Finite Group Databasebeta

← #14788785

Subgroups — #14788785

Order 2816.

1076 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622667C211yesmaximal, characteristic
2C2×#10622643C211yesmaximal, characteristic, complemented
3#13073986C211yesmaximal, characteristic, complemented
4#13069859C211yesmaximal, characteristic, complemented
5#13069852C211yesmaximal, characteristic
6#13069716C211yesmaximal, characteristic, complemented
7#13069710C211yesmaximal, characteristic
8#13069557C211yesmaximal, characteristic, complemented
9#13069433C211yesmaximal, characteristic
10#13068957C211yesmaximal, characteristic, complemented
11#13068950C211yesmaximal, characteristic
12#13068884C211yesmaximal, characteristic, complemented
13#13068877C211yesmaximal, characteristic
14#13068621C211yesmaximal, characteristic, complemented
15C2×C11×#556C211yesmaximal, characteristic
16C11×#556—24no—
17C11×#556—24no—
18C2×C11×C4⋊Q8C2211yescharacteristic
19C2×C11×#126—21no—
20C2×C11×#126—21no—
21C2×C11×#124C2211yescharacteristic
22C2×C11×#124C2211yescharacteristic
23C2×C11×C22⋊Q8—21no—
24C2×C4×Q8×C11C2211yescharacteristic
25C2×C4×Q8×C11C2211yescharacteristic
26C2×C4×Q8×C11C2211yescharacteristic
27C2×C4×D4×C11C2211yescharacteristic
28C2×C11×#117—21no—
29C22×#4326C2211yescharacteristic
30C22×#4326C2211yescharacteristic
31C22×#4324C2211yescharacteristic
32C2×C4×Dic22C2211yescharacteristic
33#10622843—21no—
34C2×#66899C2211yescharacteristic
35C2×#66899C2211yescharacteristic
36C2×#66899C2211yescharacteristic
37C2×#66899C2211yescharacteristic
38C2×#66899C2211yescharacteristic
39C2×#66899C2211yescharacteristic
40C2×#66896C2211yescharacteristic
41C2×#66896C2211yescharacteristic
42C2×#66896C2211yescharacteristic
43#10622667—24no—
44#10622643—24no—
45#10622597—21no—
46#10622597—21no—
47#10622586—21no—
48C2×#66874C2211yescharacteristic
49C2×#66872C2211yescharacteristic
50#10622548C2211yescharacteristic
51#10622542C2211yescharacteristic
52#10622542C2211yescharacteristic
53#10622541C2211yescharacteristic
54#10622541C2211yescharacteristic
55C2×C4⋊(C11⋊C8)C2211yescharacteristic
56C2×#66867C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622162C2211yescharacteristic
60#10622162C2211yescharacteristic
61#10622162C2211yescharacteristic
62#10622162C2211yescharacteristic
63C22×Q8×C11D411yescharacteristic
64C22×Q8×C11C2311yescharacteristic
65C22×Q8×C11C2311yescharacteristic
66C22×D4×C11C2311yescharacteristic
67C23×C4×C11—21no—
68C22×Dic22C2311yescharacteristic
69C11×C4⋊Q8—22no—
70C11×C4⋊Q8—22no—
71C11×#126—28no—
72C11×#126—28no—
73C11×#124—22no—
74C11×#124—22no—
75C11×#124—22no—
76C11×#124D414yes—
77C11×C22⋊Q8—28no—
78C4×Q8×C11—22no—
79C4×Q8×C11—22no—
80C4×Q8×C11—22no—
81C4×Q8×C11—22no—
82C4×Q8×C11—22no—
83C4×Q8×C11D414yes—
84C4×D4×C11—22no—
85C4×D4×C11—22no—
86C11×#117—28no—
87C2×C11×C4⋊C4—21no—
88C2×C11×C4⋊C4—21no—
89C2×C11×C4⋊C4—21no—
90C2×C11×C4⋊C4—21no—
91C2×C11×C4⋊C4D411yescharacteristic
92C2×C11×C4⋊C4D411yescharacteristic
93C2×C11×C4⋊C4D411yescharacteristic
94C2×C11×C4⋊C4C2311yescharacteristic
95C2×C11×C22⋊C4—21no—
96C2×C11×C22⋊C4—21no—
97C2×C11×C22⋊C4—21no—
98C2×C11×C22⋊C4—21no—
99C2×C11×C22⋊C4—21no—
100C2×C42×C11—21no—
101C2×C42×C11—21no—
102C2×C42×C11C2311yescharacteristic
103C2×C42×C11C2311yescharacteristic
104C2×C42×C11C2311yescharacteristic
105C2×#4326—22no—
106C2×#4326—22no—
107C2×#4326—22no—
108C2×#4326—22no—
109C2×#4326—22no—
110C2×#4326—41no—
111C2×#4324—22no—
112C2×#4324—22no—
113C2×#4324—41no—
114C2×C4⋊Dic11—21no—
115C2×C4⋊Dic11—21no—
116C2×C4⋊Dic11C2311yescharacteristic
117C2×C4⋊Dic11C2311yescharacteristic
118C2×C4⋊Dic11C2311yescharacteristic
119C2×Dic11⋊C4—21no—
120C2×Dic11⋊C4—21no—
121C2×Dic11⋊C4—21no—
122C2×C4×Dic11—21no—
123C22×C11⋊C8C2311yescharacteristic
124C22×C11⋊C8C2311yescharacteristic
125C22×C11⋊C8C2311yescharacteristic
126C22×C11⋊C8C2311yescharacteristic
127C4×Dic22—22no—
128C4×Dic22—22no—
129#66899—22no—
130#66899—22no—
131#66899—22no—
132#66899—41no—
133#66899—41no—
134#66899—41no—
135#66896—22no—
136#66896—22no—
137#66896—41no—
138C11⋊#95—21no—
139C11⋊#95—21no—
140C11⋊#95—21no—
141C11⋊#95—21no—
142C11⋊#95—21no—
143C11⋊#95—21no—
144#66874—22no—
145#66872—22no—
146C4⋊(C11⋊C8)—22no—
147#66867—22no—
148#24207—111nomaximal, Sylow
149C24×C11—21no—
150C2×Q8×C11—22no—
151C2×Q8×C11—22no—
152C2×Q8×C11—21no—
153C2×Q8×C11—21no—
154C2×Q8×C11—21no—
155C2×Q8×C11—21no—
156C2×Q8×C11—21no—
157C2×Q8×C11—21no—
158C2×Q8×C11—21no—
159C2×Q8×C11—21no—
160C2×Q8×C11—21no—
161C2×Q8×C11—21no—
162C2×Q8×C11—41no—
163C2×Q8×C11C2×D412yes—
164C2×Q8×C11C2×D412yes—
165C2×D4×C11—21no—
166C2×D4×C11—21no—
167C2×D4×C11—21no—
168C2×D4×C11—21no—
169C2×D4×C11—21no—
170C2×D4×C11C2×D412yes—
171C22×C4×C11—24no—
172C22×C4×C11—21no—
173C22×C4×C11—21no—
174C22×C4×C11—21no—
175C22×C4×C11—42no—
176C22×C4×C11—42no—
177C22×C4×C11C2×D411yescharacteristic
178C22×C4×C11C2×D411yescharacteristic
179C22×C4×C11C2×D411yescharacteristic
180C22×C4×C11C2×D411yescharacteristic
181C22×C4×C11C2×D411yescharacteristic
182C22×C4×C11C2×D411yescharacteristic
183C22×C4×C11C2411yescharacteristic
184C22×Dic11—21no—
185C22×Dic11—21no—
186C22×Dic11—21no—
187C22×Dic11—21no—
188C2×Dic22—21no—
189C2×Dic22—21no—
190C2×Dic22—21no—
191C2×Dic22—21no—
192C2×Dic22—21no—
193C2×Dic22#4112yes—
194C11×C4⋊C4—24no—
195C11×C4⋊C4—24no—
196C11×C4⋊C4—24no—
197C11×C4⋊C4—24no—
198C11×C4⋊C4—22no—
199C11×C4⋊C4—22no—
200C11×C4⋊C4—22no—
201C11×C4⋊C4—21no—
202C11×C4⋊C4C2×D412yes—
203C11×C22⋊C4—24no—
204C11×C22⋊C4—24no—
205C11×C22⋊C4—24no—
206C11×C22⋊C4—24no—
207C11×C22⋊C4—24no—
208C42×C11—24no—
209C42×C11—24no—
210C42×C11—21no—
211C42×C11—21no—
212C42×C11—21no—
213C42×C11—21no—
214C42×C11C2×D412yes—
215C42×C11C2×D412yes—
216#4326—28no—
217#4326—44no—
218#4324—44no—
219C4⋊Dic11—21no—
220C4⋊Dic11—21no—
221C4⋊Dic11—21no—
222C4⋊Dic11—21no—
223C4⋊Dic11—21no—
224C4⋊Dic11—21no—
225C4⋊Dic11—42no—
226C4⋊Dic11—81no—
227Dic11⋊C4—42no—
228Dic11⋊C4—81no—
229Dic11⋊C4—81no—
230C4×Dic11—42no—
231C2×C11⋊C8—21no—
232C2×C11⋊C8—21no—
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×C11⋊C8—21no—
240C2×C11⋊C8—21no—
241C2×C11⋊C8—21no—
242C2×C11⋊C8#4112yes—
243C2×#556D1111yescharacteristic
244C2×#464—111no—
245C2×#441—111no—
246#2582—111no—
247#2043—111no—
248#2042—111no—
249#2016—111no—
250#2015—111no—
251#1985—111no—
252#1959—111no—
253#1878—111no—
254#1877—111no—
255#1865—111no—
256#1864—111no—
257#1803—111no—
258C23×C11—22no—
259C23×C11—41no—
260C23×C11—41no—
261C23×C11—41no—
262C23×C11—41no—
263C23×C11—41no—
264C23×C11—41no—
265C23×C11C22×D411yescharacteristic
266Q8×C11—22no—
267Q8×C11—22no—
268Q8×C11—22no—
269Q8×C11—22no—
270Q8×C11—44no—
271Q8×C11—41no—
272Q8×C11—41no—
273Q8×C11—41no—
274Q8×C11—41no—
275D4×C11—22no—
276D4×C11—22no—
277D4×C11—41no—
278D4×C11—41no—
279C2×C4×C11—21no—
280C2×C4×C11—21no—
281C2×C4×C11—21no—
282C2×C4×C11—21no—
283C2×C4×C11—21no—
284C2×C4×C11—21no—
285C2×C4×C11—21no—
286C2×C4×C11—22no—
287C2×C4×C11—21no—
288C2×C4×C11—22no—
289C2×C4×C11—22no—
290C2×C4×C11—21no—
291C2×C4×C11—21no—
292C2×C4×C11—21no—
293C2×C4×C11—21no—
294C2×C4×C11—21no—
295C2×C4×C11—21no—
296C2×C4×C11—21no—
297C2×C4×C11—48no—
298C2×C4×C11—41no—
299C2×C4×C11—41no—
300C2×C4×C11—41no—
301C2×C4×C11—41no—
302C2×C4×C11—41no—
303C2×C4×C11—41no—
304C2×C4×C11#12012yes—
305C2×C4×C11#12012yes—
306C2×C4×C11#13712yes—
307C2×C4×C11C22×D411yescharacteristic
308C2×C4×C11C22×D411yescharacteristic
309C2×C4×C11C2×#4111yescharacteristic
310C2×C4×C11C2×#4111yescharacteristic
311C2×C4×C11H(5,𝔽2)11yescharacteristic
312C2×C4×C112−1+411yescharacteristic
313C2×Dic11—22no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11—41no—
320C2×Dic11—41no—
321C2×Dic11—41no—
322C2×Dic11—41no—
323C2×Dic11—41no—
324C2×Dic11—41no—
325Dic22—22no—
326Dic22—22no—
327Dic22—41no—
328Dic22—41no—
329C11⋊C8—22no—
330C11⋊C8—41no—
331C11⋊C8—41no—
332C11⋊C8—41no—
333C22×Q16—111no—
334C22×Q16—111no—
335C22×SD16—111no—
336#556—24no—
337#556—24no—
338C2×C4⋊Q8C2×D1111yescharacteristic
339C2×#126—21no—
340C2×#126—21no—
341C2×#124C2×D1111yescharacteristic
342C2×#124C2×D1111yescharacteristic
343C2×C22⋊Q8—21no—
344C2×C4×Q8—111no—
345C2×C4×Q8C2×D1111yescharacteristic
346C2×C4×Q8C2×D1111yescharacteristic
347C2×C4×Q8C2×D1111yescharacteristic
348C2×C4×D4C2×D1111yescharacteristic
349C2×#117—21no—
350#464—224no—
351#441—224no—
352C2×#106—111no—
353C2×C4⋊C8—111no—
354C2×#103—111no—
355C2×#103—111no—
356C2×#103—111no—
357C2×#103—111no—
358C2×#103—111no—
359C2×#103—111no—
360C2×#103—111no—
361C2×#102—111no—
362C2×#102—111no—
363C2×#102—111no—
364C2×#97—111no—
365#398—221no—
366#398—221no—
367#391—111no—
368#391—111no—
369#391—221no—
370#389—111no—
371#389—111no—
372#389—221no—
373#384—111no—
374#340—111no—
375#340—111no—
376#336—111no—
377#336—111no—
378#336—111no—
379#336—111no—
380C22×C11—42no—
381C22×C11—42no—
382C22×C11—42no—
383C22×C11—81no—
384C22×C11—81no—
385C22×C11—81no—
386C22×C11—81no—
387C22×C11C2×#12011yescharacteristic
388C22×C11#54811yescharacteristic
389C22×C11#55011yescharacteristic
390C22×C11C2×#13711yescharacteristic
391C22×C11#57511yescharacteristic
392C22×C11#57711yescharacteristic
393C22×C11#57811yescharacteristic
394C4×C11—22no—
395C4×C11—22no—
396C4×C11—22no—
397C4×C11—42no—
398C4×C11—42no—
399C4×C11—41no—
400C4×C11—42no—
401C4×C11—41no—
402C4×C11—41no—
403C4×C11#52511yescharacteristic
404C4×C11#53711yescharacteristic
405C4×C11#54611yescharacteristic
406C4×C11#54711yescharacteristic
407Dic11—42no—
408Dic11—81no—
409Dic11—81no—
410Dic11—81no—
411C22×Q8—111no—
412C22×Q8C22⋊D1111yescharacteristic
413C22×Q8C22×D1111yescharacteristic
414C22×Q8C22×D1111yescharacteristic
415C22×D4C22×D1111yescharacteristic
416C23×C4—21no—
417C2×Q16—222no—
418C2×Q16—222no—
419C2×Q16—222no—
420C2×Q16—222no—
421C2×Q16—222no—
422C2×Q16—441no—
423C2×SD16—222no—
424C2×SD16—222no—
425C2×SD16—441no—
426C22×C8—111no—
427C22×C8—111no—
428C22×C8—111no—
429C22×C8—111no—
430C4⋊Q8—22no—
431C4⋊Q8—22no—
432#126—28no—
433#126—28no—
434#124—22no—
435#124—22no—
436#124—22no—
437#124C22⋊D1114yes—
438C22⋊Q8—28no—
439C4×Q8—22no—
440C4×Q8—22no—
441C4×Q8—22no—
442C4×Q8—22no—
443C4×Q8—22no—
444C4×Q8—222no—
445C4×Q8—222no—
446C4×Q8C22⋊D1114yes—
447C4×D4—22no—
448C4×D4—22no—
449#117—28no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—111no—
455C2×C4⋊C4—111no—
456C2×C4⋊C4—111no—
457C2×C4⋊C4—221no—
458C2×C4⋊C4—221no—
459C2×C4⋊C4—221no—
460C2×C4⋊C4—221no—
461C2×C4⋊C4—221no—
462C2×C4⋊C4C22⋊D1111yescharacteristic
463C2×C4⋊C4C22⋊D1111yescharacteristic
464C2×C4⋊C4C22⋊D1111yescharacteristic
465C2×C4⋊C4C22×D1111yescharacteristic
466C2×C22⋊C4—21no—
467C2×C22⋊C4—21no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4—21no—
470C2×C22⋊C4—21no—
471C2×C42—21no—
472C2×C42—21no—
473C2×C42—221no—
474C2×C42C22×D1111yescharacteristic
475C2×C42C22×D1111yescharacteristic
476C2×C42C22×D1111yescharacteristic
477#106—222no—
478C4⋊C8—222no—
479#103—222no—
480#103—222no—
481#103—222no—
482#103—222no—
483#103—441no—
484#103—441no—
485#103—441no—
486#102—222no—
487#102—222no—
488#102—441no—
489#97—222no—
490#95—221no—
491#95—221no—
492#95—221no—
493#95—221no—
494#95—221no—
495#95—221no—
496C2×C11—82no—
497C2×C11#240711yescharacteristic
498C2×C11#300711yescharacteristic
499C2×C11#301311yescharacteristic
500C2×C11#336911yescharacteristic
501C2×C11#337711yescharacteristic
502C2×C11#339811yescharacteristic
503C2×C11#340111yescharacteristic
504C24—21no—
505C2×Q8—22no—
506C2×Q8—22no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—41no—
518C2×Q8—112no—
519C2×Q8—221no—
520C2×Q8—221no—
521C2×Q8—221no—
522C2×Q8—221no—
523C2×Q8—221no—
524C2×Q8C2×C22⋊D1112yes—
525C2×Q8C2×C22⋊D1112yes—
526C2×D4—21no—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4C2×C22⋊D1112yes—
532C22×C4—24no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—42no—
537C22×C4—42no—
538C22×C4—221no—
539C22×C4—221no—
540C22×C4—221no—
541C22×C4—221no—
542C22×C4C2×C22⋊D1111yescharacteristic
543C22×C4C2×C22⋊D1111yescharacteristic
544C22×C4C2×C22⋊D1111yescharacteristic
545C22×C4C2×C22⋊D1111yescharacteristic
546C22×C4C2×C22⋊D1111yescharacteristic
547C22×C4C2×C22⋊D1111yescharacteristic
548C22×C4C23×D1111yescharacteristic
549Q16—228no—
550Q16—444no—
551SD16—444no—
552C2×C8—112no—
553C2×C8—221no—
554C2×C8—221no—
555C2×C8—221no—
556C2×C8—221no—
557C2×C8—221no—
558C2×C8—221no—
559C2×C8—221no—
560C2×C8—221no—
561C2×C8—221no—
562C2×C8—221no—
563C2×C8—221no—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—24no—
567C4⋊C4—24no—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—21no—
572C4⋊C4—221no—
573C4⋊C4—221no—
574C4⋊C4—221no—
575C4⋊C4—221no—
576C4⋊C4—221no—
577C4⋊C4—221no—
578C4⋊C4—442no—
579C4⋊C4—442no—
580C4⋊C4—881no—
581C4⋊C4—881no—
582C4⋊C4—881no—
583C4⋊C4C2×C22⋊D1112yes—
584C22⋊C4—24no—
585C22⋊C4—24no—
586C22⋊C4—24no—
587C22⋊C4—24no—
588C22⋊C4—24no—
589C42—24no—
590C42—24no—
591C42—21no—
592C42—21no—
593C42—21no—
594C42—21no—
595C42—442no—
596C42C2×C22⋊D1112yes—
597C42C2×C22⋊D1112yes—
598C11#2420711yescharacteristic, complemented, Sylow
599C23—22no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23C22×C22⋊D1111yescharacteristic
607Q8—22no—
608Q8—22no—
609Q8—22no—
610Q8—22no—
611Q8—44no—
612Q8—41no—
613Q8—41no—
614Q8—41no—
615Q8—41no—
616Q8—222no—
617Q8—222no—
618Q8—441no—
619Q8—441no—
620D4—22no—
621D4—22no—
622D4—41no—
623D4—41no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—22no—
638C2×C4—21no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—21no—
642C2×C4—48no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—222no—
650C2×C4—441no—
651C2×C4—441no—
652C2×C4—441no—
653C2×C4—441no—
654C2×C4—441no—
655C2×C4—441no—
656C2×C4—441no—
657C2×C4—441no—
658C2×C4—441no—
659C2×C4—441no—
660C2×C4—441no—
661C2×C4#6700412yes—
662C2×C4#6700612yes—
663C2×C4#6700612yes—
664C2×C4#41×D1111yescharacteristic
665C2×C4#41×D1111yescharacteristic
666C2×C4#6704211yescharacteristic
667C2×C4#6704311yescharacteristic
668C2×C4C22×C22⋊D1111yescharacteristic
669C2×C4C22×C22⋊D1111yescharacteristic
670C8—222no—
671C8—441no—
672C8—441no—
673C8—441no—
674C22—42no—
675C22—42no—
676C22—42no—
677C22—81no—
678C22—81no—
679C22—81no—
680C22—81no—
681C22#1062335311yescharacteristic
682C22C2×#6700411yescharacteristic
683C22#1062336211yescharacteristic
684C22#1062336511yescharacteristic
685C22#1062336811yescharacteristic
686C22#1062336911yescharacteristic
687C22C2×#6700611yescharacteristic
688C4—22no—
689C4—22no—
690C4—22no—
691C4—42no—
692C4—42no—
693C4—41no—
694C4—42no—
695C4—41no—
696C4—41no—
697C4—442no—
698C4—881no—
699C4—881no—
700C4—881no—
701C4#1062335511yescharacteristic
702C4#1062335911yescharacteristic
703C4#1062336011yescharacteristic
704C4#1062336411yescharacteristic
705C2—82no—
706C2#1307195511yescharacteristic
707C2#1307787611yescharacteristic
708C2#1307793111yescharacteristic
709C2#1308135211yescharacteristic
710C2#1308145211yescharacteristic
711C2#1308164711yescharacteristic
712C2#1308168211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC2×C11×#556C2
socleC23×C11C22×D4
prime radicalC22×D4×C11C23
hypercenterC2×#556D11
hypocenterC11#24207
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#556

Complements

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

NH ≅ G/Ntype
2. C2×#10622643C2semidirect
3. #13073986C2semidirect
4. #13069859C2semidirect
6. #13069716C2semidirect
8. #13069557C2semidirect
10. #13068957C2semidirect
12. #13068884C2semidirect
14. #13068621C2semidirect
598. C11#24207semidirect

Maximal subgroups

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

subgroupindex
C2×#106226672
C2×#106226432
#130739862
#130698592
#130698522
#130697162
#130697102
#130695572
#130694332
#130689572
#130689502
#130688842
#130688772
#130686212
C2×C11×#5562
#2420711