Finite Group Databasebeta

← C2×#10612786 #12979772

Subgroups — C2×#10612786 #12979772

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×#65873C211yesmaximal, characteristic, complemented
3C2×C5×#476C211yesmaximal, characteristic, complemented
4C2×#65369C211yesmaximal, characteristic, complemented
5C2×#65303C211yesmaximal, characteristic
6#10612786C2116yesmaximal, direct product factor
7C2×#65160C211yesmaximal, characteristic, complemented
8C2×#65159C211yesmaximal, characteristic, complemented
9C2×#65145C211yesmaximal, characteristic, complemented
10C2×#65144C211yesmaximal, characteristic, complemented
11C2×#65136C211yesmaximal, characteristic, complemented
12C2×#65117C211yesmaximal, characteristic, complemented
13C2×#65050C211yesmaximal, characteristic, complemented
14C2×#65048C211yesmaximal, characteristic, complemented
15C2×#65074C211yesmaximal, characteristic
16C2×#65045C211yesmaximal, characteristic
17C22×Q8×D5—21no—
18C2×C5×C4⋊Q8C2211yescharacteristic
19C2×C4×C5×D4C2211yescharacteristic
20C2×#4092—21no—
21C2×D4×Dic5C2211yescharacteristic
22C2×D4×Dic5C2211yescharacteristic
23C22×#686C2211yescharacteristic
24C2×#4070—21no—
25C22×#683—21no—
26#66061—24no—
27#66061C2218yescomplemented
28#65873—24no—
29#65873C2218yescomplemented
30C2×#4042—21no—
31C2×#4042—21no—
32C2×#4039C2211yescharacteristic
33C2×#4039C2211yescharacteristic
34C2×#4036C2211yescharacteristic
35C2×#4034C2211yescharacteristic
36C2×#4034C2211yescharacteristic
37C2×#4034C2211yescharacteristic
38C2×#4024—21no—
39C2×#4024—21no—
40C2×C4×D20C2211yescharacteristic
41C2×#4016C2211yescharacteristic
42C2×C4×Dic10C2211yescharacteristic
43C5×#476C2218yescomplemented
44C2×C5×#106C2211yescharacteristic
45C2×C5×#106C2211yescharacteristic
46C2×C5×C4⋊C8C2211yescharacteristic
47C2×C5×#102C2211yescharacteristic
48C2×C5×#102C2211yescharacteristic
49C2×#3964C2211yescharacteristic
50C2×#3953C2211yescharacteristic
51C2×#3953C2211yescharacteristic
52C2×#3950C2211yescharacteristic
53C2×#3949C2211yescharacteristic
54C2×#3947C2211yescharacteristic
55C2×#3946C2211yescharacteristic
56C2×#3946C2211yescharacteristic
57C2×C8×Dic5C2211yescharacteristic
58#65369C2218yescomplemented
59#65303C2218yes—
60C2×#3941C2211yescharacteristic
61C2×#3940C2211yescharacteristic
62C2×#3940C2211yescharacteristic
63C2×#3940C2211yescharacteristic
64C2×#3939C2211yescharacteristic
65C2×#3939C2211yescharacteristic
66C2×#3935C2211yescharacteristic
67#65160C2218yescomplemented
68#65159C2218yescomplemented
69#65145C2218yescomplemented
70#65144C2218yescomplemented
71#65136C2218yescomplemented
72#65117C2218yescomplemented
73#65074C2218yes—
74#65050C2218yescomplemented
75#65048C2218yescomplemented
76#65045C2218yes—
77C2×#3384—51nomaximal, Sylow
78C22×C5×Q8—21no—
79C22×C5×D4C2311yescharacteristic
80C23×C4×C5—21no—
81C23×Dic5—21no—
82C23×Dic5—21no—
83C2×Q8×D5—28no—
84C2×Q8×D5—48no—
85C22×D20C2311yescharacteristic
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—
97C4×C5×D4—22no—
98C4×C5×D4C2314yes—
99C2×C5×C4⋊C4—21no—
100C2×C5×C4⋊C4C2311yescharacteristic
101C2×C5×C4⋊C4C2311yescharacteristic
102C2×C5×C4⋊C4C2311yescharacteristic
103C2×C5×C22⋊C4—21no—
104C2×C42×C5C2311yescharacteristic
105C2×C22⋊Dic5—21no—
106C2×C22⋊Dic5—21no—
107#4092—28no—
108D4×Dic5—22no—
109D4×Dic5—22no—
110D4×Dic5C2314yes—
111D4×Dic5C2314yes—
112C2×#686Q818yescomplemented
113C2×#686C2314yes—
114C2×#685—21no—
115C2×#685—21no—
116C2×#685—21no—
117C2×C4⋊Dic5—21no—
118C2×C4⋊Dic5D411yescharacteristic
119C2×C4⋊Dic5C2311yescharacteristic
120C2×C4⋊Dic5C2311yescharacteristic
121C2×C4⋊Dic5C2311yescharacteristic
122#4070—28no—
123C2×#683—21no—
124C2×#683—21no—
125C2×#683—21no—
126C2×#683—21no—
127C2×#683—21no—
128C2×#683—21no—
129C2×#683—28no—
130C2×#683D411yescharacteristic
131C2×#683D411yescharacteristic
132C2×C4×Dic5C2311yescharacteristic
133C2×C4×Dic5C2311yescharacteristic
134C22×#168C2311yescharacteristic
135C22×#168C2311yescharacteristic
136#4042—28no—
137#4042—28no—
138#4039—22no—
139#4039—22no—
140#4039C2314yes—
141#4039C2314yes—
142#4036—22no—
143#4036C2314yes—
144#4034—22no—
145#4034—22no—
146#4034—22no—
147#4034C2314yes—
148#4034C2314yes—
149#4034C2314yes—
150#4024—28no—
151#4024—28no—
152C4×D20—22no—
153C4×D20C2314yes—
154#4016—22no—
155#4016C2314yes—
156C4×Dic10D414yes—
157C4×Dic10C2314yes—
158C5×#106C2314yes—
159C5×#106C2314yes—
160C5×C4⋊C8C2314yes—
161C5×#102C2314yes—
162C5×#102C2314yes—
163#3964C2314yes—
164#3953C2314yes—
165#3953C2314yes—
166#3950C2314yes—
167#3949C2314yes—
168#3947C2314yes—
169#3946C2314yes—
170#3946C2314yes—
171C8×Dic5C2314yes—
172#3941C2314yes—
173#3940C2314yes—
174#3940C2314yes—
175#3940C2314yes—
176#3939C2314yes—
177#3939C2314yes—
178#3935C2314yes—
179C2×#554—51no—
180C2×D4×Q8—51no—
181#3384—516no—
182C2×#501—51no—
183C2×#501—51no—
184C2×#498—51no—
185C2×#478—51no—
186C2×#478—51no—
187C2×#476—51no—
188C2×#476—51no—
189C2×#476D511yescharacteristic, complemented
190C2×#474—51no—
191C2×#446—51no—
192C2×#442—51no—
193C2×#442—51no—
194C2×C4×D8—51no—
195C24×C5—21no—
196C23×D5—21no—
197C2×C5×Q8—24no—
198C2×C5×Q8—44no—
199C2×C5×D4—21no—
200C2×C5×D4—22no—
201C2×C5×D4C2×Q814yescomplemented
202C2×C5×D4C2412yes—
203C22×C4×C5—21no—
204C22×C4×C5—21no—
205C22×C4×C5—21no—
206C22×C4×C5—24no—
207C22×C4×C5—82no—
208C22×C4×C5C2×D411yescharacteristic
209C22×C4×C5C2×D411yescharacteristic
210C22×C4×C5C2411yescharacteristic
211C22×Dic5—21no—
212C22×Dic5—21no—
213C22×Dic5—21no—
214C22×Dic5—24no—
215C22×Dic5—24no—
216C22×Dic5—44no—
217C22×Dic5—82no—
218C22×Dic5C2×D411yescharacteristic
219C22×Dic5C2×D411yescharacteristic
220C22×Dic5C2×D411yescharacteristic
221C22×Dic5C2×D411yescharacteristic
222Q8×D5—432no—
223C2×D20—21no—
224C2×D20—22no—
225C2×D20C2×Q814yes—
226C2×D20C2412yes—
227C2×C4×D5—24no—
228C2×C4×D5—24no—
229C2×C4×D5—24no—
230C2×C4×D5—44no—
231C2×C4×D5—44no—
232C2×C4×D5—44no—
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×C8—22no—
243C2×C5×C8C2412yes—
244C2×C5×C8C2412yes—
245C5×C4⋊C4—24no—
246C5×C4⋊C4—21no—
247C5×C4⋊C4—21no—
248C5×C4⋊C4—21no—
249C5×C4⋊C4C2412yes—
250C5×C4⋊C4C2412yes—
251C5×C4⋊C4C2412yes—
252C5×C22⋊C4—24no—
253C42×C5C2×D412yes—
254C42×C5C2412yes—
255C22⋊Dic5—24no—
256C22⋊Dic5—24no—
257#686C2×Q8116yescomplemented
258#685—24no—
259#685—24no—
260#685—24no—
261C4⋊Dic5—21no—
262C4⋊Dic5—21no—
263C4⋊Dic5—21no—
264C4⋊Dic5—24no—
265C4⋊Dic5C2×D414yes—
266C4⋊Dic5C2412yes—
267C4⋊Dic5C2412yes—
268C4⋊Dic5C2412yes—
269#683—24no—
270#683—24no—
271#683—24no—
272#683—24no—
273#683—24no—
274#683—24no—
275#683C2×D414yes—
276#683C2×D414yes—
277C4×Dic5C2×D412yes—
278C4×Dic5C2×D412yes—
279C4×Dic5C2412yes—
280C4×Dic5C2412yes—
281C2×#168—22no—
282C2×#168C2×Q814yescomplemented
283C2×#168C2412yes—
284C2×#168C2412yes—
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×#125—51no—
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×D4C2×D511yescharacteristic
310C22×C4⋊C4—101no—
311#501—58no—
312#501—58no—
313#498—58no—
314#478—58no—
315#478—58no—
316#476—58no—
317#476—58no—
318#476C2×D518yescomplemented
319#474—58no—
320#446—58no—
321#442—58no—
322#442—58no—
323C4×D8—58no—
324C2×#107—51no—
325C2×#107—51no—
326C2×#107—51no—
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⋊C8C2×D511yescharacteristic
336C2×#102—51no—
337C2×#102—51no—
338C2×#102—51no—
339C2×#102—51no—
340C2×#102C2×D511yescharacteristic
341C2×#102C2×D511yescharacteristic
342C2×#97—51no—
343C2×#97—51no—
344C2×C4×C8—51no—
345C23×C5—24no—
346C23×C5—22no—
347C23×C5—42no—
348C23×C5—42no—
349C23×C5C22×D411yescharacteristic
350C22×D5—24no—
351C22×D5—22no—
352C22×D5—42no—
353C22×D5—42no—
354C5×Q8—48no—
355C5×D4—24no—
356C5×D4—22no—
357C5×D4C22×Q814yescomplemented
358C2×C4×C5—22no—
359C2×C4×C5—22no—
360C2×C4×C5—22no—
361C2×C4×C5—22no—
362C2×C4×C5—22no—
363C2×C4×C5—42no—
364C2×C4×C5—42no—
365C2×C4×C5—42no—
366C2×C4×C5—84no—
367C2×C4×C5C22×D412yes—
368C2×C4×C5C22×D412yes—
369C2×C4×C5C22×D411yescharacteristic
370C2×C4×C5C22×Q812yes—
371C2×C4×C52−1+412yes—
372C2×C4×C5C2511yescharacteristic
373C2×Dic5—22no—
374C2×Dic5—22no—
375C2×Dic5—22no—
376C2×Dic5—22no—
377C2×Dic5—22no—
378C2×Dic5—22no—
379C2×Dic5—42no—
380C2×Dic5—42no—
381C2×Dic5—42no—
382C2×Dic5—48no—
383C2×Dic5—84no—
384C2×Dic5AGL(1,ℤ/8)14yes—
385C2×Dic5C22×D412yes—
386C2×Dic5C22×D412yes—
387C2×Dic5C22×D412yes—
388C2×Dic5C22×D412yes—
389D20—24no—
390D20—22no—
391D20C22×Q814yes—
392C4×D5—48no—
393C4×D5—48no—
394C4×D5—48no—
395Dic10—28no—
396Dic10—48no—
397Dic10—48no—
398Dic10—84no—
399C5×C8—22no—
400C5×C8—22no—
401#168—22no—
402#168C22×Q814yescomplemented
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×D4C22×D511yescharacteristic
412C23×C4—21no—
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—54no—
433#125—54no—
434#125—102no—
435#125—102no—
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—22no—
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×D4C22×D514yes—
456C2×C4⋊C4—21no—
457C2×C4⋊C4—51no—
458C2×C4⋊C4—51no—
459C2×C4⋊C4—51no—
460C2×C4⋊C4—51no—
461C2×C4⋊C4—51no—
462C2×C4⋊C4—51no—
463C2×C4⋊C4—108no—
464C2×C4⋊C4—101no—
465C2×C4⋊C4—101no—
466C2×C4⋊C4—101no—
467C2×C4⋊C4—101no—
468C2×C4⋊C4—101no—
469C2×C4⋊C4—101no—
470C2×C4⋊C4—101no—
471C2×C4⋊C4C22×D511yescharacteristic
472C2×C4⋊C4C22×D511yescharacteristic
473C2×C4⋊C4C22×D511yescharacteristic
474C2×C22⋊C4—21no—
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#107—54no—
485#107—54no—
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⋊C8C22×D514yes—
495#102—54no—
496#102—54no—
497#102—54no—
498#102—54no—
499#102C22×D514yes—
500#102C22×D514yes—
501#97—54no—
502#97—54no—
503C4×C8—54no—
504C22×C5—24no—
505C22×C5—48no—
506C22×C5—42no—
507C22×C5—42no—
508C22×C5D4×Q812yes—
509C22×C5C2×AGL(1,ℤ/8)12yes—
510C22×C5#57712yes—
511C22×C5C23×D411yescharacteristic
512C2×D5—24no—
513C2×D5—48no—
514C2×D5—42no—
515C2×D5—42no—
516C4×C5—22no—
517C4×C5—22no—
518C4×C5—42no—
519C4×C5—42no—
520C4×C5—42no—
521C4×C5D4×Q812yes—
522C4×C5C23×Q811yescharacteristic
523C4×C5C2×2−1+411yescharacteristic
524Dic5—22no—
525Dic5—22no—
526Dic5—22no—
527Dic5—42no—
528Dic5—42no—
529Dic5—42no—
530Dic5C2×AGL(1,ℤ/8)14yes—
531C24—21no—
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—21no—
545C2×D4—22no—
546C2×D4—54no—
547C2×D4—52no—
548C2×D4—101no—
549C2×D4—102no—
550C2×D4Q8×D514yescomplemented
551C2×D4C23×D512yes—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—24no—
556C22×C4—51no—
557C22×C4—51no—
558C22×C4—51no—
559C22×C4—51no—
560C22×C4—82no—
561C22×C4—104no—
562C22×C4—104no—
563C22×C4—104no—
564C22×C4—104no—
565C22×C4—101no—
566C22×C4—101no—
567C22×C4—101no—
568C22×C4—104no—
569C22×C4—204no—
570C22×C4—204no—
571C22×C4—204no—
572C22×C4—204no—
573C22×C4—402no—
574C22×C4D4×D511yescharacteristic
575C22×C4D4×D511yescharacteristic
576C22×C4C23×D511yescharacteristic
577D8—516no—
578C2×C8—22no—
579C2×C8—22no—
580C2×C8—54no—
581C2×C8—52no—
582C2×C8—52no—
583C2×C8—102no—
584C2×C8C23×D512yes—
585C2×C8C23×D512yes—
586C4⋊C4—24no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—54no—
591C4⋊C4—54no—
592C4⋊C4—54no—
593C4⋊C4—52no—
594C4⋊C4—52no—
595C4⋊C4—52no—
596C4⋊C4—104no—
597C4⋊C4—104no—
598C4⋊C4—104no—
599C4⋊C4—104no—
600C4⋊C4—104no—
601C4⋊C4—101no—
602C4⋊C4—101no—
603C4⋊C4—101no—
604C4⋊C4—104no—
605C4⋊C4—104no—
606C4⋊C4C23×D512yes—
607C4⋊C4C23×D512yes—
608C4⋊C4C23×D512yes—
609C22⋊C4—24no—
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—44no—
622C2×C5#338414yescomplemented
623C2×C5C2×D4×Q811yescharacteristic
624C2×C5C22×AGL(1,ℤ/8)11yescharacteristic
625C2×C5C2×#57711yescharacteristic
626D5—44no—
627C23—24no—
628C23—22no—
629C23—42no—
630C23—42no—
631C23—104no—
632C23—102no—
633C23—202no—
634C23—202no—
635C23C2×D4×D511yescharacteristic
636Q8—48no—
637Q8—108no—
638Q8—208no—
639Q8—208no—
640Q8—404no—
641D4—24no—
642D4—22no—
643D4—54no—
644D4—104no—
645D4—102no—
646D4C2×Q8×D514yescomplemented
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—54no—
656C2×C4—52no—
657C2×C4—52no—
658C2×C4—52no—
659C2×C4—52no—
660C2×C4—84no—
661C2×C4—102no—
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—202no—
674C2×C4—404no—
675C2×C4C2×D4×D512yes—
676C2×C4C2×D4×D512yes—
677C2×C4C2×D4×D511yescharacteristic
678C2×C4C2×Q8×D512yes—
679C2×C4#415012yes—
680C2×C4C24×D511yescharacteristic
681C8—22no—
682C8—22no—
683C8—54no—
684C8—102no—
685C5C2×#338411yescharacteristic, complemented, Sylow
686C22—24no—
687C22—48no—
688C22—42no—
689C22—42no—
690C22—104no—
691C22—208no—
692C22—202no—
693C22—202no—
694C22#6596612yes—
695C22#6609612yes—
696C22D5×AGL(1,ℤ/8)12yes—
697C22C22×D4×D511yescharacteristic
698C4—22no—
699C4—22no—
700C4—42no—
701C4—42no—
702C4—42no—
703C4—54no—
704C4—102no—
705C4—102no—
706C4—102no—
707C4—202no—
708C4—202no—
709C4—202no—
710C4#6596612yes—
711C4C22×Q8×D511yescharacteristic
712C4C2×#415011yescharacteristic
713C2—44no—
714C2—204no—
715C2#1061278614yesdirect product factor
716C2C2×#6596611yescharacteristic
717C2C2×#6609611yescharacteristic
718C2C2×D5×AGL(1,ℤ/8)11yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#476C2
socleC23×C5C22×D4
prime radicalC22×#686C22
hypercenterC2×#476D5
hypocenterC5C2×#3384
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#476

Complements

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

NH ≅ G/Ntype
1. C2×#66061C2semidirect
2. C2×#65873C2semidirect
3. C2×C5×#476C2semidirect
4. C2×#65369C2semidirect
6. #10612786C2direct (N × H)
7. C2×#65160C2semidirect
8. C2×#65159C2semidirect
9. C2×#65145C2semidirect
10. C2×#65144C2semidirect
11. C2×#65136C2semidirect
12. C2×#65117C2semidirect
13. C2×#65050C2semidirect
14. C2×#65048C2semidirect
27. #66061C22semidirect
29. #65873C22semidirect
43. C5×#476C22semidirect
58. #65369C22semidirect
67. #65160C22semidirect
68. #65159C22semidirect
69. #65145C22semidirect
70. #65144C22semidirect
71. #65136C22semidirect
72. #65117C22semidirect
74. #65050C22semidirect
75. #65048C22semidirect
112. C2×#686Q8semidirect
189. C2×#476D5semidirect
201. C2×C5×D4C2×Q8semidirect
257. #686C2×Q8semidirect
282. C2×#168C2×Q8semidirect
318. #476C2×D5semidirect
357. C5×D4C22×Q8semidirect
402. #168C22×Q8semidirect
550. C2×D4Q8×D5semidirect
622. C2×C5#3384semidirect
646. D4C2×Q8×D5semidirect
685. C5C2×#3384semidirect
715. C2#10612786direct (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×#658732
C2×C5×#4762
C2×#653692
C2×#653032
#106127862
C2×#651602
C2×#651592
C2×#651452
C2×#651442
C2×#651362
C2×#651172
C2×#650502
C2×#650482
C2×#650742
C2×#650452
C2×#33845