Finite Group Databasebeta

← C2×#10611303 #12979045

Subgroups — C2×#10611303 #12979045

Order 1280.

1950 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65893C211yesmaximal, characteristic, complemented
2C2×#65873C211yesmaximal, characteristic, complemented
3C2×C4×C5×D8C211yesmaximal, characteristic, complemented
4C2×#65442C211yesmaximal, characteristic, complemented
5C2×#65439C211yesmaximal, characteristic
6C2×#65305C211yesmaximal, characteristic, complemented
7C2×#65298C211yesmaximal, characteristic, complemented
8#10611303C2116yesmaximal, direct product factor
9C2×#65166C211yesmaximal, characteristic, complemented
10C2×#65179C211yesmaximal, characteristic, complemented
11C2×#65053C211yesmaximal, characteristic, complemented
12C2×#65054C211yesmaximal, characteristic, complemented
13C2×#65074C211yesmaximal, characteristic, complemented
14C2×#65046C211yesmaximal, characteristic, complemented
15C2×#64986C211yesmaximal, characteristic, complemented
16C2×#64968C211yesmaximal, characteristic, complemented
17C22×C5×D8C2211yescharacteristic
18C2×C4×C5×D4C2211yescharacteristic
19C2×C4×C5×D4C2211yescharacteristic
20C2×#4086C2211yescharacteristic
21C2×#4082C2211yescharacteristic
22C2×D4×Dic5C2211yescharacteristic
23C2×D4×Dic5C2211yescharacteristic
24C22×#687C2211yescharacteristic
25C22×#686C2211yescharacteristic
26C2×#4075—21no—
27C2×C4×C22⋊D5—21no—
28C2×#4070—21no—
29C22×#683—21no—
30#65893—24no—
31#65893C2218yescomplemented
32#65873—24no—
33#65873C2218yescomplemented
34C2×#4039C2211yescharacteristic
35C2×#4036C2211yescharacteristic
36C2×#4034C2211yescharacteristic
37C2×#4033C2211yescharacteristic
38C2×#4031—21no—
39C2×#4029—21no—
40C2×#4024—21no—
41C2×#4024—21no—
42C2×#4021C2211yescharacteristic
43C2×#4016C2211yescharacteristic
44C2×C4×Dic10C2211yescharacteristic
45C4×C5×D8C2218yescomplemented
46C2×C5×#107C2211yescharacteristic
47C2×C5×#102C2211yescharacteristic
48C2×C5×#102C2211yescharacteristic
49C2×C4×C5×C8C2211yescharacteristic
50C2×#3964C2211yescharacteristic
51C2×#3964C2211yescharacteristic
52#65442C2218yescomplemented
53#65439C2218yes—
54C2×#3953C2211yescharacteristic
55C2×#3953C2211yescharacteristic
56C2×#3948C2211yescharacteristic
57C2×#3948C2211yescharacteristic
58C2×#3947C2211yescharacteristic
59C2×#3947C2211yescharacteristic
60C2×#3946C2211yescharacteristic
61C2×#3946C2211yescharacteristic
62#65305C2218yescomplemented
63#65298C2218yescomplemented
64C2×#3942C2211yescharacteristic
65C2×#3941C2211yescharacteristic
66C2×#3940C2211yescharacteristic
67C2×#3939C2211yescharacteristic
68C2×C4⋊#168C2211yescharacteristic
69#65179C2218yescomplemented
70#65166C2218yescomplemented
71#65074C2218yescomplemented
72#65054C2218yescomplemented
73#65053C2218yescomplemented
74#65046C2218yescomplemented
75#64986C2218yescomplemented
76#64968C2218yescomplemented
77C2×#3370—51nomaximal, Sylow
78C22×C5×D4C2311yescharacteristic
79C22×C5×D4C2311yescharacteristic
80C23×C4×C5—21no—
81C23×C4×C5—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×Dic10D411yescharacteristic
90C22×Dic10C2311yescharacteristic
91C2×C5×D8—24no—
92C2×C5×D8C2314yes—
93C22×C5×C8C2311yescharacteristic
94C22×C5×C8C2311yescharacteristic
95C4×C5×D4—22no—
96C4×C5×D4—22no—
97C4×C5×D4C2314yes—
98C4×C5×D4C2314yes—
99C2×C5×C4⋊C4C2311yescharacteristic
100C2×C5×C4⋊C4C2311yescharacteristic
101C2×C5×C22⋊C4—21no—
102C2×C5×C22⋊C4—21no—
103C2×C42×C5C2311yescharacteristic
104C2×C22⋊Dic5—21no—
105C2×C22⋊Dic5—21no—
106C2×C22⋊Dic5—21no—
107C2×C22⋊Dic5—21no—
108#4086—22no—
109#4086C2314yes—
110#4082—22no—
111#4082C2314yes—
112D4×Dic5—22no—
113D4×Dic5—22no—
114D4×Dic5C2314yes—
115D4×Dic5C2314yes—
116C2×#687—24no—
117C2×#687C2314yes—
118C2×#686—24no—
119C2×#686C2314yes—
120#4075—28no—
121C4×C22⋊D5—28no—
122C2×#685—21no—
123C2×#685—21no—
124C2×#685—21no—
125C2×C4⋊Dic5—21no—
126C2×C4⋊Dic5D411yescharacteristic
127C2×C4⋊Dic5C2311yescharacteristic
128C2×C4⋊Dic5C2311yescharacteristic
129#4070—28no—
130C2×#683—21no—
131C2×#683—21no—
132C2×#683—21no—
133C2×#683—21no—
134C2×#683—21no—
135C2×#683—28no—
136C2×#683D411yescharacteristic
137C2×#683D411yescharacteristic
138C2×C4×Dic5—21no—
139C2×C4×Dic5C2311yescharacteristic
140C2×C4×Dic5C2311yescharacteristic
141C22×#168C2311yescharacteristic
142C22×#168C2311yescharacteristic
143#4039—22no—
144#4039C2314yes—
145#4036—22no—
146#4036C2314yes—
147#4034—22no—
148#4034C2314yes—
149#4033—22no—
150#4033C2314yes—
151#4031—28no—
152#4029—28no—
153#4024—28no—
154#4024—28no—
155#4021—22no—
156#4021C2314yes—
157#4016—22no—
158#4016C2314yes—
159C4×Dic10D414yes—
160C4×Dic10C2314yes—
161C5×#107C2314yes—
162C5×#102C2314yes—
163C5×#102C2314yes—
164C4×C5×C8C2314yes—
165#3964C2314yes—
166#3964C2314yes—
167#3953C2314yes—
168#3953C2314yes—
169#3948C2314yes—
170#3948C2314yes—
171#3947C2314yes—
172#3947C2314yes—
173#3946C2314yes—
174#3946C2314yes—
175#3942C2314yes—
176#3941C2314yes—
177#3940C2314yes—
178#3939C2314yes—
179C4⋊#168C2314yes—
180C2×#559—51no—
181C2×#554—51no—
182#3370—516no—
183C2×#490—51no—
184C2×#489—51no—
185C2×#488—51no—
186C2×#479—51no—
187C2×#478—51no—
188C2×#474—51no—
189C2×#463—51no—
190C2×#463—51no—
191C2×#459—51no—
192C2×#446—51no—
193C2×#442—51no—
194C2×#440—51no—
195C2×C4×D8D511yescharacteristic, complemented
196C24×C5—21no—
197C24×C5—21no—
198C23×D5—21no—
199C2×C5×D4—21no—
200C2×C5×D4—21no—
201C2×C5×D4—22no—
202C2×C5×D4—22no—
203C2×C5×D4—22no—
204C2×C5×D4#4114yes—
205C2×C5×D4C2412yes—
206C2×C5×D4C2412yes—
207C22×C4×C5—21no—
208C22×C4×C5—21no—
209C22×C4×C5—24no—
210C22×C4×C5—24no—
211C22×C4×C5—82no—
212C22×C4×C5—82no—
213C22×C4×C5C2×D411yescharacteristic
214C22×C4×C5C2×D411yescharacteristic
215C22×C4×C5C2411yescharacteristic
216C2×C22⋊D5—24no—
217C2×C22⋊D5—24no—
218C2×C22⋊D5—44no—
219C2×C22⋊D5—82no—
220C22×Dic5—21no—
221C22×Dic5—21no—
222C22×Dic5—21no—
223C22×Dic5—24no—
224C22×Dic5—24no—
225C22×Dic5—44no—
226C22×Dic5—82no—
227C22×Dic5C2×D411yescharacteristic
228C22×Dic5C2×D411yescharacteristic
229C22×Dic5C2×D411yescharacteristic
230C22×Dic5C2×D411yescharacteristic
231C2×D20—22no—
232C2×D20—22no—
233C2×D20—21no—
234C2×D20C2412yes—
235C2×C4×D5—24no—
236C2×C4×D5—82no—
237C2×Dic10—22no—
238C2×Dic10—22no—
239C2×Dic10—21no—
240C2×Dic10—24no—
241C2×Dic10—42no—
242C2×Dic10—82no—
243C2×Dic10C2×D414yes—
244C2×Dic10C2412yes—
245C5×D8—28no—
246C2×C5×C8—22no—
247C2×C5×C8—22no—
248C2×C5×C8C2412yes—
249C2×C5×C8C2412yes—
250C5×C4⋊C4—21no—
251C5×C4⋊C4—21no—
252C5×C4⋊C4C2412yes—
253C5×C4⋊C4C2412yes—
254C5×C22⋊C4—24no—
255C5×C22⋊C4—24no—
256C42×C5C2×D412yes—
257C42×C5C2412yes—
258C22⋊Dic5—24no—
259C22⋊Dic5—24no—
260C22⋊Dic5—24no—
261C22⋊Dic5—24no—
262#687—28no—
263#686—28no—
264#685—24no—
265#685—24no—
266#685—24no—
267C4⋊Dic5—21no—
268C4⋊Dic5—21no—
269C4⋊Dic5—24no—
270C4⋊Dic5C2×D414yes—
271C4⋊Dic5C2412yes—
272C4⋊Dic5C2412yes—
273#683—24no—
274#683—24no—
275#683—24no—
276#683—24no—
277#683—24no—
278#683C2×D414yes—
279#683C2×D414yes—
280C4×Dic5—24no—
281C4×Dic5C2×D412yes—
282C4×Dic5C2×D412yes—
283C4×Dic5C2412yes—
284C4×Dic5C2412yes—
285C2×#168—22no—
286C2×#168—22no—
287C2×#168C2412yes—
288C2×#168C2412yes—
289C22×SD16—51no—
290C22×D8—51no—
291C22×D8C2×D511yescharacteristic
292#559—58no—
293#559—104no—
294#554—58no—
295#554—104no—
296C2×C4⋊Q8—51no—
297C2×#127—51no—
298C2×#125—51no—
299C2×#125—51no—
300C2×#124—51no—
301C2×#124—51no—
302C2×#124—101no—
303C2×#123—101no—
304C2×#123—101no—
305C2×C22⋊Q8—101no—
306C2×C22⋊Q8—101no—
307C2×C22⋊Q8—101no—
308C2×C4×Q8—51no—
309C2×C4×Q8—51no—
310C2×C4×D4—51no—
311C2×C4×D4—51no—
312C2×C4×D4—51no—
313C2×C4×D4—101no—
314C2×C4×D4C2×D511yescharacteristic
315C2×C4×D4C2×D511yescharacteristic
316C22×C4⋊C4—101no—
317#490—58no—
318#489—58no—
319#488—58no—
320#479—58no—
321#478—58no—
322#474—58no—
323#463—58no—
324#463—58no—
325#459—58no—
326#446—58no—
327#442—58no—
328#440—58no—
329C4×D8C2×D518yescomplemented
330C2×#107—51no—
331C2×#107C2×D511yescharacteristic
332C2×#106—51no—
333C2×C4⋊C8—51no—
334C2×C4⋊C8—51no—
335C2×C4⋊C8—51no—
336C2×#103—51no—
337C2×#103—51no—
338C2×#103—51no—
339C2×#102—51no—
340C2×#102—51no—
341C2×#102—51no—
342C2×#102—51no—
343C2×#102—51no—
344C2×#102C2×D511yescharacteristic
345C2×#102C2×D511yescharacteristic
346C2×#97—51no—
347C2×#97—51no—
348C2×C4×C8C2×D511yescharacteristic
349C23×C5—24no—
350C23×C5—22no—
351C23×C5—22no—
352C23×C5—42no—
353C23×C5—42no—
354C23×C5—42no—
355C23×C5—42no—
356C23×C5—42no—
357C23×C5C22×D411yescharacteristic
358C22×D5—22no—
359C22×D5—42no—
360C22×D5—42no—
361C22×D5—42no—
362C5×D4—24no—
363C5×D4—22no—
364C5×D4—22no—
365C5×D4—22no—
366C5×D4—42no—
367C5×D4C2×#4114yes—
368C2×C4×C5—22no—
369C2×C4×C5—22no—
370C2×C4×C5—22no—
371C2×C4×C5—22no—
372C2×C4×C5—42no—
373C2×C4×C5—42no—
374C2×C4×C5—84no—
375C2×C4×C5—84no—
376C2×C4×C5C22×D412yes—
377C2×C4×C5C22×D412yes—
378C2×C4×C5C22×D411yescharacteristic
379C2×C4×C5C2×#4112yes—
380C2×C4×C52−1+412yes—
381C2×C4×C5C2511yescharacteristic
382C22⋊D5—48no—
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—48no—
392C2×Dic5—42no—
393C2×Dic5—42no—
394C2×Dic5—42no—
395C2×Dic5—84no—
396C2×Dic5C22×D412yes—
397C2×Dic5C22×D412yes—
398C2×Dic5C22×D412yes—
399C2×Dic5C22×D412yes—
400D20—22no—
401D20—22no—
402D20—42no—
403C4×D5—84no—
404Dic10—22no—
405Dic10—22no—
406Dic10—44no—
407Dic10—42no—
408Dic10—84no—
409C5×C8—22no—
410C5×C8—22no—
411#168—22no—
412#168—22no—
413C22×Q8—51no—
414C22×Q8—51no—
415C22×Q8—101no—
416C22×D4—51no—
417C22×D4—101no—
418C22×D4—101no—
419C22×D4C22×D511yescharacteristic
420C22×D4C22×D511yescharacteristic
421C23×C4—21no—
422C23×C4—21no—
423C23×C4—101no—
424C23×C4—101no—
425C23×C4—101no—
426C2×SD16—54no—
427C2×SD16—104no—
428C2×D8—24no—
429C2×D8—54no—
430C2×D8—104no—
431C2×D8C22×D514yes—
432C22×C8—51no—
433C22×C8—51no—
434C22×C8C22×D511yescharacteristic
435C22×C8C22×D511yescharacteristic
436C4⋊Q8—54no—
437C4⋊Q8—102no—
438#127—54no—
439#127—102no—
440#125—54no—
441#125—54no—
442#125—102no—
443#125—102no—
444#124—54no—
445#124—54no—
446#124—102no—
447#124—108no—
448#124—102no—
449#123—108no—
450#123—108no—
451C22⋊Q8—108no—
452C22⋊Q8—108no—
453C22⋊Q8—108no—
454C4×Q8—54no—
455C4×Q8—54no—
456C4×Q8—54no—
457C4×Q8—102no—
458C4×D4—22no—
459C4×D4—22no—
460C4×D4—54no—
461C4×D4—54no—
462C4×D4—54no—
463C4×D4—102no—
464C4×D4—102no—
465C4×D4—102no—
466C4×D4—108no—
467C4×D4C22×D514yes—
468C4×D4C22×D514yes—
469C2×C4⋊C4—51no—
470C2×C4⋊C4—51no—
471C2×C4⋊C4—51no—
472C2×C4⋊C4—51no—
473C2×C4⋊C4—51no—
474C2×C4⋊C4—108no—
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⋊C4C22×D511yescharacteristic
482C2×C4⋊C4C22×D511yescharacteristic
483C2×C22⋊C4—21no—
484C2×C22⋊C4—21no—
485C2×C22⋊C4—101no—
486C2×C22⋊C4—101no—
487C2×C22⋊C4—101no—
488C2×C22⋊C4—101no—
489C2×C22⋊C4—101no—
490C2×C22⋊C4—101no—
491C2×C22⋊C4—101no—
492C2×C42—51no—
493C2×C42—51no—
494C2×C42—101no—
495C2×C42C22×D511yescharacteristic
496#107—54no—
497#107C22×D514yes—
498#106—54no—
499C4⋊C8—54no—
500C4⋊C8—54no—
501C4⋊C8—54no—
502#103—54no—
503#103—54no—
504#103—54no—
505#102—54no—
506#102—54no—
507#102—54no—
508#102—54no—
509#102—54no—
510#102C22×D514yes—
511#102C22×D514yes—
512#97—54no—
513#97—54no—
514C4×C8C22×D514yes—
515C22×C5—24no—
516C22×C5—48no—
517C22×C5—42no—
518C22×C5—42no—
519C22×C5—42no—
520C22×C5—42no—
521C22×C5—42no—
522C22×C5—84no—
523C22×C5#54812yes—
524C22×C5#57512yes—
525C22×C5#57612yes—
526C22×C5C23×D411yescharacteristic
527C2×D5—42no—
528C2×D5—42no—
529C2×D5—42no—
530C2×D5—84no—
531C4×C5—22no—
532C4×C5—22no—
533C4×C5—42no—
534C4×C5—42no—
535C4×C5#54812yes—
536C4×C5C22×#4111yescharacteristic
537C4×C5C2×2−1+411yescharacteristic
538Dic5—22no—
539Dic5—22no—
540Dic5—22no—
541Dic5—22no—
542Dic5—42no—
543Dic5—42no—
544Dic5—42no—
545C24—21no—
546C24—21no—
547C24—101no—
548C2×Q8—54no—
549C2×Q8—52no—
550C2×Q8—104no—
551C2×Q8—101no—
552C2×Q8—102no—
553C2×Q8—102no—
554C2×Q8—202no—
555C2×Q8—402no—
556C2×D4—22no—
557C2×D4—21no—
558C2×D4—21no—
559C2×D4—22no—
560C2×D4—22no—
561C2×D4—52no—
562C2×D4—104no—
563C2×D4—104no—
564C2×D4—102no—
565C2×D4—101no—
566C2×D4—102no—
567C2×D4—204no—
568C2×D4—402no—
569C2×D4#70914yes—
570C2×D4C23×D512yes—
571C2×D4C23×D512yes—
572C22×C4—21no—
573C22×C4—21no—
574C22×C4—24no—
575C22×C4—24no—
576C22×C4—51no—
577C22×C4—51no—
578C22×C4—51no—
579C22×C4—51no—
580C22×C4—82no—
581C22×C4—82no—
582C22×C4—104no—
583C22×C4—104no—
584C22×C4—104no—
585C22×C4—101no—
586C22×C4—101no—
587C22×C4—101no—
588C22×C4—204no—
589C22×C4—402no—
590C22×C4—402no—
591C22×C4D4×D511yescharacteristic
592C22×C4D4×D511yescharacteristic
593C22×C4C23×D511yescharacteristic
594SD16—108no—
595D8—28no—
596D8—108no—
597C2×C8—22no—
598C2×C8—22no—
599C2×C8—52no—
600C2×C8—52no—
601C2×C8—102no—
602C2×C8—102no—
603C2×C8C23×D512yes—
604C2×C8C23×D512yes—
605C4⋊C4—21no—
606C4⋊C4—21no—
607C4⋊C4—54no—
608C4⋊C4—54no—
609C4⋊C4—54no—
610C4⋊C4—52no—
611C4⋊C4—52no—
612C4⋊C4—104no—
613C4⋊C4—104no—
614C4⋊C4—104no—
615C4⋊C4—104no—
616C4⋊C4—101no—
617C4⋊C4—101no—
618C4⋊C4—104no—
619C4⋊C4—104no—
620C4⋊C4C23×D512yes—
621C4⋊C4C23×D512yes—
622C22⋊C4—24no—
623C22⋊C4—24no—
624C22⋊C4—104no—
625C22⋊C4—104no—
626C22⋊C4—104no—
627C22⋊C4—104no—
628C22⋊C4—104no—
629C22⋊C4—104no—
630C22⋊C4—104no—
631C42—52no—
632C42—52no—
633C42—52no—
634C42—52no—
635C42—104no—
636C42D4×D512yes—
637C42C23×D512yes—
638C2×C5—44no—
639C2×C5—82no—
640C2×C5#337014yescomplemented
641C2×C5C2×#54811yescharacteristic
642C2×C5C2×#57511yescharacteristic
643C2×C5C2×#57611yescharacteristic
644D5—82no—
645C23—24no—
646C23—22no—
647C23—22no—
648C23—42no—
649C23—42no—
650C23—42no—
651C23—42no—
652C23—42no—
653C23—102no—
654C23—202no—
655C23—202no—
656C23—202no—
657C23C2×D4×D511yescharacteristic
658Q8—102no—
659Q8—102no—
660Q8—204no—
661Q8—202no—
662Q8—404no—
663D4—24no—
664D4—22no—
665D4—22no—
666D4—22no—
667D4—42no—
668D4—102no—
669D4—102no—
670D4—208no—
671D4—202no—
672D4—404no—
673D4C2×#70914yes—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—52no—
681C2×C4—52no—
682C2×C4—52no—
683C2×C4—52no—
684C2×C4—84no—
685C2×C4—84no—
686C2×C4—102no—
687C2×C4—102no—
688C2×C4—102no—
689C2×C4—102no—
690C2×C4—102no—
691C2×C4—102no—
692C2×C4—102no—
693C2×C4—208no—
694C2×C4—202no—
695C2×C4—202no—
696C2×C4—202no—
697C2×C4—404no—
698C2×C4—404no—
699C2×C4C2×#70912yes—
700C2×C4C2×D4×D512yes—
701C2×C4C2×D4×D512yes—
702C2×C4C2×D4×D511yescharacteristic
703C2×C4#415012yes—
704C2×C4C24×D511yescharacteristic
705C8—22no—
706C8—22no—
707C8—102no—
708C8—102no—
709C5C2×#337011yescharacteristic, complemented, Sylow
710C22—24no—
711C22—48no—
712C22—42no—
713C22—42no—
714C22—42no—
715C22—42no—
716C22—42no—
717C22—84no—
718C22—202no—
719C22—202no—
720C22—202no—
721C22—404no—
722C22#6588612yes—
723C22#6609112yes—
724C22#6610212yes—
725C22C22×D4×D511yescharacteristic
726C4—22no—
727C4—22no—
728C4—42no—
729C4—42no—
730C4—102no—
731C4—102no—
732C4—102no—
733C4—102no—
734C4—202no—
735C4—202no—
736C4—202no—
737C4#6588612yes—
738C4C22×#70911yescharacteristic
739C4C2×#415011yescharacteristic
740C2—44no—
741C2—82no—
742C2—402no—
743C2#1061130314yesdirect product factor
744C2C2×#6588611yescharacteristic
745C2C2×#6609111yescharacteristic
746C2C2×#6610211yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C4×C5×D8C2
socleC23×C5C22×D4
prime radicalC2×#65439C2
hypercenterC2×C4×D8D5
hypocenterC5C2×#3370
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C4×D8

Complements

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

NH ≅ G/Ntype
1. C2×#65893C2semidirect
2. C2×#65873C2semidirect
3. C2×C4×C5×D8C2semidirect
4. C2×#65442C2semidirect
6. C2×#65305C2semidirect
7. C2×#65298C2semidirect
8. #10611303C2direct (N × H)
9. C2×#65166C2semidirect
10. C2×#65179C2semidirect
11. C2×#65053C2semidirect
12. C2×#65054C2semidirect
13. C2×#65074C2semidirect
14. C2×#65046C2semidirect
15. C2×#64986C2semidirect
16. C2×#64968C2semidirect
31. #65893C22semidirect
33. #65873C22semidirect
45. C4×C5×D8C22semidirect
52. #65442C22semidirect
62. #65305C22semidirect
63. #65298C22semidirect
69. #65179C22semidirect
70. #65166C22semidirect
71. #65074C22semidirect
72. #65054C22semidirect
73. #65053C22semidirect
74. #65046C22semidirect
75. #64986C22semidirect
76. #64968C22semidirect
195. C2×C4×D8D5semidirect
329. C4×D8C2×D5semidirect
640. C2×C5#3370semidirect
709. C5C2×#3370semidirect
743. C2#10611303direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#658932
C2×#658732
C2×C4×C5×D82
C2×#654422
C2×#654392
C2×#653052
C2×#652982
#106113032
C2×#651662
C2×#651792
C2×#650532
C2×#650542
C2×#650742
C2×#650462
C2×#649862
C2×#649682
C2×#33705