Finite Group Databasebeta

← C2×#24918249 #36274961

Subgroups — C2×#24918249 #36274961

Order 21248.

2374 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128214C211yesmaximal, characteristic
2C22×#14581772C211yesmaximal, characteristic, complemented
3#24918249C2116yesmaximal, direct product factor
4C2×#19128045C212yesmaximal, complemented
5C2×#19128014C211yesmaximal, characteristic, complemented
6C2×#19127941C212yesmaximal, complemented
7C2×#19127931C212yesmaximal, complemented
8C2×#19127866C212yesmaximal, complemented
9C2×#19127856C211yesmaximal, characteristic, complemented
10C2×#19127842C211yesmaximal, characteristic, complemented
11C2×C22⋊C8×D83C211yesmaximal, characteristic, complemented
12C2×#483×C83C211yesmaximal, characteristic, complemented
13C22×#13050591C2211yescharacteristic
14C23×Dic166C2211yescharacteristic
15C23×C4×D83C2211yescharacteristic
16C22×#13050580C2212yescomplemented
17C22×#13050579C2212yescomplemented
18C22×C8×D83C2212yes—
19#19128214—24no—
20#19128214C2218yes—
21C2×#14581777—21no—
22C2×#14581772—24no—
23C2×#14581772—21no—
24C2×#14581772—21no—
25C2×#14581772C2212yes—
26C2×#14581772C2212yes—
27C2×#14581772C2218yescomplemented
28C2×#14581768C2211yescharacteristic
29C2×#14581767C2211yescharacteristic
30C2×#14581766C2211yescharacteristic
31C2×#14581762—21no—
32C2×#14581754—21no—
33C2×(C22⋊D83)⋊C4—21no—
34C2×#14581750C2211yescharacteristic
35C22×C4⋊Dic83—21no—
36C22×(C2×D83)⋊C4—21no—
37#19128045C22116yescomplemented
38#19128014C2218yescomplemented
39#19127941C22116yescomplemented
40#19127931C22116yescomplemented
41#19127866C22116yescomplemented
42#19127856C2218yescomplemented
43#19127842C2218yescomplemented
44C2×#14581725C2212yescomplemented
45C2×#14581717C2212yescomplemented
46C2×#14581715C2212yescomplemented
47C2×#14581712C2212yescomplemented
48C2×C22⋊(C83⋊C8)C2211yescharacteristic
49C2×(C2×D83)⋊C8C2212yes—
50C22⋊C8×D83C2218yescomplemented
51C2×C22⋊Q8×C83C2211yescharacteristic
52C22×C4⋊C4×C83C2211yescharacteristic
53#483×C83C2218yescomplemented
54C2×#106×C83C2212yescomplemented
55C2×#103×C83C2212yescomplemented
56C2×C22⋊C8×C83C2211yescharacteristic
57C24×D83D411yescharacteristic
58C2×#13050591—22no—
59C2×#13050591—44no—
60C2×#13050591C2314yes—
61C22×Dic166—22no—
62C22×Dic166—21no—
63C22×Dic166—44no—
64C22×Dic166C2312yes—
65C22×Dic166C2314yes—
66C22×D332—21no—
67C22×D332—21no—
68C22×D332C2311yescharacteristic
69C22×C22⋊D83—21no—
70C23×Dic83—21no—
71C23×Dic83D411yescharacteristic
72C22×C4×D83—21no—
73C22×C4×D83—44no—
74C22×C4×D83D411yescharacteristic
75C22×C4×D83D411yescharacteristic
76C22×C4×D83D414yes—
77C22×C4×D83C2311yescharacteristic
78C22×C4×D83C2311yescharacteristic
79C22×C4×D83C2314yes—
80C2×#13050580—44no—
81C2×#13050580C2318yescomplemented
82C2×#13050579—44no—
83C2×#13050579C2318yescomplemented
84C22×C83⋊C8C2312yes—
85C2×C8×D83—44no—
86C2×C8×D83C2318yes—
87#14581777—28no—
88#14581772—24no—
89#14581772—24no—
90#14581772—28no—
91#14581772—28no—
92#14581772C2318yes—
93#14581772C2318yes—
94#14581768—22no—
95#14581768C2314yes—
96#14581767—22no—
97#14581767C2314yes—
98#14581766—22no—
99#14581766C2314yes—
100#14581762—28no—
101#14581754—28no—
102(C22⋊D83)⋊C4—28no—
103#14581750—22no—
104#14581750C2314yes—
105C2×C4⋊Dic83—22no—
106C2×C4⋊Dic83—22no—
107C2×C4⋊Dic83—28no—
108C2×C4⋊Dic83C2311yescharacteristic
109C2×Dic83⋊C4—21no—
110C2×(C2×D83)⋊C4—22no—
111C2×(C2×D83)⋊C4—22no—
112C2×(C2×D83)⋊C4—28no—
113C2×(C2×D83)⋊C4—21no—
114C2×(C2×D83)⋊C4—21no—
115C2×(C2×D83)⋊C4—21no—
116C2×(C2×D83)⋊C4—21no—
117C2×C4×Dic83—21no—
118#14581725C2318yescomplemented
119#14581717C2318yescomplemented
120#14581715C2318yescomplemented
121#14581712C2318yescomplemented
122C22⋊(C83⋊C8)C2314yes—
123(C2×D83)⋊C8C2318yes—
124C22×Q8×C83C2311yescharacteristic
125C23×C4×C83—21no—
126C23×C4×C83C2311yescharacteristic
127C22×C8×C83C2312yes—
128C22⋊Q8×C83—22no—
129C22⋊Q8×C83C2314yes—
130C2×C4⋊C4×C83—22no—
131C2×C4⋊C4×C83—21no—
132C2×C4⋊C4×C83—21no—
133C2×C4⋊C4×C83C2314yes—
134C2×C4⋊C4×C83C2312yes—
135C2×C4⋊C4×C83C2311yescharacteristic
136C2×C22⋊C4×C83—21no—
137#106×C83C2318yescomplemented
138#103×C83C2318yescomplemented
139C22⋊C8×C83C2314yes—
140C23×D83—24no—
141C23×D83—24no—
142C23×D83—21no—
143C23×D83—42no—
144C23×D83C2×D411yescharacteristic
145C23×D83C2×D414yes—
146C23×D83C2×D411yescharacteristic
147#13050591—48no—
148#13050591—48no—
149C2×Dic166—24no—
150C2×Dic166—24no—
151C2×Dic166—24no—
152C2×Dic166—22no—
153C2×Dic166—48no—
154C2×Dic166—44no—
155C2×Dic166—48no—
156C2×Dic166C2414yes—
157C2×D332—24no—
158C2×D332—24no—
159C2×D332—24no—
160C2×D332—21no—
161C2×D332—44no—
162C2×D332—44no—
163C2×D332C2412yes—
164C2×C22⋊D83—24no—
165C2×C22⋊D83—44no—
166C22×Dic83—24no—
167C22×Dic83—22no—
168C22×Dic83—21no—
169C22×Dic83—42no—
170C22×Dic83—44no—
171C22×Dic83C2×D411yescharacteristic
172C22×Dic83C2×D411yescharacteristic
173C22×Dic83C2×D414yes—
174C2×C4×D83—24no—
175C2×C4×D83—24no—
176C2×C4×D83—24no—
177C2×C4×D83—48no—
178C2×C4×D83—48no—
179C2×C4×D83—42no—
180C2×C4×D83—42no—
181C2×C4×D83—44no—
182C2×C4×D83C2×D412yes—
183C2×C4×D83C2×D412yes—
184C2×C4×D83C2×D414yes—
185C2×C4×D83C2×D414yes—
186C2×C4×D83C2412yes—
187C2×C4×D83C2412yes—
188#13050580—48no—
189#13050579—48no—
190C2×C83⋊C8—24no—
191C2×C83⋊C8C2414yes—
192C8×D83—48no—
193C4⋊Dic83—21no—
194C4⋊Dic83—28no—
195C4⋊Dic83—28no—
196C4⋊Dic83C2412yes—
197Dic83⋊C4—24no—
198(C2×D83)⋊C4—24no—
199(C2×D83)⋊C4—24no—
200(C2×D83)⋊C4—28no—
201(C2×D83)⋊C4—28no—
202(C2×D83)⋊C4—24no—
203(C2×D83)⋊C4—24no—
204C4×Dic83—24no—
205C24×C83C2×D411yescharacteristic
206C2×Q8×C83—21no—
207C2×Q8×C83—24no—
208C2×Q8×C83C2412yes—
209C22×C4×C83—24no—
210C22×C4×C83—21no—
211C22×C4×C83—21no—
212C22×C4×C83—24no—
213C22×C4×C83—22no—
214C22×C4×C83—44no—
215C22×C4×C83C2×D412yes—
216C22×C4×C83C2×D411yescharacteristic
217C22×C4×C83C2412yes—
218C22×C4×C83C2411yescharacteristic
219C2×C8×C83—24no—
220C2×C8×C83C2414yes—
221C4⋊C4×C83—21no—
222C4⋊C4×C83—24no—
223C4⋊C4×C83—22no—
224C4⋊C4×C83—24no—
225C4⋊C4×C83C2412yes—
226C4⋊C4×C83C2414yes—
227C22⋊C4×C83—24no—
228C23×C83—22no—
229C23×C83—22no—
230C23×C83#13514yes—
231C23×C83C22×D412yes—
232C23×C83C22×D411yescharacteristic
233C22×D83—22no—
234C22×D83—22no—
235C22×D83—22no—
236C22×D83—28no—
237C22×D83—22no—
238C22×D83—22no—
239C22×D83—28no—
240C22×D83—22no—
241C22×D83—44no—
242C22×D83—416no—
243C22×D83—42no—
244C22×D83—42no—
245C22×D83—42no—
246C22×D83#13714yes—
247C22×D83C22×D412yes—
248C22×D83C22×D412yes—
249Q8×C83—24no—
250Q8×C83—42no—
251C2×C4×C83—22no—
252C2×C4×C83—24no—
253C2×C4×C83—24no—
254C2×C4×C83—22no—
255C2×C4×C83—22no—
256C2×C4×C83—24no—
257C2×C4×C83—42no—
258C2×C4×C83—48no—
259C2×C4×C83—44no—
260C2×C4×C83—42no—
261C2×C4×C83C22×D412yes—
262C2×C4×C83C22×D411yescharacteristic
263C2×C4×C83H(5,𝔽2)14yes—
264C2×C4×C83C2511yescharacteristic
265C22⋊D83—48no—
266C2×Dic83—22no—
267C2×Dic83—22no—
268C2×Dic83—22no—
269C2×Dic83—24no—
270C2×Dic83—44no—
271C2×Dic83—48no—
272C2×Dic83—44no—
273C2×Dic83—42no—
274C2×Dic83C22×D412yes—
275C2×Dic83C22×D412yes—
276D332—24no—
277D332—48no—
278D332—48no—
279D332—42no—
280C4×D83—24no—
281C4×D83—24no—
282C4×D83—24no—
283C4×D83—24no—
284C4×D83—44no—
285C4×D83—44no—
286C4×D83—48no—
287Dic166—24no—
288Dic166—24no—
289Dic166—48no—
290Dic166—44no—
291C8×C83—24no—
292C83⋊C8—24no—
293C22×C83—22no—
294C22×C83—28no—
295C22×C83—22no—
296C22×C83#53412yes—
297C22×C83C2×#13514yes—
298C22×C83C2×#13512yes—
299C22×C83C2×#13712yes—
300C22×C83C23×D411yescharacteristic
301C2×D83—22no—
302C2×D83—28no—
303C2×D83—22no—
304C2×D83—22no—
305C2×D83—22no—
306C2×D83—22no—
307C2×D83—416no—
308C2×D83—44no—
309C2×D83—42no—
310C2×D83—42no—
311C2×D83—42no—
312C2×D83—84no—
313C2×D83C2×#13714yes—
314C4×C83—22no—
315C4×C83—42no—
316C4×C83—44no—
317C4×C83—42no—
318C4×C83#53412yes—
319C4×C83C2×H(5,𝔽2)12yes—
320Dic83—22no—
321Dic83—22no—
322Dic83—44no—
323Dic83—42no—
324C2×#3190—831nomaximal, Sylow
325C2×C83—24no—
326C2×C83#319014yescomplemented
327C2×C83C2×#53411yescharacteristic
328C2×C83C22×#13511yescharacteristic
329C2×C83C22×#13711yescharacteristic
330D83—24no—
331D83—42no—
332D83—82no—
333C2×#525—831no—
334C22×C22⋊Q8—831no—
335#3190—8316no—
336C2×#485—832no—
337C2×#483D8311yescharacteristic, complemented
338C2×#480—831no—
339C2×#467—832no—
340C2×#465—832no—
341C2×#452—832no—
342C2×#451—831no—
343C2×#448—831no—
344C22×C22⋊C8—831no—
345C83C2×#319011yescharacteristic, complemented, Sylow
346C22×#41—831no—
347C23×Q8—831no—
348C24×C4—831no—
349C22×Q16—832no—
350C22×SD16—832no—
351C23×C8—832no—
352#525—838no—
353#525—1664no—
354C2×#123—1661no—
355C2×C22⋊Q8—831no—
356C2×C22⋊Q8—832no—
357C2×C22⋊Q8—838no—
358C2×C22⋊Q8—832no—
359C2×C22⋊Q8—1661no—
360C2×C22⋊Q8—1661no—
361C2×C22⋊Q8—1664no—
362C2×C22⋊Q8C2×D8311yescharacteristic
363C2×#121—831no—
364C2×#121—831no—
365C2×#120—1661no—
366C2×C4×D4—1661no—
367C2×C4×D4—1661no—
368C2×#117—831no—
369C22×C4⋊C4—1661no—
370C22×C4⋊C4C2×D8311yescharacteristic
371C22×C22⋊C4—1661no—
372#485—8316no—
373#483C2×D8318yescomplemented
374#480—838no—
375#467—8316no—
376#465—8316no—
377#452—8316no—
378#451—838no—
379#448—838no—
380C2×#107—832no—
381C2×#106C2×D8312yescomplemented
382C2×#103—832no—
383C2×#103—832no—
384C2×#103C2×D8312yescomplemented
385C2×#102—832no—
386C2×C22⋊C8—831no—
387C2×C22⋊C8—832no—
388C2×C22⋊C8—838no—
389C2×C22⋊C8C2×D8311yescharacteristic
390C25—831no—
391C2×#41—3324no—
392C2×#41—834no—
393C2×#41—1662no—
394C22×Q8—3324no—
395C22×Q8—834no—
396C22×Q8—832no—
397C22×Q8—1662no—
398C22×Q8—1661no—
399C22×Q8C22×D8311yescharacteristic
400C22×D4—831no—
401C22×D4—1661no—
402C22×D4—1661no—
403C22×D4—1661no—
404C23×C4—21no—
405C23×C4—3324no—
406C23×C4—831no—
407C23×C4—831no—
408C23×C4—831no—
409C23×C4—834no—
410C23×C4—834no—
411C23×C4—831no—
412C23×C4—831no—
413C23×C4—1661no—
414C23×C4—1661no—
415C23×C4C22×D8311yescharacteristic
416C2×Q16—3324no—
417C2×Q16—838no—
418C2×SD16—3324no—
419C2×SD16—838no—
420C22×C8—3324no—
421C22×C8—838no—
422C22×C8—832no—
423C22×C8C22×D8312yes—
424#123—1668no—
425C22⋊Q8—22no—
426C22⋊Q8—834no—
427C22⋊Q8—838no—
428C22⋊Q8—838no—
429C22⋊Q8—1668no—
430C22⋊Q8—1668no—
431C22⋊Q8—1664no—
432C22⋊Q8—1664no—
433C22⋊Q8—1662no—
434C22⋊Q8C22×D8314yes—
435#121—834no—
436#121—834no—
437#121—1662no—
438#121—1662no—
439#120—1668no—
440C4×D4—1668no—
441C4×D4—1668no—
442#117—834no—
443#117—1662no—
444C2×C4⋊C4—22no—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—831no—
448C2×C4⋊C4—1668no—
449C2×C4⋊C4—1662no—
450C2×C4⋊C4—1662no—
451C2×C4⋊C4—1661no—
452C2×C4⋊C4C22×D8312yes—
453C2×C4⋊C4C22×D8314yes—
454C2×C4⋊C4C22×D8311yescharacteristic
455C2×C22⋊C4—21no—
456C2×C22⋊C4—1661no—
457C2×C22⋊C4—1668no—
458C2×C22⋊C4—1662no—
459C2×C22⋊C4—1662no—
460C2×C22⋊C4—1661no—
461C2×C22⋊C4—1661no—
462C2×C22⋊C4—1661no—
463C2×C42—1661no—
464#107—838no—
465#106C22×D8318yescomplemented
466#103—838no—
467#103—838no—
468#103C22×D8318yescomplemented
469#102—838no—
470C22⋊C8—834no—
471C22⋊C8—838no—
472C22⋊C8C22×D8314yes—
473C24—3322no—
474C24—834no—
475C24—831no—
476C24—831no—
477C24—1664no—
478C24—1661no—
479C24—1664no—
480C24D4×D8311yescharacteristic
481#41—3328no—
482#41—3328no—
483C2×Q8—21no—
484C2×Q8—24no—
485C2×Q8—3324no—
486C2×Q8—3328no—
487C2×Q8—3328no—
488C2×Q8—834no—
489C2×Q8—1664no—
490C2×Q8—1664no—
491C2×Q8—1664no—
492C2×Q8—1662no—
493C2×Q8C23×D8312yes—
494C2×D4—3324no—
495C2×D4—3324no—
496C2×D4—3324no—
497C2×D4—832no—
498C2×D4—1664no—
499C2×D4—1664no—
500C2×D4—1664no—
501C2×D4—1661no—
502C2×D4—1664no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—22no—
508C22×C4—44no—
509C22×C4—3322no—
510C22×C4—3322no—
511C22×C4—3328no—
512C22×C4—3328no—
513C22×C4—3324no—
514C22×C4—3324no—
515C22×C4—3322no—
516C22×C4—834no—
517C22×C4—834no—
518C22×C4—834no—
519C22×C4—831no—
520C22×C4—831no—
521C22×C4—832no—
522C22×C4—832no—
523C22×C4—832no—
524C22×C4—832no—
525C22×C4—1664no—
526C22×C4—1664no—
527C22×C4—1661no—
528C22×C4—1662no—
529C22×C4—1664no—
530C22×C4—1664no—
531C22×C4D4×D8312yes—
532C22×C4D4×D8311yescharacteristic
533C22×C4C23×D8312yes—
534C22×C4C23×D8311yescharacteristic
535Q16—3328no—
536SD16—3328no—
537C2×C8—24no—
538C2×C8—3328no—
539C2×C8—834no—
540C2×C8—1664no—
541C2×C8C23×D8314yes—
542C4⋊C4—24no—
543C4⋊C4—22no—
544C4⋊C4—24no—
545C4⋊C4—21no—
546C4⋊C4—832no—
547C4⋊C4—1668no—
548C4⋊C4—1668no—
549C4⋊C4—1664no—
550C4⋊C4—1661no—
551C4⋊C4C23×D8314yes—
552C4⋊C4C23×D8312yes—
553C22⋊C4—24no—
554C22⋊C4—1664no—
555C22⋊C4—1668no—
556C22⋊C4—1668no—
557C22⋊C4—1664no—
558C22⋊C4—1664no—
559C22⋊C4—1664no—
560C42—1664no—
561C23—22no—
562C23—22no—
563C23—33216no—
564C23—3324no—
565C23—3322no—
566C23—3322no—
567C23—3322no—
568C23—834no—
569C23—832no—
570C23—832no—
571C23—1668no—
572C23—1662no—
573C23—1668no—
574C23—1662no—
575C23—1662no—
576C23—1662no—
577C23—1662no—
578C23—1662no—
579C23#1458181314yes—
580C23C2×D4×D8312yes—
581C23C2×D4×D8311yescharacteristic
582Q8—24no—
583Q8—42no—
584Q8—3328no—
585Q8—3324no—
586Q8—1664no—
587Q8—1664no—
588D4—3328no—
589D4—3328no—
590D4—3328no—
591D4—3322no—
592D4—1664no—
593C2×C4—22no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—24no—
599C2×C4—48no—
600C2×C4—44no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—3324no—
604C2×C4—3324no—
605C2×C4—3328no—
606C2×C4—3328no—
607C2×C4—3322no—
608C2×C4—3324no—
609C2×C4—3324no—
610C2×C4—832no—
611C2×C4—832no—
612C2×C4—1662no—
613C2×C4—1664no—
614C2×C4—1662no—
615C2×C4—1662no—
616C2×C4—1664no—
617C2×C4—1664no—
618C2×C4—1664no—
619C2×C4—1664no—
620C2×C4C2×D4×D8312yes—
621C2×C4C2×D4×D8311yescharacteristic
622C2×C4#1458183814yes—
623C2×C4C24×D8311yescharacteristic
624C8—24no—
625C8—1664no—
626C22—22no—
627C22—22no—
628C22—28no—
629C22—33216no—
630C22—3324no—
631C22—3322no—
632C22—3322no—
633C22—3322no—
634C22—834no—
635C22—6644no—
636C22—1662no—
637C22—1662no—
638C22—1662no—
639C22—1662no—
640C22—1662no—
641C22—1668no—
642C22#1912826212yes—
643C22C2×#1458181314yes—
644C22C2×#1458181312yes—
645C22#137×D8312yes—
646C22C22×D4×D8311yescharacteristic
647C4—22no—
648C4—44no—
649C4—42no—
650C4—42no—
651C4—3322no—
652C4—3324no—
653C4—1662no—
654C4—1662no—
655C4#1912826212yes—
656C4C2×#1458183812yes—
657C2—24no—
658C2—3322no—
659C2—6642no—
660C2—1664no—
661C2#2491824914yesdirect product factor
662C2C2×#1912826211yescharacteristic
663C2C22×#1458181311yescharacteristic
664C2C2×#137×D8311yescharacteristic
subgroupG/H
centerC23C2×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC2×#483×C83C2
socleC23×C83C22×D4
prime radicalC2×#19128214C2
hypercenterC2×#483D83
hypocenterC83C2×#3190
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#483

Complements

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

NH ≅ G/Ntype
2. C22×#14581772C2semidirect
3. #24918249C2direct (N × H)
4. C2×#19128045C2semidirect
5. C2×#19128014C2semidirect
6. C2×#19127941C2semidirect
7. C2×#19127931C2semidirect
8. C2×#19127866C2semidirect
9. C2×#19127856C2semidirect
10. C2×#19127842C2semidirect
11. C2×C22⋊C8×D83C2semidirect
12. C2×#483×C83C2semidirect
16. C22×#13050580C22semidirect
17. C22×#13050579C22semidirect
27. C2×#14581772C22semidirect
37. #19128045C22semidirect
38. #19128014C22semidirect
39. #19127941C22semidirect
40. #19127931C22semidirect
41. #19127866C22semidirect
42. #19127856C22semidirect
43. #19127842C22semidirect
44. C2×#14581725C22semidirect
45. C2×#14581717C22semidirect
46. C2×#14581715C22semidirect
47. C2×#14581712C22semidirect
50. C22⋊C8×D83C22semidirect
53. #483×C83C22semidirect
54. C2×#106×C83C22semidirect
55. C2×#103×C83C22semidirect
81. C2×#13050580C23semidirect
83. C2×#13050579C23semidirect
118. #14581725C23semidirect
119. #14581717C23semidirect
120. #14581715C23semidirect
121. #14581712C23semidirect
137. #106×C83C23semidirect
138. #103×C83C23semidirect
326. C2×C83#3190semidirect
337. C2×#483D83semidirect
345. C83C2×#3190semidirect
373. #483C2×D83semidirect
381. C2×#106C2×D83semidirect
384. C2×#103C2×D83semidirect
465. #106C22×D83semidirect
468. #103C22×D83semidirect
661. C2#24918249direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#191282142
C22×#145817722
#249182492
C2×#191280452
C2×#191280142
C2×#191279412
C2×#191279312
C2×#191278662
C2×#191278562
C2×#191278422
C2×C22⋊C8×D832
C2×#483×C832
C2×#319083