Finite Group Databasebeta

← C2×#13071634 #14913304

Subgroups — C2×#13071634 #14913304

Order 2816.

4782 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66948C211yesmaximal, characteristic
2C22×C4×D44C212yesmaximal, complemented
3C22×#66946C211yesmaximal, characteristic, complemented
4C22×C4⋊C4×D11C211yesmaximal, characteristic, complemented
5#13071634C2116yesmaximal, direct product factor
6C2×#10622552C211yesmaximal, characteristic, complemented
7C2×#10622598C211yesmaximal, characteristic, complemented
8C2×#10622553C212yesmaximal, complemented
9C2×#10622278C212yesmaximal, complemented
10C2×#10622281C212yesmaximal, complemented
11C2×C4×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
12C2×C4×C11×C4⋊C4C211yesmaximal, characteristic, complemented
13C23×D44C2212yes—
14C23×D44C2211yescharacteristic
15C23×C4×D11C2212yes—
16C23×C4×D11C2212yes—
17C23×C4×D11C2211yescharacteristic
18C22×C11×C4⋊C4C2211yescharacteristic
19C22×C11×C4⋊C4C2211yescharacteristic
20C22×C42×C11C2211yescharacteristic
21C22×C42×C11C2212yes—
22C22×(C2×D11)⋊C4C2211yescharacteristic
23C22×(C2×D11)⋊C4C2212yes—
24C22×(C2×D11)⋊C4C2212yes—
25C22×(C2×D11)⋊C4C2212yes—
26C22×(C2×D11)⋊C4C2212yes—
27C22×(C2×D11)⋊C4C2211yescharacteristic
28C22×C4⋊Dic11C2211yescharacteristic
29C22×C4⋊Dic11C2212yes—
30C22×Dic11⋊C4C2212yes—
31C22×C4×Dic11C2211yescharacteristic
32C2×#66948C4116yescomplemented
33C2×#66948C2218yes—
34C2×#66946—28no—
35C2×#66946C2218yescomplemented
36C2×C4⋊C4×D11—28no—
37C2×C4⋊C4×D11C2218yescomplemented
38C2×C4×D44—216no—
39C2×C4×D44C22116yescomplemented
40C4×C11×C4⋊C4C2218yescomplemented
41C2×C11×#95C2212yes—
42C2×C11⋊#95C2211yescharacteristic
43C2×C11⋊#95C2211yescharacteristic
44C2×C11⋊#95C2212yes—
45#10622598C2218yescomplemented
46#10622553C22116yescomplemented
47#10622552C2218yescomplemented
48C4×(C2×D11)⋊C4C2218yescomplemented
49#10622281C22116yescomplemented
50#10622278C22116yescomplemented
51C24×D11C2312yes—
52C24×D11C2311yescharacteristic
53C23×C4×C11C2311yescharacteristic
54C23×C4×C11C2312yes—
55C23×C4×C11C2312yes—
56C23×C4×C11C2311yescharacteristic
57C23×C4×C11C2311yescharacteristic
58C23×Dic11C2311yescharacteristic
59C23×Dic11C2312yes—
60C23×Dic11C2311yescharacteristic
61C23×Dic11C2311yescharacteristic
62C22×D44—28no—
63C22×D44—28no—
64C22×D44—24no—
65C22×D44—24no—
66C22×D44C2×C4116yescomplemented
67C22×D44C2×C418yescomplemented
68C22×D44C2318yes—
69C22×D44C2314yes—
70C22×C4×D11—24no—
71C22×C4×D11—24no—
72C22×C4×D11—28no—
73C22×C4×D11—28no—
74C22×C4×D11—28no—
75C22×C4×D11—28no—
76C22×C4×D11—44no—
77C22×C4×D11—44no—
78C22×C4×D11C2×C418yescomplemented
79C22×C4×D11C2318yes—
80C22×C4×D11C2318yes—
81C22×C4×D11C2314yes—
82C2×C11×C4⋊C4C2×C418yescomplemented
83C2×C11×C4⋊C4D418yescomplemented
84C2×C11×C4⋊C4C2314yes—
85C2×C11×C4⋊C4C2314yes—
86C2×C42×C11—28no—
87C2×C42×C11—24no—
88C2×C42×C11C2318yes—
89C2×C42×C11C2314yes—
90C2×(C2×D11)⋊C4—24no—
91C2×(C2×D11)⋊C4—28no—
92C2×(C2×D11)⋊C4—28no—
93C2×(C2×D11)⋊C4—44no—
94C2×(C2×D11)⋊C4C2×C4116yescomplemented
95C2×(C2×D11)⋊C4D418yescomplemented
96C2×(C2×D11)⋊C4C2318yes—
97C2×(C2×D11)⋊C4C2318yes—
98C2×(C2×D11)⋊C4C2314yes—
99C2×(C2×D11)⋊C4C2318yes—
100C2×(C2×D11)⋊C4C2318yes—
101C2×(C2×D11)⋊C4C2314yes—
102C2×C4⋊Dic11—24no—
103C2×C4⋊Dic11—28no—
104C2×C4⋊Dic11C2318yes—
105C2×C4⋊Dic11C2314yes—
106C2×Dic11⋊C4—28no—
107C2×Dic11⋊C4C2318yes—
108C2×C4×Dic11—24no—
109C2×C4×Dic11C2314yes—
110#66948C2×C4164yescomplemented
111#66946—232no—
112C4⋊C4×D11—232no—
113C4×D44—264no—
114C11×#95C2318yes—
115C11⋊#95C2318yes—
116C11⋊#95C2314yes—
117C11⋊#95C2314yes—
118C2×#2361—111nomaximal, Sylow
119C24×C11C2411yescharacteristic
120C23×D11—22no—
121C23×D11—22no—
122C23×D11—22no—
123C23×D11—22no—
124C23×D11—24no—
125C23×D11—24no—
126C23×D11—24no—
127C23×D11—24no—
128C23×D11—24no—
129C23×D11—24no—
130C23×D11C22×C418yes—
131C23×D11C22×C414yes—
132C23×D11C2×D414yes—
133C23×D11#4114yes—
134C23×D11C2414yes—
135C23×D11C2412yes—
136C22×C4×C11—24no—
137C22×C4×C11—24no—
138C22×C4×C11—22no—
139C22×C4×C11—24no—
140C22×C4×C11—24no—
141C22×C4×C11—22no—
142C22×C4×C11—22no—
143C22×C4×C11—22no—
144C22×C4×C11—22no—
145C22×C4×C11C22×C418yes—
146C22×C4×C11C22×C414yes—
147C22×C4×C11C2×D418yes—
148C22×C4×C11C2×D414yes—
149C22×C4×C11C2×D414yes—
150C22×C4×C11#4114yes—
151C22×C4×C11C2412yes—
152C22×C4×C11C2414yes—
153C22×C4×C11C2412yes—
154C22×C4×C11C2414yes—
155C22×C4×C11C2412yes—
156C22×Dic11—22no—
157C22×Dic11—22no—
158C22×Dic11—22no—
159C22×Dic11—24no—
160C22×Dic11—24no—
161C22×Dic11—22no—
162C22×Dic11—22no—
163C22×Dic11—22no—
164C22×Dic11—24no—
165C22×Dic11—22no—
166C22×Dic11C22×C414yes—
167C22×Dic11C2×D414yes—
168C22×Dic11C2412yes—
169C22×Dic11C2414yes—
170C22×Dic11C2412yes—
171C22×Dic11C2412yes—
172C2×D44—264no—
173C2×D44—216no—
174C2×D44—216no—
175C2×D44—232no—
176C2×D44—28no—
177C2×D44—28no—
178C2×D44C22×C4132yescomplemented
179C2×D44C22×C4116yescomplemented
180C2×C4×D11—216no—
181C2×C4×D11—216no—
182C2×C4×D11—232no—
183C2×C4×D11—28no—
184C2×C4×D11—216no—
185C2×C4×D11—216no—
186C2×C4×D11—28no—
187C2×C4×D11—48no—
188C2×C4×D11—48no—
189C2×C4×D11—432no—
190C2×C4×D11—432no—
191C2×C4×D11C22×C4116yescomplemented
192C11×C4⋊C4C22×C4116yescomplemented
193C11×C4⋊C4C2×D4116yescomplemented
194C42×C11—216no—
195C42×C11—28no—
196(C2×D11)⋊C4—28no—
197(C2×D11)⋊C4—216no—
198(C2×D11)⋊C4—216no—
199(C2×D11)⋊C4—48no—
200(C2×D11)⋊C4C22×C4132yescomplemented
201(C2×D11)⋊C4C2×D4116yescomplemented
202C4⋊Dic11—216no—
203C4⋊Dic11—28no—
204Dic11⋊C4—216no—
205C4×Dic11—28no—
206C22×#121—111no—
207C22×C4×D4—112no—
208C22×C4×D4—111no—
209C23×C4⋊C4—111no—
210#2361—1116no—
211C2×#390—111no—
212C2×#389—111no—
213C2×#388—112no—
214C2×#386—112no—
215C2×#385—112no—
216C2×C4×C4⋊C4D1111yescharacteristic, complemented
217C2×C4×C22⋊C4—111no—
218C23×C11C23×C412yes—
219C23×C11C22×D412yes—
220C23×C11C22×D412yes—
221C23×C11C2×#4112yes—
222C23×C11C2×#4112yes—
223C23×C11H(5,𝔽2)12yes—
224C23×C112−1+412yes—
225C23×C11C2511yescharacteristic
226C22×D11—28no—
227C22×D11—28no—
228C22×D11—28no—
229C22×D11—28no—
230C22×D11—28no—
231C22×D11—28no—
232C22×D11—22no—
233C22×D11—22no—
234C22×D11—22no—
235C22×D11—22no—
236C22×D11—216no—
237C22×D11—216no—
238C22×D11—216no—
239C22×D11—24no—
240C22×D11—24no—
241C22×D11—24no—
242C22×D11—24no—
243C22×D11—24no—
244C22×D11—24no—
245C22×D11—48no—
246C22×D11—48no—
247C22×D11—48no—
248C22×D11—48no—
249C22×D11C4×D4116yescomplemented
250C22×D11C23×C418yes—
251C22×D11C23×C414yes—
252C22×D11C22×D414yes—
253C22×D11C2×#4114yes—
254C2×C4×C11—216no—
255C2×C4×C11—216no—
256C2×C4×C11—28no—
257C2×C4×C11—24no—
258C2×C4×C11—24no—
259C2×C4×C11—22no—
260C2×C4×C11—24no—
261C2×C4×C11—24no—
262C2×C4×C11—22no—
263C2×C4×C11—22no—
264C2×C4×C11—22no—
265C2×C4×C11—22no—
266C2×C4×C11—44no—
267C2×C4×C11C4×D4116yescomplemented
268C2×C4×C11C23×C418yes—
269C2×C4×C11C23×C414yes—
270C2×C4×C11C22×D418yes—
271C2×C4×C11C22×D414yes—
272C2×C4×C11C22×D414yes—
273C2×C4×C11C2×#4114yes—
274C2×Dic11—28no—
275C2×Dic11—28no—
276C2×Dic11—22no—
277C2×Dic11—22no—
278C2×Dic11—22no—
279C2×Dic11—22no—
280C2×Dic11—22no—
281C2×Dic11—24no—
282C2×Dic11—24no—
283C2×Dic11—22no—
284C2×Dic11—24no—
285C2×Dic11—22no—
286C2×Dic11—48no—
287C2×Dic11—44no—
288C2×Dic11C23×C414yes—
289C2×Dic11C22×D414yes—
290D44—264no—
291D44—232no—
292C4×D11—232no—
293C4×D11—432no—
294C4×D11—432no—
295C23×D4—112no—
296C23×D4—111no—
297C24×C4—111no—
298C24×C4—112no—
299C24×C4—112no—
300C2×#121—118no—
301C2×#121—1116no—
302C2×C4×D4—118no—
303C2×C4×D4—1116no—
304C2×C4×D4—2216no—
305C2×C4×D4—228no—
306C22×C4⋊C4—112no—
307C22×C4⋊C4—111no—
308C22×C4⋊C4—112no—
309C22×C4⋊C4—118no—
310C22×C4⋊C4—228no—
311C22×C4⋊C4C2×D1111yescharacteristic
312C22×C4⋊C4C2×D1111yescharacteristic
313C22×C22⋊C4—111no—
314C22×C22⋊C4—112no—
315C22×C22⋊C4—112no—
316C22×C22⋊C4—112no—
317C22×C22⋊C4—111no—
318C22×C22⋊C4—112no—
319C22×C42—111no—
320C22×C42C2×D1112yes—
321C22×C42C2×D1111yescharacteristic
322#390—118no—
323#389—118no—
324#388—1116no—
325#386—1116no—
326#385—1116no—
327C4×C4⋊C4C2×D1118yescomplemented
328C4×C22⋊C4—118no—
329C2×#95—111no—
330C2×#95—111no—
331C2×#95—112no—
332C2×#95C2×D1112yes—
333C22×C11C2×C4×D414yes—
334C22×C11C2×C4×D414yes—
335C22×C11#52014yes—
336C22×C11D4214yes—
337C22×C11#54714yes—
338C22×C11#54814yes—
339C22×C11#55314yes—
340C22×C11C24×C411yescharacteristic
341C22×C11C23×D411yescharacteristic
342C22×C11C23×D411yescharacteristic
343C22×C11C22×#4111yescharacteristic
344C22×C11C22×#4111yescharacteristic
345C22×C11C2×H(5,𝔽2)11yescharacteristic
346C22×C11C2×2−1+411yescharacteristic
347C2×D11—232no—
348C2×D11—24no—
349C2×D11—24no—
350C2×D11—24no—
351C2×D11—24no—
352C2×D11—24no—
353C2×D11—24no—
354C2×D11—28no—
355C2×D11—28no—
356C2×D11—28no—
357C2×D11—432no—
358C2×D11—44no—
359C2×D11—44no—
360C2×D11—44no—
361C2×D11—44no—
362C2×D11C2×C4×D418yescomplemented
363C4×C11—28no—
364C4×C11—28no—
365C4×C11—24no—
366C4×C11—42no—
367C4×C11C2×C4×D418yescomplemented
368Dic11—24no—
369Dic11—24no—
370Dic11—44no—
371Dic11—42no—
372C25—111no—
373C25—112no—
374C22×D4—1116no—
375C22×D4—118no—
376C22×D4—118no—
377C22×D4—114no—
378C22×D4—228no—
379C22×D4—228no—
380C22×D4—224no—
381C22×D4—224no—
382C23×C4—111no—
383C23×C4—111no—
384C23×C4—118no—
385C23×C4—114no—
386C23×C4—111no—
387C23×C4—112no—
388C23×C4—118no—
389C23×C4—118no—
390C23×C4—228no—
391C23×C4—228no—
392C23×C4—224no—
393C23×C4—224no—
394C23×C4—228no—
395C23×C4—228no—
396C23×C4—444no—
397C23×C4—444no—
398C23×C4C22×D1111yescharacteristic
399C23×C4C22×D1112yes—
400C23×C4C22×D1112yes—
401C23×C4C22×D1111yescharacteristic
402C23×C4C22×D1111yescharacteristic
403#121—1164no—
404C4×D4—2264no—
405C4×D4—2232no—
406C2×C4⋊C4—118no—
407C2×C4⋊C4—114no—
408C2×C4⋊C4—118no—
409C2×C4⋊C4—228no—
410C2×C4⋊C4—228no—
411C2×C4⋊C4—224no—
412C2×C4⋊C4—2232no—
413C2×C4⋊C4C4×D1118yescomplemented
414C2×C4⋊C4D4418yescomplemented
415C2×C4⋊C4C22×D1114yes—
416C2×C4⋊C4C22×D1114yes—
417C2×C22⋊C4—1116no—
418C2×C22⋊C4—118no—
419C2×C22⋊C4—114no—
420C2×C22⋊C4—118no—
421C2×C22⋊C4—118no—
422C2×C22⋊C4—118no—
423C2×C22⋊C4—114no—
424C2×C22⋊C4—118no—
425C2×C22⋊C4—224no—
426C2×C22⋊C4—228no—
427C2×C22⋊C4—228no—
428C2×C22⋊C4—444no—
429C2×C42—24no—
430C2×C42—28no—
431C2×C42—114no—
432C2×C42—224no—
433C2×C42C22×D1118yes—
434C2×C42C22×D1114yes—
435#95—114no—
436#95—114no—
437#95—118no—
438#95C22×D1118yes—
439C2×C11#236118yescomplemented
440C2×C11C22×C4×D411yescharacteristic
441C2×C11C22×C4×D411yescharacteristic
442C2×C11C2×#52011yescharacteristic
443C2×C11C2×D4211yescharacteristic
444C2×C11C2×#54711yescharacteristic
445C2×C11C2×#54811yescharacteristic
446C2×C11C2×#55311yescharacteristic
447D11—28no—
448D11—48no—
449C24—114no—
450C24—114no—
451C24—114no—
452C24—112no—
453C24—118no—
454C24—114no—
455C24—222no—
456C24—222no—
457C24—222no—
458C24—222no—
459C24—224no—
460C24—224no—
461C24—224no—
462C24—224no—
463C24—224no—
464C24—224no—
465C24C23×D1111yescharacteristic
466C2×D4—1132no—
467C2×D4—1116no—
468C2×D4—2216no—
469C2×D4—2264no—
470C2×D4—2216no—
471C2×D4—2232no—
472C2×D4—228no—
473C2×D4—228no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—114no—
484C22×C4—114no—
485C22×C4—112no—
486C22×C4—112no—
487C22×C4—1116no—
488C22×C4—112no—
489C22×C4—114no—
490C22×C4—2216no—
491C22×C4—2216no—
492C22×C4—222no—
493C22×C4—222no—
494C22×C4—222no—
495C22×C4—222no—
496C22×C4—2232no—
497C22×C4—228no—
498C22×C4—228no—
499C22×C4—222no—
500C22×C4—224no—
501C22×C4—224no—
502C22×C4—222no—
503C22×C4—222no—
504C22×C4—224no—
505C22×C4—2216no—
506C22×C4—2216no—
507C22×C4—448no—
508C22×C4—448no—
509C22×C4—4432no—
510C22×C4—4432no—
511C22×C4C2×C4×D1118yes—
512C22×C4C2×C4×D1114yes—
513C22×C4C2×D4418yes—
514C22×C4C2×D4414yes—
515C22×C4#433914yes—
516C22×C4D4×D1114yes—
517C22×C4C23×D1112yes—
518C22×C4C23×D1114yes—
519C22×C4C23×D1114yes—
520C22×C4C23×D1112yes—
521C22×C4C23×D1112yes—
522C4⋊C4—2216no—
523C4⋊C4—2216no—
524C4⋊C4—228no—
525C4⋊C4C2×C4×D11116yescomplemented
526C4⋊C4C2×D44116yescomplemented
527C22⋊C4—1132no—
528C22⋊C4—1116no—
529C22⋊C4—228no—
530C22⋊C4—2216no—
531C22⋊C4—2216no—
532C22⋊C4—448no—
533C42—28no—
534C42—216no—
535C42—228no—
536C11C2×#236111yescharacteristic, complemented, Sylow
537C23—1116no—
538C23—114no—
539C23—114no—
540C23—114no—
541C23—118no—
542C23—228no—
543C23—228no—
544C23—228no—
545C23—228no—
546C23—228no—
547C23—228no—
548C23—222no—
549C23—222no—
550C23—222no—
551C23—222no—
552C23—2216no—
553C23—2216no—
554C23—2216no—
555C23—224no—
556C23—224no—
557C23—224no—
558C23—224no—
559C23—224no—
560C23—224no—
561C23—448no—
562C23—448no—
563C23—448no—
564C23—448no—
565C23C22×C4×D1112yes—
566C23C22×D4412yes—
567C23C2×#433912yes—
568C23C2×D4×D1112yes—
569C23#6704012yes—
570C23#41×D1112yes—
571C23#6704212yes—
572C23C24×D1111yescharacteristic
573D4—2264no—
574D4—2232no—
575C2×C4—28no—
576C2×C4—216no—
577C2×C4—216no—
578C2×C4—22no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—22no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—44no—
588C2×C4—114no—
589C2×C4—114no—
590C2×C4—228no—
591C2×C4—228no—
592C2×C4—222no—
593C2×C4—222no—
594C2×C4—222no—
595C2×C4—222no—
596C2×C4—2232no—
597C2×C4—222no—
598C2×C4—224no—
599C2×C4—224no—
600C2×C4—222no—
601C2×C4—222no—
602C2×C4—224no—
603C2×C4—4432no—
604C2×C4—4432no—
605C2×C4—448no—
606C2×C4—444no—
607C2×C4C4×D44116yescomplemented
608C2×C4C22×C4×D1118yes—
609C2×C4C22×C4×D1114yes—
610C2×C4C22×D4418yes—
611C2×C4C22×D4414yes—
612C2×C4C2×#433914yes—
613C2×C4C2×D4×D1114yes—
614C22—118no—
615C22—2232no—
616C22—224no—
617C22—224no—
618C22—224no—
619C22—224no—
620C22—224no—
621C22—224no—
622C22—228no—
623C22—228no—
624C22—228no—
625C22—4432no—
626C22—444no—
627C22—444no—
628C22—444no—
629C22—444no—
630C22C2×C4×D4414yes—
631C22#1062303814yes—
632C22#1062306114yes—
633C22C4×D4×D1114yes—
634C22D4×D4414yes—
635C22#1062310514yes—
636C22#1062310714yes—
637C22C23×C4×D1111yescharacteristic
638C22C23×D4411yescharacteristic
639C22C22×#433911yescharacteristic
640C22C22×D4×D1111yescharacteristic
641C22C2×#6704011yescharacteristic
642C22C2×#41×D1111yescharacteristic
643C22C2×#6704211yescharacteristic
644C4—28no—
645C4—28no—
646C4—24no—
647C4—42no—
648C4—224no—
649C4—224no—
650C4—444no—
651C4—442no—
652C4C2×C4×D4418yescomplemented
653C2—228no—
654C2—448no—
655C2#1307163418yesdirect product factor
656C2C2×C4×D4×D1111yescharacteristic
657C2C22×C4×D4411yescharacteristic
658C2C2×#1062310511yescharacteristic
659C2C2×D4×D4411yescharacteristic
660C2C2×#1062303811yescharacteristic
661C2C2×#1062310711yescharacteristic
662C2C2×#1062306111yescharacteristic
subgroupG/H
centerC24C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC2×C4×C11×C4⋊C4C2
socleC24×C11C24
prime radicalC22×#66948C2
cosocleC23×C11C25
hypercenterC2×C4×C4⋊C4D11
hypocenterC11C2×#2361
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C22×C4×D44C2semidirect
3. C22×#66946C2semidirect
4. C22×C4⋊C4×D11C2semidirect
5. #13071634C2direct (N × H)
6. C2×#10622552C2semidirect
7. C2×#10622598C2semidirect
8. C2×#10622553C2semidirect
9. C2×#10622278C2semidirect
10. C2×#10622281C2semidirect
11. C2×C4×(C2×D11)⋊C4C2semidirect
12. C2×C4×C11×C4⋊C4C2semidirect
32. C2×#66948C4semidirect
35. C2×#66946C22semidirect
37. C2×C4⋊C4×D11C22semidirect
39. C2×C4×D44C22semidirect
40. C4×C11×C4⋊C4C22semidirect
45. #10622598C22semidirect
46. #10622553C22semidirect
47. #10622552C22semidirect
48. C4×(C2×D11)⋊C4C22semidirect
49. #10622281C22semidirect
50. #10622278C22semidirect
66. C22×D44C2×C4semidirect
67. C22×D44C2×C4semidirect
78. C22×C4×D11C2×C4semidirect
82. C2×C11×C4⋊C4C2×C4semidirect
83. C2×C11×C4⋊C4D4semidirect
94. C2×(C2×D11)⋊C4C2×C4semidirect
95. C2×(C2×D11)⋊C4D4semidirect
110. #66948C2×C4semidirect
178. C2×D44C22×C4semidirect
179. C2×D44C22×C4semidirect
191. C2×C4×D11C22×C4semidirect
192. C11×C4⋊C4C22×C4semidirect
193. C11×C4⋊C4C2×D4semidirect
200. (C2×D11)⋊C4C22×C4semidirect
201. (C2×D11)⋊C4C2×D4semidirect
216. C2×C4×C4⋊C4D11semidirect
249. C22×D11C4×D4semidirect
267. C2×C4×C11C4×D4semidirect
327. C4×C4⋊C4C2×D11semidirect
362. C2×D11C2×C4×D4semidirect
367. C4×C11C2×C4×D4semidirect
413. C2×C4⋊C4C4×D11semidirect
414. C2×C4⋊C4D44semidirect
439. C2×C11#2361semidirect
525. C4⋊C4C2×C4×D11semidirect
526. C4⋊C4C2×D44semidirect
536. C11C2×#2361semidirect
607. C2×C4C4×D44semidirect
652. C4C2×C4×D44semidirect
655. C2#13071634direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669482
C22×C4×D442
C22×#669462
C22×C4⋊C4×D112
#130716342
C2×#106225522
C2×#106225982
C2×#106225532
C2×#106222782
C2×#106222812
C2×C4×(C2×D11)⋊C42
C2×C4×C11×C4⋊C42
C2×#236111