Finite Group Databasebeta

← C2×#10612963 #12966870

Subgroups — C2×#10612963 #12966870

Order 1280.

2018 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66023C211yesmaximal, characteristic
2C2×#65906C211yesmaximal, characteristic
3C2×C5×#479C211yesmaximal, characteristic, complemented
4C2×#65352C211yesmaximal, characteristic, complemented
5C2×#65309C211yesmaximal, characteristic, complemented
6#10612963C2116yesmaximal, direct product factor
7C2×#65166C211yesmaximal, characteristic, complemented
8C2×#65169C211yesmaximal, characteristic
9C2×#65143C211yesmaximal, characteristic, complemented
10C2×#65150C211yesmaximal, characteristic
11C2×#65139C211yesmaximal, characteristic, complemented
12C2×#65128C211yesmaximal, characteristic
13C2×#65091C211yesmaximal, characteristic
14C2×D5×#103C211yesmaximal, characteristic
15C2×#65085C211yesmaximal, characteristic, complemented
16C2×#65083C211yesmaximal, characteristic, complemented
17C22×Q8×D5C2211yescharacteristic
18C2×C5×#125C2211yescharacteristic
19C2×C4×C5×Q8C2211yescharacteristic
20C2×Q8×Dic5C2211yescharacteristic
21C22×#676C2211yescharacteristic
22C22×C8×D5C2211yescharacteristic
23#66023—24no—
24#66023C2218yes—
25#65906—24no—
26#65906C2218yes—
27C2×#4043—21no—
28C2×#4042—21no—
29C2×#4038—21no—
30C2×#4038C2211yescharacteristic
31C2×#4038C2211yescharacteristic
32C2×D5×C4⋊C4C2211yescharacteristic
33C2×#4036C2211yescharacteristic
34C2×#4035—21no—
35C2×#4034—21no—
36C2×#4034C2211yescharacteristic
37C2×#4033—21no—
38C2×#4033C2211yescharacteristic
39C2×#4018—21no—
40C2×#4018C2211yescharacteristic
41C2×#4015C2211yescharacteristic
42C2×C4×Dic10—21no—
43C2×C4×Dic10C2211yescharacteristic
44C5×#479C2218yescomplemented
45C2×C5×#107C2211yescharacteristic
46C2×C5×#106C2211yescharacteristic
47C2×C5×C4⋊C8C2211yescharacteristic
48C2×C5×#103C2211yescharacteristic
49C2×C5×#103C2211yescharacteristic
50C2×#3967C2211yescharacteristic
51C2×#3967C2211yescharacteristic
52C2×#3950C2211yescharacteristic
53C2×#3950C2211yescharacteristic
54C2×#3948C2211yescharacteristic
55C2×#3948C2211yescharacteristic
56C2×#3946C2211yescharacteristic
57C2×#3946C2211yescharacteristic
58#65352C2218yescomplemented
59#65309C2218yescomplemented
60C2×#3942C2211yescharacteristic
61C2×#3942C2211yescharacteristic
62C2×#3940C2211yescharacteristic
63C2×#3940C2211yescharacteristic
64C2×#3940C2211yescharacteristic
65C2×#3939C2211yescharacteristic
66C2×C4⋊#168C2211yescharacteristic
67#65169C2218yes—
68#65166C2218yescomplemented
69#65150C2218yes—
70#65143C2218yescomplemented
71#65139C2218yescomplemented
72#65128C2218yes—
73#65091C2218yes—
74D5×#103C2218yes—
75#65085C2218yescomplemented
76#65083C2218yescomplemented
77C2×#3082—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C2×Q8×D5—22no—
80C2×Q8×D5—24no—
81C2×Q8×D5Q818yescomplemented
82C2×Q8×D5C2314yes—
83C22×C4×D5—21no—
84C22×C4×D5—21no—
85C22×C4×D5C2311yescharacteristic
86C22×Dic10—21no—
87C22×Dic10—21no—
88C22×Dic10—21no—
89C22×Dic10C2311yescharacteristic
90C22×C5×C8C2311yescharacteristic
91C22×C5×C8C2311yescharacteristic
92C5×#125—22no—
93C5×#125C2314yes—
94C4×C5×Q8—22no—
95C4×C5×Q8C2314yes—
96C2×C5×C4⋊C4—21no—
97C2×C5×C4⋊C4—21no—
98C2×C5×C4⋊C4—21no—
99C2×C5×C4⋊C4C2311yescharacteristic
100C2×C5×C4⋊C4C2311yescharacteristic
101C2×C5×C4⋊C4C2311yescharacteristic
102C2×C42×C5—21no—
103C2×C42×C5C2311yescharacteristic
104Q8×Dic5—22no—
105Q8×Dic5C2314yes—
106C2×#685—21no—
107C2×#685—21no—
108C2×#685D411yescharacteristic
109C2×#685D411yescharacteristic
110C2×C4⋊Dic5—21no—
111C2×C4⋊Dic5—21no—
112C2×C4⋊Dic5—21no—
113C2×C4⋊Dic5C2311yescharacteristic
114C2×C4⋊Dic5C2311yescharacteristic
115C2×C4⋊Dic5C2311yescharacteristic
116C2×#683—21no—
117C2×#683—21no—
118C2×#683—21no—
119C2×#683—21no—
120C2×#683—21no—
121C2×#683D411yescharacteristic
122C2×#683D411yescharacteristic
123C2×C4×Dic5—21no—
124C2×C4×Dic5—21no—
125C2×C4×Dic5—21no—
126C2×C4×Dic5—21no—
127C2×C4×Dic5—21no—
128C2×C4×Dic5C2311yescharacteristic
129C22×#168C2311yescharacteristic
130C22×#168C2311yescharacteristic
131C2×#676—24no—
132C2×#676C2314yes—
133C2×C8×D5—24no—
134C2×C8×D5C2314yes—
135#4043—28no—
136#4042—28no—
137#4038—22no—
138#4038—22no—
139#4038—28no—
140#4038C2314yes—
141#4038C2314yes—
142D5×C4⋊C4—22no—
143D5×C4⋊C4C2314yes—
144#4036—22no—
145#4036C2314yes—
146#4035—28no—
147#4034—28no—
148#4034—22no—
149#4034C2314yes—
150#4033—28no—
151#4033—22no—
152#4033C2314yes—
153#4018—28no—
154#4018D414yes—
155#4018C2314yes—
156#4015—22no—
157#4015C2314yes—
158C4×Dic10—22no—
159C4×Dic10—28no—
160C4×Dic10C2314yes—
161C5×#107C2314yes—
162C5×#106C2314yes—
163C5×C4⋊C8C2314yes—
164C5×#103C2314yes—
165C5×#103C2314yes—
166#3967C2314yes—
167#3967C2314yes—
168#3950C2314yes—
169#3950C2314yes—
170#3948C2314yes—
171#3948C2314yes—
172#3946C2314yes—
173#3946C2314yes—
174#3942C2314yes—
175#3942C2314yes—
176#3940C2314yes—
177#3940C2314yes—
178#3940C2314yes—
179#3939C2314yes—
180C4⋊#168C2314yes—
181C2×#544—51no—
182C2×#519—51no—
183#3082—516no—
184C2×#479—51no—
185C2×#479—51no—
186C2×#479—51no—
187C2×#479D511yescharacteristic, complemented
188C2×#477—51no—
189C2×#477—51no—
190C2×#475—51no—
191C2×#475—51no—
192C2×#428—51no—
193C2×#427—51no—
194C2×#424—51no—
195C2×#419—51no—
196C22×#103—51no—
197C23×D5C2×D411yescharacteristic
198C2×C5×Q8—21no—
199C2×C5×Q8—22no—
200C2×C5×Q8C2×Q814yes—
201C2×C5×Q8C2412yes—
202C22×C4×C5—21no—
203C22×C4×C5—21no—
204C22×C4×C5—21no—
205C22×C4×C5—21no—
206C22×C4×C5C2×D411yescharacteristic
207C22×C4×C5C2×D411yescharacteristic
208C22×C4×C5C2411yescharacteristic
209C22×Dic5—21no—
210C22×Dic5—21no—
211C22×Dic5—21no—
212C22×Dic5—21no—
213C22×Dic5C2×D411yescharacteristic
214C22×Dic5C2×D411yescharacteristic
215C22×Dic5C2×D411yescharacteristic
216Q8×D5—216no—
217Q8×D5—28no—
218Q8×D5C2×Q8116yescomplemented
219C2×C4×D5—28no—
220C2×C4×D5—24no—
221C2×C4×D5—24no—
222C2×C4×D5—82no—
223C2×C4×D5C2×D412yes—
224C2×C4×D5C2×Q814yes—
225C2×C4×D5#4114yes—
226C2×C4×D5C2412yes—
227C2×Dic10—21no—
228C2×Dic10—22no—
229C2×Dic10—28no—
230C2×Dic10—24no—
231C2×Dic10—24no—
232C2×Dic10—24no—
233C2×Dic10—82no—
234C2×Dic10—82no—
235C2×Dic10C2×Q814yes—
236C2×Dic10C2412yes—
237C2×C5×C8—22no—
238C2×C5×C8—22no—
239C2×C5×C8C2412yes—
240C2×C5×C8C2412yes—
241C5×C4⋊C4—24no—
242C5×C4⋊C4—24no—
243C5×C4⋊C4—24no—
244C5×C4⋊C4—21no—
245C5×C4⋊C4—21no—
246C5×C4⋊C4—21no—
247C5×C4⋊C4C2412yes—
248C5×C4⋊C4C2412yes—
249C5×C4⋊C4C2412yes—
250C42×C5—24no—
251C42×C5C2×D412yes—
252C42×C5C2412yes—
253#685—24no—
254#685—24no—
255#685C2×D414yes—
256#685C2×D414yes—
257C4⋊Dic5—21no—
258C4⋊Dic5—21no—
259C4⋊Dic5—21no—
260C4⋊Dic5—24no—
261C4⋊Dic5—24no—
262C4⋊Dic5—24no—
263C4⋊Dic5C2412yes—
264C4⋊Dic5C2412yes—
265C4⋊Dic5C2412yes—
266#683—24no—
267#683—24no—
268#683—24no—
269#683—24no—
270#683—24no—
271#683C2×D414yes—
272#683C2×D414yes—
273C4×Dic5—24no—
274C4×Dic5—24no—
275C4×Dic5—24no—
276C4×Dic5—24no—
277C4×Dic5—24no—
278C4×Dic5C2×D412yes—
279C4×Dic5C2412yes—
280C2×#168—22no—
281C2×#168—22no—
282C2×#168C2412yes—
283C2×#168C2412yes—
284#676—28no—
285C8×D5—28no—
286C23×Q8—51no—
287C22×M16—51no—
288C23×C8—51no—
289#544—58no—
290#544—104no—
291C2×C4⋊Q8—51no—
292C2×C4⋊Q8—51no—
293C2×C4⋊Q8—101no—
294C2×#125—51no—
295C2×#125—101no—
296C2×#125C2×D511yescharacteristic
297C2×C22⋊Q8—101no—
298C2×C22⋊Q8—101no—
299#519—58no—
300#519—104no—
301C2×C4×Q8—51no—
302C2×C4×Q8—51no—
303C2×C4×Q8—51no—
304C2×C4×Q8—101no—
305C2×C4×Q8—101no—
306C2×C4×Q8C2×D511yescharacteristic
307C2×#117—51no—
308C2×#117—51no—
309C2×#117—51no—
310C2×#117—101no—
311C2×#117—101no—
312C22×C4⋊C4—51no—
313#479—58no—
314#479—58no—
315#479—58no—
316#479C2×D518yescomplemented
317#477—58no—
318#477—58no—
319#475—58no—
320#475—58no—
321#428—58no—
322#427—58no—
323C2×#107—51no—
324C2×#107—51no—
325C2×#107—51no—
326C2×#107C2×D511yescharacteristic
327C2×#106—51no—
328C2×#106—51no—
329C2×#106—51no—
330C2×#106C2×D511yescharacteristic
331#424—58no—
332C2×C4⋊C8—51no—
333C2×C4⋊C8—51no—
334C2×C4⋊C8—51no—
335C2×C4⋊C8C2×D511yescharacteristic
336#419—58no—
337C2×#103—51no—
338C2×#103—51no—
339C2×#103—51no—
340C2×#103—51no—
341C2×#103—51no—
342C2×#103—51no—
343C2×#103—58no—
344C2×#103C2×D511yescharacteristic
345C2×#103C2×D511yescharacteristic
346C23×C5C22×D411yescharacteristic
347C22×D5—22no—
348C22×D5—22no—
349C22×D5C22⋊Q814yes—
350C22×D5C22×D412yes—
351C5×Q8—24no—
352C5×Q8—22no—
353C5×Q8C22×Q814yes—
354C2×C4×C5—24no—
355C2×C4×C5—22no—
356C2×C4×C5—22no—
357C2×C4×C5—22no—
358C2×C4×C5—22no—
359C2×C4×C5—22no—
360C2×C4×C5—22no—
361C2×C4×C5—42no—
362C2×C4×C5—42no—
363C2×C4×C5—42no—
364C2×C4×C5C22×D412yes—
365C2×C4×C5C22×D412yes—
366C2×C4×C5C22×D411yescharacteristic
367C2×C4×C5C22×Q812yes—
368C2×C4×C5C2×#4112yes—
369C2×C4×C5C2511yescharacteristic
370C2×Dic5—24no—
371C2×Dic5—22no—
372C2×Dic5—22no—
373C2×Dic5—22no—
374C2×Dic5—22no—
375C2×Dic5—22no—
376C2×Dic5—22no—
377C2×Dic5—42no—
378C2×Dic5—42no—
379C2×Dic5—42no—
380C2×Dic5C22⋊Q814yes—
381C2×Dic5C22×D412yes—
382C2×Dic5C22×D412yes—
383C2×Dic5C22×D412yes—
384C4×D5—216no—
385C4×D5—84no—
386C4×D5C22⋊Q818yes—
387C4×D5C22×Q814yes—
388C4×D5C2×#4114yes—
389Dic10—24no—
390Dic10—22no—
391Dic10—216no—
392Dic10—84no—
393Dic10—84no—
394Dic10C22×Q814yes—
395C5×C8—22no—
396C5×C8—22no—
397#168—22no—
398#168—22no—
399C22×Q8—58no—
400C22×Q8—54no—
401C22×Q8—51no—
402C22×Q8—101no—
403C22×Q8—101no—
404C22×Q8—102no—
405C22×Q8—104no—
406C22×Q8—101no—
407C22×Q8C22×D511yescharacteristic
408C23×C4—51no—
409C23×C4—101no—
410C23×C4—101no—
411C2×M16—54no—
412C2×M16—104no—
413C22×C8—51no—
414C22×C8—51no—
415C22×C8—54no—
416C22×C8—104no—
417C22×C8C22×D511yescharacteristic
418C22×C8C22×D511yescharacteristic
419C4⋊Q8—54no—
420C4⋊Q8—54no—
421C4⋊Q8—102no—
422C4⋊Q8—108no—
423C4⋊Q8—102no—
424#125—22no—
425#125—54no—
426#125—102no—
427#125—108no—
428#125C22×D514yes—
429C22⋊Q8—108no—
430C22⋊Q8—108no—
431C4×Q8—22no—
432C4×Q8—54no—
433C4×Q8—54no—
434C4×Q8—54no—
435C4×Q8—108no—
436C4×Q8—102no—
437C4×Q8—102no—
438C4×Q8—108no—
439C4×Q8—102no—
440C4×Q8C22×D514yes—
441#117—54no—
442#117—54no—
443#117—54no—
444#117—54no—
445#117—108no—
446#117—108no—
447#117—102no—
448#117—102no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—51no—
453C2×C4⋊C4—51no—
454C2×C4⋊C4—51no—
455C2×C4⋊C4—51no—
456C2×C4⋊C4—51no—
457C2×C4⋊C4—54no—
458C2×C4⋊C4—102no—
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⋊C4—101no—
467C2×C4⋊C4C22×D511yescharacteristic
468C2×C4⋊C4C22×D511yescharacteristic
469C2×C4⋊C4C22×D511yescharacteristic
470C2×C22⋊C4—51no—
471C2×C22⋊C4—51no—
472C2×C22⋊C4—101no—
473C2×C22⋊C4—101no—
474C2×C42—21no—
475C2×C42—51no—
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#107C22×D514yes—
486#106—54no—
487#106—54no—
488#106—54no—
489#106C22×D514yes—
490C4⋊C8—54no—
491C4⋊C8—54no—
492C4⋊C8—54no—
493C4⋊C8C22×D514yes—
494#103—54no—
495#103—54no—
496#103—54no—
497#103—54no—
498#103—54no—
499#103—54no—
500#103C22×D514yes—
501#103C22×D514yes—
502C22×C5C2×C22⋊Q812yes—
503C22×C5#57712yes—
504C22×C5#57812yes—
505C22×C5C23×D411yescharacteristic
506C2×D5—28no—
507C2×D5—22no—
508C2×D5—22no—
509C2×D5C2×C22⋊Q814yes—
510C4×C5—24no—
511C4×C5—22no—
512C4×C5—22no—
513C4×C5—42no—
514C4×C5—42no—
515C4×C5—42no—
516C4×C5C2×C22⋊Q812yes—
517C4×C5C23×Q811yescharacteristic
518C4×C5C22×#4111yescharacteristic
519Dic5—24no—
520Dic5—22no—
521Dic5—22no—
522Dic5—42no—
523Dic5—42no—
524Dic5—42no—
525Dic5C2×C22⋊Q814yes—
526C24—51no—
527C2×Q8—21no—
528C2×Q8—22no—
529C2×Q8—516no—
530C2×Q8—54no—
531C2×Q8—52no—
532C2×Q8—104no—
533C2×Q8—108no—
534C2×Q8—104no—
535C2×Q8—1016no—
536C2×Q8—108no—
537C2×Q8—101no—
538C2×Q8—104no—
539C2×Q8—102no—
540C2×Q8—402no—
541C2×Q8—402no—
542C2×Q8Q8×D514yes—
543C2×Q8C23×D512yes—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—51no—
549C22×C4—52no—
550C22×C4—54no—
551C22×C4—54no—
552C22×C4—52no—
553C22×C4—51no—
554C22×C4—51no—
555C22×C4—104no—
556C22×C4—108no—
557C22×C4—104no—
558C22×C4—101no—
559C22×C4—101no—
560C22×C4—101no—
561C22×C4—101no—
562C22×C4—402no—
563C22×C4D4×D511yescharacteristic
564C22×C4D4×D511yescharacteristic
565C22×C4C23×D511yescharacteristic
566M16—108no—
567C2×C8—22no—
568C2×C8—22no—
569C2×C8—52no—
570C2×C8—52no—
571C2×C8—108no—
572C2×C8—102no—
573C2×C8—102no—
574C2×C8C23×D512yes—
575C2×C8C23×D512yes—
576C4⋊C4—24no—
577C4⋊C4—24no—
578C4⋊C4—24no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—54no—
583C4⋊C4—54no—
584C4⋊C4—52no—
585C4⋊C4—52no—
586C4⋊C4—52no—
587C4⋊C4—104no—
588C4⋊C4—104no—
589C4⋊C4—104no—
590C4⋊C4—104no—
591C4⋊C4—104no—
592C4⋊C4—104no—
593C4⋊C4—101no—
594C4⋊C4—101no—
595C4⋊C4—101no—
596C4⋊C4—104no—
597C4⋊C4—104no—
598C4⋊C4C23×D512yes—
599C4⋊C4C23×D512yes—
600C4⋊C4C23×D512yes—
601C22⋊C4—54no—
602C22⋊C4—54no—
603C22⋊C4—104no—
604C22⋊C4—104no—
605C42—24no—
606C42—52no—
607C42—52no—
608C42—104no—
609C42—104no—
610C42—104no—
611C42—104no—
612C42—104no—
613C42D4×D512yes—
614C42C23×D512yes—
615C2×C5#308214yescomplemented
616C2×C5C22×C22⋊Q811yescharacteristic
617C2×C5C2×#57711yescharacteristic
618C2×C5C2×#57811yescharacteristic
619D5—24no—
620C23—54no—
621C23—52no—
622C23—102no—
623C23—102no—
624C23C2×D4×D511yescharacteristic
625Q8—24no—
626Q8—22no—
627Q8—54no—
628Q8—1016no—
629Q8—104no—
630Q8—102no—
631Q8—404no—
632Q8—404no—
633Q8C2×Q8×D514yes—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—24no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—54no—
645C2×C4—52no—
646C2×C4—58no—
647C2×C4—54no—
648C2×C4—54no—
649C2×C4—52no—
650C2×C4—52no—
651C2×C4—1016no—
652C2×C4—102no—
653C2×C4—102no—
654C2×C4—104no—
655C2×C4—102no—
656C2×C4—102no—
657C2×C4—102no—
658C2×C4—102no—
659C2×C4—202no—
660C2×C4—202no—
661C2×C4—202no—
662C2×C4—404no—
663C2×C4C2×D4×D512yes—
664C2×C4C2×D4×D512yes—
665C2×C4C2×D4×D511yescharacteristic
666C2×C4C2×Q8×D512yes—
667C2×C4D5×#4112yes—
668C2×C4C24×D511yescharacteristic
669C8—22no—
670C8—22no—
671C8—102no—
672C8—102no—
673C5C2×#308211yescharacteristic, complemented, Sylow
674C22—54no—
675C22—102no—
676C22—102no—
677C22—108no—
678C22D5×C22⋊Q812yes—
679C22#6610512yes—
680C22#6611212yes—
681C22C22×D4×D511yescharacteristic
682C4—24no—
683C4—22no—
684C4—22no—
685C4—42no—
686C4—42no—
687C4—42no—
688C4—54no—
689C4—104no—
690C4—102no—
691C4—102no—
692C4—202no—
693C4—202no—
694C4—202no—
695C4D5×C22⋊Q812yes—
696C4C22×Q8×D511yescharacteristic
697C4C2×D5×#4111yescharacteristic
698C2—104no—
699C2#1061296314yesdirect product factor
700C2C2×D5×C22⋊Q811yescharacteristic
701C2C2×#6610511yescharacteristic
702C2C2×#6611211yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#479C2
socleC23×C5C22×D4
prime radicalC23×D5C2×D4
hypercenterC2×#479D5
hypocenterC5C2×#3082
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

Complements

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

NH ≅ G/Ntype
3. C2×C5×#479C2semidirect
4. C2×#65352C2semidirect
5. C2×#65309C2semidirect
6. #10612963C2direct (N × H)
7. C2×#65166C2semidirect
9. C2×#65143C2semidirect
11. C2×#65139C2semidirect
15. C2×#65085C2semidirect
16. C2×#65083C2semidirect
44. C5×#479C22semidirect
58. #65352C22semidirect
59. #65309C22semidirect
68. #65166C22semidirect
70. #65143C22semidirect
71. #65139C22semidirect
75. #65085C22semidirect
76. #65083C22semidirect
81. C2×Q8×D5Q8semidirect
187. C2×#479D5semidirect
218. Q8×D5C2×Q8semidirect
316. #479C2×D5semidirect
615. C2×C5#3082semidirect
673. C5C2×#3082semidirect
699. C2#10612963direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#660232
C2×#659062
C2×C5×#4792
C2×#653522
C2×#653092
#106129632
C2×#651662
C2×#651692
C2×#651432
C2×#651502
C2×#651392
C2×#651282
C2×#650912
C2×D5×#1032
C2×#650852
C2×#650832
C2×#30825