Finite Group Databasebeta

← C2×#10612699 #12966876

Subgroups — C2×#10612699 #12966876

Order 1280.

2094 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66063C211yesmaximal, characteristic, complemented
2C2×#65880C211yesmaximal, characteristic
3C2×C5×#474C211yesmaximal, characteristic, complemented
4C2×#65380C211yesmaximal, characteristic, complemented
5C2×#65298C211yesmaximal, characteristic, complemented
6#10612699C2116yesmaximal, direct product factor
7C2×#65166C211yesmaximal, characteristic, complemented
8C2×#65164C211yesmaximal, characteristic, complemented
9C2×#65170C211yesmaximal, characteristic, complemented
10C2×D5×#107C211yesmaximal, characteristic, complemented
11C2×#65118C211yesmaximal, characteristic, complemented
12C2×#65128C211yesmaximal, characteristic, complemented
13C2×#65060C211yesmaximal, characteristic
14C2×#65061C211yesmaximal, characteristic
15C2×#65052C211yesmaximal, characteristic, complemented
16C2×#65048C211yesmaximal, characteristic, complemented
17C22×#711C2211yescharacteristic
18C2×C5×C4⋊Q8C2211yescharacteristic
19C2×C4×C5×D4C2211yescharacteristic
20C2×#4092—21no—
21C2×#4090—21no—
22C2×D4×Dic5C2211yescharacteristic
23C2×C4×C22⋊D5—21no—
24C22×#683—21no—
25C22×#676C2211yescharacteristic
26C22×C8×D5C2211yescharacteristic
27#66063—24no—
28#66063C2218yescomplemented
29#65880—24no—
30#65880C2218yes—
31C2×#4042—21no—
32C2×#4038C2211yescharacteristic
33C2×D5×C4⋊C4C2211yescharacteristic
34C2×D5×C4⋊C4C2211yescharacteristic
35C2×#4036C2211yescharacteristic
36C2×#4035—21no—
37C2×#4034C2211yescharacteristic
38C2×#4033C2211yescharacteristic
39C2×#4027—21no—
40C2×#4023—21no—
41C2×#4018C2211yescharacteristic
42C2×#4016C2211yescharacteristic
43C2×C4×Dic10C2211yescharacteristic
44C5×#474C2218yescomplemented
45C2×C5×#107C2211yescharacteristic
46C2×C5×#107C2211yescharacteristic
47C2×C5×C4⋊C8C2211yescharacteristic
48C2×C5×#102C2211yescharacteristic
49C2×C5×#102C2211yescharacteristic
50C2×#3964C2211yescharacteristic
51C2×#3964C2211yescharacteristic
52C2×#3950C2211yescharacteristic
53C2×#3949C2211yescharacteristic
54C2×#3948C2211yescharacteristic
55C2×#3948C2211yescharacteristic
56C2×#3946C2211yescharacteristic
57C2×#3946C2211yescharacteristic
58#65380C2218yescomplemented
59#65298C2218yescomplemented
60C2×#3942C2211yescharacteristic
61C2×#3942C2211yescharacteristic
62C2×#3940C2211yescharacteristic
63C2×#3939C2211yescharacteristic
64C2×#3939C2211yescharacteristic
65C2×#3939C2211yescharacteristic
66C2×C4⋊#168C2211yescharacteristic
67#65170C2218yescomplemented
68D5×#107C2218yescomplemented
69#65166C2218yescomplemented
70#65164C2218yescomplemented
71#65128C2218yescomplemented
72#65118C2218yescomplemented
73#65061C2218yes—
74#65060C2218yes—
75#65052C2218yescomplemented
76#65048C2218yescomplemented
77C2×#3083—51nomaximal, Sylow
78C22×C5×Q8—21no—
79C22×C5×D4C2311yescharacteristic
80C23×C4×C5—21no—
81C22×C22⋊D5—21no—
82C23×Dic5—21no—
83C23×Dic5—21no—
84C2×#711—22no—
85C2×#711—24no—
86C2×#711Q818yescomplemented
87C2×#711C2314yes—
88C22×C4×D5—21no—
89C22×C4×D5—21no—
90C22×C4×D5C2311yescharacteristic
91C22×Dic10—21no—
92C22×Dic10C2311yescharacteristic
93C22×C5×C8C2311yescharacteristic
94C22×C5×C8C2311yescharacteristic
95C5×C4⋊Q8—22no—
96C5×C4⋊Q8C2314yes—
97C4×C5×D4—22no—
98C4×C5×D4C2314yes—
99C2×C5×C4⋊C4—21no—
100C2×C5×C4⋊C4C2311yescharacteristic
101C2×C5×C4⋊C4C2311yescharacteristic
102C2×C5×C4⋊C4C2311yescharacteristic
103C2×C5×C22⋊C4—21no—
104C2×C42×C5C2311yescharacteristic
105C2×C22⋊Dic5—21no—
106#4092—28no—
107#4090—28no—
108D4×Dic5—22no—
109D4×Dic5C2314yes—
110C4×C22⋊D5—28no—
111C2×#685—21no—
112C2×#685D411yescharacteristic
113C2×#685D411yescharacteristic
114C2×C4⋊Dic5—21no—
115C2×C4⋊Dic5C2311yescharacteristic
116C2×C4⋊Dic5C2311yescharacteristic
117C2×C4⋊Dic5C2311yescharacteristic
118C2×#683—21no—
119C2×#683—21no—
120C2×#683—21no—
121C2×#683—21no—
122C2×#683—21no—
123C2×#683—21no—
124C2×#683—21no—
125C2×#683—21no—
126C2×#683—28no—
127C2×#683D411yescharacteristic
128C2×#683D411yescharacteristic
129C2×C4×Dic5—21no—
130C2×C4×Dic5—21no—
131C2×C4×Dic5—21no—
132C2×C4×Dic5C2311yescharacteristic
133C22×#168C2311yescharacteristic
134C22×#168C2311yescharacteristic
135C2×#676—24no—
136C2×#676C2314yes—
137C2×C8×D5—24no—
138C2×C8×D5C2314yes—
139#4042—28no—
140#4038—22no—
141#4038C2314yes—
142D5×C4⋊C4—22no—
143D5×C4⋊C4—22no—
144D5×C4⋊C4C2314yes—
145D5×C4⋊C4C2314yes—
146#4036—22no—
147#4036C2314yes—
148#4035—28no—
149#4034—22no—
150#4034C2314yes—
151#4033—22no—
152#4033C2314yes—
153#4027—28no—
154#4023—28no—
155#4018D414yes—
156#4018C2314yes—
157#4016—22no—
158#4016C2314yes—
159C4×Dic10—22no—
160C4×Dic10C2314yes—
161C5×#107C2314yes—
162C5×#107C2314yes—
163C5×C4⋊C8C2314yes—
164C5×#102C2314yes—
165C5×#102C2314yes—
166#3964C2314yes—
167#3964C2314yes—
168#3950C2314yes—
169#3949C2314yes—
170#3948C2314yes—
171#3948C2314yes—
172#3946C2314yes—
173#3946C2314yes—
174#3942C2314yes—
175#3942C2314yes—
176#3940C2314yes—
177#3939C2314yes—
178#3939C2314yes—
179#3939C2314yes—
180C4⋊#168C2314yes—
181C2×#544—51no—
182C2×#520—51no—
183#3083—516no—
184C2×#479—51no—
185C2×#479—51no—
186C2×#477—51no—
187C2×#477—51no—
188C2×#478—51no—
189C2×#478—51no—
190C2×#474—51no—
191C2×#474D511yescharacteristic, complemented
192C2×#428—51no—
193C22×#107—51no—
194C2×#424—51no—
195C2×#417—51no—
196C2×#416—51no—
197C24×C5—21no—
198C23×D5C2×D411yescharacteristic
199C2×C5×Q8—24no—
200C2×C5×Q8—82no—
201C2×C5×D4—21no—
202C2×C5×D4—22no—
203C2×C5×D4C2×Q814yes—
204C2×C5×D4C2412yes—
205C22×C4×C5—21no—
206C22×C4×C5—21no—
207C22×C4×C5—21no—
208C22×C4×C5—24no—
209C22×C4×C5—82no—
210C22×C4×C5C2×D411yescharacteristic
211C22×C4×C5C2×D411yescharacteristic
212C22×C4×C5C2411yescharacteristic
213C2×C22⋊D5—28no—
214C2×C22⋊D5—24no—
215C22×Dic5—21no—
216C22×Dic5—28no—
217C22×Dic5—24no—
218C22×Dic5—21no—
219C22×Dic5—21no—
220C22×Dic5—21no—
221C22×Dic5—24no—
222C22×Dic5—82no—
223C22×Dic5C2×D411yescharacteristic
224C22×Dic5C2×D411yescharacteristic
225C22×Dic5C2×D411yescharacteristic
226#711—216no—
227#711—28no—
228#711C2×Q8116yescomplemented
229C2×C4×D5—24no—
230C2×C4×D5—24no—
231C2×C4×D5—82no—
232C2×C4×D5—82no—
233C2×C4×D5C2×D412yes—
234C2×C4×D5C2×Q814yes—
235C2×C4×D5#4114yes—
236C2×C4×D5C2412yes—
237C2×Dic10—21no—
238C2×Dic10—22no—
239C2×Dic10—24no—
240C2×Dic10—82no—
241C2×Dic10C2×Q814yes—
242C2×Dic10C2412yes—
243C2×C5×C8—22no—
244C2×C5×C8—22no—
245C2×C5×C8C2412yes—
246C2×C5×C8C2412yes—
247C5×C4⋊C4—24no—
248C5×C4⋊C4—21no—
249C5×C4⋊C4—21no—
250C5×C4⋊C4—21no—
251C5×C4⋊C4C2412yes—
252C5×C4⋊C4C2412yes—
253C5×C4⋊C4C2412yes—
254C5×C22⋊C4—24no—
255C42×C5C2×D412yes—
256C42×C5C2412yes—
257C22⋊Dic5—24no—
258#685—24no—
259#685C2×D414yes—
260#685C2×D414yes—
261C4⋊Dic5—21no—
262C4⋊Dic5—21no—
263C4⋊Dic5—21no—
264C4⋊Dic5—24no—
265C4⋊Dic5C2412yes—
266C4⋊Dic5C2412yes—
267C4⋊Dic5C2412yes—
268#683—24no—
269#683—24no—
270#683—24no—
271#683—24no—
272#683—24no—
273#683—24no—
274#683—24no—
275#683—24no—
276#683C2×D414yes—
277#683C2×D414yes—
278C4×Dic5—24no—
279C4×Dic5—24no—
280C4×Dic5—24no—
281C4×Dic5C2×D412yes—
282C4×Dic5C2412yes—
283C2×#168—22no—
284C2×#168—22no—
285C2×#168C2412yes—
286C2×#168C2412yes—
287#676—28no—
288C8×D5—28no—
289C22×#41—51no—
290C22×M16—51no—
291C23×C8—51no—
292#544—58no—
293#544—104no—
294C2×C4⋊Q8—51no—
295C2×C4⋊Q8—101no—
296C2×C4⋊Q8C2×D511yescharacteristic
297C2×#125—51no—
298C2×#125—51no—
299C2×#125—101no—
300C2×C22⋊Q8—101no—
301C2×C22⋊Q8—101no—
302#520—58no—
303#520—104no—
304C2×C4×Q8—51no—
305C2×C4×Q8—51no—
306C2×C4×D4—51no—
307C2×C4×D4—101no—
308C2×C4×D4—101no—
309C2×C4×D4C2×D511yescharacteristic
310C2×#117—51no—
311C2×#117—51no—
312C2×#117—101no—
313C22×C4⋊C4—51no—
314C22×C4⋊C4—51no—
315C22×C4⋊C4—101no—
316#479—58no—
317#479—58no—
318#478—58no—
319#478—58no—
320#477—58no—
321#477—58no—
322#474—58no—
323#474C2×D518yescomplemented
324#428—58no—
325C2×#107—51no—
326C2×#107—51no—
327C2×#107—51no—
328C2×#107—51no—
329C2×#107—58no—
330C2×#107C2×D511yescharacteristic
331C2×#107C2×D511yescharacteristic
332C2×#106—51no—
333C2×#106—51no—
334#424—58no—
335C2×C4⋊C8—51no—
336C2×C4⋊C8—51no—
337C2×C4⋊C8—51no—
338C2×C4⋊C8C2×D511yescharacteristic
339#417—58no—
340#416—58no—
341C2×#103—51no—
342C2×#103—51no—
343C2×#103—51no—
344C2×#103—51no—
345C2×#102—51no—
346C2×#102—51no—
347C2×#102C2×D511yescharacteristic
348C2×#102C2×D511yescharacteristic
349C23×C5—24no—
350C23×C5—22no—
351C23×C5—42no—
352C23×C5—42no—
353C23×C5C22×D411yescharacteristic
354C22×D5—22no—
355C22×D5—22no—
356C22×D5C22⋊Q814yes—
357C22×D5C22×D412yes—
358C5×Q8—84no—
359C5×D4—24no—
360C5×D4—22no—
361C5×D4C22×Q814yes—
362C2×C4×C5—22no—
363C2×C4×C5—22no—
364C2×C4×C5—22no—
365C2×C4×C5—22no—
366C2×C4×C5—22no—
367C2×C4×C5—42no—
368C2×C4×C5—42no—
369C2×C4×C5—42no—
370C2×C4×C5—84no—
371C2×C4×C5C22×D412yes—
372C2×C4×C5C22×D412yes—
373C2×C4×C5C22×D411yescharacteristic
374C2×C4×C5C22×Q812yes—
375C2×C4×C5C2×#4112yes—
376C2×C4×C5C2511yescharacteristic
377C22⋊D5—216no—
378C2×Dic5—24no—
379C2×Dic5—22no—
380C2×Dic5—22no—
381C2×Dic5—22no—
382C2×Dic5—216no—
383C2×Dic5—22no—
384C2×Dic5—22no—
385C2×Dic5—22no—
386C2×Dic5—42no—
387C2×Dic5—42no—
388C2×Dic5—42no—
389C2×Dic5—84no—
390C2×Dic5C22⋊Q814yes—
391C2×Dic5C22×D412yes—
392C2×Dic5C22×D412yes—
393C2×Dic5C22×D412yes—
394C4×D5—84no—
395C4×D5—84no—
396C4×D5C22⋊Q818yes—
397C4×D5C22×Q814yes—
398C4×D5C2×#4114yes—
399Dic10—24no—
400Dic10—22no—
401Dic10—84no—
402Dic10C22×Q814yes—
403C5×C8—22no—
404C5×C8—22no—
405#168—22no—
406#168—22no—
407C2×#41—58no—
408C2×#41—54no—
409C2×#41—102no—
410C2×#41—104no—
411C22×Q8—21no—
412C22×Q8—51no—
413C22×Q8—101no—
414C22×D4—101no—
415C22×D4C22×D511yescharacteristic
416C23×C4—21no—
417C23×C4—51no—
418C23×C4—101no—
419C23×C4—101no—
420C23×C4—101no—
421C23×C4—101no—
422C2×M16—54no—
423C2×M16—104no—
424C22×C8—51no—
425C22×C8—51no—
426C22×C8—54no—
427C22×C8—104no—
428C22×C8C22×D511yescharacteristic
429C22×C8C22×D511yescharacteristic
430C4⋊Q8—22no—
431C4⋊Q8—54no—
432C4⋊Q8—102no—
433C4⋊Q8—108no—
434C4⋊Q8C22×D514yes—
435#125—54no—
436#125—54no—
437#125—102no—
438#125—108no—
439#125—102no—
440C22⋊Q8—108no—
441C22⋊Q8—108no—
442C4×Q8—54no—
443C4×Q8—54no—
444C4×Q8—102no—
445C4×Q8—102no—
446C4×D4—22no—
447C4×D4—54no—
448C4×D4—102no—
449C4×D4—108no—
450C4×D4—108no—
451C4×D4C22×D514yes—
452#117—54no—
453#117—54no—
454#117—54no—
455#117—108no—
456#117—102no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—51no—
459C2×C4⋊C4—51no—
460C2×C4⋊C4—51no—
461C2×C4⋊C4—51no—
462C2×C4⋊C4—51no—
463C2×C4⋊C4—54no—
464C2×C4⋊C4—54no—
465C2×C4⋊C4—102no—
466C2×C4⋊C4—102no—
467C2×C4⋊C4—108no—
468C2×C4⋊C4—101no—
469C2×C4⋊C4—101no—
470C2×C4⋊C4—101no—
471C2×C4⋊C4—101no—
472C2×C4⋊C4—101no—
473C2×C4⋊C4—101no—
474C2×C4⋊C4—101no—
475C2×C4⋊C4—101no—
476C2×C4⋊C4—101no—
477C2×C4⋊C4C22×D511yescharacteristic
478C2×C4⋊C4C22×D511yescharacteristic
479C2×C4⋊C4C22×D511yescharacteristic
480C2×C22⋊C4—21no—
481C2×C22⋊C4—51no—
482C2×C22⋊C4—51no—
483C2×C22⋊C4—101no—
484C2×C22⋊C4—101no—
485C2×C42—51no—
486C2×C42—101no—
487C2×C42—101no—
488C2×C42—101no—
489C2×C42C22×D511yescharacteristic
490#107—54no—
491#107—54no—
492#107—54no—
493#107—54no—
494#107C22×D514yes—
495#107C22×D514yes—
496#106—54no—
497#106—54no—
498C4⋊C8—54no—
499C4⋊C8—54no—
500C4⋊C8—54no—
501C4⋊C8C22×D514yes—
502#103—54no—
503#103—54no—
504#103—54no—
505#103—54no—
506#102—54no—
507#102—54no—
508#102C22×D514yes—
509#102C22×D514yes—
510C22×C5—24no—
511C22×C5—48no—
512C22×C5—42no—
513C22×C5—42no—
514C22×C5C2×C22⋊Q812yes—
515C22×C5#57612yes—
516C22×C5#57812yes—
517C22×C5C23×D411yescharacteristic
518C2×D5—28no—
519C2×D5—22no—
520C2×D5—22no—
521C2×D5C2×C22⋊Q814yes—
522C4×C5—22no—
523C4×C5—22no—
524C4×C5—42no—
525C4×C5—42no—
526C4×C5—42no—
527C4×C5C2×C22⋊Q812yes—
528C4×C5C23×Q811yescharacteristic
529C4×C5C22×#4111yescharacteristic
530Dic5—24no—
531Dic5—22no—
532Dic5—22no—
533Dic5—42no—
534Dic5—42no—
535Dic5—42no—
536Dic5C2×C22⋊Q814yes—
537C24—21no—
538C24—51no—
539#41—516no—
540#41—1016no—
541#41—108no—
542C2×Q8—24no—
543C2×Q8—54no—
544C2×Q8—52no—
545C2×Q8—82no—
546C2×Q8—104no—
547C2×Q8—101no—
548C2×Q8—102no—
549C2×Q8—402no—
550C2×D4—21no—
551C2×D4—22no—
552C2×D4—104no—
553C2×D4—108no—
554C2×D4Q8×D514yes—
555C2×D4C23×D512yes—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—24no—
560C22×C4—51no—
561C22×C4—52no—
562C22×C4—54no—
563C22×C4—54no—
564C22×C4—52no—
565C22×C4—51no—
566C22×C4—51no—
567C22×C4—82no—
568C22×C4—104no—
569C22×C4—104no—
570C22×C4—104no—
571C22×C4—108no—
572C22×C4—104no—
573C22×C4—101no—
574C22×C4—101no—
575C22×C4—101no—
576C22×C4—101no—
577C22×C4—402no—
578C22×C4—402no—
579C22×C4—402no—
580C22×C4D4×D511yescharacteristic
581C22×C4D4×D511yescharacteristic
582C22×C4C23×D511yescharacteristic
583M16—108no—
584C2×C8—22no—
585C2×C8—22no—
586C2×C8—52no—
587C2×C8—52no—
588C2×C8—108no—
589C2×C8—102no—
590C2×C8—102no—
591C2×C8C23×D512yes—
592C2×C8C23×D512yes—
593C4⋊C4—24no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—54no—
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—101no—
611C4⋊C4—104no—
612C4⋊C4—104no—
613C4⋊C4—104no—
614C4⋊C4C23×D512yes—
615C4⋊C4C23×D512yes—
616C4⋊C4C23×D512yes—
617C22⋊C4—24no—
618C22⋊C4—54no—
619C22⋊C4—54no—
620C22⋊C4—104no—
621C22⋊C4—104no—
622C42—52no—
623C42—52no—
624C42—104no—
625C42—104no—
626C42—104no—
627C42D4×D512yes—
628C42C23×D512yes—
629C2×C5—44no—
630C2×C5#308314yescomplemented
631C2×C5C22×C22⋊Q811yescharacteristic
632C2×C5C2×#57611yescharacteristic
633C2×C5C2×#57811yescharacteristic
634D5—24no—
635C23—24no—
636C23—22no—
637C23—42no—
638C23—42no—
639C23—54no—
640C23—52no—
641C23—102no—
642C23—102no—
643C23C2×D4×D511yescharacteristic
644Q8—54no—
645Q8—84no—
646Q8—104no—
647Q8—102no—
648Q8—404no—
649D4—24no—
650D4—22no—
651D4—1016no—
652D4C2×Q8×D514yes—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—54no—
662C2×C4—52no—
663C2×C4—58no—
664C2×C4—54no—
665C2×C4—54no—
666C2×C4—52no—
667C2×C4—52no—
668C2×C4—84no—
669C2×C4—1016no—
670C2×C4—102no—
671C2×C4—102no—
672C2×C4—104no—
673C2×C4—102no—
674C2×C4—102no—
675C2×C4—102no—
676C2×C4—102no—
677C2×C4—202no—
678C2×C4—202no—
679C2×C4—202no—
680C2×C4—404no—
681C2×C4—404no—
682C2×C4—404no—
683C2×C4C2×D4×D512yes—
684C2×C4C2×D4×D512yes—
685C2×C4C2×D4×D511yescharacteristic
686C2×C4C2×Q8×D512yes—
687C2×C4D5×#4112yes—
688C2×C4C24×D511yescharacteristic
689C8—22no—
690C8—22no—
691C8—102no—
692C8—102no—
693C5C2×#308311yescharacteristic, complemented, Sylow
694C22—24no—
695C22—42no—
696C22—42no—
697C22—48no—
698C22—54no—
699C22—102no—
700C22—102no—
701C22—108no—
702C22D5×C22⋊Q812yes—
703C22#6609112yes—
704C22#6611312yes—
705C22C22×D4×D511yescharacteristic
706C4—22no—
707C4—22no—
708C4—42no—
709C4—42no—
710C4—42no—
711C4—54no—
712C4—104no—
713C4—102no—
714C4—102no—
715C4—202no—
716C4—202no—
717C4—202no—
718C4D5×C22⋊Q812yes—
719C4C22×Q8×D511yescharacteristic
720C4C2×D5×#4111yescharacteristic
721C2—44no—
722C2—104no—
723C2#1061269914yesdirect product factor
724C2C2×D5×C22⋊Q811yescharacteristic
725C2C2×#6609111yescharacteristic
726C2C2×#6611311yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#474C2
socleC23×C5C22×D4
prime radicalC22×#711C22
hypercenterC2×#474D5
hypocenterC5C2×#3083
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#474

Complements

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

NH ≅ G/Ntype
1. C2×#66063C2semidirect
3. C2×C5×#474C2semidirect
4. C2×#65380C2semidirect
5. C2×#65298C2semidirect
6. #10612699C2direct (N × H)
7. C2×#65166C2semidirect
8. C2×#65164C2semidirect
9. C2×#65170C2semidirect
10. C2×D5×#107C2semidirect
11. C2×#65118C2semidirect
12. C2×#65128C2semidirect
15. C2×#65052C2semidirect
16. C2×#65048C2semidirect
28. #66063C22semidirect
44. C5×#474C22semidirect
58. #65380C22semidirect
59. #65298C22semidirect
67. #65170C22semidirect
68. D5×#107C22semidirect
69. #65166C22semidirect
70. #65164C22semidirect
71. #65128C22semidirect
72. #65118C22semidirect
75. #65052C22semidirect
76. #65048C22semidirect
86. C2×#711Q8semidirect
191. C2×#474D5semidirect
228. #711C2×Q8semidirect
323. #474C2×D5semidirect
630. C2×C5#3083semidirect
693. C5C2×#3083semidirect
723. C2#10612699direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#660632
C2×#658802
C2×C5×#4742
C2×#653802
C2×#652982
#106126992
C2×#651662
C2×#651642
C2×#651702
C2×D5×#1072
C2×#651182
C2×#651282
C2×#650602
C2×#650612
C2×#650522
C2×#650482
C2×#30835