Finite Group Databasebeta

← #14788637

Subgroups — #14788637

Order 2816.

1074 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622667C211yesmaximal, characteristic
2C2×C4×#4326C211yesmaximal, characteristic, complemented
3#13073982C211yesmaximal, characteristic, complemented
4#13069859C211yesmaximal, characteristic, complemented
5#13069852C211yesmaximal, characteristic
6#13069716C211yesmaximal, characteristic, complemented
7#13069710C211yesmaximal, characteristic
8#13069553C211yesmaximal, characteristic, complemented
9#13069428C211yesmaximal, characteristic
10#13068957C211yesmaximal, characteristic, complemented
11#13068950C211yesmaximal, characteristic
12#13068870C211yesmaximal, characteristic, complemented
13#13068863C211yesmaximal, characteristic
14#13068631C211yesmaximal, characteristic, complemented
15C2×C11×#556C211yesmaximal, characteristic
16C11×#556—24no—
17C11×#556—24no—
18C2×C11×C4⋊Q8C2211yescharacteristic
19C2×C11×#126—21no—
20C2×C11×#126—21no—
21C2×C11×#124C2211yescharacteristic
22C2×C11×#124C2211yescharacteristic
23C2×C11×C22⋊Q8—21no—
24C2×C4×Q8×C11C2211yescharacteristic
25C2×C4×Q8×C11C2211yescharacteristic
26C2×C4×Q8×C11C2211yescharacteristic
27C2×C4×D4×C11C2211yescharacteristic
28C2×C11×#117—21no—
29C22×#4326C2211yescharacteristic
30C22×#4326C2211yescharacteristic
31C22×#4324C2211yescharacteristic
32C2×C4×Dic22C2211yescharacteristic
33#10622842—21no—
34C2×#66899C2211yescharacteristic
35C2×#66899C2211yescharacteristic
36C2×#66899C2211yescharacteristic
37C2×#66899C2211yescharacteristic
38C2×#66899C2211yescharacteristic
39C2×#66899C2211yescharacteristic
40C2×#66896C2211yescharacteristic
41C2×#66896C2211yescharacteristic
42C2×#66896C2211yescharacteristic
43#10622667—24no—
44C4×#4326—24no—
45#10622595—21no—
46#10622591—21no—
47#10622591—21no—
48C2×#66874C2211yescharacteristic
49C2×#66871C2211yescharacteristic
50#10622549C2211yescharacteristic
51#10622542C2211yescharacteristic
52#10622542C2211yescharacteristic
53#10622541C2211yescharacteristic
54#10622541C2211yescharacteristic
55C2×C4⋊(C11⋊C8)C2211yescharacteristic
56C2×C4×C11⋊C8C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622162C2211yescharacteristic
60#10622162C2211yescharacteristic
61#10622162C2211yescharacteristic
62#10622162C2211yescharacteristic
63C22×Q8×C11D411yescharacteristic
64C22×Q8×C11C2311yescharacteristic
65C22×Q8×C11C2311yescharacteristic
66C22×D4×C11C2311yescharacteristic
67C23×C4×C11—21no—
68C22×Dic22C2311yescharacteristic
69C11×C4⋊Q8—22no—
70C11×C4⋊Q8—22no—
71C11×#126—28no—
72C11×#126—28no—
73C11×#124—22no—
74C11×#124—22no—
75C11×#124—22no—
76C11×#124D414yes—
77C11×C22⋊Q8—28no—
78C4×Q8×C11—22no—
79C4×Q8×C11—22no—
80C4×Q8×C11—22no—
81C4×Q8×C11—22no—
82C4×Q8×C11—22no—
83C4×Q8×C11D414yes—
84C4×D4×C11—22no—
85C4×D4×C11—22no—
86C11×#117—28no—
87C2×C11×C4⋊C4—21no—
88C2×C11×C4⋊C4—21no—
89C2×C11×C4⋊C4—21no—
90C2×C11×C4⋊C4—21no—
91C2×C11×C4⋊C4D411yescharacteristic
92C2×C11×C4⋊C4D411yescharacteristic
93C2×C11×C4⋊C4D411yescharacteristic
94C2×C11×C4⋊C4C2311yescharacteristic
95C2×C11×C22⋊C4—21no—
96C2×C11×C22⋊C4—21no—
97C2×C11×C22⋊C4—21no—
98C2×C11×C22⋊C4—21no—
99C2×C11×C22⋊C4—21no—
100C2×C42×C11—21no—
101C2×C42×C11—21no—
102C2×C42×C11C2311yescharacteristic
103C2×C42×C11C2311yescharacteristic
104C2×C42×C11C2311yescharacteristic
105C2×#4326—22no—
106C2×#4326—22no—
107C2×#4326—22no—
108C2×#4326—22no—
109C2×#4326—22no—
110C2×#4326—41no—
111C2×#4324—22no—
112C2×#4324—22no—
113C2×#4324—41no—
114C2×C4⋊Dic11C2311yescharacteristic
115C2×C4⋊Dic11C2311yescharacteristic
116C2×C4⋊Dic11C2311yescharacteristic
117C2×Dic11⋊C4—21no—
118C2×Dic11⋊C4—21no—
119C2×Dic11⋊C4—21no—
120C2×C4×Dic11—21no—
121C22×C11⋊C8C2311yescharacteristic
122C22×C11⋊C8C2311yescharacteristic
123C22×C11⋊C8C2311yescharacteristic
124C22×C11⋊C8C2311yescharacteristic
125C4×Dic22—22no—
126C4×Dic22—22no—
127#66899—22no—
128#66899—22no—
129#66899—22no—
130#66899—41no—
131#66899—41no—
132#66899—41no—
133#66896—22no—
134#66896—22no—
135#66896—41no—
136C11⋊#95—21no—
137C11⋊#95—21no—
138C11⋊#95—21no—
139C11⋊#95—21no—
140C11⋊#95—21no—
141C11⋊#95—21no—
142C11⋊#95—21no—
143C11⋊#95—21no—
144#66874—22no—
145#66871—22no—
146C4⋊(C11⋊C8)—22no—
147C4×C11⋊C8—22no—
148#24195—111nomaximal, Sylow
149C24×C11—21no—
150C2×Q8×C11—22no—
151C2×Q8×C11—22no—
152C2×Q8×C11—21no—
153C2×Q8×C11—21no—
154C2×Q8×C11—21no—
155C2×Q8×C11—21no—
156C2×Q8×C11—21no—
157C2×Q8×C11—21no—
158C2×Q8×C11—21no—
159C2×Q8×C11—21no—
160C2×Q8×C11—21no—
161C2×Q8×C11—21no—
162C2×Q8×C11—41no—
163C2×Q8×C11C2×D412yes—
164C2×Q8×C11C2×D412yes—
165C2×D4×C11—21no—
166C2×D4×C11—21no—
167C2×D4×C11—21no—
168C2×D4×C11—21no—
169C2×D4×C11—21no—
170C2×D4×C11C2×D412yes—
171C22×C4×C11—24no—
172C22×C4×C11—21no—
173C22×C4×C11—21no—
174C22×C4×C11—21no—
175C22×C4×C11—42no—
176C22×C4×C11—42no—
177C22×C4×C11C2×D411yescharacteristic
178C22×C4×C11C2×D411yescharacteristic
179C22×C4×C11C2×D411yescharacteristic
180C22×C4×C11C2×D411yescharacteristic
181C22×C4×C11C2×D411yescharacteristic
182C22×C4×C11C2×D411yescharacteristic
183C22×C4×C11C2411yescharacteristic
184C22×Dic11—21no—
185C22×Dic11—21no—
186C22×Dic11—21no—
187C22×Dic11—21no—
188C2×Dic22—21no—
189C2×Dic22—21no—
190C2×Dic22—21no—
191C2×Dic22—21no—
192C2×Dic22—21no—
193C2×Dic22#4112yes—
194C11×C4⋊C4—24no—
195C11×C4⋊C4—24no—
196C11×C4⋊C4—24no—
197C11×C4⋊C4—24no—
198C11×C4⋊C4—22no—
199C11×C4⋊C4—22no—
200C11×C4⋊C4—22no—
201C11×C4⋊C4—21no—
202C11×C4⋊C4C2×D412yes—
203C11×C22⋊C4—24no—
204C11×C22⋊C4—24no—
205C11×C22⋊C4—24no—
206C11×C22⋊C4—24no—
207C11×C22⋊C4—24no—
208C42×C11—24no—
209C42×C11—24no—
210C42×C11—21no—
211C42×C11—21no—
212C42×C11—21no—
213C42×C11—21no—
214C42×C11C2×D412yes—
215C42×C11C2×D412yes—
216#4326—28no—
217#4326—44no—
218#4324—44no—
219C4⋊Dic11—21no—
220C4⋊Dic11—21no—
221C4⋊Dic11—21no—
222C4⋊Dic11—21no—
223C4⋊Dic11—21no—
224C4⋊Dic11—21no—
225Dic11⋊C4—42no—
226Dic11⋊C4—42no—
227Dic11⋊C4—42no—
228C4×Dic11—42no—
229C2×C11⋊C8—21no—
230C2×C11⋊C8—21no—
231C2×C11⋊C8—21no—
232C2×C11⋊C8—21no—
233C2×C11⋊C8—21no—
234C2×C11⋊C8—21no—
235C2×C11⋊C8—21no—
236C2×C11⋊C8—21no—
237C2×C11⋊C8—21no—
238C2×C11⋊C8—21no—
239C2×C11⋊C8—21no—
240C2×C11⋊C8#4112yes—
241C2×#556D1111yescharacteristic
242C2×#464—111no—
243C2×C4×Q16—111no—
244#2581—111no—
245#2043—111no—
246#2042—111no—
247#2016—111no—
248#2015—111no—
249#1984—111no—
250#1958—111no—
251#1878—111no—
252#1877—111no—
253#1863—111no—
254#1862—111no—
255#1805—111no—
256C23×C11—22no—
257C23×C11—41no—
258C23×C11—41no—
259C23×C11—41no—
260C23×C11—41no—
261C23×C11—41no—
262C23×C11—41no—
263C23×C11C22×D411yescharacteristic
264Q8×C11—22no—
265Q8×C11—22no—
266Q8×C11—22no—
267Q8×C11—22no—
268Q8×C11—44no—
269Q8×C11—41no—
270Q8×C11—41no—
271Q8×C11—41no—
272Q8×C11—41no—
273D4×C11—22no—
274D4×C11—22no—
275D4×C11—41no—
276D4×C11—41no—
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—22no—
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—21no—
292C2×C4×C11—21no—
293C2×C4×C11—21no—
294C2×C4×C11—21no—
295C2×C4×C11—48no—
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#12012yes—
303C2×C4×C11#12012yes—
304C2×C4×C11#13512yes—
305C2×C4×C11C22×D411yescharacteristic
306C2×C4×C11C22×D411yescharacteristic
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—
320C2×Dic11—41no—
321C2×Dic11—41no—
322C2×Dic11—41no—
323Dic22—22no—
324Dic22—22no—
325Dic22—41no—
326Dic22—41no—
327C11⋊C8—22no—
328C11⋊C8—41no—
329C11⋊C8—41no—
330C11⋊C8—41no—
331C22×Q16—111no—
332C22×Q16—111no—
333C22×SD16—111no—
334#556—24no—
335#556—24no—
336C2×C4⋊Q8C2×D1111yescharacteristic
337C2×#126—21no—
338C2×#126—21no—
339C2×#124C2×D1111yescharacteristic
340C2×#124C2×D1111yescharacteristic
341C2×C22⋊Q8—21no—
342C2×C4×Q8—111no—
343C2×C4×Q8C2×D1111yescharacteristic
344C2×C4×Q8C2×D1111yescharacteristic
345C2×C4×Q8C2×D1111yescharacteristic
346C2×C4×D4C2×D1111yescharacteristic
347C2×#117—21no—
348#464—224no—
349C4×Q16—224no—
350C2×#107—111no—
351C2×C4⋊C8—111no—
352C2×#103—111no—
353C2×#103—111no—
354C2×#103—111no—
355C2×#103—111no—
356C2×#103—111no—
357C2×#103—111no—
358C2×#103—111no—
359C2×#102—111no—
360C2×#102—111no—
361C2×#102—111no—
362C2×C4×C8—111no—
363#400—221no—
364#395—221no—
365#391—111no—
366#391—111no—
367#389—111no—
368#389—111no—
369#387—221no—
370#387—221no—
371#382—111no—
372#340—111no—
373#340—111no—
374#336—111no—
375#336—111no—
376#336—111no—
377#336—111no—
378C22×C11—42no—
379C22×C11—42no—
380C22×C11—42no—
381C22×C11—81no—
382C22×C11—81no—
383C22×C11—81no—
384C22×C11—81no—
385C22×C11C2×#12011yescharacteristic
386C22×C11#54811yescharacteristic
387C22×C11#55011yescharacteristic
388C22×C11C2×#13511yescharacteristic
389C22×C11#57511yescharacteristic
390C22×C11#57811yescharacteristic
391C22×C11#57811yescharacteristic
392C4×C11—22no—
393C4×C11—22no—
394C4×C11—22no—
395C4×C11—42no—
396C4×C11—42no—
397C4×C11—41no—
398C4×C11—42no—
399C4×C11—41no—
400C4×C11—41no—
401C4×C11#52511yescharacteristic
402C4×C11#53711yescharacteristic
403C4×C11#54611yescharacteristic
404C4×C11#54711yescharacteristic
405Dic11—42no—
406Dic11—81no—
407Dic11—81no—
408Dic11—81no—
409C22×Q8—111no—
410C22×Q8C22⋊D1111yescharacteristic
411C22×Q8C22×D1111yescharacteristic
412C22×Q8C22×D1111yescharacteristic
413C22×D4C22×D1111yescharacteristic
414C23×C4—21no—
415C2×Q16—222no—
416C2×Q16—222no—
417C2×Q16—222no—
418C2×Q16—222no—
419C2×Q16—222no—
420C2×Q16—441no—
421C2×SD16—222no—
422C2×SD16—222no—
423C2×SD16—441no—
424C22×C8—111no—
425C22×C8—111no—
426C22×C8—111no—
427C22×C8—111no—
428C4⋊Q8—22no—
429C4⋊Q8—22no—
430#126—28no—
431#126—28no—
432#124—22no—
433#124—22no—
434#124—22no—
435#124C22⋊D1114yes—
436C22⋊Q8—28no—
437C4×Q8—22no—
438C4×Q8—22no—
439C4×Q8—22no—
440C4×Q8—22no—
441C4×Q8—22no—
442C4×Q8—222no—
443C4×Q8—222no—
444C4×Q8C22⋊D1114yes—
445C4×D4—22no—
446C4×D4—22no—
447#117—28no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—111no—
453C2×C4⋊C4—111no—
454C2×C4⋊C4—111no—
455C2×C4⋊C4—221no—
456C2×C4⋊C4—221no—
457C2×C4⋊C4—221no—
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×C42—21no—
468C2×C42—21no—
469C2×C42—221no—
470C2×C42C22×D1111yescharacteristic
471C2×C42C22×D1111yescharacteristic
472C2×C42C22×D1111yescharacteristic
473#107—222no—
474C4⋊C8—222no—
475#103—222no—
476#103—222no—
477#103—222no—
478#103—222no—
479#103—441no—
480#103—441no—
481#103—441no—
482#102—222no—
483#102—222no—
484#102—441no—
485C4×C8—222no—
486#95—221no—
487#95—221no—
488#95—221no—
489#95—221no—
490#95—221no—
491#95—221no—
492#95—221no—
493#95—221no—
494C2×C11—82no—
495C2×C11#240711yescharacteristic
496C2×C11#300211yescharacteristic
497C2×C11#301111yescharacteristic
498C2×C11#336411yescharacteristic
499C2×C11#337711yescharacteristic
500C2×C11#339311yescharacteristic
501C2×C11#340211yescharacteristic
502C24—21no—
503C2×Q8—22no—
504C2×Q8—22no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—41no—
516C2×Q8—112no—
517C2×Q8—221no—
518C2×Q8—221no—
519C2×Q8—221no—
520C2×Q8—221no—
521C2×Q8—221no—
522C2×Q8C2×C22⋊D1112yes—
523C2×Q8C2×C22⋊D1112yes—
524C2×D4—21no—
525C2×D4—21no—
526C2×D4—21no—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4C2×C22⋊D1112yes—
530C22×C4—24no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—42no—
535C22×C4—42no—
536C22×C4—221no—
537C22×C4—221no—
538C22×C4—221no—
539C22×C4—221no—
540C22×C4C2×C22⋊D1111yescharacteristic
541C22×C4C2×C22⋊D1111yescharacteristic
542C22×C4C2×C22⋊D1111yescharacteristic
543C22×C4C2×C22⋊D1111yescharacteristic
544C22×C4C2×C22⋊D1111yescharacteristic
545C22×C4C2×C22⋊D1111yescharacteristic
546C22×C4C23×D1111yescharacteristic
547Q16—228no—
548Q16—444no—
549SD16—444no—
550C2×C8—112no—
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—
560C2×C8—221no—
561C2×C8—221no—
562C4⋊C4—24no—
563C4⋊C4—24no—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—21no—
570C4⋊C4—221no—
571C4⋊C4—221no—
572C4⋊C4—221no—
573C4⋊C4—221no—
574C4⋊C4—221no—
575C4⋊C4—221no—
576C4⋊C4—442no—
577C4⋊C4—442no—
578C4⋊C4—442no—
579C4⋊C4C2×C22⋊D1112yes—
580C22⋊C4—24no—
581C22⋊C4—24no—
582C22⋊C4—24no—
583C22⋊C4—24no—
584C22⋊C4—24no—
585C42—24no—
586C42—24no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—442no—
592C42C2×C22⋊D1112yes—
593C42C2×C22⋊D1112yes—
594C11#2419511yescharacteristic, complemented, Sylow
595C23—22no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23C22×C22⋊D1111yescharacteristic
603Q8—22no—
604Q8—22no—
605Q8—22no—
606Q8—22no—
607Q8—44no—
608Q8—41no—
609Q8—41no—
610Q8—41no—
611Q8—41no—
612Q8—222no—
613Q8—222no—
614Q8—441no—
615Q8—441no—
616D4—22no—
617D4—22no—
618D4—41no—
619D4—41no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—22no—
634C2×C4—21no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—21no—
638C2×C4—48no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—222no—
646C2×C4—441no—
647C2×C4—441no—
648C2×C4—441no—
649C2×C4—441no—
650C2×C4—441no—
651C2×C4—441no—
652C2×C4—441no—
653C2×C4—441no—
654C2×C4—441no—
655C2×C4—441no—
656C2×C4—441no—
657C2×C4#6700312yes—
658C2×C4#6700612yes—
659C2×C4#6700612yes—
660C2×C4#41×D1111yescharacteristic
661C2×C4#41×D1111yescharacteristic
662C2×C4#6704211yescharacteristic
663C2×C4#6704311yescharacteristic
664C2×C4C22×C22⋊D1111yescharacteristic
665C2×C4C22×C22⋊D1111yescharacteristic
666C8—222no—
667C8—441no—
668C8—441no—
669C8—441no—
670C22—42no—
671C22—42no—
672C22—42no—
673C22—81no—
674C22—81no—
675C22—81no—
676C22—81no—
677C22C2×#6700311yescharacteristic
678C22#1062335311yescharacteristic
679C22#1062336211yescharacteristic
680C22#1062336511yescharacteristic
681C22#1062336911yescharacteristic
682C22#1062336911yescharacteristic
683C22C2×#6700611yescharacteristic
684C4—22no—
685C4—22no—
686C4—22no—
687C4—41no—
688C4—42no—
689C4—42no—
690C4—42no—
691C4—41no—
692C4—41no—
693C4—442no—
694C4—881no—
695C4—881no—
696C4—881no—
697C4#1062335511yescharacteristic
698C4#1062335911yescharacteristic
699C4#1062336011yescharacteristic
700C4#1062336411yescharacteristic
701C2—82no—
702C2#1307195511yescharacteristic
703C2#1307783411yescharacteristic
704C2#1307791111yescharacteristic
705C2#1308129711yescharacteristic
706C2#1308145211yescharacteristic
707C2#1308160011yescharacteristic
708C2#1308169111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC2×C11×#556C2
socleC23×C11C22×D4
prime radicalC22×D4×C11C23
hypercenterC2×#556D11
hypocenterC11#24195
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#556

Complements

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

NH ≅ G/Ntype
2. C2×C4×#4326C2semidirect
3. #13073982C2semidirect
4. #13069859C2semidirect
6. #13069716C2semidirect
8. #13069553C2semidirect
10. #13068957C2semidirect
12. #13068870C2semidirect
14. #13068631C2semidirect
594. C11#24195semidirect

Maximal subgroups

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

subgroupindex
C2×#106226672
C2×C4×#43262
#130739822
#130698592
#130698522
#130697162
#130697102
#130695532
#130694282
#130689572
#130689502
#130688702
#130688632
#130686312
C2×C11×#5562
#2419511