Finite Group Databasebeta

← C11×#59942 #14637135

Subgroups — C11×#59942 #14637135

Order 2816.

2076 conjugacy classes of subgroups.

The subgroup lattice has 1548 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2796C211yesmaximal, characteristic, complemented
2C11×#2786C211yesmaximal, characteristic, complemented
3C11×#2747C211yesmaximal, characteristic, complemented
4C11×#2735C211yesmaximal, characteristic, complemented
5C11×#2601C211yesmaximal, characteristic, complemented
6C11×#2597C211yesmaximal, characteristic, complemented
7C11×#2579C211yesmaximal, characteristic, complemented
8C11×#2531C211yesmaximal, characteristic, complemented
9C11×#2530C211yesmaximal, characteristic, complemented
10C11×#2526C211yesmaximal, characteristic, complemented
11C11×#2522C211yesmaximal, characteristic, complemented
12C11×#2516C211yesmaximal, characteristic, complemented
13C11×#2487C211yesmaximal, characteristic, complemented
14C11×#2482C211yesmaximal, characteristic, complemented
15C11×#2482C211yesmaximal, characteristic, complemented
16C11×#2480C211yesmaximal, characteristic, complemented
17C11×#2480C211yesmaximal, characteristic, complemented
18C11×#2480C211yesmaximal, characteristic, complemented
19C11×#2479C211yesmaximal, characteristic, complemented
20C11×#2419C211yesmaximal, characteristic, complemented
21C11×#2419C211yesmaximal, characteristic, complemented
22C11×#2405C211yesmaximal, characteristic
23C11×#2373C211yesmaximal, characteristic, complemented
24C11×#2359C211yesmaximal, characteristic, complemented
25C11×#2359C211yesmaximal, characteristic, complemented
26C11×#2342C211yesmaximal, characteristic, complemented
27D4×C11×C22⋊C4C211yesmaximal, characteristic
28D4×C11×C22⋊C4C211yesmaximal, characteristic
29C11×#2290C211yesmaximal, characteristic, complemented
30C11×#2290C211yesmaximal, characteristic, complemented
31C2×C11×#388C211yesmaximal, characteristic, complemented
32C23×D4×C11C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic
34C2×C11×#126C2211yescharacteristic, complemented
35C2×C11×#123C2211yescharacteristic
36C2×C11×#123C2211yescharacteristic
37C2×C4×D4×C11C2211yescharacteristic
38C2×C4×D4×C11C2211yescharacteristic
39C2×C4×D4×C11C2211yescharacteristic
40C2×C4×D4×C11C2211yescharacteristic
41C2×C11×#117C2211yescharacteristic, complemented
42C2×C11×#117C2211yescharacteristic, complemented
43C2×C11×#117C2211yescharacteristic, complemented
44C22×C11×C4⋊C4C2211yescharacteristic, complemented
45C22×C11×C22⋊C4C2211yescharacteristic
46C22×C11×C22⋊C4C2211yescharacteristic
47C22×C11×C22⋊C4C2211yescharacteristic
48C22×C11×C22⋊C4C2211yescharacteristic
49C22×C11×C22⋊C4C2211yescharacteristic
50C22×C42×C11C2211yescharacteristic, complemented
51C11×#400C2211yescharacteristic, complemented
52C11×#400C2211yescharacteristic, complemented
53C11×#400C2211yescharacteristic, complemented
54C11×#400C2211yescharacteristic, complemented
55C11×#399C2211yescharacteristic
56C11×#399C2211yescharacteristic, complemented
57C11×#399C2211yescharacteristic, complemented
58C11×#399C2211yescharacteristic, complemented
59C11×#398C2211yescharacteristic, complemented
60C11×#398C2211yescharacteristic, complemented
61C11×#398C2211yescharacteristic, complemented
62C11×#398C2211yescharacteristic, complemented
63C11×#397C2211yescharacteristic
64C11×#397C2211yescharacteristic
65C11×#397C2211yescharacteristic
66C11×#397C2211yescharacteristic
67C11×#397C2211yescharacteristic, complemented
68C11×#397C2211yescharacteristic, complemented
69C11×#397C2211yescharacteristic, complemented
70C11×#397C2211yescharacteristic, complemented
71C11×#397C2211yescharacteristic, complemented
72C11×#397C2211yescharacteristic, complemented
73C11×#397C2211yescharacteristic, complemented
74C11×#397C2211yescharacteristic, complemented
75C11×#396C2211yescharacteristic
76C11×#396C2211yescharacteristic, complemented
77C11×#396C2211yescharacteristic, complemented
78C11×#396C2211yescharacteristic, complemented
79C11×#394C2211yescharacteristic
80C11×#394C2211yescharacteristic
81C11×#394C2211yescharacteristic
82C11×#394C2211yescharacteristic
83C11×#390C2211yescharacteristic
84C11×#390C2211yescharacteristic
85C11×#390C2211yescharacteristic
86C11×#390C2211yescharacteristic
87C11×#389C2211yescharacteristic, complemented
88C11×#389C2211yescharacteristic, complemented
89C11×#389C2211yescharacteristic, complemented
90C11×#389C2211yescharacteristic, complemented
91C11×#388C2211yescharacteristic
92C11×#388C2211yescharacteristic
93C11×#388C2211yescharacteristic
94C11×#388C2211yescharacteristic
95C11×#388C2211yescharacteristic
96C11×#388C2211yescharacteristic
97C11×#388C2211yescharacteristic
98C11×#388C2211yescharacteristic
99C11×#388C2211yescharacteristic
100C11×#388C2211yescharacteristic, complemented
101C11×#388C2211yescharacteristic, complemented
102C11×#388C2211yescharacteristic, complemented
103C11×#388C2211yescharacteristic, complemented
104C11×#388C2211yescharacteristic, complemented
105C11×#388C2211yescharacteristic, complemented
106C11×#388C2211yescharacteristic, complemented
107C11×#388C2211yescharacteristic, complemented
108C11×#388C2211yescharacteristic, complemented
109C11×#388C2211yescharacteristic, complemented
110C11×#388C2211yescharacteristic, complemented
111C11×#388C2211yescharacteristic, complemented
112C11×#388C2211yescharacteristic, complemented
113C11×#388C2211yescharacteristic, complemented
114C11×#388C2211yescharacteristic, complemented
115C11×#388C2211yescharacteristic, complemented
116C11×#388C2211yescharacteristic, 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×#386C2211yescharacteristic
141C11×#385C2211yescharacteristic
142C11×#385C2211yescharacteristic
143C11×#385C2211yescharacteristic, complemented
144C11×#385C2211yescharacteristic, complemented
145C11×#385C2211yescharacteristic, complemented
146C11×#385C2211yescharacteristic, complemented
147C11×#385C2211yescharacteristic, complemented
148C11×#385C2211yescharacteristic, complemented
149C11×#385C2211yescharacteristic, complemented
150C11×#385C2211yescharacteristic, complemented
151C11×#385C2211yescharacteristic, complemented
152C11×#385C2211yescharacteristic, complemented
153C11×#385C2211yescharacteristic, complemented
154C11×#385C2211yescharacteristic, complemented
155C11×#381C2211yescharacteristic, complemented
156C11×#381C2211yescharacteristic, complemented
157C11×#381C2211yescharacteristic, complemented
158C11×#380C2211yescharacteristic
159C11×#380C2211yescharacteristic
160C11×#380C2211yescharacteristic, complemented
161C11×#380C2211yescharacteristic, complemented
162C11×#380C2211yescharacteristic, complemented
163C11×#380C2211yescharacteristic, complemented
164C11×#379C2211yescharacteristic
165C11×#379C2211yescharacteristic
166C11×#379C2211yescharacteristic
167C11×#379C2211yescharacteristic
168C11×#379C2211yescharacteristic
169C11×#379C2211yescharacteristic
170C11×#379C2211yescharacteristic
171C4×C11×C4⋊C4C2211yescharacteristic, complemented
172C4×C11×C4⋊C4C2211yescharacteristic, complemented
173C4×C11×C4⋊C4C2211yescharacteristic, complemented
174C4×C11×C4⋊C4C2211yescharacteristic, complemented
175C4×C11×C22⋊C4C2211yescharacteristic
176C4×C11×C22⋊C4C2211yescharacteristic
177C4×C11×C22⋊C4C2211yescharacteristic, complemented
178C4×C11×C22⋊C4C2211yescharacteristic, complemented
179C4×C11×C22⋊C4C2211yescharacteristic, complemented
180C4×C11×C22⋊C4C2211yescharacteristic, complemented
181C4×C11×C22⋊C4C2211yescharacteristic, complemented
182C4×C11×C22⋊C4C2211yescharacteristic, complemented
183C11×#376C2211yescharacteristic, complemented
184C11×#376C2211yescharacteristic, complemented
185C2×C11×#95C2211yescharacteristic, complemented
186C2×C11×#95C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C25×C11C2311yescharacteristic
189C22×D4×C11—24no—
190C22×D4×C11—24no—
191C22×D4×C11—42no—
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C23×C4×C11C2311yescharacteristic
204C23×C4×C11C2311yescharacteristic
205C23×C4×C11C2311yescharacteristic
206C23×C4×C11C2311yescharacteristic
207C11×#126—24no—
208C11×#126—42no—
209C11×#123—24no—
210C11×#123—24no—
211C4×D4×C11—24no—
212C4×D4×C11—24no—
213C4×D4×C11—42no—
214C4×D4×C11—42no—
215C11×#117—42no—
216C11×#117—42no—
217C11×#117—42no—
218C2×C11×C4⋊C4—42no—
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×C22⋊C4—24no—
250C2×C11×C22⋊C4—24no—
251C2×C11×C22⋊C4—42no—
252C2×C11×C22⋊C4—42no—
253C2×C11×C22⋊C4—42no—
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×C11×C22⋊C4C2311yescharacteristic
298C2×C11×C22⋊C4C2311yescharacteristic
299C2×C11×C22⋊C4C2311yescharacteristic
300C2×C11×C22⋊C4C2311yescharacteristic
301C2×C11×C22⋊C4C2311yescharacteristic
302C2×C11×C22⋊C4C2311yescharacteristic
303C2×C11×C22⋊C4C2311yescharacteristic
304C2×C42×C11—42no—
305C2×C42×C11C2311yescharacteristic
306C2×C42×C11C2311yescharacteristic
307C2×C42×C11C2311yescharacteristic
308C2×C42×C11C2311yescharacteristic
309C2×C42×C11C2311yescharacteristic
310C2×C42×C11C2311yescharacteristic
311C2×C42×C11C2311yescharacteristic
312C2×C42×C11C2311yescharacteristic
313C2×C42×C11C2311yescharacteristic
314C2×C42×C11C2311yescharacteristic
315C2×C42×C11C2311yescharacteristic
316C2×C42×C11C2311yescharacteristic
317C2×C42×C11C2311yescharacteristic
318C2×C42×C11C2311yescharacteristic
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11×#95C2311yescharacteristic
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11×#95C2311yescharacteristic
339C11×#95C2311yescharacteristic
340C11×#95C2311yescharacteristic
341C11×#95C2311yescharacteristic
342C11×#95C2311yescharacteristic
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11×#95C2311yescharacteristic
363#59942C1111yesmaximal, characteristic, direct product factor, Sylow
364C24×C11—22no—
365C24×C11—22no—
366C24×C11—22no—
367C24×C11—22no—
368C24×C11—22no—
369C24×C11—22no—
370C24×C11—22no—
371C24×C11—41no—
372C24×C11—41no—
373C24×C11—41no—
374C24×C11—41no—
375C24×C11—41no—
376C24×C11—41no—
377C24×C11—41no—
378C24×C11C2411yescharacteristic
379C24×C11C2411yescharacteristic
380C24×C11C2411yescharacteristic
381C24×C11C2411yescharacteristic
382C24×C11C2411yescharacteristic
383C2×D4×C11—22no—
384C2×D4×C11—22no—
385C2×D4×C11—22no—
386C2×D4×C11—22no—
387C2×D4×C11—22no—
388C2×D4×C11—22no—
389C2×D4×C11—22no—
390C2×D4×C11—22no—
391C2×D4×C11—41no—
392C2×D4×C11—41no—
393C2×D4×C11—416no—
394C2×D4×C11#4114yes—
395C2×D4×C11#4114yes—
396C22×C4×C11—22no—
397C22×C4×C11—22no—
398C22×C4×C11—22no—
399C22×C4×C11—22no—
400C22×C4×C11—22no—
401C22×C4×C11—22no—
402C22×C4×C11—22no—
403C22×C4×C11—22no—
404C22×C4×C11—22no—
405C22×C4×C11—22no—
406C22×C4×C11—22no—
407C22×C4×C11—22no—
408C22×C4×C11—22no—
409C22×C4×C11—22no—
410C22×C4×C11—22no—
411C22×C4×C11—22no—
412C22×C4×C11—22no—
413C22×C4×C11—22no—
414C22×C4×C11—41no—
415C22×C4×C11—41no—
416C22×C4×C11—41no—
417C22×C4×C11—41no—
418C22×C4×C11—41no—
419C22×C4×C11—41no—
420C22×C4×C11—41no—
421C22×C4×C11—41no—
422C22×C4×C11—41no—
423C22×C4×C11—41no—
424C22×C4×C11—41no—
425C22×C4×C11—41no—
426C22×C4×C11—41no—
427C22×C4×C11—41no—
428C22×C4×C11—41no—
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
447C22×C4×C11C2411yescharacteristic
448C22×C4×C11C2411yescharacteristic
449C22×C4×C11C2411yescharacteristic
450C22×C4×C11C2411yescharacteristic
451C22×C4×C11C2411yescharacteristic
452C22×C4×C11C2411yescharacteristic
453C22×C4×C11C2411yescharacteristic
454C22×C4×C11C2411yescharacteristic
455C11×C4⋊C4—22no—
456C11×C4⋊C4—22no—
457C11×C4⋊C4—22no—
458C11×C4⋊C4—22no—
459C11×C4⋊C4—22no—
460C11×C4⋊C4—22no—
461C11×C4⋊C4—22no—
462C11×C4⋊C4—22no—
463C11×C4⋊C4—22no—
464C11×C4⋊C4—22no—
465C11×C4⋊C4—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×C4⋊C4—41no—
478C11×C4⋊C4—41no—
479C11×C4⋊C4—41no—
480C11×C4⋊C4—41no—
481C11×C4⋊C4—41no—
482C11×C4⋊C4—41no—
483C11×C4⋊C4—41no—
484C11×C4⋊C4—41no—
485C11×C22⋊C4—22no—
486C11×C22⋊C4—22no—
487C11×C22⋊C4—22no—
488C11×C22⋊C4—22no—
489C11×C22⋊C4—22no—
490C11×C22⋊C4—22no—
491C11×C22⋊C4—22no—
492C11×C22⋊C4—22no—
493C11×C22⋊C4—22no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—22no—
499C11×C22⋊C4—22no—
500C11×C22⋊C4—22no—
501C11×C22⋊C4—22no—
502C11×C22⋊C4—22no—
503C11×C22⋊C4—22no—
504C11×C22⋊C4—22no—
505C11×C22⋊C4—22no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4—22no—
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—
517C11×C22⋊C4—41no—
518C11×C22⋊C4—41no—
519C11×C22⋊C4—41no—
520C11×C22⋊C4—41no—
521C11×C22⋊C4—41no—
522C11×C22⋊C4—41no—
523C11×C22⋊C4—41no—
524C11×C22⋊C4—41no—
525C11×C22⋊C4—41no—
526C11×C22⋊C4—41no—
527C11×C22⋊C4—41no—
528C11×C22⋊C4—41no—
529C11×C22⋊C4—41no—
530C11×C22⋊C4—41no—
531C11×C22⋊C4—41no—
532C11×C22⋊C4—41no—
533C11×C22⋊C4—41no—
534C11×C22⋊C4#4114yes—
535C42×C11—22no—
536C42×C11—22no—
537C42×C11—22no—
538C42×C11—22no—
539C42×C11—22no—
540C42×C11—22no—
541C42×C11—41no—
542C42×C11—41no—
543C42×C11—41no—
544C42×C11—41no—
545C42×C11—41no—
546C42×C11—41no—
547C42×C11—41no—
548C42×C11—41no—
549#2796C2×C1111yescharacteristic, complemented
550#2786C2×C1111yescharacteristic, complemented
551#2747C2×C1111yescharacteristic, complemented
552#2735C2×C1111yescharacteristic, complemented
553#2601C2×C1111yescharacteristic, complemented
554#2597C2×C1111yescharacteristic, complemented
555#2579C2×C1111yescharacteristic, complemented
556#2531C2×C1111yescharacteristic, complemented
557#2530C2×C1111yescharacteristic, complemented
558#2526C2×C1111yescharacteristic, complemented
559#2522C2×C1111yescharacteristic, complemented
560#2516C2×C1111yescharacteristic, complemented
561#2487C2×C1111yescharacteristic, complemented
562#2482C2×C1111yescharacteristic, complemented
563#2482C2×C1111yescharacteristic, complemented
564#2480C2×C1111yescharacteristic, complemented
565#2480C2×C1111yescharacteristic, complemented
566#2480C2×C1111yescharacteristic, complemented
567#2479C2×C1111yescharacteristic, complemented
568#2419C2×C1111yescharacteristic, complemented
569#2419C2×C1111yescharacteristic, complemented
570#2405C2×C1111yescharacteristic
571#2373C2×C1111yescharacteristic, complemented
572#2359C2×C1111yescharacteristic, complemented
573#2359C2×C1111yescharacteristic, complemented
574#2342C2×C1111yescharacteristic, complemented
575D4×C22⋊C4C2×C1111yescharacteristic
576D4×C22⋊C4C2×C1111yescharacteristic
577#2290C2×C1111yescharacteristic, complemented
578#2290C2×C1111yescharacteristic, complemented
579C2×#388C2×C1111yescharacteristic, complemented
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11—21no—
588C23×C11—21no—
589C23×C11—21no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—44no—
610C23×C11—44no—
611C23×C11—44no—
612C23×C11—44no—
613C23×C11—44no—
614C23×C11—44no—
615C23×C11—44no—
616C23×C11—82no—
617C23×C11—82no—
618C23×C11—82no—
619C23×C11—82no—
620C23×C11—82no—
621C23×C11—82no—
622C23×C11—82no—
623C23×C11C2×#4112yes—
624C23×C11C2×#4112yes—
625C23×C11C2×#4112yes—
626C23×C11C2×#4112yes—
627C23×C11C2×#4112yes—
628C23×C11H(5,𝔽2)12yes—
629C23×C11C2511yescharacteristic
630D4×C11—28no—
631D4×C11—28no—
632D4×C11—44no—
633D4×C11—44no—
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—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—44no—
708C2×C4×C11—44no—
709C2×C4×C11—44no—
710C2×C4×C11—44no—
711C2×C4×C11—44no—
712C2×C4×C11—44no—
713C2×C4×C11—44no—
714C2×C4×C11—44no—
715C2×C4×C11—82no—
716C2×C4×C11—82no—
717C2×C4×C11—82no—
718C2×C4×C11C2×#4112yes—
719C2×C4×C11C2×#4112yes—
720C2×C4×C11C2×#4112yes—
721C2×C4×C11C2×#4112yes—
722C2×C4×C11H(5,𝔽2)12yes—
723C23×D4C22×C1111yescharacteristic
724C2×#126C22×C1111yescharacteristic
725C2×#126C22×C1111yescharacteristic, complemented
726C2×#123C22×C1111yescharacteristic
727C2×#123C22×C1111yescharacteristic
728C2×C4×D4C22×C1111yescharacteristic
729C2×C4×D4C22×C1111yescharacteristic
730C2×C4×D4C22×C1111yescharacteristic
731C2×C4×D4C22×C1111yescharacteristic
732C2×#117C22×C1111yescharacteristic, complemented
733C2×#117C22×C1111yescharacteristic, complemented
734C2×#117C22×C1111yescharacteristic, complemented
735C22×C4⋊C4C22×C1111yescharacteristic, complemented
736C22×C22⋊C4C22×C1111yescharacteristic
737C22×C22⋊C4C22×C1111yescharacteristic
738C22×C22⋊C4C22×C1111yescharacteristic
739C22×C22⋊C4C22×C1111yescharacteristic
740C22×C22⋊C4C22×C1111yescharacteristic
741C22×C42C22×C1111yescharacteristic, complemented
742#400C22×C1111yescharacteristic, complemented
743#400C22×C1111yescharacteristic, complemented
744#400C22×C1111yescharacteristic, complemented
745#400C22×C1111yescharacteristic, complemented
746#399C22×C1111yescharacteristic
747#399C22×C1111yescharacteristic, complemented
748#399C22×C1111yescharacteristic, complemented
749#399C22×C1111yescharacteristic, complemented
750#398C22×C1111yescharacteristic, complemented
751#398C22×C1111yescharacteristic, complemented
752#398C22×C1111yescharacteristic, complemented
753#398C22×C1111yescharacteristic, complemented
754#397C22×C1111yescharacteristic
755#397C22×C1111yescharacteristic
756#397C22×C1111yescharacteristic
757#397C22×C1111yescharacteristic
758#397C22×C1111yescharacteristic, complemented
759#397C22×C1111yescharacteristic, complemented
760#397C22×C1111yescharacteristic, complemented
761#397C22×C1111yescharacteristic, complemented
762#397C22×C1111yescharacteristic, complemented
763#397C22×C1111yescharacteristic, complemented
764#397C22×C1111yescharacteristic, complemented
765#397C22×C1111yescharacteristic, complemented
766#396C22×C1111yescharacteristic
767#396C22×C1111yescharacteristic, complemented
768#396C22×C1111yescharacteristic, complemented
769#396C22×C1111yescharacteristic, complemented
770#394C22×C1111yescharacteristic
771#394C22×C1111yescharacteristic
772#394C22×C1111yescharacteristic
773#394C22×C1111yescharacteristic
774#390C22×C1111yescharacteristic
775#390C22×C1111yescharacteristic
776#390C22×C1111yescharacteristic
777#390C22×C1111yescharacteristic
778#389C22×C1111yescharacteristic, complemented
779#389C22×C1111yescharacteristic, complemented
780#389C22×C1111yescharacteristic, complemented
781#389C22×C1111yescharacteristic, complemented
782#388C22×C1111yescharacteristic
783#388C22×C1111yescharacteristic
784#388C22×C1111yescharacteristic
785#388C22×C1111yescharacteristic
786#388C22×C1111yescharacteristic
787#388C22×C1111yescharacteristic
788#388C22×C1111yescharacteristic
789#388C22×C1111yescharacteristic
790#388C22×C1111yescharacteristic
791#388C22×C1111yescharacteristic, complemented
792#388C22×C1111yescharacteristic, complemented
793#388C22×C1111yescharacteristic, complemented
794#388C22×C1111yescharacteristic, complemented
795#388C22×C1111yescharacteristic, complemented
796#388C22×C1111yescharacteristic, complemented
797#388C22×C1111yescharacteristic, complemented
798#388C22×C1111yescharacteristic, complemented
799#388C22×C1111yescharacteristic, complemented
800#388C22×C1111yescharacteristic, complemented
801#388C22×C1111yescharacteristic, complemented
802#388C22×C1111yescharacteristic, complemented
803#388C22×C1111yescharacteristic, complemented
804#388C22×C1111yescharacteristic, complemented
805#388C22×C1111yescharacteristic, complemented
806#388C22×C1111yescharacteristic, complemented
807#388C22×C1111yescharacteristic, complemented
808#387C22×C1111yescharacteristic, complemented
809#387C22×C1111yescharacteristic, complemented
810#387C22×C1111yescharacteristic, complemented
811#387C22×C1111yescharacteristic, complemented
812#387C22×C1111yescharacteristic, complemented
813#387C22×C1111yescharacteristic, complemented
814#387C22×C1111yescharacteristic, complemented
815#387C22×C1111yescharacteristic, complemented
816#387C22×C1111yescharacteristic, complemented
817#387C22×C1111yescharacteristic, complemented
818#387C22×C1111yescharacteristic, complemented
819#387C22×C1111yescharacteristic, complemented
820#387C22×C1111yescharacteristic, complemented
821#387C22×C1111yescharacteristic, complemented
822#386C22×C1111yescharacteristic
823#386C22×C1111yescharacteristic
824#386C22×C1111yescharacteristic
825#386C22×C1111yescharacteristic
826#386C22×C1111yescharacteristic
827#386C22×C1111yescharacteristic
828#386C22×C1111yescharacteristic
829#386C22×C1111yescharacteristic
830#386C22×C1111yescharacteristic
831#386C22×C1111yescharacteristic
832#385C22×C1111yescharacteristic
833#385C22×C1111yescharacteristic
834#385C22×C1111yescharacteristic, complemented
835#385C22×C1111yescharacteristic, complemented
836#385C22×C1111yescharacteristic, complemented
837#385C22×C1111yescharacteristic, complemented
838#385C22×C1111yescharacteristic, complemented
839#385C22×C1111yescharacteristic, complemented
840#385C22×C1111yescharacteristic, complemented
841#385C22×C1111yescharacteristic, complemented
842#385C22×C1111yescharacteristic, complemented
843#385C22×C1111yescharacteristic, complemented
844#385C22×C1111yescharacteristic, complemented
845#385C22×C1111yescharacteristic, complemented
846#381C22×C1111yescharacteristic, complemented
847#381C22×C1111yescharacteristic, complemented
848#381C22×C1111yescharacteristic, complemented
849#380C22×C1111yescharacteristic
850#380C22×C1111yescharacteristic
851#380C22×C1111yescharacteristic, complemented
852#380C22×C1111yescharacteristic, complemented
853#380C22×C1111yescharacteristic, complemented
854#380C22×C1111yescharacteristic, complemented
855#379C22×C1111yescharacteristic
856#379C22×C1111yescharacteristic
857#379C22×C1111yescharacteristic
858#379C22×C1111yescharacteristic
859#379C22×C1111yescharacteristic
860#379C22×C1111yescharacteristic
861#379C22×C1111yescharacteristic
862C4×C4⋊C4C22×C1111yescharacteristic, complemented
863C4×C4⋊C4C22×C1111yescharacteristic, complemented
864C4×C4⋊C4C22×C1111yescharacteristic, complemented
865C4×C4⋊C4C22×C1111yescharacteristic, complemented
866C4×C22⋊C4C22×C1111yescharacteristic
867C4×C22⋊C4C22×C1111yescharacteristic
868C4×C22⋊C4C22×C1111yescharacteristic, complemented
869C4×C22⋊C4C22×C1111yescharacteristic, complemented
870C4×C22⋊C4C22×C1111yescharacteristic, complemented
871C4×C22⋊C4C22×C1111yescharacteristic, complemented
872C4×C22⋊C4C22×C1111yescharacteristic, complemented
873C4×C22⋊C4C22×C1111yescharacteristic, complemented
874#376C22×C1111yescharacteristic, complemented
875#376C22×C1111yescharacteristic, complemented
876C2×#95C22×C1111yescharacteristic, complemented
877C2×#95C22×C1111yescharacteristic, complemented
878C22×C11—22no—
879C22×C11—22no—
880C22×C11—22no—
881C22×C11—22no—
882C22×C11—22no—
883C22×C11—22no—
884C22×C11—22no—
885C22×C11—22no—
886C22×C11—22no—
887C22×C11—22no—
888C22×C11—22no—
889C22×C11—22no—
890C22×C11—22no—
891C22×C11—22no—
892C22×C11—22no—
893C22×C11—41no—
894C22×C11—41no—
895C22×C11—41no—
896C22×C11—41no—
897C22×C11—41no—
898C22×C11—41no—
899C22×C11—41no—
900C22×C11—41no—
901C22×C11—41no—
902C22×C11—41no—
903C22×C11—41no—
904C22×C11—41no—
905C22×C11—41no—
906C22×C11—41no—
907C22×C11—41no—
908C22×C11—41no—
909C22×C11—41no—
910C22×C11—41no—
911C22×C11—41no—
912C22×C11—88no—
913C22×C11—88no—
914C22×C11#55114yes—
915C22×C11C22×#4111yescharacteristic
916C22×C11C22×#4111yescharacteristic
917C22×C11C22×#4111yescharacteristic
918C22×C11C2×H(5,𝔽2)11yescharacteristic
919C22×C11C2×H(5,𝔽2)11yescharacteristic
920C22×C11#58511yescharacteristic
921C22×C11#58511yescharacteristic
922C4×C11—22no—
923C4×C11—22no—
924C4×C11—22no—
925C4×C11—22no—
926C4×C11—22no—
927C4×C11—41no—
928C4×C11—41no—
929C4×C11—41no—
930C4×C11—41no—
931C4×C11—41no—
932C4×C11—41no—
933C4×C11—41no—
934C4×C11—41no—
935C4×C11—41no—
936C4×C11—41no—
937C4×C11—41no—
938C4×C11—41no—
939C4×C11—41no—
940C4×C11—41no—
941C4×C11—41no—
942C4×C11—41no—
943C4×C11—41no—
944C4×C11—41no—
945C4×C11—41no—
946C4×C11—41no—
947C4×C11—41no—
948C25C23×C1111yescharacteristic
949C25C23×C1111yescharacteristic
950C22×D4—24no—
951C22×D4—24no—
952C22×D4—42no—
953C22×D4C23×C1111yescharacteristic
954C22×D4C23×C1111yescharacteristic
955C22×D4C23×C1111yescharacteristic
956C22×D4C23×C1111yescharacteristic
957C23×C4C23×C1111yescharacteristic
958C23×C4C23×C1111yescharacteristic
959C23×C4C23×C1111yescharacteristic
960C23×C4C23×C1111yescharacteristic
961C23×C4C23×C1111yescharacteristic
962C23×C4C23×C1111yescharacteristic
963C23×C4C23×C1111yescharacteristic
964C23×C4C23×C1111yescharacteristic
965C23×C4C23×C1111yescharacteristic
966C23×C4C23×C1111yescharacteristic
967C23×C4C23×C1111yescharacteristic
968#126—24no—
969#126—42no—
970#123—24no—
971#123—24no—
972C4×D4—24no—
973C4×D4—24no—
974C4×D4—42no—
975C4×D4—42no—
976#117—42no—
977#117—42no—
978#117—42no—
979C2×C4⋊C4—42no—
980C2×C4⋊C4C23×C1111yescharacteristic
981C2×C4⋊C4C23×C1111yescharacteristic
982C2×C4⋊C4C23×C1111yescharacteristic
983C2×C4⋊C4C23×C1111yescharacteristic
984C2×C4⋊C4C23×C1111yescharacteristic
985C2×C4⋊C4C23×C1111yescharacteristic
986C2×C4⋊C4C23×C1111yescharacteristic
987C2×C4⋊C4C23×C1111yescharacteristic
988C2×C4⋊C4C23×C1111yescharacteristic
989C2×C4⋊C4C23×C1111yescharacteristic
990C2×C4⋊C4C23×C1111yescharacteristic
991C2×C4⋊C4C23×C1111yescharacteristic
992C2×C4⋊C4C23×C1111yescharacteristic
993C2×C4⋊C4C23×C1111yescharacteristic
994C2×C4⋊C4C23×C1111yescharacteristic
995C2×C4⋊C4C23×C1111yescharacteristic
996C2×C4⋊C4C23×C1111yescharacteristic
997C2×C4⋊C4C23×C1111yescharacteristic
998C2×C4⋊C4C23×C1111yescharacteristic
999C2×C4⋊C4C23×C1111yescharacteristic
1000C2×C4⋊C4C23×C1111yescharacteristic
1001C2×C4⋊C4C23×C1111yescharacteristic
1002C2×C4⋊C4C23×C1111yescharacteristic
1003C2×C4⋊C4C23×C1111yescharacteristic
1004C2×C4⋊C4C23×C1111yescharacteristic
1005C2×C4⋊C4C23×C1111yescharacteristic
1006C2×C4⋊C4C23×C1111yescharacteristic
1007C2×C4⋊C4C23×C1111yescharacteristic
1008C2×C4⋊C4C23×C1111yescharacteristic
1009C2×C4⋊C4C23×C1111yescharacteristic
1010C2×C22⋊C4—24no—
1011C2×C22⋊C4—24no—
1012C2×C22⋊C4—42no—
1013C2×C22⋊C4—42no—
1014C2×C22⋊C4—42no—
1015C2×C22⋊C4C23×C1111yescharacteristic
1016C2×C22⋊C4C23×C1111yescharacteristic
1017C2×C22⋊C4C23×C1111yescharacteristic
1018C2×C22⋊C4C23×C1111yescharacteristic
1019C2×C22⋊C4C23×C1111yescharacteristic
1020C2×C22⋊C4C23×C1111yescharacteristic
1021C2×C22⋊C4C23×C1111yescharacteristic
1022C2×C22⋊C4C23×C1111yescharacteristic
1023C2×C22⋊C4C23×C1111yescharacteristic
1024C2×C22⋊C4C23×C1111yescharacteristic
1025C2×C22⋊C4C23×C1111yescharacteristic
1026C2×C22⋊C4C23×C1111yescharacteristic
1027C2×C22⋊C4C23×C1111yescharacteristic
1028C2×C22⋊C4C23×C1111yescharacteristic
1029C2×C22⋊C4C23×C1111yescharacteristic
1030C2×C22⋊C4C23×C1111yescharacteristic
1031C2×C22⋊C4C23×C1111yescharacteristic
1032C2×C22⋊C4C23×C1111yescharacteristic
1033C2×C22⋊C4C23×C1111yescharacteristic
1034C2×C22⋊C4C23×C1111yescharacteristic
1035C2×C22⋊C4C23×C1111yescharacteristic
1036C2×C22⋊C4C23×C1111yescharacteristic
1037C2×C22⋊C4C23×C1111yescharacteristic
1038C2×C22⋊C4C23×C1111yescharacteristic
1039C2×C22⋊C4C23×C1111yescharacteristic
1040C2×C22⋊C4C23×C1111yescharacteristic
1041C2×C22⋊C4C23×C1111yescharacteristic
1042C2×C22⋊C4C23×C1111yescharacteristic
1043C2×C22⋊C4C23×C1111yescharacteristic
1044C2×C22⋊C4C23×C1111yescharacteristic
1045C2×C22⋊C4C23×C1111yescharacteristic
1046C2×C22⋊C4C23×C1111yescharacteristic
1047C2×C22⋊C4C23×C1111yescharacteristic
1048C2×C22⋊C4C23×C1111yescharacteristic
1049C2×C22⋊C4C23×C1111yescharacteristic
1050C2×C22⋊C4C23×C1111yescharacteristic
1051C2×C22⋊C4C23×C1111yescharacteristic
1052C2×C22⋊C4C23×C1111yescharacteristic
1053C2×C22⋊C4C23×C1111yescharacteristic
1054C2×C22⋊C4C23×C1111yescharacteristic
1055C2×C22⋊C4C23×C1111yescharacteristic
1056C2×C22⋊C4C23×C1111yescharacteristic
1057C2×C22⋊C4C23×C1111yescharacteristic
1058C2×C22⋊C4C23×C1111yescharacteristic
1059C2×C22⋊C4C23×C1111yescharacteristic
1060C2×C22⋊C4C23×C1111yescharacteristic
1061C2×C22⋊C4C23×C1111yescharacteristic
1062C2×C22⋊C4C23×C1111yescharacteristic
1063C2×C22⋊C4C23×C1111yescharacteristic
1064C2×C22⋊C4C23×C1111yescharacteristic
1065C2×C42—42no—
1066C2×C42C23×C1111yescharacteristic
1067C2×C42C23×C1111yescharacteristic
1068C2×C42C23×C1111yescharacteristic
1069C2×C42C23×C1111yescharacteristic
1070C2×C42C23×C1111yescharacteristic
1071C2×C42C23×C1111yescharacteristic
1072C2×C42C23×C1111yescharacteristic
1073C2×C42C23×C1111yescharacteristic
1074C2×C42C23×C1111yescharacteristic
1075C2×C42C23×C1111yescharacteristic
1076C2×C42C23×C1111yescharacteristic
1077C2×C42C23×C1111yescharacteristic
1078C2×C42C23×C1111yescharacteristic
1079C2×C42C23×C1111yescharacteristic
1080#95C23×C1111yescharacteristic
1081#95C23×C1111yescharacteristic
1082#95C23×C1111yescharacteristic
1083#95C23×C1111yescharacteristic
1084#95C23×C1111yescharacteristic
1085#95C23×C1111yescharacteristic
1086#95C23×C1111yescharacteristic
1087#95C23×C1111yescharacteristic
1088#95C23×C1111yescharacteristic
1089#95C23×C1111yescharacteristic
1090#95C23×C1111yescharacteristic
1091#95C23×C1111yescharacteristic
1092#95C23×C1111yescharacteristic
1093#95C23×C1111yescharacteristic
1094#95C23×C1111yescharacteristic
1095#95C23×C1111yescharacteristic
1096#95C23×C1111yescharacteristic
1097#95C23×C1111yescharacteristic
1098#95C23×C1111yescharacteristic
1099#95C23×C1111yescharacteristic
1100#95C23×C1111yescharacteristic
1101#95C23×C1111yescharacteristic
1102#95C23×C1111yescharacteristic
1103#95C23×C1111yescharacteristic
1104#95C23×C1111yescharacteristic
1105#95C23×C1111yescharacteristic
1106#95C23×C1111yescharacteristic
1107#95C23×C1111yescharacteristic
1108#95C23×C1111yescharacteristic
1109#95C23×C1111yescharacteristic
1110#95C23×C1111yescharacteristic
1111#95C23×C1111yescharacteristic
1112#95C23×C1111yescharacteristic
1113#95C23×C1111yescharacteristic
1114#95C23×C1111yescharacteristic
1115#95C23×C1111yescharacteristic
1116#95C23×C1111yescharacteristic
1117#95C23×C1111yescharacteristic
1118#95C23×C1111yescharacteristic
1119#95C23×C1111yescharacteristic
1120#95C23×C1111yescharacteristic
1121#95C23×C1111yescharacteristic
1122#95C23×C1111yescharacteristic
1123#95C23×C1111yescharacteristic
1124C2×C11—24no—
1125C2×C11—42no—
1126C2×C11—42no—
1127C2×C11—42no—
1128C2×C11—81no—
1129C2×C11C2×#55111yescharacteristic
1130C2×C11#347511yescharacteristic
1131C2×C11#348111yescharacteristic
1132C2×C11#351311yescharacteristic
1133C2×C11#351311yescharacteristic
1134C2×C11#352111yescharacteristic
1135C2×C11#354211yescharacteristic
1136C24—22no—
1137C24—22no—
1138C24—22no—
1139C24—22no—
1140C24—22no—
1141C24—22no—
1142C24—22no—
1143C24—41no—
1144C24—41no—
1145C24—41no—
1146C24—41no—
1147C24—41no—
1148C24—41no—
1149C24—41no—
1150C24C24×C1111yescharacteristic
1151C24C24×C1111yescharacteristic
1152C24C24×C1111yescharacteristic
1153C24C24×C1111yescharacteristic
1154C24C24×C1111yescharacteristic
1155C2×D4—22no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—416no—
1166C2×D4C11×#4114yes—
1167C2×D4C11×#4114yes—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4C24×C1111yescharacteristic
1202C22×C4C24×C1111yescharacteristic
1203C22×C4C24×C1111yescharacteristic
1204C22×C4C24×C1111yescharacteristic
1205C22×C4C24×C1111yescharacteristic
1206C22×C4C24×C1111yescharacteristic
1207C22×C4C24×C1111yescharacteristic
1208C22×C4C24×C1111yescharacteristic
1209C22×C4C24×C1111yescharacteristic
1210C22×C4C24×C1111yescharacteristic
1211C22×C4C24×C1111yescharacteristic
1212C22×C4C24×C1111yescharacteristic
1213C22×C4C24×C1111yescharacteristic
1214C22×C4C24×C1111yescharacteristic
1215C22×C4C24×C1111yescharacteristic
1216C22×C4C24×C1111yescharacteristic
1217C22×C4C24×C1111yescharacteristic
1218C22×C4C24×C1111yescharacteristic
1219C22×C4C24×C1111yescharacteristic
1220C22×C4C24×C1111yescharacteristic
1221C22×C4C24×C1111yescharacteristic
1222C22×C4C24×C1111yescharacteristic
1223C22×C4C24×C1111yescharacteristic
1224C22×C4C24×C1111yescharacteristic
1225C22×C4C24×C1111yescharacteristic
1226C22×C4C24×C1111yescharacteristic
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4C11×#4114yes—
1307C42—22no—
1308C42—22no—
1309C42—22no—
1310C42—22no—
1311C42—22no—
1312C42—22no—
1313C42—41no—
1314C42—41no—
1315C42—41no—
1316C42—41no—
1317C42—41no—
1318C42—41no—
1319C42—41no—
1320C42—41no—
1321C11#5994211yescharacteristic, direct product factor, Sylow
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—44no—
1352C23—44no—
1353C23—44no—
1354C23—44no—
1355C23—44no—
1356C23—44no—
1357C23—44no—
1358C23—82no—
1359C23—82no—
1360C23—82no—
1361C23—82no—
1362C23—82no—
1363C23—82no—
1364C23—82no—
1365C23C2×C11×#4112yes—
1366C23C2×C11×#4112yes—
1367C23C2×C11×#4112yes—
1368C23C2×C11×#4112yes—
1369C23C2×C11×#4112yes—
1370C23C11×H(5,𝔽2)12yes—
1371C23C25×C1111yescharacteristic
1372D4—28no—
1373D4—28no—
1374D4—44no—
1375D4—44no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—44no—
1450C2×C4—44no—
1451C2×C4—44no—
1452C2×C4—44no—
1453C2×C4—44no—
1454C2×C4—44no—
1455C2×C4—44no—
1456C2×C4—44no—
1457C2×C4—82no—
1458C2×C4—82no—
1459C2×C4—82no—
1460C2×C4C2×C11×#4112yes—
1461C2×C4C2×C11×#4112yes—
1462C2×C4C2×C11×#4112yes—
1463C2×C4C2×C11×#4112yes—
1464C2×C4C11×H(5,𝔽2)12yes—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—22no—
1469C22—22no—
1470C22—22no—
1471C22—22no—
1472C22—22no—
1473C22—22no—
1474C22—22no—
1475C22—22no—
1476C22—22no—
1477C22—22no—
1478C22—22no—
1479C22—22no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—88no—
1500C22—88no—
1501C22C11×#55114yes—
1502C22C22×C11×#4111yescharacteristic
1503C22C22×C11×#4111yescharacteristic
1504C22C22×C11×#4111yescharacteristic
1505C22C2×C11×H(5,𝔽2)11yescharacteristic
1506C22C2×C11×H(5,𝔽2)11yescharacteristic
1507C22C11×#58511yescharacteristic
1508C22C11×#58511yescharacteristic
1509C4—22no—
1510C4—22no—
1511C4—22no—
1512C4—22no—
1513C4—22no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C2—24no—
1536C2—42no—
1537C2—42no—
1538C2—42no—
1539C2—81no—
1540C2C2×C11×#55111yescharacteristic
1541C2C11×#347511yescharacteristic
1542C2C11×#348111yescharacteristic
1543C2C11×#351311yescharacteristic
1544C2C11×#351311yescharacteristic
1545C2C11×#352111yescharacteristic
1546C2C11×#354211yescharacteristic
subgroupG/H
center, socleC23×C11C25
commutator, Frattini, cosocleC23C25×C11
prime radicalC23×D4×C11C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#2796C2semidirect
2. C11×#2786C2semidirect
3. C11×#2747C2semidirect
4. C11×#2735C2semidirect
5. C11×#2601C2semidirect
6. C11×#2597C2semidirect
7. C11×#2579C2semidirect
8. C11×#2531C2semidirect
9. C11×#2530C2semidirect
10. C11×#2526C2semidirect
11. C11×#2522C2semidirect
12. C11×#2516C2semidirect
13. C11×#2487C2semidirect
14. C11×#2482C2semidirect
15. C11×#2482C2semidirect
16. C11×#2480C2semidirect
17. C11×#2480C2semidirect
18. C11×#2480C2semidirect
19. C11×#2479C2semidirect
20. C11×#2419C2semidirect
21. C11×#2419C2semidirect
23. C11×#2373C2semidirect
24. C11×#2359C2semidirect
25. C11×#2359C2semidirect
26. C11×#2342C2semidirect
29. C11×#2290C2semidirect
30. C11×#2290C2semidirect
31. C2×C11×#388C2semidirect
34. C2×C11×#126C22semidirect
41. C2×C11×#117C22semidirect
42. C2×C11×#117C22semidirect
43. C2×C11×#117C22semidirect
44. C22×C11×C4⋊C4C22semidirect
50. C22×C42×C11C22semidirect
51. C11×#400C22semidirect
52. C11×#400C22semidirect
53. C11×#400C22semidirect
54. C11×#400C22semidirect
56. C11×#399C22semidirect
57. C11×#399C22semidirect
58. C11×#399C22semidirect
59. C11×#398C22semidirect
60. C11×#398C22semidirect
61. C11×#398C22semidirect
62. C11×#398C22semidirect
67. C11×#397C22semidirect
68. C11×#397C22semidirect
69. C11×#397C22semidirect
70. C11×#397C22semidirect
71. C11×#397C22semidirect
72. C11×#397C22semidirect
73. C11×#397C22semidirect
74. C11×#397C22semidirect
76. C11×#396C22semidirect
77. C11×#396C22semidirect
78. C11×#396C22semidirect
87. C11×#389C22semidirect
88. C11×#389C22semidirect
89. C11×#389C22semidirect
90. C11×#389C22semidirect
100. C11×#388C22semidirect
101. C11×#388C22semidirect
102. C11×#388C22semidirect
103. C11×#388C22semidirect
104. C11×#388C22semidirect
105. C11×#388C22semidirect
106. C11×#388C22semidirect
107. C11×#388C22semidirect
108. C11×#388C22semidirect
109. C11×#388C22semidirect
110. C11×#388C22semidirect
111. C11×#388C22semidirect
112. C11×#388C22semidirect
113. C11×#388C22semidirect
114. C11×#388C22semidirect
115. C11×#388C22semidirect
116. C11×#388C22semidirect
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
143. C11×#385C22semidirect
144. C11×#385C22semidirect
145. C11×#385C22semidirect
146. C11×#385C22semidirect
147. C11×#385C22semidirect
148. C11×#385C22semidirect
149. C11×#385C22semidirect
150. C11×#385C22semidirect
151. C11×#385C22semidirect
152. C11×#385C22semidirect
153. C11×#385C22semidirect
154. C11×#385C22semidirect
155. C11×#381C22semidirect
156. C11×#381C22semidirect
157. C11×#381C22semidirect
160. C11×#380C22semidirect
161. C11×#380C22semidirect
162. C11×#380C22semidirect
163. C11×#380C22semidirect
171. C4×C11×C4⋊C4C22semidirect
172. C4×C11×C4⋊C4C22semidirect
173. C4×C11×C4⋊C4C22semidirect
174. C4×C11×C4⋊C4C22semidirect
177. C4×C11×C22⋊C4C22semidirect
178. C4×C11×C22⋊C4C22semidirect
179. C4×C11×C22⋊C4C22semidirect
180. C4×C11×C22⋊C4C22semidirect
181. C4×C11×C22⋊C4C22semidirect
182. C4×C11×C22⋊C4C22semidirect
183. C11×#376C22semidirect
184. C11×#376C22semidirect
185. C2×C11×#95C22semidirect
186. C2×C11×#95C22semidirect
363. #59942C11direct (N × H)
549. #2796C2×C11semidirect
550. #2786C2×C11semidirect
551. #2747C2×C11semidirect
552. #2735C2×C11semidirect
553. #2601C2×C11semidirect
554. #2597C2×C11semidirect
555. #2579C2×C11semidirect
556. #2531C2×C11semidirect
557. #2530C2×C11semidirect
558. #2526C2×C11semidirect
559. #2522C2×C11semidirect
560. #2516C2×C11semidirect
561. #2487C2×C11semidirect
562. #2482C2×C11semidirect
563. #2482C2×C11semidirect
564. #2480C2×C11semidirect
565. #2480C2×C11semidirect
566. #2480C2×C11semidirect
567. #2479C2×C11semidirect
568. #2419C2×C11semidirect
569. #2419C2×C11semidirect
571. #2373C2×C11semidirect
572. #2359C2×C11semidirect
573. #2359C2×C11semidirect
574. #2342C2×C11semidirect
577. #2290C2×C11semidirect
578. #2290C2×C11semidirect
579. C2×#388C2×C11semidirect
725. C2×#126C22×C11semidirect
732. C2×#117C22×C11semidirect
733. C2×#117C22×C11semidirect
734. C2×#117C22×C11semidirect
735. C22×C4⋊C4C22×C11semidirect
741. C22×C42C22×C11semidirect
742. #400C22×C11semidirect
743. #400C22×C11semidirect
744. #400C22×C11semidirect
745. #400C22×C11semidirect
747. #399C22×C11semidirect
748. #399C22×C11semidirect
749. #399C22×C11semidirect
750. #398C22×C11semidirect
751. #398C22×C11semidirect
752. #398C22×C11semidirect
753. #398C22×C11semidirect
758. #397C22×C11semidirect
759. #397C22×C11semidirect
760. #397C22×C11semidirect
761. #397C22×C11semidirect
762. #397C22×C11semidirect
763. #397C22×C11semidirect
764. #397C22×C11semidirect
765. #397C22×C11semidirect
767. #396C22×C11semidirect
768. #396C22×C11semidirect
769. #396C22×C11semidirect
778. #389C22×C11semidirect
779. #389C22×C11semidirect
780. #389C22×C11semidirect
781. #389C22×C11semidirect
791. #388C22×C11semidirect
792. #388C22×C11semidirect
793. #388C22×C11semidirect
794. #388C22×C11semidirect
795. #388C22×C11semidirect
796. #388C22×C11semidirect
797. #388C22×C11semidirect
798. #388C22×C11semidirect
799. #388C22×C11semidirect
800. #388C22×C11semidirect
801. #388C22×C11semidirect
802. #388C22×C11semidirect
803. #388C22×C11semidirect
804. #388C22×C11semidirect
805. #388C22×C11semidirect
806. #388C22×C11semidirect
807. #388C22×C11semidirect
808. #387C22×C11semidirect
809. #387C22×C11semidirect
810. #387C22×C11semidirect
811. #387C22×C11semidirect
812. #387C22×C11semidirect
813. #387C22×C11semidirect
814. #387C22×C11semidirect
815. #387C22×C11semidirect
816. #387C22×C11semidirect
817. #387C22×C11semidirect
818. #387C22×C11semidirect
819. #387C22×C11semidirect
820. #387C22×C11semidirect
821. #387C22×C11semidirect
834. #385C22×C11semidirect
835. #385C22×C11semidirect
836. #385C22×C11semidirect
837. #385C22×C11semidirect
838. #385C22×C11semidirect
839. #385C22×C11semidirect
840. #385C22×C11semidirect
841. #385C22×C11semidirect
842. #385C22×C11semidirect
843. #385C22×C11semidirect
844. #385C22×C11semidirect
845. #385C22×C11semidirect
846. #381C22×C11semidirect
847. #381C22×C11semidirect
848. #381C22×C11semidirect
851. #380C22×C11semidirect
852. #380C22×C11semidirect
853. #380C22×C11semidirect
854. #380C22×C11semidirect
862. C4×C4⋊C4C22×C11semidirect
863. C4×C4⋊C4C22×C11semidirect
864. C4×C4⋊C4C22×C11semidirect
865. C4×C4⋊C4C22×C11semidirect
868. C4×C22⋊C4C22×C11semidirect
869. C4×C22⋊C4C22×C11semidirect
870. C4×C22⋊C4C22×C11semidirect
871. C4×C22⋊C4C22×C11semidirect
872. C4×C22⋊C4C22×C11semidirect
873. C4×C22⋊C4C22×C11semidirect
874. #376C22×C11semidirect
875. #376C22×C11semidirect
876. C2×#95C22×C11semidirect
877. C2×#95C22×C11semidirect
1321. C11#59942direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#27962
C11×#27862
C11×#27472
C11×#27352
C11×#26012
C11×#25972
C11×#25792
C11×#25312
C11×#25302
C11×#25262
C11×#25222
C11×#25162
C11×#24872
C11×#24822
C11×#24802
C11×#24792
C11×#24192
C11×#24052
C11×#23732
C11×#23592
C11×#23422
D4×C11×C22⋊C42
C11×#22902
C2×C11×#3882
#5994211