Finite Group Databasebeta

← #29689851

Subgroups — #29689851

Order 15616.

1044 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840316C211yesmaximal, characteristic
2#21454451C211yesmaximal, characteristic
3#423×D61C211yesmaximal, characteristic
4#21446806C212yesmaximal, complemented
5#21446661C212yesmaximal, complemented
6#21446286C212yesmaximal
7#21446284C212yesmaximal
8#21445815C211yesmaximal, characteristic, complemented
9#21445812C211yesmaximal, characteristic, complemented
10#21445812C211yesmaximal, characteristic, complemented
11C61×#1801C211yesmaximal, characteristic, complemented
12C2×M16×D61C2212yes—
13#16840316—21no—
14#16840316—21no—
15#16840316—21no—
16#16840316—21no—
17#16840316—21no—
18#16840316—21no—
19#16840316—21no—
20#16840316—21no—
21C2×#14519776C2211yescharacteristic
22C2×#14519775C2211yescharacteristic
23C2×#14519767C412yes—
24C2×#14519757C2211yescharacteristic
25C2×#14519755C412yes—
26C2×#14519753C2211yescharacteristic
27C2×C4×Dic122C412yes—
28C2×C4×Dic122C2211yescharacteristic
29C2×#14519734C412yes—
30C2×C42×D61C2211yescharacteristic
31#16839818—21no—
32#16839818—21no—
33#16839814—21no—
34#16839814—21no—
35#16839786C2211yescharacteristic
36#16839786C2211yescharacteristic
37#16839785C2212yes—
38#16839784—21no—
39#16839784—21no—
40C4⋊C8×D61—21no—
41C4⋊C8×D61—21no—
42C2×#14519696C2212yes—
43C2×#14519695C2212yes—
44C2×#14519695C2212yes—
45#16839725C2212yes—
46M16×Dic61C2212yes—
47#16839531C2212yes—
48#16839530C2212yes—
49#16839530C2212yes—
50C2×C4×Q8×C61C2211yescharacteristic
51C61×#423C2211yescharacteristic
52C61×#423C2211yescharacteristic
53C2×#101×C61C2212yes—
54C61×#343C2212yes—
55C22×Dic122C2×C412yes—
56C22×Dic122C2311yescharacteristic
57C22×C4×D61C2×C411yescharacteristic
58C22×C4×D61C2×C411yescharacteristic
59C22×C4×D61C2311yescharacteristic
60C2×#11758194C2312yes—
61C2×#11758194C2312yes—
62C2×#11758189—22no—
63M16×D61—42no—
64M16×D61—42no—
65C2×C8×D61—22no—
66#14519776—21no—
67#14519776—21no—
68#14519776—21no—
69#14519776—21no—
70#14519775—21no—
71#14519775—21no—
72#14519775—21no—
73#14519775—21no—
74#14519767—22no—
75#14519767—22no—
76#14519767—22no—
77#14519767—22no—
78#14519757—21no—
79#14519757—21no—
80#14519757—21no—
81#14519757—21no—
82#14519755—22no—
83#14519755—22no—
84#14519755—22no—
85#14519755—22no—
86#14519753—21no—
87#14519753—21no—
88#14519753—21no—
89#14519753—21no—
90C4×Dic122—21no—
91C4×Dic122—21no—
92C4×Dic122—21no—
93C4×Dic122—21no—
94C4×Dic122—22no—
95C4×Dic122—22no—
96C4×Dic122—22no—
97C4×Dic122—22no—
98#14519734—22no—
99#14519734—22no—
100#14519734—22no—
101#14519734—22no—
102C2×C4⋊Dic61C2×C412yes—
103C2×C4⋊Dic61C2311yescharacteristic
104C2×#11758196C2×C412yes—
105C2×#11758196C2×C412yes—
106C2×#11758196C2×C412yes—
107C2×#11758196C2×C412yes—
108C2×#11758196C2×C412yes—
109C2×#11758198C2×C412yes—
110C2×#11758198C2×C412yes—
111C2×C4×Dic61C2×C412yes—
112C2×C4×Dic61C2×C411yescharacteristic
113C2×C4×Dic61C2×C411yescharacteristic
114C2×C4×Dic61C2311yescharacteristic
115C42×D61D411yescharacteristic
116C42×D61D411yescharacteristic
117C42×D61D411yescharacteristic
118C42×D61D411yescharacteristic
119C42×D61D411yescharacteristic
120C42×D61D411yescharacteristic
121C42×D61D411yescharacteristic
122C42×D61D411yescharacteristic
123C4⋊#92418—21no—
124C4⋊#92418—21no—
125C4⋊#92418—21no—
126C4⋊#92418—21no—
127#14519706—22no—
128#14519706—22no—
129#14519696—42no—
130#14519695—42no—
131#14519695—42no—
132#14519689—22no—
133#14519689—22no—
134#14519687—22no—
135C8×Dic61—22no—
136C22×Q8×C61C2311yescharacteristic
137C2×M16×C61C2312yes—
138C2×M16×C61C2312yes—
139C4×Q8×C61—21no—
140C4×Q8×C61—21no—
141C4×Q8×C61—21no—
142C4×Q8×C61—21no—
143C2×C4⋊C4×C61C2×C412yes—
144C2×C4⋊C4×C61C2311yescharacteristic
145C2×C42×C61C2×C412yes—
146C2×C42×C61C2311yescharacteristic
147C4⋊C8×C61—21no—
148C4⋊C8×C61—21no—
149C4⋊C8×C61—21no—
150C4⋊C8×C61—21no—
151#101×C61—42no—
152C23×D61C22×C411yescharacteristic
153C2×Q8×C61—21no—
154C2×Q8×C61—21no—
155C2×Q8×C61—21no—
156C2×Q8×C61—21no—
157C2×Q8×C61—21no—
158C2×Q8×C61—21no—
159C22×C4×C61C22×C412yes—
160C22×C4×C61C22×C411yescharacteristic
161C22×C4×C61C22×C412yes—
162C22×C4×C61C22×C411yescharacteristic
163C22×C4×C61C2411yescharacteristic
164C22×Dic61C22×C412yes—
165C22×Dic61C22×C411yescharacteristic
166C22×Dic61C22×C411yescharacteristic
167C22×Dic61C22×C411yescharacteristic
168C22×Dic61C22×C412yes—
169C2×C4×D61—21no—
170C2×C4×D61—21no—
171C2×C4×D61—21no—
172C2×C4×D61—21no—
173C2×C4×D61—24no—
174C2×C4×D61—42no—
175C2×C4×D61C22⋊C411yescharacteristic
176C2×C4×D61C22⋊C411yescharacteristic
177C2×C4×D61C22⋊C411yescharacteristic
178C2×C4×D61C22⋊C411yescharacteristic
179C2×C4×D61C22⋊C411yescharacteristic
180C2×C4×D61C22⋊C411yescharacteristic
181C2×C4×D61C22⋊C411yescharacteristic
182C2×C4×D61C22⋊C411yescharacteristic
183C2×C4×D61C2×D411yescharacteristic
184C2×C4×D61C2×D411yescharacteristic
185C2×C4×D61C2×D411yescharacteristic
186C2×C4×D61C2×D411yescharacteristic
187C2×Dic122—21no—
188C2×Dic122—21no—
189C2×Dic122—21no—
190C2×Dic122—21no—
191C2×Dic122—21no—
192C2×Dic122—21no—
193C2×Dic122—22no—
194C2×Dic122—22no—
195C2×Dic122—44no—
196M16×C61—22no—
197M16×C61—22no—
198M16×C61—22no—
199M16×C61—22no—
200C2×C8×C61—22no—
201C2×C8×C61—22no—
202C4⋊C4×C61—22no—
203C4⋊C4×C61—22no—
204C4⋊C4×C61—21no—
205C4⋊C4×C61—21no—
206C42×C61—22no—
207C42×C61—22no—
208C42×C61C2×D411yescharacteristic
209C42×C61C2×D411yescharacteristic
210C42×C61C2×D411yescharacteristic
211C42×C61C2×D411yescharacteristic
212#11758198—22no—
213#11758198—22no—
214#11758198—22no—
215#11758198—22no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—22no—
219C4⋊Dic61—22no—
220#11758196—22no—
221#11758196—22no—
222#11758196—22no—
223#11758196—22no—
224#11758196—22no—
225#11758196—22no—
226#11758196—22no—
227#11758196—22no—
228#11758196—22no—
229#11758196—22no—
230C4×Dic61—22no—
231C4×Dic61—22no—
232C4×Dic61C22⋊C411yescharacteristic
233C4×Dic61C22⋊C411yescharacteristic
234C4×Dic61C22⋊C411yescharacteristic
235C4×Dic61C22⋊C411yescharacteristic
236C4×Dic61C22⋊C411yescharacteristic
237C4×Dic61C22⋊C411yescharacteristic
238C4×Dic61C22⋊C411yescharacteristic
239C4×Dic61C22⋊C411yescharacteristic
240C4×Dic61C2×D411yescharacteristic
241C4×Dic61C2×D411yescharacteristic
242C4×Dic61C2×D411yescharacteristic
243C4×Dic61C2×D411yescharacteristic
244#11758194—22no—
245#11758194—22no—
246#11758194—22no—
247#11758194—22no—
248C2×#92418—22no—
249C2×#92418—22no—
250#11758189—44no—
251C8×D61—44no—
252C23×C61C23×C411yescharacteristic
253C22×D61—21no—
254C22×D61—21no—
255C22×D61—22no—
256C22×D61—41no—
257C22×D61C2×C22⋊C411yescharacteristic
258C22×D61C2×C22⋊C411yescharacteristic
259Q8×C61—41no—
260Q8×C61—41no—
261Q8×C61—41no—
262Q8×C61—41no—
263C2×C4×C61—22no—
264C2×C4×C61—22no—
265C2×C4×C61—22no—
266C2×C4×C61—22no—
267C2×C4×C61—22no—
268C2×C4×C61—41no—
269C2×C4×C61—42no—
270C2×C4×C61C2×C22⋊C411yescharacteristic
271C2×C4×C61C2×C22⋊C411yescharacteristic
272C2×C4×C61C2×C22⋊C411yescharacteristic
273C2×C4×C61C2×C22⋊C411yescharacteristic
274C2×C4×C61C22×D411yescharacteristic
275C2×C4×C61C22×D411yescharacteristic
276C2×C4×C61H(5,𝔽2)11yescharacteristic
277C2×C4×C61H(5,𝔽2)11yescharacteristic
278C2×C4×C612−1+411yescharacteristic
279C2×C4×C612−1+411yescharacteristic
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—22no—
283C2×Dic61—22no—
284C2×Dic61—22no—
285C2×Dic61—22no—
286C2×Dic61—22no—
287C2×Dic61—22no—
288C2×Dic61—42no—
289C2×Dic61C2×C22⋊C411yescharacteristic
290C2×Dic61C2×C22⋊C411yescharacteristic
291C2×Dic61C2×C22⋊C411yescharacteristic
292C2×Dic61C2×C22⋊C411yescharacteristic
293C2×Dic61C2×C22⋊C411yescharacteristic
294C2×Dic61C2×C22⋊C411yescharacteristic
295C4×D61—22no—
296C4×D61—21no—
297C4×D61—21no—
298C4×D61—21no—
299C4×D61—21no—
300C4×D61—21no—
301C4×D61—21no—
302C4×D61—21no—
303C4×D61—21no—
304C4×D61—22no—
305C4×D61—22no—
306C4×D61—22no—
307C4×D61—22no—
308C4×D61—41no—
309C4×D61—41no—
310C4×D61#10114yescomplemented
311Dic122—44no—
312Dic122—41no—
313Dic122—41no—
314Dic122—41no—
315Dic122—41no—
316Dic122—44no—
317C8×C61—42no—
318C8×C61—42no—
319#92418—42no—
320#92418—42no—
321#21879—611nomaximal, Sylow
322C22×C61—21no—
323C22×C61—21no—
324C22×C61C22×C22⋊C411yescharacteristic
325C22×C61#52011yescharacteristic
326C22×C61#52011yescharacteristic
327C2×D61—21no—
328C2×D61—21no—
329C2×D61—21no—
330C2×D61—21no—
331C2×D61—21no—
332C2×D61—42no—
333C2×D61—42no—
334C2×D61C2×#10112yes—
335C4×C61—21no—
336C4×C61—21no—
337C4×C61—21no—
338C4×C61—42no—
339C4×C61—42no—
340C4×C61C2×#10112yes—
341C4×C61#53511yescharacteristic
342C4×C61#53611yescharacteristic
343C4×C61#53711yescharacteristic
344C4×C61#53711yescharacteristic
345Dic61—21no—
346Dic61—21no—
347Dic61—21no—
348Dic61—21no—
349Dic61—42no—
350Dic61—42no—
351Dic61C2×#10112yes—
352Dic61#41312yes—
353C2×#533—611no—
354#2920—611no—
355C2×#423—611no—
356#1997—612no—
357#1966—612no—
358#1901—612no—
359#1901—612no—
360#1801—611no—
361#1801—611no—
362#1801—611no—
363#1801D6111yescharacteristic, complemented
364C2×C61—21no—
365C2×C61—21no—
366C2×C61#231111yescharacteristic
367C2×C61C22×#10111yescharacteristic
368C2×C61C2×#41311yescharacteristic
369D61—22no—
370D61—41no—
371C22×M16—612no—
372#533—1221no—
373#533—1221no—
374#533—1221no—
375#533—1221no—
376#533—1221no—
377#533—1221no—
378#533—1221no—
379#533—1221no—
380C2×C4⋊Q8—611no—
381C2×C4⋊Q8—611no—
382C2×#125—612no—
383C2×C22⋊Q8—611no—
384C2×C22⋊Q8—612no—
385C2×C22⋊Q8—611no—
386C2×C4×Q8—612no—
387C2×C4×Q8—611no—
388C2×C4×Q8C2×D6111yescharacteristic
389C2×#117—612no—
390C22×C42—611no—
391#432—1221no—
392#432—1221no—
393#431—1221no—
394#431—1221no—
395#423—612no—
396#423—611no—
397#423—611no—
398#423—1221no—
399#423—1221no—
400#423C2×D6111yescharacteristic
401#423C2×D6111yescharacteristic
402C2×C4⋊C8—1221no—
403C2×C4⋊C8—1221no—
404C2×#101—612no—
405C2×#101—612no—
406C2×#101—612no—
407C2×#101C2×D6112yes—
408#407—612no—
409C4×M16—612no—
410#343—612no—
411#343—612no—
412#343—612no—
413#343C2×D6112yes—
414C61#2187911yescharacteristic, complemented, Sylow
415C22×Q8—612no—
416C22×Q8—611no—
417C22×Q8C22×D6111yescharacteristic
418C23×C4—611no—
419C23×C4—611no—
420C23×C4—611no—
421C2×M16—612no—
422C2×M16—612no—
423C2×M16—1222no—
424C2×M16—2442no—
425C2×M16—2442no—
426C2×M16C22×D6112yes—
427C2×M16C22×D6112yes—
428C22×C8—1222no—
429C4⋊Q8—1221no—
430C4⋊Q8—1221no—
431C4⋊Q8—1221no—
432C4⋊Q8—1221no—
433C4⋊Q8—1221no—
434C4⋊Q8—1221no—
435C4⋊Q8—1221no—
436C4⋊Q8—1221no—
437#125—1222no—
438#125—1222no—
439#125—1222no—
440#125—1222no—
441C22⋊Q8—1222no—
442C22⋊Q8—1222no—
443C22⋊Q8—1222no—
444C22⋊Q8—1222no—
445C22⋊Q8—1221no—
446C22⋊Q8—1221no—
447C22⋊Q8—1221no—
448C22⋊Q8—1221no—
449C22⋊Q8—1221no—
450C22⋊Q8—1221no—
451C22⋊Q8—1221no—
452C22⋊Q8—1221no—
453C4×Q8—21no—
454C4×Q8—21no—
455C4×Q8—21no—
456C4×Q8—21no—
457C4×Q8—1222no—
458C4×Q8—1222no—
459C4×Q8—1222no—
460C4×Q8—1222no—
461C4×Q8—1221no—
462C4×Q8—1221no—
463C4×Q8—1221no—
464C4×Q8—1221no—
465#117—1222no—
466#117—1222no—
467#117—1222no—
468#117—1222no—
469C2×C4⋊C4—612no—
470C2×C4⋊C4—612no—
471C2×C4⋊C4—612no—
472C2×C4⋊C4—612no—
473C2×C4⋊C4—612no—
474C2×C4⋊C4—612no—
475C2×C4⋊C4—611no—
476C2×C4⋊C4C4×D6112yes—
477C2×C4⋊C4C22×D6111yescharacteristic
478C2×C22⋊C4—612no—
479C2×C22⋊C4—612no—
480C2×C42—611no—
481C2×C42—611no—
482C2×C42—611no—
483C2×C42—611no—
484C2×C42—611no—
485C2×C42—611no—
486C2×C42—611no—
487C2×C42—611no—
488C2×C42—611no—
489C2×C42—611no—
490C2×C42—611no—
491C2×C42—612no—
492C2×C42C4×D6112yes—
493C2×C42C22×D6111yescharacteristic
494C4⋊C8—21no—
495C4⋊C8—21no—
496C4⋊C8—21no—
497C4⋊C8—21no—
498C4⋊C8—1222no—
499C4⋊C8—1222no—
500C4⋊C8—1221no—
501C4⋊C8—1221no—
502C4⋊C8—1221no—
503C4⋊C8—1221no—
504#101—42no—
505#101—2442no—
506#101—2442no—
507#101—2442no—
508C22⋊C8—1222no—
509C22⋊C8—1222no—
510#97—1222no—
511C4×C8—1222no—
512C24—611no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—1222no—
520C2×Q8—1222no—
521C2×Q8—1221no—
522C2×Q8—1221no—
523C2×Q8—1221no—
524C2×Q8—1221no—
525C2×Q8—1221no—
526C2×Q8—1221no—
527C2×Q8—2444no—
528C22×C4—611no—
529C22×C4—611no—
530C22×C4—611no—
531C22×C4—611no—
532C22×C4—611no—
533C22×C4—611no—
534C22×C4—611no—
535C22×C4—611no—
536C22×C4—611no—
537C22×C4—611no—
538C22×C4—611no—
539C22×C4—611no—
540C22×C4—611no—
541C22×C4—611no—
542C22×C4—611no—
543C22×C4—612no—
544C22×C4—612no—
545C22×C4—1224no—
546C22×C4—1221no—
547C22×C4—1221no—
548C22×C4—1221no—
549C22×C4—1221no—
550C22×C4—2442no—
551C22×C4C2×C4×D6112yes—
552C22×C4C2×C4×D6111yescharacteristic
553C22×C4C2×C4×D6112yes—
554C22×C4C2×C4×D6111yescharacteristic
555C22×C4C23×D6111yescharacteristic
556M16—22no—
557M16—22no—
558M16—22no—
559M16—22no—
560M16—1222no—
561M16—1222no—
562M16—1222no—
563M16—1222no—
564M16—2444no—
565C2×C8—22no—
566C2×C8—22no—
567C2×C8—1222no—
568C2×C8—1222no—
569C2×C8—2444no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—1222no—
575C4⋊C4—1222no—
576C4⋊C4—1222no—
577C4⋊C4—1222no—
578C4⋊C4—1222no—
579C4⋊C4—1222no—
580C4⋊C4—1222no—
581C4⋊C4—1222no—
582C4⋊C4—1222no—
583C4⋊C4—1222no—
584C4⋊C4—1221no—
585C4⋊C4—1221no—
586C4⋊C4—1222no—
587C4⋊C4—1222no—
588C22⋊C4—1222no—
589C22⋊C4—1222no—
590C22⋊C4—1222no—
591C22⋊C4—1222no—
592C42—22no—
593C42—22no—
594C42—611no—
595C42—611no—
596C42—611no—
597C42—611no—
598C42—611no—
599C42—611no—
600C42—611no—
601C42—611no—
602C42—611no—
603C42—611no—
604C42—611no—
605C42—611no—
606C42—1222no—
607C42—1222no—
608C42D4×D6111yescharacteristic
609C42D4×D6111yescharacteristic
610C42D4×D6111yescharacteristic
611C42D4×D6111yescharacteristic
612C23—611no—
613C23—611no—
614C23—1222no—
615C23—1221no—
616C23—1221no—
617C23—2441no—
618C23C22×C4×D6111yescharacteristic
619Q8—41no—
620Q8—41no—
621Q8—41no—
622Q8—41no—
623Q8—2444no—
624Q8—2444no—
625Q8—2441no—
626Q8—2441no—
627Q8—2441no—
628Q8—2441no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—41no—
635C2×C4—42no—
636C2×C4—611no—
637C2×C4—611no—
638C2×C4—614no—
639C2×C4—611no—
640C2×C4—611no—
641C2×C4—611no—
642C2×C4—611no—
643C2×C4—1222no—
644C2×C4—1222no—
645C2×C4—1222no—
646C2×C4—1222no—
647C2×C4—1222no—
648C2×C4—1222no—
649C2×C4—1221no—
650C2×C4—1221no—
651C2×C4—1222no—
652C2×C4—1221no—
653C2×C4—1221no—
654C2×C4—1221no—
655C2×C4—1221no—
656C2×C4—1221no—
657C2×C4—1221no—
658C2×C4—1221no—
659C2×C4—1221no—
660C2×C4—1222no—
661C2×C4—1222no—
662C2×C4—1222no—
663C2×C4—1222no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4—2442no—
667C2×C4C22⋊C4×D6111yescharacteristic
668C2×C4C22⋊C4×D6111yescharacteristic
669C2×C4C22⋊C4×D6111yescharacteristic
670C2×C4C22⋊C4×D6111yescharacteristic
671C2×C4C2×D4×D6111yescharacteristic
672C2×C4C2×D4×D6111yescharacteristic
673C2×C4#1451982211yescharacteristic
674C2×C4#1451982311yescharacteristic
675C2×C4#1451982411yescharacteristic
676C2×C4#1451982511yescharacteristic
677C8—42no—
678C8—42no—
679C8—2442no—
680C8—2442no—
681C22—21no—
682C22—21no—
683C22—612no—
684C22—1221no—
685C22—1221no—
686C22—1221no—
687C22—1221no—
688C22—1221no—
689C22—2442no—
690C22—2442no—
691C22C2×C22⋊C4×D6111yescharacteristic
692C22#1684024211yescharacteristic
693C22#1684024311yescharacteristic
694C4—21no—
695C4—21no—
696C4—21no—
697C4—42no—
698C4—42no—
699C4—612no—
700C4—612no—
701C4—1221no—
702C4—1221no—
703C4—1221no—
704C4—1221no—
705C4—2442no—
706C4—2442no—
707C4#101×D6112yes—
708C4#1684032811yescharacteristic
709C4#1684033511yescharacteristic
710C4#1684034111yescharacteristic
711C4#1684034211yescharacteristic
712C2—21no—
713C2—21no—
714C2—1222no—
715C2—2441no—
716C2#2144840811yescharacteristic
717C2C2×#101×D6111yescharacteristic
718C2#413×D6111yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D61
commutatorC23×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1801C2
socleC22×C61C22×C22⋊C4
prime radicalC23×D61C22×C4
cosocleC22×C4×C61C24
hypercenter#1801D61
hypocenterC61#21879
LCSG ▷ C23×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1801

Complements

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

NH ≅ G/Ntype
4. #21446806C2semidirect
5. #21446661C2semidirect
8. #21445815C2semidirect
9. #21445812C2semidirect
10. #21445812C2semidirect
11. C61×#1801C2semidirect
310. C4×D61#101semidirect
363. #1801D61semidirect
414. C61#21879semidirect

Maximal subgroups

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

subgroupindex
C2×#168403162
#214544512
#423×D612
#214468062
#214466612
#214462862
#214462842
#214458152
#214458122
C61×#18012
#2187961