Finite Group Databasebeta

← #26034577

Subgroups — #26034577

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#19152337C212yesmaximal, complemented
2#19152336C212yesmaximal, complemented
3#19152331C211yesmaximal, characteristic, complemented
4#19152268C211yesmaximal, characteristic, complemented
5#19152266C211yesmaximal, characteristic, complemented
6#19152244C211yesmaximal, characteristic, complemented
7#19152242C211yesmaximal, characteristic, complemented
8#19152235C212yesmaximal, complemented
9#19152232C211yesmaximal, characteristic, complemented
10D4×C22⋊D89C212yesmaximal, complemented
11D4×C22⋊D89C211yesmaximal, characteristic, complemented
12#19152201C211yesmaximal, characteristic, complemented
13#19152199C211yesmaximal, characteristic, complemented
14#19152198C212yesmaximal, complemented
15#19152165C211yesmaximal, characteristic, complemented
16#19152163C212yesmaximal, complemented
17#19152161C211yesmaximal, characteristic, complemented
18#19152158C212yesmaximal, complemented
19#19152157C212yesmaximal, complemented
20C2×#15668008C211yesmaximal, characteristic, complemented
21#19152129C211yesmaximal, characteristic, complemented
22#19152128C211yesmaximal, characteristic, complemented
23D42×C89C211yesmaximal, characteristic, complemented
24C2×#13083574C2211yescharacteristic, complemented
25C2×#13083573C2211yescharacteristic, complemented
26C2×#13083573C2212yescomplemented
27C22×D356C2211yescharacteristic, complemented
28C22×C22⋊D89C2212yescomplemented
29C22×C22⋊D89C2212yescomplemented
30C22×C22⋊D89C2212yescomplemented
31C2×D4×D89C2212yescomplemented
32C2×D4×D89C2211yescharacteristic, complemented
33#15668008C2211yescharacteristic
34#15668008C2211yescharacteristic, complemented
35#15668008C2212yescomplemented
36#15668008C2211yescharacteristic, complemented
37#15668008C2211yescharacteristic, complemented
38#15668008C2212yescomplemented
39#15668008C2212yescomplemented
40#15668008C2211yescharacteristic, complemented
41#15668007C2211yescharacteristic, complemented
42#15668005C2211yescharacteristic, complemented
43#15668005C2212yescomplemented
44#15668003C2211yescharacteristic, complemented
45#15668002C2211yescharacteristic, complemented
46#15668000C2211yescharacteristic, complemented
47#15667999C2211yescharacteristic, complemented
48#15667999C2211yescharacteristic, complemented
49#15667998C2211yescharacteristic, complemented
50#15667998C2212yescomplemented
51#15667997C2212yescomplemented
52#15667996C2211yescharacteristic, complemented
53#15667996C2212yescomplemented
54#15667995C2212yescomplemented
55#15667995C2212yescomplemented
56#15667994C2212yescomplemented
57#15667994C2212yescomplemented
58#15667994C2212yescomplemented
59#15667993C2211yescharacteristic, complemented
60#15667993C2212yescomplemented
61#15667993C2212yescomplemented
62#15667991C2211yescharacteristic, complemented
63#15667989C2211yescharacteristic, complemented
64#15667987C2211yescharacteristic, complemented
65#15667986C2212yescomplemented
66#15667986C2211yescharacteristic, complemented
67#15667985C2212yescomplemented
68#15667985C2212yescomplemented
69#15667985C2212yescomplemented
70#15667985C2212yescomplemented
71#15667984C2211yescharacteristic
72#15667984C2212yescomplemented
73#15667984C2212yescomplemented
74#15667984C2212yescomplemented
75#15667984C2212yescomplemented
76#15667984C2212yescomplemented
77#15667984C2212yescomplemented
78#15667984C2212yescomplemented
79#15667984C2212yescomplemented
80#15667983C2212yescomplemented
81#15667983C2212yescomplemented
82#15667983C2212yescomplemented
83#15667983C2211yescharacteristic, complemented
84#15667983C2212yescomplemented
85#15667982C2212yescomplemented
86#15667981C2212yescomplemented
87#15667981C2212yescomplemented
88#15667981C2212yescomplemented
89#15667981C2212yescomplemented
90#15667980C2212yescomplemented
91#15667980C2212yescomplemented
92#15667980C2212yescomplemented
93#15667980C2212yescomplemented
94#15667980C2212yescomplemented
95C4×Dic178C2211yescharacteristic, complemented
96#15667977C2211yescharacteristic, complemented
97C4×D356C2211yescharacteristic, complemented
98D4×Dic89C2212yescomplemented
99D4×Dic89C2211yescharacteristic, complemented
100D4×Dic89C2211yescharacteristic, complemented
101#15667974C2211yescharacteristic, complemented
102C4×C22⋊D89C2211yescharacteristic, complemented
103C4×C22⋊D89C2211yescharacteristic, complemented
104C4×C22⋊D89C2212yescomplemented
105#15667972C2212yescomplemented
106#15667971C2211yescharacteristic, complemented
107#15667969C2211yescharacteristic, complemented
108#15667968C2212yescomplemented
109C2×C22⋊Dic89C2212yescomplemented
110C22⋊C4×D89C2212yescomplemented
111C2×C4×Dic89C2211yescharacteristic, complemented
112C22×D4×C89C2211yescharacteristic, complemented
113C22×D4×C89C2212yescomplemented
114C22×D4×C89C2211yescharacteristic, complemented
115#127×C89C2211yescharacteristic, complemented
116#121×C89C2211yescharacteristic
117#121×C89C2212yescomplemented
118#121×C89C2211yescharacteristic, complemented
119#120×C89C2212yescomplemented
120#120×C89C2212yescomplemented
121C4×D4×C89C2211yescharacteristic, complemented
122C4×D4×C89C2211yescharacteristic, complemented
123C23×D89C2312yes—
124C23×D89C2312yes—
125#13083574—42no—
126#13083573—42no—
127#13083573—44no—
128C2×Dic178C2311yescharacteristic
129C2×Dic178C2311yescharacteristic
130C2×D356—42no—
131C2×D356C2311yescharacteristic
132C2×D356C2311yescharacteristic
133C2×D356C2312yes—
134C2×D356C2312yes—
135C2×C22⋊D89—44no—
136C2×C22⋊D89—44no—
137C2×C22⋊D89—44no—
138C2×C22⋊D89C2312yes—
139C2×C22⋊D89C2311yescharacteristic
140C2×C22⋊D89C2311yescharacteristic
141C2×C22⋊D89C2312yes—
142C2×C22⋊D89C2312yes—
143C2×C22⋊D89C2312yes—
144C2×C22⋊D89C2312yes—
145C2×C22⋊D89C2312yes—
146C2×C22⋊D89C2312yes—
147C2×C22⋊D89C2312yes—
148C2×C22⋊D89C2312yes—
149C2×C22⋊D89C2312yes—
150C2×C22⋊D89C2312yes—
151C2×C22⋊D89C2312yes—
152C2×C22⋊D89C2312yes—
153C2×C22⋊D89C2312yes—
154C2×C22⋊D89C2312yes—
155D4×D89—42no—
156D4×D89—44no—
157C22×Dic89C2312yes—
158C22×Dic89C2311yescharacteristic
159C22×Dic89C2311yescharacteristic
160C22×Dic89C2312yes—
161C22×Dic89C2312yes—
162C2×C4×D89C2311yescharacteristic
163C2×C4×D89C2312yes—
164C2×C4×D89C2312yes—
165C2×C4×D89C2312yes—
166C4⋊Dic89C2311yescharacteristic
167C4⋊Dic89C2311yescharacteristic
168C4⋊Dic89C2311yescharacteristic
169C4⋊Dic89C2312yes—
170C4⋊Dic89C2311yescharacteristic
171#13083553C2312yes—
172#13083553C2312yes—
173#13083553C2311yescharacteristic
174#13083553C2311yescharacteristic
175#13083553C2311yescharacteristic
176#13083553C2311yescharacteristic
177#13083553C2311yescharacteristic
178#13083553C2312yes—
179#13083553C2311yescharacteristic
180C22⋊Dic89C2312yes—
181C22⋊Dic89C2311yescharacteristic
182C22⋊Dic89C2311yescharacteristic
183C22⋊Dic89C2311yescharacteristic
184C22⋊Dic89C2312yes—
185C22⋊Dic89C2311yescharacteristic
186C22⋊Dic89C2312yes—
187C22⋊Dic89C2312yes—
188C22⋊Dic89C2312yes—
189C22⋊Dic89C2312yes—
190C22⋊Dic89C2312yes—
191C22⋊Dic89C2312yes—
192#13083551C2311yescharacteristic
193#13083551C2311yescharacteristic
194#13083551C2312yes—
195#13083551C2312yes—
196#13083551C2311yescharacteristic
197#13083551C2311yescharacteristic
198#13083551C2312yes—
199#13083551C2312yes—
200#13083551C2312yes—
201#13083551C2312yes—
202C4×Dic89C2311yescharacteristic
203C4×Dic89C2312yes—
204C4×Dic89C2311yescharacteristic
205C4×Dic89C2311yescharacteristic
206C4×Dic89C2311yescharacteristic
207C4×Dic89C2311yescharacteristic
208C24×C89C2312yes—
209C24×C89C2312yes—
210C2×D4×C89—42no—
211C2×D4×C89—42no—
212C2×D4×C89—44no—
213C2×D4×C89C2312yes—
214C2×D4×C89C2311yescharacteristic
215C2×D4×C89C2311yescharacteristic
216C2×D4×C89C2311yescharacteristic
217C2×D4×C89C2311yescharacteristic
218C2×D4×C89C2312yes—
219C2×D4×C89C2312yes—
220C2×D4×C89C2312yes—
221C2×D4×C89C2312yes—
222C2×D4×C89C2312yes—
223C22×C4×C89C2311yescharacteristic
224C22×C4×C89C2311yescharacteristic
225C22×C4×C89C2312yes—
226C4⋊C4×C89C2311yescharacteristic
227C4⋊C4×C89C2311yescharacteristic
228C22⋊C4×C89C2312yes—
229C22⋊C4×C89C2312yes—
230C22⋊C4×C89C2311yescharacteristic
231C22⋊C4×C89C2312yes—
232C22⋊C4×C89C2311yescharacteristic
233C42×C89C2311yescharacteristic
234C23×C89—24no—
235C23×C89—42no—
236C23×C89—42no—
237C23×C89—42no—
238C23×C89—42no—
239C23×C89—42no—
240C23×C89C2411yescharacteristic
241C23×C89C2412yes—
242C23×C89C2412yes—
243C23×C89C2412yes—
244C23×C89C2411yescharacteristic
245C22×D89—24no—
246C22×D89—42no—
247C22×D89—42no—
248C22×D89—42no—
249C22×D89—42no—
250C22×D89—42no—
251C22×D89C2411yescharacteristic
252C22×D89C2412yes—
253C22×D89C2412yes—
254D4×C89—22no—
255D4×C89—24no—
256D4×C89—22no—
257D4×C89—22no—
258D4×C89—22no—
259D4×C89—42no—
260D4×C89—42no—
261D4×C89—42no—
262D4×C89—42no—
263D4×C89—42no—
264C2×C4×C89—22no—
265C2×C4×C89—22no—
266C2×C4×C89—42no—
267C2×C4×C89C2411yescharacteristic
268C2×C4×C89C2411yescharacteristic
269C2×C4×C89C2411yescharacteristic
270C2×C4×C89C2412yes—
271C2×C4×C89C2411yescharacteristic
272C2×C4×C89C2411yescharacteristic
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—
288C22⋊D89—42no—
289C22⋊D89—42no—
290C2×Dic89—22no—
291C2×Dic89—22no—
292C2×Dic89—24no—
293C2×Dic89—42no—
294C2×Dic89—42no—
295C2×Dic89C2411yescharacteristic
296C2×Dic89C2411yescharacteristic
297C2×Dic89C2411yescharacteristic
298C2×Dic89C2411yescharacteristic
299C2×Dic89C2412yes—
300C2×Dic89C2411yescharacteristic
301C2×Dic89C2411yescharacteristic
302C2×Dic89C2412yes—
303C2×Dic89C2411yescharacteristic
304D356—22no—
305D356—22no—
306D356—42no—
307D356—42no—
308C4×D89—22no—
309C4×D89—42no—
310C4×D89—42no—
311C4×D89—42no—
312Dic178—22no—
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—22no—
324C22×C89—22no—
325C22×C89—22no—
326C22×C89—21no—
327C22×C89—22no—
328C22×C89—84no—
329C22×C89—84no—
330C22×C89H(5,𝔽2)12yes—
331C22×C89C2511yescharacteristic
332C2×D89—21no—
333C2×D89—22no—
334C2×D89—22no—
335C2×D89—22no—
336C2×D89—22no—
337C2×D89—21no—
338C2×D89—22no—
339C2×D89—21no—
340C2×D89—22no—
341C2×D89—84no—
342C2×D89—84no—
343C4×C89—21no—
344C4×C89—21no—
345C4×C89—22no—
346C4×C89—21no—
347C4×C89—21no—
348C4×C89H(5,𝔽2)12yes—
349Dic89—22no—
350Dic89—21no—
351Dic89—21no—
352Dic89—21no—
353Dic89—22no—
354Dic89—21no—
355Dic89—21no—
356Dic89—21no—
357Dic89H(5,𝔽2)12yes—
358C2×C89—22no—
359C2×C89—42no—
360C2×C89—42no—
361C2×C89—41no—
362C2×C89—42no—
363C2×C89C2×H(5,𝔽2)11yescharacteristic
364C2×C89C2×H(5,𝔽2)11yescharacteristic
365C2×C89C2×H(5,𝔽2)11yescharacteristic
366D89—42no—
367D89—41no—
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#546—891no—
379D42—892no—
380D42—891no—
381D42—891no—
382D42D8911yescharacteristic, complemented
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×#41—891no—
397C22×D4—892no—
398C22×D4—892no—
399C22×D4—892no—
400C22×D4—892no—
401C22×D4—891no—
402C22×D4—891no—
403C22×D4C2×D8911yescharacteristic, complemented
404C22×D4C2×D8912yescomplemented
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#127C2×D8911yescharacteristic, complemented
415#126—891no—
416#126—891no—
417#126—892no—
418#125—891no—
419#125—891no—
420#124—891no—
421#124—891no—
422#124—891no—
423#124—892no—
424#124—891no—
425#123—892no—
426#123—891no—
427#123—892no—
428#123—892no—
429#123—892no—
430#123—892no—
431#123—891no—
432#123—892no—
433#123—892no—
434#123—892no—
435#123—892no—
436C22⋊Q8—891no—
437C22⋊Q8—891no—
438#121—892no—
439#121—892no—
440#121—892no—
441#121—891no—
442#121—892no—
443#121—891no—
444#121—892no—
445#121—892no—
446#121—892no—
447#121—892no—
448#121—892no—
449#121—892no—
450#121—892no—
451#121—892no—
452#121—891no—
453#121—892no—
454#121—891no—
455#121—892no—
456#121—892no—
457#121—892no—
458#121—892no—
459#121C2×D8911yescharacteristic
460#121C2×D8911yescharacteristic, complemented
461#121C2×D8912yescomplemented
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#120C2×D8912yescomplemented
473#120C2×D8912yescomplemented
474C4×Q8—891no—
475C4×Q8—891no—
476C4×D4—892no—
477C4×D4—891no—
478C4×D4—891no—
479C4×D4—891no—
480C4×D4—891no—
481C4×D4—892no—
482C4×D4—891no—
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⋊C4—892no—
492C2×C42—891no—
493C24—892no—
494C24—892no—
495C24C22×D8912yes—
496C24C22×D8912yes—
497#41—3562no—
498#41—3562no—
499#41—3564no—
500C2×Q8—891no—
501C2×Q8—891no—
502C2×D4—42no—
503C2×D4—42no—
504C2×D4—44no—
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—892no—
515C2×D4—892no—
516C2×D4—892no—
517C2×D4—892no—
518C2×D4—891no—
519C2×D4—891no—
520C2×D4—892no—
521C2×D4—892no—
522C2×D4—892no—
523C2×D4—892no—
524C2×D4—891no—
525C2×D4—891no—
526C2×D4—3562no—
527C2×D4—3564no—
528C2×D4—3562no—
529C2×D4—3564no—
530C2×D4—3564no—
531C2×D4—3564no—
532C2×D4C22×D8912yes—
533C2×D4C22×D8911yescharacteristic
534C2×D4C22×D8911yescharacteristic
535C2×D4C22×D8911yescharacteristic
536C2×D4C22×D8911yescharacteristic
537C2×D4C22×D8912yes—
538C2×D4C22×D8912yes—
539C2×D4C22×D8912yes—
540C2×D4C22×D8912yes—
541C2×D4C22×D8912yes—
542C22×C4—892no—
543C22×C4—892no—
544C22×C4—891no—
545C22×C4—891no—
546C22×C4—892no—
547C22×C4—892no—
548C22×C4—892no—
549C22×C4—892no—
550C22×C4—891no—
551C22×C4C22×D8911yescharacteristic
552C22×C4C22×D8911yescharacteristic
553C22×C4C22×D8912yes—
554C4⋊C4—891no—
555C4⋊C4—892no—
556C4⋊C4—891no—
557C4⋊C4—892no—
558C4⋊C4—891no—
559C4⋊C4—891no—
560C4⋊C4—891no—
561C4⋊C4—891no—
562C4⋊C4—891no—
563C4⋊C4—891no—
564C4⋊C4—892no—
565C4⋊C4—892no—
566C4⋊C4—891no—
567C4⋊C4—891no—
568C4⋊C4C22×D8911yescharacteristic
569C4⋊C4C22×D8911yescharacteristic
570C22⋊C4—891no—
571C22⋊C4—892no—
572C22⋊C4—892no—
573C22⋊C4—892no—
574C22⋊C4—891no—
575C22⋊C4—892no—
576C22⋊C4—891no—
577C22⋊C4—892no—
578C22⋊C4—891no—
579C22⋊C4—892no—
580C22⋊C4—892no—
581C22⋊C4—892no—
582C22⋊C4—892no—
583C22⋊C4—892no—
584C22⋊C4—891no—
585C22⋊C4—891no—
586C22⋊C4—891no—
587C22⋊C4—891no—
588C22⋊C4—892no—
589C22⋊C4—892no—
590C22⋊C4—892no—
591C22⋊C4—892no—
592C22⋊C4C22×D8911yescharacteristic
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—42no—
608C23—42no—
609C23—42no—
610C23—892no—
611C23—891no—
612C23—892no—
613C23—3562no—
614C23—3562no—
615C23—3562no—
616C23—3562no—
617C23—3562no—
618C23—1784no—
619C23C23×D8912yes—
620C23C23×D8911yescharacteristic
621C23C23×D8912yes—
622C23C23×D8912yes—
623C23C23×D8911yescharacteristic
624Q8—1782no—
625Q8—1782no—
626D4—22no—
627D4—24no—
628D4—22no—
629D4—22no—
630D4—22no—
631D4—42no—
632D4—42no—
633D4—42no—
634D4—42no—
635D4—42no—
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—3562no—
650D4—3562no—
651D4—1782no—
652D4—1784no—
653D4—1784no—
654D4—1782no—
655D4—1782no—
656D4—1782no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—42no—
660C2×C4—891no—
661C2×C4—891no—
662C2×C4—891no—
663C2×C4—891no—
664C2×C4—891no—
665C2×C4—892no—
666C2×C4—891no—
667C2×C4—892no—
668C2×C4—891no—
669C2×C4—3562no—
670C2×C4—3562no—
671C2×C4—3562no—
672C2×C4—3562no—
673C2×C4—3562no—
674C2×C4—1782no—
675C2×C4—1784no—
676C2×C4—1782no—
677C2×C4—1782no—
678C2×C4C23×D8911yescharacteristic
679C2×C4C23×D8912yes—
680C2×C4C23×D8911yescharacteristic
681C2×C4C23×D8911yescharacteristic
682C2×C4C23×D8911yescharacteristic
683C2×C4C23×D8911yescharacteristic
684C22—21no—
685C22—21no—
686C22—22no—
687C22—22no—
688C22—21no—
689C22—22no—
690C22—21no—
691C22—22no—
692C22—22no—
693C22—21no—
694C22—22no—
695C22—22no—
696C22—22no—
697C22—22no—
698C22—84no—
699C22—84no—
700C22—1782no—
701C22—1782no—
702C22—1781no—
703C22—1782no—
704C22—1782no—
705C22—1781no—
706C22—1782no—
707C22—1781no—
708C22—1782no—
709C22—7124no—
710C22—7124no—
711C22#1566805712yes—
712C22C24×D8911yescharacteristic
713C4—21no—
714C4—21no—
715C4—21no—
716C4—21no—
717C4—22no—
718C4—892no—
719C4—1782no—
720C4—1781no—
721C4—1781no—
722C4—1781no—
723C4—1781no—
724C4—1782no—
725C4—1781no—
726C4—1781no—
727C4#1566805712yes—
728C2—22no—
729C2—42no—
730C2—41no—
731C2—42no—
732C2—42no—
733C2—3562no—
734C2—3562no—
735C2—3561no—
736C2H(5,𝔽2)×D8911yescharacteristic
737C2C2×#1566805711yescharacteristic
738C2C2×#1566805711yescharacteristic
subgroupG/H
center, FrattiniC22C24×D89
commutator, socle, cosocleC22×C89C25
FittingD42×C89C2
hypercenterD42D89
hypocenterC89#3543
LCSG ▷ C22×C89 ▷ C89
UCSC1 ◁ C22 ◁ D42

Complements

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

NH ≅ G/Ntype
1. #19152337C2semidirect
2. #19152336C2semidirect
3. #19152331C2semidirect
4. #19152268C2semidirect
5. #19152266C2semidirect
6. #19152244C2semidirect
7. #19152242C2semidirect
8. #19152235C2semidirect
9. #19152232C2semidirect
10. D4×C22⋊D89C2semidirect
11. D4×C22⋊D89C2semidirect
12. #19152201C2semidirect
13. #19152199C2semidirect
14. #19152198C2semidirect
15. #19152165C2semidirect
16. #19152163C2semidirect
17. #19152161C2semidirect
18. #19152158C2semidirect
19. #19152157C2semidirect
20. C2×#15668008C2semidirect
21. #19152129C2semidirect
22. #19152128C2semidirect
23. D42×C89C2semidirect
24. C2×#13083574C22semidirect
25. C2×#13083573C22semidirect
26. C2×#13083573C22semidirect
27. C22×D356C22semidirect
28. C22×C22⋊D89C22semidirect
29. C22×C22⋊D89C22semidirect
30. C22×C22⋊D89C22semidirect
31. C2×D4×D89C22semidirect
32. C2×D4×D89C22semidirect
34. #15668008C22semidirect
35. #15668008C22semidirect
36. #15668008C22semidirect
37. #15668008C22semidirect
38. #15668008C22semidirect
39. #15668008C22semidirect
40. #15668008C22semidirect
41. #15668007C22semidirect
42. #15668005C22semidirect
43. #15668005C22semidirect
44. #15668003C22semidirect
45. #15668002C22semidirect
46. #15668000C22semidirect
47. #15667999C22semidirect
48. #15667999C22semidirect
49. #15667998C22semidirect
50. #15667998C22semidirect
51. #15667997C22semidirect
52. #15667996C22semidirect
53. #15667996C22semidirect
54. #15667995C22semidirect
55. #15667995C22semidirect
56. #15667994C22semidirect
57. #15667994C22semidirect
58. #15667994C22semidirect
59. #15667993C22semidirect
60. #15667993C22semidirect
61. #15667993C22semidirect
62. #15667991C22semidirect
63. #15667989C22semidirect
64. #15667987C22semidirect
65. #15667986C22semidirect
66. #15667986C22semidirect
67. #15667985C22semidirect
68. #15667985C22semidirect
69. #15667985C22semidirect
70. #15667985C22semidirect
72. #15667984C22semidirect
73. #15667984C22semidirect
74. #15667984C22semidirect
75. #15667984C22semidirect
76. #15667984C22semidirect
77. #15667984C22semidirect
78. #15667984C22semidirect
79. #15667984C22semidirect
80. #15667983C22semidirect
81. #15667983C22semidirect
82. #15667983C22semidirect
83. #15667983C22semidirect
84. #15667983C22semidirect
85. #15667982C22semidirect
86. #15667981C22semidirect
87. #15667981C22semidirect
88. #15667981C22semidirect
89. #15667981C22semidirect
90. #15667980C22semidirect
91. #15667980C22semidirect
92. #15667980C22semidirect
93. #15667980C22semidirect
94. #15667980C22semidirect
95. C4×Dic178C22semidirect
96. #15667977C22semidirect
97. C4×D356C22semidirect
98. D4×Dic89C22semidirect
99. D4×Dic89C22semidirect
100. D4×Dic89C22semidirect
101. #15667974C22semidirect
102. C4×C22⋊D89C22semidirect
103. C4×C22⋊D89C22semidirect
104. C4×C22⋊D89C22semidirect
105. #15667972C22semidirect
106. #15667971C22semidirect
107. #15667969C22semidirect
108. #15667968C22semidirect
109. C2×C22⋊Dic89C22semidirect
110. C22⋊C4×D89C22semidirect
111. C2×C4×Dic89C22semidirect
112. C22×D4×C89C22semidirect
113. C22×D4×C89C22semidirect
114. C22×D4×C89C22semidirect
115. #127×C89C22semidirect
117. #121×C89C22semidirect
118. #121×C89C22semidirect
119. #120×C89C22semidirect
120. #120×C89C22semidirect
121. C4×D4×C89C22semidirect
122. C4×D4×C89C22semidirect
370. C89#3543semidirect
382. D42D89semidirect
403. C22×D4C2×D89semidirect
404. C22×D4C2×D89semidirect
405. C22×D4C2×D89semidirect
414. #127C2×D89semidirect
460. #121C2×D89semidirect
461. #121C2×D89semidirect
472. #120C2×D89semidirect
473. #120C2×D89semidirect
485. C4×D4C2×D89semidirect
486. C4×D4C2×D89semidirect

Maximal subgroups

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

subgroupindex
#191523372
#191523362
#191523312
#191522682
#191522662
#191522442
#191522422
#191522352
#191522322
D4×C22⋊D892
#191522012
#191521992
#191521982
#191521652
#191521632
#191521612
#191521582
#191521572
C2×#156680082
#191521292
#191521282
D42×C892
#354389