Finite Group Databasebeta

← #29698232

Subgroups — #29698232

Order 15616.

978 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839840C211yesmaximal, characteristic
2C2×#16839805C211yesmaximal, characteristic, complemented
3C2×#16839802C211yesmaximal, characteristic, complemented
4#21448748C211yesmaximal, characteristic
5#21446587C211yesmaximal, characteristic, complemented
6#21446585C211yesmaximal, characteristic, complemented
7#21446018C211yesmaximal, characteristic, complemented
8#21446016C211yesmaximal, characteristic, complemented
9#21446007C211yesmaximal, characteristic, complemented
10#21446006C211yesmaximal, characteristic, complemented
11#21445981C211yesmaximal, characteristic, complemented
12#21445850C211yesmaximal, characteristic, complemented
13#21445850C211yesmaximal, characteristic, complemented
14C4×#14519710C211yesmaximal, characteristic, complemented
15C61×#2352C211yesmaximal, characteristic
16C22×#11758194C2211yescharacteristic
17C22×#11758194C2211yescharacteristic
18C2×#14519736C2211yescharacteristic
19C22×C4⋊Dic61C2211yescharacteristic
20#16839840C418yescomplemented
21#16839805—24no—
22#16839802—24no—
23C2×#14519710C2211yescharacteristic
24C2×#14519710C2211yescharacteristic
25C2×#14519710C2211yescharacteristic
26C2×#14519710C2211yescharacteristic
27C2×#14519710C2211yescharacteristic
28C2×#14519710C2211yescharacteristic
29C2×#14519708C2211yescharacteristic
30C2×#14519708C2211yescharacteristic
31C2×#14519708C2211yescharacteristic
32C2×#14519708C2211yescharacteristic
33C2×C4⋊#92418C2211yescharacteristic
34C2×C22⋊#92418C2211yescharacteristic
35C2×C22⋊#92418C2211yescharacteristic
36C2×C4×#92418C2211yescharacteristic
37#16839655—21no—
38#16839648—21no—
39#16839642—21no—
40#16839628C2211yescharacteristic
41#16839622C2211yescharacteristic
42#16839622C2211yescharacteristic
43C4×C4⋊Dic61C2211yescharacteristic
44C22⋊C4×Dic61—21no—
45#16839524C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839524C2211yescharacteristic
49#16839524C2211yescharacteristic
50#16839524C2211yescharacteristic
51C2×C4×D4×C61C2211yescharacteristic
52C2×#117×C61C2211yescharacteristic
53C22×C4⋊C4×C61C2211yescharacteristic
54C61×#388—21no—
55C61×#387—21no—
56C61×#386—21no—
57C61×#382C2211yescharacteristic
58C61×#380C2211yescharacteristic
59C61×#380C2211yescharacteristic
60C4×C4⋊C4×C61C2211yescharacteristic
61C4×C22⋊C4×C61—21no—
62C23×Dic61—21no—
63C2×#11758194—22no—
64C2×#11758194—22no—
65C2×#11758194—22no—
66C2×#11758194—22no—
67C2×#11758194C2×C414yescomplemented
68C2×#11758194C2×C414yescomplemented
69C22×#92418C2311yescharacteristic
70C22×#92418C2311yescharacteristic
71C22×#92418C2311yescharacteristic
72C22×#92418C2311yescharacteristic
73#14519736—22no—
74#14519736—41no—
75C2×C4⋊Dic61—22no—
76C2×C4⋊Dic61—21no—
77C2×C4⋊Dic61—41no—
78C2×C4⋊Dic61C2311yescharacteristic
79C2×C4⋊Dic61C2311yescharacteristic
80C2×C4⋊Dic61C2311yescharacteristic
81C2×C4⋊Dic61C2311yescharacteristic
82C2×C22⋊Dic61—21no—
83C2×C22⋊Dic61—21no—
84C2×C22⋊Dic61—21no—
85C2×C4×Dic61—21no—
86C2×C4×Dic61—21no—
87#14519710—22no—
88#14519710—22no—
89#14519710—22no—
90#14519710—41no—
91#14519710—41no—
92#14519710D414yescomplemented
93#14519708—22no—
94#14519708—22no—
95#14519708—22no—
96#14519708—22no—
97C4⋊#92418C2×C414yescomplemented
98C22⋊#92418C2×C414yescomplemented
99C22⋊#92418C2×C414yescomplemented
100C4×#92418C2×C414yescomplemented
101#14519684—21no—
102#14519684—21no—
103#14519684—21no—
104#14519684—21no—
105#14519684—21no—
106C22×D4×C61D411yescharacteristic
107C23×C4×C61—21no—
108C23×C4×C61C2311yescharacteristic
109C23×C4×C61C2311yescharacteristic
110C4×D4×C61C2×C414yes—
111C4×D4×C61Q814yes—
112#117×C61—22no—
113#117×C61—41no—
114C2×C4⋊C4×C61—22no—
115C2×C4⋊C4×C61—21no—
116C2×C4⋊C4×C61—41no—
117C2×C4⋊C4×C61D411yescharacteristic
118C2×C4⋊C4×C61C2311yescharacteristic
119C2×C4⋊C4×C61C2311yescharacteristic
120C2×C4⋊C4×C61C2311yescharacteristic
121C2×C4⋊C4×C61C2311yescharacteristic
122C2×C22⋊C4×C61—21no—
123C2×C22⋊C4×C61—21no—
124C2×C22⋊C4×C61—21no—
125C2×C22⋊C4×C61D411yescharacteristic
126C2×C22⋊C4×C61D411yescharacteristic
127C2×C42×C61—21no—
128C2×C42×C61—21no—
129C2×C42×C61C2311yescharacteristic
130#95×C61—21no—
131#95×C61—21no—
132#95×C61—21no—
133#95×C61—21no—
134#95×C61—21no—
135C24×C61C2×D411yescharacteristic
136C24×C61C2×D411yescharacteristic
137C2×D4×C61—41no—
138C2×D4×C61—41no—
139C2×D4×C61C4⋊C414yes—
140C22×C4×C61—21no—
141C22×C4×C61—21no—
142C22×C4×C61—21no—
143C22×C4×C61—21no—
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61—21no—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61—42no—
153C22×C4×C61—42no—
154C22×C4×C61—81no—
155C22×C4×C61C22×C412yes—
156C22×C4×C61C22×C412yes—
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2×D411yescharacteristic
161C22×C4×C61C2×Q812yes—
162C22×C4×C61C2×Q812yes—
163C22×C4×C61C2411yescharacteristic
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61—21no—
168C22×Dic61—42no—
169C22×Dic61—42no—
170C22×Dic61—81no—
171C4⋊C4×C61—21no—
172C4⋊C4×C61—21no—
173C4⋊C4×C61—21no—
174C4⋊C4×C61—21no—
175C4⋊C4×C61—21no—
176C4⋊C4×C61—21no—
177C4⋊C4×C61—21no—
178C4⋊C4×C61—42no—
179C4⋊C4×C61C4⋊C414yes—
180C4⋊C4×C61C2×D412yes—
181C22⋊C4×C61—42no—
182C22⋊C4×C61—42no—
183C22⋊C4×C61—81no—
184C22⋊C4×C61C4⋊C414yes—
185C22⋊C4×C61C4⋊C414yes—
186C42×C61—42no—
187C42×C61—81no—
188C42×C61C22×C412yes—
189C42×C61C2×Q812yes—
190C22⋊Dic61—42no—
191C22⋊Dic61—42no—
192C22⋊Dic61—81no—
193C4⋊Dic61—21no—
194C4⋊Dic61—21no—
195C4⋊Dic61—21no—
196C4⋊Dic61—21no—
197C4⋊Dic61—21no—
198C4⋊Dic61—21no—
199C4⋊Dic61—21no—
200C4⋊Dic61—42no—
201C4⋊Dic61C2×D412yes—
202C4×Dic61—42no—
203C4×Dic61—81no—
204#11758194—28no—
205#11758194—28no—
206C2×#92418—21no—
207C2×#92418—21no—
208C2×#92418—21no—
209C2×#92418—21no—
210C2×#92418—21no—
211C2×#92418—21no—
212C2×#92418C22×C412yes—
213C2×#92418C22×C412yes—
214C2×#92418C22×C412yes—
215C2×#92418C22×C412yes—
216C2×#92418C2×D412yes—
217C2×#92418#4112yes—
218C23×C61—21no—
219C23×C61—21no—
220C23×C61—21no—
221C23×C61—21no—
222C23×C61—21no—
223C23×C61—21no—
224C23×C61—21no—
225C23×C61—21no—
226C23×C61—21no—
227C23×C61—21no—
228C23×C61—21no—
229C23×C61—21no—
230C23×C61C2×C4⋊C412yes—
231C23×C61C2×C4⋊C412yes—
232C23×C61C22×D411yescharacteristic
233D4×C61—44no—
234C2×C4×C61—21no—
235C2×C4×C61—21no—
236C2×C4×C61—21no—
237C2×C4×C61—21no—
238C2×C4×C61—21no—
239C2×C4×C61—21no—
240C2×C4×C61—21no—
241C2×C4×C61—21no—
242C2×C4×C61—22no—
243C2×C4×C61—22no—
244C2×C4×C61—22no—
245C2×C4×C61—22no—
246C2×C4×C61—22no—
247C2×C4×C61—22no—
248C2×C4×C61—22no—
249C2×C4×C61—22no—
250C2×C4×C61—22no—
251C2×C4×C61—41no—
252C2×C4×C61—41no—
253C2×C4×C61—41no—
254C2×C4×C61—41no—
255C2×C4×C61—41no—
256C2×C4×C61—41no—
257C2×C4×C61—41no—
258C2×C4×C61—41no—
259C2×C4×C61—41no—
260C2×C4×C61—41no—
261C2×C4×C61—41no—
262C2×C4×C61—84no—
263C2×C4×C61C2×C4⋊C412yes—
264C2×C4×C61C2×C4⋊C412yes—
265C2×C4×C61C2×C4⋊C412yes—
266C2×C4×C61C2×C4⋊C412yes—
267C2×C4×C61C23×C411yescharacteristic
268C2×C4×C61C22×D411yescharacteristic
269C2×C4×C61C22×Q811yescharacteristic
270C2×C4×C61C2×#4111yescharacteristic
271C2×C4×C61H(5,𝔽2)11yescharacteristic
272C2×C4×C612−1+411yescharacteristic
273C2×Dic61—22no—
274C2×Dic61—41no—
275C2×Dic61—41no—
276C2×Dic61—41no—
277C2×Dic61—41no—
278C2×Dic61—41no—
279C2×Dic61—41no—
280C2×Dic61—41no—
281C2×Dic61—41no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—84no—
286#92418—22no—
287#92418—22no—
288#92418—22no—
289#92418C4×D414yes—
290#22664—611nomaximal, Sylow
291C22×C61—22no—
292C22×C61—22no—
293C22×C61—22no—
294C22×C61—22no—
295C22×C61—22no—
296C22×C61—22no—
297C22×C61—41no—
298C22×C61—41no—
299C22×C61—41no—
300C22×C61—41no—
301C22×C61—41no—
302C22×C61—41no—
303C22×C61—41no—
304C22×C61—41no—
305C22×C61C22×C4⋊C411yescharacteristic
306C22×C61D4211yescharacteristic
307C22×C61#54711yescharacteristic
308C22×C61#57511yescharacteristic
309C22×C61#57511yescharacteristic
310C22×C61#57611yescharacteristic
311C22×C61#57811yescharacteristic
312C4×C61—22no—
313C4×C61—22no—
314C4×C61—22no—
315C4×C61—22no—
316C4×C61—42no—
317C4×C61—81no—
318C4×C61—81no—
319C4×C61—81no—
320C4×C61C2×C4×D411yescharacteristic
321C4×C61#52011yescharacteristic
322C4×C61D4×Q811yescharacteristic
323C4×C61#55411yescharacteristic
324Dic61—42no—
325Dic61—81no—
326Dic61—81no—
327Dic61—81no—
328C2×#436—611no—
329C2×#428—611no—
330C2×#428—611no—
331#2352—611no—
332#2352D6111yescharacteristic
333#1949—611no—
334#1949—611no—
335#1854—611no—
336#1854—611no—
337#1852—611no—
338#1852—611no—
339#1846—611no—
340#1809—611no—
341#1809—611no—
342C4×#107—611no—
343C2×C61—42no—
344C2×C61—42no—
345C2×C61D4×C4⋊C411yescharacteristic
346C2×C61#291111yescharacteristic
347C2×C61#291311yescharacteristic
348C2×C61#327311yescharacteristic
349C2×C61#327711yescharacteristic
350C2×C61#335211yescharacteristic
351C2×C61#335511yescharacteristic
352C22×M16—611no—
353C22×M16—611no—
354C2×C4×D4C2×D6111yescharacteristic
355C2×#117—611no—
356C2×#117C2×D6111yescharacteristic
357C22×C4⋊C4—611no—
358C22×C4⋊C4C2×D6111yescharacteristic
359#436—618no—
360#428—1224no—
361#428—1224no—
362C2×#107—611no—
363C2×#107—611no—
364C2×#107—611no—
365C2×#107—611no—
366C2×#107—611no—
367C2×#107—611no—
368C2×#106—611no—
369C2×#106—611no—
370C2×#106—611no—
371C2×#106—611no—
372C2×C4⋊C8—611no—
373C2×C22⋊C8—611no—
374C2×C22⋊C8—611no—
375C2×C4×C8—611no—
376#388—21no—
377#388—1221no—
378#387—21no—
379#387—1221no—
380#386—21no—
381#386—1221no—
382#382—611no—
383#382C2×D6111yescharacteristic
384#380—611no—
385#380—611no—
386#380C2×D6111yescharacteristic
387#380C2×D6111yescharacteristic
388C4×C4⋊C4—611no—
389C4×C4⋊C4C2×D6111yescharacteristic
390C4×C22⋊C4—21no—
391C4×C22⋊C4—1221no—
392#340—611no—
393#340—611no—
394#340—611no—
395#340—611no—
396#340—611no—
397#340—611no—
398C61#2266411yescharacteristic, complemented, Sylow
399C22×D4C22⋊D6111yescharacteristic
400C23×C4—21no—
401C23×C4—1221no—
402C23×C4C22×D6111yescharacteristic
403C23×C4C22×D6111yescharacteristic
404C2×M16—614no—
405C2×M16—614no—
406C2×M16—1222no—
407C2×M16—1222no—
408C2×M16—1222no—
409C2×M16—1222no—
410C22×C8—611no—
411C22×C8—611no—
412C22×C8—611no—
413C22×C8—611no—
414C4×D4Dic12214yes—
415C4×D4C4×D6114yes—
416#117—22no—
417#117—41no—
418#117—1222no—
419#117—2441no—
420C2×C4⋊C4—22no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—41no—
423C2×C4⋊C4—611no—
424C2×C4⋊C4—611no—
425C2×C4⋊C4—611no—
426C2×C4⋊C4—611no—
427C2×C4⋊C4—1222no—
428C2×C4⋊C4—1221no—
429C2×C4⋊C4—2441no—
430C2×C4⋊C4C22⋊D6111yescharacteristic
431C2×C4⋊C4C22×D6111yescharacteristic
432C2×C4⋊C4C22×D6111yescharacteristic
433C2×C4⋊C4C22×D6111yescharacteristic
434C2×C4⋊C4C22×D6111yescharacteristic
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—1221no—
439C2×C22⋊C4—1221no—
440C2×C22⋊C4—1221no—
441C2×C22⋊C4C22⋊D6111yescharacteristic
442C2×C22⋊C4C22⋊D6111yescharacteristic
443C2×C42—21no—
444C2×C42—21no—
445C2×C42—1221no—
446C2×C42—1221no—
447C2×C42C22×D6111yescharacteristic
448#107—614no—
449#107—1222no—
450#107—1222no—
451#107—1222no—
452#107—2441no—
453#107—2441no—
454#106—1222no—
455#106—1222no—
456#106—1222no—
457#106—1222no—
458C4⋊C8—614no—
459C22⋊C8—614no—
460C22⋊C8—614no—
461C4×C8—614no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—1221no—
468#95—1221no—
469#95—1221no—
470#95—1221no—
471#95—1221no—
472C24C2×C22⋊D6111yescharacteristic
473C24C2×C22⋊D6111yescharacteristic
474C2×D4—41no—
475C2×D4—41no—
476C2×D4#1175819614yes—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—81no—
492C22×C4—1221no—
493C22×C4—1221no—
494C22×C4—1221no—
495C22×C4—1221no—
496C22×C4—4881no—
497C22×C4—2442no—
498C22×C4—2442no—
499C22×C4C2×Dic12212yes—
500C22×C4C2×Dic12212yes—
501C22×C4C2×C4×D6112yes—
502C22×C4C2×C4×D6112yes—
503C22×C4C2×C22⋊D6111yescharacteristic
504C22×C4C2×C22⋊D6111yescharacteristic
505C22×C4C2×C22⋊D6111yescharacteristic
506C22×C4C2×C22⋊D6111yescharacteristic
507C22×C4C23×D6111yescharacteristic
508M16—1228no—
509M16—1228no—
510C2×C8—612no—
511C2×C8—612no—
512C2×C8—612no—
513C2×C8—612no—
514C2×C8—612no—
515C2×C8—612no—
516C2×C8—1221no—
517C2×C8—1221no—
518C2×C8—1221no—
519C2×C8—1221no—
520C2×C8—1221no—
521C2×C8—1221no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—42no—
530C4⋊C4—612no—
531C4⋊C4—1221no—
532C4⋊C4—1221no—
533C4⋊C4—1221no—
534C4⋊C4—1221no—
535C4⋊C4—1221no—
536C4⋊C4—1221no—
537C4⋊C4—1221no—
538C4⋊C4—2442no—
539C4⋊C4#1175819614yes—
540C4⋊C4D4×D6112yes—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—81no—
544C22⋊C4—4881no—
545C22⋊C4—2442no—
546C22⋊C4—2442no—
547C22⋊C4#1175819614yes—
548C22⋊C4#1175819614yes—
549C42—42no—
550C42—81no—
551C42—4881no—
552C42—2442no—
553C42C2×Dic12212yes—
554C42C2×C4×D6112yes—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—21no—
567C23C2×#1175819612yes—
568C23C2×#1175819612yes—
569C23C22×C22⋊D6111yescharacteristic
570D4—44no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—84no—
600C2×C4—1222no—
601C2×C4—4884no—
602C2×C4—2441no—
603C2×C4—2441no—
604C2×C4—2441no—
605C2×C4—2441no—
606C2×C4—2441no—
607C2×C4—2441no—
608C2×C4—2441no—
609C2×C4—2441no—
610C2×C4—2441no—
611C2×C4—2441no—
612C2×C4—2441no—
613C2×C4C2×#1175819612yes—
614C2×C4C2×#1175819612yes—
615C2×C4C2×#1175819612yes—
616C2×C4C2×#1175819612yes—
617C2×C4C22×C4×D6111yescharacteristic
618C2×C4C2×D4×D6111yescharacteristic
619C2×C4C22×Dic12211yescharacteristic
620C2×C4#41×D6111yescharacteristic
621C2×C4#1451982211yescharacteristic
622C2×C4#1451982411yescharacteristic
623C8—614no—
624C8—1222no—
625C8—1222no—
626C8—1222no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22C22×#1175819611yescharacteristic
642C22D4×C22⋊D6111yescharacteristic
643C22#1684041111yescharacteristic
644C22#1684056011yescharacteristic
645C22#1684056011yescharacteristic
646C22#1684056511yescharacteristic
647C22#1684057711yescharacteristic
648C4—22no—
649C4—22no—
650C4—22no—
651C4—22no—
652C4—42no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4—4881no—
657C4—4881no—
658C4—4881no—
659C4—2442no—
660C4C4×D4×D6111yescharacteristic
661C4#1684024111yescharacteristic
662C4D4×Dic12211yescharacteristic
663C4#1684047111yescharacteristic
664C2—42no—
665C2—42no—
666C2D4×#1175819611yescharacteristic
667C2#2145440811yescharacteristic
668C2#2145441711yescharacteristic
669C2#2145742611yescharacteristic
670C2#2145747211yescharacteristic
671C2#2145838811yescharacteristic
672C2#2145841911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#2352C2
socleC23×C61C22×D4
prime radicalC22×D4×C61D4
cosocleC22×C4×C61C24
hypercenter#2352D61
hypocenterC61#22664
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2352

Complements

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

NH ≅ G/Ntype
2. C2×#16839805C2semidirect
3. C2×#16839802C2semidirect
5. #21446587C2semidirect
6. #21446585C2semidirect
7. #21446018C2semidirect
8. #21446016C2semidirect
9. #21446007C2semidirect
10. #21446006C2semidirect
11. #21445981C2semidirect
12. #21445850C2semidirect
13. #21445850C2semidirect
14. C4×#14519710C2semidirect
20. #16839840C4semidirect
67. C2×#11758194C2×C4semidirect
68. C2×#11758194C2×C4semidirect
92. #14519710D4semidirect
97. C4⋊#92418C2×C4semidirect
98. C22⋊#92418C2×C4semidirect
99. C22⋊#92418C2×C4semidirect
100. C4×#92418C2×C4semidirect
398. C61#22664semidirect

Maximal subgroups

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

subgroupindex
C2×#168398402
C2×#168398052
C2×#168398022
#214487482
#214465872
#214465852
#214460182
#214460162
#214460072
#214460062
#214459812
#214458502
C4×#145197102
C61×#23522
#2266461