Finite Group Databasebeta

← #14968044

Subgroups — #14968044

Order 2816.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1494 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13077009C211yesmaximal, characteristic, complemented
2#13076982C211yesmaximal, characteristic, complemented
3#13076550C211yesmaximal, characteristic, complemented
4#13076523C211yesmaximal, characteristic, complemented
5#13076512C211yesmaximal, characteristic, complemented
6#13076448C211yesmaximal, characteristic, complemented
7#13075802C211yesmaximal, characteristic, complemented
8#13075703C211yesmaximal, characteristic, complemented
9#13075656C211yesmaximal, characteristic, complemented
10#13075556C211yesmaximal, characteristic, complemented
11#13075554C211yesmaximal, characteristic, complemented
12#13075464C211yesmaximal, characteristic, complemented
13#13075373C211yesmaximal, characteristic, complemented
14#13075296C211yesmaximal, characteristic, complemented
15#13075135C211yesmaximal, characteristic, complemented
16#13075012C211yesmaximal, characteristic, complemented
17#13075012C211yesmaximal, characteristic, complemented
18#13074934C211yesmaximal, characteristic
19#13074621C211yesmaximal, characteristic, complemented
20#13074606C211yesmaximal, characteristic, complemented
21#13074119C211yesmaximal, characteristic, complemented
22#13073727C211yesmaximal, characteristic, complemented
23#13073502C211yesmaximal, characteristic, complemented
24#13072844C211yesmaximal, characteristic, complemented
25#13072799C211yesmaximal, characteristic, complemented
26#13072329C211yesmaximal, characteristic, complemented
27#13072002C211yesmaximal, characteristic, complemented
28#13071410C211yesmaximal, characteristic, complemented
29#13071211C211yesmaximal, characteristic, complemented
30#13071081C211yesmaximal, characteristic, complemented
31C11×#2602C211yesmaximal, characteristic, complemented
32C2×C11×#123C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×#66992C2211yescharacteristic
35C2×#66990C2211yescharacteristic
36C2×#66990C2211yescharacteristic
37C2×#66988C2211yescharacteristic
38C22×(C2×D11)⋊C4C2211yescharacteristic
39C2×#66979C2211yescharacteristic
40C2×#66979C2211yescharacteristic, complemented
41C2×#66951C2211yescharacteristic
42C2×#66951C2211yescharacteristic
43C2×#66942C2211yescharacteristic, complemented
44C2×#66939C2211yescharacteristic
45C2×#66932C2211yescharacteristic, complemented
46C2×#66923C2211yescharacteristic, complemented
47C11×#397C2211yescharacteristic
48C11×#394C2211yescharacteristic
49C11×#394C2211yescharacteristic
50C11×#392C2211yescharacteristic
51C11×#390C2211yescharacteristic, complemented
52C11×#389C2211yescharacteristic, complemented
53C11×#388C2211yescharacteristic, complemented
54C11×#388C2211yescharacteristic, complemented
55C11×#388C2211yescharacteristic, complemented
56C11×#387C2211yescharacteristic, complemented
57C11×#386C2211yescharacteristic, complemented
58C11×#385C2211yescharacteristic, complemented
59C4×C11×C22⋊C4C2211yescharacteristic
60#10622836C2211yescharacteristic
61#10622835C2211yescharacteristic, complemented
62#10622835C2211yescharacteristic, complemented
63#10622834C2211yescharacteristic
64#10622834C2211yescharacteristic
65#10622834C2211yescharacteristic
66#10622833C2211yescharacteristic
67#10622833C2211yescharacteristic
68#10622826C2211yescharacteristic
69#10622826C2211yescharacteristic
70#10622825C2211yescharacteristic
71C4×C22⋊Dic11C2211yescharacteristic
72C4×C22⋊Dic11C2211yescharacteristic, complemented
73#10622607C2211yescharacteristic
74#10622607C2211yescharacteristic
75#10622607C2211yescharacteristic
76#10622607C2211yescharacteristic
77#10622607C2211yescharacteristic
78#10622607C2211yescharacteristic
79#10622607C2211yescharacteristic
80#10622603C2211yescharacteristic
81#10622603C2211yescharacteristic
82#10622603C2211yescharacteristic
83#10622598C2211yescharacteristic, complemented
84#10622598C2211yescharacteristic, complemented
85#10622598C2211yescharacteristic, complemented
86#10622596C2211yescharacteristic, complemented
87#10622595C2211yescharacteristic, complemented
88#10622594C2211yescharacteristic, complemented
89#10622594C2211yescharacteristic, complemented
90#10622591C2211yescharacteristic, complemented
91#10622591C2211yescharacteristic, complemented
92C4⋊C4×Dic11C2211yescharacteristic, complemented
93#10622585C2211yescharacteristic, complemented
94#10622574C2211yescharacteristic
95#10622574C2211yescharacteristic
96#10622574C2211yescharacteristic
97#10622574C2211yescharacteristic
98#10622574C2211yescharacteristic
99#10622574C2211yescharacteristic
100#10622574C2211yescharacteristic
101#10622574C2211yescharacteristic
102#10622574C2211yescharacteristic
103#10622572C2211yescharacteristic
104#10622572C2211yescharacteristic
105#10622572C2211yescharacteristic
106#10622570C2211yescharacteristic
107#10622570C2211yescharacteristic
108#10622570C2211yescharacteristic
109#10622570C2211yescharacteristic
110#10622570C2211yescharacteristic
111#10622568C2211yescharacteristic
112#10622568C2211yescharacteristic
113#10622568C2211yescharacteristic
114#10622568C2211yescharacteristic
115#10622565C2211yescharacteristic, complemented
116#10622565C2211yescharacteristic, complemented
117#10622564C2211yescharacteristic
118#10622564C2211yescharacteristic
119#10622564C2211yescharacteristic
120#10622564C2211yescharacteristic
121#10622564C2211yescharacteristic, complemented
122#10622564C2211yescharacteristic, complemented
123#10622564C2211yescharacteristic, complemented
124#10622564C2211yescharacteristic, complemented
125#10622564C2211yescharacteristic, complemented
126#10622563C2211yescharacteristic, complemented
127#10622563C2211yescharacteristic, complemented
128#10622562C2211yescharacteristic
129#10622562C2211yescharacteristic
130#10622562C2211yescharacteristic, complemented
131#10622562C2211yescharacteristic, complemented
132#10622561C2211yescharacteristic
133#10622561C2211yescharacteristic
134#10622561C2211yescharacteristic, complemented
135#10622561C2211yescharacteristic, complemented
136#10622559C2211yescharacteristic
137#10622559C2211yescharacteristic, complemented
138#10622558C2211yescharacteristic, complemented
139#10622557C2211yescharacteristic, complemented
140#10622556C2211yescharacteristic
141#10622555C2211yescharacteristic
142#10622555C2211yescharacteristic
143C22⋊C4×Dic11C2211yescharacteristic, complemented
144#10622553C2211yescharacteristic
145#10622553C2211yescharacteristic
146#10622553C2211yescharacteristic
147#10622553C2211yescharacteristic
148#10622553C2211yescharacteristic
149#10622553C2211yescharacteristic
150#10622548C2211yescharacteristic, complemented
151C4×C4⋊Dic11C2211yescharacteristic, complemented
152C42×Dic11C2211yescharacteristic, complemented
153#10622541C2211yescharacteristic, complemented
154#10622541C2211yescharacteristic, complemented
155#10622290C2211yescharacteristic
156#10622288C2211yescharacteristic
157#10622288C2211yescharacteristic
158#10622287C2211yescharacteristic
159#10622283C2211yescharacteristic
160#10622283C2211yescharacteristic
161#10622283C2211yescharacteristic
162#10622283C2211yescharacteristic
163#10622283C2211yescharacteristic
164#10622283C2211yescharacteristic
165#10622282C2211yescharacteristic
166#10622282C2211yescharacteristic
167#10622282C2211yescharacteristic
168#10622282C2211yescharacteristic
169#10622282C2211yescharacteristic
170#10622282C2211yescharacteristic
171C11⋊#401C2211yescharacteristic, complemented
172#10622274C2211yescharacteristic, complemented
173#10622273C2211yescharacteristic, complemented
174#10622272C2211yescharacteristic, complemented
175#10622272C2211yescharacteristic, complemented
176#10622270C2211yescharacteristic, complemented
177#10622268C2211yescharacteristic, complemented
178#10622267C2211yescharacteristic, complemented
179#10622267C2211yescharacteristic, complemented
180#10622267C2211yescharacteristic, complemented
181#10622266C2211yescharacteristic, complemented
182#10622265C2211yescharacteristic, complemented
183#10622260C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C11×#123—24no—
200C4×D4×C11—24no—
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×C22⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240#66992—42no—
241#66990—42no—
242#66990—42no—
243#66988—42no—
244C2×(C2×D11)⋊C4—24no—
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269#66979—42no—
270#66979—42no—
271C2×C4⋊Dic11C2311yescharacteristic
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
285C2×C4⋊Dic11C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313#66951—42no—
314#66951—42no—
315#66942—42no—
316#66939—42no—
317#66932—42no—
318#66923—42no—
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#36990—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C24×C11C2411yescharacteristic
360C24×C11C2411yescharacteristic
361C23×D11—22no—
362C23×D11—41no—
363C23×D11—41no—
364C23×D11—41no—
365C23×D11—41no—
366C23×D11—41no—
367C23×D11—41no—
368C23×D11C2411yescharacteristic
369C23×D11C2411yescharacteristic
370C2×D4×C11—22no—
371C2×D4×C11—22no—
372C2×D4×C11—22no—
373C2×D4×C11—41no—
374C2×D4×C11—41no—
375C2×D4×C11—41no—
376C2×D4×C11—41no—
377C2×D4×C11—41no—
378C2×D4×C11—41no—
379C22×C4×C11—22no—
380C22×C4×C11—41no—
381C22×C4×C11—41no—
382C22×C4×C11—41no—
383C22×C4×C11—41no—
384C22×C4×C11#4114yes—
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C2×C22⋊D11—22no—
398C2×C22⋊D11—41no—
399C2×C22⋊D11—41no—
400C2×C22⋊D11—41no—
401C2×C22⋊D11—41no—
402C2×C22⋊D11—41no—
403C2×C22⋊D11—41no—
404C2×C22⋊D11—41no—
405C2×C22⋊D11—41no—
406C2×C22⋊D11—41no—
407C2×C22⋊D11—41no—
408C2×C22⋊D11—41no—
409C22×Dic11—22no—
410C22×Dic11—41no—
411C22×Dic11—41no—
412C22×Dic11—41no—
413C22×Dic11—41no—
414C22×Dic11—41no—
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C11×C4⋊C4—22no—
430C11×C4⋊C4—22no—
431C11×C4⋊C4—22no—
432C11×C4⋊C4—22no—
433C11×C4⋊C4—41no—
434C11×C4⋊C4—41no—
435C11×C22⋊C4—22no—
436C11×C22⋊C4—22no—
437C11×C22⋊C4—22no—
438C11×C22⋊C4—22no—
439C11×C22⋊C4—22no—
440C11×C22⋊C4—22no—
441C11×C22⋊C4—41no—
442C11×C22⋊C4—41no—
443C11×C22⋊C4—41no—
444C11×C22⋊C4—41no—
445C11×C22⋊C4—41no—
446C11×C22⋊C4—41no—
447C11×C22⋊C4—41no—
448C42×C11—22no—
449C42×C11—41no—
450C42×C11—41no—
451C22⋊Dic11—22no—
452C22⋊Dic11—22no—
453C22⋊Dic11—41no—
454C22⋊Dic11—41no—
455C22⋊Dic11—41no—
456C22⋊Dic11—41no—
457C22⋊Dic11—41no—
458C22⋊Dic11—41no—
459C22⋊Dic11—41no—
460C22⋊Dic11—41no—
461C22⋊Dic11—41no—
462C22⋊Dic11—41no—
463C22⋊Dic11—41no—
464C22⋊Dic11—41no—
465C22⋊Dic11—41no—
466C22⋊Dic11—41no—
467C22⋊Dic11—41no—
468(C2×D11)⋊C4—22no—
469(C2×D11)⋊C4—22no—
470(C2×D11)⋊C4—22no—
471(C2×D11)⋊C4—22no—
472(C2×D11)⋊C4—22no—
473(C2×D11)⋊C4—22no—
474(C2×D11)⋊C4—22no—
475(C2×D11)⋊C4—41no—
476(C2×D11)⋊C4—41no—
477(C2×D11)⋊C4—41no—
478(C2×D11)⋊C4—41no—
479(C2×D11)⋊C4—41no—
480(C2×D11)⋊C4—41no—
481(C2×D11)⋊C4—41no—
482(C2×D11)⋊C4—41no—
483(C2×D11)⋊C4—41no—
484(C2×D11)⋊C4—41no—
485(C2×D11)⋊C4—41no—
486(C2×D11)⋊C4—41no—
487(C2×D11)⋊C4—41no—
488(C2×D11)⋊C4—41no—
489(C2×D11)⋊C4—41no—
490(C2×D11)⋊C4—41no—
491(C2×D11)⋊C4—41no—
492C4⋊Dic11—22no—
493C4⋊Dic11—22no—
494C4⋊Dic11—22no—
495C4⋊Dic11—41no—
496C4⋊Dic11—41no—
497C4⋊Dic11—41no—
498C4⋊Dic11—41no—
499C4⋊Dic11—41no—
500C4⋊Dic11—41no—
501C4⋊Dic11—41no—
502C4⋊Dic11—41no—
503C4⋊Dic11—41no—
504C4⋊Dic11—41no—
505C4⋊Dic11—41no—
506C4⋊Dic11—41no—
507Dic11⋊C4—22no—
508Dic11⋊C4—22no—
509Dic11⋊C4—22no—
510Dic11⋊C4—22no—
511Dic11⋊C4—41no—
512Dic11⋊C4—41no—
513Dic11⋊C4—41no—
514Dic11⋊C4—41no—
515Dic11⋊C4—41no—
516Dic11⋊C4—41no—
517Dic11⋊C4—41no—
518Dic11⋊C4—41no—
519Dic11⋊C4—41no—
520Dic11⋊C4—41no—
521Dic11⋊C4—41no—
522Dic11⋊C4—41no—
523C4×Dic11—22no—
524C4×Dic11—22no—
525C4×Dic11—41no—
526C4×Dic11—41no—
527C4×Dic11—41no—
528C4×Dic11—41no—
529C4×Dic11—41no—
530C4×Dic11—41no—
531C4×Dic11—41no—
532C4×Dic11—41no—
533C4×Dic11—41no—
534#2866—111no—
535#2860—111no—
536#2803—111no—
537#2801—111no—
538#2800—111no—
539#2795—111no—
540#2746—111no—
541#2739—111no—
542#2735—111no—
543#2725—111no—
544#2725—111no—
545#2718—111no—
546#2711—111no—
547#2705—111no—
548#2694—111no—
549#2685—111no—
550#2685—111no—
551#2678—111no—
552#2649—111no—
553#2648—111no—
554#2602D1111yescharacteristic, complemented
555#2594—111no—
556#2558—111no—
557#2534—111no—
558#2479—111no—
559#2476—111no—
560#2441—111no—
561#2411—111no—
562#2335—111no—
563#2312—111no—
564#2293—111no—
565C23×C11—21no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11—21no—
569C23×C11—21no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11—21no—
578C23×C11—21no—
579C23×C11—21no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11C2×#4112yes—
586C23×C11C2511yescharacteristic
587C22×D11—21no—
588C22×D11—21no—
589C22×D11—21no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—21no—
596C22×D11—21no—
597C22×D11—21no—
598C22×D11—21no—
599C22×D11—21no—
600C22×D11—21no—
601C22×D11—44no—
602C22×D11—82no—
603C22×D11—82no—
604C22×D11—82no—
605C22×D11—82no—
606C22×D11—82no—
607C22×D11—82no—
608D4×C11—44no—
609D4×C11—82no—
610D4×C11—82no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—44no—
645C2×C4×C11—44no—
646C2×C4×C11C2×#4112yes—
647C2×C4×C11C2×#4112yes—
648C2×C4×C11H(5,𝔽2)12yes—
649C22⋊D11—82no—
650C22⋊D11—82no—
651C22⋊D11—82no—
652C22⋊D11—82no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—82no—
695C2×Dic11—82no—
696C2×Dic11H(5,𝔽2)12yes—
697C2×#126—111no—
698C2×#126—111no—
699C2×#126—111no—
700C2×#125—111no—
701C2×#125—111no—
702C2×#123—111no—
703C2×#123—111no—
704C2×#123C2×D1111yescharacteristic
705C2×#121—111no—
706C2×#120—111no—
707C2×#120—111no—
708C2×C4×D4C2×D1111yescharacteristic
709C2×#117—111no—
710C2×#117—111no—
711C22×C22⋊C4—111no—
712#401—111no—
713#400—111no—
714#400—111no—
715#400—111no—
716#400—111no—
717#399—111no—
718#399—111no—
719#399—111no—
720#399—111no—
721#399—111no—
722#398—111no—
723#398—111no—
724#398—111no—
725#397—111no—
726#397—111no—
727#397—111no—
728#397—111no—
729#397—111no—
730#397C2×D1111yescharacteristic
731#396—111no—
732#396—111no—
733#396—111no—
734#396—111no—
735#396—111no—
736#396—111no—
737#396—111no—
738#396—111no—
739#396—111no—
740#396—111no—
741#396—111no—
742#394—111no—
743#394—111no—
744#394—111no—
745#394—111no—
746#394—111no—
747#394—111no—
748#394—111no—
749#394—111no—
750#394—111no—
751#394—111no—
752#394—111no—
753#394—111no—
754#394—111no—
755#394—111no—
756#394C2×D1111yescharacteristic
757#394C2×D1111yescharacteristic
758#392—111no—
759#392C2×D1111yescharacteristic
760#390—111no—
761#390—111no—
762#390—111no—
763#390—111no—
764#390—111no—
765#390—111no—
766#390—111no—
767#390—111no—
768#390C2×D1111yescharacteristic, complemented
769#389—111no—
770#389—111no—
771#389—111no—
772#389—111no—
773#389—111no—
774#389—111no—
775#389—111no—
776#389—111no—
777#389—111no—
778#389—111no—
779#389C2×D1111yescharacteristic, complemented
780#388—111no—
781#388—111no—
782#388—111no—
783#388—111no—
784#388—111no—
785#388—111no—
786#388—111no—
787#388—111no—
788#388—111no—
789#388—111no—
790#388—111no—
791#388—111no—
792#388—111no—
793#388—111no—
794#388—111no—
795#388—111no—
796#388—111no—
797#388—111no—
798#388—111no—
799#388—111no—
800#388—111no—
801#388—111no—
802#388—111no—
803#388—111no—
804#388—111no—
805#388—111no—
806#388—111no—
807#388—111no—
808#388—111no—
809#388—111no—
810#388—111no—
811#388—111no—
812#388C2×D1111yescharacteristic, complemented
813#388C2×D1111yescharacteristic, complemented
814#388C2×D1111yescharacteristic, complemented
815#387—111no—
816#387—111no—
817#387—111no—
818#387—111no—
819#387—111no—
820#387—111no—
821#387—111no—
822#387—111no—
823#387—111no—
824#387—111no—
825#387C2×D1111yescharacteristic, complemented
826#386—111no—
827#386—111no—
828#386—111no—
829#386—111no—
830#386C2×D1111yescharacteristic, complemented
831#385—111no—
832#385—111no—
833#385—111no—
834#385—111no—
835#385C2×D1111yescharacteristic, complemented
836#384—111no—
837#381—111no—
838#380—111no—
839#380—111no—
840#380—111no—
841#379—111no—
842#379—111no—
843#379—111no—
844#379—111no—
845C4×C4⋊C4—111no—
846C4×C4⋊C4—111no—
847C4×C22⋊C4—111no—
848C4×C22⋊C4—111no—
849C4×C22⋊C4—111no—
850C4×C22⋊C4C2×D1111yescharacteristic
851C43—111no—
852C22×C11—22no—
853C22×C11—22no—
854C22×C11—22no—
855C22×C11—41no—
856C22×C11—41no—
857C22×C11—41no—
858C22×C11—41no—
859C22×C11—41no—
860C22×C11—41no—
861C22×C11—41no—
862C22×C11—41no—
863C22×C11—41no—
864C22×C11—41no—
865C22×C11—41no—
866C22×C11—41no—
867C22×C11—41no—
868C22×C11—41no—
869C22×C11—41no—
870C22×C11—41no—
871C22×C11—41no—
872C22×C11—41no—
873C22×C11C22×#4111yescharacteristic
874C22×C11C2×H(5,𝔽2)11yescharacteristic
875C22×C11C2×H(5,𝔽2)11yescharacteristic
876C22×C11#58511yescharacteristic
877C22×C11#58511yescharacteristic
878C22×C11#58511yescharacteristic
879C22×C11#58511yescharacteristic
880C2×D11—41no—
881C2×D11—41no—
882C2×D11—41no—
883C2×D11—41no—
884C2×D11—41no—
885C2×D11—41no—
886C2×D11—41no—
887C2×D11—41no—
888C2×D11—41no—
889C2×D11—41no—
890C2×D11—41no—
891C2×D11—41no—
892C2×D11—41no—
893C2×D11—41no—
894C2×D11—88no—
895C4×C11—22no—
896C4×C11—22no—
897C4×C11—22no—
898C4×C11—41no—
899C4×C11—41no—
900C4×C11—41no—
901C4×C11—41no—
902C4×C11—41no—
903C4×C11—41no—
904C4×C11—41no—
905C4×C11—41no—
906C4×C11—41no—
907Dic11—22no—
908Dic11—41no—
909Dic11—41no—
910Dic11—41no—
911Dic11—41no—
912Dic11—41no—
913Dic11—41no—
914Dic11—41no—
915Dic11—41no—
916Dic11—41no—
917Dic11—41no—
918Dic11—41no—
919Dic11—41no—
920Dic11—41no—
921C25—111no—
922C22×D4—111no—
923C22×D4—111no—
924C22×D4—111no—
925C22×D4—111no—
926C22×D4C22×D1111yescharacteristic
927C22×D4C22×D1111yescharacteristic
928C22×D4C22×D1111yescharacteristic
929C23×C4—111no—
930C23×C4—111no—
931C23×C4C22×D1111yescharacteristic
932C23×C4C22×D1111yescharacteristic
933#126—442no—
934#126—442no—
935#126—442no—
936#125—442no—
937#125—442no—
938#123—24no—
939#123—442no—
940#123—442no—
941#121—442no—
942#120—442no—
943#120—442no—
944C4×D4—24no—
945#117—442no—
946#117—442no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4—111no—
950C2×C4⋊C4—111no—
951C2×C4⋊C4—111no—
952C2×C4⋊C4—111no—
953C2×C4⋊C4—111no—
954C2×C4⋊C4—111no—
955C2×C4⋊C4—111no—
956C2×C4⋊C4—111no—
957C2×C4⋊C4—111no—
958C2×C4⋊C4—111no—
959C2×C4⋊C4—111no—
960C2×C4⋊C4—111no—
961C2×C4⋊C4—111no—
962C2×C4⋊C4—111no—
963C2×C4⋊C4—111no—
964C2×C4⋊C4—111no—
965C2×C4⋊C4—111no—
966C2×C4⋊C4—111no—
967C2×C4⋊C4—111no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—111no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4—111no—
973C2×C4⋊C4—111no—
974C2×C4⋊C4—111no—
975C2×C4⋊C4—111no—
976C2×C4⋊C4—111no—
977C2×C4⋊C4—111no—
978C2×C4⋊C4C22×D1111yescharacteristic
979C2×C4⋊C4C22×D1111yescharacteristic
980C2×C4⋊C4C22×D1111yescharacteristic
981C2×C4⋊C4C22×D1111yescharacteristic
982C2×C4⋊C4C22×D1111yescharacteristic
983C2×C4⋊C4C22×D1111yescharacteristic
984C2×C22⋊C4—111no—
985C2×C22⋊C4—111no—
986C2×C22⋊C4—111no—
987C2×C22⋊C4—111no—
988C2×C22⋊C4—111no—
989C2×C22⋊C4—111no—
990C2×C22⋊C4—111no—
991C2×C22⋊C4—111no—
992C2×C22⋊C4—111no—
993C2×C22⋊C4—111no—
994C2×C22⋊C4—111no—
995C2×C22⋊C4—111no—
996C2×C22⋊C4—111no—
997C2×C22⋊C4—111no—
998C2×C22⋊C4—111no—
999C2×C22⋊C4—111no—
1000C2×C22⋊C4—111no—
1001C2×C22⋊C4—111no—
1002C2×C22⋊C4—111no—
1003C2×C22⋊C4—111no—
1004C2×C22⋊C4—111no—
1005C2×C22⋊C4—111no—
1006C2×C22⋊C4—111no—
1007C2×C22⋊C4—111no—
1008C2×C22⋊C4—111no—
1009C2×C22⋊C4—111no—
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—111no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4—111no—
1017C2×C22⋊C4—111no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—111no—
1020C2×C22⋊C4—111no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4—111no—
1023C2×C22⋊C4—111no—
1024C2×C22⋊C4—111no—
1025C2×C22⋊C4—224no—
1026C2×C22⋊C4C22×D1111yescharacteristic
1027C2×C22⋊C4C22×D1111yescharacteristic
1028C2×C22⋊C4C22×D1111yescharacteristic
1029C2×C22⋊C4C22×D1111yescharacteristic
1030C2×C22⋊C4C22×D1111yescharacteristic
1031C2×C22⋊C4C22×D1111yescharacteristic
1032C2×C22⋊C4C22×D1111yescharacteristic
1033C2×C22⋊C4C22×D1111yescharacteristic
1034C2×C22⋊C4C22×D1111yescharacteristic
1035C2×C22⋊C4C22×D1111yescharacteristic
1036C2×C22⋊C4C22×D1111yescharacteristic
1037C2×C22⋊C4C22×D1111yescharacteristic
1038C2×C22⋊C4C22×D1111yescharacteristic
1039C2×C42—111no—
1040C2×C42—111no—
1041C2×C42—111no—
1042C2×C42—111no—
1043C2×C42—111no—
1044C2×C42—111no—
1045C2×C42—111no—
1046C2×C42—111no—
1047C2×C42—111no—
1048C2×C42—111no—
1049C2×C42—111no—
1050C2×C42C22×D1111yescharacteristic
1051C2×C42C22×D1111yescharacteristic
1052C2×C42C22×D1111yescharacteristic
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95—111no—
1059#95—111no—
1060#95—111no—
1061#95—111no—
1062#95—111no—
1063#95—111no—
1064#95—111no—
1065#95—111no—
1066#95—111no—
1067#95—111no—
1068#95—111no—
1069#95—111no—
1070#95—111no—
1071#95—111no—
1072#95—111no—
1073#95—111no—
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95—111no—
1082#95—111no—
1083#95C22×D1111yescharacteristic
1084#95C22×D1111yescharacteristic
1085#95C22×D1111yescharacteristic
1086#95C22×D1111yescharacteristic
1087#95C22×D1111yescharacteristic
1088#95C22×D1111yescharacteristic
1089#95C22×D1111yescharacteristic
1090#95C22×D1111yescharacteristic
1091C2×C11—42no—
1092C2×C11—81no—
1093C2×C11—81no—
1094C2×C11#345511yescharacteristic
1095C2×C11#349411yescharacteristic
1096C2×C11#350511yescharacteristic
1097C2×C11#354611yescharacteristic
1098C2×C11#356011yescharacteristic
1099C2×C11#356211yescharacteristic
1100C2×C11#356611yescharacteristic
1101D11—81no—
1102D11—81no—
1103C24—111no—
1104C24—111no—
1105C24—222no—
1106C24—441no—
1107C24—441no—
1108C24—441no—
1109C24—441no—
1110C24—441no—
1111C24—441no—
1112C24C23×D1111yescharacteristic
1113C24C23×D1111yescharacteristic
1114C24C23×D1111yescharacteristic
1115C2×D4—22no—
1116C2×D4—22no—
1117C2×D4—22no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—222no—
1125C2×D4—441no—
1126C2×D4—441no—
1127C2×D4—441no—
1128C2×D4—441no—
1129C2×D4—441no—
1130C2×D4—441no—
1131C2×D4—441no—
1132C2×D4—441no—
1133C2×D4—441no—
1134C2×D4—441no—
1135C2×D4—441no—
1136C22×C4—22no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—111no—
1142C22×C4—111no—
1143C22×C4—111no—
1144C22×C4—111no—
1145C22×C4—111no—
1146C22×C4—111no—
1147C22×C4—111no—
1148C22×C4—111no—
1149C22×C4—111no—
1150C22×C4—111no—
1151C22×C4—111no—
1152C22×C4—111no—
1153C22×C4—111no—
1154C22×C4—111no—
1155C22×C4—222no—
1156C22×C4—441no—
1157C22×C4—441no—
1158C22×C4—441no—
1159C22×C4—441no—
1160C22×C4—441no—
1161C22×C4#434114yes—
1162C22×C4C23×D1111yescharacteristic
1163C22×C4C23×D1111yescharacteristic
1164C22×C4C23×D1111yescharacteristic
1165C22×C4C23×D1111yescharacteristic
1166C22×C4C23×D1111yescharacteristic
1167C22×C4C23×D1111yescharacteristic
1168C22×C4C23×D1111yescharacteristic
1169C22×C4C23×D1111yescharacteristic
1170C22×C4C23×D1111yescharacteristic
1171C22×C4C23×D1111yescharacteristic
1172C22×C4C23×D1111yescharacteristic
1173C22×C4C23×D1111yescharacteristic
1174C4⋊C4—22no—
1175C4⋊C4—22no—
1176C4⋊C4—22no—
1177C4⋊C4—22no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—222no—
1181C4⋊C4—222no—
1182C4⋊C4—222no—
1183C4⋊C4—222no—
1184C4⋊C4—222no—
1185C4⋊C4—222no—
1186C4⋊C4—222no—
1187C4⋊C4—441no—
1188C4⋊C4—441no—
1189C4⋊C4—441no—
1190C4⋊C4—441no—
1191C4⋊C4—441no—
1192C4⋊C4—441no—
1193C4⋊C4—441no—
1194C4⋊C4—441no—
1195C4⋊C4—441no—
1196C4⋊C4—441no—
1197C4⋊C4—441no—
1198C4⋊C4—441no—
1199C4⋊C4—441no—
1200C4⋊C4—441no—
1201C4⋊C4—441no—
1202C4⋊C4—441no—
1203C4⋊C4—441no—
1204C4⋊C4—441no—
1205C4⋊C4—441no—
1206C4⋊C4—441no—
1207C4⋊C4—441no—
1208C4⋊C4—441no—
1209C4⋊C4—441no—
1210C4⋊C4—441no—
1211C22⋊C4—22no—
1212C22⋊C4—22no—
1213C22⋊C4—22no—
1214C22⋊C4—22no—
1215C22⋊C4—22no—
1216C22⋊C4—22no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4—222no—
1225C22⋊C4—222no—
1226C22⋊C4—222no—
1227C22⋊C4—222no—
1228C22⋊C4—222no—
1229C22⋊C4—222no—
1230C22⋊C4—222no—
1231C22⋊C4—222no—
1232C22⋊C4—222no—
1233C22⋊C4—441no—
1234C22⋊C4—441no—
1235C22⋊C4—441no—
1236C22⋊C4—441no—
1237C22⋊C4—441no—
1238C22⋊C4—441no—
1239C22⋊C4—441no—
1240C22⋊C4—441no—
1241C22⋊C4—441no—
1242C22⋊C4—441no—
1243C22⋊C4—441no—
1244C22⋊C4—441no—
1245C22⋊C4—441no—
1246C22⋊C4—441no—
1247C22⋊C4—441no—
1248C22⋊C4—441no—
1249C22⋊C4—441no—
1250C22⋊C4—441no—
1251C22⋊C4—441no—
1252C22⋊C4—441no—
1253C22⋊C4—441no—
1254C22⋊C4—441no—
1255C22⋊C4—441no—
1256C22⋊C4—441no—
1257C22⋊C4—441no—
1258C22⋊C4—441no—
1259C22⋊C4—441no—
1260C22⋊C4—441no—
1261C22⋊C4—441no—
1262C22⋊C4—441no—
1263C22⋊C4—441no—
1264C22⋊C4—441no—
1265C42—22no—
1266C42—41no—
1267C42—41no—
1268C42—222no—
1269C42—222no—
1270C42—441no—
1271C42—441no—
1272C42—441no—
1273C42—441no—
1274C42—441no—
1275C42—441no—
1276C42—441no—
1277C42—441no—
1278C42—441no—
1279C11#3699011yescharacteristic, complemented, Sylow
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—221no—
1301C23—221no—
1302C23—221no—
1303C23—221no—
1304C23—221no—
1305C23—221no—
1306C23—221no—
1307C23—221no—
1308C23—221no—
1309C23—221no—
1310C23—221no—
1311C23—221no—
1312C23—221no—
1313C23—221no—
1314C23—444no—
1315C23—882no—
1316C23—882no—
1317C23—882no—
1318C23—882no—
1319C23—882no—
1320C23—882no—
1321C23C2×#434112yes—
1322C23C24×D1111yescharacteristic
1323D4—44no—
1324D4—82no—
1325D4—82no—
1326D4—882no—
1327D4—882no—
1328D4—882no—
1329D4—882no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—44no—
1364C2×C4—44no—
1365C2×C4—112no—
1366C2×C4—221no—
1367C2×C4—221no—
1368C2×C4—221no—
1369C2×C4—221no—
1370C2×C4—221no—
1371C2×C4—221no—
1372C2×C4—221no—
1373C2×C4—221no—
1374C2×C4—221no—
1375C2×C4—221no—
1376C2×C4—221no—
1377C2×C4—221no—
1378C2×C4—221no—
1379C2×C4—221no—
1380C2×C4—221no—
1381C2×C4—221no—
1382C2×C4—221no—
1383C2×C4—221no—
1384C2×C4—221no—
1385C2×C4—221no—
1386C2×C4—221no—
1387C2×C4—221no—
1388C2×C4—221no—
1389C2×C4—221no—
1390C2×C4—221no—
1391C2×C4—221no—
1392C2×C4—221no—
1393C2×C4—221no—
1394C2×C4—221no—
1395C2×C4—221no—
1396C2×C4—221no—
1397C2×C4—221no—
1398C2×C4—221no—
1399C2×C4—221no—
1400C2×C4—221no—
1401C2×C4—221no—
1402C2×C4—221no—
1403C2×C4—221no—
1404C2×C4—221no—
1405C2×C4—221no—
1406C2×C4—221no—
1407C2×C4—882no—
1408C2×C4—882no—
1409C2×C4C2×#434112yes—
1410C2×C4C2×#434112yes—
1411C2×C4#6704212yes—
1412C22—22no—
1413C22—22no—
1414C22—22no—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—441no—
1434C22—441no—
1435C22—441no—
1436C22—441no—
1437C22—441no—
1438C22—441no—
1439C22—441no—
1440C22—441no—
1441C22—441no—
1442C22—441no—
1443C22—441no—
1444C22—441no—
1445C22—441no—
1446C22—441no—
1447C22—888no—
1448C22C22×#434111yescharacteristic
1449C22C2×#6704211yescharacteristic
1450C22#1062345311yescharacteristic
1451C22#1062345311yescharacteristic
1452C22#1062345311yescharacteristic
1453C22D11×H(5,𝔽2)11yescharacteristic
1454C22#1062345511yescharacteristic
1455C4—22no—
1456C4—22no—
1457C4—22no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—222no—
1468C4—441no—
1469C4—441no—
1470C4—441no—
1471C4—441no—
1472C4—441no—
1473C4—441no—
1474C4—441no—
1475C4—441no—
1476C4—441no—
1477C4—441no—
1478C4—441no—
1479C4—441no—
1480C4—441no—
1481C2—42no—
1482C2—81no—
1483C2—81no—
1484C2—881no—
1485C2—881no—
1486C2#1308200511yescharacteristic
1487C2#1308235311yescharacteristic
1488C2#1308245311yescharacteristic
1489C2#1308298711yescharacteristic
1490C2#1308316311yescharacteristic
1491C2#1308320211yescharacteristic
1492C2#1308329011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2602C2
prime radical#13074934C2
hypercenter#2602D11
hypocenterC11#36990
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2602

Complements

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

NH ≅ G/Ntype
1. #13077009C2semidirect
2. #13076982C2semidirect
3. #13076550C2semidirect
4. #13076523C2semidirect
5. #13076512C2semidirect
6. #13076448C2semidirect
7. #13075802C2semidirect
8. #13075703C2semidirect
9. #13075656C2semidirect
10. #13075556C2semidirect
11. #13075554C2semidirect
12. #13075464C2semidirect
13. #13075373C2semidirect
14. #13075296C2semidirect
15. #13075135C2semidirect
16. #13075012C2semidirect
17. #13075012C2semidirect
19. #13074621C2semidirect
20. #13074606C2semidirect
21. #13074119C2semidirect
22. #13073727C2semidirect
23. #13073502C2semidirect
24. #13072844C2semidirect
25. #13072799C2semidirect
26. #13072329C2semidirect
27. #13072002C2semidirect
28. #13071410C2semidirect
29. #13071211C2semidirect
30. #13071081C2semidirect
31. C11×#2602C2semidirect
40. C2×#66979C22semidirect
43. C2×#66942C22semidirect
45. C2×#66932C22semidirect
46. C2×#66923C22semidirect
51. C11×#390C22semidirect
52. C11×#389C22semidirect
53. C11×#388C22semidirect
54. C11×#388C22semidirect
55. C11×#388C22semidirect
56. C11×#387C22semidirect
57. C11×#386C22semidirect
58. C11×#385C22semidirect
61. #10622835C22semidirect
62. #10622835C22semidirect
72. C4×C22⋊Dic11C22semidirect
83. #10622598C22semidirect
84. #10622598C22semidirect
85. #10622598C22semidirect
86. #10622596C22semidirect
87. #10622595C22semidirect
88. #10622594C22semidirect
89. #10622594C22semidirect
90. #10622591C22semidirect
91. #10622591C22semidirect
92. C4⋊C4×Dic11C22semidirect
93. #10622585C22semidirect
115. #10622565C22semidirect
116. #10622565C22semidirect
121. #10622564C22semidirect
122. #10622564C22semidirect
123. #10622564C22semidirect
124. #10622564C22semidirect
125. #10622564C22semidirect
126. #10622563C22semidirect
127. #10622563C22semidirect
130. #10622562C22semidirect
131. #10622562C22semidirect
134. #10622561C22semidirect
135. #10622561C22semidirect
137. #10622559C22semidirect
138. #10622558C22semidirect
139. #10622557C22semidirect
143. C22⋊C4×Dic11C22semidirect
150. #10622548C22semidirect
151. C4×C4⋊Dic11C22semidirect
152. C42×Dic11C22semidirect
153. #10622541C22semidirect
154. #10622541C22semidirect
171. C11⋊#401C22semidirect
172. #10622274C22semidirect
173. #10622273C22semidirect
174. #10622272C22semidirect
175. #10622272C22semidirect
176. #10622270C22semidirect
177. #10622268C22semidirect
178. #10622267C22semidirect
179. #10622267C22semidirect
180. #10622267C22semidirect
181. #10622266C22semidirect
182. #10622265C22semidirect
183. #10622260C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
554. #2602D11semidirect
768. #390C2×D11semidirect
779. #389C2×D11semidirect
812. #388C2×D11semidirect
813. #388C2×D11semidirect
814. #388C2×D11semidirect
825. #387C2×D11semidirect
830. #386C2×D11semidirect
835. #385C2×D11semidirect
1279. C11#36990semidirect

Maximal subgroups

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

subgroupindex
#130770092
#130769822
#130765502
#130765232
#130765122
#130764482
#130758022
#130757032
#130756562
#130755562
#130755542
#130754642
#130753732
#130752962
#130751352
#130750122
#130749342
#130746212
#130746062
#130741192
#130737272
#130735022
#130728442
#130727992
#130723292
#130720022
#130714102
#130712112
#130710812
C11×#26022
#3699011