Finite Group Databasebeta

← C2×#13073541 #14923802

Subgroups — C2×#13073541 #14923802

Order 2816.

5726 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66936C212yesmaximal, complemented
2C22×#66991C211yesmaximal, characteristic, complemented
3C22×#66990C212yesmaximal, complemented
4C22×C22⋊C4×D11C211yesmaximal, characteristic, complemented
5#13073541C2116yesmaximal, direct product factor
6C2×#10622290C211yesmaximal, characteristic, complemented
7C2×#10622562C211yesmaximal, characteristic, complemented
8C2×#10622836C211yesmaximal, characteristic, complemented
9C2×#10622834C212yesmaximal, complemented
10C2×#10622570C212yesmaximal, complemented
11C2×#10622279C211yesmaximal, characteristic, complemented
12C2×C11×#392C211yesmaximal, characteristic, complemented
13C25×D11C2211yescharacteristic
14C23×D4×C11C2212yes—
15C23×D4×C11C2211yescharacteristic, complemented
16C23×C22⋊D11C2212yes—
17C23×C22⋊D11C2212yes—
18C23×C4×D11C2211yescharacteristic
19C23×C4×D11C2211yescharacteristic
20C22×C11×C22⋊C4C2211yescharacteristic
21C22×C11×C22⋊C4C2212yescomplemented
22C22×C22⋊Dic11C2211yescharacteristic
23C22×C22⋊Dic11C2212yes—
24C22×C22⋊Dic11C2212yescomplemented
25C22×C22⋊Dic11C2212yescomplemented
26C2×#66991—28no—
27C2×#66991C2218yescomplemented
28C2×#66990—216no—
29C2×#66990C22116yescomplemented
30C22×(C2×D11)⋊C4C2211yescharacteristic
31C22×(C2×D11)⋊C4C2211yescharacteristic
32C22×(C2×D11)⋊C4C2212yes—
33C22×(C2×D11)⋊C4C2212yes—
34C22×C4⋊Dic11C2212yescomplemented
35C22×C4⋊Dic11C2211yescharacteristic, complemented
36C22×Dic11⋊C4C2212yescomplemented
37C22×C4×Dic11C2212yescomplemented
38C2×#66936—216no—
39C2×#66936C22116yescomplemented
40C2×C22⋊C4×D11—28no—
41C2×C22⋊C4×D11C2218yescomplemented
42C11×#392C2218yescomplemented
43C2×C11×#95C2211yescharacteristic, complemented
44#10622836C2218yescomplemented
45#10622834C22116yescomplemented
46C2×C11⋊#95C2211yescharacteristic, complemented
47#10622570C22116yescomplemented
48#10622562C2218yescomplemented
49#10622290C2218yescomplemented
50#10622279C2218yescomplemented
51C25×C11C2312yes—
52C25×C11C2311yescharacteristic
53C24×D11—24no—
54C24×D11—24no—
55C24×D11—24no—
56C24×D11—28no—
57C24×D11—44no—
58C24×D11C2311yescharacteristic
59C24×D11C2314yes—
60C24×D11C2311yescharacteristic
61C22×D4×C11—28no—
62C22×D4×C11—28no—
63C22×D4×C11—24no—
64C22×D4×C11—44no—
65C22×D4×C11—44no—
66C22×D4×C11C2318yes—
67C22×D4×C11C2314yescomplemented
68C23×C4×C11C2311yescharacteristic
69C23×C4×C11C2312yes—
70C23×C4×C11C2311yescharacteristic
71C22×C22⋊D11—28no—
72C22×C22⋊D11—28no—
73C22×C22⋊D11—28no—
74C22×C22⋊D11—28no—
75C22×C22⋊D11—28no—
76C22×C22⋊D11—44no—
77C22×C22⋊D11C2318yes—
78C22×C22⋊D11C2318yes—
79C23×Dic11C2312yes—
80C23×Dic11C2311yescharacteristic
81C23×Dic11C2311yescharacteristic
82C23×Dic11C2312yes—
83C22×C4×D11—24no—
84C22×C4×D11—28no—
85C22×C4×D11—44no—
86C22×C4×D11D418yescomplemented
87C22×C4×D11C2314yes—
88C22×C4×D11C2314yes—
89C2×C11×C22⋊C4—24no—
90C2×C11×C22⋊C4—28no—
91C2×C11×C22⋊C4C2314yes—
92C2×C11×C22⋊C4C2318yescomplemented
93C2×C22⋊Dic11—24no—
94C2×C22⋊Dic11—28no—
95C2×C22⋊Dic11—28no—
96C2×C22⋊Dic11—28no—
97C2×C22⋊Dic11C2314yes—
98C2×C22⋊Dic11C2318yes—
99C2×C22⋊Dic11C2318yescomplemented
100C2×C22⋊Dic11C2318yescomplemented
101#66991—232no—
102#66990—264no—
103C2×(C2×D11)⋊C4—24no—
104C2×(C2×D11)⋊C4—28no—
105C2×(C2×D11)⋊C4—24no—
106C2×(C2×D11)⋊C4D4116yescomplemented
107C2×(C2×D11)⋊C4C2314yes—
108C2×(C2×D11)⋊C4C2314yes—
109C2×(C2×D11)⋊C4C2318yes—
110C2×(C2×D11)⋊C4C2318yes—
111C2×C4⋊Dic11—28no—
112C2×C4⋊Dic11—24no—
113C2×C4⋊Dic11C2318yescomplemented
114C2×C4⋊Dic11C2314yescomplemented
115C2×Dic11⋊C4—28no—
116C2×Dic11⋊C4C2318yescomplemented
117C2×C4×Dic11—44no—
118C2×C4×Dic11C2318yescomplemented
119#66936—264no—
120C22⋊C4×D11—232no—
121C11×#95C2314yescomplemented
122C11⋊#95C2314yescomplemented
123C2×#2539—111nomaximal, Sylow
124C24×C11—22no—
125C24×C11—24no—
126C24×C11—22no—
127C24×C11—24no—
128C24×C11—24no—
129C24×C11—24no—
130C24×C11—24no—
131C24×C11—24no—
132C24×C11—24no—
133C24×C11—24no—
134C24×C11—24no—
135C24×C11#4114yes—
136C24×C11C2414yes—
137C24×C11C2412yes—
138C24×C11C2411yescharacteristic
139C23×D11—22no—
140C23×D11—22no—
141C23×D11—24no—
142C23×D11—232no—
143C23×D11—22no—
144C23×D11—24no—
145C23×D11—28no—
146C23×D11—22no—
147C23×D11—24no—
148C23×D11—28no—
149C23×D11—28no—
150C23×D11—216no—
151C23×D11—48no—
152C23×D11—432no—
153C23×D11—432no—
154C23×D11—416no—
155C23×D11—416no—
156C23×D11C2×D418yes—
157C23×D11C2×D414yes—
158C23×D11#4114yes—
159C23×D11C2412yes—
160C23×D11C2412yes—
161C2×D4×C11—216no—
162C2×D4×C11—216no—
163C2×D4×C11—28no—
164C2×D4×C11—48no—
165C2×D4×C11—48no—
166C2×D4×C11—432no—
167C2×D4×C11—416no—
168C22×C4×C11—24no—
169C22×C4×C11—24no—
170C22×C4×C11—24no—
171C22×C4×C11—24no—
172C22×C4×C11—22no—
173C22×C4×C11C2×D418yes—
174C22×C4×C11C2×D414yes—
175C22×C4×C11C2412yes—
176C22×C4×C11C2412yes—
177C22×C4×C11C2414yes—
178C2×C22⋊D11—216no—
179C2×C22⋊D11—216no—
180C2×C22⋊D11—216no—
181C2×C22⋊D11—216no—
182C2×C22⋊D11—216no—
183C2×C22⋊D11—48no—
184C2×C22⋊D11—432no—
185C2×C22⋊D11—432no—
186C22×Dic11—24no—
187C22×Dic11—24no—
188C22×Dic11—24no—
189C22×Dic11—22no—
190C22×Dic11—24no—
191C22×Dic11—24no—
192C22×Dic11—24no—
193C22×Dic11—24no—
194C22×Dic11C2×D418yes—
195C22×Dic11C2×D414yes—
196C22×Dic11C2414yes—
197C22×Dic11C2412yes—
198C22×Dic11C2414yes—
199C22×Dic11C2412yes—
200C2×C4×D11—28no—
201C2×C4×D11—216no—
202C2×C4×D11—416no—
203C2×C4×D11—48no—
204C2×C4×D11—416no—
205C2×C4×D11C2×D4116yescomplemented
206C11×C22⋊C4—28no—
207C11×C22⋊C4—216no—
208C22⋊Dic11—28no—
209C22⋊Dic11—216no—
210C22⋊Dic11—216no—
211C22⋊Dic11—216no—
212(C2×D11)⋊C4—28no—
213(C2×D11)⋊C4—28no—
214(C2×D11)⋊C4—216no—
215(C2×D11)⋊C4C2×D4132yescomplemented
216C4⋊Dic11—216no—
217C4⋊Dic11—28no—
218Dic11⋊C4—216no—
219C4×Dic11—48no—
220C22×#123—112no—
221C22×#121—111no—
222C22×#120—112no—
223C23×C22⋊C4—111no—
224#2539—1116no—
225C2×#399—111no—
226C2×#399—111no—
227C2×#392—111no—
228C2×#392D1111yescharacteristic, complemented
229C2×#390—112no—
230C2×#390—112no—
231C2×C4×C22⋊C4—111no—
232C23×C11—28no—
233C23×C11—216no—
234C23×C11—22no—
235C23×C11—24no—
236C23×C11—22no—
237C23×C11—24no—
238C23×C11—24no—
239C23×C11—24no—
240C23×C11—24no—
241C23×C11—24no—
242C23×C11—24no—
243C23×C11—24no—
244C23×C11—24no—
245C23×C11—44no—
246C23×C11—44no—
247C23×C11—48no—
248C23×C11—48no—
249C23×C11—48no—
250C23×C11—48no—
251C23×C11—48no—
252C23×C11—48no—
253C23×C11—48no—
254C23×C11—48no—
255C23×C11C22×D412yes—
256C23×C11C22×D414yes—
257C23×C11C2×#4114yes—
258C23×C11C2×#4112yes—
259C23×C11C2×#4112yes—
260C23×C11H(5,𝔽2)14yes—
261C23×C11C2511yescharacteristic
262C22×D11—28no—
263C22×D11—28no—
264C22×D11—216no—
265C22×D11—216no—
266C22×D11—22no—
267C22×D11—22no—
268C22×D11—24no—
269C22×D11—232no—
270C22×D11—28no—
271C22×D11—216no—
272C22×D11—22no—
273C22×D11—24no—
274C22×D11—22no—
275C22×D11—24no—
276C22×D11—432no—
277C22×D11—432no—
278C22×D11—416no—
279C22×D11—4128no—
280C22×D11—44no—
281C22×D11—44no—
282C22×D11—48no—
283C22×D11—416no—
284C22×D11#127116yes—
285C22×D11C22×D418yes—
286C22×D11C22×D414yes—
287C22×D11C2×#4114yes—
288D4×C11—432no—
289D4×C11—416no—
290C2×C4×C11—28no—
291C2×C4×C11—216no—
292C2×C4×C11—24no—
293C2×C4×C11—24no—
294C2×C4×C11—24no—
295C2×C4×C11—24no—
296C2×C4×C11—22no—
297C2×C4×C11—44no—
298C2×C4×C11C22×D418yes—
299C2×C4×C11C22×D414yes—
300C22⋊D11—432no—
301C22⋊D11—432no—
302C2×Dic11—28no—
303C2×Dic11—216no—
304C2×Dic11—24no—
305C2×Dic11—24no—
306C2×Dic11—24no—
307C2×Dic11—24no—
308C2×Dic11—24no—
309C2×Dic11—24no—
310C2×Dic11—22no—
311C2×Dic11—24no—
312C2×Dic11—44no—
313C2×Dic11—48no—
314C2×Dic11C22×D418yes—
315C2×Dic11C22×D414yes—
316C4×D11—416no—
317C4×D11—416no—
318C26—111no—
319C23×D4—112no—
320C23×D4—112no—
321C23×D4C2×D1112yes—
322C23×D4C2×D1111yescharacteristic, complemented
323C24×C4—111no—
324C24×C4—111no—
325C2×#123—1116no—
326C2×#123—2216no—
327C2×#121—118no—
328C2×#121—228no—
329C2×#120—1116no—
330C2×#120—2216no—
331C22×C4⋊C4—112no—
332C22×C4⋊C4—111no—
333C22×C4⋊C4—112no—
334C22×C22⋊C4—112no—
335C22×C22⋊C4—112no—
336C22×C22⋊C4—112no—
337C22×C22⋊C4—111no—
338C22×C22⋊C4—112no—
339C22×C22⋊C4—111no—
340C22×C22⋊C4—112no—
341C22×C22⋊C4—111no—
342C22×C22⋊C4—118no—
343C22×C22⋊C4—228no—
344C22×C22⋊C4C2×D1111yescharacteristic
345C22×C22⋊C4C2×D1112yescomplemented
346C22×C42—112no—
347#399—118no—
348#399—118no—
349#392—118no—
350#392C2×D1118yescomplemented
351#390—1116no—
352#390—1116no—
353C4×C22⋊C4—118no—
354C2×#95—111no—
355C2×#95C2×D1111yescharacteristic, complemented
356C22×C11—24no—
357C22×C11—28no—
358C22×C11—42no—
359C22×C11—42no—
360C22×C11—44no—
361C22×C11—416no—
362C22×C11—44no—
363C22×C11—44no—
364C22×C11—44no—
365C22×C11—44no—
366C22×C11—44no—
367C22×C11—44no—
368C22×C11—44no—
369C22×C11—816no—
370C22×C11#52514yes—
371C22×C11C2×#12714yes—
372C22×C11#53414yes—
373C22×C11#54618yes—
374C22×C11#54618yes—
375C22×C11C23×D411yescharacteristic
376C22×C11C23×D412yes—
377C22×C11C22×#4111yescharacteristic
378C22×C11C22×#4111yescharacteristic
379C22×C11C2×H(5,𝔽2)12yes—
380C2×D11—24no—
381C2×D11—24no—
382C2×D11—28no—
383C2×D11—28no—
384C2×D11—232no—
385C2×D11—24no—
386C2×D11—28no—
387C2×D11—464no—
388C2×D11—42no—
389C2×D11—42no—
390C2×D11—44no—
391C2×D11—416no—
392C2×D11C2×#12718yes—
393C4×C11—24no—
394C4×C11—28no—
395C4×C11—42no—
396Dic11—24no—
397Dic11—28no—
398Dic11—42no—
399Dic11—44no—
400C25—111no—
401C25—111no—
402C25—114no—
403C25—224no—
404C25—224no—
405C25—228no—
406C25—224no—
407C25—444no—
408C25C22×D1112yes—
409C25C22×D1111yescharacteristic
410C22×D4—28no—
411C22×D4—28no—
412C22×D4—24no—
413C22×D4—44no—
414C22×D4—44no—
415C22×D4—118no—
416C22×D4—118no—
417C22×D4—228no—
418C22×D4—228no—
419C22×D4—228no—
420C22×D4—228no—
421C22×D4—228no—
422C22×D4—444no—
423C22×D4C22×D1118yes—
424C22×D4C22×D1114yescomplemented
425C23×C4—111no—
426C23×C4—112no—
427C23×C4—118no—
428C23×C4—114no—
429C23×C4—111no—
430C23×C4—112no—
431C23×C4—114no—
432C23×C4—224no—
433C23×C4—228no—
434C23×C4—444no—
435C23×C4C22×D1111yescharacteristic
436C23×C4C22×D1112yes—
437C23×C4C22×D1111yescharacteristic
438#123—2264no—
439#121—2232no—
440#120—2264no—
441C2×C4⋊C4—114no—
442C2×C4⋊C4—118no—
443C2×C4⋊C4—118no—
444C2×C4⋊C4—228no—
445C2×C4⋊C4—224no—
446C2×C4⋊C4—228no—
447C2×C22⋊C4—24no—
448C2×C22⋊C4—28no—
449C2×C22⋊C4—1116no—
450C2×C22⋊C4—118no—
451C2×C22⋊C4—114no—
452C2×C22⋊C4—118no—
453C2×C22⋊C4—118no—
454C2×C22⋊C4—118no—
455C2×C22⋊C4—114no—
456C2×C22⋊C4—114no—
457C2×C22⋊C4—118no—
458C2×C22⋊C4—2232no—
459C2×C22⋊C4—224no—
460C2×C22⋊C4—224no—
461C2×C22⋊C4—228no—
462C2×C22⋊C4—228no—
463C2×C22⋊C4—228no—
464C2×C22⋊C4—224no—
465C2×C22⋊C4—228no—
466C2×C22⋊C4C22×D1114yes—
467C2×C22⋊C4C22×D1118yescomplemented
468C2×C42—118no—
469C2×C42—444no—
470#95—114no—
471#95C22×D1114yescomplemented
472C2×C11—44no—
473C2×C11—84no—
474C2×C11#253918yescomplemented
475C2×C11C2×#52511yescharacteristic
476C2×C11C22×#12711yescharacteristic
477C2×C11C2×#53411yescharacteristic
478C2×C11C2×#54612yes—
479C2×C11C2×#54612yes—
480D11—28no—
481D11—44no—
482C24—22no—
483C24—24no—
484C24—24no—
485C24—22no—
486C24—24no—
487C24—24no—
488C24—24no—
489C24—24no—
490C24—24no—
491C24—24no—
492C24—24no—
493C24—118no—
494C24—114no—
495C24—112no—
496C24—114no—
497C24—112no—
498C24—228no—
499C24—228no—
500C24—2216no—
501C24—2232no—
502C24—222no—
503C24—224no—
504C24—222no—
505C24—222no—
506C24—224no—
507C24—228no—
508C24—222no—
509C24—224no—
510C24—448no—
511C24—4432no—
512C24—4416no—
513C24—4432no—
514C24—4416no—
515C24#434114yes—
516C24C23×D1114yes—
517C24C23×D1112yes—
518C24C23×D1111yescharacteristic
519C2×D4—216no—
520C2×D4—216no—
521C2×D4—28no—
522C2×D4—48no—
523C2×D4—48no—
524C2×D4—432no—
525C2×D4—416no—
526C2×D4—2216no—
527C2×D4—2216no—
528C2×D4—2216no—
529C2×D4—2216no—
530C2×D4—2216no—
531C2×D4—448no—
532C2×D4—4432no—
533C2×D4—4432no—
534C22×C4—24no—
535C22×C4—24no—
536C22×C4—24no—
537C22×C4—22no—
538C22×C4—24no—
539C22×C4—118no—
540C22×C4—114no—
541C22×C4—114no—
542C22×C4—112no—
543C22×C4—1116no—
544C22×C4—112no—
545C22×C4—114no—
546C22×C4—228no—
547C22×C4—2216no—
548C22×C4—224no—
549C22×C4—224no—
550C22×C4—224no—
551C22×C4—222no—
552C22×C4—224no—
553C22×C4—224no—
554C22×C4—224no—
555C22×C4—224no—
556C22×C4—4416no—
557C22×C4—448no—
558C22×C4—4416no—
559C22×C4D4×D1118yes—
560C22×C4D4×D1114yes—
561C22×C4C23×D1112yes—
562C22×C4C23×D1112yes—
563C22×C4C23×D1114yes—
564C4⋊C4—2216no—
565C4⋊C4—228no—
566C4⋊C4—2216no—
567C22⋊C4—28no—
568C22⋊C4—216no—
569C22⋊C4—1132no—
570C22⋊C4—228no—
571C22⋊C4—228no—
572C22⋊C4—2216no—
573C22⋊C4—2216no—
574C22⋊C4—2216no—
575C22⋊C4—228no—
576C22⋊C4—2216no—
577C42—448no—
578C11C2×#253911yescharacteristic, complemented, Sylow
579C23—216no—
580C23—28no—
581C23—22no—
582C23—24no—
583C23—24no—
584C23—22no—
585C23—24no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—44no—
593C23—44no—
594C23—48no—
595C23—48no—
596C23—48no—
597C23—48no—
598C23—48no—
599C23—48no—
600C23—48no—
601C23—48no—
602C23—1116no—
603C23—118no—
604C23—114no—
605C23—114no—
606C23—2232no—
607C23—228no—
608C23—2216no—
609C23—228no—
610C23—2216no—
611C23—222no—
612C23—224no—
613C23—222no—
614C23—228no—
615C23—2216no—
616C23—222no—
617C23—224no—
618C23—222no—
619C23—224no—
620C23—4432no—
621C23—4416no—
622C23—4432no—
623C23—4416no—
624C23—44128no—
625C23—444no—
626C23—444no—
627C23—448no—
628C23C2×D4×D1112yes—
629C23C2×D4×D1114yes—
630C23C2×#434114yes—
631C23C2×#434112yes—
632C23#6703714yes—
633C23#41×D1112yes—
634C23C24×D1111yescharacteristic
635D4—432no—
636D4—416no—
637D4—4432no—
638D4—4432no—
639C2×C4—28no—
640C2×C4—216no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—22no—
645C2×C4—24no—
646C2×C4—44no—
647C2×C4—118no—
648C2×C4—114no—
649C2×C4—228no—
650C2×C4—2216no—
651C2×C4—224no—
652C2×C4—224no—
653C2×C4—224no—
654C2×C4—222no—
655C2×C4—224no—
656C2×C4—224no—
657C2×C4—224no—
658C2×C4—224no—
659C2×C4—4416no—
660C2×C4—4416no—
661C2×C4—444no—
662C2×C4—448no—
663C2×C4C2×D4×D1118yes—
664C2×C4C2×D4×D1114yes—
665C22—24no—
666C22—28no—
667C22—42no—
668C22—42no—
669C22—416no—
670C22—44no—
671C22—44no—
672C22—44no—
673C22—44no—
674C22—44no—
675C22—44no—
676C22—44no—
677C22—44no—
678C22—816no—
679C22—118no—
680C22—224no—
681C22—224no—
682C22—2232no—
683C22—228no—
684C22—228no—
685C22—224no—
686C22—228no—
687C22—4464no—
688C22—442no—
689C22—442no—
690C22—4416no—
691C22—444no—
692C22#1062312014yes—
693C22#1062312218yes—
694C22#1062313714yes—
695C22#1062314318yes—
696C22D11×#12714yes—
697C22C22×D4×D1111yescharacteristic
698C22C22×D4×D1112yes—
699C22C22×#434111yescharacteristic
700C22C2×#6703712yes—
701C22C2×#41×D1111yescharacteristic
702C4—24no—
703C4—28no—
704C4—42no—
705C4—224no—
706C4—228no—
707C4—442no—
708C4—444no—
709C2—44no—
710C2—84no—
711C2—228no—
712C2—444no—
713C2#1307354118yesdirect product factor
714C2C2×#1062313711yescharacteristic
715C2C2×D11×#12711yescharacteristic
716C2C2×#1062312011yescharacteristic
717C2C2×#1062312212yes—
718C2C2×#1062314312yes—
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC2×C11×#392C2
socleC24×C11C24
hypercenterC2×#392D11
hypocenterC11C2×#2539
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#392

Complements

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

NH ≅ G/Ntype
1. C22×#66936C2semidirect
2. C22×#66991C2semidirect
3. C22×#66990C2semidirect
4. C22×C22⋊C4×D11C2semidirect
5. #13073541C2direct (N × H)
6. C2×#10622290C2semidirect
7. C2×#10622562C2semidirect
8. C2×#10622836C2semidirect
9. C2×#10622834C2semidirect
10. C2×#10622570C2semidirect
11. C2×#10622279C2semidirect
12. C2×C11×#392C2semidirect
15. C23×D4×C11C22semidirect
21. C22×C11×C22⋊C4C22semidirect
24. C22×C22⋊Dic11C22semidirect
25. C22×C22⋊Dic11C22semidirect
27. C2×#66991C22semidirect
29. C2×#66990C22semidirect
34. C22×C4⋊Dic11C22semidirect
35. C22×C4⋊Dic11C22semidirect
36. C22×Dic11⋊C4C22semidirect
37. C22×C4×Dic11C22semidirect
39. C2×#66936C22semidirect
41. C2×C22⋊C4×D11C22semidirect
42. C11×#392C22semidirect
43. C2×C11×#95C22semidirect
44. #10622836C22semidirect
45. #10622834C22semidirect
46. C2×C11⋊#95C22semidirect
47. #10622570C22semidirect
48. #10622562C22semidirect
49. #10622290C22semidirect
50. #10622279C22semidirect
67. C22×D4×C11C23semidirect
86. C22×C4×D11D4semidirect
92. C2×C11×C22⋊C4C23semidirect
99. C2×C22⋊Dic11C23semidirect
100. C2×C22⋊Dic11C23semidirect
106. C2×(C2×D11)⋊C4D4semidirect
113. C2×C4⋊Dic11C23semidirect
114. C2×C4⋊Dic11C23semidirect
116. C2×Dic11⋊C4C23semidirect
118. C2×C4×Dic11C23semidirect
121. C11×#95C23semidirect
122. C11⋊#95C23semidirect
205. C2×C4×D11C2×D4semidirect
215. (C2×D11)⋊C4C2×D4semidirect
228. C2×#392D11semidirect
322. C23×D4C2×D11semidirect
345. C22×C22⋊C4C2×D11semidirect
350. #392C2×D11semidirect
355. C2×#95C2×D11semidirect
424. C22×D4C22×D11semidirect
467. C2×C22⋊C4C22×D11semidirect
471. #95C22×D11semidirect
474. C2×C11#2539semidirect
578. C11C2×#2539semidirect
713. C2#13073541direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669362
C22×#669912
C22×#669902
C22×C22⋊C4×D112
#130735412
C2×#106222902
C2×#106225622
C2×#106228362
C2×#106228342
C2×#106225702
C2×#106222792
C2×C11×#3922
C2×#253911