Finite Group Databasebeta

← C11×#36780 #14613973

Subgroups — C11×#36780 #14613973

Order 2816.

1742 conjugacy classes of subgroups.

The subgroup lattice has 1460 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2852C211yesmaximal, characteristic, complemented
2C11×#2851C211yesmaximal, characteristic, complemented
3C11×#2786C211yesmaximal, characteristic, complemented
4C11×#2782C211yesmaximal, characteristic, complemented
5C11×#2770C211yesmaximal, characteristic, complemented
6C11×#2770C211yesmaximal, characteristic, complemented
7C11×#2747C211yesmaximal, characteristic, complemented
8C11×#2746C211yesmaximal, characteristic, complemented
9C11×#2745C211yesmaximal, characteristic, complemented
10C11×#2744C211yesmaximal, characteristic, complemented
11C11×#2744C211yesmaximal, characteristic, complemented
12C11×#2743C211yesmaximal, characteristic, complemented
13C11×#2738C211yesmaximal, characteristic, complemented
14C11×#2737C211yesmaximal, characteristic, complemented
15C11×#2723C211yesmaximal, characteristic, complemented
16C11×#2695C211yesmaximal, characteristic, complemented
17C11×#2694C211yesmaximal, characteristic, complemented
18C11×#2690C211yesmaximal, characteristic, complemented
19C11×#2627C211yesmaximal, characteristic, complemented
20C11×#2623C211yesmaximal, characteristic, complemented
21C11×#2505C211yesmaximal, characteristic, complemented
22C11×#2493C211yesmaximal, characteristic, complemented
23C11×#2483C211yesmaximal, characteristic, complemented
24C11×#2450C211yesmaximal, characteristic, complemented
25C11×#2437C211yesmaximal, characteristic, complemented
26C11×#2419C211yesmaximal, characteristic, complemented
27C11×#2412C211yesmaximal, characteristic
28C11×#2412C211yesmaximal, characteristic
29C11×#2321C211yesmaximal, characteristic
30C11×#2315C211yesmaximal, characteristic, complemented
31C2×C11×#388C211yesmaximal, characteristic, complemented
32C2×C11×#126C2211yescharacteristic, complemented
33C2×C11×#125C2211yescharacteristic, complemented
34C2×C11×#123C2211yescharacteristic
35C2×C11×#123C2211yescharacteristic
36C2×C11×C22⋊Q8C2211yescharacteristic
37C2×C11×C22⋊Q8C2211yescharacteristic
38C2×C11×#120C2211yescharacteristic
39C2×C4×D4×C11C2211yescharacteristic
40C22×C11×C4⋊C4C2211yescharacteristic
41C22×C11×C22⋊C4C2211yescharacteristic
42C22×C11×C22⋊C4C2211yescharacteristic
43C22×C11×C22⋊C4C2211yescharacteristic
44C22×C11×C22⋊C4C2211yescharacteristic
45C22×C11×C22⋊C4C2211yescharacteristic
46C22×C42×C11C2211yescharacteristic
47C11×#401C2211yescharacteristic, complemented
48C11×#400C2211yescharacteristic, complemented
49C11×#400C2211yescharacteristic, complemented
50C11×#400C2211yescharacteristic, complemented
51C11×#400C2211yescharacteristic, complemented
52C11×#400C2211yescharacteristic, complemented
53C11×#400C2211yescharacteristic, complemented
54C11×#400C2211yescharacteristic, complemented
55C11×#400C2211yescharacteristic, complemented
56C11×#400C2211yescharacteristic, complemented
57C11×#400C2211yescharacteristic, complemented
58C11×#400C2211yescharacteristic, complemented
59C11×#400C2211yescharacteristic, complemented
60C11×#399C2211yescharacteristic
61C11×#399C2211yescharacteristic, complemented
62C11×#399C2211yescharacteristic, complemented
63C11×#398C2211yescharacteristic, complemented
64C11×#398C2211yescharacteristic, complemented
65C11×#398C2211yescharacteristic, complemented
66C11×#398C2211yescharacteristic, complemented
67C11×#398C2211yescharacteristic, complemented
68C11×#398C2211yescharacteristic, complemented
69C11×#398C2211yescharacteristic, complemented
70C11×#398C2211yescharacteristic, complemented
71C11×#398C2211yescharacteristic, complemented
72C11×#397C2211yescharacteristic
73C11×#397C2211yescharacteristic
74C11×#397C2211yescharacteristic
75C11×#397C2211yescharacteristic
76C11×#397C2211yescharacteristic
77C11×#397C2211yescharacteristic
78C11×#397C2211yescharacteristic
79C11×#397C2211yescharacteristic
80C11×#397C2211yescharacteristic, complemented
81C11×#397C2211yescharacteristic, complemented
82C11×#397C2211yescharacteristic, complemented
83C11×#397C2211yescharacteristic, complemented
84C11×#396C2211yescharacteristic
85C11×#396C2211yescharacteristic
86C11×#396C2211yescharacteristic, complemented
87C11×#395C2211yescharacteristic, complemented
88C11×#395C2211yescharacteristic, complemented
89C11×#394C2211yescharacteristic
90C11×#394C2211yescharacteristic
91C11×#394C2211yescharacteristic
92C11×#394C2211yescharacteristic
93C11×#393C2211yescharacteristic
94C11×#393C2211yescharacteristic, complemented
95C11×#391C2211yescharacteristic, complemented
96C11×#390C2211yescharacteristic
97C11×#390C2211yescharacteristic
98C11×#389C2211yescharacteristic, complemented
99C11×#389C2211yescharacteristic, complemented
100C11×#389C2211yescharacteristic, complemented
101C11×#388C2211yescharacteristic
102C11×#388C2211yescharacteristic
103C11×#388C2211yescharacteristic
104C11×#388C2211yescharacteristic
105C11×#388C2211yescharacteristic
106C11×#388C2211yescharacteristic
107C11×#388C2211yescharacteristic
108C11×#388C2211yescharacteristic
109C11×#388C2211yescharacteristic
110C11×#388C2211yescharacteristic
111C11×#388C2211yescharacteristic
112C11×#388C2211yescharacteristic
113C11×#388C2211yescharacteristic, complemented
114C11×#388C2211yescharacteristic, complemented
115C11×#388C2211yescharacteristic, complemented
116C11×#387C2211yescharacteristic, complemented
117C11×#387C2211yescharacteristic, complemented
118C11×#387C2211yescharacteristic, complemented
119C11×#387C2211yescharacteristic, 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×#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×#385C2211yescharacteristic
148C11×#385C2211yescharacteristic
149C11×#385C2211yescharacteristic
150C11×#385C2211yescharacteristic
151C11×#385C2211yescharacteristic
152C11×#385C2211yescharacteristic
153C11×#385C2211yescharacteristic
154C11×#385C2211yescharacteristic
155C11×#385C2211yescharacteristic
156C11×#385C2211yescharacteristic
157C11×#385C2211yescharacteristic
158C11×#385C2211yescharacteristic
159C11×#385C2211yescharacteristic, complemented
160C11×#385C2211yescharacteristic, complemented
161C11×#383C2211yescharacteristic, complemented
162C11×#383C2211yescharacteristic, complemented
163C11×#382C2211yescharacteristic, complemented
164C11×#382C2211yescharacteristic, complemented
165C11×#381C2211yescharacteristic
166C11×#381C2211yescharacteristic
167C11×#381C2211yescharacteristic
168C11×#381C2211yescharacteristic
169C11×#381C2211yescharacteristic
170C11×#381C2211yescharacteristic
171C11×#381C2211yescharacteristic, complemented
172C11×#380C2211yescharacteristic
173C11×#380C2211yescharacteristic
174C11×#380C2211yescharacteristic
175C11×#380C2211yescharacteristic
176C11×#380C2211yescharacteristic
177C11×#380C2211yescharacteristic
178C11×#380C2211yescharacteristic
179C11×#380C2211yescharacteristic
180C11×#380C2211yescharacteristic
181C11×#380C2211yescharacteristic
182C11×#380C2211yescharacteristic, complemented
183C11×#379C2211yescharacteristic
184C4×C11×C22⋊C4C2211yescharacteristic
185C2×C11×#95C2211yescharacteristic
186C2×C11×#95C2211yescharacteristic
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
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C11×#126—42no—
204C11×#125—42no—
205C11×#123—42no—
206C11×#123—42no—
207C11×C22⋊Q8—42no—
208C11×C22⋊Q8—42no—
209C11×#120—24no—
210C4×D4×C11—42no—
211C2×C11×C4⋊C4—42no—
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×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4—24no—
249C2×C11×C22⋊C4—24no—
250C2×C11×C22⋊C4—42no—
251C2×C11×C22⋊C4—42no—
252C2×C11×C22⋊C4—42no—
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×C11×C22⋊C4C2311yescharacteristic
291C2×C11×C22⋊C4C2311yescharacteristic
292C2×C11×C22⋊C4C2311yescharacteristic
293C2×C42×C11—42no—
294C2×C42×C11C2311yescharacteristic
295C2×C42×C11C2311yescharacteristic
296C2×C42×C11C2311yescharacteristic
297C2×C42×C11C2311yescharacteristic
298C2×C42×C11C2311yescharacteristic
299C2×C42×C11C2311yescharacteristic
300C2×C42×C11C2311yescharacteristic
301C11×#95C2311yescharacteristic
302C11×#95C2311yescharacteristic
303C11×#95C2311yescharacteristic
304C11×#95C2311yescharacteristic
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
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#36780C1111yesmaximal, characteristic, direct product factor, Sylow
358C24×C11—22no—
359C24×C11—22no—
360C24×C11—41no—
361C24×C11—41no—
362C24×C11—41no—
363C24×C11—41no—
364C24×C11#4114yes—
365C24×C11C2411yescharacteristic
366C24×C11C2411yescharacteristic
367C24×C11C2411yescharacteristic
368C24×C11C2411yescharacteristic
369C2×Q8×C11—41no—
370C2×Q8×C11—41no—
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—22no—
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×C11—41no—
403C22×C4×C11—41no—
404C22×C4×C11—41no—
405C22×C4×C11—41no—
406C22×C4×C11—41no—
407C22×C4×C11—41no—
408C22×C4×C11—41no—
409C22×C4×C11—41no—
410C22×C4×C11—41no—
411C22×C4×C11—41no—
412C22×C4×C11—41no—
413C22×C4×C11—41no—
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
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
441C11×C4⋊C4—22no—
442C11×C4⋊C4—22no—
443C11×C4⋊C4—22no—
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×C4⋊C4—41no—
462C11×C4⋊C4—41no—
463C11×C4⋊C4—41no—
464C11×C4⋊C4—41no—
465C11×C4⋊C4—41no—
466C11×C4⋊C4—41no—
467C11×C4⋊C4—41no—
468C11×C4⋊C4—41no—
469C11×C4⋊C4—41no—
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×C22⋊C4—22no—
478C11×C22⋊C4—22no—
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—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—41no—
503C11×C22⋊C4—41no—
504C11×C22⋊C4—41no—
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—
515C11×C22⋊C4—41no—
516C11×C22⋊C4—41no—
517C42×C11—22no—
518C42×C11—22no—
519C42×C11—41no—
520C42×C11—41no—
521C42×C11—41no—
522C42×C11—41no—
523C42×C11—41no—
524#2852C2×C1111yescharacteristic, complemented
525#2851C2×C1111yescharacteristic, complemented
526#2786C2×C1111yescharacteristic, complemented
527#2782C2×C1111yescharacteristic, complemented
528#2770C2×C1111yescharacteristic, complemented
529#2770C2×C1111yescharacteristic, complemented
530#2747C2×C1111yescharacteristic, complemented
531#2746C2×C1111yescharacteristic, complemented
532#2745C2×C1111yescharacteristic, complemented
533#2744C2×C1111yescharacteristic, complemented
534#2744C2×C1111yescharacteristic, complemented
535#2743C2×C1111yescharacteristic, complemented
536#2738C2×C1111yescharacteristic, complemented
537#2737C2×C1111yescharacteristic, complemented
538#2723C2×C1111yescharacteristic, complemented
539#2695C2×C1111yescharacteristic, complemented
540#2694C2×C1111yescharacteristic, complemented
541#2690C2×C1111yescharacteristic, complemented
542#2627C2×C1111yescharacteristic, complemented
543#2623C2×C1111yescharacteristic, complemented
544#2505C2×C1111yescharacteristic, complemented
545#2493C2×C1111yescharacteristic, complemented
546#2483C2×C1111yescharacteristic, complemented
547#2450C2×C1111yescharacteristic, complemented
548#2437C2×C1111yescharacteristic, complemented
549#2419C2×C1111yescharacteristic, complemented
550#2412C2×C1111yescharacteristic
551#2412C2×C1111yescharacteristic
552#2321C2×C1111yescharacteristic
553#2315C2×C1111yescharacteristic, complemented
554C2×#388C2×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—28no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11—21no—
578C23×C11—21no—
579C23×C11—44no—
580C23×C11—44no—
581C23×C11—82no—
582C23×C11—82no—
583C23×C11—82no—
584C23×C11—82no—
585C23×C11C2×#4112yes—
586C23×C11C2×#4112yes—
587C23×C11C2×#4112yes—
588C23×C11H(5,𝔽2)12yes—
589C23×C112−1+412yes—
590C23×C11C2511yescharacteristic
591Q8×C11—82no—
592D4×C11—44no—
593D4×C11—82no—
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—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—82no—
680C2×C4×C11—82no—
681C2×C4×C11—82no—
682C2×C4×C11—82no—
683C2×C4×C11—82no—
684C2×C4×C11—82no—
685C2×C4×C11—82no—
686C2×C4×C11H(5,𝔽2)12yes—
687C2×#126C22×C1111yescharacteristic, complemented
688C2×#125C22×C1111yescharacteristic, complemented
689C2×#123C22×C1111yescharacteristic
690C2×#123C22×C1111yescharacteristic
691C2×C22⋊Q8C22×C1111yescharacteristic
692C2×C22⋊Q8C22×C1111yescharacteristic
693C2×#120C22×C1111yescharacteristic
694C2×C4×D4C22×C1111yescharacteristic
695C22×C4⋊C4C22×C1111yescharacteristic
696C22×C22⋊C4C22×C1111yescharacteristic
697C22×C22⋊C4C22×C1111yescharacteristic
698C22×C22⋊C4C22×C1111yescharacteristic
699C22×C22⋊C4C22×C1111yescharacteristic
700C22×C22⋊C4C22×C1111yescharacteristic
701C22×C42C22×C1111yescharacteristic
702#401C22×C1111yescharacteristic, complemented
703#400C22×C1111yescharacteristic, complemented
704#400C22×C1111yescharacteristic, complemented
705#400C22×C1111yescharacteristic, complemented
706#400C22×C1111yescharacteristic, complemented
707#400C22×C1111yescharacteristic, complemented
708#400C22×C1111yescharacteristic, complemented
709#400C22×C1111yescharacteristic, complemented
710#400C22×C1111yescharacteristic, complemented
711#400C22×C1111yescharacteristic, complemented
712#400C22×C1111yescharacteristic, complemented
713#400C22×C1111yescharacteristic, complemented
714#400C22×C1111yescharacteristic, complemented
715#399C22×C1111yescharacteristic
716#399C22×C1111yescharacteristic, complemented
717#399C22×C1111yescharacteristic, complemented
718#398C22×C1111yescharacteristic, complemented
719#398C22×C1111yescharacteristic, complemented
720#398C22×C1111yescharacteristic, complemented
721#398C22×C1111yescharacteristic, complemented
722#398C22×C1111yescharacteristic, complemented
723#398C22×C1111yescharacteristic, complemented
724#398C22×C1111yescharacteristic, complemented
725#398C22×C1111yescharacteristic, complemented
726#398C22×C1111yescharacteristic, complemented
727#397C22×C1111yescharacteristic
728#397C22×C1111yescharacteristic
729#397C22×C1111yescharacteristic
730#397C22×C1111yescharacteristic
731#397C22×C1111yescharacteristic
732#397C22×C1111yescharacteristic
733#397C22×C1111yescharacteristic
734#397C22×C1111yescharacteristic
735#397C22×C1111yescharacteristic, complemented
736#397C22×C1111yescharacteristic, complemented
737#397C22×C1111yescharacteristic, complemented
738#397C22×C1111yescharacteristic, complemented
739#396C22×C1111yescharacteristic
740#396C22×C1111yescharacteristic
741#396C22×C1111yescharacteristic, complemented
742#395C22×C1111yescharacteristic, complemented
743#395C22×C1111yescharacteristic, complemented
744#394C22×C1111yescharacteristic
745#394C22×C1111yescharacteristic
746#394C22×C1111yescharacteristic
747#394C22×C1111yescharacteristic
748#393C22×C1111yescharacteristic
749#393C22×C1111yescharacteristic, complemented
750#391C22×C1111yescharacteristic, complemented
751#390C22×C1111yescharacteristic
752#390C22×C1111yescharacteristic
753#389C22×C1111yescharacteristic, complemented
754#389C22×C1111yescharacteristic, complemented
755#389C22×C1111yescharacteristic, complemented
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, 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#386C22×C1111yescharacteristic
787#386C22×C1111yescharacteristic
788#386C22×C1111yescharacteristic
789#386C22×C1111yescharacteristic
790#386C22×C1111yescharacteristic
791#386C22×C1111yescharacteristic
792#386C22×C1111yescharacteristic
793#386C22×C1111yescharacteristic
794#386C22×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
804#385C22×C1111yescharacteristic
805#385C22×C1111yescharacteristic
806#385C22×C1111yescharacteristic
807#385C22×C1111yescharacteristic
808#385C22×C1111yescharacteristic
809#385C22×C1111yescharacteristic
810#385C22×C1111yescharacteristic
811#385C22×C1111yescharacteristic
812#385C22×C1111yescharacteristic
813#385C22×C1111yescharacteristic
814#385C22×C1111yescharacteristic, complemented
815#385C22×C1111yescharacteristic, complemented
816#383C22×C1111yescharacteristic, complemented
817#383C22×C1111yescharacteristic, complemented
818#382C22×C1111yescharacteristic, complemented
819#382C22×C1111yescharacteristic, complemented
820#381C22×C1111yescharacteristic
821#381C22×C1111yescharacteristic
822#381C22×C1111yescharacteristic
823#381C22×C1111yescharacteristic
824#381C22×C1111yescharacteristic
825#381C22×C1111yescharacteristic
826#381C22×C1111yescharacteristic, complemented
827#380C22×C1111yescharacteristic
828#380C22×C1111yescharacteristic
829#380C22×C1111yescharacteristic
830#380C22×C1111yescharacteristic
831#380C22×C1111yescharacteristic
832#380C22×C1111yescharacteristic
833#380C22×C1111yescharacteristic
834#380C22×C1111yescharacteristic
835#380C22×C1111yescharacteristic
836#380C22×C1111yescharacteristic
837#380C22×C1111yescharacteristic, complemented
838#379C22×C1111yescharacteristic
839C4×C22⋊C4C22×C1111yescharacteristic
840C2×#95C22×C1111yescharacteristic
841C2×#95C22×C1111yescharacteristic
842C22×C11—22no—
843C22×C11—22no—
844C22×C11—22no—
845C22×C11—22no—
846C22×C11—22no—
847C22×C11—22no—
848C22×C11—22no—
849C22×C11—22no—
850C22×C11—22no—
851C22×C11—22no—
852C22×C11—22no—
853C22×C11—22no—
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—41no—
867C22×C11—41no—
868C22×C11—41no—
869C22×C11—88no—
870C22×C11#53914yes—
871C22×C11C22×#4111yescharacteristic
872C22×C11C2×H(5,𝔽2)11yescharacteristic
873C22×C11C2×H(5,𝔽2)11yescharacteristic
874C22×C11C2×2−1+411yescharacteristic
875C22×C11#58511yescharacteristic
876C22×C11#58511yescharacteristic
877C22×C11#58511yescharacteristic
878C4×C11—22no—
879C4×C11—41no—
880C4×C11—41no—
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—
901C4×C11—41no—
902C4×C11—41no—
903C4×C11—41no—
904C4×C11—41no—
905C25C23×C1111yescharacteristic
906C22×Q8C23×C1111yescharacteristic
907C22×D4C23×C1111yescharacteristic
908C22×D4C23×C1111yescharacteristic
909C22×D4C23×C1111yescharacteristic
910C23×C4C23×C1111yescharacteristic
911C23×C4C23×C1111yescharacteristic
912C23×C4C23×C1111yescharacteristic
913C23×C4C23×C1111yescharacteristic
914C23×C4C23×C1111yescharacteristic
915C23×C4C23×C1111yescharacteristic
916C23×C4C23×C1111yescharacteristic
917C23×C4C23×C1111yescharacteristic
918C23×C4C23×C1111yescharacteristic
919C23×C4C23×C1111yescharacteristic
920C23×C4C23×C1111yescharacteristic
921#126—42no—
922#125—42no—
923#123—42no—
924#123—42no—
925C22⋊Q8—42no—
926C22⋊Q8—42no—
927#120—24no—
928C4×D4—42no—
929C2×C4⋊C4—42no—
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×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×C22⋊C4—24no—
967C2×C22⋊C4—24no—
968C2×C22⋊C4—42no—
969C2×C22⋊C4—42no—
970C2×C22⋊C4—42no—
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×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×C42—42no—
1012C2×C42C23×C1111yescharacteristic
1013C2×C42C23×C1111yescharacteristic
1014C2×C42C23×C1111yescharacteristic
1015C2×C42C23×C1111yescharacteristic
1016C2×C42C23×C1111yescharacteristic
1017C2×C42C23×C1111yescharacteristic
1018C2×C42C23×C1111yescharacteristic
1019#95C23×C1111yescharacteristic
1020#95C23×C1111yescharacteristic
1021#95C23×C1111yescharacteristic
1022#95C23×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
1071#95C23×C1111yescharacteristic
1072#95C23×C1111yescharacteristic
1073#95C23×C1111yescharacteristic
1074#95C23×C1111yescharacteristic
1075C2×C11—24no—
1076C2×C11—42no—
1077C2×C11—42no—
1078C2×C11—81no—
1079C2×C11C2×#53911yescharacteristic
1080C2×C11#349111yescharacteristic
1081C2×C11#350511yescharacteristic
1082C2×C11#353511yescharacteristic
1083C2×C11#354211yescharacteristic
1084C2×C11#354511yescharacteristic
1085C2×C11#356411yescharacteristic
1086C24—22no—
1087C24—22no—
1088C24—41no—
1089C24—41no—
1090C24—41no—
1091C24—41no—
1092C24C11×#4114yes—
1093C24C24×C1111yescharacteristic
1094C24C24×C1111yescharacteristic
1095C24C24×C1111yescharacteristic
1096C24C24×C1111yescharacteristic
1097C2×Q8—41no—
1098C2×Q8—41no—
1099C2×Q8—41no—
1100C2×D4—22no—
1101C2×D4—22no—
1102C2×D4—22no—
1103C2×D4—22no—
1104C2×D4—22no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
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
1153C22×C4C24×C1111yescharacteristic
1154C22×C4C24×C1111yescharacteristic
1155C22×C4C24×C1111yescharacteristic
1156C22×C4C24×C1111yescharacteristic
1157C22×C4C24×C1111yescharacteristic
1158C22×C4C24×C1111yescharacteristic
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
1169C4⋊C4—22no—
1170C4⋊C4—22no—
1171C4⋊C4—22no—
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—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
1212C22⋊C4—22no—
1213C22⋊C4—22no—
1214C22⋊C4—22no—
1215C22⋊C4—22no—
1216C22⋊C4—22no—
1217C22⋊C4—22no—
1218C22⋊C4—22no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C22⋊C4—41no—
1240C22⋊C4—41no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C42—22no—
1246C42—22no—
1247C42—41no—
1248C42—41no—
1249C42—41no—
1250C42—41no—
1251C42—41no—
1252C11#3678011yescharacteristic, direct product factor, Sylow
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—28no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—44no—
1278C23—44no—
1279C23—82no—
1280C23—82no—
1281C23—82no—
1282C23—82no—
1283C23C2×C11×#4112yes—
1284C23C2×C11×#4112yes—
1285C23C2×C11×#4112yes—
1286C23C11×H(5,𝔽2)12yes—
1287C23C11×2−1+412yes—
1288C23C25×C1111yescharacteristic
1289Q8—82no—
1290D4—44no—
1291D4—82no—
1292D4—82no—
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—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—44no—
1374C2×C4—44no—
1375C2×C4—44no—
1376C2×C4—44no—
1377C2×C4—82no—
1378C2×C4—82no—
1379C2×C4—82no—
1380C2×C4—82no—
1381C2×C4—82no—
1382C2×C4—82no—
1383C2×C4—82no—
1384C2×C4C11×H(5,𝔽2)12yes—
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—22no—
1389C22—22no—
1390C22—22no—
1391C22—22no—
1392C22—22no—
1393C22—22no—
1394C22—22no—
1395C22—22no—
1396C22—22no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—88no—
1413C22C11×#53914yes—
1414C22C22×C11×#4111yescharacteristic
1415C22C2×C11×H(5,𝔽2)11yescharacteristic
1416C22C2×C11×H(5,𝔽2)11yescharacteristic
1417C22C2×C11×2−1+411yescharacteristic
1418C22C11×#58511yescharacteristic
1419C22C11×#58511yescharacteristic
1420C22C11×#58511yescharacteristic
1421C4—22no—
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—
1440C4—41no—
1441C4—41no—
1442C4—41no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C2—24no—
1449C2—42no—
1450C2—42no—
1451C2—81no—
1452C2C2×C11×#53911yescharacteristic
1453C2C11×#349111yescharacteristic
1454C2C11×#350511yescharacteristic
1455C2C11×#353511yescharacteristic
1456C2C11×#354211yescharacteristic
1457C2C11×#354511yescharacteristic
1458C2C11×#356411yescharacteristic
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×#2852C2semidirect
2. C11×#2851C2semidirect
3. C11×#2786C2semidirect
4. C11×#2782C2semidirect
5. C11×#2770C2semidirect
6. C11×#2770C2semidirect
7. C11×#2747C2semidirect
8. C11×#2746C2semidirect
9. C11×#2745C2semidirect
10. C11×#2744C2semidirect
11. C11×#2744C2semidirect
12. C11×#2743C2semidirect
13. C11×#2738C2semidirect
14. C11×#2737C2semidirect
15. C11×#2723C2semidirect
16. C11×#2695C2semidirect
17. C11×#2694C2semidirect
18. C11×#2690C2semidirect
19. C11×#2627C2semidirect
20. C11×#2623C2semidirect
21. C11×#2505C2semidirect
22. C11×#2493C2semidirect
23. C11×#2483C2semidirect
24. C11×#2450C2semidirect
25. C11×#2437C2semidirect
26. C11×#2419C2semidirect
30. C11×#2315C2semidirect
31. C2×C11×#388C2semidirect
32. C2×C11×#126C22semidirect
33. C2×C11×#125C22semidirect
47. C11×#401C22semidirect
48. C11×#400C22semidirect
49. C11×#400C22semidirect
50. C11×#400C22semidirect
51. C11×#400C22semidirect
52. C11×#400C22semidirect
53. C11×#400C22semidirect
54. C11×#400C22semidirect
55. C11×#400C22semidirect
56. C11×#400C22semidirect
57. C11×#400C22semidirect
58. C11×#400C22semidirect
59. C11×#400C22semidirect
61. C11×#399C22semidirect
62. C11×#399C22semidirect
63. C11×#398C22semidirect
64. C11×#398C22semidirect
65. C11×#398C22semidirect
66. C11×#398C22semidirect
67. C11×#398C22semidirect
68. C11×#398C22semidirect
69. C11×#398C22semidirect
70. C11×#398C22semidirect
71. C11×#398C22semidirect
80. C11×#397C22semidirect
81. C11×#397C22semidirect
82. C11×#397C22semidirect
83. C11×#397C22semidirect
86. C11×#396C22semidirect
87. C11×#395C22semidirect
88. C11×#395C22semidirect
94. C11×#393C22semidirect
95. C11×#391C22semidirect
98. C11×#389C22semidirect
99. C11×#389C22semidirect
100. C11×#389C22semidirect
113. C11×#388C22semidirect
114. C11×#388C22semidirect
115. C11×#388C22semidirect
116. C11×#387C22semidirect
117. C11×#387C22semidirect
118. C11×#387C22semidirect
119. C11×#387C22semidirect
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
159. C11×#385C22semidirect
160. C11×#385C22semidirect
161. C11×#383C22semidirect
162. C11×#383C22semidirect
163. C11×#382C22semidirect
164. C11×#382C22semidirect
171. C11×#381C22semidirect
182. C11×#380C22semidirect
357. #36780C11direct (N × H)
524. #2852C2×C11semidirect
525. #2851C2×C11semidirect
526. #2786C2×C11semidirect
527. #2782C2×C11semidirect
528. #2770C2×C11semidirect
529. #2770C2×C11semidirect
530. #2747C2×C11semidirect
531. #2746C2×C11semidirect
532. #2745C2×C11semidirect
533. #2744C2×C11semidirect
534. #2744C2×C11semidirect
535. #2743C2×C11semidirect
536. #2738C2×C11semidirect
537. #2737C2×C11semidirect
538. #2723C2×C11semidirect
539. #2695C2×C11semidirect
540. #2694C2×C11semidirect
541. #2690C2×C11semidirect
542. #2627C2×C11semidirect
543. #2623C2×C11semidirect
544. #2505C2×C11semidirect
545. #2493C2×C11semidirect
546. #2483C2×C11semidirect
547. #2450C2×C11semidirect
548. #2437C2×C11semidirect
549. #2419C2×C11semidirect
553. #2315C2×C11semidirect
554. C2×#388C2×C11semidirect
687. C2×#126C22×C11semidirect
688. C2×#125C22×C11semidirect
702. #401C22×C11semidirect
703. #400C22×C11semidirect
704. #400C22×C11semidirect
705. #400C22×C11semidirect
706. #400C22×C11semidirect
707. #400C22×C11semidirect
708. #400C22×C11semidirect
709. #400C22×C11semidirect
710. #400C22×C11semidirect
711. #400C22×C11semidirect
712. #400C22×C11semidirect
713. #400C22×C11semidirect
714. #400C22×C11semidirect
716. #399C22×C11semidirect
717. #399C22×C11semidirect
718. #398C22×C11semidirect
719. #398C22×C11semidirect
720. #398C22×C11semidirect
721. #398C22×C11semidirect
722. #398C22×C11semidirect
723. #398C22×C11semidirect
724. #398C22×C11semidirect
725. #398C22×C11semidirect
726. #398C22×C11semidirect
735. #397C22×C11semidirect
736. #397C22×C11semidirect
737. #397C22×C11semidirect
738. #397C22×C11semidirect
741. #396C22×C11semidirect
742. #395C22×C11semidirect
743. #395C22×C11semidirect
749. #393C22×C11semidirect
750. #391C22×C11semidirect
753. #389C22×C11semidirect
754. #389C22×C11semidirect
755. #389C22×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
814. #385C22×C11semidirect
815. #385C22×C11semidirect
816. #383C22×C11semidirect
817. #383C22×C11semidirect
818. #382C22×C11semidirect
819. #382C22×C11semidirect
826. #381C22×C11semidirect
837. #380C22×C11semidirect
1252. C11#36780direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#28522
C11×#28512
C11×#27862
C11×#27822
C11×#27702
C11×#27472
C11×#27462
C11×#27452
C11×#27442
C11×#27432
C11×#27382
C11×#27372
C11×#27232
C11×#26952
C11×#26942
C11×#26902
C11×#26272
C11×#26232
C11×#25052
C11×#24932
C11×#24832
C11×#24502
C11×#24372
C11×#24192
C11×#24122
C11×#23212
C11×#23152
C2×C11×#3882
#3678011