Finite Group Databasebeta

← #14767645

Subgroups — #14767645

Order 2816.

986 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622789C211yesmaximal, characteristic
2#13071340C211yesmaximal, characteristic, complemented
3#13071323C211yesmaximal, characteristic, complemented
4#13069424C211yesmaximal, characteristic, complemented
5#13069420C211yesmaximal, characteristic, complemented
6#13068971C211yesmaximal, characteristic, complemented
7#13068967C211yesmaximal, characteristic, complemented
8#13068965C211yesmaximal, characteristic, complemented
9#13068963C211yesmaximal, characteristic, complemented
10#13068962C211yesmaximal, characteristic, complemented
11#13068952C211yesmaximal, characteristic, complemented
12#13068947C211yesmaximal, characteristic, complemented
13#13068748C211yesmaximal, characteristic, complemented
14#13068366C211yesmaximal, characteristic, complemented
15C11×#1880C211yesmaximal, characteristic, complemented
16C22×C11×SD16C2211yescharacteristic
17C2×C4×Q8×C11C2211yescharacteristic
18C2×#67000C2211yescharacteristic
19C22×#4325C2211yescharacteristic
20C2×#66993C2211yescharacteristic
21C2×D4×Dic11C2211yescharacteristic
22C22×#4323C2211yescharacteristic
23C22×D88C2211yescharacteristic
24C2×#66946C2211yescharacteristic
25C2×C4×D44C2211yescharacteristic
26C2×C11×#103C2211yescharacteristic
27C2×C11×#102C2211yescharacteristic
28C11×#390C2211yescharacteristic
29#10622843C2211yescharacteristic
30C2×#66899C2211yescharacteristic
31C2×#66896C2211yescharacteristic
32#10622789C418yescomplemented
33C2×#66885C2211yescharacteristic
34C2×#66885C2211yescharacteristic
35C2×#66879C2211yescharacteristic
36C2×C8×Dic11C2211yescharacteristic
37#10622602—21no—
38#10622602—21no—
39#10622601C2211yescharacteristic
40#10622590C2211yescharacteristic
41#10622589C2211yescharacteristic
42C2×#66873C2211yescharacteristic
43C2×#66873C2211yescharacteristic
44#10622571—21no—
45#10622571—21no—
46#10622569—21no—
47#10622569—21no—
48#10622553—21no—
49#10622553—21no—
50#10622552C2211yescharacteristic
51#10622545C2211yescharacteristic
52C11×#340C2211yescharacteristic
53C11×#336C2211yescharacteristic
54#10622189C2211yescharacteristic
55#10622188C2211yescharacteristic
56#10622188C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622162C2211yescharacteristic
60C22×Q8×C11C2311yescharacteristic
61C22×D4×C11C2311yescharacteristic
62C22×C22⋊D11—21no—
63C22×C22⋊D11—21no—
64C23×Dic11—21no—
65C22×D44C2311yescharacteristic
66C22×D44C2311yescharacteristic
67C22×C4×D11—21no—
68C22×C4×D11—21no—
69C2×C11×SD16—41no—
70C2×C11×SD16—41no—
71C2×C11×SD16C2×C414yescomplemented
72C22×C8×C11C2311yescharacteristic
73C22×C8×C11C2311yescharacteristic
74C4×Q8×C11—41no—
75C4×Q8×C11—41no—
76C2×C11×C4⋊C4—21no—
77C2×C11×C4⋊C4C2311yescharacteristic
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C22⋊C4—21no—
80C2×C11×C22⋊C4—21no—
81C2×C42×C11—21no—
82C2×C42×C11C2311yescharacteristic
83C2×C22⋊Dic11—21no—
84#67000—22no—
85#67000C2×C414yescomplemented
86C2×#4325—41no—
87C2×#4325—41no—
88C2×#4325C2×C414yescomplemented
89#66993—22no—
90#66993C2×C414yescomplemented
91D4×Dic11—41no—
92D4×Dic11—41no—
93C2×#4323—41no—
94C2×#4323—41no—
95C2×#4323C2×C414yescomplemented
96C2×(C2×D11)⋊C4—21no—
97C2×(C2×D11)⋊C4—21no—
98C2×(C2×D11)⋊C4—21no—
99C2×(C2×D11)⋊C4—21no—
100C2×(C2×D11)⋊C4—21no—
101C2×(C2×D11)⋊C4—21no—
102C2×(C2×D11)⋊C4—21no—
103C2×(C2×D11)⋊C4—21no—
104C2×C4⋊Dic11C2311yescharacteristic
105C2×C4⋊Dic11C2311yescharacteristic
106C2×Dic11⋊C4—21no—
107C2×Dic11⋊C4—21no—
108C2×C4×Dic11C2311yescharacteristic
109C2×C4×Dic11C2311yescharacteristic
110C22×C11⋊C8C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112C2×D88—41no—
113C2×D88—41no—
114C2×D88C2×C414yescomplemented
115#66946—41no—
116#66946—41no—
117C4×D44—41no—
118C4×D44—41no—
119C11×#103—41no—
120C11×#102—41no—
121#66899—41no—
122#66896—41no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C11⋊#95—21no—
126C11⋊#95—21no—
127C11⋊#95D411yescharacteristic
128C11⋊#95D411yescharacteristic
129C11⋊#95D411yescharacteristic
130C11⋊#95D411yescharacteristic
131#66885—41no—
132#66885—41no—
133#66879C2×C414yescomplemented
134C8×Dic11—22no—
135#66873—41no—
136#66873—41no—
137#22279—111nomaximal, Sylow
138C24×C11—21no—
139C23×D11—21no—
140C23×D11—21no—
141C2×Q8×C11—21no—
142C2×Q8×C11—21no—
143C2×Q8×C11—21no—
144C2×Q8×C11—21no—
145C2×Q8×C11—21no—
146C2×Q8×C11C22×C412yes—
147C2×D4×C11—21no—
148C2×D4×C11—21no—
149C2×D4×C11—21no—
150C2×D4×C11—21no—
151C2×D4×C11—21no—
152C2×D4×C11C22×C412yes—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11C2×D411yescharacteristic
157C22×C4×C11C2×D411yescharacteristic
158C22×C4×C11C2411yescharacteristic
159C2×C22⋊D11—24no—
160C2×C22⋊D11—24no—
161C2×C22⋊D11—81no—
162C2×C22⋊D11—81no—
163C2×C22⋊D11—81no—
164C2×C22⋊D11—81no—
165C22×Dic11—21no—
166C22×Dic11—21no—
167C22×Dic11—42no—
168C22×Dic11—81no—
169C22×Dic11—81no—
170C22×Dic11C2×D411yescharacteristic
171C22×Dic11C2×D411yescharacteristic
172C22×Dic11C2×D411yescharacteristic
173C22×Dic11C2×D411yescharacteristic
174C2×D44—21no—
175C2×D44—21no—
176C2×D44—21no—
177C2×D44—21no—
178C2×D44—21no—
179C2×D44—21no—
180C2×D44—21no—
181C2×D44—21no—
182C2×D44—21no—
183C2×D44—21no—
184C2×D44C22×C412yes—
185C2×D44C22×C412yes—
186C2×C4×D11—42no—
187C2×C4×D11—42no—
188C2×C4×D11—81no—
189C2×C4×D11—81no—
190C2×C4×D11—81no—
191C2×C4×D11—81no—
192C11×SD16—44no—
193C2×C8×C11—21no—
194C2×C8×C11—21no—
195C2×C8×C11—21no—
196C2×C8×C11—21no—
197C2×C8×C11—21no—
198C2×C8×C11C22×C412yes—
199C11×C4⋊C4—21no—
200C11×C4⋊C4—21no—
201C11×C4⋊C4—21no—
202C11×C4⋊C4—21no—
203C11×C4⋊C4—42no—
204C11×C22⋊C4—81no—
205C11×C22⋊C4—81no—
206C42×C11—21no—
207C42×C11—21no—
208C42×C11—42no—
209C22⋊Dic11—42no—
210#4325—44no—
211#4323—44no—
212(C2×D11)⋊C4—24no—
213(C2×D11)⋊C4—24no—
214(C2×D11)⋊C4—42no—
215(C2×D11)⋊C4—42no—
216(C2×D11)⋊C4—81no—
217(C2×D11)⋊C4—81no—
218(C2×D11)⋊C4—81no—
219(C2×D11)⋊C4—81no—
220C4⋊Dic11—21no—
221C4⋊Dic11—21no—
222C4⋊Dic11—21no—
223C4⋊Dic11—21no—
224Dic11⋊C4—81no—
225Dic11⋊C4—81no—
226C4×Dic11—21no—
227C4×Dic11—21no—
228C4×Dic11C22×C412yes—
229C4×Dic11#4112yes—
230C2×C11⋊C8—21no—
231C2×C11⋊C8—21no—
232C2×C11⋊C8—21no—
233C2×C11⋊C8—21no—
234C2×C11⋊C8—21no—
235C2×C11⋊C8C22×C412yes—
236D88—44no—
237C2×#496—111no—
238#2328—111no—
239#2326—111no—
240#1958—111no—
241#1957—111no—
242#1880—111no—
243#1880D1111yescharacteristic, complemented
244#1879—111no—
245#1879—111no—
246#1879—111no—
247#1879—111no—
248#1877—111no—
249#1877—111no—
250#1836—111no—
251#1746—111no—
252C23×C11—22no—
253C23×C11—41no—
254C23×C11—41no—
255C23×C11—41no—
256C23×C11—41no—
257C23×C11—41no—
258C23×C11—41no—
259C23×C11C22×D411yescharacteristic
260C22×D11—22no—
261C22×D11—22no—
262C22×D11—41no—
263C22×D11—41no—
264C22×D11—41no—
265C22×D11—41no—
266C22×D11—41no—
267C22×D11—41no—
268C22×D11—41no—
269C22×D11—41no—
270C22×D11—41no—
271C22×D11—41no—
272C22×D11—41no—
273C22×D11—41no—
274Q8×C11—22no—
275Q8×C11—22no—
276Q8×C11—41no—
277Q8×C11—41no—
278D4×C11—22no—
279D4×C11—22no—
280D4×C11—41no—
281D4×C11—41no—
282C2×C4×C11—22no—
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—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11C23×C411yescharacteristic
298C2×C4×C11C2×#4111yescharacteristic
299C2×C4×C11H(5,𝔽2)11yescharacteristic
300C2×C4×C11H(5,𝔽2)11yescharacteristic
301C2×C4×C11H(5,𝔽2)11yescharacteristic
302C2×C4×C11H(5,𝔽2)11yescharacteristic
303C22⋊D11—84no—
304C22⋊D11—84no—
305C2×Dic11—21no—
306C2×Dic11—21no—
307C2×Dic11—21no—
308C2×Dic11—21no—
309C2×Dic11—21no—
310C2×Dic11—21no—
311C2×Dic11—21no—
312C2×Dic11—21no—
313C2×Dic11—21no—
314C2×Dic11—21no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11—41no—
320C2×Dic11—41no—
321C2×Dic11—84no—
322C2×Dic11C4×D412yes—
323C2×Dic11C4×D412yes—
324D44—22no—
325D44—22no—
326D44—22no—
327D44—22no—
328D44—41no—
329D44—41no—
330D44—41no—
331D44—41no—
332C4×D11—84no—
333C4×D11—84no—
334C8×C11—22no—
335C8×C11—41no—
336C11⋊C8—22no—
337C11⋊C8—41no—
338C22×SD16—111no—
339C22×SD16C2×D1111yescharacteristic
340C22×D8—111no—
341C22×D8—111no—
342C2×#127—111no—
343C2×#124—111no—
344C2×C4×Q8C2×D1111yescharacteristic
345C2×C4×D4—111no—
346C2×C4×D4—111no—
347C2×C4×D4—111no—
348#496—118no—
349C2×#103—111no—
350C2×#103C2×D1111yescharacteristic
351C2×#102—111no—
352C2×#102—111no—
353C2×#102—111no—
354C2×#102—111no—
355C2×#102—111no—
356C2×#102C2×D1111yescharacteristic
357C2×#97—111no—
358C2×C4×C8—111no—
359#391—111no—
360#390—111no—
361#390—111no—
362#390C2×D1111yescharacteristic
363#388—221no—
364#388—221no—
365#386—221no—
366#386—221no—
367#386—221no—
368#386—221no—
369#385—221no—
370#385—221no—
371#384—111no—
372#382—111no—
373#376—111no—
374#340—111no—
375#340—111no—
376#340—111no—
377#340C2×D1111yescharacteristic
378#336—111no—
379#336—111no—
380#336—111no—
381#336C2×D1111yescharacteristic
382C22×C11—42no—
383C22×C11—42no—
384C22×C11—42no—
385C22×C11—81no—
386C22×C11—81no—
387C22×C11—81no—
388C22×C11—81no—
389C22×C11C2×C4×D411yescharacteristic
390C22×C11#53511yescharacteristic
391C22×C11#53511yescharacteristic
392C22×C11#57611yescharacteristic
393C22×C11#57611yescharacteristic
394C22×C11#57711yescharacteristic
395C22×C11#57711yescharacteristic
396C2×D11—42no—
397C2×D11—42no—
398C2×D11—42no—
399C2×D11—42no—
400C2×D11—42no—
401C2×D11—42no—
402C2×D11—81no—
403C2×D11—81no—
404C2×D11—81no—
405C2×D11—81no—
406C2×D11—81no—
407C2×D11—81no—
408C2×D11—81no—
409C2×D11—81no—
410C4×C11—42no—
411C4×C11—41no—
412C4×C11—41no—
413C4×C11—81no—
414C4×C11—81no—
415C4×C11#51811yescharacteristic
416C4×C11#51811yescharacteristic
417C4×C11#54011yescharacteristic
418C4×C11#54011yescharacteristic
419Dic11—22no—
420Dic11—22no—
421Dic11—41no—
422Dic11—41no—
423Dic11—81no—
424Dic11—81no—
425C22×Q8C22×D1111yescharacteristic
426C22×D4—111no—
427C22×D4—111no—
428C22×D4—221no—
429C22×D4—221no—
430C22×D4C22×D1111yescharacteristic
431C23×C4—221no—
432C23×C4—221no—
433C23×C4—221no—
434C2×SD16—41no—
435C2×SD16—41no—
436C2×SD16—114no—
437C2×SD16—441no—
438C2×SD16—441no—
439C2×SD16C4×D1114yescomplemented
440C2×D8—114no—
441C2×D8—114no—
442C2×D8—441no—
443C2×D8—441no—
444C2×D8—441no—
445C2×D8—441no—
446C22×C8—111no—
447C22×C8—111no—
448C22×C8C22×D1111yescharacteristic
449C22×C8C22×D1111yescharacteristic
450#127—114no—
451#127—222no—
452#124—114no—
453#124—222no—
454C4×Q8—41no—
455C4×Q8—41no—
456C4×D4—441no—
457C4×D4—441no—
458C4×D4—441no—
459C4×D4—441no—
460C4×D4—441no—
461C4×D4—441no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4—111no—
464C2×C4⋊C4—111no—
465C2×C4⋊C4—221no—
466C2×C4⋊C4—221no—
467C2×C4⋊C4C22×D1111yescharacteristic
468C2×C4⋊C4C22×D1111yescharacteristic
469C2×C22⋊C4—21no—
470C2×C22⋊C4—21no—
471C2×C22⋊C4—221no—
472C2×C22⋊C4—221no—
473C2×C22⋊C4—221no—
474C2×C22⋊C4—221no—
475C2×C22⋊C4—221no—
476C2×C22⋊C4—221no—
477C2×C22⋊C4—221no—
478C2×C22⋊C4—221no—
479C2×C22⋊C4—221no—
480C2×C42—21no—
481C2×C42—111no—
482C2×C42—111no—
483C2×C42C22×D1111yescharacteristic
484#103—41no—
485#103—441no—
486#102—41no—
487#102—441no—
488#102—441no—
489#102—441no—
490#102—441no—
491#102—441no—
492#97—114no—
493C4×C8—222no—
494#95—111no—
495#95—111no—
496#95—111no—
497#95—111no—
498#95—221no—
499#95—221no—
500#95—221no—
501#95—221no—
502C2×C11—82no—
503C2×C11#232811yescharacteristic
504C2×C11#294611yescharacteristic
505C2×C11#294611yescharacteristic
506C2×C11#322011yescharacteristic
507C2×C11#322111yescharacteristic
508C2×C11#322411yescharacteristic
509C2×C11#322411yescharacteristic
510D11—82no—
511D11—82no—
512C24—21no—
513C24—221no—
514C24—221no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8C2×C4×D1112yes—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—21no—
524C2×D4—21no—
525C2×D4—21no—
526C2×D4—112no—
527C2×D4—112no—
528C2×D4—224no—
529C2×D4—224no—
530C2×D4—221no—
531C2×D4—221no—
532C2×D4—221no—
533C2×D4—221no—
534C2×D4—221no—
535C2×D4—221no—
536C2×D4—221no—
537C2×D4—221no—
538C2×D4—221no—
539C2×D4—221no—
540C2×D4—881no—
541C2×D4—881no—
542C2×D4—881no—
543C2×D4—881no—
544C2×D4C2×C4×D1112yes—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—111no—
549C22×C4—111no—
550C22×C4—111no—
551C22×C4—111no—
552C22×C4—221no—
553C22×C4—221no—
554C22×C4—442no—
555C22×C4—442no—
556C22×C4—442no—
557C22×C4—881no—
558C22×C4—881no—
559C22×C4—881no—
560C22×C4—881no—
561C22×C4—881no—
562C22×C4—881no—
563C22×C4D4×D1111yescharacteristic
564C22×C4D4×D1111yescharacteristic
565C22×C4C23×D1111yescharacteristic
566SD16—44no—
567SD16—444no—
568D8—444no—
569D8—444no—
570C2×C8—21no—
571C2×C8—21no—
572C2×C8—21no—
573C2×C8—21no—
574C2×C8—21no—
575C2×C8—112no—
576C2×C8—221no—
577C2×C8—221no—
578C2×C8—221no—
579C2×C8—221no—
580C2×C8—221no—
581C2×C8C2×C4×D1112yes—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—42no—
587C4⋊C4—221no—
588C4⋊C4—221no—
589C4⋊C4—221no—
590C4⋊C4—221no—
591C4⋊C4—881no—
592C4⋊C4—881no—
593C22⋊C4—81no—
594C22⋊C4—81no—
595C22⋊C4—224no—
596C22⋊C4—224no—
597C22⋊C4—442no—
598C22⋊C4—442no—
599C22⋊C4—442no—
600C22⋊C4—881no—
601C22⋊C4—881no—
602C22⋊C4—881no—
603C22⋊C4—881no—
604C42—21no—
605C42—21no—
606C42—42no—
607C42—112no—
608C42—112no—
609C42—221no—
610C42—221no—
611C11#2227911yescharacteristic, complemented, Sylow
612C23—22no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—222no—
620C23—222no—
621C23—441no—
622C23—441no—
623C23—441no—
624C23—441no—
625C23—441no—
626C23—441no—
627C23—441no—
628C23—441no—
629C23—441no—
630C23—441no—
631C23—441no—
632C23—441no—
633C23C2×D4×D1111yescharacteristic
634Q8—22no—
635Q8—22no—
636Q8—41no—
637Q8—41no—
638D4—22no—
639D4—22no—
640D4—41no—
641D4—41no—
642D4—222no—
643D4—222no—
644D4—222no—
645D4—222no—
646D4—441no—
647D4—441no—
648D4—441no—
649D4—441no—
650D4—884no—
651D4—884no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—22no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—112no—
668C2×C4—112no—
669C2×C4—221no—
670C2×C4—221no—
671C2×C4—221no—
672C2×C4—221no—
673C2×C4—221no—
674C2×C4—221no—
675C2×C4—221no—
676C2×C4—221no—
677C2×C4—221no—
678C2×C4—221no—
679C2×C4—441no—
680C2×C4—441no—
681C2×C4—441no—
682C2×C4—441no—
683C2×C4—441no—
684C2×C4—441no—
685C2×C4—884no—
686C2×C4—884no—
687C2×C4—884no—
688C2×C4C22×C4×D1111yescharacteristic
689C2×C4#6703711yescharacteristic
690C2×C4#6703711yescharacteristic
691C2×C4#6703711yescharacteristic
692C2×C4#41×D1111yescharacteristic
693C2×C4#6704211yescharacteristic
694C8—22no—
695C8—41no—
696C8—222no—
697C8—441no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—81no—
702C22—81no—
703C22—81no—
704C22—81no—
705C22—442no—
706C22—442no—
707C22—442no—
708C22—442no—
709C22—442no—
710C22—442no—
711C22—881no—
712C22—881no—
713C22—881no—
714C22—881no—
715C22—881no—
716C22—881no—
717C22—881no—
718C22—881no—
719C22C4×D4×D1111yescharacteristic
720C22#1062312311yescharacteristic
721C22#1062313811yescharacteristic
722C22#1062329311yescharacteristic
723C22#1062330011yescharacteristic
724C22#1062330511yescharacteristic
725C22#1062330911yescharacteristic
726C4—41no—
727C4—41no—
728C4—42no—
729C4—81no—
730C4—81no—
731C4—222no—
732C4—222no—
733C4—441no—
734C4—441no—
735C4—881no—
736C4—881no—
737C4#1062301711yescharacteristic
738C4#1062307611yescharacteristic
739C4#1062314611yescharacteristic
740C4#1062319411yescharacteristic
741C2—82no—
742C2—882no—
743C2—882no—
744C2#1307133711yescharacteristic
745C2#1307744311yescharacteristic
746C2#1307744711yescharacteristic
747C2#1307966411yescharacteristic
748C2#1307967311yescharacteristic
749C2#1307971511yescharacteristic
750C2#1307971711yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1880C2
socleC23×C11C22×D4
prime radicalC2×#10622789C2
cosocleC22×C4×C11C24
hypercenter#1880D11
hypocenterC11#22279
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1880

Complements

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

NH ≅ G/Ntype
2. #13071340C2semidirect
3. #13071323C2semidirect
4. #13069424C2semidirect
5. #13069420C2semidirect
6. #13068971C2semidirect
7. #13068967C2semidirect
8. #13068965C2semidirect
9. #13068963C2semidirect
10. #13068962C2semidirect
11. #13068952C2semidirect
12. #13068947C2semidirect
13. #13068748C2semidirect
14. #13068366C2semidirect
15. C11×#1880C2semidirect
32. #10622789C4semidirect
71. C2×C11×SD16C2×C4semidirect
85. #67000C2×C4semidirect
88. C2×#4325C2×C4semidirect
90. #66993C2×C4semidirect
95. C2×#4323C2×C4semidirect
114. C2×D88C2×C4semidirect
133. #66879C2×C4semidirect
243. #1880D11semidirect
439. C2×SD16C4×D11semidirect
611. C11#22279semidirect

Maximal subgroups

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

subgroupindex
C2×#106227892
#130713402
#130713232
#130694242
#130694202
#130689712
#130689672
#130689652
#130689632
#130689622
#130689522
#130689472
#130687482
#130683662
C11×#18802
#2227911