Finite Group Databasebeta

← C2×#10607109 #12266243

Subgroups — C2×#10607109 #12266243

Order 1280.

2482 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
1C22×#4044C211yesmaximal, characteristic
2C22×C4×Dic10C211yesmaximal, characteristic, complemented
3C2×C5×#387C211yesmaximal, characteristic, complemented
4C2×#65283C211yesmaximal, characteristic
5C2×#65268C211yesmaximal, characteristic, complemented
6C2×#65267C211yesmaximal, characteristic, complemented
7C2×#65229C211yesmaximal, characteristic
8#10607109C2116yesmaximal, direct product factor
9C2×#64964C211yesmaximal, characteristic
10C2×#64965C211yesmaximal, characteristic
11C2×#64962C211yesmaximal, characteristic
12C2×#64950C211yesmaximal, characteristic, complemented
13C2×#64946C211yesmaximal, characteristic, complemented
14C2×#64946C211yesmaximal, characteristic, complemented
15C2×#64959C211yesmaximal, characteristic
16C2×#64939C211yesmaximal, characteristic, complemented
17C23×Dic10C2211yescharacteristic
18C22×C5×C4⋊C4C2211yescharacteristic
19C22×C5×C4⋊C4C2211yescharacteristic
20C22×C42×C5C2211yescharacteristic
21C22×#685C2211yescharacteristic
22C22×#685C2211yescharacteristic
23C22×#685C2211yescharacteristic
24C22×#685C2211yescharacteristic
25C22×#685C2211yescharacteristic
26C22×#685C2211yescharacteristic
27C22×#685C2211yescharacteristic
28C22×C4⋊Dic5C2211yescharacteristic
29C22×C4⋊Dic5C2211yescharacteristic
30C22×C4⋊Dic5C2211yescharacteristic
31C22×#683C2211yescharacteristic
32C22×#683C2211yescharacteristic
33C22×#683C2211yescharacteristic
34C22×#683C2211yescharacteristic
35C22×#683C2211yescharacteristic
36C22×#683C2211yescharacteristic
37C22×#683C2211yescharacteristic
38C22×C4×Dic5C2211yescharacteristic
39C22×C4×Dic5C2211yescharacteristic
40C2×#4044—28no—
41C2×#4044C2218yes—
42C2×C4×Dic10—28no—
43C2×C4×Dic10C2218yescomplemented
44C5×#387C2218yescomplemented
45C2×C5×#95C2211yescharacteristic
46C2×C5×#95C2211yescharacteristic
47C2×C5×#95C2211yescharacteristic
48C2×C5×#95C2211yescharacteristic
49C2×#3963C2211yescharacteristic
50C2×#3963C2211yescharacteristic
51C2×#3963C2211yescharacteristic
52C2×#3963C2211yescharacteristic
53C2×#3963C2211yescharacteristic
54C2×#3963C2211yescharacteristic
55C2×#3963C2211yescharacteristic
56C2×#3963C2211yescharacteristic
57#65283C2218yes—
58#65268C2218yescomplemented
59#65267C2218yescomplemented
60#65229C2218yes—
61#64965C2218yes—
62#64964C2218yes—
63#64962C2218yes—
64#64959C2218yes—
65#64950C2218yescomplemented
66#64946C2218yescomplemented
67#64946C2218yescomplemented
68#64939C2218yescomplemented
69C2×#2637—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
85C22×Dic10—24no—
86C22×Dic10—24no—
87C22×Dic10—24no—
88C22×Dic10C2314yes—
89C2×C5×C4⋊C4—24no—
90C2×C5×C4⋊C4—24no—
91C2×C5×C4⋊C4C2314yes—
92C2×C5×C4⋊C4C2314yes—
93C2×C42×C5—24no—
94C2×C42×C5C2314yes—
95C2×#685—24no—
96C2×#685—24no—
97C2×#685—24no—
98C2×#685—24no—
99C2×#685—24no—
100C2×#685—42no—
101C2×#685—42no—
102C2×#685C2314yes—
103C2×#685C2314yes—
104C2×#685C2314yes—
105C2×#685C2314yes—
106C2×#685C2314yes—
107C2×#685C2314yes—
108C2×#685C2314yes—
109C2×C4⋊Dic5—24no—
110C2×C4⋊Dic5—24no—
111C2×C4⋊Dic5—42no—
112C2×C4⋊Dic5C2314yes—
113C2×C4⋊Dic5C2314yes—
114C2×C4⋊Dic5C2314yes—
115C2×#683—24no—
116C2×#683—24no—
117C2×#683—24no—
118C2×#683—24no—
119C2×#683—42no—
120C2×#683—42no—
121C2×#683—42no—
122C2×#683C2314yes—
123C2×#683C2314yes—
124C2×#683C2314yes—
125C2×#683C2314yes—
126C2×#683C2314yes—
127C2×#683C2314yes—
128C2×#683C2314yes—
129C2×C4×Dic5—24no—
130C2×C4×Dic5D418yes—
131C2×C4×Dic5C2314yes—
132C2×C4×Dic5C2314yes—
133#4044—232no—
134C4×Dic10—232no—
135C5×#95C2314yes—
136C5×#95C2314yes—
137C5×#95C2314yes—
138C5×#95C2314yes—
139#3963C2314yes—
140#3963C2314yes—
141#3963C2314yes—
142#3963C2314yes—
143#3963C2314yes—
144#3963C2314yes—
145#3963C2314yes—
146#3963C2314yes—
147C22×#126—51no—
148C22×C4×Q8—51no—
149#2637—516no—
150C2×#398—51no—
151C2×#398—51no—
152C2×#398—51no—
153C2×#397—51no—
154C2×#396—51no—
155C2×#396—51no—
156C2×#395—51no—
157C2×#393—51no—
158C2×#388—51no—
159C2×#388—51no—
160C2×#387—51no—
161C2×#387D511yescharacteristic, complemented
162C2×#382—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—
228C2×Dic10—232no—
229C2×Dic10—28no—
230C2×Dic10—28no—
231C2×Dic10—28no—
232C5×C4⋊C4—28no—
233C5×C4⋊C4—28no—
234C42×C5—28no—
235#685—28no—
236#685—28no—
237#685—28no—
238#685—28no—
239#685—28no—
240#685—44no—
241#685—44no—
242C4⋊Dic5—28no—
243C4⋊Dic5—28no—
244C4⋊Dic5—44no—
245#683—28no—
246#683—28no—
247#683—28no—
248#683—28no—
249#683—44no—
250#683—44no—
251#683—44no—
252C4×Dic5—28no—
253C4×Dic5C2×D4116yes—
254C23×Q8—51no—
255C2×#126—58no—
256C2×#126—108no—
257C2×C4×Q8—58no—
258C2×C4×Q8—108no—
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⋊C4—51no—
269C22×C4⋊C4C2×D511yescharacteristic
270C22×C4⋊C4C2×D511yescharacteristic
271C22×C22⋊C4—51no—
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×C42—51no—
279C22×C42—51no—
280C22×C42C2×D511yescharacteristic
281#398—58no—
282#398—58no—
283#398—58no—
284#397—58no—
285#396—58no—
286#396—58no—
287#395—58no—
288#393—58no—
289#388—58no—
290#388—58no—
291#387—58no—
292#387C2×D518yescomplemented
293#382—58no—
294C2×#95—51no—
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
305C2×#95C2×D511yescharacteristic
306C23×C5C22×D412yes—
307C23×C5C2×#4112yes—
308C23×C5C2×#4112yes—
309C23×C5H(5,𝔽2)12yes—
310C23×C52−1+412yes—
311C23×C52−1+412yes—
312C23×C52−1+412yes—
313C23×C5C2511yescharacteristic
314C22×D5—22no—
315C22×D5—22no—
316C22×D5—22no—
317C22×D5—22no—
318C22×D5—22no—
319C22×D5—22no—
320C22×D5—22no—
321C22×D5—44no—
322C22×D5—44no—
323C22×D5—44no—
324C22×D5—44no—
325C22×D5—44no—
326C22×D5—44no—
327C22×D5—44no—
328C2×C4×C5—28no—
329C2×C4×C5—28no—
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—22no—
349C2×C4×C5—44no—
350C2×C4×C5—44no—
351C2×C4×C5—44no—
352C2×C4×C5—44no—
353C2×C4×C5—44no—
354C2×C4×C5C22×D414yes—
355C2×C4×C5C2×#4114yes—
356C2×Dic5—28no—
357C2×Dic5—28no—
358C2×Dic5—28no—
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—22no—
377C2×Dic5—44no—
378C2×Dic5—44no—
379C2×Dic5—44no—
380C2×Dic5—44no—
381C2×Dic5C22×D414yes—
382C2×Dic5C22×D414yes—
383C2×Dic5C2×#4114yes—
384Dic10—232no—
385C25—51no—
386C22×Q8—54no—
387C22×Q8—104no—
388C22×Q8—104no—
389C22×Q8—104no—
390C23×C4—51no—
391C23×C4—51no—
392C23×C4—51no—
393C23×C4—51no—
394C23×C4—51no—
395C23×C4—51no—
396C23×C4—51no—
397C23×C4C22×D511yescharacteristic
398C23×C4C22×D511yescharacteristic
399C23×C4C22×D511yescharacteristic
400C23×C4C22×D511yescharacteristic
401C23×C4C22×D511yescharacteristic
402C23×C4C22×D511yescharacteristic
403C23×C4C22×D511yescharacteristic
404#126—1032no—
405C4×Q8—1032no—
406C2×C4⋊C4—24no—
407C2×C4⋊C4—24no—
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—54no—
416C2×C4⋊C4—54no—
417C2×C4⋊C4—54no—
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⋊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—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—24no—
445C2×C42—58no—
446C2×C42—54no—
447C2×C42—54no—
448C2×C42—104no—
449C2×C42C22×D514yes—
450#95—54no—
451#95—54no—
452#95—54no—
453#95—54no—
454#95—54no—
455#95—54no—
456#95—54no—
457#95—54no—
458#95C22×D514yes—
459#95C22×D514yes—
460#95C22×D514yes—
461#95C22×D514yes—
462C22×C5#52514yes—
463C22×C5#53614yes—
464C22×C5#53714yes—
465C22×C5#54114yes—
466C22×C5#54114yes—
467C22×C5#54214yes—
468C22×C5#54214yes—
469C22×C5C23×D411yescharacteristic
470C22×C5C22×#4111yescharacteristic
471C22×C5C22×#4111yescharacteristic
472C22×C5C2×H(5,𝔽2)11yescharacteristic
473C22×C5C2×2−1+411yescharacteristic
474C22×C5C2×2−1+411yescharacteristic
475C22×C5C2×2−1+411yescharacteristic
476C2×D5—42no—
477C2×D5—42no—
478C2×D5—42no—
479C2×D5—42no—
480C2×D5—42no—
481C2×D5—42no—
482C2×D5—42no—
483C2×D5—88no—
484C4×C5—24no—
485C4×C5—24no—
486C4×C5—42no—
487C4×C5—42no—
488C4×C5—42no—
489C4×C5—42no—
490C4×C5—42no—
491Dic5—24no—
492Dic5—24no—
493Dic5—24no—
494Dic5—42no—
495Dic5—42no—
496Dic5—42no—
497Dic5—42no—
498C24—52no—
499C24—102no—
500C24—102no—
501C24—102no—
502C24—102no—
503C24—102no—
504C24—102no—
505C24—102no—
506C24C23×D511yescharacteristic
507C2×Q8—108no—
508C2×Q8—108no—
509C2×Q8—1032no—
510C2×Q8—108no—
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—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—54no—
531C22×C4—54no—
532C22×C4—54no—
533C22×C4—52no—
534C22×C4—52no—
535C22×C4—52no—
536C22×C4—52no—
537C22×C4—52no—
538C22×C4—52no—
539C22×C4—52no—
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—102no—
555C22×C4—102no—
556C22×C4—102no—
557C22×C4—102no—
558C22×C4#70914yes—
559C22×C4D4×D514yes—
560C22×C4C23×D512yes—
561C22×C4C23×D512yes—
562C22×C4C23×D512yes—
563C22×C4C23×D512yes—
564C22×C4C23×D512yes—
565C22×C4C23×D512yes—
566C22×C4C23×D512yes—
567C4⋊C4—28no—
568C4⋊C4—28no—
569C4⋊C4—108no—
570C4⋊C4—108no—
571C4⋊C4—108no—
572C4⋊C4—108no—
573C4⋊C4—108no—
574C4⋊C4—108no—
575C4⋊C4—204no—
576C4⋊C4—204no—
577C4⋊C4—204no—
578C4⋊C4—204no—
579C22⋊C4—108no—
580C22⋊C4—108no—
581C22⋊C4—108no—
582C22⋊C4—108no—
583C22⋊C4—108no—
584C22⋊C4—204no—
585C22⋊C4—204no—
586C42—28no—
587C42—516no—
588C42—108no—
589C2×C5#263718yescomplemented
590C2×C5C2×#52511yescharacteristic
591C2×C5C2×#53611yescharacteristic
592C2×C5C2×#53711yescharacteristic
593C2×C5C2×#54111yescharacteristic
594C2×C5C2×#54111yescharacteristic
595C2×C5C2×#54211yescharacteristic
596C2×C5C2×#54211yescharacteristic
597D5—82no—
598C23—102no—
599C23—102no—
600C23—102no—
601C23—102no—
602C23—102no—
603C23—102no—
604C23—102no—
605C23—204no—
606C23—204no—
607C23—204no—
608C23—204no—
609C23—204no—
610C23—204no—
611C23—204no—
612C23C2×#70912yes—
613C23C2×D4×D512yes—
614C23#414712yes—
615C23D5×#4112yes—
616C23#414912yes—
617C23#415012yes—
618C23#415012yes—
619C23C24×D511yescharacteristic
620Q8—1032no—
621C2×C4—28no—
622C2×C4—28no—
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—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—44no—
643C2×C4—44no—
644C2×C4—44no—
645C2×C4—44no—
646C2×C4—44no—
647C2×C4—54no—
648C2×C4—54no—
649C2×C4—54no—
650C2×C4—108no—
651C2×C4—108no—
652C2×C4—108no—
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—102no—
668C2×C4—102no—
669C2×C4—102no—
670C2×C4—102no—
671C2×C4—204no—
672C2×C4—204no—
673C2×C4—204no—
674C2×C4—204no—
675C2×C4C2×#70914yes—
676C2×C4C2×D4×D514yes—
677C5C2×#263711yescharacteristic, complemented, Sylow
678C22—202no—
679C22—202no—
680C22—202no—
681C22—202no—
682C22—202no—
683C22—202no—
684C22—202no—
685C22—408no—
686C22#6586814yes—
687C22#6588114yes—
688C22#6591714yes—
689C22#6596314yes—
690C22#6598214yes—
691C22#6603014yes—
692C22#6604414yes—
693C22C22×#70911yescharacteristic
694C22C22×D4×D511yescharacteristic
695C22C2×#414711yescharacteristic
696C22C2×D5×#4111yescharacteristic
697C22C2×#414911yescharacteristic
698C22C2×#415011yescharacteristic
699C22C2×#415011yescharacteristic
700C4—24no—
701C4—24no—
702C4—42no—
703C4—42no—
704C4—42no—
705C4—42no—
706C4—42no—
707C4—104no—
708C4—104no—
709C4—104no—
710C4—202no—
711C4—202no—
712C4—202no—
713C4—202no—
714C2—402no—
715C2#1060710918yesdirect product factor
716C2C2×#6586811yescharacteristic
717C2C2×#6588111yescharacteristic
718C2C2×#6591711yescharacteristic
719C2C2×#6596311yescharacteristic
720C2C2×#6598211yescharacteristic
721C2C2×#6603011yescharacteristic
722C2C2×#6604411yescharacteristic
subgroupG/H
centerC24C23×D5
commutator, cosocleC23×C5C25
FrattiniC23C24×D5
FittingC2×C5×#387C2
socleC24×C5C24
prime radicalC24×D5C23
hypercenterC2×#387D5
hypocenterC5C2×#2637
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C24 ◁ C2×#387

Complements

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

NH ≅ G/Ntype
2. C22×C4×Dic10C2semidirect
3. C2×C5×#387C2semidirect
5. C2×#65268C2semidirect
6. C2×#65267C2semidirect
8. #10607109C2direct (N × H)
12. C2×#64950C2semidirect
13. C2×#64946C2semidirect
14. C2×#64946C2semidirect
16. C2×#64939C2semidirect
43. C2×C4×Dic10C22semidirect
44. C5×#387C22semidirect
58. #65268C22semidirect
59. #65267C22semidirect
65. #64950C22semidirect
66. #64946C22semidirect
67. #64946C22semidirect
68. #64939C22semidirect
161. C2×#387D5semidirect
292. #387C2×D5semidirect
589. C2×C5#2637semidirect
677. C5C2×#2637semidirect
715. C2#10607109direct (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×C4×Dic102
C2×C5×#3872
C2×#652832
C2×#652682
C2×#652672
C2×#652292
#106071092
C2×#649642
C2×#649652
C2×#649622
C2×#649502
C2×#649462
C2×#649592
C2×#649392
C2×#26375