Finite Group Databasebeta

← #29740590

Subgroups — #29740590

Order 15616.

944 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21449253C211yesmaximal, characteristic
2C4⋊C4×C22⋊D61C211yesmaximal, characteristic, complemented
3#21447380C211yesmaximal, characteristic, complemented
4#21447246C211yesmaximal, characteristic, complemented
5#21447226C211yesmaximal, characteristic, complemented
6#21447004C211yesmaximal, characteristic, complemented
7#21446437C211yesmaximal, characteristic, complemented
8#21446393C211yesmaximal, characteristic, complemented
9#21446247C211yesmaximal, characteristic, complemented
10#21446136C211yesmaximal, characteristic, complemented
11#21446135C211yesmaximal, characteristic, complemented
12#21446111C211yesmaximal, characteristic, complemented
13#21446007C211yesmaximal, characteristic, complemented
14#21445904C211yesmaximal, characteristic, complemented
15C2×C61×#340C211yesmaximal, characteristic, complemented
16C2×#14519752C2211yescharacteristic
17C2×#14519751—21no—
18C2×#14519751C2211yescharacteristic
19C2×C4×C22⋊D61—21no—
20C2×C4×C22⋊D61C2211yescharacteristic
21C2×C4⋊C4×D61C2211yescharacteristic
22C2×#14519710C2211yescharacteristic
23C2×#14519710C2211yescharacteristic
24C2×#14519699C2211yescharacteristic
25C2×#14519699C2211yescharacteristic
26C2×#14519697C2211yescharacteristic
27C2×#14519697C2211yescharacteristic
28C2×C22⋊#92418C2211yescharacteristic
29C2×#14519689C2211yescharacteristic
30C2×#14519689C2211yescharacteristic
31#16839684—21no—
32#16839679—21no—
33#16839663C2211yescharacteristic
34#16839661C2211yescharacteristic
35#16839657—21no—
36#16839641—21no—
37#16839635—21no—
38#16839633—21no—
39#16839631C2211yescharacteristic
40#16839622C2211yescharacteristic
41#16839619C2211yescharacteristic
42#16839619C2211yescharacteristic
43C4⋊C4×Dic61C2211yescharacteristic
44#16839525C2211yescharacteristic
45#16839525C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839524C2211yescharacteristic
49#16839524C2211yescharacteristic
50#16839516C2211yescharacteristic
51#16839516C2211yescharacteristic
52C23×C8×C61C2211yescharacteristic
53C22×C4⋊C4×C61C2211yescharacteristic
54C22×C4⋊C4×C61C2211yescharacteristic
55C61×#340C2211yescharacteristic
56C61×#340C2211yescharacteristic
57C61×#340C2211yescharacteristic
58C61×#340C2211yescharacteristic
59C22×D244—21no—
60C22×D244C2311yescharacteristic
61C22×C22⋊D61—21no—
62C22×C22⋊D61D411yescharacteristic
63C22×C4×D61—21no—
64C22×C4×D61C2311yescharacteristic
65C22×#92418C2311yescharacteristic
66C22×#92418C2311yescharacteristic
67#14519752—22no—
68#14519752—41no—
69#14519751—22no—
70#14519751—22no—
71#14519751—44no—
72C4×C22⋊D61—22no—
73C4×C22⋊D61—22no—
74C4×C22⋊D61—44no—
75C2×C4⋊Dic61—21no—
76C2×C4⋊Dic61C2311yescharacteristic
77C2×C4⋊Dic61C2311yescharacteristic
78C2×C4⋊Dic61C2311yescharacteristic
79C2×#11758196—21no—
80C2×#11758196—21no—
81C2×#11758196—21no—
82C2×#11758196D411yescharacteristic
83C4⋊C4×D61—22no—
84C4⋊C4×D61—41no—
85C2×C22⋊Dic61—21no—
86C2×C22⋊Dic61D411yescharacteristic
87C2×#11758198—21no—
88C2×#11758198—21no—
89C2×#11758198—21no—
90C2×#11758198—21no—
91C2×#11758198—21no—
92C2×#11758198—21no—
93C2×#11758198D411yescharacteristic
94C2×C4×Dic61—21no—
95C2×C4×Dic61C2311yescharacteristic
96#14519710—22no—
97#14519710—41no—
98#14519699—41no—
99#14519699—41no—
100#14519697—22no—
101#14519697—41no—
102C22⋊#92418—22no—
103#14519689—41no—
104#14519689—41no—
105#14519684—21no—
106#14519684—21no—
107#14519684—21no—
108#14519684—21no—
109#14519684—21no—
110C23×C4×C61—21no—
111C23×C4×C61—21no—
112C23×C4×C61C2311yescharacteristic
113C22×C8×C61—22no—
114C22×C8×C61—41no—
115C22×C8×C61—41no—
116C22×C8×C61C2311yescharacteristic
117C22×C8×C61C2311yescharacteristic
118C2×C4⋊C4×C61—22no—
119C2×C4⋊C4×C61—22no—
120C2×C4⋊C4×C61—21no—
121C2×C4⋊C4×C61—21no—
122C2×C4⋊C4×C61—41no—
123C2×C4⋊C4×C61—41no—
124C2×C4⋊C4×C61C2311yescharacteristic
125C2×C4⋊C4×C61C2311yescharacteristic
126C2×C4⋊C4×C61C2311yescharacteristic
127C2×C4⋊C4×C61C2311yescharacteristic
128C24×C61C2×D411yescharacteristic
129C23×D61—21no—
130C23×D61C2×D411yescharacteristic
131C22×C4×C61—21no—
132C22×C4×C61—21no—
133C22×C4×C61—21no—
134C22×C4×C61—21no—
135C22×C4×C61—21no—
136C22×C4×C61—21no—
137C22×C4×C61—21no—
138C22×C4×C61—21no—
139C22×C4×C61—42no—
140C22×C4×C61—42no—
141C22×C4×C61—42no—
142C22×C4×C61—42no—
143C22×C4×C61—81no—
144C22×C4×C61—81no—
145C22×C4×C61C2×D411yescharacteristic
146C22×C4×C61#4112yes—
147C22×C4×C61#4112yes—
148C22×C4×C61C2411yescharacteristic
149C2×C22⋊D61—22no—
150C2×C22⋊D61—22no—
151C2×C22⋊D61—42no—
152C2×C22⋊D61—42no—
153C2×C22⋊D61—42no—
154C2×C22⋊D61D814yes—
155C22×Dic61—21no—
156C22×Dic61—21no—
157C22×Dic61—21no—
158C22×Dic61C2×D411yescharacteristic
159C22×Dic61C2×D411yescharacteristic
160C22×Dic61C2×D411yescharacteristic
161C2×D244—21no—
162C2×D244—21no—
163C2×D244—21no—
164C2×D244—21no—
165C2×D244—21no—
166C2×D244—21no—
167C2×D244—42no—
168C2×D244—42no—
169C2×D244—81no—
170C2×C4×D61—21no—
171C2×C4×D61—21no—
172C2×C4×D61—21no—
173C2×C4×D61—21no—
174C2×C4×D61—21no—
175C2×C4×D61—21no—
176C2×C4×D61—42no—
177C2×C4×D61—42no—
178C2×C4×D61—81no—
179C2×C8×C61—21no—
180C2×C8×C61—21no—
181C2×C8×C61—21no—
182C2×C8×C61—21no—
183C2×C8×C61—21no—
184C2×C8×C61—21no—
185C2×C8×C61—44no—
186C4⋊C4×C61—21no—
187C4⋊C4×C61—21no—
188C4⋊C4×C61—21no—
189C4⋊C4×C61—21no—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—42no—
193C4⋊C4×C61—42no—
194C4⋊C4×C61#4112yes—
195C4⋊C4×C61#4112yes—
196C22⋊Dic61—22no—
197C22⋊Dic61—42no—
198#11758198—22no—
199#11758198—42no—
200#11758198—42no—
201#11758198—42no—
202#11758198—42no—
203#11758198—42no—
204#11758198—81no—
205C4⋊Dic61—21no—
206C4⋊Dic61—21no—
207C4⋊Dic61—21no—
208C4⋊Dic61—21no—
209C4⋊Dic61—21no—
210C4⋊Dic61—21no—
211C4⋊Dic61—42no—
212#11758196—22no—
213#11758196—42no—
214#11758196—42no—
215#11758196—81no—
216C4×Dic61—21no—
217C4×Dic61—21no—
218C4×Dic61—42no—
219C2×#92418—21no—
220C2×#92418—21no—
221C2×#92418—21no—
222C2×#92418—21no—
223C2×#92418—21no—
224C2×#92418—21no—
225C23×C61—21no—
226C23×C61—21no—
227C23×C61—21no—
228C23×C61—21no—
229C23×C61#12312yes—
230C23×C61C2×D812yes—
231C23×C61#13712yes—
232C23×C61C22×D411yescharacteristic
233C22×D61—21no—
234C22×D61—21no—
235C22×D61—21no—
236C22×D61—21no—
237C22×D61—21no—
238C22×D61—21no—
239C22×D61—41no—
240C22×D61—41no—
241C22×D61—41no—
242C22×D61—41no—
243C22×D61—41no—
244C22×D61—41no—
245C22×D61—41no—
246C22×D61C2×D812yes—
247C2×C4×C61—21no—
248C2×C4×C61—21no—
249C2×C4×C61—22no—
250C2×C4×C61—22no—
251C2×C4×C61—22no—
252C2×C4×C61—22no—
253C2×C4×C61—22no—
254C2×C4×C61—22no—
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—41no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—84no—
266C2×C4×C61—84no—
267C2×C4×C61#12312yes—
268C2×C4×C61C2×#4111yescharacteristic
269C2×C4×C61C2×#4111yescharacteristic
270C2×C4×C61C2×#4111yescharacteristic
271C2×C4×C61C2×#4111yescharacteristic
272C2×C4×C61H(5,𝔽2)11yescharacteristic
273C2×C4×C61H(5,𝔽2)11yescharacteristic
274C22⋊D61—28no—
275C22⋊D61—84no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—41no—
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×Dic61C2×D812yes—
294D244—41no—
295D244—41no—
296D244—41no—
297D244—41no—
298D244—84no—
299C4×D61—41no—
300C4×D61—41no—
301C4×D61—41no—
302C4×D61—41no—
303C4×D61—84no—
304C8×C61—41no—
305C8×C61—41no—
306#92418—41no—
307#92418—41no—
308#26198—611nomaximal, Sylow
309C22×C61—22no—
310C22×C61—22no—
311C22×C61—22no—
312C22×C61—22no—
313C22×C61—22no—
314C22×C61—22no—
315C22×C61#48014yes—
316C22×C61C2×#12311yescharacteristic
317C22×C61#54611yescharacteristic
318C22×C61#54611yescharacteristic
319C22×C61C22×D811yescharacteristic
320C22×C61C2×#13711yescharacteristic
321C22×C61#57711yescharacteristic
322C22×C61#57711yescharacteristic
323C2×D61—22no—
324C2×D61—22no—
325C2×D61—22no—
326C2×D61—41no—
327C2×D61—41no—
328C2×D61—41no—
329C2×D61—41no—
330C2×D61—81no—
331C2×D61—81no—
332C2×D61—81no—
333C2×D61—81no—
334C2×D61—81no—
335C2×D61—81no—
336C2×D61—81no—
337C4×C61—22no—
338C4×C61—42no—
339C4×C61—42no—
340C4×C61—81no—
341C4×C61—81no—
342C4×C61#52911yescharacteristic
343C4×C61#53811yescharacteristic
344C4×C61#55311yescharacteristic
345C4×C61#55311yescharacteristic
346Dic61—22no—
347Dic61—41no—
348Dic61—41no—
349Dic61—81no—
350Dic61—81no—
351Dic61—81no—
352#2416—611no—
353D4×C4⋊C4—611no—
354#2099—611no—
355#2075—611no—
356#2071—611no—
357#2033—611no—
358#1925—611no—
359#1918—611no—
360#1893—611no—
361#1874—611no—
362#1874—611no—
363#1869—611no—
364#1852—611no—
365#1823—611no—
366C2×#340D6111yescharacteristic, complemented
367C2×C61—24no—
368C2×C61#244411yescharacteristic
369C2×C61C2×#48011yescharacteristic
370C2×C61#309911yescharacteristic
371C2×C61#329411yescharacteristic
372C2×C61#329411yescharacteristic
373C2×C61#331611yescharacteristic
374C2×C61#332011yescharacteristic
375D61—42no—
376D61—161no—
377C23×C8C2×D6111yescharacteristic
378C2×#121—611no—
379C2×#121—611no—
380C2×#121—1221no—
381C2×C4×D4—611no—
382C2×C4×D4—1221no—
383C22×C4⋊C4—611no—
384C22×C4⋊C4C2×D6111yescharacteristic
385C22×C4⋊C4C2×D6111yescharacteristic
386C2×#107—611no—
387C2×#107—611no—
388C2×#102—611no—
389C2×#102—611no—
390C2×#102—611no—
391C2×#102—611no—
392C2×C22⋊C8—611no—
393C2×C22⋊C8—611no—
394C2×C22⋊C8—611no—
395#396—1221no—
396#394—1221no—
397#390—611no—
398#389—611no—
399#389—1221no—
400#386—1221no—
401#385—1221no—
402#385—1221no—
403#384—611no—
404#380—611no—
405#380—611no—
406#380—611no—
407C4×C4⋊C4—611no—
408#340—611no—
409#340—611no—
410#340—611no—
411#340—611no—
412#340—611no—
413#340—611no—
414#340C2×D6111yescharacteristic
415#340C2×D6111yescharacteristic
416#340C2×D6111yescharacteristic
417#340C2×D6111yescharacteristic
418#336—611no—
419#336—611no—
420C61#2619811yescharacteristic, complemented, Sylow
421C22×D4—611no—
422C22×D4—611no—
423C22×D4—1221no—
424C22×D4—1221no—
425C23×C4—21no—
426C23×C4—21no—
427C23×C4—611no—
428C23×C4—1221no—
429C23×C4C22×D6111yescharacteristic
430C22×C8—22no—
431C22×C8—41no—
432C22×C8—41no—
433C22×C8—611no—
434C22×C8—611no—
435C22×C8C22×D6111yescharacteristic
436C22×C8C22×D6111yescharacteristic
437#121—1222no—
438#121—1222no—
439#121—1222no—
440#121—2441no—
441#121—2444no—
442C4×D4—1222no—
443C4×D4—1222no—
444C4×D4—2444no—
445C2×C4⋊C4—22no—
446C2×C4⋊C4—22no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—41no—
450C2×C4⋊C4—41no—
451C2×C4⋊C4—611no—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—1222no—
456C2×C4⋊C4—1221no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—2441no—
461C2×C4⋊C4C22×D6111yescharacteristic
462C2×C4⋊C4C22×D6111yescharacteristic
463C2×C4⋊C4C22×D6111yescharacteristic
464C2×C4⋊C4C22×D6111yescharacteristic
465C2×C22⋊C4—611no—
466C2×C22⋊C4—611no—
467C2×C22⋊C4—1221no—
468C2×C22⋊C4—1221no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473C2×C22⋊C4—1221no—
474C2×C42—611no—
475C2×C42—1221no—
476#107—1222no—
477#107—2441no—
478#102—1222no—
479#102—2441no—
480#102—2441no—
481#102—2441no—
482C22⋊C8—1222no—
483C22⋊C8—2441no—
484C22⋊C8—2441no—
485#95—1221no—
486#95—1221no—
487#95—1221no—
488#95—1221no—
489#95—1221no—
490C24—611no—
491C24—1221no—
492C24D4×D6111yescharacteristic
493C2×D4—614no—
494C2×D4—1222no—
495C2×D4—1222no—
496C2×D4—1221no—
497C2×D4—1221no—
498C2×D4—1221no—
499C2×D4—1221no—
500C2×D4—1221no—
501C2×D4—1221no—
502C2×D4—4881no—
503C2×D4—2442no—
504C2×D4—2442no—
505C2×D4—2442no—
506C2×D4—2442no—
507C2×D4—2442no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—81no—
521C22×C4—81no—
522C22×C4—611no—
523C22×C4—611no—
524C22×C4—611no—
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—1221no—
534C22×C4—4881no—
535C22×C4—2442no—
536C22×C4—2442no—
537C22×C4#1175822212yes—
538C22×C4D4×D6111yescharacteristic
539C22×C4#1175822612yes—
540C22×C4C23×D6111yescharacteristic
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—44no—
548C2×C8—1221no—
549C2×C8—1221no—
550C2×C8—1221no—
551C2×C8—1221no—
552C2×C8—1221no—
553C2×C8—1221no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—1222no—
563C4⋊C4—1221no—
564C4⋊C4—1221no—
565C4⋊C4—1221no—
566C4⋊C4—1221no—
567C4⋊C4—1221no—
568C4⋊C4—1221no—
569C4⋊C4—4881no—
570C4⋊C4—2442no—
571C4⋊C4—2442no—
572C4⋊C4—2442no—
573C4⋊C4#1175822212yes—
574C4⋊C4#1175822212yes—
575C22⋊C4—1222no—
576C22⋊C4—1222no—
577C22⋊C4—4881no—
578C22⋊C4—2442no—
579C22⋊C4—2442no—
580C22⋊C4—2442no—
581C22⋊C4—2442no—
582C22⋊C4—2442no—
583C22⋊C4—2442no—
584C42—1221no—
585C42—1221no—
586C42—2442no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—612no—
592C23—1221no—
593C23—1221no—
594C23—1221no—
595C23—1221no—
596C23—1221no—
597C23—1221no—
598C23—2441no—
599C23—2441no—
600C23—2441no—
601C23—2441no—
602C23—2441no—
603C23—2441no—
604C23—2441no—
605C23#1451976212yes—
606C23D8×D6112yes—
607C23#1451980912yes—
608C23C2×D4×D6111yescharacteristic
609D4—1228no—
610D4—4884no—
611D4—4884no—
612D4—2441no—
613D4—2441no—
614D4—2441no—
615D4—2441no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—84no—
635C2×C4—84no—
636C2×C4—612no—
637C2×C4—1221no—
638C2×C4—1221no—
639C2×C4—1221no—
640C2×C4—1221no—
641C2×C4—1221no—
642C2×C4—1221no—
643C2×C4—1221no—
644C2×C4—1221no—
645C2×C4—4884no—
646C2×C4—2441no—
647C2×C4—2441no—
648C2×C4—2441no—
649C2×C4—2441no—
650C2×C4—2441no—
651C2×C4—2441no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4—2441no—
659C2×C4#1451976212yes—
660C2×C4C2×#1175822211yescharacteristic
661C2×C4C2×#1175822211yescharacteristic
662C2×C4C2×#1175822211yescharacteristic
663C2×C4C2×#1175822611yescharacteristic
664C2×C4#1451982211yescharacteristic
665C2×C4#1451982211yescharacteristic
666C8—41no—
667C8—41no—
668C8—2441no—
669C8—2441no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22—22no—
675C22—22no—
676C22—1222no—
677C22—1222no—
678C22—1222no—
679C22—4881no—
680C22—4881no—
681C22—4881no—
682C22—4881no—
683C22—4881no—
684C22—4881no—
685C22—4881no—
686C22—2441no—
687C22—2441no—
688C22—2441no—
689C22—2441no—
690C22#1684007714yes—
691C22C2×#1451976211yescharacteristic
692C22#1684040211yescharacteristic
693C22#1684040211yescharacteristic
694C22C2×D8×D6111yescharacteristic
695C22C2×#1451980911yescharacteristic
696C22#1684056811yescharacteristic
697C22#1684056811yescharacteristic
698C4—22no—
699C4—42no—
700C4—42no—
701C4—81no—
702C4—81no—
703C4—1222no—
704C4—4881no—
705C4—4881no—
706C4—4881no—
707C4—2441no—
708C4—2441no—
709C4#1684029611yescharacteristic
710C4#1684035011yescharacteristic
711C4#1684046011yescharacteristic
712C4#1684046011yescharacteristic
713C2—24no—
714C2—9761no—
715C2—2442no—
716C2#2144956911yescharacteristic
717C2C2×#1684007711yescharacteristic
718C2#2145581311yescharacteristic
719C2#2145762811yescharacteristic
720C2#2145762811yescharacteristic
721C2#2145792611yescharacteristic
722C2#2145798611yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC2×C61×#340C2
socleC23×C61C22×D4
prime radical#21449253C2
hypercenterC2×#340D61
hypocenterC61#26198
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#340

Complements

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

NH ≅ G/Ntype
2. C4⋊C4×C22⋊D61C2semidirect
3. #21447380C2semidirect
4. #21447246C2semidirect
5. #21447226C2semidirect
6. #21447004C2semidirect
7. #21446437C2semidirect
8. #21446393C2semidirect
9. #21446247C2semidirect
10. #21446136C2semidirect
11. #21446135C2semidirect
12. #21446111C2semidirect
13. #21446007C2semidirect
14. #21445904C2semidirect
15. C2×C61×#340C2semidirect
366. C2×#340D61semidirect
420. C61#26198semidirect

Maximal subgroups

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

subgroupindex
#214492532
C4⋊C4×C22⋊D612
#214473802
#214472462
#214472262
#214470042
#214464372
#214463932
#214462472
#214461362
#214461352
#214461112
#214460072
#214459042
C2×C61×#3402
#2619861