Finite Group Databasebeta

← #29685289

Subgroups — #29685289

Order 15616.

1134 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840381C211yesmaximal, characteristic
2C2×#16839719C211yesmaximal, characteristic, complemented
3#21448427C211yesmaximal, characteristic, complemented
4#21446792C211yesmaximal, characteristic, complemented
5#21446779C211yesmaximal, characteristic, complemented
6#21446631C211yesmaximal, characteristic, complemented
7#21446254C211yesmaximal, characteristic
8#21446249C211yesmaximal, characteristic, complemented
9#21446244C211yesmaximal, characteristic
10#21446239C211yesmaximal, characteristic, complemented
11#21445651C211yesmaximal, characteristic, complemented
12#21445646C211yesmaximal, characteristic, complemented
13#103×Dic61C211yesmaximal, characteristic, complemented
14#102×Dic61C211yesmaximal, characteristic, complemented
15C61×#1959C211yesmaximal, characteristic, complemented
16C22×#11758189C2211yescharacteristic
17C22×C8×D61C2211yescharacteristic
18#16840381—24no—
19#16840381C418yescomplemented
20C2×#14519777C2211yescharacteristic
21C2×#14519770—21no—
22C2×#14519763—21no—
23C2×#14519761—21no—
24C2×#14519754—21no—
25C2×#14519753C2211yescharacteristic
26C2×#14519748C2211yescharacteristic
27C2×Q8×Dic61C2211yescharacteristic
28C2×D4×Dic61C2211yescharacteristic
29C2×#14519734C2211yescharacteristic
30C2×#14519701C2211yescharacteristic
31C2×#14519701C2211yescharacteristic
32C2×#14519698C2211yescharacteristic
33C2×#14519698C2211yescharacteristic
34#16839719—24no—
35C2×#14519687C2211yescharacteristic
36C2×C4×#92418C2211yescharacteristic
37C2×C8×Dic61C2211yescharacteristic
38#16839652—21no—
39#16839652—21no—
40#16839643—21no—
41#16839643—21no—
42#16839628C2211yescharacteristic
43#16839619C2211yescharacteristic
44#16839619C2211yescharacteristic
45C4⋊C4×Dic61C2211yescharacteristic
46C4⋊C4×Dic61C2211yescharacteristic
47#16839525C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839525C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54#16839524C2211yescharacteristic
55C2×#124×C61C2211yescharacteristic
56C2×#103×C61C2211yescharacteristic
57C2×#103×C61C2211yescharacteristic
58C2×#102×C61C2211yescharacteristic
59C2×#102×C61C2211yescharacteristic
60C2×#97×C61C2211yescharacteristic
61C61×#384C2211yescharacteristic
62C22×Dic122—21no—
63C22×C22⋊D61—21no—
64C23×Dic61—21no—
65C22×C4×D61C2311yescharacteristic
66C2×#11758189—22no—
67C2×#11758189—22no—
68C2×#11758189—22no—
69C22×#92418C2311yescharacteristic
70C22×#92418C2311yescharacteristic
71C2×C8×D61—22no—
72C2×C8×D61—22no—
73C2×C8×D61—22no—
74#14519777—22no—
75#14519777C2×C414yes—
76#14519770—28no—
77#14519763—28no—
78#14519761—28no—
79#14519754—28no—
80#14519753—22no—
81#14519753C2×C414yes—
82#14519748—22no—
83#14519748C2×C414yes—
84Q8×Dic61—22no—
85Q8×Dic61C2×C414yes—
86D4×Dic61—22no—
87D4×Dic61C2×C414yes—
88#14519734C2×C414yes—
89#14519734D414yes—
90C2×C4⋊Dic61—21no—
91C2×C4⋊Dic61—21no—
92C2×C4⋊Dic61C2311yescharacteristic
93C2×C4⋊Dic61C2311yescharacteristic
94C2×C4⋊Dic61C2311yescharacteristic
95C2×C4⋊Dic61C2311yescharacteristic
96C2×#11758196—21no—
97C2×#11758196D411yescharacteristic
98C2×#11758196D411yescharacteristic
99C2×C22⋊Dic61—21no—
100C2×C22⋊Dic61—21no—
101C2×#11758198—21no—
102C2×#11758198—21no—
103C2×#11758198—21no—
104C2×#11758198D411yescharacteristic
105C2×#11758198D411yescharacteristic
106C2×C4×Dic61—21no—
107C2×C4×Dic61—21no—
108C2×C4×Dic61—21no—
109C2×C4×Dic61C2311yescharacteristic
110#14519701—22no—
111#14519701—22no—
112#14519698—22no—
113#14519698—22no—
114#14519687—22no—
115C4×#92418—22no—
116C8×Dic61—22no—
117#14519684—21no—
118#14519684—21no—
119#14519684—21no—
120#14519684—21no—
121#14519684—21no—
122#14519684—21no—
123C22×Q8×C61C2311yescharacteristic
124C22×D4×C61C2311yescharacteristic
125C22×C8×C61C2311yescharacteristic
126C22×C8×C61C2311yescharacteristic
127#124×C61—22no—
128#124×C61C2×C414yes—
129C2×C4⋊C4×C61—21no—
130C2×C4⋊C4×C61—21no—
131C2×C4⋊C4×C61C2311yescharacteristic
132C2×C4⋊C4×C61C2311yescharacteristic
133C2×C22⋊C4×C61—21no—
134C2×C22⋊C4×C61—21no—
135C2×C42×C61C2311yescharacteristic
136#103×C61—22no—
137#103×C61—22no—
138#102×C61—22no—
139#102×C61—22no—
140#97×C61—22no—
141C24×C61—21no—
142C23×D61C2×D411yescharacteristic
143C2×Q8×C61—21no—
144C2×Q8×C61—21no—
145C2×Q8×C61—21no—
146C2×Q8×C61—21no—
147C2×Q8×C61—21no—
148C2×Q8×C61C22×C412yes—
149C2×D4×C61—21no—
150C2×D4×C61—21no—
151C2×D4×C61—21no—
152C2×D4×C61—21no—
153C2×D4×C61—21no—
154C2×D4×C61C22×C412yes—
155C22×C4×C61—21no—
156C22×C4×C61—21no—
157C22×C4×C61—21no—
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2411yescharacteristic
161C2×C22⋊D61—24no—
162C2×C22⋊D61—81no—
163C2×C22⋊D61—81no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—24no—
167C22×Dic61—21no—
168C22×Dic61—21no—
169C22×Dic61—81no—
170C22×Dic61—81no—
171C22×Dic61C2×D411yescharacteristic
172C22×Dic61C2×D411yescharacteristic
173C22×Dic61C2×D411yescharacteristic
174C2×C4×D61—21no—
175C2×C4×D61—21no—
176C2×C4×D61—21no—
177C2×C4×D61—21no—
178C2×C4×D61C22×C412yes—
179C2×C4×D61C2×D412yes—
180C2×Dic122—24no—
181C2×Dic122—81no—
182C2×Dic122—81no—
183C2×C8×C61—21no—
184C2×C8×C61—21no—
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61#4112yes—
188C2×C8×C61#4112yes—
189C4⋊C4×C61—21no—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—81no—
194C4⋊C4×C61—81no—
195C22⋊C4×C61—24no—
196C22⋊C4×C61—24no—
197C42×C61C22×C412yes—
198C42×C61C2×D412yes—
199C22⋊Dic61—24no—
200C22⋊Dic61—24no—
201#11758198—24no—
202#11758198—81no—
203#11758198—81no—
204#11758198C22⋊C414yes—
205#11758198C22⋊C414yes—
206C4⋊Dic61—24no—
207C4⋊Dic61—21no—
208C4⋊Dic61—21no—
209C4⋊Dic61—24no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61C22×C412yes—
215C4⋊Dic61C22×C412yes—
216#11758196—24no—
217#11758196C22⋊C414yes—
218#11758196C22⋊C414yes—
219C4×Dic61—24no—
220C4×Dic61—81no—
221C4×Dic61—81no—
222C4×Dic61C22×C412yes—
223C4×Dic61C2×D412yes—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418#4112yes—
229C2×#92418#4112yes—
230#11758189—28no—
231C8×D61—28no—
232C23×C61—22no—
233C23×C61—41no—
234C23×C61—41no—
235C23×C61—41no—
236C23×C61—41no—
237C23×C61—41no—
238C23×C61—41no—
239C23×C61C22×D411yescharacteristic
240C22×D61—21no—
241C22×D61—21no—
242C22×D61—21no—
243C22×D61—21no—
244C22×D61—21no—
245C22×D61—21no—
246C22×D61C2×C22⋊C412yes—
247Q8×C61—22no—
248Q8×C61—22no—
249Q8×C61—41no—
250Q8×C61—41no—
251D4×C61—22no—
252D4×C61—22no—
253D4×C61—41no—
254D4×C61—41no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—22no—
260C2×C4×C61—41no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61C2×C22⋊C412yes—
269C2×C4×C61C2×C22⋊C412yes—
270C2×C4×C61C23×C411yescharacteristic
271C2×C4×C61C22×D411yescharacteristic
272C2×C4×C61C2×#4111yescharacteristic
273C2×C4×C61C2×#4111yescharacteristic
274C2×C4×C61C2×#4111yescharacteristic
275C2×C4×C61C2×#4111yescharacteristic
276C22⋊D61—84no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—22no—
284C2×Dic61—22no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—84no—
296C2×Dic61C2×C22⋊C412yes—
297C2×Dic61C2×C22⋊C412yes—
298C2×Dic61C2×C22⋊C412yes—
299C4×D61—22no—
300C4×D61—22no—
301C4×D61—22no—
302C4×D61—22no—
303Dic122—84no—
304C8×C61—22no—
305C8×C61—22no—
306#92418—22no—
307#92418—22no—
308#21412—611nomaximal, Sylow
309C22×C61—42no—
310C22×C61—42no—
311C22×C61—42no—
312C22×C61—81no—
313C22×C61—81no—
314C22×C61—81no—
315C22×C61—81no—
316C22×C61C22×C22⋊C411yescharacteristic
317C22×C61#53211yescharacteristic
318C22×C61#53211yescharacteristic
319C22×C61#57611yescharacteristic
320C22×C61#57711yescharacteristic
321C22×C61#57711yescharacteristic
322C22×C61#57811yescharacteristic
323C2×D61—22no—
324C2×D61—22no—
325C2×D61—22no—
326C2×D61—41no—
327C2×D61—41no—
328C2×D61—41no—
329C2×D61—41no—
330C4×C61—22no—
331C4×C61—22no—
332C4×C61—42no—
333C4×C61—81no—
334C4×C61—81no—
335C4×C61C4×#4111yescharacteristic
336C4×C61C4×#4111yescharacteristic
337C4×C61#52511yescharacteristic
338C4×C61#52511yescharacteristic
339Dic61—22no—
340Dic61—22no—
341Dic61—22no—
342Dic61—42no—
343Dic61—42no—
344Dic61—81no—
345Dic61—81no—
346C2×#542—611no—
347C2×#405—611no—
348#2314—611no—
349#1993—611no—
350#1990—611no—
351#1959D6111yescharacteristic, complemented
352#1958—611no—
353#1895—611no—
354#1894—611no—
355#1893—611no—
356#1892—611no—
357#1763—611no—
358#1762—611no—
359C4×#103—611no—
360C4×#102—611no—
361C2×C61—82no—
362C2×C61#229711yescharacteristic
363C2×C61#289711yescharacteristic
364C2×C61#289811yescharacteristic
365C2×C61#317311yescharacteristic
366C2×C61#317511yescharacteristic
367C2×C61#317811yescharacteristic
368C2×C61#317911yescharacteristic
369D61—42no—
370C22×M16—611no—
371C23×C8—611no—
372#542—618no—
373#542—1224no—
374C2×C4⋊Q8—611no—
375C2×#126—1221no—
376C2×#124—1221no—
377C2×#124C2×D6111yescharacteristic
378C2×#123—1221no—
379C2×C22⋊Q8—611no—
380C2×C22⋊Q8—1221no—
381C2×#121—611no—
382C2×C4×Q8—611no—
383C2×C4×D4—611no—
384C2×#117—611no—
385C2×#103—611no—
386C2×#103—611no—
387C2×#103C2×D6111yescharacteristic
388C2×#103C2×D6111yescharacteristic
389C2×#102—611no—
390C2×#102—611no—
391C2×#102C2×D6111yescharacteristic
392C2×#102C2×D6111yescharacteristic
393#405—1224no—
394C2×#97—611no—
395C2×#97C2×D6111yescharacteristic
396C2×C4×C8—611no—
397C2×C4×C8—611no—
398#388—1221no—
399#388—1221no—
400#387—1221no—
401#387—1221no—
402#384C2×D6111yescharacteristic
403#382—611no—
404#380—611no—
405#380—611no—
406C4×C4⋊C4—611no—
407C4×C4⋊C4—611no—
408#340—611no—
409#340—611no—
410#340—611no—
411#340—611no—
412#340—611no—
413#340—611no—
414#340—611no—
415#340—611no—
416C61#2141211yescharacteristic, complemented, Sylow
417C22×Q8—1221no—
418C22×Q8C22×D6111yescharacteristic
419C22×D4—1221no—
420C22×D4C22×D6111yescharacteristic
421C23×C4—611no—
422C23×C4—1221no—
423C2×M16—1222no—
424C2×M16—1222no—
425C2×M16—1222no—
426C22×C8—611no—
427C22×C8—611no—
428C22×C8—1222no—
429C22×C8—1222no—
430C22×C8—1222no—
431C22×C8C22×D6111yescharacteristic
432C22×C8C22×D6111yescharacteristic
433C4⋊Q8—614no—
434C4⋊Q8—1222no—
435#126—1228no—
436#124—22no—
437#124—1228no—
438#124C4×D6114yes—
439#123—1228no—
440C22⋊Q8—614no—
441C22⋊Q8—1228no—
442C22⋊Q8—1222no—
443#121—614no—
444#121—1222no—
445C4×Q8—614no—
446C4×Q8—1222no—
447C4×D4—614no—
448C4×D4—1222no—
449#117—614no—
450#117—614no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—611no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—1221no—
461C2×C4⋊C4—1221no—
462C2×C4⋊C4C22×D6111yescharacteristic
463C2×C4⋊C4C22×D6111yescharacteristic
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—611no—
467C2×C22⋊C4—611no—
468C2×C22⋊C4—1221no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473C2×C42—611no—
474C2×C42—1221no—
475C2×C42—1221no—
476C2×C42—1221no—
477C2×C42C22×D6111yescharacteristic
478#103—22no—
479#103—22no—
480#103—1222no—
481#103—1222no—
482#102—22no—
483#102—22no—
484#102—1222no—
485#102—1222no—
486#97—22no—
487#97—1222no—
488C4×C8—1222no—
489C4×C8—1222no—
490#95—1221no—
491#95—1221no—
492#95—1221no—
493#95—1221no—
494#95—1221no—
495#95—1221no—
496C24—21no—
497C24—611no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—1224no—
504C2×Q8—4881no—
505C2×Q8—4881no—
506C2×Q8C2×C4×D6112yes—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—1224no—
513C2×D4—4881no—
514C2×D4—4881no—
515C2×D4C2×C4×D6112yes—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—611no—
520C22×C4—611no—
521C22×C4—611no—
522C22×C4—612no—
523C22×C4—612no—
524C22×C4—1224no—
525C22×C4—1221no—
526C22×C4—1221no—
527C22×C4—1221no—
528C22×C4—1221no—
529C22×C4—1221no—
530C22×C4—1221no—
531C22×C4—1221no—
532C22×C4—1221no—
533C22×C4—4881no—
534C22×C4—4881no—
535C22×C4D4×D6111yescharacteristic
536C22×C4D4×D6111yescharacteristic
537C22×C4C23×D6111yescharacteristic
538M16—1228no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—612no—
544C2×C8—612no—
545C2×C8—1228no—
546C2×C8—1221no—
547C2×C8—1221no—
548C2×C8—1221no—
549C2×C8—1221no—
550C2×C8#1175822412yes—
551C2×C8#1175822412yes—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—81no—
557C4⋊C4—81no—
558C4⋊C4—614no—
559C4⋊C4—614no—
560C4⋊C4—612no—
561C4⋊C4—612no—
562C4⋊C4—1224no—
563C4⋊C4—1224no—
564C4⋊C4—1221no—
565C4⋊C4—1221no—
566C4⋊C4—1224no—
567C4⋊C4—1221no—
568C4⋊C4—1221no—
569C4⋊C4—1221no—
570C4⋊C4—1221no—
571C22⋊C4—24no—
572C22⋊C4—24no—
573C22⋊C4—614no—
574C22⋊C4—614no—
575C22⋊C4—1224no—
576C22⋊C4—1224no—
577C22⋊C4—1224no—
578C22⋊C4—4881no—
579C22⋊C4—4881no—
580C42—612no—
581C42—612no—
582C42—1224no—
583C42—4881no—
584C42—4881no—
585C42C2×C4×D6112yes—
586C42D4×D6112yes—
587C23—22no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—612no—
595C23—1221no—
596C23—1221no—
597C23—1221no—
598C23—1221no—
599C23—1221no—
600C23—1221no—
601C23C2×D4×D6111yescharacteristic
602Q8—22no—
603Q8—22no—
604Q8—41no—
605Q8—41no—
606Q8—4884no—
607D4—22no—
608D4—22no—
609D4—41no—
610D4—41no—
611D4—4884no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—22no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—612no—
626C2×C4—612no—
627C2×C4—612no—
628C2×C4—1221no—
629C2×C4—1221no—
630C2×C4—1221no—
631C2×C4—1221no—
632C2×C4—1221no—
633C2×C4—1221no—
634C2×C4—1222no—
635C2×C4—1222no—
636C2×C4—1222no—
637C2×C4—1222no—
638C2×C4—1222no—
639C2×C4—1222no—
640C2×C4—4884no—
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×C4—2441no—
651C2×C4C22⋊C4×D6112yes—
652C2×C4C22⋊C4×D6112yes—
653C2×C4C22×C4×D6111yescharacteristic
654C2×C4C2×D4×D6111yescharacteristic
655C2×C4#41×D6111yescharacteristic
656C2×C4#41×D6111yescharacteristic
657C2×C4C2×#1175822411yescharacteristic
658C2×C4C2×#1175822411yescharacteristic
659C8—22no—
660C8—22no—
661C8—1222no—
662C8—1222no—
663C22—42no—
664C22—42no—
665C22—42no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22—81no—
670C22—1222no—
671C22—1222no—
672C22—1222no—
673C22—2441no—
674C22—2441no—
675C22—2441no—
676C22—2441no—
677C22C2×C22⋊C4×D6111yescharacteristic
678C22#1684031011yescharacteristic
679C22#1684031111yescharacteristic
680C22#1684056611yescharacteristic
681C22#1684057111yescharacteristic
682C22#1684057211yescharacteristic
683C22#1684057811yescharacteristic
684C4—22no—
685C4—22no—
686C4—42no—
687C4—81no—
688C4—81no—
689C4—1222no—
690C4—1222no—
691C4—1222no—
692C4—4881no—
693C4—4881no—
694C4—2442no—
695C4—2442no—
696C4C4×#1175822411yescharacteristic
697C4C4×#1175822411yescharacteristic
698C4#1684027211yescharacteristic
699C4#1684027211yescharacteristic
700C2—82no—
701C2—2442no—
702C2#2144830611yescharacteristic
703C2#2145434311yescharacteristic
704C2#2145435011yescharacteristic
705C2#2145643511yescharacteristic
706C2#2145645711yescharacteristic
707C2#2145648411yescharacteristic
708C2#2145649911yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1959C2
socleC23×C61C22×D4
prime radicalC2×#14519748C22
cosocleC22×C4×C61C24
hypercenter#1959D61
hypocenterC61#21412
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1959

Complements

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

NH ≅ G/Ntype
2. C2×#16839719C2semidirect
3. #21448427C2semidirect
4. #21446792C2semidirect
5. #21446779C2semidirect
6. #21446631C2semidirect
8. #21446249C2semidirect
10. #21446239C2semidirect
11. #21445651C2semidirect
12. #21445646C2semidirect
13. #103×Dic61C2semidirect
14. #102×Dic61C2semidirect
15. C61×#1959C2semidirect
19. #16840381C4semidirect
351. #1959D61semidirect
416. C61#21412semidirect

Maximal subgroups

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

subgroupindex
C2×#168403812
C2×#168397192
#214484272
#214467922
#214467792
#214466312
#214462542
#214462492
#214462442
#214462392
#214456512
#214456462
#103×Dic612
#102×Dic612
C61×#19592
#2141261