Finite Group Databasebeta

← C4×#19127957 #35411055

Subgroups — C4×#19127957 #35411055

Order 21248.

1002 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
1C2×#19127957C211yesmaximal, characteristic
2C2×C4×#13050580C211yesmaximal, characteristic, complemented
3C2×C4×#13050574C211yesmaximal, characteristic
4C4×#14581771C211yesmaximal, characteristic
5#24908333C211yesmaximal, characteristic, complemented
6#24908203C211yesmaximal, characteristic, complemented
7#24908156C211yesmaximal, characteristic, complemented
8#24908152C211yesmaximal, characteristic, complemented
9#24907897C211yesmaximal, characteristic
10#24907894C211yesmaximal, characteristic
11#24907494C211yesmaximal, characteristic
12C4×#14581723C211yesmaximal, characteristic, complemented
13C4×#14581715C211yesmaximal, characteristic, complemented
14C4×#14581716C211yesmaximal, characteristic, complemented
15C4×C22⋊Q8×C83C211yesmaximal, characteristic
16C22×#13050580C2211yescharacteristic
17C22×#13050574C2211yescharacteristic
18C22×#13050574C2211yescharacteristic
19C2×#14581771C2211yescharacteristic
20C2×C4×Dic166C2211yescharacteristic
21#19127957C418yesdirect product factor
22C4×#13050580—24no—
23C2×#14581725C2211yescharacteristic
24C2×#14581723C2211yescharacteristic
25C2×#14581723C2211yescharacteristic
26C2×#14581716C2211yescharacteristic
27C2×#14581716C2211yescharacteristic
28C2×#14581716C2211yescharacteristic
29C2×#14581715C2211yescharacteristic
30C2×#14581715C2211yescharacteristic
31C2×#14581715C2211yescharacteristic
32C4×#13050574—24no—
33C2×#14581703C2211yescharacteristic
34C2×#14581703C2211yescharacteristic
35C2×C4×C83⋊C8C2211yescharacteristic
36C2×C4×C83⋊C8C2211yescharacteristic
37#19127607C2211yescharacteristic
38#19127599C2211yescharacteristic
39#19127585—21no—
40#19127574—21no—
41#19127561C2211yescharacteristic
42C4×Dic83⋊C4—21no—
43C4×C4⋊Dic83C2211yescharacteristic
44C4×C22⋊Dic83—21no—
45#19127463C2211yescharacteristic
46#19127463C2211yescharacteristic
47#19127463C2211yescharacteristic
48#19127463C2211yescharacteristic
49#19127463C2211yescharacteristic
50#19127463C2211yescharacteristic
51C2×C22⋊Q8×C83C2211yescharacteristic
52C2×C4×Q8×C83C2211yescharacteristic
53C22×C42×C83C2211yescharacteristic
54#391×C83C2211yescharacteristic
55#389×C83C2211yescharacteristic
56#387×C83—21no—
57#385×C83—21no—
58#380×C83C2211yescharacteristic
59C4×C4⋊C4×C83—21no—
60C4×C4⋊C4×C83C2211yescharacteristic
61C4×C22⋊C4×C83—21no—
62C22×Dic166C2311yescharacteristic
63C2×#13050580—22no—
64C2×#13050580—22no—
65C2×#13050580C2×C414yescomplemented
66C2×#13050574—22no—
67C2×#13050574—22no—
68C2×#13050574—22no—
69C2×#13050574—22no—
70C2×#13050574—22no—
71C2×#13050574C2×C414yes—
72C22×C83⋊C8C2311yescharacteristic
73C22×C83⋊C8C2311yescharacteristic
74C22×C83⋊C8C2311yescharacteristic
75C22×C83⋊C8C2311yescharacteristic
76#14581771—22no—
77#14581771C2×C414yes—
78C4×Dic166—22no—
79C4×Dic166—22no—
80C2×C4⋊Dic83C2311yescharacteristic
81C2×C4⋊Dic83C2311yescharacteristic
82C2×C4⋊Dic83C2311yescharacteristic
83C2×Dic83⋊C4—21no—
84C2×Dic83⋊C4—21no—
85C2×Dic83⋊C4—21no—
86C2×C22⋊Dic83—21no—
87C2×C22⋊Dic83—21no—
88C2×C4×Dic83—21no—
89C2×C4×Dic83—21no—
90#14581725—22no—
91#14581723—22no—
92#14581723C2×C414yescomplemented
93#14581716—22no—
94#14581716—22no—
95#14581716C2×C414yescomplemented
96#14581715—22no—
97#14581715—22no—
98#14581715C2×C414yescomplemented
99#14581703—22no—
100#14581703—22no—
101C4×C83⋊C8—22no—
102C4×C83⋊C8D414yes—
103C83⋊#95—21no—
104C83⋊#95—21no—
105C83⋊#95—21no—
106C83⋊#95—21no—
107C83⋊#95—21no—
108C22×Q8×C83C2311yescharacteristic
109C23×C4×C83D411yescharacteristic
110C23×C4×C83D411yescharacteristic
111C23×C4×C83C2311yescharacteristic
112C22⋊Q8×C83—22no—
113C22⋊Q8×C83C2×C414yes—
114C4×Q8×C83—22no—
115C4×Q8×C83—22no—
116C2×C4⋊C4×C83—21no—
117C2×C4⋊C4×C83—21no—
118C2×C4⋊C4×C83—21no—
119C2×C4⋊C4×C83C2311yescharacteristic
120C2×C4⋊C4×C83C2311yescharacteristic
121C2×C4⋊C4×C83C2311yescharacteristic
122C2×C22⋊C4×C83—21no—
123C2×C22⋊C4×C83—21no—
124C2×C42×C83—22no—
125C2×C42×C83—22no—
126C2×C42×C83—21no—
127C2×C42×C83—21no—
128C2×C42×C83D411yescharacteristic
129C2×C42×C83D411yescharacteristic
130C2×C42×C83C2311yescharacteristic
131C2×C42×C83C2311yescharacteristic
132#95×C83—21no—
133#95×C83—21no—
134#95×C83—21no—
135#95×C83—21no—
136#95×C83—21no—
137C2×Dic166—21no—
138C2×Dic166—21no—
139C2×Dic166—21no—
140C2×Dic166—21no—
141C2×Dic166—21no—
142C2×Dic166C22×C412yes—
143C22×Dic83—21no—
144C22×Dic83—21no—
145C22×Dic83—21no—
146C22×Dic83—21no—
147#13050580—28no—
148#13050574—28no—
149#13050574—28no—
150C2×C83⋊C8—21no—
151C2×C83⋊C8—21no—
152C2×C83⋊C8—21no—
153C2×C83⋊C8—21no—
154C2×C83⋊C8—21no—
155C2×C83⋊C8—21no—
156C2×C83⋊C8C22×C412yes—
157C2×C83⋊C8C22×C412yes—
158C2×C83⋊C8C2×D412yes—
159C2×C83⋊C8C2×D412yes—
160C2×C83⋊C8#4112yes—
161C2×C83⋊C8#4112yes—
162C4⋊Dic83—21no—
163C4⋊Dic83—21no—
164C4⋊Dic83—21no—
165C4⋊Dic83—21no—
166C4⋊Dic83—21no—
167C4⋊Dic83C22×C412yes—
168Dic83⋊C4—24no—
169Dic83⋊C4—42no—
170Dic83⋊C4—42no—
171C22⋊Dic83—24no—
172C22⋊Dic83—42no—
173C4×Dic83—42no—
174C4×Dic83—42no—
175C24×C83C2×D411yescharacteristic
176C2×Q8×C83—21no—
177C2×Q8×C83—21no—
178C2×Q8×C83—21no—
179C2×Q8×C83—21no—
180C2×Q8×C83—21no—
181C2×Q8×C83C22×C412yes—
182C22×C4×C83—21no—
183C22×C4×C83—21no—
184C22×C4×C83—21no—
185C22×C4×C83—21no—
186C22×C4×C83—21no—
187C22×C4×C83—21no—
188C22×C4×C83—22no—
189C22×C4×C83—22no—
190C22×C4×C83—22no—
191C22×C4×C83—22no—
192C22×C4×C83—21no—
193C22×C4×C83—21no—
194C22×C4×C83—41no—
195C22×C4×C83—41no—
196C22×C4×C83C22×C412yes—
197C22×C4×C83C2×D411yescharacteristic
198C22×C4×C83C2×D411yescharacteristic
199C22×C4×C83C2×D411yescharacteristic
200C22×C4×C83C2×D411yescharacteristic
201C22×C4×C83C2×D411yescharacteristic
202C22×C4×C83#4112yes—
203C22×C4×C83C2411yescharacteristic
204C4⋊C4×C83—24no—
205C4⋊C4×C83—21no—
206C4⋊C4×C83—21no—
207C4⋊C4×C83—21no—
208C4⋊C4×C83—21no—
209C4⋊C4×C83—21no—
210C4⋊C4×C83—42no—
211C4⋊C4×C83—42no—
212C4⋊C4×C83C22×C412yes—
213C22⋊C4×C83—24no—
214C22⋊C4×C83—42no—
215C42×C83—22no—
216C42×C83—22no—
217C42×C83—21no—
218C42×C83—21no—
219C42×C83—42no—
220C42×C83—42no—
221C42×C83C2×D412yes—
222C42×C83#4112yes—
223C23×C83—21no—
224C23×C83—21no—
225C23×C83—21no—
226C23×C83—21no—
227C23×C83—21no—
228C23×C83—21no—
229C23×C83C4×D412yes—
230C23×C83C22×D411yescharacteristic
231Q8×C83—22no—
232Q8×C83—22no—
233Q8×C83—41no—
234Q8×C83—41no—
235C2×C4×C83—21no—
236C2×C4×C83—21no—
237C2×C4×C83—21no—
238C2×C4×C83—21no—
239C2×C4×C83—22no—
240C2×C4×C83—22no—
241C2×C4×C83—22no—
242C2×C4×C83—22no—
243C2×C4×C83—22no—
244C2×C4×C83—22no—
245C2×C4×C83—21no—
246C2×C4×C83—21no—
247C2×C4×C83—21no—
248C2×C4×C83—21no—
249C2×C4×C83—21no—
250C2×C4×C83—21no—
251C2×C4×C83—44no—
252C2×C4×C83—41no—
253C2×C4×C83—41no—
254C2×C4×C83—41no—
255C2×C4×C83—41no—
256C2×C4×C83—44no—
257C2×C4×C83—41no—
258C2×C4×C83—41no—
259C2×C4×C83—41no—
260C2×C4×C83—41no—
261C2×C4×C83—41no—
262C2×C4×C83—41no—
263C2×C4×C83C4×D412yes—
264C2×C4×C83#12112yes—
265C2×C4×C83#12112yes—
266C2×C4×C83#13712yes—
267C2×C4×C83#13712yes—
268C2×C4×C83C23×C411yescharacteristic
269C2×C4×C83C22×D411yescharacteristic
270C2×C4×C83C2×#4111yescharacteristic
271C2×C4×C83C2×#4111yescharacteristic
272C2×C4×C83C2×#4111yescharacteristic
273C2×C4×C83C2×#4111yescharacteristic
274C2×Dic83—22no—
275C2×Dic83—22no—
276C2×Dic83—41no—
277C2×Dic83—41no—
278C2×Dic83—41no—
279C2×Dic83—41no—
280C2×Dic83—41no—
281C2×Dic83—41no—
282C2×Dic83—41no—
283C2×Dic83—41no—
284C2×Dic83—41no—
285C2×Dic83—41no—
286Dic166—22no—
287Dic166—22no—
288Dic166—41no—
289Dic166—41no—
290C83⋊C8—22no—
291C83⋊C8—22no—
292C83⋊C8—22no—
293C83⋊C8C4×D414yes—
294C22×C83—22no—
295C22×C83—22no—
296C22×C83—22no—
297C22×C83—41no—
298C22×C83—41no—
299C22×C83—41no—
300C22×C83—41no—
301C22×C83C2×C4×D411yescharacteristic
302C22×C83C2×#12111yescharacteristic
303C22×C83#53211yescharacteristic
304C22×C83C2×#13711yescharacteristic
305C22×C83C2×#13711yescharacteristic
306C22×C83#57511yescharacteristic
307C22×C83#57511yescharacteristic
308C4×C83—22no—
309C4×C83—22no—
310C4×C83—42no—
311C4×C83—41no—
312C4×C83—41no—
313C4×C83—42no—
314C4×C83—81no—
315C4×C83—81no—
316C4×C83#47014yescomplemented
317C4×C83C2×C4×D411yescharacteristic
318C4×C83C4×#4111yescharacteristic
319C4×C83#52511yescharacteristic
320C4×C83#52911yescharacteristic
321Dic83—42no—
322Dic83—42no—
323Dic83—81no—
324Dic83—81no—
325C4×#470—831nomaximal, Sylow
326C2×C83—42no—
327C2×C83C4×#12111yescharacteristic
328C2×C83C4×#13711yescharacteristic
329C2×C83C4×#13711yescharacteristic
330C2×C83C2×#47011yescharacteristic
331C2×C83#305411yescharacteristic
332C2×C83#317211yescharacteristic
333C2×C83#317211yescharacteristic
334C2×#470—831no—
335C2×C4×Q16—831no—
336C2×C4×M16—831no—
337C4×C22⋊Q8—831no—
338C4×C22⋊Q8D8311yescharacteristic
339#1971—831no—
340#1944—831no—
341#1935—831no—
342#1935—831no—
343#1894—831no—
344#1894—831no—
345#1809—831no—
346C4×#106—831no—
347C4×#103—831no—
348C4×#103—831no—
349C83C4×#47011yescharacteristic, complemented, Sylow
350C22×Q16—831no—
351C22×M16—831no—
352C22×M16—831no—
353C2×C22⋊Q8—831no—
354C2×C22⋊Q8C2×D8311yescharacteristic
355C2×C4×Q8—831no—
356C2×C4×Q8C2×D8311yescharacteristic
357C22×C42C2×D8311yescharacteristic
358#470—838no—
359C4×Q16—1664no—
360C2×#107—831no—
361C2×#106—831no—
362C2×#106—831no—
363C2×#103—831no—
364C2×#103—831no—
365C2×#103—831no—
366C2×#103—831no—
367C2×#103—831no—
368C2×#103—831no—
369C4×M16—1664no—
370C2×#97—831no—
371C2×#97—831no—
372C2×C4×C8—831no—
373C2×C4×C8—831no—
374#391—831no—
375#391C2×D8311yescharacteristic
376#389—831no—
377#389C2×D8311yescharacteristic
378#387—21no—
379#387—1661no—
380#385—21no—
381#385—1661no—
382#380—831no—
383#380C2×D8311yescharacteristic
384C4×C4⋊C4—21no—
385C4×C4⋊C4—831no—
386C4×C4⋊C4—1661no—
387C4×C4⋊C4C2×D8311yescharacteristic
388C4×C22⋊C4—21no—
389C4×C22⋊C4—1661no—
390#340—831no—
391#340—831no—
392#340—831no—
393#340—831no—
394#340—831no—
395#340—831no—
396C22×Q8—831no—
397C22×Q8C22×D8311yescharacteristic
398C23×C4C22⋊D8311yescharacteristic
399C23×C4C22⋊D8311yescharacteristic
400C23×C4C22×D8311yescharacteristic
401C2×Q16—834no—
402C2×Q16—1662no—
403C2×Q16—1662no—
404C2×M16—834no—
405C2×M16—1662no—
406C2×M16—1662no—
407C2×M16—1662no—
408C2×M16—1662no—
409C2×M16—1662no—
410C22×C8—831no—
411C22×C8—831no—
412C22×C8—831no—
413C22×C8—831no—
414C22⋊Q8—22no—
415C22⋊Q8—834no—
416C22⋊Q8—1662no—
417C22⋊Q8C4×D8314yes—
418C4×Q8—22no—
419C4×Q8—22no—
420C4×Q8—1662no—
421C4×Q8—1662no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—831no—
426C2×C4⋊C4—831no—
427C2×C4⋊C4—831no—
428C2×C4⋊C4—1661no—
429C2×C4⋊C4—1661no—
430C2×C4⋊C4—1661no—
431C2×C4⋊C4C22×D8311yescharacteristic
432C2×C4⋊C4C22×D8311yescharacteristic
433C2×C4⋊C4C22×D8311yescharacteristic
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—1661no—
437C2×C22⋊C4—1661no—
438C2×C42—22no—
439C2×C42—22no—
440C2×C42—21no—
441C2×C42—21no—
442C2×C42—1661no—
443C2×C42—1661no—
444C2×C42C22⋊D8311yescharacteristic
445C2×C42C22⋊D8311yescharacteristic
446C2×C42C22×D8311yescharacteristic
447C2×C42C22×D8311yescharacteristic
448#107—1662no—
449#106—834no—
450#106—1662no—
451#103—834no—
452#103—834no—
453#103—1662no—
454#103—1662no—
455#103—1662no—
456#103—1662no—
457#97—1662no—
458#97—1662no—
459C4×C8—834no—
460C4×C8—1662no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—1661no—
467#95—1661no—
468#95—1661no—
469#95—1661no—
470#95—1661no—
471C24C2×C22⋊D8311yescharacteristic
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—832no—
478C2×Q8—1661no—
479C2×Q8—1661no—
480C2×Q8—1661no—
481C2×Q8—1661no—
482C2×Q8—1661no—
483C2×Q8C2×C4×D8312yes—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—41no—
497C22×C4—41no—
498C22×C4—1661no—
499C22×C4—1661no—
500C22×C4—1661no—
501C22×C4—1661no—
502C22×C4C2×C4×D8312yes—
503C22×C4C2×C22⋊D8311yescharacteristic
504C22×C4C2×C22⋊D8311yescharacteristic
505C22×C4C2×C22⋊D8311yescharacteristic
506C22×C4C2×C22⋊D8311yescharacteristic
507C22×C4C2×C22⋊D8311yescharacteristic
508C22×C4#1305059012yes—
509C22×C4C23×D8311yescharacteristic
510Q16—1668no—
511M16—1668no—
512M16—1668no—
513C2×C8—832no—
514C2×C8—832no—
515C2×C8—832no—
516C2×C8—832no—
517C2×C8—832no—
518C2×C8—832no—
519C2×C8—1661no—
520C2×C8—1661no—
521C2×C8—1661no—
522C2×C8—1661no—
523C2×C8—1661no—
524C2×C8—1661no—
525C4⋊C4—21no—
526C4⋊C4—24no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—42no—
532C4⋊C4—42no—
533C4⋊C4—3322no—
534C4⋊C4—3322no—
535C4⋊C4—832no—
536C4⋊C4—1661no—
537C4⋊C4—1661no—
538C4⋊C4—1661no—
539C4⋊C4—1661no—
540C4⋊C4—1661no—
541C4⋊C4—1664no—
542C4⋊C4C2×C4×D8312yes—
543C22⋊C4—24no—
544C22⋊C4—42no—
545C22⋊C4—3322no—
546C22⋊C4—1664no—
547C42—22no—
548C42—22no—
549C42—21no—
550C42—21no—
551C42—42no—
552C42—42no—
553C42—3322no—
554C42—3322no—
555C42D4×D8312yes—
556C42#1305058912yes—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23C4×C22⋊D8312yes—
564C23C22×C22⋊D8311yescharacteristic
565Q8—22no—
566Q8—22no—
567Q8—41no—
568Q8—41no—
569Q8—3321no—
570Q8—3321no—
571Q8—1662no—
572Q8—1662no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—44no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—44no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—3321no—
602C2×C4—3321no—
603C2×C4—3321no—
604C2×C4—3321no—
605C2×C4—3321no—
606C2×C4—3321no—
607C2×C4—3321no—
608C2×C4—3321no—
609C2×C4—3321no—
610C2×C4—3321no—
611C2×C4—1662no—
612C2×C4—1662no—
613C2×C4C4×C22⋊D8312yes—
614C2×C4#1458176412yes—
615C2×C4#1458176412yes—
616C2×C4#1458182212yes—
617C2×C4#1458182312yes—
618C2×C4C22×C4×D8311yescharacteristic
619C2×C4C2×D4×D8311yescharacteristic
620C2×C4#41×D8311yescharacteristic
621C2×C4#41×D8311yescharacteristic
622C2×C4C2×#1305058911yescharacteristic
623C2×C4C2×#1305059011yescharacteristic
624C8—834no—
625C8—1662no—
626C8—1662no—
627C8—1662no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22C2×C4×C22⋊D8311yescharacteristic
636C22C2×#1458176411yescharacteristic
637C22#1912824711yescharacteristic
638C22C2×#1458182211yescharacteristic
639C22C2×#1458182311yescharacteristic
640C22#1912849911yescharacteristic
641C22#1912849911yescharacteristic
642C4—22no—
643C4—22no—
644C4—42no—
645C4—41no—
646C4—41no—
647C4—42no—
648C4—81no—
649C4—81no—
650C4—3322no—
651C4—3322no—
652C4—6641no—
653C4—6641no—
654C4#1912795714yesdirect product factor
655C4C4×D4×D8311yescharacteristic
656C4C4×#1305058911yescharacteristic
657C4#1912821011yescharacteristic
658C4#1912823111yescharacteristic
659C2—42no—
660C2C4×#1458176411yescharacteristic
661C2C4×#1458182211yescharacteristic
662C2C4×#1458182311yescharacteristic
663C2C2×#1912795711yescharacteristic
664C2#2491706911yescharacteristic
665C2#2491806311yescharacteristic
666C2#2491807011yescharacteristic
subgroupG/H
centerC22×C4C2×C22⋊D83
commutatorC2×C4×C83C23×C4
FrattiniC22×C4C23×D83
FittingC4×C22⋊Q8×C83C2
socleC23×C83C22×D4
prime radicalC24×C83C2×D4
cosocleC22×C4×C83C24
hypercenterC4×C22⋊Q8D83
hypocenterC83C4×#470
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22×C4 ◁ C22×C42 ◁ C4×C22⋊Q8

Complements

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

NH ≅ G/Ntype
2. C2×C4×#13050580C2semidirect
5. #24908333C2semidirect
6. #24908203C2semidirect
7. #24908156C2semidirect
8. #24908152C2semidirect
12. C4×#14581723C2semidirect
13. C4×#14581715C2semidirect
14. C4×#14581716C2semidirect
21. #19127957C4direct (N × H)
65. C2×#13050580C2×C4semidirect
92. #14581723C2×C4semidirect
95. #14581716C2×C4semidirect
98. #14581715C2×C4semidirect
316. C4×C83#470semidirect
349. C83C4×#470semidirect
654. C4#19127957direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#191279572
C2×C4×#130505802
C2×C4×#130505742
C4×#145817712
#249083332
#249082032
#249081562
#249081522
#249078972
#249078942
#249074942
C4×#145817232
C4×#145817152
C4×#145817162
C4×C22⋊Q8×C832
C4×#47083