Finite Group Databasebeta

← #14961162

Subgroups — #14961162

Order 2816.

2782 conjugacy classes of subgroups.

The subgroup lattice has 1912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623144C211yesmaximal, characteristic, complemented
2C2×#10623120C211yesmaximal, characteristic, complemented
3#13076958C211yesmaximal, characteristic, complemented
4#13076914C211yesmaximal, characteristic, complemented
5#13075464C211yesmaximal, characteristic, complemented
6#13075463C211yesmaximal, characteristic, complemented
7#13075365C211yesmaximal, characteristic, complemented
8#13075360C211yesmaximal, characteristic, complemented
9#13075311C211yesmaximal, characteristic, complemented
10#13075308C211yesmaximal, characteristic, complemented
11#13075255C211yesmaximal, characteristic, complemented
12#13075252C211yesmaximal, characteristic, complemented
13#13075006C211yesmaximal, characteristic, complemented
14#13075003C211yesmaximal, characteristic, complemented
15#13074944C211yesmaximal, characteristic, complemented
16#13074941C211yesmaximal, characteristic, complemented
17#13074843C211yesmaximal, characteristic, complemented
18#13074838C211yesmaximal, characteristic, complemented
19#13074829C211yesmaximal, characteristic, complemented
20#13074717C211yesmaximal, characteristic, complemented
21#13074547C211yesmaximal, characteristic, complemented
22#13073575C211yesmaximal, characteristic, complemented
23#13073571C211yesmaximal, characteristic, complemented
24#13072052C211yesmaximal, characteristic, complemented
25#13072049C211yesmaximal, characteristic, complemented
26#13071986C211yesmaximal, characteristic, complemented
27#13071986C211yesmaximal, characteristic, complemented
28#13071983C211yesmaximal, characteristic, complemented
29#13071983C211yesmaximal, characteristic, complemented
30D11×#388C211yesmaximal, characteristic, complemented
31C11×#2669C211yesmaximal, characteristic, complemented
32C23×C22⋊D11C2211yescharacteristic
33C22×D4×D11C2211yescharacteristic
34C2×C11×#127C2211yescharacteristic, complemented
35C2×C11×#121C2211yescharacteristic, complemented
36C2×C11×#121C2211yescharacteristic, complemented
37C2×C11×#120C2211yescharacteristic
38C2×C11×#120C2211yescharacteristic, complemented
39C2×C11×#120C2211yescharacteristic, complemented
40C2×#67006C2211yescharacteristic
41C2×#66992C2211yescharacteristic, complemented
42C2×#66992C2211yescharacteristic, complemented
43C2×#66991C2211yescharacteristic
44C2×#66991C2211yescharacteristic
45C2×#66991C2211yescharacteristic, complemented
46C2×#66991C2211yescharacteristic, complemented
47C2×#66991C2211yescharacteristic, complemented
48C2×#66991C2211yescharacteristic, complemented
49C2×#66991C2211yescharacteristic, complemented
50C2×#66991C2211yescharacteristic, complemented
51C2×#66991C2211yescharacteristic, complemented
52C2×#66990C2211yescharacteristic
53C2×#66990C2211yescharacteristic
54C2×#66990C2211yescharacteristic
55C2×#66990C2211yescharacteristic
56C2×#66990C2211yescharacteristic, complemented
57C2×#66990C2211yescharacteristic, complemented
58C2×#66989C2211yescharacteristic, complemented
59C2×#66988C2211yescharacteristic
60C2×#66988C2211yescharacteristic, complemented
61C2×#66982C2211yescharacteristic, complemented
62C2×C4×C22⋊D11C2211yescharacteristic, complemented
63#10623144—28no—
64#10623120—28no—
65C2×#66951C2211yescharacteristic, complemented
66C2×#66949C2211yescharacteristic, complemented
67C2×C4⋊C4×D11C2211yescharacteristic, complemented
68C2×#66939C2211yescharacteristic
69C2×#66938C2211yescharacteristic, complemented
70C2×#66938C2211yescharacteristic, complemented
71C2×#66937C2211yescharacteristic
72C2×#66937C2211yescharacteristic
73C2×#66937C2211yescharacteristic, complemented
74C2×#66937C2211yescharacteristic, complemented
75C2×#66936C2211yescharacteristic
76C2×#66936C2211yescharacteristic
77C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
78C2×C22⋊C4×D11C2211yescharacteristic
79C2×C22⋊C4×D11C2211yescharacteristic
80C2×C22⋊C4×D11C2211yescharacteristic
81C2×#66932C2211yescharacteristic, complemented
82C2×C42×D11C2211yescharacteristic, complemented
83C11×#394C2211yescharacteristic, complemented
84C11×#394C2211yescharacteristic, complemented
85C11×#392C2211yescharacteristic
86C11×#392C2211yescharacteristic
87C11×#392C2211yescharacteristic, complemented
88C11×#392C2211yescharacteristic, complemented
89C11×#388C2211yescharacteristic, complemented
90C11×#388C2211yescharacteristic, complemented
91C11×#386C2211yescharacteristic, complemented
92#10622860C2211yescharacteristic, complemented
93#10622860C2211yescharacteristic, complemented
94#10622836C2211yescharacteristic
95#10622836C2211yescharacteristic
96#10622836C2211yescharacteristic
97#10622836C2211yescharacteristic
98#10622836C2211yescharacteristic
99#10622836C2211yescharacteristic
100#10622836C2211yescharacteristic, complemented
101#10622836C2211yescharacteristic, complemented
102#10622836C2211yescharacteristic, complemented
103#10622836C2211yescharacteristic, complemented
104#10622835C2211yescharacteristic
105#10622835C2211yescharacteristic
106#10622835C2211yescharacteristic, complemented
107#10622835C2211yescharacteristic, complemented
108#10622835C2211yescharacteristic, complemented
109#10622835C2211yescharacteristic, complemented
110#10622834C2211yescharacteristic, complemented
111#10622834C2211yescharacteristic, complemented
112#10622834C2211yescharacteristic, complemented
113#10622834C2211yescharacteristic, complemented
114#10622834C2211yescharacteristic, complemented
115#10622834C2211yescharacteristic, complemented
116#10622834C2211yescharacteristic, complemented
117#10622833C2211yescharacteristic, complemented
118#10622833C2211yescharacteristic, complemented
119#10622833C2211yescharacteristic, complemented
120#10622833C2211yescharacteristic, complemented
121#10622826C2211yescharacteristic, complemented
122#10622825C2211yescharacteristic, complemented
123#10622607C2211yescharacteristic, complemented
124#10622603C2211yescharacteristic, complemented
125#10622603C2211yescharacteristic, complemented
126#10622599C2211yescharacteristic, complemented
127#10622598C2211yescharacteristic, complemented
128#10622574C2211yescharacteristic
129#10622574C2211yescharacteristic
130#10622574C2211yescharacteristic
131#10622574C2211yescharacteristic
132#10622574C2211yescharacteristic
133#10622574C2211yescharacteristic
134#10622574C2211yescharacteristic, complemented
135#10622572C2211yescharacteristic, complemented
136#10622570C2211yescharacteristic, complemented
137#10622570C2211yescharacteristic, complemented
138#10622569C2211yescharacteristic, complemented
139#10622569C2211yescharacteristic, complemented
140#10622569C2211yescharacteristic, complemented
141#10622569C2211yescharacteristic, complemented
142#10622569C2211yescharacteristic, complemented
143#10622569C2211yescharacteristic, complemented
144#10622569C2211yescharacteristic, complemented
145#10622569C2211yescharacteristic, complemented
146#10622568C2211yescharacteristic, complemented
147#10622568C2211yescharacteristic, complemented
148#10622566C2211yescharacteristic, complemented
149#10622565C2211yescharacteristic, complemented
150#10622565C2211yescharacteristic, complemented
151#10622565C2211yescharacteristic, complemented
152#10622564C2211yescharacteristic, complemented
153#10622564C2211yescharacteristic, complemented
154#10622564C2211yescharacteristic, complemented
155#10622563C2211yescharacteristic, complemented
156#10622563C2211yescharacteristic, complemented
157#10622562C2211yescharacteristic, complemented
158#10622562C2211yescharacteristic, complemented
159#10622562C2211yescharacteristic, complemented
160#10622561C2211yescharacteristic, complemented
161#10622561C2211yescharacteristic, complemented
162#10622561C2211yescharacteristic, complemented
163#10622560C2211yescharacteristic, complemented
164#10622560C2211yescharacteristic, complemented
165#10622558C2211yescharacteristic, complemented
166#10622558C2211yescharacteristic, complemented
167#10622557C2211yescharacteristic, complemented
168#10622557C2211yescharacteristic, complemented
169#10622555C2211yescharacteristic, complemented
170#10622553C2211yescharacteristic, complemented
171#10622553C2211yescharacteristic, complemented
172#10622548C2211yescharacteristic, complemented
173#10622290C2211yescharacteristic, complemented
174#10622283C2211yescharacteristic, complemented
175#10622283C2211yescharacteristic, complemented
176#10622282C2211yescharacteristic, complemented
177#10622281C2211yescharacteristic, complemented
178#10622281C2211yescharacteristic, complemented
179#10622278C2211yescharacteristic, complemented
180#10622278C2211yescharacteristic, complemented
181D11×#95C2211yescharacteristic, complemented
182D11×#95C2211yescharacteristic, complemented
183#10622274C2211yescharacteristic, complemented
184#10622272C2211yescharacteristic, complemented
185#10622270C2211yescharacteristic, complemented
186#10622263C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C24×D11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C22×D4×C11C2311yescharacteristic
200C22×D4×C11C2311yescharacteristic
201C22×D4×C11C2311yescharacteristic
202C22×D4×C11C2311yescharacteristic
203C22×D4×C11C2311yescharacteristic
204C23×C4×C11C2311yescharacteristic
205C22×C22⋊D11—24no—
206C22×C22⋊D11—42no—
207C22×C22⋊D11—42no—
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C22×C22⋊D11C2311yescharacteristic
212C22×C22⋊D11C2311yescharacteristic
213C22×C22⋊D11C2311yescharacteristic
214C22×C22⋊D11C2311yescharacteristic
215C22×C22⋊D11C2311yescharacteristic
216C22×C22⋊D11C2311yescharacteristic
217C22×C22⋊D11C2311yescharacteristic
218C22×C22⋊D11C2311yescharacteristic
219C22×C22⋊D11C2311yescharacteristic
220C22×C22⋊D11C2311yescharacteristic
221C22×C22⋊D11C2311yescharacteristic
222C23×Dic11C2311yescharacteristic
223C23×Dic11C2311yescharacteristic
224C2×D4×D11—24no—
225C2×D4×D11—42no—
226C2×D4×D11—42no—
227C22×D44C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×C4×D11C2311yescharacteristic
230C22×C4×D11C2311yescharacteristic
231C22×C4×D11C2311yescharacteristic
232C22×C4×D11C2311yescharacteristic
233C22×C4×D11C2311yescharacteristic
234C22×C4×D11C2311yescharacteristic
235C22×Dic22C2311yescharacteristic
236C11×#127—42no—
237C11×#121—24no—
238C11×#121—42no—
239C11×#120—24no—
240C11×#120—42no—
241C11×#120—42no—
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C11×C22⋊C4C2311yescharacteristic
254C2×C11×C22⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4C2311yescharacteristic
256C2×C11×C22⋊C4C2311yescharacteristic
257C2×C11×C22⋊C4C2311yescharacteristic
258C2×C42×C11C2311yescharacteristic
259#67006—24no—
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276C2×C22⋊Dic11C2311yescharacteristic
277C2×C22⋊Dic11C2311yescharacteristic
278C2×C22⋊Dic11C2311yescharacteristic
279C2×C22⋊Dic11C2311yescharacteristic
280C2×C22⋊Dic11C2311yescharacteristic
281C2×C22⋊Dic11C2311yescharacteristic
282C2×C22⋊Dic11C2311yescharacteristic
283C2×C22⋊Dic11C2311yescharacteristic
284C2×C22⋊Dic11C2311yescharacteristic
285C2×C22⋊Dic11C2311yescharacteristic
286C2×C22⋊Dic11C2311yescharacteristic
287C2×C22⋊Dic11C2311yescharacteristic
288C2×C22⋊Dic11C2311yescharacteristic
289C2×C22⋊Dic11C2311yescharacteristic
290#66992—24no—
291#66992—42no—
292#66991—24no—
293#66991—24no—
294#66991—24no—
295#66991—42no—
296#66991—42no—
297#66991—42no—
298#66991—42no—
299#66991—42no—
300#66991—42no—
301#66990—24no—
302#66990—24no—
303#66990—24no—
304#66990—24no—
305#66990—42no—
306#66990—42no—
307#66989—24no—
308#66988—24no—
309#66988—24no—
310#66982—24no—
311C4×C22⋊D11—24no—
312C2×(C2×D11)⋊C4C2311yescharacteristic
313C2×(C2×D11)⋊C4C2311yescharacteristic
314C2×(C2×D11)⋊C4C2311yescharacteristic
315C2×(C2×D11)⋊C4C2311yescharacteristic
316C2×(C2×D11)⋊C4C2311yescharacteristic
317C2×(C2×D11)⋊C4C2311yescharacteristic
318C2×(C2×D11)⋊C4C2311yescharacteristic
319C2×(C2×D11)⋊C4C2311yescharacteristic
320C2×(C2×D11)⋊C4C2311yescharacteristic
321C2×(C2×D11)⋊C4C2311yescharacteristic
322C2×(C2×D11)⋊C4C2311yescharacteristic
323C2×(C2×D11)⋊C4C2311yescharacteristic
324C2×(C2×D11)⋊C4C2311yescharacteristic
325C2×(C2×D11)⋊C4C2311yescharacteristic
326C2×(C2×D11)⋊C4C2311yescharacteristic
327C2×(C2×D11)⋊C4C2311yescharacteristic
328C2×(C2×D11)⋊C4C2311yescharacteristic
329C2×(C2×D11)⋊C4C2311yescharacteristic
330C2×C4⋊Dic11C2311yescharacteristic
331C2×C4⋊Dic11C2311yescharacteristic
332C2×C4⋊Dic11C2311yescharacteristic
333C2×C4⋊Dic11C2311yescharacteristic
334C2×C4⋊Dic11C2311yescharacteristic
335C2×C4⋊Dic11C2311yescharacteristic
336C2×C4⋊Dic11C2311yescharacteristic
337C2×C4⋊Dic11C2311yescharacteristic
338C2×C4⋊Dic11C2311yescharacteristic
339C2×C4⋊Dic11C2311yescharacteristic
340C2×Dic11⋊C4C2311yescharacteristic
341C2×Dic11⋊C4C2311yescharacteristic
342C2×Dic11⋊C4C2311yescharacteristic
343C2×Dic11⋊C4C2311yescharacteristic
344C2×Dic11⋊C4C2311yescharacteristic
345C2×Dic11⋊C4C2311yescharacteristic
346C2×Dic11⋊C4C2311yescharacteristic
347C2×Dic11⋊C4C2311yescharacteristic
348C2×Dic11⋊C4C2311yescharacteristic
349C2×Dic11⋊C4C2311yescharacteristic
350C2×C4×Dic11C2311yescharacteristic
351C2×C4×Dic11C2311yescharacteristic
352C2×C4×Dic11C2311yescharacteristic
353C2×C4×Dic11C2311yescharacteristic
354C2×C4×Dic11C2311yescharacteristic
355#66951—24no—
356#66949—24no—
357C4⋊C4×D11—42no—
358#66939—24no—
359#66938—24no—
360#66938—42no—
361#66937—24no—
362#66937—24no—
363#66937—42no—
364#66937—42no—
365#66936—24no—
366#66936—24no—
367(C22⋊D11)⋊C4—24no—
368C22⋊C4×D11—42no—
369C22⋊C4×D11—42no—
370C22⋊C4×D11D418yescomplemented
371#66932—24no—
372C42×D11—42no—
373C11×#95C2311yescharacteristic
374C11×#95C2311yescharacteristic
375C11×#95C2311yescharacteristic
376C11×#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391C11⋊#95C2311yescharacteristic
392C11⋊#95C2311yescharacteristic
393C11⋊#95C2311yescharacteristic
394C11⋊#95C2311yescharacteristic
395C11⋊#95C2311yescharacteristic
396C11⋊#95C2311yescharacteristic
397#36739—111nomaximal, Sylow
398C24×C11—22no—
399C24×C11—41no—
400C24×C11—41no—
401C24×C11—41no—
402C24×C11—41no—
403C24×C11—41no—
404C24×C11—41no—
405C24×C11C2411yescharacteristic
406C24×C11C2411yescharacteristic
407C24×C11C2411yescharacteristic
408C24×C11C2411yescharacteristic
409C24×C11C2411yescharacteristic
410C24×C11C2411yescharacteristic
411C23×D11—22no—
412C23×D11—22no—
413C23×D11—22no—
414C23×D11—41no—
415C23×D11—41no—
416C23×D11—41no—
417C23×D11—41no—
418C23×D11—41no—
419C23×D11—41no—
420C23×D11—41no—
421C23×D11—41no—
422C23×D11—41no—
423C23×D11—41no—
424C23×D11C2×D414yes—
425C23×D11C2411yescharacteristic
426C23×D11C2411yescharacteristic
427C23×D11C2411yescharacteristic
428C2×D4×C11—22no—
429C2×D4×C11—22no—
430C2×D4×C11—22no—
431C2×D4×C11—22no—
432C2×D4×C11—22no—
433C2×D4×C11—22no—
434C2×D4×C11—22no—
435C2×D4×C11—22no—
436C2×D4×C11—22no—
437C2×D4×C11—22no—
438C2×D4×C11—41no—
439C2×D4×C11—41no—
440C2×D4×C11—41no—
441C2×D4×C11—41no—
442C2×D4×C11—41no—
443C2×D4×C11—41no—
444C2×D4×C11—41no—
445C2×D4×C11—41no—
446C2×D4×C11—41no—
447C2×D4×C11—41no—
448C2×D4×C11—41no—
449C2×D4×C11—41no—
450C2×D4×C11—41no—
451C2×D4×C11—41no—
452C2×D4×C11—41no—
453C2×D4×C11—41no—
454C2×D4×C11—41no—
455C2×D4×C11—41no—
456C2×D4×C11—41no—
457C2×D4×C11—41no—
458C2×D4×C11—41no—
459C2×D4×C11—41no—
460C2×D4×C11—41no—
461C2×D4×C11—41no—
462C2×D4×C11—41no—
463C2×D4×C11—41no—
464C22×C4×C11—22no—
465C22×C4×C11—41no—
466C22×C4×C11—41no—
467C22×C4×C11C2411yescharacteristic
468C22×C4×C11C2411yescharacteristic
469C22×C4×C11C2411yescharacteristic
470C22×C4×C11C2411yescharacteristic
471C22×C4×C11C2411yescharacteristic
472C22×C4×C11C2411yescharacteristic
473C22×C4×C11C2411yescharacteristic
474C22×C4×C11C2411yescharacteristic
475C22×C4×C11C2411yescharacteristic
476C2×C22⋊D11—22no—
477C2×C22⋊D11—22no—
478C2×C22⋊D11—22no—
479C2×C22⋊D11—22no—
480C2×C22⋊D11—22no—
481C2×C22⋊D11—22no—
482C2×C22⋊D11—22no—
483C2×C22⋊D11—22no—
484C2×C22⋊D11—22no—
485C2×C22⋊D11—22no—
486C2×C22⋊D11—22no—
487C2×C22⋊D11—22no—
488C2×C22⋊D11—22no—
489C2×C22⋊D11—22no—
490C2×C22⋊D11—22no—
491C2×C22⋊D11—22no—
492C2×C22⋊D11—22no—
493C2×C22⋊D11—22no—
494C2×C22⋊D11—22no—
495C2×C22⋊D11—22no—
496C2×C22⋊D11—22no—
497C2×C22⋊D11—22no—
498C2×C22⋊D11—41no—
499C2×C22⋊D11—41no—
500C2×C22⋊D11—41no—
501C2×C22⋊D11—41no—
502C2×C22⋊D11—41no—
503C2×C22⋊D11—41no—
504C2×C22⋊D11—41no—
505C2×C22⋊D11—41no—
506C2×C22⋊D11—41no—
507C2×C22⋊D11—41no—
508C2×C22⋊D11—41no—
509C2×C22⋊D11—41no—
510C2×C22⋊D11—41no—
511C2×C22⋊D11—41no—
512C2×C22⋊D11—41no—
513C2×C22⋊D11—41no—
514C2×C22⋊D11—41no—
515C2×C22⋊D11—41no—
516C2×C22⋊D11—41no—
517C2×C22⋊D11—41no—
518C2×C22⋊D11—416no—
519C22×Dic11—22no—
520C22×Dic11—22no—
521C22×Dic11—41no—
522C22×Dic11—41no—
523C22×Dic11—41no—
524C22×Dic11—41no—
525C22×Dic11C2411yescharacteristic
526C22×Dic11C2411yescharacteristic
527C22×Dic11C2411yescharacteristic
528C22×Dic11C2411yescharacteristic
529C22×Dic11C2411yescharacteristic
530C22×Dic11C2411yescharacteristic
531C22×Dic11C2411yescharacteristic
532C22×Dic11C2411yescharacteristic
533C22×Dic11C2411yescharacteristic
534C22×Dic11C2411yescharacteristic
535C22×Dic11C2411yescharacteristic
536C22×Dic11C2411yescharacteristic
537C22×Dic11C2411yescharacteristic
538D4×D11—416no—
539C2×D44—22no—
540C2×D44—22no—
541C2×D44—22no—
542C2×C4×D11—22no—
543C2×C4×D11—22no—
544C2×C4×D11—22no—
545C2×C4×D11—22no—
546C2×C4×D11—22no—
547C2×C4×D11—22no—
548C2×C4×D11—22no—
549C2×C4×D11—41no—
550C2×C4×D11—41no—
551C2×C4×D11—41no—
552C2×C4×D11—41no—
553C2×C4×D11—41no—
554C2×C4×D11—41no—
555C2×C4×D11—41no—
556C2×C4×D11—41no—
557C2×C4×D11—41no—
558C2×C4×D11—41no—
559C2×C4×D11—41no—
560C2×C4×D11—41no—
561C2×C4×D11C2×D414yes—
562C2×C4×D11C2×D414yes—
563C2×Dic22—22no—
564C2×Dic22—41no—
565C2×Dic22—41no—
566C11×C4⋊C4—22no—
567C11×C4⋊C4—22no—
568C11×C22⋊C4—22no—
569C11×C22⋊C4—22no—
570C11×C22⋊C4—22no—
571C11×C22⋊C4—22no—
572C11×C22⋊C4—22no—
573C11×C22⋊C4—22no—
574C11×C22⋊C4—22no—
575C11×C22⋊C4—41no—
576C11×C22⋊C4—41no—
577C11×C22⋊C4—41no—
578C11×C22⋊C4—41no—
579C11×C22⋊C4—41no—
580C11×C22⋊C4—41no—
581C11×C22⋊C4C2×D414yes—
582C42×C11—22no—
583C22⋊Dic11—22no—
584C22⋊Dic11—22no—
585C22⋊Dic11—22no—
586C22⋊Dic11—22no—
587C22⋊Dic11—22no—
588C22⋊Dic11—22no—
589C22⋊Dic11—22no—
590C22⋊Dic11—22no—
591C22⋊Dic11—22no—
592C22⋊Dic11—41no—
593C22⋊Dic11—41no—
594C22⋊Dic11—41no—
595C22⋊Dic11—41no—
596C22⋊Dic11—41no—
597C22⋊Dic11—41no—
598C22⋊Dic11—41no—
599C22⋊Dic11—41no—
600C22⋊Dic11—41no—
601C22⋊Dic11—41no—
602C22⋊Dic11—41no—
603C22⋊Dic11—41no—
604C22⋊Dic11—41no—
605C22⋊Dic11—41no—
606C22⋊Dic11—41no—
607C22⋊Dic11—41no—
608C22⋊Dic11—41no—
609C22⋊Dic11—41no—
610C22⋊Dic11—41no—
611C22⋊Dic11—41no—
612C22⋊Dic11C2×D414yes—
613(C2×D11)⋊C4—22no—
614(C2×D11)⋊C4—22no—
615(C2×D11)⋊C4—22no—
616(C2×D11)⋊C4—22no—
617(C2×D11)⋊C4—22no—
618(C2×D11)⋊C4—22no—
619(C2×D11)⋊C4—22no—
620(C2×D11)⋊C4—22no—
621(C2×D11)⋊C4—22no—
622(C2×D11)⋊C4—22no—
623(C2×D11)⋊C4—41no—
624(C2×D11)⋊C4—41no—
625(C2×D11)⋊C4—41no—
626(C2×D11)⋊C4—41no—
627(C2×D11)⋊C4—41no—
628(C2×D11)⋊C4—41no—
629(C2×D11)⋊C4C2×D414yes—
630(C2×D11)⋊C4C2×D414yes—
631C4⋊Dic11—22no—
632C4⋊Dic11—22no—
633C4⋊Dic11—22no—
634C4⋊Dic11—41no—
635C4⋊Dic11—41no—
636C4⋊Dic11—41no—
637C4⋊Dic11—41no—
638C4⋊Dic11—41no—
639C4⋊Dic11—41no—
640C4⋊Dic11—41no—
641Dic11⋊C4—22no—
642Dic11⋊C4—22no—
643Dic11⋊C4—22no—
644Dic11⋊C4—22no—
645Dic11⋊C4—22no—
646Dic11⋊C4—22no—
647Dic11⋊C4—22no—
648Dic11⋊C4—41no—
649Dic11⋊C4—41no—
650Dic11⋊C4—41no—
651C4×Dic11—22no—
652C4×Dic11—22no—
653C4×Dic11—22no—
654C4×Dic11—41no—
655C4×Dic11—41no—
656C2×#538—111no—
657C2×#534—111no—
658#2856—111no—
659#2850—111no—
660#2718—111no—
661#2718—111no—
662#2710—111no—
663#2710—111no—
664#2706—111no—
665#2706—111no—
666#2703—111no—
667#2703—111no—
668#2685—111no—
669#2685—111no—
670#2678—111no—
671#2678—111no—
672#2670—111no—
673#2670—111no—
674#2669—111no—
675#2669D1111yescharacteristic, complemented
676#2656—111no—
677#2639—111no—
678#2543—111no—
679#2543—111no—
680#2416—111no—
681#2416—111no—
682#2410—111no—
683#2410—111no—
684#2410—111no—
685#2410—111no—
686C2×#388—111no—
687C23×C11—21no—
688C23×C11—21no—
689C23×C11—21no—
690C23×C11—21no—
691C23×C11—21no—
692C23×C11—21no—
693C23×C11—21no—
694C23×C11—21no—
695C23×C11—21no—
696C23×C11—21no—
697C23×C11—21no—
698C23×C11—21no—
699C23×C11—21no—
700C23×C11—21no—
701C23×C11—21no—
702C23×C11—21no—
703C23×C11—21no—
704C23×C11—21no—
705C23×C11—21no—
706C23×C11—21no—
707C23×C11—21no—
708C23×C11—21no—
709C23×C11—21no—
710C23×C11—21no—
711C23×C11—21no—
712C23×C11—21no—
713C23×C11—21no—
714C23×C11—21no—
715C23×C11—21no—
716C23×C11—21no—
717C23×C11—21no—
718C23×C11—21no—
719C23×C11—21no—
720C23×C11—21no—
721C23×C11—21no—
722C23×C11—21no—
723C23×C11—21no—
724C23×C11—21no—
725C23×C11—21no—
726C23×C11—21no—
727C23×C11—21no—
728C23×C11—44no—
729C23×C11—82no—
730C23×C11—82no—
731C23×C11—82no—
732C23×C11—82no—
733C23×C11—82no—
734C23×C11—82no—
735C23×C11C22×D412yes—
736C23×C11C2511yescharacteristic
737C22×D11—21no—
738C22×D11—21no—
739C22×D11—21no—
740C22×D11—21no—
741C22×D11—21no—
742C22×D11—21no—
743C22×D11—21no—
744C22×D11—21no—
745C22×D11—21no—
746C22×D11—21no—
747C22×D11—28no—
748C22×D11—21no—
749C22×D11—21no—
750C22×D11—21no—
751C22×D11—21no—
752C22×D11—21no—
753C22×D11—21no—
754C22×D11—21no—
755C22×D11—44no—
756C22×D11—44no—
757C22×D11—44no—
758C22×D11—82no—
759C22×D11—82no—
760C22×D11—82no—
761C22×D11—82no—
762C22×D11—82no—
763C22×D11—82no—
764C22×D11—82no—
765C22×D11—82no—
766C22×D11—82no—
767C22×D11—82no—
768C22×D11C22×D412yes—
769C22×D11C22×D412yes—
770C22×D11H(5,𝔽2)12yes—
771C22×D11H(5,𝔽2)12yes—
772D4×C11—44no—
773D4×C11—82no—
774D4×C11—82no—
775D4×C11—82no—
776D4×C11—82no—
777D4×C11—82no—
778D4×C11—82no—
779D4×C11—82no—
780D4×C11—82no—
781D4×C11—82no—
782D4×C11—82no—
783D4×C11—82no—
784C2×C4×C11—21no—
785C2×C4×C11—21no—
786C2×C4×C11—21no—
787C2×C4×C11—21no—
788C2×C4×C11—21no—
789C2×C4×C11—21no—
790C2×C4×C11—21no—
791C2×C4×C11—21no—
792C2×C4×C11—21no—
793C2×C4×C11—21no—
794C2×C4×C11—21no—
795C2×C4×C11—21no—
796C2×C4×C11—21no—
797C2×C4×C11—21no—
798C2×C4×C11—21no—
799C2×C4×C11—21no—
800C2×C4×C11—21no—
801C2×C4×C11—21no—
802C2×C4×C11—21no—
803C2×C4×C11—21no—
804C2×C4×C11—21no—
805C2×C4×C11—21no—
806C2×C4×C11—21no—
807C2×C4×C11—82no—
808C2×C4×C11C22×D412yes—
809C2×C4×C11C22×D412yes—
810C2×C4×C11H(5,𝔽2)12yes—
811C2×C4×C11H(5,𝔽2)12yes—
812C22⋊D11—44no—
813C22⋊D11—44no—
814C22⋊D11—44no—
815C22⋊D11—44no—
816C22⋊D11—44no—
817C22⋊D11—44no—
818C22⋊D11—44no—
819C22⋊D11—44no—
820C22⋊D11—82no—
821C22⋊D11—82no—
822C22⋊D11—82no—
823C22⋊D11—82no—
824C22⋊D11—82no—
825C22⋊D11—82no—
826C2×Dic11—21no—
827C2×Dic11—21no—
828C2×Dic11—21no—
829C2×Dic11—21no—
830C2×Dic11—21no—
831C2×Dic11—21no—
832C2×Dic11—21no—
833C2×Dic11—21no—
834C2×Dic11—21no—
835C2×Dic11—21no—
836C2×Dic11—21no—
837C2×Dic11—21no—
838C2×Dic11—21no—
839C2×Dic11—21no—
840C2×Dic11—21no—
841C2×Dic11—21no—
842C2×Dic11—21no—
843C2×Dic11—21no—
844C2×Dic11—21no—
845C2×Dic11—21no—
846C2×Dic11—21no—
847C2×Dic11—21no—
848C2×Dic11—21no—
849C2×Dic11—21no—
850C2×Dic11—21no—
851C2×Dic11—21no—
852C2×Dic11—21no—
853C2×Dic11—21no—
854C2×Dic11—21no—
855C2×Dic11—21no—
856C2×Dic11—21no—
857C2×Dic11—21no—
858C2×Dic11—21no—
859C2×Dic11—21no—
860C2×Dic11—21no—
861C2×Dic11—21no—
862C2×Dic11—21no—
863C2×Dic11—44no—
864C2×Dic11—82no—
865C2×Dic11C22×D412yes—
866C2×Dic11C22×D412yes—
867D44—44no—
868C4×D11—44no—
869C4×D11—44no—
870C4×D11—44no—
871C4×D11—44no—
872C4×D11—44no—
873C4×D11—82no—
874C4×D11—82no—
875Dic22—82no—
876C23×D4—111no—
877C23×D4—111no—
878#538—228no—
879#534—228no—
880C2×#127C2×D1111yescharacteristic, complemented
881C2×#126—111no—
882C2×#126—111no—
883C2×#124—111no—
884C2×#124—111no—
885C2×#124—111no—
886C2×#123—111no—
887C2×#123—111no—
888C2×#123—111no—
889C2×#123—111no—
890C2×#123—111no—
891C2×#123—111no—
892C2×C22⋊Q8—111no—
893C2×#121—111no—
894C2×#121—111no—
895C2×#121—111no—
896C2×#121—111no—
897C2×#121—111no—
898C2×#121—111no—
899C2×#121—111no—
900C2×#121—111no—
901C2×#121—111no—
902C2×#121—111no—
903C2×#121—111no—
904C2×#121—111no—
905C2×#121—111no—
906C2×#121—111no—
907C2×#121—111no—
908C2×#121C2×D1111yescharacteristic, complemented
909C2×#121C2×D1111yescharacteristic, complemented
910C2×#120—111no—
911C2×#120—111no—
912C2×#120—111no—
913C2×#120—111no—
914C2×#120—111no—
915C2×#120—111no—
916C2×#120—111no—
917C2×#120C2×D1111yescharacteristic
918C2×#120C2×D1111yescharacteristic, complemented
919C2×#120C2×D1111yescharacteristic, complemented
920C2×C4×D4—111no—
921C2×C4×D4—111no—
922C22×C4⋊C4—111no—
923C22×C22⋊C4—111no—
924C22×C22⋊C4—111no—
925C22×C22⋊C4—111no—
926C22×C42—111no—
927#400—111no—
928#400—111no—
929#399—111no—
930#399—111no—
931#399—111no—
932#399—111no—
933#398—111no—
934#398—111no—
935#397—111no—
936#397—111no—
937#397—111no—
938#397—111no—
939#396—111no—
940#396—111no—
941#396—111no—
942#396—111no—
943#394—111no—
944#394—111no—
945#394—111no—
946#394—111no—
947#394—111no—
948#394—111no—
949#394—111no—
950#394—111no—
951#394—111no—
952#394—111no—
953#394—111no—
954#394—111no—
955#394—111no—
956#394—111no—
957#394C2×D1111yescharacteristic, complemented
958#394C2×D1111yescharacteristic, complemented
959#393—111no—
960#393—111no—
961#392—111no—
962#392—111no—
963#392—111no—
964#392—111no—
965#392—111no—
966#392—111no—
967#392—111no—
968#392—111no—
969#392—111no—
970#392—111no—
971#392C2×D1111yescharacteristic
972#392C2×D1111yescharacteristic
973#392C2×D1111yescharacteristic, complemented
974#392C2×D1111yescharacteristic, complemented
975#391—111no—
976#390—111no—
977#390—111no—
978#390—111no—
979#390—111no—
980#390—111no—
981#390—111no—
982#390—111no—
983#390—111no—
984#390—111no—
985#389—111no—
986#389—111no—
987#388—111no—
988#388—111no—
989#388—111no—
990#388—111no—
991#388—111no—
992#388—111no—
993#388—111no—
994#388—111no—
995#388—111no—
996#388—111no—
997#388—111no—
998#388—111no—
999#388—111no—
1000#388—111no—
1001#388C2×D1111yescharacteristic, complemented
1002#388C2×D1111yescharacteristic, complemented
1003#386—111no—
1004#386—111no—
1005#386—111no—
1006#386—111no—
1007#386—111no—
1008#386—111no—
1009#386—111no—
1010#386—111no—
1011#386—111no—
1012#386—111no—
1013#386—111no—
1014#386—111no—
1015#386—111no—
1016#386—111no—
1017#386—111no—
1018#386C2×D1111yescharacteristic, complemented
1019#385—111no—
1020#385—111no—
1021#385—111no—
1022#385—111no—
1023#384—111no—
1024#382—111no—
1025#380—111no—
1026#380—111no—
1027#379—111no—
1028#379—111no—
1029#379—111no—
1030#379—111no—
1031C2×#95—111no—
1032C2×#95—111no—
1033C22×C11—22no—
1034C22×C11—22no—
1035C22×C11—22no—
1036C22×C11—41no—
1037C22×C11—41no—
1038C22×C11—41no—
1039C22×C11—41no—
1040C22×C11—41no—
1041C22×C11—41no—
1042C22×C11—41no—
1043C22×C11—41no—
1044C22×C11—41no—
1045C22×C11—41no—
1046C22×C11—41no—
1047C22×C11—41no—
1048C22×C11—41no—
1049C22×C11—41no—
1050C22×C11—41no—
1051C22×C11—41no—
1052C22×C11—41no—
1053C22×C11—41no—
1054C22×C11—41no—
1055C22×C11—41no—
1056C22×C11—41no—
1057C22×C11—41no—
1058C22×C11—41no—
1059C22×C11—41no—
1060C22×C11—41no—
1061C22×C11—41no—
1062C22×C11—41no—
1063C22×C11—41no—
1064C22×C11—41no—
1065C22×C11—41no—
1066C22×C11—41no—
1067C22×C11—41no—
1068C22×C11—41no—
1069C22×C11—41no—
1070C22×C11—41no—
1071C22×C11—41no—
1072C22×C11—41no—
1073C22×C11—41no—
1074C22×C11—41no—
1075C22×C11—88no—
1076C22×C11C23×D411yescharacteristic
1077C22×C11C2×H(5,𝔽2)11yescharacteristic
1078C22×C11C2×H(5,𝔽2)11yescharacteristic
1079C22×C11C2×H(5,𝔽2)11yescharacteristic
1080C22×C11C2×H(5,𝔽2)11yescharacteristic
1081C22×C11#58511yescharacteristic
1082C22×C11#58511yescharacteristic
1083C2×D11—22no—
1084C2×D11—22no—
1085C2×D11—22no—
1086C2×D11—22no—
1087C2×D11—22no—
1088C2×D11—22no—
1089C2×D11—22no—
1090C2×D11—22no—
1091C2×D11—22no—
1092C2×D11—41no—
1093C2×D11—41no—
1094C2×D11—41no—
1095C2×D11—41no—
1096C2×D11—41no—
1097C2×D11—41no—
1098C2×D11—41no—
1099C2×D11—41no—
1100C2×D11—41no—
1101C2×D11—41no—
1102C2×D11—41no—
1103C2×D11—88no—
1104C2×D11—88no—
1105C2×D11#53514yes—
1106C4×C11—22no—
1107C4×C11—22no—
1108C4×C11—22no—
1109C4×C11—22no—
1110C4×C11—41no—
1111C4×C11—41no—
1112C4×C11—41no—
1113C4×C11—41no—
1114C4×C11—41no—
1115Dic11—22no—
1116Dic11—22no—
1117Dic11—41no—
1118Dic11—41no—
1119Dic11—41no—
1120Dic11—41no—
1121Dic11—41no—
1122Dic11—41no—
1123Dic11—41no—
1124Dic11—41no—
1125Dic11—41no—
1126Dic11—41no—
1127Dic11—41no—
1128C25—111no—
1129C25—111no—
1130C25C22×D1111yescharacteristic
1131C22×Q8—111no—
1132C22×D4—111no—
1133C22×D4—111no—
1134C22×D4—111no—
1135C22×D4—111no—
1136C22×D4—111no—
1137C22×D4—111no—
1138C22×D4—111no—
1139C22×D4—111no—
1140C22×D4—111no—
1141C22×D4—111no—
1142C22×D4—111no—
1143C22×D4—111no—
1144C22×D4—111no—
1145C22×D4—111no—
1146C22×D4—111no—
1147C22×D4—224no—
1148C22×D4—224no—
1149C22×D4—442no—
1150C22×D4—442no—
1151C22×D4—442no—
1152C22×D4—442no—
1153C22×D4C22×D1111yescharacteristic
1154C22×D4C22×D1111yescharacteristic
1155C22×D4C22×D1111yescharacteristic
1156C22×D4C22×D1111yescharacteristic
1157C22×D4C22×D1111yescharacteristic
1158C22×D4C22×D1111yescharacteristic
1159C22×D4C22×D1111yescharacteristic
1160C22×D4C22×D1111yescharacteristic
1161C22×D4C22×D1111yescharacteristic
1162C22×D4C22×D1111yescharacteristic
1163C22×D4C22×D1111yescharacteristic
1164C22×D4C22×D1111yescharacteristic
1165C23×C4—111no—
1166C23×C4—111no—
1167C23×C4—111no—
1168C23×C4—111no—
1169C23×C4—111no—
1170C23×C4—111no—
1171C23×C4—111no—
1172C23×C4—111no—
1173C23×C4—111no—
1174C23×C4C22×D1111yescharacteristic
1175#127—42no—
1176#126—224no—
1177#126—224no—
1178#124—224no—
1179#124—224no—
1180#124—442no—
1181#123—224no—
1182#123—224no—
1183#123—224no—
1184#123—224no—
1185#123—224no—
1186#123—224no—
1187C22⋊Q8—224no—
1188#121—24no—
1189#121—42no—
1190#121—224no—
1191#121—224no—
1192#121—224no—
1193#121—224no—
1194#121—224no—
1195#121—224no—
1196#121—442no—
1197#121—442no—
1198#121—442no—
1199#121—442no—
1200#121—442no—
1201#121—442no—
1202#121—442no—
1203#121—442no—
1204#121—442no—
1205#120—24no—
1206#120—42no—
1207#120—42no—
1208#120—224no—
1209#120—224no—
1210#120—224no—
1211#120—224no—
1212#120—224no—
1213#120—442no—
1214#120—442no—
1215C4×D4—224no—
1216C4×D4—224no—
1217C2×C4⋊C4—111no—
1218C2×C4⋊C4—111no—
1219C2×C4⋊C4—111no—
1220C2×C4⋊C4—111no—
1221C2×C4⋊C4—111no—
1222C2×C4⋊C4—111no—
1223C2×C4⋊C4—111no—
1224C2×C4⋊C4—111no—
1225C2×C4⋊C4—111no—
1226C2×C4⋊C4—111no—
1227C2×C4⋊C4—111no—
1228C2×C4⋊C4—111no—
1229C2×C4⋊C4—111no—
1230C2×C4⋊C4—111no—
1231C2×C4⋊C4—111no—
1232C2×C4⋊C4—111no—
1233C2×C4⋊C4—111no—
1234C2×C4⋊C4—111no—
1235C2×C4⋊C4—111no—
1236C2×C4⋊C4—111no—
1237C2×C4⋊C4—442no—
1238C2×C4⋊C4C22×D1111yescharacteristic
1239C2×C4⋊C4C22×D1111yescharacteristic
1240C2×C22⋊C4—111no—
1241C2×C22⋊C4—111no—
1242C2×C22⋊C4—111no—
1243C2×C22⋊C4—118no—
1244C2×C22⋊C4—111no—
1245C2×C22⋊C4—111no—
1246C2×C22⋊C4—111no—
1247C2×C22⋊C4—111no—
1248C2×C22⋊C4—111no—
1249C2×C22⋊C4—111no—
1250C2×C22⋊C4—111no—
1251C2×C22⋊C4—111no—
1252C2×C22⋊C4—111no—
1253C2×C22⋊C4—111no—
1254C2×C22⋊C4—111no—
1255C2×C22⋊C4—111no—
1256C2×C22⋊C4—111no—
1257C2×C22⋊C4—111no—
1258C2×C22⋊C4—111no—
1259C2×C22⋊C4—111no—
1260C2×C22⋊C4—111no—
1261C2×C22⋊C4—111no—
1262C2×C22⋊C4—111no—
1263C2×C22⋊C4—111no—
1264C2×C22⋊C4—111no—
1265C2×C22⋊C4—111no—
1266C2×C22⋊C4—111no—
1267C2×C22⋊C4—111no—
1268C2×C22⋊C4—111no—
1269C2×C22⋊C4—111no—
1270C2×C22⋊C4—111no—
1271C2×C22⋊C4—111no—
1272C2×C22⋊C4—111no—
1273C2×C22⋊C4—111no—
1274C2×C22⋊C4—111no—
1275C2×C22⋊C4—111no—
1276C2×C22⋊C4—111no—
1277C2×C22⋊C4—111no—
1278C2×C22⋊C4—111no—
1279C2×C22⋊C4—111no—
1280C2×C22⋊C4—111no—
1281C2×C22⋊C4—111no—
1282C2×C22⋊C4—111no—
1283C2×C22⋊C4—111no—
1284C2×C22⋊C4—111no—
1285C2×C22⋊C4—111no—
1286C2×C22⋊C4—111no—
1287C2×C22⋊C4—111no—
1288C2×C22⋊C4—111no—
1289C2×C22⋊C4—442no—
1290C2×C22⋊C4—442no—
1291C2×C22⋊C4C22×D1111yescharacteristic
1292C2×C22⋊C4C22×D1111yescharacteristic
1293C2×C22⋊C4C22×D1111yescharacteristic
1294C2×C22⋊C4C22×D1111yescharacteristic
1295C2×C22⋊C4C22×D1111yescharacteristic
1296C2×C22⋊C4C22×D1111yescharacteristic
1297C2×C22⋊C4C22×D1111yescharacteristic
1298C2×C22⋊C4C22×D1111yescharacteristic
1299C2×C22⋊C4C22×D1111yescharacteristic
1300C2×C22⋊C4C22×D1111yescharacteristic
1301C2×C22⋊C4C22×D1111yescharacteristic
1302C2×C22⋊C4C22×D1111yescharacteristic
1303C2×C22⋊C4C22×D1111yescharacteristic
1304C2×C22⋊C4C22×D1111yescharacteristic
1305C2×C42—111no—
1306C2×C42—111no—
1307C2×C42—111no—
1308C2×C42—111no—
1309C2×C42—111no—
1310C2×C42—442no—
1311C2×C42C22×D1111yescharacteristic
1312#95—111no—
1313#95—111no—
1314#95—111no—
1315#95—111no—
1316#95—111no—
1317#95—111no—
1318#95—111no—
1319#95—111no—
1320#95—111no—
1321#95—111no—
1322#95—111no—
1323#95—111no—
1324#95—111no—
1325#95—111no—
1326#95—111no—
1327#95—111no—
1328#95—111no—
1329#95—111no—
1330#95—111no—
1331#95—111no—
1332#95C22×D1111yescharacteristic
1333#95C22×D1111yescharacteristic
1334#95C22×D1111yescharacteristic
1335#95C22×D1111yescharacteristic
1336C2×C11—42no—
1337C2×C11—81no—
1338C2×C11—81no—
1339C2×C11—81no—
1340C2×C11—81no—
1341C2×C11—81no—
1342C2×C11C2×#53511yescharacteristic
1343C2×C11#349611yescharacteristic
1344C2×C11#349611yescharacteristic
1345C2×C11#353411yescharacteristic
1346C2×C11#353711yescharacteristic
1347C2×C11#355811yescharacteristic
1348C2×C11#356011yescharacteristic
1349D11—24no—
1350D11—42no—
1351D11—81no—
1352C24—22no—
1353C24—41no—
1354C24—41no—
1355C24—41no—
1356C24—41no—
1357C24—41no—
1358C24—41no—
1359C24—111no—
1360C24—111no—
1361C24—114no—
1362C24—111no—
1363C24—222no—
1364C24—222no—
1365C24—222no—
1366C24—441no—
1367C24—441no—
1368C24—441no—
1369C24—441no—
1370C24—441no—
1371C24—441no—
1372C24—441no—
1373C24—441no—
1374C24—441no—
1375C24—441no—
1376C24C23×D1111yescharacteristic
1377C24C23×D1111yescharacteristic
1378C24C23×D1111yescharacteristic
1379C24C23×D1111yescharacteristic
1380C24C23×D1111yescharacteristic
1381C24C23×D1111yescharacteristic
1382C2×Q8—222no—
1383C2×Q8—441no—
1384C2×Q8—441no—
1385C2×D4—22no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—41no—
1396C2×D4—41no—
1397C2×D4—41no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4—41no—
1420C2×D4—41no—
1421C2×D4—222no—
1422C2×D4—222no—
1423C2×D4—222no—
1424C2×D4—222no—
1425C2×D4—222no—
1426C2×D4—222no—
1427C2×D4—222no—
1428C2×D4—222no—
1429C2×D4—222no—
1430C2×D4—222no—
1431C2×D4—222no—
1432C2×D4—222no—
1433C2×D4—222no—
1434C2×D4—222no—
1435C2×D4—222no—
1436C2×D4—222no—
1437C2×D4—222no—
1438C2×D4—222no—
1439C2×D4—222no—
1440C2×D4—222no—
1441C2×D4—222no—
1442C2×D4—222no—
1443C2×D4—222no—
1444C2×D4—222no—
1445C2×D4—222no—
1446C2×D4—441no—
1447C2×D4—441no—
1448C2×D4—441no—
1449C2×D4—441no—
1450C2×D4—441no—
1451C2×D4—441no—
1452C2×D4—441no—
1453C2×D4—441no—
1454C2×D4—441no—
1455C2×D4—441no—
1456C2×D4—441no—
1457C2×D4—441no—
1458C2×D4—441no—
1459C2×D4—441no—
1460C2×D4—441no—
1461C2×D4—441no—
1462C2×D4—441no—
1463C2×D4—441no—
1464C2×D4—441no—
1465C2×D4—441no—
1466C2×D4—4416no—
1467C2×D4—4416no—
1468C22×C4—22no—
1469C22×C4—41no—
1470C22×C4—41no—
1471C22×C4—111no—
1472C22×C4—111no—
1473C22×C4—114no—
1474C22×C4—114no—
1475C22×C4—111no—
1476C22×C4—111no—
1477C22×C4—111no—
1478C22×C4—111no—
1479C22×C4—111no—
1480C22×C4—111no—
1481C22×C4—111no—
1482C22×C4—111no—
1483C22×C4—111no—
1484C22×C4—111no—
1485C22×C4—111no—
1486C22×C4—222no—
1487C22×C4—222no—
1488C22×C4—222no—
1489C22×C4—222no—
1490C22×C4—222no—
1491C22×C4—222no—
1492C22×C4—222no—
1493C22×C4—222no—
1494C22×C4—222no—
1495C22×C4—441no—
1496C22×C4—441no—
1497C22×C4—441no—
1498C22×C4—441no—
1499C22×C4—441no—
1500C22×C4—441no—
1501C22×C4—441no—
1502C22×C4—441no—
1503C22×C4—441no—
1504C22×C4—441no—
1505C22×C4—441no—
1506C22×C4—441no—
1507C22×C4—441no—
1508C22×C4—441no—
1509C22×C4—441no—
1510C22×C4—441no—
1511C22×C4C23×D1111yescharacteristic
1512C22×C4C23×D1111yescharacteristic
1513C22×C4C23×D1111yescharacteristic
1514C22×C4C23×D1111yescharacteristic
1515C22×C4C23×D1111yescharacteristic
1516C22×C4C23×D1111yescharacteristic
1517C22×C4C23×D1111yescharacteristic
1518C22×C4C23×D1111yescharacteristic
1519C22×C4C23×D1111yescharacteristic
1520C4⋊C4—22no—
1521C4⋊C4—22no—
1522C4⋊C4—222no—
1523C4⋊C4—222no—
1524C4⋊C4—222no—
1525C4⋊C4—222no—
1526C4⋊C4—222no—
1527C4⋊C4—222no—
1528C4⋊C4—222no—
1529C4⋊C4—222no—
1530C4⋊C4—222no—
1531C4⋊C4—222no—
1532C4⋊C4—441no—
1533C4⋊C4—441no—
1534C4⋊C4—441no—
1535C4⋊C4—441no—
1536C4⋊C4—441no—
1537C4⋊C4—441no—
1538C4⋊C4—441no—
1539C4⋊C4—441no—
1540C4⋊C4—441no—
1541C4⋊C4—441no—
1542C22⋊C4—22no—
1543C22⋊C4—22no—
1544C22⋊C4—22no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—22no—
1548C22⋊C4—22no—
1549C22⋊C4—41no—
1550C22⋊C4—41no—
1551C22⋊C4—41no—
1552C22⋊C4—41no—
1553C22⋊C4—41no—
1554C22⋊C4—41no—
1555C22⋊C4—114no—
1556C22⋊C4—114no—
1557C22⋊C4—114no—
1558C22⋊C4—222no—
1559C22⋊C4—222no—
1560C22⋊C4—222no—
1561C22⋊C4—222no—
1562C22⋊C4—222no—
1563C22⋊C4—222no—
1564C22⋊C4—222no—
1565C22⋊C4—222no—
1566C22⋊C4—222no—
1567C22⋊C4—222no—
1568C22⋊C4—222no—
1569C22⋊C4—222no—
1570C22⋊C4—222no—
1571C22⋊C4—222no—
1572C22⋊C4—222no—
1573C22⋊C4—222no—
1574C22⋊C4—222no—
1575C22⋊C4—222no—
1576C22⋊C4—222no—
1577C22⋊C4—441no—
1578C22⋊C4—441no—
1579C22⋊C4—441no—
1580C22⋊C4—441no—
1581C22⋊C4—441no—
1582C22⋊C4—441no—
1583C22⋊C4—441no—
1584C22⋊C4—441no—
1585C22⋊C4—441no—
1586C22⋊C4—441no—
1587C22⋊C4—441no—
1588C22⋊C4—441no—
1589C22⋊C4—441no—
1590C22⋊C4—441no—
1591C22⋊C4—441no—
1592C22⋊C4—441no—
1593C22⋊C4—441no—
1594C22⋊C4—441no—
1595C22⋊C4—441no—
1596C22⋊C4—441no—
1597C22⋊C4—441no—
1598C22⋊C4—441no—
1599C22⋊C4—441no—
1600C22⋊C4—441no—
1601C22⋊C4—441no—
1602C22⋊C4—441no—
1603C22⋊C4D4×D1114yes—
1604C42—22no—
1605C42—222no—
1606C42—222no—
1607C42—222no—
1608C42—441no—
1609C42—441no—
1610C11#3673911yescharacteristic, complemented, Sylow
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—44no—
1653C23—82no—
1654C23—82no—
1655C23—82no—
1656C23—82no—
1657C23—82no—
1658C23—82no—
1659C23—112no—
1660C23—112no—
1661C23—112no—
1662C23—112no—
1663C23—228no—
1664C23—221no—
1665C23—221no—
1666C23—221no—
1667C23—221no—
1668C23—221no—
1669C23—221no—
1670C23—221no—
1671C23—221no—
1672C23—221no—
1673C23—221no—
1674C23—221no—
1675C23—221no—
1676C23—221no—
1677C23—221no—
1678C23—221no—
1679C23—221no—
1680C23—221no—
1681C23—444no—
1682C23—444no—
1683C23—444no—
1684C23—882no—
1685C23—882no—
1686C23—882no—
1687C23—882no—
1688C23—882no—
1689C23—882no—
1690C23—882no—
1691C23—882no—
1692C23—882no—
1693C23—882no—
1694C23C2×D4×D1112yes—
1695C23C24×D1111yescharacteristic
1696Q8—882no—
1697D4—44no—
1698D4—82no—
1699D4—82no—
1700D4—82no—
1701D4—82no—
1702D4—82no—
1703D4—82no—
1704D4—82no—
1705D4—82no—
1706D4—82no—
1707D4—82no—
1708D4—82no—
1709D4—444no—
1710D4—444no—
1711D4—444no—
1712D4—444no—
1713D4—444no—
1714D4—444no—
1715D4—444no—
1716D4—444no—
1717D4—444no—
1718D4—882no—
1719D4—882no—
1720D4—882no—
1721D4—882no—
1722D4—882no—
1723D4—882no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—82no—
1748C2×C4—112no—
1749C2×C4—112no—
1750C2×C4—221no—
1751C2×C4—221no—
1752C2×C4—221no—
1753C2×C4—221no—
1754C2×C4—221no—
1755C2×C4—221no—
1756C2×C4—221no—
1757C2×C4—221no—
1758C2×C4—221no—
1759C2×C4—221no—
1760C2×C4—221no—
1761C2×C4—221no—
1762C2×C4—221no—
1763C2×C4—221no—
1764C2×C4—221no—
1765C2×C4—221no—
1766C2×C4—221no—
1767C2×C4—221no—
1768C2×C4—221no—
1769C2×C4—221no—
1770C2×C4—221no—
1771C2×C4—221no—
1772C2×C4—221no—
1773C2×C4—221no—
1774C2×C4—221no—
1775C2×C4—221no—
1776C2×C4—221no—
1777C2×C4—221no—
1778C2×C4—221no—
1779C2×C4—221no—
1780C2×C4—221no—
1781C2×C4—221no—
1782C2×C4—221no—
1783C2×C4—221no—
1784C2×C4—221no—
1785C2×C4—221no—
1786C2×C4—221no—
1787C2×C4—444no—
1788C2×C4—444no—
1789C2×C4—444no—
1790C2×C4—444no—
1791C2×C4—444no—
1792C2×C4—444no—
1793C2×C4—882no—
1794C2×C4—882no—
1795C2×C4—882no—
1796C2×C4C2×D4×D1112yes—
1797C2×C4C2×D4×D1112yes—
1798C2×C4#6703712yes—
1799C2×C4#6703712yes—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—88no—
1843C22—114no—
1844C22—222no—
1845C22—222no—
1846C22—222no—
1847C22—222no—
1848C22—222no—
1849C22—222no—
1850C22—222no—
1851C22—222no—
1852C22—222no—
1853C22—441no—
1854C22—441no—
1855C22—441no—
1856C22—441no—
1857C22—441no—
1858C22—441no—
1859C22—441no—
1860C22—441no—
1861C22—441no—
1862C22—441no—
1863C22—441no—
1864C22—888no—
1865C22—888no—
1866C22C22×D4×D1111yescharacteristic
1867C22C2×#6703711yescharacteristic
1868C22C2×#6703711yescharacteristic
1869C22D11×H(5,𝔽2)11yescharacteristic
1870C22D11×H(5,𝔽2)11yescharacteristic
1871C22#1062345511yescharacteristic
1872C22#1062345511yescharacteristic
1873C4—22no—
1874C4—22no—
1875C4—22no—
1876C4—22no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—222no—
1883C4—222no—
1884C4—441no—
1885C4—441no—
1886C4—441no—
1887C4—441no—
1888C4—441no—
1889C4—441no—
1890C4—441no—
1891C4—441no—
1892C4—441no—
1893C4—441no—
1894C4—441no—
1895C2—42no—
1896C2—81no—
1897C2—81no—
1898C2—81no—
1899C2—81no—
1900C2—81no—
1901C2—224no—
1902C2—442no—
1903C2—881no—
1904C2D11×#53511yescharacteristic
1905C2#1308237211yescharacteristic
1906C2#1308237211yescharacteristic
1907C2#1308279611yescharacteristic
1908C2#1308284711yescharacteristic
1909C2#1308313411yescharacteristic
1910C2#1308316611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2669C2
hypercenter#2669D11
hypocenterC11#36739
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2669

Complements

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

NH ≅ G/Ntype
1. C2×#10623144C2semidirect
2. C2×#10623120C2semidirect
3. #13076958C2semidirect
4. #13076914C2semidirect
5. #13075464C2semidirect
6. #13075463C2semidirect
7. #13075365C2semidirect
8. #13075360C2semidirect
9. #13075311C2semidirect
10. #13075308C2semidirect
11. #13075255C2semidirect
12. #13075252C2semidirect
13. #13075006C2semidirect
14. #13075003C2semidirect
15. #13074944C2semidirect
16. #13074941C2semidirect
17. #13074843C2semidirect
18. #13074838C2semidirect
19. #13074829C2semidirect
20. #13074717C2semidirect
21. #13074547C2semidirect
22. #13073575C2semidirect
23. #13073571C2semidirect
24. #13072052C2semidirect
25. #13072049C2semidirect
26. #13071986C2semidirect
27. #13071986C2semidirect
28. #13071983C2semidirect
29. #13071983C2semidirect
30. D11×#388C2semidirect
31. C11×#2669C2semidirect
34. C2×C11×#127C22semidirect
35. C2×C11×#121C22semidirect
36. C2×C11×#121C22semidirect
38. C2×C11×#120C22semidirect
39. C2×C11×#120C22semidirect
41. C2×#66992C22semidirect
42. C2×#66992C22semidirect
45. C2×#66991C22semidirect
46. C2×#66991C22semidirect
47. C2×#66991C22semidirect
48. C2×#66991C22semidirect
49. C2×#66991C22semidirect
50. C2×#66991C22semidirect
51. C2×#66991C22semidirect
56. C2×#66990C22semidirect
57. C2×#66990C22semidirect
58. C2×#66989C22semidirect
60. C2×#66988C22semidirect
61. C2×#66982C22semidirect
62. C2×C4×C22⋊D11C22semidirect
65. C2×#66951C22semidirect
66. C2×#66949C22semidirect
67. C2×C4⋊C4×D11C22semidirect
69. C2×#66938C22semidirect
70. C2×#66938C22semidirect
73. C2×#66937C22semidirect
74. C2×#66937C22semidirect
77. C2×(C22⋊D11)⋊C4C22semidirect
81. C2×#66932C22semidirect
82. C2×C42×D11C22semidirect
83. C11×#394C22semidirect
84. C11×#394C22semidirect
87. C11×#392C22semidirect
88. C11×#392C22semidirect
89. C11×#388C22semidirect
90. C11×#388C22semidirect
91. C11×#386C22semidirect
92. #10622860C22semidirect
93. #10622860C22semidirect
100. #10622836C22semidirect
101. #10622836C22semidirect
102. #10622836C22semidirect
103. #10622836C22semidirect
106. #10622835C22semidirect
107. #10622835C22semidirect
108. #10622835C22semidirect
109. #10622835C22semidirect
110. #10622834C22semidirect
111. #10622834C22semidirect
112. #10622834C22semidirect
113. #10622834C22semidirect
114. #10622834C22semidirect
115. #10622834C22semidirect
116. #10622834C22semidirect
117. #10622833C22semidirect
118. #10622833C22semidirect
119. #10622833C22semidirect
120. #10622833C22semidirect
121. #10622826C22semidirect
122. #10622825C22semidirect
123. #10622607C22semidirect
124. #10622603C22semidirect
125. #10622603C22semidirect
126. #10622599C22semidirect
127. #10622598C22semidirect
134. #10622574C22semidirect
135. #10622572C22semidirect
136. #10622570C22semidirect
137. #10622570C22semidirect
138. #10622569C22semidirect
139. #10622569C22semidirect
140. #10622569C22semidirect
141. #10622569C22semidirect
142. #10622569C22semidirect
143. #10622569C22semidirect
144. #10622569C22semidirect
145. #10622569C22semidirect
146. #10622568C22semidirect
147. #10622568C22semidirect
148. #10622566C22semidirect
149. #10622565C22semidirect
150. #10622565C22semidirect
151. #10622565C22semidirect
152. #10622564C22semidirect
153. #10622564C22semidirect
154. #10622564C22semidirect
155. #10622563C22semidirect
156. #10622563C22semidirect
157. #10622562C22semidirect
158. #10622562C22semidirect
159. #10622562C22semidirect
160. #10622561C22semidirect
161. #10622561C22semidirect
162. #10622561C22semidirect
163. #10622560C22semidirect
164. #10622560C22semidirect
165. #10622558C22semidirect
166. #10622558C22semidirect
167. #10622557C22semidirect
168. #10622557C22semidirect
169. #10622555C22semidirect
170. #10622553C22semidirect
171. #10622553C22semidirect
172. #10622548C22semidirect
173. #10622290C22semidirect
174. #10622283C22semidirect
175. #10622283C22semidirect
176. #10622282C22semidirect
177. #10622281C22semidirect
178. #10622281C22semidirect
179. #10622278C22semidirect
180. #10622278C22semidirect
181. D11×#95C22semidirect
182. D11×#95C22semidirect
183. #10622274C22semidirect
184. #10622272C22semidirect
185. #10622270C22semidirect
186. #10622263C22semidirect
187. #10622260C22semidirect
188. #10622259C22semidirect
370. C22⋊C4×D11D4semidirect
675. #2669D11semidirect
880. C2×#127C2×D11semidirect
908. C2×#121C2×D11semidirect
909. C2×#121C2×D11semidirect
918. C2×#120C2×D11semidirect
919. C2×#120C2×D11semidirect
957. #394C2×D11semidirect
958. #394C2×D11semidirect
973. #392C2×D11semidirect
974. #392C2×D11semidirect
1001. #388C2×D11semidirect
1002. #388C2×D11semidirect
1018. #386C2×D11semidirect
1610. C11#36739semidirect

Maximal subgroups

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

subgroupindex
C2×#106231442
C2×#106231202
#130769582
#130769142
#130754642
#130754632
#130753652
#130753602
#130753112
#130753082
#130752552
#130752522
#130750062
#130750032
#130749442
#130749412
#130748432
#130748382
#130748292
#130747172
#130745472
#130735752
#130735712
#130720522
#130720492
#130719862
#130719832
D11×#3882
C11×#26692
#3673911