Finite Group Databasebeta

← #26034584

Subgroups — #26034584

Order 11392.

1260 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19152338C212yesmaximal, complemented
2#19152336C212yesmaximal, complemented
3#19152330C211yesmaximal, characteristic, complemented
4#19152269C211yesmaximal, characteristic, complemented
5#19152267C211yesmaximal, characteristic, complemented
6#19152239C211yesmaximal, characteristic, complemented
7#19152238C212yesmaximal, complemented
8D4×D356C211yesmaximal, characteristic, complemented
9#19152232C211yesmaximal, characteristic, complemented
10D4×C22⋊D89C211yesmaximal, characteristic, complemented
11#19152230C212yesmaximal, complemented
12#19152201C211yesmaximal, characteristic, complemented
13#19152200C212yesmaximal, complemented
14#19152199C211yesmaximal, characteristic, complemented
15#19152166C211yesmaximal, characteristic, complemented
16#19152164C212yesmaximal, complemented
17#19152162C211yesmaximal, characteristic, complemented
18#19152160C212yesmaximal, complemented
19#19152158C212yesmaximal, complemented
20C2×#15668008C211yesmaximal, characteristic, complemented
21#19152134C211yesmaximal, characteristic, complemented
22#19152128C211yesmaximal, characteristic, complemented
23#546×C89C211yesmaximal, characteristic, complemented
24C2×#13083575C2211yescharacteristic, complemented
25C2×#13083574C2212yescomplemented
26C22×D356C2211yescharacteristic, complemented
27C22×D356C2211yescharacteristic, complemented
28C22×C22⋊D89C2212yescomplemented
29C22×C22⋊D89C2212yescomplemented
30C22×C22⋊D89C2212yescomplemented
31C2×D4×D89C2212yescomplemented
32C2×D4×D89C2212yescomplemented
33C2×D4×D89C2211yescharacteristic, complemented
34#15668009C2211yescharacteristic, complemented
35#15668008C2211yescharacteristic
36#15668008C2211yescharacteristic, complemented
37#15668008C2212yescomplemented
38#15668008C2211yescharacteristic, complemented
39#15668008C2211yescharacteristic, complemented
40#15668008C2212yescomplemented
41#15668008C2211yescharacteristic, complemented
42#15668008C2212yescomplemented
43#15668007C2211yescharacteristic, complemented
44#15668007C2212yescomplemented
45#15668005C2211yescharacteristic, complemented
46#15668003C2211yescharacteristic, complemented
47#15668002C2211yescharacteristic, complemented
48#15668001C2211yescharacteristic, complemented
49#15668001C2211yescharacteristic, complemented
50#15667998C2211yescharacteristic, complemented
51#15667998C2212yescomplemented
52#15667997C2212yescomplemented
53#15667996C2211yescharacteristic, complemented
54#15667996C2212yescomplemented
55#15667996C2212yescomplemented
56#15667996C2212yescomplemented
57#15667995C2212yescomplemented
58#15667994C2212yescomplemented
59#15667994C2212yescomplemented
60#15667994C2212yescomplemented
61#15667993C2211yescharacteristic, complemented
62#15667989C2211yescharacteristic, complemented
63#15667987C2212yescomplemented
64#15667987C2211yescharacteristic, complemented
65#15667987C2212yescomplemented
66#15667986C2211yescharacteristic
67#15667986C2212yescomplemented
68#15667986C2212yescomplemented
69#15667986C2212yescomplemented
70#15667986C2212yescomplemented
71#15667986C2212yescomplemented
72#15667986C2211yescharacteristic, complemented
73#15667985C2212yescomplemented
74#15667985C2212yescomplemented
75#15667985C2212yescomplemented
76#15667985C2212yescomplemented
77#15667985C2212yescomplemented
78#15667985C2212yescomplemented
79#15667984C2211yescharacteristic
80#15667984C2212yescomplemented
81#15667984C2212yescomplemented
82#15667983C2212yescomplemented
83#15667983C2212yescomplemented
84#15667983C2211yescharacteristic, complemented
85#15667982C2212yescomplemented
86#15667982C2212yescomplemented
87#15667982C2212yescomplemented
88#15667982C2212yescomplemented
89#15667982C2212yescomplemented
90#15667982C2212yescomplemented
91#15667981C2212yescomplemented
92#15667980C2212yescomplemented
93#15667980C2212yescomplemented
94#15667980C2212yescomplemented
95#15667980C2212yescomplemented
96Q8×Dic89C2211yescharacteristic, complemented
97C4×Dic178C2211yescharacteristic, complemented
98C4×D356C2211yescharacteristic, complemented
99D4×Dic89C2211yescharacteristic, complemented
100#15667974C2211yescharacteristic, complemented
101#15667974C2211yescharacteristic, complemented
102C4×C22⋊D89C2211yescharacteristic, complemented
103C4×C22⋊D89C2211yescharacteristic, complemented
104C4×C22⋊D89C2212yescomplemented
105#15667972C2212yescomplemented
106#15667972C2212yescomplemented
107#15667971C2211yescharacteristic, complemented
108#15667970C2212yescomplemented
109#15667969C2211yescharacteristic, complemented
110C22⋊C4×D89C2212yescomplemented
111C2×C4×Dic89C2211yescharacteristic, complemented
112C2×#41×C89C2211yescharacteristic, complemented
113C22×D4×C89C2211yescharacteristic, complemented
114#124×C89C2211yescharacteristic, complemented
115#123×C89C2212yescomplemented
116C22⋊Q8×C89C2211yescharacteristic, complemented
117#121×C89C2212yescomplemented
118#121×C89C2211yescharacteristic, complemented
119#120×C89C2212yescomplemented
120C4×D4×C89C2211yescharacteristic, complemented
121C4×D4×C89C2211yescharacteristic, complemented
122C2×C22⋊C4×C89C2212yescomplemented
123C23×D89C2312yes—
124C23×D89C2312yes—
125C23×D89C2312yes—
126#13083575—42no—
127#13083574—44no—
128C2×Dic178C2311yescharacteristic
129C2×D356—42no—
130C2×D356—42no—
131C2×D356C2311yescharacteristic
132C2×D356C2311yescharacteristic
133C2×D356C2311yescharacteristic
134C2×D356C2312yes—
135C2×D356C2312yes—
136C2×D356C2312yes—
137C2×D356C2312yes—
138C2×D356C2312yes—
139C2×D356C2312yes—
140C2×C22⋊D89—44no—
141C2×C22⋊D89—44no—
142C2×C22⋊D89—44no—
143C2×C22⋊D89C2312yes—
144C2×C22⋊D89C2312yes—
145C2×C22⋊D89C2311yescharacteristic
146C2×C22⋊D89C2311yescharacteristic
147C2×C22⋊D89C2312yes—
148C2×C22⋊D89C2312yes—
149C2×C22⋊D89C2312yes—
150C2×C22⋊D89C2312yes—
151C2×C22⋊D89C2312yes—
152C2×C22⋊D89C2312yes—
153C2×C22⋊D89C2312yes—
154C2×C22⋊D89C2312yes—
155C2×C22⋊D89C2312yes—
156C2×C22⋊D89C2312yes—
157C2×C22⋊D89C2312yes—
158C2×C22⋊D89C2312yes—
159D4×D89—42no—
160D4×D89—44no—
161D4×D89—44no—
162C22×Dic89C2311yescharacteristic
163C22×Dic89C2311yescharacteristic
164C22×Dic89C2312yes—
165C2×C4×D89C2311yescharacteristic
166C2×C4×D89C2312yes—
167C2×C4×D89C2312yes—
168C2×C4×D89C2312yes—
169C2×C4×D89C2312yes—
170C4⋊Dic89C2312yes—
171C4⋊Dic89C2311yescharacteristic
172C4⋊Dic89C2311yescharacteristic
173C4⋊Dic89C2311yescharacteristic
174C4⋊Dic89C2311yescharacteristic
175C4⋊Dic89C2312yes—
176#13083553C2311yescharacteristic
177#13083553C2311yescharacteristic
178#13083553C2311yescharacteristic
179#13083553C2312yes—
180#13083553C2311yescharacteristic
181#13083553C2311yescharacteristic
182#13083553C2311yescharacteristic
183C22⋊Dic89C2311yescharacteristic
184C22⋊Dic89C2311yescharacteristic
185C22⋊Dic89C2311yescharacteristic
186C22⋊Dic89C2311yescharacteristic
187C22⋊Dic89C2312yes—
188C22⋊Dic89C2312yes—
189#13083551C2311yescharacteristic
190#13083551C2311yescharacteristic
191#13083551C2312yes—
192#13083551C2312yes—
193#13083551C2312yes—
194#13083551C2312yes—
195#13083551C2311yescharacteristic
196#13083551C2311yescharacteristic
197#13083551C2312yes—
198#13083551C2312yes—
199#13083551C2312yes—
200#13083551C2312yes—
201#13083551C2312yes—
202#13083551C2312yes—
203C4×Dic89C2311yescharacteristic
204C4×Dic89C2311yescharacteristic
205C4×Dic89C2312yes—
206C4×Dic89C2311yescharacteristic
207C4×Dic89C2311yescharacteristic
208C4×Dic89C2311yescharacteristic
209C24×C89C2312yes—
210#41×C89—42no—
211C2×Q8×C89C2311yescharacteristic
212C2×D4×C89—42no—
213C2×D4×C89C2311yescharacteristic
214C2×D4×C89C2311yescharacteristic
215C2×D4×C89C2311yescharacteristic
216C2×D4×C89C2312yes—
217C2×D4×C89C2312yes—
218C2×D4×C89C2312yes—
219C22×C4×C89C2311yescharacteristic
220C22×C4×C89C2311yescharacteristic
221C22×C4×C89C2312yes—
222C22×C4×C89C2312yes—
223C4⋊C4×C89C2312yes—
224C4⋊C4×C89C2311yescharacteristic
225C4⋊C4×C89C2311yescharacteristic
226C22⋊C4×C89C2312yes—
227C22⋊C4×C89C2312yes—
228C22⋊C4×C89C2311yescharacteristic
229C22⋊C4×C89C2311yescharacteristic
230C22⋊C4×C89C2312yes—
231C22⋊C4×C89C2312yes—
232C22⋊C4×C89C2312yes—
233C42×C89C2311yescharacteristic
234C23×C89—24no—
235C23×C89—42no—
236C23×C89—42no—
237C23×C89C2412yes—
238C23×C89C2412yes—
239C23×C89C2411yescharacteristic
240C23×C89C2411yescharacteristic
241C22×D89—24no—
242C22×D89—42no—
243C22×D89—42no—
244C22×D89—42no—
245C22×D89—42no—
246C22×D89—42no—
247C22×D89—42no—
248C22×D89—42no—
249C22×D89—42no—
250C22×D89C2411yescharacteristic
251C22×D89C2412yes—
252C22×D89C2412yes—
253C22×D89C2412yes—
254Q8×C89—22no—
255D4×C89—22no—
256D4×C89—22no—
257D4×C89—22no—
258D4×C89—42no—
259D4×C89—42no—
260D4×C89—42no—
261C2×C4×C89—22no—
262C2×C4×C89—22no—
263C2×C4×C89—42no—
264C2×C4×C89—42no—
265C2×C4×C89C2411yescharacteristic
266C2×C4×C89C2411yescharacteristic
267C2×C4×C89C2412yes—
268C2×C4×C89C2411yescharacteristic
269C2×C4×C89C2412yes—
270C2×C4×C89C2411yescharacteristic
271C2×C4×C89C2411yescharacteristic
272C22⋊D89—24no—
273C22⋊D89—22no—
274C22⋊D89—22no—
275C22⋊D89—24no—
276C22⋊D89—24no—
277C22⋊D89—42no—
278C22⋊D89—42no—
279C22⋊D89—42no—
280C22⋊D89—42no—
281C22⋊D89—42no—
282C22⋊D89—42no—
283C22⋊D89—42no—
284C22⋊D89—42no—
285C22⋊D89—42no—
286C22⋊D89—42no—
287C22⋊D89—42no—
288C2×Dic89—22no—
289C2×Dic89—22no—
290C2×Dic89—42no—
291C2×Dic89C2411yescharacteristic
292C2×Dic89C2411yescharacteristic
293C2×Dic89C2411yescharacteristic
294C2×Dic89C2411yescharacteristic
295C2×Dic89C2411yescharacteristic
296C2×Dic89C2412yes—
297C2×Dic89C2411yescharacteristic
298C2×Dic89C2411yescharacteristic
299D356—22no—
300D356—22no—
301D356—22no—
302D356—42no—
303D356—42no—
304D356—42no—
305D356—42no—
306D356—42no—
307D356—42no—
308C4×D89—22no—
309C4×D89—24no—
310C4×D89—42no—
311C4×D89—42no—
312C4×D89—42no—
313Dic178—22no—
314C22×C89—21no—
315C22×C89—21no—
316C22×C89—22no—
317C22×C89—22no—
318C22×C89—22no—
319C22×C89—21no—
320C22×C89—22no—
321C22×C89—21no—
322C22×C89—22no—
323C22×C89—21no—
324C22×C89—22no—
325C22×C89—84no—
326C22×C89H(5,𝔽2)12yes—
327C22×C89C2511yescharacteristic
328C2×D89—21no—
329C2×D89—22no—
330C2×D89—22no—
331C2×D89—22no—
332C2×D89—22no—
333C2×D89—22no—
334C2×D89—22no—
335C2×D89—21no—
336C2×D89—22no—
337C2×D89—22no—
338C2×D89—22no—
339C2×D89—21no—
340C2×D89—84no—
341C2×D89—84no—
342C2×D89—84no—
343C4×C89—21no—
344C4×C89—22no—
345C4×C89—21no—
346C4×C89—22no—
347C4×C89—21no—
348C4×C89—21no—
349C4×C89H(5,𝔽2)12yes—
350Dic89—21no—
351Dic89—21no—
352Dic89—22no—
353Dic89—21no—
354Dic89—21no—
355Dic89—21no—
356Dic89—21no—
357Dic89H(5,𝔽2)12yes—
358C2×C89—22no—
359C2×C89—41no—
360C2×C89—42no—
361C2×C89—42no—
362C2×C89C2×H(5,𝔽2)11yescharacteristic
363C2×C89C2×H(5,𝔽2)11yescharacteristic
364C2×C89C2×H(5,𝔽2)11yescharacteristic
365D89—42no—
366D89—41no—
367D89—42no—
368D89—42no—
369#3543—891nomaximal, Sylow
370C89#354311yescharacteristic, complemented, Sylow
371#560—892no—
372#560—892no—
373#559—891no—
374#550—891no—
375#550—891no—
376#546—891no—
377#546—892no—
378#546D8911yescharacteristic, complemented
379D42—891no—
380D42—891no—
381D42—892no—
382D42—891no—
383#540—892no—
384#540—891no—
385#540—891no—
386#535—891no—
387#535—891no—
388#535—892no—
389#534—892no—
390#534—892no—
391C2×#127—891no—
392#529—891no—
393#529—891no—
394C2×#41—891no—
395C2×#41—892no—
396C2×#41C2×D8911yescharacteristic, complemented
397C22×D4—892no—
398C22×D4—892no—
399C22×D4—892no—
400C22×D4—892no—
401C22×D4—891no—
402C22×D4—892no—
403C22×D4—891no—
404C22×D4—891no—
405C22×D4C2×D8911yescharacteristic, complemented
406#127—891no—
407#127—891no—
408#127—892no—
409#127—891no—
410#127—891no—
411#127—892no—
412#127—891no—
413#127—892no—
414#127—891no—
415#126—891no—
416#126—892no—
417#126—891no—
418#125—891no—
419#125—891no—
420#124—891no—
421#124—891no—
422#124—891no—
423#124—892no—
424#124C2×D8911yescharacteristic, complemented
425#123—891no—
426#123—892no—
427#123—892no—
428#123—892no—
429#123—891no—
430#123—892no—
431#123—892no—
432#123—892no—
433#123—892no—
434#123—892no—
435#123C2×D8912yescomplemented
436C22⋊Q8—891no—
437C22⋊Q8C2×D8911yescharacteristic, complemented
438#121—892no—
439#121—892no—
440#121—891no—
441#121—891no—
442#121—892no—
443#121—892no—
444#121—891no—
445#121—892no—
446#121—892no—
447#121—892no—
448#121—892no—
449#121—892no—
450#121—891no—
451#121—892no—
452#121—891no—
453#121—892no—
454#121—892no—
455#121—892no—
456#121—892no—
457#121—892no—
458#121—892no—
459#121—892no—
460#121C2×D8912yescomplemented
461#121C2×D8911yescharacteristic, complemented
462#120—892no—
463#120—892no—
464#120—892no—
465#120—892no—
466#120—892no—
467#120—892no—
468#120—892no—
469#120—892no—
470#120—892no—
471#120—892no—
472#120—892no—
473#120C2×D8912yescomplemented
474C4×Q8—891no—
475C4×Q8—891no—
476C4×D4—891no—
477C4×D4—891no—
478C4×D4—891no—
479C4×D4—892no—
480C4×D4—891no—
481C4×D4—891no—
482C4×D4—892no—
483C4×D4—892no—
484C4×D4—891no—
485C4×D4C2×D8911yescharacteristic, complemented
486C4×D4C2×D8911yescharacteristic, complemented
487#117—891no—
488#117—892no—
489#117—891no—
490C2×C22⋊C4—892no—
491C2×C22⋊C4C2×D8912yescomplemented
492C2×C42—891no—
493C24—892no—
494C24—892no—
495C24—892no—
496C24C22×D8912yes—
497#41—42no—
498#41—3564no—
499#41—3562no—
500C2×Q8—891no—
501C2×Q8C22×D8911yescharacteristic
502C2×D4—42no—
503C2×D4—892no—
504C2×D4—892no—
505C2×D4—892no—
506C2×D4—892no—
507C2×D4—892no—
508C2×D4—892no—
509C2×D4—892no—
510C2×D4—892no—
511C2×D4—892no—
512C2×D4—892no—
513C2×D4—892no—
514C2×D4—891no—
515C2×D4—892no—
516C2×D4—891no—
517C2×D4—892no—
518C2×D4—892no—
519C2×D4—892no—
520C2×D4—892no—
521C2×D4—892no—
522C2×D4—892no—
523C2×D4—892no—
524C2×D4—892no—
525C2×D4—891no—
526C2×D4—891no—
527C2×D4—891no—
528C2×D4—3562no—
529C2×D4—3562no—
530C2×D4—3564no—
531C2×D4—3564no—
532C2×D4—3562no—
533C2×D4—3564no—
534C2×D4—3564no—
535C2×D4—3564no—
536C2×D4C22×D8911yescharacteristic
537C2×D4C22×D8911yescharacteristic
538C2×D4C22×D8911yescharacteristic
539C2×D4C22×D8912yes—
540C2×D4C22×D8912yes—
541C2×D4C22×D8912yes—
542C22×C4—892no—
543C22×C4—891no—
544C22×C4—891no—
545C22×C4—892no—
546C22×C4—892no—
547C22×C4—892no—
548C22×C4—892no—
549C22×C4—891no—
550C22×C4C22×D8911yescharacteristic
551C22×C4C22×D8911yescharacteristic
552C22×C4C22×D8912yes—
553C22×C4C22×D8912yes—
554C4⋊C4—891no—
555C4⋊C4—891no—
556C4⋊C4—891no—
557C4⋊C4—891no—
558C4⋊C4—892no—
559C4⋊C4—891no—
560C4⋊C4—891no—
561C4⋊C4—891no—
562C4⋊C4—892no—
563C4⋊C4—891no—
564C4⋊C4—891no—
565C4⋊C4—892no—
566C4⋊C4—891no—
567C4⋊C4C22×D8912yes—
568C4⋊C4C22×D8911yescharacteristic
569C4⋊C4C22×D8911yescharacteristic
570C22⋊C4—891no—
571C22⋊C4—891no—
572C22⋊C4—891no—
573C22⋊C4—891no—
574C22⋊C4—892no—
575C22⋊C4—892no—
576C22⋊C4—892no—
577C22⋊C4—892no—
578C22⋊C4—891no—
579C22⋊C4—892no—
580C22⋊C4—892no—
581C22⋊C4—891no—
582C22⋊C4—891no—
583C22⋊C4—892no—
584C22⋊C4—892no—
585C22⋊C4—891no—
586C22⋊C4—892no—
587C22⋊C4—892no—
588C22⋊C4—892no—
589C22⋊C4—892no—
590C22⋊C4C22×D8912yes—
591C22⋊C4C22×D8911yescharacteristic
592C22⋊C4C22×D8912yes—
593C22⋊C4C22×D8912yes—
594C22⋊C4C22×D8912yes—
595C22⋊C4C22×D8911yescharacteristic
596C22⋊C4C22×D8912yes—
597C42—891no—
598C42—891no—
599C42—891no—
600C42—891no—
601C42—892no—
602C42—891no—
603C42C22×D8911yescharacteristic
604C23—24no—
605C23—42no—
606C23—42no—
607C23—892no—
608C23—891no—
609C23—892no—
610C23—892no—
611C23—3562no—
612C23—3562no—
613C23—3562no—
614C23—3562no—
615C23—3562no—
616C23—3562no—
617C23—3562no—
618C23—3562no—
619C23—1784no—
620C23C23×D8911yescharacteristic
621C23C23×D8912yes—
622C23C23×D8912yes—
623C23C23×D8911yescharacteristic
624Q8—22no—
625Q8—1782no—
626D4—22no—
627D4—22no—
628D4—22no—
629D4—42no—
630D4—42no—
631D4—42no—
632D4—3562no—
633D4—3562no—
634D4—3562no—
635D4—3562no—
636D4—3562no—
637D4—3562no—
638D4—3562no—
639D4—3562no—
640D4—3562no—
641D4—3562no—
642D4—3562no—
643D4—3562no—
644D4—3562no—
645D4—3562no—
646D4—3562no—
647D4—3562no—
648D4—3562no—
649D4—1782no—
650D4—1784no—
651D4—1784no—
652D4—1784no—
653D4—1782no—
654D4—1782no—
655D4—1782no—
656D4—1782no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—891no—
662C2×C4—891no—
663C2×C4—891no—
664C2×C4—891no—
665C2×C4—891no—
666C2×C4—891no—
667C2×C4—892no—
668C2×C4—891no—
669C2×C4—3562no—
670C2×C4—3562no—
671C2×C4—3562no—
672C2×C4—3562no—
673C2×C4—1784no—
674C2×C4—1782no—
675C2×C4—1782no—
676C2×C4—1782no—
677C2×C4C23×D8911yescharacteristic
678C2×C4C23×D8912yes—
679C2×C4C23×D8911yescharacteristic
680C2×C4C23×D8911yescharacteristic
681C2×C4C23×D8911yescharacteristic
682C2×C4C23×D8912yes—
683C2×C4C23×D8911yescharacteristic
684C22—21no—
685C22—21no—
686C22—22no—
687C22—21no—
688C22—22no—
689C22—21no—
690C22—22no—
691C22—22no—
692C22—22no—
693C22—21no—
694C22—22no—
695C22—84no—
696C22—1782no—
697C22—1782no—
698C22—1781no—
699C22—1782no—
700C22—1782no—
701C22—1781no—
702C22—1782no—
703C22—1782no—
704C22—1782no—
705C22—1782no—
706C22—1782no—
707C22—1781no—
708C22—7124no—
709C22—7124no—
710C22—7124no—
711C22#1566805812yes—
712C22C24×D8911yescharacteristic
713C4—21no—
714C4—22no—
715C4—21no—
716C4—21no—
717C4—22no—
718C4—21no—
719C4—892no—
720C4—1781no—
721C4—1781no—
722C4—1781no—
723C4—1782no—
724C4—1781no—
725C4—1781no—
726C4—1781no—
727C4#1566805712yes—
728C2—22no—
729C2—42no—
730C2—42no—
731C2—41no—
732C2—3562no—
733C2—3562no—
734C2—3561no—
735C2—3562no—
736C2H(5,𝔽2)×D8911yescharacteristic
737C2C2×#1566805711yescharacteristic
738C2C2×#1566805811yescharacteristic
subgroupG/H
center, FrattiniC22C24×D89
commutator, socle, cosocleC22×C89C25
Fitting#546×C89C2
hypercenter#546D89
hypocenterC89#3543
LCSG ▷ C22×C89 ▷ C89
UCSC1 ◁ C22 ◁ #546

Complements

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

NH ≅ G/Ntype
1. #19152338C2semidirect
2. #19152336C2semidirect
3. #19152330C2semidirect
4. #19152269C2semidirect
5. #19152267C2semidirect
6. #19152239C2semidirect
7. #19152238C2semidirect
8. D4×D356C2semidirect
9. #19152232C2semidirect
10. D4×C22⋊D89C2semidirect
11. #19152230C2semidirect
12. #19152201C2semidirect
13. #19152200C2semidirect
14. #19152199C2semidirect
15. #19152166C2semidirect
16. #19152164C2semidirect
17. #19152162C2semidirect
18. #19152160C2semidirect
19. #19152158C2semidirect
20. C2×#15668008C2semidirect
21. #19152134C2semidirect
22. #19152128C2semidirect
23. #546×C89C2semidirect
24. C2×#13083575C22semidirect
25. C2×#13083574C22semidirect
26. C22×D356C22semidirect
27. C22×D356C22semidirect
28. C22×C22⋊D89C22semidirect
29. C22×C22⋊D89C22semidirect
30. C22×C22⋊D89C22semidirect
31. C2×D4×D89C22semidirect
32. C2×D4×D89C22semidirect
33. C2×D4×D89C22semidirect
34. #15668009C22semidirect
36. #15668008C22semidirect
37. #15668008C22semidirect
38. #15668008C22semidirect
39. #15668008C22semidirect
40. #15668008C22semidirect
41. #15668008C22semidirect
42. #15668008C22semidirect
43. #15668007C22semidirect
44. #15668007C22semidirect
45. #15668005C22semidirect
46. #15668003C22semidirect
47. #15668002C22semidirect
48. #15668001C22semidirect
49. #15668001C22semidirect
50. #15667998C22semidirect
51. #15667998C22semidirect
52. #15667997C22semidirect
53. #15667996C22semidirect
54. #15667996C22semidirect
55. #15667996C22semidirect
56. #15667996C22semidirect
57. #15667995C22semidirect
58. #15667994C22semidirect
59. #15667994C22semidirect
60. #15667994C22semidirect
61. #15667993C22semidirect
62. #15667989C22semidirect
63. #15667987C22semidirect
64. #15667987C22semidirect
65. #15667987C22semidirect
67. #15667986C22semidirect
68. #15667986C22semidirect
69. #15667986C22semidirect
70. #15667986C22semidirect
71. #15667986C22semidirect
72. #15667986C22semidirect
73. #15667985C22semidirect
74. #15667985C22semidirect
75. #15667985C22semidirect
76. #15667985C22semidirect
77. #15667985C22semidirect
78. #15667985C22semidirect
80. #15667984C22semidirect
81. #15667984C22semidirect
82. #15667983C22semidirect
83. #15667983C22semidirect
84. #15667983C22semidirect
85. #15667982C22semidirect
86. #15667982C22semidirect
87. #15667982C22semidirect
88. #15667982C22semidirect
89. #15667982C22semidirect
90. #15667982C22semidirect
91. #15667981C22semidirect
92. #15667980C22semidirect
93. #15667980C22semidirect
94. #15667980C22semidirect
95. #15667980C22semidirect
96. Q8×Dic89C22semidirect
97. C4×Dic178C22semidirect
98. C4×D356C22semidirect
99. D4×Dic89C22semidirect
100. #15667974C22semidirect
101. #15667974C22semidirect
102. C4×C22⋊D89C22semidirect
103. C4×C22⋊D89C22semidirect
104. C4×C22⋊D89C22semidirect
105. #15667972C22semidirect
106. #15667972C22semidirect
107. #15667971C22semidirect
108. #15667970C22semidirect
109. #15667969C22semidirect
110. C22⋊C4×D89C22semidirect
111. C2×C4×Dic89C22semidirect
112. C2×#41×C89C22semidirect
113. C22×D4×C89C22semidirect
114. #124×C89C22semidirect
115. #123×C89C22semidirect
116. C22⋊Q8×C89C22semidirect
117. #121×C89C22semidirect
118. #121×C89C22semidirect
119. #120×C89C22semidirect
120. C4×D4×C89C22semidirect
121. C4×D4×C89C22semidirect
122. C2×C22⋊C4×C89C22semidirect
370. C89#3543semidirect
378. #546D89semidirect
396. C2×#41C2×D89semidirect
405. C22×D4C2×D89semidirect
424. #124C2×D89semidirect
435. #123C2×D89semidirect
437. C22⋊Q8C2×D89semidirect
460. #121C2×D89semidirect
461. #121C2×D89semidirect
473. #120C2×D89semidirect
485. C4×D4C2×D89semidirect
486. C4×D4C2×D89semidirect
491. C2×C22⋊C4C2×D89semidirect

Maximal subgroups

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

subgroupindex
#191523382
#191523362
#191523302
#191522692
#191522672
#191522392
#191522382
D4×D3562
#191522322
D4×C22⋊D892
#191522302
#191522012
#191522002
#191521992
#191521662
#191521642
#191521622
#191521602
#191521582
C2×#156680082
#191521342
#191521282
#546×C892
#354389