Finite Group Databasebeta

← #14810710

Subgroups — #14810710

Order 2816.

1104 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×#10623110C211yesmaximal, characteristic, complemented
2C2×#10622669C211yesmaximal, characteristic, complemented
3C2×#10622670C211yesmaximal, characteristic
4#13069767C211yesmaximal, characteristic, complemented
5#13069762C211yesmaximal, characteristic, complemented
6#13069757C211yesmaximal, characteristic, complemented
7#13069752C211yesmaximal, characteristic, complemented
8#13069573C211yesmaximal, characteristic, complemented
9#13069553C211yesmaximal, characteristic, complemented
10#13068967C211yesmaximal, characteristic
11#13068967C211yesmaximal, characteristic
12#13068953C211yesmaximal, characteristic, complemented
13#13068953C211yesmaximal, characteristic, complemented
14C4×#66873C211yesmaximal, characteristic, complemented
15C11×#2592C211yesmaximal, characteristic, complemented
16C2×C11×#124C2211yescharacteristic
17C2×C4×Q8×C11C2211yescharacteristic
18C2×#66999—21no—
19C22×#4325C2211yescharacteristic
20C22×#4323C2211yescharacteristic
21#10623110—24no—
22#10623110—24no—
23C2×#66949—21no—
24C2×#66949—21no—
25C2×C4⋊C4×D11—21no—
26C2×C4×D44C2211yescharacteristic
27C2×C4×D44C2211yescharacteristic
28C2×C4×D44C2211yescharacteristic
29C2×#66923C2211yescharacteristic
30C2×#66923C2211yescharacteristic
31C2×#66922C2211yescharacteristic
32C11×#397—21no—
33C11×#393—21no—
34C11×#391C2211yescharacteristic
35C11×#391C2211yescharacteristic
36C11×#390C2211yescharacteristic
37C11×#390C2211yescharacteristic
38C11×#388—21no—
39C11×#388—21no—
40C4×C11×C4⋊C4C2211yescharacteristic
41C2×#66899C2211yescharacteristic
42C2×#66899C2211yescharacteristic
43C2×#66899C2211yescharacteristic
44C2×#66896C2211yescharacteristic
45C2×#66896C2211yescharacteristic
46C2×#66896C2211yescharacteristic
47#10622670—24no—
48#10622669—24no—
49C2×#66873C2211yescharacteristic
50C2×#66873C2211yescharacteristic
51C2×C4⋊(C11⋊C8)C2211yescharacteristic
52C2×C4×C11⋊C8C2211yescharacteristic
53#10622167C2211yescharacteristic
54#10622167C2211yescharacteristic
55#10622167C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622162C2211yescharacteristic
60#10622162C2211yescharacteristic
61#10622162C2211yescharacteristic
62#10622162C2211yescharacteristic
63C22×Q8×C11D411yescharacteristic
64C22×Q8×C11C2311yescharacteristic
65C22×D4×C11C2311yescharacteristic
66C22×D44C2311yescharacteristic
67C22×C4×D11—21no—
68C22×C4×D11—21no—
69C22×C4×D11—21no—
70C22×Dic22—21no—
71C11×#124—22no—
72C11×#124—22no—
73C4×Q8×C11—22no—
74C4×Q8×C11—22no—
75C2×C11×C4⋊C4D411yescharacteristic
76C2×C11×C4⋊C4D411yescharacteristic
77C2×C11×C4⋊C4D411yescharacteristic
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C22⋊C4—21no—
81C2×C11×C22⋊C4—21no—
82C2×C11×C22⋊C4—21no—
83C2×C11×C22⋊C4—21no—
84C2×C11×C22⋊C4—21no—
85C2×C11×C22⋊C4—21no—
86C2×C42×C11—21no—
87C2×C42×C11C2311yescharacteristic
88C2×C42×C11C2311yescharacteristic
89C2×C42×C11C2311yescharacteristic
90#66999—28no—
91C2×#4325—22no—
92C2×#4325—22no—
93C2×#4325—22no—
94C2×#4323—22no—
95C2×#4323—22no—
96C2×#4323—22no—
97C2×(C2×D11)⋊C4—21no—
98C2×(C2×D11)⋊C4—21no—
99C2×(C2×D11)⋊C4—21no—
100C2×C4⋊Dic11—21no—
101C2×C4⋊Dic11C2311yescharacteristic
102C2×C4⋊Dic11C2311yescharacteristic
103C2×C4⋊Dic11C2311yescharacteristic
104C2×Dic11⋊C4—21no—
105C2×Dic11⋊C4—21no—
106C2×Dic11⋊C4—21no—
107C2×Dic11⋊C4—21no—
108C22×C11⋊C8C2311yescharacteristic
109C22×C11⋊C8C2311yescharacteristic
110C22×C11⋊C8C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112#66949—28no—
113#66949—28no—
114C4⋊C4×D11—28no—
115C4×D44—22no—
116C4×D44—22no—
117C4×D44—22no—
118C4×D44—22no—
119C4×D44—22no—
120C4×D44D414yes—
121#66923—22no—
122#66923—22no—
123#66923—22no—
124#66923D414yes—
125#66922—22no—
126#66922—22no—
127C11×#95—21no—
128C11×#95—21no—
129C11×#95—21no—
130C11×#95—21no—
131C11×#95—21no—
132#66899—22no—
133#66899—22no—
134#66899—22no—
135#66896—22no—
136#66896—22no—
137#66896—22no—
138#66873—22no—
139#66873—22no—
140C4⋊(C11⋊C8)—22no—
141C4×C11⋊C8—22no—
142#25938—111nomaximal, Sylow
143C24×C11—21no—
144C23×D11—21no—
145C2×Q8×C11—22no—
146C2×Q8×C11—22no—
147C2×Q8×C11—21no—
148C2×Q8×C11—21no—
149C2×Q8×C11—21no—
150C2×Q8×C11—21no—
151C2×Q8×C11—21no—
152C2×Q8×C11—21no—
153C2×Q8×C11—41no—
154C2×D4×C11—21no—
155C2×D4×C11—21no—
156C2×D4×C11—21no—
157C2×D4×C11—21no—
158C2×D4×C11—21no—
159C2×D4×C11—21no—
160C22×C4×C11—21no—
161C22×C4×C11—21no—
162C22×C4×C11—21no—
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2×D411yescharacteristic
166C22×C4×C11C2×D411yescharacteristic
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11C2411yescharacteristic
170C22×Dic11—21no—
171C22×Dic11—21no—
172C22×Dic11—21no—
173C2×D44—21no—
174C2×D44—21no—
175C2×D44—21no—
176C2×D44C2×D412yes—
177C2×D44#4112yes—
178C2×D44#4112yes—
179C2×C4×D11—24no—
180C2×C4×D11—24no—
181C2×C4×D11—24no—
182C2×C4×D11—42no—
183C2×C4×D11—42no—
184C2×C4×D11—81no—
185C2×C4×D11—81no—
186C2×C4×D11—81no—
187C2×C4×D11—81no—
188C2×Dic22—24no—
189C2×Dic22—81no—
190C2×Dic22—81no—
191C11×C4⋊C4—22no—
192C11×C4⋊C4—22no—
193C11×C4⋊C4—22no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4—21no—
197C11×C4⋊C4—21no—
198C11×C22⋊C4—42no—
199C11×C22⋊C4—42no—
200C11×C22⋊C4—42no—
201C11×C22⋊C4—42no—
202C11×C22⋊C4—81no—
203C11×C22⋊C4—81no—
204C42×C11—21no—
205C42×C11—21no—
206C42×C11—21no—
207C42×C11—21no—
208C42×C11—81no—
209C42×C11C2×D412yes—
210C42×C11C2×D412yes—
211#4325—44no—
212#4323—44no—
213(C2×D11)⋊C4—24no—
214(C2×D11)⋊C4—24no—
215(C2×D11)⋊C4—24no—
216C4⋊Dic11—24no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219C4⋊Dic11—21no—
220C4⋊Dic11C2×D412yes—
221C4⋊Dic11C2×D412yes—
222C4⋊Dic11C2×D412yes—
223Dic11⋊C4—24no—
224Dic11⋊C4—24no—
225Dic11⋊C4—24no—
226Dic11⋊C4—24no—
227C2×C11⋊C8—21no—
228C2×C11⋊C8—21no—
229C2×C11⋊C8—21no—
230C2×C11⋊C8—21no—
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×#554—111no—
240C2×#488—111no—
241C2×#463—111no—
242#2592D1111yescharacteristic, complemented
243#2026—111no—
244#2025—111no—
245#2024—111no—
246#2023—111no—
247#1989—111no—
248#1984—111no—
249#1879—111no—
250#1879—111no—
251#1877—111no—
252#1877—111no—
253C4×#102—111no—
254C23×C11—41no—
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—22no—
264C22×D11—22no—
265C22×D11—41no—
266C22×D11—41no—
267C22×D11—41no—
268C22×D11—41no—
269Q8×C11—44no—
270Q8×C11—41no—
271Q8×C11—41no—
272Q8×C11—41no—
273Q8×C11—41no—
274D4×C11—41no—
275D4×C11—41no—
276D4×C11—41no—
277D4×C11—41no—
278C2×C4×C11—21no—
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—21no—
287C2×C4×C11—21no—
288C2×C4×C11—21no—
289C2×C4×C11—21no—
290C2×C4×C11—21no—
291C2×C4×C11—21no—
292C2×C4×C11—21no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11—41no—
298C2×C4×C11—41no—
299C2×C4×C11—41no—
300C2×C4×C11—41no—
301C2×C4×C11—41no—
302C2×C4×C11#12012yes—
303C2×C4×C11#12012yes—
304C2×C4×C11#13512yes—
305C2×C4×C11C22×D411yescharacteristic
306C2×C4×C11C22×D411yescharacteristic
307C2×C4×C11C2×#4111yescharacteristic
308C2×C4×C11C2×#4111yescharacteristic
309C2×C4×C112−1+411yescharacteristic
310C2×C4×C112−1+411yescharacteristic
311C2×Dic11—22no—
312C2×Dic11—22no—
313C2×Dic11—22no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11—41no—
320D44—22no—
321D44—22no—
322D44—22no—
323D44#12414yes—
324C4×D11—48no—
325C4×D11—84no—
326C4×D11—84no—
327Dic22—84no—
328C11⋊C8—41no—
329C11⋊C8—41no—
330C11⋊C8—41no—
331C11⋊C8—41no—
332C22×SD16—111no—
333C22×D8—111no—
334#554—224no—
335#554—224no—
336C2×C4⋊Q8—111no—
337C2×#125—111no—
338C2×#125—111no—
339C2×#124C2×D1111yescharacteristic
340C2×C22⋊Q8—221no—
341C2×C22⋊Q8—221no—
342C2×C22⋊Q8—221no—
343C2×C4×Q8C2×D1111yescharacteristic
344C2×C4×D4—111no—
345C2×C4×D4—111no—
346C2×C4×D4—111no—
347C22×C4⋊C4—221no—
348#488—224no—
349#463—224no—
350C2×C4⋊C8—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×C4×C8—111no—
360#397—21no—
361#393—21no—
362#391C2×D1111yescharacteristic
363#391C2×D1111yescharacteristic
364#390C2×D1111yescharacteristic
365#390C2×D1111yescharacteristic
366#388—21no—
367#388—21no—
368C4×C4⋊C4C2×D1111yescharacteristic
369#340—111no—
370#340—111no—
371#340—111no—
372#340—111no—
373#340—111no—
374#340—111no—
375#336—111no—
376#336—111no—
377#336—111no—
378#336—111no—
379C22×C11—81no—
380C22×C11—81no—
381C22×C11—81no—
382C22×C11—81no—
383C22×C11—81no—
384C22×C11—81no—
385C22×C11—81no—
386C22×C11C2×#12011yescharacteristic
387C22×C11#54811yescharacteristic
388C22×C11#54811yescharacteristic
389C22×C11C2×#13511yescharacteristic
390C22×C11#57511yescharacteristic
391C22×C11#57611yescharacteristic
392C22×C11#57711yescharacteristic
393C2×D11—24no—
394C2×D11—42no—
395C2×D11—42no—
396C2×D11—42no—
397C2×D11—42no—
398C2×D11—42no—
399C2×D11—42no—
400C4×C11—22no—
401C4×C11—22no—
402C4×C11—22no—
403C4×C11—41no—
404C4×C11—41no—
405C4×C11—41no—
406C4×C11—81no—
407C4×C11—81no—
408C4×C11—81no—
409C4×C11C2×#12411yescharacteristic
410C4×C11#53611yescharacteristic
411C4×C11#54811yescharacteristic
412C4×C11#54811yescharacteristic
413Dic11—42no—
414Dic11—42no—
415Dic11—42no—
416C22×Q8—221no—
417C22×Q8C22⋊D1111yescharacteristic
418C22×Q8C22×D1111yescharacteristic
419C22×D4—111no—
420C22×D4C22×D1111yescharacteristic
421C23×C4—221no—
422C23×C4—221no—
423C23×C4—221no—
424C2×SD16—222no—
425C2×SD16—222no—
426C2×SD16—222no—
427C2×D8—222no—
428C2×D8—222no—
429C2×D8—222no—
430C22×C8—111no—
431C22×C8—111no—
432C22×C8—111no—
433C22×C8—111no—
434C4⋊Q8—222no—
435C4⋊Q8—222no—
436#125—114no—
437#125—222no—
438#125—222no—
439#125—222no—
440#124—22no—
441#124—22no—
442C22⋊Q8—228no—
443C22⋊Q8—228no—
444C22⋊Q8—228no—
445C4×Q8—22no—
446C4×Q8—22no—
447C4×D4—114no—
448C4×D4—222no—
449C4×D4—222no—
450C4×D4—222no—
451C4×D4—222no—
452C4×D4—222no—
453C2×C4⋊C4—111no—
454C2×C4⋊C4—111no—
455C2×C4⋊C4—111no—
456C2×C4⋊C4—228no—
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×C4⋊C4C22×D1111yescharacteristic
467C2×C22⋊C4—21no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4—21no—
470C2×C22⋊C4—21no—
471C2×C22⋊C4—21no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—221no—
474C2×C22⋊C4—221no—
475C2×C22⋊C4—221no—
476C2×C42—21no—
477C2×C42C22×D1111yescharacteristic
478C2×C42C22×D1111yescharacteristic
479C2×C42C22×D1111yescharacteristic
480C4⋊C8—222no—
481#103—222no—
482#103—222no—
483#103—222no—
484#102—222no—
485#102—222no—
486#102—222no—
487#102—222no—
488#102—222no—
489C4×C8—222no—
490#95—21no—
491#95—21no—
492#95—21no—
493#95—21no—
494#95—21no—
495C2×C11—161no—
496C2×C11#243611yescharacteristic
497C2×C11#300211yescharacteristic
498C2×C11#301211yescharacteristic
499C2×C11#336011yescharacteristic
500C2×C11#336111yescharacteristic
501C2×C11#337011yescharacteristic
502C2×C11#337611yescharacteristic
503D11—44no—
504C24—21no—
505C24—221no—
506C2×Q8—22no—
507C2×Q8—22no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—41no—
515C2×Q8—224no—
516C2×Q8—881no—
517C2×Q8—881no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—21no—
524C2×D4—112no—
525C2×D4—112no—
526C2×D4—112no—
527C2×D4—221no—
528C2×D4—221no—
529C2×D4—221no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—224no—
534C22×C4—224no—
535C22×C4—221no—
536C22×C4—221no—
537C22×C4—221no—
538C22×C4—224no—
539C22×C4—442no—
540C22×C4—442no—
541C22×C4—881no—
542C22×C4—881no—
543C22×C4—881no—
544C22×C4—881no—
545C22×C4C2×C22⋊D1111yescharacteristic
546C22×C4C2×C22⋊D1111yescharacteristic
547C22×C4C2×C22⋊D1111yescharacteristic
548C22×C4C2×C22⋊D1111yescharacteristic
549C22×C4C2×C22⋊D1111yescharacteristic
550C22×C4C2×C22⋊D1111yescharacteristic
551C22×C4C23×D1111yescharacteristic
552SD16—444no—
553D8—444no—
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—
564C2×C8—221no—
565C2×C8—221no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—112no—
574C4⋊C4—112no—
575C4⋊C4—112no—
576C4⋊C4—224no—
577C4⋊C4—224no—
578C4⋊C4—224no—
579C4⋊C4—224no—
580C4⋊C4—224no—
581C4⋊C4—221no—
582C4⋊C4—221no—
583C4⋊C4—221no—
584C22⋊C4—42no—
585C22⋊C4—42no—
586C22⋊C4—42no—
587C22⋊C4—42no—
588C22⋊C4—81no—
589C22⋊C4—81no—
590C22⋊C4—224no—
591C22⋊C4—224no—
592C22⋊C4—224no—
593C42—21no—
594C42—21no—
595C42—21no—
596C42—21no—
597C42—81no—
598C42D4×D1112yes—
599C42D4×D1112yes—
600C11#2593811yescharacteristic, complemented, Sylow
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—222no—
609C23—222no—
610C23—222no—
611C23—441no—
612C23—441no—
613C23—441no—
614C23—441no—
615C23C22×C22⋊D1111yescharacteristic
616Q8—44no—
617Q8—41no—
618Q8—41no—
619Q8—41no—
620Q8—41no—
621Q8—884no—
622D4—41no—
623D4—41no—
624D4—41no—
625D4—41no—
626D4—114no—
627D4—222no—
628D4—222no—
629D4—222no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—222no—
655C2×C4—222no—
656C2×C4—222no—
657C2×C4—448no—
658C2×C4—441no—
659C2×C4—441no—
660C2×C4—441no—
661C2×C4—441no—
662C2×C4—441no—
663C2×C4—441no—
664C2×C4—884no—
665C2×C4—884no—
666C2×C4#6699012yes—
667C2×C4#6699012yes—
668C2×C4#6700312yes—
669C2×C4C2×D4×D1111yescharacteristic
670C2×C4C2×D4×D1111yescharacteristic
671C2×C4#41×D1111yescharacteristic
672C2×C4#41×D1111yescharacteristic
673C2×C4#6704311yescharacteristic
674C2×C4#6704311yescharacteristic
675C8—441no—
676C8—441no—
677C8—441no—
678C8—441no—
679C22—81no—
680C22—81no—
681C22—81no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—224no—
687C22—442no—
688C22—442no—
689C22—442no—
690C22—442no—
691C22—442no—
692C22—442no—
693C22C2×#6699011yescharacteristic
694C22C2×#6700311yescharacteristic
695C22#1062335311yescharacteristic
696C22#1062336211yescharacteristic
697C22#1062336211yescharacteristic
698C22#1062336611yescharacteristic
699C22#1062336811yescharacteristic
700C4—22no—
701C4—22no—
702C4—22no—
703C4—41no—
704C4—41no—
705C4—41no—
706C4—81no—
707C4—81no—
708C4—81no—
709C4—442no—
710C4—442no—
711C4—442no—
712C4D11×#12411yescharacteristic
713C4#1062320611yescharacteristic
714C4#1062320811yescharacteristic
715C4#1062320811yescharacteristic
716C2—161no—
717C2—444no—
718C2#1307227111yescharacteristic
719C2#1307783211yescharacteristic
720C2#1307791711yescharacteristic
721C2#1308126111yescharacteristic
722C2#1308127211yescharacteristic
723C2#1308136311yescharacteristic
724C2#1308143711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC11×#2592C2
socleC23×C11C22×D4
prime radicalC22×#4323C22
hypercenter#2592D11
hypocenterC11#25938
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ #2592

Complements

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

NH ≅ G/Ntype
1. C2×#10623110C2semidirect
2. C2×#10622669C2semidirect
4. #13069767C2semidirect
5. #13069762C2semidirect
6. #13069757C2semidirect
7. #13069752C2semidirect
8. #13069573C2semidirect
9. #13069553C2semidirect
12. #13068953C2semidirect
13. #13068953C2semidirect
14. C4×#66873C2semidirect
15. C11×#2592C2semidirect
242. #2592D11semidirect
600. C11#25938semidirect

Maximal subgroups

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

subgroupindex
C2×#106231102
C2×#106226692
C2×#106226702
#130697672
#130697622
#130697572
#130697522
#130695732
#130695532
#130689672
#130689532
C4×#668732
C11×#25922
#2593811