Finite Group Databasebeta

← #28609167

Subgroups — #28609167

Order 15104.

1058 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837558C211yesmaximal, characteristic
2C2×#16837507C211yesmaximal, characteristic, complemented
3C2×#16837411C211yesmaximal, characteristic
4#21427121C211yesmaximal, characteristic
5#21424956C211yesmaximal, characteristic, complemented
6#21424789C211yesmaximal, characteristic, complemented
7#21424727C211yesmaximal, characteristic, complemented
8#21424527C211yesmaximal, characteristic
9#21424440C211yesmaximal, characteristic, complemented
10#21424437C211yesmaximal, characteristic, complemented
11#21424350C211yesmaximal, characteristic, complemented
12#21424293C211yesmaximal, characteristic
13C4×#14273651C211yesmaximal, characteristic, complemented
14#21423880C211yesmaximal, characteristic
15Q8×C22⋊C4×C59C211yesmaximal, characteristic
16C22×#11745672C2211yescharacteristic
17C22×#11745672C2211yescharacteristic
18C22×#11745664C2211yescharacteristic
19C2×#14273706C2211yescharacteristic
20C2×C4×Dic118C2211yescharacteristic
21C2×#14273686C2211yescharacteristic
22#16837558C418yescomplemented
23#16837507—24no—
24C2×#14273660C2211yescharacteristic
25C2×#14273658C2211yescharacteristic
26#16837411—24no—
27C2×#14273651C2211yescharacteristic
28C2×#14273651C2211yescharacteristic
29C2×#14273651C2211yescharacteristic
30C2×#14273651C2211yescharacteristic
31C2×#14273651C2211yescharacteristic
32C2×#14273651C2211yescharacteristic
33C2×#14273650C2211yescharacteristic
34C2×#14273650C2211yescharacteristic
35C2×C22⋊(C59⋊C8)C2211yescharacteristic
36C2×#14273638C2211yescharacteristic
37C2×C4×C59⋊C8C2211yescharacteristic
38#16837308C2211yescharacteristic
39#16837300C2211yescharacteristic
40#16837296—21no—
41#16837290—21no—
42#16837284—21no—
43C4×C4⋊Dic59C2211yescharacteristic
44#16837253—21no—
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837157C2211yescharacteristic
50#16837157C2211yescharacteristic
51C23×Q8×C59C2211yescharacteristic
52C2×C4×Q8×C59C2211yescharacteristic
53C2×C4×Q8×C59C2211yescharacteristic
54C59×#391—21no—
55C59×#391—21no—
56C59×#391C2211yescharacteristic
57C59×#391C2211yescharacteristic
58C59×#380—21no—
59C59×#380C2211yescharacteristic
60C4×C22⋊C4×C59—21no—
61C4×C22⋊C4×C59C2211yescharacteristic
62C22×Dic118C2311yescharacteristic
63C2×#11745672—22no—
64C2×#11745672—22no—
65C2×#11745672—41no—
66C2×#11745672—41no—
67C2×#11745672C2×C414yes—
68C2×#11745672C2×C414yes—
69C2×#11745664—22no—
70C2×#11745664—22no—
71C2×#11745664—41no—
72C22×C59⋊C8C2311yescharacteristic
73C22×C59⋊C8C2311yescharacteristic
74C22×C59⋊C8C2311yescharacteristic
75C22×C59⋊C8C2311yescharacteristic
76#14273706—22no—
77#14273706C2×C414yes—
78C4×Dic118—22no—
79C4×Dic118—41no—
80#14273686—22no—
81#14273686—41no—
82C2×C4⋊Dic59C2311yescharacteristic
83C2×C4⋊Dic59C2311yescharacteristic
84C2×C4⋊Dic59C2311yescharacteristic
85C2×Dic59⋊C4—21no—
86C2×Dic59⋊C4—21no—
87C2×Dic59⋊C4—21no—
88C2×C22⋊Dic59—21no—
89C2×C22⋊Dic59—21no—
90C2×C4×Dic59—21no—
91C2×C4×Dic59—21no—
92C2×C4×Dic59—21no—
93#14273660—41no—
94#14273658—22no—
95#14273651—22no—
96#14273651—22no—
97#14273651—22no—
98#14273651C2×C414yes—
99#14273651C2×C414yes—
100#14273651D414yes—
101#14273650—22no—
102#14273650—41no—
103C22⋊(C59⋊C8)C2×C414yes—
104#14273638—22no—
105C4×C59⋊C8—41no—
106C59⋊#95—21no—
107C59⋊#95—21no—
108C59⋊#95—21no—
109C59⋊#95—21no—
110C22×Q8×C59—21no—
111C22×Q8×C59—22no—
112C22×Q8×C59—22no—
113C22×Q8×C59—22no—
114C22×Q8×C59—41no—
115C22×Q8×C59—41no—
116C22×Q8×C59C2×C414yes—
117C22×Q8×C59C2311yescharacteristic
118C22×Q8×C59C2311yescharacteristic
119C23×C4×C59—21no—
120C23×C4×C59C2311yescharacteristic
121C4×Q8×C59—22no—
122C4×Q8×C59—22no—
123C4×Q8×C59—41no—
124C4×Q8×C59—41no—
125C2×C4⋊C4×C59—21no—
126C2×C4⋊C4×C59—21no—
127C2×C4⋊C4×C59C2311yescharacteristic
128C2×C4⋊C4×C59C2311yescharacteristic
129C2×C22⋊C4×C59—21no—
130C2×C22⋊C4×C59D411yescharacteristic
131C2×C22⋊C4×C59D411yescharacteristic
132C2×C42×C59—21no—
133C2×C42×C59—21no—
134C2×C42×C59C2311yescharacteristic
135C2×C42×C59C2311yescharacteristic
136#95×C59—21no—
137#95×C59—21no—
138#95×C59—21no—
139#95×C59—21no—
140#95×C59—21no—
141#95×C59D411yescharacteristic
142#95×C59D411yescharacteristic
143C24×C59C2×D411yescharacteristic
144C2×Q8×C59—24no—
145C2×Q8×C59—21no—
146C2×Q8×C59—21no—
147C2×Q8×C59—21no—
148C2×Q8×C59—21no—
149C2×Q8×C59—28no—
150C2×Q8×C59—21no—
151C2×Q8×C59—21no—
152C2×Q8×C59—21no—
153C2×Q8×C59—21no—
154C2×Q8×C59—42no—
155C2×Q8×C59—42no—
156C2×Q8×C59—44no—
157C2×Q8×C59—44no—
158C2×Q8×C59—44no—
159C2×Q8×C59C22×C412yes—
160C2×Q8×C59C22×C412yes—
161C2×Q8×C59C2×D412yes—
162C2×Q8×C59#4112yes—
163C22×C4×C59—21no—
164C22×C4×C59—21no—
165C22×C4×C59—21no—
166C22×C4×C59—21no—
167C22×C4×C59—21no—
168C22×C4×C59—24no—
169C22×C4×C59—21no—
170C22×C4×C59—21no—
171C22×C4×C59—21no—
172C22×C4×C59—42no—
173C22×C4×C59—42no—
174C22×C4×C59C22×C412yes—
175C22×C4×C59C2×D411yescharacteristic
176C22×C4×C59C2×D411yescharacteristic
177C22×C4×C59C2×D411yescharacteristic
178C22×C4×C59C2×D411yescharacteristic
179C22×C4×C59C2×D411yescharacteristic
180C22×C4×C59#4112yes—
181C22×C4×C59C2411yescharacteristic
182C22×Dic59—21no—
183C22×Dic59—21no—
184C22×Dic59—21no—
185C22×Dic59—21no—
186C2×Dic118—21no—
187C2×Dic118—21no—
188C2×Dic118—21no—
189C2×Dic118—21no—
190C2×Dic118—21no—
191C2×Dic118C22×C412yes—
192C4⋊C4×C59—21no—
193C4⋊C4×C59—21no—
194C4⋊C4×C59—21no—
195C4⋊C4×C59—21no—
196C4⋊C4×C59—42no—
197C4⋊C4×C59—42no—
198C22⋊C4×C59—22no—
199C22⋊C4×C59—41no—
200C22⋊C4×C59—42no—
201C42×C59—21no—
202C42×C59—21no—
203C42×C59—21no—
204C42×C59—21no—
205C42×C59—42no—
206C42×C59—42no—
207C22⋊Dic59—24no—
208C22⋊Dic59—42no—
209#11745672—28no—
210#11745672—44no—
211C4⋊Dic59—21no—
212C4⋊Dic59—21no—
213C4⋊Dic59—21no—
214C4⋊Dic59—21no—
215C4⋊Dic59C22×C412yes—
216C4⋊Dic59C2×D412yes—
217Dic59⋊C4—24no—
218Dic59⋊C4—42no—
219Dic59⋊C4—42no—
220C4×Dic59—42no—
221C4×Dic59—42no—
222C4×Dic59—42no—
223#11745664—44no—
224C2×C59⋊C8—21no—
225C2×C59⋊C8—21no—
226C2×C59⋊C8—21no—
227C2×C59⋊C8—21no—
228C2×C59⋊C8—21no—
229C2×C59⋊C8—21no—
230C2×C59⋊C8—21no—
231C2×C59⋊C8—21no—
232C2×C59⋊C8—21no—
233C2×C59⋊C8C22×C412yes—
234C2×C59⋊C8C22×C412yes—
235C2×C59⋊C8C2×D412yes—
236C23×C59—21no—
237C23×C59—21no—
238C23×C59—21no—
239C23×C59—21no—
240C23×C59—21no—
241C23×C59—21no—
242C23×C59C4×D412yes—
243C23×C59C22×D411yescharacteristic
244Q8×C59—22no—
245Q8×C59—22no—
246Q8×C59—22no—
247Q8×C59—22no—
248Q8×C59—22no—
249Q8×C59—48no—
250Q8×C59—41no—
251Q8×C59—41no—
252Q8×C59C4×D414yes—
253C2×C4×C59—22no—
254C2×C4×C59—21no—
255C2×C4×C59—22no—
256C2×C4×C59—21no—
257C2×C4×C59—22no—
258C2×C4×C59—21no—
259C2×C4×C59—21no—
260C2×C4×C59—22no—
261C2×C4×C59—22no—
262C2×C4×C59—22no—
263C2×C4×C59—22no—
264C2×C4×C59—22no—
265C2×C4×C59—21no—
266C2×C4×C59—21no—
267C2×C4×C59—21no—
268C2×C4×C59—21no—
269C2×C4×C59—21no—
270C2×C4×C59—21no—
271C2×C4×C59—21no—
272C2×C4×C59—21no—
273C2×C4×C59—21no—
274C2×C4×C59—48no—
275C2×C4×C59—41no—
276C2×C4×C59—41no—
277C2×C4×C59—41no—
278C2×C4×C59—41no—
279C2×C4×C59—41no—
280C2×C4×C59—41no—
281C2×C4×C59—41no—
282C2×C4×C59—41no—
283C2×C4×C59C4×D412yes—
284C2×C4×C59#13712yes—
285C2×C4×C59C23×C411yescharacteristic
286C2×C4×C59C22×D411yescharacteristic
287C2×C4×C59C2×#4111yescharacteristic
288C2×C4×C59C2×#4111yescharacteristic
289C2×C4×C59H(5,𝔽2)11yescharacteristic
290C2×C4×C59H(5,𝔽2)11yescharacteristic
291C2×Dic59—22no—
292C2×Dic59—22no—
293C2×Dic59—22no—
294C2×Dic59—41no—
295C2×Dic59—41no—
296C2×Dic59—41no—
297C2×Dic59—41no—
298C2×Dic59—41no—
299C2×Dic59—41no—
300C2×Dic59—41no—
301C2×Dic59—41no—
302C2×Dic59—41no—
303Dic118—22no—
304Dic118—22no—
305Dic118—41no—
306Dic118—41no—
307C59⋊C8—22no—
308C59⋊C8—22no—
309C59⋊C8—22no—
310C59⋊C8—41no—
311#22869—591nomaximal, Sylow
312C22×C59—22no—
313C22×C59—22no—
314C22×C59—22no—
315C22×C59—41no—
316C22×C59—41no—
317C22×C59—41no—
318C22×C59—41no—
319C22×C59C2×C4×D411yescharacteristic
320C22×C59D4211yescharacteristic
321C22×C59#54611yescharacteristic
322C22×C59C2×#13711yescharacteristic
323C22×C59#57511yescharacteristic
324C22×C59#57811yescharacteristic
325C22×C59#57811yescharacteristic
326C4×C59—22no—
327C4×C59—24no—
328C4×C59—22no—
329C4×C59—42no—
330C4×C59—41no—
331C4×C59—41no—
332C4×C59—41no—
333C4×C59—81no—
334C4×C59—81no—
335C4×C59C2×C4×D411yescharacteristic
336C4×C59#51811yescharacteristic
337C4×C59#54611yescharacteristic
338C4×C59#55111yescharacteristic
339Dic59—42no—
340Dic59—42no—
341Dic59—42no—
342Dic59—81no—
343C2×#451—591no—
344C2×#441—591no—
345C2×#419—591no—
346#2362—591no—
347Q8×C22⋊C4D5911yescharacteristic
348#1969—591no—
349#1935—591no—
350#1927—591no—
351#1894—591no—
352#1878—591no—
353#1878—591no—
354#1863—591no—
355#1854—591no—
356C4×#103—591no—
357#1753—591no—
358C2×C59—42no—
359C2×C59#235811yescharacteristic
360C2×C59C4×#13711yescharacteristic
361C2×C59#295011yescharacteristic
362C2×C59#327611yescharacteristic
363C2×C59#327711yescharacteristic
364C2×C59#331211yescharacteristic
365C2×C59#331311yescharacteristic
366C23×Q8C2×D5911yescharacteristic
367C22×Q16—591no—
368C22×Q16—591no—
369C22×M16—591no—
370C2×C22⋊Q8—591no—
371C2×C4×Q8—591no—
372C2×C4×Q8C2×D5911yescharacteristic
373C2×C4×Q8C2×D5911yescharacteristic
374C2×#117—591no—
375#451—598no—
376#441—1184no—
377C2×#107—591no—
378C2×#106—591no—
379#419—1184no—
380C2×#103—591no—
381C2×#103—591no—
382C2×#103—591no—
383C2×#103—591no—
384C2×#103—591no—
385C2×#103—591no—
386C2×#103—591no—
387C2×#103—591no—
388C2×C22⋊C8—591no—
389C2×#97—591no—
390C2×C4×C8—591no—
391#391—21no—
392#391—21no—
393#391—591no—
394#391C2×D5911yescharacteristic
395#391C2×D5911yescharacteristic
396#389—591no—
397#388—1181no—
398#388—1181no—
399#387—1181no—
400#380—21no—
401#380C2×D5911yescharacteristic
402C4×C4⋊C4—591no—
403C4×C4⋊C4—1181no—
404C4×C22⋊C4—21no—
405C4×C22⋊C4C2×D5911yescharacteristic
406#340—591no—
407#340—591no—
408#340—591no—
409#340—591no—
410#336—591no—
411#336—591no—
412C59#2286911yescharacteristic, complemented, Sylow
413C22×Q8—22no—
414C22×Q8—21no—
415C22×Q8—22no—
416C22×Q8—22no—
417C22×Q8—41no—
418C22×Q8—41no—
419C22×Q8—591no—
420C22×Q8C4×D5914yes—
421C22×Q8C22×D5911yescharacteristic
422C22×Q8C22×D5911yescharacteristic
423C23×C4—21no—
424C23×C4C22×D5911yescharacteristic
425C2×Q16—594no—
426C2×Q16—594no—
427C2×Q16—1182no—
428C2×Q16—1182no—
429C2×Q16—2361no—
430C2×Q16—2361no—
431C2×M16—1182no—
432C2×M16—1182no—
433C2×M16—2361no—
434C22×C8—591no—
435C22×C8—591no—
436C22×C8—591no—
437C22×C8—591no—
438C22⋊Q8—594no—
439C22⋊Q8—1182no—
440C4×Q8—22no—
441C4×Q8—22no—
442C4×Q8—41no—
443C4×Q8—41no—
444C4×Q8—1182no—
445C4×Q8—2361no—
446#117—1182no—
447#117—2361no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—591no—
451C2×C4⋊C4—591no—
452C2×C4⋊C4—591no—
453C2×C4⋊C4—1181no—
454C2×C4⋊C4—1181no—
455C2×C4⋊C4—1181no—
456C2×C4⋊C4C22×D5911yescharacteristic
457C2×C4⋊C4C22×D5911yescharacteristic
458C2×C22⋊C4—21no—
459C2×C22⋊C4—1181no—
460C2×C22⋊C4—1181no—
461C2×C22⋊C4C22⋊D5911yescharacteristic
462C2×C22⋊C4C22⋊D5911yescharacteristic
463C2×C42—21no—
464C2×C42—21no—
465C2×C42—1181no—
466C2×C42—1181no—
467C2×C42—1181no—
468C2×C42C22×D5911yescharacteristic
469C2×C42C22×D5911yescharacteristic
470#107—2361no—
471#106—1182no—
472#103—594no—
473#103—594no—
474#103—594no—
475#103—1182no—
476#103—1182no—
477#103—1182no—
478#103—1182no—
479#103—2361no—
480C22⋊C8—594no—
481#97—1182no—
482C4×C8—2361no—
483#95—21no—
484#95—21no—
485#95—21no—
486#95—21no—
487#95—21no—
488#95—1181no—
489#95—1181no—
490#95—1181no—
491#95—1181no—
492#95C22⋊D5911yescharacteristic
493#95C22⋊D5911yescharacteristic
494C24C2×C22⋊D5911yescharacteristic
495C2×Q8—24no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—28no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—42no—
506C2×Q8—42no—
507C2×Q8—44no—
508C2×Q8—44no—
509C2×Q8—44no—
510C2×Q8—592no—
511C2×Q8—1181no—
512C2×Q8—1181no—
513C2×Q8—1181no—
514C2×Q8—1181no—
515C2×Q8—1181no—
516C2×Q8C2×C4×D5912yes—
517C2×Q8C2×C4×D5912yes—
518C2×Q8D4×D5912yes—
519C2×Q8#1174568712yes—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—24no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4—1181no—
532C22×C4—1181no—
533C22×C4—1181no—
534C22×C4—1181no—
535C22×C4C2×C4×D5912yes—
536C22×C4#1174568512yes—
537C22×C4C2×C22⋊D5911yescharacteristic
538C22×C4C2×C22⋊D5911yescharacteristic
539C22×C4C2×C22⋊D5911yescharacteristic
540C22×C4C2×C22⋊D5911yescharacteristic
541C22×C4C2×C22⋊D5911yescharacteristic
542C22×C4C23×D5911yescharacteristic
543Q16—1188no—
544Q16—2364no—
545M16—2364no—
546C2×C8—592no—
547C2×C8—592no—
548C2×C8—592no—
549C2×C8—1181no—
550C2×C8—1181no—
551C2×C8—1181no—
552C2×C8—1181no—
553C2×C8—1181no—
554C2×C8—1181no—
555C2×C8—1181no—
556C2×C8—1181no—
557C2×C8—1181no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—592no—
565C4⋊C4—592no—
566C4⋊C4—1184no—
567C4⋊C4—1181no—
568C4⋊C4—1181no—
569C4⋊C4—1181no—
570C4⋊C4—1181no—
571C4⋊C4—2362no—
572C4⋊C4—2362no—
573C22⋊C4—22no—
574C22⋊C4—41no—
575C22⋊C4—42no—
576C22⋊C4—1184no—
577C22⋊C4—2362no—
578C42—21no—
579C42—21no—
580C42—21no—
581C42—21no—
582C42—42no—
583C42—42no—
584C42—2362no—
585C42—2362no—
586C42—2362no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23C4×C22⋊D5912yes—
594C23C22×C22⋊D5911yescharacteristic
595Q8—22no—
596Q8—22no—
597Q8—22no—
598Q8—22no—
599Q8—22no—
600Q8—48no—
601Q8—41no—
602Q8—41no—
603Q8—1182no—
604Q8—1182no—
605Q8—2361no—
606Q8—2361no—
607Q8(C22⋊D59)⋊C414yes—
608C2×C4—21no—
609C2×C4—22no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—48no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—1182no—
639C2×C4—1182no—
640C2×C4—1182no—
641C2×C4—2361no—
642C2×C4—2361no—
643C2×C4—2361no—
644C2×C4—2361no—
645C2×C4—2361no—
646C2×C4—2361no—
647C2×C4—2361no—
648C2×C4—2361no—
649C2×C4—2361no—
650C2×C4C4×C22⋊D5912yes—
651C2×C4#1427375812yes—
652C2×C4C22×C4×D5911yescharacteristic
653C2×C4C2×D4×D5911yescharacteristic
654C2×C4C2×#1174568711yescharacteristic
655C2×C4C2×#1174568511yescharacteristic
656C2×C4#1427377211yescharacteristic
657C2×C4#1427377211yescharacteristic
658C8—1182no—
659C8—1182no—
660C8—1182no—
661C8—2361no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22C2×C4×C22⋊D5911yescharacteristic
670C22D4×C22⋊D5911yescharacteristic
671C22#1683804611yescharacteristic
672C22C2×#1427375811yescharacteristic
673C22#1683820011yescharacteristic
674C22#1683821711yescharacteristic
675C22#1683821711yescharacteristic
676C4—22no—
677C4—24no—
678C4—22no—
679C4—41no—
680C4—41no—
681C4—41no—
682C4—42no—
683C4—81no—
684C4—81no—
685C4—4721no—
686C4—2362no—
687C4—2362no—
688C4—2362no—
689C4C2×(C22⋊D59)⋊C411yescharacteristic
690C4#1683787511yescharacteristic
691C4#1683804211yescharacteristic
692C4#1683807811yescharacteristic
693C2—42no—
694C2#2142707511yescharacteristic
695C2C4×#1427375811yescharacteristic
696C2#2143296211yescharacteristic
697C2#2143574211yescharacteristic
698C2#2143574911yescharacteristic
699C2#2143614711yescharacteristic
700C2#2143616211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingQ8×C22⋊C4×C59C2
socleC23×C59C22×D4
prime radicalC24×C59C2×D4
cosocleC22×C4×C59C24
hypercenterQ8×C22⋊C4D59
hypocenterC59#22869
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ Q8×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×#16837507C2semidirect
5. #21424956C2semidirect
6. #21424789C2semidirect
7. #21424727C2semidirect
9. #21424440C2semidirect
10. #21424437C2semidirect
11. #21424350C2semidirect
13. C4×#14273651C2semidirect
22. #16837558C4semidirect
412. C59#22869semidirect

Maximal subgroups

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

subgroupindex
C2×#168375582
C2×#168375072
C2×#168374112
#214271212
#214249562
#214247892
#214247272
#214245272
#214244402
#214244372
#214243502
#214242932
C4×#142736512
#214238802
Q8×C22⋊C4×C592
#2286959