Finite Group Databasebeta

← C2×#10613441 #12979044

Subgroups — C2×#10613441 #12979044

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×#66047C211yesmaximal, characteristic, complemented
2C2×#66024C211yesmaximal, characteristic, complemented
3C2×C5×#490C211yesmaximal, characteristic, complemented
4C2×#65361C211yesmaximal, characteristic
5C2×#65352C211yesmaximal, characteristic, complemented
6#10613441C2116yesmaximal, direct product factor
7C2×#65076C211yesmaximal, characteristic, complemented
8C2×#65076C211yesmaximal, characteristic, complemented
9C2×#65054C211yesmaximal, characteristic, complemented
10C2×#65057C211yesmaximal, characteristic, complemented
11C2×#65055C211yesmaximal, characteristic, complemented
12C2×#65048C211yesmaximal, characteristic, complemented
13C2×#65074C211yesmaximal, characteristic, complemented
14C2×#65045C211yesmaximal, characteristic, complemented
15C2×#64999C211yesmaximal, characteristic, complemented
16C2×#64990C211yesmaximal, characteristic, complemented
17C2×C5×#127C2211yescharacteristic
18C2×C5×#125C2211yescharacteristic
19C2×#4082—21no—
20C2×#4082C2211yescharacteristic
21C2×#4082C2211yescharacteristic
22C2×#4081—21no—
23C2×#4081—21no—
24C2×D4×Dic5—21no—
25C2×D4×Dic5C2211yescharacteristic
26C2×D4×Dic5C2211yescharacteristic
27C22×#686C2211yescharacteristic
28C22×#686C2211yescharacteristic
29C22×#677C2211yescharacteristic
30#66047—24no—
31#66047C2218yescomplemented
32#66024—24no—
33#66024C2218yescomplemented
34C2×#4043—21no—
35C2×#4042—21no—
36C2×#4042—21no—
37C2×#4039C2211yescharacteristic
38C2×#4039C2211yescharacteristic
39C2×D5×C4⋊C4—21no—
40C2×#4036C2211yescharacteristic
41C2×#4034C2211yescharacteristic
42C2×C4×D20C2211yescharacteristic
43C2×C4×Dic10C2211yescharacteristic
44C2×C4×Dic10C2211yescharacteristic
45C5×#490C2218yescomplemented
46C2×C5×#102C2211yescharacteristic
47C2×C5×#102C2211yescharacteristic
48C2×C5×#102C2211yescharacteristic
49C2×C5×#102C2211yescharacteristic
50C2×C5×#97C2211yescharacteristic
51C2×#3964C2211yescharacteristic
52C2×#3964C2211yescharacteristic
53C2×#3953C2211yescharacteristic
54C2×#3950C2211yescharacteristic
55C2×#3948C2211yescharacteristic
56C2×#3947C2211yescharacteristic
57C2×#3946C2211yescharacteristic
58C2×#3946C2211yescharacteristic
59C2×C8×Dic5C2211yescharacteristic
60#65361C2218yes—
61#65352C2218yescomplemented
62C2×#3942C2211yescharacteristic
63C2×#3942C2211yescharacteristic
64C2×#3940C2211yescharacteristic
65C2×#3939C2211yescharacteristic
66C2×C4⋊#168C2211yescharacteristic
67#65076C2218yescomplemented
68#65076C2218yescomplemented
69#65074C2218yescomplemented
70#65057C2218yescomplemented
71#65055C2218yescomplemented
72#65054C2218yescomplemented
73#65048C2218yescomplemented
74#65045C2218yescomplemented
75#64999C2218yescomplemented
76#64990C2218yescomplemented
77C2×#3370—51nomaximal, Sylow
78C22×C5×D4—21no—
79C22×C5×D4—21no—
80C22×C5×D4C2311yescharacteristic
81C22×C5×D4C2311yescharacteristic
82C23×Dic5—21no—
83C23×Dic5—21no—
84C22×D20C2311yescharacteristic
85C22×C4×D5—21no—
86C22×C4×D5—21no—
87C22×C4×D5—21no—
88C22×Dic10—21no—
89C22×Dic10D411yescharacteristic
90C22×Dic10C2311yescharacteristic
91C22×C5×C8C2311yescharacteristic
92C22×C5×C8C2311yescharacteristic
93C5×#127—22no—
94C5×#127C2314yes—
95C5×#125—22no—
96C5×#125C2314yes—
97C2×C5×C4⋊C4—21no—
98C2×C5×C4⋊C4—21no—
99C2×C5×C4⋊C4C2311yescharacteristic
100C2×C5×C4⋊C4C2311yescharacteristic
101C2×C42×C5C2311yescharacteristic
102C2×C22⋊Dic5—21no—
103C2×C22⋊Dic5—21no—
104C2×C22⋊Dic5—21no—
105C2×C22⋊Dic5—21no—
106C2×C22⋊Dic5—21no—
107C2×C22⋊Dic5—21no—
108#4082—28no—
109#4082—22no—
110#4082—22no—
111#4082C2314yes—
112#4082C2314yes—
113#4081—28no—
114#4081—28no—
115D4×Dic5—28no—
116D4×Dic5—22no—
117D4×Dic5—22no—
118D4×Dic5C2314yes—
119D4×Dic5C2314yes—
120C2×#686—24no—
121C2×#686—24no—
122C2×#686C2314yes—
123C2×#686C2314yes—
124C2×#685—21no—
125C2×#685—21no—
126C2×#685—21no—
127C2×C4⋊Dic5—21no—
128C2×C4⋊Dic5D411yescharacteristic
129C2×C4⋊Dic5C2311yescharacteristic
130C2×C4⋊Dic5C2311yescharacteristic
131C2×#683—21no—
132C2×#683—21no—
133C2×#683—21no—
134C2×#683D411yescharacteristic
135C2×#683D411yescharacteristic
136C2×C4×Dic5—21no—
137C2×C4×Dic5C2311yescharacteristic
138C2×C4×Dic5C2311yescharacteristic
139C22×#168C2311yescharacteristic
140C22×#168C2311yescharacteristic
141C2×#677—24no—
142C2×#677C2314yes—
143#4043—28no—
144#4042—28no—
145#4042—28no—
146#4039—22no—
147#4039—22no—
148#4039C2314yes—
149#4039C2314yes—
150D5×C4⋊C4—28no—
151#4036—22no—
152#4036C2314yes—
153#4034—22no—
154#4034C2314yes—
155C4×D20—22no—
156C4×D20C2314yes—
157C4×Dic10—22no—
158C4×Dic10D414yes—
159C4×Dic10C2314yes—
160C4×Dic10C2314yes—
161C5×#102C2314yes—
162C5×#102C2314yes—
163C5×#102C2314yes—
164C5×#102C2314yes—
165C5×#97C2314yes—
166#3964C2314yes—
167#3964C2314yes—
168#3953C2314yes—
169#3950C2314yes—
170#3948C2314yes—
171#3947C2314yes—
172#3946C2314yes—
173#3946C2314yes—
174C8×Dic5C2314yes—
175#3942C2314yes—
176#3942C2314yes—
177#3940C2314yes—
178#3939C2314yes—
179C4⋊#168C2314yes—
180C2×#559—51no—
181C2×#554—51no—
182#3370—516no—
183C2×#490D511yescharacteristic, complemented
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×D8—51no—
196C24×C5—21no—
197C24×C5—21no—
198C23×D5—21no—
199C2×C5×D4—21no—
200C2×C5×D4—21no—
201C2×C5×D4—24no—
202C2×C5×D4—24no—
203C2×C5×D4—22no—
204C2×C5×D4—22no—
205C2×C5×D4—22no—
206C2×C5×D4—22no—
207C2×C5×D4—44no—
208C2×C5×D4—82no—
209C2×C5×D4C2412yes—
210C2×C5×D4C2412yes—
211C22×C4×C5—21no—
212C22×C4×C5—21no—
213C22×C4×C5C2×D411yescharacteristic
214C22×C4×C5C2×D411yescharacteristic
215C22×C4×C5C2411yescharacteristic
216C22×Dic5—21no—
217C22×Dic5—21no—
218C22×Dic5—21no—
219C22×Dic5—24no—
220C22×Dic5—24no—
221C22×Dic5—82no—
222C22×Dic5—82no—
223C22×Dic5C2×D411yescharacteristic
224C22×Dic5C2×D411yescharacteristic
225C22×Dic5C2×D411yescharacteristic
226C22×Dic5C2×D411yescharacteristic
227C2×D20—21no—
228C2×D20—22no—
229C2×D20#4114yes—
230C2×D20C2412yes—
231C2×C4×D5—24no—
232C2×C4×D5—24no—
233C2×C4×D5—24no—
234C2×C4×D5—44no—
235C2×C4×D5—82no—
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—
245C2×C5×C8—22no—
246C2×C5×C8—22no—
247C2×C5×C8C2412yes—
248C2×C5×C8C2412yes—
249C5×C4⋊C4—24no—
250C5×C4⋊C4—24no—
251C5×C4⋊C4—21no—
252C5×C4⋊C4—21no—
253C5×C4⋊C4C2412yes—
254C5×C4⋊C4C2412yes—
255C42×C5C2×D412yes—
256C42×C5C2412yes—
257C22⋊Dic5—24no—
258C22⋊Dic5—24no—
259C22⋊Dic5—24no—
260C22⋊Dic5—24no—
261C22⋊Dic5—24no—
262C22⋊Dic5—24no—
263#686—28no—
264#686—28no—
265#685—24no—
266#685—24no—
267#685—24no—
268C4⋊Dic5—21no—
269C4⋊Dic5—21no—
270C4⋊Dic5—24no—
271C4⋊Dic5C2×D414yes—
272C4⋊Dic5C2412yes—
273C4⋊Dic5C2412yes—
274#683—24no—
275#683—24no—
276#683—24no—
277#683C2×D414yes—
278#683C2×D414yes—
279C4×Dic5—24no—
280C4×Dic5C2×D412yes—
281C4×Dic5C2×D412yes—
282C4×Dic5C2412yes—
283C4×Dic5C2412yes—
284C2×#168—22no—
285C2×#168—22no—
286C2×#168C2412yes—
287C2×#168C2412yes—
288#677—28no—
289C22×SD16—51no—
290C22×D8—51no—
291C22×D8—51no—
292#559—58no—
293#559—104no—
294#554—58no—
295#554—104no—
296C2×C4⋊Q8—51no—
297C2×#127C2×D511yescharacteristic
298C2×#125—51no—
299C2×#125C2×D511yescharacteristic
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—51no—
314C2×C4×D4—51no—
315C2×C4×D4—101no—
316C22×C4⋊C4—101no—
317#490C2×D518yescomplemented
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×D8—58no—
330C2×#107—51no—
331C2×#107—51no—
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×#102C2×D511yescharacteristic
343C2×#102C2×D511yescharacteristic
344C2×#102C2×D511yescharacteristic
345C2×#102C2×D511yescharacteristic
346C2×#97—51no—
347C2×#97C2×D511yescharacteristic
348C2×C4×C8—51no—
349C23×C5—22no—
350C23×C5—22no—
351C23×C5—42no—
352C23×C5—42no—
353C23×C5—42no—
354C23×C5—42no—
355C23×C5—42no—
356C23×C5—42no—
357C23×C5C22×D411yescharacteristic
358C22×D5—24no—
359C22×D5—22no—
360C22×D5—42no—
361C22×D5—42no—
362C5×D4—22no—
363C5×D4—22no—
364C5×D4—22no—
365C5×D4—22no—
366C5×D4—48no—
367C5×D4—42no—
368C5×D4—42no—
369C5×D4—84no—
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×C5C22×D412yes—
377C2×C4×C5C22×D412yes—
378C2×C4×C5C22×D411yescharacteristic
379C2×C4×C5C2×#4112yes—
380C2×C4×C52−1+412yes—
381C2×C4×C5C2511yescharacteristic
382C2×Dic5—22no—
383C2×Dic5—22no—
384C2×Dic5—22no—
385C2×Dic5—22no—
386C2×Dic5—22no—
387C2×Dic5—22no—
388C2×Dic5—22no—
389C2×Dic5—42no—
390C2×Dic5—42no—
391C2×Dic5—42no—
392C2×Dic5—84no—
393C2×Dic5—84no—
394C2×Dic5C22×D412yes—
395C2×Dic5C22×D412yes—
396C2×Dic5C22×D412yes—
397C2×Dic5C22×D412yes—
398D20—24no—
399D20—22no—
400D20C2×#4114yes—
401C4×D5—48no—
402C4×D5—84no—
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—21no—
417C22×D4—21no—
418C22×D4—51no—
419C22×D4C22×D511yescharacteristic
420C22×D4C22×D511yescharacteristic
421C23×C4—101no—
422C23×C4—101no—
423C23×C4—101no—
424C23×C4—101no—
425C23×C4—101no—
426C2×SD16—54no—
427C2×SD16—104no—
428C2×D8—54no—
429C2×D8—54no—
430C2×D8—104no—
431C2×D8—104no—
432C22×C8—51no—
433C22×C8—51no—
434C22×C8C22×D511yescharacteristic
435C22×C8C22×D511yescharacteristic
436C4⋊Q8—54no—
437C4⋊Q8—102no—
438#127—22no—
439#127C22×D514yes—
440#125—22no—
441#125—54no—
442#125—102no—
443#125C22×D514yes—
444#124—54no—
445#124—54no—
446#124—102no—
447#124—102no—
448#124—108no—
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—54no—
459C4×D4—54no—
460C4×D4—54no—
461C4×D4—54no—
462C4×D4—54no—
463C4×D4—102no—
464C4×D4—102no—
465C4×D4—102no—
466C4×D4—102no—
467C4×D4—108no—
468C4×D4—102no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—21no—
471C2×C4⋊C4—51no—
472C2×C4⋊C4—51no—
473C2×C4⋊C4—51no—
474C2×C4⋊C4—51no—
475C2×C4⋊C4—51no—
476C2×C4⋊C4—108no—
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—101no—
484C2×C22⋊C4—101no—
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#107—54no—
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#102C22×D514yes—
509#102C22×D514yes—
510#102C22×D514yes—
511#102C22×D514yes—
512#97—54no—
513#97C22×D514yes—
514C4×C8—54no—
515C22×C5—42no—
516C22×C5—42no—
517C22×C5—42no—
518C22×C5—42no—
519C22×C5—42no—
520C22×C5—42no—
521C22×C5—84no—
522C22×C5—84no—
523C22×C5#54812yes—
524C22×C5#57512yes—
525C22×C5#57612yes—
526C22×C5C23×D411yescharacteristic
527C2×D5—24no—
528C2×D5—48no—
529C2×D5—42no—
530C2×D5—42no—
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—21no—
557C2×D4—21no—
558C2×D4—24no—
559C2×D4—24no—
560C2×D4—22no—
561C2×D4—22no—
562C2×D4—22no—
563C2×D4—22no—
564C2×D4—44no—
565C2×D4—54no—
566C2×D4—52no—
567C2×D4—82no—
568C2×D4—101no—
569C2×D4—102no—
570C2×D4C23×D512yes—
571C2×D4C23×D512yes—
572C22×C4—21no—
573C22×C4—21no—
574C22×C4—51no—
575C22×C4—51no—
576C22×C4—51no—
577C22×C4—51no—
578C22×C4—104no—
579C22×C4—104no—
580C22×C4—104no—
581C22×C4—104no—
582C22×C4—101no—
583C22×C4—101no—
584C22×C4—101no—
585C22×C4—104no—
586C22×C4—204no—
587C22×C4—402no—
588C22×C4—402no—
589C22×C4—402no—
590C22×C4—402no—
591C22×C4D4×D511yescharacteristic
592C22×C4D4×D511yescharacteristic
593C22×C4C23×D511yescharacteristic
594SD16—108no—
595D8—108no—
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—24no—
606C4⋊C4—24no—
607C4⋊C4—21no—
608C4⋊C4—21no—
609C4⋊C4—54no—
610C4⋊C4—54no—
611C4⋊C4—54no—
612C4⋊C4—52no—
613C4⋊C4—52no—
614C4⋊C4—104no—
615C4⋊C4—104no—
616C4⋊C4—104no—
617C4⋊C4—101no—
618C4⋊C4—101no—
619C4⋊C4—104no—
620C4⋊C4C23×D512yes—
621C4⋊C4C23×D512yes—
622C22⋊C4—104no—
623C22⋊C4—104no—
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—82no—
639C2×C5—82no—
640C2×C5#337014yescomplemented
641C2×C5C2×#54811yescharacteristic
642C2×C5C2×#57511yescharacteristic
643C2×C5C2×#57611yescharacteristic
644D5—44no—
645C23—22no—
646C23—22no—
647C23—42no—
648C23—42no—
649C23—42no—
650C23—42no—
651C23—42no—
652C23—42no—
653C23—104no—
654C23—102no—
655C23—202no—
656C23—202no—
657C23C2×D4×D511yescharacteristic
658Q8—102no—
659Q8—102no—
660Q8—204no—
661Q8—202no—
662Q8—404no—
663D4—22no—
664D4—22no—
665D4—22no—
666D4—22no—
667D4—48no—
668D4—42no—
669D4—42no—
670D4—54no—
671D4—84no—
672D4—104no—
673D4—102no—
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—102no—
685C2×C4—102no—
686C2×C4—102no—
687C2×C4—102no—
688C2×C4—102no—
689C2×C4—102no—
690C2×C4—102no—
691C2×C4—208no—
692C2×C4—202no—
693C2×C4—202no—
694C2×C4—202no—
695C2×C4—404no—
696C2×C4—404no—
697C2×C4—404no—
698C2×C4—404no—
699C2×C4C2×D4×D512yes—
700C2×C4C2×D4×D512yes—
701C2×C4C2×D4×D511yescharacteristic
702C2×C4D5×#4112yes—
703C2×C4#415012yes—
704C2×C4C24×D511yescharacteristic
705C8—22no—
706C8—22no—
707C8—102no—
708C8—102no—
709C5C2×#337011yescharacteristic, complemented, Sylow
710C22—42no—
711C22—42no—
712C22—42no—
713C22—42no—
714C22—42no—
715C22—42no—
716C22—84no—
717C22—84no—
718C22—104no—
719C22—208no—
720C22—202no—
721C22—202no—
722C22#6601112yes—
723C22#6610712yes—
724C22#6610812yes—
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#6601112yes—
738C4C2×D5×#4111yescharacteristic
739C4C2×#415011yescharacteristic
740C2—82no—
741C2—82no—
742C2—204no—
743C2#1061344114yesdirect product factor
744C2C2×#6601111yescharacteristic
745C2C2×#6610711yescharacteristic
746C2C2×#6610811yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#490C2
socleC23×C5C22×D4
prime radicalC2×#65361C2
hypercenterC2×#490D5
hypocenterC5C2×#3370
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#490

Complements

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

NH ≅ G/Ntype
1. C2×#66047C2semidirect
2. C2×#66024C2semidirect
3. C2×C5×#490C2semidirect
5. C2×#65352C2semidirect
6. #10613441C2direct (N × H)
7. C2×#65076C2semidirect
8. C2×#65076C2semidirect
9. C2×#65054C2semidirect
10. C2×#65057C2semidirect
11. C2×#65055C2semidirect
12. C2×#65048C2semidirect
13. C2×#65074C2semidirect
14. C2×#65045C2semidirect
15. C2×#64999C2semidirect
16. C2×#64990C2semidirect
31. #66047C22semidirect
33. #66024C22semidirect
45. C5×#490C22semidirect
61. #65352C22semidirect
67. #65076C22semidirect
68. #65076C22semidirect
69. #65074C22semidirect
70. #65057C22semidirect
71. #65055C22semidirect
72. #65054C22semidirect
73. #65048C22semidirect
74. #65045C22semidirect
75. #64999C22semidirect
76. #64990C22semidirect
183. C2×#490D5semidirect
317. #490C2×D5semidirect
640. C2×C5#3370semidirect
709. C5C2×#3370semidirect
743. C2#10613441direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#660472
C2×#660242
C2×C5×#4902
C2×#653612
C2×#653522
#106134412
C2×#650762
C2×#650542
C2×#650572
C2×#650552
C2×#650482
C2×#650742
C2×#650452
C2×#649992
C2×#649902
C2×#33705