Finite Group Databasebeta

← C11×#59937 #14637130

Subgroups — C11×#59937 #14637130

Order 2816.

1546 conjugacy classes of subgroups.

The subgroup lattice has 1288 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2774C211yesmaximal, characteristic, complemented
2C11×#2763C211yesmaximal, characteristic
3C11×#2720C211yesmaximal, characteristic
4C11×#2713C211yesmaximal, characteristic, complemented
5C11×#2605C211yesmaximal, characteristic, complemented
6C11×#2605C211yesmaximal, characteristic, complemented
7C11×#2589C211yesmaximal, characteristic
8C11×#2589C211yesmaximal, characteristic
9C11×#2588C211yesmaximal, characteristic, complemented
10C11×#2587C211yesmaximal, characteristic
11C11×#2586C211yesmaximal, characteristic, complemented
12C11×#2586C211yesmaximal, characteristic, complemented
13C11×#2574C211yesmaximal, characteristic
14C11×#2520C211yesmaximal, characteristic, complemented
15C11×#2520C211yesmaximal, characteristic, complemented
16C11×#2520C211yesmaximal, characteristic, complemented
17C11×#2511C211yesmaximal, characteristic, complemented
18C11×#2509C211yesmaximal, characteristic, complemented
19C11×#2505C211yesmaximal, characteristic
20C11×#2492C211yesmaximal, characteristic
21C11×#2465C211yesmaximal, characteristic
22C11×#2465C211yesmaximal, characteristic
23C11×#2373C211yesmaximal, characteristic
24C11×#2373C211yesmaximal, characteristic
25C11×#2368C211yesmaximal, characteristic
26C11×#2368C211yesmaximal, characteristic
27C11×#2365C211yesmaximal, characteristic, complemented
28C11×#2355C211yesmaximal, characteristic, complemented
29C4×C11×#125C211yesmaximal, characteristic, complemented
30C4×C11×#126C211yesmaximal, characteristic
31C11×#2295C211yesmaximal, characteristic, complemented
32C2×C11×C4⋊Q8C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic
34C2×C11×#125C2211yescharacteristic
35C2×C11×C22⋊Q8C2211yescharacteristic
36C2×C11×C22⋊Q8C2211yescharacteristic
37C2×C4×Q8×C11C2211yescharacteristic
38C2×C4×Q8×C11C2211yescharacteristic
39C11×#400C2211yescharacteristic
40C11×#400C2211yescharacteristic
41C11×#400C2211yescharacteristic
42C11×#400C2211yescharacteristic
43C11×#400C2211yescharacteristic
44C11×#400C2211yescharacteristic
45C11×#400C2211yescharacteristic
46C11×#400C2211yescharacteristic
47C11×#400C2211yescharacteristic
48C11×#400C2211yescharacteristic
49C11×#400C2211yescharacteristic
50C11×#399C2211yescharacteristic
51C11×#398C2211yescharacteristic
52C11×#398C2211yescharacteristic
53C11×#398C2211yescharacteristic
54C11×#398C2211yescharacteristic
55C11×#398C2211yescharacteristic
56C11×#398C2211yescharacteristic
57C11×#396C2211yescharacteristic
58C11×#396C2211yescharacteristic
59C11×#395C2211yescharacteristic
60C11×#395C2211yescharacteristic
61C11×#395C2211yescharacteristic
62C11×#395C2211yescharacteristic
63C11×#395C2211yescharacteristic
64C11×#395C2211yescharacteristic
65C11×#395C2211yescharacteristic
66C11×#395C2211yescharacteristic
67C11×#395C2211yescharacteristic
68C11×#393C2211yescharacteristic
69C11×#393C2211yescharacteristic
70C11×#393C2211yescharacteristic
71C11×#391C2211yescharacteristic
72C11×#391C2211yescharacteristic
73C11×#391C2211yescharacteristic
74C11×#391C2211yescharacteristic
75C11×#391C2211yescharacteristic
76C11×#391C2211yescharacteristic
77C11×#391C2211yescharacteristic
78C11×#391C2211yescharacteristic
79C11×#391C2211yescharacteristic
80C11×#391C2211yescharacteristic
81C11×#391C2211yescharacteristic
82C11×#391C2211yescharacteristic
83C11×#391C2211yescharacteristic
84C11×#391C2211yescharacteristic
85C11×#391C2211yescharacteristic
86C11×#391C2211yescharacteristic
87C11×#391C2211yescharacteristic
88C11×#389C2211yescharacteristic
89C11×#389C2211yescharacteristic
90C11×#389C2211yescharacteristic
91C11×#389C2211yescharacteristic
92C11×#389C2211yescharacteristic
93C11×#389C2211yescharacteristic
94C11×#389C2211yescharacteristic
95C11×#389C2211yescharacteristic
96C11×#389C2211yescharacteristic
97C11×#389C2211yescharacteristic
98C11×#389C2211yescharacteristic
99C11×#388C2211yescharacteristic
100C11×#388C2211yescharacteristic
101C11×#388C2211yescharacteristic
102C11×#388C2211yescharacteristic
103C11×#388C2211yescharacteristic
104C11×#388C2211yescharacteristic
105C11×#388C2211yescharacteristic
106C11×#388C2211yescharacteristic
107C11×#388C2211yescharacteristic
108C11×#387C2211yescharacteristic
109C11×#387C2211yescharacteristic
110C11×#387C2211yescharacteristic
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×#385C2211yescharacteristic
144C11×#385C2211yescharacteristic
145C11×#385C2211yescharacteristic
146C11×#385C2211yescharacteristic
147C11×#385C2211yescharacteristic
148C11×#385C2211yescharacteristic
149C11×#385C2211yescharacteristic
150C11×#385C2211yescharacteristic
151C11×#384C2211yescharacteristic
152C11×#383C2211yescharacteristic
153C11×#382C2211yescharacteristic
154C11×#382C2211yescharacteristic
155C11×#382C2211yescharacteristic
156C11×#382C2211yescharacteristic
157C11×#380C2211yescharacteristic
158C4×C11×C4⋊C4C2211yescharacteristic
159C4×C11×C4⋊C4C2211yescharacteristic
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×C4⋊C4C2211yescharacteristic
174C4×C11×C4⋊C4C2211yescharacteristic
175C4×C11×C4⋊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
183C11×#376C2211yescharacteristic
184C11×#376C2211yescharacteristic
185C2×C11×#95C2211yescharacteristic
186C43×C11C2211yescharacteristic
187C22×Q8×C11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×Q8×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C11×C4⋊Q8—24no—
196C11×#126Q818yescomplemented
197C11×#125—24no—
198C11×C22⋊Q8—24no—
199C11×C22⋊Q8—24no—
200C4×Q8×C11—24no—
201C4×Q8×C11—24no—
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
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×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×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×C42×C11C2311yescharacteristic
260C2×C42×C11C2311yescharacteristic
261C2×C42×C11C2311yescharacteristic
262C2×C42×C11C2311yescharacteristic
263C2×C42×C11C2311yescharacteristic
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
283C11×#95C2311yescharacteristic
284C11×#95C2311yescharacteristic
285C11×#95C2311yescharacteristic
286C11×#95C2311yescharacteristic
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
349#59937C1111yesmaximal, characteristic, direct product factor, Sylow
350C24×C11C2411yescharacteristic
351C2×Q8×C11—22no—
352C2×Q8×C11—22no—
353C2×Q8×C11—22no—
354C2×Q8×C11—22no—
355C2×Q8×C11—22no—
356C2×Q8×C11—22no—
357C2×Q8×C11—41no—
358C2×Q8×C11—41no—
359C2×Q8×C11—41no—
360C2×Q8×C11—41no—
361C2×Q8×C11—41no—
362C2×Q8×C11—41no—
363C2×Q8×C11—41no—
364C2×Q8×C11—41no—
365C2×Q8×C11—41no—
366C22×C4×C11—22no—
367C22×C4×C11—22no—
368C22×C4×C11—41no—
369C22×C4×C11—41no—
370C22×C4×C11—41no—
371C22×C4×C11—41no—
372C22×C4×C11—41no—
373C22×C4×C11—41no—
374C22×C4×C11—41no—
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
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
405C11×C4⋊C4—22no—
406C11×C4⋊C4—22no—
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—41no—
422C11×C4⋊C4—41no—
423C11×C4⋊C4—41no—
424C11×C4⋊C4—41no—
425C11×C4⋊C4—41no—
426C11×C4⋊C4—41no—
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—41no—
442C11×C4⋊C4—41no—
443C11×C4⋊C4—41no—
444C11×C4⋊C4—41no—
445C11×C4⋊C4C2×Q814yes—
446C11×C4⋊C4C2×Q814yes—
447C11×C4⋊C4C2×Q814yes—
448C11×C4⋊C4#4114yes—
449C11×C4⋊C4#4114yes—
450C11×C22⋊C4—22no—
451C11×C22⋊C4—22no—
452C11×C22⋊C4—22no—
453C11×C22⋊C4—22no—
454C11×C22⋊C4—41no—
455C11×C22⋊C4—41no—
456C11×C22⋊C4—41no—
457C11×C22⋊C4—41no—
458C11×C22⋊C4—41no—
459C11×C22⋊C4C2×Q814yes—
460C11×C22⋊C4C2×Q814yes—
461C11×C22⋊C4C2×Q814yes—
462C42×C11—22no—
463C42×C11—22no—
464C42×C11—22no—
465C42×C11—22no—
466C42×C11—22no—
467C42×C11—22no—
468C42×C11—22no—
469C42×C11—22no—
470C42×C11—41no—
471C42×C11—41no—
472C42×C11—41no—
473C42×C11—41no—
474C42×C11—41no—
475C42×C11—41no—
476C42×C11—41no—
477C42×C11—41no—
478C42×C11—41no—
479C42×C11—41no—
480C42×C11—41no—
481C42×C11—41no—
482C42×C11—41no—
483C42×C11—41no—
484C42×C11—41no—
485C42×C11C2×Q814yes—
486#2774C2×C1111yescharacteristic, complemented
487#2763C2×C1111yescharacteristic
488#2720C2×C1111yescharacteristic
489#2713C2×C1111yescharacteristic, complemented
490#2605C2×C1111yescharacteristic, complemented
491#2605C2×C1111yescharacteristic, complemented
492#2589C2×C1111yescharacteristic
493#2589C2×C1111yescharacteristic
494#2588C2×C1111yescharacteristic, complemented
495#2587C2×C1111yescharacteristic
496#2586C2×C1111yescharacteristic, complemented
497#2586C2×C1111yescharacteristic, complemented
498#2574C2×C1111yescharacteristic
499#2520C2×C1111yescharacteristic, complemented
500#2520C2×C1111yescharacteristic, complemented
501#2520C2×C1111yescharacteristic, complemented
502#2511C2×C1111yescharacteristic, complemented
503#2509C2×C1111yescharacteristic, complemented
504#2505C2×C1111yescharacteristic
505#2492C2×C1111yescharacteristic
506#2465C2×C1111yescharacteristic
507#2465C2×C1111yescharacteristic
508#2373C2×C1111yescharacteristic
509#2373C2×C1111yescharacteristic
510#2368C2×C1111yescharacteristic
511#2368C2×C1111yescharacteristic
512#2365C2×C1111yescharacteristic, complemented
513#2355C2×C1111yescharacteristic, complemented
514C4×#125C2×C1111yescharacteristic, complemented
515C4×#126C2×C1111yescharacteristic
516#2295C2×C1111yescharacteristic, complemented
517C23×C11—21no—
518C23×C11—21no—
519C23×C11—21no—
520C23×C11—21no—
521C23×C11—21no—
522C23×C11—21no—
523C23×C11C22×Q812yes—
524C23×C11C2511yescharacteristic
525Q8×C11—44no—
526Q8×C11—44no—
527Q8×C11—82no—
528Q8×C11—82no—
529Q8×C11—82no—
530C2×C4×C11—21no—
531C2×C4×C11—21no—
532C2×C4×C11—21no—
533C2×C4×C11—21no—
534C2×C4×C11—21no—
535C2×C4×C11—21no—
536C2×C4×C11—21no—
537C2×C4×C11—21no—
538C2×C4×C11—21no—
539C2×C4×C11—21no—
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—82no—
609C2×C4×C11—82no—
610C2×C4×C11—82no—
611C2×C4×C11C22×Q812yes—
612C2×C4×C11C22×Q812yes—
613C2×C4×C11C22×Q812yes—
614C2×C4×C11C22×Q812yes—
615C2×C4×C11C22×Q812yes—
616C2×C4×C11C22×Q812yes—
617C2×C4×C11C2×#4112yes—
618C2×C4×C11C2×#4112yes—
619C2×C4×C11C2×#4112yes—
620C2×C4×C11C2×#4112yes—
621C2×C4×C11C2×#4112yes—
622C2×C4×C11C2×#4112yes—
623C2×C4⋊Q8C22×C1111yescharacteristic
624C2×#126C22×C1111yescharacteristic
625C2×#125C22×C1111yescharacteristic
626C2×C22⋊Q8C22×C1111yescharacteristic
627C2×C22⋊Q8C22×C1111yescharacteristic
628C2×C4×Q8C22×C1111yescharacteristic
629C2×C4×Q8C22×C1111yescharacteristic
630#400C22×C1111yescharacteristic
631#400C22×C1111yescharacteristic
632#400C22×C1111yescharacteristic
633#400C22×C1111yescharacteristic
634#400C22×C1111yescharacteristic
635#400C22×C1111yescharacteristic
636#400C22×C1111yescharacteristic
637#400C22×C1111yescharacteristic
638#400C22×C1111yescharacteristic
639#400C22×C1111yescharacteristic
640#400C22×C1111yescharacteristic
641#399C22×C1111yescharacteristic
642#398C22×C1111yescharacteristic
643#398C22×C1111yescharacteristic
644#398C22×C1111yescharacteristic
645#398C22×C1111yescharacteristic
646#398C22×C1111yescharacteristic
647#398C22×C1111yescharacteristic
648#396C22×C1111yescharacteristic
649#396C22×C1111yescharacteristic
650#395C22×C1111yescharacteristic
651#395C22×C1111yescharacteristic
652#395C22×C1111yescharacteristic
653#395C22×C1111yescharacteristic
654#395C22×C1111yescharacteristic
655#395C22×C1111yescharacteristic
656#395C22×C1111yescharacteristic
657#395C22×C1111yescharacteristic
658#395C22×C1111yescharacteristic
659#393C22×C1111yescharacteristic
660#393C22×C1111yescharacteristic
661#393C22×C1111yescharacteristic
662#391C22×C1111yescharacteristic
663#391C22×C1111yescharacteristic
664#391C22×C1111yescharacteristic
665#391C22×C1111yescharacteristic
666#391C22×C1111yescharacteristic
667#391C22×C1111yescharacteristic
668#391C22×C1111yescharacteristic
669#391C22×C1111yescharacteristic
670#391C22×C1111yescharacteristic
671#391C22×C1111yescharacteristic
672#391C22×C1111yescharacteristic
673#391C22×C1111yescharacteristic
674#391C22×C1111yescharacteristic
675#391C22×C1111yescharacteristic
676#391C22×C1111yescharacteristic
677#391C22×C1111yescharacteristic
678#391C22×C1111yescharacteristic
679#389C22×C1111yescharacteristic
680#389C22×C1111yescharacteristic
681#389C22×C1111yescharacteristic
682#389C22×C1111yescharacteristic
683#389C22×C1111yescharacteristic
684#389C22×C1111yescharacteristic
685#389C22×C1111yescharacteristic
686#389C22×C1111yescharacteristic
687#389C22×C1111yescharacteristic
688#389C22×C1111yescharacteristic
689#389C22×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#387C22×C1111yescharacteristic
700#387C22×C1111yescharacteristic
701#387C22×C1111yescharacteristic
702#387C22×C1111yescharacteristic
703#387C22×C1111yescharacteristic
704#387C22×C1111yescharacteristic
705#387C22×C1111yescharacteristic
706#387C22×C1111yescharacteristic
707#387C22×C1111yescharacteristic
708#387C22×C1111yescharacteristic
709#387C22×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#385C22×C1111yescharacteristic
735#385C22×C1111yescharacteristic
736#385C22×C1111yescharacteristic
737#385C22×C1111yescharacteristic
738#385C22×C1111yescharacteristic
739#385C22×C1111yescharacteristic
740#385C22×C1111yescharacteristic
741#385C22×C1111yescharacteristic
742#384C22×C1111yescharacteristic
743#383C22×C1111yescharacteristic
744#382C22×C1111yescharacteristic
745#382C22×C1111yescharacteristic
746#382C22×C1111yescharacteristic
747#382C22×C1111yescharacteristic
748#380C22×C1111yescharacteristic
749C4×C4⋊C4C22×C1111yescharacteristic
750C4×C4⋊C4C22×C1111yescharacteristic
751C4×C4⋊C4C22×C1111yescharacteristic
752C4×C4⋊C4C22×C1111yescharacteristic
753C4×C4⋊C4C22×C1111yescharacteristic
754C4×C4⋊C4C22×C1111yescharacteristic
755C4×C4⋊C4C22×C1111yescharacteristic
756C4×C4⋊C4C22×C1111yescharacteristic
757C4×C4⋊C4C22×C1111yescharacteristic
758C4×C4⋊C4C22×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×C22⋊C4C22×C1111yescharacteristic
768C4×C22⋊C4C22×C1111yescharacteristic
769C4×C22⋊C4C22×C1111yescharacteristic
770C4×C22⋊C4C22×C1111yescharacteristic
771C4×C22⋊C4C22×C1111yescharacteristic
772C4×C22⋊C4C22×C1111yescharacteristic
773C4×C22⋊C4C22×C1111yescharacteristic
774#376C22×C1111yescharacteristic
775#376C22×C1111yescharacteristic
776C2×#95C22×C1111yescharacteristic
777C43C22×C1111yescharacteristic
778C22×C11—22no—
779C22×C11—22no—
780C22×C11—22no—
781C22×C11—41no—
782C22×C11—41no—
783C22×C11—41no—
784C22×C11—41no—
785C22×C11C23×Q811yescharacteristic
786C22×C11C22×#4111yescharacteristic
787C22×C11C22×#4111yescharacteristic
788C22×C11#58511yescharacteristic
789C22×C11#58511yescharacteristic
790C22×C11#58511yescharacteristic
791C22×C11#58511yescharacteristic
792C4×C11—22no—
793C4×C11—22no—
794C4×C11—22no—
795C4×C11—22no—
796C4×C11—22no—
797C4×C11—22no—
798C4×C11—22no—
799C4×C11—22no—
800C4×C11—22no—
801C4×C11—22no—
802C4×C11—22no—
803C4×C11—22no—
804C4×C11—41no—
805C4×C11—41no—
806C4×C11—41no—
807C4×C11—41no—
808C4×C11—41no—
809C4×C11—41no—
810C4×C11—41no—
811C4×C11—41no—
812C4×C11—41no—
813C4×C11—41no—
814C4×C11—41no—
815C4×C11—41no—
816C4×C11—41no—
817C4×C11—41no—
818C4×C11—41no—
819C4×C11—41no—
820C4×C11—41no—
821C4×C11—41no—
822C22×Q8C23×C1111yescharacteristic
823C22×Q8C23×C1111yescharacteristic
824C22×Q8C23×C1111yescharacteristic
825C22×Q8C23×C1111yescharacteristic
826C22×Q8C23×C1111yescharacteristic
827C23×C4C23×C1111yescharacteristic
828C23×C4C23×C1111yescharacteristic
829C23×C4C23×C1111yescharacteristic
830C4⋊Q8—24no—
831#126Q8×C1118yescomplemented
832#125—24no—
833C22⋊Q8—24no—
834C22⋊Q8—24no—
835C4×Q8—24no—
836C4×Q8—24no—
837C2×C4⋊C4C23×C1111yescharacteristic
838C2×C4⋊C4C23×C1111yescharacteristic
839C2×C4⋊C4C23×C1111yescharacteristic
840C2×C4⋊C4C23×C1111yescharacteristic
841C2×C4⋊C4C23×C1111yescharacteristic
842C2×C4⋊C4C23×C1111yescharacteristic
843C2×C4⋊C4C23×C1111yescharacteristic
844C2×C4⋊C4C23×C1111yescharacteristic
845C2×C4⋊C4C23×C1111yescharacteristic
846C2×C4⋊C4C23×C1111yescharacteristic
847C2×C4⋊C4C23×C1111yescharacteristic
848C2×C4⋊C4C23×C1111yescharacteristic
849C2×C4⋊C4C23×C1111yescharacteristic
850C2×C4⋊C4C23×C1111yescharacteristic
851C2×C4⋊C4C23×C1111yescharacteristic
852C2×C4⋊C4C23×C1111yescharacteristic
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×C22⋊C4C23×C1111yescharacteristic
883C2×C22⋊C4C23×C1111yescharacteristic
884C2×C22⋊C4C23×C1111yescharacteristic
885C2×C22⋊C4C23×C1111yescharacteristic
886C2×C22⋊C4C23×C1111yescharacteristic
887C2×C22⋊C4C23×C1111yescharacteristic
888C2×C22⋊C4C23×C1111yescharacteristic
889C2×C22⋊C4C23×C1111yescharacteristic
890C2×C22⋊C4C23×C1111yescharacteristic
891C2×C22⋊C4C23×C1111yescharacteristic
892C2×C22⋊C4C23×C1111yescharacteristic
893C2×C22⋊C4C23×C1111yescharacteristic
894C2×C42C23×C1111yescharacteristic
895C2×C42C23×C1111yescharacteristic
896C2×C42C23×C1111yescharacteristic
897C2×C42C23×C1111yescharacteristic
898C2×C42C23×C1111yescharacteristic
899C2×C42C23×C1111yescharacteristic
900C2×C42C23×C1111yescharacteristic
901C2×C42C23×C1111yescharacteristic
902C2×C42C23×C1111yescharacteristic
903C2×C42C23×C1111yescharacteristic
904C2×C42C23×C1111yescharacteristic
905C2×C42C23×C1111yescharacteristic
906C2×C42C23×C1111yescharacteristic
907C2×C42C23×C1111yescharacteristic
908C2×C42C23×C1111yescharacteristic
909C2×C42C23×C1111yescharacteristic
910C2×C42C23×C1111yescharacteristic
911C2×C42C23×C1111yescharacteristic
912C2×C42C23×C1111yescharacteristic
913C2×C42C23×C1111yescharacteristic
914C2×C42C23×C1111yescharacteristic
915C2×C42C23×C1111yescharacteristic
916C2×C42C23×C1111yescharacteristic
917C2×C42C23×C1111yescharacteristic
918#95C23×C1111yescharacteristic
919#95C23×C1111yescharacteristic
920#95C23×C1111yescharacteristic
921#95C23×C1111yescharacteristic
922#95C23×C1111yescharacteristic
923#95C23×C1111yescharacteristic
924#95C23×C1111yescharacteristic
925#95C23×C1111yescharacteristic
926#95C23×C1111yescharacteristic
927#95C23×C1111yescharacteristic
928#95C23×C1111yescharacteristic
929#95C23×C1111yescharacteristic
930#95C23×C1111yescharacteristic
931#95C23×C1111yescharacteristic
932#95C23×C1111yescharacteristic
933#95C23×C1111yescharacteristic
934#95C23×C1111yescharacteristic
935#95C23×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
984C2×C11—42no—
985C2×C11#347511yescharacteristic
986C2×C11Q8×#4111yescharacteristic
987C2×C11Q8×#4111yescharacteristic
988C2×C11#350411yescharacteristic
989C2×C11#351011yescharacteristic
990C2×C11#352111yescharacteristic
991C2×C11#356811yescharacteristic
992C24C24×C1111yescharacteristic
993C2×Q8—22no—
994C2×Q8—22no—
995C2×Q8—22no—
996C2×Q8—22no—
997C2×Q8—22no—
998C2×Q8—22no—
999C2×Q8—41no—
1000C2×Q8—41no—
1001C2×Q8—41no—
1002C2×Q8—41no—
1003C2×Q8—41no—
1004C2×Q8—41no—
1005C2×Q8—41no—
1006C2×Q8—41no—
1007C2×Q8—41no—
1008C22×C4—22no—
1009C22×C4—22no—
1010C22×C4—41no—
1011C22×C4—41no—
1012C22×C4—41no—
1013C22×C4—41no—
1014C22×C4—41no—
1015C22×C4—41no—
1016C22×C4—41no—
1017C22×C4C24×C1111yescharacteristic
1018C22×C4C24×C1111yescharacteristic
1019C22×C4C24×C1111yescharacteristic
1020C22×C4C24×C1111yescharacteristic
1021C22×C4C24×C1111yescharacteristic
1022C22×C4C24×C1111yescharacteristic
1023C22×C4C24×C1111yescharacteristic
1024C22×C4C24×C1111yescharacteristic
1025C22×C4C24×C1111yescharacteristic
1026C22×C4C24×C1111yescharacteristic
1027C22×C4C24×C1111yescharacteristic
1028C22×C4C24×C1111yescharacteristic
1029C22×C4C24×C1111yescharacteristic
1030C22×C4C24×C1111yescharacteristic
1031C22×C4C24×C1111yescharacteristic
1032C22×C4C24×C1111yescharacteristic
1033C22×C4C24×C1111yescharacteristic
1034C22×C4C24×C1111yescharacteristic
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
1047C4⋊C4—22no—
1048C4⋊C4—22no—
1049C4⋊C4—22no—
1050C4⋊C4—22no—
1051C4⋊C4—22no—
1052C4⋊C4—22no—
1053C4⋊C4—22no—
1054C4⋊C4—22no—
1055C4⋊C4—22no—
1056C4⋊C4—22no—
1057C4⋊C4—22no—
1058C4⋊C4—22no—
1059C4⋊C4—22no—
1060C4⋊C4—22no—
1061C4⋊C4—22no—
1062C4⋊C4—22no—
1063C4⋊C4—41no—
1064C4⋊C4—41no—
1065C4⋊C4—41no—
1066C4⋊C4—41no—
1067C4⋊C4—41no—
1068C4⋊C4—41no—
1069C4⋊C4—41no—
1070C4⋊C4—41no—
1071C4⋊C4—41no—
1072C4⋊C4—41no—
1073C4⋊C4—41no—
1074C4⋊C4—41no—
1075C4⋊C4—41no—
1076C4⋊C4—41no—
1077C4⋊C4—41no—
1078C4⋊C4—41no—
1079C4⋊C4—41no—
1080C4⋊C4—41no—
1081C4⋊C4—41no—
1082C4⋊C4—41no—
1083C4⋊C4—41no—
1084C4⋊C4—41no—
1085C4⋊C4—41no—
1086C4⋊C4—41no—
1087C4⋊C4C2×Q8×C1114yes—
1088C4⋊C4C2×Q8×C1114yes—
1089C4⋊C4C2×Q8×C1114yes—
1090C4⋊C4C11×#4114yes—
1091C4⋊C4C11×#4114yes—
1092C22⋊C4—22no—
1093C22⋊C4—22no—
1094C22⋊C4—22no—
1095C22⋊C4—22no—
1096C22⋊C4—41no—
1097C22⋊C4—41no—
1098C22⋊C4—41no—
1099C22⋊C4—41no—
1100C22⋊C4—41no—
1101C22⋊C4C2×Q8×C1114yes—
1102C22⋊C4C2×Q8×C1114yes—
1103C22⋊C4C2×Q8×C1114yes—
1104C42—22no—
1105C42—22no—
1106C42—22no—
1107C42—22no—
1108C42—22no—
1109C42—22no—
1110C42—22no—
1111C42—22no—
1112C42—41no—
1113C42—41no—
1114C42—41no—
1115C42—41no—
1116C42—41no—
1117C42—41no—
1118C42—41no—
1119C42—41no—
1120C42—41no—
1121C42—41no—
1122C42—41no—
1123C42—41no—
1124C42—41no—
1125C42—41no—
1126C42—41no—
1127C42C2×Q8×C1114yes—
1128C11#5993711yescharacteristic, direct product factor, Sylow
1129C23—21no—
1130C23—21no—
1131C23—21no—
1132C23—21no—
1133C23—21no—
1134C23—21no—
1135C23C22×Q8×C1112yes—
1136C23C25×C1111yescharacteristic
1137Q8—44no—
1138Q8—44no—
1139Q8—82no—
1140Q8—82no—
1141Q8—82no—
1142C2×C4—21no—
1143C2×C4—21no—
1144C2×C4—21no—
1145C2×C4—21no—
1146C2×C4—21no—
1147C2×C4—21no—
1148C2×C4—21no—
1149C2×C4—21no—
1150C2×C4—21no—
1151C2×C4—21no—
1152C2×C4—21no—
1153C2×C4—21no—
1154C2×C4—21no—
1155C2×C4—21no—
1156C2×C4—21no—
1157C2×C4—21no—
1158C2×C4—21no—
1159C2×C4—21no—
1160C2×C4—21no—
1161C2×C4—21no—
1162C2×C4—21no—
1163C2×C4—21no—
1164C2×C4—21no—
1165C2×C4—21no—
1166C2×C4—21no—
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—82no—
1221C2×C4—82no—
1222C2×C4—82no—
1223C2×C4C22×Q8×C1112yes—
1224C2×C4C22×Q8×C1112yes—
1225C2×C4C22×Q8×C1112yes—
1226C2×C4C22×Q8×C1112yes—
1227C2×C4C22×Q8×C1112yes—
1228C2×C4C22×Q8×C1112yes—
1229C2×C4C2×C11×#4112yes—
1230C2×C4C2×C11×#4112yes—
1231C2×C4C2×C11×#4112yes—
1232C2×C4C2×C11×#4112yes—
1233C2×C4C2×C11×#4112yes—
1234C2×C4C2×C11×#4112yes—
1235C22—22no—
1236C22—22no—
1237C22—22no—
1238C22—41no—
1239C22—41no—
1240C22—41no—
1241C22—41no—
1242C22C23×Q8×C1111yescharacteristic
1243C22C22×C11×#4111yescharacteristic
1244C22C22×C11×#4111yescharacteristic
1245C22C11×#58511yescharacteristic
1246C22C11×#58511yescharacteristic
1247C22C11×#58511yescharacteristic
1248C22C11×#58511yescharacteristic
1249C4—22no—
1250C4—22no—
1251C4—22no—
1252C4—22no—
1253C4—22no—
1254C4—22no—
1255C4—22no—
1256C4—22no—
1257C4—22no—
1258C4—22no—
1259C4—22no—
1260C4—22no—
1261C4—41no—
1262C4—41no—
1263C4—41no—
1264C4—41no—
1265C4—41no—
1266C4—41no—
1267C4—41no—
1268C4—41no—
1269C4—41no—
1270C4—41no—
1271C4—41no—
1272C4—41no—
1273C4—41no—
1274C4—41no—
1275C4—41no—
1276C4—41no—
1277C4—41no—
1278C4—41no—
1279C2—42no—
1280C2C11×#347511yescharacteristic
1281C2Q8×C11×#4111yescharacteristic
1282C2Q8×C11×#4111yescharacteristic
1283C2C11×#350411yescharacteristic
1284C2C11×#351011yescharacteristic
1285C2C11×#352111yescharacteristic
1286C2C11×#356811yescharacteristic
subgroupG/H
center, socleC23×C11C25
commutator, Frattini, cosocleC23C25×C11
prime radicalC24×C11C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#2774C2semidirect
4. C11×#2713C2semidirect
5. C11×#2605C2semidirect
6. C11×#2605C2semidirect
9. C11×#2588C2semidirect
11. C11×#2586C2semidirect
12. C11×#2586C2semidirect
14. C11×#2520C2semidirect
15. C11×#2520C2semidirect
16. C11×#2520C2semidirect
17. C11×#2511C2semidirect
18. C11×#2509C2semidirect
27. C11×#2365C2semidirect
28. C11×#2355C2semidirect
29. C4×C11×#125C2semidirect
31. C11×#2295C2semidirect
196. C11×#126Q8semidirect
349. #59937C11direct (N × H)
486. #2774C2×C11semidirect
489. #2713C2×C11semidirect
490. #2605C2×C11semidirect
491. #2605C2×C11semidirect
494. #2588C2×C11semidirect
496. #2586C2×C11semidirect
497. #2586C2×C11semidirect
499. #2520C2×C11semidirect
500. #2520C2×C11semidirect
501. #2520C2×C11semidirect
502. #2511C2×C11semidirect
503. #2509C2×C11semidirect
512. #2365C2×C11semidirect
513. #2355C2×C11semidirect
514. C4×#125C2×C11semidirect
516. #2295C2×C11semidirect
831. #126Q8×C11semidirect
1128. C11#59937direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#27742
C11×#27632
C11×#27202
C11×#27132
C11×#26052
C11×#25892
C11×#25882
C11×#25872
C11×#25862
C11×#25742
C11×#25202
C11×#25112
C11×#25092
C11×#25052
C11×#24922
C11×#24652
C11×#23732
C11×#23682
C11×#23652
C11×#23552
C4×C11×#1252
C4×C11×#1262
C11×#22952
#5993711