Finite Group Databasebeta

← C2×#10613195 #12977745

Subgroups — C2×#10613195 #12977745

Order 1280.

1930 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65976C211yesmaximal, characteristic, complemented
2C2×#65848C211yesmaximal, characteristic
3C2×C5×#484C211yesmaximal, characteristic, complemented
4C2×#65337C211yesmaximal, characteristic, complemented
5C22×#3940C211yesmaximal, characteristic, complemented
6#10613195C2116yesmaximal, direct product factor
7C2×#65180C211yesmaximal, characteristic, complemented
8C2×#65169C211yesmaximal, characteristic, complemented
9C2×#65167C211yesmaximal, characteristic, complemented
10C2×#65174C211yesmaximal, characteristic, complemented
11C2×#65096C211yesmaximal, characteristic, complemented
12C2×#65103C211yesmaximal, characteristic, complemented
13C2×#65085C211yesmaximal, characteristic, complemented
14C2×#65077C211yesmaximal, characteristic, complemented
15C2×#65014C211yesmaximal, characteristic, complemented
16C2×#65025C211yesmaximal, characteristic, complemented
17C2×C5×C22⋊Q8C2211yescharacteristic
18C22×C5×C4⋊C4C2211yescharacteristic
19C2×#4092C2211yescharacteristic
20C2×Q8×Dic5C2211yescharacteristic
21C22×#688C2211yescharacteristic
22C2×#4076—21no—
23C2×#4076C2211yescharacteristic
24C2×C4×C22⋊D5—21no—
25C2×C4×C22⋊D5C2211yescharacteristic
26C22×C4⋊Dic5C2211yescharacteristic
27C23×#168C2211yescharacteristic
28C22×C8×D5C2211yescharacteristic
29#65976—24no—
30#65976C2218yescomplemented
31#65848—24no—
32#65848C2218yes—
33C2×#4044—21no—
34C2×#4044—21no—
35C2×#4041C2211yescharacteristic
36C2×#4040—21no—
37C2×#4039C2211yescharacteristic
38C2×#4038C2211yescharacteristic
39C2×#4038C2211yescharacteristic
40C2×#4036—21no—
41C2×#4036C2211yescharacteristic
42C2×#4036C2211yescharacteristic
43C2×#4032—21no—
44C2×#4023—21no—
45C5×#484C2218yescomplemented
46C2×C5×#107C2211yescharacteristic
47C2×C5×#107C2211yescharacteristic
48C2×C5×#103C2211yescharacteristic
49C2×C5×#103C2211yescharacteristic
50C2×C5×C22⋊C8C2211yescharacteristic
51C2×#3967C2211yescharacteristic
52C2×#3953C2211yescharacteristic
53C2×#3953C2211yescharacteristic
54C2×#3952C2211yescharacteristic
55C2×#3950C2211yescharacteristic
56C2×#3950C2211yescharacteristic
57C2×#3946C2211yescharacteristic
58C2×C8×Dic5C2211yescharacteristic
59#65337C2218yescomplemented
60C2×#3941C2211yescharacteristic
61C2×#3940C2211yescharacteristic
62C2×#3940C2211yescharacteristic
63C2×#3940C2211yescharacteristic
64C2×#3940C2211yescharacteristic
65C2×#3940C2211yescharacteristic
66C2×#3940C2218yescomplemented
67#65180C2218yescomplemented
68#65174C2218yescomplemented
69#65169C2218yescomplemented
70#65167C2218yescomplemented
71#65103C2218yescomplemented
72#65096C2218yescomplemented
73#65085C2218yescomplemented
74#65077C2218yescomplemented
75#65025C2218yescomplemented
76#65014C2218yescomplemented
77C2×#3337—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C23×C4×C5—21no—
80C23×C4×C5C2311yescharacteristic
81C22×C22⋊D5—21no—
82C22×C22⋊D5D411yescharacteristic
83C23×Dic5—21no—
84C22×D20—21no—
85C22×D20C2311yescharacteristic
86C22×C4×D5—21no—
87C22×C4×D5C2311yescharacteristic
88C22×C5×C8C2311yescharacteristic
89C22×C5×C8C2311yescharacteristic
90C5×C22⋊Q8—22no—
91C5×C22⋊Q8C2314yes—
92C2×C5×C4⋊C4—21no—
93C2×C5×C4⋊C4—21no—
94C2×C5×C4⋊C4—22no—
95C2×C5×C4⋊C4C2311yescharacteristic
96C2×C5×C4⋊C4C2311yescharacteristic
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C4⋊C4C2314yes—
99C2×C5×C22⋊C4—21no—
100C2×C22⋊Dic5D411yescharacteristic
101#4092—22no—
102#4092C2314yes—
103Q8×Dic5—22no—
104Q8×Dic5C2314yes—
105C2×#688—24no—
106C2×#688C2314yes—
107#4076—22no—
108#4076—28no—
109#4076C2314yes—
110C4×C22⋊D5—28no—
111C4×C22⋊D5D414yes—
112C4×C22⋊D5C2314yes—
113C2×#685—21no—
114C2×#685—21no—
115C2×#685—21no—
116C2×#685—21no—
117C2×#685—21no—
118C2×#685—21no—
119C2×#685D411yescharacteristic
120C2×C4⋊Dic5—21no—
121C2×C4⋊Dic5—22no—
122C2×C4⋊Dic5—21no—
123C2×C4⋊Dic5—21no—
124C2×C4⋊Dic5—21no—
125C2×C4⋊Dic5C2314yes—
126C2×C4⋊Dic5C2311yescharacteristic
127C2×C4⋊Dic5C2311yescharacteristic
128C2×C4⋊Dic5C2311yescharacteristic
129C2×#683—21no—
130C2×#683—21no—
131C2×#683—21no—
132C2×#683D411yescharacteristic
133C2×C4×Dic5—21no—
134C2×C4×Dic5—21no—
135C2×C4×Dic5—21no—
136C2×C4×Dic5C2311yescharacteristic
137C22×#168—24no—
138C22×#168C2314yes—
139C22×#168C2311yescharacteristic
140C22×#168C2311yescharacteristic
141C2×C8×D5—24no—
142C2×C8×D5C2314yes—
143#4044—28no—
144#4044—28no—
145#4041—22no—
146#4041C2314yes—
147#4040—28no—
148#4039—22no—
149#4039C2314yes—
150#4038—22no—
151#4038—22no—
152#4038C2314yes—
153#4038C2314yes—
154#4036—28no—
155#4036—22no—
156#4036—22no—
157#4036C2314yes—
158#4036C2314yes—
159#4032—28no—
160#4023—28no—
161C5×#107C2314yes—
162C5×#107C2314yes—
163C5×#103C2314yes—
164C5×#103C2314yes—
165C5×C22⋊C8C2314yes—
166#3967C2314yes—
167#3953C2314yes—
168#3953C2314yes—
169#3952C2314yes—
170#3950C2314yes—
171#3950C2314yes—
172#3946C2314yes—
173C8×Dic5C2314yes—
174#3941C2314yes—
175#3940C2314yes—
176#3940C2314yes—
177#3940C2314yes—
178#3940C2314yes—
179#3940C2314yes—
180C2×#553—51no—
181C2×#552—51no—
182#3337—516no—
183C2×#499—51no—
184C2×#484D511yescharacteristic, complemented
185C2×#485—51no—
186C2×#482—51no—
187C2×#480—51no—
188C2×#479—51no—
189C2×#478—51no—
190C2×#465—51no—
191C2×#465—51no—
192C2×C4×SD16—51no—
193C2×C8×D4—51no—
194C2×#427—51no—
195C22×#106—51no—
196C24×C5C2×D411yescharacteristic
197C23×D5—21no—
198C23×D5C2×D411yescharacteristic
199C2×C5×Q8—21no—
200C2×C5×Q8—22no—
201C2×C5×Q8—22no—
202C2×C5×Q8C2412yes—
203C22×C4×C5—22no—
204C22×C4×C5—22no—
205C22×C4×C5—21no—
206C22×C4×C5—21no—
207C22×C4×C5—21no—
208C22×C4×C5—21no—
209C22×C4×C5—24no—
210C22×C4×C5—82no—
211C22×C4×C5C2×D411yescharacteristic
212C22×C4×C5C2×D412yes—
213C22×C4×C5C2412yes—
214C22×C4×C5C2411yescharacteristic
215C2×C22⋊D5—24no—
216C2×C22⋊D5—24no—
217C2×C22⋊D5—44no—
218C2×C22⋊D5C2×D414yes—
219C22×Dic5—24no—
220C22×Dic5—21no—
221C22×Dic5—21no—
222C22×Dic5—21no—
223C22×Dic5—44no—
224C22×Dic5C2×D411yescharacteristic
225C22×Dic5C2×D411yescharacteristic
226C22×Dic5C2×D411yescharacteristic
227C2×D20—22no—
228C2×D20—22no—
229C2×D20—21no—
230C2×D20—24no—
231C2×D20—82no—
232C2×D20C2412yes—
233C2×C4×D5—22no—
234C2×C4×D5—22no—
235C2×C4×D5—24no—
236C2×C4×D5—82no—
237C2×C4×D5C2×D412yes—
238C2×C4×D5C2412yes—
239C2×C5×C8—22no—
240C2×C5×C8—22no—
241C2×C5×C8C2412yes—
242C2×C5×C8C2412yes—
243C5×C4⋊C4—21no—
244C5×C4⋊C4—21no—
245C5×C4⋊C4—24no—
246C5×C4⋊C4—24no—
247C5×C4⋊C4—21no—
248C5×C4⋊C4C2412yes—
249C5×C4⋊C4C2412yes—
250C5×C4⋊C4C2412yes—
251C5×C22⋊C4—24no—
252C22⋊Dic5C2×D414yes—
253#688—28no—
254#685—24no—
255#685—24no—
256#685—24no—
257#685—24no—
258#685—24no—
259#685—24no—
260#685C2×D414yes—
261C4⋊Dic5—21no—
262C4⋊Dic5—24no—
263C4⋊Dic5—21no—
264C4⋊Dic5—21no—
265C4⋊Dic5—24no—
266C4⋊Dic5—24no—
267C4⋊Dic5—24no—
268C4⋊Dic5C2412yes—
269C4⋊Dic5C2412yes—
270C4⋊Dic5C2412yes—
271#683—24no—
272#683—24no—
273#683—24no—
274#683C2×D414yes—
275C4×Dic5—24no—
276C4×Dic5—24no—
277C4×Dic5—24no—
278C4×Dic5C2×D412yes—
279C4×Dic5C2412yes—
280C2×#168—22no—
281C2×#168—28no—
282C2×#168#4114yes—
283C2×#168C2412yes—
284C2×#168C2412yes—
285C8×D5—28no—
286C22×SD16—51no—
287C23×C8—51no—
288C23×C8—51no—
289#553—58no—
290#553—104no—
291#552—58no—
292#552—104no—
293C2×#126—101no—
294C2×#126—101no—
295C2×#125—51no—
296C2×#125—51no—
297C2×#125—101no—
298C2×#123—101no—
299C2×#123—101no—
300C2×C22⋊Q8—51no—
301C2×C22⋊Q8C2×D511yescharacteristic
302C2×#121—51no—
303C2×#121—51no—
304C2×#121—101no—
305C2×C4×Q8—51no—
306C2×C4×D4—51no—
307C2×C4×D4—51no—
308C2×C4×D4—101no—
309C2×#117—51no—
310C2×#117—51no—
311C2×#117—101no—
312C22×C4⋊C4—51no—
313C22×C4⋊C4C2×D511yescharacteristic
314#499—58no—
315#485—58no—
316#484C2×D518yescomplemented
317#482—58no—
318#480—58no—
319#479—58no—
320#478—58no—
321#465—58no—
322#465—58no—
323C4×SD16—58no—
324C8×D4—58no—
325#427—58no—
326C2×#107—51no—
327C2×#107—51no—
328C2×#107C2×D511yescharacteristic
329C2×#107C2×D511yescharacteristic
330C2×#106—51no—
331C2×#106—51no—
332C2×#106—58no—
333C2×#106—51no—
334C2×#106—51no—
335C2×#106—51no—
336C2×C4⋊C8—51no—
337C2×#103—51no—
338C2×#103C2×D511yescharacteristic
339C2×#103C2×D511yescharacteristic
340C2×#102—51no—
341C2×#102—51no—
342C2×#102—51no—
343C2×C22⋊C8—51no—
344C2×C22⋊C8C2×D511yescharacteristic
345C2×C4×C8—51no—
346C23×C5—22no—
347C23×C5—22no—
348C23×C5#13514yes—
349C23×C5C22×D412yes—
350C23×C5C22×D411yescharacteristic
351C22×D5—22no—
352C22×D5—22no—
353C22×D5—22no—
354C22×D5—22no—
355C22×D5—42no—
356C22×D5—42no—
357C22×D5—42no—
358C22×D5C22×D412yes—
359C5×Q8—22no—
360C5×Q8—22no—
361C5×Q8—42no—
362C2×C4×C5—22no—
363C2×C4×C5—24no—
364C2×C4×C5—22no—
365C2×C4×C5—22no—
366C2×C4×C5—22no—
367C2×C4×C5—22no—
368C2×C4×C5—22no—
369C2×C4×C5—22no—
370C2×C4×C5—42no—
371C2×C4×C5—42no—
372C2×C4×C5—42no—
373C2×C4×C5—42no—
374C2×C4×C5—84no—
375C2×C4×C5C22×D412yes—
376C2×C4×C5C22×D411yescharacteristic
377C2×C4×C5C2×#4112yes—
378C2×C4×C52−1+412yes—
379C2×C4×C5C2511yescharacteristic
380C22⋊D5—28no—
381C22⋊D5—48no—
382C2×Dic5—22no—
383C2×Dic5—22no—
384C2×Dic5—22no—
385C2×Dic5—22no—
386C2×Dic5—22no—
387C2×Dic5—22no—
388C2×Dic5—48no—
389C2×Dic5—42no—
390C2×Dic5—42no—
391C2×Dic5—42no—
392C2×Dic5C22×D412yes—
393C2×Dic5C22×D412yes—
394C2×Dic5C22×D412yes—
395D20—22no—
396D20—22no—
397D20—42no—
398D20—84no—
399C4×D5—24no—
400C4×D5—22no—
401C4×D5—22no—
402C4×D5—84no—
403C5×C8—22no—
404C5×C8—22no—
405#168—22no—
406#168C2×#4114yes—
407C22×Q8C22×D511yescharacteristic
408C22×D4—51no—
409C22×D4—51no—
410C22×D4—101no—
411C22×D4—101no—
412C23×C4—21no—
413C23×C4—51no—
414C23×C4—101no—
415C23×C4—101no—
416C23×C4C22×D511yescharacteristic
417C2×SD16—54no—
418C2×SD16—104no—
419C22×C8—51no—
420C22×C8—51no—
421C22×C8—54no—
422C22×C8—54no—
423C22×C8—104no—
424C22×C8—104no—
425C22×C8C22×D511yescharacteristic
426C22×C8C22×D511yescharacteristic
427#126—108no—
428#126—108no—
429#125—54no—
430#125—54no—
431#125—102no—
432#125—102no—
433#125—108no—
434#123—108no—
435#123—108no—
436C22⋊Q8—22no—
437C22⋊Q8—54no—
438C22⋊Q8—102no—
439C22⋊Q8C22×D514yes—
440#121—54no—
441#121—54no—
442#121—102no—
443#121—108no—
444#121—102no—
445C4×Q8—54no—
446C4×Q8—102no—
447C4×D4—54no—
448C4×D4—54no—
449C4×D4—54no—
450C4×D4—102no—
451C4×D4—108no—
452#117—54no—
453#117—54no—
454#117—108no—
455#117—102no—
456#117—102no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—22no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—51no—
461C2×C4⋊C4—51no—
462C2×C4⋊C4—51no—
463C2×C4⋊C4—54no—
464C2×C4⋊C4—51no—
465C2×C4⋊C4—101no—
466C2×C4⋊C4—101no—
467C2×C4⋊C4—101no—
468C2×C4⋊C4—101no—
469C2×C4⋊C4—101no—
470C2×C4⋊C4—101no—
471C2×C4⋊C4—101no—
472C2×C4⋊C4—102no—
473C2×C4⋊C4C22×D511yescharacteristic
474C2×C4⋊C4C22×D511yescharacteristic
475C2×C4⋊C4C22×D514yes—
476C2×C4⋊C4C22×D511yescharacteristic
477C2×C22⋊C4—21no—
478C2×C22⋊C4—51no—
479C2×C22⋊C4—51no—
480C2×C22⋊C4—101no—
481C2×C22⋊C4—101no—
482C2×C22⋊C4—101no—
483C2×C22⋊C4—101no—
484C2×C22⋊C4—101no—
485C2×C22⋊C4—101no—
486C2×C42—51no—
487C2×C42—101no—
488C2×C42—101no—
489C2×C42—101no—
490#107—54no—
491#107—54no—
492#107C22×D514yes—
493#107C22×D514yes—
494#106—54no—
495#106—54no—
496#106—54no—
497#106—54no—
498#106—54no—
499C4⋊C8—54no—
500#103—54no—
501#103C22×D514yes—
502#103C22×D514yes—
503#102—54no—
504#102—54no—
505#102—54no—
506C22⋊C8—54no—
507C22⋊C8C22×D514yes—
508C4×C8—54no—
509C22×C5—28no—
510C22×C5—22no—
511C22×C5—22no—
512C22×C5#54712yes—
513C22×C5C2×#13514yes—
514C22×C5C2×#13512yes—
515C22×C5#57712yes—
516C22×C5C23×D411yescharacteristic
517C2×D5—22no—
518C2×D5—22no—
519C2×D5—22no—
520C2×D5—44no—
521C2×D5—42no—
522C2×D5—42no—
523C2×D5—42no—
524C2×D5—84no—
525C4×C5—22no—
526C4×C5—42no—
527C4×C5—42no—
528C4×C5—42no—
529C4×C5—42no—
530C4×C5#54712yes—
531C4×C5C22×#4111yescharacteristic
532C4×C5C2×2−1+411yescharacteristic
533Dic5—22no—
534Dic5—22no—
535Dic5—22no—
536Dic5—42no—
537Dic5—42no—
538Dic5—42no—
539C24—51no—
540C24—101no—
541C24D4×D511yescharacteristic
542C2×Q8—21no—
543C2×Q8—22no—
544C2×Q8—22no—
545C2×Q8C23×D512yes—
546C2×D4—54no—
547C2×D4—52no—
548C2×D4—104no—
549C2×D4—104no—
550C2×D4—104no—
551C2×D4—101no—
552C2×D4—102no—
553C2×D4—102no—
554C2×D4—204no—
555C2×D4—402no—
556C22×C4—22no—
557C22×C4—22no—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—24no—
563C22×C4—51no—
564C22×C4—51no—
565C22×C4—51no—
566C22×C4—52no—
567C22×C4—52no—
568C22×C4—82no—
569C22×C4—104no—
570C22×C4—102no—
571C22×C4—102no—
572C22×C4—104no—
573C22×C4—101no—
574C22×C4—101no—
575C22×C4—101no—
576C22×C4—204no—
577C22×C4—402no—
578C22×C4D4×D512yes—
579C22×C4D4×D511yescharacteristic
580C22×C4C23×D512yes—
581C22×C4C23×D511yescharacteristic
582SD16—108no—
583C2×C8—22no—
584C2×C8—22no—
585C2×C8—54no—
586C2×C8—52no—
587C2×C8—52no—
588C2×C8—108no—
589C2×C8—108no—
590C2×C8—102no—
591C2×C8C23×D512yes—
592C2×C8C23×D512yes—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—24no—
596C4⋊C4—24no—
597C4⋊C4—21no—
598C4⋊C4—54no—
599C4⋊C4—52no—
600C4⋊C4—52no—
601C4⋊C4—52no—
602C4⋊C4—104no—
603C4⋊C4—104no—
604C4⋊C4—104no—
605C4⋊C4—104no—
606C4⋊C4—104no—
607C4⋊C4—104no—
608C4⋊C4—101no—
609C4⋊C4—101no—
610C4⋊C4—104no—
611C4⋊C4—101no—
612C4⋊C4C23×D512yes—
613C4⋊C4C23×D512yes—
614C4⋊C4C23×D512yes—
615C22⋊C4—24no—
616C22⋊C4—54no—
617C22⋊C4—54no—
618C22⋊C4—104no—
619C22⋊C4—104no—
620C22⋊C4—104no—
621C22⋊C4—104no—
622C22⋊C4—104no—
623C22⋊C4—104no—
624C42—52no—
625C42—52no—
626C42—104no—
627C42—104no—
628C42—104no—
629C2×C5—24no—
630C2×C5#333714yescomplemented
631C2×C5C2×#54711yescharacteristic
632C2×C5C22×#13511yescharacteristic
633C2×C5C2×#57711yescharacteristic
634D5—42no—
635D5—82no—
636C23—22no—
637C23—22no—
638C23—52no—
639C23—102no—
640C23—102no—
641C23—102no—
642C23—102no—
643C23—202no—
644C23—202no—
645C23—202no—
646C23#406514yes—
647C23C2×D4×D512yes—
648C23C2×D4×D511yescharacteristic
649Q8—22no—
650Q8—22no—
651Q8—42no—
652D4—108no—
653D4—102no—
654D4—102no—
655D4—208no—
656D4—202no—
657D4—404no—
658C2×C4—22no—
659C2×C4—24no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—52no—
671C2×C4—52no—
672C2×C4—52no—
673C2×C4—84no—
674C2×C4—102no—
675C2×C4—102no—
676C2×C4—102no—
677C2×C4—104no—
678C2×C4—102no—
679C2×C4—102no—
680C2×C4—102no—
681C2×C4—102no—
682C2×C4—102no—
683C2×C4—208no—
684C2×C4—202no—
685C2×C4—202no—
686C2×C4—202no—
687C2×C4—404no—
688C2×C4C2×D4×D512yes—
689C2×C4C2×D4×D511yescharacteristic
690C2×C4D5×#4112yes—
691C2×C4#415012yes—
692C2×C4C24×D511yescharacteristic
693C8—22no—
694C8—22no—
695C8—54no—
696C8—102no—
697C5C2×#333711yescharacteristic, complemented, Sylow
698C22—22no—
699C22—28no—
700C22—22no—
701C22—102no—
702C22—102no—
703C22—102no—
704C22—204no—
705C22—202no—
706C22—202no—
707C22—202no—
708C22—404no—
709C22#6598912yes—
710C22C2×#406514yes—
711C22C2×#406512yes—
712C22#6610912yes—
713C22C22×D4×D511yescharacteristic
714C4—22no—
715C4—42no—
716C4—42no—
717C4—42no—
718C4—42no—
719C4—102no—
720C4—102no—
721C4—102no—
722C4—202no—
723C4—202no—
724C4—202no—
725C4#6598912yes—
726C4C2×D5×#4111yescharacteristic
727C4C2×#415011yescharacteristic
728C2—24no—
729C2—202no—
730C2—402no—
731C2#1061319514yesdirect product factor
732C2C2×#6598911yescharacteristic
733C2C22×#406511yescharacteristic
734C2C2×#6610911yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#484C2
socleC23×C5C22×D4
prime radicalC2×#65848C2
hypercenterC2×#484D5
hypocenterC5C2×#3337
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#484

Complements

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

NH ≅ G/Ntype
1. C2×#65976C2semidirect
3. C2×C5×#484C2semidirect
4. C2×#65337C2semidirect
5. C22×#3940C2semidirect
6. #10613195C2direct (N × H)
7. C2×#65180C2semidirect
8. C2×#65169C2semidirect
9. C2×#65167C2semidirect
10. C2×#65174C2semidirect
11. C2×#65096C2semidirect
12. C2×#65103C2semidirect
13. C2×#65085C2semidirect
14. C2×#65077C2semidirect
15. C2×#65014C2semidirect
16. C2×#65025C2semidirect
30. #65976C22semidirect
45. C5×#484C22semidirect
59. #65337C22semidirect
66. C2×#3940C22semidirect
67. #65180C22semidirect
68. #65174C22semidirect
69. #65169C22semidirect
70. #65167C22semidirect
71. #65103C22semidirect
72. #65096C22semidirect
73. #65085C22semidirect
74. #65077C22semidirect
75. #65025C22semidirect
76. #65014C22semidirect
184. C2×#484D5semidirect
316. #484C2×D5semidirect
630. C2×C5#3337semidirect
697. C5C2×#3337semidirect
731. C2#10613195direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#659762
C2×#658482
C2×C5×#4842
C2×#653372
C22×#39402
#106131952
C2×#651802
C2×#651692
C2×#651672
C2×#651742
C2×#650962
C2×#651032
C2×#650852
C2×#650772
C2×#650142
C2×#650252
C2×#33375