Finite Group Databasebeta

← #14419174

Subgroups — #14419174

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#11756297C211yesmaximal, characteristic
2C5×D4×C3⋊C8C211yesmaximal, characteristic, complemented
3C3×#65300C211yesmaximal, characteristic, complemented
4#11748502C211yesmaximal, characteristic, complemented
5#11748491C211yesmaximal, characteristic, complemented
6#11748491C211yesmaximal, characteristic, complemented
7#11748338C211yesmaximal, characteristic, complemented
8#11748332C211yesmaximal, characteristic, complemented
9#11748326C211yesmaximal, characteristic, complemented
10C2×#90951C211yesmaximal, characteristic, complemented
11#11748312C211yesmaximal, characteristic, complemented
12#11746982C211yesmaximal, characteristic, complemented
13#11746860C211yesmaximal, characteristic, complemented
14#11746855C211yesmaximal, characteristic, complemented
15#11746852C211yesmaximal, characteristic, complemented
16#10611131—31nomaximal, Hall
17C3×C4×C5×D4C2211yescharacteristic
18#91828C411yescharacteristic
19#91824C411yescharacteristic
20C4×#1220C2211yescharacteristic
21C4×#1220C2211yescharacteristic
22#91815C2211yescharacteristic
23C2×C4×Dic15C2211yescharacteristic
24#91787C411yescharacteristic
25#91778C411yescharacteristic
26#91775C411yescharacteristic
27#91774C411yescharacteristic
28#91768C411yescharacteristic
29#91767C411yescharacteristic
30#91761C2211yescharacteristic
31C4×Dic30C2211yescharacteristic
32C22×C5×C3⋊C8C2211yescharacteristic
33C22×C5×C3⋊C8C2211yescharacteristic
34C2×C3×#681C2211yescharacteristic
35C22×C3×#168C2211yescharacteristic
36C2×#6651C2211yescharacteristic
37C2×#6648C2211yescharacteristic
38C5×#830C2211yescharacteristic
39C5×#830C2211yescharacteristic
40C5×C4⋊(C3⋊C8)C2211yescharacteristic
41C4×C5×C3⋊C8C2211yescharacteristic
42C3×C22⋊#168C2211yescharacteristic
43C3×C22⋊#168C2211yescharacteristic
44C3×C4⋊#168C2211yescharacteristic
45C3×#3935C2211yescharacteristic
46#90983C2211yescharacteristic
47#90983C2211yescharacteristic
48#90983C2211yescharacteristic
49#90983C2211yescharacteristic
50#90957C2211yescharacteristic
51#90957C2211yescharacteristic
52#90954C2211yescharacteristic
53#90954C2211yescharacteristic
54#90954C2211yescharacteristic
55#90951C2211yescharacteristic
56#90951C2211yescharacteristic
57#90951C2211yescharacteristic
58#90951C2211yescharacteristic
59#90951C2211yescharacteristic
60#79454—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#65300D311yescharacteristic, complemented
68#65129—31no—
69#65117—31no—
70#65019—31no—
71#65018—31no—
72#65009—31no—
73#65008—31no—
74#64978—31no—
75C8×Dic10—31no—
76C2×C3×C5×D4C2×C411yescharacteristic
77C22×C3×C4×C5C2311yescharacteristic
78C22×C3×C4×C5C2311yescharacteristic
79C2×#1220C2×C411yescharacteristic
80C2×#1220C2×C411yescharacteristic
81C22×Dic15C2×C411yescharacteristic
82C22×Dic15C2×C411yescharacteristic
83C2×C4×D15C2311yescharacteristic
84C2×Dic30C2×C411yescharacteristic
85C3×C5×C4⋊C4C2×C411yescharacteristic
86C3×C5×C22⋊C4C2×C411yescharacteristic
87C3×C5×C22⋊C4C2×C411yescharacteristic
88C3×C42×C5C2311yescharacteristic
89#6719C2×C411yescharacteristic
90#6719C2×C411yescharacteristic
91#6719C2×C411yescharacteristic
92#6719C2×C411yescharacteristic
93#6714C2×C411yescharacteristic
94#6714C2×C411yescharacteristic
95#6714C2×C411yescharacteristic
96#6714C2×C411yescharacteristic
97C4⋊Dic15C2×C411yescharacteristic
98C4⋊Dic15C2×C411yescharacteristic
99C4⋊Dic15C2×C411yescharacteristic
100#6712C2×C411yescharacteristic
101#6712C2×C411yescharacteristic
102#6712C2×C411yescharacteristic
103#6712C2×C411yescharacteristic
104#6712C2×C411yescharacteristic
105#6712C2×C411yescharacteristic
106C4×Dic15C2×C411yescharacteristic
107C4×Dic15C2×C411yescharacteristic
108C4×Dic15C2311yescharacteristic
109C4×Dic15C2311yescharacteristic
110C4×Dic15C2311yescharacteristic
111C2×C5×C3⋊C8—22no—
112C2×C5×C3⋊C8—22no—
113C2×C5×C3⋊C8C2311yescharacteristic
114C2×C5×C3⋊C8C2311yescharacteristic
115C2×C5×C3⋊C8C2311yescharacteristic
116C2×C5×C3⋊C8C2311yescharacteristic
117C3×#681—22no—
118C2×C3×#168—22no—
119C2×C3×#168C2311yescharacteristic
120C2×C3×#168C2311yescharacteristic
121C2×C3×#168C2311yescharacteristic
122C2×C3×#168C2311yescharacteristic
123#6651—22no—
124#6648—22no—
125#5538—51no—
126C3×#435—51no—
127#5128—51no—
128#5122—51no—
129#5111—51no—
130C2×C8×Dic3—51no—
131D4×C3⋊C8D511yescharacteristic, complemented
132#4840—51no—
133#4830—51no—
134#67⋊C8—51no—
135#67⋊C8—51no—
136#4720—51no—
137#4719—51no—
138#4708—51no—
139#4701—51no—
140C22×C5×C8—31no—
141C22×C5×C8—31no—
142C4×C5×D4C2×D311yescharacteristic
143#4085—31no—
144#4081—31no—
145C4×C22⋊D5—31no—
146C4×C22⋊D5—31no—
147#4072—31no—
148C2×C4×Dic5—31no—
149C2×#681C2×D311yescharacteristic
150C22×#168C2×D311yescharacteristic
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⋊C8—31no—
164C4×C5×C8—31no—
165C22⋊#168C2×D311yescharacteristic
166C22⋊#168C2×D311yescharacteristic
167#3952—31no—
168#3952—31no—
169#3947—31no—
170#3947—31no—
171#3947—31no—
172#3946—31no—
173#3946—31no—
174#3946—31no—
175#3946—31no—
176C8×Dic5—31no—
177C8×Dic5—31no—
178C8×Dic5—31no—
179C8×Dic5—31no—
180C8×Dic5—31no—
181C4⋊#168C2×D311yescharacteristic
182#3935C2×D311yescharacteristic
183#2966—151noSylow
184C23×C3×C5C22×C411yescharacteristic
185C23×C3×C5C22×C411yescharacteristic
186C22×D15C22×C411yescharacteristic
187C3×C5×D4—22no—
188C2×C3×C4×C5—21no—
189C2×C3×C4×C5—21no—
190C2×C3×C4×C5—21no—
191C2×C3×C4×C5—21no—
192C2×C3×C4×C5C22×C411yescharacteristic
193C2×C3×C4×C5C22×C411yescharacteristic
194C2×C3×C4×C5C22×C411yescharacteristic
195C2×C3×C4×C5C22×C411yescharacteristic
196C2×C3×C4×C5C2411yescharacteristic
197#1220—22no—
198#1220—22no—
199C2×Dic15—22no—
200C2×Dic15—22no—
201C2×Dic15C22×C411yescharacteristic
202C2×Dic15C22×C411yescharacteristic
203C2×Dic15C22×C411yescharacteristic
204C2×Dic15C22×C411yescharacteristic
205C2×Dic15C22×C411yescharacteristic
206C2×Dic15C22×C411yescharacteristic
207C2×Dic15C22×C411yescharacteristic
208C4×D15—21no—
209C4×D15—21no—
210Dic30—22no—
211C3×#168—21no—
212C3×#168—21no—
213C3×#168—21no—
214C3×#168#4112yes—
215C5×C3⋊C8—21no—
216C5×C3⋊C8—21no—
217C5×C3⋊C8—21no—
218C5×C3⋊C8#4112yes—
219C2×C3×M16—51no—
220C22×C3×C8—51no—
221C3×C4×D4C2×D511yescharacteristic
222#939—51no—
223#935—51no—
224C4×#67—51no—
225C4×#67—51no—
226#926—51no—
227C2×C4×Dic3—51no—
228C22×C3⋊C8C2×D511yescharacteristic
229C22×C3⋊C8C2×D511yescharacteristic
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⋊C8—51no—
243C3×#97—51no—
244#830C2×D511yescharacteristic
245#830C2×D511yescharacteristic
246(C2×D3)⋊C8—51no—
247(C2×D3)⋊C8—51no—
248#815—51no—
249#815—51no—
250#815—51no—
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×Dic3—51no—
260C4⋊(C3⋊C8)C2×D511yescharacteristic
261C4×C3⋊C8C2×D511yescharacteristic
262C2×C5×D4C4×D311yescharacteristic
263C22×C4×C5C22×D311yescharacteristic
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—31no—
274C2×C5×C8—31no—
275C2×C5×C8—62no—
276C2×C5×C8—62no—
277C5×C4⋊C4C4×D311yescharacteristic
278C5×C22⋊C4C4×D311yescharacteristic
279C5×C22⋊C4C4×D311yescharacteristic
280C42×C5C22×D311yescharacteristic
281C22⋊Dic5—31no—
282C22⋊Dic5—31no—
283C22⋊Dic5—31no—
284C22⋊Dic5—31no—
285#685—31no—
286#685—31no—
287#685—31no—
288#685—31no—
289C4⋊Dic5—31no—
290C4⋊Dic5—31no—
291C4⋊Dic5—31no—
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×Dic5—31no—
302C4×Dic5—31no—
303#681—22no—
304C2×#168—22no—
305C2×#168C22×D311yescharacteristic
306C2×#168C22×D311yescharacteristic
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—51no—
316#435—151no—
317C8×D4—31no—
318C8×D4—151no—
319C8×D4—151no—
320#433—151no—
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×C5—21no—
330C22×C3×C5—21no—
331C22×C3×C5#13112yes—
332C22×C3×C5C23×C411yescharacteristic
333C2×D15—21no—
334C2×D15—21no—
335C2×D15—21no—
336C3×C4×C5—21no—
337C3×C4×C5—21no—
338C3×C4×C5—21no—
339C3×C4×C5—21no—
340C3×C4×C5C2×#4111yescharacteristic
341C3×C4×C5C2×#4111yescharacteristic
342Dic15—21no—
343Dic15—21no—
344Dic15—21no—
345Dic15—21no—
346Dic15—21no—
347Dic15—21no—
348Dic15#13112yes—
349C2×C3×D4C4×D511yescharacteristic
350C22×C3×C4C22×D511yescharacteristic
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—51no—
362C2×C3×C8—51no—
363C2×C3×C8—102no—
364C3×C4⋊C4C4×D511yescharacteristic
365C3×C22⋊C4C4×D511yescharacteristic
366C3×C22⋊C4C4×D511yescharacteristic
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)⋊C4—51no—
375(C2×D3)⋊C4—51no—
376C4⋊Dic3—51no—
377C4⋊Dic3—51no—
378C4⋊Dic3—51no—
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×Dic3—51no—
389C4×Dic3—51no—
390C2×C3⋊C8—22no—
391C2×C3⋊C8—22no—
392C2×C3⋊C8C22×D511yescharacteristic
393C2×C3⋊C8C22×D511yescharacteristic
394C2×C3⋊C8C22×D511yescharacteristic
395C2×C3⋊C8C22×D511yescharacteristic
396ΓL(1,𝔽25)—102no—
397D3×C8—102no—
398C23×C5C2×C4×D311yescharacteristic
399C23×C5C2×C4×D311yescharacteristic
400C22×D5—31no—
401C5×D4—22no—
402C2×C4×C5—21no—
403C2×C4×C5—21no—
404C2×C4×C5—21no—
405C2×C4×C5—21no—
406C2×C4×C5C2×C4×D311yescharacteristic
407C2×C4×C5C2×C4×D311yescharacteristic
408C2×C4×C5C2×C4×D311yescharacteristic
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—31no—
417C2×Dic5—31no—
418C2×Dic5—31no—
419C2×Dic5—31no—
420C2×Dic5—62no—
421C2×Dic5—62no—
422C4×D5—61no—
423C4×D5—61no—
424Dic10—62no—
425C5×C8—32no—
426C5×C8—61no—
427C5×C8—61no—
428C5×C8—61no—
429#168—21no—
430#168—21no—
431#168—21no—
432#168#23712yes—
433C2×M16—51no—
434C2×M16—151no—
435C22×C8—31no—
436C22×C8—31no—
437C22×C8—51no—
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—151no—
449C4×D4—151no—
450C4×D4D3×D511yescharacteristic
451#117—151no—
452#117—151no—
453C2×C42—151no—
454C4⋊C8—31no—
455C4⋊C8—51no—
456C4⋊C8—151no—
457C4⋊C8—151no—
458C4⋊C8—151no—
459C4⋊C8—151no—
460C22⋊C8—31no—
461C22⋊C8—31no—
462C22⋊C8—51no—
463C22⋊C8—51no—
464C22⋊C8—151no—
465C22⋊C8—151no—
466#97—51no—
467#97—151no—
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—22no—
477C2×C3×C5—41no—
478C2×C3×C5C4×#4111yescharacteristic
479C2×C3×C5C2×#13111yescharacteristic
480C2×C3×C5C2×#13111yescharacteristic
481D15—41no—
482C23×C3C2×C4×D511yescharacteristic
483C23×C3C2×C4×D511yescharacteristic
484C22×D3—51no—
485C3×D4—22no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4C2×C4×D511yescharacteristic
491C2×C3×C4C2×C4×D511yescharacteristic
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—51no—
502C2×Dic3—51no—
503C2×Dic3—51no—
504C2×Dic3—102no—
505C2×Dic3—102no—
506C4×D3—101no—
507C4×D3—101no—
508Dic6—102no—
509C3×C8—52no—
510C3×C8—101no—
511C3×C8—101no—
512C3×C8—101no—
513C3⋊C8—21no—
514C3⋊C8—21no—
515C3⋊C8—21no—
516C3⋊C8#71112yes—
517C22×C5—21no—
518C22×C5—21no—
519C22×C5—21no—
520C22×C5—21no—
521C22×C5—21no—
522C22×C5#90712yes—
523C22×C5C22×C4×D311yescharacteristic
524C2×D5—61no—
525C2×D5—61no—
526C2×D5—61no—
527C4×C5—21no—
528C4×C5—21no—
529C4×C5—21no—
530C4×C5—21no—
531C4×C5C2×#23711yescharacteristic
532C4×C5D3×#4111yescharacteristic
533Dic5—32no—
534Dic5—61no—
535Dic5—61no—
536Dic5—61no—
537Dic5—61no—
538Dic5—61no—
539Dic5—61no—
540C2×Q8—151no—
541C2×D4—151no—
542C2×D4—151no—
543C2×D4#120011yescharacteristic
544C22×C4—151no—
545C22×C4—151no—
546C22×C4—151no—
547C22×C4C2×D3×D511yescharacteristic
548C22×C4C2×D3×D511yescharacteristic
549M16—102no—
550M16—302no—
551C2×C8—31no—
552C2×C8—31no—
553C2×C8—31no—
554C2×C8—31no—
555C2×C8—51no—
556C2×C8—51no—
557C2×C8—51no—
558C2×C8—51no—
559C2×C8—62no—
560C2×C8—62no—
561C2×C8—102no—
562C2×C8—302no—
563C4⋊C4—151no—
564C4⋊C4—151no—
565C4⋊C4—151no—
566C4⋊C4—151no—
567C4⋊C4—151no—
568C4⋊C4—151no—
569C4⋊C4—151no—
570C4⋊C4—151no—
571C4⋊C4—151no—
572C4⋊C4#120011yescharacteristic
573C22⋊C4—151no—
574C22⋊C4—151no—
575C22⋊C4—151no—
576C22⋊C4—151no—
577C22⋊C4—151no—
578C22⋊C4—151no—
579C22⋊C4—151no—
580C22⋊C4—151no—
581C22⋊C4#120011yescharacteristic
582C22⋊C4#120011yescharacteristic
583C42—151no—
584C42—151no—
585C42—151no—
586C42—151no—
587C42—151no—
588C42C2×D3×D511yescharacteristic
589C3×C5#296611yescharacteristic, complemented, Hall
590C22×C3—21no—
591C22×C3—21no—
592C22×C3—21no—
593C22×C3—21no—
594C22×C3—21no—
595C22×C3#404712yes—
596C22×C3C22×C4×D511yescharacteristic
597C2×D3—101no—
598C2×D3—101no—
599C2×D3—101no—
600C3×C4—21no—
601C3×C4—21no—
602C3×C4—21no—
603C3×C4—21no—
604C3×C4C2×#71111yescharacteristic
605C3×C4D5×#4111yescharacteristic
606Dic3—52no—
607Dic3—101no—
608Dic3—101no—
609Dic3—101no—
610Dic3—101no—
611Dic3—101no—
612Dic3—101no—
613C2×C5—22no—
614C2×C5—41no—
615C2×C5C4×#23711yescharacteristic
616C2×C5C2×#90711yescharacteristic
617C2×C5D3×#13111yescharacteristic
618D5—121no—
619C23—151no—
620C23C2×#120011yescharacteristic
621C23C2×#120011yescharacteristic
622Q8—302no—
623D4—22no—
624D4—302no—
625D4—302no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—151no—
631C2×C4—151no—
632C2×C4—151no—
633C2×C4—151no—
634C2×C4—151no—
635C2×C4—151no—
636C2×C4—151no—
637C2×C4—302no—
638C2×C4—302no—
639C2×C4—301no—
640C2×C4—301no—
641C2×C4C2×#120011yescharacteristic
642C2×C4C2×#120011yescharacteristic
643C2×C4C2×#120011yescharacteristic
644C2×C4C2×#120011yescharacteristic
645C2×C4C22×D3×D511yescharacteristic
646C8—32no—
647C8—52no—
648C8—61no—
649C8—61no—
650C8—61no—
651C8—101no—
652C8—101no—
653C8—101no—
654C2×C3—22no—
655C2×C3—41no—
656C2×C3C4×#71111yescharacteristic
657C2×C3C2×#404711yescharacteristic
658C2×C3D5×#13111yescharacteristic
659D3—201no—
660C5#7945411yescharacteristic, complemented, Sylow
661C22—21no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—301no—
667C22—301no—
668C22—301no—
669C22#9129112yes—
670C22C22×#120011yescharacteristic
671C4—21no—
672C4—21no—
673C4—21no—
674C4—21no—
675C4—152no—
676C4—301no—
677C4—301no—
678C4—301no—
679C4—301no—
680C4—301no—
681C4—301no—
682C4D5×#23711yescharacteristic
683C4D3×#71111yescharacteristic
684C3#1061113111yescharacteristic, complemented, Sylow
685C2—22no—
686C2—41no—
687C2—601no—
688C2C2×#9129111yescharacteristic
689C2#1175485311yescharacteristic
690C2#1175529911yescharacteristic
subgroupG/H
center, FrattiniC2×C4C22×D3×D5
commutator, socleC22×C3×C5C23×C4
FittingC3×C4×C5×D4C22
prime radical#91828C4
cosocleC2×C3×C4×C5C24
hypercenterC4×D4D3×D5
hypocenterC3×C5#2966
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C2×C4 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
2. C5×D4×C3⋊C8C2semidirect
3. C3×#65300C2semidirect
4. #11748502C2semidirect
5. #11748491C2semidirect
6. #11748491C2semidirect
7. #11748338C2semidirect
8. #11748332C2semidirect
9. #11748326C2semidirect
10. C2×#90951C2semidirect
11. #11748312C2semidirect
12. #11746982C2semidirect
13. #11746860C2semidirect
14. #11746855C2semidirect
15. #11746852C2semidirect
67. #65300D3semidirect
131. D4×C3⋊C8D5semidirect
589. C3×C5#2966semidirect
660. C5#79454semidirect
684. C3#10611131semidirect

Maximal subgroups

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

subgroupindex
#117562972
C5×D4×C3⋊C82
C3×#653002
#117485022
#117484912
#117483382
#117483322
#117483262
C2×#909512
#117483122
#117469822
#117468602
#117468552
#117468522
#106111313
#794545