Finite Group Databasebeta

← #29686535

Subgroups — #29686535

Order 15616.

1010 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839993C211yesmaximal, characteristic
2C2×C4×#11758201C211yesmaximal, characteristic, complemented
3C2×#16839718C211yesmaximal, characteristic, complemented
4#21448512C211yesmaximal, characteristic
5#21446676C211yesmaximal, characteristic, complemented
6#21446544C211yesmaximal, characteristic, complemented
7#21446515C211yesmaximal, characteristic, complemented
8#21446512C211yesmaximal, characteristic, complemented
9#21446255C211yesmaximal, characteristic
10#21446253C211yesmaximal, characteristic, complemented
11#21445842C211yesmaximal, characteristic, complemented
12C4×#14519708C211yesmaximal, characteristic, complemented
13#21445649C211yesmaximal, characteristic, complemented
14#21445647C211yesmaximal, characteristic, complemented
15C61×#2323C211yesmaximal, characteristic, complemented
16C22×#11758201C2211yescharacteristic
17C22×#11758194C2211yescharacteristic
18C23×#92418C2211yescharacteristic
19C2×#14519751C2211yescharacteristic
20C2×C4×D244C2211yescharacteristic
21#16839993C418yescomplemented
22C4×#11758201—24no—
23C2×#14519708C2211yescharacteristic
24C2×#14519708C2211yescharacteristic
25C2×#14519708C2211yescharacteristic
26C2×#14519701C2211yescharacteristic
27C2×#14519701C2211yescharacteristic
28C2×#14519701C2211yescharacteristic
29C2×#14519697C2211yescharacteristic
30C2×#14519697C2211yescharacteristic
31C2×#14519697C2211yescharacteristic
32#16839718—24no—
33C2×#14519688C2211yescharacteristic
34C2×#14519688C2211yescharacteristic
35C2×C4×#92418C2211yescharacteristic
36C2×C4×#92418C2211yescharacteristic
37#16839664C2211yescharacteristic
38#16839662—21no—
39#16839660C2211yescharacteristic
40#16839652—21no—
41#16839638—21no—
42#16839633—21no—
43#16839622C2211yescharacteristic
44C4×C4⋊Dic61C2211yescharacteristic
45#16839524C2211yescharacteristic
46#16839524C2211yescharacteristic
47#16839524C2211yescharacteristic
48#16839524C2211yescharacteristic
49#16839524C2211yescharacteristic
50#16839524C2211yescharacteristic
51C2×C22⋊Q8×C61C2211yescharacteristic
52C2×C4×Q8×C61C2211yescharacteristic
53C2×#117×C61C2211yescharacteristic
54C61×#391C2211yescharacteristic
55C61×#389—21no—
56C61×#389C2211yescharacteristic
57C61×#388—21no—
58C61×#388—21no—
59C61×#387—21no—
60C61×#380C2211yescharacteristic
61C4×C4⋊C4×C61C2211yescharacteristic
62C22×D244C2311yescharacteristic
63C22×C22⋊D61—21no—
64C22×C4×D61—21no—
65C2×#11758201—22no—
66C2×#11758201—22no—
67C2×#11758201C2×C414yes—
68C2×#11758194—22no—
69C2×#11758194—22no—
70C2×#11758194—22no—
71C22×#92418—22no—
72C22×#92418—22no—
73C22×#92418C2×C414yescomplemented
74C22×#92418C2311yescharacteristic
75C22×#92418C2311yescharacteristic
76C22×#92418C2311yescharacteristic
77C22×#92418C2311yescharacteristic
78#14519751—22no—
79#14519751C2×C414yes—
80C4×D244—22no—
81C4×D244—22no—
82C2×C4⋊Dic61C2311yescharacteristic
83C2×C4⋊Dic61C2311yescharacteristic
84C2×C4⋊Dic61C2311yescharacteristic
85C2×#11758196—21no—
86C2×C22⋊Dic61—21no—
87C2×#11758198—21no—
88C2×#11758198—21no—
89C2×#11758198—21no—
90C2×#11758198—21no—
91C2×C4×Dic61—21no—
92#14519708—22no—
93#14519708—22no—
94#14519708C2×C414yescomplemented
95#14519701—22no—
96#14519701—22no—
97#14519701C2×C414yescomplemented
98#14519697—22no—
99#14519697—22no—
100#14519697C2×C414yes—
101#14519688—22no—
102#14519688—22no—
103C4×#92418—22no—
104C4×#92418D414yescomplemented
105#14519684—21no—
106#14519684—21no—
107#14519684—21no—
108C22×Q8×C61C2311yescharacteristic
109C23×C4×C61C2311yescharacteristic
110C22⋊Q8×C61—22no—
111C22⋊Q8×C61C2×C414yescomplemented
112C4×Q8×C61—22no—
113C4×Q8×C61—22no—
114#117×C61—22no—
115#117×C61—22no—
116C2×C4⋊C4×C61—21no—
117C2×C4⋊C4×C61—21no—
118C2×C4⋊C4×C61—21no—
119C2×C4⋊C4×C61D411yescharacteristic
120C2×C4⋊C4×C61D411yescharacteristic
121C2×C4⋊C4×C61C2311yescharacteristic
122C2×C4⋊C4×C61C2311yescharacteristic
123C2×C4⋊C4×C61C2311yescharacteristic
124C2×C22⋊C4×C61—21no—
125C2×C22⋊C4×C61—21no—
126C2×C22⋊C4×C61D411yescharacteristic
127C2×C22⋊C4×C61D411yescharacteristic
128C2×C42×C61—21no—
129C2×C42×C61—21no—
130C2×C42×C61C2311yescharacteristic
131C2×C42×C61C2311yescharacteristic
132#95×C61—21no—
133#95×C61—21no—
134#95×C61—21no—
135#95×C61—21no—
136#95×C61—21no—
137C24×C61C2×D411yescharacteristic
138C23×D61—21no—
139C2×Q8×C61—21no—
140C2×Q8×C61—21no—
141C2×Q8×C61—21no—
142C2×Q8×C61—21no—
143C2×Q8×C61—21no—
144C2×Q8×C61C22×C412yes—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61—21no—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61C22×C412yes—
154C22×C4×C61C2×D411yescharacteristic
155C22×C4×C61C2×D411yescharacteristic
156C22×C4×C61C2×D411yescharacteristic
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61#4112yes—
160C22×C4×C61C2411yescharacteristic
161C2×C22⋊D61—24no—
162C2×C22⋊D61—81no—
163C2×C22⋊D61—81no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C2×D244—21no—
168C2×D244—21no—
169C2×D244—21no—
170C2×D244—21no—
171C2×D244—21no—
172C2×D244C22×C412yes—
173C2×C4×D61—42no—
174C2×C4×D61—81no—
175C2×C4×D61—81no—
176C4⋊C4×C61—24no—
177C4⋊C4×C61—22no—
178C4⋊C4×C61—22no—
179C4⋊C4×C61—21no—
180C4⋊C4×C61—21no—
181C4⋊C4×C61—21no—
182C4⋊C4×C61—21no—
183C4⋊C4×C61—21no—
184C4⋊C4×C61—42no—
185C4⋊C4×C61—81no—
186C4⋊C4×C61C22×C412yes—
187C22⋊C4×C61—24no—
188C22⋊C4×C61—22no—
189C22⋊C4×C61—22no—
190C22⋊C4×C61—81no—
191C42×C61—21no—
192C42×C61—21no—
193C42×C61—42no—
194C42×C61—81no—
195C42×C61C2×D412yes—
196C42×C61#4112yes—
197C22⋊Dic61—81no—
198#11758201—28no—
199#11758198—24no—
200#11758198—42no—
201#11758198—81no—
202#11758198—81no—
203C4⋊Dic61—21no—
204C4⋊Dic61—21no—
205C4⋊Dic61—21no—
206C4⋊Dic61—21no—
207C4⋊Dic61—21no—
208C4⋊Dic61C22×C412yes—
209#11758196—81no—
210C4×Dic61—81no—
211#11758194—28no—
212C2×#92418—21no—
213C2×#92418—21no—
214C2×#92418—21no—
215C2×#92418—21no—
216C2×#92418—21no—
217C2×#92418—21no—
218C2×#92418—28no—
219C2×#92418C22×C412yes—
220C2×#92418C22×C412yes—
221C2×#92418C2×D412yes—
222C2×#92418C2×D412yes—
223C2×#92418#4112yes—
224C2×#92418#4112yes—
225C23×C61—21no—
226C23×C61—21no—
227C23×C61—21no—
228C23×C61—21no—
229C23×C61—21no—
230C23×C61—21no—
231C23×C61C4×D412yes—
232C23×C61C22×D411yescharacteristic
233C22×D61—22no—
234C22×D61—41no—
235C22×D61—41no—
236C22×D61—41no—
237C22×D61—41no—
238C22×D61—41no—
239C22×D61—41no—
240Q8×C61—22no—
241Q8×C61—22no—
242Q8×C61—41no—
243Q8×C61—41no—
244C2×C4×C61—21no—
245C2×C4×C61—21no—
246C2×C4×C61—21no—
247C2×C4×C61—21no—
248C2×C4×C61—21no—
249C2×C4×C61—21no—
250C2×C4×C61—22no—
251C2×C4×C61—22no—
252C2×C4×C61—22no—
253C2×C4×C61—22no—
254C2×C4×C61—22no—
255C2×C4×C61—22no—
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—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—41no—
271C2×C4×C61—41no—
272C2×C4×C61C4×D412yes—
273C2×C4×C61#12112yes—
274C2×C4×C61#12112yes—
275C2×C4×C61C23×C411yescharacteristic
276C2×C4×C61C22×D411yescharacteristic
277C2×C4×C61C2×#4111yescharacteristic
278C2×C4×C61C2×#4111yescharacteristic
279C2×C4×C61C2×#4111yescharacteristic
280C2×C4×C61C2×#4111yescharacteristic
281C22⋊D61—84no—
282C2×Dic61—22no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291D244—22no—
292D244—22no—
293D244—41no—
294D244—41no—
295C4×D61—84no—
296#92418—22no—
297#92418—22no—
298#92418—22no—
299#92418C4×D414yes—
300#21523—611nomaximal, Sylow
301C22×C61—22no—
302C22×C61—22no—
303C22×C61—22no—
304C22×C61—41no—
305C22×C61—41no—
306C22×C61—41no—
307C22×C61—41no—
308C22×C61C2×C4×D411yescharacteristic
309C22×C61C2×#12111yescharacteristic
310C22×C61#53211yescharacteristic
311C22×C61#57711yescharacteristic
312C22×C61#57711yescharacteristic
313C22×C61#57711yescharacteristic
314C22×C61#57711yescharacteristic
315C2×D61—42no—
316C2×D61—42no—
317C2×D61—42no—
318C2×D61—81no—
319C2×D61—81no—
320C2×D61—81no—
321C2×D61—81no—
322C4×C61—22no—
323C4×C61—22no—
324C4×C61—22no—
325C4×C61—42no—
326C4×C61—41no—
327C4×C61—41no—
328C4×C61—42no—
329C4×C61—81no—
330C4×C61—81no—
331C4×C61C2×C4×D411yescharacteristic
332C4×C61C4×#4111yescharacteristic
333C4×C61#52511yescharacteristic
334C4×C61#52911yescharacteristic
335Dic61—42no—
336Dic61—81no—
337Dic61—81no—
338C2×#465—611no—
339C2×C4×SD16—611no—
340C2×#405—611no—
341#2324—611no—
342#2323D6111yescharacteristic, complemented
343#1968—611no—
344#1941—611no—
345#1936—611no—
346#1935—611no—
347#1895—611no—
348#1894—611no—
349#1807—611no—
350C4×#106—611no—
351#1763—611no—
352#1762—611no—
353C2×C61—42no—
354C2×C61C4×#12111yescharacteristic
355C2×C61#294911yescharacteristic
356C2×C61#295211yescharacteristic
357C2×C61#305711yescharacteristic
358C2×C61#306011yescharacteristic
359C2×C61#317311yescharacteristic
360C2×C61#317411yescharacteristic
361D61—82no—
362C22×SD16—611no—
363C22×M16—611no—
364C23×C8—611no—
365C2×C22⋊Q8C2×D6111yescharacteristic
366C2×#121—611no—
367C2×C4×Q8C2×D6111yescharacteristic
368C2×C4×D4—611no—
369C2×#117C2×D6111yescharacteristic
370#465—618no—
371C4×SD16—1224no—
372C2×#106—611no—
373C2×#106—611no—
374C2×#106—611no—
375C2×#103—611no—
376C2×#103—611no—
377C2×#103—611no—
378C2×#102—611no—
379C2×#102—611no—
380C2×#102—611no—
381#405—1224no—
382C2×#97—611no—
383C2×#97—611no—
384C2×C4×C8—611no—
385C2×C4×C8—611no—
386#391C2×D6111yescharacteristic
387#390—611no—
388#390—1221no—
389#389—21no—
390#389—611no—
391#389C2×D6111yescharacteristic
392#388—21no—
393#388—21no—
394#388—1221no—
395#387—21no—
396#386—1221no—
397#385—1221no—
398#380—611no—
399#380C2×D6111yescharacteristic
400C4×C4⋊C4—611no—
401C4×C4⋊C4C2×D6111yescharacteristic
402#340—611no—
403#340—611no—
404#340—611no—
405#340—611no—
406#340—611no—
407#340—611no—
408C61#2152311yescharacteristic, complemented, Sylow
409C22×Q8C22×D6111yescharacteristic
410C22×D4—611no—
411C22×D4—1221no—
412C23×C4—1221no—
413C23×C4C22×D6111yescharacteristic
414C2×SD16—614no—
415C2×SD16—1222no—
416C2×SD16—1222no—
417C2×M16—1222no—
418C2×M16—1222no—
419C2×M16—1222no—
420C22×C8—611no—
421C22×C8—614no—
422C22×C8—611no—
423C22×C8—611no—
424C22×C8—611no—
425C22×C8—1222no—
426C22×C8—1222no—
427C22⋊Q8—22no—
428C22⋊Q8C4×D6114yescomplemented
429#121—614no—
430#121—1222no—
431C4×Q8—22no—
432C4×Q8—22no—
433C4×D4—1222no—
434C4×D4—1222no—
435#117—22no—
436#117—22no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—611no—
441C2×C4⋊C4—611no—
442C2×C4⋊C4—611no—
443C2×C4⋊C4—1221no—
444C2×C4⋊C4C22⋊D6111yescharacteristic
445C2×C4⋊C4C22⋊D6111yescharacteristic
446C2×C4⋊C4C22×D6111yescharacteristic
447C2×C4⋊C4C22×D6111yescharacteristic
448C2×C4⋊C4C22×D6111yescharacteristic
449C2×C22⋊C4—21no—
450C2×C22⋊C4—21no—
451C2×C22⋊C4—1221no—
452C2×C22⋊C4—1221no—
453C2×C22⋊C4—1221no—
454C2×C22⋊C4—1221no—
455C2×C22⋊C4—1221no—
456C2×C22⋊C4C22⋊D6111yescharacteristic
457C2×C22⋊C4C22⋊D6111yescharacteristic
458C2×C42—21no—
459C2×C42—21no—
460C2×C42—1221no—
461C2×C42C22×D6111yescharacteristic
462C2×C42C22×D6111yescharacteristic
463#106—614no—
464#106—1222no—
465#106—1222no—
466#103—614no—
467#103—1222no—
468#103—1222no—
469#102—614no—
470#102—1222no—
471#102—1222no—
472#97—1222no—
473#97—1222no—
474C4×C8—614no—
475C4×C8—1222no—
476#95—21no—
477#95—21no—
478#95—21no—
479#95—21no—
480#95—21no—
481#95—1221no—
482#95—1221no—
483#95—1221no—
484C24—1221no—
485C24C2×C22⋊D6111yescharacteristic
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8C2×C4×D6112yes—
492C2×D4—612no—
493C2×D4—1224no—
494C2×D4—1221no—
495C2×D4—1221no—
496C2×D4—1221no—
497C2×D4—1221no—
498C2×D4—1221no—
499C2×D4—4881no—
500C2×D4—4881no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—1221no—
510C22×C4—1221no—
511C22×C4—1221no—
512C22×C4—4881no—
513C22×C4—4881no—
514C22×C4—2442no—
515C22×C4C2×C4×D6112yes—
516C22×C4#1175822212yes—
517C22×C4C2×C22⋊D6111yescharacteristic
518C22×C4C2×C22⋊D6111yescharacteristic
519C22×C4C2×C22⋊D6111yescharacteristic
520C22×C4C2×C22⋊D6111yescharacteristic
521C22×C4C2×C22⋊D6111yescharacteristic
522C22×C4C23×D6111yescharacteristic
523SD16—1228no—
524M16—1228no—
525C2×C8—612no—
526C2×C8—612no—
527C2×C8—612no—
528C2×C8—612no—
529C2×C8—612no—
530C2×C8—612no—
531C2×C8—1228no—
532C2×C8—1221no—
533C2×C8—1221no—
534C2×C8—1221no—
535C2×C8—1221no—
536C2×C8—1221no—
537C2×C8—1221no—
538C4⋊C4—21no—
539C4⋊C4—24no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—42no—
547C4⋊C4—81no—
548C4⋊C4—612no—
549C4⋊C4—1221no—
550C4⋊C4—1221no—
551C4⋊C4—1221no—
552C4⋊C4—1221no—
553C4⋊C4—1221no—
554C4⋊C4—4881no—
555C4⋊C4C2×C4×D6112yes—
556C22⋊C4—24no—
557C22⋊C4—22no—
558C22⋊C4—22no—
559C22⋊C4—81no—
560C22⋊C4—1224no—
561C22⋊C4—4881no—
562C22⋊C4—4881no—
563C22⋊C4—4881no—
564C22⋊C4—2442no—
565C42—21no—
566C42—21no—
567C42—42no—
568C42—81no—
569C42—4881no—
570C42D4×D6112yes—
571C42#1175822412yes—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—1222no—
579C23—2441no—
580C23—2441no—
581C23—2441no—
582C23—2441no—
583C23—2441no—
584C23—2441no—
585C23C4×C22⋊D6112yes—
586C23C22×C22⋊D6111yescharacteristic
587Q8—22no—
588Q8—22no—
589Q8—41no—
590Q8—41no—
591D4—1222no—
592D4—1222no—
593D4—4884no—
594D4—2441no—
595D4—2441no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—1222no—
625C2×C4—4884no—
626C2×C4—2441no—
627C2×C4—2441no—
628C2×C4—2441no—
629C2×C4—2441no—
630C2×C4—2441no—
631C2×C4—2441no—
632C2×C4—2441no—
633C2×C4—2441no—
634C2×C4C4×C22⋊D6112yes—
635C2×C4#1451974912yes—
636C2×C4#1451974912yes—
637C2×C4C22×C4×D6111yescharacteristic
638C2×C4C2×D4×D6111yescharacteristic
639C2×C4#41×D6111yescharacteristic
640C2×C4#41×D6111yescharacteristic
641C2×C4C2×#1175822411yescharacteristic
642C2×C4C2×#1175822211yescharacteristic
643C8—614no—
644C8—1222no—
645C8—1222no—
646C8—1222no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22—4881no—
655C22—4881no—
656C22—4881no—
657C22—4881no—
658C22—2442no—
659C22—2442no—
660C22—2442no—
661C22C2×C4×C22⋊D6111yescharacteristic
662C22C2×#1451974911yescharacteristic
663C22#1684030811yescharacteristic
664C22#1684057011yescharacteristic
665C22#1684057011yescharacteristic
666C22#1684057011yescharacteristic
667C22#1684057311yescharacteristic
668C4—22no—
669C4—22no—
670C4—22no—
671C4—41no—
672C4—42no—
673C4—41no—
674C4—42no—
675C4—81no—
676C4—81no—
677C4—4881no—
678C4—4881no—
679C4—2442no—
680C4C4×D4×D6111yescharacteristic
681C4C4×#1175822411yescharacteristic
682C4#1684027111yescharacteristic
683C4#1684029211yescharacteristic
684C2—42no—
685C2—4882no—
686C2C4×#1451974911yescharacteristic
687C2#2145467811yescharacteristic
688C2#2145470011yescharacteristic
689C2#2145546011yescharacteristic
690C2#2145547811yescharacteristic
691C2#2145643011yescharacteristic
692C2#2145644811yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#2323C2
socleC23×C61C22×D4
prime radicalC2×#14519751C22
cosocleC22×C4×C61C24
hypercenter#2323D61
hypocenterC61#21523
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2323

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11758201C2semidirect
3. C2×#16839718C2semidirect
5. #21446676C2semidirect
6. #21446544C2semidirect
7. #21446515C2semidirect
8. #21446512C2semidirect
10. #21446253C2semidirect
11. #21445842C2semidirect
12. C4×#14519708C2semidirect
13. #21445649C2semidirect
14. #21445647C2semidirect
15. C61×#2323C2semidirect
21. #16839993C4semidirect
73. C22×#92418C2×C4semidirect
94. #14519708C2×C4semidirect
97. #14519701C2×C4semidirect
104. C4×#92418D4semidirect
111. C22⋊Q8×C61C2×C4semidirect
342. #2323D61semidirect
408. C61#21523semidirect
428. C22⋊Q8C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168399932
C2×C4×#117582012
C2×#168397182
#214485122
#214466762
#214465442
#214465152
#214465122
#214462552
#214462532
#214458422
C4×#145197082
#214456492
#214456472
C61×#23232
#2152361