Finite Group Databasebeta

← C2×#10615185 #12971515

Subgroups — C2×#10615185 #12971515

Order 1280.

1742 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#542C211yesmaximal, characteristic
2C2×#65853C211yesmaximal, characteristic, complemented
3#10615185C2116yesmaximal, direct product factor
4C2×#65369C211yesmaximal, characteristic, complemented
5C2×#65367C211yesmaximal, characteristic, complemented
6C2×#65344C211yesmaximal, characteristic, complemented
7C2×#65345C211yesmaximal, characteristic, complemented
8C2×#65333C211yesmaximal, characteristic, complemented
9C2×#65334C211yesmaximal, characteristic, complemented
10C2×#65324C211yesmaximal, characteristic
11C2×#65322C211yesmaximal, characteristic
12C2×#65311C211yesmaximal, characteristic, complemented
13C2×#65310C211yesmaximal, characteristic, complemented
14C2×#65298C211yesmaximal, characteristic, complemented
15C2×#65296C211yesmaximal, characteristic, complemented
16C2×#65289C211yesmaximal, characteristic, complemented
17C5×#542—24no—
18C5×#542C2218yes—
19C2×C5×C4⋊Q8C2211yescharacteristic
20C2×C5×#126—21no—
21C2×C5×#124—21no—
22C2×C5×#124C2211yescharacteristic
23C2×C5×#123—21no—
24C2×C5×C22⋊Q8—21no—
25C2×C5×C22⋊Q8C2211yescharacteristic
26C2×C5×#121C2211yescharacteristic
27C2×C4×C5×Q8C2211yescharacteristic
28C2×C4×C5×D4C2211yescharacteristic
29C2×C5×#117C2211yescharacteristic
30C2×#4072C2211yescharacteristic
31C22×C4⋊Dic5C2211yescharacteristic
32#65853—24no—
33#65853C2218yescomplemented
34C2×#4036—21no—
35C2×#4034—21no—
36C2×#4024—21no—
37C2×#4024—21no—
38C2×#4016C2211yescharacteristic
39C2×#4016C2211yescharacteristic
40C2×#4015C2211yescharacteristic
41C2×#4015C2211yescharacteristic
42C2×#3967C2211yescharacteristic
43C2×#3967C2211yescharacteristic
44C2×#3967C2211yescharacteristic
45C2×#3967C2211yescharacteristic
46C2×#3964C2211yescharacteristic
47C2×#3964C2211yescharacteristic
48C2×#3964C2211yescharacteristic
49C2×#3964C2211yescharacteristic
50C2×C22⋊#168C2211yescharacteristic
51C2×C22⋊#168C2211yescharacteristic
52#65369C2218yescomplemented
53#65367C2218yescomplemented
54#65345C2218yescomplemented
55#65344C2218yescomplemented
56#65334C2218yescomplemented
57#65333C2218yescomplemented
58#65324C2218yes—
59#65322C2218yes—
60#65311C2218yescomplemented
61#65310C2218yescomplemented
62#65298C2218yescomplemented
63#65296C2218yescomplemented
64#65289C2218yescomplemented
65C2×#3940C2211yescharacteristic
66C2×#3940C2211yescharacteristic
67C2×#3939C2211yescharacteristic
68C2×#3939C2211yescharacteristic
69C2×#3939C2211yescharacteristic
70C2×#3939C2211yescharacteristic
71C2×#3939C2211yescharacteristic
72C2×#3939C2211yescharacteristic
73C2×C4⋊#168C2211yescharacteristic
74C2×C4⋊#168C2211yescharacteristic
75C2×#3935C2211yescharacteristic
76C2×C4×#168C2211yescharacteristic
77C2×#3243—51nomaximal, Sylow
78C22×C5×Q8—21no—
79C22×C5×Q8C2311yescharacteristic
80C22×C5×D4—21no—
81C22×C5×D4C2311yescharacteristic
82C23×C4×C5—21no—
83C23×C4×C5C2311yescharacteristic
84C23×Dic5—21no—
85C22×Dic10—21no—
86C22×Dic10—21no—
87C5×C4⋊Q8—22no—
88C5×C4⋊Q8C2314yes—
89C5×#126—28no—
90C5×#124—28no—
91C5×#124—22no—
92C5×#124C2314yes—
93C5×#123—28no—
94C5×C22⋊Q8—22no—
95C5×C22⋊Q8—28no—
96C5×C22⋊Q8C2314yes—
97C5×#121—22no—
98C5×#121C2314yes—
99C4×C5×Q8—22no—
100C4×C5×Q8C2314yes—
101C4×C5×D4—22no—
102C4×C5×D4C2314yes—
103C5×#117D414yes—
104C5×#117C2314yes—
105C2×C5×C4⋊C4—21no—
106C2×C5×C4⋊C4—21no—
107C2×C5×C4⋊C4—21no—
108C2×C5×C4⋊C4D411yescharacteristic
109C2×C5×C4⋊C4D411yescharacteristic
110C2×C5×C4⋊C4C2311yescharacteristic
111C2×C5×C4⋊C4C2311yescharacteristic
112C2×C5×C22⋊C4—21no—
113C2×C5×C22⋊C4—21no—
114C2×C5×C22⋊C4—21no—
115C2×C5×C22⋊C4—21no—
116C2×C5×C22⋊C4—21no—
117C2×C5×C22⋊C4D411yescharacteristic
118C2×C5×C22⋊C4D411yescharacteristic
119C2×C42×C5—21no—
120C2×C42×C5C2311yescharacteristic
121C2×C42×C5C2311yescharacteristic
122C2×C22⋊Dic5—21no—
123#4072—22no—
124#4072C2314yes—
125C2×C4⋊Dic5—21no—
126C2×C4⋊Dic5—21no—
127C2×C4⋊Dic5—21no—
128C2×C4⋊Dic5—22no—
129C2×C4⋊Dic5C2311yescharacteristic
130C2×C4⋊Dic5C2311yescharacteristic
131C2×C4⋊Dic5C2311yescharacteristic
132C2×C4⋊Dic5C2311yescharacteristic
133C2×C4⋊Dic5C2314yes—
134C2×#683—21no—
135C2×#683—21no—
136C2×#683—21no—
137C2×#683—21no—
138C2×C4×Dic5—21no—
139C22×#168C2311yescharacteristic
140C22×#168C2311yescharacteristic
141C22×#168C2311yescharacteristic
142C22×#168C2311yescharacteristic
143#4036—28no—
144#4034—28no—
145#4024—28no—
146#4024—28no—
147#4016—22no—
148#4016—22no—
149#4016C2314yes—
150#4016C2314yes—
151#4015—22no—
152#4015—22no—
153#4015C2314yes—
154#4015C2314yes—
155#3967C2314yes—
156#3967C2314yes—
157#3967C2314yes—
158#3967C2314yes—
159#3964C2314yes—
160#3964C2314yes—
161#3964C2314yes—
162#3964C2314yes—
163C22⋊#168C2314yes—
164C22⋊#168C2314yes—
165#3940C2314yes—
166#3940C2314yes—
167#3939C2314yes—
168#3939C2314yes—
169#3939C2314yes—
170#3939C2314yes—
171#3939C2314yes—
172#3939C2314yes—
173C4⋊#168C2314yes—
174C4⋊#168C2314yes—
175#3935C2314yes—
176C4×#168C2314yes—
177C2×#544—51no—
178C2×#542D511yescharacteristic
179#3243—516no—
180C2×#501—51no—
181C2×#500—51no—
182C2×#489—51no—
183C2×#488—51no—
184C2×#484—51no—
185C2×#485—51no—
186C2×#482—51no—
187C2×#480—51no—
188C2×#479—51no—
189C2×#477—51no—
190C2×#478—51no—
191C2×#474—51no—
192C2×#433—51no—
193C24×C5—21no—
194C24×C5C2×D411yescharacteristic
195C2×C5×Q8—21no—
196C2×C5×Q8—24no—
197C2×C5×Q8—22no—
198C2×C5×Q8—22no—
199C2×C5×Q8—82no—
200C2×C5×Q8C2412yes—
201C2×C5×D4—24no—
202C2×C5×D4—21no—
203C2×C5×D4—22no—
204C2×C5×D4—22no—
205C2×C5×D4—82no—
206C2×C5×D4C2412yes—
207C22×C4×C5—22no—
208C22×C4×C5—22no—
209C22×C4×C5—21no—
210C22×C4×C5—21no—
211C22×C4×C5—21no—
212C22×C4×C5—24no—
213C22×C4×C5—82no—
214C22×C4×C5C2×D411yescharacteristic
215C22×C4×C5C2×D411yescharacteristic
216C22×C4×C5C2×D411yescharacteristic
217C22×C4×C5C2×D411yescharacteristic
218C22×C4×C5C2×D411yescharacteristic
219C22×C4×C5C2×D412yes—
220C22×C4×C5C2412yes—
221C22×C4×C5C2411yescharacteristic
222C22×Dic5—21no—
223C22×Dic5—21no—
224C22×Dic5—21no—
225C22×Dic5—21no—
226C22×Dic5—24no—
227C22×Dic5—82no—
228C2×Dic10—24no—
229C2×Dic10—24no—
230C2×Dic10—82no—
231C2×Dic10—82no—
232C5×C4⋊C4—24no—
233C5×C4⋊C4—24no—
234C5×C4⋊C4—24no—
235C5×C4⋊C4—21no—
236C5×C4⋊C4—21no—
237C5×C4⋊C4C2×D414yes—
238C5×C4⋊C4C2×D414yes—
239C5×C4⋊C4C2412yes—
240C5×C4⋊C4C2412yes—
241C5×C22⋊C4—24no—
242C5×C22⋊C4—24no—
243C5×C22⋊C4—24no—
244C5×C22⋊C4—24no—
245C5×C22⋊C4—24no—
246C5×C22⋊C4C2×D414yes—
247C5×C22⋊C4C2×D414yes—
248C42×C5—24no—
249C42×C5C2×D412yes—
250C42×C5C2×D412yes—
251C42×C5C2412yes—
252C42×C5C2412yes—
253C22⋊Dic5—24no—
254C4⋊Dic5—21no—
255C4⋊Dic5—21no—
256C4⋊Dic5—21no—
257C4⋊Dic5—24no—
258C4⋊Dic5—24no—
259C4⋊Dic5—21no—
260C4⋊Dic5—24no—
261C4⋊Dic5C2412yes—
262C4⋊Dic5C2412yes—
263C4⋊Dic5C2412yes—
264C4⋊Dic5C2412yes—
265#683—24no—
266#683—24no—
267#683—24no—
268#683—24no—
269C4×Dic5—24no—
270C2×#168—22no—
271C2×#168—22no—
272C2×#168—22no—
273C2×#168—22no—
274C2×#168C2412yes—
275C2×#168C2412yes—
276C2×#168C2412yes—
277C2×#168C2412yes—
278#544—58no—
279#544—104no—
280#542—24no—
281#542C2×D518yes—
282C2×C4⋊Q8—51no—
283C2×C4⋊Q8—51no—
284C2×C4⋊Q8—101no—
285C2×C4⋊Q8C2×D511yescharacteristic
286C2×#126—21no—
287C2×#125—51no—
288C2×#125—51no—
289C2×#125—101no—
290C2×#124—21no—
291C2×#124C2×D511yescharacteristic
292C2×#123—21no—
293C2×C22⋊Q8—21no—
294C2×C22⋊Q8—101no—
295C2×C22⋊Q8—101no—
296C2×C22⋊Q8C2×D511yescharacteristic
297C2×#121C2×D511yescharacteristic
298C2×C4×Q8C2×D511yescharacteristic
299C2×C4×D4C2×D511yescharacteristic
300C2×#117—51no—
301C2×#117C2×D511yescharacteristic
302C22×C4⋊C4—51no—
303#501—58no—
304#500—58no—
305#489—58no—
306#488—58no—
307#485—58no—
308#484—58no—
309#482—58no—
310#480—58no—
311#479—58no—
312#478—58no—
313#477—58no—
314#474—58no—
315#433—58no—
316C2×#107—51no—
317C2×#107—51no—
318C2×#107—51no—
319C2×#107—51no—
320C2×#107—51no—
321C2×#107—51no—
322C2×#106—51no—
323C2×#106—51no—
324C2×C4⋊C8—51no—
325C2×C4⋊C8—51no—
326C2×#103—51no—
327C2×#103—51no—
328C2×#103—51no—
329C2×#103—51no—
330C2×#102—51no—
331C2×#102—51no—
332C2×#102—51no—
333C2×#102—51no—
334C2×C22⋊C8—51no—
335C2×C22⋊C8—51no—
336C2×#97—51no—
337C2×C4×C8—51no—
338C23×C5—22no—
339C23×C5—22no—
340C23×C5—22no—
341C23×C5—22no—
342C23×C5—42no—
343C23×C5—42no—
344C23×C5—42no—
345C23×C5C22×D412yes—
346C23×C5C22×D411yescharacteristic
347C5×Q8—22no—
348C5×Q8—22no—
349C5×Q8—42no—
350C5×Q8—84no—
351C5×D4—22no—
352C5×D4—22no—
353C5×D4—42no—
354C5×D4—84no—
355C2×C4×C5—22no—
356C2×C4×C5—22no—
357C2×C4×C5—22no—
358C2×C4×C5—22no—
359C2×C4×C5—22no—
360C2×C4×C5—24no—
361C2×C4×C5—22no—
362C2×C4×C5—22no—
363C2×C4×C5—22no—
364C2×C4×C5—22no—
365C2×C4×C5—22no—
366C2×C4×C5—42no—
367C2×C4×C5—42no—
368C2×C4×C5—42no—
369C2×C4×C5—84no—
370C2×C4×C5C22×D412yes—
371C2×C4×C5C22×D412yes—
372C2×C4×C5C22×D412yes—
373C2×C4×C5C22×D412yes—
374C2×C4×C5C22×D412yes—
375C2×C4×C5C22×D411yescharacteristic
376C2×C4×C52−1+412yes—
377C2×C4×C52−1+412yes—
378C2×C4×C5C2511yescharacteristic
379C2×Dic5—22no—
380C2×Dic5—22no—
381C2×Dic5—22no—
382C2×Dic5—22no—
383C2×Dic5—42no—
384C2×Dic5—42no—
385C2×Dic5—42no—
386C2×Dic5—42no—
387C2×Dic5—84no—
388Dic10—84no—
389Dic10—84no—
390#168—22no—
391#168—22no—
392#168—22no—
393#168—22no—
394C22×Q8—21no—
395C22×Q8—101no—
396C22×Q8—101no—
397C22×Q8C22×D511yescharacteristic
398C22×D4—21no—
399C22×D4C22×D511yescharacteristic
400C23×C4—21no—
401C23×C4—101no—
402C23×C4C22×D511yescharacteristic
403C22×C8—51no—
404C22×C8—51no—
405C22×C8—51no—
406C22×C8—51no—
407C4⋊Q8—22no—
408C4⋊Q8—54no—
409C4⋊Q8—54no—
410C4⋊Q8—108no—
411C4⋊Q8—102no—
412C4⋊Q8—102no—
413C4⋊Q8C22×D514yes—
414#126—28no—
415#125—54no—
416#125—54no—
417#125—108no—
418#125—102no—
419#125—102no—
420#124—28no—
421#124—22no—
422#124C22×D514yes—
423#123—28no—
424C22⋊Q8—22no—
425C22⋊Q8—28no—
426C22⋊Q8—108no—
427C22⋊Q8—108no—
428C22⋊Q8C22×D514yes—
429#121—22no—
430#121C22×D514yes—
431C4×Q8—22no—
432C4×Q8C22×D514yes—
433C4×D4—22no—
434C4×D4C22×D514yes—
435#117—54no—
436#117—102no—
437#117C22⋊D514yes—
438#117C22×D514yes—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—21no—
442C2×C4⋊C4—51no—
443C2×C4⋊C4—51no—
444C2×C4⋊C4—54no—
445C2×C4⋊C4—51no—
446C2×C4⋊C4—51no—
447C2×C4⋊C4—101no—
448C2×C4⋊C4—102no—
449C2×C4⋊C4—101no—
450C2×C4⋊C4—101no—
451C2×C4⋊C4—101no—
452C2×C4⋊C4—101no—
453C2×C4⋊C4—101no—
454C2×C4⋊C4—101no—
455C2×C4⋊C4C22⋊D511yescharacteristic
456C2×C4⋊C4C22⋊D511yescharacteristic
457C2×C4⋊C4C22×D511yescharacteristic
458C2×C4⋊C4C22×D511yescharacteristic
459C2×C22⋊C4—21no—
460C2×C22⋊C4—21no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—101no—
465C2×C22⋊C4C22⋊D511yescharacteristic
466C2×C22⋊C4C22⋊D511yescharacteristic
467C2×C42—21no—
468C2×C42—101no—
469C2×C42C22×D511yescharacteristic
470C2×C42C22×D511yescharacteristic
471#107—54no—
472#107—54no—
473#107—54no—
474#107—54no—
475#107—54no—
476#107—54no—
477#106—54no—
478#106—54no—
479C4⋊C8—54no—
480C4⋊C8—54no—
481#103—54no—
482#103—54no—
483#103—54no—
484#103—54no—
485#102—54no—
486#102—54no—
487#102—54no—
488#102—54no—
489C22⋊C8—54no—
490C22⋊C8—54no—
491#97—54no—
492C4×C8—54no—
493C22×C5—22no—
494C22×C5—22no—
495C22×C5—22no—
496C22×C5—44no—
497C22×C5—42no—
498C22×C5—42no—
499C22×C5—42no—
500C22×C5—84no—
501C22×C5#53612yes—
502C22×C5#57612yes—
503C22×C5#57812yes—
504C22×C5C23×D411yescharacteristic
505C4×C5—22no—
506C4×C5—22no—
507C4×C5—22no—
508C4×C5—22no—
509C4×C5—22no—
510C4×C5—42no—
511C4×C5—42no—
512C4×C5—42no—
513C4×C5#53612yes—
514C4×C5C2×2−1+411yescharacteristic
515C4×C5C2×2−1+411yescharacteristic
516Dic5—42no—
517Dic5—42no—
518Dic5—42no—
519Dic5—42no—
520C24—21no—
521C24C2×C22⋊D511yescharacteristic
522C2×Q8—21no—
523C2×Q8—24no—
524C2×Q8—22no—
525C2×Q8—22no—
526C2×Q8—82no—
527C2×Q8—104no—
528C2×Q8—104no—
529C2×Q8—402no—
530C2×Q8—402no—
531C2×Q8C23×D512yes—
532C2×D4—24no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—21no—
536C2×D4—82no—
537C2×D4C23×D512yes—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—24no—
544C22×C4—82no—
545C22×C4—101no—
546C22×C4—101no—
547C22×C4—101no—
548C22×C4—101no—
549C22×C4—104no—
550C22×C4—402no—
551C22×C4C2×C22⋊D512yes—
552C22×C4C2×C22⋊D511yescharacteristic
553C22×C4C2×C22⋊D511yescharacteristic
554C22×C4C2×C22⋊D511yescharacteristic
555C22×C4C2×C22⋊D511yescharacteristic
556C22×C4C2×C22⋊D511yescharacteristic
557C22×C4C23×D512yes—
558C22×C4C23×D511yescharacteristic
559C2×C8—52no—
560C2×C8—52no—
561C2×C8—52no—
562C2×C8—52no—
563C2×C8—102no—
564C2×C8—102no—
565C2×C8—102no—
566C2×C8—102no—
567C4⋊C4—24no—
568C4⋊C4—24no—
569C4⋊C4—24no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—52no—
573C4⋊C4—52no—
574C4⋊C4—52no—
575C4⋊C4—52no—
576C4⋊C4—104no—
577C4⋊C4—101no—
578C4⋊C4—101no—
579C4⋊C4—101no—
580C4⋊C4—101no—
581C4⋊C4—104no—
582C4⋊C4—104no—
583C4⋊C4—104no—
584C4⋊C4—104no—
585C4⋊C4—104no—
586C4⋊C4—104no—
587C4⋊C4C2×C22⋊D514yes—
588C4⋊C4C2×C22⋊D514yes—
589C4⋊C4C23×D512yes—
590C4⋊C4C23×D512yes—
591C22⋊C4—24no—
592C22⋊C4—24no—
593C22⋊C4—24no—
594C22⋊C4—24no—
595C22⋊C4—24no—
596C22⋊C4—104no—
597C22⋊C4C2×C22⋊D514yes—
598C22⋊C4C2×C22⋊D514yes—
599C42—24no—
600C42—104no—
601C42C2×C22⋊D512yes—
602C42C2×C22⋊D512yes—
603C42C23×D512yes—
604C42C23×D512yes—
605C2×C5—42no—
606C2×C5—82no—
607C2×C5#324314yescomplemented
608C2×C5C2×#53611yescharacteristic
609C2×C5C2×#57611yescharacteristic
610C2×C5C2×#57811yescharacteristic
611C23—22no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23C22×C22⋊D512yes—
619C23C22×C22⋊D511yescharacteristic
620Q8—22no—
621Q8—22no—
622Q8—42no—
623Q8—84no—
624Q8—404no—
625Q8—404no—
626D4—22no—
627D4—22no—
628D4—42no—
629D4—84no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—24no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—84no—
645C2×C4—102no—
646C2×C4—102no—
647C2×C4—102no—
648C2×C4—102no—
649C2×C4—202no—
650C2×C4—202no—
651C2×C4—202no—
652C2×C4—202no—
653C2×C4—404no—
654C2×C4#415012yes—
655C2×C4#415012yes—
656C2×C4C22×C22⋊D512yes—
657C2×C4C22×C22⋊D512yes—
658C2×C4C22×C22⋊D512yes—
659C2×C4C22×C22⋊D512yes—
660C2×C4C22×C22⋊D512yes—
661C2×C4C22×C22⋊D511yescharacteristic
662C2×C4C24×D511yescharacteristic
663C8—102no—
664C8—102no—
665C8—102no—
666C8—102no—
667C5C2×#324311yescharacteristic, complemented, Sylow
668C22—22no—
669C22—22no—
670C22—22no—
671C22—44no—
672C22—42no—
673C22—42no—
674C22—42no—
675C22—84no—
676C22#6615912yes—
677C22#6616912yes—
678C22#6617212yes—
679C22C23×C22⋊D511yescharacteristic
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—22no—
685C4—42no—
686C4—42no—
687C4—42no—
688C4—202no—
689C4—202no—
690C4—202no—
691C4—202no—
692C4#6615912yes—
693C4C2×#415011yescharacteristic
694C4C2×#415011yescharacteristic
695C2—42no—
696C2—82no—
697C2#1061518514yesdirect product factor
698C2C2×#6615911yescharacteristic
699C2C2×#6616911yescharacteristic
700C2C2×#6617211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#542C2
socleC23×C5C22×D4
prime radicalC2×C5×#121C22
hypercenterC2×#542D5
hypocenterC5C2×#3243
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#542

Complements

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

NH ≅ G/Ntype
2. C2×#65853C2semidirect
3. #10615185C2direct (N × H)
4. C2×#65369C2semidirect
5. C2×#65367C2semidirect
6. C2×#65344C2semidirect
7. C2×#65345C2semidirect
8. C2×#65333C2semidirect
9. C2×#65334C2semidirect
12. C2×#65311C2semidirect
13. C2×#65310C2semidirect
14. C2×#65298C2semidirect
15. C2×#65296C2semidirect
16. C2×#65289C2semidirect
33. #65853C22semidirect
52. #65369C22semidirect
53. #65367C22semidirect
54. #65345C22semidirect
55. #65344C22semidirect
56. #65334C22semidirect
57. #65333C22semidirect
60. #65311C22semidirect
61. #65310C22semidirect
62. #65298C22semidirect
63. #65296C22semidirect
64. #65289C22semidirect
607. C2×C5#3243semidirect
667. C5C2×#3243semidirect
697. C2#10615185direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#5422
C2×#658532
#106151852
C2×#653692
C2×#653672
C2×#653442
C2×#653452
C2×#653332
C2×#653342
C2×#653242
C2×#653222
C2×#653112
C2×#653102
C2×#652982
C2×#652962
C2×#652892
C2×#32435