Finite Group Databasebeta

← #497587

Subgroups — #497587

Order 512.

827 conjugacy classes of subgroups.

The subgroup lattice has 780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#39589C211yesmaximal, characteristic
2#22515C211yesmaximal, characteristic
3#22513C211yesmaximal, characteristic
4#13297C211yesmaximal, characteristic
5#13297C211yesmaximal, characteristic
6#13295C211yesmaximal, characteristic
7#13294C211yesmaximal, characteristic
8#13294C211yesmaximal, characteristic
9#13292C211yesmaximal, characteristic
10#12796C211yesmaximal, characteristic
11#12796C211yesmaximal, characteristic
12#12794C211yesmaximal, characteristic
13#12621C211yesmaximal, characteristic
14#12621C211yesmaximal, characteristic
15C4×#352C211yesmaximal, characteristic
16C2×#554C2211yescharacteristic
17C22×#125C411yescharacteristic, complemented
18Q8×M16—21no—
19#2855C411yescharacteristic, complemented
20#2726—21no—
21#2720—21no—
22#2713—21no—
23#2704—21no—
24#2627C411yescharacteristic, complemented
25#2627C411yescharacteristic, complemented
26#2583C411yescharacteristic, complemented
27#2583C411yescharacteristic, complemented
28#2579C2211yescharacteristic
29#2579C2211yescharacteristic
30#2556—21no—
31#2506—21no—
32#2502C411yescharacteristic, complemented
33#2487C2211yescharacteristic
34#2473—21no—
35#2462—21no—
36#2345—21no—
37#2345C411yescharacteristic, complemented
38#2322C2211yescharacteristic
39#2322C2211yescharacteristic
40C4×#123C2211yescharacteristic
41C2×#352C2211yescharacteristic
42C2×#352C2211yescharacteristic
43C2×#352C2211yescharacteristic
44C2×#352C2211yescharacteristic
45#1998—21no—
46#1998—21no—
47#1997—21no—
48#1996—21no—
49#1996—21no—
50#1996—21no—
51#1800C2211yescharacteristic
52#1800C2211yescharacteristic
53#1800C2211yescharacteristic
54#1799C2211yescharacteristic
55#1799C2211yescharacteristic
56#1799C2211yescharacteristic
57C4×#100C2211yescharacteristic
58C4×#100C2211yescharacteristic
59C4×#100C2211yescharacteristic
60C4×#99C2211yescharacteristic
61C4×#99C2211yescharacteristic
62C4×#99C2211yescharacteristic
63#1390C2211yescharacteristic
64#1390C2211yescharacteristic
65#1390C2211yescharacteristic
66#1390C2211yescharacteristic
67#1390C2211yescharacteristic
68#1390C2211yescharacteristic
69#1390C2211yescharacteristic
70#1390C2211yescharacteristic
71#1390C2211yescharacteristic
72#1390C2211yescharacteristic
73#1390C2211yescharacteristic
74#1390C2211yescharacteristic
75#554—41no—
76#554—41no—
77#554—41no—
78#554—41no—
79C2×C4⋊Q8D411yescharacteristic
80C2×#125—21no—
81C2×#125—21no—
82C2×#125—21no—
83C2×#125—21no—
84C2×#125—41no—
85C2×#125—41no—
86C2×#125—41no—
87C2×#125—41no—
88C2×#125D411yescharacteristic
89C2×#125D411yescharacteristic
90C2×#123C2311yescharacteristic
91C2×C22⋊Q8C2×C411yescharacteristic
92C2×C22⋊Q8C2×C411yescharacteristic
93C2×C22⋊Q8C2×C411yescharacteristic
94C2×C22⋊Q8D411yescharacteristic
95C2×C22⋊Q8D411yescharacteristic
96C2×C22⋊Q8D411yescharacteristic
97C2×C4×Q8D411yescharacteristic
98C2×C4×D4C2311yescharacteristic
99C2×C4×D4C2311yescharacteristic
100C2×C4×D4C2311yescharacteristic
101C22×C4⋊C4C2×C411yescharacteristic
102C22×C4⋊C4C2×C411yescharacteristic
103C22×C4⋊C4C2×C411yescharacteristic
104C22×C4⋊C4C2×C411yescharacteristic
105C22×C4⋊C4C2×C411yescharacteristic
106C22×C4⋊C4C2×C411yescharacteristic
107C22×C4⋊C4D411yescharacteristic
108C22×C42C2×C411yescharacteristic
109#446—41no—
110#446—41no—
111#446—41no—
112C8×Q8—41no—
113#423—21no—
114#423—21no—
115#423—21no—
116C2×#100C2311yescharacteristic
117C2×#100C2311yescharacteristic
118C2×#100C2311yescharacteristic
119C2×#100C2311yescharacteristic
120C2×#99C2311yescharacteristic
121C2×#99C2311yescharacteristic
122C2×#99C2311yescharacteristic
123C2×#99C2311yescharacteristic
124C4×M16—21no—
125C4×M16—21no—
126C4×M16—21no—
127#400—21no—
128#400—21no—
129#400—21no—
130#399—21no—
131#398—21no—
132#398—21no—
133#398—21no—
134#398—21no—
135#398—21no—
136#398—21no—
137#398—21no—
138#398—21no—
139#398—21no—
140#398—21no—
141#396—21no—
142#396—21no—
143#395—21no—
144#395—21no—
145#395—21no—
146#395—21no—
147#391—21no—
148#391—21no—
149#389—21no—
150#389—21no—
151#389—21no—
152#389—21no—
153#389—21no—
154#389—21no—
155#389—21no—
156#389—21no—
157#389—21no—
158#389—41no—
159#388—21no—
160#388—21no—
161#388—21no—
162#387—21no—
163#387—21no—
164#387—21no—
165#387—21no—
166#387—21no—
167#387—21no—
168#387—21no—
169#387—21no—
170#387—21no—
171#387—41no—
172#387—41no—
173#386C2311yescharacteristic
174#386C2311yescharacteristic
175#386C2311yescharacteristic
176#385—21no—
177#385—21no—
178#385—21no—
179#385—21no—
180#385C2×C411yescharacteristic
181#385C2×C411yescharacteristic
182#385C2×C411yescharacteristic
183#385C2×C411yescharacteristic
184#385C2×C411yescharacteristic
185#385C2×C411yescharacteristic
186#385C2×C411yescharacteristic
187#385C2×C411yescharacteristic
188#385C2×C411yescharacteristic
189#384—21no—
190#381C2×C411yescharacteristic
191#381C2×C411yescharacteristic
192#381C2×C411yescharacteristic
193#380—21no—
194#380—21no—
195#380—21no—
196#380—21no—
197#380C2×C411yescharacteristic
198#380C2×C411yescharacteristic
199#380C2×C411yescharacteristic
200C4×C4⋊C4—21no—
201C4×C4⋊C4—21no—
202C4×C4⋊C4—41no—
203C4×C22⋊C4—21no—
204C4×C22⋊C4—21no—
205C4×C22⋊C4—21no—
206C4×C22⋊C4—21no—
207C4×C22⋊C4C2×C411yescharacteristic
208C4×C22⋊C4C2×C411yescharacteristic
209C4×C22⋊C4C2×C411yescharacteristic
210#352—22no—
211#352—22no—
212#352—22no—
213#352Q814yescomplemented
214#343—21no—
215#343—21no—
216#343—21no—
217#343—21no—
218#343—21no—
219#343—21no—
220#342—21no—
221#342—21no—
222#342—21no—
223#342—21no—
224#342—21no—
225#342—21no—
226C22×Q8C22⋊C411yescharacteristic
227C22×Q8C22⋊C411yescharacteristic
228C22×Q8C22⋊C411yescharacteristic
229C22×D4C2411yescharacteristic
230C23×C4C22×C411yescharacteristic
231C23×C4C22×C411yescharacteristic
232C23×C4C22×C411yescharacteristic
233C23×C4C22×C411yescharacteristic
234C23×C4C22×C411yescharacteristic
235C23×C4C22×C411yescharacteristic
236C23×C4C22×C411yescharacteristic
237C23×C4C2×D411yescharacteristic
238C23×C4C2×D411yescharacteristic
239C23×C4C2×D411yescharacteristic
240C2×M16—21no—
241C2×M16—21no—
242C2×M16—21no—
243C2×M16—21no—
244C4⋊Q8—41no—
245C4⋊Q8—41no—
246#125—41no—
247#125—41no—
248#125—41no—
249#125—41no—
250#125—42no—
251#125—42no—
252#125—42no—
253#125—42no—
254#125—42no—
255#125—42no—
256#125—41no—
257#125—41no—
258#125—41no—
259#125—41no—
260#123—21no—
261#123—21no—
262#123C2×Q812yes—
263#123#4112yes—
264C22⋊Q8—41no—
265C22⋊Q8—41no—
266C22⋊Q8—41no—
267C22⋊Q8—41no—
268C22⋊Q8—41no—
269C22⋊Q8—41no—
270C22⋊Q8—41no—
271C22⋊Q8—41no—
272C22⋊Q8—41no—
273C22⋊Q8—41no—
274C22⋊Q8—41no—
275C22⋊Q8—41no—
276C4×Q8—21no—
277C4×Q8—21no—
278C4×Q8—21no—
279C4×Q8—21no—
280C4×D4—41no—
281C4×D4—41no—
282C4×D4—41no—
283C4×D4—41no—
284C4×D4—41no—
285C4×D4—41no—
286C2×C4⋊C4—21no—
287C2×C4⋊C4—21no—
288C2×C4⋊C4—21no—
289C2×C4⋊C4—21no—
290C2×C4⋊C4—21no—
291C2×C4⋊C4—21no—
292C2×C4⋊C4—21no—
293C2×C4⋊C4—21no—
294C2×C4⋊C4—21no—
295C2×C4⋊C4—21no—
296C2×C4⋊C4—21no—
297C2×C4⋊C4—21no—
298C2×C4⋊C4—21no—
299C2×C4⋊C4—21no—
300C2×C4⋊C4—21no—
301C2×C4⋊C4—21no—
302C2×C4⋊C4—21no—
303C2×C4⋊C4—21no—
304C2×C4⋊C4—21no—
305C2×C4⋊C4—21no—
306C2×C4⋊C4—21no—
307C2×C4⋊C4—21no—
308C2×C4⋊C4—21no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—21no—
312C2×C4⋊C4—21no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—41no—
318C2×C4⋊C4—41no—
319C2×C4⋊C4—41no—
320C2×C4⋊C4—41no—
321C2×C4⋊C4—41no—
322C2×C4⋊C4—41no—
323C2×C4⋊C4—41no—
324C2×C4⋊C4—41no—
325C2×C4⋊C4—41no—
326C2×C4⋊C4—41no—
327C2×C4⋊C4—41no—
328C2×C4⋊C4—41no—
329C2×C4⋊C4—41no—
330C2×C4⋊C4C22⋊C411yescharacteristic
331C2×C4⋊C4C22⋊C411yescharacteristic
332C2×C4⋊C4C22⋊C411yescharacteristic
333C2×C4⋊C4C22⋊C411yescharacteristic
334C2×C4⋊C4C22⋊C411yescharacteristic
335C2×C4⋊C4C22⋊C411yescharacteristic
336C2×C4⋊C4C22⋊C411yescharacteristic
337C2×C4⋊C4C22⋊C411yescharacteristic
338C2×C4⋊C4C22⋊C411yescharacteristic
339C2×C4⋊C4C22⋊C411yescharacteristic
340C2×C4⋊C4C22⋊C411yescharacteristic
341C2×C4⋊C4C22⋊C411yescharacteristic
342C2×C4⋊C4C22⋊C411yescharacteristic
343C2×C4⋊C4C2×D411yescharacteristic
344C2×C4⋊C4C2×D411yescharacteristic
345C2×C4⋊C4C2×D411yescharacteristic
346C2×C22⋊C4—21no—
347C2×C22⋊C4—21no—
348C2×C22⋊C4—21no—
349C2×C22⋊C4—21no—
350C2×C22⋊C4—21no—
351C2×C22⋊C4—21no—
352C2×C22⋊C4—21no—
353C2×C22⋊C4—21no—
354C2×C22⋊C4C22×C411yescharacteristic
355C2×C22⋊C4C22×C411yescharacteristic
356C2×C22⋊C4C22×C411yescharacteristic
357C2×C22⋊C4C22×C411yescharacteristic
358C2×C22⋊C4C22×C411yescharacteristic
359C2×C22⋊C4C22×C411yescharacteristic
360C2×C22⋊C4C22×C411yescharacteristic
361C2×C22⋊C4C2×D411yescharacteristic
362C2×C22⋊C4C2×D411yescharacteristic
363C2×C22⋊C4C2×D411yescharacteristic
364C2×C42—21no—
365C2×C42—21no—
366C2×C42—21no—
367C2×C42—21no—
368C2×C42—21no—
369C2×C42—41no—
370C2×C42—41no—
371C2×C42—41no—
372C2×C42—41no—
373C2×C42—41no—
374C2×C42C2×D411yescharacteristic
375C2×C42C2×D411yescharacteristic
376C2×C42C2×D411yescharacteristic
377C4⋊C8—41no—
378C4⋊C8—41no—
379C4⋊C8—41no—
380C4⋊C8—41no—
381C4⋊C8—41no—
382C4⋊C8—41no—
383#100—21no—
384#100—21no—
385#100—21no—
386#100—21no—
387#100—21no—
388#100—21no—
389#100—21no—
390#100C2×Q812yes—
391#99—21no—
392#99—21no—
393#99—21no—
394#99—21no—
395#99—21no—
396#99—21no—
397#99—21no—
398#99C2×Q812yes—
399#97—41no—
400#97—41no—
401#97—41no—
402C4×C8—41no—
403C4×C8—41no—
404C4×C8—41no—
405#95—21no—
406#95—21no—
407#95—21no—
408#95—21no—
409#95—21no—
410#95—21no—
411#95—21no—
412#95—21no—
413#95—21no—
414#95—21no—
415#95—21no—
416#95—21no—
417#95—21no—
418#95—21no—
419#95—21no—
420#95—21no—
421#95—21no—
422#95—21no—
423#95—21no—
424#95—21no—
425#95—21no—
426#95—21no—
427#95—21no—
428#95—21no—
429#95—41no—
430#95—41no—
431#95—41no—
432#95—41no—
433#95—41no—
434#95—41no—
435C24C23×C411yescharacteristic
436C24C22×D411yescharacteristic
437C2×Q8—21no—
438C2×Q8—21no—
439C2×Q8—41no—
440C2×Q8—41no—
441C2×Q8—81no—
442C2×Q8—81no—
443C2×Q8—81no—
444C2×D4—41no—
445C2×D4—41no—
446C2×D4C22×Q811yescharacteristic
447C2×D4C2×#4111yescharacteristic
448C2×D42−1+411yescharacteristic
449C2×D42−1+411yescharacteristic
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—41no—
472C22×C4—41no—
473C22×C4—41no—
474C22×C4—41no—
475C22×C4—41no—
476C22×C4—41no—
477C22×C4—41no—
478C22×C4—41no—
479C22×C4—41no—
480C22×C4—81no—
481C22×C4—81no—
482C22×C4—81no—
483C22×C4—81no—
484C22×C4—81no—
485C22×C4—81no—
486C22×C4—81no—
487C22×C4—81no—
488C22×C4—81no—
489C22×C4C2×C22⋊C411yescharacteristic
490C22×C4C2×C22⋊C411yescharacteristic
491C22×C4C2×C22⋊C411yescharacteristic
492C22×C4C2×C22⋊C411yescharacteristic
493C22×C4C2×C22⋊C411yescharacteristic
494C22×C4C2×C22⋊C411yescharacteristic
495C22×C4C2×C22⋊C411yescharacteristic
496C22×C4C2×C22⋊C411yescharacteristic
497C22×C4C2×C22⋊C411yescharacteristic
498C22×C4C2×C22⋊C411yescharacteristic
499C22×C4C2×C22⋊C411yescharacteristic
500C22×C4C2×C22⋊C411yescharacteristic
501C22×C4C4×Q812yes—
502C22×C4C22×D411yescharacteristic
503M16—22no—
504M16—41no—
505M16—41no—
506M16—41no—
507M16—41no—
508M16—41no—
509M16—41no—
510M16—41no—
511C2×C8—41no—
512C2×C8—41no—
513C2×C8—41no—
514C2×C8—41no—
515C4⋊C4—22no—
516C4⋊C4—22no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—41no—
534C4⋊C4—41no—
535C4⋊C4—41no—
536C4⋊C4—41no—
537C4⋊C4—41no—
538C4⋊C4—41no—
539C4⋊C4—41no—
540C4⋊C4—42no—
541C4⋊C4—42no—
542C4⋊C4—42no—
543C4⋊C4—42no—
544C4⋊C4—42no—
545C4⋊C4—41no—
546C4⋊C4—41no—
547C4⋊C4—41no—
548C4⋊C4—41no—
549C4⋊C4—41no—
550C4⋊C4—41no—
551C4⋊C4—41no—
552C4⋊C4—41no—
553C4⋊C4—41no—
554C4⋊C4—41no—
555C4⋊C4—81no—
556C4⋊C4—81no—
557C4⋊C4—81no—
558C4⋊C4—81no—
559C4⋊C4—81no—
560C4⋊C4—81no—
561C4⋊C4—81no—
562C4⋊C4—81no—
563C4⋊C4—81no—
564C4⋊C4—81no—
565C4⋊C4—81no—
566C4⋊C4—81no—
567C4⋊C4—82no—
568C4⋊C4—161no—
569C4⋊C4—161no—
570C4⋊C4#9911yescharacteristic
571C4⋊C4#9911yescharacteristic
572C4⋊C4#9911yescharacteristic
573C4⋊C4#9911yescharacteristic
574C22⋊C4—21no—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—41no—
579C22⋊C4—41no—
580C22⋊C4—41no—
581C22⋊C4—41no—
582C22⋊C4—41no—
583C22⋊C4—41no—
584C22⋊C4—41no—
585C22⋊C4—41no—
586C22⋊C4—41no—
587C22⋊C4—41no—
588C22⋊C4—41no—
589C22⋊C4—41no—
590C22⋊C4—41no—
591C22⋊C4—41no—
592C22⋊C4—41no—
593C22⋊C4—41no—
594C22⋊C4—81no—
595C22⋊C4—81no—
596C22⋊C4—81no—
597C22⋊C4C4×Q812yes—
598C42—21no—
599C42—21no—
600C42—21no—
601C42—21no—
602C42—21no—
603C42—21no—
604C42—42no—
605C42—41no—
606C42—41no—
607C42—81no—
608C42—81no—
609C42—81no—
610C42—82no—
611C42—161no—
612C42—161no—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23C22×C22⋊C411yescharacteristic
622C23C2×C4×Q811yescharacteristic
623C23#51911yescharacteristic
624C23#54811yescharacteristic
625C23D4×Q811yescharacteristic
626Q8—42no—
627Q8—81no—
628Q8—161no—
629Q8—161no—
630D4—41no—
631D4—41no—
632D4—41no—
633D4—41no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—42no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—42no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—42no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—42no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—81no—
686C2×C4—81no—
687C2×C4—81no—
688C2×C4—81no—
689C2×C4—81no—
690C2×C4—81no—
691C2×C4—81no—
692C2×C4—81no—
693C2×C4—81no—
694C2×C4—81no—
695C2×C4—81no—
696C2×C4—81no—
697C2×C4—81no—
698C2×C4—82no—
699C2×C4—82no—
700C2×C4—82no—
701C2×C4—81no—
702C2×C4—81no—
703C2×C4—81no—
704C2×C4—81no—
705C2×C4—81no—
706C2×C4—81no—
707C2×C4—81no—
708C2×C4—81no—
709C2×C4—81no—
710C2×C4C2×#9911yescharacteristic
711C2×C4C2×#9911yescharacteristic
712C2×C4C2×#9911yescharacteristic
713C2×C4C2×#9911yescharacteristic
714C2×C4C2×#9911yescharacteristic
715C2×C4C2×#9911yescharacteristic
716C2×C4#54811yescharacteristic
717C2×C4D4×Q811yescharacteristic
718C8—42no—
719C8—81no—
720C8—81no—
721C8—81no—
722C22—21no—
723C22—21no—
724C22—21no—
725C22—21no—
726C22—21no—
727C22—21no—
728C22—41no—
729C22—41no—
730C22—41no—
731C22—41no—
732C22—42no—
733C22—41no—
734C22—41no—
735C22—41no—
736C22—41no—
737C22—81no—
738C22Q8×C22⋊C411yescharacteristic
739C22C22×#9911yescharacteristic
740C22#288411yescharacteristic
741C4—21no—
742C4—21no—
743C4—21no—
744C4—21no—
745C4—21no—
746C4—21no—
747C4—21no—
748C4—21no—
749C4—42no—
750C4—41no—
751C4—41no—
752C4—41no—
753C4—41no—
754C4—41no—
755C4—41no—
756C4—41no—
757C4—41no—
758C4—41no—
759C4—42no—
760C4—81no—
761C4—81no—
762C4—81no—
763C4—82no—
764C4—81no—
765C4—81no—
766C4—81no—
767C4—161no—
768C4—161no—
769C4—161no—
770C2—21no—
771C2—21no—
772C2—41no—
773C2—41no—
774C2—41no—
775C2—41no—
776C2Q8×#9911yescharacteristic
777C2#3334711yescharacteristic
778C2#3335011yescharacteristic
subgroupG/H
center, socleC22C22×#99
commutatorC24C23×C4
Frattini, prime radical, cosocleC22×D4C24
LCSG ▷ C24 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ C2×C4⋊C4 ◁ C2×#554 ◁ G
LECSG ▷ C22×D4 ▷ C22 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
17. C22×#125C4semidirect
19. #2855C4semidirect
24. #2627C4semidirect
25. #2627C4semidirect
26. #2583C4semidirect
27. #2583C4semidirect
32. #2502C4semidirect
37. #2345C4semidirect
213. #352Q8semidirect

Maximal subgroups

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

subgroupindex
#395892
#225152
#225132
#132972
#132952
#132942
#132922
#127962
#127942
#126212
C4×#3522