Finite Group Databasebeta

← #14419230

Subgroups — #14419230

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#11754430C211yesmaximal, characteristic
2#11750830C211yesmaximal, characteristic, complemented
3C5×#67⋊C8C211yesmaximal, characteristic, complemented
4C3×#65009C211yesmaximal, characteristic, complemented
5#11748496C211yesmaximal, characteristic, complemented
6#11748491C211yesmaximal, characteristic, complemented
7#11748318C211yesmaximal, characteristic, complemented
8#11748054C211yesmaximal, characteristic, complemented
9#11748049C211yesmaximal, characteristic, complemented
10#11747825C211yesmaximal, characteristic, complemented
11#11747700C211yesmaximal, characteristic, complemented
12#11747658C211yesmaximal, characteristic, complemented
13#11747598C211yesmaximal, characteristic, complemented
14D3×C8×Dic5C211yesmaximal, characteristic, complemented
15#11747565C211yesmaximal, characteristic, complemented
16#10611131—31nomaximal, Hall
17C4×#1220C2211yescharacteristic
18C2×#6710C2211yescharacteristic
19C2×#6705C2211yescharacteristic
20C4×C5×#67C2211yescharacteristic
21C22×C5×C3⋊C8C2211yescharacteristic
22C2×C5×D3×C8C2211yescharacteristic
23C3×#4072C2211yescharacteristic
24#91558C411yescharacteristic
25#91555C411yescharacteristic
26#91531C411yescharacteristic
27#91526C411yescharacteristic
28C4×#1204C2211yescharacteristic
29C4×#1203C2211yescharacteristic
30#91436C411yescharacteristic
31#91427C411yescharacteristic
32C4×D3×Dic5C2211yescharacteristic
33#91386C2211yescharacteristic
34#91345C411yescharacteristic
35#91339C411yescharacteristic
36C2×#6648C2211yescharacteristic
37C2×D3×#168C2211yescharacteristic
38C3×C5×C22⋊C8C2211yescharacteristic
39#91104C2211yescharacteristic
40#91098C2211yescharacteristic
41C8×Dic15C2211yescharacteristic
42C5×(C2×D3)⋊C8C2211yescharacteristic
43C5×Dic3⋊C8C2211yescharacteristic
44C5×C8×Dic3C2211yescharacteristic
45C3×C22⋊#168C2211yescharacteristic
46C3×#3947C2211yescharacteristic
47C3×#3946C2211yescharacteristic
48C3×#3946C2211yescharacteristic
49C3×C8×Dic5C2211yescharacteristic
50Dic3⋊#168C2211yescharacteristic
51#90983C2211yescharacteristic
52#90957C2211yescharacteristic
53(C2×D3)⋊#168C2211yescharacteristic
54#90953C2211yescharacteristic
55#90952C2211yescharacteristic
56#90952C2211yescharacteristic
57#90951C2211yescharacteristic
58Dic5×C3⋊C8C2211yescharacteristic
59Dic5×C3⋊C8C2211yescharacteristic
60#79366—51nomaximal, Hall
61#65872—31no—
62C5×C8×D4—31no—
63C8×C22⋊D5—31no—
64C8×C22⋊D5—31no—
65#65390—31no—
66C2×C8×Dic5—31no—
67#65300—31no—
68#65129—31no—
69#65117—31no—
70#65019—31no—
71#65018—31no—
72#65009D311yescharacteristic, complemented
73#65008—31no—
74#64978—31no—
75C8×Dic10—31no—
76C22×C3×C4×C5C2311yescharacteristic
77C2×#1220C2×C411yescharacteristic
78C2×C4×D15C2311yescharacteristic
79C2×C5×#67C2×C411yescharacteristic
80C2×C4×C5×D3C2311yescharacteristic
81C2×#1204C2×C411yescharacteristic
82C2×#1203C2×C411yescharacteristic
83C2×D3×Dic5C2×C411yescharacteristic
84C2×D3×Dic5C2×C411yescharacteristic
85C2×C3×C5×C8C2311yescharacteristic
86C2×C3×C5×C8C2311yescharacteristic
87#6719C2×C411yescharacteristic
88#6714C2×C411yescharacteristic
89#6712C2×C411yescharacteristic
90C4×Dic15C2311yescharacteristic
91#6710—22no—
92C2×C3⋊#168C2311yescharacteristic
93C2×C3⋊#168C2311yescharacteristic
94#6705—22no—
95C5×#217C2×C411yescharacteristic
96C5×(C2×D3)⋊C4C2×C411yescharacteristic
97C5×Dic3⋊C4C2×C411yescharacteristic
98C4×C5×Dic3C2311yescharacteristic
99C2×C5×C3⋊C8—22no—
100C2×C5×C3⋊C8C2311yescharacteristic
101C2×C5×C3⋊C8C2311yescharacteristic
102C5×D3×C8—22no—
103C3×C22⋊Dic5C2×C411yescharacteristic
104C3×C22⋊Dic5C2×C411yescharacteristic
105C3×C4⋊Dic5C2×C411yescharacteristic
106C3×C4⋊Dic5C2×C411yescharacteristic
107C3×C4×Dic5C2311yescharacteristic
108C3×C4×Dic5C2311yescharacteristic
109C2×C3×#168C2311yescharacteristic
110C2×C3×#168C2311yescharacteristic
111Dic3⋊Dic5C2×C411yescharacteristic
112#6669C2×C411yescharacteristic
113#6669C2×C411yescharacteristic
114#6669C2×C411yescharacteristic
115#6668C2×C411yescharacteristic
116#6668C2×C411yescharacteristic
117#6667C2×C411yescharacteristic
118#6667C2×C411yescharacteristic
119#6667C2×C411yescharacteristic
120(C2×D3)⋊Dic5C2×C411yescharacteristic
121Dic3×Dic5C2×C411yescharacteristic
122Dic3×Dic5C2×C411yescharacteristic
123#6648—22no—
124D3×#168—22no—
125#5528—51no—
126C3×#433—51no—
127#4997—51no—
128#4836—51no—
129#4834—51no—
130#4830—51no—
131#4828—51no—
132#4729—51no—
133#4728—51no—
134#67⋊C8—51no—
135#67⋊C8D511yescharacteristic, complemented
136#4708—51no—
137#4705—51no—
138#4690—51no—
139C4×D3×C8—51no—
140C22×C5×C8—31no—
141C22×C5×C8—31no—
142C4×C5×D4—31no—
143#4085—31no—
144#4081—31no—
145C4×C22⋊D5—31no—
146C4×C22⋊D5—31no—
147#4072C2×D311yescharacteristic
148C2×C4×Dic5—31no—
149C2×#681—31no—
150C22×#168—31no—
151C2×#676—31no—
152C2×C8×D5—31no—
153#4044—31no—
154#4035—31no—
155#4032—31no—
156#4031—31no—
157#4025—31no—
158#4024—31no—
159#4018—31no—
160C4×Dic10—31no—
161C5×C4⋊C8—31no—
162C5×C22⋊C8—31no—
163C5×C22⋊C8C2×D311yescharacteristic
164C4×C5×C8—31no—
165C22⋊#168—31no—
166C22⋊#168C2×D311yescharacteristic
167#3952—31no—
168#3952—31no—
169#3947—31no—
170#3947—31no—
171#3947C2×D311yescharacteristic
172#3946—31no—
173#3946—31no—
174#3946C2×D311yescharacteristic
175#3946C2×D311yescharacteristic
176C8×Dic5—31no—
177C8×Dic5—31no—
178C8×Dic5—31no—
179C8×Dic5—31no—
180C8×Dic5C2×D311yescharacteristic
181C4⋊#168—31no—
182#3935—31no—
183#2966—151noSylow
184C23×C3×C5C22×C411yescharacteristic
185C22×D15C22×C411yescharacteristic
186C22×C5×D3C22×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—
197C5×#67—22no—
198C2×C5×Dic3C22×C411yescharacteristic
199C2×C5×Dic3C22×C411yescharacteristic
200C2×C5×Dic3C22×C411yescharacteristic
201C4×C5×D3—21no—
202C4×C5×D3—21no—
203C2×C3×Dic5C22×C411yescharacteristic
204C2×C3×Dic5C22×C411yescharacteristic
205C2×C3×Dic5C22×C411yescharacteristic
206C2×C3×Dic5C22×C411yescharacteristic
207#1204—22no—
208#1203—22no—
209D3×Dic5—22no—
210D3×Dic5—22no—
211C3×C5×C8—21no—
212C3×C5×C8—21no—
213C3⋊#168—21no—
214C3⋊#168#4112yes—
215C3×#168—21no—
216C3×#168—21no—
217C5×C3⋊C8—21no—
218C5×C3⋊C8#4112yes—
219C3×#117—51no—
220C4×#67—51no—
221C4×#67C2×D511yescharacteristic
222C2×#208—51no—
223C22×C3⋊C8C2×D511yescharacteristic
224C2×ΓL(1,𝔽25)—51no—
225C2×D3×C8—51no—
226C2×D3×C8—51no—
227C2×D3×C8C2×D511yescharacteristic
228#898—51no—
229#896—51no—
230#894—51no—
231#889—51no—
232#885—51no—
233#884—51no—
234#883—51no—
235#879—51no—
236C4×D12—51no—
237#872—51no—
238C42×D3—51no—
239C4×Dic6—51no—
240C3×C4⋊C8—51no—
241C3×C4⋊C8—51no—
242C3×C22⋊C8—51no—
243C3×C22⋊C8C2×D511yescharacteristic
244C3×#97—51no—
245C3×C4×C8—51no—
246(C2×D3)⋊C8—51no—
247(C2×D3)⋊C8—51no—
248(C2×D3)⋊C8—51no—
249(C2×D3)⋊C8C2×D511yescharacteristic
250#815—51no—
251Dic3⋊C8—51no—
252Dic3⋊C8—51no—
253Dic3⋊C8—51no—
254Dic3⋊C8C2×D511yescharacteristic
255C8×Dic3—51no—
256C8×Dic3—51no—
257C8×Dic3C2×D511yescharacteristic
258#803—51no—
259#803—51no—
260C4×C3⋊C8—51no—
261C4×C3⋊C8—51no—
262C2×C5×D4—31no—
263C22×C4×C5—31no—
264C22×C4×C5C22×D311yescharacteristic
265C2×C22⋊D5—31no—
266C2×C22⋊D5—31no—
267C22×Dic5—31no—
268C22×Dic5—31no—
269C2×C4×D5—31no—
270C2×Dic10—31no—
271C2×C5×C8—31no—
272C2×C5×C8—31no—
273C2×C5×C8—62no—
274C2×C5×C8—62no—
275C2×C5×C8C22×D311yescharacteristic
276C2×C5×C8C22×D311yescharacteristic
277C5×C4⋊C4—31no—
278C5×C22⋊C4—31no—
279C5×C22⋊C4—31no—
280C42×C5—31no—
281C22⋊Dic5—31no—
282C22⋊Dic5—31no—
283C22⋊Dic5C4×D311yescharacteristic
284C22⋊Dic5C4×D311yescharacteristic
285#685—31no—
286#685—31no—
287#685—31no—
288#685—31no—
289C4⋊Dic5—31no—
290C4⋊Dic5C4×D311yescharacteristic
291C4⋊Dic5C4×D311yescharacteristic
292#683—31no—
293#683—31no—
294#683—31no—
295#683—31no—
296#683—31no—
297#683—31no—
298C4×Dic5—31no—
299C4×Dic5—31no—
300C4×Dic5—31no—
301C4×Dic5C22×D311yescharacteristic
302C4×Dic5C22×D311yescharacteristic
303#681—62no—
304C2×#168—31no—
305C2×#168—31no—
306C2×#168—62no—
307C2×#168C22×D311yescharacteristic
308C2×#168C22×D311yescharacteristic
309#676—62no—
310C8×D5—62no—
311#529—151no—
312#446—151no—
313C8×Q8—151no—
314#436—151no—
315#435—151no—
316#435—151no—
317C8×D4—31no—
318C8×D4—151no—
319C8×D4—151no—
320#433—51no—
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×C5×D3—21no—
334C2×C5×D3—21no—
335C2×C5×D3#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—
345C3×Dic5—21no—
346C5×Dic3—21no—
347C5×Dic3—21no—
348C5×Dic3—21no—
349C22×C3×C4C22×D511yescharacteristic
350C2×#67—51no—
351C2×#67C4×D511yescharacteristic
352C2×D12—51no—
353C2×C4×D3—51no—
354C2×C4×D3—51no—
355C2×C4×D3—51no—
356C2×C4×D3C22×D511yescharacteristic
357C2×Dic6—51no—
358C2×C3×C8—51no—
359C2×C3×C8—51no—
360C2×C3×C8C22×D511yescharacteristic
361C2×C3×C8C22×D511yescharacteristic
362C3×C4⋊C4—51no—
363C3×C4⋊C4—51no—
364C3×C22⋊C4—51no—
365C3×C22⋊C4—51no—
366C3×C42—51no—
367C3×C42—51no—
368#217—51no—
369#217C4×D511yescharacteristic
370(C2×D3)⋊C4—51no—
371(C2×D3)⋊C4—51no—
372(C2×D3)⋊C4—51no—
373(C2×D3)⋊C4—51no—
374(C2×D3)⋊C4—51no—
375(C2×D3)⋊C4C4×D511yescharacteristic
376C4⋊Dic3—51no—
377C4⋊Dic3—51no—
378Dic3⋊C4—51no—
379Dic3⋊C4—51no—
380Dic3⋊C4—51no—
381Dic3⋊C4—51no—
382Dic3⋊C4—51no—
383Dic3⋊C4C4×D511yescharacteristic
384C4×Dic3—51no—
385C4×Dic3—51no—
386C4×Dic3—51no—
387C4×Dic3C22×D511yescharacteristic
388#208—102no—
389C2×C3⋊C8—22no—
390C2×C3⋊C8—51no—
391C2×C3⋊C8—51no—
392C2×C3⋊C8C22×D511yescharacteristic
393C2×C3⋊C8C22×D511yescharacteristic
394ΓL(1,𝔽25)—102no—
395D3×C8—22no—
396D3×C8—102no—
397D3×C8—102no—
398C23×C5—31no—
399C23×C5C2×C4×D311yescharacteristic
400C22×D5—31no—
401C5×D4—62no—
402C2×C4×C5—21no—
403C2×C4×C5—21no—
404C2×C4×C5—31no—
405C2×C4×C5—31no—
406C2×C4×C5—31no—
407C2×C4×C5—61no—
408C2×C4×C5—61no—
409C2×C4×C5C2×C4×D311yescharacteristic
410C2×C4×C5C23×D311yescharacteristic
411C22⋊D5—62no—
412C22⋊D5—62no—
413C2×Dic5—31no—
414C2×Dic5—31no—
415C2×Dic5—31no—
416C2×Dic5—62no—
417C2×Dic5—62no—
418C2×Dic5C2×C4×D311yescharacteristic
419C2×Dic5C2×C4×D311yescharacteristic
420C2×Dic5C2×C4×D311yescharacteristic
421C2×Dic5C2×C4×D311yescharacteristic
422C4×D5—61no—
423C4×D5—61no—
424Dic10—62no—
425C5×C8—21no—
426C5×C8—21no—
427C5×C8—32no—
428C5×C8—61no—
429#168—21no—
430#168—21no—
431#168—32no—
432#168—61no—
433C2×M16—151no—
434C2×M16—151no—
435C22×C8—31no—
436C22×C8—31no—
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—31no—
449C4×D4—151no—
450C4×D4—151no—
451#117—51no—
452#117—151no—
453C2×C42—151no—
454C4⋊C8—31no—
455C4⋊C8—51no—
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—51no—
467#97—151no—
468#97—151no—
469#97—151no—
470C4×C8—31no—
471C4×C8—51no—
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—
481C5×D3—22no—
482C23×C3C2×C4×D511yescharacteristic
483C22×D3—51no—
484C22×D3C2×C4×D511yescharacteristic
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—51no—
488C2×C3×C4—51no—
489C2×C3×C4—51no—
490C2×C3×C4—51no—
491C2×C3×C4C2×C4×D511yescharacteristic
492C2×C3×C4C23×D511yescharacteristic
493#67—22no—
494#67—102no—
495C2×Dic3—51no—
496C2×Dic3—51no—
497C2×Dic3—51no—
498C2×Dic3C2×C4×D511yescharacteristic
499C2×Dic3C2×C4×D511yescharacteristic
500C2×Dic3C2×C4×D511yescharacteristic
501D12—102no—
502C4×D3—21no—
503C4×D3—21no—
504C4×D3—102no—
505C4×D3—102no—
506C4×D3—101no—
507C4×D3—101no—
508Dic6—102no—
509C3×C8—21no—
510C3×C8—21no—
511C3×C8—101no—
512C3×C8—101no—
513C3⋊C8—21no—
514C3⋊C8—52no—
515C3⋊C8—101no—
516C3⋊C8#71112yes—
517C22×C5—21no—
518C22×C5—21no—
519C22×C5—21no—
520C22×C5—32no—
521C22×C5—61no—
522C22×C5—61no—
523C22×C5C22×C4×D311yescharacteristic
524C2×D5—61no—
525C2×D5—61no—
526C2×D5—61no—
527C4×C5—21no—
528C4×C5—61no—
529C4×C5—61no—
530C4×C5—61no—
531C4×C5D3×#4111yescharacteristic
532C4×C5D3×#4111yescharacteristic
533Dic5—21no—
534Dic5—21no—
535Dic5—21no—
536Dic5—21no—
537Dic5—32no—
538Dic5—61no—
539Dic5—61no—
540C2×Q8—151no—
541C2×D4—31no—
542C2×D4—151no—
543C2×D4—151no—
544C22×C4—31no—
545C22×C4—151no—
546C22×C4—151no—
547C22×C4—151no—
548C22×C4C2×D3×D511yescharacteristic
549M16—302no—
550M16—302no—
551C2×C8—31no—
552C2×C8—31no—
553C2×C8—51no—
554C2×C8—51no—
555C2×C8—62no—
556C2×C8—62no—
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—51no—
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—51no—
585C42—51no—
586C42—151no—
587C42—151no—
588C42—151no—
589C3×C5#296611yescharacteristic, complemented, Hall
590C22×C3—21no—
591C22×C3—21no—
592C22×C3—21no—
593C22×C3C22×C4×D511yescharacteristic
594C2×D3—21no—
595C2×D3—21no—
596C2×D3—101no—
597C2×D3—101no—
598C2×D3—101no—
599C2×D3#404712yes—
600C3×C4—21no—
601C3×C4—101no—
602C3×C4—101no—
603C3×C4—101no—
604C3×C4—101no—
605C3×C4C2×#71111yescharacteristic
606C3×C4D5×#4111yescharacteristic
607Dic3—21no—
608Dic3—21no—
609Dic3—21no—
610Dic3—52no—
611Dic3—101no—
612Dic3—101no—
613C2×C5—41no—
614C2×C5—62no—
615C2×C5#552211yescharacteristic
616C2×C5D3×#13111yescharacteristic
617C2×C5D3×#13111yescharacteristic
618D5—121no—
619C23—31no—
620C23—151no—
621C23C4×D3×D511yescharacteristic
622Q8—302no—
623D4—62no—
624D4—302no—
625D4—302no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—31no—
629C2×C4—31no—
630C2×C4—31no—
631C2×C4—51no—
632C2×C4—51no—
633C2×C4—51no—
634C2×C4—51no—
635C2×C4—61no—
636C2×C4—61no—
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—32no—
649C8—61no—
650C8—101no—
651C8—101no—
652C8—152no—
653C8—301no—
654C2×C3—41no—
655C2×C3C4×#71111yescharacteristic
656C2×C3C2×#404711yescharacteristic
657C2×C3D5×#13111yescharacteristic
658D3—22no—
659D3—201no—
660C5#7936611yescharacteristic, complemented, Sylow
661C22—21no—
662C22—21no—
663C22—21no—
664C22—32no—
665C22—61no—
666C22—61no—
667C22—301no—
668C22—301no—
669C22—301no—
670C22C2×C4×D3×D511yescharacteristic
671C4—21no—
672C4—61no—
673C4—61no—
674C4—61no—
675C4—101no—
676C4—101no—
677C4—101no—
678C4—101no—
679C4—152no—
680C4—301no—
681C4—301no—
682C4D3×#71111yescharacteristic
683C4#9202411yescharacteristic
684C3#1061113111yescharacteristic, complemented, Sylow
685C2—41no—
686C2—62no—
687C2—601no—
688C2#1175282311yescharacteristic
689C2D3×#404711yescharacteristic
690C2#1175401711yescharacteristic
subgroupG/H
center, FrattiniC2×C4C22×D3×D5
commutator, socleC22×C3×C5C23×C4
FittingC3×C5×C22⋊C8C22
prime radical#91558C4
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. #11750830C2semidirect
3. C5×#67⋊C8C2semidirect
4. C3×#65009C2semidirect
5. #11748496C2semidirect
6. #11748491C2semidirect
7. #11748318C2semidirect
8. #11748054C2semidirect
9. #11748049C2semidirect
10. #11747825C2semidirect
11. #11747700C2semidirect
12. #11747658C2semidirect
13. #11747598C2semidirect
14. D3×C8×Dic5C2semidirect
15. #11747565C2semidirect
72. #65009D3semidirect
135. #67⋊C8D5semidirect
589. C3×C5#2966semidirect
660. C5#79366semidirect
684. C3#10611131semidirect

Maximal subgroups

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

subgroupindex
#117544302
#117508302
C5×#67⋊C82
C3×#650092
#117484962
#117484912
#117483182
#117480542
#117480492
#117478252
#117477002
#117476582
#117475982
D3×C8×Dic52
#117475652
#106111313
#793665