Finite Group Databasebeta

← C2×#10612307 #12972102

Subgroups — C2×#10612307 #12972102

Order 1280.

1930 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66014C211yesmaximal, characteristic
2C2×#65912C211yesmaximal, characteristic, complemented
3C2×C5×#464C211yesmaximal, characteristic, complemented
4C2×#65477C211yesmaximal, characteristic, complemented
5C2×#65471C211yesmaximal, characteristic, complemented
6C2×#65460C211yesmaximal, characteristic
7C2×#65451C211yesmaximal, characteristic, complemented
8C2×#65343C211yesmaximal, characteristic, complemented
9C2×#65311C211yesmaximal, characteristic, complemented
10#10612307C2116yesmaximal, direct product factor
11C2×#65118C211yesmaximal, characteristic, complemented
12C2×D5×C4⋊C8C211yesmaximal, characteristic, complemented
13C2×#65102C211yesmaximal, characteristic, complemented
14C2×#65080C211yesmaximal, characteristic, complemented
15C2×#65067C211yesmaximal, characteristic
16C2×#65048C211yesmaximal, characteristic, complemented
17C22×C5×Q16C2211yescharacteristic
18C22×C5×SD16C2211yescharacteristic
19C2×C5×#124C2211yescharacteristic
20C2×C4×C5×Q8C2211yescharacteristic
21C2×#4092C2211yescharacteristic
22C2×#4092C2211yescharacteristic
23C2×Q8×Dic5C2211yescharacteristic
24C2×#4090C2211yescharacteristic
25C22×#689C2211yescharacteristic
26C2×#4084C2211yescharacteristic
27C2×D4×Dic5C2211yescharacteristic
28C22×#687C2211yescharacteristic
29C22×C8×D5C2211yescharacteristic
30C22×C8×D5C2211yescharacteristic
31#66014—24no—
32#66014C2218yes—
33#65912—24no—
34#65912C2218yescomplemented
35C2×#4043C2211yescharacteristic
36C2×#4042—21no—
37C2×#4035—21no—
38C2×#4034C2211yescharacteristic
39C2×#4029—21no—
40C2×#4027—21no—
41C2×#4025—21no—
42C2×#4023—21no—
43C2×#4018—21no—
44C2×C42×D5C2211yescharacteristic
45C2×#4016C2211yescharacteristic
46C2×C4×Dic10—21no—
47C2×C4×Dic10C2211yescharacteristic
48C5×#464C2218yescomplemented
49C2×C5×C4⋊C8C2211yescharacteristic
50C2×C5×#103C2211yescharacteristic
51C2×C5×#102C2211yescharacteristic
52C2×#3967C2211yescharacteristic
53C2×#3967C2211yescharacteristic
54C2×#3967C2211yescharacteristic
55C2×#3964C2211yescharacteristic
56#65477C2218yescomplemented
57#65471C2218yescomplemented
58#65460C2218yes—
59#65451C2218yescomplemented
60C2×#3950C2211yescharacteristic
61C2×#3949C2211yescharacteristic
62C2×#3948C2211yescharacteristic
63C2×#3948C2211yescharacteristic
64C2×#3946C2211yescharacteristic
65C2×#3946C2211yescharacteristic
66#65343C2218yescomplemented
67#65311C2218yescomplemented
68C2×#3940C2211yescharacteristic
69C2×#3939C2211yescharacteristic
70C2×C4⋊#168C2211yescharacteristic
71D5×C4⋊C8C2218yescomplemented
72#65118C2218yescomplemented
73#65102C2218yescomplemented
74#65080C2218yescomplemented
75#65067C2218yes—
76#65048C2218yescomplemented
77C2×#3248—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C22×C5×Q8C2311yescharacteristic
80C22×C5×D4C2311yescharacteristic
81C22×C22⋊D5—21no—
82C23×Dic5—21no—
83C22×C4×D5D411yescharacteristic
84C22×C4×D5D411yescharacteristic
85C22×C4×D5C2311yescharacteristic
86C22×Dic10—21no—
87C22×Dic10C2311yescharacteristic
88C2×C5×Q16—42no—
89C2×C5×Q16C2314yes—
90C2×C5×SD16—42no—
91C2×C5×SD16C2314yes—
92C22×C5×C8C2311yescharacteristic
93C22×C5×C8C2311yescharacteristic
94C5×#124—22no—
95C5×#124C2314yes—
96C4×C5×Q8—22no—
97C4×C5×Q8C2314yes—
98C2×C5×C4⋊C4—21no—
99C2×C5×C4⋊C4C2311yescharacteristic
100C2×C5×C22⋊C4—21no—
101C2×C5×C22⋊C4—21no—
102C2×C42×C5—21no—
103C2×C42×C5C2311yescharacteristic
104C2×C22⋊Dic5—21no—
105C2×C22⋊Dic5—21no—
106#4092—22no—
107#4092—22no—
108#4092C2314yes—
109#4092C2314yes—
110Q8×Dic5—22no—
111Q8×Dic5C2314yes—
112#4090—22no—
113#4090C2314yes—
114C2×#689—42no—
115C2×#689C2314yes—
116#4084—22no—
117#4084C2314yes—
118D4×Dic5—22no—
119D4×Dic5C2314yes—
120C2×#687—42no—
121C2×#687C2314yes—
122C2×#685—21no—
123C2×#685—21no—
124C2×#685—21no—
125C2×C4⋊Dic5—21no—
126C2×C4⋊Dic5—21no—
127C2×C4⋊Dic5C2311yescharacteristic
128C2×C4⋊Dic5C2311yescharacteristic
129C2×C4⋊Dic5C2311yescharacteristic
130C2×#683—21no—
131C2×#683—21no—
132C2×#683—21no—
133C2×#683—21no—
134C2×#683—21no—
135C2×#683—21no—
136C2×#683—21no—
137C2×#683—21no—
138C2×C4×Dic5—21no—
139C2×C4×Dic5—21no—
140C2×C4×Dic5D411yescharacteristic
141C2×C4×Dic5D411yescharacteristic
142C2×C4×Dic5C2311yescharacteristic
143C22×#168C2311yescharacteristic
144C22×#168C2311yescharacteristic
145C2×C8×D5—42no—
146C2×C8×D5—42no—
147C2×C8×D5C2314yes—
148C2×C8×D5C2314yes—
149#4043—22no—
150#4043C2314yes—
151#4042—28no—
152#4035—28no—
153#4034—22no—
154#4034C2314yes—
155#4029—28no—
156#4027—28no—
157#4025—28no—
158#4023—28no—
159#4018—28no—
160C42×D5D414yes—
161C42×D5C2314yes—
162#4016—22no—
163#4016C2314yes—
164C4×Dic10—22no—
165C4×Dic10—28no—
166C4×Dic10C2314yes—
167C5×C4⋊C8C2314yes—
168C5×#103C2314yes—
169C5×#102C2314yes—
170#3967C2314yes—
171#3967C2314yes—
172#3967C2314yes—
173#3964C2314yes—
174#3950C2314yes—
175#3949C2314yes—
176#3948C2314yes—
177#3948C2314yes—
178#3946C2314yes—
179#3946C2314yes—
180#3940C2314yes—
181#3939C2314yes—
182C4⋊#168C2314yes—
183C2×#533—51no—
184C2×#529—51no—
185#3248—516no—
186C2×#479—51no—
187C2×#479—51no—
188C2×#475—51no—
189C2×#474—51no—
190C2×#467—51no—
191C2×#467—51no—
192C2×#465—51no—
193C2×#465—51no—
194C2×#464—51no—
195C2×#464D511yescharacteristic, complemented
196C2×#462—51no—
197C2×#461—51no—
198C22×C4⋊C8—51no—
199C24×C5—21no—
200C23×D5C2×D411yescharacteristic
201C2×C5×Q8—21no—
202C2×C5×Q8—21no—
203C2×C5×Q8—22no—
204C2×C5×Q8—22no—
205C2×C5×Q8—22no—
206C2×C5×Q8—22no—
207C2×C5×Q8C2412yes—
208C2×C5×Q8C2412yes—
209C2×C5×D4—21no—
210C2×C5×D4—22no—
211C2×C5×D4—22no—
212C2×C5×D4C2412yes—
213C22×C4×C5—21no—
214C22×C4×C5—21no—
215C22×C4×C5—21no—
216C22×C4×C5C2×D411yescharacteristic
217C22×C4×C5C2×D411yescharacteristic
218C22×C4×C5C2411yescharacteristic
219C2×C22⋊D5—24no—
220C2×C22⋊D5—44no—
221C22×Dic5—21no—
222C22×Dic5—21no—
223C22×Dic5—21no—
224C22×Dic5—21no—
225C22×Dic5—24no—
226C22×Dic5—44no—
227C22×Dic5C2×D411yescharacteristic
228C22×Dic5C2×D411yescharacteristic
229C22×Dic5C2×D411yescharacteristic
230C2×C4×D5—24no—
231C2×C4×D5—22no—
232C2×C4×D5—22no—
233C2×C4×D5—24no—
234C2×C4×D5C2×D414yes—
235C2×C4×D5C2×D414yes—
236C2×C4×D5C2×D412yes—
237C2×C4×D5C2412yes—
238C2×Dic10—22no—
239C2×Dic10—22no—
240C2×Dic10—21no—
241C2×Dic10—24no—
242C2×Dic10—44no—
243C2×Dic10C2412yes—
244C5×Q16—44no—
245C5×SD16—44no—
246C2×C5×C8—22no—
247C2×C5×C8—22no—
248C2×C5×C8C2412yes—
249C2×C5×C8C2412yes—
250C5×C4⋊C4—24no—
251C5×C4⋊C4—21no—
252C5×C4⋊C4C2412yes—
253C5×C22⋊C4—24no—
254C5×C22⋊C4—24no—
255C42×C5—24no—
256C42×C5C2×D412yes—
257C42×C5C2412yes—
258C22⋊Dic5—24no—
259C22⋊Dic5—24no—
260#689—44no—
261#687—44no—
262#685—24no—
263#685—24no—
264#685—24no—
265C4⋊Dic5—21no—
266C4⋊Dic5—21no—
267C4⋊Dic5—21no—
268C4⋊Dic5—24no—
269C4⋊Dic5—24no—
270C4⋊Dic5C2412yes—
271C4⋊Dic5C2412yes—
272C4⋊Dic5C2412yes—
273#683—24no—
274#683—24no—
275#683—24no—
276#683—24no—
277#683—24no—
278#683—24no—
279#683—24no—
280#683—24no—
281C4×Dic5—24no—
282C4×Dic5—24no—
283C4×Dic5C2×D414yes—
284C4×Dic5C2×D412yes—
285C4×Dic5C2×D414yes—
286C4×Dic5C2412yes—
287C2×#168—22no—
288C2×#168—22no—
289C2×#168C2412yes—
290C2×#168C2412yes—
291C8×D5—44no—
292C8×D5—44no—
293C22×Q16—51no—
294C22×Q16C2×D511yescharacteristic
295C22×SD16—51no—
296C22×SD16C2×D511yescharacteristic
297C23×C8—51no—
298C23×C8—51no—
299#533—58no—
300#533—104no—
301C2×C4⋊Q8—51no—
302C2×C4⋊Q8—51no—
303#529—58no—
304#529—104no—
305C2×#126—101no—
306C2×#125—51no—
307C2×#125—101no—
308C2×#124C2×D511yescharacteristic
309C2×#123—101no—
310C2×C22⋊Q8—51no—
311C2×C22⋊Q8—51no—
312C2×C22⋊Q8—51no—
313C2×C22⋊Q8—101no—
314C2×#121—51no—
315C2×C4×Q8—51no—
316C2×C4×Q8—51no—
317C2×C4×Q8—101no—
318C2×C4×Q8C2×D511yescharacteristic
319C2×C4×D4—51no—
320C2×C4×D4—101no—
321C2×#117—101no—
322C2×#117—101no—
323C22×C42—51no—
324#479—58no—
325#479—58no—
326#475—58no—
327#474—58no—
328#467—58no—
329#467—58no—
330#465—58no—
331#465—58no—
332#464—58no—
333#464C2×D518yescomplemented
334#462—58no—
335#461—58no—
336C2×#107—51no—
337C2×#107—51no—
338C2×#106—51no—
339C2×#106—51no—
340C2×C4⋊C8—51no—
341C2×C4⋊C8—51no—
342C2×C4⋊C8—51no—
343C2×C4⋊C8—58no—
344C2×C4⋊C8C2×D511yescharacteristic
345C2×#103—51no—
346C2×#103—51no—
347C2×#103—51no—
348C2×#103—51no—
349C2×#103—51no—
350C2×#103C2×D511yescharacteristic
351C2×#102—51no—
352C2×#102C2×D511yescharacteristic
353C23×C5—22no—
354C23×C5—42no—
355C23×C5—42no—
356C23×C5—42no—
357C23×C5C22×D411yescharacteristic
358C22×D5—22no—
359C22×D5—22no—
360C22×D5#13714yes—
361C22×D5C22×D412yes—
362C5×Q8—22no—
363C5×Q8—22no—
364C5×Q8—22no—
365C5×Q8—22no—
366C5×Q8—42no—
367C5×Q8—42no—
368C5×D4—22no—
369C5×D4—22no—
370C5×D4—42no—
371C2×C4×C5—22no—
372C2×C4×C5—22no—
373C2×C4×C5—22no—
374C2×C4×C5—22no—
375C2×C4×C5—22no—
376C2×C4×C5—42no—
377C2×C4×C5—42no—
378C2×C4×C5—42no—
379C2×C4×C5C22×D412yes—
380C2×C4×C5C22×D412yes—
381C2×C4×C5C22×D411yescharacteristic
382C2×C4×C5H(5,𝔽2)12yes—
383C2×C4×C52−1+412yes—
384C2×C4×C5C2511yescharacteristic
385C22⋊D5—48no—
386C2×Dic5—22no—
387C2×Dic5—22no—
388C2×Dic5—22no—
389C2×Dic5—22no—
390C2×Dic5—22no—
391C2×Dic5—22no—
392C2×Dic5—42no—
393C2×Dic5—42no—
394C2×Dic5—42no—
395C2×Dic5—42no—
396C2×Dic5—48no—
397C2×Dic5#13514yes—
398C2×Dic5C22×D412yes—
399C2×Dic5C22×D412yes—
400C2×Dic5C22×D412yes—
401C4×D5—28no—
402C4×D5—24no—
403C4×D5—22no—
404C4×D5—22no—
405C4×D5—28no—
406Dic10—22no—
407Dic10—22no—
408Dic10—42no—
409Dic10—48no—
410C5×C8—22no—
411C5×C8—22no—
412#168—22no—
413#168—22no—
414C22×Q8—51no—
415C22×Q8—101no—
416C22×Q8C22×D511yescharacteristic
417C22×Q8C22×D511yescharacteristic
418C22×D4—101no—
419C22×D4C22×D511yescharacteristic
420C23×C4—51no—
421C23×C4—51no—
422C23×C4—51no—
423C23×C4—101no—
424C2×Q16—42no—
425C2×Q16—54no—
426C2×Q16—202no—
427C2×Q16C22×D514yes—
428C2×SD16—42no—
429C2×SD16—54no—
430C2×SD16—202no—
431C2×SD16C22×D514yes—
432C22×C8—51no—
433C22×C8—51no—
434C22×C8—54no—
435C22×C8—54no—
436C22×C8—202no—
437C22×C8—202no—
438C22×C8C22×D511yescharacteristic
439C22×C8C22×D511yescharacteristic
440C4⋊Q8—54no—
441C4⋊Q8—54no—
442C4⋊Q8—102no—
443C4⋊Q8—102no—
444#126—108no—
445#125—54no—
446#125—108no—
447#125—102no—
448#124—22no—
449#124C22×D514yes—
450#123—108no—
451C22⋊Q8—54no—
452C22⋊Q8—54no—
453C22⋊Q8—54no—
454C22⋊Q8—102no—
455C22⋊Q8—108no—
456C22⋊Q8—102no—
457C22⋊Q8—102no—
458#121—54no—
459#121—102no—
460C4×Q8—22no—
461C4×Q8—54no—
462C4×Q8—54no—
463C4×Q8—108no—
464C4×Q8—102no—
465C4×Q8—102no—
466C4×Q8C22×D514yes—
467C4×D4—54no—
468C4×D4—102no—
469C4×D4—108no—
470#117—108no—
471#117—108no—
472C2×C4⋊C4—21no—
473C2×C4⋊C4—51no—
474C2×C4⋊C4—51no—
475C2×C4⋊C4—51no—
476C2×C4⋊C4—101no—
477C2×C4⋊C4—101no—
478C2×C4⋊C4—101no—
479C2×C4⋊C4—101no—
480C2×C4⋊C4—101no—
481C2×C4⋊C4—101no—
482C2×C4⋊C4—101no—
483C2×C4⋊C4—101no—
484C2×C4⋊C4—101no—
485C2×C4⋊C4—101no—
486C2×C4⋊C4C22×D511yescharacteristic
487C2×C22⋊C4—21no—
488C2×C22⋊C4—21no—
489C2×C22⋊C4—101no—
490C2×C22⋊C4—101no—
491C2×C22⋊C4—101no—
492C2×C22⋊C4—101no—
493C2×C22⋊C4—101no—
494C2×C42—21no—
495C2×C42—51no—
496C2×C42—51no—
497C2×C42—51no—
498C2×C42—54no—
499C2×C42—54no—
500C2×C42—101no—
501C2×C42—101no—
502C2×C42C22×D511yescharacteristic
503#107—54no—
504#107—54no—
505#106—54no—
506#106—54no—
507C4⋊C8—54no—
508C4⋊C8—54no—
509C4⋊C8—54no—
510C4⋊C8C22×D514yes—
511#103—54no—
512#103—54no—
513#103—54no—
514#103—54no—
515#103—54no—
516#103C22×D514yes—
517#102—54no—
518#102C22×D514yes—
519C22×C5—42no—
520C22×C5—42no—
521C22×C5—42no—
522C22×C5—84no—
523C22×C5#53712yes—
524C22×C5C2×#13512yes—
525C22×C5C2×#13712yes—
526C22×C5C23×D411yescharacteristic
527C2×D5—22no—
528C2×D5—28no—
529C2×D5—22no—
530C2×D5C2×#13714yes—
531C4×C5—22no—
532C4×C5—22no—
533C4×C5—42no—
534C4×C5—42no—
535C4×C5—42no—
536C4×C5#53712yes—
537C4×C5C2×H(5,𝔽2)11yescharacteristic
538C4×C5C2×2−1+411yescharacteristic
539Dic5—22no—
540Dic5—22no—
541Dic5—42no—
542Dic5—42no—
543Dic5—42no—
544Dic5—42no—
545Dic5C2×#13514yes—
546C24—21no—
547C24—51no—
548C2×Q8—21no—
549C2×Q8—21no—
550C2×Q8—22no—
551C2×Q8—22no—
552C2×Q8—22no—
553C2×Q8—22no—
554C2×Q8—52no—
555C2×Q8—104no—
556C2×Q8—101no—
557C2×Q8—102no—
558C2×Q8—102no—
559C2×Q8—204no—
560C2×Q8C23×D512yes—
561C2×Q8C23×D512yes—
562C2×D4—21no—
563C2×D4—22no—
564C2×D4—22no—
565C2×D4—104no—
566C2×D4—204no—
567C2×D4C23×D512yes—
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—21no—
571C22×C4—51no—
572C22×C4—51no—
573C22×C4—51no—
574C22×C4—54no—
575C22×C4—54no—
576C22×C4—52no—
577C22×C4—52no—
578C22×C4—104no—
579C22×C4—104no—
580C22×C4—104no—
581C22×C4—102no—
582C22×C4—102no—
583C22×C4—101no—
584C22×C4—101no—
585C22×C4—101no—
586C22×C4—101no—
587C22×C4—204no—
588C22×C4D4×D511yescharacteristic
589C22×C4D4×D511yescharacteristic
590C22×C4C23×D511yescharacteristic
591Q16—44no—
592Q16—204no—
593SD16—44no—
594SD16—204no—
595C2×C8—22no—
596C2×C8—22no—
597C2×C8—52no—
598C2×C8—52no—
599C2×C8—102no—
600C2×C8—102no—
601C2×C8—204no—
602C2×C8—204no—
603C2×C8C23×D512yes—
604C2×C8C23×D512yes—
605C4⋊C4—24no—
606C4⋊C4—21no—
607C4⋊C4—52no—
608C4⋊C4—52no—
609C4⋊C4—52no—
610C4⋊C4—104no—
611C4⋊C4—104no—
612C4⋊C4—104no—
613C4⋊C4—104no—
614C4⋊C4—104no—
615C4⋊C4—104no—
616C4⋊C4—104no—
617C4⋊C4—101no—
618C4⋊C4—101no—
619C4⋊C4—101no—
620C4⋊C4—104no—
621C4⋊C4—104no—
622C4⋊C4—104no—
623C4⋊C4C23×D512yes—
624C22⋊C4—24no—
625C22⋊C4—24no—
626C22⋊C4—104no—
627C22⋊C4—104no—
628C22⋊C4—104no—
629C22⋊C4—104no—
630C22⋊C4—104no—
631C42—24no—
632C42—54no—
633C42—52no—
634C42—54no—
635C42—52no—
636C42—104no—
637C42—104no—
638C42D4×D512yes—
639C42C23×D512yes—
640C2×C5—82no—
641C2×C5#324814yescomplemented
642C2×C5C2×#53711yescharacteristic
643C2×C5C22×#13511yescharacteristic
644C2×C5C22×#13711yescharacteristic
645D5—24no—
646C23—22no—
647C23—42no—
648C23—42no—
649C23—42no—
650C23—54no—
651C23—52no—
652C23—102no—
653C23—102no—
654C23C2×D4×D511yescharacteristic
655Q8—22no—
656Q8—22no—
657Q8—22no—
658Q8—22no—
659Q8—42no—
660Q8—42no—
661Q8—102no—
662Q8—102no—
663Q8—208no—
664Q8—202no—
665D4—22no—
666D4—22no—
667D4—42no—
668D4—208no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—54no—
678C2×C4—52no—
679C2×C4—52no—
680C2×C4—52no—
681C2×C4—108no—
682C2×C4—108no—
683C2×C4—102no—
684C2×C4—102no—
685C2×C4—104no—
686C2×C4—102no—
687C2×C4—102no—
688C2×C4—102no—
689C2×C4—102no—
690C2×C4—102no—
691C2×C4—102no—
692C2×C4—208no—
693C2×C4—202no—
694C2×C4—202no—
695C2×C4—202no—
696C2×C4—202no—
697C2×C4C2×D4×D512yes—
698C2×C4C2×D4×D512yes—
699C2×C4C2×D4×D511yescharacteristic
700C2×C4#414412yes—
701C2×C4#415012yes—
702C2×C4C24×D511yescharacteristic
703C8—22no—
704C8—22no—
705C8—102no—
706C8—102no—
707C5C2×#324811yescharacteristic, complemented, Sylow
708C22—42no—
709C22—42no—
710C22—42no—
711C22—54no—
712C22—84no—
713C22—108no—
714C22—102no—
715C22—102no—
716C22#6594212yes—
717C22D5×#13512yes—
718C22D5×#13712yes—
719C22C22×D4×D511yescharacteristic
720C4—22no—
721C4—22no—
722C4—42no—
723C4—42no—
724C4—42no—
725C4—54no—
726C4—102no—
727C4—102no—
728C4—202no—
729C4—202no—
730C4—202no—
731C4—202no—
732C4#6594212yes—
733C4C2×#414411yescharacteristic
734C4C2×#415011yescharacteristic
735C2—82no—
736C2—104no—
737C2#1061230714yesdirect product factor
738C2C2×#6594211yescharacteristic
739C2C2×D5×#13511yescharacteristic
740C2C2×D5×#13711yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#464C2
socleC23×C5C22×D4
prime radicalC2×#4084C22
hypercenterC2×#464D5
hypocenterC5C2×#3248
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#464

Complements

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

NH ≅ G/Ntype
2. C2×#65912C2semidirect
3. C2×C5×#464C2semidirect
4. C2×#65477C2semidirect
5. C2×#65471C2semidirect
7. C2×#65451C2semidirect
8. C2×#65343C2semidirect
9. C2×#65311C2semidirect
10. #10612307C2direct (N × H)
11. C2×#65118C2semidirect
12. C2×D5×C4⋊C8C2semidirect
13. C2×#65102C2semidirect
14. C2×#65080C2semidirect
16. C2×#65048C2semidirect
34. #65912C22semidirect
48. C5×#464C22semidirect
56. #65477C22semidirect
57. #65471C22semidirect
59. #65451C22semidirect
66. #65343C22semidirect
67. #65311C22semidirect
71. D5×C4⋊C8C22semidirect
72. #65118C22semidirect
73. #65102C22semidirect
74. #65080C22semidirect
76. #65048C22semidirect
195. C2×#464D5semidirect
333. #464C2×D5semidirect
641. C2×C5#3248semidirect
707. C5C2×#3248semidirect
737. C2#10612307direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#660142
C2×#659122
C2×C5×#4642
C2×#654772
C2×#654712
C2×#654602
C2×#654512
C2×#653432
C2×#653112
#106123072
C2×#651182
C2×D5×C4⋊C82
C2×#651022
C2×#650802
C2×#650672
C2×#650482
C2×#32485