Finite Group Databasebeta

← #14813987

Subgroups — #14813987

Order 2816.

1016 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622685C211yesmaximal, characteristic
2C2×#10622627C211yesmaximal, characteristic, complemented
3C4⋊C4×D44C211yesmaximal, characteristic, complemented
4#13070149C211yesmaximal, characteristic, complemented
5#13070118C211yesmaximal, characteristic, complemented
6#13070019C211yesmaximal, characteristic, complemented
7#13069847C211yesmaximal, characteristic, complemented
8#13069316C211yesmaximal, characteristic, complemented
9#13069182C211yesmaximal, characteristic, complemented
10#13068967C211yesmaximal, characteristic, complemented
11#13068967C211yesmaximal, characteristic, complemented
12#13068967C211yesmaximal, characteristic, complemented
13#13068877C211yesmaximal, characteristic, complemented
14#13068876C211yesmaximal, characteristic, complemented
15C11×#2445C211yesmaximal, characteristic, complemented
16C2×C11×#127C2211yescharacteristic
17C2×C11×#123—21no—
18C2×C4×D4×C11C2211yescharacteristic
19C22×#4323C2211yescharacteristic
20C22×#4323C2211yescharacteristic
21C2×C4⋊C4×D11—21no—
22C2×C4×D44C2211yescharacteristic
23C2×C4×D44C2211yescharacteristic
24C2×C4×D44C2211yescharacteristic
25C11×#394—21no—
26C11×#394—21no—
27C11×#390C2211yescharacteristic
28C11×#390C2211yescharacteristic
29C11×#390C2211yescharacteristic
30C11×#389C2211yescharacteristic
31C11×#386—21no—
32C4×C11×C4⋊C4C2211yescharacteristic
33C2×#66896C2211yescharacteristic
34C2×#66896C2211yescharacteristic
35C2×#66896C2211yescharacteristic
36C2×#66896C2211yescharacteristic
37C2×#66896C2211yescharacteristic
38C2×#66896C2211yescharacteristic
39#10622685—24no—
40#10622627—24no—
41#10622600—21no—
42C2×#66873C2211yescharacteristic
43C2×#66873C2211yescharacteristic
44C2×#66872C2211yescharacteristic
45C2×#66872C2211yescharacteristic
46#10622548C2211yescharacteristic
47#10622541C2211yescharacteristic
48#10622541C2211yescharacteristic
49C2×C4⋊(C11⋊C8)C2211yescharacteristic
50C2×#66867C2211yescharacteristic
51#10622281—21no—
52#10622281—21no—
53#10622167C2211yescharacteristic
54#10622167C2211yescharacteristic
55#10622167C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622162C2211yescharacteristic
58#10622162C2211yescharacteristic
59#10622162C2211yescharacteristic
60#10622162C2211yescharacteristic
61C22×D4×C11—21no—
62C22×D4×C11—21no—
63C22×D4×C11C2311yescharacteristic
64C22×D4×C11C2311yescharacteristic
65C23×C4×C11—21no—
66C22×D44C2311yescharacteristic
67C22×C4×D11—21no—
68C22×C4×D11—21no—
69C22×C4×D11—21no—
70C11×#127—22no—
71C11×#127—41no—
72C11×#123—44no—
73C4×D4×C11—22no—
74C4×D4×C11—41no—
75C2×C11×C4⋊C4—21no—
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×C11×C22⋊C4—21no—
87C2×C42×C11C2311yescharacteristic
88C2×C42×C11C2311yescharacteristic
89C2×C42×C11C2311yescharacteristic
90C2×#4323—22no—
91C2×#4323—22no—
92C2×#4323—22no—
93C2×#4323—22no—
94C2×#4323—22no—
95C2×#4323D414yes—
96C2×(C2×D11)⋊C4—21no—
97C2×(C2×D11)⋊C4—21no—
98C2×(C2×D11)⋊C4—21no—
99C2×C4⋊Dic11—21no—
100C2×C4⋊Dic11—21no—
101C2×C4⋊Dic11C2311yescharacteristic
102C2×C4⋊Dic11C2311yescharacteristic
103C2×C4⋊Dic11C2311yescharacteristic
104C2×Dic11⋊C4—21no—
105C2×Dic11⋊C4—21no—
106C22×C11⋊C8C2311yescharacteristic
107C22×C11⋊C8C2311yescharacteristic
108C22×C11⋊C8C2311yescharacteristic
109C22×C11⋊C8C2311yescharacteristic
110C4⋊C4×D11—44no—
111C4×D44—22no—
112C4×D44—22no—
113C4×D44—22no—
114C4×D44—22no—
115C4×D44—41no—
116C4×D44—41no—
117C11×#95—21no—
118C11×#95D411yescharacteristic
119C11×#95D411yescharacteristic
120#66896—22no—
121#66896—22no—
122#66896—22no—
123#66896—22no—
124#66896—22no—
125#66896—41no—
126C11⋊#95—21no—
127C11⋊#95—21no—
128#66873—22no—
129#66873—22no—
130#66872—22no—
131#66872—41no—
132C4⋊(C11⋊C8)—22no—
133#66867—22no—
134#26174—111nomaximal, Sylow
135C24×C11—21no—
136C24×C11—21no—
137C23×D11—21no—
138C2×D4×C11—21no—
139C2×D4×C11—21no—
140C2×D4×C11—21no—
141C2×D4×C11—21no—
142C2×D4×C11—21no—
143C2×D4×C11—21no—
144C2×D4×C11—21no—
145C2×D4×C11—21no—
146C2×D4×C11—21no—
147C2×D4×C11—21no—
148C2×D4×C11—21no—
149C2×D4×C11—42no—
150C2×D4×C11—42no—
151C2×D4×C11—42no—
152C2×D4×C11—42no—
153C2×D4×C11—81no—
154C2×D4×C11—81no—
155C2×D4×C11C2×D412yes—
156C22×C4×C11—21no—
157C22×C4×C11—21no—
158C22×C4×C11—42no—
159C22×C4×C11—42no—
160C22×C4×C11—81no—
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2×D411yescharacteristic
166C22×C4×C11C2×D411yescharacteristic
167C22×C4×C11C2411yescharacteristic
168C22×Dic11—21no—
169C22×Dic11—21no—
170C22×Dic11—21no—
171C2×D44—21no—
172C2×D44—21no—
173C2×D44—21no—
174C2×D44C2×D412yes—
175C2×D44#4112yes—
176C2×D44#4112yes—
177C2×C4×D11—24no—
178C2×C4×D11—42no—
179C2×C4×D11—42no—
180C2×C4×D11—42no—
181C2×C4×D11—42no—
182C2×C4×D11—42no—
183C2×C4×D11—42no—
184C2×C4×D11—81no—
185C2×C4×D11—81no—
186C11×C4⋊C4—22no—
187C11×C4⋊C4—22no—
188C11×C4⋊C4—21no—
189C11×C4⋊C4—21no—
190C11×C4⋊C4—21no—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—42no—
193C11×C22⋊C4—42no—
194C11×C22⋊C4—42no—
195C11×C22⋊C4—42no—
196C11×C22⋊C4—42no—
197C11×C22⋊C4—81no—
198C11×C22⋊C4—81no—
199C11×C22⋊C4—81no—
200C42×C11—21no—
201C42×C11—21no—
202C42×C11—21no—
203C42×C11—21no—
204C42×C11—21no—
205C42×C11—21no—
206#4323—28no—
207#4323—44no—
208(C2×D11)⋊C4—24no—
209(C2×D11)⋊C4—42no—
210(C2×D11)⋊C4—42no—
211C4⋊Dic11—21no—
212C4⋊Dic11—21no—
213C4⋊Dic11—21no—
214C4⋊Dic11—21no—
215C4⋊Dic11—21no—
216C4⋊Dic11—42no—
217C4⋊Dic11—81no—
218C4⋊Dic11#4112yes—
219Dic11⋊C4—42no—
220Dic11⋊C4—42no—
221C2×C11⋊C8—21no—
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⋊C8C2×D412yes—
233C2×#459—111no—
234C2×#442—111no—
235#2445D1111yescharacteristic, complemented
236D4×C4⋊C4—111no—
237#2094—111no—
238#2088—111no—
239#2071—111no—
240#2041—111no—
241#1936—111no—
242#1917—111no—
243#1879—111no—
244#1879—111no—
245#1879—111no—
246#1864—111no—
247#1864—111no—
248C23×C11—22no—
249C23×C11—41no—
250C23×C11—41no—
251C23×C11—41no—
252C23×C11—41no—
253C23×C11—41no—
254C23×C11—41no—
255C23×C11—41no—
256C23×C11—41no—
257C23×C11—41no—
258C23×C11—41no—
259C23×C11—41no—
260C23×C11—41no—
261C23×C11—41no—
262C23×C11C22×D411yescharacteristic
263C22×D11—22no—
264C22×D11—22no—
265C22×D11—22no—
266C22×D11—41no—
267C22×D11—41no—
268C22×D11—41no—
269C22×D11—41no—
270D4×C11—22no—
271D4×C11—22no—
272D4×C11—41no—
273D4×C11—41no—
274D4×C11—41no—
275D4×C11—41no—
276D4×C11—41no—
277D4×C11—41no—
278D4×C11—84no—
279D4×C11—84no—
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—21no—
294C2×C4×C11—21no—
295C2×C4×C11—21no—
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—84no—
303C2×C4×C11AGL(1,ℤ/8)12yes—
304C2×C4×C11AGL(1,ℤ/8)12yes—
305C2×C4×C11C22×D411yescharacteristic
306C2×C4×C11C2×#4111yescharacteristic
307C2×C4×C11C2×#4111yescharacteristic
308C2×C4×C11C2×#4111yescharacteristic
309C2×C4×C11H(5,𝔽2)11yescharacteristic
310C2×C4×C112−1+411yescharacteristic
311C2×Dic11—22no—
312C2×Dic11—41no—
313C2×Dic11—41no—
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#12314yescomplemented
324C4×D11—48no—
325C4×D11—84no—
326C4×D11—84no—
327C11⋊C8—22no—
328C11⋊C8—41no—
329C11⋊C8—41no—
330C11⋊C8—41no—
331C22×D8—111no—
332C22×D8—111no—
333C2×#127C2×D1111yescharacteristic
334C2×#123—21no—
335C2×C4×D4—111no—
336C2×C4×D4—111no—
337C2×C4×D4—111no—
338C2×C4×D4C2×D1111yescharacteristic
339C22×C4⋊C4—221no—
340#459—224no—
341#442—224no—
342C2×#106—111no—
343C2×#106—111no—
344C2×C4⋊C8—111no—
345C2×#102—111no—
346C2×#102—111no—
347C2×#102—111no—
348C2×#102—111no—
349C2×#102—111no—
350C2×#102—111no—
351C2×#102—111no—
352C2×#102—111no—
353C2×#97—111no—
354#394—21no—
355#394—21no—
356#390C2×D1111yescharacteristic
357#390C2×D1111yescharacteristic
358#390C2×D1111yescharacteristic
359#389—111no—
360#389—111no—
361#389C2×D1111yescharacteristic
362#386—21no—
363#385—221no—
364#385—221no—
365#384—111no—
366#380—221no—
367C4×C4⋊C4C2×D1111yescharacteristic
368#340—111no—
369#340—111no—
370#340—111no—
371#340—111no—
372#336—111no—
373#336—111no—
374#336—111no—
375#336—111no—
376C22×C11—42no—
377C22×C11—42no—
378C22×C11—42no—
379C22×C11—81no—
380C22×C11—81no—
381C22×C11—81no—
382C22×C11—81no—
383C22×C11—81no—
384C22×C11—81no—
385C22×C11—81no—
386C22×C11—81no—
387C22×C11—81no—
388C22×C11—81no—
389C22×C11—81no—
390C22×C11#52511yescharacteristic
391C22×C11D4211yescharacteristic
392C22×C11#54811yescharacteristic
393C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
394C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
395C22×C11#57611yescharacteristic
396C22×C11#57711yescharacteristic
397C2×D11—24no—
398C2×D11—42no—
399C2×D11—42no—
400C2×D11—42no—
401C2×D11—42no—
402C2×D11—42no—
403C2×D11—42no—
404C4×C11—22no—
405C4×C11—22no—
406C4×C11—41no—
407C4×C11—41no—
408C4×C11—41no—
409C4×C11—41no—
410C4×C11—81no—
411C4×C11—81no—
412C4×C11C2×#12311yescharacteristic
413C4×C11#53911yescharacteristic
414C4×C11#54711yescharacteristic
415C4×C11#55311yescharacteristic
416Dic11—42no—
417Dic11—81no—
418Dic11—81no—
419C22×D4—21no—
420C22×D4—21no—
421C22×D4—111no—
422C22×D4C22×D1111yescharacteristic
423C22×D4C22×D1111yescharacteristic
424C23×C4—21no—
425C23×C4—221no—
426C23×C4—221no—
427C23×C4—221no—
428C2×D8—114no—
429C2×D8—222no—
430C2×D8—222no—
431C2×D8—222no—
432C2×D8—222no—
433C2×D8—222no—
434C22×C8—111no—
435C22×C8—111no—
436C22×C8—111no—
437C22×C8—111no—
438#127—22no—
439#127—41no—
440#123—44no—
441C4×D4—22no—
442C4×D4—41no—
443C4×D4—222no—
444C4×D4—222no—
445C4×D4—222no—
446C4×D4—222no—
447C4×D4—441no—
448C4×D4—441no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—111no—
451C2×C4⋊C4—111no—
452C2×C4⋊C4—111no—
453C2×C4⋊C4—221no—
454C2×C4⋊C4—221no—
455C2×C4⋊C4—221no—
456C2×C4⋊C4—221no—
457C2×C4⋊C4—444no—
458C2×C4⋊C4C22⋊D1111yescharacteristic
459C2×C4⋊C4C22⋊D1111yescharacteristic
460C2×C4⋊C4C22×D1111yescharacteristic
461C2×C4⋊C4C22×D1111yescharacteristic
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—21no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4—221no—
470C2×C22⋊C4—221no—
471C2×C22⋊C4—221no—
472C2×C42C22×D1111yescharacteristic
473C2×C42C22×D1111yescharacteristic
474C2×C42C22×D1111yescharacteristic
475#106—222no—
476#106—441no—
477C4⋊C8—222no—
478#102—222no—
479#102—222no—
480#102—222no—
481#102—222no—
482#102—222no—
483#102—222no—
484#102—222no—
485#102—441no—
486#97—222no—
487#95—21no—
488#95—221no—
489#95—221no—
490#95C22⋊D1111yescharacteristic
491#95C22⋊D1111yescharacteristic
492C2×C11—82no—
493C2×C11—161no—
494C2×C11#244311yescharacteristic
495C2×C11#310911yescharacteristic
496C2×C11#311911yescharacteristic
497C2×C11#326411yescharacteristic
498C2×C11#327211yescharacteristic
499C2×C11#336611yescharacteristic
500C2×C11#337311yescharacteristic
501D11—44no—
502C24—21no—
503C24—21no—
504C24—221no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—42no—
517C2×D4—42no—
518C2×D4—42no—
519C2×D4—42no—
520C2×D4—81no—
521C2×D4—81no—
522C2×D4—112no—
523C2×D4—112no—
524C2×D4—112no—
525C2×D4—221no—
526C2×D4—221no—
527C2×D4—221no—
528C2×D4D4×D1112yes—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—42no—
532C22×C4—42no—
533C22×C4—81no—
534C22×C4—224no—
535C22×C4—221no—
536C22×C4—221no—
537C22×C4—221no—
538C22×C4—442no—
539C22×C4—442no—
540C22×C4—442no—
541C22×C4—442no—
542C22×C4—442no—
543C22×C4—442no—
544C22×C4—881no—
545C22×C4—881no—
546C22×C4C2×C22⋊D1111yescharacteristic
547C22×C4C2×C22⋊D1111yescharacteristic
548C22×C4C2×C22⋊D1111yescharacteristic
549C22×C4C2×C22⋊D1111yescharacteristic
550C22×C4C2×C22⋊D1111yescharacteristic
551C22×C4C2×C22⋊D1111yescharacteristic
552C22×C4C23×D1111yescharacteristic
553D8—228no—
554D8—444no—
555C2×C8—112no—
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—
566C2×C8—221no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—42no—
574C4⋊C4—112no—
575C4⋊C4—221no—
576C4⋊C4—221no—
577C4⋊C4—221no—
578C4⋊C4—221no—
579C4⋊C4—221no—
580C4⋊C4—442no—
581C4⋊C4—442no—
582C4⋊C4—442no—
583C4⋊C4—881no—
584C22⋊C4—42no—
585C22⋊C4—42no—
586C22⋊C4—42no—
587C22⋊C4—42no—
588C22⋊C4—81no—
589C22⋊C4—81no—
590C22⋊C4—81no—
591C22⋊C4—224no—
592C22⋊C4—442no—
593C22⋊C4—442no—
594C42—21no—
595C42—21no—
596C42—21no—
597C42—21no—
598C42—21no—
599C42—21no—
600C11#2617411yescharacteristic, complemented, Sylow
601C23—22no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—222no—
616C23—222no—
617C23—222no—
618C23—441no—
619C23—441no—
620C23—441no—
621C23—441no—
622C23C22×C22⋊D1111yescharacteristic
623D4—22no—
624D4—22no—
625D4—41no—
626D4—41no—
627D4—41no—
628D4—41no—
629D4—41no—
630D4—41no—
631D4—84no—
632D4—84no—
633D4—114no—
634D4—222no—
635D4—222no—
636D4—222no—
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—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—84no—
660C2×C4—222no—
661C2×C4—448no—
662C2×C4—441no—
663C2×C4—441no—
664C2×C4—441no—
665C2×C4—441no—
666C2×C4—441no—
667C2×C4—441no—
668C2×C4—441no—
669C2×C4—441no—
670C2×C4—884no—
671C2×C4—884no—
672C2×C4#6698512yes—
673C2×C4#6700212yes—
674C2×C4C2×D4×D1111yescharacteristic
675C2×C4#6703711yescharacteristic
676C2×C4#41×D1111yescharacteristic
677C2×C4#41×D1111yescharacteristic
678C2×C4#41×D1111yescharacteristic
679C2×C4#6704311yescharacteristic
680C8—222no—
681C8—441no—
682C8—441no—
683C8—441no—
684C22—42no—
685C22—42no—
686C22—42no—
687C22—81no—
688C22—81no—
689C22—81no—
690C22—81no—
691C22—81no—
692C22—81no—
693C22—81no—
694C22—81no—
695C22—81no—
696C22—81no—
697C22—81no—
698C22—224no—
699C22—442no—
700C22—442no—
701C22—442no—
702C22—442no—
703C22—442no—
704C22—442no—
705C22C2×#6698511yescharacteristic
706C22D4×C22⋊D1111yescharacteristic
707C22C2×#6700211yescharacteristic
708C22#1062335911yescharacteristic
709C22#1062336211yescharacteristic
710C22#1062336611yescharacteristic
711C22#1062336711yescharacteristic
712C4—22no—
713C4—22no—
714C4—41no—
715C4—41no—
716C4—41no—
717C4—41no—
718C4—81no—
719C4—81no—
720C4—442no—
721C4—881no—
722C4—881no—
723C4D11×#12311yescharacteristic
724C4#1062318611yescharacteristic
725C4#1062319111yescharacteristic
726C4#1062319211yescharacteristic
727C2—82no—
728C2—161no—
729C2—444no—
730C2#1307234811yescharacteristic
731C2#1307870311yescharacteristic
732C2#1307880911yescharacteristic
733C2#1308009711yescharacteristic
734C2#1308021211yescharacteristic
735C2#1308131911yescharacteristic
736C2#1308140411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC11×#2445C2
socleC23×C11C22×D4
prime radicalC2×#10622685C2
hypercenter#2445D11
hypocenterC11#26174
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×C4⋊C4 ◁ #2445

Complements

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

NH ≅ G/Ntype
2. C2×#10622627C2semidirect
3. C4⋊C4×D44C2semidirect
4. #13070149C2semidirect
5. #13070118C2semidirect
6. #13070019C2semidirect
7. #13069847C2semidirect
8. #13069316C2semidirect
9. #13069182C2semidirect
10. #13068967C2semidirect
11. #13068967C2semidirect
12. #13068967C2semidirect
13. #13068877C2semidirect
14. #13068876C2semidirect
15. C11×#2445C2semidirect
235. #2445D11semidirect
323. D44#123semidirect
600. C11#26174semidirect

Maximal subgroups

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

subgroupindex
C2×#106226852
C2×#106226272
C4⋊C4×D442
#130701492
#130701182
#130700192
#130698472
#130693162
#130691822
#130689672
#130688772
#130688762
C11×#24452
#2617411