Finite Group Databasebeta

← C2×#10611908 #12967650

Subgroups — C2×#10611908 #12967650

Order 1280.

1994 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×#66146C211yesmaximal, characteristic
2C2×#65959C211yesmaximal, characteristic
3C2×C5×#451C211yesmaximal, characteristic
4C2×#65517C211yesmaximal, characteristic
5C2×#65471C211yesmaximal, characteristic, complemented
6C2×#65471C211yesmaximal, characteristic, complemented
7C2×#65473C211yesmaximal, characteristic, complemented
8C2×Q16×Dic5C211yesmaximal, characteristic, complemented
9C2×#65334C211yesmaximal, characteristic
10#10611908C2116yesmaximal, direct product factor
11C2×#65085C211yesmaximal, characteristic, complemented
12C2×#65088C211yesmaximal, characteristic, complemented
13C2×#65078C211yesmaximal, characteristic, complemented
14C2×#65079C211yesmaximal, characteristic, complemented
15C2×#65012C211yesmaximal, characteristic
16C2×#65009C211yesmaximal, characteristic
17C23×C5×Q8C2211yescharacteristic
18C22×C5×Q16C2211yescharacteristic
19C22×C5×Q16C2211yescharacteristic
20C2×C5×C22⋊Q8C2211yescharacteristic
21#66146—24no—
22#66146C2218yes—
23C2×Q8×Dic5—21no—
24C2×Q8×Dic5—21no—
25C2×Q8×Dic5C2211yescharacteristic
26C2×Q8×Dic5C2211yescharacteristic
27C2×Q8×Dic5C2211yescharacteristic
28C2×Q8×Dic5C2211yescharacteristic
29C2×Q8×Dic5C2211yescharacteristic
30C2×#4090C2211yescharacteristic
31C22×#689C2211yescharacteristic
32C22×#689C2211yescharacteristic
33C2×#4072—21no—
34C2×#4072—21no—
35C2×#4072C2211yescharacteristic
36C2×#4072C2211yescharacteristic
37C2×#4070C2211yescharacteristic
38#65959—24no—
39#65959C2218yes—
40C2×#4036—21no—
41C2×#4036C2211yescharacteristic
42C2×#4035—21no—
43C2×#4033C2211yescharacteristic
44C2×#4025—21no—
45C2×#4025—21no—
46C5×#451C2218yes—
47C2×C5×#103C2211yescharacteristic
48C2×C5×#103C2211yescharacteristic
49C2×C5×C22⋊C8C2211yescharacteristic
50#65517C2218yes—
51C2×#3967C2211yescharacteristic
52C2×#3967C2211yescharacteristic
53C2×#3967C2211yescharacteristic
54C2×#3967C2211yescharacteristic
55C2×C22⋊#168C2211yescharacteristic
56#65473C2218yescomplemented
57Q16×Dic5C2218yescomplemented
58#65471C2218yescomplemented
59#65471C2218yescomplemented
60C2×#3950C2211yescharacteristic
61C2×#3949C2211yescharacteristic
62C2×#3948C2211yescharacteristic
63C2×#3948C2211yescharacteristic
64C2×#3947C2211yescharacteristic
65C2×#3946C2211yescharacteristic
66C2×#3946C2211yescharacteristic
67C2×C8×Dic5C2211yescharacteristic
68#65334C2218yes—
69C2×#3940C2211yescharacteristic
70C2×#3939C2211yescharacteristic
71#65088C2218yescomplemented
72#65085C2218yescomplemented
73#65079C2218yescomplemented
74#65078C2218yescomplemented
75#65012C2218yes—
76#65009C2218yes—
77C2×#3127—51nomaximal, Sylow
78C22×C5×Q8—24no—
79C22×C5×Q8—24no—
80C22×C5×Q8—21no—
81C22×C5×Q8—22no—
82C22×C5×Q8C2314yes—
83C22×C5×Q8C2311yescharacteristic
84C22×C5×Q8C2311yescharacteristic
85C22×C5×Q8C2311yescharacteristic
86C23×C4×C5—21no—
87C23×C4×C5C2311yescharacteristic
88C22×Dic10C2311yescharacteristic
89C2×C5×Q16—24no—
90C2×C5×Q16—24no—
91C2×C5×Q16C2314yes—
92C2×C5×Q16C2314yes—
93C22×C5×C8C2311yescharacteristic
94C22×C5×C8C2311yescharacteristic
95C5×C22⋊Q8—22no—
96C5×C22⋊Q8C2314yes—
97C2×C5×C4⋊C4—21no—
98C2×C5×C4⋊C4C2311yescharacteristic
99C2×C5×C22⋊C4—21no—
100C2×C22⋊Dic5—21no—
101C2×C22⋊Dic5—21no—
102C2×C22⋊Dic5D411yescharacteristic
103C2×C22⋊Dic5D411yescharacteristic
104Q8×Dic5—28no—
105Q8×Dic5—28no—
106Q8×Dic5—22no—
107Q8×Dic5—22no—
108Q8×Dic5—22no—
109Q8×Dic5—22no—
110Q8×Dic5—22no—
111Q8×Dic5C2314yes—
112Q8×Dic5C2314yes—
113Q8×Dic5C2314yes—
114Q8×Dic5C2314yes—
115Q8×Dic5C2314yes—
116#4090—22no—
117#4090C2314yes—
118C2×#689—24no—
119C2×#689—24no—
120C2×#689C2314yes—
121C2×#689C2314yes—
122#4072—22no—
123#4072—28no—
124#4072—28no—
125#4072D414yes—
126#4072C2314yes—
127#4072C2314yes—
128C2×C4⋊Dic5—21no—
129C2×C4⋊Dic5—21no—
130C2×C4⋊Dic5—21no—
131C2×C4⋊Dic5—21no—
132C2×C4⋊Dic5—21no—
133C2×C4⋊Dic5—21no—
134C2×C4⋊Dic5D411yescharacteristic
135C2×C4⋊Dic5D411yescharacteristic
136C2×C4⋊Dic5C2311yescharacteristic
137C2×C4⋊Dic5C2311yescharacteristic
138C2×C4⋊Dic5C2311yescharacteristic
139#4070—22no—
140#4070C2314yes—
141C2×#683—21no—
142C2×#683—21no—
143C2×#683—21no—
144C2×#683—21no—
145C2×#683—21no—
146C2×C4×Dic5—21no—
147C2×C4×Dic5—21no—
148C2×C4×Dic5—21no—
149C2×C4×Dic5—21no—
150C2×C4×Dic5—21no—
151C2×C4×Dic5—21no—
152C2×C4×Dic5—21no—
153C2×C4×Dic5C2311yescharacteristic
154C2×C4×Dic5C2311yescharacteristic
155C22×#168C2311yescharacteristic
156C22×#168C2311yescharacteristic
157#4036—28no—
158#4036—22no—
159#4036C2314yes—
160#4035—28no—
161#4033—22no—
162#4033C2314yes—
163#4025—28no—
164#4025—28no—
165C5×#103C2314yes—
166C5×#103C2314yes—
167C5×C22⋊C8C2314yes—
168#3967C2314yes—
169#3967C2314yes—
170#3967C2314yes—
171#3967C2314yes—
172C22⋊#168C2314yes—
173#3950C2314yes—
174#3949C2314yes—
175#3948C2314yes—
176#3948C2314yes—
177#3947C2314yes—
178#3946C2314yes—
179#3946C2314yes—
180C8×Dic5C2314yes—
181#3940C2314yes—
182#3939C2314yes—
183C2×#541—51no—
184C2×#519—51no—
185#3127—516no—
186C2×#485—51no—
187C2×#485—51no—
188C2×#479—51no—
189C2×#479—51no—
190C2×#462—51no—
191C2×#462—51no—
192C2×#451—51no—
193C2×#451D511yescharacteristic
194C2×#441—51no—
195C2×#441—51no—
196C2×C4×Q16—51no—
197C2×C4×Q16—51no—
198C2×#433—51no—
199C24×C5C2×D411yescharacteristic
200C2×C5×Q8—216no—
201C2×C5×Q8—28no—
202C2×C5×Q8—28no—
203C2×C5×Q8—28no—
204C2×C5×Q8—24no—
205C2×C5×Q8—21no—
206C2×C5×Q8—21no—
207C2×C5×Q8—21no—
208C2×C5×Q8—22no—
209C2×C5×Q8—22no—
210C2×C5×Q8—22no—
211C2×C5×Q8—22no—
212C2×C5×Q8#4114yes—
213C2×C5×Q8#4114yes—
214C2×C5×Q8C2412yes—
215C2×C5×Q8C2412yes—
216C2×C5×Q8C2412yes—
217C22×C4×C5—28no—
218C22×C4×C5—21no—
219C22×C4×C5—21no—
220C22×C4×C5—24no—
221C22×C4×C5—22no—
222C22×C4×C5—22no—
223C22×C4×C5—21no—
224C22×C4×C5—21no—
225C22×C4×C5C2×D411yescharacteristic
226C22×C4×C5C2×D412yes—
227C22×C4×C5C2412yes—
228C22×C4×C5C2411yescharacteristic
229C22×Dic5—21no—
230C22×Dic5—21no—
231C22×Dic5—21no—
232C22×Dic5—21no—
233C22×Dic5C2×D411yescharacteristic
234C22×Dic5C2×D411yescharacteristic
235C22×Dic5C2×D411yescharacteristic
236C22×Dic5C2×D411yescharacteristic
237C2×Dic10—22no—
238C2×Dic10—22no—
239C2×Dic10—21no—
240C2×Dic10C2412yes—
241C5×Q16—28no—
242C5×Q16—28no—
243C2×C5×C8—22no—
244C2×C5×C8—22no—
245C2×C5×C8C2412yes—
246C2×C5×C8C2412yes—
247C5×C4⋊C4—24no—
248C5×C4⋊C4—21no—
249C5×C4⋊C4C2412yes—
250C5×C22⋊C4—24no—
251C22⋊Dic5—24no—
252C22⋊Dic5—24no—
253C22⋊Dic5C2×D414yes—
254C22⋊Dic5C2×D414yes—
255#689—28no—
256#689—28no—
257C4⋊Dic5—21no—
258C4⋊Dic5—21no—
259C4⋊Dic5—21no—
260C4⋊Dic5—24no—
261C4⋊Dic5—24no—
262C4⋊Dic5—24no—
263C4⋊Dic5—24no—
264C4⋊Dic5—24no—
265C4⋊Dic5—24no—
266C4⋊Dic5C2×D414yes—
267C4⋊Dic5C2×D414yes—
268C4⋊Dic5C2412yes—
269C4⋊Dic5C2412yes—
270C4⋊Dic5C2412yes—
271#683—24no—
272#683—24no—
273#683—24no—
274#683—24no—
275#683—24no—
276C4×Dic5—24no—
277C4×Dic5—24no—
278C4×Dic5—24no—
279C4×Dic5—24no—
280C4×Dic5—24no—
281C4×Dic5—24no—
282C4×Dic5—24no—
283C4×Dic5C2×D412yes—
284C4×Dic5C2×D412yes—
285C4×Dic5C2412yes—
286C4×Dic5C2412yes—
287C2×#168—22no—
288C2×#168—22no—
289C2×#168C2412yes—
290C2×#168C2412yes—
291C23×Q8C2×D511yescharacteristic
292C22×Q16—51no—
293C22×Q16—51no—
294C22×Q16C2×D511yescharacteristic
295C22×Q16C2×D511yescharacteristic
296#541—58no—
297#541—104no—
298C2×C4⋊Q8—51no—
299C2×#126—101no—
300C2×#126—101no—
301C2×#125—51no—
302C2×#125—101no—
303C2×#125—101no—
304C2×C22⋊Q8—51no—
305C2×C22⋊Q8C2×D511yescharacteristic
306#519—58no—
307#519—104no—
308C2×C4×Q8—51no—
309C2×C4×Q8—51no—
310C2×C4×Q8—51no—
311C2×C4×Q8—51no—
312C2×C4×Q8—51no—
313C2×C4×Q8—51no—
314C2×C4×Q8—101no—
315C2×C4×Q8—101no—
316C2×#117—51no—
317C2×#117—51no—
318C2×#117—101no—
319C2×#117—101no—
320#485—58no—
321#485—58no—
322#479—58no—
323#479—58no—
324#462—58no—
325#462—58no—
326#451—58no—
327#451C2×D518yes—
328#441—58no—
329#441—58no—
330C4×Q16—58no—
331C4×Q16—58no—
332#433—58no—
333C2×#107—51no—
334C2×#107—51no—
335C2×#106—51no—
336C2×#106—51no—
337C2×C4⋊C8—51no—
338C2×C4⋊C8—51no—
339C2×#103—51no—
340C2×#103—51no—
341C2×#103—51no—
342C2×#103—51no—
343C2×#103—51no—
344C2×#103—51no—
345C2×#103C2×D511yescharacteristic
346C2×#103C2×D511yescharacteristic
347C2×C22⋊C8—51no—
348C2×C22⋊C8C2×D511yescharacteristic
349C2×#97—51no—
350C2×C4×C8—51no—
351C23×C5—22no—
352C23×C5—22no—
353C23×C5—22no—
354C23×C5C22×D412yes—
355C23×C5C22×D411yescharacteristic
356C5×Q8—216no—
357C5×Q8—24no—
358C5×Q8—24no—
359C5×Q8—22no—
360C5×Q8—22no—
361C5×Q8—22no—
362C5×Q8—22no—
363C5×Q8—42no—
364C5×Q8C2×#4114yes—
365C5×Q8C2×#4114yes—
366C2×C4×C5—216no—
367C2×C4×C5—24no—
368C2×C4×C5—24no—
369C2×C4×C5—22no—
370C2×C4×C5—22no—
371C2×C4×C5—22no—
372C2×C4×C5—24no—
373C2×C4×C5—22no—
374C2×C4×C5—22no—
375C2×C4×C5—22no—
376C2×C4×C5—22no—
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—22no—
385C2×Dic5—22no—
386C2×Dic5—22no—
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×Dic5—42no—
396C2×Dic5C22×D412yes—
397C2×Dic5C22×D412yes—
398C2×Dic5C22×D412yes—
399C2×Dic5C22×D412yes—
400Dic10—22no—
401Dic10—22no—
402Dic10—42no—
403C5×C8—22no—
404C5×C8—22no—
405#168—22no—
406#168—22no—
407C22×Q8—24no—
408C22×Q8—24no—
409C22×Q8—21no—
410C22×Q8—22no—
411C22×Q8—51no—
412C22×Q8C22×D511yescharacteristic
413C22×Q8C22×D514yes—
414C22×Q8C22×D511yescharacteristic
415C22×Q8C22×D511yescharacteristic
416C23×C4—21no—
417C23×C4C22×D511yescharacteristic
418C2×Q16—24no—
419C2×Q16—24no—
420C2×Q16—54no—
421C2×Q16—54no—
422C2×Q16—104no—
423C2×Q16—104no—
424C2×Q16C22×D514yes—
425C2×Q16C22×D514yes—
426C22×C8—51no—
427C22×C8—51no—
428C22×C8C22×D511yescharacteristic
429C22×C8C22×D511yescharacteristic
430C4⋊Q8—54no—
431C4⋊Q8—102no—
432#126—108no—
433#126—108no—
434#125—54no—
435#125—102no—
436#125—108no—
437#125—108no—
438C22⋊Q8—22no—
439C22⋊Q8—54no—
440C22⋊Q8—102no—
441C22⋊Q8C22×D514yes—
442C4×Q8—54no—
443C4×Q8—54no—
444C4×Q8—54no—
445C4×Q8—54no—
446C4×Q8—54no—
447C4×Q8—54no—
448C4×Q8—102no—
449C4×Q8—102no—
450C4×Q8—102no—
451C4×Q8—102no—
452C4×Q8—102no—
453C4×Q8—102no—
454C4×Q8—108no—
455C4×Q8—108no—
456#117—54no—
457#117—54no—
458#117—54no—
459#117—108no—
460#117—108no—
461#117—102no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4—51no—
464C2×C4⋊C4—51no—
465C2×C4⋊C4—51no—
466C2×C4⋊C4—51no—
467C2×C4⋊C4—51no—
468C2×C4⋊C4—101no—
469C2×C4⋊C4—101no—
470C2×C4⋊C4—101no—
471C2×C4⋊C4—101no—
472C2×C4⋊C4—101no—
473C2×C4⋊C4—101no—
474C2×C4⋊C4—101no—
475C2×C4⋊C4—101no—
476C2×C4⋊C4—101no—
477C2×C4⋊C4—101no—
478C2×C4⋊C4—101no—
479C2×C4⋊C4C22×D511yescharacteristic
480C2×C22⋊C4—21no—
481C2×C22⋊C4—51no—
482C2×C22⋊C4—51no—
483C2×C22⋊C4—101no—
484C2×C22⋊C4—101no—
485C2×C42—51no—
486C2×C42—51no—
487C2×C42—101no—
488C2×C42—101no—
489C2×C42—101no—
490C2×C42—101no—
491C2×C42—101no—
492C2×C42—101no—
493C2×C42—101no—
494#107—54no—
495#107—54no—
496#106—54no—
497#106—54no—
498C4⋊C8—54no—
499C4⋊C8—54no—
500#103—54no—
501#103—54no—
502#103—54no—
503#103—54no—
504#103—54no—
505#103—54no—
506#103C22×D514yes—
507#103C22×D514yes—
508C22⋊C8—54no—
509C22⋊C8C22×D514yes—
510#97—54no—
511C4×C8—54no—
512C22×C5—22no—
513C22×C5—22no—
514C22×C5—22no—
515C22×C5—44no—
516C22×C5#52512yes—
517C22×C5#57812yes—
518C22×C5#57812yes—
519C22×C5C23×D411yescharacteristic
520C4×C5—24no—
521C4×C5—24no—
522C4×C5—22no—
523C4×C5—42no—
524C4×C5—42no—
525C4×C5#52512yes—
526C4×C5C22×#4111yescharacteristic
527C4×C5C22×#4111yescharacteristic
528Dic5—22no—
529Dic5—22no—
530Dic5—22no—
531Dic5—22no—
532Dic5—42no—
533Dic5—42no—
534Dic5—42no—
535Dic5—42no—
536C24D4×D511yescharacteristic
537C2×Q8—216no—
538C2×Q8—28no—
539C2×Q8—28no—
540C2×Q8—28no—
541C2×Q8—24no—
542C2×Q8—21no—
543C2×Q8—21no—
544C2×Q8—21no—
545C2×Q8—22no—
546C2×Q8—22no—
547C2×Q8—22no—
548C2×Q8—22no—
549C2×Q8—52no—
550C2×Q8—101no—
551C2×Q8—102no—
552C2×Q8—102no—
553C2×Q8#71114yes—
554C2×Q8#71114yes—
555C2×Q8C23×D512yes—
556C2×Q8C23×D512yes—
557C2×Q8C23×D512yes—
558C22×C4—28no—
559C22×C4—24no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—22no—
563C22×C4—22no—
564C22×C4—21no—
565C22×C4—21no—
566C22×C4—51no—
567C22×C4—51no—
568C22×C4—51no—
569C22×C4—51no—
570C22×C4—101no—
571C22×C4—101no—
572C22×C4—101no—
573C22×C4—101no—
574C22×C4D4×D512yes—
575C22×C4D4×D511yescharacteristic
576C22×C4C23×D512yes—
577C22×C4C23×D511yescharacteristic
578Q16—28no—
579Q16—28no—
580Q16—108no—
581Q16—108no—
582C2×C8—22no—
583C2×C8—22no—
584C2×C8—52no—
585C2×C8—52no—
586C2×C8—102no—
587C2×C8—102no—
588C2×C8C23×D512yes—
589C2×C8C23×D512yes—
590C4⋊C4—24no—
591C4⋊C4—21no—
592C4⋊C4—54no—
593C4⋊C4—54no—
594C4⋊C4—52no—
595C4⋊C4—52no—
596C4⋊C4—52no—
597C4⋊C4—104no—
598C4⋊C4—104no—
599C4⋊C4—104no—
600C4⋊C4—104no—
601C4⋊C4—104no—
602C4⋊C4—104no—
603C4⋊C4—104no—
604C4⋊C4—104no—
605C4⋊C4—104no—
606C4⋊C4—104no—
607C4⋊C4—101no—
608C4⋊C4—101no—
609C4⋊C4—101no—
610C4⋊C4—104no—
611C4⋊C4C23×D512yes—
612C22⋊C4—24no—
613C22⋊C4—54no—
614C22⋊C4—54no—
615C22⋊C4—104no—
616C22⋊C4—104no—
617C42—52no—
618C42—52no—
619C42—52no—
620C42—52no—
621C42—104no—
622C42—104no—
623C42—104no—
624C42—104no—
625C42—104no—
626C42—104no—
627C42—104no—
628C2×C5—42no—
629C2×C5#312714yescomplemented
630C2×C5C2×#52511yescharacteristic
631C2×C5C2×#57811yescharacteristic
632C2×C5C2×#57811yescharacteristic
633C23—22no—
634C23—22no—
635C23—22no—
636C23C2×D4×D512yes—
637C23C2×D4×D511yescharacteristic
638Q8—216no—
639Q8—24no—
640Q8—24no—
641Q8—22no—
642Q8—22no—
643Q8—22no—
644Q8—22no—
645Q8—42no—
646Q8—102no—
647Q8—102no—
648Q8—202no—
649Q8C2×#71114yes—
650Q8C2×#71114yes—
651C2×C4—216no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—24no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—52no—
665C2×C4—52no—
666C2×C4—52no—
667C2×C4—52no—
668C2×C4—102no—
669C2×C4—102no—
670C2×C4—102no—
671C2×C4—102no—
672C2×C4—102no—
673C2×C4—102no—
674C2×C4—102no—
675C2×C4—102no—
676C2×C4—202no—
677C2×C4—202no—
678C2×C4—202no—
679C2×C4—202no—
680C2×C4C2×D4×D512yes—
681C2×C4C2×D4×D511yescharacteristic
682C2×C4C2×#71112yes—
683C2×C4C2×#71112yes—
684C2×C4C24×D511yescharacteristic
685C8—22no—
686C8—22no—
687C8—102no—
688C8—102no—
689C5C2×#312711yescharacteristic, complemented, Sylow
690C22—22no—
691C22—22no—
692C22—22no—
693C22—44no—
694C22#6592012yes—
695C22#6610012yes—
696C22#6611312yes—
697C22C22×D4×D511yescharacteristic
698C4—24no—
699C4—24no—
700C4—22no—
701C4—42no—
702C4—42no—
703C4—102no—
704C4—102no—
705C4—102no—
706C4—102no—
707C4—202no—
708C4—202no—
709C4—202no—
710C4—202no—
711C4#6592012yes—
712C4C22×#71111yescharacteristic
713C4C22×#71111yescharacteristic
714C2—42no—
715C2#1061190814yesdirect product factor
716C2C2×#6592011yescharacteristic
717C2C2×#6610011yescharacteristic
718C2C2×#6611311yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#451C2
socleC23×C5C22×D4
prime radicalC24×C5C2×D4
hypercenterC2×#451D5
hypocenterC5C2×#3127
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#451

Complements

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

NH ≅ G/Ntype
5. C2×#65471C2semidirect
6. C2×#65471C2semidirect
7. C2×#65473C2semidirect
8. C2×Q16×Dic5C2semidirect
10. #10611908C2direct (N × H)
11. C2×#65085C2semidirect
12. C2×#65088C2semidirect
13. C2×#65078C2semidirect
14. C2×#65079C2semidirect
56. #65473C22semidirect
57. Q16×Dic5C22semidirect
58. #65471C22semidirect
59. #65471C22semidirect
71. #65088C22semidirect
72. #65085C22semidirect
73. #65079C22semidirect
74. #65078C22semidirect
629. C2×C5#3127semidirect
689. C5C2×#3127semidirect
715. C2#10611908direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#661462
C2×#659592
C2×C5×#4512
C2×#655172
C2×#654712
C2×#654732
C2×Q16×Dic52
C2×#653342
#106119082
C2×#650852
C2×#650882
C2×#650782
C2×#650792
C2×#650122
C2×#650092
C2×#31275