Finite Group Databasebeta

← C2×#10615209 #12971521

Subgroups — C2×#10615209 #12971521

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×#544C211yesmaximal, characteristic, complemented
2C2×#65868C211yesmaximal, characteristic
3#10615209C2116yesmaximal, direct product factor
4C2×#65380C211yesmaximal, characteristic, complemented
5C2×#65376C211yesmaximal, characteristic, complemented
6C2×#65367C211yesmaximal, characteristic, complemented
7C2×#65378C211yesmaximal, characteristic, complemented
8C2×#65352C211yesmaximal, characteristic, complemented
9C2×#65355C211yesmaximal, characteristic, complemented
10C2×#65354C211yesmaximal, characteristic, complemented
11C2×#65357C211yesmaximal, characteristic, complemented
12C2×#65285C211yesmaximal, characteristic, complemented
13C2×#65292C211yesmaximal, characteristic
14C2×#65289C211yesmaximal, characteristic, complemented
15C2×#65259C211yesmaximal, characteristic, complemented
16C2×#65256C211yesmaximal, characteristic
17C5×#544—24no—
18C5×#544C2218yescomplemented
19C2×C5×C4⋊Q8—21no—
20C2×C5×C4⋊Q8C2211yescharacteristic
21C2×C5×C4⋊Q8C2211yescharacteristic
22C2×C5×#125—21no—
23C2×C5×#125C2211yescharacteristic
24C2×C5×#125C2211yescharacteristic
25C2×C5×C22⋊Q8—21no—
26C2×C5×C22⋊Q8—21no—
27C2×C5×#117C2211yescharacteristic
28C2×C5×#117C2211yescharacteristic
29C22×C5×C4⋊C4C2211yescharacteristic
30C2×#4076C2211yescharacteristic
31C2×#4070C2211yescharacteristic
32#65868—24no—
33#65868C2218yes—
34C2×#4044—21no—
35C2×#4042—21no—
36C2×#4031—21no—
37C2×#4029—21no—
38C2×#4021C2211yescharacteristic
39C2×C4×D20C2211yescharacteristic
40C2×#4015C2211yescharacteristic
41C2×C4×Dic10C2211yescharacteristic
42C2×C22⋊#168C2211yescharacteristic
43C2×C22⋊#168C2211yescharacteristic
44#65380C2218yescomplemented
45#65378C2218yescomplemented
46#65376C2218yescomplemented
47#65367C2218yescomplemented
48#65357C2218yescomplemented
49#65355C2218yescomplemented
50#65354C2218yescomplemented
51#65352C2218yescomplemented
52#65292C2218yes—
53#65289C2218yescomplemented
54#65285C2218yescomplemented
55#65259C2218yescomplemented
56C2×#3942C2211yescharacteristic
57C2×#3942C2211yescharacteristic
58C2×#3942C2211yescharacteristic
59C2×#3942C2211yescharacteristic
60#65256C2218yes—
61C2×#3941C2211yescharacteristic
62C2×#3941C2211yescharacteristic
63C2×#3941C2211yescharacteristic
64C2×#3941C2211yescharacteristic
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×Q8—21no—
80C23×C4×C5—21no—
81C23×C4×C5C2311yescharacteristic
82C22×C22⋊D5—21no—
83C22×D20C2311yescharacteristic
84C22×C4×D5—21no—
85C22×Dic10—21no—
86C22×Dic10C2311yescharacteristic
87C5×C4⋊Q8—28no—
88C5×C4⋊Q8—22no—
89C5×C4⋊Q8—22no—
90C5×C4⋊Q8C2314yes—
91C5×C4⋊Q8C2314yes—
92C5×#125—28no—
93C5×#125—22no—
94C5×#125—22no—
95C5×#125C2314yes—
96C5×#125C2314yes—
97C5×C22⋊Q8—28no—
98C5×C22⋊Q8—28no—
99C5×#117—22no—
100C5×#117D414yes—
101C5×#117C2314yes—
102C5×#117C2314yes—
103C2×C5×C4⋊C4—21no—
104C2×C5×C4⋊C4—22no—
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⋊C4D411yescharacteristic
112C2×C5×C4⋊C4D411yescharacteristic
113C2×C5×C4⋊C4C2311yescharacteristic
114C2×C5×C4⋊C4C2311yescharacteristic
115C2×C5×C4⋊C4C2314yes—
116C2×C5×C4⋊C4C2311yescharacteristic
117C2×C5×C4⋊C4C2311yescharacteristic
118C2×C5×C22⋊C4—21no—
119C2×C5×C22⋊C4D411yescharacteristic
120C2×C5×C22⋊C4D411yescharacteristic
121C2×C42×C5—21no—
122C2×C42×C5C2311yescharacteristic
123C2×C42×C5C2311yescharacteristic
124C2×C22⋊Dic5—21no—
125#4076—22no—
126#4076C2314yes—
127C2×#685—21no—
128C2×#685—21no—
129C2×#685—21no—
130C2×#685—21no—
131C2×C4⋊Dic5—21no—
132C2×C4⋊Dic5C2311yescharacteristic
133C2×C4⋊Dic5C2311yescharacteristic
134#4070—22no—
135#4070C2314yes—
136C2×#683—21no—
137C2×#683—21no—
138C2×C4×Dic5—21no—
139C22×#168C2311yescharacteristic
140C22×#168C2311yescharacteristic
141C22×#168C2311yescharacteristic
142C22×#168C2311yescharacteristic
143#4044—28no—
144#4042—28no—
145#4031—28no—
146#4029—28no—
147#4021—22no—
148#4021C2314yes—
149C4×D20—22no—
150C4×D20C2314yes—
151#4015—22no—
152#4015C2314yes—
153C4×Dic10—22no—
154C4×Dic10C2314yes—
155C22⋊#168C2314yes—
156C22⋊#168C2314yes—
157#3942C2314yes—
158#3942C2314yes—
159#3942C2314yes—
160#3942C2314yes—
161#3941C2314yes—
162#3941C2314yes—
163#3941C2314yes—
164#3941C2314yes—
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×#544D511yescharacteristic, complemented
178C2×#542—51no—
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×C5C2×D411yescharacteristic
194C23×D5—21no—
195C2×C5×Q8—24no—
196C2×C5×Q8—24no—
197C2×C5×Q8—82no—
198C2×C5×Q8—82no—
199C22×C4×C5—22no—
200C22×C4×C5—22no—
201C22×C4×C5—21no—
202C22×C4×C5—21no—
203C22×C4×C5—21no—
204C22×C4×C5—21no—
205C22×C4×C5—24no—
206C22×C4×C5—82no—
207C22×C4×C5C2×D411yescharacteristic
208C22×C4×C5C2×D411yescharacteristic
209C22×C4×C5C2×D411yescharacteristic
210C22×C4×C5C2×D411yescharacteristic
211C22×C4×C5C2×D411yescharacteristic
212C22×C4×C5C2×D412yes—
213C22×C4×C5C2412yes—
214C22×C4×C5C2411yescharacteristic
215C2×C22⋊D5—24no—
216C2×C22⋊D5—82no—
217C22×Dic5—21no—
218C22×Dic5—21no—
219C22×Dic5—21no—
220C2×D20—22no—
221C2×D20—22no—
222C2×D20—21no—
223C2×D20C2412yes—
224C2×C4×D5—24no—
225C2×C4×D5—82no—
226C2×Dic10—22no—
227C2×Dic10—22no—
228C2×Dic10—21no—
229C2×Dic10—24no—
230C2×Dic10—82no—
231C2×Dic10C2412yes—
232C5×C4⋊C4—24no—
233C5×C4⋊C4—21no—
234C5×C4⋊C4—21no—
235C5×C4⋊C4—24no—
236C5×C4⋊C4—24no—
237C5×C4⋊C4—24no—
238C5×C4⋊C4—24no—
239C5×C4⋊C4—24no—
240C5×C4⋊C4—24no—
241C5×C4⋊C4—21no—
242C5×C4⋊C4—21no—
243C5×C4⋊C4C2×D414yes—
244C5×C4⋊C4C2×D414yes—
245C5×C4⋊C4C2412yes—
246C5×C4⋊C4C2412yes—
247C5×C4⋊C4C2412yes—
248C5×C4⋊C4C2412yes—
249C5×C22⋊C4—24no—
250C5×C22⋊C4C2×D414yes—
251C5×C22⋊C4C2×D414yes—
252C42×C5—24no—
253C42×C5C2×D412yes—
254C42×C5C2×D412yes—
255C42×C5C2412yes—
256C42×C5C2412yes—
257C22⋊Dic5—24no—
258#685—24no—
259#685—24no—
260#685—24no—
261#685—24no—
262C4⋊Dic5—21no—
263C4⋊Dic5—21no—
264C4⋊Dic5—24no—
265C4⋊Dic5C2412yes—
266C4⋊Dic5C2412yes—
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—24no—
279#544C2×D518yescomplemented
280#542—58no—
281#542—104no—
282C2×C4⋊Q8—21no—
283C2×C4⋊Q8—51no—
284C2×C4⋊Q8C2×D511yescharacteristic
285C2×C4⋊Q8C2×D511yescharacteristic
286C2×#126—101no—
287C2×#125—21no—
288C2×#125C2×D511yescharacteristic
289C2×#125C2×D511yescharacteristic
290C2×#124—51no—
291C2×#124—101no—
292C2×#123—101no—
293C2×C22⋊Q8—21no—
294C2×C22⋊Q8—21no—
295C2×C22⋊Q8—51no—
296C2×C22⋊Q8—101no—
297C2×#121—51no—
298C2×C4×Q8—51no—
299C2×C4×D4—51no—
300C2×#117C2×D511yescharacteristic
301C2×#117C2×D511yescharacteristic
302C22×C4⋊C4C2×D511yescharacteristic
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×C5C22×D412yes—
342C23×C5C22×D411yescharacteristic
343C22×D5—22no—
344C22×D5—42no—
345C22×D5—42no—
346C22×D5—42no—
347C5×Q8—84no—
348C5×Q8—84no—
349C2×C4×C5—22no—
350C2×C4×C5—22no—
351C2×C4×C5—22no—
352C2×C4×C5—22no—
353C2×C4×C5—22no—
354C2×C4×C5—24no—
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×C5—84no—
366C2×C4×C5C22×D412yes—
367C2×C4×C5C22×D412yes—
368C2×C4×C5C22×D412yes—
369C2×C4×C5C22×D412yes—
370C2×C4×C5C22×D412yes—
371C2×C4×C5C22×D411yescharacteristic
372C2×C4×C52−1+412yes—
373C2×C4×C52−1+412yes—
374C2×C4×C5C2511yescharacteristic
375C22⋊D5—84no—
376C2×Dic5—22no—
377C2×Dic5—22no—
378C2×Dic5—22no—
379C2×Dic5—42no—
380C2×Dic5—42no—
381C2×Dic5—42no—
382D20—22no—
383D20—22no—
384D20—42no—
385C4×D5—84no—
386Dic10—22no—
387Dic10—22no—
388Dic10—42no—
389Dic10—84no—
390#168—22no—
391#168—22no—
392#168—22no—
393#168—22no—
394C22×Q8—21no—
395C22×Q8—21no—
396C22×Q8—51no—
397C22×Q8—101no—
398C22×D4—51no—
399C22×D4—101no—
400C23×C4—21no—
401C23×C4—101no—
402C23×C4C22×D511yescharacteristic
403C22×C8—51no—
404C22×C8—51no—
405C22×C8—51no—
406C22×C8—51no—
407C4⋊Q8—28no—
408C4⋊Q8—22no—
409C4⋊Q8—22no—
410C4⋊Q8—54no—
411C4⋊Q8—102no—
412C4⋊Q8C22×D514yes—
413C4⋊Q8C22×D514yes—
414#126—108no—
415#125—28no—
416#125—22no—
417#125—22no—
418#125C22×D514yes—
419#125C22×D514yes—
420#124—54no—
421#124—108no—
422#124—102no—
423#123—108no—
424C22⋊Q8—28no—
425C22⋊Q8—28no—
426C22⋊Q8—54no—
427C22⋊Q8—102no—
428C22⋊Q8—108no—
429#121—54no—
430#121—102no—
431C4×Q8—54no—
432C4×Q8—102no—
433C4×D4—54no—
434C4×D4—102no—
435#117—22no—
436#117C22⋊D514yes—
437#117C22×D514yes—
438#117C22×D514yes—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—22no—
441C2×C4⋊C4—21no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—21no—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—51no—
448C2×C4⋊C4—51no—
449C2×C4⋊C4—101no—
450C2×C4⋊C4—101no—
451C2×C4⋊C4—101no—
452C2×C4⋊C4C22⋊D511yescharacteristic
453C2×C4⋊C4C22⋊D511yescharacteristic
454C2×C4⋊C4C22×D511yescharacteristic
455C2×C4⋊C4C22×D511yescharacteristic
456C2×C4⋊C4C22×D514yes—
457C2×C4⋊C4C22×D511yescharacteristic
458C2×C4⋊C4C22×D511yescharacteristic
459C2×C22⋊C4—21no—
460C2×C22⋊C4—101no—
461C2×C22⋊C4—101no—
462C2×C22⋊C4—101no—
463C2×C22⋊C4—101no—
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#53612yes—
498C22×C5#57612yes—
499C22×C5#57812yes—
500C22×C5C23×D411yescharacteristic
501C2×D5—42no—
502C2×D5—42no—
503C2×D5—42no—
504C2×D5—84no—
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—42no—
514C4×C5#53612yes—
515C4×C5C2×2−1+411yescharacteristic
516C4×C5C2×2−1+411yescharacteristic
517Dic5—42no—
518Dic5—42no—
519Dic5—42no—
520C24—101no—
521C24C2×C22⋊D511yescharacteristic
522C2×Q8—24no—
523C2×Q8—24no—
524C2×Q8—52no—
525C2×Q8—82no—
526C2×Q8—82no—
527C2×Q8—101no—
528C2×Q8—104no—
529C2×Q8—102no—
530C2×Q8—102no—
531C2×Q8—402no—
532C2×D4—52no—
533C2×D4—104no—
534C2×D4—102no—
535C2×D4—102no—
536C2×D4—101no—
537C2×D4—402no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—24no—
545C22×C4—82no—
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—21no—
569C4⋊C4—21no—
570C4⋊C4—24no—
571C4⋊C4—24no—
572C4⋊C4—24no—
573C4⋊C4—24no—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—52no—
579C4⋊C4—52no—
580C4⋊C4—101no—
581C4⋊C4—101no—
582C4⋊C4—104no—
583C4⋊C4—104no—
584C4⋊C4—104no—
585C4⋊C4C2×C22⋊D514yes—
586C4⋊C4C2×C22⋊D514yes—
587C4⋊C4C23×D512yes—
588C4⋊C4C23×D512yes—
589C4⋊C4C23×D512yes—
590C4⋊C4C23×D512yes—
591C22⋊C4—24no—
592C22⋊C4—104no—
593C22⋊C4—104no—
594C22⋊C4—104no—
595C22⋊C4—104no—
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#324314yescomplemented
607C2×C5C2×#53611yescharacteristic
608C2×C5C2×#57611yescharacteristic
609C2×C5C2×#57811yescharacteristic
610D5—82no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—102no—
615C23—202no—
616C23—202no—
617C23—202no—
618C23C22×C22⋊D512yes—
619C23C22×C22⋊D511yescharacteristic
620Q8—84no—
621Q8—84no—
622Q8—102no—
623Q8—102no—
624Q8—202no—
625Q8—404no—
626D4—102no—
627D4—102no—
628D4—202no—
629D4—404no—
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—22no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—84no—
647C2×C4—102no—
648C2×C4—102no—
649C2×C4—102no—
650C2×C4—202no—
651C2×C4—202no—
652C2×C4—202no—
653C2×C4—404no—
654C2×C4#414712yes—
655C2×C4#414712yes—
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—202no—
673C22—202no—
674C22—202no—
675C22—404no—
676C22#6615012yes—
677C22#6616912yes—
678C22#6617212yes—
679C22C23×C22⋊D511yescharacteristic
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—22no—
685C4—42no—
686C4—42no—
687C4—42no—
688C4—42no—
689C4—202no—
690C4—202no—
691C4—202no—
692C4#6615012yes—
693C4C2×#414711yescharacteristic
694C4C2×#414711yescharacteristic
695C2—42no—
696C2—402no—
697C2#1061520914yesdirect product factor
698C2C2×#6615011yescharacteristic
699C2C2×#6616911yescharacteristic
700C2C2×#6617211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC2×C5×#544C2
socleC23×C5C22×D4
prime radicalC2×#4076C22
hypercenterC2×#544D5
hypocenterC5C2×#3243
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#544

Complements

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

NH ≅ G/Ntype
1. C2×C5×#544C2semidirect
3. #10615209C2direct (N × H)
4. C2×#65380C2semidirect
5. C2×#65376C2semidirect
6. C2×#65367C2semidirect
7. C2×#65378C2semidirect
8. C2×#65352C2semidirect
9. C2×#65355C2semidirect
10. C2×#65354C2semidirect
11. C2×#65357C2semidirect
12. C2×#65285C2semidirect
14. C2×#65289C2semidirect
15. C2×#65259C2semidirect
18. C5×#544C22semidirect
44. #65380C22semidirect
45. #65378C22semidirect
46. #65376C22semidirect
47. #65367C22semidirect
48. #65357C22semidirect
49. #65355C22semidirect
50. #65354C22semidirect
51. #65352C22semidirect
53. #65289C22semidirect
54. #65285C22semidirect
55. #65259C22semidirect
177. C2×#544D5semidirect
279. #544C2×D5semidirect
606. C2×C5#3243semidirect
667. C5C2×#3243semidirect
697. C2#10615209direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#5442
C2×#658682
#106152092
C2×#653802
C2×#653762
C2×#653672
C2×#653782
C2×#653522
C2×#653552
C2×#653542
C2×#653572
C2×#652852
C2×#652922
C2×#652892
C2×#652592
C2×#652562
C2×#32435