Finite Group Databasebeta

← #14962719

Subgroups — #14962719

Order 2816.

1714 conjugacy classes of subgroups.

The subgroup lattice has 1452 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076928C211yesmaximal, characteristic, complemented
2#13076925C211yesmaximal, characteristic, complemented
3#13076591C211yesmaximal, characteristic, complemented
4#13076481C211yesmaximal, characteristic, complemented
5#13076452C211yesmaximal, characteristic, complemented
6#13076442C211yesmaximal, characteristic, complemented
7#13076430C211yesmaximal, characteristic, complemented
8#13076323C211yesmaximal, characteristic, complemented
9#13076304C211yesmaximal, characteristic, complemented
10#13076297C211yesmaximal, characteristic, complemented
11#13076272C211yesmaximal, characteristic, complemented
12#13076223C211yesmaximal, characteristic, complemented
13#13076189C211yesmaximal, characteristic, complemented
14#13076154C211yesmaximal, characteristic, complemented
15#13075507C211yesmaximal, characteristic, complemented
16#13075460C211yesmaximal, characteristic, complemented
17#13075143C211yesmaximal, characteristic, complemented
18#13074426C211yesmaximal, characteristic, complemented
19#13074388C211yesmaximal, characteristic
20#13073122C211yesmaximal, characteristic, complemented
21#13073053C211yesmaximal, characteristic, complemented
22#13072891C211yesmaximal, characteristic, complemented
23#13072858C211yesmaximal, characteristic, complemented
24#13072435C211yesmaximal, characteristic, complemented
25#13072299C211yesmaximal, characteristic, complemented
26#13072073C211yesmaximal, characteristic
27#13071998C211yesmaximal, characteristic
28#13071286C211yesmaximal, characteristic, complemented
29#13071238C211yesmaximal, characteristic, complemented
30D11×#388C211yesmaximal, characteristic, complemented
31C11×#2727C211yesmaximal, characteristic, complemented
32C2×C11×#126C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic, complemented
34C2×#66990C2211yescharacteristic
35C2×#66949C2211yescharacteristic
36C2×#66945C2211yescharacteristic
37C2×C4⋊C4×D11C2211yescharacteristic
38C2×#66943C2211yescharacteristic, complemented
39C2×#66939C2211yescharacteristic
40C2×#66936C2211yescharacteristic
41C2×(C22⋊D11)⋊C4C2211yescharacteristic
42C2×C22⋊C4×D11C2211yescharacteristic
43C2×C22⋊C4×D11C2211yescharacteristic
44C2×C22⋊C4×D11C2211yescharacteristic
45C2×#66925C2211yescharacteristic
46C2×C42×D11C2211yescharacteristic
47C11×#399C2211yescharacteristic
48C11×#399C2211yescharacteristic, complemented
49C11×#396C2211yescharacteristic
50C11×#396C2211yescharacteristic, complemented
51C11×#394C2211yescharacteristic
52C11×#394C2211yescharacteristic
53C11×#390C2211yescharacteristic
54C11×#389C2211yescharacteristic, complemented
55C11×#389C2211yescharacteristic, complemented
56C11×#389C2211yescharacteristic, complemented
57C11×#389C2211yescharacteristic, complemented
58C11×#388C2211yescharacteristic
59C11×#388C2211yescharacteristic, complemented
60#10622835C2211yescharacteristic
61#10622835C2211yescharacteristic
62#10622833C2211yescharacteristic
63#10622607C2211yescharacteristic
64#10622607C2211yescharacteristic
65#10622607C2211yescharacteristic
66#10622607C2211yescharacteristic
67#10622606C2211yescharacteristic
68#10622606C2211yescharacteristic
69#10622605C2211yescharacteristic
70#10622605C2211yescharacteristic
71#10622603C2211yescharacteristic
72#10622603C2211yescharacteristic
73#10622603C2211yescharacteristic
74#10622603C2211yescharacteristic
75#10622603C2211yescharacteristic
76#10622602C2211yescharacteristic
77#10622602C2211yescharacteristic
78#10622602C2211yescharacteristic
79#10622602C2211yescharacteristic
80#10622602C2211yescharacteristic
81#10622602C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622600C2211yescharacteristic
84#10622600C2211yescharacteristic
85#10622600C2211yescharacteristic
86#10622599C2211yescharacteristic, complemented
87#10622599C2211yescharacteristic, complemented
88#10622598C2211yescharacteristic, complemented
89#10622597C2211yescharacteristic, complemented
90#10622596C2211yescharacteristic, complemented
91#10622595C2211yescharacteristic, complemented
92#10622595C2211yescharacteristic, complemented
93#10622595C2211yescharacteristic, complemented
94#10622594C2211yescharacteristic, complemented
95#10622594C2211yescharacteristic, complemented
96#10622594C2211yescharacteristic, complemented
97#10622594C2211yescharacteristic, complemented
98#10622593C2211yescharacteristic, complemented
99#10622593C2211yescharacteristic, complemented
100#10622592C2211yescharacteristic, complemented
101#10622591C2211yescharacteristic, complemented
102#10622591C2211yescharacteristic, complemented
103#10622591C2211yescharacteristic, complemented
104#10622591C2211yescharacteristic, complemented
105#10622590C2211yescharacteristic, complemented
106#10622589C2211yescharacteristic, complemented
107#10622589C2211yescharacteristic, complemented
108#10622587C2211yescharacteristic, complemented
109#10622586C2211yescharacteristic, complemented
110#10622585C2211yescharacteristic, complemented
111#10622574C2211yescharacteristic
112#10622572C2211yescharacteristic
113#10622572C2211yescharacteristic
114#10622572C2211yescharacteristic
115#10622570C2211yescharacteristic
116#10622569C2211yescharacteristic
117#10622569C2211yescharacteristic
118#10622569C2211yescharacteristic
119#10622569C2211yescharacteristic
120#10622568C2211yescharacteristic
121#10622568C2211yescharacteristic
122#10622568C2211yescharacteristic
123#10622566C2211yescharacteristic
124#10622566C2211yescharacteristic
125#10622566C2211yescharacteristic, complemented
126#10622565C2211yescharacteristic
127#10622565C2211yescharacteristic
128#10622565C2211yescharacteristic
129#10622564C2211yescharacteristic
130#10622564C2211yescharacteristic
131#10622564C2211yescharacteristic
132#10622564C2211yescharacteristic, complemented
133#10622564C2211yescharacteristic, complemented
134#10622563C2211yescharacteristic, complemented
135#10622562C2211yescharacteristic
136#10622562C2211yescharacteristic
137#10622561C2211yescharacteristic
138#10622561C2211yescharacteristic
139#10622560C2211yescharacteristic
140#10622560C2211yescharacteristic, complemented
141#10622559C2211yescharacteristic, complemented
142#10622559C2211yescharacteristic, complemented
143#10622558C2211yescharacteristic
144#10622558C2211yescharacteristic
145#10622558C2211yescharacteristic
146#10622558C2211yescharacteristic
147#10622558C2211yescharacteristic, complemented
148#10622557C2211yescharacteristic
149#10622557C2211yescharacteristic, complemented
150#10622557C2211yescharacteristic, complemented
151#10622557C2211yescharacteristic, complemented
152#10622555C2211yescharacteristic, complemented
153#10622553C2211yescharacteristic
154#10622553C2211yescharacteristic
155#10622553C2211yescharacteristic
156C4×(C2×D11)⋊C4C2211yescharacteristic
157#10622550C2211yescharacteristic, complemented
158#10622546C2211yescharacteristic, complemented
159#10622546C2211yescharacteristic, complemented
160#10622541C2211yescharacteristic, complemented
161#10622541C2211yescharacteristic, complemented
162#10622541C2211yescharacteristic, complemented
163#10622288C2211yescharacteristic
164#10622288C2211yescharacteristic
165#10622287C2211yescharacteristic
166#10622286C2211yescharacteristic
167#10622283C2211yescharacteristic
168#10622282C2211yescharacteristic
169#10622281C2211yescharacteristic
170#10622281C2211yescharacteristic
171#10622281C2211yescharacteristic
172#10622277C2211yescharacteristic
173D11×#95C2211yescharacteristic
174D11×#95C2211yescharacteristic
175#10622274C2211yescharacteristic, complemented
176#10622271C2211yescharacteristic, complemented
177#10622268C2211yescharacteristic, complemented
178#10622267C2211yescharacteristic, complemented
179#10622267C2211yescharacteristic, complemented
180#10622266C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622265C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622263C2211yescharacteristic, complemented
185#10622263C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C22×C4×D11C2311yescharacteristic
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×Dic22C2311yescharacteristic
199C11×#126—42no—
200C11×#126—42no—
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×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
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
240C2×C22⋊Dic11C2311yescharacteristic
241#66990—42no—
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297#66949—42no—
298#66945—24no—
299C4⋊C4×D11—42no—
300#66943—42no—
301#66939—42no—
302#66936—24no—
303(C22⋊D11)⋊C4—42no—
304C22⋊C4×D11—24no—
305C22⋊C4×D11—42no—
306C22⋊C4×D11—42no—
307#66925—42no—
308C42×D11—42no—
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#36796—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C24×C11C2411yescharacteristic
360C23×D11—22no—
361C23×D11—22no—
362C23×D11—22no—
363C23×D11—41no—
364C23×D11—41no—
365C23×D11—41no—
366C23×D11—41no—
367C23×D11C2411yescharacteristic
368C23×D11C2411yescharacteristic
369C2×D4×C11—41no—
370C2×D4×C11—41no—
371C2×D4×C11—41no—
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
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C2×C22⋊D11—22no—
386C2×C22⋊D11—22no—
387C2×C22⋊D11—22no—
388C2×C22⋊D11—41no—
389C2×C22⋊D11—41no—
390C2×C22⋊D11—41no—
391C22×Dic11—41no—
392C22×Dic11—41no—
393C22×Dic11—41no—
394C22×Dic11C2411yescharacteristic
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C2×C4×D11—22no—
409C2×C4×D11—22no—
410C2×C4×D11—22no—
411C2×C4×D11—22no—
412C2×C4×D11—22no—
413C2×C4×D11—22no—
414C2×C4×D11—22no—
415C2×C4×D11—22no—
416C2×C4×D11—41no—
417C2×C4×D11—41no—
418C2×C4×D11—41no—
419C2×C4×D11—41no—
420C2×C4×D11—41no—
421C2×C4×D11—41no—
422C2×C4×D11—41no—
423C2×C4×D11—41no—
424C2×C4×D11—41no—
425C2×C4×D11#4114yes—
426C2×Dic22—41no—
427C2×Dic22—41no—
428C2×Dic22—41no—
429C11×C4⋊C4—22no—
430C11×C4⋊C4—22no—
431C11×C4⋊C4—22no—
432C11×C4⋊C4—41no—
433C11×C4⋊C4—41no—
434C11×C4⋊C4—41no—
435C11×C4⋊C4—41no—
436C11×C4⋊C4—41no—
437C11×C4⋊C4—41no—
438C11×C4⋊C4—41no—
439C11×C4⋊C4—41no—
440C11×C4⋊C4—41no—
441C11×C4⋊C4—41no—
442C11×C22⋊C4—22no—
443C11×C22⋊C4—22no—
444C11×C22⋊C4—22no—
445C11×C22⋊C4—22no—
446C11×C22⋊C4—41no—
447C11×C22⋊C4—41no—
448C11×C22⋊C4—41no—
449C11×C22⋊C4—41no—
450C11×C22⋊C4—41no—
451C11×C22⋊C4—41no—
452C11×C22⋊C4—41no—
453C11×C22⋊C4—41no—
454C42×C11—22no—
455C42×C11—41no—
456C42×C11—41no—
457C22⋊Dic11—22no—
458C22⋊Dic11—22no—
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—
468C22⋊Dic11—41no—
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—22no—
476(C2×D11)⋊C4—22no—
477(C2×D11)⋊C4—22no—
478(C2×D11)⋊C4—22no—
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—
489C4⋊Dic11—22no—
490C4⋊Dic11—22no—
491C4⋊Dic11—22no—
492C4⋊Dic11—41no—
493C4⋊Dic11—41no—
494C4⋊Dic11—41no—
495C4⋊Dic11—41no—
496C4⋊Dic11—41no—
497C4⋊Dic11—41no—
498Dic11⋊C4—22no—
499Dic11⋊C4—41no—
500Dic11⋊C4—41no—
501Dic11⋊C4—41no—
502Dic11⋊C4—41no—
503Dic11⋊C4—41no—
504Dic11⋊C4—41no—
505Dic11⋊C4—41no—
506Dic11⋊C4—41no—
507Dic11⋊C4—41no—
508Dic11⋊C4—41no—
509Dic11⋊C4—41no—
510Dic11⋊C4—41no—
511Dic11⋊C4—41no—
512Dic11⋊C4—41no—
513Dic11⋊C4—41no—
514Dic11⋊C4—41no—
515Dic11⋊C4—41no—
516C4×Dic11—22no—
517C4×Dic11—22no—
518C4×Dic11—22no—
519C4×Dic11—41no—
520C4×Dic11—41no—
521C4×Dic11—41no—
522C4×Dic11—41no—
523C4×Dic11—41no—
524#2852—111no—
525#2851—111no—
526#2808—111no—
527#2798—111no—
528#2796—111no—
529#2795—111no—
530#2793—111no—
531#2785—111no—
532#2783—111no—
533#2783—111no—
534#2781—111no—
535#2777—111no—
536#2775—111no—
537#2773—111no—
538#2727D1111yescharacteristic, complemented
539#2721—111no—
540#2718—111no—
541#2694—111no—
542#2626—111no—
543#2622—111no—
544#2505—111no—
545#2498—111no—
546#2482—111no—
547#2480—111no—
548#2450—111no—
549#2438—111no—
550#2418—111no—
551#2411—111no—
552#2322—111no—
553#2317—111no—
554C2×#388—111no—
555C23×C11—21no—
556C23×C11—21no—
557C23×C11—21no—
558C23×C11—21no—
559C23×C11—21no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11—21no—
565C23×C11—21no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11—21no—
569C23×C11C2511yescharacteristic
570C22×D11—21no—
571C22×D11—21no—
572C22×D11—21no—
573C22×D11—21no—
574C22×D11—21no—
575C22×D11—21no—
576C22×D11—21no—
577C22×D11—21no—
578C22×D11—21no—
579C22×D11—21no—
580C22×D11—21no—
581C22×D11—44no—
582C22×D11—44no—
583C22×D11—44no—
584C22×D11—82no—
585C22×D11—82no—
586C22×D11—82no—
587C22×D11—82no—
588C22×D11C2×#4112yes—
589C22×D11H(5,𝔽2)12yes—
590C22×D112−1+412yes—
591D4×C11—82no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
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×C11C2×#4112yes—
630C2×C4×C11H(5,𝔽2)12yes—
631C22⋊D11—44no—
632C22⋊D11—82no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
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—82no—
675C2×Dic11C2×#4112yes—
676C4×D11—28no—
677C4×D11—44no—
678C4×D11—44no—
679C4×D11—44no—
680C4×D11—82no—
681C4×D11—82no—
682Dic22—82no—
683C2×#126C2×D1111yescharacteristic
684C2×#126C2×D1111yescharacteristic, complemented
685C2×#125—111no—
686C2×#123—111no—
687C2×#123—111no—
688C2×C22⋊Q8—111no—
689C2×#120—111no—
690C2×C4×D4—111no—
691C2×#117—111no—
692C2×#117—111no—
693C22×C4⋊C4—111no—
694C22×C22⋊C4—111no—
695C22×C22⋊C4—111no—
696C22×C22⋊C4—111no—
697C22×C42—111no—
698#400—111no—
699#400—111no—
700#400—111no—
701#400—111no—
702#400—111no—
703#400—111no—
704#399—111no—
705#399—111no—
706#399—111no—
707#399—111no—
708#399C2×D1111yescharacteristic
709#399C2×D1111yescharacteristic, complemented
710#398—111no—
711#398—111no—
712#398—111no—
713#398—111no—
714#398—111no—
715#397—111no—
716#397—111no—
717#397—111no—
718#397—111no—
719#397—111no—
720#397—111no—
721#397—111no—
722#397—111no—
723#397—111no—
724#397—111no—
725#397—111no—
726#396—111no—
727#396—111no—
728#396—111no—
729#396—111no—
730#396—111no—
731#396—111no—
732#396C2×D1111yescharacteristic
733#396C2×D1111yescharacteristic, complemented
734#395—111no—
735#394—111no—
736#394—111no—
737#394—111no—
738#394—111no—
739#394—111no—
740#394—111no—
741#394C2×D1111yescharacteristic
742#394C2×D1111yescharacteristic
743#393—111no—
744#393—111no—
745#393—111no—
746#391—111no—
747#391—111no—
748#390—111no—
749#390C2×D1111yescharacteristic
750#389—111no—
751#389—111no—
752#389—111no—
753#389—111no—
754#389—111no—
755#389—111no—
756#389C2×D1111yescharacteristic, complemented
757#389C2×D1111yescharacteristic, complemented
758#389C2×D1111yescharacteristic, complemented
759#389C2×D1111yescharacteristic, complemented
760#388—111no—
761#388—111no—
762#388—111no—
763#388—111no—
764#388—111no—
765#388—111no—
766#388—111no—
767#388—111no—
768#388—111no—
769#388—111no—
770#388—111no—
771#388—111no—
772#388—111no—
773#388—111no—
774#388—111no—
775#388—111no—
776#388—111no—
777#388—111no—
778#388—111no—
779#388—111no—
780#388—111no—
781#388—111no—
782#388—111no—
783#388—111no—
784#388C2×D1111yescharacteristic
785#388C2×D1111yescharacteristic, complemented
786#387—111no—
787#387—111no—
788#387—111no—
789#387—111no—
790#387—111no—
791#387—111no—
792#387—111no—
793#387—111no—
794#387—111no—
795#387—111no—
796#387—111no—
797#387—111no—
798#387—111no—
799#387—111no—
800#387—111no—
801#387—111no—
802#386—111no—
803#386—111no—
804#386—111no—
805#386—111no—
806#386—111no—
807#385—111no—
808#385—111no—
809#385—111no—
810#385—111no—
811#385—111no—
812#385—111no—
813#385—111no—
814#385—111no—
815#385—111no—
816#385—111no—
817#385—111no—
818#385—111no—
819#385—111no—
820#384—111no—
821#384—111no—
822#383—111no—
823#382—111no—
824#382—111no—
825#382—111no—
826#382—111no—
827#381—111no—
828#380—111no—
829#380—111no—
830#380—111no—
831#380—111no—
832#379—111no—
833#379—111no—
834#379—111no—
835C4×C22⋊C4—111no—
836C2×#95—111no—
837C2×#95—111no—
838C22×C11—41no—
839C22×C11—41no—
840C22×C11—41no—
841C22×C11—41no—
842C22×C11—41no—
843C22×C11—41no—
844C22×C11—41no—
845C22×C11—41no—
846C22×C11—41no—
847C22×C11—41no—
848C22×C11—41no—
849C22×C11—41no—
850C22×C11—41no—
851C22×C11—41no—
852C22×C11C22×#4111yescharacteristic
853C22×C11C2×H(5,𝔽2)11yescharacteristic
854C22×C11C2×H(5,𝔽2)11yescharacteristic
855C22×C11C2×2−1+411yescharacteristic
856C22×C11#58511yescharacteristic
857C22×C11#58511yescharacteristic
858C22×C11#58511yescharacteristic
859C2×D11—22no—
860C2×D11—22no—
861C2×D11—22no—
862C2×D11—22no—
863C2×D11—22no—
864C2×D11—22no—
865C2×D11—41no—
866C2×D11—41no—
867C2×D11—41no—
868C2×D11—41no—
869C2×D11—41no—
870C2×D11—41no—
871C2×D11—41no—
872C2×D11—88no—
873C2×D11#53914yes—
874C4×C11—22no—
875C4×C11—22no—
876C4×C11—41no—
877C4×C11—41no—
878C4×C11—41no—
879C4×C11—41no—
880C4×C11—41no—
881C4×C11—41no—
882C4×C11—41no—
883C4×C11—41no—
884C4×C11—41no—
885C4×C11—41no—
886C4×C11—41no—
887Dic11—22no—
888Dic11—41no—
889Dic11—41no—
890Dic11—41no—
891Dic11—41no—
892Dic11—41no—
893Dic11—41no—
894Dic11—41no—
895Dic11—41no—
896Dic11—41no—
897Dic11—41no—
898Dic11—41no—
899Dic11—41no—
900Dic11—41no—
901C25—111no—
902C22×Q8—111no—
903C22×D4—111no—
904C22×D4—111no—
905C22×D4C22×D1111yescharacteristic
906C23×C4—111no—
907C23×C4—111no—
908C23×C4—111no—
909C23×C4—111no—
910C23×C4—111no—
911C23×C4—111no—
912C23×C4—111no—
913#126—42no—
914#126—42no—
915#125—442no—
916#123—224no—
917#123—442no—
918C22⋊Q8—442no—
919#120—442no—
920C4×D4—442no—
921#117—224no—
922#117—442no—
923C2×C4⋊C4—111no—
924C2×C4⋊C4—111no—
925C2×C4⋊C4—111no—
926C2×C4⋊C4—111no—
927C2×C4⋊C4—111no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
931C2×C4⋊C4—111no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—111no—
937C2×C4⋊C4—111no—
938C2×C4⋊C4—111no—
939C2×C4⋊C4—111no—
940C2×C4⋊C4—111no—
941C2×C4⋊C4—111no—
942C2×C4⋊C4—111no—
943C2×C4⋊C4—111no—
944C2×C4⋊C4—111no—
945C2×C4⋊C4—111no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4—111no—
950C2×C4⋊C4—442no—
951C2×C4⋊C4C22×D1111yescharacteristic
952C2×C4⋊C4C22×D1111yescharacteristic
953C2×C4⋊C4C22×D1111yescharacteristic
954C2×C4⋊C4C22×D1111yescharacteristic
955C2×C4⋊C4C22×D1111yescharacteristic
956C2×C4⋊C4C22×D1111yescharacteristic
957C2×C4⋊C4C22×D1111yescharacteristic
958C2×C4⋊C4C22×D1111yescharacteristic
959C2×C4⋊C4C22×D1111yescharacteristic
960C2×C4⋊C4C22×D1111yescharacteristic
961C2×C4⋊C4C22×D1111yescharacteristic
962C2×C4⋊C4C22×D1111yescharacteristic
963C2×C4⋊C4C22×D1111yescharacteristic
964C2×C22⋊C4—111no—
965C2×C22⋊C4—111no—
966C2×C22⋊C4—111no—
967C2×C22⋊C4—111no—
968C2×C22⋊C4—111no—
969C2×C22⋊C4—111no—
970C2×C22⋊C4—111no—
971C2×C22⋊C4—111no—
972C2×C22⋊C4—111no—
973C2×C22⋊C4—111no—
974C2×C22⋊C4—111no—
975C2×C22⋊C4—111no—
976C2×C22⋊C4—111no—
977C2×C22⋊C4—111no—
978C2×C22⋊C4—111no—
979C2×C22⋊C4—111no—
980C2×C22⋊C4—111no—
981C2×C22⋊C4—111no—
982C2×C22⋊C4—111no—
983C2×C22⋊C4—111no—
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—224no—
997C2×C22⋊C4—442no—
998C2×C22⋊C4—442no—
999C2×C22⋊C4C22×D1111yescharacteristic
1000C2×C22⋊C4C22×D1111yescharacteristic
1001C2×C22⋊C4C22×D1111yescharacteristic
1002C2×C22⋊C4C22×D1111yescharacteristic
1003C2×C22⋊C4C22×D1111yescharacteristic
1004C2×C22⋊C4C22×D1111yescharacteristic
1005C2×C22⋊C4C22×D1111yescharacteristic
1006C2×C22⋊C4C22×D1111yescharacteristic
1007C2×C22⋊C4C22×D1111yescharacteristic
1008C2×C22⋊C4C22×D1111yescharacteristic
1009C2×C22⋊C4C22×D1111yescharacteristic
1010C2×C22⋊C4C22×D1111yescharacteristic
1011C2×C42—111no—
1012C2×C42—111no—
1013C2×C42—111no—
1014C2×C42—111no—
1015C2×C42—111no—
1016C2×C42—111no—
1017C2×C42—111no—
1018C2×C42—111no—
1019C2×C42—442no—
1020C2×C42C22×D1111yescharacteristic
1021C2×C42C22×D1111yescharacteristic
1022C2×C42C22×D1111yescharacteristic
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95—111no—
1040#95—111no—
1041#95—111no—
1042#95—111no—
1043#95—111no—
1044#95—111no—
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95—111no—
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#95C22×D1111yescharacteristic
1066#95C22×D1111yescharacteristic
1067#95C22×D1111yescharacteristic
1068#95C22×D1111yescharacteristic
1069#95C22×D1111yescharacteristic
1070#95C22×D1111yescharacteristic
1071C2×C11—81no—
1072C2×C11—81no—
1073C2×C11C2×#53911yescharacteristic
1074C2×C11#349311yescharacteristic
1075C2×C11#350611yescharacteristic
1076C2×C11#353511yescharacteristic
1077C2×C11#354211yescharacteristic
1078C2×C11#354511yescharacteristic
1079C2×C11#356411yescharacteristic
1080D11—24no—
1081D11—81no—
1082C24—111no—
1083C24—111no—
1084C24—222no—
1085C24—222no—
1086C24—222no—
1087C24—441no—
1088C24—441no—
1089C24—441no—
1090C24—441no—
1091C24C23×D1111yescharacteristic
1092C24C23×D1111yescharacteristic
1093C2×Q8—441no—
1094C2×Q8—441no—
1095C2×Q8—441no—
1096C2×D4—41no—
1097C2×D4—41no—
1098C2×D4—41no—
1099C2×D4—222no—
1100C2×D4—222no—
1101C2×D4—222no—
1102C2×D4—441no—
1103C2×D4—441no—
1104C2×D4—441no—
1105C22×C4—111no—
1106C22×C4—114no—
1107C22×C4—111no—
1108C22×C4—111no—
1109C22×C4—111no—
1110C22×C4—111no—
1111C22×C4—111no—
1112C22×C4—111no—
1113C22×C4—111no—
1114C22×C4—111no—
1115C22×C4—111no—
1116C22×C4—111no—
1117C22×C4—111no—
1118C22×C4—111no—
1119C22×C4—111no—
1120C22×C4—222no—
1121C22×C4—222no—
1122C22×C4—222no—
1123C22×C4—222no—
1124C22×C4—222no—
1125C22×C4—222no—
1126C22×C4—222no—
1127C22×C4—222no—
1128C22×C4—441no—
1129C22×C4—441no—
1130C22×C4—441no—
1131C22×C4—441no—
1132C22×C4—441no—
1133C22×C4—441no—
1134C22×C4—441no—
1135C22×C4—441no—
1136C22×C4—441no—
1137C22×C4—441no—
1138C22×C4—441no—
1139C22×C4—441no—
1140C22×C4C23×D1111yescharacteristic
1141C22×C4C23×D1111yescharacteristic
1142C22×C4C23×D1111yescharacteristic
1143C22×C4C23×D1111yescharacteristic
1144C22×C4C23×D1111yescharacteristic
1145C22×C4C23×D1111yescharacteristic
1146C22×C4C23×D1111yescharacteristic
1147C22×C4C23×D1111yescharacteristic
1148C22×C4C23×D1111yescharacteristic
1149C22×C4C23×D1111yescharacteristic
1150C22×C4C23×D1111yescharacteristic
1151C22×C4C23×D1111yescharacteristic
1152C22×C4C23×D1111yescharacteristic
1153C4⋊C4—22no—
1154C4⋊C4—22no—
1155C4⋊C4—22no—
1156C4⋊C4—41no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—222no—
1167C4⋊C4—222no—
1168C4⋊C4—222no—
1169C4⋊C4—222no—
1170C4⋊C4—441no—
1171C4⋊C4—441no—
1172C4⋊C4—441no—
1173C4⋊C4—441no—
1174C4⋊C4—441no—
1175C4⋊C4—441no—
1176C4⋊C4—441no—
1177C4⋊C4—441no—
1178C4⋊C4—441no—
1179C4⋊C4—441no—
1180C4⋊C4—441no—
1181C4⋊C4—441no—
1182C4⋊C4—441no—
1183C4⋊C4—441no—
1184C4⋊C4—441no—
1185C4⋊C4—441no—
1186C4⋊C4—441no—
1187C4⋊C4—441no—
1188C4⋊C4—441no—
1189C4⋊C4—441no—
1190C4⋊C4—441no—
1191C4⋊C4—441no—
1192C4⋊C4—441no—
1193C22⋊C4—22no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—41no—
1198C22⋊C4—41no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C22⋊C4—41no—
1202C22⋊C4—41no—
1203C22⋊C4—41no—
1204C22⋊C4—41no—
1205C22⋊C4—222no—
1206C22⋊C4—222no—
1207C22⋊C4—222no—
1208C22⋊C4—222no—
1209C22⋊C4—222no—
1210C22⋊C4—222no—
1211C22⋊C4—222no—
1212C22⋊C4—222no—
1213C22⋊C4—222no—
1214C22⋊C4—222no—
1215C22⋊C4—222no—
1216C22⋊C4—222no—
1217C22⋊C4—441no—
1218C22⋊C4—441no—
1219C22⋊C4—441no—
1220C22⋊C4—441no—
1221C22⋊C4—441no—
1222C22⋊C4—441no—
1223C22⋊C4—441no—
1224C22⋊C4—441no—
1225C22⋊C4—441no—
1226C22⋊C4—441no—
1227C22⋊C4—441no—
1228C22⋊C4—441no—
1229C22⋊C4—441no—
1230C22⋊C4—441no—
1231C22⋊C4—441no—
1232C22⋊C4—441no—
1233C22⋊C4—441no—
1234C22⋊C4—441no—
1235C22⋊C4—441no—
1236C22⋊C4—441no—
1237C42—22no—
1238C42—41no—
1239C42—41no—
1240C42—222no—
1241C42—222no—
1242C42—222no—
1243C42—441no—
1244C42—441no—
1245C42—441no—
1246C42—441no—
1247C42—441no—
1248C11#3679611yescharacteristic, complemented, Sylow
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—112no—
1264C23—112no—
1265C23—112no—
1266C23—221no—
1267C23—221no—
1268C23—221no—
1269C23—221no—
1270C23—221no—
1271C23—221no—
1272C23—221no—
1273C23—221no—
1274C23—221no—
1275C23—221no—
1276C23—221no—
1277C23—444no—
1278C23—444no—
1279C23—444no—
1280C23—882no—
1281C23—882no—
1282C23—882no—
1283C23—882no—
1284C23C24×D1111yescharacteristic
1285Q8—882no—
1286D4—82no—
1287D4—444no—
1288D4—882no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—112no—
1327C2×C4—228no—
1328C2×C4—221no—
1329C2×C4—221no—
1330C2×C4—221no—
1331C2×C4—221no—
1332C2×C4—221no—
1333C2×C4—221no—
1334C2×C4—221no—
1335C2×C4—221no—
1336C2×C4—221no—
1337C2×C4—221no—
1338C2×C4—221no—
1339C2×C4—221no—
1340C2×C4—221no—
1341C2×C4—221no—
1342C2×C4—221no—
1343C2×C4—221no—
1344C2×C4—221no—
1345C2×C4—221no—
1346C2×C4—221no—
1347C2×C4—221no—
1348C2×C4—221no—
1349C2×C4—221no—
1350C2×C4—221no—
1351C2×C4—221no—
1352C2×C4—221no—
1353C2×C4—221no—
1354C2×C4—221no—
1355C2×C4—221no—
1356C2×C4—221no—
1357C2×C4—221no—
1358C2×C4—221no—
1359C2×C4—221no—
1360C2×C4—221no—
1361C2×C4—221no—
1362C2×C4—221no—
1363C2×C4—221no—
1364C2×C4—221no—
1365C2×C4—221no—
1366C2×C4—221no—
1367C2×C4—221no—
1368C2×C4—221no—
1369C2×C4—444no—
1370C2×C4—444no—
1371C2×C4—444no—
1372C2×C4—882no—
1373C2×C4—882no—
1374C2×C4—882no—
1375C2×C4#6703712yes—
1376C2×C4#41×D1112yes—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—114no—
1392C22—222no—
1393C22—222no—
1394C22—222no—
1395C22—222no—
1396C22—222no—
1397C22—222no—
1398C22—441no—
1399C22—441no—
1400C22—441no—
1401C22—441no—
1402C22—441no—
1403C22—441no—
1404C22—441no—
1405C22—888no—
1406C22C2×#6703711yescharacteristic
1407C22C2×#41×D1111yescharacteristic
1408C22#1062345311yescharacteristic
1409C22D11×H(5,𝔽2)11yescharacteristic
1410C22#1062345511yescharacteristic
1411C22D11×2−1+411yescharacteristic
1412C22#1062345711yescharacteristic
1413C4—22no—
1414C4—22no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—222no—
1427C4—441no—
1428C4—441no—
1429C4—441no—
1430C4—441no—
1431C4—441no—
1432C4—441no—
1433C4—441no—
1434C4—441no—
1435C4—441no—
1436C4—441no—
1437C4—441no—
1438C4—441no—
1439C4—441no—
1440C2—81no—
1441C2—81no—
1442C2—224no—
1443C2—881no—
1444C2D11×#53911yescharacteristic
1445C2#1308233011yescharacteristic
1446C2#1308246011yescharacteristic
1447C2#1308281711yescharacteristic
1448C2#1308292011yescharacteristic
1449C2#1308296711yescharacteristic
1450C2#1308323811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2727C2
prime radicalC2×#66990C22
hypercenter#2727D11
hypocenterC11#36796
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2727

Complements

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

NH ≅ G/Ntype
1. #13076928C2semidirect
2. #13076925C2semidirect
3. #13076591C2semidirect
4. #13076481C2semidirect
5. #13076452C2semidirect
6. #13076442C2semidirect
7. #13076430C2semidirect
8. #13076323C2semidirect
9. #13076304C2semidirect
10. #13076297C2semidirect
11. #13076272C2semidirect
12. #13076223C2semidirect
13. #13076189C2semidirect
14. #13076154C2semidirect
15. #13075507C2semidirect
16. #13075460C2semidirect
17. #13075143C2semidirect
18. #13074426C2semidirect
20. #13073122C2semidirect
21. #13073053C2semidirect
22. #13072891C2semidirect
23. #13072858C2semidirect
24. #13072435C2semidirect
25. #13072299C2semidirect
28. #13071286C2semidirect
29. #13071238C2semidirect
30. D11×#388C2semidirect
31. C11×#2727C2semidirect
33. C2×C11×#126C22semidirect
38. C2×#66943C22semidirect
48. C11×#399C22semidirect
50. C11×#396C22semidirect
54. C11×#389C22semidirect
55. C11×#389C22semidirect
56. C11×#389C22semidirect
57. C11×#389C22semidirect
59. C11×#388C22semidirect
86. #10622599C22semidirect
87. #10622599C22semidirect
88. #10622598C22semidirect
89. #10622597C22semidirect
90. #10622596C22semidirect
91. #10622595C22semidirect
92. #10622595C22semidirect
93. #10622595C22semidirect
94. #10622594C22semidirect
95. #10622594C22semidirect
96. #10622594C22semidirect
97. #10622594C22semidirect
98. #10622593C22semidirect
99. #10622593C22semidirect
100. #10622592C22semidirect
101. #10622591C22semidirect
102. #10622591C22semidirect
103. #10622591C22semidirect
104. #10622591C22semidirect
105. #10622590C22semidirect
106. #10622589C22semidirect
107. #10622589C22semidirect
108. #10622587C22semidirect
109. #10622586C22semidirect
110. #10622585C22semidirect
125. #10622566C22semidirect
132. #10622564C22semidirect
133. #10622564C22semidirect
134. #10622563C22semidirect
140. #10622560C22semidirect
141. #10622559C22semidirect
142. #10622559C22semidirect
147. #10622558C22semidirect
149. #10622557C22semidirect
150. #10622557C22semidirect
151. #10622557C22semidirect
152. #10622555C22semidirect
157. #10622550C22semidirect
158. #10622546C22semidirect
159. #10622546C22semidirect
160. #10622541C22semidirect
161. #10622541C22semidirect
162. #10622541C22semidirect
175. #10622274C22semidirect
176. #10622271C22semidirect
177. #10622268C22semidirect
178. #10622267C22semidirect
179. #10622267C22semidirect
180. #10622266C22semidirect
181. #10622265C22semidirect
182. #10622265C22semidirect
183. #10622263C22semidirect
184. #10622263C22semidirect
185. #10622263C22semidirect
186. #10622259C22semidirect
538. #2727D11semidirect
684. C2×#126C2×D11semidirect
709. #399C2×D11semidirect
733. #396C2×D11semidirect
756. #389C2×D11semidirect
757. #389C2×D11semidirect
758. #389C2×D11semidirect
759. #389C2×D11semidirect
785. #388C2×D11semidirect
1248. C11#36796semidirect

Maximal subgroups

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

subgroupindex
#130769282
#130769252
#130765912
#130764812
#130764522
#130764422
#130764302
#130763232
#130763042
#130762972
#130762722
#130762232
#130761892
#130761542
#130755072
#130754602
#130751432
#130744262
#130743882
#130731222
#130730532
#130728912
#130728582
#130724352
#130722992
#130720732
#130719982
#130712862
#130712382
D11×#3882
C11×#27272
#3679611