Finite Group Databasebeta

← #29740588

Subgroups — #29740588

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#21449259C211yesmaximal, characteristic
2D4×C4⋊Dic61C211yesmaximal, characteristic, complemented
3#21447378C211yesmaximal, characteristic, complemented
4#21447242C211yesmaximal, characteristic, complemented
5#21447224C211yesmaximal, characteristic, complemented
6#21447002C211yesmaximal, characteristic, complemented
7#21446440C211yesmaximal, characteristic, complemented
8#21446391C211yesmaximal, characteristic, complemented
9#21446247C211yesmaximal, characteristic, complemented
10#21446134C211yesmaximal, characteristic, complemented
11#21446134C211yesmaximal, characteristic, complemented
12#21446009C211yesmaximal, characteristic, complemented
13#21445906C211yesmaximal, characteristic, complemented
14C2×#16839525C211yesmaximal, characteristic, complemented
15C61×#1869C211yesmaximal, characteristic, complemented
16C2×#14519751C2211yescharacteristic
17C2×#14519751C2211yescharacteristic
18C2×#14519749—21no—
19C2×D4×Dic61—21no—
20C22×C4⋊Dic61C2211yescharacteristic
21C22×C4⋊Dic61C2211yescharacteristic
22C22×C4⋊Dic61C2211yescharacteristic
23C2×#14519711C2211yescharacteristic
24C2×#14519711C2211yescharacteristic
25C2×#14519699C2211yescharacteristic
26C2×#14519699C2211yescharacteristic
27C2×#14519699C2211yescharacteristic
28C2×#14519699C2211yescharacteristic
29#16839684—21no—
30#16839678—21no—
31#16839664C2211yescharacteristic
32#16839661—21no—
33#16839660C2211yescharacteristic
34#16839639—21no—
35#16839637—21no—
36#16839637—21no—
37#16839632C2211yescharacteristic
38#16839622C2211yescharacteristic
39#16839622C2211yescharacteristic
40#16839622C2211yescharacteristic
41C4×C4⋊Dic61C2211yescharacteristic
42#16839525C2211yescharacteristic
43#16839525C2211yescharacteristic
44#16839525C2211yescharacteristic
45#16839525C2211yescharacteristic
46#16839525C2211yescharacteristic
47#16839525C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839525C2211yescharacteristic
51#16839525C2211yescharacteristic
52C23×C8×C61C2211yescharacteristic
53C2×C4×D4×C61C2211yescharacteristic
54C2×C22⋊C8×C61C2211yescharacteristic
55C2×C22⋊C8×C61C2211yescharacteristic
56C2×C22⋊C8×C61C2211yescharacteristic
57C61×#336C2211yescharacteristic
58C61×#336C2211yescharacteristic
59C22×D244C2311yescharacteristic
60C22×C22⋊D61—21no—
61C22×C22⋊D61—21no—
62C23×Dic61—21no—
63C23×Dic61—21no—
64C23×Dic61—21no—
65#14519751—22no—
66#14519751—22no—
67#14519751—22no—
68#14519751—41no—
69#14519749—44no—
70D4×Dic61—44no—
71C2×C4⋊Dic61—22no—
72C2×C4⋊Dic61—22no—
73C2×C4⋊Dic61—22no—
74C2×C4⋊Dic61—21no—
75C2×C4⋊Dic61—21no—
76C2×C4⋊Dic61—21no—
77C2×C4⋊Dic61—21no—
78C2×C4⋊Dic61—21no—
79C2×C4⋊Dic61—41no—
80C2×C4⋊Dic61—41no—
81C2×C4⋊Dic61—41no—
82C2×C4⋊Dic61C2311yescharacteristic
83C2×C4⋊Dic61C2311yescharacteristic
84C2×C4⋊Dic61C2311yescharacteristic
85C2×C4⋊Dic61C2311yescharacteristic
86C2×C4⋊Dic61C2311yescharacteristic
87C2×C4⋊Dic61C2311yescharacteristic
88C2×C4⋊Dic61C2311yescharacteristic
89C2×#11758196—21no—
90C2×C22⋊Dic61—21no—
91C2×C22⋊Dic61—21no—
92C2×C22⋊Dic61—21no—
93C2×#11758198—21no—
94C2×#11758198—21no—
95C2×#11758198—21no—
96C2×#11758198—21no—
97C2×C4×Dic61—21no—
98#14519711—22no—
99#14519711—41no—
100#14519699—22no—
101#14519699—41no—
102#14519699—41no—
103#14519699—41no—
104#14519684—21no—
105#14519684—21no—
106#14519684—21no—
107#14519684—21no—
108#14519684—21no—
109C22×D4×C61D411yescharacteristic
110C23×C4×C61C2311yescharacteristic
111C23×C4×C61C2311yescharacteristic
112C22×C8×C61—22no—
113C22×C8×C61—41no—
114C22×C8×C61—41no—
115C22×C8×C61C2311yescharacteristic
116C22×C8×C61C2311yescharacteristic
117C22×C8×C61C2311yescharacteristic
118C22×C8×C61C2311yescharacteristic
119C4×D4×C61—22no—
120C4×D4×C61—22no—
121C2×C4⋊C4×C61D411yescharacteristic
122C2×C22⋊C4×C61D411yescharacteristic
123C2×C22⋊C4×C61D411yescharacteristic
124C2×C42×C61C2311yescharacteristic
125C22⋊C8×C61—22no—
126C22⋊C8×C61—41no—
127C22⋊C8×C61—41no—
128C24×C61C2×D411yescharacteristic
129C24×C61C2×D411yescharacteristic
130C23×D61—21no—
131C2×D4×C61—22no—
132C2×D4×C61—22no—
133C2×D4×C61D814yes—
134C22×C4×C61—21no—
135C22×C4×C61—21no—
136C22×C4×C61—21no—
137C22×C4×C61—21no—
138C22×C4×C61—21no—
139C22×C4×C61—21no—
140C22×C4×C61—21no—
141C22×C4×C61—21no—
142C22×C4×C61—21no—
143C22×C4×C61—21no—
144C22×C4×C61C2×D411yescharacteristic
145C22×C4×C61C2×D411yescharacteristic
146C22×C4×C61C2×D411yescharacteristic
147C22×C4×C61C2×D411yescharacteristic
148C22×C4×C61#4112yes—
149C22×C4×C61#4112yes—
150C22×C4×C61C2411yescharacteristic
151C2×C22⋊D61—42no—
152C2×C22⋊D61—42no—
153C2×C22⋊D61—42no—
154C2×C22⋊D61—42no—
155C2×C22⋊D61—42no—
156C2×C22⋊D61—81no—
157C22×Dic61—21no—
158C22×Dic61—21no—
159C22×Dic61—21no—
160C22×Dic61—21no—
161C22×Dic61—21no—
162C22×Dic61—21no—
163C22×Dic61—21no—
164C22×Dic61—42no—
165C22×Dic61—42no—
166C22×Dic61—42no—
167C22×Dic61—42no—
168C22×Dic61—42no—
169C22×Dic61—42no—
170C22×Dic61—81no—
171C22×Dic61—81no—
172C22×Dic61—81no—
173C2×D244—21no—
174C2×D244—21no—
175C2×D244—21no—
176C2×D244—21no—
177C2×D244—21no—
178C2×D244—21no—
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—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61—21no—
190C2×C8×C61—21no—
191C2×C8×C61—44no—
192C4⋊C4×C61—22no—
193C22⋊C4×C61—22no—
194C22⋊C4×C61—22no—
195C42×C61—21no—
196C42×C61—21no—
197C22⋊Dic61—42no—
198C22⋊Dic61—42no—
199C22⋊Dic61—42no—
200#11758198—42no—
201#11758198—42no—
202#11758198—42no—
203#11758198—81no—
204C4⋊Dic61—21no—
205C4⋊Dic61—21no—
206C4⋊Dic61—21no—
207C4⋊Dic61—21no—
208C4⋊Dic61—21no—
209C4⋊Dic61—21no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—42no—
217C4⋊Dic61—42no—
218C4⋊Dic61—42no—
219C4⋊Dic61—42no—
220C4⋊Dic61—81no—
221C4⋊Dic61#4112yes—
222C4⋊Dic61#4112yes—
223#11758196—42no—
224C4×Dic61—42no—
225C23×C61—21no—
226C23×C61—21no—
227C23×C61—21no—
228C23×C61—21no—
229C23×C61—21no—
230C23×C61—21no—
231C23×C61—21no—
232C23×C61—21no—
233C23×C61—21no—
234C23×C61—21no—
235C23×C61#12312yes—
236C23×C61C2×D812yes—
237C23×C61C2×D812yes—
238C23×C61#13712yes—
239C23×C61C22×D411yescharacteristic
240C22×D61—41no—
241C22×D61—41no—
242C22×D61—41no—
243C22×D61—41no—
244C22×D61—41no—
245C22×D61—41no—
246C22×D61—41no—
247D4×C61—28no—
248C2×C4×C61—21no—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—22no—
253C2×C4×C61—22no—
254C2×C4×C61—22no—
255C2×C4×C61—22no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61#12312yes—
267C2×C4×C61C2×D812yes—
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—84no—
275C22⋊D61—84no—
276C2×Dic61—22no—
277C2×Dic61—22no—
278C2×Dic61—41no—
279C2×Dic61—41no—
280C2×Dic61—41no—
281C2×Dic61—41no—
282C2×Dic61—41no—
283C2×Dic61—41no—
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×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—84no—
298C2×Dic61—84no—
299C2×Dic61—84no—
300D244—41no—
301D244—41no—
302D244—41no—
303D244—41no—
304C8×C61—41no—
305C8×C61—41no—
306C8×C61—41no—
307C8×C61—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—22no—
316C22×C61—22no—
317C22×C61—22no—
318C22×C61—41no—
319C22×C61—41no—
320C22×C61—41no—
321C22×C61—41no—
322C22×C61#48014yes—
323C22×C61C2×#12311yescharacteristic
324C22×C61#54611yescharacteristic
325C22×C61#54611yescharacteristic
326C22×C61C22×D811yescharacteristic
327C22×C61C2×#13711yescharacteristic
328C22×C61#57711yescharacteristic
329C22×C61#57711yescharacteristic
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—22no—
339C4×C61—41no—
340C4×C61—41no—
341C4×C61#52911yescharacteristic
342C4×C61#53811yescharacteristic
343C4×C61#55311yescharacteristic
344C4×C61#55311yescharacteristic
345Dic61—42no—
346Dic61—42no—
347Dic61—81no—
348Dic61—81no—
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#1869D6111yescharacteristic, complemented
364#1852—611no—
365#1823—611no—
366C2×#340—611no—
367C2×C61—24no—
368C2×C61—42no—
369C2×C61#244411yescharacteristic
370C2×C61C2×#48011yescharacteristic
371C2×C61#309911yescharacteristic
372C2×C61#329411yescharacteristic
373C2×C61#329411yescharacteristic
374C2×C61#331611yescharacteristic
375C2×C61#332011yescharacteristic
376D61—161no—
377C23×C8C2×D6111yescharacteristic
378C2×#121—611no—
379C2×#121—611no—
380C2×#121—1221no—
381C2×C4×D4—1221no—
382C2×C4×D4C2×D6111yescharacteristic
383C22×C4⋊C4—611no—
384C22×C4⋊C4—611no—
385C22×C4⋊C4—611no—
386C2×#107—611no—
387C2×#107—611no—
388C2×#102—611no—
389C2×#102—611no—
390C2×#102—611no—
391C2×#102—611no—
392C2×C22⋊C8C2×D6111yescharacteristic
393C2×C22⋊C8C2×D6111yescharacteristic
394C2×C22⋊C8C2×D6111yescharacteristic
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#340—611no—
415#340—611no—
416#340—611no—
417#340—611no—
418#336C2×D6111yescharacteristic
419#336C2×D6111yescharacteristic
420C61#2619811yescharacteristic, complemented, Sylow
421C22×D4—611no—
422C22×D4—1221no—
423C22×D4—1221no—
424C22×D4D24411yescharacteristic
425C23×C4—1221no—
426C23×C4—1221no—
427C23×C4—1221no—
428C23×C4C22×D6111yescharacteristic
429C23×C4C22×D6111yescharacteristic
430C22×C8—22no—
431C22×C8—41no—
432C22×C8—41no—
433C22×C8C22×D6111yescharacteristic
434C22×C8C22×D6111yescharacteristic
435C22×C8C22×D6111yescharacteristic
436C22×C8C22×D6111yescharacteristic
437#121—1222no—
438#121—1222no—
439#121—1222no—
440#121—2441no—
441#121—2444no—
442C4×D4—22no—
443C4×D4—22no—
444C4×D4—2444no—
445C2×C4⋊C4—611no—
446C2×C4⋊C4—611no—
447C2×C4⋊C4—611no—
448C2×C4⋊C4—611no—
449C2×C4⋊C4—611no—
450C2×C4⋊C4—611no—
451C2×C4⋊C4—611no—
452C2×C4⋊C4—1222no—
453C2×C4⋊C4—1222no—
454C2×C4⋊C4—1222no—
455C2×C4⋊C4—1221no—
456C2×C4⋊C4—1221no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—1221no—
461C2×C4⋊C4—2441no—
462C2×C4⋊C4—2441no—
463C2×C4⋊C4—2441no—
464C2×C4⋊C4D24411yescharacteristic
465C2×C22⋊C4—1221no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1221no—
468C2×C22⋊C4—1221no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4D24411yescharacteristic
473C2×C22⋊C4D24411yescharacteristic
474C2×C42—1221no—
475C2×C42C22×D6111yescharacteristic
476#107—1222no—
477#107—2441no—
478#102—1222no—
479#102—2441no—
480#102—2441no—
481#102—2441no—
482C22⋊C8—22no—
483C22⋊C8—41no—
484C22⋊C8—41no—
485#95—1221no—
486#95—1221no—
487#95—1221no—
488#95—1221no—
489#95—1221no—
490C24—1221no—
491C24C2×D24411yescharacteristic
492C24C2×D24411yescharacteristic
493C2×D4—22no—
494C2×D4—22no—
495C2×D4—1221no—
496C2×D4—1221no—
497C2×D4—1221no—
498C2×D4—1221no—
499C2×D4—1221no—
500C2×D4—1221no—
501C2×D4—4881no—
502C2×D4—2442no—
503C2×D4—2442no—
504C2×D4—2442no—
505C2×D4—2442no—
506C2×D4—2442no—
507C2×D4D48814yes—
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—21no—
517C22×C4—21no—
518C22×C4—1221no—
519C22×C4—1221no—
520C22×C4—1221no—
521C22×C4—1221no—
522C22×C4—1221no—
523C22×C4—1221no—
524C22×C4—1221no—
525C22×C4—4881no—
526C22×C4—4881no—
527C22×C4—4881no—
528C22×C4—2442no—
529C22×C4—2442no—
530C22×C4—2442no—
531C22×C4—2442no—
532C22×C4—2442no—
533C22×C4—2442no—
534C22×C4C2×D24411yescharacteristic
535C22×C4C2×D24411yescharacteristic
536C22×C4C2×D24411yescharacteristic
537C22×C4C2×D24411yescharacteristic
538C22×C4#1175822412yes—
539C22×C4#1175822412yes—
540C22×C4C23×D6111yescharacteristic
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—44no—
554C4⋊C4—22no—
555C4⋊C4—612no—
556C4⋊C4—612no—
557C4⋊C4—1221no—
558C4⋊C4—1221no—
559C4⋊C4—1221no—
560C4⋊C4—1221no—
561C4⋊C4—1221no—
562C4⋊C4—1221no—
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—2442no—
574C4⋊C4—2442no—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—4881no—
578C22⋊C4—2442no—
579C22⋊C4—2442no—
580C22⋊C4—2442no—
581C22⋊C4—2442no—
582C22⋊C4—2442no—
583C22⋊C4—2442no—
584C42—21no—
585C42—21no—
586C42—2442no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—2441no—
598C23—2441no—
599C23—2441no—
600C23—2441no—
601C23—2441no—
602C23—2441no—
603C23—2441no—
604C23#1451976112yes—
605C23C2×D48812yes—
606C23C2×D48812yes—
607C23#1451981012yes—
608C23C22×D24411yescharacteristic
609D4—28no—
610D4—4884no—
611D4—4884no—
612D4—2441no—
613D4—2441no—
614D4—2441no—
615D4—2441no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—1222no—
635C2×C4—1222no—
636C2×C4—4884no—
637C2×C4—4884no—
638C2×C4—4884no—
639C2×C4—2441no—
640C2×C4—2441no—
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×C4—2441no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4#1451976112yes—
659C2×C4C2×D48812yes—
660C2×C4#41×D6111yescharacteristic
661C2×C4#41×D6111yescharacteristic
662C2×C4C2×#1175822411yescharacteristic
663C2×C4C2×#1175822411yescharacteristic
664C2×C4#1451982211yescharacteristic
665C2×C4#1451982211yescharacteristic
666C8—41no—
667C8—41no—
668C8—41no—
669C8—41no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22—22no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—22no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—4881no—
684C22—4881no—
685C22—4881no—
686C22—4881no—
687C22—4881no—
688C22—4881no—
689C22—4881no—
690C22#1684007614yes—
691C22C2×#1451976111yescharacteristic
692C22#1684040711yescharacteristic
693C22#1684040711yescharacteristic
694C22C22×D48811yescharacteristic
695C22C2×#1451981011yescharacteristic
696C22#1684057411yescharacteristic
697C22#1684057411yescharacteristic
698C4—22no—
699C4—22no—
700C4—41no—
701C4—41no—
702C4—4881no—
703C4—4881no—
704C4—4881no—
705C4—4881no—
706C4—4881no—
707C4—2442no—
708C4—2442no—
709C4#1684028911yescharacteristic
710C4#1684034711yescharacteristic
711C4#1684045511yescharacteristic
712C4#1684045511yescharacteristic
713C2—24no—
714C2—42no—
715C2—9761no—
716C2#2144956711yescharacteristic
717C2C2×#1684007611yescharacteristic
718C2#2145581011yescharacteristic
719C2#2145763311yescharacteristic
720C2#2145763311yescharacteristic
721C2#2145793211yescharacteristic
722C2#2145799211yescharacteristic
subgroupG/H
centerC23C22×D244
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#1869C2
socleC23×C61C22×D4
prime radical#21449259C2
hypercenter#1869D61
hypocenterC61#26198
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #1869

Complements

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

NH ≅ G/Ntype
2. D4×C4⋊Dic61C2semidirect
3. #21447378C2semidirect
4. #21447242C2semidirect
5. #21447224C2semidirect
6. #21447002C2semidirect
7. #21446440C2semidirect
8. #21446391C2semidirect
9. #21446247C2semidirect
10. #21446134C2semidirect
11. #21446134C2semidirect
12. #21446009C2semidirect
13. #21445906C2semidirect
14. C2×#16839525C2semidirect
15. C61×#1869C2semidirect
363. #1869D61semidirect
420. C61#26198semidirect

Maximal subgroups

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

subgroupindex
#214492592
D4×C4⋊Dic612
#214473782
#214472422
#214472242
#214470022
#214464402
#214463912
#214462472
#214461342
#214460092
#214459062
C2×#168395252
C61×#18692
#2619861