Finite Group Databasebeta

← C11×#34866 #14612059

Subgroups — C11×#34866 #14612059

Order 2816.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1342 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2606C211yesmaximal, characteristic, complemented
2C11×#2604C211yesmaximal, characteristic, complemented
3C11×#2601C211yesmaximal, characteristic
4C11×#2599C211yesmaximal, characteristic, complemented
5C11×#2596C211yesmaximal, characteristic, complemented
6C11×#2590C211yesmaximal, characteristic, complemented
7C11×#2575C211yesmaximal, characteristic, complemented
8C11×#2558C211yesmaximal, characteristic
9C11×#2533C211yesmaximal, characteristic, complemented
10C11×#2529C211yesmaximal, characteristic, complemented
11C11×#2519C211yesmaximal, characteristic, complemented
12C11×#2515C211yesmaximal, characteristic, complemented
13C11×#2479C211yesmaximal, characteristic
14C11×#2475C211yesmaximal, characteristic, complemented
15C11×#2462C211yesmaximal, characteristic, complemented
16C11×#2458C211yesmaximal, characteristic
17C11×#2402C211yesmaximal, characteristic, complemented
18C11×#2396C211yesmaximal, characteristic, complemented
19C11×#2396C211yesmaximal, characteristic, complemented
20C11×#2395C211yesmaximal, characteristic
21C4×C11×#125C211yesmaximal, characteristic, complemented
22C4×C11×#125C211yesmaximal, characteristic, complemented
23C4×C11×#126C211yesmaximal, characteristic, complemented
24C4×C11×#126C211yesmaximal, characteristic, complemented
25C4×C11×#123C211yesmaximal, characteristic
26C11×#2298C211yesmaximal, characteristic, complemented
27C11×#2298C211yesmaximal, characteristic, complemented
28C11×#2296C211yesmaximal, characteristic, complemented
29C11×#2293C211yesmaximal, characteristic
30C42×Q8×C11C211yesmaximal, characteristic, complemented
31C4×C11×#117C211yesmaximal, characteristic, complemented
32C2×C11×#126C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic
34C2×C11×#125C2211yescharacteristic
35C2×C11×#125C2211yescharacteristic
36C2×C11×#123C2211yescharacteristic
37C2×C4×Q8×C11C2211yescharacteristic
38C2×C4×Q8×C11C2211yescharacteristic
39C2×C4×Q8×C11C2211yescharacteristic
40C2×C4×D4×C11C2211yescharacteristic
41C2×C11×#117C2211yescharacteristic
42C2×C11×#117C2211yescharacteristic
43C2×C11×#117C2211yescharacteristic
44C2×C11×#117C2211yescharacteristic
45C2×C11×#117C2211yescharacteristic
46C22×C42×C11C2211yescharacteristic
47C11×#400C2211yescharacteristic
48C11×#400C2211yescharacteristic
49C11×#400C2211yescharacteristic
50C11×#400C2211yescharacteristic
51C11×#400C2211yescharacteristic
52C11×#400C2211yescharacteristic
53C11×#400C2211yescharacteristic
54C11×#399C2211yescharacteristic
55C11×#399C2211yescharacteristic
56C11×#399C2211yescharacteristic
57C11×#398C2211yescharacteristic
58C11×#398C2211yescharacteristic
59C11×#398C2211yescharacteristic
60C11×#398C2211yescharacteristic
61C11×#398C2211yescharacteristic
62C11×#398C2211yescharacteristic
63C11×#398C2211yescharacteristic
64C11×#398C2211yescharacteristic
65C11×#398C2211yescharacteristic
66C11×#397C2211yescharacteristic
67C11×#397C2211yescharacteristic
68C11×#397C2211yescharacteristic
69C11×#396C2211yescharacteristic
70C11×#396C2211yescharacteristic
71C11×#396C2211yescharacteristic
72C11×#396C2211yescharacteristic
73C11×#395C2211yescharacteristic
74C11×#395C2211yescharacteristic
75C11×#394C2211yescharacteristic
76C11×#394C2211yescharacteristic
77C11×#393C2211yescharacteristic
78C11×#393C2211yescharacteristic
79C11×#390C2211yescharacteristic
80C11×#390C2211yescharacteristic
81C11×#389C2211yescharacteristic
82C11×#389C2211yescharacteristic
83C11×#389C2211yescharacteristic
84C11×#389C2211yescharacteristic
85C11×#389C2211yescharacteristic
86C11×#389C2211yescharacteristic
87C11×#389C2211yescharacteristic
88C11×#389C2211yescharacteristic
89C11×#389C2211yescharacteristic
90C11×#389C2211yescharacteristic
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×#386C2211yescharacteristic
136C11×#385C2211yescharacteristic
137C11×#385C2211yescharacteristic
138C11×#385C2211yescharacteristic
139C11×#385C2211yescharacteristic
140C11×#385C2211yescharacteristic
141C11×#383C2211yescharacteristic
142C11×#383C2211yescharacteristic
143C11×#382C2211yescharacteristic
144C11×#382C2211yescharacteristic
145C11×#381C2211yescharacteristic
146C4×C11×C4⋊C4C2211yescharacteristic
147C4×C11×C4⋊C4C2211yescharacteristic
148C4×C11×C4⋊C4C2211yescharacteristic
149C4×C11×C4⋊C4C2211yescharacteristic
150C4×C11×C4⋊C4C2211yescharacteristic
151C4×C11×C4⋊C4C2211yescharacteristic
152C4×C11×C4⋊C4C2211yescharacteristic
153C4×C11×C4⋊C4C2211yescharacteristic
154C4×C11×C4⋊C4C2211yescharacteristic
155C4×C11×C4⋊C4C2211yescharacteristic
156C4×C11×C4⋊C4C2211yescharacteristic
157C4×C11×C4⋊C4C2211yescharacteristic
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×C22⋊C4C2211yescharacteristic
171C4×C11×C22⋊C4C2211yescharacteristic
172C4×C11×C22⋊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
180C11×#376C2211yescharacteristic
181C11×#376C2211yescharacteristic
182C11×#376C2211yescharacteristic
183C43×C11C2211yescharacteristic
184C43×C11C2211yescharacteristic
185C43×C11C2211yescharacteristic
186C43×C11C2211yescharacteristic
187C22×Q8×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C11×#126—24no—
194C11×#126—24no—
195C11×#125—24no—
196C11×#125—24no—
197C11×#123—24no—
198C4×Q8×C11—24no—
199C4×Q8×C11—24no—
200C4×Q8×C11—24no—
201C4×D4×C11—24no—
202C11×#117—24no—
203C11×#117—24no—
204C11×#117—24no—
205C11×#117—24no—
206C11×#117—24no—
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×C4⋊C4C2311yescharacteristic
248C2×C11×C4⋊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×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×C42×C11—24no—
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
287C2×C42×C11C2311yescharacteristic
288C2×C42×C11C2311yescharacteristic
289C2×C42×C11C2311yescharacteristic
290C2×C42×C11C2311yescharacteristic
291C2×C42×C11C2311yescharacteristic
292C2×C42×C11C2311yescharacteristic
293C2×C42×C11C2311yescharacteristic
294C2×C42×C11C2311yescharacteristic
295C2×C42×C11C2311yescharacteristic
296C2×C42×C11C2311yescharacteristic
297C2×C42×C11C2311yescharacteristic
298C2×C42×C11C2311yescharacteristic
299C2×C42×C11C2311yescharacteristic
300C2×C42×C11C2311yescharacteristic
301C2×C42×C11C2311yescharacteristic
302C2×C42×C11C2311yescharacteristic
303C2×C42×C11C2311yescharacteristic
304C2×C42×C11C2311yescharacteristic
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
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357#34866C1111yesmaximal, characteristic, direct product factor, Sylow
358C24×C11C2411yescharacteristic
359C24×C11C2411yescharacteristic
360C2×Q8×C11—22no—
361C2×Q8×C11—22no—
362C2×Q8×C11—22no—
363C2×D4×C11—22no—
364C2×D4×C11—22no—
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—22no—
373C22×C4×C11—22no—
374C22×C4×C11—22no—
375C22×C4×C11—22no—
376C22×C4×C11—41no—
377C22×C4×C11#4114yes—
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—22no—
428C11×C4⋊C4—22no—
429C11×C4⋊C4—22no—
430C11×C4⋊C4—22no—
431C11×C4⋊C4—22no—
432C11×C4⋊C4—22no—
433C11×C4⋊C4—22no—
434C11×C4⋊C4—22no—
435C11×C4⋊C4—22no—
436C11×C4⋊C4—22no—
437C11×C4⋊C4—22no—
438C11×C4⋊C4—22no—
439C11×C4⋊C4—22no—
440C11×C4⋊C4—22no—
441C11×C4⋊C4—41no—
442C11×C4⋊C4—41no—
443C11×C4⋊C4—41no—
444C11×C4⋊C4—41no—
445C11×C4⋊C4—41no—
446C11×C4⋊C4—41no—
447C11×C4⋊C4#4114yes—
448C11×C4⋊C4#4114yes—
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—22no—
459C11×C22⋊C4—22no—
460C11×C22⋊C4—22no—
461C11×C22⋊C4—22no—
462C11×C22⋊C4—22no—
463C11×C22⋊C4—22no—
464C11×C22⋊C4—22no—
465C11×C22⋊C4—22no—
466C11×C22⋊C4—22no—
467C11×C22⋊C4—22no—
468C11×C22⋊C4—22no—
469C11×C22⋊C4—22no—
470C11×C22⋊C4—41no—
471C11×C22⋊C4—41no—
472C11×C22⋊C4—41no—
473C42×C11—22no—
474C42×C11—22no—
475C42×C11—22no—
476C42×C11—22no—
477C42×C11—22no—
478C42×C11—22no—
479C42×C11—22no—
480C42×C11—22no—
481C42×C11—22no—
482C42×C11—22no—
483C42×C11—22no—
484C42×C11—22no—
485C42×C11—22no—
486C42×C11—22no—
487C42×C11—22no—
488C42×C11—22no—
489C42×C11—22no—
490C42×C11—22no—
491C42×C11—22no—
492C42×C11—22no—
493C42×C11—22no—
494C42×C11—22no—
495C42×C11—22no—
496C42×C11—22no—
497C42×C11—22no—
498C42×C11—41no—
499C42×C11—41no—
500C42×C11—41no—
501C42×C11—41no—
502C42×C11#4114yes—
503C42×C11#4114yes—
504#2606C2×C1111yescharacteristic, complemented
505#2604C2×C1111yescharacteristic, complemented
506#2601C2×C1111yescharacteristic
507#2599C2×C1111yescharacteristic, complemented
508#2596C2×C1111yescharacteristic, complemented
509#2590C2×C1111yescharacteristic, complemented
510#2575C2×C1111yescharacteristic, complemented
511#2558C2×C1111yescharacteristic
512#2533C2×C1111yescharacteristic, complemented
513#2529C2×C1111yescharacteristic, complemented
514#2519C2×C1111yescharacteristic, complemented
515#2515C2×C1111yescharacteristic, complemented
516#2479C2×C1111yescharacteristic
517#2475C2×C1111yescharacteristic, complemented
518#2462C2×C1111yescharacteristic, complemented
519#2458C2×C1111yescharacteristic
520#2402C2×C1111yescharacteristic, complemented
521#2396C2×C1111yescharacteristic, complemented
522#2396C2×C1111yescharacteristic, complemented
523#2395C2×C1111yescharacteristic
524C4×#125C2×C1111yescharacteristic, complemented
525C4×#125C2×C1111yescharacteristic, complemented
526C4×#126C2×C1111yescharacteristic, complemented
527C4×#126C2×C1111yescharacteristic, complemented
528C4×#123C2×C1111yescharacteristic
529#2298C2×C1111yescharacteristic, complemented
530#2298C2×C1111yescharacteristic, complemented
531#2296C2×C1111yescharacteristic, complemented
532#2293C2×C1111yescharacteristic
533C42×Q8C2×C1111yescharacteristic, complemented
534C4×#117C2×C1111yescharacteristic, complemented
535C23×C11—21no—
536C23×C11—21no—
537C23×C11—21no—
538C23×C11—21no—
539C23×C11—21no—
540C23×C11—21no—
541C23×C11—21no—
542C23×C11—21no—
543C23×C11—21no—
544C23×C11—21no—
545C23×C11—21no—
546C23×C11—21no—
547C23×C11—21no—
548C23×C11C2×#4112yes—
549C23×C11C2511yescharacteristic
550Q8×C11—28no—
551D4×C11—44no—
552C2×C4×C11—28no—
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—28no—
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—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—44no—
627C2×C4×C11—44no—
628C2×C4×C11C2×#4112yes—
629C2×C4×C11C2×#4112yes—
630C2×C4×C11C2×#4112yes—
631C2×C4×C11C2×#4112yes—
632C2×C4×C11C2×#4112yes—
633C2×C4×C11C2×#4112yes—
634C2×C4×C11C2×#4112yes—
635C2×C4×C11C2×#4112yes—
636C2×C4×C11C2×#4112yes—
637C2×C4×C11C2×#4112yes—
638C2×C4×C11C2×#4112yes—
639C2×C4×C11C2×#4112yes—
640C2×C4×C11C2×#4112yes—
641C2×C4×C11C2×#4112yes—
642C2×C4×C112−1+412yes—
643C2×#126C22×C1111yescharacteristic
644C2×#126C22×C1111yescharacteristic
645C2×#125C22×C1111yescharacteristic
646C2×#125C22×C1111yescharacteristic
647C2×#123C22×C1111yescharacteristic
648C2×C4×Q8C22×C1111yescharacteristic
649C2×C4×Q8C22×C1111yescharacteristic
650C2×C4×Q8C22×C1111yescharacteristic
651C2×C4×D4C22×C1111yescharacteristic
652C2×#117C22×C1111yescharacteristic
653C2×#117C22×C1111yescharacteristic
654C2×#117C22×C1111yescharacteristic
655C2×#117C22×C1111yescharacteristic
656C2×#117C22×C1111yescharacteristic
657C22×C42C22×C1111yescharacteristic
658#400C22×C1111yescharacteristic
659#400C22×C1111yescharacteristic
660#400C22×C1111yescharacteristic
661#400C22×C1111yescharacteristic
662#400C22×C1111yescharacteristic
663#400C22×C1111yescharacteristic
664#400C22×C1111yescharacteristic
665#399C22×C1111yescharacteristic
666#399C22×C1111yescharacteristic
667#399C22×C1111yescharacteristic
668#398C22×C1111yescharacteristic
669#398C22×C1111yescharacteristic
670#398C22×C1111yescharacteristic
671#398C22×C1111yescharacteristic
672#398C22×C1111yescharacteristic
673#398C22×C1111yescharacteristic
674#398C22×C1111yescharacteristic
675#398C22×C1111yescharacteristic
676#398C22×C1111yescharacteristic
677#397C22×C1111yescharacteristic
678#397C22×C1111yescharacteristic
679#397C22×C1111yescharacteristic
680#396C22×C1111yescharacteristic
681#396C22×C1111yescharacteristic
682#396C22×C1111yescharacteristic
683#396C22×C1111yescharacteristic
684#395C22×C1111yescharacteristic
685#395C22×C1111yescharacteristic
686#394C22×C1111yescharacteristic
687#394C22×C1111yescharacteristic
688#393C22×C1111yescharacteristic
689#393C22×C1111yescharacteristic
690#390C22×C1111yescharacteristic
691#390C22×C1111yescharacteristic
692#389C22×C1111yescharacteristic
693#389C22×C1111yescharacteristic
694#389C22×C1111yescharacteristic
695#389C22×C1111yescharacteristic
696#389C22×C1111yescharacteristic
697#389C22×C1111yescharacteristic
698#389C22×C1111yescharacteristic
699#389C22×C1111yescharacteristic
700#389C22×C1111yescharacteristic
701#389C22×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#388C22×C1111yescharacteristic
711#388C22×C1111yescharacteristic
712#388C22×C1111yescharacteristic
713#388C22×C1111yescharacteristic
714#388C22×C1111yescharacteristic
715#388C22×C1111yescharacteristic
716#388C22×C1111yescharacteristic
717#388C22×C1111yescharacteristic
718#388C22×C1111yescharacteristic
719#388C22×C1111yescharacteristic
720#388C22×C1111yescharacteristic
721#388C22×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#387C22×C1111yescharacteristic
743#387C22×C1111yescharacteristic
744#387C22×C1111yescharacteristic
745#387C22×C1111yescharacteristic
746#386C22×C1111yescharacteristic
747#385C22×C1111yescharacteristic
748#385C22×C1111yescharacteristic
749#385C22×C1111yescharacteristic
750#385C22×C1111yescharacteristic
751#385C22×C1111yescharacteristic
752#383C22×C1111yescharacteristic
753#383C22×C1111yescharacteristic
754#382C22×C1111yescharacteristic
755#382C22×C1111yescharacteristic
756#381C22×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×C4⋊C4C22×C1111yescharacteristic
768C4×C4⋊C4C22×C1111yescharacteristic
769C4×C4⋊C4C22×C1111yescharacteristic
770C4×C4⋊C4C22×C1111yescharacteristic
771C4×C4⋊C4C22×C1111yescharacteristic
772C4×C4⋊C4C22×C1111yescharacteristic
773C4×C4⋊C4C22×C1111yescharacteristic
774C4×C4⋊C4C22×C1111yescharacteristic
775C4×C4⋊C4C22×C1111yescharacteristic
776C4×C4⋊C4C22×C1111yescharacteristic
777C4×C4⋊C4C22×C1111yescharacteristic
778C4×C4⋊C4C22×C1111yescharacteristic
779C4×C4⋊C4C22×C1111yescharacteristic
780C4×C4⋊C4C22×C1111yescharacteristic
781C4×C22⋊C4C22×C1111yescharacteristic
782C4×C22⋊C4C22×C1111yescharacteristic
783C4×C22⋊C4C22×C1111yescharacteristic
784C4×C22⋊C4C22×C1111yescharacteristic
785C4×C22⋊C4C22×C1111yescharacteristic
786C4×C22⋊C4C22×C1111yescharacteristic
787C4×C22⋊C4C22×C1111yescharacteristic
788C4×C22⋊C4C22×C1111yescharacteristic
789C4×C22⋊C4C22×C1111yescharacteristic
790C4×C22⋊C4C22×C1111yescharacteristic
791#376C22×C1111yescharacteristic
792#376C22×C1111yescharacteristic
793#376C22×C1111yescharacteristic
794C43C22×C1111yescharacteristic
795C43C22×C1111yescharacteristic
796C43C22×C1111yescharacteristic
797C43C22×C1111yescharacteristic
798C22×C11—22no—
799C22×C11—22no—
800C22×C11—22no—
801C22×C11—41no—
802C22×C11—41no—
803C22×C11—41no—
804C22×C11—41no—
805C22×C11—41no—
806C22×C11—41no—
807C22×C11—41no—
808C22×C11—41no—
809C22×C11—41no—
810C22×C11—41no—
811C22×C11—41no—
812C22×C11C22×#4111yescharacteristic
813C22×C11C22×#4111yescharacteristic
814C22×C11C22×#4111yescharacteristic
815C22×C11C22×#4111yescharacteristic
816C22×C11C22×#4111yescharacteristic
817C22×C11C2×2−1+411yescharacteristic
818C22×C11#58511yescharacteristic
819C4×C11—22no—
820C4×C11—22no—
821C4×C11—22no—
822C4×C11—22no—
823C4×C11—22no—
824C4×C11—22no—
825C4×C11—22no—
826C4×C11—22no—
827C4×C11—22no—
828C4×C11—22no—
829C4×C11—22no—
830C4×C11—22no—
831C4×C11—41no—
832C4×C11—41no—
833C4×C11—41no—
834C4×C11—41no—
835C4×C11—41no—
836C4×C11—41no—
837C4×C11—41no—
838C4×C11—41no—
839C4×C11—41no—
840C4×C11—41no—
841C4×C11—41no—
842C4×C11—41no—
843C4×C11—41no—
844C4×C11—41no—
845C4×C11—41no—
846C4×C11—41no—
847C4×C11#55214yes—
848C22×Q8C23×C1111yescharacteristic
849C22×D4C23×C1111yescharacteristic
850C23×C4C23×C1111yescharacteristic
851C23×C4C23×C1111yescharacteristic
852C23×C4C23×C1111yescharacteristic
853C23×C4C23×C1111yescharacteristic
854#126—24no—
855#126—24no—
856#125—24no—
857#125—24no—
858#123—24no—
859C4×Q8—24no—
860C4×Q8—24no—
861C4×Q8—24no—
862C4×D4—24no—
863#117—24no—
864#117—24no—
865#117—24no—
866#117—24no—
867#117—24no—
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×C4⋊C4C23×C1111yescharacteristic
890C2×C4⋊C4C23×C1111yescharacteristic
891C2×C4⋊C4C23×C1111yescharacteristic
892C2×C4⋊C4C23×C1111yescharacteristic
893C2×C4⋊C4C23×C1111yescharacteristic
894C2×C4⋊C4C23×C1111yescharacteristic
895C2×C4⋊C4C23×C1111yescharacteristic
896C2×C4⋊C4C23×C1111yescharacteristic
897C2×C4⋊C4C23×C1111yescharacteristic
898C2×C4⋊C4C23×C1111yescharacteristic
899C2×C4⋊C4C23×C1111yescharacteristic
900C2×C4⋊C4C23×C1111yescharacteristic
901C2×C4⋊C4C23×C1111yescharacteristic
902C2×C4⋊C4C23×C1111yescharacteristic
903C2×C4⋊C4C23×C1111yescharacteristic
904C2×C4⋊C4C23×C1111yescharacteristic
905C2×C4⋊C4C23×C1111yescharacteristic
906C2×C4⋊C4C23×C1111yescharacteristic
907C2×C4⋊C4C23×C1111yescharacteristic
908C2×C4⋊C4C23×C1111yescharacteristic
909C2×C4⋊C4C23×C1111yescharacteristic
910C2×C22⋊C4C23×C1111yescharacteristic
911C2×C22⋊C4C23×C1111yescharacteristic
912C2×C22⋊C4C23×C1111yescharacteristic
913C2×C22⋊C4C23×C1111yescharacteristic
914C2×C22⋊C4C23×C1111yescharacteristic
915C2×C22⋊C4C23×C1111yescharacteristic
916C2×C22⋊C4C23×C1111yescharacteristic
917C2×C22⋊C4C23×C1111yescharacteristic
918C2×C22⋊C4C23×C1111yescharacteristic
919C2×C22⋊C4C23×C1111yescharacteristic
920C2×C22⋊C4C23×C1111yescharacteristic
921C2×C22⋊C4C23×C1111yescharacteristic
922C2×C22⋊C4C23×C1111yescharacteristic
923C2×C22⋊C4C23×C1111yescharacteristic
924C2×C22⋊C4C23×C1111yescharacteristic
925C2×C22⋊C4C23×C1111yescharacteristic
926C2×C22⋊C4C23×C1111yescharacteristic
927C2×C22⋊C4C23×C1111yescharacteristic
928C2×C22⋊C4C23×C1111yescharacteristic
929C2×C22⋊C4C23×C1111yescharacteristic
930C2×C22⋊C4C23×C1111yescharacteristic
931C2×C22⋊C4C23×C1111yescharacteristic
932C2×C22⋊C4C23×C1111yescharacteristic
933C2×C22⋊C4C23×C1111yescharacteristic
934C2×C42—24no—
935C2×C42C23×C1111yescharacteristic
936C2×C42C23×C1111yescharacteristic
937C2×C42C23×C1111yescharacteristic
938C2×C42C23×C1111yescharacteristic
939C2×C42C23×C1111yescharacteristic
940C2×C42C23×C1111yescharacteristic
941C2×C42C23×C1111yescharacteristic
942C2×C42C23×C1111yescharacteristic
943C2×C42C23×C1111yescharacteristic
944C2×C42C23×C1111yescharacteristic
945C2×C42C23×C1111yescharacteristic
946C2×C42C23×C1111yescharacteristic
947C2×C42C23×C1111yescharacteristic
948C2×C42C23×C1111yescharacteristic
949C2×C42C23×C1111yescharacteristic
950C2×C42C23×C1111yescharacteristic
951C2×C42C23×C1111yescharacteristic
952C2×C42C23×C1111yescharacteristic
953C2×C42C23×C1111yescharacteristic
954C2×C42C23×C1111yescharacteristic
955C2×C42C23×C1111yescharacteristic
956C2×C42C23×C1111yescharacteristic
957C2×C42C23×C1111yescharacteristic
958C2×C42C23×C1111yescharacteristic
959C2×C42C23×C1111yescharacteristic
960C2×C42C23×C1111yescharacteristic
961C2×C42C23×C1111yescharacteristic
962C2×C42C23×C1111yescharacteristic
963C2×C42C23×C1111yescharacteristic
964C2×C42C23×C1111yescharacteristic
965C2×C42C23×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
1000#95C23×C1111yescharacteristic
1001#95C23×C1111yescharacteristic
1002#95C23×C1111yescharacteristic
1003#95C23×C1111yescharacteristic
1004#95C23×C1111yescharacteristic
1005#95C23×C1111yescharacteristic
1006#95C23×C1111yescharacteristic
1007#95C23×C1111yescharacteristic
1008#95C23×C1111yescharacteristic
1009#95C23×C1111yescharacteristic
1010#95C23×C1111yescharacteristic
1011#95C23×C1111yescharacteristic
1012#95C23×C1111yescharacteristic
1013#95C23×C1111yescharacteristic
1014#95C23×C1111yescharacteristic
1015#95C23×C1111yescharacteristic
1016#95C23×C1111yescharacteristic
1017#95C23×C1111yescharacteristic
1018C2×C11—42no—
1019C2×C11—81no—
1020C2×C11#344411yescharacteristic
1021C2×C11#344411yescharacteristic
1022C2×C11#346111yescharacteristic
1023C2×C11C2×#55211yescharacteristic
1024C2×C11#347511yescharacteristic
1025C2×C11#348011yescharacteristic
1026C2×C11#348211yescharacteristic
1027C24C24×C1111yescharacteristic
1028C24C24×C1111yescharacteristic
1029C2×Q8—22no—
1030C2×Q8—22no—
1031C2×Q8—22no—
1032C2×D4—22no—
1033C2×D4—22no—
1034C2×D4—41no—
1035C22×C4—22no—
1036C22×C4—22no—
1037C22×C4—22no—
1038C22×C4—22no—
1039C22×C4—22no—
1040C22×C4—22no—
1041C22×C4—22no—
1042C22×C4—22no—
1043C22×C4—22no—
1044C22×C4—22no—
1045C22×C4—41no—
1046C22×C4C11×#4114yes—
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
1064C22×C4C24×C1111yescharacteristic
1065C22×C4C24×C1111yescharacteristic
1066C22×C4C24×C1111yescharacteristic
1067C22×C4C24×C1111yescharacteristic
1068C22×C4C24×C1111yescharacteristic
1069C22×C4C24×C1111yescharacteristic
1070C22×C4C24×C1111yescharacteristic
1071C22×C4C24×C1111yescharacteristic
1072C22×C4C24×C1111yescharacteristic
1073C22×C4C24×C1111yescharacteristic
1074C22×C4C24×C1111yescharacteristic
1075C22×C4C24×C1111yescharacteristic
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—22no—
1085C4⋊C4—22no—
1086C4⋊C4—22no—
1087C4⋊C4—22no—
1088C4⋊C4—22no—
1089C4⋊C4—22no—
1090C4⋊C4—22no—
1091C4⋊C4—22no—
1092C4⋊C4—22no—
1093C4⋊C4—22no—
1094C4⋊C4—22no—
1095C4⋊C4—22no—
1096C4⋊C4—22no—
1097C4⋊C4—22no—
1098C4⋊C4—22no—
1099C4⋊C4—22no—
1100C4⋊C4—22no—
1101C4⋊C4—22no—
1102C4⋊C4—22no—
1103C4⋊C4—22no—
1104C4⋊C4—22no—
1105C4⋊C4—22no—
1106C4⋊C4—22no—
1107C4⋊C4—22no—
1108C4⋊C4—22no—
1109C4⋊C4—22no—
1110C4⋊C4—41no—
1111C4⋊C4—41no—
1112C4⋊C4—41no—
1113C4⋊C4—41no—
1114C4⋊C4—41no—
1115C4⋊C4—41no—
1116C4⋊C4C11×#4114yes—
1117C4⋊C4C11×#4114yes—
1118C22⋊C4—22no—
1119C22⋊C4—22no—
1120C22⋊C4—22no—
1121C22⋊C4—22no—
1122C22⋊C4—22no—
1123C22⋊C4—22no—
1124C22⋊C4—22no—
1125C22⋊C4—22no—
1126C22⋊C4—22no—
1127C22⋊C4—22no—
1128C22⋊C4—22no—
1129C22⋊C4—22no—
1130C22⋊C4—22no—
1131C22⋊C4—22no—
1132C22⋊C4—22no—
1133C22⋊C4—22no—
1134C22⋊C4—22no—
1135C22⋊C4—22no—
1136C22⋊C4—22no—
1137C22⋊C4—22no—
1138C22⋊C4—22no—
1139C22⋊C4—41no—
1140C22⋊C4—41no—
1141C22⋊C4—41no—
1142C42—22no—
1143C42—22no—
1144C42—22no—
1145C42—22no—
1146C42—22no—
1147C42—22no—
1148C42—22no—
1149C42—22no—
1150C42—22no—
1151C42—22no—
1152C42—22no—
1153C42—22no—
1154C42—22no—
1155C42—22no—
1156C42—22no—
1157C42—22no—
1158C42—22no—
1159C42—22no—
1160C42—22no—
1161C42—22no—
1162C42—22no—
1163C42—22no—
1164C42—22no—
1165C42—22no—
1166C42—22no—
1167C42—41no—
1168C42—41no—
1169C42—41no—
1170C42—41no—
1171C42C11×#4114yes—
1172C42C11×#4114yes—
1173C11#3486611yescharacteristic, direct product factor, Sylow
1174C23—21no—
1175C23—21no—
1176C23—21no—
1177C23—21no—
1178C23—21no—
1179C23—21no—
1180C23—21no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23C2×C11×#4112yes—
1188C23C25×C1111yescharacteristic
1189Q8—28no—
1190D4—44no—
1191C2×C4—28no—
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—28no—
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—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—44no—
1266C2×C4—44no—
1267C2×C4C2×C11×#4112yes—
1268C2×C4C2×C11×#4112yes—
1269C2×C4C2×C11×#4112yes—
1270C2×C4C2×C11×#4112yes—
1271C2×C4C2×C11×#4112yes—
1272C2×C4C2×C11×#4112yes—
1273C2×C4C2×C11×#4112yes—
1274C2×C4C2×C11×#4112yes—
1275C2×C4C2×C11×#4112yes—
1276C2×C4C2×C11×#4112yes—
1277C2×C4C2×C11×#4112yes—
1278C2×C4C2×C11×#4112yes—
1279C2×C4C2×C11×#4112yes—
1280C2×C4C2×C11×#4112yes—
1281C2×C4C11×2−1+412yes—
1282C22—22no—
1283C22—22no—
1284C22—22no—
1285C22—41no—
1286C22—41no—
1287C22—41no—
1288C22—41no—
1289C22—41no—
1290C22—41no—
1291C22—41no—
1292C22—41no—
1293C22—41no—
1294C22—41no—
1295C22—41no—
1296C22C22×C11×#4111yescharacteristic
1297C22C22×C11×#4111yescharacteristic
1298C22C22×C11×#4111yescharacteristic
1299C22C22×C11×#4111yescharacteristic
1300C22C22×C11×#4111yescharacteristic
1301C22C2×C11×2−1+411yescharacteristic
1302C22C11×#58511yescharacteristic
1303C4—22no—
1304C4—22no—
1305C4—22no—
1306C4—22no—
1307C4—22no—
1308C4—22no—
1309C4—22no—
1310C4—22no—
1311C4—22no—
1312C4—22no—
1313C4—22no—
1314C4—22no—
1315C4—41no—
1316C4—41no—
1317C4—41no—
1318C4—41no—
1319C4—41no—
1320C4—41no—
1321C4—41no—
1322C4—41no—
1323C4—41no—
1324C4—41no—
1325C4—41no—
1326C4—41no—
1327C4—41no—
1328C4—41no—
1329C4—41no—
1330C4—41no—
1331C4C11×#55214yes—
1332C2—42no—
1333C2—81no—
1334C2C11×#344411yescharacteristic
1335C2C11×#344411yescharacteristic
1336C2C11×#346111yescharacteristic
1337C2C2×C11×#55211yescharacteristic
1338C2C11×#347511yescharacteristic
1339C2C11×#348011yescharacteristic
1340C2C11×#348211yescharacteristic
subgroupG/H
centerC22×C4×C11C24
commutator, Frattini, cosocleC23C25×C11
socleC23×C11C25
prime radicalC22×D4×C11C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#2606C2semidirect
2. C11×#2604C2semidirect
4. C11×#2599C2semidirect
5. C11×#2596C2semidirect
6. C11×#2590C2semidirect
7. C11×#2575C2semidirect
9. C11×#2533C2semidirect
10. C11×#2529C2semidirect
11. C11×#2519C2semidirect
12. C11×#2515C2semidirect
14. C11×#2475C2semidirect
15. C11×#2462C2semidirect
17. C11×#2402C2semidirect
18. C11×#2396C2semidirect
19. C11×#2396C2semidirect
21. C4×C11×#125C2semidirect
22. C4×C11×#125C2semidirect
23. C4×C11×#126C2semidirect
24. C4×C11×#126C2semidirect
26. C11×#2298C2semidirect
27. C11×#2298C2semidirect
28. C11×#2296C2semidirect
30. C42×Q8×C11C2semidirect
31. C4×C11×#117C2semidirect
357. #34866C11direct (N × H)
504. #2606C2×C11semidirect
505. #2604C2×C11semidirect
507. #2599C2×C11semidirect
508. #2596C2×C11semidirect
509. #2590C2×C11semidirect
510. #2575C2×C11semidirect
512. #2533C2×C11semidirect
513. #2529C2×C11semidirect
514. #2519C2×C11semidirect
515. #2515C2×C11semidirect
517. #2475C2×C11semidirect
518. #2462C2×C11semidirect
520. #2402C2×C11semidirect
521. #2396C2×C11semidirect
522. #2396C2×C11semidirect
524. C4×#125C2×C11semidirect
525. C4×#125C2×C11semidirect
526. C4×#126C2×C11semidirect
527. C4×#126C2×C11semidirect
529. #2298C2×C11semidirect
530. #2298C2×C11semidirect
531. #2296C2×C11semidirect
533. C42×Q8C2×C11semidirect
534. C4×#117C2×C11semidirect
1173. C11#34866direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#26062
C11×#26042
C11×#26012
C11×#25992
C11×#25962
C11×#25902
C11×#25752
C11×#25582
C11×#25332
C11×#25292
C11×#25192
C11×#25152
C11×#24792
C11×#24752
C11×#24622
C11×#24582
C11×#24022
C11×#23962
C11×#23952
C4×C11×#1252
C4×C11×#1262
C4×C11×#1232
C11×#22982
C11×#22962
C11×#22932
C42×Q8×C112
C4×C11×#1172
#3486611