Finite Group Databasebeta

← C11×#36745 #14613938

Subgroups — C11×#36745 #14613938

Order 2816.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#542C211yesmaximal, characteristic, complemented
2C2×C11×#538C211yesmaximal, characteristic, complemented
3C11×#2854C211yesmaximal, characteristic, complemented
4C11×#2850C211yesmaximal, characteristic, complemented
5C11×#2723C211yesmaximal, characteristic, complemented
6C11×#2716C211yesmaximal, characteristic, complemented
7C11×#2715C211yesmaximal, characteristic, complemented
8C11×#2712C211yesmaximal, characteristic, complemented
9C11×#2700C211yesmaximal, characteristic, complemented
10C11×#2698C211yesmaximal, characteristic, complemented
11C11×#2696C211yesmaximal, characteristic, complemented
12C11×#2691C211yesmaximal, characteristic, complemented
13C11×#2688C211yesmaximal, characteristic, complemented
14C11×#2686C211yesmaximal, characteristic, complemented
15C11×#2685C211yesmaximal, characteristic, complemented
16C11×#2684C211yesmaximal, characteristic, complemented
17C11×#2676C211yesmaximal, characteristic, complemented
18C11×#2674C211yesmaximal, characteristic, complemented
19C11×#2670C211yesmaximal, characteristic, complemented
20C11×#2668C211yesmaximal, characteristic, complemented
21C11×#2663C211yesmaximal, characteristic, complemented
22C11×#2661C211yesmaximal, characteristic, complemented
23C11×#2610C211yesmaximal, characteristic, complemented
24C11×#2604C211yesmaximal, characteristic, complemented
25C11×#2602C211yesmaximal, characteristic, complemented
26C11×#2601C211yesmaximal, characteristic, complemented
27C11×#2592C211yesmaximal, characteristic, complemented
28C11×#2561C211yesmaximal, characteristic, complemented
29C11×#2415C211yesmaximal, characteristic, complemented
30C11×#2411C211yesmaximal, characteristic, complemented
31C11×#2290C211yesmaximal, characteristic, complemented
32C11×#542—28no—
33C11×#538—28no—
34C2×C11×C4⋊Q8C2211yescharacteristic, complemented
35C2×C11×#126C2211yescharacteristic
36C2×C11×#126C2211yescharacteristic
37C2×C11×#126C2211yescharacteristic
38C2×C11×#126C2211yescharacteristic, complemented
39C2×C11×#124C2211yescharacteristic
40C2×C11×#124C2211yescharacteristic
41C2×C11×#124C2211yescharacteristic
42C2×C11×#124C2211yescharacteristic
43C2×C11×#124C2211yescharacteristic
44C2×C11×#124C2211yescharacteristic, complemented
45C2×C11×#123C2211yescharacteristic
46C2×C11×#123C2211yescharacteristic
47C2×C11×#123C2211yescharacteristic
48C2×C11×#123C2211yescharacteristic, complemented
49C2×C11×C22⋊Q8C2211yescharacteristic
50C2×C11×C22⋊Q8C2211yescharacteristic
51C2×C11×C22⋊Q8C2211yescharacteristic, complemented
52C2×C11×C22⋊Q8C2211yescharacteristic, complemented
53C2×C11×C22⋊Q8C2211yescharacteristic, complemented
54C2×C11×#121C2211yescharacteristic
55C2×C11×#121C2211yescharacteristic
56C2×C11×#121C2211yescharacteristic
57C2×C11×#121C2211yescharacteristic
58C2×C11×#121C2211yescharacteristic
59C2×C11×#120C2211yescharacteristic
60C2×C11×#120C2211yescharacteristic
61C2×C11×#120C2211yescharacteristic
62C2×C4×Q8×C11C2211yescharacteristic, complemented
63C2×C4×D4×C11C2211yescharacteristic
64C2×C4×D4×C11C2211yescharacteristic
65C2×C11×#117C2211yescharacteristic
66C2×C11×#117C2211yescharacteristic, complemented
67C22×C11×C22⋊C4C2211yescharacteristic
68C22×C42×C11C2211yescharacteristic, complemented
69C11×#400C2211yescharacteristic, complemented
70C11×#400C2211yescharacteristic, complemented
71C11×#399C2211yescharacteristic
72C11×#399C2211yescharacteristic
73C11×#398C2211yescharacteristic, complemented
74C11×#398C2211yescharacteristic, complemented
75C11×#397C2211yescharacteristic
76C11×#397C2211yescharacteristic
77C11×#397C2211yescharacteristic
78C11×#397C2211yescharacteristic
79C11×#397C2211yescharacteristic
80C11×#397C2211yescharacteristic
81C11×#397C2211yescharacteristic, complemented
82C11×#397C2211yescharacteristic, complemented
83C11×#397C2211yescharacteristic, complemented
84C11×#397C2211yescharacteristic, complemented
85C11×#396C2211yescharacteristic
86C11×#396C2211yescharacteristic
87C11×#396C2211yescharacteristic
88C11×#396C2211yescharacteristic, complemented
89C11×#395C2211yescharacteristic, complemented
90C11×#395C2211yescharacteristic, complemented
91C11×#395C2211yescharacteristic, complemented
92C11×#394C2211yescharacteristic
93C11×#394C2211yescharacteristic
94C11×#394C2211yescharacteristic
95C11×#394C2211yescharacteristic
96C11×#394C2211yescharacteristic
97C11×#394C2211yescharacteristic
98C11×#394C2211yescharacteristic
99C11×#394C2211yescharacteristic
100C11×#394C2211yescharacteristic
101C11×#394C2211yescharacteristic
102C11×#394C2211yescharacteristic
103C11×#394C2211yescharacteristic
104C11×#394C2211yescharacteristic, complemented
105C11×#393C2211yescharacteristic
106C11×#393C2211yescharacteristic
107C11×#393C2211yescharacteristic
108C11×#393C2211yescharacteristic
109C11×#393C2211yescharacteristic
110C11×#393C2211yescharacteristic, complemented
111C11×#393C2211yescharacteristic, complemented
112C11×#392C2211yescharacteristic
113C11×#392C2211yescharacteristic
114C11×#392C2211yescharacteristic
115C11×#392C2211yescharacteristic
116C11×#392C2211yescharacteristic, complemented
117C11×#391C2211yescharacteristic, complemented
118C11×#391C2211yescharacteristic, complemented
119C11×#391C2211yescharacteristic, complemented
120C11×#391C2211yescharacteristic, complemented
121C11×#390C2211yescharacteristic
122C11×#390C2211yescharacteristic
123C11×#390C2211yescharacteristic
124C11×#390C2211yescharacteristic
125C11×#390C2211yescharacteristic
126C11×#390C2211yescharacteristic
127C11×#390C2211yescharacteristic, complemented
128C11×#389C2211yescharacteristic, complemented
129C11×#389C2211yescharacteristic, complemented
130C11×#389C2211yescharacteristic, complemented
131C11×#389C2211yescharacteristic, complemented
132C11×#389C2211yescharacteristic, complemented
133C11×#388C2211yescharacteristic
134C11×#388C2211yescharacteristic
135C11×#388C2211yescharacteristic
136C11×#388C2211yescharacteristic
137C11×#388C2211yescharacteristic
138C11×#388C2211yescharacteristic
139C11×#388C2211yescharacteristic
140C11×#388C2211yescharacteristic
141C11×#388C2211yescharacteristic
142C11×#388C2211yescharacteristic
143C11×#388C2211yescharacteristic
144C11×#388C2211yescharacteristic
145C11×#388C2211yescharacteristic
146C11×#388C2211yescharacteristic, complemented
147C11×#388C2211yescharacteristic, complemented
148C11×#388C2211yescharacteristic, complemented
149C11×#388C2211yescharacteristic, complemented
150C11×#388C2211yescharacteristic, complemented
151C11×#388C2211yescharacteristic, complemented
152C11×#388C2211yescharacteristic, complemented
153C11×#387C2211yescharacteristic, complemented
154C11×#387C2211yescharacteristic, complemented
155C11×#387C2211yescharacteristic, complemented
156C11×#387C2211yescharacteristic, complemented
157C11×#387C2211yescharacteristic, complemented
158C11×#387C2211yescharacteristic, complemented
159C11×#386C2211yescharacteristic
160C11×#386C2211yescharacteristic
161C11×#386C2211yescharacteristic
162C11×#386C2211yescharacteristic
163C11×#386C2211yescharacteristic
164C11×#386C2211yescharacteristic
165C11×#386C2211yescharacteristic
166C11×#386C2211yescharacteristic
167C11×#386C2211yescharacteristic, complemented
168C11×#386C2211yescharacteristic, complemented
169C11×#386C2211yescharacteristic, complemented
170C11×#386C2211yescharacteristic, complemented
171C11×#386C2211yescharacteristic, complemented
172C11×#385C2211yescharacteristic
173C11×#385C2211yescharacteristic, complemented
174C11×#385C2211yescharacteristic, complemented
175C11×#385C2211yescharacteristic, complemented
176C11×#385C2211yescharacteristic, complemented
177C11×#382C2211yescharacteristic, complemented
178C11×#381C2211yescharacteristic
179C11×#381C2211yescharacteristic
180C11×#380C2211yescharacteristic, complemented
181C11×#380C2211yescharacteristic, complemented
182C11×#379C2211yescharacteristic
183C11×#379C2211yescharacteristic
184C11×#379C2211yescharacteristic
185C4×C11×C4⋊C4C2211yescharacteristic, complemented
186C4×C11×C22⋊C4C2211yescharacteristic
187C4×C11×C22⋊C4C2211yescharacteristic, complemented
188C11×#376C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×Q8×C11C2311yescharacteristic
192C22×Q8×C11C2311yescharacteristic
193C22×Q8×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
203C22×D4×C11C2311yescharacteristic
204C22×D4×C11C2311yescharacteristic
205C22×D4×C11C2311yescharacteristic
206C23×C4×C11C2311yescharacteristic
207C23×C4×C11C2311yescharacteristic
208C23×C4×C11C2311yescharacteristic
209C23×C4×C11C2311yescharacteristic
210C23×C4×C11C2311yescharacteristic
211C23×C4×C11C2311yescharacteristic
212C23×C4×C11C2311yescharacteristic
213C11×C4⋊Q8—24no—
214C11×#126—24no—
215C11×#126—24no—
216C11×#126—24no—
217C11×#126—24no—
218C11×#124—24no—
219C11×#124—24no—
220C11×#124—24no—
221C11×#124—24no—
222C11×#124—24no—
223C11×#124—42no—
224C11×#123—24no—
225C11×#123—24no—
226C11×#123—24no—
227C11×#123—24no—
228C11×C22⋊Q8—24no—
229C11×C22⋊Q8—24no—
230C11×C22⋊Q8—24no—
231C11×C22⋊Q8—24no—
232C11×C22⋊Q8—42no—
233C11×#121—24no—
234C11×#121—24no—
235C11×#121—24no—
236C11×#121—24no—
237C11×#121—42no—
238C11×#120—24no—
239C11×#120—24no—
240C11×#120—42no—
241C4×Q8×C11—24no—
242C4×D4×C11—24no—
243C4×D4×C11D418yescomplemented
244C11×#117—24no—
245C11×#117—42no—
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊C4C2311yescharacteristic
248C2×C11×C4⋊C4C2311yescharacteristic
249C2×C11×C4⋊C4C2311yescharacteristic
250C2×C11×C4⋊C4C2311yescharacteristic
251C2×C11×C4⋊C4C2311yescharacteristic
252C2×C11×C4⋊C4C2311yescharacteristic
253C2×C11×C4⋊C4C2311yescharacteristic
254C2×C11×C4⋊C4C2311yescharacteristic
255C2×C11×C4⋊C4C2311yescharacteristic
256C2×C11×C4⋊C4C2311yescharacteristic
257C2×C11×C4⋊C4C2311yescharacteristic
258C2×C11×C4⋊C4C2311yescharacteristic
259C2×C11×C4⋊C4C2311yescharacteristic
260C2×C11×C4⋊C4C2311yescharacteristic
261C2×C11×C4⋊C4C2311yescharacteristic
262C2×C11×C4⋊C4C2311yescharacteristic
263C2×C11×C4⋊C4C2311yescharacteristic
264C2×C11×C4⋊C4C2311yescharacteristic
265C2×C11×C4⋊C4C2311yescharacteristic
266C2×C11×C4⋊C4C2311yescharacteristic
267C2×C11×C4⋊C4C2311yescharacteristic
268C2×C11×C4⋊C4C2311yescharacteristic
269C2×C11×C4⋊C4C2311yescharacteristic
270C2×C11×C4⋊C4C2311yescharacteristic
271C2×C11×C4⋊C4C2311yescharacteristic
272C2×C11×C4⋊C4C2311yescharacteristic
273C2×C11×C4⋊C4C2311yescharacteristic
274C2×C11×C22⋊C4—24no—
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×C11×C22⋊C4C2311yescharacteristic
307C2×C11×C22⋊C4C2311yescharacteristic
308C2×C11×C22⋊C4C2311yescharacteristic
309C2×C11×C22⋊C4C2311yescharacteristic
310C2×C11×C22⋊C4C2311yescharacteristic
311C2×C11×C22⋊C4C2311yescharacteristic
312C2×C11×C22⋊C4C2311yescharacteristic
313C2×C11×C22⋊C4C2311yescharacteristic
314C2×C11×C22⋊C4C2311yescharacteristic
315C2×C11×C22⋊C4C2311yescharacteristic
316C2×C11×C22⋊C4C2311yescharacteristic
317C2×C11×C22⋊C4C2311yescharacteristic
318C2×C11×C22⋊C4C2311yescharacteristic
319C2×C11×C22⋊C4C2311yescharacteristic
320C2×C11×C22⋊C4C2311yescharacteristic
321C2×C11×C22⋊C4C2311yescharacteristic
322C2×C11×C22⋊C4C2311yescharacteristic
323C2×C11×C22⋊C4C2311yescharacteristic
324C2×C11×C22⋊C4C2311yescharacteristic
325C2×C11×C22⋊C4C2311yescharacteristic
326C2×C11×C22⋊C4C2311yescharacteristic
327C2×C11×C22⋊C4C2311yescharacteristic
328C2×C11×C22⋊C4C2311yescharacteristic
329C2×C11×C22⋊C4C2311yescharacteristic
330C2×C11×C22⋊C4C2311yescharacteristic
331C2×C42×C11—42no—
332C2×C42×C11C2311yescharacteristic
333C2×C42×C11C2311yescharacteristic
334C2×C42×C11C2311yescharacteristic
335C2×C42×C11C2311yescharacteristic
336C2×C42×C11C2311yescharacteristic
337C2×C42×C11C2311yescharacteristic
338C2×C42×C11C2311yescharacteristic
339C2×C42×C11C2311yescharacteristic
340C2×C42×C11C2311yescharacteristic
341C2×C42×C11C2311yescharacteristic
342C2×C42×C11C2311yescharacteristic
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11×#95C2311yescharacteristic
363C11×#95C2311yescharacteristic
364C11×#95C2311yescharacteristic
365C11×#95C2311yescharacteristic
366C11×#95C2311yescharacteristic
367C11×#95C2311yescharacteristic
368C11×#95C2311yescharacteristic
369C11×#95C2311yescharacteristic
370C11×#95C2311yescharacteristic
371C11×#95C2311yescharacteristic
372C11×#95C2311yescharacteristic
373C11×#95C2311yescharacteristic
374C11×#95C2311yescharacteristic
375C11×#95C2311yescharacteristic
376C11×#95C2311yescharacteristic
377C11×#95C2311yescharacteristic
378C11×#95C2311yescharacteristic
379#36745C1111yesmaximal, characteristic, direct product factor, Sylow
380C24×C11—22no—
381C24×C11—41no—
382C24×C11—41no—
383C24×C11—41no—
384C24×C11—41no—
385C24×C11—41no—
386C24×C11—41no—
387C24×C11C2411yescharacteristic
388C24×C11C2411yescharacteristic
389C24×C11C2411yescharacteristic
390C24×C11C2411yescharacteristic
391C24×C11C2411yescharacteristic
392C24×C11C2411yescharacteristic
393C2×Q8×C11—22no—
394C2×Q8×C11—22no—
395C2×Q8×C11—22no—
396C2×Q8×C11—22no—
397C2×Q8×C11—41no—
398C2×Q8×C11—41no—
399C2×Q8×C11—41no—
400C2×Q8×C11—41no—
401C2×Q8×C11—41no—
402C2×Q8×C11—41no—
403C2×Q8×C11—41no—
404C2×Q8×C11—41no—
405C2×D4×C11—22no—
406C2×D4×C11—22no—
407C2×D4×C11—22no—
408C2×D4×C11—22no—
409C2×D4×C11—22no—
410C2×D4×C11—22no—
411C2×D4×C11—22no—
412C2×D4×C11—22no—
413C2×D4×C11—22no—
414C2×D4×C11—41no—
415C2×D4×C11—41no—
416C2×D4×C11—41no—
417C2×D4×C11—41no—
418C2×D4×C11—41no—
419C2×D4×C11—41no—
420C2×D4×C11—41no—
421C2×D4×C11—41no—
422C2×D4×C11—41no—
423C2×D4×C11—41no—
424C2×D4×C11—41no—
425C2×D4×C11—41no—
426C2×D4×C11—41no—
427C2×D4×C11—41no—
428C2×D4×C11—41no—
429C2×D4×C11—41no—
430C2×D4×C11—41no—
431C2×D4×C11—41no—
432C2×D4×C11—41no—
433C2×D4×C11—41no—
434C2×D4×C11—41no—
435C2×D4×C11—41no—
436C2×D4×C11—41no—
437C2×D4×C11—41no—
438C2×D4×C11—41no—
439C2×D4×C11—41no—
440C2×D4×C11C2×D414yes—
441C22×C4×C11—22no—
442C22×C4×C11—22no—
443C22×C4×C11—22no—
444C22×C4×C11—22no—
445C22×C4×C11—41no—
446C22×C4×C11—41no—
447C22×C4×C11—41no—
448C22×C4×C11—41no—
449C22×C4×C11—41no—
450C22×C4×C11—41no—
451C22×C4×C11—41no—
452C22×C4×C11—41no—
453C22×C4×C11—41no—
454C22×C4×C11—41no—
455C22×C4×C11—41no—
456C22×C4×C11—41no—
457C22×C4×C11—41no—
458C22×C4×C11—41no—
459C22×C4×C11—41no—
460C22×C4×C11C2×D414yes—
461C22×C4×C11C2×D414yes—
462C22×C4×C11C2411yescharacteristic
463C22×C4×C11C2411yescharacteristic
464C22×C4×C11C2411yescharacteristic
465C22×C4×C11C2411yescharacteristic
466C22×C4×C11C2411yescharacteristic
467C22×C4×C11C2411yescharacteristic
468C22×C4×C11C2411yescharacteristic
469C22×C4×C11C2411yescharacteristic
470C22×C4×C11C2411yescharacteristic
471C22×C4×C11C2411yescharacteristic
472C22×C4×C11C2411yescharacteristic
473C22×C4×C11C2411yescharacteristic
474C22×C4×C11C2411yescharacteristic
475C22×C4×C11C2411yescharacteristic
476C22×C4×C11C2411yescharacteristic
477C22×C4×C11C2411yescharacteristic
478C22×C4×C11C2411yescharacteristic
479C22×C4×C11C2411yescharacteristic
480C22×C4×C11C2411yescharacteristic
481C22×C4×C11C2411yescharacteristic
482C22×C4×C11C2411yescharacteristic
483C22×C4×C11C2411yescharacteristic
484C22×C4×C11C2411yescharacteristic
485C22×C4×C11C2411yescharacteristic
486C22×C4×C11C2411yescharacteristic
487C11×C4⋊C4—22no—
488C11×C4⋊C4—22no—
489C11×C4⋊C4—22no—
490C11×C4⋊C4—22no—
491C11×C4⋊C4—22no—
492C11×C4⋊C4—22no—
493C11×C4⋊C4—22no—
494C11×C4⋊C4—22no—
495C11×C4⋊C4—22no—
496C11×C4⋊C4—22no—
497C11×C4⋊C4—22no—
498C11×C4⋊C4—22no—
499C11×C4⋊C4—22no—
500C11×C4⋊C4—22no—
501C11×C4⋊C4—22no—
502C11×C4⋊C4—22no—
503C11×C4⋊C4—41no—
504C11×C4⋊C4—41no—
505C11×C4⋊C4—41no—
506C11×C4⋊C4—41no—
507C11×C4⋊C4—41no—
508C11×C4⋊C4—41no—
509C11×C4⋊C4—41no—
510C11×C4⋊C4—41no—
511C11×C4⋊C4—41no—
512C11×C4⋊C4—41no—
513C11×C4⋊C4—41no—
514C11×C4⋊C4C2×D414yes—
515C11×C22⋊C4—22no—
516C11×C22⋊C4—22no—
517C11×C22⋊C4—22no—
518C11×C22⋊C4—22no—
519C11×C22⋊C4—22no—
520C11×C22⋊C4—22no—
521C11×C22⋊C4—22no—
522C11×C22⋊C4—22no—
523C11×C22⋊C4—22no—
524C11×C22⋊C4—22no—
525C11×C22⋊C4—22no—
526C11×C22⋊C4—22no—
527C11×C22⋊C4—22no—
528C11×C22⋊C4—22no—
529C11×C22⋊C4—22no—
530C11×C22⋊C4—22no—
531C11×C22⋊C4—22no—
532C11×C22⋊C4—22no—
533C11×C22⋊C4—22no—
534C11×C22⋊C4—22no—
535C11×C22⋊C4—22no—
536C11×C22⋊C4—22no—
537C11×C22⋊C4—22no—
538C11×C22⋊C4—22no—
539C11×C22⋊C4—22no—
540C11×C22⋊C4—41no—
541C11×C22⋊C4—41no—
542C11×C22⋊C4—41no—
543C11×C22⋊C4—41no—
544C11×C22⋊C4—41no—
545C11×C22⋊C4—41no—
546C11×C22⋊C4—41no—
547C11×C22⋊C4—41no—
548C11×C22⋊C4—41no—
549C11×C22⋊C4—41no—
550C11×C22⋊C4—41no—
551C11×C22⋊C4—41no—
552C11×C22⋊C4—41no—
553C11×C22⋊C4—41no—
554C11×C22⋊C4—41no—
555C11×C22⋊C4—41no—
556C11×C22⋊C4—41no—
557C11×C22⋊C4—41no—
558C11×C22⋊C4—41no—
559C11×C22⋊C4—41no—
560C11×C22⋊C4—41no—
561C11×C22⋊C4—41no—
562C11×C22⋊C4—41no—
563C11×C22⋊C4—41no—
564C11×C22⋊C4—41no—
565C11×C22⋊C4—41no—
566C11×C22⋊C4—41no—
567C11×C22⋊C4—41no—
568C11×C22⋊C4—41no—
569C11×C22⋊C4C2×D414yes—
570C11×C22⋊C4C2×D414yes—
571C42×C11—22no—
572C42×C11—22no—
573C42×C11—22no—
574C42×C11—22no—
575C42×C11—22no—
576C42×C11—22no—
577C42×C11—41no—
578C42×C11—41no—
579C42×C11—41no—
580C42×C11—41no—
581C42×C11C2×D414yes—
582C2×#542C2×C1111yescharacteristic, complemented
583C2×#538C2×C1111yescharacteristic, complemented
584#2854C2×C1111yescharacteristic, complemented
585#2850C2×C1111yescharacteristic, complemented
586#2723C2×C1111yescharacteristic, complemented
587#2716C2×C1111yescharacteristic, complemented
588#2715C2×C1111yescharacteristic, complemented
589#2712C2×C1111yescharacteristic, complemented
590#2700C2×C1111yescharacteristic, complemented
591#2698C2×C1111yescharacteristic, complemented
592#2696C2×C1111yescharacteristic, complemented
593#2691C2×C1111yescharacteristic, complemented
594#2688C2×C1111yescharacteristic, complemented
595#2686C2×C1111yescharacteristic, complemented
596#2685C2×C1111yescharacteristic, complemented
597#2684C2×C1111yescharacteristic, complemented
598#2676C2×C1111yescharacteristic, complemented
599#2674C2×C1111yescharacteristic, complemented
600#2670C2×C1111yescharacteristic, complemented
601#2668C2×C1111yescharacteristic, complemented
602#2663C2×C1111yescharacteristic, complemented
603#2661C2×C1111yescharacteristic, complemented
604#2610C2×C1111yescharacteristic, complemented
605#2604C2×C1111yescharacteristic, complemented
606#2602C2×C1111yescharacteristic, complemented
607#2601C2×C1111yescharacteristic, complemented
608#2592C2×C1111yescharacteristic, complemented
609#2561C2×C1111yescharacteristic, complemented
610#2415C2×C1111yescharacteristic, complemented
611#2411C2×C1111yescharacteristic, complemented
612#2290C2×C1111yescharacteristic, complemented
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—21no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—21no—
653C23×C11—44no—
654C23×C11—82no—
655C23×C11—82no—
656C23×C11—82no—
657C23×C11—82no—
658C23×C11—82no—
659C23×C11—82no—
660C23×C11C22×D412yes—
661C23×C11C22×D412yes—
662C23×C11C2511yescharacteristic
663Q8×C11—44no—
664Q8×C11—82no—
665Q8×C11—82no—
666Q8×C11—82no—
667D4×C11—44no—
668D4×C11—44no—
669D4×C11—82no—
670D4×C11—82no—
671D4×C11—82no—
672D4×C11—82no—
673D4×C11—82no—
674D4×C11—82no—
675D4×C11—82no—
676D4×C11—82no—
677D4×C11—82no—
678D4×C11—82no—
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—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—21no—
744C2×C4×C11—21no—
745C2×C4×C11—21no—
746C2×C4×C11—21no—
747C2×C4×C11—21no—
748C2×C4×C11—44no—
749C2×C4×C11—44no—
750C2×C4×C11—44no—
751C2×C4×C11—44no—
752C2×C4×C11—44no—
753C2×C4×C11—82no—
754C2×C4×C11—82no—
755C2×C4×C11C22×D412yes—
756C2×C4×C11C22×D412yes—
757C2×C4×C11C22×D412yes—
758C2×C4×C11C22×D412yes—
759C2×C4×C11C22×D412yes—
760C2×C4×C11H(5,𝔽2)12yes—
761#542—28no—
762#538—28no—
763C2×C4⋊Q8C22×C1111yescharacteristic, complemented
764C2×#126C22×C1111yescharacteristic
765C2×#126C22×C1111yescharacteristic
766C2×#126C22×C1111yescharacteristic
767C2×#126C22×C1111yescharacteristic, complemented
768C2×#124C22×C1111yescharacteristic
769C2×#124C22×C1111yescharacteristic
770C2×#124C22×C1111yescharacteristic
771C2×#124C22×C1111yescharacteristic
772C2×#124C22×C1111yescharacteristic
773C2×#124C22×C1111yescharacteristic, complemented
774C2×#123C22×C1111yescharacteristic
775C2×#123C22×C1111yescharacteristic
776C2×#123C22×C1111yescharacteristic
777C2×#123C22×C1111yescharacteristic, complemented
778C2×C22⋊Q8C22×C1111yescharacteristic
779C2×C22⋊Q8C22×C1111yescharacteristic
780C2×C22⋊Q8C22×C1111yescharacteristic, complemented
781C2×C22⋊Q8C22×C1111yescharacteristic, complemented
782C2×C22⋊Q8C22×C1111yescharacteristic, complemented
783C2×#121C22×C1111yescharacteristic
784C2×#121C22×C1111yescharacteristic
785C2×#121C22×C1111yescharacteristic
786C2×#121C22×C1111yescharacteristic
787C2×#121C22×C1111yescharacteristic
788C2×#120C22×C1111yescharacteristic
789C2×#120C22×C1111yescharacteristic
790C2×#120C22×C1111yescharacteristic
791C2×C4×Q8C22×C1111yescharacteristic, complemented
792C2×C4×D4C22×C1111yescharacteristic
793C2×C4×D4C22×C1111yescharacteristic
794C2×#117C22×C1111yescharacteristic
795C2×#117C22×C1111yescharacteristic, complemented
796C22×C22⋊C4C22×C1111yescharacteristic
797C22×C42C22×C1111yescharacteristic, complemented
798#400C22×C1111yescharacteristic, complemented
799#400C22×C1111yescharacteristic, complemented
800#399C22×C1111yescharacteristic
801#399C22×C1111yescharacteristic
802#398C22×C1111yescharacteristic, complemented
803#398C22×C1111yescharacteristic, complemented
804#397C22×C1111yescharacteristic
805#397C22×C1111yescharacteristic
806#397C22×C1111yescharacteristic
807#397C22×C1111yescharacteristic
808#397C22×C1111yescharacteristic
809#397C22×C1111yescharacteristic
810#397C22×C1111yescharacteristic, complemented
811#397C22×C1111yescharacteristic, complemented
812#397C22×C1111yescharacteristic, complemented
813#397C22×C1111yescharacteristic, complemented
814#396C22×C1111yescharacteristic
815#396C22×C1111yescharacteristic
816#396C22×C1111yescharacteristic
817#396C22×C1111yescharacteristic, complemented
818#395C22×C1111yescharacteristic, complemented
819#395C22×C1111yescharacteristic, complemented
820#395C22×C1111yescharacteristic, complemented
821#394C22×C1111yescharacteristic
822#394C22×C1111yescharacteristic
823#394C22×C1111yescharacteristic
824#394C22×C1111yescharacteristic
825#394C22×C1111yescharacteristic
826#394C22×C1111yescharacteristic
827#394C22×C1111yescharacteristic
828#394C22×C1111yescharacteristic
829#394C22×C1111yescharacteristic
830#394C22×C1111yescharacteristic
831#394C22×C1111yescharacteristic
832#394C22×C1111yescharacteristic
833#394C22×C1111yescharacteristic, complemented
834#393C22×C1111yescharacteristic
835#393C22×C1111yescharacteristic
836#393C22×C1111yescharacteristic
837#393C22×C1111yescharacteristic
838#393C22×C1111yescharacteristic
839#393C22×C1111yescharacteristic, complemented
840#393C22×C1111yescharacteristic, complemented
841#392C22×C1111yescharacteristic
842#392C22×C1111yescharacteristic
843#392C22×C1111yescharacteristic
844#392C22×C1111yescharacteristic
845#392C22×C1111yescharacteristic, complemented
846#391C22×C1111yescharacteristic, complemented
847#391C22×C1111yescharacteristic, complemented
848#391C22×C1111yescharacteristic, complemented
849#391C22×C1111yescharacteristic, complemented
850#390C22×C1111yescharacteristic
851#390C22×C1111yescharacteristic
852#390C22×C1111yescharacteristic
853#390C22×C1111yescharacteristic
854#390C22×C1111yescharacteristic
855#390C22×C1111yescharacteristic
856#390C22×C1111yescharacteristic, complemented
857#389C22×C1111yescharacteristic, complemented
858#389C22×C1111yescharacteristic, complemented
859#389C22×C1111yescharacteristic, complemented
860#389C22×C1111yescharacteristic, complemented
861#389C22×C1111yescharacteristic, complemented
862#388C22×C1111yescharacteristic
863#388C22×C1111yescharacteristic
864#388C22×C1111yescharacteristic
865#388C22×C1111yescharacteristic
866#388C22×C1111yescharacteristic
867#388C22×C1111yescharacteristic
868#388C22×C1111yescharacteristic
869#388C22×C1111yescharacteristic
870#388C22×C1111yescharacteristic
871#388C22×C1111yescharacteristic
872#388C22×C1111yescharacteristic
873#388C22×C1111yescharacteristic
874#388C22×C1111yescharacteristic
875#388C22×C1111yescharacteristic, complemented
876#388C22×C1111yescharacteristic, complemented
877#388C22×C1111yescharacteristic, complemented
878#388C22×C1111yescharacteristic, complemented
879#388C22×C1111yescharacteristic, complemented
880#388C22×C1111yescharacteristic, complemented
881#388C22×C1111yescharacteristic, complemented
882#387C22×C1111yescharacteristic, complemented
883#387C22×C1111yescharacteristic, complemented
884#387C22×C1111yescharacteristic, complemented
885#387C22×C1111yescharacteristic, complemented
886#387C22×C1111yescharacteristic, complemented
887#387C22×C1111yescharacteristic, complemented
888#386C22×C1111yescharacteristic
889#386C22×C1111yescharacteristic
890#386C22×C1111yescharacteristic
891#386C22×C1111yescharacteristic
892#386C22×C1111yescharacteristic
893#386C22×C1111yescharacteristic
894#386C22×C1111yescharacteristic
895#386C22×C1111yescharacteristic
896#386C22×C1111yescharacteristic, complemented
897#386C22×C1111yescharacteristic, complemented
898#386C22×C1111yescharacteristic, complemented
899#386C22×C1111yescharacteristic, complemented
900#386C22×C1111yescharacteristic, complemented
901#385C22×C1111yescharacteristic
902#385C22×C1111yescharacteristic, complemented
903#385C22×C1111yescharacteristic, complemented
904#385C22×C1111yescharacteristic, complemented
905#385C22×C1111yescharacteristic, complemented
906#382C22×C1111yescharacteristic, complemented
907#381C22×C1111yescharacteristic
908#381C22×C1111yescharacteristic
909#380C22×C1111yescharacteristic, complemented
910#380C22×C1111yescharacteristic, complemented
911#379C22×C1111yescharacteristic
912#379C22×C1111yescharacteristic
913#379C22×C1111yescharacteristic
914C4×C4⋊C4C22×C1111yescharacteristic, complemented
915C4×C22⋊C4C22×C1111yescharacteristic
916C4×C22⋊C4C22×C1111yescharacteristic, complemented
917#376C22×C1111yescharacteristic, complemented
918C22×C11—22no—
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—22no—
922C22×C11—22no—
923C22×C11—22no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11—41no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11—41no—
936C22×C11—41no—
937C22×C11—41no—
938C22×C11—41no—
939C22×C11—41no—
940C22×C11—41no—
941C22×C11—41no—
942C22×C11—41no—
943C22×C11—41no—
944C22×C11—41no—
945C22×C11—41no—
946C22×C11—41no—
947C22×C11—41no—
948C22×C11—41no—
949C22×C11—41no—
950C22×C11—41no—
951C22×C11—41no—
952C22×C11—41no—
953C22×C11—41no—
954C22×C11—41no—
955C22×C11—41no—
956C22×C11—41no—
957C22×C11—41no—
958C22×C11—41no—
959C22×C11—41no—
960C22×C11—88no—
961C22×C11C23×D411yescharacteristic
962C22×C11C2×H(5,𝔽2)11yescharacteristic
963C22×C11#58511yescharacteristic
964C22×C11#58511yescharacteristic
965C22×C11#58511yescharacteristic
966C22×C11#58511yescharacteristic
967C22×C11#58511yescharacteristic
968C4×C11—22no—
969C4×C11—22no—
970C4×C11—22no—
971C4×C11—22no—
972C4×C11—22no—
973C4×C11—22no—
974C4×C11—41no—
975C4×C11—41no—
976C4×C11—41no—
977C4×C11—41no—
978C4×C11—41no—
979C4×C11—41no—
980C4×C11—41no—
981C4×C11—41no—
982C4×C11—41no—
983C4×C11—41no—
984C4×C11—41no—
985C4×C11—41no—
986C4×C11—41no—
987C4×C11—41no—
988C4×C11—41no—
989C4×C11—41no—
990C4×C11—41no—
991C4×C11—41no—
992C4×C11—41no—
993C25C23×C1111yescharacteristic
994C22×Q8C23×C1111yescharacteristic
995C22×Q8C23×C1111yescharacteristic
996C22×Q8C23×C1111yescharacteristic
997C22×Q8C23×C1111yescharacteristic
998C22×D4C23×C1111yescharacteristic
999C22×D4C23×C1111yescharacteristic
1000C22×D4C23×C1111yescharacteristic
1001C22×D4C23×C1111yescharacteristic
1002C22×D4C23×C1111yescharacteristic
1003C22×D4C23×C1111yescharacteristic
1004C22×D4C23×C1111yescharacteristic
1005C22×D4C23×C1111yescharacteristic
1006C22×D4C23×C1111yescharacteristic
1007C22×D4C23×C1111yescharacteristic
1008C22×D4C23×C1111yescharacteristic
1009C22×D4C23×C1111yescharacteristic
1010C23×C4C23×C1111yescharacteristic
1011C23×C4C23×C1111yescharacteristic
1012C23×C4C23×C1111yescharacteristic
1013C23×C4C23×C1111yescharacteristic
1014C23×C4C23×C1111yescharacteristic
1015C23×C4C23×C1111yescharacteristic
1016C23×C4C23×C1111yescharacteristic
1017C4⋊Q8—24no—
1018#126—24no—
1019#126—24no—
1020#126—24no—
1021#126—24no—
1022#124—24no—
1023#124—24no—
1024#124—24no—
1025#124—24no—
1026#124—24no—
1027#124—42no—
1028#123—24no—
1029#123—24no—
1030#123—24no—
1031#123—24no—
1032C22⋊Q8—24no—
1033C22⋊Q8—24no—
1034C22⋊Q8—24no—
1035C22⋊Q8—24no—
1036C22⋊Q8—42no—
1037#121—24no—
1038#121—24no—
1039#121—24no—
1040#121—24no—
1041#121—42no—
1042#120—24no—
1043#120—24no—
1044#120—42no—
1045C4×Q8—24no—
1046C4×D4—24no—
1047C4×D4D4×C1118yescomplemented
1048#117—24no—
1049#117—42no—
1050C2×C4⋊C4C23×C1111yescharacteristic
1051C2×C4⋊C4C23×C1111yescharacteristic
1052C2×C4⋊C4C23×C1111yescharacteristic
1053C2×C4⋊C4C23×C1111yescharacteristic
1054C2×C4⋊C4C23×C1111yescharacteristic
1055C2×C4⋊C4C23×C1111yescharacteristic
1056C2×C4⋊C4C23×C1111yescharacteristic
1057C2×C4⋊C4C23×C1111yescharacteristic
1058C2×C4⋊C4C23×C1111yescharacteristic
1059C2×C4⋊C4C23×C1111yescharacteristic
1060C2×C4⋊C4C23×C1111yescharacteristic
1061C2×C4⋊C4C23×C1111yescharacteristic
1062C2×C4⋊C4C23×C1111yescharacteristic
1063C2×C4⋊C4C23×C1111yescharacteristic
1064C2×C4⋊C4C23×C1111yescharacteristic
1065C2×C4⋊C4C23×C1111yescharacteristic
1066C2×C4⋊C4C23×C1111yescharacteristic
1067C2×C4⋊C4C23×C1111yescharacteristic
1068C2×C4⋊C4C23×C1111yescharacteristic
1069C2×C4⋊C4C23×C1111yescharacteristic
1070C2×C4⋊C4C23×C1111yescharacteristic
1071C2×C4⋊C4C23×C1111yescharacteristic
1072C2×C4⋊C4C23×C1111yescharacteristic
1073C2×C4⋊C4C23×C1111yescharacteristic
1074C2×C4⋊C4C23×C1111yescharacteristic
1075C2×C4⋊C4C23×C1111yescharacteristic
1076C2×C4⋊C4C23×C1111yescharacteristic
1077C2×C4⋊C4C23×C1111yescharacteristic
1078C2×C22⋊C4—24no—
1079C2×C22⋊C4C23×C1111yescharacteristic
1080C2×C22⋊C4C23×C1111yescharacteristic
1081C2×C22⋊C4C23×C1111yescharacteristic
1082C2×C22⋊C4C23×C1111yescharacteristic
1083C2×C22⋊C4C23×C1111yescharacteristic
1084C2×C22⋊C4C23×C1111yescharacteristic
1085C2×C22⋊C4C23×C1111yescharacteristic
1086C2×C22⋊C4C23×C1111yescharacteristic
1087C2×C22⋊C4C23×C1111yescharacteristic
1088C2×C22⋊C4C23×C1111yescharacteristic
1089C2×C22⋊C4C23×C1111yescharacteristic
1090C2×C22⋊C4C23×C1111yescharacteristic
1091C2×C22⋊C4C23×C1111yescharacteristic
1092C2×C22⋊C4C23×C1111yescharacteristic
1093C2×C22⋊C4C23×C1111yescharacteristic
1094C2×C22⋊C4C23×C1111yescharacteristic
1095C2×C22⋊C4C23×C1111yescharacteristic
1096C2×C22⋊C4C23×C1111yescharacteristic
1097C2×C22⋊C4C23×C1111yescharacteristic
1098C2×C22⋊C4C23×C1111yescharacteristic
1099C2×C22⋊C4C23×C1111yescharacteristic
1100C2×C22⋊C4C23×C1111yescharacteristic
1101C2×C22⋊C4C23×C1111yescharacteristic
1102C2×C22⋊C4C23×C1111yescharacteristic
1103C2×C22⋊C4C23×C1111yescharacteristic
1104C2×C22⋊C4C23×C1111yescharacteristic
1105C2×C22⋊C4C23×C1111yescharacteristic
1106C2×C22⋊C4C23×C1111yescharacteristic
1107C2×C22⋊C4C23×C1111yescharacteristic
1108C2×C22⋊C4C23×C1111yescharacteristic
1109C2×C22⋊C4C23×C1111yescharacteristic
1110C2×C22⋊C4C23×C1111yescharacteristic
1111C2×C22⋊C4C23×C1111yescharacteristic
1112C2×C22⋊C4C23×C1111yescharacteristic
1113C2×C22⋊C4C23×C1111yescharacteristic
1114C2×C22⋊C4C23×C1111yescharacteristic
1115C2×C22⋊C4C23×C1111yescharacteristic
1116C2×C22⋊C4C23×C1111yescharacteristic
1117C2×C22⋊C4C23×C1111yescharacteristic
1118C2×C22⋊C4C23×C1111yescharacteristic
1119C2×C22⋊C4C23×C1111yescharacteristic
1120C2×C22⋊C4C23×C1111yescharacteristic
1121C2×C22⋊C4C23×C1111yescharacteristic
1122C2×C22⋊C4C23×C1111yescharacteristic
1123C2×C22⋊C4C23×C1111yescharacteristic
1124C2×C22⋊C4C23×C1111yescharacteristic
1125C2×C22⋊C4C23×C1111yescharacteristic
1126C2×C22⋊C4C23×C1111yescharacteristic
1127C2×C22⋊C4C23×C1111yescharacteristic
1128C2×C22⋊C4C23×C1111yescharacteristic
1129C2×C22⋊C4C23×C1111yescharacteristic
1130C2×C22⋊C4C23×C1111yescharacteristic
1131C2×C22⋊C4C23×C1111yescharacteristic
1132C2×C22⋊C4C23×C1111yescharacteristic
1133C2×C22⋊C4C23×C1111yescharacteristic
1134C2×C22⋊C4C23×C1111yescharacteristic
1135C2×C42—42no—
1136C2×C42C23×C1111yescharacteristic
1137C2×C42C23×C1111yescharacteristic
1138C2×C42C23×C1111yescharacteristic
1139C2×C42C23×C1111yescharacteristic
1140C2×C42C23×C1111yescharacteristic
1141C2×C42C23×C1111yescharacteristic
1142C2×C42C23×C1111yescharacteristic
1143C2×C42C23×C1111yescharacteristic
1144C2×C42C23×C1111yescharacteristic
1145C2×C42C23×C1111yescharacteristic
1146C2×C42C23×C1111yescharacteristic
1147#95C23×C1111yescharacteristic
1148#95C23×C1111yescharacteristic
1149#95C23×C1111yescharacteristic
1150#95C23×C1111yescharacteristic
1151#95C23×C1111yescharacteristic
1152#95C23×C1111yescharacteristic
1153#95C23×C1111yescharacteristic
1154#95C23×C1111yescharacteristic
1155#95C23×C1111yescharacteristic
1156#95C23×C1111yescharacteristic
1157#95C23×C1111yescharacteristic
1158#95C23×C1111yescharacteristic
1159#95C23×C1111yescharacteristic
1160#95C23×C1111yescharacteristic
1161#95C23×C1111yescharacteristic
1162#95C23×C1111yescharacteristic
1163#95C23×C1111yescharacteristic
1164#95C23×C1111yescharacteristic
1165#95C23×C1111yescharacteristic
1166#95C23×C1111yescharacteristic
1167#95C23×C1111yescharacteristic
1168#95C23×C1111yescharacteristic
1169#95C23×C1111yescharacteristic
1170#95C23×C1111yescharacteristic
1171#95C23×C1111yescharacteristic
1172#95C23×C1111yescharacteristic
1173#95C23×C1111yescharacteristic
1174#95C23×C1111yescharacteristic
1175#95C23×C1111yescharacteristic
1176#95C23×C1111yescharacteristic
1177#95C23×C1111yescharacteristic
1178#95C23×C1111yescharacteristic
1179#95C23×C1111yescharacteristic
1180#95C23×C1111yescharacteristic
1181#95C23×C1111yescharacteristic
1182#95C23×C1111yescharacteristic
1183C2×C11—42no—
1184C2×C11—42no—
1185C2×C11—81no—
1186C2×C11—81no—
1187C2×C11—81no—
1188C2×C11—81no—
1189C2×C11#344911yescharacteristic
1190C2×C11#349611yescharacteristic
1191C2×C11#350011yescharacteristic
1192C2×C11#353311yescharacteristic
1193C2×C11#354011yescharacteristic
1194C2×C11#356611yescharacteristic
1195C2×C11#356811yescharacteristic
1196C24—22no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24—41no—
1201C24—41no—
1202C24—41no—
1203C24C24×C1111yescharacteristic
1204C24C24×C1111yescharacteristic
1205C24C24×C1111yescharacteristic
1206C24C24×C1111yescharacteristic
1207C24C24×C1111yescharacteristic
1208C24C24×C1111yescharacteristic
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—41no—
1214C2×Q8—41no—
1215C2×Q8—41no—
1216C2×Q8—41no—
1217C2×Q8—41no—
1218C2×Q8—41no—
1219C2×Q8—41no—
1220C2×Q8—41no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4C2×D4×C1114yes—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—41no—
1262C22×C4—41no—
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×C4—41no—
1275C22×C4—41no—
1276C22×C4C2×D4×C1114yes—
1277C22×C4C2×D4×C1114yes—
1278C22×C4C24×C1111yescharacteristic
1279C22×C4C24×C1111yescharacteristic
1280C22×C4C24×C1111yescharacteristic
1281C22×C4C24×C1111yescharacteristic
1282C22×C4C24×C1111yescharacteristic
1283C22×C4C24×C1111yescharacteristic
1284C22×C4C24×C1111yescharacteristic
1285C22×C4C24×C1111yescharacteristic
1286C22×C4C24×C1111yescharacteristic
1287C22×C4C24×C1111yescharacteristic
1288C22×C4C24×C1111yescharacteristic
1289C22×C4C24×C1111yescharacteristic
1290C22×C4C24×C1111yescharacteristic
1291C22×C4C24×C1111yescharacteristic
1292C22×C4C24×C1111yescharacteristic
1293C22×C4C24×C1111yescharacteristic
1294C22×C4C24×C1111yescharacteristic
1295C22×C4C24×C1111yescharacteristic
1296C22×C4C24×C1111yescharacteristic
1297C22×C4C24×C1111yescharacteristic
1298C22×C4C24×C1111yescharacteristic
1299C22×C4C24×C1111yescharacteristic
1300C22×C4C24×C1111yescharacteristic
1301C22×C4C24×C1111yescharacteristic
1302C22×C4C24×C1111yescharacteristic
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4C2×D4×C1114yes—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4C2×D4×C1114yes—
1386C22⋊C4C2×D4×C1114yes—
1387C42—22no—
1388C42—22no—
1389C42—22no—
1390C42—22no—
1391C42—22no—
1392C42—22no—
1393C42—41no—
1394C42—41no—
1395C42—41no—
1396C42—41no—
1397C42C2×D4×C1114yes—
1398C11#3674511yescharacteristic, direct product factor, Sylow
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—44no—
1440C23—82no—
1441C23—82no—
1442C23—82no—
1443C23—82no—
1444C23—82no—
1445C23—82no—
1446C23C22×D4×C1112yes—
1447C23C22×D4×C1112yes—
1448C23C25×C1111yescharacteristic
1449Q8—44no—
1450Q8—82no—
1451Q8—82no—
1452Q8—82no—
1453D4—44no—
1454D4—44no—
1455D4—82no—
1456D4—82no—
1457D4—82no—
1458D4—82no—
1459D4—82no—
1460D4—82no—
1461D4—82no—
1462D4—82no—
1463D4—82no—
1464D4—82no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—44no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—82no—
1540C2×C4—82no—
1541C2×C4C22×D4×C1112yes—
1542C2×C4C22×D4×C1112yes—
1543C2×C4C22×D4×C1112yes—
1544C2×C4C22×D4×C1112yes—
1545C2×C4C22×D4×C1112yes—
1546C2×C4C11×H(5,𝔽2)12yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—88no—
1590C22C23×D4×C1111yescharacteristic
1591C22C2×C11×H(5,𝔽2)11yescharacteristic
1592C22C11×#58511yescharacteristic
1593C22C11×#58511yescharacteristic
1594C22C11×#58511yescharacteristic
1595C22C11×#58511yescharacteristic
1596C22C11×#58511yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—22no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C2—42no—
1623C2—42no—
1624C2—81no—
1625C2—81no—
1626C2—81no—
1627C2—81no—
1628C2C11×#344911yescharacteristic
1629C2C11×#349611yescharacteristic
1630C2C11×#350011yescharacteristic
1631C2C11×#353311yescharacteristic
1632C2C11×#354011yescharacteristic
1633C2C11×#356611yescharacteristic
1634C2C11×#356811yescharacteristic
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. C2×C11×#542C2semidirect
2. C2×C11×#538C2semidirect
3. C11×#2854C2semidirect
4. C11×#2850C2semidirect
5. C11×#2723C2semidirect
6. C11×#2716C2semidirect
7. C11×#2715C2semidirect
8. C11×#2712C2semidirect
9. C11×#2700C2semidirect
10. C11×#2698C2semidirect
11. C11×#2696C2semidirect
12. C11×#2691C2semidirect
13. C11×#2688C2semidirect
14. C11×#2686C2semidirect
15. C11×#2685C2semidirect
16. C11×#2684C2semidirect
17. C11×#2676C2semidirect
18. C11×#2674C2semidirect
19. C11×#2670C2semidirect
20. C11×#2668C2semidirect
21. C11×#2663C2semidirect
22. C11×#2661C2semidirect
23. C11×#2610C2semidirect
24. C11×#2604C2semidirect
25. C11×#2602C2semidirect
26. C11×#2601C2semidirect
27. C11×#2592C2semidirect
28. C11×#2561C2semidirect
29. C11×#2415C2semidirect
30. C11×#2411C2semidirect
31. C11×#2290C2semidirect
34. C2×C11×C4⋊Q8C22semidirect
38. C2×C11×#126C22semidirect
44. C2×C11×#124C22semidirect
48. C2×C11×#123C22semidirect
51. C2×C11×C22⋊Q8C22semidirect
52. C2×C11×C22⋊Q8C22semidirect
53. C2×C11×C22⋊Q8C22semidirect
62. C2×C4×Q8×C11C22semidirect
66. C2×C11×#117C22semidirect
68. C22×C42×C11C22semidirect
69. C11×#400C22semidirect
70. C11×#400C22semidirect
73. C11×#398C22semidirect
74. C11×#398C22semidirect
81. C11×#397C22semidirect
82. C11×#397C22semidirect
83. C11×#397C22semidirect
84. C11×#397C22semidirect
88. C11×#396C22semidirect
89. C11×#395C22semidirect
90. C11×#395C22semidirect
91. C11×#395C22semidirect
104. C11×#394C22semidirect
110. C11×#393C22semidirect
111. C11×#393C22semidirect
116. C11×#392C22semidirect
117. C11×#391C22semidirect
118. C11×#391C22semidirect
119. C11×#391C22semidirect
120. C11×#391C22semidirect
127. C11×#390C22semidirect
128. C11×#389C22semidirect
129. C11×#389C22semidirect
130. C11×#389C22semidirect
131. C11×#389C22semidirect
132. C11×#389C22semidirect
146. C11×#388C22semidirect
147. C11×#388C22semidirect
148. C11×#388C22semidirect
149. C11×#388C22semidirect
150. C11×#388C22semidirect
151. C11×#388C22semidirect
152. C11×#388C22semidirect
153. C11×#387C22semidirect
154. C11×#387C22semidirect
155. C11×#387C22semidirect
156. C11×#387C22semidirect
157. C11×#387C22semidirect
158. C11×#387C22semidirect
167. C11×#386C22semidirect
168. C11×#386C22semidirect
169. C11×#386C22semidirect
170. C11×#386C22semidirect
171. C11×#386C22semidirect
173. C11×#385C22semidirect
174. C11×#385C22semidirect
175. C11×#385C22semidirect
176. C11×#385C22semidirect
177. C11×#382C22semidirect
180. C11×#380C22semidirect
181. C11×#380C22semidirect
185. C4×C11×C4⋊C4C22semidirect
187. C4×C11×C22⋊C4C22semidirect
188. C11×#376C22semidirect
243. C4×D4×C11D4semidirect
379. #36745C11direct (N × H)
582. C2×#542C2×C11semidirect
583. C2×#538C2×C11semidirect
584. #2854C2×C11semidirect
585. #2850C2×C11semidirect
586. #2723C2×C11semidirect
587. #2716C2×C11semidirect
588. #2715C2×C11semidirect
589. #2712C2×C11semidirect
590. #2700C2×C11semidirect
591. #2698C2×C11semidirect
592. #2696C2×C11semidirect
593. #2691C2×C11semidirect
594. #2688C2×C11semidirect
595. #2686C2×C11semidirect
596. #2685C2×C11semidirect
597. #2684C2×C11semidirect
598. #2676C2×C11semidirect
599. #2674C2×C11semidirect
600. #2670C2×C11semidirect
601. #2668C2×C11semidirect
602. #2663C2×C11semidirect
603. #2661C2×C11semidirect
604. #2610C2×C11semidirect
605. #2604C2×C11semidirect
606. #2602C2×C11semidirect
607. #2601C2×C11semidirect
608. #2592C2×C11semidirect
609. #2561C2×C11semidirect
610. #2415C2×C11semidirect
611. #2411C2×C11semidirect
612. #2290C2×C11semidirect
763. C2×C4⋊Q8C22×C11semidirect
767. C2×#126C22×C11semidirect
773. C2×#124C22×C11semidirect
777. C2×#123C22×C11semidirect
780. C2×C22⋊Q8C22×C11semidirect
781. C2×C22⋊Q8C22×C11semidirect
782. C2×C22⋊Q8C22×C11semidirect
791. C2×C4×Q8C22×C11semidirect
795. C2×#117C22×C11semidirect
797. C22×C42C22×C11semidirect
798. #400C22×C11semidirect
799. #400C22×C11semidirect
802. #398C22×C11semidirect
803. #398C22×C11semidirect
810. #397C22×C11semidirect
811. #397C22×C11semidirect
812. #397C22×C11semidirect
813. #397C22×C11semidirect
817. #396C22×C11semidirect
818. #395C22×C11semidirect
819. #395C22×C11semidirect
820. #395C22×C11semidirect
833. #394C22×C11semidirect
839. #393C22×C11semidirect
840. #393C22×C11semidirect
845. #392C22×C11semidirect
846. #391C22×C11semidirect
847. #391C22×C11semidirect
848. #391C22×C11semidirect
849. #391C22×C11semidirect
856. #390C22×C11semidirect
857. #389C22×C11semidirect
858. #389C22×C11semidirect
859. #389C22×C11semidirect
860. #389C22×C11semidirect
861. #389C22×C11semidirect
875. #388C22×C11semidirect
876. #388C22×C11semidirect
877. #388C22×C11semidirect
878. #388C22×C11semidirect
879. #388C22×C11semidirect
880. #388C22×C11semidirect
881. #388C22×C11semidirect
882. #387C22×C11semidirect
883. #387C22×C11semidirect
884. #387C22×C11semidirect
885. #387C22×C11semidirect
886. #387C22×C11semidirect
887. #387C22×C11semidirect
896. #386C22×C11semidirect
897. #386C22×C11semidirect
898. #386C22×C11semidirect
899. #386C22×C11semidirect
900. #386C22×C11semidirect
902. #385C22×C11semidirect
903. #385C22×C11semidirect
904. #385C22×C11semidirect
905. #385C22×C11semidirect
906. #382C22×C11semidirect
909. #380C22×C11semidirect
910. #380C22×C11semidirect
914. C4×C4⋊C4C22×C11semidirect
916. C4×C22⋊C4C22×C11semidirect
917. #376C22×C11semidirect
1047. C4×D4D4×C11semidirect
1398. C11#36745direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C11×#5422
C2×C11×#5382
C11×#28542
C11×#28502
C11×#27232
C11×#27162
C11×#27152
C11×#27122
C11×#27002
C11×#26982
C11×#26962
C11×#26912
C11×#26882
C11×#26862
C11×#26852
C11×#26842
C11×#26762
C11×#26742
C11×#26702
C11×#26682
C11×#26632
C11×#26612
C11×#26102
C11×#26042
C11×#26022
C11×#26012
C11×#25922
C11×#25612
C11×#24152
C11×#24112
C11×#22902
#3674511