Finite Group Databasebeta

← C11×#34840 #14612033

Subgroups — C11×#34840 #14612033

Order 2816.

1944 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2590C211yesmaximal, characteristic, complemented
2C11×#2589C211yesmaximal, characteristic, complemented
3C11×#2588C211yesmaximal, characteristic, complemented
4C11×#2587C211yesmaximal, characteristic, complemented
5C11×#2586C211yesmaximal, characteristic, complemented
6C11×#2585C211yesmaximal, characteristic, complemented
7C11×#2583C211yesmaximal, characteristic, complemented
8C11×#2579C211yesmaximal, characteristic
9C11×#2574C211yesmaximal, characteristic, complemented
10C11×#2564C211yesmaximal, characteristic
11C11×#2556C211yesmaximal, characteristic, complemented
12C11×#2549C211yesmaximal, characteristic, complemented
13C11×#2505C211yesmaximal, characteristic, complemented
14C11×#2473C211yesmaximal, characteristic, complemented
15C11×#2450C211yesmaximal, characteristic
16C11×#2449C211yesmaximal, characteristic
17C11×#2402C211yesmaximal, characteristic, complemented
18C11×#2399C211yesmaximal, characteristic, complemented
19C11×#2396C211yesmaximal, characteristic, complemented
20C11×#2396C211yesmaximal, characteristic, complemented
21C4×C11×#125C211yesmaximal, characteristic, complemented
22C4×C11×C22⋊Q8C211yesmaximal, characteristic, complemented
23C4×C11×C22⋊Q8C211yesmaximal, characteristic, complemented
24C4×C11×C22⋊Q8C211yesmaximal, characteristic, complemented
25C4×C11×C22⋊Q8C211yesmaximal, characteristic, complemented
26C11×#2296C211yesmaximal, characteristic, complemented
27C11×#2295C211yesmaximal, characteristic, complemented
28C11×#2290C211yesmaximal, characteristic
29C11×#2290C211yesmaximal, characteristic
30C42×D4×C11C211yesmaximal, characteristic
31C2×C4×C11×C4⋊C4C211yesmaximal, characteristic, complemented
32C2×C11×#125C2211yescharacteristic
33C2×C11×C22⋊Q8C2211yescharacteristic
34C2×C11×C22⋊Q8C2211yescharacteristic
35C2×C11×C22⋊Q8C2211yescharacteristic
36C2×C11×C22⋊Q8C2211yescharacteristic
37C2×C4×Q8×C11C2211yescharacteristic
38C2×C4×Q8×C11C2211yescharacteristic
39C2×C4×Q8×C11C2211yescharacteristic
40C2×C4×D4×C11C2211yescharacteristic
41C2×C4×D4×C11C2211yescharacteristic
42C2×C4×D4×C11C2211yescharacteristic
43C2×C11×#117C2211yescharacteristic
44C2×C11×#117C2211yescharacteristic
45C22×C11×C4⋊C4C2211yescharacteristic
46C22×C11×C4⋊C4C2211yescharacteristic
47C22×C42×C11C2211yescharacteristic
48C22×C42×C11C2211yescharacteristic
49C22×C42×C11C2211yescharacteristic
50C22×C42×C11C2211yescharacteristic
51C11×#400C2211yescharacteristic
52C11×#400C2211yescharacteristic
53C11×#400C2211yescharacteristic
54C11×#400C2211yescharacteristic
55C11×#400C2211yescharacteristic
56C11×#400C2211yescharacteristic
57C11×#399C2211yescharacteristic
58C11×#399C2211yescharacteristic
59C11×#398C2211yescharacteristic
60C11×#398C2211yescharacteristic
61C11×#398C2211yescharacteristic
62C11×#398C2211yescharacteristic
63C11×#398C2211yescharacteristic
64C11×#398C2211yescharacteristic
65C11×#398C2211yescharacteristic
66C11×#398C2211yescharacteristic
67C11×#398C2211yescharacteristic
68C11×#398C2211yescharacteristic
69C11×#398C2211yescharacteristic
70C11×#398C2211yescharacteristic
71C11×#396C2211yescharacteristic
72C11×#396C2211yescharacteristic
73C11×#396C2211yescharacteristic
74C11×#396C2211yescharacteristic
75C11×#395C2211yescharacteristic
76C11×#395C2211yescharacteristic
77C11×#395C2211yescharacteristic
78C11×#395C2211yescharacteristic
79C11×#395C2211yescharacteristic
80C11×#395C2211yescharacteristic
81C11×#393C2211yescharacteristic
82C11×#393C2211yescharacteristic
83C11×#391C2211yescharacteristic
84C11×#391C2211yescharacteristic
85C11×#391C2211yescharacteristic
86C11×#391C2211yescharacteristic
87C11×#391C2211yescharacteristic
88C11×#391C2211yescharacteristic
89C11×#389C2211yescharacteristic
90C11×#389C2211yescharacteristic
91C11×#389C2211yescharacteristic
92C11×#389C2211yescharacteristic
93C11×#389C2211yescharacteristic
94C11×#389C2211yescharacteristic
95C11×#389C2211yescharacteristic
96C11×#389C2211yescharacteristic
97C11×#389C2211yescharacteristic
98C11×#389C2211yescharacteristic
99C11×#389C2211yescharacteristic
100C11×#389C2211yescharacteristic
101C11×#388C2211yescharacteristic
102C11×#388C2211yescharacteristic
103C11×#388C2211yescharacteristic
104C11×#388C2211yescharacteristic
105C11×#387C2211yescharacteristic
106C11×#387C2211yescharacteristic
107C11×#387C2211yescharacteristic
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×#386C2211yescharacteristic
126C11×#386C2211yescharacteristic
127C11×#386C2211yescharacteristic
128C11×#386C2211yescharacteristic
129C11×#385C2211yescharacteristic
130C11×#385C2211yescharacteristic
131C11×#385C2211yescharacteristic
132C11×#385C2211yescharacteristic
133C11×#385C2211yescharacteristic
134C11×#385C2211yescharacteristic
135C11×#385C2211yescharacteristic
136C11×#385C2211yescharacteristic
137C11×#385C2211yescharacteristic
138C11×#385C2211yescharacteristic
139C11×#385C2211yescharacteristic
140C11×#385C2211yescharacteristic
141C11×#385C2211yescharacteristic
142C11×#385C2211yescharacteristic
143C11×#385C2211yescharacteristic
144C11×#385C2211yescharacteristic
145C11×#382C2211yescharacteristic
146C11×#380C2211yescharacteristic
147C11×#380C2211yescharacteristic
148C11×#380C2211yescharacteristic
149C11×#380C2211yescharacteristic
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×C4⋊C4C2211yescharacteristic
171C4×C11×C4⋊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
180C4×C11×C22⋊C4C2211yescharacteristic
181C4×C11×C22⋊C4C2211yescharacteristic
182C11×#376C2211yescharacteristic
183C11×#376C2211yescharacteristic
184C2×C11×#95C2211yescharacteristic
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
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C11×#125—24no—
202C11×C22⋊Q8—24no—
203C11×C22⋊Q8—24no—
204C11×C22⋊Q8—24no—
205C11×C22⋊Q8—24no—
206C4×Q8×C11—24no—
207C4×Q8×C11—42no—
208C4×Q8×C11—42no—
209C4×D4×C11—24no—
210C4×D4×C11—24no—
211C4×D4×C11Q818yescomplemented
212C11×#117—24no—
213C11×#117—42no—
214C2×C11×C4⋊C4—24no—
215C2×C11×C4⋊C4—24no—
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×C4⋊C4C2311yescharacteristic
250C2×C11×C4⋊C4C2311yescharacteristic
251C2×C11×C4⋊C4C2311yescharacteristic
252C2×C11×C4⋊C4C2311yescharacteristic
253C2×C11×C4⋊C4C2311yescharacteristic
254C2×C11×C4⋊C4C2311yescharacteristic
255C2×C11×C4⋊C4C2311yescharacteristic
256C2×C11×C4⋊C4C2311yescharacteristic
257C2×C11×C4⋊C4C2311yescharacteristic
258C2×C11×C4⋊C4C2311yescharacteristic
259C2×C11×C4⋊C4C2311yescharacteristic
260C2×C11×C4⋊C4C2311yescharacteristic
261C2×C11×C4⋊C4C2311yescharacteristic
262C2×C11×C22⋊C4C2311yescharacteristic
263C2×C11×C22⋊C4C2311yescharacteristic
264C2×C11×C22⋊C4C2311yescharacteristic
265C2×C11×C22⋊C4C2311yescharacteristic
266C2×C11×C22⋊C4C2311yescharacteristic
267C2×C11×C22⋊C4C2311yescharacteristic
268C2×C11×C22⋊C4C2311yescharacteristic
269C2×C11×C22⋊C4C2311yescharacteristic
270C2×C11×C22⋊C4C2311yescharacteristic
271C2×C11×C22⋊C4C2311yescharacteristic
272C2×C11×C22⋊C4C2311yescharacteristic
273C2×C11×C22⋊C4C2311yescharacteristic
274C2×C11×C22⋊C4C2311yescharacteristic
275C2×C11×C22⋊C4C2311yescharacteristic
276C2×C11×C22⋊C4C2311yescharacteristic
277C2×C11×C22⋊C4C2311yescharacteristic
278C2×C11×C22⋊C4C2311yescharacteristic
279C2×C11×C22⋊C4C2311yescharacteristic
280C2×C42×C11—24no—
281C2×C42×C11—42no—
282C2×C42×C11—42no—
283C2×C42×C11—42no—
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
305C2×C42×C11C2311yescharacteristic
306C2×C42×C11C2311yescharacteristic
307C2×C42×C11C2311yescharacteristic
308C2×C42×C11C2311yescharacteristic
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
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361#34840C1111yesmaximal, characteristic, direct product factor, Sylow
362C24×C11C2411yescharacteristic
363C24×C11C2411yescharacteristic
364C2×Q8×C11—22no—
365C2×Q8×C11—22no—
366C2×Q8×C11—22no—
367C2×Q8×C11—22no—
368C2×Q8×C11—22no—
369C2×Q8×C11—41no—
370C2×Q8×C11—41no—
371C2×Q8×C11—41no—
372C2×Q8×C11—41no—
373C2×D4×C11—22no—
374C2×D4×C11—22no—
375C2×D4×C11C2×Q814yes—
376C22×C4×C11—22no—
377C22×C4×C11—22no—
378C22×C4×C11—22no—
379C22×C4×C11—22no—
380C22×C4×C11—22no—
381C22×C4×C11—22no—
382C22×C4×C11—22no—
383C22×C4×C11—22no—
384C22×C4×C11—22no—
385C22×C4×C11—22no—
386C22×C4×C11—22no—
387C22×C4×C11—22no—
388C22×C4×C11—22no—
389C22×C4×C11—22no—
390C22×C4×C11—22no—
391C22×C4×C11—22no—
392C22×C4×C11—22no—
393C22×C4×C11—41no—
394C22×C4×C11—41no—
395C22×C4×C11—41no—
396C22×C4×C11—41no—
397C22×C4×C11—41no—
398C22×C4×C11—41no—
399C22×C4×C11—41no—
400C22×C4×C11—41no—
401C22×C4×C11—41no—
402C22×C4×C11—41no—
403C22×C4×C11C2×Q814yes—
404C22×C4×C11C2×Q814yes—
405C22×C4×C11#4114yes—
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
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—22no—
442C11×C4⋊C4—22no—
443C11×C4⋊C4—22no—
444C11×C4⋊C4—22no—
445C11×C4⋊C4—22no—
446C11×C4⋊C4—22no—
447C11×C4⋊C4—22no—
448C11×C4⋊C4—22no—
449C11×C4⋊C4—22no—
450C11×C4⋊C4—22no—
451C11×C4⋊C4—22no—
452C11×C4⋊C4—22no—
453C11×C4⋊C4—22no—
454C11×C4⋊C4—22no—
455C11×C4⋊C4—22no—
456C11×C4⋊C4—22no—
457C11×C4⋊C4—22no—
458C11×C4⋊C4—22no—
459C11×C4⋊C4—22no—
460C11×C4⋊C4—22no—
461C11×C4⋊C4—22no—
462C11×C4⋊C4—22no—
463C11×C4⋊C4—22no—
464C11×C4⋊C4—22no—
465C11×C4⋊C4—41no—
466C11×C4⋊C4—41no—
467C11×C4⋊C4—41no—
468C11×C4⋊C4—41no—
469C11×C4⋊C4—41no—
470C11×C4⋊C4—41no—
471C11×C4⋊C4—41no—
472C11×C4⋊C4—41no—
473C11×C4⋊C4—41no—
474C11×C4⋊C4—41no—
475C11×C4⋊C4—41no—
476C11×C4⋊C4—41no—
477C11×C4⋊C4—41no—
478C11×C4⋊C4—41no—
479C11×C4⋊C4C2×Q814yes—
480C11×C4⋊C4#4114yes—
481C11×C22⋊C4—22no—
482C11×C22⋊C4—22no—
483C11×C22⋊C4—22no—
484C11×C22⋊C4—22no—
485C11×C22⋊C4—22no—
486C11×C22⋊C4—22no—
487C11×C22⋊C4—22no—
488C11×C22⋊C4—22no—
489C11×C22⋊C4—22no—
490C11×C22⋊C4—22no—
491C11×C22⋊C4—22no—
492C11×C22⋊C4—41no—
493C11×C22⋊C4—41no—
494C11×C22⋊C4—41no—
495C11×C22⋊C4—41no—
496C11×C22⋊C4C2×Q814yes—
497C11×C22⋊C4C2×Q814yes—
498C11×C22⋊C4#4114yes—
499C42×C11—22no—
500C42×C11—22no—
501C42×C11—22no—
502C42×C11—22no—
503C42×C11—22no—
504C42×C11—22no—
505C42×C11—22no—
506C42×C11—22no—
507C42×C11—22no—
508C42×C11—22no—
509C42×C11—22no—
510C42×C11—22no—
511C42×C11—22no—
512C42×C11—22no—
513C42×C11—22no—
514C42×C11—22no—
515C42×C11—41no—
516C42×C11—41no—
517C42×C11—41no—
518C42×C11—41no—
519C42×C11—41no—
520C42×C11—41no—
521C42×C11—41no—
522C42×C11C2×Q814yes—
523C42×C11#4114yes—
524#2590C2×C1111yescharacteristic, complemented
525#2589C2×C1111yescharacteristic, complemented
526#2588C2×C1111yescharacteristic, complemented
527#2587C2×C1111yescharacteristic, complemented
528#2586C2×C1111yescharacteristic, complemented
529#2585C2×C1111yescharacteristic, complemented
530#2583C2×C1111yescharacteristic, complemented
531#2579C2×C1111yescharacteristic
532#2574C2×C1111yescharacteristic, complemented
533#2564C2×C1111yescharacteristic
534#2556C2×C1111yescharacteristic, complemented
535#2549C2×C1111yescharacteristic, complemented
536#2505C2×C1111yescharacteristic, complemented
537#2473C2×C1111yescharacteristic, complemented
538#2450C2×C1111yescharacteristic
539#2449C2×C1111yescharacteristic
540#2402C2×C1111yescharacteristic, complemented
541#2399C2×C1111yescharacteristic, complemented
542#2396C2×C1111yescharacteristic, complemented
543#2396C2×C1111yescharacteristic, complemented
544C4×#125C2×C1111yescharacteristic, complemented
545C4×C22⋊Q8C2×C1111yescharacteristic, complemented
546C4×C22⋊Q8C2×C1111yescharacteristic, complemented
547C4×C22⋊Q8C2×C1111yescharacteristic, complemented
548C4×C22⋊Q8C2×C1111yescharacteristic, complemented
549#2296C2×C1111yescharacteristic, complemented
550#2295C2×C1111yescharacteristic, complemented
551#2290C2×C1111yescharacteristic
552#2290C2×C1111yescharacteristic
553C42×D4C2×C1111yescharacteristic
554C2×C4×C4⋊C4C2×C1111yescharacteristic, complemented
555C23×C11—21no—
556C23×C11—21no—
557C23×C11—21no—
558C23×C11—21no—
559C23×C11—21no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11—21no—
565C23×C11C22×Q812yes—
566C23×C11C22×Q812yes—
567C23×C11C2×#4112yes—
568C23×C11C2×#4112yes—
569C23×C11C2511yescharacteristic
570Q8×C11—44no—
571Q8×C11—44no—
572Q8×C11—44no—
573D4×C11—28no—
574C2×C4×C11—28no—
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—28no—
602C2×C4×C11—28no—
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—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—44no—
649C2×C4×C11—44no—
650C2×C4×C11—44no—
651C2×C4×C11—44no—
652C2×C4×C11—44no—
653C2×C4×C11—44no—
654C2×C4×C11—44no—
655C2×C4×C11C22×Q812yes—
656C2×C4×C11C22×Q812yes—
657C2×C4×C11C22×Q812yes—
658C2×C4×C11C22×Q812yes—
659C2×C4×C11C22×Q812yes—
660C2×C4×C11C2×#4112yes—
661C2×C4×C11C2×#4112yes—
662C2×C4×C11C2×#4112yes—
663C2×C4×C11C2×#4112yes—
664C2×C4×C11C2×#4112yes—
665C2×C4×C11C2×#4112yes—
666C2×C4×C11C2×#4112yes—
667C2×C4×C11C2×#4112yes—
668C2×C4×C11C2×#4112yes—
669C2×C4×C11C2×#4112yes—
670C2×C4×C11H(5,𝔽2)12yes—
671C2×#125C22×C1111yescharacteristic
672C2×C22⋊Q8C22×C1111yescharacteristic
673C2×C22⋊Q8C22×C1111yescharacteristic
674C2×C22⋊Q8C22×C1111yescharacteristic
675C2×C22⋊Q8C22×C1111yescharacteristic
676C2×C4×Q8C22×C1111yescharacteristic
677C2×C4×Q8C22×C1111yescharacteristic
678C2×C4×Q8C22×C1111yescharacteristic
679C2×C4×D4C22×C1111yescharacteristic
680C2×C4×D4C22×C1111yescharacteristic
681C2×C4×D4C22×C1111yescharacteristic
682C2×#117C22×C1111yescharacteristic
683C2×#117C22×C1111yescharacteristic
684C22×C4⋊C4C22×C1111yescharacteristic
685C22×C4⋊C4C22×C1111yescharacteristic
686C22×C42C22×C1111yescharacteristic
687C22×C42C22×C1111yescharacteristic
688C22×C42C22×C1111yescharacteristic
689C22×C42C22×C1111yescharacteristic
690#400C22×C1111yescharacteristic
691#400C22×C1111yescharacteristic
692#400C22×C1111yescharacteristic
693#400C22×C1111yescharacteristic
694#400C22×C1111yescharacteristic
695#400C22×C1111yescharacteristic
696#399C22×C1111yescharacteristic
697#399C22×C1111yescharacteristic
698#398C22×C1111yescharacteristic
699#398C22×C1111yescharacteristic
700#398C22×C1111yescharacteristic
701#398C22×C1111yescharacteristic
702#398C22×C1111yescharacteristic
703#398C22×C1111yescharacteristic
704#398C22×C1111yescharacteristic
705#398C22×C1111yescharacteristic
706#398C22×C1111yescharacteristic
707#398C22×C1111yescharacteristic
708#398C22×C1111yescharacteristic
709#398C22×C1111yescharacteristic
710#396C22×C1111yescharacteristic
711#396C22×C1111yescharacteristic
712#396C22×C1111yescharacteristic
713#396C22×C1111yescharacteristic
714#395C22×C1111yescharacteristic
715#395C22×C1111yescharacteristic
716#395C22×C1111yescharacteristic
717#395C22×C1111yescharacteristic
718#395C22×C1111yescharacteristic
719#395C22×C1111yescharacteristic
720#393C22×C1111yescharacteristic
721#393C22×C1111yescharacteristic
722#391C22×C1111yescharacteristic
723#391C22×C1111yescharacteristic
724#391C22×C1111yescharacteristic
725#391C22×C1111yescharacteristic
726#391C22×C1111yescharacteristic
727#391C22×C1111yescharacteristic
728#389C22×C1111yescharacteristic
729#389C22×C1111yescharacteristic
730#389C22×C1111yescharacteristic
731#389C22×C1111yescharacteristic
732#389C22×C1111yescharacteristic
733#389C22×C1111yescharacteristic
734#389C22×C1111yescharacteristic
735#389C22×C1111yescharacteristic
736#389C22×C1111yescharacteristic
737#389C22×C1111yescharacteristic
738#389C22×C1111yescharacteristic
739#389C22×C1111yescharacteristic
740#388C22×C1111yescharacteristic
741#388C22×C1111yescharacteristic
742#388C22×C1111yescharacteristic
743#388C22×C1111yescharacteristic
744#387C22×C1111yescharacteristic
745#387C22×C1111yescharacteristic
746#387C22×C1111yescharacteristic
747#387C22×C1111yescharacteristic
748#387C22×C1111yescharacteristic
749#387C22×C1111yescharacteristic
750#387C22×C1111yescharacteristic
751#387C22×C1111yescharacteristic
752#387C22×C1111yescharacteristic
753#387C22×C1111yescharacteristic
754#387C22×C1111yescharacteristic
755#387C22×C1111yescharacteristic
756#387C22×C1111yescharacteristic
757#387C22×C1111yescharacteristic
758#387C22×C1111yescharacteristic
759#387C22×C1111yescharacteristic
760#387C22×C1111yescharacteristic
761#387C22×C1111yescharacteristic
762#387C22×C1111yescharacteristic
763#387C22×C1111yescharacteristic
764#386C22×C1111yescharacteristic
765#386C22×C1111yescharacteristic
766#386C22×C1111yescharacteristic
767#386C22×C1111yescharacteristic
768#385C22×C1111yescharacteristic
769#385C22×C1111yescharacteristic
770#385C22×C1111yescharacteristic
771#385C22×C1111yescharacteristic
772#385C22×C1111yescharacteristic
773#385C22×C1111yescharacteristic
774#385C22×C1111yescharacteristic
775#385C22×C1111yescharacteristic
776#385C22×C1111yescharacteristic
777#385C22×C1111yescharacteristic
778#385C22×C1111yescharacteristic
779#385C22×C1111yescharacteristic
780#385C22×C1111yescharacteristic
781#385C22×C1111yescharacteristic
782#385C22×C1111yescharacteristic
783#385C22×C1111yescharacteristic
784#382C22×C1111yescharacteristic
785#380C22×C1111yescharacteristic
786#380C22×C1111yescharacteristic
787#380C22×C1111yescharacteristic
788#380C22×C1111yescharacteristic
789C4×C4⋊C4C22×C1111yescharacteristic
790C4×C4⋊C4C22×C1111yescharacteristic
791C4×C4⋊C4C22×C1111yescharacteristic
792C4×C4⋊C4C22×C1111yescharacteristic
793C4×C4⋊C4C22×C1111yescharacteristic
794C4×C4⋊C4C22×C1111yescharacteristic
795C4×C4⋊C4C22×C1111yescharacteristic
796C4×C4⋊C4C22×C1111yescharacteristic
797C4×C4⋊C4C22×C1111yescharacteristic
798C4×C4⋊C4C22×C1111yescharacteristic
799C4×C4⋊C4C22×C1111yescharacteristic
800C4×C4⋊C4C22×C1111yescharacteristic
801C4×C4⋊C4C22×C1111yescharacteristic
802C4×C4⋊C4C22×C1111yescharacteristic
803C4×C4⋊C4C22×C1111yescharacteristic
804C4×C4⋊C4C22×C1111yescharacteristic
805C4×C4⋊C4C22×C1111yescharacteristic
806C4×C4⋊C4C22×C1111yescharacteristic
807C4×C4⋊C4C22×C1111yescharacteristic
808C4×C4⋊C4C22×C1111yescharacteristic
809C4×C4⋊C4C22×C1111yescharacteristic
810C4×C4⋊C4C22×C1111yescharacteristic
811C4×C22⋊C4C22×C1111yescharacteristic
812C4×C22⋊C4C22×C1111yescharacteristic
813C4×C22⋊C4C22×C1111yescharacteristic
814C4×C22⋊C4C22×C1111yescharacteristic
815C4×C22⋊C4C22×C1111yescharacteristic
816C4×C22⋊C4C22×C1111yescharacteristic
817C4×C22⋊C4C22×C1111yescharacteristic
818C4×C22⋊C4C22×C1111yescharacteristic
819C4×C22⋊C4C22×C1111yescharacteristic
820C4×C22⋊C4C22×C1111yescharacteristic
821#376C22×C1111yescharacteristic
822#376C22×C1111yescharacteristic
823C2×#95C22×C1111yescharacteristic
824C2×#95C22×C1111yescharacteristic
825C43C22×C1111yescharacteristic
826C22×C11—22no—
827C22×C11—22no—
828C22×C11—22no—
829C22×C11—22no—
830C22×C11—22no—
831C22×C11—22no—
832C22×C11—22no—
833C22×C11—22no—
834C22×C11—22no—
835C22×C11—41no—
836C22×C11—41no—
837C22×C11—41no—
838C22×C11—41no—
839C22×C11#53314yes—
840C22×C11C23×Q811yescharacteristic
841C22×C11C22×#4111yescharacteristic
842C22×C11C22×#4111yescharacteristic
843C22×C11C22×#4111yescharacteristic
844C22×C11C22×#4111yescharacteristic
845C22×C11C2×H(5,𝔽2)11yescharacteristic
846C22×C11#58511yescharacteristic
847C4×C11—22no—
848C4×C11—22no—
849C4×C11—22no—
850C4×C11—22no—
851C4×C11—22no—
852C4×C11—22no—
853C4×C11—22no—
854C4×C11—22no—
855C4×C11—22no—
856C4×C11—22no—
857C4×C11—22no—
858C4×C11—22no—
859C4×C11—22no—
860C4×C11—41no—
861C4×C11—41no—
862C4×C11—41no—
863C4×C11—41no—
864C4×C11—41no—
865C4×C11—41no—
866C4×C11—41no—
867C4×C11—41no—
868C4×C11—41no—
869C4×C11—41no—
870C4×C11—41no—
871C4×C11—41no—
872C4×C11—41no—
873C4×C11—41no—
874C4×C11—41no—
875C4×C11#55414yes—
876C22×Q8C23×C1111yescharacteristic
877C22×Q8C23×C1111yescharacteristic
878C22×Q8C23×C1111yescharacteristic
879C22×D4C23×C1111yescharacteristic
880C23×C4C23×C1111yescharacteristic
881C23×C4C23×C1111yescharacteristic
882C23×C4C23×C1111yescharacteristic
883C23×C4C23×C1111yescharacteristic
884C23×C4C23×C1111yescharacteristic
885C23×C4C23×C1111yescharacteristic
886C23×C4C23×C1111yescharacteristic
887C23×C4C23×C1111yescharacteristic
888C23×C4C23×C1111yescharacteristic
889C23×C4C23×C1111yescharacteristic
890#125—24no—
891C22⋊Q8—24no—
892C22⋊Q8—24no—
893C22⋊Q8—24no—
894C22⋊Q8—24no—
895C4×Q8—24no—
896C4×Q8—42no—
897C4×Q8—42no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4Q8×C1118yescomplemented
901#117—24no—
902#117—42no—
903C2×C4⋊C4—24no—
904C2×C4⋊C4—24no—
905C2×C4⋊C4C23×C1111yescharacteristic
906C2×C4⋊C4C23×C1111yescharacteristic
907C2×C4⋊C4C23×C1111yescharacteristic
908C2×C4⋊C4C23×C1111yescharacteristic
909C2×C4⋊C4C23×C1111yescharacteristic
910C2×C4⋊C4C23×C1111yescharacteristic
911C2×C4⋊C4C23×C1111yescharacteristic
912C2×C4⋊C4C23×C1111yescharacteristic
913C2×C4⋊C4C23×C1111yescharacteristic
914C2×C4⋊C4C23×C1111yescharacteristic
915C2×C4⋊C4C23×C1111yescharacteristic
916C2×C4⋊C4C23×C1111yescharacteristic
917C2×C4⋊C4C23×C1111yescharacteristic
918C2×C4⋊C4C23×C1111yescharacteristic
919C2×C4⋊C4C23×C1111yescharacteristic
920C2×C4⋊C4C23×C1111yescharacteristic
921C2×C4⋊C4C23×C1111yescharacteristic
922C2×C4⋊C4C23×C1111yescharacteristic
923C2×C4⋊C4C23×C1111yescharacteristic
924C2×C4⋊C4C23×C1111yescharacteristic
925C2×C4⋊C4C23×C1111yescharacteristic
926C2×C4⋊C4C23×C1111yescharacteristic
927C2×C4⋊C4C23×C1111yescharacteristic
928C2×C4⋊C4C23×C1111yescharacteristic
929C2×C4⋊C4C23×C1111yescharacteristic
930C2×C4⋊C4C23×C1111yescharacteristic
931C2×C4⋊C4C23×C1111yescharacteristic
932C2×C4⋊C4C23×C1111yescharacteristic
933C2×C4⋊C4C23×C1111yescharacteristic
934C2×C4⋊C4C23×C1111yescharacteristic
935C2×C4⋊C4C23×C1111yescharacteristic
936C2×C4⋊C4C23×C1111yescharacteristic
937C2×C4⋊C4C23×C1111yescharacteristic
938C2×C4⋊C4C23×C1111yescharacteristic
939C2×C4⋊C4C23×C1111yescharacteristic
940C2×C4⋊C4C23×C1111yescharacteristic
941C2×C4⋊C4C23×C1111yescharacteristic
942C2×C4⋊C4C23×C1111yescharacteristic
943C2×C4⋊C4C23×C1111yescharacteristic
944C2×C4⋊C4C23×C1111yescharacteristic
945C2×C4⋊C4C23×C1111yescharacteristic
946C2×C4⋊C4C23×C1111yescharacteristic
947C2×C4⋊C4C23×C1111yescharacteristic
948C2×C4⋊C4C23×C1111yescharacteristic
949C2×C4⋊C4C23×C1111yescharacteristic
950C2×C4⋊C4C23×C1111yescharacteristic
951C2×C22⋊C4C23×C1111yescharacteristic
952C2×C22⋊C4C23×C1111yescharacteristic
953C2×C22⋊C4C23×C1111yescharacteristic
954C2×C22⋊C4C23×C1111yescharacteristic
955C2×C22⋊C4C23×C1111yescharacteristic
956C2×C22⋊C4C23×C1111yescharacteristic
957C2×C22⋊C4C23×C1111yescharacteristic
958C2×C22⋊C4C23×C1111yescharacteristic
959C2×C22⋊C4C23×C1111yescharacteristic
960C2×C22⋊C4C23×C1111yescharacteristic
961C2×C22⋊C4C23×C1111yescharacteristic
962C2×C22⋊C4C23×C1111yescharacteristic
963C2×C22⋊C4C23×C1111yescharacteristic
964C2×C22⋊C4C23×C1111yescharacteristic
965C2×C22⋊C4C23×C1111yescharacteristic
966C2×C22⋊C4C23×C1111yescharacteristic
967C2×C22⋊C4C23×C1111yescharacteristic
968C2×C22⋊C4C23×C1111yescharacteristic
969C2×C42—24no—
970C2×C42—42no—
971C2×C42—42no—
972C2×C42—42no—
973C2×C42C23×C1111yescharacteristic
974C2×C42C23×C1111yescharacteristic
975C2×C42C23×C1111yescharacteristic
976C2×C42C23×C1111yescharacteristic
977C2×C42C23×C1111yescharacteristic
978C2×C42C23×C1111yescharacteristic
979C2×C42C23×C1111yescharacteristic
980C2×C42C23×C1111yescharacteristic
981C2×C42C23×C1111yescharacteristic
982C2×C42C23×C1111yescharacteristic
983C2×C42C23×C1111yescharacteristic
984C2×C42C23×C1111yescharacteristic
985C2×C42C23×C1111yescharacteristic
986C2×C42C23×C1111yescharacteristic
987C2×C42C23×C1111yescharacteristic
988C2×C42C23×C1111yescharacteristic
989C2×C42C23×C1111yescharacteristic
990C2×C42C23×C1111yescharacteristic
991C2×C42C23×C1111yescharacteristic
992C2×C42C23×C1111yescharacteristic
993C2×C42C23×C1111yescharacteristic
994C2×C42C23×C1111yescharacteristic
995C2×C42C23×C1111yescharacteristic
996C2×C42C23×C1111yescharacteristic
997C2×C42C23×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
1018#95C23×C1111yescharacteristic
1019#95C23×C1111yescharacteristic
1020#95C23×C1111yescharacteristic
1021#95C23×C1111yescharacteristic
1022#95C23×C1111yescharacteristic
1023#95C23×C1111yescharacteristic
1024#95C23×C1111yescharacteristic
1025#95C23×C1111yescharacteristic
1026#95C23×C1111yescharacteristic
1027#95C23×C1111yescharacteristic
1028#95C23×C1111yescharacteristic
1029#95C23×C1111yescharacteristic
1030#95C23×C1111yescharacteristic
1031#95C23×C1111yescharacteristic
1032#95C23×C1111yescharacteristic
1033#95C23×C1111yescharacteristic
1034#95C23×C1111yescharacteristic
1035#95C23×C1111yescharacteristic
1036#95C23×C1111yescharacteristic
1037#95C23×C1111yescharacteristic
1038#95C23×C1111yescharacteristic
1039#95C23×C1111yescharacteristic
1040#95C23×C1111yescharacteristic
1041#95C23×C1111yescharacteristic
1042#95C23×C1111yescharacteristic
1043#95C23×C1111yescharacteristic
1044#95C23×C1111yescharacteristic
1045#95C23×C1111yescharacteristic
1046#95C23×C1111yescharacteristic
1047#95C23×C1111yescharacteristic
1048#95C23×C1111yescharacteristic
1049#95C23×C1111yescharacteristic
1050C2×C11—24no—
1051C2×C11—42no—
1052C2×C11C2×#53311yescharacteristic
1053C2×C11#344411yescharacteristic
1054C2×C11#345911yescharacteristic
1055C2×C11C2×#55411yescharacteristic
1056C2×C11#347511yescharacteristic
1057C2×C11Q8×#4111yescharacteristic
1058C2×C11#348111yescharacteristic
1059C24C24×C1111yescharacteristic
1060C24C24×C1111yescharacteristic
1061C2×Q8—22no—
1062C2×Q8—22no—
1063C2×Q8—22no—
1064C2×Q8—22no—
1065C2×Q8—22no—
1066C2×Q8—41no—
1067C2×Q8—41no—
1068C2×Q8—41no—
1069C2×Q8—41no—
1070C2×D4—22no—
1071C2×D4—22no—
1072C2×D4C2×Q8×C1114yes—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—22no—
1090C22×C4—41no—
1091C22×C4—41no—
1092C22×C4—41no—
1093C22×C4—41no—
1094C22×C4—41no—
1095C22×C4—41no—
1096C22×C4—41no—
1097C22×C4—41no—
1098C22×C4—41no—
1099C22×C4—41no—
1100C22×C4C2×Q8×C1114yes—
1101C22×C4C2×Q8×C1114yes—
1102C22×C4C11×#4114yes—
1103C22×C4C24×C1111yescharacteristic
1104C22×C4C24×C1111yescharacteristic
1105C22×C4C24×C1111yescharacteristic
1106C22×C4C24×C1111yescharacteristic
1107C22×C4C24×C1111yescharacteristic
1108C22×C4C24×C1111yescharacteristic
1109C22×C4C24×C1111yescharacteristic
1110C22×C4C24×C1111yescharacteristic
1111C22×C4C24×C1111yescharacteristic
1112C22×C4C24×C1111yescharacteristic
1113C22×C4C24×C1111yescharacteristic
1114C22×C4C24×C1111yescharacteristic
1115C22×C4C24×C1111yescharacteristic
1116C22×C4C24×C1111yescharacteristic
1117C22×C4C24×C1111yescharacteristic
1118C22×C4C24×C1111yescharacteristic
1119C22×C4C24×C1111yescharacteristic
1120C22×C4C24×C1111yescharacteristic
1121C22×C4C24×C1111yescharacteristic
1122C22×C4C24×C1111yescharacteristic
1123C22×C4C24×C1111yescharacteristic
1124C22×C4C24×C1111yescharacteristic
1125C22×C4C24×C1111yescharacteristic
1126C22×C4C24×C1111yescharacteristic
1127C22×C4C24×C1111yescharacteristic
1128C22×C4C24×C1111yescharacteristic
1129C22×C4C24×C1111yescharacteristic
1130C22×C4C24×C1111yescharacteristic
1131C22×C4C24×C1111yescharacteristic
1132C4⋊C4—22no—
1133C4⋊C4—22no—
1134C4⋊C4—22no—
1135C4⋊C4—22no—
1136C4⋊C4—22no—
1137C4⋊C4—22no—
1138C4⋊C4—22no—
1139C4⋊C4—22no—
1140C4⋊C4—22no—
1141C4⋊C4—22no—
1142C4⋊C4—22no—
1143C4⋊C4—22no—
1144C4⋊C4—22no—
1145C4⋊C4—22no—
1146C4⋊C4—22no—
1147C4⋊C4—22no—
1148C4⋊C4—22no—
1149C4⋊C4—22no—
1150C4⋊C4—22no—
1151C4⋊C4—22no—
1152C4⋊C4—22no—
1153C4⋊C4—22no—
1154C4⋊C4—22no—
1155C4⋊C4—22no—
1156C4⋊C4—22no—
1157C4⋊C4—22no—
1158C4⋊C4—22no—
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—22no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4C2×Q8×C1114yes—
1177C4⋊C4C11×#4114yes—
1178C22⋊C4—22no—
1179C22⋊C4—22no—
1180C22⋊C4—22no—
1181C22⋊C4—22no—
1182C22⋊C4—22no—
1183C22⋊C4—22no—
1184C22⋊C4—22no—
1185C22⋊C4—22no—
1186C22⋊C4—22no—
1187C22⋊C4—22no—
1188C22⋊C4—22no—
1189C22⋊C4—41no—
1190C22⋊C4—41no—
1191C22⋊C4—41no—
1192C22⋊C4—41no—
1193C22⋊C4C2×Q8×C1114yes—
1194C22⋊C4C2×Q8×C1114yes—
1195C22⋊C4C11×#4114yes—
1196C42—22no—
1197C42—22no—
1198C42—22no—
1199C42—22no—
1200C42—22no—
1201C42—22no—
1202C42—22no—
1203C42—22no—
1204C42—22no—
1205C42—22no—
1206C42—22no—
1207C42—22no—
1208C42—22no—
1209C42—22no—
1210C42—22no—
1211C42—22no—
1212C42—41no—
1213C42—41no—
1214C42—41no—
1215C42—41no—
1216C42—41no—
1217C42—41no—
1218C42—41no—
1219C42C2×Q8×C1114yes—
1220C42C11×#4114yes—
1221C11#3484011yescharacteristic, direct product factor, Sylow
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23C22×Q8×C1112yes—
1233C23C22×Q8×C1112yes—
1234C23C2×C11×#4112yes—
1235C23C2×C11×#4112yes—
1236C23C25×C1111yescharacteristic
1237Q8—44no—
1238Q8—44no—
1239Q8—44no—
1240D4—28no—
1241C2×C4—28no—
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—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—28no—
1269C2×C4—28no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—44no—
1316C2×C4—44no—
1317C2×C4—44no—
1318C2×C4—44no—
1319C2×C4—44no—
1320C2×C4—44no—
1321C2×C4—44no—
1322C2×C4C22×Q8×C1112yes—
1323C2×C4C22×Q8×C1112yes—
1324C2×C4C22×Q8×C1112yes—
1325C2×C4C22×Q8×C1112yes—
1326C2×C4C22×Q8×C1112yes—
1327C2×C4C2×C11×#4112yes—
1328C2×C4C2×C11×#4112yes—
1329C2×C4C2×C11×#4112yes—
1330C2×C4C2×C11×#4112yes—
1331C2×C4C2×C11×#4112yes—
1332C2×C4C2×C11×#4112yes—
1333C2×C4C2×C11×#4112yes—
1334C2×C4C2×C11×#4112yes—
1335C2×C4C2×C11×#4112yes—
1336C2×C4C2×C11×#4112yes—
1337C2×C4C11×H(5,𝔽2)12yes—
1338C22—22no—
1339C22—22no—
1340C22—22no—
1341C22—22no—
1342C22—22no—
1343C22—22no—
1344C22—22no—
1345C22—22no—
1346C22—22no—
1347C22—41no—
1348C22—41no—
1349C22—41no—
1350C22—41no—
1351C22C11×#53314yes—
1352C22C23×Q8×C1111yescharacteristic
1353C22C22×C11×#4111yescharacteristic
1354C22C22×C11×#4111yescharacteristic
1355C22C22×C11×#4111yescharacteristic
1356C22C22×C11×#4111yescharacteristic
1357C22C2×C11×H(5,𝔽2)11yescharacteristic
1358C22C11×#58511yescharacteristic
1359C4—22no—
1360C4—22no—
1361C4—22no—
1362C4—22no—
1363C4—22no—
1364C4—22no—
1365C4—22no—
1366C4—22no—
1367C4—22no—
1368C4—22no—
1369C4—22no—
1370C4—22no—
1371C4—22no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—41no—
1384C4—41no—
1385C4—41no—
1386C4—41no—
1387C4C11×#55414yes—
1388C2—24no—
1389C2—42no—
1390C2C2×C11×#53311yescharacteristic
1391C2C11×#344411yescharacteristic
1392C2C11×#345911yescharacteristic
1393C2C2×C11×#55411yescharacteristic
1394C2C11×#347511yescharacteristic
1395C2Q8×C11×#4111yescharacteristic
1396C2C11×#348111yescharacteristic
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×#2590C2semidirect
2. C11×#2589C2semidirect
3. C11×#2588C2semidirect
4. C11×#2587C2semidirect
5. C11×#2586C2semidirect
6. C11×#2585C2semidirect
7. C11×#2583C2semidirect
9. C11×#2574C2semidirect
11. C11×#2556C2semidirect
12. C11×#2549C2semidirect
13. C11×#2505C2semidirect
14. C11×#2473C2semidirect
17. C11×#2402C2semidirect
18. C11×#2399C2semidirect
19. C11×#2396C2semidirect
20. C11×#2396C2semidirect
21. C4×C11×#125C2semidirect
22. C4×C11×C22⋊Q8C2semidirect
23. C4×C11×C22⋊Q8C2semidirect
24. C4×C11×C22⋊Q8C2semidirect
25. C4×C11×C22⋊Q8C2semidirect
26. C11×#2296C2semidirect
27. C11×#2295C2semidirect
31. C2×C4×C11×C4⋊C4C2semidirect
211. C4×D4×C11Q8semidirect
361. #34840C11direct (N × H)
524. #2590C2×C11semidirect
525. #2589C2×C11semidirect
526. #2588C2×C11semidirect
527. #2587C2×C11semidirect
528. #2586C2×C11semidirect
529. #2585C2×C11semidirect
530. #2583C2×C11semidirect
532. #2574C2×C11semidirect
534. #2556C2×C11semidirect
535. #2549C2×C11semidirect
536. #2505C2×C11semidirect
537. #2473C2×C11semidirect
540. #2402C2×C11semidirect
541. #2399C2×C11semidirect
542. #2396C2×C11semidirect
543. #2396C2×C11semidirect
544. C4×#125C2×C11semidirect
545. C4×C22⋊Q8C2×C11semidirect
546. C4×C22⋊Q8C2×C11semidirect
547. C4×C22⋊Q8C2×C11semidirect
548. C4×C22⋊Q8C2×C11semidirect
549. #2296C2×C11semidirect
550. #2295C2×C11semidirect
554. C2×C4×C4⋊C4C2×C11semidirect
900. C4×D4Q8×C11semidirect
1221. C11#34840direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#25902
C11×#25892
C11×#25882
C11×#25872
C11×#25862
C11×#25852
C11×#25832
C11×#25792
C11×#25742
C11×#25642
C11×#25562
C11×#25492
C11×#25052
C11×#24732
C11×#24502
C11×#24492
C11×#24022
C11×#23992
C11×#23962
C4×C11×#1252
C4×C11×C22⋊Q82
C11×#22962
C11×#22952
C11×#22902
C42×D4×C112
C2×C4×C11×C4⋊C42
#3484011