Finite Group Databasebeta

← C2×#10607092 #12269682

Subgroups — C2×#10607092 #12269682

Order 1280.

2486 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#387C211yesmaximal, characteristic, complemented
2C2×#65278C211yesmaximal, characteristic
3C2×#65276C211yesmaximal, characteristic
4C2×#65271C211yesmaximal, characteristic, complemented
5C2×#65269C211yesmaximal, characteristic, complemented
6C2×#65222C211yesmaximal, characteristic, complemented
7C2×C4×#685C211yesmaximal, characteristic
8#10607092C2116yesmaximal, direct product factor
9C2×#64957C211yesmaximal, characteristic
10C2×#64956C211yesmaximal, characteristic
11C2×#64956C211yesmaximal, characteristic
12C2×D5×#95C211yesmaximal, characteristic
13C2×#64948C211yesmaximal, characteristic, complemented
14C2×#64946C211yesmaximal, characteristic, complemented
15C2×#64944C211yesmaximal, characteristic, complemented
16C2×#64944C211yesmaximal, characteristic, complemented
17C23×C4×D5C2211yescharacteristic
18C23×C4×D5C2211yescharacteristic
19C23×C4×D5C2211yescharacteristic
20C22×C5×C4⋊C4C2211yescharacteristic
21C22×C5×C4⋊C4C2211yescharacteristic
22C22×C42×C5C2211yescharacteristic
23C22×#685C2211yescharacteristic
24C22×#685C2211yescharacteristic
25C22×#685C2211yescharacteristic
26C22×#685C2211yescharacteristic
27C22×C4⋊Dic5C2211yescharacteristic
28C22×C4⋊Dic5C2211yescharacteristic
29C22×#683C2211yescharacteristic
30C22×#683C2211yescharacteristic
31C22×#683C2211yescharacteristic
32C22×#683C2211yescharacteristic
33C22×#683C2211yescharacteristic
34C22×#683C2211yescharacteristic
35C22×C4×Dic5C2211yescharacteristic
36C5×#387C2218yescomplemented
37C2×C5×#95C2211yescharacteristic
38C2×C5×#95C2211yescharacteristic
39C2×C5×#95C2211yescharacteristic
40C2×C5×#95C2211yescharacteristic
41C2×#3963C2211yescharacteristic
42C2×#3963C2211yescharacteristic
43C2×#3963C2211yescharacteristic
44C2×#3963C2211yescharacteristic
45C2×#3963C2211yescharacteristic
46C2×#3963C2211yescharacteristic
47C2×#3963C2211yescharacteristic
48C2×#3963C2211yescharacteristic
49C2×#3963C2211yescharacteristic
50C2×#3963C2211yescharacteristic
51C2×#3963C2211yescharacteristic
52C2×#3963C2211yescharacteristic
53#65278C2218yes—
54#65276C2218yes—
55#65271C2218yescomplemented
56#65269C2218yescomplemented
57C4×#685C2218yes—
58#65222C2218yescomplemented
59#64957C2218yes—
60#64956C2218yes—
61#64956C2218yes—
62D5×#95C2218yes—
63#64948C2218yescomplemented
64#64946C2218yescomplemented
65#64944C2218yescomplemented
66#64944C2218yescomplemented
67C2×#2569—51nomaximal, Sylow
68C24×D5C2311yescharacteristic
69C23×C4×C5C2311yescharacteristic
70C23×C4×C5C2311yescharacteristic
71C23×C4×C5C2311yescharacteristic
72C23×C4×C5C2311yescharacteristic
73C23×C4×C5C2311yescharacteristic
74C23×C4×C5C2311yescharacteristic
75C23×C4×C5C2311yescharacteristic
76C23×Dic5C2311yescharacteristic
77C23×Dic5C2311yescharacteristic
78C23×Dic5C2311yescharacteristic
79C23×Dic5C2311yescharacteristic
80C23×Dic5C2311yescharacteristic
81C23×Dic5C2311yescharacteristic
82C23×Dic5C2311yescharacteristic
83C22×C4×D5—24no—
84C22×C4×D5—24no—
85C22×C4×D5—24no—
86C22×C4×D5—24no—
87C22×C4×D5—42no—
88C22×C4×D5—42no—
89C22×C4×D5—42no—
90C22×C4×D5—42no—
91C22×C4×D5Q818yes—
92C22×C4×D5C2314yes—
93C22×C4×D5C2314yes—
94C22×C4×D5C2314yes—
95C2×C5×C4⋊C4—24no—
96C2×C5×C4⋊C4—42no—
97C2×C5×C4⋊C4C2314yes—
98C2×C5×C4⋊C4C2314yes—
99C2×C42×C5—42no—
100C2×C42×C5C2314yes—
101C2×#685—24no—
102C2×#685—24no—
103C2×#685—24no—
104C2×#685—24no—
105C2×#685C2314yes—
106C2×#685C2314yes—
107C2×#685C2314yes—
108C2×#685C2314yes—
109C2×C4⋊Dic5—42no—
110C2×C4⋊Dic5—42no—
111C2×C4⋊Dic5C2314yes—
112C2×C4⋊Dic5C2314yes—
113C2×#683—24no—
114C2×#683—24no—
115C2×#683—24no—
116C2×#683—42no—
117C2×#683—42no—
118C2×#683—42no—
119C2×#683C2314yes—
120C2×#683C2314yes—
121C2×#683C2314yes—
122C2×#683C2314yes—
123C2×#683C2314yes—
124C2×#683C2314yes—
125C2×C4×Dic5—42no—
126C2×C4×Dic5C2314yes—
127C5×#95C2314yes—
128C5×#95C2314yes—
129C5×#95C2314yes—
130C5×#95C2314yes—
131#3963C2314yes—
132#3963C2314yes—
133#3963C2314yes—
134#3963C2314yes—
135#3963C2314yes—
136#3963C2314yes—
137#3963C2314yes—
138#3963C2314yes—
139#3963C2314yes—
140#3963C2314yes—
141#3963C2314yes—
142#3963C2314yes—
143#2569—516no—
144C2×#400—51no—
145C2×#400—51no—
146C2×#398—51no—
147C2×#398—51no—
148C2×#387—51no—
149C2×#387—51no—
150C2×#387—51no—
151C2×#387D511yescharacteristic, complemented
152C2×#385—51no—
153C2×#385—51no—
154C2×#380—51no—
155C2×#380—51no—
156C2×#380—51no—
157C2×C4×C22⋊C4—51no—
158C22×#95—51no—
159C24×C5C2411yescharacteristic
160C23×D5—22no—
161C23×D5—22no—
162C23×D5—22no—
163C23×D5—22no—
164C23×D5C2×Q814yes—
165C23×D5#4114yes—
166C23×D5#4114yes—
167C23×D5C2412yes—
168C22×C4×C5—22no—
169C22×C4×C5—22no—
170C22×C4×C5—22no—
171C22×C4×C5—22no—
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×C5C2×Q814yes—
188C22×C4×C5#4114yes—
189C22×C4×C5C2412yes—
190C22×C4×C5C2412yes—
191C22×C4×C5C2412yes—
192C22×C4×C5C2412yes—
193C22×C4×C5C2412yes—
194C22×C4×C5C2412yes—
195C22×C4×C5C2412yes—
196C22×Dic5—22no—
197C22×Dic5—22no—
198C22×Dic5—22no—
199C22×Dic5—22no—
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×Dic5C2×Q814yes—
216C22×Dic5#4114yes—
217C22×Dic5C2412yes—
218C22×Dic5C2412yes—
219C22×Dic5C2412yes—
220C22×Dic5C2412yes—
221C22×Dic5C2412yes—
222C22×Dic5C2412yes—
223C22×Dic5C2412yes—
224C2×C4×D5—28no—
225C2×C4×D5—28no—
226C2×C4×D5—28no—
227C2×C4×D5—28no—
228C2×C4×D5—416no—
229C2×C4×D5—44no—
230C2×C4×D5—44no—
231C2×C4×D5—44no—
232C2×C4×D5—44no—
233C2×C4×D5—416no—
234C2×C4×D5—416no—
235C2×C4×D5C2×Q8116yes—
236C5×C4⋊C4—28no—
237C5×C4⋊C4—44no—
238C42×C5—44no—
239#685—28no—
240#685—28no—
241#685—28no—
242#685—28no—
243C4⋊Dic5—44no—
244C4⋊Dic5—44no—
245#683—28no—
246#683—28no—
247#683—28no—
248#683—44no—
249#683—44no—
250#683—44no—
251C4×Dic5—44no—
252C24×C4—51no—
253C24×C4—51no—
254C24×C4—51no—
255C22×C4⋊C4—51no—
256C22×C4⋊C4—51no—
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⋊C4C2×D511yescharacteristic
264C22×C4⋊C4C2×D511yescharacteristic
265C22×C22⋊C4—51no—
266C22×C22⋊C4—51no—
267C22×C22⋊C4—51no—
268C22×C22⋊C4—51no—
269C22×C42—51no—
270C22×C42C2×D511yescharacteristic
271#400—58no—
272#400—58no—
273#398—58no—
274#398—58no—
275#387—58no—
276#387—58no—
277#387—58no—
278#387C2×D518yescomplemented
279#385—58no—
280#385—58no—
281#380—58no—
282#380—58no—
283#380—58no—
284C4×C22⋊C4—58no—
285C2×#95—51no—
286C2×#95—51no—
287C2×#95—51no—
288C2×#95—51no—
289C2×#95—51no—
290C2×#95—51no—
291C2×#95—51no—
292C2×#95—51no—
293C2×#95—51no—
294C2×#95—51no—
295C2×#95—51no—
296C2×#95—51no—
297C2×#95—58no—
298C2×#95C2×D511yescharacteristic
299C2×#95C2×D511yescharacteristic
300C2×#95C2×D511yescharacteristic
301C2×#95C2×D511yescharacteristic
302C23×C5C22×Q812yes—
303C23×C5C2×#4112yes—
304C23×C5C2×#4112yes—
305C23×C5C2×#4112yes—
306C23×C5C2×#4112yes—
307C23×C5H(5,𝔽2)12yes—
308C23×C5H(5,𝔽2)12yes—
309C23×C5C2511yescharacteristic
310C22×D5—28no—
311C22×D5—28no—
312C22×D5—28no—
313C22×D5—28no—
314C22×D5—28no—
315C22×D5—28no—
316C22×D5—22no—
317C22×D5—22no—
318C22×D5—22no—
319C22×D5—22no—
320C22×D5#125116yes—
321C22×D5C22×Q814yes—
322C22×D5C2×#4114yes—
323C22×D5C2×#4114yes—
324C2×C4×C5—28no—
325C2×C4×C5—28no—
326C2×C4×C5—22no—
327C2×C4×C5—22no—
328C2×C4×C5—22no—
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—44no—
346C2×C4×C5—44no—
347C2×C4×C5—44no—
348C2×C4×C5—44no—
349C2×C4×C5—44no—
350C2×C4×C5C22×Q814yes—
351C2×C4×C5C2×#4114yes—
352C2×Dic5—28no—
353C2×Dic5—28no—
354C2×Dic5—22no—
355C2×Dic5—22no—
356C2×Dic5—22no—
357C2×Dic5—22no—
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—44no—
374C2×Dic5—44no—
375C2×Dic5—44no—
376C2×Dic5—44no—
377C2×Dic5—44no—
378C2×Dic5C22×Q814yes—
379C2×Dic5C2×#4114yes—
380C4×D5—416no—
381C4×D5—416no—
382C4×D5—416no—
383C25—51no—
384C23×C4—51no—
385C23×C4—51no—
386C23×C4—58no—
387C23×C4—54no—
388C23×C4—51no—
389C23×C4—51no—
390C23×C4—51no—
391C23×C4—51no—
392C23×C4—51no—
393C23×C4—54no—
394C23×C4—54no—
395C23×C4—104no—
396C23×C4—104no—
397C23×C4—104no—
398C23×C4—104no—
399C23×C4—202no—
400C23×C4—202no—
401C23×C4—202no—
402C23×C4—202no—
403C23×C4C22×D511yescharacteristic
404C23×C4C22×D511yescharacteristic
405C23×C4C22×D511yescharacteristic
406C23×C4C22×D511yescharacteristic
407C23×C4C22×D511yescharacteristic
408C23×C4C22×D511yescharacteristic
409C23×C4C22×D511yescharacteristic
410C2×C4⋊C4—24no—
411C2×C4⋊C4—42no—
412C2×C4⋊C4—54no—
413C2×C4⋊C4—54no—
414C2×C4⋊C4—54no—
415C2×C4⋊C4—54no—
416C2×C4⋊C4—54no—
417C2×C4⋊C4—54no—
418C2×C4⋊C4—54no—
419C2×C4⋊C4—54no—
420C2×C4⋊C4—104no—
421C2×C4⋊C4—104no—
422C2×C4⋊C4—104no—
423C2×C4⋊C4—202no—
424C2×C4⋊C4—202no—
425C2×C4⋊C4—202no—
426C2×C4⋊C4—202no—
427C2×C4⋊C4—202no—
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—104no—
435C2×C22⋊C4—104no—
436C2×C22⋊C4—104no—
437C2×C22⋊C4—104no—
438C2×C42—42no—
439C2×C42—54no—
440C2×C42—202no—
441C2×C42C22×D514yes—
442#95—54no—
443#95—54no—
444#95—54no—
445#95—54no—
446#95—54no—
447#95—54no—
448#95—54no—
449#95—54no—
450#95—54no—
451#95—54no—
452#95—54no—
453#95—54no—
454#95C22×D514yes—
455#95C22×D514yes—
456#95C22×D514yes—
457#95C22×D514yes—
458C22×C5C2×#12514yes—
459C22×C5#53314yes—
460C22×C5#54314yes—
461C22×C5#55114yes—
462C22×C5#55114yes—
463C22×C5#55314yes—
464C22×C5#55314yes—
465C22×C5C23×Q811yescharacteristic
466C22×C5C22×#4111yescharacteristic
467C22×C5C22×#4111yescharacteristic
468C22×C5C22×#4111yescharacteristic
469C22×C5C22×#4111yescharacteristic
470C22×C5C2×H(5,𝔽2)11yescharacteristic
471C22×C5C2×H(5,𝔽2)11yescharacteristic
472C2×D5—232no—
473C2×D5—24no—
474C2×D5—24no—
475C2×D5—24no—
476C2×D5—24no—
477C2×D5—24no—
478C2×D5—24no—
479C2×D5C2×#12518yes—
480C4×C5—24no—
481C4×C5—24no—
482C4×C5—42no—
483C4×C5—42no—
484C4×C5—42no—
485C4×C5—42no—
486C4×C5—42no—
487Dic5—24no—
488Dic5—24no—
489Dic5—42no—
490Dic5—42no—
491Dic5—42no—
492Dic5—42no—
493Dic5—42no—
494C24—54no—
495C24—54no—
496C24—54no—
497C24—52no—
498C24—102no—
499C24—102no—
500C24—102no—
501C24—102no—
502C24C23×D511yescharacteristic
503C22×C4—22no—
504C22×C4—22no—
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—54no—
523C22×C4—54no—
524C22×C4—52no—
525C22×C4—52no—
526C22×C4—516no—
527C22×C4—52no—
528C22×C4—52no—
529C22×C4—52no—
530C22×C4—52no—
531C22×C4—52no—
532C22×C4—108no—
533C22×C4—108no—
534C22×C4—108no—
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×C4—102no—
553C22×C4—102no—
554C22×C4—108no—
555C22×C4—2016no—
556C22×C4—204no—
557C22×C4—204no—
558C22×C4—204no—
559C22×C4—204no—
560C22×C4—2016no—
561C22×C4—2016no—
562C22×C4#70914yes—
563C22×C4Q8×D514yes—
564C22×C4C23×D512yes—
565C22×C4C23×D512yes—
566C22×C4C23×D512yes—
567C22×C4C23×D512yes—
568C22×C4C23×D512yes—
569C22×C4C23×D512yes—
570C22×C4C23×D512yes—
571C4⋊C4—28no—
572C4⋊C4—44no—
573C4⋊C4—108no—
574C4⋊C4—108no—
575C4⋊C4—108no—
576C4⋊C4—204no—
577C4⋊C4—204no—
578C4⋊C4—204no—
579C4⋊C4—204no—
580C4⋊C4—204no—
581C22⋊C4—108no—
582C22⋊C4—108no—
583C22⋊C4—108no—
584C22⋊C4—108no—
585C42—44no—
586C42—204no—
587C2×C5#256918yescomplemented
588C2×C5C22×#12511yescharacteristic
589C2×C5C2×#53311yescharacteristic
590C2×C5C2×#54311yescharacteristic
591C2×C5C2×#55111yescharacteristic
592C2×C5C2×#55111yescharacteristic
593C2×C5C2×#55311yescharacteristic
594C2×C5C2×#55311yescharacteristic
595D5—28no—
596C23—516no—
597C23—54no—
598C23—54no—
599C23—54no—
600C23—108no—
601C23—108no—
602C23—108no—
603C23—108no—
604C23—108no—
605C23—102no—
606C23—102no—
607C23—102no—
608C23—102no—
609C23—108no—
610C23C2×#70912yes—
611C23#414412yes—
612C23C2×Q8×D512yes—
613C23D5×#4112yes—
614C23D5×#4112yes—
615C23D5×#4112yes—
616C23#414912yes—
617C23C24×D511yescharacteristic
618C2×C4—28no—
619C2×C4—28no—
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—22no—
639C2×C4—44no—
640C2×C4—44no—
641C2×C4—44no—
642C2×C4—44no—
643C2×C4—44no—
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—102no—
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—2016no—
668C2×C4—2016no—
669C2×C4—2016no—
670C2×C4—204no—
671C2×C4—204no—
672C2×C4—204no—
673C2×C4—204no—
674C2×C4—204no—
675C2×C4C2×#70914yes—
676C2×C4C2×Q8×D514yes—
677C5C2×#256911yescharacteristic, complemented, Sylow
678C22—58no—
679C22—104no—
680C22—104no—
681C22—104no—
682C22—104no—
683C22—104no—
684C22—104no—
685C22—1032no—
686C22#6586114yes—
687C22#6589214yes—
688C22#6591214yes—
689C22#6596814yes—
690C22#6599314yes—
691C22D5×#12514yes—
692C22#6604314yes—
693C22C22×#70911yescharacteristic
694C22C2×#414411yescharacteristic
695C22C22×Q8×D511yescharacteristic
696C22C2×D5×#4111yescharacteristic
697C22C2×D5×#4111yescharacteristic
698C22C2×D5×#4111yescharacteristic
699C22C2×#414911yescharacteristic
700C4—24no—
701C4—24no—
702C4—42no—
703C4—42no—
704C4—42no—
705C4—42no—
706C4—42no—
707C4—104no—
708C4—104no—
709C4—202no—
710C4—202no—
711C4—202no—
712C4—202no—
713C4—202no—
714C2—108no—
715C2#1060709218yesdirect product factor
716C2C2×#6586111yescharacteristic
717C2C2×#6589211yescharacteristic
718C2C2×#6591211yescharacteristic
719C2C2×#6596811yescharacteristic
720C2C2×#6599311yescharacteristic
721C2C2×D5×#12511yescharacteristic
722C2C2×#6604311yescharacteristic
subgroupG/H
centerC24C23×D5
commutator, cosocleC23×C5C25
FrattiniC23C24×D5
FittingC2×C5×#387C2
socleC24×C5C24
prime radicalC24×D5C23
hypercenterC2×#387D5
hypocenterC5C2×#2569
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C24 ◁ C2×#387

Complements

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

NH ≅ G/Ntype
1. C2×C5×#387C2semidirect
4. C2×#65271C2semidirect
5. C2×#65269C2semidirect
6. C2×#65222C2semidirect
8. #10607092C2direct (N × H)
13. C2×#64948C2semidirect
14. C2×#64946C2semidirect
15. C2×#64944C2semidirect
16. C2×#64944C2semidirect
36. C5×#387C22semidirect
55. #65271C22semidirect
56. #65269C22semidirect
58. #65222C22semidirect
63. #64948C22semidirect
64. #64946C22semidirect
65. #64944C22semidirect
66. #64944C22semidirect
151. C2×#387D5semidirect
278. #387C2×D5semidirect
587. C2×C5#2569semidirect
677. C5C2×#2569semidirect
715. C2#10607092direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#3872
C2×#652782
C2×#652762
C2×#652712
C2×#652692
C2×#652222
C2×C4×#6852
#106070922
C2×#649572
C2×#649562
C2×D5×#952
C2×#649482
C2×#649462
C2×#649442
C2×#25695