Finite Group Databasebeta

← #14804415

Subgroups — #14804415

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×#10622673C211yesmaximal, characteristic
2C2×#10622667C211yesmaximal, characteristic
3C2×#10622644C211yesmaximal, characteristic, complemented
4C2×#10622703C211yesmaximal, characteristic, complemented
5#13071672C211yesmaximal, characteristic, complemented
6#13069938C211yesmaximal, characteristic, complemented
7#13069933C211yesmaximal, characteristic
8#13069716C211yesmaximal, characteristic, complemented
9#13069710C211yesmaximal, characteristic
10#13069549C211yesmaximal, characteristic
11#13069340C211yesmaximal, characteristic, complemented
12#13068974C211yesmaximal, characteristic
13#13068960C211yesmaximal, characteristic, complemented
14#13068446C211yesmaximal, characteristic, complemented
15C11×#2545C211yesmaximal, characteristic
16C2×C11×C4⋊Q8C2211yescharacteristic
17C2×C11×#124C2211yescharacteristic
18C2×C11×#124C2211yescharacteristic
19C2×C4×Q8×C11C2211yescharacteristic
20C22×#4326C2211yescharacteristic
21C22×#4326C2211yescharacteristic
22C22×#4326C2211yescharacteristic
23C22×#4326C2211yescharacteristic
24C22×#4324C2211yescharacteristic
25C22×#4324C2211yescharacteristic
26C2×#66922C2211yescharacteristic
27C2×C4×Dic22C2211yescharacteristic
28C2×C4×Dic22C2211yescharacteristic
29C11×#396—21no—
30C11×#396—21no—
31C11×#391C2211yescharacteristic
32C11×#390C2211yescharacteristic
33C11×#388—21no—
34C11×#388—21no—
35C4×C11×C4⋊C4C2211yescharacteristic
36C2×#66899C2211yescharacteristic
37C2×#66899C2211yescharacteristic
38C2×#66899C2211yescharacteristic
39C2×#66899C2211yescharacteristic
40C2×#66896C2211yescharacteristic
41C2×#66896C2211yescharacteristic
42#10622703—24no—
43#10622673—24no—
44#10622667—24no—
45#10622644—24no—
46C4⋊C4×Dic11—21no—
47#10622586—21no—
48C2×#66874C2211yescharacteristic
49C2×#66874C2211yescharacteristic
50C4×C4⋊Dic11C2211yescharacteristic
51#10622542C2211yescharacteristic
52#10622542C2211yescharacteristic
53C2×C4⋊(C11⋊C8)C2211yescharacteristic
54C2×C4⋊(C11⋊C8)C2211yescharacteristic
55C2×C4⋊(C11⋊C8)C2211yescharacteristic
56C2×#66867C2211yescharacteristic
57#10622267—21no—
58#10622267—21no—
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622162C2211yescharacteristic
62#10622162C2211yescharacteristic
63C22×Q8×C11C2311yescharacteristic
64C22×Q8×C11C2311yescharacteristic
65C22×D4×C11C2311yescharacteristic
66C22×Dic22C2311yescharacteristic
67C22×Dic22C2311yescharacteristic
68C11×C4⋊Q8—22no—
69C11×C4⋊Q8—41no—
70C11×#124—22no—
71C11×#124—22no—
72C11×#124—22no—
73C11×#124—41no—
74C4×Q8×C11—22no—
75C4×Q8×C11—22no—
76C2×C11×C4⋊C4—21no—
77C2×C11×C4⋊C4—21no—
78C2×C11×C4⋊C4—21no—
79C2×C11×C4⋊C4D411yescharacteristic
80C2×C11×C4⋊C4D411yescharacteristic
81C2×C11×C4⋊C4C2311yescharacteristic
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×C11×C22⋊C4—21no—
88C2×C42×C11—21no—
89C2×C42×C11C2311yescharacteristic
90C2×C42×C11C2311yescharacteristic
91C2×C42×C11C2311yescharacteristic
92C2×#4326—22no—
93C2×#4326—22no—
94C2×#4326—22no—
95C2×#4326—22no—
96C2×#4326—22no—
97C2×#4326—22no—
98C2×#4326—22no—
99C2×#4326—22no—
100C2×#4326—41no—
101C2×#4326—41no—
102C2×#4326—41no—
103C2×#4326—41no—
104C2×#4324—22no—
105C2×#4324—22no—
106C2×#4324—22no—
107C2×#4324—22no—
108C2×#4324—41no—
109C2×#4324—41no—
110C2×C4⋊Dic11—21no—
111C2×C4⋊Dic11—21no—
112C2×C4⋊Dic11C2311yescharacteristic
113C2×C4⋊Dic11C2311yescharacteristic
114C2×Dic11⋊C4—21no—
115C2×Dic11⋊C4—21no—
116C2×C4×Dic11—21no—
117C2×C4×Dic11—21no—
118C2×C4×Dic11—21no—
119C22×C11⋊C8C2311yescharacteristic
120C22×C11⋊C8C2311yescharacteristic
121C22×C11⋊C8C2311yescharacteristic
122C22×C11⋊C8C2311yescharacteristic
123#66922—22no—
124#66922D414yes—
125C4×Dic22—22no—
126C4×Dic22—22no—
127C4×Dic22—41no—
128C4×Dic22—41no—
129C11×#95—21no—
130C11×#95—21no—
131C11×#95D411yescharacteristic
132C11×#95D411yescharacteristic
133#66899—22no—
134#66899—22no—
135#66899—41no—
136#66899D414yes—
137#66896—22no—
138#66896—41no—
139C11⋊#95—21no—
140C11⋊#95—21no—
141C11⋊#95—21no—
142C11⋊#95—21no—
143C11⋊#95—21no—
144#66874—22no—
145#66874—22no—
146C4⋊(C11⋊C8)—22no—
147C4⋊(C11⋊C8)—22no—
148C4⋊(C11⋊C8)—22no—
149#66867—22no—
150#25379—111nomaximal, Sylow
151C24×C11—21no—
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—21no—
163C2×Q8×C11C2×D412yes—
164C2×D4×C11—21no—
165C2×D4×C11—21no—
166C2×D4×C11—21no—
167C2×D4×C11—21no—
168C2×D4×C11—21no—
169C2×D4×C11—21no—
170C22×C4×C11—21no—
171C22×C4×C11—21no—
172C22×C4×C11—21no—
173C22×C4×C11C2×D411yescharacteristic
174C22×C4×C11C2×D411yescharacteristic
175C22×C4×C11C2×D411yescharacteristic
176C22×C4×C11C2×D411yescharacteristic
177C22×C4×C11C2×D411yescharacteristic
178C22×C4×C11C2×D411yescharacteristic
179C22×C4×C11C2411yescharacteristic
180C22×Dic11—21no—
181C22×Dic11—21no—
182C22×Dic11—21no—
183C22×Dic11—21no—
184C2×Dic22—21no—
185C2×Dic22—21no—
186C2×Dic22—21no—
187C2×Dic22—21no—
188C2×Dic22—21no—
189C2×Dic22—21no—
190C2×Dic22—21no—
191C2×Dic22—21no—
192C2×Dic22—21no—
193C2×Dic22—21no—
194C2×Dic22C2×D412yes—
195C2×Dic22C2×D412yes—
196C11×C4⋊C4—22no—
197C11×C4⋊C4—21no—
198C11×C4⋊C4—21no—
199C11×C4⋊C4—41no—
200C11×C4⋊C4—42no—
201C11×C4⋊C4—42no—
202C11×C4⋊C4—42no—
203C11×C22⋊C4—42no—
204C11×C22⋊C4—42no—
205C11×C22⋊C4—42no—
206C11×C22⋊C4—42no—
207C11×C22⋊C4—42no—
208C11×C22⋊C4—42no—
209C42×C11—21no—
210C42×C11—21no—
211C42×C11—21no—
212C42×C11—21no—
213C42×C11—42no—
214C42×C11C2×D412yes—
215C42×C11#4112yes—
216#4326—44no—
217#4326—44no—
218#4326—44no—
219#4326—44no—
220#4324—44no—
221#4324—44no—
222C4⋊Dic11—24no—
223C4⋊Dic11—24no—
224C4⋊Dic11—21no—
225C4⋊Dic11—21no—
226C4⋊Dic11—21no—
227C4⋊Dic11C2×D412yes—
228Dic11⋊C4—42no—
229Dic11⋊C4—42no—
230C4×Dic11—42no—
231C4×Dic11—42no—
232C4×Dic11—42no—
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—21no—
241C2×C11⋊C8—21no—
242C2×C11⋊C8—21no—
243C2×C11⋊C8C2×D412yes—
244C2×C11⋊C8#4112yes—
245C2×#497—111no—
246C2×#464—111no—
247C2×#462—111no—
248C2×#462—111no—
249#2545D1111yescharacteristic
250#2365—111no—
251#2056—111no—
252#2055—111no—
253#2016—111no—
254#2015—111no—
255#1983—111no—
256#1940—111no—
257#1880—111no—
258#1878—111no—
259#1763—111no—
260C23×C11—41no—
261C23×C11—41no—
262C23×C11—41no—
263C23×C11—41no—
264C23×C11—41no—
265C23×C11—41no—
266C23×C11—41no—
267C23×C11C22×D411yescharacteristic
268Q8×C11—22no—
269Q8×C11—22no—
270Q8×C11—41no—
271Q8×C11—41no—
272Q8×C11—41no—
273Q8×C11—41no—
274Q8×C11—41no—
275Q8×C11—41no—
276D4×C11—41no—
277D4×C11—41no—
278D4×C11—41no—
279D4×C11—41no—
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—22no—
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—41no—
303C2×C4×C11—41no—
304C2×C4×C11#12112yes—
305C2×C4×C11#12112yes—
306C2×C4×C11#13712yes—
307C2×C4×C11C22×D411yescharacteristic
308C2×C4×C11C22×D411yescharacteristic
309C2×C4×C11C2×#4111yescharacteristic
310C2×C4×C11C2×#4111yescharacteristic
311C2×C4×C11H(5,𝔽2)11yescharacteristic
312C2×C4×C11H(5,𝔽2)11yescharacteristic
313C2×Dic11—22no—
314C2×Dic11—22no—
315C2×Dic11—22no—
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—
325Dic22—22no—
326Dic22—22no—
327Dic22—22no—
328Dic22—22no—
329Dic22—41no—
330Dic22—41no—
331Dic22—41no—
332Dic22—41no—
333C11⋊C8—22no—
334C11⋊C8—22no—
335C11⋊C8—41no—
336C11⋊C8—41no—
337C22×Q16—111no—
338C22×Q16—111no—
339C22×Q16—111no—
340C22×Q16—111no—
341C22×SD16—111no—
342C22×SD16—111no—
343C2×C4⋊Q8—111no—
344C2×C4⋊Q8C2×D1111yescharacteristic
345C2×#124C2×D1111yescharacteristic
346C2×#124C2×D1111yescharacteristic
347C2×C4×Q8—111no—
348C2×C4×Q8—111no—
349C2×C4×Q8C2×D1111yescharacteristic
350#497—224no—
351#464—224no—
352#462—224no—
353#462—224no—
354C2×C4⋊C8—111no—
355C2×C4⋊C8—111no—
356C2×C4⋊C8—111no—
357C2×#103—111no—
358C2×#103—111no—
359C2×#103—111no—
360C2×#103—111no—
361C2×#103—111no—
362C2×#103—111no—
363C2×#102—111no—
364C2×#102—111no—
365C2×#97—111no—
366#396—21no—
367#396—21no—
368#391—111no—
369#391—111no—
370#391C2×D1111yescharacteristic
371#390C2×D1111yescharacteristic
372#389—221no—
373#388—21no—
374#388—21no—
375#387—221no—
376#387—221no—
377C4×C4⋊C4—111no—
378C4×C4⋊C4—221no—
379C4×C4⋊C4C2×D1111yescharacteristic
380#340—111no—
381#340—111no—
382#336—111no—
383#336—111no—
384C22×C11—81no—
385C22×C11—81no—
386C22×C11—81no—
387C22×C11—81no—
388C22×C11—81no—
389C22×C11—81no—
390C22×C11—81no—
391C22×C11C2×#12111yescharacteristic
392C22×C11D4211yescharacteristic
393C22×C11#55011yescharacteristic
394C22×C11C2×#13711yescharacteristic
395C22×C11#57511yescharacteristic
396C22×C11#57811yescharacteristic
397C22×C11#57811yescharacteristic
398C4×C11—22no—
399C4×C11—22no—
400C4×C11—22no—
401C4×C11—42no—
402C4×C11—41no—
403C4×C11—41no—
404C4×C11—41no—
405C4×C11—81no—
406C4×C11—81no—
407C4×C11#53211yescharacteristic
408C4×C11#54011yescharacteristic
409C4×C11D4211yescharacteristic
410C4×C11#54611yescharacteristic
411Dic11—42no—
412Dic11—42no—
413Dic11—42no—
414Dic11—81no—
415C22×Q8—111no—
416C22×Q8—111no—
417C22×Q8C22×D1111yescharacteristic
418C22×Q8C22×D1111yescharacteristic
419C22×D4C22×D1111yescharacteristic
420C2×Q16—222no—
421C2×Q16—222no—
422C2×Q16—222no—
423C2×Q16—222no—
424C2×Q16—222no—
425C2×Q16—222no—
426C2×Q16—222no—
427C2×Q16—222no—
428C2×Q16—441no—
429C2×Q16—441no—
430C2×Q16—441no—
431C2×Q16—441no—
432C2×SD16—222no—
433C2×SD16—222no—
434C2×SD16—222no—
435C2×SD16—222no—
436C2×SD16—441no—
437C2×SD16—441no—
438C22×C8—111no—
439C22×C8—111no—
440C22×C8—111no—
441C22×C8—111no—
442C4⋊Q8—22no—
443C4⋊Q8—41no—
444C4⋊Q8—114no—
445C4⋊Q8—222no—
446#124—22no—
447#124—22no—
448#124—22no—
449#124—41no—
450C4×Q8—22no—
451C4×Q8—22no—
452C4×Q8—222no—
453C4×Q8—222no—
454C4×Q8—441no—
455C4×Q8—441no—
456C2×C4⋊C4—21no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—111no—
460C2×C4⋊C4—111no—
461C2×C4⋊C4—221no—
462C2×C4⋊C4—221no—
463C2×C4⋊C4—221no—
464C2×C4⋊C4—221no—
465C2×C4⋊C4C22⋊D1111yescharacteristic
466C2×C4⋊C4C22⋊D1111yescharacteristic
467C2×C4⋊C4C22×D1111yescharacteristic
468C2×C22⋊C4—21no—
469C2×C22⋊C4—21no—
470C2×C22⋊C4—21no—
471C2×C22⋊C4—21no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—21no—
474C2×C42—21no—
475C2×C42—221no—
476C2×C42—221no—
477C2×C42—221no—
478C2×C42C22×D1111yescharacteristic
479C2×C42C22×D1111yescharacteristic
480C2×C42C22×D1111yescharacteristic
481C4⋊C8—222no—
482C4⋊C8—222no—
483C4⋊C8—222no—
484#103—114no—
485#103—222no—
486#103—222no—
487#103—222no—
488#103—222no—
489#103—441no—
490#102—222no—
491#102—441no—
492#97—222no—
493#95—21no—
494#95—21no—
495#95—221no—
496#95—221no—
497#95—221no—
498#95—221no—
499#95—221no—
500#95C22⋊D1111yescharacteristic
501#95C22⋊D1111yescharacteristic
502C2×C11—161no—
503C2×C11#242811yescharacteristic
504C2×C11#303711yescharacteristic
505C2×C11#304411yescharacteristic
506C2×C11#326911yescharacteristic
507C2×C11#327011yescharacteristic
508C2×C11#339811yescharacteristic
509C2×C11#340211yescharacteristic
510C24—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—112no—
523C2×Q8—112no—
524C2×Q8—221no—
525C2×Q8—221no—
526C2×Q8—221no—
527C2×Q8—221no—
528C2×Q8—221no—
529C2×Q8—221no—
530C2×Q8—221no—
531C2×Q8—221no—
532C2×Q8—221no—
533C2×Q8—221no—
534C2×Q8D4×D1112yes—
535C2×D4—21no—
536C2×D4—21no—
537C2×D4—21no—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—221no—
545C22×C4—221no—
546C22×C4—221no—
547C22×C4—221no—
548C22×C4C2×C22⋊D1111yescharacteristic
549C22×C4C2×C22⋊D1111yescharacteristic
550C22×C4C2×C22⋊D1111yescharacteristic
551C22×C4C2×C22⋊D1111yescharacteristic
552C22×C4C2×C22⋊D1111yescharacteristic
553C22×C4C2×C22⋊D1111yescharacteristic
554C22×C4C23×D1111yescharacteristic
555Q16—444no—
556Q16—444no—
557Q16—444no—
558Q16—444no—
559SD16—444no—
560SD16—444no—
561C2×C8—112no—
562C2×C8—112no—
563C2×C8—221no—
564C2×C8—221no—
565C2×C8—221no—
566C2×C8—221no—
567C2×C8—221no—
568C2×C8—221no—
569C2×C8—221no—
570C2×C8—221no—
571C2×C8—221no—
572C2×C8—221no—
573C4⋊C4—22no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—41no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—112no—
581C4⋊C4—224no—
582C4⋊C4—224no—
583C4⋊C4—221no—
584C4⋊C4—221no—
585C4⋊C4—221no—
586C4⋊C4—442no—
587C4⋊C4—442no—
588C22⋊C4—42no—
589C22⋊C4—42no—
590C22⋊C4—42no—
591C22⋊C4—42no—
592C22⋊C4—42no—
593C22⋊C4—42no—
594C42—21no—
595C42—21no—
596C42—21no—
597C42—21no—
598C42—42no—
599C42—442no—
600C42—442no—
601C42—442no—
602C42D4×D1112yes—
603C42#434112yes—
604C11#2537911yescharacteristic, complemented, Sylow
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23C22×C22⋊D1111yescharacteristic
613Q8—22no—
614Q8—22no—
615Q8—41no—
616Q8—41no—
617Q8—41no—
618Q8—41no—
619Q8—41no—
620Q8—41no—
621Q8—222no—
622Q8—222no—
623Q8—222no—
624Q8—222no—
625Q8—441no—
626Q8—441no—
627Q8—441no—
628Q8—441no—
629D4—41no—
630D4—41no—
631D4—41no—
632D4—41no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—22no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—222no—
658C2×C4—222no—
659C2×C4—222no—
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#6699112yes—
670C2×C4#6699112yes—
671C2×C4#6700412yes—
672C2×C4C2×D4×D1111yescharacteristic
673C2×C4C2×D4×D1111yescharacteristic
674C2×C4C2×#434111yescharacteristic
675C2×C4#6703711yescharacteristic
676C2×C4#41×D1111yescharacteristic
677C2×C4#6704211yescharacteristic
678C8—222no—
679C8—222no—
680C8—441no—
681C8—441no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22—81no—
688C22—81no—
689C22C2×#6699111yescharacteristic
690C22D4×C22⋊D1111yescharacteristic
691C22#1062335311yescharacteristic
692C22C2×#6700411yescharacteristic
693C22#1062336511yescharacteristic
694C22#1062336911yescharacteristic
695C22#1062336911yescharacteristic
696C4—22no—
697C4—22no—
698C4—22no—
699C4—42no—
700C4—41no—
701C4—41no—
702C4—41no—
703C4—81no—
704C4—81no—
705C4—442no—
706C4—442no—
707C4—442no—
708C4—881no—
709C4#1062312711yescharacteristic
710C4#1062314011yescharacteristic
711C4#1062314311yescharacteristic
712C4#1062315011yescharacteristic
713C2—161no—
714C2#1307220011yescharacteristic
715C2#1307808411yescharacteristic
716C2#1307814211yescharacteristic
717C2#1308017211yescharacteristic
718C2#1308018211yescharacteristic
719C2#1308164711yescharacteristic
720C2#1308169111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC11×#2545C2
socleC23×C11C22×D4
prime radicalC22×D4×C11C23
hypercenter#2545D11
hypocenterC11#25379
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×C4⋊C4 ◁ #2545

Complements

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

NH ≅ G/Ntype
3. C2×#10622644C2semidirect
4. C2×#10622703C2semidirect
5. #13071672C2semidirect
6. #13069938C2semidirect
8. #13069716C2semidirect
11. #13069340C2semidirect
13. #13068960C2semidirect
14. #13068446C2semidirect
604. C11#25379semidirect

Maximal subgroups

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

subgroupindex
C2×#106226732
C2×#106226672
C2×#106226442
C2×#106227032
#130716722
#130699382
#130699332
#130697162
#130697102
#130695492
#130693402
#130689742
#130689602
#130684462
C11×#25452
#2537911