Finite Group Databasebeta

← C2×#10605741 #12258581

Subgroups — C2×#10605741 #12258581

Order 1280.

4718 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×C22⋊D5C211yesmaximal, characteristic
2C23×C4⋊Dic5C211yesmaximal, characteristic, complemented
3C22×D5×C4⋊C4C211yesmaximal, characteristic, complemented
4C22×#4027C212yesmaximal
5C2×C5×#380C211yesmaximal, characteristic, complemented
6C2×#65276C211yesmaximal, characteristic, complemented
7C2×#65265C211yesmaximal, characteristic, complemented
8C2×C4⋊C4×Dic5C211yesmaximal, characteristic, complemented
9C2×#65235C212yesmaximal, complemented
10#10605741C2116yesmaximal, direct product factor
11C2×#64957C212yesmaximal, complemented
12C2×#64936C212yesmaximal, complemented
13C24×C4×C5C2211yescharacteristic
14C23×C22⋊D5C2211yescharacteristic
15C24×Dic5C2212yes—
16C23×C4×D5C2212yes—
17C23×C4×D5C2211yescharacteristic
18C22×C5×C4⋊C4C2211yescharacteristic
19C22×C5×C4⋊C4C2211yescharacteristic
20C22×C5×C22⋊C4C2212yes—
21C22×C22⋊Dic5C2211yescharacteristic
22C2×C4×C22⋊D5C4116yescomplemented
23C2×C4×C22⋊D5C2218yes—
24C22×#685C2212yes—
25C22×#685C2211yescharacteristic
26C22×C4⋊Dic5—28no—
27C22×C4⋊Dic5C2212yes—
28C22×C4⋊Dic5C2211yescharacteristic
29C22×C4⋊Dic5C2211yescharacteristic
30C22×C4⋊Dic5C2218yescomplemented
31C22×#683C2212yes—
32C22×#683C2212yes—
33C22×#683C2212yes—
34C22×#683C2211yescharacteristic
35C22×C4×Dic5C2212yes—
36C22×C4×Dic5C2211yescharacteristic
37C2×D5×C4⋊C4—28no—
38C2×D5×C4⋊C4C2218yescomplemented
39C2×#4027—216no—
40C2×#4027C22116yes—
41C5×#380C2218yescomplemented
42C2×C5×#95C2212yes—
43C2×#3963C2212yes—
44C2×#3963C2212yes—
45#65276C2218yescomplemented
46#65265C2218yescomplemented
47C4⋊C4×Dic5C2218yescomplemented
48#65235C22116yescomplemented
49#64957C22116yescomplemented
50#64936C22116yescomplemented
51C2×D4×C4⋊C4—51nomaximal, Sylow
52C25×C5C2311yescharacteristic
53C24×D5C2311yescharacteristic
54C23×C4×C5—24no—
55C23×C4×C5—24no—
56C23×C4×C5C2×C418yescomplemented
57C23×C4×C5C2312yes—
58C23×C4×C5C2312yes—
59C23×C4×C5C2311yescharacteristic
60C23×C4×C5C2314yes—
61C23×C4×C5C2311yescharacteristic
62C22×C22⋊D5C2×C418yes—
63C22×C22⋊D5D418yes—
64C22×C22⋊D5Q818yes—
65C22×C22⋊D5C2314yes—
66C23×Dic5—28no—
67C23×Dic5—28no—
68C23×Dic5—44no—
69C23×Dic5C2312yes—
70C23×Dic5C2318yes—
71C23×Dic5C2311yescharacteristic
72C23×Dic5C2311yescharacteristic
73C23×Dic5C2312yes—
74C23×Dic5C2311yescharacteristic
75C22×C4×D5—24no—
76C22×C4×D5—24no—
77C22×C4×D5—28no—
78C22×C4×D5—28no—
79C22×C4×D5—44no—
80C22×C4×D5C2×C418yescomplemented
81C22×C4×D5C2318yes—
82C22×C4×D5C2314yes—
83C2×C5×C4⋊C4—24no—
84C2×C5×C4⋊C4—24no—
85C2×C5×C4⋊C4C2314yes—
86C2×C5×C4⋊C4C2314yes—
87C2×C5×C22⋊C4—28no—
88C2×C5×C22⋊C4C2318yes—
89C2×C22⋊Dic5C2×C418yescomplemented
90C2×C22⋊Dic5C2314yes—
91C4×C22⋊D5C2×C4164yescomplemented
92C2×#685—28no—
93C2×#685C2×C418yescomplemented
94C2×#685C2318yes—
95C2×#685C2314yes—
96C2×C4⋊Dic5—24no—
97C2×C4⋊Dic5—28no—
98C2×C4⋊Dic5—232no—
99C2×C4⋊Dic5D418yescomplemented
100C2×C4⋊Dic5C2318yes—
101C2×C4⋊Dic5C2314yes—
102C2×C4⋊Dic5C2314yes—
103C2×#683—28no—
104C2×#683—28no—
105C2×#683—44no—
106C2×#683C2×C418yescomplemented
107C2×#683C2318yes—
108C2×#683C2318yes—
109C2×#683C2318yes—
110C2×#683C2314yes—
111C2×C4×Dic5—28no—
112C2×C4×Dic5C2×C418yescomplemented
113C2×C4×Dic5C2318yes—
114C2×C4×Dic5C2314yes—
115D5×C4⋊C4—232no—
116#4027—264no—
117C5×#95C2318yes—
118#3963C2318yes—
119#3963C2318yes—
120C22×C4×D4—51no—
121C22×C4×D4—52no—
122C23×C4⋊C4—51no—
123C23×C4⋊C4—51no—
124D4×C4⋊C4—516no—
125C2×#389—52no—
126C2×#385—52no—
127C2×#385—52no—
128C2×#384—51no—
129C2×#380—51no—
130C2×#380D511yescharacteristic, complemented
131C2×C4×C4⋊C4—51no—
132C24×C5—22no—
133C24×C5—22no—
134C24×C5—22no—
135C24×C5—22no—
136C24×C5C22×C414yes—
137C24×C5C2×D414yes—
138C24×C5C2×Q814yes—
139C24×C5C2412yes—
140C24×C5C2411yescharacteristic
141C23×D5—22no—
142C23×D5—22no—
143C23×D5—22no—
144C23×D5—22no—
145C23×D5C22×C414yes—
146C23×D5C2×D414yes—
147C23×D5C2×Q814yes—
148C23×D5C2412yes—
149C22×C4×C5—22no—
150C22×C4×C5—22no—
151C22×C4×C5—232no—
152C22×C4×C5—28no—
153C22×C4×C5—28no—
154C22×C4×C5—24no—
155C22×C4×C5—24no—
156C22×C4×C5—24no—
157C22×C4×C5—24no—
158C22×C4×C5—24no—
159C22×C4×C5—24no—
160C22×C4×C5C22×C414yes—
161C22×C4×C5C22×C414yes—
162C22×C4×C5C22×C4116yescomplemented
163C22×C4×C5C2×D414yes—
164C22×C4×C5#4114yes—
165C22×C4×C5C2414yes—
166C22×C4×C5C2414yes—
167C22×C4×C5C2412yes—
168C22×C4×C5C2412yes—
169C2×C22⋊D5C4⋊C4164yescomplemented
170C2×C22⋊D5C22×C4116yes—
171C2×C22⋊D5C2×D4116yes—
172C2×C22⋊D5C2×Q8116yes—
173C22×Dic5—24no—
174C22×Dic5—22no—
175C22×Dic5—22no—
176C22×Dic5—24no—
177C22×Dic5—22no—
178C22×Dic5—22no—
179C22×Dic5—216no—
180C22×Dic5—24no—
181C22×Dic5—24no—
182C22×Dic5—24no—
183C22×Dic5—216no—
184C22×Dic5—48no—
185C22×Dic5—432no—
186C22×Dic5C22×C414yes—
187C22×Dic5C22×C414yes—
188C22×Dic5C22×C414yes—
189C22×Dic5C2×D418yes—
190C22×Dic5C2×D414yes—
191C22×Dic5C2×Q814yes—
192C22×Dic5C2414yes—
193C22×Dic5C2412yes—
194C22×Dic5C2412yes—
195C22×Dic5C2414yes—
196C22×Dic5C2412yes—
197C2×C4×D5—232no—
198C2×C4×D5—28no—
199C2×C4×D5—28no—
200C2×C4×D5—216no—
201C2×C4×D5—216no—
202C2×C4×D5—48no—
203C2×C4×D5—432no—
204C2×C4×D5C22×C4116yescomplemented
205C5×C4⋊C4—28no—
206C5×C4⋊C4—28no—
207C5×C22⋊C4—216no—
208C22⋊Dic5C22×C4116yescomplemented
209#685—216no—
210#685C22×C4116yescomplemented
211C4⋊Dic5—28no—
212C4⋊Dic5—216no—
213C4⋊Dic5C2×D4116yescomplemented
214#683—216no—
215#683—216no—
216#683—48no—
217#683C22×C4116yescomplemented
218C4×Dic5—216no—
219C4×Dic5C22×C4116yescomplemented
220C23×D4—51no—
221C24×C4—51no—
222C24×C4—52no—
223C24×C4—52no—
224C24×C4C2×D511yescharacteristic
225C2×C4×D4—516no—
226C2×C4×D4—58no—
227C2×C4×D4—516no—
228C2×C4×D4—1016no—
229C22×C4⋊C4—51no—
230C22×C4⋊C4—51no—
231C22×C4⋊C4—58no—
232C22×C4⋊C4—52no—
233C22×C4⋊C4—52no—
234C22×C4⋊C4—51no—
235C22×C4⋊C4—52no—
236C22×C4⋊C4—52no—
237C22×C4⋊C4—58no—
238C22×C4⋊C4—108no—
239C22×C4⋊C4—108no—
240C22×C4⋊C4C2×D511yescharacteristic
241C22×C4⋊C4C2×D511yescharacteristic
242C22×C22⋊C4—51no—
243C22×C22⋊C4—51no—
244C22×C22⋊C4—52no—
245C22×C22⋊C4C2×D512yes—
246C22×C42—51no—
247C22×C42—52no—
248#389—516no—
249#385—516no—
250#385—516no—
251#384—58no—
252#380—58no—
253#380C2×D518yescomplemented
254C4×C4⋊C4—58no—
255C2×#95—52no—
256C2×#95—52no—
257C2×#95C2×D512yes—
258C23×C5—28no—
259C23×C5—28no—
260C23×C5—28no—
261C23×C5—28no—
262C23×C5—28no—
263C23×C5—28no—
264C23×C5—22no—
265C23×C5—22no—
266C23×C5—22no—
267C23×C5—22no—
268C23×C5C2×C4⋊C4116yescomplemented
269C23×C5C23×C414yes—
270C23×C5C23×C412yes—
271C23×C5C22×D414yes—
272C23×C5C22×D412yes—
273C23×C5C22×D412yes—
274C23×C5C22×Q814yes—
275C23×C5C22×Q812yes—
276C23×C5C2×#4112yes—
277C23×C5H(5,𝔽2)12yes—
278C23×C52−1+412yes—
279C23×C5C2511yescharacteristic
280C22×D5—28no—
281C22×D5—28no—
282C22×D5—28no—
283C22×D5—28no—
284C22×D5—28no—
285C22×D5—28no—
286C22×D5—22no—
287C22×D5—22no—
288C22×D5—22no—
289C22×D5—22no—
290C22×D5C2×C4⋊C4116yescomplemented
291C22×D5C23×C414yes—
292C22×D5C22×D414yes—
293C22×D5C22×Q814yes—
294C2×C4×C5—28no—
295C2×C4×C5—22no—
296C2×C4×C5—22no—
297C2×C4×C5—232no—
298C2×C4×C5—24no—
299C2×C4×C5—24no—
300C2×C4×C5—24no—
301C2×C4×C5—24no—
302C2×C4×C5—24no—
303C2×C4×C5—24no—
304C2×C4×C5—48no—
305C2×C4×C5—48no—
306C2×C4×C5C4×D4116yescomplemented
307C2×C4×C5C23×C414yes—
308C2×C4×C5C23×C414yes—
309C2×C4×C5C22×D414yes—
310C2×C4×C5C2×#4114yes—
311C22⋊D5C2×C4⋊C4164yescomplemented
312C2×Dic5—28no—
313C2×Dic5—28no—
314C2×Dic5—216no—
315C2×Dic5—24no—
316C2×Dic5—22no—
317C2×Dic5—22no—
318C2×Dic5—22no—
319C2×Dic5—24no—
320C2×Dic5—22no—
321C2×Dic5—24no—
322C2×Dic5—24no—
323C2×Dic5—24no—
324C2×Dic5—432no—
325C2×Dic5—48no—
326C2×Dic5C2×C4⋊C4116yescomplemented
327C2×Dic5C23×C414yes—
328C2×Dic5C23×C414yes—
329C2×Dic5C23×C414yes—
330C2×Dic5C22×D418yes—
331C2×Dic5C22×D414yes—
332C2×Dic5C22×Q814yes—
333C4×D5—232no—
334C4×D5—432no—
335C25—51no—
336C25C22×D511yescharacteristic
337C22×D4—58no—
338C22×D4—58no—
339C22×D4—58no—
340C22×D4—54no—
341C23×C4—24no—
342C23×C4—24no—
343C23×C4—51no—
344C23×C4—51no—
345C23×C4—51no—
346C23×C4—52no—
347C23×C4—58no—
348C23×C4—54no—
349C23×C4—52no—
350C23×C4—58no—
351C23×C4—58no—
352C23×C4—108no—
353C23×C4—108no—
354C23×C4—108no—
355C23×C4—104no—
356C23×C4—104no—
357C23×C4—108no—
358C23×C4—204no—
359C23×C4—204no—
360C23×C4C4×D518yescomplemented
361C23×C4C22×D512yes—
362C23×C4C22×D512yes—
363C23×C4C22×D511yescharacteristic
364C23×C4C22×D514yes—
365C23×C4C22×D511yescharacteristic
366C4×D4—564no—
367C4×D4—1064no—
368C2×C4⋊C4—24no—
369C2×C4⋊C4—24no—
370C2×C4⋊C4—58no—
371C2×C4⋊C4—58no—
372C2×C4⋊C4—54no—
373C2×C4⋊C4—54no—
374C2×C4⋊C4—54no—
375C2×C4⋊C4—58no—
376C2×C4⋊C4—58no—
377C2×C4⋊C4—58no—
378C2×C4⋊C4—58no—
379C2×C4⋊C4—1032no—
380C2×C4⋊C4—1032no—
381C2×C4⋊C4—108no—
382C2×C4⋊C4—108no—
383C2×C4⋊C4—108no—
384C2×C4⋊C4—104no—
385C2×C4⋊C4—204no—
386C2×C4⋊C4C22×D514yes—
387C2×C4⋊C4C22×D514yes—
388C2×C22⋊C4—28no—
389C2×C22⋊C4—58no—
390C2×C22⋊C4—54no—
391C2×C22⋊C4—58no—
392C2×C22⋊C4—54no—
393C2×C22⋊C4—58no—
394C2×C22⋊C4—108no—
395C2×C22⋊C4C22×D518yes—
396C2×C42—58no—
397C2×C42—54no—
398C2×C42—58no—
399C2×C42—108no—
400#95—58no—
401#95—58no—
402#95C22×D518yes—
403C22×C5—232no—
404C22×C5—24no—
405C22×C5—24no—
406C22×C5—24no—
407C22×C5—24no—
408C22×C5—24no—
409C22×C5—24no—
410C22×C5C22×C4⋊C414yes—
411C22×C5C22×C4⋊C418yescomplemented
412C22×C5C2×C4×D414yes—
413C22×C5#52014yes—
414C22×C5D4214yes—
415C22×C5#54714yes—
416C22×C5D4×Q814yes—
417C22×C5#55414yes—
418C22×C5C24×C411yescharacteristic
419C22×C5C23×D411yescharacteristic
420C22×C5C23×D411yescharacteristic
421C22×C5C23×Q811yescharacteristic
422C22×C5C22×#4111yescharacteristic
423C22×C5C2×H(5,𝔽2)11yescharacteristic
424C22×C5C2×2−1+411yescharacteristic
425C2×D5—232no—
426C2×D5—24no—
427C2×D5—24no—
428C2×D5—24no—
429C2×D5—24no—
430C2×D5—24no—
431C2×D5—24no—
432C2×D5C22×C4⋊C418yescomplemented
433C4×C5—24no—
434C4×C5—44no—
435C4×C5—44no—
436C4×C5C2×C4×D418yescomplemented
437Dic5—24no—
438Dic5—24no—
439Dic5—28no—
440Dic5—44no—
441Dic5C22×C4⋊C418yescomplemented
442C24—22no—
443C24—22no—
444C24—22no—
445C24—22no—
446C24—54no—
447C24—54no—
448C24—54no—
449C24—52no—
450C24—102no—
451C24—102no—
452C24—102no—
453C24—102no—
454C24C2×C4×D514yes—
455C24D4×D514yes—
456C24Q8×D514yes—
457C24C23×D512yes—
458C24C23×D511yescharacteristic
459C2×D4—516no—
460C2×D4—516no—
461C2×D4—516no—
462C2×D4—564no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—28no—
466C22×C4—28no—
467C22×C4—232no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—54no—
475C22×C4—54no—
476C22×C4—54no—
477C22×C4—52no—
478C22×C4—54no—
479C22×C4—54no—
480C22×C4—58no—
481C22×C4—52no—
482C22×C4—52no—
483C22×C4—54no—
484C22×C4—516no—
485C22×C4—54no—
486C22×C4—1016no—
487C22×C4—1016no—
488C22×C4—1016no—
489C22×C4—104no—
490C22×C4—102no—
491C22×C4—102no—
492C22×C4—102no—
493C22×C4—104no—
494C22×C4—102no—
495C22×C4—108no—
496C22×C4—108no—
497C22×C4—1032no—
498C22×C4—104no—
499C22×C4—104no—
500C22×C4—1016no—
501C22×C4—104no—
502C22×C4—208no—
503C22×C4—2032no—
504C22×C4—208no—
505C22×C4—2032no—
506C22×C4C2×C4×D514yes—
507C22×C4C2×C4×D514yes—
508C22×C4C2×C4×D5116yescomplemented
509C22×C4D4×D514yes—
510C22×C4#71114yes—
511C22×C4C23×D514yes—
512C22×C4C23×D514yes—
513C22×C4C23×D512yes—
514C22×C4C23×D512yes—
515C4⋊C4—28no—
516C4⋊C4—28no—
517C4⋊C4—516no—
518C4⋊C4—516no—
519C4⋊C4—1016no—
520C4⋊C4—1016no—
521C4⋊C4—1016no—
522C4⋊C4—108no—
523C4⋊C4—208no—
524C22⋊C4—216no—
525C22⋊C4—516no—
526C22⋊C4—516no—
527C22⋊C4—1016no—
528C42—516no—
529C42—1016no—
530C2×C5—28no—
531C2×C5D4×C4⋊C418yescomplemented
532C2×C5C23×C4⋊C411yescharacteristic
533C2×C5C22×C4×D411yescharacteristic
534C2×C5C2×#52011yescharacteristic
535C2×C5C2×D4211yescharacteristic
536C2×C5C2×#54711yescharacteristic
537C2×C5C2×D4×Q811yescharacteristic
538C2×C5C2×#55411yescharacteristic
539D5—28no—
540C23—28no—
541C23—28no—
542C23—28no—
543C23—28no—
544C23—28no—
545C23—28no—
546C23—22no—
547C23—22no—
548C23—22no—
549C23—22no—
550C23—516no—
551C23—54no—
552C23—54no—
553C23—54no—
554C23—108no—
555C23—108no—
556C23—108no—
557C23—108no—
558C23—108no—
559C23—108no—
560C23—102no—
561C23—102no—
562C23—102no—
563C23—102no—
564C23D5×C4⋊C4116yescomplemented
565C23C22×C4×D514yes—
566C23C22×C4×D512yes—
567C23C2×D4×D514yes—
568C23C2×D4×D512yes—
569C23C2×D4×D512yes—
570C23C2×#71112yes—
571C23C2×Q8×D514yes—
572C23C2×Q8×D512yes—
573C23#414912yes—
574C23#415012yes—
575C23C24×D511yescharacteristic
576D4—564no—
577C2×C4—28no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—232no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—48no—
588C2×C4—48no—
589C2×C4—516no—
590C2×C4—54no—
591C2×C4—54no—
592C2×C4—54no—
593C2×C4—54no—
594C2×C4—54no—
595C2×C4—58no—
596C2×C4—108no—
597C2×C4—108no—
598C2×C4—1016no—
599C2×C4—104no—
600C2×C4—102no—
601C2×C4—102no—
602C2×C4—102no—
603C2×C4—104no—
604C2×C4—102no—
605C2×C4—1032no—
606C2×C4—104no—
607C2×C4—104no—
608C2×C4—104no—
609C2×C4—2032no—
610C2×C4—2032no—
611C2×C4—208no—
612C2×C4#4027116yescomplemented
613C2×C4C22×C4×D514yes—
614C2×C4C22×C4×D514yes—
615C2×C4C2×D4×D514yes—
616C2×C4C2×#71114yes—
617C5C2×D4×C4⋊C411yescharacteristic, complemented, Sylow
618C22—24no—
619C22—24no—
620C22—24no—
621C22—232no—
622C22—24no—
623C22—24no—
624C22—24no—
625C22—58no—
626C22—104no—
627C22—104no—
628C22—104no—
629C22—1032no—
630C22—104no—
631C22—104no—
632C22—104no—
633C22C2×#402714yes—
634C22C2×D5×C4⋊C414yes—
635C22C2×D5×C4⋊C418yescomplemented
636C22#6585714yes—
637C22#6594314yes—
638C22#6594514yes—
639C22#6596614yes—
640C22#6596914yes—
641C22C23×C4×D511yescharacteristic
642C22C22×D4×D511yescharacteristic
643C22C22×D4×D511yescharacteristic
644C22C22×#71111yescharacteristic
645C22C22×Q8×D511yescharacteristic
646C22C2×#414911yescharacteristic
647C22C2×#415011yescharacteristic
648C4—24no—
649C4—44no—
650C4—44no—
651C4—58no—
652C4—104no—
653C4—104no—
654C4—108no—
655C4—204no—
656C4C2×#402718yescomplemented
657C2—28no—
658C2—108no—
659C2#1060574118yesdirect product factor
660C2C22×#402711yescharacteristic
661C2C22×D5×C4⋊C411yescharacteristic
662C2C2×#6585711yescharacteristic
663C2C2×#6594511yescharacteristic
664C2C2×#6594311yescharacteristic
665C2C2×#6596611yescharacteristic
666C2C2×#6596911yescharacteristic
subgroupG/H
centerC24C23×D5
commutatorC22×C5C24×C4
FrattiniC23C24×D5
FittingC2×C5×#380C2
socleC24×C5C24
prime radicalC23×C22⋊D5C22
cosocleC23×C5C25
hypercenterC2×#380D5
hypocenterC5C2×D4×C4⋊C4
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C24 ◁ C2×#380

Complements

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

NH ≅ G/Ntype
2. C23×C4⋊Dic5C2semidirect
3. C22×D5×C4⋊C4C2semidirect
5. C2×C5×#380C2semidirect
6. C2×#65276C2semidirect
7. C2×#65265C2semidirect
8. C2×C4⋊C4×Dic5C2semidirect
9. C2×#65235C2semidirect
10. #10605741C2direct (N × H)
11. C2×#64957C2semidirect
12. C2×#64936C2semidirect
22. C2×C4×C22⋊D5C4semidirect
30. C22×C4⋊Dic5C22semidirect
38. C2×D5×C4⋊C4C22semidirect
41. C5×#380C22semidirect
45. #65276C22semidirect
46. #65265C22semidirect
47. C4⋊C4×Dic5C22semidirect
48. #65235C22semidirect
49. #64957C22semidirect
50. #64936C22semidirect
56. C23×C4×C5C2×C4semidirect
80. C22×C4×D5C2×C4semidirect
89. C2×C22⋊Dic5C2×C4semidirect
91. C4×C22⋊D5C2×C4semidirect
93. C2×#685C2×C4semidirect
99. C2×C4⋊Dic5D4semidirect
106. C2×#683C2×C4semidirect
112. C2×C4×Dic5C2×C4semidirect
130. C2×#380D5semidirect
162. C22×C4×C5C22×C4semidirect
169. C2×C22⋊D5C4⋊C4semidirect
204. C2×C4×D5C22×C4semidirect
208. C22⋊Dic5C22×C4semidirect
210. #685C22×C4semidirect
213. C4⋊Dic5C2×D4semidirect
217. #683C22×C4semidirect
219. C4×Dic5C22×C4semidirect
253. #380C2×D5semidirect
268. C23×C5C2×C4⋊C4semidirect
290. C22×D5C2×C4⋊C4semidirect
306. C2×C4×C5C4×D4semidirect
311. C22⋊D5C2×C4⋊C4semidirect
326. C2×Dic5C2×C4⋊C4semidirect
360. C23×C4C4×D5semidirect
411. C22×C5C22×C4⋊C4semidirect
432. C2×D5C22×C4⋊C4semidirect
436. C4×C5C2×C4×D4semidirect
441. Dic5C22×C4⋊C4semidirect
508. C22×C4C2×C4×D5semidirect
531. C2×C5D4×C4⋊C4semidirect
564. C23D5×C4⋊C4semidirect
612. C2×C4#4027semidirect
617. C5C2×D4×C4⋊C4semidirect
635. C22C2×D5×C4⋊C4semidirect
656. C4C2×#4027semidirect
659. C2#10605741direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×C22⋊D52
C23×C4⋊Dic52
C22×D5×C4⋊C42
C22×#40272
C2×C5×#3802
C2×#652762
C2×#652652
C2×C4⋊C4×Dic52
C2×#652352
#106057412
C2×#649572
C2×#649362
C2×D4×C4⋊C45