Finite Group Databasebeta

← #28404178

Subgroups — #28404178

Order 14464.

1242 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20299331C211yesmaximal, characteristic, complemented
2#20299307C211yesmaximal, characteristic, complemented
3#20299303C211yesmaximal, characteristic, complemented
4#20299298C211yesmaximal, characteristic, complemented
5#20299297C212yesmaximal, complemented
6#20299296C211yesmaximal, characteristic, complemented
7#20299277C212yesmaximal, complemented
8#20299274C212yesmaximal, complemented
9#20299243C211yesmaximal, characteristic, complemented
10#20299242C211yesmaximal, characteristic, complemented
11#20299238C212yesmaximal, complemented
12D4×C22⋊D113C211yesmaximal, characteristic, complemented
13#20299145C211yesmaximal, characteristic, complemented
14#20299132C211yesmaximal, characteristic, complemented
15#20299130C211yesmaximal, characteristic, complemented
16#20299128C212yesmaximal, complemented
17#20299109C212yesmaximal, complemented
18#20299107C212yesmaximal, complemented
19C4×#14268647C211yesmaximal, characteristic, complemented
20C4×#14268646C211yesmaximal, characteristic, complemented
21C2×C4×C22⋊D113C212yesmaximal, complemented
22C4×D4×D113C211yesmaximal, characteristic, complemented
23C2×C4×D4×C113C211yesmaximal, characteristic, complemented
24C2×#14268647C2211yescharacteristic
25C2×#14268647C2212yescomplemented
26C2×#14268646C2211yescharacteristic
27C22×C22⋊D113C2212yes—
28C2×D4×D113C2211yescharacteristic
29C22×C4×D113C2212yescomplemented
30#16813621C2211yescharacteristic, complemented
31#16813618C2211yescharacteristic
32#16813617C2212yescomplemented
33#16813616C2212yescomplemented
34#16813615C2212yescomplemented
35#16813615C2212yescomplemented
36#16813614C2211yescharacteristic, complemented
37#16813613C2211yescharacteristic, complemented
38#16813612C2212yescomplemented
39#16813610C2211yescharacteristic, complemented
40#16813609C2211yescharacteristic, complemented
41#16813608C2212yescomplemented
42#16813608C2212yescomplemented
43#16813607C2212yescomplemented
44#16813606C2212yescomplemented
45#16813605C2212yescomplemented
46#16813605C2212yescomplemented
47#16813605C2212yescomplemented
48#16813604C2212yescomplemented
49#16813604C2212yescomplemented
50#16813603C2212yescomplemented
51#16813602C2211yescharacteristic, complemented
52#16813601C2212yescomplemented
53#16813601C2212yescomplemented
54#16813601C2211yescharacteristic, complemented
55#16813600C2212yescomplemented
56#16813599C2212yescomplemented
57#16813599C2212yescomplemented
58#16813597C2211yescharacteristic, complemented
59#16813596C2211yescharacteristic
60#16813596C2212yescomplemented
61#16813596C2212yescomplemented
62#16813595C2212yescomplemented
63#16813595C2212yescomplemented
64#16813594C2212yes—
65#16813594C2212yescomplemented
66#16813593C2211yescharacteristic
67#16813593C2211yescharacteristic, complemented
68#16813592C2212yescomplemented
69#16813591C2212yes—
70#16813591C2212yescomplemented
71#16813590C2212yes—
72C4×Dic226C2211yescharacteristic, complemented
73C4×Dic226C2211yescharacteristic, complemented
74C4×Dic226C2211yescharacteristic, complemented
75#16813587C2211yescharacteristic, complemented
76C4×D452C2211yescharacteristic, complemented
77C4×D452C2211yescharacteristic, complemented
78C4×D452C2211yescharacteristic, complemented
79D4×Dic113C2211yescharacteristic
80D4×Dic113C2211yescharacteristic
81#16813584C2211yescharacteristic, complemented
82C4×C22⋊D113C2212yes—
83C4×C22⋊D113C2211yescharacteristic
84C4×C22⋊D113C2211yescharacteristic
85C4×C22⋊D113C2212yescomplemented
86C4×C22⋊D113C2212yescomplemented
87C4×C22⋊D113C2211yescharacteristic, complemented
88C4×C22⋊D113C2212yescomplemented
89C4×C22⋊D113C2212yescomplemented
90C4×C22⋊D113C2212yescomplemented
91C4×C22⋊D113C2212yescomplemented
92C4×C22⋊D113C2212yescomplemented
93C4×C22⋊D113C2212yescomplemented
94C4×C22⋊D113C2211yescharacteristic, complemented
95#16813582C2212yescomplemented
96#16813582C2212yescomplemented
97#16813581C2211yescharacteristic, complemented
98#16813581C2212yescomplemented
99#16813580C2211yescharacteristic, complemented
100#16813579C2211yescharacteristic, complemented
101#16813579C2211yescharacteristic, complemented
102#16813579C2212yescomplemented
103#16813578C2212yescomplemented
104C2×#14268626C2212yescomplemented
105C4⋊C4×D113C2211yescharacteristic, complemented
106C2×C22⋊Dic113C2212yescomplemented
107C2×#14268624C2212yescomplemented
108C22⋊C4×D113C2212yescomplemented
109C2×C4×Dic113C2212yescomplemented
110C42×D113C2211yescharacteristic, complemented
111C42×D113C2211yescharacteristic, complemented
112C22×D4×C113C2211yescharacteristic
113C23×C4×C113C2212yescomplemented
114C4×D4×C113C2211yescharacteristic
115C4×D4×C113C2211yescharacteristic
116C4×D4×C113C2212yescomplemented
117C4×D4×C113C2211yescharacteristic, complemented
118C4×D4×C113C2212yescomplemented
119C4×D4×C113C2211yescharacteristic, complemented
120C2×C4⋊C4×C113C2211yescharacteristic, complemented
121C2×C22⋊C4×C113C2212yescomplemented
122C2×C42×C113C2211yescharacteristic, complemented
123C23×D113C2312yes—
124#14268647—24no—
125#14268647—44no—
126#14268646—24no—
127C2×Dic226C2311yescharacteristic
128C2×Dic226C2311yescharacteristic
129C2×Dic226C2312yes—
130C2×D452C2311yescharacteristic
131C2×D452C2311yescharacteristic
132C2×D452C2312yes—
133C2×C22⋊D113—28no—
134C2×C22⋊D113C2312yes—
135C2×C22⋊D113C2312yes—
136C2×C22⋊D113C2312yes—
137C2×C22⋊D113C2312yes—
138C2×C22⋊D113C2311yescharacteristic
139C2×C22⋊D113C2312yes—
140C2×C22⋊D113C2312yes—
141C2×C22⋊D113C2312yes—
142C2×C22⋊D113C2311yescharacteristic
143D4×D113—24no—
144C22×Dic113C2312yes—
145C22×Dic113C2312yes—
146C22×Dic113C2312yes—
147C2×C4×D113—44no—
148C2×C4×D113C2311yescharacteristic
149C2×C4×D113C2311yescharacteristic
150C2×C4×D113C2311yescharacteristic
151C2×C4×D113C2311yescharacteristic
152C2×C4×D113C2311yescharacteristic
153C2×C4×D113C2311yescharacteristic
154C2×C4×D113C2312yes—
155C2×C4×D113C2312yes—
156C2×C4×D113C2312yes—
157C4⋊Dic113C2311yescharacteristic
158C4⋊Dic113C2311yescharacteristic
159C4⋊Dic113C2311yescharacteristic
160C4⋊Dic113C2311yescharacteristic
161C4⋊Dic113C2312yes—
162C4⋊Dic113C2312yes—
163#14268626C2312yes—
164#14268626C2311yescharacteristic
165#14268626C2312yes—
166#14268626C2312yes—
167#14268626C2312yes—
168#14268626C2312yes—
169#14268626C2312yes—
170#14268626C2311yescharacteristic
171#14268626C2311yescharacteristic
172#14268626C2311yescharacteristic
173#14268626C2312yes—
174#14268626C2312yes—
175C22⋊Dic113C2312yes—
176C22⋊Dic113C2311yescharacteristic
177C22⋊Dic113C2312yes—
178C22⋊Dic113C2312yes—
179C22⋊Dic113C2312yes—
180C22⋊Dic113C2312yes—
181C22⋊Dic113C2311yescharacteristic
182C22⋊Dic113C2312yes—
183C22⋊Dic113C2312yes—
184#14268624C2312yes—
185#14268624C2312yes—
186#14268624C2311yescharacteristic
187#14268624C2312yes—
188#14268624C2312yes—
189#14268624C2312yes—
190#14268624C2311yescharacteristic
191#14268624C2311yescharacteristic
192#14268624C2311yescharacteristic
193#14268624C2312yes—
194#14268624C2312yes—
195#14268624C2312yes—
196C4×Dic113C2311yescharacteristic
197C4×Dic113C2311yescharacteristic
198C4×Dic113C2311yescharacteristic
199C4×Dic113C2311yescharacteristic
200C4×Dic113C2311yescharacteristic
201C4×Dic113C2311yescharacteristic
202C4×Dic113C2312yes—
203C4×Dic113C2312yes—
204C4×Dic113C2312yes—
205C24×C113C2312yes—
206C2×D4×C113—24no—
207C2×D4×C113C2312yes—
208C2×D4×C113C2311yescharacteristic
209C2×D4×C113C2311yescharacteristic
210C22×C4×C113—44no—
211C22×C4×C113C2312yes—
212C22×C4×C113C2312yes—
213C22×C4×C113C2311yescharacteristic
214C22×C4×C113C2311yescharacteristic
215C22×C4×C113C2311yescharacteristic
216C22×C4×C113C2312yes—
217C22×C4×C113C2312yes—
218C22×C4×C113C2312yes—
219C4⋊C4×C113C2311yescharacteristic
220C4⋊C4×C113C2311yescharacteristic
221C4⋊C4×C113C2312yes—
222C22⋊C4×C113C2312yes—
223C22⋊C4×C113C2312yes—
224C22⋊C4×C113C2312yes—
225C22⋊C4×C113C2312yes—
226C42×C113C2311yescharacteristic
227C42×C113C2311yescharacteristic
228C42×C113C2311yescharacteristic
229C42×C113C2311yescharacteristic
230C23×C113—24no—
231C23×C113—24no—
232C23×C113—42no—
233C23×C113C2412yes—
234C23×C113C2412yes—
235C23×C113C2411yescharacteristic
236C22×D113—24no—
237C22×D113—24no—
238C22×D113—42no—
239C22×D113C2412yes—
240C22×D113C2411yescharacteristic
241C22×D113C2411yescharacteristic
242D4×C113—24no—
243D4×C113—22no—
244D4×C113#4114yescomplemented
245C2×C4×C113—22no—
246C2×C4×C113—22no—
247C2×C4×C113—22no—
248C2×C4×C113—24no—
249C2×C4×C113—24no—
250C2×C4×C113—42no—
251C2×C4×C113—42no—
252C2×C4×C113—42no—
253C2×C4×C113C2411yescharacteristic
254C2×C4×C113C2411yescharacteristic
255C2×C4×C113C2411yescharacteristic
256C2×C4×C113C2411yescharacteristic
257C2×C4×C113C2412yes—
258C2×C4×C113C2412yes—
259C2×C4×C113C2411yescharacteristic
260C2×C4×C113C2411yescharacteristic
261C22⋊D113—24no—
262C22⋊D113—24no—
263C22⋊D113—24no—
264C22⋊D113—22no—
265C22⋊D113—24no—
266C22⋊D113—24no—
267C22⋊D113—42no—
268C22⋊D113—42no—
269C22⋊D113#4114yescomplemented
270C2×Dic113—24no—
271C2×Dic113—24no—
272C2×Dic113—42no—
273C2×Dic113C2411yescharacteristic
274C2×Dic113C2412yes—
275C2×Dic113C2411yescharacteristic
276C2×Dic113C2412yes—
277C2×Dic113C2411yescharacteristic
278C2×Dic113C2411yescharacteristic
279C2×Dic113C2411yescharacteristic
280C2×Dic113C2412yes—
281C2×Dic113C2411yescharacteristic
282D452—22no—
283D452—22no—
284D452—42no—
285C4×D113—22no—
286C4×D113—22no—
287C4×D113—22no—
288C4×D113—22no—
289C4×D113—24no—
290C4×D113—22no—
291C4×D113—22no—
292C4×D113—42no—
293C4×D113—42no—
294Dic226—22no—
295Dic226—22no—
296Dic226—42no—
297C22×C113—22no—
298C22×C113—21no—
299C22×C113—22no—
300C22×C113—21no—
301C22×C113—22no—
302C22×C113—22no—
303C22×C113—22no—
304C22×C113—48no—
305C22×C113C2×#4112yes—
306C22×C113C2×#4114yes—
307C22×C113C2511yescharacteristic
308C2×D113—21no—
309C2×D113—21no—
310C2×D113—21no—
311C2×D113—21no—
312C2×D113—22no—
313C2×D113—22no—
314C2×D113—22no—
315C2×D113—21no—
316C2×D113—48no—
317C2×D113C2×#4112yes—
318C4×C113—21no—
319C4×C113—21no—
320C4×C113—21no—
321C4×C113—22no—
322C4×C113—22no—
323C4×C113—21no—
324C4×C113C2×#4112yes—
325C4×C113H(5,𝔽2)12yes—
326Dic113—21no—
327Dic113—22no—
328Dic113—21no—
329Dic113—21no—
330Dic113—22no—
331Dic113—21no—
332Dic113—22no—
333Dic113—21no—
334Dic113C2×#4112yes—
335C2×C113—24no—
336C2×C113—22no—
337C2×C113—42no—
338C2×C113C22×#4111yescharacteristic
339C2×C113C22×#4111yescharacteristic
340C2×C113C2×H(5,𝔽2)11yescharacteristic
341D113—22no—
342D113—41no—
343D113—42no—
344#3481—1131nomaximal, Sylow
345C113#348111yescharacteristic, complemented, Sylow
346#559—1131no—
347#554—1131no—
348#554—1131no—
349#553—1132no—
350#553—1131no—
351#553—1131no—
352#551—1132no—
353#551—1132no—
354#546—1131no—
355#546—1131no—
356#546—1132no—
357D42—1131no—
358#532—1131no—
359#529—1132no—
360#529—1131no—
361#529—1131no—
362#525—1132no—
363#525—1132no—
364C4×#41—1131no—
365C4×#41—1131no—
366C2×C4×D4—1132no—
367C2×C4×D4—1131no—
368C2×C4×D4D11311yescharacteristic, complemented
369C2×#41—1131no—
370C2×#41—1132no—
371C2×#41—1131no—
372C22×D4—1132no—
373C22×D4—1131no—
374C22×D4C2×D11311yescharacteristic
375C23×C4—1132no—
376C23×C4C2×D11312yescomplemented
377C4⋊Q8—1131no—
378#127—1131no—
379#126—1132no—
380#126—1132no—
381#126—1132no—
382#126—1132no—
383#125—1132no—
384#125—1131no—
385#125—1131no—
386#124—1131no—
387#124—1132no—
388#124—1132no—
389#124—1131no—
390#123—1132no—
391#123—1132no—
392#123—1132no—
393#123—1132no—
394#123—1132no—
395#123—1132no—
396#123—1132no—
397#123—1132no—
398C22⋊Q8—1132no—
399C22⋊Q8—1132no—
400C22⋊Q8—1131no—
401C22⋊Q8—1132no—
402C22⋊Q8—1131no—
403C22⋊Q8—1132no—
404C22⋊Q8—1132no—
405#121—1132no—
406#121—1131no—
407#121—1132no—
408#121—1131no—
409#121—1132no—
410#121—1132no—
411#121—1131no—
412#121—1131no—
413#121—1132no—
414#121—1132no—
415#120—1132no—
416#120—1132no—
417#120—1132no—
418#120—1132no—
419C4×Q8—1131no—
420C4×Q8—1131no—
421C4×Q8—1131no—
422C4×Q8—1131no—
423C4×D4—1131no—
424C4×D4—1131no—
425C4×D4—1131no—
426C4×D4—1132no—
427C4×D4—1132no—
428C4×D4—1132no—
429C4×D4—1132no—
430C4×D4—1132no—
431C4×D4—1132no—
432C4×D4—1132no—
433C4×D4—1132no—
434C4×D4—1132no—
435C4×D4—1131no—
436C4×D4—1131no—
437C4×D4—1131no—
438C4×D4—1131no—
439C4×D4—1132no—
440C4×D4—1132no—
441C4×D4—1131no—
442C4×D4—1131no—
443C4×D4—1131no—
444C4×D4C2×D11311yescharacteristic
445C4×D4C2×D11311yescharacteristic
446C4×D4C2×D11312yescomplemented
447C4×D4C2×D11311yescharacteristic, complemented
448C4×D4C2×D11312yescomplemented
449C4×D4C2×D11311yescharacteristic, complemented
450#117—1131no—
451#117—1132no—
452#117—1131no—
453#117—1132no—
454#117—1131no—
455#117—1131no—
456#117—1132no—
457C2×C4⋊C4—1132no—
458C2×C4⋊C4—1131no—
459C2×C4⋊C4C2×D11311yescharacteristic, complemented
460C2×C22⋊C4—1132no—
461C2×C22⋊C4—1132no—
462C2×C22⋊C4—1132no—
463C2×C22⋊C4C2×D11312yescomplemented
464C2×C42—1132no—
465C2×C42—1131no—
466C2×C42—1131no—
467C2×C42C2×D11311yescharacteristic, complemented
468C24—1132no—
469C24C22×D11312yes—
470#41—4524no—
471#41—2264no—
472#41—2264no—
473C2×Q8—1132no—
474C2×Q8—1131no—
475C2×Q8—1131no—
476C2×D4—24no—
477C2×D4—1131no—
478C2×D4—1132no—
479C2×D4—1132no—
480C2×D4—1131no—
481C2×D4—1132no—
482C2×D4—1132no—
483C2×D4—1132no—
484C2×D4—1132no—
485C2×D4—1132no—
486C2×D4—1132no—
487C2×D4—1131no—
488C2×D4—1131no—
489C2×D4—2268no—
490C2×D4—2264no—
491C2×D4C22×D11312yes—
492C2×D4C22×D11311yescharacteristic
493C2×D4C22×D11311yescharacteristic
494C22×C4—44no—
495C22×C4—1132no—
496C22×C4—1132no—
497C22×C4—1132no—
498C22×C4—1132no—
499C22×C4—1132no—
500C22×C4—1131no—
501C22×C4—1131no—
502C22×C4—1131no—
503C22×C4—1131no—
504C22×C4—1131no—
505C22×C4—1131no—
506C22×C4—1132no—
507C22×C4—4524no—
508C22×C4C22×D11311yescharacteristic
509C22×C4C22×D11311yescharacteristic
510C22×C4C22×D11312yes—
511C22×C4C22×D11311yescharacteristic
512C22×C4C22×D11312yes—
513C22×C4C22×D11312yes—
514C22×C4C22×D11312yes—
515C22×C4C22×D11312yes—
516C4⋊C4—1131no—
517C4⋊C4—1132no—
518C4⋊C4—1131no—
519C4⋊C4—1132no—
520C4⋊C4—1132no—
521C4⋊C4—1132no—
522C4⋊C4—1131no—
523C4⋊C4—1131no—
524C4⋊C4—1132no—
525C4⋊C4—1131no—
526C4⋊C4—1131no—
527C4⋊C4—1131no—
528C4⋊C4—1132no—
529C4⋊C4—1131no—
530C4⋊C4—1132no—
531C4⋊C4—1132no—
532C4⋊C4—1132no—
533C4⋊C4—1132no—
534C4⋊C4C22×D11311yescharacteristic
535C4⋊C4C22×D11311yescharacteristic
536C4⋊C4C22×D11312yes—
537C22⋊C4—1131no—
538C22⋊C4—1132no—
539C22⋊C4—1132no—
540C22⋊C4—1132no—
541C22⋊C4—1132no—
542C22⋊C4—1131no—
543C22⋊C4—1132no—
544C22⋊C4—1132no—
545C22⋊C4—1132no—
546C22⋊C4—1131no—
547C22⋊C4—1132no—
548C22⋊C4—1132no—
549C22⋊C4—1132no—
550C22⋊C4—1132no—
551C22⋊C4—1132no—
552C22⋊C4—1131no—
553C22⋊C4—1132no—
554C22⋊C4—1131no—
555C22⋊C4—1131no—
556C22⋊C4—1132no—
557C22⋊C4—1132no—
558C22⋊C4C22×D11312yes—
559C22⋊C4C22×D11312yes—
560C22⋊C4C22×D11312yes—
561C22⋊C4C22×D11312yes—
562C42—1131no—
563C42—1132no—
564C42—1131no—
565C42—1132no—
566C42—1131no—
567C42—1131no—
568C42—1131no—
569C42—1132no—
570C42—1131no—
571C42C22×D11311yescharacteristic
572C42C22×D11311yescharacteristic
573C42C22×D11311yescharacteristic
574C42C22×D11311yescharacteristic
575C23—24no—
576C23—24no—
577C23—42no—
578C23—1131no—
579C23—1132no—
580C23—1131no—
581C23—4522no—
582C23—2264no—
583C23—2264no—
584C23C23×D11312yes—
585C23C23×D11311yescharacteristic
586C23C23×D11312yes—
587Q8—4522no—
588Q8—2262no—
589Q8—2262no—
590D4—24no—
591D4—22no—
592D4—1134no—
593D4—4522no—
594D4—4522no—
595D4—4522no—
596D4—2262no—
597D4—2264no—
598D4—2264no—
599D4—2264no—
600D4—2262no—
601D4—2264no—
602D4—2264no—
603D4—2262no—
604D4#1426864714yescomplemented
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—24no—
609C2×C4—24no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—1131no—
614C2×C4—1131no—
615C2×C4—1131no—
616C2×C4—1132no—
617C2×C4—1132no—
618C2×C4—1131no—
619C2×C4—1131no—
620C2×C4—1131no—
621C2×C4—1132no—
622C2×C4—4522no—
623C2×C4—4522no—
624C2×C4—4522no—
625C2×C4—2262no—
626C2×C4—2262no—
627C2×C4—2264no—
628C2×C4—2264no—
629C2×C4—2262no—
630C2×C4—2262no—
631C2×C4—2262no—
632C2×C4—2264no—
633C2×C4—2262no—
634C2×C4C23×D11311yescharacteristic
635C2×C4C23×D11312yes—
636C2×C4C23×D11311yescharacteristic
637C2×C4C23×D11311yescharacteristic
638C2×C4C23×D11311yescharacteristic
639C2×C4C23×D11312yes—
640C2×C4C23×D11311yescharacteristic
641C2×C4C23×D11311yescharacteristic
642C22—22no—
643C22—21no—
644C22—21no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—48no—
650C22—1132no—
651C22—4528no—
652C22—2261no—
653C22—2262no—
654C22—2261no—
655C22—2262no—
656C22—2262no—
657C22—2261no—
658C22—2261no—
659C22—2261no—
660C22#41×D11312yes—
661C22C2×#1426864714yes—
662C22C24×D11311yescharacteristic
663C4—21no—
664C4—21no—
665C4—21no—
666C4—21no—
667C4—22no—
668C4—22no—
669C4—1132no—
670C4—2262no—
671C4—2261no—
672C4—2261no—
673C4—2261no—
674C4—2262no—
675C4—2261no—
676C4—2262no—
677C4—2261no—
678C4C2×#1426864712yes—
679C4#1681366712yes—
680C2—22no—
681C2—24no—
682C2—42no—
683C2—4522no—
684C2—4521no—
685C2—2262no—
686C2C2×#41×D11311yescharacteristic
687C2C22×#1426864711yescharacteristic
688C2C2×#1681366711yescharacteristic
subgroupG/H
centerC2×C4C23×D113
commutator, socle, cosocleC22×C113C25
FrattiniC22C24×D113
FittingC2×C4×D4×C113C2
hypercenterC2×C4×D4D113
hypocenterC113#3481
LCSG ▷ C22×C113 ▷ C113
UCSC1 ◁ C2×C4 ◁ C2×C4×D4

Complements

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

NH ≅ G/Ntype
1. #20299331C2semidirect
2. #20299307C2semidirect
3. #20299303C2semidirect
4. #20299298C2semidirect
5. #20299297C2semidirect
6. #20299296C2semidirect
7. #20299277C2semidirect
8. #20299274C2semidirect
9. #20299243C2semidirect
10. #20299242C2semidirect
11. #20299238C2semidirect
12. D4×C22⋊D113C2semidirect
13. #20299145C2semidirect
14. #20299132C2semidirect
15. #20299130C2semidirect
16. #20299128C2semidirect
17. #20299109C2semidirect
18. #20299107C2semidirect
19. C4×#14268647C2semidirect
20. C4×#14268646C2semidirect
21. C2×C4×C22⋊D113C2semidirect
22. C4×D4×D113C2semidirect
23. C2×C4×D4×C113C2semidirect
25. C2×#14268647C22semidirect
29. C22×C4×D113C22semidirect
30. #16813621C22semidirect
32. #16813617C22semidirect
33. #16813616C22semidirect
34. #16813615C22semidirect
35. #16813615C22semidirect
36. #16813614C22semidirect
37. #16813613C22semidirect
38. #16813612C22semidirect
39. #16813610C22semidirect
40. #16813609C22semidirect
41. #16813608C22semidirect
42. #16813608C22semidirect
43. #16813607C22semidirect
44. #16813606C22semidirect
45. #16813605C22semidirect
46. #16813605C22semidirect
47. #16813605C22semidirect
48. #16813604C22semidirect
49. #16813604C22semidirect
50. #16813603C22semidirect
51. #16813602C22semidirect
52. #16813601C22semidirect
53. #16813601C22semidirect
54. #16813601C22semidirect
55. #16813600C22semidirect
56. #16813599C22semidirect
57. #16813599C22semidirect
58. #16813597C22semidirect
60. #16813596C22semidirect
61. #16813596C22semidirect
62. #16813595C22semidirect
63. #16813595C22semidirect
65. #16813594C22semidirect
67. #16813593C22semidirect
68. #16813592C22semidirect
70. #16813591C22semidirect
72. C4×Dic226C22semidirect
73. C4×Dic226C22semidirect
74. C4×Dic226C22semidirect
75. #16813587C22semidirect
76. C4×D452C22semidirect
77. C4×D452C22semidirect
78. C4×D452C22semidirect
81. #16813584C22semidirect
85. C4×C22⋊D113C22semidirect
86. C4×C22⋊D113C22semidirect
87. C4×C22⋊D113C22semidirect
88. C4×C22⋊D113C22semidirect
89. C4×C22⋊D113C22semidirect
90. C4×C22⋊D113C22semidirect
91. C4×C22⋊D113C22semidirect
92. C4×C22⋊D113C22semidirect
93. C4×C22⋊D113C22semidirect
94. C4×C22⋊D113C22semidirect
95. #16813582C22semidirect
96. #16813582C22semidirect
97. #16813581C22semidirect
98. #16813581C22semidirect
99. #16813580C22semidirect
100. #16813579C22semidirect
101. #16813579C22semidirect
102. #16813579C22semidirect
103. #16813578C22semidirect
104. C2×#14268626C22semidirect
105. C4⋊C4×D113C22semidirect
106. C2×C22⋊Dic113C22semidirect
107. C2×#14268624C22semidirect
108. C22⋊C4×D113C22semidirect
109. C2×C4×Dic113C22semidirect
110. C42×D113C22semidirect
111. C42×D113C22semidirect
113. C23×C4×C113C22semidirect
116. C4×D4×C113C22semidirect
117. C4×D4×C113C22semidirect
118. C4×D4×C113C22semidirect
119. C4×D4×C113C22semidirect
120. C2×C4⋊C4×C113C22semidirect
121. C2×C22⋊C4×C113C22semidirect
122. C2×C42×C113C22semidirect
244. D4×C113#41semidirect
269. C22⋊D113#41semidirect
345. C113#3481semidirect
368. C2×C4×D4D113semidirect
376. C23×C4C2×D113semidirect
446. C4×D4C2×D113semidirect
447. C4×D4C2×D113semidirect
448. C4×D4C2×D113semidirect
449. C4×D4C2×D113semidirect
459. C2×C4⋊C4C2×D113semidirect
463. C2×C22⋊C4C2×D113semidirect
467. C2×C42C2×D113semidirect
604. D4#14268647semidirect

Maximal subgroups

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

subgroupindex
#202993312
#202993072
#202993032
#202992982
#202992972
#202992962
#202992772
#202992742
#202992432
#202992422
#202992382
D4×C22⋊D1132
#202991452
#202991322
#202991302
#202991282
#202991092
#202991072
C4×#142686472
C4×#142686462
C2×C4×C22⋊D1132
C4×D4×D1132
C2×C4×D4×C1132
#3481113