Finite Group Databasebeta

← C11×#36777 #14613970

Subgroups — C11×#36777 #14613970

Order 2816.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2849C211yesmaximal, characteristic, complemented
2C11×#2847C211yesmaximal, characteristic, complemented
3C11×#2780C211yesmaximal, characteristic, complemented
4C11×#2780C211yesmaximal, characteristic, complemented
5C11×#2768C211yesmaximal, characteristic, complemented
6C11×#2761C211yesmaximal, characteristic, complemented
7C11×#2753C211yesmaximal, characteristic, complemented
8C11×#2749C211yesmaximal, characteristic, complemented
9C11×#2748C211yesmaximal, characteristic, complemented
10C11×#2743C211yesmaximal, characteristic, complemented
11C11×#2738C211yesmaximal, characteristic, complemented
12C11×#2711C211yesmaximal, characteristic, complemented
13C11×#2707C211yesmaximal, characteristic, complemented
14C11×#2706C211yesmaximal, characteristic, complemented
15C11×#2701C211yesmaximal, characteristic, complemented
16C11×#2701C211yesmaximal, characteristic, complemented
17C11×#2688C211yesmaximal, characteristic, complemented
18C11×#2671C211yesmaximal, characteristic, complemented
19C11×#2623C211yesmaximal, characteristic, complemented
20C11×#2618C211yesmaximal, characteristic, complemented
21C11×#2539C211yesmaximal, characteristic, complemented
22C11×#2534C211yesmaximal, characteristic, complemented
23C11×#2442C211yesmaximal, characteristic, complemented
24C11×#2425C211yesmaximal, characteristic, complemented
25C11×#2424C211yesmaximal, characteristic, complemented
26C11×#2419C211yesmaximal, characteristic, complemented
27C11×#2418C211yesmaximal, characteristic, complemented
28C11×#2416C211yesmaximal, characteristic, complemented
29C11×#2325C211yesmaximal, characteristic, complemented
30C11×#2318C211yesmaximal, characteristic, complemented
31C2×C11×#385C211yesmaximal, characteristic, complemented
32C24×C4×C11C2211yescharacteristic
33C2×C11×#125C2211yescharacteristic, complemented
34C2×C11×#123C2211yescharacteristic
35C2×C11×#123C2211yescharacteristic
36C2×C11×#123C2211yescharacteristic
37C2×C11×#123C2211yescharacteristic
38C2×C11×#123C2211yescharacteristic
39C2×C11×#123C2211yescharacteristic
40C2×C11×#121C2211yescharacteristic
41C2×C11×#121C2211yescharacteristic
42C2×C11×#121C2211yescharacteristic
43C2×C11×#121C2211yescharacteristic
44C2×C11×#121C2211yescharacteristic
45C2×C11×#121C2211yescharacteristic
46C2×C11×#121C2211yescharacteristic, complemented
47C2×C11×#120C2211yescharacteristic
48C2×C11×#120C2211yescharacteristic
49C2×C11×#120C2211yescharacteristic
50C2×C4×D4×C11C2211yescharacteristic
51C2×C4×D4×C11C2211yescharacteristic
52C2×C4×D4×C11C2211yescharacteristic
53C22×C11×C4⋊C4C2211yescharacteristic
54C22×C11×C4⋊C4C2211yescharacteristic
55C22×C11×C22⋊C4C2211yescharacteristic
56C22×C11×C22⋊C4C2211yescharacteristic
57C11×#400C2211yescharacteristic, complemented
58C11×#400C2211yescharacteristic, complemented
59C11×#400C2211yescharacteristic, complemented
60C11×#400C2211yescharacteristic, complemented
61C11×#400C2211yescharacteristic, complemented
62C11×#399C2211yescharacteristic
63C11×#399C2211yescharacteristic
64C11×#399C2211yescharacteristic
65C11×#399C2211yescharacteristic, complemented
66C11×#399C2211yescharacteristic, complemented
67C11×#398C2211yescharacteristic, complemented
68C11×#398C2211yescharacteristic, complemented
69C11×#398C2211yescharacteristic, complemented
70C11×#398C2211yescharacteristic, complemented
71C11×#398C2211yescharacteristic, complemented
72C11×#398C2211yescharacteristic, complemented
73C11×#398C2211yescharacteristic, complemented
74C11×#398C2211yescharacteristic, complemented
75C11×#397C2211yescharacteristic
76C11×#397C2211yescharacteristic, complemented
77C11×#397C2211yescharacteristic, complemented
78C11×#397C2211yescharacteristic, complemented
79C11×#397C2211yescharacteristic, complemented
80C11×#397C2211yescharacteristic, complemented
81C11×#396C2211yescharacteristic
82C11×#396C2211yescharacteristic
83C11×#396C2211yescharacteristic
84C11×#396C2211yescharacteristic, complemented
85C11×#396C2211yescharacteristic, complemented
86C11×#396C2211yescharacteristic, complemented
87C11×#396C2211yescharacteristic, complemented
88C11×#396C2211yescharacteristic, complemented
89C11×#396C2211yescharacteristic, complemented
90C11×#396C2211yescharacteristic, complemented
91C11×#394C2211yescharacteristic
92C11×#394C2211yescharacteristic
93C11×#394C2211yescharacteristic
94C11×#394C2211yescharacteristic
95C11×#394C2211yescharacteristic
96C11×#394C2211yescharacteristic
97C11×#394C2211yescharacteristic, complemented
98C11×#394C2211yescharacteristic, complemented
99C11×#394C2211yescharacteristic, complemented
100C11×#394C2211yescharacteristic, complemented
101C11×#394C2211yescharacteristic, complemented
102C11×#392C2211yescharacteristic
103C11×#392C2211yescharacteristic
104C11×#392C2211yescharacteristic
105C11×#390C2211yescharacteristic
106C11×#390C2211yescharacteristic
107C11×#390C2211yescharacteristic
108C11×#390C2211yescharacteristic
109C11×#390C2211yescharacteristic
110C11×#390C2211yescharacteristic, complemented
111C11×#389C2211yescharacteristic, complemented
112C11×#389C2211yescharacteristic, complemented
113C11×#389C2211yescharacteristic, complemented
114C11×#389C2211yescharacteristic, complemented
115C11×#388C2211yescharacteristic
116C11×#388C2211yescharacteristic
117C11×#388C2211yescharacteristic
118C11×#388C2211yescharacteristic
119C11×#388C2211yescharacteristic
120C11×#388C2211yescharacteristic, complemented
121C11×#388C2211yescharacteristic, complemented
122C11×#388C2211yescharacteristic, complemented
123C11×#388C2211yescharacteristic, complemented
124C11×#388C2211yescharacteristic, complemented
125C11×#387C2211yescharacteristic, complemented
126C11×#387C2211yescharacteristic, complemented
127C11×#387C2211yescharacteristic, complemented
128C11×#387C2211yescharacteristic, complemented
129C11×#387C2211yescharacteristic, complemented
130C11×#387C2211yescharacteristic, complemented
131C11×#386C2211yescharacteristic
132C11×#386C2211yescharacteristic
133C11×#386C2211yescharacteristic
134C11×#386C2211yescharacteristic
135C11×#386C2211yescharacteristic
136C11×#386C2211yescharacteristic
137C11×#386C2211yescharacteristic
138C11×#386C2211yescharacteristic
139C11×#386C2211yescharacteristic
140C11×#386C2211yescharacteristic
141C11×#386C2211yescharacteristic
142C11×#386C2211yescharacteristic
143C11×#386C2211yescharacteristic
144C11×#386C2211yescharacteristic
145C11×#386C2211yescharacteristic
146C11×#386C2211yescharacteristic
147C11×#386C2211yescharacteristic, complemented
148C11×#386C2211yescharacteristic, complemented
149C11×#386C2211yescharacteristic, complemented
150C11×#385C2211yescharacteristic
151C11×#385C2211yescharacteristic
152C11×#385C2211yescharacteristic
153C11×#385C2211yescharacteristic
154C11×#385C2211yescharacteristic
155C11×#385C2211yescharacteristic
156C11×#385C2211yescharacteristic
157C11×#385C2211yescharacteristic
158C11×#385C2211yescharacteristic
159C11×#385C2211yescharacteristic
160C11×#385C2211yescharacteristic
161C11×#385C2211yescharacteristic
162C11×#385C2211yescharacteristic
163C11×#385C2211yescharacteristic
164C11×#385C2211yescharacteristic, complemented
165C11×#385C2211yescharacteristic, complemented
166C11×#385C2211yescharacteristic, complemented
167C11×#383C2211yescharacteristic, complemented
168C11×#382C2211yescharacteristic, complemented
169C11×#382C2211yescharacteristic, complemented
170C11×#381C2211yescharacteristic
171C11×#381C2211yescharacteristic
172C11×#381C2211yescharacteristic
173C11×#381C2211yescharacteristic, complemented
174C11×#381C2211yescharacteristic, complemented
175C11×#380C2211yescharacteristic
176C11×#380C2211yescharacteristic
177C11×#380C2211yescharacteristic
178C11×#380C2211yescharacteristic
179C11×#380C2211yescharacteristic
180C11×#380C2211yescharacteristic, complemented
181C11×#380C2211yescharacteristic, complemented
182C11×#380C2211yescharacteristic, complemented
183C11×#379C2211yescharacteristic
184C4×C11×C22⋊C4C2211yescharacteristic
185C2×C11×#95C2211yescharacteristic
186C2×C11×#95C2211yescharacteristic
187C25×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C22×D4×C11C2311yescharacteristic
200C23×C4×C11—42no—
201C23×C4×C11—42no—
202C23×C4×C11—42no—
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
212C23×C4×C11C2311yescharacteristic
213C23×C4×C11C2311yescharacteristic
214C23×C4×C11C2311yescharacteristic
215C23×C4×C11C2311yescharacteristic
216C11×#125—42no—
217C11×#123—42no—
218C11×#123—42no—
219C11×#123—42no—
220C11×#123—42no—
221C11×#123—42no—
222C11×#123—42no—
223C11×#121—24no—
224C11×#121—42no—
225C11×#121—42no—
226C11×#121—42no—
227C11×#121—42no—
228C11×#121—42no—
229C11×#121—42no—
230C11×#120—42no—
231C11×#120—42no—
232C11×#120—42no—
233C4×D4×C11—24no—
234C4×D4×C11—42no—
235C4×D4×C11—42no—
236C2×C11×C4⋊C4—42no—
237C2×C11×C4⋊C4—42no—
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C4⋊C4C2311yescharacteristic
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊C4C2311yescharacteristic
248C2×C11×C4⋊C4C2311yescharacteristic
249C2×C11×C4⋊C4C2311yescharacteristic
250C2×C11×C4⋊C4C2311yescharacteristic
251C2×C11×C4⋊C4C2311yescharacteristic
252C2×C11×C4⋊C4C2311yescharacteristic
253C2×C11×C4⋊C4C2311yescharacteristic
254C2×C11×C4⋊C4C2311yescharacteristic
255C2×C11×C4⋊C4C2311yescharacteristic
256C2×C11×C4⋊C4C2311yescharacteristic
257C2×C11×C4⋊C4C2311yescharacteristic
258C2×C11×C4⋊C4C2311yescharacteristic
259C2×C11×C4⋊C4C2311yescharacteristic
260C2×C11×C4⋊C4C2311yescharacteristic
261C2×C11×C4⋊C4C2311yescharacteristic
262C2×C11×C4⋊C4C2311yescharacteristic
263C2×C11×C4⋊C4C2311yescharacteristic
264C2×C11×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×C22⋊C4—24no—
273C2×C11×C22⋊C4—42no—
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×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×C42×C11C2311yescharacteristic
325C2×C42×C11C2311yescharacteristic
326C2×C42×C11C2311yescharacteristic
327C2×C42×C11C2311yescharacteristic
328C2×C42×C11C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11×#95C2311yescharacteristic
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11×#95C2311yescharacteristic
339C11×#95C2311yescharacteristic
340C11×#95C2311yescharacteristic
341C11×#95C2311yescharacteristic
342C11×#95C2311yescharacteristic
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11×#95C2311yescharacteristic
363C11×#95C2311yescharacteristic
364C11×#95C2311yescharacteristic
365C11×#95C2311yescharacteristic
366C11×#95C2311yescharacteristic
367C11×#95C2311yescharacteristic
368C11×#95C2311yescharacteristic
369#36777C1111yesmaximal, characteristic, direct product factor, Sylow
370C24×C11—22no—
371C24×C11—22no—
372C24×C11—22no—
373C24×C11—22no—
374C24×C11—22no—
375C24×C11—41no—
376C24×C11—41no—
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C24×C11C2411yescharacteristic
380C24×C11C2411yescharacteristic
381C24×C11C2411yescharacteristic
382C24×C11C2411yescharacteristic
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—22no—
391C2×D4×C11—22no—
392C2×D4×C11—22no—
393C2×D4×C11—22no—
394C2×D4×C11—22no—
395C2×D4×C11—22no—
396C2×D4×C11—22no—
397C2×D4×C11—22no—
398C2×D4×C11—22no—
399C2×D4×C11—22no—
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—
409C2×D4×C11—41no—
410C2×D4×C11—41no—
411C2×D4×C11—41no—
412C2×D4×C11—41no—
413C2×D4×C11—41no—
414C2×D4×C11—41no—
415C2×D4×C11—41no—
416C2×D4×C11—41no—
417C2×D4×C11—41no—
418C2×D4×C11—41no—
419C22×C4×C11—22no—
420C22×C4×C11—22no—
421C22×C4×C11—22no—
422C22×C4×C11—22no—
423C22×C4×C11—22no—
424C22×C4×C11—22no—
425C22×C4×C11—22no—
426C22×C4×C11—22no—
427C22×C4×C11—22no—
428C22×C4×C11—22no—
429C22×C4×C11—22no—
430C22×C4×C11—22no—
431C22×C4×C11—22no—
432C22×C4×C11—41no—
433C22×C4×C11—41no—
434C22×C4×C11—41no—
435C22×C4×C11—41no—
436C22×C4×C11—41no—
437C22×C4×C11—41no—
438C22×C4×C11—41no—
439C22×C4×C11—41no—
440C22×C4×C11—41no—
441C22×C4×C11—41no—
442C22×C4×C11—41no—
443C22×C4×C11—41no—
444C22×C4×C11—41no—
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—416no—
458C22×C4×C11#4114yes—
459C22×C4×C11C2411yescharacteristic
460C22×C4×C11C2411yescharacteristic
461C22×C4×C11C2411yescharacteristic
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
484C11×C4⋊C4—22no—
485C11×C4⋊C4—22no—
486C11×C4⋊C4—22no—
487C11×C4⋊C4—22no—
488C11×C4⋊C4—22no—
489C11×C4⋊C4—22no—
490C11×C4⋊C4—41no—
491C11×C4⋊C4—41no—
492C11×C4⋊C4—41no—
493C11×C4⋊C4—41no—
494C11×C4⋊C4—41no—
495C11×C4⋊C4—41no—
496C11×C4⋊C4—41no—
497C11×C4⋊C4—41no—
498C11×C4⋊C4—41no—
499C11×C4⋊C4—41no—
500C11×C4⋊C4—41no—
501C11×C4⋊C4—41no—
502C11×C4⋊C4—41no—
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⋊C4—41no—
515C11×C4⋊C4—41no—
516C11×C4⋊C4—41no—
517C11×C4⋊C4—41no—
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—41no—
536C11×C22⋊C4—41no—
537C11×C22⋊C4—41no—
538C11×C22⋊C4—41no—
539C11×C22⋊C4—41no—
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—
568C42×C11—22no—
569C42×C11—41no—
570C42×C11—41no—
571C42×C11—41no—
572C42×C11—41no—
573#2849C2×C1111yescharacteristic, complemented
574#2847C2×C1111yescharacteristic, complemented
575#2780C2×C1111yescharacteristic, complemented
576#2780C2×C1111yescharacteristic, complemented
577#2768C2×C1111yescharacteristic, complemented
578#2761C2×C1111yescharacteristic, complemented
579#2753C2×C1111yescharacteristic, complemented
580#2749C2×C1111yescharacteristic, complemented
581#2748C2×C1111yescharacteristic, complemented
582#2743C2×C1111yescharacteristic, complemented
583#2738C2×C1111yescharacteristic, complemented
584#2711C2×C1111yescharacteristic, complemented
585#2707C2×C1111yescharacteristic, complemented
586#2706C2×C1111yescharacteristic, complemented
587#2701C2×C1111yescharacteristic, complemented
588#2701C2×C1111yescharacteristic, complemented
589#2688C2×C1111yescharacteristic, complemented
590#2671C2×C1111yescharacteristic, complemented
591#2623C2×C1111yescharacteristic, complemented
592#2618C2×C1111yescharacteristic, complemented
593#2539C2×C1111yescharacteristic, complemented
594#2534C2×C1111yescharacteristic, complemented
595#2442C2×C1111yescharacteristic, complemented
596#2425C2×C1111yescharacteristic, complemented
597#2424C2×C1111yescharacteristic, complemented
598#2419C2×C1111yescharacteristic, complemented
599#2418C2×C1111yescharacteristic, complemented
600#2416C2×C1111yescharacteristic, complemented
601#2325C2×C1111yescharacteristic, complemented
602#2318C2×C1111yescharacteristic, complemented
603C2×#385C2×C1111yescharacteristic, complemented
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—28no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
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—44no—
643C23×C11—44no—
644C23×C11—44no—
645C23×C11—44no—
646C23×C11—44no—
647C23×C11—44no—
648C23×C11C2×#4112yes—
649C23×C11H(5,𝔽2)12yes—
650C23×C11H(5,𝔽2)12yes—
651C23×C11H(5,𝔽2)12yes—
652C23×C112−1+412yes—
653C23×C11C2511yescharacteristic
654D4×C11—44no—
655D4×C11—44no—
656D4×C11—44no—
657D4×C11—82no—
658D4×C11—82no—
659D4×C11—82no—
660D4×C11—82no—
661D4×C11—82no—
662D4×C11—82no—
663D4×C11—82no—
664D4×C11—82no—
665D4×C11—82no—
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—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—44no—
739C2×C4×C11—44no—
740C2×C4×C11—44no—
741C2×C4×C11—44no—
742C2×C4×C11—44no—
743C2×C4×C11—44no—
744C2×C4×C11—44no—
745C2×C4×C11—44no—
746C2×C4×C11—82no—
747C2×C4×C11—82no—
748C2×C4×C11—82no—
749C2×C4×C11—82no—
750C2×C4×C11—82no—
751C2×C4×C11C2×#4112yes—
752C2×C4×C11C2×#4112yes—
753C2×C4×C11H(5,𝔽2)12yes—
754C24×C4C22×C1111yescharacteristic
755C2×#125C22×C1111yescharacteristic, complemented
756C2×#123C22×C1111yescharacteristic
757C2×#123C22×C1111yescharacteristic
758C2×#123C22×C1111yescharacteristic
759C2×#123C22×C1111yescharacteristic
760C2×#123C22×C1111yescharacteristic
761C2×#123C22×C1111yescharacteristic
762C2×#121C22×C1111yescharacteristic
763C2×#121C22×C1111yescharacteristic
764C2×#121C22×C1111yescharacteristic
765C2×#121C22×C1111yescharacteristic
766C2×#121C22×C1111yescharacteristic
767C2×#121C22×C1111yescharacteristic
768C2×#121C22×C1111yescharacteristic, complemented
769C2×#120C22×C1111yescharacteristic
770C2×#120C22×C1111yescharacteristic
771C2×#120C22×C1111yescharacteristic
772C2×C4×D4C22×C1111yescharacteristic
773C2×C4×D4C22×C1111yescharacteristic
774C2×C4×D4C22×C1111yescharacteristic
775C22×C4⋊C4C22×C1111yescharacteristic
776C22×C4⋊C4C22×C1111yescharacteristic
777C22×C22⋊C4C22×C1111yescharacteristic
778C22×C22⋊C4C22×C1111yescharacteristic
779#400C22×C1111yescharacteristic, complemented
780#400C22×C1111yescharacteristic, complemented
781#400C22×C1111yescharacteristic, complemented
782#400C22×C1111yescharacteristic, complemented
783#400C22×C1111yescharacteristic, complemented
784#399C22×C1111yescharacteristic
785#399C22×C1111yescharacteristic
786#399C22×C1111yescharacteristic
787#399C22×C1111yescharacteristic, complemented
788#399C22×C1111yescharacteristic, complemented
789#398C22×C1111yescharacteristic, complemented
790#398C22×C1111yescharacteristic, complemented
791#398C22×C1111yescharacteristic, complemented
792#398C22×C1111yescharacteristic, complemented
793#398C22×C1111yescharacteristic, complemented
794#398C22×C1111yescharacteristic, complemented
795#398C22×C1111yescharacteristic, complemented
796#398C22×C1111yescharacteristic, complemented
797#397C22×C1111yescharacteristic
798#397C22×C1111yescharacteristic, complemented
799#397C22×C1111yescharacteristic, complemented
800#397C22×C1111yescharacteristic, complemented
801#397C22×C1111yescharacteristic, complemented
802#397C22×C1111yescharacteristic, complemented
803#396C22×C1111yescharacteristic
804#396C22×C1111yescharacteristic
805#396C22×C1111yescharacteristic
806#396C22×C1111yescharacteristic, complemented
807#396C22×C1111yescharacteristic, complemented
808#396C22×C1111yescharacteristic, complemented
809#396C22×C1111yescharacteristic, complemented
810#396C22×C1111yescharacteristic, complemented
811#396C22×C1111yescharacteristic, complemented
812#396C22×C1111yescharacteristic, complemented
813#394C22×C1111yescharacteristic
814#394C22×C1111yescharacteristic
815#394C22×C1111yescharacteristic
816#394C22×C1111yescharacteristic
817#394C22×C1111yescharacteristic
818#394C22×C1111yescharacteristic
819#394C22×C1111yescharacteristic, complemented
820#394C22×C1111yescharacteristic, complemented
821#394C22×C1111yescharacteristic, complemented
822#394C22×C1111yescharacteristic, complemented
823#394C22×C1111yescharacteristic, complemented
824#392C22×C1111yescharacteristic
825#392C22×C1111yescharacteristic
826#392C22×C1111yescharacteristic
827#390C22×C1111yescharacteristic
828#390C22×C1111yescharacteristic
829#390C22×C1111yescharacteristic
830#390C22×C1111yescharacteristic
831#390C22×C1111yescharacteristic
832#390C22×C1111yescharacteristic, complemented
833#389C22×C1111yescharacteristic, complemented
834#389C22×C1111yescharacteristic, complemented
835#389C22×C1111yescharacteristic, complemented
836#389C22×C1111yescharacteristic, complemented
837#388C22×C1111yescharacteristic
838#388C22×C1111yescharacteristic
839#388C22×C1111yescharacteristic
840#388C22×C1111yescharacteristic
841#388C22×C1111yescharacteristic
842#388C22×C1111yescharacteristic, complemented
843#388C22×C1111yescharacteristic, complemented
844#388C22×C1111yescharacteristic, complemented
845#388C22×C1111yescharacteristic, complemented
846#388C22×C1111yescharacteristic, complemented
847#387C22×C1111yescharacteristic, complemented
848#387C22×C1111yescharacteristic, complemented
849#387C22×C1111yescharacteristic, complemented
850#387C22×C1111yescharacteristic, complemented
851#387C22×C1111yescharacteristic, complemented
852#387C22×C1111yescharacteristic, complemented
853#386C22×C1111yescharacteristic
854#386C22×C1111yescharacteristic
855#386C22×C1111yescharacteristic
856#386C22×C1111yescharacteristic
857#386C22×C1111yescharacteristic
858#386C22×C1111yescharacteristic
859#386C22×C1111yescharacteristic
860#386C22×C1111yescharacteristic
861#386C22×C1111yescharacteristic
862#386C22×C1111yescharacteristic
863#386C22×C1111yescharacteristic
864#386C22×C1111yescharacteristic
865#386C22×C1111yescharacteristic
866#386C22×C1111yescharacteristic
867#386C22×C1111yescharacteristic
868#386C22×C1111yescharacteristic
869#386C22×C1111yescharacteristic, complemented
870#386C22×C1111yescharacteristic, complemented
871#386C22×C1111yescharacteristic, complemented
872#385C22×C1111yescharacteristic
873#385C22×C1111yescharacteristic
874#385C22×C1111yescharacteristic
875#385C22×C1111yescharacteristic
876#385C22×C1111yescharacteristic
877#385C22×C1111yescharacteristic
878#385C22×C1111yescharacteristic
879#385C22×C1111yescharacteristic
880#385C22×C1111yescharacteristic
881#385C22×C1111yescharacteristic
882#385C22×C1111yescharacteristic
883#385C22×C1111yescharacteristic
884#385C22×C1111yescharacteristic
885#385C22×C1111yescharacteristic
886#385C22×C1111yescharacteristic, complemented
887#385C22×C1111yescharacteristic, complemented
888#385C22×C1111yescharacteristic, complemented
889#383C22×C1111yescharacteristic, complemented
890#382C22×C1111yescharacteristic, complemented
891#382C22×C1111yescharacteristic, complemented
892#381C22×C1111yescharacteristic
893#381C22×C1111yescharacteristic
894#381C22×C1111yescharacteristic
895#381C22×C1111yescharacteristic, complemented
896#381C22×C1111yescharacteristic, complemented
897#380C22×C1111yescharacteristic
898#380C22×C1111yescharacteristic
899#380C22×C1111yescharacteristic
900#380C22×C1111yescharacteristic
901#380C22×C1111yescharacteristic
902#380C22×C1111yescharacteristic, complemented
903#380C22×C1111yescharacteristic, complemented
904#380C22×C1111yescharacteristic, complemented
905#379C22×C1111yescharacteristic
906C4×C22⋊C4C22×C1111yescharacteristic
907C2×#95C22×C1111yescharacteristic
908C2×#95C22×C1111yescharacteristic
909C22×C11—22no—
910C22×C11—22no—
911C22×C11—22no—
912C22×C11—22no—
913C22×C11—22no—
914C22×C11—22no—
915C22×C11—22no—
916C22×C11—22no—
917C22×C11—22no—
918C22×C11—22no—
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—416no—
922C22×C11—41no—
923C22×C11—41no—
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#54014yes—
952C22×C11C22×#4111yescharacteristic
953C22×C11C2×H(5,𝔽2)11yescharacteristic
954C22×C11C2×H(5,𝔽2)11yescharacteristic
955C22×C11C2×H(5,𝔽2)11yescharacteristic
956C22×C11C2×H(5,𝔽2)11yescharacteristic
957C22×C11C2×2−1+411yescharacteristic
958C22×C11#58511yescharacteristic
959C4×C11—22no—
960C4×C11—22no—
961C4×C11—22no—
962C4×C11—41no—
963C4×C11—41no—
964C4×C11—41no—
965C4×C11—41no—
966C4×C11—41no—
967C4×C11—41no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
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—
984C25C23×C1111yescharacteristic
985C22×D4C23×C1111yescharacteristic
986C22×D4C23×C1111yescharacteristic
987C22×D4C23×C1111yescharacteristic
988C22×D4C23×C1111yescharacteristic
989C22×D4C23×C1111yescharacteristic
990C22×D4C23×C1111yescharacteristic
991C22×D4C23×C1111yescharacteristic
992C22×D4C23×C1111yescharacteristic
993C22×D4C23×C1111yescharacteristic
994C22×D4C23×C1111yescharacteristic
995C22×D4C23×C1111yescharacteristic
996C22×D4C23×C1111yescharacteristic
997C23×C4—42no—
998C23×C4—42no—
999C23×C4—42no—
1000C23×C4C23×C1111yescharacteristic
1001C23×C4C23×C1111yescharacteristic
1002C23×C4C23×C1111yescharacteristic
1003C23×C4C23×C1111yescharacteristic
1004C23×C4C23×C1111yescharacteristic
1005C23×C4C23×C1111yescharacteristic
1006C23×C4C23×C1111yescharacteristic
1007C23×C4C23×C1111yescharacteristic
1008C23×C4C23×C1111yescharacteristic
1009C23×C4C23×C1111yescharacteristic
1010C23×C4C23×C1111yescharacteristic
1011C23×C4C23×C1111yescharacteristic
1012C23×C4C23×C1111yescharacteristic
1013#125—42no—
1014#123—42no—
1015#123—42no—
1016#123—42no—
1017#123—42no—
1018#123—42no—
1019#123—42no—
1020#121—24no—
1021#121—42no—
1022#121—42no—
1023#121—42no—
1024#121—42no—
1025#121—42no—
1026#121—42no—
1027#120—42no—
1028#120—42no—
1029#120—42no—
1030C4×D4—24no—
1031C4×D4—42no—
1032C4×D4—42no—
1033C2×C4⋊C4—42no—
1034C2×C4⋊C4—42no—
1035C2×C4⋊C4C23×C1111yescharacteristic
1036C2×C4⋊C4C23×C1111yescharacteristic
1037C2×C4⋊C4C23×C1111yescharacteristic
1038C2×C4⋊C4C23×C1111yescharacteristic
1039C2×C4⋊C4C23×C1111yescharacteristic
1040C2×C4⋊C4C23×C1111yescharacteristic
1041C2×C4⋊C4C23×C1111yescharacteristic
1042C2×C4⋊C4C23×C1111yescharacteristic
1043C2×C4⋊C4C23×C1111yescharacteristic
1044C2×C4⋊C4C23×C1111yescharacteristic
1045C2×C4⋊C4C23×C1111yescharacteristic
1046C2×C4⋊C4C23×C1111yescharacteristic
1047C2×C4⋊C4C23×C1111yescharacteristic
1048C2×C4⋊C4C23×C1111yescharacteristic
1049C2×C4⋊C4C23×C1111yescharacteristic
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×C22⋊C4—24no—
1070C2×C22⋊C4—42no—
1071C2×C22⋊C4C23×C1111yescharacteristic
1072C2×C22⋊C4C23×C1111yescharacteristic
1073C2×C22⋊C4C23×C1111yescharacteristic
1074C2×C22⋊C4C23×C1111yescharacteristic
1075C2×C22⋊C4C23×C1111yescharacteristic
1076C2×C22⋊C4C23×C1111yescharacteristic
1077C2×C22⋊C4C23×C1111yescharacteristic
1078C2×C22⋊C4C23×C1111yescharacteristic
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×C42C23×C1111yescharacteristic
1122C2×C42C23×C1111yescharacteristic
1123C2×C42C23×C1111yescharacteristic
1124C2×C42C23×C1111yescharacteristic
1125C2×C42C23×C1111yescharacteristic
1126#95C23×C1111yescharacteristic
1127#95C23×C1111yescharacteristic
1128#95C23×C1111yescharacteristic
1129#95C23×C1111yescharacteristic
1130#95C23×C1111yescharacteristic
1131#95C23×C1111yescharacteristic
1132#95C23×C1111yescharacteristic
1133#95C23×C1111yescharacteristic
1134#95C23×C1111yescharacteristic
1135#95C23×C1111yescharacteristic
1136#95C23×C1111yescharacteristic
1137#95C23×C1111yescharacteristic
1138#95C23×C1111yescharacteristic
1139#95C23×C1111yescharacteristic
1140#95C23×C1111yescharacteristic
1141#95C23×C1111yescharacteristic
1142#95C23×C1111yescharacteristic
1143#95C23×C1111yescharacteristic
1144#95C23×C1111yescharacteristic
1145#95C23×C1111yescharacteristic
1146#95C23×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
1166C2×C11—24no—
1167C2×C11—42no—
1168C2×C11—42no—
1169C2×C11—81no—
1170C2×C11—81no—
1171C2×C11—81no—
1172C2×C11C2×#54011yescharacteristic
1173C2×C11#349211yescharacteristic
1174C2×C11#350511yescharacteristic
1175C2×C11#353211yescharacteristic
1176C2×C11#353411yescharacteristic
1177C2×C11#353511yescharacteristic
1178C2×C11#353611yescharacteristic
1179C24—22no—
1180C24—22no—
1181C24—22no—
1182C24—22no—
1183C24—22no—
1184C24—41no—
1185C24—41no—
1186C24C24×C1111yescharacteristic
1187C24C24×C1111yescharacteristic
1188C24C24×C1111yescharacteristic
1189C24C24×C1111yescharacteristic
1190C24C24×C1111yescharacteristic
1191C24C24×C1111yescharacteristic
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—416no—
1267C22×C4C11×#4114yes—
1268C22×C4C24×C1111yescharacteristic
1269C22×C4C24×C1111yescharacteristic
1270C22×C4C24×C1111yescharacteristic
1271C22×C4C24×C1111yescharacteristic
1272C22×C4C24×C1111yescharacteristic
1273C22×C4C24×C1111yescharacteristic
1274C22×C4C24×C1111yescharacteristic
1275C22×C4C24×C1111yescharacteristic
1276C22×C4C24×C1111yescharacteristic
1277C22×C4C24×C1111yescharacteristic
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
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
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—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
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—
1377C42—22no—
1378C42—41no—
1379C42—41no—
1380C42—41no—
1381C42—41no—
1382C11#3677711yescharacteristic, direct product factor, Sylow
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—28no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
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—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23C2×C11×#4112yes—
1428C23C11×H(5,𝔽2)12yes—
1429C23C11×H(5,𝔽2)12yes—
1430C23C11×H(5,𝔽2)12yes—
1431C23C11×2−1+412yes—
1432C23C25×C1111yescharacteristic
1433D4—44no—
1434D4—44no—
1435D4—44no—
1436D4—82no—
1437D4—82no—
1438D4—82no—
1439D4—82no—
1440D4—82no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
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—44no—
1518C2×C4—44no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—82no—
1526C2×C4—82no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4—82no—
1530C2×C4C2×C11×#4112yes—
1531C2×C4C2×C11×#4112yes—
1532C2×C4C11×H(5,𝔽2)12yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—416no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
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—
1575C22C11×#54014yes—
1576C22C22×C11×#4111yescharacteristic
1577C22C2×C11×H(5,𝔽2)11yescharacteristic
1578C22C2×C11×H(5,𝔽2)11yescharacteristic
1579C22C2×C11×H(5,𝔽2)11yescharacteristic
1580C22C2×C11×H(5,𝔽2)11yescharacteristic
1581C22C2×C11×2−1+411yescharacteristic
1582C22C11×#58511yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C2—24no—
1609C2—42no—
1610C2—42no—
1611C2—81no—
1612C2—81no—
1613C2—81no—
1614C2C2×C11×#54011yescharacteristic
1615C2C11×#349211yescharacteristic
1616C2C11×#350511yescharacteristic
1617C2C11×#353211yescharacteristic
1618C2C11×#353411yescharacteristic
1619C2C11×#353511yescharacteristic
1620C2C11×#353611yescharacteristic
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×#2849C2semidirect
2. C11×#2847C2semidirect
3. C11×#2780C2semidirect
4. C11×#2780C2semidirect
5. C11×#2768C2semidirect
6. C11×#2761C2semidirect
7. C11×#2753C2semidirect
8. C11×#2749C2semidirect
9. C11×#2748C2semidirect
10. C11×#2743C2semidirect
11. C11×#2738C2semidirect
12. C11×#2711C2semidirect
13. C11×#2707C2semidirect
14. C11×#2706C2semidirect
15. C11×#2701C2semidirect
16. C11×#2701C2semidirect
17. C11×#2688C2semidirect
18. C11×#2671C2semidirect
19. C11×#2623C2semidirect
20. C11×#2618C2semidirect
21. C11×#2539C2semidirect
22. C11×#2534C2semidirect
23. C11×#2442C2semidirect
24. C11×#2425C2semidirect
25. C11×#2424C2semidirect
26. C11×#2419C2semidirect
27. C11×#2418C2semidirect
28. C11×#2416C2semidirect
29. C11×#2325C2semidirect
30. C11×#2318C2semidirect
31. C2×C11×#385C2semidirect
33. C2×C11×#125C22semidirect
46. C2×C11×#121C22semidirect
57. C11×#400C22semidirect
58. C11×#400C22semidirect
59. C11×#400C22semidirect
60. C11×#400C22semidirect
61. C11×#400C22semidirect
65. C11×#399C22semidirect
66. C11×#399C22semidirect
67. C11×#398C22semidirect
68. C11×#398C22semidirect
69. C11×#398C22semidirect
70. C11×#398C22semidirect
71. C11×#398C22semidirect
72. C11×#398C22semidirect
73. C11×#398C22semidirect
74. C11×#398C22semidirect
76. C11×#397C22semidirect
77. C11×#397C22semidirect
78. C11×#397C22semidirect
79. C11×#397C22semidirect
80. C11×#397C22semidirect
84. C11×#396C22semidirect
85. C11×#396C22semidirect
86. C11×#396C22semidirect
87. C11×#396C22semidirect
88. C11×#396C22semidirect
89. C11×#396C22semidirect
90. C11×#396C22semidirect
97. C11×#394C22semidirect
98. C11×#394C22semidirect
99. C11×#394C22semidirect
100. C11×#394C22semidirect
101. C11×#394C22semidirect
110. C11×#390C22semidirect
111. C11×#389C22semidirect
112. C11×#389C22semidirect
113. C11×#389C22semidirect
114. C11×#389C22semidirect
120. C11×#388C22semidirect
121. C11×#388C22semidirect
122. C11×#388C22semidirect
123. C11×#388C22semidirect
124. C11×#388C22semidirect
125. C11×#387C22semidirect
126. C11×#387C22semidirect
127. C11×#387C22semidirect
128. C11×#387C22semidirect
129. C11×#387C22semidirect
130. C11×#387C22semidirect
147. C11×#386C22semidirect
148. C11×#386C22semidirect
149. C11×#386C22semidirect
164. C11×#385C22semidirect
165. C11×#385C22semidirect
166. C11×#385C22semidirect
167. C11×#383C22semidirect
168. C11×#382C22semidirect
169. C11×#382C22semidirect
173. C11×#381C22semidirect
174. C11×#381C22semidirect
180. C11×#380C22semidirect
181. C11×#380C22semidirect
182. C11×#380C22semidirect
369. #36777C11direct (N × H)
573. #2849C2×C11semidirect
574. #2847C2×C11semidirect
575. #2780C2×C11semidirect
576. #2780C2×C11semidirect
577. #2768C2×C11semidirect
578. #2761C2×C11semidirect
579. #2753C2×C11semidirect
580. #2749C2×C11semidirect
581. #2748C2×C11semidirect
582. #2743C2×C11semidirect
583. #2738C2×C11semidirect
584. #2711C2×C11semidirect
585. #2707C2×C11semidirect
586. #2706C2×C11semidirect
587. #2701C2×C11semidirect
588. #2701C2×C11semidirect
589. #2688C2×C11semidirect
590. #2671C2×C11semidirect
591. #2623C2×C11semidirect
592. #2618C2×C11semidirect
593. #2539C2×C11semidirect
594. #2534C2×C11semidirect
595. #2442C2×C11semidirect
596. #2425C2×C11semidirect
597. #2424C2×C11semidirect
598. #2419C2×C11semidirect
599. #2418C2×C11semidirect
600. #2416C2×C11semidirect
601. #2325C2×C11semidirect
602. #2318C2×C11semidirect
603. C2×#385C2×C11semidirect
755. C2×#125C22×C11semidirect
768. C2×#121C22×C11semidirect
779. #400C22×C11semidirect
780. #400C22×C11semidirect
781. #400C22×C11semidirect
782. #400C22×C11semidirect
783. #400C22×C11semidirect
787. #399C22×C11semidirect
788. #399C22×C11semidirect
789. #398C22×C11semidirect
790. #398C22×C11semidirect
791. #398C22×C11semidirect
792. #398C22×C11semidirect
793. #398C22×C11semidirect
794. #398C22×C11semidirect
795. #398C22×C11semidirect
796. #398C22×C11semidirect
798. #397C22×C11semidirect
799. #397C22×C11semidirect
800. #397C22×C11semidirect
801. #397C22×C11semidirect
802. #397C22×C11semidirect
806. #396C22×C11semidirect
807. #396C22×C11semidirect
808. #396C22×C11semidirect
809. #396C22×C11semidirect
810. #396C22×C11semidirect
811. #396C22×C11semidirect
812. #396C22×C11semidirect
819. #394C22×C11semidirect
820. #394C22×C11semidirect
821. #394C22×C11semidirect
822. #394C22×C11semidirect
823. #394C22×C11semidirect
832. #390C22×C11semidirect
833. #389C22×C11semidirect
834. #389C22×C11semidirect
835. #389C22×C11semidirect
836. #389C22×C11semidirect
842. #388C22×C11semidirect
843. #388C22×C11semidirect
844. #388C22×C11semidirect
845. #388C22×C11semidirect
846. #388C22×C11semidirect
847. #387C22×C11semidirect
848. #387C22×C11semidirect
849. #387C22×C11semidirect
850. #387C22×C11semidirect
851. #387C22×C11semidirect
852. #387C22×C11semidirect
869. #386C22×C11semidirect
870. #386C22×C11semidirect
871. #386C22×C11semidirect
886. #385C22×C11semidirect
887. #385C22×C11semidirect
888. #385C22×C11semidirect
889. #383C22×C11semidirect
890. #382C22×C11semidirect
891. #382C22×C11semidirect
895. #381C22×C11semidirect
896. #381C22×C11semidirect
902. #380C22×C11semidirect
903. #380C22×C11semidirect
904. #380C22×C11semidirect
1382. C11#36777direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#28492
C11×#28472
C11×#27802
C11×#27682
C11×#27612
C11×#27532
C11×#27492
C11×#27482
C11×#27432
C11×#27382
C11×#27112
C11×#27072
C11×#27062
C11×#27012
C11×#26882
C11×#26712
C11×#26232
C11×#26182
C11×#25392
C11×#25342
C11×#24422
C11×#24252
C11×#24242
C11×#24192
C11×#24182
C11×#24162
C11×#23252
C11×#23182
C2×C11×#3852
#3677711