Finite Group Databasebeta

← C11×#36817 #14614010

Subgroups — C11×#36817 #14614010

Order 2816.

1852 conjugacy classes of subgroups.

The subgroup lattice has 1530 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2851C211yesmaximal, characteristic, complemented
2C11×#2850C211yesmaximal, characteristic, complemented
3C11×#2778C211yesmaximal, characteristic, complemented
4C11×#2763C211yesmaximal, characteristic, complemented
5C11×#2762C211yesmaximal, characteristic, complemented
6C11×#2756C211yesmaximal, characteristic, complemented
7C11×#2753C211yesmaximal, characteristic, complemented
8C11×#2728C211yesmaximal, characteristic, complemented
9C11×#2723C211yesmaximal, characteristic, complemented
10C11×#2723C211yesmaximal, characteristic, complemented
11C11×#2711C211yesmaximal, characteristic, complemented
12C11×#2708C211yesmaximal, characteristic, complemented
13C11×#2704C211yesmaximal, characteristic, complemented
14C11×#2700C211yesmaximal, characteristic, complemented
15C11×#2686C211yesmaximal, characteristic, complemented
16C11×#2676C211yesmaximal, characteristic, complemented
17C11×#2676C211yesmaximal, characteristic, complemented
18C11×#2671C211yesmaximal, characteristic, complemented
19C11×#2653C211yesmaximal, characteristic, complemented
20C11×#2649C211yesmaximal, characteristic, complemented
21C11×#2602C211yesmaximal, characteristic, complemented
22C11×#2589C211yesmaximal, characteristic, complemented
23C11×#2559C211yesmaximal, characteristic, complemented
24C11×#2549C211yesmaximal, characteristic, complemented
25C11×#2474C211yesmaximal, characteristic, complemented
26C11×#2470C211yesmaximal, characteristic, complemented
27C11×#2430C211yesmaximal, characteristic, complemented
28C11×#2407C211yesmaximal, characteristic, complemented
29C11×#2335C211yesmaximal, characteristic, complemented
30C11×#2318C211yesmaximal, characteristic, complemented
31C11×#2297C211yesmaximal, characteristic, complemented
32C22×C11×#41C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic
34C2×C11×#125C2211yescharacteristic
35C2×C11×#124C2211yescharacteristic
36C2×C11×#124C2211yescharacteristic
37C2×C11×#123C2211yescharacteristic
38C2×C11×#123C2211yescharacteristic
39C2×C11×C22⋊Q8C2211yescharacteristic
40C2×C11×C22⋊Q8C2211yescharacteristic
41C2×C11×C22⋊Q8C2211yescharacteristic
42C2×C11×C22⋊Q8C2211yescharacteristic
43C2×C11×#121C2211yescharacteristic
44C2×C11×#121C2211yescharacteristic
45C2×C11×#121C2211yescharacteristic
46C2×C11×#121C2211yescharacteristic
47C2×C11×#121C2211yescharacteristic
48C2×C4×D4×C11C2211yescharacteristic
49C2×C11×#117C2211yescharacteristic
50C22×C42×C11C2211yescharacteristic
51C11×#401C2211yescharacteristic
52C11×#400C2211yescharacteristic
53C11×#400C2211yescharacteristic
54C11×#400C2211yescharacteristic
55C11×#400C2211yescharacteristic
56C11×#400C2211yescharacteristic
57C11×#399C2211yescharacteristic
58C11×#399C2211yescharacteristic
59C11×#398C2211yescharacteristic
60C11×#398C2211yescharacteristic
61C11×#398C2211yescharacteristic
62C11×#398C2211yescharacteristic
63C11×#397C2211yescharacteristic
64C11×#397C2211yescharacteristic
65C11×#397C2211yescharacteristic
66C11×#397C2211yescharacteristic
67C11×#397C2211yescharacteristic
68C11×#397C2211yescharacteristic
69C11×#397C2211yescharacteristic
70C11×#396C2211yescharacteristic
71C11×#396C2211yescharacteristic
72C11×#396C2211yescharacteristic
73C11×#395C2211yescharacteristic
74C11×#395C2211yescharacteristic
75C11×#395C2211yescharacteristic
76C11×#395C2211yescharacteristic
77C11×#394C2211yescharacteristic
78C11×#394C2211yescharacteristic
79C11×#394C2211yescharacteristic
80C11×#394C2211yescharacteristic
81C11×#394C2211yescharacteristic
82C11×#394C2211yescharacteristic
83C11×#394C2211yescharacteristic
84C11×#394C2211yescharacteristic
85C11×#394C2211yescharacteristic
86C11×#394C2211yescharacteristic
87C11×#394C2211yescharacteristic
88C11×#394C2211yescharacteristic
89C11×#394C2211yescharacteristic
90C11×#394C2211yescharacteristic
91C11×#393C2211yescharacteristic
92C11×#393C2211yescharacteristic
93C11×#393C2211yescharacteristic
94C11×#393C2211yescharacteristic
95C11×#392C2211yescharacteristic
96C11×#392C2211yescharacteristic
97C11×#392C2211yescharacteristic
98C11×#392C2211yescharacteristic
99C11×#391C2211yescharacteristic
100C11×#391C2211yescharacteristic
101C11×#391C2211yescharacteristic
102C11×#391C2211yescharacteristic
103C11×#391C2211yescharacteristic
104C11×#391C2211yescharacteristic
105C11×#390C2211yescharacteristic
106C11×#390C2211yescharacteristic
107C11×#390C2211yescharacteristic
108C11×#390C2211yescharacteristic
109C11×#390C2211yescharacteristic
110C11×#389C2211yescharacteristic
111C11×#389C2211yescharacteristic
112C11×#389C2211yescharacteristic
113C11×#389C2211yescharacteristic
114C11×#389C2211yescharacteristic
115C11×#388C2211yescharacteristic
116C11×#388C2211yescharacteristic
117C11×#388C2211yescharacteristic
118C11×#388C2211yescharacteristic
119C11×#388C2211yescharacteristic
120C11×#388C2211yescharacteristic
121C11×#388C2211yescharacteristic
122C11×#388C2211yescharacteristic
123C11×#388C2211yescharacteristic
124C11×#388C2211yescharacteristic
125C11×#388C2211yescharacteristic
126C11×#388C2211yescharacteristic
127C11×#388C2211yescharacteristic
128C11×#388C2211yescharacteristic
129C11×#388C2211yescharacteristic
130C11×#388C2211yescharacteristic
131C11×#388C2211yescharacteristic
132C11×#387C2211yescharacteristic
133C11×#387C2211yescharacteristic
134C11×#387C2211yescharacteristic
135C11×#387C2211yescharacteristic
136C11×#387C2211yescharacteristic
137C11×#387C2211yescharacteristic
138C11×#387C2211yescharacteristic
139C11×#387C2211yescharacteristic
140C11×#387C2211yescharacteristic
141C11×#386C2211yescharacteristic
142C11×#386C2211yescharacteristic
143C11×#386C2211yescharacteristic
144C11×#386C2211yescharacteristic
145C11×#386C2211yescharacteristic
146C11×#386C2211yescharacteristic
147C11×#386C2211yescharacteristic
148C11×#386C2211yescharacteristic
149C11×#386C2211yescharacteristic
150C11×#386C2211yescharacteristic
151C11×#386C2211yescharacteristic
152C11×#386C2211yescharacteristic
153C11×#386C2211yescharacteristic
154C11×#386C2211yescharacteristic
155C11×#386C2211yescharacteristic
156C11×#386C2211yescharacteristic
157C11×#385C2211yescharacteristic
158C11×#385C2211yescharacteristic
159C11×#385C2211yescharacteristic
160C11×#385C2211yescharacteristic
161C11×#385C2211yescharacteristic
162C11×#385C2211yescharacteristic
163C11×#385C2211yescharacteristic
164C11×#385C2211yescharacteristic
165C11×#385C2211yescharacteristic
166C11×#385C2211yescharacteristic
167C11×#385C2211yescharacteristic
168C11×#385C2211yescharacteristic
169C11×#385C2211yescharacteristic
170C11×#385C2211yescharacteristic
171C11×#383C2211yescharacteristic
172C11×#382C2211yescharacteristic
173C11×#382C2211yescharacteristic
174C11×#382C2211yescharacteristic
175C11×#381C2211yescharacteristic
176C11×#380C2211yescharacteristic
177C11×#380C2211yescharacteristic
178C11×#380C2211yescharacteristic
179C11×#380C2211yescharacteristic
180C4×C11×C4⋊C4C2211yescharacteristic
181C4×C11×C22⋊C4C2211yescharacteristic
182C4×C11×C22⋊C4C2211yescharacteristic
183C4×C11×C22⋊C4C2211yescharacteristic
184C4×C11×C22⋊C4C2211yescharacteristic
185C4×C11×C22⋊C4C2211yescharacteristic
186C2×C11×#95C2211yescharacteristic
187C2×C11×#41—24no—
188C2×C11×#41—42no—
189C2×C11×#41—42no—
190C22×Q8×C11C2311yescharacteristic
191C22×Q8×C11C2311yescharacteristic
192C22×Q8×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C22×D4×C11C2311yescharacteristic
200C22×D4×C11C2311yescharacteristic
201C22×D4×C11C2311yescharacteristic
202C22×D4×C11C2311yescharacteristic
203C23×C4×C11C2311yescharacteristic
204C23×C4×C11C2311yescharacteristic
205C23×C4×C11C2311yescharacteristic
206C23×C4×C11C2311yescharacteristic
207C23×C4×C11C2311yescharacteristic
208C23×C4×C11C2311yescharacteristic
209C23×C4×C11C2311yescharacteristic
210C23×C4×C11C2311yescharacteristic
211C23×C4×C11C2311yescharacteristic
212C11×#126—42no—
213C11×#125—42no—
214C11×#124—42no—
215C11×#124—42no—
216C11×#123—24no—
217C11×#123—42no—
218C11×C22⋊Q8—42no—
219C11×C22⋊Q8—42no—
220C11×C22⋊Q8—42no—
221C11×C22⋊Q8—42no—
222C11×#121—42no—
223C11×#121—42no—
224C11×#121—42no—
225C11×#121—42no—
226C11×#121—42no—
227C4×D4×C11—24no—
228C11×#117—42no—
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×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×C11×C22⋊C4C2311yescharacteristic
295C2×C11×C22⋊C4C2311yescharacteristic
296C2×C11×C22⋊C4C2311yescharacteristic
297C2×C11×C22⋊C4C2311yescharacteristic
298C2×C11×C22⋊C4C2311yescharacteristic
299C2×C11×C22⋊C4C2311yescharacteristic
300C2×C11×C22⋊C4C2311yescharacteristic
301C2×C11×C22⋊C4C2311yescharacteristic
302C2×C11×C22⋊C4C2311yescharacteristic
303C2×C11×C22⋊C4C2311yescharacteristic
304C2×C11×C22⋊C4C2311yescharacteristic
305C2×C11×C22⋊C4C2311yescharacteristic
306C2×C42×C11—42no—
307C2×C42×C11C2311yescharacteristic
308C2×C42×C11C2311yescharacteristic
309C2×C42×C11C2311yescharacteristic
310C2×C42×C11C2311yescharacteristic
311C2×C42×C11C2311yescharacteristic
312C2×C42×C11C2311yescharacteristic
313C2×C42×C11C2311yescharacteristic
314C2×C42×C11C2311yescharacteristic
315C2×C42×C11C2311yescharacteristic
316C2×C42×C11C2311yescharacteristic
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#36817C1111yesmaximal, characteristic, direct product factor, Sylow
364C24×C11C2411yescharacteristic
365C24×C11C2411yescharacteristic
366C24×C11C2411yescharacteristic
367C24×C11C2411yescharacteristic
368C24×C11C2411yescharacteristic
369C11×#41—416no—
370C2×Q8×C11—22no—
371C2×Q8×C11—22no—
372C2×Q8×C11—22no—
373C2×Q8×C11—41no—
374C2×Q8×C11—41no—
375C2×Q8×C11—41no—
376C2×Q8×C11—41no—
377C2×Q8×C11—41no—
378C2×Q8×C11—41no—
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—22no—
386C2×D4×C11—22no—
387C2×D4×C11—22no—
388C2×D4×C11—22no—
389C2×D4×C11—22no—
390C2×D4×C11—41no—
391C2×D4×C11—41no—
392C2×D4×C11—41no—
393C2×D4×C11—41no—
394C2×D4×C11—41no—
395C2×D4×C11—41no—
396C2×D4×C11—41no—
397C2×D4×C11—41no—
398C2×D4×C11—41no—
399C2×D4×C11—41no—
400C2×D4×C11—41no—
401C2×D4×C11—41no—
402C2×D4×C11—41no—
403C2×D4×C11—41no—
404C2×D4×C11—41no—
405C2×D4×C11—41no—
406C2×D4×C11—41no—
407C2×D4×C11—41no—
408C2×D4×C11—41no—
409C22×C4×C11—22no—
410C22×C4×C11—22no—
411C22×C4×C11—22no—
412C22×C4×C11—22no—
413C22×C4×C11—22no—
414C22×C4×C11—22no—
415C22×C4×C11—22no—
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—41no—
432C22×C4×C11—41no—
433C22×C4×C11—41no—
434C22×C4×C11—41no—
435C22×C4×C11#4114yes—
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
460C22×C4×C11C2411yescharacteristic
461C22×C4×C11C2411yescharacteristic
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—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⋊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×C4⋊C4—41no—
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—41no—
511C11×C22⋊C4—41no—
512C11×C22⋊C4—41no—
513C11×C22⋊C4—41no—
514C11×C22⋊C4—41no—
515C11×C22⋊C4—41no—
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—41no—
528C11×C22⋊C4—41no—
529C11×C22⋊C4—41no—
530C11×C22⋊C4—41no—
531C11×C22⋊C4—41no—
532C11×C22⋊C4—41no—
533C11×C22⋊C4—41no—
534C11×C22⋊C4—41no—
535C11×C22⋊C4—41no—
536C11×C22⋊C4—41no—
537C11×C22⋊C4—41no—
538C11×C22⋊C4—41no—
539C42×C11—22no—
540C42×C11—22no—
541C42×C11—22no—
542C42×C11—41no—
543C42×C11—41no—
544C42×C11—41no—
545C42×C11—41no—
546C42×C11—41no—
547C42×C11—41no—
548C42×C11—41no—
549#2851C2×C1111yescharacteristic, complemented
550#2850C2×C1111yescharacteristic, complemented
551#2778C2×C1111yescharacteristic, complemented
552#2763C2×C1111yescharacteristic, complemented
553#2762C2×C1111yescharacteristic, complemented
554#2756C2×C1111yescharacteristic, complemented
555#2753C2×C1111yescharacteristic, complemented
556#2728C2×C1111yescharacteristic, complemented
557#2723C2×C1111yescharacteristic, complemented
558#2723C2×C1111yescharacteristic, complemented
559#2711C2×C1111yescharacteristic, complemented
560#2708C2×C1111yescharacteristic, complemented
561#2704C2×C1111yescharacteristic, complemented
562#2700C2×C1111yescharacteristic, complemented
563#2686C2×C1111yescharacteristic, complemented
564#2676C2×C1111yescharacteristic, complemented
565#2676C2×C1111yescharacteristic, complemented
566#2671C2×C1111yescharacteristic, complemented
567#2653C2×C1111yescharacteristic, complemented
568#2649C2×C1111yescharacteristic, complemented
569#2602C2×C1111yescharacteristic, complemented
570#2589C2×C1111yescharacteristic, complemented
571#2559C2×C1111yescharacteristic, complemented
572#2549C2×C1111yescharacteristic, complemented
573#2474C2×C1111yescharacteristic, complemented
574#2470C2×C1111yescharacteristic, complemented
575#2430C2×C1111yescharacteristic, complemented
576#2407C2×C1111yescharacteristic, complemented
577#2335C2×C1111yescharacteristic, complemented
578#2318C2×C1111yescharacteristic, complemented
579#2297C2×C1111yescharacteristic, complemented
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—21no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11C2×#4112yes—
614C23×C11H(5,𝔽2)12yes—
615C23×C11C2511yescharacteristic
616Q8×C11—44no—
617Q8×C11—82no—
618Q8×C11—82no—
619D4×C11—44no—
620D4×C11—44no—
621D4×C11—44no—
622D4×C11—44no—
623D4×C11—82no—
624D4×C11—82no—
625D4×C11—82no—
626D4×C11—82no—
627D4×C11—82no—
628D4×C11—82no—
629C2×C4×C11—28no—
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—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—44no—
704C2×C4×C11—44no—
705C2×C4×C11—44no—
706C2×C4×C11—44no—
707C2×C4×C11—82no—
708C2×C4×C11—82no—
709C2×C4×C11—82no—
710C2×C4×C11—82no—
711C2×C4×C11C2×#4112yes—
712C2×C4×C11C2×#4112yes—
713C2×C4×C11H(5,𝔽2)12yes—
714C2×C4×C11H(5,𝔽2)12yes—
715C2×C4×C112−1+412yes—
716C22×#41C22×C1111yescharacteristic
717C2×#126C22×C1111yescharacteristic
718C2×#125C22×C1111yescharacteristic
719C2×#124C22×C1111yescharacteristic
720C2×#124C22×C1111yescharacteristic
721C2×#123C22×C1111yescharacteristic
722C2×#123C22×C1111yescharacteristic
723C2×C22⋊Q8C22×C1111yescharacteristic
724C2×C22⋊Q8C22×C1111yescharacteristic
725C2×C22⋊Q8C22×C1111yescharacteristic
726C2×C22⋊Q8C22×C1111yescharacteristic
727C2×#121C22×C1111yescharacteristic
728C2×#121C22×C1111yescharacteristic
729C2×#121C22×C1111yescharacteristic
730C2×#121C22×C1111yescharacteristic
731C2×#121C22×C1111yescharacteristic
732C2×C4×D4C22×C1111yescharacteristic
733C2×#117C22×C1111yescharacteristic
734C22×C42C22×C1111yescharacteristic
735#401C22×C1111yescharacteristic
736#400C22×C1111yescharacteristic
737#400C22×C1111yescharacteristic
738#400C22×C1111yescharacteristic
739#400C22×C1111yescharacteristic
740#400C22×C1111yescharacteristic
741#399C22×C1111yescharacteristic
742#399C22×C1111yescharacteristic
743#398C22×C1111yescharacteristic
744#398C22×C1111yescharacteristic
745#398C22×C1111yescharacteristic
746#398C22×C1111yescharacteristic
747#397C22×C1111yescharacteristic
748#397C22×C1111yescharacteristic
749#397C22×C1111yescharacteristic
750#397C22×C1111yescharacteristic
751#397C22×C1111yescharacteristic
752#397C22×C1111yescharacteristic
753#397C22×C1111yescharacteristic
754#396C22×C1111yescharacteristic
755#396C22×C1111yescharacteristic
756#396C22×C1111yescharacteristic
757#395C22×C1111yescharacteristic
758#395C22×C1111yescharacteristic
759#395C22×C1111yescharacteristic
760#395C22×C1111yescharacteristic
761#394C22×C1111yescharacteristic
762#394C22×C1111yescharacteristic
763#394C22×C1111yescharacteristic
764#394C22×C1111yescharacteristic
765#394C22×C1111yescharacteristic
766#394C22×C1111yescharacteristic
767#394C22×C1111yescharacteristic
768#394C22×C1111yescharacteristic
769#394C22×C1111yescharacteristic
770#394C22×C1111yescharacteristic
771#394C22×C1111yescharacteristic
772#394C22×C1111yescharacteristic
773#394C22×C1111yescharacteristic
774#394C22×C1111yescharacteristic
775#393C22×C1111yescharacteristic
776#393C22×C1111yescharacteristic
777#393C22×C1111yescharacteristic
778#393C22×C1111yescharacteristic
779#392C22×C1111yescharacteristic
780#392C22×C1111yescharacteristic
781#392C22×C1111yescharacteristic
782#392C22×C1111yescharacteristic
783#391C22×C1111yescharacteristic
784#391C22×C1111yescharacteristic
785#391C22×C1111yescharacteristic
786#391C22×C1111yescharacteristic
787#391C22×C1111yescharacteristic
788#391C22×C1111yescharacteristic
789#390C22×C1111yescharacteristic
790#390C22×C1111yescharacteristic
791#390C22×C1111yescharacteristic
792#390C22×C1111yescharacteristic
793#390C22×C1111yescharacteristic
794#389C22×C1111yescharacteristic
795#389C22×C1111yescharacteristic
796#389C22×C1111yescharacteristic
797#389C22×C1111yescharacteristic
798#389C22×C1111yescharacteristic
799#388C22×C1111yescharacteristic
800#388C22×C1111yescharacteristic
801#388C22×C1111yescharacteristic
802#388C22×C1111yescharacteristic
803#388C22×C1111yescharacteristic
804#388C22×C1111yescharacteristic
805#388C22×C1111yescharacteristic
806#388C22×C1111yescharacteristic
807#388C22×C1111yescharacteristic
808#388C22×C1111yescharacteristic
809#388C22×C1111yescharacteristic
810#388C22×C1111yescharacteristic
811#388C22×C1111yescharacteristic
812#388C22×C1111yescharacteristic
813#388C22×C1111yescharacteristic
814#388C22×C1111yescharacteristic
815#388C22×C1111yescharacteristic
816#387C22×C1111yescharacteristic
817#387C22×C1111yescharacteristic
818#387C22×C1111yescharacteristic
819#387C22×C1111yescharacteristic
820#387C22×C1111yescharacteristic
821#387C22×C1111yescharacteristic
822#387C22×C1111yescharacteristic
823#387C22×C1111yescharacteristic
824#387C22×C1111yescharacteristic
825#386C22×C1111yescharacteristic
826#386C22×C1111yescharacteristic
827#386C22×C1111yescharacteristic
828#386C22×C1111yescharacteristic
829#386C22×C1111yescharacteristic
830#386C22×C1111yescharacteristic
831#386C22×C1111yescharacteristic
832#386C22×C1111yescharacteristic
833#386C22×C1111yescharacteristic
834#386C22×C1111yescharacteristic
835#386C22×C1111yescharacteristic
836#386C22×C1111yescharacteristic
837#386C22×C1111yescharacteristic
838#386C22×C1111yescharacteristic
839#386C22×C1111yescharacteristic
840#386C22×C1111yescharacteristic
841#385C22×C1111yescharacteristic
842#385C22×C1111yescharacteristic
843#385C22×C1111yescharacteristic
844#385C22×C1111yescharacteristic
845#385C22×C1111yescharacteristic
846#385C22×C1111yescharacteristic
847#385C22×C1111yescharacteristic
848#385C22×C1111yescharacteristic
849#385C22×C1111yescharacteristic
850#385C22×C1111yescharacteristic
851#385C22×C1111yescharacteristic
852#385C22×C1111yescharacteristic
853#385C22×C1111yescharacteristic
854#385C22×C1111yescharacteristic
855#383C22×C1111yescharacteristic
856#382C22×C1111yescharacteristic
857#382C22×C1111yescharacteristic
858#382C22×C1111yescharacteristic
859#381C22×C1111yescharacteristic
860#380C22×C1111yescharacteristic
861#380C22×C1111yescharacteristic
862#380C22×C1111yescharacteristic
863#380C22×C1111yescharacteristic
864C4×C4⋊C4C22×C1111yescharacteristic
865C4×C22⋊C4C22×C1111yescharacteristic
866C4×C22⋊C4C22×C1111yescharacteristic
867C4×C22⋊C4C22×C1111yescharacteristic
868C4×C22⋊C4C22×C1111yescharacteristic
869C4×C22⋊C4C22×C1111yescharacteristic
870C2×#95C22×C1111yescharacteristic
871C22×C11—22no—
872C22×C11—22no—
873C22×C11—22no—
874C22×C11—22no—
875C22×C11—22no—
876C22×C11—22no—
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—41no—
889C22×C11—41no—
890C22×C11—41no—
891C22×C11—41no—
892C22×C11—41no—
893C22×C11—41no—
894C22×C11—41no—
895C22×C11—41no—
896C22×C11—41no—
897C22×C11—41no—
898C22×C11—41no—
899C22×C11—41no—
900C22×C11—41no—
901C22×C11—41no—
902C22×C11—41no—
903C22×C11—41no—
904C22×C11—41no—
905C22×C11—41no—
906C22×C11C22×#4111yescharacteristic
907C22×C11C2×H(5,𝔽2)11yescharacteristic
908C22×C11C2×H(5,𝔽2)11yescharacteristic
909C22×C11C2×H(5,𝔽2)11yescharacteristic
910C22×C11C2×2−1+411yescharacteristic
911C22×C11#58511yescharacteristic
912C22×C11#58511yescharacteristic
913C4×C11—22no—
914C4×C11—22no—
915C4×C11—22no—
916C4×C11—22no—
917C4×C11—22no—
918C4×C11—41no—
919C4×C11—41no—
920C4×C11—41no—
921C4×C11—41no—
922C4×C11—41no—
923C4×C11—41no—
924C4×C11—41no—
925C4×C11—41no—
926C4×C11—41no—
927C4×C11—41no—
928C4×C11—41no—
929C4×C11—41no—
930C4×C11—41no—
931C4×C11—41no—
932C4×C11—41no—
933C4×C11—41no—
934C4×C11—41no—
935C4×C11—41no—
936C4×C11—41no—
937C4×C11—41no—
938C4×C11—41no—
939C2×#41—24no—
940C2×#41—42no—
941C2×#41—42no—
942C22×Q8C23×C1111yescharacteristic
943C22×Q8C23×C1111yescharacteristic
944C22×Q8C23×C1111yescharacteristic
945C22×D4C23×C1111yescharacteristic
946C22×D4C23×C1111yescharacteristic
947C22×D4C23×C1111yescharacteristic
948C22×D4C23×C1111yescharacteristic
949C22×D4C23×C1111yescharacteristic
950C22×D4C23×C1111yescharacteristic
951C22×D4C23×C1111yescharacteristic
952C22×D4C23×C1111yescharacteristic
953C22×D4C23×C1111yescharacteristic
954C22×D4C23×C1111yescharacteristic
955C23×C4C23×C1111yescharacteristic
956C23×C4C23×C1111yescharacteristic
957C23×C4C23×C1111yescharacteristic
958C23×C4C23×C1111yescharacteristic
959C23×C4C23×C1111yescharacteristic
960C23×C4C23×C1111yescharacteristic
961C23×C4C23×C1111yescharacteristic
962C23×C4C23×C1111yescharacteristic
963C23×C4C23×C1111yescharacteristic
964#126—42no—
965#125—42no—
966#124—42no—
967#124—42no—
968#123—24no—
969#123—42no—
970C22⋊Q8—42no—
971C22⋊Q8—42no—
972C22⋊Q8—42no—
973C22⋊Q8—42no—
974#121—42no—
975#121—42no—
976#121—42no—
977#121—42no—
978#121—42no—
979C4×D4—24no—
980#117—42no—
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×C4⋊C4C23×C1111yescharacteristic
992C2×C4⋊C4C23×C1111yescharacteristic
993C2×C4⋊C4C23×C1111yescharacteristic
994C2×C4⋊C4C23×C1111yescharacteristic
995C2×C4⋊C4C23×C1111yescharacteristic
996C2×C4⋊C4C23×C1111yescharacteristic
997C2×C4⋊C4C23×C1111yescharacteristic
998C2×C4⋊C4C23×C1111yescharacteristic
999C2×C4⋊C4C23×C1111yescharacteristic
1000C2×C4⋊C4C23×C1111yescharacteristic
1001C2×C4⋊C4C23×C1111yescharacteristic
1002C2×C4⋊C4C23×C1111yescharacteristic
1003C2×C4⋊C4C23×C1111yescharacteristic
1004C2×C4⋊C4C23×C1111yescharacteristic
1005C2×C4⋊C4C23×C1111yescharacteristic
1006C2×C4⋊C4C23×C1111yescharacteristic
1007C2×C4⋊C4C23×C1111yescharacteristic
1008C2×C4⋊C4C23×C1111yescharacteristic
1009C2×C4⋊C4C23×C1111yescharacteristic
1010C2×C4⋊C4C23×C1111yescharacteristic
1011C2×C4⋊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×C22⋊C4C23×C1111yescharacteristic
1032C2×C22⋊C4C23×C1111yescharacteristic
1033C2×C22⋊C4C23×C1111yescharacteristic
1034C2×C22⋊C4C23×C1111yescharacteristic
1035C2×C22⋊C4C23×C1111yescharacteristic
1036C2×C22⋊C4C23×C1111yescharacteristic
1037C2×C22⋊C4C23×C1111yescharacteristic
1038C2×C22⋊C4C23×C1111yescharacteristic
1039C2×C22⋊C4C23×C1111yescharacteristic
1040C2×C22⋊C4C23×C1111yescharacteristic
1041C2×C22⋊C4C23×C1111yescharacteristic
1042C2×C22⋊C4C23×C1111yescharacteristic
1043C2×C22⋊C4C23×C1111yescharacteristic
1044C2×C22⋊C4C23×C1111yescharacteristic
1045C2×C22⋊C4C23×C1111yescharacteristic
1046C2×C22⋊C4C23×C1111yescharacteristic
1047C2×C22⋊C4C23×C1111yescharacteristic
1048C2×C22⋊C4C23×C1111yescharacteristic
1049C2×C22⋊C4C23×C1111yescharacteristic
1050C2×C22⋊C4C23×C1111yescharacteristic
1051C2×C22⋊C4C23×C1111yescharacteristic
1052C2×C22⋊C4C23×C1111yescharacteristic
1053C2×C22⋊C4C23×C1111yescharacteristic
1054C2×C22⋊C4C23×C1111yescharacteristic
1055C2×C22⋊C4C23×C1111yescharacteristic
1056C2×C22⋊C4C23×C1111yescharacteristic
1057C2×C22⋊C4C23×C1111yescharacteristic
1058C2×C42—42no—
1059C2×C42C23×C1111yescharacteristic
1060C2×C42C23×C1111yescharacteristic
1061C2×C42C23×C1111yescharacteristic
1062C2×C42C23×C1111yescharacteristic
1063C2×C42C23×C1111yescharacteristic
1064C2×C42C23×C1111yescharacteristic
1065C2×C42C23×C1111yescharacteristic
1066C2×C42C23×C1111yescharacteristic
1067C2×C42C23×C1111yescharacteristic
1068C2×C42C23×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
1100#95C23×C1111yescharacteristic
1101#95C23×C1111yescharacteristic
1102#95C23×C1111yescharacteristic
1103#95C23×C1111yescharacteristic
1104#95C23×C1111yescharacteristic
1105#95C23×C1111yescharacteristic
1106#95C23×C1111yescharacteristic
1107#95C23×C1111yescharacteristic
1108#95C23×C1111yescharacteristic
1109#95C23×C1111yescharacteristic
1110#95C23×C1111yescharacteristic
1111#95C23×C1111yescharacteristic
1112#95C23×C1111yescharacteristic
1113#95C23×C1111yescharacteristic
1114#95C23×C1111yescharacteristic
1115C2×C11—42no—
1116C2×C11—42no—
1117C2×C11—81no—
1118C2×C11—81no—
1119C2×C11—81no—
1120C2×C11#345511yescharacteristic
1121C2×C11#349011yescharacteristic
1122C2×C11#351111yescharacteristic
1123C2×C11#354111yescharacteristic
1124C2×C11#354211yescharacteristic
1125C2×C11#355811yescharacteristic
1126C2×C11#355911yescharacteristic
1127C24C24×C1111yescharacteristic
1128C24C24×C1111yescharacteristic
1129C24C24×C1111yescharacteristic
1130C24C24×C1111yescharacteristic
1131C24C24×C1111yescharacteristic
1132#41—416no—
1133C2×Q8—22no—
1134C2×Q8—22no—
1135C2×Q8—22no—
1136C2×Q8—41no—
1137C2×Q8—41no—
1138C2×Q8—41no—
1139C2×Q8—41no—
1140C2×Q8—41no—
1141C2×Q8—41no—
1142C2×D4—22no—
1143C2×D4—22no—
1144C2×D4—22no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4C11×#4114yes—
1199C22×C4C24×C1111yescharacteristic
1200C22×C4C24×C1111yescharacteristic
1201C22×C4C24×C1111yescharacteristic
1202C22×C4C24×C1111yescharacteristic
1203C22×C4C24×C1111yescharacteristic
1204C22×C4C24×C1111yescharacteristic
1205C22×C4C24×C1111yescharacteristic
1206C22×C4C24×C1111yescharacteristic
1207C22×C4C24×C1111yescharacteristic
1208C22×C4C24×C1111yescharacteristic
1209C22×C4C24×C1111yescharacteristic
1210C22×C4C24×C1111yescharacteristic
1211C22×C4C24×C1111yescharacteristic
1212C22×C4C24×C1111yescharacteristic
1213C22×C4C24×C1111yescharacteristic
1214C22×C4C24×C1111yescharacteristic
1215C22×C4C24×C1111yescharacteristic
1216C22×C4C24×C1111yescharacteristic
1217C22×C4C24×C1111yescharacteristic
1218C22×C4C24×C1111yescharacteristic
1219C22×C4C24×C1111yescharacteristic
1220C22×C4C24×C1111yescharacteristic
1221C22×C4C24×C1111yescharacteristic
1222C22×C4C24×C1111yescharacteristic
1223C22×C4C24×C1111yescharacteristic
1224C22×C4C24×C1111yescharacteristic
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C42—22no—
1303C42—22no—
1304C42—22no—
1305C42—41no—
1306C42—41no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42—41no—
1311C42—41no—
1312C11#3681711yescharacteristic, direct product factor, Sylow
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23C2×C11×#4112yes—
1347C23C11×H(5,𝔽2)12yes—
1348C23C25×C1111yescharacteristic
1349Q8—44no—
1350Q8—82no—
1351Q8—82no—
1352D4—44no—
1353D4—44no—
1354D4—44no—
1355D4—44no—
1356D4—82no—
1357D4—82no—
1358D4—82no—
1359D4—82no—
1360D4—82no—
1361D4—82no—
1362C2×C4—28no—
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—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—44no—
1437C2×C4—44no—
1438C2×C4—44no—
1439C2×C4—44no—
1440C2×C4—82no—
1441C2×C4—82no—
1442C2×C4—82no—
1443C2×C4—82no—
1444C2×C4C2×C11×#4112yes—
1445C2×C4C2×C11×#4112yes—
1446C2×C4C11×H(5,𝔽2)12yes—
1447C2×C4C11×H(5,𝔽2)12yes—
1448C2×C4C11×2−1+412yes—
1449C22—22no—
1450C22—22no—
1451C22—22no—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22C22×C11×#4111yescharacteristic
1485C22C2×C11×H(5,𝔽2)11yescharacteristic
1486C22C2×C11×H(5,𝔽2)11yescharacteristic
1487C22C2×C11×H(5,𝔽2)11yescharacteristic
1488C22C2×C11×2−1+411yescharacteristic
1489C22C11×#58511yescharacteristic
1490C22C11×#58511yescharacteristic
1491C4—22no—
1492C4—22no—
1493C4—22no—
1494C4—22no—
1495C4—22no—
1496C4—41no—
1497C4—41no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C2—42no—
1518C2—42no—
1519C2—81no—
1520C2—81no—
1521C2—81no—
1522C2C11×#345511yescharacteristic
1523C2C11×#349011yescharacteristic
1524C2C11×#351111yescharacteristic
1525C2C11×#354111yescharacteristic
1526C2C11×#354211yescharacteristic
1527C2C11×#355811yescharacteristic
1528C2C11×#355911yescharacteristic
subgroupG/H
center, socleC23×C11C25
commutator, Frattini, cosocleC23C25×C11
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#2851C2semidirect
2. C11×#2850C2semidirect
3. C11×#2778C2semidirect
4. C11×#2763C2semidirect
5. C11×#2762C2semidirect
6. C11×#2756C2semidirect
7. C11×#2753C2semidirect
8. C11×#2728C2semidirect
9. C11×#2723C2semidirect
10. C11×#2723C2semidirect
11. C11×#2711C2semidirect
12. C11×#2708C2semidirect
13. C11×#2704C2semidirect
14. C11×#2700C2semidirect
15. C11×#2686C2semidirect
16. C11×#2676C2semidirect
17. C11×#2676C2semidirect
18. C11×#2671C2semidirect
19. C11×#2653C2semidirect
20. C11×#2649C2semidirect
21. C11×#2602C2semidirect
22. C11×#2589C2semidirect
23. C11×#2559C2semidirect
24. C11×#2549C2semidirect
25. C11×#2474C2semidirect
26. C11×#2470C2semidirect
27. C11×#2430C2semidirect
28. C11×#2407C2semidirect
29. C11×#2335C2semidirect
30. C11×#2318C2semidirect
31. C11×#2297C2semidirect
363. #36817C11direct (N × H)
549. #2851C2×C11semidirect
550. #2850C2×C11semidirect
551. #2778C2×C11semidirect
552. #2763C2×C11semidirect
553. #2762C2×C11semidirect
554. #2756C2×C11semidirect
555. #2753C2×C11semidirect
556. #2728C2×C11semidirect
557. #2723C2×C11semidirect
558. #2723C2×C11semidirect
559. #2711C2×C11semidirect
560. #2708C2×C11semidirect
561. #2704C2×C11semidirect
562. #2700C2×C11semidirect
563. #2686C2×C11semidirect
564. #2676C2×C11semidirect
565. #2676C2×C11semidirect
566. #2671C2×C11semidirect
567. #2653C2×C11semidirect
568. #2649C2×C11semidirect
569. #2602C2×C11semidirect
570. #2589C2×C11semidirect
571. #2559C2×C11semidirect
572. #2549C2×C11semidirect
573. #2474C2×C11semidirect
574. #2470C2×C11semidirect
575. #2430C2×C11semidirect
576. #2407C2×C11semidirect
577. #2335C2×C11semidirect
578. #2318C2×C11semidirect
579. #2297C2×C11semidirect
1312. C11#36817direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#28512
C11×#28502
C11×#27782
C11×#27632
C11×#27622
C11×#27562
C11×#27532
C11×#27282
C11×#27232
C11×#27112
C11×#27082
C11×#27042
C11×#27002
C11×#26862
C11×#26762
C11×#26712
C11×#26532
C11×#26492
C11×#26022
C11×#25892
C11×#25592
C11×#25492
C11×#24742
C11×#24702
C11×#24302
C11×#24072
C11×#23352
C11×#23182
C11×#22972
#3681711