Finite Group Databasebeta

← #34058295

Subgroups — #34058295

Order 19072.

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#23750358C211yesmaximal, characteristic, complemented
2#23750334C211yesmaximal, characteristic, complemented
3#23750330C211yesmaximal, characteristic, complemented
4#23750325C211yesmaximal, characteristic, complemented
5#23750324C212yesmaximal, complemented
6#23750323C211yesmaximal, characteristic, complemented
7#23750304C212yesmaximal, complemented
8#23750301C212yesmaximal, complemented
9#23750270C211yesmaximal, characteristic, complemented
10#23750269C211yesmaximal, characteristic, complemented
11#23750265C212yesmaximal, complemented
12D4×C22⋊D149C211yesmaximal, characteristic, complemented
13#23750172C211yesmaximal, characteristic, complemented
14#23750159C211yesmaximal, characteristic, complemented
15#23750157C211yesmaximal, characteristic, complemented
16#23750155C212yesmaximal, complemented
17#23750136C212yesmaximal, complemented
18#23750134C212yesmaximal, complemented
19C4×#14558736C211yesmaximal, characteristic, complemented
20C4×#14558735C211yesmaximal, characteristic, complemented
21C2×C4×C22⋊D149C212yesmaximal, complemented
22C4×D4×D149C211yesmaximal, characteristic, complemented
23C2×C4×D4×C149C211yesmaximal, characteristic, complemented
24C2×#14558736C2211yescharacteristic
25C2×#14558736C2212yescomplemented
26C2×#14558735C2211yescharacteristic
27C22×C22⋊D149C2212yes—
28C2×D4×D149C2211yescharacteristic
29C22×C4×D149C2212yescomplemented
30#18011910C2211yescharacteristic, complemented
31#18011907C2211yescharacteristic
32#18011906C2212yescomplemented
33#18011905C2212yescomplemented
34#18011904C2212yescomplemented
35#18011904C2212yescomplemented
36#18011903C2211yescharacteristic, complemented
37#18011902C2211yescharacteristic, complemented
38#18011901C2212yescomplemented
39#18011899C2211yescharacteristic, complemented
40#18011898C2211yescharacteristic, complemented
41#18011897C2212yescomplemented
42#18011897C2212yescomplemented
43#18011896C2212yescomplemented
44#18011895C2212yescomplemented
45#18011894C2212yescomplemented
46#18011894C2212yescomplemented
47#18011894C2212yescomplemented
48#18011893C2212yescomplemented
49#18011893C2212yescomplemented
50#18011892C2212yescomplemented
51#18011891C2211yescharacteristic, complemented
52#18011890C2211yescharacteristic, complemented
53#18011890C2212yescomplemented
54#18011890C2212yescomplemented
55#18011889C2212yescomplemented
56#18011888C2212yescomplemented
57#18011888C2212yescomplemented
58#18011886C2211yescharacteristic, complemented
59#18011885C2211yescharacteristic
60#18011885C2212yescomplemented
61#18011885C2212yescomplemented
62#18011884C2212yescomplemented
63#18011884C2212yescomplemented
64#18011883C2212yes—
65#18011883C2212yescomplemented
66#18011882C2211yescharacteristic
67#18011882C2211yescharacteristic, complemented
68#18011881C2212yescomplemented
69#18011880C2212yes—
70#18011880C2212yescomplemented
71#18011879C2212yes—
72C4×Dic298C2211yescharacteristic, complemented
73C4×Dic298C2211yescharacteristic, complemented
74C4×Dic298C2211yescharacteristic, complemented
75#18011876C2211yescharacteristic, complemented
76C4×D596C2211yescharacteristic, complemented
77C4×D596C2211yescharacteristic, complemented
78C4×D596C2211yescharacteristic, complemented
79D4×Dic149C2211yescharacteristic
80D4×Dic149C2211yescharacteristic
81#18011873C2211yescharacteristic, complemented
82C4×C22⋊D149C2211yescharacteristic
83C4×C22⋊D149C2212yes—
84C4×C22⋊D149C2211yescharacteristic
85C4×C22⋊D149C2212yescomplemented
86C4×C22⋊D149C2212yescomplemented
87C4×C22⋊D149C2212yescomplemented
88C4×C22⋊D149C2212yescomplemented
89C4×C22⋊D149C2211yescharacteristic, complemented
90C4×C22⋊D149C2212yescomplemented
91C4×C22⋊D149C2212yescomplemented
92C4×C22⋊D149C2212yescomplemented
93C4×C22⋊D149C2212yescomplemented
94C4×C22⋊D149C2211yescharacteristic, complemented
95#18011871C2212yescomplemented
96#18011871C2212yescomplemented
97#18011870C2212yescomplemented
98#18011870C2211yescharacteristic, complemented
99#18011869C2211yescharacteristic, complemented
100#18011868C2212yescomplemented
101#18011868C2211yescharacteristic, complemented
102#18011868C2211yescharacteristic, complemented
103#18011867C2212yescomplemented
104C2×#14558715C2212yescomplemented
105C4⋊C4×D149C2211yescharacteristic, complemented
106C2×C22⋊Dic149C2212yescomplemented
107C2×#14558713C2212yescomplemented
108C22⋊C4×D149C2212yescomplemented
109C2×C4×Dic149C2212yescomplemented
110C42×D149C2211yescharacteristic, complemented
111C42×D149C2211yescharacteristic, complemented
112C22×D4×C149C2211yescharacteristic
113C23×C4×C149C2212yescomplemented
114C4×D4×C149C2211yescharacteristic
115C4×D4×C149C2211yescharacteristic
116C4×D4×C149C2212yescomplemented
117C4×D4×C149C2211yescharacteristic, complemented
118C4×D4×C149C2212yescomplemented
119C4×D4×C149C2211yescharacteristic, complemented
120C2×C4⋊C4×C149C2211yescharacteristic, complemented
121C2×C22⋊C4×C149C2212yescomplemented
122C2×C42×C149C2211yescharacteristic, complemented
123C23×D149C2312yes—
124#14558736—24no—
125#14558736—44no—
126#14558735—24no—
127C2×Dic298C2311yescharacteristic
128C2×Dic298C2311yescharacteristic
129C2×Dic298C2312yes—
130C2×D596C2311yescharacteristic
131C2×D596C2311yescharacteristic
132C2×D596C2312yes—
133C2×C22⋊D149—28no—
134C2×C22⋊D149C2312yes—
135C2×C22⋊D149C2312yes—
136C2×C22⋊D149C2312yes—
137C2×C22⋊D149C2312yes—
138C2×C22⋊D149C2312yes—
139C2×C22⋊D149C2311yescharacteristic
140C2×C22⋊D149C2312yes—
141C2×C22⋊D149C2312yes—
142C2×C22⋊D149C2311yescharacteristic
143D4×D149—24no—
144C22×Dic149C2312yes—
145C22×Dic149C2312yes—
146C22×Dic149C2312yes—
147C2×C4×D149—44no—
148C2×C4×D149C2311yescharacteristic
149C2×C4×D149C2312yes—
150C2×C4×D149C2311yescharacteristic
151C2×C4×D149C2311yescharacteristic
152C2×C4×D149C2311yescharacteristic
153C2×C4×D149C2311yescharacteristic
154C2×C4×D149C2311yescharacteristic
155C2×C4×D149C2312yes—
156C2×C4×D149C2312yes—
157C4⋊Dic149C2311yescharacteristic
158C4⋊Dic149C2312yes—
159C4⋊Dic149C2312yes—
160C4⋊Dic149C2311yescharacteristic
161C4⋊Dic149C2311yescharacteristic
162C4⋊Dic149C2311yescharacteristic
163#14558715C2312yes—
164#14558715C2312yes—
165#14558715C2312yes—
166#14558715C2312yes—
167#14558715C2312yes—
168#14558715C2312yes—
169#14558715C2311yescharacteristic
170#14558715C2312yes—
171#14558715C2311yescharacteristic
172#14558715C2312yes—
173#14558715C2311yescharacteristic
174#14558715C2311yescharacteristic
175C22⋊Dic149C2312yes—
176C22⋊Dic149C2312yes—
177C22⋊Dic149C2312yes—
178C22⋊Dic149C2312yes—
179C22⋊Dic149C2311yescharacteristic
180C22⋊Dic149C2312yes—
181C22⋊Dic149C2312yes—
182C22⋊Dic149C2311yescharacteristic
183C22⋊Dic149C2312yes—
184#14558713C2312yes—
185#14558713C2312yes—
186#14558713C2312yes—
187#14558713C2312yes—
188#14558713C2312yes—
189#14558713C2311yescharacteristic
190#14558713C2312yes—
191#14558713C2311yescharacteristic
192#14558713C2311yescharacteristic
193#14558713C2311yescharacteristic
194#14558713C2312yes—
195#14558713C2312yes—
196C4×Dic149C2311yescharacteristic
197C4×Dic149C2312yes—
198C4×Dic149C2311yescharacteristic
199C4×Dic149C2311yescharacteristic
200C4×Dic149C2311yescharacteristic
201C4×Dic149C2311yescharacteristic
202C4×Dic149C2311yescharacteristic
203C4×Dic149C2312yes—
204C4×Dic149C2312yes—
205C24×C149C2312yes—
206C2×D4×C149—24no—
207C2×D4×C149C2311yescharacteristic
208C2×D4×C149C2312yes—
209C2×D4×C149C2311yescharacteristic
210C22×C4×C149—44no—
211C22×C4×C149C2312yes—
212C22×C4×C149C2311yescharacteristic
213C22×C4×C149C2312yes—
214C22×C4×C149C2311yescharacteristic
215C22×C4×C149C2311yescharacteristic
216C22×C4×C149C2312yes—
217C22×C4×C149C2312yes—
218C22×C4×C149C2312yes—
219C4⋊C4×C149C2312yes—
220C4⋊C4×C149C2311yescharacteristic
221C4⋊C4×C149C2311yescharacteristic
222C22⋊C4×C149C2312yes—
223C22⋊C4×C149C2312yes—
224C22⋊C4×C149C2312yes—
225C22⋊C4×C149C2312yes—
226C42×C149C2311yescharacteristic
227C42×C149C2311yescharacteristic
228C42×C149C2311yescharacteristic
229C42×C149C2311yescharacteristic
230C22×D149—24no—
231C22×D149—24no—
232C22×D149—42no—
233C22×D149C2411yescharacteristic
234C22×D149C2412yes—
235C22×D149C2411yescharacteristic
236Dic298—22no—
237Dic298—22no—
238Dic298—42no—
239D596—22no—
240D596—22no—
241D596—42no—
242C22⋊D149—24no—
243C22⋊D149—24no—
244C22⋊D149—24no—
245C22⋊D149—22no—
246C22⋊D149—24no—
247C22⋊D149—24no—
248C22⋊D149—42no—
249C22⋊D149—42no—
250C22⋊D149#4114yescomplemented
251C2×Dic149—24no—
252C2×Dic149—24no—
253C2×Dic149—42no—
254C2×Dic149C2411yescharacteristic
255C2×Dic149C2412yes—
256C2×Dic149C2411yescharacteristic
257C2×Dic149C2411yescharacteristic
258C2×Dic149C2411yescharacteristic
259C2×Dic149C2411yescharacteristic
260C2×Dic149C2412yes—
261C2×Dic149C2412yes—
262C2×Dic149C2411yescharacteristic
263C4×D149—22no—
264C4×D149—22no—
265C4×D149—22no—
266C4×D149—22no—
267C4×D149—24no—
268C4×D149—22no—
269C4×D149—22no—
270C4×D149—42no—
271C4×D149—42no—
272C23×C149—24no—
273C23×C149—24no—
274C23×C149—42no—
275C23×C149C2412yes—
276C23×C149C2412yes—
277C23×C149C2411yescharacteristic
278D4×C149—24no—
279D4×C149—22no—
280D4×C149#4114yescomplemented
281C2×C4×C149—22no—
282C2×C4×C149—22no—
283C2×C4×C149—24no—
284C2×C4×C149—24no—
285C2×C4×C149—22no—
286C2×C4×C149—42no—
287C2×C4×C149—42no—
288C2×C4×C149—42no—
289C2×C4×C149C2411yescharacteristic
290C2×C4×C149C2412yes—
291C2×C4×C149C2411yescharacteristic
292C2×C4×C149C2412yes—
293C2×C4×C149C2411yescharacteristic
294C2×C4×C149C2411yescharacteristic
295C2×C4×C149C2411yescharacteristic
296C2×C4×C149C2411yescharacteristic
297C22×C149—21no—
298C22×C149—22no—
299C22×C149—21no—
300C22×C149—22no—
301C22×C149—22no—
302C22×C149—22no—
303C22×C149—22no—
304C22×C149—48no—
305C22×C149C2×#4112yes—
306C22×C149C2×#4114yes—
307C22×C149C2511yescharacteristic
308C2×D149—21no—
309C2×D149—21no—
310C2×D149—21no—
311C2×D149—21no—
312C2×D149—22no—
313C2×D149—22no—
314C2×D149—22no—
315C2×D149—21no—
316C2×D149—48no—
317C2×D149C2×#4112yes—
318C4×C149—21no—
319C4×C149—21no—
320C4×C149—21no—
321C4×C149—21no—
322C4×C149—22no—
323C4×C149—22no—
324C4×C149C2×#4112yes—
325C4×C149H(5,𝔽2)12yes—
326Dic149—21no—
327Dic149—21no—
328Dic149—21no—
329Dic149—22no—
330Dic149—22no—
331Dic149—21no—
332Dic149—22no—
333Dic149—21no—
334Dic149C2×#4112yes—
335C2×C149—24no—
336C2×C149—22no—
337C2×C149—42no—
338C2×C149C22×#4111yescharacteristic
339C2×C149C22×#4111yescharacteristic
340C2×C149C2×H(5,𝔽2)11yescharacteristic
341D149—22no—
342D149—41no—
343D149—42no—
344C149#348111yescharacteristic, complemented, Sylow
345#3481—1491nomaximal, Sylow
346#559—1491no—
347#554—1491no—
348#554—1491no—
349#553—1492no—
350#553—1491no—
351#553—1491no—
352#551—1492no—
353#551—1492no—
354#546—1491no—
355#546—1491no—
356#546—1492no—
357D42—1491no—
358#532—1491no—
359#529—1492no—
360#529—1491no—
361#529—1491no—
362#525—1492no—
363#525—1492no—
364C4×#41—1491no—
365C4×#41—1491no—
366C2×C4×D4—1492no—
367C2×C4×D4—1491no—
368C2×C4×D4D14911yescharacteristic, complemented
369C2×#41—1491no—
370C2×#41—1491no—
371C2×#41—1492no—
372C22×D4—1492no—
373C22×D4—1491no—
374C22×D4C2×D14911yescharacteristic
375C23×C4—1492no—
376C23×C4C2×D14912yescomplemented
377C4⋊Q8—1491no—
378#127—1491no—
379#126—1492no—
380#126—1492no—
381#126—1492no—
382#126—1492no—
383#125—1492no—
384#125—1491no—
385#125—1491no—
386#124—1491no—
387#124—1492no—
388#124—1492no—
389#124—1491no—
390#123—1492no—
391#123—1492no—
392#123—1492no—
393#123—1492no—
394#123—1492no—
395#123—1492no—
396#123—1492no—
397#123—1492no—
398C22⋊Q8—1492no—
399C22⋊Q8—1492no—
400C22⋊Q8—1491no—
401C22⋊Q8—1492no—
402C22⋊Q8—1491no—
403C22⋊Q8—1492no—
404C22⋊Q8—1492no—
405#121—1492no—
406#121—1491no—
407#121—1492no—
408#121—1491no—
409#121—1492no—
410#121—1492no—
411#121—1491no—
412#121—1491no—
413#121—1492no—
414#121—1492no—
415#120—1492no—
416#120—1492no—
417#120—1492no—
418#120—1492no—
419C4×Q8—1491no—
420C4×Q8—1491no—
421C4×Q8—1491no—
422C4×Q8—1491no—
423C4×D4—1491no—
424C4×D4—1491no—
425C4×D4—1491no—
426C4×D4—1492no—
427C4×D4—1492no—
428C4×D4—1492no—
429C4×D4—1492no—
430C4×D4—1492no—
431C4×D4—1492no—
432C4×D4—1492no—
433C4×D4—1492no—
434C4×D4—1492no—
435C4×D4—1491no—
436C4×D4—1491no—
437C4×D4—1491no—
438C4×D4—1491no—
439C4×D4—1492no—
440C4×D4—1492no—
441C4×D4—1491no—
442C4×D4—1491no—
443C4×D4—1491no—
444C4×D4C2×D14911yescharacteristic
445C4×D4C2×D14911yescharacteristic
446C4×D4C2×D14912yescomplemented
447C4×D4C2×D14911yescharacteristic, complemented
448C4×D4C2×D14912yescomplemented
449C4×D4C2×D14911yescharacteristic, complemented
450#117—1491no—
451#117—1492no—
452#117—1491no—
453#117—1492no—
454#117—1491no—
455#117—1491no—
456#117—1492no—
457C2×C4⋊C4—1492no—
458C2×C4⋊C4—1491no—
459C2×C4⋊C4C2×D14911yescharacteristic, complemented
460C2×C22⋊C4—1492no—
461C2×C22⋊C4—1492no—
462C2×C22⋊C4—1492no—
463C2×C22⋊C4C2×D14912yescomplemented
464C2×C42—1492no—
465C2×C42—1491no—
466C2×C42—1491no—
467C2×C42C2×D14911yescharacteristic, complemented
468C24—1492no—
469C24C22×D14912yes—
470#41—2984no—
471#41—2984no—
472#41—5964no—
473C2×Q8—1491no—
474C2×Q8—1491no—
475C2×Q8—1492no—
476C2×D4—24no—
477C2×D4—2988no—
478C2×D4—2984no—
479C2×D4—1491no—
480C2×D4—1492no—
481C2×D4—1492no—
482C2×D4—1492no—
483C2×D4—1492no—
484C2×D4—1492no—
485C2×D4—1492no—
486C2×D4—1492no—
487C2×D4—1491no—
488C2×D4—1491no—
489C2×D4—1491no—
490C2×D4—1492no—
491C2×D4C22×D14912yes—
492C2×D4C22×D14911yescharacteristic
493C2×D4C22×D14911yescharacteristic
494C22×C4—44no—
495C22×C4—5964no—
496C22×C4—1492no—
497C22×C4—1492no—
498C22×C4—1491no—
499C22×C4—1491no—
500C22×C4—1491no—
501C22×C4—1491no—
502C22×C4—1491no—
503C22×C4—1491no—
504C22×C4—1492no—
505C22×C4—1492no—
506C22×C4—1492no—
507C22×C4—1492no—
508C22×C4C22×D14911yescharacteristic
509C22×C4C22×D14911yescharacteristic
510C22×C4C22×D14912yes—
511C22×C4C22×D14911yescharacteristic
512C22×C4C22×D14912yes—
513C22×C4C22×D14912yes—
514C22×C4C22×D14912yes—
515C22×C4C22×D14912yes—
516C4⋊C4—1491no—
517C4⋊C4—1492no—
518C4⋊C4—1491no—
519C4⋊C4—1492no—
520C4⋊C4—1492no—
521C4⋊C4—1492no—
522C4⋊C4—1491no—
523C4⋊C4—1491no—
524C4⋊C4—1492no—
525C4⋊C4—1491no—
526C4⋊C4—1491no—
527C4⋊C4—1491no—
528C4⋊C4—1492no—
529C4⋊C4—1491no—
530C4⋊C4—1492no—
531C4⋊C4—1492no—
532C4⋊C4—1492no—
533C4⋊C4—1492no—
534C4⋊C4C22×D14911yescharacteristic
535C4⋊C4C22×D14911yescharacteristic
536C4⋊C4C22×D14912yes—
537C22⋊C4—1491no—
538C22⋊C4—1492no—
539C22⋊C4—1492no—
540C22⋊C4—1492no—
541C22⋊C4—1492no—
542C22⋊C4—1491no—
543C22⋊C4—1492no—
544C22⋊C4—1492no—
545C22⋊C4—1492no—
546C22⋊C4—1491no—
547C22⋊C4—1492no—
548C22⋊C4—1492no—
549C22⋊C4—1492no—
550C22⋊C4—1492no—
551C22⋊C4—1492no—
552C22⋊C4—1491no—
553C22⋊C4—1492no—
554C22⋊C4—1491no—
555C22⋊C4—1491no—
556C22⋊C4—1492no—
557C22⋊C4—1492no—
558C22⋊C4C22×D14912yes—
559C22⋊C4C22×D14912yes—
560C22⋊C4C22×D14912yes—
561C22⋊C4C22×D14912yes—
562C42—1491no—
563C42—1492no—
564C42—1491no—
565C42—1491no—
566C42—1492no—
567C42—1491no—
568C42—1491no—
569C42—1492no—
570C42—1491no—
571C42C22×D14911yescharacteristic
572C42C22×D14911yescharacteristic
573C42C22×D14911yescharacteristic
574C42C22×D14911yescharacteristic
575C23—24no—
576C23—24no—
577C23—42no—
578C23—2984no—
579C23—2984no—
580C23—5962no—
581C23—1492no—
582C23—1491no—
583C23—1491no—
584C23C23×D14912yes—
585C23C23×D14911yescharacteristic
586C23C23×D14912yes—
587Q8—2982no—
588Q8—2982no—
589Q8—5962no—
590D4—24no—
591D4—22no—
592D4—2982no—
593D4—2984no—
594D4—2984no—
595D4—2982no—
596D4—2984no—
597D4—2984no—
598D4—2984no—
599D4—2982no—
600D4—5962no—
601D4—5962no—
602D4—5962no—
603D4—1494no—
604D4#1455873614yescomplemented
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—2982no—
614C2×C4—2982no—
615C2×C4—2984no—
616C2×C4—2984no—
617C2×C4—2982no—
618C2×C4—2982no—
619C2×C4—2982no—
620C2×C4—2984no—
621C2×C4—2982no—
622C2×C4—5962no—
623C2×C4—5962no—
624C2×C4—5962no—
625C2×C4—1491no—
626C2×C4—1491no—
627C2×C4—1492no—
628C2×C4—1492no—
629C2×C4—1491no—
630C2×C4—1491no—
631C2×C4—1491no—
632C2×C4—1492no—
633C2×C4—1491no—
634C2×C4C23×D14911yescharacteristic
635C2×C4C23×D14912yes—
636C2×C4C23×D14911yescharacteristic
637C2×C4C23×D14911yescharacteristic
638C2×C4C23×D14911yescharacteristic
639C2×C4C23×D14912yes—
640C2×C4C23×D14911yescharacteristic
641C2×C4C23×D14911yescharacteristic
642C22—22no—
643C22—21no—
644C22—21no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—48no—
650C22—2981no—
651C22—2981no—
652C22—2981no—
653C22—2982no—
654C22—2981no—
655C22—2982no—
656C22—2982no—
657C22—2981no—
658C22—5968no—
659C22—1492no—
660C22#41×D14912yes—
661C22C2×#1455873614yes—
662C22C24×D14911yescharacteristic
663C4—21no—
664C4—21no—
665C4—21no—
666C4—21no—
667C4—22no—
668C4—22no—
669C4—2982no—
670C4—2981no—
671C4—2981no—
672C4—2981no—
673C4—2982no—
674C4—2981no—
675C4—2982no—
676C4—2981no—
677C4—1492no—
678C4C2×#1455873612yes—
679C4#1801195612yes—
680C2—22no—
681C2—24no—
682C2—42no—
683C2—2982no—
684C2—5962no—
685C2—5961no—
686C2C2×#41×D14911yescharacteristic
687C2C22×#1455873611yescharacteristic
688C2C2×#1801195611yescharacteristic
subgroupG/H
centerC2×C4C23×D149
commutator, socle, cosocleC22×C149C25
FrattiniC22C24×D149
FittingC2×C4×D4×C149C2
hypercenterC2×C4×D4D149
hypocenterC149#3481
LCSG ▷ C22×C149 ▷ C149
UCSC1 ◁ C2×C4 ◁ C2×C4×D4

Complements

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

NH ≅ G/Ntype
1. #23750358C2semidirect
2. #23750334C2semidirect
3. #23750330C2semidirect
4. #23750325C2semidirect
5. #23750324C2semidirect
6. #23750323C2semidirect
7. #23750304C2semidirect
8. #23750301C2semidirect
9. #23750270C2semidirect
10. #23750269C2semidirect
11. #23750265C2semidirect
12. D4×C22⋊D149C2semidirect
13. #23750172C2semidirect
14. #23750159C2semidirect
15. #23750157C2semidirect
16. #23750155C2semidirect
17. #23750136C2semidirect
18. #23750134C2semidirect
19. C4×#14558736C2semidirect
20. C4×#14558735C2semidirect
21. C2×C4×C22⋊D149C2semidirect
22. C4×D4×D149C2semidirect
23. C2×C4×D4×C149C2semidirect
25. C2×#14558736C22semidirect
29. C22×C4×D149C22semidirect
30. #18011910C22semidirect
32. #18011906C22semidirect
33. #18011905C22semidirect
34. #18011904C22semidirect
35. #18011904C22semidirect
36. #18011903C22semidirect
37. #18011902C22semidirect
38. #18011901C22semidirect
39. #18011899C22semidirect
40. #18011898C22semidirect
41. #18011897C22semidirect
42. #18011897C22semidirect
43. #18011896C22semidirect
44. #18011895C22semidirect
45. #18011894C22semidirect
46. #18011894C22semidirect
47. #18011894C22semidirect
48. #18011893C22semidirect
49. #18011893C22semidirect
50. #18011892C22semidirect
51. #18011891C22semidirect
52. #18011890C22semidirect
53. #18011890C22semidirect
54. #18011890C22semidirect
55. #18011889C22semidirect
56. #18011888C22semidirect
57. #18011888C22semidirect
58. #18011886C22semidirect
60. #18011885C22semidirect
61. #18011885C22semidirect
62. #18011884C22semidirect
63. #18011884C22semidirect
65. #18011883C22semidirect
67. #18011882C22semidirect
68. #18011881C22semidirect
70. #18011880C22semidirect
72. C4×Dic298C22semidirect
73. C4×Dic298C22semidirect
74. C4×Dic298C22semidirect
75. #18011876C22semidirect
76. C4×D596C22semidirect
77. C4×D596C22semidirect
78. C4×D596C22semidirect
81. #18011873C22semidirect
85. C4×C22⋊D149C22semidirect
86. C4×C22⋊D149C22semidirect
87. C4×C22⋊D149C22semidirect
88. C4×C22⋊D149C22semidirect
89. C4×C22⋊D149C22semidirect
90. C4×C22⋊D149C22semidirect
91. C4×C22⋊D149C22semidirect
92. C4×C22⋊D149C22semidirect
93. C4×C22⋊D149C22semidirect
94. C4×C22⋊D149C22semidirect
95. #18011871C22semidirect
96. #18011871C22semidirect
97. #18011870C22semidirect
98. #18011870C22semidirect
99. #18011869C22semidirect
100. #18011868C22semidirect
101. #18011868C22semidirect
102. #18011868C22semidirect
103. #18011867C22semidirect
104. C2×#14558715C22semidirect
105. C4⋊C4×D149C22semidirect
106. C2×C22⋊Dic149C22semidirect
107. C2×#14558713C22semidirect
108. C22⋊C4×D149C22semidirect
109. C2×C4×Dic149C22semidirect
110. C42×D149C22semidirect
111. C42×D149C22semidirect
113. C23×C4×C149C22semidirect
116. C4×D4×C149C22semidirect
117. C4×D4×C149C22semidirect
118. C4×D4×C149C22semidirect
119. C4×D4×C149C22semidirect
120. C2×C4⋊C4×C149C22semidirect
121. C2×C22⋊C4×C149C22semidirect
122. C2×C42×C149C22semidirect
250. C22⋊D149#41semidirect
280. D4×C149#41semidirect
344. C149#3481semidirect
368. C2×C4×D4D149semidirect
376. C23×C4C2×D149semidirect
446. C4×D4C2×D149semidirect
447. C4×D4C2×D149semidirect
448. C4×D4C2×D149semidirect
449. C4×D4C2×D149semidirect
459. C2×C4⋊C4C2×D149semidirect
463. C2×C22⋊C4C2×D149semidirect
467. C2×C42C2×D149semidirect
604. D4#14558736semidirect

Maximal subgroups

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

subgroupindex
#237503582
#237503342
#237503302
#237503252
#237503242
#237503232
#237503042
#237503012
#237502702
#237502692
#237502652
D4×C22⋊D1492
#237501722
#237501592
#237501572
#237501552
#237501362
#237501342
C4×#145587362
C4×#145587352
C2×C4×C22⋊D1492
C4×D4×D1492
C2×C4×D4×C1492
#3481149