Finite Group Databasebeta

← #14797494

Subgroups — #14797494

Order 2816.

958 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622658C211yesmaximal, characteristic, complemented
2C2×#10622838C211yesmaximal, characteristic, complemented
3#13071565C211yesmaximal, characteristic
4#13070159C211yesmaximal, characteristic, complemented
5#13070024C211yesmaximal, characteristic, complemented
6#13069816C211yesmaximal, characteristic, complemented
7#13069809C211yesmaximal, characteristic, complemented
8#13069254C211yesmaximal, characteristic, complemented
9#13069254C211yesmaximal, characteristic, complemented
10#13068929C211yesmaximal, characteristic, complemented
11#13068914C211yesmaximal, characteristic
12#13068813C211yesmaximal, characteristic, complemented
13#13068647C211yesmaximal, characteristic, complemented
14#13068551C211yesmaximal, characteristic, complemented
15C11×#2409C211yesmaximal, characteristic
16C23×Q8×C11C2211yescharacteristic
17C2×C11×C22⋊Q8C2211yescharacteristic
18C2×C11×C22⋊Q8C2211yescharacteristic
19C2×C4×D4×C11C2211yescharacteristic
20C2×#66979C2211yescharacteristic
21C2×#66979C2211yescharacteristic
22C22×#4318C2211yescharacteristic
23C11×#395—21no—
24C11×#393—21no—
25C11×#391C2211yescharacteristic
26C11×#391C2211yescharacteristic
27C11×#386—21no—
28C11×#385—21no—
29C11×#380C2211yescharacteristic
30#10622838—24no—
31C2×#66899C2211yescharacteristic
32C2×#66899C2211yescharacteristic
33C2×#66899C2211yescharacteristic
34C2×#66899C2211yescharacteristic
35C2×#66899C2211yescharacteristic
36C2×#66899C2211yescharacteristic
37C2×#66899C2211yescharacteristic
38C2×#66899C2211yescharacteristic
39#10622834—21no—
40#10622825C2211yescharacteristic
41#10622825C2211yescharacteristic
42C2×C22⋊(C11⋊C8)C2211yescharacteristic
43C2×C22⋊(C11⋊C8)C2211yescharacteristic
44C2×C22⋊(C11⋊C8)C2211yescharacteristic
45#10622658—24no—
46C4⋊C4×Dic11—21no—
47C2×#66872C2211yescharacteristic
48C2×#66872C2211yescharacteristic
49C2×#66871C2211yescharacteristic
50C2×#66871C2211yescharacteristic
51#10622564—21no—
52#10622564—21no—
53#10622548C2211yescharacteristic
54C4×C4⋊Dic11C2211yescharacteristic
55#10622167C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622162C2211yescharacteristic
60#10622162C2211yescharacteristic
61C22×Q8×C11—21no—
62C22×Q8×C11—22no—
63C22×Q8×C11—22no—
64C22×Q8×C11—22no—
65C22×Q8×C11—22no—
66C22×Q8×C11—41no—
67C22×Q8×C11—41no—
68C22×Q8×C11C2311yescharacteristic
69C22×Q8×C11C2311yescharacteristic
70C22×D4×C11D411yescharacteristic
71C23×C4×C11—21no—
72C23×C4×C11C2311yescharacteristic
73C23×C4×C11C2311yescharacteristic
74C11×C22⋊Q8—22no—
75C11×C22⋊Q8—22no—
76C11×C22⋊Q8—41no—
77C11×C22⋊Q8—41no—
78C4×D4×C11—22no—
79C4×D4×C11—22no—
80C2×C11×C4⋊C4—21no—
81C2×C11×C4⋊C4—21no—
82C2×C11×C4⋊C4D411yescharacteristic
83C2×C11×C4⋊C4C2311yescharacteristic
84C2×C11×C4⋊C4C2311yescharacteristic
85C2×C11×C22⋊C4—21no—
86C2×C11×C22⋊C4—21no—
87C2×C11×C22⋊C4—21no—
88C2×C11×C22⋊C4D411yescharacteristic
89C2×C11×C22⋊C4D411yescharacteristic
90C2×C42×C11C2311yescharacteristic
91C2×C22⋊Dic11—21no—
92C2×C22⋊Dic11—21no—
93C2×C22⋊Dic11—21no—
94C2×C22⋊Dic11—21no—
95#66979—22no—
96#66979—22no—
97#66979—41no—
98#66979—41no—
99C2×C4⋊Dic11—21no—
100C2×C4⋊Dic11—21no—
101C2×C4⋊Dic11C2311yescharacteristic
102C2×C4⋊Dic11C2311yescharacteristic
103C2×C4⋊Dic11C2311yescharacteristic
104C2×C4⋊Dic11C2311yescharacteristic
105C2×C4×Dic11—21no—
106C2×C4×Dic11—21no—
107C2×C4×Dic11—21no—
108C2×#4318—22no—
109C2×#4318—22no—
110C2×#4318—41no—
111C22×C11⋊C8C2311yescharacteristic
112C22×C11⋊C8C2311yescharacteristic
113C22×C11⋊C8C2311yescharacteristic
114C22×C11⋊C8C2311yescharacteristic
115C11×#95—21no—
116C11×#95—21no—
117C11×#95—21no—
118C11×#95—21no—
119C11×#95—21no—
120#66899—22no—
121#66899—22no—
122#66899—22no—
123#66899—22no—
124#66899—22no—
125#66899—41no—
126#66899—41no—
127#66899D414yescomplemented
128C11⋊#95—21no—
129C11⋊#95—21no—
130C11⋊#95—21no—
131C22⋊(C11⋊C8)—22no—
132C22⋊(C11⋊C8)—22no—
133C22⋊(C11⋊C8)—41no—
134#66872—22no—
135#66872—41no—
136#66871—22no—
137#66871—41no—
138#24892—111nomaximal, Sylow
139C24×C11C2×D411yescharacteristic
140C24×C11C2×D411yescharacteristic
141C2×Q8×C11—21no—
142C2×Q8×C11—21no—
143C2×Q8×C11—28no—
144C2×Q8×C11—21no—
145C2×Q8×C11—21no—
146C2×Q8×C11—21no—
147C2×Q8×C11—21no—
148C2×Q8×C11—21no—
149C2×Q8×C11—21no—
150C2×Q8×C11—21no—
151C2×Q8×C11—21no—
152C2×Q8×C11—42no—
153C2×Q8×C11—42no—
154C2×Q8×C11—44no—
155C2×Q8×C11—44no—
156C2×Q8×C11—44no—
157C2×Q8×C11—42no—
158C2×Q8×C11C2×D412yes—
159C2×Q8×C11#4112yes—
160C2×D4×C11—22no—
161C2×D4×C11—22no—
162C2×D4×C11—41no—
163C22×C4×C11—21no—
164C22×C4×C11—21no—
165C22×C4×C11—21no—
166C22×C4×C11—21no—
167C22×C4×C11—21no—
168C22×C4×C11—21no—
169C22×C4×C11—21no—
170C22×C4×C11—21no—
171C22×C4×C11—21no—
172C22×C4×C11—21no—
173C22×C4×C11—21no—
174C22×C4×C11—21no—
175C22×C4×C11—21no—
176C22×C4×C11—21no—
177C22×C4×C11—42no—
178C22×C4×C11—42no—
179C22×C4×C11—42no—
180C22×C4×C11C2×D411yescharacteristic
181C22×C4×C11C2×D411yescharacteristic
182C22×C4×C11C2×D411yescharacteristic
183C22×C4×C11C2×D411yescharacteristic
184C22×C4×C11#4112yes—
185C22×C4×C11#4112yes—
186C22×C4×C11C2411yescharacteristic
187C22×Dic11—21no—
188C22×Dic11—21no—
189C22×Dic11—21no—
190C22×Dic11—21no—
191C11×C4⋊C4—22no—
192C11×C4⋊C4—21no—
193C11×C4⋊C4—21no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4—42no—
197C11×C4⋊C4—42no—
198C11×C22⋊C4—22no—
199C11×C22⋊C4—22no—
200C11×C22⋊C4—42no—
201C11×C22⋊C4—42no—
202C11×C22⋊C4—42no—
203C42×C11—21no—
204C42×C11—21no—
205C22⋊Dic11—42no—
206C22⋊Dic11—42no—
207C22⋊Dic11—81no—
208C22⋊Dic11—81no—
209C4⋊Dic11—21no—
210C4⋊Dic11—21no—
211C4⋊Dic11—21no—
212C4⋊Dic11—21no—
213C4⋊Dic11—21no—
214C4⋊Dic11—21no—
215C4⋊Dic11—21no—
216C4⋊Dic11—42no—
217C4⋊Dic11—81no—
218C4⋊Dic11C2×D412yes—
219C4×Dic11—42no—
220C4×Dic11—42no—
221C4×Dic11—42no—
222#4318—44no—
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×#485—111no—
236C2×#419—111no—
237#2409D1111yescharacteristic
238#2354—111no—
239#2096—111no—
240#2072—111no—
241#2036—111no—
242#2035—111no—
243#1928—111no—
244#1928—111no—
245#1873—111no—
246#1870—111no—
247#1854—111no—
248#1809—111no—
249#1787—111no—
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—21no—
263C23×C11#12312yes—
264C23×C11C22×D411yescharacteristic
265Q8×C11—22no—
266Q8×C11—22no—
267Q8×C11—22no—
268Q8×C11—22no—
269Q8×C11—48no—
270Q8×C11—41no—
271Q8×C11—41no—
272Q8×C11—41no—
273Q8×C11—41no—
274D4×C11—44no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11—21no—
278C2×C4×C11—21no—
279C2×C4×C11—22no—
280C2×C4×C11—22no—
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11—21no—
284C2×C4×C11—21no—
285C2×C4×C11—21no—
286C2×C4×C11—22no—
287C2×C4×C11—22no—
288C2×C4×C11—21no—
289C2×C4×C11—21no—
290C2×C4×C11—21no—
291C2×C4×C11—48no—
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—41no—
300C2×C4×C11—41no—
301C2×C4×C11—41no—
302C2×C4×C11—41no—
303C2×C4×C11—41no—
304C2×C4×C11—41no—
305C2×C4×C11—41no—
306C2×C4×C11#12312yes—
307C2×C4×C11#13712yes—
308C2×C4×C11C22×D411yescharacteristic
309C2×C4×C11C2×#4111yescharacteristic
310C2×C4×C11C2×#4111yescharacteristic
311C2×C4×C11C2×#4111yescharacteristic
312C2×C4×C11H(5,𝔽2)11yescharacteristic
313C2×C4×C11H(5,𝔽2)11yescharacteristic
314C2×Dic11—22no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11—41no—
320C2×Dic11—41no—
321C2×Dic11—41no—
322C2×Dic11—41no—
323C2×Dic11—41no—
324C2×Dic11—41no—
325C2×Dic11—41no—
326C11⋊C8—22no—
327C11⋊C8—41no—
328C11⋊C8—41no—
329C11⋊C8—41no—
330C23×Q8C2×D1111yescharacteristic
331C22×M16—111no—
332C2×C22⋊Q8C2×D1111yescharacteristic
333C2×C22⋊Q8C2×D1111yescharacteristic
334C2×C4×D4C2×D1111yescharacteristic
335C2×#117—111no—
336C2×#117—111no—
337#485—224no—
338C2×#107—111no—
339C2×#107—111no—
340C2×#106—111no—
341C2×#106—111no—
342#419—224no—
343C2×#103—111no—
344C2×#103—111no—
345C2×#103—111no—
346C2×#103—111no—
347C2×#103—111no—
348C2×#103—111no—
349C2×#103—111no—
350C2×#103—111no—
351C2×C22⋊C8—111no—
352C2×C22⋊C8—111no—
353C2×C22⋊C8—111no—
354#395—21no—
355#393—21no—
356#391C2×D1111yescharacteristic
357#391C2×D1111yescharacteristic
358#390—221no—
359#388—221no—
360#388—221no—
361#386—21no—
362#385—21no—
363#384—111no—
364#380—111no—
365#380—111no—
366#380C2×D1111yescharacteristic
367C4×C4⋊C4—111no—
368C4×C4⋊C4—221no—
369#340—111no—
370#340—111no—
371#340—111no—
372#340—111no—
373#336—111no—
374#336—111no—
375C22×C11—22no—
376C22×C11—22no—
377C22×C11—22no—
378C22×C11—41no—
379C22×C11—41no—
380C22×C11—41no—
381C22×C11—41no—
382C22×C11—41no—
383C22×C11—41no—
384C22×C11—41no—
385C22×C11—41no—
386C22×C11—41no—
387C22×C11—41no—
388C22×C11—41no—
389C22×C11C2×#12311yescharacteristic
390C22×C11D4211yescharacteristic
391C22×C11#54611yescharacteristic
392C22×C11C2×#13711yescharacteristic
393C22×C11#57511yescharacteristic
394C22×C11#57711yescharacteristic
395C22×C11#57811yescharacteristic
396C4×C11—22no—
397C4×C11—22no—
398C4×C11—41no—
399C4×C11—41no—
400C4×C11—42no—
401C4×C11—42no—
402C4×C11—81no—
403C4×C11—81no—
404C4×C11#52511yescharacteristic
405C4×C11#53811yescharacteristic
406C4×C11#54611yescharacteristic
407C4×C11#55111yescharacteristic
408Dic11—42no—
409Dic11—81no—
410Dic11—81no—
411Dic11—81no—
412C22×Q8—21no—
413C22×Q8—22no—
414C22×Q8—22no—
415C22×Q8—22no—
416C22×Q8—22no—
417C22×Q8—41no—
418C22×Q8—41no—
419C22×Q8C22×D1111yescharacteristic
420C22×Q8C22×D1111yescharacteristic
421C22×D4C22⋊D1111yescharacteristic
422C23×C4—21no—
423C23×C4C22×D1111yescharacteristic
424C23×C4C22×D1111yescharacteristic
425C2×M16—222no—
426C2×M16—222no—
427C2×M16—441no—
428C22×C8—111no—
429C22×C8—111no—
430C22×C8—111no—
431C22×C8—111no—
432C22⋊Q8—22no—
433C22⋊Q8—22no—
434C22⋊Q8—41no—
435C22⋊Q8—41no—
436C4×D4—22no—
437C4×D4—22no—
438#117—222no—
439#117—222no—
440#117—441no—
441#117—441no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—111no—
445C2×C4⋊C4—111no—
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—21no—
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—221no—
463C2×C42—221no—
464C2×C42—221no—
465C2×C42C22×D1111yescharacteristic
466#107—222no—
467#107—441no—
468#106—222no—
469#106—441no—
470#103—114no—
471#103—222no—
472#103—222no—
473#103—222no—
474#103—222no—
475#103—222no—
476#103—441no—
477#103—441no—
478C22⋊C8—222no—
479C22⋊C8—222no—
480C22⋊C8—441no—
481#95—21no—
482#95—21no—
483#95—21no—
484#95—21no—
485#95—21no—
486#95—221no—
487#95—221no—
488#95—221no—
489C2×C11—42no—
490C2×C11—81no—
491C2×C11#241811yescharacteristic
492C2×C11#309511yescharacteristic
493C2×C11#309711yescharacteristic
494C2×C11#326911yescharacteristic
495C2×C11#327811yescharacteristic
496C2×C11#332111yescharacteristic
497C2×C11#332811yescharacteristic
498C24C2×C22⋊D1111yescharacteristic
499C24C2×C22⋊D1111yescharacteristic
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—28no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—42no—
512C2×Q8—42no—
513C2×Q8—44no—
514C2×Q8—44no—
515C2×Q8—44no—
516C2×Q8—42no—
517C2×Q8D4×D1112yes—
518C2×Q8#434112yes—
519C2×D4—22no—
520C2×D4—22no—
521C2×D4—41no—
522C22×C4—21no—
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—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—42no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—221no—
540C22×C4—221no—
541C22×C4—221no—
542C22×C4—221no—
543C22×C4#434112yes—
544C22×C4#434112yes—
545C22×C4C2×C22⋊D1111yescharacteristic
546C22×C4C2×C22⋊D1111yescharacteristic
547C22×C4C2×C22⋊D1111yescharacteristic
548C22×C4C2×C22⋊D1111yescharacteristic
549C22×C4C23×D1111yescharacteristic
550M16—444no—
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—
562C2×C8—221no—
563C4⋊C4—22no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—112no—
571C4⋊C4—221no—
572C4⋊C4—221no—
573C4⋊C4—221no—
574C4⋊C4—221no—
575C4⋊C4—221no—
576C4⋊C4—221no—
577C4⋊C4—221no—
578C4⋊C4—442no—
579C4⋊C4—881no—
580C22⋊C4—22no—
581C22⋊C4—22no—
582C22⋊C4—42no—
583C22⋊C4—42no—
584C22⋊C4—42no—
585C22⋊C4—442no—
586C22⋊C4—442no—
587C22⋊C4—881no—
588C22⋊C4—881no—
589C42—21no—
590C42—21no—
591C42—442no—
592C42—442no—
593C42—442no—
594C11#2489211yescharacteristic, complemented, Sylow
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23#6698812yes—
609C23C22×C22⋊D1111yescharacteristic
610Q8—22no—
611Q8—22no—
612Q8—22no—
613Q8—22no—
614Q8—48no—
615Q8—41no—
616Q8—41no—
617Q8—41no—
618Q8—41no—
619D4—44no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—48no—
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—222no—
652C2×C4—441no—
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—441no—
662C2×C4—441no—
663C2×C4#6698812yes—
664C2×C4#6699512yes—
665C2×C4C2×D4×D1111yescharacteristic
666C2×C4C2×#434111yescharacteristic
667C2×C4C2×#434111yescharacteristic
668C2×C4C2×#434111yescharacteristic
669C2×C4#6703711yescharacteristic
670C2×C4#6703711yescharacteristic
671C8—222no—
672C8—441no—
673C8—441no—
674C8—441no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22C2×#6698811yescharacteristic
690C22D4×C22⋊D1111yescharacteristic
691C22#1062333711yescharacteristic
692C22C2×#6699511yescharacteristic
693C22#1062335311yescharacteristic
694C22#1062336811yescharacteristic
695C22#1062336911yescharacteristic
696C4—22no—
697C4—22no—
698C4—41no—
699C4—41no—
700C4—42no—
701C4—42no—
702C4—81no—
703C4—81no—
704C4—442no—
705C4—881no—
706C4—881no—
707C4—881no—
708C4#1062311711yescharacteristic
709C4#1062311811yescharacteristic
710C4#1062312211yescharacteristic
711C4#1062312411yescharacteristic
712C2—42no—
713C2—81no—
714C2#1307207411yescharacteristic
715C2#1307856011yescharacteristic
716C2#1307857911yescharacteristic
717C2#1308017211yescharacteristic
718C2#1308027811yescharacteristic
719C2#1308080211yescharacteristic
720C2#1308089911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC11×#2409C2
socleC23×C11C22×D4
prime radicalC22×D4×C11D4
hypercenter#2409D11
hypocenterC11#24892
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2409

Complements

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

NH ≅ G/Ntype
1. C2×#10622658C2semidirect
2. C2×#10622838C2semidirect
4. #13070159C2semidirect
5. #13070024C2semidirect
6. #13069816C2semidirect
7. #13069809C2semidirect
8. #13069254C2semidirect
9. #13069254C2semidirect
10. #13068929C2semidirect
12. #13068813C2semidirect
13. #13068647C2semidirect
14. #13068551C2semidirect
127. #66899D4semidirect
594. C11#24892semidirect

Maximal subgroups

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

subgroupindex
C2×#106226582
C2×#106228382
#130715652
#130701592
#130700242
#130698162
#130698092
#130692542
#130689292
#130689142
#130688132
#130686472
#130685512
C11×#24092
#2489211