Finite Group Databasebeta

← #29779599

Subgroups — #29779599

Order 15616.

954 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21451653C211yesmaximal, characteristic, complemented
2#21448399C211yesmaximal, characteristic
3#21447226C211yesmaximal, characteristic, complemented
4#21447226C211yesmaximal, characteristic, complemented
5#21446964C211yesmaximal, characteristic, complemented
6#21446964C211yesmaximal, characteristic, complemented
7#21446517C211yesmaximal, characteristic, complemented
8#21446514C211yesmaximal, characteristic, complemented
9#21446503C211yesmaximal, characteristic, complemented
10#21446500C211yesmaximal, characteristic, complemented
11#21445914C211yesmaximal, characteristic, complemented
12#21445751C211yesmaximal, characteristic
13#21445749C211yesmaximal, characteristic
14#21445587C211yesmaximal, characteristic, complemented
15C61×#1825C211yesmaximal, characteristic, complemented
16C23×D244C2211yescharacteristic
17C2×#14519768C2211yescharacteristic, complemented
18C2×#14519736C2211yescharacteristic
19C2×#14519699C2211yescharacteristic
20C2×#14519699C2211yescharacteristic
21C2×#14519699C2211yescharacteristic
22C2×#14519699C2211yescharacteristic
23C2×#14519697C2211yescharacteristic
24C2×#14519697C2211yescharacteristic
25C2×#14519697C2211yescharacteristic
26C2×#14519697C2211yescharacteristic
27C2×C22⋊#92418C2211yescharacteristic
28C2×#14519687C2211yescharacteristic, complemented
29C2×C8×Dic61C2211yescharacteristic, complemented
30#16839696—21no—
31#16839694—21no—
32#16839685—21no—
33#16839685—21no—
34#16839664—21no—
35#16839664—21no—
36#16839663C2211yescharacteristic
37#16839663C2211yescharacteristic
38#16839663C2211yescharacteristic
39#16839663C2211yescharacteristic
40#16839661C2211yescharacteristic, complemented
41#16839658C2211yescharacteristic, complemented
42#16839631C2211yescharacteristic, complemented
43#16839622C2211yescharacteristic
44#16839617—21no—
45#16839617—21no—
46#16839524C2211yescharacteristic, complemented
47#16839524C2211yescharacteristic, complemented
48#16839524C2211yescharacteristic, complemented
49#16839524C2211yescharacteristic, complemented
50#16839516C2211yescharacteristic, complemented
51#16839516C2211yescharacteristic, complemented
52C2×#117×C61C2211yescharacteristic
53C2×C22⋊C8×C61C2211yescharacteristic
54C61×#380C2211yescharacteristic
55C61×#340C2211yescharacteristic, complemented
56C61×#340C2211yescharacteristic, complemented
57C61×#340C2211yescharacteristic, complemented
58C61×#340C2211yescharacteristic, complemented
59C24×D61—21no—
60C22×D244—21no—
61C22×D244—22no—
62C22×D244—22no—
63C22×D244—22no—
64C22×D244—22no—
65C22×D244—41no—
66C22×D244—41no—
67C22×D244C2311yescharacteristic
68C22×D244C2311yescharacteristic
69C22×#92418C2311yescharacteristic
70C22×#92418C2311yescharacteristic
71#14519768—41no—
72#14519768—41no—
73#14519736—41no—
74#14519736—41no—
75C2×C4⋊Dic61—21no—
76C2×C4⋊Dic61—21no—
77C2×C4⋊Dic61D411yescharacteristic
78C2×C4⋊Dic61D411yescharacteristic
79C2×C4⋊Dic61C2311yescharacteristic
80C2×C4⋊Dic61C2311yescharacteristic
81C2×#11758196—21no—
82C2×#11758196—21no—
83C2×#11758196—21no—
84C2×#11758196—21no—
85C2×C22⋊Dic61—21no—
86C2×C22⋊Dic61D411yescharacteristic
87C2×C22⋊Dic61D411yescharacteristic
88C2×#11758198—21no—
89C2×#11758198—21no—
90C2×#11758198—21no—
91C2×#11758198—21no—
92C2×#11758198—21no—
93C2×#11758198—21no—
94C2×#11758198—21no—
95C2×#11758198—21no—
96C2×C4×Dic61C2311yescharacteristic
97C2×C4×Dic61C2311yescharacteristic
98#14519699—22no—
99#14519699—22no—
100#14519699—41no—
101#14519699—41no—
102#14519697—22no—
103#14519697—22no—
104#14519697—41no—
105#14519697—41no—
106C22⋊#92418—22no—
107#14519687—41no—
108C8×Dic61—41no—
109#14519684—21no—
110#14519684—21no—
111#14519684—21no—
112C23×C4×C61C2311yescharacteristic
113C22×C8×C61C2311yescharacteristic
114C22×C8×C61C2311yescharacteristic
115#117×C61—22no—
116#117×C61—22no—
117C2×C4⋊C4×C61C2311yescharacteristic
118C2×C4⋊C4×C61C2311yescharacteristic
119C2×C4⋊C4×C61C2311yescharacteristic
120C2×C4⋊C4×C61C2311yescharacteristic
121C2×C22⋊C4×C61—21no—
122C2×C22⋊C4×C61—21no—
123C2×C42×C61—21no—
124C22⋊C8×C61—22no—
125#95×C61—21no—
126C24×C61C2×D411yescharacteristic
127C23×D61—21no—
128C23×D61—21no—
129C23×D61—24no—
130C23×D61—42no—
131C23×D61—42no—
132C23×D61—81no—
133C23×D61—81no—
134C23×D61—81no—
135C23×D61—81no—
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×C61#4112yes—
146C22×C4×C61#4112yes—
147C22×C4×C61C2411yescharacteristic
148C22×Dic61—21no—
149C22×Dic61—21no—
150C22×Dic61C2×D411yescharacteristic
151C22×Dic61C2×D411yescharacteristic
152C22×Dic61C2×D411yescharacteristic
153C22×Dic61C2×D411yescharacteristic
154C2×D244—21no—
155C2×D244—21no—
156C2×D244—21no—
157C2×D244—21no—
158C2×D244—21no—
159C2×D244—21no—
160C2×D244—21no—
161C2×D244—21no—
162C2×D244—24no—
163C2×D244—21no—
164C2×D244—21no—
165C2×D244—44no—
166C2×D244—44no—
167C2×D244—44no—
168C2×D244—44no—
169C2×D244—42no—
170C2×D244—42no—
171C2×D244#4112yes—
172C2×D244#4112yes—
173C2×C8×C61—21no—
174C2×C8×C61—21no—
175C2×C8×C61—21no—
176C2×C8×C61—21no—
177C2×C8×C61—21no—
178C2×C8×C61—21no—
179C4⋊C4×C61—21no—
180C4⋊C4×C61—21no—
181C4⋊C4×C61—21no—
182C4⋊C4×C61—21no—
183C4⋊C4×C61—21no—
184C4⋊C4×C61—21no—
185C4⋊C4×C61—21no—
186C4⋊C4×C61—21no—
187C22⋊C4×C61—42no—
188C22⋊C4×C61—81no—
189C42×C61—42no—
190C22⋊Dic61—41no—
191C22⋊Dic61—41no—
192C22⋊Dic61—81no—
193#11758198—81no—
194#11758198—81no—
195#11758198—81no—
196#11758198—81no—
197#11758198—81no—
198#11758198—81no—
199#11758198—81no—
200#11758198—81no—
201C4⋊Dic61—21no—
202C4⋊Dic61—21no—
203C4⋊Dic61—21no—
204C4⋊Dic61—21no—
205C4⋊Dic61—41no—
206C4⋊Dic61—41no—
207C4⋊Dic61—42no—
208C4⋊Dic61—81no—
209#11758196—42no—
210#11758196—81no—
211#11758196—81no—
212#11758196—81no—
213C4×Dic61—21no—
214C4×Dic61—21no—
215C4×Dic61—21no—
216C4×Dic61—21no—
217C2×#92418—21no—
218C2×#92418—21no—
219C2×#92418—21no—
220C2×#92418—21no—
221C2×#92418—21no—
222C2×#92418—21no—
223C23×C61—21no—
224C23×C61—21no—
225C23×C61—21no—
226C23×C61—21no—
227C23×C61—21no—
228C23×C61—21no—
229C23×C61#12412yes—
230C23×C61C22×D411yescharacteristic
231C22×D61—22no—
232C22×D61—22no—
233C22×D61—48no—
234C22×D61—41no—
235C22×D61—41no—
236C22×D61—41no—
237C22×D61—41no—
238C22×D61—41no—
239C22×D61—41no—
240C22×D61—41no—
241C22×D61—41no—
242C22×D61—41no—
243C22×D61—41no—
244C22×D61—41no—
245C22×D61—41no—
246C22×D61—84no—
247C22×D61—84no—
248C22×D61—84no—
249C22×D61—84no—
250C22×D61—84no—
251C22×D61—84no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—22no—
255C2×C4×C61—22no—
256C2×C4×C61—22no—
257C2×C4×C61—22no—
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—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61#12412yes—
271C2×C4×C61C2×#4111yescharacteristic
272C2×C4×C61C2×#4111yescharacteristic
273C2×C4×C61C2×#4111yescharacteristic
274C2×C4×C61C2×#4111yescharacteristic
275C2×C4×C61H(5,𝔽2)11yescharacteristic
276C2×C4×C61H(5,𝔽2)11yescharacteristic
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—21no—
288C2×Dic61—21no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295D244—22no—
296D244—22no—
297D244—22no—
298D244—22no—
299D244—48no—
300D244—41no—
301D244—41no—
302D244—41no—
303D244—41no—
304C8×C61—41no—
305C8×C61—41no—
306#92418—41no—
307#92418—41no—
308#29115—611nomaximal, Sylow
309C22×C61—22no—
310C22×C61—22no—
311C22×C61—22no—
312C22×C61—41no—
313C22×C61—41no—
314C22×C61—41no—
315C22×C61—41no—
316C22×C61#52511yescharacteristic
317C22×C61C2×#12411yescharacteristic
318C22×C61#53411yescharacteristic
319C22×C61#57611yescharacteristic
320C22×C61#57611yescharacteristic
321C22×C61#57711yescharacteristic
322C22×C61#57711yescharacteristic
323C2×D61—42no—
324C2×D61—42no—
325C2×D61—42no—
326C2×D61—42no—
327C2×D61—42no—
328C2×D61—42no—
329C2×D61—816no—
330C2×D61—81no—
331C2×D61—81no—
332C2×D61—81no—
333C2×D61—81no—
334C2×D61—81no—
335C2×D61—81no—
336C2×D61—81no—
337C2×D61—81no—
338C4×C61—22no—
339C4×C61—81no—
340C4×C61—81no—
341C4×C61—81no—
342C4×C61—81no—
343C4×C61#55111yescharacteristic
344C4×C61#55111yescharacteristic
345C4×C61#55111yescharacteristic
346C4×C61#55111yescharacteristic
347Dic61—41no—
348Dic61—41no—
349Dic61—41no—
350Dic61—41no—
351Dic61—81no—
352Dic61—81no—
353#2629—611no—
354#2309—611no—
355#2071—611no—
356#2071—611no—
357#2025—611no—
358#2025—611no—
359#1936—611no—
360#1936—611no—
361#1934—611no—
362#1934—611no—
363#1825—611no—
364#1825D6111yescharacteristic, complemented
365#1786—611no—
366#1786—611no—
367#1750—611no—
368C2×C61—42no—
369C2×C61#256111yescharacteristic
370C2×C61#312211yescharacteristic
371C2×C61#312311yescharacteristic
372C2×C61#313611yescharacteristic
373C2×C61#313611yescharacteristic
374C2×C61#319811yescharacteristic
375C2×C61#319811yescharacteristic
376D61—82no—
377D61—82no—
378C23×D4—611no—
379C2×#125—611no—
380C2×#117—611no—
381C2×#117C2×D6111yescharacteristic
382C2×#102—611no—
383C2×#102—611no—
384C2×#102—611no—
385C2×#102—611no—
386C2×#102—611no—
387C2×#102—611no—
388C2×#102—611no—
389C2×#102—611no—
390C2×C22⋊C8—611no—
391C2×C22⋊C8C2×D6111yescharacteristic
392C2×#97—611no—
393C2×C4×C8—611no—
394#398—1221no—
395#398—1221no—
396#396—1221no—
397#396—1221no—
398#390—611no—
399#390—611no—
400#390—611no—
401#390—611no—
402#390—1221no—
403#390—1221no—
404#389—611no—
405#389—611no—
406#384—611no—
407#380—611no—
408#380C2×D6111yescharacteristic
409#379—1221no—
410#379—1221no—
411#340—611no—
412#340—611no—
413#340—611no—
414#340—611no—
415#340C2×D6111yescharacteristic, complemented
416#340C2×D6111yescharacteristic, complemented
417#340C2×D6111yescharacteristic, complemented
418#340C2×D6111yescharacteristic, complemented
419#336—611no—
420#336—611no—
421C61#2911511yescharacteristic, complemented, Sylow
422C25—1221no—
423C22×D4—611no—
424C22×D4—611no—
425C22×D4—1222no—
426C22×D4—1222no—
427C22×D4—1222no—
428C22×D4—1221no—
429C22×D4—1222no—
430C22×D4—2441no—
431C22×D4—2441no—
432C23×C4C22×D6111yescharacteristic
433C22×C8—611no—
434C22×C8—611no—
435C22×C8C22×D6111yescharacteristic
436C22×C8C22×D6111yescharacteristic
437#125—2441no—
438#125—2441no—
439#117—22no—
440#117—22no—
441#117—2441no—
442#117—2441no—
443C2×C4⋊C4—611no—
444C2×C4⋊C4—611no—
445C2×C4⋊C4—611no—
446C2×C4⋊C4—611no—
447C2×C4⋊C4—1221no—
448C2×C4⋊C4—1221no—
449C2×C4⋊C4—1221no—
450C2×C4⋊C4—1221no—
451C2×C4⋊C4—1221no—
452C2×C4⋊C4—1221no—
453C2×C4⋊C4C22×D6111yescharacteristic
454C2×C4⋊C4C22×D6111yescharacteristic
455C2×C4⋊C4C22×D6111yescharacteristic
456C2×C4⋊C4C22×D6111yescharacteristic
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—611no—
460C2×C22⋊C4—611no—
461C2×C22⋊C4—1221no—
462C2×C22⋊C4—1221no—
463C2×C22⋊C4—1221no—
464C2×C22⋊C4—1221no—
465C2×C22⋊C4—1221no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1221no—
468C2×C22⋊C4—1221no—
469C2×C22⋊C4—1221no—
470C2×C42—21no—
471C2×C42—611no—
472C2×C42—611no—
473#102—1222no—
474#102—1222no—
475#102—1222no—
476#102—1222no—
477#102—2441no—
478#102—2441no—
479#102—2441no—
480#102—2441no—
481C22⋊C8—22no—
482C22⋊C8—1222no—
483#97—2441no—
484C4×C8—2441no—
485#95—21no—
486#95—1221no—
487#95—1221no—
488#95—1221no—
489C24—1224no—
490C24—1221no—
491C24—1221no—
492C24—4881no—
493C24—4881no—
494C24—4881no—
495C24—4881no—
496C24—2442no—
497C24—2442no—
498C24D4×D6111yescharacteristic
499C2×D4—612no—
500C2×D4—612no—
501C2×D4—1224no—
502C2×D4—1221no—
503C2×D4—1221no—
504C2×D4—1221no—
505C2×D4—1221no—
506C2×D4—1221no—
507C2×D4—1221no—
508C2×D4—1221no—
509C2×D4—1221no—
510C2×D4—1221no—
511C2×D4—1221no—
512C2×D4—2444no—
513C2×D4—2444no—
514C2×D4—2444no—
515C2×D4—2444no—
516C2×D4—2442no—
517C2×D4—2442no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—611no—
527C22×C4—611no—
528C22×C4—611no—
529C22×C4—611no—
530C22×C4—1221no—
531C22×C4—1221no—
532C22×C4#1175822212yes—
533C22×C4D4×D6111yescharacteristic
534C22×C4#1175822412yes—
535C22×C4C23×D6111yescharacteristic
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—1221no—
543C2×C8—1221no—
544C2×C8—1221no—
545C2×C8—1221no—
546C2×C8—1221no—
547C2×C8—1221no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—1221no—
557C4⋊C4—1221no—
558C4⋊C4—1221no—
559C4⋊C4—1221no—
560C4⋊C4—4881no—
561C4⋊C4—4881no—
562C4⋊C4—4881no—
563C4⋊C4—4881no—
564C4⋊C4—2441no—
565C4⋊C4—2441no—
566C4⋊C4—2442no—
567C4⋊C4—2442no—
568C22⋊C4—42no—
569C22⋊C4—81no—
570C22⋊C4—4881no—
571C22⋊C4—4881no—
572C22⋊C4—4881no—
573C22⋊C4—4881no—
574C22⋊C4—4881no—
575C22⋊C4—4881no—
576C22⋊C4—4881no—
577C22⋊C4—4881no—
578C22⋊C4—4881no—
579C22⋊C4—2441no—
580C22⋊C4—2441no—
581C42—42no—
582C42—1221no—
583C42—1221no—
584C42—1221no—
585C42—1221no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—1222no—
593C23—1222no—
594C23—4884no—
595C23—4884no—
596C23—4884no—
597C23—4884no—
598C23—4884no—
599C23—4884no—
600C23—2448no—
601C23—2441no—
602C23—2441no—
603C23—2441no—
604C23—2441no—
605C23—2441no—
606C23—2441no—
607C23—2441no—
608C23—2441no—
609C23—2441no—
610C23—2441no—
611C23—2441no—
612C23—2441no—
613C23#1451976312yes—
614C23C2×D4×D6111yescharacteristic
615D4—1222no—
616D4—1222no—
617D4—1222no—
618D4—1222no—
619D4—2448no—
620D4—2441no—
621D4—2441no—
622D4—2441no—
623D4—2441no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
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—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—1221no—
643C2×C4—1221no—
644C2×C4—1221no—
645C2×C4—1221no—
646C2×C4—1221no—
647C2×C4—1221no—
648C2×C4—1221no—
649C2×C4—1221no—
650C2×C4—1221no—
651C2×C4—1221no—
652C2×C4—1221no—
653C2×C4—1221no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4#1451976312yes—
661C2×C4#41×D6111yescharacteristic
662C2×C4#41×D6111yescharacteristic
663C2×C4C2×#1175822411yescharacteristic
664C2×C4C2×#1175822211yescharacteristic
665C2×C4#1451982311yescharacteristic
666C2×C4#1451982311yescharacteristic
667C8—41no—
668C8—41no—
669C8—2441no—
670C8—2441no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—48816no—
679C22—4881no—
680C22—4881no—
681C22—4881no—
682C22—4881no—
683C22—4881no—
684C22—4881no—
685C22—4881no—
686C22—4881no—
687C22—2442no—
688C22—2442no—
689C22—2442no—
690C22—2442no—
691C22—2442no—
692C22—2442no—
693C22#1684027011yescharacteristic
694C22C2×#1451976311yescharacteristic
695C22#1684032311yescharacteristic
696C22#1684056411yescharacteristic
697C22#1684056611yescharacteristic
698C22#1684056911yescharacteristic
699C22#1684057111yescharacteristic
700C4—22no—
701C4—81no—
702C4—81no—
703C4—81no—
704C4—81no—
705C4—4881no—
706C4—4881no—
707C4—2441no—
708C4—2441no—
709C4—2441no—
710C4—2441no—
711C4#1684043511yescharacteristic
712C4#1684043511yescharacteristic
713C4#1684043611yescharacteristic
714C4#1684043611yescharacteristic
715C2—42no—
716C2—4882no—
717C2—4882no—
718C2#2145097611yescharacteristic
719C2#2145605811yescharacteristic
720C2#2145606711yescharacteristic
721C2#2145617611yescharacteristic
722C2#2145617711yescharacteristic
723C2#2145666911yescharacteristic
724C2#2145667711yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#1825C2
socleC23×C61C22×D4
prime radicalC23×D244C22
hypercenter#1825D61
hypocenterC61#29115
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1825

Complements

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

NH ≅ G/Ntype
1. #21451653C2semidirect
3. #21447226C2semidirect
4. #21447226C2semidirect
5. #21446964C2semidirect
6. #21446964C2semidirect
7. #21446517C2semidirect
8. #21446514C2semidirect
9. #21446503C2semidirect
10. #21446500C2semidirect
11. #21445914C2semidirect
14. #21445587C2semidirect
15. C61×#1825C2semidirect
17. C2×#14519768C22semidirect
28. C2×#14519687C22semidirect
29. C2×C8×Dic61C22semidirect
40. #16839661C22semidirect
41. #16839658C22semidirect
42. #16839631C22semidirect
46. #16839524C22semidirect
47. #16839524C22semidirect
48. #16839524C22semidirect
49. #16839524C22semidirect
50. #16839516C22semidirect
51. #16839516C22semidirect
55. C61×#340C22semidirect
56. C61×#340C22semidirect
57. C61×#340C22semidirect
58. C61×#340C22semidirect
364. #1825D61semidirect
415. #340C2×D61semidirect
416. #340C2×D61semidirect
417. #340C2×D61semidirect
418. #340C2×D61semidirect
421. C61#29115semidirect

Maximal subgroups

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

subgroupindex
#214516532
#214483992
#214472262
#214469642
#214465172
#214465142
#214465032
#214465002
#214459142
#214457512
#214457492
#214455872
C61×#18252
#2911561