Finite Group Databasebeta

← C11×#34856 #14612049

Subgroups — C11×#34856 #14612049

Order 2816.

2028 conjugacy classes of subgroups.

The subgroup lattice has 1478 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2597C211yesmaximal, characteristic, complemented
2C11×#2596C211yesmaximal, characteristic, complemented
3C11×#2595C211yesmaximal, characteristic, complemented
4C11×#2594C211yesmaximal, characteristic, complemented
5C11×#2593C211yesmaximal, characteristic, complemented
6C11×#2591C211yesmaximal, characteristic, complemented
7C11×#2585C211yesmaximal, characteristic, complemented
8C11×#2579C211yesmaximal, characteristic, complemented
9C11×#2573C211yesmaximal, characteristic, complemented
10C11×#2569C211yesmaximal, characteristic, complemented
11C11×#2554C211yesmaximal, characteristic, complemented
12C11×#2543C211yesmaximal, characteristic
13C11×#2510C211yesmaximal, characteristic, complemented
14C11×#2481C211yesmaximal, characteristic, complemented
15C11×#2444C211yesmaximal, characteristic, complemented
16C11×#2443C211yesmaximal, characteristic, complemented
17C11×#2402C211yesmaximal, characteristic, complemented
18C11×#2401C211yesmaximal, characteristic, complemented
19C11×#2395C211yesmaximal, characteristic, complemented
20C11×#2392C211yesmaximal, characteristic, complemented
21C4×C11×#126C211yesmaximal, characteristic, complemented
22C4×C11×#123C211yesmaximal, characteristic, complemented
23C4×C11×#121C211yesmaximal, characteristic, complemented
24C4×C11×#121C211yesmaximal, characteristic, complemented
25C4×C11×#121C211yesmaximal, characteristic, complemented
26C11×#2298C211yesmaximal, characteristic, complemented
27C11×#2290C211yesmaximal, characteristic, complemented
28C11×#2290C211yesmaximal, characteristic, complemented
29C11×#2290C211yesmaximal, characteristic, complemented
30C42×D4×C11C211yesmaximal, characteristic, complemented
31C2×C4×C11×C4⋊C4C211yesmaximal, characteristic, complemented
32C2×C11×#126C2211yescharacteristic
33C2×C11×#123C2211yescharacteristic
34C2×C11×#121C2211yescharacteristic
35C2×C11×#121C2211yescharacteristic
36C2×C11×#121C2211yescharacteristic
37C2×C4×D4×C11C2211yescharacteristic
38C2×C4×D4×C11C2211yescharacteristic
39C2×C4×D4×C11C2211yescharacteristic
40C2×C4×D4×C11C2211yescharacteristic
41C2×C4×D4×C11C2211yescharacteristic
42C2×C4×D4×C11C2211yescharacteristic
43C2×C4×D4×C11C2211yescharacteristic
44C2×C4×D4×C11C2211yescharacteristic
45C2×C11×#117C2211yescharacteristic
46C2×C11×#117C2211yescharacteristic
47C22×C11×C4⋊C4C2211yescharacteristic
48C22×C11×C4⋊C4C2211yescharacteristic
49C22×C42×C11C2211yescharacteristic
50C22×C42×C11C2211yescharacteristic
51C22×C42×C11C2211yescharacteristic
52C22×C42×C11C2211yescharacteristic
53C11×#401C2211yescharacteristic
54C11×#400C2211yescharacteristic
55C11×#400C2211yescharacteristic
56C11×#400C2211yescharacteristic
57C11×#400C2211yescharacteristic
58C11×#400C2211yescharacteristic
59C11×#400C2211yescharacteristic
60C11×#400C2211yescharacteristic
61C11×#400C2211yescharacteristic
62C11×#399C2211yescharacteristic
63C11×#398C2211yescharacteristic
64C11×#398C2211yescharacteristic
65C11×#398C2211yescharacteristic
66C11×#398C2211yescharacteristic
67C11×#398C2211yescharacteristic
68C11×#398C2211yescharacteristic
69C11×#397C2211yescharacteristic
70C11×#397C2211yescharacteristic
71C11×#397C2211yescharacteristic
72C11×#397C2211yescharacteristic
73C11×#397C2211yescharacteristic
74C11×#397C2211yescharacteristic
75C11×#397C2211yescharacteristic
76C11×#396C2211yescharacteristic
77C11×#396C2211yescharacteristic
78C11×#396C2211yescharacteristic
79C11×#394C2211yescharacteristic
80C11×#394C2211yescharacteristic
81C11×#394C2211yescharacteristic
82C11×#394C2211yescharacteristic
83C11×#394C2211yescharacteristic
84C11×#392C2211yescharacteristic
85C11×#390C2211yescharacteristic
86C11×#390C2211yescharacteristic
87C11×#390C2211yescharacteristic
88C11×#389C2211yescharacteristic
89C11×#389C2211yescharacteristic
90C11×#389C2211yescharacteristic
91C11×#388C2211yescharacteristic
92C11×#388C2211yescharacteristic
93C11×#388C2211yescharacteristic
94C11×#388C2211yescharacteristic
95C11×#388C2211yescharacteristic
96C11×#388C2211yescharacteristic
97C11×#388C2211yescharacteristic
98C11×#388C2211yescharacteristic
99C11×#388C2211yescharacteristic
100C11×#388C2211yescharacteristic
101C11×#388C2211yescharacteristic
102C11×#388C2211yescharacteristic
103C11×#388C2211yescharacteristic
104C11×#388C2211yescharacteristic
105C11×#388C2211yescharacteristic
106C11×#388C2211yescharacteristic
107C11×#388C2211yescharacteristic
108C11×#388C2211yescharacteristic
109C11×#388C2211yescharacteristic
110C11×#388C2211yescharacteristic
111C11×#388C2211yescharacteristic
112C11×#387C2211yescharacteristic
113C11×#387C2211yescharacteristic
114C11×#387C2211yescharacteristic
115C11×#387C2211yescharacteristic
116C11×#387C2211yescharacteristic
117C11×#387C2211yescharacteristic
118C11×#387C2211yescharacteristic
119C11×#387C2211yescharacteristic
120C11×#387C2211yescharacteristic
121C11×#387C2211yescharacteristic
122C11×#387C2211yescharacteristic
123C11×#387C2211yescharacteristic
124C11×#387C2211yescharacteristic
125C11×#387C2211yescharacteristic
126C11×#387C2211yescharacteristic
127C11×#386C2211yescharacteristic
128C11×#386C2211yescharacteristic
129C11×#386C2211yescharacteristic
130C11×#386C2211yescharacteristic
131C11×#386C2211yescharacteristic
132C11×#386C2211yescharacteristic
133C11×#386C2211yescharacteristic
134C11×#386C2211yescharacteristic
135C11×#386C2211yescharacteristic
136C11×#386C2211yescharacteristic
137C11×#386C2211yescharacteristic
138C11×#386C2211yescharacteristic
139C11×#386C2211yescharacteristic
140C11×#385C2211yescharacteristic
141C11×#385C2211yescharacteristic
142C11×#385C2211yescharacteristic
143C11×#385C2211yescharacteristic
144C11×#385C2211yescharacteristic
145C11×#385C2211yescharacteristic
146C11×#385C2211yescharacteristic
147C11×#383C2211yescharacteristic
148C11×#381C2211yescharacteristic
149C11×#380C2211yescharacteristic
150C11×#380C2211yescharacteristic
151C11×#380C2211yescharacteristic
152C4×C11×C4⋊C4C2211yescharacteristic
153C4×C11×C4⋊C4C2211yescharacteristic
154C4×C11×C4⋊C4C2211yescharacteristic
155C4×C11×C4⋊C4C2211yescharacteristic
156C4×C11×C4⋊C4C2211yescharacteristic
157C4×C11×C4⋊C4C2211yescharacteristic
158C4×C11×C4⋊C4C2211yescharacteristic
159C4×C11×C4⋊C4C2211yescharacteristic
160C4×C11×C4⋊C4C2211yescharacteristic
161C4×C11×C4⋊C4C2211yescharacteristic
162C4×C11×C4⋊C4C2211yescharacteristic
163C4×C11×C4⋊C4C2211yescharacteristic
164C4×C11×C4⋊C4C2211yescharacteristic
165C4×C11×C4⋊C4C2211yescharacteristic
166C4×C11×C4⋊C4C2211yescharacteristic
167C4×C11×C4⋊C4C2211yescharacteristic
168C4×C11×C22⋊C4C2211yescharacteristic
169C4×C11×C22⋊C4C2211yescharacteristic
170C4×C11×C22⋊C4C2211yescharacteristic
171C4×C11×C22⋊C4C2211yescharacteristic
172C4×C11×C22⋊C4C2211yescharacteristic
173C4×C11×C22⋊C4C2211yescharacteristic
174C4×C11×C22⋊C4C2211yescharacteristic
175C4×C11×C22⋊C4C2211yescharacteristic
176C4×C11×C22⋊C4C2211yescharacteristic
177C4×C11×C22⋊C4C2211yescharacteristic
178C4×C11×C22⋊C4C2211yescharacteristic
179C4×C11×C22⋊C4C2211yescharacteristic
180C4×C11×C22⋊C4C2211yescharacteristic
181C4×C11×C22⋊C4C2211yescharacteristic
182C11×#376C2211yescharacteristic
183C11×#376C2211yescharacteristic
184C2×C11×#95C2211yescharacteristic
185C2×C11×#95C2211yescharacteristic
186C43×C11C2211yescharacteristic
187C22×D4×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C23×C4×C11C2311yescharacteristic
204C23×C4×C11C2311yescharacteristic
205C11×#126—24no—
206C11×#123—24no—
207C11×#121—24no—
208C11×#121—24no—
209C11×#121—24no—
210C4×D4×C11—24no—
211C4×D4×C11—24no—
212C4×D4×C11—24no—
213C4×D4×C11—24no—
214C4×D4×C11—24no—
215C4×D4×C11—24no—
216C4×D4×C11—42no—
217C4×D4×C11—42no—
218C11×#117—24no—
219C11×#117—42no—
220C2×C11×C4⋊C4—24no—
221C2×C11×C4⋊C4—24no—
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×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C4⋊C4C2311yescharacteristic
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊C4C2311yescharacteristic
248C2×C11×C4⋊C4C2311yescharacteristic
249C2×C11×C4⋊C4C2311yescharacteristic
250C2×C11×C4⋊C4C2311yescharacteristic
251C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
259C2×C11×C22⋊C4C2311yescharacteristic
260C2×C11×C22⋊C4C2311yescharacteristic
261C2×C11×C22⋊C4C2311yescharacteristic
262C2×C11×C22⋊C4C2311yescharacteristic
263C2×C11×C22⋊C4C2311yescharacteristic
264C2×C11×C22⋊C4C2311yescharacteristic
265C2×C11×C22⋊C4C2311yescharacteristic
266C2×C11×C22⋊C4C2311yescharacteristic
267C2×C11×C22⋊C4C2311yescharacteristic
268C2×C11×C22⋊C4C2311yescharacteristic
269C2×C11×C22⋊C4C2311yescharacteristic
270C2×C11×C22⋊C4C2311yescharacteristic
271C2×C11×C22⋊C4C2311yescharacteristic
272C2×C11×C22⋊C4C2311yescharacteristic
273C2×C11×C22⋊C4C2311yescharacteristic
274C2×C11×C22⋊C4C2311yescharacteristic
275C2×C11×C22⋊C4C2311yescharacteristic
276C2×C11×C22⋊C4C2311yescharacteristic
277C2×C11×C22⋊C4C2311yescharacteristic
278C2×C11×C22⋊C4C2311yescharacteristic
279C2×C11×C22⋊C4C2311yescharacteristic
280C2×C11×C22⋊C4C2311yescharacteristic
281C2×C11×C22⋊C4C2311yescharacteristic
282C2×C11×C22⋊C4C2311yescharacteristic
283C2×C11×C22⋊C4C2311yescharacteristic
284C2×C11×C22⋊C4C2311yescharacteristic
285C2×C11×C22⋊C4C2311yescharacteristic
286C2×C11×C22⋊C4C2311yescharacteristic
287C2×C11×C22⋊C4C2311yescharacteristic
288C2×C42×C11—24no—
289C2×C42×C11—42no—
290C2×C42×C11—42no—
291C2×C42×C11—42no—
292C2×C42×C11C2311yescharacteristic
293C2×C42×C11C2311yescharacteristic
294C2×C42×C11C2311yescharacteristic
295C2×C42×C11C2311yescharacteristic
296C2×C42×C11C2311yescharacteristic
297C2×C42×C11C2311yescharacteristic
298C2×C42×C11C2311yescharacteristic
299C2×C42×C11C2311yescharacteristic
300C2×C42×C11C2311yescharacteristic
301C2×C42×C11C2311yescharacteristic
302C2×C42×C11C2311yescharacteristic
303C2×C42×C11C2311yescharacteristic
304C2×C42×C11C2311yescharacteristic
305C2×C42×C11C2311yescharacteristic
306C2×C42×C11C2311yescharacteristic
307C2×C42×C11C2311yescharacteristic
308C2×C42×C11C2311yescharacteristic
309C2×C42×C11C2311yescharacteristic
310C2×C42×C11C2311yescharacteristic
311C2×C42×C11C2311yescharacteristic
312C2×C42×C11C2311yescharacteristic
313C2×C42×C11C2311yescharacteristic
314C2×C42×C11C2311yescharacteristic
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11×#95C2311yescharacteristic
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11×#95C2311yescharacteristic
339C11×#95C2311yescharacteristic
340C11×#95C2311yescharacteristic
341C11×#95C2311yescharacteristic
342C11×#95C2311yescharacteristic
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11×#95C2311yescharacteristic
363#34856C1111yesmaximal, characteristic, direct product factor, Sylow
364C24×C11C2411yescharacteristic
365C24×C11C2411yescharacteristic
366C24×C11C2411yescharacteristic
367C24×C11C2411yescharacteristic
368C2×D4×C11—22no—
369C2×D4×C11—22no—
370C2×D4×C11—22no—
371C2×D4×C11—22no—
372C2×D4×C11—22no—
373C2×D4×C11—22no—
374C2×D4×C11—22no—
375C2×D4×C11—22no—
376C2×D4×C11—22no—
377C2×D4×C11—22no—
378C2×D4×C11—22no—
379C2×D4×C11—22no—
380C2×D4×C11—22no—
381C2×D4×C11—41no—
382C2×D4×C11—41no—
383C2×D4×C11—41no—
384C2×D4×C11—41no—
385C2×D4×C11#4114yes—
386C22×C4×C11—22no—
387C22×C4×C11—22no—
388C22×C4×C11—22no—
389C22×C4×C11—22no—
390C22×C4×C11—22no—
391C22×C4×C11—22no—
392C22×C4×C11—22no—
393C22×C4×C11—22no—
394C22×C4×C11—22no—
395C22×C4×C11—22no—
396C22×C4×C11—22no—
397C22×C4×C11—22no—
398C22×C4×C11—22no—
399C22×C4×C11—22no—
400C22×C4×C11—22no—
401C22×C4×C11—22no—
402C22×C4×C11—22no—
403C22×C4×C11—22no—
404C22×C4×C11—22no—
405C22×C4×C11—22no—
406C22×C4×C11—22no—
407C22×C4×C11—22no—
408C22×C4×C11—22no—
409C22×C4×C11—22no—
410C22×C4×C11—41no—
411C22×C4×C11—41no—
412C22×C4×C11—41no—
413C22×C4×C11—41no—
414C22×C4×C11—41no—
415C22×C4×C11—41no—
416C22×C4×C11—41no—
417C22×C4×C11—41no—
418C22×C4×C11—41no—
419C22×C4×C11—41no—
420C22×C4×C11#4114yes—
421C22×C4×C11#4114yes—
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
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
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
447C22×C4×C11C2411yescharacteristic
448C22×C4×C11C2411yescharacteristic
449C11×C4⋊C4—22no—
450C11×C4⋊C4—22no—
451C11×C4⋊C4—22no—
452C11×C4⋊C4—22no—
453C11×C4⋊C4—22no—
454C11×C4⋊C4—22no—
455C11×C4⋊C4—22no—
456C11×C4⋊C4—22no—
457C11×C4⋊C4—22no—
458C11×C4⋊C4—22no—
459C11×C4⋊C4—22no—
460C11×C4⋊C4—22no—
461C11×C4⋊C4—22no—
462C11×C4⋊C4—22no—
463C11×C4⋊C4—22no—
464C11×C4⋊C4—22no—
465C11×C4⋊C4—22no—
466C11×C4⋊C4—22no—
467C11×C4⋊C4—22no—
468C11×C4⋊C4—22no—
469C11×C4⋊C4—22no—
470C11×C4⋊C4—41no—
471C11×C4⋊C4—41no—
472C11×C4⋊C4—41no—
473C11×C4⋊C4—41no—
474C11×C4⋊C4—41no—
475C11×C4⋊C4—41no—
476C11×C4⋊C4—41no—
477C11×C4⋊C4—41no—
478C11×C4⋊C4#4114yes—
479C11×C22⋊C4—22no—
480C11×C22⋊C4—22no—
481C11×C22⋊C4—22no—
482C11×C22⋊C4—22no—
483C11×C22⋊C4—22no—
484C11×C22⋊C4—22no—
485C11×C22⋊C4—22no—
486C11×C22⋊C4—22no—
487C11×C22⋊C4—22no—
488C11×C22⋊C4—22no—
489C11×C22⋊C4—22no—
490C11×C22⋊C4—22no—
491C11×C22⋊C4—22no—
492C11×C22⋊C4—22no—
493C11×C22⋊C4—22no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—22no—
499C11×C22⋊C4—22no—
500C11×C22⋊C4—22no—
501C11×C22⋊C4—22no—
502C11×C22⋊C4—22no—
503C11×C22⋊C4—22no—
504C11×C22⋊C4—22no—
505C11×C22⋊C4—41no—
506C11×C22⋊C4—41no—
507C11×C22⋊C4—41no—
508C11×C22⋊C4—41no—
509C11×C22⋊C4—41no—
510C11×C22⋊C4—41no—
511C11×C22⋊C4—41no—
512C11×C22⋊C4—41no—
513C11×C22⋊C4—41no—
514C11×C22⋊C4—41no—
515C42×C11—22no—
516C42×C11—22no—
517C42×C11—22no—
518C42×C11—22no—
519C42×C11—22no—
520C42×C11—22no—
521C42×C11—22no—
522C42×C11—22no—
523C42×C11—22no—
524C42×C11—22no—
525C42×C11—22no—
526C42×C11—22no—
527C42×C11—22no—
528C42×C11—22no—
529C42×C11—22no—
530C42×C11—41no—
531C42×C11—41no—
532C42×C11—41no—
533C42×C11—41no—
534C42×C11—41no—
535C42×C11—41no—
536C42×C11—41no—
537C42×C11#4114yes—
538#2597C2×C1111yescharacteristic, complemented
539#2596C2×C1111yescharacteristic, complemented
540#2595C2×C1111yescharacteristic, complemented
541#2594C2×C1111yescharacteristic, complemented
542#2593C2×C1111yescharacteristic, complemented
543#2591C2×C1111yescharacteristic, complemented
544#2585C2×C1111yescharacteristic, complemented
545#2579C2×C1111yescharacteristic, complemented
546#2573C2×C1111yescharacteristic, complemented
547#2569C2×C1111yescharacteristic, complemented
548#2554C2×C1111yescharacteristic, complemented
549#2543C2×C1111yescharacteristic
550#2510C2×C1111yescharacteristic, complemented
551#2481C2×C1111yescharacteristic, complemented
552#2444C2×C1111yescharacteristic, complemented
553#2443C2×C1111yescharacteristic, complemented
554#2402C2×C1111yescharacteristic, complemented
555#2401C2×C1111yescharacteristic, complemented
556#2395C2×C1111yescharacteristic, complemented
557#2392C2×C1111yescharacteristic, complemented
558C4×#126C2×C1111yescharacteristic, complemented
559C4×#123C2×C1111yescharacteristic, complemented
560C4×#121C2×C1111yescharacteristic, complemented
561C4×#121C2×C1111yescharacteristic, complemented
562C4×#121C2×C1111yescharacteristic, complemented
563#2298C2×C1111yescharacteristic, complemented
564#2290C2×C1111yescharacteristic, complemented
565#2290C2×C1111yescharacteristic, complemented
566#2290C2×C1111yescharacteristic, complemented
567C42×D4C2×C1111yescharacteristic, complemented
568C2×C4×C4⋊C4C2×C1111yescharacteristic, complemented
569C23×C11—21no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11—21no—
578C23×C11—21no—
579C23×C11—21no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11—21no—
588C23×C11—21no—
589C23×C11—21no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11C2×#4112yes—
594C23×C11C2×#4112yes—
595C23×C11C2×#4112yes—
596C23×C11C2×#4112yes—
597C23×C11C2511yescharacteristic
598D4×C11—28no—
599D4×C11—44no—
600D4×C11—44no—
601D4×C11—44no—
602D4×C11—44no—
603D4×C11—44no—
604C2×C4×C11—28no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—28no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—44no—
676C2×C4×C11—44no—
677C2×C4×C11—44no—
678C2×C4×C11—44no—
679C2×C4×C11—44no—
680C2×C4×C11—44no—
681C2×C4×C11—44no—
682C2×C4×C11—44no—
683C2×C4×C11—44no—
684C2×C4×C11—44no—
685C2×C4×C11C2×#4112yes—
686C2×C4×C11C2×#4112yes—
687C2×C4×C11C2×#4112yes—
688C2×C4×C11C2×#4112yes—
689C2×C4×C11C2×#4112yes—
690C2×C4×C11C2×#4112yes—
691C2×C4×C11C2×#4112yes—
692C2×C4×C11C2×#4112yes—
693C2×C4×C11C2×#4112yes—
694C2×C4×C11C2×#4112yes—
695C2×C4×C11C2×#4112yes—
696C2×C4×C11H(5,𝔽2)12yes—
697C2×#126C22×C1111yescharacteristic
698C2×#123C22×C1111yescharacteristic
699C2×#121C22×C1111yescharacteristic
700C2×#121C22×C1111yescharacteristic
701C2×#121C22×C1111yescharacteristic
702C2×C4×D4C22×C1111yescharacteristic
703C2×C4×D4C22×C1111yescharacteristic
704C2×C4×D4C22×C1111yescharacteristic
705C2×C4×D4C22×C1111yescharacteristic
706C2×C4×D4C22×C1111yescharacteristic
707C2×C4×D4C22×C1111yescharacteristic
708C2×C4×D4C22×C1111yescharacteristic
709C2×C4×D4C22×C1111yescharacteristic
710C2×#117C22×C1111yescharacteristic
711C2×#117C22×C1111yescharacteristic
712C22×C4⋊C4C22×C1111yescharacteristic
713C22×C4⋊C4C22×C1111yescharacteristic
714C22×C42C22×C1111yescharacteristic
715C22×C42C22×C1111yescharacteristic
716C22×C42C22×C1111yescharacteristic
717C22×C42C22×C1111yescharacteristic
718#401C22×C1111yescharacteristic
719#400C22×C1111yescharacteristic
720#400C22×C1111yescharacteristic
721#400C22×C1111yescharacteristic
722#400C22×C1111yescharacteristic
723#400C22×C1111yescharacteristic
724#400C22×C1111yescharacteristic
725#400C22×C1111yescharacteristic
726#400C22×C1111yescharacteristic
727#399C22×C1111yescharacteristic
728#398C22×C1111yescharacteristic
729#398C22×C1111yescharacteristic
730#398C22×C1111yescharacteristic
731#398C22×C1111yescharacteristic
732#398C22×C1111yescharacteristic
733#398C22×C1111yescharacteristic
734#397C22×C1111yescharacteristic
735#397C22×C1111yescharacteristic
736#397C22×C1111yescharacteristic
737#397C22×C1111yescharacteristic
738#397C22×C1111yescharacteristic
739#397C22×C1111yescharacteristic
740#397C22×C1111yescharacteristic
741#396C22×C1111yescharacteristic
742#396C22×C1111yescharacteristic
743#396C22×C1111yescharacteristic
744#394C22×C1111yescharacteristic
745#394C22×C1111yescharacteristic
746#394C22×C1111yescharacteristic
747#394C22×C1111yescharacteristic
748#394C22×C1111yescharacteristic
749#392C22×C1111yescharacteristic
750#390C22×C1111yescharacteristic
751#390C22×C1111yescharacteristic
752#390C22×C1111yescharacteristic
753#389C22×C1111yescharacteristic
754#389C22×C1111yescharacteristic
755#389C22×C1111yescharacteristic
756#388C22×C1111yescharacteristic
757#388C22×C1111yescharacteristic
758#388C22×C1111yescharacteristic
759#388C22×C1111yescharacteristic
760#388C22×C1111yescharacteristic
761#388C22×C1111yescharacteristic
762#388C22×C1111yescharacteristic
763#388C22×C1111yescharacteristic
764#388C22×C1111yescharacteristic
765#388C22×C1111yescharacteristic
766#388C22×C1111yescharacteristic
767#388C22×C1111yescharacteristic
768#388C22×C1111yescharacteristic
769#388C22×C1111yescharacteristic
770#388C22×C1111yescharacteristic
771#388C22×C1111yescharacteristic
772#388C22×C1111yescharacteristic
773#388C22×C1111yescharacteristic
774#388C22×C1111yescharacteristic
775#388C22×C1111yescharacteristic
776#388C22×C1111yescharacteristic
777#387C22×C1111yescharacteristic
778#387C22×C1111yescharacteristic
779#387C22×C1111yescharacteristic
780#387C22×C1111yescharacteristic
781#387C22×C1111yescharacteristic
782#387C22×C1111yescharacteristic
783#387C22×C1111yescharacteristic
784#387C22×C1111yescharacteristic
785#387C22×C1111yescharacteristic
786#387C22×C1111yescharacteristic
787#387C22×C1111yescharacteristic
788#387C22×C1111yescharacteristic
789#387C22×C1111yescharacteristic
790#387C22×C1111yescharacteristic
791#387C22×C1111yescharacteristic
792#386C22×C1111yescharacteristic
793#386C22×C1111yescharacteristic
794#386C22×C1111yescharacteristic
795#386C22×C1111yescharacteristic
796#386C22×C1111yescharacteristic
797#386C22×C1111yescharacteristic
798#386C22×C1111yescharacteristic
799#386C22×C1111yescharacteristic
800#386C22×C1111yescharacteristic
801#386C22×C1111yescharacteristic
802#386C22×C1111yescharacteristic
803#386C22×C1111yescharacteristic
804#386C22×C1111yescharacteristic
805#385C22×C1111yescharacteristic
806#385C22×C1111yescharacteristic
807#385C22×C1111yescharacteristic
808#385C22×C1111yescharacteristic
809#385C22×C1111yescharacteristic
810#385C22×C1111yescharacteristic
811#385C22×C1111yescharacteristic
812#383C22×C1111yescharacteristic
813#381C22×C1111yescharacteristic
814#380C22×C1111yescharacteristic
815#380C22×C1111yescharacteristic
816#380C22×C1111yescharacteristic
817C4×C4⋊C4C22×C1111yescharacteristic
818C4×C4⋊C4C22×C1111yescharacteristic
819C4×C4⋊C4C22×C1111yescharacteristic
820C4×C4⋊C4C22×C1111yescharacteristic
821C4×C4⋊C4C22×C1111yescharacteristic
822C4×C4⋊C4C22×C1111yescharacteristic
823C4×C4⋊C4C22×C1111yescharacteristic
824C4×C4⋊C4C22×C1111yescharacteristic
825C4×C4⋊C4C22×C1111yescharacteristic
826C4×C4⋊C4C22×C1111yescharacteristic
827C4×C4⋊C4C22×C1111yescharacteristic
828C4×C4⋊C4C22×C1111yescharacteristic
829C4×C4⋊C4C22×C1111yescharacteristic
830C4×C4⋊C4C22×C1111yescharacteristic
831C4×C4⋊C4C22×C1111yescharacteristic
832C4×C4⋊C4C22×C1111yescharacteristic
833C4×C22⋊C4C22×C1111yescharacteristic
834C4×C22⋊C4C22×C1111yescharacteristic
835C4×C22⋊C4C22×C1111yescharacteristic
836C4×C22⋊C4C22×C1111yescharacteristic
837C4×C22⋊C4C22×C1111yescharacteristic
838C4×C22⋊C4C22×C1111yescharacteristic
839C4×C22⋊C4C22×C1111yescharacteristic
840C4×C22⋊C4C22×C1111yescharacteristic
841C4×C22⋊C4C22×C1111yescharacteristic
842C4×C22⋊C4C22×C1111yescharacteristic
843C4×C22⋊C4C22×C1111yescharacteristic
844C4×C22⋊C4C22×C1111yescharacteristic
845C4×C22⋊C4C22×C1111yescharacteristic
846C4×C22⋊C4C22×C1111yescharacteristic
847#376C22×C1111yescharacteristic
848#376C22×C1111yescharacteristic
849C2×#95C22×C1111yescharacteristic
850C2×#95C22×C1111yescharacteristic
851C43C22×C1111yescharacteristic
852C22×C11—22no—
853C22×C11—22no—
854C22×C11—22no—
855C22×C11—22no—
856C22×C11—22no—
857C22×C11—22no—
858C22×C11—22no—
859C22×C11—22no—
860C22×C11—22no—
861C22×C11—41no—
862C22×C11—41no—
863C22×C11—41no—
864C22×C11—41no—
865C22×C11—41no—
866C22×C11—41no—
867C22×C11—41no—
868C22×C11—41no—
869C22×C11—41no—
870C22×C11—41no—
871C22×C11—41no—
872C22×C11—41no—
873C22×C11—41no—
874C22×C11—41no—
875C22×C11—41no—
876C22×C11—41no—
877C22×C11—41no—
878C22×C11—41no—
879C22×C11#52914yes—
880C22×C11C22×#4111yescharacteristic
881C22×C11C22×#4111yescharacteristic
882C22×C11C22×#4111yescharacteristic
883C22×C11C22×#4111yescharacteristic
884C22×C11C22×#4111yescharacteristic
885C22×C11C2×H(5,𝔽2)11yescharacteristic
886C22×C11#58511yescharacteristic
887C4×C11—22no—
888C4×C11—22no—
889C4×C11—22no—
890C4×C11—22no—
891C4×C11—22no—
892C4×C11—22no—
893C4×C11—22no—
894C4×C11—22no—
895C4×C11—22no—
896C4×C11—41no—
897C4×C11—41no—
898C4×C11—41no—
899C4×C11—41no—
900C4×C11—41no—
901C4×C11—41no—
902C4×C11—41no—
903C4×C11—41no—
904C4×C11—41no—
905C4×C11—41no—
906C4×C11—41no—
907C4×C11—41no—
908C4×C11—41no—
909C4×C11—41no—
910C4×C11—41no—
911C4×C11—41no—
912C4×C11—41no—
913C4×C11#55314yes—
914C22×D4C23×C1111yescharacteristic
915C22×D4C23×C1111yescharacteristic
916C22×D4C23×C1111yescharacteristic
917C22×D4C23×C1111yescharacteristic
918C22×D4C23×C1111yescharacteristic
919C22×D4C23×C1111yescharacteristic
920C23×C4C23×C1111yescharacteristic
921C23×C4C23×C1111yescharacteristic
922C23×C4C23×C1111yescharacteristic
923C23×C4C23×C1111yescharacteristic
924C23×C4C23×C1111yescharacteristic
925C23×C4C23×C1111yescharacteristic
926C23×C4C23×C1111yescharacteristic
927C23×C4C23×C1111yescharacteristic
928C23×C4C23×C1111yescharacteristic
929C23×C4C23×C1111yescharacteristic
930C23×C4C23×C1111yescharacteristic
931C23×C4C23×C1111yescharacteristic
932#126—24no—
933#123—24no—
934#121—24no—
935#121—24no—
936#121—24no—
937C4×D4—24no—
938C4×D4—24no—
939C4×D4—24no—
940C4×D4—24no—
941C4×D4—24no—
942C4×D4—24no—
943C4×D4—42no—
944C4×D4—42no—
945#117—24no—
946#117—42no—
947C2×C4⋊C4—24no—
948C2×C4⋊C4—24no—
949C2×C4⋊C4C23×C1111yescharacteristic
950C2×C4⋊C4C23×C1111yescharacteristic
951C2×C4⋊C4C23×C1111yescharacteristic
952C2×C4⋊C4C23×C1111yescharacteristic
953C2×C4⋊C4C23×C1111yescharacteristic
954C2×C4⋊C4C23×C1111yescharacteristic
955C2×C4⋊C4C23×C1111yescharacteristic
956C2×C4⋊C4C23×C1111yescharacteristic
957C2×C4⋊C4C23×C1111yescharacteristic
958C2×C4⋊C4C23×C1111yescharacteristic
959C2×C4⋊C4C23×C1111yescharacteristic
960C2×C4⋊C4C23×C1111yescharacteristic
961C2×C4⋊C4C23×C1111yescharacteristic
962C2×C4⋊C4C23×C1111yescharacteristic
963C2×C4⋊C4C23×C1111yescharacteristic
964C2×C4⋊C4C23×C1111yescharacteristic
965C2×C4⋊C4C23×C1111yescharacteristic
966C2×C4⋊C4C23×C1111yescharacteristic
967C2×C4⋊C4C23×C1111yescharacteristic
968C2×C4⋊C4C23×C1111yescharacteristic
969C2×C4⋊C4C23×C1111yescharacteristic
970C2×C4⋊C4C23×C1111yescharacteristic
971C2×C4⋊C4C23×C1111yescharacteristic
972C2×C4⋊C4C23×C1111yescharacteristic
973C2×C4⋊C4C23×C1111yescharacteristic
974C2×C4⋊C4C23×C1111yescharacteristic
975C2×C4⋊C4C23×C1111yescharacteristic
976C2×C4⋊C4C23×C1111yescharacteristic
977C2×C4⋊C4C23×C1111yescharacteristic
978C2×C4⋊C4C23×C1111yescharacteristic
979C2×C22⋊C4C23×C1111yescharacteristic
980C2×C22⋊C4C23×C1111yescharacteristic
981C2×C22⋊C4C23×C1111yescharacteristic
982C2×C22⋊C4C23×C1111yescharacteristic
983C2×C22⋊C4C23×C1111yescharacteristic
984C2×C22⋊C4C23×C1111yescharacteristic
985C2×C22⋊C4C23×C1111yescharacteristic
986C2×C22⋊C4C23×C1111yescharacteristic
987C2×C22⋊C4C23×C1111yescharacteristic
988C2×C22⋊C4C23×C1111yescharacteristic
989C2×C22⋊C4C23×C1111yescharacteristic
990C2×C22⋊C4C23×C1111yescharacteristic
991C2×C22⋊C4C23×C1111yescharacteristic
992C2×C22⋊C4C23×C1111yescharacteristic
993C2×C22⋊C4C23×C1111yescharacteristic
994C2×C22⋊C4C23×C1111yescharacteristic
995C2×C22⋊C4C23×C1111yescharacteristic
996C2×C22⋊C4C23×C1111yescharacteristic
997C2×C22⋊C4C23×C1111yescharacteristic
998C2×C22⋊C4C23×C1111yescharacteristic
999C2×C22⋊C4C23×C1111yescharacteristic
1000C2×C22⋊C4C23×C1111yescharacteristic
1001C2×C22⋊C4C23×C1111yescharacteristic
1002C2×C22⋊C4C23×C1111yescharacteristic
1003C2×C22⋊C4C23×C1111yescharacteristic
1004C2×C22⋊C4C23×C1111yescharacteristic
1005C2×C22⋊C4C23×C1111yescharacteristic
1006C2×C22⋊C4C23×C1111yescharacteristic
1007C2×C22⋊C4C23×C1111yescharacteristic
1008C2×C22⋊C4C23×C1111yescharacteristic
1009C2×C22⋊C4C23×C1111yescharacteristic
1010C2×C22⋊C4C23×C1111yescharacteristic
1011C2×C22⋊C4C23×C1111yescharacteristic
1012C2×C22⋊C4C23×C1111yescharacteristic
1013C2×C22⋊C4C23×C1111yescharacteristic
1014C2×C22⋊C4C23×C1111yescharacteristic
1015C2×C42—24no—
1016C2×C42—42no—
1017C2×C42—42no—
1018C2×C42—42no—
1019C2×C42C23×C1111yescharacteristic
1020C2×C42C23×C1111yescharacteristic
1021C2×C42C23×C1111yescharacteristic
1022C2×C42C23×C1111yescharacteristic
1023C2×C42C23×C1111yescharacteristic
1024C2×C42C23×C1111yescharacteristic
1025C2×C42C23×C1111yescharacteristic
1026C2×C42C23×C1111yescharacteristic
1027C2×C42C23×C1111yescharacteristic
1028C2×C42C23×C1111yescharacteristic
1029C2×C42C23×C1111yescharacteristic
1030C2×C42C23×C1111yescharacteristic
1031C2×C42C23×C1111yescharacteristic
1032C2×C42C23×C1111yescharacteristic
1033C2×C42C23×C1111yescharacteristic
1034C2×C42C23×C1111yescharacteristic
1035C2×C42C23×C1111yescharacteristic
1036C2×C42C23×C1111yescharacteristic
1037C2×C42C23×C1111yescharacteristic
1038C2×C42C23×C1111yescharacteristic
1039C2×C42C23×C1111yescharacteristic
1040C2×C42C23×C1111yescharacteristic
1041C2×C42C23×C1111yescharacteristic
1042#95C23×C1111yescharacteristic
1043#95C23×C1111yescharacteristic
1044#95C23×C1111yescharacteristic
1045#95C23×C1111yescharacteristic
1046#95C23×C1111yescharacteristic
1047#95C23×C1111yescharacteristic
1048#95C23×C1111yescharacteristic
1049#95C23×C1111yescharacteristic
1050#95C23×C1111yescharacteristic
1051#95C23×C1111yescharacteristic
1052#95C23×C1111yescharacteristic
1053#95C23×C1111yescharacteristic
1054#95C23×C1111yescharacteristic
1055#95C23×C1111yescharacteristic
1056#95C23×C1111yescharacteristic
1057#95C23×C1111yescharacteristic
1058#95C23×C1111yescharacteristic
1059#95C23×C1111yescharacteristic
1060#95C23×C1111yescharacteristic
1061#95C23×C1111yescharacteristic
1062#95C23×C1111yescharacteristic
1063#95C23×C1111yescharacteristic
1064#95C23×C1111yescharacteristic
1065#95C23×C1111yescharacteristic
1066#95C23×C1111yescharacteristic
1067#95C23×C1111yescharacteristic
1068#95C23×C1111yescharacteristic
1069#95C23×C1111yescharacteristic
1070#95C23×C1111yescharacteristic
1071#95C23×C1111yescharacteristic
1072#95C23×C1111yescharacteristic
1073#95C23×C1111yescharacteristic
1074#95C23×C1111yescharacteristic
1075#95C23×C1111yescharacteristic
1076#95C23×C1111yescharacteristic
1077#95C23×C1111yescharacteristic
1078#95C23×C1111yescharacteristic
1079#95C23×C1111yescharacteristic
1080#95C23×C1111yescharacteristic
1081#95C23×C1111yescharacteristic
1082#95C23×C1111yescharacteristic
1083#95C23×C1111yescharacteristic
1084#95C23×C1111yescharacteristic
1085#95C23×C1111yescharacteristic
1086#95C23×C1111yescharacteristic
1087#95C23×C1111yescharacteristic
1088#95C23×C1111yescharacteristic
1089#95C23×C1111yescharacteristic
1090C2×C11—24no—
1091C2×C11—42no—
1092C2×C11—81no—
1093C2×C11—81no—
1094C2×C11C2×#52911yescharacteristic
1095C2×C11#344411yescharacteristic
1096C2×C11#345911yescharacteristic
1097C2×C11C2×#55311yescharacteristic
1098C2×C11#347511yescharacteristic
1099C2×C11#348011yescharacteristic
1100C2×C11#348111yescharacteristic
1101C24C24×C1111yescharacteristic
1102C24C24×C1111yescharacteristic
1103C24C24×C1111yescharacteristic
1104C24C24×C1111yescharacteristic
1105C2×D4—22no—
1106C2×D4—22no—
1107C2×D4—22no—
1108C2×D4—22no—
1109C2×D4—22no—
1110C2×D4—22no—
1111C2×D4—22no—
1112C2×D4—22no—
1113C2×D4—22no—
1114C2×D4—22no—
1115C2×D4—22no—
1116C2×D4—22no—
1117C2×D4—22no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4C11×#4114yes—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—22no—
1126C22×C4—22no—
1127C22×C4—22no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4C11×#4114yes—
1158C22×C4C11×#4114yes—
1159C22×C4C24×C1111yescharacteristic
1160C22×C4C24×C1111yescharacteristic
1161C22×C4C24×C1111yescharacteristic
1162C22×C4C24×C1111yescharacteristic
1163C22×C4C24×C1111yescharacteristic
1164C22×C4C24×C1111yescharacteristic
1165C22×C4C24×C1111yescharacteristic
1166C22×C4C24×C1111yescharacteristic
1167C22×C4C24×C1111yescharacteristic
1168C22×C4C24×C1111yescharacteristic
1169C22×C4C24×C1111yescharacteristic
1170C22×C4C24×C1111yescharacteristic
1171C22×C4C24×C1111yescharacteristic
1172C22×C4C24×C1111yescharacteristic
1173C22×C4C24×C1111yescharacteristic
1174C22×C4C24×C1111yescharacteristic
1175C22×C4C24×C1111yescharacteristic
1176C22×C4C24×C1111yescharacteristic
1177C22×C4C24×C1111yescharacteristic
1178C22×C4C24×C1111yescharacteristic
1179C22×C4C24×C1111yescharacteristic
1180C22×C4C24×C1111yescharacteristic
1181C22×C4C24×C1111yescharacteristic
1182C22×C4C24×C1111yescharacteristic
1183C22×C4C24×C1111yescharacteristic
1184C22×C4C24×C1111yescharacteristic
1185C22×C4C24×C1111yescharacteristic
1186C4⋊C4—22no—
1187C4⋊C4—22no—
1188C4⋊C4—22no—
1189C4⋊C4—22no—
1190C4⋊C4—22no—
1191C4⋊C4—22no—
1192C4⋊C4—22no—
1193C4⋊C4—22no—
1194C4⋊C4—22no—
1195C4⋊C4—22no—
1196C4⋊C4—22no—
1197C4⋊C4—22no—
1198C4⋊C4—22no—
1199C4⋊C4—22no—
1200C4⋊C4—22no—
1201C4⋊C4—22no—
1202C4⋊C4—22no—
1203C4⋊C4—22no—
1204C4⋊C4—22no—
1205C4⋊C4—22no—
1206C4⋊C4—22no—
1207C4⋊C4—41no—
1208C4⋊C4—41no—
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4C11×#4114yes—
1216C22⋊C4—22no—
1217C22⋊C4—22no—
1218C22⋊C4—22no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—22no—
1228C22⋊C4—22no—
1229C22⋊C4—22no—
1230C22⋊C4—22no—
1231C22⋊C4—22no—
1232C22⋊C4—22no—
1233C22⋊C4—22no—
1234C22⋊C4—22no—
1235C22⋊C4—22no—
1236C22⋊C4—22no—
1237C22⋊C4—22no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—41no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4—41no—
1246C22⋊C4—41no—
1247C22⋊C4—41no—
1248C22⋊C4—41no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C42—22no—
1253C42—22no—
1254C42—22no—
1255C42—22no—
1256C42—22no—
1257C42—22no—
1258C42—22no—
1259C42—22no—
1260C42—22no—
1261C42—22no—
1262C42—22no—
1263C42—22no—
1264C42—22no—
1265C42—22no—
1266C42—22no—
1267C42—41no—
1268C42—41no—
1269C42—41no—
1270C42—41no—
1271C42—41no—
1272C42—41no—
1273C42—41no—
1274C42C11×#4114yes—
1275C11#3485611yescharacteristic, direct product factor, Sylow
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23C2×C11×#4112yes—
1301C23C2×C11×#4112yes—
1302C23C2×C11×#4112yes—
1303C23C2×C11×#4112yes—
1304C23C25×C1111yescharacteristic
1305D4—28no—
1306D4—44no—
1307D4—44no—
1308D4—44no—
1309D4—44no—
1310D4—44no—
1311C2×C4—28no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—28no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—44no—
1383C2×C4—44no—
1384C2×C4—44no—
1385C2×C4—44no—
1386C2×C4—44no—
1387C2×C4—44no—
1388C2×C4—44no—
1389C2×C4—44no—
1390C2×C4—44no—
1391C2×C4—44no—
1392C2×C4C2×C11×#4112yes—
1393C2×C4C2×C11×#4112yes—
1394C2×C4C2×C11×#4112yes—
1395C2×C4C2×C11×#4112yes—
1396C2×C4C2×C11×#4112yes—
1397C2×C4C2×C11×#4112yes—
1398C2×C4C2×C11×#4112yes—
1399C2×C4C2×C11×#4112yes—
1400C2×C4C2×C11×#4112yes—
1401C2×C4C2×C11×#4112yes—
1402C2×C4C2×C11×#4112yes—
1403C2×C4C11×H(5,𝔽2)12yes—
1404C22—22no—
1405C22—22no—
1406C22—22no—
1407C22—22no—
1408C22—22no—
1409C22—22no—
1410C22—22no—
1411C22—22no—
1412C22—22no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22C11×#52914yes—
1432C22C22×C11×#4111yescharacteristic
1433C22C22×C11×#4111yescharacteristic
1434C22C22×C11×#4111yescharacteristic
1435C22C22×C11×#4111yescharacteristic
1436C22C22×C11×#4111yescharacteristic
1437C22C2×C11×H(5,𝔽2)11yescharacteristic
1438C22C11×#58511yescharacteristic
1439C4—22no—
1440C4—22no—
1441C4—22no—
1442C4—22no—
1443C4—22no—
1444C4—22no—
1445C4—22no—
1446C4—22no—
1447C4—22no—
1448C4—41no—
1449C4—41no—
1450C4—41no—
1451C4—41no—
1452C4—41no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4C11×#55314yes—
1466C2—24no—
1467C2—42no—
1468C2—81no—
1469C2—81no—
1470C2C2×C11×#52911yescharacteristic
1471C2C11×#344411yescharacteristic
1472C2C11×#345911yescharacteristic
1473C2C2×C11×#55311yescharacteristic
1474C2C11×#347511yescharacteristic
1475C2C11×#348011yescharacteristic
1476C2C11×#348111yescharacteristic
subgroupG/H
centerC22×C4×C11C24
commutator, Frattini, cosocleC23C25×C11
socleC23×C11C25
prime radicalC11×#2543C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#2597C2semidirect
2. C11×#2596C2semidirect
3. C11×#2595C2semidirect
4. C11×#2594C2semidirect
5. C11×#2593C2semidirect
6. C11×#2591C2semidirect
7. C11×#2585C2semidirect
8. C11×#2579C2semidirect
9. C11×#2573C2semidirect
10. C11×#2569C2semidirect
11. C11×#2554C2semidirect
13. C11×#2510C2semidirect
14. C11×#2481C2semidirect
15. C11×#2444C2semidirect
16. C11×#2443C2semidirect
17. C11×#2402C2semidirect
18. C11×#2401C2semidirect
19. C11×#2395C2semidirect
20. C11×#2392C2semidirect
21. C4×C11×#126C2semidirect
22. C4×C11×#123C2semidirect
23. C4×C11×#121C2semidirect
24. C4×C11×#121C2semidirect
25. C4×C11×#121C2semidirect
26. C11×#2298C2semidirect
27. C11×#2290C2semidirect
28. C11×#2290C2semidirect
29. C11×#2290C2semidirect
30. C42×D4×C11C2semidirect
31. C2×C4×C11×C4⋊C4C2semidirect
363. #34856C11direct (N × H)
538. #2597C2×C11semidirect
539. #2596C2×C11semidirect
540. #2595C2×C11semidirect
541. #2594C2×C11semidirect
542. #2593C2×C11semidirect
543. #2591C2×C11semidirect
544. #2585C2×C11semidirect
545. #2579C2×C11semidirect
546. #2573C2×C11semidirect
547. #2569C2×C11semidirect
548. #2554C2×C11semidirect
550. #2510C2×C11semidirect
551. #2481C2×C11semidirect
552. #2444C2×C11semidirect
553. #2443C2×C11semidirect
554. #2402C2×C11semidirect
555. #2401C2×C11semidirect
556. #2395C2×C11semidirect
557. #2392C2×C11semidirect
558. C4×#126C2×C11semidirect
559. C4×#123C2×C11semidirect
560. C4×#121C2×C11semidirect
561. C4×#121C2×C11semidirect
562. C4×#121C2×C11semidirect
563. #2298C2×C11semidirect
564. #2290C2×C11semidirect
565. #2290C2×C11semidirect
566. #2290C2×C11semidirect
567. C42×D4C2×C11semidirect
568. C2×C4×C4⋊C4C2×C11semidirect
1275. C11#34856direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#25972
C11×#25962
C11×#25952
C11×#25942
C11×#25932
C11×#25912
C11×#25852
C11×#25792
C11×#25732
C11×#25692
C11×#25542
C11×#25432
C11×#25102
C11×#24812
C11×#24442
C11×#24432
C11×#24022
C11×#24012
C11×#23952
C11×#23922
C4×C11×#1262
C4×C11×#1232
C4×C11×#1212
C11×#22982
C11×#22902
C42×D4×C112
C2×C4×C11×C4⋊C42
#3485611