Finite Group Databasebeta

← #30602571

Subgroups — #30602571

Order 15616.

1204 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21462799C211yesmaximal, characteristic
2C2×#16840759C211yesmaximal, characteristic
3C2×#16840645C211yesmaximal, characteristic, complemented
4#21461517C211yesmaximal, characteristic, complemented
5#21461499C211yesmaximal, characteristic, complemented
6#21461491C211yesmaximal, characteristic, complemented
7#421×D61C211yesmaximal, characteristic
8C22×#11758213C2211yescharacteristic
9#16840831—22no—
10#16840831—22no—
11#16840830C412yescomplemented
12#16840829—22no—
13#16840829C412yescomplemented
14#41×#6923—22no—
15#41×#6923—22no—
16C2×#14519856—22no—
17C2×#14519856C2211yescharacteristic
18C2×#14519856C2211yescharacteristic
19C2×#14519856C2211yescharacteristic
20#16840759—22no—
21#16840759—22no—
22C2×#14519842C412yescomplemented
23C2×#14519841C412yescomplemented
24#16840645—22no—
25#16840639—22no—
26#16840632—22no—
27#16840630—22no—
28C2×#41×D61C2211yescharacteristic
29C2×M16×D61C2211yescharacteristic
30#117×D61C2211yescharacteristic
31#16839780C411yescharacteristic, complemented
32#16839779C411yescharacteristic, complemented
33#16839778C411yescharacteristic, complemented
34#16839777—22no—
35#104×D61—22no—
36C61×#421C411yescharacteristic, complemented
37C2×#11758213—21no—
38C2×#11758213—21no—
39C2×#11758213—21no—
40C2×#11758213—21no—
41C2×#11758213—21no—
42C2×#11758213C2×C412yescomplemented
43C22×#92420—21no—
44Q8×#6923—24no—
45Q8×#6923—24no—
46D4×#6923—28no—
47D4×#6923—28no—
48D4×#6923—24no—
49D4×#6923—24no—
50#14519856—24no—
51#14519856—24no—
52#14519856—21no—
53#14519856—21no—
54#14519856—21no—
55#14519856—21no—
56#14519856—24no—
57#14519856—21no—
58#14519856—21no—
59#14519856—21no—
60#14519856—21no—
61#14519856C2×C412yes—
62#14519856C2×C412yes—
63#14519856D412yes—
64#14519856D412yes—
65C2×C4⋊#6923—24no—
66C2×C4⋊#6923—21no—
67C2×C4⋊#6923—21no—
68C2×C4⋊#6923—21no—
69C2×C22⋊#6923—21no—
70C2×C22⋊#6923—24no—
71C2×C22⋊#6923—21no—
72C2×C22⋊#6923D412yes—
73C2×C4×#6923—24no—
74C2×C4×#6923—21no—
75C2×C4×#6923C2×C412yescomplemented
76C2×C4×#6923D412yes—
77#14519842—24no—
78#14519841—24no—
79C2×#11758226C2×C411yescharacteristic
80C2×#11758222—21no—
81C2×#11758222C2×C411yescharacteristic
82C2×#11758224—21no—
83C2×#11758224C2×C411yescharacteristic
84#41×D61—21no—
85#41×D61—21no—
86#41×D61—21no—
87#41×D61—21no—
88#41×D61D412yes—
89#41×D61D412yes—
90#41×D61D412yes—
91#41×D61Q812yes—
92C2×Q8×D61C2×C411yescharacteristic
93C2×D4×D61—21no—
94C2×D4×D61C2×C411yescharacteristic
95C22×C4×D61—21no—
96C22×C4×D61C2311yescharacteristic
97C2×#11758194C2×C411yescharacteristic, complemented
98C2×#11758189—21no—
99M16×D61—21no—
100M16×D61—21no—
101M16×D61—21no—
102M16×D61—21no—
103C2×C8×D61—21no—
104#14519736C2×C411yescharacteristic, complemented
105#14519735—21no—
106#14519734—21no—
107#14519733—21no—
108C4⋊C4×D61—21no—
109C22⋊C4×D61—21no—
110C42×D61—21no—
111#14519705—22no—
112#14519704—22no—
113#14519703—22no—
114C2×#41×C61C2×C411yescharacteristic
115C2×M16×C61C2×C411yescharacteristic, complemented
116#117×C61C2×C411yescharacteristic, complemented
117#104×C61—22no—
118C23×D61—21no—
119C23×D61C2×D411yescharacteristic
120C22×#6923—28no—
121C22×#6923—22no—
122C22×#6923—22no—
123C22×#6923—22no—
124#41×C61—21no—
125#41×C61—21no—
126#41×C61C22⋊C412yes—
127#41×C61C4⋊C412yes—
128C2×Q8×C61C4211yescharacteristic
129C2×D4×C61—21no—
130C2×D4×C61C4211yescharacteristic
131C22×C4×C61—21no—
132C22×C4×C61C22×C411yescharacteristic
133C2×C22⋊D61—21no—
134C2×C22⋊D61—21no—
135C2×C22⋊D61—21no—
136C22×Dic61—21no—
137C22×Dic61#4111yescharacteristic
138#11758226—21no—
139#11758226—21no—
140#11758226C22⋊C412yes—
141#11758226C4⋊C412yes—
142Q8×D61—21no—
143Q8×D61—21no—
144Q8×D61C22⋊C412yes—
145Q8×D61C4⋊C412yes—
146#11758224—22no—
147#11758224—22no—
148#11758224—22no—
149#11758224—22no—
150#11758224—21no—
151#11758224—21no—
152#11758224C22⋊C412yes—
153#11758224C4⋊C412yes—
154D4×D61—22no—
155D4×D61—22no—
156D4×D61—22no—
157D4×D61—22no—
158D4×D61—21no—
159D4×D61—21no—
160D4×D61C22⋊C412yes—
161D4×D61C4⋊C412yes—
162#11758222—21no—
163#11758222—21no—
164#11758222—22no—
165#11758222—22no—
166#11758222—22no—
167#11758222—22no—
168#11758222C22⋊C412yes—
169#11758222C4⋊C412yes—
170C2×D244—21no—
171C2×D244C4211yescharacteristic
172C2×C4×D61—21no—
173C2×C4×D61—21no—
174C2×C4×D61—21no—
175C2×C4×D61—22no—
176C2×C4×D61—22no—
177C2×C4×D61—22no—
178C2×C4×D61—22no—
179C2×C4×D61—41no—
180C2×C4×D61C22×C411yescharacteristic
181C2×C4×D61C22×C411yescharacteristic
182C2×C4×D61C2×D411yescharacteristic
183C2×C4×D61C2×D411yescharacteristic
184C2×C4×D61C2×D411yescharacteristic
185C2×C4×D61C2×D411yescharacteristic
186C2×C4×D61C2×D411yescharacteristic
187C2×C4×D61C2×D411yescharacteristic
188C2×C4×D61C2×Q811yescharacteristic
189C2×C4×D61#4111yescharacteristic
190C2×C4×D61#4111yescharacteristic
191C2×C4×D61#4111yescharacteristic
192C2×Dic122—21no—
193C2×Dic122C4211yescharacteristic
194C22⋊#6923—28no—
195C22⋊#6923—22no—
196C22⋊#6923—22no—
197C22⋊#6923—22no—
198C22⋊#6923—41no—
199C22⋊#6923—41no—
200C22⋊#6923C22⋊C414yes—
201C2×#92420—22no—
202C2×#92420—41no—
203C2×#92420—41no—
204C4⋊#6923—28no—
205C4⋊#6923—22no—
206C4⋊#6923—22no—
207C4⋊#6923—22no—
208C4⋊#6923—22no—
209C4⋊#6923—41no—
210C4⋊#6923—41no—
211C4×#6923—28no—
212C4×#6923—22no—
213C4×#6923—22no—
214C4×#6923—22no—
215C4×#6923—22no—
216C4×#6923—22no—
217C4×#6923C22⋊C414yes—
218#11758213—22no—
219#11758213—22no—
220#11758213—41no—
221#11758213—41no—
222M16×C61—21no—
223M16×C61—21no—
224C2×C8×C61—21no—
225C4⋊C4×C61—21no—
226C22⋊C4×C61—21no—
227C42×C61—21no—
228C22⋊Dic61—21no—
229#11758198—41no—
230C4⋊Dic61—21no—
231#11758196—41no—
232C4×Dic61—21no—
233C4×Dic61—41no—
234#11758194—21no—
235#11758194—21no—
236C2×#92418—21no—
237#11758189—41no—
238#11758189—41no—
239C8×D61—41no—
240C8×D61—41no—
241C23×C61—21no—
242C23×C61C4×D411yescharacteristic
243C22×D61—21no—
244C22×D61—22no—
245C22×D61—22no—
246C22×D61—81no—
247C22×D61—82no—
248C22×D61C2×C22⋊C411yescharacteristic
249C22×D61C4×D411yescharacteristic
250C22×D61#12011yescharacteristic
251C22×D61#12011yescharacteristic
252C22×D61#12111yescharacteristic
253C22×D61C22⋊Q811yescharacteristic
254C2×#6923—24no—
255C2×#6923—24no—
256C2×#6923—42no—
257C2×#6923—82no—
258C2×#6923—82no—
259C2×#6923—88no—
260C2×#6923—82no—
261Q8×C61—21no—
262Q8×C61#9512yes—
263D4×C61—22no—
264D4×C61—22no—
265D4×C61—21no—
266D4×C61#9512yes—
267C2×C4×C61—21no—
268C2×C4×C61—22no—
269C2×C4×C61—22no—
270C2×C4×C61—41no—
271C2×C4×C61C2×C4211yescharacteristic
272C2×C4×C61C2×C22⋊C411yescharacteristic
273C2×C4×C61C2×C4⋊C411yescharacteristic
274C2×C4×C61C4×D411yescharacteristic
275C2×C4×C61C4×D411yescharacteristic
276C2×C4×C61C4×D411yescharacteristic
277C22⋊D61—22no—
278C22⋊D61—22no—
279C22⋊D61—22no—
280C22⋊D61—22no—
281C22⋊D61—22no—
282C22⋊D61—22no—
283C2×Dic61—21no—
284C2×Dic61—22no—
285C2×Dic61—22no—
286C2×Dic61—41no—
287C2×Dic61#11711yescharacteristic
288C2×Dic61C4×D411yescharacteristic
289C2×Dic61#12111yescharacteristic
290C2×Dic61C22⋊Q811yescharacteristic
291C2×Dic61#12311yescharacteristic
292C2×Dic61#12311yescharacteristic
293D244—22no—
294D244—22no—
295D244—21no—
296D244#9512yes—
297C4×D61—22no—
298C4×D61—22no—
299C4×D61—22no—
300C4×D61—22no—
301C4×D61—22no—
302C4×D61—22no—
303C4×D61—82no—
304C4×D61C2×C22⋊C411yescharacteristic
305C4×D61C2×C22⋊C411yescharacteristic
306C4×D61C2×C22⋊C411yescharacteristic
307C4×D61C2×C4⋊C411yescharacteristic
308C4×D61C2×C4⋊C411yescharacteristic
309C4×D61#11711yescharacteristic
310C4×D61C4×D411yescharacteristic
311C4×D61C4×D411yescharacteristic
312C4×D61#12011yescharacteristic
313C4×D61#12011yescharacteristic
314C4×D61#12111yescharacteristic
315C4×D61#12111yescharacteristic
316C4×D61C22⋊Q811yescharacteristic
317C4×D61C22⋊Q811yescharacteristic
318C4×D61#12311yescharacteristic
319C4×D61#12311yescharacteristic
320Dic122—21no—
321Dic122—22no—
322Dic122—22no—
323Dic122#9512yes—
324#92420—42no—
325C8×C61—41no—
326#92418—41no—
327#10783—611nomaximal, Sylow
328C22×C61—22no—
329C22×C61—41no—
330C22×C61—81no—
331C22×C61C4×C22⋊C411yescharacteristic
332C22×C61#38511yescharacteristic
333C22×C61#38611yescharacteristic
334C2×D61—22no—
335C2×D61—41no—
336C2×D61—41no—
337C2×D61—41no—
338C2×D61—41no—
339C2×D61—41no—
340C2×D61—41no—
341C2×D61—44no—
342C2×D61—82no—
343C2×D61—81no—
344C2×D61#37911yescharacteristic
345C2×D61#38011yescharacteristic
346C2×D61#38511yescharacteristic
347C2×D61#38611yescharacteristic
348#6923—44no—
349#6923—44no—
350#6923—82no—
351C4×C61—22no—
352C4×C61—81no—
353C4×C61C2×#9511yescharacteristic
354C4×C61C4×C22⋊C411yescharacteristic
355C4×C61#38511yescharacteristic
356C4×C61#38611yescharacteristic
357Dic61—22no—
358Dic61—81no—
359Dic61#38011yescharacteristic
360Dic61#38111yescharacteristic
361Dic61#38511yescharacteristic
362Dic61#38611yescharacteristic
363#3428—611no—
364C2×#421—611no—
365C2×#421—611no—
366C2×#344—611no—
367#1740—611no—
368#1733—611no—
369C2×H(3,ℤ/4)—611no—
370C2×C61—21no—
371C2×C61—21no—
372C2×C61—21no—
373C2×C61—42no—
374C2×C61C22⋊#9511yescharacteristic
375D61—21no—
376D61—21no—
377D61—21no—
378D61—21no—
379D61—42no—
380C22×#41—611no—
381C22×M16—611no—
382C22×M16—611no—
383#520—1222no—
384#520—1222no—
385#519—612no—
386#518—612no—
387#518—1222no—
388C4×#41—1222no—
389C4×#41—1222no—
390C2×#117—611no—
391C2×#117—611no—
392C2×#117—611no—
393C2×#117—611no—
394C2×#117—1222no—
395#421—611no—
396#421—611no—
397#421—611no—
398#421—1222no—
399#421—1222no—
400#421—1222no—
401#421#692311yescharacteristic, complemented
402C2×#104—612no—
403C2×#104—612no—
404C2×#104—1222no—
405#344—1222no—
406#342—1222no—
407#339—1222no—
408H(3,ℤ/4)—1222no—
409C61#1078311yescharacteristic, complemented, Sylow
410C2×#41—612no—
411C2×#41—612no—
412C2×#41—612no—
413C2×#41—612no—
414C2×#41—611no—
415C2×#41—611no—
416C2×#41—611no—
417C2×#41—1221no—
418C2×#41—1221no—
419C2×#41—1221no—
420C2×#41—1221no—
421C2×#41—1221no—
422C2×#41—1221no—
423C2×#41C2×#692311yescharacteristic
424C22×Q8—611no—
425C22×D4—611no—
426C22×D4—1221no—
427C23×C4—611no—
428C23×C4—1221no—
429C2×M16—612no—
430C2×M16—611no—
431C2×M16—1221no—
432C2×M16—1221no—
433C2×M16—1221no—
434C2×M16—1221no—
435C2×M16—1221no—
436C2×M16—1221no—
437C2×M16—1221no—
438C2×M16—1221no—
439C2×M16—1221no—
440C2×M16—1221no—
441C2×M16C2×#692311yescharacteristic, complemented
442C22×C8—1221no—
443C22×C8—1221no—
444C4×Q8—1224no—
445C4×Q8—1224no—
446C4×D4—1224no—
447C4×D4—1224no—
448C4×D4—1228no—
449C4×D4—1228no—
450#117—612no—
451#117—612no—
452#117—612no—
453#117—612no—
454#117—611no—
455#117—1221no—
456#117—1224no—
457#117—1221no—
458#117—1221no—
459#117—1221no—
460#117—1221no—
461#117—1224no—
462#117—1224no—
463#117—1221no—
464#117—1221no—
465#117—1221no—
466#117—1221no—
467#117—1221no—
468#117—1221no—
469#117C2×#692311yescharacteristic, complemented
470C2×C4⋊C4—1221no—
471C2×C4⋊C4—1221no—
472C2×C4⋊C4—1221no—
473C2×C4⋊C4—1224no—
474C2×C4⋊C4—1221no—
475C2×C22⋊C4—612no—
476C2×C22⋊C4—1221no—
477C2×C22⋊C4—1224no—
478C2×C22⋊C4—1221no—
479C2×C22⋊C4—1221no—
480C2×C42—612no—
481C2×C42—612no—
482C2×C42—1221no—
483C2×C42—1221no—
484C2×C42—1224no—
485#104—22no—
486#104—1222no—
487#104—1222no—
488#104—1224no—
489#104—1224no—
490#104—1222no—
491C24—611no—
492C24—1221no—
493#41—21no—
494#41—21no—
495#41—612no—
496#41—612no—
497#41—612no—
498#41—612no—
499#41—612no—
500#41—612no—
501#41—1222no—
502#41—1222no—
503#41—1222no—
504#41—1222no—
505#41—1222no—
506#41—1222no—
507#41—1222no—
508#41—1222no—
509#41—1221no—
510#41—1221no—
511#41—1221no—
512#41—1221no—
513#41—1221no—
514#41—1221no—
515#41C4⋊#692312yes—
516#41C22⋊#692312yes—
517C2×Q8—612no—
518C2×Q8—612no—
519C2×Q8—611no—
520C2×Q8—1221no—
521C2×Q8—1221no—
522C2×Q8—1221no—
523C2×Q8C4×#692311yescharacteristic
524C2×D4—21no—
525C2×D4—612no—
526C2×D4—612no—
527C2×D4—611no—
528C2×D4—1221no—
529C2×D4—1221no—
530C2×D4—1221no—
531C2×D4—1221no—
532C2×D4—1222no—
533C2×D4—1222no—
534C2×D4—1222no—
535C2×D4—1222no—
536C2×D4—1221no—
537C2×D4—1221no—
538C2×D4C4×#692311yescharacteristic
539C22×C4—21no—
540C22×C4—611no—
541C22×C4—611no—
542C22×C4—611no—
543C22×C4—611no—
544C22×C4—611no—
545C22×C4—611no—
546C22×C4—611no—
547C22×C4—611no—
548C22×C4—611no—
549C22×C4—611no—
550C22×C4—611no—
551C22×C4—611no—
552C22×C4—611no—
553C22×C4—1222no—
554C22×C4—1222no—
555C22×C4—1221no—
556C22×C4—1222no—
557C22×C4—1222no—
558C22×C4—1221no—
559C22×C4—1221no—
560C22×C4—1221no—
561C22×C4—1222no—
562C22×C4—1222no—
563C22×C4—1228no—
564C22×C4—1222no—
565C22×C4—2441no—
566C22×C4C22×#692311yescharacteristic
567M16—21no—
568M16—21no—
569M16—1222no—
570M16—1222no—
571M16—1221no—
572M16—1221no—
573M16—2441no—
574M16—2441no—
575M16—2441no—
576M16—2441no—
577C2×C8—21no—
578C2×C8—1222no—
579C2×C8—1221no—
580C2×C8—2441no—
581C2×C8—2441no—
582C2×C8—2441no—
583C2×C8—2441no—
584C4⋊C4—21no—
585C4⋊C4—1222no—
586C4⋊C4—1222no—
587C4⋊C4—1222no—
588C4⋊C4—1222no—
589C4⋊C4—1228no—
590C4⋊C4—1221no—
591C4⋊C4—2441no—
592C4⋊C4—2441no—
593C4⋊C4—2441no—
594C22⋊C4—21no—
595C22⋊C4—614no—
596C22⋊C4—1222no—
597C22⋊C4—1222no—
598C22⋊C4—1222no—
599C22⋊C4—1228no—
600C22⋊C4—1221no—
601C22⋊C4—2441no—
602C22⋊C4—2441no—
603C22⋊C4—2441no—
604C42—21no—
605C42—614no—
606C42—1222no—
607C42—1222no—
608C42—1222no—
609C42—1222no—
610C42—1222no—
611C42—1228no—
612C42—1221no—
613C42—2441no—
614C23—21no—
615C23—611no—
616C23—611no—
617C23—611no—
618C23—611no—
619C23—611no—
620C23—611no—
621C23—1222no—
622C23—1222no—
623C23—1221no—
624C23—4881no—
625C23—4882no—
626C23D4×#692311yescharacteristic
627Q8—21no—
628Q8—612no—
629Q8—1222no—
630Q8—1222no—
631Q8—1221no—
632Q8(C2×#6923)⋊C412yes—
633D4—22no—
634D4—22no—
635D4—21no—
636D4—612no—
637D4—1222no—
638D4—1222no—
639D4—1222no—
640D4—1222no—
641D4—1222no—
642D4—1222no—
643D4—1222no—
644D4—1222no—
645D4—1221no—
646D4(C2×#6923)⋊C412yes—
647C2×C4—21no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—41no—
651C2×C4—611no—
652C2×C4—611no—
653C2×C4—611no—
654C2×C4—611no—
655C2×C4—611no—
656C2×C4—611no—
657C2×C4—611no—
658C2×C4—611no—
659C2×C4—611no—
660C2×C4—611no—
661C2×C4—611no—
662C2×C4—611no—
663C2×C4—611no—
664C2×C4—611no—
665C2×C4—611no—
666C2×C4—611no—
667C2×C4—611no—
668C2×C4—611no—
669C2×C4—611no—
670C2×C4—611no—
671C2×C4—611no—
672C2×C4—611no—
673C2×C4—1222no—
674C2×C4—1222no—
675C2×C4—1222no—
676C2×C4—1222no—
677C2×C4—1222no—
678C2×C4—1222no—
679C2×C4—1221no—
680C2×C4—1222no—
681C2×C4—1222no—
682C2×C4—1224no—
683C2×C4—1224no—
684C2×C4—4882no—
685C2×C4—4882no—
686C2×C4—4882no—
687C2×C4—4882no—
688C2×C4—4888no—
689C2×C4—2442no—
690C2×C4—2441no—
691C2×C4C2×C4×#692311yescharacteristic
692C2×C4C2×C22⋊#692311yescharacteristic
693C2×C4C2×C4⋊#692311yescharacteristic
694C2×C4D4×#692311yescharacteristic
695C2×C4D4×#692311yescharacteristic
696C2×C4D4×#692311yescharacteristic
697C8—41no—
698C8—2442no—
699C8—2441no—
700C22—22no—
701C22—41no—
702C22—81no—
703C22—611no—
704C22—611no—
705C22—611no—
706C22—611no—
707C22—1222no—
708C22—4881no—
709C22—4882no—
710C22—2441no—
711C22—2441no—
712C22—2441no—
713C22—2441no—
714C22—2441no—
715C22—2441no—
716C22—2444no—
717C22C22⋊C4×#692311yescharacteristic
718C22#1684070911yescharacteristic
719C22#1684071011yescharacteristic
720C4—22no—
721C4—81no—
722C4—611no—
723C4—611no—
724C4—611no—
725C4—611no—
726C4—1222no—
727C4—4881no—
728C4—4882no—
729C4—2444no—
730C4—2444no—
731C4C2×(C2×#6923)⋊C411yescharacteristic
732C4C22⋊C4×#692311yescharacteristic
733C4#1684070911yescharacteristic
734C4#1684071011yescharacteristic
735C2—21no—
736C2—21no—
737C2—21no—
738C2—42no—
739C2—1221no—
740C2—1221no—
741C2—1221no—
742C2—1221no—
743C2—2442no—
744C2#2146099211yescharacteristic
subgroupG/H
centerC2#21460992
commutatorC2×C4×C61C2×C42
FrattiniC22×C4C22×#6923
FittingC61×#421C4
socleC2×C61C22⋊#95
prime radicalC2×#41×D61C22
cosocleC22×C4×D61C23
hypercenter#421#6923
hypocenterC61#10783
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2 ◁ C22×C4 ◁ #421

Complements

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

NH ≅ G/Ntype
3. C2×#16840645C2semidirect
4. #21461517C2semidirect
5. #21461499C2semidirect
6. #21461491C2semidirect
11. #16840830C4semidirect
13. #16840829C4semidirect
22. C2×#14519842C4semidirect
23. C2×#14519841C4semidirect
31. #16839780C4semidirect
32. #16839779C4semidirect
33. #16839778C4semidirect
36. C61×#421C4semidirect
42. C2×#11758213C2×C4semidirect
75. C2×C4×#6923C2×C4semidirect
97. C2×#11758194C2×C4semidirect
104. #14519736C2×C4semidirect
115. C2×M16×C61C2×C4semidirect
116. #117×C61C2×C4semidirect
401. #421#6923semidirect
409. C61#10783semidirect
441. C2×M16C2×#6923semidirect
469. #117C2×#6923semidirect

Maximal subgroups

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

subgroupindex
#214627992
C2×#168407592
C2×#168406452
#214615172
#214614992
#214614912
#421×D612
#1078361