Finite Group Databasebeta

← #37547325

Subgroups — #37547325

Order 23168.

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#26042012C211yesmaximal, characteristic, complemented
2#26041988C211yesmaximal, characteristic, complemented
3#26041984C211yesmaximal, characteristic, complemented
4#26041979C211yesmaximal, characteristic, complemented
5#26041978C212yesmaximal, complemented
6#26041977C211yesmaximal, characteristic, complemented
7#26041958C212yesmaximal, complemented
8#26041955C212yesmaximal, complemented
9#26041924C211yesmaximal, characteristic, complemented
10#26041923C211yesmaximal, characteristic, complemented
11#26041919C212yesmaximal, complemented
12D4×C22⋊D181C211yesmaximal, characteristic, complemented
13#26041826C211yesmaximal, characteristic, complemented
14#26041813C211yesmaximal, characteristic, complemented
15#26041811C211yesmaximal, characteristic, complemented
16#26041809C212yesmaximal, complemented
17#26041790C212yesmaximal, complemented
18#26041788C212yesmaximal, complemented
19C4×#15668449C211yesmaximal, characteristic, complemented
20C4×#15668448C211yesmaximal, characteristic, complemented
21C2×C4×C22⋊D181C212yesmaximal, complemented
22C4×D4×D181C211yesmaximal, characteristic, complemented
23C2×C4×D4×C181C211yesmaximal, characteristic, complemented
24C2×#15668449C2211yescharacteristic
25C2×#15668449C2212yescomplemented
26C2×#15668448C2211yescharacteristic
27C22×C22⋊D181C2212yes—
28C2×D4×D181C2211yescharacteristic
29C22×C4×D181C2212yescomplemented
30#19153815C2211yescharacteristic, complemented
31#19153812C2211yescharacteristic
32#19153811C2212yescomplemented
33#19153810C2212yescomplemented
34#19153809C2212yescomplemented
35#19153809C2212yescomplemented
36#19153808C2211yescharacteristic, complemented
37#19153807C2211yescharacteristic, complemented
38#19153806C2212yescomplemented
39#19153804C2211yescharacteristic, complemented
40#19153803C2211yescharacteristic, complemented
41#19153802C2212yescomplemented
42#19153802C2212yescomplemented
43#19153801C2212yescomplemented
44#19153800C2212yescomplemented
45#19153799C2212yescomplemented
46#19153799C2212yescomplemented
47#19153799C2212yescomplemented
48#19153798C2212yescomplemented
49#19153798C2212yescomplemented
50#19153797C2212yescomplemented
51#19153796C2211yescharacteristic, complemented
52#19153795C2211yescharacteristic, complemented
53#19153795C2212yescomplemented
54#19153795C2212yescomplemented
55#19153794C2212yescomplemented
56#19153793C2212yescomplemented
57#19153793C2212yescomplemented
58#19153791C2211yescharacteristic, complemented
59#19153790C2211yescharacteristic
60#19153790C2212yescomplemented
61#19153790C2212yescomplemented
62#19153789C2212yescomplemented
63#19153789C2212yescomplemented
64#19153788C2212yes—
65#19153788C2212yescomplemented
66#19153787C2211yescharacteristic
67#19153787C2211yescharacteristic, complemented
68#19153786C2212yescomplemented
69#19153785C2212yes—
70#19153785C2212yescomplemented
71#19153784C2212yes—
72C4×Dic362C2211yescharacteristic, complemented
73C4×Dic362C2211yescharacteristic, complemented
74C4×Dic362C2211yescharacteristic, complemented
75#19153781C2211yescharacteristic, complemented
76C4×D724C2211yescharacteristic, complemented
77C4×D724C2211yescharacteristic, complemented
78C4×D724C2211yescharacteristic, complemented
79D4×Dic181C2211yescharacteristic
80D4×Dic181C2211yescharacteristic
81#19153778C2211yescharacteristic, complemented
82C4×C22⋊D181C2211yescharacteristic
83C4×C22⋊D181C2212yes—
84C4×C22⋊D181C2211yescharacteristic
85C4×C22⋊D181C2211yescharacteristic, complemented
86C4×C22⋊D181C2212yescomplemented
87C4×C22⋊D181C2212yescomplemented
88C4×C22⋊D181C2212yescomplemented
89C4×C22⋊D181C2212yescomplemented
90C4×C22⋊D181C2212yescomplemented
91C4×C22⋊D181C2212yescomplemented
92C4×C22⋊D181C2212yescomplemented
93C4×C22⋊D181C2212yescomplemented
94C4×C22⋊D181C2211yescharacteristic, complemented
95#19153776C2212yescomplemented
96#19153776C2212yescomplemented
97#19153775C2211yescharacteristic, complemented
98#19153775C2212yescomplemented
99#19153774C2211yescharacteristic, complemented
100#19153773C2211yescharacteristic, complemented
101#19153773C2211yescharacteristic, complemented
102#19153773C2212yescomplemented
103#19153772C2212yescomplemented
104C2×#15668428C2212yescomplemented
105C4⋊C4×D181C2211yescharacteristic, complemented
106C2×C22⋊Dic181C2212yescomplemented
107C2×#15668426C2212yescomplemented
108C22⋊C4×D181C2212yescomplemented
109C2×C4×Dic181C2212yescomplemented
110C42×D181C2211yescharacteristic, complemented
111C42×D181C2211yescharacteristic, complemented
112C22×D4×C181C2211yescharacteristic
113C23×C4×C181C2212yescomplemented
114C4×D4×C181C2211yescharacteristic
115C4×D4×C181C2211yescharacteristic
116C4×D4×C181C2212yescomplemented
117C4×D4×C181C2211yescharacteristic, complemented
118C4×D4×C181C2212yescomplemented
119C4×D4×C181C2211yescharacteristic, complemented
120C2×C4⋊C4×C181C2211yescharacteristic, complemented
121C2×C22⋊C4×C181C2212yescomplemented
122C2×C42×C181C2211yescharacteristic, complemented
123C23×D181C2312yes—
124#15668449—24no—
125#15668449—44no—
126#15668448—24no—
127C2×Dic362C2311yescharacteristic
128C2×Dic362C2311yescharacteristic
129C2×Dic362C2312yes—
130C2×D724C2311yescharacteristic
131C2×D724C2311yescharacteristic
132C2×D724C2312yes—
133C2×C22⋊D181—28no—
134C2×C22⋊D181C2312yes—
135C2×C22⋊D181C2312yes—
136C2×C22⋊D181C2312yes—
137C2×C22⋊D181C2312yes—
138C2×C22⋊D181C2311yescharacteristic
139C2×C22⋊D181C2312yes—
140C2×C22⋊D181C2312yes—
141C2×C22⋊D181C2312yes—
142C2×C22⋊D181C2311yescharacteristic
143D4×D181—24no—
144C22×Dic181C2312yes—
145C22×Dic181C2312yes—
146C22×Dic181C2312yes—
147C2×C4×D181—44no—
148C2×C4×D181C2311yescharacteristic
149C2×C4×D181C2311yescharacteristic
150C2×C4×D181C2311yescharacteristic
151C2×C4×D181C2311yescharacteristic
152C2×C4×D181C2311yescharacteristic
153C2×C4×D181C2311yescharacteristic
154C2×C4×D181C2312yes—
155C2×C4×D181C2312yes—
156C2×C4×D181C2312yes—
157C4⋊Dic181C2311yescharacteristic
158C4⋊Dic181C2311yescharacteristic
159C4⋊Dic181C2311yescharacteristic
160C4⋊Dic181C2311yescharacteristic
161C4⋊Dic181C2312yes—
162C4⋊Dic181C2312yes—
163#15668428C2312yes—
164#15668428C2311yescharacteristic
165#15668428C2312yes—
166#15668428C2312yes—
167#15668428C2312yes—
168#15668428C2312yes—
169#15668428C2312yes—
170#15668428C2311yescharacteristic
171#15668428C2311yescharacteristic
172#15668428C2311yescharacteristic
173#15668428C2312yes—
174#15668428C2312yes—
175C22⋊Dic181C2312yes—
176C22⋊Dic181C2311yescharacteristic
177C22⋊Dic181C2312yes—
178C22⋊Dic181C2312yes—
179C22⋊Dic181C2312yes—
180C22⋊Dic181C2312yes—
181C22⋊Dic181C2311yescharacteristic
182C22⋊Dic181C2312yes—
183C22⋊Dic181C2312yes—
184#15668426C2312yes—
185#15668426C2312yes—
186#15668426C2311yescharacteristic
187#15668426C2312yes—
188#15668426C2312yes—
189#15668426C2312yes—
190#15668426C2311yescharacteristic
191#15668426C2311yescharacteristic
192#15668426C2311yescharacteristic
193#15668426C2312yes—
194#15668426C2312yes—
195#15668426C2312yes—
196C4×Dic181C2311yescharacteristic
197C4×Dic181C2311yescharacteristic
198C4×Dic181C2311yescharacteristic
199C4×Dic181C2311yescharacteristic
200C4×Dic181C2311yescharacteristic
201C4×Dic181C2311yescharacteristic
202C4×Dic181C2312yes—
203C4×Dic181C2312yes—
204C4×Dic181C2312yes—
205C24×C181C2312yes—
206C2×D4×C181—24no—
207C2×D4×C181C2312yes—
208C2×D4×C181C2311yescharacteristic
209C2×D4×C181C2311yescharacteristic
210C22×C4×C181—44no—
211C22×C4×C181C2311yescharacteristic
212C22×C4×C181C2311yescharacteristic
213C22×C4×C181C2311yescharacteristic
214C22×C4×C181C2312yes—
215C22×C4×C181C2312yes—
216C22×C4×C181C2312yes—
217C22×C4×C181C2312yes—
218C22×C4×C181C2312yes—
219C4⋊C4×C181C2311yescharacteristic
220C4⋊C4×C181C2311yescharacteristic
221C4⋊C4×C181C2312yes—
222C22⋊C4×C181C2312yes—
223C22⋊C4×C181C2312yes—
224C22⋊C4×C181C2312yes—
225C22⋊C4×C181C2312yes—
226C42×C181C2311yescharacteristic
227C42×C181C2311yescharacteristic
228C42×C181C2311yescharacteristic
229C42×C181C2311yescharacteristic
230C22×D181—24no—
231C22×D181—24no—
232C22×D181—42no—
233C22×D181C2412yes—
234C22×D181C2411yescharacteristic
235C22×D181C2411yescharacteristic
236Dic362—22no—
237Dic362—22no—
238Dic362—42no—
239D724—22no—
240D724—22no—
241D724—42no—
242C22⋊D181—24no—
243C22⋊D181—24no—
244C22⋊D181—24no—
245C22⋊D181—22no—
246C22⋊D181—24no—
247C22⋊D181—24no—
248C22⋊D181—42no—
249C22⋊D181—42no—
250C22⋊D181#4114yescomplemented
251C2×Dic181—24no—
252C2×Dic181—24no—
253C2×Dic181—42no—
254C2×Dic181C2411yescharacteristic
255C2×Dic181C2412yes—
256C2×Dic181C2411yescharacteristic
257C2×Dic181C2412yes—
258C2×Dic181C2411yescharacteristic
259C2×Dic181C2411yescharacteristic
260C2×Dic181C2411yescharacteristic
261C2×Dic181C2412yes—
262C2×Dic181C2411yescharacteristic
263C4×D181—22no—
264C4×D181—22no—
265C4×D181—22no—
266C4×D181—22no—
267C4×D181—24no—
268C4×D181—22no—
269C4×D181—22no—
270C4×D181—42no—
271C4×D181—42no—
272C23×C181—24no—
273C23×C181—24no—
274C23×C181—42no—
275C23×C181C2412yes—
276C23×C181C2412yes—
277C23×C181C2411yescharacteristic
278D4×C181—24no—
279D4×C181—22no—
280D4×C181#4114yescomplemented
281C2×C4×C181—22no—
282C2×C4×C181—22no—
283C2×C4×C181—22no—
284C2×C4×C181—24no—
285C2×C4×C181—24no—
286C2×C4×C181—42no—
287C2×C4×C181—42no—
288C2×C4×C181—42no—
289C2×C4×C181C2411yescharacteristic
290C2×C4×C181C2411yescharacteristic
291C2×C4×C181C2411yescharacteristic
292C2×C4×C181C2411yescharacteristic
293C2×C4×C181C2412yes—
294C2×C4×C181C2412yes—
295C2×C4×C181C2411yescharacteristic
296C2×C4×C181C2411yescharacteristic
297C22×C181—21no—
298C22×C181—22no—
299C22×C181—21no—
300C22×C181—22no—
301C22×C181—22no—
302C22×C181—22no—
303C22×C181—22no—
304C22×C181—48no—
305C22×C181C2×#4112yes—
306C22×C181C2×#4114yes—
307C22×C181C2511yescharacteristic
308C2×D181—21no—
309C2×D181—21no—
310C2×D181—21no—
311C2×D181—21no—
312C2×D181—22no—
313C2×D181—22no—
314C2×D181—22no—
315C2×D181—21no—
316C2×D181—48no—
317C2×D181C2×#4112yes—
318C4×C181—21no—
319C4×C181—21no—
320C4×C181—21no—
321C4×C181—21no—
322C4×C181—22no—
323C4×C181—22no—
324C4×C181C2×#4112yes—
325C4×C181H(5,𝔽2)12yes—
326Dic181—21no—
327Dic181—21no—
328Dic181—21no—
329Dic181—22no—
330Dic181—22no—
331Dic181—21no—
332Dic181—22no—
333Dic181—21no—
334Dic181C2×#4112yes—
335C2×C181—24no—
336C2×C181—22no—
337C2×C181—42no—
338C2×C181C22×#4111yescharacteristic
339C2×C181C22×#4111yescharacteristic
340C2×C181C2×H(5,𝔽2)11yescharacteristic
341D181—22no—
342D181—41no—
343D181—42no—
344C181#348111yescharacteristic, complemented, Sylow
345#3481—1811nomaximal, Sylow
346#559—1811no—
347#554—1811no—
348#554—1811no—
349#553—1812no—
350#553—1811no—
351#553—1811no—
352#551—1812no—
353#551—1812no—
354#546—1811no—
355#546—1811no—
356#546—1812no—
357D42—1811no—
358#532—1811no—
359#529—1812no—
360#529—1811no—
361#529—1811no—
362#525—1812no—
363#525—1812no—
364C4×#41—1811no—
365C4×#41—1811no—
366C2×C4×D4—1812no—
367C2×C4×D4—1811no—
368C2×C4×D4D18111yescharacteristic, complemented
369C2×#41—1811no—
370C2×#41—1811no—
371C2×#41—1812no—
372C22×D4—1812no—
373C22×D4—1811no—
374C22×D4C2×D18111yescharacteristic
375C23×C4—1812no—
376C23×C4C2×D18112yescomplemented
377C4⋊Q8—1811no—
378#127—1811no—
379#126—1812no—
380#126—1812no—
381#126—1812no—
382#126—1812no—
383#125—1812no—
384#125—1811no—
385#125—1811no—
386#124—1811no—
387#124—1812no—
388#124—1812no—
389#124—1811no—
390#123—1812no—
391#123—1812no—
392#123—1812no—
393#123—1812no—
394#123—1812no—
395#123—1812no—
396#123—1812no—
397#123—1812no—
398C22⋊Q8—1812no—
399C22⋊Q8—1812no—
400C22⋊Q8—1811no—
401C22⋊Q8—1812no—
402C22⋊Q8—1811no—
403C22⋊Q8—1812no—
404C22⋊Q8—1812no—
405#121—1812no—
406#121—1811no—
407#121—1812no—
408#121—1811no—
409#121—1812no—
410#121—1812no—
411#121—1811no—
412#121—1811no—
413#121—1812no—
414#121—1812no—
415#120—1812no—
416#120—1812no—
417#120—1812no—
418#120—1812no—
419C4×Q8—1811no—
420C4×Q8—1811no—
421C4×Q8—1811no—
422C4×Q8—1811no—
423C4×D4—1811no—
424C4×D4—1811no—
425C4×D4—1811no—
426C4×D4—1812no—
427C4×D4—1812no—
428C4×D4—1812no—
429C4×D4—1812no—
430C4×D4—1812no—
431C4×D4—1812no—
432C4×D4—1812no—
433C4×D4—1812no—
434C4×D4—1812no—
435C4×D4—1811no—
436C4×D4—1811no—
437C4×D4—1811no—
438C4×D4—1811no—
439C4×D4—1812no—
440C4×D4—1812no—
441C4×D4—1811no—
442C4×D4—1811no—
443C4×D4—1811no—
444C4×D4C2×D18111yescharacteristic
445C4×D4C2×D18111yescharacteristic
446C4×D4C2×D18112yescomplemented
447C4×D4C2×D18111yescharacteristic, complemented
448C4×D4C2×D18112yescomplemented
449C4×D4C2×D18111yescharacteristic, complemented
450#117—1811no—
451#117—1812no—
452#117—1811no—
453#117—1812no—
454#117—1811no—
455#117—1811no—
456#117—1812no—
457C2×C4⋊C4—1812no—
458C2×C4⋊C4—1811no—
459C2×C4⋊C4C2×D18111yescharacteristic, complemented
460C2×C22⋊C4—1812no—
461C2×C22⋊C4—1812no—
462C2×C22⋊C4—1812no—
463C2×C22⋊C4C2×D18112yescomplemented
464C2×C42—1812no—
465C2×C42—1811no—
466C2×C42—1811no—
467C2×C42C2×D18111yescharacteristic, complemented
468C24—1812no—
469C24C22×D18112yes—
470#41—3624no—
471#41—3624no—
472#41—7244no—
473C2×Q8—1811no—
474C2×Q8—1811no—
475C2×Q8—1812no—
476C2×D4—24no—
477C2×D4—3628no—
478C2×D4—3624no—
479C2×D4—1811no—
480C2×D4—1812no—
481C2×D4—1812no—
482C2×D4—1812no—
483C2×D4—1812no—
484C2×D4—1812no—
485C2×D4—1811no—
486C2×D4—1812no—
487C2×D4—1812no—
488C2×D4—1811no—
489C2×D4—1811no—
490C2×D4—1812no—
491C2×D4C22×D18112yes—
492C2×D4C22×D18111yescharacteristic
493C2×D4C22×D18111yescharacteristic
494C22×C4—44no—
495C22×C4—1812no—
496C22×C4—1812no—
497C22×C4—1811no—
498C22×C4—1811no—
499C22×C4—1811no—
500C22×C4—1811no—
501C22×C4—1811no—
502C22×C4—1811no—
503C22×C4—1812no—
504C22×C4—1812no—
505C22×C4—1812no—
506C22×C4—1812no—
507C22×C4—7244no—
508C22×C4C22×D18111yescharacteristic
509C22×C4C22×D18111yescharacteristic
510C22×C4C22×D18112yes—
511C22×C4C22×D18111yescharacteristic
512C22×C4C22×D18112yes—
513C22×C4C22×D18112yes—
514C22×C4C22×D18112yes—
515C22×C4C22×D18112yes—
516C4⋊C4—1811no—
517C4⋊C4—1812no—
518C4⋊C4—1811no—
519C4⋊C4—1812no—
520C4⋊C4—1812no—
521C4⋊C4—1812no—
522C4⋊C4—1811no—
523C4⋊C4—1811no—
524C4⋊C4—1812no—
525C4⋊C4—1811no—
526C4⋊C4—1811no—
527C4⋊C4—1811no—
528C4⋊C4—1812no—
529C4⋊C4—1811no—
530C4⋊C4—1812no—
531C4⋊C4—1812no—
532C4⋊C4—1812no—
533C4⋊C4—1812no—
534C4⋊C4C22×D18111yescharacteristic
535C4⋊C4C22×D18111yescharacteristic
536C4⋊C4C22×D18112yes—
537C22⋊C4—1811no—
538C22⋊C4—1812no—
539C22⋊C4—1812no—
540C22⋊C4—1812no—
541C22⋊C4—1812no—
542C22⋊C4—1811no—
543C22⋊C4—1812no—
544C22⋊C4—1812no—
545C22⋊C4—1812no—
546C22⋊C4—1811no—
547C22⋊C4—1812no—
548C22⋊C4—1812no—
549C22⋊C4—1812no—
550C22⋊C4—1812no—
551C22⋊C4—1812no—
552C22⋊C4—1811no—
553C22⋊C4—1812no—
554C22⋊C4—1811no—
555C22⋊C4—1811no—
556C22⋊C4—1812no—
557C22⋊C4—1812no—
558C22⋊C4C22×D18112yes—
559C22⋊C4C22×D18112yes—
560C22⋊C4C22×D18112yes—
561C22⋊C4C22×D18112yes—
562C42—1811no—
563C42—1812no—
564C42—1811no—
565C42—1811no—
566C42—1812no—
567C42—1811no—
568C42—1811no—
569C42—1812no—
570C42—1811no—
571C42C22×D18111yescharacteristic
572C42C22×D18111yescharacteristic
573C42C22×D18111yescharacteristic
574C42C22×D18111yescharacteristic
575C23—24no—
576C23—24no—
577C23—42no—
578C23—3624no—
579C23—3624no—
580C23—1812no—
581C23—1811no—
582C23—1811no—
583C23—7242no—
584C23C23×D18112yes—
585C23C23×D18111yescharacteristic
586C23C23×D18112yes—
587Q8—3622no—
588Q8—3622no—
589Q8—7242no—
590D4—24no—
591D4—22no—
592D4—3622no—
593D4—3624no—
594D4—3624no—
595D4—3622no—
596D4—3624no—
597D4—3624no—
598D4—3624no—
599D4—3622no—
600D4—1814no—
601D4—7242no—
602D4—7242no—
603D4—7242no—
604D4#1566844914yescomplemented
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—3622no—
614C2×C4—3622no—
615C2×C4—3624no—
616C2×C4—3624no—
617C2×C4—3622no—
618C2×C4—3622no—
619C2×C4—3622no—
620C2×C4—3624no—
621C2×C4—3622no—
622C2×C4—1811no—
623C2×C4—1811no—
624C2×C4—1812no—
625C2×C4—1812no—
626C2×C4—1811no—
627C2×C4—1811no—
628C2×C4—1811no—
629C2×C4—1812no—
630C2×C4—1811no—
631C2×C4—7242no—
632C2×C4—7242no—
633C2×C4—7242no—
634C2×C4C23×D18111yescharacteristic
635C2×C4C23×D18112yes—
636C2×C4C23×D18111yescharacteristic
637C2×C4C23×D18111yescharacteristic
638C2×C4C23×D18111yescharacteristic
639C2×C4C23×D18112yes—
640C2×C4C23×D18111yescharacteristic
641C2×C4C23×D18111yescharacteristic
642C22—22no—
643C22—21no—
644C22—21no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—48no—
650C22—3621no—
651C22—3621no—
652C22—3621no—
653C22—3622no—
654C22—3621no—
655C22—3622no—
656C22—3622no—
657C22—3621no—
658C22—1812no—
659C22—7248no—
660C22#41×D18112yes—
661C22C2×#1566844914yes—
662C22C24×D18111yescharacteristic
663C4—21no—
664C4—21no—
665C4—21no—
666C4—21no—
667C4—22no—
668C4—22no—
669C4—3622no—
670C4—3621no—
671C4—3621no—
672C4—3621no—
673C4—3622no—
674C4—3621no—
675C4—3622no—
676C4—3621no—
677C4—1812no—
678C4C2×#1566844912yes—
679C4#1915386112yes—
680C2—22no—
681C2—24no—
682C2—42no—
683C2—3622no—
684C2—7242no—
685C2—7241no—
686C2C2×#41×D18111yescharacteristic
687C2C22×#1566844911yescharacteristic
688C2C2×#1915386111yescharacteristic
subgroupG/H
centerC2×C4C23×D181
commutator, socle, cosocleC22×C181C25
FrattiniC22C24×D181
FittingC2×C4×D4×C181C2
hypercenterC2×C4×D4D181
hypocenterC181#3481
LCSG ▷ C22×C181 ▷ C181
UCSC1 ◁ C2×C4 ◁ C2×C4×D4

Complements

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

NH ≅ G/Ntype
1. #26042012C2semidirect
2. #26041988C2semidirect
3. #26041984C2semidirect
4. #26041979C2semidirect
5. #26041978C2semidirect
6. #26041977C2semidirect
7. #26041958C2semidirect
8. #26041955C2semidirect
9. #26041924C2semidirect
10. #26041923C2semidirect
11. #26041919C2semidirect
12. D4×C22⋊D181C2semidirect
13. #26041826C2semidirect
14. #26041813C2semidirect
15. #26041811C2semidirect
16. #26041809C2semidirect
17. #26041790C2semidirect
18. #26041788C2semidirect
19. C4×#15668449C2semidirect
20. C4×#15668448C2semidirect
21. C2×C4×C22⋊D181C2semidirect
22. C4×D4×D181C2semidirect
23. C2×C4×D4×C181C2semidirect
25. C2×#15668449C22semidirect
29. C22×C4×D181C22semidirect
30. #19153815C22semidirect
32. #19153811C22semidirect
33. #19153810C22semidirect
34. #19153809C22semidirect
35. #19153809C22semidirect
36. #19153808C22semidirect
37. #19153807C22semidirect
38. #19153806C22semidirect
39. #19153804C22semidirect
40. #19153803C22semidirect
41. #19153802C22semidirect
42. #19153802C22semidirect
43. #19153801C22semidirect
44. #19153800C22semidirect
45. #19153799C22semidirect
46. #19153799C22semidirect
47. #19153799C22semidirect
48. #19153798C22semidirect
49. #19153798C22semidirect
50. #19153797C22semidirect
51. #19153796C22semidirect
52. #19153795C22semidirect
53. #19153795C22semidirect
54. #19153795C22semidirect
55. #19153794C22semidirect
56. #19153793C22semidirect
57. #19153793C22semidirect
58. #19153791C22semidirect
60. #19153790C22semidirect
61. #19153790C22semidirect
62. #19153789C22semidirect
63. #19153789C22semidirect
65. #19153788C22semidirect
67. #19153787C22semidirect
68. #19153786C22semidirect
70. #19153785C22semidirect
72. C4×Dic362C22semidirect
73. C4×Dic362C22semidirect
74. C4×Dic362C22semidirect
75. #19153781C22semidirect
76. C4×D724C22semidirect
77. C4×D724C22semidirect
78. C4×D724C22semidirect
81. #19153778C22semidirect
85. C4×C22⋊D181C22semidirect
86. C4×C22⋊D181C22semidirect
87. C4×C22⋊D181C22semidirect
88. C4×C22⋊D181C22semidirect
89. C4×C22⋊D181C22semidirect
90. C4×C22⋊D181C22semidirect
91. C4×C22⋊D181C22semidirect
92. C4×C22⋊D181C22semidirect
93. C4×C22⋊D181C22semidirect
94. C4×C22⋊D181C22semidirect
95. #19153776C22semidirect
96. #19153776C22semidirect
97. #19153775C22semidirect
98. #19153775C22semidirect
99. #19153774C22semidirect
100. #19153773C22semidirect
101. #19153773C22semidirect
102. #19153773C22semidirect
103. #19153772C22semidirect
104. C2×#15668428C22semidirect
105. C4⋊C4×D181C22semidirect
106. C2×C22⋊Dic181C22semidirect
107. C2×#15668426C22semidirect
108. C22⋊C4×D181C22semidirect
109. C2×C4×Dic181C22semidirect
110. C42×D181C22semidirect
111. C42×D181C22semidirect
113. C23×C4×C181C22semidirect
116. C4×D4×C181C22semidirect
117. C4×D4×C181C22semidirect
118. C4×D4×C181C22semidirect
119. C4×D4×C181C22semidirect
120. C2×C4⋊C4×C181C22semidirect
121. C2×C22⋊C4×C181C22semidirect
122. C2×C42×C181C22semidirect
250. C22⋊D181#41semidirect
280. D4×C181#41semidirect
344. C181#3481semidirect
368. C2×C4×D4D181semidirect
376. C23×C4C2×D181semidirect
446. C4×D4C2×D181semidirect
447. C4×D4C2×D181semidirect
448. C4×D4C2×D181semidirect
449. C4×D4C2×D181semidirect
459. C2×C4⋊C4C2×D181semidirect
463. C2×C22⋊C4C2×D181semidirect
467. C2×C42C2×D181semidirect
604. D4#15668449semidirect

Maximal subgroups

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

subgroupindex
#260420122
#260419882
#260419842
#260419792
#260419782
#260419772
#260419582
#260419552
#260419242
#260419232
#260419192
D4×C22⋊D1812
#260418262
#260418132
#260418112
#260418092
#260417902
#260417882
C4×#156684492
C4×#156684482
C2×C4×C22⋊D1812
C4×D4×D1812
C2×C4×D4×C1812
#3481181