Finite Group Databasebeta

← C2×#10612628 #12972221

Subgroups — C2×#10612628 #12972221

Order 1280.

1818 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65977C211yesmaximal, characteristic
2C2×#65959C211yesmaximal, characteristic, complemented
3C2×C5×#470C211yesmaximal, characteristic, complemented
4C2×#65474C211yesmaximal, characteristic, complemented
5C2×#65471C211yesmaximal, characteristic, complemented
6C2×#65423C211yesmaximal, characteristic
7C2×#65408C211yesmaximal, characteristic, complemented
8C2×#65340C211yesmaximal, characteristic, complemented
9C2×#65337C211yesmaximal, characteristic
10#10612628C2116yesmaximal, direct product factor
11C2×#65143C211yesmaximal, characteristic, complemented
12C2×#65160C211yesmaximal, characteristic, complemented
13C2×#65087C211yesmaximal, characteristic, complemented
14C2×#65107C211yesmaximal, characteristic, complemented
15C2×#65085C211yesmaximal, characteristic, complemented
16C2×#65083C211yesmaximal, characteristic, complemented
17C22×C5×Q16C2211yescharacteristic
18C22×C5×M16C2211yescharacteristic
19C2×C5×C22⋊Q8C2211yescharacteristic
20C2×C5×C22⋊Q8C2211yescharacteristic
21C2×#4093C2211yescharacteristic
22C2×Q8×Dic5C2211yescharacteristic
23C2×Q8×Dic5C2211yescharacteristic
24C2×#4090C2211yescharacteristic
25C22×#689C2211yescharacteristic
26C22×#688C2211yescharacteristic
27C2×#4076C2211yescharacteristic
28C2×#4072C2211yescharacteristic
29C2×#4070C2211yescharacteristic
30C23×#168C2211yescharacteristic
31C22×#677C2211yescharacteristic
32#65977—24no—
33#65977C2218yes—
34#65959—24no—
35#65959C2218yescomplemented
36C2×#4044—21no—
37C2×#4043—21no—
38C2×#4039C2211yescharacteristic
39C2×#4036—21no—
40C2×#4036C2211yescharacteristic
41C2×#4035—21no—
42C2×#4034C2211yescharacteristic
43C2×#4033C2211yescharacteristic
44C2×#4031—21no—
45C2×#4029—21no—
46C2×#4025—21no—
47C2×#4025—21no—
48C5×#470C2218yescomplemented
49C2×C5×#106C2211yescharacteristic
50C2×C5×#103C2211yescharacteristic
51C2×C5×#103C2211yescharacteristic
52C2×#3967C2211yescharacteristic
53C2×#3967C2211yescharacteristic
54#65474C2218yescomplemented
55#65471C2218yescomplemented
56#65423C2218yes—
57#65408C2218yescomplemented
58C2×#3953C2211yescharacteristic
59C2×#3950C2211yescharacteristic
60C2×#3948C2211yescharacteristic
61C2×#3946C2211yescharacteristic
62C2×#3946C2211yescharacteristic
63C2×#3946C2211yescharacteristic
64C2×#3946C2211yescharacteristic
65#65340C2218yescomplemented
66#65337C2218yes—
67C2×#3942C2211yescharacteristic
68C2×#3941C2211yescharacteristic
69C2×#3940C2211yescharacteristic
70C2×#3939C2211yescharacteristic
71#65160C2218yescomplemented
72#65143C2218yescomplemented
73#65107C2218yescomplemented
74#65087C2218yescomplemented
75#65085C2218yescomplemented
76#65083C2218yescomplemented
77C2×#3258—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C22×C5×Q8C2311yescharacteristic
80C23×C4×C5C2311yescharacteristic
81C22×C22⋊D5—21no—
82C22×D20C2311yescharacteristic
83C22×C4×D5—21no—
84C22×Dic10—21no—
85C22×Dic10C2311yescharacteristic
86C2×C5×Q16—42no—
87C2×C5×Q16C2314yes—
88C2×C5×M16—42no—
89C2×C5×M16C2314yes—
90C22×C5×C8C2311yescharacteristic
91C22×C5×C8C2311yescharacteristic
92C5×C22⋊Q8—22no—
93C5×C22⋊Q8—22no—
94C5×C22⋊Q8C2314yes—
95C5×C22⋊Q8C2314yes—
96C2×C5×C4⋊C4—21no—
97C2×C5×C4⋊C4—21no—
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C4⋊C4C2311yescharacteristic
100C2×C5×C22⋊C4—21no—
101C2×C5×C22⋊C4—21no—
102C2×C22⋊Dic5—21no—
103C2×C22⋊Dic5D411yescharacteristic
104C2×C22⋊Dic5D411yescharacteristic
105#4093—22no—
106#4093C2314yes—
107Q8×Dic5—22no—
108Q8×Dic5—22no—
109Q8×Dic5C2314yes—
110Q8×Dic5C2314yes—
111#4090—22no—
112#4090C2314yes—
113C2×#689—42no—
114C2×#689C2314yes—
115C2×#688—42no—
116C2×#688C2314yes—
117#4076—22no—
118#4076C2314yes—
119C2×#685—21no—
120C2×#685—21no—
121C2×#685—21no—
122C2×#685—21no—
123#4072D414yes—
124#4072C2314yes—
125C2×C4⋊Dic5—21no—
126C2×C4⋊Dic5—21no—
127C2×C4⋊Dic5—21no—
128C2×C4⋊Dic5D411yescharacteristic
129C2×C4⋊Dic5D411yescharacteristic
130C2×C4⋊Dic5C2311yescharacteristic
131C2×C4⋊Dic5C2311yescharacteristic
132#4070—22no—
133#4070C2314yes—
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×Dic5C2311yescharacteristic
144C2×C4×Dic5C2311yescharacteristic
145C22×#168—42no—
146C22×#168C2311yescharacteristic
147C22×#168C2311yescharacteristic
148C22×#168C2314yes—
149C2×#677—42no—
150C2×#677C2314yes—
151#4044—28no—
152#4043—28no—
153#4039—22no—
154#4039C2314yes—
155#4036—28no—
156#4036—22no—
157#4036C2314yes—
158#4035—28no—
159#4034—22no—
160#4034C2314yes—
161#4033—22no—
162#4033C2314yes—
163#4031—28no—
164#4029—28no—
165#4025—28no—
166#4025—28no—
167C5×#106C2314yes—
168C5×#103C2314yes—
169C5×#103C2314yes—
170#3967C2314yes—
171#3967C2314yes—
172#3953C2314yes—
173#3950C2314yes—
174#3948C2314yes—
175#3946C2314yes—
176#3946C2314yes—
177#3946C2314yes—
178#3946C2314yes—
179#3942C2314yes—
180#3941C2314yes—
181#3940C2314yes—
182#3939C2314yes—
183C2×#542—51no—
184C2×#541—51no—
185#3258—516no—
186C2×#479—51no—
187C2×#477—51no—
188C2×#475—51no—
189C2×#478—51no—
190C2×#470D511yescharacteristic, complemented
191C2×#468—51no—
192C2×#467—51no—
193C2×#465—51no—
194C2×#464—51no—
195C2×#464—51no—
196C2×#462—51no—
197C2×#461—51no—
198C2×#424—51no—
199C24×C5C2×D411yescharacteristic
200C23×D5—21no—
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—
209C22×C4×C5—22no—
210C22×C4×C5—22no—
211C22×C4×C5—21no—
212C22×C4×C5—21no—
213C22×C4×C5—21no—
214C22×C4×C5—21no—
215C22×C4×C5C2×D411yescharacteristic
216C22×C4×C5C2×D412yes—
217C22×C4×C5C2412yes—
218C22×C4×C5C2411yescharacteristic
219C2×C22⋊D5—24no—
220C2×C22⋊D5—82no—
221C22×Dic5—21no—
222C22×Dic5—21no—
223C22×Dic5—21no—
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—22no—
235C2×Dic10—22no—
236C2×Dic10—21no—
237C2×Dic10—24no—
238C2×Dic10—82no—
239C2×Dic10C2412yes—
240C5×Q16—44no—
241C5×M16—44no—
242C2×C5×C8—22no—
243C2×C5×C8—22no—
244C2×C5×C8C2412yes—
245C2×C5×C8C2412yes—
246C5×C4⋊C4—24no—
247C5×C4⋊C4—24no—
248C5×C4⋊C4—21no—
249C5×C4⋊C4—21no—
250C5×C4⋊C4C2412yes—
251C5×C4⋊C4C2412yes—
252C5×C22⋊C4—24no—
253C5×C22⋊C4—24no—
254C22⋊Dic5—24no—
255C22⋊Dic5C2×D414yes—
256C22⋊Dic5C2×D414yes—
257#689—44no—
258#688—44no—
259#685—24no—
260#685—24no—
261#685—24no—
262#685—24no—
263C4⋊Dic5—21no—
264C4⋊Dic5—21no—
265C4⋊Dic5—24no—
266C4⋊Dic5—24no—
267C4⋊Dic5—24no—
268C4⋊Dic5C2×D414yes—
269C4⋊Dic5C2×D414yes—
270C4⋊Dic5C2412yes—
271C4⋊Dic5C2412yes—
272#683—24no—
273#683—24no—
274#683—24no—
275#683—24no—
276#683—24no—
277#683—24no—
278C4×Dic5—24no—
279C4×Dic5—24no—
280C4×Dic5—24no—
281C4×Dic5C2×D412yes—
282C4×Dic5C2×D412yes—
283C4×Dic5C2412yes—
284C4×Dic5C2412yes—
285C2×#168—22no—
286C2×#168—22no—
287C2×#168—44no—
288C2×#168C2412yes—
289C2×#168C2412yes—
290#677—44no—
291C22×Q16—51no—
292C22×Q16C2×D511yescharacteristic
293C22×SD16—51no—
294C22×SD16—51no—
295C22×M16C2×D511yescharacteristic
296C23×C8—51no—
297#542—58no—
298#542—104no—
299#541—58no—
300#541—104no—
301C2×C4⋊Q8—51no—
302C2×C4⋊Q8—51no—
303C2×#126—101no—
304C2×#126—101no—
305C2×#126—101no—
306C2×#125—51no—
307C2×#125—101no—
308C2×#125—101no—
309C2×#124—51no—
310C2×#124—101no—
311C2×#123—101no—
312C2×C22⋊Q8—51no—
313C2×C22⋊Q8—101no—
314C2×C22⋊Q8C2×D511yescharacteristic
315C2×C22⋊Q8C2×D511yescharacteristic
316C2×#121—51no—
317C2×C4×Q8—51no—
318C2×C4×Q8—51no—
319C2×C4×Q8—51no—
320C2×C4×D4—51no—
321C2×#117—51no—
322#479—58no—
323#478—58no—
324#477—58no—
325#475—58no—
326#470C2×D518yescomplemented
327#468—58no—
328#467—58no—
329#465—58no—
330#464—58no—
331#464—58no—
332#462—58no—
333#461—58no—
334C2×#107—51no—
335C2×#107—51no—
336C2×#106—51no—
337C2×#106C2×D511yescharacteristic
338#424—58no—
339C2×C4⋊C8—51no—
340C2×C4⋊C8—51no—
341C2×C4⋊C8—51no—
342C2×C4⋊C8—51no—
343C2×#103—51no—
344C2×#103—51no—
345C2×#103—51no—
346C2×#103—51no—
347C2×#103C2×D511yescharacteristic
348C2×#103C2×D511yescharacteristic
349C2×#102—51no—
350C2×#102—51no—
351C23×C5—22no—
352C23×C5—22no—
353C23×C5—22no—
354C23×C5C22×D412yes—
355C23×C5C22×D411yescharacteristic
356C22×D5—22no—
357C22×D5—42no—
358C22×D5—42no—
359C22×D5—42no—
360C5×Q8—22no—
361C5×Q8—22no—
362C5×Q8—22no—
363C5×Q8—22no—
364C5×Q8—42no—
365C5×Q8—42no—
366C2×C4×C5—22no—
367C2×C4×C5—24no—
368C2×C4×C5—22no—
369C2×C4×C5—22no—
370C2×C4×C5—22no—
371C2×C4×C5—22no—
372C2×C4×C5—22no—
373C2×C4×C5—22no—
374C2×C4×C5—42no—
375C2×C4×C5—42no—
376C2×C4×C5—42no—
377C2×C4×C5—42no—
378C2×C4×C5C22×D412yes—
379C2×C4×C5C22×D411yescharacteristic
380C2×C4×C5H(5,𝔽2)12yes—
381C2×C4×C52−1+412yes—
382C2×C4×C5C2511yescharacteristic
383C22⋊D5—84no—
384C2×Dic5—22no—
385C2×Dic5—22no—
386C2×Dic5—22no—
387C2×Dic5—22no—
388C2×Dic5—22no—
389C2×Dic5—22no—
390C2×Dic5—22no—
391C2×Dic5—42no—
392C2×Dic5—42no—
393C2×Dic5—42no—
394C2×Dic5C22×D412yes—
395C2×Dic5C22×D412yes—
396C2×Dic5C22×D412yes—
397C2×Dic5C22×D412yes—
398D20—22no—
399D20—22no—
400D20—42no—
401C4×D5—84no—
402Dic10—22no—
403Dic10—22no—
404Dic10—42no—
405Dic10—84no—
406C5×C8—22no—
407C5×C8—22no—
408#168—22no—
409#168—22no—
410C22×Q8—51no—
411C22×Q8—101no—
412C22×Q8C22×D511yescharacteristic
413C22×Q8C22×D511yescharacteristic
414C22×D4—51no—
415C22×D4—101no—
416C23×C4—101no—
417C23×C4C22×D511yescharacteristic
418C2×Q16—42no—
419C2×Q16—54no—
420C2×Q16—202no—
421C2×Q16C22×D514yes—
422C2×SD16—54no—
423C2×SD16—54no—
424C2×SD16—202no—
425C2×SD16—202no—
426C2×M16—42no—
427C2×M16C22×D514yes—
428C22×C8—51no—
429C22×C8—51no—
430C22×C8—54no—
431C22×C8—202no—
432C22×C8C22×D511yescharacteristic
433C22×C8C22×D511yescharacteristic
434C4⋊Q8—54no—
435C4⋊Q8—54no—
436C4⋊Q8—102no—
437C4⋊Q8—102no—
438#126—108no—
439#126—108no—
440#126—108no—
441#125—54no—
442#125—102no—
443#125—108no—
444#125—108no—
445#124—54no—
446#124—102no—
447#124—108no—
448#123—108no—
449C22⋊Q8—22no—
450C22⋊Q8—22no—
451C22⋊Q8—54no—
452C22⋊Q8—108no—
453C22⋊Q8—102no—
454C22⋊Q8C22×D514yes—
455C22⋊Q8C22×D514yes—
456#121—54no—
457#121—102no—
458C4×Q8—54no—
459C4×Q8—54no—
460C4×Q8—54no—
461C4×Q8—102no—
462C4×Q8—102no—
463C4×Q8—102no—
464C4×D4—54no—
465C4×D4—102no—
466#117—54no—
467#117—54no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—51no—
471C2×C4⋊C4—51no—
472C2×C4⋊C4—51no—
473C2×C4⋊C4—51no—
474C2×C4⋊C4—101no—
475C2×C4⋊C4—101no—
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⋊C4C22×D511yescharacteristic
484C2×C4⋊C4C22×D511yescharacteristic
485C2×C22⋊C4—21no—
486C2×C22⋊C4—21no—
487C2×C22⋊C4—51no—
488C2×C22⋊C4—51no—
489C2×C22⋊C4—101no—
490C2×C22⋊C4—101no—
491C2×C22⋊C4—101no—
492C2×C22⋊C4—101no—
493C2×C22⋊C4—101no—
494C2×C42—51no—
495C2×C42—51no—
496C2×C42—101no—
497C2×C42—101no—
498C2×C42—101no—
499#107—54no—
500#107—54no—
501#106—54no—
502#106C22×D514yes—
503C4⋊C8—54no—
504C4⋊C8—54no—
505C4⋊C8—54no—
506C4⋊C8—54no—
507#103—54no—
508#103—54no—
509#103—54no—
510#103—54no—
511#103C22×D514yes—
512#103C22×D514yes—
513#102—54no—
514#102—54no—
515C22×C5—22no—
516C22×C5—22no—
517C22×C5—22no—
518C22×C5—44no—
519C22×C5#53712yes—
520C22×C5#57712yes—
521C22×C5#57812yes—
522C22×C5C23×D411yescharacteristic
523C2×D5—42no—
524C2×D5—42no—
525C2×D5—42no—
526C2×D5—84no—
527C4×C5—22no—
528C4×C5—42no—
529C4×C5—42no—
530C4×C5—42no—
531C4×C5—42no—
532C4×C5#53712yes—
533C4×C5C2×H(5,𝔽2)11yescharacteristic
534C4×C5C2×2−1+411yescharacteristic
535Dic5—22no—
536Dic5—22no—
537Dic5—22no—
538Dic5—22no—
539Dic5—42no—
540Dic5—42no—
541Dic5—42no—
542C24—101no—
543C24D4×D511yescharacteristic
544C2×Q8—21no—
545C2×Q8—21no—
546C2×Q8—22no—
547C2×Q8—22no—
548C2×Q8—22no—
549C2×Q8—22no—
550C2×Q8—52no—
551C2×Q8—104no—
552C2×Q8—101no—
553C2×Q8—102no—
554C2×Q8—102no—
555C2×Q8—402no—
556C2×Q8C23×D512yes—
557C2×Q8C23×D512yes—
558C2×D4—52no—
559C2×D4—104no—
560C2×D4—101no—
561C2×D4—102no—
562C2×D4—102no—
563C2×D4—402no—
564C22×C4—22no—
565C22×C4—22no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—21no—
570C22×C4—51no—
571C22×C4—51no—
572C22×C4—51no—
573C22×C4—51no—
574C22×C4—104no—
575C22×C4—101no—
576C22×C4—101no—
577C22×C4—101no—
578C22×C4—402no—
579C22×C4D4×D512yes—
580C22×C4D4×D511yescharacteristic
581C22×C4C23×D512yes—
582C22×C4C23×D511yescharacteristic
583Q16—44no—
584Q16—204no—
585SD16—204no—
586SD16—204no—
587M16—44no—
588C2×C8—22no—
589C2×C8—22no—
590C2×C8—52no—
591C2×C8—52no—
592C2×C8—102no—
593C2×C8—102no—
594C2×C8—204no—
595C2×C8C23×D512yes—
596C2×C8C23×D512yes—
597C4⋊C4—24no—
598C4⋊C4—24no—
599C4⋊C4—21no—
600C4⋊C4—21no—
601C4⋊C4—54no—
602C4⋊C4—54no—
603C4⋊C4—52no—
604C4⋊C4—52no—
605C4⋊C4—104no—
606C4⋊C4—104no—
607C4⋊C4—104no—
608C4⋊C4—104no—
609C4⋊C4—104no—
610C4⋊C4—104no—
611C4⋊C4—104no—
612C4⋊C4—104no—
613C4⋊C4—101no—
614C4⋊C4—101no—
615C4⋊C4—104no—
616C4⋊C4C23×D512yes—
617C4⋊C4C23×D512yes—
618C22⋊C4—24no—
619C22⋊C4—24no—
620C22⋊C4—54no—
621C22⋊C4—54no—
622C22⋊C4—104no—
623C22⋊C4—104no—
624C22⋊C4—104no—
625C22⋊C4—104no—
626C22⋊C4—104no—
627C42—52no—
628C42—52no—
629C42—52no—
630C42—52no—
631C42—104no—
632C42—104no—
633C42—104no—
634C2×C5—42no—
635C2×C5#325814yescomplemented
636C2×C5C2×#53711yescharacteristic
637C2×C5C2×#57711yescharacteristic
638C2×C5C2×#57811yescharacteristic
639D5—82no—
640C23—22no—
641C23—22no—
642C23—22no—
643C23—102no—
644C23—202no—
645C23—202no—
646C23—202no—
647C23C2×D4×D512yes—
648C23C2×D4×D511yescharacteristic
649Q8—22no—
650Q8—22no—
651Q8—22no—
652Q8—22no—
653Q8—42no—
654Q8—42no—
655Q8—102no—
656Q8—102no—
657Q8—202no—
658Q8—404no—
659D4—102no—
660D4—102no—
661D4—202no—
662D4—404no—
663C2×C4—22no—
664C2×C4—24no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—52no—
676C2×C4—52no—
677C2×C4—52no—
678C2×C4—52no—
679C2×C4—102no—
680C2×C4—102no—
681C2×C4—102no—
682C2×C4—102no—
683C2×C4—102no—
684C2×C4—102no—
685C2×C4—102no—
686C2×C4—202no—
687C2×C4—202no—
688C2×C4—202no—
689C2×C4—404no—
690C2×C4C2×D4×D512yes—
691C2×C4C2×D4×D511yescharacteristic
692C2×C4#414412yes—
693C2×C4#415012yes—
694C2×C4C24×D511yescharacteristic
695C8—22no—
696C8—22no—
697C8—102no—
698C8—102no—
699C5C2×#325811yescharacteristic, complemented, Sylow
700C22—22no—
701C22—22no—
702C22—22no—
703C22—44no—
704C22—202no—
705C22—202no—
706C22—202no—
707C22—404no—
708C22#6593112yes—
709C22#6611212yes—
710C22#6611312yes—
711C22C22×D4×D511yescharacteristic
712C4—22no—
713C4—42no—
714C4—42no—
715C4—42no—
716C4—42no—
717C4—102no—
718C4—102no—
719C4—102no—
720C4—102no—
721C4—202no—
722C4—202no—
723C4—202no—
724C4#6593112yes—
725C4C2×#414411yescharacteristic
726C4C2×#415011yescharacteristic
727C2—42no—
728C2—402no—
729C2#1061262814yesdirect product factor
730C2C2×#6593111yescharacteristic
731C2C2×#6611211yescharacteristic
732C2C2×#6611311yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#470C2
socleC23×C5C22×D4
prime radicalC2×#4076C22
hypercenterC2×#470D5
hypocenterC5C2×#3258
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#470

Complements

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

NH ≅ G/Ntype
2. C2×#65959C2semidirect
3. C2×C5×#470C2semidirect
4. C2×#65474C2semidirect
5. C2×#65471C2semidirect
7. C2×#65408C2semidirect
8. C2×#65340C2semidirect
10. #10612628C2direct (N × H)
11. C2×#65143C2semidirect
12. C2×#65160C2semidirect
13. C2×#65087C2semidirect
14. C2×#65107C2semidirect
15. C2×#65085C2semidirect
16. C2×#65083C2semidirect
35. #65959C22semidirect
48. C5×#470C22semidirect
54. #65474C22semidirect
55. #65471C22semidirect
57. #65408C22semidirect
65. #65340C22semidirect
71. #65160C22semidirect
72. #65143C22semidirect
73. #65107C22semidirect
74. #65087C22semidirect
75. #65085C22semidirect
76. #65083C22semidirect
190. C2×#470D5semidirect
326. #470C2×D5semidirect
635. C2×C5#3258semidirect
699. C5C2×#3258semidirect
729. C2#10612628direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#659772
C2×#659592
C2×C5×#4702
C2×#654742
C2×#654712
C2×#654232
C2×#654082
C2×#653402
C2×#653372
#106126282
C2×#651432
C2×#651602
C2×#650872
C2×#651072
C2×#650852
C2×#650832
C2×#32585