Finite Group Databasebeta

← C2×#21438604 #29496143

Subgroups — C2×#21438604 #29496143

Order 15104.

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#21438604C2132yesmaximal, direct product factor
2C2×#16838156C214yesmaximal, complemented
3C2×#16838137C212yesmaximal, complemented
4C2×#16838128C212yesmaximal, complemented
5C2×#16838126C212yesmaximal, complemented
6C2×#16838108C212yesmaximal, complemented
7C2×#16838090C214yesmaximal, complemented
8C2×#16838025C212yesmaximal, complemented
9C2×#16838018C214yesmaximal, complemented
10C2×#16838007C211yesmaximal, characteristic
11C2×#16837993C214yesmaximal, complemented
12C2×#16837955C211yesmaximal, characteristic, complemented
13C2×#16837938C212yesmaximal, complemented
14C2×C59×#541C211yesmaximal, characteristic, complemented
15#16838156C22164yescomplemented
16#16838137C22132yescomplemented
17#16838128C22132yescomplemented
18#16838126C22132yescomplemented
19#16838108C22132yescomplemented
20#16838090C22164yescomplemented
21#16838025C22132yescomplemented
22#16838018C22164yescomplemented
23#16838007C22116yes—
24#16837993C22164yescomplemented
25#16837955C22116yescomplemented
26C2×#14273726C2212yes—
27C2×#14273726C2214yes—
28C2×#14273726C2212yes—
29C2×#14273724C2211yescharacteristic
30#16837938C22132yescomplemented
31C2×#14273722C2214yes—
32C2×#14273722C2214yes—
33C2×#14273722C2214yes—
34C2×#14273722C2214yes—
35C2×#14273719C2214yes—
36C2×#14273719C2211yescharacteristic
37C2×#14273718C2214yes—
38C2×#14273718C2212yes—
39C2×#14273718C2212yes—
40C2×#14273716C2212yes—
41C2×#14273716C2212yes—
42C2×#14273715C2214yes—
43C2×#14273713C2214yes—
44C2×#14273712C2214yes—
45C2×#14273712C2214yes—
46C2×#14273712C2214yes—
47C2×#14273711C2214yes—
48C2×#14273709C2214yes—
49C2×#14273707C2214yes—
50C2×#14273707C2214yes—
51C2×#14273707C2214yes—
52C2×#14273705C2214yes—
53C2×#14273705C2214yes—
54C2×#14273704C2212yes—
55C2×#14273704C2212yes—
56C2×#14273701C2212yes—
57C2×#14273700C2214yes—
58C2×Q8×Dic59C2212yes—
59C2×Q8×Dic59C2212yes—
60C2×C4×Dic118C2214yes—
61C2×C4×Dic118C2212yes—
62C2×C4×Dic118C2212yes—
63C2×C4×D236C2214yes—
64C2×C4×D236C2212yes—
65C2×#14273689C2212yes—
66C2×#14273689C2212yes—
67C2×(C22⋊D59)⋊C4C2214yes—
68C2×#14273686C2211yescharacteristic
69C2×#14273685C2214yes—
70C2×#14273685C2214yes—
71C2×C4⋊C4×D59C2214yes—
72C22×C4×Dic59C2211yescharacteristic
73C59×#541C22116yescomplemented
74C2×C4⋊Q8×C59C2211yescharacteristic
75C2×#126×C59C2214yes—
76C2×#125×C59C2214yes—
77C2×#125×C59C2211yescharacteristic
78C2×C22⋊Q8×C59C2212yes—
79C2×C4×Q8×C59C2212yes—
80C2×#117×C59C2211yescharacteristic
81C22×Dic118C2312yes—
82C22×Dic118C2312yes—
83C22×Dic118C2314yes—
84C22×D236C2312yes—
85C22×D236C2314yes—
86C22×C22⋊D59C2314yes—
87C23×Dic59C2312yes—
88C22×C4×D59C2314yes—
89C22×C4×D59C2314yes—
90C22×C4×D59C2314yes—
91#14273726C23116yes—
92#14273726C23132yes—
93#14273726C23116yes—
94#14273724C2318yes—
95#14273722C23132yes—
96#14273722C23132yes—
97#14273722C23132yes—
98#14273722C23132yes—
99#14273719C23132yes—
100#14273719C2318yes—
101#14273718C23116yes—
102#14273718C23116yes—
103#14273718C23132yes—
104#14273716C23116yes—
105#14273716C23116yes—
106#14273715C23132yes—
107#14273713C23132yes—
108#14273712C23132yes—
109#14273712C23132yes—
110#14273712C23132yes—
111#14273711C23132yes—
112#14273709C23132yes—
113#14273707C23132yes—
114#14273707C23132yes—
115#14273707C23132yes—
116#14273705C23132yes—
117#14273705C23132yes—
118#14273704C23116yes—
119#14273704C23116yes—
120#14273701C23116yes—
121#14273700C23132yes—
122Q8×Dic59C23116yes—
123Q8×Dic59C23116yes—
124C4×Dic118C23116yes—
125C4×Dic118C23116yes—
126C4×Dic118C23132yes—
127C4×D236C23132yes—
128C4×D236C23116yes—
129#14273689C23116yes—
130#14273689C23116yes—
131(C22⋊D59)⋊C4C23132yes—
132#14273686C2318yes—
133#14273685C23132yes—
134#14273685C23132yes—
135C2×C4⋊Dic59C2312yes—
136C2×C4⋊Dic59C2312yes—
137C2×C4⋊Dic59C2312yes—
138C2×C4⋊Dic59C2314yes—
139C2×C4⋊Dic59C2312yes—
140C2×C4⋊Dic59C2314yes—
141C2×C4⋊Dic59C2314yes—
142C2×Dic59⋊C4C2314yes—
143C2×Dic59⋊C4C2312yes—
144C2×Dic59⋊C4C2312yes—
145C2×Dic59⋊C4C2312yes—
146C2×Dic59⋊C4C2312yes—
147C2×Dic59⋊C4C2314yes—
148C2×Dic59⋊C4C2314yes—
149C4⋊C4×D59C23132yes—
150C2×C22⋊Dic59C2311yescharacteristic
151C2×C22⋊Dic59C2311yescharacteristic
152C2×(C2×D59)⋊C4C2314yes—
153C2×(C2×D59)⋊C4C2314yes—
154C2×(C2×D59)⋊C4C2314yes—
155C2×(C2×D59)⋊C4C2314yes—
156C2×(C2×D59)⋊C4C2314yes—
157C2×(C2×D59)⋊C4C2314yes—
158C2×(C2×D59)⋊C4C2314yes—
159C2×(C2×D59)⋊C4C2314yes—
160C2×C4×Dic59C2314yes—
161C2×C4×Dic59C2312yes—
162C2×C4×Dic59C2312yes—
163C2×C4×Dic59C2311yescharacteristic
164C2×C4×Dic59C2314yes—
165C2×C4×Dic59C2311yescharacteristic
166C2×C4×Dic59C2318yes—
167C22×Q8×C59C2312yes—
168C23×C4×C59C2311yescharacteristic
169C4⋊Q8×C59C2318yes—
170#126×C59C23132yes—
171#125×C59C23132yes—
172#125×C59C2318yes—
173C22⋊Q8×C59C23116yes—
174C4×Q8×C59C23116yes—
175#117×C59C2318yes—
176C2×C4⋊C4×C59C2314yes—
177C2×C4⋊C4×C59C2314yes—
178C2×C4⋊C4×C59C2314yes—
179C2×C4⋊C4×C59C2312yes—
180C2×C4⋊C4×C59C2314yes—
181C2×C4⋊C4×C59C2312yes—
182C2×C22⋊C4×C59C2312yes—
183C2×C22⋊C4×C59C2314yes—
184C2×C42×C59C2314yes—
185C2×C42×C59C2311yescharacteristic
186C2×C42×C59C2311yescharacteristic
187C24×C59C2411yescharacteristic
188C23×D59C2414yes—
189C2×Q8×C59—28no—
190C2×Q8×C59C2418yes—
191C22×C4×C59—24no—
192C22×C4×C59C2412yes—
193C22×C4×C59C2414yes—
194C22×C4×C59C2412yes—
195C22×C4×C59C2414yes—
196C22×C4×C59C2411yescharacteristic
197C22×C4×C59C2414yes—
198C22×C4×C59C2411yescharacteristic
199C2×C22⋊D59—48no—
200C2×C22⋊D59C24116yes—
201C22×Dic59—44no—
202C22×Dic59C2412yes—
203C22×Dic59C2412yes—
204C22×Dic59C2412yes—
205C22×Dic59C2414yes—
206C22×Dic59C2412yes—
207C22×Dic59C2418yes—
208C2×D236—28no—
209C2×D236—48no—
210C2×D236C2418yes—
211C2×D236C24116yes—
212C2×C4×D59—48no—
213C2×C4×D59—48no—
214C2×C4×D59—48no—
215C2×C4×D59C24116yes—
216C2×C4×D59C24116yes—
217C2×C4×D59C24116yes—
218C2×Dic118—44no—
219C2×Dic118—48no—
220C2×Dic118—44no—
221C2×Dic118C2418yes—
222C2×Dic118C2418yes—
223C2×Dic118C24116yes—
224C4⋊C4×C59C2418yes—
225C4⋊C4×C59C2418yes—
226C4⋊C4×C59C24116yes—
227C4⋊C4×C59C24116yes—
228C4⋊C4×C59C24116yes—
229C4⋊C4×C59C24116yes—
230C22⋊C4×C59C2418yes—
231C22⋊C4×C59C24116yes—
232C42×C59C2414yes—
233C42×C59C2414yes—
234C42×C59C24116yes—
235C22⋊Dic59C2414yes—
236C22⋊Dic59C2414yes—
237(C2×D59)⋊C4C24116yes—
238(C2×D59)⋊C4C24116yes—
239(C2×D59)⋊C4C24116yes—
240(C2×D59)⋊C4C24116yes—
241(C2×D59)⋊C4C24116yes—
242(C2×D59)⋊C4C24116yes—
243(C2×D59)⋊C4C24116yes—
244(C2×D59)⋊C4C24116yes—
245C4⋊Dic59C24116yes—
246C4⋊Dic59C2418yes—
247C4⋊Dic59C2418yes—
248C4⋊Dic59C2418yes—
249C4⋊Dic59C2418yes—
250C4⋊Dic59C24116yes—
251C4⋊Dic59C24116yes—
252Dic59⋊C4C2418yes—
253Dic59⋊C4C24116yes—
254Dic59⋊C4C24116yes—
255Dic59⋊C4C2418yes—
256Dic59⋊C4C24116yes—
257Dic59⋊C4C2418yes—
258Dic59⋊C4C2418yes—
259C4×Dic59C2414yes—
260C4×Dic59C2418yes—
261C4×Dic59C2414yes—
262C4×Dic59C24116yes—
263C4×Dic59C24116yes—
264C4×Dic59C2418yes—
265C23×C59—22no—
266C23×C59—24no—
267C23×C59C2512yes—
268C23×C59C2511yescharacteristic
269C22×D59—28no—
270C22×D59—28no—
271C22×D59—28no—
272C22×D59C2518yes—
273Q8×C59—216no—
274C2×C4×C59—22no—
275C2×C4×C59—28no—
276C2×C4×C59—28no—
277C2×C4×C59—24no—
278C2×C4×C59—24no—
279C2×C4×C59—28no—
280C2×C4×C592−1+414yes—
281C2×C4×C59C2518yes—
282C2×C4×C59C2512yes—
283C2×C4×C59C2514yes—
284C2×C4×C59C2514yes—
285C2×C4×C59C2518yes—
286C2×C4×C59C2512yes—
287C22⋊D59—416no—
288C2×Dic59—24no—
289C2×Dic59—24no—
290C2×Dic59—24no—
291C2×Dic59—28no—
292C2×Dic59—24no—
293C2×Dic59—48no—
294C2×Dic59C2514yes—
295C2×Dic59C2514yes—
296C2×Dic59C2518yes—
297C2×Dic59C2514yes—
298C2×Dic59C2514yes—
299D236—216no—
300D236—416no—
301C4×D59—416no—
302C4×D59—416no—
303C4×D59—416no—
304Dic118—48no—
305Dic118—416no—
306Dic118—48no—
307C2×#3557—591nomaximal, Sylow
308C22×C59—22no—
309C22×C59—24no—
310C22×C59—44no—
311C22×C59C2×2−1+412yes—
312C22×C59#58514yes—
313C22×C59C2611yescharacteristic
314C2×D59—28no—
315C2×D59—28no—
316C2×D59—28no—
317C2×D59—416no—
318C4×C59—22no—
319C4×C59—28no—
320C4×C59—28no—
321C4×C59—24no—
322C4×C59—24no—
323C4×C59C2×2−1+414yes—
324Dic59—24no—
325Dic59—24no—
326Dic59—24no—
327Dic59—28no—
328Dic59—24no—
329#3557—5932no—
330C2×#563—594no—
331C2×#559—592no—
332C2×#557—592no—
333C2×#556—592no—
334C2×#554—592no—
335C2×#552—594no—
336C2×#542—594no—
337C2×#542—592no—
338C2×#541D5911yescharacteristic, complemented
339C2×#540—591no—
340C2×#539—594no—
341C2×#533—591no—
342C2×#529—592no—
343C2×C59—42no—
344C2×C59#355714yescomplemented
345C2×C59C22×2−1+411yescharacteristic
346C2×C59C2×#58512yes—
347D59—48no—
348#563—5964no—
349#559—5932no—
350#557—5932no—
351#556—5932no—
352#554—5932no—
353#552—5964no—
354#542—5964no—
355#542—5932no—
356#541C2×D59116yescomplemented
357#540—5916no—
358#539—5964no—
359#533—5916no—
360C2×C4⋊Q8—592no—
361C2×C4⋊Q8—592no—
362C2×C4⋊Q8—594no—
363C2×C4⋊Q8C2×D5911yescharacteristic
364C2×#127—591no—
365#529—5932no—
366C2×#126—594no—
367C2×#126—594no—
368C2×#126—594no—
369C2×#126—594no—
370C2×#126C2×D5914yes—
371C2×#125—592no—
372C2×#125—592no—
373C2×#125—594no—
374C2×#125—594no—
375C2×#125—591no—
376C2×#125C2×D5914yes—
377C2×#125C2×D5911yescharacteristic
378C2×#124—592no—
379C2×#124—592no—
380C2×#124—594no—
381C2×#124—594no—
382C2×#123—594no—
383C2×#123—594no—
384C2×#123—594no—
385C2×#123—594no—
386C2×#123—594no—
387C2×C22⋊Q8—594no—
388C2×C22⋊Q8—594no—
389C2×C22⋊Q8—594no—
390C2×C22⋊Q8—594no—
391C2×C22⋊Q8—594no—
392C2×C22⋊Q8—592no—
393C2×C22⋊Q8—592no—
394C2×C22⋊Q8C2×D5912yes—
395C2×#121—592no—
396C2×#121—594no—
397C2×C4×Q8—592no—
398C2×C4×Q8—592no—
399C2×C4×Q8—592no—
400C2×C4×Q8—592no—
401C2×C4×Q8—594no—
402C2×C4×Q8C2×D5912yes—
403C2×C4×D4—592no—
404C2×C4×D4—592no—
405C2×C4×D4—594no—
406C2×C4×D4—594no—
407C2×C4×D4—592no—
408C2×#117—591no—
409C2×#117—594no—
410C2×#117—594no—
411C2×#117C2×D5911yescharacteristic
412C22×C4⋊C4—594no—
413C22×C42—591no—
414C59C2×#355711yescharacteristic, complemented, Sylow
415C22×Q8—592no—
416C22×Q8—594no—
417C22×Q8—592no—
418C22×Q8C22×D5912yes—
419C22×D4—594no—
420C22×D4—592no—
421C22×D4—594no—
422C23×C4—592no—
423C23×C4—594no—
424C23×C4—594no—
425C23×C4—594no—
426C23×C4C22×D5911yescharacteristic
427C4⋊Q8—5916no—
428C4⋊Q8—5916no—
429C4⋊Q8—5932no—
430C4⋊Q8C22×D5918yes—
431#127—598no—
432#126—5932no—
433#126—5932no—
434#126—5932no—
435#126—5932no—
436#126C22×D59132yes—
437#125—5916no—
438#125—5916no—
439#125—5932no—
440#125—5932no—
441#125—598no—
442#125C22×D59132yes—
443#125C22×D5918yes—
444#124—5916no—
445#124—5916no—
446#124—5932no—
447#124—5932no—
448#123—5932no—
449#123—5932no—
450#123—5932no—
451#123—5932no—
452#123—5932no—
453C22⋊Q8—5932no—
454C22⋊Q8—5932no—
455C22⋊Q8—5932no—
456C22⋊Q8—5932no—
457C22⋊Q8—5932no—
458C22⋊Q8—5916no—
459C22⋊Q8—5916no—
460C22⋊Q8C22×D59116yes—
461#121—5916no—
462#121—5932no—
463C4×Q8—5916no—
464C4×Q8—5916no—
465C4×Q8—5916no—
466C4×Q8—5916no—
467C4×Q8—5932no—
468C4×Q8C22×D59116yes—
469C4×D4—5916no—
470C4×D4—5916no—
471C4×D4—5932no—
472C4×D4—5932no—
473C4×D4—5916no—
474#117—598no—
475#117—5932no—
476#117—5932no—
477#117C22×D5918yes—
478C2×C4⋊C4—592no—
479C2×C4⋊C4—594no—
480C2×C4⋊C4—594no—
481C2×C4⋊C4—592no—
482C2×C4⋊C4—592no—
483C2×C4⋊C4—592no—
484C2×C4⋊C4—592no—
485C2×C4⋊C4—594no—
486C2×C4⋊C4—592no—
487C2×C4⋊C4—594no—
488C2×C4⋊C4—592no—
489C2×C4⋊C4—594no—
490C2×C4⋊C4—592no—
491C2×C4⋊C4—594no—
492C2×C4⋊C4—5932no—
493C2×C4⋊C4C22×D5914yes—
494C2×C4⋊C4C22×D5914yes—
495C2×C4⋊C4C22×D5914yes—
496C2×C4⋊C4C22×D5912yes—
497C2×C4⋊C4C22×D5912yes—
498C2×C4⋊C4C22×D5914yes—
499C2×C22⋊C4—591no—
500C2×C22⋊C4—591no—
501C2×C22⋊C4—594no—
502C2×C22⋊C4—594no—
503C2×C22⋊C4—594no—
504C2×C22⋊C4—594no—
505C2×C22⋊C4—594no—
506C2×C22⋊C4—594no—
507C2×C22⋊C4—594no—
508C2×C22⋊C4—594no—
509C2×C22⋊C4C22×D5912yes—
510C2×C22⋊C4C22×D5914yes—
511C2×C42—591no—
512C2×C42—594no—
513C2×C42—592no—
514C2×C42—594no—
515C2×C42—592no—
516C2×C42—591no—
517C2×C42—598no—
518C2×C42C22×D5911yescharacteristic
519C2×C42C22×D5911yescharacteristic
520C2×C42C22×D5914yes—
521C24—594no—
522C24C23×D5911yescharacteristic
523C2×Q8—28no—
524C2×Q8—598no—
525C2×Q8—5916no—
526C2×Q8—598no—
527C2×Q8—2364no—
528C2×Q8—2368no—
529C2×Q8—2364no—
530C2×Q8C23×D5918yes—
531C2×D4—5916no—
532C2×D4—598no—
533C2×D4—5916no—
534C2×D4—1188no—
535C2×D4—2368no—
536C2×D4—2368no—
537C22×C4—24no—
538C22×C4—592no—
539C22×C4—592no—
540C22×C4—592no—
541C22×C4—594no—
542C22×C4—592no—
543C22×C4—598no—
544C22×C4—5916no—
545C22×C4—5916no—
546C22×C4—5916no—
547C22×C4—2368no—
548C22×C4—2368no—
549C22×C4—2368no—
550C22×C4—2364no—
551C22×C4C23×D5914yes—
552C22×C4C23×D5914yes—
553C22×C4C23×D5911yescharacteristic
554C22×C4C23×D5912yes—
555C22×C4C23×D5912yes—
556C22×C4C23×D5914yes—
557C22×C4C23×D5911yescharacteristic
558C4⋊C4—598no—
559C4⋊C4—5916no—
560C4⋊C4—5916no—
561C4⋊C4—598no—
562C4⋊C4—598no—
563C4⋊C4—598no—
564C4⋊C4—598no—
565C4⋊C4—5916no—
566C4⋊C4—598no—
567C4⋊C4—5916no—
568C4⋊C4—598no—
569C4⋊C4—5916no—
570C4⋊C4—598no—
571C4⋊C4—5916no—
572C4⋊C4C23×D59116yes—
573C4⋊C4C23×D59116yes—
574C4⋊C4C23×D59116yes—
575C4⋊C4C23×D5918yes—
576C4⋊C4C23×D5918yes—
577C4⋊C4C23×D59116yes—
578C22⋊C4—594no—
579C22⋊C4—594no—
580C22⋊C4—5916no—
581C22⋊C4—5916no—
582C22⋊C4—5916no—
583C22⋊C4—5916no—
584C22⋊C4—5916no—
585C22⋊C4—5916no—
586C22⋊C4—5916no—
587C22⋊C4—5916no—
588C22⋊C4C23×D5918yes—
589C22⋊C4C23×D59116yes—
590C42—594no—
591C42—598no—
592C42—594no—
593C42—5916no—
594C42—598no—
595C42—5916no—
596C42C23×D5914yes—
597C42C23×D5914yes—
598C42C23×D59116yes—
599C23—22no—
600C23—24no—
601C23—598no—
602C23—1188no—
603C23—1188no—
604C23—1188no—
605C23C24×D5912yes—
606C23C24×D5911yescharacteristic
607Q8—216no—
608Q8—2368no—
609Q8—23616no—
610Q8—2368no—
611D4—11816no—
612D4—23616no—
613D4—23616no—
614C2×C4—22no—
615C2×C4—28no—
616C2×C4—28no—
617C2×C4—24no—
618C2×C4—24no—
619C2×C4—28no—
620C2×C4—594no—
621C2×C4—594no—
622C2×C4—594no—
623C2×C4—598no—
624C2×C4—594no—
625C2×C4—1184no—
626C2×C4—1184no—
627C2×C4—1188no—
628C2×C4—1184no—
629C2×C4—1184no—
630C2×C4—23616no—
631C2×C4—23616no—
632C2×C4—23616no—
633C2×C4—2368no—
634C2×C4#1427377414yes—
635C2×C4C24×D5918yes—
636C2×C4C24×D5912yes—
637C2×C4C24×D5914yes—
638C2×C4C24×D5914yes—
639C2×C4C24×D5918yes—
640C2×C4C24×D5912yes—
641C22—22no—
642C22—24no—
643C22—44no—
644C22—1188no—
645C22—1188no—
646C22—1188no—
647C22—23616no—
648C22C2×#1427377412yes—
649C22#1683823914yes—
650C22C25×D5911yescharacteristic
651C4—22no—
652C4—28no—
653C4—28no—
654C4—24no—
655C4—24no—
656C4—1184no—
657C4—1184no—
658C4—1188no—
659C4—1184no—
660C4—1184no—
661C4C2×#1427377414yes—
662C2—42no—
663C2—2368no—
664C2#2143860414yesdirect product factor
665C2C22×#1427377411yescharacteristic
666C2C2×#1683823912yes—
subgroupG/H
centerC23C24×D59
commutator, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC2×C59×#541C2
socleC23×C59C25
prime radicalC2×#16838007C2
hypercenterC2×#541D59
hypocenterC59C2×#3557
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#541

Complements

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

NH ≅ G/Ntype
1. #21438604C2direct (N × H)
2. C2×#16838156C2semidirect
3. C2×#16838137C2semidirect
4. C2×#16838128C2semidirect
5. C2×#16838126C2semidirect
6. C2×#16838108C2semidirect
7. C2×#16838090C2semidirect
8. C2×#16838025C2semidirect
9. C2×#16838018C2semidirect
11. C2×#16837993C2semidirect
12. C2×#16837955C2semidirect
13. C2×#16837938C2semidirect
14. C2×C59×#541C2semidirect
15. #16838156C22semidirect
16. #16838137C22semidirect
17. #16838128C22semidirect
18. #16838126C22semidirect
19. #16838108C22semidirect
20. #16838090C22semidirect
21. #16838025C22semidirect
22. #16838018C22semidirect
24. #16837993C22semidirect
25. #16837955C22semidirect
30. #16837938C22semidirect
73. C59×#541C22semidirect
338. C2×#541D59semidirect
344. C2×C59#3557semidirect
356. #541C2×D59semidirect
414. C59C2×#3557semidirect
664. C2#21438604direct (N × H)

Maximal subgroups

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

subgroupindex
#214386042
C2×#168381562
C2×#168381372
C2×#168381282
C2×#168381262
C2×#168381082
C2×#168380902
C2×#168380252
C2×#168380182
C2×#168380072
C2×#168379932
C2×#168379552
C2×#168379382
C2×C59×#5412
C2×#355759