Finite Group Databasebeta

← C2×#24921969 #36311857

Subgroups — C2×#24921969 #36311857

Order 21248.

6554 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921969C2132yesmaximal, direct product factor
2C2×#19128450C214yesmaximal, complemented
3C2×#19128436C212yesmaximal, complemented
4C2×#19128429C212yesmaximal, complemented
5C2×#19128424C212yesmaximal, complemented
6C2×#19128411C212yesmaximal, complemented
7C2×#19128383C214yesmaximal, complemented
8C2×#19128322C212yesmaximal, complemented
9C2×#19128321C214yesmaximal, complemented
10C2×#19128313C211yesmaximal, characteristic, complemented
11C2×#19128306C211yesmaximal, characteristic
12C2×#19128297C214yesmaximal, complemented
13C2×#19128235C212yesmaximal, complemented
14C2×#533×C83C211yesmaximal, characteristic, complemented
15#19128450C22164yescomplemented
16#19128436C22132yescomplemented
17#19128429C22132yescomplemented
18#19128424C22132yescomplemented
19#19128411C22132yescomplemented
20#19128383C22164yescomplemented
21#19128322C22132yescomplemented
22#19128321C22164yescomplemented
23#19128313C22116yescomplemented
24#19128306C22116yes—
25#19128297C22164yescomplemented
26C2×#14581792C2212yes—
27C2×#14581792C2211yescharacteristic
28C2×#14581790C2214yes—
29C2×#14581789C2211yescharacteristic
30#19128235C22132yescomplemented
31C2×#14581787C2214yes—
32C2×#14581787C2214yes—
33C2×#14581787C2214yes—
34C2×#14581786C2214yes—
35C2×#14581785C2214yes—
36C2×#14581784C2212yes—
37C2×#14581784C2211yescharacteristic
38C2×#14581784C2211yescharacteristic
39C2×#14581782C2214yes—
40C2×#14581782C2214yes—
41C2×#14581782C2214yes—
42C2×#14581781C2214yes—
43C2×#14581780C2212yes—
44C2×#14581780C2212yes—
45C2×#14581778C2214yes—
46C2×#14581777C2214yes—
47C2×#14581777C2214yes—
48C2×#14581777C2214yes—
49C2×#14581775C2214yes—
50C2×#14581774C2214yes—
51C2×#14581771C2212yes—
52C2×#14581770C2214yes—
53C2×#14581770C2214yes—
54C2×#14581770C2214yes—
55C2×#14581768C2214yes—
56C2×#14581768C2214yes—
57C2×#14581766C2212yes—
58C2×#14581765C2214yes—
59C2×C4×Dic166C2212yes—
60C2×C4×Dic166C2212yes—
61C2×C4×Dic166C2212yes—
62C2×#14581757C2214yes—
63C2×C4×D332C2212yes—
64C2×C4×D332C2212yes—
65C2×C4×D332C2212yes—
66C2×#14581754C2214yes—
67C2×C4×C22⋊D83C2214yes—
68C2×#14581750C2214yes—
69C2×#14581749C2214yes—
70C2×C4⋊C4×D83C2214yes—
71#533×C83C22116yescomplemented
72C2×C4⋊Q8×C83C2212yes—
73C2×#125×C83C2212yes—
74C2×C22⋊Q8×C83C2212yes—
75C2×C22⋊Q8×C83C2212yes—
76C2×C4×Q8×C83C2212yes—
77C2×C4×Q8×C83C2212yes—
78C2×#117×C83C2211yescharacteristic
79C2×#117×C83C2211yescharacteristic
80C22×C42×C83C2211yescharacteristic
81C22×Dic166C2312yes—
82C22×Dic166C2314yes—
83C22×D332C2312yes—
84C22×D332C2314yes—
85C22×C22⋊D83C2314yes—
86C22×C4×D83C2314yes—
87C22×C4×D83C2314yes—
88C22×C4×D83C2314yes—
89#14581792C23116yes—
90#14581792C2318yes—
91#14581790C23132yes—
92#14581789C2318yes—
93#14581787C23132yes—
94#14581787C23132yes—
95#14581787C23132yes—
96#14581786C23132yes—
97#14581785C23132yes—
98#14581784C2318yes—
99#14581784C23116yes—
100#14581784C2318yes—
101#14581782C23132yes—
102#14581782C23132yes—
103#14581782C23132yes—
104#14581781C23132yes—
105#14581780C23116yes—
106#14581780C23116yes—
107#14581778C23132yes—
108#14581777C23132yes—
109#14581777C23132yes—
110#14581777C23132yes—
111#14581775C23132yes—
112#14581774C23132yes—
113#14581771C23116yes—
114#14581770C23132yes—
115#14581770C23132yes—
116#14581770C23132yes—
117#14581768C23132yes—
118#14581768C23132yes—
119#14581766C23116yes—
120#14581765C23132yes—
121C4×Dic166C23116yes—
122C4×Dic166C23116yes—
123C4×Dic166C23116yes—
124#14581757C23132yes—
125C4×D332C23116yes—
126C4×D332C23116yes—
127C4×D332C23116yes—
128#14581754C23132yes—
129C4×C22⋊D83C23132yes—
130#14581750C23132yes—
131#14581749C23132yes—
132C2×C4⋊Dic83C2314yes—
133C2×C4⋊Dic83C2314yes—
134C2×C4⋊Dic83C2312yes—
135C2×C4⋊Dic83C2312yes—
136C2×Dic83⋊C4C2314yes—
137C2×Dic83⋊C4C2314yes—
138C2×Dic83⋊C4C2314yes—
139C2×Dic83⋊C4C2314yes—
140C2×Dic83⋊C4C2314yes—
141C2×Dic83⋊C4C2314yes—
142C2×Dic83⋊C4C2314yes—
143C2×Dic83⋊C4C2314yes—
144C4⋊C4×D83C23132yes—
145C2×C22⋊Dic83C2314yes—
146C2×(C2×D83)⋊C4C2314yes—
147C2×(C2×D83)⋊C4C2314yes—
148C2×(C2×D83)⋊C4C2314yes—
149C2×(C2×D83)⋊C4C2314yes—
150C2×(C2×D83)⋊C4C2314yes—
151C2×(C2×D83)⋊C4C2314yes—
152C2×(C2×D83)⋊C4C2314yes—
153C2×(C2×D83)⋊C4C2314yes—
154C2×C4×Dic83C2314yes—
155C2×C4×Dic83C2314yes—
156C2×C4×Dic83C2314yes—
157C22×Q8×C83C2312yes—
158C22×Q8×C83C2312yes—
159C23×C4×C83C2311yescharacteristic
160C23×C4×C83C2312yes—
161C4⋊Q8×C83C23116yes—
162#125×C83C23116yes—
163C22⋊Q8×C83C23116yes—
164C22⋊Q8×C83C23116yes—
165C4×Q8×C83C23116yes—
166C4×Q8×C83C23116yes—
167#117×C83C2318yes—
168#117×C83C2318yes—
169C2×C4⋊C4×C83C2312yes—
170C2×C4⋊C4×C83C2312yes—
171C2×C4⋊C4×C83C2312yes—
172C2×C4⋊C4×C83C2312yes—
173C2×C4⋊C4×C83C2312yes—
174C2×C4⋊C4×C83C2312yes—
175C2×C4⋊C4×C83C2312yes—
176C2×C4⋊C4×C83C2312yes—
177C2×C22⋊C4×C83C2312yes—
178C2×C22⋊C4×C83C2311yescharacteristic
179C2×C22⋊C4×C83C2311yescharacteristic
180C2×C42×C83C2312yes—
181C2×C42×C83C2311yescharacteristic
182C2×C42×C83C2311yescharacteristic
183C2×C42×C83C2318yes—
184C2×C42×C83C2311yescharacteristic
185C2×C42×C83C2312yes—
186C2×C42×C83C2311yescharacteristic
187C23×D83C2414yes—
188C2×Dic166—28no—
189C2×Dic166—48no—
190C2×Dic166C2418yes—
191C2×Dic166C24116yes—
192C2×D332—28no—
193C2×D332—48no—
194C2×D332C2418yes—
195C2×D332C24116yes—
196C2×C22⋊D83—48no—
197C2×C22⋊D83C24116yes—
198C22×Dic83C2414yes—
199C22×Dic83C2414yes—
200C22×Dic83C2414yes—
201C2×C4×D83—48no—
202C2×C4×D83—48no—
203C2×C4×D83—48no—
204C2×C4×D83C24116yes—
205C2×C4×D83C24116yes—
206C2×C4×D83C24116yes—
207C4⋊Dic83C2418yes—
208C4⋊Dic83C24116yes—
209C4⋊Dic83C24116yes—
210C4⋊Dic83C2418yes—
211Dic83⋊C4C24116yes—
212Dic83⋊C4C24116yes—
213Dic83⋊C4C24116yes—
214Dic83⋊C4C24116yes—
215Dic83⋊C4C24116yes—
216Dic83⋊C4C24116yes—
217Dic83⋊C4C24116yes—
218Dic83⋊C4C24116yes—
219C22⋊Dic83C24116yes—
220(C2×D83)⋊C4C24116yes—
221(C2×D83)⋊C4C24116yes—
222(C2×D83)⋊C4C24116yes—
223(C2×D83)⋊C4C24116yes—
224(C2×D83)⋊C4C24116yes—
225(C2×D83)⋊C4C24116yes—
226(C2×D83)⋊C4C24116yes—
227(C2×D83)⋊C4C24116yes—
228C4×Dic83C24116yes—
229C4×Dic83C24116yes—
230C4×Dic83C24116yes—
231C24×C83C2411yescharacteristic
232C2×Q8×C83—44no—
233C2×Q8×C83—44no—
234C2×Q8×C83C2418yes—
235C2×Q8×C83C2418yes—
236C22×C4×C83—24no—
237C22×C4×C83—44no—
238C22×C4×C83C2414yes—
239C22×C4×C83C2412yes—
240C22×C4×C83C2412yes—
241C22×C4×C83C2412yes—
242C22×C4×C83C2412yes—
243C22×C4×C83C2412yes—
244C22×C4×C83C2411yescharacteristic
245C22×C4×C83C2412yes—
246C22×C4×C83C2418yes—
247C22×C4×C83C2411yescharacteristic
248C4⋊C4×C83C2418yes—
249C4⋊C4×C83C2418yes—
250C4⋊C4×C83C2418yes—
251C4⋊C4×C83C2418yes—
252C4⋊C4×C83C2418yes—
253C4⋊C4×C83C2418yes—
254C4⋊C4×C83C2418yes—
255C4⋊C4×C83C2418yes—
256C22⋊C4×C83C2418yes—
257C22⋊C4×C83C2414yes—
258C22⋊C4×C83C2414yes—
259C42×C83C2418yes—
260C42×C83C2418yes—
261C42×C83C2414yes—
262C42×C83C2414yes—
263C42×C83C2414yes—
264C42×C83C2414yes—
265C23×C83—22no—
266C23×C83—24no—
267C23×C83C2512yes—
268C23×C83C2511yescharacteristic
269C22×D83—28no—
270C22×D83—28no—
271C22×D83—28no—
272C22×D83C2518yes—
273Q8×C83—48no—
274Q8×C83—48no—
275C2×C4×C83—22no—
276C2×C4×C83—24no—
277C2×C4×C83—24no—
278C2×C4×C83—24no—
279C2×C4×C83—24no—
280C2×C4×C83—24no—
281C2×C4×C83—24no—
282C2×C4×C83—28no—
283C2×C4×C83—48no—
284C2×C4×C832−1+414yes—
285C2×C4×C83C2514yes—
286C2×C4×C83C2512yes—
287C2×C4×C83C2514yes—
288C2×C4×C83C2514yes—
289C2×C4×C83C2514yes—
290C2×C4×C83C2514yes—
291C2×C4×C83C2514yes—
292C2×C4×C83C2512yes—
293C22⋊D83—416no—
294C2×Dic83—28no—
295C2×Dic83—28no—
296C2×Dic83—28no—
297C2×Dic83C2518yes—
298C2×Dic83C2518yes—
299C2×Dic83C2518yes—
300D332—216no—
301D332—416no—
302C4×D83—416no—
303C4×D83—416no—
304C4×D83—416no—
305Dic166—216no—
306Dic166—416no—
307C22×C83—22no—
308C22×C83—24no—
309C22×C83—44no—
310C22×C83C2×2−1+412yes—
311C22×C83#58514yes—
312C22×C83C2611yescharacteristic
313C2×D83—28no—
314C2×D83—28no—
315C2×D83—28no—
316C2×D83—416no—
317C4×C83—22no—
318C4×C83—24no—
319C4×C83—24no—
320C4×C83—24no—
321C4×C83—24no—
322C4×C83—24no—
323C4×C83—24no—
324C4×C83C2×2−1+414yes—
325Dic83—28no—
326Dic83—28no—
327Dic83—28no—
328C2×#3557—831nomaximal, Sylow
329C2×C83—42no—
330C2×C83#355714yescomplemented
331C2×C83C22×2−1+411yescharacteristic
332C2×C83C2×#58512yes—
333D83—48no—
334#3557—8332no—
335C2×#563—834no—
336C2×#559—832no—
337C2×#557—832no—
338C2×#556—832no—
339C2×#554—832no—
340C2×#552—834no—
341C2×#542—834no—
342C2×#542—832no—
343C2×#541—831no—
344C2×#540—831no—
345C2×#539—834no—
346C2×#533D8311yescharacteristic, complemented
347C2×#529—832no—
348C83C2×#355711yescharacteristic, complemented, Sylow
349#563—8364no—
350#559—8332no—
351#557—8332no—
352#556—8332no—
353#554—8332no—
354#552—8364no—
355#542—8364no—
356#542—8332no—
357#541—8316no—
358#540—8316no—
359#539—8364no—
360#533C2×D83116yescomplemented
361C2×C4⋊Q8—834no—
362C2×C4⋊Q8—831no—
363C2×C4⋊Q8—832no—
364C2×C4⋊Q8C2×D8312yes—
365C2×#127—831no—
366#529—8332no—
367C2×#126—834no—
368C2×#126—834no—
369C2×#126—834no—
370C2×#126—834no—
371C2×#126—834no—
372C2×#125—834no—
373C2×#125—834no—
374C2×#125—834no—
375C2×#125—832no—
376C2×#125—831no—
377C2×#125—831no—
378C2×#125C2×D8312yes—
379C2×#124—834no—
380C2×#124—834no—
381C2×#124—832no—
382C2×#124—832no—
383C2×#123—834no—
384C2×#123—834no—
385C2×#123—834no—
386C2×#123—834no—
387C2×#123—834no—
388C2×C22⋊Q8—834no—
389C2×C22⋊Q8—834no—
390C2×C22⋊Q8—832no—
391C2×C22⋊Q8—834no—
392C2×C22⋊Q8—834no—
393C2×C22⋊Q8—834no—
394C2×C22⋊Q8C2×D8312yes—
395C2×C22⋊Q8C2×D8312yes—
396C2×#121—832no—
397C2×#121—834no—
398C2×C4×Q8—834no—
399C2×C4×Q8—832no—
400C2×C4×Q8—832no—
401C2×C4×Q8—832no—
402C2×C4×Q8C2×D8312yes—
403C2×C4×Q8C2×D8312yes—
404C2×C4×D4—834no—
405C2×C4×D4—834no—
406C2×C4×D4—832no—
407C2×C4×D4—832no—
408C2×C4×D4—832no—
409C2×#117—834no—
410C2×#117—834no—
411C2×#117C2×D8311yescharacteristic
412C2×#117C2×D8311yescharacteristic
413C22×C4⋊C4—834no—
414C22×C42C2×D8311yescharacteristic
415C22×Q8—834no—
416C22×Q8—832no—
417C22×Q8C22×D8312yes—
418C22×Q8C22×D8312yes—
419C22×D4—834no—
420C22×D4—834no—
421C22×D4—832no—
422C23×C4—834no—
423C23×C4—834no—
424C23×C4—834no—
425C23×C4C22×D8311yescharacteristic
426C23×C4C22×D8312yes—
427C4⋊Q8—8332no—
428C4⋊Q8—838no—
429C4⋊Q8—8316no—
430C4⋊Q8C22×D83116yes—
431#127—838no—
432#126—8332no—
433#126—8332no—
434#126—8332no—
435#126—8332no—
436#126—8332no—
437#125—8332no—
438#125—8332no—
439#125—8332no—
440#125—8316no—
441#125—838no—
442#125—838no—
443#125C22×D83116yes—
444#124—8332no—
445#124—8332no—
446#124—8316no—
447#124—8316no—
448#123—8332no—
449#123—8332no—
450#123—8332no—
451#123—8332no—
452#123—8332no—
453C22⋊Q8—8332no—
454C22⋊Q8—8332no—
455C22⋊Q8—8316no—
456C22⋊Q8—8332no—
457C22⋊Q8—8332no—
458C22⋊Q8—8332no—
459C22⋊Q8C22×D83116yes—
460C22⋊Q8C22×D83116yes—
461#121—8316no—
462#121—8332no—
463C4×Q8—8332no—
464C4×Q8—8316no—
465C4×Q8—8316no—
466C4×Q8—8316no—
467C4×Q8C22×D83116yes—
468C4×Q8C22×D83116yes—
469C4×D4—8332no—
470C4×D4—8332no—
471C4×D4—8316no—
472C4×D4—8316no—
473C4×D4—8316no—
474#117—8332no—
475#117—8332no—
476#117C22×D8318yes—
477#117C22×D8318yes—
478C2×C4⋊C4—834no—
479C2×C4⋊C4—834no—
480C2×C4⋊C4—834no—
481C2×C4⋊C4—834no—
482C2×C4⋊C4—834no—
483C2×C4⋊C4—832no—
484C2×C4⋊C4—832no—
485C2×C4⋊C4—834no—
486C2×C4⋊C4—834no—
487C2×C4⋊C4—834no—
488C2×C4⋊C4—834no—
489C2×C4⋊C4—834no—
490C2×C4⋊C4—8332no—
491C2×C4⋊C4C22×D8312yes—
492C2×C4⋊C4C22×D8312yes—
493C2×C4⋊C4C22×D8312yes—
494C2×C4⋊C4C22×D8312yes—
495C2×C4⋊C4C22×D8312yes—
496C2×C4⋊C4C22×D8312yes—
497C2×C4⋊C4C22×D8312yes—
498C2×C4⋊C4C22×D8312yes—
499C2×C22⋊C4—834no—
500C2×C22⋊C4—834no—
501C2×C22⋊C4—834no—
502C2×C22⋊C4—834no—
503C2×C22⋊C4—834no—
504C2×C22⋊C4—834no—
505C2×C22⋊C4—834no—
506C2×C22⋊C4—834no—
507C2×C22⋊C4—834no—
508C2×C22⋊C4C22×D8312yes—
509C2×C22⋊C4C22×D8311yescharacteristic
510C2×C22⋊C4C22×D8311yescharacteristic
511C2×C42—834no—
512C2×C42—834no—
513C2×C42—834no—
514C2×C42C22×D8311yescharacteristic
515C2×C42C22×D8311yescharacteristic
516C2×C42C22×D8312yes—
517C2×C42C22×D8311yescharacteristic
518C2×C42C22×D8312yes—
519C2×C42C22×D8311yescharacteristic
520C2×C42C22×D8318yes—
521C24—834no—
522C24C23×D8311yescharacteristic
523C2×Q8—44no—
524C2×Q8—44no—
525C2×Q8—3328no—
526C2×Q8—8316no—
527C2×Q8—838no—
528C2×Q8—1668no—
529C2×Q8C23×D8318yes—
530C2×Q8C23×D8318yes—
531C2×D4—3328no—
532C2×D4—3328no—
533C2×D4—8316no—
534C2×D4—8316no—
535C2×D4—838no—
536C2×D4—1668no—
537C22×C4—24no—
538C22×C4—44no—
539C22×C4—3328no—
540C22×C4—3328no—
541C22×C4—3328no—
542C22×C4—8316no—
543C22×C4—8316no—
544C22×C4—8316no—
545C22×C4—834no—
546C22×C4—834no—
547C22×C4—834no—
548C22×C4C23×D8314yes—
549C22×C4C23×D8312yes—
550C22×C4C23×D8312yes—
551C22×C4C23×D8312yes—
552C22×C4C23×D8311yescharacteristic
553C22×C4C23×D8312yes—
554C22×C4C23×D8312yes—
555C22×C4C23×D8312yes—
556C22×C4C23×D8318yes—
557C22×C4C23×D8311yescharacteristic
558C4⋊C4—8316no—
559C4⋊C4—8316no—
560C4⋊C4—8316no—
561C4⋊C4—8316no—
562C4⋊C4—8316no—
563C4⋊C4—838no—
564C4⋊C4—838no—
565C4⋊C4—8316no—
566C4⋊C4—8316no—
567C4⋊C4—8316no—
568C4⋊C4—8316no—
569C4⋊C4—8316no—
570C4⋊C4C23×D8318yes—
571C4⋊C4C23×D8318yes—
572C4⋊C4C23×D8318yes—
573C4⋊C4C23×D8318yes—
574C4⋊C4C23×D8318yes—
575C4⋊C4C23×D8318yes—
576C4⋊C4C23×D8318yes—
577C4⋊C4C23×D8318yes—
578C22⋊C4—8316no—
579C22⋊C4—8316no—
580C22⋊C4—8316no—
581C22⋊C4—8316no—
582C22⋊C4—8316no—
583C22⋊C4—8316no—
584C22⋊C4—8316no—
585C22⋊C4—8316no—
586C22⋊C4—8316no—
587C22⋊C4C23×D8318yes—
588C22⋊C4C23×D8314yes—
589C22⋊C4C23×D8314yes—
590C42—8316no—
591C42—8316no—
592C42—8316no—
593C42C23×D8314yes—
594C42C23×D8318yes—
595C42C23×D8314yes—
596C42C23×D8314yes—
597C42C23×D8318yes—
598C42C23×D8314yes—
599C23—22no—
600C23—24no—
601C23—838no—
602C23—1668no—
603C23—1668no—
604C23—1668no—
605C23C24×D8312yes—
606C23C24×D8311yescharacteristic
607Q8—48no—
608Q8—48no—
609Q8—33216no—
610Q8—16616no—
611D4—33216no—
612D4—33216no—
613D4—16616no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—24no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—28no—
622C2×C4—48no—
623C2×C4—33216no—
624C2×C4—33216no—
625C2×C4—33216no—
626C2×C4—838no—
627C2×C4—838no—
628C2×C4—838no—
629C2×C4—1668no—
630C2×C4—1668no—
631C2×C4—1668no—
632C2×C4#1458184014yes—
633C2×C4C24×D8314yes—
634C2×C4C24×D8314yes—
635C2×C4C24×D8314yes—
636C2×C4C24×D8312yes—
637C2×C4C24×D8314yes—
638C2×C4C24×D8314yes—
639C2×C4C24×D8314yes—
640C2×C4C24×D8312yes—
641C22—22no—
642C22—24no—
643C22—44no—
644C22—33216no—
645C22—1668no—
646C22—1668no—
647C22—1668no—
648C22C2×#1458184012yes—
649C22#1912853714yes—
650C22C25×D8311yescharacteristic
651C4—22no—
652C4—24no—
653C4—24no—
654C4—24no—
655C4—24no—
656C4—24no—
657C4—24no—
658C4—1668no—
659C4—1668no—
660C4—1668no—
661C4C2×#1458184014yes—
662C2—42no—
663C2—3328no—
664C2#2492196914yesdirect product factor
665C2C22×#1458184011yescharacteristic
666C2C2×#1912853712yes—
subgroupG/H
centerC23C24×D83
commutator, cosocleC22×C83C26
FrattiniC22C25×D83
FittingC2×#533×C83C2
socleC23×C83C25
prime radicalC2×#19128306C2
hypercenterC2×#533D83
hypocenterC83C2×#3557
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×#533

Complements

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

NH ≅ G/Ntype
1. #24921969C2direct (N × H)
2. C2×#19128450C2semidirect
3. C2×#19128436C2semidirect
4. C2×#19128429C2semidirect
5. C2×#19128424C2semidirect
6. C2×#19128411C2semidirect
7. C2×#19128383C2semidirect
8. C2×#19128322C2semidirect
9. C2×#19128321C2semidirect
10. C2×#19128313C2semidirect
12. C2×#19128297C2semidirect
13. C2×#19128235C2semidirect
14. C2×#533×C83C2semidirect
15. #19128450C22semidirect
16. #19128436C22semidirect
17. #19128429C22semidirect
18. #19128424C22semidirect
19. #19128411C22semidirect
20. #19128383C22semidirect
21. #19128322C22semidirect
22. #19128321C22semidirect
23. #19128313C22semidirect
25. #19128297C22semidirect
30. #19128235C22semidirect
71. #533×C83C22semidirect
330. C2×C83#3557semidirect
346. C2×#533D83semidirect
348. C83C2×#3557semidirect
360. #533C2×D83semidirect
664. C2#24921969direct (N × H)

Maximal subgroups

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

subgroupindex
#249219692
C2×#191284502
C2×#191284362
C2×#191284292
C2×#191284242
C2×#191284112
C2×#191283832
C2×#191283222
C2×#191283212
C2×#191283132
C2×#191283062
C2×#191282972
C2×#191282352
C2×#533×C832
C2×#355783