Finite Group Databasebeta

← #14770129

Subgroups — #14770129

Order 2816.

1122 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623044C211yesmaximal, characteristic
2C2×#10622341C211yesmaximal, characteristic
3#13071560C211yesmaximal, characteristic
4#13069583C211yesmaximal, characteristic, complemented
5#13069570C211yesmaximal, characteristic, complemented
6#13069047C211yesmaximal, characteristic, complemented
7#13069038C211yesmaximal, characteristic, complemented
8#13068927C211yesmaximal, characteristic, complemented
9#13068926C211yesmaximal, characteristic, complemented
10#13068709C211yesmaximal, characteristic, complemented
11#13068620C211yesmaximal, characteristic, complemented
12#13068445C211yesmaximal, characteristic, complemented
13#13068335C211yesmaximal, characteristic, complemented
14#13068331C211yesmaximal, characteristic, complemented
15C11×#1824C211yesmaximal, characteristic, complemented
16C22×C11×C4⋊C4C2211yescharacteristic
17C2×#66982—21no—
18C2×C4×C22⋊D11C2211yescharacteristic
19C2×#66979—21no—
20C2×#66979C2211yescharacteristic
21C2×#66977C2211yescharacteristic
22C22×#4318C2211yescharacteristic
23C22×C8×D11C2211yescharacteristic
24#10623044—24no—
25#10623044C418yescomplemented
26C2×#66951—21no—
27C2×#66950C2211yescharacteristic
28C2×#66945C2211yescharacteristic
29C2×#66945C2211yescharacteristic
30C2×#66943C2211yescharacteristic
31C2×#66942—21no—
32C2×#66940C2211yescharacteristic
33C2×C11×C22⋊C8C2211yescharacteristic
34C11×#380C2211yescharacteristic
35C2×(C2×D11)⋊C8C2211yescharacteristic
36C2×#66880C2211yescharacteristic
37C2×#66880C2211yescharacteristic
38C2×#66879C2211yescharacteristic
39C2×Dic11⋊C8C2211yescharacteristic
40#10622600C2211yescharacteristic
41#10622589C2211yescharacteristic
42C4⋊C4×Dic11C2211yescharacteristic
43C2×#66874C2211yescharacteristic
44C2×#66874C2211yescharacteristic
45#10622570—21no—
46#10622558—21no—
47#10622341—24no—
48#10622282—21no—
49#10622262—21no—
50C11×#340C2211yescharacteristic
51C11×#340C2211yescharacteristic
52C11×#340C2211yescharacteristic
53C11×#340C2211yescharacteristic
54#10622189C2211yescharacteristic
55#10622189C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C23×C4×C11—21no—
63C23×C4×C11C2311yescharacteristic
64C22×C22⋊D11D411yescharacteristic
65C22×C4×D11C2311yescharacteristic
66C22×Dic22C2311yescharacteristic
67C22×C8×C11C2311yescharacteristic
68C22×C8×C11C2311yescharacteristic
69C2×C11×C4⋊C4—21no—
70C2×C11×C4⋊C4—22no—
71C2×C11×C4⋊C4C2×C414yes—
72C2×C11×C4⋊C4C2311yescharacteristic
73C2×C11×C4⋊C4C2311yescharacteristic
74C2×C11×C4⋊C4C2311yescharacteristic
75C2×C11×C4⋊C4C2311yescharacteristic
76C2×C11×C22⋊C4—21no—
77C2×C22⋊Dic11—21no—
78C2×C22⋊Dic11—21no—
79C2×C22⋊Dic11D411yescharacteristic
80#66982—28no—
81C4×C22⋊D11C2×C414yes—
82C4×C22⋊D11D414yes—
83C2×(C2×D11)⋊C4—21no—
84C2×(C2×D11)⋊C4—21no—
85C2×(C2×D11)⋊C4—21no—
86C2×(C2×D11)⋊C4—21no—
87C2×(C2×D11)⋊C4D411yescharacteristic
88#66979—28no—
89#66979—22no—
90#66979—41no—
91C2×C4⋊Dic11—21no—
92C2×C4⋊Dic11—21no—
93C2×C4⋊Dic11C2311yescharacteristic
94C2×C4⋊Dic11C2311yescharacteristic
95C2×C4⋊Dic11C2311yescharacteristic
96#66977—22no—
97#66977C2×C414yes—
98C2×Dic11⋊C4—21no—
99C2×Dic11⋊C4—21no—
100C2×Dic11⋊C4—21no—
101C2×Dic11⋊C4—21no—
102C2×Dic11⋊C4—21no—
103C2×Dic11⋊C4D411yescharacteristic
104C2×C4×Dic11—21no—
105C2×C4×Dic11—21no—
106C2×C4×Dic11—21no—
107C2×C4×Dic11—21no—
108C2×C4×Dic11—21no—
109C2×C4×Dic11C2311yescharacteristic
110C2×#4318—22no—
111C2×#4318—22no—
112C2×#4318—41no—
113C22×C11⋊C8C2311yescharacteristic
114C22×C11⋊C8C2311yescharacteristic
115C2×C8×D11—22no—
116C2×C8×D11—22no—
117C2×C8×D11—41no—
118#66951—28no—
119#66950—22no—
120#66950C2×C414yes—
121#66945—22no—
122#66945—22no—
123#66945—41no—
124#66945C2×C414yes—
125#66943—22no—
126#66943C2×C414yes—
127#66942—28no—
128#66940—22no—
129#66940C2×C414yes—
130C11×C22⋊C8—22no—
131C11×#95—21no—
132C11⋊#95—21no—
133C11⋊#95—21no—
134(C2×D11)⋊C8—22no—
135#66880—22no—
136#66880—41no—
137#66879—22no—
138Dic11⋊C8—22no—
139#66874—22no—
140#66874—41no—
141#22496—111nomaximal, Sylow
142C24×C11C2×D411yescharacteristic
143C23×D11C2×D411yescharacteristic
144C22×C4×C11—21no—
145C22×C4×C11—21no—
146C22×C4×C11—21no—
147C22×C4×C11—21no—
148C22×C4×C11—24no—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—42no—
154C22×C4×C11—42no—
155C22×C4×C11C22×C412yes—
156C22×C4×C11C2×D411yescharacteristic
157C22×C4×C11C2×D412yes—
158C22×C4×C11C2411yescharacteristic
159C2×C22⋊D11—41no—
160C2×C22⋊D11—41no—
161C2×C22⋊D11C22⋊C414yes—
162C22×Dic11—21no—
163C22×Dic11—21no—
164C22×Dic11—21no—
165C22×Dic11—21no—
166C22×Dic11C2×D411yescharacteristic
167C22×Dic11C2×D411yescharacteristic
168C22×Dic11C2×D411yescharacteristic
169C2×C4×D11—21no—
170C2×C4×D11—21no—
171C2×C4×D11—21no—
172C2×C4×D11—21no—
173C2×C4×D11C22×C412yes—
174C2×C4×D11C2×D412yes—
175C2×Dic22—21no—
176C2×Dic22—21no—
177C2×Dic22—21no—
178C2×Dic22—21no—
179C2×Dic22—21no—
180C2×Dic22C22×C412yes—
181C2×C8×C11—21no—
182C2×C8×C11—21no—
183C2×C8×C11—21no—
184C2×C8×C11—21no—
185C2×C8×C11—21no—
186C2×C8×C11—21no—
187C11×C4⋊C4—24no—
188C11×C4⋊C4—21no—
189C11×C4⋊C4—21no—
190C11×C4⋊C4—21no—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—21no—
193C11×C4⋊C4—21no—
194C11×C4⋊C4C22×C412yes—
195C11×C4⋊C4C22×C412yes—
196C11×C22⋊C4—81no—
197C22⋊Dic11—24no—
198C22⋊Dic11—42no—
199C22⋊Dic11C22⋊C414yes—
200(C2×D11)⋊C4—24no—
201(C2×D11)⋊C4—24no—
202(C2×D11)⋊C4—42no—
203(C2×D11)⋊C4—81no—
204(C2×D11)⋊C4C22⋊C414yes—
205C4⋊Dic11—24no—
206C4⋊Dic11—24no—
207C4⋊Dic11—21no—
208C4⋊Dic11—21no—
209C4⋊Dic11—21no—
210C4⋊Dic11—21no—
211C4⋊Dic11C22×C412yes—
212C4⋊Dic11#4112yes—
213Dic11⋊C4—24no—
214Dic11⋊C4—24no—
215Dic11⋊C4—24no—
216Dic11⋊C4—42no—
217Dic11⋊C4—81no—
218Dic11⋊C4C22⋊C414yes—
219C4×Dic11—24no—
220C4×Dic11—24no—
221C4×Dic11—42no—
222C4×Dic11—42no—
223C4×Dic11—42no—
224C4×Dic11C22×C412yes—
225C4×Dic11C2×D412yes—
226#4318—44no—
227C2×C11⋊C8—21no—
228C2×C11⋊C8—21no—
229C2×C11⋊C8—21no—
230C2×C11⋊C8—21no—
231C2×C11⋊C8—21no—
232C2×C11⋊C8#4112yes—
233C8×D11—44no—
234C2×#552—111no—
235C2×#435—111no—
236#2354—111no—
237#1992—111no—
238#1989—111no—
239#1894—111no—
240#1892—111no—
241#1873—111no—
242#1873—111no—
243#1825—111no—
244#1824D1111yescharacteristic, complemented
245#1803—111no—
246#1763—111no—
247#1736—111no—
248#1735—111no—
249C23×C11—21no—
250C23×C11—21no—
251C23×C11—21no—
252C23×C11—21no—
253C23×C11—21no—
254C23×C11—21no—
255C23×C11C2×C22⋊C412yes—
256C23×C11C22×D411yescharacteristic
257C22×D11—21no—
258C22×D11—21no—
259C22×D11—21no—
260C22×D11—21no—
261C22×D11—21no—
262C22×D11—21no—
263C22×D11C2×C22⋊C412yes—
264C2×C4×C11—21no—
265C2×C4×C11—21no—
266C2×C4×C11—22no—
267C2×C4×C11—22no—
268C2×C4×C11—22no—
269C2×C4×C11—22no—
270C2×C4×C11—22no—
271C2×C4×C11—22no—
272C2×C4×C11—48no—
273C2×C4×C11—41no—
274C2×C4×C11—41no—
275C2×C4×C11—41no—
276C2×C4×C11—41no—
277C2×C4×C11—41no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
281C2×C4×C11—41no—
282C2×C4×C11—41no—
283C2×C4×C11C2×C22⋊C412yes—
284C2×C4×C11C23×C411yescharacteristic
285C2×C4×C11C22×D411yescharacteristic
286C2×C4×C11C2×#4111yescharacteristic
287C2×C4×C11C2×#4111yescharacteristic
288C2×C4×C11H(5,𝔽2)11yescharacteristic
289C2×C4×C112−1+411yescharacteristic
290C22⋊D11—44no—
291C2×Dic11—21no—
292C2×Dic11—21no—
293C2×Dic11—21no—
294C2×Dic11—21no—
295C2×Dic11—21no—
296C2×Dic11—21no—
297C2×Dic11—22no—
298C2×Dic11—22no—
299C2×Dic11—22no—
300C2×Dic11—41no—
301C2×Dic11—41no—
302C2×Dic11—41no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11C2×C22⋊C412yes—
310C2×Dic11C2×C22⋊C412yes—
311C2×Dic11C2×C22⋊C412yes—
312C4×D11—22no—
313C4×D11—22no—
314C4×D11—22no—
315C4×D11—22no—
316Dic22—22no—
317Dic22—22no—
318Dic22—41no—
319Dic22—41no—
320C8×C11—41no—
321C8×C11—41no—
322C11⋊C8—22no—
323C11⋊C8—41no—
324C22×M16—111no—
325C23×C8—111no—
326#552—118no—
327#552—224no—
328C2×#126—221no—
329C2×#125—111no—
330C2×#125—221no—
331C2×#123—221no—
332C2×C22⋊Q8—111no—
333C2×C22⋊Q8—111no—
334C2×C4×Q8—111no—
335C2×C4×D4—111no—
336C2×#117—111no—
337C2×#117—111no—
338C2×#117—111no—
339C2×#117—221no—
340C22×C4⋊C4C2×D1111yescharacteristic
341#435—224no—
342C2×C4⋊C8—111no—
343C2×#103—111no—
344C2×#103—111no—
345C2×#103—111no—
346C2×#103—111no—
347C2×C22⋊C8—111no—
348C2×C22⋊C8C2×D1111yescharacteristic
349C2×#97—111no—
350#390—221no—
351#388—221no—
352#388—221no—
353#384—111no—
354#380—111no—
355#380C2×D1111yescharacteristic
356C4×C4⋊C4—111no—
357C4×C4⋊C4—221no—
358#340—111no—
359#340—111no—
360#340—111no—
361#340—111no—
362#340—111no—
363#340—111no—
364#340—111no—
365#340—111no—
366#340C2×D1111yescharacteristic
367#340C2×D1111yescharacteristic
368#340C2×D1111yescharacteristic
369#340C2×D1111yescharacteristic
370C22×C11—22no—
371C22×C11—22no—
372C22×C11—22no—
373C22×C11—41no—
374C22×C11—41no—
375C22×C11—41no—
376C22×C11—41no—
377C22×C11C22×C22⋊C411yescharacteristic
378C22×C11#54611yescharacteristic
379C22×C11#54711yescharacteristic
380C22×C11#57511yescharacteristic
381C22×C11#57511yescharacteristic
382C22×C11#57711yescharacteristic
383C22×C11#57811yescharacteristic
384C2×D11—22no—
385C2×D11—22no—
386C2×D11—22no—
387C2×D11—41no—
388C2×D11—41no—
389C2×D11—41no—
390C2×D11—41no—
391C4×C11—22no—
392C4×C11—42no—
393C4×C11—42no—
394C4×C11—81no—
395C4×C11—81no—
396C4×C11C4×#4111yescharacteristic
397C4×C11#52011yescharacteristic
398C4×C11#54611yescharacteristic
399C4×C11#54711yescharacteristic
400Dic11—22no—
401Dic11—22no—
402Dic11—22no—
403Dic11—42no—
404Dic11—42no—
405Dic11—42no—
406Dic11—81no—
407C22×Q8—111no—
408C22×D4—111no—
409C23×C4—21no—
410C23×C4—111no—
411C23×C4C22×D1111yescharacteristic
412C2×M16—222no—
413C2×M16—222no—
414C2×M16—441no—
415C22×C8—111no—
416C22×C8—111no—
417C22×C8—222no—
418C22×C8—222no—
419C22×C8—441no—
420C22×C8C22×D1111yescharacteristic
421C22×C8C22×D1111yescharacteristic
422#126—228no—
423#125—114no—
424#125—222no—
425#125—228no—
426#123—228no—
427C22⋊Q8—114no—
428C22⋊Q8—114no—
429C22⋊Q8—222no—
430C22⋊Q8—222no—
431C4×Q8—114no—
432C4×Q8—222no—
433C4×D4—114no—
434C4×D4—114no—
435#117—114no—
436#117—228no—
437#117—222no—
438#117—222no—
439#117—222no—
440#117—441no—
441#117—441no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—22no—
444C2×C4⋊C4—111no—
445C2×C4⋊C4—111no—
446C2×C4⋊C4—111no—
447C2×C4⋊C4—111no—
448C2×C4⋊C4—221no—
449C2×C4⋊C4—221no—
450C2×C4⋊C4—221no—
451C2×C4⋊C4—221no—
452C2×C4⋊C4—221no—
453C2×C4⋊C4—221no—
454C2×C4⋊C4—221no—
455C2×C4⋊C4C4×D1114yes—
456C2×C4⋊C4C22×D1111yescharacteristic
457C2×C4⋊C4C22×D1111yescharacteristic
458C2×C4⋊C4C22×D1111yescharacteristic
459C2×C4⋊C4C22×D1111yescharacteristic
460C2×C22⋊C4—21no—
461C2×C22⋊C4—111no—
462C2×C22⋊C4—111no—
463C2×C22⋊C4—221no—
464C2×C22⋊C4—221no—
465C2×C22⋊C4—221no—
466C2×C22⋊C4—221no—
467C2×C22⋊C4—221no—
468C2×C22⋊C4—221no—
469C2×C42—111no—
470C2×C42—221no—
471C2×C42—221no—
472C2×C42—221no—
473C2×C42—221no—
474C2×C42—221no—
475C4⋊C8—222no—
476#103—222no—
477#103—222no—
478#103—441no—
479#103—441no—
480C22⋊C8—22no—
481C22⋊C8—222no—
482#97—222no—
483#95—21no—
484#95—221no—
485#95—221no—
486C2×C11—42no—
487C2×C11#233911yescharacteristic
488C2×C11#289611yescharacteristic
489C2×C11#289811yescharacteristic
490C2×C11#331511yescharacteristic
491C2×C11#331711yescharacteristic
492C2×C11#334811yescharacteristic
493C2×C11#334911yescharacteristic
494D11—42no—
495C24—111no—
496C24D4×D1111yescharacteristic
497C2×Q8—112no—
498C2×Q8—221no—
499C2×Q8—221no—
500C2×Q8—221no—
501C2×Q8—221no—
502C2×Q8—221no—
503C2×D4—114no—
504C2×D4—441no—
505C2×D4—441no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—24no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—111no—
518C22×C4—111no—
519C22×C4—111no—
520C22×C4—112no—
521C22×C4—112no—
522C22×C4—221no—
523C22×C4—221no—
524C22×C4—221no—
525C22×C4—221no—
526C22×C4—221no—
527C22×C4—221no—
528C22×C4—221no—
529C22×C4—221no—
530C22×C4C2×C4×D1112yes—
531C22×C4D4×D1111yescharacteristic
532C22×C4D4×D1112yes—
533C22×C4C23×D1111yescharacteristic
534M16—444no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—112no—
542C2×C8—221no—
543C2×C8—221no—
544C2×C8—221no—
545C2×C8—221no—
546C2×C8—221no—
547C2×C8—444no—
548C4⋊C4—24no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—114no—
556C4⋊C4—112no—
557C4⋊C4—112no—
558C4⋊C4—224no—
559C4⋊C4—224no—
560C4⋊C4—224no—
561C4⋊C4—224no—
562C4⋊C4—224no—
563C4⋊C4—221no—
564C4⋊C4—221no—
565C4⋊C4—221no—
566C4⋊C4—221no—
567C4⋊C4—442no—
568C4⋊C4—881no—
569C4⋊C4C2×C4×D1112yes—
570C4⋊C4C2×C4×D1112yes—
571C22⋊C4—81no—
572C22⋊C4—114no—
573C22⋊C4—114no—
574C22⋊C4—224no—
575C22⋊C4—224no—
576C22⋊C4—224no—
577C22⋊C4—442no—
578C22⋊C4—442no—
579C22⋊C4—881no—
580C42—112no—
581C42—112no—
582C42—224no—
583C42—224no—
584C42—442no—
585C42—442no—
586C42—442no—
587C11#2249611yescharacteristic, complemented, Sylow
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—112no—
595C23—221no—
596C23—221no—
597C23—221no—
598C23—221no—
599C23—221no—
600C23—221no—
601C23C22⋊C4×D1112yes—
602C23C2×D4×D1111yescharacteristic
603Q8—222no—
604Q8—222no—
605Q8—441no—
606Q8—441no—
607D4—444no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—48no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—112no—
628C2×C4—112no—
629C2×C4—112no—
630C2×C4—221no—
631C2×C4—221no—
632C2×C4—221no—
633C2×C4—221no—
634C2×C4—221no—
635C2×C4—221no—
636C2×C4—222no—
637C2×C4—222no—
638C2×C4—222no—
639C2×C4—222no—
640C2×C4—222no—
641C2×C4—222no—
642C2×C4—222no—
643C2×C4—441no—
644C2×C4—441no—
645C2×C4—441no—
646C2×C4—441no—
647C2×C4—441no—
648C2×C4—441no—
649C2×C4—441no—
650C2×C4—441no—
651C2×C4—441no—
652C2×C4C22⋊C4×D1112yes—
653C2×C4C22×C4×D1111yescharacteristic
654C2×C4C2×D4×D1111yescharacteristic
655C2×C4#41×D1111yescharacteristic
656C2×C4#41×D1111yescharacteristic
657C2×C4#6704211yescharacteristic
658C2×C4#6704311yescharacteristic
659C8—41no—
660C8—41no—
661C8—222no—
662C8—441no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—222no—
671C22—222no—
672C22—222no—
673C22—441no—
674C22—441no—
675C22—441no—
676C22—441no—
677C22C2×C22⋊C4×D1111yescharacteristic
678C22#1062318511yescharacteristic
679C22#1062318611yescharacteristic
680C22#1062329311yescharacteristic
681C22#1062329711yescharacteristic
682C22#1062330411yescharacteristic
683C22#1062330411yescharacteristic
684C4—22no—
685C4—42no—
686C4—42no—
687C4—81no—
688C4—81no—
689C4—222no—
690C4—222no—
691C4—222no—
692C4—442no—
693C4—442no—
694C4—442no—
695C4—881no—
696C4#1062305311yescharacteristic
697C4#1062305411yescharacteristic
698C4#1062318511yescharacteristic
699C4#1062318611yescharacteristic
700C2—42no—
701C2—442no—
702C2#1307144011yescharacteristic
703C2#1307713011yescharacteristic
704C2#1307714411yescharacteristic
705C2#1308071511yescharacteristic
706C2#1308074511yescharacteristic
707C2#1308113411yescharacteristic
708C2#1308113911yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1824C2
socleC23×C11C22×D4
prime radicalC22×C22⋊D11D4
cosocleC22×C4×C11C24
hypercenter#1824D11
hypocenterC11#22496
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1824

Complements

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

NH ≅ G/Ntype
4. #13069583C2semidirect
5. #13069570C2semidirect
6. #13069047C2semidirect
7. #13069038C2semidirect
8. #13068927C2semidirect
9. #13068926C2semidirect
10. #13068709C2semidirect
11. #13068620C2semidirect
12. #13068445C2semidirect
13. #13068335C2semidirect
14. #13068331C2semidirect
15. C11×#1824C2semidirect
25. #10623044C4semidirect
244. #1824D11semidirect
587. C11#22496semidirect

Maximal subgroups

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

subgroupindex
C2×#106230442
C2×#106223412
#130715602
#130695832
#130695702
#130690472
#130690382
#130689272
#130689262
#130687092
#130686202
#130684452
#130683352
#130683312
C11×#18242
#2249611