Finite Group Databasebeta

← #14927077

Subgroups — #14927077

Order 2816.

1736 conjugacy classes of subgroups.

The subgroup lattice has 1354 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13077000C211yesmaximal, characteristic, complemented
2#13076997C211yesmaximal, characteristic, complemented
3#13076951C211yesmaximal, characteristic, complemented
4#13076923C211yesmaximal, characteristic, complemented
5#13074707C211yesmaximal, characteristic, complemented
6#13074705C211yesmaximal, characteristic, complemented
7#13074662C211yesmaximal, characteristic, complemented
8#13074660C211yesmaximal, characteristic, complemented
9#13074020C211yesmaximal, characteristic, complemented
10#13074012C211yesmaximal, characteristic, complemented
11#13073882C211yesmaximal, characteristic, complemented
12#13073874C211yesmaximal, characteristic, complemented
13#13073164C211yesmaximal, characteristic, complemented
14#13073099C211yesmaximal, characteristic, complemented
15#13073015C211yesmaximal, characteristic, complemented
16#13073007C211yesmaximal, characteristic, complemented
17#13073005C211yesmaximal, characteristic, complemented
18#13072923C211yesmaximal, characteristic
19#13072476C211yesmaximal, characteristic, complemented
20#13072337C211yesmaximal, characteristic, complemented
21#13072118C211yesmaximal, characteristic, complemented
22#13072099C211yesmaximal, characteristic
23#13072097C211yesmaximal, characteristic
24#13072066C211yesmaximal, characteristic
25#13071287C211yesmaximal, characteristic
26#13071285C211yesmaximal, characteristic
27#13071216C211yesmaximal, characteristic, complemented
28C4×#66931C211yesmaximal, characteristic, complemented
29C2×#10622585C211yesmaximal, characteristic, complemented
30C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic
31C11×#2313C211yesmaximal, characteristic, complemented
32C22×C11×C4⋊C4C2211yescharacteristic
33C2×#66982C2211yescharacteristic
34C2×C4×C22⋊D11C2211yescharacteristic
35C22×Dic11⋊C4C2211yescharacteristic
36C22×Dic11⋊C4C2211yescharacteristic
37C22×Dic11⋊C4C2211yescharacteristic
38C22×C4×Dic11C2211yescharacteristic
39C2×#66949C2211yescharacteristic
40C2×#66942C2211yescharacteristic
41C2×#66939C2211yescharacteristic
42C2×(C22⋊D11)⋊C4C2211yescharacteristic
43C2×(C22⋊D11)⋊C4C2211yescharacteristic
44C2×#66931C2211yescharacteristic
45C2×C42×D11C2211yescharacteristic
46C2×C4×Dic22C2211yescharacteristic
47C11×#387C2211yescharacteristic
48C11×#387C2211yescharacteristic
49C11×#387C2211yescharacteristic
50C11×#387C2211yescharacteristic
51C11×#387C2211yescharacteristic
52C11×#387C2211yescharacteristic
53C11×#387C2211yescharacteristic
54C11×#387C2211yescharacteristic
55C11×#381C2211yescharacteristic
56C11×#381C2211yescharacteristic
57C11×#380C2211yescharacteristic
58C11×#380C2211yescharacteristic
59C4×C11×C22⋊C4C2211yescharacteristic
60C4×C11×C22⋊C4C2211yescharacteristic
61#10622826C2211yescharacteristic
62#10622824C2211yescharacteristic
63#10622823C2211yescharacteristic
64C4×C22⋊Dic11C2211yescharacteristic
65C2×C11⋊#95C2211yescharacteristic
66C2×C11⋊#95C2211yescharacteristic
67#10622607C2211yescharacteristic
68#10622606C2211yescharacteristic
69#10622603C2211yescharacteristic
70#10622603C2211yescharacteristic
71#10622602C2211yescharacteristic
72#10622602C2211yescharacteristic
73#10622602C2211yescharacteristic
74#10622599C2211yescharacteristic
75#10622597C2211yescharacteristic
76#10622596C2211yescharacteristic
77#10622595C2211yescharacteristic
78#10622595C2211yescharacteristic
79#10622594C2211yescharacteristic
80#10622594C2211yescharacteristic
81#10622593C2211yescharacteristic
82#10622591C2211yescharacteristic
83#10622591C2211yescharacteristic
84#10622591C2211yescharacteristic
85#10622585C2211yescharacteristic
86#10622585C2211yescharacteristic
87#10622585C2211yescharacteristic
88#10622585C2211yescharacteristic
89#10622585C2211yescharacteristic
90#10622585C2211yescharacteristic
91#10622585C2211yescharacteristic
92#10622585C2211yescharacteristic
93#10622585C2211yescharacteristic
94#10622585C2211yescharacteristic
95#10622585C2211yescharacteristic
96#10622585C2211yescharacteristic
97#10622571C2211yescharacteristic
98#10622563C2211yescharacteristic
99#10622563C2211yescharacteristic
100#10622559C2211yescharacteristic
101#10622556C2211yescharacteristic
102#10622556C2211yescharacteristic
103#10622556C2211yescharacteristic
104#10622555C2211yescharacteristic
105#10622555C2211yescharacteristic
106#10622555C2211yescharacteristic
107C22⋊C4×Dic11C2211yescharacteristic
108C22⋊C4×Dic11C2211yescharacteristic
109#10622553C2211yescharacteristic
110#10622553C2211yescharacteristic
111C4×(C2×D11)⋊C4C2211yescharacteristic
112C4×C4⋊Dic11C2211yescharacteristic
113#10622546C2211yescharacteristic
114#10622546C2211yescharacteristic
115#10622546C2211yescharacteristic
116#10622546C2211yescharacteristic
117C4×Dic11⋊C4C2211yescharacteristic
118C4×Dic11⋊C4C2211yescharacteristic
119C4×Dic11⋊C4C2211yescharacteristic
120C42×Dic11C2211yescharacteristic
121#10622541C2211yescharacteristic
122#10622541C2211yescharacteristic
123#10622289C2211yescharacteristic
124#10622288C2211yescharacteristic
125#10622288C2211yescharacteristic
126#10622288C2211yescharacteristic
127#10622288C2211yescharacteristic
128#10622287C2211yescharacteristic
129#10622281C2211yescharacteristic
130#10622281C2211yescharacteristic
131#10622281C2211yescharacteristic
132#10622280C2211yescharacteristic
133#10622280C2211yescharacteristic
134#10622280C2211yescharacteristic
135#10622279C2211yescharacteristic
136#10622279C2211yescharacteristic
137#10622277C2211yescharacteristic
138#10622277C2211yescharacteristic
139C11⋊#401C2211yescharacteristic
140C11⋊#401C2211yescharacteristic
141#10622273C2211yescharacteristic
142#10622273C2211yescharacteristic
143#10622273C2211yescharacteristic
144#10622273C2211yescharacteristic
145#10622273C2211yescharacteristic
146#10622272C2211yescharacteristic
147#10622271C2211yescharacteristic
148#10622271C2211yescharacteristic
149#10622271C2211yescharacteristic
150#10622271C2211yescharacteristic
151#10622271C2211yescharacteristic
152#10622270C2211yescharacteristic
153#10622270C2211yescharacteristic
154#10622270C2211yescharacteristic
155#10622270C2211yescharacteristic
156#10622270C2211yescharacteristic
157#10622268C2211yescharacteristic
158#10622268C2211yescharacteristic
159#10622268C2211yescharacteristic
160#10622267C2211yescharacteristic
161#10622267C2211yescharacteristic
162#10622267C2211yescharacteristic
163#10622266C2211yescharacteristic
164#10622266C2211yescharacteristic
165#10622266C2211yescharacteristic
166#10622265C2211yescharacteristic
167#10622265C2211yescharacteristic
168#10622265C2211yescharacteristic
169#10622265C2211yescharacteristic
170#10622265C2211yescharacteristic
171#10622265C2211yescharacteristic
172#10622264C2211yescharacteristic
173#10622264C2211yescharacteristic
174#10622263C2211yescharacteristic
175#10622263C2211yescharacteristic
176#10622263C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622260C2211yescharacteristic
180#10622260C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C23×C4×C11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×Dic22C2311yescharacteristic
199C2×C11×C4⋊C4—24no—
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C42×C11C2311yescharacteristic
213C2×C42×C11C2311yescharacteristic
214C2×C42×C11C2311yescharacteristic
215C2×C42×C11C2311yescharacteristic
216C2×C22⋊Dic11C2311yescharacteristic
217C2×C22⋊Dic11C2311yescharacteristic
218C2×C22⋊Dic11C2311yescharacteristic
219#66982—24no—
220C4×C22⋊D11—24no—
221C2×(C2×D11)⋊C4C2311yescharacteristic
222C2×(C2×D11)⋊C4C2311yescharacteristic
223C2×(C2×D11)⋊C4C2311yescharacteristic
224C2×(C2×D11)⋊C4C2311yescharacteristic
225C2×(C2×D11)⋊C4C2311yescharacteristic
226C2×(C2×D11)⋊C4C2311yescharacteristic
227C2×(C2×D11)⋊C4C2311yescharacteristic
228C2×(C2×D11)⋊C4C2311yescharacteristic
229C2×(C2×D11)⋊C4C2311yescharacteristic
230C2×(C2×D11)⋊C4C2311yescharacteristic
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×C4⋊Dic11C2311yescharacteristic
233C2×C4⋊Dic11C2311yescharacteristic
234C2×C4⋊Dic11C2311yescharacteristic
235C2×C4⋊Dic11C2311yescharacteristic
236C2×C4⋊Dic11C2311yescharacteristic
237C2×C4⋊Dic11C2311yescharacteristic
238C2×C4⋊Dic11C2311yescharacteristic
239C2×Dic11⋊C4—24no—
240C2×Dic11⋊C4—24no—
241C2×Dic11⋊C4—42no—
242C2×Dic11⋊C4C2311yescharacteristic
243C2×Dic11⋊C4C2311yescharacteristic
244C2×Dic11⋊C4C2311yescharacteristic
245C2×Dic11⋊C4C2311yescharacteristic
246C2×Dic11⋊C4C2311yescharacteristic
247C2×Dic11⋊C4C2311yescharacteristic
248C2×Dic11⋊C4C2311yescharacteristic
249C2×Dic11⋊C4C2311yescharacteristic
250C2×Dic11⋊C4C2311yescharacteristic
251C2×Dic11⋊C4C2311yescharacteristic
252C2×Dic11⋊C4C2311yescharacteristic
253C2×Dic11⋊C4C2311yescharacteristic
254C2×Dic11⋊C4C2311yescharacteristic
255C2×Dic11⋊C4C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×Dic11⋊C4C2311yescharacteristic
258C2×Dic11⋊C4C2311yescharacteristic
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×C4×Dic11—42no—
272C2×C4×Dic11C2311yescharacteristic
273C2×C4×Dic11C2311yescharacteristic
274C2×C4×Dic11C2311yescharacteristic
275C2×C4×Dic11C2311yescharacteristic
276C2×C4×Dic11C2311yescharacteristic
277C2×C4×Dic11C2311yescharacteristic
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285#66949—42no—
286#66942—42no—
287#66939—24no—
288(C22⋊D11)⋊C4—24no—
289(C22⋊D11)⋊C4—24no—
290#66931—24no—
291C42×D11—42no—
292C4×Dic22—42no—
293C11×#95C2311yescharacteristic
294C11×#95C2311yescharacteristic
295C11×#95C2311yescharacteristic
296C11×#95C2311yescharacteristic
297C11×#95C2311yescharacteristic
298C11×#95C2311yescharacteristic
299C11×#95C2311yescharacteristic
300C11×#95C2311yescharacteristic
301C11×#95C2311yescharacteristic
302C11×#95C2311yescharacteristic
303C11×#95C2311yescharacteristic
304C11×#95C2311yescharacteristic
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
309C11⋊#95C2311yescharacteristic
310C11⋊#95C2311yescharacteristic
311C11⋊#95C2311yescharacteristic
312C11⋊#95C2311yescharacteristic
313C11⋊#95C2311yescharacteristic
314C11⋊#95C2311yescharacteristic
315C11⋊#95C2311yescharacteristic
316C11⋊#95C2311yescharacteristic
317C11⋊#95C2311yescharacteristic
318C11⋊#95C2311yescharacteristic
319C11⋊#95C2311yescharacteristic
320C11⋊#95C2311yescharacteristic
321C11⋊#95C2311yescharacteristic
322C11⋊#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357#35026—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C23×D11C2411yescharacteristic
360C22×C4×C11—22no—
361C22×C4×C11—22no—
362C22×C4×C11—22no—
363C22×C4×C11—22no—
364C22×C4×C11—41no—
365C22×C4×C11—41no—
366C22×C4×C11—41no—
367C22×C4×C11—41no—
368C22×C4×C11#4114yes—
369C22×C4×C11C2411yescharacteristic
370C22×C4×C11C2411yescharacteristic
371C22×C4×C11C2411yescharacteristic
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C2×C22⋊D11—22no—
384C2×C22⋊D11—22no—
385C2×C22⋊D11#4114yes—
386C22×Dic11—22no—
387C22×Dic11—22no—
388C22×Dic11—22no—
389C22×Dic11—22no—
390C22×Dic11—22no—
391C22×Dic11—22no—
392C22×Dic11—22no—
393C22×Dic11—22no—
394C22×Dic11—41no—
395C22×Dic11—41no—
396C22×Dic11—41no—
397C22×Dic11#4114yes—
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C2×C4×D11—22no—
414C2×C4×D11—22no—
415C2×C4×D11—22no—
416C2×C4×D11—22no—
417C2×C4×D11—22no—
418C2×C4×D11—22no—
419C2×C4×D11—41no—
420C2×C4×D11—41no—
421C2×C4×D11—41no—
422C2×Dic22—22no—
423C2×Dic22—22no—
424C2×Dic22—22no—
425C11×C4⋊C4—22no—
426C11×C4⋊C4—22no—
427C11×C4⋊C4—22no—
428C11×C4⋊C4—22no—
429C11×C4⋊C4—41no—
430C11×C4⋊C4—41no—
431C11×C4⋊C4—41no—
432C11×C4⋊C4—41no—
433C11×C22⋊C4—22no—
434C11×C22⋊C4—22no—
435C11×C22⋊C4—22no—
436C11×C22⋊C4—22no—
437C42×C11—41no—
438C42×C11—41no—
439C42×C11—41no—
440C42×C11—41no—
441C22⋊Dic11—22no—
442C22⋊Dic11—22no—
443C22⋊Dic11—22no—
444(C2×D11)⋊C4—22no—
445(C2×D11)⋊C4—22no—
446(C2×D11)⋊C4—22no—
447(C2×D11)⋊C4—22no—
448(C2×D11)⋊C4—22no—
449(C2×D11)⋊C4—22no—
450(C2×D11)⋊C4—22no—
451(C2×D11)⋊C4—41no—
452(C2×D11)⋊C4—41no—
453(C2×D11)⋊C4—41no—
454(C2×D11)⋊C4—41no—
455C4⋊Dic11—22no—
456C4⋊Dic11—22no—
457C4⋊Dic11—22no—
458C4⋊Dic11—22no—
459C4⋊Dic11—41no—
460C4⋊Dic11—41no—
461C4⋊Dic11—41no—
462Dic11⋊C4—22no—
463Dic11⋊C4—22no—
464Dic11⋊C4—22no—
465Dic11⋊C4—22no—
466Dic11⋊C4—22no—
467Dic11⋊C4—22no—
468Dic11⋊C4—22no—
469Dic11⋊C4—22no—
470Dic11⋊C4—22no—
471Dic11⋊C4—22no—
472Dic11⋊C4—22no—
473Dic11⋊C4—22no—
474Dic11⋊C4—22no—
475Dic11⋊C4—22no—
476Dic11⋊C4—22no—
477Dic11⋊C4—22no—
478Dic11⋊C4—22no—
479Dic11⋊C4—22no—
480Dic11⋊C4—22no—
481Dic11⋊C4—22no—
482Dic11⋊C4—41no—
483Dic11⋊C4—41no—
484Dic11⋊C4—41no—
485Dic11⋊C4—41no—
486Dic11⋊C4—41no—
487Dic11⋊C4—41no—
488Dic11⋊C4—41no—
489Dic11⋊C4—41no—
490Dic11⋊C4—41no—
491C4×Dic11—22no—
492C4×Dic11—22no—
493C4×Dic11—22no—
494C4×Dic11—22no—
495C4×Dic11—22no—
496C4×Dic11—22no—
497C4×Dic11—22no—
498C4×Dic11—22no—
499C4×Dic11—41no—
500C4×Dic11—41no—
501C4×Dic11—41no—
502C4×Dic11—41no—
503C4×Dic11—41no—
504#2864—111no—
505#2863—111no—
506#2855—111no—
507#2851—111no—
508#2655—111no—
509#2655—111no—
510#2652—111no—
511#2652—111no—
512#2585—111no—
513#2585—111no—
514#2573—111no—
515#2573—111no—
516#2509—111no—
517#2503—111no—
518#2494—111no—
519#2493—111no—
520#2493—111no—
521#2486—111no—
522#2453—111no—
523#2442—111no—
524#2421—111no—
525#2419—111no—
526#2419—111no—
527#2417—111no—
528#2322—111no—
529#2322—111no—
530#2313—111no—
531#2313D1111yescharacteristic, complemented
532C4×C22⋊Q8—111no—
533C2×#389—111no—
534C42×D4—111no—
535C23×C11—21no—
536C23×C11—21no—
537C23×C11—21no—
538C23×C11—21no—
539C23×C11C2×#4112yes—
540C23×C11C2×#4112yes—
541C23×C11C2×#4112yes—
542C23×C11C2511yescharacteristic
543C22×D11—21no—
544C22×D11—21no—
545C22×D11—21no—
546C22×D11—21no—
547C22×D11—21no—
548C22×D11—21no—
549C22×D11C2×#4112yes—
550C2×C4×C11—21no—
551C2×C4×C11—21no—
552C2×C4×C11—21no—
553C2×C4×C11—21no—
554C2×C4×C11—21no—
555C2×C4×C11—21no—
556C2×C4×C11—21no—
557C2×C4×C11—21no—
558C2×C4×C11—21no—
559C2×C4×C11—21no—
560C2×C4×C11—21no—
561C2×C4×C11—21no—
562C2×C4×C11—21no—
563C2×C4×C11—21no—
564C2×C4×C11—21no—
565C2×C4×C11—21no—
566C2×C4×C11—21no—
567C2×C4×C11—21no—
568C2×C4×C11—21no—
569C2×C4×C11—21no—
570C2×C4×C11—21no—
571C2×C4×C11—21no—
572C2×C4×C11—21no—
573C2×C4×C11—21no—
574C2×C4×C11—21no—
575C2×C4×C11—21no—
576C2×C4×C11—21no—
577C2×C4×C11—21no—
578C2×C4×C11—21no—
579C2×C4×C11—21no—
580C2×C4×C11—21no—
581C2×C4×C11—21no—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—44no—
591C2×C4×C11—44no—
592C2×C4×C11—82no—
593C2×C4×C11C2×#4112yes—
594C2×C4×C11C2×#4112yes—
595C22⋊D11—28no—
596C2×Dic11—21no—
597C2×Dic11—21no—
598C2×Dic11—21no—
599C2×Dic11—21no—
600C2×Dic11—21no—
601C2×Dic11—21no—
602C2×Dic11—28no—
603C2×Dic11—21no—
604C2×Dic11—21no—
605C2×Dic11—21no—
606C2×Dic11—21no—
607C2×Dic11—21no—
608C2×Dic11—21no—
609C2×Dic11—21no—
610C2×Dic11—21no—
611C2×Dic11—21no—
612C2×Dic11—21no—
613C2×Dic11—21no—
614C2×Dic11—21no—
615C2×Dic11—21no—
616C2×Dic11—21no—
617C2×Dic11—21no—
618C2×Dic11—21no—
619C2×Dic11—21no—
620C2×Dic11—21no—
621C2×Dic11—21no—
622C2×Dic11—21no—
623C2×Dic11—21no—
624C2×Dic11—21no—
625C2×Dic11—21no—
626C2×Dic11—21no—
627C2×Dic11—21no—
628C2×Dic11—21no—
629C2×Dic11—21no—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
636C2×Dic11—44no—
637C2×Dic11—44no—
638C2×Dic11—82no—
639C2×Dic11C2×#4112yes—
640C2×Dic11C2×#4112yes—
641C2×Dic11C2×#4112yes—
642C2×Dic11H(5,𝔽2)12yes—
643C2×Dic112−1+412yes—
644C2×Dic112−1+412yes—
645C4×D11—44no—
646C4×D11—44no—
647C4×D11—44no—
648Dic22—44no—
649C2×#125—111no—
650C2×#123—111no—
651C2×#123—111no—
652C2×C22⋊Q8—111no—
653C2×C22⋊Q8—111no—
654C2×C4×Q8—111no—
655C2×C4×D4—111no—
656C2×C4×D4—111no—
657C2×C4×D4—111no—
658C22×C4⋊C4—111no—
659C22×C4⋊C4—111no—
660C22×C4⋊C4—111no—
661C22×C4⋊C4C2×D1111yescharacteristic
662C22×C42—111no—
663C22×C42—111no—
664#401—111no—
665#401—111no—
666#400—111no—
667#400—111no—
668#400—111no—
669#400—111no—
670#400—111no—
671#400—111no—
672#400—111no—
673#400—111no—
674#400—111no—
675#400—111no—
676#400—111no—
677#400—111no—
678#400—111no—
679#400—111no—
680#398—111no—
681#398—111no—
682#398—111no—
683#398—111no—
684#398—111no—
685#398—111no—
686#398—111no—
687#398—111no—
688#397—111no—
689#397—111no—
690#397—111no—
691#397—111no—
692#397—111no—
693#397—111no—
694#396—111no—
695#396—111no—
696#391—111no—
697#391—111no—
698#391—111no—
699#391—111no—
700#389—111no—
701#389—111no—
702#389—111no—
703#389—111no—
704#389—111no—
705#389—111no—
706#389—111no—
707#389—111no—
708#389—111no—
709#389—111no—
710#389—111no—
711#389—111no—
712#389—111no—
713#389—111no—
714#389—111no—
715#389—111no—
716#389—111no—
717#389—111no—
718#388—111no—
719#388—111no—
720#388—111no—
721#388—111no—
722#387—111no—
723#387—111no—
724#387—111no—
725#387—111no—
726#387—111no—
727#387—111no—
728#387—111no—
729#387—111no—
730#387—111no—
731#387—111no—
732#387—111no—
733#387—111no—
734#387—111no—
735#387—111no—
736#387—111no—
737#387—111no—
738#387—111no—
739#387—111no—
740#387—111no—
741#387—111no—
742#387—111no—
743#387—111no—
744#387—111no—
745#387—111no—
746#387C2×D1111yescharacteristic
747#387C2×D1111yescharacteristic
748#387C2×D1111yescharacteristic
749#387C2×D1111yescharacteristic
750#387C2×D1111yescharacteristic
751#387C2×D1111yescharacteristic
752#387C2×D1111yescharacteristic
753#387C2×D1111yescharacteristic
754#386—111no—
755#386—111no—
756#385—111no—
757#385—111no—
758#385—111no—
759#385—111no—
760#385—111no—
761#385—111no—
762#385—111no—
763#385—111no—
764#385—111no—
765#385—111no—
766#383—111no—
767#383—111no—
768#382—111no—
769#382—111no—
770#382—111no—
771#381—111no—
772#381—111no—
773#381—111no—
774#381—111no—
775#381—111no—
776#381—111no—
777#381C2×D1111yescharacteristic
778#381C2×D1111yescharacteristic
779#380—111no—
780#380—111no—
781#380—111no—
782#380—111no—
783#380—111no—
784#380—111no—
785#380C2×D1111yescharacteristic
786#380C2×D1111yescharacteristic
787C4×C4⋊C4—111no—
788C4×C4⋊C4—111no—
789C4×C4⋊C4—111no—
790C4×C4⋊C4—111no—
791C4×C4⋊C4—111no—
792C4×C4⋊C4—111no—
793C4×C22⋊C4—111no—
794C4×C22⋊C4—111no—
795C4×C22⋊C4—111no—
796C4×C22⋊C4—111no—
797C4×C22⋊C4—111no—
798C4×C22⋊C4—111no—
799C4×C22⋊C4C2×D1111yescharacteristic
800C4×C22⋊C4C2×D1111yescharacteristic
801C2×#95—111no—
802C2×#95—111no—
803C43—111no—
804C22×C11—22no—
805C22×C11—22no—
806C22×C11—22no—
807C22×C11—22no—
808C22×C11—22no—
809C22×C11—22no—
810C22×C11#52914yes—
811C22×C11C22×#4111yescharacteristic
812C22×C11C22×#4111yescharacteristic
813C22×C11C22×#4111yescharacteristic
814C22×C11C2×H(5,𝔽2)11yescharacteristic
815C22×C11C2×2−1+411yescharacteristic
816C22×C11C2×2−1+411yescharacteristic
817C22×C11#58511yescharacteristic
818C2×D11—22no—
819C2×D11—22no—
820C2×D11—22no—
821C2×D11—41no—
822C2×D11—41no—
823C2×D11—41no—
824C2×D11—41no—
825C4×C11—22no—
826C4×C11—22no—
827C4×C11—41no—
828C4×C11—41no—
829C4×C11—41no—
830C4×C11—41no—
831C4×C11—41no—
832C4×C11—41no—
833C4×C11—41no—
834C4×C11—41no—
835C4×C11—41no—
836C4×C11—41no—
837C4×C11—41no—
838C4×C11—41no—
839Dic11—22no—
840Dic11—22no—
841Dic11—22no—
842Dic11—41no—
843Dic11—41no—
844Dic11—41no—
845Dic11—41no—
846Dic11—41no—
847Dic11—41no—
848Dic11—41no—
849Dic11—41no—
850Dic11—41no—
851Dic11—41no—
852Dic11—41no—
853Dic11#53914yes—
854C22×Q8—111no—
855C22×D4—111no—
856C23×C4—111no—
857C23×C4—111no—
858C23×C4—111no—
859C23×C4—111no—
860C23×C4—111no—
861C23×C4—111no—
862C23×C4—111no—
863C23×C4C22×D1111yescharacteristic
864C23×C4C22×D1111yescharacteristic
865C23×C4C22×D1111yescharacteristic
866#125—442no—
867#123—224no—
868#123—224no—
869C22⋊Q8—224no—
870C22⋊Q8—442no—
871C4×Q8—442no—
872C4×D4—224no—
873C4×D4—224no—
874C4×D4—224no—
875C2×C4⋊C4—24no—
876C2×C4⋊C4—111no—
877C2×C4⋊C4—111no—
878C2×C4⋊C4—111no—
879C2×C4⋊C4—111no—
880C2×C4⋊C4—111no—
881C2×C4⋊C4—111no—
882C2×C4⋊C4—111no—
883C2×C4⋊C4—111no—
884C2×C4⋊C4—111no—
885C2×C4⋊C4—111no—
886C2×C4⋊C4—111no—
887C2×C4⋊C4—111no—
888C2×C4⋊C4—111no—
889C2×C4⋊C4—111no—
890C2×C4⋊C4—111no—
891C2×C4⋊C4—111no—
892C2×C4⋊C4—111no—
893C2×C4⋊C4—111no—
894C2×C4⋊C4—111no—
895C2×C4⋊C4—111no—
896C2×C4⋊C4—111no—
897C2×C4⋊C4—111no—
898C2×C4⋊C4—111no—
899C2×C4⋊C4—111no—
900C2×C4⋊C4—111no—
901C2×C4⋊C4—111no—
902C2×C4⋊C4—111no—
903C2×C4⋊C4—111no—
904C2×C4⋊C4—111no—
905C2×C4⋊C4—111no—
906C2×C4⋊C4—111no—
907C2×C4⋊C4—111no—
908C2×C4⋊C4—111no—
909C2×C4⋊C4—111no—
910C2×C4⋊C4—111no—
911C2×C4⋊C4—111no—
912C2×C4⋊C4—224no—
913C2×C4⋊C4—224no—
914C2×C4⋊C4—442no—
915C2×C4⋊C4C22×D1111yescharacteristic
916C2×C4⋊C4C22×D1111yescharacteristic
917C2×C4⋊C4C22×D1111yescharacteristic
918C2×C4⋊C4C22×D1111yescharacteristic
919C2×C4⋊C4C22×D1111yescharacteristic
920C2×C4⋊C4C22×D1111yescharacteristic
921C2×C4⋊C4C22×D1111yescharacteristic
922C2×C4⋊C4C22×D1111yescharacteristic
923C2×C22⋊C4—111no—
924C2×C22⋊C4—111no—
925C2×C22⋊C4—111no—
926C2×C22⋊C4—111no—
927C2×C22⋊C4—111no—
928C2×C22⋊C4—111no—
929C2×C22⋊C4—111no—
930C2×C22⋊C4—111no—
931C2×C22⋊C4—111no—
932C2×C22⋊C4—111no—
933C2×C22⋊C4—111no—
934C2×C22⋊C4—111no—
935C2×C22⋊C4—111no—
936C2×C22⋊C4—111no—
937C2×C22⋊C4C22×D1111yescharacteristic
938C2×C22⋊C4C22×D1111yescharacteristic
939C2×C22⋊C4C22×D1111yescharacteristic
940C2×C22⋊C4C22×D1111yescharacteristic
941C2×C42—111no—
942C2×C42—111no—
943C2×C42—111no—
944C2×C42—111no—
945C2×C42—111no—
946C2×C42—111no—
947C2×C42—111no—
948C2×C42—111no—
949C2×C42—111no—
950C2×C42—111no—
951C2×C42—111no—
952C2×C42—111no—
953C2×C42—111no—
954C2×C42—442no—
955C2×C42—442no—
956C2×C42C22×D1111yescharacteristic
957C2×C42C22×D1111yescharacteristic
958C2×C42C22×D1111yescharacteristic
959C2×C42C22×D1111yescharacteristic
960#95—111no—
961#95—111no—
962#95—111no—
963#95—111no—
964#95—111no—
965#95—111no—
966#95—111no—
967#95—111no—
968#95—111no—
969#95—111no—
970#95—111no—
971#95—111no—
972#95—111no—
973#95—111no—
974#95—111no—
975#95—111no—
976#95—111no—
977#95—111no—
978#95—111no—
979#95—111no—
980#95—111no—
981#95—111no—
982#95—111no—
983#95—111no—
984#95—111no—
985#95—111no—
986#95—111no—
987#95—111no—
988#95—111no—
989#95—111no—
990#95—111no—
991#95—111no—
992#95—111no—
993#95—111no—
994#95—111no—
995#95—111no—
996#95—111no—
997#95—111no—
998#95—111no—
999#95—111no—
1000#95—111no—
1001#95—111no—
1002#95—111no—
1003#95—111no—
1004#95—111no—
1005#95—111no—
1006#95—111no—
1007#95—111no—
1008#95C22×D1111yescharacteristic
1009#95C22×D1111yescharacteristic
1010#95C22×D1111yescharacteristic
1011#95C22×D1111yescharacteristic
1012#95C22×D1111yescharacteristic
1013#95C22×D1111yescharacteristic
1014#95C22×D1111yescharacteristic
1015#95C22×D1111yescharacteristic
1016#95C22×D1111yescharacteristic
1017#95C22×D1111yescharacteristic
1018#95C22×D1111yescharacteristic
1019#95C22×D1111yescharacteristic
1020#95C22×D1111yescharacteristic
1021#95C22×D1111yescharacteristic
1022#95C22×D1111yescharacteristic
1023#95C22×D1111yescharacteristic
1024C2×C11—24no—
1025C2×C11C2×#52911yescharacteristic
1026C2×C11C2×#53911yescharacteristic
1027C2×C11#346111yescharacteristic
1028C2×C11#350511yescharacteristic
1029C2×C11#350911yescharacteristic
1030C2×C11#351511yescharacteristic
1031C2×C11#352011yescharacteristic
1032D11—42no—
1033C24—111no—
1034C24C23×D1111yescharacteristic
1035C2×Q8—222no—
1036C2×Q8—222no—
1037C2×Q8—222no—
1038C2×D4—114no—
1039C2×D4—222no—
1040C2×D4—222no—
1041C22×C4—22no—
1042C22×C4—22no—
1043C22×C4—22no—
1044C22×C4—22no—
1045C22×C4—41no—
1046C22×C4—41no—
1047C22×C4—41no—
1048C22×C4—41no—
1049C22×C4—111no—
1050C22×C4—114no—
1051C22×C4—111no—
1052C22×C4—111no—
1053C22×C4—111no—
1054C22×C4—111no—
1055C22×C4—111no—
1056C22×C4—111no—
1057C22×C4—111no—
1058C22×C4—111no—
1059C22×C4—111no—
1060C22×C4—111no—
1061C22×C4—111no—
1062C22×C4—111no—
1063C22×C4—111no—
1064C22×C4—111no—
1065C22×C4—222no—
1066C22×C4—222no—
1067C22×C4—222no—
1068C22×C4—222no—
1069C22×C4—222no—
1070C22×C4—222no—
1071C22×C4—222no—
1072C22×C4—222no—
1073C22×C4—222no—
1074C22×C4—222no—
1075C22×C4—222no—
1076C22×C4—222no—
1077C22×C4—222no—
1078C22×C4—222no—
1079C22×C4—441no—
1080C22×C4—441no—
1081C22×C4—441no—
1082C22×C4—441no—
1083C22×C4—441no—
1084C22×C4—441no—
1085C22×C4#433914yes—
1086C22×C4C23×D1111yescharacteristic
1087C22×C4C23×D1111yescharacteristic
1088C22×C4C23×D1111yescharacteristic
1089C22×C4C23×D1111yescharacteristic
1090C22×C4C23×D1111yescharacteristic
1091C22×C4C23×D1111yescharacteristic
1092C22×C4C23×D1111yescharacteristic
1093C22×C4C23×D1111yescharacteristic
1094C22×C4C23×D1111yescharacteristic
1095C22×C4C23×D1111yescharacteristic
1096C22×C4C23×D1111yescharacteristic
1097C22×C4C23×D1111yescharacteristic
1098C22×C4C23×D1111yescharacteristic
1099C22×C4C23×D1111yescharacteristic
1100C4⋊C4—22no—
1101C4⋊C4—22no—
1102C4⋊C4—22no—
1103C4⋊C4—22no—
1104C4⋊C4—41no—
1105C4⋊C4—41no—
1106C4⋊C4—41no—
1107C4⋊C4—41no—
1108C4⋊C4—222no—
1109C4⋊C4—222no—
1110C4⋊C4—222no—
1111C4⋊C4—222no—
1112C4⋊C4—222no—
1113C4⋊C4—222no—
1114C4⋊C4—222no—
1115C4⋊C4—222no—
1116C4⋊C4—222no—
1117C4⋊C4—222no—
1118C4⋊C4—222no—
1119C4⋊C4—222no—
1120C4⋊C4—222no—
1121C4⋊C4—222no—
1122C4⋊C4—222no—
1123C4⋊C4—222no—
1124C4⋊C4—222no—
1125C4⋊C4—222no—
1126C4⋊C4—222no—
1127C4⋊C4—222no—
1128C4⋊C4—222no—
1129C4⋊C4—222no—
1130C4⋊C4—222no—
1131C4⋊C4—222no—
1132C4⋊C4—441no—
1133C4⋊C4—441no—
1134C4⋊C4—441no—
1135C4⋊C4—441no—
1136C4⋊C4—441no—
1137C4⋊C4—441no—
1138C4⋊C4—441no—
1139C4⋊C4—441no—
1140C4⋊C4—441no—
1141C4⋊C4—441no—
1142C4⋊C4—441no—
1143C4⋊C4—441no—
1144C22⋊C4—22no—
1145C22⋊C4—22no—
1146C22⋊C4—22no—
1147C22⋊C4—22no—
1148C22⋊C4—222no—
1149C22⋊C4—222no—
1150C22⋊C4—222no—
1151C22⋊C4—222no—
1152C22⋊C4—222no—
1153C22⋊C4—222no—
1154C22⋊C4—222no—
1155C22⋊C4—222no—
1156C22⋊C4—222no—
1157C22⋊C4—222no—
1158C22⋊C4—441no—
1159C22⋊C4—441no—
1160C22⋊C4—441no—
1161C22⋊C4—441no—
1162C42—41no—
1163C42—41no—
1164C42—41no—
1165C42—41no—
1166C42—222no—
1167C42—222no—
1168C42—222no—
1169C42—222no—
1170C42—222no—
1171C42—222no—
1172C42—222no—
1173C42—222no—
1174C42—441no—
1175C42—441no—
1176C42—441no—
1177C42—441no—
1178C42—441no—
1179C11#3502611yescharacteristic, complemented, Sylow
1180C23—21no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—112no—
1185C23—221no—
1186C23—221no—
1187C23—221no—
1188C23—221no—
1189C23—221no—
1190C23—221no—
1191C23C2×#433912yes—
1192C23#41×D1112yes—
1193C23#41×D1112yes—
1194C23C24×D1111yescharacteristic
1195Q8—444no—
1196D4—228no—
1197C2×C4—21no—
1198C2×C4—21no—
1199C2×C4—21no—
1200C2×C4—21no—
1201C2×C4—21no—
1202C2×C4—21no—
1203C2×C4—21no—
1204C2×C4—21no—
1205C2×C4—21no—
1206C2×C4—21no—
1207C2×C4—21no—
1208C2×C4—21no—
1209C2×C4—21no—
1210C2×C4—21no—
1211C2×C4—21no—
1212C2×C4—21no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—44no—
1238C2×C4—44no—
1239C2×C4—82no—
1240C2×C4—112no—
1241C2×C4—112no—
1242C2×C4—112no—
1243C2×C4—112no—
1244C2×C4—112no—
1245C2×C4—112no—
1246C2×C4—228no—
1247C2×C4—221no—
1248C2×C4—221no—
1249C2×C4—221no—
1250C2×C4—221no—
1251C2×C4—221no—
1252C2×C4—221no—
1253C2×C4—221no—
1254C2×C4—221no—
1255C2×C4—221no—
1256C2×C4—221no—
1257C2×C4—221no—
1258C2×C4—221no—
1259C2×C4—221no—
1260C2×C4—221no—
1261C2×C4—221no—
1262C2×C4—221no—
1263C2×C4—221no—
1264C2×C4—221no—
1265C2×C4—221no—
1266C2×C4—221no—
1267C2×C4—221no—
1268C2×C4—221no—
1269C2×C4—221no—
1270C2×C4—221no—
1271C2×C4—221no—
1272C2×C4—221no—
1273C2×C4—221no—
1274C2×C4—221no—
1275C2×C4—221no—
1276C2×C4—221no—
1277C2×C4—221no—
1278C2×C4—221no—
1279C2×C4—221no—
1280C2×C4—221no—
1281C2×C4—221no—
1282C2×C4—221no—
1283C2×C4—221no—
1284C2×C4—221no—
1285C2×C4—221no—
1286C2×C4—444no—
1287C2×C4—444no—
1288C2×C4—444no—
1289C2×C4—444no—
1290C2×C4—444no—
1291C2×C4—882no—
1292C2×C4C2×#433912yes—
1293C2×C4C2×#433912yes—
1294C22—22no—
1295C22—22no—
1296C22—22no—
1297C22—22no—
1298C22—22no—
1299C22—22no—
1300C22—222no—
1301C22—222no—
1302C22—222no—
1303C22—441no—
1304C22—441no—
1305C22—441no—
1306C22—441no—
1307C22#1062305914yes—
1308C22C22×#433911yescharacteristic
1309C22C2×#41×D1111yescharacteristic
1310C22C2×#41×D1111yescharacteristic
1311C22D11×H(5,𝔽2)11yescharacteristic
1312C22#1062345511yescharacteristic
1313C22D11×2−1+411yescharacteristic
1314C22D11×2−1+411yescharacteristic
1315C4—22no—
1316C4—22no—
1317C4—41no—
1318C4—41no—
1319C4—41no—
1320C4—41no—
1321C4—41no—
1322C4—41no—
1323C4—41no—
1324C4—41no—
1325C4—41no—
1326C4—41no—
1327C4—41no—
1328C4—41no—
1329C4—114no—
1330C4—222no—
1331C4—222no—
1332C4—222no—
1333C4—441no—
1334C4—441no—
1335C4—441no—
1336C4—441no—
1337C4—441no—
1338C4—441no—
1339C4—441no—
1340C4—441no—
1341C4—441no—
1342C4—441no—
1343C4—441no—
1344C2—24no—
1345C2—442no—
1346C2C2×#1062305911yescharacteristic
1347C2D11×#53911yescharacteristic
1348C2#1308204611yescharacteristic
1349C2#1308244611yescharacteristic
1350C2#1308249711yescharacteristic
1351C2#1308258611yescharacteristic
1352C2#1308265711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2313C2
prime radicalC22×C22⋊D11C23
hypercenter#2313D11
hypocenterC11#35026
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2313

Complements

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

NH ≅ G/Ntype
1. #13077000C2semidirect
2. #13076997C2semidirect
3. #13076951C2semidirect
4. #13076923C2semidirect
5. #13074707C2semidirect
6. #13074705C2semidirect
7. #13074662C2semidirect
8. #13074660C2semidirect
9. #13074020C2semidirect
10. #13074012C2semidirect
11. #13073882C2semidirect
12. #13073874C2semidirect
13. #13073164C2semidirect
14. #13073099C2semidirect
15. #13073015C2semidirect
16. #13073007C2semidirect
17. #13073005C2semidirect
19. #13072476C2semidirect
20. #13072337C2semidirect
21. #13072118C2semidirect
27. #13071216C2semidirect
28. C4×#66931C2semidirect
29. C2×#10622585C2semidirect
31. C11×#2313C2semidirect
531. #2313D11semidirect
1179. C11#35026semidirect

Maximal subgroups

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

subgroupindex
#130770002
#130769972
#130769512
#130769232
#130747072
#130747052
#130746622
#130746602
#130740202
#130740122
#130738822
#130738742
#130731642
#130730992
#130730152
#130730072
#130730052
#130729232
#130724762
#130723372
#130721182
#130720992
#130720972
#130720662
#130712872
#130712852
#130712162
C4×#669312
C2×#106225852
C4×(C22⋊D11)⋊C42
C11×#23132
#3502611