Finite Group Databasebeta

← C2×#13071597 #14913264

Subgroups — C2×#13071597 #14913264

Order 2816.

5942 conjugacy classes of subgroups.

The subgroup lattice has 632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66990C211yesmaximal, characteristic
2C22×(C22⋊D11)⋊C4C212yesmaximal, complemented
3C22×C22⋊C4×D11C212yesmaximal, complemented
4#13071597C2116yesmaximal, direct product factor
5C2×#10622557C212yesmaximal, complemented
6C2×#10622833C211yesmaximal, characteristic, complemented
7C2×#10622569C212yesmaximal, complemented
8C2×#10622602C212yesmaximal, complemented
9C2×C4×(C2×D11)⋊C4C212yesmaximal, complemented
10C2×C11×#390C211yesmaximal, characteristic, complemented
11C25×D11C2211yescharacteristic
12C23×D4×C11C2211yescharacteristic
13C23×C22⋊D11C2212yes—
14C24×Dic11C2211yescharacteristic, complemented
15C23×C4×D11C2212yes—
16C23×C4×D11C2212yes—
17C22×C11×C4⋊C4C2211yescharacteristic, complemented
18C22×C11×C22⋊C4C2212yes—
19C22×C11×C22⋊C4C2212yescomplemented
20C22×C42×C11C2211yescharacteristic, complemented
21C22×C22⋊Dic11C2212yes—
22C22×C22⋊Dic11C2211yescharacteristic
23C22×C22⋊Dic11C2211yescharacteristic, complemented
24C2×#66990C4116yescomplemented
25C2×#66990C2218yes—
26C22×(C2×D11)⋊C4C2212yes—
27C22×(C2×D11)⋊C4C2212yes—
28C22×(C2×D11)⋊C4C2212yes—
29C22×Dic11⋊C4C2212yescomplemented
30C22×C4×Dic11C2212yescomplemented
31C2×(C22⋊D11)⋊C4—216no—
32C2×(C22⋊D11)⋊C4C22116yescomplemented
33C2×C22⋊C4×D11—216no—
34C2×C22⋊C4×D11C22116yescomplemented
35C11×#390C2218yescomplemented
36#10622833C2218yescomplemented
37C2×C11⋊#95C2212yescomplemented
38C2×C11⋊#95C2212yescomplemented
39C2×C11⋊#95C2212yescomplemented
40#10622602C22116yescomplemented
41#10622569C22116yescomplemented
42#10622557C22116yescomplemented
43C4×(C2×D11)⋊C4C22116yescomplemented
44C25×C11C2311yescharacteristic
45C25×C11C2311yescharacteristic
46C24×D11—28no—
47C24×D11—28no—
48C24×D11—42no—
49C24×D11—42no—
50C24×D11C2×C418yescomplemented
51C24×D11C2314yes—
52C24×D11C2312yes—
53C22×D4×C11—42no—
54C22×D4×C11—42no—
55C22×D4×C11C2×C418yescomplemented
56C22×D4×C11C2314yes—
57C23×C4×C11C2312yes—
58C23×C4×C11C2311yescharacteristic
59C23×C4×C11C2312yes—
60C22×C22⋊D11—28no—
61C22×C22⋊D11—28no—
62C22×C22⋊D11C2×C4116yescomplemented
63C22×C22⋊D11C2318yes—
64C23×Dic11—28no—
65C23×Dic11—42no—
66C23×Dic11C2312yes—
67C23×Dic11C2312yes—
68C23×Dic11C2312yes—
69C23×Dic11C2314yescomplemented
70C22×C4×D11—28no—
71C22×C4×D11—28no—
72C22×C4×D11—28no—
73C22×C4×D11—28no—
74C22×C4×D11—44no—
75C22×C4×D11—44no—
76C22×C4×D11C2318yes—
77C22×C4×D11C2318yes—
78C2×C11×C4⋊C4—42no—
79C2×C11×C4⋊C4C2314yescomplemented
80C2×C11×C22⋊C4—28no—
81C2×C11×C22⋊C4—28no—
82C2×C11×C22⋊C4C2318yes—
83C2×C11×C22⋊C4C2318yescomplemented
84C2×C42×C11—42no—
85C2×C42×C11C2314yescomplemented
86C2×C22⋊Dic11—28no—
87C2×C22⋊Dic11—42no—
88C2×C22⋊Dic11C2×C418yescomplemented
89C2×C22⋊Dic11C2318yes—
90C2×C22⋊Dic11C2314yes—
91C2×C22⋊Dic11C2314yescomplemented
92#66990C2×C4164yescomplemented
93C2×(C2×D11)⋊C4—28no—
94C2×(C2×D11)⋊C4C2×C4116yescomplemented
95C2×(C2×D11)⋊C4D4116yescomplemented
96C2×(C2×D11)⋊C4C2318yes—
97C2×(C2×D11)⋊C4C2318yes—
98C2×(C2×D11)⋊C4C2318yes—
99C2×Dic11⋊C4—28no—
100C2×Dic11⋊C4C2318yescomplemented
101C2×C4×Dic11—28no—
102C2×C4×Dic11C2318yescomplemented
103(C22⋊D11)⋊C4—264no—
104C22⋊C4×D11—264no—
105C11⋊#95C2318yescomplemented
106C11⋊#95C2318yescomplemented
107C11⋊#95C2318yescomplemented
108C2×#2358—111nomaximal, Sylow
109C24×C11—24no—
110C24×C11—24no—
111C24×C11—24no—
112C24×C11—24no—
113C24×C11—22no—
114C24×C11—22no—
115C24×C11—22no—
116C24×C11—22no—
117C24×C11C22×C414yes—
118C24×C11C22×C414yes—
119C24×C11C2412yes—
120C24×C11C2412yes—
121C24×C11C2411yescharacteristic
122C23×D11—24no—
123C23×D11—24no—
124C23×D11—24no—
125C23×D11—24no—
126C23×D11—264no—
127C23×D11—216no—
128C23×D11—216no—
129C23×D11—416no—
130C23×D11—44no—
131C23×D11—44no—
132C23×D11—416no—
133C23×D11—432no—
134C23×D11—416no—
135C23×D11C22×C418yes—
136C23×D11C22×C4116yescomplemented
137C23×D11C2×D418yes—
138C23×D11#4118yes—
139C23×D11C2414yes—
140C2×D4×C11—416no—
141C2×D4×C11—44no—
142C2×D4×C11—44no—
143C2×D4×C11C22×C4116yescomplemented
144C22×C4×C11—24no—
145C22×C4×C11—24no—
146C22×C4×C11—22no—
147C22×C4×C11—22no—
148C22×C4×C11—24no—
149C22×C4×C11—24no—
150C22×C4×C11—24no—
151C22×C4×C11C22×C414yes—
152C22×C4×C11C2×D418yes—
153C22×C4×C11C2414yes—
154C22×C4×C11C2412yes—
155C22×C4×C11C2414yes—
156C2×C22⋊D11—264no—
157C2×C22⋊D11—216no—
158C2×C22⋊D11—216no—
159C2×C22⋊D11C22×C4132yescomplemented
160C22×Dic11—216no—
161C22×Dic11—24no—
162C22×Dic11—24no—
163C22×Dic11—24no—
164C22×Dic11—24no—
165C22×Dic11—24no—
166C22×Dic11—24no—
167C22×Dic11—24no—
168C22×Dic11—44no—
169C22×Dic11—416no—
170C22×Dic11C22×C418yes—
171C22×Dic11C2×D418yes—
172C22×Dic11C2414yes—
173C22×Dic11C2414yes—
174C22×Dic11C2414yes—
175C2×C4×D11—216no—
176C2×C4×D11—216no—
177C2×C4×D11—216no—
178C2×C4×D11—216no—
179C2×C4×D11—48no—
180C2×C4×D11—48no—
181C2×C4×D11—432no—
182C2×C4×D11—432no—
183C11×C4⋊C4—44no—
184C11×C22⋊C4—216no—
185C11×C22⋊C4—216no—
186C42×C11—44no—
187C22⋊Dic11—216no—
188C22⋊Dic11—44no—
189C22⋊Dic11C22×C4116yescomplemented
190(C2×D11)⋊C4—216no—
191(C2×D11)⋊C4C22×C4132yescomplemented
192(C2×D11)⋊C4C2×D4132yescomplemented
193Dic11⋊C4—216no—
194C4×Dic11—216no—
195C22×#120—111no—
196C22×C4×D4—112no—
197C23×C22⋊C4—112no—
198#2358—1116no—
199C2×#390D1111yescharacteristic, complemented
200C2×#388—112no—
201C2×#386—111no—
202C2×#386—112no—
203C2×#385—112no—
204C2×C4×C22⋊C4—112no—
205C23×C11—216no—
206C23×C11—216no—
207C23×C11—28no—
208C23×C11—28no—
209C23×C11—24no—
210C23×C11—24no—
211C23×C11—24no—
212C23×C11—24no—
213C23×C11—22no—
214C23×C11—22no—
215C23×C11—22no—
216C23×C11—22no—
217C23×C11—44no—
218C23×C11—44no—
219C23×C11—48no—
220C23×C11—48no—
221C23×C11—44no—
222C23×C11—44no—
223C23×C11C23×C414yes—
224C23×C11C23×C414yes—
225C23×C11C23×C412yes—
226C23×C11C22×D414yes—
227C23×C11C2×#4114yes—
228C23×C11H(5,𝔽2)12yes—
229C23×C11H(5,𝔽2)12yes—
230C23×C11C2511yescharacteristic
231C22×D11—216no—
232C22×D11—216no—
233C22×D11—216no—
234C22×D11—216no—
235C22×D11—216no—
236C22×D11—216no—
237C22×D11—24no—
238C22×D11—24no—
239C22×D11—24no—
240C22×D11—24no—
241C22×D11—264no—
242C22×D11—416no—
243C22×D11—4128no—
244C22×D11—416no—
245C22×D11—432no—
246C22×D11—416no—
247C22×D11C4×D4132yescomplemented
248C22×D11C23×C418yes—
249C22×D11C22×D418yes—
250C22×D11C2×#4118yes—
251D4×C11—416no—
252C2×C4×C11—28no—
253C2×C4×C11—216no—
254C2×C4×C11—24no—
255C2×C4×C11—24no—
256C2×C4×C11—22no—
257C2×C4×C11—22no—
258C2×C4×C11—24no—
259C2×C4×C11—24no—
260C2×C4×C11—24no—
261C2×C4×C11—48no—
262C2×C4×C11C23×C414yes—
263C2×C4×C11C22×D418yes—
264C22⋊D11—264no—
265C2×Dic11—216no—
266C2×Dic11—216no—
267C2×Dic11—24no—
268C2×Dic11—24no—
269C2×Dic11—24no—
270C2×Dic11—24no—
271C2×Dic11—24no—
272C2×Dic11—24no—
273C2×Dic11—24no—
274C2×Dic11—416no—
275C2×Dic11—48no—
276C2×Dic11C23×C418yes—
277C2×Dic11C22×D418yes—
278C4×D11—432no—
279C4×D11—432no—
280C26—111no—
281C23×D4—112no—
282C23×D4C2×D1111yescharacteristic
283C24×C4—111no—
284C24×C4—112no—
285C24×C4—112no—
286C2×#120—118no—
287C2×#120—1116no—
288C2×C4×D4—1116no—
289C2×C4×D4—2216no—
290C22×C4⋊C4—112no—
291C22×C4⋊C4C2×D1111yescharacteristic, complemented
292C22×C22⋊C4—111no—
293C22×C22⋊C4—112no—
294C22×C22⋊C4—112no—
295C22×C22⋊C4—112no—
296C22×C22⋊C4—112no—
297C22×C22⋊C4—111no—
298C22×C22⋊C4—1116no—
299C22×C22⋊C4—2216no—
300C22×C22⋊C4C2×D1112yes—
301C22×C22⋊C4C2×D1112yescomplemented
302C22×C42—112no—
303C22×C42C2×D1111yescharacteristic, complemented
304#390C2×D1118yescomplemented
305#388—1116no—
306#386—118no—
307#386—1116no—
308#385—1116no—
309C4×C22⋊C4—1116no—
310C2×#95—112no—
311C2×#95—112no—
312C2×#95—112no—
313C22×C11—28no—
314C22×C11—28no—
315C22×C11—24no—
316C22×C11—24no—
317C22×C11—416no—
318C22×C11—416no—
319C22×C11—42no—
320C22×C11—42no—
321C22×C11—44no—
322C22×C11—44no—
323C22×C11—42no—
324C22×C11—42no—
325C22×C11C2×C4×D418yes—
326C22×C11#51814yes—
327C22×C11D4214yes—
328C22×C11#54618yes—
329C22×C11#55114yes—
330C22×C11C24×C411yescharacteristic
331C22×C11C23×D412yes—
332C22×C11C22×#4112yes—
333C22×C11C2×H(5,𝔽2)11yescharacteristic
334C22×C11C2×H(5,𝔽2)11yescharacteristic
335C2×D11—264no—
336C2×D11—28no—
337C2×D11—28no—
338C2×D11—28no—
339C2×D11—28no—
340C2×D11—28no—
341C2×D11—28no—
342C2×D11—464no—
343C2×D11C2×C4×D4116yescomplemented
344C4×C11—24no—
345C4×C11—28no—
346C4×C11—44no—
347Dic11—28no—
348Dic11—28no—
349Dic11—44no—
350C25—112no—
351C25—118no—
352C25—114no—
353C25—228no—
354C25—228no—
355C25—442no—
356C25—442no—
357C25C22×D1111yescharacteristic
358C25C22×D1111yescharacteristic
359C22×D4—42no—
360C22×D4—42no—
361C22×D4—1116no—
362C22×D4—118no—
363C22×D4—228no—
364C22×D4—228no—
365C22×D4C4×D1118yescomplemented
366C22×D4C22×D1114yes—
367C23×C4—112no—
368C23×C4—112no—
369C23×C4—112no—
370C23×C4—114no—
371C23×C4—118no—
372C23×C4—118no—
373C23×C4—228no—
374C23×C4—228no—
375C23×C4—228no—
376C23×C4—228no—
377C23×C4—228no—
378C23×C4—444no—
379C23×C4—444no—
380C23×C4—442no—
381C23×C4C22×D1112yes—
382C23×C4C22×D1111yescharacteristic
383C23×C4C22×D1112yes—
384#120—1164no—
385C4×D4—2264no—
386C2×C4⋊C4—42no—
387C2×C4⋊C4—118no—
388C2×C4⋊C4—228no—
389C2×C4⋊C4C22×D1114yescomplemented
390C2×C22⋊C4—28no—
391C2×C22⋊C4—28no—
392C2×C22⋊C4—118no—
393C2×C22⋊C4—114no—
394C2×C22⋊C4—1116no—
395C2×C22⋊C4—1116no—
396C2×C22⋊C4—118no—
397C2×C22⋊C4—118no—
398C2×C22⋊C4—118no—
399C2×C22⋊C4—118no—
400C2×C22⋊C4—114no—
401C2×C22⋊C4—2264no—
402C2×C22⋊C4—228no—
403C2×C22⋊C4—228no—
404C2×C22⋊C4—442no—
405C2×C22⋊C4C22×D1118yes—
406C2×C22⋊C4C22×D1118yescomplemented
407C2×C42—42no—
408C2×C42—118no—
409C2×C42—228no—
410C2×C42C22×D1114yescomplemented
411#95—118no—
412#95—118no—
413#95—118no—
414C2×C11—44no—
415C2×C11—44no—
416C2×C11#235818yescomplemented
417C2×C11C22×C4×D412yes—
418C2×C11C2×#51811yescharacteristic
419C2×C11C2×D4211yescharacteristic
420C2×C11C2×#54612yes—
421C2×C11C2×#55111yescharacteristic
422D11—216no—
423C24—24no—
424C24—24no—
425C24—22no—
426C24—22no—
427C24—22no—
428C24—22no—
429C24—24no—
430C24—24no—
431C24—118no—
432C24—118no—
433C24—118no—
434C24—114no—
435C24—1116no—
436C24—2216no—
437C24—2264no—
438C24—2216no—
439C24—224no—
440C24—224no—
441C24—224no—
442C24—224no—
443C24—4416no—
444C24—444no—
445C24—444no—
446C24—4416no—
447C24—4432no—
448C24—4416no—
449C24C2×C4×D1114yes—
450C24C2×C4×D1114yes—
451C24C23×D1112yes—
452C24C23×D1112yes—
453C24C23×D1111yescharacteristic
454C2×D4—44no—
455C2×D4—44no—
456C2×D4—416no—
457C2×D4—1132no—
458C2×D4—2216no—
459C2×D4—2264no—
460C2×D4—2216no—
461C2×D4C2×C4×D11116yescomplemented
462C22×C4—24no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—118no—
470C22×C4—118no—
471C22×C4—114no—
472C22×C4—114no—
473C22×C4—114no—
474C22×C4—2216no—
475C22×C4—2216no—
476C22×C4—2216no—
477C22×C4—2216no—
478C22×C4—224no—
479C22×C4—224no—
480C22×C4—224no—
481C22×C4—224no—
482C22×C4—224no—
483C22×C4—224no—
484C22×C4—224no—
485C22×C4—2216no—
486C22×C4—448no—
487C22×C4—448no—
488C22×C4—4432no—
489C22×C4—4432no—
490C22×C4—444no—
491C22×C4—4416no—
492C22×C4C2×C4×D1114yes—
493C22×C4D4×D1118yes—
494C22×C4C23×D1114yes—
495C22×C4C23×D1112yes—
496C22×C4C23×D1114yes—
497C4⋊C4—44no—
498C4⋊C4—2216no—
499C22⋊C4—216no—
500C22⋊C4—216no—
501C22⋊C4—1116no—
502C22⋊C4—1132no—
503C22⋊C4—1132no—
504C22⋊C4—2216no—
505C22⋊C4—2216no—
506C22⋊C4—444no—
507C42—44no—
508C42—2216no—
509C11C2×#235811yescharacteristic, complemented, Sylow
510C23—28no—
511C23—28no—
512C23—216no—
513C23—216no—
514C23—24no—
515C23—24no—
516C23—22no—
517C23—22no—
518C23—22no—
519C23—22no—
520C23—24no—
521C23—24no—
522C23—44no—
523C23—44no—
524C23—48no—
525C23—48no—
526C23—44no—
527C23—44no—
528C23—1132no—
529C23—118no—
530C23—118no—
531C23—118no—
532C23—2264no—
533C23—2216no—
534C23—2216no—
535C23—2216no—
536C23—2216no—
537C23—2216no—
538C23—224no—
539C23—224no—
540C23—224no—
541C23—224no—
542C23—2216no—
543C23—4416no—
544C23—4416no—
545C23—4416no—
546C23—4432no—
547C23—44128no—
548C23C22×C4×D1114yes—
549C23C22×C4×D1114yes—
550C23C22×C4×D1112yes—
551C23C2×D4×D1114yes—
552C23#6703712yes—
553C23#6703712yes—
554C23#41×D1114yes—
555C23C24×D1111yescharacteristic
556D4—416no—
557D4—2264no—
558C2×C4—28no—
559C2×C4—216no—
560C2×C4—24no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—24no—
564C2×C4—24no—
565C2×C4—24no—
566C2×C4—24no—
567C2×C4—48no—
568C2×C4—118no—
569C2×C4—118no—
570C2×C4—2216no—
571C2×C4—2216no—
572C2×C4—224no—
573C2×C4—224no—
574C2×C4—224no—
575C2×C4—224no—
576C2×C4—224no—
577C2×C4—224no—
578C2×C4—224no—
579C2×C4—4432no—
580C2×C4—4432no—
581C2×C4—4416no—
582C2×C4—448no—
583C2×C4C22×C4×D1114yes—
584C2×C4C2×D4×D1118yes—
585C22—28no—
586C22—28no—
587C22—24no—
588C22—24no—
589C22—42no—
590C22—42no—
591C22—42no—
592C22—42no—
593C22—44no—
594C22—44no—
595C22—416no—
596C22—416no—
597C22—1116no—
598C22—228no—
599C22—228no—
600C22—228no—
601C22—228no—
602C22—228no—
603C22—228no—
604C22—2264no—
605C22—4464no—
606C22#1062301714yes—
607C22C4×D4×D1118yes—
608C22#1062314118yes—
609C22#1062321014yes—
610C22#1062324814yes—
611C22C23×C4×D1111yescharacteristic
612C22C22×D4×D1112yes—
613C22C2×#6703711yescharacteristic
614C22C2×#6703711yescharacteristic
615C22C2×#41×D1112yes—
616C4—24no—
617C4—28no—
618C4—44no—
619C4—228no—
620C4—228no—
621C4—444no—
622C2—44no—
623C2—44no—
624C2—2216no—
625C2#1307159718yesdirect product factor
626C2C2×C4×D4×D1112yes—
627C2C2×#1062301711yescharacteristic
628C2C2×#1062324811yescharacteristic
629C2C2×#1062314112yes—
630C2C2×#1062321011yescharacteristic
subgroupG/H
centerC24C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC2×C11×#390C2
socleC24×C11C24
prime radicalC22×#66990C2
cosocleC23×C11C25
hypercenterC2×#390D11
hypocenterC11C2×#2358
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#390

Complements

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

NH ≅ G/Ntype
2. C22×(C22⋊D11)⋊C4C2semidirect
3. C22×C22⋊C4×D11C2semidirect
4. #13071597C2direct (N × H)
5. C2×#10622557C2semidirect
6. C2×#10622833C2semidirect
7. C2×#10622569C2semidirect
8. C2×#10622602C2semidirect
9. C2×C4×(C2×D11)⋊C4C2semidirect
10. C2×C11×#390C2semidirect
14. C24×Dic11C22semidirect
17. C22×C11×C4⋊C4C22semidirect
19. C22×C11×C22⋊C4C22semidirect
20. C22×C42×C11C22semidirect
23. C22×C22⋊Dic11C22semidirect
24. C2×#66990C4semidirect
29. C22×Dic11⋊C4C22semidirect
30. C22×C4×Dic11C22semidirect
32. C2×(C22⋊D11)⋊C4C22semidirect
34. C2×C22⋊C4×D11C22semidirect
35. C11×#390C22semidirect
36. #10622833C22semidirect
37. C2×C11⋊#95C22semidirect
38. C2×C11⋊#95C22semidirect
39. C2×C11⋊#95C22semidirect
40. #10622602C22semidirect
41. #10622569C22semidirect
42. #10622557C22semidirect
43. C4×(C2×D11)⋊C4C22semidirect
50. C24×D11C2×C4semidirect
55. C22×D4×C11C2×C4semidirect
62. C22×C22⋊D11C2×C4semidirect
69. C23×Dic11C23semidirect
79. C2×C11×C4⋊C4C23semidirect
83. C2×C11×C22⋊C4C23semidirect
85. C2×C42×C11C23semidirect
88. C2×C22⋊Dic11C2×C4semidirect
91. C2×C22⋊Dic11C23semidirect
92. #66990C2×C4semidirect
94. C2×(C2×D11)⋊C4C2×C4semidirect
95. C2×(C2×D11)⋊C4D4semidirect
100. C2×Dic11⋊C4C23semidirect
102. C2×C4×Dic11C23semidirect
105. C11⋊#95C23semidirect
106. C11⋊#95C23semidirect
107. C11⋊#95C23semidirect
136. C23×D11C22×C4semidirect
143. C2×D4×C11C22×C4semidirect
159. C2×C22⋊D11C22×C4semidirect
189. C22⋊Dic11C22×C4semidirect
191. (C2×D11)⋊C4C22×C4semidirect
192. (C2×D11)⋊C4C2×D4semidirect
199. C2×#390D11semidirect
247. C22×D11C4×D4semidirect
291. C22×C4⋊C4C2×D11semidirect
301. C22×C22⋊C4C2×D11semidirect
303. C22×C42C2×D11semidirect
304. #390C2×D11semidirect
343. C2×D11C2×C4×D4semidirect
365. C22×D4C4×D11semidirect
389. C2×C4⋊C4C22×D11semidirect
406. C2×C22⋊C4C22×D11semidirect
410. C2×C42C22×D11semidirect
416. C2×C11#2358semidirect
461. C2×D4C2×C4×D11semidirect
509. C11C2×#2358semidirect
625. C2#13071597direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669902
C22×(C22⋊D11)⋊C42
C22×C22⋊C4×D112
#130715972
C2×#106225572
C2×#106228332
C2×#106225692
C2×#106226022
C2×C4×(C2×D11)⋊C42
C2×C11×#3902
C2×#235811