Finite Group Databasebeta

← C4×#17986255 #32004103

Subgroups — C4×#17986255 #32004103

Order 18176.

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×#17986255C211yesmaximal, characteristic
2C2×C4×#11765855C211yesmaximal, characteristic, complemented
3C2×C4×#11765849C211yesmaximal, characteristic
4C4×#14556107C211yesmaximal, characteristic
5#22589210C211yesmaximal, characteristic, complemented
6#22589080C211yesmaximal, characteristic, complemented
7#22589033C211yesmaximal, characteristic, complemented
8#22589029C211yesmaximal, characteristic, complemented
9#22588774C211yesmaximal, characteristic
10#22588771C211yesmaximal, characteristic
11#22588371C211yesmaximal, characteristic
12C4×#14556059C211yesmaximal, characteristic, complemented
13C4×#14556051C211yesmaximal, characteristic, complemented
14C4×#14556052C211yesmaximal, characteristic, complemented
15C4×C22⋊Q8×C71C211yesmaximal, characteristic
16C22×#11765855C2211yescharacteristic
17C22×#11765849C2211yescharacteristic
18C22×#11765849C2211yescharacteristic
19C2×#14556107C2211yescharacteristic
20C2×C4×Dic142C2211yescharacteristic
21#17986255C418yesdirect product factor
22C4×#11765855—24no—
23C2×#14556061C2211yescharacteristic
24C2×#14556059C2211yescharacteristic
25C2×#14556059C2211yescharacteristic
26C2×#14556052C2211yescharacteristic
27C2×#14556052C2211yescharacteristic
28C2×#14556052C2211yescharacteristic
29C2×#14556051C2211yescharacteristic
30C2×#14556051C2211yescharacteristic
31C2×#14556051C2211yescharacteristic
32C4×#11765849—24no—
33C2×#14556039C2211yescharacteristic
34C2×#14556039C2211yescharacteristic
35C2×C4×C71⋊C8C2211yescharacteristic
36C2×C4×C71⋊C8C2211yescharacteristic
37#17985905C2211yescharacteristic
38#17985897C2211yescharacteristic
39#17985883—21no—
40#17985872—21no—
41#17985859C2211yescharacteristic
42C4×Dic71⋊C4—21no—
43C4×C4⋊Dic71C2211yescharacteristic
44C4×C22⋊Dic71—21no—
45#17985761C2211yescharacteristic
46#17985761C2211yescharacteristic
47#17985761C2211yescharacteristic
48#17985761C2211yescharacteristic
49#17985761C2211yescharacteristic
50#17985761C2211yescharacteristic
51C2×C22⋊Q8×C71C2211yescharacteristic
52C2×C4×Q8×C71C2211yescharacteristic
53C22×C42×C71C2211yescharacteristic
54#391×C71C2211yescharacteristic
55#389×C71C2211yescharacteristic
56#387×C71—21no—
57#385×C71—21no—
58#380×C71C2211yescharacteristic
59C4×C4⋊C4×C71—21no—
60C4×C4⋊C4×C71C2211yescharacteristic
61C4×C22⋊C4×C71—21no—
62C22×Dic142C2311yescharacteristic
63C2×#11765855—22no—
64C2×#11765855—22no—
65C2×#11765855C2×C414yescomplemented
66C2×#11765849—22no—
67C2×#11765849—22no—
68C2×#11765849—22no—
69C2×#11765849—22no—
70C2×#11765849—22no—
71C2×#11765849C2×C414yes—
72C22×C71⋊C8C2311yescharacteristic
73C22×C71⋊C8C2311yescharacteristic
74C22×C71⋊C8C2311yescharacteristic
75C22×C71⋊C8C2311yescharacteristic
76#14556107—22no—
77#14556107C2×C414yes—
78C4×Dic142—22no—
79C4×Dic142—22no—
80C2×C4⋊Dic71C2311yescharacteristic
81C2×C4⋊Dic71C2311yescharacteristic
82C2×C4⋊Dic71C2311yescharacteristic
83C2×Dic71⋊C4—21no—
84C2×Dic71⋊C4—21no—
85C2×Dic71⋊C4—21no—
86C2×C22⋊Dic71—21no—
87C2×C22⋊Dic71—21no—
88C2×C4×Dic71—21no—
89C2×C4×Dic71—21no—
90#14556061—22no—
91#14556059—22no—
92#14556059C2×C414yescomplemented
93#14556052—22no—
94#14556052—22no—
95#14556052C2×C414yescomplemented
96#14556051—22no—
97#14556051—22no—
98#14556051C2×C414yescomplemented
99#14556039—22no—
100#14556039—22no—
101C4×C71⋊C8—22no—
102C4×C71⋊C8D414yes—
103C71⋊#95—21no—
104C71⋊#95—21no—
105C71⋊#95—21no—
106C71⋊#95—21no—
107C71⋊#95—21no—
108C22×Q8×C71C2311yescharacteristic
109C23×C4×C71D411yescharacteristic
110C23×C4×C71D411yescharacteristic
111C23×C4×C71C2311yescharacteristic
112C22⋊Q8×C71—22no—
113C22⋊Q8×C71C2×C414yes—
114C4×Q8×C71—22no—
115C4×Q8×C71—22no—
116C2×C4⋊C4×C71—21no—
117C2×C4⋊C4×C71—21no—
118C2×C4⋊C4×C71—21no—
119C2×C4⋊C4×C71C2311yescharacteristic
120C2×C4⋊C4×C71C2311yescharacteristic
121C2×C4⋊C4×C71C2311yescharacteristic
122C2×C22⋊C4×C71—21no—
123C2×C22⋊C4×C71—21no—
124C2×C42×C71—22no—
125C2×C42×C71—22no—
126C2×C42×C71—21no—
127C2×C42×C71—21no—
128C2×C42×C71D411yescharacteristic
129C2×C42×C71D411yescharacteristic
130C2×C42×C71C2311yescharacteristic
131C2×C42×C71C2311yescharacteristic
132#95×C71—21no—
133#95×C71—21no—
134#95×C71—21no—
135#95×C71—21no—
136#95×C71—21no—
137C2×Dic142—21no—
138C2×Dic142—21no—
139C2×Dic142—21no—
140C2×Dic142—21no—
141C2×Dic142—21no—
142C2×Dic142C22×C412yes—
143C22×Dic71—21no—
144C22×Dic71—21no—
145C22×Dic71—21no—
146C22×Dic71—21no—
147#11765855—28no—
148#11765849—28no—
149#11765849—28no—
150C2×C71⋊C8—21no—
151C2×C71⋊C8—21no—
152C2×C71⋊C8—21no—
153C2×C71⋊C8—21no—
154C2×C71⋊C8—21no—
155C2×C71⋊C8—21no—
156C2×C71⋊C8C22×C412yes—
157C2×C71⋊C8C22×C412yes—
158C2×C71⋊C8C2×D412yes—
159C2×C71⋊C8C2×D412yes—
160C2×C71⋊C8#4112yes—
161C2×C71⋊C8#4112yes—
162C4⋊Dic71—21no—
163C4⋊Dic71—21no—
164C4⋊Dic71—21no—
165C4⋊Dic71—21no—
166C4⋊Dic71—21no—
167C4⋊Dic71C22×C412yes—
168Dic71⋊C4—24no—
169Dic71⋊C4—42no—
170Dic71⋊C4—42no—
171C22⋊Dic71—24no—
172C22⋊Dic71—42no—
173C4×Dic71—42no—
174C4×Dic71—42no—
175C24×C71C2×D411yescharacteristic
176C2×Q8×C71—21no—
177C2×Q8×C71—21no—
178C2×Q8×C71—21no—
179C2×Q8×C71—21no—
180C2×Q8×C71—21no—
181C2×Q8×C71C22×C412yes—
182C22×C4×C71—21no—
183C22×C4×C71—21no—
184C22×C4×C71—21no—
185C22×C4×C71—21no—
186C22×C4×C71—21no—
187C22×C4×C71—21no—
188C22×C4×C71—22no—
189C22×C4×C71—22no—
190C22×C4×C71—22no—
191C22×C4×C71—22no—
192C22×C4×C71—21no—
193C22×C4×C71—21no—
194C22×C4×C71—41no—
195C22×C4×C71—41no—
196C22×C4×C71C22×C412yes—
197C22×C4×C71C2×D411yescharacteristic
198C22×C4×C71C2×D411yescharacteristic
199C22×C4×C71C2×D411yescharacteristic
200C22×C4×C71C2×D411yescharacteristic
201C22×C4×C71C2×D411yescharacteristic
202C22×C4×C71#4112yes—
203C22×C4×C71C2411yescharacteristic
204C4⋊C4×C71—24no—
205C4⋊C4×C71—21no—
206C4⋊C4×C71—21no—
207C4⋊C4×C71—21no—
208C4⋊C4×C71—21no—
209C4⋊C4×C71—21no—
210C4⋊C4×C71—42no—
211C4⋊C4×C71—42no—
212C4⋊C4×C71C22×C412yes—
213C22⋊C4×C71—24no—
214C22⋊C4×C71—42no—
215C42×C71—22no—
216C42×C71—22no—
217C42×C71—21no—
218C42×C71—21no—
219C42×C71—42no—
220C42×C71—42no—
221C42×C71C2×D412yes—
222C42×C71#4112yes—
223C23×C71—21no—
224C23×C71—21no—
225C23×C71—21no—
226C23×C71—21no—
227C23×C71—21no—
228C23×C71—21no—
229C23×C71C4×D412yes—
230C23×C71C22×D411yescharacteristic
231Q8×C71—22no—
232Q8×C71—22no—
233Q8×C71—41no—
234Q8×C71—41no—
235C2×C4×C71—21no—
236C2×C4×C71—21no—
237C2×C4×C71—21no—
238C2×C4×C71—21no—
239C2×C4×C71—22no—
240C2×C4×C71—22no—
241C2×C4×C71—22no—
242C2×C4×C71—22no—
243C2×C4×C71—22no—
244C2×C4×C71—22no—
245C2×C4×C71—21no—
246C2×C4×C71—21no—
247C2×C4×C71—21no—
248C2×C4×C71—21no—
249C2×C4×C71—21no—
250C2×C4×C71—21no—
251C2×C4×C71—44no—
252C2×C4×C71—41no—
253C2×C4×C71—41no—
254C2×C4×C71—41no—
255C2×C4×C71—41no—
256C2×C4×C71—44no—
257C2×C4×C71—41no—
258C2×C4×C71—41no—
259C2×C4×C71—41no—
260C2×C4×C71—41no—
261C2×C4×C71—41no—
262C2×C4×C71—41no—
263C2×C4×C71C4×D412yes—
264C2×C4×C71#12112yes—
265C2×C4×C71#12112yes—
266C2×C4×C71#13712yes—
267C2×C4×C71#13712yes—
268C2×C4×C71C23×C411yescharacteristic
269C2×C4×C71C22×D411yescharacteristic
270C2×C4×C71C2×#4111yescharacteristic
271C2×C4×C71C2×#4111yescharacteristic
272C2×C4×C71C2×#4111yescharacteristic
273C2×C4×C71C2×#4111yescharacteristic
274C2×Dic71—22no—
275C2×Dic71—22no—
276C2×Dic71—41no—
277C2×Dic71—41no—
278C2×Dic71—41no—
279C2×Dic71—41no—
280C2×Dic71—41no—
281C2×Dic71—41no—
282C2×Dic71—41no—
283C2×Dic71—41no—
284C2×Dic71—41no—
285C2×Dic71—41no—
286Dic142—22no—
287Dic142—22no—
288Dic142—41no—
289Dic142—41no—
290C71⋊C8—22no—
291C71⋊C8—22no—
292C71⋊C8—22no—
293C71⋊C8C4×D414yes—
294C22×C71—22no—
295C22×C71—22no—
296C22×C71—22no—
297C22×C71—41no—
298C22×C71—41no—
299C22×C71—41no—
300C22×C71—41no—
301C22×C71C2×C4×D411yescharacteristic
302C22×C71C2×#12111yescharacteristic
303C22×C71#53211yescharacteristic
304C22×C71C2×#13711yescharacteristic
305C22×C71C2×#13711yescharacteristic
306C22×C71#57511yescharacteristic
307C22×C71#57511yescharacteristic
308C4×C71—22no—
309C4×C71—22no—
310C4×C71—42no—
311C4×C71—41no—
312C4×C71—41no—
313C4×C71—42no—
314C4×C71—81no—
315C4×C71—81no—
316C4×C71#47014yescomplemented
317C4×C71C2×C4×D411yescharacteristic
318C4×C71C4×#4111yescharacteristic
319C4×C71#52511yescharacteristic
320C4×C71#52911yescharacteristic
321Dic71—42no—
322Dic71—42no—
323Dic71—81no—
324Dic71—81no—
325C4×#470—711nomaximal, Sylow
326C2×C71—42no—
327C2×C71C4×#12111yescharacteristic
328C2×C71C4×#13711yescharacteristic
329C2×C71C4×#13711yescharacteristic
330C2×C71C2×#47011yescharacteristic
331C2×C71#305411yescharacteristic
332C2×C71#317211yescharacteristic
333C2×C71#317211yescharacteristic
334C2×#470—711no—
335C2×C4×Q16—711no—
336C2×C4×M16—711no—
337C4×C22⋊Q8—711no—
338C4×C22⋊Q8D7111yescharacteristic
339#1971—711no—
340#1944—711no—
341#1935—711no—
342#1935—711no—
343#1894—711no—
344#1894—711no—
345#1809—711no—
346C4×#106—711no—
347C4×#103—711no—
348C4×#103—711no—
349C71C4×#47011yescharacteristic, complemented, Sylow
350C22×Q16—711no—
351C22×M16—711no—
352C22×M16—711no—
353C2×C22⋊Q8—711no—
354C2×C22⋊Q8C2×D7111yescharacteristic
355C2×C4×Q8—711no—
356C2×C4×Q8C2×D7111yescharacteristic
357C22×C42C2×D7111yescharacteristic
358#470—718no—
359C4×Q16—1424no—
360C2×#107—711no—
361C2×#106—711no—
362C2×#106—711no—
363C2×#103—711no—
364C2×#103—711no—
365C2×#103—711no—
366C2×#103—711no—
367C2×#103—711no—
368C2×#103—711no—
369C4×M16—1424no—
370C2×#97—711no—
371C2×#97—711no—
372C2×C4×C8—711no—
373C2×C4×C8—711no—
374#391—711no—
375#391C2×D7111yescharacteristic
376#389—711no—
377#389C2×D7111yescharacteristic
378#387—21no—
379#387—1421no—
380#385—21no—
381#385—1421no—
382#380—711no—
383#380C2×D7111yescharacteristic
384C4×C4⋊C4—21no—
385C4×C4⋊C4—711no—
386C4×C4⋊C4—1421no—
387C4×C4⋊C4C2×D7111yescharacteristic
388C4×C22⋊C4—21no—
389C4×C22⋊C4—1421no—
390#340—711no—
391#340—711no—
392#340—711no—
393#340—711no—
394#340—711no—
395#340—711no—
396C22×Q8—711no—
397C22×Q8C22×D7111yescharacteristic
398C23×C4C22⋊D7111yescharacteristic
399C23×C4C22⋊D7111yescharacteristic
400C23×C4C22×D7111yescharacteristic
401C2×Q16—714no—
402C2×Q16—1422no—
403C2×Q16—1422no—
404C2×M16—714no—
405C2×M16—1422no—
406C2×M16—1422no—
407C2×M16—1422no—
408C2×M16—1422no—
409C2×M16—1422no—
410C22×C8—711no—
411C22×C8—711no—
412C22×C8—711no—
413C22×C8—711no—
414C22⋊Q8—22no—
415C22⋊Q8—714no—
416C22⋊Q8—1422no—
417C22⋊Q8C4×D7114yes—
418C4×Q8—22no—
419C4×Q8—22no—
420C4×Q8—1422no—
421C4×Q8—1422no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—711no—
426C2×C4⋊C4—711no—
427C2×C4⋊C4—711no—
428C2×C4⋊C4—1421no—
429C2×C4⋊C4—1421no—
430C2×C4⋊C4—1421no—
431C2×C4⋊C4C22×D7111yescharacteristic
432C2×C4⋊C4C22×D7111yescharacteristic
433C2×C4⋊C4C22×D7111yescharacteristic
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—1421no—
437C2×C22⋊C4—1421no—
438C2×C42—22no—
439C2×C42—22no—
440C2×C42—21no—
441C2×C42—21no—
442C2×C42—1421no—
443C2×C42—1421no—
444C2×C42C22⋊D7111yescharacteristic
445C2×C42C22⋊D7111yescharacteristic
446C2×C42C22×D7111yescharacteristic
447C2×C42C22×D7111yescharacteristic
448#107—1422no—
449#106—714no—
450#106—1422no—
451#103—714no—
452#103—714no—
453#103—1422no—
454#103—1422no—
455#103—1422no—
456#103—1422no—
457#97—1422no—
458#97—1422no—
459C4×C8—714no—
460C4×C8—1422no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—1421no—
467#95—1421no—
468#95—1421no—
469#95—1421no—
470#95—1421no—
471C24C2×C22⋊D7111yescharacteristic
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—712no—
478C2×Q8—1421no—
479C2×Q8—1421no—
480C2×Q8—1421no—
481C2×Q8—1421no—
482C2×Q8—1421no—
483C2×Q8C2×C4×D7112yes—
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—1421no—
499C22×C4—1421no—
500C22×C4—1421no—
501C22×C4—1421no—
502C22×C4C2×C4×D7112yes—
503C22×C4C2×C22⋊D7111yescharacteristic
504C22×C4C2×C22⋊D7111yescharacteristic
505C22×C4C2×C22⋊D7111yescharacteristic
506C22×C4C2×C22⋊D7111yescharacteristic
507C22×C4C2×C22⋊D7111yescharacteristic
508C22×C4#1176586512yes—
509C22×C4C23×D7111yescharacteristic
510Q16—1428no—
511M16—1428no—
512M16—1428no—
513C2×C8—712no—
514C2×C8—712no—
515C2×C8—712no—
516C2×C8—712no—
517C2×C8—712no—
518C2×C8—712no—
519C2×C8—1421no—
520C2×C8—1421no—
521C2×C8—1421no—
522C2×C8—1421no—
523C2×C8—1421no—
524C2×C8—1421no—
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—2842no—
534C4⋊C4—2842no—
535C4⋊C4—712no—
536C4⋊C4—1421no—
537C4⋊C4—1421no—
538C4⋊C4—1421no—
539C4⋊C4—1421no—
540C4⋊C4—1421no—
541C4⋊C4—1424no—
542C4⋊C4C2×C4×D7112yes—
543C22⋊C4—24no—
544C22⋊C4—42no—
545C22⋊C4—2842no—
546C22⋊C4—1424no—
547C42—21no—
548C42—21no—
549C42—22no—
550C42—22no—
551C42—42no—
552C42—42no—
553C42—2842no—
554C42—2842no—
555C42D4×D7112yes—
556C42#1176586412yes—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23C4×C22⋊D7112yes—
564C23C22×C22⋊D7111yescharacteristic
565Q8—22no—
566Q8—22no—
567Q8—41no—
568Q8—41no—
569Q8—2841no—
570Q8—2841no—
571Q8—1422no—
572Q8—1422no—
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—2841no—
602C2×C4—2841no—
603C2×C4—2841no—
604C2×C4—2841no—
605C2×C4—2841no—
606C2×C4—2841no—
607C2×C4—2841no—
608C2×C4—2841no—
609C2×C4—2841no—
610C2×C4—2841no—
611C2×C4—1422no—
612C2×C4—1422no—
613C2×C4C4×C22⋊D7112yes—
614C2×C4#1455610012yes—
615C2×C4#1455610012yes—
616C2×C4#1455615812yes—
617C2×C4#1455615912yes—
618C2×C4C22×C4×D7111yescharacteristic
619C2×C4C2×D4×D7111yescharacteristic
620C2×C4#41×D7111yescharacteristic
621C2×C4#41×D7111yescharacteristic
622C2×C4C2×#1176586411yescharacteristic
623C2×C4C2×#1176586511yescharacteristic
624C8—714no—
625C8—1422no—
626C8—1422no—
627C8—1422no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22C2×C4×C22⋊D7111yescharacteristic
636C22C2×#1455610011yescharacteristic
637C22#1798654511yescharacteristic
638C22C2×#1455615811yescharacteristic
639C22C2×#1455615911yescharacteristic
640C22#1798679711yescharacteristic
641C22#1798679711yescharacteristic
642C4—22no—
643C4—22no—
644C4—42no—
645C4—41no—
646C4—41no—
647C4—42no—
648C4—81no—
649C4—81no—
650C4—2842no—
651C4—2842no—
652C4—5681no—
653C4—5681no—
654C4#1798625514yesdirect product factor
655C4C4×D4×D7111yescharacteristic
656C4C4×#1176586411yescharacteristic
657C4#1798650811yescharacteristic
658C4#1798652911yescharacteristic
659C2—42no—
660C2C4×#1455610011yescharacteristic
661C2C4×#1455615811yescharacteristic
662C2C4×#1455615911yescharacteristic
663C2C2×#1798625511yescharacteristic
664C2#2259794611yescharacteristic
665C2#2259894011yescharacteristic
666C2#2259894711yescharacteristic
subgroupG/H
centerC22×C4C2×C22⋊D71
commutatorC2×C4×C71C23×C4
FrattiniC22×C4C23×D71
FittingC4×C22⋊Q8×C71C2
socleC23×C71C22×D4
prime radicalC24×C71C2×D4
cosocleC22×C4×C71C24
hypercenterC4×C22⋊Q8D71
hypocenterC71C4×#470
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
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×#11765855C2semidirect
5. #22589210C2semidirect
6. #22589080C2semidirect
7. #22589033C2semidirect
8. #22589029C2semidirect
12. C4×#14556059C2semidirect
13. C4×#14556051C2semidirect
14. C4×#14556052C2semidirect
21. #17986255C4direct (N × H)
65. C2×#11765855C2×C4semidirect
92. #14556059C2×C4semidirect
95. #14556052C2×C4semidirect
98. #14556051C2×C4semidirect
316. C4×C71#470semidirect
349. C71C4×#470semidirect
654. C4#17986255direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179862552
C2×C4×#117658552
C2×C4×#117658492
C4×#145561072
#225892102
#225890802
#225890332
#225890292
#225887742
#225887712
#225883712
C4×#145560592
C4×#145560512
C4×#145560522
C4×C22⋊Q8×C712
C4×#47071