Finite Group Databasebeta

← C11×#60017 #14637210

Subgroups — C11×#60017 #14637210

Order 2816.

1586 conjugacy classes of subgroups.

The subgroup lattice has 1318 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2759C211yesmaximal, characteristic, complemented
2C11×#2758C211yesmaximal, characteristic, complemented
3C11×#2718C211yesmaximal, characteristic
4C11×#2698C211yesmaximal, characteristic, complemented
5C11×#2596C211yesmaximal, characteristic, complemented
6C11×#2595C211yesmaximal, characteristic
7C11×#2588C211yesmaximal, characteristic, complemented
8C11×#2573C211yesmaximal, characteristic, complemented
9C11×#2533C211yesmaximal, characteristic, complemented
10C11×#2532C211yesmaximal, characteristic, complemented
11C11×#2528C211yesmaximal, characteristic, complemented
12C11×#2527C211yesmaximal, characteristic, complemented
13C11×#2526C211yesmaximal, characteristic
14C11×#2525C211yesmaximal, characteristic, complemented
15C11×#2520C211yesmaximal, characteristic, complemented
16C11×#2517C211yesmaximal, characteristic, complemented
17C11×#2511C211yesmaximal, characteristic, complemented
18C11×#2488C211yesmaximal, characteristic
19C11×#2477C211yesmaximal, characteristic
20C11×#2477C211yesmaximal, characteristic
21C11×#2465C211yesmaximal, characteristic, complemented
22C11×#2465C211yesmaximal, characteristic, complemented
23C11×#2374C211yesmaximal, characteristic
24C11×#2368C211yesmaximal, characteristic, complemented
25C11×#2362C211yesmaximal, characteristic, complemented
26C11×#2362C211yesmaximal, characteristic, complemented
27C11×#2355C211yesmaximal, characteristic, complemented
28C11×#2343C211yesmaximal, characteristic, complemented
29C4×C11×#126C211yesmaximal, characteristic, complemented
30C11×#2298C211yesmaximal, characteristic, complemented
31C11×#2295C211yesmaximal, characteristic, complemented
32C2×C11×#126C2211yescharacteristic
33C2×C11×#123C2211yescharacteristic
34C2×C11×C22⋊Q8C2211yescharacteristic
35C2×C11×C22⋊Q8C2211yescharacteristic
36C2×C11×C22⋊Q8C2211yescharacteristic
37C2×C4×Q8×C11C2211yescharacteristic
38C2×C4×Q8×C11C2211yescharacteristic
39C2×C11×#117C2211yescharacteristic
40C2×C11×#117C2211yescharacteristic
41C11×#401C2211yescharacteristic
42C11×#400C2211yescharacteristic
43C11×#400C2211yescharacteristic
44C11×#400C2211yescharacteristic
45C11×#400C2211yescharacteristic
46C11×#400C2211yescharacteristic
47C11×#400C2211yescharacteristic
48C11×#400C2211yescharacteristic
49C11×#400C2211yescharacteristic
50C11×#400C2211yescharacteristic
51C11×#400C2211yescharacteristic
52C11×#400C2211yescharacteristic
53C11×#399C2211yescharacteristic
54C11×#398C2211yescharacteristic
55C11×#398C2211yescharacteristic
56C11×#398C2211yescharacteristic
57C11×#397C2211yescharacteristic
58C11×#397C2211yescharacteristic
59C11×#397C2211yescharacteristic
60C11×#397C2211yescharacteristic
61C11×#397C2211yescharacteristic
62C11×#397C2211yescharacteristic
63C11×#396C2211yescharacteristic
64C11×#396C2211yescharacteristic
65C11×#395C2211yescharacteristic
66C11×#395C2211yescharacteristic
67C11×#395C2211yescharacteristic
68C11×#394C2211yescharacteristic
69C11×#394C2211yescharacteristic
70C11×#393C2211yescharacteristic
71C11×#393C2211yescharacteristic
72C11×#393C2211yescharacteristic
73C11×#391C2211yescharacteristic
74C11×#391C2211yescharacteristic
75C11×#391C2211yescharacteristic
76C11×#391C2211yescharacteristic
77C11×#391C2211yescharacteristic
78C11×#391C2211yescharacteristic
79C11×#391C2211yescharacteristic
80C11×#391C2211yescharacteristic
81C11×#391C2211yescharacteristic
82C11×#391C2211yescharacteristic
83C11×#390C2211yescharacteristic
84C11×#389C2211yescharacteristic
85C11×#389C2211yescharacteristic
86C11×#389C2211yescharacteristic
87C11×#389C2211yescharacteristic
88C11×#389C2211yescharacteristic
89C11×#389C2211yescharacteristic
90C11×#388C2211yescharacteristic
91C11×#388C2211yescharacteristic
92C11×#388C2211yescharacteristic
93C11×#388C2211yescharacteristic
94C11×#388C2211yescharacteristic
95C11×#388C2211yescharacteristic
96C11×#388C2211yescharacteristic
97C11×#388C2211yescharacteristic
98C11×#388C2211yescharacteristic
99C11×#388C2211yescharacteristic
100C11×#388C2211yescharacteristic
101C11×#388C2211yescharacteristic
102C11×#388C2211yescharacteristic
103C11×#388C2211yescharacteristic
104C11×#388C2211yescharacteristic
105C11×#388C2211yescharacteristic
106C11×#388C2211yescharacteristic
107C11×#388C2211yescharacteristic
108C11×#388C2211yescharacteristic
109C11×#388C2211yescharacteristic
110C11×#388C2211yescharacteristic
111C11×#387C2211yescharacteristic
112C11×#387C2211yescharacteristic
113C11×#387C2211yescharacteristic
114C11×#387C2211yescharacteristic
115C11×#387C2211yescharacteristic
116C11×#387C2211yescharacteristic
117C11×#387C2211yescharacteristic
118C11×#387C2211yescharacteristic
119C11×#387C2211yescharacteristic
120C11×#387C2211yescharacteristic
121C11×#387C2211yescharacteristic
122C11×#387C2211yescharacteristic
123C11×#387C2211yescharacteristic
124C11×#387C2211yescharacteristic
125C11×#387C2211yescharacteristic
126C11×#387C2211yescharacteristic
127C11×#387C2211yescharacteristic
128C11×#387C2211yescharacteristic
129C11×#387C2211yescharacteristic
130C11×#387C2211yescharacteristic
131C11×#387C2211yescharacteristic
132C11×#387C2211yescharacteristic
133C11×#387C2211yescharacteristic
134C11×#387C2211yescharacteristic
135C11×#387C2211yescharacteristic
136C11×#387C2211yescharacteristic
137C11×#387C2211yescharacteristic
138C11×#387C2211yescharacteristic
139C11×#387C2211yescharacteristic
140C11×#387C2211yescharacteristic
141C11×#387C2211yescharacteristic
142C11×#387C2211yescharacteristic
143C11×#386C2211yescharacteristic
144C11×#386C2211yescharacteristic
145C11×#386C2211yescharacteristic
146C11×#385C2211yescharacteristic
147C11×#385C2211yescharacteristic
148C11×#385C2211yescharacteristic
149C11×#385C2211yescharacteristic
150C11×#385C2211yescharacteristic
151C11×#384C2211yescharacteristic
152C11×#383C2211yescharacteristic
153C11×#383C2211yescharacteristic
154C11×#383C2211yescharacteristic
155C11×#382C2211yescharacteristic
156C11×#382C2211yescharacteristic
157C11×#382C2211yescharacteristic
158C11×#381C2211yescharacteristic
159C11×#381C2211yescharacteristic
160C4×C11×C4⋊C4C2211yescharacteristic
161C4×C11×C4⋊C4C2211yescharacteristic
162C4×C11×C4⋊C4C2211yescharacteristic
163C4×C11×C4⋊C4C2211yescharacteristic
164C4×C11×C4⋊C4C2211yescharacteristic
165C4×C11×C4⋊C4C2211yescharacteristic
166C4×C11×C4⋊C4C2211yescharacteristic
167C4×C11×C4⋊C4C2211yescharacteristic
168C4×C11×C4⋊C4C2211yescharacteristic
169C4×C11×C4⋊C4C2211yescharacteristic
170C4×C11×C4⋊C4C2211yescharacteristic
171C4×C11×C4⋊C4C2211yescharacteristic
172C4×C11×C4⋊C4C2211yescharacteristic
173C4×C11×C22⋊C4C2211yescharacteristic
174C4×C11×C22⋊C4C2211yescharacteristic
175C4×C11×C22⋊C4C2211yescharacteristic
176C4×C11×C22⋊C4C2211yescharacteristic
177C4×C11×C22⋊C4C2211yescharacteristic
178C4×C11×C22⋊C4C2211yescharacteristic
179C4×C11×C22⋊C4C2211yescharacteristic
180C4×C11×C22⋊C4C2211yescharacteristic
181C4×C11×C22⋊C4C2211yescharacteristic
182C11×#376C2211yescharacteristic
183C11×#376C2211yescharacteristic
184C11×#376C2211yescharacteristic
185C2×C11×#95C2211yescharacteristic
186C43×C11C2211yescharacteristic
187C22×Q8×C11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C11×#126—24no—
196C11×#123—24no—
197C11×C22⋊Q8—24no—
198C11×C22⋊Q8—24no—
199C11×C22⋊Q8—24no—
200C4×Q8×C11—24no—
201C4×Q8×C11—24no—
202C11×#117—24no—
203C11×#117—24no—
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C11×C22⋊C4C2311yescharacteristic
254C2×C11×C22⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4C2311yescharacteristic
256C2×C11×C22⋊C4C2311yescharacteristic
257C2×C11×C22⋊C4C2311yescharacteristic
258C2×C11×C22⋊C4C2311yescharacteristic
259C2×C11×C22⋊C4C2311yescharacteristic
260C2×C11×C22⋊C4C2311yescharacteristic
261C2×C11×C22⋊C4C2311yescharacteristic
262C2×C11×C22⋊C4C2311yescharacteristic
263C2×C11×C22⋊C4C2311yescharacteristic
264C2×C42×C11C2311yescharacteristic
265C2×C42×C11C2311yescharacteristic
266C2×C42×C11C2311yescharacteristic
267C2×C42×C11C2311yescharacteristic
268C2×C42×C11C2311yescharacteristic
269C2×C42×C11C2311yescharacteristic
270C2×C42×C11C2311yescharacteristic
271C2×C42×C11C2311yescharacteristic
272C2×C42×C11C2311yescharacteristic
273C2×C42×C11C2311yescharacteristic
274C2×C42×C11C2311yescharacteristic
275C2×C42×C11C2311yescharacteristic
276C2×C42×C11C2311yescharacteristic
277C2×C42×C11C2311yescharacteristic
278C2×C42×C11C2311yescharacteristic
279C2×C42×C11C2311yescharacteristic
280C2×C42×C11C2311yescharacteristic
281C2×C42×C11C2311yescharacteristic
282C2×C42×C11C2311yescharacteristic
283C2×C42×C11C2311yescharacteristic
284C2×C42×C11C2311yescharacteristic
285C2×C42×C11C2311yescharacteristic
286C2×C42×C11C2311yescharacteristic
287C11×#95C2311yescharacteristic
288C11×#95C2311yescharacteristic
289C11×#95C2311yescharacteristic
290C11×#95C2311yescharacteristic
291C11×#95C2311yescharacteristic
292C11×#95C2311yescharacteristic
293C11×#95C2311yescharacteristic
294C11×#95C2311yescharacteristic
295C11×#95C2311yescharacteristic
296C11×#95C2311yescharacteristic
297C11×#95C2311yescharacteristic
298C11×#95C2311yescharacteristic
299C11×#95C2311yescharacteristic
300C11×#95C2311yescharacteristic
301C11×#95C2311yescharacteristic
302C11×#95C2311yescharacteristic
303C11×#95C2311yescharacteristic
304C11×#95C2311yescharacteristic
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11×#95C2311yescharacteristic
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11×#95C2311yescharacteristic
339C11×#95C2311yescharacteristic
340C11×#95C2311yescharacteristic
341C11×#95C2311yescharacteristic
342C11×#95C2311yescharacteristic
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
351#60017C1111yesmaximal, characteristic, direct product factor, Sylow
352C24×C11C2411yescharacteristic
353C24×C11C2411yescharacteristic
354C2×Q8×C11—22no—
355C2×Q8×C11—22no—
356C2×Q8×C11—22no—
357C2×Q8×C11—22no—
358C2×Q8×C11—22no—
359C2×Q8×C11—41no—
360C2×Q8×C11—41no—
361C2×Q8×C11—41no—
362C2×Q8×C11—41no—
363C2×D4×C11—22no—
364C2×D4×C11—41no—
365C2×D4×C11—41no—
366C22×C4×C11—22no—
367C22×C4×C11—22no—
368C22×C4×C11—22no—
369C22×C4×C11—22no—
370C22×C4×C11—22no—
371C22×C4×C11—22no—
372C22×C4×C11—41no—
373C22×C4×C11—41no—
374C22×C4×C11—41no—
375C22×C4×C11—41no—
376C22×C4×C11—41no—
377C22×C4×C11—41no—
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C11×C4⋊C4—22no—
408C11×C4⋊C4—22no—
409C11×C4⋊C4—22no—
410C11×C4⋊C4—22no—
411C11×C4⋊C4—22no—
412C11×C4⋊C4—22no—
413C11×C4⋊C4—22no—
414C11×C4⋊C4—22no—
415C11×C4⋊C4—22no—
416C11×C4⋊C4—22no—
417C11×C4⋊C4—22no—
418C11×C4⋊C4—22no—
419C11×C4⋊C4—22no—
420C11×C4⋊C4—22no—
421C11×C4⋊C4—22no—
422C11×C4⋊C4—22no—
423C11×C4⋊C4—22no—
424C11×C4⋊C4—22no—
425C11×C4⋊C4—22no—
426C11×C4⋊C4—22no—
427C11×C4⋊C4—41no—
428C11×C4⋊C4—41no—
429C11×C4⋊C4—41no—
430C11×C4⋊C4—41no—
431C11×C4⋊C4—41no—
432C11×C4⋊C4—41no—
433C11×C4⋊C4—41no—
434C11×C4⋊C4—41no—
435C11×C4⋊C4—41no—
436C11×C4⋊C4—41no—
437C11×C4⋊C4—41no—
438C11×C4⋊C4—41no—
439C11×C4⋊C4—41no—
440C11×C4⋊C4—41no—
441C11×C4⋊C4#4114yes—
442C11×C4⋊C4#4114yes—
443C11×C22⋊C4—22no—
444C11×C22⋊C4—22no—
445C11×C22⋊C4—22no—
446C11×C22⋊C4—22no—
447C11×C22⋊C4—22no—
448C11×C22⋊C4—22no—
449C11×C22⋊C4—22no—
450C11×C22⋊C4—22no—
451C11×C22⋊C4—22no—
452C11×C22⋊C4—22no—
453C11×C22⋊C4—22no—
454C11×C22⋊C4—22no—
455C11×C22⋊C4—22no—
456C11×C22⋊C4—22no—
457C11×C22⋊C4—22no—
458C11×C22⋊C4—41no—
459C11×C22⋊C4—41no—
460C11×C22⋊C4—41no—
461C11×C22⋊C4—41no—
462C11×C22⋊C4—41no—
463C11×C22⋊C4—41no—
464C11×C22⋊C4—41no—
465C11×C22⋊C4—41no—
466C11×C22⋊C4#4114yes—
467C42×C11—22no—
468C42×C11—22no—
469C42×C11—22no—
470C42×C11—22no—
471C42×C11—22no—
472C42×C11—22no—
473C42×C11—22no—
474C42×C11—22no—
475C42×C11—22no—
476C42×C11—22no—
477C42×C11—22no—
478C42×C11—22no—
479C42×C11—41no—
480C42×C11—41no—
481C42×C11—41no—
482C42×C11—41no—
483C42×C11—41no—
484C42×C11—41no—
485C42×C11—41no—
486C42×C11—41no—
487C42×C11—41no—
488C42×C11—41no—
489C42×C11—41no—
490#2759C2×C1111yescharacteristic, complemented
491#2758C2×C1111yescharacteristic, complemented
492#2718C2×C1111yescharacteristic
493#2698C2×C1111yescharacteristic, complemented
494#2596C2×C1111yescharacteristic, complemented
495#2595C2×C1111yescharacteristic
496#2588C2×C1111yescharacteristic, complemented
497#2573C2×C1111yescharacteristic, complemented
498#2533C2×C1111yescharacteristic, complemented
499#2532C2×C1111yescharacteristic, complemented
500#2528C2×C1111yescharacteristic, complemented
501#2527C2×C1111yescharacteristic, complemented
502#2526C2×C1111yescharacteristic
503#2525C2×C1111yescharacteristic, complemented
504#2520C2×C1111yescharacteristic, complemented
505#2517C2×C1111yescharacteristic, complemented
506#2511C2×C1111yescharacteristic, complemented
507#2488C2×C1111yescharacteristic
508#2477C2×C1111yescharacteristic
509#2477C2×C1111yescharacteristic
510#2465C2×C1111yescharacteristic, complemented
511#2465C2×C1111yescharacteristic, complemented
512#2374C2×C1111yescharacteristic
513#2368C2×C1111yescharacteristic, complemented
514#2362C2×C1111yescharacteristic, complemented
515#2362C2×C1111yescharacteristic, complemented
516#2355C2×C1111yescharacteristic, complemented
517#2343C2×C1111yescharacteristic, complemented
518C4×#126C2×C1111yescharacteristic, complemented
519#2298C2×C1111yescharacteristic, complemented
520#2295C2×C1111yescharacteristic, complemented
521C23×C11—21no—
522C23×C11—21no—
523C23×C11—21no—
524C23×C11—21no—
525C23×C11—21no—
526C23×C11—21no—
527C23×C11—21no—
528C23×C11—21no—
529C23×C11—21no—
530C23×C11—21no—
531C23×C11—21no—
532C23×C11—21no—
533C23×C11—21no—
534C23×C11C2×#4112yes—
535C23×C11C2511yescharacteristic
536Q8×C11—44no—
537Q8×C11—44no—
538Q8×C11—82no—
539D4×C11—82no—
540C2×C4×C11—21no—
541C2×C4×C11—21no—
542C2×C4×C11—21no—
543C2×C4×C11—21no—
544C2×C4×C11—21no—
545C2×C4×C11—21no—
546C2×C4×C11—21no—
547C2×C4×C11—21no—
548C2×C4×C11—21no—
549C2×C4×C11—21no—
550C2×C4×C11—21no—
551C2×C4×C11—21no—
552C2×C4×C11—21no—
553C2×C4×C11—21no—
554C2×C4×C11—21no—
555C2×C4×C11—21no—
556C2×C4×C11—21no—
557C2×C4×C11—21no—
558C2×C4×C11—21no—
559C2×C4×C11—21no—
560C2×C4×C11—21no—
561C2×C4×C11—21no—
562C2×C4×C11—21no—
563C2×C4×C11—21no—
564C2×C4×C11—21no—
565C2×C4×C11—21no—
566C2×C4×C11—21no—
567C2×C4×C11—21no—
568C2×C4×C11—21no—
569C2×C4×C11—21no—
570C2×C4×C11—21no—
571C2×C4×C11—21no—
572C2×C4×C11—21no—
573C2×C4×C11—21no—
574C2×C4×C11—21no—
575C2×C4×C11—21no—
576C2×C4×C11—21no—
577C2×C4×C11—21no—
578C2×C4×C11—21no—
579C2×C4×C11—21no—
580C2×C4×C11—21no—
581C2×C4×C11—21no—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—44no—
619C2×C4×C11—44no—
620C2×C4×C11—82no—
621C2×C4×C11—82no—
622C2×C4×C11C2×#4112yes—
623C2×C4×C11C2×#4112yes—
624C2×C4×C11C2×#4112yes—
625C2×C4×C11C2×#4112yes—
626C2×C4×C11C2×#4112yes—
627C2×C4×C11C2×#4112yes—
628C2×C4×C11C2×#4112yes—
629C2×C4×C11C2×#4112yes—
630C2×C4×C112−1+412yes—
631C2×#126C22×C1111yescharacteristic
632C2×#123C22×C1111yescharacteristic
633C2×C22⋊Q8C22×C1111yescharacteristic
634C2×C22⋊Q8C22×C1111yescharacteristic
635C2×C22⋊Q8C22×C1111yescharacteristic
636C2×C4×Q8C22×C1111yescharacteristic
637C2×C4×Q8C22×C1111yescharacteristic
638C2×#117C22×C1111yescharacteristic
639C2×#117C22×C1111yescharacteristic
640#401C22×C1111yescharacteristic
641#400C22×C1111yescharacteristic
642#400C22×C1111yescharacteristic
643#400C22×C1111yescharacteristic
644#400C22×C1111yescharacteristic
645#400C22×C1111yescharacteristic
646#400C22×C1111yescharacteristic
647#400C22×C1111yescharacteristic
648#400C22×C1111yescharacteristic
649#400C22×C1111yescharacteristic
650#400C22×C1111yescharacteristic
651#400C22×C1111yescharacteristic
652#399C22×C1111yescharacteristic
653#398C22×C1111yescharacteristic
654#398C22×C1111yescharacteristic
655#398C22×C1111yescharacteristic
656#397C22×C1111yescharacteristic
657#397C22×C1111yescharacteristic
658#397C22×C1111yescharacteristic
659#397C22×C1111yescharacteristic
660#397C22×C1111yescharacteristic
661#397C22×C1111yescharacteristic
662#396C22×C1111yescharacteristic
663#396C22×C1111yescharacteristic
664#395C22×C1111yescharacteristic
665#395C22×C1111yescharacteristic
666#395C22×C1111yescharacteristic
667#394C22×C1111yescharacteristic
668#394C22×C1111yescharacteristic
669#393C22×C1111yescharacteristic
670#393C22×C1111yescharacteristic
671#393C22×C1111yescharacteristic
672#391C22×C1111yescharacteristic
673#391C22×C1111yescharacteristic
674#391C22×C1111yescharacteristic
675#391C22×C1111yescharacteristic
676#391C22×C1111yescharacteristic
677#391C22×C1111yescharacteristic
678#391C22×C1111yescharacteristic
679#391C22×C1111yescharacteristic
680#391C22×C1111yescharacteristic
681#391C22×C1111yescharacteristic
682#390C22×C1111yescharacteristic
683#389C22×C1111yescharacteristic
684#389C22×C1111yescharacteristic
685#389C22×C1111yescharacteristic
686#389C22×C1111yescharacteristic
687#389C22×C1111yescharacteristic
688#389C22×C1111yescharacteristic
689#388C22×C1111yescharacteristic
690#388C22×C1111yescharacteristic
691#388C22×C1111yescharacteristic
692#388C22×C1111yescharacteristic
693#388C22×C1111yescharacteristic
694#388C22×C1111yescharacteristic
695#388C22×C1111yescharacteristic
696#388C22×C1111yescharacteristic
697#388C22×C1111yescharacteristic
698#388C22×C1111yescharacteristic
699#388C22×C1111yescharacteristic
700#388C22×C1111yescharacteristic
701#388C22×C1111yescharacteristic
702#388C22×C1111yescharacteristic
703#388C22×C1111yescharacteristic
704#388C22×C1111yescharacteristic
705#388C22×C1111yescharacteristic
706#388C22×C1111yescharacteristic
707#388C22×C1111yescharacteristic
708#388C22×C1111yescharacteristic
709#388C22×C1111yescharacteristic
710#387C22×C1111yescharacteristic
711#387C22×C1111yescharacteristic
712#387C22×C1111yescharacteristic
713#387C22×C1111yescharacteristic
714#387C22×C1111yescharacteristic
715#387C22×C1111yescharacteristic
716#387C22×C1111yescharacteristic
717#387C22×C1111yescharacteristic
718#387C22×C1111yescharacteristic
719#387C22×C1111yescharacteristic
720#387C22×C1111yescharacteristic
721#387C22×C1111yescharacteristic
722#387C22×C1111yescharacteristic
723#387C22×C1111yescharacteristic
724#387C22×C1111yescharacteristic
725#387C22×C1111yescharacteristic
726#387C22×C1111yescharacteristic
727#387C22×C1111yescharacteristic
728#387C22×C1111yescharacteristic
729#387C22×C1111yescharacteristic
730#387C22×C1111yescharacteristic
731#387C22×C1111yescharacteristic
732#387C22×C1111yescharacteristic
733#387C22×C1111yescharacteristic
734#387C22×C1111yescharacteristic
735#387C22×C1111yescharacteristic
736#387C22×C1111yescharacteristic
737#387C22×C1111yescharacteristic
738#387C22×C1111yescharacteristic
739#387C22×C1111yescharacteristic
740#387C22×C1111yescharacteristic
741#387C22×C1111yescharacteristic
742#386C22×C1111yescharacteristic
743#386C22×C1111yescharacteristic
744#386C22×C1111yescharacteristic
745#385C22×C1111yescharacteristic
746#385C22×C1111yescharacteristic
747#385C22×C1111yescharacteristic
748#385C22×C1111yescharacteristic
749#385C22×C1111yescharacteristic
750#384C22×C1111yescharacteristic
751#383C22×C1111yescharacteristic
752#383C22×C1111yescharacteristic
753#383C22×C1111yescharacteristic
754#382C22×C1111yescharacteristic
755#382C22×C1111yescharacteristic
756#382C22×C1111yescharacteristic
757#381C22×C1111yescharacteristic
758#381C22×C1111yescharacteristic
759C4×C4⋊C4C22×C1111yescharacteristic
760C4×C4⋊C4C22×C1111yescharacteristic
761C4×C4⋊C4C22×C1111yescharacteristic
762C4×C4⋊C4C22×C1111yescharacteristic
763C4×C4⋊C4C22×C1111yescharacteristic
764C4×C4⋊C4C22×C1111yescharacteristic
765C4×C4⋊C4C22×C1111yescharacteristic
766C4×C4⋊C4C22×C1111yescharacteristic
767C4×C4⋊C4C22×C1111yescharacteristic
768C4×C4⋊C4C22×C1111yescharacteristic
769C4×C4⋊C4C22×C1111yescharacteristic
770C4×C4⋊C4C22×C1111yescharacteristic
771C4×C4⋊C4C22×C1111yescharacteristic
772C4×C22⋊C4C22×C1111yescharacteristic
773C4×C22⋊C4C22×C1111yescharacteristic
774C4×C22⋊C4C22×C1111yescharacteristic
775C4×C22⋊C4C22×C1111yescharacteristic
776C4×C22⋊C4C22×C1111yescharacteristic
777C4×C22⋊C4C22×C1111yescharacteristic
778C4×C22⋊C4C22×C1111yescharacteristic
779C4×C22⋊C4C22×C1111yescharacteristic
780C4×C22⋊C4C22×C1111yescharacteristic
781#376C22×C1111yescharacteristic
782#376C22×C1111yescharacteristic
783#376C22×C1111yescharacteristic
784C2×#95C22×C1111yescharacteristic
785C43C22×C1111yescharacteristic
786C22×C11—22no—
787C22×C11—22no—
788C22×C11—22no—
789C22×C11—41no—
790C22×C11—41no—
791C22×C11—41no—
792C22×C11—41no—
793C22×C11—41no—
794C22×C11—41no—
795C22×C11—41no—
796C22×C11—41no—
797C22×C11—41no—
798C22×C11—41no—
799C22×C11—41no—
800C22×C11C22×#4111yescharacteristic
801C22×C11C22×#4111yescharacteristic
802C22×C11C22×#4111yescharacteristic
803C22×C11C2×2−1+411yescharacteristic
804C22×C11#58511yescharacteristic
805C22×C11#58511yescharacteristic
806C22×C11#58511yescharacteristic
807C4×C11—22no—
808C4×C11—22no—
809C4×C11—22no—
810C4×C11—22no—
811C4×C11—22no—
812C4×C11—22no—
813C4×C11—22no—
814C4×C11—22no—
815C4×C11—22no—
816C4×C11—41no—
817C4×C11—41no—
818C4×C11—41no—
819C4×C11—41no—
820C4×C11—41no—
821C4×C11—41no—
822C4×C11—41no—
823C4×C11—41no—
824C4×C11—41no—
825C4×C11—41no—
826C4×C11—41no—
827C4×C11—41no—
828C4×C11—41no—
829C4×C11—41no—
830C4×C11—41no—
831C4×C11—41no—
832C4×C11—41no—
833C4×C11—41no—
834C4×C11—41no—
835C4×C11—41no—
836C22×Q8C23×C1111yescharacteristic
837C22×Q8C23×C1111yescharacteristic
838C22×Q8C23×C1111yescharacteristic
839C22×D4C23×C1111yescharacteristic
840C23×C4C23×C1111yescharacteristic
841C23×C4C23×C1111yescharacteristic
842C23×C4C23×C1111yescharacteristic
843C23×C4C23×C1111yescharacteristic
844#126—24no—
845#123—24no—
846C22⋊Q8—24no—
847C22⋊Q8—24no—
848C22⋊Q8—24no—
849C4×Q8—24no—
850C4×Q8—24no—
851#117—24no—
852#117—24no—
853C2×C4⋊C4C23×C1111yescharacteristic
854C2×C4⋊C4C23×C1111yescharacteristic
855C2×C4⋊C4C23×C1111yescharacteristic
856C2×C4⋊C4C23×C1111yescharacteristic
857C2×C4⋊C4C23×C1111yescharacteristic
858C2×C4⋊C4C23×C1111yescharacteristic
859C2×C4⋊C4C23×C1111yescharacteristic
860C2×C4⋊C4C23×C1111yescharacteristic
861C2×C4⋊C4C23×C1111yescharacteristic
862C2×C4⋊C4C23×C1111yescharacteristic
863C2×C4⋊C4C23×C1111yescharacteristic
864C2×C4⋊C4C23×C1111yescharacteristic
865C2×C4⋊C4C23×C1111yescharacteristic
866C2×C4⋊C4C23×C1111yescharacteristic
867C2×C4⋊C4C23×C1111yescharacteristic
868C2×C4⋊C4C23×C1111yescharacteristic
869C2×C4⋊C4C23×C1111yescharacteristic
870C2×C4⋊C4C23×C1111yescharacteristic
871C2×C4⋊C4C23×C1111yescharacteristic
872C2×C4⋊C4C23×C1111yescharacteristic
873C2×C4⋊C4C23×C1111yescharacteristic
874C2×C4⋊C4C23×C1111yescharacteristic
875C2×C4⋊C4C23×C1111yescharacteristic
876C2×C4⋊C4C23×C1111yescharacteristic
877C2×C4⋊C4C23×C1111yescharacteristic
878C2×C4⋊C4C23×C1111yescharacteristic
879C2×C4⋊C4C23×C1111yescharacteristic
880C2×C4⋊C4C23×C1111yescharacteristic
881C2×C4⋊C4C23×C1111yescharacteristic
882C2×C4⋊C4C23×C1111yescharacteristic
883C2×C4⋊C4C23×C1111yescharacteristic
884C2×C4⋊C4C23×C1111yescharacteristic
885C2×C4⋊C4C23×C1111yescharacteristic
886C2×C4⋊C4C23×C1111yescharacteristic
887C2×C4⋊C4C23×C1111yescharacteristic
888C2×C4⋊C4C23×C1111yescharacteristic
889C2×C22⋊C4C23×C1111yescharacteristic
890C2×C22⋊C4C23×C1111yescharacteristic
891C2×C22⋊C4C23×C1111yescharacteristic
892C2×C22⋊C4C23×C1111yescharacteristic
893C2×C22⋊C4C23×C1111yescharacteristic
894C2×C22⋊C4C23×C1111yescharacteristic
895C2×C22⋊C4C23×C1111yescharacteristic
896C2×C22⋊C4C23×C1111yescharacteristic
897C2×C22⋊C4C23×C1111yescharacteristic
898C2×C22⋊C4C23×C1111yescharacteristic
899C2×C22⋊C4C23×C1111yescharacteristic
900C2×C22⋊C4C23×C1111yescharacteristic
901C2×C22⋊C4C23×C1111yescharacteristic
902C2×C22⋊C4C23×C1111yescharacteristic
903C2×C22⋊C4C23×C1111yescharacteristic
904C2×C22⋊C4C23×C1111yescharacteristic
905C2×C22⋊C4C23×C1111yescharacteristic
906C2×C22⋊C4C23×C1111yescharacteristic
907C2×C22⋊C4C23×C1111yescharacteristic
908C2×C22⋊C4C23×C1111yescharacteristic
909C2×C22⋊C4C23×C1111yescharacteristic
910C2×C22⋊C4C23×C1111yescharacteristic
911C2×C22⋊C4C23×C1111yescharacteristic
912C2×C22⋊C4C23×C1111yescharacteristic
913C2×C42C23×C1111yescharacteristic
914C2×C42C23×C1111yescharacteristic
915C2×C42C23×C1111yescharacteristic
916C2×C42C23×C1111yescharacteristic
917C2×C42C23×C1111yescharacteristic
918C2×C42C23×C1111yescharacteristic
919C2×C42C23×C1111yescharacteristic
920C2×C42C23×C1111yescharacteristic
921C2×C42C23×C1111yescharacteristic
922C2×C42C23×C1111yescharacteristic
923C2×C42C23×C1111yescharacteristic
924C2×C42C23×C1111yescharacteristic
925C2×C42C23×C1111yescharacteristic
926C2×C42C23×C1111yescharacteristic
927C2×C42C23×C1111yescharacteristic
928C2×C42C23×C1111yescharacteristic
929C2×C42C23×C1111yescharacteristic
930C2×C42C23×C1111yescharacteristic
931C2×C42C23×C1111yescharacteristic
932C2×C42C23×C1111yescharacteristic
933C2×C42C23×C1111yescharacteristic
934C2×C42C23×C1111yescharacteristic
935C2×C42C23×C1111yescharacteristic
936#95C23×C1111yescharacteristic
937#95C23×C1111yescharacteristic
938#95C23×C1111yescharacteristic
939#95C23×C1111yescharacteristic
940#95C23×C1111yescharacteristic
941#95C23×C1111yescharacteristic
942#95C23×C1111yescharacteristic
943#95C23×C1111yescharacteristic
944#95C23×C1111yescharacteristic
945#95C23×C1111yescharacteristic
946#95C23×C1111yescharacteristic
947#95C23×C1111yescharacteristic
948#95C23×C1111yescharacteristic
949#95C23×C1111yescharacteristic
950#95C23×C1111yescharacteristic
951#95C23×C1111yescharacteristic
952#95C23×C1111yescharacteristic
953#95C23×C1111yescharacteristic
954#95C23×C1111yescharacteristic
955#95C23×C1111yescharacteristic
956#95C23×C1111yescharacteristic
957#95C23×C1111yescharacteristic
958#95C23×C1111yescharacteristic
959#95C23×C1111yescharacteristic
960#95C23×C1111yescharacteristic
961#95C23×C1111yescharacteristic
962#95C23×C1111yescharacteristic
963#95C23×C1111yescharacteristic
964#95C23×C1111yescharacteristic
965#95C23×C1111yescharacteristic
966#95C23×C1111yescharacteristic
967#95C23×C1111yescharacteristic
968#95C23×C1111yescharacteristic
969#95C23×C1111yescharacteristic
970#95C23×C1111yescharacteristic
971#95C23×C1111yescharacteristic
972#95C23×C1111yescharacteristic
973#95C23×C1111yescharacteristic
974#95C23×C1111yescharacteristic
975#95C23×C1111yescharacteristic
976#95C23×C1111yescharacteristic
977#95C23×C1111yescharacteristic
978#95C23×C1111yescharacteristic
979#95C23×C1111yescharacteristic
980#95C23×C1111yescharacteristic
981#95C23×C1111yescharacteristic
982#95C23×C1111yescharacteristic
983#95C23×C1111yescharacteristic
984#95C23×C1111yescharacteristic
985#95C23×C1111yescharacteristic
986#95C23×C1111yescharacteristic
987#95C23×C1111yescharacteristic
988#95C23×C1111yescharacteristic
989#95C23×C1111yescharacteristic
990#95C23×C1111yescharacteristic
991#95C23×C1111yescharacteristic
992#95C23×C1111yescharacteristic
993#95C23×C1111yescharacteristic
994#95C23×C1111yescharacteristic
995#95C23×C1111yescharacteristic
996#95C23×C1111yescharacteristic
997#95C23×C1111yescharacteristic
998#95C23×C1111yescharacteristic
999#95C23×C1111yescharacteristic
1000C2×C11—42no—
1001C2×C11—81no—
1002C2×C11#347511yescharacteristic
1003C2×C11#347511yescharacteristic
1004C2×C11#348211yescharacteristic
1005C2×C11#351011yescharacteristic
1006C2×C11#351611yescharacteristic
1007C2×C11#352111yescharacteristic
1008C2×C11#355711yescharacteristic
1009C24C24×C1111yescharacteristic
1010C24C24×C1111yescharacteristic
1011C2×Q8—22no—
1012C2×Q8—22no—
1013C2×Q8—22no—
1014C2×Q8—22no—
1015C2×Q8—22no—
1016C2×Q8—41no—
1017C2×Q8—41no—
1018C2×Q8—41no—
1019C2×Q8—41no—
1020C2×D4—22no—
1021C2×D4—41no—
1022C2×D4—41no—
1023C22×C4—22no—
1024C22×C4—22no—
1025C22×C4—22no—
1026C22×C4—22no—
1027C22×C4—22no—
1028C22×C4—22no—
1029C22×C4—41no—
1030C22×C4—41no—
1031C22×C4—41no—
1032C22×C4—41no—
1033C22×C4—41no—
1034C22×C4—41no—
1035C22×C4C24×C1111yescharacteristic
1036C22×C4C24×C1111yescharacteristic
1037C22×C4C24×C1111yescharacteristic
1038C22×C4C24×C1111yescharacteristic
1039C22×C4C24×C1111yescharacteristic
1040C22×C4C24×C1111yescharacteristic
1041C22×C4C24×C1111yescharacteristic
1042C22×C4C24×C1111yescharacteristic
1043C22×C4C24×C1111yescharacteristic
1044C22×C4C24×C1111yescharacteristic
1045C22×C4C24×C1111yescharacteristic
1046C22×C4C24×C1111yescharacteristic
1047C22×C4C24×C1111yescharacteristic
1048C22×C4C24×C1111yescharacteristic
1049C22×C4C24×C1111yescharacteristic
1050C22×C4C24×C1111yescharacteristic
1051C22×C4C24×C1111yescharacteristic
1052C22×C4C24×C1111yescharacteristic
1053C22×C4C24×C1111yescharacteristic
1054C22×C4C24×C1111yescharacteristic
1055C22×C4C24×C1111yescharacteristic
1056C22×C4C24×C1111yescharacteristic
1057C22×C4C24×C1111yescharacteristic
1058C22×C4C24×C1111yescharacteristic
1059C22×C4C24×C1111yescharacteristic
1060C22×C4C24×C1111yescharacteristic
1061C22×C4C24×C1111yescharacteristic
1062C22×C4C24×C1111yescharacteristic
1063C22×C4C24×C1111yescharacteristic
1064C4⋊C4—22no—
1065C4⋊C4—22no—
1066C4⋊C4—22no—
1067C4⋊C4—22no—
1068C4⋊C4—22no—
1069C4⋊C4—22no—
1070C4⋊C4—22no—
1071C4⋊C4—22no—
1072C4⋊C4—22no—
1073C4⋊C4—22no—
1074C4⋊C4—22no—
1075C4⋊C4—22no—
1076C4⋊C4—22no—
1077C4⋊C4—22no—
1078C4⋊C4—22no—
1079C4⋊C4—22no—
1080C4⋊C4—22no—
1081C4⋊C4—22no—
1082C4⋊C4—22no—
1083C4⋊C4—22no—
1084C4⋊C4—41no—
1085C4⋊C4—41no—
1086C4⋊C4—41no—
1087C4⋊C4—41no—
1088C4⋊C4—41no—
1089C4⋊C4—41no—
1090C4⋊C4—41no—
1091C4⋊C4—41no—
1092C4⋊C4—41no—
1093C4⋊C4—41no—
1094C4⋊C4—41no—
1095C4⋊C4—41no—
1096C4⋊C4—41no—
1097C4⋊C4—41no—
1098C4⋊C4C11×#4114yes—
1099C4⋊C4C11×#4114yes—
1100C22⋊C4—22no—
1101C22⋊C4—22no—
1102C22⋊C4—22no—
1103C22⋊C4—22no—
1104C22⋊C4—22no—
1105C22⋊C4—22no—
1106C22⋊C4—22no—
1107C22⋊C4—22no—
1108C22⋊C4—22no—
1109C22⋊C4—22no—
1110C22⋊C4—22no—
1111C22⋊C4—22no—
1112C22⋊C4—22no—
1113C22⋊C4—22no—
1114C22⋊C4—22no—
1115C22⋊C4—41no—
1116C22⋊C4—41no—
1117C22⋊C4—41no—
1118C22⋊C4—41no—
1119C22⋊C4—41no—
1120C22⋊C4—41no—
1121C22⋊C4—41no—
1122C22⋊C4—41no—
1123C22⋊C4C11×#4114yes—
1124C42—22no—
1125C42—22no—
1126C42—22no—
1127C42—22no—
1128C42—22no—
1129C42—22no—
1130C42—22no—
1131C42—22no—
1132C42—22no—
1133C42—22no—
1134C42—22no—
1135C42—22no—
1136C42—41no—
1137C42—41no—
1138C42—41no—
1139C42—41no—
1140C42—41no—
1141C42—41no—
1142C42—41no—
1143C42—41no—
1144C42—41no—
1145C42—41no—
1146C42—41no—
1147C11#6001711yescharacteristic, direct product factor, Sylow
1148C23—21no—
1149C23—21no—
1150C23—21no—
1151C23—21no—
1152C23—21no—
1153C23—21no—
1154C23—21no—
1155C23—21no—
1156C23—21no—
1157C23—21no—
1158C23—21no—
1159C23—21no—
1160C23—21no—
1161C23C2×C11×#4112yes—
1162C23C25×C1111yescharacteristic
1163Q8—44no—
1164Q8—44no—
1165Q8—82no—
1166D4—82no—
1167C2×C4—21no—
1168C2×C4—21no—
1169C2×C4—21no—
1170C2×C4—21no—
1171C2×C4—21no—
1172C2×C4—21no—
1173C2×C4—21no—
1174C2×C4—21no—
1175C2×C4—21no—
1176C2×C4—21no—
1177C2×C4—21no—
1178C2×C4—21no—
1179C2×C4—21no—
1180C2×C4—21no—
1181C2×C4—21no—
1182C2×C4—21no—
1183C2×C4—21no—
1184C2×C4—21no—
1185C2×C4—21no—
1186C2×C4—21no—
1187C2×C4—21no—
1188C2×C4—21no—
1189C2×C4—21no—
1190C2×C4—21no—
1191C2×C4—21no—
1192C2×C4—21no—
1193C2×C4—21no—
1194C2×C4—21no—
1195C2×C4—21no—
1196C2×C4—21no—
1197C2×C4—21no—
1198C2×C4—21no—
1199C2×C4—21no—
1200C2×C4—21no—
1201C2×C4—21no—
1202C2×C4—21no—
1203C2×C4—21no—
1204C2×C4—21no—
1205C2×C4—21no—
1206C2×C4—21no—
1207C2×C4—21no—
1208C2×C4—21no—
1209C2×C4—21no—
1210C2×C4—21no—
1211C2×C4—21no—
1212C2×C4—21no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—44no—
1246C2×C4—44no—
1247C2×C4—82no—
1248C2×C4—82no—
1249C2×C4C2×C11×#4112yes—
1250C2×C4C2×C11×#4112yes—
1251C2×C4C2×C11×#4112yes—
1252C2×C4C2×C11×#4112yes—
1253C2×C4C2×C11×#4112yes—
1254C2×C4C2×C11×#4112yes—
1255C2×C4C2×C11×#4112yes—
1256C2×C4C2×C11×#4112yes—
1257C2×C4C11×2−1+412yes—
1258C22—22no—
1259C22—22no—
1260C22—22no—
1261C22—41no—
1262C22—41no—
1263C22—41no—
1264C22—41no—
1265C22—41no—
1266C22—41no—
1267C22—41no—
1268C22—41no—
1269C22—41no—
1270C22—41no—
1271C22—41no—
1272C22C22×C11×#4111yescharacteristic
1273C22C22×C11×#4111yescharacteristic
1274C22C22×C11×#4111yescharacteristic
1275C22C2×C11×2−1+411yescharacteristic
1276C22C11×#58511yescharacteristic
1277C22C11×#58511yescharacteristic
1278C22C11×#58511yescharacteristic
1279C4—22no—
1280C4—22no—
1281C4—22no—
1282C4—22no—
1283C4—22no—
1284C4—22no—
1285C4—22no—
1286C4—22no—
1287C4—22no—
1288C4—41no—
1289C4—41no—
1290C4—41no—
1291C4—41no—
1292C4—41no—
1293C4—41no—
1294C4—41no—
1295C4—41no—
1296C4—41no—
1297C4—41no—
1298C4—41no—
1299C4—41no—
1300C4—41no—
1301C4—41no—
1302C4—41no—
1303C4—41no—
1304C4—41no—
1305C4—41no—
1306C4—41no—
1307C4—41no—
1308C2—42no—
1309C2—81no—
1310C2C11×#347511yescharacteristic
1311C2C11×#347511yescharacteristic
1312C2C11×#348211yescharacteristic
1313C2C11×#351011yescharacteristic
1314C2C11×#351611yescharacteristic
1315C2C11×#352111yescharacteristic
1316C2C11×#355711yescharacteristic
subgroupG/H
center, socleC23×C11C25
commutator, Frattini, cosocleC23C25×C11
prime radicalC22×D4×C11C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#2759C2semidirect
2. C11×#2758C2semidirect
4. C11×#2698C2semidirect
5. C11×#2596C2semidirect
7. C11×#2588C2semidirect
8. C11×#2573C2semidirect
9. C11×#2533C2semidirect
10. C11×#2532C2semidirect
11. C11×#2528C2semidirect
12. C11×#2527C2semidirect
14. C11×#2525C2semidirect
15. C11×#2520C2semidirect
16. C11×#2517C2semidirect
17. C11×#2511C2semidirect
21. C11×#2465C2semidirect
22. C11×#2465C2semidirect
24. C11×#2368C2semidirect
25. C11×#2362C2semidirect
26. C11×#2362C2semidirect
27. C11×#2355C2semidirect
28. C11×#2343C2semidirect
29. C4×C11×#126C2semidirect
30. C11×#2298C2semidirect
31. C11×#2295C2semidirect
351. #60017C11direct (N × H)
490. #2759C2×C11semidirect
491. #2758C2×C11semidirect
493. #2698C2×C11semidirect
494. #2596C2×C11semidirect
496. #2588C2×C11semidirect
497. #2573C2×C11semidirect
498. #2533C2×C11semidirect
499. #2532C2×C11semidirect
500. #2528C2×C11semidirect
501. #2527C2×C11semidirect
503. #2525C2×C11semidirect
504. #2520C2×C11semidirect
505. #2517C2×C11semidirect
506. #2511C2×C11semidirect
510. #2465C2×C11semidirect
511. #2465C2×C11semidirect
513. #2368C2×C11semidirect
514. #2362C2×C11semidirect
515. #2362C2×C11semidirect
516. #2355C2×C11semidirect
517. #2343C2×C11semidirect
518. C4×#126C2×C11semidirect
519. #2298C2×C11semidirect
520. #2295C2×C11semidirect
1147. C11#60017direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#27592
C11×#27582
C11×#27182
C11×#26982
C11×#25962
C11×#25952
C11×#25882
C11×#25732
C11×#25332
C11×#25322
C11×#25282
C11×#25272
C11×#25262
C11×#25252
C11×#25202
C11×#25172
C11×#25112
C11×#24882
C11×#24772
C11×#24652
C11×#23742
C11×#23682
C11×#23622
C11×#23552
C11×#23432
C4×C11×#1262
C11×#22982
C11×#22952
#6001711