Finite Group Databasebeta

← C2×#13072202 #14921659

Subgroups — C2×#13072202 #14921659

Order 2816.

5062 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66927C211yesmaximal, characteristic, complemented
2C22×#66948C211yesmaximal, characteristic, complemented
3C22×#66948C211yesmaximal, characteristic, complemented
4C22×#66948C212yesmaximal, complemented
5C22×#66946C211yesmaximal, characteristic, complemented
6#13072202C2116yesmaximal, direct product factor
7C2×#10622604C212yesmaximal, complemented
8C2×#10622284C212yesmaximal, complemented
9C2×#10622601C211yesmaximal, characteristic, complemented
10C2×#10622278C212yesmaximal, complemented
11C2×C4×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
12C2×C11×#389C211yesmaximal, characteristic, complemented
13C23×D44C2211yescharacteristic
14C23×D44C2212yes—
15C23×D44C2212yes—
16C23×D44C2212yes—
17C23×D44C2212yes—
18C23×D44C2211yescharacteristic
19C23×C4×D11C2211yescharacteristic
20C23×C4×D11C2212yes—
21C22×C11×C4⋊C4C2212yes—
22C22×C11×C4⋊C4C2211yescharacteristic
23C22×C11×C4⋊C4C2211yescharacteristic
24C22×C42×C11C2211yescharacteristic
25C22×(C2×D11)⋊C4C2211yescharacteristic
26C22×(C2×D11)⋊C4C2212yes—
27C22×(C2×D11)⋊C4C2212yes—
28C22×(C2×D11)⋊C4C2212yes—
29C22×(C2×D11)⋊C4C2212yes—
30C22×(C2×D11)⋊C4C2212yes—
31C22×(C2×D11)⋊C4C2211yescharacteristic
32C22×C4×Dic11C2211yescharacteristic
33C2×#66948—28no—
34C2×#66948—28no—
35C2×#66948—216no—
36C2×#66948C2218yescomplemented
37C2×#66948C2218yescomplemented
38C2×#66948C22116yescomplemented
39C2×#66946—28no—
40C2×#66946C2218yescomplemented
41C2×#66927—28no—
42C2×#66927C2218yescomplemented
43C11×#389C2218yescomplemented
44C2×C11×#95C2212yes—
45C2×C11⋊#95C2211yescharacteristic
46C2×C11⋊#95C2211yescharacteristic
47#10622604C22116yescomplemented
48#10622601C2218yescomplemented
49C4×(C2×D11)⋊C4C2218yescomplemented
50#10622284C22116yescomplemented
51#10622278C22116yescomplemented
52C24×D11C2312yes—
53C24×D11C2312yes—
54C24×D11C2311yescharacteristic
55C23×C4×C11C2312yes—
56C23×C4×C11C2312yes—
57C23×C4×C11C2311yescharacteristic
58C23×C4×C11C2311yescharacteristic
59C23×C4×C11C2311yescharacteristic
60C23×Dic11C2311yescharacteristic
61C23×Dic11C2311yescharacteristic
62C23×Dic11C2311yescharacteristic
63C22×D44—24no—
64C22×D44—24no—
65C22×D44—28no—
66C22×D44—28no—
67C22×D44—28no—
68C22×D44—28no—
69C22×D44—28no—
70C22×D44—24no—
71C22×D44—28no—
72C22×D44—24no—
73C22×D44—28no—
74C22×D44—28no—
75C22×D44—24no—
76C22×D44—44no—
77C22×D44—44no—
78C22×D44—44no—
79C22×D44—44no—
80C22×D44D418yescomplemented
81C22×D44C2314yes—
82C22×D44C2318yes—
83C22×D44C2318yes—
84C22×D44C2318yes—
85C22×D44C2318yes—
86C22×D44C2314yes—
87C22×C4×D11—28no—
88C22×C4×D11—24no—
89C22×C4×D11—24no—
90C22×C4×D11—24no—
91C22×C4×D11—28no—
92C22×C4×D11—44no—
93C22×C4×D11C2314yes—
94C22×C4×D11C2318yes—
95C2×C11×C4⋊C4—28no—
96C2×C11×C4⋊C4—24no—
97C2×C11×C4⋊C4D418yescomplemented
98C2×C11×C4⋊C4C2314yes—
99C2×C11×C4⋊C4C2318yes—
100C2×C11×C4⋊C4C2314yes—
101C2×C42×C11—24no—
102C2×C42×C11C2314yes—
103C2×(C2×D11)⋊C4—28no—
104C2×(C2×D11)⋊C4—28no—
105C2×(C2×D11)⋊C4—28no—
106C2×(C2×D11)⋊C4—24no—
107C2×(C2×D11)⋊C4—28no—
108C2×(C2×D11)⋊C4—44no—
109C2×(C2×D11)⋊C4D418yescomplemented
110C2×(C2×D11)⋊C4C2318yes—
111C2×(C2×D11)⋊C4C2318yes—
112C2×(C2×D11)⋊C4C2318yes—
113C2×(C2×D11)⋊C4C2318yes—
114C2×(C2×D11)⋊C4C2314yes—
115C2×(C2×D11)⋊C4C2318yes—
116C2×(C2×D11)⋊C4C2314yes—
117C2×C4×Dic11—24no—
118C2×C4×Dic11C2314yes—
119#66948—232no—
120#66948—232no—
121#66948—264no—
122#66946—232no—
123#66927—232no—
124C11×#95C2318yes—
125C11⋊#95C2314yes—
126C11⋊#95C2314yes—
127C2×#2428—111nomaximal, Sylow
128C24×C11C2411yescharacteristic
129C23×D11—24no—
130C23×D11—22no—
131C23×D11—22no—
132C23×D11—24no—
133C23×D11—22no—
134C23×D11—22no—
135C23×D11—24no—
136C23×D11—24no—
137C23×D11—24no—
138C23×D11—22no—
139C23×D11—24no—
140C23×D11—22no—
141C23×D11—24no—
142C23×D11—24no—
143C23×D11—24no—
144C23×D11—24no—
145C23×D11—24no—
146C23×D11—24no—
147C23×D11—24no—
148C23×D11C2×D418yes—
149C23×D11C2×D414yes—
150C23×D11C2414yes—
151C23×D11C2414yes—
152C23×D11C2412yes—
153C22×C4×C11—22no—
154C22×C4×C11—22no—
155C22×C4×C11—24no—
156C22×C4×C11—24no—
157C22×C4×C11—22no—
158C22×C4×C11—22no—
159C22×C4×C11—24no—
160C22×C4×C11—24no—
161C22×C4×C11—24no—
162C22×C4×C11C2×D418yes—
163C22×C4×C11C2×D414yes—
164C22×C4×C11C2×D414yes—
165C22×C4×C11C2×D414yes—
166C22×C4×C11#4114yes—
167C22×C4×C11#4114yes—
168C22×C4×C11C2414yes—
169C22×C4×C11C2412yes—
170C22×C4×C11C2414yes—
171C22×C4×C11C2412yes—
172C22×C4×C11C2412yes—
173C22×Dic11—22no—
174C22×Dic11—22no—
175C22×Dic11—22no—
176C22×Dic11—22no—
177C22×Dic11—22no—
178C22×Dic11—22no—
179C22×Dic11—22no—
180C22×Dic11—22no—
181C22×Dic11C2×D414yes—
182C22×Dic11C2412yes—
183C22×Dic11C2412yes—
184C22×Dic11C2412yes—
185C2×D44—216no—
186C2×D44—216no—
187C2×D44—216no—
188C2×D44—216no—
189C2×D44—216no—
190C2×D44—232no—
191C2×D44—28no—
192C2×D44—28no—
193C2×D44—216no—
194C2×D44—28no—
195C2×D44—216no—
196C2×D44—28no—
197C2×D44—216no—
198C2×D44—28no—
199C2×D44—48no—
200C2×D44—48no—
201C2×D44—48no—
202C2×D44—48no—
203C2×D44—432no—
204C2×D44—432no—
205C2×D44—432no—
206C2×D44—432no—
207C2×D44—416no—
208C2×D44C2×D4116yescomplemented
209C2×C4×D11—216no—
210C2×C4×D11—216no—
211C2×C4×D11—28no—
212C2×C4×D11—28no—
213C2×C4×D11—28no—
214C2×C4×D11—48no—
215C2×C4×D11—432no—
216C2×C4×D11—416no—
217C11×C4⋊C4—216no—
218C11×C4⋊C4—28no—
219C11×C4⋊C4C2×D4116yescomplemented
220C42×C11—28no—
221(C2×D11)⋊C4—216no—
222(C2×D11)⋊C4—216no—
223(C2×D11)⋊C4—216no—
224(C2×D11)⋊C4—216no—
225(C2×D11)⋊C4—28no—
226(C2×D11)⋊C4—48no—
227(C2×D11)⋊C4C2×D4116yescomplemented
228C4×Dic11—28no—
229C22×#127—111no—
230C22×#121—112no—
231C22×#121—111no—
232C22×#121—111no—
233C22×C4×D4—111no—
234#2428—1116no—
235C2×#394—112no—
236C2×#392—112no—
237C2×#390—111no—
238C2×#389D1111yescharacteristic, complemented
239C2×#386—112no—
240C2×C4×C22⋊C4—111no—
241C23×C11C22×D412yes—
242C23×C11C22×D412yes—
243C23×C11C22×D412yes—
244C23×C11C2×#4112yes—
245C23×C11C2×#4112yes—
246C23×C11H(5,𝔽2)12yes—
247C23×C11H(5,𝔽2)12yes—
248C23×C11C2511yescharacteristic
249C22×D11—216no—
250C22×D11—28no—
251C22×D11—28no—
252C22×D11—216no—
253C22×D11—28no—
254C22×D11—216no—
255C22×D11—24no—
256C22×D11—22no—
257C22×D11—22no—
258C22×D11—24no—
259C22×D11—22no—
260C22×D11—22no—
261C22×D11—24no—
262C22×D11—24no—
263C22×D11—24no—
264C22×D11—22no—
265C22×D11—24no—
266C22×D11—22no—
267C22×D11—24no—
268C22×D11—24no—
269C22×D11—24no—
270C22×D11—24no—
271C22×D11—24no—
272C22×D11—24no—
273C22×D11—24no—
274C22×D11—44no—
275C22×D11—48no—
276C22×D11—44no—
277C22×D11—48no—
278C22×D11—48no—
279C22×D11—44no—
280C22×D11—48no—
281C22×D11—44no—
282C22×D11—48no—
283C22×D11—48no—
284C22×D11—48no—
285C22×D11—48no—
286C22×D11—48no—
287C22×D11—48no—
288C22×D11—48no—
289C22×D11C22×D418yes—
290C22×D11C22×D414yes—
291C2×C4×C11—216no—
292C2×C4×C11—28no—
293C2×C4×C11—28no—
294C2×C4×C11—22no—
295C2×C4×C11—22no—
296C2×C4×C11—24no—
297C2×C4×C11—24no—
298C2×C4×C11—22no—
299C2×C4×C11—22no—
300C2×C4×C11—24no—
301C2×C4×C11—24no—
302C2×C4×C11—24no—
303C2×C4×C11—48no—
304C2×C4×C11#121116yescomplemented
305C2×C4×C11C22×D418yes—
306C2×C4×C11C22×D414yes—
307C2×C4×C11C22×D414yes—
308C2×C4×C11C22×D414yes—
309C2×C4×C11C2×#4114yes—
310C2×C4×C11C2×#4114yes—
311C2×Dic11—28no—
312C2×Dic11—22no—
313C2×Dic11—22no—
314C2×Dic11—22no—
315C2×Dic11—22no—
316C2×Dic11—22no—
317C2×Dic11—22no—
318C2×Dic11—22no—
319C2×Dic11—22no—
320C2×Dic11—44no—
321C2×Dic11—44no—
322C2×Dic11C22×D414yes—
323D44—232no—
324D44—432no—
325D44—432no—
326D44—432no—
327D44—432no—
328D44—416no—
329C4×D11—432no—
330C4×D11—416no—
331C23×D4—111no—
332C23×D4—111no—
333C23×D4—112no—
334C23×D4—112no—
335C23×D4—112no—
336C23×D4—112no—
337C24×C4—111no—
338C24×C4—112no—
339C2×#127—118no—
340C2×#127—228no—
341C2×#121—1116no—
342C2×#121—118no—
343C2×#121—118no—
344C2×#121—2216no—
345C2×#121—228no—
346C2×#121—228no—
347C2×C4×D4—118no—
348C2×C4×D4—228no—
349C22×C4⋊C4C2×D1112yes—
350C22×C4⋊C4C2×D1111yescharacteristic
351C22×C4⋊C4C2×D1111yescharacteristic
352C22×C22⋊C4—111no—
353C22×C22⋊C4—111no—
354C22×C22⋊C4—112no—
355C22×C22⋊C4—112no—
356C22×C22⋊C4—112no—
357C22×C22⋊C4—112no—
358C22×C22⋊C4—112no—
359C22×C42—111no—
360C22×C42C2×D1111yescharacteristic
361#394—1116no—
362#392—1116no—
363#390—118no—
364#389C2×D1118yescomplemented
365#386—1116no—
366C4×C22⋊C4—118no—
367C2×#95—111no—
368C2×#95—111no—
369C2×#95C2×D1112yes—
370C22×C11C2×#12114yes—
371C22×C11#53214yes—
372C22×C11#54014yes—
373C22×C11D4214yes—
374C22×C11D4214yes—
375C22×C11#54614yes—
376C22×C11#55014yes—
377C22×C11C23×D411yescharacteristic
378C22×C11C23×D411yescharacteristic
379C22×C11C23×D411yescharacteristic
380C22×C11C22×#4111yescharacteristic
381C22×C11C22×#4111yescharacteristic
382C22×C11C2×H(5,𝔽2)11yescharacteristic
383C22×C11C2×H(5,𝔽2)11yescharacteristic
384C2×D11—28no—
385C2×D11—24no—
386C2×D11—28no—
387C2×D11—24no—
388C2×D11—24no—
389C2×D11—28no—
390C2×D11—42no—
391C2×D11—44no—
392C2×D11—432no—
393C2×D11—416no—
394C2×D11—42no—
395C2×D11—44no—
396C2×D11—44no—
397C2×D11—42no—
398C2×D11—44no—
399C2×D11—42no—
400C2×D11—44no—
401C2×D11—44no—
402C2×D11—44no—
403C2×D11—44no—
404C2×D11—44no—
405C2×D11—44no—
406C2×D11—44no—
407C2×D11—816no—
408C4×C11—28no—
409C4×C11—24no—
410C4×C11—24no—
411C4×C11—44no—
412C4×C11C2×#12118yescomplemented
413Dic11—24no—
414Dic11—42no—
415Dic11—42no—
416C25—111no—
417C25—112no—
418C25—112no—
419C22×D4—118no—
420C22×D4—114no—
421C22×D4—114no—
422C22×D4—118no—
423C22×D4—118no—
424C22×D4—118no—
425C22×D4—118no—
426C22×D4—228no—
427C22×D4—228no—
428C22×D4—228no—
429C22×D4—228no—
430C22×D4—228no—
431C22×D4—224no—
432C22×D4—228no—
433C22×D4—224no—
434C22×D4—228no—
435C22×D4—224no—
436C22×D4—224no—
437C22×D4—228no—
438C22×D4—224no—
439C22×D4—444no—
440C22×D4—444no—
441C22×D4—444no—
442C22×D4—444no—
443C23×C4—111no—
444C23×C4—111no—
445C23×C4—111no—
446C23×C4—114no—
447C23×C4—118no—
448C23×C4—228no—
449C23×C4—228no—
450C23×C4—224no—
451C23×C4—224no—
452C23×C4—224no—
453C23×C4—444no—
454C23×C4C22×D1112yes—
455C23×C4C22×D1112yes—
456C23×C4C22×D1111yescharacteristic
457C23×C4C22×D1111yescharacteristic
458C23×C4C22×D1111yescharacteristic
459#127—2232no—
460#121—2264no—
461#121—2232no—
462#121—2232no—
463C4×D4—2232no—
464C2×C4⋊C4—28no—
465C2×C4⋊C4—24no—
466C2×C4⋊C4D4418yescomplemented
467C2×C4⋊C4C22×D1114yes—
468C2×C4⋊C4C22×D1118yes—
469C2×C4⋊C4C22×D1114yes—
470C2×C22⋊C4—118no—
471C2×C22⋊C4—114no—
472C2×C22⋊C4—118no—
473C2×C22⋊C4—118no—
474C2×C22⋊C4—118no—
475C2×C22⋊C4—118no—
476C2×C22⋊C4—114no—
477C2×C22⋊C4—118no—
478C2×C22⋊C4—228no—
479C2×C22⋊C4—228no—
480C2×C22⋊C4—228no—
481C2×C22⋊C4—228no—
482C2×C22⋊C4—224no—
483C2×C22⋊C4—444no—
484C2×C42—24no—
485C2×C42—114no—
486C2×C42—224no—
487C2×C42C22×D1114yes—
488#95—114no—
489#95—114no—
490#95C22×D1118yes—
491C2×C11#242818yescomplemented
492C2×C11C22×#12111yescharacteristic
493C2×C11C2×#53211yescharacteristic
494C2×C11C2×#54011yescharacteristic
495C2×C11C2×D4211yescharacteristic
496C2×C11C2×D4211yescharacteristic
497C2×C11C2×#54611yescharacteristic
498C2×C11C2×#55011yescharacteristic
499D11—48no—
500D11—44no—
501D11—84no—
502C24—114no—
503C24—118no—
504C24—112no—
505C24—114no—
506C24—114no—
507C24—224no—
508C24—222no—
509C24—224no—
510C24—222no—
511C24—222no—
512C24—222no—
513C24—224no—
514C24—224no—
515C24—224no—
516C24—222no—
517C24—224no—
518C24—222no—
519C24—224no—
520C24—224no—
521C24—224no—
522C24—224no—
523C24—224no—
524C24—224no—
525C24—224no—
526C24C23×D1111yescharacteristic
527C2×D4—1116no—
528C2×D4—2216no—
529C2×D4—2216no—
530C2×D4—2216no—
531C2×D4—2216no—
532C2×D4—2216no—
533C2×D4—2232no—
534C2×D4—228no—
535C2×D4—2216no—
536C2×D4—228no—
537C2×D4—2216no—
538C2×D4—228no—
539C2×D4—228no—
540C2×D4—2216no—
541C2×D4—228no—
542C2×D4—448no—
543C2×D4—448no—
544C2×D4—448no—
545C2×D4—448no—
546C2×D4—4432no—
547C2×D4—4432no—
548C2×D4—4432no—
549C2×D4—4432no—
550C2×D4—4416no—
551C22×C4—22no—
552C22×C4—22no—
553C22×C4—24no—
554C22×C4—24no—
555C22×C4—22no—
556C22×C4—22no—
557C22×C4—24no—
558C22×C4—24no—
559C22×C4—24no—
560C22×C4—114no—
561C22×C4—112no—
562C22×C4—112no—
563C22×C4—112no—
564C22×C4—2216no—
565C22×C4—222no—
566C22×C4—222no—
567C22×C4—222no—
568C22×C4—222no—
569C22×C4—222no—
570C22×C4—222no—
571C22×C4—222no—
572C22×C4—222no—
573C22×C4—2216no—
574C22×C4—228no—
575C22×C4—228no—
576C22×C4—228no—
577C22×C4—448no—
578C22×C4—4432no—
579C22×C4—4416no—
580C22×C4C2×D4418yes—
581C22×C4C2×D4414yes—
582C22×C4D4×D1114yes—
583C22×C4D4×D1114yes—
584C22×C4#434314yes—
585C22×C4#434314yes—
586C22×C4C23×D1114yes—
587C22×C4C23×D1114yes—
588C22×C4C23×D1112yes—
589C22×C4C23×D1112yes—
590C22×C4C23×D1112yes—
591C4⋊C4—216no—
592C4⋊C4—28no—
593C4⋊C4C2×D44116yescomplemented
594C22⋊C4—1116no—
595C22⋊C4—2216no—
596C22⋊C4—2216no—
597C22⋊C4—2216no—
598C22⋊C4—2216no—
599C22⋊C4—228no—
600C22⋊C4—448no—
601C42—28no—
602C42—228no—
603C11C2×#242811yescharacteristic, complemented, Sylow
604C23—114no—
605C23—118no—
606C23—228no—
607C23—2216no—
608C23—228no—
609C23—2216no—
610C23—228no—
611C23—2216no—
612C23—224no—
613C23—222no—
614C23—224no—
615C23—222no—
616C23—222no—
617C23—222no—
618C23—224no—
619C23—224no—
620C23—224no—
621C23—224no—
622C23—222no—
623C23—222no—
624C23—224no—
625C23—224no—
626C23—224no—
627C23—224no—
628C23—224no—
629C23—224no—
630C23—224no—
631C23—448no—
632C23—444no—
633C23—448no—
634C23—448no—
635C23—444no—
636C23—444no—
637C23—444no—
638C23—448no—
639C23—448no—
640C23—448no—
641C23—448no—
642C23—448no—
643C23—448no—
644C23—448no—
645C23—448no—
646C23C22×D4412yes—
647C23C2×D4×D1112yes—
648C23C2×D4×D1112yes—
649C23C2×#434312yes—
650C23C2×#434312yes—
651C23#6704212yes—
652C23#6704212yes—
653C23C24×D1111yescharacteristic
654D4—2232no—
655D4—4432no—
656D4—4432no—
657D4—4432no—
658D4—4432no—
659D4—4416no—
660C2×C4—216no—
661C2×C4—28no—
662C2×C4—28no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—24no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—48no—
673C2×C4—114no—
674C2×C4—228no—
675C2×C4—222no—
676C2×C4—222no—
677C2×C4—222no—
678C2×C4—222no—
679C2×C4—222no—
680C2×C4—222no—
681C2×C4—222no—
682C2×C4—222no—
683C2×C4—4432no—
684C2×C4—444no—
685C2×C4—444no—
686C2×C4—4416no—
687C2×C4#66948116yescomplemented
688C2×C4C22×D4418yes—
689C2×C4C22×D4414yes—
690C2×C4C2×D4×D1114yes—
691C2×C4C2×D4×D1114yes—
692C2×C4C2×#434314yes—
693C2×C4C2×#434314yes—
694C22—224no—
695C22—228no—
696C22—224no—
697C22—224no—
698C22—228no—
699C22—228no—
700C22—444no—
701C22—4416no—
702C22—4432no—
703C22—442no—
704C22—444no—
705C22—444no—
706C22—442no—
707C22—442no—
708C22—444no—
709C22—442no—
710C22—444no—
711C22—444no—
712C22—444no—
713C22—444no—
714C22—444no—
715C22—444no—
716C22—444no—
717C22—8816no—
718C22C2×#6694814yes—
719C22D4×D4414yes—
720C22#1062310814yes—
721C22#1062314014yes—
722C22#1062316114yes—
723C22#1062322914yes—
724C22#1062325614yes—
725C22C23×D4411yescharacteristic
726C22C22×D4×D1111yescharacteristic
727C22C22×D4×D1111yescharacteristic
728C22C22×#434311yescharacteristic
729C22C22×#434311yescharacteristic
730C22C2×#6704211yescharacteristic
731C22C2×#6704211yescharacteristic
732C4—24no—
733C4—28no—
734C4—24no—
735C4—44no—
736C4—224no—
737C4—442no—
738C4—442no—
739C4C2×#6694818yescomplemented
740C2—444no—
741C2—448no—
742C2—884no—
743C2#1307220218yesdirect product factor
744C2C22×#6694811yescharacteristic
745C2C2×#1062325611yescharacteristic
746C2C2×#1062322911yescharacteristic
747C2C2×#1062314011yescharacteristic
748C2C2×D4×D4411yescharacteristic
749C2C2×#1062316111yescharacteristic
750C2C2×#1062310811yescharacteristic
subgroupG/H
centerC24C23×D11
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC2×C11×#389C2
socleC24×C11C24
hypercenterC2×#389D11
hypocenterC11C2×#2428
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×#389

Complements

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

NH ≅ G/Ntype
1. C22×#66927C2semidirect
2. C22×#66948C2semidirect
3. C22×#66948C2semidirect
4. C22×#66948C2semidirect
5. C22×#66946C2semidirect
6. #13072202C2direct (N × H)
7. C2×#10622604C2semidirect
8. C2×#10622284C2semidirect
9. C2×#10622601C2semidirect
10. C2×#10622278C2semidirect
11. C2×C4×(C2×D11)⋊C4C2semidirect
12. C2×C11×#389C2semidirect
36. C2×#66948C22semidirect
37. C2×#66948C22semidirect
38. C2×#66948C22semidirect
40. C2×#66946C22semidirect
42. C2×#66927C22semidirect
43. C11×#389C22semidirect
47. #10622604C22semidirect
48. #10622601C22semidirect
49. C4×(C2×D11)⋊C4C22semidirect
50. #10622284C22semidirect
51. #10622278C22semidirect
80. C22×D44D4semidirect
97. C2×C11×C4⋊C4D4semidirect
109. C2×(C2×D11)⋊C4D4semidirect
208. C2×D44C2×D4semidirect
219. C11×C4⋊C4C2×D4semidirect
227. (C2×D11)⋊C4C2×D4semidirect
238. C2×#389D11semidirect
304. C2×C4×C11#121semidirect
364. #389C2×D11semidirect
412. C4×C11C2×#121semidirect
466. C2×C4⋊C4D44semidirect
491. C2×C11#2428semidirect
593. C4⋊C4C2×D44semidirect
603. C11C2×#2428semidirect
687. C2×C4#66948semidirect
739. C4C2×#66948semidirect
743. C2#13072202direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669272
C22×#669482
C22×#669462
#130722022
C2×#106226042
C2×#106222842
C2×#106226012
C2×#106222782
C2×C4×(C2×D11)⋊C42
C2×C11×#3892
C2×#242811