Finite Group Databasebeta

← #14680530

Subgroups — #14680530

Order 2816.

2242 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622835C211yesmaximal, characteristic
2C2×#10622546C211yesmaximal, characteristic, complemented
3C2×#10622823C212yesmaximal, complemented
4#13066879C211yesmaximal, characteristic, complemented
5#13066866C211yesmaximal, characteristic, complemented
6#13066863C212yesmaximal, complemented
7#13066859C212yesmaximal, complemented
8#13066857C211yesmaximal, characteristic
9#13066843C211yesmaximal, characteristic, complemented
10#13066839C212yesmaximal, complemented
11C22×C4×D4×C11C211yesmaximal, characteristic
12C23×D4×C11C2211yescharacteristic
13C24×C4×C11C2212yes—
14C2×C4×D4×C11—28no—
15C2×C4×D4×C11—24no—
16C22×C11×C4⋊C4C2211yescharacteristic
17C22×C11×C22⋊C4C2212yes—
18C22×C42×C11C2211yescharacteristic
19C22×C22⋊Dic11C2212yes—
20C22×C22⋊Dic11C2212yes—
21C22×C22⋊Dic11C2212yes—
22C22×C22⋊Dic11C2212yes—
23C22×Dic11⋊C4C2211yescharacteristic
24C22×Dic11⋊C4C2211yescharacteristic
25C22×Dic11⋊C4C2212yes—
26#10622835C418yescomplemented
27#10622823—28no—
28C2×C11⋊#95C2211yescharacteristic
29C2×C11⋊#95C2212yes—
30C2×C11⋊#95C2211yescharacteristic
31C2×C11⋊#95C2211yescharacteristic
32C2×C11⋊#95C2211yescharacteristic
33C2×C11⋊#95C2211yescharacteristic
34C2×C11⋊#95C2212yes—
35C2×C11⋊#95C2212yes—
36C2×C11⋊#95C2212yes—
37C2×C11⋊#95C2212yes—
38C2×C11⋊#95C2211yescharacteristic
39#10622546—24no—
40C25×C11C2312yes—
41C22×D4×C11—24no—
42C22×D4×C11—24no—
43C22×D4×C11—22no—
44C22×D4×C11—22no—
45C22×D4×C11C2×C414yes—
46C23×C4×C11—24no—
47C23×C4×C11—24no—
48C23×C4×C11—42no—
49C23×C4×C11—42no—
50C23×C4×C11—42no—
51C23×C4×C11—42no—
52C23×C4×C11D418yes—
53C23×C4×C11C2312yes—
54C23×C4×C11C2311yescharacteristic
55C23×C4×C11C2311yescharacteristic
56C23×C4×C11C2311yescharacteristic
57C23×Dic11C2311yescharacteristic
58C23×Dic11C2311yescharacteristic
59C23×Dic11C2312yes—
60C23×Dic11C2311yescharacteristic
61C23×Dic11C2311yescharacteristic
62C23×Dic11C2312yes—
63C4×D4×C11—232no—
64C2×C11×C4⋊C4—24no—
65C2×C11×C4⋊C4—22no—
66C2×C11×C22⋊C4—24no—
67C2×C11×C22⋊C4—24no—
68C2×C11×C22⋊C4—24no—
69C2×C42×C11—24no—
70C2×C42×C11D414yes—
71C2×C22⋊Dic11—24no—
72C2×C22⋊Dic11—24no—
73C2×C22⋊Dic11—24no—
74C2×C22⋊Dic11—24no—
75C2×C22⋊Dic11—42no—
76C2×C22⋊Dic11—42no—
77C2×C22⋊Dic11—42no—
78C2×C22⋊Dic11—42no—
79C2×C22⋊Dic11—42no—
80C2×C22⋊Dic11—42no—
81C2×C22⋊Dic11C2×C418yescomplemented
82C2×C22⋊Dic11C2×C418yescomplemented
83C2×Dic11⋊C4—22no—
84C2×Dic11⋊C4—22no—
85C2×Dic11⋊C4—22no—
86C2×Dic11⋊C4—24no—
87C2×Dic11⋊C4—24no—
88C2×Dic11⋊C4—42no—
89C2×Dic11⋊C4—42no—
90C2×Dic11⋊C4C2×C414yescomplemented
91C11⋊#95—22no—
92C11⋊#95—22no—
93C11⋊#95—22no—
94C11⋊#95—22no—
95C11⋊#95—24no—
96C11⋊#95—24no—
97C11⋊#95—22no—
98C11⋊#95—42no—
99C11⋊#95—42no—
100C11⋊#95—42no—
101C11⋊#95C2×C414yescomplemented
102#14300—111nomaximal, Sylow
103C24×C11—22no—
104C24×C11—22no—
105C24×C11—22no—
106C24×C11—22no—
107C24×C11—22no—
108C24×C11—22no—
109C24×C11—22no—
110C24×C11—22no—
111C24×C11—22no—
112C24×C11—22no—
113C24×C11—22no—
114C24×C11—22no—
115C24×C11C22×C414yes—
116C24×C11C2×D414yes—
117C24×C11#4114yes—
118C24×C11C2411yescharacteristic
119C2×D4×C11—28no—
120C2×D4×C11—28no—
121C2×D4×C11—216no—
122C2×D4×C11—216no—
123C2×D4×C11—28no—
124C22×C4×C11—22no—
125C22×C4×C11—22no—
126C22×C4×C11—21no—
127C22×C4×C11—22no—
128C22×C4×C11—21no—
129C22×C4×C11—22no—
130C22×C4×C11—22no—
131C22×C4×C11—22no—
132C22×C4×C11—21no—
133C22×C4×C11—22no—
134C22×C4×C11—22no—
135C22×C4×C11—22no—
136C22×C4×C11—22no—
137C22×C4×C11—22no—
138C22×C4×C11—21no—
139C22×C4×C11—216no—
140C22×C4×C11—48no—
141C22×C4×C11—48no—
142C22×C4×C11—48no—
143C22×C4×C11—48no—
144C22×C4×C11—48no—
145C22×C4×C11—48no—
146C22×C4×C11C22×C412yes—
147C22×C4×C11C2×D412yes—
148C22×C4×C11C2×D414yes—
149C22×C4×C11C2×D412yes—
150C22×C4×C11C2×D414yes—
151C22×C4×C11C2×D412yes—
152C22×C4×C11#4112yes—
153C22×Dic11—21no—
154C22×Dic11—21no—
155C22×Dic11—22no—
156C22×Dic11—22no—
157C22×Dic11—21no—
158C22×Dic11—21no—
159C22×Dic11—22no—
160C22×Dic11—22no—
161C22×Dic11—21no—
162C22×Dic11—21no—
163C22×Dic11—22no—
164C22×Dic11—22no—
165C22×Dic11—22no—
166C22×Dic11—22no—
167C22×Dic11—22no—
168C22×Dic11—21no—
169C22×Dic11—22no—
170C22×Dic11—22no—
171C22×Dic11—22no—
172C22×Dic11—21no—
173C22×Dic11—21no—
174C22×Dic11—22no—
175C22×Dic11—22no—
176C22×Dic11—22no—
177C22×Dic11—21no—
178C22×Dic11—22no—
179C22×Dic11—22no—
180C22×Dic11—21no—
181C22×Dic11—21no—
182C22×Dic11—22no—
183C22×Dic11—21no—
184C22×Dic11—21no—
185C22×Dic11—22no—
186C22×Dic11C22×C414yes—
187C22×Dic11C22×C412yes—
188C22×Dic11C22×C412yes—
189C11×C4⋊C4—28no—
190C11×C22⋊C4—216no—
191C42×C11—28no—
192C22⋊Dic11—216no—
193C22⋊Dic11—48no—
194C22⋊Dic11—48no—
195C22⋊Dic11—48no—
196Dic11⋊C4—28no—
197Dic11⋊C4—48no—
198Dic11⋊C4—44no—
199C22×C4×D4D1111yescharacteristic
200C2×#394—111no—
201C2×#387—111no—
202C2×#385—112no—
203#1444—111no—
204#1441—111no—
205#1440—112no—
206#1439—112no—
207#1438—111no—
208#1434—111no—
209C22⋊#95—112no—
210C23×C11—24no—
211C23×C11—24no—
212C23×C11—24no—
213C23×C11—24no—
214C23×C11—24no—
215C23×C11—24no—
216C23×C11—24no—
217C23×C11—24no—
218C23×C11—24no—
219C23×C11—24no—
220C23×C11—24no—
221C23×C11—24no—
222C23×C11—24no—
223C23×C11—24no—
224C23×C11—24no—
225C23×C11—24no—
226C23×C11—24no—
227C23×C11—24no—
228C23×C11—42no—
229C23×C11—42no—
230C23×C11—42no—
231C23×C11—42no—
232C23×C11—42no—
233C23×C11—42no—
234C23×C11—42no—
235C23×C11—42no—
236C23×C11—42no—
237C23×C11—42no—
238C23×C11—42no—
239C23×C11—42no—
240C23×C11—42no—
241C23×C11—42no—
242C23×C11—42no—
243C23×C11—42no—
244C23×C11C4×D418yes—
245C23×C11C23×C411yescharacteristic
246C23×C11C22×D412yes—
247C23×C11C22×D411yescharacteristic
248C23×C11C2×#4112yes—
249C23×C11C2×#4111yescharacteristic
250C23×C11H(5,𝔽2)11yescharacteristic
251C23×C11H(5,𝔽2)12yes—
252C23×C11H(5,𝔽2)11yescharacteristic
253C23×C11H(5,𝔽2)11yescharacteristic
254C23×C112−1+411yescharacteristic
255C23×C112−1+412yes—
256D4×C11—232no—
257C2×C4×C11—24no—
258C2×C4×C11—22no—
259C2×C4×C11—22no—
260C2×C4×C11—24no—
261C2×C4×C11—24no—
262C2×C4×C11—24no—
263C2×C4×C11—22no—
264C2×C4×C11—22no—
265C2×C4×C11—22no—
266C2×C4×C11—24no—
267C2×C4×C11—24no—
268C2×C4×C11—24no—
269C2×C4×C11—22no—
270C2×C4×C11—22no—
271C2×C4×C11—432no—
272C2×C4×C11—42no—
273C2×C4×C11—42no—
274C2×C4×C11—42no—
275C2×C4×C11—42no—
276C2×C4×C11—42no—
277C2×C4×C11—42no—
278C2×C4×C11C4×D414yes—
279C2×C4×C11#12014yes—
280C2×Dic11—22no—
281C2×Dic11—22no—
282C2×Dic11—24no—
283C2×Dic11—24no—
284C2×Dic11—22no—
285C2×Dic11—24no—
286C2×Dic11—22no—
287C2×Dic11—24no—
288C2×Dic11—41no—
289C2×Dic11—42no—
290C2×Dic11—41no—
291C2×Dic11—42no—
292C2×Dic11—41no—
293C2×Dic11—41no—
294C2×Dic11—42no—
295C2×Dic11—42no—
296C2×Dic11—42no—
297C2×Dic11—41no—
298C2×Dic11—41no—
299C2×Dic11—41no—
300C2×Dic11—42no—
301C2×Dic11—41no—
302C2×Dic11—42no—
303C2×Dic11—42no—
304C2×Dic11—42no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—42no—
309C2×Dic11—41no—
310C2×Dic11—42no—
311C2×Dic11—42no—
312C2×Dic11—42no—
313C2×Dic11—42no—
314C2×Dic11—42no—
315C2×Dic11—42no—
316C23×D4C2×D1111yescharacteristic
317C24×C4C2×D1112yes—
318C2×C4×D4—28no—
319C2×C4×D4—24no—
320C22×C4⋊C4—111no—
321C22×C4⋊C4—111no—
322C22×C4⋊C4—112no—
323C22×C4⋊C4C2×D1111yescharacteristic
324C22×C22⋊C4—112no—
325C22×C22⋊C4—112no—
326C22×C22⋊C4—112no—
327C22×C22⋊C4—112no—
328C22×C22⋊C4C2×D1112yes—
329C22×C42C2×D1111yescharacteristic
330#394—118no—
331#387—224no—
332#385—228no—
333C2×#95—111no—
334C2×#95—111no—
335C2×#95—112no—
336C2×#95—111no—
337C2×#95—111no—
338C2×#95—111no—
339C2×#95—111no—
340C2×#95—112no—
341C2×#95—112no—
342C2×#95—112no—
343C2×#95—112no—
344C22×C11—28no—
345C22×C11—28no—
346C22×C11—28no—
347C22×C11—44no—
348C22×C11—44no—
349C22×C11—44no—
350C22×C11—44no—
351C22×C11—44no—
352C22×C11—44no—
353C22×C11—44no—
354C22×C11—44no—
355C22×C11—44no—
356C22×C11—44no—
357C22×C11—44no—
358C22×C11—44no—
359C22×C11C2×C4×D412yes—
360C22×C11C2×C4×D411yescharacteristic
361C22×C11#51811yescharacteristic
362C22×C11#52011yescharacteristic
363C22×C11#52012yes—
364C22×C11C2×#12011yescharacteristic
365C22×C11#52512yes—
366C22×C11#52511yescharacteristic
367C22×C11#53412yes—
368C22×C11#53412yes—
369C22×C11#53511yescharacteristic
370C22×C11#53511yescharacteristic
371C22×C11#53612yes—
372C22×C11#53611yescharacteristic
373C22×C11#53711yescharacteristic
374C22×C11#53712yes—
375C22×C11#53812yes—
376C22×C11#53912yes—
377C22×C11#53912yes—
378C22×C11#53912yes—
379C22×C11#54011yescharacteristic
380C22×C11#54211yescharacteristic
381C22×C11#54212yes—
382C4×C11—24no—
383C4×C11—24no—
384C4×C11—44no—
385C4×C11—42no—
386Dic11—42no—
387Dic11—44no—
388Dic11—42no—
389Dic11—81no—
390Dic11—82no—
391Dic11—81no—
392C25C22×D1112yes—
393C22×D4—24no—
394C22×D4—24no—
395C22×D4—22no—
396C22×D4—22no—
397C22×D4C4×D1114yes—
398C23×C4—24no—
399C23×C4—24no—
400C23×C4—42no—
401C23×C4—42no—
402C23×C4—42no—
403C23×C4—42no—
404C23×C4—111no—
405C23×C4—112no—
406C23×C4—111no—
407C23×C4—111no—
408C23×C4—112no—
409C23×C4—111no—
410C23×C4C22⋊D1118yes—
411C23×C4C22×D1111yescharacteristic
412C23×C4C22×D1112yes—
413C23×C4C22×D1111yescharacteristic
414C23×C4C22×D1111yescharacteristic
415C4×D4—232no—
416C2×C4⋊C4—24no—
417C2×C4⋊C4—22no—
418C2×C4⋊C4—114no—
419C2×C4⋊C4—222no—
420C2×C4⋊C4—222no—
421C2×C4⋊C4—224no—
422C2×C4⋊C4—224no—
423C2×C4⋊C4—222no—
424C2×C4⋊C4—442no—
425C2×C4⋊C4—442no—
426C2×C22⋊C4—24no—
427C2×C22⋊C4—24no—
428C2×C22⋊C4—24no—
429C2×C22⋊C4—118no—
430C2×C22⋊C4—118no—
431C2×C22⋊C4—224no—
432C2×C22⋊C4—224no—
433C2×C22⋊C4—224no—
434C2×C22⋊C4—224no—
435C2×C22⋊C4—442no—
436C2×C22⋊C4—442no—
437C2×C22⋊C4—442no—
438C2×C22⋊C4—442no—
439C2×C22⋊C4—442no—
440C2×C22⋊C4—442no—
441C2×C42—24no—
442C2×C42C22⋊D1114yes—
443#95—114no—
444#95—222no—
445#95—224no—
446#95—224no—
447#95—222no—
448#95—222no—
449#95—222no—
450#95—222no—
451#95—442no—
452#95—442no—
453#95—442no—
454C2×C11—48no—
455C2×C11C4×#12011yescharacteristic
456C2×C11#232212yes—
457C2×C11#232411yescharacteristic
458C2×C11#232512yes—
459C2×C11#232611yescharacteristic
460C2×C11#261311yescharacteristic
461C2×C11#261611yescharacteristic
462C2×C11#263012yes—
463C2×C11#263311yescharacteristic
464C2×C11#263611yescharacteristic
465C2×C11#263812yes—
466C24—22no—
467C24—22no—
468C24—22no—
469C24—22no—
470C24—22no—
471C24—22no—
472C24—22no—
473C24—22no—
474C24—22no—
475C24—22no—
476C24—22no—
477C24—22no—
478C24C2×C4×D1114yes—
479C24#433914yes—
480C24C2×C22⋊D1114yes—
481C24C23×D1111yescharacteristic
482C2×D4—28no—
483C2×D4—216no—
484C2×D4—28no—
485C2×D4—216no—
486C2×D4—28no—
487C22×C4—22no—
488C22×C4—21no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—21no—
497C22×C4—22no—
498C22×C4—21no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—216no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—48no—
506C22×C4—48no—
507C22×C4—48no—
508C22×C4—48no—
509C22×C4—114no—
510C22×C4—112no—
511C22×C4—112no—
512C22×C4—222no—
513C22×C4—222no—
514C22×C4—221no—
515C22×C4—221no—
516C22×C4—221no—
517C22×C4—222no—
518C22×C4—221no—
519C22×C4—222no—
520C22×C4—222no—
521C22×C4—221no—
522C22×C4—221no—
523C22×C4—222no—
524C22×C4—221no—
525C22×C4—222no—
526C22×C4—222no—
527C22×C4—221no—
528C22×C4—222no—
529C22×C4—222no—
530C22×C4—222no—
531C22×C4—222no—
532C22×C4—222no—
533C22×C4—221no—
534C22×C4—222no—
535C22×C4—222no—
536C22×C4—221no—
537C22×C4—222no—
538C22×C4—221no—
539C22×C4—222no—
540C22×C4—221no—
541C22×C4—221no—
542C22×C4—222no—
543C22×C4—221no—
544C22×C4—222no—
545C22×C4C2×C4×D1112yes—
546C22×C4#433912yes—
547C22×C4C2×C22⋊D1112yes—
548C22×C4C2×C22⋊D1114yes—
549C22×C4C2×C22⋊D1112yes—
550C22×C4C2×C22⋊D1114yes—
551C22×C4C2×C22⋊D1112yes—
552C4⋊C4—28no—
553C4⋊C4—228no—
554C4⋊C4—448no—
555C4⋊C4—444no—
556C22⋊C4—216no—
557C22⋊C4—2216no—
558C22⋊C4—448no—
559C22⋊C4—448no—
560C22⋊C4—448no—
561C42—28no—
562C11#1430011yescharacteristic, complemented, Sylow
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—42no—
582C23—42no—
583C23—42no—
584C23—42no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23C4×C22⋊D1118yes—
598C23C22×C4×D1111yescharacteristic
599C23C2×#433912yes—
600C23C2×#433911yescharacteristic
601C23#6703711yescharacteristic
602C23#6703712yes—
603C23#6703711yescharacteristic
604C23#6704211yescharacteristic
605C23#6704311yescharacteristic
606C23#6704312yes—
607C23C22×C22⋊D1112yes—
608C23C22×C22⋊D1111yescharacteristic
609D4—232no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—22no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—24no—
624C2×C4—432no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—224no—
632C2×C4—224no—
633C2×C4—222no—
634C2×C4—222no—
635C2×C4—222no—
636C2×C4—224no—
637C2×C4—222no—
638C2×C4—224no—
639C2×C4—442no—
640C2×C4—441no—
641C2×C4—442no—
642C2×C4—441no—
643C2×C4—442no—
644C2×C4—441no—
645C2×C4—441no—
646C2×C4—442no—
647C2×C4—441no—
648C2×C4—442no—
649C2×C4—441no—
650C2×C4—442no—
651C2×C4—441no—
652C2×C4—442no—
653C2×C4—442no—
654C2×C4—442no—
655C2×C4—441no—
656C2×C4—441no—
657C2×C4—441no—
658C2×C4—442no—
659C2×C4—442no—
660C2×C4—442no—
661C2×C4—442no—
662C2×C4—442no—
663C2×C4—442no—
664C2×C4—442no—
665C2×C4—441no—
666C2×C4—441no—
667C2×C4C4×C22⋊D1114yes—
668C2×C4#6700614yes—
669C22—28no—
670C22—28no—
671C22—28no—
672C22—44no—
673C22—44no—
674C22—44no—
675C22—44no—
676C22—44no—
677C22—44no—
678C22—44no—
679C22—44no—
680C22—44no—
681C22—44no—
682C22—44no—
683C22—44no—
684C22#1062307611yescharacteristic
685C22#1062307711yescharacteristic
686C22#1062307712yes—
687C22#1062309112yes—
688C22#1062309212yes—
689C22#1062309211yescharacteristic
690C22#1062309311yescharacteristic
691C22#1062309512yes—
692C22#1062309512yes—
693C22#1062309512yes—
694C22C2×C4×C22⋊D1112yes—
695C22C2×C4×C22⋊D1111yescharacteristic
696C22#1062332212yes—
697C22#1062332211yescharacteristic
698C22#1062333512yes—
699C22#1062333512yes—
700C22#1062333611yescharacteristic
701C22#1062333611yescharacteristic
702C22#1062335611yescharacteristic
703C22#1062335612yes—
704C22#1062336412yes—
705C22#1062336411yescharacteristic
706C22C2×#6700611yescharacteristic
707C4—24no—
708C4—24no—
709C4—44no—
710C4—42no—
711C4—442no—
712C4—442no—
713C4—444no—
714C4—882no—
715C4—881no—
716C4—881no—
717C2—48no—
718C2C4×#6700611yescharacteristic
719C2#1307128112yes—
720C2#1307130311yescharacteristic
721C2#1307131412yes—
722C2#1307132811yescharacteristic
723C2#1307432811yescharacteristic
724C2#1307434511yescharacteristic
725C2#1307445312yes—
726C2#1307448411yescharacteristic
727C2#1307451111yescharacteristic
728C2#1307453312yes—
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC22×C4×D4×C11C2
socle, cosocleC24×C11C24
prime radicalC23×D4×C11C22
hypercenterC22×C4×D4D11
hypocenterC11#14300
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
2. C2×#10622546C2semidirect
3. C2×#10622823C2semidirect
4. #13066879C2semidirect
5. #13066866C2semidirect
6. #13066863C2semidirect
7. #13066859C2semidirect
9. #13066843C2semidirect
10. #13066839C2semidirect
26. #10622835C4semidirect
81. C2×C22⋊Dic11C2×C4semidirect
82. C2×C22⋊Dic11C2×C4semidirect
90. C2×Dic11⋊C4C2×C4semidirect
101. C11⋊#95C2×C4semidirect
562. C11#14300semidirect

Maximal subgroups

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

subgroupindex
C2×#106228352
C2×#106225462
C2×#106228232
#130668792
#130668662
#130668632
#130668592
#130668572
#130668432
#130668392
C22×C4×D4×C112
#1430011