Finite Group Databasebeta

← #14797975

Subgroups — #14797975

Order 2816.

960 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
2C2×#10622643C211yesmaximal, characteristic, complemented
3#13071456C211yesmaximal, characteristic
4#13070150C211yesmaximal, characteristic, complemented
5#13070052C211yesmaximal, characteristic, complemented
6#13069931C211yesmaximal, characteristic, complemented
7#13069809C211yesmaximal, characteristic, complemented
8#13069312C211yesmaximal, characteristic, complemented
9#13069231C211yesmaximal, characteristic, complemented
10#13068971C211yesmaximal, characteristic, complemented
11#13068960C211yesmaximal, characteristic, complemented
12#13068883C211yesmaximal, characteristic, complemented
13#13068618C211yesmaximal, characteristic, complemented
14#13068554C211yesmaximal, characteristic
15C11×#2423C211yesmaximal, characteristic, complemented
16C22×#4339C2211yescharacteristic
17C2×C11×C22⋊Q8C2211yescharacteristic
18C2×C4×Q8×C11C2211yescharacteristic
19C22×#4326C2211yescharacteristic
20C22×#4325C2211yescharacteristic
21C2×C4×Dic22C2211yescharacteristic
22C2×C4×Dic22C2211yescharacteristic
23C11×#399—21no—
24C11×#398—21no—
25C11×#391C2211yescharacteristic
26C11×#389C2211yescharacteristic
27C11×#388—21no—
28C11×#387—21no—
29C11×#384C2211yescharacteristic
30C11×#380C2211yescharacteristic
31C4×C11×C22⋊C4C2211yescharacteristic
32C2×#66899C2211yescharacteristic
33C2×#66899C2211yescharacteristic
34#10622825C2211yescharacteristic
35C2×C22⋊(C11⋊C8)C2211yescharacteristic
36C2×C22⋊(C11⋊C8)C2211yescharacteristic
37#10622660—24no—
38#10622643—24no—
39C2×#66874C2211yescharacteristic
40C2×#66874C2211yescharacteristic
41C2×#66874C2211yescharacteristic
42C2×#66873C2211yescharacteristic
43C2×#66873C2211yescharacteristic
44C2×#66873C2211yescharacteristic
45C2×#66872C2211yescharacteristic
46C2×#66872C2211yescharacteristic
47#10622570—21no—
48#10622570—21no—
49#10622552C2211yescharacteristic
50#10622552C2211yescharacteristic
51C2×C4⋊(C11⋊C8)C2211yescharacteristic
52C2×#66867C2211yescharacteristic
53#10622280—21no—
54#10622279—21no—
55#10622167C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622162C2211yescharacteristic
60#10622162C2211yescharacteristic
61C22×Q8×C11C2311yescharacteristic
62C23×C4×C11C2311yescharacteristic
63C22×C22⋊D11—21no—
64C2×#4339—22no—
65C2×#4339—22no—
66C2×#4339—22no—
67C2×#4339—22no—
68C2×#4339—41no—
69C2×#4339—41no—
70C22×D44C2311yescharacteristic
71C22×C4×D11—21no—
72C22×Dic22C2311yescharacteristic
73C11×C22⋊Q8—22no—
74C11×C22⋊Q8—41no—
75C4×Q8×C11—22no—
76C4×Q8×C11—41no—
77C2×C11×C4⋊C4—21no—
78C2×C11×C4⋊C4—21no—
79C2×C11×C4⋊C4—21no—
80C2×C11×C4⋊C4—21no—
81C2×C11×C4⋊C4—21no—
82C2×C11×C4⋊C4C2311yescharacteristic
83C2×C11×C4⋊C4C2311yescharacteristic
84C2×C11×C4⋊C4C2311yescharacteristic
85C2×C11×C22⋊C4—21no—
86C2×C11×C22⋊C4—21no—
87C2×C11×C22⋊C4D411yescharacteristic
88C2×C11×C22⋊C4D411yescharacteristic
89C2×C42×C11—21no—
90C2×C42×C11C2311yescharacteristic
91C2×C42×C11C2311yescharacteristic
92C2×C22⋊Dic11—21no—
93C2×#4326—22no—
94C2×#4326—22no—
95C2×#4326D414yes—
96C2×#4325—22no—
97C2×#4325—22no—
98C2×#4325—41no—
99C2×(C2×D11)⋊C4—21no—
100C2×(C2×D11)⋊C4—21no—
101C2×(C2×D11)⋊C4—21no—
102C2×(C2×D11)⋊C4—21no—
103C2×C4⋊Dic11C2311yescharacteristic
104C2×C4⋊Dic11C2311yescharacteristic
105C2×Dic11⋊C4—21no—
106C2×Dic11⋊C4—21no—
107C2×C4×Dic11—21no—
108C2×C4×Dic11—21no—
109C22×C11⋊C8C2311yescharacteristic
110C22×C11⋊C8C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112C22×C11⋊C8C2311yescharacteristic
113C4×Dic22—22no—
114C4×Dic22—22no—
115C4×Dic22—41no—
116C4×Dic22—41no—
117C11×#95—21no—
118C11×#95—21no—
119C11×#95—21no—
120C11×#95—21no—
121C11×#95D411yescharacteristic
122C11×#95D411yescharacteristic
123#66899—22no—
124#66899—41no—
125C11⋊#95—21no—
126C22⋊(C11⋊C8)—22no—
127C22⋊(C11⋊C8)—41no—
128#66874—22no—
129#66874—22no—
130#66874—22no—
131#66873—22no—
132#66873—22no—
133#66873—41no—
134#66872—22no—
135#66872—41no—
136C4⋊(C11⋊C8)—41no—
137#66867—22no—
138#24924—111nomaximal, Sylow
139C24×C11C2×D411yescharacteristic
140C23×D11—21no—
141C2×Q8×C11—21no—
142C2×Q8×C11—21no—
143C2×Q8×C11—21no—
144C2×Q8×C11—21no—
145C2×Q8×C11—21no—
146C2×Q8×C11C2×D412yes—
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×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
157C22×C4×C11C2×D411yescharacteristic
158C22×C4×C11C2×D411yescharacteristic
159C22×C4×C11C2×D411yescharacteristic
160C22×C4×C11C2×D411yescharacteristic
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2411yescharacteristic
163C2×C22⋊D11—24no—
164C2×C22⋊D11—42no—
165C2×C22⋊D11—42no—
166C22×Dic11—21no—
167C22×Dic11—21no—
168C22×Dic11—21no—
169#4339—44no—
170#4339—44no—
171#4339—44no—
172#4339—44no—
173C2×D44—21no—
174C2×D44—21no—
175C2×D44—21no—
176C2×D44—21no—
177C2×D44—21no—
178C2×D44#4112yes—
179C2×C4×D11—24no—
180C2×C4×D11—42no—
181C2×C4×D11—42no—
182C2×Dic22—21no—
183C2×Dic22—21no—
184C2×Dic22—21no—
185C2×Dic22C2×D412yes—
186C2×Dic22#4112yes—
187C2×Dic22#4112yes—
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⋊C4—42no—
195C11×C4⋊C4—42no—
196C11×C4⋊C4—42no—
197C11×C4⋊C4—81no—
198C11×C4⋊C4—81no—
199C11×C22⋊C4—22no—
200C11×C22⋊C4—41no—
201C11×C22⋊C4—42no—
202C11×C22⋊C4—81no—
203C42×C11—21no—
204C42×C11—21no—
205C42×C11—21no—
206C42×C11—21no—
207C42×C11—42no—
208C22⋊Dic11—81no—
209#4326—28no—
210#4325—44no—
211(C2×D11)⋊C4—42no—
212(C2×D11)⋊C4—42no—
213(C2×D11)⋊C4—81no—
214(C2×D11)⋊C4—81no—
215C4⋊Dic11—21no—
216C4⋊Dic11—21no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219Dic11⋊C4—42no—
220Dic11⋊C4—42no—
221C4×Dic11—42no—
222C4×Dic11—42no—
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⋊C8—21no—
233C2×C11⋊C8—21no—
234C2×C11⋊C8C2×D412yes—
235C2×#452—111no—
236C2×#441—111no—
237#2423D1111yescharacteristic, complemented
238#2341—111no—
239#2094—111no—
240#2077—111no—
241#2055—111no—
242#2035—111no—
243#1936—111no—
244#1924—111no—
245#1880—111no—
246#1878—111no—
247#1865—111no—
248#1803—111no—
249#1788—111no—
250C23×C11—21no—
251C23×C11—21no—
252C23×C11—21no—
253C23×C11—21no—
254C23×C11—21no—
255C23×C11—21no—
256C23×C11—21no—
257C23×C11C22×D411yescharacteristic
258C22×D11—22no—
259C22×D11—41no—
260C22×D11—41no—
261C22×D11—41no—
262C22×D11—41no—
263C22×D11—41no—
264C22×D11—41no—
265Q8×C11—22no—
266Q8×C11—22no—
267Q8×C11—41no—
268Q8×C11—41no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—22no—
275C2×C4×C11—21no—
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—41no—
285C2×C4×C11—41no—
286C2×C4×C11—41no—
287C2×C4×C11—41no—
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×C11—41no—
299C2×C4×C11#13712yes—
300C2×C4×C11C22×D411yescharacteristic
301C2×C4×C11C2×#4111yescharacteristic
302C2×C4×C11C2×#4111yescharacteristic
303C2×C4×C11C2×#4111yescharacteristic
304C2×C4×C11H(5,𝔽2)11yescharacteristic
305C2×C4×C11H(5,𝔽2)11yescharacteristic
306C22⋊D11—48no—
307C2×Dic11—22no—
308C2×Dic11—22no—
309C2×Dic11—22no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316D44—22no—
317D44—22no—
318D44—41no—
319D44—41no—
320C4×D11—48no—
321Dic22—22no—
322Dic22—22no—
323Dic22—22no—
324Dic22#12314yes—
325C11⋊C8—22no—
326C11⋊C8—41no—
327C11⋊C8—41no—
328C11⋊C8—41no—
329C22×#41—111no—
330C22×Q16—111no—
331C22×SD16—111no—
332C2×C22⋊Q8C2×D1111yescharacteristic
333C2×C4×Q8—111no—
334C2×C4×Q8—111no—
335C2×C4×Q8C2×D1111yescharacteristic
336#452—224no—
337#441—224no—
338C2×#106—111no—
339C2×#106—111no—
340C2×C4⋊C8—111no—
341C2×#103—111no—
342C2×#103—111no—
343C2×#103—111no—
344C2×#103—111no—
345C2×#103—111no—
346C2×#102—111no—
347C2×#102—111no—
348C2×#102—111no—
349C2×C22⋊C8—111no—
350C2×C22⋊C8—111no—
351C2×#97—111no—
352#399—21no—
353#398—21no—
354#391C2×D1111yescharacteristic
355#390—111no—
356#390—111no—
357#390—221no—
358#390—221no—
359#389C2×D1111yescharacteristic
360#388—21no—
361#387—21no—
362#384C2×D1111yescharacteristic
363#380—111no—
364#380—221no—
365#380C2×D1111yescharacteristic
366C4×C22⋊C4—221no—
367C4×C22⋊C4C2×D1111yescharacteristic
368#340—111no—
369#340—111no—
370#340—111no—
371#340—111no—
372#336—111no—
373#336—111no—
374C22×C11—41no—
375C22×C11—41no—
376C22×C11—41no—
377C22×C11—41no—
378C22×C11—41no—
379C22×C11—41no—
380C22×C11—41no—
381C22×C11#52511yescharacteristic
382C22×C11D4211yescharacteristic
383C22×C11#54611yescharacteristic
384C22×C11C2×#13711yescharacteristic
385C22×C11#57511yescharacteristic
386C22×C11#57711yescharacteristic
387C22×C11#57711yescharacteristic
388C2×D11—42no—
389C2×D11—42no—
390C2×D11—42no—
391C2×D11—81no—
392C2×D11—81no—
393C2×D11—81no—
394C2×D11—81no—
395C4×C11—22no—
396C4×C11—41no—
397C4×C11—42no—
398C4×C11—41no—
399C4×C11—41no—
400C4×C11—41no—
401C4×C11—81no—
402C4×C11—81no—
403C4×C11—81no—
404C4×C11C2×#12311yescharacteristic
405C4×C11#53811yescharacteristic
406C4×C11#54611yescharacteristic
407C4×C11#55111yescharacteristic
408Dic11—24no—
409Dic11—81no—
410Dic11—81no—
411C2×#41—222no—
412C2×#41—222no—
413C2×#41—222no—
414C2×#41—222no—
415C2×#41—441no—
416C2×#41—441no—
417C22×Q8—111no—
418C22×Q8C22×D1111yescharacteristic
419C22×D4—111no—
420C22×D4—221no—
421C23×C4—221no—
422C23×C4C22×D1111yescharacteristic
423C2×Q16—114no—
424C2×Q16—222no—
425C2×Q16—222no—
426C2×SD16—222no—
427C2×SD16—222no—
428C2×SD16—441no—
429C22×C8—111no—
430C22×C8—111no—
431C22×C8—111no—
432C22×C8—111no—
433C22⋊Q8—22no—
434C22⋊Q8—41no—
435C4×Q8—22no—
436C4×Q8—41no—
437C4×Q8—222no—
438C4×Q8—222no—
439C4×Q8—441no—
440C4×Q8—441no—
441C2×C4⋊C4—21no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—21no—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—111no—
447C2×C4⋊C4—111no—
448C2×C4⋊C4—221no—
449C2×C4⋊C4—221no—
450C2×C4⋊C4C22×D1111yescharacteristic
451C2×C4⋊C4C22×D1111yescharacteristic
452C2×C4⋊C4C22×D1111yescharacteristic
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—221no—
456C2×C22⋊C4—221no—
457C2×C22⋊C4—221no—
458C2×C22⋊C4—221no—
459C2×C22⋊C4—221no—
460C2×C22⋊C4C22⋊D1111yescharacteristic
461C2×C22⋊C4C22⋊D1111yescharacteristic
462C2×C42—21no—
463C2×C42—221no—
464C2×C42—221no—
465C2×C42C22×D1111yescharacteristic
466C2×C42C22×D1111yescharacteristic
467#106—222no—
468#106—441no—
469C4⋊C8—441no—
470#103—222no—
471#103—222no—
472#103—222no—
473#103—222no—
474#103—441no—
475#102—222no—
476#102—222no—
477#102—441no—
478C22⋊C8—222no—
479C22⋊C8—441no—
480#97—222no—
481#95—21no—
482#95—21no—
483#95—21no—
484#95—21no—
485#95—221no—
486#95C22⋊D1111yescharacteristic
487#95C22⋊D1111yescharacteristic
488C2×C11—81no—
489C2×C11#241811yescharacteristic
490C2×C11#311611yescharacteristic
491C2×C11#312511yescharacteristic
492C2×C11#327111yescharacteristic
493C2×C11#327811yescharacteristic
494C2×C11#331611yescharacteristic
495C2×C11#331711yescharacteristic
496D11—82no—
497C24—221no—
498C24C2×C22⋊D1111yescharacteristic
499#41—444no—
500#41—444no—
501#41—444no—
502#41—444no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—112no—
509C2×Q8—112no—
510C2×Q8—112no—
511C2×Q8—221no—
512C2×Q8—221no—
513C2×Q8—221no—
514C2×Q8D4×D1112yes—
515C2×D4—112no—
516C2×D4—224no—
517C2×D4—221no—
518C2×D4—221no—
519C2×D4—221no—
520C2×D4—221no—
521C2×D4—221no—
522C2×D4—442no—
523C2×D4—442no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—224no—
535C22×C4—221no—
536C22×C4—221no—
537C22×C4—221no—
538C22×C4—442no—
539C22×C4—442no—
540C22×C4C2×C22⋊D1111yescharacteristic
541C22×C4C2×C22⋊D1111yescharacteristic
542C22×C4C2×C22⋊D1111yescharacteristic
543C22×C4C2×C22⋊D1111yescharacteristic
544C22×C4C2×C22⋊D1111yescharacteristic
545C22×C4C23×D1111yescharacteristic
546Q16—228no—
547SD16—444no—
548C2×C8—112no—
549C2×C8—221no—
550C2×C8—221no—
551C2×C8—221no—
552C2×C8—221no—
553C2×C8—221no—
554C2×C8—221no—
555C2×C8—221no—
556C2×C8—221no—
557C2×C8—221no—
558C2×C8—221no—
559C2×C8—221no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—81no—
570C4⋊C4—81no—
571C4⋊C4—221no—
572C4⋊C4—221no—
573C4⋊C4—221no—
574C4⋊C4—221no—
575C4⋊C4—442no—
576C4⋊C4—442no—
577C22⋊C4—22no—
578C22⋊C4—41no—
579C22⋊C4—42no—
580C22⋊C4—81no—
581C22⋊C4—442no—
582C22⋊C4—442no—
583C22⋊C4—881no—
584C22⋊C4—881no—
585C22⋊C4—881no—
586C42—21no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—42no—
591C42—442no—
592C42—442no—
593C11#2492411yescharacteristic, complemented, Sylow
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—222no—
602C23—441no—
603C23—441no—
604C23—441no—
605C23—441no—
606C23—441no—
607C23—441no—
608C23C22×C22⋊D1111yescharacteristic
609Q8—22no—
610Q8—22no—
611Q8—41no—
612Q8—41no—
613Q8—114no—
614Q8—222no—
615Q8—222no—
616Q8—222no—
617D4—222no—
618D4—222no—
619D4—448no—
620D4—441no—
621D4—441no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—22no—
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—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
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—41no—
652C2×C4—222no—
653C2×C4—222no—
654C2×C4—222no—
655C2×C4—448no—
656C2×C4—441no—
657C2×C4—441no—
658C2×C4—441no—
659C2×C4—441no—
660C2×C4—441no—
661C2×C4—441no—
662C2×C4#6699512yes—
663C2×C4C2×D4×D1111yescharacteristic
664C2×C4#6703711yescharacteristic
665C2×C4#41×D1111yescharacteristic
666C2×C4#41×D1111yescharacteristic
667C2×C4#41×D1111yescharacteristic
668C2×C4#6704211yescharacteristic
669C8—222no—
670C8—441no—
671C8—441no—
672C8—441no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—442no—
681C22—442no—
682C22—442no—
683C22—881no—
684C22—881no—
685C22—881no—
686C22—881no—
687C22D4×C22⋊D1111yescharacteristic
688C22C2×#6699511yescharacteristic
689C22#1062335311yescharacteristic
690C22#1062335911yescharacteristic
691C22#1062336011yescharacteristic
692C22#1062336711yescharacteristic
693C22#1062336811yescharacteristic
694C4—22no—
695C4—41no—
696C4—41no—
697C4—41no—
698C4—42no—
699C4—41no—
700C4—81no—
701C4—81no—
702C4—81no—
703C4—224no—
704C4—881no—
705C4—881no—
706C4D11×#12311yescharacteristic
707C4#1062318511yescharacteristic
708C4#1062318811yescharacteristic
709C4#1062319011yescharacteristic
710C2—81no—
711C2—882no—
712C2#1307207511yescharacteristic
713C2#1307877211yescharacteristic
714C2#1307888711yescharacteristic
715C2#1308019711yescharacteristic
716C2#1308027811yescharacteristic
717C2#1308072111yescharacteristic
718C2#1308073611yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC11×#2423C2
socleC23×C11C22×D4
prime radicalC22×#4339C22
hypercenter#2423D11
hypocenterC11#24924
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2423

Complements

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

NH ≅ G/Ntype
2. C2×#10622643C2semidirect
4. #13070150C2semidirect
5. #13070052C2semidirect
6. #13069931C2semidirect
7. #13069809C2semidirect
8. #13069312C2semidirect
9. #13069231C2semidirect
10. #13068971C2semidirect
11. #13068960C2semidirect
12. #13068883C2semidirect
13. #13068618C2semidirect
15. C11×#2423C2semidirect
237. #2423D11semidirect
593. C11#24924semidirect

Maximal subgroups

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

subgroupindex
C2×#106226602
C2×#106226432
#130714562
#130701502
#130700522
#130699312
#130698092
#130693122
#130692312
#130689712
#130689602
#130688832
#130686182
#130685542
C11×#24232
#2492411