Finite Group Databasebeta

← C2×#13071102 #14912159

Subgroups — C2×#13071102 #14912159

Order 2816.

6174 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#4339C211yesmaximal, characteristic
2C22×#66925C211yesmaximal, characteristic, complemented
3C22×C42×D11C211yesmaximal, characteristic, complemented
4#13071102C2116yesmaximal, direct product factor
5C2×#10622259C212yesmaximal, complemented
6C2×#10622570C212yesmaximal, complemented
7C2×#10622278C212yesmaximal, complemented
8C2×#10622569C212yesmaximal, complemented
9C2×C4×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
10C2×C4×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
11C2×C4×C22⋊Dic11C211yesmaximal, characteristic, complemented
12C2×C4×C11×C22⋊C4C211yesmaximal, characteristic, complemented
13C24×C4×C11C2211yescharacteristic
14C23×C22⋊D11C2211yescharacteristic
15C23×C22⋊D11C2211yescharacteristic
16C22×#4339—28no—
17C22×#4339—28no—
18C22×#4339C4116yescomplemented
19C22×#4339C2218yes—
20C23×D44C2211yescharacteristic
21C23×C4×D11C2212yes—
22C23×C4×D11C2211yescharacteristic
23C23×C4×D11C2211yescharacteristic
24C23×Dic22C2211yescharacteristic
25C22×C11×C22⋊C4C2212yes—
26C22×C42×C11C2211yescharacteristic
27C22×C42×C11C2211yescharacteristic
28C22×C22⋊Dic11C2212yes—
29C22×(C2×D11)⋊C4C2212yes—
30C22×(C2×D11)⋊C4C2212yes—
31C22×(C2×D11)⋊C4C2212yes—
32C22×Dic11⋊C4C2212yes—
33C22×C4×Dic11C2211yescharacteristic
34C22×C4×Dic11C2211yescharacteristic
35C22×C4×Dic11C2212yes—
36C2×#66925—28no—
37C2×#66925C2218yescomplemented
38C2×C42×D11—28no—
39C2×C42×D11C2218yescomplemented
40C4×C11×C22⋊C4C2218yescomplemented
41C2×C11×#95C2212yes—
42C4×C22⋊Dic11C2218yescomplemented
43C2×C11⋊#95C2212yes—
44C2×C11⋊#95C2212yes—
45C2×C11⋊#95C2212yes—
46#10622570C22116yescomplemented
47#10622569C22116yescomplemented
48C4×(C2×D11)⋊C4C2218yescomplemented
49C4×(C2×D11)⋊C4C2218yescomplemented
50#10622278C22116yescomplemented
51#10622259C22116yescomplemented
52C25×C11C2311yescharacteristic
53C24×D11C2311yescharacteristic
54C24×D11C2311yescharacteristic
55C23×C4×C11—24no—
56C23×C4×C11—24no—
57C23×C4×C11C2×C418yescomplemented
58C23×C4×C11C2312yes—
59C23×C4×C11C2311yescharacteristic
60C23×C4×C11C2314yes—
61C23×C4×C11C2312yes—
62C23×C4×C11C2311yescharacteristic
63C22×C22⋊D11—24no—
64C22×C22⋊D11—24no—
65C22×C22⋊D11—24no—
66C22×C22⋊D11—24no—
67C22×C22⋊D11C2×C418yes—
68C22×C22⋊D11C2×C418yescomplemented
69C22×C22⋊D11C2314yes—
70C22×C22⋊D11C2314yes—
71C23×Dic11C2312yes—
72C23×Dic11C2311yescharacteristic
73C23×Dic11C2312yes—
74C23×Dic11C2311yescharacteristic
75C2×#4339—2128no—
76C2×#4339—232no—
77C2×#4339—232no—
78C2×#4339C2×C4164yescomplemented
79C22×D44—24no—
80C22×D44—24no—
81C22×D44C2×C418yes—
82C22×D44C2314yes—
83C22×C4×D11—28no—
84C22×C4×D11—24no—
85C22×C4×D11—24no—
86C22×C4×D11—28no—
87C22×C4×D11—28no—
88C22×C4×D11C2×C418yes—
89C22×C4×D11C2×C418yescomplemented
90C22×C4×D11D418yes—
91C22×C4×D11D418yes—
92C22×C4×D11C2318yes—
93C22×C4×D11C2314yes—
94C22×C4×D11C2314yes—
95C22×Dic22—24no—
96C22×Dic22—24no—
97C22×Dic22C2×C418yescomplemented
98C22×Dic22C2314yes—
99C2×C11×C22⋊C4—28no—
100C2×C11×C22⋊C4C2318yes—
101C2×C42×C11—24no—
102C2×C42×C11—24no—
103C2×C42×C11C2314yes—
104C2×C42×C11C2314yes—
105C2×C22⋊Dic11—28no—
106C2×C22⋊Dic11C2318yes—
107C2×(C2×D11)⋊C4—28no—
108C2×(C2×D11)⋊C4—28no—
109C2×(C2×D11)⋊C4—28no—
110C2×(C2×D11)⋊C4C2318yes—
111C2×(C2×D11)⋊C4C2318yes—
112C2×(C2×D11)⋊C4C2318yes—
113C2×Dic11⋊C4—28no—
114C2×Dic11⋊C4C2318yes—
115C2×C4×Dic11—24no—
116C2×C4×Dic11—24no—
117C2×C4×Dic11—28no—
118C2×C4×Dic11C2318yes—
119C2×C4×Dic11C2314yes—
120C2×C4×Dic11C2314yes—
121#66925—232no—
122C42×D11—232no—
123C11×#95C2318yes—
124C11⋊#95C2318yes—
125C11⋊#95C2318yes—
126C11⋊#95C2318yes—
127C2×#2297—111nomaximal, Sylow
128C24×C11—22no—
129C24×C11—22no—
130C24×C11—24no—
131C24×C11—24no—
132C24×C11C22×C414yes—
133C24×C11C2412yes—
134C24×C11C2411yescharacteristic
135C23×D11—24no—
136C23×D11—24no—
137C23×D11—22no—
138C23×D11—22no—
139C23×D11—24no—
140C23×D11—24no—
141C23×D11C22×C414yes—
142C23×D11C22×C414yes—
143C23×D11C2×D414yes—
144C23×D11C2×D414yes—
145C23×D11C2412yes—
146C23×D11C2412yes—
147C22×C4×C11—24no—
148C22×C4×C11—22no—
149C22×C4×C11—22no—
150C22×C4×C11—24no—
151C22×C4×C11—232no—
152C22×C4×C11—28no—
153C22×C4×C11—28no—
154C22×C4×C11—24no—
155C22×C4×C11—24no—
156C22×C4×C11—24no—
157C22×C4×C11C22×C414yes—
158C22×C4×C11C22×C414yes—
159C22×C4×C11C22×C4116yescomplemented
160C22×C4×C11C2×D414yes—
161C22×C4×C11C2×D414yes—
162C22×C4×C11#4118yescomplemented
163C22×C4×C11C2414yes—
164C22×C4×C11C2412yes—
165C22×C4×C11C2414yes—
166C22×C4×C11C2412yes—
167C2×C22⋊D11—232no—
168C2×C22⋊D11—28no—
169C2×C22⋊D11—28no—
170C2×C22⋊D11—232no—
171C2×C22⋊D11—28no—
172C2×C22⋊D11—28no—
173C2×C22⋊D11C22×C4116yes—
174C2×C22⋊D11C22×C4116yescomplemented
175C22×Dic11—24no—
176C22×Dic11—22no—
177C22×Dic11—22no—
178C22×Dic11—24no—
179C22×Dic11—24no—
180C22×Dic11—24no—
181C22×Dic11—24no—
182C22×Dic11C22×C414yes—
183C22×Dic11C22×C414yes—
184C22×Dic11C2×D414yes—
185C22×Dic11C2×D414yes—
186C22×Dic11#4118yescomplemented
187C22×Dic11C2414yes—
188C22×Dic11C2412yes—
189C22×Dic11C2414yes—
190C22×Dic11C2412yes—
191#4339—2256no—
192C2×D44—232no—
193C2×D44—28no—
194C2×D44—28no—
195C2×D44C22×C4116yes—
196C2×C4×D11—264no—
197C2×C4×D11—216no—
198C2×C4×D11—216no—
199C2×C4×D11—232no—
200C2×C4×D11—28no—
201C2×C4×D11—28no—
202C2×C4×D11—216no—
203C2×C4×D11C22⋊C4164yescomplemented
204C2×C4×D11C22×C4116yes—
205C2×C4×D11C22×C4116yescomplemented
206C2×C4×D11C2×D4116yes—
207C2×C4×D11C2×D4116yes—
208C2×Dic22—232no—
209C2×Dic22—28no—
210C2×Dic22—28no—
211C2×Dic22C22×C4116yescomplemented
212C11×C22⋊C4—216no—
213C42×C11—28no—
214C42×C11—28no—
215C22⋊Dic11—216no—
216(C2×D11)⋊C4—216no—
217(C2×D11)⋊C4—216no—
218(C2×D11)⋊C4—216no—
219Dic11⋊C4—216no—
220C4×Dic11—216no—
221C4×Dic11—28no—
222C4×Dic11—28no—
223C23×#41—111no—
224C22×#117—111no—
225C23×C42—111no—
226#2297—1116no—
227C2×#391—112no—
228C2×#390—112no—
229C2×#386—112no—
230C2×#386—112no—
231C2×C4×C22⋊C4—111no—
232C2×C4×C22⋊C4—111no—
233C2×C4×C22⋊C4—111no—
234C2×C4×C22⋊C4D1111yescharacteristic, complemented
235C23×C11—28no—
236C23×C11—28no—
237C23×C11—28no—
238C23×C11—22no—
239C23×C11—22no—
240C23×C11—24no—
241C23×C11—24no—
242C23×C11—48no—
243C23×C11—48no—
244C23×C11C23×C414yes—
245C23×C11C23×C412yes—
246C23×C11C22×D412yes—
247C23×C11C22×D412yes—
248C23×C11C2×#4114yes—
249C23×C11C2×#4114yes—
250C23×C11C2511yescharacteristic
251C22×D11—28no—
252C22×D11—28no—
253C22×D11—216no—
254C22×D11—216no—
255C22×D11—24no—
256C22×D11—24no—
257C22×D11—28no—
258C22×D11—28no—
259C22×D11—28no—
260C22×D11—22no—
261C22×D11—22no—
262C22×D11—24no—
263C22×D11—24no—
264C22×D11—48no—
265C22×D11—48no—
266C22×D11C2×C22⋊C4116yes—
267C22×D11C23×C414yes—
268C22×D11C23×C414yes—
269C22×D11C22×D414yes—
270C22×D11C22×D414yes—
271C2×C4×C11—28no—
272C2×C4×C11—216no—
273C2×C4×C11—24no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—24no—
277C2×C4×C11—232no—
278C2×C4×C11—24no—
279C2×C4×C11—24no—
280C2×C4×C11—24no—
281C2×C4×C11—48no—
282C2×C4×C11C2×C22⋊C4116yes—
283C2×C4×C11C23×C414yes—
284C2×C4×C11C23×C414yes—
285C2×C4×C11C22×D414yes—
286C2×C4×C11C22×D414yes—
287C2×C4×C11C2×#4118yescomplemented
288C22⋊D11—232no—
289C22⋊D11—232no—
290C2×Dic11—28no—
291C2×Dic11—216no—
292C2×Dic11—24no—
293C2×Dic11—22no—
294C2×Dic11—22no—
295C2×Dic11—24no—
296C2×Dic11—24no—
297C2×Dic11—24no—
298C2×Dic11—24no—
299C2×Dic11—48no—
300C2×Dic11C2×C22⋊C4116yes—
301C2×Dic11C23×C414yes—
302C2×Dic11C23×C414yes—
303C2×Dic11C22×D414yes—
304C2×Dic11C22×D414yes—
305C2×Dic11C2×#4118yescomplemented
306D44—232no—
307C4×D11—264no—
308C4×D11—232no—
309C4×D11C2×C22⋊C4164yescomplemented
310Dic22—232no—
311C22×#41—118no—
312C22×#41—1116no—
313C22×#41—228no—
314C22×#41—228no—
315C23×Q8—111no—
316C23×D4—111no—
317C23×D4—111no—
318C23×D4—111no—
319C24×C4—111no—
320C24×C4—111no—
321C24×C4—112no—
322C24×C4C2×D1111yescharacteristic
323C2×#117—118no—
324C2×#117—228no—
325C22×C4⋊C4—112no—
326C22×C22⋊C4—112no—
327C22×C22⋊C4—112no—
328C22×C22⋊C4—112no—
329C22×C22⋊C4—112no—
330C22×C22⋊C4C2×D1112yes—
331C22×C42—112no—
332C22×C42—111no—
333C22×C42—111no—
334C22×C42—118no—
335C22×C42—228no—
336C22×C42C2×D1111yescharacteristic
337C22×C42C2×D1111yescharacteristic
338#391—1116no—
339#390—1116no—
340#386—1116no—
341#386—1116no—
342C4×C22⋊C4—118no—
343C4×C22⋊C4—118no—
344C4×C22⋊C4—118no—
345C4×C22⋊C4C2×D1118yescomplemented
346C2×#95—112no—
347C2×#95—112no—
348C2×#95—112no—
349C2×#95C2×D1112yes—
350C22×C11—24no—
351C22×C11—24no—
352C22×C11—24no—
353C22×C11—44no—
354C22×C11—44no—
355C22×C11—416no—
356C22×C11C22×C22⋊C414yes—
357C22×C11C4×#4114yes—
358C22×C11C4×#4114yes—
359C22×C11#52518yes—
360C22×C11#53218yes—
361C22×C11C24×C411yescharacteristic
362C22×C11C23×D411yescharacteristic
363C22×C11C23×D411yescharacteristic
364C22×C11C22×#4112yes—
365C22×C11C22×#4112yes—
366C2×D11—24no—
367C2×D11—24no—
368C2×D11—28no—
369C2×D11—28no—
370C2×D11—232no—
371C2×D11—24no—
372C2×D11—24no—
373C2×D11—24no—
374C2×D11—44no—
375C2×D11—44no—
376C2×D11—416no—
377C2×D11C22×C22⋊C418yes—
378C4×C11—24no—
379C4×C11—28no—
380C4×C11—44no—
381C4×C11C22×C22⋊C418yes—
382Dic11—24no—
383Dic11—28no—
384Dic11—44no—
385Dic11C22×C22⋊C418yes—
386C25—111no—
387C25—111no—
388C25C22×D1111yescharacteristic
389C2×#41—1164no—
390C2×#41—22128no—
391C2×#41—2232no—
392C2×#41—2232no—
393C22×Q8—118no—
394C22×Q8—114no—
395C22×Q8—224no—
396C22×Q8—224no—
397C22×D4—118no—
398C22×D4—118no—
399C22×D4—114no—
400C22×D4—114no—
401C22×D4—118no—
402C22×D4—114no—
403C22×D4—224no—
404C22×D4—224no—
405C22×D4—224no—
406C22×D4—224no—
407C22×D4—224no—
408C22×D4—224no—
409C23×C4—24no—
410C23×C4—24no—
411C23×C4—111no—
412C23×C4—118no—
413C23×C4—118no—
414C23×C4—118no—
415C23×C4—114no—
416C23×C4—112no—
417C23×C4—111no—
418C23×C4—118no—
419C23×C4—114no—
420C23×C4—112no—
421C23×C4—118no—
422C23×C4—228no—
423C23×C4—228no—
424C23×C4—228no—
425C23×C4—224no—
426C23×C4—224no—
427C23×C4C4×D1118yescomplemented
428C23×C4C22×D1112yes—
429C23×C4C22×D1111yescharacteristic
430C23×C4C22×D1114yes—
431C23×C4C22×D1112yes—
432C23×C4C22×D1111yescharacteristic
433#117—2232no—
434C2×C4⋊C4—118no—
435C2×C4⋊C4—228no—
436C2×C22⋊C4—28no—
437C2×C22⋊C4—118no—
438C2×C22⋊C4—118no—
439C2×C22⋊C4—118no—
440C2×C22⋊C4—118no—
441C2×C22⋊C4—228no—
442C2×C22⋊C4—228no—
443C2×C22⋊C4—228no—
444C2×C22⋊C4—228no—
445C2×C22⋊C4C22×D1118yes—
446C2×C42—24no—
447C2×C42—24no—
448C2×C42—114no—
449C2×C42—114no—
450C2×C42—118no—
451C2×C42—2232no—
452C2×C42—228no—
453C2×C42—224no—
454C2×C42—224no—
455C2×C42C22×D1114yes—
456C2×C42C22×D1114yes—
457#95—118no—
458#95—118no—
459#95—118no—
460#95C22×D1118yes—
461C2×C11—44no—
462C2×C11#229718yescomplemented
463C2×C11C23×C22⋊C411yescharacteristic
464C2×C11C2×C4×#4111yescharacteristic
465C2×C11C2×C4×#4111yescharacteristic
466C2×C11C2×#52512yes—
467C2×C11C2×#53212yes—
468D11—28no—
469D11—44no—
470C24—24no—
471C24—22no—
472C24—22no—
473C24—24no—
474C24—114no—
475C24—114no—
476C24—114no—
477C24—112no—
478C24—114no—
479C24—112no—
480C24—224no—
481C24—224no—
482C24—224no—
483C24—222no—
484C24—222no—
485C24—224no—
486C24C2×C4×D1114yes—
487C24C23×D1112yes—
488C24C23×D1111yescharacteristic
489#41—22256no—
490C2×Q8—1116no—
491C2×Q8—2232no—
492C2×Q8—228no—
493C2×Q8—228no—
494C2×D4—1116no—
495C2×D4—1116no—
496C2×D4—1116no—
497C2×D4—2232no—
498C2×D4—228no—
499C2×D4—228no—
500C2×D4—2232no—
501C2×D4—228no—
502C2×D4—228no—
503C2×D4—2232no—
504C2×D4—228no—
505C2×D4—228no—
506C22×C4—24no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—24no—
510C22×C4—232no—
511C22×C4—28no—
512C22×C4—28no—
513C22×C4—24no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—114no—
517C22×C4—114no—
518C22×C4—114no—
519C22×C4—112no—
520C22×C4—1164no—
521C22×C4—1116no—
522C22×C4—1116no—
523C22×C4—1116no—
524C22×C4—114no—
525C22×C4—118no—
526C22×C4—112no—
527C22×C4—114no—
528C22×C4—1116no—
529C22×C4—114no—
530C22×C4—2216no—
531C22×C4—2216no—
532C22×C4—2264no—
533C22×C4—224no—
534C22×C4—224no—
535C22×C4—222no—
536C22×C4—222no—
537C22×C4—2232no—
538C22×C4—2216no—
539C22×C4—228no—
540C22×C4—228no—
541C22×C4—224no—
542C22×C4—224no—
543C22×C4—224no—
544C22×C4C2×C4×D1114yes—
545C22×C4C2×C4×D1114yes—
546C22×C4C2×C4×D11116yescomplemented
547C22×C4#433918yescomplemented
548C22×C4D4×D1114yes—
549C22×C4D4×D1114yes—
550C22×C4C23×D1114yes—
551C22×C4C23×D1112yes—
552C22×C4C23×D1114yes—
553C22×C4C23×D1112yes—
554C4⋊C4—2216no—
555C22⋊C4—216no—
556C22⋊C4—2216no—
557C22⋊C4—2216no—
558C22⋊C4—2216no—
559C22⋊C4—2216no—
560C42—28no—
561C42—28no—
562C42—2216no—
563C42—228no—
564C42—228no—
565C11C2×#229711yescharacteristic, complemented, Sylow
566C23—28no—
567C23—28no—
568C23—28no—
569C23—24no—
570C23—22no—
571C23—22no—
572C23—24no—
573C23—48no—
574C23—48no—
575C23—1116no—
576C23—114no—
577C23—114no—
578C23—114no—
579C23—114no—
580C23—228no—
581C23—228no—
582C23—2216no—
583C23—2216no—
584C23—224no—
585C23—224no—
586C23—228no—
587C23—228no—
588C23—228no—
589C23—224no—
590C23—222no—
591C23—222no—
592C23—224no—
593C23—448no—
594C23—448no—
595C23C22×C4×D1114yes—
596C23C22×C4×D1112yes—
597C23C2×#433914yes—
598C23C2×D4×D1112yes—
599C23C2×D4×D1112yes—
600C23#41×D1114yes—
601C23C24×D1111yescharacteristic
602Q8—2232no—
603D4—2232no—
604D4—2232no—
605D4—2232no—
606C2×C4—28no—
607C2×C4—216no—
608C2×C4—24no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—24no—
612C2×C4—232no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—48no—
617C2×C4—1116no—
618C2×C4—114no—
619C2×C4—114no—
620C2×C4—114no—
621C2×C4—1164no—
622C2×C4—114no—
623C2×C4—118no—
624C2×C4—2264no—
625C2×C4—228no—
626C2×C4—2216no—
627C2×C4—224no—
628C2×C4—224no—
629C2×C4—222no—
630C2×C4—222no—
631C2×C4—2232no—
632C2×C4—224no—
633C2×C4—224no—
634C2×C4—224no—
635C2×C4—448no—
636C2×C4C22⋊C4×D11116yes—
637C2×C4C22×C4×D1114yes—
638C2×C4C22×C4×D1114yes—
639C2×C4C2×#433918yescomplemented
640C2×C4C2×D4×D1114yes—
641C2×C4C2×D4×D1114yes—
642C22—24no—
643C22—24no—
644C22—24no—
645C22—44no—
646C22—44no—
647C22—416no—
648C22—118no—
649C22—228no—
650C22—228no—
651C22—224no—
652C22—224no—
653C22—2232no—
654C22—224no—
655C22—224no—
656C22—224no—
657C22—444no—
658C22—444no—
659C22—4416no—
660C22C4×#433914yes—
661C22C2×C22⋊C4×D1114yes—
662C22#1062305314yes—
663C22#1062307818yes—
664C22#1062307918yes—
665C22C23×C4×D1111yescharacteristic
666C22C22×#433912yes—
667C22C22×D4×D1111yescharacteristic
668C22C22×D4×D1111yescharacteristic
669C22C2×#41×D1112yes—
670C4—28no—
671C4—24no—
672C4—44no—
673C4—118no—
674C4—228no—
675C4—224no—
676C4—444no—
677C4C2×C22⋊C4×D1118yes—
678C2—44no—
679C2—228no—
680C2—444no—
681C2#1307110218yesdirect product factor
682C2C22×C22⋊C4×D1111yescharacteristic
683C2C2×#1062305311yescharacteristic
684C2C2×C4×#433911yescharacteristic
685C2C2×#1062307812yes—
686C2C2×#1062307912yes—
subgroupG/H
centerC23×C4C22×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC2×C4×C11×C22⋊C4C2
socleC24×C11C24
prime radicalC23×#4339C2
cosocleC23×C11C25
hypercenterC2×C4×C22⋊C4D11
hypocenterC11C2×#2297
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23×C4 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C22×#66925C2semidirect
3. C22×C42×D11C2semidirect
4. #13071102C2direct (N × H)
5. C2×#10622259C2semidirect
6. C2×#10622570C2semidirect
7. C2×#10622278C2semidirect
8. C2×#10622569C2semidirect
9. C2×C4×(C2×D11)⋊C4C2semidirect
10. C2×C4×(C2×D11)⋊C4C2semidirect
11. C2×C4×C22⋊Dic11C2semidirect
12. C2×C4×C11×C22⋊C4C2semidirect
18. C22×#4339C4semidirect
37. C2×#66925C22semidirect
39. C2×C42×D11C22semidirect
40. C4×C11×C22⋊C4C22semidirect
42. C4×C22⋊Dic11C22semidirect
46. #10622570C22semidirect
47. #10622569C22semidirect
48. C4×(C2×D11)⋊C4C22semidirect
49. C4×(C2×D11)⋊C4C22semidirect
50. #10622278C22semidirect
51. #10622259C22semidirect
57. C23×C4×C11C2×C4semidirect
68. C22×C22⋊D11C2×C4semidirect
78. C2×#4339C2×C4semidirect
89. C22×C4×D11C2×C4semidirect
97. C22×Dic22C2×C4semidirect
159. C22×C4×C11C22×C4semidirect
162. C22×C4×C11#41semidirect
174. C2×C22⋊D11C22×C4semidirect
186. C22×Dic11#41semidirect
203. C2×C4×D11C22⋊C4semidirect
205. C2×C4×D11C22×C4semidirect
211. C2×Dic22C22×C4semidirect
234. C2×C4×C22⋊C4D11semidirect
287. C2×C4×C11C2×#41semidirect
305. C2×Dic11C2×#41semidirect
309. C4×D11C2×C22⋊C4semidirect
345. C4×C22⋊C4C2×D11semidirect
427. C23×C4C4×D11semidirect
462. C2×C11#2297semidirect
546. C22×C4C2×C4×D11semidirect
547. C22×C4#4339semidirect
565. C11C2×#2297semidirect
639. C2×C4C2×#4339semidirect
681. C2#13071102direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#43392
C22×#669252
C22×C42×D112
#130711022
C2×#106222592
C2×#106225702
C2×#106222782
C2×#106225692
C2×C4×(C2×D11)⋊C42
C2×C4×C22⋊Dic112
C2×C4×C11×C22⋊C42
C2×#229711