Finite Group Databasebeta

← C11×#34999 #14612192

Subgroups — C11×#34999 #14612192

Order 2816.

2062 conjugacy classes of subgroups.

The subgroup lattice has 1498 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2855C211yesmaximal, characteristic, complemented
2C11×#2853C211yesmaximal, characteristic, complemented
3C11×#2852C211yesmaximal, characteristic, complemented
4C11×#2851C211yesmaximal, characteristic, complemented
5C11×#2653C211yesmaximal, characteristic, complemented
6C11×#2652C211yesmaximal, characteristic, complemented
7C11×#2652C211yesmaximal, characteristic, complemented
8C11×#2649C211yesmaximal, characteristic, complemented
9C11×#2523C211yesmaximal, characteristic, complemented
10C11×#2517C211yesmaximal, characteristic, complemented
11C11×#2505C211yesmaximal, characteristic, complemented
12C11×#2493C211yesmaximal, characteristic, complemented
13C11×#2493C211yesmaximal, characteristic, complemented
14C11×#2488C211yesmaximal, characteristic, complemented
15C11×#2483C211yesmaximal, characteristic, complemented
16C11×#2481C211yesmaximal, characteristic, complemented
17C11×#2473C211yesmaximal, characteristic, complemented
18C11×#2466C211yesmaximal, characteristic, complemented
19C11×#2460C211yesmaximal, characteristic, complemented
20C11×#2450C211yesmaximal, characteristic, complemented
21C11×#2437C211yesmaximal, characteristic, complemented
22C11×#2419C211yesmaximal, characteristic, complemented
23C11×#2412C211yesmaximal, characteristic
24C11×#2412C211yesmaximal, characteristic
25C11×#2329C211yesmaximal, characteristic, complemented
26C11×#2322C211yesmaximal, characteristic, complemented
27C11×#2318C211yesmaximal, characteristic, complemented
28C11×#2313C211yesmaximal, characteristic, complemented
29C4×C11×#120C211yesmaximal, characteristic
30C2×C11×#385C211yesmaximal, characteristic, complemented
31C2×C4×C11×C22⋊C4C211yesmaximal, characteristic, complemented
32C24×C4×C11C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic, complemented
34C2×C11×#125C2211yescharacteristic, complemented
35C2×C11×#123C2211yescharacteristic
36C2×C11×#123C2211yescharacteristic
37C2×C11×C22⋊Q8C2211yescharacteristic
38C2×C11×C22⋊Q8C2211yescharacteristic
39C2×C11×#120C2211yescharacteristic
40C2×C4×D4×C11C2211yescharacteristic
41C2×C4×D4×C11C2211yescharacteristic
42C2×C4×D4×C11C2211yescharacteristic
43C22×C11×C4⋊C4C2211yescharacteristic
44C22×C11×C4⋊C4C2211yescharacteristic
45C22×C11×C22⋊C4C2211yescharacteristic
46C22×C11×C22⋊C4C2211yescharacteristic
47C22×C11×C22⋊C4C2211yescharacteristic
48C22×C11×C22⋊C4C2211yescharacteristic
49C22×C42×C11C2211yescharacteristic
50C22×C42×C11C2211yescharacteristic
51C11×#401C2211yescharacteristic, complemented
52C11×#400C2211yescharacteristic, complemented
53C11×#400C2211yescharacteristic, complemented
54C11×#400C2211yescharacteristic, complemented
55C11×#400C2211yescharacteristic, complemented
56C11×#400C2211yescharacteristic, complemented
57C11×#400C2211yescharacteristic, complemented
58C11×#400C2211yescharacteristic, complemented
59C11×#400C2211yescharacteristic, complemented
60C11×#399C2211yescharacteristic
61C11×#398C2211yescharacteristic, complemented
62C11×#398C2211yescharacteristic, complemented
63C11×#398C2211yescharacteristic, complemented
64C11×#397C2211yescharacteristic
65C11×#397C2211yescharacteristic
66C11×#397C2211yescharacteristic
67C11×#397C2211yescharacteristic
68C11×#397C2211yescharacteristic
69C11×#397C2211yescharacteristic
70C11×#397C2211yescharacteristic
71C11×#397C2211yescharacteristic
72C11×#397C2211yescharacteristic, complemented
73C11×#397C2211yescharacteristic, complemented
74C11×#396C2211yescharacteristic
75C11×#396C2211yescharacteristic
76C11×#396C2211yescharacteristic, complemented
77C11×#394C2211yescharacteristic
78C11×#394C2211yescharacteristic
79C11×#394C2211yescharacteristic
80C11×#394C2211yescharacteristic
81C11×#393C2211yescharacteristic
82C11×#393C2211yescharacteristic, complemented
83C11×#391C2211yescharacteristic, complemented
84C11×#391C2211yescharacteristic, complemented
85C11×#391C2211yescharacteristic, complemented
86C11×#389C2211yescharacteristic, complemented
87C11×#389C2211yescharacteristic, complemented
88C11×#389C2211yescharacteristic, complemented
89C11×#389C2211yescharacteristic, complemented
90C11×#389C2211yescharacteristic, complemented
91C11×#388C2211yescharacteristic, complemented
92C11×#388C2211yescharacteristic, complemented
93C11×#388C2211yescharacteristic, complemented
94C11×#388C2211yescharacteristic, complemented
95C11×#388C2211yescharacteristic, complemented
96C11×#388C2211yescharacteristic, complemented
97C11×#388C2211yescharacteristic, complemented
98C11×#387C2211yescharacteristic, complemented
99C11×#387C2211yescharacteristic, complemented
100C11×#387C2211yescharacteristic, complemented
101C11×#387C2211yescharacteristic, complemented
102C11×#387C2211yescharacteristic, complemented
103C11×#387C2211yescharacteristic, complemented
104C11×#387C2211yescharacteristic, complemented
105C11×#387C2211yescharacteristic, complemented
106C11×#387C2211yescharacteristic, complemented
107C11×#387C2211yescharacteristic, complemented
108C11×#387C2211yescharacteristic, complemented
109C11×#387C2211yescharacteristic, complemented
110C11×#387C2211yescharacteristic, complemented
111C11×#387C2211yescharacteristic, complemented
112C11×#387C2211yescharacteristic, complemented
113C11×#387C2211yescharacteristic, complemented
114C11×#387C2211yescharacteristic, complemented
115C11×#387C2211yescharacteristic, complemented
116C11×#387C2211yescharacteristic, complemented
117C11×#387C2211yescharacteristic, complemented
118C11×#387C2211yescharacteristic, complemented
119C11×#387C2211yescharacteristic, complemented
120C11×#387C2211yescharacteristic, complemented
121C11×#386C2211yescharacteristic
122C11×#386C2211yescharacteristic
123C11×#386C2211yescharacteristic
124C11×#386C2211yescharacteristic
125C11×#386C2211yescharacteristic
126C11×#386C2211yescharacteristic
127C11×#386C2211yescharacteristic
128C11×#386C2211yescharacteristic
129C11×#386C2211yescharacteristic
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×#385C2211yescharacteristic
146C11×#385C2211yescharacteristic
147C11×#385C2211yescharacteristic
148C11×#385C2211yescharacteristic
149C11×#385C2211yescharacteristic
150C11×#385C2211yescharacteristic
151C11×#385C2211yescharacteristic, complemented
152C11×#385C2211yescharacteristic, complemented
153C11×#383C2211yescharacteristic, complemented
154C11×#383C2211yescharacteristic, complemented
155C11×#382C2211yescharacteristic, complemented
156C11×#382C2211yescharacteristic, complemented
157C11×#381C2211yescharacteristic
158C11×#381C2211yescharacteristic
159C11×#381C2211yescharacteristic
160C11×#381C2211yescharacteristic
161C11×#381C2211yescharacteristic
162C11×#381C2211yescharacteristic
163C11×#381C2211yescharacteristic, complemented
164C11×#380C2211yescharacteristic
165C11×#380C2211yescharacteristic
166C11×#380C2211yescharacteristic
167C11×#380C2211yescharacteristic
168C11×#380C2211yescharacteristic
169C11×#380C2211yescharacteristic
170C11×#380C2211yescharacteristic, complemented
171C11×#379C2211yescharacteristic
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
182C4×C11×C22⋊C4C2211yescharacteristic
183C2×C11×#95C2211yescharacteristic
184C2×C11×#95C2211yescharacteristic
185C2×C11×#95C2211yescharacteristic
186C2×C11×#95C2211yescharacteristic
187C25×C11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11—24no—
193C23×C4×C11—42no—
194C23×C4×C11—42no—
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C23×C4×C11C2311yescharacteristic
204C23×C4×C11C2311yescharacteristic
205C23×C4×C11C2311yescharacteristic
206C23×C4×C11C2311yescharacteristic
207C23×C4×C11C2311yescharacteristic
208C23×C4×C11C2311yescharacteristic
209C23×C4×C11C2311yescharacteristic
210C11×#126—42no—
211C11×#125—42no—
212C11×#123—24no—
213C11×#123—42no—
214C11×C22⋊Q8—24no—
215C11×C22⋊Q8—42no—
216C11×#120—24no—
217C4×D4×C11—24no—
218C4×D4×C11—42no—
219C4×D4×C11—42no—
220C2×C11×C4⋊C4—24no—
221C2×C11×C4⋊C4—42no—
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×C22⋊C4—24no—
255C2×C11×C22⋊C4—24no—
256C2×C11×C22⋊C4—24no—
257C2×C11×C22⋊C4—42no—
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×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×C11×C22⋊C4C2311yescharacteristic
283C2×C11×C22⋊C4C2311yescharacteristic
284C2×C11×C22⋊C4C2311yescharacteristic
285C2×C11×C22⋊C4C2311yescharacteristic
286C2×C11×C22⋊C4C2311yescharacteristic
287C2×C11×C22⋊C4C2311yescharacteristic
288C2×C11×C22⋊C4C2311yescharacteristic
289C2×C11×C22⋊C4C2311yescharacteristic
290C2×C11×C22⋊C4C2311yescharacteristic
291C2×C11×C22⋊C4C2311yescharacteristic
292C2×C11×C22⋊C4C2311yescharacteristic
293C2×C11×C22⋊C4C2311yescharacteristic
294C2×C42×C11—42no—
295C2×C42×C11—42no—
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
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
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11×#95C2311yescharacteristic
363#34999C1111yesmaximal, characteristic, direct product factor, Sylow
364C24×C11—22no—
365C24×C11—22no—
366C24×C11—22no—
367C24×C11—22no—
368C24×C11—41no—
369C24×C11—41no—
370C24×C11#4114yes—
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C24×C11C2411yescharacteristic
375C2×Q8×C11—22no—
376C2×Q8×C11—41no—
377C2×Q8×C11—41no—
378C2×D4×C11—22no—
379C2×D4×C11—22no—
380C2×D4×C11—22no—
381C2×D4×C11—22no—
382C2×D4×C11—22no—
383C2×D4×C11—22no—
384C2×D4×C11—22no—
385C2×D4×C11—41no—
386C2×D4×C11—41no—
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—22no—
394C22×C4×C11—22no—
395C22×C4×C11—22no—
396C22×C4×C11—22no—
397C22×C4×C11—22no—
398C22×C4×C11—22no—
399C22×C4×C11—22no—
400C22×C4×C11—22no—
401C22×C4×C11—22no—
402C22×C4×C11—22no—
403C22×C4×C11—22no—
404C22×C4×C11—22no—
405C22×C4×C11—22no—
406C22×C4×C11—22no—
407C22×C4×C11—22no—
408C22×C4×C11—22no—
409C22×C4×C11—22no—
410C22×C4×C11—22no—
411C22×C4×C11—22no—
412C22×C4×C11—41no—
413C22×C4×C11—41no—
414C22×C4×C11—41no—
415C22×C4×C11—41no—
416C22×C4×C11—41no—
417C22×C4×C11—41no—
418C22×C4×C11—41no—
419C22×C4×C11—41no—
420C22×C4×C11—41no—
421C22×C4×C11—41no—
422C22×C4×C11—41no—
423C22×C4×C11—41no—
424C22×C4×C11—41no—
425C22×C4×C11—41no—
426C22×C4×C11—41no—
427C22×C4×C11—41no—
428C22×C4×C11—41no—
429C22×C4×C11—41no—
430C22×C4×C11—41no—
431C22×C4×C11—416no—
432C22×C4×C11#4114yes—
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
447C22×C4×C11C2411yescharacteristic
448C22×C4×C11C2411yescharacteristic
449C22×C4×C11C2411yescharacteristic
450C22×C4×C11C2411yescharacteristic
451C22×C4×C11C2411yescharacteristic
452C22×C4×C11C2411yescharacteristic
453C22×C4×C11C2411yescharacteristic
454C22×C4×C11C2411yescharacteristic
455C22×C4×C11C2411yescharacteristic
456C22×C4×C11C2411yescharacteristic
457C22×C4×C11C2411yescharacteristic
458C22×C4×C11C2411yescharacteristic
459C22×C4×C11C2411yescharacteristic
460C11×C4⋊C4—22no—
461C11×C4⋊C4—22no—
462C11×C4⋊C4—22no—
463C11×C4⋊C4—22no—
464C11×C4⋊C4—22no—
465C11×C4⋊C4—22no—
466C11×C4⋊C4—22no—
467C11×C4⋊C4—22no—
468C11×C4⋊C4—22no—
469C11×C4⋊C4—22no—
470C11×C4⋊C4—22no—
471C11×C4⋊C4—22no—
472C11×C4⋊C4—22no—
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⋊C4—41no—
480C11×C4⋊C4—41no—
481C11×C4⋊C4—41no—
482C11×C4⋊C4—41no—
483C11×C4⋊C4—41no—
484C11×C4⋊C4—41no—
485C11×C4⋊C4—41no—
486C11×C4⋊C4—41no—
487C11×C4⋊C4—41no—
488C11×C4⋊C4—41no—
489C11×C4⋊C4—41no—
490C11×C4⋊C4—41no—
491C11×C4⋊C4—41no—
492C11×C22⋊C4—22no—
493C11×C22⋊C4—22no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—22no—
499C11×C22⋊C4—22no—
500C11×C22⋊C4—22no—
501C11×C22⋊C4—22no—
502C11×C22⋊C4—22no—
503C11×C22⋊C4—22no—
504C11×C22⋊C4—22no—
505C11×C22⋊C4—22no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4—22no—
508C11×C22⋊C4—22no—
509C11×C22⋊C4—22no—
510C11×C22⋊C4—22no—
511C11×C22⋊C4—22no—
512C11×C22⋊C4—22no—
513C11×C22⋊C4—22no—
514C11×C22⋊C4—22no—
515C11×C22⋊C4—22no—
516C11×C22⋊C4—41no—
517C11×C22⋊C4—41no—
518C11×C22⋊C4—41no—
519C11×C22⋊C4—41no—
520C11×C22⋊C4—41no—
521C11×C22⋊C4—41no—
522C11×C22⋊C4—41no—
523C11×C22⋊C4—41no—
524C11×C22⋊C4—41no—
525C11×C22⋊C4—41no—
526C11×C22⋊C4—41no—
527C11×C22⋊C4#4114yes—
528C42×C11—22no—
529C42×C11—22no—
530C42×C11—22no—
531C42×C11—41no—
532C42×C11—41no—
533C42×C11—41no—
534C42×C11—41no—
535C42×C11—41no—
536C42×C11—41no—
537C42×C11—41no—
538C42×C11—41no—
539#2855C2×C1111yescharacteristic, complemented
540#2853C2×C1111yescharacteristic, complemented
541#2852C2×C1111yescharacteristic, complemented
542#2851C2×C1111yescharacteristic, complemented
543#2653C2×C1111yescharacteristic, complemented
544#2652C2×C1111yescharacteristic, complemented
545#2652C2×C1111yescharacteristic, complemented
546#2649C2×C1111yescharacteristic, complemented
547#2523C2×C1111yescharacteristic, complemented
548#2517C2×C1111yescharacteristic, complemented
549#2505C2×C1111yescharacteristic, complemented
550#2493C2×C1111yescharacteristic, complemented
551#2493C2×C1111yescharacteristic, complemented
552#2488C2×C1111yescharacteristic, complemented
553#2483C2×C1111yescharacteristic, complemented
554#2481C2×C1111yescharacteristic, complemented
555#2473C2×C1111yescharacteristic, complemented
556#2466C2×C1111yescharacteristic, complemented
557#2460C2×C1111yescharacteristic, complemented
558#2450C2×C1111yescharacteristic, complemented
559#2437C2×C1111yescharacteristic, complemented
560#2419C2×C1111yescharacteristic, complemented
561#2412C2×C1111yescharacteristic
562#2412C2×C1111yescharacteristic
563#2329C2×C1111yescharacteristic, complemented
564#2322C2×C1111yescharacteristic, complemented
565#2318C2×C1111yescharacteristic, complemented
566#2313C2×C1111yescharacteristic, complemented
567C4×#120C2×C1111yescharacteristic
568C2×#385C2×C1111yescharacteristic, complemented
569C2×C4×C22⋊C4C2×C1111yescharacteristic, complemented
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11—21no—
578C23×C11—28no—
579C23×C11—28no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11—21no—
588C23×C11—21no—
589C23×C11—21no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—44no—
594C23×C11—44no—
595C23×C11—44no—
596C23×C11—44no—
597C23×C11—44no—
598C23×C11C2×#4112yes—
599C23×C11C2×#4112yes—
600C23×C11C2×#4112yes—
601C23×C11C2×#4112yes—
602C23×C11C2×#4112yes—
603C23×C11H(5,𝔽2)12yes—
604C23×C112−1+412yes—
605C23×C11C2511yescharacteristic
606Q8×C11—82no—
607D4×C11—44no—
608D4×C11—44no—
609D4×C11—44no—
610C2×C4×C11—28no—
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—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—44no—
688C2×C4×C11—44no—
689C2×C4×C11—44no—
690C2×C4×C11—44no—
691C2×C4×C11—44no—
692C2×C4×C11—44no—
693C2×C4×C11—44no—
694C2×C4×C11—44no—
695C2×C4×C11—44no—
696C2×C4×C11—44no—
697C2×C4×C11—44no—
698C2×C4×C11—82no—
699C2×C4×C11—82no—
700C2×C4×C11—82no—
701C2×C4×C11C2×#4112yes—
702C2×C4×C11C2×#4112yes—
703C2×C4×C11C2×#4112yes—
704C2×C4×C11C2×#4112yes—
705C2×C4×C11H(5,𝔽2)12yes—
706C24×C4C22×C1111yescharacteristic
707C2×#126C22×C1111yescharacteristic, complemented
708C2×#125C22×C1111yescharacteristic, complemented
709C2×#123C22×C1111yescharacteristic
710C2×#123C22×C1111yescharacteristic
711C2×C22⋊Q8C22×C1111yescharacteristic
712C2×C22⋊Q8C22×C1111yescharacteristic
713C2×#120C22×C1111yescharacteristic
714C2×C4×D4C22×C1111yescharacteristic
715C2×C4×D4C22×C1111yescharacteristic
716C2×C4×D4C22×C1111yescharacteristic
717C22×C4⋊C4C22×C1111yescharacteristic
718C22×C4⋊C4C22×C1111yescharacteristic
719C22×C22⋊C4C22×C1111yescharacteristic
720C22×C22⋊C4C22×C1111yescharacteristic
721C22×C22⋊C4C22×C1111yescharacteristic
722C22×C22⋊C4C22×C1111yescharacteristic
723C22×C42C22×C1111yescharacteristic
724C22×C42C22×C1111yescharacteristic
725#401C22×C1111yescharacteristic, complemented
726#400C22×C1111yescharacteristic, complemented
727#400C22×C1111yescharacteristic, complemented
728#400C22×C1111yescharacteristic, complemented
729#400C22×C1111yescharacteristic, complemented
730#400C22×C1111yescharacteristic, complemented
731#400C22×C1111yescharacteristic, complemented
732#400C22×C1111yescharacteristic, complemented
733#400C22×C1111yescharacteristic, complemented
734#399C22×C1111yescharacteristic
735#398C22×C1111yescharacteristic, complemented
736#398C22×C1111yescharacteristic, complemented
737#398C22×C1111yescharacteristic, complemented
738#397C22×C1111yescharacteristic
739#397C22×C1111yescharacteristic
740#397C22×C1111yescharacteristic
741#397C22×C1111yescharacteristic
742#397C22×C1111yescharacteristic
743#397C22×C1111yescharacteristic
744#397C22×C1111yescharacteristic
745#397C22×C1111yescharacteristic
746#397C22×C1111yescharacteristic, complemented
747#397C22×C1111yescharacteristic, complemented
748#396C22×C1111yescharacteristic
749#396C22×C1111yescharacteristic
750#396C22×C1111yescharacteristic, complemented
751#394C22×C1111yescharacteristic
752#394C22×C1111yescharacteristic
753#394C22×C1111yescharacteristic
754#394C22×C1111yescharacteristic
755#393C22×C1111yescharacteristic
756#393C22×C1111yescharacteristic, complemented
757#391C22×C1111yescharacteristic, complemented
758#391C22×C1111yescharacteristic, complemented
759#391C22×C1111yescharacteristic, complemented
760#389C22×C1111yescharacteristic, complemented
761#389C22×C1111yescharacteristic, complemented
762#389C22×C1111yescharacteristic, complemented
763#389C22×C1111yescharacteristic, complemented
764#389C22×C1111yescharacteristic, complemented
765#388C22×C1111yescharacteristic, complemented
766#388C22×C1111yescharacteristic, complemented
767#388C22×C1111yescharacteristic, complemented
768#388C22×C1111yescharacteristic, complemented
769#388C22×C1111yescharacteristic, complemented
770#388C22×C1111yescharacteristic, complemented
771#388C22×C1111yescharacteristic, complemented
772#387C22×C1111yescharacteristic, complemented
773#387C22×C1111yescharacteristic, complemented
774#387C22×C1111yescharacteristic, complemented
775#387C22×C1111yescharacteristic, complemented
776#387C22×C1111yescharacteristic, complemented
777#387C22×C1111yescharacteristic, complemented
778#387C22×C1111yescharacteristic, complemented
779#387C22×C1111yescharacteristic, complemented
780#387C22×C1111yescharacteristic, complemented
781#387C22×C1111yescharacteristic, complemented
782#387C22×C1111yescharacteristic, complemented
783#387C22×C1111yescharacteristic, complemented
784#387C22×C1111yescharacteristic, complemented
785#387C22×C1111yescharacteristic, complemented
786#387C22×C1111yescharacteristic, complemented
787#387C22×C1111yescharacteristic, complemented
788#387C22×C1111yescharacteristic, complemented
789#387C22×C1111yescharacteristic, complemented
790#387C22×C1111yescharacteristic, complemented
791#387C22×C1111yescharacteristic, complemented
792#387C22×C1111yescharacteristic, complemented
793#387C22×C1111yescharacteristic, complemented
794#387C22×C1111yescharacteristic, complemented
795#386C22×C1111yescharacteristic
796#386C22×C1111yescharacteristic
797#386C22×C1111yescharacteristic
798#386C22×C1111yescharacteristic
799#386C22×C1111yescharacteristic
800#386C22×C1111yescharacteristic
801#386C22×C1111yescharacteristic
802#386C22×C1111yescharacteristic
803#386C22×C1111yescharacteristic
804#385C22×C1111yescharacteristic
805#385C22×C1111yescharacteristic
806#385C22×C1111yescharacteristic
807#385C22×C1111yescharacteristic
808#385C22×C1111yescharacteristic
809#385C22×C1111yescharacteristic
810#385C22×C1111yescharacteristic
811#385C22×C1111yescharacteristic
812#385C22×C1111yescharacteristic
813#385C22×C1111yescharacteristic
814#385C22×C1111yescharacteristic
815#385C22×C1111yescharacteristic
816#385C22×C1111yescharacteristic
817#385C22×C1111yescharacteristic
818#385C22×C1111yescharacteristic
819#385C22×C1111yescharacteristic
820#385C22×C1111yescharacteristic
821#385C22×C1111yescharacteristic
822#385C22×C1111yescharacteristic
823#385C22×C1111yescharacteristic
824#385C22×C1111yescharacteristic
825#385C22×C1111yescharacteristic, complemented
826#385C22×C1111yescharacteristic, complemented
827#383C22×C1111yescharacteristic, complemented
828#383C22×C1111yescharacteristic, complemented
829#382C22×C1111yescharacteristic, complemented
830#382C22×C1111yescharacteristic, complemented
831#381C22×C1111yescharacteristic
832#381C22×C1111yescharacteristic
833#381C22×C1111yescharacteristic
834#381C22×C1111yescharacteristic
835#381C22×C1111yescharacteristic
836#381C22×C1111yescharacteristic
837#381C22×C1111yescharacteristic, complemented
838#380C22×C1111yescharacteristic
839#380C22×C1111yescharacteristic
840#380C22×C1111yescharacteristic
841#380C22×C1111yescharacteristic
842#380C22×C1111yescharacteristic
843#380C22×C1111yescharacteristic
844#380C22×C1111yescharacteristic, complemented
845#379C22×C1111yescharacteristic
846C4×C22⋊C4C22×C1111yescharacteristic
847C4×C22⋊C4C22×C1111yescharacteristic
848C4×C22⋊C4C22×C1111yescharacteristic
849C4×C22⋊C4C22×C1111yescharacteristic
850C4×C22⋊C4C22×C1111yescharacteristic
851C4×C22⋊C4C22×C1111yescharacteristic
852C4×C22⋊C4C22×C1111yescharacteristic
853C4×C22⋊C4C22×C1111yescharacteristic
854C4×C22⋊C4C22×C1111yescharacteristic
855C4×C22⋊C4C22×C1111yescharacteristic
856C4×C22⋊C4C22×C1111yescharacteristic
857C2×#95C22×C1111yescharacteristic
858C2×#95C22×C1111yescharacteristic
859C2×#95C22×C1111yescharacteristic
860C2×#95C22×C1111yescharacteristic
861C22×C11—22no—
862C22×C11—22no—
863C22×C11—22no—
864C22×C11—22no—
865C22×C11—22no—
866C22×C11—22no—
867C22×C11—22no—
868C22×C11—22no—
869C22×C11—22no—
870C22×C11—22no—
871C22×C11—22no—
872C22×C11—22no—
873C22×C11—22no—
874C22×C11—22no—
875C22×C11—22no—
876C22×C11—416no—
877C22×C11—41no—
878C22×C11—41no—
879C22×C11—41no—
880C22×C11—41no—
881C22×C11—41no—
882C22×C11—41no—
883C22×C11—41no—
884C22×C11—41no—
885C22×C11—41no—
886C22×C11—41no—
887C22×C11—41no—
888C22×C11#52914yes—
889C22×C11#53914yes—
890C22×C11C22×#4111yescharacteristic
891C22×C11C22×#4111yescharacteristic
892C22×C11C22×#4111yescharacteristic
893C22×C11C2×H(5,𝔽2)11yescharacteristic
894C22×C11C2×H(5,𝔽2)11yescharacteristic
895C22×C11C2×2−1+411yescharacteristic
896C22×C11#58511yescharacteristic
897C4×C11—22no—
898C4×C11—22no—
899C4×C11—22no—
900C4×C11—22no—
901C4×C11—22no—
902C4×C11—41no—
903C4×C11—41no—
904C4×C11—41no—
905C4×C11—41no—
906C4×C11—41no—
907C4×C11—41no—
908C4×C11—41no—
909C4×C11—41no—
910C4×C11—41no—
911C4×C11—41no—
912C4×C11—41no—
913C4×C11—41no—
914C4×C11—41no—
915C4×C11—41no—
916C4×C11—41no—
917C4×C11—41no—
918C4×C11—41no—
919C4×C11—41no—
920C4×C11—41no—
921C4×C11—41no—
922C4×C11—41no—
923C4×C11—41no—
924C25C23×C1111yescharacteristic
925C22×Q8C23×C1111yescharacteristic
926C22×D4C23×C1111yescharacteristic
927C22×D4C23×C1111yescharacteristic
928C22×D4C23×C1111yescharacteristic
929C23×C4—24no—
930C23×C4—42no—
931C23×C4—42no—
932C23×C4C23×C1111yescharacteristic
933C23×C4C23×C1111yescharacteristic
934C23×C4C23×C1111yescharacteristic
935C23×C4C23×C1111yescharacteristic
936C23×C4C23×C1111yescharacteristic
937C23×C4C23×C1111yescharacteristic
938C23×C4C23×C1111yescharacteristic
939C23×C4C23×C1111yescharacteristic
940C23×C4C23×C1111yescharacteristic
941C23×C4C23×C1111yescharacteristic
942C23×C4C23×C1111yescharacteristic
943C23×C4C23×C1111yescharacteristic
944C23×C4C23×C1111yescharacteristic
945C23×C4C23×C1111yescharacteristic
946C23×C4C23×C1111yescharacteristic
947#126—42no—
948#125—42no—
949#123—24no—
950#123—42no—
951C22⋊Q8—24no—
952C22⋊Q8—42no—
953#120—24no—
954C4×D4—24no—
955C4×D4—42no—
956C4×D4—42no—
957C2×C4⋊C4—24no—
958C2×C4⋊C4—42no—
959C2×C4⋊C4C23×C1111yescharacteristic
960C2×C4⋊C4C23×C1111yescharacteristic
961C2×C4⋊C4C23×C1111yescharacteristic
962C2×C4⋊C4C23×C1111yescharacteristic
963C2×C4⋊C4C23×C1111yescharacteristic
964C2×C4⋊C4C23×C1111yescharacteristic
965C2×C4⋊C4C23×C1111yescharacteristic
966C2×C4⋊C4C23×C1111yescharacteristic
967C2×C4⋊C4C23×C1111yescharacteristic
968C2×C4⋊C4C23×C1111yescharacteristic
969C2×C4⋊C4C23×C1111yescharacteristic
970C2×C4⋊C4C23×C1111yescharacteristic
971C2×C4⋊C4C23×C1111yescharacteristic
972C2×C4⋊C4C23×C1111yescharacteristic
973C2×C4⋊C4C23×C1111yescharacteristic
974C2×C4⋊C4C23×C1111yescharacteristic
975C2×C4⋊C4C23×C1111yescharacteristic
976C2×C4⋊C4C23×C1111yescharacteristic
977C2×C4⋊C4C23×C1111yescharacteristic
978C2×C4⋊C4C23×C1111yescharacteristic
979C2×C4⋊C4C23×C1111yescharacteristic
980C2×C4⋊C4C23×C1111yescharacteristic
981C2×C4⋊C4C23×C1111yescharacteristic
982C2×C4⋊C4C23×C1111yescharacteristic
983C2×C4⋊C4C23×C1111yescharacteristic
984C2×C4⋊C4C23×C1111yescharacteristic
985C2×C4⋊C4C23×C1111yescharacteristic
986C2×C4⋊C4C23×C1111yescharacteristic
987C2×C4⋊C4C23×C1111yescharacteristic
988C2×C4⋊C4C23×C1111yescharacteristic
989C2×C4⋊C4C23×C1111yescharacteristic
990C2×C4⋊C4C23×C1111yescharacteristic
991C2×C22⋊C4—24no—
992C2×C22⋊C4—24no—
993C2×C22⋊C4—24no—
994C2×C22⋊C4—42no—
995C2×C22⋊C4C23×C1111yescharacteristic
996C2×C22⋊C4C23×C1111yescharacteristic
997C2×C22⋊C4C23×C1111yescharacteristic
998C2×C22⋊C4C23×C1111yescharacteristic
999C2×C22⋊C4C23×C1111yescharacteristic
1000C2×C22⋊C4C23×C1111yescharacteristic
1001C2×C22⋊C4C23×C1111yescharacteristic
1002C2×C22⋊C4C23×C1111yescharacteristic
1003C2×C22⋊C4C23×C1111yescharacteristic
1004C2×C22⋊C4C23×C1111yescharacteristic
1005C2×C22⋊C4C23×C1111yescharacteristic
1006C2×C22⋊C4C23×C1111yescharacteristic
1007C2×C22⋊C4C23×C1111yescharacteristic
1008C2×C22⋊C4C23×C1111yescharacteristic
1009C2×C22⋊C4C23×C1111yescharacteristic
1010C2×C22⋊C4C23×C1111yescharacteristic
1011C2×C22⋊C4C23×C1111yescharacteristic
1012C2×C22⋊C4C23×C1111yescharacteristic
1013C2×C22⋊C4C23×C1111yescharacteristic
1014C2×C22⋊C4C23×C1111yescharacteristic
1015C2×C22⋊C4C23×C1111yescharacteristic
1016C2×C22⋊C4C23×C1111yescharacteristic
1017C2×C22⋊C4C23×C1111yescharacteristic
1018C2×C22⋊C4C23×C1111yescharacteristic
1019C2×C22⋊C4C23×C1111yescharacteristic
1020C2×C22⋊C4C23×C1111yescharacteristic
1021C2×C22⋊C4C23×C1111yescharacteristic
1022C2×C22⋊C4C23×C1111yescharacteristic
1023C2×C22⋊C4C23×C1111yescharacteristic
1024C2×C22⋊C4C23×C1111yescharacteristic
1025C2×C22⋊C4C23×C1111yescharacteristic
1026C2×C22⋊C4C23×C1111yescharacteristic
1027C2×C22⋊C4C23×C1111yescharacteristic
1028C2×C22⋊C4C23×C1111yescharacteristic
1029C2×C22⋊C4C23×C1111yescharacteristic
1030C2×C22⋊C4C23×C1111yescharacteristic
1031C2×C42—42no—
1032C2×C42—42no—
1033C2×C42C23×C1111yescharacteristic
1034C2×C42C23×C1111yescharacteristic
1035C2×C42C23×C1111yescharacteristic
1036C2×C42C23×C1111yescharacteristic
1037C2×C42C23×C1111yescharacteristic
1038C2×C42C23×C1111yescharacteristic
1039C2×C42C23×C1111yescharacteristic
1040C2×C42C23×C1111yescharacteristic
1041C2×C42C23×C1111yescharacteristic
1042C2×C42C23×C1111yescharacteristic
1043C2×C42C23×C1111yescharacteristic
1044#95C23×C1111yescharacteristic
1045#95C23×C1111yescharacteristic
1046#95C23×C1111yescharacteristic
1047#95C23×C1111yescharacteristic
1048#95C23×C1111yescharacteristic
1049#95C23×C1111yescharacteristic
1050#95C23×C1111yescharacteristic
1051#95C23×C1111yescharacteristic
1052#95C23×C1111yescharacteristic
1053#95C23×C1111yescharacteristic
1054#95C23×C1111yescharacteristic
1055#95C23×C1111yescharacteristic
1056#95C23×C1111yescharacteristic
1057#95C23×C1111yescharacteristic
1058#95C23×C1111yescharacteristic
1059#95C23×C1111yescharacteristic
1060#95C23×C1111yescharacteristic
1061#95C23×C1111yescharacteristic
1062#95C23×C1111yescharacteristic
1063#95C23×C1111yescharacteristic
1064#95C23×C1111yescharacteristic
1065#95C23×C1111yescharacteristic
1066#95C23×C1111yescharacteristic
1067#95C23×C1111yescharacteristic
1068#95C23×C1111yescharacteristic
1069#95C23×C1111yescharacteristic
1070#95C23×C1111yescharacteristic
1071#95C23×C1111yescharacteristic
1072#95C23×C1111yescharacteristic
1073#95C23×C1111yescharacteristic
1074#95C23×C1111yescharacteristic
1075#95C23×C1111yescharacteristic
1076#95C23×C1111yescharacteristic
1077#95C23×C1111yescharacteristic
1078#95C23×C1111yescharacteristic
1079#95C23×C1111yescharacteristic
1080#95C23×C1111yescharacteristic
1081#95C23×C1111yescharacteristic
1082#95C23×C1111yescharacteristic
1083#95C23×C1111yescharacteristic
1084#95C23×C1111yescharacteristic
1085#95C23×C1111yescharacteristic
1086#95C23×C1111yescharacteristic
1087#95C23×C1111yescharacteristic
1088#95C23×C1111yescharacteristic
1089#95C23×C1111yescharacteristic
1090#95C23×C1111yescharacteristic
1091#95C23×C1111yescharacteristic
1092#95C23×C1111yescharacteristic
1093#95C23×C1111yescharacteristic
1094#95C23×C1111yescharacteristic
1095#95C23×C1111yescharacteristic
1096#95C23×C1111yescharacteristic
1097#95C23×C1111yescharacteristic
1098#95C23×C1111yescharacteristic
1099#95C23×C1111yescharacteristic
1100C2×C11—24no—
1101C2×C11—24no—
1102C2×C11—42no—
1103C2×C11—81no—
1104C2×C11C2×#52911yescharacteristic
1105C2×C11C2×#53911yescharacteristic
1106C2×C11#345911yescharacteristic
1107C2×C11#349011yescharacteristic
1108C2×C11#349511yescharacteristic
1109C2×C11#351311yescharacteristic
1110C2×C11#352011yescharacteristic
1111C24—22no—
1112C24—22no—
1113C24—22no—
1114C24—22no—
1115C24—41no—
1116C24—41no—
1117C24C11×#4114yes—
1118C24C24×C1111yescharacteristic
1119C24C24×C1111yescharacteristic
1120C24C24×C1111yescharacteristic
1121C24C24×C1111yescharacteristic
1122C2×Q8—22no—
1123C2×Q8—41no—
1124C2×Q8—41no—
1125C2×D4—22no—
1126C2×D4—22no—
1127C2×D4—22no—
1128C2×D4—22no—
1129C2×D4—22no—
1130C2×D4—22no—
1131C2×D4—22no—
1132C2×D4—41no—
1133C2×D4—41no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—416no—
1179C22×C4C11×#4114yes—
1180C22×C4C24×C1111yescharacteristic
1181C22×C4C24×C1111yescharacteristic
1182C22×C4C24×C1111yescharacteristic
1183C22×C4C24×C1111yescharacteristic
1184C22×C4C24×C1111yescharacteristic
1185C22×C4C24×C1111yescharacteristic
1186C22×C4C24×C1111yescharacteristic
1187C22×C4C24×C1111yescharacteristic
1188C22×C4C24×C1111yescharacteristic
1189C22×C4C24×C1111yescharacteristic
1190C22×C4C24×C1111yescharacteristic
1191C22×C4C24×C1111yescharacteristic
1192C22×C4C24×C1111yescharacteristic
1193C22×C4C24×C1111yescharacteristic
1194C22×C4C24×C1111yescharacteristic
1195C22×C4C24×C1111yescharacteristic
1196C22×C4C24×C1111yescharacteristic
1197C22×C4C24×C1111yescharacteristic
1198C22×C4C24×C1111yescharacteristic
1199C22×C4C24×C1111yescharacteristic
1200C22×C4C24×C1111yescharacteristic
1201C22×C4C24×C1111yescharacteristic
1202C22×C4C24×C1111yescharacteristic
1203C22×C4C24×C1111yescharacteristic
1204C22×C4C24×C1111yescharacteristic
1205C22×C4C24×C1111yescharacteristic
1206C22×C4C24×C1111yescharacteristic
1207C4⋊C4—22no—
1208C4⋊C4—22no—
1209C4⋊C4—22no—
1210C4⋊C4—22no—
1211C4⋊C4—22no—
1212C4⋊C4—22no—
1213C4⋊C4—22no—
1214C4⋊C4—22no—
1215C4⋊C4—22no—
1216C4⋊C4—22no—
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—41no—
1221C4⋊C4—41no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—22no—
1244C22⋊C4—22no—
1245C22⋊C4—22no—
1246C22⋊C4—22no—
1247C22⋊C4—22no—
1248C22⋊C4—22no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4C11×#4114yes—
1275C42—22no—
1276C42—22no—
1277C42—22no—
1278C42—41no—
1279C42—41no—
1280C42—41no—
1281C42—41no—
1282C42—41no—
1283C42—41no—
1284C42—41no—
1285C42—41no—
1286C11#3499911yescharacteristic, direct product factor, Sylow
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—28no—
1296C23—28no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—44no—
1311C23—44no—
1312C23—44no—
1313C23—44no—
1314C23—44no—
1315C23C2×C11×#4112yes—
1316C23C2×C11×#4112yes—
1317C23C2×C11×#4112yes—
1318C23C2×C11×#4112yes—
1319C23C2×C11×#4112yes—
1320C23C11×H(5,𝔽2)12yes—
1321C23C11×2−1+412yes—
1322C23C25×C1111yescharacteristic
1323Q8—82no—
1324D4—44no—
1325D4—44no—
1326D4—44no—
1327C2×C4—28no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—44no—
1405C2×C4—44no—
1406C2×C4—44no—
1407C2×C4—44no—
1408C2×C4—44no—
1409C2×C4—44no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—44no—
1413C2×C4—44no—
1414C2×C4—44no—
1415C2×C4—82no—
1416C2×C4—82no—
1417C2×C4—82no—
1418C2×C4C2×C11×#4112yes—
1419C2×C4C2×C11×#4112yes—
1420C2×C4C2×C11×#4112yes—
1421C2×C4C2×C11×#4112yes—
1422C2×C4C11×H(5,𝔽2)12yes—
1423C22—22no—
1424C22—22no—
1425C22—22no—
1426C22—22no—
1427C22—22no—
1428C22—22no—
1429C22—22no—
1430C22—22no—
1431C22—22no—
1432C22—22no—
1433C22—22no—
1434C22—22no—
1435C22—22no—
1436C22—22no—
1437C22—22no—
1438C22—416no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22C11×#52914yes—
1451C22C11×#53914yes—
1452C22C22×C11×#4111yescharacteristic
1453C22C22×C11×#4111yescharacteristic
1454C22C22×C11×#4111yescharacteristic
1455C22C2×C11×H(5,𝔽2)11yescharacteristic
1456C22C2×C11×H(5,𝔽2)11yescharacteristic
1457C22C2×C11×2−1+411yescharacteristic
1458C22C11×#58511yescharacteristic
1459C4—22no—
1460C4—22no—
1461C4—22no—
1462C4—22no—
1463C4—22no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C2—24no—
1487C2—24no—
1488C2—42no—
1489C2—81no—
1490C2C2×C11×#52911yescharacteristic
1491C2C2×C11×#53911yescharacteristic
1492C2C11×#345911yescharacteristic
1493C2C11×#349011yescharacteristic
1494C2C11×#349511yescharacteristic
1495C2C11×#351311yescharacteristic
1496C2C11×#352011yescharacteristic
subgroupG/H
center, socleC23×C11C25
commutator, Frattini, cosocleC23C25×C11
prime radicalC2×C11×#120C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#2855C2semidirect
2. C11×#2853C2semidirect
3. C11×#2852C2semidirect
4. C11×#2851C2semidirect
5. C11×#2653C2semidirect
6. C11×#2652C2semidirect
7. C11×#2652C2semidirect
8. C11×#2649C2semidirect
9. C11×#2523C2semidirect
10. C11×#2517C2semidirect
11. C11×#2505C2semidirect
12. C11×#2493C2semidirect
13. C11×#2493C2semidirect
14. C11×#2488C2semidirect
15. C11×#2483C2semidirect
16. C11×#2481C2semidirect
17. C11×#2473C2semidirect
18. C11×#2466C2semidirect
19. C11×#2460C2semidirect
20. C11×#2450C2semidirect
21. C11×#2437C2semidirect
22. C11×#2419C2semidirect
25. C11×#2329C2semidirect
26. C11×#2322C2semidirect
27. C11×#2318C2semidirect
28. C11×#2313C2semidirect
30. C2×C11×#385C2semidirect
31. C2×C4×C11×C22⋊C4C2semidirect
33. C2×C11×#126C22semidirect
34. C2×C11×#125C22semidirect
51. C11×#401C22semidirect
52. C11×#400C22semidirect
53. C11×#400C22semidirect
54. C11×#400C22semidirect
55. C11×#400C22semidirect
56. C11×#400C22semidirect
57. C11×#400C22semidirect
58. C11×#400C22semidirect
59. C11×#400C22semidirect
61. C11×#398C22semidirect
62. C11×#398C22semidirect
63. C11×#398C22semidirect
72. C11×#397C22semidirect
73. C11×#397C22semidirect
76. C11×#396C22semidirect
82. C11×#393C22semidirect
83. C11×#391C22semidirect
84. C11×#391C22semidirect
85. C11×#391C22semidirect
86. C11×#389C22semidirect
87. C11×#389C22semidirect
88. C11×#389C22semidirect
89. C11×#389C22semidirect
90. C11×#389C22semidirect
91. C11×#388C22semidirect
92. C11×#388C22semidirect
93. C11×#388C22semidirect
94. C11×#388C22semidirect
95. C11×#388C22semidirect
96. C11×#388C22semidirect
97. C11×#388C22semidirect
98. C11×#387C22semidirect
99. C11×#387C22semidirect
100. C11×#387C22semidirect
101. C11×#387C22semidirect
102. C11×#387C22semidirect
103. C11×#387C22semidirect
104. C11×#387C22semidirect
105. C11×#387C22semidirect
106. C11×#387C22semidirect
107. C11×#387C22semidirect
108. C11×#387C22semidirect
109. C11×#387C22semidirect
110. C11×#387C22semidirect
111. C11×#387C22semidirect
112. C11×#387C22semidirect
113. C11×#387C22semidirect
114. C11×#387C22semidirect
115. C11×#387C22semidirect
116. C11×#387C22semidirect
117. C11×#387C22semidirect
118. C11×#387C22semidirect
119. C11×#387C22semidirect
120. C11×#387C22semidirect
151. C11×#385C22semidirect
152. C11×#385C22semidirect
153. C11×#383C22semidirect
154. C11×#383C22semidirect
155. C11×#382C22semidirect
156. C11×#382C22semidirect
163. C11×#381C22semidirect
170. C11×#380C22semidirect
363. #34999C11direct (N × H)
539. #2855C2×C11semidirect
540. #2853C2×C11semidirect
541. #2852C2×C11semidirect
542. #2851C2×C11semidirect
543. #2653C2×C11semidirect
544. #2652C2×C11semidirect
545. #2652C2×C11semidirect
546. #2649C2×C11semidirect
547. #2523C2×C11semidirect
548. #2517C2×C11semidirect
549. #2505C2×C11semidirect
550. #2493C2×C11semidirect
551. #2493C2×C11semidirect
552. #2488C2×C11semidirect
553. #2483C2×C11semidirect
554. #2481C2×C11semidirect
555. #2473C2×C11semidirect
556. #2466C2×C11semidirect
557. #2460C2×C11semidirect
558. #2450C2×C11semidirect
559. #2437C2×C11semidirect
560. #2419C2×C11semidirect
563. #2329C2×C11semidirect
564. #2322C2×C11semidirect
565. #2318C2×C11semidirect
566. #2313C2×C11semidirect
568. C2×#385C2×C11semidirect
569. C2×C4×C22⋊C4C2×C11semidirect
707. C2×#126C22×C11semidirect
708. C2×#125C22×C11semidirect
725. #401C22×C11semidirect
726. #400C22×C11semidirect
727. #400C22×C11semidirect
728. #400C22×C11semidirect
729. #400C22×C11semidirect
730. #400C22×C11semidirect
731. #400C22×C11semidirect
732. #400C22×C11semidirect
733. #400C22×C11semidirect
735. #398C22×C11semidirect
736. #398C22×C11semidirect
737. #398C22×C11semidirect
746. #397C22×C11semidirect
747. #397C22×C11semidirect
750. #396C22×C11semidirect
756. #393C22×C11semidirect
757. #391C22×C11semidirect
758. #391C22×C11semidirect
759. #391C22×C11semidirect
760. #389C22×C11semidirect
761. #389C22×C11semidirect
762. #389C22×C11semidirect
763. #389C22×C11semidirect
764. #389C22×C11semidirect
765. #388C22×C11semidirect
766. #388C22×C11semidirect
767. #388C22×C11semidirect
768. #388C22×C11semidirect
769. #388C22×C11semidirect
770. #388C22×C11semidirect
771. #388C22×C11semidirect
772. #387C22×C11semidirect
773. #387C22×C11semidirect
774. #387C22×C11semidirect
775. #387C22×C11semidirect
776. #387C22×C11semidirect
777. #387C22×C11semidirect
778. #387C22×C11semidirect
779. #387C22×C11semidirect
780. #387C22×C11semidirect
781. #387C22×C11semidirect
782. #387C22×C11semidirect
783. #387C22×C11semidirect
784. #387C22×C11semidirect
785. #387C22×C11semidirect
786. #387C22×C11semidirect
787. #387C22×C11semidirect
788. #387C22×C11semidirect
789. #387C22×C11semidirect
790. #387C22×C11semidirect
791. #387C22×C11semidirect
792. #387C22×C11semidirect
793. #387C22×C11semidirect
794. #387C22×C11semidirect
825. #385C22×C11semidirect
826. #385C22×C11semidirect
827. #383C22×C11semidirect
828. #383C22×C11semidirect
829. #382C22×C11semidirect
830. #382C22×C11semidirect
837. #381C22×C11semidirect
844. #380C22×C11semidirect
1286. C11#34999direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#28552
C11×#28532
C11×#28522
C11×#28512
C11×#26532
C11×#26522
C11×#26492
C11×#25232
C11×#25172
C11×#25052
C11×#24932
C11×#24882
C11×#24832
C11×#24812
C11×#24732
C11×#24662
C11×#24602
C11×#24502
C11×#24372
C11×#24192
C11×#24122
C11×#23292
C11×#23222
C11×#23182
C11×#23132
C4×C11×#1202
C2×C11×#3852
C2×C4×C11×C22⋊C42
#3499911