Finite Group Databasebeta

← C2×#10612370 #12969216

Subgroups — C2×#10612370 #12969216

Order 1280.

1998 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×#65956C211yesmaximal, characteristic, complemented
2C2×#65934C211yesmaximal, characteristic
3C2×C5×#465C211yesmaximal, characteristic
4C2×#65456C211yesmaximal, characteristic, complemented
5C2×#65453C211yesmaximal, characteristic, complemented
6C2×#65405C211yesmaximal, characteristic, complemented
7C22×#3947C211yesmaximal, characteristic, complemented
8C2×#65340C211yesmaximal, characteristic, complemented
9C2×#65330C211yesmaximal, characteristic
10#10612370C2116yesmaximal, direct product factor
11C2×#65145C211yesmaximal, characteristic, complemented
12C2×#65142C211yesmaximal, characteristic, complemented
13C2×#65086C211yesmaximal, characteristic, complemented
14C2×#65078C211yesmaximal, characteristic, complemented
15C2×#65054C211yesmaximal, characteristic, complemented
16C2×#65046C211yesmaximal, characteristic, complemented
17C22×C5×SD16C2211yescharacteristic
18C23×C5×C8C2211yescharacteristic
19C2×C5×C22⋊Q8C2211yescharacteristic
20C2×C5×#121C2211yescharacteristic
21C2×Q8×Dic5C2211yescharacteristic
22C2×#4090C2211yescharacteristic
23C22×#689C2211yescharacteristic
24C2×#4082C2211yescharacteristic
25C2×#4081—21no—
26C2×D4×Dic5—21no—
27C2×D4×Dic5C2211yescharacteristic
28C22×#687C2211yescharacteristic
29C2×#4070C2211yescharacteristic
30C2×#4070C2211yescharacteristic
31C22×C4×Dic5C2211yescharacteristic
32C23×#168C2211yescharacteristic
33C22×Dic20C2211yescharacteristic
34#65956—24no—
35#65956C2218yescomplemented
36#65934—24no—
37#65934C2218yes—
38C2×#4036C2211yescharacteristic
39C2×#4035—21no—
40C2×#4034C2211yescharacteristic
41C2×#4033—21no—
42C2×#4033C2211yescharacteristic
43C2×#4033C2211yescharacteristic
44C2×#4025—21no—
45C2×#4024—21no—
46C2×#4023—21no—
47C2×#4023—21no—
48C5×#465C2218yes—
49C2×C5×#106C2211yescharacteristic
50C2×C5×#103C2211yescharacteristic
51C2×C5×#102C2211yescharacteristic
52C2×#3967C2211yescharacteristic
53C2×#3964C2211yescharacteristic
54#65456C2218yescomplemented
55#65453C2218yescomplemented
56#65405C2218yescomplemented
57C2×#3950C2211yescharacteristic
58C2×#3948C2211yescharacteristic
59C2×#3948C2211yescharacteristic
60C2×#3947C2211yescharacteristic
61C2×#3947C2211yescharacteristic
62C2×#3947C2211yescharacteristic
63C2×#3947C2211yescharacteristic
64C2×#3947C2218yescomplemented
65#65340C2218yescomplemented
66#65330C2218yes—
67C2×#3942C2211yescharacteristic
68C2×#3942C2211yescharacteristic
69C2×#3940C2211yescharacteristic
70C2×#3939C2211yescharacteristic
71#65145C2218yescomplemented
72#65142C2218yescomplemented
73#65086C2218yescomplemented
74#65078C2218yescomplemented
75#65054C2218yescomplemented
76#65046C2218yescomplemented
77C2×#3181—51nomaximal, Sylow
78C22×C5×Q8C2311yescharacteristic
79C22×C5×D4—21no—
80C22×C5×D4C2311yescharacteristic
81C23×C4×C5C2311yescharacteristic
82C23×Dic5—21no—
83C23×Dic5D411yescharacteristic
84C23×Dic5D411yescharacteristic
85C22×Dic10—21no—
86C22×Dic10C2311yescharacteristic
87C22×Dic10C2311yescharacteristic
88C2×C5×SD16—24no—
89C2×C5×SD16C2314yes—
90C22×C5×C8—24no—
91C22×C5×C8C2311yescharacteristic
92C22×C5×C8C2314yes—
93C22×C5×C8C2311yescharacteristic
94C5×C22⋊Q8—22no—
95C5×C22⋊Q8C2314yes—
96C5×#121—22no—
97C5×#121C2314yes—
98C2×C5×C4⋊C4—21no—
99C2×C5×C4⋊C4C2311yescharacteristic
100C2×C5×C4⋊C4C2311yescharacteristic
101C2×C5×C22⋊C4—21no—
102C2×C5×C22⋊C4—21no—
103C2×C22⋊Dic5—21no—
104C2×C22⋊Dic5—21no—
105C2×C22⋊Dic5—21no—
106C2×C22⋊Dic5—21no—
107C2×C22⋊Dic5—21no—
108Q8×Dic5—22no—
109Q8×Dic5C2314yes—
110#4090—22no—
111#4090C2314yes—
112C2×#689—24no—
113C2×#689C2314yes—
114#4082—22no—
115#4082C2314yes—
116#4081—28no—
117D4×Dic5—28no—
118D4×Dic5—22no—
119D4×Dic5C2314yes—
120C2×#687—24no—
121C2×#687C2314yes—
122C2×C4⋊Dic5—21no—
123C2×C4⋊Dic5—21no—
124C2×C4⋊Dic5C2311yescharacteristic
125C2×C4⋊Dic5C2311yescharacteristic
126#4070—22no—
127#4070—22no—
128#4070C2314yes—
129#4070C2314yes—
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×Dic5—21no—
141C2×C4×Dic5D411yescharacteristic
142C2×C4×Dic5D411yescharacteristic
143C2×C4×Dic5D414yes—
144C2×C4×Dic5C2311yescharacteristic
145C2×C4×Dic5C2311yescharacteristic
146C2×C4×Dic5C2314yes—
147C22×#168—24no—
148C22×#168C2314yes—
149C22×#168C2311yescharacteristic
150C22×#168C2311yescharacteristic
151C2×Dic20—24no—
152C2×Dic20C2314yes—
153#4036—22no—
154#4036C2314yes—
155#4035—28no—
156#4034—22no—
157#4034C2314yes—
158#4033—28no—
159#4033—22no—
160#4033—22no—
161#4033C2314yes—
162#4033C2314yes—
163#4025—28no—
164#4024—28no—
165#4023—28no—
166#4023—28no—
167C5×#106C2314yes—
168C5×#103C2314yes—
169C5×#102C2314yes—
170#3967C2314yes—
171#3964C2314yes—
172#3950C2314yes—
173#3948C2314yes—
174#3948C2314yes—
175#3947C2314yes—
176#3947C2314yes—
177#3947C2314yes—
178#3947C2314yes—
179#3942C2314yes—
180#3942C2314yes—
181#3940C2314yes—
182#3939C2314yes—
183C2×#533—51no—
184C2×#529—51no—
185#3181—516no—
186C2×#501—51no—
187C2×#497—51no—
188C2×#491—51no—
189C2×#489—51no—
190C2×#467—51no—
191C2×#467—51no—
192C2×#465—51no—
193C2×#465D511yescharacteristic
194C2×#441—51no—
195C2×#441—51no—
196C2×#440—51no—
197C2×#440—51no—
198C22×#97—51no—
199C24×C5—21no—
200C24×C5C2×D411yescharacteristic
201C2×C5×Q8—21no—
202C2×C5×Q8—22no—
203C2×C5×Q8—22no—
204C2×C5×Q8C2412yes—
205C2×C5×D4—24no—
206C2×C5×D4—21no—
207C2×C5×D4—22no—
208C2×C5×D4—22no—
209C2×C5×D4—44no—
210C2×C5×D4C2412yes—
211C22×C4×C5—22no—
212C22×C4×C5—22no—
213C22×C4×C5—21no—
214C22×C4×C5—21no—
215C22×C4×C5—21no—
216C22×C4×C5C2×D411yescharacteristic
217C22×C4×C5C2×D412yes—
218C22×C4×C5C2412yes—
219C22×C4×C5C2411yescharacteristic
220C22×Dic5—24no—
221C22×Dic5—21no—
222C22×Dic5—21no—
223C22×Dic5—21no—
224C22×Dic5—21no—
225C22×Dic5—24no—
226C22×Dic5—42no—
227C22×Dic5—44no—
228C22×Dic5C2×D411yescharacteristic
229C22×Dic5C2×D411yescharacteristic
230C22×Dic5C2×D411yescharacteristic
231C22×Dic5C2×D411yescharacteristic
232C22×Dic5C2×D414yes—
233C22×Dic5C2×D414yes—
234C2×Dic10—22no—
235C2×Dic10—22no—
236C2×Dic10—22no—
237C2×Dic10—22no—
238C2×Dic10—21no—
239C2×Dic10—21no—
240C2×Dic10—24no—
241C2×Dic10—44no—
242C2×Dic10C2412yes—
243C2×Dic10C2412yes—
244C5×SD16—28no—
245C2×C5×C8—22no—
246C2×C5×C8—28no—
247C2×C5×C8#4114yes—
248C2×C5×C8C2412yes—
249C2×C5×C8C2412yes—
250C5×C4⋊C4—24no—
251C5×C4⋊C4—21no—
252C5×C4⋊C4—21no—
253C5×C4⋊C4C2412yes—
254C5×C4⋊C4C2412yes—
255C5×C22⋊C4—24no—
256C5×C22⋊C4—24no—
257C22⋊Dic5—24no—
258C22⋊Dic5—24no—
259C22⋊Dic5—24no—
260C22⋊Dic5—24no—
261C22⋊Dic5—24no—
262#689—28no—
263#687—28no—
264C4⋊Dic5—21no—
265C4⋊Dic5—21no—
266C4⋊Dic5—24no—
267C4⋊Dic5—24no—
268C4⋊Dic5C2412yes—
269C4⋊Dic5C2412yes—
270#683—24no—
271#683—24no—
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×D414yes—
282C4×Dic5C2×D414yes—
283C4×Dic5C2×D412yes—
284C4×Dic5C2×D412yes—
285C4×Dic5C2412yes—
286C4×Dic5C2412yes—
287C2×#168—22no—
288C2×#168—28no—
289C2×#168#4114yes—
290C2×#168C2412yes—
291C2×#168C2412yes—
292Dic20—28no—
293C22×Q16—51no—
294C22×Q16—51no—
295C22×SD16—51no—
296C22×SD16C2×D511yescharacteristic
297C23×C8—51no—
298C23×C8C2×D511yescharacteristic
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×#124—51no—
309C2×#123—101no—
310C2×C22⋊Q8—51no—
311C2×C22⋊Q8—51no—
312C2×C22⋊Q8—101no—
313C2×C22⋊Q8C2×D511yescharacteristic
314C2×#121C2×D511yescharacteristic
315C2×C4×Q8—51no—
316C2×C4×Q8—51no—
317C2×C4×Q8—51no—
318C2×C4×Q8—101no—
319C2×C4×D4—51no—
320C2×C4×D4—101no—
321C2×#117—101no—
322C2×#117—101no—
323C22×C42—51no—
324#501—58no—
325#497—58no—
326#491—58no—
327#489—58no—
328#467—58no—
329#467—58no—
330#465—58no—
331#465C2×D518yes—
332#441—58no—
333#441—58no—
334#440—58no—
335#440—58no—
336C2×#107—51no—
337C2×#107—51no—
338C2×#106—51no—
339C2×#106C2×D511yescharacteristic
340C2×#103—51no—
341C2×#103—51no—
342C2×#103—51no—
343C2×#103—51no—
344C2×#103—51no—
345C2×#103C2×D511yescharacteristic
346C2×#102—51no—
347C2×#102C2×D511yescharacteristic
348C2×#97—51no—
349C2×#97—51no—
350C2×#97—58no—
351C2×#97—51no—
352C2×#97—51no—
353C23×C5—22no—
354C23×C5—22no—
355C23×C5—22no—
356C23×C5—42no—
357C23×C5—42no—
358C23×C5—42no—
359C23×C5#13714yes—
360C23×C5C22×D412yes—
361C23×C5C22×D411yescharacteristic
362C5×Q8—22no—
363C5×Q8—22no—
364C5×Q8—42no—
365C5×D4—22no—
366C5×D4—22no—
367C5×D4—48no—
368C5×D4—42no—
369C2×C4×C5—22no—
370C2×C4×C5—24no—
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×D411yescharacteristic
381C2×C4×C5C2×#4112yes—
382C2×C4×C5C2×#4112yes—
383C2×C4×C5C2511yescharacteristic
384C2×Dic5—28no—
385C2×Dic5—22no—
386C2×Dic5—22no—
387C2×Dic5—22no—
388C2×Dic5—22no—
389C2×Dic5—22no—
390C2×Dic5—22no—
391C2×Dic5—22no—
392C2×Dic5—22no—
393C2×Dic5—44no—
394C2×Dic5—48no—
395C2×Dic5—42no—
396C2×Dic5—42no—
397C2×Dic5—42no—
398C2×Dic5—42no—
399C2×Dic5C22×D412yes—
400C2×Dic5C22×D412yes—
401C2×Dic5C22×D412yes—
402C2×Dic5C22×D412yes—
403Dic10—22no—
404Dic10—22no—
405Dic10—22no—
406Dic10—22no—
407Dic10—48no—
408Dic10—42no—
409Dic10—42no—
410C5×C8—22no—
411C5×C8C2×#4114yes—
412#168—22no—
413#168C2×#4114yes—
414C22×Q8—51no—
415C22×Q8—51no—
416C22×Q8—101no—
417C22×Q8C22×D511yescharacteristic
418C22×D4—21no—
419C22×D4C22×D511yescharacteristic
420C23×C4—51no—
421C23×C4—51no—
422C23×C4—101no—
423C23×C4C22×D511yescharacteristic
424C2×Q16—54no—
425C2×Q16—54no—
426C2×Q16—104no—
427C2×Q16—104no—
428C2×SD16—24no—
429C2×SD16—54no—
430C2×SD16—104no—
431C2×SD16C22×D514yes—
432C22×C8—24no—
433C22×C8—51no—
434C22×C8—51no—
435C22×C8—54no—
436C22×C8—104no—
437C22×C8C22×D511yescharacteristic
438C22×C8C22×D514yes—
439C22×C8C22×D511yescharacteristic
440C4⋊Q8—54no—
441C4⋊Q8—54no—
442C4⋊Q8—102no—
443C4⋊Q8—102no—
444#126—108no—
445#125—54no—
446#125—102no—
447#125—108no—
448#124—54no—
449#124—102no—
450#123—108no—
451C22⋊Q8—22no—
452C22⋊Q8—54no—
453C22⋊Q8—54no—
454C22⋊Q8—108no—
455C22⋊Q8—102no—
456C22⋊Q8—102no—
457C22⋊Q8C22×D514yes—
458#121—22no—
459#121C22×D514yes—
460C4×Q8—54no—
461C4×Q8—54no—
462C4×Q8—54no—
463C4×Q8—102no—
464C4×Q8—102no—
465C4×Q8—108no—
466C4×Q8—102no—
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—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⋊C4—101no—
484C2×C4⋊C4—101no—
485C2×C4⋊C4C22×D511yescharacteristic
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—51no—
495C2×C42—51no—
496C2×C42—54no—
497C2×C42—51no—
498C2×C42—51no—
499C2×C42—54no—
500C2×C42—101no—
501C2×C42—101no—
502C2×C42—101no—
503#107—54no—
504#107—54no—
505#106—54no—
506#106C22×D514yes—
507#103—54no—
508#103—54no—
509#103—54no—
510#103—54no—
511#103—54no—
512#103C22×D514yes—
513#102—54no—
514#102C22×D514yes—
515#97—54no—
516#97—54no—
517#97—54no—
518#97—54no—
519C22×C5—28no—
520C22×C5—22no—
521C22×C5—22no—
522C22×C5—42no—
523C22×C5—42no—
524C22×C5—42no—
525C22×C5—84no—
526C22×C5#53212yes—
527C22×C5C2×#13714yes—
528C22×C5C2×#13712yes—
529C22×C5#57512yes—
530C22×C5C23×D411yescharacteristic
531C4×C5—22no—
532C4×C5—42no—
533C4×C5—42no—
534C4×C5—42no—
535C4×C5#53212yes—
536C4×C5C22×#4111yescharacteristic
537C4×C5C22×#4111yescharacteristic
538Dic5—22no—
539Dic5—22no—
540Dic5—22no—
541Dic5—22no—
542Dic5—42no—
543Dic5—42no—
544Dic5—42no—
545Dic5—42no—
546C24—21no—
547C24D4×D511yescharacteristic
548C2×Q8—21no—
549C2×Q8—22no—
550C2×Q8—22no—
551C2×Q8—52no—
552C2×Q8—52no—
553C2×Q8—104no—
554C2×Q8—101no—
555C2×Q8—101no—
556C2×Q8—102no—
557C2×Q8—102no—
558C2×Q8—102no—
559C2×Q8—102no—
560C2×Q8—204no—
561C2×Q8C23×D512yes—
562C2×D4—24no—
563C2×D4—21no—
564C2×D4—22no—
565C2×D4—22no—
566C2×D4—44no—
567C2×D4C23×D512yes—
568C22×C4—22no—
569C22×C4—22no—
570C22×C4—21no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—54no—
574C22×C4—51no—
575C22×C4—51no—
576C22×C4—51no—
577C22×C4—51no—
578C22×C4—54no—
579C22×C4—104no—
580C22×C4—104no—
581C22×C4—101no—
582C22×C4—101no—
583C22×C4—101no—
584C22×C4—101no—
585C22×C4—202no—
586C22×C4—204no—
587C22×C4D4×D512yes—
588C22×C4D4×D511yescharacteristic
589C22×C4C23×D512yes—
590C22×C4C23×D511yescharacteristic
591Q16—108no—
592Q16—108no—
593SD16—28no—
594SD16—108no—
595C2×C8—22no—
596C2×C8—28no—
597C2×C8—54no—
598C2×C8—52no—
599C2×C8—52no—
600C2×C8—108no—
601C2×C8—102no—
602C2×C8#71114yes—
603C2×C8C23×D512yes—
604C2×C8C23×D512yes—
605C4⋊C4—24no—
606C4⋊C4—21no—
607C4⋊C4—21no—
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—104no—
618C4⋊C4—101no—
619C4⋊C4—101no—
620C4⋊C4—104no—
621C4⋊C4—104no—
622C4⋊C4C23×D512yes—
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—54no—
632C42—52no—
633C42—54no—
634C42—52no—
635C42—52no—
636C42—52no—
637C42—104no—
638C42—104no—
639C42—104no—
640C2×C5—24no—
641C2×C5—82no—
642C2×C5#318114yescomplemented
643C2×C5C2×#53211yescharacteristic
644C2×C5C22×#13711yescharacteristic
645C2×C5C2×#57511yescharacteristic
646C23—22no—
647C23—22no—
648C23—22no—
649C23—42no—
650C23—42no—
651C23—42no—
652C23#406114yes—
653C23C2×D4×D512yes—
654C23C2×D4×D511yescharacteristic
655Q8—22no—
656Q8—22no—
657Q8—42no—
658Q8—102no—
659Q8—102no—
660Q8—102no—
661Q8—102no—
662Q8—208no—
663Q8—202no—
664Q8—202no—
665D4—22no—
666D4—22no—
667D4—48no—
668D4—42no—
669C2×C4—22no—
670C2×C4—24no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—52no—
680C2×C4—52no—
681C2×C4—52no—
682C2×C4—52no—
683C2×C4—108no—
684C2×C4—102no—
685C2×C4—102no—
686C2×C4—102no—
687C2×C4—102no—
688C2×C4—102no—
689C2×C4—102no—
690C2×C4—102no—
691C2×C4—102no—
692C2×C4—204no—
693C2×C4—208no—
694C2×C4—202no—
695C2×C4—202no—
696C2×C4—202no—
697C2×C4—202no—
698C2×C4C2×D4×D512yes—
699C2×C4C2×D4×D511yescharacteristic
700C2×C4C2×#71112yes—
701C2×C4D5×#4112yes—
702C2×C4C24×D511yescharacteristic
703C8—22no—
704C8—54no—
705C8—102no—
706C8C2×#71114yes—
707C5C2×#318111yescharacteristic, complemented, Sylow
708C22—28no—
709C22—22no—
710C22—22no—
711C22—42no—
712C22—42no—
713C22—42no—
714C22—84no—
715C22#6593012yes—
716C22C2×#406114yes—
717C22C2×#406112yes—
718C22#6610212yes—
719C22C22×D4×D511yescharacteristic
720C4—22no—
721C4—42no—
722C4—42no—
723C4—42no—
724C4—102no—
725C4—102no—
726C4—102no—
727C4—102no—
728C4—202no—
729C4—202no—
730C4—202no—
731C4—202no—
732C4#6593012yes—
733C4C22×#71111yescharacteristic
734C4C2×D5×#4111yescharacteristic
735C2—24no—
736C2—82no—
737C2#1061237014yesdirect product factor
738C2C2×#6593011yescharacteristic
739C2C22×#406111yescharacteristic
740C2C2×#6610211yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#465C2
socleC23×C5C22×D4
prime radicalC2×C5×#121C22
hypercenterC2×#465D5
hypocenterC5C2×#3181
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#465

Complements

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

NH ≅ G/Ntype
1. C2×#65956C2semidirect
4. C2×#65456C2semidirect
5. C2×#65453C2semidirect
6. C2×#65405C2semidirect
7. C22×#3947C2semidirect
8. C2×#65340C2semidirect
10. #10612370C2direct (N × H)
11. C2×#65145C2semidirect
12. C2×#65142C2semidirect
13. C2×#65086C2semidirect
14. C2×#65078C2semidirect
15. C2×#65054C2semidirect
16. C2×#65046C2semidirect
35. #65956C22semidirect
54. #65456C22semidirect
55. #65453C22semidirect
56. #65405C22semidirect
64. C2×#3947C22semidirect
65. #65340C22semidirect
71. #65145C22semidirect
72. #65142C22semidirect
73. #65086C22semidirect
74. #65078C22semidirect
75. #65054C22semidirect
76. #65046C22semidirect
642. C2×C5#3181semidirect
707. C5C2×#3181semidirect
737. C2#10612370direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#659562
C2×#659342
C2×C5×#4652
C2×#654562
C2×#654532
C2×#654052
C22×#39472
C2×#653402
C2×#653302
#106123702
C2×#651452
C2×#651422
C2×#650862
C2×#650782
C2×#650542
C2×#650462
C2×#31815