Finite Group Databasebeta

← #14926774

Subgroups — #14926774

Order 2816.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623196C211yesmaximal, characteristic, complemented
2C2×#10623124C211yesmaximal, characteristic, complemented
3#13076987C211yesmaximal, characteristic, complemented
4#13076980C211yesmaximal, characteristic, complemented
5#13076946C211yesmaximal, characteristic, complemented
6#13076916C211yesmaximal, characteristic, complemented
7#13074780C211yesmaximal, characteristic, complemented
8#13074769C211yesmaximal, characteristic, complemented
9#13074758C211yesmaximal, characteristic, complemented
10#13074747C211yesmaximal, characteristic, complemented
11#13073765C211yesmaximal, characteristic, complemented
12#13073750C211yesmaximal, characteristic, complemented
13#13073735C211yesmaximal, characteristic, complemented
14#13073720C211yesmaximal, characteristic, complemented
15#13073622C211yesmaximal, characteristic, complemented
16#13073578C211yesmaximal, characteristic, complemented
17#13073506C211yesmaximal, characteristic, complemented
18#13073314C211yesmaximal, characteristic, complemented
19#13073284C211yesmaximal, characteristic, complemented
20#13072946C211yesmaximal, characteristic, complemented
21#13072741C211yesmaximal, characteristic, complemented
22#13072617C211yesmaximal, characteristic, complemented
23#13072578C211yesmaximal, characteristic, complemented
24#13072163C211yesmaximal, characteristic, complemented
25#13072148C211yesmaximal, characteristic, complemented
26#13071288C211yesmaximal, characteristic, complemented
27#13071277C211yesmaximal, characteristic, complemented
28#121×Dic11C211yesmaximal, characteristic, complemented
29C2×#10622564C211yesmaximal, characteristic, complemented
30C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
31C11×#2539C211yesmaximal, characteristic, complemented
32C2×C11×#123C2211yescharacteristic
33C2×C11×#123C2211yescharacteristic
34C2×C11×#121C2211yescharacteristic
35C2×C11×#120C2211yescharacteristic
36C2×C11×#120C2211yescharacteristic
37C22×C11×C22⋊C4C2211yescharacteristic
38C2×#67006C2211yescharacteristic
39C22×C22⋊Dic11C2211yescharacteristic
40C22×C22⋊Dic11C2211yescharacteristic
41C2×#66992C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66992C2211yescharacteristic
44C2×#66991C2211yescharacteristic
45C2×#66991C2211yescharacteristic
46C2×#66989C2211yescharacteristic
47C2×#66989C2211yescharacteristic
48C2×#66988C2211yescharacteristic
49C2×D4×Dic11C2211yescharacteristic
50C2×D4×Dic11C2211yescharacteristic
51C2×D4×Dic11C2211yescharacteristic, complemented
52C2×#66982C2211yescharacteristic
53C2×C4×C22⋊D11C2211yescharacteristic
54C22×C4⋊Dic11C2211yescharacteristic
55C22×C4×Dic11C2211yescharacteristic
56#10623196—28no—
57#10623124—28no—
58C2×#66951C2211yescharacteristic, complemented
59C2×#66950C2211yescharacteristic, complemented
60C2×#66943C2211yescharacteristic, complemented
61C2×#66942C2211yescharacteristic, complemented
62C2×#66939C2211yescharacteristic, complemented
63C2×#66938C2211yescharacteristic
64C2×#66936C2211yescharacteristic
65C2×#66936C2211yescharacteristic, complemented
66C2×(C22⋊D11)⋊C4C2211yescharacteristic
67C2×(C22⋊D11)⋊C4C2211yescharacteristic
68C2×#66932C2211yescharacteristic
69C2×#66932C2211yescharacteristic
70C2×#66932C2211yescharacteristic, complemented
71C2×#66931C2211yescharacteristic
72C2×#66931C2211yescharacteristic
73C2×#66931C2211yescharacteristic, complemented
74C2×C42×D11C2211yescharacteristic, complemented
75C11×#399C2211yescharacteristic
76C11×#399C2211yescharacteristic
77C11×#392C2211yescharacteristic
78C11×#392C2211yescharacteristic
79C11×#390C2211yescharacteristic
80C11×#390C2211yescharacteristic
81C11×#390C2211yescharacteristic
82C11×#390C2211yescharacteristic
83C4×C11×C22⋊C4C2211yescharacteristic
84#10622860C2211yescharacteristic
85#10622836C2211yescharacteristic
86#10622836C2211yescharacteristic, complemented
87#10622835C2211yescharacteristic
88#10622835C2211yescharacteristic
89#10622835C2211yescharacteristic
90#10622835C2211yescharacteristic, complemented
91#10622834C2211yescharacteristic
92#10622834C2211yescharacteristic
93#10622834C2211yescharacteristic
94#10622834C2211yescharacteristic
95#10622834C2211yescharacteristic, complemented
96#10622833C2211yescharacteristic
97#10622833C2211yescharacteristic
98#10622833C2211yescharacteristic
99#10622833C2211yescharacteristic
100#10622833C2211yescharacteristic
101#10622833C2211yescharacteristic
102#10622825C2211yescharacteristic
103#10622824C2211yescharacteristic
104C2×C11⋊#95C2211yescharacteristic
105C2×C11⋊#95C2211yescharacteristic
106#10622606C2211yescharacteristic, complemented
107#10622606C2211yescharacteristic, complemented
108#10622600C2211yescharacteristic, complemented
109#10622598C2211yescharacteristic, complemented
110#10622598C2211yescharacteristic, complemented
111#10622598C2211yescharacteristic, complemented
112#10622595C2211yescharacteristic, complemented
113#10622595C2211yescharacteristic, complemented
114#10622594C2211yescharacteristic, complemented
115#10622594C2211yescharacteristic, complemented
116#10622593C2211yescharacteristic, complemented
117#10622593C2211yescharacteristic, complemented
118#10622590C2211yescharacteristic, complemented
119C4⋊C4×Dic11C2211yescharacteristic, complemented
120#10622587C2211yescharacteristic, complemented
121#10622586C2211yescharacteristic, complemented
122#10622574C2211yescharacteristic
123#10622574C2211yescharacteristic
124#10622574C2211yescharacteristic
125#10622574C2211yescharacteristic, complemented
126#10622569C2211yescharacteristic
127#10622569C2211yescharacteristic
128#10622569C2211yescharacteristic
129#10622569C2211yescharacteristic, complemented
130#10622569C2211yescharacteristic, complemented
131#10622569C2211yescharacteristic, complemented
132#10622566C2211yescharacteristic
133#10622566C2211yescharacteristic, complemented
134#10622564C2211yescharacteristic
135#10622564C2211yescharacteristic
136#10622564C2211yescharacteristic
137#10622564C2211yescharacteristic
138#10622564C2211yescharacteristic
139#10622564C2211yescharacteristic
140#10622564C2211yescharacteristic
141#10622564C2211yescharacteristic
142#10622564C2211yescharacteristic
143#10622564C2211yescharacteristic
144#10622564C2211yescharacteristic
145#10622564C2211yescharacteristic
146#10622564C2211yescharacteristic, complemented
147#10622564C2211yescharacteristic, complemented
148#10622564C2211yescharacteristic, complemented
149#10622564C2211yescharacteristic, complemented
150#10622563C2211yescharacteristic
151#10622563C2211yescharacteristic
152#10622563C2211yescharacteristic, complemented
153#10622563C2211yescharacteristic, complemented
154#10622561C2211yescharacteristic
155#10622561C2211yescharacteristic
156#10622561C2211yescharacteristic
157#10622561C2211yescharacteristic, complemented
158#10622560C2211yescharacteristic
159#10622560C2211yescharacteristic, complemented
160#10622558C2211yescharacteristic
161#10622558C2211yescharacteristic
162#10622558C2211yescharacteristic, complemented
163#10622558C2211yescharacteristic, complemented
164#10622557C2211yescharacteristic
165#10622557C2211yescharacteristic
166#10622557C2211yescharacteristic
167#10622557C2211yescharacteristic, complemented
168#10622557C2211yescharacteristic, complemented
169#10622557C2211yescharacteristic, complemented
170C22⋊C4×Dic11C2211yescharacteristic
171C22⋊C4×Dic11C2211yescharacteristic
172C22⋊C4×Dic11C2211yescharacteristic, complemented
173C22⋊C4×Dic11C2211yescharacteristic, complemented
174C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
175C4×Dic11⋊C4C2211yescharacteristic, complemented
176C42×Dic11C2211yescharacteristic, complemented
177#10622542C2211yescharacteristic, complemented
178#10622542C2211yescharacteristic, complemented
179#10622541C2211yescharacteristic, complemented
180#10622541C2211yescharacteristic, complemented
181#10622279C2211yescharacteristic, complemented
182#10622279C2211yescharacteristic, complemented
183#10622274C2211yescharacteristic, complemented
184#10622274C2211yescharacteristic, complemented
185#10622269C2211yescharacteristic, complemented
186#10622269C2211yescharacteristic, complemented
187#10622262C2211yescharacteristic, complemented
188#10622262C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×Dic22C2311yescharacteristic
214C22×Dic22C2311yescharacteristic
215C11×#123—24no—
216C11×#123—24no—
217C11×#121—24no—
218C11×#120—24no—
219C11×#120—24no—
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4—24no—
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C42×C11C2311yescharacteristic
243C2×C42×C11C2311yescharacteristic
244#67006—24no—
245C2×C22⋊Dic11—24no—
246C2×C22⋊Dic11—42no—
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
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
276#66992—24no—
277#66992—24no—
278#66992—24no—
279#66991—24no—
280#66991—42no—
281#66989—24no—
282#66989—42no—
283#66988—24no—
284D4×Dic11—24no—
285D4×Dic11—24no—
286D4×Dic11—42no—
287#66982—24no—
288C4×C22⋊D11—24no—
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×C4⋊Dic11—24no—
297C2×C4⋊Dic11C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×C4⋊Dic11C2311yescharacteristic
305C2×C4⋊Dic11C2311yescharacteristic
306C2×C4⋊Dic11C2311yescharacteristic
307C2×C4⋊Dic11C2311yescharacteristic
308C2×C4⋊Dic11C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×C4×Dic11—42no—
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334C2×C4×Dic11C2311yescharacteristic
335C2×C4×Dic11C2311yescharacteristic
336#66951—24no—
337#66950—24no—
338#66943—24no—
339#66942—24no—
340#66939—24no—
341#66938—24no—
342#66936—24no—
343#66936—24no—
344(C22⋊D11)⋊C4—24no—
345(C22⋊D11)⋊C4D418yescomplemented
346#66932—24no—
347#66932—24no—
348#66932—24no—
349#66931—24no—
350#66931—24no—
351#66931—24no—
352C42×D11—42no—
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385#35009—111nomaximal, Sylow
386C24×C11—22no—
387C24×C11—22no—
388C24×C11—22no—
389C24×C11—41no—
390C24×C11—41no—
391C24×C11—41no—
392C24×C11—41no—
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C24×C11C2411yescharacteristic
396C24×C11C2411yescharacteristic
397C24×C11C2411yescharacteristic
398C23×D11C2411yescharacteristic
399C2×D4×C11—22no—
400C2×D4×C11—22no—
401C2×D4×C11—22no—
402C2×D4×C11—22no—
403C2×D4×C11—22no—
404C2×D4×C11—22no—
405C2×D4×C11—22no—
406C2×D4×C11—22no—
407C2×D4×C11—22no—
408C2×D4×C11—22no—
409C2×D4×C11—22no—
410C2×D4×C11—41no—
411C2×D4×C11—41no—
412C2×D4×C11—41no—
413C2×D4×C11—41no—
414C2×D4×C11—41no—
415C2×D4×C11—41no—
416C2×D4×C11—41no—
417C2×D4×C11—41no—
418C2×D4×C11—41no—
419C2×D4×C11—41no—
420C22×C4×C11—22no—
421C22×C4×C11—22no—
422C22×C4×C11—22no—
423C22×C4×C11—41no—
424C22×C4×C11—41no—
425C22×C4×C11#4114yes—
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C2×C22⋊D11—22no—
437C2×C22⋊D11—22no—
438C2×C22⋊D11—22no—
439C2×C22⋊D11—22no—
440C2×C22⋊D11—22no—
441C2×C22⋊D11—22no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11—41no—
445C2×C22⋊D11—41no—
446C2×C22⋊D11—41no—
447C2×C22⋊D11—41no—
448C2×C22⋊D11—41no—
449C2×C22⋊D11—41no—
450C2×C22⋊D11C2×D414yes—
451C22×Dic11—22no—
452C22×Dic11—22no—
453C22×Dic11—22no—
454C22×Dic11—22no—
455C22×Dic11—22no—
456C22×Dic11—22no—
457C22×Dic11—41no—
458C22×Dic11—41no—
459C22×Dic11—41no—
460C22×Dic11—41no—
461C22×Dic11—41no—
462C22×Dic11—41no—
463C22×Dic11—41no—
464C22×Dic11—41no—
465C22×Dic11—41no—
466C22×Dic11—41no—
467C22×Dic11—41no—
468C22×Dic11C2×D414yes—
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C2×C4×D11—22no—
485C2×C4×D11—22no—
486C2×C4×D11—22no—
487C2×C4×D11—41no—
488C2×C4×D11—41no—
489C2×C4×D11—41no—
490C2×C4×D11—41no—
491C2×C4×D11—41no—
492C2×C4×D11C2×D414yes—
493C2×Dic22—22no—
494C2×Dic22—22no—
495C2×Dic22—41no—
496C2×Dic22—41no—
497C2×Dic22—41no—
498C2×Dic22—41no—
499C11×C4⋊C4—22no—
500C11×C4⋊C4—22no—
501C11×C4⋊C4—22no—
502C11×C4⋊C4—22no—
503C11×C4⋊C4—22no—
504C11×C22⋊C4—22no—
505C11×C22⋊C4—22no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4—22no—
508C11×C22⋊C4—22no—
509C11×C22⋊C4—22no—
510C11×C22⋊C4—22no—
511C11×C22⋊C4—22no—
512C11×C22⋊C4—22no—
513C11×C22⋊C4—22no—
514C11×C22⋊C4—22no—
515C11×C22⋊C4—22no—
516C11×C22⋊C4—22no—
517C11×C22⋊C4—22no—
518C11×C22⋊C4C2×D414yes—
519C11×C22⋊C4#4114yes—
520C42×C11—41no—
521C42×C11—41no—
522C22⋊Dic11—22no—
523C22⋊Dic11—22no—
524C22⋊Dic11—22no—
525C22⋊Dic11—22no—
526C22⋊Dic11—22no—
527C22⋊Dic11—22no—
528C22⋊Dic11—22no—
529C22⋊Dic11—22no—
530C22⋊Dic11—22no—
531C22⋊Dic11—22no—
532C22⋊Dic11—22no—
533C22⋊Dic11—22no—
534C22⋊Dic11—22no—
535C22⋊Dic11—22no—
536C22⋊Dic11—22no—
537C22⋊Dic11—22no—
538C22⋊Dic11—22no—
539C22⋊Dic11—41no—
540C22⋊Dic11—41no—
541C22⋊Dic11—41no—
542C22⋊Dic11—41no—
543C22⋊Dic11—41no—
544C22⋊Dic11—41no—
545C22⋊Dic11—41no—
546C22⋊Dic11—41no—
547C22⋊Dic11—41no—
548C22⋊Dic11—41no—
549C22⋊Dic11—41no—
550C22⋊Dic11—41no—
551(C2×D11)⋊C4—22no—
552(C2×D11)⋊C4—22no—
553(C2×D11)⋊C4—22no—
554(C2×D11)⋊C4—22no—
555(C2×D11)⋊C4—22no—
556(C2×D11)⋊C4—22no—
557(C2×D11)⋊C4C2×D414yes—
558C4⋊Dic11—22no—
559C4⋊Dic11—22no—
560C4⋊Dic11—22no—
561C4⋊Dic11—22no—
562C4⋊Dic11—22no—
563C4⋊Dic11—22no—
564C4⋊Dic11—22no—
565C4⋊Dic11—22no—
566C4⋊Dic11—41no—
567C4⋊Dic11—41no—
568C4⋊Dic11—41no—
569C4⋊Dic11—41no—
570C4⋊Dic11—41no—
571C4⋊Dic11—41no—
572Dic11⋊C4—22no—
573Dic11⋊C4—22no—
574Dic11⋊C4—22no—
575Dic11⋊C4—22no—
576Dic11⋊C4—22no—
577Dic11⋊C4—22no—
578Dic11⋊C4—22no—
579Dic11⋊C4—22no—
580Dic11⋊C4—22no—
581Dic11⋊C4—22no—
582Dic11⋊C4C2×D414yes—
583C4×Dic11—22no—
584C4×Dic11—22no—
585C4×Dic11—22no—
586C4×Dic11—22no—
587C4×Dic11—22no—
588C4×Dic11—22no—
589C4×Dic11—22no—
590C4×Dic11—41no—
591C4×Dic11—41no—
592C4×Dic11—41no—
593C4×Dic11—41no—
594C4×Dic11—41no—
595C4×Dic11C2×D414yes—
596C2×#539—111no—
597C2×#538—111no—
598#2861—111no—
599#2860—111no—
600#2854—111no—
601#2850—111no—
602#2664—111no—
603#2663—111no—
604#2662—111no—
605#2661—111no—
606#2560—111no—
607#2559—111no—
608#2558—111no—
609#2557—111no—
610#2549—111no—
611#2543—111no—
612#2539D1111yescharacteristic, complemented
613#2534—111no—
614#2521—111no—
615#2519—111no—
616#2488—111no—
617#2472—111no—
618#2464—111no—
619#2461—111no—
620#2425—111no—
621#2424—111no—
622#2322—111no—
623#2321—111no—
624C4×#121—111no—
625C2×#388—111no—
626C42×D4—111no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—44no—
660C23×C11—44no—
661C23×C11—44no—
662C23×C11—82no—
663C23×C11—82no—
664C23×C11—82no—
665C23×C11—82no—
666C23×C11C22×D412yes—
667C23×C11C2×#4112yes—
668C23×C11C2×#4112yes—
669C23×C11C2511yescharacteristic
670C22×D11—21no—
671C22×D11—21no—
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11C22×D412yes—
677D4×C11—44no—
678D4×C11—44no—
679D4×C11—44no—
680D4×C11—82no—
681D4×C11—82no—
682D4×C11—82no—
683D4×C11—82no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—44no—
709C2×C4×C11—44no—
710C2×C4×C11C22×D412yes—
711C2×C4×C11C22×D412yes—
712C2×C4×C11C2×#4112yes—
713C2×C4×C11C2×#4112yes—
714C2×C4×C11C2×#4112yes—
715C2×C4×C11C2×#4112yes—
716C22⋊D11—28no—
717C22⋊D11—82no—
718C22⋊D11—82no—
719C22⋊D11—82no—
720C22⋊D11—82no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—44no—
763C2×Dic11—44no—
764C2×Dic11—82no—
765C2×Dic11—82no—
766C2×Dic11—82no—
767C2×Dic11—82no—
768C2×Dic11C22×D412yes—
769C2×Dic11C22×D412yes—
770C2×Dic11C22×D412yes—
771C2×Dic11H(5,𝔽2)12yes—
772C4×D11—44no—
773C4×D11—44no—
774C4×D11—44no—
775Dic22—82no—
776Dic22—82no—
777#539—228no—
778#538—228no—
779C2×#126—111no—
780C2×#126—111no—
781C2×#126—111no—
782C2×#126—111no—
783C2×#125—111no—
784C2×#125—111no—
785C2×#124—111no—
786C2×#124—111no—
787C2×#124—111no—
788C2×#123—111no—
789C2×#123—111no—
790C2×#123—111no—
791C2×#123—111no—
792C2×#123—111no—
793C2×#123C2×D1111yescharacteristic
794C2×#123C2×D1111yescharacteristic
795C2×C22⋊Q8—111no—
796C2×C22⋊Q8—111no—
797C2×C22⋊Q8—111no—
798C2×C22⋊Q8—111no—
799C2×#121—111no—
800C2×#121—111no—
801C2×#121—111no—
802C2×#121—111no—
803C2×#121—111no—
804C2×#121C2×D1111yescharacteristic
805C2×#120—111no—
806C2×#120C2×D1111yescharacteristic
807C2×#120C2×D1111yescharacteristic
808C2×C4×D4—111no—
809C2×C4×D4—111no—
810C2×C4×D4—111no—
811C2×C4×D4—111no—
812C2×C4×D4—111no—
813C2×C4×D4—111no—
814C22×C4⋊C4—111no—
815C22×C22⋊C4—111no—
816C22×C22⋊C4—111no—
817C22×C22⋊C4C2×D1111yescharacteristic
818C22×C42—111no—
819C22×C42—111no—
820#400—111no—
821#400—111no—
822#399C2×D1111yescharacteristic
823#399C2×D1111yescharacteristic
824#398—111no—
825#398—111no—
826#398—111no—
827#398—111no—
828#397—111no—
829#397—111no—
830#397—111no—
831#397—111no—
832#396—111no—
833#396—111no—
834#396—111no—
835#396—111no—
836#395—111no—
837#395—111no—
838#394—111no—
839#394—111no—
840#394—111no—
841#394—111no—
842#394—111no—
843#394—111no—
844#394—111no—
845#394—111no—
846#393—111no—
847#393—111no—
848#392—111no—
849#392—111no—
850#392C2×D1111yescharacteristic
851#392C2×D1111yescharacteristic
852#391—111no—
853#391—111no—
854#391—111no—
855#390—111no—
856#390—111no—
857#390—111no—
858#390—111no—
859#390—111no—
860#390C2×D1111yescharacteristic
861#390C2×D1111yescharacteristic
862#390C2×D1111yescharacteristic
863#390C2×D1111yescharacteristic
864#389—111no—
865#389—111no—
866#389—111no—
867#389—111no—
868#389—111no—
869#389—111no—
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#388—111no—
877#388—111no—
878#388—111no—
879#388—111no—
880#388—111no—
881#388—111no—
882#388—111no—
883#388—111no—
884#388—111no—
885#388—111no—
886#388—111no—
887#388—111no—
888#388—111no—
889#388—111no—
890#388—111no—
891#388—111no—
892#388—111no—
893#388—111no—
894#388—111no—
895#388—111no—
896#387—111no—
897#387—111no—
898#386—111no—
899#386—111no—
900#386—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#385—111no—
911#385—111no—
912#385—111no—
913#385—111no—
914#382—111no—
915#381—111no—
916#380—111no—
917#380—111no—
918#379—111no—
919C4×C4⋊C4—111no—
920C4×C4⋊C4—111no—
921C4×C4⋊C4—111no—
922C4×C4⋊C4—111no—
923C4×C22⋊C4—111no—
924C4×C22⋊C4—111no—
925C4×C22⋊C4—111no—
926C4×C22⋊C4—111no—
927C4×C22⋊C4—111no—
928C4×C22⋊C4—111no—
929C4×C22⋊C4—111no—
930C4×C22⋊C4C2×D1111yescharacteristic
931C2×#95—111no—
932C2×#95—111no—
933C43—111no—
934C22×C11—22no—
935C22×C11—22no—
936C22×C11—22no—
937C22×C11—22no—
938C22×C11—22no—
939C22×C11—22no—
940C22×C11—41no—
941C22×C11—41no—
942C22×C11—41no—
943C22×C11—41no—
944C22×C11—41no—
945C22×C11—41no—
946C22×C11—41no—
947C22×C11—41no—
948C22×C11—41no—
949C22×C11—41no—
950C22×C11—41no—
951C22×C11—41no—
952C22×C11—41no—
953C22×C11—41no—
954C22×C11—41no—
955C22×C11—41no—
956C22×C11—41no—
957C22×C11—41no—
958C22×C11—41no—
959C22×C11—41no—
960C22×C11—41no—
961C22×C11—41no—
962C22×C11—41no—
963C22×C11—41no—
964C22×C11—41no—
965C22×C11—41no—
966C22×C11—41no—
967C22×C11—41no—
968C22×C11—88no—
969C22×C11#53214yes—
970C22×C11C23×D411yescharacteristic
971C22×C11C22×#4111yescharacteristic
972C22×C11C22×#4111yescharacteristic
973C22×C11C2×H(5,𝔽2)11yescharacteristic
974C22×C11#58511yescharacteristic
975C22×C11#58511yescharacteristic
976C22×C11#58511yescharacteristic
977C2×D11—22no—
978C2×D11—22no—
979C2×D11—22no—
980C2×D11—41no—
981C2×D11—41no—
982C2×D11—41no—
983C2×D11—41no—
984C4×C11—22no—
985C4×C11—22no—
986C4×C11—22no—
987C4×C11—22no—
988C4×C11—22no—
989C4×C11—22no—
990C4×C11—41no—
991C4×C11—41no—
992C4×C11—41no—
993C4×C11—41no—
994Dic11—22no—
995Dic11—22no—
996Dic11—22no—
997Dic11—22no—
998Dic11—41no—
999Dic11—41no—
1000Dic11—41no—
1001Dic11—41no—
1002Dic11—41no—
1003Dic11—41no—
1004Dic11—41no—
1005Dic11—41no—
1006Dic11—41no—
1007Dic11—41no—
1008Dic11—41no—
1009C25C22×D1111yescharacteristic
1010C22×Q8—111no—
1011C22×Q8—111no—
1012C22×D4—111no—
1013C22×D4—111no—
1014C22×D4—111no—
1015C22×D4—111no—
1016C22×D4—111no—
1017C22×D4C22×D1111yescharacteristic
1018C22×D4C22×D1111yescharacteristic
1019C22×D4C22×D1111yescharacteristic
1020C22×D4C22×D1111yescharacteristic
1021C22×D4C22×D1111yescharacteristic
1022C22×D4C22×D1111yescharacteristic
1023C22×D4C22×D1111yescharacteristic
1024C23×C4—111no—
1025C23×C4—111no—
1026C23×C4—111no—
1027C23×C4—111no—
1028C23×C4—111no—
1029C23×C4—111no—
1030C23×C4—111no—
1031C23×C4—111no—
1032C23×C4—111no—
1033C23×C4C22×D1111yescharacteristic
1034C23×C4C22×D1111yescharacteristic
1035#126—224no—
1036#126—224no—
1037#126—224no—
1038#126—224no—
1039#125—224no—
1040#125—224no—
1041#124—224no—
1042#124—224no—
1043#124—442no—
1044#123—24no—
1045#123—24no—
1046#123—224no—
1047#123—224no—
1048#123—224no—
1049#123—224no—
1050#123—224no—
1051C22⋊Q8—224no—
1052C22⋊Q8—224no—
1053C22⋊Q8—224no—
1054C22⋊Q8—224no—
1055#121—24no—
1056#121—224no—
1057#121—224no—
1058#121—224no—
1059#121—224no—
1060#121—442no—
1061#120—24no—
1062#120—24no—
1063#120—224no—
1064C4×D4—118no—
1065C4×D4—224no—
1066C4×D4—224no—
1067C4×D4—224no—
1068C4×D4—224no—
1069C4×D4—442no—
1070C2×C4⋊C4—111no—
1071C2×C4⋊C4—111no—
1072C2×C4⋊C4—111no—
1073C2×C4⋊C4—111no—
1074C2×C4⋊C4—111no—
1075C2×C4⋊C4—111no—
1076C2×C4⋊C4—111no—
1077C2×C4⋊C4—111no—
1078C2×C4⋊C4—111no—
1079C2×C4⋊C4—111no—
1080C2×C4⋊C4—111no—
1081C2×C4⋊C4—111no—
1082C2×C4⋊C4—111no—
1083C2×C4⋊C4—111no—
1084C2×C4⋊C4—111no—
1085C2×C4⋊C4—111no—
1086C2×C4⋊C4—111no—
1087C2×C4⋊C4—111no—
1088C2×C4⋊C4—111no—
1089C2×C4⋊C4—111no—
1090C2×C4⋊C4—111no—
1091C2×C4⋊C4—111no—
1092C2×C4⋊C4—111no—
1093C2×C4⋊C4—111no—
1094C2×C4⋊C4—111no—
1095C2×C4⋊C4—224no—
1096C2×C4⋊C4C22×D1111yescharacteristic
1097C2×C4⋊C4C22×D1111yescharacteristic
1098C2×C4⋊C4C22×D1111yescharacteristic
1099C2×C4⋊C4C22×D1111yescharacteristic
1100C2×C4⋊C4C22×D1111yescharacteristic
1101C2×C22⋊C4—24no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—224no—
1139C2×C22⋊C4—442no—
1140C2×C22⋊C4C22×D1111yescharacteristic
1141C2×C22⋊C4C22×D1111yescharacteristic
1142C2×C22⋊C4C22×D1111yescharacteristic
1143C2×C22⋊C4C22×D1111yescharacteristic
1144C2×C22⋊C4C22×D1111yescharacteristic
1145C2×C22⋊C4C22×D1111yescharacteristic
1146C2×C22⋊C4C22×D1111yescharacteristic
1147C2×C22⋊C4C22×D1111yescharacteristic
1148C2×C22⋊C4C22×D1111yescharacteristic
1149C2×C22⋊C4C22×D1111yescharacteristic
1150C2×C22⋊C4C22×D1111yescharacteristic
1151C2×C22⋊C4C22×D1111yescharacteristic
1152C2×C22⋊C4C22×D1111yescharacteristic
1153C2×C22⋊C4C22×D1111yescharacteristic
1154C2×C22⋊C4C22×D1111yescharacteristic
1155C2×C22⋊C4C22×D1111yescharacteristic
1156C2×C42—111no—
1157C2×C42—111no—
1158C2×C42—111no—
1159C2×C42—111no—
1160C2×C42—111no—
1161C2×C42—111no—
1162C2×C42—111no—
1163C2×C42—111no—
1164C2×C42—111no—
1165C2×C42—111no—
1166C2×C42—111no—
1167C2×C42—111no—
1168C2×C42—111no—
1169C2×C42—442no—
1170C2×C42—442no—
1171C2×C42C22×D1111yescharacteristic
1172C2×C42C22×D1111yescharacteristic
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95—111no—
1180#95—111no—
1181#95—111no—
1182#95—111no—
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95—111no—
1193#95—111no—
1194#95—111no—
1195#95—111no—
1196#95—111no—
1197#95—111no—
1198#95—111no—
1199#95—111no—
1200#95—111no—
1201#95—111no—
1202#95—111no—
1203#95C22×D1111yescharacteristic
1204#95C22×D1111yescharacteristic
1205C2×C11—24no—
1206C2×C11—81no—
1207C2×C11—81no—
1208C2×C11—81no—
1209C2×C11—81no—
1210C2×C11C2×#53211yescharacteristic
1211C2×C11#345511yescharacteristic
1212C2×C11#345911yescharacteristic
1213C2×C11#349611yescharacteristic
1214C2×C11#350011yescharacteristic
1215C2×C11#351311yescharacteristic
1216C2×C11#352111yescharacteristic
1217D11—42no—
1218C24—22no—
1219C24—22no—
1220C24—22no—
1221C24—41no—
1222C24—41no—
1223C24—41no—
1224C24—41no—
1225C24—111no—
1226C24C23×D1111yescharacteristic
1227C24C23×D1111yescharacteristic
1228C24C23×D1111yescharacteristic
1229C24C23×D1111yescharacteristic
1230C24C23×D1111yescharacteristic
1231C2×Q8—222no—
1232C2×Q8—222no—
1233C2×Q8—441no—
1234C2×Q8—441no—
1235C2×Q8—441no—
1236C2×Q8—441no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—114no—
1259C2×D4—222no—
1260C2×D4—222no—
1261C2×D4—222no—
1262C2×D4—222no—
1263C2×D4—222no—
1264C2×D4—222no—
1265C2×D4—441no—
1266C2×D4—441no—
1267C2×D4—441no—
1268C2×D4—441no—
1269C2×D4—441no—
1270C2×D4—441no—
1271C2×D4—441no—
1272C2×D4—441no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—111no—
1279C22×C4—111no—
1280C22×C4—111no—
1281C22×C4—111no—
1282C22×C4—114no—
1283C22×C4—114no—
1284C22×C4—111no—
1285C22×C4—111no—
1286C22×C4—111no—
1287C22×C4—111no—
1288C22×C4—111no—
1289C22×C4—111no—
1290C22×C4—111no—
1291C22×C4—111no—
1292C22×C4—111no—
1293C22×C4—111no—
1294C22×C4—111no—
1295C22×C4—222no—
1296C22×C4—222no—
1297C22×C4—222no—
1298C22×C4—222no—
1299C22×C4—222no—
1300C22×C4—222no—
1301C22×C4—222no—
1302C22×C4—222no—
1303C22×C4—222no—
1304C22×C4—441no—
1305C22×C4—441no—
1306C22×C4—441no—
1307C22×C4—441no—
1308C22×C4—441no—
1309C22×C4—441no—
1310C22×C4—441no—
1311C22×C4—441no—
1312C22×C4—441no—
1313C22×C4—441no—
1314C22×C4—441no—
1315C22×C4—441no—
1316C22×C4—441no—
1317C22×C4—441no—
1318C22×C4—441no—
1319C22×C4—441no—
1320C22×C4#434114yes—
1321C22×C4C23×D1111yescharacteristic
1322C22×C4C23×D1111yescharacteristic
1323C22×C4C23×D1111yescharacteristic
1324C22×C4C23×D1111yescharacteristic
1325C22×C4C23×D1111yescharacteristic
1326C22×C4C23×D1111yescharacteristic
1327C22×C4C23×D1111yescharacteristic
1328C22×C4C23×D1111yescharacteristic
1329C22×C4C23×D1111yescharacteristic
1330C22×C4C23×D1111yescharacteristic
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—114no—
1337C4⋊C4—222no—
1338C4⋊C4—222no—
1339C4⋊C4—222no—
1340C4⋊C4—222no—
1341C4⋊C4—222no—
1342C4⋊C4—222no—
1343C4⋊C4—222no—
1344C4⋊C4—222no—
1345C4⋊C4—222no—
1346C4⋊C4—222no—
1347C4⋊C4—222no—
1348C4⋊C4—222no—
1349C4⋊C4—222no—
1350C4⋊C4—222no—
1351C4⋊C4—222no—
1352C4⋊C4—222no—
1353C4⋊C4—222no—
1354C4⋊C4—222no—
1355C4⋊C4—441no—
1356C4⋊C4—441no—
1357C4⋊C4—441no—
1358C4⋊C4—441no—
1359C4⋊C4—441no—
1360C4⋊C4—441no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—114no—
1376C22⋊C4—222no—
1377C22⋊C4—222no—
1378C22⋊C4—222no—
1379C22⋊C4—222no—
1380C22⋊C4—222no—
1381C22⋊C4—222no—
1382C22⋊C4—222no—
1383C22⋊C4—222no—
1384C22⋊C4—222no—
1385C22⋊C4—222no—
1386C22⋊C4—222no—
1387C22⋊C4—222no—
1388C22⋊C4—222no—
1389C22⋊C4—222no—
1390C22⋊C4—222no—
1391C22⋊C4—222no—
1392C22⋊C4—222no—
1393C22⋊C4—222no—
1394C22⋊C4—222no—
1395C22⋊C4—222no—
1396C22⋊C4—222no—
1397C22⋊C4—222no—
1398C22⋊C4—222no—
1399C22⋊C4—441no—
1400C22⋊C4—441no—
1401C22⋊C4—441no—
1402C22⋊C4—441no—
1403C22⋊C4—441no—
1404C22⋊C4—441no—
1405C22⋊C4—441no—
1406C22⋊C4—441no—
1407C22⋊C4—441no—
1408C22⋊C4—441no—
1409C22⋊C4—441no—
1410C22⋊C4—441no—
1411C22⋊C4D4×D1114yes—
1412C22⋊C4#434114yes—
1413C42—41no—
1414C42—41no—
1415C42—114no—
1416C42—222no—
1417C42—222no—
1418C42—222no—
1419C42—222no—
1420C42—222no—
1421C42—222no—
1422C42—222no—
1423C42—441no—
1424C42—441no—
1425C42—441no—
1426C42—441no—
1427C42—441no—
1428C11#3500911yescharacteristic, complemented, Sylow
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—44no—
1462C23—44no—
1463C23—44no—
1464C23—82no—
1465C23—82no—
1466C23—82no—
1467C23—82no—
1468C23—112no—
1469C23—221no—
1470C23—221no—
1471C23—221no—
1472C23—221no—
1473C23—221no—
1474C23—221no—
1475C23C2×D4×D1112yes—
1476C23C2×#434112yes—
1477C23C2×#434112yes—
1478C23C24×D1111yescharacteristic
1479Q8—882no—
1480Q8—882no—
1481D4—44no—
1482D4—44no—
1483D4—44no—
1484D4—82no—
1485D4—82no—
1486D4—82no—
1487D4—82no—
1488D4—228no—
1489D4—882no—
1490D4—882no—
1491D4—882no—
1492D4—882no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—44no—
1518C2×C4—44no—
1519C2×C4—112no—
1520C2×C4—112no—
1521C2×C4—112no—
1522C2×C4—112no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—221no—
1526C2×C4—221no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—221no—
1530C2×C4—221no—
1531C2×C4—221no—
1532C2×C4—221no—
1533C2×C4—221no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—221no—
1539C2×C4—221no—
1540C2×C4—221no—
1541C2×C4—221no—
1542C2×C4—221no—
1543C2×C4—221no—
1544C2×C4—221no—
1545C2×C4—221no—
1546C2×C4—221no—
1547C2×C4—221no—
1548C2×C4—221no—
1549C2×C4—221no—
1550C2×C4—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
1556C2×C4—221no—
1557C2×C4—221no—
1558C2×C4—221no—
1559C2×C4—221no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—444no—
1565C2×C4—444no—
1566C2×C4—444no—
1567C2×C4—444no—
1568C2×C4—444no—
1569C2×C4—882no—
1570C2×C4—882no—
1571C2×C4—882no—
1572C2×C4—882no—
1573C2×C4C2×D4×D1112yes—
1574C2×C4C2×D4×D1112yes—
1575C2×C4C2×#434112yes—
1576C2×C4C2×#434112yes—
1577C2×C4C2×#434112yes—
1578C2×C4C2×#434112yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—88no—
1614C22—222no—
1615C22—222no—
1616C22—222no—
1617C22—441no—
1618C22—441no—
1619C22—441no—
1620C22—441no—
1621C22#1062324714yes—
1622C22C22×D4×D1111yescharacteristic
1623C22C22×#434111yescharacteristic
1624C22C22×#434111yescharacteristic
1625C22#1062345311yescharacteristic
1626C22#1062345311yescharacteristic
1627C22D11×H(5,𝔽2)11yescharacteristic
1628C22#1062345511yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—22no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—222no—
1640C4—222no—
1641C4—222no—
1642C4—222no—
1643C4—441no—
1644C4—441no—
1645C4—441no—
1646C4—441no—
1647C4—441no—
1648C4—441no—
1649C4—441no—
1650C4—441no—
1651C4—441no—
1652C4—441no—
1653C4—441no—
1654C2—24no—
1655C2—81no—
1656C2—81no—
1657C2—81no—
1658C2—81no—
1659C2—442no—
1660C2C2×#1062324711yescharacteristic
1661C2#1308200411yescharacteristic
1662C2#1308202211yescharacteristic
1663C2#1308237611yescharacteristic
1664C2#1308240211yescharacteristic
1665C2#1308254511yescharacteristic
1666C2#1308267311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2539C2
hypercenter#2539D11
hypocenterC11#35009
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2539

Complements

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

NH ≅ G/Ntype
1. C2×#10623196C2semidirect
2. C2×#10623124C2semidirect
3. #13076987C2semidirect
4. #13076980C2semidirect
5. #13076946C2semidirect
6. #13076916C2semidirect
7. #13074780C2semidirect
8. #13074769C2semidirect
9. #13074758C2semidirect
10. #13074747C2semidirect
11. #13073765C2semidirect
12. #13073750C2semidirect
13. #13073735C2semidirect
14. #13073720C2semidirect
15. #13073622C2semidirect
16. #13073578C2semidirect
17. #13073506C2semidirect
18. #13073314C2semidirect
19. #13073284C2semidirect
20. #13072946C2semidirect
21. #13072741C2semidirect
22. #13072617C2semidirect
23. #13072578C2semidirect
24. #13072163C2semidirect
25. #13072148C2semidirect
26. #13071288C2semidirect
27. #13071277C2semidirect
28. #121×Dic11C2semidirect
29. C2×#10622564C2semidirect
30. C4×(C22⋊D11)⋊C4C2semidirect
31. C11×#2539C2semidirect
51. C2×D4×Dic11C22semidirect
58. C2×#66951C22semidirect
59. C2×#66950C22semidirect
60. C2×#66943C22semidirect
61. C2×#66942C22semidirect
62. C2×#66939C22semidirect
65. C2×#66936C22semidirect
70. C2×#66932C22semidirect
73. C2×#66931C22semidirect
74. C2×C42×D11C22semidirect
86. #10622836C22semidirect
90. #10622835C22semidirect
95. #10622834C22semidirect
106. #10622606C22semidirect
107. #10622606C22semidirect
108. #10622600C22semidirect
109. #10622598C22semidirect
110. #10622598C22semidirect
111. #10622598C22semidirect
112. #10622595C22semidirect
113. #10622595C22semidirect
114. #10622594C22semidirect
115. #10622594C22semidirect
116. #10622593C22semidirect
117. #10622593C22semidirect
118. #10622590C22semidirect
119. C4⋊C4×Dic11C22semidirect
120. #10622587C22semidirect
121. #10622586C22semidirect
125. #10622574C22semidirect
129. #10622569C22semidirect
130. #10622569C22semidirect
131. #10622569C22semidirect
133. #10622566C22semidirect
146. #10622564C22semidirect
147. #10622564C22semidirect
148. #10622564C22semidirect
149. #10622564C22semidirect
152. #10622563C22semidirect
153. #10622563C22semidirect
157. #10622561C22semidirect
159. #10622560C22semidirect
162. #10622558C22semidirect
163. #10622558C22semidirect
167. #10622557C22semidirect
168. #10622557C22semidirect
169. #10622557C22semidirect
172. C22⋊C4×Dic11C22semidirect
173. C22⋊C4×Dic11C22semidirect
174. C4×(C2×D11)⋊C4C22semidirect
175. C4×Dic11⋊C4C22semidirect
176. C42×Dic11C22semidirect
177. #10622542C22semidirect
178. #10622542C22semidirect
179. #10622541C22semidirect
180. #10622541C22semidirect
181. #10622279C22semidirect
182. #10622279C22semidirect
183. #10622274C22semidirect
184. #10622274C22semidirect
185. #10622269C22semidirect
186. #10622269C22semidirect
187. #10622262C22semidirect
188. #10622262C22semidirect
345. (C22⋊D11)⋊C4D4semidirect
612. #2539D11semidirect
1428. C11#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#106231962
C2×#106231242
#130769872
#130769802
#130769462
#130769162
#130747802
#130747692
#130747582
#130747472
#130737652
#130737502
#130737352
#130737202
#130736222
#130735782
#130735062
#130733142
#130732842
#130729462
#130727412
#130726172
#130725782
#130721632
#130721482
#130712882
#130712772
#121×Dic112
C2×#106225642
C4×(C22⋊D11)⋊C42
C11×#25392
#3500911