Finite Group Databasebeta

← #14423106

Subgroups — #14423106

Order 1920.

692 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#11752499C211yesmaximal, characteristic
2#11750807C211yesmaximal, characteristic, complemented
3C5×#4705C211yesmaximal, characteristic, complemented
4C3×#64990C211yesmaximal, characteristic, complemented
5#11747731C211yesmaximal, characteristic, complemented
6#11747730C211yesmaximal, characteristic, complemented
7#11747710C211yesmaximal, characteristic, complemented
8#11747708C211yesmaximal, characteristic, complemented
9#11747667C211yesmaximal, characteristic, complemented
10#11747664C211yesmaximal, characteristic, complemented
11#11747660C211yesmaximal, characteristic, complemented
12#11747658C211yesmaximal, characteristic, complemented
13#11747011C211yesmaximal, characteristic, complemented
14#11746995C211yesmaximal, characteristic, complemented
15#11746847C211yesmaximal, characteristic, complemented
16#10611073—31nomaximal, Hall
17C2×#6705C2211yescharacteristic
18C2×C8×D15C2211yescharacteristic
19C4×D60C2211yescharacteristic
20C42×C5×D3C2211yescharacteristic
21C3×C4×Dic10C2211yescharacteristic
22#91460C411yescharacteristic
23C4×#1203C2211yescharacteristic
24C4×#1203C2211yescharacteristic
25#91386C2211yescharacteristic
26#91386C2211yescharacteristic
27#91381C411yescharacteristic
28#91380C411yescharacteristic
29#91380C411yescharacteristic
30#91374C411yescharacteristic
31#91369C411yescharacteristic
32#91351C411yescharacteristic
33#91351C411yescharacteristic
34C2×#6651C2211yescharacteristic
35C2×#6650C2211yescharacteristic
36C2×#6650C2211yescharacteristic
37C2×#6648C2211yescharacteristic
38C3×C5×#97C2211yescharacteristic
39#91104C2211yescharacteristic
40#91104C2211yescharacteristic
41C4⋊(C3⋊#168)C2211yescharacteristic
42C5×(C2×D3)⋊C8C2211yescharacteristic
43C5×(C2×D3)⋊C8C2211yescharacteristic
44C5×Dic3⋊C8C2211yescharacteristic
45C5×Dic3⋊C8C2211yescharacteristic
46C5×#803C2211yescharacteristic
47C3×#3947C2211yescharacteristic
48C3×#3946C2211yescharacteristic
49C3×#3946C2211yescharacteristic
50C3×C8×Dic5C2211yescharacteristic
51C3×C4⋊#168C2211yescharacteristic
52Dic3⋊#168C2211yescharacteristic
53Dic3⋊#168C2211yescharacteristic
54#90982C2211yescharacteristic
55#90982C2211yescharacteristic
56#90957C2211yescharacteristic
57#90957C2211yescharacteristic
58#90952C2211yescharacteristic
59Dic5×C3⋊C8C2211yescharacteristic
60#79949—51nomaximal, Hall
61#65813—31no—
62C5×#432—31no—
63#65213—31no—
64#65129—31no—
65#65129—31no—
66#65128—31no—
67#65128—31no—
68#65018—31no—
69#65018—31no—
70#65017—31no—
71#65017—31no—
72#64995—31no—
73#64995—31no—
74#64990—31no—
75#64990D311yescharacteristic, complemented
76C2×D60C2×C411yescharacteristic
77C2×C4×D15C2311yescharacteristic
78C2×C4×D15C2311yescharacteristic
79C2×C4×C5×D3C2×C411yescharacteristic
80C2×C4×C5×D3C2×C411yescharacteristic
81C2×C4×C5×D3C2311yescharacteristic
82C2×C3×Dic10C2×C411yescharacteristic
83C2×#1203C2×C411yescharacteristic
84C2×#1203C2×C411yescharacteristic
85C2×C3×C5×C8C2311yescharacteristic
86C2×C3×C5×C8C2311yescharacteristic
87C3×C42×C5C2311yescharacteristic
88#6714C2×C411yescharacteristic
89#6714C2×C411yescharacteristic
90C4⋊Dic15C2×C411yescharacteristic
91C2×C3⋊#168C2311yescharacteristic
92C2×C3⋊#168C2311yescharacteristic
93#6705—41no—
94C8×D15—41no—
95C4×C5×Dic3C2×C411yescharacteristic
96C4×C5×Dic3C2×C411yescharacteristic
97C4×C5×Dic3C2311yescharacteristic
98C2×C5×C3⋊C8C2311yescharacteristic
99C2×C5×C3⋊C8C2311yescharacteristic
100C3×C4⋊Dic5C2×C411yescharacteristic
101C3×#683C2×C411yescharacteristic
102C3×#683C2×C411yescharacteristic
103C3×C4×Dic5C2311yescharacteristic
104C3×C4×Dic5C2311yescharacteristic
105C2×C3×#168C2311yescharacteristic
106C2×C3×#168C2311yescharacteristic
107#6669C2×C411yescharacteristic
108#6669C2×C411yescharacteristic
109#6669C2×C411yescharacteristic
110#6669C2×C411yescharacteristic
111#6668C2×C411yescharacteristic
112#6668C2×C411yescharacteristic
113#6667C2×C411yescharacteristic
114#6667C2×C411yescharacteristic
115#6667C2×C411yescharacteristic
116#6667C2×C411yescharacteristic
117#6667C2×C411yescharacteristic
118#6667C2×C411yescharacteristic
119(C2×D3)⋊Dic5C2×C411yescharacteristic
120(C2×D3)⋊Dic5C2×C411yescharacteristic
121#6651—41no—
122#6650—41no—
123#6650—41no—
124#6648—41no—
125#5580—51no—
126C3×#446—51no—
127#5024—51no—
128#4839—51no—
129#4839—51no—
130#4838—51no—
131#4837—51no—
132#4836—51no—
133#4836—51no—
134#4709—51no—
135#4706—51no—
136#4706—51no—
137#4705D511yescharacteristic, complemented
138#4690—51no—
139#4688—51no—
140C2×C42×C5—31no—
141#4076—31no—
142#4075—31no—
143#4075—31no—
144C4×C22⋊D5—31no—
145C4×C22⋊D5—31no—
146#4070—31no—
147C2×#681—31no—
148C2×#681—31no—
149C2×#676—31no—
150C2×#676—31no—
151C2×C8×D5—31no—
152C2×C8×D5—31no—
153#4022—31no—
154#4022—31no—
155#4021—31no—
156C4×D20—31no—
157#4018—31no—
158#4018—31no—
159#4016—31no—
160C4×Dic10C2×D311yescharacteristic
161C5×C4⋊C8—31no—
162C5×C4⋊C8—31no—
163C5×C22⋊C8—31no—
164C5×C22⋊C8—31no—
165C5×#97—31no—
166C5×#97C2×D311yescharacteristic
167#3952—31no—
168#3952—31no—
169#3952—31no—
170#3952—31no—
171#3947—31no—
172#3947C2×D311yescharacteristic
173#3946—31no—
174#3946—31no—
175#3946C2×D311yescharacteristic
176#3946C2×D311yescharacteristic
177C8×Dic5—31no—
178C8×Dic5C2×D311yescharacteristic
179C4⋊#168—31no—
180C4⋊#168—31no—
181C4⋊#168—31no—
182C4⋊#168C2×D311yescharacteristic
183#2995—151noSylow
184C22×D15C22×C411yescharacteristic
185C22×D15C22×C411yescharacteristic
186C22×C5×D3C22×C411yescharacteristic
187C2×C3×C4×C5C22×C411yescharacteristic
188C2×C3×C4×C5C22×C411yescharacteristic
189C2×C3×C4×C5C2411yescharacteristic
190C2×Dic15C22×C411yescharacteristic
191C2×Dic15C22×C411yescharacteristic
192D60—41no—
193C4×D15—21no—
194C4×D15—21no—
195C4×D15—21no—
196C4×D15—21no—
197C2×C5×Dic3C22×C411yescharacteristic
198C2×C5×Dic3C22×C411yescharacteristic
199C2×C5×Dic3C22×C411yescharacteristic
200C4×C5×D3—21no—
201C4×C5×D3—21no—
202C4×C5×D3—41no—
203C4×C5×D3—41no—
204C2×C3×Dic5C22×C411yescharacteristic
205C2×C3×Dic5C22×C411yescharacteristic
206C2×C3×Dic5C22×C411yescharacteristic
207C2×C3×Dic5C22×C411yescharacteristic
208C3×Dic10—41no—
209#1203—41no—
210#1203—41no—
211C3×C5×C8—21no—
212C3×C5×C8—21no—
213C3⋊#168—21no—
214C3⋊#168—21no—
215C3×#168—21no—
216C3×#168—21no—
217C5×C3⋊C8—21no—
218C5×C3⋊C8—21no—
219C3×C4×Q8—51no—
220#947—51no—
221#946—51no—
222C2×ΓL(1,𝔽25)—51no—
223C2×ΓL(1,𝔽25)—51no—
224C2×ΓL(1,𝔽25)—51no—
225C2×ΓL(1,𝔽25)—51no—
226C2×D3×C8—51no—
227C2×D3×C8—51no—
228#898—51no—
229#898—51no—
230#895—51no—
231#894—51no—
232#894—51no—
233#890—51no—
234C4×D12—51no—
235C4×D12—51no—
236C4×D12—51no—
237#872—51no—
238#872—51no—
239C42×D3C2×D511yescharacteristic
240C3×C4⋊C8—51no—
241C3×C4⋊C8—51no—
242C3×C4⋊C8—51no—
243C3×#97—51no—
244C3×#97C2×D511yescharacteristic
245C3×C4×C8—51no—
246(C2×D3)⋊C8—51no—
247(C2×D3)⋊C8—51no—
248(C2×D3)⋊C8—51no—
249(C2×D3)⋊C8—51no—
250(C2×D3)⋊C8C2×D511yescharacteristic
251(C2×D3)⋊C8C2×D511yescharacteristic
252Dic3⋊C8—51no—
253Dic3⋊C8—51no—
254Dic3⋊C8C2×D511yescharacteristic
255Dic3⋊C8C2×D511yescharacteristic
256C4⋊(C3⋊C8)—51no—
257C4⋊(C3⋊C8)—51no—
258C4⋊(C3⋊C8)—51no—
259#803—51no—
260#803C2×D511yescharacteristic
261C4×C3⋊C8—51no—
262C22×C4×C5—31no—
263C22×C4×C5—31no—
264C22×C4×C5—31no—
265C2×C22⋊D5—31no—
266C2×C22⋊D5—31no—
267C2×D20—31no—
268C2×C4×D5—31no—
269C2×C4×D5—31no—
270C2×Dic10C4×D311yescharacteristic
271C2×C5×C8—31no—
272C2×C5×C8—31no—
273C2×C5×C8C22×D311yescharacteristic
274C2×C5×C8C22×D311yescharacteristic
275C42×C5—31no—
276C42×C5—31no—
277C42×C5—31no—
278C42×C5C22×D311yescharacteristic
279C22⋊Dic5—31no—
280C22⋊Dic5—31no—
281#685—31no—
282#685—31no—
283#685—31no—
284#685—31no—
285#685—31no—
286#685—31no—
287#685—31no—
288#685—31no—
289C4⋊Dic5—31no—
290C4⋊Dic5C4×D311yescharacteristic
291#683—31no—
292#683—31no—
293#683—31no—
294#683—31no—
295#683—31no—
296#683—31no—
297#683C4×D311yescharacteristic
298#683C4×D311yescharacteristic
299C4×Dic5C22×D311yescharacteristic
300C4×Dic5C22×D311yescharacteristic
301#681—121no—
302#681—121no—
303C2×#168—31no—
304C2×#168—31no—
305C2×#168C22×D311yescharacteristic
306C2×#168C22×D311yescharacteristic
307#676—121no—
308#676—121no—
309C8×D5—121no—
310C8×D5—121no—
311#529—151no—
312#446—51no—
313#446—151no—
314#436—151no—
315#436—151no—
316#435—151no—
317#435—151no—
318#435—151no—
319#435—151no—
320#433—151no—
321#433—151no—
322#432—31no—
323#424—151no—
324#424—151no—
325#423—151no—
326C22×C3×C5C23×C411yescharacteristic
327C2×D15—21no—
328C2×D15—21no—
329C2×D15—21no—
330C2×D15—21no—
331C2×D15—21no—
332C2×D15—21no—
333C2×C5×D3—21no—
334C2×C5×D3—21no—
335C2×C5×D3—21no—
336C3×C4×C5—21no—
337C3×C4×C5—21no—
338C3×C4×C5H(5,𝔽2)11yescharacteristic
339C3×C4×C52−1+411yescharacteristic
340Dic15—21no—
341Dic15—21no—
342C3×Dic5—21no—
343C3×Dic5—21no—
344C3×Dic5—21no—
345C3×Dic5—21no—
346C5×Dic3—21no—
347C5×Dic3—21no—
348C5×Dic3—21no—
349C2×C3×Q8—51no—
350C2×D12—51no—
351C2×D12—51no—
352C2×D12—51no—
353C2×C4×D3—51no—
354C2×C4×D3—51no—
355C2×C4×D3C4×D511yescharacteristic
356C2×C4×D3C4×D511yescharacteristic
357C2×C4×D3C22×D511yescharacteristic
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×C4⋊C4—51no—
365C3×C42—51no—
366C3×C42—51no—
367C3×C42C22×D511yescharacteristic
368(C2×D3)⋊C4—51no—
369(C2×D3)⋊C4—51no—
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)⋊C4—51no—
376(C2×D3)⋊C4—51no—
377(C2×D3)⋊C4—51no—
378C4⋊Dic3—51no—
379C4⋊Dic3—51no—
380C4⋊Dic3—51no—
381Dic3⋊C4—51no—
382Dic3⋊C4—51no—
383Dic3⋊C4—51no—
384Dic3⋊C4—51no—
385C4×Dic3C4×D511yescharacteristic
386C4×Dic3C4×D511yescharacteristic
387C4×Dic3C22×D511yescharacteristic
388C2×C3⋊C8—51no—
389C2×C3⋊C8—51no—
390C2×C3⋊C8C22×D511yescharacteristic
391C2×C3⋊C8C22×D511yescharacteristic
392ΓL(1,𝔽25)—201no—
393ΓL(1,𝔽25)—201no—
394ΓL(1,𝔽25)—201no—
395ΓL(1,𝔽25)—201no—
396D3×C8—201no—
397D3×C8—201no—
398C23×C5—31no—
399C22×D5—31no—
400C22×D5—31no—
401C2×C4×C5—31no—
402C2×C4×C5—31no—
403C2×C4×C5—31no—
404C2×C4×C5—61no—
405C2×C4×C5—61no—
406C2×C4×C5—121no—
407C2×C4×C5—121no—
408C2×C4×C5C2×C4×D311yescharacteristic
409C2×C4×C5C2×C4×D311yescharacteristic
410C2×C4×C5C23×D311yescharacteristic
411C22⋊D5—121no—
412C22⋊D5—121no—
413C2×Dic5—31no—
414C2×Dic5—31no—
415C2×Dic5C2×C4×D311yescharacteristic
416C2×Dic5C2×C4×D311yescharacteristic
417C2×Dic5C2×C4×D311yescharacteristic
418C2×Dic5C2×C4×D311yescharacteristic
419D20—121no—
420C4×D5—61no—
421C4×D5—61no—
422C4×D5—61no—
423C4×D5—61no—
424Dic10—41no—
425C5×C8—21no—
426C5×C8—21no—
427C5×C8—61no—
428C5×C8—61no—
429#168—21no—
430#168—21no—
431#168—61no—
432#168—61no—
433C2×M16—151no—
434C2×M16—151no—
435C2×M16—151no—
436C2×M16—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—51no—
448C4×D4—151no—
449C4×D4—151no—
450C4×D4—151no—
451#117—151no—
452#117—151no—
453C2×C42—31no—
454C4⋊C8—31no—
455C4⋊C8—31no—
456C4⋊C8—51no—
457C4⋊C8—51no—
458C4⋊C8—51no—
459C4⋊C8—151no—
460C4⋊C8—151no—
461C4⋊C8—151no—
462C4⋊C8—151no—
463C4⋊C8—151no—
464C22⋊C8—31no—
465C22⋊C8—31no—
466C22⋊C8—151no—
467C22⋊C8—151no—
468C22⋊C8—151no—
469C22⋊C8—151no—
470#97—31no—
471#97—51no—
472#97—151no—
473#97D3×D511yescharacteristic
474C4×C8—51no—
475C4×C8—151no—
476C2×C3×C5#52011yescharacteristic
477C2×C3×C5#56811yescharacteristic
478C2×C3×C5#56811yescharacteristic
479D15—41no—
480D15—41no—
481C5×D3—41no—
482C22×D3—51no—
483C22×D3—51no—
484C22×D3C2×C4×D511yescharacteristic
485C3×Q8—201no—
486C2×C3×C4—51no—
487C2×C3×C4—51no—
488C2×C3×C4—51no—
489C2×C3×C4—51no—
490C2×C3×C4C2×C4×D511yescharacteristic
491C2×C3×C4C2×C4×D511yescharacteristic
492C2×C3×C4C23×D511yescharacteristic
493C2×Dic3—51no—
494C2×Dic3—51no—
495C2×Dic3C2×C4×D511yescharacteristic
496C2×Dic3C2×C4×D511yescharacteristic
497C2×Dic3C2×C4×D511yescharacteristic
498D12—201no—
499D12—201no—
500D12—201no—
501C4×D3—21no—
502C4×D3—21no—
503C4×D3—41no—
504C4×D3—41no—
505C4×D3—101no—
506C4×D3—101no—
507C4×D3—101no—
508C4×D3—101no—
509C3×C8—21no—
510C3×C8—21no—
511C3×C8—101no—
512C3×C8—101no—
513C3⋊C8—21no—
514C3⋊C8—21no—
515C3⋊C8—101no—
516C3⋊C8—101no—
517C22×C5—61no—
518C22×C5—61no—
519C22×C5—61no—
520C22×C5C22×C4×D311yescharacteristic
521C2×D5—61no—
522C2×D5—61no—
523C2×D5—61no—
524C2×D5—61no—
525C2×D5—61no—
526C2×D5—61no—
527C4×C5—21no—
528C4×C5—21no—
529C4×C5—61no—
530C4×C5—61no—
531C4×C5—61no—
532C4×C5#100711yescharacteristic
533C4×C5#100911yescharacteristic
534Dic5—21no—
535Dic5—21no—
536Dic5—21no—
537Dic5—21no—
538Dic5—61no—
539Dic5—61no—
540C2×Q8—51no—
541C2×D4—151no—
542C2×D4—151no—
543C2×D4—151no—
544C22×C4—31no—
545C22×C4—31no—
546C22×C4—31no—
547C22×C4—151no—
548C22×C4—151no—
549M16—601no—
550M16—601no—
551M16—601no—
552M16—601no—
553C2×C8—31no—
554C2×C8—31no—
555C2×C8—51no—
556C2×C8—51no—
557C2×C8—151no—
558C2×C8—151no—
559C2×C8—601no—
560C2×C8—601no—
561C2×C8C2×D3×D511yescharacteristic
562C2×C8C2×D3×D511yescharacteristic
563C4⋊C4—51no—
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—151no—
574C22⋊C4—151no—
575C22⋊C4—151no—
576C22⋊C4—151no—
577C22⋊C4—151no—
578C22⋊C4—151no—
579C22⋊C4—151no—
580C22⋊C4—151no—
581C22⋊C4—151no—
582C22⋊C4—151no—
583C42—31no—
584C42—31no—
585C42—31no—
586C42—51no—
587C42—51no—
588C42C2×D3×D511yescharacteristic
589C3×C5#299511yescharacteristic, complemented, Hall
590C22×C3C22×C4×D511yescharacteristic
591C2×D3—21no—
592C2×D3—21no—
593C2×D3—21no—
594C2×D3—101no—
595C2×D3—101no—
596C2×D3—101no—
597C2×D3—101no—
598C2×D3—101no—
599C2×D3—101no—
600C3×C4—21no—
601C3×C4—21no—
602C3×C4—101no—
603C3×C4—101no—
604C3×C4—101no—
605C3×C4—101no—
606C3×C4#414911yescharacteristic
607C3×C4#415011yescharacteristic
608Dic3—21no—
609Dic3—21no—
610Dic3—21no—
611Dic3—101no—
612Dic3—101no—
613C2×C5—121no—
614C2×C5#557411yescharacteristic
615C2×C5#574511yescharacteristic
616C2×C5#575011yescharacteristic
617D5—121no—
618D5—121no—
619C23—31no—
620C23—151no—
621C23—151no—
622Q8—201no—
623D4—601no—
624D4—601no—
625D4—601no—
626C2×C4—31no—
627C2×C4—31no—
628C2×C4—31no—
629C2×C4—51no—
630C2×C4—51no—
631C2×C4—51no—
632C2×C4—51no—
633C2×C4—61no—
634C2×C4—61no—
635C2×C4—121no—
636C2×C4—121no—
637C2×C4—151no—
638C2×C4—151no—
639C2×C4—301no—
640C2×C4—301no—
641C2×C4—301no—
642C2×C4—301no—
643C2×C4C4×D3×D511yescharacteristic
644C2×C4C4×D3×D511yescharacteristic
645C2×C4C22×D3×D511yescharacteristic
646C8—21no—
647C8—21no—
648C8—61no—
649C8—61no—
650C8—101no—
651C8—101no—
652C8—301no—
653C8—301no—
654C2×C3#6585711yescharacteristic
655C2×C3#6607911yescharacteristic
656C2×C3#6607911yescharacteristic
657D3—41no—
658D3—201no—
659D3—201no—
660C5#7994911yescharacteristic, complemented, Sylow
661C22—61no—
662C22—61no—
663C22—61no—
664C22—301no—
665C22—301no—
666C22—301no—
667C22—301no—
668C22—301no—
669C22—301no—
670C22C2×C4×D3×D511yescharacteristic
671C4—21no—
672C4—21no—
673C4—61no—
674C4—61no—
675C4—61no—
676C4—101no—
677C4—101no—
678C4—101no—
679C4—101no—
680C4—301no—
681C4—301no—
682C4#9200411yescharacteristic
683C4#9201911yescharacteristic
684C3#1061107311yescharacteristic, complemented, Sylow
685C2—121no—
686C2—601no—
687C2—601no—
688C2#1175252711yescharacteristic
689C2#1175401611yescharacteristic
690C2#1175404111yescharacteristic
subgroupG/H
center, FrattiniC2×C4C22×D3×D5
commutator, socleC22×C3×C5C23×C4
FittingC3×C5×#97C22
prime radical#91460C4
cosocleC2×C3×C4×C5C24
hypercenter#97D3×D5
hypocenterC3×C5#2995
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. #11750807C2semidirect
3. C5×#4705C2semidirect
4. C3×#64990C2semidirect
5. #11747731C2semidirect
6. #11747730C2semidirect
7. #11747710C2semidirect
8. #11747708C2semidirect
9. #11747667C2semidirect
10. #11747664C2semidirect
11. #11747660C2semidirect
12. #11747658C2semidirect
13. #11747011C2semidirect
14. #11746995C2semidirect
15. #11746847C2semidirect
75. #64990D3semidirect
137. #4705D5semidirect
589. C3×C5#2995semidirect
660. C5#79949semidirect
684. C3#10611073semidirect

Maximal subgroups

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

subgroupindex
#117524992
#117508072
C5×#47052
C3×#649902
#117477312
#117477302
#117477102
#117477082
#117476672
#117476642
#117476602
#117476582
#117470112
#117469952
#117468472
#106110733
#799495