Finite Group Databasebeta

← D11×#2601 #14924421

Subgroups — D11×#2601 #14924421

Order 2816.

2898 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×#126C211yesmaximal, characteristic, complemented
2C2×D11×#117C211yesmaximal, characteristic, complemented
3#13074220C211yesmaximal, characteristic, complemented
4#13074219C211yesmaximal, characteristic, complemented
5#13074218C211yesmaximal, characteristic, complemented
6#13074217C211yesmaximal, characteristic, complemented
7#13074216C211yesmaximal, characteristic, complemented
8#13074215C211yesmaximal, characteristic, complemented
9#13074214C211yesmaximal, characteristic, complemented
10#13074213C211yesmaximal, characteristic, complemented
11#13074212C211yesmaximal, characteristic, complemented
12#13074211C211yesmaximal, characteristic, complemented
13#13074210C211yesmaximal, characteristic, complemented
14#13074209C211yesmaximal, characteristic, complemented
15#13074208C211yesmaximal, characteristic, complemented
16#13074207C211yesmaximal, characteristic, complemented
17#13074206C211yesmaximal, characteristic, complemented
18D11×#398C211yesmaximal, characteristic, complemented
19D11×#396C211yesmaximal, characteristic, complemented
20D11×#396C211yesmaximal, characteristic, complemented
21D11×#394C211yesmaximal, characteristic
22D11×#390C211yesmaximal, characteristic
23D11×#389C211yesmaximal, characteristic, complemented
24D11×#388C211yesmaximal, characteristic, complemented
25D11×#388C211yesmaximal, characteristic, complemented
26D11×#388C211yesmaximal, characteristic, complemented
27D11×#387C211yesmaximal, characteristic, complemented
28D11×#386C211yesmaximal, characteristic
29D11×#385C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2601C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#126C2211yescharacteristic, complemented
35C2×C11×#117C2211yescharacteristic, complemented
36C2×#66979C2211yescharacteristic, complemented
37D11×#126—28no—
38D11×#117—28no—
39C2×#66951C2211yescharacteristic, complemented
40C2×#66951C2211yescharacteristic, complemented
41C2×#66951C2211yescharacteristic, complemented
42C2×#66945C2211yescharacteristic, complemented
43C2×#66945C2211yescharacteristic, complemented
44C2×C4⋊C4×D11C2211yescharacteristic
45C2×C4⋊C4×D11C2211yescharacteristic
46C2×C4⋊C4×D11C2211yescharacteristic
47C2×C4⋊C4×D11C2211yescharacteristic
48C2×C4⋊C4×D11C2211yescharacteristic
49C2×C4⋊C4×D11C2211yescharacteristic
50C2×C4⋊C4×D11C2211yescharacteristic
51C2×C4⋊C4×D11C2211yescharacteristic
52C2×C4⋊C4×D11C2211yescharacteristic
53C2×C4⋊C4×D11C2211yescharacteristic
54C2×C22⋊C4×D11C2211yescharacteristic
55C2×C22⋊C4×D11C2211yescharacteristic
56C2×C22⋊C4×D11C2211yescharacteristic
57C2×C22⋊C4×D11C2211yescharacteristic
58C2×C22⋊C4×D11C2211yescharacteristic
59C2×C22⋊C4×D11C2211yescharacteristic
60C2×C22⋊C4×D11C2211yescharacteristic
61C2×C22⋊C4×D11C2211yescharacteristic
62C2×C22⋊C4×D11C2211yescharacteristic
63C2×C22⋊C4×D11C2211yescharacteristic
64C2×C22⋊C4×D11C2211yescharacteristic
65C2×#66932C2211yescharacteristic, complemented
66C2×#66932C2211yescharacteristic, complemented
67C2×#66932C2211yescharacteristic, complemented
68C2×#66930C2211yescharacteristic, complemented
69C2×#66930C2211yescharacteristic, complemented
70C2×#66929C2211yescharacteristic, complemented
71C2×#66925C2211yescharacteristic, complemented
72C2×#66925C2211yescharacteristic, complemented
73C2×C42×D11C2211yescharacteristic
74C2×C42×D11C2211yescharacteristic
75C2×C42×D11C2211yescharacteristic
76C2×C42×D11C2211yescharacteristic
77C11×#398C2211yescharacteristic, complemented
78C11×#396C2211yescharacteristic, complemented
79C11×#396C2211yescharacteristic, complemented
80C11×#394C2211yescharacteristic
81C11×#390C2211yescharacteristic
82C11×#389C2211yescharacteristic, complemented
83C11×#388C2211yescharacteristic, complemented
84C11×#388C2211yescharacteristic, complemented
85C11×#388C2211yescharacteristic, complemented
86C11×#387C2211yescharacteristic, complemented
87C11×#386C2211yescharacteristic
88C11×#385C2211yescharacteristic, complemented
89C4×C11×C4⋊C4C2211yescharacteristic, complemented
90#10622835C2211yescharacteristic
91#10622834C2211yescharacteristic
92#10622833C2211yescharacteristic
93#10622826C2211yescharacteristic
94#10622823C2211yescharacteristic, complemented
95#10622607C2211yescharacteristic, complemented
96#10622607C2211yescharacteristic, complemented
97#10622607C2211yescharacteristic, complemented
98#10622607C2211yescharacteristic, complemented
99#10622607C2211yescharacteristic, complemented
100#10622607C2211yescharacteristic, complemented
101#10622604C2211yescharacteristic
102#10622603C2211yescharacteristic, complemented
103#10622603C2211yescharacteristic, complemented
104#10622603C2211yescharacteristic, complemented
105#10622602C2211yescharacteristic, complemented
106#10622602C2211yescharacteristic, complemented
107#10622601C2211yescharacteristic
108#10622598C2211yescharacteristic, complemented
109#10622597C2211yescharacteristic, complemented
110#10622597C2211yescharacteristic, complemented
111#10622596C2211yescharacteristic, complemented
112#10622594C2211yescharacteristic, complemented
113#10622593C2211yescharacteristic, complemented
114#10622591C2211yescharacteristic, complemented
115C4⋊C4×Dic11C2211yescharacteristic, complemented
116C4⋊C4×Dic11C2211yescharacteristic, complemented
117#10622586C2211yescharacteristic, complemented
118#10622585C2211yescharacteristic, complemented
119#10622585C2211yescharacteristic, complemented
120#10622574C2211yescharacteristic
121#10622574C2211yescharacteristic
122#10622572C2211yescharacteristic
123#10622572C2211yescharacteristic
124#10622571C2211yescharacteristic
125#10622570C2211yescharacteristic
126#10622570C2211yescharacteristic
127#10622570C2211yescharacteristic
128#10622570C2211yescharacteristic
129#10622569C2211yescharacteristic
130#10622569C2211yescharacteristic
131#10622564C2211yescharacteristic, complemented
132#10622564C2211yescharacteristic, complemented
133#10622564C2211yescharacteristic, complemented
134#10622563C2211yescharacteristic, complemented
135#10622561C2211yescharacteristic, complemented
136#10622561C2211yescharacteristic, complemented
137#10622561C2211yescharacteristic, complemented
138#10622561C2211yescharacteristic, complemented
139#10622561C2211yescharacteristic, complemented
140#10622561C2211yescharacteristic, complemented
141#10622559C2211yescharacteristic, complemented
142#10622558C2211yescharacteristic, complemented
143#10622558C2211yescharacteristic, complemented
144#10622558C2211yescharacteristic, complemented
145#10622557C2211yescharacteristic, complemented
146#10622557C2211yescharacteristic, complemented
147#10622557C2211yescharacteristic, complemented
148#10622553C2211yescharacteristic, complemented
149#10622553C2211yescharacteristic, complemented
150#10622553C2211yescharacteristic, complemented
151#10622552C2211yescharacteristic
152C4×C4⋊Dic11C2211yescharacteristic, complemented
153#10622546C2211yescharacteristic, complemented
154C4×Dic11⋊C4C2211yescharacteristic, complemented
155C4×Dic11⋊C4C2211yescharacteristic, complemented
156#10622541C2211yescharacteristic, complemented
157#10622289C2211yescharacteristic, complemented
158#10622289C2211yescharacteristic, complemented
159#10622285C2211yescharacteristic
160#10622283C2211yescharacteristic, complemented
161#10622283C2211yescharacteristic, complemented
162#10622283C2211yescharacteristic, complemented
163#10622282C2211yescharacteristic, complemented
164#10622282C2211yescharacteristic, complemented
165#10622282C2211yescharacteristic, complemented
166#10622281C2211yescharacteristic, complemented
167#10622281C2211yescharacteristic, complemented
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170D11×#95C2211yescharacteristic
171D11×#95C2211yescharacteristic
172D11×#95C2211yescharacteristic
173D11×#95C2211yescharacteristic
174D11×#95C2211yescharacteristic
175D11×#95C2211yescharacteristic
176D11×#95C2211yescharacteristic
177D11×#95C2211yescharacteristic
178#10622274C2211yescharacteristic, complemented
179#10622270C2211yescharacteristic, complemented
180#10622270C2211yescharacteristic, complemented
181#10622268C2211yescharacteristic, complemented
182#10622267C2211yescharacteristic, complemented
183#10622266C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622262C2211yescharacteristic, complemented
186#10622262C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622260C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C2×D4×D11—24no—
197C2×D4×D11—24no—
198C2×D4×D11—42no—
199C22×D44C2311yescharacteristic
200C22×C4×D11—24no—
201C22×C4×D11—24no—
202C22×C4×D11—24no—
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C11×#126—24no—
219C11×#117—24no—
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊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×C42×C11C2311yescharacteristic
242C2×C42×C11C2311yescharacteristic
243C2×C42×C11C2311yescharacteristic
244C2×C42×C11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
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×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278#66979—24no—
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321#66951—24no—
322#66951—24no—
323#66951—24no—
324#66945—24no—
325#66945—24no—
326C4⋊C4×D11—24no—
327C4⋊C4×D11—24no—
328C4⋊C4×D11—24no—
329C4⋊C4×D11—24no—
330C4⋊C4×D11—24no—
331C4⋊C4×D11—24no—
332C4⋊C4×D11—24no—
333C4⋊C4×D11—24no—
334C4⋊C4×D11—24no—
335C4⋊C4×D11—42no—
336C22⋊C4×D11—24no—
337C22⋊C4×D11—24no—
338C22⋊C4×D11—24no—
339C22⋊C4×D11—24no—
340C22⋊C4×D11—24no—
341C22⋊C4×D11—24no—
342C22⋊C4×D11—24no—
343C22⋊C4×D11—24no—
344C22⋊C4×D11—24no—
345C22⋊C4×D11—42no—
346C22⋊C4×D11—42no—
347#66932—24no—
348#66932—24no—
349#66932—24no—
350#66930—24no—
351#66930—24no—
352#66929—24no—
353#66925—24no—
354#66925—24no—
355C42×D11—24no—
356C42×D11—42no—
357C42×D11—42no—
358C42×D11D418yescomplemented
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
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391C2×#2601—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C23×D11—22no—
395C23×D11—22no—
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—22no—
399C23×D11—22no—
400C23×D11—22no—
401C23×D11—22no—
402C23×D11—22no—
403C23×D11—22no—
404C23×D11—22no—
405C23×D11—22no—
406C23×D11—22no—
407C23×D11#4114yes—
408C23×D11C2411yescharacteristic
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C2×D4×C11—22no—
412C2×D4×C11—22no—
413C2×D4×C11—41no—
414C22×C4×C11—22no—
415C22×C4×C11—22no—
416C22×C4×C11—22no—
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C2×C22⋊D11—22no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—41no—
435C2×C22⋊D11—41no—
436C22×Dic11—22no—
437C22×Dic11—22no—
438C22×Dic11—22no—
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452D4×D11—416no—
453C2×D44—22no—
454C2×D44—22no—
455C2×D44—41no—
456C2×C4×D11—232no—
457C2×C4×D11—22no—
458C2×C4×D11—22no—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—22no—
463C2×C4×D11—22no—
464C2×C4×D11—22no—
465C2×C4×D11—22no—
466C2×C4×D11—22no—
467C2×C4×D11—22no—
468C2×C4×D11—22no—
469C2×C4×D11—22no—
470C2×C4×D11—22no—
471C2×C4×D11—22no—
472C2×C4×D11—22no—
473C2×C4×D11—22no—
474C2×C4×D11—22no—
475C2×C4×D11—22no—
476C2×C4×D11—22no—
477C2×C4×D11—22no—
478C2×C4×D11—22no—
479C2×C4×D11—22no—
480C2×C4×D11—22no—
481C2×C4×D11—22no—
482C2×C4×D11—22no—
483C2×C4×D11—22no—
484C2×C4×D11—22no—
485C2×C4×D11—22no—
486C2×C4×D11—22no—
487C2×C4×D11—22no—
488C2×C4×D11—22no—
489C2×C4×D11—22no—
490C2×C4×D11—22no—
491C2×C4×D11—22no—
492C2×C4×D11—22no—
493C2×C4×D11—22no—
494C2×C4×D11—22no—
495C2×C4×D11—22no—
496C2×C4×D11C2×D414yes—
497C2×C4×D11C2×D414yes—
498C2×C4×D11C2×D414yes—
499C2×C4×D11#4114yes—
500C2×C4×D11#4114yes—
501C2×C4×D11#4114yes—
502C11×C4⋊C4—22no—
503C11×C4⋊C4—22no—
504C11×C4⋊C4—22no—
505C11×C4⋊C4—22no—
506C11×C4⋊C4—22no—
507C11×C4⋊C4—22no—
508C11×C4⋊C4—22no—
509C11×C4⋊C4—22no—
510C11×C4⋊C4—22no—
511C11×C4⋊C4—41no—
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⋊C4—22no—
519C11×C22⋊C4—22no—
520C11×C22⋊C4—22no—
521C11×C22⋊C4—41no—
522C11×C22⋊C4—41no—
523C42×C11—22no—
524C42×C11—41no—
525C42×C11—41no—
526C42×C11C2×D414yescomplemented
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—41no—
537C22⋊Dic11—41no—
538(C2×D11)⋊C4—22no—
539(C2×D11)⋊C4—22no—
540(C2×D11)⋊C4—22no—
541(C2×D11)⋊C4—22no—
542(C2×D11)⋊C4—22no—
543(C2×D11)⋊C4—22no—
544(C2×D11)⋊C4—22no—
545(C2×D11)⋊C4—22no—
546(C2×D11)⋊C4—22no—
547(C2×D11)⋊C4—22no—
548(C2×D11)⋊C4—22no—
549(C2×D11)⋊C4—22no—
550(C2×D11)⋊C4—22no—
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—41no—
557(C2×D11)⋊C4—41no—
558(C2×D11)⋊C4—41no—
559(C2×D11)⋊C4—41no—
560C4⋊Dic11—22no—
561C4⋊Dic11—22no—
562C4⋊Dic11—22no—
563C4⋊Dic11—22no—
564C4⋊Dic11—22no—
565C4⋊Dic11—22no—
566C4⋊Dic11—22no—
567C4⋊Dic11—22no—
568C4⋊Dic11—22no—
569C4⋊Dic11—41no—
570Dic11⋊C4—22no—
571Dic11⋊C4—22no—
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⋊C4—22no—
583Dic11⋊C4—22no—
584Dic11⋊C4—22no—
585Dic11⋊C4—22no—
586Dic11⋊C4—22no—
587Dic11⋊C4—22no—
588Dic11⋊C4—41no—
589Dic11⋊C4—41no—
590C4×Dic11—22no—
591C4×Dic11—22no—
592C4×Dic11—22no—
593C4×Dic11—41no—
594C4×Dic11—41no—
595C4×Dic11—41no—
596C4×Dic11—41no—
597C4×Dic11—41no—
598C4×Dic11—41no—
599C4×Dic11C2×D414yescomplemented
600C4×Dic11C2×D414yescomplemented
601C4×Dic11C2×D414yescomplemented
602C22×#126—111no—
603C22×#117—111no—
604#2601—111no—
605#2601—111no—
606#2601—111no—
607#2601—111no—
608#2601—111no—
609#2601—111no—
610#2601—111no—
611#2601—111no—
612#2601—111no—
613#2601—111no—
614#2601—111no—
615#2601—111no—
616#2601—111no—
617#2601—111no—
618#2601—111no—
619#2601D1111yescharacteristic, direct product factor
620C2×#398—111no—
621C2×#396—111no—
622C2×#396—111no—
623C2×#394—111no—
624C2×#390—111no—
625C2×#389—111no—
626C2×#388—111no—
627C2×#388—111no—
628C2×#388—111no—
629C2×#387—111no—
630C2×#386—111no—
631C2×#385—111no—
632C2×C4×C4⋊C4—111no—
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×C11C2×#4112yes—
647C23×C11C2511yescharacteristic
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—28no—
655C22×D11—28no—
656C22×D11—28no—
657C22×D11—21no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11—21no—
664C22×D11—44no—
665C22×D11—44no—
666C22×D11—44no—
667C22×D11—44no—
668C22×D11—44no—
669C22×D11—44no—
670C22×D11—44no—
671C22×D11—44no—
672C22×D11—44no—
673C22×D11—44no—
674C22×D11—44no—
675C22×D11C22×D412yes—
676C22×D11C2×#4112yes—
677C22×D11C2×#4112yes—
678C22×D11C2×#4112yes—
679C22×D11C2×#4112yes—
680C22×D11C2×#4112yes—
681C22×D11H(5,𝔽2)12yes—
682C22×D112−1+412yes—
683D4×C11—44no—
684C2×C4×C11—28no—
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—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11C22×D412yes—
719C2×C4×C11C22×D412yes—
720C2×C4×C11C22×D412yes—
721C2×C4×C11C2×#4112yes—
722C2×C4×C11C2×#4112yes—
723C2×C4×C11C2×#4112yes—
724C22⋊D11—44no—
725C22⋊D11—44no—
726C2×Dic11—28no—
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×Dic11C22×D412yes—
761C2×Dic11C22×D412yes—
762C2×Dic11C22×D412yes—
763C2×Dic11C2×#4112yes—
764C2×Dic11C2×#4112yes—
765C2×Dic11C2×#4112yes—
766D44—44no—
767C4×D11—28no—
768C4×D11—28no—
769C4×D11—28no—
770C4×D11—28no—
771C4×D11—28no—
772C4×D11—28no—
773C4×D11—28no—
774C4×D11—28no—
775C4×D11—44no—
776C4×D11—44no—
777C4×D11—44no—
778C4×D11—44no—
779C4×D11—44no—
780C4×D11—44no—
781C4×D11—44no—
782C23×D4—111no—
783C24×C4—111no—
784C2×#126—111no—
785C2×#126—111no—
786C2×#126—111no—
787C2×#126—111no—
788C2×#126—111no—
789C2×#126—111no—
790C2×#126—111no—
791C2×#126—228no—
792C2×#126C2×D1111yescharacteristic, complemented
793C2×#117—111no—
794C2×#117—111no—
795C2×#117—111no—
796C2×#117—111no—
797C2×#117—111no—
798C2×#117—111no—
799C2×#117—111no—
800C2×#117—228no—
801C2×#117C2×D1111yescharacteristic, complemented
802C22×C4⋊C4—111no—
803C22×C4⋊C4—111no—
804C22×C4⋊C4—111no—
805C22×C4⋊C4—111no—
806C22×C4⋊C4—111no—
807C22×C4⋊C4—111no—
808C22×C4⋊C4—111no—
809C22×C4⋊C4—111no—
810C22×C4⋊C4—111no—
811C22×C4⋊C4—111no—
812C22×C22⋊C4—111no—
813C22×C22⋊C4—111no—
814C22×C22⋊C4—111no—
815C22×C22⋊C4—111no—
816C22×C22⋊C4—111no—
817C22×C22⋊C4—111no—
818C22×C22⋊C4—111no—
819C22×C22⋊C4—111no—
820C22×C22⋊C4—111no—
821C22×C22⋊C4—111no—
822C22×C22⋊C4—111no—
823C22×C42—111no—
824C22×C42—111no—
825C22×C42—111no—
826C22×C42—111no—
827#398—111no—
828#398—111no—
829#398—111no—
830#398—111no—
831#398—111no—
832#398—111no—
833#398—111no—
834#398C2×D1111yescharacteristic, complemented
835#396—111no—
836#396—111no—
837#396—111no—
838#396—111no—
839#396—111no—
840#396—111no—
841#396—111no—
842#396—111no—
843#396—111no—
844#396—111no—
845#396—111no—
846#396—111no—
847#396—111no—
848#396—111no—
849#396C2×D1111yescharacteristic, complemented
850#396C2×D1111yescharacteristic, complemented
851#394—111no—
852#394—111no—
853#394—111no—
854#394—111no—
855#394—111no—
856#394—111no—
857#394—111no—
858#394C2×D1111yescharacteristic
859#390—111no—
860#390—111no—
861#390—111no—
862#390—111no—
863#390—111no—
864#390—111no—
865#390—111no—
866#390C2×D1111yescharacteristic
867#389—111no—
868#389—111no—
869#389—111no—
870#389—111no—
871#389—111no—
872#389—111no—
873#389—111no—
874#389C2×D1111yescharacteristic, complemented
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#388C2×D1111yescharacteristic, complemented
897#388C2×D1111yescharacteristic, complemented
898#388C2×D1111yescharacteristic, complemented
899#387—111no—
900#387—111no—
901#387—111no—
902#387—111no—
903#387—111no—
904#387—111no—
905#387—111no—
906#387C2×D1111yescharacteristic, complemented
907#386—111no—
908#386—111no—
909#386—111no—
910#386—111no—
911#386—111no—
912#386—111no—
913#386—111no—
914#386C2×D1111yescharacteristic
915#385—111no—
916#385—111no—
917#385—111no—
918#385—111no—
919#385—111no—
920#385—111no—
921#385—111no—
922#385C2×D1111yescharacteristic, complemented
923C4×C4⋊C4—111no—
924C4×C4⋊C4—111no—
925C4×C4⋊C4—111no—
926C4×C4⋊C4—111no—
927C4×C4⋊C4—111no—
928C4×C4⋊C4—111no—
929C4×C4⋊C4—111no—
930C4×C4⋊C4C2×D1111yescharacteristic, complemented
931C2×#95—111no—
932C2×#95—111no—
933C2×#95—111no—
934C2×#95—111no—
935C2×#95—111no—
936C2×#95—111no—
937C2×#95—111no—
938C2×#95—111no—
939C22×C11—22no—
940C22×C11—22no—
941C22×C11—22no—
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×C11C23×D411yescharacteristic
954C22×C11C22×#4111yescharacteristic
955C22×C11C22×#4111yescharacteristic
956C22×C11C22×#4111yescharacteristic
957C22×C11C22×#4111yescharacteristic
958C22×C11C2×H(5,𝔽2)11yescharacteristic
959C22×C11C2×2−1+411yescharacteristic
960C2×D11—22no—
961C2×D11—22no—
962C2×D11—22no—
963C2×D11—41no—
964C2×D11—41no—
965C2×D11—41no—
966C2×D11—41no—
967C2×D11—416no—
968C2×D11—41no—
969C2×D11—41no—
970C2×D11—41no—
971C2×D11—41no—
972C2×D11—41no—
973C2×D11—41no—
974C2×D11—41no—
975C2×D11—88no—
976C2×D11#52514yes—
977C2×D11#53214yes—
978C2×D11#53714yes—
979C2×D11#55114yes—
980C2×D11#55214yes—
981C2×D11#55314yes—
982C2×D11#55614yes—
983C4×C11—22no—
984C4×C11—22no—
985C4×C11—22no—
986C4×C11—22no—
987C4×C11—22no—
988C4×C11—22no—
989C4×C11—41no—
990C4×C11—41no—
991C4×C11—41no—
992C4×C11—41no—
993C4×C11—41no—
994C4×C11—41no—
995C4×C11—41no—
996Dic11—22no—
997Dic11—22no—
998Dic11—22no—
999Dic11—22no—
1000Dic11—22no—
1001Dic11—22no—
1002Dic11—41no—
1003Dic11—41no—
1004Dic11—41no—
1005Dic11—41no—
1006Dic11—41no—
1007Dic11—41no—
1008Dic11—41no—
1009C25—111no—
1010C25—111no—
1011C22×D4—111no—
1012C22×D4—111no—
1013C22×D4—111no—
1014C22×D4—224no—
1015C22×D4—224no—
1016C22×D4—442no—
1017C22×D4C22×D1111yescharacteristic
1018C23×C4—111no—
1019C23×C4—111no—
1020C23×C4—111no—
1021C23×C4—111no—
1022C23×C4—111no—
1023C23×C4—111no—
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×C4—111no—
1034C23×C4—224no—
1035C23×C4—224no—
1036C23×C4—224no—
1037C23×C4C22×D1111yescharacteristic
1038#126—24no—
1039#126—224no—
1040#126—224no—
1041#126—224no—
1042#126—224no—
1043#126—224no—
1044#126—224no—
1045#126—224no—
1046#117—24no—
1047#117—224no—
1048#117—224no—
1049#117—224no—
1050#117—224no—
1051#117—224no—
1052#117—224no—
1053#117—224no—
1054C2×C4⋊C4—111no—
1055C2×C4⋊C4—111no—
1056C2×C4⋊C4—111no—
1057C2×C4⋊C4—111no—
1058C2×C4⋊C4—111no—
1059C2×C4⋊C4—111no—
1060C2×C4⋊C4—111no—
1061C2×C4⋊C4—111no—
1062C2×C4⋊C4—111no—
1063C2×C4⋊C4—111no—
1064C2×C4⋊C4—111no—
1065C2×C4⋊C4—111no—
1066C2×C4⋊C4—111no—
1067C2×C4⋊C4—111no—
1068C2×C4⋊C4—111no—
1069C2×C4⋊C4—111no—
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—224no—
1085C2×C4⋊C4—224no—
1086C2×C4⋊C4—224no—
1087C2×C4⋊C4—224no—
1088C2×C4⋊C4—224no—
1089C2×C4⋊C4—224no—
1090C2×C4⋊C4—224no—
1091C2×C4⋊C4—224no—
1092C2×C4⋊C4—224no—
1093C2×C4⋊C4—442no—
1094C2×C4⋊C4C22×D1111yescharacteristic
1095C2×C4⋊C4C22×D1111yescharacteristic
1096C2×C4⋊C4C22×D1111yescharacteristic
1097C2×C4⋊C4C22×D1111yescharacteristic
1098C2×C4⋊C4C22×D1111yescharacteristic
1099C2×C4⋊C4C22×D1111yescharacteristic
1100C2×C4⋊C4C22×D1111yescharacteristic
1101C2×C4⋊C4C22×D1111yescharacteristic
1102C2×C4⋊C4C22×D1111yescharacteristic
1103C2×C4⋊C4C22×D1111yescharacteristic
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—224no—
1138C2×C22⋊C4—224no—
1139C2×C22⋊C4—224no—
1140C2×C22⋊C4—224no—
1141C2×C22⋊C4—224no—
1142C2×C22⋊C4—224no—
1143C2×C22⋊C4—224no—
1144C2×C22⋊C4—224no—
1145C2×C22⋊C4—224no—
1146C2×C22⋊C4—442no—
1147C2×C22⋊C4—442no—
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×C22⋊C4C22×D1111yescharacteristic
1157C2×C22⋊C4C22×D1111yescharacteristic
1158C2×C22⋊C4C22×D1111yescharacteristic
1159C2×C42—111no—
1160C2×C42—111no—
1161C2×C42—111no—
1162C2×C42—118no—
1163C2×C42—111no—
1164C2×C42—111no—
1165C2×C42—111no—
1166C2×C42—111no—
1167C2×C42—111no—
1168C2×C42—111no—
1169C2×C42—111no—
1170C2×C42—111no—
1171C2×C42—111no—
1172C2×C42—224no—
1173C2×C42—442no—
1174C2×C42—442no—
1175C2×C42C22×D1111yescharacteristic
1176C2×C42C22×D1111yescharacteristic
1177C2×C42C22×D1111yescharacteristic
1178C2×C42C22×D1111yescharacteristic
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
1205#95C22×D1111yescharacteristic
1206#95C22×D1111yescharacteristic
1207#95C22×D1111yescharacteristic
1208#95C22×D1111yescharacteristic
1209#95C22×D1111yescharacteristic
1210#95C22×D1111yescharacteristic
1211C2×C11—42no—
1212C2×C11—81no—
1213C2×C11C2×#52511yescharacteristic
1214C2×C11C2×#53211yescharacteristic
1215C2×C11C2×#53711yescharacteristic
1216C2×C11C2×#55111yescharacteristic
1217C2×C11C2×#55211yescharacteristic
1218C2×C11C2×#55311yescharacteristic
1219C2×C11C2×#55611yescharacteristic
1220D11—42no—
1221D11—81no—
1222D11#260118yesdirect product factor
1223C24—111no—
1224C24—114no—
1225C24—111no—
1226C24—111no—
1227C24—222no—
1228C24—222no—
1229C24—222no—
1230C24—222no—
1231C24—222no—
1232C24—222no—
1233C24—222no—
1234C24—222no—
1235C24—222no—
1236C24—222no—
1237C24—222no—
1238C24—222no—
1239C24—222no—
1240C24C23×D1111yescharacteristic
1241C24C23×D1111yescharacteristic
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—41no—
1245C2×D4—222no—
1246C2×D4—222no—
1247C2×D4—222no—
1248C2×D4—222no—
1249C2×D4—222no—
1250C2×D4—222no—
1251C2×D4—441no—
1252C2×D4—4416no—
1253C2×D4—441no—
1254C2×D4—441no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—111no—
1259C22×C4—111no—
1260C22×C4—111no—
1261C22×C4—111no—
1262C22×C4—111no—
1263C22×C4—111no—
1264C22×C4—114no—
1265C22×C4—114no—
1266C22×C4—114no—
1267C22×C4—114no—
1268C22×C4—114no—
1269C22×C4—114no—
1270C22×C4—111no—
1271C22×C4—111no—
1272C22×C4—111no—
1273C22×C4—111no—
1274C22×C4—111no—
1275C22×C4—111no—
1276C22×C4—111no—
1277C22×C4—222no—
1278C22×C4—222no—
1279C22×C4—222no—
1280C22×C4—222no—
1281C22×C4—222no—
1282C22×C4—222no—
1283C22×C4—222no—
1284C22×C4—222no—
1285C22×C4—222no—
1286C22×C4—222no—
1287C22×C4—222no—
1288C22×C4—222no—
1289C22×C4—222no—
1290C22×C4—222no—
1291C22×C4—222no—
1292C22×C4—222no—
1293C22×C4—2232no—
1294C22×C4—222no—
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—222no—
1305C22×C4—222no—
1306C22×C4—222no—
1307C22×C4—222no—
1308C22×C4—222no—
1309C22×C4—222no—
1310C22×C4—222no—
1311C22×C4—222no—
1312C22×C4—222no—
1313C22×C4—222no—
1314C22×C4—222no—
1315C22×C4—222no—
1316C22×C4—222no—
1317C22×C4—222no—
1318C22×C4—222no—
1319C22×C4—222no—
1320C22×C4C23×D1111yescharacteristic
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
1331C22×C4C23×D1111yescharacteristic
1332C22×C4C23×D1111yescharacteristic
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—41no—
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—222no—
1356C4⋊C4—222no—
1357C4⋊C4—222no—
1358C4⋊C4—222no—
1359C4⋊C4—222no—
1360C4⋊C4—222no—
1361C4⋊C4—222no—
1362C4⋊C4—222no—
1363C4⋊C4—222no—
1364C4⋊C4—222no—
1365C4⋊C4—222no—
1366C4⋊C4—222no—
1367C4⋊C4—222no—
1368C4⋊C4—222no—
1369C4⋊C4—222no—
1370C4⋊C4—441no—
1371C4⋊C4—441no—
1372C4⋊C4—441no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
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—222no—
1400C22⋊C4—222no—
1401C22⋊C4—222no—
1402C22⋊C4—222no—
1403C22⋊C4—222no—
1404C22⋊C4—222no—
1405C22⋊C4—222no—
1406C22⋊C4—222no—
1407C22⋊C4—222no—
1408C22⋊C4—222no—
1409C22⋊C4—222no—
1410C22⋊C4—222no—
1411C22⋊C4—441no—
1412C22⋊C4—441no—
1413C22⋊C4—441no—
1414C22⋊C4—441no—
1415C22⋊C4—441no—
1416C22⋊C4—441no—
1417C42—22no—
1418C42—41no—
1419C42—41no—
1420C42—114no—
1421C42—114no—
1422C42—114no—
1423C42—222no—
1424C42—222no—
1425C42—222no—
1426C42—441no—
1427C42—441no—
1428C42—441no—
1429C42—441no—
1430C42—441no—
1431C42—441no—
1432C42D4×D1114yescomplemented
1433C11C2×#260111yescharacteristic, complemented, Sylow
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—112no—
1448C23—112no—
1449C23—112no—
1450C23—112no—
1451C23—112no—
1452C23—112no—
1453C23—112no—
1454C23—112no—
1455C23—228no—
1456C23—228no—
1457C23—228no—
1458C23—221no—
1459C23—221no—
1460C23—221no—
1461C23—221no—
1462C23—221no—
1463C23—221no—
1464C23—221no—
1465C23—221no—
1466C23—221no—
1467C23—221no—
1468C23—221no—
1469C23—221no—
1470C23—221no—
1471C23—444no—
1472C23—444no—
1473C23—444no—
1474C23—444no—
1475C23—444no—
1476C23—444no—
1477C23—444no—
1478C23—444no—
1479C23—444no—
1480C23—444no—
1481C23—444no—
1482C23#41×D1112yes—
1483C23C24×D1111yescharacteristic
1484D4—44no—
1485D4—444no—
1486D4—444no—
1487D4—444no—
1488C2×C4—28no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
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—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—112no—
1523C2×C4—112no—
1524C2×C4—112no—
1525C2×C4—112no—
1526C2×C4—112no—
1527C2×C4—112no—
1528C2×C4—228no—
1529C2×C4—228no—
1530C2×C4—228no—
1531C2×C4—228no—
1532C2×C4—228no—
1533C2×C4—228no—
1534C2×C4—228no—
1535C2×C4—228no—
1536C2×C4—228no—
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—221no—
1565C2×C4—221no—
1566C2×C4—221no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—221no—
1570C2×C4—444no—
1571C2×C4—444no—
1572C2×C4—444no—
1573C2×C4—444no—
1574C2×C4—444no—
1575C2×C4—444no—
1576C2×C4—444no—
1577C2×C4C2×D4×D1112yes—
1578C2×C4C2×D4×D1112yes—
1579C2×C4C2×D4×D1112yes—
1580C2×C4#41×D1112yes—
1581C2×C4#41×D1112yes—
1582C2×C4#41×D1112yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—114no—
1598C22—114no—
1599C22—114no—
1600C22—114no—
1601C22—114no—
1602C22—114no—
1603C22—114no—
1604C22—222no—
1605C22—222no—
1606C22—222no—
1607C22—4416no—
1608C22—441no—
1609C22—441no—
1610C22—441no—
1611C22—441no—
1612C22—441no—
1613C22—441no—
1614C22—441no—
1615C22—441no—
1616C22—441no—
1617C22—441no—
1618C22—441no—
1619C22—888no—
1620C22C22×D4×D1111yescharacteristic
1621C22C2×#41×D1111yescharacteristic
1622C22C2×#41×D1111yescharacteristic
1623C22C2×#41×D1111yescharacteristic
1624C22C2×#41×D1111yescharacteristic
1625C22D11×H(5,𝔽2)11yescharacteristic
1626C22D11×2−1+411yescharacteristic
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—222no—
1641C4—222no—
1642C4—222no—
1643C4—222no—
1644C4—222no—
1645C4—222no—
1646C4—441no—
1647C4—441no—
1648C4—441no—
1649C4—441no—
1650C4—441no—
1651C4—441no—
1652C4—441no—
1653C2—42no—
1654C2—81no—
1655C2—118no—
1656C2—442no—
1657C2—881no—
1658C2D11×#52511yescharacteristic
1659C2D11×#53211yescharacteristic
1660C2D11×#53711yescharacteristic
1661C2D11×#55111yescharacteristic
1662C2D11×#55211yescharacteristic
1663C2D11×#55311yescharacteristic
1664C2D11×#55611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2601C2
prime radicalC22×D4×D11C22
hypercenter#2601D11
hypocenterC11C2×#2601
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2601

Complements

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

NH ≅ G/Ntype
1. C2×D11×#126C2semidirect
2. C2×D11×#117C2semidirect
3. #13074220C2semidirect
4. #13074219C2semidirect
5. #13074218C2semidirect
6. #13074217C2semidirect
7. #13074216C2semidirect
8. #13074215C2semidirect
9. #13074214C2semidirect
10. #13074213C2semidirect
11. #13074212C2semidirect
12. #13074211C2semidirect
13. #13074210C2semidirect
14. #13074209C2semidirect
15. #13074208C2semidirect
16. #13074207C2semidirect
17. #13074206C2semidirect
18. D11×#398C2semidirect
19. D11×#396C2semidirect
20. D11×#396C2semidirect
23. D11×#389C2semidirect
24. D11×#388C2semidirect
25. D11×#388C2semidirect
26. D11×#388C2semidirect
27. D11×#387C2semidirect
29. D11×#385C2semidirect
30. C4×C4⋊C4×D11C2semidirect
31. C11×#2601C2semidirect
34. C2×C11×#126C22semidirect
35. C2×C11×#117C22semidirect
36. C2×#66979C22semidirect
39. C2×#66951C22semidirect
40. C2×#66951C22semidirect
41. C2×#66951C22semidirect
42. C2×#66945C22semidirect
43. C2×#66945C22semidirect
65. C2×#66932C22semidirect
66. C2×#66932C22semidirect
67. C2×#66932C22semidirect
68. C2×#66930C22semidirect
69. C2×#66930C22semidirect
70. C2×#66929C22semidirect
71. C2×#66925C22semidirect
72. C2×#66925C22semidirect
77. C11×#398C22semidirect
78. C11×#396C22semidirect
79. C11×#396C22semidirect
82. C11×#389C22semidirect
83. C11×#388C22semidirect
84. C11×#388C22semidirect
85. C11×#388C22semidirect
86. C11×#387C22semidirect
88. C11×#385C22semidirect
89. C4×C11×C4⋊C4C22semidirect
94. #10622823C22semidirect
95. #10622607C22semidirect
96. #10622607C22semidirect
97. #10622607C22semidirect
98. #10622607C22semidirect
99. #10622607C22semidirect
100. #10622607C22semidirect
102. #10622603C22semidirect
103. #10622603C22semidirect
104. #10622603C22semidirect
105. #10622602C22semidirect
106. #10622602C22semidirect
108. #10622598C22semidirect
109. #10622597C22semidirect
110. #10622597C22semidirect
111. #10622596C22semidirect
112. #10622594C22semidirect
113. #10622593C22semidirect
114. #10622591C22semidirect
115. C4⋊C4×Dic11C22semidirect
116. C4⋊C4×Dic11C22semidirect
117. #10622586C22semidirect
118. #10622585C22semidirect
119. #10622585C22semidirect
131. #10622564C22semidirect
132. #10622564C22semidirect
133. #10622564C22semidirect
134. #10622563C22semidirect
135. #10622561C22semidirect
136. #10622561C22semidirect
137. #10622561C22semidirect
138. #10622561C22semidirect
139. #10622561C22semidirect
140. #10622561C22semidirect
141. #10622559C22semidirect
142. #10622558C22semidirect
143. #10622558C22semidirect
144. #10622558C22semidirect
145. #10622557C22semidirect
146. #10622557C22semidirect
147. #10622557C22semidirect
148. #10622553C22semidirect
149. #10622553C22semidirect
150. #10622553C22semidirect
152. C4×C4⋊Dic11C22semidirect
153. #10622546C22semidirect
154. C4×Dic11⋊C4C22semidirect
155. C4×Dic11⋊C4C22semidirect
156. #10622541C22semidirect
157. #10622289C22semidirect
158. #10622289C22semidirect
160. #10622283C22semidirect
161. #10622283C22semidirect
162. #10622283C22semidirect
163. #10622282C22semidirect
164. #10622282C22semidirect
165. #10622282C22semidirect
166. #10622281C22semidirect
167. #10622281C22semidirect
178. #10622274C22semidirect
179. #10622270C22semidirect
180. #10622270C22semidirect
181. #10622268C22semidirect
182. #10622267C22semidirect
183. #10622266C22semidirect
184. #10622265C22semidirect
185. #10622262C22semidirect
186. #10622262C22semidirect
187. #10622260C22semidirect
188. #10622260C22semidirect
358. C42×D11D4semidirect
526. C42×C11C2×D4semidirect
599. C4×Dic11C2×D4semidirect
600. C4×Dic11C2×D4semidirect
601. C4×Dic11C2×D4semidirect
619. #2601D11direct (N × H)
792. C2×#126C2×D11semidirect
801. C2×#117C2×D11semidirect
834. #398C2×D11semidirect
849. #396C2×D11semidirect
850. #396C2×D11semidirect
874. #389C2×D11semidirect
896. #388C2×D11semidirect
897. #388C2×D11semidirect
898. #388C2×D11semidirect
906. #387C2×D11semidirect
922. #385C2×D11semidirect
930. C4×C4⋊C4C2×D11semidirect
1222. D11#2601direct (N × H)
1432. C42D4×D11semidirect
1433. C11C2×#2601semidirect

Maximal subgroups

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

subgroupindex
C2×D11×#1262
C2×D11×#1172
#130742202
#130742192
#130742182
#130742172
#130742162
#130742152
#130742142
#130742132
#130742122
#130742112
#130742102
#130742092
#130742082
#130742072
#130742062
D11×#3982
D11×#3962
D11×#3942
D11×#3902
D11×#3892
D11×#3882
D11×#3872
D11×#3862
D11×#3852
C4×C4⋊C4×D112
C11×#26012
C2×#260111