Finite Group Databasebeta

← #14419546

Subgroups — #14419546

Order 1920.

724 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#11754409C211yesmaximal, characteristic
2C4×#6762C211yesmaximal, characteristic, complemented
3C3×#65759C211yesmaximal, characteristic, complemented
4#11752041C211yesmaximal, characteristic, complemented
5#11752039C211yesmaximal, characteristic, complemented
6#11751992C211yesmaximal, characteristic, complemented
7#11751991C211yesmaximal, characteristic, complemented
8#11751889C211yesmaximal, characteristic, complemented
9#11751888C211yesmaximal, characteristic, complemented
10#11751874C211yesmaximal, characteristic, complemented
11#11751870C211yesmaximal, characteristic, complemented
12#11751810C211yesmaximal, characteristic, complemented
13#11751809C211yesmaximal, characteristic, complemented
14#11751766C211yesmaximal, characteristic, complemented
15#11751765C211yesmaximal, characteristic, complemented
16#10617293—31nomaximal, Hall
17C2×#6762C2211yescharacteristic
18C2×#6762C2211yescharacteristic
19C2×#6740C2211yescharacteristic
20C2×#6739C2211yescharacteristic
21C2×#6738C2211yescharacteristic
22C2×D3×#170C2211yescharacteristic
23#91818C411yescharacteristic
24C5×#929C411yescharacteristic
25C2×C3×C4×Dic5C2211yescharacteristic
26#91574C411yescharacteristic
27#91566C411yescharacteristic
28#91552C2211yescharacteristic
29Dic5×#67C2211yescharacteristic
30#91405C2211yescharacteristic
31#91402C2211yescharacteristic
32#91398C2211yescharacteristic
33#91387C411yescharacteristic
34#91378C411yescharacteristic
35#91372C411yescharacteristic
36#91350C411yescharacteristic
37#91323C2211yescharacteristic
38#91231C2211yescharacteristic
39#91231C2211yescharacteristic
40C4×C3⋊#170C2211yescharacteristic
41C4×C3⋊#170C2211yescharacteristic
42C3×C22⋊#170C2211yescharacteristic
43C3×C22⋊#170C2211yescharacteristic
44C3×#4002C2211yescharacteristic
45C3×#4002C2211yescharacteristic
46C3×C4⋊#170C2211yescharacteristic
47C3×C4⋊#170C2211yescharacteristic
48#91177C2211yescharacteristic
49#91177C2211yescharacteristic
50Dic3⋊#170C2211yescharacteristic
51Dic3⋊#170C2211yescharacteristic
52#91171C2211yescharacteristic
53#91171C2211yescharacteristic
54(C2×D3)⋊#170C2211yescharacteristic
55(C2×D3)⋊#170C2211yescharacteristic
56#91169C2211yescharacteristic
57#91169C2211yescharacteristic
58Dic3×#170C2211yescharacteristic
59Dic3×#170C2211yescharacteristic
60#79326—51nomaximal, Hall
61#65983—31no—
62#65774—31no—
63#65773—31no—
64#65759D311yescharacteristic, complemented
65C4×#704—31no—
66#65709—31no—
67#65707—31no—
68#65706—31no—
69#65701—31no—
70#65697—31no—
71#65695—31no—
72#65694—31no—
73#65694—31no—
74#65693—31no—
75#65691—31no—
76C22×C3×C4×C5C2×C411yescharacteristic
77C2×#1220C2×C411yescharacteristic
78C2×C5×#67C2×C411yescharacteristic
79C22×C3×Dic5C2×C411yescharacteristic
80C22×C3×Dic5C2311yescharacteristic
81C2×#1204C2×C411yescharacteristic
82C2×#1203C2×C411yescharacteristic
83C2×#1200C2311yescharacteristic
84C2×D3×Dic5C2311yescharacteristic
85#6762—22no—
86#6762—22no—
87C2×C3⋊#170C2311yescharacteristic
88C2×C3⋊#170C2311yescharacteristic
89C2×C3⋊#170C2311yescharacteristic
90C2×C3⋊#170C2311yescharacteristic
91C2×C3×#170C2311yescharacteristic
92C2×C3×#170C2311yescharacteristic
93C2×C3×#170C2311yescharacteristic
94C2×C3×#170C2311yescharacteristic
95#6740—22no—
96#6739—22no—
97#6738—22no—
98D3×#170—22no—
99#6719C2×C411yescharacteristic
100#6714C2×C411yescharacteristic
101#6714C2×C411yescharacteristic
102#6712C2×C411yescharacteristic
103#6712C2×C411yescharacteristic
104C5×#217C2×C411yescharacteristic
105C5×(C2×D3)⋊C4C2×C411yescharacteristic
106C5×(C2×D3)⋊C4C2×C411yescharacteristic
107C5×Dic3⋊C4C2×C411yescharacteristic
108C5×Dic3⋊C4C2×C411yescharacteristic
109C3×C4×Dic5C2×C411yescharacteristic
110C3×C4×Dic5C2×C411yescharacteristic
111C3×C4×Dic5C2311yescharacteristic
112C3×C4×Dic5C2311yescharacteristic
113Dic3⋊Dic5C2×C411yescharacteristic
114Dic3⋊Dic5C2×C411yescharacteristic
115#6669C2×C411yescharacteristic
116#6669C2×C411yescharacteristic
117#6668C2×C411yescharacteristic
118#6668C2×C411yescharacteristic
119#6667C2×C411yescharacteristic
120#6667C2×C411yescharacteristic
121(C2×D3)⋊Dic5C2×C411yescharacteristic
122(C2×D3)⋊Dic5C2×C411yescharacteristic
123Dic3×Dic5C2311yescharacteristic
124Dic3×Dic5C2311yescharacteristic
125#5479—51no—
126C3×#432—51no—
127C4×#208—51no—
128#4836—51no—
129#4836—51no—
130#4828—51no—
131#4828—51no—
132#4729—51no—
133#4729—51no—
134#4728—51no—
135#4728—51no—
136#4709—51no—
137#4709—51no—
138#4708—51no—
139#4708—51no—
140C2×#704—31no—
141C2×#704—31no—
142C2×#704—31no—
143C22×#170—31no—
144C2×#700—31no—
145C2×D5⋊C8—31no—
146C5×#123—31no—
147#4085—31no—
148D4×Dic5—31no—
149#4075—31no—
150C2×C4×Dic5C2×D311yescharacteristic
151#4044—31no—
152#4038—31no—
153#4035—31no—
154#4033—31no—
155#4031—31no—
156#4027—31no—
157#4027—31no—
158#4025—31no—
159#4024—31no—
160#4023—31no—
161C22⋊#170—31no—
162C22⋊#170—31no—
163C22⋊#170C2×D311yescharacteristic
164C22⋊#170C2×D311yescharacteristic
165#4004—31no—
166#4004—31no—
167#4003—31no—
168#4003—31no—
169#4002—31no—
170#4002—31no—
171#4002—31no—
172#4002—31no—
173#4002C2×D311yescharacteristic
174#4002C2×D311yescharacteristic
175C4⋊#170—31no—
176C4⋊#170—31no—
177C4⋊#170C2×D311yescharacteristic
178C4⋊#170C2×D311yescharacteristic
179C4×#170—31no—
180C4×#170—31no—
181C4×#170—31no—
182C4×#170—31no—
183#2967—151noSylow
184C23×C3×C5C22×C411yescharacteristic
185C22×D15C22×C411yescharacteristic
186C22×C5×D3C22×C411yescharacteristic
187C2×C3×C4×C5—41no—
188C2×C3×C4×C5C22×C411yescharacteristic
189C2×C3×C4×C5C22×C411yescharacteristic
190#1220—41no—
191C2×Dic15C22×C411yescharacteristic
192C2×Dic15C22×C411yescharacteristic
193C2×Dic15C22×C411yescharacteristic
194C5×#67—41no—
195C2×C5×Dic3C22×C411yescharacteristic
196C2×C5×Dic3C22×C411yescharacteristic
197C2×C5×Dic3C22×C411yescharacteristic
198C2×C3×Dic5—21no—
199C2×C3×Dic5—21no—
200C2×C3×Dic5—41no—
201C2×C3×Dic5C22×C411yescharacteristic
202C2×C3×Dic5C22×C411yescharacteristic
203C2×C3×Dic5C22×C411yescharacteristic
204C2×C3×Dic5C2411yescharacteristic
205#1204—41no—
206#1203—41no—
207#1200—21no—
208#1200—21no—
209D3×Dic5—21no—
210D3×Dic5—21no—
211C3⋊#170—21no—
212C3⋊#170—21no—
213C3⋊#170#4112yes—
214C3⋊#170#4112yes—
215C3×#170—21no—
216C3×#170—21no—
217C3×#170—21no—
218C3×#170—21no—
219C2×C3×C42—51no—
220#930—51no—
221#929—51no—
222#929AGL(1,𝔽5)11yescharacteristic
223C4×#67—51no—
224C4×#67—51no—
225#924—51no—
226C2×#208—51no—
227C2×#208—51no—
228C2×ΓL(1,𝔽25)—51no—
229C2×ΓL(1,𝔽25)—51no—
230C2×D3×C8—51no—
231C2×D3×C8—51no—
232#876—51no—
233#876—51no—
234#875—51no—
235C4×D12—51no—
236#872—51no—
237#872—51no—
238#870—51no—
239C4×Dic6—51no—
240C3×C4⋊C8—51no—
241C3×C4⋊C8—51no—
242C3×C22⋊C8—51no—
243C3×C22⋊C8—51no—
244C3×#97—51no—
245C3×#97—51no—
246(C2×D3)⋊C8—51no—
247(C2×D3)⋊C8—51no—
248(C2×D3)⋊C8—51no—
249(C2×D3)⋊C8—51no—
250#815—51no—
251#815—51no—
252Dic3⋊C8—51no—
253Dic3⋊C8—51no—
254Dic3⋊C8—51no—
255Dic3⋊C8—51no—
256C8×Dic3—51no—
257C8×Dic3—51no—
258#803—51no—
259#803—51no—
260C4×C3⋊C8—51no—
261C4×C3⋊C8—51no—
262C2×C5×D4—31no—
263C22×C4×C5C4×D311yescharacteristic
264C2×C22⋊D5—31no—
265C2×C22⋊D5—31no—
266C22×Dic5—31no—
267C22×Dic5C4×D311yescharacteristic
268C22×Dic5C22×D311yescharacteristic
269C2×C4×D5—31no—
270C2×Dic10—31no—
271#704—62no—
272#704—62no—
273#704—62no—
274C2×#170—31no—
275C2×#170—31no—
276C2×#170—31no—
277C2×#170—31no—
278C2×#170—62no—
279C2×#170C22×D311yescharacteristic
280C2×#170C22×D311yescharacteristic
281C2×#170C22×D311yescharacteristic
282C2×#170C22×D311yescharacteristic
283#700—62no—
284D5⋊C8—62no—
285C5×C4⋊C4—31no—
286C5×C4⋊C4—31no—
287C5×C22⋊C4—31no—
288C5×C22⋊C4—31no—
289C5×C22⋊C4—31no—
290C22⋊Dic5—31no—
291C22⋊Dic5—31no—
292C22⋊Dic5—31no—
293#685—31no—
294#685—31no—
295#685—31no—
296#685—31no—
297C4⋊Dic5—31no—
298C4⋊Dic5—31no—
299#683—31no—
300#683—31no—
301#683—31no—
302#683—31no—
303#683—31no—
304#683—31no—
305C4×Dic5—31no—
306C4×Dic5—31no—
307C4×Dic5C4×D311yescharacteristic
308C4×Dic5C4×D311yescharacteristic
309C4×Dic5C22×D311yescharacteristic
310C4×Dic5C22×D311yescharacteristic
311#529—151no—
312#446—151no—
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—51no—
323#405—151no—
324#405—151no—
325C4×M16—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—21no—
336C3×C4×C5—21no—
337C3×C4×C5—21no—
338Dic15—21no—
339Dic15—21no—
340Dic15—21no—
341C3×Dic5—21no—
342C3×Dic5—21no—
343C3×Dic5—21no—
344C3×Dic5C2×#4111yescharacteristic
345C3×Dic5C2×#4111yescharacteristic
346C5×Dic3—21no—
347C5×Dic3—21no—
348C5×Dic3—21no—
349C22×C3×C4—51no—
350C22×C3×C4—51no—
351C22×C3×C4C2×AGL(1,𝔽5)11yescharacteristic
352C2×#67—51no—
353C2×#67C2×AGL(1,𝔽5)11yescharacteristic
354C2×D12—51no—
355C2×C4×D3—51no—
356C2×C4×D3—51no—
357C2×Dic6—51no—
358C2×C3×C8—51no—
359C2×C3×C8—51no—
360C2×C3×C8—51no—
361C2×C3×C8—51no—
362C3×C42—51no—
363C3×C42—51no—
364C3×C42—51no—
365C3×C42—51no—
366#217—51no—
367#217C2×AGL(1,𝔽5)11yescharacteristic
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)⋊C4C2×AGL(1,𝔽5)11yescharacteristic
375(C2×D3)⋊C4C2×AGL(1,𝔽5)11yescharacteristic
376C4⋊Dic3—51no—
377C4⋊Dic3—51no—
378Dic3⋊C4—51no—
379Dic3⋊C4—51no—
380Dic3⋊C4—51no—
381Dic3⋊C4—51no—
382Dic3⋊C4—51no—
383Dic3⋊C4—51no—
384Dic3⋊C4C2×AGL(1,𝔽5)11yescharacteristic
385Dic3⋊C4C2×AGL(1,𝔽5)11yescharacteristic
386C4×Dic3—51no—
387C4×Dic3—51no—
388#208—102no—
389#208—102no—
390C2×C3⋊C8—51no—
391C2×C3⋊C8—51no—
392C2×C3⋊C8—51no—
393C2×C3⋊C8—51no—
394ΓL(1,𝔽25)—102no—
395ΓL(1,𝔽25)—102no—
396D3×C8—102no—
397D3×C8—102no—
398C23×C5—31no—
399C23×C5C2×C4×D311yescharacteristic
400C22×D5—31no—
401C5×D4—121no—
402C2×C4×C5—31no—
403C2×C4×C5—31no—
404C2×C4×C5—31no—
405C2×C4×C5—41no—
406C2×C4×C5C2×C4×D311yescharacteristic
407C2×C4×C5C2×C4×D311yescharacteristic
408C22⋊D5—121no—
409C22⋊D5—121no—
410C2×Dic5—21no—
411C2×Dic5—21no—
412C2×Dic5—31no—
413C2×Dic5—31no—
414C2×Dic5—31no—
415C2×Dic5—41no—
416C2×Dic5—61no—
417C2×Dic5—61no—
418C2×Dic5C2×C4×D311yescharacteristic
419C2×Dic5C2×C4×D311yescharacteristic
420C2×Dic5C2×C4×D311yescharacteristic
421C2×Dic5C23×D311yescharacteristic
422C4×D5—61no—
423C4×D5—61no—
424Dic10—121no—
425#170—21no—
426#170—21no—
427#170—21no—
428#170—21no—
429#170—32no—
430#170—32no—
431#170—61no—
432#170—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—31no—
444#123—151no—
445C22⋊Q8—151no—
446#121—151no—
447C4×Q8—151no—
448C4×D4—151no—
449C4×D4—151no—
450C4×D4—151no—
451#117—151no—
452#117—151no—
453C2×C42—51no—
454C4⋊C8—51no—
455C4⋊C8—51no—
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—51no—
467#97—51no—
468#97—151no—
469#97—151no—
470#97—151no—
471#97—151no—
472C4×C8—151no—
473C4×C8—151no—
474C4×C8—151no—
475C4×C8—151no—
476C2×C3×C5—41no—
477C2×C3×C5C4×#4111yescharacteristic
478C2×C3×C5#56811yescharacteristic
479C2×C3×C5#56811yescharacteristic
480D15—41no—
481C5×D3—41no—
482C23×C3C22×AGL(1,𝔽5)11yescharacteristic
483C22×D3—51no—
484C22×D3C22×AGL(1,𝔽5)11yescharacteristic
485C2×C3×C4—41no—
486C2×C3×C4—51no—
487C2×C3×C4—51no—
488C2×C3×C4—51no—
489C2×C3×C4—51no—
490C2×C3×C4—101no—
491C2×C3×C4—101no—
492C2×C3×C4—201no—
493C2×C3×C4C22×AGL(1,𝔽5)11yescharacteristic
494C2×C3×C4C22×AGL(1,𝔽5)11yescharacteristic
495#67—41no—
496#67—201no—
497C2×Dic3—51no—
498C2×Dic3—51no—
499C2×Dic3—51no—
500C2×Dic3C22×AGL(1,𝔽5)11yescharacteristic
501C2×Dic3C22×AGL(1,𝔽5)11yescharacteristic
502C2×Dic3C22×AGL(1,𝔽5)11yescharacteristic
503D12—201no—
504C4×D3—101no—
505C4×D3—101no—
506C4×D3—101no—
507C4×D3—101no—
508Dic6—201no—
509C3×C8—101no—
510C3×C8—101no—
511C3×C8—101no—
512C3×C8—101no—
513C3⋊C8—52no—
514C3⋊C8—52no—
515C3⋊C8—101no—
516C3⋊C8—101no—
517C22×C5—21no—
518C22×C5—21no—
519C22×C5—21no—
520C22×C5—61no—
521C22×C5—61no—
522C22×C5—61no—
523C22×C5C22×C4×D311yescharacteristic
524C2×D5—61no—
525C2×D5—61no—
526C2×D5—61no—
527C4×C5—21no—
528C4×C5—21no—
529C4×C5—61no—
530C4×C5—61no—
531C4×C5—61no—
532Dic5—21no—
533Dic5—21no—
534Dic5—21no—
535Dic5—61no—
536Dic5—61no—
537Dic5—61no—
538Dic5D3×#4111yescharacteristic
539Dic5D3×#4111yescharacteristic
540C2×Q8—151no—
541C2×D4—31no—
542C2×D4—151no—
543C2×D4—151no—
544C22×C4—51no—
545C22×C4—51no—
546C22×C4—151no—
547C22×C4—151no—
548C22×C4D3×AGL(1,𝔽5)11yescharacteristic
549M16—302no—
550M16—302no—
551M16—302no—
552M16—302no—
553C2×C8—51no—
554C2×C8—51no—
555C2×C8—51no—
556C2×C8—51no—
557C2×C8—151no—
558C2×C8—151no—
559C2×C8—151no—
560C2×C8—151no—
561C2×C8—302no—
562C2×C8—302no—
563C4⋊C4—31no—
564C4⋊C4—31no—
565C4⋊C4—151no—
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—31no—
576C22⋊C4—151no—
577C22⋊C4—151no—
578C22⋊C4—151no—
579C22⋊C4—151no—
580C22⋊C4—151no—
581C22⋊C4—151no—
582C22⋊C4—151no—
583C42—51no—
584C42—51no—
585C42—51no—
586C42—51no—
587C42—151no—
588C42—151no—
589C3×C5#296711yescharacteristic, complemented, Hall
590C22×C3—21no—
591C22×C3—21no—
592C22×C3—21no—
593C22×C3C23×AGL(1,𝔽5)11yescharacteristic
594C2×D3—21no—
595C2×D3—21no—
596C2×D3—21no—
597C2×D3—101no—
598C2×D3—101no—
599C2×D3—101no—
600C3×C4—21no—
601C3×C4—21no—
602C3×C4—51no—
603C3×C4—51no—
604C3×C4—101no—
605C3×C4—101no—
606C3×C4—101no—
607Dic3—21no—
608Dic3—21no—
609Dic3—21no—
610Dic3—101no—
611Dic3—101no—
612Dic3—101no—
613C2×C5—41no—
614C2×C5—121no—
615C2×C5#552211yescharacteristic
616C2×C5#574511yescharacteristic
617C2×C5#574511yescharacteristic
618D5—121no—
619C23—31no—
620C23—151no—
621C23C2×D3×AGL(1,𝔽5)11yescharacteristic
622Q8—601no—
623D4—121no—
624D4—601no—
625D4—601no—
626C2×C4—31no—
627C2×C4—31no—
628C2×C4—31no—
629C2×C4—41no—
630C2×C4—51no—
631C2×C4—51no—
632C2×C4—51no—
633C2×C4—51no—
634C2×C4—101no—
635C2×C4—101no—
636C2×C4—151no—
637C2×C4—151no—
638C2×C4—151no—
639C2×C4—201no—
640C2×C4—301no—
641C2×C4—301no—
642C2×C4—301no—
643C2×C4—301no—
644C2×C4C2×D3×AGL(1,𝔽5)11yescharacteristic
645C2×C4C2×D3×AGL(1,𝔽5)11yescharacteristic
646C8—101no—
647C8—101no—
648C8—101no—
649C8—101no—
650C8—152no—
651C8—152no—
652C8—301no—
653C8—301no—
654C2×C3—41no—
655C2×C3#6625611yescharacteristic
656C2×C3#6626411yescharacteristic
657C2×C3#41×AGL(1,𝔽5)11yescharacteristic
658D3—41no—
659D3—201no—
660C5#7932611yescharacteristic, complemented, Sylow
661C22—21no—
662C22—21no—
663C22—21no—
664C22—61no—
665C22—61no—
666C22—61no—
667C22—301no—
668C22—301no—
669C22—301no—
670C22C22×D3×AGL(1,𝔽5)11yescharacteristic
671C4—21no—
672C4—21no—
673C4—51no—
674C4—51no—
675C4—61no—
676C4—61no—
677C4—61no—
678C4—101no—
679C4—101no—
680C4—101no—
681C4—301no—
682C4—301no—
683C4—301no—
684C3#1061729311yescharacteristic, complemented, Sylow
685C2—41no—
686C2—121no—
687C2—601no—
688C2#1175682111yescharacteristic
689C2#1175683511yescharacteristic
690C2#1175686311yescharacteristic
subgroupG/H
center, FrattiniC22C22×D3×AGL(1,𝔽5)
commutator, socleC22×C3×C5C23×C4
FittingC22×C3×C4×C5C2×C4
prime radical#91566C4
cosocleC2×C3×Dic5C24
hypercenterC22×C4D3×AGL(1,𝔽5)
hypocenterC3×C5#2967
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C22×C4

Complements

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

NH ≅ G/Ntype
2. C4×#6762C2semidirect
3. C3×#65759C2semidirect
4. #11752041C2semidirect
5. #11752039C2semidirect
6. #11751992C2semidirect
7. #11751991C2semidirect
8. #11751889C2semidirect
9. #11751888C2semidirect
10. #11751874C2semidirect
11. #11751870C2semidirect
12. #11751810C2semidirect
13. #11751809C2semidirect
14. #11751766C2semidirect
15. #11751765C2semidirect
64. #65759D3semidirect
589. C3×C5#2967semidirect
660. C5#79326semidirect
684. C3#10617293semidirect

Maximal subgroups

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

subgroupindex
#117544092
C4×#67622
C3×#657592
#117520412
#117520392
#117519922
#117519912
#117518892
#117518882
#117518742
#117518702
#117518102
#117518092
#117517662
#117517652
#106172933
#793265