Finite Group Databasebeta

← #29698616

Subgroups — #29698616

Order 15616.

888 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839833C211yesmaximal, characteristic
2C2×#16839831C211yesmaximal, characteristic
3#21448278C211yesmaximal, characteristic
4#21446541C211yesmaximal, characteristic, complemented
5#21446541C211yesmaximal, characteristic, complemented
6#21446003C211yesmaximal, characteristic, complemented
7#21446002C211yesmaximal, characteristic, complemented
8#21445998C211yesmaximal, characteristic, complemented
9#21445997C211yesmaximal, characteristic, complemented
10#21445934C211yesmaximal, characteristic, complemented
11#21445803C211yesmaximal, characteristic, complemented
12#21445802C211yesmaximal, characteristic, complemented
13#21445671C211yesmaximal, characteristic, complemented
14#21445514C211yesmaximal, characteristic, complemented
15C61×#1729C211yesmaximal, characteristic, complemented
16C22×#11758189C2211yescharacteristic
17C22×C8×D61C2211yescharacteristic
18C2×C4×C22⋊D61C2211yescharacteristic
19C2×#14519734C2211yescharacteristic
20#16839833—24no—
21#16839831—24no—
22C2×C4⋊#92418C2211yescharacteristic
23C2×C4⋊#92418C2211yescharacteristic
24C2×#14519706C2211yescharacteristic
25C2×#14519706C2211yescharacteristic
26C2×#14519706C2211yescharacteristic
27C2×#14519706C2211yescharacteristic
28C2×#14519706C2211yescharacteristic
29C2×#14519706C2211yescharacteristic
30C2×C22⋊#92418C2211yescharacteristic
31C2×C22⋊#92418C2211yescharacteristic
32C2×#14519689C2211yescharacteristic
33C2×#14519689C2211yescharacteristic
34C2×#14519687C2211yescharacteristic
35C2×#14519687C2211yescharacteristic
36#16839662C411yescharacteristic
37#16839662C411yescharacteristic
38#16839657C411yescharacteristic
39#16839657C411yescharacteristic
40#16839656C411yescharacteristic
41#16839656C411yescharacteristic
42#16839652C411yescharacteristic
43#16839652C411yescharacteristic
44C4×#11758196C2211yescharacteristic
45C4×#11758198C2211yescharacteristic
46C4×C22⋊Dic61C2211yescharacteristic
47C42×Dic61C2211yescharacteristic
48#16839517C2211yescharacteristic
49#16839517C2211yescharacteristic
50#16839516C2211yescharacteristic
51#16839516C2211yescharacteristic
52#16839516C2211yescharacteristic
53#16839516C2211yescharacteristic
54C22×M16×C61C2211yescharacteristic
55C23×C8×C61C2211yescharacteristic
56C2×#117×C61C2211yescharacteristic
57C61×#336C2211yescharacteristic
58C61×#336C2211yescharacteristic
59C61×#336C2211yescharacteristic
60C61×#336C2211yescharacteristic
61C22×C22⋊D61C2×C411yescharacteristic
62C22×C4×D61C2311yescharacteristic
63C2×#11758189—22no—
64C2×#11758189—22no—
65C2×#11758189—41no—
66C22×#92418C2311yescharacteristic
67C22×#92418C2311yescharacteristic
68C22×#92418C2311yescharacteristic
69C22×#92418C2311yescharacteristic
70C2×C8×D61—22no—
71C2×C8×D61—22no—
72C2×C8×D61—41no—
73C4×C22⋊D61D414yes—
74C4×C22⋊D61Q814yes—
75#14519734—41no—
76#14519734—41no—
77C2×#11758196C2×C411yescharacteristic
78C2×#11758196C2×C411yescharacteristic
79C2×#11758196C2×C411yescharacteristic
80C2×#11758196C2×C411yescharacteristic
81C2×#11758196C2×C411yescharacteristic
82C2×C22⋊Dic61C2×C411yescharacteristic
83C2×C22⋊Dic61C2×C411yescharacteristic
84C2×C22⋊Dic61C2×C411yescharacteristic
85C2×#11758198C2×C411yescharacteristic
86C2×#11758198C2×C411yescharacteristic
87C2×#11758198C2×C411yescharacteristic
88C2×#11758198C2×C411yescharacteristic
89C2×#11758198C2×C411yescharacteristic
90C2×C4×Dic61C2×C411yescharacteristic
91C2×C4×Dic61C2×C411yescharacteristic
92C2×C4×Dic61C2×C411yescharacteristic
93C2×C4×Dic61C2×C411yescharacteristic
94C2×C4×Dic61C2311yescharacteristic
95C2×C4×Dic61C2311yescharacteristic
96C2×C4×Dic61C2311yescharacteristic
97C4⋊#92418—41no—
98C4⋊#92418—41no—
99#14519706—22no—
100#14519706—22no—
101#14519706—22no—
102#14519706—22no—
103#14519706—41no—
104#14519706—41no—
105C22⋊#92418—22no—
106C22⋊#92418—22no—
107#14519689—22no—
108#14519689—22no—
109#14519687—22no—
110#14519687—22no—
111#14519684C2×C411yescharacteristic
112#14519684C2×C411yescharacteristic
113#14519684C2×C411yescharacteristic
114#14519684C2×C411yescharacteristic
115#14519684C2×C411yescharacteristic
116#14519684C2×C411yescharacteristic
117C23×C4×C61C2311yescharacteristic
118C2×M16×C61—22no—
119C2×M16×C61—22no—
120C2×M16×C61—41no—
121C22×C8×C61—22no—
122C22×C8×C61—22no—
123C22×C8×C61—41no—
124C22×C8×C61C2311yescharacteristic
125C22×C8×C61C2311yescharacteristic
126C22×C8×C61C2311yescharacteristic
127C22×C8×C61C2311yescharacteristic
128#117×C61—41no—
129#117×C61—41no—
130C2×C4⋊C4×C61C2×C411yescharacteristic
131C2×C4⋊C4×C61C2×C411yescharacteristic
132C2×C22⋊C4×C61C2×C411yescharacteristic
133C2×C22⋊C4×C61C2×C411yescharacteristic
134C2×C42×C61C2311yescharacteristic
135C2×C42×C61C2311yescharacteristic
136C24×C61C22×C411yescharacteristic
137C23×D61C22×C411yescharacteristic
138C22×C4×C61—21no—
139C22×C4×C61—21no—
140C22×C4×C61—21no—
141C22×C4×C61—21no—
142C22×C4×C61C22×C411yescharacteristic
143C22×C4×C61C22×C411yescharacteristic
144C22×C4×C61C22×C411yescharacteristic
145C22×C4×C61C22×C411yescharacteristic
146C22×C4×C61C22×C411yescharacteristic
147C22×C4×C61C2×D412yes—
148C22×C4×C61C2×Q812yes—
149C22×C4×C61C2411yescharacteristic
150C2×C22⋊D61—41no—
151C2×C22⋊D61—41no—
152C2×C22⋊D61C4⋊C414yes—
153C22×Dic61C22×C411yescharacteristic
154C22×Dic61C22×C411yescharacteristic
155C22×Dic61C22×C411yescharacteristic
156C22×Dic61C22×C411yescharacteristic
157C22×Dic61C22×C411yescharacteristic
158C22×Dic61C22×C411yescharacteristic
159C22×Dic61C22×C411yescharacteristic
160C2×C4×D61—21no—
161C2×C4×D61—21no—
162C2×C4×D61—21no—
163C2×C4×D61—21no—
164C2×C4×D61C2×D412yes—
165C2×C4×D61C2×Q812yes—
166M16×C61—44no—
167C2×C8×C61—21no—
168C2×C8×C61—21no—
169C2×C8×C61—21no—
170C2×C8×C61—21no—
171C2×C8×C61—21no—
172C2×C8×C61—21no—
173C2×C8×C61—21no—
174C2×C8×C61—21no—
175C2×C8×C61—21no—
176C2×C8×C61—21no—
177C2×C8×C61—44no—
178C2×C8×C61#4112yes—
179C2×C8×C61#4112yes—
180C4⋊C4×C61—41no—
181C4⋊C4×C61—41no—
182C22⋊C4×C61—41no—
183C22⋊C4×C61—41no—
184C42×C61—21no—
185C42×C61—21no—
186C42×C61—21no—
187C42×C61—21no—
188C22⋊Dic61—22no—
189C22⋊Dic61—41no—
190C22⋊Dic61C4⋊C414yes—
191#11758198—22no—
192#11758198—41no—
193#11758198—41no—
194#11758198—41no—
195#11758198C4⋊C414yes—
196#11758196—41no—
197#11758196—41no—
198#11758196—41no—
199#11758196—41no—
200#11758196C4⋊C414yes—
201C4×Dic61—21no—
202C4×Dic61—21no—
203C4×Dic61—21no—
204C4×Dic61—21no—
205C4×Dic61—22no—
206C4×Dic61—41no—
207C4×Dic61—41no—
208C4×Dic61—41no—
209C4×Dic61C2×D412yes—
210C4×Dic61C2×Q812yes—
211C2×#92418—21no—
212C2×#92418—21no—
213C2×#92418—21no—
214C2×#92418—21no—
215C2×#92418—21no—
216C2×#92418—21no—
217C2×#92418—21no—
218C2×#92418—21no—
219C2×#92418—21no—
220C2×#92418—21no—
221C2×#92418—21no—
222C2×#92418—21no—
223#11758189—44no—
224C8×D61—44no—
225C23×C61—21no—
226C23×C61—21no—
227C23×C61—21no—
228C23×C61—21no—
229C23×C61—21no—
230C23×C61—21no—
231C23×C61C2×C4⋊C412yes—
232C23×C61C23×C411yescharacteristic
233C22×D61—21no—
234C22×D61—21no—
235C22×D61—21no—
236C22×D61—21no—
237C22×D61—21no—
238C22×D61—21no—
239C22×D61C2×C4⋊C412yes—
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—21no—
247C2×C4×C61—21no—
248C2×C4×C61—21no—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61C2×C4⋊C412yes—
259C2×C4×C61C22×D411yescharacteristic
260C2×C4×C61C22×Q811yescharacteristic
261C2×C4×C61C2×#4111yescharacteristic
262C2×C4×C61C2×#4111yescharacteristic
263C2×C4×C61H(5,𝔽2)11yescharacteristic
264C2×C4×C61H(5,𝔽2)11yescharacteristic
265C22⋊D61—44no—
266C2×Dic61—21no—
267C2×Dic61—21no—
268C2×Dic61—21no—
269C2×Dic61—21no—
270C2×Dic61—21no—
271C2×Dic61—21no—
272C2×Dic61—21no—
273C2×Dic61—21no—
274C2×Dic61—21no—
275C2×Dic61—21no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61C2×C4⋊C412yes—
284C2×Dic61C2×C4⋊C412yes—
285C2×Dic61C2×C4⋊C412yes—
286C2×Dic61#13112yes—
287C4×D61—22no—
288C4×D61—22no—
289C4×D61—22no—
290C4×D61—22no—
291C8×C61—22no—
292C8×C61—22no—
293C8×C61—41no—
294C8×C61—41no—
295#92418—41no—
296#92418—41no—
297#92418—41no—
298#92418—41no—
299#22702—611nomaximal, Sylow
300C22×C61—22no—
301C22×C61—22no—
302C22×C61—22no—
303C22×C61—41no—
304C22×C61—41no—
305C22×C61—41no—
306C22×C61—41no—
307C22×C61C22×C4⋊C411yescharacteristic
308C22×C61C4×#4111yescharacteristic
309C22×C61#51811yescharacteristic
310C22×C61C2×#13111yescharacteristic
311C22×C61#56811yescharacteristic
312C22×C61#56811yescharacteristic
313C22×C61#56811yescharacteristic
314C2×D61—22no—
315C2×D61—22no—
316C2×D61—22no—
317C2×D61—41no—
318C2×D61—41no—
319C2×D61—41no—
320C2×D61—41no—
321C4×C61—22no—
322C4×C61—41no—
323C4×C61—41no—
324C4×C61—41no—
325C4×C61—41no—
326C4×C61#54611yescharacteristic
327C4×C61#54611yescharacteristic
328C4×C61#55411yescharacteristic
329C4×C61#55411yescharacteristic
330Dic61—22no—
331Dic61—22no—
332Dic61—22no—
333Dic61—22no—
334Dic61—41no—
335Dic61—41no—
336Dic61—41no—
337C2×#435—611no—
338C2×#435—611no—
339#2293—611no—
340#1940—611no—
341#1940—611no—
342#1851—611no—
343#1851—611no—
344#1850—611no—
345#1850—611no—
346#1831—611no—
347#1798—611no—
348#1798—611no—
349#1767—611no—
350#1729—611no—
351#1729D6111yescharacteristic, complemented
352C2×C61—42no—
353C2×C61#234911yescharacteristic
354C2×C61#290511yescharacteristic
355C2×C61#290611yescharacteristic
356C2×C61#296711yescharacteristic
357C2×C61#296811yescharacteristic
358C2×C61#298011yescharacteristic
359C2×C61#298111yescharacteristic
360D61—42no—
361C22×M16—611no—
362C22×M16C2×D6111yescharacteristic
363C23×C8—611no—
364C23×C8C2×D6111yescharacteristic
365C2×C4×D4—611no—
366C2×#117—611no—
367C2×#117C2×D6111yescharacteristic
368#435—1224no—
369#435—1224no—
370C2×C4⋊C8—611no—
371C2×C4⋊C8—611no—
372C2×C4⋊C8—611no—
373C2×C4⋊C8—611no—
374C2×C4⋊C8—611no—
375C2×C4⋊C8—611no—
376C2×C4⋊C8—611no—
377C2×C4⋊C8—611no—
378C2×C22⋊C8—611no—
379C2×C22⋊C8—611no—
380C2×C22⋊C8—611no—
381C2×C22⋊C8—611no—
382C2×#97—611no—
383C2×#97—611no—
384#390—611no—
385#390—611no—
386#389—611no—
387#389—611no—
388#388—611no—
389#388—611no—
390#388—611no—
391#388—611no—
392C4×C4⋊C4—611no—
393C4×C22⋊C4—611no—
394C4×C22⋊C4—611no—
395C43—611no—
396#336—611no—
397#336—611no—
398#336—611no—
399#336—611no—
400#336—611no—
401#336—611no—
402#336C2×D6111yescharacteristic
403#336C2×D6111yescharacteristic
404#336C2×D6111yescharacteristic
405#336C2×D6111yescharacteristic
406C61#2270211yescharacteristic, complemented, Sylow
407C22×D4—611no—
408C23×C4—611no—
409C23×C4C22×D6111yescharacteristic
410C2×M16—22no—
411C2×M16—22no—
412C2×M16—41no—
413C2×M16—1222no—
414C2×M16—1222no—
415C2×M16—2441no—
416C22×C8—22no—
417C22×C8—22no—
418C22×C8—41no—
419C22×C8—611no—
420C22×C8—611no—
421C22×C8—611no—
422C22×C8—611no—
423C22×C8—1222no—
424C22×C8—1222no—
425C22×C8—2441no—
426C22×C8C22×D6111yescharacteristic
427C22×C8C22×D6111yescharacteristic
428C22×C8C22×D6111yescharacteristic
429C22×C8C22×D6111yescharacteristic
430C4×D4—614no—
431C4×D4—614no—
432#117—41no—
433#117—41no—
434#117—2441no—
435#117—2441no—
436C2×C4⋊C4—611no—
437C2×C4⋊C4—611no—
438C2×C4⋊C4—611no—
439C2×C4⋊C4—611no—
440C2×C4⋊C4—611no—
441C2×C4⋊C4C4×D6111yescharacteristic
442C2×C4⋊C4C4×D6111yescharacteristic
443C2×C22⋊C4—611no—
444C2×C22⋊C4—611no—
445C2×C22⋊C4—611no—
446C2×C22⋊C4—611no—
447C2×C22⋊C4—611no—
448C2×C22⋊C4—611no—
449C2×C22⋊C4—611no—
450C2×C22⋊C4—611no—
451C2×C22⋊C4C4×D6111yescharacteristic
452C2×C22⋊C4C4×D6111yescharacteristic
453C2×C42—611no—
454C2×C42—611no—
455C2×C42—611no—
456C2×C42—611no—
457C2×C42—611no—
458C2×C42—611no—
459C2×C42—611no—
460C2×C42C22×D6111yescharacteristic
461C2×C42C22×D6111yescharacteristic
462C4⋊C8—1222no—
463C4⋊C8—1222no—
464C4⋊C8—1222no—
465C4⋊C8—1222no—
466C4⋊C8—2441no—
467C4⋊C8—2441no—
468C4⋊C8—2441no—
469C4⋊C8—2441no—
470C22⋊C8—1222no—
471C22⋊C8—1222no—
472C22⋊C8—1222no—
473C22⋊C8—1222no—
474#97—1222no—
475#97—1222no—
476#95—611no—
477#95—611no—
478#95—611no—
479#95—611no—
480#95—611no—
481#95—611no—
482C24—611no—
483C24C2×C4×D6111yescharacteristic
484C2×D4—614no—
485C2×D4—2441no—
486C2×D4—2441no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—611no—
492C22×C4—611no—
493C22×C4—611no—
494C22×C4—611no—
495C22×C4—612no—
496C22×C4—612no—
497C22×C4—611no—
498C22×C4—611no—
499C22×C4—611no—
500C22×C4—1221no—
501C22×C4—1221no—
502C22×C4—1221no—
503C22×C4—1221no—
504C22×C4C2×C4×D6111yescharacteristic
505C22×C4C2×C4×D6111yescharacteristic
506C22×C4C2×C4×D6111yescharacteristic
507C22×C4C2×C4×D6111yescharacteristic
508C22×C4C2×C4×D6111yescharacteristic
509C22×C4D4×D6112yes—
510C22×C4Q8×D6112yes—
511C22×C4C23×D6111yescharacteristic
512M16—44no—
513M16—2444no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—44no—
525C2×C8—1221no—
526C2×C8—1221no—
527C2×C8—1221no—
528C2×C8—1221no—
529C2×C8—1221no—
530C2×C8—1221no—
531C2×C8—1221no—
532C2×C8—1221no—
533C2×C8—1221no—
534C2×C8—1221no—
535C2×C8—1221no—
536C2×C8—1221no—
537C2×C8—2444no—
538C2×C8#1175822212yes—
539C2×C8#1175822212yes—
540C4⋊C4—41no—
541C4⋊C4—41no—
542C4⋊C4—614no—
543C4⋊C4—2441no—
544C4⋊C4—2441no—
545C4⋊C4—2441no—
546C4⋊C4—2441no—
547C22⋊C4—41no—
548C22⋊C4—41no—
549C22⋊C4—614no—
550C22⋊C4—614no—
551C22⋊C4—1222no—
552C22⋊C4—1222no—
553C22⋊C4—2441no—
554C22⋊C4—2441no—
555C22⋊C4—2441no—
556C22⋊C4—2441no—
557C42—21no—
558C42—21no—
559C42—21no—
560C42—21no—
561C42—612no—
562C42—612no—
563C42—1222no—
564C42—1221no—
565C42—1221no—
566C42—1221no—
567C42—1221no—
568C42—2441no—
569C42—2441no—
570C42—2441no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—612no—
578C23—1221no—
579C23—1221no—
580C23—1221no—
581C23—1221no—
582C23—1221no—
583C23—1221no—
584C23C4⋊C4×D6112yes—
585C23C22×C4×D6111yescharacteristic
586D4—2444no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—612no—
606C2×C4—612no—
607C2×C4—612no—
608C2×C4—612no—
609C2×C4—1221no—
610C2×C4—1221no—
611C2×C4—1221no—
612C2×C4—1221no—
613C2×C4—1221no—
614C2×C4—1221no—
615C2×C4—1221no—
616C2×C4—1221no—
617C2×C4—1222no—
618C2×C4—1222no—
619C2×C4—1222no—
620C2×C4—1222no—
621C2×C4—1221no—
622C2×C4—1221no—
623C2×C4—1221no—
624C2×C4—1221no—
625C2×C4—1221no—
626C2×C4—1221no—
627C2×C4—1221no—
628C2×C4—1221no—
629C2×C4—1221no—
630C2×C4C4⋊C4×D6112yes—
631C2×C4C2×D4×D6111yescharacteristic
632C2×C4C2×Q8×D6111yescharacteristic
633C2×C4C2×#1175822211yescharacteristic
634C2×C4C2×#1175822211yescharacteristic
635C2×C4#1451982211yescharacteristic
636C2×C4#1451982211yescharacteristic
637C8—22no—
638C8—22no—
639C8—41no—
640C8—41no—
641C8—2441no—
642C8—2441no—
643C8—2441no—
644C8—2441no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22—1222no—
653C22—1222no—
654C22—1222no—
655C22—2441no—
656C22—2441no—
657C22—2441no—
658C22—2441no—
659C22C2×C4⋊C4×D6111yescharacteristic
660C22C4×#1175822211yescharacteristic
661C22#1684023511yescharacteristic
662C22#131×D6111yescharacteristic
663C22#1684052711yescharacteristic
664C22#1684052711yescharacteristic
665C22#1684052711yescharacteristic
666C4—22no—
667C4—41no—
668C4—41no—
669C4—41no—
670C4—41no—
671C4—1222no—
672C4—1222no—
673C4—1222no—
674C4—1222no—
675C4—2441no—
676C4—2441no—
677C4—2441no—
678C4#1684040211yescharacteristic
679C4#1684040211yescharacteristic
680C4#1684046711yescharacteristic
681C4#1684046711yescharacteristic
682C2—42no—
683C2—2442no—
684C2#2144872611yescharacteristic
685C2#2145438011yescharacteristic
686C2#2145438611yescharacteristic
687C2#2145480011yescharacteristic
688C2#2145480911yescharacteristic
689C2#2145488811yescharacteristic
690C2#2145489211yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D61
commutator, socleC23×C61C23×C4
FittingC61×#1729C2
prime radicalC22×C22⋊D61C2×C4
cosocleC22×C4×C61C24
hypercenter#1729D61
hypocenterC61#22702
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ #1729

Complements

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

NH ≅ G/Ntype
4. #21446541C2semidirect
5. #21446541C2semidirect
6. #21446003C2semidirect
7. #21446002C2semidirect
8. #21445998C2semidirect
9. #21445997C2semidirect
10. #21445934C2semidirect
11. #21445803C2semidirect
12. #21445802C2semidirect
13. #21445671C2semidirect
14. #21445514C2semidirect
15. C61×#1729C2semidirect
351. #1729D61semidirect
406. C61#22702semidirect

Maximal subgroups

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

subgroupindex
C2×#168398332
C2×#168398312
#214482782
#214465412
#214460032
#214460022
#214459982
#214459972
#214459342
#214458032
#214458022
#214456712
#214455142
C61×#17292
#2270261