Finite Group Databasebeta

← #29696161

Subgroups — #29696161

Order 15616.

1132 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840445C211yesmaximal, characteristic
2#21448689C212yesmaximal, complemented
3#21446802C212yesmaximal, complemented
4#21446277C212yesmaximal
5#21446276C212yesmaximal
6#21445896C211yesmaximal, characteristic, complemented
7#21445895C211yesmaximal, characteristic, complemented
8#21445806C211yesmaximal, characteristic
9#21445606C211yesmaximal, characteristic
10#21445550C211yesmaximal, characteristic, complemented
11C61×#1740C211yesmaximal, characteristic, complemented
12#16840445—22no—
13#16840445—22no—
14#16840445—22no—
15#16840445—22no—
16C2×#14519772C411yescharacteristic, complemented
17C2×#14519771C411yescharacteristic, complemented
18C2×#14519769C411yescharacteristic, complemented
19C2×#14519767C411yescharacteristic, complemented
20C2×#14519767C411yescharacteristic, complemented
21C2×#14519761C2211yescharacteristic
22C2×#14519760C2211yescharacteristic
23C2×#14519755C411yescharacteristic, complemented
24C2×#14519754C2211yescharacteristic
25C2×C4×Dic122C411yescharacteristic, complemented
26C2×#14519737C2211yescharacteristic
27C2×#14519734C411yescharacteristic, complemented
28C2×#14519733C2212yes—
29C2×#14519733C2211yescharacteristic
30C22×#11758196C2211yescharacteristic
31C2×#14519691C2212yes—
32C2×#14519691C2212yes—
33#16839657—22no—
34#16839646—22no—
35#16839643—22no—
36#16839625C2212yes—
37#16839623C2212yes—
38#16839620C2212yes—
39C4×#11758196—22no—
40C22⋊C4×Dic61C2212yes—
41#16839529C2211yescharacteristic
42#16839529C2212yes—
43#16839529C2211yescharacteristic
44#16839528C2212yes—
45#16839528C2212yes—
46C2×#117×C61C2212yes—
47C2×#117×C61C2211yescharacteristic
48C61×#342C2211yescharacteristic
49C61×#342C2212yes—
50C61×#342C2211yescharacteristic
51C22×Dic122C2×C411yescharacteristic
52C22×C22⋊D61C2311yescharacteristic
53C23×Dic61C2311yescharacteristic
54C23×Dic61C2311yescharacteristic
55C22×C4×D61C2×C411yescharacteristic
56#14519772—22no—
57#14519772—22no—
58#14519771—22no—
59#14519771—22no—
60#14519769—22no—
61#14519769—22no—
62#14519767—22no—
63#14519767—22no—
64#14519767—22no—
65#14519767—22no—
66#14519761—22no—
67#14519761—22no—
68#14519760—22no—
69#14519760—22no—
70#14519755—22no—
71#14519755—22no—
72#14519754—22no—
73#14519754—22no—
74C4×Dic122—21no—
75C4×Dic122—21no—
76C4×Dic122—21no—
77C4×Dic122—21no—
78#14519737—22no—
79#14519737—22no—
80#14519734—21no—
81#14519734—21no—
82#14519734—21no—
83#14519734—21no—
84#14519733—22no—
85#14519733—22no—
86#14519733—24no—
87#14519733—42no—
88C2×C4⋊Dic61C2×C411yescharacteristic
89C2×C4⋊Dic61C2×C411yescharacteristic
90C2×C4⋊Dic61C2×C411yescharacteristic
91C2×#11758196—22no—
92C2×#11758196—22no—
93C2×#11758196C2×C411yescharacteristic
94C2×#11758196C2×C411yescharacteristic
95C2×#11758196C2×C411yescharacteristic
96C2×#11758196C2×C411yescharacteristic
97C2×#11758196C2×C411yescharacteristic
98C2×#11758196C2×C411yescharacteristic
99C2×#11758196C2×C411yescharacteristic
100C2×#11758196C2×C411yescharacteristic
101C2×#11758196C2×C411yescharacteristic
102C2×#11758196C2×C411yescharacteristic
103C2×#11758196C2×C411yescharacteristic
104C2×#11758196D412yes—
105C2×#11758196D412yes—
106C2×#11758196D412yes—
107C2×#11758196D412yes—
108C2×C22⋊Dic61C2312yes—
109C2×C22⋊Dic61C2312yes—
110C2×C22⋊Dic61C2311yescharacteristic
111C2×#11758198C2×C411yescharacteristic
112C2×#11758198C2×C411yescharacteristic
113C2×#11758198C2×C411yescharacteristic
114C2×#11758198C2×C411yescharacteristic
115C2×#11758198C2×C411yescharacteristic
116C2×C4×Dic61—22no—
117C2×C4×Dic61—22no—
118C2×C4×Dic61C2×C411yescharacteristic
119C2×C4×Dic61C2×C411yescharacteristic
120C2×C4×Dic61C2×C411yescharacteristic
121#14519691—24no—
122#14519691—42no—
123#14519684—22no—
124#14519684—22no—
125#14519684—22no—
126#14519684—22no—
127#14519684—22no—
128#14519684—22no—
129C23×C4×C61C2311yescharacteristic
130#117×C61—22no—
131#117×C61—22no—
132#117×C61—24no—
133#117×C61—42no—
134C2×C4⋊C4×C61—22no—
135C2×C4⋊C4×C61C2×C411yescharacteristic
136C2×C4⋊C4×C61C2×C411yescharacteristic
137C2×C22⋊C4×C61C2312yes—
138C2×C22⋊C4×C61C2311yescharacteristic
139C2×C22⋊C4×C61C2311yescharacteristic
140C2×C22⋊C4×C61C2312yes—
141C2×C42×C61—22no—
142C2×C42×C61C2×C411yescharacteristic
143C2×C42×C61C2×C411yescharacteristic
144C24×C61C2411yescharacteristic
145C23×D61C22×C411yescharacteristic
146C22×C4×C61—22no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61—22no—
150C22×C4×C61—22no—
151C22×C4×C61C22×C411yescharacteristic
152C22×C4×C61C22×C411yescharacteristic
153C22×C4×C61C22×C411yescharacteristic
154C22×C4×C61C22×C411yescharacteristic
155C22×C4×C61C22×C411yescharacteristic
156C22×C4×C61C22×C411yescharacteristic
157C22×C4×C61C2×D412yes—
158C22×C4×C61C2×D412yes—
159C2×C22⋊D61—22no—
160C2×C22⋊D61—22no—
161C2×C22⋊D61—21no—
162C2×C22⋊D61—21no—
163C22×Dic61—22no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—22no—
167C22×Dic61—22no—
168C22×Dic61—42no—
169C22×Dic61C22×C411yescharacteristic
170C22×Dic61C22×C411yescharacteristic
171C22×Dic61C22×C411yescharacteristic
172C22×Dic61C22×C411yescharacteristic
173C22×Dic61C22×C411yescharacteristic
174C22×Dic61C22×C411yescharacteristic
175C22×Dic61C22×C411yescharacteristic
176C22×Dic61C2×D412yes—
177C22×Dic61C2×D412yes—
178C22×Dic61C2×D412yes—
179C22×Dic61C2×D412yes—
180C2×C4×D61—21no—
181C2×C4×D61—21no—
182C2×C4×D61—42no—
183C2×Dic122—21no—
184C2×Dic122—21no—
185C2×Dic122—42no—
186C4⋊C4×C61—22no—
187C4⋊C4×C61—22no—
188C4⋊C4×C61—44no—
189C22⋊C4×C61—22no—
190C22⋊C4×C61—22no—
191C22⋊C4×C61—22no—
192C22⋊C4×C61—22no—
193C22⋊C4×C61—22no—
194C22⋊C4×C61#4114yes—
195C42×C61—21no—
196C42×C61—21no—
197C42×C61—21no—
198C42×C61—21no—
199C42×C61—44no—
200C22⋊Dic61—22no—
201C22⋊Dic61—22no—
202C22⋊Dic61—22no—
203C22⋊Dic61—22no—
204C22⋊Dic61—22no—
205#11758198—21no—
206#11758198—21no—
207#11758198—22no—
208#11758198—21no—
209#11758198—21no—
210#11758198—22no—
211#11758198—22no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—22no—
215C4⋊Dic61—22no—
216#11758196—21no—
217#11758196—21no—
218#11758196—22no—
219#11758196—22no—
220#11758196—22no—
221#11758196—21no—
222#11758196—21no—
223#11758196—22no—
224#11758196—22no—
225#11758196—44no—
226#11758196—44no—
227#11758196C22⋊C411yescharacteristic
228#11758196C22⋊C411yescharacteristic
229#11758196C22⋊C411yescharacteristic
230#11758196C22⋊C411yescharacteristic
231#11758196C22⋊C412yes—
232#11758196C22⋊C412yes—
233#11758196C22⋊C412yes—
234#11758196C22⋊C412yes—
235#11758196C22⋊C412yes—
236#11758196C22⋊C412yes—
237C4×Dic61—21no—
238C4×Dic61—21no—
239C4×Dic61—21no—
240C4×Dic61—21no—
241C4×Dic61—21no—
242C4×Dic61—21no—
243C4×Dic61—44no—
244C4×Dic61—44no—
245C23×C61—41no—
246C23×C61—41no—
247C23×C61C23×C411yescharacteristic
248C23×C61C22×D412yes—
249C23×C61C2×#4112yes—
250C23×C61H(5,𝔽2)11yescharacteristic
251C23×C612−1+411yescharacteristic
252C22×D61—21no—
253C22×D61—21no—
254C22×D61—21no—
255C22×D61—41no—
256C22×D61—41no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—22no—
262C2×C4×C61—22no—
263C2×C4×C61—22no—
264C2×C4×C61—22no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—24no—
270C2×C4×C61—42no—
271C2×C4×C61—42no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—42no—
277C2×C4×C61—42no—
278C2×C4×C61—42no—
279C2×C4×C61C2×C22⋊C411yescharacteristic
280C2×C4×C61C2×C22⋊C411yescharacteristic
281C2×C4×C61C2×C22⋊C412yes—
282C22⋊D61—42no—
283C22⋊D61—42no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—21no—
288C2×Dic61—22no—
289C2×Dic61—22no—
290C2×Dic61—22no—
291C2×Dic61—22no—
292C2×Dic61—24no—
293C2×Dic61—22no—
294C2×Dic61—21no—
295C2×Dic61—21no—
296C2×Dic61—21no—
297C2×Dic61—21no—
298C2×Dic61—21no—
299C2×Dic61—41no—
300C2×Dic61—42no—
301C2×Dic61—41no—
302C2×Dic61—41no—
303C2×Dic61—42no—
304C2×Dic61—42no—
305C2×Dic61—42no—
306C2×Dic61—42no—
307C2×Dic61—42no—
308C2×Dic61—42no—
309C2×Dic61C2×C22⋊C411yescharacteristic
310C2×Dic61C2×C22⋊C411yescharacteristic
311C2×Dic61C2×C22⋊C411yescharacteristic
312C2×Dic61C2×C22⋊C412yes—
313C2×Dic61C2×C22⋊C412yes—
314C2×Dic61C2×C22⋊C411yescharacteristic
315C4×D61—42no—
316C4×D61—42no—
317Dic122—42no—
318Dic122—42no—
319#22478—611nomaximal, Sylow
320C22×C61—22no—
321C22×C61—21no—
322C22×C61—22no—
323C22×C61—21no—
324C22×C61—42no—
325C22×C61—41no—
326C22×C61—41no—
327C22×C61C22×C22⋊C411yescharacteristic
328C22×C61C4×#4111yescharacteristic
329C22×C61#52011yescharacteristic
330C22×C61#54612yes—
331C22×C61#54712yes—
332C2×D61—41no—
333C2×D61—41no—
334C2×D61—41no—
335C2×D61—81no—
336C2×D61—81no—
337C4×C61—21no—
338C4×C61—22no—
339C4×C61—21no—
340C4×C61—44no—
341C4×C61—41no—
342C4×C61—41no—
343C4×C61—41no—
344C4×C61—41no—
345C4×C61—82no—
346Dic61—21no—
347Dic61—22no—
348Dic61—21no—
349Dic61—21no—
350Dic61—22no—
351Dic61—41no—
352Dic61—41no—
353Dic61—41no—
354Dic61—82no—
355Dic61—82no—
356Dic61#41012yes—
357C2×#552—611no—
358#2344—612no—
359#1996—612no—
360#1899—612no—
361#1899—612no—
362#1820—611no—
363#1820—611no—
364#1799—611no—
365C4×#99—611no—
366#1740—611no—
367#1740D6111yescharacteristic, complemented
368C2×C61—22no—
369C2×C61—22no—
370C2×C61—21no—
371C2×C61—21no—
372C2×C61#233911yescharacteristic
373C2×C61C2×#41011yescharacteristic
374C2×C61#288411yescharacteristic
375D61—81no—
376#552—1222no—
377#552—1222no—
378#552—1222no—
379#552—1222no—
380C2×#126—611no—
381C2×#126—611no—
382C2×#125—611no—
383C2×#125—611no—
384C2×#125—611no—
385C2×#123—611no—
386C2×#123—611no—
387C2×C22⋊Q8—611no—
388C2×C22⋊Q8—611no—
389C2×C4×Q8—611no—
390C2×C4×D4—611no—
391C2×#117—611no—
392C2×#117—611no—
393C2×#117—612no—
394C2×#117C2×D6112yes—
395C2×#117C2×D6111yescharacteristic
396C22×C4⋊C4—611no—
397C2×#99—612no—
398C2×#99—612no—
399#389—1222no—
400#387—1222no—
401#387—1222no—
402#381—612no—
403#381—612no—
404#380—612no—
405C4×C4⋊C4—1222no—
406C4×C22⋊C4—612no—
407#342—611no—
408#342—611no—
409#342—612no—
410#342—612no—
411#342—612no—
412#342C2×D6111yescharacteristic
413#342C2×D6112yes—
414#342C2×D6111yescharacteristic
415C61#2247811yescharacteristic, complemented, Sylow
416C22×Q8—611no—
417C22×D4—611no—
418C23×C4—611no—
419C23×C4—611no—
420C23×C4—611no—
421C23×C4C22×D6111yescharacteristic
422#126—1222no—
423#126—1222no—
424#126—1222no—
425#126—1222no—
426#125—1222no—
427#125—1222no—
428#125—1222no—
429#125—1222no—
430#125—1222no—
431#125—1222no—
432#123—1222no—
433#123—1222no—
434#123—1222no—
435#123—1222no—
436C22⋊Q8—1222no—
437C22⋊Q8—1222no—
438C22⋊Q8—1222no—
439C22⋊Q8—1222no—
440C4×Q8—1221no—
441C4×Q8—1221no—
442C4×Q8—1221no—
443C4×Q8—1221no—
444C4×D4—1222no—
445C4×D4—1222no—
446#117—22no—
447#117—22no—
448#117—24no—
449#117—42no—
450#117—1221no—
451#117—1221no—
452#117—1221no—
453#117—1221no—
454#117—1222no—
455#117—1222no—
456#117—1224no—
457#117—2442no—
458C2×C4⋊C4—22no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—611no—
461C2×C4⋊C4—611no—
462C2×C4⋊C4—611no—
463C2×C4⋊C4—612no—
464C2×C4⋊C4—612no—
465C2×C4⋊C4—612no—
466C2×C4⋊C4—612no—
467C2×C4⋊C4—611no—
468C2×C4⋊C4—611no—
469C2×C4⋊C4—611no—
470C2×C4⋊C4—611no—
471C2×C4⋊C4—611no—
472C2×C4⋊C4—611no—
473C2×C4⋊C4—611no—
474C2×C4⋊C4—611no—
475C2×C4⋊C4—611no—
476C2×C4⋊C4—611no—
477C2×C4⋊C4—1222no—
478C2×C4⋊C4—1222no—
479C2×C4⋊C4C4×D6111yescharacteristic
480C2×C4⋊C4C4×D6111yescharacteristic
481C2×C22⋊C4—611no—
482C2×C22⋊C4—611no—
483C2×C22⋊C4—611no—
484C2×C22⋊C4—611no—
485C2×C22⋊C4—611no—
486C2×C22⋊C4—611no—
487C2×C22⋊C4—612no—
488C2×C22⋊C4—612no—
489C2×C22⋊C4C22×D6112yes—
490C2×C22⋊C4C22×D6111yescharacteristic
491C2×C22⋊C4C22×D6111yescharacteristic
492C2×C22⋊C4C22×D6112yes—
493C2×C42—22no—
494C2×C42—611no—
495C2×C42—611no—
496C2×C42—611no—
497C2×C42—1222no—
498C2×C42—1222no—
499C2×C42C4×D6111yescharacteristic
500C2×C42C4×D6111yescharacteristic
501#99—1224no—
502#99—2442no—
503#95—1222no—
504#95—1222no—
505#95—1222no—
506#95—1222no—
507#95—1222no—
508#95—1222no—
509C24—611no—
510C24C23×D6111yescharacteristic
511C2×Q8—1221no—
512C2×Q8—1221no—
513C2×Q8—2442no—
514C2×D4—1222no—
515C2×D4—1222no—
516C2×D4—1221no—
517C2×D4—1221no—
518C22×C4—22no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—611no—
524C22×C4—611no—
525C22×C4—611no—
526C22×C4—612no—
527C22×C4—612no—
528C22×C4—612no—
529C22×C4—611no—
530C22×C4—612no—
531C22×C4—611no—
532C22×C4—611no—
533C22×C4—611no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4—1222no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4—1222no—
540C22×C4—1222no—
541C22×C4—2442no—
542C22×C4—2442no—
543C22×C4C2×C4×D6111yescharacteristic
544C22×C4C2×C4×D6111yescharacteristic
545C22×C4C2×C4×D6111yescharacteristic
546C22×C4C2×C4×D6111yescharacteristic
547C22×C4C2×C4×D6111yescharacteristic
548C22×C4C2×C4×D6111yescharacteristic
549C22×C4D4×D6112yes—
550C22×C4D4×D6112yes—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—44no—
554C4⋊C4—611no—
555C4⋊C4—611no—
556C4⋊C4—611no—
557C4⋊C4—611no—
558C4⋊C4—612no—
559C4⋊C4—612no—
560C4⋊C4—612no—
561C4⋊C4—612no—
562C4⋊C4—612no—
563C4⋊C4—612no—
564C4⋊C4—1222no—
565C4⋊C4—1221no—
566C4⋊C4—1221no—
567C4⋊C4—1222no—
568C4⋊C4—1222no—
569C4⋊C4—1222no—
570C4⋊C4—1221no—
571C4⋊C4—1221no—
572C4⋊C4—1222no—
573C4⋊C4—1222no—
574C4⋊C4—1221no—
575C4⋊C4—1221no—
576C4⋊C4—1222no—
577C4⋊C4—2444no—
578C4⋊C4—2444no—
579C22⋊C4—22no—
580C22⋊C4—22no—
581C22⋊C4—22no—
582C22⋊C4—22no—
583C22⋊C4—22no—
584C22⋊C4—1221no—
585C22⋊C4—1221no—
586C22⋊C4—1222no—
587C22⋊C4—1222no—
588C22⋊C4—1222no—
589C22⋊C4—1221no—
590C22⋊C4—1221no—
591C22⋊C4—1222no—
592C22⋊C4—1222no—
593C22⋊C4—1222no—
594C22⋊C4—1222no—
595C22⋊C4—1222no—
596C22⋊C4#1175822214yes—
597C42—21no—
598C42—21no—
599C42—21no—
600C42—21no—
601C42—44no—
602C42—1221no—
603C42—1221no—
604C42—1221no—
605C42—1221no—
606C42—1221no—
607C42—1221no—
608C42—2444no—
609C42—2444no—
610C23—41no—
611C23—41no—
612C23—1221no—
613C23—1221no—
614C23—1221no—
615C23—2441no—
616C23—2441no—
617C23C22×C4×D6111yescharacteristic
618C23C2×D4×D6112yes—
619C23C2×#1175822212yes—
620C23#1451982211yescharacteristic
621C23#1451982511yescharacteristic
622Q8—2442no—
623Q8—2442no—
624D4—2442no—
625D4—2442no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—24no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—611no—
649C2×C4—611no—
650C2×C4—611no—
651C2×C4—611no—
652C2×C4—612no—
653C2×C4—612no—
654C2×C4—1224no—
655C2×C4—1222no—
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—1221no—
665C2×C4—1221no—
666C2×C4—1221no—
667C2×C4—1221no—
668C2×C4—1221no—
669C2×C4—2442no—
670C2×C4—2442no—
671C2×C4—2441no—
672C2×C4—2442no—
673C2×C4—2442no—
674C2×C4—2442no—
675C2×C4—2442no—
676C2×C4—2442no—
677C2×C4—2442no—
678C2×C4—2442no—
679C2×C4—2441no—
680C2×C4—2441no—
681C2×C4C22⋊C4×D6111yescharacteristic
682C2×C4C22⋊C4×D6111yescharacteristic
683C2×C4C22⋊C4×D6112yes—
684C22—22no—
685C22—21no—
686C22—22no—
687C22—21no—
688C22—42no—
689C22—41no—
690C22—41no—
691C22—4881no—
692C22—4881no—
693C22—2441no—
694C22—2441no—
695C22—2441no—
696C22C2×C22⋊C4×D6111yescharacteristic
697C22C4×#1175822211yescharacteristic
698C22#1684024311yescharacteristic
699C22#1684040212yes—
700C22#1684041312yes—
701C4—21no—
702C4—22no—
703C4—21no—
704C4—44no—
705C4—41no—
706C4—41no—
707C4—41no—
708C4—41no—
709C4—82no—
710C4—612no—
711C4—1222no—
712C4—1221no—
713C4—1221no—
714C4—1221no—
715C4—1222no—
716C4—4882no—
717C4—4882no—
718C4—2441no—
719C4—2441no—
720C4—2441no—
721C2—22no—
722C2—22no—
723C2—21no—
724C2—21no—
725C2—4881no—
726C2#2144864611yescharacteristic
727C2#410×D6111yescharacteristic
728C2#2145428111yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D61
commutatorC23×C61C23×C4
FrattiniC24C23×D61
FittingC61×#1740C2
socleC22×C61C22×C22⋊C4
prime radicalC22×C22⋊D61C23
cosocleC24×C61C24
hypercenter#1740D61
hypocenterC61#22478
LCSG ▷ C23×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1740

Complements

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

NH ≅ G/Ntype
2. #21448689C2semidirect
3. #21446802C2semidirect
6. #21445896C2semidirect
7. #21445895C2semidirect
10. #21445550C2semidirect
11. C61×#1740C2semidirect
16. C2×#14519772C4semidirect
17. C2×#14519771C4semidirect
18. C2×#14519769C4semidirect
19. C2×#14519767C4semidirect
20. C2×#14519767C4semidirect
23. C2×#14519755C4semidirect
25. C2×C4×Dic122C4semidirect
27. C2×#14519734C4semidirect
367. #1740D61semidirect
415. C61#22478semidirect

Maximal subgroups

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

subgroupindex
C2×#168404452
#214486892
#214468022
#214462772
#214462762
#214458962
#214458952
#214458062
#214456062
#214455502
C61×#17402
#2247861