Finite Group Databasebeta

← #35408600

Subgroups — #35408600

Order 21248.

860 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19127763C211yesmaximal, characteristic, complemented
2#24909906C211yesmaximal, characteristic
3#24908259C211yesmaximal, characteristic
4#24908255C211yesmaximal, characteristic
5#24908183C211yesmaximal, characteristic, complemented
6#24908178C211yesmaximal, characteristic, complemented
7#24908079C211yesmaximal, characteristic, complemented
8#24908075C211yesmaximal, characteristic, complemented
9#24908072C211yesmaximal, characteristic, complemented
10#24908068C211yesmaximal, characteristic, complemented
11#24907323C211yesmaximal, characteristic, complemented
12#24907232C211yesmaximal, characteristic, complemented
13C4×C22⋊(C83⋊C8)C211yesmaximal, characteristic, complemented
14#24907151C211yesmaximal, characteristic, complemented
15C2×#432×C83C211yesmaximal, characteristic, complemented
16C2×C4×C22⋊D83C2211yescharacteristic
17C2×#14581749C2211yescharacteristic
18#19127763—24no—
19C2×Dic83⋊C8C2211yescharacteristic
20C2×Dic83⋊C8C2211yescharacteristic
21C2×Dic83⋊C8C2211yescharacteristic
22C2×Dic83⋊C8C2211yescharacteristic
23C2×C22⋊(C83⋊C8)C2211yescharacteristic
24C2×C22⋊(C83⋊C8)C2211yescharacteristic
25C2×(C2×D83)⋊C8C2211yescharacteristic
26C2×(C2×D83)⋊C8C2211yescharacteristic
27C2×(C2×D83)⋊C8C2211yescharacteristic
28C2×(C2×D83)⋊C8C2211yescharacteristic
29C2×#14581702C2211yescharacteristic
30C2×#14581702C2211yescharacteristic
31C2×C4×C83⋊C8C2211yescharacteristic
32C2×C4×C83⋊C8C2211yescharacteristic
33C2×C8×Dic83C2211yescharacteristic
34C2×C8×Dic83C2211yescharacteristic
35#19127592C411yescharacteristic
36#19127592C411yescharacteristic
37#19127585C411yescharacteristic
38#19127585C411yescharacteristic
39#19127580C411yescharacteristic
40#19127580C411yescharacteristic
41#19127574C411yescharacteristic
42#19127574C411yescharacteristic
43C4×Dic83⋊C4C2211yescharacteristic
44C4×(C2×D83)⋊C4C2211yescharacteristic
45C4×C22⋊Dic83C2211yescharacteristic
46#19127547C2211yescharacteristic
47#19127456C2211yescharacteristic
48#19127456C2211yescharacteristic
49#19127455C2211yescharacteristic
50#19127455C2211yescharacteristic
51#19127455C2211yescharacteristic
52#19127455C2211yescharacteristic
53C22×C42×C83C2211yescharacteristic
54#432×C83—24no—
55C2×C4⋊C8×C83C2211yescharacteristic
56C2×C4⋊C8×C83C2211yescharacteristic
57C2×C22⋊C8×C83C2211yescharacteristic
58C2×C22⋊C8×C83C2211yescharacteristic
59C2×#97×C83C2211yescharacteristic
60C2×#97×C83C2211yescharacteristic
61C22×C22⋊D83C2×C411yescharacteristic
62C22×C4×D83C2311yescharacteristic
63C22×C83⋊C8C2311yescharacteristic
64C22×C83⋊C8C2311yescharacteristic
65C22×C83⋊C8C2311yescharacteristic
66C22×C83⋊C8C2311yescharacteristic
67C4×C22⋊D83—22no—
68C4×C22⋊D83—22no—
69#14581749—22no—
70#14581749—22no—
71C2×Dic83⋊C4C2×C411yescharacteristic
72C2×Dic83⋊C4C2×C411yescharacteristic
73C2×Dic83⋊C4C2×C411yescharacteristic
74C2×Dic83⋊C4C2×C411yescharacteristic
75C2×Dic83⋊C4C2×C411yescharacteristic
76C2×C22⋊Dic83C2×C411yescharacteristic
77C2×C22⋊Dic83C2×C411yescharacteristic
78C2×C22⋊Dic83C2×C411yescharacteristic
79C2×(C2×D83)⋊C4C2×C411yescharacteristic
80C2×(C2×D83)⋊C4C2×C411yescharacteristic
81C2×(C2×D83)⋊C4C2×C411yescharacteristic
82C2×(C2×D83)⋊C4C2×C411yescharacteristic
83C2×(C2×D83)⋊C4C2×C411yescharacteristic
84C2×C4×Dic83C2311yescharacteristic
85C2×C4×Dic83C2311yescharacteristic
86C2×C4×Dic83C2311yescharacteristic
87Dic83⋊C8—22no—
88Dic83⋊C8—22no—
89Dic83⋊C8—22no—
90Dic83⋊C8—22no—
91C22⋊(C83⋊C8)—22no—
92C22⋊(C83⋊C8)—22no—
93(C2×D83)⋊C8—22no—
94(C2×D83)⋊C8—22no—
95(C2×D83)⋊C8—22no—
96(C2×D83)⋊C8—22no—
97#14581702—22no—
98#14581702—22no—
99C4×C83⋊C8—22no—
100C4×C83⋊C8—22no—
101C8×Dic83—22no—
102C8×Dic83—22no—
103C83⋊#95C2×C411yescharacteristic
104C83⋊#95C2×C411yescharacteristic
105C83⋊#95C2×C411yescharacteristic
106C83⋊#95C2×C411yescharacteristic
107C83⋊#95C2×C411yescharacteristic
108C83⋊#95C2×C411yescharacteristic
109C83⋊#95C2×C411yescharacteristic
110C83⋊#95C2×C411yescharacteristic
111C83⋊#95C2×C411yescharacteristic
112C83⋊#95C2×C411yescharacteristic
113C23×C4×C83C2×C411yescharacteristic
114C23×C4×C83C2×C411yescharacteristic
115C23×C4×C83C2311yescharacteristic
116C22×C8×C83C2311yescharacteristic
117C22×C8×C83C2311yescharacteristic
118C22×C8×C83C2311yescharacteristic
119C22×C8×C83C2311yescharacteristic
120C2×C42×C83—22no—
121C2×C42×C83—22no—
122C2×C42×C83C2×C411yescharacteristic
123C2×C42×C83C2×C411yescharacteristic
124C2×C42×C83C2311yescharacteristic
125C2×C42×C83C2311yescharacteristic
126C4⋊C8×C83—22no—
127C4⋊C8×C83—22no—
128C22⋊C8×C83—22no—
129C22⋊C8×C83—22no—
130#97×C83—22no—
131#97×C83D414yescomplemented
132C23×D83C22×C411yescharacteristic
133C2×C22⋊D83—22no—
134C2×C22⋊D83—22no—
135C2×C22⋊D83—41no—
136C22×Dic83C22×C411yescharacteristic
137C22×Dic83C22×C411yescharacteristic
138C22×Dic83C22×C411yescharacteristic
139C22×Dic83C22×C411yescharacteristic
140C22×Dic83C22×C411yescharacteristic
141C22×Dic83C22×C411yescharacteristic
142C22×Dic83C22×C411yescharacteristic
143C2×C4×D83—21no—
144C2×C4×D83—21no—
145C2×C4×D83—21no—
146C2×C4×D83—21no—
147C2×C4×D83—21no—
148C2×C4×D83—21no—
149C2×C83⋊C8—21no—
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⋊C8—21no—
157C2×C83⋊C8—21no—
158C2×C83⋊C8—21no—
159C2×C83⋊C8#4112yes—
160C2×C83⋊C8#4112yes—
161Dic83⋊C4—22no—
162Dic83⋊C4—22no—
163Dic83⋊C4—22no—
164Dic83⋊C4—22no—
165Dic83⋊C4—41no—
166C22⋊Dic83—22no—
167C22⋊Dic83—22no—
168C22⋊Dic83—41no—
169(C2×D83)⋊C4—22no—
170(C2×D83)⋊C4—22no—
171(C2×D83)⋊C4—22no—
172(C2×D83)⋊C4—22no—
173(C2×D83)⋊C4—41no—
174C4×Dic83—21no—
175C4×Dic83—21no—
176C4×Dic83—21no—
177C4×Dic83—21no—
178C4×Dic83#4112yes—
179C4×Dic83#4112yes—
180C24×C83C22×C411yescharacteristic
181C22×C4×C83—22no—
182C22×C4×C83—22no—
183C22×C4×C83—22no—
184C22×C4×C83—22no—
185C22×C4×C83—21no—
186C22×C4×C83—21no—
187C22×C4×C83—21no—
188C22×C4×C83—21no—
189C22×C4×C83—21no—
190C22×C4×C83—21no—
191C22×C4×C83—41no—
192C22×C4×C83—41no—
193C22×C4×C83C22×C411yescharacteristic
194C22×C4×C83C22×C411yescharacteristic
195C22×C4×C83C22×C411yescharacteristic
196C22×C4×C83C22×C411yescharacteristic
197C22×C4×C83C22×C411yescharacteristic
198C22×C4×C83C2411yescharacteristic
199C2×C8×C83—21no—
200C2×C8×C83—21no—
201C2×C8×C83—21no—
202C2×C8×C83—21no—
203C2×C8×C83—21no—
204C2×C8×C83—21no—
205C2×C8×C83—21no—
206C2×C8×C83—21no—
207C2×C8×C83—21no—
208C2×C8×C83—21no—
209C2×C8×C83C2×D412yes—
210C2×C8×C83C2×D412yes—
211C42×C83—22no—
212C42×C83—22no—
213C42×C83—21no—
214C42×C83—21no—
215C42×C83C2×D412yes—
216C42×C83#4112yes—
217C23×C83—21no—
218C23×C83—21no—
219C23×C83—21no—
220C23×C83—21no—
221C23×C83—21no—
222C23×C83—21no—
223C23×C83#13112yes—
224C23×C83C23×C411yescharacteristic
225C22×D83—21no—
226C22×D83—21no—
227C22×D83—21no—
228C22×D83—21no—
229C22×D83—21no—
230C22×D83—21no—
231C22×D83—21no—
232C2×C4×C83—21no—
233C2×C4×C83—21no—
234C2×C4×C83—21no—
235C2×C4×C83—21no—
236C2×C4×C83—21no—
237C2×C4×C83—21no—
238C2×C4×C83—21no—
239C2×C4×C83—21no—
240C2×C4×C83—21no—
241C2×C4×C83—21no—
242C2×C4×C83—21no—
243C2×C4×C83—21no—
244C2×C4×C83—44no—
245C2×C4×C83—44no—
246C2×C4×C83—41no—
247C2×C4×C83—41no—
248C2×C4×C83—41no—
249C2×C4×C83—41no—
250C2×C4×C83C4×D412yes—
251C2×C4×C83C4×D412yes—
252C2×C4×C83#13112yes—
253C2×C4×C83C22×D411yescharacteristic
254C2×C4×C83C2×#4111yescharacteristic
255C2×C4×C83C2×#4111yescharacteristic
256C2×C4×C83C2×#4111yescharacteristic
257C2×C4×C83C2×#4111yescharacteristic
258C2×C4×C83C2×#4111yescharacteristic
259C22⋊D83—44no—
260C2×Dic83—21no—
261C2×Dic83—21no—
262C2×Dic83—21no—
263C2×Dic83—21no—
264C2×Dic83—21no—
265C2×Dic83—21no—
266C2×Dic83—21no—
267C2×Dic83—21no—
268C2×Dic83—21no—
269C2×Dic83—21no—
270C2×Dic83—21no—
271C2×Dic83—21no—
272C2×Dic83—21no—
273C2×Dic83—21no—
274C2×Dic83—21no—
275C2×Dic83—21no—
276C2×Dic83—21no—
277C2×Dic83—21no—
278C2×Dic83—21no—
279C2×Dic83#11712yes—
280C2×Dic83#11712yes—
281C4×D83—41no—
282C4×D83—41no—
283C4×D83—41no—
284C4×D83—41no—
285C8×C83—22no—
286C8×C83—22no—
287C8×C83—41no—
288C8×C83—41no—
289C83⋊C8—22no—
290C83⋊C8—22no—
291C83⋊C8—41no—
292C83⋊C8—41no—
293C22×C83—22no—
294C22×C83—22no—
295C22×C83—22no—
296C22×C83—41no—
297C22×C83—41no—
298C22×C83—41no—
299C22×C83—41no—
300C22×C83C2×#11711yescharacteristic
301C22×C83C2×C4×D411yescharacteristic
302C22×C83C4×#4111yescharacteristic
303C22×C83C2×#13111yescharacteristic
304C22×C83C2×#13111yescharacteristic
305C22×C83#56811yescharacteristic
306C22×C83#56811yescharacteristic
307C2×D83—41no—
308C2×D83—41no—
309C2×D83—41no—
310C2×D83—41no—
311C2×D83—41no—
312C2×D83—41no—
313C2×D83—41no—
314C4×C83—22no—
315C4×C83—22no—
316C4×C83—22no—
317C4×C83—41no—
318C4×C83—41no—
319C4×C83#52911yescharacteristic
320C4×C83#52911yescharacteristic
321C4×C83#53211yescharacteristic
322C4×C83#53211yescharacteristic
323Dic83—22no—
324Dic83—22no—
325Dic83—41no—
326Dic83—41no—
327Dic83—41no—
328Dic83—41no—
329Dic83—41no—
330#21273—831nomaximal, Sylow
331C2×C83—42no—
332C2×C83#229311yescharacteristic
333C2×C83#292411yescharacteristic
334C2×C83#292511yescharacteristic
335C2×C83#293311yescharacteristic
336C2×C83#293311yescharacteristic
337C2×C83#296611yescharacteristic
338C2×C83#296711yescharacteristic
339D83—81no—
340C2×#433—831no—
341C2×#432D8311yescharacteristic, complemented
342#2290—831no—
343#1955—831no—
344#1954—831no—
345#1940—831no—
346#1939—831no—
347#1924—831no—
348#1924—831no—
349#1923—831no—
350#1923—831no—
351#1768—831no—
352#1750—831no—
353C4×C22⋊C8—831no—
354#1726—831no—
355C83#2127311yescharacteristic, complemented, Sylow
356C2×C4×D4—831no—
357C2×#117—831no—
358C22×C42C2×D8311yescharacteristic
359#433—1664no—
360#432—24no—
361C2×C4⋊C8—831no—
362C2×C4⋊C8—831no—
363C2×C4⋊C8—831no—
364C2×C4⋊C8—831no—
365C2×C4⋊C8C2×D8311yescharacteristic
366C2×C4⋊C8C2×D8311yescharacteristic
367C2×C22⋊C8—831no—
368C2×C22⋊C8—831no—
369C2×C22⋊C8—831no—
370C2×C22⋊C8—831no—
371C2×C22⋊C8—831no—
372C2×C22⋊C8—831no—
373C2×C22⋊C8C2×D8311yescharacteristic
374C2×C22⋊C8C2×D8311yescharacteristic
375C2×#97—831no—
376C2×#97—831no—
377C2×#97C2×D8311yescharacteristic
378C2×#97C2×D8311yescharacteristic
379C2×C4×C8—831no—
380C2×C4×C8—831no—
381C2×C4×C8—831no—
382C2×C4×C8—831no—
383#388—831no—
384#388—831no—
385#387—831no—
386#387—831no—
387#386—831no—
388#386—831no—
389#385—831no—
390#385—831no—
391C4×C4⋊C4—831no—
392C4×C22⋊C4—831no—
393C4×C22⋊C4—831no—
394#376—831no—
395#336—831no—
396#336—831no—
397#336—831no—
398#336—831no—
399#336—831no—
400#336—831no—
401C22×D4—831no—
402C23×C4—831no—
403C23×C4C4×D8311yescharacteristic
404C23×C4C4×D8311yescharacteristic
405C23×C4C22×D8311yescharacteristic
406C22×C8—831no—
407C22×C8—831no—
408C22×C8—831no—
409C22×C8—831no—
410C22×C8C22×D8311yescharacteristic
411C22×C8C22×D8311yescharacteristic
412C22×C8C22×D8311yescharacteristic
413C22×C8C22×D8311yescharacteristic
414C4×D4—1662no—
415C4×D4—1662no—
416#117—1662no—
417#117—1662no—
418C2×C4⋊C4—831no—
419C2×C4⋊C4—831no—
420C2×C4⋊C4—831no—
421C2×C4⋊C4—831no—
422C2×C4⋊C4—831no—
423C2×C22⋊C4—831no—
424C2×C22⋊C4—831no—
425C2×C22⋊C4—831no—
426C2×C22⋊C4—831no—
427C2×C22⋊C4—831no—
428C2×C22⋊C4—831no—
429C2×C22⋊C4—831no—
430C2×C22⋊C4—831no—
431C2×C42—22no—
432C2×C42—22no—
433C2×C42—831no—
434C2×C42—831no—
435C2×C42—831no—
436C2×C42C4×D8311yescharacteristic
437C2×C42C4×D8311yescharacteristic
438C2×C42C22×D8311yescharacteristic
439C2×C42C22×D8311yescharacteristic
440C4⋊C8—22no—
441C4⋊C8—22no—
442C4⋊C8—1662no—
443C4⋊C8—1662no—
444C4⋊C8—1662no—
445C4⋊C8—1662no—
446C22⋊C8—22no—
447C22⋊C8—22no—
448C22⋊C8—1662no—
449C22⋊C8—1662no—
450C22⋊C8—1662no—
451C22⋊C8—1662no—
452C22⋊C8—1662no—
453C22⋊C8—1662no—
454#97—22no—
455#97—1662no—
456#97—1662no—
457#97C22⋊D8314yescomplemented
458C4×C8—1662no—
459C4×C8—1662no—
460C4×C8—1662no—
461C4×C8—1662no—
462#95—831no—
463#95—831no—
464#95—831no—
465#95—831no—
466#95—831no—
467#95—831no—
468#95—831no—
469#95—831no—
470#95—831no—
471#95—831no—
472C24—831no—
473C24C2×C4×D8311yescharacteristic
474C2×D4—3321no—
475C2×D4—1662no—
476C2×D4—1662no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—41no—
488C22×C4—41no—
489C22×C4—831no—
490C22×C4—831no—
491C22×C4—831no—
492C22×C4—831no—
493C22×C4—831no—
494C22×C4—831no—
495C22×C4—831no—
496C22×C4—1661no—
497C22×C4—1661no—
498C22×C4—1661no—
499C22×C4—1661no—
500C22×C4—1661no—
501C22×C4—1661no—
502C22×C4C2×C4×D8311yescharacteristic
503C22×C4C2×C4×D8311yescharacteristic
504C22×C4C2×C4×D8311yescharacteristic
505C22×C4C2×C4×D8311yescharacteristic
506C22×C4C2×C4×D8311yescharacteristic
507C22×C4C23×D8311yescharacteristic
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—832no—
519C2×C8—832no—
520C2×C8—1661no—
521C2×C8—1661no—
522C2×C8—1661no—
523C2×C8—1661no—
524C2×C8—1661no—
525C2×C8—1661no—
526C2×C8—1661no—
527C2×C8—1661no—
528C2×C8—1661no—
529C2×C8—1661no—
530C2×C8C2×C22⋊D8312yes—
531C2×C8C2×C22⋊D8312yes—
532C4⋊C4—3321no—
533C4⋊C4—1662no—
534C4⋊C4—1662no—
535C4⋊C4—1662no—
536C4⋊C4—1662no—
537C22⋊C4—3321no—
538C22⋊C4—3321no—
539C22⋊C4—1662no—
540C22⋊C4—1662no—
541C22⋊C4—1662no—
542C22⋊C4—1662no—
543C22⋊C4—1662no—
544C22⋊C4—1662no—
545C42—21no—
546C42—21no—
547C42—22no—
548C42—22no—
549C42—832no—
550C42—832no—
551C42—1661no—
552C42—1661no—
553C42—1661no—
554C42—1661no—
555C42C2×C22⋊D8312yes—
556C42#1305059012yes—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—1661no—
564C23—1661no—
565C23—1661no—
566C23—1661no—
567C23—1661no—
568C23—1661no—
569C23—1661no—
570C23#1458180012yes—
571C23C22×C4×D8311yescharacteristic
572D4—3324no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—44no—
586C2×C4—44no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—3321no—
592C2×C4—3321no—
593C2×C4—3321no—
594C2×C4—3321no—
595C2×C4—832no—
596C2×C4—832no—
597C2×C4—1661no—
598C2×C4—1661no—
599C2×C4—1661no—
600C2×C4—1661no—
601C2×C4—1661no—
602C2×C4—1661no—
603C2×C4—1661no—
604C2×C4—1661no—
605C2×C4—1661no—
606C2×C4—1661no—
607C2×C4—1661no—
608C2×C4—1661no—
609C2×C4—1661no—
610C2×C4—1661no—
611C2×C4—1661no—
612C2×C4—1661no—
613C2×C4—1661no—
614C2×C4—1661no—
615C2×C4—1661no—
616C2×C4C4×C22⋊D8312yes—
617C2×C4C4×C22⋊D8312yes—
618C2×C4#1458180012yes—
619C2×C4C22×C22⋊D8311yescharacteristic
620C2×C4#41×D8311yescharacteristic
621C2×C4#41×D8311yescharacteristic
622C2×C4#41×D8311yescharacteristic
623C2×C4#41×D8311yescharacteristic
624C2×C4C2×#1305059011yescharacteristic
625C8—22no—
626C8—22no—
627C8—41no—
628C8—41no—
629C8—3321no—
630C8—3321no—
631C8—1662no—
632C8—1662no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—3321no—
641C22—3321no—
642C22—3321no—
643C22—3321no—
644C22—3321no—
645C22—3321no—
646C22—3321no—
647C22#117×D8311yescharacteristic
648C22C2×C4×C22⋊D8311yescharacteristic
649C22#1912816911yescharacteristic
650C22C2×#1458180011yescharacteristic
651C22C2×#1458180011yescharacteristic
652C22#1912846711yescharacteristic
653C22#1912846711yescharacteristic
654C4—22no—
655C4—22no—
656C4—22no—
657C4—41no—
658C4—41no—
659C4—3321no—
660C4—3321no—
661C4—3321no—
662C4—3321no—
663C4—3321no—
664C4—1662no—
665C4—1662no—
666C4#1912822911yescharacteristic
667C4#1912822911yescharacteristic
668C4#1912824711yescharacteristic
669C4#1912824711yescharacteristic
670C2—42no—
671C2—6641no—
672C2#2490992211yescharacteristic
673C2#2491612211yescharacteristic
674C2#2491613011yescharacteristic
675C2#2491618811yescharacteristic
676C2#2491618811yescharacteristic
677C2#2491643211yescharacteristic
678C2#2491644311yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D83
commutator, socleC23×C83C23×C4
FittingC2×#432×C83C2
prime radicalC22×C22⋊D83C2×C4
cosocleC22×C4×C83C24
hypercenterC2×#432D83
hypocenterC83#21273
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C22×C4 ◁ C2×#432

Complements

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

NH ≅ G/Ntype
1. C2×#19127763C2semidirect
5. #24908183C2semidirect
6. #24908178C2semidirect
7. #24908079C2semidirect
8. #24908075C2semidirect
9. #24908072C2semidirect
10. #24908068C2semidirect
11. #24907323C2semidirect
12. #24907232C2semidirect
13. C4×C22⋊(C83⋊C8)C2semidirect
14. #24907151C2semidirect
15. C2×#432×C83C2semidirect
131. #97×C83D4semidirect
341. C2×#432D83semidirect
355. C83#21273semidirect
457. #97C22⋊D83semidirect

Maximal subgroups

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

subgroupindex
C2×#191277632
#249099062
#249082592
#249082552
#249081832
#249081782
#249080792
#249080752
#249080722
#249080682
#249073232
#249072322
C4×C22⋊(C83⋊C8)2
#249071512
C2×#432×C832
#2127383