Finite Group Databasebeta

← #29696236

Subgroups — #29696236

Order 15616.

1162 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840454C211yesmaximal, characteristic
2C2×#16839825C211yesmaximal, characteristic
3#21448744C211yesmaximal, characteristic
4#21446782C211yesmaximal, characteristic, complemented
5#21446773C211yesmaximal, characteristic, complemented
6#21446243C211yesmaximal, characteristic, complemented
7#21446239C211yesmaximal, characteristic, complemented
8#21446128C211yesmaximal, characteristic, complemented
9#21445913C211yesmaximal, characteristic, complemented
10#21445906C211yesmaximal, characteristic, complemented
11#21445832C211yesmaximal, characteristic, complemented
12#103×Dic61C211yesmaximal, characteristic, complemented
13#21445534C211yesmaximal, characteristic, complemented
14C2×#16839524C211yesmaximal, characteristic, complemented
15C61×#1872C211yesmaximal, characteristic, complemented
16C23×#92418C2211yescharacteristic
17C22×C8×D61C2211yescharacteristic
18#16840454—24no—
19#16840454C418yescomplemented
20C2×#14519772—21no—
21C2×#14519768—21no—
22C2×#14519768C2211yescharacteristic
23C2×#14519761—21no—
24C2×#14519753C2211yescharacteristic
25C2×Q8×Dic61C2211yescharacteristic
26C2×C4×C22⋊D61C2211yescharacteristic
27C2×#14519735C2211yescharacteristic
28C2×#14519735C2211yescharacteristic
29C2×#14519733—21no—
30C22×C4⋊Dic61C2211yescharacteristic
31#16839825—24no—
32C2×#14519706C2211yescharacteristic
33C2×#14519701C2211yescharacteristic
34C2×#14519701C2211yescharacteristic
35C2×#14519689C2211yescharacteristic
36C2×C8×Dic61C2211yescharacteristic
37#16839652—21no—
38#16839643—21no—
39#16839641—21no—
40#16839627C2211yescharacteristic
41#16839622C2211yescharacteristic
42#16839619C2211yescharacteristic
43C4⋊C4×Dic61C2211yescharacteristic
44C4×C22⋊Dic61—21no—
45#16839525C2211yescharacteristic
46#16839525C2211yescharacteristic
47#16839525C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839524C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54#16839524C2211yescharacteristic
55C2×C22⋊Q8×C61C2211yescharacteristic
56C22×C4⋊C4×C61C2211yescharacteristic
57C2×#103×C61C2211yescharacteristic
58C2×#103×C61C2211yescharacteristic
59C2×C22⋊C8×C61C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C22×C22⋊D61D411yescharacteristic
63C23×Dic61—21no—
64C22×C4×D61C2311yescharacteristic
65C22×#92418—22no—
66C22×#92418—22no—
67C22×#92418—41no—
68C22×#92418C2311yescharacteristic
69C22×#92418C2311yescharacteristic
70C2×C8×D61—22no—
71C2×C8×D61—22no—
72C2×C8×D61—41no—
73#14519772—28no—
74#14519768—28no—
75#14519768—22no—
76#14519768C2×C414yescomplemented
77#14519761—28no—
78#14519753—22no—
79#14519753C2×C414yescomplemented
80Q8×Dic61—22no—
81Q8×Dic61C2×C414yescomplemented
82C4×C22⋊D61C2×C414yes—
83C4×C22⋊D61D414yes—
84#14519735—22no—
85#14519735—22no—
86#14519735—41no—
87#14519735C2×C414yescomplemented
88#14519733—28no—
89C2×C4⋊Dic61—22no—
90C2×C4⋊Dic61—21no—
91C2×C4⋊Dic61—21no—
92C2×C4⋊Dic61—21no—
93C2×C4⋊Dic61C2×C414yes—
94C2×C4⋊Dic61C2311yescharacteristic
95C2×C4⋊Dic61C2311yescharacteristic
96C2×C4⋊Dic61C2311yescharacteristic
97C2×C4⋊Dic61C2311yescharacteristic
98C2×#11758196—21no—
99C2×#11758196—21no—
100C2×#11758196D411yescharacteristic
101C2×C22⋊Dic61—21no—
102C2×C22⋊Dic61D411yescharacteristic
103C2×#11758198—21no—
104C2×#11758198—21no—
105C2×#11758198—21no—
106C2×#11758198—21no—
107C2×#11758198D411yescharacteristic
108C2×C4×Dic61—21no—
109C2×C4×Dic61—21no—
110C2×C4×Dic61—21no—
111C2×C4×Dic61—21no—
112C2×C4×Dic61C2311yescharacteristic
113#14519706—22no—
114#14519701—22no—
115#14519701—41no—
116#14519689—22no—
117C8×Dic61—22no—
118#14519684—21no—
119#14519684—21no—
120#14519684—21no—
121#14519684—21no—
122#14519684—21no—
123C22×Q8×C61C2311yescharacteristic
124C23×C4×C61—21no—
125C23×C4×C61C2311yescharacteristic
126C22×C8×C61C2311yescharacteristic
127C22×C8×C61C2311yescharacteristic
128C22⋊Q8×C61—22no—
129C22⋊Q8×C61C2×C414yes—
130C2×C4⋊C4×C61—21no—
131C2×C4⋊C4×C61—22no—
132C2×C4⋊C4×C61—21no—
133C2×C4⋊C4×C61—41no—
134C2×C4⋊C4×C61C2311yescharacteristic
135C2×C4⋊C4×C61C2311yescharacteristic
136C2×C4⋊C4×C61C2311yescharacteristic
137C2×C22⋊C4×C61—21no—
138#103×C61—22no—
139#103×C61—41no—
140C22⋊C8×C61—22no—
141C24×C61C2×D411yescharacteristic
142C23×D61C2×D411yescharacteristic
143C2×Q8×C61—21no—
144C2×Q8×C61—21no—
145C2×Q8×C61—21no—
146C2×Q8×C61—21no—
147C2×Q8×C61—21no—
148C2×Q8×C61C22×C412yes—
149C22×C4×C61—21no—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—21no—
155C22×C4×C61—21no—
156C22×C4×C61—21no—
157C22×C4×C61—42no—
158C22×C4×C61—42no—
159C22×C4×C61—81no—
160C22×C4×C61C22×C412yes—
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2×D412yes—
163C22×C4×C61C2411yescharacteristic
164C2×C22⋊D61—22no—
165C2×C22⋊D61—22no—
166C2×C22⋊D61C22⋊C414yes—
167C22×Dic61—24no—
168C22×Dic61—21no—
169C22×Dic61—21no—
170C22×Dic61—21no—
171C22×Dic61—21no—
172C22×Dic61—42no—
173C22×Dic61—42no—
174C22×Dic61C2×D411yescharacteristic
175C22×Dic61C2×D411yescharacteristic
176C22×Dic61C2×D411yescharacteristic
177C2×C4×D61—21no—
178C2×C4×D61—21no—
179C2×C4×D61—21no—
180C2×C4×D61—21no—
181C2×C4×D61C22×C412yes—
182C2×C4×D61C2×D412yes—
183C2×C8×C61—21no—
184C2×C8×C61—21no—
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C4⋊C4×C61—24no—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—42no—
195C4⋊C4×C61C22×C412yes—
196C4⋊C4×C61#4112yes—
197C22⋊C4×C61—24no—
198C22⋊Dic61—42no—
199C22⋊Dic61C22⋊C414yes—
200#11758198—24no—
201#11758198—24no—
202#11758198—42no—
203#11758198—81no—
204#11758198C22⋊C414yes—
205C4⋊Dic61—24no—
206C4⋊Dic61—21no—
207C4⋊Dic61—21no—
208C4⋊Dic61—24no—
209C4⋊Dic61—24no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61C22×C412yes—
215C4⋊Dic61C22×C412yes—
216#11758196—24no—
217#11758196—24no—
218#11758196C22⋊C414yes—
219C4×Dic61—24no—
220C4×Dic61—24no—
221C4×Dic61—42no—
222C4×Dic61—81no—
223C4×Dic61C22×C412yes—
224C4×Dic61C2×D412yes—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—44no—
231C2×#92418#4112yes—
232C8×D61—44no—
233C23×C61—21no—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61—21no—
237C23×C61C2×C22⋊C412yes—
238C23×C61#13512yes—
239C23×C61#13512yes—
240C23×C61C22×D411yescharacteristic
241C22×D61—21no—
242C22×D61—21no—
243C22×D61—21no—
244C22×D61—21no—
245C22×D61—21no—
246C22×D61—21no—
247C22×D61C2×C22⋊C412yes—
248Q8×C61—22no—
249Q8×C61—22no—
250Q8×C61—41no—
251Q8×C61—41no—
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—22no—
259C2×C4×C61—22no—
260C2×C4×C61—22no—
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—84no—
271C2×C4×C61C2×C22⋊C412yes—
272C2×C4×C61C23×C411yescharacteristic
273C2×C4×C61C22×D411yescharacteristic
274C2×C4×C61C2×#4111yescharacteristic
275C2×C4×C61C2×#4111yescharacteristic
276C2×C4×C61H(5,𝔽2)11yescharacteristic
277C2×C4×C612−1+411yescharacteristic
278C22⋊D61—28no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—22no—
286C2×Dic61—22no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—48no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61C2×C22⋊C412yes—
299C2×Dic61C2×C22⋊C412yes—
300C2×Dic61C2×C22⋊C412yes—
301C4×D61—22no—
302C4×D61—22no—
303C4×D61—22no—
304C4×D61—22no—
305C8×C61—41no—
306C8×C61—41no—
307#92418—22no—
308#92418—41no—
309#22486—611nomaximal, Sylow
310C22×C61—22no—
311C22×C61—22no—
312C22×C61—22no—
313C22×C61—22no—
314C22×C61—22no—
315C22×C61—22no—
316C22×C61#41614yes—
317C22×C61C22×C22⋊C411yescharacteristic
318C22×C61#54611yescharacteristic
319C22×C61#54711yescharacteristic
320C22×C61C2×#13511yescharacteristic
321C22×C61C2×#13511yescharacteristic
322C22×C61#57711yescharacteristic
323C22×C61#57811yescharacteristic
324C2×D61—22no—
325C2×D61—22no—
326C2×D61—22no—
327C2×D61—41no—
328C2×D61—41no—
329C2×D61—41no—
330C2×D61—41no—
331C4×C61—22no—
332C4×C61—42no—
333C4×C61—42no—
334C4×C61—42no—
335C4×C61—81no—
336C4×C61C4×#4111yescharacteristic
337C4×C61#52011yescharacteristic
338C4×C61#54611yescharacteristic
339C4×C61#54711yescharacteristic
340Dic61—22no—
341Dic61—22no—
342Dic61—22no—
343Dic61—42no—
344Dic61—42no—
345Dic61—81no—
346Dic61—81no—
347C2×#552—611no—
348C2×C8×D4—611no—
349#2352—611no—
350#1991—611no—
351#1989—611no—
352#1892—611no—
353#1892—611no—
354#1873—611no—
355#1872D6111yescharacteristic, complemented
356#1825—611no—
357#1823—611no—
358#1805—611no—
359C4×#103—611no—
360#1735—611no—
361C2×#340—611no—
362C2×C61—24no—
363C2×C61#233911yescharacteristic
364C2×C61C2×#41611yescharacteristic
365C2×C61#289811yescharacteristic
366C2×C61#329611yescharacteristic
367C2×C61#330011yescharacteristic
368C2×C61#333611yescharacteristic
369C2×C61#333711yescharacteristic
370D61—42no—
371C23×C8—611no—
372C23×C8—611no—
373#552—618no—
374#552—1224no—
375C2×#126—1221no—
376C2×#125—611no—
377C2×#125—1221no—
378C2×#123—1221no—
379C2×C22⋊Q8—611no—
380C2×C22⋊Q8C2×D6111yescharacteristic
381C2×C4×Q8—611no—
382C2×C4×D4—611no—
383C2×#117—611no—
384C2×#117—611no—
385C2×#117—1221no—
386C22×C4⋊C4—611no—
387C22×C4⋊C4C2×D6111yescharacteristic
388C8×D4—1224no—
389C2×C4⋊C8—611no—
390C2×#103—611no—
391C2×#103—611no—
392C2×#103C2×D6111yescharacteristic
393C2×#103C2×D6111yescharacteristic
394C2×C22⋊C8—611no—
395C2×C22⋊C8C2×D6111yescharacteristic
396C2×C4×C8—611no—
397#388—1221no—
398#387—1221no—
399#386—1221no—
400#382—611no—
401#380—611no—
402#380—611no—
403C4×C4⋊C4—611no—
404C4×C22⋊C4—1221no—
405#340—611no—
406#340—611no—
407#340—611no—
408#340—611no—
409#340—611no—
410#340—611no—
411#340—611no—
412#340—611no—
413#340—611no—
414#340—611no—
415#340C2×D6111yescharacteristic
416#340C2×D6111yescharacteristic
417C61#2248611yescharacteristic, complemented, Sylow
418C22×Q8C22×D6111yescharacteristic
419C22×D4—611no—
420C23×C4—21no—
421C23×C4—611no—
422C23×C4—1221no—
423C23×C4C22×D6111yescharacteristic
424C22×C8—611no—
425C22×C8—611no—
426C22×C8—1222no—
427C22×C8—1222no—
428C22×C8—1222no—
429C22×C8—1222no—
430C22×C8—2441no—
431C22×C8—2441no—
432C22×C8C22×D6111yescharacteristic
433C22×C8C22×D6111yescharacteristic
434#126—1228no—
435#125—614no—
436#125—1222no—
437#125—1228no—
438#123—1228no—
439C22⋊Q8—22no—
440C22⋊Q8—614no—
441C22⋊Q8—1222no—
442C22⋊Q8C4×D6114yes—
443C4×Q8—614no—
444C4×Q8—1222no—
445C4×D4—614no—
446C4×D4—614no—
447#117—614no—
448#117—1228no—
449#117—1222no—
450#117—1222no—
451#117—2441no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—22no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—41no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—614no—
458C2×C4⋊C4—611no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—611no—
461C2×C4⋊C4—611no—
462C2×C4⋊C4—1221no—
463C2×C4⋊C4—1221no—
464C2×C4⋊C4—1221no—
465C2×C4⋊C4—1221no—
466C2×C4⋊C4—1221no—
467C2×C4⋊C4—1222no—
468C2×C4⋊C4C22×D6111yescharacteristic
469C2×C4⋊C4C22×D6111yescharacteristic
470C2×C4⋊C4C22×D6111yescharacteristic
471C2×C22⋊C4—21no—
472C2×C22⋊C4—611no—
473C2×C22⋊C4—611no—
474C2×C22⋊C4—1221no—
475C2×C22⋊C4—1221no—
476C2×C22⋊C4—1221no—
477C2×C22⋊C4—1221no—
478C2×C22⋊C4—1221no—
479C2×C42—611no—
480C2×C42—1221no—
481C2×C42—1221no—
482C2×C42—1221no—
483C2×C42—1221no—
484C4⋊C8—1222no—
485#103—22no—
486#103—41no—
487#103—1222no—
488#103—2441no—
489C22⋊C8—22no—
490C22⋊C8—1222no—
491C4×C8—1222no—
492#95—1221no—
493#95—1221no—
494#95—1221no—
495#95—1221no—
496#95—1221no—
497C24—611no—
498C24D4×D6111yescharacteristic
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8C2×C4×D6112yes—
505C2×D4—614no—
506C2×D4—1222no—
507C2×D4—1222no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—81no—
519C22×C4—611no—
520C22×C4—611no—
521C22×C4—611no—
522C22×C4—612no—
523C22×C4—612no—
524C22×C4—1221no—
525C22×C4—1221no—
526C22×C4—1221no—
527C22×C4—1221no—
528C22×C4—1221no—
529C22×C4—1221no—
530C22×C4—1224no—
531C22×C4—1221no—
532C22×C4—1221no—
533C22×C4—2442no—
534C22×C4—2442no—
535C22×C4C2×C4×D6112yes—
536C22×C4D4×D6112yes—
537C22×C4D4×D6111yescharacteristic
538C22×C4C23×D6111yescharacteristic
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—612no—
546C2×C8—1221no—
547C2×C8—1221no—
548C2×C8—1221no—
549C2×C8—1221no—
550C2×C8—1221no—
551C2×C8—2444no—
552C2×C8—2444no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—24no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—42no—
559C4⋊C4—614no—
560C4⋊C4—612no—
561C4⋊C4—612no—
562C4⋊C4—1224no—
563C4⋊C4—1224no—
564C4⋊C4—1224no—
565C4⋊C4—1224no—
566C4⋊C4—1221no—
567C4⋊C4—1221no—
568C4⋊C4—1224no—
569C4⋊C4—1221no—
570C4⋊C4—1221no—
571C4⋊C4—1221no—
572C4⋊C4—1221no—
573C4⋊C4C2×C4×D6112yes—
574C4⋊C4#1175822412yes—
575C22⋊C4—24no—
576C22⋊C4—614no—
577C22⋊C4—614no—
578C22⋊C4—1224no—
579C22⋊C4—1224no—
580C22⋊C4—4881no—
581C22⋊C4—2442no—
582C22⋊C4—2442no—
583C42—612no—
584C42—612no—
585C42—1224no—
586C42—1224no—
587C42—4881no—
588C42—2442no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—612no—
594C23—1221no—
595C23—1221no—
596C23—1221no—
597C23—1221no—
598C23—1221no—
599C23—1221no—
600C23C22⋊C4×D6112yes—
601C23#1451979812yes—
602C23#1451980012yes—
603C23C2×D4×D6111yescharacteristic
604Q8—22no—
605Q8—22no—
606Q8—41no—
607Q8—41no—
608D4—1228no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—84no—
628C2×C4—612no—
629C2×C4—612no—
630C2×C4—612no—
631C2×C4—1221no—
632C2×C4—1221no—
633C2×C4—1221no—
634C2×C4—1221no—
635C2×C4—1221no—
636C2×C4—1221no—
637C2×C4—1222no—
638C2×C4—1222no—
639C2×C4—1222no—
640C2×C4—1222no—
641C2×C4—1222no—
642C2×C4—1222no—
643C2×C4—2441no—
644C2×C4—2441no—
645C2×C4—2441no—
646C2×C4—2441no—
647C2×C4—2441no—
648C2×C4—2441no—
649C2×C4—2448no—
650C2×C4—2441no—
651C2×C4—2441no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4C22⋊C4×D6112yes—
655C2×C4C22×C4×D6111yescharacteristic
656C2×C4C2×D4×D6111yescharacteristic
657C2×C4#41×D6111yescharacteristic
658C2×C4C2×#1175822411yescharacteristic
659C2×C4#1451982211yescharacteristic
660C2×C4#1451982411yescharacteristic
661C8—41no—
662C8—41no—
663C8—1222no—
664C8—2441no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—1222no—
672C22—1222no—
673C22—1222no—
674C22—2441no—
675C22—2441no—
676C22—2441no—
677C22—2441no—
678C22#1683975714yes—
679C22C2×C22⋊C4×D6111yescharacteristic
680C22#1684039911yescharacteristic
681C22#1684041011yescharacteristic
682C22C2×#1451979811yescharacteristic
683C22C2×#1451980011yescharacteristic
684C22#1684057211yescharacteristic
685C22#1684057811yescharacteristic
686C4—22no—
687C4—42no—
688C4—42no—
689C4—42no—
690C4—81no—
691C4—1222no—
692C4—1222no—
693C4—1222no—
694C4—4881no—
695C4—4881no—
696C4—2442no—
697C4—2442no—
698C4C4×#1175822411yescharacteristic
699C4#1684024111yescharacteristic
700C4#1684040111yescharacteristic
701C4#1684041211yescharacteristic
702C2—24no—
703C2—2442no—
704C2#2144864511yescharacteristic
705C2C2×#1683975711yescharacteristic
706C2#2145435011yescharacteristic
707C2#2145765811yescharacteristic
708C2#2145771011yescharacteristic
709C2#2145818511yescharacteristic
710C2#2145819611yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1872C2
socleC23×C61C22×D4
prime radicalC22×C22⋊D61D4
cosocleC22×C4×C61C24
hypercenter#1872D61
hypocenterC61#22486
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1872

Complements

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

NH ≅ G/Ntype
4. #21446782C2semidirect
5. #21446773C2semidirect
6. #21446243C2semidirect
7. #21446239C2semidirect
8. #21446128C2semidirect
9. #21445913C2semidirect
10. #21445906C2semidirect
11. #21445832C2semidirect
12. #103×Dic61C2semidirect
13. #21445534C2semidirect
14. C2×#16839524C2semidirect
15. C61×#1872C2semidirect
19. #16840454C4semidirect
76. #14519768C2×C4semidirect
79. #14519753C2×C4semidirect
81. Q8×Dic61C2×C4semidirect
87. #14519735C2×C4semidirect
355. #1872D61semidirect
417. C61#22486semidirect

Maximal subgroups

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

subgroupindex
C2×#168404542
C2×#168398252
#214487442
#214467822
#214467732
#214462432
#214462392
#214461282
#214459132
#214459062
#214458322
#103×Dic612
#214455342
C2×#168395242
C61×#18722
#2248661