Finite Group Databasebeta

← C2×#10612720 #12977902

Subgroups — C2×#10612720 #12977902

Order 1280.

1962 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66068C211yesmaximal, characteristic, complemented
2C2×#65892C211yesmaximal, characteristic, complemented
3C2×C5×#474C211yesmaximal, characteristic, complemented
4C2×#65369C211yesmaximal, characteristic, complemented
5C2×#65303C211yesmaximal, characteristic, complemented
6#10612720C2116yesmaximal, direct product factor
7C2×#65171C211yesmaximal, characteristic, complemented
8C2×#65170C211yesmaximal, characteristic, complemented
9C2×#65169C211yesmaximal, characteristic, complemented
10C2×#65174C211yesmaximal, characteristic, complemented
11C2×#65136C211yesmaximal, characteristic, complemented
12C2×#65125C211yesmaximal, characteristic, complemented
13C2×#65073C211yesmaximal, characteristic, complemented
14C2×#65071C211yesmaximal, characteristic, complemented
15C2×#65064C211yesmaximal, characteristic, complemented
16C2×#65068C211yesmaximal, characteristic, complemented
17C2×C5×C4⋊Q8C2211yescharacteristic
18C2×C4×C5×D4C2211yescharacteristic
19C2×#4093—21no—
20C2×#4093—21no—
21C2×#4084C2211yescharacteristic
22C2×#4084C2211yescharacteristic
23C22×#686C2211yescharacteristic
24C2×#4075—21no—
25C2×C4×C22⋊D5—21no—
26C22×#676C2211yescharacteristic
27C22×C8×D5C2211yescharacteristic
28#66068—24no—
29#66068C2218yescomplemented
30#65892—24no—
31#65892C2218yescomplemented
32C2×#4041—21no—
33C2×#4041C2211yescharacteristic
34C2×#4041C2211yescharacteristic
35C2×#4038—21no—
36C2×#4038C2211yescharacteristic
37C2×#4038C2211yescharacteristic
38C2×#4038C2211yescharacteristic
39C2×D5×C4⋊C4C2211yescharacteristic
40C2×#4030—21no—
41C2×#4025—21no—
42C2×C4×D20C2211yescharacteristic
43C2×C4×D20C2211yescharacteristic
44C2×#4016C2211yescharacteristic
45C5×#474C2218yescomplemented
46C2×C5×#107C2211yescharacteristic
47C2×C5×#107C2211yescharacteristic
48C2×C5×C4⋊C8C2211yescharacteristic
49C2×C5×#102C2211yescharacteristic
50C2×C5×#102C2211yescharacteristic
51C2×#3964C2211yescharacteristic
52C2×#3953C2211yescharacteristic
53C2×#3953C2211yescharacteristic
54C2×#3952C2211yescharacteristic
55C2×#3952C2211yescharacteristic
56C2×#3950C2211yescharacteristic
57C2×#3949C2211yescharacteristic
58#65369C2218yescomplemented
59#65303C2218yescomplemented
60C2×#3941C2211yescharacteristic
61C2×#3940C2211yescharacteristic
62C2×#3940C2211yescharacteristic
63C2×#3940C2211yescharacteristic
64C2×#3939C2211yescharacteristic
65C2×#3939C2211yescharacteristic
66C2×#3935C2211yescharacteristic
67#65174C2218yescomplemented
68#65171C2218yescomplemented
69#65170C2218yescomplemented
70#65169C2218yescomplemented
71#65136C2218yescomplemented
72#65125C2218yescomplemented
73#65073C2218yescomplemented
74#65071C2218yescomplemented
75#65068C2218yescomplemented
76#65064C2218yescomplemented
77C2×#3347—51nomaximal, Sylow
78C22×C5×Q8—21no—
79C22×C5×D4C2311yescharacteristic
80C23×C4×C5—21no—
81C22×C22⋊D5—21no—
82C22×C22⋊D5—21no—
83C22×D20—21no—
84C22×D20—21no—
85C22×D20D411yescharacteristic
86C22×D20C2311yescharacteristic
87C22×C4×D5—21no—
88C22×C4×D5—21no—
89C22×C4×D5C2311yescharacteristic
90C22×C4×D5C2311yescharacteristic
91C22×C5×C8C2311yescharacteristic
92C22×C5×C8C2311yescharacteristic
93C5×C4⋊Q8—22no—
94C5×C4⋊Q8C2314yes—
95C4×C5×D4—22no—
96C4×C5×D4C2314yes—
97C2×C5×C4⋊C4—21no—
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C4⋊C4C2311yescharacteristic
100C2×C5×C4⋊C4C2311yescharacteristic
101C2×C5×C22⋊C4—21no—
102C2×C42×C5C2311yescharacteristic
103C2×C22⋊Dic5—21no—
104C2×C22⋊Dic5—21no—
105#4093—28no—
106#4093—28no—
107#4084—22no—
108#4084—22no—
109#4084C2314yes—
110#4084C2314yes—
111C2×#686—24no—
112C2×#686C2314yes—
113#4075—28no—
114C4×C22⋊D5—28no—
115C2×#685—21no—
116C2×#685—21no—
117C2×#685—21no—
118C2×#685—21no—
119C2×#685—21no—
120C2×#685—21no—
121C2×#685D411yescharacteristic
122C2×#685D411yescharacteristic
123C2×C4⋊Dic5D411yescharacteristic
124C2×C4⋊Dic5C2311yescharacteristic
125C2×C4⋊Dic5C2311yescharacteristic
126C2×C4⋊Dic5C2311yescharacteristic
127C2×#683—21no—
128C2×#683—21no—
129C2×#683—21no—
130C2×C4×Dic5—21no—
131C2×C4×Dic5—21no—
132C2×C4×Dic5—21no—
133C22×#168C2311yescharacteristic
134C22×#168C2311yescharacteristic
135C2×#676—24no—
136C2×#676C2314yes—
137C2×C8×D5—24no—
138C2×C8×D5C2314yes—
139#4041—28no—
140#4041—22no—
141#4041—22no—
142#4041C2314yes—
143#4041C2314yes—
144#4038—22no—
145#4038—22no—
146#4038—22no—
147#4038—28no—
148#4038C2314yes—
149#4038C2314yes—
150#4038C2314yes—
151D5×C4⋊C4—22no—
152D5×C4⋊C4C2314yes—
153#4030—28no—
154#4025—28no—
155C4×D20—22no—
156C4×D20D414yes—
157C4×D20C2314yes—
158C4×D20C2314yes—
159#4016—22no—
160#4016C2314yes—
161C5×#107C2314yes—
162C5×#107C2314yes—
163C5×C4⋊C8C2314yes—
164C5×#102C2314yes—
165C5×#102C2314yes—
166#3964C2314yes—
167#3953C2314yes—
168#3953C2314yes—
169#3952C2314yes—
170#3952C2314yes—
171#3950C2314yes—
172#3949C2314yes—
173#3941C2314yes—
174#3940C2314yes—
175#3940C2314yes—
176#3940C2314yes—
177#3939C2314yes—
178#3939C2314yes—
179#3935C2314yes—
180C2×#555—51no—
181C2×#553—51no—
182#3347—516no—
183C2×#501—51no—
184C2×#482—51no—
185C2×#482—51no—
186C2×#482—51no—
187C2×#480—51no—
188C2×#478—51no—
189C2×#474D511yescharacteristic, complemented
190C2×#469—51no—
191C2×#466—51no—
192C2×#442—51no—
193C2×#435—51no—
194C2×#428—51no—
195C2×#427—51no—
196C24×C5—21no—
197C23×D5—21no—
198C23×D5C2×D411yescharacteristic
199C23×D5C2×D411yescharacteristic
200C2×C5×Q8—24no—
201C2×C5×Q8—82no—
202C2×C5×D4—21no—
203C2×C5×D4—22no—
204C2×C5×D4—22no—
205C2×C5×D4C2412yes—
206C22×C4×C5—21no—
207C22×C4×C5—21no—
208C22×C4×C5—21no—
209C22×C4×C5—24no—
210C22×C4×C5—82no—
211C22×C4×C5C2×D411yescharacteristic
212C22×C4×C5C2×D411yescharacteristic
213C22×C4×C5C2411yescharacteristic
214C2×C22⋊D5—24no—
215C2×C22⋊D5—24no—
216C2×C22⋊D5—44no—
217C2×C22⋊D5—82no—
218C22×Dic5—21no—
219C22×Dic5—21no—
220C22×Dic5—21no—
221C22×Dic5C2×D411yescharacteristic
222C22×Dic5C2×D411yescharacteristic
223C2×D20—22no—
224C2×D20—22no—
225C2×D20—21no—
226C2×D20—24no—
227C2×D20—24no—
228C2×D20—42no—
229C2×D20—82no—
230C2×D20—82no—
231C2×D20C2×D414yes—
232C2×D20C2412yes—
233C2×C4×D5—22no—
234C2×C4×D5—22no—
235C2×C4×D5—22no—
236C2×C4×D5—22no—
237C2×C4×D5—24no—
238C2×C4×D5—24no—
239C2×C4×D5—44no—
240C2×C4×D5—82no—
241C2×C4×D5C2×D412yes—
242C2×C4×D5C2×D412yes—
243C2×C4×D5C2412yes—
244C2×C4×D5C2412yes—
245C2×C5×C8—22no—
246C2×C5×C8—22no—
247C2×C5×C8C2412yes—
248C2×C5×C8C2412yes—
249C5×C4⋊C4—24no—
250C5×C4⋊C4—21no—
251C5×C4⋊C4—21no—
252C5×C4⋊C4—21no—
253C5×C4⋊C4C2412yes—
254C5×C4⋊C4C2412yes—
255C5×C4⋊C4C2412yes—
256C5×C22⋊C4—24no—
257C42×C5C2×D412yes—
258C42×C5C2412yes—
259C22⋊Dic5—24no—
260C22⋊Dic5—24no—
261#686—28no—
262#685—24no—
263#685—24no—
264#685—24no—
265#685—24no—
266#685—24no—
267#685—24no—
268#685C2×D414yes—
269#685C2×D414yes—
270C4⋊Dic5—21no—
271C4⋊Dic5—21no—
272C4⋊Dic5—21no—
273C4⋊Dic5C2×D414yes—
274C4⋊Dic5C2412yes—
275C4⋊Dic5C2412yes—
276C4⋊Dic5C2412yes—
277#683—24no—
278#683—24no—
279#683—24no—
280C4×Dic5—24no—
281C4×Dic5—24no—
282C4×Dic5—24no—
283C2×#168—22no—
284C2×#168#4114yes—
285C2×#168C2412yes—
286C2×#168C2412yes—
287#676—28no—
288C8×D5—28no—
289C22×D8—51no—
290C22×M16—51no—
291C23×C8—51no—
292#555—58no—
293#555—104no—
294#553—58no—
295#553—104no—
296C2×C4⋊Q8C2×D511yescharacteristic
297C2×#126—101no—
298C2×#125—51no—
299C2×#124—101no—
300C2×#124—101no—
301C2×#123—101no—
302C2×#121—51no—
303C2×#121—51no—
304C2×#121—51no—
305C2×#121—51no—
306C2×#121—101no—
307C2×#121—101no—
308C2×C4×D4—51no—
309C2×C4×D4—51no—
310C2×C4×D4—101no—
311C2×C4×D4C2×D511yescharacteristic
312C2×#117—51no—
313C2×#117—51no—
314C2×#117—51no—
315C2×#117—101no—
316C22×C4⋊C4—51no—
317#501—58no—
318#482—58no—
319#482—58no—
320#482—58no—
321#480—58no—
322#478—58no—
323#474C2×D518yescomplemented
324#469—58no—
325#466—58no—
326#442—58no—
327#435—58no—
328#428—58no—
329#427—58no—
330C2×#107—51no—
331C2×#107—51no—
332C2×#107—51no—
333C2×#107C2×D511yescharacteristic
334C2×#107C2×D511yescharacteristic
335C2×#106—51no—
336C2×#106—51no—
337C2×#106—51no—
338C2×#106—51no—
339C2×C4⋊C8C2×D511yescharacteristic
340C2×#102—51no—
341C2×#102—51no—
342C2×#102—51no—
343C2×#102—51no—
344C2×#102C2×D511yescharacteristic
345C2×#102C2×D511yescharacteristic
346C2×C22⋊C8—51no—
347C2×C22⋊C8—51no—
348C2×#97—51no—
349C23×C5—22no—
350C23×C5—42no—
351C23×C5—42no—
352C23×C5—42no—
353C23×C5C22×D411yescharacteristic
354C22×D5—22no—
355C22×D5—22no—
356C22×D5—22no—
357C22×D5—22no—
358C22×D5—22no—
359C22×D5—22no—
360C22×D5—22no—
361C22×D5—42no—
362C22×D5—42no—
363C22×D5—42no—
364C22×D5C22×D412yes—
365C22×D5C22×D412yes—
366C5×Q8—84no—
367C5×D4—22no—
368C5×D4—22no—
369C5×D4—42no—
370C2×C4×C5—22no—
371C2×C4×C5—22no—
372C2×C4×C5—22no—
373C2×C4×C5—22no—
374C2×C4×C5—22no—
375C2×C4×C5—42no—
376C2×C4×C5—42no—
377C2×C4×C5—42no—
378C2×C4×C5—84no—
379C2×C4×C5C22×D412yes—
380C2×C4×C5C22×D412yes—
381C2×C4×C5C22×D411yescharacteristic
382C2×C4×C5C2×#4112yes—
383C2×C4×C52−1+412yes—
384C2×C4×C5C2511yescharacteristic
385C22⋊D5—48no—
386C22⋊D5—84no—
387C2×Dic5—22no—
388C2×Dic5—22no—
389C2×Dic5—22no—
390C2×Dic5—22no—
391C2×Dic5—22no—
392C2×Dic5—42no—
393C2×Dic5—42no—
394C2×Dic5—42no—
395C2×Dic5C22×D412yes—
396C2×Dic5C22×D412yes—
397D20—22no—
398D20—22no—
399D20—44no—
400D20—42no—
401D20—84no—
402D20—84no—
403C4×D5—24no—
404C4×D5—24no—
405C4×D5—22no—
406C4×D5—22no—
407C4×D5—22no—
408C4×D5—22no—
409C4×D5—48no—
410C4×D5—84no—
411C5×C8—22no—
412C5×C8—22no—
413#168—22no—
414#168C2×#4114yes—
415C22×Q8—21no—
416C22×D4—51no—
417C22×D4—51no—
418C22×D4—101no—
419C22×D4—101no—
420C22×D4—101no—
421C22×D4—101no—
422C22×D4C22×D511yescharacteristic
423C23×C4—21no—
424C23×C4—51no—
425C23×C4—51no—
426C23×C4—101no—
427C23×C4—101no—
428C2×D8—54no—
429C2×D8—104no—
430C2×M16—54no—
431C2×M16—104no—
432C22×C8—51no—
433C22×C8—51no—
434C22×C8—54no—
435C22×C8—104no—
436C22×C8C22×D511yescharacteristic
437C22×C8C22×D511yescharacteristic
438C4⋊Q8—22no—
439C4⋊Q8C22×D514yes—
440#126—108no—
441#125—54no—
442#125—102no—
443#124—108no—
444#124—108no—
445#123—108no—
446#121—54no—
447#121—54no—
448#121—54no—
449#121—54no—
450#121—108no—
451#121—102no—
452#121—102no—
453#121—108no—
454#121—102no—
455#121—102no—
456C4×D4—22no—
457C4×D4—54no—
458C4×D4—54no—
459C4×D4—54no—
460C4×D4—108no—
461C4×D4—102no—
462C4×D4C22×D514yes—
463#117—54no—
464#117—54no—
465#117—54no—
466#117—108no—
467#117—102no—
468#117—102no—
469#117—102no—
470C2×C4⋊C4—21no—
471C2×C4⋊C4—51no—
472C2×C4⋊C4—51no—
473C2×C4⋊C4—51no—
474C2×C4⋊C4—51no—
475C2×C4⋊C4—54no—
476C2×C4⋊C4—102no—
477C2×C4⋊C4—101no—
478C2×C4⋊C4—101no—
479C2×C4⋊C4—101no—
480C2×C4⋊C4C22×D511yescharacteristic
481C2×C4⋊C4C22×D511yescharacteristic
482C2×C4⋊C4C22×D511yescharacteristic
483C2×C22⋊C4—21no—
484C2×C22⋊C4—51no—
485C2×C22⋊C4—51no—
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×C22⋊C4—101no—
493C2×C22⋊C4—101no—
494C2×C42—101no—
495C2×C42—101no—
496C2×C42—101no—
497C2×C42C22×D511yescharacteristic
498#107—54no—
499#107—54no—
500#107—54no—
501#107C22×D514yes—
502#107C22×D514yes—
503#106—54no—
504#106—54no—
505#106—54no—
506#106—54no—
507C4⋊C8C22×D514yes—
508#102—54no—
509#102—54no—
510#102—54no—
511#102—54no—
512#102C22×D514yes—
513#102C22×D514yes—
514C22⋊C8—54no—
515C22⋊C8—54no—
516#97—54no—
517C22×C5—42no—
518C22×C5—42no—
519C22×C5—42no—
520C22×C5—84no—
521C22×C5#54712yes—
522C22×C5#57512yes—
523C22×C5#57612yes—
524C22×C5C23×D411yescharacteristic
525C2×D5—22no—
526C2×D5—22no—
527C2×D5—22no—
528C2×D5—22no—
529C2×D5—22no—
530C2×D5—22no—
531C2×D5—44no—
532C2×D5—44no—
533C2×D5—42no—
534C2×D5—42no—
535C2×D5—42no—
536C2×D5—84no—
537C4×C5—22no—
538C4×C5—22no—
539C4×C5—42no—
540C4×C5—42no—
541C4×C5—42no—
542C4×C5#54712yes—
543C4×C5C22×#4111yescharacteristic
544C4×C5C2×2−1+411yescharacteristic
545Dic5—22no—
546Dic5—22no—
547Dic5—42no—
548Dic5—42no—
549Dic5—42no—
550C24—21no—
551C24—51no—
552C24—51no—
553C24—101no—
554C2×Q8—24no—
555C2×Q8—82no—
556C2×D4—21no—
557C2×D4—22no—
558C2×D4—22no—
559C2×D4—54no—
560C2×D4—52no—
561C2×D4—104no—
562C2×D4—104no—
563C2×D4—104no—
564C2×D4—104no—
565C2×D4—101no—
566C2×D4—102no—
567C2×D4—102no—
568C2×D4—202no—
569C2×D4—204no—
570C2×D4—402no—
571C2×D4—402no—
572C2×D4—402no—
573C2×D4C23×D512yes—
574C22×C4—21no—
575C22×C4—21no—
576C22×C4—21no—
577C22×C4—24no—
578C22×C4—51no—
579C22×C4—51no—
580C22×C4—52no—
581C22×C4—52no—
582C22×C4—52no—
583C22×C4—52no—
584C22×C4—82no—
585C22×C4—104no—
586C22×C4—102no—
587C22×C4—102no—
588C22×C4—102no—
589C22×C4—102no—
590C22×C4—101no—
591C22×C4—101no—
592C22×C4—101no—
593C22×C4—104no—
594C22×C4—204no—
595C22×C4—402no—
596C22×C4D4×D511yescharacteristic
597C22×C4D4×D511yescharacteristic
598C22×C4C23×D511yescharacteristic
599D8—108no—
600M16—108no—
601C2×C8—22no—
602C2×C8—22no—
603C2×C8—54no—
604C2×C8—52no—
605C2×C8—52no—
606C2×C8—108no—
607C2×C8—102no—
608C2×C8C23×D512yes—
609C2×C8C23×D512yes—
610C4⋊C4—24no—
611C4⋊C4—21no—
612C4⋊C4—21no—
613C4⋊C4—21no—
614C4⋊C4—54no—
615C4⋊C4—52no—
616C4⋊C4—52no—
617C4⋊C4—52no—
618C4⋊C4—104no—
619C4⋊C4—101no—
620C4⋊C4—101no—
621C4⋊C4—101no—
622C4⋊C4—104no—
623C4⋊C4—104no—
624C4⋊C4C23×D512yes—
625C4⋊C4C23×D512yes—
626C4⋊C4C23×D512yes—
627C22⋊C4—24no—
628C22⋊C4—54no—
629C22⋊C4—54no—
630C22⋊C4—104no—
631C22⋊C4—104no—
632C22⋊C4—104no—
633C22⋊C4—104no—
634C22⋊C4—104no—
635C22⋊C4—104no—
636C22⋊C4—104no—
637C22⋊C4—104no—
638C42—104no—
639C42—104no—
640C42—104no—
641C42D4×D512yes—
642C42C23×D512yes—
643C2×C5—82no—
644C2×C5#334714yescomplemented
645C2×C5C2×#54711yescharacteristic
646C2×C5C2×#57511yescharacteristic
647C2×C5C2×#57611yescharacteristic
648D5—42no—
649D5—42no—
650D5—82no—
651C23—22no—
652C23—42no—
653C23—42no—
654C23—42no—
655C23—52no—
656C23—52no—
657C23—102no—
658C23—102no—
659C23—102no—
660C23—102no—
661C23—102no—
662C23—102no—
663C23—102no—
664C23—202no—
665C23—202no—
666C23—202no—
667C23C2×D4×D511yescharacteristic
668Q8—84no—
669D4—22no—
670D4—22no—
671D4—42no—
672D4—102no—
673D4—102no—
674D4—204no—
675D4—208no—
676D4—202no—
677D4—404no—
678D4—404no—
679D4—404no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—52no—
689C2×C4—52no—
690C2×C4—84no—
691C2×C4—102no—
692C2×C4—102no—
693C2×C4—104no—
694C2×C4—104no—
695C2×C4—102no—
696C2×C4—102no—
697C2×C4—102no—
698C2×C4—102no—
699C2×C4—102no—
700C2×C4—102no—
701C2×C4—102no—
702C2×C4—208no—
703C2×C4—202no—
704C2×C4—202no—
705C2×C4—202no—
706C2×C4—404no—
707C2×C4C2×D4×D512yes—
708C2×C4C2×D4×D512yes—
709C2×C4C2×D4×D511yescharacteristic
710C2×C4#414712yes—
711C2×C4D5×#4112yes—
712C2×C4C24×D511yescharacteristic
713C8—22no—
714C8—22no—
715C8—54no—
716C8—102no—
717C5C2×#334711yescharacteristic, complemented, Sylow
718C22—42no—
719C22—42no—
720C22—42no—
721C22—84no—
722C22—102no—
723C22—102no—
724C22—102no—
725C22—102no—
726C22—102no—
727C22—102no—
728C22—204no—
729C22—204no—
730C22—202no—
731C22—202no—
732C22—202no—
733C22—404no—
734C22#6596512yes—
735C22#6609112yes—
736C22#6611112yes—
737C22C22×D4×D511yescharacteristic
738C4—22no—
739C4—22no—
740C4—42no—
741C4—42no—
742C4—42no—
743C4—102no—
744C4—102no—
745C4—202no—
746C4—202no—
747C4—202no—
748C4#6596512yes—
749C4C2×#414711yescharacteristic
750C4C2×D5×#4111yescharacteristic
751C2—82no—
752C2—202no—
753C2—202no—
754C2—402no—
755C2#1061272014yesdirect product factor
756C2C2×#6596511yescharacteristic
757C2C2×#6609111yescharacteristic
758C2C2×#6611111yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#474C2
socleC23×C5C22×D4
hypercenterC2×#474D5
hypocenterC5C2×#3347
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#474

Complements

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

NH ≅ G/Ntype
1. C2×#66068C2semidirect
2. C2×#65892C2semidirect
3. C2×C5×#474C2semidirect
4. C2×#65369C2semidirect
5. C2×#65303C2semidirect
6. #10612720C2direct (N × H)
7. C2×#65171C2semidirect
8. C2×#65170C2semidirect
9. C2×#65169C2semidirect
10. C2×#65174C2semidirect
11. C2×#65136C2semidirect
12. C2×#65125C2semidirect
13. C2×#65073C2semidirect
14. C2×#65071C2semidirect
15. C2×#65064C2semidirect
16. C2×#65068C2semidirect
29. #66068C22semidirect
31. #65892C22semidirect
45. C5×#474C22semidirect
58. #65369C22semidirect
59. #65303C22semidirect
67. #65174C22semidirect
68. #65171C22semidirect
69. #65170C22semidirect
70. #65169C22semidirect
71. #65136C22semidirect
72. #65125C22semidirect
73. #65073C22semidirect
74. #65071C22semidirect
75. #65068C22semidirect
76. #65064C22semidirect
189. C2×#474D5semidirect
323. #474C2×D5semidirect
644. C2×C5#3347semidirect
717. C5C2×#3347semidirect
755. C2#10612720direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#660682
C2×#658922
C2×C5×#4742
C2×#653692
C2×#653032
#106127202
C2×#651712
C2×#651702
C2×#651692
C2×#651742
C2×#651362
C2×#651252
C2×#650732
C2×#650712
C2×#650642
C2×#650682
C2×#33475