Finite Group Databasebeta

← C2×#21427550 #28756648

Subgroups — C2×#21427550 #28756648

Order 15104.

3830 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14273703C211yesmaximal, characteristic, complemented
2C22×#14273703C211yesmaximal, characteristic, complemented
3C22×C4×D236C211yesmaximal, characteristic
4C22×C4⋊C4×D59C211yesmaximal, characteristic, complemented
5#21427550C2116yesmaximal, direct product factor
6C2×#16837336C212yesmaximal, complemented
7C2×#16837326C212yesmaximal, complemented
8C2×#16837300C211yesmaximal, characteristic, complemented
9C2×#16837280C212yesmaximal
10C2×#16837261C212yesmaximal, complemented
11C2×#16837259C211yesmaximal, characteristic, complemented
12C2×C59×#391C211yesmaximal, characteristic, complemented
13C23×D236C2211yescharacteristic
14C23×C4×D59C2211yescharacteristic
15C23×C4×D59C2212yes—
16C23×C4×D59C2211yescharacteristic
17C2×#14273703—28no—
18C2×#14273703—28no—
19C2×#14273703C2218yescomplemented
20C2×#14273703C2218yescomplemented
21C2×C4×D236—28no—
22C2×C4×D236C2218yes—
23C22×C4⋊Dic59C2211yescharacteristic
24C22×C4⋊Dic59C2211yescharacteristic
25C22×C4⋊Dic59C2211yescharacteristic
26C22×Dic59⋊C4C2212yes—
27C22×Dic59⋊C4C2212yes—
28C22×Dic59⋊C4C2212yes—
29C22×Dic59⋊C4C2212yes—
30C2×C4⋊C4×D59—28no—
31C2×C4⋊C4×D59C2218yescomplemented
32C22×(C2×D59)⋊C4C2211yescharacteristic
33C22×(C2×D59)⋊C4C2212yes—
34C22×(C2×D59)⋊C4C2212yes—
35C22×(C2×D59)⋊C4C2211yescharacteristic
36C22×(C2×D59)⋊C4C2212yes—
37#16837336C22116yescomplemented
38#16837326C22116yescomplemented
39#16837300C2218yescomplemented
40#16837280C22116yes—
41#16837261C22116yescomplemented
42#16837259C2218yescomplemented
43C2×C59⋊#95C2212yes—
44C2×C59⋊#95C2212yes—
45C23×Q8×C59C2211yescharacteristic
46C22×C4⋊C4×C59C2211yescharacteristic
47C22×C42×C59C2211yescharacteristic
48C59×#391C2218yescomplemented
49C2×#95×C59C2212yes—
50C2×#95×C59C2212yes—
51C24×D59C2311yescharacteristic
52C24×D59C2311yescharacteristic
53C22×D236—24no—
54C22×D236—24no—
55C22×D236Q818yescomplemented
56C22×D236C2314yes—
57C23×Dic59C2311yescharacteristic
58C23×Dic59C2312yes—
59C23×Dic59C2312yes—
60C23×Dic59C2311yescharacteristic
61C22×C4×D59—24no—
62C22×C4×D59—24no—
63C22×C4×D59—28no—
64C22×C4×D59—24no—
65C22×C4×D59—24no—
66C22×C4×D59—24no—
67C22×C4×D59—28no—
68C22×C4×D59—44no—
69C22×C4×D59D418yes—
70C22×C4×D59C2314yes—
71C22×C4×D59C2318yes—
72C22×C4×D59C2314yes—
73#14273703—232no—
74#14273703—232no—
75C4×D236—232no—
76C2×C4⋊Dic59—24no—
77C2×C4⋊Dic59—24no—
78C2×C4⋊Dic59D418yescomplemented
79C2×C4⋊Dic59C2314yes—
80C2×C4⋊Dic59C2314yes—
81C2×C4⋊Dic59C2314yes—
82C2×Dic59⋊C4—28no—
83C2×Dic59⋊C4—28no—
84C2×Dic59⋊C4—28no—
85C2×Dic59⋊C4—44no—
86C2×Dic59⋊C4C2318yes—
87C2×Dic59⋊C4C2318yes—
88C2×Dic59⋊C4C2318yes—
89C2×Dic59⋊C4C2318yes—
90C4⋊C4×D59—232no—
91C2×(C2×D59)⋊C4—28no—
92C2×(C2×D59)⋊C4—24no—
93C2×(C2×D59)⋊C4—28no—
94C2×(C2×D59)⋊C4—24no—
95C2×(C2×D59)⋊C4—44no—
96C2×(C2×D59)⋊C4C2318yes—
97C2×(C2×D59)⋊C4C2318yes—
98C2×(C2×D59)⋊C4C2314yes—
99C2×(C2×D59)⋊C4C2314yes—
100C2×(C2×D59)⋊C4C2318yes—
101C59⋊#95C2318yes—
102C59⋊#95C2318yes—
103C22×Q8×C59—24no—
104C22×Q8×C59—24no—
105C22×Q8×C59—24no—
106C22×Q8×C59C2314yes—
107C23×C4×C59C2312yes—
108C23×C4×C59C2311yescharacteristic
109C23×C4×C59C2312yes—
110C23×C4×C59C2311yescharacteristic
111C23×C4×C59C2311yescharacteristic
112C2×C4⋊C4×C59—24no—
113C2×C4⋊C4×C59C2314yes—
114C2×C42×C59—24no—
115C2×C42×C59C2314yes—
116#95×C59C2318yes—
117#95×C59C2318yes—
118C24×C59C2411yescharacteristic
119C23×D59—22no—
120C23×D59—22no—
121C23×D59—22no—
122C23×D59—22no—
123C23×D59—22no—
124C23×D59—22no—
125C23×D59—22no—
126C23×D59—22no—
127C23×D59—22no—
128C23×D59—22no—
129C23×D59C2×D414yes—
130C23×D59C2×Q814yes—
131C23×D59C2×Q814yes—
132C23×D59#4114yes—
133C23×D59C2412yes—
134C23×D59C2412yes—
135C2×Q8×C59—28no—
136C2×Q8×C59—28no—
137C2×Q8×C59—28no—
138C2×Q8×C59—416no—
139C22×C4×C59—22no—
140C22×C4×C59—22no—
141C22×C4×C59—22no—
142C22×C4×C59—24no—
143C22×C4×C59—24no—
144C22×C4×C59—24no—
145C22×C4×C59—24no—
146C22×C4×C59—24no—
147C22×C4×C59—24no—
148C22×C4×C59—22no—
149C22×C4×C59—22no—
150C22×C4×C59C2×D414yes—
151C22×C4×C59C2×D414yes—
152C22×C4×C59C2×Q814yes—
153C22×C4×C59#4114yes—
154C22×C4×C59C2412yes—
155C22×C4×C59C2414yes—
156C22×C4×C59C2414yes—
157C22×C4×C59C2412yes—
158C22×C4×C59C2412yes—
159C22×Dic59—22no—
160C22×Dic59—22no—
161C22×Dic59—24no—
162C22×Dic59—24no—
163C22×Dic59—24no—
164C22×Dic59—22no—
165C22×Dic59—22no—
166C22×Dic59—22no—
167C22×Dic59—24no—
168C22×Dic59—24no—
169C22×Dic59C2×D414yes—
170C22×Dic59C2×D418yes—
171C22×Dic59C2414yes—
172C22×Dic59C2412yes—
173C22×Dic59C2414yes—
174C22×Dic59C2412yes—
175C2×D236—232no—
176C2×D236—28no—
177C2×D236—28no—
178C2×D236C2×Q8116yescomplemented
179C2×C4×D59—232no—
180C2×C4×D59—28no—
181C2×C4×D59—28no—
182C2×C4×D59—216no—
183C2×C4×D59—28no—
184C2×C4×D59—28no—
185C2×C4×D59—28no—
186C2×C4×D59—216no—
187C2×C4×D59—48no—
188C2×C4×D59—432no—
189C2×C4×D59—416no—
190C2×C4×D59C2×D4116yes—
191C4⋊C4×C59—28no—
192C42×C59—28no—
193(C2×D59)⋊C4—28no—
194(C2×D59)⋊C4—216no—
195(C2×D59)⋊C4—28no—
196(C2×D59)⋊C4—216no—
197(C2×D59)⋊C4—48no—
198C4⋊Dic59—28no—
199C4⋊Dic59—28no—
200C4⋊Dic59C2×D4116yescomplemented
201Dic59⋊C4—216no—
202Dic59⋊C4—216no—
203Dic59⋊C4—216no—
204Dic59⋊C4—48no—
205C23×C59C22×D412yes—
206C23×C59C22×D412yes—
207C23×C59C22×Q812yes—
208C23×C59C2×#4112yes—
209C23×C59C2×#4112yes—
210C23×C59H(5,𝔽2)12yes—
211C23×C592−1+412yes—
212C23×C59C2511yescharacteristic
213C22×D59—28no—
214C22×D59—28no—
215C22×D59—28no—
216C22×D59—28no—
217C22×D59—28no—
218C22×D59—28no—
219C22×D59—22no—
220C22×D59—22no—
221C22×D59—22no—
222C22×D59—22no—
223C22×D59—28no—
224C22×D59—28no—
225C22×D59—28no—
226C22×D59—22no—
227C22×D59—22no—
228C22×D59—22no—
229C22×D59—22no—
230C22×D59—22no—
231C22×D59—22no—
232C22×D59—44no—
233C22×D59—44no—
234C22×D59—44no—
235C22×D59—44no—
236C22×D59C22⋊Q8116yescomplemented
237C22×D59C22×D414yes—
238C22×D59C22×Q814yes—
239C22×D59C22×Q814yes—
240C22×D59C2×#4114yes—
241Q8×C59—416no—
242C2×C4×C59—28no—
243C2×C4×C59—22no—
244C2×C4×C59—22no—
245C2×C4×C59—24no—
246C2×C4×C59—24no—
247C2×C4×C59—24no—
248C2×C4×C59—22no—
249C2×C4×C59—24no—
250C2×C4×C59—24no—
251C2×C4×C59—22no—
252C2×C4×C59—24no—
253C2×C4×C59—22no—
254C2×C4×C59—48no—
255C2×C4×C59—44no—
256C2×C4×C59—48no—
257C2×C4×C59#121116yes—
258C2×C4×C59C22×D414yes—
259C2×C4×C59C22×D414yes—
260C2×C4×C59C22×Q814yes—
261C2×C4×C59C2×#4114yes—
262C2×Dic59—28no—
263C2×Dic59—216no—
264C2×Dic59—22no—
265C2×Dic59—24no—
266C2×Dic59—22no—
267C2×Dic59—24no—
268C2×Dic59—22no—
269C2×Dic59—24no—
270C2×Dic59—22no—
271C2×Dic59—22no—
272C2×Dic59—24no—
273C2×Dic59—24no—
274C2×Dic59—44no—
275C2×Dic59—48no—
276C2×Dic59C22×D414yes—
277C2×Dic59C22×D418yes—
278D236—232no—
279C4×D59—232no—
280C4×D59—432no—
281C4×D59—416no—
282C2×#2417—591nomaximal, Sylow
283C22×C59C2×#12114yes—
284C22×C59C2×C22⋊Q814yes—
285C22×C59#53714yes—
286C22×C59#54614yes—
287C22×C59D4×Q814yes—
288C22×C59#55214yes—
289C22×C59#55414yes—
290C22×C59C23×D411yescharacteristic
291C22×C59C23×D411yescharacteristic
292C22×C59C23×Q811yescharacteristic
293C22×C59C22×#4111yescharacteristic
294C22×C59C22×#4111yescharacteristic
295C22×C59C2×H(5,𝔽2)11yescharacteristic
296C22×C59C2×2−1+411yescharacteristic
297C2×D59—24no—
298C2×D59—232no—
299C2×D59—24no—
300C2×D59—24no—
301C2×D59—24no—
302C2×D59—24no—
303C2×D59—24no—
304C2×D59—24no—
305C2×D59—24no—
306C2×D59—24no—
307C2×D59—42no—
308C2×D59—416no—
309C2×D59—42no—
310C2×D59—42no—
311C2×D59—42no—
312C2×D59C2×C22⋊Q818yescomplemented
313C4×C59—24no—
314C4×C59—44no—
315C4×C59—42no—
316C4×C59—44no—
317C4×C59C2×#12118yes—
318Dic59—24no—
319Dic59—28no—
320Dic59—42no—
321Dic59—44no—
322C22×C22⋊Q8—591no—
323C22×C22⋊Q8—591no—
324C22×C4×D4—591no—
325C23×C4⋊C4—591no—
326#2417—5916no—
327C2×#398—592no—
328C2×#396—592no—
329C2×#391D5911yescharacteristic, complemented
330C2×#389—591no—
331C2×#386—592no—
332C2×#380—592no—
333C2×#380—591no—
334C2×C59#241718yescomplemented
335C2×C59C22×#12111yescharacteristic
336C2×C59C22×C22⋊Q811yescharacteristic
337C2×C59C2×#53711yescharacteristic
338C2×C59C2×#54611yescharacteristic
339C2×C59C2×D4×Q811yescharacteristic
340C2×C59C2×#55211yescharacteristic
341C2×C59C2×#55411yescharacteristic
342D59—28no—
343D59—44no—
344C23×Q8C2×D5911yescharacteristic
345C23×D4—591no—
346C24×C4—591no—
347C24×C4—591no—
348C24×C4—592no—
349C2×C22⋊Q8—598no—
350C2×C22⋊Q8—598no—
351C2×C22⋊Q8—1188no—
352C2×C22⋊Q8—1188no—
353C2×C4×D4—598no—
354C2×C4×D4—1188no—
355C22×C4⋊C4—591no—
356C22×C4⋊C4—592no—
357C22×C4⋊C4—592no—
358C22×C4⋊C4—591no—
359C22×C4⋊C4—592no—
360C22×C4⋊C4—591no—
361C22×C4⋊C4—592no—
362C22×C4⋊C4—598no—
363C22×C4⋊C4—1188no—
364C22×C4⋊C4C2×D5911yescharacteristic
365C22×C22⋊C4—591no—
366C22×C22⋊C4—592no—
367C22×C22⋊C4—591no—
368C22×C22⋊C4—592no—
369C22×C22⋊C4—592no—
370C22×C42C2×D5911yescharacteristic
371#398—5916no—
372#396—5916no—
373#391C2×D5918yescomplemented
374#389—598no—
375#386—5916no—
376#380—598no—
377#380—5916no—
378C2×#95—592no—
379C2×#95—592no—
380C2×#95C2×D5912yes—
381C2×#95C2×D5912yes—
382C59C2×#241711yescharacteristic, complemented, Sylow
383C25—591no—
384C25—591no—
385C22×Q8—24no—
386C22×Q8—24no—
387C22×Q8—24no—
388C22×Q8C22×D5914yes—
389C22×D4—598no—
390C22×D4—594no—
391C22×D4—1184no—
392C22×D4—1184no—
393C23×C4—591no—
394C23×C4—592no—
395C23×C4—598no—
396C23×C4—594no—
397C23×C4—592no—
398C23×C4—591no—
399C23×C4—594no—
400C23×C4—598no—
401C23×C4—1188no—
402C23×C4—1188no—
403C23×C4—1184no—
404C23×C4—1184no—
405C23×C4—1184no—
406C23×C4—1184no—
407C23×C4—1184no—
408C23×C4—2364no—
409C23×C4C22×D5912yes—
410C23×C4C22×D5911yescharacteristic
411C23×C4C22×D5912yes—
412C23×C4C22×D5911yescharacteristic
413C23×C4C22×D5911yescharacteristic
414C22⋊Q8—11832no—
415C22⋊Q8—11832no—
416C4×D4—11832no—
417C2×C4⋊C4—24no—
418C2×C4⋊C4—598no—
419C2×C4⋊C4—594no—
420C2×C4⋊C4—598no—
421C2×C4⋊C4—594no—
422C2×C4⋊C4—594no—
423C2×C4⋊C4—598no—
424C2×C4⋊C4—598no—
425C2×C4⋊C4—598no—
426C2×C4⋊C4—11832no—
427C2×C4⋊C4—1188no—
428C2×C4⋊C4—1184no—
429C2×C4⋊C4—1188no—
430C2×C4⋊C4—1188no—
431C2×C4⋊C4—1184no—
432C2×C4⋊C4—2364no—
433C2×C4⋊C4C22×D5914yes—
434C2×C22⋊C4—594no—
435C2×C22⋊C4—594no—
436C2×C22⋊C4—598no—
437C2×C22⋊C4—598no—
438C2×C22⋊C4—598no—
439C2×C22⋊C4—1184no—
440C2×C22⋊C4—1188no—
441C2×C22⋊C4—1184no—
442C2×C22⋊C4—1188no—
443C2×C22⋊C4—2364no—
444C2×C42—24no—
445C2×C42C22×D5914yes—
446#95—598no—
447#95—598no—
448#95C22×D5918yes—
449#95C22×D5918yes—
450C24—594no—
451C24—594no—
452C24—594no—
453C24—592no—
454C24—594no—
455C24—592no—
456C24—1182no—
457C24—1182no—
458C24—1182no—
459C24—1182no—
460C24—1182no—
461C24—1182no—
462C24—1182no—
463C24—1182no—
464C24—1182no—
465C24—1182no—
466C24C23×D5911yescharacteristic
467C2×Q8—28no—
468C2×Q8—28no—
469C2×Q8—28no—
470C2×Q8—416no—
471C2×D4—5916no—
472C2×D4—1188no—
473C2×D4—11832no—
474C2×D4—1188no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—598no—
487C22×C4—594no—
488C22×C4—594no—
489C22×C4—592no—
490C22×C4—5916no—
491C22×C4—594no—
492C22×C4—592no—
493C22×C4—11816no—
494C22×C4—11816no—
495C22×C4—1182no—
496C22×C4—1184no—
497C22×C4—1182no—
498C22×C4—1184no—
499C22×C4—11832no—
500C22×C4—1188no—
501C22×C4—1188no—
502C22×C4—1184no—
503C22×C4—1182no—
504C22×C4—1182no—
505C22×C4—1182no—
506C22×C4—1184no—
507C22×C4—1184no—
508C22×C4—1188no—
509C22×C4—1188no—
510C22×C4—1188no—
511C22×C4—2368no—
512C22×C4—23632no—
513C22×C4—23616no—
514C22×C4#1174568514yes—
515C22×C4D4×D5914yes—
516C22×C4D4×D5914yes—
517C22×C4Q8×D5914yes—
518C22×C4C23×D5914yes—
519C22×C4C23×D5912yes—
520C22×C4C23×D5914yes—
521C22×C4C23×D5912yes—
522C22×C4C23×D5912yes—
523C4⋊C4—28no—
524C4⋊C4—5916no—
525C4⋊C4—11816no—
526C4⋊C4—1188no—
527C4⋊C4—11816no—
528C4⋊C4—11816no—
529C4⋊C4—1188no—
530C4⋊C4—2368no—
531C22⋊C4—1188no—
532C22⋊C4—11816no—
533C22⋊C4—1188no—
534C22⋊C4—11816no—
535C22⋊C4—2368no—
536C42—28no—
537C23—5916no—
538C23—594no—
539C23—594no—
540C23—594no—
541C23—594no—
542C23—1188no—
543C23—1182no—
544C23—1182no—
545C23—1182no—
546C23—1182no—
547C23—1188no—
548C23—1188no—
549C23—1188no—
550C23—1188no—
551C23—1188no—
552C23—1188no—
553C23—1182no—
554C23—1182no—
555C23—1182no—
556C23—1182no—
557C23—1182no—
558C23—1182no—
559C23—1188no—
560C23—1188no—
561C23—2364no—
562C23—2364no—
563C23—2364no—
564C23—2364no—
565C23C2×D4×D5912yes—
566C23C2×D4×D5912yes—
567C23C2×Q8×D5912yes—
568C23#41×D5912yes—
569C23C2×#1174568512yes—
570C23#1427377312yes—
571C23#1427377512yes—
572C23C24×D5911yescharacteristic
573Q8—416no—
574D4—11832no—
575C2×C4—28no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—48no—
588C2×C4—44no—
589C2×C4—48no—
590C2×C4—598no—
591C2×C4—594no—
592C2×C4—1188no—
593C2×C4—1182no—
594C2×C4—1184no—
595C2×C4—1182no—
596C2×C4—1184no—
597C2×C4—11816no—
598C2×C4—11832no—
599C2×C4—1184no—
600C2×C4—1182no—
601C2×C4—1182no—
602C2×C4—1182no—
603C2×C4—1184no—
604C2×C4—1184no—
605C2×C4—23632no—
606C2×C4—2364no—
607C2×C4—2368no—
608C2×C4—23616no—
609C2×C4#14273700116yes—
610C2×C4C2×D4×D5914yes—
611C2×C4C2×D4×D5914yes—
612C2×C4C2×Q8×D5914yes—
613C2×C4C2×#1174568514yes—
614C22—598no—
615C22—11832no—
616C22—1184no—
617C22—1184no—
618C22—1184no—
619C22—1184no—
620C22—1184no—
621C22—1184no—
622C22—1184no—
623C22—1184no—
624C22—1184no—
625C22—23616no—
626C22—2362no—
627C22—2362no—
628C22—2362no—
629C22—2362no—
630C22C2×#1427370014yes—
631C22C22⋊Q8×D5914yes—
632C22#1683798214yes—
633C22#1683804514yes—
634C22#1683806714yes—
635C22#1683809314yes—
636C22#1683811214yes—
637C22C22×D4×D5911yescharacteristic
638C22C22×D4×D5911yescharacteristic
639C22C22×Q8×D5911yescharacteristic
640C22C2×#41×D5911yescharacteristic
641C22C22×#1174568511yescharacteristic
642C22C2×#1427377311yescharacteristic
643C22C2×#1427377511yescharacteristic
644C4—24no—
645C4—44no—
646C4—44no—
647C4—42no—
648C4—1188no—
649C4—1184no—
650C4—2362no—
651C4—2364no—
652C4C2×#1427370018yes—
653C2—1188no—
654C2—2364no—
655C2#2142755018yesdirect product factor
656C2C22×#1427370011yescharacteristic
657C2C2×C22⋊Q8×D5911yescharacteristic
658C2C2×#1683798211yescharacteristic
659C2C2×#1683804511yescharacteristic
660C2C2×#1683806711yescharacteristic
661C2C2×#1683809311yescharacteristic
662C2C2×#1683811211yescharacteristic
subgroupG/H
centerC24C23×D59
commutator, cosocleC23×C59C25
FrattiniC23C24×D59
FittingC2×C59×#391C2
socleC24×C59C24
prime radicalC23×D236C22
hypercenterC2×#391D59
hypocenterC59C2×#2417
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C24 ◁ C2×#391

Complements

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

NH ≅ G/Ntype
1. C22×#14273703C2semidirect
2. C22×#14273703C2semidirect
4. C22×C4⋊C4×D59C2semidirect
5. #21427550C2direct (N × H)
6. C2×#16837336C2semidirect
7. C2×#16837326C2semidirect
8. C2×#16837300C2semidirect
10. C2×#16837261C2semidirect
11. C2×#16837259C2semidirect
12. C2×C59×#391C2semidirect
19. C2×#14273703C22semidirect
20. C2×#14273703C22semidirect
31. C2×C4⋊C4×D59C22semidirect
37. #16837336C22semidirect
38. #16837326C22semidirect
39. #16837300C22semidirect
41. #16837261C22semidirect
42. #16837259C22semidirect
48. C59×#391C22semidirect
55. C22×D236Q8semidirect
78. C2×C4⋊Dic59D4semidirect
178. C2×D236C2×Q8semidirect
200. C4⋊Dic59C2×D4semidirect
236. C22×D59C22⋊Q8semidirect
312. C2×D59C2×C22⋊Q8semidirect
329. C2×#391D59semidirect
334. C2×C59#2417semidirect
373. #391C2×D59semidirect
382. C59C2×#2417semidirect
655. C2#21427550direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#142737032
C22×C4×D2362
C22×C4⋊C4×D592
#214275502
C2×#168373362
C2×#168373262
C2×#168373002
C2×#168372802
C2×#168372612
C2×#168372592
C2×C59×#3912
C2×#241759