Finite Group Databasebeta

← #29689410

Subgroups — #29689410

Order 15616.

1352 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840308C211yesmaximal, characteristic
2#21454448C211yesmaximal, characteristic, complemented
3#21448213C211yesmaximal, characteristic, complemented
4#21446736C214yesmaximal, complemented
5#21446649C214yesmaximal, complemented
6#21445764C211yesmaximal, characteristic, complemented
7#21445763C211yesmaximal, characteristic, complemented
8#21445762C211yesmaximal, characteristic, complemented
9C61×#1789C211yesmaximal, characteristic, complemented
10C22×#11758222C2211yescharacteristic
11#16840308—21no—
12#16840308—21no—
13#16840308—21no—
14#16840308—21no—
15#16840308C412yescomplemented
16#16840308C412yescomplemented
17#16840308C2212yes—
18#16840308C2212yes—
19C2×#14519775C411yescharacteristic, complemented
20C2×#14519773C411yescharacteristic, complemented
21C2×#14519766C411yescharacteristic, complemented
22C2×#14519764C411yescharacteristic, complemented
23C2×#14519749—21no—
24C2×#14519749—21no—
25C2×C4×C22⋊D61—21no—
26C2×C4×C22⋊D61—21no—
27C22×C4×Dic61C2211yescharacteristic
28#16839816—21no—
29#16839816—21no—
30#16839812—21no—
31#16839812—21no—
32#16839785C2212yescomplemented
33C2×#14519705C2214yescomplemented
34C2×#14519704C2214yescomplemented
35C2×#14519703C2214yescomplemented
36#16839726C2211yescharacteristic
37M16×Dic61C2212yescomplemented
38#16839629—21no—
39#16839626—21no—
40#16839623—21no—
41#16839620—21no—
42C4×#11758196C2212yescomplemented
43C4×C22⋊Dic61C2211yescharacteristic
44#16839608C2212yescomplemented
45C22×#41×C61C2211yescharacteristic
46C2×#104×C61C2214yescomplemented
47C61×#407C2211yescharacteristic
48C4×C22⋊C4×C61C2211yescharacteristic
49C2×#11758222—21no—
50C2×#11758222—21no—
51C2×#11758222—44no—
52C2×#11758222C2×C412yes—
53C2×#11758222C2312yes—
54C22×Dic122C2×C411yescharacteristic
55C22×D244C2×C411yescharacteristic
56C22×C22⋊D61—21no—
57C22×C22⋊D61—21no—
58C22×C22⋊D61—21no—
59C23×Dic61D411yescharacteristic
60C23×Dic61D411yescharacteristic
61C22×C4×D61—21no—
62C2×#11758194C2312yes—
63#14519775—21no—
64#14519775—21no—
65#14519775C2×C412yes—
66#14519775C2×C412yes—
67#14519773—21no—
68#14519773—21no—
69#14519773C2×C412yes—
70#14519773C2×C412yes—
71#14519766—21no—
72#14519766—21no—
73#14519766C2×C412yes—
74#14519766C2×C412yes—
75#14519764—21no—
76#14519764—21no—
77#14519764C2×C412yes—
78#14519764C2×C412yes—
79#14519749—22no—
80#14519749—22no—
81#14519749—22no—
82#14519749—22no—
83#14519749—22no—
84#14519749—22no—
85#14519749—22no—
86#14519749—22no—
87C4×C22⋊D61—22no—
88C4×C22⋊D61—22no—
89C4×C22⋊D61—22no—
90C4×C22⋊D61—22no—
91C4×C22⋊D61—22no—
92C4×C22⋊D61—22no—
93C4×C22⋊D61—22no—
94C4×C22⋊D61—22no—
95C2×#11758196—21no—
96C2×#11758196—21no—
97C2×#11758196—22no—
98C2×C22⋊Dic61—21no—
99C2×C22⋊Dic61—21no—
100C2×C22⋊Dic61—21no—
101C2×#11758198—21no—
102C2×#11758198—21no—
103C2×C4×Dic61C2×C411yescharacteristic
104C2×C4×Dic61C2×C411yescharacteristic
105C2×C4×Dic61C2×C411yescharacteristic
106C2×C4×Dic61C2×C411yescharacteristic
107C2×C4×Dic61D411yescharacteristic
108C2×C4×Dic61D411yescharacteristic
109C2×C4×Dic61D411yescharacteristic
110C2×C4×Dic61D411yescharacteristic
111C2×C4×Dic61D411yescharacteristic
112C2×C4×Dic61D411yescharacteristic
113C2×C4×Dic61C2312yes—
114C2×C4×Dic61C2311yescharacteristic
115C2×C4×Dic61C2311yescharacteristic
116#14519706—22no—
117#14519706—22no—
118#14519705—44no—
119#14519704—44no—
120#14519703—44no—
121C22⋊#92418—21no—
122C22⋊#92418—21no—
123#14519687—22no—
124C8×Dic61—22no—
125#14519684—21no—
126#14519684—22no—
127#14519684—22no—
128#14519684—22no—
129C2×#41×C61—21no—
130C2×#41×C61—21no—
131C2×#41×C61—44no—
132C2×#41×C61C2×C412yes—
133C2×#41×C61C2312yes—
134C22×Q8×C61C2×C411yescharacteristic
135C22×D4×C61—21no—
136C22×D4×C61C2×C411yescharacteristic
137C23×C4×C61—21no—
138C23×C4×C61C2311yescharacteristic
139C2×M16×C61C2312yes—
140C2×C22⋊C4×C61—21no—
141C2×C42×C61C2312yes—
142#104×C61—44no—
143C22⋊C8×C61—21no—
144C22⋊C8×C61—21no—
145#95×C61—21no—
146C24×C61—21no—
147C24×C61C2×D411yescharacteristic
148C23×D61—21no—
149#41×C61—24no—
150#41×C61—24no—
151#41×C61—42no—
152#41×C61—42no—
153#41×C61—44no—
154#41×C61—44no—
155C2×Q8×C61—21no—
156C2×Q8×C61—42no—
157C2×Q8×C61C22×C412yes—
158C2×D4×C61—22no—
159C2×D4×C61—22no—
160C2×D4×C61—21no—
161C2×D4×C61—42no—
162C2×D4×C61—44no—
163C2×D4×C61C22×C412yes—
164C22×C4×C61—24no—
165C22×C4×C61—21no—
166C22×C4×C61—22no—
167C22×C4×C61—22no—
168C22×C4×C61—22no—
169C22×C4×C61—44no—
170C22×C4×C61C22×C411yescharacteristic
171C22×C4×C61C22×C411yescharacteristic
172C22×C4×C61C2×D411yescharacteristic
173C22×C4×C61C2×D411yescharacteristic
174C22×C4×C61C2×D411yescharacteristic
175C22×C4×C61C2411yescharacteristic
176C2×C22⋊D61—22no—
177C2×C22⋊D61—22no—
178C2×C22⋊D61—22no—
179C2×C22⋊D61—22no—
180C2×C22⋊D61—22no—
181C2×C22⋊D61—22no—
182C2×C22⋊D61—44no—
183C2×C22⋊D61—44no—
184C2×C22⋊D61—44no—
185C22×Dic61—21no—
186C22×Dic61—22no—
187C22×Dic61—42no—
188C22×Dic61—42no—
189C22×Dic61C22⋊C411yescharacteristic
190C22×Dic61C22⋊C411yescharacteristic
191C22×Dic61C22⋊C411yescharacteristic
192C22×Dic61C22⋊C411yescharacteristic
193C22×Dic61C22⋊C411yescharacteristic
194C22×Dic61C22⋊C411yescharacteristic
195C22×Dic61C22⋊C411yescharacteristic
196C22×Dic61C22⋊C411yescharacteristic
197C22×Dic61C2×D411yescharacteristic
198C22×Dic61C2×D411yescharacteristic
199C22×Dic61C2×D411yescharacteristic
200C22×Dic61C2×D411yescharacteristic
201#11758222—24no—
202#11758222—24no—
203#11758222—42no—
204#11758222—42no—
205#11758222—44no—
206#11758222—44no—
207C2×D244—21no—
208C2×D244—42no—
209C2×D244C22×C412yes—
210C2×C4×D61—22no—
211C2×C4×D61—22no—
212C2×C4×D61—44no—
213C2×Dic122—21no—
214C2×Dic122—42no—
215C2×Dic122C22×C412yes—
216M16×C61—24no—
217C2×C8×C61—22no—
218C22⋊C4×C61—42no—
219C42×C61—24no—
220C22⋊Dic61—22no—
221C22⋊Dic61—22no—
222C22⋊Dic61—22no—
223C22⋊Dic61—22no—
224C22⋊Dic61—42no—
225#11758198—22no—
226#11758198—22no—
227#11758198—22no—
228#11758198—22no—
229#11758196—22no—
230#11758196—22no—
231#11758196—22no—
232#11758196—22no—
233#11758196—44no—
234C4×Dic61—24no—
235C4×Dic61C22⋊C411yescharacteristic
236C4×Dic61C22⋊C411yescharacteristic
237C4×Dic61C22⋊C411yescharacteristic
238C4×Dic61C22⋊C411yescharacteristic
239C4×Dic61C22⋊C411yescharacteristic
240C4×Dic61C22⋊C411yescharacteristic
241C4×Dic61C22⋊C411yescharacteristic
242C4×Dic61C22⋊C411yescharacteristic
243C4×Dic61C22×C411yescharacteristic
244C4×Dic61C22×C411yescharacteristic
245C4×Dic61C22×C411yescharacteristic
246C4×Dic61C22×C411yescharacteristic
247C4×Dic61C2×D411yescharacteristic
248C4×Dic61C2×D411yescharacteristic
249C4×Dic61C2×D411yescharacteristic
250C4×Dic61C2×D411yescharacteristic
251#11758194—24no—
252C2×#92418—22no—
253C23×C61—22no—
254C23×C61—22no—
255C23×C61—22no—
256C23×C61—41no—
257C23×C61—42no—
258C23×C61—42no—
259C23×C61—42no—
260C23×C61C2×C22⋊C411yescharacteristic
261C23×C61C2×C22⋊C411yescharacteristic
262C23×C61C22×D411yescharacteristic
263C22×D61—22no—
264C22×D61—42no—
265C22×D61—42no—
266C22×D61—42no—
267Q8×C61—22no—
268Q8×C61—22no—
269Q8×C61—42no—
270D4×C61—22no—
271D4×C61—22no—
272D4×C61—42no—
273D4×C61—44no—
274D4×C61—44no—
275C2×C4×C61—22no—
276C2×C4×C61—22no—
277C2×C4×C61—22no—
278C2×C4×C61—22no—
279C2×C4×C61—22no—
280C2×C4×C61—22no—
281C2×C4×C61—44no—
282C2×C4×C61—42no—
283C2×C4×C61—44no—
284C2×C4×C61—42no—
285C2×C4×C61—42no—
286C2×C4×C61—42no—
287C2×C4×C61C2×C22⋊C411yescharacteristic
288C2×C4×C61C2×C22⋊C411yescharacteristic
289C2×C4×C61C23×C411yescharacteristic
290C2×C4×C61C22×D411yescharacteristic
291C2×C4×C61H(5,𝔽2)14yes—
292C22⋊D61—44no—
293C22⋊D61—44no—
294C22⋊D61—44no—
295C22⋊D61—44no—
296C22⋊D61—44no—
297C22⋊D61—44no—
298C2×Dic61—22no—
299C2×Dic61—22no—
300C2×Dic61—22no—
301C2×Dic61—22no—
302C2×Dic61—22no—
303C2×Dic61—22no—
304C2×Dic61—41no—
305C2×Dic61—41no—
306C2×Dic61—41no—
307C2×Dic61—41no—
308C2×Dic61—41no—
309C2×Dic61—41no—
310C2×Dic61—41no—
311C2×Dic61—42no—
312C2×Dic61—42no—
313C2×Dic61—42no—
314C2×Dic61—42no—
315C2×Dic61C2×C22⋊C411yescharacteristic
316C2×Dic61C2×C22⋊C411yescharacteristic
317C2×Dic61C2×C22⋊C411yescharacteristic
318C2×Dic61C2×C22⋊C411yescharacteristic
319C2×Dic61C2×C22⋊C411yescharacteristic
320C2×Dic61C2×C22⋊C411yescharacteristic
321C2×Dic61C2×C22⋊C411yescharacteristic
322C2×Dic61C2×C22⋊C411yescharacteristic
323D244—22no—
324D244—22no—
325D244—42no—
326C4×D61—44no—
327C4×D61—44no—
328Dic122—22no—
329Dic122—22no—
330Dic122—42no—
331C8×C61—42no—
332#92418—42no—
333#21816—611nomaximal, Sylow
334C22×C61—21no—
335C22×C61—21no—
336C22×C61—21no—
337C22×C61—21no—
338C22×C61—21no—
339C22×C61—21no—
340C22×C61—21no—
341C22×C61—44no—
342C22×C61—42no—
343C22×C61—42no—
344C22×C61—42no—
345C22×C61—84no—
346C22×C61#42112yes—
347C22×C61C22×C22⋊C411yescharacteristic
348C22×C61#53512yes—
349C2×D61—42no—
350C2×D61—42no—
351C2×D61—42no—
352C2×D61—84no—
353C4×C61—21no—
354C4×C61—21no—
355C4×C61—42no—
356C4×C61—82no—
357C4×C61#51812yes—
358C4×C61#53512yes—
359Dic61—21no—
360Dic61—21no—
361Dic61—21no—
362Dic61—21no—
363Dic61—21no—
364Dic61—21no—
365Dic61—21no—
366Dic61—42no—
367Dic61—82no—
368Dic61#42112yes—
369C2×#532—611no—
370#2920—611no—
371#2283—611no—
372#1980—614no—
373#1963—614no—
374#1789—611no—
375#1789—611no—
376#1789—611no—
377#1789D6111yescharacteristic, complemented
378C2×C61—22no—
379C2×C61—22no—
380C2×C61—41no—
381C2×C61—82no—
382C2×C61#230911yescharacteristic
383C2×C61C2×#42111yescharacteristic
384C2×C61C2×#42111yescharacteristic
385D61—82no—
386C22×#41—611no—
387C22×#41C2×D6111yescharacteristic
388#532—612no—
389#532—612no—
390#532—612no—
391#532—612no—
392#532—1221no—
393#532—1221no—
394#532—1221no—
395#532—1221no—
396C2×C4⋊Q8—611no—
397C2×#127—611no—
398C2×#124—611no—
399C2×#124—611no—
400C2×#121—1221no—
401C2×#121—1221no—
402C2×C4×D4—1221no—
403C2×C4×D4—1221no—
404C22×C42—611no—
405#432—1221no—
406#432—1221no—
407#431—1221no—
408#431—1221no—
409#423—612no—
410C2×#104—614no—
411C2×#104—614no—
412C2×#104—614no—
413C2×#104C2×D6114yescomplemented
414#407—611no—
415#407C2×D6111yescharacteristic
416C4×M16—612no—
417#383—1221no—
418#382—1221no—
419#381—1221no—
420#380—1221no—
421C4×C4⋊C4—612no—
422C4×C22⋊C4—611no—
423C4×C22⋊C4C2×D6111yescharacteristic
424#376—612no—
425C61#2181611yescharacteristic, complemented, Sylow
426C2×#41—21no—
427C2×#41—21no—
428C2×#41—44no—
429C2×#41—612no—
430C2×#41—612no—
431C2×#41—1221no—
432C2×#41—1221no—
433C2×#41—2444no—
434C2×#41C4×D6112yes—
435C2×#41C22×D6112yes—
436C22×Q8—611no—
437C22×Q8C4×D6111yescharacteristic
438C22×D4—21no—
439C22×D4—611no—
440C22×D4—1221no—
441C22×D4—1221no—
442C22×D4—1221no—
443C22×D4C4×D6111yescharacteristic
444C23×C4—21no—
445C23×C4—611no—
446C23×C4—611no—
447C23×C4—1221no—
448C23×C4C22×D6111yescharacteristic
449C2×M16—612no—
450C2×M16C22×D6112yes—
451C4⋊Q8—612no—
452C4⋊Q8—612no—
453C4⋊Q8—1221no—
454C4⋊Q8—1221no—
455#127—612no—
456#127—612no—
457#127—1221no—
458#127—1221no—
459#124—612no—
460#124—612no—
461#124—612no—
462#124—612no—
463#124—1221no—
464#124—1221no—
465#124—1221no—
466#124—1221no—
467#121—1222no—
468#121—1222no—
469#121—1222no—
470#121—1222no—
471#121—1222no—
472#121—1222no—
473#121—1222no—
474#121—1222no—
475C4×D4—1222no—
476C4×D4—1222no—
477C4×D4—1222no—
478C4×D4—1222no—
479C4×D4—1222no—
480C4×D4—1222no—
481C4×D4—1222no—
482C4×D4—1222no—
483C2×C4⋊C4—1221no—
484C2×C4⋊C4—1221no—
485C2×C4⋊C4—1222no—
486C2×C22⋊C4—21no—
487C2×C22⋊C4—1221no—
488C2×C22⋊C4—1221no—
489C2×C22⋊C4—1221no—
490C2×C22⋊C4—1221no—
491C2×C22⋊C4—1221no—
492C2×C42—611no—
493C2×C42—611no—
494C2×C42—611no—
495C2×C42—611no—
496C2×C42—611no—
497C2×C42—611no—
498C2×C42—611no—
499C2×C42—611no—
500C2×C42—611no—
501C2×C42—611no—
502C2×C42—611no—
503C2×C42—611no—
504C2×C42—612no—
505C2×C42C22×D6112yes—
506C4⋊C8—1222no—
507C4⋊C8—1222no—
508#104—44no—
509#104—2444no—
510#104—2444no—
511#104—2444no—
512C22⋊C8—21no—
513C22⋊C8—21no—
514C22⋊C8—1221no—
515C22⋊C8—1221no—
516#97—1222no—
517C4×C8—1222no—
518#95—21no—
519#95—1222no—
520#95—1222no—
521#95—1222no—
522#95—1221no—
523C24—21no—
524C24—1221no—
525C24D4×D6111yescharacteristic
526#41—24no—
527#41—24no—
528#41—42no—
529#41—42no—
530#41—44no—
531#41—44no—
532#41—1224no—
533#41—1224no—
534#41—2442no—
535#41—2442no—
536#41—2444no—
537#41—2444no—
538C2×Q8—21no—
539C2×Q8—42no—
540C2×Q8—612no—
541C2×Q8—1221no—
542C2×Q8—2442no—
543C2×Q8C2×C4×D6112yes—
544C2×D4—22no—
545C2×D4—22no—
546C2×D4—21no—
547C2×D4—42no—
548C2×D4—44no—
549C2×D4—612no—
550C2×D4—1222no—
551C2×D4—1222no—
552C2×D4—1222no—
553C2×D4—1222no—
554C2×D4—1222no—
555C2×D4—1222no—
556C2×D4—1221no—
557C2×D4—2442no—
558C2×D4—2444no—
559C2×D4—2444no—
560C2×D4—2444no—
561C2×D4C2×C4×D6112yes—
562C22×C4—24no—
563C22×C4—21no—
564C22×C4—22no—
565C22×C4—22no—
566C22×C4—22no—
567C22×C4—44no—
568C22×C4—611no—
569C22×C4—611no—
570C22×C4—611no—
571C22×C4—611no—
572C22×C4—611no—
573C22×C4—611no—
574C22×C4—611no—
575C22×C4—611no—
576C22×C4—611no—
577C22×C4—611no—
578C22×C4—611no—
579C22×C4—611no—
580C22×C4—1221no—
581C22×C4—1222no—
582C22×C4—1222no—
583C22×C4—1222no—
584C22×C4—2444no—
585C22×C4—2442no—
586C22×C4—2442no—
587C22×C4C2×C4×D6111yescharacteristic
588C22×C4C2×C4×D6111yescharacteristic
589C22×C4D4×D6111yescharacteristic
590C22×C4D4×D6111yescharacteristic
591C22×C4D4×D6111yescharacteristic
592C22×C4C23×D6111yescharacteristic
593M16—24no—
594M16—1224no—
595C2×C8—22no—
596C2×C8—1222no—
597C4⋊C4—1222no—
598C4⋊C4—1222no—
599C4⋊C4—1222no—
600C4⋊C4—1222no—
601C4⋊C4—2444no—
602C22⋊C4—42no—
603C22⋊C4—1222no—
604C22⋊C4—1222no—
605C22⋊C4—1222no—
606C22⋊C4—1222no—
607C22⋊C4—1222no—
608C22⋊C4—1222no—
609C22⋊C4—1222no—
610C22⋊C4—1222no—
611C22⋊C4—2442no—
612C42—24no—
613C42—611no—
614C42—611no—
615C42—611no—
616C42—611no—
617C42—611no—
618C42—611no—
619C42—611no—
620C42—611no—
621C42—611no—
622C42—611no—
623C42—611no—
624C42—611no—
625C42—611no—
626C42—611no—
627C42—611no—
628C42—611no—
629C42—1224no—
630C23—22no—
631C23—22no—
632C23—22no—
633C23—41no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—1222no—
638C23—2442no—
639C23—2442no—
640C23—2442no—
641C23C22⋊C4×D6111yescharacteristic
642C23C22⋊C4×D6111yescharacteristic
643C23C2×D4×D6111yescharacteristic
644Q8—22no—
645Q8—22no—
646Q8—42no—
647Q8—1222no—
648Q8—1222no—
649Q8—2442no—
650D4—22no—
651D4—22no—
652D4—42no—
653D4—44no—
654D4—44no—
655D4—1222no—
656D4—1222no—
657D4—2442no—
658D4—2444no—
659D4—2444no—
660D4—2444no—
661D4—2444no—
662D4—2444no—
663D4—2444no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—44no—
671C2×C4—42no—
672C2×C4—44no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—611no—
677C2×C4—611no—
678C2×C4—611no—
679C2×C4—611no—
680C2×C4—611no—
681C2×C4—611no—
682C2×C4—611no—
683C2×C4—611no—
684C2×C4—1222no—
685C2×C4—1222no—
686C2×C4—1222no—
687C2×C4—1222no—
688C2×C4—1222no—
689C2×C4—1222no—
690C2×C4—2444no—
691C2×C4—2441no—
692C2×C4—2441no—
693C2×C4—2441no—
694C2×C4—2441no—
695C2×C4—2441no—
696C2×C4—2441no—
697C2×C4—2441no—
698C2×C4—2442no—
699C2×C4—2442no—
700C2×C4—2442no—
701C2×C4—2442no—
702C2×C4—2444no—
703C2×C4C22⋊C4×D6111yescharacteristic
704C2×C4C22⋊C4×D6111yescharacteristic
705C2×C4C22×C4×D6111yescharacteristic
706C2×C4C2×D4×D6111yescharacteristic
707C2×C4#1451982214yes—
708C8—42no—
709C8—2442no—
710C22—21no—
711C22—21no—
712C22—21no—
713C22—21no—
714C22—21no—
715C22—21no—
716C22—21no—
717C22—44no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—84no—
722C22—4884no—
723C22—2442no—
724C22—2442no—
725C22—2442no—
726C22#1683977712yes—
727C22C2×C22⋊C4×D6111yescharacteristic
728C22#1684032712yes—
729C4—21no—
730C4—21no—
731C4—42no—
732C4—82no—
733C4—612no—
734C4—1221no—
735C4—1221no—
736C4—1221no—
737C4—1221no—
738C4—1221no—
739C4—1221no—
740C4—1221no—
741C4—4882no—
742C4—2442no—
743C4#1684023512yes—
744C4#1684032712yes—
745C2—22no—
746C2—22no—
747C2—41no—
748C2—82no—
749C2—4882no—
750C2#2144840011yescharacteristic
751C2#421×D6111yescharacteristic
752C2C2×#1683977711yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1789C2
socleC22×C61C22×C22⋊C4
prime radicalC2×#16840308C2
cosocleC22×C4×C61C24
hypercenter#1789D61
hypocenterC61#21816
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #1789

Complements

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

NH ≅ G/Ntype
2. #21454448C2semidirect
3. #21448213C2semidirect
4. #21446736C2semidirect
5. #21446649C2semidirect
6. #21445764C2semidirect
7. #21445763C2semidirect
8. #21445762C2semidirect
9. C61×#1789C2semidirect
15. #16840308C4semidirect
16. #16840308C4semidirect
19. C2×#14519775C4semidirect
20. C2×#14519773C4semidirect
21. C2×#14519766C4semidirect
22. C2×#14519764C4semidirect
32. #16839785C22semidirect
33. C2×#14519705C22semidirect
34. C2×#14519704C22semidirect
35. C2×#14519703C22semidirect
37. M16×Dic61C22semidirect
42. C4×#11758196C22semidirect
44. #16839608C22semidirect
46. C2×#104×C61C22semidirect
377. #1789D61semidirect
413. C2×#104C2×D61semidirect
425. C61#21816semidirect

Maximal subgroups

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

subgroupindex
C2×#168403082
#214544482
#214482132
#214467362
#214466492
#214457642
#214457632
#214457622
C61×#17892
#2181661