Finite Group Databasebeta

← C2×#10613695 #12979774

Subgroups — C2×#10613695 #12979774

Order 1280.

2082 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66061C211yesmaximal, characteristic, complemented
2C2×#66024C211yesmaximal, characteristic, complemented
3C2×C5×#501C211yesmaximal, characteristic, complemented
4C2×#65373C211yesmaximal, characteristic, complemented
5C2×#65355C211yesmaximal, characteristic, complemented
6#10613695C2116yesmaximal, direct product factor
7C2×#65180C211yesmaximal, characteristic, complemented
8C2×#65179C211yesmaximal, characteristic, complemented
9C2×#65165C211yesmaximal, characteristic, complemented
10C2×#65161C211yesmaximal, characteristic
11C2×#65159C211yesmaximal, characteristic, complemented
12C2×#65159C211yesmaximal, characteristic, complemented
13C2×#65144C211yesmaximal, characteristic, complemented
14C2×#65158C211yesmaximal, characteristic
15C2×#65000C211yesmaximal, characteristic
16C2×#64990C211yesmaximal, characteristic, complemented
17C22×Q8×D5—21no—
18C2×C5×C4⋊Q8C2211yescharacteristic
19C2×C5×#125C2211yescharacteristic
20C2×#4092—21no—
21C22×D40C2211yescharacteristic
22#66061—24no—
23#66061C2218yescomplemented
24#66024—24no—
25#66024C2218yescomplemented
26C2×#4043—21no—
27C2×#4042—21no—
28C2×#4042—21no—
29C2×#4042—21no—
30C2×#4042—21no—
31C2×#4039C2211yescharacteristic
32C2×#4039C2211yescharacteristic
33C2×#4039C2211yescharacteristic
34C2×#4039C2211yescharacteristic
35C2×D5×C4⋊C4—21no—
36C2×#4036C2211yescharacteristic
37C2×#4034C2211yescharacteristic
38C2×#4034C2211yescharacteristic
39C2×#4034C2211yescharacteristic
40C2×C4×D20C2211yescharacteristic
41C2×C4×D20C2211yescharacteristic
42C2×C4×Dic10C2211yescharacteristic
43C5×#501C2218yescomplemented
44C2×C5×#107C2211yescharacteristic
45C2×C5×#107C2211yescharacteristic
46C2×C5×#106C2211yescharacteristic
47C2×C5×#106C2211yescharacteristic
48C2×C5×#97C2211yescharacteristic
49C2×#3953C2211yescharacteristic
50C2×#3953C2211yescharacteristic
51C2×#3949C2211yescharacteristic
52C2×#3947C2211yescharacteristic
53C2×#3946C2211yescharacteristic
54C2×#3946C2211yescharacteristic
55C2×C8×Dic5C2211yescharacteristic
56#65373C2218yescomplemented
57#65355C2218yescomplemented
58C2×#3941C2211yescharacteristic
59C2×#3941C2211yescharacteristic
60C2×#3941C2211yescharacteristic
61C2×#3941C2211yescharacteristic
62C2×#3940C2211yescharacteristic
63C2×#3940C2211yescharacteristic
64C2×#3940C2211yescharacteristic
65C2×#3939C2211yescharacteristic
66C2×C4⋊#168C2211yescharacteristic
67#65180C2218yescomplemented
68#65179C2218yescomplemented
69#65165C2218yescomplemented
70#65161C2218yes—
71#65159C2218yescomplemented
72#65159C2218yescomplemented
73#65158C2218yes—
74#65144C2218yescomplemented
75#65000C2218yes—
76#64990C2218yescomplemented
77C2×#3384—51nomaximal, Sylow
78C22×C5×Q8—21no—
79C2×Q8×D5—28no—
80C2×Q8×D5—48no—
81C22×D20C2311yescharacteristic
82C22×D20C2311yescharacteristic
83C22×C4×D5—21no—
84C22×C4×D5—21no—
85C22×C4×D5—21no—
86C22×C4×D5—21no—
87C22×C4×D5—21no—
88C22×C4×D5—21no—
89C22×Dic10—21no—
90C22×Dic10—21no—
91C22×Dic10—21no—
92C22×Dic10D411yescharacteristic
93C22×C5×C8C2311yescharacteristic
94C22×C5×C8C2311yescharacteristic
95C5×C4⋊Q8—22no—
96C5×C4⋊Q8C2314yes—
97C5×#125—22no—
98C5×#125C2314yes—
99C2×C5×C4⋊C4—21no—
100C2×C5×C4⋊C4—21no—
101C2×C5×C4⋊C4—21no—
102C2×C5×C4⋊C4C2311yescharacteristic
103C2×C5×C4⋊C4C2311yescharacteristic
104C2×C5×C4⋊C4C2311yescharacteristic
105C2×C5×C4⋊C4C2311yescharacteristic
106C2×C42×C5C2311yescharacteristic
107#4092—28no—
108C2×#685—21no—
109C2×#685—21no—
110C2×#685—21no—
111C2×#685—21no—
112C2×#685—21no—
113C2×#685—21no—
114C2×C4⋊Dic5—21no—
115C2×C4⋊Dic5D411yescharacteristic
116C2×C4⋊Dic5C2311yescharacteristic
117C2×C4⋊Dic5C2311yescharacteristic
118C2×#683—21no—
119C2×#683—21no—
120C2×#683—21no—
121C2×#683—21no—
122C2×#683D411yescharacteristic
123C2×#683D411yescharacteristic
124C2×C4×Dic5C2311yescharacteristic
125C2×C4×Dic5C2311yescharacteristic
126C22×#168C2311yescharacteristic
127C22×#168C2311yescharacteristic
128C2×D40Q818yescomplemented
129C2×D40C2314yes—
130#4043—28no—
131#4042—28no—
132#4042—28no—
133#4042—28no—
134#4042—28no—
135#4039—22no—
136#4039—22no—
137#4039—22no—
138#4039—22no—
139#4039C2314yes—
140#4039C2314yes—
141#4039C2314yes—
142#4039C2314yes—
143D5×C4⋊C4—28no—
144#4036—22no—
145#4036C2314yes—
146#4034—22no—
147#4034—22no—
148#4034—22no—
149#4034C2314yes—
150#4034C2314yes—
151#4034C2314yes—
152C4×D20—22no—
153C4×D20—22no—
154C4×D20C2314yes—
155C4×D20C2314yes—
156C4×Dic10D414yes—
157C4×Dic10C2314yes—
158C5×#107C2314yes—
159C5×#107C2314yes—
160C5×#106C2314yes—
161C5×#106C2314yes—
162C5×#97C2314yes—
163#3953C2314yes—
164#3953C2314yes—
165#3949C2314yes—
166#3947C2314yes—
167#3946C2314yes—
168#3946C2314yes—
169C8×Dic5C2314yes—
170#3941C2314yes—
171#3941C2314yes—
172#3941C2314yes—
173#3941C2314yes—
174#3940C2314yes—
175#3940C2314yes—
176#3940C2314yes—
177#3939C2314yes—
178C4⋊#168C2314yes—
179C2×#554—51no—
180C2×D4×Q8—51no—
181#3384—516no—
182C2×#501—51no—
183C2×#501D511yescharacteristic, complemented
184C2×#498—51no—
185C2×#478—51no—
186C2×#478—51no—
187C2×#476—51no—
188C2×#476—51no—
189C2×#476—51no—
190C2×#474—51no—
191C2×#446—51no—
192C2×#442—51no—
193C2×#442—51no—
194C2×C4×D8—51no—
195C23×D5—21no—
196C23×D5—21no—
197C2×C5×Q8—24no—
198C2×C5×Q8—44no—
199C22×C4×C5—21no—
200C22×C4×C5—21no—
201C22×C4×C5—21no—
202C22×C4×C5—21no—
203C22×C4×C5C2×D411yescharacteristic
204C22×C4×C5C2×D411yescharacteristic
205C22×C4×C5C2411yescharacteristic
206C22×Dic5—21no—
207C22×Dic5—21no—
208C22×Dic5C2×D411yescharacteristic
209C22×Dic5C2×D411yescharacteristic
210C22×Dic5C2×D411yescharacteristic
211C22×Dic5C2×D411yescharacteristic
212Q8×D5—432no—
213C2×D20—21no—
214C2×D20—21no—
215C2×D20—22no—
216C2×D20—22no—
217C2×D20C2×Q814yes—
218C2×D20C2×Q814yescomplemented
219C2×D20C2412yes—
220C2×D20C2412yes—
221C2×C4×D5—24no—
222C2×C4×D5—24no—
223C2×C4×D5—24no—
224C2×C4×D5—24no—
225C2×C4×D5—24no—
226C2×C4×D5—24no—
227C2×C4×D5—44no—
228C2×C4×D5—44no—
229C2×C4×D5—44no—
230C2×C4×D5—44no—
231C2×C4×D5—82no—
232C2×C4×D5—82no—
233C2×Dic10—24no—
234C2×Dic10—24no—
235C2×Dic10—24no—
236C2×Dic10—24no—
237C2×Dic10—44no—
238C2×Dic10—44no—
239C2×Dic10—82no—
240C2×Dic10C2×D414yes—
241C2×C5×C8—22no—
242C2×C5×C8C2×Q814yescomplemented
243C2×C5×C8C2412yes—
244C2×C5×C8C2412yes—
245C5×C4⋊C4—24no—
246C5×C4⋊C4—24no—
247C5×C4⋊C4—24no—
248C5×C4⋊C4—21no—
249C5×C4⋊C4—21no—
250C5×C4⋊C4—21no—
251C5×C4⋊C4—21no—
252C5×C4⋊C4C2412yes—
253C5×C4⋊C4C2412yes—
254C5×C4⋊C4C2412yes—
255C5×C4⋊C4C2412yes—
256C42×C5C2×D412yes—
257C42×C5C2412yes—
258#685—24no—
259#685—24no—
260#685—24no—
261#685—24no—
262#685—24no—
263#685—24no—
264C4⋊Dic5—21no—
265C4⋊Dic5—21no—
266C4⋊Dic5—24no—
267C4⋊Dic5C2×D414yes—
268C4⋊Dic5C2412yes—
269C4⋊Dic5C2412yes—
270#683—24no—
271#683—24no—
272#683—24no—
273#683—24no—
274#683C2×D414yes—
275#683C2×D414yes—
276C4×Dic5C2×D412yes—
277C4×Dic5C2×D412yes—
278C4×Dic5C2412yes—
279C4×Dic5C2412yes—
280C2×#168—22no—
281C2×#168—22no—
282C2×#168C2412yes—
283C2×#168C2412yes—
284D40C2×Q8116yescomplemented
285C23×Q8—101no—
286C22×D8—51no—
287#554—58no—
288#554—104no—
289D4×Q8—58no—
290D4×Q8—104no—
291C2×C4⋊Q8—51no—
292C2×C4⋊Q8—51no—
293C2×C4⋊Q8—51no—
294C2×C4⋊Q8C2×D511yescharacteristic
295C2×#125—51no—
296C2×#125C2×D511yescharacteristic
297C2×C22⋊Q8—101no—
298C2×C22⋊Q8—101no—
299C2×C22⋊Q8—101no—
300C2×C22⋊Q8—101no—
301C2×C22⋊Q8—101no—
302C2×C22⋊Q8—101no—
303C2×C4×Q8—51no—
304C2×C4×D4—51no—
305C2×C4×D4—51no—
306C2×C4×D4—51no—
307C2×C4×D4—51no—
308C2×C4×D4—51no—
309C2×C4×D4—51no—
310C22×C4⋊C4—101no—
311#501—58no—
312#501C2×D518yescomplemented
313#498—58no—
314#478—58no—
315#478—58no—
316#476—58no—
317#476—58no—
318#476—58no—
319#474—58no—
320#446—58no—
321#442—58no—
322#442—58no—
323C4×D8—58no—
324C2×#107—51no—
325C2×#107C2×D511yescharacteristic
326C2×#107C2×D511yescharacteristic
327C2×#106—51no—
328C2×#106—51no—
329C2×#106—51no—
330C2×#106—51no—
331C2×#106C2×D511yescharacteristic
332C2×#106C2×D511yescharacteristic
333C2×C4⋊C8—51no—
334C2×C4⋊C8—51no—
335C2×C4⋊C8—51no—
336C2×#102—51no—
337C2×#102—51no—
338C2×#102—51no—
339C2×#102—51no—
340C2×#102—51no—
341C2×#102—51no—
342C2×#97—51no—
343C2×#97C2×D511yescharacteristic
344C2×C4×C8—51no—
345C23×C5C22×D411yescharacteristic
346C22×D5—24no—
347C22×D5—24no—
348C22×D5—22no—
349C22×D5—22no—
350C22×D5—42no—
351C22×D5—42no—
352C22×D5—42no—
353C22×D5—42no—
354C5×Q8—48no—
355C2×C4×C5—22no—
356C2×C4×C5—22no—
357C2×C4×C5—22no—
358C2×C4×C5—22no—
359C2×C4×C5—22no—
360C2×C4×C5—22no—
361C2×C4×C5—42no—
362C2×C4×C5—42no—
363C2×C4×C5—42no—
364C2×C4×C5—42no—
365C2×C4×C5C22×D412yes—
366C2×C4×C5C22×D412yes—
367C2×C4×C5C22×D411yescharacteristic
368C2×C4×C5C22×Q812yes—
369C2×C4×C52−1+412yes—
370C2×C4×C5C2511yescharacteristic
371C2×Dic5—22no—
372C2×Dic5—22no—
373C2×Dic5—22no—
374C2×Dic5—22no—
375C2×Dic5—22no—
376C2×Dic5—42no—
377C2×Dic5—42no—
378C2×Dic5AGL(1,ℤ/8)14yes—
379C2×Dic5C22×D412yes—
380C2×Dic5C22×D412yes—
381C2×Dic5C22×D412yes—
382C2×Dic5C22×D412yes—
383D20—24no—
384D20—24no—
385D20—22no—
386D20—22no—
387D20C22×Q814yes—
388D20C22×Q814yescomplemented
389C4×D5—48no—
390C4×D5—48no—
391C4×D5—48no—
392C4×D5—48no—
393C4×D5—84no—
394C4×D5—84no—
395Dic10—28no—
396Dic10—48no—
397Dic10—48no—
398Dic10—84no—
399C5×C8—22no—
400C5×C8C22×Q814yescomplemented
401#168—22no—
402#168—22no—
403C22×Q8—21no—
404C22×Q8—51no—
405C22×Q8—101no—
406C22×Q8—101no—
407C22×Q8—101no—
408C22×Q8—108no—
409C22×Q8—208no—
410C22×D4—51no—
411C22×D4—51no—
412C23×C4—101no—
413C23×C4—101no—
414C23×C4—101no—
415C23×C4—101no—
416C23×C4—101no—
417C23×C4—101no—
418C2×D8—58no—
419C2×D8—54no—
420C22×C8—51no—
421C22×C8—51no—
422C22×C8C22×D511yescharacteristic
423C22×C8C22×D511yescharacteristic
424C4⋊Q8—22no—
425C4⋊Q8—54no—
426C4⋊Q8—54no—
427C4⋊Q8—54no—
428C4⋊Q8—102no—
429C4⋊Q8—102no—
430C4⋊Q8—102no—
431C4⋊Q8C22×D514yes—
432#125—22no—
433#125—54no—
434#125—102no—
435#125C22×D514yes—
436C22⋊Q8—108no—
437C22⋊Q8—108no—
438C22⋊Q8—108no—
439C22⋊Q8—108no—
440C22⋊Q8—108no—
441C22⋊Q8—108no—
442C4×Q8—54no—
443C4×Q8—54no—
444C4×D4—54no—
445C4×D4—54no—
446C4×D4—54no—
447C4×D4—54no—
448C4×D4—54no—
449C4×D4—54no—
450C4×D4—102no—
451C4×D4—102no—
452C4×D4—102no—
453C4×D4—102no—
454C4×D4—102no—
455C4×D4—102no—
456C2×C4⋊C4—21no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—51no—
460C2×C4⋊C4—51no—
461C2×C4⋊C4—51no—
462C2×C4⋊C4—51no—
463C2×C4⋊C4—51no—
464C2×C4⋊C4—108no—
465C2×C4⋊C4—101no—
466C2×C4⋊C4—101no—
467C2×C4⋊C4—101no—
468C2×C4⋊C4—101no—
469C2×C4⋊C4—101no—
470C2×C4⋊C4C22×D511yescharacteristic
471C2×C4⋊C4C22×D511yescharacteristic
472C2×C4⋊C4C22×D511yescharacteristic
473C2×C4⋊C4C22×D511yescharacteristic
474C2×C22⋊C4—101no—
475C2×C22⋊C4—101no—
476C2×C22⋊C4—101no—
477C2×C22⋊C4—101no—
478C2×C22⋊C4—101no—
479C2×C22⋊C4—101no—
480C2×C42—51no—
481C2×C42—51no—
482C2×C42C22×D511yescharacteristic
483#107—54no—
484#107C22×D514yes—
485#107C22×D514yes—
486#106—54no—
487#106—54no—
488#106—54no—
489#106—54no—
490#106C22×D514yes—
491#106C22×D514yes—
492C4⋊C8—54no—
493C4⋊C8—54no—
494C4⋊C8—54no—
495#102—54no—
496#102—54no—
497#102—54no—
498#102—54no—
499#102—54no—
500#102—54no—
501#97—54no—
502#97C22×D514yes—
503C4×C8—54no—
504C22×C5D4×Q812yes—
505C22×C5C2×AGL(1,ℤ/8)12yes—
506C22×C5#57712yes—
507C22×C5C23×D411yescharacteristic
508C2×D5—24no—
509C2×D5—24no—
510C2×D5—48no—
511C2×D5—48no—
512C2×D5—42no—
513C2×D5—42no—
514C2×D5—42no—
515C2×D5—42no—
516C4×C5—22no—
517C4×C5—22no—
518C4×C5—42no—
519C4×C5—42no—
520C4×C5—42no—
521C4×C5—42no—
522C4×C5D4×Q812yes—
523C4×C5C23×Q811yescharacteristic
524C4×C5C2×2−1+411yescharacteristic
525Dic5—22no—
526Dic5—22no—
527Dic5—22no—
528Dic5—42no—
529Dic5—42no—
530Dic5C2×AGL(1,ℤ/8)14yes—
531C24—101no—
532C24—101no—
533C2×Q8—24no—
534C2×Q8—44no—
535C2×Q8—54no—
536C2×Q8—104no—
537C2×Q8—104no—
538C2×Q8—104no—
539C2×Q8—104no—
540C2×Q8—204no—
541C2×Q8—204no—
542C2×Q8—2032no—
543C2×Q8—402no—
544C2×D4—54no—
545C2×D4—54no—
546C2×D4—52no—
547C2×D4—52no—
548C2×D4—101no—
549C2×D4—101no—
550C2×D4—102no—
551C2×D4—102no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—51no—
557C22×C4—51no—
558C22×C4—51no—
559C22×C4—51no—
560C22×C4—104no—
561C22×C4—104no—
562C22×C4—104no—
563C22×C4—104no—
564C22×C4—101no—
565C22×C4—101no—
566C22×C4—104no—
567C22×C4—104no—
568C22×C4—204no—
569C22×C4—204no—
570C22×C4—204no—
571C22×C4—204no—
572C22×C4—402no—
573C22×C4—402no—
574C22×C4D4×D511yescharacteristic
575C22×C4D4×D511yescharacteristic
576C22×C4C23×D511yescharacteristic
577D8—516no—
578C2×C8—22no—
579C2×C8—52no—
580C2×C8—52no—
581C2×C8—102no—
582C2×C8—102no—
583C2×C8Q8×D514yescomplemented
584C2×C8C23×D512yes—
585C2×C8C23×D512yes—
586C4⋊C4—24no—
587C4⋊C4—24no—
588C4⋊C4—24no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—54no—
594C4⋊C4—54no—
595C4⋊C4—54no—
596C4⋊C4—52no—
597C4⋊C4—52no—
598C4⋊C4—104no—
599C4⋊C4—104no—
600C4⋊C4—104no—
601C4⋊C4—104no—
602C4⋊C4—104no—
603C4⋊C4—101no—
604C4⋊C4—101no—
605C4⋊C4C23×D512yes—
606C4⋊C4C23×D512yes—
607C4⋊C4C23×D512yes—
608C4⋊C4C23×D512yes—
609C22⋊C4—104no—
610C22⋊C4—104no—
611C22⋊C4—104no—
612C22⋊C4—104no—
613C22⋊C4—104no—
614C22⋊C4—104no—
615C42—52no—
616C42—52no—
617C42—52no—
618C42—52no—
619C42D4×D512yes—
620C42C23×D512yes—
621C2×C5#338414yescomplemented
622C2×C5C2×D4×Q811yescharacteristic
623C2×C5C22×AGL(1,ℤ/8)11yescharacteristic
624C2×C5C2×#57711yescharacteristic
625D5—44no—
626D5—44no—
627C23—104no—
628C23—104no—
629C23—102no—
630C23—102no—
631C23—202no—
632C23—202no—
633C23—202no—
634C23—202no—
635C23C2×D4×D511yescharacteristic
636Q8—48no—
637Q8—108no—
638Q8—208no—
639Q8—208no—
640Q8—404no—
641D4—54no—
642D4—54no—
643D4—104no—
644D4—104no—
645D4—102no—
646D4—102no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—54no—
658C2×C4—52no—
659C2×C4—52no—
660C2×C4—52no—
661C2×C4—52no—
662C2×C4—102no—
663C2×C4—102no—
664C2×C4—102no—
665C2×C4—102no—
666C2×C4—102no—
667C2×C4—208no—
668C2×C4—208no—
669C2×C4—208no—
670C2×C4—208no—
671C2×C4—202no—
672C2×C4—202no—
673C2×C4—404no—
674C2×C4—404no—
675C2×C4C2×D4×D512yes—
676C2×C4C2×D4×D512yes—
677C2×C4C2×D4×D511yescharacteristic
678C2×C4C2×Q8×D512yes—
679C2×C4#414712yes—
680C2×C4C24×D511yescharacteristic
681C8—22no—
682C8—102no—
683C8—102no—
684C8C2×Q8×D514yescomplemented
685C5C2×#338411yescharacteristic, complemented, Sylow
686C22—104no—
687C22—104no—
688C22—208no—
689C22—208no—
690C22—202no—
691C22—202no—
692C22—202no—
693C22—202no—
694C22#6606112yes—
695C22D5×AGL(1,ℤ/8)12yes—
696C22#6611212yes—
697C22C22×D4×D511yescharacteristic
698C4—22no—
699C4—22no—
700C4—42no—
701C4—42no—
702C4—42no—
703C4—42no—
704C4—54no—
705C4—102no—
706C4—102no—
707C4—102no—
708C4—202no—
709C4—202no—
710C4#6606112yes—
711C4C22×Q8×D511yescharacteristic
712C4C2×#414711yescharacteristic
713C2—204no—
714C2—204no—
715C2#1061369514yesdirect product factor
716C2C2×#6606111yescharacteristic
717C2C2×D5×AGL(1,ℤ/8)11yescharacteristic
718C2C2×#6611211yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#501C2
socleC23×C5C22×D4
prime radicalC22×D40C22
hypercenterC2×#501D5
hypocenterC5C2×#3384
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#501

Complements

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

NH ≅ G/Ntype
1. C2×#66061C2semidirect
2. C2×#66024C2semidirect
3. C2×C5×#501C2semidirect
4. C2×#65373C2semidirect
5. C2×#65355C2semidirect
6. #10613695C2direct (N × H)
7. C2×#65180C2semidirect
8. C2×#65179C2semidirect
9. C2×#65165C2semidirect
11. C2×#65159C2semidirect
12. C2×#65159C2semidirect
13. C2×#65144C2semidirect
16. C2×#64990C2semidirect
23. #66061C22semidirect
25. #66024C22semidirect
43. C5×#501C22semidirect
56. #65373C22semidirect
57. #65355C22semidirect
67. #65180C22semidirect
68. #65179C22semidirect
69. #65165C22semidirect
71. #65159C22semidirect
72. #65159C22semidirect
74. #65144C22semidirect
76. #64990C22semidirect
128. C2×D40Q8semidirect
183. C2×#501D5semidirect
218. C2×D20C2×Q8semidirect
242. C2×C5×C8C2×Q8semidirect
284. D40C2×Q8semidirect
312. #501C2×D5semidirect
388. D20C22×Q8semidirect
400. C5×C8C22×Q8semidirect
583. C2×C8Q8×D5semidirect
621. C2×C5#3384semidirect
684. C8C2×Q8×D5semidirect
685. C5C2×#3384semidirect
715. C2#10613695direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#660612
C2×#660242
C2×C5×#5012
C2×#653732
C2×#653552
#106136952
C2×#651802
C2×#651792
C2×#651652
C2×#651612
C2×#651592
C2×#651442
C2×#651582
C2×#650002
C2×#649902
C2×#33845