Finite Group Databasebeta

← #30616068

Subgroups — #30616068

Order 15616.

846 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21462278C211yesmaximal, characteristic
2C4×Q8×#6923C211yesmaximal, characteristic
3#21461899C211yesmaximal, characteristic
4#21461898C211yesmaximal, characteristic
5#21461882C211yesmaximal, characteristic
6#21461881C211yesmaximal, characteristic
7#21461813C211yesmaximal, characteristic
8#21461813C211yesmaximal, characteristic
9#21461785C211yesmaximal, characteristic
10#21461783C211yesmaximal, characteristic
11#21461633C211yesmaximal, characteristic
12#21461591C211yesmaximal, characteristic
13#21461591C211yesmaximal, characteristic
14#21461535C211yesmaximal, characteristic
15#441×D61C211yesmaximal, characteristic
16C2×Q8×#6923C2211yescharacteristic
17C2×Q8×#6923C2211yescharacteristic
18C2×#14519846C2211yescharacteristic
19C2×#14519845C2211yescharacteristic
20C2×#14519840C2211yescharacteristic
21C2×#14519840C2211yescharacteristic
22C2×#14519840C2211yescharacteristic
23C2×#14519840C2211yescharacteristic
24#16840721C2211yescharacteristic
25(C2×#6923)⋊Q8C2211yescharacteristic
26(C2×#6923)⋊Q8C2211yescharacteristic
27#16840713C2211yescharacteristic
28#16840713C2211yescharacteristic
29#16840711—21no—
30#16840711—21no—
31C4⋊C4×#6923—21no—
32C4⋊C4×#6923—21no—
33C4⋊C4×#6923C2211yescharacteristic
34C4⋊C4×#6923C2211yescharacteristic
35C4×C4⋊#6923—21no—
36C4×C4⋊#6923—21no—
37C4×C4⋊#6923C2211yescharacteristic
38C4×C4⋊#6923C2211yescharacteristic
39#16840698—21no—
40C42×#6923—21no—
41C42×#6923C2211yescharacteristic
42#16840636C2211yescharacteristic
43#16840636C2211yescharacteristic
44#16840635C2211yescharacteristic
45#16840635C2211yescharacteristic
46#16840635C2211yescharacteristic
47#16840635C2211yescharacteristic
48(C2×#6923)⋊C8C2211yescharacteristic
49(C2×#6923)⋊C8C2211yescharacteristic
50(C2×#6923)⋊C8C2211yescharacteristic
51(C2×#6923)⋊C8C2211yescharacteristic
52C2×Q16×D61C2211yescharacteristic
53C4×Q8×D61C2211yescharacteristic
54C4×Q8×D61C2211yescharacteristic
55#16839870C411yescharacteristic, complemented
56#16839869C411yescharacteristic, complemented
57#16839868C411yescharacteristic, complemented
58#16839867C411yescharacteristic, complemented
59#16839867C411yescharacteristic, complemented
60#16839866C411yescharacteristic, complemented
61#16839866C411yescharacteristic, complemented
62#106×D61C2211yescharacteristic
63#103×D61C2211yescharacteristic
64#103×D61C2211yescharacteristic
65#97×D61C2211yescharacteristic
66C61×#441C411yescharacteristic, complemented
67C2×D61⋊C8C2311yescharacteristic
68C2×D61⋊C8C2311yescharacteristic
69Q8×#6923—22no—
70Q8×#6923—22no—
71Q8×#6923—22no—
72Q8×#6923—22no—
73C2×C4⋊#6923—21no—
74C2×C4⋊#6923—21no—
75C2×C4⋊#6923—21no—
76C2×C4⋊#6923—21no—
77C2×C4⋊#6923C2311yescharacteristic
78C2×C4⋊#6923C2311yescharacteristic
79C2×C4⋊#6923C2311yescharacteristic
80C2×C4⋊#6923C2311yescharacteristic
81C2×C4×#6923—21no—
82C2×C4×#6923—21no—
83C2×C4×#6923—21no—
84C2×C4×#6923—21no—
85C2×C4×#6923—21no—
86C2×C4×#6923—21no—
87C2×C4×#6923D411yescharacteristic
88C2×C4×#6923D411yescharacteristic
89C2×C4×#6923D411yescharacteristic
90C2×C4×#6923D411yescharacteristic
91C2×C4×#6923C2311yescharacteristic
92C2×C4×#6923C2311yescharacteristic
93#14519846—22no—
94#14519845—22no—
95#14519840—22no—
96#14519840—22no—
97#14519840—22no—
98#14519840—22no—
99#14519832—21no—
100#14519832—21no—
101(C2×#6923)⋊C4—21no—
102(C2×#6923)⋊C4—21no—
103(C2×#6923)⋊C4—21no—
104(C2×#6923)⋊C4—21no—
105(C2×#6923)⋊C4—21no—
106(C2×#6923)⋊C4—21no—
107(C2×#6923)⋊C4—21no—
108(C2×#6923)⋊C4—21no—
109(C2×#6923)⋊C4—21no—
110(C2×#6923)⋊C4—21no—
111C2×Q8×D61C2311yescharacteristic
112C2×Q8×D61C2311yescharacteristic
113C2×Dic244C2×C411yescharacteristic
114C2×#11758202C2×C411yescharacteristic
115C2×#11758202C2×C411yescharacteristic
116Q16×D61—22no—
117Q16×D61—22no—
118C2×C8×D61C2311yescharacteristic
119C2×C8×D61C2311yescharacteristic
120Q8×Dic61C2×C411yescharacteristic
121Q8×Dic61C2×C411yescharacteristic
122C4×Dic122—21no—
123C4×Dic122—21no—
124C4×Dic122C2×C411yescharacteristic
125C4×Dic122C2×C411yescharacteristic
126#14519742—21no—
127#14519742—21no—
128#14519742C2×C411yescharacteristic
129#14519742C2×C411yescharacteristic
130C4⋊C4×D61—21no—
131C4⋊C4×D61—21no—
132C4⋊C4×D61C2311yescharacteristic
133C4⋊C4×D61C2311yescharacteristic
134C42×D61—21no—
135C42×D61—21no—
136C42×D61C2311yescharacteristic
137#14519709C2×C411yescharacteristic
138#14519708C2×C411yescharacteristic
139#14519708C2×C411yescharacteristic
140#14519702C2×C411yescharacteristic
141#14519702C2×C411yescharacteristic
142#14519701C2×C411yescharacteristic
143#14519701C2×C411yescharacteristic
144#14519700C2×C411yescharacteristic
145#14519700C2×C411yescharacteristic
146#14519688C2×C411yescharacteristic
147#14519687C2×C411yescharacteristic
148#14519687C2×C411yescharacteristic
149C2×Q16×C61C2×C411yescharacteristic
150C4×Q8×C61C2×C411yescharacteristic
151C4×Q8×C61C2×C411yescharacteristic
152#106×C61C2×C411yescharacteristic
153#103×C61C2×C411yescharacteristic
154#103×C61C2×C411yescharacteristic
155#97×C61C2×C411yescharacteristic
156C22×#6923—21no—
157C22×#6923—21no—
158C22×#6923—21no—
159C22×#6923—21no—
160C22×#6923C2×D411yescharacteristic
161C22×#6923C2×D411yescharacteristic
162C22×#6923C2×D411yescharacteristic
163C22×#6923C2×D411yescharacteristic
164C2×Q8×C61C22×C411yescharacteristic
165C2×Q8×C61C22×C411yescharacteristic
166Q8×D61—21no—
167Q8×D61—21no—
168Q8×D61—21no—
169Q8×D61—21no—
170Q8×D61—21no—
171Q8×D61—21no—
172Q8×D61#4112yes—
173Q8×D61#4112yes—
174C2×C4×D61—21no—
175C2×C4×D61—21no—
176C2×C4×D61—21no—
177C2×C4×D61—21no—
178C2×C4×D61C2×D411yescharacteristic
179C2×C4×D61C2×D411yescharacteristic
180C2×C4×D61C2411yescharacteristic
181C2×Dic122—21no—
182C2×Dic122—21no—
183C2×Dic122C22×C411yescharacteristic
184C2×Dic122C22×C411yescharacteristic
185C2×#92420—21no—
186C2×#92420—21no—
187C4⋊#6923—24no—
188C4⋊#6923—24no—
189C4⋊#6923—21no—
190C4⋊#6923—21no—
191C4⋊#6923—21no—
192C4⋊#6923—21no—
193C4⋊#6923—21no—
194C4⋊#6923—21no—
195C4⋊#6923—42no—
196C4⋊#6923—42no—
197C4⋊#6923#4112yes—
198C4⋊#6923#4112yes—
199C4×#6923—24no—
200C4×#6923—24no—
201C4×#6923—22no—
202C4×#6923—22no—
203C4×#6923—21no—
204C4×#6923—21no—
205C4×#6923—21no—
206C4×#6923—21no—
207C4×#6923—41no—
208C4×#6923—41no—
209C4×#6923—42no—
210C4×#6923—42no—
211C4×#6923—42no—
212C4×#6923—42no—
213D61⋊C8—21no—
214D61⋊C8—21no—
215D61⋊C8—21no—
216D61⋊C8—21no—
217Q16×C61—22no—
218C2×C8×C61C22×C411yescharacteristic
219C2×C8×C61C22×C411yescharacteristic
220C4⋊C4×C61—21no—
221C4⋊C4×C61—21no—
222C4⋊C4×C61C22×C411yescharacteristic
223C4⋊C4×C61C22×C411yescharacteristic
224C42×C61—21no—
225C42×C61—21no—
226C42×C61C22×C411yescharacteristic
227#11758202—22no—
228#11758202—22no—
229C4⋊Dic61—21no—
230C4⋊Dic61—21no—
231C4⋊Dic61C22×C411yescharacteristic
232C4⋊Dic61C22×C411yescharacteristic
233#11758196—21no—
234#11758196—21no—
235#11758196—21no—
236#11758196—21no—
237#11758196—21no—
238#11758196—21no—
239C4×Dic61—21no—
240C4×Dic61—21no—
241C4×Dic61—21no—
242C4×Dic61—21no—
243C4×Dic61—21no—
244C4×Dic61—21no—
245C4×Dic61C22×C411yescharacteristic
246C4×Dic61#4111yescharacteristic
247C4×Dic61#4111yescharacteristic
248C2×#92418C22×C411yescharacteristic
249C2×#92418C22×C411yescharacteristic
250Dic244—22no—
251C8×D61—21no—
252C8×D61—21no—
253C8×D61—21no—
254C8×D61—21no—
255C22×D61C22×D411yescharacteristic
256C2×#6923—21no—
257C2×#6923—21no—
258C2×#6923—21no—
259C2×#6923—21no—
260C2×#6923—21no—
261C2×#6923—21no—
262C2×#6923—22no—
263C2×#6923—22no—
264C2×#6923—21no—
265C2×#6923—21no—
266C2×#6923—21no—
267C2×#6923—21no—
268C2×#6923—41no—
269C2×#6923—41no—
270C2×#6923—41no—
271C2×#6923—41no—
272C2×#6923—41no—
273C2×#6923—41no—
274C2×#6923—41no—
275C2×#6923—41no—
276C2×#6923—41no—
277C2×#6923—41no—
278C2×#6923#13712yes—
279C2×#6923#13712yes—
280Q8×C61—21no—
281Q8×C61—21no—
282Q8×C61—21no—
283Q8×C61#11712yes—
284C2×C4×C61—21no—
285C2×C4×C61—21no—
286C2×C4×C61—21no—
287C2×C4×C61—21no—
288C2×C4×C61C4×D411yescharacteristic
289C2×C4×C61C4×D411yescharacteristic
290C2×C4×C61C23×C411yescharacteristic
291C2×Dic61—21no—
292C2×Dic61—21no—
293C2×Dic61—21no—
294C2×Dic61—21no—
295C2×Dic61C4×D411yescharacteristic
296C2×Dic61C4×D411yescharacteristic
297C2×Dic61C2×#4111yescharacteristic
298C4×D61—22no—
299C4×D61—22no—
300C4×D61—21no—
301C4×D61—21no—
302C4×D61—21no—
303C4×D61—21no—
304C4×D61—41no—
305C4×D61—41no—
306C4×D61—41no—
307C4×D61—41no—
308C4×D61—41no—
309C4×D61—41no—
310C4×D61C2×#4111yescharacteristic
311C4×D61C2×#4111yescharacteristic
312C4×D61C2×#4111yescharacteristic
313C4×D61C2×#4111yescharacteristic
314Dic122—21no—
315Dic122—22no—
316Dic122—22no—
317Dic122—21no—
318Dic122—21no—
319Dic122—41no—
320Dic122—41no—
321Dic122#11712yes—
322#92420—41no—
323#92420—41no—
324C8×C61—21no—
325C8×C61—21no—
326#92418—21no—
327#92418—21no—
328#21123—611nomaximal, Sylow
329C22×C61C2×C4×D411yescharacteristic
330C2×D61#52511yescharacteristic
331C2×D61#52511yescharacteristic
332C2×D61C2×#13711yescharacteristic
333C2×D61C2×#13711yescharacteristic
334C2×D61#57511yescharacteristic
335C2×D61#57511yescharacteristic
336#6923—22no—
337#6923—22no—
338#6923—41no—
339#6923—42no—
340#6923—41no—
341#6923—42no—
342#6923—81no—
343#6923—81no—
344C4×C61—21no—
345C4×C61—21no—
346C4×C61—22no—
347C4×C61—41no—
348C4×C61—41no—
349C4×C61—41no—
350C4×C61C2×#11711yescharacteristic
351C4×C61C4×#4111yescharacteristic
352Dic61—21no—
353Dic61—21no—
354Dic61—22no—
355Dic61—41no—
356Dic61—41no—
357Dic61—41no—
358Dic61#52911yescharacteristic
359Dic61#52911yescharacteristic
360C2×#441—611no—
361#2295—611no—
362C42×Q8—611no—
363#1928—611no—
364#1927—611no—
365#1920—611no—
366#1919—611no—
367#1878—611no—
368#1878—611no—
369#1865—611no—
370#1863—611no—
371#1776—611no—
372#1763—611no—
373#1763—611no—
374#1745—611no—
375C2×C61#229011yescharacteristic
376C2×C61C4×#13711yescharacteristic
377C2×C61C4×#13711yescharacteristic
378D61#311111yescharacteristic
379D61#311311yescharacteristic
380D61#311611yescharacteristic
381D61#311711yescharacteristic
382C22×Q16—611no—
383C2×C4×Q8—611no—
384C2×C4×Q8—611no—
385C2×C4×Q8—611no—
386C2×C4×Q8—611no—
387#441—611no—
388#441—611no—
389#441—611no—
390#441—611no—
391#441—611no—
392#441—611no—
393#441—611no—
394#441#692311yescharacteristic, complemented
395C2×#107—611no—
396C2×#106—611no—
397C2×#106—611no—
398C2×#103—611no—
399C2×#103—611no—
400C2×#103—611no—
401C2×#103—611no—
402C2×#103—611no—
403C2×#103—611no—
404C2×#97—611no—
405C2×#97—611no—
406#391—611no—
407#391—611no—
408#389—611no—
409#389—611no—
410#387—1221no—
411#387—1221no—
412C4×C4⋊C4—611no—
413C4×C4⋊C4—611no—
414C4×C4⋊C4—611no—
415C4×C4⋊C4—611no—
416C4×C4⋊C4—1221no—
417C4×C4⋊C4—1221no—
418C4×C4⋊C4—1221no—
419C4×C4⋊C4—1221no—
420#376—1221no—
421C43—611no—
422C43—1221no—
423#340—611no—
424#340—611no—
425#340—611no—
426#340—611no—
427#340—611no—
428#340—611no—
429#336—611no—
430#336—611no—
431#336—611no—
432#336—611no—
433C61#2112311yescharacteristic, complemented, Sylow
434C22×Q8—611no—
435C22×Q8—611no—
436C2×Q16—611no—
437C2×Q16—611no—
438C2×Q16—611no—
439C2×Q16—1222no—
440C2×Q16—1222no—
441C2×Q16C2×#692311yescharacteristic
442C22×C8—611no—
443C22×C8—611no—
444C22×C8—611no—
445C22×C8—611no—
446C4×Q8—611no—
447C4×Q8—611no—
448C4×Q8—611no—
449C4×Q8—611no—
450C4×Q8—611no—
451C4×Q8—611no—
452C4×Q8—1221no—
453C4×Q8—1221no—
454C4×Q8—1221no—
455C4×Q8—1221no—
456C4×Q8—1222no—
457C4×Q8—1222no—
458C4×Q8—1222no—
459C4×Q8—1222no—
460C4×Q8C2×#692311yescharacteristic
461C4×Q8C2×#692311yescharacteristic
462C2×C4⋊C4—611no—
463C2×C4⋊C4—611no—
464C2×C4⋊C4—611no—
465C2×C4⋊C4—611no—
466C2×C4⋊C4—611no—
467C2×C4⋊C4—611no—
468C2×C4⋊C4—1221no—
469C2×C4⋊C4—1221no—
470C2×C4⋊C4—1221no—
471C2×C4⋊C4—1221no—
472C2×C4⋊C4—1221no—
473C2×C4⋊C4—1221no—
474C2×C42—611no—
475C2×C42—611no—
476C2×C42—611no—
477C2×C42—611no—
478C2×C42—611no—
479C2×C42—611no—
480C2×C42—611no—
481C2×C42—1221no—
482C2×C42—1221no—
483C2×C42—1221no—
484C2×C42—1221no—
485C2×C42—1221no—
486C2×C42—1221no—
487C2×C42—1221no—
488C2×C42—1221no—
489#107—1222no—
490#106—611no—
491#106—611no—
492#106—611no—
493#106—1222no—
494#106C2×#692311yescharacteristic
495#103—611no—
496#103—611no—
497#103—611no—
498#103—611no—
499#103—611no—
500#103—611no—
501#103—1222no—
502#103—1222no—
503#103—1222no—
504#103—1222no—
505#103C2×#692311yescharacteristic
506#103C2×#692311yescharacteristic
507#97—611no—
508#97—611no—
509#97—611no—
510#97—1221no—
511#97—1221no—
512#97C2×#692311yescharacteristic
513#95—1221no—
514#95—1221no—
515#95—1221no—
516#95—1221no—
517#95—1221no—
518#95—1221no—
519#95—1221no—
520#95—1221no—
521#95—1221no—
522#95—1221no—
523C2×Q8—612no—
524C2×Q8—612no—
525C2×Q8—611no—
526C2×Q8—611no—
527C2×Q8—1221no—
528C2×Q8—1221no—
529C2×Q8—1221no—
530C2×Q8—1221no—
531C2×Q8—1221no—
532C2×Q8—1221no—
533C2×Q8—1221no—
534C2×Q8—1221no—
535C2×Q8C22×#692311yescharacteristic
536C2×Q8C22×#692311yescharacteristic
537C22×C4—611no—
538C22×C4—611no—
539C22×C4—611no—
540C22×C4—611no—
541C22×C4—611no—
542C22×C4—611no—
543C22×C4—611no—
544C22×C4—1221no—
545C22×C4—1221no—
546C22×C4—1221no—
547C22×C4—1221no—
548C22×C4—1221no—
549C22×C4—1221no—
550C22×C4—1221no—
551C22×C4—1221no—
552Q16—22no—
553Q16—1222no—
554Q16—1222no—
555Q16—1222no—
556C2×C8—611no—
557C2×C8—611no—
558C2×C8—1221no—
559C2×C8—1221no—
560C2×C8—1221no—
561C2×C8—1221no—
562C2×C8—1221no—
563C2×C8—1221no—
564C2×C8—1221no—
565C2×C8—1221no—
566C2×C8—1221no—
567C2×C8—1221no—
568C2×C8C22×#692311yescharacteristic
569C2×C8C22×#692311yescharacteristic
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—612no—
573C4⋊C4—612no—
574C4⋊C4—611no—
575C4⋊C4—611no—
576C4⋊C4—1221no—
577C4⋊C4—1221no—
578C4⋊C4—1221no—
579C4⋊C4—1221no—
580C4⋊C4—1221no—
581C4⋊C4—1221no—
582C4⋊C4—1221no—
583C4⋊C4—1221no—
584C4⋊C4—1221no—
585C4⋊C4—1221no—
586C4⋊C4—1221no—
587C4⋊C4—1221no—
588C4⋊C4—1224no—
589C4⋊C4—1224no—
590C4⋊C4—1221no—
591C4⋊C4—1221no—
592C4⋊C4—2442no—
593C4⋊C4—2442no—
594C4⋊C4C22×#692311yescharacteristic
595C4⋊C4C22×#692311yescharacteristic
596C42—21no—
597C42—21no—
598C42—611no—
599C42—611no—
600C42—611no—
601C42—1221no—
602C42—1221no—
603C42—1221no—
604C42—1221no—
605C42—1221no—
606C42—1221no—
607C42—1221no—
608C42—1221no—
609C42—1222no—
610C42—1222no—
611C42—1224no—
612C42—1224no—
613C42—1221no—
614C42—1221no—
615C42—2442no—
616C42—2441no—
617C42—2441no—
618C42—2442no—
619C42—2442no—
620C42—2442no—
621C42C22×#692311yescharacteristic
622C23—611no—
623Q8—21no—
624Q8—21no—
625Q8—21no—
626Q8—612no—
627Q8—1222no—
628Q8—1222no—
629Q8—1221no—
630Q8—1221no—
631Q8—1221no—
632Q8—2441no—
633Q8—2441no—
634Q8#1451985612yes—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—611no—
640C2×C4—611no—
641C2×C4—611no—
642C2×C4—611no—
643C2×C4—611no—
644C2×C4—612no—
645C2×C4—612no—
646C2×C4—611no—
647C2×C4—611no—
648C2×C4—1222no—
649C2×C4—1222no—
650C2×C4—1221no—
651C2×C4—1221no—
652C2×C4—1221no—
653C2×C4—1221no—
654C2×C4—1221no—
655C2×C4—1221no—
656C2×C4—1221no—
657C2×C4—1221no—
658C2×C4—1221no—
659C2×C4—1222no—
660C2×C4—1222no—
661C2×C4—1221no—
662C2×C4—1221no—
663C2×C4—1221no—
664C2×C4—1221no—
665C2×C4—1221no—
666C2×C4—1221no—
667C2×C4—1221no—
668C2×C4—1221no—
669C2×C4—1221no—
670C2×C4—2441no—
671C2×C4—2441no—
672C2×C4—2441no—
673C2×C4—2441no—
674C2×C4—2441no—
675C2×C4—2441no—
676C2×C4—2441no—
677C2×C4—2441no—
678C2×C4—2441no—
679C2×C4—2441no—
680C2×C4—2441no—
681C2×C4—2441no—
682C2×C4—2441no—
683C2×C4—2441no—
684C2×C4—2441no—
685C2×C4—2441no—
686C2×C4D4×#692311yescharacteristic
687C2×C4D4×#692311yescharacteristic
688C2×C4C23×#692311yescharacteristic
689C8—21no—
690C8—21no—
691C8—1221no—
692C8—1221no—
693C8—2441no—
694C8—2441no—
695C22—611no—
696C22—611no—
697C22—611no—
698C22—611no—
699C22—611no—
700C22—611no—
701C22C2×D4×#692311yescharacteristic
702C4—22no—
703C4—21no—
704C4—21no—
705C4—41no—
706C4—41no—
707C4—41no—
708C4—611no—
709C4—611no—
710C4—1222no—
711C4—1222no—
712C4—1222no—
713C4—1221no—
714C4—1221no—
715C4—4881no—
716C4—4881no—
717C4—2441no—
718C4—2441no—
719C4—2442no—
720C4—2442no—
721C4—2441no—
722C4—2441no—
723C4—2441no—
724C4C2×#1451985611yescharacteristic
725C4#41×#692311yescharacteristic
726C2—611no—
727C2—611no—
728C2—611no—
729C2—611no—
730C2#2146227311yescharacteristic
731C2#137×#692311yescharacteristic
732C2#137×#692311yescharacteristic
subgroupG/H
centerC22C2×D4×#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#441C4
socleC22×C61C2×C4×D4
prime radicalC22×D61C22×D4
cosocleC2×C4×D61C24
hypercenter#441#6923
hypocenterC61#21123
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C42 ◁ #441

Complements

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

NH ≅ G/Ntype
55. #16839870C4semidirect
56. #16839869C4semidirect
57. #16839868C4semidirect
58. #16839867C4semidirect
59. #16839867C4semidirect
60. #16839866C4semidirect
61. #16839866C4semidirect
66. C61×#441C4semidirect
394. #441#6923semidirect
433. C61#21123semidirect

Maximal subgroups

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

subgroupindex
#214622782
C4×Q8×#69232
#214618992
#214618982
#214618822
#214618812
#214618132
#214617852
#214617832
#214616332
#214615912
#214615352
#441×D612
#2112361