Finite Group Databasebeta

← C2×#21429461 #28760016

Subgroups — C2×#21429461 #28760016

Order 15104.

2614 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×Dic118C211yesmaximal, characteristic
2C22×#14273692C211yesmaximal, characteristic
3#21429461C2116yesmaximal, direct product factor
4C2×#16837344C211yesmaximal, characteristic
5C2×#16837343C211yesmaximal, characteristic
6C2×#16837323C211yesmaximal, characteristic
7C2×#16837322C211yesmaximal, characteristic
8C2×#16837306C211yesmaximal, characteristic
9C2×#16837306C211yesmaximal, characteristic
10C2×#16837299C211yesmaximal, characteristic
11C2×#16837297C211yesmaximal, characteristic
12C2×#16837287C211yesmaximal, characteristic
13C2×#16837286C211yesmaximal, characteristic
14C2×#16837283C211yesmaximal, characteristic
15C2×#16837266C211yesmaximal, characteristic
16C2×C59×#387C211yesmaximal, characteristic
17C23×Dic118C2211yescharacteristic
18C23×Dic118C2211yescharacteristic
19C2×C4×Dic118—28no—
20C2×C4×Dic118C2218yes—
21C2×#14273692—28no—
22C2×#14273692C2218yes—
23C22×C4⋊Dic59C2211yescharacteristic
24C22×C4⋊Dic59C2211yescharacteristic
25C22×Dic59⋊C4C2211yescharacteristic
26C22×Dic59⋊C4C2211yescharacteristic
27C22×Dic59⋊C4C2211yescharacteristic
28C22×Dic59⋊C4C2211yescharacteristic
29C22×Dic59⋊C4C2211yescharacteristic
30C22×Dic59⋊C4C2211yescharacteristic
31C22×Dic59⋊C4C2211yescharacteristic
32C22×Dic59⋊C4C2211yescharacteristic
33C22×C4×Dic59C2211yescharacteristic
34C22×C4×Dic59C2211yescharacteristic
35C22×C4×Dic59C2211yescharacteristic
36C22×C4×Dic59C2211yescharacteristic
37#16837344C2218yes—
38#16837343C2218yes—
39#16837323C2218yes—
40#16837322C2218yes—
41#16837306C2218yes—
42#16837306C2218yes—
43#16837299C2218yes—
44#16837297C2218yes—
45#16837287C2218yes—
46#16837286C2218yes—
47#16837283C2218yes—
48#16837266C2218yes—
49C2×C59⋊#95C2211yescharacteristic
50C2×C59⋊#95C2211yescharacteristic
51C2×C59⋊#95C2211yescharacteristic
52C2×C59⋊#95C2211yescharacteristic
53C2×C59⋊#95C2211yescharacteristic
54C2×C59⋊#95C2211yescharacteristic
55C2×C59⋊#95C2211yescharacteristic
56C2×C59⋊#95C2211yescharacteristic
57C2×C59⋊#95C2211yescharacteristic
58C2×C59⋊#95C2211yescharacteristic
59C2×C59⋊#95C2211yescharacteristic
60C2×C59⋊#95C2211yescharacteristic
61C22×C4⋊C4×C59C2211yescharacteristic
62C22×C4⋊C4×C59C2211yescharacteristic
63C22×C42×C59C2211yescharacteristic
64C59×#387C2218yes—
65C2×#95×C59C2211yescharacteristic
66C2×#95×C59C2211yescharacteristic
67C2×#95×C59C2211yescharacteristic
68C2×#95×C59C2211yescharacteristic
69C22×Dic118—24no—
70C22×Dic118—24no—
71C22×Dic118—24no—
72C22×Dic118—24no—
73C22×Dic118—24no—
74C22×Dic118Q818yescomplemented
75C22×Dic118C2314yes—
76C22×Dic118C2314yes—
77C23×Dic59C2311yescharacteristic
78C23×Dic59C2311yescharacteristic
79C23×Dic59C2311yescharacteristic
80C23×Dic59C2311yescharacteristic
81C23×Dic59C2311yescharacteristic
82C23×Dic59C2311yescharacteristic
83C23×Dic59C2311yescharacteristic
84C23×Dic59C2311yescharacteristic
85C4×Dic118—232no—
86#14273692—232no—
87C2×C4⋊Dic59—24no—
88C2×C4⋊Dic59—24no—
89C2×C4⋊Dic59C2314yes—
90C2×C4⋊Dic59C2314yes—
91C2×Dic59⋊C4—24no—
92C2×Dic59⋊C4—24no—
93C2×Dic59⋊C4—24no—
94C2×Dic59⋊C4—24no—
95C2×Dic59⋊C4—24no—
96C2×Dic59⋊C4—24no—
97C2×Dic59⋊C4—24no—
98C2×Dic59⋊C4—24no—
99C2×Dic59⋊C4C2314yes—
100C2×Dic59⋊C4C2314yes—
101C2×Dic59⋊C4C2314yes—
102C2×Dic59⋊C4C2314yes—
103C2×Dic59⋊C4C2314yes—
104C2×Dic59⋊C4C2314yes—
105C2×Dic59⋊C4C2314yes—
106C2×Dic59⋊C4C2314yes—
107C2×C4×Dic59—24no—
108C2×C4×Dic59—24no—
109C2×C4×Dic59—24no—
110C2×C4×Dic59D418yes—
111C2×C4×Dic59C2314yes—
112C2×C4×Dic59C2314yes—
113C2×C4×Dic59C2314yes—
114C2×C4×Dic59C2314yes—
115C59⋊#95C2314yes—
116C59⋊#95C2314yes—
117C59⋊#95C2314yes—
118C59⋊#95C2314yes—
119C59⋊#95C2314yes—
120C59⋊#95C2314yes—
121C59⋊#95C2314yes—
122C59⋊#95C2314yes—
123C59⋊#95C2314yes—
124C59⋊#95C2314yes—
125C59⋊#95C2314yes—
126C59⋊#95C2314yes—
127C23×C4×C59C2311yescharacteristic
128C23×C4×C59C2311yescharacteristic
129C23×C4×C59C2311yescharacteristic
130C23×C4×C59C2311yescharacteristic
131C23×C4×C59C2311yescharacteristic
132C23×C4×C59C2311yescharacteristic
133C23×C4×C59C2311yescharacteristic
134C2×C4⋊C4×C59—24no—
135C2×C4⋊C4×C59—24no—
136C2×C4⋊C4×C59C2314yes—
137C2×C4⋊C4×C59C2314yes—
138C2×C42×C59—24no—
139C2×C42×C59C2314yes—
140#95×C59C2314yes—
141#95×C59C2314yes—
142#95×C59C2314yes—
143#95×C59C2314yes—
144C24×C59C2411yescharacteristic
145C22×C4×C59—22no—
146C22×C4×C59—22no—
147C22×C4×C59—22no—
148C22×C4×C59—22no—
149C22×C4×C59—22no—
150C22×C4×C59—22no—
151C22×C4×C59—22no—
152C22×C4×C59—22no—
153C22×C4×C59—22no—
154C22×C4×C59—22no—
155C22×C4×C59—22no—
156C22×C4×C59—22no—
157C22×C4×C59—22no—
158C22×C4×C59—22no—
159C22×C4×C59—22no—
160C22×C4×C59—22no—
161C22×C4×C59—22no—
162C22×C4×C59—22no—
163C22×C4×C59C2×D414yes—
164C22×C4×C59C2×Q814yes—
165C22×C4×C59#4114yes—
166C22×C4×C59C2412yes—
167C22×C4×C59C2412yes—
168C22×C4×C59C2412yes—
169C22×C4×C59C2412yes—
170C22×C4×C59C2412yes—
171C22×C4×C59C2412yes—
172C22×C4×C59C2412yes—
173C22×Dic59—22no—
174C22×Dic59—22no—
175C22×Dic59—22no—
176C22×Dic59—22no—
177C22×Dic59—22no—
178C22×Dic59—22no—
179C22×Dic59—22no—
180C22×Dic59—22no—
181C22×Dic59—22no—
182C22×Dic59—22no—
183C22×Dic59—22no—
184C22×Dic59—22no—
185C22×Dic59—22no—
186C22×Dic59—22no—
187C22×Dic59—22no—
188C22×Dic59—22no—
189C22×Dic59—22no—
190C22×Dic59—22no—
191C22×Dic59C2×D414yes—
192C22×Dic59C2×D414yes—
193C22×Dic59C2×Q814yes—
194C22×Dic59C2×Q814yes—
195C22×Dic59#4114yes—
196C22×Dic59#4114yes—
197C22×Dic59C2412yes—
198C22×Dic59C2412yes—
199C22×Dic59C2412yes—
200C22×Dic59C2412yes—
201C22×Dic59C2412yes—
202C22×Dic59C2412yes—
203C22×Dic59C2412yes—
204C22×Dic59C2412yes—
205C2×Dic118—232no—
206C2×Dic118—28no—
207C2×Dic118—232no—
208C2×Dic118—28no—
209C2×Dic118—28no—
210C2×Dic118—28no—
211C2×Dic118—28no—
212C2×Dic118C2×Q8116yescomplemented
213C4⋊C4×C59—28no—
214C4⋊C4×C59—28no—
215C42×C59—28no—
216C4⋊Dic59—28no—
217C4⋊Dic59—28no—
218Dic59⋊C4—28no—
219Dic59⋊C4—28no—
220Dic59⋊C4—28no—
221Dic59⋊C4—28no—
222Dic59⋊C4—28no—
223Dic59⋊C4—28no—
224Dic59⋊C4—28no—
225Dic59⋊C4—28no—
226C4×Dic59—28no—
227C4×Dic59—28no—
228C4×Dic59—28no—
229C4×Dic59C2×D4116yes—
230C23×C59C22×D412yes—
231C23×C59C22×Q812yes—
232C23×C59C2×#4112yes—
233C23×C59C2×#4112yes—
234C23×C59C2×#4112yes—
235C23×C592−1+412yes—
236C23×C592−1+412yes—
237C23×C59C2511yescharacteristic
238C2×C4×C59—28no—
239C2×C4×C59—28no—
240C2×C4×C59—28no—
241C2×C4×C59—22no—
242C2×C4×C59—22no—
243C2×C4×C59—22no—
244C2×C4×C59—22no—
245C2×C4×C59—22no—
246C2×C4×C59—22no—
247C2×C4×C59—22no—
248C2×C4×C59—22no—
249C2×C4×C59—22no—
250C2×C4×C59—22no—
251C2×C4×C59—22no—
252C2×C4×C59—22no—
253C2×C4×C59—22no—
254C2×C4×C59—22no—
255C2×C4×C59—22no—
256C2×C4×C59—22no—
257C2×C4×C59—22no—
258C2×C4×C59—22no—
259C2×C4×C59—44no—
260C2×C4×C59—44no—
261C2×C4×C59—44no—
262C2×C4×C59—44no—
263C2×C4×C59C22×D414yes—
264C2×C4×C59C22×Q814yes—
265C2×C4×C59C2×#4114yes—
266C2×Dic59—28no—
267C2×Dic59—28no—
268C2×Dic59—28no—
269C2×Dic59—22no—
270C2×Dic59—22no—
271C2×Dic59—22no—
272C2×Dic59—22no—
273C2×Dic59—22no—
274C2×Dic59—22no—
275C2×Dic59—22no—
276C2×Dic59—22no—
277C2×Dic59—22no—
278C2×Dic59—22no—
279C2×Dic59—22no—
280C2×Dic59—22no—
281C2×Dic59—22no—
282C2×Dic59—22no—
283C2×Dic59—22no—
284C2×Dic59—22no—
285C2×Dic59—22no—
286C2×Dic59—22no—
287C2×Dic59—44no—
288C2×Dic59—44no—
289C2×Dic59—44no—
290C2×Dic59—44no—
291C2×Dic59C22⋊Q8116yes—
292C2×Dic59C22×D414yes—
293C2×Dic59C22×D414yes—
294C2×Dic59C22×Q814yes—
295C2×Dic59C22×Q814yes—
296C2×Dic59C2×#4114yes—
297C2×Dic59C2×#4114yes—
298Dic118—232no—
299Dic118—232no—
300C2×#2581—591nomaximal, Sylow
301C22×C59C2×C22⋊Q814yes—
302C22×C59#52514yes—
303C22×C59#53614yes—
304C22×C59#55614yes—
305C22×C59#55614yes—
306C22×C59#55714yes—
307C22×C59#55714yes—
308C22×C59C23×D411yescharacteristic
309C22×C59C23×Q811yescharacteristic
310C22×C59C22×#4111yescharacteristic
311C22×C59C22×#4111yescharacteristic
312C22×C59C22×#4111yescharacteristic
313C22×C59C2×2−1+411yescharacteristic
314C22×C59C2×2−1+411yescharacteristic
315C4×C59—24no—
316C4×C59—24no—
317C4×C59—24no—
318C4×C59—42no—
319C4×C59—42no—
320C4×C59—42no—
321C4×C59—42no—
322Dic59—24no—
323Dic59—24no—
324Dic59—24no—
325Dic59—42no—
326Dic59—42no—
327Dic59—42no—
328Dic59—42no—
329Dic59C2×C22⋊Q818yes—
330C22×C4×Q8—591no—
331C22×C4×Q8—591no—
332#2581—5916no—
333C2×#400—591no—
334C2×#400—591no—
335C2×#395—591no—
336C2×#395—591no—
337C2×#391—591no—
338C2×#391—591no—
339C2×#389—591no—
340C2×#389—591no—
341C2×#387—591no—
342C2×#387—591no—
343C2×#387—591no—
344C2×#387D5911yescharacteristic
345C2×#382—591no—
346C2×C59#258118yescomplemented
347C2×C59C22×C22⋊Q811yescharacteristic
348C2×C59C2×#52511yescharacteristic
349C2×C59C2×#53611yescharacteristic
350C2×C59C2×#55611yescharacteristic
351C2×C59C2×#55611yescharacteristic
352C2×C59C2×#55711yescharacteristic
353C2×C59C2×#55711yescharacteristic
354C23×Q8—591no—
355C23×Q8—591no—
356C2×C4×Q8—598no—
357C2×C4×Q8—598no—
358C2×C4×Q8—1188no—
359C2×C4×Q8—1188no—
360C22×C4⋊C4—591no—
361C22×C4⋊C4—591no—
362C22×C4⋊C4—591no—
363C22×C4⋊C4—591no—
364C22×C4⋊C4—591no—
365C22×C4⋊C4—591no—
366C22×C4⋊C4—591no—
367C22×C4⋊C4—591no—
368C22×C4⋊C4—591no—
369C22×C4⋊C4—591no—
370C22×C4⋊C4C2×D5911yescharacteristic
371C22×C4⋊C4C2×D5911yescharacteristic
372C22×C42—591no—
373C22×C42—591no—
374C22×C42—591no—
375C22×C42—591no—
376C22×C42C2×D5911yescharacteristic
377#400—598no—
378#400—598no—
379#395—598no—
380#395—598no—
381#391—598no—
382#391—598no—
383#389—598no—
384#389—598no—
385#387—598no—
386#387—598no—
387#387—598no—
388#387C2×D5918yes—
389#382—598no—
390C2×#95—591no—
391C2×#95—591no—
392C2×#95—591no—
393C2×#95—591no—
394C2×#95—591no—
395C2×#95—591no—
396C2×#95—591no—
397C2×#95—591no—
398C2×#95—591no—
399C2×#95—591no—
400C2×#95—591no—
401C2×#95—591no—
402C2×#95C2×D5911yescharacteristic
403C2×#95C2×D5911yescharacteristic
404C2×#95C2×D5911yescharacteristic
405C2×#95C2×D5911yescharacteristic
406C59C2×#258111yescharacteristic, complemented, Sylow
407C22×Q8—598no—
408C22×Q8—594no—
409C22×Q8—594no—
410C22×Q8—1184no—
411C22×Q8—1184no—
412C22×Q8—1184no—
413C22×Q8—1184no—
414C22×Q8—1184no—
415C23×C4—591no—
416C23×C4—591no—
417C23×C4—591no—
418C23×C4—591no—
419C23×C4—591no—
420C23×C4—591no—
421C23×C4—591no—
422C23×C4—591no—
423C23×C4C22×D5911yescharacteristic
424C23×C4C22×D5911yescharacteristic
425C23×C4C22×D5911yescharacteristic
426C23×C4C22×D5911yescharacteristic
427C23×C4C22×D5911yescharacteristic
428C23×C4C22×D5911yescharacteristic
429C23×C4C22×D5911yescharacteristic
430C4×Q8—11832no—
431C4×Q8—11832no—
432C2×C4⋊C4—24no—
433C2×C4⋊C4—24no—
434C2×C4⋊C4—594no—
435C2×C4⋊C4—594no—
436C2×C4⋊C4—594no—
437C2×C4⋊C4—594no—
438C2×C4⋊C4—594no—
439C2×C4⋊C4—594no—
440C2×C4⋊C4—594no—
441C2×C4⋊C4—594no—
442C2×C4⋊C4—594no—
443C2×C4⋊C4—594no—
444C2×C4⋊C4—1184no—
445C2×C4⋊C4—1184no—
446C2×C4⋊C4—1184no—
447C2×C4⋊C4—1184no—
448C2×C4⋊C4—1184no—
449C2×C4⋊C4—1184no—
450C2×C4⋊C4—1184no—
451C2×C4⋊C4—1184no—
452C2×C4⋊C4—1184no—
453C2×C4⋊C4—1184no—
454C2×C4⋊C4C22×D5914yes—
455C2×C4⋊C4C22×D5914yes—
456C2×C42—24no—
457C2×C42—598no—
458C2×C42—594no—
459C2×C42—594no—
460C2×C42—594no—
461C2×C42—594no—
462C2×C42—1184no—
463C2×C42—1184no—
464C2×C42—1184no—
465C2×C42C22×D5914yes—
466#95—594no—
467#95—594no—
468#95—594no—
469#95—594no—
470#95—594no—
471#95—594no—
472#95—594no—
473#95—594no—
474#95—594no—
475#95—594no—
476#95—594no—
477#95—594no—
478#95C22×D5914yes—
479#95C22×D5914yes—
480#95C22×D5914yes—
481#95C22×D5914yes—
482C24C23×D5911yescharacteristic
483C2×Q8—5916no—
484C2×Q8—1188no—
485C2×Q8—1188no—
486C2×Q8—11832no—
487C2×Q8—1188no—
488C2×Q8—1188no—
489C2×Q8—11832no—
490C2×Q8—1188no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—594no—
510C22×C4—594no—
511C22×C4—594no—
512C22×C4—592no—
513C22×C4—594no—
514C22×C4—594no—
515C22×C4—594no—
516C22×C4—592no—
517C22×C4—592no—
518C22×C4—592no—
519C22×C4—592no—
520C22×C4—592no—
521C22×C4—592no—
522C22×C4—592no—
523C22×C4—1182no—
524C22×C4—1182no—
525C22×C4—1182no—
526C22×C4—1182no—
527C22×C4—1182no—
528C22×C4—1182no—
529C22×C4—1182no—
530C22×C4—1182no—
531C22×C4—1182no—
532C22×C4—1182no—
533C22×C4—1182no—
534C22×C4—1182no—
535C22×C4—1182no—
536C22×C4—1182no—
537C22×C4—1182no—
538C22×C4—1182no—
539C22×C4—1182no—
540C22×C4—1182no—
541C22×C4#1174568514yes—
542C22×C4D4×D5914yes—
543C22×C4Q8×D5914yes—
544C22×C4C23×D5912yes—
545C22×C4C23×D5912yes—
546C22×C4C23×D5912yes—
547C22×C4C23×D5912yes—
548C22×C4C23×D5912yes—
549C22×C4C23×D5912yes—
550C22×C4C23×D5912yes—
551C4⋊C4—28no—
552C4⋊C4—28no—
553C4⋊C4—1188no—
554C4⋊C4—1188no—
555C4⋊C4—1188no—
556C4⋊C4—1188no—
557C4⋊C4—1188no—
558C4⋊C4—1188no—
559C4⋊C4—1188no—
560C4⋊C4—1188no—
561C4⋊C4—1188no—
562C4⋊C4—1188no—
563C42—28no—
564C42—5916no—
565C42—1188no—
566C42—1188no—
567C42—1188no—
568C23C2×D4×D5912yes—
569C23C2×Q8×D5912yes—
570C23#41×D5912yes—
571C23#41×D5912yes—
572C23C2×#1174568512yes—
573C23#1427377412yes—
574C23#1427377412yes—
575C23C24×D5911yescharacteristic
576Q8—11832no—
577Q8—11832no—
578C2×C4—28no—
579C2×C4—28no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—28no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—44no—
600C2×C4—44no—
601C2×C4—44no—
602C2×C4—44no—
603C2×C4—5916no—
604C2×C4—594no—
605C2×C4—594no—
606C2×C4—594no—
607C2×C4—594no—
608C2×C4—594no—
609C2×C4—594no—
610C2×C4—1188no—
611C2×C4—1188no—
612C2×C4—1188no—
613C2×C4—1182no—
614C2×C4—1182no—
615C2×C4—1182no—
616C2×C4—1182no—
617C2×C4—1182no—
618C2×C4—1182no—
619C2×C4—1182no—
620C2×C4—1182no—
621C2×C4—1182no—
622C2×C4—1182no—
623C2×C4—1182no—
624C2×C4—1182no—
625C2×C4—1182no—
626C2×C4—1182no—
627C2×C4—1182no—
628C2×C4—1182no—
629C2×C4—1182no—
630C2×C4—1182no—
631C2×C4—2364no—
632C2×C4—2364no—
633C2×C4—2364no—
634C2×C4—2364no—
635C2×C4C2×D4×D5914yes—
636C2×C4C2×Q8×D5914yes—
637C2×C4C2×#1174568514yes—
638C22C22⋊Q8×D5914yes—
639C22#1683791114yes—
640C22#1683797414yes—
641C22#1683811914yes—
642C22#1683812014yes—
643C22#1683812914yes—
644C22#1683813014yes—
645C22C22×D4×D5911yescharacteristic
646C22C22×Q8×D5911yescharacteristic
647C22C2×#41×D5911yescharacteristic
648C22C2×#41×D5911yescharacteristic
649C22C22×#1174568511yescharacteristic
650C22C2×#1427377411yescharacteristic
651C22C2×#1427377411yescharacteristic
652C4—24no—
653C4—24no—
654C4—24no—
655C4—42no—
656C4—42no—
657C4—42no—
658C4—42no—
659C4—598no—
660C4—1184no—
661C4—1184no—
662C4—1184no—
663C4—2362no—
664C4—2362no—
665C4—2362no—
666C4—2362no—
667C2#2142946118yesdirect product factor
668C2C2×C22⋊Q8×D5911yescharacteristic
669C2C2×#1683791111yescharacteristic
670C2C2×#1683797411yescharacteristic
671C2C2×#1683811911yescharacteristic
672C2C2×#1683812011yescharacteristic
673C2C2×#1683812911yescharacteristic
674C2C2×#1683813011yescharacteristic
subgroupG/H
centerC24C23×D59
commutator, cosocleC23×C59C25
FrattiniC23C24×D59
FittingC2×C59×#387C2
socle, prime radicalC24×C59C24
hypercenterC2×#387D59
hypocenterC59C2×#2581
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C24 ◁ C2×#387

Complements

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

NH ≅ G/Ntype
3. #21429461C2direct (N × H)
74. C22×Dic118Q8semidirect
212. C2×Dic118C2×Q8semidirect
346. C2×C59#2581semidirect
406. C59C2×#2581semidirect
667. C2#21429461direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×Dic1182
C22×#142736922
#214294612
C2×#168373442
C2×#168373432
C2×#168373232
C2×#168373222
C2×#168373062
C2×#168372992
C2×#168372972
C2×#168372872
C2×#168372862
C2×#168372832
C2×#168372662
C2×C59×#3872
C2×#258159