Finite Group Databasebeta

← C11×#59992 #14637185

Subgroups — C11×#59992 #14637185

Order 2816.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2780C211yesmaximal, characteristic, complemented
2C11×#2778C211yesmaximal, characteristic, complemented
3C11×#2688C211yesmaximal, characteristic, complemented
4C11×#2668C211yesmaximal, characteristic, complemented
5C11×#2609C211yesmaximal, characteristic, complemented
6C11×#2603C211yesmaximal, characteristic, complemented
7C11×#2598C211yesmaximal, characteristic, complemented
8C11×#2597C211yesmaximal, characteristic, complemented
9C11×#2589C211yesmaximal, characteristic, complemented
10C11×#2578C211yesmaximal, characteristic, complemented
11C11×#2576C211yesmaximal, characteristic, complemented
12C11×#2573C211yesmaximal, characteristic, complemented
13C11×#2553C211yesmaximal, characteristic, complemented
14C11×#2527C211yesmaximal, characteristic, complemented
15C11×#2477C211yesmaximal, characteristic, complemented
16C11×#2467C211yesmaximal, characteristic, complemented
17C11×#2456C211yesmaximal, characteristic, complemented
18C11×#2450C211yesmaximal, characteristic, complemented
19C11×#2424C211yesmaximal, characteristic, complemented
20C11×#2411C211yesmaximal, characteristic, complemented
21C11×#2407C211yesmaximal, characteristic, complemented
22C11×#2404C211yesmaximal, characteristic, complemented
23C11×#2364C211yesmaximal, characteristic, complemented
24C11×#2364C211yesmaximal, characteristic, complemented
25C11×#2363C211yesmaximal, characteristic, complemented
26C11×#2358C211yesmaximal, characteristic, complemented
27C11×#2358C211yesmaximal, characteristic, complemented
28C11×#2342C211yesmaximal, characteristic, complemented
29C4×C11×#121C211yesmaximal, characteristic, complemented
30C11×#2297C211yesmaximal, characteristic, complemented
31C11×#2290C211yesmaximal, characteristic, complemented
32C22×C11×#41C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic, complemented
34C2×C11×#123C2211yescharacteristic
35C2×C11×C22⋊Q8C2211yescharacteristic, complemented
36C2×C11×#121C2211yescharacteristic
37C2×C11×#121C2211yescharacteristic
38C2×C11×#121C2211yescharacteristic
39C2×C11×#121C2211yescharacteristic
40C2×C11×#120C2211yescharacteristic
41C2×C11×#120C2211yescharacteristic
42C2×C11×#120C2211yescharacteristic
43C2×C4×D4×C11C2211yescharacteristic
44C2×C4×D4×C11C2211yescharacteristic
45C2×C4×D4×C11C2211yescharacteristic
46C2×C4×D4×C11C2211yescharacteristic
47C2×C4×D4×C11C2211yescharacteristic
48C2×C4×D4×C11C2211yescharacteristic, complemented
49C2×C4×D4×C11C2211yescharacteristic, complemented
50C2×C11×#117C2211yescharacteristic
51C2×C11×#117C2211yescharacteristic
52C2×C11×#117C2211yescharacteristic, complemented
53C22×C11×C22⋊C4C2211yescharacteristic
54C22×C11×C22⋊C4C2211yescharacteristic
55C22×C11×C22⋊C4C2211yescharacteristic
56C22×C42×C11C2211yescharacteristic, complemented
57C11×#401C2211yescharacteristic, complemented
58C11×#400C2211yescharacteristic, complemented
59C11×#400C2211yescharacteristic, complemented
60C11×#400C2211yescharacteristic, complemented
61C11×#400C2211yescharacteristic, complemented
62C11×#399C2211yescharacteristic
63C11×#399C2211yescharacteristic, complemented
64C11×#398C2211yescharacteristic, complemented
65C11×#398C2211yescharacteristic, complemented
66C11×#397C2211yescharacteristic
67C11×#397C2211yescharacteristic
68C11×#397C2211yescharacteristic, complemented
69C11×#397C2211yescharacteristic, complemented
70C11×#397C2211yescharacteristic, complemented
71C11×#396C2211yescharacteristic
72C11×#396C2211yescharacteristic
73C11×#396C2211yescharacteristic
74C11×#396C2211yescharacteristic, complemented
75C11×#394C2211yescharacteristic
76C11×#394C2211yescharacteristic
77C11×#394C2211yescharacteristic
78C11×#394C2211yescharacteristic
79C11×#394C2211yescharacteristic
80C11×#394C2211yescharacteristic
81C11×#394C2211yescharacteristic, complemented
82C11×#393C2211yescharacteristic
83C11×#393C2211yescharacteristic
84C11×#392C2211yescharacteristic
85C11×#392C2211yescharacteristic
86C11×#392C2211yescharacteristic
87C11×#392C2211yescharacteristic
88C11×#392C2211yescharacteristic, complemented
89C11×#391C2211yescharacteristic, complemented
90C11×#391C2211yescharacteristic, complemented
91C11×#391C2211yescharacteristic, complemented
92C11×#390C2211yescharacteristic
93C11×#390C2211yescharacteristic
94C11×#390C2211yescharacteristic
95C11×#390C2211yescharacteristic
96C11×#390C2211yescharacteristic
97C11×#390C2211yescharacteristic, complemented
98C11×#389C2211yescharacteristic, complemented
99C11×#389C2211yescharacteristic, complemented
100C11×#388C2211yescharacteristic
101C11×#388C2211yescharacteristic
102C11×#388C2211yescharacteristic
103C11×#388C2211yescharacteristic
104C11×#388C2211yescharacteristic
105C11×#388C2211yescharacteristic
106C11×#388C2211yescharacteristic
107C11×#388C2211yescharacteristic
108C11×#388C2211yescharacteristic
109C11×#388C2211yescharacteristic
110C11×#388C2211yescharacteristic
111C11×#388C2211yescharacteristic, complemented
112C11×#388C2211yescharacteristic, complemented
113C11×#388C2211yescharacteristic, complemented
114C11×#388C2211yescharacteristic, complemented
115C11×#388C2211yescharacteristic, complemented
116C11×#388C2211yescharacteristic, complemented
117C11×#387C2211yescharacteristic, complemented
118C11×#387C2211yescharacteristic, complemented
119C11×#387C2211yescharacteristic, complemented
120C11×#387C2211yescharacteristic, complemented
121C11×#387C2211yescharacteristic, complemented
122C11×#387C2211yescharacteristic, complemented
123C11×#387C2211yescharacteristic, complemented
124C11×#387C2211yescharacteristic, complemented
125C11×#387C2211yescharacteristic, complemented
126C11×#387C2211yescharacteristic, complemented
127C11×#386C2211yescharacteristic
128C11×#386C2211yescharacteristic
129C11×#386C2211yescharacteristic
130C11×#386C2211yescharacteristic
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, complemented
147C11×#386C2211yescharacteristic, complemented
148C11×#386C2211yescharacteristic, complemented
149C11×#386C2211yescharacteristic, complemented
150C11×#386C2211yescharacteristic, complemented
151C11×#385C2211yescharacteristic
152C11×#385C2211yescharacteristic
153C11×#385C2211yescharacteristic
154C11×#385C2211yescharacteristic
155C11×#385C2211yescharacteristic
156C11×#385C2211yescharacteristic
157C11×#385C2211yescharacteristic
158C11×#385C2211yescharacteristic
159C11×#385C2211yescharacteristic, complemented
160C11×#385C2211yescharacteristic, complemented
161C11×#385C2211yescharacteristic, complemented
162C11×#385C2211yescharacteristic, complemented
163C11×#383C2211yescharacteristic, complemented
164C11×#382C2211yescharacteristic, complemented
165C11×#381C2211yescharacteristic
166C11×#381C2211yescharacteristic
167C11×#380C2211yescharacteristic
168C11×#380C2211yescharacteristic, complemented
169C11×#380C2211yescharacteristic, complemented
170C11×#379C2211yescharacteristic
171C4×C11×C4⋊C4C2211yescharacteristic, complemented
172C4×C11×C4⋊C4C2211yescharacteristic, complemented
173C4×C11×C22⋊C4C2211yescharacteristic
174C4×C11×C22⋊C4C2211yescharacteristic
175C4×C11×C22⋊C4C2211yescharacteristic
176C4×C11×C22⋊C4C2211yescharacteristic
177C4×C11×C22⋊C4C2211yescharacteristic
178C4×C11×C22⋊C4C2211yescharacteristic
179C4×C11×C22⋊C4C2211yescharacteristic
180C4×C11×C22⋊C4C2211yescharacteristic, complemented
181C4×C11×C22⋊C4C2211yescharacteristic, complemented
182C4×C11×C22⋊C4C2211yescharacteristic, complemented
183C4×C11×C22⋊C4C2211yescharacteristic, complemented
184C4×C11×C22⋊C4C2211yescharacteristic, complemented
185C11×#376C2211yescharacteristic, complemented
186C2×C11×#95C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C2×C11×#41—24no—
189C2×C11×#41—42no—
190C2×C11×#41—42no—
191C22×Q8×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
200C22×D4×C11C2311yescharacteristic
201C22×D4×C11C2311yescharacteristic
202C22×D4×C11C2311yescharacteristic
203C22×D4×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
216C23×C4×C11C2311yescharacteristic
217C11×#126—42no—
218C11×#123—42no—
219C11×C22⋊Q8—42no—
220C11×#121—24no—
221C11×#121—24no—
222C11×#121—24no—
223C11×#121—24no—
224C11×#120—24no—
225C11×#120—24no—
226C11×#120—42no—
227C4×D4×C11—24no—
228C4×D4×C11—42no—
229C4×D4×C11—42no—
230C4×D4×C11—42no—
231C4×D4×C11—42no—
232C4×D4×C11—42no—
233C4×D4×C11—42no—
234C11×#117—42no—
235C11×#117—42no—
236C11×#117—42no—
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C4⋊C4C2311yescharacteristic
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊C4C2311yescharacteristic
248C2×C11×C4⋊C4C2311yescharacteristic
249C2×C11×C4⋊C4C2311yescharacteristic
250C2×C11×C4⋊C4C2311yescharacteristic
251C2×C11×C4⋊C4C2311yescharacteristic
252C2×C11×C4⋊C4C2311yescharacteristic
253C2×C11×C4⋊C4C2311yescharacteristic
254C2×C11×C4⋊C4C2311yescharacteristic
255C2×C11×C4⋊C4C2311yescharacteristic
256C2×C11×C4⋊C4C2311yescharacteristic
257C2×C11×C4⋊C4C2311yescharacteristic
258C2×C11×C4⋊C4C2311yescharacteristic
259C2×C11×C4⋊C4C2311yescharacteristic
260C2×C11×C22⋊C4—24no—
261C2×C11×C22⋊C4—42no—
262C2×C11×C22⋊C4—42no—
263C2×C11×C22⋊C4C2311yescharacteristic
264C2×C11×C22⋊C4C2311yescharacteristic
265C2×C11×C22⋊C4C2311yescharacteristic
266C2×C11×C22⋊C4C2311yescharacteristic
267C2×C11×C22⋊C4C2311yescharacteristic
268C2×C11×C22⋊C4C2311yescharacteristic
269C2×C11×C22⋊C4C2311yescharacteristic
270C2×C11×C22⋊C4C2311yescharacteristic
271C2×C11×C22⋊C4C2311yescharacteristic
272C2×C11×C22⋊C4C2311yescharacteristic
273C2×C11×C22⋊C4C2311yescharacteristic
274C2×C11×C22⋊C4C2311yescharacteristic
275C2×C11×C22⋊C4C2311yescharacteristic
276C2×C11×C22⋊C4C2311yescharacteristic
277C2×C11×C22⋊C4C2311yescharacteristic
278C2×C11×C22⋊C4C2311yescharacteristic
279C2×C11×C22⋊C4C2311yescharacteristic
280C2×C11×C22⋊C4C2311yescharacteristic
281C2×C11×C22⋊C4C2311yescharacteristic
282C2×C11×C22⋊C4C2311yescharacteristic
283C2×C11×C22⋊C4C2311yescharacteristic
284C2×C11×C22⋊C4C2311yescharacteristic
285C2×C11×C22⋊C4C2311yescharacteristic
286C2×C11×C22⋊C4C2311yescharacteristic
287C2×C11×C22⋊C4C2311yescharacteristic
288C2×C11×C22⋊C4C2311yescharacteristic
289C2×C11×C22⋊C4C2311yescharacteristic
290C2×C11×C22⋊C4C2311yescharacteristic
291C2×C11×C22⋊C4C2311yescharacteristic
292C2×C11×C22⋊C4C2311yescharacteristic
293C2×C11×C22⋊C4C2311yescharacteristic
294C2×C11×C22⋊C4C2311yescharacteristic
295C2×C11×C22⋊C4C2311yescharacteristic
296C2×C11×C22⋊C4C2311yescharacteristic
297C2×C11×C22⋊C4C2311yescharacteristic
298C2×C11×C22⋊C4C2311yescharacteristic
299C2×C11×C22⋊C4C2311yescharacteristic
300C2×C11×C22⋊C4C2311yescharacteristic
301C2×C11×C22⋊C4C2311yescharacteristic
302C2×C11×C22⋊C4C2311yescharacteristic
303C2×C11×C22⋊C4C2311yescharacteristic
304C2×C11×C22⋊C4C2311yescharacteristic
305C2×C11×C22⋊C4C2311yescharacteristic
306C2×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×C42×C11—42no—
314C2×C42×C11C2311yescharacteristic
315C2×C42×C11C2311yescharacteristic
316C2×C42×C11C2311yescharacteristic
317C2×C42×C11C2311yescharacteristic
318C2×C42×C11C2311yescharacteristic
319C2×C42×C11C2311yescharacteristic
320C2×C42×C11C2311yescharacteristic
321C2×C42×C11C2311yescharacteristic
322C2×C42×C11C2311yescharacteristic
323C2×C42×C11C2311yescharacteristic
324C2×C42×C11C2311yescharacteristic
325C2×C42×C11C2311yescharacteristic
326C2×C42×C11C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11×#95C2311yescharacteristic
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11×#95C2311yescharacteristic
339C11×#95C2311yescharacteristic
340C11×#95C2311yescharacteristic
341C11×#95C2311yescharacteristic
342C11×#95C2311yescharacteristic
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11×#95C2311yescharacteristic
363C11×#95C2311yescharacteristic
364C11×#95C2311yescharacteristic
365C11×#95C2311yescharacteristic
366C11×#95C2311yescharacteristic
367C11×#95C2311yescharacteristic
368C11×#95C2311yescharacteristic
369#59992C1111yesmaximal, characteristic, direct product factor, Sylow
370C24×C11—22no—
371C24×C11—22no—
372C24×C11—22no—
373C24×C11—41no—
374C24×C11—41no—
375C24×C11—41no—
376C24×C11—41no—
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C24×C11C2411yescharacteristic
380C24×C11C2411yescharacteristic
381C24×C11C2411yescharacteristic
382C24×C11C2411yescharacteristic
383C11×#41—416no—
384C2×Q8×C11—22no—
385C2×Q8×C11—22no—
386C2×Q8×C11—41no—
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—22no—
401C2×D4×C11—22no—
402C2×D4×C11—22no—
403C2×D4×C11—22no—
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—
419C2×D4×C11—41no—
420C2×D4×C11—41no—
421C2×D4×C11#4114yes—
422C2×D4×C11#4114yescomplemented
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—22no—
433C22×C4×C11—22no—
434C22×C4×C11—22no—
435C22×C4×C11—22no—
436C22×C4×C11—22no—
437C22×C4×C11—22no—
438C22×C4×C11—22no—
439C22×C4×C11—22no—
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—41no—
458C22×C4×C11—41no—
459C22×C4×C11—41no—
460C22×C4×C11—41no—
461C22×C4×C11—41no—
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—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×C22⋊C4—22no—
511C11×C22⋊C4—22no—
512C11×C22⋊C4—22no—
513C11×C22⋊C4—22no—
514C11×C22⋊C4—22no—
515C11×C22⋊C4—22no—
516C11×C22⋊C4—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—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#4114yescomplemented
560C42×C11—22no—
561C42×C11—22no—
562C42×C11—22no—
563C42×C11—22no—
564C42×C11—22no—
565C42×C11—22no—
566C42×C11—41no—
567C42×C11—41no—
568C42×C11—41no—
569C42×C11—41no—
570C42×C11—41no—
571C42×C11—41no—
572C42×C11—41no—
573#2780C2×C1111yescharacteristic, complemented
574#2778C2×C1111yescharacteristic, complemented
575#2688C2×C1111yescharacteristic, complemented
576#2668C2×C1111yescharacteristic, complemented
577#2609C2×C1111yescharacteristic, complemented
578#2603C2×C1111yescharacteristic, complemented
579#2598C2×C1111yescharacteristic, complemented
580#2597C2×C1111yescharacteristic, complemented
581#2589C2×C1111yescharacteristic, complemented
582#2578C2×C1111yescharacteristic, complemented
583#2576C2×C1111yescharacteristic, complemented
584#2573C2×C1111yescharacteristic, complemented
585#2553C2×C1111yescharacteristic, complemented
586#2527C2×C1111yescharacteristic, complemented
587#2477C2×C1111yescharacteristic, complemented
588#2467C2×C1111yescharacteristic, complemented
589#2456C2×C1111yescharacteristic, complemented
590#2450C2×C1111yescharacteristic, complemented
591#2424C2×C1111yescharacteristic, complemented
592#2411C2×C1111yescharacteristic, complemented
593#2407C2×C1111yescharacteristic, complemented
594#2404C2×C1111yescharacteristic, complemented
595#2364C2×C1111yescharacteristic, complemented
596#2364C2×C1111yescharacteristic, complemented
597#2363C2×C1111yescharacteristic, complemented
598#2358C2×C1111yescharacteristic, complemented
599#2358C2×C1111yescharacteristic, complemented
600#2342C2×C1111yescharacteristic, complemented
601C4×#121C2×C1111yescharacteristic, complemented
602#2297C2×C1111yescharacteristic, complemented
603#2290C2×C1111yescharacteristic, complemented
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×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—44no—
642C23×C11—44no—
643C23×C11—44no—
644C23×C11—82no—
645C23×C11—82no—
646C23×C11—82no—
647C23×C11—82no—
648C23×C11C2×#4112yes—
649C23×C11C2×#4112yes—
650C23×C11C2×#4112yes—
651C23×C11C2×#4112yes—
652C23×C11C2×#4112yes—
653C23×C11C2511yescharacteristic
654Q8×C11—44no—
655D4×C11—44no—
656D4×C11—44no—
657D4×C11—44no—
658D4×C11—44no—
659D4×C11—44no—
660D4×C11—44no—
661D4×C11—44no—
662D4×C11—44no—
663D4×C11—44no—
664D4×C11—44no—
665D4×C11—82no—
666D4×C11—82no—
667C2×C4×C11—28no—
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—44no—
737C2×C4×C11—44no—
738C2×C4×C11—44no—
739C2×C4×C11—44no—
740C2×C4×C11—44no—
741C2×C4×C11—44no—
742C2×C4×C11—82no—
743C2×C4×C11—82no—
744C2×C4×C11—82no—
745C2×C4×C11—82no—
746C2×C4×C11—82no—
747C2×C4×C11—82no—
748C2×C4×C11C2×#4112yes—
749C2×C4×C11C2×#4112yes—
750C2×C4×C11C2×#4112yes—
751C2×C4×C11C2×#4112yes—
752C2×C4×C11H(5,𝔽2)12yes—
753C2×C4×C11H(5,𝔽2)12yes—
754C2×C4×C11H(5,𝔽2)12yes—
755C22×#41C22×C1111yescharacteristic
756C2×#126C22×C1111yescharacteristic, complemented
757C2×#123C22×C1111yescharacteristic
758C2×C22⋊Q8C22×C1111yescharacteristic, complemented
759C2×#121C22×C1111yescharacteristic
760C2×#121C22×C1111yescharacteristic
761C2×#121C22×C1111yescharacteristic
762C2×#121C22×C1111yescharacteristic
763C2×#120C22×C1111yescharacteristic
764C2×#120C22×C1111yescharacteristic
765C2×#120C22×C1111yescharacteristic
766C2×C4×D4C22×C1111yescharacteristic
767C2×C4×D4C22×C1111yescharacteristic
768C2×C4×D4C22×C1111yescharacteristic
769C2×C4×D4C22×C1111yescharacteristic
770C2×C4×D4C22×C1111yescharacteristic
771C2×C4×D4C22×C1111yescharacteristic, complemented
772C2×C4×D4C22×C1111yescharacteristic, complemented
773C2×#117C22×C1111yescharacteristic
774C2×#117C22×C1111yescharacteristic
775C2×#117C22×C1111yescharacteristic, complemented
776C22×C22⋊C4C22×C1111yescharacteristic
777C22×C22⋊C4C22×C1111yescharacteristic
778C22×C22⋊C4C22×C1111yescharacteristic
779C22×C42C22×C1111yescharacteristic, complemented
780#401C22×C1111yescharacteristic, complemented
781#400C22×C1111yescharacteristic, complemented
782#400C22×C1111yescharacteristic, complemented
783#400C22×C1111yescharacteristic, complemented
784#400C22×C1111yescharacteristic, complemented
785#399C22×C1111yescharacteristic
786#399C22×C1111yescharacteristic, complemented
787#398C22×C1111yescharacteristic, complemented
788#398C22×C1111yescharacteristic, complemented
789#397C22×C1111yescharacteristic
790#397C22×C1111yescharacteristic
791#397C22×C1111yescharacteristic, complemented
792#397C22×C1111yescharacteristic, complemented
793#397C22×C1111yescharacteristic, complemented
794#396C22×C1111yescharacteristic
795#396C22×C1111yescharacteristic
796#396C22×C1111yescharacteristic
797#396C22×C1111yescharacteristic, complemented
798#394C22×C1111yescharacteristic
799#394C22×C1111yescharacteristic
800#394C22×C1111yescharacteristic
801#394C22×C1111yescharacteristic
802#394C22×C1111yescharacteristic
803#394C22×C1111yescharacteristic
804#394C22×C1111yescharacteristic, complemented
805#393C22×C1111yescharacteristic
806#393C22×C1111yescharacteristic
807#392C22×C1111yescharacteristic
808#392C22×C1111yescharacteristic
809#392C22×C1111yescharacteristic
810#392C22×C1111yescharacteristic
811#392C22×C1111yescharacteristic, complemented
812#391C22×C1111yescharacteristic, complemented
813#391C22×C1111yescharacteristic, complemented
814#391C22×C1111yescharacteristic, complemented
815#390C22×C1111yescharacteristic
816#390C22×C1111yescharacteristic
817#390C22×C1111yescharacteristic
818#390C22×C1111yescharacteristic
819#390C22×C1111yescharacteristic
820#390C22×C1111yescharacteristic, complemented
821#389C22×C1111yescharacteristic, complemented
822#389C22×C1111yescharacteristic, complemented
823#388C22×C1111yescharacteristic
824#388C22×C1111yescharacteristic
825#388C22×C1111yescharacteristic
826#388C22×C1111yescharacteristic
827#388C22×C1111yescharacteristic
828#388C22×C1111yescharacteristic
829#388C22×C1111yescharacteristic
830#388C22×C1111yescharacteristic
831#388C22×C1111yescharacteristic
832#388C22×C1111yescharacteristic
833#388C22×C1111yescharacteristic
834#388C22×C1111yescharacteristic, complemented
835#388C22×C1111yescharacteristic, complemented
836#388C22×C1111yescharacteristic, complemented
837#388C22×C1111yescharacteristic, complemented
838#388C22×C1111yescharacteristic, complemented
839#388C22×C1111yescharacteristic, complemented
840#387C22×C1111yescharacteristic, complemented
841#387C22×C1111yescharacteristic, complemented
842#387C22×C1111yescharacteristic, complemented
843#387C22×C1111yescharacteristic, complemented
844#387C22×C1111yescharacteristic, complemented
845#387C22×C1111yescharacteristic, complemented
846#387C22×C1111yescharacteristic, complemented
847#387C22×C1111yescharacteristic, complemented
848#387C22×C1111yescharacteristic, complemented
849#387C22×C1111yescharacteristic, complemented
850#386C22×C1111yescharacteristic
851#386C22×C1111yescharacteristic
852#386C22×C1111yescharacteristic
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#386C22×C1111yescharacteristic, complemented
873#386C22×C1111yescharacteristic, complemented
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, complemented
883#385C22×C1111yescharacteristic, complemented
884#385C22×C1111yescharacteristic, complemented
885#385C22×C1111yescharacteristic, complemented
886#383C22×C1111yescharacteristic, complemented
887#382C22×C1111yescharacteristic, complemented
888#381C22×C1111yescharacteristic
889#381C22×C1111yescharacteristic
890#380C22×C1111yescharacteristic
891#380C22×C1111yescharacteristic, complemented
892#380C22×C1111yescharacteristic, complemented
893#379C22×C1111yescharacteristic
894C4×C4⋊C4C22×C1111yescharacteristic, complemented
895C4×C4⋊C4C22×C1111yescharacteristic, complemented
896C4×C22⋊C4C22×C1111yescharacteristic
897C4×C22⋊C4C22×C1111yescharacteristic
898C4×C22⋊C4C22×C1111yescharacteristic
899C4×C22⋊C4C22×C1111yescharacteristic
900C4×C22⋊C4C22×C1111yescharacteristic
901C4×C22⋊C4C22×C1111yescharacteristic
902C4×C22⋊C4C22×C1111yescharacteristic
903C4×C22⋊C4C22×C1111yescharacteristic, complemented
904C4×C22⋊C4C22×C1111yescharacteristic, complemented
905C4×C22⋊C4C22×C1111yescharacteristic, complemented
906C4×C22⋊C4C22×C1111yescharacteristic, complemented
907C4×C22⋊C4C22×C1111yescharacteristic, complemented
908#376C22×C1111yescharacteristic, complemented
909C2×#95C22×C1111yescharacteristic, complemented
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—22no—
922C22×C11—22no—
923C22×C11—22no—
924C22×C11—22no—
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—88no—
953C22×C11C22×#4111yescharacteristic
954C22×C11C22×#4111yescharacteristic
955C22×C11C22×#4111yescharacteristic
956C22×C11C2×H(5,𝔽2)11yescharacteristic
957C22×C11C2×H(5,𝔽2)11yescharacteristic
958C22×C11C2×H(5,𝔽2)11yescharacteristic
959C22×C11#58511yescharacteristic
960C4×C11—22no—
961C4×C11—22no—
962C4×C11—22no—
963C4×C11—22no—
964C4×C11—22no—
965C4×C11—22no—
966C4×C11—22no—
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—
984C4×C11—41no—
985C25C23×C1111yescharacteristic
986C2×#41—24no—
987C2×#41—42no—
988C2×#41—42no—
989C22×Q8C23×C1111yescharacteristic
990C22×D4C23×C1111yescharacteristic
991C22×D4C23×C1111yescharacteristic
992C22×D4C23×C1111yescharacteristic
993C22×D4C23×C1111yescharacteristic
994C22×D4C23×C1111yescharacteristic
995C22×D4C23×C1111yescharacteristic
996C22×D4C23×C1111yescharacteristic
997C22×D4C23×C1111yescharacteristic
998C22×D4C23×C1111yescharacteristic
999C22×D4C23×C1111yescharacteristic
1000C22×D4C23×C1111yescharacteristic
1001C22×D4C23×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
1013C23×C4C23×C1111yescharacteristic
1014C23×C4C23×C1111yescharacteristic
1015#126—42no—
1016#123—42no—
1017C22⋊Q8—42no—
1018#121—24no—
1019#121—24no—
1020#121—24no—
1021#121—24no—
1022#120—24no—
1023#120—24no—
1024#120—42no—
1025C4×D4—24no—
1026C4×D4—42no—
1027C4×D4—42no—
1028C4×D4—42no—
1029C4×D4—42no—
1030C4×D4—42no—
1031C4×D4—42no—
1032#117—42no—
1033#117—42no—
1034#117—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×C22⋊C4—24no—
1059C2×C22⋊C4—42no—
1060C2×C22⋊C4—42no—
1061C2×C22⋊C4C23×C1111yescharacteristic
1062C2×C22⋊C4C23×C1111yescharacteristic
1063C2×C22⋊C4C23×C1111yescharacteristic
1064C2×C22⋊C4C23×C1111yescharacteristic
1065C2×C22⋊C4C23×C1111yescharacteristic
1066C2×C22⋊C4C23×C1111yescharacteristic
1067C2×C22⋊C4C23×C1111yescharacteristic
1068C2×C22⋊C4C23×C1111yescharacteristic
1069C2×C22⋊C4C23×C1111yescharacteristic
1070C2×C22⋊C4C23×C1111yescharacteristic
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×C42—42no—
1112C2×C42C23×C1111yescharacteristic
1113C2×C42C23×C1111yescharacteristic
1114C2×C42C23×C1111yescharacteristic
1115C2×C42C23×C1111yescharacteristic
1116C2×C42C23×C1111yescharacteristic
1117C2×C42C23×C1111yescharacteristic
1118C2×C42C23×C1111yescharacteristic
1119C2×C42C23×C1111yescharacteristic
1120C2×C42C23×C1111yescharacteristic
1121C2×C42C23×C1111yescharacteristic
1122C2×C42C23×C1111yescharacteristic
1123C2×C42C23×C1111yescharacteristic
1124C2×C42C23×C1111yescharacteristic
1125#95C23×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
1166#95C23×C1111yescharacteristic
1167C2×C11—42no—
1168C2×C11—42no—
1169C2×C11—42no—
1170C2×C11—42no—
1171C2×C11—42no—
1172C2×C11—81no—
1173C2×C11#347511yescharacteristic
1174C2×C11#348111yescharacteristic
1175C2×C11#348111yescharacteristic
1176C2×C11#349011yescharacteristic
1177C2×C11#350511yescharacteristic
1178C2×C11#351911yescharacteristic
1179C2×C11#354611yescharacteristic
1180C24—22no—
1181C24—22no—
1182C24—22no—
1183C24—41no—
1184C24—41no—
1185C24—41no—
1186C24—41no—
1187C24C24×C1111yescharacteristic
1188C24C24×C1111yescharacteristic
1189C24C24×C1111yescharacteristic
1190C24C24×C1111yescharacteristic
1191C24C24×C1111yescharacteristic
1192C24C24×C1111yescharacteristic
1193#41—416no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—41no—
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—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
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—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4C11×#4114yes—
1232C2×D4C11×#4114yescomplemented
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—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—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—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
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
1293C22×C4C24×C1111yescharacteristic
1294C22×C4C24×C1111yescharacteristic
1295C22×C4C24×C1111yescharacteristic
1296C22×C4C24×C1111yescharacteristic
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
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—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
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—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
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⋊C4C11×#4114yescomplemented
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—41no—
1377C42—41no—
1378C42—41no—
1379C42—41no—
1380C42—41no—
1381C42—41no—
1382C42—41no—
1383C11#5999211yescharacteristic, direct product factor, Sylow
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
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—82no—
1425C23—82no—
1426C23—82no—
1427C23—82no—
1428C23C2×C11×#4112yes—
1429C23C2×C11×#4112yes—
1430C23C2×C11×#4112yes—
1431C23C2×C11×#4112yes—
1432C23C2×C11×#4112yes—
1433C23C25×C1111yescharacteristic
1434Q8—44no—
1435D4—44no—
1436D4—44no—
1437D4—44no—
1438D4—44no—
1439D4—44no—
1440D4—44no—
1441D4—44no—
1442D4—44no—
1443D4—44no—
1444D4—44no—
1445D4—82no—
1446D4—82no—
1447C2×C4—28no—
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—44no—
1517C2×C4—44no—
1518C2×C4—44no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—82no—
1523C2×C4—82no—
1524C2×C4—82no—
1525C2×C4—82no—
1526C2×C4—82no—
1527C2×C4—82no—
1528C2×C4C2×C11×#4112yes—
1529C2×C4C2×C11×#4112yes—
1530C2×C4C2×C11×#4112yes—
1531C2×C4C2×C11×#4112yes—
1532C2×C4C11×H(5,𝔽2)12yes—
1533C2×C4C11×H(5,𝔽2)12yes—
1534C2×C4C11×H(5,𝔽2)12yes—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
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—
1575C22—41no—
1576C22—41no—
1577C22—88no—
1578C22C22×C11×#4111yescharacteristic
1579C22C22×C11×#4111yescharacteristic
1580C22C22×C11×#4111yescharacteristic
1581C22C2×C11×H(5,𝔽2)11yescharacteristic
1582C22C2×C11×H(5,𝔽2)11yescharacteristic
1583C22C2×C11×H(5,𝔽2)11yescharacteristic
1584C22C11×#58511yescharacteristic
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—22no—
1591C4—22no—
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—
1608C4—41no—
1609C4—41no—
1610C2—42no—
1611C2—42no—
1612C2—42no—
1613C2—42no—
1614C2—42no—
1615C2—81no—
1616C2C11×#347511yescharacteristic
1617C2C11×#348111yescharacteristic
1618C2C11×#348111yescharacteristic
1619C2C11×#349011yescharacteristic
1620C2C11×#350511yescharacteristic
1621C2C11×#351911yescharacteristic
1622C2C11×#354611yescharacteristic
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×#2780C2semidirect
2. C11×#2778C2semidirect
3. C11×#2688C2semidirect
4. C11×#2668C2semidirect
5. C11×#2609C2semidirect
6. C11×#2603C2semidirect
7. C11×#2598C2semidirect
8. C11×#2597C2semidirect
9. C11×#2589C2semidirect
10. C11×#2578C2semidirect
11. C11×#2576C2semidirect
12. C11×#2573C2semidirect
13. C11×#2553C2semidirect
14. C11×#2527C2semidirect
15. C11×#2477C2semidirect
16. C11×#2467C2semidirect
17. C11×#2456C2semidirect
18. C11×#2450C2semidirect
19. C11×#2424C2semidirect
20. C11×#2411C2semidirect
21. C11×#2407C2semidirect
22. C11×#2404C2semidirect
23. C11×#2364C2semidirect
24. C11×#2364C2semidirect
25. C11×#2363C2semidirect
26. C11×#2358C2semidirect
27. C11×#2358C2semidirect
28. C11×#2342C2semidirect
29. C4×C11×#121C2semidirect
30. C11×#2297C2semidirect
31. C11×#2290C2semidirect
33. C2×C11×#126C22semidirect
35. C2×C11×C22⋊Q8C22semidirect
48. C2×C4×D4×C11C22semidirect
49. C2×C4×D4×C11C22semidirect
52. C2×C11×#117C22semidirect
56. C22×C42×C11C22semidirect
57. C11×#401C22semidirect
58. C11×#400C22semidirect
59. C11×#400C22semidirect
60. C11×#400C22semidirect
61. C11×#400C22semidirect
63. C11×#399C22semidirect
64. C11×#398C22semidirect
65. C11×#398C22semidirect
68. C11×#397C22semidirect
69. C11×#397C22semidirect
70. C11×#397C22semidirect
74. C11×#396C22semidirect
81. C11×#394C22semidirect
88. C11×#392C22semidirect
89. C11×#391C22semidirect
90. C11×#391C22semidirect
91. C11×#391C22semidirect
97. C11×#390C22semidirect
98. C11×#389C22semidirect
99. C11×#389C22semidirect
111. C11×#388C22semidirect
112. C11×#388C22semidirect
113. C11×#388C22semidirect
114. C11×#388C22semidirect
115. C11×#388C22semidirect
116. C11×#388C22semidirect
117. C11×#387C22semidirect
118. C11×#387C22semidirect
119. C11×#387C22semidirect
120. C11×#387C22semidirect
121. C11×#387C22semidirect
122. C11×#387C22semidirect
123. C11×#387C22semidirect
124. C11×#387C22semidirect
125. C11×#387C22semidirect
126. C11×#387C22semidirect
146. C11×#386C22semidirect
147. C11×#386C22semidirect
148. C11×#386C22semidirect
149. C11×#386C22semidirect
150. C11×#386C22semidirect
159. C11×#385C22semidirect
160. C11×#385C22semidirect
161. C11×#385C22semidirect
162. C11×#385C22semidirect
163. C11×#383C22semidirect
164. C11×#382C22semidirect
168. C11×#380C22semidirect
169. C11×#380C22semidirect
171. C4×C11×C4⋊C4C22semidirect
172. C4×C11×C4⋊C4C22semidirect
180. C4×C11×C22⋊C4C22semidirect
181. C4×C11×C22⋊C4C22semidirect
182. C4×C11×C22⋊C4C22semidirect
183. C4×C11×C22⋊C4C22semidirect
184. C4×C11×C22⋊C4C22semidirect
185. C11×#376C22semidirect
186. C2×C11×#95C22semidirect
369. #59992C11direct (N × H)
422. C2×D4×C11#41semidirect
559. C11×C22⋊C4#41semidirect
573. #2780C2×C11semidirect
574. #2778C2×C11semidirect
575. #2688C2×C11semidirect
576. #2668C2×C11semidirect
577. #2609C2×C11semidirect
578. #2603C2×C11semidirect
579. #2598C2×C11semidirect
580. #2597C2×C11semidirect
581. #2589C2×C11semidirect
582. #2578C2×C11semidirect
583. #2576C2×C11semidirect
584. #2573C2×C11semidirect
585. #2553C2×C11semidirect
586. #2527C2×C11semidirect
587. #2477C2×C11semidirect
588. #2467C2×C11semidirect
589. #2456C2×C11semidirect
590. #2450C2×C11semidirect
591. #2424C2×C11semidirect
592. #2411C2×C11semidirect
593. #2407C2×C11semidirect
594. #2404C2×C11semidirect
595. #2364C2×C11semidirect
596. #2364C2×C11semidirect
597. #2363C2×C11semidirect
598. #2358C2×C11semidirect
599. #2358C2×C11semidirect
600. #2342C2×C11semidirect
601. C4×#121C2×C11semidirect
602. #2297C2×C11semidirect
603. #2290C2×C11semidirect
756. C2×#126C22×C11semidirect
758. C2×C22⋊Q8C22×C11semidirect
771. C2×C4×D4C22×C11semidirect
772. C2×C4×D4C22×C11semidirect
775. C2×#117C22×C11semidirect
779. C22×C42C22×C11semidirect
780. #401C22×C11semidirect
781. #400C22×C11semidirect
782. #400C22×C11semidirect
783. #400C22×C11semidirect
784. #400C22×C11semidirect
786. #399C22×C11semidirect
787. #398C22×C11semidirect
788. #398C22×C11semidirect
791. #397C22×C11semidirect
792. #397C22×C11semidirect
793. #397C22×C11semidirect
797. #396C22×C11semidirect
804. #394C22×C11semidirect
811. #392C22×C11semidirect
812. #391C22×C11semidirect
813. #391C22×C11semidirect
814. #391C22×C11semidirect
820. #390C22×C11semidirect
821. #389C22×C11semidirect
822. #389C22×C11semidirect
834. #388C22×C11semidirect
835. #388C22×C11semidirect
836. #388C22×C11semidirect
837. #388C22×C11semidirect
838. #388C22×C11semidirect
839. #388C22×C11semidirect
840. #387C22×C11semidirect
841. #387C22×C11semidirect
842. #387C22×C11semidirect
843. #387C22×C11semidirect
844. #387C22×C11semidirect
845. #387C22×C11semidirect
846. #387C22×C11semidirect
847. #387C22×C11semidirect
848. #387C22×C11semidirect
849. #387C22×C11semidirect
869. #386C22×C11semidirect
870. #386C22×C11semidirect
871. #386C22×C11semidirect
872. #386C22×C11semidirect
873. #386C22×C11semidirect
882. #385C22×C11semidirect
883. #385C22×C11semidirect
884. #385C22×C11semidirect
885. #385C22×C11semidirect
886. #383C22×C11semidirect
887. #382C22×C11semidirect
891. #380C22×C11semidirect
892. #380C22×C11semidirect
894. C4×C4⋊C4C22×C11semidirect
895. C4×C4⋊C4C22×C11semidirect
903. C4×C22⋊C4C22×C11semidirect
904. C4×C22⋊C4C22×C11semidirect
905. C4×C22⋊C4C22×C11semidirect
906. C4×C22⋊C4C22×C11semidirect
907. C4×C22⋊C4C22×C11semidirect
908. #376C22×C11semidirect
909. C2×#95C22×C11semidirect
1232. C2×D4C11×#41semidirect
1369. C22⋊C4C11×#41semidirect
1383. C11#59992direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#27802
C11×#27782
C11×#26882
C11×#26682
C11×#26092
C11×#26032
C11×#25982
C11×#25972
C11×#25892
C11×#25782
C11×#25762
C11×#25732
C11×#25532
C11×#25272
C11×#24772
C11×#24672
C11×#24562
C11×#24502
C11×#24242
C11×#24112
C11×#24072
C11×#24042
C11×#23642
C11×#23632
C11×#23582
C11×#23422
C4×C11×#1212
C11×#22972
C11×#22902
#5999211