Finite Group Databasebeta

← #14224373

Subgroups — #14224373

Order 1792.

2394 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90482C212yesmaximal, complemented
2C22×C7×C22⋊C8C211yesmaximal, characteristic, complemented
3#11741187C214yesmaximal, complemented
4#11736063C214yesmaximal, complemented
5#11736062C211yesmaximal, characteristic, complemented
6#11736059C214yesmaximal, complemented
7#11736058C214yesmaximal, complemented
8#11736057C212yesmaximal, complemented
9#11736056C211yesmaximal, characteristic, complemented
10#11736055C214yesmaximal, complemented
11#11736036C214yesmaximal, complemented
12C24×C4×C7C2211yescharacteristic
13C22×#1157C2212yescomplemented
14C23×C7×C8C2212yescomplemented
15C2×#6516—22no—
16#90482—22no—
17#90482—22no—
18#90482—22no—
19#90482—22no—
20#90482C2214yes—
21#90482C2214yes—
22#90482C2214yescomplemented
23#90482C2214yescomplemented
24C2×#6493C2212yes—
25C2×#6493C2212yescomplemented
26C2×#6492—22no—
27C2×C4×C22⋊D7—22no—
28C2×C4×C22⋊D7—22no—
29C2×#6489C2212yescomplemented
30C2×#6487C2212yes—
31C2×#6487C2212yescomplemented
32C2×#6467C2214yescomplemented
33C2×C7×C22⋊C8C2211yescharacteristic
34C2×C7×C22⋊C8C2211yescharacteristic
35C2×C7×C22⋊C8C2214yescomplemented
36C2×C7×C22⋊C8C2214yescomplemented
37C2×C7×C22⋊C8C2212yescomplemented
38#89888C2214yescomplemented
39#89888C2214yescomplemented
40#89887C2214yescomplemented
41#89887C2214yescomplemented
42#89886C2218yescomplemented
43#89886C2218yescomplemented
44#89885C2218yescomplemented
45#89878C2214yescomplemented
46#89511C2214yescomplemented
47#89510C2214yescomplemented
48#89509C2218yescomplemented
49#89508C2214yescomplemented
50#89507C2214yescomplemented
51#89506C2218yescomplemented
52#89505C2218yescomplemented
53#89504C2214yescomplemented
54#89503C2214yescomplemented
55#89495C2218yescomplemented
56#89494C2214yescomplemented
57#89493C2214yescomplemented
58#60734—71nomaximal, Sylow
59C25×C7D411yescharacteristic
60C23×C4×C7—44no—
61C23×C4×C7D411yescharacteristic
62C23×C4×C7D412yes—
63C23×C4×C7D412yes—
64C23×C4×C7D411yescharacteristic
65C23×C4×C7D411yescharacteristic
66C23×C4×C7C2312yes—
67C23×C4×C7C2311yescharacteristic
68C23×C4×C7C2311yescharacteristic
69C23×C4×C7C2312yes—
70C23×C4×C7C2311yescharacteristic
71C22×C22⋊D7—22no—
72C22×C22⋊D7—22no—
73C22×C22⋊D7—22no—
74C2×#1157—22no—
75C2×#1157—22no—
76C2×#1157—48no—
77C2×#1157C2314yes—
78C2×#1157C2314yes—
79C22×D28C2312yes—
80C22×C4×D7—22no—
81C22×Dic14C2312yes—
82C22×C7×C8—44no—
83C22×C7×C8C2314yes—
84C22×C7×C8C2312yes—
85C22×C7×C8C2314yes—
86C22×C7×C8C2312yes—
87#6516—24no—
88#6516—24no—
89#6516—24no—
90#6516—24no—
91C2×C22⋊Dic7—22no—
92C2×C22⋊Dic7—22no—
93C2×C22⋊Dic7—22no—
94#6493—22no—
95#6493—22no—
96#6493—22no—
97#6493—22no—
98#6493C2314yes—
99#6493C2314yes—
100#6493C2314yes—
101#6493C2314yes—
102#6492—24no—
103#6492—24no—
104#6492—24no—
105#6492—24no—
106C4×C22⋊D7—24no—
107C4×C22⋊D7—24no—
108C4×C22⋊D7—24no—
109C4×C22⋊D7—24no—
110C4×C22⋊D7—24no—
111C4×C22⋊D7—24no—
112C4×C22⋊D7—24no—
113C4×C22⋊D7—24no—
114C2×(C2×D7)⋊C4—22no—
115C2×(C2×D7)⋊C4—22no—
116#6489—22no—
117#6489—22no—
118#6489C2314yes—
119#6489C2314yes—
120C2×C4⋊Dic7C2312yes—
121C2×C4⋊Dic7C2312yes—
122#6487—22no—
123#6487—22no—
124#6487—22no—
125#6487—22no—
126#6487C2314yes—
127#6487C2314yes—
128#6487C2314yes—
129#6487C2314yes—
130C2×Dic7⋊C4—22no—
131C2×Dic7⋊C4—22no—
132C2×C4×Dic7—22no—
133C2×Dic28C2314yescomplemented
134#6467—48no—
135C2×D56C2314yescomplemented
136C2×#1132C2318yescomplemented
137C7×C22⋊C8C2314yes—
138C7×C22⋊C8C2314yes—
139C7×C22⋊C8C2318yes—
140#6395C2318yescomplemented
141#6395C2318yescomplemented
142#6392C2314yescomplemented
143#6392C2314yescomplemented
144#6391C2318yescomplemented
145#6390C2318yescomplemented
146#6390C2318yescomplemented
147C2×#525—72no—
148#3191—74no—
149#3190—74no—
150#3189—71no—
151#3188—74no—
152#3187—72no—
153#3186—71no—
154#3091—74no—
155#3050—74no—
156#3002—74no—
157C22×C22⋊C8D711yescharacteristic, complemented
158C24×C7—24no—
159C24×C7—42no—
160C24×C7—42no—
161C24×C7C2×D411yescharacteristic
162C24×C7C2×D412yes—
163C24×C7C2×D412yes—
164C24×C7C2×D411yescharacteristic
165C24×C7C2×D411yescharacteristic
166C23×D7—22no—
167C22×C4×C7—24no—
168C22×C4×C7—28no—
169C22×C4×C7—42no—
170C22×C4×C7—44no—
171C22×C4×C7—42no—
172C22×C4×C7—42no—
173C22×C4×C7—44no—
174C22×C4×C7—42no—
175C22×C4×C7—42no—
176C22×C4×C7—44no—
177C22×C4×C7C2×D412yes—
178C22×C4×C7C2×D412yes—
179C22×C4×C7C2×D412yes—
180C22×C4×C7C2×D411yescharacteristic
181C22×C4×C7C2×D411yescharacteristic
182C22×C4×C7C2×D411yescharacteristic
183C22×C4×C7C2×D412yes—
184C22×C4×C7C2×D412yes—
185C22×C4×C7C2×D411yescharacteristic
186C22×C4×C7C2×D412yes—
187C22×C4×C7C2×D412yes—
188C22×C4×C7C2×D411yescharacteristic
189C22×C4×C7C2×D412yes—
190C22×C4×C7C2412yes—
191C22×C4×C7C2412yes—
192C22×C4×C7C2411yescharacteristic
193C22×C4×C7C2411yescharacteristic
194C22×C4×C7C2411yescharacteristic
195C2×C22⋊D7—24no—
196C2×C22⋊D7—24no—
197C2×C22⋊D7—24no—
198C2×C22⋊D7—24no—
199C2×C22⋊D7—24no—
200C2×C22⋊D7—24no—
201C2×C22⋊D7—48no—
202C2×C22⋊D7—48no—
203C2×C22⋊D7—48no—
204C22×Dic7—22no—
205C22×Dic7—22no—
206C22×Dic7—22no—
207#1157—216no—
208#1157—48no—
209#1157—48no—
210#1157—48no—
211C2×D28—22no—
212C2×D28—44no—
213C2×D28C2414yes—
214C2×C4×D7—24no—
215C2×C4×D7—24no—
216C2×C4×D7—48no—
217C2×Dic14—22no—
218C2×Dic14—44no—
219C2×Dic14C2414yes—
220C2×C7×C8—28no—
221C2×C7×C8—42no—
222C2×C7×C8—44no—
223C2×C7×C8—42no—
224C2×C7×C8C2414yes—
225C2×C7×C8C2414yes—
226C22⋊Dic7—24no—
227C22⋊Dic7—24no—
228C22⋊Dic7—24no—
229C22⋊Dic7—24no—
230C22⋊Dic7—24no—
231C22⋊Dic7—24no—
232(C2×D7)⋊C4—24no—
233(C2×D7)⋊C4—24no—
234(C2×D7)⋊C4—24no—
235(C2×D7)⋊C4—24no—
236C4⋊Dic7—22no—
237C4⋊Dic7—22no—
238C4⋊Dic7C2414yes—
239C4⋊Dic7C2414yes—
240Dic7⋊C4—24no—
241Dic7⋊C4—24no—
242Dic7⋊C4—24no—
243Dic7⋊C4—24no—
244C4×Dic7—24no—
245C4×Dic7—24no—
246Dic28—44no—
247D56—44no—
248#1132—48no—
249C22×#41—72no—
250C24×C4C2×D711yescharacteristic
251C2×#135—74no—
252C23×C8C2×D712yescomplemented
253#525—74no—
254#525—74no—
255#525—74no—
256#525—74no—
257#525—142no—
258#525—142no—
259#525—142no—
260#525—142no—
261C2×#123—142no—
262C2×C22⋊Q8—72no—
263C2×C22⋊Q8—72no—
264C2×#121—72no—
265C2×#121—72no—
266C2×#120—142no—
267C2×C4×D4—142no—
268C2×C4×D4—142no—
269C2×#117—72no—
270#485—78no—
271#484—74no—
272#483—74no—
273#482—78no—
274#481—74no—
275#480—74no—
276#467—74no—
277#467—74no—
278#466—74no—
279#466—74no—
280#465—78no—
281#465—78no—
282#452—78no—
283#451—74no—
284#450—74no—
285#449—78no—
286#448—74no—
287#447—74no—
288#427—74no—
289#416—78no—
290C2×C22⋊C8C2×D711yescharacteristic
291C2×C22⋊C8C2×D711yescharacteristic
292C2×C22⋊C8C2×D714yescomplemented
293C2×C22⋊C8C2×D714yescomplemented
294C2×C22⋊C8C2×D712yescomplemented
295C23×C7—22no—
296C23×C7—22no—
297C23×C7—22no—
298C23×C7—24no—
299C23×C7—24no—
300C23×C7—24no—
301C23×C7—22no—
302C23×C7—24no—
303C23×C7—41no—
304C23×C7—42no—
305C23×C7—41no—
306C23×C7—41no—
307C23×C7—42no—
308C23×C7—41no—
309C23×C7—416no—
310C23×C7#13514yescomplemented
311C23×C7C22×D412yes—
312C23×C7C22×D411yescharacteristic
313C23×C7C22×D411yescharacteristic
314C23×C7C22×D412yes—
315C23×C7C22×D411yescharacteristic
316C22×D7—24no—
317C22×D7—44no—
318C22×D7—44no—
319C22×D7—44no—
320C2×C4×C7—24no—
321C2×C4×C7—22no—
322C2×C4×C7—24no—
323C2×C4×C7—24no—
324C2×C4×C7—22no—
325C2×C4×C7—22no—
326C2×C4×C7—22no—
327C2×C4×C7—22no—
328C2×C4×C7—24no—
329C2×C4×C7—24no—
330C2×C4×C7—41no—
331C2×C4×C7—42no—
332C2×C4×C7—42no—
333C2×C4×C7—42no—
334C2×C4×C7—41no—
335C2×C4×C7—42no—
336C2×C4×C7—42no—
337C2×C4×C7C22×D412yes—
338C2×C4×C7C22×D411yescharacteristic
339C2×C4×C7C22×D411yescharacteristic
340C2×C4×C7C22×D412yes—
341C2×C4×C7C22×D411yescharacteristic
342C2×C4×C7H(5,𝔽2)14yes—
343C2×C4×C7C2511yescharacteristic
344C22⋊D7—48no—
345C22⋊D7—48no—
346C22⋊D7—48no—
347C22⋊D7—48no—
348C22⋊D7—48no—
349C22⋊D7—48no—
350C2×Dic7—24no—
351C2×Dic7—24no—
352C2×Dic7—24no—
353C2×Dic7—44no—
354C2×Dic7—44no—
355C2×Dic7—44no—
356D28—28no—
357D28—44no—
358C4×D7—48no—
359C4×D7—48no—
360Dic14—28no—
361Dic14—44no—
362C7×C8—24no—
363C7×C8—24no—
364C25D2811yescharacteristic
365C2×#41—74no—
366C2×#41—74no—
367C2×#41—142no—
368C2×#41—142no—
369C2×#41—288no—
370C22×Q8—72no—
371C22×D4—72no—
372C22×D4—142no—
373C22×D4—142no—
374C22×D4—142no—
375C23×C4—44no—
376C23×C4—142no—
377C23×C4D2811yescharacteristic
378C23×C4D2812yes—
379C23×C4D2812yes—
380C23×C4D2811yescharacteristic
381C23×C4D2811yescharacteristic
382C23×C4C22×D712yes—
383C23×C4C22×D711yescharacteristic
384C23×C4C22×D711yescharacteristic
385C23×C4C22×D712yes—
386C23×C4C22×D711yescharacteristic
387#135—288no—
388C2×Q16—74no—
389C2×SD16—78no—
390C2×D8—74no—
391C22×C8—44no—
392C22×C8C22×D714yes—
393C22×C8C22×D712yes—
394C22×C8C22×D712yes—
395C22×C8C22×D714yes—
396#123—144no—
397#123—144no—
398#123—144no—
399#123—144no—
400C22⋊Q8—74no—
401C22⋊Q8—74no—
402C22⋊Q8—74no—
403C22⋊Q8—74no—
404C22⋊Q8—142no—
405C22⋊Q8—142no—
406C22⋊Q8—142no—
407C22⋊Q8—142no—
408#121—74no—
409#121—74no—
410#121—74no—
411#121—74no—
412#121—142no—
413#121—142no—
414#121—142no—
415#121—142no—
416#120—144no—
417#120—144no—
418#120—144no—
419#120—144no—
420C4×D4—144no—
421C4×D4—144no—
422C4×D4—144no—
423C4×D4—144no—
424C4×D4—144no—
425C4×D4—144no—
426C4×D4—144no—
427C4×D4—144no—
428#117—74no—
429#117—74no—
430#117—142no—
431#117—142no—
432C2×C4⋊C4—72no—
433C2×C4⋊C4—72no—
434C2×C4⋊C4—142no—
435C2×C4⋊C4—142no—
436C2×C22⋊C4—142no—
437C2×C22⋊C4—142no—
438C2×C22⋊C4—142no—
439C2×C22⋊C4—142no—
440C2×C22⋊C4—142no—
441C2×C42—142no—
442#107—74no—
443#107—74no—
444#106—78no—
445#103—78no—
446#103—78no—
447#102—78no—
448#102—78no—
449C22⋊C8C22×D714yes—
450C22⋊C8C22×D714yes—
451C22⋊C8C22×D718yes—
452C22×C7—28no—
453C22×C7—22no—
454C22×C7—21no—
455C22×C7—21no—
456C22×C7—21no—
457C22×C7—21no—
458C22×C7—22no—
459C22×C7—21no—
460C22×C7—21no—
461C22×C7—22no—
462C22×C7—22no—
463C22×C7—22no—
464C22×C7—44no—
465C22×C7—48no—
466C22×C7—48no—
467C22×C7—44no—
468C22×C7#53412yes—
469C22×C7C2×#13514yes—
470C22×C7C2×#13512yes—
471C22×C7#57512yes—
472C22×C7C23×D411yescharacteristic
473C2×D7—44no—
474C2×D7—44no—
475C2×D7—44no—
476C2×D7—88no—
477C4×C7—22no—
478C4×C7—22no—
479C4×C7—21no—
480C4×C7—21no—
481C4×C7#53412yes—
482C4×C7C2×H(5,𝔽2)12yes—
483Dic7—44no—
484Dic7—44no—
485Dic7—44no—
486C24—24no—
487C24—42no—
488C24—42no—
489C24—142no—
490C24C2×D2811yescharacteristic
491C24C2×D2812yes—
492C24C2×D2812yes—
493C24C2×D2811yescharacteristic
494C24C2×D2811yescharacteristic
495#41—1416no—
496#41—288no—
497#41—288no—
498#41—288no—
499C2×Q8—74no—
500C2×Q8—142no—
501C2×Q8—284no—
502C2×D4—74no—
503C2×D4—144no—
504C2×D4—144no—
505C2×D4—144no—
506C2×D4—144no—
507C2×D4—144no—
508C2×D4—144no—
509C2×D4—142no—
510C2×D4—284no—
511C2×D4—288no—
512C2×D4—288no—
513C2×D4—288no—
514C22×C4—24no—
515C22×C4—28no—
516C22×C4—42no—
517C22×C4—44no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—44no—
521C22×C4—42no—
522C22×C4—44no—
523C22×C4—42no—
524C22×C4—142no—
525C22×C4—142no—
526C22×C4—142no—
527C22×C4—144no—
528C22×C4—144no—
529C22×C4—288no—
530C22×C4C2×D2812yes—
531C22×C4C2×D2811yescharacteristic
532C22×C4C2×D2812yes—
533C22×C4C2×D2812yes—
534C22×C4C2×D2811yescharacteristic
535C22×C4C2×D2811yescharacteristic
536C22×C4C2×D2812yes—
537C22×C4C2×D2812yes—
538C22×C4C2×D2811yescharacteristic
539C22×C4C2×D2812yes—
540C22×C4C2×D2812yes—
541C22×C4C2×D2811yescharacteristic
542C22×C4C2×D2812yes—
543C22×C4C23×D712yes—
544C22×C4C23×D712yes—
545C22×C4C23×D711yescharacteristic
546C22×C4C23×D711yescharacteristic
547C22×C4C23×D711yescharacteristic
548Q16—284no—
549SD16—288no—
550D8—284no—
551C2×C8—28no—
552C2×C8—42no—
553C2×C8—44no—
554C2×C8—42no—
555C2×C8C23×D714yes—
556C2×C8C23×D714yes—
557C4⋊C4—74no—
558C4⋊C4—74no—
559C4⋊C4—144no—
560C4⋊C4—144no—
561C4⋊C4—144no—
562C4⋊C4—144no—
563C4⋊C4—142no—
564C4⋊C4—142no—
565C22⋊C4—144no—
566C22⋊C4—144no—
567C22⋊C4—144no—
568C22⋊C4—144no—
569C22⋊C4—144no—
570C22⋊C4—144no—
571C22⋊C4—144no—
572C22⋊C4—144no—
573C22⋊C4—144no—
574C22⋊C4—144no—
575C42—144no—
576C42—144no—
577C2×C7—24no—
578C2×C7—22no—
579C2×C7—22no—
580C2×C7—22no—
581C2×C7—42no—
582C2×C7C2×#53411yescharacteristic
583C2×C7C22×#13511yescharacteristic
584C2×C7C2×#57511yescharacteristic
585D7—84no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—24no—
590C23—24no—
591C23—22no—
592C23—24no—
593C23—24no—
594C23—41no—
595C23—42no—
596C23—41no—
597C23—41no—
598C23—42no—
599C23—41no—
600C23—416no—
601C23—144no—
602C23—284no—
603C23—284no—
604C23—284no—
605C23#646714yescomplemented
606C23C22×D2812yes—
607C23C22×D2811yescharacteristic
608C23C22×D2812yes—
609C23C22×D2811yescharacteristic
610C23C22×D2811yescharacteristic
611Q8—148no—
612Q8—284no—
613D4—148no—
614D4—284no—
615D4—288no—
616D4—288no—
617D4—288no—
618D4—288no—
619D4—288no—
620D4—288no—
621C2×C4—22no—
622C2×C4—24no—
623C2×C4—24no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—24no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—41no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—41no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—144no—
639C2×C4—144no—
640C2×C4—144no—
641C2×C4—288no—
642C2×C4—284no—
643C2×C4—284no—
644C2×C4—284no—
645C2×C4—288no—
646C2×C4C22×D2812yes—
647C2×C4C22×D2811yescharacteristic
648C2×C4C22×D2811yescharacteristic
649C2×C4C22×D2812yes—
650C2×C4C22×D2811yescharacteristic
651C2×C4#654814yes—
652C2×C4C24×D711yescharacteristic
653C8—24no—
654C8—24no—
655C7#6073411yescharacteristic, complemented, Sylow
656C22—28no—
657C22—22no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—22no—
663C22—21no—
664C22—21no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—44no—
669C22—48no—
670C22—48no—
671C22—44no—
672C22—284no—
673C22—284no—
674C22—284no—
675C22—568no—
676C22#9018412yes—
677C22C2×#646714yes—
678C22C2×#646712yes—
679C22#9043912yes—
680C22C23×D2811yescharacteristic
681C4—22no—
682C4—22no—
683C4—21no—
684C4—21no—
685C4—284no—
686C4—284no—
687C4—284no—
688C4#9018412yes—
689C4C2×#654812yes—
690C2—22no—
691C2—22no—
692C2—22no—
693C2—24no—
694C2—42no—
695C2—564no—
696C2C2×#9018411yescharacteristic
697C2C22×#646711yescharacteristic
698C2C2×#9043911yescharacteristic
subgroupG/H
centerC2×C4C22×D28
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC22×C7×C22⋊C8C2
socleC22×C7C23×D4
hypercenterC22×C22⋊C8D7
hypocenterC7#60734
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C2×C4 ◁ C24×C4 ◁ C22×C22⋊C8

Complements

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

NH ≅ G/Ntype
1. C2×#90482C2semidirect
2. C22×C7×C22⋊C8C2semidirect
3. #11741187C2semidirect
4. #11736063C2semidirect
5. #11736062C2semidirect
6. #11736059C2semidirect
7. #11736058C2semidirect
8. #11736057C2semidirect
9. #11736056C2semidirect
10. #11736055C2semidirect
11. #11736036C2semidirect
13. C22×#1157C22semidirect
14. C23×C7×C8C22semidirect
22. #90482C22semidirect
23. #90482C22semidirect
25. C2×#6493C22semidirect
29. C2×#6489C22semidirect
31. C2×#6487C22semidirect
32. C2×#6467C22semidirect
35. C2×C7×C22⋊C8C22semidirect
36. C2×C7×C22⋊C8C22semidirect
37. C2×C7×C22⋊C8C22semidirect
38. #89888C22semidirect
39. #89888C22semidirect
40. #89887C22semidirect
41. #89887C22semidirect
42. #89886C22semidirect
43. #89886C22semidirect
44. #89885C22semidirect
45. #89878C22semidirect
46. #89511C22semidirect
47. #89510C22semidirect
48. #89509C22semidirect
49. #89508C22semidirect
50. #89507C22semidirect
51. #89506C22semidirect
52. #89505C22semidirect
53. #89504C22semidirect
54. #89503C22semidirect
55. #89495C22semidirect
56. #89494C22semidirect
57. #89493C22semidirect
133. C2×Dic28C23semidirect
135. C2×D56C23semidirect
136. C2×#1132C23semidirect
140. #6395C23semidirect
141. #6395C23semidirect
142. #6392C23semidirect
143. #6392C23semidirect
144. #6391C23semidirect
145. #6390C23semidirect
146. #6390C23semidirect
157. C22×C22⋊C8D7semidirect
252. C23×C8C2×D7semidirect
292. C2×C22⋊C8C2×D7semidirect
293. C2×C22⋊C8C2×D7semidirect
294. C2×C22⋊C8C2×D7semidirect
310. C23×C7#135semidirect
605. C23#6467semidirect
655. C7#60734semidirect

Maximal subgroups

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

subgroupindex
C2×#904822
C22×C7×C22⋊C82
#117411872
#117360632
#117360622
#117360592
#117360582
#117360572
#117360562
#117360552
#117360362
#607347