Finite Group Databasebeta

← C2×#13079420 #15624362

Subgroups — C2×#13079420 #15624362

Order 2816.

2666 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66999C211yesmaximal, characteristic, complemented
2C2×D11×#121C211yesmaximal, characteristic
3#13079420C2116yesmaximal, direct product factor
4C2×#10622422C212yesmaximal, complemented
5C2×#10622349C211yesmaximal, characteristic, complemented
6C2×#10622646C211yesmaximal, characteristic, complemented
7C2×#10622425C212yesmaximal, complemented
8C2×#10622787C212yesmaximal, complemented
9C2×#10622840C211yesmaximal, characteristic, complemented
10C2×#10622782C212yesmaximal, complemented
11C2×#10622339C211yesmaximal, characteristic, complemented
12C2×C11×#448C211yesmaximal, characteristic, complemented
13C23×Q8×C11C2211yescharacteristic, complemented
14C22×D4×D11—21no—
15C22×D4×D11C2211yescharacteristic
16C23×C4×D11C2211yescharacteristic
17C22×C11×SD16C2212yescomplemented
18C2×C11×#121C2211yescharacteristic
19C2×#66999—21no—
20C2×#66999—21no—
21C2×#66999—24no—
22C2×#66999C2212yes—
23C2×#66999C2212yescomplemented
24C2×#66999C2218yescomplemented
25C22×#4325C2212yescomplemented
26C2×#66992—21no—
27C2×#66991C2211yescharacteristic
28C2×#66983C2211yescharacteristic
29C22×(C2×D11)⋊C4—21no—
30C22×C4⋊Dic11C2211yescharacteristic, complemented
31C22×Dic11⋊C4—21no—
32C22×#4313C2212yescomplemented
33D11×#121—24no—
34D11×#121C2218yes—
35C2×#66948C2211yescharacteristic
36C2×C4⋊C4×D11C2211yescharacteristic
37C2×#66937—21no—
38C2×C22⋊C4×D11—21no—
39C11×#448C2218yescomplemented
40C2×C11×#103C2212yescomplemented
41C2×C11×C22⋊C8C2211yescharacteristic, complemented
42#10622840C2218yescomplemented
43C2×#66899C2212yescomplemented
44C2×#66896C2212yescomplemented
45C2×C22⋊(C11⋊C8)C2211yescharacteristic, complemented
46#10622787C22116yescomplemented
47#10622782C22116yescomplemented
48C2×#66885C2212yescomplemented
49C2×(C2×D11)⋊C8C2212yes—
50C2×#66882C2212yescomplemented
51#10622646C2218yescomplemented
52C2×#66871C2212yescomplemented
53#10622425C22116yescomplemented
54#10622422C22116yescomplemented
55#10622349C2218yescomplemented
56#10622339C2218yescomplemented
57C24×D11—21no—
58C24×D11D411yescharacteristic
59C22×Q8×C11—21no—
60C22×Q8×C11—22no—
61C22×Q8×C11—44no—
62C22×Q8×C11C2312yes—
63C22×Q8×C11C2314yescomplemented
64C22×D4×C11—21no—
65C22×D4×C11C2311yescharacteristic
66C23×C4×C11—21no—
67C23×C4×C11C2311yescharacteristic
68C22×C22⋊D11—21no—
69C22×C22⋊D11—21no—
70C22×C22⋊D11—21no—
71C23×Dic11—21no—
72C23×Dic11D411yescharacteristic
73C2×D4×D11—28no—
74C2×D4×D11—22no—
75C2×D4×D11—44no—
76C2×D4×D11—48no—
77C2×D4×D11C2314yes—
78C22×D44—21no—
79C22×D44C2311yescharacteristic
80C22×C4×D11—21no—
81C22×C4×D11—44no—
82C22×C4×D11D411yescharacteristic
83C22×C4×D11D411yescharacteristic
84C22×C4×D11D414yes—
85C22×C4×D11C2311yescharacteristic
86C22×C4×D11C2311yescharacteristic
87C22×C4×D11C2314yes—
88C2×C11×SD16—44no—
89C2×C11×SD16C2318yescomplemented
90C22×C8×C11C2312yes—
91C11×#121—22no—
92C11×#121C2314yes—
93C2×C11×C4⋊C4C2311yescharacteristic
94C2×C11×C22⋊C4—21no—
95C2×C22⋊Dic11—21no—
96#66999—24no—
97#66999—28no—
98#66999—24no—
99#66999—28no—
100#66999C2318yes—
101#66999C2318yescomplemented
102C2×#4325—44no—
103C2×#4325C2318yescomplemented
104#66992—28no—
105#66991—22no—
106#66991C2314yes—
107#66983—22no—
108#66983C2314yes—
109C2×(C2×D11)⋊C4—22no—
110C2×(C2×D11)⋊C4—28no—
111C2×(C2×D11)⋊C4—22no—
112C2×(C2×D11)⋊C4—21no—
113C2×(C2×D11)⋊C4—21no—
114C2×C4⋊Dic11—22no—
115C2×C4⋊Dic11—21no—
116C2×C4⋊Dic11C2312yes—
117C2×C4⋊Dic11C2311yescharacteristic
118C2×C4⋊Dic11C2314yescomplemented
119C2×Dic11⋊C4—21no—
120C2×Dic11⋊C4—22no—
121C2×Dic11⋊C4—28no—
122C2×Dic11⋊C4—22no—
123C22×C11⋊C8C2312yes—
124C2×#4313—44no—
125C2×#4313C2318yescomplemented
126#66948—22no—
127#66948C2314yes—
128C4⋊C4×D11—22no—
129C4⋊C4×D11C2314yes—
130#66937—28no—
131C22⋊C4×D11—28no—
132C11×#103C2318yescomplemented
133C11×C22⋊C8C2314yescomplemented
134#66899C2318yescomplemented
135#66896C2318yescomplemented
136C22⋊(C11⋊C8)C2314yescomplemented
137#66885C2318yescomplemented
138(C2×D11)⋊C8C2318yes—
139#66882C2318yescomplemented
140#66871C2318yescomplemented
141C2×#3193—111nomaximal, Sylow
142C24×C11—21no—
143C24×C11C2×D411yescharacteristic
144C23×D11—24no—
145C23×D11—24no—
146C23×D11—21no—
147C23×D11—24no—
148C23×D11—42no—
149C23×D11—44no—
150C23×D11—44no—
151C23×D11—44no—
152C23×D11C2×D411yescharacteristic
153C23×D11C2×D414yes—
154C23×D11C2×D411yescharacteristic
155C2×Q8×C11—22no—
156C2×Q8×C11—24no—
157C2×Q8×C11—24no—
158C2×Q8×C11—24no—
159C2×Q8×C11—48no—
160C2×Q8×C11—44no—
161C2×Q8×C11—48no—
162C2×Q8×C11C2414yes—
163C2×D4×C11—24no—
164C2×D4×C11—21no—
165C2×D4×C11—24no—
166C2×D4×C11—44no—
167C2×D4×C11C2412yes—
168C22×C4×C11—24no—
169C22×C4×C11—22no—
170C22×C4×C11—24no—
171C22×C4×C11—21no—
172C22×C4×C11—44no—
173C22×C4×C11C2×D411yescharacteristic
174C22×C4×C11C2×D412yes—
175C22×C4×C11C2412yes—
176C22×C4×C11C2411yescharacteristic
177C2×C22⋊D11—24no—
178C2×C22⋊D11—24no—
179C2×C22⋊D11—24no—
180C2×C22⋊D11—44no—
181C2×C22⋊D11—44no—
182C2×C22⋊D11—44no—
183C22×Dic11—22no—
184C22×Dic11—24no—
185C22×Dic11—21no—
186C22×Dic11—42no—
187C22×Dic11—44no—
188C22×Dic11C2×D411yescharacteristic
189C22×Dic11C2×D411yescharacteristic
190C22×Dic11C2×D414yes—
191D4×D11—48no—
192D4×D11—432no—
193D4×D11—48no—
194C2×D44—24no—
195C2×D44—21no—
196C2×D44—24no—
197C2×D44—44no—
198C2×D44C2412yes—
199C2×C4×D11—24no—
200C2×C4×D11—24no—
201C2×C4×D11—24no—
202C2×C4×D11—42no—
203C2×C4×D11—42no—
204C2×C4×D11—48no—
205C2×C4×D11—48no—
206C2×C4×D11—44no—
207C2×C4×D11C2×D412yes—
208C2×C4×D11C2×D412yes—
209C2×C4×D11C2×D414yes—
210C2×C4×D11C2×D414yes—
211C2×C4×D11C2412yes—
212C2×C4×D11C2412yes—
213C11×SD16—48no—
214C2×C8×C11—24no—
215C2×C8×C11C2414yes—
216C11×C4⋊C4—21no—
217C11×C4⋊C4C2412yes—
218C11×C22⋊C4—24no—
219C22⋊Dic11—24no—
220#4325—48no—
221(C2×D11)⋊C4—24no—
222(C2×D11)⋊C4—28no—
223(C2×D11)⋊C4—28no—
224(C2×D11)⋊C4—24no—
225C4⋊Dic11—21no—
226C4⋊Dic11—22no—
227C4⋊Dic11—24no—
228C4⋊Dic11C2414yes—
229C4⋊Dic11C2412yes—
230Dic11⋊C4—24no—
231Dic11⋊C4—28no—
232Dic11⋊C4—28no—
233C2×C11⋊C8—24no—
234C2×C11⋊C8C2414yes—
235#4313—48no—
236C22×C22⋊Q8—111no—
237C22×#121—111no—
238#3193—1116no—
239C2×#484—112no—
240C2×#480—111no—
241C2×#480—111no—
242C2×#468—112no—
243C2×#468—112no—
244C2×#448—111no—
245C2×#448D1111yescharacteristic, complemented
246C2×#450—112no—
247C2×#407—111no—
248C23×C11—22no—
249C23×C11—22no—
250C23×C11—22no—
251C23×C11—42no—
252C23×C11—42no—
253C23×C11—42no—
254C23×C11AGL(1,ℤ/8)14yes—
255C23×C11C22×D412yes—
256C23×C11C22×D411yescharacteristic
257C22×D11—22no—
258C22×D11—22no—
259C22×D11—22no—
260C22×D11—22no—
261C22×D11—28no—
262C22×D11—22no—
263C22×D11—28no—
264C22×D11—22no—
265C22×D11—44no—
266C22×D11—416no—
267C22×D11—48no—
268C22×D11—48no—
269C22×D11—42no—
270C22×D11—42no—
271C22×D11—42no—
272C22×D11—48no—
273C22×D11—816no—
274C22×D11#13714yes—
275C22×D11C22×D412yes—
276C22×D11C22×D412yes—
277Q8×C11—24no—
278Q8×C11—24no—
279Q8×C11—48no—
280Q8×C11—44no—
281D4×C11—24no—
282D4×C11—48no—
283D4×C11—42no—
284C2×C4×C11—22no—
285C2×C4×C11—24no—
286C2×C4×C11—24no—
287C2×C4×C11—24no—
288C2×C4×C11—22no—
289C2×C4×C11—48no—
290C2×C4×C11—44no—
291C2×C4×C11—42no—
292C2×C4×C11C22×D412yes—
293C2×C4×C11C22×D411yescharacteristic
294C2×C4×C11H(5,𝔽2)14yes—
295C2×C4×C11C2511yescharacteristic
296C22⋊D11—48no—
297C22⋊D11—48no—
298C22⋊D11—48no—
299C2×Dic11—22no—
300C2×Dic11—22no—
301C2×Dic11—24no—
302C2×Dic11—22no—
303C2×Dic11—44no—
304C2×Dic11—42no—
305C2×Dic11—48no—
306C2×Dic11—44no—
307C2×Dic11C22×D412yes—
308C2×Dic11C22×D412yes—
309D44—24no—
310D44—48no—
311D44—42no—
312C4×D11—24no—
313C4×D11—24no—
314C4×D11—24no—
315C4×D11—24no—
316C4×D11—44no—
317C4×D11—44no—
318C4×D11—48no—
319C8×C11—24no—
320C11⋊C8—24no—
321C23×Q8C2×D1111yescharacteristic, complemented
322C23×D4—111no—
323C23×D4—221no—
324C24×C4—111no—
325C22×SD16—112no—
326C22×SD16C2×D1112yescomplemented
327C22×M16—112no—
328C2×C22⋊Q8—112no—
329C2×C22⋊Q8—112no—
330C2×C22⋊Q8—118no—
331C2×C22⋊Q8—221no—
332C2×C22⋊Q8—224no—
333C2×C22⋊Q8—221no—
334C2×#121—111no—
335C2×#121—111no—
336C2×#121—118no—
337C2×#121—111no—
338C2×#121—221no—
339C2×#121—224no—
340C2×#121—221no—
341C2×#121C2×D1111yescharacteristic
342C22×C4⋊C4—111no—
343C22×C4⋊C4—111no—
344C22×C4⋊C4—221no—
345C22×C22⋊C4—221no—
346C22×C22⋊C4—221no—
347#484—1116no—
348#480—118no—
349#480—118no—
350#468—1116no—
351#468—1116no—
352#450—1116no—
353#448—118no—
354#448C2×D1118yescomplemented
355C2×#107—112no—
356C2×#107—112no—
357C2×#103—112no—
358C2×#103C2×D1112yescomplemented
359C2×#102—112no—
360C2×#102—112no—
361#407—118no—
362C2×C22⋊C8—111no—
363C2×C22⋊C8—112no—
364C2×C22⋊C8C2×D1111yescharacteristic, complemented
365C22×C11—22no—
366C22×C11—28no—
367C22×C11—22no—
368C22×C11—42no—
369C22×C11—42no—
370C22×C11—42no—
371C22×C11—84no—
372C22×C11#53412yes—
373C22×C11C2×AGL(1,ℤ/8)14yes—
374C22×C11C2×AGL(1,ℤ/8)12yes—
375C22×C11C2×#13712yes—
376C22×C11C23×D411yescharacteristic
377C2×D11—22no—
378C2×D11—28no—
379C2×D11—22no—
380C2×D11—22no—
381C2×D11—22no—
382C2×D11—22no—
383C2×D11—416no—
384C2×D11—44no—
385C2×D11—42no—
386C2×D11—42no—
387C2×D11—42no—
388C2×D11—816no—
389C2×D11—84no—
390C2×D11C2×#13714yes—
391C4×C11—22no—
392C4×C11—44no—
393C4×C11—42no—
394C4×C11#53412yes—
395C4×C11C2×H(5,𝔽2)12yes—
396Dic11—22no—
397Dic11—22no—
398Dic11—42no—
399Dic11—44no—
400C25—111no—
401C25—221no—
402C22×Q8—22no—
403C22×Q8—21no—
404C22×Q8—44no—
405C22×Q8C22×D1112yes—
406C22×Q8C22×D1114yescomplemented
407C22×D4—21no—
408C22×D4—114no—
409C22×D4—111no—
410C22×D4—221no—
411C22×D4—222no—
412C22×D4—221no—
413C22×D4—228no—
414C22×D4—221no—
415C22×D4—221no—
416C22×D4—444no—
417C22×D4—448no—
418C22×D4C22×D1111yescharacteristic
419C23×C4—21no—
420C23×C4—111no—
421C23×C4—111no—
422C23×C4—111no—
423C23×C4—111no—
424C23×C4—111no—
425C23×C4—114no—
426C23×C4—114no—
427C23×C4—221no—
428C23×C4—221no—
429C23×C4—444no—
430C23×C4C22×D1111yescharacteristic
431C2×SD16—44no—
432C2×SD16—118no—
433C2×SD16—444no—
434C2×SD16C22×D1118yescomplemented
435C2×M16—118no—
436C2×M16—444no—
437C22×C8—112no—
438C22×C8C22×D1112yes—
439C22⋊Q8—118no—
440C22⋊Q8—118no—
441C22⋊Q8—224no—
442C22⋊Q8—224no—
443C22⋊Q8—228no—
444C22⋊Q8—228no—
445#121—22no—
446#121—114no—
447#121—114no—
448#121—114no—
449#121—228no—
450#121—222no—
451#121—222no—
452#121—228no—
453#121—222no—
454#121C22×D1114yes—
455C2×C4⋊C4—111no—
456C2×C4⋊C4—112no—
457C2×C4⋊C4—114no—
458C2×C4⋊C4—114no—
459C2×C4⋊C4—222no—
460C2×C4⋊C4—221no—
461C2×C4⋊C4—228no—
462C2×C4⋊C4—222no—
463C2×C4⋊C4—222no—
464C2×C4⋊C4—222no—
465C2×C4⋊C4—221no—
466C2×C4⋊C4C22×D1111yescharacteristic
467C2×C22⋊C4—21no—
468C2×C22⋊C4—228no—
469C2×C22⋊C4—221no—
470C2×C22⋊C4—228no—
471C2×C22⋊C4—222no—
472C2×C22⋊C4—222no—
473C2×C22⋊C4—221no—
474C2×C22⋊C4—221no—
475#107—118no—
476#107—118no—
477#103—118no—
478#103C22×D1118yescomplemented
479#102—118no—
480#102—118no—
481C22⋊C8—114no—
482C22⋊C8—118no—
483C22⋊C8C22×D1114yescomplemented
484C2×C11—24no—
485C2×C11—82no—
486C2×C11#319314yescomplemented
487C2×C11C2×#53411yescharacteristic
488C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
489C2×C11C22×#13711yescharacteristic
490D11—24no—
491D11—42no—
492D11—82no—
493C24—21no—
494C24—111no—
495C24—111no—
496C24—114no—
497C24—224no—
498C24—224no—
499C24—224no—
500C24—221no—
501C24—442no—
502C24—444no—
503C24—444no—
504C24—444no—
505C24D4×D1111yescharacteristic
506C2×Q8—22no—
507C2×Q8—24no—
508C2×Q8—24no—
509C2×Q8—24no—
510C2×Q8—48no—
511C2×Q8—44no—
512C2×Q8—48no—
513C2×Q8C23×D1114yes—
514C2×D4—24no—
515C2×D4—21no—
516C2×D4—24no—
517C2×D4—44no—
518C2×D4—112no—
519C2×D4—224no—
520C2×D4—224no—
521C2×D4—224no—
522C2×D4—224no—
523C2×D4—221no—
524C2×D4—224no—
525C2×D4—444no—
526C2×D4—448no—
527C2×D4—448no—
528C2×D4—444no—
529C2×D4—4432no—
530C2×D4—444no—
531C2×D4—444no—
532C2×D4C23×D1112yes—
533C22×C4—24no—
534C22×C4—24no—
535C22×C4—21no—
536C22×C4—22no—
537C22×C4—44no—
538C22×C4—111no—
539C22×C4—111no—
540C22×C4—114no—
541C22×C4—112no—
542C22×C4—112no—
543C22×C4—112no—
544C22×C4—112no—
545C22×C4—114no—
546C22×C4—114no—
547C22×C4—224no—
548C22×C4—224no—
549C22×C4—224no—
550C22×C4—224no—
551C22×C4—222no—
552C22×C4—221no—
553C22×C4—448no—
554C22×C4—448no—
555C22×C4—442no—
556C22×C4—442no—
557C22×C4—444no—
558C22×C4—442no—
559C22×C4—444no—
560C22×C4D4×D1112yes—
561C22×C4D4×D1111yescharacteristic
562C22×C4C23×D1112yes—
563C22×C4C23×D1111yescharacteristic
564SD16—48no—
565SD16—448no—
566M16—448no—
567C2×C8—24no—
568C2×C8—114no—
569C2×C8—224no—
570C2×C8C23×D1114yes—
571C4⋊C4—21no—
572C4⋊C4—114no—
573C4⋊C4—112no—
574C4⋊C4—224no—
575C4⋊C4—228no—
576C4⋊C4—228no—
577C4⋊C4—221no—
578C4⋊C4—224no—
579C4⋊C4—222no—
580C4⋊C4C23×D1112yes—
581C22⋊C4—24no—
582C22⋊C4—224no—
583C22⋊C4—228no—
584C22⋊C4—228no—
585C22⋊C4—224no—
586C22⋊C4—224no—
587C11C2×#319311yescharacteristic, complemented, Sylow
588C23—22no—
589C23—22no—
590C23—22no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—114no—
595C23—112no—
596C23—112no—
597C23—228no—
598C23—222no—
599C23—222no—
600C23—228no—
601C23—222no—
602C23—222no—
603C23—222no—
604C23—222no—
605C23—444no—
606C23—4416no—
607C23—448no—
608C23—448no—
609C23—448no—
610C23—442no—
611C23—442no—
612C23—442no—
613C23—8816no—
614C23#6696714yes—
615C23C2×D4×D1112yes—
616C23C2×D4×D1111yescharacteristic
617Q8—24no—
618Q8—24no—
619Q8—48no—
620Q8—44no—
621D4—24no—
622D4—48no—
623D4—42no—
624D4—224no—
625D4—448no—
626D4—448no—
627D4—448no—
628D4—448no—
629D4—442no—
630C2×C4—22no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—22no—
634C2×C4—24no—
635C2×C4—48no—
636C2×C4—42no—
637C2×C4—44no—
638C2×C4—112no—
639C2×C4—112no—
640C2×C4—222no—
641C2×C4—222no—
642C2×C4—224no—
643C2×C4—224no—
644C2×C4—224no—
645C2×C4—224no—
646C2×C4—224no—
647C2×C4—222no—
648C2×C4—444no—
649C2×C4—444no—
650C2×C4—448no—
651C2×C4—444no—
652C2×C4—442no—
653C2×C4—448no—
654C2×C4—444no—
655C2×C4C2×D4×D1112yes—
656C2×C4C2×D4×D1111yescharacteristic
657C2×C4#6703714yes—
658C2×C4C24×D1111yescharacteristic
659C8—24no—
660C8—224no—
661C22—22no—
662C22—28no—
663C22—22no—
664C22—42no—
665C22—42no—
666C22—42no—
667C22—84no—
668C22—114no—
669C22—222no—
670C22—228no—
671C22—222no—
672C22—222no—
673C22—222no—
674C22—222no—
675C22—4416no—
676C22—444no—
677C22—442no—
678C22—442no—
679C22—442no—
680C22—8816no—
681C22—884no—
682C22#1062312012yes—
683C22C2×#6696714yes—
684C22C2×#6696712yes—
685C22D11×#13712yes—
686C22C22×D4×D1111yescharacteristic
687C4—22no—
688C4—44no—
689C4—42no—
690C4—222no—
691C4—222no—
692C4—442no—
693C4—444no—
694C4#1062312012yes—
695C4C2×#6703712yes—
696C2—24no—
697C2—82no—
698C2—224no—
699C2—442no—
700C2—882no—
701C2#1307942014yesdirect product factor
702C2C2×#1062312011yescharacteristic
703C2C22×#6696711yescharacteristic
704C2C2×D11×#13711yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#448C2
socleC23×C11C22×D4
prime radicalC2×D11×#121C2
hypercenterC2×#448D11
hypocenterC11C2×#3193
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#448

Complements

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

NH ≅ G/Ntype
1. C22×#66999C2semidirect
3. #13079420C2direct (N × H)
4. C2×#10622422C2semidirect
5. C2×#10622349C2semidirect
6. C2×#10622646C2semidirect
7. C2×#10622425C2semidirect
8. C2×#10622787C2semidirect
9. C2×#10622840C2semidirect
10. C2×#10622782C2semidirect
11. C2×#10622339C2semidirect
12. C2×C11×#448C2semidirect
13. C23×Q8×C11C22semidirect
17. C22×C11×SD16C22semidirect
23. C2×#66999C22semidirect
24. C2×#66999C22semidirect
25. C22×#4325C22semidirect
30. C22×C4⋊Dic11C22semidirect
32. C22×#4313C22semidirect
39. C11×#448C22semidirect
40. C2×C11×#103C22semidirect
41. C2×C11×C22⋊C8C22semidirect
42. #10622840C22semidirect
43. C2×#66899C22semidirect
44. C2×#66896C22semidirect
45. C2×C22⋊(C11⋊C8)C22semidirect
46. #10622787C22semidirect
47. #10622782C22semidirect
48. C2×#66885C22semidirect
50. C2×#66882C22semidirect
51. #10622646C22semidirect
52. C2×#66871C22semidirect
53. #10622425C22semidirect
54. #10622422C22semidirect
55. #10622349C22semidirect
56. #10622339C22semidirect
63. C22×Q8×C11C23semidirect
89. C2×C11×SD16C23semidirect
101. #66999C23semidirect
103. C2×#4325C23semidirect
118. C2×C4⋊Dic11C23semidirect
125. C2×#4313C23semidirect
132. C11×#103C23semidirect
133. C11×C22⋊C8C23semidirect
134. #66899C23semidirect
135. #66896C23semidirect
136. C22⋊(C11⋊C8)C23semidirect
137. #66885C23semidirect
139. #66882C23semidirect
140. #66871C23semidirect
245. C2×#448D11semidirect
321. C23×Q8C2×D11semidirect
326. C22×SD16C2×D11semidirect
354. #448C2×D11semidirect
358. C2×#103C2×D11semidirect
364. C2×C22⋊C8C2×D11semidirect
406. C22×Q8C22×D11semidirect
434. C2×SD16C22×D11semidirect
478. #103C22×D11semidirect
483. C22⋊C8C22×D11semidirect
486. C2×C11#3193semidirect
587. C11C2×#3193semidirect
701. C2#13079420direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669992
C2×D11×#1212
#130794202
C2×#106224222
C2×#106223492
C2×#106226462
C2×#106224252
C2×#106227872
C2×#106228402
C2×#106227822
C2×#106223392
C2×C11×#4482
C2×#319311