Finite Group Databasebeta

← #14960934

Subgroups — #14960934

Order 2816.

1854 conjugacy classes of subgroups.

The subgroup lattice has 1442 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076902C211yesmaximal, characteristic
2#13076902C211yesmaximal, characteristic
3#13075822C211yesmaximal, characteristic, complemented
4#13075818C211yesmaximal, characteristic, complemented
5#13075814C211yesmaximal, characteristic, complemented
6#13075810C211yesmaximal, characteristic, complemented
7#13075527C211yesmaximal, characteristic, complemented
8#13075526C211yesmaximal, characteristic, complemented
9#13075525C211yesmaximal, characteristic, complemented
10#13075524C211yesmaximal, characteristic, complemented
11#13075280C211yesmaximal, characteristic, complemented
12#13075276C211yesmaximal, characteristic, complemented
13#13075272C211yesmaximal, characteristic, complemented
14#13075268C211yesmaximal, characteristic, complemented
15#13075088C211yesmaximal, characteristic, complemented
16#13075084C211yesmaximal, characteristic, complemented
17#13075080C211yesmaximal, characteristic, complemented
18#13075076C211yesmaximal, characteristic, complemented
19#13074733C211yesmaximal, characteristic, complemented
20#13074588C211yesmaximal, characteristic, complemented
21#13072869C211yesmaximal, characteristic
22#13072867C211yesmaximal, characteristic
23#13072864C211yesmaximal, characteristic
24#13072862C211yesmaximal, characteristic
25#13072756C211yesmaximal, characteristic, complemented
26#13072754C211yesmaximal, characteristic, complemented
27#13072751C211yesmaximal, characteristic, complemented
28#13071347C211yesmaximal, characteristic, complemented
29#13071344C211yesmaximal, characteristic, complemented
30C2×#10622600C211yesmaximal, characteristic
31C11×#2473C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#125C2211yescharacteristic, complemented
34C22×C11×C4⋊C4C2211yescharacteristic
35C22×(C2×D11)⋊C4C2211yescharacteristic
36C22×(C2×D11)⋊C4C2211yescharacteristic
37C22×C4⋊Dic11C2211yescharacteristic
38C2×#66951C2211yescharacteristic
39C2×#66951C2211yescharacteristic
40C2×#66951C2211yescharacteristic
41C2×#66949C2211yescharacteristic
42C2×#66949C2211yescharacteristic
43C2×#66949C2211yescharacteristic
44C2×#66949C2211yescharacteristic
45C2×#66943C2211yescharacteristic, complemented
46C2×#66942C2211yescharacteristic, complemented
47C2×#66942C2211yescharacteristic, complemented
48C2×#66931C2211yescharacteristic
49C2×#66931C2211yescharacteristic
50C2×#66929C2211yescharacteristic
51C11×#400C2211yescharacteristic, complemented
52C11×#398C2211yescharacteristic, complemented
53C11×#398C2211yescharacteristic, complemented
54C11×#398C2211yescharacteristic, complemented
55C11×#389C2211yescharacteristic, complemented
56C11×#387C2211yescharacteristic, complemented
57C11×#387C2211yescharacteristic, complemented
58C11×#385C2211yescharacteristic
59C11×#385C2211yescharacteristic
60C11×#385C2211yescharacteristic
61C11×#385C2211yescharacteristic
62C11×#380C2211yescharacteristic
63C4×C11×C22⋊C4C2211yescharacteristic
64#10622825C2211yescharacteristic
65#10622823C2211yescharacteristic
66#10622823C2211yescharacteristic
67#10622823C2211yescharacteristic
68#10622823C2211yescharacteristic
69C4×C22⋊Dic11C2211yescharacteristic
70C2×C11⋊#95C2211yescharacteristic
71C2×C11⋊#95C2211yescharacteristic
72#10622607C2211yescharacteristic
73#10622607C2211yescharacteristic
74#10622607C2211yescharacteristic
75#10622606C2211yescharacteristic
76#10622606C2211yescharacteristic
77#10622606C2211yescharacteristic
78#10622603C2211yescharacteristic
79#10622603C2211yescharacteristic
80#10622603C2211yescharacteristic
81#10622602C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622602C2211yescharacteristic
85#10622600C2211yescharacteristic
86#10622600C2211yescharacteristic
87#10622600C2211yescharacteristic
88#10622600C2211yescharacteristic
89#10622600C2211yescharacteristic
90#10622600C2211yescharacteristic
91#10622600C2211yescharacteristic
92#10622600C2211yescharacteristic
93#10622599C2211yescharacteristic, complemented
94#10622598C2211yescharacteristic, complemented
95#10622597C2211yescharacteristic, complemented
96#10622597C2211yescharacteristic, complemented
97#10622597C2211yescharacteristic, complemented
98#10622597C2211yescharacteristic, complemented
99#10622597C2211yescharacteristic, complemented
100#10622597C2211yescharacteristic, complemented
101#10622596C2211yescharacteristic, complemented
102#10622596C2211yescharacteristic, complemented
103#10622596C2211yescharacteristic, complemented
104#10622595C2211yescharacteristic, complemented
105#10622595C2211yescharacteristic, complemented
106#10622594C2211yescharacteristic, complemented
107#10622594C2211yescharacteristic, complemented
108#10622593C2211yescharacteristic, complemented
109#10622593C2211yescharacteristic, complemented
110#10622592C2211yescharacteristic, complemented
111#10622592C2211yescharacteristic, complemented
112#10622591C2211yescharacteristic, complemented
113#10622591C2211yescharacteristic, complemented
114#10622587C2211yescharacteristic, complemented
115#10622586C2211yescharacteristic, complemented
116#10622585C2211yescharacteristic, complemented
117#10622585C2211yescharacteristic, complemented
118#10622568C2211yescharacteristic
119#10622568C2211yescharacteristic
120#10622568C2211yescharacteristic
121#10622568C2211yescharacteristic
122#10622563C2211yescharacteristic
123#10622563C2211yescharacteristic
124#10622559C2211yescharacteristic
125#10622559C2211yescharacteristic
126#10622555C2211yescharacteristic
127#10622555C2211yescharacteristic
128#10622555C2211yescharacteristic
129#10622555C2211yescharacteristic
130C22⋊C4×Dic11C2211yescharacteristic
131C22⋊C4×Dic11C2211yescharacteristic
132#10622553C2211yescharacteristic
133#10622553C2211yescharacteristic
134#10622553C2211yescharacteristic
135#10622546C2211yescharacteristic, complemented
136#10622546C2211yescharacteristic, complemented
137#10622542C2211yescharacteristic, complemented
138#10622541C2211yescharacteristic, complemented
139#10622289C2211yescharacteristic
140#10622288C2211yescharacteristic
141#10622288C2211yescharacteristic
142#10622288C2211yescharacteristic
143#10622288C2211yescharacteristic
144#10622288C2211yescharacteristic
145#10622288C2211yescharacteristic
146#10622287C2211yescharacteristic
147#10622287C2211yescharacteristic
148#10622287C2211yescharacteristic
149#10622283C2211yescharacteristic
150#10622283C2211yescharacteristic
151#10622283C2211yescharacteristic
152#10622282C2211yescharacteristic
153#10622282C2211yescharacteristic
154#10622282C2211yescharacteristic
155#10622281C2211yescharacteristic
156#10622281C2211yescharacteristic
157#10622281C2211yescharacteristic
158#10622281C2211yescharacteristic
159#10622280C2211yescharacteristic
160#10622280C2211yescharacteristic
161#10622280C2211yescharacteristic
162#10622280C2211yescharacteristic
163#10622274C2211yescharacteristic, complemented
164#10622274C2211yescharacteristic, complemented
165#10622272C2211yescharacteristic, complemented
166#10622272C2211yescharacteristic, complemented
167#10622271C2211yescharacteristic, complemented
168#10622271C2211yescharacteristic, complemented
169#10622270C2211yescharacteristic, complemented
170#10622270C2211yescharacteristic, complemented
171#10622270C2211yescharacteristic, complemented
172#10622270C2211yescharacteristic, complemented
173#10622269C2211yescharacteristic, complemented
174#10622269C2211yescharacteristic, complemented
175#10622268C2211yescharacteristic, complemented
176#10622268C2211yescharacteristic, complemented
177#10622267C2211yescharacteristic, complemented
178#10622267C2211yescharacteristic, complemented
179#10622266C2211yescharacteristic, complemented
180#10622266C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622265C2211yescharacteristic, complemented
183#10622260C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C22×C4×D11—24no—
195C22×C4×D11—42no—
196C22×C4×D11—42no—
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×Dic22C2311yescharacteristic
202C22×Dic22C2311yescharacteristic
203C11×#125—42no—
204C2×C11×C4⋊C4—42no—
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×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×(C2×D11)⋊C4—42no—
230C2×(C2×D11)⋊C4—42no—
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11—42no—
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298#66951—42no—
299#66951—42no—
300#66951—42no—
301#66949—42no—
302#66949—42no—
303#66949—42no—
304#66949—42no—
305#66943—42no—
306#66942—42no—
307#66942—42no—
308#66931—24no—
309#66931—24no—
310#66929—42no—
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
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363#36728—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C23×D11—22no—
366C23×D11—22no—
367C23×D11—22no—
368C23×D11—22no—
369C23×D11—22no—
370C23×D11—41no—
371C23×D11—41no—
372C23×D11C2411yescharacteristic
373C23×D11C2411yescharacteristic
374C22×C4×C11—22no—
375C22×C4×C11—22no—
376C22×C4×C11—22no—
377C22×C4×C11—22no—
378C22×C4×C11—22no—
379C22×C4×C11—41no—
380C22×C4×C11—41no—
381C22×C4×C11—41no—
382C22×C4×C11—41no—
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
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
397C22×Dic11—22no—
398C22×Dic11—22no—
399C22×Dic11—41no—
400C22×Dic11—41no—
401C22×Dic11—41no—
402C22×Dic11—41no—
403C22×Dic11—41no—
404C22×Dic11—41no—
405C22×Dic11#4114yes—
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C2×C4×D11—22no—
421C2×C4×D11—22no—
422C2×C4×D11—22no—
423C2×C4×D11—22no—
424C2×C4×D11—22no—
425C2×C4×D11—22no—
426C2×C4×D11—22no—
427C2×C4×D11—22no—
428C2×C4×D11—41no—
429C2×C4×D11—41no—
430C2×C4×D11—41no—
431C2×C4×D11—41no—
432C2×C4×D11—416no—
433C2×Dic22—22no—
434C2×Dic22—22no—
435C2×Dic22—41no—
436C2×Dic22—41no—
437C2×Dic22—41no—
438C2×Dic22—41no—
439C11×C4⋊C4—22no—
440C11×C4⋊C4—22no—
441C11×C4⋊C4—22no—
442C11×C4⋊C4—22no—
443C11×C4⋊C4—22no—
444C11×C4⋊C4—22no—
445C11×C4⋊C4—41no—
446C11×C4⋊C4—41no—
447C11×C4⋊C4—41no—
448C11×C4⋊C4—41no—
449C11×C4⋊C4—41no—
450C11×C4⋊C4—41no—
451C11×C4⋊C4—41no—
452C11×C4⋊C4—41no—
453C11×C22⋊C4—22no—
454C11×C22⋊C4—22no—
455C11×C22⋊C4—22no—
456C11×C22⋊C4—22no—
457C42×C11—41no—
458C42×C11—41no—
459C22⋊Dic11—22no—
460C22⋊Dic11—22no—
461C22⋊Dic11—22no—
462C22⋊Dic11—22no—
463(C2×D11)⋊C4—22no—
464(C2×D11)⋊C4—22no—
465(C2×D11)⋊C4—22no—
466(C2×D11)⋊C4—22no—
467(C2×D11)⋊C4—22no—
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—
487C4⋊Dic11—22no—
488C4⋊Dic11—22no—
489C4⋊Dic11—22no—
490C4⋊Dic11—22no—
491C4⋊Dic11—41no—
492C4⋊Dic11—41no—
493C4⋊Dic11—41no—
494C4⋊Dic11—41no—
495C4⋊Dic11—41no—
496C4⋊Dic11—41no—
497C4⋊Dic11—41no—
498C4⋊Dic11—41no—
499Dic11⋊C4—22no—
500Dic11⋊C4—22no—
501Dic11⋊C4—22no—
502Dic11⋊C4—22no—
503Dic11⋊C4—22no—
504Dic11⋊C4—22no—
505Dic11⋊C4—22no—
506Dic11⋊C4—22no—
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—
516Dic11⋊C4—41no—
517Dic11⋊C4—41no—
518Dic11⋊C4—41no—
519Dic11⋊C4—41no—
520Dic11⋊C4—41no—
521Dic11⋊C4—41no—
522Dic11⋊C4—41no—
523C4×Dic11—41no—
524C4×Dic11—41no—
525C4×Dic11—41no—
526C4×Dic11—41no—
527C4×Dic11—41no—
528C4×Dic11—41no—
529#2848—111no—
530#2848—111no—
531#2747—111no—
532#2747—111no—
533#2747—111no—
534#2747—111no—
535#2722—111no—
536#2722—111no—
537#2722—111no—
538#2722—111no—
539#2704—111no—
540#2704—111no—
541#2704—111no—
542#2704—111no—
543#2690—111no—
544#2690—111no—
545#2690—111no—
546#2690—111no—
547#2659—111no—
548#2646—111no—
549#2480—111no—
550#2480—111no—
551#2480—111no—
552#2480—111no—
553#2473—111no—
554#2473—111no—
555#2473—111no—
556#2473D1111yescharacteristic, complemented
557#2329—111no—
558#2329—111no—
559C2×#380—111no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11C2×#4112yes—
565C23×C112−1+412yes—
566C23×C112−1+412yes—
567C23×C11C2511yescharacteristic
568C22×D11—28no—
569C22×D11—21no—
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—44no—
585C22×D11—44no—
586C22×D11—44no—
587C22×D11H(5,𝔽2)12yes—
588C22×D112−1+412yes—
589C2×C4×C11—28no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
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×C11—21no—
630C2×C4×C11—82no—
631C2×C4×C11—82no—
632C2×C4×C11H(5,𝔽2)12yes—
633C2×C4×C11H(5,𝔽2)12yes—
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—44no—
675C2×Dic11—82no—
676C2×Dic11—82no—
677C2×Dic11C2×#4112yes—
678C2×Dic11C2×#4112yes—
679C4×D11—44no—
680C4×D11—44no—
681C4×D11—44no—
682C4×D11—44no—
683Dic22—82no—
684Dic22—82no—
685C24×C4—111no—
686C2×#126—111no—
687C2×#126—111no—
688C2×#126—111no—
689C2×#126—111no—
690C2×#125—111no—
691C2×#125—111no—
692C2×#125—111no—
693C2×#125C2×D1111yescharacteristic, complemented
694C2×C22⋊Q8—111no—
695C2×C22⋊Q8—111no—
696C2×C22⋊Q8—111no—
697C2×C22⋊Q8—111no—
698C2×C22⋊Q8—111no—
699C2×C22⋊Q8—111no—
700C22×C4⋊C4—111no—
701C22×C4⋊C4C2×D1111yescharacteristic
702C22×C22⋊C4—111no—
703C22×C22⋊C4—111no—
704#400—111no—
705#400—111no—
706#400—111no—
707#400—111no—
708#400—111no—
709#400—111no—
710#400—111no—
711#400C2×D1111yescharacteristic, complemented
712#398—111no—
713#398—111no—
714#398—111no—
715#398—111no—
716#398—111no—
717#398—111no—
718#398—111no—
719#398—111no—
720#398—111no—
721#398—111no—
722#398—111no—
723#398—111no—
724#398—111no—
725#398—111no—
726#398—111no—
727#398—111no—
728#398—111no—
729#398C2×D1111yescharacteristic, complemented
730#398C2×D1111yescharacteristic, complemented
731#398C2×D1111yescharacteristic, complemented
732#397—111no—
733#397—111no—
734#397—111no—
735#397—111no—
736#397—111no—
737#397—111no—
738#397—111no—
739#397—111no—
740#397—111no—
741#397—111no—
742#397—111no—
743#397—111no—
744#396—111no—
745#396—111no—
746#396—111no—
747#396—111no—
748#395—111no—
749#395—111no—
750#395—111no—
751#395—111no—
752#391—111no—
753#391—111no—
754#391—111no—
755#391—111no—
756#389—111no—
757#389—111no—
758#389—111no—
759#389—111no—
760#389—111no—
761#389—111no—
762#389—111no—
763#389C2×D1111yescharacteristic, complemented
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#387—111no—
777#387—111no—
778#387—111no—
779#387—111no—
780#387—111no—
781#387—111no—
782#387—111no—
783#387—111no—
784#387—111no—
785#387—111no—
786#387—111no—
787#387—111no—
788#387—111no—
789#387—111no—
790#387C2×D1111yescharacteristic, complemented
791#387C2×D1111yescharacteristic, complemented
792#385—111no—
793#385—111no—
794#385—111no—
795#385—111no—
796#385—111no—
797#385—111no—
798#385—111no—
799#385—111no—
800#385—111no—
801#385—111no—
802#385—111no—
803#385—111no—
804#385—111no—
805#385—111no—
806#385—111no—
807#385—111no—
808#385C2×D1111yescharacteristic
809#385C2×D1111yescharacteristic
810#385C2×D1111yescharacteristic
811#385C2×D1111yescharacteristic
812#380—111no—
813#380—111no—
814#380—111no—
815#380—111no—
816#380—111no—
817#380—111no—
818#380—111no—
819#380—111no—
820#380—111no—
821#380—111no—
822#380—111no—
823#380—111no—
824#380—111no—
825#380—111no—
826#380—111no—
827#380—111no—
828#380—111no—
829#380C2×D1111yescharacteristic
830#379—111no—
831#379—111no—
832#379—111no—
833#379—111no—
834C4×C22⋊C4—111no—
835C4×C22⋊C4—111no—
836C4×C22⋊C4—111no—
837C4×C22⋊C4C2×D1111yescharacteristic
838C2×#95—111no—
839C2×#95—111no—
840C22×C11—22no—
841C22×C11—22no—
842C22×C11—22no—
843C22×C11—22no—
844C22×C11—22no—
845C22×C11—22no—
846C22×C11#54114yes—
847C22×C11C22×#4111yescharacteristic
848C22×C11C2×H(5,𝔽2)11yescharacteristic
849C22×C11C2×H(5,𝔽2)11yescharacteristic
850C22×C11C2×H(5,𝔽2)11yescharacteristic
851C22×C11C2×2−1+411yescharacteristic
852C22×C11C2×2−1+411yescharacteristic
853C22×C11C2×2−1+411yescharacteristic
854C2×D11—22no—
855C2×D11—22no—
856C2×D11—22no—
857C2×D11—22no—
858C2×D11—22no—
859C2×D11—22no—
860C2×D11—416no—
861C2×D11—41no—
862C2×D11—41no—
863C2×D11—41no—
864C2×D11—41no—
865C2×D11—41no—
866C2×D11—41no—
867C2×D11—41no—
868C2×D11—41no—
869C4×C11—22no—
870C4×C11—22no—
871C4×C11—41no—
872C4×C11—41no—
873C4×C11—41no—
874C4×C11—41no—
875C4×C11—41no—
876C4×C11—41no—
877C4×C11—41no—
878C4×C11—41no—
879C4×C11—41no—
880C4×C11—41no—
881C4×C11—41no—
882C4×C11—41no—
883Dic11—22no—
884Dic11—22no—
885Dic11—41no—
886Dic11—41no—
887Dic11—41no—
888Dic11—41no—
889Dic11—41no—
890Dic11—41no—
891Dic11—41no—
892Dic11—41no—
893Dic11—41no—
894Dic11—41no—
895Dic11—41no—
896Dic11—41no—
897C25—111no—
898C22×Q8—111no—
899C22×Q8—111no—
900C23×C4—111no—
901C23×C4—111no—
902C23×C4—111no—
903C23×C4—111no—
904C23×C4—111no—
905C23×C4—111no—
906C23×C4—111no—
907C23×C4—224no—
908C23×C4—442no—
909C23×C4—442no—
910C23×C4C22×D1111yescharacteristic
911C23×C4C22×D1111yescharacteristic
912C23×C4C22×D1111yescharacteristic
913#126—442no—
914#126—442no—
915#126—442no—
916#126—442no—
917#125—42no—
918#125—442no—
919#125—442no—
920#125—442no—
921C22⋊Q8—224no—
922C22⋊Q8—224no—
923C22⋊Q8—442no—
924C22⋊Q8—442no—
925C22⋊Q8—442no—
926C22⋊Q8—442no—
927C2×C4⋊C4—42no—
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—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—442no—
965C2×C4⋊C4C22×D1111yescharacteristic
966C2×C4⋊C4C22×D1111yescharacteristic
967C2×C4⋊C4C22×D1111yescharacteristic
968C2×C4⋊C4C22×D1111yescharacteristic
969C2×C4⋊C4C22×D1111yescharacteristic
970C2×C4⋊C4C22×D1111yescharacteristic
971C2×C4⋊C4C22×D1111yescharacteristic
972C2×C4⋊C4C22×D1111yescharacteristic
973C2×C4⋊C4C22×D1111yescharacteristic
974C2×C4⋊C4C22×D1111yescharacteristic
975C2×C4⋊C4C22×D1111yescharacteristic
976C2×C4⋊C4C22×D1111yescharacteristic
977C2×C4⋊C4C22×D1111yescharacteristic
978C2×C4⋊C4C22×D1111yescharacteristic
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—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—442no—
1008C2×C22⋊C4—442no—
1009C2×C22⋊C4C22×D1111yescharacteristic
1010C2×C22⋊C4C22×D1111yescharacteristic
1011C2×C22⋊C4C22×D1111yescharacteristic
1012C2×C22⋊C4C22×D1111yescharacteristic
1013C2×C42—111no—
1014C2×C42—111no—
1015C2×C42—111no—
1016C2×C42—111no—
1017C2×C42—111no—
1018C2×C42—111no—
1019C2×C42C22×D1111yescharacteristic
1020C2×C42C22×D1111yescharacteristic
1021#95—111no—
1022#95—111no—
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#95C22×D1111yescharacteristic
1062#95C22×D1111yescharacteristic
1063#95C22×D1111yescharacteristic
1064#95C22×D1111yescharacteristic
1065#95C22×D1111yescharacteristic
1066#95C22×D1111yescharacteristic
1067#95C22×D1111yescharacteristic
1068#95C22×D1111yescharacteristic
1069#95C22×D1111yescharacteristic
1070#95C22×D1111yescharacteristic
1071#95C22×D1111yescharacteristic
1072#95C22×D1111yescharacteristic
1073C2×C11—24no—
1074C2×C11C2×#54111yescharacteristic
1075C2×C11#349011yescharacteristic
1076C2×C11#349211yescharacteristic
1077C2×C11#353611yescharacteristic
1078C2×C11#353611yescharacteristic
1079C2×C11#353811yescharacteristic
1080C2×C11#353811yescharacteristic
1081D11—42no—
1082D11—42no—
1083C24—111no—
1084C24—111no—
1085C24—222no—
1086C24—222no—
1087C24—222no—
1088C24—222no—
1089C24—222no—
1090C24—441no—
1091C24—441no—
1092C24C23×D1111yescharacteristic
1093C2×Q8—222no—
1094C2×Q8—222no—
1095C2×Q8—441no—
1096C2×Q8—441no—
1097C2×Q8—441no—
1098C2×Q8—441no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—41no—
1105C22×C4—41no—
1106C22×C4—41no—
1107C22×C4—41no—
1108C22×C4—111no—
1109C22×C4—111no—
1110C22×C4—114no—
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—111no—
1121C22×C4—111no—
1122C22×C4—111no—
1123C22×C4—222no—
1124C22×C4—222no—
1125C22×C4—222no—
1126C22×C4—222no—
1127C22×C4—222no—
1128C22×C4—222no—
1129C22×C4—222no—
1130C22×C4—222no—
1131C22×C4—222no—
1132C22×C4—222no—
1133C22×C4—441no—
1134C22×C4—441no—
1135C22×C4—441no—
1136C22×C4—441no—
1137C22×C4—4416no—
1138C22×C4—441no—
1139C22×C4—441no—
1140C22×C4—441no—
1141C22×C4—441no—
1142C22×C4—441no—
1143C22×C4—441no—
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
1153C22×C4C23×D1111yescharacteristic
1154C22×C4C23×D1111yescharacteristic
1155C22×C4C23×D1111yescharacteristic
1156C22×C4C23×D1111yescharacteristic
1157C22×C4C23×D1111yescharacteristic
1158C4⋊C4—22no—
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—22no—
1162C4⋊C4—22no—
1163C4⋊C4—22no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—222no—
1173C4⋊C4—222no—
1174C4⋊C4—222no—
1175C4⋊C4—222no—
1176C4⋊C4—222no—
1177C4⋊C4—222no—
1178C4⋊C4—222no—
1179C4⋊C4—222no—
1180C4⋊C4—222no—
1181C4⋊C4—222no—
1182C4⋊C4—222no—
1183C4⋊C4—222no—
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—
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—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
1212C22⋊C4—222no—
1213C22⋊C4—222no—
1214C22⋊C4—222no—
1215C22⋊C4—222no—
1216C22⋊C4—222no—
1217C22⋊C4—222no—
1218C22⋊C4—222no—
1219C22⋊C4—222no—
1220C22⋊C4—222no—
1221C22⋊C4—222no—
1222C22⋊C4—222no—
1223C22⋊C4—222no—
1224C22⋊C4—222no—
1225C22⋊C4—222no—
1226C22⋊C4—222no—
1227C22⋊C4—222no—
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—
1237C22⋊C4—441no—
1238C22⋊C4—441no—
1239C22⋊C4—441no—
1240C42—41no—
1241C42—41no—
1242C42—441no—
1243C42—441no—
1244C42—441no—
1245C42—441no—
1246C42—441no—
1247C42—441no—
1248C11#3672811yescharacteristic, complemented, Sylow
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—112no—
1254C23—112no—
1255C23—228no—
1256C23—221no—
1257C23—221no—
1258C23—221no—
1259C23—221no—
1260C23—221no—
1261C23—221no—
1262C23—221no—
1263C23—221no—
1264C23—221no—
1265C23—221no—
1266C23—221no—
1267C23—221no—
1268C23—444no—
1269C23—444no—
1270C23—444no—
1271C23—444no—
1272C23—444no—
1273C23—444no—
1274C23#6704012yes—
1275C23#41×D1112yes—
1276C23#6704312yes—
1277C23C24×D1111yescharacteristic
1278Q8—882no—
1279Q8—882no—
1280C2×C4—28no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
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—82no—
1322C2×C4—82no—
1323C2×C4—112no—
1324C2×C4—112no—
1325C2×C4—221no—
1326C2×C4—221no—
1327C2×C4—221no—
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—444no—
1366C2×C4—444no—
1367C2×C4—444no—
1368C2×C4—444no—
1369C2×C4—444no—
1370C2×C4—882no—
1371C2×C4—882no—
1372C2×C4#6703712yes—
1373C2×C4#6704212yes—
1374C22—22no—
1375C22—22no—
1376C22—22no—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—222no—
1381C22—222no—
1382C22—222no—
1383C22—222no—
1384C22—222no—
1385C22—222no—
1386C22—4416no—
1387C22—441no—
1388C22—441no—
1389C22—441no—
1390C22—441no—
1391C22—441no—
1392C22—441no—
1393C22—441no—
1394C22—441no—
1395C22#1062322714yes—
1396C22C2×#6703711yescharacteristic
1397C22C2×#6704011yescharacteristic
1398C22C2×#41×D1111yescharacteristic
1399C22C2×#6704211yescharacteristic
1400C22C2×#6704311yescharacteristic
1401C22D11×H(5,𝔽2)11yescharacteristic
1402C22D11×2−1+411yescharacteristic
1403C4—22no—
1404C4—22no—
1405C4—41no—
1406C4—41no—
1407C4—41no—
1408C4—41no—
1409C4—41no—
1410C4—41no—
1411C4—41no—
1412C4—41no—
1413C4—41no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—222no—
1418C4—222no—
1419C4—441no—
1420C4—441no—
1421C4—441no—
1422C4—441no—
1423C4—441no—
1424C4—441no—
1425C4—441no—
1426C4—441no—
1427C4—441no—
1428C4—441no—
1429C4—441no—
1430C4—441no—
1431C2—24no—
1432C2—442no—
1433C2—442no—
1434C2C2×#1062322711yescharacteristic
1435C2#1308229911yescharacteristic
1436C2#1308232111yescharacteristic
1437C2#1308283611yescharacteristic
1438C2#1308284411yescharacteristic
1439C2#1308285711yescharacteristic
1440C2#1308286211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2473C2
prime radicalC24×D11C23
hypercenter#2473D11
hypocenterC11#36728
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2473

Complements

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

NH ≅ G/Ntype
3. #13075822C2semidirect
4. #13075818C2semidirect
5. #13075814C2semidirect
6. #13075810C2semidirect
7. #13075527C2semidirect
8. #13075526C2semidirect
9. #13075525C2semidirect
10. #13075524C2semidirect
11. #13075280C2semidirect
12. #13075276C2semidirect
13. #13075272C2semidirect
14. #13075268C2semidirect
15. #13075088C2semidirect
16. #13075084C2semidirect
17. #13075080C2semidirect
18. #13075076C2semidirect
19. #13074733C2semidirect
20. #13074588C2semidirect
25. #13072756C2semidirect
26. #13072754C2semidirect
27. #13072751C2semidirect
28. #13071347C2semidirect
29. #13071344C2semidirect
31. C11×#2473C2semidirect
33. C2×C11×#125C22semidirect
45. C2×#66943C22semidirect
46. C2×#66942C22semidirect
47. C2×#66942C22semidirect
51. C11×#400C22semidirect
52. C11×#398C22semidirect
53. C11×#398C22semidirect
54. C11×#398C22semidirect
55. C11×#389C22semidirect
56. C11×#387C22semidirect
57. C11×#387C22semidirect
93. #10622599C22semidirect
94. #10622598C22semidirect
95. #10622597C22semidirect
96. #10622597C22semidirect
97. #10622597C22semidirect
98. #10622597C22semidirect
99. #10622597C22semidirect
100. #10622597C22semidirect
101. #10622596C22semidirect
102. #10622596C22semidirect
103. #10622596C22semidirect
104. #10622595C22semidirect
105. #10622595C22semidirect
106. #10622594C22semidirect
107. #10622594C22semidirect
108. #10622593C22semidirect
109. #10622593C22semidirect
110. #10622592C22semidirect
111. #10622592C22semidirect
112. #10622591C22semidirect
113. #10622591C22semidirect
114. #10622587C22semidirect
115. #10622586C22semidirect
116. #10622585C22semidirect
117. #10622585C22semidirect
135. #10622546C22semidirect
136. #10622546C22semidirect
137. #10622542C22semidirect
138. #10622541C22semidirect
163. #10622274C22semidirect
164. #10622274C22semidirect
165. #10622272C22semidirect
166. #10622272C22semidirect
167. #10622271C22semidirect
168. #10622271C22semidirect
169. #10622270C22semidirect
170. #10622270C22semidirect
171. #10622270C22semidirect
172. #10622270C22semidirect
173. #10622269C22semidirect
174. #10622269C22semidirect
175. #10622268C22semidirect
176. #10622268C22semidirect
177. #10622267C22semidirect
178. #10622267C22semidirect
179. #10622266C22semidirect
180. #10622266C22semidirect
181. #10622265C22semidirect
182. #10622265C22semidirect
183. #10622260C22semidirect
184. #10622260C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
556. #2473D11semidirect
693. C2×#125C2×D11semidirect
711. #400C2×D11semidirect
729. #398C2×D11semidirect
730. #398C2×D11semidirect
731. #398C2×D11semidirect
763. #389C2×D11semidirect
790. #387C2×D11semidirect
791. #387C2×D11semidirect
1248. C11#36728semidirect

Maximal subgroups

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

subgroupindex
#130769022
#130758222
#130758182
#130758142
#130758102
#130755272
#130755262
#130755252
#130755242
#130752802
#130752762
#130752722
#130752682
#130750882
#130750842
#130750802
#130750762
#130747332
#130745882
#130728692
#130728672
#130728642
#130728622
#130727562
#130727542
#130727512
#130713472
#130713442
C2×#106226002
C11×#24732
#3672811