×C5C2×#4114yes—
355C2×Dic5—28no—
356C2×Dic5—28no—
357C2×Dic5—28no—
358C2×Dic5—22no—
359C2×Dic5—22no—
360C2×Dic5—22no—
361C2×Dic5—22no—
362C2×Dic5—22no—
363C2×Dic5—22no—
364C2×Dic5—22no—
365C2×Dic5—22no—
366C2×Dic5—22no—
367C2×Dic5—22no—
368C2×Dic5—22no—
369C2×Dic5—22no—
370C2×Dic5—22no—
371C2×Dic5—22no—
372C2×Dic5—22no—
373C2×Dic5—22no—
374C2×Dic5—22no—
375C2×Dic5—22no—
376C2×Dic5—44no—
377C2×Dic5—44no—
378C2×Dic5—44no—
379C2×Dic5—44no—
380C2×Dic5C22×D414yes—
381C2×Dic5C22×D414yes—
382C2×Dic5C2×#4114yes—
383C25—51no—
384C23×C4—51no—
385C23×C4—51no—
386C23×C4—51no—
387C23×C4—51no—
388C23×C4—51no—
389C23×C4—51no—
390C23×C4—51no—
391C23×C4C22×D511yescharacteristic
392C23×C4C22×D511yescharacteristic
393C23×C4C22×D511yescharacteristic
394C23×C4C22×D511yescharacteristic
395C23×C4C22×D511yescharacteristic
396C23×C4C22×D511yescharacteristic
397C23×C4C22×D511yescharacteristic
398#126—1032no—
399#125—1032no—
400C2×C4⋊C4—24no—
401C2×C4⋊C4—24no—
402C2×C4⋊C4—24no—
403C2×C4⋊C4—24no—
404C2×C4⋊C4—54no—
405C2×C4⋊C4—54no—
406C2×C4⋊C4—54no—
407C2×C4⋊C4—54no—
408C2×C4⋊C4—54no—
409C2×C4⋊C4—54no—
410C2×C4⋊C4—54no—
411C2×C4⋊C4—54no—
412C2×C4⋊C4—54no—
413C2×C4⋊C4—54no—
414C2×C4⋊C4—54no—
415C2×C4⋊C4—104no—
416C2×C4⋊C4—104no—
417C2×C4⋊C4—104no—
418C2×C4⋊C4—104no—
419C2×C4⋊C4—104no—
420C2×C4⋊C4—104no—
421C2×C4⋊C4—104no—
422C2×C4⋊C4—104no—
423C2×C4⋊C4—104no—
424C2×C4⋊C4—202no—
425C2×C4⋊C4—202no—
426C2×C4⋊C4C22×D514yes—
427C2×C4⋊C4C22×D514yes—
428C2×C4⋊C4C22×D514yes—
429C2×C4⋊C4C22×D514yes—
430C2×C22⋊C4—54no—
431C2×C22⋊C4—54no—
432C2×C22⋊C4—54no—
433C2×C22⋊C4—54no—
434C2×C22⋊C4—54no—
435C2×C22⋊C4—54no—
436C2×C22⋊C4—54no—
437C2×C22⋊C4—104no—
438C2×C22⋊C4—104no—
439C2×C22⋊C4—104no—
440C2×C22⋊C4—104no—
441C2×C22⋊C4—104no—
442C2×C22⋊C4—202no—
443C2×C22⋊C4—202no—
444C2×C42—58no—
445C2×C42—54no—
446C2×C42—54no—
447C2×C42—54no—
448C2×C42—202no—
449C2×C42—202no—
450#95—54no—
451#95—54no—
452#95—54no—
453#95—54no—
454#95—54no—
455#95—54no—
456#95—54no—
457#95C22×D514yes—
458#95C22×D514yes—
459#95C22×D514yes—
460C22×C5#53214yes—
461C22×C5#53614yes—
462C22×C5#53714yes—
463C22×C5#53914yes—
464C22×C5#53914yes—
465C22×C5#54114yes—
466C22×C5#54114yes—
467C22×C5C23×D411yescharacteristic
468C22×C5C22×#4111yescharacteristic
469C22×C5C22×#4111yescharacteristic
470C22×C5C2×H(5,𝔽2)11yescharacteristic
471C22×C5C2×2−1+411yescharacteristic
472C22×C5C2×2−1+411yescharacteristic
473C22×C5C2×2−1+411yescharacteristic
474C2×D5—42no—
475C2×D5—42no—
476C2×D5—42no—
477C2×D5—42no—
478C2×D5—42no—
479C2×D5—42no—
480C2×D5—42no—
481C2×D5—88no—
482C4×C5—24no—
483C4×C5—24no—
484C4×C5—42no—
485C4×C5—42no—
486C4×C5—42no—
487C4×C5—42no—
488C4×C5—42no—
489Dic5—24no—
490Dic5—24no—
491Dic5—24no—
492Dic5—42no—
493Dic5—42no—
494Dic5—42no—
495Dic5—42no—
496C24—52no—
497C24—102no—
498C24—102no—
499C24—102no—
500C24—102no—
501C24—102no—
502C24—102no—
503C24—102no—
504C24C23×D511yescharacteristic
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—54no—
525C22×C4—54no—
526C22×C4—54no—
527C22×C4—52no—
528C22×C4—52no—
529C22×C4—52no—
530C22×C4—52no—
531C22×C4—52no—
532C22×C4—52no—
533C22×C4—52no—
534C22×C4—102no—
535C22×C4—102no—
536C22×C4—102no—
537C22×C4—102no—
538C22×C4—102no—
539C22×C4—102no—
540C22×C4—102no—
541C22×C4—102no—
542C22×C4—102no—
543C22×C4—102no—
544C22×C4—102no—
545C22×C4—102no—
546C22×C4—102no—
547C22×C4—102no—
548C22×C4—102no—
549C22×C4—102no—
550C22×C4—102no—
551C22×C4—102no—
552C22×C4D4×D514yes—
553C22×C4#71114yes—
554C22×C4C23×D512yes—
555C22×C4C23×D512yes—
556C22×C4C23×D512yes—
557C22×C4C23×D512yes—
558C22×C4C23×D512yes—
559C22×C4C23×D512yes—
560C22×C4C23×D512yes—
561C4⋊C4—28no—
562C4⋊C4—28no—
563C4⋊C4—28no—
564C4⋊C4—28no—
565C4⋊C4—108no—
566C4⋊C4—108no—
567C4⋊C4—108no—
568C4⋊C4—108no—
569C4⋊C4—108no—
570C4⋊C4—108no—
571C4⋊C4—108no—
572C4⋊C4—108no—
573C4⋊C4—108no—
574C4⋊C4—204no—
575C4⋊C4—204no—
576C22⋊C4—108no—
577C22⋊C4—108no—
578C22⋊C4—108no—
579C22⋊C4—108no—
580C22⋊C4—108no—
581C22⋊C4—204no—
582C22⋊C4—204no—
583C42—516no—
584C42—204no—
585C42—204no—
586C2×C5#266418yescomplemented
587C2×C5C2×#53211yescharacteristic
588C2×C5C2×#53611yescharacteristic
589C2×C5C2×#53711yescharacteristic
590C2×C5C2×#53911yescharacteristic
591C2×C5C2×#53911yescharacteristic
592C2×C5C2×#54111yescharacteristic
593C2×C5C2×#54111yescharacteristic
594D5—82no—
595C23—102no—
596C23—102no—
597C23—102no—
598C23—102no—
599C23—102no—
600C23—102no—
601C23—102no—
602C23—204no—
603C23—204no—
604C23—204no—
605C23—204no—
606C23—204no—
607C23—204no—
608C23—204no—
609C23C2×D4×D512yes—
610C23C2×#71112yes—
611C23#414712yes—
612C23#414712yes—
613C23D5×#4112yes—
614C23#414912yes—
615C23#415012yes—
616C23C24×D511yescharacteristic
617C2×C4—28no—
618C2×C4—28no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—44no—
639C2×C4—44no—
640C2×C4—44no—
641C2×C4—44no—
642C2×C4—44no—
643C2×C4—54no—
644C2×C4—54no—
645C2×C4—54no—
646C2×C4—108no—
647C2×C4—108no—
648C2×C4—102no—
649C2×C4—102no—
650C2×C4—102no—
651C2×C4—102no—
652C2×C4—102no—
653C2×C4—108no—
654C2×C4—102no—
655C2×C4—102no—
656C2×C4—102no—
657C2×C4—102no—
658C2×C4—102no—
659C2×C4—102no—
660C2×C4—102no—
661C2×C4—102no—
662C2×C4—102no—
663C2×C4—102no—
664C2×C4—102no—
665C2×C4—102no—
666C2×C4—102no—
667C2×C4—204no—
668C2×C4—204no—
669C2×C4—204no—
670C2×C4—204no—
671C2×C4C2×D4×D514yes—
672C2×C4C2×#71114yes—
673C5C2×#266411yescharacteristic, complemented, Sylow
674C22—202no—
675C22—202no—
676C22—202no—
677C22—202no—
678C22—202no—
679C22—202no—
680C22—202no—
681C22—408no—
682C22#6593014yes—
683C22#6596214yes—
684C22#6596314yes—
685C22#6599914yes—
686C22#6602614yes—
687C22#6603014yes—
688C22#6606514yes—
689C22C22×D4×D511yescharacteristic
690C22C22×#71111yescharacteristic
691C22C2×#414711yescharacteristic
692C22C2×#414711yescharacteristic
693C22C2×D5×#4111yescharacteristic
694C22C2×#414911yescharacteristic
695C22C2×#415011yescharacteristic
696C4—24no—
697C4—24no—
698C4—42no—
699C4—42no—
700C4—42no—
701C4—42no—
702C4—42no—
703C4—104no—
704C4—104no—
705C4—104no—
706C4—202no—
707C4—202no—
708C4—202no—
709C4—202no—
710C2—402no—
711C2#1060957018yesdirect product factor
712C2C2×#6593011yescharacteristic
713C2C2×#6596211yescharacteristic
714C2C2×#6596311yescharacteristic
715C2C2×#6599911yescharacteristic
716C2C2×#6603011yescharacteristic
717C2C2×#6602611yescharacteristic
718C2C2×#6606511yescharacteristic
subgroupG/H
centerC24C23×D5
commutator, cosocleC23×C5C25
FrattiniC23C24×D5
FittingC2×C5×#398C2
socleC24×C5C24
prime radicalC24×D5C23
hypercenterC2×#398D5
hypocenterC5C2×#2664
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C24 ◁ C2×#398

Complements

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

NH ≅ G/Ntype
2. C22×#4035C2semidirect
3. C2×C5×#398C2semidirect
7. C2×#65273C2semidirect
8. C2×#65274C2semidirect
9. C2×C4⋊C4×Dic5C2semidirect
10. #10609570C2direct (N × H)
12. C2×#64947C2semidirect
13. C2×#64946C2semidirect
14. C2×#64936C2semidirect
45. C2×#4035C22semidirect
46. C5×#398C22semidirect
60. #65274C22semidirect
61. #65273C22semidirect
62. C4⋊C4×Dic5C22semidirect
66. #64947C22semidirect
67. #64946C22semidirect
68. #64936C22semidirect
154. C2×#398D5semidirect
286. #398C2×D5semidirect
586. C2×C5#2664semidirect
673. C5C2×#2664semidirect
711. C2#10609570direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#40442
C22×#40352
C2×C5×#3982
C2×#652812
C2×#652832
C2×#652732
C2×#652742
C2×C4⋊C4×Dic52
#106095702
C2×#649642
C2×#649472
C2×#649462
C2×#649362
C2×#649592
C2×#649582
C2×#26645