Finite Group Databasebeta

← C11×#36796 #14613989

Subgroups — C11×#36796 #14613989

Order 2816.

1714 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×#2852C211yesmaximal, characteristic, complemented
2C11×#2851C211yesmaximal, characteristic, complemented
3C11×#2808C211yesmaximal, characteristic, complemented
4C11×#2798C211yesmaximal, characteristic, complemented
5C11×#2796C211yesmaximal, characteristic, complemented
6C11×#2795C211yesmaximal, characteristic, complemented
7C11×#2793C211yesmaximal, characteristic, complemented
8C11×#2785C211yesmaximal, characteristic, complemented
9C11×#2783C211yesmaximal, characteristic, complemented
10C11×#2783C211yesmaximal, characteristic, complemented
11C11×#2781C211yesmaximal, characteristic, complemented
12C11×#2777C211yesmaximal, characteristic, complemented
13C11×#2775C211yesmaximal, characteristic, complemented
14C11×#2773C211yesmaximal, characteristic, complemented
15C11×#2727C211yesmaximal, characteristic, complemented
16C11×#2721C211yesmaximal, characteristic, complemented
17C11×#2718C211yesmaximal, characteristic, complemented
18C11×#2694C211yesmaximal, characteristic, complemented
19C11×#2626C211yesmaximal, characteristic, complemented
20C11×#2622C211yesmaximal, characteristic
21C11×#2505C211yesmaximal, characteristic, complemented
22C11×#2498C211yesmaximal, characteristic, complemented
23C11×#2482C211yesmaximal, characteristic, complemented
24C11×#2480C211yesmaximal, characteristic, complemented
25C11×#2450C211yesmaximal, characteristic, complemented
26C11×#2438C211yesmaximal, characteristic, complemented
27C11×#2418C211yesmaximal, characteristic
28C11×#2411C211yesmaximal, characteristic
29C11×#2322C211yesmaximal, characteristic, complemented
30C11×#2317C211yesmaximal, characteristic, complemented
31C2×C11×#388C211yesmaximal, characteristic, complemented
32C2×C11×#126C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic, complemented
34C2×C11×#125C2211yescharacteristic, complemented
35C2×C11×#123C2211yescharacteristic
36C2×C11×#123C2211yescharacteristic
37C2×C11×C22⋊Q8C2211yescharacteristic
38C2×C11×#120C2211yescharacteristic
39C2×C4×D4×C11C2211yescharacteristic
40C2×C11×#117C2211yescharacteristic
41C2×C11×#117C2211yescharacteristic
42C22×C11×C4⋊C4C2211yescharacteristic
43C22×C11×C22⋊C4C2211yescharacteristic
44C22×C11×C22⋊C4C2211yescharacteristic
45C22×C11×C22⋊C4C2211yescharacteristic
46C22×C42×C11C2211yescharacteristic
47C11×#400C2211yescharacteristic, complemented
48C11×#400C2211yescharacteristic, complemented
49C11×#400C2211yescharacteristic, complemented
50C11×#400C2211yescharacteristic, complemented
51C11×#400C2211yescharacteristic, complemented
52C11×#400C2211yescharacteristic, complemented
53C11×#399C2211yescharacteristic
54C11×#399C2211yescharacteristic
55C11×#399C2211yescharacteristic
56C11×#399C2211yescharacteristic
57C11×#399C2211yescharacteristic
58C11×#399C2211yescharacteristic, complemented
59C11×#398C2211yescharacteristic, complemented
60C11×#398C2211yescharacteristic, complemented
61C11×#398C2211yescharacteristic, complemented
62C11×#398C2211yescharacteristic, complemented
63C11×#398C2211yescharacteristic, complemented
64C11×#397C2211yescharacteristic
65C11×#397C2211yescharacteristic
66C11×#397C2211yescharacteristic
67C11×#397C2211yescharacteristic
68C11×#397C2211yescharacteristic
69C11×#397C2211yescharacteristic
70C11×#397C2211yescharacteristic
71C11×#397C2211yescharacteristic
72C11×#397C2211yescharacteristic
73C11×#397C2211yescharacteristic
74C11×#397C2211yescharacteristic, complemented
75C11×#396C2211yescharacteristic
76C11×#396C2211yescharacteristic
77C11×#396C2211yescharacteristic
78C11×#396C2211yescharacteristic
79C11×#396C2211yescharacteristic
80C11×#396C2211yescharacteristic
81C11×#396C2211yescharacteristic
82C11×#396C2211yescharacteristic, complemented
83C11×#395C2211yescharacteristic, complemented
84C11×#394C2211yescharacteristic
85C11×#394C2211yescharacteristic
86C11×#394C2211yescharacteristic
87C11×#394C2211yescharacteristic
88C11×#394C2211yescharacteristic
89C11×#394C2211yescharacteristic
90C11×#394C2211yescharacteristic
91C11×#394C2211yescharacteristic
92C11×#393C2211yescharacteristic
93C11×#393C2211yescharacteristic
94C11×#393C2211yescharacteristic, complemented
95C11×#391C2211yescharacteristic, complemented
96C11×#391C2211yescharacteristic, complemented
97C11×#390C2211yescharacteristic
98C11×#390C2211yescharacteristic
99C11×#389C2211yescharacteristic, complemented
100C11×#389C2211yescharacteristic, complemented
101C11×#389C2211yescharacteristic, complemented
102C11×#389C2211yescharacteristic, complemented
103C11×#389C2211yescharacteristic, complemented
104C11×#389C2211yescharacteristic, complemented
105C11×#389C2211yescharacteristic, complemented
106C11×#389C2211yescharacteristic, complemented
107C11×#389C2211yescharacteristic, complemented
108C11×#389C2211yescharacteristic, complemented
109C11×#388C2211yescharacteristic
110C11×#388C2211yescharacteristic
111C11×#388C2211yescharacteristic
112C11×#388C2211yescharacteristic
113C11×#388C2211yescharacteristic
114C11×#388C2211yescharacteristic
115C11×#388C2211yescharacteristic
116C11×#388C2211yescharacteristic
117C11×#388C2211yescharacteristic
118C11×#388C2211yescharacteristic
119C11×#388C2211yescharacteristic
120C11×#388C2211yescharacteristic
121C11×#388C2211yescharacteristic
122C11×#388C2211yescharacteristic
123C11×#388C2211yescharacteristic
124C11×#388C2211yescharacteristic
125C11×#388C2211yescharacteristic
126C11×#388C2211yescharacteristic
127C11×#388C2211yescharacteristic
128C11×#388C2211yescharacteristic, complemented
129C11×#388C2211yescharacteristic, complemented
130C11×#388C2211yescharacteristic, complemented
131C11×#388C2211yescharacteristic, complemented
132C11×#388C2211yescharacteristic, complemented
133C11×#388C2211yescharacteristic, complemented
134C11×#388C2211yescharacteristic, complemented
135C11×#387C2211yescharacteristic, complemented
136C11×#387C2211yescharacteristic, complemented
137C11×#387C2211yescharacteristic, complemented
138C11×#387C2211yescharacteristic, complemented
139C11×#387C2211yescharacteristic, complemented
140C11×#387C2211yescharacteristic, complemented
141C11×#387C2211yescharacteristic, complemented
142C11×#387C2211yescharacteristic, complemented
143C11×#387C2211yescharacteristic, complemented
144C11×#387C2211yescharacteristic, complemented
145C11×#387C2211yescharacteristic, complemented
146C11×#387C2211yescharacteristic, complemented
147C11×#387C2211yescharacteristic, complemented
148C11×#387C2211yescharacteristic, complemented
149C11×#387C2211yescharacteristic, complemented
150C11×#387C2211yescharacteristic, complemented
151C11×#386C2211yescharacteristic
152C11×#386C2211yescharacteristic
153C11×#386C2211yescharacteristic
154C11×#386C2211yescharacteristic
155C11×#386C2211yescharacteristic
156C11×#385C2211yescharacteristic
157C11×#385C2211yescharacteristic
158C11×#385C2211yescharacteristic
159C11×#385C2211yescharacteristic
160C11×#385C2211yescharacteristic
161C11×#385C2211yescharacteristic
162C11×#385C2211yescharacteristic
163C11×#385C2211yescharacteristic
164C11×#385C2211yescharacteristic
165C11×#385C2211yescharacteristic
166C11×#385C2211yescharacteristic, complemented
167C11×#385C2211yescharacteristic, complemented
168C11×#385C2211yescharacteristic, complemented
169C11×#384C2211yescharacteristic, complemented
170C11×#384C2211yescharacteristic, complemented
171C11×#383C2211yescharacteristic, complemented
172C11×#382C2211yescharacteristic, complemented
173C11×#382C2211yescharacteristic, complemented
174C11×#382C2211yescharacteristic, complemented
175C11×#382C2211yescharacteristic, complemented
176C11×#381C2211yescharacteristic
177C11×#380C2211yescharacteristic
178C11×#380C2211yescharacteristic
179C11×#380C2211yescharacteristic
180C11×#380C2211yescharacteristic, complemented
181C11×#379C2211yescharacteristic
182C11×#379C2211yescharacteristic
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
199C11×#126—42no—
200C11×#126—42no—
201C11×#125—42no—
202C11×#123—24no—
203C11×#123—42no—
204C11×C22⋊Q8—42no—
205C11×#120—42no—
206C4×D4×C11—42no—
207C11×#117—24no—
208C11×#117—42no—
209C2×C11×C4⋊C4—42no—
210C2×C11×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊C4C2311yescharacteristic
248C2×C11×C4⋊C4C2311yescharacteristic
249C2×C11×C4⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4—24no—
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×C11×C22⋊C4C2311yescharacteristic
294C2×C11×C22⋊C4C2311yescharacteristic
295C2×C11×C22⋊C4C2311yescharacteristic
296C2×C11×C22⋊C4C2311yescharacteristic
297C2×C42×C11—42no—
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#36796C1111yesmaximal, 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—41no—
370C2×Q8×C11—41no—
371C2×Q8×C11—41no—
372C2×D4×C11—22no—
373C2×D4×C11—22no—
374C2×D4×C11—22no—
375C2×D4×C11—41no—
376C2×D4×C11—41no—
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—41no—
390C22×C4×C11—41no—
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#4114yes—
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—41no—
437C11×C4⋊C4—41no—
438C11×C4⋊C4—41no—
439C11×C4⋊C4—41no—
440C11×C4⋊C4—41no—
441C11×C4⋊C4—41no—
442C11×C4⋊C4—41no—
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×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×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—22no—
482C11×C22⋊C4—22no—
483C11×C22⋊C4—22no—
484C11×C22⋊C4—22no—
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—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—
513C42×C11—22no—
514C42×C11—22no—
515C42×C11—22no—
516C42×C11—22no—
517C42×C11—41no—
518C42×C11—41no—
519C42×C11—41no—
520C42×C11—41no—
521C42×C11—41no—
522C42×C11—41no—
523C42×C11—41no—
524#2852C2×C1111yescharacteristic, complemented
525#2851C2×C1111yescharacteristic, complemented
526#2808C2×C1111yescharacteristic, complemented
527#2798C2×C1111yescharacteristic, complemented
528#2796C2×C1111yescharacteristic, complemented
529#2795C2×C1111yescharacteristic, complemented
530#2793C2×C1111yescharacteristic, complemented
531#2785C2×C1111yescharacteristic, complemented
532#2783C2×C1111yescharacteristic, complemented
533#2783C2×C1111yescharacteristic, complemented
534#2781C2×C1111yescharacteristic, complemented
535#2777C2×C1111yescharacteristic, complemented
536#2775C2×C1111yescharacteristic, complemented
537#2773C2×C1111yescharacteristic, complemented
538#2727C2×C1111yescharacteristic, complemented
539#2721C2×C1111yescharacteristic, complemented
540#2718C2×C1111yescharacteristic, complemented
541#2694C2×C1111yescharacteristic, complemented
542#2626C2×C1111yescharacteristic, complemented
543#2622C2×C1111yescharacteristic
544#2505C2×C1111yescharacteristic, complemented
545#2498C2×C1111yescharacteristic, complemented
546#2482C2×C1111yescharacteristic, complemented
547#2480C2×C1111yescharacteristic, complemented
548#2450C2×C1111yescharacteristic, complemented
549#2438C2×C1111yescharacteristic, complemented
550#2418C2×C1111yescharacteristic
551#2411C2×C1111yescharacteristic
552#2322C2×C1111yescharacteristic, complemented
553#2317C2×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—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×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—28no—
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—44no—
675C2×C4×C11—44no—
676C2×C4×C11—44no—
677C2×C4×C11—82no—
678C2×C4×C11—82no—
679C2×C4×C11—82no—
680C2×C4×C11C2×#4112yes—
681C2×C4×C11C2×#4112yes—
682C2×C4×C11H(5,𝔽2)12yes—
683C2×#126C22×C1111yescharacteristic
684C2×#126C22×C1111yescharacteristic, complemented
685C2×#125C22×C1111yescharacteristic, complemented
686C2×#123C22×C1111yescharacteristic
687C2×#123C22×C1111yescharacteristic
688C2×C22⋊Q8C22×C1111yescharacteristic
689C2×#120C22×C1111yescharacteristic
690C2×C4×D4C22×C1111yescharacteristic
691C2×#117C22×C1111yescharacteristic
692C2×#117C22×C1111yescharacteristic
693C22×C4⋊C4C22×C1111yescharacteristic
694C22×C22⋊C4C22×C1111yescharacteristic
695C22×C22⋊C4C22×C1111yescharacteristic
696C22×C22⋊C4C22×C1111yescharacteristic
697C22×C42C22×C1111yescharacteristic
698#400C22×C1111yescharacteristic, complemented
699#400C22×C1111yescharacteristic, complemented
700#400C22×C1111yescharacteristic, complemented
701#400C22×C1111yescharacteristic, complemented
702#400C22×C1111yescharacteristic, complemented
703#400C22×C1111yescharacteristic, complemented
704#399C22×C1111yescharacteristic
705#399C22×C1111yescharacteristic
706#399C22×C1111yescharacteristic
707#399C22×C1111yescharacteristic
708#399C22×C1111yescharacteristic
709#399C22×C1111yescharacteristic, complemented
710#398C22×C1111yescharacteristic, complemented
711#398C22×C1111yescharacteristic, complemented
712#398C22×C1111yescharacteristic, complemented
713#398C22×C1111yescharacteristic, complemented
714#398C22×C1111yescharacteristic, complemented
715#397C22×C1111yescharacteristic
716#397C22×C1111yescharacteristic
717#397C22×C1111yescharacteristic
718#397C22×C1111yescharacteristic
719#397C22×C1111yescharacteristic
720#397C22×C1111yescharacteristic
721#397C22×C1111yescharacteristic
722#397C22×C1111yescharacteristic
723#397C22×C1111yescharacteristic
724#397C22×C1111yescharacteristic
725#397C22×C1111yescharacteristic, complemented
726#396C22×C1111yescharacteristic
727#396C22×C1111yescharacteristic
728#396C22×C1111yescharacteristic
729#396C22×C1111yescharacteristic
730#396C22×C1111yescharacteristic
731#396C22×C1111yescharacteristic
732#396C22×C1111yescharacteristic
733#396C22×C1111yescharacteristic, complemented
734#395C22×C1111yescharacteristic, complemented
735#394C22×C1111yescharacteristic
736#394C22×C1111yescharacteristic
737#394C22×C1111yescharacteristic
738#394C22×C1111yescharacteristic
739#394C22×C1111yescharacteristic
740#394C22×C1111yescharacteristic
741#394C22×C1111yescharacteristic
742#394C22×C1111yescharacteristic
743#393C22×C1111yescharacteristic
744#393C22×C1111yescharacteristic
745#393C22×C1111yescharacteristic, complemented
746#391C22×C1111yescharacteristic, complemented
747#391C22×C1111yescharacteristic, complemented
748#390C22×C1111yescharacteristic
749#390C22×C1111yescharacteristic
750#389C22×C1111yescharacteristic, complemented
751#389C22×C1111yescharacteristic, complemented
752#389C22×C1111yescharacteristic, complemented
753#389C22×C1111yescharacteristic, complemented
754#389C22×C1111yescharacteristic, complemented
755#389C22×C1111yescharacteristic, complemented
756#389C22×C1111yescharacteristic, complemented
757#389C22×C1111yescharacteristic, complemented
758#389C22×C1111yescharacteristic, complemented
759#389C22×C1111yescharacteristic, complemented
760#388C22×C1111yescharacteristic
761#388C22×C1111yescharacteristic
762#388C22×C1111yescharacteristic
763#388C22×C1111yescharacteristic
764#388C22×C1111yescharacteristic
765#388C22×C1111yescharacteristic
766#388C22×C1111yescharacteristic
767#388C22×C1111yescharacteristic
768#388C22×C1111yescharacteristic
769#388C22×C1111yescharacteristic
770#388C22×C1111yescharacteristic
771#388C22×C1111yescharacteristic
772#388C22×C1111yescharacteristic
773#388C22×C1111yescharacteristic
774#388C22×C1111yescharacteristic
775#388C22×C1111yescharacteristic
776#388C22×C1111yescharacteristic
777#388C22×C1111yescharacteristic
778#388C22×C1111yescharacteristic
779#388C22×C1111yescharacteristic, complemented
780#388C22×C1111yescharacteristic, complemented
781#388C22×C1111yescharacteristic, complemented
782#388C22×C1111yescharacteristic, complemented
783#388C22×C1111yescharacteristic, complemented
784#388C22×C1111yescharacteristic, complemented
785#388C22×C1111yescharacteristic, complemented
786#387C22×C1111yescharacteristic, complemented
787#387C22×C1111yescharacteristic, complemented
788#387C22×C1111yescharacteristic, complemented
789#387C22×C1111yescharacteristic, complemented
790#387C22×C1111yescharacteristic, complemented
791#387C22×C1111yescharacteristic, complemented
792#387C22×C1111yescharacteristic, complemented
793#387C22×C1111yescharacteristic, complemented
794#387C22×C1111yescharacteristic, complemented
795#387C22×C1111yescharacteristic, complemented
796#387C22×C1111yescharacteristic, complemented
797#387C22×C1111yescharacteristic, complemented
798#387C22×C1111yescharacteristic, complemented
799#387C22×C1111yescharacteristic, complemented
800#387C22×C1111yescharacteristic, complemented
801#387C22×C1111yescharacteristic, complemented
802#386C22×C1111yescharacteristic
803#386C22×C1111yescharacteristic
804#386C22×C1111yescharacteristic
805#386C22×C1111yescharacteristic
806#386C22×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
815#385C22×C1111yescharacteristic
816#385C22×C1111yescharacteristic
817#385C22×C1111yescharacteristic, complemented
818#385C22×C1111yescharacteristic, complemented
819#385C22×C1111yescharacteristic, complemented
820#384C22×C1111yescharacteristic, complemented
821#384C22×C1111yescharacteristic, complemented
822#383C22×C1111yescharacteristic, complemented
823#382C22×C1111yescharacteristic, complemented
824#382C22×C1111yescharacteristic, complemented
825#382C22×C1111yescharacteristic, complemented
826#382C22×C1111yescharacteristic, complemented
827#381C22×C1111yescharacteristic
828#380C22×C1111yescharacteristic
829#380C22×C1111yescharacteristic
830#380C22×C1111yescharacteristic
831#380C22×C1111yescharacteristic, complemented
832#379C22×C1111yescharacteristic
833#379C22×C1111yescharacteristic
834#379C22×C1111yescharacteristic
835C4×C22⋊C4C22×C1111yescharacteristic
836C2×#95C22×C1111yescharacteristic
837C2×#95C22×C1111yescharacteristic
838C22×C11—22no—
839C22×C11—22no—
840C22×C11—22no—
841C22×C11—22no—
842C22×C11—22no—
843C22×C11—22no—
844C22×C11—41no—
845C22×C11—41no—
846C22×C11—41no—
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—88no—
866C22×C11#53914yes—
867C22×C11C22×#4111yescharacteristic
868C22×C11C2×H(5,𝔽2)11yescharacteristic
869C22×C11C2×H(5,𝔽2)11yescharacteristic
870C22×C11C2×2−1+411yescharacteristic
871C22×C11#58511yescharacteristic
872C22×C11#58511yescharacteristic
873C22×C11#58511yescharacteristic
874C4×C11—22no—
875C4×C11—22no—
876C4×C11—22no—
877C4×C11—41no—
878C4×C11—41no—
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—
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—42no—
914#126—42no—
915#125—42no—
916#123—24no—
917#123—42no—
918C22⋊Q8—42no—
919#120—42no—
920C4×D4—42no—
921#117—24no—
922#117—42no—
923C2×C4⋊C4—42no—
924C2×C4⋊C4C23×C1111yescharacteristic
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×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×C22⋊C4—24no—
965C2×C22⋊C4—42no—
966C2×C22⋊C4—42no—
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×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
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—24no—
1072C2×C11—81no—
1073C2×C11—81no—
1074C2×C11—81no—
1075C2×C11C2×#53911yescharacteristic
1076C2×C11#349311yescharacteristic
1077C2×C11#350611yescharacteristic
1078C2×C11#353511yescharacteristic
1079C2×C11#354211yescharacteristic
1080C2×C11#354511yescharacteristic
1081C2×C11#356411yescharacteristic
1082C24—22no—
1083C24—22no—
1084C24—22no—
1085C24—41no—
1086C24—41no—
1087C24—41no—
1088C24—41no—
1089C24C24×C1111yescharacteristic
1090C24C24×C1111yescharacteristic
1091C24C24×C1111yescharacteristic
1092C24C24×C1111yescharacteristic
1093C2×Q8—41no—
1094C2×Q8—41no—
1095C2×Q8—41no—
1096C2×D4—22no—
1097C2×D4—22no—
1098C2×D4—22no—
1099C2×D4—41no—
1100C2×D4—41no—
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—41no—
1114C22×C4—41no—
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×C4C11×#4114yes—
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—41no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
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—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
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—22no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
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⋊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—
1237C42—22no—
1238C42—22no—
1239C42—22no—
1240C42—22no—
1241C42—41no—
1242C42—41no—
1243C42—41no—
1244C42—41no—
1245C42—41no—
1246C42—41no—
1247C42—41no—
1248C11#3679611yescharacteristic, 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—
1282C23C11×H(5,𝔽2)12yes—
1283C23C11×2−1+412yes—
1284C23C25×C1111yescharacteristic
1285Q8—82no—
1286D4—44no—
1287D4—82no—
1288D4—82no—
1289C2×C4—28no—
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—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—44no—
1369C2×C4—44no—
1370C2×C4—44no—
1371C2×C4—82no—
1372C2×C4—82no—
1373C2×C4—82no—
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—41no—
1384C22—41no—
1385C22—41no—
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—88no—
1405C22C11×#53914yes—
1406C22C22×C11×#4111yescharacteristic
1407C22C2×C11×H(5,𝔽2)11yescharacteristic
1408C22C2×C11×H(5,𝔽2)11yescharacteristic
1409C22C2×C11×2−1+411yescharacteristic
1410C22C11×#58511yescharacteristic
1411C22C11×#58511yescharacteristic
1412C22C11×#58511yescharacteristic
1413C4—22no—
1414C4—22no—
1415C4—22no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
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—24no—
1441C2—81no—
1442C2—81no—
1443C2—81no—
1444C2C2×C11×#53911yescharacteristic
1445C2C11×#349311yescharacteristic
1446C2C11×#350611yescharacteristic
1447C2C11×#353511yescharacteristic
1448C2C11×#354211yescharacteristic
1449C2C11×#354511yescharacteristic
1450C2C11×#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×#2808C2semidirect
4. C11×#2798C2semidirect
5. C11×#2796C2semidirect
6. C11×#2795C2semidirect
7. C11×#2793C2semidirect
8. C11×#2785C2semidirect
9. C11×#2783C2semidirect
10. C11×#2783C2semidirect
11. C11×#2781C2semidirect
12. C11×#2777C2semidirect
13. C11×#2775C2semidirect
14. C11×#2773C2semidirect
15. C11×#2727C2semidirect
16. C11×#2721C2semidirect
17. C11×#2718C2semidirect
18. C11×#2694C2semidirect
19. C11×#2626C2semidirect
21. C11×#2505C2semidirect
22. C11×#2498C2semidirect
23. C11×#2482C2semidirect
24. C11×#2480C2semidirect
25. C11×#2450C2semidirect
26. C11×#2438C2semidirect
29. C11×#2322C2semidirect
30. C11×#2317C2semidirect
31. C2×C11×#388C2semidirect
33. C2×C11×#126C22semidirect
34. C2×C11×#125C22semidirect
47. C11×#400C22semidirect
48. C11×#400C22semidirect
49. C11×#400C22semidirect
50. C11×#400C22semidirect
51. C11×#400C22semidirect
52. C11×#400C22semidirect
58. C11×#399C22semidirect
59. C11×#398C22semidirect
60. C11×#398C22semidirect
61. C11×#398C22semidirect
62. C11×#398C22semidirect
63. C11×#398C22semidirect
74. C11×#397C22semidirect
82. C11×#396C22semidirect
83. C11×#395C22semidirect
94. C11×#393C22semidirect
95. C11×#391C22semidirect
96. C11×#391C22semidirect
99. C11×#389C22semidirect
100. C11×#389C22semidirect
101. C11×#389C22semidirect
102. C11×#389C22semidirect
103. C11×#389C22semidirect
104. C11×#389C22semidirect
105. C11×#389C22semidirect
106. C11×#389C22semidirect
107. C11×#389C22semidirect
108. C11×#389C22semidirect
128. C11×#388C22semidirect
129. C11×#388C22semidirect
130. C11×#388C22semidirect
131. C11×#388C22semidirect
132. C11×#388C22semidirect
133. C11×#388C22semidirect
134. C11×#388C22semidirect
135. C11×#387C22semidirect
136. C11×#387C22semidirect
137. C11×#387C22semidirect
138. C11×#387C22semidirect
139. C11×#387C22semidirect
140. C11×#387C22semidirect
141. C11×#387C22semidirect
142. C11×#387C22semidirect
143. C11×#387C22semidirect
144. C11×#387C22semidirect
145. C11×#387C22semidirect
146. C11×#387C22semidirect
147. C11×#387C22semidirect
148. C11×#387C22semidirect
149. C11×#387C22semidirect
150. C11×#387C22semidirect
166. C11×#385C22semidirect
167. C11×#385C22semidirect
168. C11×#385C22semidirect
169. C11×#384C22semidirect
170. C11×#384C22semidirect
171. C11×#383C22semidirect
172. C11×#382C22semidirect
173. C11×#382C22semidirect
174. C11×#382C22semidirect
175. C11×#382C22semidirect
180. C11×#380C22semidirect
357. #36796C11direct (N × H)
524. #2852C2×C11semidirect
525. #2851C2×C11semidirect
526. #2808C2×C11semidirect
527. #2798C2×C11semidirect
528. #2796C2×C11semidirect
529. #2795C2×C11semidirect
530. #2793C2×C11semidirect
531. #2785C2×C11semidirect
532. #2783C2×C11semidirect
533. #2783C2×C11semidirect
534. #2781C2×C11semidirect
535. #2777C2×C11semidirect
536. #2775C2×C11semidirect
537. #2773C2×C11semidirect
538. #2727C2×C11semidirect
539. #2721C2×C11semidirect
540. #2718C2×C11semidirect
541. #2694C2×C11semidirect
542. #2626C2×C11semidirect
544. #2505C2×C11semidirect
545. #2498C2×C11semidirect
546. #2482C2×C11semidirect
547. #2480C2×C11semidirect
548. #2450C2×C11semidirect
549. #2438C2×C11semidirect
552. #2322C2×C11semidirect
553. #2317C2×C11semidirect
554. C2×#388C2×C11semidirect
684. C2×#126C22×C11semidirect
685. C2×#125C22×C11semidirect
698. #400C22×C11semidirect
699. #400C22×C11semidirect
700. #400C22×C11semidirect
701. #400C22×C11semidirect
702. #400C22×C11semidirect
703. #400C22×C11semidirect
709. #399C22×C11semidirect
710. #398C22×C11semidirect
711. #398C22×C11semidirect
712. #398C22×C11semidirect
713. #398C22×C11semidirect
714. #398C22×C11semidirect
725. #397C22×C11semidirect
733. #396C22×C11semidirect
734. #395C22×C11semidirect
745. #393C22×C11semidirect
746. #391C22×C11semidirect
747. #391C22×C11semidirect
750. #389C22×C11semidirect
751. #389C22×C11semidirect
752. #389C22×C11semidirect
753. #389C22×C11semidirect
754. #389C22×C11semidirect
755. #389C22×C11semidirect
756. #389C22×C11semidirect
757. #389C22×C11semidirect
758. #389C22×C11semidirect
759. #389C22×C11semidirect
779. #388C22×C11semidirect
780. #388C22×C11semidirect
781. #388C22×C11semidirect
782. #388C22×C11semidirect
783. #388C22×C11semidirect
784. #388C22×C11semidirect
785. #388C22×C11semidirect
786. #387C22×C11semidirect
787. #387C22×C11semidirect
788. #387C22×C11semidirect
789. #387C22×C11semidirect
790. #387C22×C11semidirect
791. #387C22×C11semidirect
792. #387C22×C11semidirect
793. #387C22×C11semidirect
794. #387C22×C11semidirect
795. #387C22×C11semidirect
796. #387C22×C11semidirect
797. #387C22×C11semidirect
798. #387C22×C11semidirect
799. #387C22×C11semidirect
800. #387C22×C11semidirect
801. #387C22×C11semidirect
817. #385C22×C11semidirect
818. #385C22×C11semidirect
819. #385C22×C11semidirect
820. #384C22×C11semidirect
821. #384C22×C11semidirect
822. #383C22×C11semidirect
823. #382C22×C11semidirect
824. #382C22×C11semidirect
825. #382C22×C11semidirect
826. #382C22×C11semidirect
831. #380C22×C11semidirect
1248. C11#36796direct (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×#28082
C11×#27982
C11×#27962
C11×#27952
C11×#27932
C11×#27852
C11×#27832
C11×#27812
C11×#27772
C11×#27752
C11×#27732
C11×#27272
C11×#27212
C11×#27182
C11×#26942
C11×#26262
C11×#26222
C11×#25052
C11×#24982
C11×#24822
C11×#24802
C11×#24502
C11×#24382
C11×#24182
C11×#24112
C11×#23222
C11×#23172
C2×C11×#3882
#3679611