Finite Group Databasebeta

← C2×#10608218 #12258156

Subgroups — C2×#10608218 #12258156

Order 1280.

2678 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×#4092C211yesmaximal, characteristic
2C2×C5×#391C211yesmaximal, characteristic, complemented
3C2×#65519C211yesmaximal, characteristic, complemented
4C2×#65279C211yesmaximal, characteristic
5C2×#65267C211yesmaximal, characteristic, complemented
6C2×#65229C211yesmaximal, characteristic
7C2×C4×#683C211yesmaximal, characteristic, complemented
8#10608218C2116yesmaximal, direct product factor
9C2×#64953C211yesmaximal, characteristic
10C2×#64959C211yesmaximal, characteristic
11C2×#64958C211yesmaximal, characteristic
12C2×#64944C211yesmaximal, characteristic, complemented
13C2×#64943C211yesmaximal, characteristic, complemented
14C2×#64942C211yesmaximal, characteristic, complemented
15C2×#64938C211yesmaximal, characteristic, complemented
16C2×#64955C211yesmaximal, characteristic
17C23×C5×Q8C2211yescharacteristic
18C23×C4×D5C2211yescharacteristic
19C22×C5×C4⋊C4C2211yescharacteristic
20C22×C42×C5C2211yescharacteristic
21C2×#4092C4116yescomplemented
22C2×#4092C2218yes—
23C22×#685C2211yescharacteristic
24C22×#685C2211yescharacteristic
25C22×#685C2211yescharacteristic
26C22×#685C2211yescharacteristic
27C22×#685C2211yescharacteristic
28C22×#685C2211yescharacteristic
29C22×C4⋊Dic5C2211yescharacteristic
30C22×C4⋊Dic5C2211yescharacteristic
31C22×#683C2211yescharacteristic
32C22×#683C2211yescharacteristic
33C22×#683C2211yescharacteristic
34C22×#683C2211yescharacteristic
35C22×C4×Dic5C2211yescharacteristic
36C22×C4×Dic5C2211yescharacteristic
37C22×C4×Dic5C2211yescharacteristic
38C22×C4×Dic5C2211yescharacteristic
39C22×C4×Dic5C2211yescharacteristic
40C5×#391C2218yescomplemented
41C2×C5×#95C2211yescharacteristic
42C2×C5×#95C2211yescharacteristic
43C2×C5×#95C2211yescharacteristic
44C2×C5×#95C2211yescharacteristic
45#65519C2218yescomplemented
46C2×#3963C2211yescharacteristic
47C2×#3963C2211yescharacteristic
48C2×#3963C2211yescharacteristic
49C2×#3963C2211yescharacteristic
50C2×#3963C2211yescharacteristic
51C2×#3963C2211yescharacteristic
52C2×#3963C2211yescharacteristic
53C2×#3963C2211yescharacteristic
54C2×#3963C2211yescharacteristic
55C2×#3963C2211yescharacteristic
56#65279C2218yes—
57#65267C2218yescomplemented
58#65229C2218yes—
59C4×#683C2218yescomplemented
60#64959C2218yes—
61#64958C2218yes—
62#64955C2218yes—
63#64953C2218yes—
64#64944C2218yescomplemented
65#64943C2218yescomplemented
66#64942C2218yescomplemented
67#64938C2218yescomplemented
68C2×#2332—51nomaximal, Sylow
69C24×D5C2311yescharacteristic
70C22×C5×Q8—42no—
71C22×C5×Q8—42no—
72C22×C5×Q8C2×C418yes—
73C22×C5×Q8C2314yes—
74C23×C4×C5C2311yescharacteristic
75C23×C4×C5C2311yescharacteristic
76C23×C4×C5C2311yescharacteristic
77C23×C4×C5C2311yescharacteristic
78C23×C4×C5C2311yescharacteristic
79C23×C4×C5C2311yescharacteristic
80C23×C4×C5C2311yescharacteristic
81C23×Dic5C2311yescharacteristic
82C23×Dic5C2311yescharacteristic
83C23×Dic5C2311yescharacteristic
84C23×Dic5C2311yescharacteristic
85C23×Dic5C2311yescharacteristic
86C23×Dic5C2311yescharacteristic
87C23×Dic5C2311yescharacteristic
88C22×C4×D5—42no—
89C22×C4×D5—42no—
90C22×C4×D5C2×C418yes—
91C22×C4×D5C2314yes—
92C2×C5×C4⋊C4—42no—
93C2×C5×C4⋊C4C2314yes—
94C2×C42×C5—42no—
95C2×C42×C5C2314yes—
96#4092C2×C4164yescomplemented
97C2×#685—24no—
98C2×#685—24no—
99C2×#685—42no—
100C2×#685—42no—
101C2×#685C2×C418yes—
102C2×#685C2×C418yes—
103C2×#685C2314yes—
104C2×#685C2314yes—
105C2×#685C2314yes—
106C2×#685C2314yes—
107C2×#685C2314yes—
108C2×#685C2314yes—
109C2×C4⋊Dic5—42no—
110C2×C4⋊Dic5C2×C418yes—
111C2×C4⋊Dic5C2314yes—
112C2×C4⋊Dic5C2314yes—
113C2×#683—24no—
114C2×#683—24no—
115C2×#683C2×C418yes—
116C2×#683C2×C418yes—
117C2×#683C2314yes—
118C2×#683C2314yes—
119C2×#683C2314yes—
120C2×#683C2314yes—
121C2×C4×Dic5—24no—
122C2×C4×Dic5—24no—
123C2×C4×Dic5—42no—
124C2×C4×Dic5—42no—
125C2×C4×Dic5—42no—
126C2×C4×Dic5C2314yes—
127C2×C4×Dic5C2314yes—
128C2×C4×Dic5C2314yes—
129C2×C4×Dic5C2314yes—
130C2×C4×Dic5C2314yes—
131C5×#95C2314yes—
132C5×#95C2314yes—
133C5×#95C2314yes—
134C5×#95C2314yes—
135#3963C2314yes—
136#3963C2314yes—
137#3963C2314yes—
138#3963C2314yes—
139#3963C2314yes—
140#3963C2314yes—
141#3963C2314yes—
142#3963C2314yes—
143#3963C2314yes—
144#3963C2314yes—
145C22×C22⋊Q8—51no—
146#2332—516no—
147C2×#391—51no—
148C2×#391D511yescharacteristic, complemented
149C2×#388—51no—
150C2×#388—51no—
151C2×#388—51no—
152C2×#388—51no—
153C2×#387—51no—
154C2×#387—51no—
155C2×#387—51no—
156C2×#387—51no—
157C2×#381—51no—
158C2×C4×C4⋊C4—51no—
159C2×C4×C4⋊C4—51no—
160C2×C4×C22⋊C4—51no—
161C24×C5C2411yescharacteristic
162C23×D5—22no—
163C23×D5—22no—
164C23×D5—22no—
165C23×D5—22no—
166C23×D5—22no—
167C23×D5—22no—
168C23×D5C22×C414yes—
169C23×D5C2412yes—
170C2×C5×Q8—416no—
171C2×C5×Q8—44no—
172C2×C5×Q8—44no—
173C2×C5×Q8C22×C4116yes—
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×C5C22×C414yes—
192C22×C4×C5C22×C414yes—
193C22×C4×C5C22×C414yes—
194C22×C4×C5#4114yes—
195C22×C4×C5C2412yes—
196C22×C4×C5C2412yes—
197C22×C4×C5C2412yes—
198C22×C4×C5C2412yes—
199C22×C4×C5C2412yes—
200C22×C4×C5C2412yes—
201C22×C4×C5C2412yes—
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×Dic5—22no—
219C22×Dic5C22×C414yes—
220C22×Dic5C22×C414yes—
221C22×Dic5C22×C414yes—
222C22×Dic5#4114yes—
223C22×Dic5C2412yes—
224C22×Dic5C2412yes—
225C22×Dic5C2412yes—
226C22×Dic5C2412yes—
227C22×Dic5C2412yes—
228C22×Dic5C2412yes—
229C22×Dic5C2412yes—
230C2×C4×D5—416no—
231C2×C4×D5—44no—
232C2×C4×D5—44no—
233C2×C4×D5C22×C4116yes—
234C5×C4⋊C4—44no—
235C42×C5—44no—
236#685—28no—
237#685—28no—
238#685—44no—
239#685—44no—
240#685C22×C4116yes—
241#685C22×C4116yes—
242C4⋊Dic5—44no—
243C4⋊Dic5C22×C4116yes—
244#683—28no—
245#683—28no—
246#683C22×C4116yes—
247#683C22×C4116yes—
248C4×Dic5—28no—
249C4×Dic5—28no—
250C4×Dic5—44no—
251C4×Dic5—44no—
252C4×Dic5—44no—
253C23×Q8C2×D511yescharacteristic
254C24×C4—51no—
255C2×C22⋊Q8—516no—
256C2×C22⋊Q8—58no—
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×C22⋊C4—51no—
265C22×C22⋊C4—51no—
266C22×C22⋊C4—51no—
267C22×C22⋊C4—51no—
268C22×C22⋊C4—51no—
269C22×C22⋊C4—51no—
270C22×C42—51no—
271C22×C42—51no—
272C22×C42—51no—
273C22×C42—51no—
274C22×C42—51no—
275C22×C42C2×D511yescharacteristic
276#391—58no—
277#391C2×D518yescomplemented
278#388—58no—
279#388—58no—
280#388—58no—
281#388—58no—
282#387—58no—
283#387—58no—
284#387—58no—
285#387—58no—
286#381—58no—
287C4×C4⋊C4—58no—
288C4×C4⋊C4—58no—
289C4×C22⋊C4—58no—
290C2×#95—51no—
291C2×#95—51no—
292C2×#95—51no—
293C2×#95—51no—
294C2×#95—51no—
295C2×#95—51no—
296C2×#95—51no—
297C2×#95—51no—
298C2×#95—51no—
299C2×#95—51no—
300C2×#95C2×D511yescharacteristic
301C2×#95C2×D511yescharacteristic
302C2×#95C2×D511yescharacteristic
303C2×#95C2×D511yescharacteristic
304C23×C5C23×C412yes—
305C23×C5C2×#4112yes—
306C23×C5C2×#4112yes—
307C23×C5H(5,𝔽2)12yes—
308C23×C5H(5,𝔽2)12yes—
309C23×C52−1+412yes—
310C23×C52−1+412yes—
311C23×C5C2511yescharacteristic
312C22×D5—28no—
313C22×D5—28no—
314C22×D5—28no—
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×D5C23×C414yes—
326C5×Q8—416no—
327C2×C4×C5—28no—
328C2×C4×C5—28no—
329C2×C4×C5—28no—
330C2×C4×C5—28no—
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×C5C23×C414yes—
352C2×C4×C5C23×C414yes—
353C2×C4×C5C23×C414yes—
354C2×C4×C5C2×#4114yes—
355C2×Dic5—28no—
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—44no—
377C2×Dic5—44no—
378C2×Dic5—44no—
379C2×Dic5C23×C414yes—
380C2×Dic5C23×C414yes—
381C2×Dic5C23×C414yes—
382C2×Dic5C2×#4114yes—
383C4×D5—416no—
384C25—51no—
385C22×Q8—42no—
386C22×Q8—42no—
387C22×Q8C4×D518yes—
388C22×Q8C22×D514yes—
389C23×C4—51no—
390C23×C4—51no—
391C23×C4—51no—
392C23×C4—51no—
393C23×C4—58no—
394C23×C4—54no—
395C23×C4—51no—
396C23×C4—51no—
397C23×C4—51no—
398C23×C4—202no—
399C23×C4—202no—
400C23×C4C22×D511yescharacteristic
401C23×C4C22×D511yescharacteristic
402C23×C4C22×D511yescharacteristic
403C23×C4C22×D511yescharacteristic
404C23×C4C22×D511yescharacteristic
405C23×C4C22×D511yescharacteristic
406C23×C4C22×D511yescharacteristic
407C22⋊Q8—564no—
408C2×C4⋊C4—42no—
409C2×C4⋊C4—58no—
410C2×C4⋊C4—58no—
411C2×C4⋊C4—58no—
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—202no—
421C2×C4⋊C4C22×D514yes—
422C2×C22⋊C4—58no—
423C2×C22⋊C4—58no—
424C2×C22⋊C4—54no—
425C2×C22⋊C4—54no—
426C2×C22⋊C4—54no—
427C2×C22⋊C4—54no—
428C2×C22⋊C4—54no—
429C2×C22⋊C4—54no—
430C2×C22⋊C4—104no—
431C2×C22⋊C4—104no—
432C2×C22⋊C4—202no—
433C2×C22⋊C4—202no—
434C2×C42—42no—
435C2×C42—54no—
436C2×C42—54no—
437C2×C42—54no—
438C2×C42—54no—
439C2×C42—54no—
440C2×C42—104no—
441C2×C42—104no—
442C2×C42—202no—
443C2×C42—202no—
444C2×C42—202no—
445C2×C42C22×D514yes—
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#95—54no—
455#95—54no—
456#95C22×D514yes—
457#95C22×D514yes—
458#95C22×D514yes—
459#95C22×D514yes—
460C22×C5C4×#4114yes—
461C22×C5#51814yes—
462C22×C5#51914yes—
463C22×C5#53914yes—
464C22×C5#53914yes—
465C22×C5#54214yes—
466C22×C5#54214yes—
467C22×C5C24×C411yescharacteristic
468C22×C5C22×#4111yescharacteristic
469C22×C5C22×#4111yescharacteristic
470C22×C5C2×H(5,𝔽2)11yescharacteristic
471C22×C5C2×H(5,𝔽2)11yescharacteristic
472C22×C5C2×2−1+411yescharacteristic
473C22×C5C2×2−1+411yescharacteristic
474C2×D5—24no—
475C2×D5—24no—
476C2×D5—24no—
477C2×D5—416no—
478C2×D5—42no—
479C2×D5—42no—
480C2×D5—42no—
481C2×D5—42no—
482C4×C5—24no—
483C4×C5—24no—
484C4×C5—24no—
485C4×C5—24no—
486C4×C5—42no—
487C4×C5—42no—
488C4×C5—42no—
489Dic5—24no—
490Dic5—24no—
491Dic5—24no—
492Dic5—24no—
493Dic5—42no—
494Dic5—42no—
495Dic5—42no—
496C24—54no—
497C24—52no—
498C24—102no—
499C24—102no—
500C24—102no—
501C24—102no—
502C24—102no—
503C24—102no—
504C24C23×D511yescharacteristic
505C2×Q8—416no—
506C2×Q8—44no—
507C2×Q8—44no—
508C2×Q8C2×C4×D5116yes—
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—22no—
525C22×C4—22no—
526C22×C4—54no—
527C22×C4—54no—
528C22×C4—54no—
529C22×C4—54no—
530C22×C4—52no—
531C22×C4—52no—
532C22×C4—52no—
533C22×C4—52no—
534C22×C4—516no—
535C22×C4—52no—
536C22×C4—52no—
537C22×C4—52no—
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—102no—
555C22×C4—2016no—
556C22×C4—204no—
557C22×C4—204no—
558C22×C4C2×C4×D514yes—
559C22×C4C2×C4×D514yes—
560C22×C4C2×C4×D514yes—
561C22×C4#71314yes—
562C22×C4C23×D512yes—
563C22×C4C23×D512yes—
564C22×C4C23×D512yes—
565C22×C4C23×D512yes—
566C22×C4C23×D512yes—
567C22×C4C23×D512yes—
568C22×C4C23×D512yes—
569C4⋊C4—44no—
570C4⋊C4—516no—
571C4⋊C4—516no—
572C4⋊C4—516no—
573C4⋊C4—108no—
574C4⋊C4—108no—
575C4⋊C4—204no—
576C22⋊C4—516no—
577C22⋊C4—516no—
578C22⋊C4—108no—
579C22⋊C4—108no—
580C22⋊C4—204no—
581C22⋊C4—204no—
582C42—44no—
583C42—108no—
584C42—108no—
585C42—204no—
586C42—204no—
587C42—204no—
588C2×C5#233218yescomplemented
589C2×C5C2×C4×#4111yescharacteristic
590C2×C5C2×#51811yescharacteristic
591C2×C5C2×#51911yescharacteristic
592C2×C5C2×#53911yescharacteristic
593C2×C5C2×#53911yescharacteristic
594C2×C5C2×#54211yescharacteristic
595C2×C5C2×#54211yescharacteristic
596D5—44no—
597C23—54no—
598C23—108no—
599C23—108no—
600C23—108no—
601C23—102no—
602C23—102no—
603C23—102no—
604C23—102no—
605C23—102no—
606C23—102no—
607C23—204no—
608C23—204no—
609C23—204no—
610C23—204no—
611C23C22×C4×D512yes—
612C23#414412yes—
613C23#414412yes—
614C23C2×#71312yes—
615C23#414712yes—
616C23D5×#4112yes—
617C23#415012yes—
618C23C24×D511yescharacteristic
619Q8—416no—
620C2×C4—28no—
621C2×C4—28no—
622C2×C4—28no—
623C2×C4—28no—
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—44no—
642C2×C4—44no—
643C2×C4—44no—
644C2×C4—54no—
645C2×C4—54no—
646C2×C4—54no—
647C2×C4—54no—
648C2×C4—108no—
649C2×C4—108no—
650C2×C4—108no—
651C2×C4—108no—
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—102no—
668C2×C4—102no—
669C2×C4—2016no—
670C2×C4—204no—
671C2×C4—204no—
672C2×C4—204no—
673C2×C4C22×C4×D514yes—
674C2×C4C22×C4×D514yes—
675C2×C4C22×C4×D514yes—
676C2×C4C2×#71314yes—
677C5C2×#233211yescharacteristic, complemented, Sylow
678C22—104no—
679C22—104no—
680C22—104no—
681C22—202no—
682C22—202no—
683C22—2016no—
684C22—202no—
685C22—202no—
686C22#6582014yes—
687C22#6590614yes—
688C22C4×#71314yes—
689C22#6597214yes—
690C22#6597914yes—
691C22#6600314yes—
692C22#6606714yes—
693C22C23×C4×D511yescharacteristic
694C22C2×#414411yescharacteristic
695C22C2×#414411yescharacteristic
696C22C22×#71311yescharacteristic
697C22C2×#414711yescharacteristic
698C22C2×D5×#4111yescharacteristic
699C22C2×#415011yescharacteristic
700C4—24no—
701C4—24no—
702C4—24no—
703C4—24no—
704C4—42no—
705C4—42no—
706C4—42no—
707C4—104no—
708C4—104no—
709C4—104no—
710C4—104no—
711C4—202no—
712C4—202no—
713C4—202no—
714C2—204no—
715C2#1060821818yesdirect product factor
716C2C2×#6582011yescharacteristic
717C2C2×C4×#71311yescharacteristic
718C2C2×#6590611yescharacteristic
719C2C2×#6597911yescharacteristic
720C2C2×#6597211yescharacteristic
721C2C2×#6600311yescharacteristic
722C2C2×#6606711yescharacteristic
subgroupG/H
centerC24C23×D5
commutatorC22×C5C24×C4
FrattiniC23C24×D5
FittingC2×C5×#391C2
socleC24×C5C24
prime radicalC24×D5C23
cosocleC23×C5C25
hypercenterC2×#391D5
hypocenterC5C2×#2332
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C24 ◁ C2×#391

Complements

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

NH ≅ G/Ntype
2. C2×C5×#391C2semidirect
3. C2×#65519C2semidirect
5. C2×#65267C2semidirect
7. C2×C4×#683C2semidirect
8. #10608218C2direct (N × H)
12. C2×#64944C2semidirect
13. C2×#64943C2semidirect
14. C2×#64942C2semidirect
15. C2×#64938C2semidirect
21. C2×#4092C4semidirect
40. C5×#391C22semidirect
45. #65519C22semidirect
57. #65267C22semidirect
59. C4×#683C22semidirect
64. #64944C22semidirect
65. #64943C22semidirect
66. #64942C22semidirect
67. #64938C22semidirect
96. #4092C2×C4semidirect
148. C2×#391D5semidirect
277. #391C2×D5semidirect
588. C2×C5#2332semidirect
677. C5C2×#2332semidirect
715. C2#10608218direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#40922
C2×C5×#3912
C2×#655192
C2×#652792
C2×#652672
C2×#652292
C2×C4×#6832
#106082182
C2×#649532
C2×#649592
C2×#649582
C2×#649442
C2×#649432
C2×#649422
C2×#649382
C2×#649552
C2×#23325