Finite Group Databasebeta

← #14419262

Subgroups — #14419262

Order 1920.

760 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11752563C211yesmaximal, characteristic
2#11750802C211yesmaximal, characteristic, complemented
3C5×#4708C211yesmaximal, characteristic, complemented
4C3×#64995C211yesmaximal, characteristic, complemented
5#11748050C211yesmaximal, characteristic, complemented
6#11747721C211yesmaximal, characteristic, complemented
7#11747701C211yesmaximal, characteristic, complemented
8#11747695C211yesmaximal, characteristic, complemented
9#11747695C211yesmaximal, characteristic, complemented
10#11747650C211yesmaximal, characteristic, complemented
11#11747587C211yesmaximal, characteristic, complemented
12C8×D5×Dic3C211yesmaximal, characteristic, complemented
13C3⋊C8×D20C211yesmaximal, characteristic, complemented
14#11746855C211yesmaximal, characteristic, complemented
15#11746854C211yesmaximal, characteristic, complemented
16#10610287—31nomaximal, Hall
17C4×Dic30C2211yescharacteristic
18C2×C5×ΓL(1,𝔽25)C2211yescharacteristic
19C2×C5×D3×C8C2211yescharacteristic
20C5×#872C2211yescharacteristic
21C2×C3×#676C2211yescharacteristic
22C2×C3×C8×D5C2211yescharacteristic
23C3×C4×D20C2211yescharacteristic
24#91462C411yescharacteristic
25C4×#1201C2211yescharacteristic
26C4×#1201C2211yescharacteristic
27#91431C411yescharacteristic
28#91414C411yescharacteristic
29#91408C411yescharacteristic
30#91407C411yescharacteristic
31C4×D5×Dic3C2211yescharacteristic
32#91362C411yescharacteristic
33#91357C2211yescharacteristic
34#91341C411yescharacteristic
35#91339C411yescharacteristic
36C2×D5×C3⋊C8C2211yescharacteristic
37C2×D5×C3⋊C8C2211yescharacteristic
38C3×C5×#97C2211yescharacteristic
39#91099C2211yescharacteristic
40#91098C2211yescharacteristic
41#91098C2211yescharacteristic
42C8×Dic15C2211yescharacteristic
43C4⋊(C3⋊#168)C2211yescharacteristic
44C5×#815C2211yescharacteristic
45C5×C8×Dic3C2211yescharacteristic
46C4×C5×C3⋊C8C2211yescharacteristic
47C3×#3952C2211yescharacteristic
48C3×#3952C2211yescharacteristic
49C3×C4⋊#168C2211yescharacteristic
50#90983C2211yescharacteristic
51#90983C2211yescharacteristic
52(C2×D3)⋊#168C2211yescharacteristic
53(C2×D3)⋊#168C2211yescharacteristic
54#90955C2211yescharacteristic
55#90955C2211yescharacteristic
56#90953C2211yescharacteristic
57#90951C2211yescharacteristic
58#90951C2211yescharacteristic
59Dic3×#168C2211yescharacteristic
60#79454—51nomaximal, Hall
61#65862—31no—
62C5×#405—31no—
63#65417—31no—
64#65416—31no—
65C8×C22⋊D5—31no—
66C8×C22⋊D5—31no—
67#65289—31no—
68#64998—31no—
69#64995D311yescharacteristic, complemented
70#64994—31no—
71#64990—31no—
72#64978—31no—
73C8×D20—31no—
74C4×C8×D5—31no—
75C8×Dic10—31no—
76C2×Dic30C2×C411yescharacteristic
77C2×C4×C5×D3C2311yescharacteristic
78C2×C3×D20C2×C411yescharacteristic
79C2×C3×C4×D5C2311yescharacteristic
80C2×C3×C4×D5C2311yescharacteristic
81C2×#1201C2×C411yescharacteristic
82C2×#1201C2×C411yescharacteristic
83C2×D5×Dic3C2×C411yescharacteristic
84C2×D5×Dic3C2×C411yescharacteristic
85C2×C3×C5×C8C2311yescharacteristic
86C2×C3×C5×C8C2311yescharacteristic
87C3×C42×C5C2311yescharacteristic
88C4⋊Dic15C2×C411yescharacteristic
89#6712C2×C411yescharacteristic
90#6712C2×C411yescharacteristic
91C4×Dic15C2311yescharacteristic
92C4×Dic15C2311yescharacteristic
93C2×C3⋊#168C2311yescharacteristic
94C2×C3⋊#168C2311yescharacteristic
95C5×(C2×D3)⋊C4C2×C411yescharacteristic
96C5×(C2×D3)⋊C4C2×C411yescharacteristic
97C5×Dic3⋊C4C2×C411yescharacteristic
98C5×Dic3⋊C4C2×C411yescharacteristic
99C4×C5×Dic3C2311yescharacteristic
100C2×C5×C3⋊C8C2311yescharacteristic
101C2×C5×C3⋊C8C2311yescharacteristic
102C5×ΓL(1,𝔽25)—22no—
103C5×D3×C8—22no—
104C3×#685C2×C411yescharacteristic
105C3×#685C2×C411yescharacteristic
106C3×C4⋊Dic5C2×C411yescharacteristic
107C2×C3×#168C2311yescharacteristic
108C2×C3×#168C2311yescharacteristic
109C3×#676—22no—
110C3×C8×D5—22no—
111#6669C2×C411yescharacteristic
112#6669C2×C411yescharacteristic
113#6668C2×C411yescharacteristic
114#6668C2×C411yescharacteristic
115(C2×D3)⋊Dic5C2×C411yescharacteristic
116(C2×D3)⋊Dic5C2×C411yescharacteristic
117#6665C2×C411yescharacteristic
118#6665C2×C411yescharacteristic
119#6665C2×C411yescharacteristic
120#6665C2×C411yescharacteristic
121Dic3×Dic5C2×C411yescharacteristic
122Dic3×Dic5C2×C411yescharacteristic
123D5×C3⋊C8—22no—
124D5×C3⋊C8—22no—
125#5538—51no—
126C3×#435—51no—
127#5128—51no—
128#5122—51no—
129#5111—51no—
130C2×C8×Dic3—51no—
131D4×C3⋊C8—51no—
132#4840—51no—
133#4830—51no—
134#67⋊C8—51no—
135#67⋊C8—51no—
136#4720—51no—
137#4719—51no—
138#4708D511yescharacteristic, complemented
139#4701—51no—
140C2×C5×M16—31no—
141C22×C5×C8—31no—
142C5×#117—31no—
143C4×C22⋊D5—31no—
144C4×C22⋊D5—31no—
145C2×#676C2×D311yescharacteristic
146C2×C8×D5—31no—
147C2×C8×D5—31no—
148C2×C8×D5C2×D311yescharacteristic
149#4044—31no—
150#4042—31no—
151#4040—31no—
152#4035—31no—
153#4031—31no—
154#4030—31no—
155#4029—31no—
156#4025—31no—
157C4×D20C2×D311yescharacteristic
158#4018—31no—
159C42×D5—31no—
160C4×Dic10—31no—
161C5×#97—31no—
162C5×#97C2×D311yescharacteristic
163C4×C5×C8—31no—
164C4×C5×C8—31no—
165C22⋊#168—31no—
166C22⋊#168—31no—
167#3952—31no—
168#3952—31no—
169#3952C2×D311yescharacteristic
170#3952C2×D311yescharacteristic
171#3947—31no—
172#3946—31no—
173#3946—31no—
174#3946—31no—
175#3946—31no—
176C8×Dic5—31no—
177C8×Dic5—31no—
178C8×Dic5—31no—
179C4⋊#168—31no—
180C4⋊#168C2×D311yescharacteristic
181#3935—31no—
182C4×#168—31no—
183#2966—151noSylow
184C22×C5×D3C22×C411yescharacteristic
185C22×C3×D5C22×C411yescharacteristic
186C22×C3×D5C22×C411yescharacteristic
187C2×C3×C4×C5C22×C411yescharacteristic
188C2×C3×C4×C5C22×C411yescharacteristic
189C2×C3×C4×C5C2411yescharacteristic
190C2×Dic15C22×C411yescharacteristic
191C2×Dic15C22×C411yescharacteristic
192C2×Dic15C22×C411yescharacteristic
193C2×Dic15C22×C411yescharacteristic
194Dic30—22no—
195C2×C5×Dic3C22×C411yescharacteristic
196C2×C5×Dic3C22×C411yescharacteristic
197C2×C5×Dic3C22×C411yescharacteristic
198C4×C5×D3—21no—
199C4×C5×D3—21no—
200C2×C3×Dic5C22×C411yescharacteristic
201C2×C3×Dic5C22×C411yescharacteristic
202C3×D20—22no—
203C3×C4×D5—21no—
204C3×C4×D5—21no—
205C3×C4×D5—21no—
206C3×C4×D5—21no—
207#1201—22no—
208#1201—22no—
209D5×Dic3—22no—
210D5×Dic3—22no—
211C3×C5×C8—21no—
212C3×C5×C8#4112yes—
213C3⋊#168—21no—
214C3⋊#168—21no—
215C3×#168—21no—
216C3×#168—21no—
217C5×C3⋊C8—21no—
218C5×C3⋊C8#4112yes—
219C2×C3×M16—51no—
220C22×C3×C8—51no—
221C3×C4×D4—51no—
222#939—51no—
223#935—51no—
224C4×#67—51no—
225C4×#67—51no—
226#926—51no—
227C2×C4×Dic3—51no—
228C22×C3⋊C8—51no—
229C22×C3⋊C8—51no—
230C2×ΓL(1,𝔽25)C2×D511yescharacteristic
231C2×D3×C8C2×D511yescharacteristic
232#898—51no—
233#889—51no—
234#886—51no—
235#885—51no—
236#879—51no—
237#878—51no—
238#872C2×D511yescharacteristic
239C4×Dic6—51no—
240C3×C4⋊C8—51no—
241C3×C22⋊C8—51no—
242C3×C22⋊C8—51no—
243C3×#97C2×D511yescharacteristic
244#830—51no—
245#830—51no—
246(C2×D3)⋊C8—51no—
247(C2×D3)⋊C8—51no—
248#815—51no—
249#815—51no—
250#815C2×D511yescharacteristic
251Dic3⋊C8—51no—
252Dic3⋊C8—51no—
253Dic3⋊C8—51no—
254Dic3⋊C8—51no—
255C8×Dic3—51no—
256C8×Dic3—51no—
257C8×Dic3—51no—
258C8×Dic3—51no—
259C8×Dic3C2×D511yescharacteristic
260C4⋊(C3⋊C8)—51no—
261C4×C3⋊C8C2×D511yescharacteristic
262C22×C4×C5—31no—
263C2×C22⋊D5—31no—
264C2×C22⋊D5—31no—
265C2×D20C4×D311yescharacteristic
266C2×C4×D5—31no—
267C2×C4×D5—31no—
268C2×C4×D5C22×D311yescharacteristic
269C2×C4×D5C22×D311yescharacteristic
270C2×Dic10—31no—
271C5×M16—62no—
272C2×C5×C8—31no—
273C2×C5×C8—31no—
274C2×C5×C8—62no—
275C2×C5×C8C22×D311yescharacteristic
276C2×C5×C8C22×D311yescharacteristic
277C5×C4⋊C4—31no—
278C5×C4⋊C4—31no—
279C5×C22⋊C4—31no—
280C5×C22⋊C4—31no—
281C42×C5—31no—
282C42×C5C22×D311yescharacteristic
283C22⋊Dic5—31no—
284C22⋊Dic5—31no—
285#685—31no—
286#685—31no—
287#685—31no—
288#685—31no—
289#685C4×D311yescharacteristic
290#685C4×D311yescharacteristic
291C4⋊Dic5—31no—
292C4⋊Dic5C4×D311yescharacteristic
293#683—31no—
294#683—31no—
295#683—31no—
296#683—31no—
297#683—31no—
298#683—31no—
299C4×Dic5—31no—
300C4×Dic5—31no—
301C4×Dic5—31no—
302C4×Dic5—31no—
303C2×#168—31no—
304C2×#168—31no—
305C2×#168C22×D311yescharacteristic
306C2×#168C22×D311yescharacteristic
307#676—22no—
308C8×D5—22no—
309C8×D5—62no—
310C8×D5—62no—
311#529—151no—
312#446—151no—
313C8×Q8—151no—
314#436—151no—
315#435—51no—
316#435—151no—
317C8×D4—151no—
318C8×D4—151no—
319C8×D4—151no—
320#433—151no—
321#433—151no—
322#432—151no—
323#405—31no—
324#405—151no—
325C2×C4×C8—151no—
326C22×C3×C5C23×C411yescharacteristic
327C2×C5×D3—21no—
328C2×C5×D3—21no—
329C2×C5×D3—21no—
330C2×C3×D5—21no—
331C2×C3×D5—21no—
332C2×C3×D5—21no—
333C2×C3×D5—21no—
334C2×C3×D5—21no—
335C2×C3×D5#13112yes—
336C3×C4×C5—21no—
337C3×C4×C5—21no—
338C3×C4×C5C2×#4111yescharacteristic
339C3×C4×C5C2×#4111yescharacteristic
340Dic15—21no—
341Dic15—21no—
342Dic15—21no—
343Dic15#13112yes—
344C3×Dic5—21no—
345C3×Dic5—21no—
346C5×Dic3—21no—
347C5×Dic3—21no—
348C5×Dic3—21no—
349C2×C3×D4—51no—
350C22×C3×C4—51no—
351C22×C3×C4—51no—
352C2×#67—51no—
353C2×#67—51no—
354C22×Dic3—51no—
355C22×Dic3—51no—
356C2×C4×D3C22×D511yescharacteristic
357C2×Dic6—51no—
358C3×M16—102no—
359C2×C3×C8—51no—
360C2×C3×C8—51no—
361C2×C3×C8—102no—
362C2×C3×C8C22×D511yescharacteristic
363C2×C3×C8C22×D511yescharacteristic
364C3×C4⋊C4—51no—
365C3×C22⋊C4—51no—
366C3×C22⋊C4—51no—
367C3×C42C22×D511yescharacteristic
368#217—51no—
369#217—51no—
370#217—51no—
371#217—51no—
372(C2×D3)⋊C4—51no—
373(C2×D3)⋊C4—51no—
374(C2×D3)⋊C4C4×D511yescharacteristic
375(C2×D3)⋊C4C4×D511yescharacteristic
376C4⋊Dic3—51no—
377C4⋊Dic3—51no—
378C4⋊Dic3—51no—
379Dic3⋊C4—51no—
380Dic3⋊C4—51no—
381Dic3⋊C4—51no—
382Dic3⋊C4—51no—
383Dic3⋊C4C4×D511yescharacteristic
384Dic3⋊C4C4×D511yescharacteristic
385C4×Dic3—51no—
386C4×Dic3—51no—
387C4×Dic3—51no—
388C4×Dic3—51no—
389C4×Dic3C22×D511yescharacteristic
390C2×C3⋊C8—51no—
391C2×C3⋊C8—51no—
392C2×C3⋊C8—102no—
393C2×C3⋊C8—102no—
394C2×C3⋊C8C22×D511yescharacteristic
395C2×C3⋊C8C22×D511yescharacteristic
396ΓL(1,𝔽25)—22no—
397D3×C8—22no—
398C23×C5—31no—
399C22×D5C2×C4×D311yescharacteristic
400C22×D5C2×C4×D311yescharacteristic
401C2×C4×C5—31no—
402C2×C4×C5—31no—
403C2×C4×C5—31no—
404C2×C4×C5—61no—
405C2×C4×C5—61no—
406C2×C4×C5C2×C4×D311yescharacteristic
407C2×C4×C5C2×C4×D311yescharacteristic
408C2×C4×C5C23×D311yescharacteristic
409C22⋊D5—62no—
410C22⋊D5—62no—
411C2×Dic5—31no—
412C2×Dic5—31no—
413C2×Dic5—31no—
414C2×Dic5—31no—
415C2×Dic5C2×C4×D311yescharacteristic
416C2×Dic5C2×C4×D311yescharacteristic
417D20—22no—
418C4×D5—21no—
419C4×D5—21no—
420C4×D5—21no—
421C4×D5—21no—
422C4×D5—62no—
423C4×D5—62no—
424Dic10—62no—
425C5×C8—21no—
426C5×C8—32no—
427C5×C8—61no—
428C5×C8#23712yes—
429#168—21no—
430#168—21no—
431#168—61no—
432#168—61no—
433C2×M16—31no—
434C2×M16—51no—
435C22×C8—31no—
436C22×C8—51no—
437C22×C8—151no—
438C22×C8—151no—
439#126—151no—
440#126—151no—
441#125—151no—
442#124—151no—
443#123—151no—
444#123—151no—
445C22⋊Q8—151no—
446#121—151no—
447C4×Q8—151no—
448C4×D4—51no—
449C4×D4—151no—
450C4×D4—151no—
451#117—31no—
452#117—151no—
453C2×C42—151no—
454C4⋊C8—51no—
455C4⋊C8—151no—
456C4⋊C8—151no—
457C4⋊C8—151no—
458C4⋊C8—151no—
459C4⋊C8—151no—
460C22⋊C8—51no—
461C22⋊C8—51no—
462C22⋊C8—151no—
463C22⋊C8—151no—
464C22⋊C8—151no—
465C22⋊C8—151no—
466#97—31no—
467#97—151no—
468#97—151no—
469#97D3×D511yescharacteristic
470C4×C8—31no—
471C4×C8—31no—
472C4×C8—151no—
473C4×C8—151no—
474C4×C8—151no—
475C4×C8—151no—
476C2×C3×C5C4×#4111yescharacteristic
477C2×C3×C5C2×#13111yescharacteristic
478C2×C3×C5C2×#13111yescharacteristic
479C3×D5—22no—
480C3×D5—41no—
481C5×D3—41no—
482C23×C3—51no—
483C23×C3—51no—
484C22×D3C2×C4×D511yescharacteristic
485C3×D4—102no—
486C2×C3×C4—51no—
487C2×C3×C4—51no—
488C2×C3×C4—101no—
489C2×C3×C4—101no—
490C2×C3×C4—101no—
491C2×C3×C4—101no—
492C2×C3×C4C2×C4×D511yescharacteristic
493C2×C3×C4C2×C4×D511yescharacteristic
494C2×C3×C4C23×D511yescharacteristic
495#67—102no—
496#67—102no—
497C2×Dic3—51no—
498C2×Dic3—51no—
499C2×Dic3—51no—
500C2×Dic3—51no—
501C2×Dic3—102no—
502C2×Dic3—102no—
503C2×Dic3C2×C4×D511yescharacteristic
504C2×Dic3C2×C4×D511yescharacteristic
505C2×Dic3C2×C4×D511yescharacteristic
506C4×D3—21no—
507C4×D3—21no—
508Dic6—102no—
509C3×C8—21no—
510C3×C8—101no—
511C3×C8—101no—
512C3×C8#70912yes—
513C3⋊C8—21no—
514C3⋊C8—101no—
515C3⋊C8—101no—
516C3⋊C8#70912yes—
517C22×C5—61no—
518C22×C5—61no—
519C22×C5—61no—
520C22×C5C22×C4×D311yescharacteristic
521C2×D5—21no—
522C2×D5—21no—
523C2×D5—21no—
524C2×D5—21no—
525C2×D5—21no—
526C2×D5#90712yes—
527C4×C5—21no—
528C4×C5—21no—
529C4×C5—61no—
530C4×C5—61no—
531C4×C5—61no—
532C4×C5C2×#23711yescharacteristic
533C4×C5D3×#4111yescharacteristic
534Dic5—21no—
535Dic5—21no—
536Dic5—32no—
537Dic5—61no—
538Dic5—61no—
539Dic5—61no—
540C2×Q8—151no—
541C2×D4—51no—
542C2×D4—151no—
543C2×D4—151no—
544C22×C4—31no—
545C22×C4—51no—
546C22×C4—51no—
547C22×C4—151no—
548C22×C4—151no—
549M16—62no—
550M16—102no—
551C2×C8—31no—
552C2×C8—31no—
553C2×C8—51no—
554C2×C8—51no—
555C2×C8—62no—
556C2×C8—102no—
557C2×C8—151no—
558C2×C8—151no—
559C2×C8—302no—
560C2×C8—302no—
561C2×C8C2×D3×D511yescharacteristic
562C2×C8C2×D3×D511yescharacteristic
563C4⋊C4—31no—
564C4⋊C4—31no—
565C4⋊C4—51no—
566C4⋊C4—151no—
567C4⋊C4—151no—
568C4⋊C4—151no—
569C4⋊C4—151no—
570C4⋊C4—151no—
571C4⋊C4—151no—
572C4⋊C4—151no—
573C22⋊C4—31no—
574C22⋊C4—31no—
575C22⋊C4—51no—
576C22⋊C4—51no—
577C22⋊C4—151no—
578C22⋊C4—151no—
579C22⋊C4—151no—
580C22⋊C4—151no—
581C22⋊C4—151no—
582C22⋊C4—151no—
583C42—31no—
584C42—151no—
585C42—151no—
586C42—151no—
587C42—151no—
588C42C2×D3×D511yescharacteristic
589C3×C5#296611yescharacteristic, complemented, Hall
590C22×C3—52no—
591C22×C3—101no—
592C22×C3—101no—
593C22×C3—101no—
594C22×C3—101no—
595C22×C3—101no—
596C22×C3C22×C4×D511yescharacteristic
597C2×D3—21no—
598C2×D3—21no—
599C2×D3—21no—
600C3×C4—21no—
601C3×C4—21no—
602C3×C4—101no—
603C3×C4—101no—
604C3×C4C2×#70911yescharacteristic
605C3×C4C2×#70911yescharacteristic
606Dic3—21no—
607Dic3—21no—
608Dic3—21no—
609Dic3—52no—
610Dic3—101no—
611Dic3—101no—
612Dic3—101no—
613C2×C5—121no—
614C2×C5C4×#23711yescharacteristic
615C2×C5C2×#90711yescharacteristic
616C2×C5D3×#13111yescharacteristic
617D5—22no—
618D5—41no—
619C23—31no—
620C23—51no—
621C23—51no—
622Q8—302no—
623D4—102no—
624D4—302no—
625D4—302no—
626C2×C4—31no—
627C2×C4—31no—
628C2×C4—31no—
629C2×C4—51no—
630C2×C4—51no—
631C2×C4—61no—
632C2×C4—61no—
633C2×C4—101no—
634C2×C4—101no—
635C2×C4—101no—
636C2×C4—101no—
637C2×C4—151no—
638C2×C4—151no—
639C2×C4—151no—
640C2×C4—151no—
641C2×C4—302no—
642C2×C4—302no—
643C2×C4C4×D3×D511yescharacteristic
644C2×C4C4×D3×D511yescharacteristic
645C2×C4C22×D3×D511yescharacteristic
646C8—21no—
647C8—32no—
648C8—61no—
649C8—101no—
650C8—101no—
651C8—301no—
652C8—301no—
653C8#676512yes—
654C2×C3—102no—
655C2×C3—201no—
656C2×C3C4×#70911yescharacteristic
657C2×C3D5×#13111yescharacteristic
658C2×C3D5×#13111yescharacteristic
659D3—41no—
660C5#7945411yescharacteristic, complemented, Sylow
661C22—52no—
662C22—61no—
663C22—61no—
664C22—61no—
665C22—101no—
666C22—101no—
667C22—101no—
668C22—101no—
669C22—101no—
670C22C2×C4×D3×D511yescharacteristic
671C4—21no—
672C4—21no—
673C4—61no—
674C4—61no—
675C4—61no—
676C4—101no—
677C4—101no—
678C4—152no—
679C4—301no—
680C4—301no—
681C4—301no—
682C4C2×#676511yescharacteristic
683C4D3×#70911yescharacteristic
684C3#1061028711yescharacteristic, complemented, Sylow
685C2—102no—
686C2—121no—
687C2—201no—
688C2C4×#676511yescharacteristic
689C2D5×#90711yescharacteristic
690C2#1175401711yescharacteristic
subgroupG/H
center, FrattiniC2×C4C22×D3×D5
commutator, socleC22×C3×C5C23×C4
FittingC3×C5×#97C22
prime radical#91408C4
cosocleC2×C3×C4×C5C24
hypercenter#97D3×D5
hypocenterC3×C5#2966
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C2×C4 ◁ #97

Complements

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

NH ≅ G/Ntype
2. #11750802C2semidirect
3. C5×#4708C2semidirect
4. C3×#64995C2semidirect
5. #11748050C2semidirect
6. #11747721C2semidirect
7. #11747701C2semidirect
8. #11747695C2semidirect
9. #11747695C2semidirect
10. #11747650C2semidirect
11. #11747587C2semidirect
12. C8×D5×Dic3C2semidirect
13. C3⋊C8×D20C2semidirect
14. #11746855C2semidirect
15. #11746854C2semidirect
69. #64995D3semidirect
138. #4708D5semidirect
589. C3×C5#2966semidirect
660. C5#79454semidirect
684. C3#10610287semidirect

Maximal subgroups

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

subgroupindex
#117525632
#117508022
C5×#47082
C3×#649952
#117480502
#117477212
#117477012
#117476952
#117476502
#117475872
C8×D5×Dic32
C3⋊C8×D202
#117468552
#117468542
#106102873
#794545