Finite Group Databasebeta

← C2×#10615426 #12979821

Subgroups — C2×#10615426 #12979821

Order 1280.

1822 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#557C211yesmaximal, characteristic, complemented
2C2×#65913C211yesmaximal, characteristic
3#10615426C2116yesmaximal, direct product factor
4C2×#65373C211yesmaximal, characteristic
5C2×#65369C211yesmaximal, characteristic, complemented
6C2×#65355C211yesmaximal, characteristic
7C2×#65355C211yesmaximal, characteristic
8C2×#65354C211yesmaximal, characteristic, complemented
9C2×#65353C211yesmaximal, characteristic, complemented
10C2×#65315C211yesmaximal, characteristic
11C2×#65315C211yesmaximal, characteristic
12C2×#65313C211yesmaximal, characteristic, complemented
13C2×#65311C211yesmaximal, characteristic, complemented
14C2×#65311C211yesmaximal, characteristic, complemented
15C2×#65309C211yesmaximal, characteristic, complemented
16C2×C4×#688C211yesmaximal, characteristic
17C5×#557—24no—
18C5×#557C2218yescomplemented
19C2×C5×C4⋊Q8—21no—
20C2×C5×C4⋊Q8C2211yescharacteristic
21C2×C5×#125—21no—
22C2×C5×#125—21no—
23C2×C5×#125C2211yescharacteristic
24C2×C5×#125C2211yescharacteristic
25C2×C4×C5×Q8—21no—
26C2×C4×C5×Q8C2211yescharacteristic
27C2×C4×C5×Q8C2211yescharacteristic
28C2×C4×C5×Q8C2211yescharacteristic
29C2×C4×C5×Q8C2211yescharacteristic
30C2×#4092—21no—
31C22×#688C2211yescharacteristic
32#65913—24no—
33#65913C2218yes—
34C2×#4042—21no—
35C2×#4042—21no—
36C2×D5×C4⋊C4—21no—
37C2×C4×D20C2211yescharacteristic
38C2×C4×D20C2211yescharacteristic
39C2×C4×D20C2211yescharacteristic
40C2×#4016C2211yescharacteristic
41C2×#4016C2211yescharacteristic
42C2×#4015C2211yescharacteristic
43C2×#3967C2211yescharacteristic
44C2×#3967C2211yescharacteristic
45C2×#3967C2211yescharacteristic
46#65373C2218yes—
47#65369C2218yescomplemented
48#65355C2218yes—
49#65355C2218yes—
50#65354C2218yescomplemented
51#65353C2218yescomplemented
52#65315C2218yes—
53#65315C2218yes—
54C4×#688C2218yes—
55#65313C2218yescomplemented
56#65311C2218yescomplemented
57#65311C2218yescomplemented
58#65309C2218yescomplemented
59C2×#3941C2211yescharacteristic
60C2×#3941C2211yescharacteristic
61C2×#3941C2211yescharacteristic
62C2×#3940C2211yescharacteristic
63C2×#3940C2211yescharacteristic
64C2×#3940C2211yescharacteristic
65C2×#3940C2211yescharacteristic
66C2×#3940C2211yescharacteristic
67C2×#3939C2211yescharacteristic
68C2×#3939C2211yescharacteristic
69C2×#3939C2211yescharacteristic
70C2×#3939C2211yescharacteristic
71C2×C4⋊#168C2211yescharacteristic
72C2×C4⋊#168C2211yescharacteristic
73C2×C4⋊#168C2211yescharacteristic
74C2×#3935C2211yescharacteristic
75C2×#3935C2211yescharacteristic
76C2×C4×#168C2211yescharacteristic
77C2×#3388—51nomaximal, Sylow
78C22×C5×Q8—21no—
79C22×C5×Q8D411yescharacteristic
80C22×C5×Q8C2311yescharacteristic
81C22×D20C2311yescharacteristic
82C22×C4×D5—21no—
83C22×C4×D5—21no—
84C22×C4×D5—21no—
85C22×Dic10—21no—
86C5×C4⋊Q8—28no—
87C5×C4⋊Q8—22no—
88C5×C4⋊Q8C2314yes—
89C5×#125—28no—
90C5×#125—28no—
91C5×#125—22no—
92C5×#125—22no—
93C5×#125C2314yes—
94C5×#125C2314yes—
95C4×C5×Q8—28no—
96C4×C5×Q8—22no—
97C4×C5×Q8—22no—
98C4×C5×Q8—22no—
99C4×C5×Q8D414yes—
100C4×C5×Q8C2314yes—
101C4×C5×Q8C2314yes—
102C4×C5×Q8C2314yes—
103C4×C5×Q8C2314yes—
104C2×C5×C4⋊C4—21no—
105C2×C5×C4⋊C4—21no—
106C2×C5×C4⋊C4—21no—
107C2×C5×C4⋊C4—21no—
108C2×C5×C4⋊C4—21no—
109C2×C5×C4⋊C4—21no—
110C2×C5×C4⋊C4—21no—
111C2×C5×C4⋊C4—21no—
112C2×C5×C4⋊C4D411yescharacteristic
113C2×C5×C4⋊C4D411yescharacteristic
114C2×C5×C4⋊C4D411yescharacteristic
115C2×C5×C4⋊C4C2311yescharacteristic
116C2×C5×C4⋊C4C2311yescharacteristic
117C2×C5×C4⋊C4C2311yescharacteristic
118C2×C42×C5—21no—
119C2×C42×C5—21no—
120C2×C42×C5—21no—
121C2×C42×C5C2311yescharacteristic
122C2×C42×C5C2311yescharacteristic
123C2×C42×C5C2311yescharacteristic
124#4092—28no—
125C2×#688Q818yescomplemented
126C2×#688C2314yes—
127C2×#685—21no—
128C2×#685—21no—
129C2×#685—21no—
130C2×C4⋊Dic5—21no—
131C2×C4⋊Dic5C2311yescharacteristic
132C2×C4⋊Dic5C2311yescharacteristic
133C2×C4⋊Dic5C2311yescharacteristic
134C2×#683—21no—
135C2×#683—21no—
136C2×#683—21no—
137C2×#683—21no—
138C22×#168C2311yescharacteristic
139C22×#168C2311yescharacteristic
140C22×#168C2311yescharacteristic
141C22×#168C2311yescharacteristic
142#4042—28no—
143#4042—28no—
144D5×C4⋊C4—28no—
145C4×D20—22no—
146C4×D20—22no—
147C4×D20—22no—
148C4×D20C2314yes—
149C4×D20C2314yes—
150C4×D20C2314yes—
151#4016—22no—
152#4016—22no—
153#4016C2314yes—
154#4016C2314yes—
155#4015—22no—
156#4015C2314yes—
157#3967C2314yes—
158#3967C2314yes—
159#3967C2314yes—
160#3941C2314yes—
161#3941C2314yes—
162#3941C2314yes—
163#3940C2314yes—
164#3940C2314yes—
165#3940C2314yes—
166#3940C2314yes—
167#3940C2314yes—
168#3939C2314yes—
169#3939C2314yes—
170#3939C2314yes—
171#3939C2314yes—
172C4⋊#168C2314yes—
173C4⋊#168C2314yes—
174C4⋊#168C2314yes—
175#3935C2314yes—
176#3935C2314yes—
177C4×#168C2314yes—
178C2×#557D511yescharacteristic, complemented
179C2×#554—51no—
180#3388—516no—
181C2×#501—51no—
182C2×#501—51no—
183C2×#499—51no—
184C2×#479—51no—
185C2×#479—51no—
186C2×#475—51no—
187C2×#478—51no—
188C2×#478—51no—
189C2×#476—51no—
190C2×#446—51no—
191C2×#440—51no—
192C2×#440—51no—
193C2×C4×SD16—51no—
194C23×D5—21no—
195C2×C5×Q8—21no—
196C2×C5×Q8—24no—
197C2×C5×Q8—22no—
198C2×C5×Q8—42no—
199C2×C5×Q8—44no—
200C2×C5×Q8C2×D414yes—
201C2×C5×Q8C2×Q814yes—
202C2×C5×Q8C2412yes—
203C22×C4×C5—21no—
204C22×C4×C5—21no—
205C22×C4×C5—21no—
206C22×C4×C5—21no—
207C22×C4×C5C2×D411yescharacteristic
208C22×C4×C5C2×D411yescharacteristic
209C22×C4×C5C2×D411yescharacteristic
210C22×C4×C5C2×D411yescharacteristic
211C22×C4×C5C2×D411yescharacteristic
212C22×C4×C5C2×D411yescharacteristic
213C22×C4×C5C2411yescharacteristic
214C22×Dic5—21no—
215C22×Dic5—21no—
216C22×Dic5—21no—
217C2×D20—21no—
218C2×D20—22no—
219C2×D20C2×Q814yes—
220C2×D20C2412yes—
221C2×C4×D5—24no—
222C2×C4×D5—24no—
223C2×C4×D5—24no—
224C2×C4×D5—44no—
225C2×C4×D5—82no—
226C2×C4×D5—82no—
227C2×Dic10—24no—
228C2×Dic10—82no—
229C5×C4⋊C4—24no—
230C5×C4⋊C4—24no—
231C5×C4⋊C4—24no—
232C5×C4⋊C4—24no—
233C5×C4⋊C4—24no—
234C5×C4⋊C4—24no—
235C5×C4⋊C4—24no—
236C5×C4⋊C4—24no—
237C5×C4⋊C4—21no—
238C5×C4⋊C4—21no—
239C5×C4⋊C4—21no—
240C5×C4⋊C4C2×D414yes—
241C5×C4⋊C4C2×D414yes—
242C5×C4⋊C4C2×D414yes—
243C5×C4⋊C4C2412yes—
244C5×C4⋊C4C2412yes—
245C5×C4⋊C4C2412yes—
246C42×C5—24no—
247C42×C5—24no—
248C42×C5—24no—
249C42×C5C2×D412yes—
250C42×C5C2×D412yes—
251C42×C5C2×D412yes—
252C42×C5C2412yes—
253C42×C5C2412yes—
254C42×C5C2412yes—
255#688C2×Q8116yescomplemented
256#685—24no—
257#685—24no—
258#685—24no—
259C4⋊Dic5—21no—
260C4⋊Dic5—21no—
261C4⋊Dic5—24no—
262C4⋊Dic5—21no—
263C4⋊Dic5C2412yes—
264C4⋊Dic5C2412yes—
265C4⋊Dic5C2412yes—
266#683—24no—
267#683—24no—
268#683—24no—
269#683—24no—
270C2×#168—22no—
271C2×#168—22no—
272C2×#168—22no—
273C2×#168C2×Q814yes—
274C2×#168C2412yes—
275C2×#168C2412yes—
276C2×#168C2412yes—
277C2×#168C2412yes—
278C22×SD16—51no—
279#557—24no—
280#557C2×D518yescomplemented
281#554—58no—
282#554—104no—
283C2×C4⋊Q8—21no—
284C2×C4⋊Q8—51no—
285C2×C4⋊Q8C2×D511yescharacteristic
286C2×#125—21no—
287C2×#125—21no—
288C2×#125—51no—
289C2×#125—51no—
290C2×#125C2×D511yescharacteristic
291C2×#125C2×D511yescharacteristic
292C2×C22⋊Q8—101no—
293C2×C22⋊Q8—101no—
294C2×C22⋊Q8—101no—
295C2×C4×Q8—21no—
296C2×C4×Q8C2×D511yescharacteristic
297C2×C4×Q8C2×D511yescharacteristic
298C2×C4×Q8C2×D511yescharacteristic
299C2×C4×Q8C2×D511yescharacteristic
300C2×C4×D4—51no—
301C2×C4×D4—51no—
302C2×C4×D4—51no—
303C22×C4⋊C4—101no—
304#501—58no—
305#501—58no—
306#499—58no—
307#479—58no—
308#479—58no—
309#478—58no—
310#478—58no—
311#476—58no—
312#475—58no—
313#446—58no—
314#440—58no—
315#440—58no—
316C4×SD16—58no—
317C2×#107—51no—
318C2×#107—51no—
319C2×#107—51no—
320C2×#107—51no—
321C2×#106—51no—
322C2×#106—51no—
323C2×#106—51no—
324C2×#106—51no—
325C2×#106—51no—
326C2×C4⋊C8—51no—
327C2×C4⋊C8—51no—
328C2×C4⋊C8—51no—
329C2×#103—51no—
330C2×#103—51no—
331C2×#103—51no—
332C2×#102—51no—
333C2×#102—51no—
334C2×#102—51no—
335C2×#97—51no—
336C2×#97—51no—
337C2×C4×C8—51no—
338C23×C5C22×D411yescharacteristic
339C22×D5—24no—
340C22×D5—22no—
341C22×D5—42no—
342C22×D5—42no—
343C5×Q8—24no—
344C5×Q8—22no—
345C5×Q8—44no—
346C5×Q8—48no—
347C5×Q8C22×Q814yes—
348C2×C4×C5—24no—
349C2×C4×C5—22no—
350C2×C4×C5—22no—
351C2×C4×C5—22no—
352C2×C4×C5—22no—
353C2×C4×C5—22no—
354C2×C4×C5—22no—
355C2×C4×C5—22no—
356C2×C4×C5—22no—
357C2×C4×C5—22no—
358C2×C4×C5—22no—
359C2×C4×C5—42no—
360C2×C4×C5—42no—
361C2×C4×C5—42no—
362C2×C4×C5C22×D412yes—
363C2×C4×C5C22×D412yes—
364C2×C4×C5C22×D412yes—
365C2×C4×C5C22×D412yes—
366C2×C4×C5C22×D412yes—
367C2×C4×C5C22×D412yes—
368C2×C4×C5C22×D411yescharacteristic
369C2×C4×C5C22×Q812yes—
370C2×C4×C52−1+412yes—
371C2×C4×C5C2511yescharacteristic
372C2×Dic5—22no—
373C2×Dic5—22no—
374C2×Dic5—22no—
375C2×Dic5—42no—
376C2×Dic5—42no—
377C2×Dic5—42no—
378D20—24no—
379D20—22no—
380D20C22×Q814yes—
381C4×D5—48no—
382C4×D5—84no—
383C4×D5—84no—
384Dic10—84no—
385#168—22no—
386#168—22no—
387#168—22no—
388#168C22×Q814yes—
389C22×Q8—21no—
390C22×Q8—101no—
391C22×Q8C22⋊D511yescharacteristic
392C22×Q8C22×D511yescharacteristic
393C22×D4—51no—
394C23×C4—101no—
395C23×C4—101no—
396C23×C4—101no—
397C2×SD16—58no—
398C2×SD16—54no—
399C22×C8—51no—
400C22×C8—51no—
401C22×C8—51no—
402C22×C8—51no—
403C4⋊Q8—28no—
404C4⋊Q8—22no—
405C4⋊Q8—54no—
406C4⋊Q8—102no—
407C4⋊Q8C22×D514yes—
408#125—28no—
409#125—28no—
410#125—22no—
411#125—22no—
412#125—54no—
413#125—54no—
414#125—102no—
415#125—102no—
416#125C22×D514yes—
417#125C22×D514yes—
418C22⋊Q8—108no—
419C22⋊Q8—108no—
420C22⋊Q8—108no—
421C4×Q8—28no—
422C4×Q8—22no—
423C4×Q8—22no—
424C4×Q8—22no—
425C4×Q8C22⋊D514yes—
426C4×Q8C22×D514yes—
427C4×Q8C22×D514yes—
428C4×Q8C22×D514yes—
429C4×Q8C22×D514yes—
430C4×D4—54no—
431C4×D4—54no—
432C4×D4—54no—
433C4×D4—102no—
434C4×D4—102no—
435C4×D4—102no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—21no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—51no—
445C2×C4⋊C4—51no—
446C2×C4⋊C4—51no—
447C2×C4⋊C4—101no—
448C2×C4⋊C4—101no—
449C2×C4⋊C4—101no—
450C2×C4⋊C4—101no—
451C2×C4⋊C4—101no—
452C2×C4⋊C4—108no—
453C2×C4⋊C4C22⋊D511yescharacteristic
454C2×C4⋊C4C22⋊D511yescharacteristic
455C2×C4⋊C4C22⋊D511yescharacteristic
456C2×C4⋊C4C22×D511yescharacteristic
457C2×C4⋊C4C22×D511yescharacteristic
458C2×C4⋊C4C22×D511yescharacteristic
459C2×C22⋊C4—101no—
460C2×C22⋊C4—101no—
461C2×C22⋊C4—101no—
462C2×C42—21no—
463C2×C42—21no—
464C2×C42—21no—
465C2×C42C22×D511yescharacteristic
466C2×C42C22×D511yescharacteristic
467C2×C42C22×D511yescharacteristic
468#107—54no—
469#107—54no—
470#107—54no—
471#107—54no—
472#106—54no—
473#106—54no—
474#106—54no—
475#106—54no—
476#106—54no—
477C4⋊C8—54no—
478C4⋊C8—54no—
479C4⋊C8—54no—
480#103—54no—
481#103—54no—
482#103—54no—
483#102—54no—
484#102—54no—
485#102—54no—
486#97—54no—
487#97—54no—
488C4×C8—54no—
489C22×C5D4×Q812yes—
490C22×C5#57512yes—
491C22×C5#57712yes—
492C22×C5C23×D411yescharacteristic
493C2×D5—24no—
494C2×D5—48no—
495C2×D5—42no—
496C2×D5—42no—
497C4×C5—24no—
498C4×C5—22no—
499C4×C5—22no—
500C4×C5—22no—
501C4×C5—22no—
502C4×C5—22no—
503C4×C5—22no—
504C4×C5—42no—
505C4×C5—42no—
506C4×C5—42no—
507C4×C5D4×Q812yes—
508C4×C5C23×Q811yescharacteristic
509C4×C5C2×2−1+411yescharacteristic
510Dic5—42no—
511Dic5—42no—
512Dic5—42no—
513C24—101no—
514C2×Q8—22no—
515C2×Q8—21no—
516C2×Q8—24no—
517C2×Q8—42no—
518C2×Q8—44no—
519C2×Q8—104no—
520C2×Q8—402no—
521C2×Q8Q8×D514yes—
522C2×Q8C2×C22⋊D514yes—
523C2×Q8C23×D512yes—
524C2×D4—54no—
525C2×D4—52no—
526C2×D4—102no—
527C2×D4—101no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—101no—
533C22×C4—101no—
534C22×C4—101no—
535C22×C4—104no—
536C22×C4—104no—
537C22×C4—104no—
538C22×C4—204no—
539C22×C4—402no—
540C22×C4—402no—
541C22×C4C2×C22⋊D511yescharacteristic
542C22×C4C2×C22⋊D511yescharacteristic
543C22×C4C2×C22⋊D511yescharacteristic
544C22×C4C2×C22⋊D511yescharacteristic
545C22×C4C2×C22⋊D511yescharacteristic
546C22×C4C2×C22⋊D511yescharacteristic
547C22×C4C23×D511yescharacteristic
548SD16—516no—
549C2×C8—54no—
550C2×C8—52no—
551C2×C8—52no—
552C2×C8—52no—
553C2×C8—52no—
554C2×C8—102no—
555C2×C8—102no—
556C2×C8—102no—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—24no—
562C4⋊C4—24no—
563C4⋊C4—24no—
564C4⋊C4—24no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—52no—
569C4⋊C4—52no—
570C4⋊C4—52no—
571C4⋊C4—101no—
572C4⋊C4—101no—
573C4⋊C4—101no—
574C4⋊C4—104no—
575C4⋊C4—104no—
576C4⋊C4—104no—
577C4⋊C4—104no—
578C4⋊C4—104no—
579C4⋊C4C2×C22⋊D514yes—
580C4⋊C4C2×C22⋊D514yes—
581C4⋊C4C2×C22⋊D514yes—
582C4⋊C4C23×D512yes—
583C4⋊C4C23×D512yes—
584C4⋊C4C23×D512yes—
585C22⋊C4—104no—
586C22⋊C4—104no—
587C22⋊C4—104no—
588C42—24no—
589C42—24no—
590C42—24no—
591C42C2×C22⋊D512yes—
592C42C2×C22⋊D512yes—
593C42C2×C22⋊D512yes—
594C42C23×D512yes—
595C42C23×D512yes—
596C42C23×D512yes—
597C2×C5#338814yescomplemented
598C2×C5C2×D4×Q811yescharacteristic
599C2×C5C2×#57511yescharacteristic
600C2×C5C2×#57711yescharacteristic
601D5—44no—
602C23—104no—
603C23—102no—
604C23—202no—
605C23—202no—
606C23C22×C22⋊D511yescharacteristic
607Q8—24no—
608Q8—22no—
609Q8—44no—
610Q8—48no—
611Q8—404no—
612Q8C2×Q8×D514yes—
613D4—54no—
614D4—104no—
615D4—102no—
616C2×C4—24no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—102no—
631C2×C4—102no—
632C2×C4—102no—
633C2×C4—208no—
634C2×C4—202no—
635C2×C4—202no—
636C2×C4—202no—
637C2×C4—404no—
638C2×C4—404no—
639C2×C4C2×Q8×D512yes—
640C2×C4#414712yes—
641C2×C4C22×C22⋊D512yes—
642C2×C4C22×C22⋊D512yes—
643C2×C4C22×C22⋊D512yes—
644C2×C4C22×C22⋊D512yes—
645C2×C4C22×C22⋊D512yes—
646C2×C4C22×C22⋊D512yes—
647C2×C4C22×C22⋊D511yescharacteristic
648C2×C4C24×D511yescharacteristic
649C8—54no—
650C8—102no—
651C8—102no—
652C8—102no—
653C5C2×#338811yescharacteristic, complemented, Sylow
654C22—104no—
655C22—202no—
656C22—202no—
657C22—208no—
658C22Q8×C22⋊D512yes—
659C22#6615612yes—
660C22#6617112yes—
661C22C23×C22⋊D511yescharacteristic
662C4—24no—
663C4—22no—
664C4—22no—
665C4—22no—
666C4—22no—
667C4—22no—
668C4—22no—
669C4—42no—
670C4—42no—
671C4—42no—
672C4—202no—
673C4—202no—
674C4—202no—
675C4Q8×C22⋊D512yes—
676C4C22×Q8×D511yescharacteristic
677C4C2×#414711yescharacteristic
678C2—204no—
679C2#1061542614yesdirect product factor
680C2C2×Q8×C22⋊D511yescharacteristic
681C2C2×#6615611yescharacteristic
682C2C2×#6617111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#557C2
socleC23×C5C22×D4
prime radicalC22×D20C23
hypercenterC2×#557D5
hypocenterC5C2×#3388
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#557

Complements

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

NH ≅ G/Ntype
1. C2×C5×#557C2semidirect
3. #10615426C2direct (N × H)
5. C2×#65369C2semidirect
8. C2×#65354C2semidirect
9. C2×#65353C2semidirect
12. C2×#65313C2semidirect
13. C2×#65311C2semidirect
14. C2×#65311C2semidirect
15. C2×#65309C2semidirect
18. C5×#557C22semidirect
47. #65369C22semidirect
50. #65354C22semidirect
51. #65353C22semidirect
55. #65313C22semidirect
56. #65311C22semidirect
57. #65311C22semidirect
58. #65309C22semidirect
125. C2×#688Q8semidirect
178. C2×#557D5semidirect
255. #688C2×Q8semidirect
280. #557C2×D5semidirect
597. C2×C5#3388semidirect
653. C5C2×#3388semidirect
679. C2#10615426direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#5572
C2×#659132
#106154262
C2×#653732
C2×#653692
C2×#653552
C2×#653542
C2×#653532
C2×#653152
C2×#653132
C2×#653112
C2×#653092
C2×C4×#6882
C2×#33885