Finite Group Databasebeta

← #29700491

Subgroups — #29700491

Order 15616.

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×#16839918C211yesmaximal, characteristic
2C2×#16839867C211yesmaximal, characteristic, complemented
3C2×#16839771C211yesmaximal, characteristic
4#21448844C211yesmaximal, characteristic
5#21446679C211yesmaximal, characteristic, complemented
6#21446512C211yesmaximal, characteristic, complemented
7#21446450C211yesmaximal, characteristic, complemented
8#21446250C211yesmaximal, characteristic
9#21446163C211yesmaximal, characteristic, complemented
10#21446160C211yesmaximal, characteristic, complemented
11#21446073C211yesmaximal, characteristic, complemented
12#21446016C211yesmaximal, characteristic
13C4×#14519701C211yesmaximal, characteristic, complemented
14#21445603C211yesmaximal, characteristic
15Q8×C22⋊C4×C61C211yesmaximal, characteristic
16C22×#11758202C2211yescharacteristic
17C22×#11758202C2211yescharacteristic
18C22×#11758194C2211yescharacteristic
19C2×#14519756C2211yescharacteristic
20C2×C4×Dic122C2211yescharacteristic
21C2×#14519736C2211yescharacteristic
22#16839918C418yescomplemented
23#16839867—24no—
24C2×#14519710C2211yescharacteristic
25C2×#14519708C2211yescharacteristic
26#16839771—24no—
27C2×#14519701C2211yescharacteristic
28C2×#14519701C2211yescharacteristic
29C2×#14519701C2211yescharacteristic
30C2×#14519701C2211yescharacteristic
31C2×#14519701C2211yescharacteristic
32C2×#14519701C2211yescharacteristic
33C2×#14519700C2211yescharacteristic
34C2×#14519700C2211yescharacteristic
35C2×C22⋊#92418C2211yescharacteristic
36C2×#14519688C2211yescharacteristic
37C2×C4×#92418C2211yescharacteristic
38#16839668C2211yescharacteristic
39#16839660C2211yescharacteristic
40#16839656—21no—
41#16839650—21no—
42#16839644—21no—
43C4×C4⋊Dic61C2211yescharacteristic
44#16839613—21no—
45#16839524C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839524C2211yescharacteristic
49#16839517C2211yescharacteristic
50#16839517C2211yescharacteristic
51C23×Q8×C61C2211yescharacteristic
52C2×C4×Q8×C61C2211yescharacteristic
53C2×C4×Q8×C61C2211yescharacteristic
54C61×#391—21no—
55C61×#391—21no—
56C61×#391C2211yescharacteristic
57C61×#391C2211yescharacteristic
58C61×#380—21no—
59C61×#380C2211yescharacteristic
60C4×C22⋊C4×C61—21no—
61C4×C22⋊C4×C61C2211yescharacteristic
62C22×Dic122C2311yescharacteristic
63C2×#11758202—22no—
64C2×#11758202—22no—
65C2×#11758202—41no—
66C2×#11758202—41no—
67C2×#11758202C2×C414yes—
68C2×#11758202C2×C414yes—
69C2×#11758194—22no—
70C2×#11758194—22no—
71C2×#11758194—41no—
72C22×#92418C2311yescharacteristic
73C22×#92418C2311yescharacteristic
74C22×#92418C2311yescharacteristic
75C22×#92418C2311yescharacteristic
76#14519756—22no—
77#14519756C2×C414yes—
78C4×Dic122—22no—
79C4×Dic122—41no—
80#14519736—22no—
81#14519736—41no—
82C2×C4⋊Dic61C2311yescharacteristic
83C2×C4⋊Dic61C2311yescharacteristic
84C2×C4⋊Dic61C2311yescharacteristic
85C2×#11758196—21no—
86C2×#11758196—21no—
87C2×#11758196—21no—
88C2×C22⋊Dic61—21no—
89C2×C22⋊Dic61—21no—
90C2×C4×Dic61—21no—
91C2×C4×Dic61—21no—
92C2×C4×Dic61—21no—
93#14519710—41no—
94#14519708—22no—
95#14519701—22no—
96#14519701—22no—
97#14519701—22no—
98#14519701C2×C414yes—
99#14519701C2×C414yes—
100#14519701D414yes—
101#14519700—22no—
102#14519700—41no—
103C22⋊#92418C2×C414yes—
104#14519688—22no—
105C4×#92418—41no—
106#14519684—21no—
107#14519684—21no—
108#14519684—21no—
109#14519684—21no—
110C22×Q8×C61—21no—
111C22×Q8×C61—22no—
112C22×Q8×C61—22no—
113C22×Q8×C61—22no—
114C22×Q8×C61—41no—
115C22×Q8×C61—41no—
116C22×Q8×C61C2×C414yes—
117C22×Q8×C61C2311yescharacteristic
118C22×Q8×C61C2311yescharacteristic
119C23×C4×C61—21no—
120C23×C4×C61C2311yescharacteristic
121C4×Q8×C61—22no—
122C4×Q8×C61—22no—
123C4×Q8×C61—41no—
124C4×Q8×C61—41no—
125C2×C4⋊C4×C61—21no—
126C2×C4⋊C4×C61—21no—
127C2×C4⋊C4×C61C2311yescharacteristic
128C2×C4⋊C4×C61C2311yescharacteristic
129C2×C22⋊C4×C61—21no—
130C2×C22⋊C4×C61D411yescharacteristic
131C2×C22⋊C4×C61D411yescharacteristic
132C2×C42×C61—21no—
133C2×C42×C61—21no—
134C2×C42×C61C2311yescharacteristic
135C2×C42×C61C2311yescharacteristic
136#95×C61—21no—
137#95×C61—21no—
138#95×C61—21no—
139#95×C61—21no—
140#95×C61—21no—
141#95×C61D411yescharacteristic
142#95×C61D411yescharacteristic
143C24×C61C2×D411yescharacteristic
144C2×Q8×C61—24no—
145C2×Q8×C61—21no—
146C2×Q8×C61—21no—
147C2×Q8×C61—21no—
148C2×Q8×C61—21no—
149C2×Q8×C61—28no—
150C2×Q8×C61—21no—
151C2×Q8×C61—21no—
152C2×Q8×C61—21no—
153C2×Q8×C61—21no—
154C2×Q8×C61—42no—
155C2×Q8×C61—42no—
156C2×Q8×C61—44no—
157C2×Q8×C61—44no—
158C2×Q8×C61—44no—
159C2×Q8×C61C22×C412yes—
160C2×Q8×C61C22×C412yes—
161C2×Q8×C61C2×D412yes—
162C2×Q8×C61#4112yes—
163C22×C4×C61—21no—
164C22×C4×C61—21no—
165C22×C4×C61—21no—
166C22×C4×C61—21no—
167C22×C4×C61—21no—
168C22×C4×C61—24no—
169C22×C4×C61—21no—
170C22×C4×C61—21no—
171C22×C4×C61—21no—
172C22×C4×C61—42no—
173C22×C4×C61—42no—
174C22×C4×C61C22×C412yes—
175C22×C4×C61C2×D411yescharacteristic
176C22×C4×C61C2×D411yescharacteristic
177C22×C4×C61C2×D411yescharacteristic
178C22×C4×C61C2×D411yescharacteristic
179C22×C4×C61C2×D411yescharacteristic
180C22×C4×C61#4112yes—
181C22×C4×C61C2411yescharacteristic
182C22×Dic61—21no—
183C22×Dic61—21no—
184C22×Dic61—21no—
185C22×Dic61—21no—
186C2×Dic122—21no—
187C2×Dic122—21no—
188C2×Dic122—21no—
189C2×Dic122—21no—
190C2×Dic122—21no—
191C2×Dic122C22×C412yes—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—21no—
196C4⋊C4×C61—42no—
197C4⋊C4×C61—42no—
198C22⋊C4×C61—22no—
199C22⋊C4×C61—41no—
200C22⋊C4×C61—42no—
201C42×C61—21no—
202C42×C61—21no—
203C42×C61—21no—
204C42×C61—21no—
205C42×C61—42no—
206C42×C61—42no—
207C22⋊Dic61—24no—
208C22⋊Dic61—42no—
209#11758202—28no—
210#11758202—44no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61C22×C412yes—
216C4⋊Dic61C2×D412yes—
217#11758196—24no—
218#11758196—42no—
219#11758196—42no—
220C4×Dic61—42no—
221C4×Dic61—42no—
222C4×Dic61—42no—
223#11758194—44no—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418C22×C412yes—
234C2×#92418C22×C412yes—
235C2×#92418C2×D412yes—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61—21no—
241C23×C61—21no—
242C23×C61C4×D412yes—
243C23×C61C22×D411yescharacteristic
244Q8×C61—22no—
245Q8×C61—22no—
246Q8×C61—22no—
247Q8×C61—22no—
248Q8×C61—22no—
249Q8×C61—48no—
250Q8×C61—41no—
251Q8×C61—41no—
252Q8×C61C4×D414yes—
253C2×C4×C61—22no—
254C2×C4×C61—21no—
255C2×C4×C61—22no—
256C2×C4×C61—21no—
257C2×C4×C61—22no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—22no—
261C2×C4×C61—22no—
262C2×C4×C61—22no—
263C2×C4×C61—22no—
264C2×C4×C61—22no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—21no—
270C2×C4×C61—21no—
271C2×C4×C61—21no—
272C2×C4×C61—21no—
273C2×C4×C61—21no—
274C2×C4×C61—48no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61—41no—
279C2×C4×C61—41no—
280C2×C4×C61—41no—
281C2×C4×C61—41no—
282C2×C4×C61—41no—
283C2×C4×C61C4×D412yes—
284C2×C4×C61#13712yes—
285C2×C4×C61C23×C411yescharacteristic
286C2×C4×C61C22×D411yescharacteristic
287C2×C4×C61C2×#4111yescharacteristic
288C2×C4×C61C2×#4111yescharacteristic
289C2×C4×C61H(5,𝔽2)11yescharacteristic
290C2×C4×C61H(5,𝔽2)11yescharacteristic
291C2×Dic61—22no—
292C2×Dic61—22no—
293C2×Dic61—22no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303Dic122—22no—
304Dic122—22no—
305Dic122—41no—
306Dic122—41no—
307#92418—22no—
308#92418—22no—
309#92418—22no—
310#92418—41no—
311#22869—611nomaximal, Sylow
312C22×C61—22no—
313C22×C61—22no—
314C22×C61—22no—
315C22×C61—41no—
316C22×C61—41no—
317C22×C61—41no—
318C22×C61—41no—
319C22×C61C2×C4×D411yescharacteristic
320C22×C61D4211yescharacteristic
321C22×C61#54611yescharacteristic
322C22×C61C2×#13711yescharacteristic
323C22×C61#57511yescharacteristic
324C22×C61#57811yescharacteristic
325C22×C61#57811yescharacteristic
326C4×C61—22no—
327C4×C61—24no—
328C4×C61—22no—
329C4×C61—42no—
330C4×C61—41no—
331C4×C61—41no—
332C4×C61—41no—
333C4×C61—81no—
334C4×C61—81no—
335C4×C61C2×C4×D411yescharacteristic
336C4×C61#51811yescharacteristic
337C4×C61#54611yescharacteristic
338C4×C61#55111yescharacteristic
339Dic61—42no—
340Dic61—42no—
341Dic61—42no—
342Dic61—81no—
343C2×#451—611no—
344C2×#441—611no—
345C2×#419—611no—
346#2362—611no—
347Q8×C22⋊C4D6111yescharacteristic
348#1969—611no—
349#1935—611no—
350#1927—611no—
351#1894—611no—
352#1878—611no—
353#1878—611no—
354#1863—611no—
355#1854—611no—
356C4×#103—611no—
357#1753—611no—
358C2×C61—42no—
359C2×C61#235811yescharacteristic
360C2×C61C4×#13711yescharacteristic
361C2×C61#295011yescharacteristic
362C2×C61#327611yescharacteristic
363C2×C61#327711yescharacteristic
364C2×C61#331211yescharacteristic
365C2×C61#331311yescharacteristic
366C23×Q8C2×D6111yescharacteristic
367C22×Q16—611no—
368C22×Q16—611no—
369C22×M16—611no—
370C2×C22⋊Q8—611no—
371C2×C4×Q8—611no—
372C2×C4×Q8C2×D6111yescharacteristic
373C2×C4×Q8C2×D6111yescharacteristic
374C2×#117—611no—
375#451—618no—
376#441—1224no—
377C2×#107—611no—
378C2×#106—611no—
379#419—1224no—
380C2×#103—611no—
381C2×#103—611no—
382C2×#103—611no—
383C2×#103—611no—
384C2×#103—611no—
385C2×#103—611no—
386C2×#103—611no—
387C2×#103—611no—
388C2×C22⋊C8—611no—
389C2×#97—611no—
390C2×C4×C8—611no—
391#391—21no—
392#391—21no—
393#391—611no—
394#391C2×D6111yescharacteristic
395#391C2×D6111yescharacteristic
396#389—611no—
397#388—1221no—
398#388—1221no—
399#387—1221no—
400#380—21no—
401#380C2×D6111yescharacteristic
402C4×C4⋊C4—611no—
403C4×C4⋊C4—1221no—
404C4×C22⋊C4—21no—
405C4×C22⋊C4C2×D6111yescharacteristic
406#340—611no—
407#340—611no—
408#340—611no—
409#340—611no—
410#336—611no—
411#336—611no—
412C61#2286911yescharacteristic, complemented, Sylow
413C22×Q8—22no—
414C22×Q8—21no—
415C22×Q8—22no—
416C22×Q8—22no—
417C22×Q8—41no—
418C22×Q8—41no—
419C22×Q8—611no—
420C22×Q8C4×D6114yes—
421C22×Q8C22×D6111yescharacteristic
422C22×Q8C22×D6111yescharacteristic
423C23×C4—21no—
424C23×C4C22×D6111yescharacteristic
425C2×Q16—614no—
426C2×Q16—614no—
427C2×Q16—1222no—
428C2×Q16—1222no—
429C2×Q16—2441no—
430C2×Q16—2441no—
431C2×M16—1222no—
432C2×M16—1222no—
433C2×M16—2441no—
434C22×C8—611no—
435C22×C8—611no—
436C22×C8—611no—
437C22×C8—611no—
438C22⋊Q8—614no—
439C22⋊Q8—1222no—
440C4×Q8—22no—
441C4×Q8—22no—
442C4×Q8—41no—
443C4×Q8—41no—
444C4×Q8—1222no—
445C4×Q8—2441no—
446#117—1222no—
447#117—2441no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—611no—
451C2×C4⋊C4—611no—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—1221no—
454C2×C4⋊C4—1221no—
455C2×C4⋊C4—1221no—
456C2×C4⋊C4C22×D6111yescharacteristic
457C2×C4⋊C4C22×D6111yescharacteristic
458C2×C22⋊C4—21no—
459C2×C22⋊C4—1221no—
460C2×C22⋊C4—1221no—
461C2×C22⋊C4C22⋊D6111yescharacteristic
462C2×C22⋊C4C22⋊D6111yescharacteristic
463C2×C42—21no—
464C2×C42—21no—
465C2×C42—1221no—
466C2×C42—1221no—
467C2×C42—1221no—
468C2×C42C22×D6111yescharacteristic
469C2×C42C22×D6111yescharacteristic
470#107—2441no—
471#106—1222no—
472#103—614no—
473#103—614no—
474#103—614no—
475#103—1222no—
476#103—1222no—
477#103—1222no—
478#103—1222no—
479#103—2441no—
480C22⋊C8—614no—
481#97—1222no—
482C4×C8—2441no—
483#95—21no—
484#95—21no—
485#95—21no—
486#95—21no—
487#95—21no—
488#95—1221no—
489#95—1221no—
490#95—1221no—
491#95—1221no—
492#95C22⋊D6111yescharacteristic
493#95C22⋊D6111yescharacteristic
494C24C2×C22⋊D6111yescharacteristic
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—24no—
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—612no—
511C2×Q8—1221no—
512C2×Q8—1221no—
513C2×Q8—1221no—
514C2×Q8—1221no—
515C2×Q8—1221no—
516C2×Q8C2×C4×D6112yes—
517C2×Q8C2×C4×D6112yes—
518C2×Q8D4×D6112yes—
519C2×Q8#1175822412yes—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—24no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4—1221no—
532C22×C4—1221no—
533C22×C4—1221no—
534C22×C4—1221no—
535C22×C4C2×C4×D6112yes—
536C22×C4#1175822212yes—
537C22×C4C2×C22⋊D6111yescharacteristic
538C22×C4C2×C22⋊D6111yescharacteristic
539C22×C4C2×C22⋊D6111yescharacteristic
540C22×C4C2×C22⋊D6111yescharacteristic
541C22×C4C2×C22⋊D6111yescharacteristic
542C22×C4C23×D6111yescharacteristic
543Q16—1228no—
544Q16—2444no—
545M16—2444no—
546C2×C8—612no—
547C2×C8—612no—
548C2×C8—612no—
549C2×C8—1221no—
550C2×C8—1221no—
551C2×C8—1221no—
552C2×C8—1221no—
553C2×C8—1221no—
554C2×C8—1221no—
555C2×C8—1221no—
556C2×C8—1221no—
557C2×C8—1221no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—612no—
565C4⋊C4—612no—
566C4⋊C4—1221no—
567C4⋊C4—1221no—
568C4⋊C4—1224no—
569C4⋊C4—1221no—
570C4⋊C4—1221no—
571C4⋊C4—2442no—
572C4⋊C4—2442no—
573C22⋊C4—22no—
574C22⋊C4—41no—
575C22⋊C4—42no—
576C22⋊C4—1224no—
577C22⋊C4—2442no—
578C42—21no—
579C42—21no—
580C42—21no—
581C42—21no—
582C42—42no—
583C42—42no—
584C42—2442no—
585C42—2442no—
586C42—2442no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23C4×C22⋊D6112yes—
594C23C22×C22⋊D6111yescharacteristic
595Q8—22no—
596Q8—22no—
597Q8—22no—
598Q8—22no—
599Q8—22no—
600Q8—48no—
601Q8—41no—
602Q8—41no—
603Q8—1222no—
604Q8—1222no—
605Q8—2441no—
606Q8—2441no—
607Q8#1451973714yes—
608C2×C4—22no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—21no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
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—21no—
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—1222no—
639C2×C4—1222no—
640C2×C4—1222no—
641C2×C4—2441no—
642C2×C4—2441no—
643C2×C4—2441no—
644C2×C4—2441no—
645C2×C4—2441no—
646C2×C4—2441no—
647C2×C4—2441no—
648C2×C4—2441no—
649C2×C4—2441no—
650C2×C4C4×C22⋊D6112yes—
651C2×C4#1451980812yes—
652C2×C4C22×C4×D6111yescharacteristic
653C2×C4C2×D4×D6111yescharacteristic
654C2×C4C2×#1175822411yescharacteristic
655C2×C4C2×#1175822211yescharacteristic
656C2×C4#1451982211yescharacteristic
657C2×C4#1451982211yescharacteristic
658C8—1222no—
659C8—1222no—
660C8—1222no—
661C8—2441no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22C2×C4×C22⋊D6111yescharacteristic
670C22D4×C22⋊D6111yescharacteristic
671C22#1684040611yescharacteristic
672C22C2×#1451980811yescharacteristic
673C22#1684056011yescharacteristic
674C22#1684057711yescharacteristic
675C22#1684057711yescharacteristic
676C4—22no—
677C4—24no—
678C4—22no—
679C4—41no—
680C4—41no—
681C4—42no—
682C4—41no—
683C4—81no—
684C4—81no—
685C4—4881no—
686C4—2442no—
687C4—2442no—
688C4—2442no—
689C4C2×#1451973711yescharacteristic
690C4#1684023511yescharacteristic
691C4#1684040211yescharacteristic
692C4#1684043811yescharacteristic
693C2—42no—
694C2#2144879811yescharacteristic
695C2C4×#1451980811yescharacteristic
696C2#2145468511yescharacteristic
697C2#2145746511yescharacteristic
698C2#2145747211yescharacteristic
699C2#2145787011yescharacteristic
700C2#2145788511yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingQ8×C22⋊C4×C61C2
socleC23×C61C22×D4
prime radicalC24×C61C2×D4
cosocleC22×C4×C61C24
hypercenterQ8×C22⋊C4D61
hypocenterC61#22869
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ Q8×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×#16839867C2semidirect
5. #21446679C2semidirect
6. #21446512C2semidirect
7. #21446450C2semidirect
9. #21446163C2semidirect
10. #21446160C2semidirect
11. #21446073C2semidirect
13. C4×#14519701C2semidirect
22. #16839918C4semidirect
412. C61#22869semidirect

Maximal subgroups

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

subgroupindex
C2×#168399182
C2×#168398672
C2×#168397712
#214488442
#214466792
#214465122
#214464502
#214462502
#214461632
#214461602
#214460732
#214460162
C4×#145197012
#214456032
Q8×C22⋊C4×C612
#2286961