Finite Group Databasebeta

← #29699153

Subgroups — #29699153

Order 15616.

838 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839823C211yesmaximal, characteristic, complemented
2C2×#16839789C211yesmaximal, characteristic, complemented
3#21446434C211yesmaximal, characteristic, complemented
4#21446434C211yesmaximal, characteristic, complemented
5#21446385C211yesmaximal, characteristic, complemented
6#21446378C211yesmaximal, characteristic, complemented
7#21446117C211yesmaximal, characteristic
8#21446112C211yesmaximal, characteristic
9#21445936C211yesmaximal, characteristic, complemented
10#21445803C211yesmaximal, characteristic, complemented
11#21445803C211yesmaximal, characteristic, complemented
12#21445672C211yesmaximal, characteristic, complemented
13#21445603C211yesmaximal, characteristic, complemented
14#21445597C211yesmaximal, characteristic, complemented
15C61×#2293C211yesmaximal, characteristic
16C22×#11758194C2211yescharacteristic
17C23×#92418C2211yescharacteristic
18#16839823—24no—
19#16839789—24no—
20C2×C4⋊#92418C2211yescharacteristic
21C2×C4⋊#92418C2211yescharacteristic
22C2×C4⋊#92418C2211yescharacteristic
23C2×C4⋊#92418C2211yescharacteristic
24C2×C4⋊#92418C2211yescharacteristic
25C2×C4⋊#92418C2211yescharacteristic
26C2×C22⋊#92418C2211yescharacteristic
27C2×C22⋊#92418C2211yescharacteristic
28C2×C22⋊#92418C2211yescharacteristic
29C2×C22⋊#92418C2211yescharacteristic
30C2×C22⋊#92418C2211yescharacteristic
31C2×C22⋊#92418C2211yescharacteristic
32C2×#14519688C2211yescharacteristic
33C2×#14519688C2211yescharacteristic
34C2×#14519688C2211yescharacteristic
35C2×C4×#92418C2211yescharacteristic
36#16839517C2211yescharacteristic
37#16839517C2211yescharacteristic
38#16839517C2211yescharacteristic
39#16839517C2211yescharacteristic
40#16839517C2211yescharacteristic
41#16839517C2211yescharacteristic
42#16839517C2211yescharacteristic
43#16839517C2211yescharacteristic
44#16839517C2211yescharacteristic
45#16839517C2211yescharacteristic
46C2×C4×D4×C61C2211yescharacteristic
47C2×#117×C61C2211yescharacteristic
48C2×#117×C61C2211yescharacteristic
49C61×#390C411yescharacteristic
50C61×#390C411yescharacteristic
51C61×#389C411yescharacteristic
52C61×#389C411yescharacteristic
53C61×#388C411yescharacteristic
54C61×#388C411yescharacteristic
55C61×#388C411yescharacteristic
56C61×#388C411yescharacteristic
57C4×C4⋊C4×C61C2211yescharacteristic
58C4×C22⋊C4×C61C2211yescharacteristic
59C4×C22⋊C4×C61C2211yescharacteristic
60C43×C61C2211yescharacteristic
61C2×#11758194—22no—
62C2×#11758194—22no—
63C2×#11758194—41no—
64C22×#92418—22no—
65C22×#92418—22no—
66C22×#92418—41no—
67C22×#92418C2311yescharacteristic
68C22×#92418C2311yescharacteristic
69C22×#92418C2311yescharacteristic
70C22×#92418C2311yescharacteristic
71C22×#92418C2311yescharacteristic
72C22×#92418C2311yescharacteristic
73C22×#92418C2311yescharacteristic
74C22×#92418C2311yescharacteristic
75C4⋊#92418—22no—
76C4⋊#92418—22no—
77C4⋊#92418—22no—
78C4⋊#92418—22no—
79C4⋊#92418—22no—
80C4⋊#92418D414yescomplemented
81C22⋊#92418—22no—
82C22⋊#92418—22no—
83C22⋊#92418—22no—
84C22⋊#92418—22no—
85C22⋊#92418—41no—
86C22⋊#92418—41no—
87#14519688—22no—
88#14519688—41no—
89#14519688—41no—
90C4×#92418—22no—
91C22×D4×C61C2×C411yescharacteristic
92C23×C4×C61C2311yescharacteristic
93C23×C4×C61C2311yescharacteristic
94C4×D4×C61—22no—
95C4×D4×C61—22no—
96#117×C61—22no—
97#117×C61—22no—
98#117×C61—22no—
99#117×C61—22no—
100C2×C4⋊C4×C61C2×C411yescharacteristic
101C2×C4⋊C4×C61C2×C411yescharacteristic
102C2×C4⋊C4×C61C2×C411yescharacteristic
103C2×C4⋊C4×C61C2×C411yescharacteristic
104C2×C4⋊C4×C61C2×C411yescharacteristic
105C2×C4⋊C4×C61C2×C411yescharacteristic
106C2×C4⋊C4×C61C2×C411yescharacteristic
107C2×C22⋊C4×C61C2×C411yescharacteristic
108C2×C22⋊C4×C61C2×C411yescharacteristic
109C2×C22⋊C4×C61C2×C411yescharacteristic
110C2×C22⋊C4×C61C2×C411yescharacteristic
111C2×C22⋊C4×C61C2×C411yescharacteristic
112C2×C22⋊C4×C61C2×C411yescharacteristic
113C2×C22⋊C4×C61C2×C411yescharacteristic
114C2×C22⋊C4×C61C2×C411yescharacteristic
115C2×C22⋊C4×C61C2×C411yescharacteristic
116C2×C22⋊C4×C61C2×C411yescharacteristic
117C2×C42×C61C2×C411yescharacteristic
118C2×C42×C61C2×C411yescharacteristic
119C2×C42×C61C2×C411yescharacteristic
120C2×C42×C61C2×C411yescharacteristic
121C2×C42×C61C2311yescharacteristic
122C2×C42×C61C2311yescharacteristic
123C2×C42×C61C2311yescharacteristic
124C2×C42×C61C2311yescharacteristic
125C2×C42×C61C2311yescharacteristic
126#95×C61C2×C411yescharacteristic
127#95×C61C2×C411yescharacteristic
128#95×C61C2×C411yescharacteristic
129#95×C61C2×C411yescharacteristic
130#95×C61C2×C411yescharacteristic
131#95×C61C2×C411yescharacteristic
132C24×C61C22×C411yescharacteristic
133C24×C61C22×C411yescharacteristic
134C2×D4×C61—22no—
135C2×D4×C61—22no—
136C2×D4×C61—41no—
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×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61C22×C411yescharacteristic
148C22×C4×C61C22×C411yescharacteristic
149C22×C4×C61C22×C411yescharacteristic
150C22×C4×C61C22×C411yescharacteristic
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×C61C22×C411yescharacteristic
158C22×C4×C61C22×C411yescharacteristic
159C22×C4×C61#4112yes—
160C22×C4×C61#4112yes—
161C22×C4×C61C2411yescharacteristic
162C4⋊C4×C61—22no—
163C4⋊C4×C61—22no—
164C4⋊C4×C61—22no—
165C4⋊C4×C61—22no—
166C4⋊C4×C61—22no—
167C4⋊C4×C61—22no—
168C4⋊C4×C61—41no—
169C22⋊C4×C61—22no—
170C22⋊C4×C61—22no—
171C22⋊C4×C61—22no—
172C22⋊C4×C61—22no—
173C22⋊C4×C61—22no—
174C22⋊C4×C61—22no—
175C22⋊C4×C61—41no—
176C22⋊C4×C61—41no—
177C22⋊C4×C61—41no—
178C22⋊C4×C61—41no—
179C42×C61—22no—
180C42×C61—21no—
181C42×C61—21no—
182C42×C61—21no—
183C42×C61—21no—
184C42×C61—21no—
185C42×C61—21no—
186C42×C61—21no—
187C42×C61—21no—
188C42×C61—41no—
189C42×C61—41no—
190C42×C61—41no—
191C42×C61C2×D412yes—
192C42×C61#4112yes—
193#11758194—44no—
194C2×#92418—21no—
195C2×#92418—21no—
196C2×#92418—21no—
197C2×#92418—21no—
198C2×#92418—21no—
199C2×#92418—21no—
200C2×#92418—21no—
201C2×#92418—21no—
202C2×#92418—21no—
203C2×#92418—21no—
204C2×#92418—21no—
205C2×#92418—21no—
206C2×#92418—21no—
207C2×#92418—21no—
208C2×#92418—21no—
209C2×#92418—21no—
210C2×#92418—21no—
211C2×#92418—21no—
212C2×#92418—21no—
213C2×#92418—21no—
214C2×#92418—21no—
215C2×#92418—21no—
216C2×#92418—44no—
217C2×#92418C2×D412yes—
218C2×#92418C2×D412yes—
219C23×C61—21no—
220C23×C61—21no—
221C23×C61—21no—
222C23×C61—21no—
223C23×C61—21no—
224C23×C61—21no—
225C23×C61—21no—
226C23×C61—21no—
227C23×C61—21no—
228C23×C61—21no—
229C23×C61—21no—
230C23×C61—21no—
231C23×C61—21no—
232C23×C61#11712yes—
233C23×C61C23×C411yescharacteristic
234D4×C61—44no—
235C2×C4×C61—21no—
236C2×C4×C61—21no—
237C2×C4×C61—21no—
238C2×C4×C61—21no—
239C2×C4×C61—21no—
240C2×C4×C61—21no—
241C2×C4×C61—21no—
242C2×C4×C61—21no—
243C2×C4×C61—22no—
244C2×C4×C61—22no—
245C2×C4×C61—22no—
246C2×C4×C61—22no—
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×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—21no—
270C2×C4×C61—21no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61#11712yes—
276C2×C4×C61C4×D412yes—
277C2×C4×C61C4×D412yes—
278C2×C4×C61#13112yes—
279C2×C4×C61C22×D411yescharacteristic
280C2×C4×C61C2×#4111yescharacteristic
281C2×C4×C61C2×#4111yescharacteristic
282C2×C4×C61C2×#4111yescharacteristic
283C2×C4×C61H(5,𝔽2)11yescharacteristic
284C2×C4×C612−1+411yescharacteristic
285#92418—22no—
286#92418—22no—
287#92418—41no—
288#92418—41no—
289#92418—41no—
290#92418—41no—
291#92418—41no—
292#92418—41no—
293#22757—611nomaximal, Sylow
294C22×C61—22no—
295C22×C61—22no—
296C22×C61—22no—
297C22×C61—41no—
298C22×C61—41no—
299C22×C61—41no—
300C22×C61—41no—
301C22×C61—41no—
302C22×C61—41no—
303C22×C61—41no—
304C22×C61—41no—
305C22×C61—41no—
306C22×C61—41no—
307C22×C61—41no—
308C22×C61C2×#11711yescharacteristic
309C22×C61C2×C4×D411yescharacteristic
310C22×C61#52011yescharacteristic
311C22×C61C2×#13111yescharacteristic
312C22×C61#56811yescharacteristic
313C22×C61#56811yescharacteristic
314C22×C61#56811yescharacteristic
315C4×C61—22no—
316C4×C61—22no—
317C4×C61—22no—
318C4×C61—22no—
319C4×C61—41no—
320C4×C61—41no—
321C4×C61—41no—
322C4×C61—41no—
323C4×C61—41no—
324C4×C61—41no—
325C4×C61—41no—
326C4×C61—41no—
327C4×C61#54611yescharacteristic
328C4×C61#54811yescharacteristic
329C4×C61#55211yescharacteristic
330C4×C61#55311yescharacteristic
331C2×#433—611no—
332C2×#424—611no—
333#2293D6111yescharacteristic
334#1924—611no—
335#1924—611no—
336#1917—611no—
337#1916—611no—
338#1870—611no—
339#1869—611no—
340#1831—611no—
341#1798—611no—
342#1798—611no—
343#1767—611no—
344#1753—611no—
345#1752—611no—
346C2×C61—42no—
347C2×C61—81no—
348C2×C61#235211yescharacteristic
349C2×C61#292311yescharacteristic
350C2×C61#292411yescharacteristic
351C2×C61#293211yescharacteristic
352C2×C61#293511yescharacteristic
353C2×C61#299311yescharacteristic
354C2×C61#299511yescharacteristic
355C22×M16—611no—
356C23×C8—611no—
357C2×C4×D4C2×D6111yescharacteristic
358C2×#117C2×D6111yescharacteristic
359C2×#117C2×D6111yescharacteristic
360#433—1224no—
361#424—1224no—
362C2×C4⋊C8—611no—
363C2×C4⋊C8—611no—
364C2×C4⋊C8—611no—
365C2×C4⋊C8—611no—
366C2×C4⋊C8—611no—
367C2×C4⋊C8—611no—
368C2×C22⋊C8—611no—
369C2×C22⋊C8—611no—
370C2×C22⋊C8—611no—
371C2×C22⋊C8—611no—
372C2×C22⋊C8—611no—
373C2×C22⋊C8—611no—
374C2×#97—611no—
375C2×#97—611no—
376C2×#97—611no—
377C2×C4×C8—611no—
378#390Dic6111yescharacteristic
379#390Dic6111yescharacteristic
380#389Dic6111yescharacteristic
381#389Dic6111yescharacteristic
382#388Dic6111yescharacteristic
383#388Dic6111yescharacteristic
384#388Dic6111yescharacteristic
385#388Dic6111yescharacteristic
386C4×C4⋊C4C2×D6111yescharacteristic
387C4×C22⋊C4C2×D6111yescharacteristic
388C4×C22⋊C4C2×D6111yescharacteristic
389C43C2×D6111yescharacteristic
390#336—611no—
391#336—611no—
392#336—611no—
393#336—611no—
394#336—611no—
395#336—611no—
396#336—611no—
397#336—611no—
398#336—611no—
399#336—611no—
400C61#2275711yescharacteristic, complemented, Sylow
401C22×D4C2×Dic6111yescharacteristic
402C23×C4C22×D6111yescharacteristic
403C23×C4C22×D6111yescharacteristic
404C2×M16—1222no—
405C2×M16—1222no—
406C2×M16—2441no—
407C22×C8—611no—
408C22×C8—611no—
409C22×C8—611no—
410C22×C8—611no—
411C22×C8—611no—
412C22×C8—611no—
413C22×C8—611no—
414C22×C8—611no—
415C22×C8—1222no—
416C22×C8—1222no—
417C22×C8—2441no—
418C4×D4—22no—
419C4×D4—22no—
420#117—22no—
421#117—22no—
422#117—22no—
423#117—22no—
424C2×C4⋊C4C2×Dic6111yescharacteristic
425C2×C4⋊C4C2×Dic6111yescharacteristic
426C2×C4⋊C4C2×Dic6111yescharacteristic
427C2×C4⋊C4C2×Dic6111yescharacteristic
428C2×C4⋊C4C2×Dic6111yescharacteristic
429C2×C4⋊C4C2×Dic6111yescharacteristic
430C2×C4⋊C4C2×Dic6111yescharacteristic
431C2×C22⋊C4C2×Dic6111yescharacteristic
432C2×C22⋊C4C2×Dic6111yescharacteristic
433C2×C22⋊C4C2×Dic6111yescharacteristic
434C2×C22⋊C4C2×Dic6111yescharacteristic
435C2×C22⋊C4C2×Dic6111yescharacteristic
436C2×C22⋊C4C2×Dic6111yescharacteristic
437C2×C22⋊C4C2×Dic6111yescharacteristic
438C2×C22⋊C4C2×Dic6111yescharacteristic
439C2×C22⋊C4C2×Dic6111yescharacteristic
440C2×C22⋊C4C2×Dic6111yescharacteristic
441C2×C42C2×Dic6111yescharacteristic
442C2×C42C2×Dic6111yescharacteristic
443C2×C42C2×Dic6111yescharacteristic
444C2×C42C2×Dic6111yescharacteristic
445C2×C42C22×D6111yescharacteristic
446C2×C42C22×D6111yescharacteristic
447C2×C42C22×D6111yescharacteristic
448C2×C42C22×D6111yescharacteristic
449C2×C42C22×D6111yescharacteristic
450C4⋊C8—614no—
451C4⋊C8—1222no—
452C4⋊C8—1222no—
453C4⋊C8—1222no—
454C4⋊C8—1222no—
455C4⋊C8—1222no—
456C22⋊C8—1222no—
457C22⋊C8—1222no—
458C22⋊C8—1222no—
459C22⋊C8—1222no—
460C22⋊C8—2441no—
461C22⋊C8—2441no—
462#97—1222no—
463#97—2441no—
464#97—2441no—
465C4×C8—1222no—
466#95C2×Dic6111yescharacteristic
467#95C2×Dic6111yescharacteristic
468#95C2×Dic6111yescharacteristic
469#95C2×Dic6111yescharacteristic
470#95C2×Dic6111yescharacteristic
471#95C2×Dic6111yescharacteristic
472C24C22×Dic6111yescharacteristic
473C24C22×Dic6111yescharacteristic
474C2×D4—22no—
475C2×D4—22no—
476C2×D4—41no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4#1175822212yes—
488C22×C4#1175822212yes—
489C22×C4C22×Dic6111yescharacteristic
490C22×C4C22×Dic6111yescharacteristic
491C22×C4C22×Dic6111yescharacteristic
492C22×C4C22×Dic6111yescharacteristic
493C22×C4C22×Dic6111yescharacteristic
494C22×C4C22×Dic6111yescharacteristic
495C22×C4C22×Dic6111yescharacteristic
496C22×C4C22×Dic6111yescharacteristic
497C22×C4C22×Dic6111yescharacteristic
498C22×C4C22×Dic6111yescharacteristic
499C22×C4C22×Dic6111yescharacteristic
500C22×C4C22×Dic6111yescharacteristic
501C22×C4C23×D6111yescharacteristic
502M16—2444no—
503C2×C8—612no—
504C2×C8—612no—
505C2×C8—1221no—
506C2×C8—1221no—
507C2×C8—1221no—
508C2×C8—1221no—
509C2×C8—1221no—
510C2×C8—1221no—
511C2×C8—1221no—
512C2×C8—1221no—
513C2×C8—1221no—
514C2×C8—1221no—
515C2×C8—1221no—
516C2×C8—1221no—
517C2×C8—1221no—
518C2×C8—1221no—
519C2×C8—1221no—
520C2×C8—1221no—
521C2×C8—1221no—
522C2×C8—1221no—
523C2×C8—1221no—
524C2×C8—1221no—
525C2×C8—1221no—
526C2×C8—1221no—
527C2×C8—2444no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—41no—
535C22⋊C4—22no—
536C22⋊C4—22no—
537C22⋊C4—22no—
538C22⋊C4—22no—
539C22⋊C4—22no—
540C22⋊C4—22no—
541C22⋊C4—41no—
542C22⋊C4—41no—
543C22⋊C4—41no—
544C22⋊C4—41no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—21no—
549C42—21no—
550C42—21no—
551C42—21no—
552C42—21no—
553C42—22no—
554C42—41no—
555C42—41no—
556C42—41no—
557C42D4×D6112yes—
558C42#1175822412yes—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23#1451973612yes—
573C23C23×Dic6111yescharacteristic
574D4—44no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
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—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4#1451973612yes—
616C2×C4D4×Dic6112yes—
617C2×C4D4×Dic6112yes—
618C2×C4#1451978412yes—
619C2×C4C2×D4×D6111yescharacteristic
620C2×C4C2×#1175822411yescharacteristic
621C2×C4C2×#1175822211yescharacteristic
622C2×C4C2×#1175822211yescharacteristic
623C2×C4#1451982311yescharacteristic
624C2×C4#1451982411yescharacteristic
625C8—1222no—
626C8—1222no—
627C8—2441no—
628C8—2441no—
629C8—2441no—
630C8—2441no—
631C8—2441no—
632C8—2441no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22—41no—
642C22—41no—
643C22—41no—
644C22—41no—
645C22—41no—
646C22—41no—
647C22C2×#1451973611yescharacteristic
648C22C2×D4×Dic6111yescharacteristic
649C22#1684024511yescharacteristic
650C22C2×#1451978411yescharacteristic
651C22#1684052911yescharacteristic
652C22#1684052911yescharacteristic
653C22#1684052911yescharacteristic
654C4—22no—
655C4—22no—
656C4—22no—
657C4—22no—
658C4—41no—
659C4—41no—
660C4—41no—
661C4—41no—
662C4—41no—
663C4—41no—
664C4—41no—
665C4—41no—
666C4#1684040811yescharacteristic
667C4#1684042111yescharacteristic
668C4#1684045211yescharacteristic
669C4#1684045811yescharacteristic
670C2—42no—
671C2—81no—
672C2#2144874811yescharacteristic
673C2#2145447011yescharacteristic
674C2#2145447711yescharacteristic
675C2#2145453711yescharacteristic
676C2#2145456311yescharacteristic
677C2#2145496811yescharacteristic
678C2#2145498911yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D61
commutator, socleC23×C61C23×C4
FittingC61×#2293C2
prime radicalC22×D4×C61C2×C4
cosocleC22×C4×C61C24
hypercenter#2293D61
hypocenterC61#22757
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ #2293

Complements

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

NH ≅ G/Ntype
1. C2×#16839823C2semidirect
2. C2×#16839789C2semidirect
3. #21446434C2semidirect
4. #21446434C2semidirect
5. #21446385C2semidirect
6. #21446378C2semidirect
9. #21445936C2semidirect
10. #21445803C2semidirect
11. #21445803C2semidirect
12. #21445672C2semidirect
13. #21445603C2semidirect
14. #21445597C2semidirect
80. C4⋊#92418D4semidirect
400. C61#22757semidirect

Maximal subgroups

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

subgroupindex
C2×#168398232
C2×#168397892
#214464342
#214463852
#214463782
#214461172
#214461122
#214459362
#214458032
#214456722
#214456032
#214455972
C61×#22932
#2275761