Finite Group Databasebeta

← #14419284

Subgroups — #14419284

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#11754394C211yesmaximal, characteristic
2#11750826C211yesmaximal, characteristic, complemented
3C5×#4720C211yesmaximal, characteristic, complemented
4C3×#65017C211yesmaximal, characteristic, complemented
5#11748493C211yesmaximal, characteristic, complemented
6#11748327C211yesmaximal, characteristic, complemented
7#11748312C211yesmaximal, characteristic, complemented
8#11748043C211yesmaximal, characteristic, complemented
9#11747826C211yesmaximal, characteristic, complemented
10#11747706C211yesmaximal, characteristic, complemented
11#11747668C211yesmaximal, characteristic, complemented
12#11747659C211yesmaximal, characteristic, complemented
13#11747587C211yesmaximal, characteristic, complemented
14C8×D5×Dic3C211yesmaximal, characteristic, complemented
15#11747566C211yesmaximal, characteristic, complemented
16#10611097—31nomaximal, Hall
17C4×#1220C2211yescharacteristic
18C22×C3⋊#168C2211yescharacteristic
19C2×C8×D15C2211yescharacteristic
20C5×#926C2211yescharacteristic
21C3×C4×C22⋊D5C2211yescharacteristic
22C2×C3×#681C2211yescharacteristic
23C2×C3×C8×D5C2211yescharacteristic
24#91550C411yescharacteristic
25#91548C411yescharacteristic
26#91530C411yescharacteristic
27#91526C411yescharacteristic
28C4×#1204C2211yescharacteristic
29C4×#1202C2211yescharacteristic
30#91430C411yescharacteristic
31#91413C411yescharacteristic
32C4×D5×Dic3C2211yescharacteristic
33#91386C2211yescharacteristic
34#91337C411yescharacteristic
35#91336C411yescharacteristic
36C2×#6651C2211yescharacteristic
37C2×D5×C3⋊C8C2211yescharacteristic
38C3×C5×C22⋊C8C2211yescharacteristic
39#91104C2211yescharacteristic
40#91098C2211yescharacteristic
41C8×Dic15C2211yescharacteristic
42C5×#830C2211yescharacteristic
43C5×#815C2211yescharacteristic
44C5×Dic3⋊C8C2211yescharacteristic
45C5×Dic3⋊C8C2211yescharacteristic
46C5×C8×Dic3C2211yescharacteristic
47C3×#3952C2211yescharacteristic
48C3×#3947C2211yescharacteristic
49C3×#3946C2211yescharacteristic
50#90983C2211yescharacteristic
51#90982C2211yescharacteristic
52#90957C2211yescharacteristic
53#90955C2211yescharacteristic
54#90953C2211yescharacteristic
55#90953C2211yescharacteristic
56#90951C2211yescharacteristic
57Dic3×#168C2211yescharacteristic
58Dic3×#168C2211yescharacteristic
59Dic5×C3⋊C8C2211yescharacteristic
60#79454—51nomaximal, Hall
61#65862—31no—
62C5×#433—31no—
63#65286—31no—
64#65125—31no—
65#65123—31no—
66#65119—31no—
67#65117—31no—
68#65018—31no—
69#65017D311yescharacteristic, complemented
70#65014—31no—
71#65014—31no—
72#64997—31no—
73#64994—31no—
74#64979—31no—
75C4×C8×D5—31no—
76C22×C3×C4×C5C2311yescharacteristic
77C2×#1220C2×C411yescharacteristic
78C2×C4×D15C2311yescharacteristic
79C2×C3×C22⋊D5C2×C411yescharacteristic
80C2×C3×C4×D5C2311yescharacteristic
81C2×#1204C2×C411yescharacteristic
82C2×#1202C2×C411yescharacteristic
83C2×D5×Dic3C2×C411yescharacteristic
84C2×D5×Dic3C2×C411yescharacteristic
85C2×C3×C5×C8C2311yescharacteristic
86C2×C3×C5×C8C2311yescharacteristic
87#6719C2×C411yescharacteristic
88#6714C2×C411yescharacteristic
89#6712C2×C411yescharacteristic
90C4×Dic15C2311yescharacteristic
91C2×C3⋊#168—22no—
92C2×C3⋊#168C2311yescharacteristic
93C2×C3⋊#168C2311yescharacteristic
94C8×D15—22no—
95C5×#217C2×C411yescharacteristic
96C5×#217C2×C411yescharacteristic
97C5×C4⋊Dic3C2×C411yescharacteristic
98C5×C4⋊Dic3C2×C411yescharacteristic
99C4×C5×Dic3C2311yescharacteristic
100C4×C5×Dic3C2311yescharacteristic
101C2×C5×C3⋊C8C2311yescharacteristic
102C2×C5×C3⋊C8C2311yescharacteristic
103C3×C22⋊Dic5C2×C411yescharacteristic
104C3×#685C2×C411yescharacteristic
105C3×#683C2×C411yescharacteristic
106C3×C4×Dic5C2311yescharacteristic
107C3×#681—22no—
108C2×C3×#168C2311yescharacteristic
109C2×C3×#168C2311yescharacteristic
110C3×C8×D5—22no—
111Dic3⋊Dic5C2×C411yescharacteristic
112Dic3⋊Dic5C2×C411yescharacteristic
113#6669C2×C411yescharacteristic
114#6669C2×C411yescharacteristic
115#6669C2×C411yescharacteristic
116#6668C2×C411yescharacteristic
117#6667C2×C411yescharacteristic
118#6667C2×C411yescharacteristic
119#6667C2×C411yescharacteristic
120#6665C2×C411yescharacteristic
121Dic3×Dic5C2×C411yescharacteristic
122Dic3×Dic5C2×C411yescharacteristic
123#6651—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#4720D511yescharacteristic, complemented
137#4719—51no—
138#4708—51no—
139#4701—51no—
140C5×#117—31no—
141C4×C22⋊D5—31no—
142C4×C22⋊D5C2×D311yescharacteristic
143C2×#681C2×D311yescharacteristic
144C22×#168—31no—
145C2×#676—31no—
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×D20—31no—
158#4018—31no—
159C42×D5—31no—
160C4×Dic10—31no—
161C5×C4⋊C8—31no—
162C5×C4⋊C8—31no—
163C5×C22⋊C8—31no—
164C5×C22⋊C8C2×D311yescharacteristic
165C5×#97—31no—
166C4×C5×C8—31no—
167#3952—31no—
168#3952—31no—
169#3952—31no—
170#3952C2×D311yescharacteristic
171#3947C2×D311yescharacteristic
172#3946—31no—
173#3946—31no—
174#3946—31no—
175#3946C2×D311yescharacteristic
176C8×Dic5—31no—
177C8×Dic5—31no—
178C8×Dic5—31no—
179#3935—31no—
180#3935—31no—
181C4×#168—31no—
182C4×#168—31no—
183#2966—151noSylow
184C23×C3×C5C22×C411yescharacteristic
185C22×D15C22×C411yescharacteristic
186C22×C3×D5C22×C411yescharacteristic
187C2×C3×C4×C5—21no—
188C2×C3×C4×C5—21no—
189C2×C3×C4×C5C22×C411yescharacteristic
190C2×C3×C4×C5C2411yescharacteristic
191#1220—22no—
192C2×Dic15C22×C411yescharacteristic
193C2×Dic15C22×C411yescharacteristic
194C2×Dic15C22×C411yescharacteristic
195C4×D15—21no—
196C4×D15—21no—
197C2×C5×Dic3C22×C411yescharacteristic
198C2×C5×Dic3C22×C411yescharacteristic
199C2×C5×Dic3C22×C411yescharacteristic
200C2×C5×Dic3C22×C411yescharacteristic
201C3×C22⋊D5—22no—
202C2×C3×Dic5C22×C411yescharacteristic
203C2×C3×Dic5C22×C411yescharacteristic
204C2×C3×Dic5C22×C411yescharacteristic
205C3×C4×D5—21no—
206C3×C4×D5—21no—
207#1204—22no—
208#1202—22no—
209D5×Dic3—22no—
210D5×Dic3—22no—
211C3×C5×C8—21no—
212C3×C5×C8—21no—
213C3⋊#168—21no—
214C3⋊#168#4112yes—
215C3×#168—21no—
216C3×#168#4112yes—
217C5×C3⋊C8—21no—
218C5×C3⋊C8—21no—
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#926C2×D511yescharacteristic
227C2×C4×Dic3—51no—
228C22×C3⋊C8—51no—
229C22×C3⋊C8—51no—
230C2×ΓL(1,𝔽25)—51no—
231C2×D3×C8—51no—
232#898—51no—
233#889—51no—
234#886—51no—
235#885—51no—
236#879—51no—
237#878—51no—
238#872—51no—
239C4×Dic6—51no—
240C3×C4⋊C8—51no—
241C3×C22⋊C8—51no—
242C3×C22⋊C8C2×D511yescharacteristic
243C3×#97—51no—
244#830—51no—
245#830C2×D511yescharacteristic
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⋊C8C2×D511yescharacteristic
254Dic3⋊C8C2×D511yescharacteristic
255C8×Dic3—51no—
256C8×Dic3—51no—
257C8×Dic3—51no—
258C8×Dic3—51no—
259C8×Dic3C2×D511yescharacteristic
260C4⋊(C3⋊C8)—51no—
261C4×C3⋊C8—51no—
262C22×C4×C5C22×D311yescharacteristic
263C2×C22⋊D5—31no—
264C2×C22⋊D5C4×D311yescharacteristic
265C2×D20—31no—
266C2×C4×D5—31no—
267C2×C4×D5—31no—
268C2×C4×D5—31no—
269C2×C4×D5C22×D311yescharacteristic
270C2×Dic10—31no—
271C2×C5×C8—31no—
272C2×C5×C8—31no—
273C2×C5×C8C22×D311yescharacteristic
274C2×C5×C8C22×D311yescharacteristic
275C5×C4⋊C4—31no—
276C5×C4⋊C4—31no—
277C5×C22⋊C4—31no—
278C5×C22⋊C4—31no—
279C42×C5—31no—
280C42×C5—31no—
281C22⋊Dic5—31no—
282C22⋊Dic5C4×D311yescharacteristic
283#685—31no—
284#685—31no—
285#685—31no—
286#685—31no—
287#685—31no—
288#685C4×D311yescharacteristic
289C4⋊Dic5—31no—
290C4⋊Dic5—31no—
291#683—31no—
292#683—31no—
293#683—31no—
294#683—31no—
295#683—31no—
296#683C4×D311yescharacteristic
297C4×Dic5—31no—
298C4×Dic5—31no—
299C4×Dic5—31no—
300C4×Dic5C22×D311yescharacteristic
301#681—22no—
302C2×#168—31no—
303C2×#168—31no—
304C2×#168—62no—
305C2×#168C22×D311yescharacteristic
306C2×#168C22×D311yescharacteristic
307#676—62no—
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—31no—
321#433—151no—
322#432—151no—
323#405—151no—
324#405—151no—
325C2×C4×C8—151no—
326C22×C3×C5—21no—
327C22×C3×C5—21no—
328C22×C3×C5—21no—
329C22×C3×C5C23×C411yescharacteristic
330C2×D15—21no—
331C2×D15—21no—
332C2×D15—21no—
333C2×C3×D5—21no—
334C2×C3×D5—21no—
335C2×C3×D5#13112yes—
336C3×C4×C5—21no—
337C3×C4×C5C2×#4111yescharacteristic
338C3×C4×C5C2×#4111yescharacteristic
339Dic15—21no—
340Dic15—21no—
341Dic15#13112yes—
342C3×Dic5—21no—
343C3×Dic5—21no—
344C3×Dic5—21no—
345C5×Dic3—21no—
346C5×Dic3—21no—
347C5×Dic3—21no—
348C5×Dic3—21no—
349C2×C3×D4—51no—
350C22×C3×C4—51no—
351C22×C3×C4C22×D511yescharacteristic
352C2×#67—51no—
353C2×#67—51no—
354C22×Dic3—51no—
355C22×Dic3—51no—
356C2×C4×D3—51no—
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×C42—51no—
368#217—51no—
369#217—51no—
370#217C4×D511yescharacteristic
371#217C4×D511yescharacteristic
372(C2×D3)⋊C4—51no—
373(C2×D3)⋊C4—51no—
374(C2×D3)⋊C4—51no—
375(C2×D3)⋊C4—51no—
376C4⋊Dic3—51no—
377C4⋊Dic3C4×D511yescharacteristic
378C4⋊Dic3C4×D511yescharacteristic
379Dic3⋊C4—51no—
380Dic3⋊C4—51no—
381Dic3⋊C4—51no—
382Dic3⋊C4—51no—
383Dic3⋊C4—51no—
384Dic3⋊C4—51no—
385C4×Dic3—51no—
386C4×Dic3—51no—
387C4×Dic3—51no—
388C4×Dic3C22×D511yescharacteristic
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)—102no—
397D3×C8—102no—
398C23×C5C2×C4×D311yescharacteristic
399C22×D5—31no—
400C22×D5C2×C4×D311yescharacteristic
401C2×C4×C5—21no—
402C2×C4×C5—21no—
403C2×C4×C5—31no—
404C2×C4×C5—31no—
405C2×C4×C5—31no—
406C2×C4×C5—31no—
407C2×C4×C5C2×C4×D311yescharacteristic
408C2×C4×C5C23×D311yescharacteristic
409C22⋊D5—22no—
410C22⋊D5—62no—
411C2×Dic5—31no—
412C2×Dic5—31no—
413C2×Dic5—31no—
414C2×Dic5C2×C4×D311yescharacteristic
415C2×Dic5C2×C4×D311yescharacteristic
416C2×Dic5C2×C4×D311yescharacteristic
417D20—62no—
418C4×D5—21no—
419C4×D5—21no—
420C4×D5—62no—
421C4×D5—62no—
422C4×D5—61no—
423C4×D5—61no—
424Dic10—62no—
425C5×C8—21no—
426C5×C8—21no—
427C5×C8—61no—
428C5×C8—61no—
429#168—21no—
430#168—32no—
431#168—61no—
432#168#23712yes—
433C2×M16—51no—
434C2×M16—151no—
435C22×C8—51no—
436C22×C8—151no—
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—31no—
455C4⋊C8—31no—
456C4⋊C8—51no—
457C4⋊C8—151no—
458C4⋊C8—151no—
459C4⋊C8—151no—
460C22⋊C8—31no—
461C22⋊C8—51no—
462C22⋊C8—151no—
463C22⋊C8—151no—
464C22⋊C8—151no—
465C22⋊C8D3×D511yescharacteristic
466#97—31no—
467#97—51no—
468#97—151no—
469#97—151no—
470C4×C8—31no—
471C4×C8—151no—
472C4×C8—151no—
473C4×C8—151no—
474C4×C8—151no—
475C4×C8—151no—
476C2×C3×C5—41no—
477C2×C3×C5C4×#4111yescharacteristic
478C2×C3×C5C2×#13111yescharacteristic
479C2×C3×C5C2×#13111yescharacteristic
480D15—41no—
481C3×D5—22no—
482C23×C3—51no—
483C23×C3C2×C4×D511yescharacteristic
484C22×D3—51no—
485C3×D4—102no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—51no—
489C2×C3×C4—51no—
490C2×C3×C4—51no—
491C2×C3×C4—101no—
492C2×C3×C4—101no—
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—102no—
501C2×Dic3—102no—
502C2×Dic3C2×C4×D511yescharacteristic
503C2×Dic3C2×C4×D511yescharacteristic
504C2×Dic3C2×C4×D511yescharacteristic
505C2×Dic3C2×C4×D511yescharacteristic
506C4×D3—101no—
507C4×D3—101no—
508Dic6—102no—
509C3×C8—21no—
510C3×C8—21no—
511C3×C8—52no—
512C3×C8—101no—
513C3⋊C8—21no—
514C3⋊C8—21no—
515C3⋊C8—52no—
516C3⋊C8—101no—
517C22×C5—21no—
518C22×C5—21no—
519C22×C5—21no—
520C22×C5C22×C4×D311yescharacteristic
521C2×D5—21no—
522C2×D5—21no—
523C2×D5—61no—
524C2×D5—61no—
525C2×D5—61no—
526C2×D5#90712yes—
527C4×C5—21no—
528C4×C5—61no—
529C4×C5—61no—
530C4×C5—61no—
531C4×C5—61no—
532C4×C5C2×#23711yescharacteristic
533C4×C5D3×#4111yescharacteristic
534Dic5—21no—
535Dic5—21no—
536Dic5—21no—
537Dic5—32no—
538Dic5—61no—
539Dic5—61no—
540C2×Q8—151no—
541C2×D4—51no—
542C2×D4—151no—
543C2×D4—151no—
544C22×C4—51no—
545C22×C4—151no—
546C22×C4—151no—
547C22×C4—151no—
548C22×C4C2×D3×D511yescharacteristic
549M16—102no—
550M16—302no—
551C2×C8—31no—
552C2×C8—31no—
553C2×C8—51no—
554C2×C8—51no—
555C2×C8—102no—
556C2×C8—151no—
557C2×C8—151no—
558C2×C8—302no—
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—31no—
585C42—51no—
586C42—151no—
587C42—151no—
588C42—151no—
589C3×C5#296611yescharacteristic, complemented, Hall
590C22×C3—21no—
591C22×C3—21no—
592C22×C3—21no—
593C22×C3—52no—
594C22×C3—101no—
595C22×C3—101no—
596C22×C3C22×C4×D511yescharacteristic
597C2×D3—101no—
598C2×D3—101no—
599C2×D3—101no—
600C3×C4—21no—
601C3×C4—101no—
602C3×C4—101no—
603C3×C4—101no—
604C3×C4D5×#4111yescharacteristic
605C3×C4D5×#4111yescharacteristic
606Dic3—21no—
607Dic3—21no—
608Dic3—21no—
609Dic3—21no—
610Dic3—52no—
611Dic3—101no—
612Dic3—101no—
613C2×C5—41no—
614C2×C5C4×#23711yescharacteristic
615C2×C5C2×#90711yescharacteristic
616C2×C5D3×#13111yescharacteristic
617D5—22no—
618D5—121no—
619C23—51no—
620C23—151no—
621C23C4×D3×D511yescharacteristic
622Q8—302no—
623D4—102no—
624D4—302no—
625D4—302no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—31no—
629C2×C4—31no—
630C2×C4—31no—
631C2×C4—31no—
632C2×C4—51no—
633C2×C4—51no—
634C2×C4—51no—
635C2×C4—101no—
636C2×C4—101no—
637C2×C4—151no—
638C2×C4—151no—
639C2×C4—151no—
640C2×C4—302no—
641C2×C4—302no—
642C2×C4—301no—
643C2×C4—301no—
644C2×C4C4×D3×D511yescharacteristic
645C2×C4C22×D3×D511yescharacteristic
646C8—21no—
647C8—21no—
648C8—52no—
649C8—61no—
650C8—61no—
651C8—101no—
652C8—152no—
653C8—301no—
654C2×C3—41no—
655C2×C3—102no—
656C2×C3#6585611yescharacteristic
657C2×C3D5×#13111yescharacteristic
658C2×C3D5×#13111yescharacteristic
659D3—201no—
660C5#7945411yescharacteristic, complemented, Sylow
661C22—21no—
662C22—21no—
663C22—21no—
664C22—52no—
665C22—101no—
666C22—101no—
667C22—301no—
668C22—301no—
669C22—301no—
670C22C2×C4×D3×D511yescharacteristic
671C4—21no—
672C4—61no—
673C4—61no—
674C4—61no—
675C4—61no—
676C4—101no—
677C4—101no—
678C4—101no—
679C4—152no—
680C4—301no—
681C4—301no—
682C4D5×#23711yescharacteristic
683C4#9202411yescharacteristic
684C3#1061109711yescharacteristic, complemented, Sylow
685C2—41no—
686C2—102no—
687C2—601no—
688C2#1175281811yescharacteristic
689C2#1175395211yescharacteristic
690C2D5×#90711yescharacteristic
subgroupG/H
center, FrattiniC2×C4C22×D3×D5
commutator, socleC22×C3×C5C23×C4
FittingC3×C5×C22⋊C8C22
prime radical#91550C4
cosocleC2×C3×C4×C5C24
hypercenterC22⋊C8D3×D5
hypocenterC3×C5#2966
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C2×C4 ◁ C22⋊C8

Complements

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

NH ≅ G/Ntype
2. #11750826C2semidirect
3. C5×#4720C2semidirect
4. C3×#65017C2semidirect
5. #11748493C2semidirect
6. #11748327C2semidirect
7. #11748312C2semidirect
8. #11748043C2semidirect
9. #11747826C2semidirect
10. #11747706C2semidirect
11. #11747668C2semidirect
12. #11747659C2semidirect
13. #11747587C2semidirect
14. C8×D5×Dic3C2semidirect
15. #11747566C2semidirect
69. #65017D3semidirect
136. #4720D5semidirect
589. C3×C5#2966semidirect
660. C5#79454semidirect
684. C3#10611097semidirect

Maximal subgroups

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

subgroupindex
#117543942
#117508262
C5×#47202
C3×#650172
#117484932
#117483272
#117483122
#117480432
#117478262
#117477062
#117476682
#117476592
#117475872
C8×D5×Dic32
#117475662
#106110973
#794545