Finite Group Databasebeta

← C11×#60022 #14637215

Subgroups — C11×#60022 #14637215

Order 2816.

1968 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2746C211yesmaximal, characteristic, complemented
2C11×#2701C211yesmaximal, characteristic, complemented
3C11×#2687C211yesmaximal, characteristic, complemented
4C11×#2678C211yesmaximal, characteristic
5C11×#2601C211yesmaximal, characteristic, complemented
6C11×#2600C211yesmaximal, characteristic, complemented
7C11×#2598C211yesmaximal, characteristic, complemented
8C11×#2587C211yesmaximal, characteristic, complemented
9C11×#2580C211yesmaximal, characteristic, complemented
10C11×#2577C211yesmaximal, characteristic, complemented
11C11×#2576C211yesmaximal, characteristic, complemented
12C11×#2534C211yesmaximal, characteristic, complemented
13C11×#2527C211yesmaximal, characteristic, complemented
14C11×#2526C211yesmaximal, characteristic, complemented
15C11×#2522C211yesmaximal, characteristic, complemented
16C11×#2516C211yesmaximal, characteristic, complemented
17C11×#2515C211yesmaximal, characteristic, complemented
18C11×#2482C211yesmaximal, characteristic, complemented
19C11×#2472C211yesmaximal, characteristic, complemented
20C11×#2468C211yesmaximal, characteristic, complemented
21C11×#2467C211yesmaximal, characteristic, complemented
22C11×#2459C211yesmaximal, characteristic, complemented
23C11×#2374C211yesmaximal, characteristic, complemented
24C11×#2367C211yesmaximal, characteristic, complemented
25C11×#2362C211yesmaximal, characteristic, complemented
26C11×#2358C211yesmaximal, characteristic, complemented
27C11×#2358C211yesmaximal, characteristic, complemented
28C11×#2342C211yesmaximal, characteristic, complemented
29C4×C11×#123C211yesmaximal, characteristic, complemented
30C4×C11×#121C211yesmaximal, characteristic, complemented
31C11×#2290C211yesmaximal, characteristic, complemented
32C2×C11×#126C2211yescharacteristic, complemented
33C2×C11×#124C2211yescharacteristic
34C2×C11×#123C2211yescharacteristic
35C2×C11×#123C2211yescharacteristic
36C2×C11×C22⋊Q8C2211yescharacteristic
37C2×C11×#121C2211yescharacteristic
38C2×C11×#120C2211yescharacteristic
39C2×C11×#120C2211yescharacteristic
40C2×C4×Q8×C11C2211yescharacteristic, complemented
41C2×C4×D4×C11C2211yescharacteristic
42C2×C4×D4×C11C2211yescharacteristic
43C2×C4×D4×C11C2211yescharacteristic
44C2×C4×D4×C11C2211yescharacteristic
45C2×C4×D4×C11C2211yescharacteristic
46C2×C4×D4×C11C2211yescharacteristic, complemented
47C2×C11×#117C2211yescharacteristic
48C2×C11×#117C2211yescharacteristic
49C22×C11×C22⋊C4C2211yescharacteristic
50C22×C11×C22⋊C4C2211yescharacteristic
51C22×C11×C22⋊C4C2211yescharacteristic
52C22×C42×C11C2211yescharacteristic, complemented
53C11×#401C2211yescharacteristic, complemented
54C11×#400C2211yescharacteristic, complemented
55C11×#400C2211yescharacteristic, complemented
56C11×#400C2211yescharacteristic, complemented
57C11×#399C2211yescharacteristic
58C11×#399C2211yescharacteristic
59C11×#399C2211yescharacteristic, complemented
60C11×#398C2211yescharacteristic, complemented
61C11×#398C2211yescharacteristic, complemented
62C11×#398C2211yescharacteristic, complemented
63C11×#398C2211yescharacteristic, complemented
64C11×#397C2211yescharacteristic
65C11×#397C2211yescharacteristic
66C11×#397C2211yescharacteristic
67C11×#397C2211yescharacteristic
68C11×#397C2211yescharacteristic, complemented
69C11×#396C2211yescharacteristic
70C11×#396C2211yescharacteristic
71C11×#396C2211yescharacteristic
72C11×#396C2211yescharacteristic, complemented
73C11×#394C2211yescharacteristic
74C11×#394C2211yescharacteristic
75C11×#394C2211yescharacteristic
76C11×#394C2211yescharacteristic
77C11×#394C2211yescharacteristic
78C11×#394C2211yescharacteristic
79C11×#394C2211yescharacteristic, complemented
80C11×#394C2211yescharacteristic, complemented
81C11×#393C2211yescharacteristic
82C11×#393C2211yescharacteristic, complemented
83C11×#392C2211yescharacteristic
84C11×#392C2211yescharacteristic
85C11×#391C2211yescharacteristic, complemented
86C11×#391C2211yescharacteristic, complemented
87C11×#390C2211yescharacteristic
88C11×#390C2211yescharacteristic
89C11×#390C2211yescharacteristic
90C11×#390C2211yescharacteristic
91C11×#390C2211yescharacteristic
92C11×#389C2211yescharacteristic, complemented
93C11×#389C2211yescharacteristic, complemented
94C11×#389C2211yescharacteristic, complemented
95C11×#389C2211yescharacteristic, complemented
96C11×#388C2211yescharacteristic
97C11×#388C2211yescharacteristic
98C11×#388C2211yescharacteristic
99C11×#388C2211yescharacteristic
100C11×#388C2211yescharacteristic
101C11×#388C2211yescharacteristic
102C11×#388C2211yescharacteristic
103C11×#388C2211yescharacteristic
104C11×#388C2211yescharacteristic
105C11×#388C2211yescharacteristic
106C11×#388C2211yescharacteristic
107C11×#388C2211yescharacteristic
108C11×#388C2211yescharacteristic
109C11×#388C2211yescharacteristic
110C11×#388C2211yescharacteristic
111C11×#388C2211yescharacteristic
112C11×#388C2211yescharacteristic
113C11×#388C2211yescharacteristic, complemented
114C11×#388C2211yescharacteristic, complemented
115C11×#388C2211yescharacteristic, complemented
116C11×#388C2211yescharacteristic, complemented
117C11×#388C2211yescharacteristic, complemented
118C11×#388C2211yescharacteristic, complemented
119C11×#388C2211yescharacteristic, complemented
120C11×#388C2211yescharacteristic, complemented
121C11×#387C2211yescharacteristic, complemented
122C11×#387C2211yescharacteristic, complemented
123C11×#387C2211yescharacteristic, complemented
124C11×#387C2211yescharacteristic, complemented
125C11×#387C2211yescharacteristic, complemented
126C11×#387C2211yescharacteristic, complemented
127C11×#387C2211yescharacteristic, complemented
128C11×#387C2211yescharacteristic, complemented
129C11×#387C2211yescharacteristic, complemented
130C11×#387C2211yescharacteristic, complemented
131C11×#387C2211yescharacteristic, complemented
132C11×#387C2211yescharacteristic, complemented
133C11×#386C2211yescharacteristic
134C11×#386C2211yescharacteristic
135C11×#386C2211yescharacteristic
136C11×#386C2211yescharacteristic
137C11×#386C2211yescharacteristic
138C11×#386C2211yescharacteristic
139C11×#386C2211yescharacteristic
140C11×#386C2211yescharacteristic
141C11×#386C2211yescharacteristic
142C11×#386C2211yescharacteristic
143C11×#386C2211yescharacteristic
144C11×#386C2211yescharacteristic, complemented
145C11×#385C2211yescharacteristic
146C11×#385C2211yescharacteristic
147C11×#385C2211yescharacteristic
148C11×#385C2211yescharacteristic
149C11×#385C2211yescharacteristic
150C11×#385C2211yescharacteristic
151C11×#385C2211yescharacteristic
152C11×#385C2211yescharacteristic
153C11×#385C2211yescharacteristic, complemented
154C11×#385C2211yescharacteristic, complemented
155C11×#385C2211yescharacteristic, complemented
156C11×#385C2211yescharacteristic, complemented
157C11×#383C2211yescharacteristic, complemented
158C11×#382C2211yescharacteristic, complemented
159C11×#381C2211yescharacteristic
160C11×#381C2211yescharacteristic
161C11×#381C2211yescharacteristic
162C11×#381C2211yescharacteristic, complemented
163C11×#381C2211yescharacteristic, complemented
164C11×#380C2211yescharacteristic
165C11×#380C2211yescharacteristic
166C11×#380C2211yescharacteristic, complemented
167C11×#379C2211yescharacteristic
168C11×#379C2211yescharacteristic
169C4×C11×C4⋊C4C2211yescharacteristic, complemented
170C4×C11×C4⋊C4C2211yescharacteristic, complemented
171C4×C11×C4⋊C4C2211yescharacteristic, complemented
172C4×C11×C4⋊C4C2211yescharacteristic, complemented
173C4×C11×C4⋊C4C2211yescharacteristic, complemented
174C4×C11×C4⋊C4C2211yescharacteristic, complemented
175C4×C11×C22⋊C4C2211yescharacteristic
176C4×C11×C22⋊C4C2211yescharacteristic
177C4×C11×C22⋊C4C2211yescharacteristic
178C4×C11×C22⋊C4C2211yescharacteristic
179C4×C11×C22⋊C4C2211yescharacteristic
180C4×C11×C22⋊C4C2211yescharacteristic
181C4×C11×C22⋊C4C2211yescharacteristic
182C4×C11×C22⋊C4C2211yescharacteristic
183C4×C11×C22⋊C4C2211yescharacteristic, complemented
184C4×C11×C22⋊C4C2211yescharacteristic, complemented
185C4×C11×C22⋊C4C2211yescharacteristic, complemented
186C11×#376C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
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
206C11×#126—42no—
207C11×#124—24no—
208C11×#123—24no—
209C11×#123—24no—
210C11×C22⋊Q8—24no—
211C11×#121—24no—
212C11×#120—24no—
213C11×#120—24no—
214C4×Q8×C11—42no—
215C4×D4×C11—24no—
216C4×D4×C11—42no—
217C4×D4×C11—42no—
218C4×D4×C11—42no—
219C4×D4×C11—42no—
220C4×D4×C11—42no—
221C11×#117—42no—
222C11×#117—42no—
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C4⋊C4C2311yescharacteristic
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊C4C2311yescharacteristic
248C2×C11×C4⋊C4C2311yescharacteristic
249C2×C11×C4⋊C4C2311yescharacteristic
250C2×C11×C4⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4—24no—
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×C42×C11—42no—
303C2×C42×C11C2311yescharacteristic
304C2×C42×C11C2311yescharacteristic
305C2×C42×C11C2311yescharacteristic
306C2×C42×C11C2311yescharacteristic
307C2×C42×C11C2311yescharacteristic
308C2×C42×C11C2311yescharacteristic
309C2×C42×C11C2311yescharacteristic
310C2×C42×C11C2311yescharacteristic
311C2×C42×C11C2311yescharacteristic
312C2×C42×C11C2311yescharacteristic
313C2×C42×C11C2311yescharacteristic
314C2×C42×C11C2311yescharacteristic
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#60022C1111yesmaximal, characteristic, direct product factor, Sylow
364C24×C11—22no—
365C24×C11—22no—
366C24×C11—22no—
367C24×C11—41no—
368C24×C11—41no—
369C24×C11—41no—
370C24×C11—41no—
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C24×C11C2411yescharacteristic
375C24×C11C2411yescharacteristic
376C2×Q8×C11—22no—
377C2×Q8×C11—22no—
378C2×Q8×C11—41no—
379C2×D4×C11—22no—
380C2×D4×C11—22no—
381C2×D4×C11—22no—
382C2×D4×C11—22no—
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—41no—
390C2×D4×C11—41no—
391C2×D4×C11—41no—
392C2×D4×C11—41no—
393C2×D4×C11—41no—
394C2×D4×C11—41no—
395C2×D4×C11—41no—
396C2×D4×C11—41no—
397C2×D4×C11—41no—
398C2×D4×C11—41no—
399C2×D4×C11#4114yes—
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—41no—
414C22×C4×C11—41no—
415C22×C4×C11—41no—
416C22×C4×C11—41no—
417C22×C4×C11—41no—
418C22×C4×C11—41no—
419C22×C4×C11—41no—
420C22×C4×C11—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×C11—41no—
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
455C22×C4×C11C2411yescharacteristic
456C11×C4⋊C4—22no—
457C11×C4⋊C4—22no—
458C11×C4⋊C4—22no—
459C11×C4⋊C4—22no—
460C11×C4⋊C4—22no—
461C11×C4⋊C4—22no—
462C11×C4⋊C4—22no—
463C11×C4⋊C4—22no—
464C11×C4⋊C4—22no—
465C11×C4⋊C4—22no—
466C11×C4⋊C4—22no—
467C11×C4⋊C4—22no—
468C11×C4⋊C4—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×C22⋊C4—22no—
485C11×C22⋊C4—22no—
486C11×C22⋊C4—22no—
487C11×C22⋊C4—22no—
488C11×C22⋊C4—22no—
489C11×C22⋊C4—22no—
490C11×C22⋊C4—22no—
491C11×C22⋊C4—22no—
492C11×C22⋊C4—22no—
493C11×C22⋊C4—22no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—22no—
499C11×C22⋊C4—22no—
500C11×C22⋊C4—22no—
501C11×C22⋊C4—22no—
502C11×C22⋊C4—22no—
503C11×C22⋊C4—22no—
504C11×C22⋊C4—22no—
505C11×C22⋊C4—22no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4—22no—
508C11×C22⋊C4—22no—
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#4114yes—
531C11×C22⋊C4#4114yes—
532C42×C11—22no—
533C42×C11—22no—
534C42×C11—22no—
535C42×C11—22no—
536C42×C11—22no—
537C42×C11—22no—
538C42×C11—22no—
539C42×C11—41no—
540C42×C11—41no—
541C42×C11—41no—
542C42×C11—41no—
543C42×C11—41no—
544C42×C11—41no—
545C42×C11—41no—
546C42×C11—41no—
547C42×C11—41no—
548#2746C2×C1111yescharacteristic, complemented
549#2701C2×C1111yescharacteristic, complemented
550#2687C2×C1111yescharacteristic, complemented
551#2678C2×C1111yescharacteristic
552#2601C2×C1111yescharacteristic, complemented
553#2600C2×C1111yescharacteristic, complemented
554#2598C2×C1111yescharacteristic, complemented
555#2587C2×C1111yescharacteristic, complemented
556#2580C2×C1111yescharacteristic, complemented
557#2577C2×C1111yescharacteristic, complemented
558#2576C2×C1111yescharacteristic, complemented
559#2534C2×C1111yescharacteristic, complemented
560#2527C2×C1111yescharacteristic, complemented
561#2526C2×C1111yescharacteristic, complemented
562#2522C2×C1111yescharacteristic, complemented
563#2516C2×C1111yescharacteristic, complemented
564#2515C2×C1111yescharacteristic, complemented
565#2482C2×C1111yescharacteristic, complemented
566#2472C2×C1111yescharacteristic, complemented
567#2468C2×C1111yescharacteristic, complemented
568#2467C2×C1111yescharacteristic, complemented
569#2459C2×C1111yescharacteristic, complemented
570#2374C2×C1111yescharacteristic, complemented
571#2367C2×C1111yescharacteristic, complemented
572#2362C2×C1111yescharacteristic, complemented
573#2358C2×C1111yescharacteristic, complemented
574#2358C2×C1111yescharacteristic, complemented
575#2342C2×C1111yescharacteristic, complemented
576C4×#123C2×C1111yescharacteristic, complemented
577C4×#121C2×C1111yescharacteristic, complemented
578#2290C2×C1111yescharacteristic, complemented
579C23×C11—21no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11—21no—
588C23×C11—21no—
589C23×C11—21no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×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—21no—
610C23×C11—44no—
611C23×C11—44no—
612C23×C11—44no—
613C23×C11—82no—
614C23×C11—82no—
615C23×C11—82no—
616C23×C11—82no—
617C23×C11C2×#4112yes—
618C23×C11C2×#4112yes—
619C23×C11C2×#4112yes—
620C23×C11C2×#4112yes—
621C23×C11C2511yescharacteristic
622Q8×C11—44no—
623D4×C11—44no—
624D4×C11—44no—
625D4×C11—44no—
626D4×C11—44no—
627D4×C11—44no—
628D4×C11—44no—
629D4×C11—82no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—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—44no—
702C2×C4×C11—44no—
703C2×C4×C11—44no—
704C2×C4×C11—44no—
705C2×C4×C11—44no—
706C2×C4×C11—82no—
707C2×C4×C11—82no—
708C2×C4×C11—82no—
709C2×C4×C11—82no—
710C2×C4×C11—82no—
711C2×C4×C11C2×#4112yes—
712C2×C4×C11C2×#4112yes—
713C2×C4×C11C2×#4112yes—
714C2×C4×C11C2×#4112yes—
715C2×C4×C11C2×#4112yes—
716C2×C4×C11H(5,𝔽2)12yes—
717C2×C4×C11H(5,𝔽2)12yes—
718C2×#126C22×C1111yescharacteristic, complemented
719C2×#124C22×C1111yescharacteristic
720C2×#123C22×C1111yescharacteristic
721C2×#123C22×C1111yescharacteristic
722C2×C22⋊Q8C22×C1111yescharacteristic
723C2×#121C22×C1111yescharacteristic
724C2×#120C22×C1111yescharacteristic
725C2×#120C22×C1111yescharacteristic
726C2×C4×Q8C22×C1111yescharacteristic, complemented
727C2×C4×D4C22×C1111yescharacteristic
728C2×C4×D4C22×C1111yescharacteristic
729C2×C4×D4C22×C1111yescharacteristic
730C2×C4×D4C22×C1111yescharacteristic
731C2×C4×D4C22×C1111yescharacteristic
732C2×C4×D4C22×C1111yescharacteristic, complemented
733C2×#117C22×C1111yescharacteristic
734C2×#117C22×C1111yescharacteristic
735C22×C22⋊C4C22×C1111yescharacteristic
736C22×C22⋊C4C22×C1111yescharacteristic
737C22×C22⋊C4C22×C1111yescharacteristic
738C22×C42C22×C1111yescharacteristic, complemented
739#401C22×C1111yescharacteristic, complemented
740#400C22×C1111yescharacteristic, complemented
741#400C22×C1111yescharacteristic, complemented
742#400C22×C1111yescharacteristic, complemented
743#399C22×C1111yescharacteristic
744#399C22×C1111yescharacteristic
745#399C22×C1111yescharacteristic, complemented
746#398C22×C1111yescharacteristic, complemented
747#398C22×C1111yescharacteristic, complemented
748#398C22×C1111yescharacteristic, complemented
749#398C22×C1111yescharacteristic, complemented
750#397C22×C1111yescharacteristic
751#397C22×C1111yescharacteristic
752#397C22×C1111yescharacteristic
753#397C22×C1111yescharacteristic
754#397C22×C1111yescharacteristic, complemented
755#396C22×C1111yescharacteristic
756#396C22×C1111yescharacteristic
757#396C22×C1111yescharacteristic
758#396C22×C1111yescharacteristic, complemented
759#394C22×C1111yescharacteristic
760#394C22×C1111yescharacteristic
761#394C22×C1111yescharacteristic
762#394C22×C1111yescharacteristic
763#394C22×C1111yescharacteristic
764#394C22×C1111yescharacteristic
765#394C22×C1111yescharacteristic, complemented
766#394C22×C1111yescharacteristic, complemented
767#393C22×C1111yescharacteristic
768#393C22×C1111yescharacteristic, complemented
769#392C22×C1111yescharacteristic
770#392C22×C1111yescharacteristic
771#391C22×C1111yescharacteristic, complemented
772#391C22×C1111yescharacteristic, complemented
773#390C22×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
792#388C22×C1111yescharacteristic
793#388C22×C1111yescharacteristic
794#388C22×C1111yescharacteristic
795#388C22×C1111yescharacteristic
796#388C22×C1111yescharacteristic
797#388C22×C1111yescharacteristic
798#388C22×C1111yescharacteristic
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#387C22×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#386C22×C1111yescharacteristic
820#386C22×C1111yescharacteristic
821#386C22×C1111yescharacteristic
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, complemented
831#385C22×C1111yescharacteristic
832#385C22×C1111yescharacteristic
833#385C22×C1111yescharacteristic
834#385C22×C1111yescharacteristic
835#385C22×C1111yescharacteristic
836#385C22×C1111yescharacteristic
837#385C22×C1111yescharacteristic
838#385C22×C1111yescharacteristic
839#385C22×C1111yescharacteristic, complemented
840#385C22×C1111yescharacteristic, complemented
841#385C22×C1111yescharacteristic, complemented
842#385C22×C1111yescharacteristic, complemented
843#383C22×C1111yescharacteristic, complemented
844#382C22×C1111yescharacteristic, complemented
845#381C22×C1111yescharacteristic
846#381C22×C1111yescharacteristic
847#381C22×C1111yescharacteristic
848#381C22×C1111yescharacteristic, complemented
849#381C22×C1111yescharacteristic, complemented
850#380C22×C1111yescharacteristic
851#380C22×C1111yescharacteristic
852#380C22×C1111yescharacteristic, complemented
853#379C22×C1111yescharacteristic
854#379C22×C1111yescharacteristic
855C4×C4⋊C4C22×C1111yescharacteristic, complemented
856C4×C4⋊C4C22×C1111yescharacteristic, complemented
857C4×C4⋊C4C22×C1111yescharacteristic, complemented
858C4×C4⋊C4C22×C1111yescharacteristic, complemented
859C4×C4⋊C4C22×C1111yescharacteristic, complemented
860C4×C4⋊C4C22×C1111yescharacteristic, complemented
861C4×C22⋊C4C22×C1111yescharacteristic
862C4×C22⋊C4C22×C1111yescharacteristic
863C4×C22⋊C4C22×C1111yescharacteristic
864C4×C22⋊C4C22×C1111yescharacteristic
865C4×C22⋊C4C22×C1111yescharacteristic
866C4×C22⋊C4C22×C1111yescharacteristic
867C4×C22⋊C4C22×C1111yescharacteristic
868C4×C22⋊C4C22×C1111yescharacteristic
869C4×C22⋊C4C22×C1111yescharacteristic, complemented
870C4×C22⋊C4C22×C1111yescharacteristic, complemented
871C4×C22⋊C4C22×C1111yescharacteristic, complemented
872#376C22×C1111yescharacteristic, complemented
873C22×C11—22no—
874C22×C11—22no—
875C22×C11—22no—
876C22×C11—22no—
877C22×C11—22no—
878C22×C11—22no—
879C22×C11—22no—
880C22×C11—22no—
881C22×C11—22no—
882C22×C11—22no—
883C22×C11—22no—
884C22×C11—22no—
885C22×C11—41no—
886C22×C11—41no—
887C22×C11—41no—
888C22×C11—41no—
889C22×C11—41no—
890C22×C11—41no—
891C22×C11—41no—
892C22×C11—41no—
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—88no—
909C22×C11C22×#4111yescharacteristic
910C22×C11C22×#4111yescharacteristic
911C22×C11C22×#4111yescharacteristic
912C22×C11C2×H(5,𝔽2)11yescharacteristic
913C22×C11C2×H(5,𝔽2)11yescharacteristic
914C22×C11#58511yescharacteristic
915C22×C11#58511yescharacteristic
916C4×C11—22no—
917C4×C11—22no—
918C4×C11—22no—
919C4×C11—22no—
920C4×C11—22no—
921C4×C11—22no—
922C4×C11—22no—
923C4×C11—41no—
924C4×C11—41no—
925C4×C11—41no—
926C4×C11—41no—
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—
942C25C23×C1111yescharacteristic
943C22×Q8C23×C1111yescharacteristic
944C22×D4C23×C1111yescharacteristic
945C22×D4C23×C1111yescharacteristic
946C22×D4C23×C1111yescharacteristic
947C22×D4C23×C1111yescharacteristic
948C22×D4C23×C1111yescharacteristic
949C22×D4C23×C1111yescharacteristic
950C22×D4C23×C1111yescharacteristic
951C23×C4C23×C1111yescharacteristic
952C23×C4C23×C1111yescharacteristic
953C23×C4C23×C1111yescharacteristic
954C23×C4C23×C1111yescharacteristic
955C23×C4C23×C1111yescharacteristic
956C23×C4C23×C1111yescharacteristic
957C23×C4C23×C1111yescharacteristic
958C23×C4C23×C1111yescharacteristic
959C23×C4C23×C1111yescharacteristic
960C23×C4C23×C1111yescharacteristic
961#126—42no—
962#124—24no—
963#123—24no—
964#123—24no—
965C22⋊Q8—24no—
966#121—24no—
967#120—24no—
968#120—24no—
969C4×Q8—42no—
970C4×D4—24no—
971C4×D4—42no—
972C4×D4—42no—
973C4×D4—42no—
974C4×D4—42no—
975C4×D4—42no—
976#117—42no—
977#117—42no—
978C2×C4⋊C4C23×C1111yescharacteristic
979C2×C4⋊C4C23×C1111yescharacteristic
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×C22⋊C4—24no—
1007C2×C22⋊C4—42no—
1008C2×C22⋊C4—42no—
1009C2×C22⋊C4C23×C1111yescharacteristic
1010C2×C22⋊C4C23×C1111yescharacteristic
1011C2×C22⋊C4C23×C1111yescharacteristic
1012C2×C22⋊C4C23×C1111yescharacteristic
1013C2×C22⋊C4C23×C1111yescharacteristic
1014C2×C22⋊C4C23×C1111yescharacteristic
1015C2×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×C42—42no—
1058C2×C42C23×C1111yescharacteristic
1059C2×C42C23×C1111yescharacteristic
1060C2×C42C23×C1111yescharacteristic
1061C2×C42C23×C1111yescharacteristic
1062C2×C42C23×C1111yescharacteristic
1063C2×C42C23×C1111yescharacteristic
1064C2×C42C23×C1111yescharacteristic
1065C2×C42C23×C1111yescharacteristic
1066C2×C42C23×C1111yescharacteristic
1067C2×C42C23×C1111yescharacteristic
1068C2×C42C23×C1111yescharacteristic
1069C2×C42C23×C1111yescharacteristic
1070C2×C42C23×C1111yescharacteristic
1071C2×C42C23×C1111yescharacteristic
1072C2×C42C23×C1111yescharacteristic
1073C2×C42C23×C1111yescharacteristic
1074#95C23×C1111yescharacteristic
1075#95C23×C1111yescharacteristic
1076#95C23×C1111yescharacteristic
1077#95C23×C1111yescharacteristic
1078#95C23×C1111yescharacteristic
1079#95C23×C1111yescharacteristic
1080#95C23×C1111yescharacteristic
1081#95C23×C1111yescharacteristic
1082#95C23×C1111yescharacteristic
1083#95C23×C1111yescharacteristic
1084#95C23×C1111yescharacteristic
1085#95C23×C1111yescharacteristic
1086#95C23×C1111yescharacteristic
1087#95C23×C1111yescharacteristic
1088#95C23×C1111yescharacteristic
1089#95C23×C1111yescharacteristic
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
1118C2×C11—42no—
1119C2×C11—42no—
1120C2×C11—42no—
1121C2×C11—42no—
1122C2×C11—81no—
1123C2×C11#347511yescharacteristic
1124C2×C11#348111yescharacteristic
1125C2×C11#348111yescharacteristic
1126C2×C11#350511yescharacteristic
1127C2×C11#351011yescharacteristic
1128C2×C11#351311yescharacteristic
1129C2×C11#354211yescharacteristic
1130C24—22no—
1131C24—22no—
1132C24—22no—
1133C24—41no—
1134C24—41no—
1135C24—41no—
1136C24—41no—
1137C24C24×C1111yescharacteristic
1138C24C24×C1111yescharacteristic
1139C24C24×C1111yescharacteristic
1140C24C24×C1111yescharacteristic
1141C24C24×C1111yescharacteristic
1142C2×Q8—22no—
1143C2×Q8—22no—
1144C2×Q8—41no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4C11×#4114yes—
1166C22×C4—22no—
1167C22×C4—22no—
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—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
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×C4C24×C1111yescharacteristic
1197C22×C4C24×C1111yescharacteristic
1198C22×C4C24×C1111yescharacteristic
1199C22×C4C24×C1111yescharacteristic
1200C22×C4C24×C1111yescharacteristic
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
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
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—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
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—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
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⋊C4C11×#4114yes—
1297C22⋊C4C11×#4114yes—
1298C42—22no—
1299C42—22no—
1300C42—22no—
1301C42—22no—
1302C42—22no—
1303C42—22no—
1304C42—22no—
1305C42—41no—
1306C42—41no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42—41no—
1311C42—41no—
1312C42—41no—
1313C42—41no—
1314C11#6002211yescharacteristic, direct product factor, Sylow
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
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—44no—
1347C23—44no—
1348C23—44no—
1349C23—82no—
1350C23—82no—
1351C23—82no—
1352C23—82no—
1353C23C2×C11×#4112yes—
1354C23C2×C11×#4112yes—
1355C23C2×C11×#4112yes—
1356C23C2×C11×#4112yes—
1357C23C25×C1111yescharacteristic
1358Q8—44no—
1359D4—44no—
1360D4—44no—
1361D4—44no—
1362D4—44no—
1363D4—44no—
1364D4—44no—
1365D4—82no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—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—44no—
1438C2×C4—44no—
1439C2×C4—44no—
1440C2×C4—44no—
1441C2×C4—44no—
1442C2×C4—82no—
1443C2×C4—82no—
1444C2×C4—82no—
1445C2×C4—82no—
1446C2×C4—82no—
1447C2×C4C2×C11×#4112yes—
1448C2×C4C2×C11×#4112yes—
1449C2×C4C2×C11×#4112yes—
1450C2×C4C2×C11×#4112yes—
1451C2×C4C2×C11×#4112yes—
1452C2×C4C11×H(5,𝔽2)12yes—
1453C2×C4C11×H(5,𝔽2)12yes—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—22no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—88no—
1490C22C22×C11×#4111yescharacteristic
1491C22C22×C11×#4111yescharacteristic
1492C22C22×C11×#4111yescharacteristic
1493C22C2×C11×H(5,𝔽2)11yescharacteristic
1494C22C2×C11×H(5,𝔽2)11yescharacteristic
1495C22C11×#58511yescharacteristic
1496C22C11×#58511yescharacteristic
1497C4—22no—
1498C4—22no—
1499C4—22no—
1500C4—22no—
1501C4—22no—
1502C4—22no—
1503C4—22no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C2—42no—
1524C2—42no—
1525C2—42no—
1526C2—42no—
1527C2—81no—
1528C2C11×#347511yescharacteristic
1529C2C11×#348111yescharacteristic
1530C2C11×#348111yescharacteristic
1531C2C11×#350511yescharacteristic
1532C2C11×#351011yescharacteristic
1533C2C11×#351311yescharacteristic
1534C2C11×#354211yescharacteristic
subgroupG/H
center, socleC23×C11C25
commutator, Frattini, cosocleC23C25×C11
prime radicalC11×#2678C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#2746C2semidirect
2. C11×#2701C2semidirect
3. C11×#2687C2semidirect
5. C11×#2601C2semidirect
6. C11×#2600C2semidirect
7. C11×#2598C2semidirect
8. C11×#2587C2semidirect
9. C11×#2580C2semidirect
10. C11×#2577C2semidirect
11. C11×#2576C2semidirect
12. C11×#2534C2semidirect
13. C11×#2527C2semidirect
14. C11×#2526C2semidirect
15. C11×#2522C2semidirect
16. C11×#2516C2semidirect
17. C11×#2515C2semidirect
18. C11×#2482C2semidirect
19. C11×#2472C2semidirect
20. C11×#2468C2semidirect
21. C11×#2467C2semidirect
22. C11×#2459C2semidirect
23. C11×#2374C2semidirect
24. C11×#2367C2semidirect
25. C11×#2362C2semidirect
26. C11×#2358C2semidirect
27. C11×#2358C2semidirect
28. C11×#2342C2semidirect
29. C4×C11×#123C2semidirect
30. C4×C11×#121C2semidirect
31. C11×#2290C2semidirect
32. C2×C11×#126C22semidirect
40. C2×C4×Q8×C11C22semidirect
46. C2×C4×D4×C11C22semidirect
52. C22×C42×C11C22semidirect
53. C11×#401C22semidirect
54. C11×#400C22semidirect
55. C11×#400C22semidirect
56. C11×#400C22semidirect
59. C11×#399C22semidirect
60. C11×#398C22semidirect
61. C11×#398C22semidirect
62. C11×#398C22semidirect
63. C11×#398C22semidirect
68. C11×#397C22semidirect
72. C11×#396C22semidirect
79. C11×#394C22semidirect
80. C11×#394C22semidirect
82. C11×#393C22semidirect
85. C11×#391C22semidirect
86. C11×#391C22semidirect
92. C11×#389C22semidirect
93. C11×#389C22semidirect
94. C11×#389C22semidirect
95. C11×#389C22semidirect
113. C11×#388C22semidirect
114. C11×#388C22semidirect
115. C11×#388C22semidirect
116. C11×#388C22semidirect
117. C11×#388C22semidirect
118. C11×#388C22semidirect
119. C11×#388C22semidirect
120. C11×#388C22semidirect
121. C11×#387C22semidirect
122. C11×#387C22semidirect
123. C11×#387C22semidirect
124. C11×#387C22semidirect
125. C11×#387C22semidirect
126. C11×#387C22semidirect
127. C11×#387C22semidirect
128. C11×#387C22semidirect
129. C11×#387C22semidirect
130. C11×#387C22semidirect
131. C11×#387C22semidirect
132. C11×#387C22semidirect
144. C11×#386C22semidirect
153. C11×#385C22semidirect
154. C11×#385C22semidirect
155. C11×#385C22semidirect
156. C11×#385C22semidirect
157. C11×#383C22semidirect
158. C11×#382C22semidirect
162. C11×#381C22semidirect
163. C11×#381C22semidirect
166. C11×#380C22semidirect
169. C4×C11×C4⋊C4C22semidirect
170. C4×C11×C4⋊C4C22semidirect
171. C4×C11×C4⋊C4C22semidirect
172. C4×C11×C4⋊C4C22semidirect
173. C4×C11×C4⋊C4C22semidirect
174. C4×C11×C4⋊C4C22semidirect
183. C4×C11×C22⋊C4C22semidirect
184. C4×C11×C22⋊C4C22semidirect
185. C4×C11×C22⋊C4C22semidirect
186. C11×#376C22semidirect
363. #60022C11direct (N × H)
548. #2746C2×C11semidirect
549. #2701C2×C11semidirect
550. #2687C2×C11semidirect
552. #2601C2×C11semidirect
553. #2600C2×C11semidirect
554. #2598C2×C11semidirect
555. #2587C2×C11semidirect
556. #2580C2×C11semidirect
557. #2577C2×C11semidirect
558. #2576C2×C11semidirect
559. #2534C2×C11semidirect
560. #2527C2×C11semidirect
561. #2526C2×C11semidirect
562. #2522C2×C11semidirect
563. #2516C2×C11semidirect
564. #2515C2×C11semidirect
565. #2482C2×C11semidirect
566. #2472C2×C11semidirect
567. #2468C2×C11semidirect
568. #2467C2×C11semidirect
569. #2459C2×C11semidirect
570. #2374C2×C11semidirect
571. #2367C2×C11semidirect
572. #2362C2×C11semidirect
573. #2358C2×C11semidirect
574. #2358C2×C11semidirect
575. #2342C2×C11semidirect
576. C4×#123C2×C11semidirect
577. C4×#121C2×C11semidirect
578. #2290C2×C11semidirect
718. C2×#126C22×C11semidirect
726. C2×C4×Q8C22×C11semidirect
732. C2×C4×D4C22×C11semidirect
738. C22×C42C22×C11semidirect
739. #401C22×C11semidirect
740. #400C22×C11semidirect
741. #400C22×C11semidirect
742. #400C22×C11semidirect
745. #399C22×C11semidirect
746. #398C22×C11semidirect
747. #398C22×C11semidirect
748. #398C22×C11semidirect
749. #398C22×C11semidirect
754. #397C22×C11semidirect
758. #396C22×C11semidirect
765. #394C22×C11semidirect
766. #394C22×C11semidirect
768. #393C22×C11semidirect
771. #391C22×C11semidirect
772. #391C22×C11semidirect
778. #389C22×C11semidirect
779. #389C22×C11semidirect
780. #389C22×C11semidirect
781. #389C22×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. #387C22×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
830. #386C22×C11semidirect
839. #385C22×C11semidirect
840. #385C22×C11semidirect
841. #385C22×C11semidirect
842. #385C22×C11semidirect
843. #383C22×C11semidirect
844. #382C22×C11semidirect
848. #381C22×C11semidirect
849. #381C22×C11semidirect
852. #380C22×C11semidirect
855. C4×C4⋊C4C22×C11semidirect
856. C4×C4⋊C4C22×C11semidirect
857. C4×C4⋊C4C22×C11semidirect
858. C4×C4⋊C4C22×C11semidirect
859. C4×C4⋊C4C22×C11semidirect
860. C4×C4⋊C4C22×C11semidirect
869. C4×C22⋊C4C22×C11semidirect
870. C4×C22⋊C4C22×C11semidirect
871. C4×C22⋊C4C22×C11semidirect
872. #376C22×C11semidirect
1314. C11#60022direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#27462
C11×#27012
C11×#26872
C11×#26782
C11×#26012
C11×#26002
C11×#25982
C11×#25872
C11×#25802
C11×#25772
C11×#25762
C11×#25342
C11×#25272
C11×#25262
C11×#25222
C11×#25162
C11×#25152
C11×#24822
C11×#24722
C11×#24682
C11×#24672
C11×#24592
C11×#23742
C11×#23672
C11×#23622
C11×#23582
C11×#23422
C4×C11×#1232
C4×C11×#1212
C11×#22902
#6002211