Finite Group Databasebeta

← #14926648

Subgroups — #14926648

Order 2816.

4298 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623136C214yesmaximal, complemented
2C2×D11×#121C212yesmaximal, complemented
3#13076961C211yesmaximal, characteristic, complemented
4#13076959C212yesmaximal, complemented
5#13074720C214yesmaximal, complemented
6#13073545C218yesmaximal, complemented
7#13073086C212yesmaximal, complemented
8#13073084C212yesmaximal, complemented
9#13072252C212yesmaximal, complemented
10#13072250C212yesmaximal, complemented
11C2×C4×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
12C11×#2856C211yesmaximal, characteristic, complemented
13C22×D4×D11C2214yes—
14C22×D4×D11C2212yescomplemented
15C23×C4×D11C2211yescharacteristic
16C2×C11×#127C2211yescharacteristic, complemented
17C2×C11×#121C2214yescomplemented
18C2×C11×#121C2212yescomplemented
19C22×C42×C11C2211yescharacteristic, complemented
20C2×#66993C2212yescomplemented
21C2×#66992C2214yescomplemented
22C2×#66992C2218yescomplemented
23C2×#66991C2212yes—
24C2×#66990C2218yescomplemented
25C2×#66983C2214yescomplemented
26C2×#66983C2212yescomplemented
27C22×(C2×D11)⋊C4C2212yes—
28C22×C4×Dic11C2211yescharacteristic, complemented
29#10623136—232no—
30D11×#121—216no—
31C2×#66948C2212yes—
32C2×#66947C2218yescomplemented
33C2×C4⋊C4×D11C2212yescomplemented
34C2×#66937C2214yes—
35C2×#66936C2218yescomplemented
36C2×#66935C2218yescomplemented
37C2×C22⋊C4×D11C2214yescomplemented
38C2×#66927C2211yescharacteristic, complemented
39C11×#390C2212yescomplemented
40C11×#390C2214yescomplemented
41C11×#384C2211yescharacteristic, complemented
42#10622836C2218yescomplemented
43#10622834C2212yescomplemented
44C2×C11⋊#95C2212yescomplemented
45#10622605C2218yescomplemented
46#10622601C2212yescomplemented
47#10622589C2212yescomplemented
48#10622573C2218yescomplemented
49#10622570C2218yescomplemented
50#10622562C2218yescomplemented
51#10622552C2212yescomplemented
52#10622552C2214yescomplemented
53C4×(C2×D11)⋊C4C2212yescomplemented
54C4×(C2×D11)⋊C4C2212yescomplemented
55C4×(C2×D11)⋊C4C2214yescomplemented
56#10622548C2211yescharacteristic, complemented
57C24×D11C2314yes—
58C24×D11C2311yescharacteristic
59C22×D4×C11C2312yes—
60C22×D4×C11C2314yes—
61C22×D4×C11C2314yes—
62C23×C4×C11C2311yescharacteristic
63C23×C4×C11C2312yes—
64C22×C22⋊D11C2314yes—
65C22×C22⋊D11C2314yes—
66C22×C22⋊D11C2318yes—
67C22×C22⋊D11C2314yes—
68C23×Dic11C2311yescharacteristic
69C23×Dic11C2312yes—
70C2×D4×D11—216no—
71C2×D4×D11—232no—
72C2×D4×D11—28no—
73C2×D4×D11—44no—
74C2×D4×D11—44no—
75C22×D44C2312yes—
76C22×D44C2314yes—
77C22×D44C2314yes—
78C22×C4×D11—42no—
79C22×C4×D11—42no—
80C22×C4×D11D418yescomplemented
81C22×C4×D11C2314yes—
82C22×C4×D11C2312yes—
83C22×C4×D11C2312yes—
84C11×#127—42no—
85C11×#121—28no—
86C11×#121—216no—
87C2×C11×C4⋊C4C2312yes—
88C2×C11×C4⋊C4C2314yes—
89C2×C11×C22⋊C4C2314yes—
90C2×C11×C22⋊C4C2318yes—
91C2×C42×C11—42no—
92C2×C42×C11C2311yescharacteristic
93C2×C42×C11C2311yescharacteristic
94C2×C42×C11C2312yes—
95C2×C22⋊Dic11C2314yes—
96C2×C22⋊Dic11C2318yes—
97#66993—44no—
98#66992—216no—
99#66992—232no—
100#66991—28no—
101#66990—232no—
102#66983—28no—
103#66983—216no—
104C2×(C2×D11)⋊C4D4116yescomplemented
105C2×(C2×D11)⋊C4C2314yes—
106C2×(C2×D11)⋊C4C2314yes—
107C2×(C2×D11)⋊C4C2318yes—
108C2×(C2×D11)⋊C4C2318yes—
109C2×(C2×D11)⋊C4C2314yes—
110C2×(C2×D11)⋊C4C2314yes—
111C2×C4⋊Dic11C2314yes—
112C2×C4⋊Dic11C2312yes—
113C2×Dic11⋊C4C2318yes—
114C2×Dic11⋊C4C2314yes—
115C2×C4×Dic11—42no—
116C2×C4×Dic11C2312yes—
117C2×C4×Dic11C2312yes—
118#66948—28no—
119#66947—232no—
120C4⋊C4×D11—28no—
121#66937—216no—
122#66936—232no—
123#66935—232no—
124C22⋊C4×D11—216no—
125#66927—42no—
126C11⋊#95C2314yes—
127C11⋊#95C2314yes—
128#35001—111nomaximal, Sylow
129C24×C11C2414yes—
130C24×C11C2411yescharacteristic
131C23×D11—28no—
132C23×D11—216no—
133C23×D11—41no—
134C23×D11—41no—
135C23×D11—42no—
136C23×D11—44no—
137C23×D11—44no—
138C23×D11—48no—
139C23×D11C2×D418yes—
140C23×D11C2×D414yes—
141C23×D11C2414yes—
142C23×D11C2412yes—
143C2×D4×C11—28no—
144C2×D4×C11—216no—
145C2×D4×C11—24no—
146C2×D4×C11—28no—
147C2×D4×C11—24no—
148C2×D4×C11—24no—
149C2×D4×C11—44no—
150C2×D4×C11—44no—
151C22×C4×C11—22no—
152C22×C4×C11—22no—
153C22×C4×C11—42no—
154C22×C4×C11—42no—
155C22×C4×C11C2×D414yes—
156C22×C4×C11C2×D418yescomplemented
157C22×C4×C11C2414yes—
158C22×C4×C11C2412yes—
159C22×C4×C11C2412yes—
160C22×C4×C11C2411yescharacteristic
161C22×C4×C11C2411yescharacteristic
162C2×C22⋊D11—28no—
163C2×C22⋊D11—216no—
164C2×C22⋊D11—28no—
165C2×C22⋊D11—216no—
166C2×C22⋊D11—216no—
167C2×C22⋊D11—28no—
168C2×C22⋊D11—44no—
169C2×C22⋊D11—44no—
170C2×C22⋊D11—48no—
171C2×C22⋊D11—48no—
172C22×Dic11—42no—
173C22×Dic11—41no—
174C22×Dic11—41no—
175C22×Dic11—42no—
176C22×Dic11C2×D414yes—
177C22×Dic11C2×D418yescomplemented
178C22×Dic11C2414yes—
179C22×Dic11C2412yes—
180C22×Dic11C2414yes—
181D4×D11—432no—
182D4×D11—464no—
183C2×D44—216no—
184C2×D44—28no—
185C2×D44—24no—
186C2×D44—28no—
187C2×D44—24no—
188C2×D44—24no—
189C2×D44—44no—
190C2×D44—44no—
191C2×C4×D11—28no—
192C2×C4×D11—216no—
193C2×C4×D11—24no—
194C2×C4×D11—24no—
195C2×C4×D11—42no—
196C2×C4×D11—42no—
197C2×C4×D11—416no—
198C2×C4×D11C2×D418yes—
199C2×C4×D11C2×D418yes—
200C11×C4⋊C4—24no—
201C11×C4⋊C4—28no—
202C11×C22⋊C4—28no—
203C11×C22⋊C4—216no—
204C42×C11—22no—
205C42×C11—22no—
206C42×C11—42no—
207C22⋊Dic11—28no—
208C22⋊Dic11—216no—
209(C2×D11)⋊C4—28no—
210(C2×D11)⋊C4—216no—
211(C2×D11)⋊C4—28no—
212(C2×D11)⋊C4—216no—
213(C2×D11)⋊C4C2×D4116yescomplemented
214(C2×D11)⋊C4C2×D4116yescomplemented
215C4⋊Dic11—28no—
216C4⋊Dic11—24no—
217Dic11⋊C4—216no—
218Dic11⋊C4—28no—
219C4×Dic11—24no—
220C4×Dic11—42no—
221C2×#534—114no—
222C22×#121—112no—
223#2856—111no—
224#2856—112no—
225#2856D1111yescharacteristic, complemented
226#2656—114no—
227#2539—118no—
228#2501—112no—
229#2501—112no—
230#2433—112no—
231#2433—112no—
232C2×C4×C22⋊C4—111no—
233C23×C11—21no—
234C23×C11—21no—
235C23×C11—22no—
236C23×C11—24no—
237C23×C11—28no—
238C23×C11—24no—
239C23×C11—24no—
240C23×C11—28no—
241C23×C11C22×D412yes—
242C23×C11C22×D414yes—
243C23×C11C2511yescharacteristic
244C22×D11—22no—
245C22×D11—22no—
246C22×D11—24no—
247C22×D11—24no—
248C22×D11—28no—
249C22×D11—24no—
250C22×D11—24no—
251C22×D11—28no—
252C22×D11—44no—
253C22×D11—44no—
254C22×D11—48no—
255C22×D11—48no—
256C22×D11—416no—
257C22×D11—416no—
258C22×D11—416no—
259C22×D11—816no—
260C22×D11—816no—
261C22×D11#127116yescomplemented
262C22×D11C22×D418yes—
263C22×D11C22×D414yes—
264D4×C11—416no—
265D4×C11—48no—
266D4×C11—88no—
267C2×C4×C11—21no—
268C2×C4×C11—22no—
269C2×C4×C11—22no—
270C2×C4×C11—21no—
271C2×C4×C11—22no—
272C2×C4×C11—22no—
273C2×C4×C11—28no—
274C2×C4×C11—24no—
275C2×C4×C11—28no—
276C2×C4×C11—48no—
277C2×C4×C11C22×D414yes—
278C2×C4×C11C22×D414yes—
279C2×C4×C11C22×D412yes—
280C2×C4×C11C22×D412yes—
281C2×C4×C11H(5,𝔽2)12yes—
282C2×C4×C11H(5,𝔽2)12yes—
283C22⋊D11—416no—
284C22⋊D11—416no—
285C22⋊D11—416no—
286C22⋊D11—816no—
287C2×Dic11—24no—
288C2×Dic11—22no—
289C2×Dic11—22no—
290C2×Dic11—24no—
291C2×Dic11—24no—
292C2×Dic11—28no—
293C2×Dic11—44no—
294C2×Dic11—48no—
295C2×Dic11C22×D418yes—
296C2×Dic11C22×D414yes—
297D44—416no—
298D44—48no—
299D44—88no—
300C4×D11—216no—
301C4×D11—48no—
302C4×D11—416no—
303C23×D4—114no—
304C23×D4—112no—
305C24×C4—111no—
306#534—2232no—
307C2×#127—112no—
308C2×#127—111no—
309C2×#127C2×D1111yescharacteristic, complemented
310C2×#123—118no—
311C2×#123—118no—
312C2×#121—118no—
313C2×#121—114no—
314C2×#121—112no—
315C2×#121—112no—
316C2×#121—114no—
317C2×#121—112no—
318C2×#121—114no—
319C2×#121—2216no—
320C2×#121C2×D1112yescomplemented
321C2×#121C2×D1114yescomplemented
322C2×#120—118no—
323C2×#120—118no—
324C22×C4⋊C4—112no—
325C22×C22⋊C4—112no—
326C22×C22⋊C4—114no—
327C22×C42—111no—
328C22×C42C2×D1111yescharacteristic, complemented
329#399—118no—
330#399—118no—
331#392—118no—
332#392—118no—
333#390—112no—
334#390—112no—
335#390—118no—
336#390—112no—
337#390—114no—
338#390C2×D1112yescomplemented
339#390C2×D1114yescomplemented
340#384—112no—
341#384—111no—
342#384C2×D1111yescharacteristic, complemented
343C4×C22⋊C4—112no—
344C4×C22⋊C4—112no—
345C4×C22⋊C4—114no—
346C2×#95—112no—
347C22×C11—22no—
348C22×C11—22no—
349C22×C11—24no—
350C22×C11—24no—
351C22×C11—44no—
352C22×C11—44no—
353C22×C11—44no—
354C22×C11—48no—
355C22×C11—48no—
356C22×C11C2×#12714yes—
357C22×C11C23×D411yescharacteristic
358C22×C11C23×D412yes—
359C22×C11C2×H(5,𝔽2)11yescharacteristic
360C22×C11C2×H(5,𝔽2)11yescharacteristic
361C22×C11#58512yes—
362C2×D11—24no—
363C2×D11—24no—
364C2×D11—28no—
365C2×D11—28no—
366C2×D11—416no—
367C2×D11—44no—
368C2×D11—44no—
369C2×D11—44no—
370C2×D11—48no—
371C2×D11—48no—
372C2×D11—832no—
373C2×D11C2×#12718yes—
374C4×C11—22no—
375C4×C11—24no—
376C4×C11—24no—
377C4×C11—44no—
378C4×C11#53414yescomplemented
379Dic11—24no—
380Dic11—28no—
381Dic11—44no—
382C25—111no—
383C25—114no—
384C22×D4—114no—
385C22×D4—114no—
386C22×D4—118no—
387C22×D4—114no—
388C22×D4—114no—
389C22×D4—112no—
390C22×D4—114no—
391C22×D4—228no—
392C22×D4—2216no—
393C22×D4—2232no—
394C22×D4—444no—
395C22×D4—444no—
396C22×D4C22×D1114yes—
397C22×D4C22×D1112yes—
398C22×D4C22×D1114yes—
399C23×C4—112no—
400C23×C4—111no—
401C23×C4—112no—
402C23×C4—118no—
403C23×C4—112no—
404C23×C4—114no—
405C23×C4—442no—
406C23×C4—442no—
407C23×C4C22×D1111yescharacteristic
408C23×C4C22×D1112yes—
409#127—42no—
410#127—442no—
411#127—444no—
412#123—2232no—
413#123—2232no—
414#121—28no—
415#121—216no—
416#121—2216no—
417#121—228no—
418#121—228no—
419#121—2216no—
420#121—2232no—
421#121—228no—
422#121—2216no—
423#120—2232no—
424#120—2232no—
425C2×C4⋊C4—112no—
426C2×C4⋊C4—114no—
427C2×C4⋊C4—118no—
428C2×C4⋊C4—114no—
429C2×C4⋊C4—228no—
430C2×C4⋊C4C22×D1112yes—
431C2×C4⋊C4C22×D1114yes—
432C2×C22⋊C4—1116no—
433C2×C22⋊C4—114no—
434C2×C22⋊C4—114no—
435C2×C22⋊C4—114no—
436C2×C22⋊C4—118no—
437C2×C22⋊C4—114no—
438C2×C22⋊C4—114no—
439C2×C22⋊C4—118no—
440C2×C22⋊C4—118no—
441C2×C22⋊C4—2216no—
442C2×C22⋊C4C22×D1114yes—
443C2×C22⋊C4C22×D1118yes—
444C2×C42—42no—
445C2×C42—112no—
446C2×C42—112no—
447C2×C42—442no—
448C2×C42C22×D1111yescharacteristic
449C2×C42C22×D1111yescharacteristic
450C2×C42C22×D1112yes—
451#95—114no—
452#95—114no—
453C2×C11—24no—
454C2×C11—84no—
455C2×C11C22×#12711yescharacteristic
456C2×C11C2×#53411yescharacteristic
457C2×C11#344911yescharacteristic
458C2×C11#349612yes—
459C2×C11#349612yes—
460D11—28no—
461D11—84no—
462C24—112no—
463C24—118no—
464C24—114no—
465C24—114no—
466C24—228no—
467C24—2216no—
468C24—441no—
469C24—441no—
470C24—442no—
471C24—444no—
472C24—444no—
473C24—448no—
474C24C23×D1114yes—
475C24C23×D1111yescharacteristic
476C2×D4—28no—
477C2×D4—216no—
478C2×D4—24no—
479C2×D4—28no—
480C2×D4—24no—
481C2×D4—24no—
482C2×D4—44no—
483C2×D4—44no—
484C2×D4—2216no—
485C2×D4—228no—
486C2×D4—228no—
487C2×D4—2216no—
488C2×D4—2216no—
489C2×D4—228no—
490C2×D4—228no—
491C2×D4—2216no—
492C2×D4—224no—
493C2×D4—228no—
494C2×D4—224no—
495C2×D4—224no—
496C2×D4—444no—
497C2×D4—444no—
498C2×D4—4432no—
499C2×D4—444no—
500C2×D4—444no—
501C2×D4—448no—
502C2×D4—448no—
503C2×D4—4464no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—112no—
509C22×C4—114no—
510C22×C4—118no—
511C22×C4—114no—
512C22×C4—118no—
513C22×C4—118no—
514C22×C4—114no—
515C22×C4—228no—
516C22×C4—2216no—
517C22×C4—224no—
518C22×C4—224no—
519C22×C4—4416no—
520C22×C4—442no—
521C22×C4—442no—
522C22×C4—442no—
523C22×C4—441no—
524C22×C4—441no—
525C22×C4—442no—
526C22×C4D4×D1114yes—
527C22×C4D4×D1118yescomplemented
528C22×C4C23×D1114yes—
529C22×C4C23×D1112yes—
530C22×C4C23×D1112yes—
531C22×C4C23×D1111yescharacteristic
532C22×C4C23×D1111yescharacteristic
533C4⋊C4—24no—
534C4⋊C4—28no—
535C4⋊C4—228no—
536C4⋊C4—2216no—
537C4⋊C4—224no—
538C4⋊C4—228no—
539C22⋊C4—28no—
540C22⋊C4—216no—
541C22⋊C4—1116no—
542C22⋊C4—1116no—
543C22⋊C4—228no—
544C22⋊C4—2216no—
545C22⋊C4—228no—
546C22⋊C4—2216no—
547C22⋊C4—228no—
548C22⋊C4—2216no—
549C42—22no—
550C42—22no—
551C42—42no—
552C42—224no—
553C42—442no—
554C11#3500111yescharacteristic, complemented, Sylow
555C23—21no—
556C23—21no—
557C23—22no—
558C23—28no—
559C23—24no—
560C23—24no—
561C23—24no—
562C23—28no—
563C23—118no—
564C23—114no—
565C23—1116no—
566C23—222no—
567C23—222no—
568C23—224no—
569C23—228no—
570C23—224no—
571C23—224no—
572C23—224no—
573C23—228no—
574C23—444no—
575C23—448no—
576C23—448no—
577C23—444no—
578C23—4416no—
579C23—4416no—
580C23—4416no—
581C23—8816no—
582C23—8816no—
583C23C2×D4×D1112yes—
584C23C2×D4×D1114yes—
585C23C24×D1111yescharacteristic
586D4—416no—
587D4—48no—
588D4—88no—
589D4—4416no—
590D4—4416no—
591D4—4416no—
592D4—4416no—
593D4—448no—
594D4—888no—
595D4—8816no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—28no—
603C2×C4—28no—
604C2×C4—24no—
605C2×C4—48no—
606C2×C4—118no—
607C2×C4—114no—
608C2×C4—222no—
609C2×C4—224no—
610C2×C4—222no—
611C2×C4—224no—
612C2×C4—2216no—
613C2×C4—228no—
614C2×C4—224no—
615C2×C4—448no—
616C2×C4—4416no—
617C2×C4—444no—
618C2×C4—448no—
619C2×C4C2×D4×D1114yes—
620C2×C4C2×D4×D1112yes—
621C2×C4C2×D4×D1114yes—
622C2×C4C2×D4×D1112yes—
623C2×C4#6703712yes—
624C2×C4#6704212yes—
625C22—24no—
626C22—24no—
627C22—22no—
628C22—22no—
629C22—48no—
630C22—48no—
631C22—44no—
632C22—44no—
633C22—44no—
634C22—118no—
635C22—228no—
636C22—228no—
637C22—224no—
638C22—224no—
639C22—4416no—
640C22—448no—
641C22—448no—
642C22—444no—
643C22—444no—
644C22—444no—
645C22—8832no—
646C22D11×#12714yes—
647C22C22×D4×D1112yes—
648C22C22×D4×D1111yescharacteristic
649C22C2×#6703711yescharacteristic
650C22C2×#6704211yescharacteristic
651C22#1062345312yes—
652C4—24no—
653C4—24no—
654C4—22no—
655C4—44no—
656C4—228no—
657C4—224no—
658C4—444no—
659C4#1062313614yescomplemented
660C2—24no—
661C2—84no—
662C2—228no—
663C2—884no—
664C2C2×D11×#12711yescharacteristic
665C2C2×#1062313611yescharacteristic
666C2#1308194311yescharacteristic
667C2#1308237312yes—
668C2#1308237812yes—
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2856C2
hypercenter#2856D11
hypocenterC11#35001
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2856

Complements

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

NH ≅ G/Ntype
1. C2×#10623136C2semidirect
2. C2×D11×#121C2semidirect
3. #13076961C2semidirect
4. #13076959C2semidirect
5. #13074720C2semidirect
6. #13073545C2semidirect
7. #13073086C2semidirect
8. #13073084C2semidirect
9. #13072252C2semidirect
10. #13072250C2semidirect
11. C2×C4×(C2×D11)⋊C4C2semidirect
12. C11×#2856C2semidirect
14. C22×D4×D11C22semidirect
16. C2×C11×#127C22semidirect
17. C2×C11×#121C22semidirect
18. C2×C11×#121C22semidirect
19. C22×C42×C11C22semidirect
20. C2×#66993C22semidirect
21. C2×#66992C22semidirect
22. C2×#66992C22semidirect
24. C2×#66990C22semidirect
25. C2×#66983C22semidirect
26. C2×#66983C22semidirect
28. C22×C4×Dic11C22semidirect
32. C2×#66947C22semidirect
33. C2×C4⋊C4×D11C22semidirect
35. C2×#66936C22semidirect
36. C2×#66935C22semidirect
37. C2×C22⋊C4×D11C22semidirect
38. C2×#66927C22semidirect
39. C11×#390C22semidirect
40. C11×#390C22semidirect
41. C11×#384C22semidirect
42. #10622836C22semidirect
43. #10622834C22semidirect
44. C2×C11⋊#95C22semidirect
45. #10622605C22semidirect
46. #10622601C22semidirect
47. #10622589C22semidirect
48. #10622573C22semidirect
49. #10622570C22semidirect
50. #10622562C22semidirect
51. #10622552C22semidirect
52. #10622552C22semidirect
53. C4×(C2×D11)⋊C4C22semidirect
54. C4×(C2×D11)⋊C4C22semidirect
55. C4×(C2×D11)⋊C4C22semidirect
56. #10622548C22semidirect
80. C22×C4×D11D4semidirect
104. C2×(C2×D11)⋊C4D4semidirect
156. C22×C4×C11C2×D4semidirect
177. C22×Dic11C2×D4semidirect
213. (C2×D11)⋊C4C2×D4semidirect
214. (C2×D11)⋊C4C2×D4semidirect
225. #2856D11semidirect
261. C22×D11#127semidirect
309. C2×#127C2×D11semidirect
320. C2×#121C2×D11semidirect
321. C2×#121C2×D11semidirect
328. C22×C42C2×D11semidirect
338. #390C2×D11semidirect
339. #390C2×D11semidirect
342. #384C2×D11semidirect
378. C4×C11#534semidirect
527. C22×C4D4×D11semidirect
554. C11#35001semidirect
659. C4#10623136semidirect

Maximal subgroups

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

subgroupindex
C2×#106231362
C2×D11×#1212
#130769612
#130769592
#130747202
#130735452
#130730862
#130730842
#130722522
#130722502
C2×C4×(C2×D11)⋊C42
C11×#28562
#3500111