Finite Group Databasebeta

← C2×#11754350 #14482750

Subgroups — C2×#11754350 #14482750

Order 1920.

3264 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C5×#235C211yesmaximal, characteristic, complemented
2C22×#6768C211yesmaximal, characteristic, complemented
3C2×C4×#1220C211yesmaximal, characteristic, complemented
4C2×C3×#4070C211yesmaximal, characteristic, complemented
5C2×#91558C212yesmaximal, complemented
6C2×#91555C212yesmaximal, complemented
7C2×#91435C211yesmaximal, characteristic, complemented
8#11754350C2116yesmaximal, direct product factor
9C2×D3×#683C212yesmaximal, complemented
10C2×#91385C211yesmaximal, characteristic, complemented
11C2×#91383C211yesmaximal, characteristic, complemented
12C2×#91351C212yesmaximal, complemented
13C2×#66158—31nomaximal, Hall
14C23×C3×C4×C5C2211yescharacteristic
15C22×#1220C2211yescharacteristic
16C22×C4×D15C2211yescharacteristic
17C22×C5×#67C2212yes—
18C2×C5×#235—28no—
19C2×C5×#235C2218yescomplemented
20C22×C5×D12C2211yescharacteristic
21C22×C4×C5×D3C2212yes—
22C22×C5×Dic6C2211yescharacteristic
23C22×C3×Dic10C2211yescharacteristic
24C22×#1203C2212yes—
25C22×D3×Dic5C2212yes—
26C22×D3×Dic5C2212yes—
27C2×#6768—28no—
28C2×#6768C2218yescomplemented
29C2×#6719C2211yescharacteristic
30C4×#1220C2218yescomplemented
31C2×#6714C2211yescharacteristic
32C2×#6712C2211yescharacteristic
33C2×C4×Dic15C2211yescharacteristic
34C2×C3×C22⋊Dic5C2212yes—
35C2×C3×C4⋊Dic5C2211yescharacteristic
36C3×#4070C2218yescomplemented
37C2×C3×#683C2212yes—
38#91558C22116yescomplemented
39#91555C22116yescomplemented
40C2×#6669C2212yes—
41C2×#6669C2212yes—
42C2×#6668C2212yes—
43C2×#6667C2212yes—
44C2×(C2×D3)⋊Dic5C2212yes—
45#91435C2218yescomplemented
46D3×#683C22116yescomplemented
47#91385C2218yescomplemented
48#91383C2218yescomplemented
49#91351C22116yescomplemented
50C2×#5631—51nomaximal, Hall
51C22×C5×#41—31no—
52C22×#711—31no—
53#66158—316no—
54C2×#4092—31no—
55C2×#4090—31no—
56C2×#4085—32no—
57C2×#4081—32no—
58C2×D4×Dic5—31no—
59C2×#4075—32no—
60C2×C4×C22⋊D5—31no—
61C2×#4070D311yescharacteristic, complemented
62C22×#683—32no—
63C24×C3×C5C2311yescharacteristic
64C23×D15C2311yescharacteristic
65C23×C5×D3C2312yes—
66C22×C3×C4×C5—24no—
67C22×C3×C4×C5C2311yescharacteristic
68C22×C3×C4×C5C2314yes—
69C22×C3×C4×C5C2311yescharacteristic
70C2×#1220—24no—
71C2×#1220C2314yes—
72C22×Dic15C2311yescharacteristic
73C22×Dic15C2311yescharacteristic
74C22×Dic15C2311yescharacteristic
75C2×C4×D15—24no—
76C2×C4×D15C2314yes—
77C2×C5×#67—28no—
78C2×C5×#67C2318yes—
79C22×C5×Dic3C2312yes—
80C5×#235—232no—
81C2×C5×D12D418yescomplemented
82C2×C5×D12C2314yes—
83C2×C4×C5×D3—28no—
84C2×C4×C5×D3C2318yes—
85C2×C5×Dic6—24no—
86C2×C5×Dic6C2314yes—
87C22×C3×Dic5C2312yes—
88C22×C3×Dic5C2312yes—
89C2×C3×Dic10—24no—
90C2×C3×Dic10C2314yes—
91C2×#1203—28no—
92C2×#1203C2318yes—
93C2×D3×Dic5—28no—
94C2×D3×Dic5—28no—
95C2×D3×Dic5C2318yes—
96C2×D3×Dic5C2318yes—
97#6768—232no—
98#6719C2314yes—
99#6714C2314yes—
100#6712C2314yes—
101C4×Dic15C2314yes—
102C3×C22⋊Dic5C2318yes—
103C3×C4⋊Dic5C2314yes—
104C3×#683C2318yes—
105#6669C2318yes—
106#6669C2318yes—
107#6668C2318yes—
108#6667C2318yes—
109(C2×D3)⋊Dic5C2318yes—
110C22×#239—51no—
111C22×#235D511yescharacteristic, complemented
112C2×C3×C22⋊Q8—51no—
113C2×#944—51no—
114C2×C4×#67—51no—
115#5631—516no—
116C2×#897—51no—
117C2×#894—52no—
118C2×#893—51no—
119C2×D3×C4⋊C4—52no—
120C2×#884—52no—
121C2×#883—52no—
122C2×C5×#41—38no—
123C2×C5×#41—68no—
124C22×C5×Q8—31no—
125C22×C5×D4—32no—
126C22×C5×D4—31no—
127C23×C4×C5—32no—
128C23×C4×C5C2×D311yescharacteristic
129C22×C22⋊D5—31no—
130C22×C22⋊D5—32no—
131C23×Dic5—32no—
132C23×Dic5—32no—
133C2×#711—38no—
134C2×#711—68no—
135C22×C4×D5—31no—
136C22×Dic10C2×D311yescharacteristic
137C2×C22⋊Dic5—31no—
138C2×C22⋊Dic5—32no—
139C2×C22⋊Dic5C2×D312yes—
140#4092—38no—
141#4090—38no—
142#4085—316no—
143#4081—316no—
144D4×Dic5—38no—
145#4075—316no—
146C4×C22⋊D5—38no—
147C2×#685—31no—
148C2×#685—32no—
149C2×C4⋊Dic5C2×D311yescharacteristic
150#4070C2×D318yescomplemented
151C2×#683—31no—
152C2×#683—32no—
153C2×#683—32no—
154C2×#683—32no—
155C2×#683—316no—
156C2×#683C2×D312yes—
157C2×C4×Dic5—31no—
158C2×#547—151noSylow
159C23×C3×C5—22no—
160C23×C3×C5—22no—
161C23×C3×C5—22no—
162C23×C3×C5C2412yes—
163C23×C3×C5C2411yescharacteristic
164C22×D15—22no—
165C22×D15—22no—
166C22×D15—22no—
167C22×D15C2412yes—
168C22×C5×D3—24no—
169C22×C5×D3—24no—
170C22×C5×D3C2×D418yes—
171C22×C5×D3C2414yes—
172C2×C3×C4×C5—22no—
173C2×C3×C4×C5—28no—
174C2×C3×C4×C5C2×D414yes—
175C2×C3×C4×C5C2412yes—
176C2×C3×C4×C5C2412yes—
177#1220—28no—
178C2×Dic15—22no—
179C2×Dic15—22no—
180C2×Dic15#4114yescomplemented
181C2×Dic15C2412yes—
182C2×Dic15C2412yes—
183C2×Dic15C2412yes—
184C4×D15—28no—
185C5×#67—216no—
186C2×C5×Dic3—24no—
187C2×C5×Dic3C2414yes—
188C5×D12C2×D4116yescomplemented
189C4×C5×D3—216no—
190C5×Dic6—28no—
191C2×C3×Dic5—24no—
192C2×C3×Dic5—24no—
193C2×C3×Dic5C2414yes—
194C2×C3×Dic5C2414yes—
195C3×Dic10—28no—
196#1203—216no—
197D3×Dic5—216no—
198D3×Dic5—216no—
199C22×C3×Q8—51no—
200C23×C3×C4C2×D511yescharacteristic
201C22×#67—51no—
202C22×#67C2×D512yes—
203C2×#239—58no—
204C2×#239—108no—
205C2×#235—28no—
206C2×#235C2×D518yescomplemented
207C22×D12—52no—
208C22×D12C2×D511yescharacteristic
209C22×C4×D3—52no—
210C22×C4×D3—52no—
211C22×C4×D3—51no—
212C22×C4×D3C2×D512yes—
213C22×Dic6C2×D511yescharacteristic
214C3×C22⋊Q8—58no—
215C2×C3×C4⋊C4—52no—
216C2×C3×C4⋊C4—51no—
217C2×C3×C22⋊C4—52no—
218C2×#217—51no—
219#944—58no—
220C4×#67—58no—
221C2×(C2×D3)⋊C4—52no—
222C2×(C2×D3)⋊C4—51no—
223C2×(C2×D3)⋊C4—52no—
224C2×C4⋊Dic3—52no—
225C2×Dic3⋊C4—51no—
226C2×Dic3⋊C4—52no—
227C2×Dic3⋊C4—52no—
228C2×C4×Dic3—51no—
229#897—58no—
230#894—516no—
231#893—58no—
232D3×C4⋊C4—516no—
233#884—516no—
234#883—516no—
235C24×C5—32no—
236C24×C5C22×D311yescharacteristic
237C23×D5—31no—
238C5×#41—632no—
239C2×C5×Q8—34no—
240C2×C5×Q8—64no—
241C2×C5×D4—38no—
242C2×C5×D4—38no—
243C2×C5×D4—34no—
244C2×C5×D4—68no—
245C22×C4×C5—24no—
246C22×C4×C5—32no—
247C22×C4×C5—38no—
248C22×C4×C5—68no—
249C22×C4×C5C22×D311yescharacteristic
250C22×C4×C5C22×D314yes—
251C22×C4×C5C22×D311yescharacteristic
252C2×C22⋊D5—34no—
253C2×C22⋊D5—38no—
254C2×C22⋊D5—68no—
255C2×C22⋊D5—64no—
256C22×Dic5—31no—
257C22×Dic5—31no—
258C22×Dic5—31no—
259C22×Dic5—38no—
260C22×Dic5—38no—
261C22×Dic5—68no—
262C22×Dic5—68no—
263C22×Dic5C22×D312yes—
264C22×Dic5C22×D312yes—
265#711—632no—
266C2×C4×D5—34no—
267C2×C4×D5—64no—
268C2×Dic10—24no—
269C2×Dic10C22×D314yes—
270C22⋊Dic5—34no—
271C22⋊Dic5—38no—
272C22⋊Dic5C22×D318yes—
273#685—34no—
274#685—38no—
275C4⋊Dic5C22×D314yes—
276#683—34no—
277#683—38no—
278#683—38no—
279#683—38no—
280#683C22×D318yes—
281C4×Dic5—34no—
282C22×#41—31no—
283C22×#41—151no—
284#547—1516no—
285C2×C4⋊Q8—151no—
286C2×#123—152no—
287C2×#123—152no—
288C2×C22⋊Q8—51no—
289C2×C22⋊Q8—151no—
290C2×#121—152no—
291C2×C4×D4—151no—
292C2×C4×D4—151no—
293C22×C4⋊C4—152no—
294C22×C3×C5—22no—
295C22×C3×C5—22no—
296C22×C3×C5—22no—
297C22×C3×C5—44no—
298C22×C3×C5C22×D412yes—
299C22×C3×C5C2×#4112yes—
300C22×C3×C52−1+412yes—
301C22×C3×C5C2511yescharacteristic
302C2×D15—22no—
303C2×D15—22no—
304C2×D15—22no—
305C2×D15—44no—
306C2×C5×D3—216no—
307C2×C5×D3—24no—
308C2×C5×D3—24no—
309C2×C5×D3C22×D418yes—
310C3×C4×C5—22no—
311C3×C4×C5C22×D414yes—
312Dic15—22no—
313Dic15—22no—
314Dic15C2×#4114yescomplemented
315C3×Dic5—24no—
316C3×Dic5—24no—
317C5×Dic3—24no—
318C24×C3C22×D511yescharacteristic
319C23×D3—51no—
320C23×D3C22×D512yes—
321C2×C3×Q8—54no—
322C2×C3×Q8—104no—
323C22×C3×C4—24no—
324C22×C3×C4—52no—
325C22×C3×C4—52no—
326C22×C3×C4C22×D511yescharacteristic
327C22×C3×C4C22×D514yes—
328C22×C3×C4C22×D511yescharacteristic
329C2×#67—28no—
330C2×#67—54no—
331C2×#67—104no—
332C2×#67C22×D518yes—
333C22×Dic3—51no—
334C22×Dic3—51no—
335C22×Dic3—51no—
336C22×Dic3C22×D512yes—
337#239—1032no—
338#235—232no—
339C2×D12—58no—
340C2×D12—108no—
341C2×D12C22⋊D518yescomplemented
342C2×D12C22×D514yes—
343C2×C4×D3—28no—
344C2×C4×D3—58no—
345C2×C4×D3—58no—
346C2×C4×D3—54no—
347C2×C4×D3—108no—
348C2×C4×D3—108no—
349C2×C4×D3—104no—
350C2×C4×D3C22×D518yes—
351C2×Dic6—24no—
352C2×Dic6C22×D514yes—
353C3×C4⋊C4—58no—
354C3×C4⋊C4—54no—
355C3×C22⋊C4—58no—
356#217—54no—
357(C2×D3)⋊C4—58no—
358(C2×D3)⋊C4—54no—
359(C2×D3)⋊C4—58no—
360C4⋊Dic3—58no—
361Dic3⋊C4—54no—
362Dic3⋊C4—58no—
363Dic3⋊C4—58no—
364C4×Dic3—54no—
365C23×C5—22no—
366C23×C5—22no—
367C23×C5—22no—
368C23×C5—38no—
369C23×C5—34no—
370C23×C5—64no—
371C23×C5—64no—
372C23×C5C23×D312yes—
373C23×C5C23×D311yescharacteristic
374C22×D5—32no—
375C22×D5—62no—
376C22×D5—62no—
377C22×D5—62no—
378C5×Q8—68no—
379C5×D4—316no—
380C5×D4—616no—
381C2×C4×C5—22no—
382C2×C4×C5—28no—
383C2×C4×C5—34no—
384C2×C4×C5—616no—
385C2×C4×C5—64no—
386C2×C4×C5D3×D414yes—
387C2×C4×C5C23×D312yes—
388C2×C4×C5C23×D312yes—
389C22⋊D5—616no—
390C22⋊D5—68no—
391C2×Dic5—24no—
392C2×Dic5—24no—
393C2×Dic5—34no—
394C2×Dic5—32no—
395C2×Dic5—32no—
396C2×Dic5—32no—
397C2×Dic5—616no—
398C2×Dic5—616no—
399C2×Dic5—62no—
400C2×Dic5—62no—
401C2×Dic5C23×D314yes—
402C2×Dic5C23×D314yes—
403C4×D5—68no—
404Dic10—28no—
405C2×#41—38no—
406C2×#41—68no—
407C2×#41—158no—
408C2×#41—308no—
409C22×Q8—31no—
410C22×Q8—51no—
411C22×D4—32no—
412C22×D4—31no—
413C22×D4—152no—
414C22×D4—151no—
415C23×C4—32no—
416C23×C4—152no—
417C23×C4—152no—
418C23×C4—151no—
419C23×C4D3×D511yescharacteristic
420C4⋊Q8—158no—
421#123—1516no—
422#123—1516no—
423C22⋊Q8—58no—
424C22⋊Q8—158no—
425#121—1516no—
426C4×D4—158no—
427C4×D4—158no—
428C2×C4⋊C4—52no—
429C2×C4⋊C4—51no—
430C2×C4⋊C4—1516no—
431C2×C4⋊C4—152no—
432C2×C4⋊C4—152no—
433C2×C4⋊C4—152no—
434C2×C4⋊C4—151no—
435C2×C22⋊C4—52no—
436C2×C22⋊C4—152no—
437C2×C22⋊C4—152no—
438C2×C22⋊C4—151no—
439C2×C22⋊C4—151no—
440C2×C42—151no—
441C2×C3×C5—42no—
442C2×C3×C5#54714yescomplemented
443C2×C3×C5C23×D411yescharacteristic
444C2×C3×C5C22×#4111yescharacteristic
445C2×C3×C5C2×2−1+411yescharacteristic
446D15—42no—
447C5×D3—28no—
448C23×C3—22no—
449C23×C3—22no—
450C23×C3—22no—
451C23×C3C23×D512yes—
452C23×C3C23×D511yescharacteristic
453C22×D3—24no—
454C22×D3—24no—
455C22×D3—52no—
456C22×D3—102no—
457C22×D3—102no—
458C22×D3—102no—
459C22×D3C2×C22⋊D518yes—
460C22×D3C23×D514yes—
461C3×Q8—108no—
462C2×C3×C4—22no—
463C2×C3×C4—28no—
464C2×C3×C4—54no—
465C2×C3×C4—54no—
466C2×C3×C4—104no—
467C2×C3×C4—104no—
468C2×C3×C4C2×C22⋊D514yes—
469C2×C3×C4C23×D512yes—
470C2×C3×C4C23×D512yes—
471#67—216no—
472#67—108no—
473C2×Dic3—24no—
474C2×Dic3—54no—
475C2×Dic3—52no—
476C2×Dic3—52no—
477C2×Dic3—52no—
478C2×Dic3—102no—
479C2×Dic3—102no—
480C2×Dic3C23×D514yes—
481D12—1016no—
482D12C2×C22⋊D5116yescomplemented
483C4×D3—216no—
484C4×D3—1016no—
485C4×D3—1016no—
486C4×D3—108no—
487Dic6—28no—
488C22×C5—22no—
489C22×C5—22no—
490C22×C5—22no—
491C22×C5—38no—
492C22×C5—44no—
493C22×C5—64no—
494C22×C5—64no—
495C22×C5—616no—
496C22×C5C2×D3×D412yes—
497C22×C5#100712yes—
498C22×C5D3×#4112yes—
499C22×C5C24×D311yescharacteristic
500C2×D5—62no—
501C2×D5—62no—
502C2×D5—62no—
503C2×D5—124no—
504C4×C5—22no—
505C4×C5—64no—
506C4×C5C2×D3×D414yes—
507Dic5—24no—
508Dic5—24no—
509Dic5—34no—
510Dic5—62no—
511Dic5—62no—
512C24—32no—
513C24—151no—
514C24C2×D3×D511yescharacteristic
515#41—632no—
516#41—3032no—
517C2×Q8—34no—
518C2×Q8—54no—
519C2×Q8—64no—
520C2×Q8—104no—
521C2×D4—38no—
522C2×D4—38no—
523C2×D4—34no—
524C2×D4—68no—
525C2×D4—158no—
526C2×D4—154no—
527C2×D4—308no—
528C2×D4—304no—
529C22×C4—24no—
530C22×C4—32no—
531C22×C4—38no—
532C22×C4—52no—
533C22×C4—52no—
534C22×C4—68no—
535C22×C4—158no—
536C22×C4—158no—
537C22×C4—151no—
538C22×C4—151no—
539C22×C4—151no—
540C22×C4—154no—
541C22×C4—308no—
542C22×C4—308no—
543C22×C4—304no—
544C22×C4C2×D3×D514yes—
545C22×C4C2×D3×D511yescharacteristic
546C22×C4C2×D3×D511yescharacteristic
547C4⋊C4—58no—
548C4⋊C4—54no—
549C4⋊C4—158no—
550C4⋊C4—158no—
551C4⋊C4—158no—
552C4⋊C4—154no—
553C22⋊C4—58no—
554C22⋊C4—158no—
555C22⋊C4—158no—
556C22⋊C4—154no—
557C22⋊C4—154no—
558C42—154no—
559C3×C5C2×#54711yescharacteristic, complemented, Hall
560C22×C3—22no—
561C22×C3—22no—
562C22×C3—22no—
563C22×C3—44no—
564C22×C3D5×#4112yes—
565C22×C3#415012yes—
566C22×C3C22×C22⋊D512yes—
567C22×C3C24×D511yescharacteristic
568C2×D3—216no—
569C2×D3—24no—
570C2×D3—24no—
571C2×D3—102no—
572C2×D3—102no—
573C2×D3—102no—
574C2×D3—204no—
575C2×D3C22×C22⋊D518yes—
576C3×C4—22no—
577C3×C4—104no—
578C3×C4—104no—
579C3×C4C22×C22⋊D514yes—
580Dic3—24no—
581Dic3—54no—
582Dic3—102no—
583Dic3—102no—
584C2×C5—42no—
585C2×C5—68no—
586C2×C5#563114yescomplemented
587C2×C5C22×D3×D411yescharacteristic
588C2×C5C2×#100711yescharacteristic
589C2×C5C2×D3×#4111yescharacteristic
590D5—122no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—38no—
595C23—34no—
596C23—64no—
597C23—64no—
598C23—152no—
599C23—302no—
600C23—302no—
601C23—302no—
602C23C22×D3×D512yes—
603C23C22×D3×D511yescharacteristic
604Q8—68no—
605Q8—108no—
606D4—316no—
607D4—616no—
608D4—3016no—
609D4—308no—
610C2×C4—22no—
611C2×C4—28no—
612C2×C4—34no—
613C2×C4—54no—
614C2×C4—54no—
615C2×C4—616no—
616C2×C4—64no—
617C2×C4—104no—
618C2×C4—104no—
619C2×C4—154no—
620C2×C4—152no—
621C2×C4—152no—
622C2×C4—152no—
623C2×C4—3016no—
624C2×C4—3016no—
625C2×C4—302no—
626C2×C4—302no—
627C2×C4—308no—
628C2×C4D3×C22⋊D514yes—
629C2×C4C22×D3×D512yes—
630C2×C4C22×D3×D512yes—
631C2×C3—42no—
632C2×C3#6615814yescomplemented
633C2×C3C2×D5×#4111yescharacteristic
634C2×C3C2×#415011yescharacteristic
635C2×C3C23×C22⋊D511yescharacteristic
636D3—28no—
637D3—202no—
638C5C2×#563111yescharacteristic, complemented, Sylow
639C22—22no—
640C22—22no—
641C22—22no—
642C22—38no—
643C22—44no—
644C22—616no—
645C22—64no—
646C22—64no—
647C22—302no—
648C22—302no—
649C22—302no—
650C22—604no—
651C22#9200412yes—
652C22#9201612yes—
653C22C2×D3×C22⋊D512yes—
654C22C23×D3×D511yescharacteristic
655C4—22no—
656C4—64no—
657C4—104no—
658C4—104no—
659C4—154no—
660C4—302no—
661C4—302no—
662C4C2×D3×C22⋊D514yes—
663C3C2×#6615811yescharacteristic, complemented, Sylow
664C2—42no—
665C2—68no—
666C2—602no—
667C2#1175435014yesdirect product factor
668C2C2×#9200411yescharacteristic
669C2C2×#9201611yescharacteristic
670C2C22×D3×C22⋊D511yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutator, cosocleC22×C3×C5C25
FrattiniC22C23×D3×D5
FittingC23×C3×C4×C5C22
socleC23×C3×C5C24
hypercenterC23×C4D3×D5
hypocenterC3×C5C2×#547
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
1. C22×C5×#235C2semidirect
2. C22×#6768C2semidirect
3. C2×C4×#1220C2semidirect
4. C2×C3×#4070C2semidirect
5. C2×#91558C2semidirect
6. C2×#91555C2semidirect
7. C2×#91435C2semidirect
8. #11754350C2direct (N × H)
9. C2×D3×#683C2semidirect
10. C2×#91385C2semidirect
11. C2×#91383C2semidirect
12. C2×#91351C2semidirect
19. C2×C5×#235C22semidirect
28. C2×#6768C22semidirect
30. C4×#1220C22semidirect
36. C3×#4070C22semidirect
38. #91558C22semidirect
39. #91555C22semidirect
45. #91435C22semidirect
46. D3×#683C22semidirect
47. #91385C22semidirect
48. #91383C22semidirect
49. #91351C22semidirect
61. C2×#4070D3semidirect
81. C2×C5×D12D4semidirect
111. C22×#235D5semidirect
150. #4070C2×D3semidirect
180. C2×Dic15#41semidirect
188. C5×D12C2×D4semidirect
206. C2×#235C2×D5semidirect
314. Dic15C2×#41semidirect
341. C2×D12C22⋊D5semidirect
442. C2×C3×C5#547semidirect
482. D12C2×C22⋊D5semidirect
559. C3×C5C2×#547semidirect
586. C2×C5#5631semidirect
632. C2×C3#66158semidirect
638. C5C2×#5631semidirect
663. C3C2×#66158semidirect
667. C2#11754350direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C5×#2352
C22×#67682
C2×C4×#12202
C2×C3×#40702
C2×#915582
C2×#915552
C2×#914352
#117543502
C2×D3×#6832
C2×#913852
C2×#913832
C2×#913512
C2×#661583
C2×#56315