Finite Group Databasebeta

← #14814931

Subgroups — #14814931

Order 2816.

918 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622350C211yesmaximal, characteristic, complemented
2C2×#10622334C211yesmaximal, characteristic, complemented
3#13073555C211yesmaximal, characteristic
4#13071545C211yesmaximal, characteristic, complemented
5#13069820C211yesmaximal, characteristic, complemented
6#13069813C211yesmaximal, characteristic, complemented
7#13069806C211yesmaximal, characteristic, complemented
8#13069806C211yesmaximal, characteristic, complemented
9#13069546C211yesmaximal, characteristic, complemented
10#13069427C211yesmaximal, characteristic, complemented
11#13069386C211yesmaximal, characteristic, complemented
12#13068931C211yesmaximal, characteristic, complemented
13#13068926C211yesmaximal, characteristic, complemented
14C4×#66881C211yesmaximal, characteristic, complemented
15C11×#1954C211yesmaximal, characteristic, complemented
16C2×C4×D4×C11C2211yescharacteristic
17C2×#66983C2211yescharacteristic
18C2×#66983C2211yescharacteristic
19C2×#66979C2211yescharacteristic
20C22×C4⋊Dic11C2211yescharacteristic
21C2×#66977C2211yescharacteristic
22C2×#66977C2211yescharacteristic
23C2×#66928C2211yescharacteristic
24C2×C11×C4⋊C8C2211yescharacteristic
25C2×C11×C22⋊C8C2211yescharacteristic
26C2×C11×C22⋊C8C2211yescharacteristic
27C2×C11×C22⋊C8C2211yescharacteristic
28C2×C11×C22⋊C8C2211yescharacteristic
29C2×C4×C8×C11C2211yescharacteristic
30#10622836—21no—
31#10622833—21no—
32#10622825C2211yescharacteristic
33#10622825C2211yescharacteristic
34C2×#66885C2211yescharacteristic
35C2×#66885C2211yescharacteristic
36C2×#66885C2211yescharacteristic
37C2×#66885C2211yescharacteristic
38C2×#66882C2211yescharacteristic
39C2×#66881C2211yescharacteristic
40C2×#66881C2211yescharacteristic
41C2×#66881C2211yescharacteristic
42C2×#66880C2211yescharacteristic
43C2×#66880C2211yescharacteristic
44C2×#66880C2211yescharacteristic
45C2×#66880C2211yescharacteristic
46#10622605—21no—
47#10622594—21no—
48#10622570—21no—
49#10622570—21no—
50#10622564—21no—
51C22⋊C4×Dic11—21no—
52#10622549C2211yescharacteristic
53C4×C4⋊Dic11C2211yescharacteristic
54C4×C4⋊Dic11C2211yescharacteristic
55#10622350—24no—
56#10622334—24no—
57#10622189C2211yescharacteristic
58#10622189C2211yescharacteristic
59#10622189C2211yescharacteristic
60#10622189C2211yescharacteristic
61C22×D4×C11D411yescharacteristic
62C23×C4×C11C2311yescharacteristic
63C23×C4×C11C2311yescharacteristic
64C22×C22⋊D11—21no—
65C22×C22⋊D11—21no—
66C23×Dic11—21no—
67C22×D44C2311yescharacteristic
68C22×Dic22C2311yescharacteristic
69C22×C8×C11C2311yescharacteristic
70C22×C8×C11C2311yescharacteristic
71C22×C8×C11C2311yescharacteristic
72C22×C8×C11C2311yescharacteristic
73C4×D4×C11—22no—
74C4×D4×C11—22no—
75C2×C11×C4⋊C4D411yescharacteristic
76C2×C11×C22⋊C4D411yescharacteristic
77C2×C11×C22⋊C4D411yescharacteristic
78C2×C42×C11C2311yescharacteristic
79C2×C22⋊Dic11—21no—
80C2×C22⋊Dic11—21no—
81C2×C22⋊Dic11—21no—
82C2×C22⋊Dic11—21no—
83C2×C22⋊Dic11—21no—
84#66983—22no—
85#66983—22no—
86#66983—41no—
87#66983—41no—
88C2×(C2×D11)⋊C4—21no—
89C2×(C2×D11)⋊C4—21no—
90C2×(C2×D11)⋊C4—21no—
91C2×(C2×D11)⋊C4—21no—
92#66979—22no—
93#66979—41no—
94C2×C4⋊Dic11—22no—
95C2×C4⋊Dic11—21no—
96C2×C4⋊Dic11—41no—
97C2×C4⋊Dic11C2311yescharacteristic
98C2×C4⋊Dic11C2311yescharacteristic
99C2×C4⋊Dic11C2311yescharacteristic
100C2×C4⋊Dic11C2311yescharacteristic
101C2×C4⋊Dic11C2311yescharacteristic
102C2×C4⋊Dic11C2311yescharacteristic
103#66977—22no—
104#66977—22no—
105#66977—41no—
106#66977—41no—
107C2×Dic11⋊C4—21no—
108C2×Dic11⋊C4—21no—
109C2×C4×Dic11—21no—
110C2×C4×Dic11—21no—
111C2×C4×Dic11—21no—
112#66928—22no—
113#66928—22no—
114C11×C4⋊C8—22no—
115C11×C22⋊C8—22no—
116C11×C22⋊C8—22no—
117C11×C22⋊C8—41no—
118C11×C22⋊C8—41no—
119C4×C8×C11—22no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C11⋊#95—21no—
126#66885—22no—
127#66885—22no—
128#66885—41no—
129#66885—41no—
130#66882—22no—
131#66881—22no—
132#66881—22no—
133#66881D414yescomplemented
134#66880—22no—
135#66880—22no—
136#66880—41no—
137#66880—41no—
138#26239—111nomaximal, Sylow
139C24×C11C2×D411yescharacteristic
140C24×C11C2×D411yescharacteristic
141C23×D11—21no—
142C2×D4×C11—22no—
143C2×D4×C11—22no—
144C2×D4×C11—41no—
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—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×C11C2411yescharacteristic
162C2×C22⋊D11—42no—
163C2×C22⋊D11—42no—
164C2×C22⋊D11—42no—
165C2×C22⋊D11—42no—
166C2×C22⋊D11—81no—
167C2×C22⋊D11—81no—
168C22×Dic11—21no—
169C22×Dic11—21no—
170C22×Dic11—21no—
171C22×Dic11—21no—
172C22×Dic11—21no—
173C22×Dic11—21no—
174C22×Dic11—21no—
175C22×Dic11—42no—
176C22×Dic11—42no—
177C22×Dic11—81no—
178C2×D44—21no—
179C2×D44—21no—
180C2×D44—21no—
181C2×D44—21no—
182C2×D44—21no—
183C2×D44—21no—
184C2×Dic22—21no—
185C2×Dic22—21no—
186C2×Dic22—21no—
187C2×Dic22—21no—
188C2×Dic22—21no—
189C2×Dic22—21no—
190C2×C8×C11—21no—
191C2×C8×C11—21no—
192C2×C8×C11—21no—
193C2×C8×C11—21no—
194C2×C8×C11—21no—
195C2×C8×C11—21no—
196C2×C8×C11—21no—
197C2×C8×C11—21no—
198C2×C8×C11—21no—
199C2×C8×C11—21no—
200C2×C8×C11—21no—
201C2×C8×C11C2×D412yes—
202C11×C4⋊C4—22no—
203C11×C22⋊C4—22no—
204C11×C22⋊C4—22no—
205C42×C11#4112yes—
206C42×C11#4112yes—
207C22⋊Dic11—42no—
208C22⋊Dic11—42no—
209C22⋊Dic11—42no—
210C22⋊Dic11—42no—
211C22⋊Dic11—81no—
212(C2×D11)⋊C4—42no—
213(C2×D11)⋊C4—42no—
214(C2×D11)⋊C4—42no—
215(C2×D11)⋊C4—42no—
216C4⋊Dic11—21no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219C4⋊Dic11—21no—
220C4⋊Dic11—21no—
221C4⋊Dic11—21no—
222C4⋊Dic11—21no—
223C4⋊Dic11—21no—
224C4⋊Dic11—21no—
225C4⋊Dic11—42no—
226C4⋊Dic11C2×D412yes—
227C4⋊Dic11C2×D412yes—
228C4⋊Dic11#4112yes—
229Dic11⋊C4—42no—
230Dic11⋊C4—42no—
231C4×Dic11—42no—
232C4×Dic11—81no—
233C4×Dic11—81no—
234C2×#482—111no—
235C2×#483—111no—
236#2540—111no—
237#2352—111no—
238#2036—111no—
239#2035—111no—
240#2034—111no—
241#2034—111no—
242#1983—111no—
243#1958—111no—
244#1954D1111yescharacteristic, complemented
245#1949—111no—
246#1874—111no—
247#1873—111no—
248C4×#106—111no—
249C23×C11—21no—
250C23×C11—21no—
251C23×C11—21no—
252C23×C11—21no—
253C23×C11—21no—
254C23×C11—21no—
255C23×C11—21no—
256C23×C11—21no—
257C23×C11—21no—
258C23×C11—21no—
259C23×C11—21no—
260C23×C11—21no—
261C23×C11—21no—
262C23×C11#13512yes—
263C23×C11C22×D411yescharacteristic
264C22×D11—41no—
265C22×D11—41no—
266C22×D11—41no—
267C22×D11—41no—
268C22×D11—41no—
269C22×D11—41no—
270C22×D11—41no—
271D4×C11—44no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
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—41no—
283C2×C4×C11—41no—
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#12312yes—
291C2×C4×C11#12312yes—
292C2×C4×C11C22×D411yescharacteristic
293C2×C4×C11C2×#4111yescharacteristic
294C2×C4×C11C2×#4111yescharacteristic
295C2×C4×C11C2×#4111yescharacteristic
296C2×C4×C11H(5,𝔽2)11yescharacteristic
297C2×C4×C11H(5,𝔽2)11yescharacteristic
298C22⋊D11—84no—
299C22⋊D11—84no—
300C2×Dic11—22no—
301C2×Dic11—22no—
302C2×Dic11—22no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
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—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11—41no—
320C2×Dic11—41no—
321C2×Dic11—84no—
322D44—41no—
323D44—41no—
324D44—41no—
325D44—41no—
326Dic22—41no—
327Dic22—41no—
328Dic22—41no—
329Dic22—41no—
330C8×C11—22no—
331C8×C11—41no—
332C8×C11—41no—
333C8×C11—41no—
334C2×#124—111no—
335C2×C22⋊Q8—111no—
336C2×C22⋊Q8—111no—
337C2×#121—111no—
338C2×#121—111no—
339C2×C4×D4C2×D1111yescharacteristic
340C2×#117—111no—
341C22×C4⋊C4—111no—
342#483—224no—
343#482—224no—
344C2×#107—111no—
345C2×#106—111no—
346C2×#106—111no—
347C2×#106—111no—
348C2×C4⋊C8C2×D1111yescharacteristic
349C2×#103—111no—
350C2×#103—111no—
351C2×#103—111no—
352C2×#103—111no—
353C2×#102—111no—
354C2×#102—111no—
355C2×#102—111no—
356C2×#102—111no—
357C2×C22⋊C8C2×D1111yescharacteristic
358C2×C22⋊C8C2×D1111yescharacteristic
359C2×C22⋊C8C2×D1111yescharacteristic
360C2×C22⋊C8C2×D1111yescharacteristic
361C2×C4×C8C2×D1111yescharacteristic
362#399—221no—
363#392—221no—
364#390—221no—
365#390—221no—
366#388—221no—
367#387—221no—
368#386—221no—
369#382—111no—
370#380—111no—
371#380—111no—
372C4×C4⋊C4—111no—
373C4×C4⋊C4—111no—
374C4×C22⋊C4—221no—
375#340—111no—
376#340—111no—
377#340—111no—
378#340—111no—
379C22×C11—22no—
380C22×C11—22no—
381C22×C11—22no—
382C22×C11—41no—
383C22×C11—41no—
384C22×C11—41no—
385C22×C11—41no—
386C22×C11—41no—
387C22×C11—41no—
388C22×C11—41no—
389C22×C11—41no—
390C22×C11—41no—
391C22×C11—41no—
392C22×C11—41no—
393C22×C11C2×#12311yescharacteristic
394C22×C11D4211yescharacteristic
395C22×C11#54611yescharacteristic
396C22×C11C2×#13511yescharacteristic
397C22×C11#57511yescharacteristic
398C22×C11#57711yescharacteristic
399C22×C11#57711yescharacteristic
400C2×D11—81no—
401C2×D11—81no—
402C2×D11—81no—
403C2×D11—81no—
404C2×D11—81no—
405C2×D11—81no—
406C2×D11—81no—
407C4×C11—22no—
408C4×C11—22no—
409C4×C11—41no—
410C4×C11—41no—
411C4×C11#53211yescharacteristic
412C4×C11#54011yescharacteristic
413C4×C11#55011yescharacteristic
414C4×C11#55911yescharacteristic
415Dic11—42no—
416Dic11—42no—
417Dic11—42no—
418Dic11—81no—
419Dic11—81no—
420Dic11—81no—
421Dic11—81no—
422C22×Q8—111no—
423C22×D4—111no—
424C22×D4—221no—
425C22×D4—221no—
426C22×D4D4411yescharacteristic
427C23×C4—221no—
428C23×C4C22×D1111yescharacteristic
429C23×C4C22×D1111yescharacteristic
430C22×C8C22×D1111yescharacteristic
431C22×C8C22×D1111yescharacteristic
432C22×C8C22×D1111yescharacteristic
433C22×C8C22×D1111yescharacteristic
434#124—222no—
435#124—222no—
436C22⋊Q8—222no—
437C22⋊Q8—222no—
438C22⋊Q8—441no—
439C22⋊Q8—441no—
440#121—222no—
441#121—222no—
442#121—441no—
443#121—441no—
444C4×D4—22no—
445C4×D4—22no—
446#117—222no—
447#117—441no—
448C2×C4⋊C4—111no—
449C2×C4⋊C4—111no—
450C2×C4⋊C4—111no—
451C2×C4⋊C4—111no—
452C2×C4⋊C4—111no—
453C2×C4⋊C4—111no—
454C2×C4⋊C4—222no—
455C2×C4⋊C4—221no—
456C2×C4⋊C4—221no—
457C2×C4⋊C4—221no—
458C2×C4⋊C4—441no—
459C2×C4⋊C4D4411yescharacteristic
460C2×C22⋊C4—221no—
461C2×C22⋊C4—221no—
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×C22⋊C4—221no—
469C2×C22⋊C4D4411yescharacteristic
470C2×C22⋊C4D4411yescharacteristic
471C2×C42—221no—
472C2×C42—221no—
473C2×C42—221no—
474C2×C42C22×D1111yescharacteristic
475#107—222no—
476#106—114no—
477#106—222no—
478#106—222no—
479C4⋊C8—22no—
480#103—222no—
481#103—222no—
482#103—441no—
483#103—441no—
484#102—222no—
485#102—222no—
486#102—441no—
487#102—441no—
488C22⋊C8—22no—
489C22⋊C8—22no—
490C22⋊C8—41no—
491C22⋊C8—41no—
492C4×C8—22no—
493#95—221no—
494#95—221no—
495#95—221no—
496#95—221no—
497#95—221no—
498#95—221no—
499C2×C11—42no—
500C2×C11—81no—
501C2×C11#244511yescharacteristic
502C2×C11#309111yescharacteristic
503C2×C11#309911yescharacteristic
504C2×C11#327511yescharacteristic
505C2×C11#328211yescharacteristic
506C2×C11#329611yescharacteristic
507C2×C11#332611yescharacteristic
508D11—161no—
509C24—221no—
510C24C2×D4411yescharacteristic
511C24C2×D4411yescharacteristic
512C2×Q8—221no—
513C2×Q8—221no—
514C2×Q8—221no—
515C2×Q8—221no—
516C2×Q8—221no—
517C2×Q8—221no—
518C2×D4—22no—
519C2×D4—22no—
520C2×D4—41no—
521C2×D4—221no—
522C2×D4—221no—
523C2×D4—221no—
524C2×D4—221no—
525C2×D4—221no—
526C2×D4—221no—
527C2×D4—442no—
528C2×D4—442no—
529C2×D4—442no—
530C2×D4—442no—
531C2×D4—881no—
532C2×D4—881no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—221no—
546C22×C4—221no—
547C22×C4—221no—
548C22×C4—221no—
549C22×C4—221no—
550C22×C4—221no—
551C22×C4—221no—
552C22×C4—442no—
553C22×C4—442no—
554C22×C4—881no—
555C22×C4C2×D4411yescharacteristic
556C22×C4C2×D4411yescharacteristic
557C22×C4C2×D4411yescharacteristic
558C22×C4C2×D4411yescharacteristic
559C22×C4C23×D1111yescharacteristic
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—21no—
571C2×C8D4×D1112yes—
572C4⋊C4—22no—
573C4⋊C4—112no—
574C4⋊C4—112no—
575C4⋊C4—112no—
576C4⋊C4—221no—
577C4⋊C4—221no—
578C4⋊C4—221no—
579C4⋊C4—221no—
580C4⋊C4—221no—
581C4⋊C4—221no—
582C4⋊C4—221no—
583C4⋊C4—221no—
584C4⋊C4—221no—
585C4⋊C4—442no—
586C4⋊C4—442no—
587C4⋊C4—442no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—442no—
591C22⋊C4—442no—
592C22⋊C4—442no—
593C22⋊C4—442no—
594C22⋊C4—442no—
595C22⋊C4—442no—
596C22⋊C4—442no—
597C22⋊C4—442no—
598C22⋊C4—881no—
599C42—442no—
600C42—881no—
601C42—881no—
602C42#434112yes—
603C42#434112yes—
604C11#2623911yescharacteristic, complemented, Sylow
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—441no—
619C23—441no—
620C23—441no—
621C23—441no—
622C23—441no—
623C23—441no—
624C23—441no—
625C23#6695712yes—
626C23C22×D4411yescharacteristic
627Q8—441no—
628Q8—441no—
629Q8—441no—
630Q8—441no—
631D4—44no—
632D4—441no—
633D4—441no—
634D4—441no—
635D4—441no—
636D4—884no—
637D4—884no—
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—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—222no—
657C2×C4—222no—
658C2×C4—222no—
659C2×C4—441no—
660C2×C4—441no—
661C2×C4—441no—
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—441no—
671C2×C4—441no—
672C2×C4—441no—
673C2×C4—441no—
674C2×C4—441no—
675C2×C4—441no—
676C2×C4—441no—
677C2×C4—884no—
678C2×C4#6693912yes—
679C2×C4#6693912yes—
680C2×C4C2×D4×D1111yescharacteristic
681C2×C4C2×#434111yescharacteristic
682C2×C4C2×#434111yescharacteristic
683C2×C4#6703711yescharacteristic
684C2×C4#41×D1111yescharacteristic
685C2×C4#6704211yescharacteristic
686C8—22no—
687C8—41no—
688C8—41no—
689C8—41no—
690C22—22no—
691C22—22no—
692C22—22no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22—41no—
698C22—41no—
699C22—41no—
700C22—41no—
701C22—41no—
702C22—41no—
703C22—41no—
704C22—881no—
705C22—881no—
706C22—881no—
707C22—881no—
708C22—881no—
709C22—881no—
710C22—881no—
711C22C2×#6693911yescharacteristic
712C22D4×D4411yescharacteristic
713C22#1062308511yescharacteristic
714C22C2×#6695711yescharacteristic
715C22#1062327911yescharacteristic
716C22#1062328211yescharacteristic
717C22#1062328211yescharacteristic
718C4—22no—
719C4—22no—
720C4—41no—
721C4—41no—
722C4—442no—
723C4—442no—
724C4—442no—
725C4—881no—
726C4—881no—
727C4—881no—
728C4—881no—
729C4#1062312711yescharacteristic
730C4#1062315011yescharacteristic
731C4#1062321211yescharacteristic
732C4#1062324911yescharacteristic
733C2—42no—
734C2—81no—
735C2—1761no—
736C2#1307237911yescharacteristic
737C2#1307853111yescharacteristic
738C2#1307860711yescharacteristic
739C2#1308025211yescharacteristic
740C2#1308032811yescharacteristic
741C2#1308045311yescharacteristic
742C2#1308087111yescharacteristic
subgroupG/H
centerC23C22×D44
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC11×#1954C2
socleC23×C11C22×D4
prime radical#13073555C2
hypercenter#1954D11
hypocenterC11#26239
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #1954

Complements

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

NH ≅ G/Ntype
1. C2×#10622350C2semidirect
2. C2×#10622334C2semidirect
4. #13071545C2semidirect
5. #13069820C2semidirect
6. #13069813C2semidirect
7. #13069806C2semidirect
8. #13069806C2semidirect
9. #13069546C2semidirect
10. #13069427C2semidirect
11. #13069386C2semidirect
12. #13068931C2semidirect
13. #13068926C2semidirect
14. C4×#66881C2semidirect
15. C11×#1954C2semidirect
133. #66881D4semidirect
244. #1954D11semidirect
604. C11#26239semidirect

Maximal subgroups

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

subgroupindex
C2×#106223502
C2×#106223342
#130735552
#130715452
#130698202
#130698132
#130698062
#130695462
#130694272
#130693862
#130689312
#130689262
C4×#668812
C11×#19542
#2623911