Finite Group Databasebeta

← C2×#10613091 #12971487

Subgroups — C2×#10613091 #12971487

Order 1280.

1806 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65953C211yesmaximal, characteristic
2C2×#65853C211yesmaximal, characteristic, complemented
3C2×C5×#482C211yesmaximal, characteristic, complemented
4C2×#65322C211yesmaximal, characteristic, complemented
5C2×#65292C211yesmaximal, characteristic, complemented
6#10613091C2116yesmaximal, direct product factor
7C2×#65179C211yesmaximal, characteristic, complemented
8C2×#65165C211yesmaximal, characteristic, complemented
9C2×#65160C211yesmaximal, characteristic, complemented
10C2×#65147C211yesmaximal, characteristic, complemented
11C2×#65053C211yesmaximal, characteristic, complemented
12C2×#65049C211yesmaximal, characteristic, complemented
13C2×#65052C211yesmaximal, characteristic, complemented
14C2×#65050C211yesmaximal, characteristic, complemented
15C2×#65024C211yesmaximal, characteristic, complemented
16C2×#65009C211yesmaximal, characteristic, complemented
17C2×C5×#121C2211yescharacteristic
18C2×C5×#117C2211yescharacteristic
19C2×#4086C2211yescharacteristic
20C2×#4085—21no—
21C2×#4084—21no—
22C2×D4×Dic5C2211yescharacteristic
23C2×#4076C2211yescharacteristic
24C2×#4072C2211yescharacteristic
25C22×C4⋊Dic5C2211yescharacteristic
26#65953—24no—
27#65953C2218yes—
28#65853—24no—
29#65853C2218yescomplemented
30C2×#4039C2211yescharacteristic
31C2×#4036C2211yescharacteristic
32C2×#4036C2211yescharacteristic
33C2×#4036C2211yescharacteristic
34C2×#4034C2211yescharacteristic
35C2×#4034C2211yescharacteristic
36C2×#4032—21no—
37C2×#4029—21no—
38C2×#4024—21no—
39C2×#4024—21no—
40C2×#4016—21no—
41C2×#4015—21no—
42C5×#482C2218yescomplemented
43C2×C5×#107C2211yescharacteristic
44C2×C5×#106C2211yescharacteristic
45C2×C5×#102C2211yescharacteristic
46C2×C5×#102C2211yescharacteristic
47C2×C5×C22⋊C8C2211yescharacteristic
48C2×#3964C2211yescharacteristic
49C2×#3964C2211yescharacteristic
50C2×C22⋊#168C2211yescharacteristic
51C2×#3953C2211yescharacteristic
52C2×#3953C2211yescharacteristic
53C2×#3949C2211yescharacteristic
54C2×#3949C2211yescharacteristic
55C2×#3947C2211yescharacteristic
56C2×#3946C2211yescharacteristic
57C2×#3946C2211yescharacteristic
58C2×C8×Dic5C2211yescharacteristic
59#65322C2218yescomplemented
60#65292C2218yescomplemented
61C2×#3941C2211yescharacteristic
62C2×#3941C2211yescharacteristic
63C2×#3940C2211yescharacteristic
64C2×#3939C2211yescharacteristic
65C2×#3939C2211yescharacteristic
66C2×#3939C2211yescharacteristic
67#65179C2218yescomplemented
68#65165C2218yescomplemented
69#65160C2218yescomplemented
70#65147C2218yescomplemented
71#65053C2218yescomplemented
72#65052C2218yescomplemented
73#65050C2218yescomplemented
74#65049C2218yescomplemented
75#65024C2218yescomplemented
76#65009C2218yescomplemented
77C2×#3241—51nomaximal, Sylow
78C22×C5×D4—21no—
79C22×C5×D4C2311yescharacteristic
80C23×C4×C5C2311yescharacteristic
81C22×C22⋊D5—21no—
82C22×C22⋊D5—21no—
83C22×C22⋊D5—21no—
84C23×Dic5—21no—
85C23×Dic5—21no—
86C22×D20C2311yescharacteristic
87C22×C4×D5—21no—
88C22×Dic10—21no—
89C22×Dic10—21no—
90C22×C5×C8C2311yescharacteristic
91C22×C5×C8C2311yescharacteristic
92C5×#121—22no—
93C5×#121C2314yes—
94C5×#117—22no—
95C5×#117C2314yes—
96C2×C5×C4⋊C4C2311yescharacteristic
97C2×C5×C4⋊C4C2311yescharacteristic
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C22⋊C4—21no—
100C2×C5×C22⋊C4—21no—
101C2×C42×C5—21no—
102C2×C22⋊Dic5—21no—
103C2×C22⋊Dic5D411yescharacteristic
104C2×C22⋊Dic5D411yescharacteristic
105#4086—22no—
106#4086C2314yes—
107#4085—28no—
108#4084—28no—
109D4×Dic5—22no—
110D4×Dic5C2314yes—
111#4076—22no—
112#4076C2314yes—
113C2×#685—21no—
114C2×#685—21no—
115#4072D414yes—
116#4072C2314yes—
117C2×C4⋊Dic5—21no—
118C2×C4⋊Dic5—22no—
119C2×C4⋊Dic5—21no—
120C2×C4⋊Dic5—21no—
121C2×C4⋊Dic5—21no—
122C2×C4⋊Dic5D411yescharacteristic
123C2×C4⋊Dic5D411yescharacteristic
124C2×C4⋊Dic5C2314yes—
125C2×C4⋊Dic5C2311yescharacteristic
126C2×C4⋊Dic5C2311yescharacteristic
127C2×C4⋊Dic5C2311yescharacteristic
128C2×#683—21no—
129C2×#683—21no—
130C2×#683—21no—
131C2×#683—21no—
132C2×#683—21no—
133C2×C4×Dic5C2311yescharacteristic
134C2×C4×Dic5C2311yescharacteristic
135C22×#168C2311yescharacteristic
136C22×#168C2311yescharacteristic
137#4039—22no—
138#4039C2314yes—
139#4036—22no—
140#4036—22no—
141#4036—22no—
142#4036C2314yes—
143#4036C2314yes—
144#4036C2314yes—
145#4034—22no—
146#4034—22no—
147#4034C2314yes—
148#4034C2314yes—
149#4032—28no—
150#4029—28no—
151#4024—28no—
152#4024—28no—
153#4016—28no—
154#4015—28no—
155C5×#107C2314yes—
156C5×#106C2314yes—
157C5×#102C2314yes—
158C5×#102C2314yes—
159C5×C22⋊C8C2314yes—
160#3964C2314yes—
161#3964C2314yes—
162C22⋊#168C2314yes—
163#3953C2314yes—
164#3953C2314yes—
165#3949C2314yes—
166#3949C2314yes—
167#3947C2314yes—
168#3946C2314yes—
169#3946C2314yes—
170C8×Dic5C2314yes—
171#3941C2314yes—
172#3941C2314yes—
173#3940C2314yes—
174#3939C2314yes—
175#3939C2314yes—
176#3939C2314yes—
177C2×#544—51no—
178C2×#540—51no—
179#3241—516no—
180C2×#501—51no—
181C2×#499—51no—
182C2×#490—51no—
183C2×#486—51no—
184C2×#481—51no—
185C2×#482—51no—
186C2×#482D511yescharacteristic, complemented
187C2×#480—51no—
188C2×#478—51no—
189C2×#478—51no—
190C2×#476—51no—
191C2×#474—51no—
192C2×#433—51no—
193C24×C5—21no—
194C24×C5C2×D411yescharacteristic
195C23×D5—21no—
196C2×C5×D4—24no—
197C2×C5×D4—21no—
198C2×C5×D4—22no—
199C2×C5×D4—22no—
200C2×C5×D4—82no—
201C2×C5×D4C2412yes—
202C22×C4×C5—22no—
203C22×C4×C5—22no—
204C22×C4×C5—21no—
205C22×C4×C5—21no—
206C22×C4×C5—21no—
207C22×C4×C5C2×D411yescharacteristic
208C22×C4×C5C2×D412yes—
209C22×C4×C5C2412yes—
210C22×C4×C5C2411yescharacteristic
211C2×C22⋊D5—24no—
212C2×C22⋊D5—24no—
213C2×C22⋊D5—24no—
214C2×C22⋊D5—82no—
215C2×C22⋊D5—82no—
216C2×C22⋊D5—82no—
217C22×Dic5—21no—
218C22×Dic5—21no—
219C22×Dic5—21no—
220C22×Dic5—24no—
221C22×Dic5—24no—
222C22×Dic5—82no—
223C22×Dic5—82no—
224C22×Dic5C2×D411yescharacteristic
225C22×Dic5C2×D411yescharacteristic
226C22×Dic5C2×D411yescharacteristic
227C22×Dic5C2×D411yescharacteristic
228C2×D20—22no—
229C2×D20—22no—
230C2×D20—21no—
231C2×D20C2412yes—
232C2×C4×D5—24no—
233C2×C4×D5—82no—
234C2×Dic10—24no—
235C2×Dic10—24no—
236C2×Dic10—82no—
237C2×Dic10—82no—
238C2×C5×C8—22no—
239C2×C5×C8—22no—
240C2×C5×C8C2412yes—
241C2×C5×C8C2412yes—
242C5×C4⋊C4—21no—
243C5×C4⋊C4—21no—
244C5×C4⋊C4—21no—
245C5×C4⋊C4C2412yes—
246C5×C4⋊C4C2412yes—
247C5×C4⋊C4C2412yes—
248C5×C22⋊C4—24no—
249C5×C22⋊C4—24no—
250C42×C5—24no—
251C22⋊Dic5—24no—
252C22⋊Dic5C2×D414yes—
253C22⋊Dic5C2×D414yes—
254#685—24no—
255#685—24no—
256C4⋊Dic5—24no—
257C4⋊Dic5—21no—
258C4⋊Dic5—21no—
259C4⋊Dic5—21no—
260C4⋊Dic5—24no—
261C4⋊Dic5—24no—
262C4⋊Dic5—24no—
263C4⋊Dic5C2×D414yes—
264C4⋊Dic5C2×D414yes—
265C4⋊Dic5C2412yes—
266C4⋊Dic5C2412yes—
267C4⋊Dic5C2412yes—
268#683—24no—
269#683—24no—
270#683—24no—
271#683—24no—
272#683—24no—
273C4×Dic5C2×D412yes—
274C4×Dic5C2×D412yes—
275C4×Dic5C2412yes—
276C4×Dic5C2412yes—
277C2×#168—22no—
278C2×#168—22no—
279C2×#168C2412yes—
280C2×#168C2412yes—
281#544—58no—
282#544—104no—
283#540—58no—
284#540—104no—
285C2×C4⋊Q8—51no—
286C2×C4⋊Q8—51no—
287C2×C4⋊Q8—101no—
288C2×#127—51no—
289C2×#125—51no—
290C2×#125—51no—
291C2×#125—51no—
292C2×#125—101no—
293C2×#123—101no—
294C2×#123—101no—
295C2×C22⋊Q8—101no—
296C2×C22⋊Q8—101no—
297C2×#121—51no—
298C2×#121—101no—
299C2×#121—101no—
300C2×#121C2×D511yescharacteristic
301C2×C4×D4—51no—
302C2×C4×D4—51no—
303C2×#117—51no—
304C2×#117C2×D511yescharacteristic
305C22×C4⋊C4—51no—
306#501—58no—
307#499—58no—
308#490—58no—
309#486—58no—
310#482—58no—
311#482C2×D518yescomplemented
312#481—58no—
313#480—58no—
314#478—58no—
315#478—58no—
316#476—58no—
317#474—58no—
318#433—58no—
319C2×#107—51no—
320C2×#107—51no—
321C2×#107—51no—
322C2×#107C2×D511yescharacteristic
323C2×#106—51no—
324C2×#106—51no—
325C2×#106—51no—
326C2×#106C2×D511yescharacteristic
327C2×C4⋊C8—51no—
328C2×C4⋊C8—51no—
329C2×#102—51no—
330C2×#102—51no—
331C2×#102—51no—
332C2×#102—51no—
333C2×#102—51no—
334C2×#102—51no—
335C2×#102C2×D511yescharacteristic
336C2×#102C2×D511yescharacteristic
337C2×C22⋊C8—51no—
338C2×C22⋊C8C2×D511yescharacteristic
339C2×#97—51no—
340C2×C4×C8—51no—
341C23×C5—22no—
342C23×C5—22no—
343C23×C5—22no—
344C23×C5—22no—
345C23×C5—42no—
346C23×C5—42no—
347C23×C5—42no—
348C23×C5C22×D412yes—
349C23×C5C22×D411yescharacteristic
350C22×D5—22no—
351C22×D5—42no—
352C22×D5—42no—
353C22×D5—42no—
354C5×D4—22no—
355C5×D4—22no—
356C5×D4—42no—
357C5×D4—84no—
358C2×C4×C5—22no—
359C2×C4×C5—24no—
360C2×C4×C5—22no—
361C2×C4×C5—22no—
362C2×C4×C5—22no—
363C2×C4×C5—22no—
364C2×C4×C5—22no—
365C2×C4×C5—42no—
366C2×C4×C5—42no—
367C2×C4×C5—42no—
368C2×C4×C5C22×D412yes—
369C2×C4×C5C22×D411yescharacteristic
370C2×C4×C52−1+412yes—
371C2×C4×C52−1+412yes—
372C2×C4×C5C2511yescharacteristic
373C22⋊D5—84no—
374C22⋊D5—84no—
375C22⋊D5—84no—
376C2×Dic5—22no—
377C2×Dic5—22no—
378C2×Dic5—22no—
379C2×Dic5—22no—
380C2×Dic5—22no—
381C2×Dic5—22no—
382C2×Dic5—22no—
383C2×Dic5—42no—
384C2×Dic5—42no—
385C2×Dic5—42no—
386C2×Dic5—84no—
387C2×Dic5—84no—
388C2×Dic5C22×D412yes—
389C2×Dic5C22×D412yes—
390C2×Dic5C22×D412yes—
391C2×Dic5C22×D412yes—
392D20—22no—
393D20—22no—
394D20—42no—
395C4×D5—84no—
396Dic10—84no—
397Dic10—84no—
398C5×C8—22no—
399C5×C8—22no—
400#168—22no—
401#168—22no—
402C22×Q8—101no—
403C22×Q8—101no—
404C22×D4—21no—
405C22×D4—51no—
406C22×D4—101no—
407C22×D4—101no—
408C22×D4—101no—
409C22×D4C22×D511yescharacteristic
410C23×C4—101no—
411C23×C4—101no—
412C23×C4—101no—
413C23×C4C22×D511yescharacteristic
414C22×C8—51no—
415C22×C8—51no—
416C22×C8C22×D511yescharacteristic
417C22×C8C22×D511yescharacteristic
418C4⋊Q8—54no—
419C4⋊Q8—54no—
420C4⋊Q8—108no—
421C4⋊Q8—102no—
422C4⋊Q8—102no—
423#127—54no—
424#127—102no—
425#125—54no—
426#125—54no—
427#125—54no—
428#125—108no—
429#125—102no—
430#125—102no—
431#125—102no—
432#123—108no—
433#123—108no—
434C22⋊Q8—108no—
435C22⋊Q8—108no—
436#121—22no—
437#121—54no—
438#121—108no—
439#121—108no—
440#121—102no—
441#121C22×D514yes—
442C4×D4—54no—
443C4×D4—54no—
444C4×D4—102no—
445C4×D4—102no—
446#117—22no—
447#117—54no—
448#117—54no—
449#117C22×D514yes—
450C2×C4⋊C4—51no—
451C2×C4⋊C4—51no—
452C2×C4⋊C4—51no—
453C2×C4⋊C4—51no—
454C2×C4⋊C4—54no—
455C2×C4⋊C4—51no—
456C2×C4⋊C4—101no—
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—102no—
466C2×C4⋊C4C22×D511yescharacteristic
467C2×C4⋊C4C22×D511yescharacteristic
468C2×C4⋊C4C22×D511yescharacteristic
469C2×C22⋊C4—21no—
470C2×C22⋊C4—21no—
471C2×C22⋊C4—51no—
472C2×C22⋊C4—51no—
473C2×C22⋊C4—101no—
474C2×C22⋊C4—101no—
475C2×C22⋊C4—101no—
476C2×C42—21no—
477C2×C42—51no—
478C2×C42—51no—
479#107—54no—
480#107—54no—
481#107—54no—
482#107C22×D514yes—
483#106—54no—
484#106—54no—
485#106—54no—
486#106C22×D514yes—
487C4⋊C8—54no—
488C4⋊C8—54no—
489#102—54no—
490#102—54no—
491#102—54no—
492#102—54no—
493#102—54no—
494#102—54no—
495#102C22×D514yes—
496#102C22×D514yes—
497C22⋊C8—54no—
498C22⋊C8C22×D514yes—
499#97—54no—
500C4×C8—54no—
501C22×C5—22no—
502C22×C5—22no—
503C22×C5—22no—
504C22×C5—44no—
505C22×C5—42no—
506C22×C5—42no—
507C22×C5—42no—
508C22×C5—84no—
509C22×C5#53612yes—
510C22×C5#57612yes—
511C22×C5#57712yes—
512C22×C5C23×D411yescharacteristic
513C2×D5—42no—
514C2×D5—42no—
515C2×D5—42no—
516C2×D5—84no—
517C4×C5—22no—
518C4×C5—42no—
519C4×C5—42no—
520C4×C5—42no—
521C4×C5#53612yes—
522C4×C5C2×2−1+411yescharacteristic
523C4×C5C2×2−1+411yescharacteristic
524Dic5—22no—
525Dic5—22no—
526Dic5—22no—
527Dic5—22no—
528Dic5—42no—
529Dic5—42no—
530Dic5—42no—
531C24—21no—
532C24—101no—
533C24D4×D511yescharacteristic
534C2×Q8—104no—
535C2×Q8—104no—
536C2×Q8—402no—
537C2×Q8—402no—
538C2×D4—24no—
539C2×D4—21no—
540C2×D4—22no—
541C2×D4—22no—
542C2×D4—52no—
543C2×D4—82no—
544C2×D4—104no—
545C2×D4—104no—
546C2×D4—104no—
547C2×D4—101no—
548C2×D4—102no—
549C2×D4—102no—
550C2×D4—402no—
551C2×D4—402no—
552C2×D4—402no—
553C2×D4C23×D512yes—
554C22×C4—22no—
555C22×C4—22no—
556C22×C4—21no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—51no—
560C22×C4—51no—
561C22×C4—51no—
562C22×C4—51no—
563C22×C4—104no—
564C22×C4—104no—
565C22×C4—101no—
566C22×C4—101no—
567C22×C4—101no—
568C22×C4—104no—
569C22×C4—402no—
570C22×C4—402no—
571C22×C4—402no—
572C22×C4D4×D512yes—
573C22×C4D4×D511yescharacteristic
574C22×C4C23×D512yes—
575C22×C4C23×D511yescharacteristic
576C2×C8—22no—
577C2×C8—22no—
578C2×C8—52no—
579C2×C8—52no—
580C2×C8—102no—
581C2×C8—102no—
582C2×C8C23×D512yes—
583C2×C8C23×D512yes—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—54no—
588C4⋊C4—54no—
589C4⋊C4—52no—
590C4⋊C4—52no—
591C4⋊C4—52no—
592C4⋊C4—104no—
593C4⋊C4—104no—
594C4⋊C4—104no—
595C4⋊C4—104no—
596C4⋊C4—104no—
597C4⋊C4—104no—
598C4⋊C4—104no—
599C4⋊C4—104no—
600C4⋊C4—104no—
601C4⋊C4—101no—
602C4⋊C4—101no—
603C4⋊C4—101no—
604C4⋊C4C23×D512yes—
605C4⋊C4C23×D512yes—
606C4⋊C4C23×D512yes—
607C22⋊C4—24no—
608C22⋊C4—24no—
609C22⋊C4—54no—
610C22⋊C4—54no—
611C22⋊C4—104no—
612C22⋊C4—104no—
613C22⋊C4—104no—
614C42—24no—
615C42—52no—
616C42—52no—
617C42—52no—
618C42—52no—
619C2×C5—42no—
620C2×C5—82no—
621C2×C5#324114yescomplemented
622C2×C5C2×#53611yescharacteristic
623C2×C5C2×#57611yescharacteristic
624C2×C5C2×#57711yescharacteristic
625D5—82no—
626C23—22no—
627C23—22no—
628C23—22no—
629C23—22no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—102no—
634C23—202no—
635C23—202no—
636C23—202no—
637C23C2×D4×D512yes—
638C23C2×D4×D511yescharacteristic
639Q8—404no—
640Q8—404no—
641D4—22no—
642D4—22no—
643D4—42no—
644D4—84no—
645D4—102no—
646D4—102no—
647D4—202no—
648D4—404no—
649D4—404no—
650D4—404no—
651C2×C4—22no—
652C2×C4—24no—
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—52no—
662C2×C4—52no—
663C2×C4—52no—
664C2×C4—52no—
665C2×C4—102no—
666C2×C4—102no—
667C2×C4—102no—
668C2×C4—102no—
669C2×C4—102no—
670C2×C4—102no—
671C2×C4—102no—
672C2×C4—202no—
673C2×C4—202no—
674C2×C4—202no—
675C2×C4—404no—
676C2×C4—404no—
677C2×C4—404no—
678C2×C4C2×D4×D512yes—
679C2×C4C2×D4×D511yescharacteristic
680C2×C4#415012yes—
681C2×C4#415012yes—
682C2×C4C24×D511yescharacteristic
683C8—22no—
684C8—22no—
685C8—102no—
686C8—102no—
687C5C2×#324111yescharacteristic, complemented, Sylow
688C22—22no—
689C22—22no—
690C22—22no—
691C22—44no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—84no—
696C22—202no—
697C22—202no—
698C22—202no—
699C22—404no—
700C22#6598212yes—
701C22#6610412yes—
702C22#6610812yes—
703C22C22×D4×D511yescharacteristic
704C4—22no—
705C4—42no—
706C4—42no—
707C4—42no—
708C4—102no—
709C4—102no—
710C4—102no—
711C4—102no—
712C4—202no—
713C4—202no—
714C4—202no—
715C4#6598212yes—
716C4C2×#415011yescharacteristic
717C4C2×#415011yescharacteristic
718C2—42no—
719C2—82no—
720C2—402no—
721C2#1061309114yesdirect product factor
722C2C2×#6598211yescharacteristic
723C2C2×#6610411yescharacteristic
724C2C2×#6610811yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#482C2
socleC23×C5C22×D4
prime radicalC2×#65953C2
hypercenterC2×#482D5
hypocenterC5C2×#3241
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#482

Complements

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

NH ≅ G/Ntype
2. C2×#65853C2semidirect
3. C2×C5×#482C2semidirect
4. C2×#65322C2semidirect
5. C2×#65292C2semidirect
6. #10613091C2direct (N × H)
7. C2×#65179C2semidirect
8. C2×#65165C2semidirect
9. C2×#65160C2semidirect
10. C2×#65147C2semidirect
11. C2×#65053C2semidirect
12. C2×#65049C2semidirect
13. C2×#65052C2semidirect
14. C2×#65050C2semidirect
15. C2×#65024C2semidirect
16. C2×#65009C2semidirect
29. #65853C22semidirect
42. C5×#482C22semidirect
59. #65322C22semidirect
60. #65292C22semidirect
67. #65179C22semidirect
68. #65165C22semidirect
69. #65160C22semidirect
70. #65147C22semidirect
71. #65053C22semidirect
72. #65052C22semidirect
73. #65050C22semidirect
74. #65049C22semidirect
75. #65024C22semidirect
76. #65009C22semidirect
186. C2×#482D5semidirect
311. #482C2×D5semidirect
621. C2×C5#3241semidirect
687. C5C2×#3241semidirect
721. C2#10613091direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#659532
C2×#658532
C2×C5×#4822
C2×#653222
C2×#652922
#106130912
C2×#651792
C2×#651652
C2×#651602
C2×#651472
C2×#650532
C2×#650492
C2×#650522
C2×#650502
C2×#650242
C2×#650092
C2×#32415