Finite Group Databasebeta

← C11×#34459 #14611652

Subgroups — C11×#34459 #14611652

Order 2816.

2060 conjugacy classes of subgroups.

The subgroup lattice has 1384 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#552C211yesmaximal, characteristic
2C11×#2383C211yesmaximal, characteristic, complemented
3C11×#2382C211yesmaximal, characteristic, complemented
4C11×#2382C211yesmaximal, characteristic, complemented
5C11×#2378C211yesmaximal, characteristic, complemented
6C11×#2373C211yesmaximal, characteristic, complemented
7C11×#2370C211yesmaximal, characteristic, complemented
8C11×#2368C211yesmaximal, characteristic, complemented
9C11×#2359C211yesmaximal, characteristic
10C11×#2359C211yesmaximal, characteristic
11C11×#2355C211yesmaximal, characteristic, complemented
12C11×#2349C211yesmaximal, characteristic
13C11×#2344C211yesmaximal, characteristic, complemented
14C11×#2343C211yesmaximal, characteristic, complemented
15C11×#2343C211yesmaximal, characteristic, complemented
16C11×#2343C211yesmaximal, characteristic, complemented
17C11×#2336C211yesmaximal, characteristic, complemented
18C11×#2336C211yesmaximal, characteristic, complemented
19C11×#2334C211yesmaximal, characteristic, complemented
20C11×#2334C211yesmaximal, characteristic, complemented
21C11×#2330C211yesmaximal, characteristic, complemented
22C11×#2329C211yesmaximal, characteristic, complemented
23C11×#2329C211yesmaximal, characteristic, complemented
24C11×#2322C211yesmaximal, characteristic
25C11×#2320C211yesmaximal, characteristic, complemented
26C11×#2318C211yesmaximal, characteristic
27C11×#2317C211yesmaximal, characteristic, complemented
28C11×#2314C211yesmaximal, characteristic, complemented
29C4×C11×#123C211yesmaximal, characteristic
30C11×#2296C211yesmaximal, characteristic, complemented
31C2×C11×#387C211yesmaximal, characteristic, complemented
32C11×#552C4116yescomplemented
33C2×C11×#126C2211yescharacteristic
34C2×C11×#126C2211yescharacteristic
35C2×C11×#125C2211yescharacteristic
36C2×C11×#125C2211yescharacteristic
37C2×C11×#125C2211yescharacteristic
38C2×C11×#123C2211yescharacteristic
39C2×C11×#123C2211yescharacteristic
40C2×C11×C22⋊Q8C2211yescharacteristic
41C2×C11×C22⋊Q8C2211yescharacteristic
42C2×C4×Q8×C11C2211yescharacteristic
43C2×C4×D4×C11C2211yescharacteristic
44C2×C4×D4×C11C2211yescharacteristic
45C2×C4×D4×C11C2211yescharacteristic
46C2×C11×#117C2211yescharacteristic
47C2×C11×#117C2211yescharacteristic
48C2×C11×#117C2211yescharacteristic
49C2×C11×#117C2211yescharacteristic
50C2×C11×#117C2211yescharacteristic
51C22×C11×C4⋊C4C2211yescharacteristic
52C22×C11×C4⋊C4C2211yescharacteristic
53C22×C42×C11C2211yescharacteristic
54C11×#391C2211yescharacteristic
55C11×#391C2211yescharacteristic
56C11×#391C2211yescharacteristic
57C11×#391C2211yescharacteristic
58C11×#389C2211yescharacteristic
59C11×#389C2211yescharacteristic
60C11×#389C2211yescharacteristic
61C11×#389C2211yescharacteristic
62C11×#389C2211yescharacteristic
63C11×#389C2211yescharacteristic
64C11×#389C2211yescharacteristic
65C11×#389C2211yescharacteristic
66C11×#389C2211yescharacteristic
67C11×#389C2211yescharacteristic
68C11×#389C2211yescharacteristic
69C11×#389C2211yescharacteristic
70C11×#389C2211yescharacteristic
71C11×#389C2211yescharacteristic
72C11×#389C2211yescharacteristic
73C11×#389C2211yescharacteristic
74C11×#389C2211yescharacteristic
75C11×#389C2211yescharacteristic
76C11×#388C2211yescharacteristic
77C11×#388C2211yescharacteristic
78C11×#388C2211yescharacteristic
79C11×#388C2211yescharacteristic
80C11×#388C2211yescharacteristic
81C11×#388C2211yescharacteristic
82C11×#388C2211yescharacteristic
83C11×#388C2211yescharacteristic
84C11×#388C2211yescharacteristic
85C11×#388C2211yescharacteristic
86C11×#387C2211yescharacteristic
87C11×#387C2211yescharacteristic
88C11×#387C2211yescharacteristic
89C11×#387C2211yescharacteristic
90C11×#387C2211yescharacteristic
91C11×#387C2211yescharacteristic
92C11×#387C2211yescharacteristic
93C11×#387C2211yescharacteristic
94C11×#387C2211yescharacteristic
95C11×#387C2211yescharacteristic
96C11×#387C2211yescharacteristic
97C11×#387C2211yescharacteristic
98C11×#387C2211yescharacteristic
99C11×#387C2211yescharacteristic
100C11×#387C2211yescharacteristic
101C11×#387C2211yescharacteristic
102C11×#387C2211yescharacteristic
103C11×#387C2211yescharacteristic
104C11×#387C2211yescharacteristic
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×#386C2211yescharacteristic
125C11×#386C2211yescharacteristic
126C11×#385C2211yescharacteristic
127C11×#385C2211yescharacteristic
128C11×#385C2211yescharacteristic
129C11×#385C2211yescharacteristic
130C11×#385C2211yescharacteristic
131C11×#385C2211yescharacteristic
132C11×#385C2211yescharacteristic
133C11×#385C2211yescharacteristic
134C11×#385C2211yescharacteristic
135C11×#385C2211yescharacteristic
136C11×#385C2211yescharacteristic
137C11×#385C2211yescharacteristic
138C11×#385C2211yescharacteristic
139C11×#385C2211yescharacteristic
140C11×#384C2211yescharacteristic
141C11×#384C2211yescharacteristic
142C11×#383C2211yescharacteristic
143C11×#383C2211yescharacteristic
144C11×#383C2211yescharacteristic
145C11×#382C2211yescharacteristic
146C11×#382C2211yescharacteristic
147C11×#382C2211yescharacteristic
148C11×#382C2211yescharacteristic
149C11×#382C2211yescharacteristic
150C11×#382C2211yescharacteristic
151C11×#381C2211yescharacteristic
152C11×#381C2211yescharacteristic
153C11×#381C2211yescharacteristic
154C11×#380C2211yescharacteristic
155C11×#380C2211yescharacteristic
156C11×#380C2211yescharacteristic
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
181C11×#376C2211yescharacteristic
182C11×#376C2211yescharacteristic
183C2×C11×#95C2211yescharacteristic
184C2×C11×#95C2211yescharacteristic
185C2×C11×#95C2211yescharacteristic
186C2×C11×#95C2211yescharacteristic
187C2×C11×#95C2211yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×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
200C11×#126C2×C418yescomplemented
201C11×#126C2×C418yescomplemented
202C11×#125C2×C418yescomplemented
203C11×#125C2×C418yescomplemented
204C11×#125C2×C418yescomplemented
205C11×#123C2×C418yes—
206C11×#123C2×C418yes—
207C11×C22⋊Q8C2×C418yescomplemented
208C11×C22⋊Q8C2×C418yescomplemented
209C4×Q8×C11C2×C418yescomplemented
210C4×D4×C11—42no—
211C4×D4×C11—42no—
212C4×D4×C11C2×C418yes—
213C11×#117—42no—
214C11×#117—42no—
215C11×#117C2×C418yescomplemented
216C11×#117C2×C418yescomplemented
217C11×#117C2×C418yescomplemented
218C2×C11×C4⋊C4—42no—
219C2×C11×C4⋊C4C2×C418yescomplemented
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×C4⋊C4C2311yescharacteristic
263C2×C11×C4⋊C4C2311yescharacteristic
264C2×C11×C22⋊C4C2311yescharacteristic
265C2×C11×C22⋊C4C2311yescharacteristic
266C2×C11×C22⋊C4C2311yescharacteristic
267C2×C11×C22⋊C4C2311yescharacteristic
268C2×C11×C22⋊C4C2311yescharacteristic
269C2×C11×C22⋊C4C2311yescharacteristic
270C2×C11×C22⋊C4C2311yescharacteristic
271C2×C11×C22⋊C4C2311yescharacteristic
272C2×C11×C22⋊C4C2311yescharacteristic
273C2×C11×C22⋊C4C2311yescharacteristic
274C2×C11×C22⋊C4C2311yescharacteristic
275C2×C11×C22⋊C4C2311yescharacteristic
276C2×C11×C22⋊C4C2311yescharacteristic
277C2×C11×C22⋊C4C2311yescharacteristic
278C2×C11×C22⋊C4C2311yescharacteristic
279C2×C11×C22⋊C4C2311yescharacteristic
280C2×C11×C22⋊C4C2311yescharacteristic
281C2×C11×C22⋊C4C2311yescharacteristic
282C2×C42×C11—42no—
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
305C2×C42×C11C2311yescharacteristic
306C2×C42×C11C2311yescharacteristic
307C2×C42×C11C2311yescharacteristic
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
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11×#95C2311yescharacteristic
363C11×#95C2311yescharacteristic
364#34459C1111yesmaximal, characteristic, direct product factor, Sylow
365C24×C11C2411yescharacteristic
366C24×C11C2411yescharacteristic
367C2×Q8×C11—41no—
368C2×Q8×C11—41no—
369C2×Q8×C11C22×C414yes—
370C2×D4×C11—22no—
371C2×D4×C11—22no—
372C2×D4×C11C22×C414yes—
373C22×C4×C11—22no—
374C22×C4×C11—22no—
375C22×C4×C11—22no—
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—41no—
384C22×C4×C11—41no—
385C22×C4×C11—41no—
386C22×C4×C11—41no—
387C22×C4×C11—41no—
388C22×C4×C11—41no—
389C22×C4×C11—41no—
390C22×C4×C11—41no—
391C22×C4×C11—41no—
392C22×C4×C11—41no—
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×C11C22×C414yes—
400C22×C4×C11C22×C414yes—
401C22×C4×C11C22×C414yes—
402C22×C4×C11C22×C414yes—
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
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
432C11×C4⋊C4—22no—
433C11×C4⋊C4—22no—
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⋊C4—41no—
446C11×C4⋊C4—41no—
447C11×C4⋊C4—41no—
448C11×C4⋊C4—41no—
449C11×C4⋊C4—41no—
450C11×C4⋊C4—41no—
451C11×C4⋊C4—41no—
452C11×C4⋊C4—41no—
453C11×C4⋊C4—41no—
454C11×C4⋊C4—41no—
455C11×C4⋊C4—41no—
456C11×C4⋊C4—41no—
457C11×C4⋊C4—41no—
458C11×C4⋊C4—41no—
459C11×C4⋊C4—41no—
460C11×C4⋊C4C22×C414yes—
461C11×C4⋊C4C22×C414yes—
462C11×C4⋊C4C22×C414yes—
463C11×C4⋊C4C22×C414yes—
464C11×C4⋊C4C22×C414yes—
465C11×C4⋊C4C22×C414yes—
466C11×C4⋊C4C22×C414yes—
467C11×C4⋊C4C22×C414yes—
468C11×C4⋊C4C22×C414yes—
469C11×C4⋊C4C22×C414yes—
470C11×C4⋊C4C22×C414yes—
471C11×C4⋊C4C22×C414yes—
472C11×C4⋊C4C22×C414yes—
473C11×C4⋊C4C22×C414yes—
474C11×C4⋊C4C22×C414yes—
475C11×C4⋊C4C22×C414yes—
476C11×C22⋊C4—22no—
477C11×C22⋊C4—22no—
478C11×C22⋊C4—22no—
479C11×C22⋊C4—22no—
480C11×C22⋊C4—41no—
481C11×C22⋊C4—41no—
482C11×C22⋊C4—41no—
483C11×C22⋊C4—41no—
484C11×C22⋊C4—41no—
485C11×C22⋊C4—41no—
486C11×C22⋊C4C22×C414yes—
487C11×C22⋊C4C22×C414yes—
488C11×C22⋊C4C22×C414yes—
489C11×C22⋊C4C22×C414yes—
490C11×C22⋊C4C22×C414yes—
491C11×C22⋊C4C22×C414yes—
492C11×C22⋊C4C22×C414yes—
493C11×C22⋊C4C22×C414yes—
494C42×C11—22no—
495C42×C11—41no—
496C42×C11—41no—
497C42×C11—41no—
498C42×C11—41no—
499C42×C11—41no—
500C42×C11—41no—
501C42×C11—41no—
502C42×C11—41no—
503C42×C11—41no—
504C42×C11—41no—
505C42×C11—41no—
506C42×C11—41no—
507C42×C11—41no—
508C42×C11—41no—
509C42×C11—41no—
510C42×C11—41no—
511C42×C11—41no—
512C42×C11—41no—
513C42×C11—41no—
514C42×C11C22×C414yes—
515C42×C11C22×C414yes—
516C42×C11C22×C414yes—
517C42×C11C22×C414yes—
518C42×C11C22×C414yes—
519C2×#552C2×C1111yescharacteristic
520#2383C2×C1111yescharacteristic, complemented
521#2382C2×C1111yescharacteristic, complemented
522#2382C2×C1111yescharacteristic, complemented
523#2378C2×C1111yescharacteristic, complemented
524#2373C2×C1111yescharacteristic, complemented
525#2370C2×C1111yescharacteristic, complemented
526#2368C2×C1111yescharacteristic, complemented
527#2359C2×C1111yescharacteristic
528#2359C2×C1111yescharacteristic
529#2355C2×C1111yescharacteristic, complemented
530#2349C2×C1111yescharacteristic
531#2344C2×C1111yescharacteristic, complemented
532#2343C2×C1111yescharacteristic, complemented
533#2343C2×C1111yescharacteristic, complemented
534#2343C2×C1111yescharacteristic, complemented
535#2336C2×C1111yescharacteristic, complemented
536#2336C2×C1111yescharacteristic, complemented
537#2334C2×C1111yescharacteristic, complemented
538#2334C2×C1111yescharacteristic, complemented
539#2330C2×C1111yescharacteristic, complemented
540#2329C2×C1111yescharacteristic, complemented
541#2329C2×C1111yescharacteristic, complemented
542#2322C2×C1111yescharacteristic
543#2320C2×C1111yescharacteristic, complemented
544#2318C2×C1111yescharacteristic
545#2317C2×C1111yescharacteristic, complemented
546#2314C2×C1111yescharacteristic, complemented
547C4×#123C2×C1111yescharacteristic
548#2296C2×C1111yescharacteristic, complemented
549C2×#387C2×C1111yescharacteristic, complemented
550C23×C11—21no—
551C23×C11—21no—
552C23×C11—21no—
553C23×C11—21no—
554C23×C11—21no—
555C23×C11—21no—
556C23×C11—21no—
557C23×C11—21no—
558C23×C11—21no—
559C23×C11—21no—
560C23×C11C23×C412yes—
561C23×C11C23×C412yes—
562C23×C11H(5,𝔽2)12yes—
563C23×C112−1+412yes—
564C23×C11C2511yescharacteristic
565Q8×C11—44no—
566D4×C11—28no—
567C2×C4×C11—28no—
568C2×C4×C11—28no—
569C2×C4×C11—21no—
570C2×C4×C11—21no—
571C2×C4×C11—21no—
572C2×C4×C11—21no—
573C2×C4×C11—21no—
574C2×C4×C11—21no—
575C2×C4×C11—21no—
576C2×C4×C11—21no—
577C2×C4×C11—21no—
578C2×C4×C11—21no—
579C2×C4×C11—21no—
580C2×C4×C11—21no—
581C2×C4×C11—21no—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—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—44no—
643C2×C4×C11—44no—
644C2×C4×C11—44no—
645C2×C4×C11—44no—
646C2×C4×C11—82no—
647C2×C4×C11—82no—
648C2×C4×C11—82no—
649C2×C4×C11—82no—
650C2×C4×C11C23×C412yes—
651C2×C4×C11C23×C412yes—
652C2×C4×C11C23×C412yes—
653C2×C4×C11C23×C412yes—
654C2×C4×C11C23×C412yes—
655C2×C4×C11C23×C412yes—
656C2×C4×C11C23×C412yes—
657C2×C4×C11C23×C412yes—
658C2×C4×C11C23×C412yes—
659C2×C4×C11C23×C412yes—
660C2×C4×C11C23×C412yes—
661C2×C4×C11C23×C412yes—
662C2×C4×C11C23×C412yes—
663C2×C4×C112−1+412yes—
664#552C4×C11116yescomplemented
665C2×#126C22×C1111yescharacteristic
666C2×#126C22×C1111yescharacteristic
667C2×#125C22×C1111yescharacteristic
668C2×#125C22×C1111yescharacteristic
669C2×#125C22×C1111yescharacteristic
670C2×#123C22×C1111yescharacteristic
671C2×#123C22×C1111yescharacteristic
672C2×C22⋊Q8C22×C1111yescharacteristic
673C2×C22⋊Q8C22×C1111yescharacteristic
674C2×C4×Q8C22×C1111yescharacteristic
675C2×C4×D4C22×C1111yescharacteristic
676C2×C4×D4C22×C1111yescharacteristic
677C2×C4×D4C22×C1111yescharacteristic
678C2×#117C22×C1111yescharacteristic
679C2×#117C22×C1111yescharacteristic
680C2×#117C22×C1111yescharacteristic
681C2×#117C22×C1111yescharacteristic
682C2×#117C22×C1111yescharacteristic
683C22×C4⋊C4C22×C1111yescharacteristic
684C22×C4⋊C4C22×C1111yescharacteristic
685C22×C42C22×C1111yescharacteristic
686#391C22×C1111yescharacteristic
687#391C22×C1111yescharacteristic
688#391C22×C1111yescharacteristic
689#391C22×C1111yescharacteristic
690#389C22×C1111yescharacteristic
691#389C22×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#389C22×C1111yescharacteristic
703#389C22×C1111yescharacteristic
704#389C22×C1111yescharacteristic
705#389C22×C1111yescharacteristic
706#389C22×C1111yescharacteristic
707#389C22×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#387C22×C1111yescharacteristic
719#387C22×C1111yescharacteristic
720#387C22×C1111yescharacteristic
721#387C22×C1111yescharacteristic
722#387C22×C1111yescharacteristic
723#387C22×C1111yescharacteristic
724#387C22×C1111yescharacteristic
725#387C22×C1111yescharacteristic
726#387C22×C1111yescharacteristic
727#387C22×C1111yescharacteristic
728#387C22×C1111yescharacteristic
729#387C22×C1111yescharacteristic
730#387C22×C1111yescharacteristic
731#387C22×C1111yescharacteristic
732#387C22×C1111yescharacteristic
733#387C22×C1111yescharacteristic
734#387C22×C1111yescharacteristic
735#387C22×C1111yescharacteristic
736#387C22×C1111yescharacteristic
737#387C22×C1111yescharacteristic
738#387C22×C1111yescharacteristic
739#387C22×C1111yescharacteristic
740#387C22×C1111yescharacteristic
741#387C22×C1111yescharacteristic
742#387C22×C1111yescharacteristic
743#387C22×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#386C22×C1111yescharacteristic
757#386C22×C1111yescharacteristic
758#385C22×C1111yescharacteristic
759#385C22×C1111yescharacteristic
760#385C22×C1111yescharacteristic
761#385C22×C1111yescharacteristic
762#385C22×C1111yescharacteristic
763#385C22×C1111yescharacteristic
764#385C22×C1111yescharacteristic
765#385C22×C1111yescharacteristic
766#385C22×C1111yescharacteristic
767#385C22×C1111yescharacteristic
768#385C22×C1111yescharacteristic
769#385C22×C1111yescharacteristic
770#385C22×C1111yescharacteristic
771#385C22×C1111yescharacteristic
772#384C22×C1111yescharacteristic
773#384C22×C1111yescharacteristic
774#383C22×C1111yescharacteristic
775#383C22×C1111yescharacteristic
776#383C22×C1111yescharacteristic
777#382C22×C1111yescharacteristic
778#382C22×C1111yescharacteristic
779#382C22×C1111yescharacteristic
780#382C22×C1111yescharacteristic
781#382C22×C1111yescharacteristic
782#382C22×C1111yescharacteristic
783#381C22×C1111yescharacteristic
784#381C22×C1111yescharacteristic
785#381C22×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×C22⋊C4C22×C1111yescharacteristic
805C4×C22⋊C4C22×C1111yescharacteristic
806C4×C22⋊C4C22×C1111yescharacteristic
807C4×C22⋊C4C22×C1111yescharacteristic
808C4×C22⋊C4C22×C1111yescharacteristic
809C4×C22⋊C4C22×C1111yescharacteristic
810C4×C22⋊C4C22×C1111yescharacteristic
811C4×C22⋊C4C22×C1111yescharacteristic
812C4×C22⋊C4C22×C1111yescharacteristic
813#376C22×C1111yescharacteristic
814#376C22×C1111yescharacteristic
815C2×#95C22×C1111yescharacteristic
816C2×#95C22×C1111yescharacteristic
817C2×#95C22×C1111yescharacteristic
818C2×#95C22×C1111yescharacteristic
819C2×#95C22×C1111yescharacteristic
820C22×C11—22no—
821C22×C11—22no—
822C22×C11—22no—
823C22×C11—22no—
824C22×C11—22no—
825C22×C11—22no—
826C22×C11—22no—
827C22×C11—22no—
828C22×C11—22no—
829C22×C11—41no—
830C22×C11—41no—
831C22×C11—41no—
832C22×C11—41no—
833C22×C11#52014yes—
834C22×C11C24×C411yescharacteristic
835C22×C11C2×H(5,𝔽2)11yescharacteristic
836C22×C11C2×2−1+411yescharacteristic
837C22×C11C2×2−1+411yescharacteristic
838C22×C11#58511yescharacteristic
839C22×C11#58511yescharacteristic
840C22×C11#58511yescharacteristic
841C4×C11—22no—
842C4×C11—22no—
843C4×C11—22no—
844C4×C11—22no—
845C4×C11—22no—
846C4×C11—22no—
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—41no—
856C4×C11—41no—
857C4×C11—41no—
858C4×C11—41no—
859C4×C11—41no—
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—
870C22×Q8C23×C1111yescharacteristic
871C22×D4C23×C1111yescharacteristic
872C23×C4C23×C1111yescharacteristic
873C23×C4C23×C1111yescharacteristic
874C23×C4C23×C1111yescharacteristic
875C23×C4C23×C1111yescharacteristic
876C23×C4C23×C1111yescharacteristic
877C23×C4C23×C1111yescharacteristic
878C23×C4C23×C1111yescharacteristic
879C23×C4C23×C1111yescharacteristic
880C23×C4C23×C1111yescharacteristic
881C23×C4C23×C1111yescharacteristic
882#126C2×C4×C1118yescomplemented
883#126C2×C4×C1118yescomplemented
884#125C2×C4×C1118yescomplemented
885#125C2×C4×C1118yescomplemented
886#125C2×C4×C1118yescomplemented
887#123C2×C4×C1118yes—
888#123C2×C4×C1118yes—
889C22⋊Q8C2×C4×C1118yescomplemented
890C22⋊Q8C2×C4×C1118yescomplemented
891C4×Q8C2×C4×C1118yescomplemented
892C4×D4—42no—
893C4×D4—42no—
894C4×D4C2×C4×C1118yes—
895#117—42no—
896#117—42no—
897#117C2×C4×C1118yescomplemented
898#117C2×C4×C1118yescomplemented
899#117C2×C4×C1118yescomplemented
900C2×C4⋊C4—42no—
901C2×C4⋊C4C2×C4×C1118yescomplemented
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×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×C22⋊C4C23×C1111yescharacteristic
947C2×C22⋊C4C23×C1111yescharacteristic
948C2×C22⋊C4C23×C1111yescharacteristic
949C2×C22⋊C4C23×C1111yescharacteristic
950C2×C22⋊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×C42—42no—
965C2×C42C23×C1111yescharacteristic
966C2×C42C23×C1111yescharacteristic
967C2×C42C23×C1111yescharacteristic
968C2×C42C23×C1111yescharacteristic
969C2×C42C23×C1111yescharacteristic
970C2×C42C23×C1111yescharacteristic
971C2×C42C23×C1111yescharacteristic
972C2×C42C23×C1111yescharacteristic
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
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
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
1046C2×C11—24no—
1047C2×C11—42no—
1048C2×C11C2×#52011yescharacteristic
1049C2×C11#342811yescharacteristic
1050C2×C11C4×2−1+411yescharacteristic
1051C2×C11#353311yescharacteristic
1052C2×C11#353511yescharacteristic
1053C2×C11#356311yescharacteristic
1054C2×C11#356411yescharacteristic
1055C24C24×C1111yescharacteristic
1056C24C24×C1111yescharacteristic
1057C2×Q8—41no—
1058C2×Q8—41no—
1059C2×Q8C22×C4×C1114yes—
1060C2×D4—22no—
1061C2×D4—22no—
1062C2×D4C22×C4×C1114yes—
1063C22×C4—22no—
1064C22×C4—22no—
1065C22×C4—22no—
1066C22×C4—22no—
1067C22×C4—22no—
1068C22×C4—22no—
1069C22×C4—22no—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—41no—
1074C22×C4—41no—
1075C22×C4—41no—
1076C22×C4—41no—
1077C22×C4—41no—
1078C22×C4—41no—
1079C22×C4—41no—
1080C22×C4—41no—
1081C22×C4—41no—
1082C22×C4—41no—
1083C22×C4—41no—
1084C22×C4—41no—
1085C22×C4—41no—
1086C22×C4—41no—
1087C22×C4—41no—
1088C22×C4—41no—
1089C22×C4C22×C4×C1114yes—
1090C22×C4C22×C4×C1114yes—
1091C22×C4C22×C4×C1114yes—
1092C22×C4C22×C4×C1114yes—
1093C22×C4C24×C1111yescharacteristic
1094C22×C4C24×C1111yescharacteristic
1095C22×C4C24×C1111yescharacteristic
1096C22×C4C24×C1111yescharacteristic
1097C22×C4C24×C1111yescharacteristic
1098C22×C4C24×C1111yescharacteristic
1099C22×C4C24×C1111yescharacteristic
1100C22×C4C24×C1111yescharacteristic
1101C22×C4C24×C1111yescharacteristic
1102C22×C4C24×C1111yescharacteristic
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
1122C4⋊C4—22no—
1123C4⋊C4—22no—
1124C4⋊C4—41no—
1125C4⋊C4—41no—
1126C4⋊C4—41no—
1127C4⋊C4—41no—
1128C4⋊C4—41no—
1129C4⋊C4—41no—
1130C4⋊C4—41no—
1131C4⋊C4—41no—
1132C4⋊C4—41no—
1133C4⋊C4—41no—
1134C4⋊C4—41no—
1135C4⋊C4—41no—
1136C4⋊C4—41no—
1137C4⋊C4—41no—
1138C4⋊C4—41no—
1139C4⋊C4—41no—
1140C4⋊C4—41no—
1141C4⋊C4—41no—
1142C4⋊C4—41no—
1143C4⋊C4—41no—
1144C4⋊C4—41no—
1145C4⋊C4—41no—
1146C4⋊C4—41no—
1147C4⋊C4—41no—
1148C4⋊C4—41no—
1149C4⋊C4—41no—
1150C4⋊C4C22×C4×C1114yes—
1151C4⋊C4C22×C4×C1114yes—
1152C4⋊C4C22×C4×C1114yes—
1153C4⋊C4C22×C4×C1114yes—
1154C4⋊C4C22×C4×C1114yes—
1155C4⋊C4C22×C4×C1114yes—
1156C4⋊C4C22×C4×C1114yes—
1157C4⋊C4C22×C4×C1114yes—
1158C4⋊C4C22×C4×C1114yes—
1159C4⋊C4C22×C4×C1114yes—
1160C4⋊C4C22×C4×C1114yes—
1161C4⋊C4C22×C4×C1114yes—
1162C4⋊C4C22×C4×C1114yes—
1163C4⋊C4C22×C4×C1114yes—
1164C4⋊C4C22×C4×C1114yes—
1165C4⋊C4C22×C4×C1114yes—
1166C22⋊C4—22no—
1167C22⋊C4—22no—
1168C22⋊C4—22no—
1169C22⋊C4—22no—
1170C22⋊C4—41no—
1171C22⋊C4—41no—
1172C22⋊C4—41no—
1173C22⋊C4—41no—
1174C22⋊C4—41no—
1175C22⋊C4—41no—
1176C22⋊C4C22×C4×C1114yes—
1177C22⋊C4C22×C4×C1114yes—
1178C22⋊C4C22×C4×C1114yes—
1179C22⋊C4C22×C4×C1114yes—
1180C22⋊C4C22×C4×C1114yes—
1181C22⋊C4C22×C4×C1114yes—
1182C22⋊C4C22×C4×C1114yes—
1183C22⋊C4C22×C4×C1114yes—
1184C42—22no—
1185C42—41no—
1186C42—41no—
1187C42—41no—
1188C42—41no—
1189C42—41no—
1190C42—41no—
1191C42—41no—
1192C42—41no—
1193C42—41no—
1194C42—41no—
1195C42—41no—
1196C42—41no—
1197C42—41no—
1198C42—41no—
1199C42—41no—
1200C42—41no—
1201C42—41no—
1202C42—41no—
1203C42—41no—
1204C42C22×C4×C1114yes—
1205C42C22×C4×C1114yes—
1206C42C22×C4×C1114yes—
1207C42C22×C4×C1114yes—
1208C42C22×C4×C1114yes—
1209C11#3445911yescharacteristic, direct product factor, Sylow
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23C23×C4×C1112yes—
1221C23C23×C4×C1112yes—
1222C23C11×H(5,𝔽2)12yes—
1223C23C11×2−1+412yes—
1224C23C25×C1111yescharacteristic
1225Q8—44no—
1226D4—28no—
1227C2×C4—28no—
1228C2×C4—28no—
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—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
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—44no—
1303C2×C4—44no—
1304C2×C4—44no—
1305C2×C4—44no—
1306C2×C4—82no—
1307C2×C4—82no—
1308C2×C4—82no—
1309C2×C4—82no—
1310C2×C4C23×C4×C1112yes—
1311C2×C4C23×C4×C1112yes—
1312C2×C4C23×C4×C1112yes—
1313C2×C4C23×C4×C1112yes—
1314C2×C4C23×C4×C1112yes—
1315C2×C4C23×C4×C1112yes—
1316C2×C4C23×C4×C1112yes—
1317C2×C4C23×C4×C1112yes—
1318C2×C4C23×C4×C1112yes—
1319C2×C4C23×C4×C1112yes—
1320C2×C4C23×C4×C1112yes—
1321C2×C4C23×C4×C1112yes—
1322C2×C4C23×C4×C1112yes—
1323C2×C4C11×2−1+412yes—
1324C22—22no—
1325C22—22no—
1326C22—22no—
1327C22—22no—
1328C22—22no—
1329C22—22no—
1330C22—22no—
1331C22—22no—
1332C22—22no—
1333C22—41no—
1334C22—41no—
1335C22—41no—
1336C22—41no—
1337C22C11×#52014yes—
1338C22C24×C4×C1111yescharacteristic
1339C22C2×C11×H(5,𝔽2)11yescharacteristic
1340C22C2×C11×2−1+411yescharacteristic
1341C22C2×C11×2−1+411yescharacteristic
1342C22C11×#58511yescharacteristic
1343C22C11×#58511yescharacteristic
1344C22C11×#58511yescharacteristic
1345C4—22no—
1346C4—22no—
1347C4—22no—
1348C4—22no—
1349C4—22no—
1350C4—22no—
1351C4—22no—
1352C4—22no—
1353C4—22no—
1354C4—22no—
1355C4—22no—
1356C4—22no—
1357C4—22no—
1358C4—22no—
1359C4—41no—
1360C4—41no—
1361C4—41no—
1362C4—41no—
1363C4—41no—
1364C4—41no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C2—24no—
1375C2—42no—
1376C2C2×C11×#52011yescharacteristic
1377C2C11×#342811yescharacteristic
1378C2C4×C11×2−1+411yescharacteristic
1379C2C11×#353311yescharacteristic
1380C2C11×#353511yescharacteristic
1381C2C11×#356311yescharacteristic
1382C2C11×#356411yescharacteristic
subgroupG/H
center, socleC23×C11C25
commutatorC22C24×C4×C11
Frattini, cosocleC23C25×C11
prime radicalC22×D4×C11C23
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C11×#2383C2semidirect
3. C11×#2382C2semidirect
4. C11×#2382C2semidirect
5. C11×#2378C2semidirect
6. C11×#2373C2semidirect
7. C11×#2370C2semidirect
8. C11×#2368C2semidirect
11. C11×#2355C2semidirect
13. C11×#2344C2semidirect
14. C11×#2343C2semidirect
15. C11×#2343C2semidirect
16. C11×#2343C2semidirect
17. C11×#2336C2semidirect
18. C11×#2336C2semidirect
19. C11×#2334C2semidirect
20. C11×#2334C2semidirect
21. C11×#2330C2semidirect
22. C11×#2329C2semidirect
23. C11×#2329C2semidirect
25. C11×#2320C2semidirect
27. C11×#2317C2semidirect
28. C11×#2314C2semidirect
30. C11×#2296C2semidirect
31. C2×C11×#387C2semidirect
32. C11×#552C4semidirect
200. C11×#126C2×C4semidirect
201. C11×#126C2×C4semidirect
202. C11×#125C2×C4semidirect
203. C11×#125C2×C4semidirect
204. C11×#125C2×C4semidirect
207. C11×C22⋊Q8C2×C4semidirect
208. C11×C22⋊Q8C2×C4semidirect
209. C4×Q8×C11C2×C4semidirect
215. C11×#117C2×C4semidirect
216. C11×#117C2×C4semidirect
217. C11×#117C2×C4semidirect
219. C2×C11×C4⋊C4C2×C4semidirect
364. #34459C11direct (N × H)
520. #2383C2×C11semidirect
521. #2382C2×C11semidirect
522. #2382C2×C11semidirect
523. #2378C2×C11semidirect
524. #2373C2×C11semidirect
525. #2370C2×C11semidirect
526. #2368C2×C11semidirect
529. #2355C2×C11semidirect
531. #2344C2×C11semidirect
532. #2343C2×C11semidirect
533. #2343C2×C11semidirect
534. #2343C2×C11semidirect
535. #2336C2×C11semidirect
536. #2336C2×C11semidirect
537. #2334C2×C11semidirect
538. #2334C2×C11semidirect
539. #2330C2×C11semidirect
540. #2329C2×C11semidirect
541. #2329C2×C11semidirect
543. #2320C2×C11semidirect
545. #2317C2×C11semidirect
546. #2314C2×C11semidirect
548. #2296C2×C11semidirect
549. C2×#387C2×C11semidirect
664. #552C4×C11semidirect
882. #126C2×C4×C11semidirect
883. #126C2×C4×C11semidirect
884. #125C2×C4×C11semidirect
885. #125C2×C4×C11semidirect
886. #125C2×C4×C11semidirect
889. C22⋊Q8C2×C4×C11semidirect
890. C22⋊Q8C2×C4×C11semidirect
891. C4×Q8C2×C4×C11semidirect
897. #117C2×C4×C11semidirect
898. #117C2×C4×C11semidirect
899. #117C2×C4×C11semidirect
901. C2×C4⋊C4C2×C4×C11semidirect
1209. C11#34459direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#5522
C11×#23832
C11×#23822
C11×#23782
C11×#23732
C11×#23702
C11×#23682
C11×#23592
C11×#23552
C11×#23492
C11×#23442
C11×#23432
C11×#23362
C11×#23342
C11×#23302
C11×#23292
C11×#23222
C11×#23202
C11×#23182
C11×#23172
C11×#23142
C4×C11×#1232
C11×#22962
C2×C11×#3872
#3445911