Finite Group Databasebeta

← #14770621

Subgroups — #14770621

Order 2816.

1162 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623090C211yesmaximal, characteristic
2C2×#10622314C211yesmaximal, characteristic, complemented
3C4⋊C4×Dic22C211yesmaximal, characteristic, complemented
4#13069548C211yesmaximal, characteristic, complemented
5#13069547C211yesmaximal, characteristic, complemented
6#13069541C211yesmaximal, characteristic
7#13069432C211yesmaximal, characteristic, complemented
8#13069431C211yesmaximal, characteristic, complemented
9#13069420C211yesmaximal, characteristic
10#13068620C211yesmaximal, characteristic, complemented
11#13068616C211yesmaximal, characteristic, complemented
12#13068615C211yesmaximal, characteristic, complemented
13#13068440C211yesmaximal, characteristic, complemented
14#13068435C211yesmaximal, characteristic, complemented
15C11×#1762C211yesmaximal, characteristic, complemented
16C2×C4×D4×C11C2211yescharacteristic
17C2×#66993C2211yescharacteristic
18C2×#66989C2211yescharacteristic
19C2×#66982—21no—
20C2×C4×C22⋊D11—21no—
21#10623090—24no—
22#10623090C418yescomplemented
23C2×#66946C2211yescharacteristic
24C2×#66940C2211yescharacteristic
25C2×#66938—21no—
26C2×#66936—21no—
27C2×#66928C2211yescharacteristic
28C2×C4×Dic22—21no—
29C2×C4×Dic22C2211yescharacteristic
30C2×C11×#102C2211yescharacteristic
31C2×C11×#102C2211yescharacteristic
32C2×C11×#97C2211yescharacteristic
33C4×C11×C4⋊C4C2211yescharacteristic
34C2×#66896C2211yescharacteristic
35C2×#66896C2211yescharacteristic
36C2×#66885C2211yescharacteristic
37C2×#66885C2211yescharacteristic
38C2×#66880C2211yescharacteristic
39C2×#66880C2211yescharacteristic
40C2×#66879C2211yescharacteristic
41C2×Dic11⋊C8C2211yescharacteristic
42C2×Dic11⋊C8C2211yescharacteristic
43C2×C8×Dic11C2211yescharacteristic
44#10622589C2211yescharacteristic
45#10622589C2211yescharacteristic
46C4⋊C4×Dic11C2211yescharacteristic
47C4⋊C4×Dic11C2211yescharacteristic
48C2×#66874C2211yescharacteristic
49C2×#66874C2211yescharacteristic
50C2×#66873C2211yescharacteristic
51C2×#66873C2211yescharacteristic
52#10622548C2211yescharacteristic
53#10622541—21no—
54C2×C4⋊(C11⋊C8)C2211yescharacteristic
55#10622314—24no—
56#10622260—21no—
57#10622260—21no—
58C11×#340C2211yescharacteristic
59C11×#340C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C22×D4×C11C2311yescharacteristic
63C23×C4×C11—21no—
64C22×C22⋊D11—21no—
65C22×C22⋊D11—21no—
66C22×D44C2311yescharacteristic
67C22×C4×D11—21no—
68C22×Dic22D411yescharacteristic
69C22×Dic22C2311yescharacteristic
70C22×C8×C11C2311yescharacteristic
71C22×C8×C11C2311yescharacteristic
72C4×D4×C11—22no—
73C4×D4×C11C2×C414yes—
74C2×C11×C4⋊C4C2311yescharacteristic
75C2×C11×C4⋊C4C2311yescharacteristic
76C2×C11×C4⋊C4C2311yescharacteristic
77C2×C11×C22⋊C4—21no—
78C2×C42×C11—21no—
79C2×C42×C11C2311yescharacteristic
80C2×C22⋊Dic11—21no—
81C2×C22⋊Dic11—21no—
82#66993—22no—
83#66993C2×C414yes—
84#66989—22no—
85#66989C2×C414yes—
86#66982—28no—
87C4×C22⋊D11—28no—
88C2×(C2×D11)⋊C4—21no—
89C2×(C2×D11)⋊C4—21no—
90C2×(C2×D11)⋊C4—21no—
91C2×C4⋊Dic11—21no—
92C2×C4⋊Dic11—21no—
93C2×C4⋊Dic11D411yescharacteristic
94C2×C4⋊Dic11C2311yescharacteristic
95C2×C4⋊Dic11C2311yescharacteristic
96C2×Dic11⋊C4—21no—
97C2×Dic11⋊C4—21no—
98C2×Dic11⋊C4—21no—
99C2×Dic11⋊C4—21no—
100C2×Dic11⋊C4—21no—
101C2×Dic11⋊C4D411yescharacteristic
102C2×Dic11⋊C4D411yescharacteristic
103C2×C4×Dic11—21no—
104C2×C4×Dic11—21no—
105C2×C4×Dic11—21no—
106C2×C4×Dic11C2311yescharacteristic
107C2×C4×Dic11C2311yescharacteristic
108C22×C11⋊C8C2311yescharacteristic
109C22×C11⋊C8C2311yescharacteristic
110#66946—22no—
111#66946C2×C414yes—
112#66940—22no—
113#66940C2×C414yes—
114#66938—28no—
115#66936—28no—
116#66928—22no—
117#66928C2×C414yes—
118C4×Dic22—44no—
119C4×Dic22C2×C414yes—
120C4×Dic22D414yes—
121C11×#102—22no—
122C11×#102—22no—
123C11×#97—22no—
124C11×#95—21no—
125#66896—41no—
126#66896—41no—
127C11⋊#95—21no—
128C11⋊#95—21no—
129#66885—22no—
130#66885—41no—
131#66880—22no—
132#66880—41no—
133#66879—22no—
134Dic11⋊C8—22no—
135Dic11⋊C8—22no—
136C8×Dic11—22no—
137#66874—22no—
138#66874—41no—
139#66873—22no—
140#66873—41no—
141C4⋊(C11⋊C8)—22no—
142#22546—111nomaximal, Sylow
143C24×C11—21no—
144C23×D11—21no—
145C2×D4×C11—21no—
146C2×D4×C11—21no—
147C2×D4×C11—21no—
148C2×D4×C11—21no—
149C2×D4×C11—21no—
150C2×D4×C11C22×C412yes—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—24no—
154C22×C4×C11—21no—
155C22×C4×C11—81no—
156C22×C4×C11—81no—
157C22×C4×C11C2×D411yescharacteristic
158C22×C4×C11C2×D411yescharacteristic
159C22×C4×C11C2411yescharacteristic
160C2×C22⋊D11—24no—
161C2×C22⋊D11—24no—
162C2×C22⋊D11—42no—
163C2×C22⋊D11—42no—
164C2×C22⋊D11—81no—
165C2×C22⋊D11—81no—
166C22×Dic11—21no—
167C22×Dic11—21no—
168C22×Dic11—21no—
169C22×Dic11C2×D411yescharacteristic
170C22×Dic11C2×D411yescharacteristic
171C22×Dic11C2×D411yescharacteristic
172C22×Dic11C2×D411yescharacteristic
173C2×D44—21no—
174C2×D44—21no—
175C2×D44—21no—
176C2×D44—21no—
177C2×D44—21no—
178C2×D44C22×C412yes—
179C2×C4×D11—24no—
180C2×C4×D11—81no—
181C2×C4×D11—81no—
182C2×Dic22—22no—
183C2×Dic22—22no—
184C2×Dic22—21no—
185C2×Dic22—21no—
186C2×Dic22—21no—
187C2×Dic22—21no—
188C2×Dic22—21no—
189C2×Dic22C22⋊C414yes—
190C2×Dic22C22×C412yes—
191C2×C8×C11—21no—
192C2×C8×C11—21no—
193C2×C8×C11—21no—
194C2×C8×C11—21no—
195C2×C8×C11—21no—
196C2×C8×C11#4112yes—
197C11×C4⋊C4—21no—
198C11×C4⋊C4—21no—
199C11×C4⋊C4—21no—
200C11×C4⋊C4—21no—
201C11×C4⋊C4C22×C412yes—
202C11×C4⋊C4#4112yes—
203C11×C22⋊C4—24no—
204C42×C11—42no—
205C42×C11C22×C412yes—
206C42×C11C2×D412yes—
207C22⋊Dic11—24no—
208C22⋊Dic11—24no—
209(C2×D11)⋊C4—24no—
210(C2×D11)⋊C4—24no—
211(C2×D11)⋊C4—24no—
212C4⋊Dic11—21no—
213C4⋊Dic11—21no—
214C4⋊Dic11—21no—
215C4⋊Dic11—21no—
216C4⋊Dic11—42no—
217C4⋊Dic11—81no—
218C4⋊Dic11C22⋊C414yes—
219Dic11⋊C4—24no—
220Dic11⋊C4—42no—
221Dic11⋊C4—42no—
222Dic11⋊C4—81no—
223Dic11⋊C4—81no—
224Dic11⋊C4C22⋊C414yes—
225Dic11⋊C4C22⋊C414yes—
226C4×Dic11—24no—
227C4×Dic11—42no—
228C4×Dic11—42no—
229C4×Dic11C22×C412yes—
230C4×Dic11C22×C412yes—
231C4×Dic11C2×D412yes—
232C4×Dic11C2×D412yes—
233C2×C11⋊C8—21no—
234C2×C11⋊C8—21no—
235C2×C11⋊C8—21no—
236C2×C11⋊C8—21no—
237C2×C11⋊C8—21no—
238C2×C11⋊C8—21no—
239C2×#559—111no—
240C2×#446—111no—
241Q8×C4⋊C4—111no—
242#1983—111no—
243#1983—111no—
244#1982—111no—
245#1959—111no—
246#1959—111no—
247#1957—111no—
248#1803—111no—
249#1802—111no—
250#1802—111no—
251#1762—111no—
252#1762D1111yescharacteristic, complemented
253C4×#103—111no—
254C23×C11—22no—
255C23×C11—41no—
256C23×C11—41no—
257C23×C11—41no—
258C23×C11—41no—
259C23×C11—41no—
260C23×C11—41no—
261C23×C11C22×D411yescharacteristic
262C22×D11—22no—
263C22×D11—41no—
264C22×D11—41no—
265C22×D11—41no—
266C22×D11—41no—
267C22×D11—41no—
268C22×D11—41no—
269D4×C11—22no—
270D4×C11—22no—
271D4×C11—41no—
272D4×C11—41no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11—22no—
278C2×C4×C11—22no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
281C2×C4×C11—41no—
282C2×C4×C11—41no—
283C2×C4×C11—41no—
284C2×C4×C11—41no—
285C2×C4×C11—41no—
286C2×C4×C11—84no—
287C2×C4×C11C2×C22⋊C412yes—
288C2×C4×C11C2×C22⋊C412yes—
289C2×C4×C11C23×C411yescharacteristic
290C2×C4×C11C22×D411yescharacteristic
291C2×C4×C11C2×#4111yescharacteristic
292C2×C4×C11C2×#4111yescharacteristic
293C2×C4×C11H(5,𝔽2)11yescharacteristic
294C2×C4×C112−1+411yescharacteristic
295C22⋊D11—48no—
296C22⋊D11—84no—
297C2×Dic11—21no—
298C2×Dic11—21no—
299C2×Dic11—21no—
300C2×Dic11—21no—
301C2×Dic11—21no—
302C2×Dic11—21no—
303C2×Dic11—22no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11C2×C22⋊C412yes—
313C2×Dic11C2×C22⋊C412yes—
314C2×Dic11C2×C22⋊C412yes—
315C2×Dic11C2×C22⋊C412yes—
316C2×Dic11AGL(1,ℤ/8)12yes—
317C2×Dic11#13712yes—
318D44—22no—
319D44—22no—
320D44—41no—
321D44—41no—
322C4×D11—84no—
323Dic22—28no—
324Dic22—22no—
325Dic22—22no—
326Dic22—41no—
327Dic22—41no—
328C8×C11—22no—
329C8×C11—41no—
330C11⋊C8—41no—
331C11⋊C8—41no—
332#559—118no—
333#559—224no—
334C2×#127—111no—
335C2×#124—111no—
336C2×#124—111no—
337C2×#124—221no—
338C2×#123—221no—
339C2×#123—221no—
340C2×C4×Q8—111no—
341C2×C4×Q8—111no—
342C2×C4×Q8—221no—
343C2×C4×D4—111no—
344C2×C4×D4—221no—
345C2×C4×D4C2×D1111yescharacteristic
346#446—224no—
347C2×C4⋊C8—111no—
348C2×C4⋊C8—111no—
349C2×C4⋊C8—111no—
350C2×#103—111no—
351C2×#103—111no—
352C2×#103—111no—
353C2×#103—111no—
354C2×#102—111no—
355C2×#102—111no—
356C2×#102—111no—
357C2×#102—111no—
358C2×#102—111no—
359C2×#102—111no—
360C2×#102C2×D1111yescharacteristic
361C2×#102C2×D1111yescharacteristic
362C2×#97—111no—
363C2×#97C2×D1111yescharacteristic
364C2×C4×C8—111no—
365#389—221no—
366#389—221no—
367#389—221no—
368#384—111no—
369#384—111no—
370#384—111no—
371C4×C4⋊C4—111no—
372C4×C4⋊C4—111no—
373C4×C4⋊C4C2×D1111yescharacteristic
374#340—111no—
375#340—111no—
376#340C2×D1111yescharacteristic
377#340C2×D1111yescharacteristic
378C22×C11—42no—
379C22×C11—42no—
380C22×C11—42no—
381C22×C11—81no—
382C22×C11—81no—
383C22×C11—81no—
384C22×C11—81no—
385C22×C11C22×C22⋊C411yescharacteristic
386C22×C11#54811yescharacteristic
387C22×C11#55011yescharacteristic
388C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
389C22×C11C2×#13711yescharacteristic
390C22×C11#57611yescharacteristic
391C22×C11#57711yescharacteristic
392C2×D11—42no—
393C2×D11—42no—
394C2×D11—42no—
395C2×D11—81no—
396C2×D11—81no—
397C2×D11—81no—
398C2×D11—81no—
399C4×C11—22no—
400C4×C11—22no—
401C4×C11—42no—
402C4×C11—42no—
403C4×C11—81no—
404C4×C11C4×#4111yescharacteristic
405C4×C11#52011yescharacteristic
406C4×C11#54811yescharacteristic
407C4×C11#55011yescharacteristic
408Dic11—22no—
409Dic11—22no—
410Dic11—22no—
411Dic11—42no—
412Dic11—81no—
413Dic11—81no—
414Dic11#41714yes—
415C22×Q8—111no—
416C22×Q8—111no—
417C22×D4—111no—
418C22×D4—221no—
419C22×D4—221no—
420C22×D4C22×D1111yescharacteristic
421C23×C4—21no—
422C23×C4—221no—
423C22×C8—111no—
424C22×C8—111no—
425C22×C8C22×D1111yescharacteristic
426C22×C8C22×D1111yescharacteristic
427#127—114no—
428#127—222no—
429#124—114no—
430#124—114no—
431#124—222no—
432#124—228no—
433#124—222no—
434#123—228no—
435#123—228no—
436C4×Q8—114no—
437C4×Q8—114no—
438C4×Q8—114no—
439C4×Q8—222no—
440C4×Q8—444no—
441C4×D4—22no—
442C4×D4—114no—
443C4×D4—222no—
444C4×D4—228no—
445C4×D4C4×D1114yes—
446C2×C4⋊C4—111no—
447C2×C4⋊C4—111no—
448C2×C4⋊C4—111no—
449C2×C4⋊C4—111no—
450C2×C4⋊C4—111no—
451C2×C4⋊C4—221no—
452C2×C4⋊C4—221no—
453C2×C4⋊C4—221no—
454C2×C4⋊C4—221no—
455C2×C4⋊C4—221no—
456C2×C4⋊C4—221no—
457C2×C4⋊C4—221no—
458C2×C4⋊C4C22×D1111yescharacteristic
459C2×C4⋊C4C22×D1111yescharacteristic
460C2×C4⋊C4C22×D1111yescharacteristic
461C2×C22⋊C4—21no—
462C2×C22⋊C4—221no—
463C2×C22⋊C4—221no—
464C2×C22⋊C4—221no—
465C2×C22⋊C4—221no—
466C2×C22⋊C4—221no—
467C2×C42—21no—
468C2×C42—111no—
469C2×C42—111no—
470C2×C42—221no—
471C2×C42—221no—
472C2×C42—221no—
473C2×C42C22×D1111yescharacteristic
474C4⋊C8—222no—
475C4⋊C8—222no—
476C4⋊C8—222no—
477#103—222no—
478#103—222no—
479#103—441no—
480#103—441no—
481#102—22no—
482#102—22no—
483#102—222no—
484#102—222no—
485#102—441no—
486#102—441no—
487#102—441no—
488#102—441no—
489#97—22no—
490#97—222no—
491C4×C8—222no—
492#95—21no—
493#95—221no—
494#95—221no—
495C2×C11—82no—
496C2×C11#234111yescharacteristic
497C2×C11C2×#41711yescharacteristic
498C2×C11#289711yescharacteristic
499C2×C11#337311yescharacteristic
500C2×C11#337511yescharacteristic
501C2×C11#339911yescharacteristic
502C2×C11#340011yescharacteristic
503D11—82no—
504C24—21no—
505C24—221no—
506C2×Q8—114no—
507C2×Q8—112no—
508C2×Q8—222no—
509C2×Q8—222no—
510C2×Q8—221no—
511C2×Q8—221no—
512C2×Q8—221no—
513C2×Q8—221no—
514C2×Q8—221no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—112no—
521C2×D4—224no—
522C2×D4—224no—
523C2×D4—221no—
524C2×D4—221no—
525C2×D4—221no—
526C2×D4—221no—
527C2×D4—221no—
528C2×D4—442no—
529C2×D4—442no—
530C2×D4—881no—
531C2×D4—881no—
532C2×D4C2×C4×D1112yes—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—24no—
536C22×C4—21no—
537C22×C4—81no—
538C22×C4—81no—
539C22×C4—111no—
540C22×C4—111no—
541C22×C4—111no—
542C22×C4—111no—
543C22×C4—224no—
544C22×C4—221no—
545C22×C4—221no—
546C22×C4—221no—
547C22×C4—881no—
548C22×C4—881no—
549C22×C4D4×D1111yescharacteristic
550C22×C4D4×D1111yescharacteristic
551C22×C4C23×D1111yescharacteristic
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—221no—
558C2×C8—221no—
559C2×C8—221no—
560C2×C8—221no—
561C2×C8—221no—
562C2×C8—221no—
563C2×C8#433912yes—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—114no—
569C4⋊C4—114no—
570C4⋊C4—114no—
571C4⋊C4—224no—
572C4⋊C4—221no—
573C4⋊C4—221no—
574C4⋊C4—221no—
575C4⋊C4—221no—
576C4⋊C4—442no—
577C4⋊C4—442no—
578C4⋊C4—442no—
579C4⋊C4—881no—
580C4⋊C4—881no—
581C4⋊C4—881no—
582C4⋊C4C2×C4×D1112yes—
583C4⋊C4#433912yes—
584C22⋊C4—24no—
585C22⋊C4—224no—
586C22⋊C4—224no—
587C22⋊C4—224no—
588C22⋊C4—224no—
589C22⋊C4—224no—
590C42—42no—
591C42—112no—
592C42—112no—
593C42—112no—
594C42—112no—
595C42—224no—
596C42—442no—
597C42—442no—
598C42C2×C4×D1112yes—
599C42D4×D1112yes—
600C11#2254611yescharacteristic, complemented, Sylow
601C23—22no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—222no—
609C23—441no—
610C23—441no—
611C23—441no—
612C23—441no—
613C23—441no—
614C23—441no—
615C23C2×D4×D1111yescharacteristic
616Q8—228no—
617Q8—222no—
618Q8—222no—
619Q8—441no—
620Q8—441no—
621D4—22no—
622D4—22no—
623D4—41no—
624D4—41no—
625D4—222no—
626D4—222no—
627D4—448no—
628D4—441no—
629D4—441no—
630D4—884no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—84no—
645C2×C4—112no—
646C2×C4—112no—
647C2×C4—112no—
648C2×C4—112no—
649C2×C4—112no—
650C2×C4—112no—
651C2×C4—221no—
652C2×C4—221no—
653C2×C4—221no—
654C2×C4—221no—
655C2×C4—221no—
656C2×C4—221no—
657C2×C4—222no—
658C2×C4—441no—
659C2×C4—441no—
660C2×C4—441no—
661C2×C4—441no—
662C2×C4—441no—
663C2×C4—441no—
664C2×C4—441no—
665C2×C4—441no—
666C2×C4—884no—
667C2×C4C22⋊C4×D1112yes—
668C2×C4C22⋊C4×D1112yes—
669C2×C4C22×C4×D1111yescharacteristic
670C2×C4C2×#433911yescharacteristic
671C2×C4C2×#433911yescharacteristic
672C2×C4C2×D4×D1111yescharacteristic
673C2×C4#6704211yescharacteristic
674C2×C4#6704311yescharacteristic
675C8—22no—
676C8—41no—
677C8—441no—
678C8—441no—
679C22—42no—
680C22—42no—
681C22—42no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—442no—
687C22—442no—
688C22—442no—
689C22—881no—
690C22—881no—
691C22—881no—
692C22—881no—
693C22C2×C22⋊C4×D1111yescharacteristic
694C22#1062308311yescharacteristic
695C22#1062308411yescharacteristic
696C22D11×AGL(1,ℤ/8)11yescharacteristic
697C22#1062330511yescharacteristic
698C22#1062330611yescharacteristic
699C22D11×#13711yescharacteristic
700C4—22no—
701C4—22no—
702C4—42no—
703C4—42no—
704C4—81no—
705C4—114no—
706C4—222no—
707C4—222no—
708C4—222no—
709C4—442no—
710C4—881no—
711C4—881no—
712C4C4×#433911yescharacteristic
713C4#1062305411yescharacteristic
714C4#1062308311yescharacteristic
715C4#1062308411yescharacteristic
716C2—82no—
717C2—882no—
718C2#1307145611yescharacteristic
719C2D11×#41711yescharacteristic
720C2#1307714111yescharacteristic
721C2#1308140911yescharacteristic
722C2#1308143111yescharacteristic
723C2#1308165911yescharacteristic
724C2#1308167011yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1762C2
socleC23×C11C22×D4
prime radicalC2×#66993C22
cosocleC22×C4×C11C24
hypercenter#1762D11
hypocenterC11#22546
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1762

Complements

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

NH ≅ G/Ntype
2. C2×#10622314C2semidirect
3. C4⋊C4×Dic22C2semidirect
4. #13069548C2semidirect
5. #13069547C2semidirect
7. #13069432C2semidirect
8. #13069431C2semidirect
10. #13068620C2semidirect
11. #13068616C2semidirect
12. #13068615C2semidirect
13. #13068440C2semidirect
14. #13068435C2semidirect
15. C11×#1762C2semidirect
22. #10623090C4semidirect
252. #1762D11semidirect
600. C11#22546semidirect

Maximal subgroups

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

subgroupindex
C2×#106230902
C2×#106223142
C4⋊C4×Dic222
#130695482
#130695472
#130695412
#130694322
#130694312
#130694202
#130686202
#130686162
#130686152
#130684402
#130684352
C11×#17622
#2254611