Finite Group Databasebeta

← #14765153

Subgroups — #14765153

Order 2816.

968 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622660C211yesmaximal, characteristic
2#13071204C211yesmaximal, characteristic
3#13069486C211yesmaximal, characteristic, complemented
4#13069473C211yesmaximal, characteristic, complemented
5#13069312C211yesmaximal, characteristic, complemented
6#13069291C211yesmaximal, characteristic, complemented
7#13069250C211yesmaximal, characteristic, complemented
8#13069243C211yesmaximal, characteristic, complemented
9#13068971C211yesmaximal, characteristic, complemented
10#13068957C211yesmaximal, characteristic, complemented
11#13068924C211yesmaximal, characteristic, complemented
12#13068808C211yesmaximal, characteristic, complemented
13#13068554C211yesmaximal, characteristic
14#13068382C211yesmaximal, characteristic, complemented
15C11×#2323C211yesmaximal, characteristic, complemented
16C22×#4339C2211yescharacteristic
17C2×C11×C22⋊Q8C2211yescharacteristic
18C2×C4×Q8×C11C2211yescharacteristic
19C2×C11×#117C2211yescharacteristic
20C22×#4326C2211yescharacteristic
21C22×#4325C2211yescharacteristic
22C22×C4⋊Dic11C2211yescharacteristic
23C11×#391C2211yescharacteristic
24C11×#389—21no—
25C11×#389C2211yescharacteristic
26C11×#388—21no—
27C11×#388—21no—
28C11×#387—21no—
29C11×#380C2211yescharacteristic
30C4×C11×C4⋊C4C2211yescharacteristic
31C2×#66899C2211yescharacteristic
32C2×#66899C2211yescharacteristic
33C2×C22⋊(C11⋊C8)C2211yescharacteristic
34C2×C22⋊(C11⋊C8)C2211yescharacteristic
35#10622660C418yescomplemented
36#10622600—21no—
37#10622600—21no—
38C2×#66874C2211yescharacteristic
39C2×#66874C2211yescharacteristic
40C2×#66874C2211yescharacteristic
41C2×#66873C2211yescharacteristic
42C2×#66873C2211yescharacteristic
43C2×#66873C2211yescharacteristic
44C2×#66872C2211yescharacteristic
45C2×#66872C2211yescharacteristic
46#10622571—21no—
47#10622571—21no—
48#10622552C2211yescharacteristic
49#10622552C2211yescharacteristic
50#10622542C2211yescharacteristic
51#10622542C2211yescharacteristic
52C2×#66867C2211yescharacteristic
53C2×C4×C11⋊C8C2211yescharacteristic
54#10622167C2211yescharacteristic
55#10622167C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622162C2211yescharacteristic
59#10622162C2211yescharacteristic
60C22×Q8×C11C2311yescharacteristic
61C23×C4×C11C2311yescharacteristic
62C22×C22⋊D11—21no—
63C23×Dic11—21no—
64C2×#4339—22no—
65C2×#4339—41no—
66C2×#4339—41no—
67C2×#4339—41no—
68C2×#4339—41no—
69C2×#4339C2×C414yes—
70C22×D44C2311yescharacteristic
71C22×C4×D11—21no—
72C22×Dic22C2311yescharacteristic
73C11×C22⋊Q8—22no—
74C11×C22⋊Q8C2×C414yes—
75C4×Q8×C11—41no—
76C4×Q8×C11—41no—
77C11×#117—41no—
78C11×#117—41no—
79C2×C11×C4⋊C4—21no—
80C2×C11×C4⋊C4—21no—
81C2×C11×C4⋊C4—21no—
82C2×C11×C4⋊C4D411yescharacteristic
83C2×C11×C4⋊C4D411yescharacteristic
84C2×C11×C4⋊C4C2311yescharacteristic
85C2×C11×C4⋊C4C2311yescharacteristic
86C2×C11×C4⋊C4C2311yescharacteristic
87C2×C11×C22⋊C4—21no—
88C2×C11×C22⋊C4—21no—
89C2×C11×C22⋊C4D411yescharacteristic
90C2×C11×C22⋊C4D411yescharacteristic
91C2×C42×C11—21no—
92C2×C42×C11—21no—
93C2×C42×C11C2311yescharacteristic
94C2×C42×C11C2311yescharacteristic
95C2×#4326—41no—
96C2×#4326—41no—
97C2×#4326C2×C414yescomplemented
98C2×#4325—41no—
99C2×#4325—41no—
100C2×#4325C2×C414yescomplemented
101C2×(C2×D11)⋊C4—21no—
102C2×(C2×D11)⋊C4—21no—
103C2×(C2×D11)⋊C4—21no—
104C2×(C2×D11)⋊C4—21no—
105C2×C4⋊Dic11—21no—
106C2×C4⋊Dic11—41no—
107C2×C4⋊Dic11—41no—
108C2×C4⋊Dic11C2311yescharacteristic
109C2×C4⋊Dic11C2311yescharacteristic
110C22×C11⋊C8C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112C22×C11⋊C8C2311yescharacteristic
113C22×C11⋊C8C2311yescharacteristic
114C11×#95—21no—
115C11×#95—21no—
116C11×#95—21no—
117C11×#95—21no—
118C11×#95—21no—
119#66899—41no—
120#66899—41no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C22⋊(C11⋊C8)—22no—
126C22⋊(C11⋊C8)C2×C414yes—
127#66874—41no—
128#66874—41no—
129#66874C2×C414yescomplemented
130#66873—41no—
131#66873—41no—
132#66873C2×C414yescomplemented
133#66872—41no—
134#66872—41no—
135#66867—41no—
136C4×C11⋊C8—41no—
137#22059—111nomaximal, Sylow
138C24×C11C2×D411yescharacteristic
139C23×D11—21no—
140C2×Q8×C11—21no—
141C2×Q8×C11—21no—
142C2×Q8×C11—21no—
143C2×Q8×C11—21no—
144C2×Q8×C11—21no—
145C2×Q8×C11C22×C412yes—
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—21no—
153C22×C4×C11—21no—
154C22×C4×C11C22×C412yes—
155C22×C4×C11C2×D411yescharacteristic
156C22×C4×C11C2×D411yescharacteristic
157C22×C4×C11C2×D411yescharacteristic
158C22×C4×C11C2×D411yescharacteristic
159C22×C4×C11C2×D411yescharacteristic
160C22×C4×C11#4112yes—
161C22×C4×C11C2411yescharacteristic
162C2×C22⋊D11—24no—
163C2×C22⋊D11—42no—
164C2×C22⋊D11—42no—
165C22×Dic11—21no—
166C22×Dic11—21no—
167C22×Dic11—21no—
168C22×Dic11—42no—
169C22×Dic11—81no—
170C22×Dic11—81no—
171#4339—44no—
172#4339—44no—
173#4339—44no—
174#4339—44no—
175C2×D44—21no—
176C2×D44—21no—
177C2×D44—21no—
178C2×D44—21no—
179C2×D44—21no—
180C2×D44C22×C412yes—
181C2×C4×D11—24no—
182C2×C4×D11—42no—
183C2×C4×D11—42no—
184C2×Dic22—21no—
185C2×Dic22—21no—
186C2×Dic22—21no—
187C2×Dic22—21no—
188C2×Dic22—21no—
189C2×Dic22C22×C412yes—
190C11×C4⋊C4—24no—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—21no—
193C11×C4⋊C4—21no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4—41no—
197C11×C4⋊C4—41no—
198C11×C4⋊C4—42no—
199C11×C4⋊C4—81no—
200C11×C4⋊C4C22×C412yes—
201C11×C22⋊C4—24no—
202C11×C22⋊C4—41no—
203C11×C22⋊C4—41no—
204C11×C22⋊C4—81no—
205C42×C11—21no—
206C42×C11—21no—
207C42×C11—21no—
208C42×C11—21no—
209C42×C11—42no—
210C42×C11—81no—
211#4326—44no—
212#4325—44no—
213(C2×D11)⋊C4—81no—
214(C2×D11)⋊C4—81no—
215(C2×D11)⋊C4—81no—
216(C2×D11)⋊C4—81no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219C4⋊Dic11—21no—
220C4⋊Dic11—21no—
221C4⋊Dic11—42no—
222C2×C11⋊C8—21no—
223C2×C11⋊C8—21no—
224C2×C11⋊C8—21no—
225C2×C11⋊C8—21no—
226C2×C11⋊C8—21no—
227C2×C11⋊C8—21no—
228C2×C11⋊C8—21no—
229C2×C11⋊C8—21no—
230C2×C11⋊C8—21no—
231C2×C11⋊C8—21no—
232C2×C11⋊C8C22×C412yes—
233C2×C11⋊C8C22×C412yes—
234C2×#452—111no—
235#2323D1111yescharacteristic, complemented
236#2311—111no—
237#1971—111no—
238#1968—111no—
239#1936—111no—
240#1933—111no—
241#1927—111no—
242#1926—111no—
243#1880—111no—
244#1878—111no—
245#1872—111no—
246#1853—111no—
247#1788—111no—
248#1750—111no—
249C23×C11—21no—
250C23×C11—21no—
251C23×C11—21no—
252C23×C11—21no—
253C23×C11—21no—
254C23×C11—21no—
255C23×C11C4×D412yes—
256C23×C11C22×D411yescharacteristic
257C22×D11—22no—
258C22×D11—41no—
259C22×D11—41no—
260C22×D11—41no—
261C22×D11—41no—
262C22×D11—41no—
263C22×D11—41no—
264Q8×C11—22no—
265Q8×C11—22no—
266Q8×C11—41no—
267Q8×C11—41no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—22no—
271C2×C4×C11—22no—
272C2×C4×C11—22no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—21no—
277C2×C4×C11—21no—
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—41no—
289C2×C4×C11—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11—41no—
298C2×C4×C11C4×D412yes—
299C2×C4×C11C23×C411yescharacteristic
300C2×C4×C11C2×#4111yescharacteristic
301C2×C4×C11H(5,𝔽2)11yescharacteristic
302C2×C4×C11H(5,𝔽2)11yescharacteristic
303C2×C4×C11H(5,𝔽2)11yescharacteristic
304C2×C4×C11H(5,𝔽2)11yescharacteristic
305C22⋊D11—48no—
306C2×Dic11—22no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11—84no—
316D44—22no—
317D44—22no—
318D44—41no—
319D44—41no—
320C4×D11—48no—
321Dic22—22no—
322Dic22—22no—
323Dic22—41no—
324Dic22—41no—
325C11⋊C8—22no—
326C11⋊C8—22no—
327C11⋊C8—41no—
328C11⋊C8—41no—
329C22×#41—111no—
330C22×Q16—111no—
331C22×SD16—111no—
332C2×C22⋊Q8C2×D1111yescharacteristic
333C2×C4×Q8C2×D1111yescharacteristic
334C2×#117C2×D1111yescharacteristic
335C22×C4⋊C4—111no—
336#452—118no—
337C2×#106—111no—
338C2×#106—111no—
339C2×#103—111no—
340C2×#103—111no—
341C2×#103—111no—
342C2×#103—111no—
343C2×#103—111no—
344C2×#102—111no—
345C2×#102—111no—
346C2×#102—111no—
347C2×C22⋊C8—111no—
348C2×C22⋊C8—111no—
349C2×#97—111no—
350C2×C4×C8—111no—
351#391—111no—
352#391—111no—
353#391C2×D1111yescharacteristic
354#390—111no—
355#390—111no—
356#389—21no—
357#389C2×D1111yescharacteristic
358#388—21no—
359#388—21no—
360#387—21no—
361#386—221no—
362#386—221no—
363#380—221no—
364#380—221no—
365#380C2×D1111yescharacteristic
366C4×C4⋊C4C2×D1111yescharacteristic
367#340—111no—
368#340—111no—
369#340—111no—
370#340—111no—
371#336—111no—
372#336—111no—
373C22×C11—22no—
374C22×C11—22no—
375C22×C11—22no—
376C22×C11—41no—
377C22×C11—41no—
378C22×C11—41no—
379C22×C11—41no—
380C22×C11C2×C4×D411yescharacteristic
381C22×C11#53411yescharacteristic
382C22×C11#53511yescharacteristic
383C22×C11#57711yescharacteristic
384C22×C11#57711yescharacteristic
385C22×C11#57711yescharacteristic
386C22×C11#57811yescharacteristic
387C2×D11—42no—
388C2×D11—42no—
389C2×D11—42no—
390C2×D11—81no—
391C2×D11—81no—
392C2×D11—81no—
393C2×D11—81no—
394C4×C11—22no—
395C4×C11—42no—
396C4×C11—41no—
397C4×C11—41no—
398C4×C11—41no—
399C4×C11—41no—
400C4×C11—42no—
401C4×C11—81no—
402C4×C11—81no—
403C4×C11#51811yescharacteristic
404C4×C11#51811yescharacteristic
405C4×C11#53811yescharacteristic
406C4×C11#53811yescharacteristic
407Dic11—42no—
408Dic11—81no—
409Dic11—81no—
410C2×#41—114no—
411C2×#41—222no—
412C2×#41—441no—
413C2×#41—441no—
414C2×#41—441no—
415C2×#41—441no—
416C22×Q8—111no—
417C22×Q8C22×D1111yescharacteristic
418C22×D4—111no—
419C22×D4—221no—
420C23×C4—221no—
421C23×C4—221no—
422C23×C4C22×D1111yescharacteristic
423C2×Q16—114no—
424C2×Q16—441no—
425C2×Q16—441no—
426C2×SD16—114no—
427C2×SD16—441no—
428C2×SD16—441no—
429C22×C8—111no—
430C22×C8—111no—
431C22×C8—111no—
432C22×C8—111no—
433C22⋊Q8—22no—
434C22⋊Q8C4×D1114yes—
435C4×Q8—41no—
436C4×Q8—41no—
437#117—41no—
438#117—41no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—21no—
442C2×C4⋊C4—111no—
443C2×C4⋊C4—111no—
444C2×C4⋊C4—221no—
445C2×C4⋊C4—441no—
446C2×C4⋊C4—441no—
447C2×C4⋊C4C22⋊D1111yescharacteristic
448C2×C4⋊C4C22⋊D1111yescharacteristic
449C2×C4⋊C4C22×D1111yescharacteristic
450C2×C4⋊C4C22×D1111yescharacteristic
451C2×C4⋊C4C22×D1111yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—221no—
455C2×C22⋊C4—221no—
456C2×C22⋊C4—221no—
457C2×C22⋊C4—221no—
458C2×C22⋊C4C22⋊D1111yescharacteristic
459C2×C22⋊C4C22⋊D1111yescharacteristic
460C2×C42—21no—
461C2×C42—21no—
462C2×C42C22×D1111yescharacteristic
463C2×C42C22×D1111yescharacteristic
464#106—441no—
465#106—441no—
466#103—114no—
467#103—441no—
468#103—441no—
469#103—441no—
470#103—441no—
471#102—114no—
472#102—441no—
473#102—441no—
474C22⋊C8—114no—
475C22⋊C8—222no—
476#97—441no—
477C4×C8—441no—
478#95—21no—
479#95—21no—
480#95—21no—
481#95—21no—
482#95—21no—
483#95—221no—
484#95—221no—
485#95—221no—
486#95—221no—
487C2×C11—42no—
488C2×C11#232111yescharacteristic
489C2×C11#294711yescharacteristic
490C2×C11#295211yescharacteristic
491C2×C11#320111yescharacteristic
492C2×C11#320411yescharacteristic
493C2×C11#322211yescharacteristic
494C2×C11#322511yescharacteristic
495D11—82no—
496C24—221no—
497C24C2×C22⋊D1111yescharacteristic
498#41—444no—
499#41—444no—
500#41—444no—
501#41—444no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—112no—
508C2×Q8—221no—
509C2×Q8—221no—
510C2×Q8—221no—
511C2×Q8—221no—
512C2×Q8—221no—
513C2×Q8C2×C4×D1112yes—
514C2×D4—112no—
515C2×D4—224no—
516C2×D4—221no—
517C2×D4—221no—
518C2×D4—221no—
519C2×D4—221no—
520C2×D4—221no—
521C2×D4—442no—
522C2×D4—442no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—221no—
532C22×C4—224no—
533C22×C4—221no—
534C22×C4—221no—
535C22×C4—442no—
536C22×C4—442no—
537C22×C4—442no—
538C22×C4—881no—
539C22×C4—881no—
540C22×C4C2×C4×D1112yes—
541C22×C4#433912yes—
542C22×C4C2×C22⋊D1111yescharacteristic
543C22×C4C2×C22⋊D1111yescharacteristic
544C22×C4C2×C22⋊D1111yescharacteristic
545C22×C4C2×C22⋊D1111yescharacteristic
546C22×C4C2×C22⋊D1111yescharacteristic
547C22×C4C23×D1111yescharacteristic
548Q16—444no—
549SD16—444no—
550C2×C8—112no—
551C2×C8—112no—
552C2×C8—221no—
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—
562C4⋊C4—24no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—41no—
569C4⋊C4—41no—
570C4⋊C4—42no—
571C4⋊C4—81no—
572C4⋊C4—221no—
573C4⋊C4—221no—
574C4⋊C4—221no—
575C4⋊C4—221no—
576C4⋊C4—442no—
577C4⋊C4C2×C4×D1112yes—
578C22⋊C4—24no—
579C22⋊C4—41no—
580C22⋊C4—41no—
581C22⋊C4—81no—
582C22⋊C4—881no—
583C22⋊C4—881no—
584C22⋊C4—881no—
585C22⋊C4—881no—
586C42—21no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—42no—
591C42—81no—
592C11#2205911yescharacteristic, complemented, Sylow
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—222no—
600C23—441no—
601C23—441no—
602C23—441no—
603C23—441no—
604C23—441no—
605C23—441no—
606C23C4×C22⋊D1112yes—
607C23C22×C22⋊D1111yescharacteristic
608Q8—22no—
609Q8—22no—
610Q8—41no—
611Q8—41no—
612Q8—222no—
613Q8—222no—
614Q8—441no—
615Q8—441no—
616D4—222no—
617D4—222no—
618D4—448no—
619D4—441no—
620D4—441no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
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—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—222no—
652C2×C4—448no—
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—884no—
662C2×C4C4×C22⋊D1112yes—
663C2×C4C22×C4×D1111yescharacteristic
664C2×C4C2×#433911yescharacteristic
665C2×C4#6703711yescharacteristic
666C2×C4#6703711yescharacteristic
667C2×C4#6704211yescharacteristic
668C2×C4#6704211yescharacteristic
669C8—222no—
670C8—222no—
671C8—441no—
672C8—441no—
673C22—22no—
674C22—22no—
675C22—22no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—442no—
681C22—442no—
682C22—442no—
683C22—881no—
684C22—881no—
685C22—881no—
686C22—881no—
687C22C2×C4×C22⋊D1111yescharacteristic
688C22#1062333511yescharacteristic
689C22#1062336111yescharacteristic
690C22#1062336711yescharacteristic
691C22#1062336811yescharacteristic
692C22#1062336811yescharacteristic
693C22#1062336911yescharacteristic
694C4—22no—
695C4—42no—
696C4—41no—
697C4—41no—
698C4—41no—
699C4—41no—
700C4—42no—
701C4—81no—
702C4—81no—
703C4—442no—
704C4—881no—
705C4—881no—
706C4#1062307611yescharacteristic
707C4#1062307611yescharacteristic
708C4#1062309111yescharacteristic
709C4#1062309111yescharacteristic
710C2—42no—
711C2—882no—
712C2#1307127011yescharacteristic
713C2#1307745911yescharacteristic
714C2#1307749711yescharacteristic
715C2#1307949811yescharacteristic
716C2#1307952211yescharacteristic
717C2#1307968211yescharacteristic
718C2#1307971911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#2323C2
socleC23×C11C22×D4
prime radicalC22×#4339C22
cosocleC22×C4×C11C24
hypercenter#2323D11
hypocenterC11#22059
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2323

Complements

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

NH ≅ G/Ntype
3. #13069486C2semidirect
4. #13069473C2semidirect
5. #13069312C2semidirect
6. #13069291C2semidirect
7. #13069250C2semidirect
8. #13069243C2semidirect
9. #13068971C2semidirect
10. #13068957C2semidirect
11. #13068924C2semidirect
12. #13068808C2semidirect
14. #13068382C2semidirect
15. C11×#2323C2semidirect
35. #10622660C4semidirect
97. C2×#4326C2×C4semidirect
100. C2×#4325C2×C4semidirect
129. #66874C2×C4semidirect
132. #66873C2×C4semidirect
235. #2323D11semidirect
592. C11#22059semidirect

Maximal subgroups

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

subgroupindex
C2×#106226602
#130712042
#130694862
#130694732
#130693122
#130692912
#130692502
#130692432
#130689712
#130689572
#130689242
#130688082
#130685542
#130683822
C11×#23232
#2205911