Finite Group Databasebeta

← #14763547

Subgroups — #14763547

Order 2816.

1086 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623174C211yesmaximal, characteristic
2C2×#10622333C211yesmaximal, characteristic, complemented
3#13071240C211yesmaximal, characteristic, complemented
4#13069587C211yesmaximal, characteristic, complemented
5#13069575C211yesmaximal, characteristic, complemented
6#13069429C211yesmaximal, characteristic, complemented
7#13069424C211yesmaximal, characteristic, complemented
8#13068936C211yesmaximal, characteristic
9#13068933C211yesmaximal, characteristic
10#13068929C211yesmaximal, characteristic, complemented
11#13068629C211yesmaximal, characteristic, complemented
12#13068625C211yesmaximal, characteristic, complemented
13#13068619C211yesmaximal, characteristic, complemented
14#13068615C211yesmaximal, characteristic, complemented
15C11×#1872C211yesmaximal, characteristic, complemented
16C2×C11×C22⋊Q8C2211yescharacteristic
17C22×C11×C4⋊C4C2211yescharacteristic
18C2×#67000C2211yescharacteristic
19C2×Q8×Dic11C2211yescharacteristic
20C2×#66983C2211yescharacteristic
21C2×#66979C2211yescharacteristic
22C2×#66979C2211yescharacteristic
23#10623174—24no—
24#10623174C418yescomplemented
25C2×#66951—21no—
26C2×#66950—21no—
27C2×#66946C2211yescharacteristic
28C2×#66941C2211yescharacteristic
29C2×#66938—21no—
30C2×#66936—21no—
31C2×C11×#103C2211yescharacteristic
32C2×C11×#103C2211yescharacteristic
33C2×C11×C22⋊C8C2211yescharacteristic
34C2×#66899C2211yescharacteristic
35C2×#66899C2211yescharacteristic
36#10622823—21no—
37#10622823—21no—
38C2×C22⋊(C11⋊C8)C2211yescharacteristic
39C2×#66885C2211yescharacteristic
40C2×#66885C2211yescharacteristic
41C2×#66879C2211yescharacteristic
42C2×Dic11⋊C8C2211yescharacteristic
43C2×Dic11⋊C8C2211yescharacteristic
44C2×C8×Dic11C2211yescharacteristic
45#10622590C2211yescharacteristic
46#10622590C2211yescharacteristic
47#10622589C2211yescharacteristic
48#10622589C2211yescharacteristic
49#10622586—21no—
50#10622586—21no—
51C2×#66873C2211yescharacteristic
52C2×#66873C2211yescharacteristic
53#10622333—24no—
54C11×#340C2211yescharacteristic
55C11×#340C2211yescharacteristic
56#10622189C2211yescharacteristic
57#10622189C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C22×Q8×C11C2311yescharacteristic
63C23×C4×C11—21no—
64C23×C4×C11C2311yescharacteristic
65C22×C22⋊D11—21no—
66C22×D44C2311yescharacteristic
67C22×C4×D11—21no—
68C22×Dic22—21no—
69C22×C8×C11C2311yescharacteristic
70C22×C8×C11C2311yescharacteristic
71C11×C22⋊Q8—22no—
72C11×C22⋊Q8C2×C414yes—
73C2×C11×C4⋊C4—21no—
74C2×C11×C4⋊C4—21no—
75C2×C11×C4⋊C4—41no—
76C2×C11×C4⋊C4—41no—
77C2×C11×C4⋊C4C2311yescharacteristic
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C22⋊C4—21no—
81C2×C22⋊Dic11—21no—
82C2×C22⋊Dic11D411yescharacteristic
83C2×C22⋊Dic11D411yescharacteristic
84#67000—22no—
85#67000C2×C414yescomplemented
86Q8×Dic11—22no—
87Q8×Dic11C2×C414yescomplemented
88#66983—22no—
89#66983C2×C414yes—
90C2×(C2×D11)⋊C4—21no—
91C2×(C2×D11)⋊C4—21no—
92C2×(C2×D11)⋊C4—21no—
93C2×(C2×D11)⋊C4—21no—
94#66979—41no—
95#66979—41no—
96#66979C2×C414yes—
97#66979D414yes—
98C2×C4⋊Dic11—21no—
99C2×C4⋊Dic11D411yescharacteristic
100C2×C4⋊Dic11D411yescharacteristic
101C2×C4⋊Dic11C2311yescharacteristic
102C2×C4⋊Dic11C2311yescharacteristic
103C2×C4⋊Dic11C2311yescharacteristic
104C2×Dic11⋊C4—21no—
105C2×Dic11⋊C4—21no—
106C2×Dic11⋊C4—21no—
107C2×Dic11⋊C4—21no—
108C2×Dic11⋊C4—21no—
109C2×C4×Dic11—21no—
110C2×C4×Dic11—21no—
111C2×C4×Dic11C2311yescharacteristic
112C2×C4×Dic11C2311yescharacteristic
113C22×C11⋊C8C2311yescharacteristic
114C22×C11⋊C8C2311yescharacteristic
115#66951—28no—
116#66950—28no—
117#66946—22no—
118#66946C2×C414yescomplemented
119#66941—22no—
120#66941C2×C414yescomplemented
121#66938—28no—
122#66936—28no—
123C11×#103—41no—
124C11×#103—41no—
125C11×C22⋊C8—22no—
126#66899—41no—
127#66899—41no—
128C11⋊#95—21no—
129C11⋊#95—21no—
130C11⋊#95—21no—
131C11⋊#95—21no—
132C22⋊(C11⋊C8)—22no—
133#66885—41no—
134#66885—41no—
135#66879—22no—
136Dic11⋊C8—22no—
137Dic11⋊C8—22no—
138C8×Dic11—22no—
139#66873—41no—
140#66873—41no—
141#21871—111nomaximal, Sylow
142C24×C11C2×D411yescharacteristic
143C23×D11—21no—
144C2×Q8×C11—21no—
145C2×Q8×C11—21no—
146C2×Q8×C11—21no—
147C2×Q8×C11—21no—
148C2×Q8×C11—21no—
149C2×Q8×C11C22×C412yes—
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×C11—21no—
158C22×C4×C11—42no—
159C22×C4×C11—81no—
160C22×C4×C11—81no—
161C22×C4×C11C22×C412yes—
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11C2×D412yes—
164C22×C4×C11C2411yescharacteristic
165C2×C22⋊D11—24no—
166C2×C22⋊D11—81no—
167C2×C22⋊D11—81no—
168C22×Dic11—21no—
169C22×Dic11—21no—
170C22×Dic11—21no—
171C22×Dic11C2×D411yescharacteristic
172C22×Dic11C2×D411yescharacteristic
173C22×Dic11C2×D411yescharacteristic
174C22×Dic11C2×D411yescharacteristic
175C2×D44—21no—
176C2×D44—21no—
177C2×D44—21no—
178C2×D44—21no—
179C2×D44—21no—
180C2×D44C22×C412yes—
181C2×C4×D11—24no—
182C2×C4×D11—81no—
183C2×C4×D11—81no—
184C2×Dic22—24no—
185C2×Dic22—81no—
186C2×Dic22—81no—
187C2×C8×C11—21no—
188C2×C8×C11—21no—
189C2×C8×C11—21no—
190C2×C8×C11—21no—
191C2×C8×C11—21no—
192C2×C8×C11—21no—
193C11×C4⋊C4—24no—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4—21no—
197C11×C4⋊C4—21no—
198C11×C4⋊C4—21no—
199C11×C4⋊C4—42no—
200C11×C4⋊C4C22×C412yes—
201C11×C22⋊C4—24no—
202C22⋊Dic11—42no—
203C22⋊Dic11C22⋊C414yes—
204C22⋊Dic11C22⋊C414yes—
205(C2×D11)⋊C4—24no—
206(C2×D11)⋊C4—24no—
207(C2×D11)⋊C4—24no—
208(C2×D11)⋊C4—24no—
209C4⋊Dic11—24no—
210C4⋊Dic11—21no—
211C4⋊Dic11—21no—
212C4⋊Dic11—21no—
213C4⋊Dic11—21no—
214C4⋊Dic11—21no—
215C4⋊Dic11C22⋊C414yes—
216C4⋊Dic11C22⋊C414yes—
217C4⋊Dic11C22×C412yes—
218Dic11⋊C4—24no—
219Dic11⋊C4—81no—
220Dic11⋊C4—81no—
221Dic11⋊C4—81no—
222Dic11⋊C4—81no—
223C4×Dic11—24no—
224C4×Dic11—42no—
225C4×Dic11C22×C412yes—
226C4×Dic11C22×C412yes—
227C4×Dic11C2×D412yes—
228C4×Dic11C2×D412yes—
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×#542—111no—
236C2×#433—111no—
237#2317—111no—
238#1993—111no—
239#1990—111no—
240#1959—111no—
241#1958—111no—
242#1875—111no—
243#1874—111no—
244#1873—111no—
245#1872D1111yescharacteristic, complemented
246#1805—111no—
247#1804—111no—
248#1803—111no—
249#1802—111no—
250C23×C11—21no—
251C23×C11—21no—
252C23×C11—21no—
253C23×C11—21no—
254C23×C11—21no—
255C23×C11—21no—
256C23×C11C2×C22⋊C412yes—
257C23×C11C22×D411yescharacteristic
258C22×D11—22no—
259C22×D11—41no—
260C22×D11—41no—
261C22×D11—41no—
262C22×D11—41no—
263C22×D11—41no—
264C22×D11—41no—
265Q8×C11—22no—
266Q8×C11—22no—
267Q8×C11—41no—
268Q8×C11—41no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—22no—
272C2×C4×C11—22no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—22no—
277C2×C4×C11—41no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
281C2×C4×C11—41no—
282C2×C4×C11—41no—
283C2×C4×C11—41no—
284C2×C4×C11—41no—
285C2×C4×C11—41no—
286C2×C4×C11—41no—
287C2×C4×C11—84no—
288C2×C4×C11C2×C22⋊C412yes—
289C2×C4×C11C23×C411yescharacteristic
290C2×C4×C11C22×D411yescharacteristic
291C2×C4×C11H(5,𝔽2)11yescharacteristic
292C2×C4×C11H(5,𝔽2)11yescharacteristic
293C2×C4×C112−1+411yescharacteristic
294C2×C4×C112−1+411yescharacteristic
295C22⋊D11—84no—
296C2×Dic11—21no—
297C2×Dic11—21no—
298C2×Dic11—21no—
299C2×Dic11—21no—
300C2×Dic11—21no—
301C2×Dic11—21no—
302C2×Dic11—21no—
303C2×Dic11—21no—
304C2×Dic11—22no—
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×Dic11C2×C22⋊C412yes—
314C2×Dic11C2×C22⋊C412yes—
315C2×Dic11C2×C22⋊C412yes—
316C2×Dic11C2×C22⋊C412yes—
317D44—22no—
318D44—22no—
319D44—41no—
320D44—41no—
321C4×D11—84no—
322Dic22—84no—
323C8×C11—41no—
324C8×C11—41no—
325C11⋊C8—41no—
326C11⋊C8—41no—
327#542—118no—
328#542—224no—
329C2×C4⋊Q8—111no—
330C2×#126—221no—
331C2×#124—111no—
332C2×#124—221no—
333C2×#123—221no—
334C2×C22⋊Q8—221no—
335C2×C22⋊Q8C2×D1111yescharacteristic
336C2×#121—111no—
337C2×C4×Q8—111no—
338C2×C4×D4—111no—
339C2×#117—111no—
340C2×#117—111no—
341C22×C4⋊C4C2×D1111yescharacteristic
342#433—224no—
343C2×C4⋊C8—111no—
344C2×C4⋊C8—111no—
345C2×#103—111no—
346C2×#103—111no—
347C2×#103C2×D1111yescharacteristic
348C2×#103C2×D1111yescharacteristic
349C2×#102—111no—
350C2×#102—111no—
351C2×#102—111no—
352C2×#102—111no—
353C2×C22⋊C8—111no—
354C2×C22⋊C8C2×D1111yescharacteristic
355C2×#97—111no—
356C2×C4×C8—111no—
357#389—221no—
358#389—221no—
359#385—221no—
360#385—221no—
361#384—111no—
362#384—111no—
363#382—111no—
364#382—111no—
365#340—111no—
366#340—111no—
367#340—111no—
368#340—111no—
369#340—111no—
370#340—111no—
371#340C2×D1111yescharacteristic
372#340C2×D1111yescharacteristic
373C22×C11—22no—
374C22×C11—22no—
375C22×C11—22no—
376C22×C11—41no—
377C22×C11—41no—
378C22×C11—41no—
379C22×C11—41no—
380C22×C11C22×C22⋊C411yescharacteristic
381C22×C11#53511yescharacteristic
382C22×C11#53611yescharacteristic
383C22×C11#57611yescharacteristic
384C22×C11#57711yescharacteristic
385C22×C11#57711yescharacteristic
386C22×C11#57811yescharacteristic
387C2×D11—42no—
388C2×D11—42no—
389C2×D11—42no—
390C2×D11—81no—
391C2×D11—81no—
392C2×D11—81no—
393C2×D11—81no—
394C4×C11—22no—
395C4×C11—42no—
396C4×C11—42no—
397C4×C11—81no—
398C4×C11—81no—
399C4×C11#52011yescharacteristic
400C4×C11#52011yescharacteristic
401C4×C11#53711yescharacteristic
402C4×C11#53711yescharacteristic
403Dic11—22no—
404Dic11—22no—
405Dic11—22no—
406Dic11—22no—
407Dic11—42no—
408Dic11—81no—
409Dic11—81no—
410C22×Q8—221no—
411C22×Q8C22×D1111yescharacteristic
412C22×D4—111no—
413C22×D4—221no—
414C23×C4—21no—
415C23×C4—221no—
416C23×C4C22×D1111yescharacteristic
417C22×C8—111no—
418C22×C8—111no—
419C22×C8C22×D1111yescharacteristic
420C22×C8C22×D1111yescharacteristic
421C4⋊Q8—114no—
422C4⋊Q8—222no—
423#126—228no—
424#124—114no—
425#124—222no—
426#124—228no—
427#123—228no—
428C22⋊Q8—22no—
429C22⋊Q8—228no—
430C22⋊Q8C4×D1114yes—
431#121—114no—
432#121—222no—
433C4×Q8—114no—
434C4×Q8—222no—
435C4×D4—114no—
436C4×D4—222no—
437#117—114no—
438#117—114no—
439#117—441no—
440#117—441no—
441C2×C4⋊C4—21no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—41no—
444C2×C4⋊C4—41no—
445C2×C4⋊C4—111no—
446C2×C4⋊C4—111no—
447C2×C4⋊C4—111no—
448C2×C4⋊C4—111no—
449C2×C4⋊C4—111no—
450C2×C4⋊C4—221no—
451C2×C4⋊C4—221no—
452C2×C4⋊C4—221no—
453C2×C4⋊C4—221no—
454C2×C4⋊C4—221no—
455C2×C4⋊C4—221no—
456C2×C4⋊C4C22×D1111yescharacteristic
457C2×C4⋊C4C22×D1111yescharacteristic
458C2×C4⋊C4C22×D1111yescharacteristic
459C2×C22⋊C4—21no—
460C2×C22⋊C4—111no—
461C2×C22⋊C4—111no—
462C2×C22⋊C4—221no—
463C2×C22⋊C4—221no—
464C2×C22⋊C4—221no—
465C2×C22⋊C4—221no—
466C2×C22⋊C4—221no—
467C2×C42—111no—
468C2×C42—111no—
469C2×C42—221no—
470C2×C42—221no—
471C4⋊C8—222no—
472C4⋊C8—222no—
473#103—41no—
474#103—41no—
475#103—441no—
476#103—441no—
477#102—441no—
478#102—441no—
479#102—441no—
480#102—441no—
481C22⋊C8—22no—
482C22⋊C8—222no—
483#97—222no—
484C4×C8—222no—
485#95—221no—
486#95—221no—
487#95—221no—
488#95—221no—
489C2×C11—42no—
490C2×C11#231111yescharacteristic
491C2×C11#289711yescharacteristic
492C2×C11#289811yescharacteristic
493C2×C11#322411yescharacteristic
494C2×C11#322511yescharacteristic
495C2×C11#324311yescharacteristic
496C2×C11#324411yescharacteristic
497D11—82no—
498C24—221no—
499C24D4×D1111yescharacteristic
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—224no—
506C2×Q8—881no—
507C2×Q8—881no—
508C2×Q8C2×C4×D1112yes—
509C2×D4—112no—
510C2×D4—224no—
511C2×D4—221no—
512C2×D4—221no—
513C2×D4—221no—
514C2×D4—221no—
515C2×D4—221no—
516C2×D4—881no—
517C2×D4—881no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—42no—
527C22×C4—81no—
528C22×C4—81no—
529C22×C4—111no—
530C22×C4—111no—
531C22×C4—111no—
532C22×C4—111no—
533C22×C4—224no—
534C22×C4—221no—
535C22×C4—221no—
536C22×C4—221no—
537C22×C4—881no—
538C22×C4—881no—
539C22×C4C2×C4×D1112yes—
540C22×C4D4×D1111yescharacteristic
541C22×C4D4×D1112yes—
542C22×C4C23×D1111yescharacteristic
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—221no—
550C2×C8—221no—
551C2×C8—221no—
552C2×C8—221no—
553C2×C8—221no—
554C2×C8—221no—
555C4⋊C4—24no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—42no—
562C4⋊C4—114no—
563C4⋊C4—114no—
564C4⋊C4—112no—
565C4⋊C4—224no—
566C4⋊C4—224no—
567C4⋊C4—221no—
568C4⋊C4—221no—
569C4⋊C4—221no—
570C4⋊C4—221no—
571C4⋊C4—221no—
572C4⋊C4—881no—
573C4⋊C4—881no—
574C4⋊C4—881no—
575C4⋊C4—881no—
576C4⋊C4C2×C4×D1112yes—
577C22⋊C4—24no—
578C22⋊C4—114no—
579C22⋊C4—114no—
580C22⋊C4—224no—
581C22⋊C4—224no—
582C22⋊C4—224no—
583C22⋊C4—224no—
584C22⋊C4—442no—
585C42—112no—
586C42—112no—
587C42—112no—
588C42—112no—
589C42—224no—
590C42—442no—
591C11#2187111yescharacteristic, complemented, Sylow
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—222no—
599C23—441no—
600C23—441no—
601C23—441no—
602C23—441no—
603C23—441no—
604C23—441no—
605C23C22⋊C4×D1112yes—
606C23C2×D4×D1111yescharacteristic
607Q8—22no—
608Q8—22no—
609Q8—41no—
610Q8—41no—
611Q8—884no—
612D4—222no—
613D4—222no—
614D4—441no—
615D4—441no—
616D4—884no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—84no—
636C2×C4—112no—
637C2×C4—112no—
638C2×C4—112no—
639C2×C4—112no—
640C2×C4—221no—
641C2×C4—221no—
642C2×C4—221no—
643C2×C4—221no—
644C2×C4—221no—
645C2×C4—221no—
646C2×C4—221no—
647C2×C4—221no—
648C2×C4—222no—
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—884no—
658C2×C4C22⋊C4×D1112yes—
659C2×C4C22×C4×D1111yescharacteristic
660C2×C4C2×D4×D1111yescharacteristic
661C2×C4#6703711yescharacteristic
662C2×C4#6703711yescharacteristic
663C2×C4#6704311yescharacteristic
664C2×C4#6704311yescharacteristic
665C8—41no—
666C8—41no—
667C8—441no—
668C8—441no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—442no—
677C22—442no—
678C22—442no—
679C22—881no—
680C22—881no—
681C22—881no—
682C22—881no—
683C22C2×C22⋊C4×D1111yescharacteristic
684C22#1062312311yescharacteristic
685C22#1062317911yescharacteristic
686C22#1062329311yescharacteristic
687C22#1062329711yescharacteristic
688C22#1062330511yescharacteristic
689C22#1062330911yescharacteristic
690C4—22no—
691C4—42no—
692C4—42no—
693C4—81no—
694C4—81no—
695C4—222no—
696C4—222no—
697C4—222no—
698C4—222no—
699C4—442no—
700C4—881no—
701C4—881no—
702C4#1062307711yescharacteristic
703C4#1062307711yescharacteristic
704C4#1062312811yescharacteristic
705C4#1062312811yescharacteristic
706C2—42no—
707C2—882no—
708C2#1307120311yescharacteristic
709C2#1307714011yescharacteristic
710C2#1307714411yescharacteristic
711C2#1307971411yescharacteristic
712C2#1307973111yescharacteristic
713C2#1307990311yescharacteristic
714C2#1307991811yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1872C2
socleC23×C11C22×D4
prime radicalC2×#66983C22
cosocleC22×C4×C11C24
hypercenter#1872D11
hypocenterC11#21871
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1872

Complements

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

NH ≅ G/Ntype
2. C2×#10622333C2semidirect
3. #13071240C2semidirect
4. #13069587C2semidirect
5. #13069575C2semidirect
6. #13069429C2semidirect
7. #13069424C2semidirect
10. #13068929C2semidirect
11. #13068629C2semidirect
12. #13068625C2semidirect
13. #13068619C2semidirect
14. #13068615C2semidirect
15. C11×#1872C2semidirect
24. #10623174C4semidirect
85. #67000C2×C4semidirect
87. Q8×Dic11C2×C4semidirect
118. #66946C2×C4semidirect
120. #66941C2×C4semidirect
245. #1872D11semidirect
591. C11#21871semidirect

Maximal subgroups

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

subgroupindex
C2×#106231742
C2×#106223332
#130712402
#130695872
#130695752
#130694292
#130694242
#130689362
#130689332
#130689292
#130686292
#130686252
#130686192
#130686152
C11×#18722
#2187111