Finite Group Databasebeta

← C11×#60014 #14637207

Subgroups — C11×#60014 #14637207

Order 2816.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1452 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2770C211yesmaximal, characteristic, complemented
2C11×#2757C211yesmaximal, characteristic, complemented
3C11×#2689C211yesmaximal, characteristic, complemented
4C11×#2685C211yesmaximal, characteristic
5C11×#2609C211yesmaximal, characteristic, complemented
6C11×#2599C211yesmaximal, characteristic, complemented
7C11×#2595C211yesmaximal, characteristic, complemented
8C11×#2589C211yesmaximal, characteristic, complemented
9C11×#2578C211yesmaximal, characteristic, complemented
10C11×#2575C211yesmaximal, characteristic, complemented
11C11×#2531C211yesmaximal, characteristic, complemented
12C11×#2522C211yesmaximal, characteristic, complemented
13C11×#2522C211yesmaximal, characteristic, complemented
14C11×#2516C211yesmaximal, characteristic, complemented
15C11×#2516C211yesmaximal, characteristic, complemented
16C11×#2515C211yesmaximal, characteristic, complemented
17C11×#2485C211yesmaximal, characteristic, complemented
18C11×#2482C211yesmaximal, characteristic, complemented
19C11×#2480C211yesmaximal, characteristic, complemented
20C11×#2474C211yesmaximal, characteristic, complemented
21C11×#2472C211yesmaximal, characteristic
22C11×#2468C211yesmaximal, characteristic, complemented
23C11×#2373C211yesmaximal, characteristic, complemented
24C11×#2367C211yesmaximal, characteristic, complemented
25C11×#2362C211yesmaximal, characteristic, complemented
26C11×#2358C211yesmaximal, characteristic
27C11×#2342C211yesmaximal, characteristic, complemented
28C11×#2342C211yesmaximal, characteristic, complemented
29C4×C11×#126C211yesmaximal, characteristic, complemented
30C11×#2298C211yesmaximal, characteristic, complemented
31C11×#2293C211yesmaximal, characteristic, complemented
32C2×C11×#126C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic
34C2×C11×#124C2211yescharacteristic
35C2×C11×C22⋊Q8C2211yescharacteristic
36C2×C11×#120C2211yescharacteristic
37C2×C4×Q8×C11C2211yescharacteristic, complemented
38C2×C4×D4×C11C2211yescharacteristic
39C2×C4×D4×C11C2211yescharacteristic
40C2×C11×#117C2211yescharacteristic
41C2×C11×#117C2211yescharacteristic
42C2×C11×#117C2211yescharacteristic
43C2×C11×#117C2211yescharacteristic, complemented
44C22×C11×C22⋊C4C2211yescharacteristic
45C22×C11×C22⋊C4C2211yescharacteristic
46C22×C11×C22⋊C4C2211yescharacteristic
47C11×#400C2211yescharacteristic, complemented
48C11×#400C2211yescharacteristic, complemented
49C11×#400C2211yescharacteristic, complemented
50C11×#400C2211yescharacteristic, complemented
51C11×#399C2211yescharacteristic
52C11×#399C2211yescharacteristic
53C11×#399C2211yescharacteristic
54C11×#398C2211yescharacteristic, complemented
55C11×#398C2211yescharacteristic, complemented
56C11×#398C2211yescharacteristic, complemented
57C11×#398C2211yescharacteristic, complemented
58C11×#398C2211yescharacteristic, complemented
59C11×#397C2211yescharacteristic
60C11×#397C2211yescharacteristic
61C11×#397C2211yescharacteristic
62C11×#397C2211yescharacteristic
63C11×#397C2211yescharacteristic
64C11×#397C2211yescharacteristic
65C11×#397C2211yescharacteristic, complemented
66C11×#397C2211yescharacteristic, complemented
67C11×#397C2211yescharacteristic, complemented
68C11×#396C2211yescharacteristic
69C11×#396C2211yescharacteristic
70C11×#396C2211yescharacteristic, complemented
71C11×#395C2211yescharacteristic, complemented
72C11×#394C2211yescharacteristic
73C11×#394C2211yescharacteristic
74C11×#394C2211yescharacteristic
75C11×#394C2211yescharacteristic
76C11×#394C2211yescharacteristic
77C11×#394C2211yescharacteristic
78C11×#393C2211yescharacteristic
79C11×#391C2211yescharacteristic, complemented
80C11×#391C2211yescharacteristic, complemented
81C11×#390C2211yescharacteristic
82C11×#390C2211yescharacteristic
83C11×#390C2211yescharacteristic
84C11×#390C2211yescharacteristic
85C11×#389C2211yescharacteristic, complemented
86C11×#389C2211yescharacteristic, complemented
87C11×#389C2211yescharacteristic, complemented
88C11×#389C2211yescharacteristic, complemented
89C11×#389C2211yescharacteristic, complemented
90C11×#388C2211yescharacteristic
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×#388C2211yescharacteristic, complemented
113C11×#388C2211yescharacteristic, complemented
114C11×#388C2211yescharacteristic, complemented
115C11×#388C2211yescharacteristic, complemented
116C11×#388C2211yescharacteristic, complemented
117C11×#388C2211yescharacteristic, complemented
118C11×#388C2211yescharacteristic, complemented
119C11×#388C2211yescharacteristic, complemented
120C11×#387C2211yescharacteristic, complemented
121C11×#387C2211yescharacteristic, complemented
122C11×#387C2211yescharacteristic, complemented
123C11×#387C2211yescharacteristic, complemented
124C11×#387C2211yescharacteristic, complemented
125C11×#387C2211yescharacteristic, complemented
126C11×#387C2211yescharacteristic, complemented
127C11×#387C2211yescharacteristic, complemented
128C11×#387C2211yescharacteristic, complemented
129C11×#387C2211yescharacteristic, complemented
130C11×#387C2211yescharacteristic, complemented
131C11×#387C2211yescharacteristic, complemented
132C11×#387C2211yescharacteristic, complemented
133C11×#387C2211yescharacteristic, complemented
134C11×#387C2211yescharacteristic, complemented
135C11×#387C2211yescharacteristic, complemented
136C11×#387C2211yescharacteristic, complemented
137C11×#386C2211yescharacteristic
138C11×#386C2211yescharacteristic
139C11×#386C2211yescharacteristic
140C11×#386C2211yescharacteristic
141C11×#386C2211yescharacteristic
142C11×#385C2211yescharacteristic
143C11×#385C2211yescharacteristic
144C11×#385C2211yescharacteristic
145C11×#385C2211yescharacteristic
146C11×#385C2211yescharacteristic
147C11×#385C2211yescharacteristic
148C11×#385C2211yescharacteristic
149C11×#385C2211yescharacteristic
150C11×#385C2211yescharacteristic
151C11×#385C2211yescharacteristic
152C11×#385C2211yescharacteristic, complemented
153C11×#383C2211yescharacteristic, complemented
154C11×#383C2211yescharacteristic, complemented
155C11×#382C2211yescharacteristic, complemented
156C11×#381C2211yescharacteristic
157C11×#381C2211yescharacteristic
158C11×#381C2211yescharacteristic
159C11×#380C2211yescharacteristic
160C11×#380C2211yescharacteristic
161C11×#380C2211yescharacteristic
162C11×#380C2211yescharacteristic, complemented
163C11×#379C2211yescharacteristic
164C11×#379C2211yescharacteristic
165C11×#379C2211yescharacteristic
166C4×C11×C4⋊C4C2211yescharacteristic, complemented
167C4×C11×C4⋊C4C2211yescharacteristic, complemented
168C4×C11×C4⋊C4C2211yescharacteristic, complemented
169C4×C11×C4⋊C4C2211yescharacteristic, complemented
170C4×C11×C4⋊C4C2211yescharacteristic, complemented
171C4×C11×C4⋊C4C2211yescharacteristic, complemented
172C4×C11×C4⋊C4C2211yescharacteristic, complemented
173C4×C11×C4⋊C4C2211yescharacteristic, complemented
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
182C4×C11×C22⋊C4C2211yescharacteristic
183C4×C11×C22⋊C4C2211yescharacteristic
184C4×C11×C22⋊C4C2211yescharacteristic, complemented
185C11×#376C2211yescharacteristic, complemented
186C43×C11C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C11×#126—24no—
200C11×#126—24no—
201C11×#124—24no—
202C11×C22⋊Q8—24no—
203C11×#120—24no—
204C4×Q8×C11—42no—
205C4×D4×C11—24no—
206C4×D4×C11—42no—
207C11×#117—24no—
208C11×#117—42no—
209C11×#117—42no—
210C11×#117—42no—
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
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×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×C22⋊C4—24no—
244C2×C11×C22⋊C4—24no—
245C2×C11×C22⋊C4—42no—
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C11×C22⋊C4C2311yescharacteristic
254C2×C11×C22⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4C2311yescharacteristic
256C2×C11×C22⋊C4C2311yescharacteristic
257C2×C11×C22⋊C4C2311yescharacteristic
258C2×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×C11×C22⋊C4C2311yescharacteristic
289C2×C11×C22⋊C4C2311yescharacteristic
290C2×C42×C11C2311yescharacteristic
291C2×C42×C11C2311yescharacteristic
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
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11×#95C2311yescharacteristic
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11×#95C2311yescharacteristic
339C11×#95C2311yescharacteristic
340C11×#95C2311yescharacteristic
341C11×#95C2311yescharacteristic
342C11×#95C2311yescharacteristic
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357#60014C1111yesmaximal, characteristic, direct product factor, Sylow
358C24×C11—22no—
359C24×C11—22no—
360C24×C11—22no—
361C24×C11—41no—
362C24×C11—41no—
363C24×C11—41no—
364C24×C11—41no—
365C24×C11C2411yescharacteristic
366C24×C11C2411yescharacteristic
367C24×C11C2411yescharacteristic
368C24×C11C2411yescharacteristic
369C2×Q8×C11—22no—
370C2×Q8×C11—22no—
371C2×Q8×C11—41no—
372C2×D4×C11—22no—
373C2×D4×C11—22no—
374C2×D4×C11—22no—
375C2×D4×C11—22no—
376C2×D4×C11—22no—
377C2×D4×C11—41no—
378C2×D4×C11—41no—
379C2×D4×C11—41no—
380C2×D4×C11—41no—
381C22×C4×C11—22no—
382C22×C4×C11—22no—
383C22×C4×C11—22no—
384C22×C4×C11—22no—
385C22×C4×C11—22no—
386C22×C4×C11—22no—
387C22×C4×C11—22no—
388C22×C4×C11—22no—
389C22×C4×C11—22no—
390C22×C4×C11—22no—
391C22×C4×C11—41no—
392C22×C4×C11—41no—
393C22×C4×C11—41no—
394C22×C4×C11—41no—
395C22×C4×C11—41no—
396C22×C4×C11—41no—
397C22×C4×C11—41no—
398C22×C4×C11—41no—
399C22×C4×C11—41no—
400C22×C4×C11—41no—
401C22×C4×C11—41no—
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
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
429C11×C4⋊C4—22no—
430C11×C4⋊C4—22no—
431C11×C4⋊C4—22no—
432C11×C4⋊C4—22no—
433C11×C4⋊C4—22no—
434C11×C4⋊C4—22no—
435C11×C4⋊C4—22no—
436C11×C4⋊C4—22no—
437C11×C4⋊C4—22no—
438C11×C4⋊C4—22no—
439C11×C4⋊C4—22no—
440C11×C4⋊C4—22no—
441C11×C4⋊C4—22no—
442C11×C4⋊C4—22no—
443C11×C4⋊C4—41no—
444C11×C4⋊C4—41no—
445C11×C4⋊C4—41no—
446C11×C4⋊C4—41no—
447C11×C4⋊C4—41no—
448C11×C4⋊C4—41no—
449C11×C4⋊C4—41no—
450C11×C4⋊C4—41no—
451C11×C4⋊C4—41no—
452C11×C4⋊C4—41no—
453C11×C4⋊C4—41no—
454C11×C4⋊C4—41no—
455C11×C4⋊C4—41no—
456C11×C4⋊C4—41no—
457C11×C4⋊C4—41no—
458C11×C4⋊C4—41no—
459C11×C4⋊C4—41no—
460C11×C4⋊C4—41no—
461C11×C22⋊C4—22no—
462C11×C22⋊C4—22no—
463C11×C22⋊C4—22no—
464C11×C22⋊C4—22no—
465C11×C22⋊C4—22no—
466C11×C22⋊C4—22no—
467C11×C22⋊C4—22no—
468C11×C22⋊C4—22no—
469C11×C22⋊C4—22no—
470C11×C22⋊C4—22no—
471C11×C22⋊C4—22no—
472C11×C22⋊C4—22no—
473C11×C22⋊C4—22no—
474C11×C22⋊C4—22no—
475C11×C22⋊C4—22no—
476C11×C22⋊C4—22no—
477C11×C22⋊C4—22no—
478C11×C22⋊C4—22no—
479C11×C22⋊C4—22no—
480C11×C22⋊C4—22no—
481C11×C22⋊C4—41no—
482C11×C22⋊C4—41no—
483C11×C22⋊C4—41no—
484C11×C22⋊C4—41no—
485C11×C22⋊C4—41no—
486C11×C22⋊C4—41no—
487C11×C22⋊C4—41no—
488C11×C22⋊C4—41no—
489C11×C22⋊C4—41no—
490C11×C22⋊C4—41no—
491C11×C22⋊C4—41no—
492C11×C22⋊C4—41no—
493C11×C22⋊C4—41no—
494C11×C22⋊C4—41no—
495C11×C22⋊C4—41no—
496C11×C22⋊C4—41no—
497C11×C22⋊C4—41no—
498C11×C22⋊C4—41no—
499C11×C22⋊C4—41no—
500C11×C22⋊C4—41no—
501C11×C22⋊C4—41no—
502C11×C22⋊C4#4114yes—
503C11×C22⋊C4#4114yes—
504C11×C22⋊C4#4114yes—
505C42×C11—22no—
506C42×C11—22no—
507C42×C11—22no—
508C42×C11—22no—
509C42×C11—22no—
510C42×C11—22no—
511C42×C11—22no—
512C42×C11—22no—
513C42×C11—22no—
514C42×C11—41no—
515C42×C11—41no—
516C42×C11—41no—
517C42×C11—41no—
518C42×C11—41no—
519C42×C11—41no—
520C42×C11—41no—
521C42×C11—41no—
522C42×C11—41no—
523C42×C11—41no—
524#2770C2×C1111yescharacteristic, complemented
525#2757C2×C1111yescharacteristic, complemented
526#2689C2×C1111yescharacteristic, complemented
527#2685C2×C1111yescharacteristic
528#2609C2×C1111yescharacteristic, complemented
529#2599C2×C1111yescharacteristic, complemented
530#2595C2×C1111yescharacteristic, complemented
531#2589C2×C1111yescharacteristic, complemented
532#2578C2×C1111yescharacteristic, complemented
533#2575C2×C1111yescharacteristic, complemented
534#2531C2×C1111yescharacteristic, complemented
535#2522C2×C1111yescharacteristic, complemented
536#2522C2×C1111yescharacteristic, complemented
537#2516C2×C1111yescharacteristic, complemented
538#2516C2×C1111yescharacteristic, complemented
539#2515C2×C1111yescharacteristic, complemented
540#2485C2×C1111yescharacteristic, complemented
541#2482C2×C1111yescharacteristic, complemented
542#2480C2×C1111yescharacteristic, complemented
543#2474C2×C1111yescharacteristic, complemented
544#2472C2×C1111yescharacteristic
545#2468C2×C1111yescharacteristic, complemented
546#2373C2×C1111yescharacteristic, complemented
547#2367C2×C1111yescharacteristic, complemented
548#2362C2×C1111yescharacteristic, complemented
549#2358C2×C1111yescharacteristic
550#2342C2×C1111yescharacteristic, complemented
551#2342C2×C1111yescharacteristic, complemented
552C4×#126C2×C1111yescharacteristic, complemented
553#2298C2×C1111yescharacteristic, complemented
554#2293C2×C1111yescharacteristic, complemented
555C23×C11—21no—
556C23×C11—21no—
557C23×C11—21no—
558C23×C11—21no—
559C23×C11—21no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11—21no—
565C23×C11—21no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11—21no—
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—44no—
581C23×C11—44no—
582C23×C11—44no—
583C23×C11—82no—
584C23×C11—82no—
585C23×C11—82no—
586C23×C11—82no—
587C23×C11C2×#4112yes—
588C23×C11C2×#4112yes—
589C23×C11C2×#4112yes—
590C23×C11C2511yescharacteristic
591Q8×C11—44no—
592D4×C11—44no—
593D4×C11—44no—
594D4×C11—82no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—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—44no—
670C2×C4×C11—44no—
671C2×C4×C11—44no—
672C2×C4×C11—44no—
673C2×C4×C11—82no—
674C2×C4×C11—82no—
675C2×C4×C11—82no—
676C2×C4×C11C2×#4112yes—
677C2×C4×C11C2×#4112yes—
678C2×C4×C11C2×#4112yes—
679C2×C4×C11C2×#4112yes—
680C2×C4×C11C2×#4112yes—
681C2×C4×C11C2×#4112yes—
682C2×C4×C11H(5,𝔽2)12yes—
683C2×#126C22×C1111yescharacteristic
684C2×#126C22×C1111yescharacteristic
685C2×#124C22×C1111yescharacteristic
686C2×C22⋊Q8C22×C1111yescharacteristic
687C2×#120C22×C1111yescharacteristic
688C2×C4×Q8C22×C1111yescharacteristic, complemented
689C2×C4×D4C22×C1111yescharacteristic
690C2×C4×D4C22×C1111yescharacteristic
691C2×#117C22×C1111yescharacteristic
692C2×#117C22×C1111yescharacteristic
693C2×#117C22×C1111yescharacteristic
694C2×#117C22×C1111yescharacteristic, complemented
695C22×C22⋊C4C22×C1111yescharacteristic
696C22×C22⋊C4C22×C1111yescharacteristic
697C22×C22⋊C4C22×C1111yescharacteristic
698#400C22×C1111yescharacteristic, complemented
699#400C22×C1111yescharacteristic, complemented
700#400C22×C1111yescharacteristic, complemented
701#400C22×C1111yescharacteristic, complemented
702#399C22×C1111yescharacteristic
703#399C22×C1111yescharacteristic
704#399C22×C1111yescharacteristic
705#398C22×C1111yescharacteristic, complemented
706#398C22×C1111yescharacteristic, complemented
707#398C22×C1111yescharacteristic, complemented
708#398C22×C1111yescharacteristic, complemented
709#398C22×C1111yescharacteristic, complemented
710#397C22×C1111yescharacteristic
711#397C22×C1111yescharacteristic
712#397C22×C1111yescharacteristic
713#397C22×C1111yescharacteristic
714#397C22×C1111yescharacteristic
715#397C22×C1111yescharacteristic
716#397C22×C1111yescharacteristic, complemented
717#397C22×C1111yescharacteristic, complemented
718#397C22×C1111yescharacteristic, complemented
719#396C22×C1111yescharacteristic
720#396C22×C1111yescharacteristic
721#396C22×C1111yescharacteristic, complemented
722#395C22×C1111yescharacteristic, complemented
723#394C22×C1111yescharacteristic
724#394C22×C1111yescharacteristic
725#394C22×C1111yescharacteristic
726#394C22×C1111yescharacteristic
727#394C22×C1111yescharacteristic
728#394C22×C1111yescharacteristic
729#393C22×C1111yescharacteristic
730#391C22×C1111yescharacteristic, complemented
731#391C22×C1111yescharacteristic, complemented
732#390C22×C1111yescharacteristic
733#390C22×C1111yescharacteristic
734#390C22×C1111yescharacteristic
735#390C22×C1111yescharacteristic
736#389C22×C1111yescharacteristic, complemented
737#389C22×C1111yescharacteristic, complemented
738#389C22×C1111yescharacteristic, complemented
739#389C22×C1111yescharacteristic, complemented
740#389C22×C1111yescharacteristic, complemented
741#388C22×C1111yescharacteristic
742#388C22×C1111yescharacteristic
743#388C22×C1111yescharacteristic
744#388C22×C1111yescharacteristic
745#388C22×C1111yescharacteristic
746#388C22×C1111yescharacteristic
747#388C22×C1111yescharacteristic
748#388C22×C1111yescharacteristic
749#388C22×C1111yescharacteristic
750#388C22×C1111yescharacteristic
751#388C22×C1111yescharacteristic
752#388C22×C1111yescharacteristic
753#388C22×C1111yescharacteristic
754#388C22×C1111yescharacteristic
755#388C22×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, complemented
764#388C22×C1111yescharacteristic, complemented
765#388C22×C1111yescharacteristic, complemented
766#388C22×C1111yescharacteristic, complemented
767#388C22×C1111yescharacteristic, complemented
768#388C22×C1111yescharacteristic, complemented
769#388C22×C1111yescharacteristic, complemented
770#388C22×C1111yescharacteristic, complemented
771#387C22×C1111yescharacteristic, complemented
772#387C22×C1111yescharacteristic, complemented
773#387C22×C1111yescharacteristic, complemented
774#387C22×C1111yescharacteristic, complemented
775#387C22×C1111yescharacteristic, complemented
776#387C22×C1111yescharacteristic, complemented
777#387C22×C1111yescharacteristic, complemented
778#387C22×C1111yescharacteristic, complemented
779#387C22×C1111yescharacteristic, complemented
780#387C22×C1111yescharacteristic, complemented
781#387C22×C1111yescharacteristic, complemented
782#387C22×C1111yescharacteristic, complemented
783#387C22×C1111yescharacteristic, complemented
784#387C22×C1111yescharacteristic, complemented
785#387C22×C1111yescharacteristic, complemented
786#387C22×C1111yescharacteristic, complemented
787#387C22×C1111yescharacteristic, complemented
788#386C22×C1111yescharacteristic
789#386C22×C1111yescharacteristic
790#386C22×C1111yescharacteristic
791#386C22×C1111yescharacteristic
792#386C22×C1111yescharacteristic
793#385C22×C1111yescharacteristic
794#385C22×C1111yescharacteristic
795#385C22×C1111yescharacteristic
796#385C22×C1111yescharacteristic
797#385C22×C1111yescharacteristic
798#385C22×C1111yescharacteristic
799#385C22×C1111yescharacteristic
800#385C22×C1111yescharacteristic
801#385C22×C1111yescharacteristic
802#385C22×C1111yescharacteristic
803#385C22×C1111yescharacteristic, complemented
804#383C22×C1111yescharacteristic, complemented
805#383C22×C1111yescharacteristic, complemented
806#382C22×C1111yescharacteristic, complemented
807#381C22×C1111yescharacteristic
808#381C22×C1111yescharacteristic
809#381C22×C1111yescharacteristic
810#380C22×C1111yescharacteristic
811#380C22×C1111yescharacteristic
812#380C22×C1111yescharacteristic
813#380C22×C1111yescharacteristic, complemented
814#379C22×C1111yescharacteristic
815#379C22×C1111yescharacteristic
816#379C22×C1111yescharacteristic
817C4×C4⋊C4C22×C1111yescharacteristic, complemented
818C4×C4⋊C4C22×C1111yescharacteristic, complemented
819C4×C4⋊C4C22×C1111yescharacteristic, complemented
820C4×C4⋊C4C22×C1111yescharacteristic, complemented
821C4×C4⋊C4C22×C1111yescharacteristic, complemented
822C4×C4⋊C4C22×C1111yescharacteristic, complemented
823C4×C4⋊C4C22×C1111yescharacteristic, complemented
824C4×C4⋊C4C22×C1111yescharacteristic, complemented
825C4×C22⋊C4C22×C1111yescharacteristic
826C4×C22⋊C4C22×C1111yescharacteristic
827C4×C22⋊C4C22×C1111yescharacteristic
828C4×C22⋊C4C22×C1111yescharacteristic
829C4×C22⋊C4C22×C1111yescharacteristic
830C4×C22⋊C4C22×C1111yescharacteristic
831C4×C22⋊C4C22×C1111yescharacteristic
832C4×C22⋊C4C22×C1111yescharacteristic
833C4×C22⋊C4C22×C1111yescharacteristic
834C4×C22⋊C4C22×C1111yescharacteristic
835C4×C22⋊C4C22×C1111yescharacteristic, complemented
836#376C22×C1111yescharacteristic, complemented
837C43C22×C1111yescharacteristic, complemented
838C22×C11—22no—
839C22×C11—22no—
840C22×C11—22no—
841C22×C11—22no—
842C22×C11—22no—
843C22×C11—22no—
844C22×C11—22no—
845C22×C11—22no—
846C22×C11—22no—
847C22×C11—41no—
848C22×C11—41no—
849C22×C11—41no—
850C22×C11—41no—
851C22×C11—41no—
852C22×C11—41no—
853C22×C11—41no—
854C22×C11—41no—
855C22×C11—41no—
856C22×C11—41no—
857C22×C11—41no—
858C22×C11—41no—
859C22×C11—41no—
860C22×C11—41no—
861C22×C11—41no—
862C22×C11—41no—
863C22×C11—41no—
864C22×C11—41no—
865C22×C11—41no—
866C22×C11—88no—
867C22×C11C22×#4111yescharacteristic
868C22×C11C22×#4111yescharacteristic
869C22×C11C22×#4111yescharacteristic
870C22×C11C2×H(5,𝔽2)11yescharacteristic
871C22×C11#58511yescharacteristic
872C22×C11#58511yescharacteristic
873C22×C11#58511yescharacteristic
874C4×C11—22no—
875C4×C11—22no—
876C4×C11—22no—
877C4×C11—22no—
878C4×C11—22no—
879C4×C11—22no—
880C4×C11—22no—
881C4×C11—41no—
882C4×C11—41no—
883C4×C11—41no—
884C4×C11—41no—
885C4×C11—41no—
886C4×C11—41no—
887C4×C11—41no—
888C4×C11—41no—
889C4×C11—41no—
890C4×C11—41no—
891C4×C11—41no—
892C4×C11—41no—
893C4×C11—41no—
894C4×C11—41no—
895C4×C11—41no—
896C4×C11—41no—
897C4×C11—41no—
898C4×C11—41no—
899C4×C11—41no—
900C4×C11—41no—
901C25C23×C1111yescharacteristic
902C22×Q8C23×C1111yescharacteristic
903C22×D4C23×C1111yescharacteristic
904C22×D4C23×C1111yescharacteristic
905C22×D4C23×C1111yescharacteristic
906C23×C4C23×C1111yescharacteristic
907C23×C4C23×C1111yescharacteristic
908C23×C4C23×C1111yescharacteristic
909C23×C4C23×C1111yescharacteristic
910C23×C4C23×C1111yescharacteristic
911C23×C4C23×C1111yescharacteristic
912C23×C4C23×C1111yescharacteristic
913#126—24no—
914#126—24no—
915#124—24no—
916C22⋊Q8—24no—
917#120—24no—
918C4×Q8—42no—
919C4×D4—24no—
920C4×D4—42no—
921#117—24no—
922#117—42no—
923#117—42no—
924#117—42no—
925C2×C4⋊C4C23×C1111yescharacteristic
926C2×C4⋊C4C23×C1111yescharacteristic
927C2×C4⋊C4C23×C1111yescharacteristic
928C2×C4⋊C4C23×C1111yescharacteristic
929C2×C4⋊C4C23×C1111yescharacteristic
930C2×C4⋊C4C23×C1111yescharacteristic
931C2×C4⋊C4C23×C1111yescharacteristic
932C2×C4⋊C4C23×C1111yescharacteristic
933C2×C4⋊C4C23×C1111yescharacteristic
934C2×C4⋊C4C23×C1111yescharacteristic
935C2×C4⋊C4C23×C1111yescharacteristic
936C2×C4⋊C4C23×C1111yescharacteristic
937C2×C4⋊C4C23×C1111yescharacteristic
938C2×C4⋊C4C23×C1111yescharacteristic
939C2×C4⋊C4C23×C1111yescharacteristic
940C2×C4⋊C4C23×C1111yescharacteristic
941C2×C4⋊C4C23×C1111yescharacteristic
942C2×C4⋊C4C23×C1111yescharacteristic
943C2×C4⋊C4C23×C1111yescharacteristic
944C2×C4⋊C4C23×C1111yescharacteristic
945C2×C4⋊C4C23×C1111yescharacteristic
946C2×C4⋊C4C23×C1111yescharacteristic
947C2×C4⋊C4C23×C1111yescharacteristic
948C2×C4⋊C4C23×C1111yescharacteristic
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×C22⋊C4—24no—
958C2×C22⋊C4—24no—
959C2×C22⋊C4—42no—
960C2×C22⋊C4C23×C1111yescharacteristic
961C2×C22⋊C4C23×C1111yescharacteristic
962C2×C22⋊C4C23×C1111yescharacteristic
963C2×C22⋊C4C23×C1111yescharacteristic
964C2×C22⋊C4C23×C1111yescharacteristic
965C2×C22⋊C4C23×C1111yescharacteristic
966C2×C22⋊C4C23×C1111yescharacteristic
967C2×C22⋊C4C23×C1111yescharacteristic
968C2×C22⋊C4C23×C1111yescharacteristic
969C2×C22⋊C4C23×C1111yescharacteristic
970C2×C22⋊C4C23×C1111yescharacteristic
971C2×C22⋊C4C23×C1111yescharacteristic
972C2×C22⋊C4C23×C1111yescharacteristic
973C2×C22⋊C4C23×C1111yescharacteristic
974C2×C22⋊C4C23×C1111yescharacteristic
975C2×C22⋊C4C23×C1111yescharacteristic
976C2×C22⋊C4C23×C1111yescharacteristic
977C2×C22⋊C4C23×C1111yescharacteristic
978C2×C22⋊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×C42C23×C1111yescharacteristic
1005C2×C42C23×C1111yescharacteristic
1006C2×C42C23×C1111yescharacteristic
1007C2×C42C23×C1111yescharacteristic
1008C2×C42C23×C1111yescharacteristic
1009C2×C42C23×C1111yescharacteristic
1010C2×C42C23×C1111yescharacteristic
1011C2×C42C23×C1111yescharacteristic
1012C2×C42C23×C1111yescharacteristic
1013C2×C42C23×C1111yescharacteristic
1014C2×C42C23×C1111yescharacteristic
1015C2×C42C23×C1111yescharacteristic
1016C2×C42C23×C1111yescharacteristic
1017C2×C42C23×C1111yescharacteristic
1018C2×C42C23×C1111yescharacteristic
1019C2×C42C23×C1111yescharacteristic
1020C2×C42C23×C1111yescharacteristic
1021C2×C42C23×C1111yescharacteristic
1022C2×C42C23×C1111yescharacteristic
1023#95C23×C1111yescharacteristic
1024#95C23×C1111yescharacteristic
1025#95C23×C1111yescharacteristic
1026#95C23×C1111yescharacteristic
1027#95C23×C1111yescharacteristic
1028#95C23×C1111yescharacteristic
1029#95C23×C1111yescharacteristic
1030#95C23×C1111yescharacteristic
1031#95C23×C1111yescharacteristic
1032#95C23×C1111yescharacteristic
1033#95C23×C1111yescharacteristic
1034#95C23×C1111yescharacteristic
1035#95C23×C1111yescharacteristic
1036#95C23×C1111yescharacteristic
1037#95C23×C1111yescharacteristic
1038#95C23×C1111yescharacteristic
1039#95C23×C1111yescharacteristic
1040#95C23×C1111yescharacteristic
1041#95C23×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
1071C2×C11—42no—
1072C2×C11—42no—
1073C2×C11—42no—
1074C2×C11—81no—
1075C2×C11#347511yescharacteristic
1076C2×C11#347511yescharacteristic
1077C2×C11#348111yescharacteristic
1078C2×C11#351011yescharacteristic
1079C2×C11#351311yescharacteristic
1080C2×C11#352111yescharacteristic
1081C2×C11#355111yescharacteristic
1082C24—22no—
1083C24—22no—
1084C24—22no—
1085C24—41no—
1086C24—41no—
1087C24—41no—
1088C24—41no—
1089C24C24×C1111yescharacteristic
1090C24C24×C1111yescharacteristic
1091C24C24×C1111yescharacteristic
1092C24C24×C1111yescharacteristic
1093C2×Q8—22no—
1094C2×Q8—22no—
1095C2×Q8—41no—
1096C2×D4—22no—
1097C2×D4—22no—
1098C2×D4—22no—
1099C2×D4—22no—
1100C2×D4—22no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4C24×C1111yescharacteristic
1127C22×C4C24×C1111yescharacteristic
1128C22×C4C24×C1111yescharacteristic
1129C22×C4C24×C1111yescharacteristic
1130C22×C4C24×C1111yescharacteristic
1131C22×C4C24×C1111yescharacteristic
1132C22×C4C24×C1111yescharacteristic
1133C22×C4C24×C1111yescharacteristic
1134C22×C4C24×C1111yescharacteristic
1135C22×C4C24×C1111yescharacteristic
1136C22×C4C24×C1111yescharacteristic
1137C22×C4C24×C1111yescharacteristic
1138C22×C4C24×C1111yescharacteristic
1139C22×C4C24×C1111yescharacteristic
1140C22×C4C24×C1111yescharacteristic
1141C22×C4C24×C1111yescharacteristic
1142C22×C4C24×C1111yescharacteristic
1143C22×C4C24×C1111yescharacteristic
1144C22×C4C24×C1111yescharacteristic
1145C22×C4C24×C1111yescharacteristic
1146C22×C4C24×C1111yescharacteristic
1147C22×C4C24×C1111yescharacteristic
1148C22×C4C24×C1111yescharacteristic
1149C22×C4C24×C1111yescharacteristic
1150C22×C4C24×C1111yescharacteristic
1151C22×C4C24×C1111yescharacteristic
1152C22×C4C24×C1111yescharacteristic
1153C4⋊C4—22no—
1154C4⋊C4—22no—
1155C4⋊C4—22no—
1156C4⋊C4—22no—
1157C4⋊C4—22no—
1158C4⋊C4—22no—
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—22no—
1162C4⋊C4—22no—
1163C4⋊C4—22no—
1164C4⋊C4—22no—
1165C4⋊C4—22no—
1166C4⋊C4—22no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C22⋊C4—22no—
1186C22⋊C4—22no—
1187C22⋊C4—22no—
1188C22⋊C4—22no—
1189C22⋊C4—22no—
1190C22⋊C4—22no—
1191C22⋊C4—22no—
1192C22⋊C4—22no—
1193C22⋊C4—22no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—41no—
1206C22⋊C4—41no—
1207C22⋊C4—41no—
1208C22⋊C4—41no—
1209C22⋊C4—41no—
1210C22⋊C4—41no—
1211C22⋊C4—41no—
1212C22⋊C4—41no—
1213C22⋊C4—41no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4C11×#4114yes—
1227C22⋊C4C11×#4114yes—
1228C22⋊C4C11×#4114yes—
1229C42—22no—
1230C42—22no—
1231C42—22no—
1232C42—22no—
1233C42—22no—
1234C42—22no—
1235C42—22no—
1236C42—22no—
1237C42—22no—
1238C42—41no—
1239C42—41no—
1240C42—41no—
1241C42—41no—
1242C42—41no—
1243C42—41no—
1244C42—41no—
1245C42—41no—
1246C42—41no—
1247C42—41no—
1248C11#6001411yescharacteristic, direct product factor, Sylow
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—44no—
1275C23—44no—
1276C23—44no—
1277C23—82no—
1278C23—82no—
1279C23—82no—
1280C23—82no—
1281C23C2×C11×#4112yes—
1282C23C2×C11×#4112yes—
1283C23C2×C11×#4112yes—
1284C23C25×C1111yescharacteristic
1285Q8—44no—
1286D4—44no—
1287D4—44no—
1288D4—82no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—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—21no—
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—44no—
1364C2×C4—44no—
1365C2×C4—44no—
1366C2×C4—44no—
1367C2×C4—82no—
1368C2×C4—82no—
1369C2×C4—82no—
1370C2×C4C2×C11×#4112yes—
1371C2×C4C2×C11×#4112yes—
1372C2×C4C2×C11×#4112yes—
1373C2×C4C2×C11×#4112yes—
1374C2×C4C2×C11×#4112yes—
1375C2×C4C2×C11×#4112yes—
1376C2×C4C11×H(5,𝔽2)12yes—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—22no—
1384C22—22no—
1385C22—22no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—88no—
1406C22C22×C11×#4111yescharacteristic
1407C22C22×C11×#4111yescharacteristic
1408C22C22×C11×#4111yescharacteristic
1409C22C2×C11×H(5,𝔽2)11yescharacteristic
1410C22C11×#58511yescharacteristic
1411C22C11×#58511yescharacteristic
1412C22C11×#58511yescharacteristic
1413C4—22no—
1414C4—22no—
1415C4—22no—
1416C4—22no—
1417C4—22no—
1418C4—22no—
1419C4—22no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C4—41no—
1439C4—41no—
1440C2—42no—
1441C2—42no—
1442C2—42no—
1443C2—81no—
1444C2C11×#347511yescharacteristic
1445C2C11×#347511yescharacteristic
1446C2C11×#348111yescharacteristic
1447C2C11×#351011yescharacteristic
1448C2C11×#351311yescharacteristic
1449C2C11×#352111yescharacteristic
1450C2C11×#355111yescharacteristic
subgroupG/H
center, socleC23×C11C25
commutator, Frattini, cosocleC23C25×C11
prime radicalC2×C11×#120C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#2770C2semidirect
2. C11×#2757C2semidirect
3. C11×#2689C2semidirect
5. C11×#2609C2semidirect
6. C11×#2599C2semidirect
7. C11×#2595C2semidirect
8. C11×#2589C2semidirect
9. C11×#2578C2semidirect
10. C11×#2575C2semidirect
11. C11×#2531C2semidirect
12. C11×#2522C2semidirect
13. C11×#2522C2semidirect
14. C11×#2516C2semidirect
15. C11×#2516C2semidirect
16. C11×#2515C2semidirect
17. C11×#2485C2semidirect
18. C11×#2482C2semidirect
19. C11×#2480C2semidirect
20. C11×#2474C2semidirect
22. C11×#2468C2semidirect
23. C11×#2373C2semidirect
24. C11×#2367C2semidirect
25. C11×#2362C2semidirect
27. C11×#2342C2semidirect
28. C11×#2342C2semidirect
29. C4×C11×#126C2semidirect
30. C11×#2298C2semidirect
31. C11×#2293C2semidirect
37. C2×C4×Q8×C11C22semidirect
43. C2×C11×#117C22semidirect
47. C11×#400C22semidirect
48. C11×#400C22semidirect
49. C11×#400C22semidirect
50. C11×#400C22semidirect
54. C11×#398C22semidirect
55. C11×#398C22semidirect
56. C11×#398C22semidirect
57. C11×#398C22semidirect
58. C11×#398C22semidirect
65. C11×#397C22semidirect
66. C11×#397C22semidirect
67. C11×#397C22semidirect
70. C11×#396C22semidirect
71. C11×#395C22semidirect
79. C11×#391C22semidirect
80. C11×#391C22semidirect
85. C11×#389C22semidirect
86. C11×#389C22semidirect
87. C11×#389C22semidirect
88. C11×#389C22semidirect
89. C11×#389C22semidirect
112. C11×#388C22semidirect
113. C11×#388C22semidirect
114. C11×#388C22semidirect
115. C11×#388C22semidirect
116. C11×#388C22semidirect
117. C11×#388C22semidirect
118. C11×#388C22semidirect
119. C11×#388C22semidirect
120. C11×#387C22semidirect
121. C11×#387C22semidirect
122. C11×#387C22semidirect
123. C11×#387C22semidirect
124. C11×#387C22semidirect
125. C11×#387C22semidirect
126. C11×#387C22semidirect
127. C11×#387C22semidirect
128. C11×#387C22semidirect
129. C11×#387C22semidirect
130. C11×#387C22semidirect
131. C11×#387C22semidirect
132. C11×#387C22semidirect
133. C11×#387C22semidirect
134. C11×#387C22semidirect
135. C11×#387C22semidirect
136. C11×#387C22semidirect
152. C11×#385C22semidirect
153. C11×#383C22semidirect
154. C11×#383C22semidirect
155. C11×#382C22semidirect
162. C11×#380C22semidirect
166. C4×C11×C4⋊C4C22semidirect
167. C4×C11×C4⋊C4C22semidirect
168. C4×C11×C4⋊C4C22semidirect
169. C4×C11×C4⋊C4C22semidirect
170. C4×C11×C4⋊C4C22semidirect
171. C4×C11×C4⋊C4C22semidirect
172. C4×C11×C4⋊C4C22semidirect
173. C4×C11×C4⋊C4C22semidirect
184. C4×C11×C22⋊C4C22semidirect
185. C11×#376C22semidirect
186. C43×C11C22semidirect
357. #60014C11direct (N × H)
524. #2770C2×C11semidirect
525. #2757C2×C11semidirect
526. #2689C2×C11semidirect
528. #2609C2×C11semidirect
529. #2599C2×C11semidirect
530. #2595C2×C11semidirect
531. #2589C2×C11semidirect
532. #2578C2×C11semidirect
533. #2575C2×C11semidirect
534. #2531C2×C11semidirect
535. #2522C2×C11semidirect
536. #2522C2×C11semidirect
537. #2516C2×C11semidirect
538. #2516C2×C11semidirect
539. #2515C2×C11semidirect
540. #2485C2×C11semidirect
541. #2482C2×C11semidirect
542. #2480C2×C11semidirect
543. #2474C2×C11semidirect
545. #2468C2×C11semidirect
546. #2373C2×C11semidirect
547. #2367C2×C11semidirect
548. #2362C2×C11semidirect
550. #2342C2×C11semidirect
551. #2342C2×C11semidirect
552. C4×#126C2×C11semidirect
553. #2298C2×C11semidirect
554. #2293C2×C11semidirect
688. C2×C4×Q8C22×C11semidirect
694. C2×#117C22×C11semidirect
698. #400C22×C11semidirect
699. #400C22×C11semidirect
700. #400C22×C11semidirect
701. #400C22×C11semidirect
705. #398C22×C11semidirect
706. #398C22×C11semidirect
707. #398C22×C11semidirect
708. #398C22×C11semidirect
709. #398C22×C11semidirect
716. #397C22×C11semidirect
717. #397C22×C11semidirect
718. #397C22×C11semidirect
721. #396C22×C11semidirect
722. #395C22×C11semidirect
730. #391C22×C11semidirect
731. #391C22×C11semidirect
736. #389C22×C11semidirect
737. #389C22×C11semidirect
738. #389C22×C11semidirect
739. #389C22×C11semidirect
740. #389C22×C11semidirect
763. #388C22×C11semidirect
764. #388C22×C11semidirect
765. #388C22×C11semidirect
766. #388C22×C11semidirect
767. #388C22×C11semidirect
768. #388C22×C11semidirect
769. #388C22×C11semidirect
770. #388C22×C11semidirect
771. #387C22×C11semidirect
772. #387C22×C11semidirect
773. #387C22×C11semidirect
774. #387C22×C11semidirect
775. #387C22×C11semidirect
776. #387C22×C11semidirect
777. #387C22×C11semidirect
778. #387C22×C11semidirect
779. #387C22×C11semidirect
780. #387C22×C11semidirect
781. #387C22×C11semidirect
782. #387C22×C11semidirect
783. #387C22×C11semidirect
784. #387C22×C11semidirect
785. #387C22×C11semidirect
786. #387C22×C11semidirect
787. #387C22×C11semidirect
803. #385C22×C11semidirect
804. #383C22×C11semidirect
805. #383C22×C11semidirect
806. #382C22×C11semidirect
813. #380C22×C11semidirect
817. C4×C4⋊C4C22×C11semidirect
818. C4×C4⋊C4C22×C11semidirect
819. C4×C4⋊C4C22×C11semidirect
820. C4×C4⋊C4C22×C11semidirect
821. C4×C4⋊C4C22×C11semidirect
822. C4×C4⋊C4C22×C11semidirect
823. C4×C4⋊C4C22×C11semidirect
824. C4×C4⋊C4C22×C11semidirect
835. C4×C22⋊C4C22×C11semidirect
836. #376C22×C11semidirect
837. C43C22×C11semidirect
1248. C11#60014direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#27702
C11×#27572
C11×#26892
C11×#26852
C11×#26092
C11×#25992
C11×#25952
C11×#25892
C11×#25782
C11×#25752
C11×#25312
C11×#25222
C11×#25162
C11×#25152
C11×#24852
C11×#24822
C11×#24802
C11×#24742
C11×#24722
C11×#24682
C11×#23732
C11×#23672
C11×#23622
C11×#23582
C11×#23422
C4×C11×#1262
C11×#22982
C11×#22932
#6001411