Finite Group Databasebeta

← #14770107

Subgroups — #14770107

Order 2816.

1130 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623064C211yesmaximal, characteristic
2C2×#10622740C211yesmaximal, characteristic
3#13071541C211yesmaximal, characteristic
4#13069587C211yesmaximal, characteristic, complemented
5#13069562C211yesmaximal, characteristic, complemented
6#13069049C211yesmaximal, characteristic, complemented
7#13069038C211yesmaximal, characteristic, complemented
8#13068927C211yesmaximal, characteristic, complemented
9#13068923C211yesmaximal, characteristic, complemented
10#13068711C211yesmaximal, characteristic, complemented
11#13068710C211yesmaximal, characteristic, complemented
12#13068630C211yesmaximal, characteristic, complemented
13#13068445C211yesmaximal, characteristic, complemented
14#13068331C211yesmaximal, characteristic, complemented
15C11×#1736C211yesmaximal, characteristic, complemented
16C22×C11×M16C2211yescharacteristic
17C2×C11×#117C2211yescharacteristic
18C22×C11×C4⋊C4C2211yescharacteristic
19C2×C4×C22⋊D11C2211yescharacteristic
20C2×#66977C2211yescharacteristic
21C22×C8×D11C2211yescharacteristic
22#10623064—24no—
23#10623064C418yescomplemented
24C2×#66950C2211yescharacteristic
25C2×#66945C2211yescharacteristic
26C2×#66945C2211yescharacteristic
27C2×#66941C2211yescharacteristic
28C2×#66940C2211yescharacteristic
29C2×#66938—21no—
30C2×#66932—21no—
31C2×#66929—21no—
32C2×C4×Dic22—21no—
33#10622826—21no—
34#10622825C2211yescharacteristic
35C4×C22⋊Dic11—21no—
36C2×C22⋊(C11⋊C8)C2211yescharacteristic
37#10622740—24no—
38C2×(C2×D11)⋊C8C2211yescharacteristic
39C2×#66880C2211yescharacteristic
40C2×#66880C2211yescharacteristic
41C2×#66879C2211yescharacteristic
42C2×Dic11⋊C8C2211yescharacteristic
43#10622603—21no—
44#10622600C2211yescharacteristic
45#10622591—21no—
46#10622590C2211yescharacteristic
47C4⋊C4×Dic11C2211yescharacteristic
48C2×#66874C2211yescharacteristic
49C2×#66874C2211yescharacteristic
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×Dic22—21no—
67C22×Dic22C2311yescharacteristic
68C2×C11×M16—22no—
69C2×C11×M16—22no—
70C2×C11×M16—41no—
71C22×C8×C11C2311yescharacteristic
72C22×C8×C11C2311yescharacteristic
73C11×#117—22no—
74C11×#117C2×C414yes—
75C2×C11×C4⋊C4—22no—
76C2×C11×C4⋊C4—21no—
77C2×C11×C4⋊C4—41no—
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C4⋊C4C2311yescharacteristic
81C2×C11×C4⋊C4C2311yescharacteristic
82C2×C11×C22⋊C4—21no—
83C2×C42×C11—21no—
84C2×C22⋊Dic11—21no—
85C2×C22⋊Dic11—21no—
86C2×C22⋊Dic11D411yescharacteristic
87C4×C22⋊D11C2×C414yes—
88C4×C22⋊D11D414yes—
89C2×(C2×D11)⋊C4—21no—
90C2×(C2×D11)⋊C4—21no—
91C2×(C2×D11)⋊C4—21no—
92C2×(C2×D11)⋊C4—21no—
93C2×(C2×D11)⋊C4D411yescharacteristic
94C2×C4⋊Dic11—21no—
95C2×C4⋊Dic11C2311yescharacteristic
96C2×C4⋊Dic11C2311yescharacteristic
97C2×C4⋊Dic11C2311yescharacteristic
98#66977—22no—
99#66977C2×C414yes—
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×Dic11C2311yescharacteristic
109C22×C11⋊C8C2311yescharacteristic
110C22×C11⋊C8C2311yescharacteristic
111C2×C8×D11—22no—
112C2×C8×D11—22no—
113C2×C8×D11—41no—
114#66950—22no—
115#66950C2×C414yescomplemented
116#66945—22no—
117#66945—22no—
118#66945—41no—
119#66945C2×C414yescomplemented
120#66941—22no—
121#66941C2×C414yescomplemented
122#66940—22no—
123#66940C2×C414yescomplemented
124#66938—28no—
125#66932—28no—
126#66929—28no—
127C4×Dic22—28no—
128C11⋊#95—21no—
129C11⋊#95—21no—
130C11⋊#95—21no—
131C11⋊#95—21no—
132C11⋊#95—21no—
133C22⋊(C11⋊C8)—22no—
134(C2×D11)⋊C8—22no—
135#66880—22no—
136#66880—41no—
137#66879—22no—
138Dic11⋊C8—22no—
139#66874—22no—
140#66874—41no—
141#22494—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—21no—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—42no—
153C22×C4×C11—42no—
154C22×C4×C11—81no—
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—24no—
176C2×Dic22—21no—
177C2×Dic22—21no—
178C2×Dic22—21no—
179C2×Dic22—21no—
180C2×Dic22—21no—
181C2×Dic22—42no—
182C2×Dic22—42no—
183C2×Dic22C22×C412yes—
184C11×M16—44no—
185C2×C8×C11—21no—
186C2×C8×C11—21no—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11—21no—
190C2×C8×C11#4112yes—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—21no—
193C11×C4⋊C4—21no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4—42no—
197C11×C4⋊C4C22×C412yes—
198C11×C4⋊C4C22×C412yes—
199C11×C4⋊C4#4112yes—
200C11×C22⋊C4—24no—
201C42×C11—24no—
202C22⋊Dic11—24no—
203C22⋊Dic11—42no—
204C22⋊Dic11C22⋊C414yes—
205(C2×D11)⋊C4—24no—
206(C2×D11)⋊C4—24no—
207(C2×D11)⋊C4—42no—
208(C2×D11)⋊C4—81no—
209(C2×D11)⋊C4C22⋊C414yes—
210C4⋊Dic11—24no—
211C4⋊Dic11—21no—
212C4⋊Dic11—21no—
213C4⋊Dic11—21no—
214C4⋊Dic11—21no—
215C4⋊Dic11—21no—
216C4⋊Dic11C22×C412yes—
217Dic11⋊C4—24no—
218Dic11⋊C4—24no—
219Dic11⋊C4—24no—
220Dic11⋊C4C22⋊C414yes—
221C4×Dic11—24no—
222C4×Dic11—24no—
223C4×Dic11—42no—
224C4×Dic11—81no—
225C4×Dic11C22×C412yes—
226C4×Dic11C2×D412yes—
227C2×C11⋊C8—21no—
228C2×C11⋊C8—21no—
229C2×C11⋊C8—21no—
230C2×C11⋊C8—21no—
231C2×C11⋊C8—21no—
232C2×C11⋊C8—21no—
233C8×D11—44no—
234C2×#556—111no—
235C2×#435—111no—
236#2352—111no—
237#1993—111no—
238#1987—111no—
239#1894—111no—
240#1892—111no—
241#1873—111no—
242#1872—111no—
243#1825—111no—
244#1825—111no—
245#1805—111no—
246#1763—111no—
247#1736D1111yescharacteristic, complemented
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—22no—
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—84no—
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—41no—
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—48no—
319Dic22—41no—
320Dic22—41no—
321C8×C11—22no—
322C8×C11—41no—
323C11⋊C8—41no—
324C11⋊C8—41no—
325C22×M16C2×D1111yescharacteristic
326C23×C8—111no—
327#556—118no—
328#556—224no—
329C2×C4⋊Q8—111no—
330C2×#126—221no—
331C2×#126—221no—
332C2×#124—221no—
333C2×C22⋊Q8—111no—
334C2×C22⋊Q8—111no—
335C2×C4×Q8—111no—
336C2×C4×Q8—221no—
337C2×C4×D4—111no—
338C2×#117—111no—
339C2×#117—111no—
340C2×#117C2×D1111yescharacteristic
341C22×C4⋊C4C2×D1111yescharacteristic
342#435—224no—
343C2×C4⋊C8—111no—
344C2×#103—111no—
345C2×#103—111no—
346C2×#103—111no—
347C2×#103—111no—
348C2×C22⋊C8—111no—
349C2×C22⋊C8—111no—
350C2×#97—111no—
351#388—221no—
352#387—221no—
353#386—221no—
354#382—111no—
355#380—111no—
356#380—111no—
357C4×C4⋊C4—111no—
358C4×C22⋊C4—221no—
359#340—111no—
360#340—111no—
361#340—111no—
362#340—111no—
363#340—111no—
364#340—111no—
365#340—111no—
366#340—111no—
367#340C2×D1111yescharacteristic
368#340C2×D1111yescharacteristic
369#340C2×D1111yescharacteristic
370#340C2×D1111yescharacteristic
371C22×C11—22no—
372C22×C11—22no—
373C22×C11—22no—
374C22×C11—41no—
375C22×C11—41no—
376C22×C11—41no—
377C22×C11—41no—
378C22×C11C22×C22⋊C411yescharacteristic
379C22×C11#54611yescharacteristic
380C22×C11#54711yescharacteristic
381C22×C11#57511yescharacteristic
382C22×C11#57511yescharacteristic
383C22×C11#57711yescharacteristic
384C22×C11#57811yescharacteristic
385C2×D11—22no—
386C2×D11—22no—
387C2×D11—22no—
388C2×D11—41no—
389C2×D11—41no—
390C2×D11—41no—
391C2×D11—41no—
392C4×C11—22no—
393C4×C11—42no—
394C4×C11—42no—
395C4×C11—42no—
396C4×C11—81no—
397C4×C11C4×#4111yescharacteristic
398C4×C11#52011yescharacteristic
399C4×C11#54611yescharacteristic
400C4×C11#54711yescharacteristic
401Dic11—22no—
402Dic11—22no—
403Dic11—22no—
404Dic11—42no—
405Dic11—42no—
406Dic11—81no—
407Dic11—81no—
408C22×Q8—111no—
409C22×Q8—221no—
410C22×D4—111no—
411C23×C4—21no—
412C23×C4—111no—
413C23×C4C22×D1111yescharacteristic
414C2×M16—22no—
415C2×M16—22no—
416C2×M16—41no—
417C22×C8—111no—
418C22×C8—111no—
419C22×C8—222no—
420C22×C8—222no—
421C22×C8—441no—
422C22×C8C22×D1111yescharacteristic
423C22×C8C22×D1111yescharacteristic
424C4⋊Q8—114no—
425C4⋊Q8—222no—
426#126—228no—
427#126—228no—
428#124—228no—
429C22⋊Q8—114no—
430C22⋊Q8—114no—
431C22⋊Q8—222no—
432C22⋊Q8—222no—
433C4×Q8—114no—
434C4×Q8—228no—
435C4×Q8—222no—
436C4×D4—114no—
437C4×D4—114no—
438#117—22no—
439#117—114no—
440#117—222no—
441#117—222no—
442#117—441no—
443#117C4×D1114yes—
444C2×C4⋊C4—22no—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—41no—
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⋊C4C22×D1111yescharacteristic
456C2×C4⋊C4C22×D1111yescharacteristic
457C2×C4⋊C4C22×D1111yescharacteristic
458C2×C4⋊C4C22×D1111yescharacteristic
459C2×C22⋊C4—21no—
460C2×C22⋊C4—111no—
461C2×C22⋊C4—111no—
462C2×C22⋊C4—221no—
463C2×C22⋊C4—221no—
464C2×C22⋊C4—221no—
465C2×C22⋊C4—221no—
466C2×C22⋊C4—221no—
467C2×C22⋊C4—221no—
468C2×C42—21no—
469C2×C42—111no—
470C2×C42—221no—
471C2×C42—221no—
472C2×C42—221no—
473C2×C42—221no—
474C4⋊C8—222no—
475#103—222no—
476#103—222no—
477#103—441no—
478#103—441no—
479C22⋊C8—222no—
480C22⋊C8—222no—
481#97—222no—
482#95—221no—
483#95—221no—
484#95—221no—
485#95—221no—
486#95—221no—
487C2×C11—42no—
488C2×C11#233911yescharacteristic
489C2×C11#289611yescharacteristic
490C2×C11#289811yescharacteristic
491C2×C11#331111yescharacteristic
492C2×C11#331311yescharacteristic
493C2×C11#334911yescharacteristic
494C2×C11#335011yescharacteristic
495D11—42no—
496C24—111no—
497C24D4×D1111yescharacteristic
498C2×Q8—112no—
499C2×Q8—224no—
500C2×Q8—221no—
501C2×Q8—221no—
502C2×Q8—221no—
503C2×Q8—221no—
504C2×Q8—221no—
505C2×Q8—442no—
506C2×Q8—442no—
507C2×D4—114no—
508C2×D4—441no—
509C2×D4—441no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—81no—
521C22×C4—111no—
522C22×C4—111no—
523C22×C4—111no—
524C22×C4—112no—
525C22×C4—112no—
526C22×C4—221no—
527C22×C4—221no—
528C22×C4—221no—
529C22×C4—221no—
530C22×C4—221no—
531C22×C4—221no—
532C22×C4—221no—
533C22×C4—221no—
534C22×C4C2×C4×D1112yes—
535C22×C4D4×D1111yescharacteristic
536C22×C4D4×D1112yes—
537C22×C4C23×D1111yescharacteristic
538M16—44no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—221no—
545C2×C8—221no—
546C2×C8—221no—
547C2×C8—221no—
548C2×C8—221no—
549C2×C8—221no—
550C2×C8—444no—
551C2×C8#433912yes—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—42no—
558C4⋊C4—114no—
559C4⋊C4—112no—
560C4⋊C4—224no—
561C4⋊C4—224no—
562C4⋊C4—224no—
563C4⋊C4—224no—
564C4⋊C4—221no—
565C4⋊C4—221no—
566C4⋊C4—221no—
567C4⋊C4—221no—
568C4⋊C4—221no—
569C4⋊C4C2×C4×D1112yes—
570C4⋊C4C2×C4×D1112yes—
571C4⋊C4#433912yes—
572C22⋊C4—24no—
573C22⋊C4—114no—
574C22⋊C4—114no—
575C22⋊C4—224no—
576C22⋊C4—224no—
577C22⋊C4—224no—
578C22⋊C4—442no—
579C22⋊C4—442no—
580C22⋊C4—881no—
581C42—24no—
582C42—112no—
583C42—112no—
584C42—224no—
585C42—224no—
586C42—442no—
587C42—881no—
588C11#2249411yescharacteristic, complemented, Sylow
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—112no—
596C23—221no—
597C23—221no—
598C23—221no—
599C23—221no—
600C23—221no—
601C23—221no—
602C23C22⋊C4×D1112yes—
603C23C2×D4×D1111yescharacteristic
604Q8—222no—
605Q8—222no—
606Q8—448no—
607Q8—441no—
608Q8—441no—
609D4—444no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
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—41no—
628C2×C4—84no—
629C2×C4—112no—
630C2×C4—112no—
631C2×C4—112no—
632C2×C4—221no—
633C2×C4—221no—
634C2×C4—221no—
635C2×C4—221no—
636C2×C4—221no—
637C2×C4—221no—
638C2×C4—222no—
639C2×C4—222no—
640C2×C4—222no—
641C2×C4—222no—
642C2×C4—222no—
643C2×C4—222no—
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×C4—441no—
653C2×C4—441no—
654C2×C4C22⋊C4×D1112yes—
655C2×C4C22×C4×D1111yescharacteristic
656C2×C4C2×#433911yescharacteristic
657C2×C4C2×#433911yescharacteristic
658C2×C4C2×D4×D1111yescharacteristic
659C2×C4#6703711yescharacteristic
660C2×C4#6704011yescharacteristic
661C8—22no—
662C8—41no—
663C8—441no—
664C8—441no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—222no—
673C22—222no—
674C22—222no—
675C22—441no—
676C22—441no—
677C22—441no—
678C22—441no—
679C22C2×C22⋊C4×D1111yescharacteristic
680C22#1062302111yescharacteristic
681C22#1062303811yescharacteristic
682C22#1062330411yescharacteristic
683C22#1062330611yescharacteristic
684C22#1062330811yescharacteristic
685C22#1062331011yescharacteristic
686C4—22no—
687C4—42no—
688C4—42no—
689C4—42no—
690C4—81no—
691C4—222no—
692C4—222no—
693C4—222no—
694C4—442no—
695C4—442no—
696C4—881no—
697C4—881no—
698C4C4×#433911yescharacteristic
699C4#1062302111yescharacteristic
700C4#1062303511yescharacteristic
701C4#1062303811yescharacteristic
702C2—42no—
703C2—442no—
704C2#1307144311yescharacteristic
705C2#1307713211yescharacteristic
706C2#1307714711yescharacteristic
707C2#1308065311yescharacteristic
708C2#1308068311yescharacteristic
709C2#1308114711yescharacteristic
710C2#1308116211yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1736C2
socleC23×C11C22×D4
prime radicalC22×C22⋊D11D4
cosocleC22×C4×C11C24
hypercenter#1736D11
hypocenterC11#22494
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1736

Complements

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

NH ≅ G/Ntype
4. #13069587C2semidirect
5. #13069562C2semidirect
6. #13069049C2semidirect
7. #13069038C2semidirect
8. #13068927C2semidirect
9. #13068923C2semidirect
10. #13068711C2semidirect
11. #13068710C2semidirect
12. #13068630C2semidirect
13. #13068445C2semidirect
14. #13068331C2semidirect
15. C11×#1736C2semidirect
23. #10623064C4semidirect
115. #66950C2×C4semidirect
119. #66945C2×C4semidirect
121. #66941C2×C4semidirect
123. #66940C2×C4semidirect
247. #1736D11semidirect
588. C11#22494semidirect

Maximal subgroups

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

subgroupindex
C2×#106230642
C2×#106227402
#130715412
#130695872
#130695622
#130690492
#130690382
#130689272
#130689232
#130687112
#130687102
#130686302
#130684452
#130683312
C11×#17362
#2249411