Finite Group Databasebeta

← C2×#24921971 #36311858

Subgroups — C2×#24921971 #36311858

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#24921971C2132yesmaximal, direct product factor
2C2×#19128455C214yesmaximal, complemented
3C2×#19128436C212yesmaximal, complemented
4C2×#19128427C212yesmaximal, complemented
5C2×#19128425C212yesmaximal, complemented
6C2×#19128407C212yesmaximal, complemented
7C2×#19128389C214yesmaximal, complemented
8C2×#19128324C212yesmaximal, complemented
9C2×#19128317C214yesmaximal, complemented
10C2×#19128306C211yesmaximal, characteristic
11C2×#19128292C214yesmaximal, complemented
12C2×#19128254C211yesmaximal, characteristic, complemented
13C2×#19128237C212yesmaximal, complemented
14C2×#541×C83C211yesmaximal, characteristic, complemented
15#19128455C22164yescomplemented
16#19128436C22132yescomplemented
17#19128427C22132yescomplemented
18#19128425C22132yescomplemented
19#19128407C22132yescomplemented
20#19128389C22164yescomplemented
21#19128324C22132yescomplemented
22#19128317C22164yescomplemented
23#19128306C22116yes—
24#19128292C22164yescomplemented
25#19128254C22116yescomplemented
26C2×#14581791C2214yes—
27C2×#14581791C2212yes—
28C2×#14581791C2212yes—
29C2×#14581789C2211yescharacteristic
30#19128237C22132yescomplemented
31C2×#14581787C2214yes—
32C2×#14581787C2214yes—
33C2×#14581787C2214yes—
34C2×#14581787C2214yes—
35C2×#14581784C2211yescharacteristic
36C2×#14581784C2214yes—
37C2×#14581783C2212yes—
38C2×#14581783C2214yes—
39C2×#14581783C2212yes—
40C2×#14581781C2212yes—
41C2×#14581781C2212yes—
42C2×#14581780C2214yes—
43C2×#14581778C2214yes—
44C2×#14581777C2214yes—
45C2×#14581777C2214yes—
46C2×#14581777C2214yes—
47C2×#14581776C2214yes—
48C2×#14581774C2214yes—
49C2×#14581772C2214yes—
50C2×#14581772C2214yes—
51C2×#14581772C2214yes—
52C2×#14581770C2214yes—
53C2×#14581770C2214yes—
54C2×#14581769C2212yes—
55C2×#14581769C2212yes—
56C2×#14581766C2212yes—
57C2×#14581765C2214yes—
58C2×Q8×Dic83C2212yes—
59C2×Q8×Dic83C2212yes—
60C2×C4×Dic166C2214yes—
61C2×C4×Dic166C2212yes—
62C2×C4×Dic166C2212yes—
63C2×C4×D332C2214yes—
64C2×C4×D332C2212yes—
65C2×#14581754C2212yes—
66C2×#14581754C2212yes—
67C2×(C22⋊D83)⋊C4C2214yes—
68C2×#14581751C2211yescharacteristic
69C2×#14581750C2214yes—
70C2×#14581750C2214yes—
71C2×C4⋊C4×D83C2214yes—
72C22×C4×Dic83C2211yescharacteristic
73#541×C83C22116yescomplemented
74C2×C4⋊Q8×C83C2211yescharacteristic
75C2×#126×C83C2214yes—
76C2×#125×C83C2214yes—
77C2×#125×C83C2211yescharacteristic
78C2×C22⋊Q8×C83C2212yes—
79C2×C4×Q8×C83C2212yes—
80C2×#117×C83C2211yescharacteristic
81C22×Dic166C2312yes—
82C22×Dic166C2312yes—
83C22×Dic166C2314yes—
84C22×D332C2312yes—
85C22×D332C2314yes—
86C22×C22⋊D83C2314yes—
87C23×Dic83C2312yes—
88C22×C4×D83C2314yes—
89C22×C4×D83C2314yes—
90C22×C4×D83C2314yes—
91#14581791C23116yes—
92#14581791C23132yes—
93#14581791C23116yes—
94#14581789C2318yes—
95#14581787C23132yes—
96#14581787C23132yes—
97#14581787C23132yes—
98#14581787C23132yes—
99#14581784C2318yes—
100#14581784C23132yes—
101#14581783C23116yes—
102#14581783C23132yes—
103#14581783C23116yes—
104#14581781C23116yes—
105#14581781C23116yes—
106#14581780C23132yes—
107#14581778C23132yes—
108#14581777C23132yes—
109#14581777C23132yes—
110#14581777C23132yes—
111#14581776C23132yes—
112#14581774C23132yes—
113#14581772C23132yes—
114#14581772C23132yes—
115#14581772C23132yes—
116#14581770C23132yes—
117#14581770C23132yes—
118#14581769C23116yes—
119#14581769C23116yes—
120#14581766C23116yes—
121#14581765C23132yes—
122Q8×Dic83C23116yes—
123Q8×Dic83C23116yes—
124C4×Dic166C23132yes—
125C4×Dic166C23116yes—
126C4×Dic166C23116yes—
127C4×D332C23132yes—
128C4×D332C23116yes—
129#14581754C23116yes—
130#14581754C23116yes—
131(C22⋊D83)⋊C4C23132yes—
132#14581751C2318yes—
133#14581750C23132yes—
134#14581750C23132yes—
135C2×C4⋊Dic83C2314yes—
136C2×C4⋊Dic83C2312yes—
137C2×C4⋊Dic83C2312yes—
138C2×C4⋊Dic83C2312yes—
139C2×C4⋊Dic83C2312yes—
140C2×C4⋊Dic83C2314yes—
141C2×C4⋊Dic83C2314yes—
142C2×Dic83⋊C4C2312yes—
143C2×Dic83⋊C4C2314yes—
144C2×Dic83⋊C4C2314yes—
145C2×Dic83⋊C4C2312yes—
146C2×Dic83⋊C4C2314yes—
147C2×Dic83⋊C4C2312yes—
148C2×Dic83⋊C4C2312yes—
149C4⋊C4×D83C23132yes—
150C2×C22⋊Dic83C2311yescharacteristic
151C2×C22⋊Dic83C2311yescharacteristic
152C2×(C2×D83)⋊C4C2314yes—
153C2×(C2×D83)⋊C4C2314yes—
154C2×(C2×D83)⋊C4C2314yes—
155C2×(C2×D83)⋊C4C2314yes—
156C2×(C2×D83)⋊C4C2314yes—
157C2×(C2×D83)⋊C4C2314yes—
158C2×(C2×D83)⋊C4C2314yes—
159C2×(C2×D83)⋊C4C2314yes—
160C2×C4×Dic83C2311yescharacteristic
161C2×C4×Dic83C2312yes—
162C2×C4×Dic83C2311yescharacteristic
163C2×C4×Dic83C2318yes—
164C2×C4×Dic83C2314yes—
165C2×C4×Dic83C2314yes—
166C2×C4×Dic83C2312yes—
167C22×Q8×C83C2312yes—
168C23×C4×C83C2311yescharacteristic
169C4⋊Q8×C83C2318yes—
170#126×C83C23132yes—
171#125×C83C23132yes—
172#125×C83C2318yes—
173C22⋊Q8×C83C23116yes—
174C4×Q8×C83C23116yes—
175#117×C83C2318yes—
176C2×C4⋊C4×C83C2312yes—
177C2×C4⋊C4×C83C2312yes—
178C2×C4⋊C4×C83C2314yes—
179C2×C4⋊C4×C83C2314yes—
180C2×C4⋊C4×C83C2314yes—
181C2×C4⋊C4×C83C2314yes—
182C2×C22⋊C4×C83C2312yes—
183C2×C22⋊C4×C83C2314yes—
184C2×C42×C83C2311yescharacteristic
185C2×C42×C83C2311yescharacteristic
186C2×C42×C83C2314yes—
187C23×D83C2414yes—
188C2×Dic166—44no—
189C2×Dic166—48no—
190C2×Dic166—44no—
191C2×Dic166C2418yes—
192C2×Dic166C2418yes—
193C2×Dic166C24116yes—
194C2×D332—28no—
195C2×D332—48no—
196C2×D332C2418yes—
197C2×D332C24116yes—
198C2×C22⋊D83—48no—
199C2×C22⋊D83C24116yes—
200C22×Dic83—44no—
201C22×Dic83C2412yes—
202C22×Dic83C2412yes—
203C22×Dic83C2414yes—
204C22×Dic83C2412yes—
205C22×Dic83C2412yes—
206C22×Dic83C2418yes—
207C2×C4×D83—48no—
208C2×C4×D83—48no—
209C2×C4×D83—48no—
210C2×C4×D83C24116yes—
211C2×C4×D83C24116yes—
212C2×C4×D83C24116yes—
213C4⋊Dic83C2418yes—
214C4⋊Dic83C2418yes—
215C4⋊Dic83C2418yes—
216C4⋊Dic83C24116yes—
217C4⋊Dic83C2418yes—
218C4⋊Dic83C24116yes—
219C4⋊Dic83C24116yes—
220Dic83⋊C4C24116yes—
221Dic83⋊C4C2418yes—
222Dic83⋊C4C2418yes—
223Dic83⋊C4C2418yes—
224Dic83⋊C4C2418yes—
225Dic83⋊C4C24116yes—
226Dic83⋊C4C24116yes—
227C22⋊Dic83C2414yes—
228C22⋊Dic83C2414yes—
229(C2×D83)⋊C4C24116yes—
230(C2×D83)⋊C4C24116yes—
231(C2×D83)⋊C4C24116yes—
232(C2×D83)⋊C4C24116yes—
233(C2×D83)⋊C4C24116yes—
234(C2×D83)⋊C4C24116yes—
235(C2×D83)⋊C4C24116yes—
236(C2×D83)⋊C4C24116yes—
237C4×Dic83C24116yes—
238C4×Dic83C2418yes—
239C4×Dic83C2418yes—
240C4×Dic83C2414yes—
241C4×Dic83C24116yes—
242C4×Dic83C2414yes—
243C24×C83C2411yescharacteristic
244C2×Q8×C83—28no—
245C2×Q8×C83C2418yes—
246C22×C4×C83—24no—
247C22×C4×C83C2414yes—
248C22×C4×C83C2414yes—
249C22×C4×C83C2412yes—
250C22×C4×C83C2412yes—
251C22×C4×C83C2414yes—
252C22×C4×C83C2411yescharacteristic
253C22×C4×C83C2411yescharacteristic
254C4⋊C4×C83C24116yes—
255C4⋊C4×C83C24116yes—
256C4⋊C4×C83C24116yes—
257C4⋊C4×C83C2418yes—
258C4⋊C4×C83C24116yes—
259C4⋊C4×C83C2418yes—
260C22⋊C4×C83C2418yes—
261C22⋊C4×C83C24116yes—
262C42×C83C24116yes—
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—216no—
274C2×C4×C83—22no—
275C2×C4×C83—28no—
276C2×C4×C83—28no—
277C2×C4×C83—24no—
278C2×C4×C83—24no—
279C2×C4×C83—28no—
280C2×C4×C832−1+414yes—
281C2×C4×C83C2514yes—
282C2×C4×C83C2518yes—
283C2×C4×C83C2514yes—
284C2×C4×C83C2518yes—
285C2×C4×C83C2512yes—
286C2×C4×C83C2512yes—
287C22⋊D83—416no—
288C2×Dic83—24no—
289C2×Dic83—24no—
290C2×Dic83—28no—
291C2×Dic83—24no—
292C2×Dic83—24no—
293C2×Dic83—48no—
294C2×Dic83C2514yes—
295C2×Dic83C2514yes—
296C2×Dic83C2514yes—
297C2×Dic83C2518yes—
298C2×Dic83C2514yes—
299D332—216no—
300D332—416no—
301C4×D83—416no—
302C4×D83—416no—
303C4×D83—416no—
304Dic166—48no—
305Dic166—416no—
306Dic166—48no—
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—28no—
319C4×C83—28no—
320C4×C83—24no—
321C4×C83—24no—
322C4×C83C2×2−1+414yes—
323Dic83—24no—
324Dic83—24no—
325Dic83—24no—
326Dic83—28no—
327Dic83—24no—
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×#541D8311yescharacteristic, complemented
344C2×#540—831no—
345C2×#539—834no—
346C2×#533—831no—
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#541C2×D83116yescomplemented
358#540—8316no—
359#539—8364no—
360#533—8316no—
361C2×C4⋊Q8—832no—
362C2×C4⋊Q8—832no—
363C2×C4⋊Q8—834no—
364C2×C4⋊Q8C2×D8311yescharacteristic
365C2×#127—831no—
366#529—8332no—
367C2×#126—834no—
368C2×#126—834no—
369C2×#126—834no—
370C2×#126—834no—
371C2×#126C2×D8314yes—
372C2×#125—832no—
373C2×#125—832no—
374C2×#125—834no—
375C2×#125—834no—
376C2×#125—831no—
377C2×#125C2×D8314yes—
378C2×#125C2×D8311yescharacteristic
379C2×#124—832no—
380C2×#124—832no—
381C2×#124—834no—
382C2×#124—834no—
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—834no—
391C2×C22⋊Q8—834no—
392C2×C22⋊Q8—834no—
393C2×C22⋊Q8—832no—
394C2×C22⋊Q8—832no—
395C2×C22⋊Q8C2×D8312yes—
396C2×#121—832no—
397C2×#121—834no—
398C2×C4×Q8—832no—
399C2×C4×Q8—832no—
400C2×C4×Q8—832no—
401C2×C4×Q8—832no—
402C2×C4×Q8—834no—
403C2×C4×Q8C2×D8312yes—
404C2×C4×D4—832no—
405C2×C4×D4—832no—
406C2×C4×D4—834no—
407C2×C4×D4—834no—
408C2×C4×D4—832no—
409C2×#117—831no—
410C2×#117—834no—
411C2×#117—834no—
412C2×#117C2×D8311yescharacteristic
413C22×C4⋊C4—834no—
414C22×C42—831no—
415C22×Q8—832no—
416C22×Q8—834no—
417C22×Q8—832no—
418C22×Q8C22×D8312yes—
419C22×D4—834no—
420C22×D4—834no—
421C22×D4—832no—
422C23×C4—832no—
423C23×C4—834no—
424C23×C4—834no—
425C23×C4—834no—
426C23×C4C22×D8311yescharacteristic
427C4⋊Q8—8316no—
428C4⋊Q8—8316no—
429C4⋊Q8—8332no—
430C4⋊Q8C22×D8318yes—
431#127—838no—
432#126—8332no—
433#126—8332no—
434#126—8332no—
435#126—8332no—
436#126C22×D83132yes—
437#125—8316no—
438#125—8316no—
439#125—8332no—
440#125—8332no—
441#125—838no—
442#125C22×D83132yes—
443#125C22×D8318yes—
444#124—8316no—
445#124—8316no—
446#124—8332no—
447#124—8332no—
448#123—8332no—
449#123—8332no—
450#123—8332no—
451#123—8332no—
452#123—8332no—
453C22⋊Q8—8332no—
454C22⋊Q8—8332no—
455C22⋊Q8—8332no—
456C22⋊Q8—8332no—
457C22⋊Q8—8332no—
458C22⋊Q8—8316no—
459C22⋊Q8—8316no—
460C22⋊Q8C22×D83116yes—
461#121—8316no—
462#121—8332no—
463C4×Q8—8316no—
464C4×Q8—8316no—
465C4×Q8—8316no—
466C4×Q8—8316no—
467C4×Q8—8332no—
468C4×Q8C22×D83116yes—
469C4×D4—8316no—
470C4×D4—8316no—
471C4×D4—8332no—
472C4×D4—8332no—
473C4×D4—8316no—
474#117—838no—
475#117—8332no—
476#117—8332no—
477#117C22×D8318yes—
478C2×C4⋊C4—832no—
479C2×C4⋊C4—834no—
480C2×C4⋊C4—834no—
481C2×C4⋊C4—832no—
482C2×C4⋊C4—832no—
483C2×C4⋊C4—832no—
484C2×C4⋊C4—832no—
485C2×C4⋊C4—834no—
486C2×C4⋊C4—832no—
487C2×C4⋊C4—834no—
488C2×C4⋊C4—832no—
489C2×C4⋊C4—834no—
490C2×C4⋊C4—832no—
491C2×C4⋊C4—834no—
492C2×C4⋊C4—8332no—
493C2×C4⋊C4C22×D8314yes—
494C2×C4⋊C4C22×D8314yes—
495C2×C4⋊C4C22×D8314yes—
496C2×C4⋊C4C22×D8312yes—
497C2×C4⋊C4C22×D8312yes—
498C2×C4⋊C4C22×D8314yes—
499C2×C22⋊C4—831no—
500C2×C22⋊C4—831no—
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⋊C4—834no—
509C2×C22⋊C4C22×D8312yes—
510C2×C22⋊C4C22×D8314yes—
511C2×C42—831no—
512C2×C42—834no—
513C2×C42—832no—
514C2×C42—834no—
515C2×C42—832no—
516C2×C42—831no—
517C2×C42—838no—
518C2×C42C22×D8311yescharacteristic
519C2×C42C22×D8311yescharacteristic
520C2×C42C22×D8314yes—
521C24—834no—
522C24C23×D8311yescharacteristic
523C2×Q8—28no—
524C2×Q8—3324no—
525C2×Q8—3328no—
526C2×Q8—3324no—
527C2×Q8—838no—
528C2×Q8—8316no—
529C2×Q8—838no—
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—3328no—
539C22×C4—3328no—
540C22×C4—3328no—
541C22×C4—3324no—
542C22×C4—838no—
543C22×C4—8316no—
544C22×C4—8316no—
545C22×C4—8316no—
546C22×C4—832no—
547C22×C4—832no—
548C22×C4—832no—
549C22×C4—834no—
550C22×C4—832no—
551C22×C4C23×D8314yes—
552C22×C4C23×D8314yes—
553C22×C4C23×D8311yescharacteristic
554C22×C4C23×D8312yes—
555C22×C4C23×D8312yes—
556C22×C4C23×D8314yes—
557C22×C4C23×D8311yescharacteristic
558C4⋊C4—838no—
559C4⋊C4—8316no—
560C4⋊C4—8316no—
561C4⋊C4—838no—
562C4⋊C4—838no—
563C4⋊C4—838no—
564C4⋊C4—838no—
565C4⋊C4—8316no—
566C4⋊C4—838no—
567C4⋊C4—8316no—
568C4⋊C4—838no—
569C4⋊C4—8316no—
570C4⋊C4—838no—
571C4⋊C4—8316no—
572C4⋊C4C23×D83116yes—
573C4⋊C4C23×D83116yes—
574C4⋊C4C23×D83116yes—
575C4⋊C4C23×D8318yes—
576C4⋊C4C23×D8318yes—
577C4⋊C4C23×D83116yes—
578C22⋊C4—834no—
579C22⋊C4—834no—
580C22⋊C4—8316no—
581C22⋊C4—8316no—
582C22⋊C4—8316no—
583C22⋊C4—8316no—
584C22⋊C4—8316no—
585C22⋊C4—8316no—
586C22⋊C4—8316no—
587C22⋊C4—8316no—
588C22⋊C4C23×D8318yes—
589C22⋊C4C23×D83116yes—
590C42—834no—
591C42—838no—
592C42—834no—
593C42—8316no—
594C42—838no—
595C42—8316no—
596C42C23×D8314yes—
597C42C23×D8314yes—
598C42C23×D83116yes—
599C23—22no—
600C23—24no—
601C23—838no—
602C23—1668no—
603C23—1668no—
604C23—1668no—
605C23C24×D8312yes—
606C23C24×D8311yescharacteristic
607Q8—216no—
608Q8—3328no—
609Q8—33216no—
610Q8—3328no—
611D4—33216no—
612D4—33216no—
613D4—16616no—
614C2×C4—22no—
615C2×C4—28no—
616C2×C4—28no—
617C2×C4—24no—
618C2×C4—24no—
619C2×C4—28no—
620C2×C4—33216no—
621C2×C4—33216no—
622C2×C4—33216no—
623C2×C4—3328no—
624C2×C4—834no—
625C2×C4—834no—
626C2×C4—834no—
627C2×C4—838no—
628C2×C4—834no—
629C2×C4—1664no—
630C2×C4—1664no—
631C2×C4—1668no—
632C2×C4—1664no—
633C2×C4—1664no—
634C2×C4#1458183914yes—
635C2×C4C24×D8318yes—
636C2×C4C24×D8312yes—
637C2×C4C24×D8314yes—
638C2×C4C24×D8314yes—
639C2×C4C24×D8318yes—
640C2×C4C24×D8312yes—
641C22—22no—
642C22—24no—
643C22—44no—
644C22—33216no—
645C22—1668no—
646C22—1668no—
647C22—1668no—
648C22C2×#1458183912yes—
649C22#1912853814yes—
650C22C25×D8311yescharacteristic
651C4—22no—
652C4—28no—
653C4—28no—
654C4—24no—
655C4—24no—
656C4—1664no—
657C4—1664no—
658C4—1668no—
659C4—1664no—
660C4—1664no—
661C4C2×#1458183914yes—
662C2—42no—
663C2—3328no—
664C2#2492197114yesdirect product factor
665C2C22×#1458183911yescharacteristic
666C2C2×#1912853812yes—
subgroupG/H
centerC23C24×D83
commutator, cosocleC22×C83C26
FrattiniC22C25×D83
FittingC2×#541×C83C2
socleC23×C83C25
prime radicalC2×#19128306C2
hypercenterC2×#541D83
hypocenterC83C2×#3557
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×#541

Complements

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

NH ≅ G/Ntype
1. #24921971C2direct (N × H)
2. C2×#19128455C2semidirect
3. C2×#19128436C2semidirect
4. C2×#19128427C2semidirect
5. C2×#19128425C2semidirect
6. C2×#19128407C2semidirect
7. C2×#19128389C2semidirect
8. C2×#19128324C2semidirect
9. C2×#19128317C2semidirect
11. C2×#19128292C2semidirect
12. C2×#19128254C2semidirect
13. C2×#19128237C2semidirect
14. C2×#541×C83C2semidirect
15. #19128455C22semidirect
16. #19128436C22semidirect
17. #19128427C22semidirect
18. #19128425C22semidirect
19. #19128407C22semidirect
20. #19128389C22semidirect
21. #19128324C22semidirect
22. #19128317C22semidirect
24. #19128292C22semidirect
25. #19128254C22semidirect
30. #19128237C22semidirect
73. #541×C83C22semidirect
330. C2×C83#3557semidirect
343. C2×#541D83semidirect
348. C83C2×#3557semidirect
357. #541C2×D83semidirect
664. C2#24921971direct (N × H)

Maximal subgroups

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

subgroupindex
#249219712
C2×#191284552
C2×#191284362
C2×#191284272
C2×#191284252
C2×#191284072
C2×#191283892
C2×#191283242
C2×#191283172
C2×#191283062
C2×#191282922
C2×#191282542
C2×#191282372
C2×#541×C832
C2×#355783