Finite Group Databasebeta

← C2×#10611206 #12977929

Subgroups — C2×#10611206 #12977929

Order 1280.

1834 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65876C211yesmaximal, characteristic
2C2×#65875C211yesmaximal, characteristic
3C2×C5×#435C211yesmaximal, characteristic
4C2×#65426C211yesmaximal, characteristic, complemented
5C2×#65410C211yesmaximal, characteristic, complemented
6C2×#65405C211yesmaximal, characteristic, complemented
7C2×#65395C211yesmaximal, characteristic, complemented
8#10611206C2116yesmaximal, direct product factor
9C2×#65118C211yesmaximal, characteristic, complemented
10C2×#65139C211yesmaximal, characteristic, complemented
11C2×#65011C211yesmaximal, characteristic, complemented
12C2×#65012C211yesmaximal, characteristic, complemented
13C2×#65012C211yesmaximal, characteristic, complemented
14C2×#65012C211yesmaximal, characteristic, complemented
15C2×#65005C211yesmaximal, characteristic, complemented
16C2×#64991C211yesmaximal, characteristic, complemented
17C22×C5×M16C2211yescharacteristic
18C23×C5×C8C2211yescharacteristic
19C2×C4×C5×D4C2211yescharacteristic
20C2×#4082—21no—
21C2×#4081—21no—
22C2×#4072C2211yescharacteristic
23C2×#4072C2211yescharacteristic
24C2×#4072C2211yescharacteristic
25C22×C4⋊Dic5C2211yescharacteristic
26C2×#4070C2211yescharacteristic
27C2×#4070C2211yescharacteristic
28C2×#4070C2211yescharacteristic
29C2×#4070C2211yescharacteristic
30C22×Dic20C2211yescharacteristic
31#65876—24no—
32#65876C2218yes—
33#65875—24no—
34#65875C2218yes—
35C2×#4035—21no—
36C2×#4033—21no—
37C2×#4025—21no—
38C2×#4025—21no—
39C2×#4025—21no—
40C2×#4023—21no—
41C2×#4016C2211yescharacteristic
42C2×#4015C2211yescharacteristic
43C2×C4×Dic10C2211yescharacteristic
44C2×C4×Dic10C2211yescharacteristic
45C5×#435C2218yes—
46C2×C5×C4⋊C8C2211yescharacteristic
47C2×C5×C22⋊C8C2211yescharacteristic
48C2×C5×C22⋊C8C2211yescharacteristic
49C2×C5×#97C2211yescharacteristic
50#65426C2218yescomplemented
51#65410C2218yescomplemented
52#65405C2218yescomplemented
53#65395C2218yescomplemented
54C2×#3950C2211yescharacteristic
55C2×#3950C2211yescharacteristic
56C2×#3950C2211yescharacteristic
57C2×#3950C2211yescharacteristic
58C2×#3950C2211yescharacteristic
59C2×#3949C2211yescharacteristic
60C2×#3949C2211yescharacteristic
61C2×#3949C2211yescharacteristic
62C2×#3949C2211yescharacteristic
63C2×#3948C2211yescharacteristic
64C2×#3948C2211yescharacteristic
65C2×#3948C2211yescharacteristic
66C2×#3948C2211yescharacteristic
67C2×#3948C2211yescharacteristic
68C2×#3948C2211yescharacteristic
69#65139C2218yescomplemented
70#65118C2218yescomplemented
71#65012C2218yescomplemented
72#65012C2218yescomplemented
73#65012C2218yescomplemented
74#65011C2218yescomplemented
75#65005C2218yescomplemented
76#64991C2218yescomplemented
77C2×#3349—51nomaximal, Sylow
78C22×C5×D4D411yescharacteristic
79C23×C4×C5C2311yescharacteristic
80C23×C4×C5C2311yescharacteristic
81C23×Dic5—21no—
82C22×Dic10—21no—
83C22×Dic10C2311yescharacteristic
84C22×Dic10C2311yescharacteristic
85C2×C5×M16—24no—
86C2×C5×M16C2314yes—
87C22×C5×C8—24no—
88C22×C5×C8C2311yescharacteristic
89C22×C5×C8C2311yescharacteristic
90C22×C5×C8C2311yescharacteristic
91C22×C5×C8C2314yes—
92C22×C5×C8C2311yescharacteristic
93C4×C5×D4D414yes—
94C4×C5×D4C2314yes—
95C2×C5×C4⋊C4D411yescharacteristic
96C2×C5×C22⋊C4D411yescharacteristic
97C2×C5×C22⋊C4D411yescharacteristic
98C2×C42×C5C2311yescharacteristic
99C2×C22⋊Dic5—21no—
100C2×C22⋊Dic5—21no—
101C2×C22⋊Dic5—21no—
102C2×C22⋊Dic5—21no—
103C2×C22⋊Dic5—21no—
104C2×C22⋊Dic5—21no—
105C2×C22⋊Dic5—21no—
106#4082—28no—
107#4081—28no—
108#4072—22no—
109#4072—22no—
110#4072—22no—
111#4072C2314yes—
112#4072C2314yes—
113#4072C2314yes—
114C2×C4⋊Dic5—21no—
115C2×C4⋊Dic5—21no—
116C2×C4⋊Dic5—22no—
117C2×C4⋊Dic5C2311yescharacteristic
118C2×C4⋊Dic5C2311yescharacteristic
119C2×C4⋊Dic5C2311yescharacteristic
120C2×C4⋊Dic5C2311yescharacteristic
121C2×C4⋊Dic5C2311yescharacteristic
122C2×C4⋊Dic5C2311yescharacteristic
123C2×C4⋊Dic5C2314yes—
124#4070—22no—
125#4070—22no—
126#4070—22no—
127#4070—22no—
128#4070C2314yes—
129#4070C2314yes—
130#4070C2314yes—
131#4070C2314yes—
132C2×#683—21no—
133C2×#683—21no—
134C2×#683—21no—
135C2×#683—21no—
136C2×#683—21no—
137C2×#683—21no—
138C2×#683—21no—
139C2×#683—21no—
140C2×C4×Dic5—21no—
141C2×C4×Dic5—21no—
142C2×C4×Dic5—21no—
143C2×C4×Dic5—21no—
144C2×C4×Dic5—21no—
145C2×Dic20—24no—
146C2×Dic20C2314yes—
147#4035—28no—
148#4033—28no—
149#4025—28no—
150#4025—28no—
151#4025—28no—
152#4023—28no—
153#4016—22no—
154#4016C2314yes—
155#4015—22no—
156#4015C2314yes—
157C4×Dic10—22no—
158C4×Dic10—22no—
159C4×Dic10C2314yes—
160C4×Dic10C2314yes—
161C5×C4⋊C8C2314yes—
162C5×C22⋊C8C2314yes—
163C5×C22⋊C8C2314yes—
164C5×#97C2314yes—
165#3950C2314yes—
166#3950C2314yes—
167#3950C2314yes—
168#3950C2314yes—
169#3950C2314yes—
170#3949C2314yes—
171#3949C2314yes—
172#3949C2314yes—
173#3949C2314yes—
174#3948C2314yes—
175#3948C2314yes—
176#3948C2314yes—
177#3948C2314yes—
178#3948C2314yes—
179#3948C2314yes—
180C2×#556—51no—
181C2×#552—51no—
182#3349—516no—
183C2×#501—51no—
184C2×#484—51no—
185C2×#485—51no—
186C2×#485—51no—
187C2×#485—51no—
188C2×#479—51no—
189C2×#477—51no—
190C2×#470—51no—
191C2×#467—51no—
192C2×#441—51no—
193C2×#435D511yescharacteristic
194C2×#428—51no—
195C2×#427—51no—
196C24×C5C2×D411yescharacteristic
197C24×C5C2×D411yescharacteristic
198C2×C5×D4—42no—
199C2×C5×D4C2×D414yes—
200C22×C4×C5—22no—
201C22×C4×C5—22no—
202C22×C4×C5—22no—
203C22×C4×C5—22no—
204C22×C4×C5C2×D411yescharacteristic
205C22×C4×C5C2×D411yescharacteristic
206C22×C4×C5C2×D411yescharacteristic
207C22×C4×C5C2×D411yescharacteristic
208C22×C4×C5C2×D412yes—
209C22×C4×C5C2×D412yes—
210C22×C4×C5C2412yes—
211C22×C4×C5C2412yes—
212C22×C4×C5C2411yescharacteristic
213C22×Dic5—21no—
214C22×Dic5—21no—
215C22×Dic5—21no—
216C22×Dic5—21no—
217C22×Dic5—21no—
218C22×Dic5—21no—
219C22×Dic5—21no—
220C22×Dic5—21no—
221C22×Dic5—24no—
222C22×Dic5—44no—
223C2×Dic10—22no—
224C2×Dic10—22no—
225C2×Dic10—22no—
226C2×Dic10—22no—
227C2×Dic10—24no—
228C2×Dic10—21no—
229C2×Dic10—21no—
230C2×Dic10—44no—
231C2×Dic10C2412yes—
232C2×Dic10C2412yes—
233C5×M16—28no—
234C2×C5×C8—22no—
235C2×C5×C8—22no—
236C2×C5×C8—22no—
237C2×C5×C8—28no—
238C2×C5×C8#4114yes—
239C2×C5×C8C2412yes—
240C2×C5×C8C2412yes—
241C2×C5×C8C2412yes—
242C2×C5×C8C2412yes—
243C5×C4⋊C4C2×D414yes—
244C5×C22⋊C4C2×D414yes—
245C5×C22⋊C4C2×D414yes—
246C42×C5C2×D412yes—
247C42×C5C2412yes—
248C22⋊Dic5—24no—
249C22⋊Dic5—24no—
250C22⋊Dic5—24no—
251C22⋊Dic5—24no—
252C22⋊Dic5—24no—
253C22⋊Dic5—24no—
254C22⋊Dic5—24no—
255C4⋊Dic5—21no—
256C4⋊Dic5—21no—
257C4⋊Dic5—21no—
258C4⋊Dic5—21no—
259C4⋊Dic5—24no—
260C4⋊Dic5—21no—
261C4⋊Dic5—21no—
262C4⋊Dic5—24no—
263C4⋊Dic5C2412yes—
264C4⋊Dic5C2412yes—
265C4⋊Dic5C2412yes—
266C4⋊Dic5C2412yes—
267C4⋊Dic5C2412yes—
268C4⋊Dic5C2412yes—
269#683—24no—
270#683—24no—
271#683—24no—
272#683—24no—
273#683—24no—
274#683—24no—
275#683—24no—
276#683—24no—
277C4×Dic5—24no—
278C4×Dic5—24no—
279C4×Dic5—24no—
280C4×Dic5—24no—
281C4×Dic5—24no—
282Dic20—28no—
283C22×Q16—51no—
284C22×M16C2×D511yescharacteristic
285C23×C8C2×D511yescharacteristic
286#556—58no—
287#556—104no—
288#552—58no—
289#552—104no—
290C2×C4⋊Q8—51no—
291C2×#126—101no—
292C2×#126—101no—
293C2×#126—101no—
294C2×#125—51no—
295C2×#125—101no—
296C2×#124—101no—
297C2×#123—101no—
298C2×C22⋊Q8—51no—
299C2×C22⋊Q8—51no—
300C2×C22⋊Q8—51no—
301C2×C22⋊Q8—51no—
302C2×C4×Q8—51no—
303C2×C4×Q8—51no—
304C2×C4×Q8—101no—
305C2×C4×D4C2×D511yescharacteristic
306C2×#117—51no—
307C2×#117—51no—
308C2×#117—51no—
309C2×#117—101no—
310C22×C4⋊C4—51no—
311#501—58no—
312#485—58no—
313#485—58no—
314#485—58no—
315#484—58no—
316#479—58no—
317#477—58no—
318#470—58no—
319#467—58no—
320#441—58no—
321#435C2×D518yes—
322#428—58no—
323#427—58no—
324C2×#107—51no—
325C2×#107—51no—
326C2×#107—51no—
327C2×#107—51no—
328C2×#107—51no—
329C2×#106—51no—
330C2×#106—51no—
331C2×#106—51no—
332C2×#106—51no—
333C2×C4⋊C8C2×D511yescharacteristic
334C2×#103—51no—
335C2×#103—51no—
336C2×#103—51no—
337C2×#103—51no—
338C2×#103—51no—
339C2×#103—51no—
340C2×C22⋊C8C2×D511yescharacteristic
341C2×C22⋊C8C2×D511yescharacteristic
342C2×#97C2×D511yescharacteristic
343C23×C5—22no—
344C23×C5—22no—
345C23×C5—22no—
346C23×C5—22no—
347C23×C5—22no—
348C23×C5—22no—
349C23×C5C22×D412yes—
350C23×C5C22×D412yes—
351C23×C5C22×D411yescharacteristic
352C5×D4—44no—
353C2×C4×C5—22no—
354C2×C4×C5—22no—
355C2×C4×C5—22no—
356C2×C4×C5—22no—
357C2×C4×C5—24no—
358C2×C4×C5—24no—
359C2×C4×C5—22no—
360C2×C4×C5—22no—
361C2×C4×C5—22no—
362C2×C4×C5—22no—
363C2×C4×C5C22×D412yes—
364C2×C4×C5C22×D412yes—
365C2×C4×C5C22×D412yes—
366C2×C4×C5C22×D412yes—
367C2×C4×C5C22×D411yescharacteristic
368C2×C4×C5C2×#4112yes—
369C2×C4×C52−1+412yes—
370C2×C4×C5C2511yescharacteristic
371C2×Dic5—22no—
372C2×Dic5—22no—
373C2×Dic5—22no—
374C2×Dic5—22no—
375C2×Dic5—22no—
376C2×Dic5—22no—
377C2×Dic5—22no—
378C2×Dic5—22no—
379C2×Dic5—48no—
380C2×Dic5—42no—
381C2×Dic5—42no—
382C2×Dic5—42no—
383C2×Dic5—42no—
384C2×Dic5—42no—
385C2×Dic5—42no—
386C2×Dic5—42no—
387C2×Dic5—42no—
388Dic10—22no—
389Dic10—22no—
390Dic10—22no—
391Dic10—22no—
392Dic10—48no—
393Dic10—42no—
394Dic10—42no—
395C5×C8—22no—
396C5×C8—22no—
397C5×C8—22no—
398C5×C8C2×#4114yes—
399C22×Q8—51no—
400C22×Q8—51no—
401C22×Q8—101no—
402C22×D4D2011yescharacteristic
403C23×C4—101no—
404C23×C4C22×D511yescharacteristic
405C23×C4C22×D511yescharacteristic
406C2×Q16—54no—
407C2×Q16—104no—
408C2×M16—24no—
409C2×M16C22×D514yes—
410C22×C8—24no—
411C22×C8C22×D511yescharacteristic
412C22×C8C22×D514yes—
413C22×C8C22×D511yescharacteristic
414C22×C8C22×D511yescharacteristic
415C22×C8C22×D511yescharacteristic
416C4⋊Q8—54no—
417C4⋊Q8—102no—
418#126—108no—
419#126—108no—
420#126—108no—
421#125—54no—
422#125—108no—
423#125—102no—
424#124—108no—
425#123—108no—
426C22⋊Q8—54no—
427C22⋊Q8—54no—
428C22⋊Q8—54no—
429C22⋊Q8—54no—
430C22⋊Q8—102no—
431C22⋊Q8—102no—
432C22⋊Q8—102no—
433C22⋊Q8—102no—
434C4×Q8—54no—
435C4×Q8—54no—
436C4×Q8—108no—
437C4×Q8—102no—
438C4×Q8—102no—
439C4×D4D2014yes—
440C4×D4C22×D514yes—
441#117—54no—
442#117—54no—
443#117—54no—
444#117—102no—
445#117—102no—
446#117—102no—
447#117—108no—
448C2×C4⋊C4—51no—
449C2×C4⋊C4—51no—
450C2×C4⋊C4—54no—
451C2×C4⋊C4—51no—
452C2×C4⋊C4—51no—
453C2×C4⋊C4—51no—
454C2×C4⋊C4—51no—
455C2×C4⋊C4—101no—
456C2×C4⋊C4—102no—
457C2×C4⋊C4—101no—
458C2×C4⋊C4—101no—
459C2×C4⋊C4—101no—
460C2×C4⋊C4—101no—
461C2×C4⋊C4—101no—
462C2×C4⋊C4—101no—
463C2×C4⋊C4—101no—
464C2×C4⋊C4—101no—
465C2×C4⋊C4—101no—
466C2×C4⋊C4D2011yescharacteristic
467C2×C22⋊C4—101no—
468C2×C22⋊C4—101no—
469C2×C22⋊C4—101no—
470C2×C22⋊C4—101no—
471C2×C22⋊C4—101no—
472C2×C22⋊C4—101no—
473C2×C22⋊C4—101no—
474C2×C22⋊C4D2011yescharacteristic
475C2×C22⋊C4D2011yescharacteristic
476C2×C42—101no—
477C2×C42—101no—
478C2×C42—101no—
479C2×C42—101no—
480C2×C42—101no—
481C2×C42C22×D511yescharacteristic
482#107—54no—
483#107—54no—
484#107—54no—
485#107—54no—
486#107—54no—
487#106—54no—
488#106—54no—
489#106—54no—
490#106—54no—
491C4⋊C8C22×D514yes—
492#103—54no—
493#103—54no—
494#103—54no—
495#103—54no—
496#103—54no—
497#103—54no—
498C22⋊C8C22×D514yes—
499C22⋊C8C22×D514yes—
500#97C22×D514yes—
501C22×C5—22no—
502C22×C5—22no—
503C22×C5—22no—
504C22×C5—22no—
505C22×C5—22no—
506C22×C5—22no—
507C22×C5—44no—
508C22×C5—44no—
509C22×C5#54712yes—
510C22×C5#57512yes—
511C22×C5#57812yes—
512C22×C5C23×D411yescharacteristic
513C4×C5—22no—
514C4×C5—22no—
515C4×C5—22no—
516C4×C5—22no—
517C4×C5#54712yes—
518C4×C5C22×#4111yescharacteristic
519C4×C5C2×2−1+411yescharacteristic
520Dic5—42no—
521Dic5—42no—
522Dic5—42no—
523Dic5—42no—
524Dic5—42no—
525Dic5—42no—
526Dic5—42no—
527Dic5—42no—
528C24C2×D2011yescharacteristic
529C24C2×D2011yescharacteristic
530C2×Q8—52no—
531C2×Q8—52no—
532C2×Q8—101no—
533C2×Q8—101no—
534C2×Q8—104no—
535C2×Q8—102no—
536C2×Q8—102no—
537C2×Q8—102no—
538C2×Q8—102no—
539C2×Q8—204no—
540C2×D4—42no—
541C2×D4C2×D2014yes—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—104no—
547C22×C4—101no—
548C22×C4—101no—
549C22×C4—101no—
550C22×C4—101no—
551C22×C4—101no—
552C22×C4—101no—
553C22×C4—101no—
554C22×C4—101no—
555C22×C4—204no—
556C22×C4C2×D2012yes—
557C22×C4C2×D2012yes—
558C22×C4C2×D2011yescharacteristic
559C22×C4C2×D2011yescharacteristic
560C22×C4C2×D2011yescharacteristic
561C22×C4C2×D2011yescharacteristic
562C22×C4C23×D512yes—
563C22×C4C23×D512yes—
564C22×C4C23×D511yescharacteristic
565Q16—108no—
566M16—28no—
567C2×C8—22no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8—28no—
571C2×C8#71114yes—
572C2×C8C23×D512yes—
573C2×C8C23×D512yes—
574C2×C8C23×D512yes—
575C2×C8C23×D512yes—
576C4⋊C4—52no—
577C4⋊C4—52no—
578C4⋊C4—52no—
579C4⋊C4—52no—
580C4⋊C4—52no—
581C4⋊C4—52no—
582C4⋊C4—101no—
583C4⋊C4—101no—
584C4⋊C4—104no—
585C4⋊C4—101no—
586C4⋊C4—101no—
587C4⋊C4—101no—
588C4⋊C4—101no—
589C4⋊C4—104no—
590C4⋊C4—104no—
591C4⋊C4—104no—
592C4⋊C4—104no—
593C4⋊C4—104no—
594C4⋊C4—104no—
595C4⋊C4—104no—
596C4⋊C4—104no—
597C4⋊C4—104no—
598C4⋊C4C2×D2014yes—
599C22⋊C4—104no—
600C22⋊C4—104no—
601C22⋊C4—104no—
602C22⋊C4—104no—
603C22⋊C4—104no—
604C22⋊C4—104no—
605C22⋊C4—104no—
606C22⋊C4C2×D2014yes—
607C22⋊C4C2×D2014yes—
608C42—104no—
609C42—104no—
610C42—104no—
611C42—104no—
612C42—104no—
613C42C2×D2012yes—
614C42C23×D512yes—
615C2×C5—42no—
616C2×C5—42no—
617C2×C5#334914yescomplemented
618C2×C5C2×#54711yescharacteristic
619C2×C5C2×#57511yescharacteristic
620C2×C5C2×#57811yescharacteristic
621C23—22no—
622C23—22no—
623C23—22no—
624C23—22no—
625C23—22no—
626C23—22no—
627C23C22×D2012yes—
628C23C22×D2012yes—
629C23C22×D2011yescharacteristic
630Q8—102no—
631Q8—102no—
632Q8—102no—
633Q8—102no—
634Q8—208no—
635Q8—202no—
636Q8—202no—
637D4—44no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
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—208no—
657C2×C4—202no—
658C2×C4—202no—
659C2×C4—202no—
660C2×C4—202no—
661C2×C4—202no—
662C2×C4—202no—
663C2×C4—202no—
664C2×C4—202no—
665C2×C4C22×D2012yes—
666C2×C4C22×D2012yes—
667C2×C4C22×D2012yes—
668C2×C4C22×D2012yes—
669C2×C4C22×D2011yescharacteristic
670C2×C4C2×#71112yes—
671C2×C4#415012yes—
672C2×C4C24×D511yescharacteristic
673C8—22no—
674C8—22no—
675C8—22no—
676C8C2×#71114yes—
677C5C2×#334911yescharacteristic, complemented, Sylow
678C22—22no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—22no—
683C22—22no—
684C22—44no—
685C22—44no—
686C22#6588912yes—
687C22#6608212yes—
688C22#6608712yes—
689C22C23×D2011yescharacteristic
690C4—22no—
691C4—22no—
692C4—22no—
693C4—22no—
694C4—202no—
695C4—202no—
696C4—202no—
697C4—202no—
698C4—202no—
699C4—202no—
700C4—202no—
701C4—202no—
702C4#6588912yes—
703C4C22×#71111yescharacteristic
704C4C2×#415011yescharacteristic
705C2—42no—
706C2—42no—
707C2#1061120614yesdirect product factor
708C2C2×#6588911yescharacteristic
709C2C2×#6608211yescharacteristic
710C2C2×#6608711yescharacteristic
subgroupG/H
centerC23C22×D20
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#435C2
socleC23×C5C22×D4
prime radicalC22×C5×D4D4
hypercenterC2×#435D5
hypocenterC5C2×#3349
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
4. C2×#65426C2semidirect
5. C2×#65410C2semidirect
6. C2×#65405C2semidirect
7. C2×#65395C2semidirect
8. #10611206C2direct (N × H)
9. C2×#65118C2semidirect
10. C2×#65139C2semidirect
11. C2×#65011C2semidirect
12. C2×#65012C2semidirect
13. C2×#65012C2semidirect
14. C2×#65012C2semidirect
15. C2×#65005C2semidirect
16. C2×#64991C2semidirect
50. #65426C22semidirect
51. #65410C22semidirect
52. #65405C22semidirect
53. #65395C22semidirect
69. #65139C22semidirect
70. #65118C22semidirect
71. #65012C22semidirect
72. #65012C22semidirect
73. #65012C22semidirect
74. #65011C22semidirect
75. #65005C22semidirect
76. #64991C22semidirect
617. C2×C5#3349semidirect
677. C5C2×#3349semidirect
707. C2#10611206direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#658762
C2×#658752
C2×C5×#4352
C2×#654262
C2×#654102
C2×#654052
C2×#653952
#106112062
C2×#651182
C2×#651392
C2×#650112
C2×#650122
C2×#650052
C2×#649912
C2×#33495