Finite Group Databasebeta

← #364341

Subgroups — #364341

Order 512.

1534 conjugacy classes of subgroups.

The subgroup lattice has 743 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#1854C211yesmaximal, characteristic
2C2×#1852C211yesmaximal, characteristic
3C2×#1809C211yesmaximal, characteristic
4C2×#1753C211yesmaximal, characteristic
5C2×#1736C211yesmaximal, characteristic
6#13880C211yesmaximal, characteristic
7#13879C211yesmaximal, characteristic
8#11325C211yesmaximal, characteristic, complemented
9#11324C211yesmaximal, characteristic, complemented
10#11324C211yesmaximal, characteristic, complemented
11#11323C211yesmaximal, characteristic, complemented
12#10863C211yesmaximal, characteristic, complemented
13#10862C211yesmaximal, characteristic, complemented
14#10843C211yesmaximal, characteristic, complemented
15#10841C211yesmaximal, characteristic, complemented
16C23×M16C2211yescharacteristic
17C22×#117C2211yescharacteristic
18C23×C4⋊C4C2211yescharacteristic
19C22×#107C2211yescharacteristic
20C22×#107C2211yescharacteristic
21C22×#107C2211yescharacteristic
22C22×#107C2211yescharacteristic
23C22×#106C2211yescharacteristic
24C22×#106C2211yescharacteristic
25C22×C22⋊C8C2211yescharacteristic
26C22×#97C2211yescharacteristic
27C22×C4×C8C2211yescharacteristic
28C2×#385—22no—
29C2×#384C2211yescharacteristic
30C2×#384C2211yescharacteristic
31C2×#384C2211yescharacteristic
32C2×#382C2211yescharacteristic
33C2×#380C2211yescharacteristic
34C2×#380C2211yescharacteristic
35C2×C4×C22⋊C4C2211yescharacteristic
36#1854—24no—
37#1852—24no—
38#1809—24no—
39#1753C418yescomplemented
40#1736—24no—
41C2×#340C2211yescharacteristic
42C2×#340C2211yescharacteristic
43C2×#340C2211yescharacteristic
44C2×#340C2211yescharacteristic
45C2×#340C2211yescharacteristic
46C2×#340C2211yescharacteristic
47C2×#340C2211yescharacteristic
48C2×#340C2211yescharacteristic
49C2×#340C2211yescharacteristic
50C2×#340C2211yescharacteristic
51C2×#336C2211yescharacteristic
52C2×#336C2211yescharacteristic
53#1444—22no—
54#1439—22no—
55#1436—22no—
56C4⋊#95C2211yescharacteristic
57C4⋊#95C2211yescharacteristic
58C4⋊#95C2211yescharacteristic
59C4⋊#95C2211yescharacteristic
60C24×C4—21no—
61C24×C4C2311yescharacteristic
62C22×M16—41no—
63C22×M16—41no—
64C22×M16—41no—
65C22×M16—41no—
66C22×M16C2×C414yes—
67C22×M16D414yes—
68C22×M16Q814yes—
69C23×C8C2311yescharacteristic
70C23×C8C2311yescharacteristic
71C23×C8C2311yescharacteristic
72C23×C8C2311yescharacteristic
73C2×#117—22no—
74C2×#117—22no—
75C2×#117—22no—
76C2×#117—22no—
77C2×#117—41no—
78C2×#117—41no—
79C22×C4⋊C4—22no—
80C22×C4⋊C4—22no—
81C22×C4⋊C4—22no—
82C22×C4⋊C4—22no—
83C22×C4⋊C4—21no—
84C22×C4⋊C4—22no—
85C22×C4⋊C4—22no—
86C22×C4⋊C4—22no—
87C22×C4⋊C4—41no—
88C22×C4⋊C4—41no—
89C22×C4⋊C4C2311yescharacteristic
90C22×C4⋊C4C2311yescharacteristic
91C22×C4⋊C4C2311yescharacteristic
92C22×C4⋊C4C2311yescharacteristic
93C22×C4⋊C4C2311yescharacteristic
94C22×C4⋊C4C2311yescharacteristic
95C22×C4⋊C4C2311yescharacteristic
96C22×C4⋊C4C2311yescharacteristic
97C22×C22⋊C4—21no—
98C22×C22⋊C4—21no—
99C22×C22⋊C4—21no—
100C22×C22⋊C4D412yes—
101C22×C42—21no—
102C22×C42C2311yescharacteristic
103C22×C42C2311yescharacteristic
104C2×#107—22no—
105C2×#107—22no—
106C2×#107—22no—
107C2×#107—22no—
108C2×#107—22no—
109C2×#107—22no—
110C2×#107—22no—
111C2×#107—41no—
112C2×#107—41no—
113C2×#107—41no—
114C2×#107—41no—
115C2×#107—41no—
116C2×#106—22no—
117C2×#106—22no—
118C2×#106—22no—
119C2×#106—41no—
120C2×#106—41no—
121C2×#106—41no—
122C2×C22⋊C8C2×C414yes—
123C2×C22⋊C8D414yes—
124C2×C22⋊C8Q814yes—
125C2×#97—41no—
126C2×#97—41no—
127C2×#97C2×C414yescomplemented
128C2×C4×C8—41no—
129C2×C4×C8—41no—
130C2×C4×C8C2×C414yescomplemented
131#385—48no—
132#384—22no—
133#384—22no—
134#384—22no—
135#384—41no—
136#384—41no—
137#384—41no—
138#382—22no—
139#382—41no—
140#380—22no—
141#380—22no—
142#380—22no—
143#380—22no—
144C4×C22⋊C4C2×C414yes—
145C4×C22⋊C4Q814yes—
146C2×#95—22no—
147C2×#95—22no—
148C2×#95—22no—
149C2×#95—21no—
150C2×#95—22no—
151C2×#95—21no—
152C2×#95—22no—
153C2×#95D412yes—
154#340—22no—
155#340—22no—
156#340—22no—
157#340—22no—
158#340—22no—
159#340—22no—
160#340—22no—
161#340—22no—
162#340—22no—
163#340—22no—
164#336C2×C414yescomplemented
165#336C2×C414yescomplemented
166C25C2×D411yescharacteristic
167C23×C4—21no—
168C23×C4—21no—
169C23×C4—21no—
170C23×C4—21no—
171C23×C4—21no—
172C23×C4—21no—
173C23×C4—21no—
174C23×C4—21no—
175C23×C4—21no—
176C23×C4—21no—
177C23×C4—21no—
178C23×C4—21no—
179C23×C4—21no—
180C23×C4—21no—
181C23×C4—21no—
182C23×C4—21no—
183C23×C4—42no—
184C23×C4—42no—
185C23×C4—42no—
186C23×C4—44no—
187C23×C4—82no—
188C23×C4C22×C412yes—
189C23×C4C2×D412yes—
190C23×C4C2×D411yescharacteristic
191C23×C4C2×D412yes—
192C23×C4C2×D412yes—
193C23×C4C2×D412yes—
194C23×C4C2×Q812yes—
195C23×C4C2×Q812yes—
196C23×C4C2×Q812yes—
197C23×C4C2411yescharacteristic
198C2×M16—44no—
199C2×M16—44no—
200C2×M16—44no—
201C2×M16—44no—
202C2×M16—44no—
203C2×M16—44no—
204C2×M16C4⋊C4116yescomplemented
205C22×C8—21no—
206C22×C8—21no—
207C22×C8—21no—
208C22×C8—21no—
209C22×C8—21no—
210C22×C8—21no—
211C22×C8—21no—
212C22×C8—21no—
213C22×C8—21no—
214C22×C8—21no—
215C22×C8—21no—
216C22×C8—21no—
217C22×C8—21no—
218C22×C8—21no—
219C22×C8—21no—
220C22×C8—21no—
221C22×C8C22×C412yes—
222C22×C8C22×C412yes—
223C22×C8C22×C412yes—
224C22×C8C22×C412yes—
225C22×C8C2×D412yes—
226C22×C8C2×D412yes—
227C22×C8C2×D412yes—
228C22×C8C2×D412yes—
229C22×C8C2×Q812yes—
230C22×C8C2×Q812yes—
231C22×C8C2×Q812yes—
232C22×C8C2×Q812yes—
233#117—28no—
234#117—44no—
235#117—44no—
236#117—44no—
237C2×C4⋊C4—28no—
238C2×C4⋊C4—21no—
239C2×C4⋊C4—21no—
240C2×C4⋊C4—21no—
241C2×C4⋊C4—21no—
242C2×C4⋊C4—21no—
243C2×C4⋊C4—21no—
244C2×C4⋊C4—21no—
245C2×C4⋊C4—21no—
246C2×C4⋊C4—21no—
247C2×C4⋊C4—21no—
248C2×C4⋊C4—21no—
249C2×C4⋊C4—21no—
250C2×C4⋊C4—21no—
251C2×C4⋊C4—21no—
252C2×C4⋊C4—21no—
253C2×C4⋊C4—21no—
254C2×C4⋊C4—21no—
255C2×C4⋊C4—21no—
256C2×C4⋊C4—21no—
257C2×C4⋊C4—21no—
258C2×C4⋊C4—21no—
259C2×C4⋊C4—21no—
260C2×C4⋊C4—21no—
261C2×C4⋊C4—21no—
262C2×C4⋊C4—21no—
263C2×C4⋊C4—21no—
264C2×C4⋊C4—21no—
265C2×C4⋊C4—21no—
266C2×C4⋊C4—21no—
267C2×C4⋊C4—21no—
268C2×C4⋊C4—21no—
269C2×C4⋊C4—21no—
270C2×C4⋊C4—21no—
271C2×C4⋊C4—21no—
272C2×C4⋊C4—21no—
273C2×C4⋊C4—21no—
274C2×C4⋊C4—21no—
275C2×C4⋊C4—21no—
276C2×C4⋊C4—21no—
277C2×C4⋊C4—21no—
278C2×C4⋊C4—21no—
279C2×C4⋊C4—21no—
280C2×C4⋊C4—21no—
281C2×C4⋊C4—21no—
282C2×C4⋊C4—44no—
283C2×C4⋊C4—44no—
284C2×C4⋊C4—42no—
285C2×C4⋊C4—42no—
286C2×C4⋊C4—44no—
287C2×C4⋊C4—42no—
288C2×C4⋊C4—44no—
289C2×C4⋊C4—44no—
290C2×C4⋊C4—44no—
291C2×C4⋊C4—44no—
292C2×C4⋊C4—44no—
293C2×C4⋊C4—44no—
294C2×C4⋊C4—82no—
295C2×C4⋊C4—82no—
296C2×C4⋊C4—82no—
297C2×C4⋊C4#4112yes—
298C2×C4⋊C4#4112yes—
299C2×C4⋊C4#4112yes—
300C2×C4⋊C4#4112yes—
301C2×C22⋊C4—24no—
302C2×C22⋊C4—24no—
303C2×C22⋊C4—42no—
304C2×C22⋊C4—42no—
305C2×C22⋊C4—42no—
306C2×C22⋊C4—44no—
307C2×C22⋊C4—42no—
308C2×C22⋊C4—42no—
309C2×C22⋊C4—82no—
310C2×C22⋊C4C4⋊C418yes—
311C2×C42—21no—
312C2×C42—21no—
313C2×C42—21no—
314C2×C42—21no—
315C2×C42—21no—
316C2×C42—21no—
317C2×C42—21no—
318C2×C42—21no—
319C2×C42—42no—
320C2×C42—42no—
321C2×C42—42no—
322C2×C42C22×C412yes—
323C2×C42C22×C412yes—
324C2×C42C2×Q812yes—
325C2×C42C2×Q812yes—
326#107—44no—
327#107—44no—
328#107—44no—
329#107—44no—
330#106—44no—
331#106—44no—
332C22⋊C8C4⋊C4116yescomplemented
333#97—44no—
334C4×C8—44no—
335#95—44no—
336#95—44no—
337#95—42no—
338#95—42no—
339#95—44no—
340#95—44no—
341#95—82no—
342#95C4⋊C418yes—
343C24—21no—
344C24—21no—
345C24—21no—
346C24—21no—
347C24—22no—
348C24—22no—
349C24—22no—
350C24—22no—
351C24C2×C4⋊C412yes—
352C24#12712yes—
353C24C4⋊Q812yes—
354C24C22×D411yescharacteristic
355C22×C4—22no—
356C22×C4—22no—
357C22×C4—21no—
358C22×C4—21no—
359C22×C4—21no—
360C22×C4—21no—
361C22×C4—22no—
362C22×C4—22no—
363C22×C4—22no—
364C22×C4—22no—
365C22×C4—22no—
366C22×C4—22no—
367C22×C4—22no—
368C22×C4—22no—
369C22×C4—22no—
370C22×C4—22no—
371C22×C4—22no—
372C22×C4—22no—
373C22×C4—22no—
374C22×C4—22no—
375C22×C4—22no—
376C22×C4—22no—
377C22×C4—22no—
378C22×C4—22no—
379C22×C4—22no—
380C22×C4—22no—
381C22×C4—22no—
382C22×C4—22no—
383C22×C4—22no—
384C22×C4—22no—
385C22×C4—22no—
386C22×C4—22no—
387C22×C4—22no—
388C22×C4—22no—
389C22×C4—22no—
390C22×C4—22no—
391C22×C4—22no—
392C22×C4—22no—
393C22×C4—22no—
394C22×C4—22no—
395C22×C4—22no—
396C22×C4—22no—
397C22×C4—48no—
398C22×C4—41no—
399C22×C4—41no—
400C22×C4—41no—
401C22×C4—41no—
402C22×C4—41no—
403C22×C4—41no—
404C22×C4—41no—
405C22×C4—41no—
406C22×C4—42no—
407C22×C4—42no—
408C22×C4—42no—
409C22×C4—42no—
410C22×C4—42no—
411C22×C4—42no—
412C22×C4—42no—
413C22×C4—42no—
414C22×C4—41no—
415C22×C4—41no—
416C22×C4—41no—
417C22×C4—41no—
418C22×C4—41no—
419C22×C4—41no—
420C22×C4—41no—
421C22×C4—41no—
422C22×C4—41no—
423C22×C4—41no—
424C22×C4—41no—
425C22×C4—41no—
426C22×C4—42no—
427C22×C4—42no—
428C22×C4—42no—
429C22×C4—42no—
430C22×C4—42no—
431C22×C4—42no—
432C22×C4—42no—
433C22×C4—42no—
434C22×C4—88no—
435C22×C4—88no—
436C22×C4—84no—
437C22×C4—84no—
438C22×C4C2×C4⋊C414yes—
439C22×C4C2×C4⋊C414yes—
440C22×C4C2×C4⋊C414yes—
441C22×C4C2×C4⋊C412yes—
442C22×C4C2×C4⋊C414yes—
443C22×C4#12712yes—
444C22×C4C4⋊Q814yes—
445C22×C4C4⋊Q814yes—
446C22×C4C4⋊Q812yes—
447C22×C4AGL(1,ℤ/8)14yes—
448C22×C4#13714yes—
449C22×C4C23×C411yescharacteristic
450C22×C4C22×D411yescharacteristic
451C22×C4C22×D411yescharacteristic
452C22×C4C22×Q811yescharacteristic
453C22×C4C22×Q811yescharacteristic
454C22×C4C22×Q811yescharacteristic
455C22×C4C2×#4111yescharacteristic
456C22×C4C2×#4111yescharacteristic
457C22×C4C2×#4111yescharacteristic
458C22×C4C2×#4111yescharacteristic
459C22×C4H(5,𝔽2)11yescharacteristic
460C22×C4H(5,𝔽2)11yescharacteristic
461C22×C4H(5,𝔽2)11yescharacteristic
462C22×C4H(5,𝔽2)11yescharacteristic
463M16—416no—
464C2×C8—22no—
465C2×C8—22no—
466C2×C8—22no—
467C2×C8—22no—
468C2×C8—22no—
469C2×C8—22no—
470C2×C8—22no—
471C2×C8—22no—
472C2×C8—22no—
473C2×C8—22no—
474C2×C8—22no—
475C2×C8—22no—
476C2×C8—22no—
477C2×C8—22no—
478C2×C8—22no—
479C2×C8—22no—
480C2×C8—22no—
481C2×C8—22no—
482C2×C8—22no—
483C2×C8—22no—
484C2×C8—22no—
485C2×C8—22no—
486C2×C8—22no—
487C2×C8—22no—
488C2×C8C2×C4⋊C414yes—
489C2×C8C2×C4⋊C414yes—
490C2×C8C2×C4⋊C414yes—
491C2×C8C2×C4⋊C414yes—
492C4⋊C4—22no—
493C4⋊C4—22no—
494C4⋊C4—22no—
495C4⋊C4—22no—
496C4⋊C4—22no—
497C4⋊C4—22no—
498C4⋊C4—22no—
499C4⋊C4—22no—
500C4⋊C4—48no—
501C4⋊C4—41no—
502C4⋊C4—41no—
503C4⋊C4—41no—
504C4⋊C4—41no—
505C4⋊C4—41no—
506C4⋊C4—41no—
507C4⋊C4—41no—
508C4⋊C4—41no—
509C4⋊C4—41no—
510C4⋊C4—41no—
511C4⋊C4—41no—
512C4⋊C4—41no—
513C4⋊C4—41no—
514C4⋊C4—41no—
515C4⋊C4—41no—
516C4⋊C4—41no—
517C4⋊C4—41no—
518C4⋊C4—41no—
519C4⋊C4—41no—
520C4⋊C4—41no—
521C4⋊C4—41no—
522C4⋊C4—41no—
523C4⋊C4—41no—
524C4⋊C4—41no—
525C4⋊C4—88no—
526C4⋊C4—88no—
527C4⋊C4—88no—
528C22⋊C4—216no—
529C22⋊C4—48no—
530C22⋊C4—84no—
531C22⋊C4—84no—
532C42—22no—
533C42—22no—
534C42—22no—
535C42—22no—
536C42—22no—
537C42—22no—
538C42—22no—
539C42—22no—
540C42—48no—
541C23—22no—
542C23—22no—
543C23—22no—
544C23—22no—
545C23—22no—
546C23—22no—
547C23—24no—
548C23—24no—
549C23—24no—
550C23—24no—
551C23—22no—
552C23—22no—
553C23—22no—
554C23—22no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23—42no—
562C23—42no—
563C23#38414yes—
564C23C22×C4⋊C411yescharacteristic
565C23C2×#12711yescharacteristic
566C23C2×C4⋊Q811yescharacteristic
567C23#54611yescharacteristic
568C23#54611yescharacteristic
569C23#54611yescharacteristic
570C23#54611yescharacteristic
571C23C2×AGL(1,ℤ/8)12yes—
572C23C2×#13712yes—
573C23#57612yes—
574C23#57812yes—
575C2×C4—24no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—24no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—44no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—44no—
608C2×C4—44no—
609C2×C4—44no—
610C2×C4—816no—
611C2×C4—82no—
612C2×C4—81no—
613C2×C4—81no—
614C2×C4—81no—
615C2×C4—81no—
616C2×C4—81no—
617C2×C4—81no—
618C2×C4—81no—
619C2×C4—81no—
620C2×C4—82no—
621C2×C4—82no—
622C2×C4—82no—
623C2×C4—82no—
624C2×C4—82no—
625C2×C4—81no—
626C2×C4—81no—
627C2×C4—81no—
628C2×C4—81no—
629C2×C4—81no—
630C2×C4—81no—
631C2×C4—81no—
632C2×C4—81no—
633C2×C4—81no—
634C2×C4—81no—
635C2×C4—81no—
636C2×C4—81no—
637C2×C4—82no—
638C2×C4—82no—
639C2×C4—82no—
640C2×C4—82no—
641C2×C4—82no—
642C2×C4—82no—
643C2×C4#38414yes—
644C2×C4#42818yes—
645C2×C4C22×C4⋊C411yescharacteristic
646C2×C4C22×C4⋊C411yescharacteristic
647C2×C4C4×#4111yescharacteristic
648C2×C4C4×#4111yescharacteristic
649C2×C4#51811yescharacteristic
650C2×C4#51811yescharacteristic
651C2×C4#52511yescharacteristic
652C2×C4#52511yescharacteristic
653C2×C4C2×C4⋊Q811yescharacteristic
654C2×C4C2×C4⋊Q811yescharacteristic
655C2×C4#53311yescharacteristic
656C2×C4#53311yescharacteristic
657C2×C4#53411yescharacteristic
658C2×C4#53411yescharacteristic
659C2×C4#54311yescharacteristic
660C2×C4#54311yescharacteristic
661C2×C4#54611yescharacteristic
662C2×C4#54611yescharacteristic
663C2×C4#54611yescharacteristic
664C2×C4#54611yescharacteristic
665C2×C4#55411yescharacteristic
666C2×C4#55411yescharacteristic
667C2×C4#55411yescharacteristic
668C2×C4#55411yescharacteristic
669C2×C4#55411yescharacteristic
670C2×C4#55411yescharacteristic
671C2×C4#55411yescharacteristic
672C2×C4#55411yescharacteristic
673C8—24no—
674C8—24no—
675C8—24no—
676C8—24no—
677C22—24no—
678C22—24no—
679C22—24no—
680C22—44no—
681C22—44no—
682C22—44no—
683C22—44no—
684C22—42no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22C2×#38411yescharacteristic
689C22#234911yescharacteristic
690C22#234911yescharacteristic
691C22#253911yescharacteristic
692C22#253911yescharacteristic
693C22#254911yescharacteristic
694C22#254911yescharacteristic
695C22C2×#42812yes—
696C22#291312yes—
697C22#315111yescharacteristic
698C22#315211yescharacteristic
699C22#315511yescharacteristic
700C22#315611yescharacteristic
701C22#316412yes—
702C22#316512yes—
703C22#330812yes—
704C22#331212yes—
705C22#331412yes—
706C22#331812yes—
707C22#332512yes—
708C22#332812yes—
709C22#333012yes—
710C22#333312yes—
711C4—24no—
712C4—28no—
713C4—44no—
714C4—82no—
715C4—82no—
716C4—82no—
717C4—82no—
718C4—161no—
719C4—161no—
720C4—161no—
721C4—161no—
722C4#229611yescharacteristic
723C4#231511yescharacteristic
724C4#234911yescharacteristic
725C4#234911yescharacteristic
726C4#254911yescharacteristic
727C4#254911yescharacteristic
728C4#258311yescharacteristic
729C4#258311yescharacteristic
730C2—44no—
731C2#1396511yescharacteristic
732C2#2080011yescharacteristic
733C2#2080311yescharacteristic
734C2#2270912yes—
735C2#2271312yes—
736C2#2835311yescharacteristic
737C2#2835511yescharacteristic
738C2#2835811yescharacteristic
739C2#2836011yescharacteristic
740C2#2878112yes—
741C2#2878412yes—
subgroupG/H
center, socleC24C22×D4
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
prime radicalC25C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C4×C22⋊C4 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
8. #11325C2semidirect
9. #11324C2semidirect
10. #11324C2semidirect
11. #11323C2semidirect
12. #10863C2semidirect
13. #10862C2semidirect
14. #10843C2semidirect
15. #10841C2semidirect
39. #1753C4semidirect
127. C2×#97C2×C4semidirect
130. C2×C4×C8C2×C4semidirect
164. #336C2×C4semidirect
165. #336C2×C4semidirect
204. C2×M16C4⋊C4semidirect
332. C22⋊C8C4⋊C4semidirect

Maximal subgroups

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

subgroupindex
C2×#18542
C2×#18522
C2×#18092
C2×#17532
C2×#17362
#138802
#138792
#113252
#113242
#113232
#108632
#108622
#108432
#108412