Finite Group Databasebeta

← #14680974

Subgroups — #14680974

Order 2816.

2150 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×(C22⋊D11)⋊C4C211yesmaximal, characteristic
2C2×#10622556C211yesmaximal, characteristic, complemented
3C2×#10622555C211yesmaximal, characteristic, complemented
4#13066867C212yesmaximal, complemented
5#13066865C211yesmaximal, characteristic, complemented
6#13066860C212yesmaximal, complemented
7#13066855C211yesmaximal, characteristic
8#13066855C211yesmaximal, characteristic
9#13066842C212yesmaximal, complemented
10(C2×D11)⋊#95C212yesmaximal, complemented
11C11×#1440C211yesmaximal, characteristic, complemented
12C23×C22⋊D11C2211yescharacteristic
13C24×Dic11C2211yescharacteristic
14C23×C4×D11C2211yescharacteristic
15C22×C11×C22⋊C4C2211yescharacteristic
16C22×C11×C22⋊C4C2211yescharacteristic
17C22×C11×C22⋊C4C2211yescharacteristic
18C22×C22⋊Dic11C2211yescharacteristic
19C22×C22⋊Dic11C2211yescharacteristic
20C22×(C2×D11)⋊C4C2211yescharacteristic
21C22×(C2×D11)⋊C4C2212yes—
22C22×(C2×D11)⋊C4C2212yes—
23C22×Dic11⋊C4C2211yescharacteristic
24C22×Dic11⋊C4C2212yes—
25C22×C4×Dic11C2211yescharacteristic
26C2×(C22⋊D11)⋊C4—24no—
27C2×(C22⋊D11)⋊C4—24no—
28C2×(C22⋊D11)⋊C4C418yescomplemented
29C2×C11×#95C2212yes—
30C2×C11×#95C2212yes—
31C2×C11⋊#95C2212yes—
32C2×C11⋊#95C2212yes—
33C2×C11⋊#95C2212yes—
34C2×C11⋊#95C2212yes—
35C2×C11⋊#95C2212yes—
36C2×C11⋊#95C2212yes—
37C2×C11⋊#95C2212yes—
38#10622556—24no—
39#10622555—24no—
40C25×C11C2311yescharacteristic
41C24×D11C2311yescharacteristic
42C23×C4×C11C2312yes—
43C23×C4×C11C2312yes—
44C23×C4×C11C2311yescharacteristic
45C23×C4×C11C2311yescharacteristic
46C22×C22⋊D11—22no—
47C22×C22⋊D11—22no—
48C22×C22⋊D11—24no—
49C22×C22⋊D11—24no—
50C22×C22⋊D11C2×C414yes—
51C23×Dic11—42no—
52C23×Dic11—42no—
53C23×Dic11C2×C414yes—
54C23×Dic11D414yes—
55C23×Dic11D414yes—
56C23×Dic11C2312yes—
57C23×Dic11C2312yes—
58C23×Dic11C2311yescharacteristic
59C23×Dic11C2311yescharacteristic
60C23×Dic11C2311yescharacteristic
61C22×C4×D11—22no—
62C22×C4×D11—22no—
63C22×C4×D11—42no—
64C22×C4×D11—42no—
65C22×C4×D11C2×C414yes—
66C2×C11×C22⋊C4—22no—
67C2×C11×C22⋊C4—22no—
68C2×C11×C22⋊C4—22no—
69C2×C11×C22⋊C4—22no—
70C2×C11×C22⋊C4—42no—
71C2×C11×C22⋊C4—42no—
72C2×C11×C22⋊C4C2×C414yes—
73C2×C22⋊Dic11—22no—
74C2×C22⋊Dic11—22no—
75C2×C22⋊Dic11—42no—
76C2×C22⋊Dic11—42no—
77C2×(C2×D11)⋊C4—22no—
78C2×(C2×D11)⋊C4—22no—
79C2×(C2×D11)⋊C4—24no—
80C2×(C2×D11)⋊C4—24no—
81C2×(C2×D11)⋊C4—42no—
82C2×(C2×D11)⋊C4—42no—
83C2×(C2×D11)⋊C4—42no—
84C2×(C2×D11)⋊C4—42no—
85C2×(C2×D11)⋊C4C2×C414yes—
86C2×Dic11⋊C4—22no—
87C2×Dic11⋊C4—22no—
88C2×Dic11⋊C4—24no—
89C2×Dic11⋊C4—42no—
90C2×Dic11⋊C4—42no—
91C2×Dic11⋊C4C2×C414yes—
92C2×C4×Dic11—22no—
93C2×C4×Dic11—22no—
94C2×C4×Dic11C2×C414yes—
95(C22⋊D11)⋊C4—232no—
96C11×#95—42no—
97C11×#95—42no—
98C11⋊#95—24no—
99C11⋊#95—24no—
100C11⋊#95—24no—
101C11⋊#95—24no—
102C11⋊#95—24no—
103C11⋊#95—42no—
104C11⋊#95—42no—
105#14344—111nomaximal, Sylow
106C24×C11—22no—
107C24×C11—22no—
108C24×C11—22no—
109C24×C11—22no—
110C24×C11—22no—
111C24×C11—22no—
112C24×C11C22×C412yes—
113C24×C11C2×D412yes—
114C24×C11C2×D412yes—
115C24×C11C2411yescharacteristic
116C23×D11—21no—
117C23×D11—21no—
118C23×D11—22no—
119C23×D11—22no—
120C23×D11—22no—
121C23×D11—22no—
122C23×D11—22no—
123C23×D11C22×C412yes—
124C23×D11#4114yes—
125C22×C4×C11—21no—
126C22×C4×C11—21no—
127C22×C4×C11—21no—
128C22×C4×C11—21no—
129C22×C4×C11—22no—
130C22×C4×C11—22no—
131C22×C4×C11—22no—
132C22×C4×C11—22no—
133C22×C4×C11—22no—
134C22×C4×C11—22no—
135C22×C4×C11—22no—
136C22×C4×C11—22no—
137C22×C4×C11—22no—
138C22×C4×C11—22no—
139C22×C4×C11—22no—
140C22×C4×C11—22no—
141C22×C4×C11—22no—
142C22×C4×C11—22no—
143C22×C4×C11—22no—
144C22×C4×C11—22no—
145C22×C4×C11—22no—
146C22×C4×C11—22no—
147C22×C4×C11C22×C412yes—
148C22×C4×C11C22×C412yes—
149C2×C22⋊D11—216no—
150C2×C22⋊D11—216no—
151C2×C22⋊D11—28no—
152C2×C22⋊D11—28no—
153C2×C22⋊D11—28no—
154C22×Dic11—21no—
155C22×Dic11—21no—
156C22×Dic11—22no—
157C22×Dic11—22no—
158C22×Dic11—22no—
159C22×Dic11—22no—
160C22×Dic11—22no—
161C22×Dic11—22no—
162C22×Dic11—22no—
163C22×Dic11—22no—
164C22×Dic11—22no—
165C22×Dic11—22no—
166C22×Dic11—22no—
167C22×Dic11—22no—
168C22×Dic11—22no—
169C22×Dic11—22no—
170C22×Dic11—22no—
171C22×Dic11—22no—
172C22×Dic11—22no—
173C22×Dic11—22no—
174C22×Dic11—22no—
175C22×Dic11—48no—
176C22×Dic11—44no—
177C22×Dic11—44no—
178C22×Dic11—48no—
179C22×Dic11C22⋊C4116yescomplemented
180C22×Dic11C22×C412yes—
181C22×Dic11C22×C412yes—
182C22×Dic11C22×C412yes—
183C22×Dic11C2×D412yes—
184C22×Dic11C2×D412yes—
185C22×Dic11C2×D412yes—
186C22×Dic11C2×D412yes—
187C22×Dic11#4114yes—
188C2×C4×D11—28no—
189C2×C4×D11—48no—
190C2×C4×D11—44no—
191C2×C4×D11—48no—
192C2×C4×D11—44no—
193C11×C22⋊C4—28no—
194C11×C22⋊C4—44no—
195C11×C22⋊C4—44no—
196C22⋊Dic11—44no—
197C22⋊Dic11—44no—
198(C2×D11)⋊C4—28no—
199(C2×D11)⋊C4—48no—
200(C2×D11)⋊C4—48no—
201Dic11⋊C4—28no—
202Dic11⋊C4—48no—
203C4×Dic11—28no—
204C22×C4×D4—111no—
205C2×#381—111no—
206C2×#380—111no—
207#1441—112no—
208#1440—111no—
209#1440D1111yescharacteristic, complemented
210#1439—112no—
211#1438—111no—
212#1438—111no—
213#1434—112no—
214C22⋊#95—112no—
215C23×C11—22no—
216C23×C11—22no—
217C23×C11—24no—
218C23×C11—24no—
219C23×C11—24no—
220C23×C11—24no—
221C23×C11—22no—
222C23×C11—22no—
223C23×C11—24no—
224C23×C11—22no—
225C23×C11—22no—
226C23×C11—24no—
227C23×C11—42no—
228C23×C11—42no—
229C23×C11—42no—
230C23×C11—42no—
231C23×C11—42no—
232C23×C11—42no—
233C23×C11—42no—
234C23×C11—42no—
235C23×C11C2×C22⋊C414yes—
236C23×C11C23×C411yescharacteristic
237C23×C11C22×D411yescharacteristic
238C23×C11C22×D411yescharacteristic
239C23×C11C2×#4112yes—
240C23×C11C2×#4112yes—
241C23×C11H(5,𝔽2)12yes—
242C23×C11H(5,𝔽2)12yes—
243C23×C11H(5,𝔽2)12yes—
244C23×C112−1+412yes—
245C22×D11—22no—
246C22×D11—22no—
247C22×D11—24no—
248C22×D11—24no—
249C22×D11—24no—
250C22×D11—24no—
251C22×D11—24no—
252C22×D11—24no—
253C22×D11—24no—
254C22×D11—24no—
255C22×D11—41no—
256C22×D11—42no—
257C22×D11—41no—
258C22×D11—41no—
259C22×D11—41no—
260C22×D11—42no—
261C22×D11—42no—
262C22×D11—42no—
263C22×D11—42no—
264C22×D11—42no—
265C22×D11#11714yes—
266C2×C4×C11—22no—
267C2×C4×C11—22no—
268C2×C4×C11—24no—
269C2×C4×C11—24no—
270C2×C4×C11—41no—
271C2×C4×C11—42no—
272C2×C4×C11—41no—
273C2×C4×C11—41no—
274C2×C4×C11—41no—
275C2×C4×C11—42no—
276C2×C4×C11—42no—
277C2×C4×C11—42no—
278C2×C4×C11—42no—
279C2×C4×C11—42no—
280C2×C4×C11—42no—
281C2×C4×C11—42no—
282C2×C4×C11—42no—
283C2×C4×C11—42no—
284C2×C4×C11—42no—
285C2×C4×C11—42no—
286C2×C4×C11—42no—
287C2×C4×C11—42no—
288C2×C4×C11—42no—
289C2×C4×C11—42no—
290C22⋊D11—232no—
291C2×Dic11—22no—
292C2×Dic11—22no—
293C2×Dic11—24no—
294C2×Dic11—24no—
295C2×Dic11—24no—
296C2×Dic11—24no—
297C2×Dic11—24no—
298C2×Dic11—22no—
299C2×Dic11—24no—
300C2×Dic11—22no—
301C2×Dic11—22no—
302C2×Dic11—22no—
303C2×Dic11—416no—
304C2×Dic11—42no—
305C2×Dic11—42no—
306C2×Dic11—42no—
307C2×Dic11—42no—
308C2×Dic11—42no—
309C2×Dic11—42no—
310C2×Dic11—42no—
311C2×Dic11—42no—
312C2×Dic11—42no—
313C2×Dic11—42no—
314C2×Dic11—42no—
315C2×Dic11—42no—
316C2×Dic11—42no—
317C2×Dic11—42no—
318C2×Dic11C2×C22⋊C414yes—
319C2×Dic11C2×C22⋊C414yes—
320C2×Dic11#11714yes—
321C4×D11—416no—
322C23×D4—111no—
323C24×C4—111no—
324C24×C4—111no—
325C2×C4×D4—118no—
326C2×C4×D4—224no—
327C2×C4×D4—224no—
328C22×C4⋊C4—111no—
329C22×C4⋊C4—112no—
330C22×C22⋊C4—111no—
331C22×C22⋊C4—111no—
332C22×C22⋊C4—111no—
333C22×C22⋊C4—112no—
334C22×C22⋊C4—112no—
335C22×C22⋊C4C2×D1111yescharacteristic
336C22×C22⋊C4C2×D1111yescharacteristic
337C22×C22⋊C4C2×D1111yescharacteristic
338C22×C42—111no—
339#381—224no—
340#380—224no—
341C2×#95—112no—
342C2×#95—112no—
343C2×#95—112no—
344C2×#95—112no—
345C2×#95—112no—
346C2×#95—112no—
347C2×#95—112no—
348C2×#95C2×D1112yes—
349C2×#95C2×D1112yes—
350C22×C11—24no—
351C22×C11—24no—
352C22×C11—24no—
353C22×C11—44no—
354C22×C11—44no—
355C22×C11—44no—
356C22×C11—44no—
357C22×C11—44no—
358C22×C11—44no—
359C22×C11C22×C22⋊C411yescharacteristic
360C22×C11C2×#11711yescharacteristic
361C22×C11C2×#11711yescharacteristic
362C22×C11#51812yes—
363C22×C11#52012yes—
364C22×C11#52512yes—
365C22×C11#52512yes—
366C22×C11#53411yescharacteristic
367C22×C11#53412yes—
368C22×C11#53411yescharacteristic
369C22×C11#53511yescharacteristic
370C22×C11#53611yescharacteristic
371C22×C11#53712yes—
372C22×C11#53812yes—
373C22×C11#53812yes—
374C22×C11#53912yes—
375C22×C11#53912yes—
376C22×C11#54012yes—
377C22×C11#54012yes—
378C22×C11#54212yes—
379C22×C11#54212yes—
380C2×D11—28no—
381C2×D11—24no—
382C2×D11—42no—
383C2×D11—42no—
384C2×D11—44no—
385C2×D11—44no—
386C2×D11—44no—
387C2×D11—44no—
388C2×D11—44no—
389C4×C11—42no—
390C4×C11—42no—
391C4×C11—82no—
392C4×C11—82no—
393Dic11—24no—
394Dic11—24no—
395Dic11—24no—
396Dic11—82no—
397Dic11—82no—
398C25—111no—
399C25C22×D1111yescharacteristic
400C22×D4—114no—
401C22×D4—224no—
402C22×D4—224no—
403C22×D4—222no—
404C22×D4—222no—
405C23×C4—111no—
406C23×C4—111no—
407C23×C4—111no—
408C23×C4—114no—
409C23×C4—114no—
410C23×C4—114no—
411C23×C4—114no—
412C23×C4—112no—
413C23×C4—112no—
414C23×C4—222no—
415C23×C4—222no—
416C23×C4—442no—
417C23×C4—442no—
418C23×C4—442no—
419C23×C4—442no—
420C23×C4C22×D1112yes—
421C23×C4C22×D1112yes—
422C23×C4C22×D1111yescharacteristic
423C23×C4C22×D1111yescharacteristic
424C4×D4—2232no—
425C2×C4⋊C4—114no—
426C2×C4⋊C4—222no—
427C2×C4⋊C4—222no—
428C2×C4⋊C4—224no—
429C2×C4⋊C4—442no—
430C2×C4⋊C4—442no—
431C2×C22⋊C4—22no—
432C2×C22⋊C4—22no—
433C2×C22⋊C4—22no—
434C2×C22⋊C4—22no—
435C2×C22⋊C4—42no—
436C2×C22⋊C4—42no—
437C2×C22⋊C4—114no—
438C2×C22⋊C4—222no—
439C2×C22⋊C4—222no—
440C2×C22⋊C4—224no—
441C2×C22⋊C4—224no—
442C2×C22⋊C4—222no—
443C2×C22⋊C4—222no—
444C2×C22⋊C4—442no—
445C2×C22⋊C4—442no—
446C2×C22⋊C4—442no—
447C2×C22⋊C4—442no—
448C2×C22⋊C4—442no—
449C2×C22⋊C4—442no—
450C2×C22⋊C4C4×D1114yes—
451C2×C42—114no—
452C2×C42—222no—
453C2×C42—222no—
454#95—42no—
455#95—42no—
456#95—224no—
457#95—224no—
458#95—224no—
459#95—224no—
460#95—224no—
461#95—442no—
462#95—442no—
463C2×C11—44no—
464C2×C11#228011yescharacteristic
465C2×C11#230811yescharacteristic
466C2×C11#231111yescharacteristic
467C2×C11#231812yes—
468C2×C11#231912yes—
469C2×C11#263012yes—
470C2×C11#263012yes—
471C2×C11#263512yes—
472C2×C11#263812yes—
473D11—44no—
474C24—22no—
475C24—22no—
476C24—22no—
477C24—22no—
478C24—22no—
479C24—22no—
480C24—112no—
481C24—114no—
482C24—221no—
483C24—221no—
484C24—222no—
485C24—222no—
486C24—222no—
487C24—222no—
488C24—222no—
489C24C2×C4×D1112yes—
490C24D4×D1112yes—
491C24D4×D1112yes—
492C24C23×D1111yescharacteristic
493C2×D4—228no—
494C2×D4—228no—
495C2×D4—2216no—
496C2×D4—2216no—
497C2×D4—228no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—112no—
521C22×C4—112no—
522C22×C4—112no—
523C22×C4—112no—
524C22×C4—112no—
525C22×C4—112no—
526C22×C4—112no—
527C22×C4—114no—
528C22×C4—1116no—
529C22×C4—228no—
530C22×C4—221no—
531C22×C4—221no—
532C22×C4—222no—
533C22×C4—222no—
534C22×C4—222no—
535C22×C4—222no—
536C22×C4—222no—
537C22×C4—222no—
538C22×C4—222no—
539C22×C4—222no—
540C22×C4—222no—
541C22×C4—222no—
542C22×C4—222no—
543C22×C4—222no—
544C22×C4—222no—
545C22×C4—222no—
546C22×C4—222no—
547C22×C4—222no—
548C22×C4—222no—
549C22×C4—222no—
550C22×C4—222no—
551C22×C4—448no—
552C22×C4—444no—
553C22×C4—448no—
554C22×C4—444no—
555C22×C4—448no—
556C22×C4—444no—
557C22×C4—448no—
558C22×C4—444no—
559C22×C4C2×C4×D1112yes—
560C22×C4C2×C4×D1112yes—
561C4⋊C4—228no—
562C4⋊C4—448no—
563C22⋊C4—28no—
564C22⋊C4—44no—
565C22⋊C4—44no—
566C22⋊C4—228no—
567C22⋊C4—448no—
568C22⋊C4—448no—
569C22⋊C4—444no—
570C22⋊C4—444no—
571C42—228no—
572C11#1434411yescharacteristic, complemented, Sylow
573C23—22no—
574C23—22no—
575C23—24no—
576C23—24no—
577C23—22no—
578C23—22no—
579C23—24no—
580C23—24no—
581C23—22no—
582C23—22no—
583C23—24no—
584C23—24no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—114no—
594C23—224no—
595C23—222no—
596C23—222no—
597C23—224no—
598C23—224no—
599C23—224no—
600C23—224no—
601C23—224no—
602C23—224no—
603C23—224no—
604C23—442no—
605C23—441no—
606C23—441no—
607C23—442no—
608C23—442no—
609C23—442no—
610C23—441no—
611C23—441no—
612C23—442no—
613C23—442no—
614C23C22⋊C4×D1114yes—
615C23C22×C4×D1111yescharacteristic
616C23C2×D4×D1111yescharacteristic
617C23C2×D4×D1111yescharacteristic
618C23#6703712yes—
619C23#6703712yes—
620C23#41×D1112yes—
621C23#41×D1112yes—
622C23#6704212yes—
623C23#6704312yes—
624D4—2232no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—114no—
650C2×C4—114no—
651C2×C4—114no—
652C2×C4—222no—
653C2×C4—222no—
654C2×C4—224no—
655C2×C4—224no—
656C2×C4—222no—
657C2×C4—222no—
658C2×C4—224no—
659C2×C4—224no—
660C2×C4—222no—
661C2×C4—222no—
662C2×C4—224no—
663C2×C4—224no—
664C2×C4—4416no—
665C2×C4—4416no—
666C2×C4—442no—
667C2×C4—442no—
668C2×C4—442no—
669C2×C4—442no—
670C2×C4—442no—
671C2×C4—442no—
672C2×C4—442no—
673C2×C4—442no—
674C2×C4—442no—
675C2×C4—442no—
676C2×C4—442no—
677C2×C4—442no—
678C2×C4—442no—
679C2×C4—442no—
680C22—24no—
681C22—24no—
682C22—24no—
683C22—44no—
684C22—44no—
685C22—44no—
686C22—44no—
687C22—44no—
688C22—44no—
689C22—228no—
690C22—224no—
691C22—444no—
692C22—444no—
693C22—444no—
694C22—442no—
695C22—442no—
696C22—444no—
697C22—444no—
698C22C2×C22⋊C4×D1111yescharacteristic
699C22D11×#11711yescharacteristic
700C22D11×#11711yescharacteristic
701C22#1062307612yes—
702C22#1062307712yes—
703C22#1062312011yescharacteristic
704C22#1062312311yescharacteristic
705C22#1062312812yes—
706C22#1062313612yes—
707C22#1062314412yes—
708C22#1062314612yes—
709C22#1062317911yescharacteristic
710C22#1062318411yescharacteristic
711C22#1062318712yes—
712C22#1062318712yes—
713C22#1062319112yes—
714C22#1062319412yes—
715C22#1062320012yes—
716C22#1062320912yes—
717C22#1062323812yes—
718C22#1062324112yes—
719C4—42no—
720C4—42no—
721C4—82no—
722C4—82no—
723C4—224no—
724C4—224no—
725C4—224no—
726C4—882no—
727C4—882no—
728C2—44no—
729C2—444no—
730C2#1307099611yescharacteristic
731C2#1307119011yescharacteristic
732C2#1307120311yescharacteristic
733C2#1307124612yes—
734C2#1307125712yes—
735C2#1307445612yes—
736C2#1307445812yes—
737C2#1307450212yes—
738C2#1307453512yes—
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC11×#1440C2
socle, cosocleC24×C11C24
prime radicalC23×C22⋊D11C22
hypercenter#1440D11
hypocenterC11#14344
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ #1440

Complements

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

NH ≅ G/Ntype
2. C2×#10622556C2semidirect
3. C2×#10622555C2semidirect
4. #13066867C2semidirect
5. #13066865C2semidirect
6. #13066860C2semidirect
9. #13066842C2semidirect
10. (C2×D11)⋊#95C2semidirect
11. C11×#1440C2semidirect
28. C2×(C22⋊D11)⋊C4C4semidirect
179. C22×Dic11C22⋊C4semidirect
209. #1440D11semidirect
572. C11#14344semidirect

Maximal subgroups

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

subgroupindex
C22×(C22⋊D11)⋊C42
C2×#106225562
C2×#106225552
#130668672
#130668652
#130668602
#130668552
#130668422
(C2×D11)⋊#952
C11×#14402
#1434411