Finite Group Databasebeta

← C11×#34959 #14612152

Subgroups — C11×#34959 #14612152

Order 2816.

2296 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2597C211yesmaximal, characteristic, complemented
2C11×#2595C211yesmaximal, characteristic, complemented
3C11×#2589C211yesmaximal, characteristic, complemented
4C11×#2587C211yesmaximal, characteristic, complemented
5C11×#2578C211yesmaximal, characteristic, complemented
6C11×#2576C211yesmaximal, characteristic, complemented
7C11×#2559C211yesmaximal, characteristic, complemented
8C11×#2557C211yesmaximal, characteristic, complemented
9C11×#2510C211yesmaximal, characteristic, complemented
10C11×#2505C211yesmaximal, characteristic, complemented
11C11×#2480C211yesmaximal, characteristic, complemented
12C11×#2472C211yesmaximal, characteristic, complemented
13C11×#2450C211yesmaximal, characteristic, complemented
14C11×#2444C211yesmaximal, characteristic, complemented
15C11×#2424C211yesmaximal, characteristic
16C11×#2418C211yesmaximal, characteristic, complemented
17C11×#2401C211yesmaximal, characteristic, complemented
18C11×#2398C211yesmaximal, characteristic, complemented
19C11×#2395C211yesmaximal, characteristic, complemented
20C11×#2392C211yesmaximal, characteristic, complemented
21C4×C11×#126C211yesmaximal, characteristic, complemented
22C4×C11×#124C211yesmaximal, characteristic, complemented
23C4×C11×C22⋊Q8C211yesmaximal, characteristic, complemented
24C4×C11×#123C211yesmaximal, characteristic, complemented
25C4×C11×#121C211yesmaximal, characteristic, complemented
26C4×C11×#121C211yesmaximal, characteristic, complemented
27C4×C11×#120C211yesmaximal, characteristic, complemented
28C4×C11×#120C211yesmaximal, characteristic, complemented
29C11×#2290C211yesmaximal, characteristic, complemented
30C42×D4×C11C211yesmaximal, characteristic, complemented
31C2×C4×C11×C22⋊C4C211yesmaximal, characteristic, complemented
32C24×C4×C11C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic
34C2×C11×#124C2211yescharacteristic
35C2×C11×#123C2211yescharacteristic
36C2×C11×C22⋊Q8C2211yescharacteristic
37C2×C11×#121C2211yescharacteristic
38C2×C11×#121C2211yescharacteristic
39C2×C11×#120C2211yescharacteristic
40C2×C11×#120C2211yescharacteristic
41C2×C4×Q8×C11C2211yescharacteristic, complemented
42C2×C4×D4×C11C2211yescharacteristic
43C2×C4×D4×C11C2211yescharacteristic
44C2×C4×D4×C11C2211yescharacteristic
45C2×C4×D4×C11C2211yescharacteristic
46C2×C4×D4×C11C2211yescharacteristic
47C2×C4×D4×C11C2211yescharacteristic
48C2×C4×D4×C11C2211yescharacteristic
49C2×C4×D4×C11C2211yescharacteristic
50C2×C4×D4×C11C2211yescharacteristic, complemented
51C2×C11×#117C2211yescharacteristic, complemented
52C22×C11×C22⋊C4C2211yescharacteristic
53C22×C11×C22⋊C4C2211yescharacteristic
54C22×C42×C11C2211yescharacteristic
55C22×C42×C11C2211yescharacteristic
56C22×C42×C11C2211yescharacteristic, complemented
57C11×#401C2211yescharacteristic, complemented
58C11×#400C2211yescharacteristic, complemented
59C11×#400C2211yescharacteristic, complemented
60C11×#400C2211yescharacteristic, complemented
61C11×#400C2211yescharacteristic, complemented
62C11×#400C2211yescharacteristic, complemented
63C11×#400C2211yescharacteristic, complemented
64C11×#399C2211yescharacteristic
65C11×#398C2211yescharacteristic, complemented
66C11×#398C2211yescharacteristic, complemented
67C11×#397C2211yescharacteristic
68C11×#397C2211yescharacteristic
69C11×#397C2211yescharacteristic
70C11×#397C2211yescharacteristic
71C11×#397C2211yescharacteristic
72C11×#397C2211yescharacteristic, complemented
73C11×#397C2211yescharacteristic, complemented
74C11×#397C2211yescharacteristic, complemented
75C11×#397C2211yescharacteristic, complemented
76C11×#396C2211yescharacteristic
77C11×#396C2211yescharacteristic
78C11×#396C2211yescharacteristic, complemented
79C11×#394C2211yescharacteristic
80C11×#394C2211yescharacteristic
81C11×#394C2211yescharacteristic
82C11×#394C2211yescharacteristic
83C11×#394C2211yescharacteristic
84C11×#394C2211yescharacteristic
85C11×#394C2211yescharacteristic, complemented
86C11×#393C2211yescharacteristic
87C11×#393C2211yescharacteristic, complemented
88C11×#392C2211yescharacteristic
89C11×#391C2211yescharacteristic, complemented
90C11×#391C2211yescharacteristic, complemented
91C11×#390C2211yescharacteristic
92C11×#390C2211yescharacteristic
93C11×#390C2211yescharacteristic, complemented
94C11×#389C2211yescharacteristic, complemented
95C11×#389C2211yescharacteristic, complemented
96C11×#389C2211yescharacteristic, complemented
97C11×#388C2211yescharacteristic
98C11×#388C2211yescharacteristic
99C11×#388C2211yescharacteristic
100C11×#388C2211yescharacteristic
101C11×#388C2211yescharacteristic
102C11×#388C2211yescharacteristic
103C11×#388C2211yescharacteristic
104C11×#388C2211yescharacteristic
105C11×#388C2211yescharacteristic, complemented
106C11×#388C2211yescharacteristic, complemented
107C11×#388C2211yescharacteristic, complemented
108C11×#388C2211yescharacteristic, complemented
109C11×#388C2211yescharacteristic, complemented
110C11×#388C2211yescharacteristic, complemented
111C11×#388C2211yescharacteristic, complemented
112C11×#387C2211yescharacteristic, complemented
113C11×#387C2211yescharacteristic, complemented
114C11×#387C2211yescharacteristic, complemented
115C11×#387C2211yescharacteristic, complemented
116C11×#387C2211yescharacteristic, complemented
117C11×#387C2211yescharacteristic, complemented
118C11×#387C2211yescharacteristic, complemented
119C11×#387C2211yescharacteristic, complemented
120C11×#387C2211yescharacteristic, complemented
121C11×#386C2211yescharacteristic
122C11×#386C2211yescharacteristic
123C11×#386C2211yescharacteristic
124C11×#386C2211yescharacteristic
125C11×#386C2211yescharacteristic
126C11×#386C2211yescharacteristic
127C11×#386C2211yescharacteristic
128C11×#386C2211yescharacteristic
129C11×#386C2211yescharacteristic
130C11×#386C2211yescharacteristic
131C11×#386C2211yescharacteristic
132C11×#386C2211yescharacteristic
133C11×#386C2211yescharacteristic, complemented
134C11×#385C2211yescharacteristic
135C11×#385C2211yescharacteristic
136C11×#385C2211yescharacteristic
137C11×#385C2211yescharacteristic
138C11×#385C2211yescharacteristic
139C11×#385C2211yescharacteristic
140C11×#385C2211yescharacteristic
141C11×#385C2211yescharacteristic
142C11×#385C2211yescharacteristic
143C11×#385C2211yescharacteristic
144C11×#385C2211yescharacteristic, complemented
145C11×#383C2211yescharacteristic, complemented
146C11×#382C2211yescharacteristic, complemented
147C11×#381C2211yescharacteristic, complemented
148C11×#380C2211yescharacteristic
149C11×#380C2211yescharacteristic
150C11×#380C2211yescharacteristic, complemented
151C11×#379C2211yescharacteristic
152C11×#379C2211yescharacteristic
153C4×C11×C4⋊C4C2211yescharacteristic, complemented
154C4×C11×C4⋊C4C2211yescharacteristic, complemented
155C4×C11×C4⋊C4C2211yescharacteristic, complemented
156C4×C11×C4⋊C4C2211yescharacteristic, complemented
157C4×C11×C4⋊C4C2211yescharacteristic, complemented
158C4×C11×C4⋊C4C2211yescharacteristic, complemented
159C4×C11×C4⋊C4C2211yescharacteristic, complemented
160C4×C11×C4⋊C4C2211yescharacteristic, complemented
161C4×C11×C22⋊C4C2211yescharacteristic
162C4×C11×C22⋊C4C2211yescharacteristic
163C4×C11×C22⋊C4C2211yescharacteristic
164C4×C11×C22⋊C4C2211yescharacteristic
165C4×C11×C22⋊C4C2211yescharacteristic
166C4×C11×C22⋊C4C2211yescharacteristic
167C4×C11×C22⋊C4C2211yescharacteristic
168C4×C11×C22⋊C4C2211yescharacteristic
169C4×C11×C22⋊C4C2211yescharacteristic
170C4×C11×C22⋊C4C2211yescharacteristic
171C4×C11×C22⋊C4C2211yescharacteristic
172C4×C11×C22⋊C4C2211yescharacteristic
173C4×C11×C22⋊C4C2211yescharacteristic
174C4×C11×C22⋊C4C2211yescharacteristic
175C4×C11×C22⋊C4C2211yescharacteristic
176C4×C11×C22⋊C4C2211yescharacteristic
177C4×C11×C22⋊C4C2211yescharacteristic, complemented
178C4×C11×C22⋊C4C2211yescharacteristic, complemented
179C4×C11×C22⋊C4C2211yescharacteristic, complemented
180C4×C11×C22⋊C4C2211yescharacteristic, complemented
181C4×C11×C22⋊C4C2211yescharacteristic, complemented
182C4×C11×C22⋊C4C2211yescharacteristic, complemented
183C11×#376C2211yescharacteristic, complemented
184C2×C11×#95C2211yescharacteristic
185C2×C11×#95C2211yescharacteristic
186C43×C11C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C23×C4×C11—24no—
197C23×C4×C11—42no—
198C23×C4×C11—42no—
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C23×C4×C11C2311yescharacteristic
204C23×C4×C11C2311yescharacteristic
205C23×C4×C11C2311yescharacteristic
206C23×C4×C11C2311yescharacteristic
207C23×C4×C11C2311yescharacteristic
208C23×C4×C11C2311yescharacteristic
209C23×C4×C11C2311yescharacteristic
210C23×C4×C11C2311yescharacteristic
211C23×C4×C11C2311yescharacteristic
212C23×C4×C11C2311yescharacteristic
213C11×#126—24no—
214C11×#124—24no—
215C11×#123—24no—
216C11×C22⋊Q8—24no—
217C11×#121—24no—
218C11×#121—24no—
219C11×#120—24no—
220C11×#120—24no—
221C4×Q8×C11—42no—
222C4×D4×C11—24no—
223C4×D4×C11—24no—
224C4×D4×C11—24no—
225C4×D4×C11—24no—
226C4×D4×C11—42no—
227C4×D4×C11—42no—
228C4×D4×C11—42no—
229C4×D4×C11—42no—
230C4×D4×C11—42no—
231C11×#117—42no—
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C4⋊C4C2311yescharacteristic
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊C4C2311yescharacteristic
248C2×C11×C4⋊C4C2311yescharacteristic
249C2×C11×C4⋊C4C2311yescharacteristic
250C2×C11×C4⋊C4C2311yescharacteristic
251C2×C11×C4⋊C4C2311yescharacteristic
252C2×C11×C4⋊C4C2311yescharacteristic
253C2×C11×C4⋊C4C2311yescharacteristic
254C2×C11×C4⋊C4C2311yescharacteristic
255C2×C11×C4⋊C4C2311yescharacteristic
256C2×C11×C22⋊C4—24no—
257C2×C11×C22⋊C4—24no—
258C2×C11×C22⋊C4C2311yescharacteristic
259C2×C11×C22⋊C4C2311yescharacteristic
260C2×C11×C22⋊C4C2311yescharacteristic
261C2×C11×C22⋊C4C2311yescharacteristic
262C2×C11×C22⋊C4C2311yescharacteristic
263C2×C11×C22⋊C4C2311yescharacteristic
264C2×C11×C22⋊C4C2311yescharacteristic
265C2×C11×C22⋊C4C2311yescharacteristic
266C2×C11×C22⋊C4C2311yescharacteristic
267C2×C11×C22⋊C4C2311yescharacteristic
268C2×C11×C22⋊C4C2311yescharacteristic
269C2×C11×C22⋊C4C2311yescharacteristic
270C2×C11×C22⋊C4C2311yescharacteristic
271C2×C11×C22⋊C4C2311yescharacteristic
272C2×C11×C22⋊C4C2311yescharacteristic
273C2×C11×C22⋊C4C2311yescharacteristic
274C2×C11×C22⋊C4C2311yescharacteristic
275C2×C11×C22⋊C4C2311yescharacteristic
276C2×C11×C22⋊C4C2311yescharacteristic
277C2×C11×C22⋊C4C2311yescharacteristic
278C2×C11×C22⋊C4C2311yescharacteristic
279C2×C11×C22⋊C4C2311yescharacteristic
280C2×C11×C22⋊C4C2311yescharacteristic
281C2×C11×C22⋊C4C2311yescharacteristic
282C2×C11×C22⋊C4C2311yescharacteristic
283C2×C11×C22⋊C4C2311yescharacteristic
284C2×C11×C22⋊C4C2311yescharacteristic
285C2×C11×C22⋊C4C2311yescharacteristic
286C2×C11×C22⋊C4C2311yescharacteristic
287C2×C11×C22⋊C4C2311yescharacteristic
288C2×C11×C22⋊C4C2311yescharacteristic
289C2×C11×C22⋊C4C2311yescharacteristic
290C2×C11×C22⋊C4C2311yescharacteristic
291C2×C11×C22⋊C4C2311yescharacteristic
292C2×C11×C22⋊C4C2311yescharacteristic
293C2×C11×C22⋊C4C2311yescharacteristic
294C2×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×C42×C11—42no—
303C2×C42×C11—42no—
304C2×C42×C11—42no—
305C2×C42×C11C2311yescharacteristic
306C2×C42×C11C2311yescharacteristic
307C2×C42×C11C2311yescharacteristic
308C2×C42×C11C2311yescharacteristic
309C2×C42×C11C2311yescharacteristic
310C2×C42×C11C2311yescharacteristic
311C2×C42×C11C2311yescharacteristic
312C2×C42×C11C2311yescharacteristic
313C2×C42×C11C2311yescharacteristic
314C2×C42×C11C2311yescharacteristic
315C2×C42×C11C2311yescharacteristic
316C2×C42×C11C2311yescharacteristic
317C2×C42×C11C2311yescharacteristic
318C2×C42×C11C2311yescharacteristic
319C2×C42×C11C2311yescharacteristic
320C2×C42×C11C2311yescharacteristic
321C2×C42×C11C2311yescharacteristic
322C2×C42×C11C2311yescharacteristic
323C2×C42×C11C2311yescharacteristic
324C2×C42×C11C2311yescharacteristic
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11×#95C2311yescharacteristic
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11×#95C2311yescharacteristic
339C11×#95C2311yescharacteristic
340C11×#95C2311yescharacteristic
341C11×#95C2311yescharacteristic
342C11×#95C2311yescharacteristic
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11×#95C2311yescharacteristic
363C11×#95C2311yescharacteristic
364C11×#95C2311yescharacteristic
365C11×#95C2311yescharacteristic
366C11×#95C2311yescharacteristic
367C11×#95C2311yescharacteristic
368C11×#95C2311yescharacteristic
369#34959C1111yesmaximal, 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
382C2×Q8×C11—22no—
383C2×Q8×C11—22no—
384C2×Q8×C11—41no—
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#4114yes—
406C22×C4×C11—22no—
407C22×C4×C11—22no—
408C22×C4×C11—22no—
409C22×C4×C11—22no—
410C22×C4×C11—22no—
411C22×C4×C11—22no—
412C22×C4×C11—22no—
413C22×C4×C11—22no—
414C22×C4×C11—22no—
415C22×C4×C11—22no—
416C22×C4×C11—22no—
417C22×C4×C11—22no—
418C22×C4×C11—22no—
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—22no—
433C22×C4×C11—22no—
434C22×C4×C11—22no—
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—416no—
448C22×C4×C11#4114yes—
449C22×C4×C11C2411yescharacteristic
450C22×C4×C11C2411yescharacteristic
451C22×C4×C11C2411yescharacteristic
452C22×C4×C11C2411yescharacteristic
453C22×C4×C11C2411yescharacteristic
454C22×C4×C11C2411yescharacteristic
455C22×C4×C11C2411yescharacteristic
456C22×C4×C11C2411yescharacteristic
457C22×C4×C11C2411yescharacteristic
458C22×C4×C11C2411yescharacteristic
459C22×C4×C11C2411yescharacteristic
460C22×C4×C11C2411yescharacteristic
461C22×C4×C11C2411yescharacteristic
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
475C11×C4⋊C4—22no—
476C11×C4⋊C4—22no—
477C11×C4⋊C4—22no—
478C11×C4⋊C4—22no—
479C11×C4⋊C4—22no—
480C11×C4⋊C4—22no—
481C11×C4⋊C4—22no—
482C11×C4⋊C4—22no—
483C11×C4⋊C4—22no—
484C11×C4⋊C4—22no—
485C11×C4⋊C4—22no—
486C11×C4⋊C4—22no—
487C11×C4⋊C4—22no—
488C11×C4⋊C4—22no—
489C11×C4⋊C4—41no—
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×C22⋊C4—22no—
500C11×C22⋊C4—22no—
501C11×C22⋊C4—22no—
502C11×C22⋊C4—22no—
503C11×C22⋊C4—22no—
504C11×C22⋊C4—22no—
505C11×C22⋊C4—22no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4—22no—
508C11×C22⋊C4—22no—
509C11×C22⋊C4—22no—
510C11×C22⋊C4—22no—
511C11×C22⋊C4—22no—
512C11×C22⋊C4—22no—
513C11×C22⋊C4—22no—
514C11×C22⋊C4—22no—
515C11×C22⋊C4—22no—
516C11×C22⋊C4—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—41no—
529C11×C22⋊C4—41no—
530C11×C22⋊C4—41no—
531C11×C22⋊C4—41no—
532C11×C22⋊C4—41no—
533C11×C22⋊C4—41no—
534C11×C22⋊C4—41no—
535C11×C22⋊C4—41no—
536C11×C22⋊C4—41no—
537C11×C22⋊C4—41no—
538C11×C22⋊C4—41no—
539C11×C22⋊C4—41no—
540C11×C22⋊C4#4114yes—
541C11×C22⋊C4#4114yes—
542C11×C22⋊C4#4114yes—
543C42×C11—22no—
544C42×C11—22no—
545C42×C11—22no—
546C42×C11—22no—
547C42×C11—22no—
548C42×C11—22no—
549C42×C11—22no—
550C42×C11—22no—
551C42×C11—22no—
552C42×C11—22no—
553C42×C11—22no—
554C42×C11—22no—
555C42×C11—22no—
556C42×C11—22no—
557C42×C11—41no—
558C42×C11—41no—
559C42×C11—41no—
560C42×C11—41no—
561C42×C11—41no—
562C42×C11—41no—
563#2597C2×C1111yescharacteristic, complemented
564#2595C2×C1111yescharacteristic, complemented
565#2589C2×C1111yescharacteristic, complemented
566#2587C2×C1111yescharacteristic, complemented
567#2578C2×C1111yescharacteristic, complemented
568#2576C2×C1111yescharacteristic, complemented
569#2559C2×C1111yescharacteristic, complemented
570#2557C2×C1111yescharacteristic, complemented
571#2510C2×C1111yescharacteristic, complemented
572#2505C2×C1111yescharacteristic, complemented
573#2480C2×C1111yescharacteristic, complemented
574#2472C2×C1111yescharacteristic, complemented
575#2450C2×C1111yescharacteristic, complemented
576#2444C2×C1111yescharacteristic, complemented
577#2424C2×C1111yescharacteristic
578#2418C2×C1111yescharacteristic, complemented
579#2401C2×C1111yescharacteristic, complemented
580#2398C2×C1111yescharacteristic, complemented
581#2395C2×C1111yescharacteristic, complemented
582#2392C2×C1111yescharacteristic, complemented
583C4×#126C2×C1111yescharacteristic, complemented
584C4×#124C2×C1111yescharacteristic, complemented
585C4×C22⋊Q8C2×C1111yescharacteristic, complemented
586C4×#123C2×C1111yescharacteristic, complemented
587C4×#121C2×C1111yescharacteristic, complemented
588C4×#121C2×C1111yescharacteristic, complemented
589C4×#120C2×C1111yescharacteristic, complemented
590C4×#120C2×C1111yescharacteristic, complemented
591#2290C2×C1111yescharacteristic, complemented
592C42×D4C2×C1111yescharacteristic, complemented
593C2×C4×C22⋊C4C2×C1111yescharacteristic, complemented
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—28no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×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—44no—
625C23×C11—44no—
626C23×C11—44no—
627C23×C11—44no—
628C23×C11—44no—
629C23×C11—44no—
630C23×C11C2×#4112yes—
631C23×C11C2×#4112yes—
632C23×C11C2×#4112yes—
633C23×C11C2×#4112yes—
634C23×C11C2×#4112yes—
635C23×C11C2×#4112yes—
636C23×C11C2511yescharacteristic
637Q8×C11—44no—
638D4×C11—28no—
639D4×C11—44no—
640D4×C11—44no—
641D4×C11—44no—
642D4×C11—44no—
643D4×C11—44no—
644D4×C11—44no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—28no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—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—44no—
714C2×C4×C11—44no—
715C2×C4×C11—44no—
716C2×C4×C11—44no—
717C2×C4×C11—44no—
718C2×C4×C11—44no—
719C2×C4×C11—44no—
720C2×C4×C11—44no—
721C2×C4×C11—44no—
722C2×C4×C11—44no—
723C2×C4×C11—44no—
724C2×C4×C11—44no—
725C2×C4×C11—44no—
726C2×C4×C11C2×#4112yes—
727C2×C4×C11C2×#4112yes—
728C2×C4×C11C2×#4112yes—
729C2×C4×C11C2×#4112yes—
730C2×C4×C11C2×#4112yes—
731C2×C4×C11C2×#4112yes—
732C2×C4×C11C2×#4112yes—
733C2×C4×C11C2×#4112yes—
734C2×C4×C11C2×#4112yes—
735C2×C4×C11H(5,𝔽2)12yes—
736C2×C4×C11H(5,𝔽2)12yes—
737C24×C4C22×C1111yescharacteristic
738C2×#126C22×C1111yescharacteristic
739C2×#124C22×C1111yescharacteristic
740C2×#123C22×C1111yescharacteristic
741C2×C22⋊Q8C22×C1111yescharacteristic
742C2×#121C22×C1111yescharacteristic
743C2×#121C22×C1111yescharacteristic
744C2×#120C22×C1111yescharacteristic
745C2×#120C22×C1111yescharacteristic
746C2×C4×Q8C22×C1111yescharacteristic, complemented
747C2×C4×D4C22×C1111yescharacteristic
748C2×C4×D4C22×C1111yescharacteristic
749C2×C4×D4C22×C1111yescharacteristic
750C2×C4×D4C22×C1111yescharacteristic
751C2×C4×D4C22×C1111yescharacteristic
752C2×C4×D4C22×C1111yescharacteristic
753C2×C4×D4C22×C1111yescharacteristic
754C2×C4×D4C22×C1111yescharacteristic
755C2×C4×D4C22×C1111yescharacteristic, complemented
756C2×#117C22×C1111yescharacteristic, complemented
757C22×C22⋊C4C22×C1111yescharacteristic
758C22×C22⋊C4C22×C1111yescharacteristic
759C22×C42C22×C1111yescharacteristic
760C22×C42C22×C1111yescharacteristic
761C22×C42C22×C1111yescharacteristic, complemented
762#401C22×C1111yescharacteristic, complemented
763#400C22×C1111yescharacteristic, complemented
764#400C22×C1111yescharacteristic, complemented
765#400C22×C1111yescharacteristic, complemented
766#400C22×C1111yescharacteristic, complemented
767#400C22×C1111yescharacteristic, complemented
768#400C22×C1111yescharacteristic, complemented
769#399C22×C1111yescharacteristic
770#398C22×C1111yescharacteristic, complemented
771#398C22×C1111yescharacteristic, complemented
772#397C22×C1111yescharacteristic
773#397C22×C1111yescharacteristic
774#397C22×C1111yescharacteristic
775#397C22×C1111yescharacteristic
776#397C22×C1111yescharacteristic
777#397C22×C1111yescharacteristic, complemented
778#397C22×C1111yescharacteristic, complemented
779#397C22×C1111yescharacteristic, complemented
780#397C22×C1111yescharacteristic, complemented
781#396C22×C1111yescharacteristic
782#396C22×C1111yescharacteristic
783#396C22×C1111yescharacteristic, complemented
784#394C22×C1111yescharacteristic
785#394C22×C1111yescharacteristic
786#394C22×C1111yescharacteristic
787#394C22×C1111yescharacteristic
788#394C22×C1111yescharacteristic
789#394C22×C1111yescharacteristic
790#394C22×C1111yescharacteristic, complemented
791#393C22×C1111yescharacteristic
792#393C22×C1111yescharacteristic, complemented
793#392C22×C1111yescharacteristic
794#391C22×C1111yescharacteristic, complemented
795#391C22×C1111yescharacteristic, complemented
796#390C22×C1111yescharacteristic
797#390C22×C1111yescharacteristic
798#390C22×C1111yescharacteristic, complemented
799#389C22×C1111yescharacteristic, complemented
800#389C22×C1111yescharacteristic, complemented
801#389C22×C1111yescharacteristic, complemented
802#388C22×C1111yescharacteristic
803#388C22×C1111yescharacteristic
804#388C22×C1111yescharacteristic
805#388C22×C1111yescharacteristic
806#388C22×C1111yescharacteristic
807#388C22×C1111yescharacteristic
808#388C22×C1111yescharacteristic
809#388C22×C1111yescharacteristic
810#388C22×C1111yescharacteristic, complemented
811#388C22×C1111yescharacteristic, complemented
812#388C22×C1111yescharacteristic, complemented
813#388C22×C1111yescharacteristic, complemented
814#388C22×C1111yescharacteristic, complemented
815#388C22×C1111yescharacteristic, complemented
816#388C22×C1111yescharacteristic, complemented
817#387C22×C1111yescharacteristic, complemented
818#387C22×C1111yescharacteristic, complemented
819#387C22×C1111yescharacteristic, complemented
820#387C22×C1111yescharacteristic, complemented
821#387C22×C1111yescharacteristic, complemented
822#387C22×C1111yescharacteristic, complemented
823#387C22×C1111yescharacteristic, complemented
824#387C22×C1111yescharacteristic, complemented
825#387C22×C1111yescharacteristic, complemented
826#386C22×C1111yescharacteristic
827#386C22×C1111yescharacteristic
828#386C22×C1111yescharacteristic
829#386C22×C1111yescharacteristic
830#386C22×C1111yescharacteristic
831#386C22×C1111yescharacteristic
832#386C22×C1111yescharacteristic
833#386C22×C1111yescharacteristic
834#386C22×C1111yescharacteristic
835#386C22×C1111yescharacteristic
836#386C22×C1111yescharacteristic
837#386C22×C1111yescharacteristic
838#386C22×C1111yescharacteristic, complemented
839#385C22×C1111yescharacteristic
840#385C22×C1111yescharacteristic
841#385C22×C1111yescharacteristic
842#385C22×C1111yescharacteristic
843#385C22×C1111yescharacteristic
844#385C22×C1111yescharacteristic
845#385C22×C1111yescharacteristic
846#385C22×C1111yescharacteristic
847#385C22×C1111yescharacteristic
848#385C22×C1111yescharacteristic
849#385C22×C1111yescharacteristic, complemented
850#383C22×C1111yescharacteristic, complemented
851#382C22×C1111yescharacteristic, complemented
852#381C22×C1111yescharacteristic, complemented
853#380C22×C1111yescharacteristic
854#380C22×C1111yescharacteristic
855#380C22×C1111yescharacteristic, complemented
856#379C22×C1111yescharacteristic
857#379C22×C1111yescharacteristic
858C4×C4⋊C4C22×C1111yescharacteristic, complemented
859C4×C4⋊C4C22×C1111yescharacteristic, complemented
860C4×C4⋊C4C22×C1111yescharacteristic, complemented
861C4×C4⋊C4C22×C1111yescharacteristic, complemented
862C4×C4⋊C4C22×C1111yescharacteristic, complemented
863C4×C4⋊C4C22×C1111yescharacteristic, complemented
864C4×C4⋊C4C22×C1111yescharacteristic, complemented
865C4×C4⋊C4C22×C1111yescharacteristic, complemented
866C4×C22⋊C4C22×C1111yescharacteristic
867C4×C22⋊C4C22×C1111yescharacteristic
868C4×C22⋊C4C22×C1111yescharacteristic
869C4×C22⋊C4C22×C1111yescharacteristic
870C4×C22⋊C4C22×C1111yescharacteristic
871C4×C22⋊C4C22×C1111yescharacteristic
872C4×C22⋊C4C22×C1111yescharacteristic
873C4×C22⋊C4C22×C1111yescharacteristic
874C4×C22⋊C4C22×C1111yescharacteristic
875C4×C22⋊C4C22×C1111yescharacteristic
876C4×C22⋊C4C22×C1111yescharacteristic
877C4×C22⋊C4C22×C1111yescharacteristic
878C4×C22⋊C4C22×C1111yescharacteristic
879C4×C22⋊C4C22×C1111yescharacteristic
880C4×C22⋊C4C22×C1111yescharacteristic
881C4×C22⋊C4C22×C1111yescharacteristic
882C4×C22⋊C4C22×C1111yescharacteristic, complemented
883C4×C22⋊C4C22×C1111yescharacteristic, complemented
884C4×C22⋊C4C22×C1111yescharacteristic, complemented
885C4×C22⋊C4C22×C1111yescharacteristic, complemented
886C4×C22⋊C4C22×C1111yescharacteristic, complemented
887C4×C22⋊C4C22×C1111yescharacteristic, complemented
888#376C22×C1111yescharacteristic, complemented
889C2×#95C22×C1111yescharacteristic
890C2×#95C22×C1111yescharacteristic
891C43C22×C1111yescharacteristic, complemented
892C22×C11—22no—
893C22×C11—22no—
894C22×C11—22no—
895C22×C11—22no—
896C22×C11—22no—
897C22×C11—22no—
898C22×C11—22no—
899C22×C11—22no—
900C22×C11—22no—
901C22×C11—22no—
902C22×C11—22no—
903C22×C11—22no—
904C22×C11—22no—
905C22×C11—22no—
906C22×C11—22no—
907C22×C11—416no—
908C22×C11—41no—
909C22×C11—41no—
910C22×C11—41no—
911C22×C11—41no—
912C22×C11—41no—
913C22×C11—41no—
914C22×C11—41no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11—41no—
918C22×C11—41no—
919C22×C11—41no—
920C22×C11—41no—
921C22×C11—41no—
922C22×C11—41no—
923C22×C11—41no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11#52914yes—
928C22×C11C22×#4111yescharacteristic
929C22×C11C22×#4111yescharacteristic
930C22×C11C22×#4111yescharacteristic
931C22×C11C22×#4111yescharacteristic
932C22×C11C22×#4111yescharacteristic
933C22×C11C2×H(5,𝔽2)11yescharacteristic
934C22×C11C2×H(5,𝔽2)11yescharacteristic
935C4×C11—22no—
936C4×C11—22no—
937C4×C11—22no—
938C4×C11—22no—
939C4×C11—22no—
940C4×C11—22no—
941C4×C11—22no—
942C4×C11—22no—
943C4×C11—41no—
944C4×C11—41no—
945C4×C11—41no—
946C4×C11—41no—
947C4×C11—41no—
948C4×C11—41no—
949C4×C11—41no—
950C4×C11—41no—
951C4×C11—41no—
952C4×C11—41no—
953C4×C11—41no—
954C4×C11—41no—
955C4×C11—41no—
956C4×C11—41no—
957C4×C11—41no—
958C4×C11—41no—
959C4×C11—41no—
960C4×C11#53814yes—
961C25C23×C1111yescharacteristic
962C22×Q8C23×C1111yescharacteristic
963C22×D4C23×C1111yescharacteristic
964C22×D4C23×C1111yescharacteristic
965C22×D4C23×C1111yescharacteristic
966C22×D4C23×C1111yescharacteristic
967C22×D4C23×C1111yescharacteristic
968C22×D4C23×C1111yescharacteristic
969C22×D4C23×C1111yescharacteristic
970C23×C4—24no—
971C23×C4—42no—
972C23×C4—42no—
973C23×C4C23×C1111yescharacteristic
974C23×C4C23×C1111yescharacteristic
975C23×C4C23×C1111yescharacteristic
976C23×C4C23×C1111yescharacteristic
977C23×C4C23×C1111yescharacteristic
978C23×C4C23×C1111yescharacteristic
979C23×C4C23×C1111yescharacteristic
980C23×C4C23×C1111yescharacteristic
981C23×C4C23×C1111yescharacteristic
982C23×C4C23×C1111yescharacteristic
983C23×C4C23×C1111yescharacteristic
984C23×C4C23×C1111yescharacteristic
985C23×C4C23×C1111yescharacteristic
986C23×C4C23×C1111yescharacteristic
987#126—24no—
988#124—24no—
989#123—24no—
990C22⋊Q8—24no—
991#121—24no—
992#121—24no—
993#120—24no—
994#120—24no—
995C4×Q8—42no—
996C4×D4—24no—
997C4×D4—24no—
998C4×D4—24no—
999C4×D4—24no—
1000C4×D4—42no—
1001C4×D4—42no—
1002C4×D4—42no—
1003C4×D4—42no—
1004C4×D4—42no—
1005#117—42no—
1006C2×C4⋊C4C23×C1111yescharacteristic
1007C2×C4⋊C4C23×C1111yescharacteristic
1008C2×C4⋊C4C23×C1111yescharacteristic
1009C2×C4⋊C4C23×C1111yescharacteristic
1010C2×C4⋊C4C23×C1111yescharacteristic
1011C2×C4⋊C4C23×C1111yescharacteristic
1012C2×C4⋊C4C23×C1111yescharacteristic
1013C2×C4⋊C4C23×C1111yescharacteristic
1014C2×C4⋊C4C23×C1111yescharacteristic
1015C2×C4⋊C4C23×C1111yescharacteristic
1016C2×C4⋊C4C23×C1111yescharacteristic
1017C2×C4⋊C4C23×C1111yescharacteristic
1018C2×C4⋊C4C23×C1111yescharacteristic
1019C2×C4⋊C4C23×C1111yescharacteristic
1020C2×C4⋊C4C23×C1111yescharacteristic
1021C2×C4⋊C4C23×C1111yescharacteristic
1022C2×C4⋊C4C23×C1111yescharacteristic
1023C2×C4⋊C4C23×C1111yescharacteristic
1024C2×C4⋊C4C23×C1111yescharacteristic
1025C2×C4⋊C4C23×C1111yescharacteristic
1026C2×C4⋊C4C23×C1111yescharacteristic
1027C2×C4⋊C4C23×C1111yescharacteristic
1028C2×C4⋊C4C23×C1111yescharacteristic
1029C2×C4⋊C4C23×C1111yescharacteristic
1030C2×C22⋊C4—24no—
1031C2×C22⋊C4—24no—
1032C2×C22⋊C4C23×C1111yescharacteristic
1033C2×C22⋊C4C23×C1111yescharacteristic
1034C2×C22⋊C4C23×C1111yescharacteristic
1035C2×C22⋊C4C23×C1111yescharacteristic
1036C2×C22⋊C4C23×C1111yescharacteristic
1037C2×C22⋊C4C23×C1111yescharacteristic
1038C2×C22⋊C4C23×C1111yescharacteristic
1039C2×C22⋊C4C23×C1111yescharacteristic
1040C2×C22⋊C4C23×C1111yescharacteristic
1041C2×C22⋊C4C23×C1111yescharacteristic
1042C2×C22⋊C4C23×C1111yescharacteristic
1043C2×C22⋊C4C23×C1111yescharacteristic
1044C2×C22⋊C4C23×C1111yescharacteristic
1045C2×C22⋊C4C23×C1111yescharacteristic
1046C2×C22⋊C4C23×C1111yescharacteristic
1047C2×C22⋊C4C23×C1111yescharacteristic
1048C2×C22⋊C4C23×C1111yescharacteristic
1049C2×C22⋊C4C23×C1111yescharacteristic
1050C2×C22⋊C4C23×C1111yescharacteristic
1051C2×C22⋊C4C23×C1111yescharacteristic
1052C2×C22⋊C4C23×C1111yescharacteristic
1053C2×C22⋊C4C23×C1111yescharacteristic
1054C2×C22⋊C4C23×C1111yescharacteristic
1055C2×C22⋊C4C23×C1111yescharacteristic
1056C2×C22⋊C4C23×C1111yescharacteristic
1057C2×C22⋊C4C23×C1111yescharacteristic
1058C2×C22⋊C4C23×C1111yescharacteristic
1059C2×C22⋊C4C23×C1111yescharacteristic
1060C2×C22⋊C4C23×C1111yescharacteristic
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×C42—42no—
1077C2×C42—42no—
1078C2×C42—42no—
1079C2×C42C23×C1111yescharacteristic
1080C2×C42C23×C1111yescharacteristic
1081C2×C42C23×C1111yescharacteristic
1082C2×C42C23×C1111yescharacteristic
1083C2×C42C23×C1111yescharacteristic
1084C2×C42C23×C1111yescharacteristic
1085C2×C42C23×C1111yescharacteristic
1086C2×C42C23×C1111yescharacteristic
1087C2×C42C23×C1111yescharacteristic
1088C2×C42C23×C1111yescharacteristic
1089C2×C42C23×C1111yescharacteristic
1090C2×C42C23×C1111yescharacteristic
1091C2×C42C23×C1111yescharacteristic
1092C2×C42C23×C1111yescharacteristic
1093C2×C42C23×C1111yescharacteristic
1094C2×C42C23×C1111yescharacteristic
1095C2×C42C23×C1111yescharacteristic
1096C2×C42C23×C1111yescharacteristic
1097C2×C42C23×C1111yescharacteristic
1098C2×C42C23×C1111yescharacteristic
1099#95C23×C1111yescharacteristic
1100#95C23×C1111yescharacteristic
1101#95C23×C1111yescharacteristic
1102#95C23×C1111yescharacteristic
1103#95C23×C1111yescharacteristic
1104#95C23×C1111yescharacteristic
1105#95C23×C1111yescharacteristic
1106#95C23×C1111yescharacteristic
1107#95C23×C1111yescharacteristic
1108#95C23×C1111yescharacteristic
1109#95C23×C1111yescharacteristic
1110#95C23×C1111yescharacteristic
1111#95C23×C1111yescharacteristic
1112#95C23×C1111yescharacteristic
1113#95C23×C1111yescharacteristic
1114#95C23×C1111yescharacteristic
1115#95C23×C1111yescharacteristic
1116#95C23×C1111yescharacteristic
1117#95C23×C1111yescharacteristic
1118#95C23×C1111yescharacteristic
1119#95C23×C1111yescharacteristic
1120#95C23×C1111yescharacteristic
1121#95C23×C1111yescharacteristic
1122#95C23×C1111yescharacteristic
1123#95C23×C1111yescharacteristic
1124#95C23×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
1143C2×C11—24no—
1144C2×C11—42no—
1145C2×C11—42no—
1146C2×C11—42no—
1147C2×C11—81no—
1148C2×C11C2×#52911yescharacteristic
1149C2×C11#344411yescharacteristic
1150C2×C11C2×#53811yescharacteristic
1151C2×C11#348111yescharacteristic
1152C2×C11#348111yescharacteristic
1153C2×C11#348111yescharacteristic
1154C2×C11#348111yescharacteristic
1155C24—22no—
1156C24—22no—
1157C24—22no—
1158C24—22no—
1159C24—22no—
1160C24—41no—
1161C24—41no—
1162C24C24×C1111yescharacteristic
1163C24C24×C1111yescharacteristic
1164C24C24×C1111yescharacteristic
1165C24C24×C1111yescharacteristic
1166C24C24×C1111yescharacteristic
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—41no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4C11×#4114yes—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—416no—
1233C22×C4C11×#4114yes—
1234C22×C4C24×C1111yescharacteristic
1235C22×C4C24×C1111yescharacteristic
1236C22×C4C24×C1111yescharacteristic
1237C22×C4C24×C1111yescharacteristic
1238C22×C4C24×C1111yescharacteristic
1239C22×C4C24×C1111yescharacteristic
1240C22×C4C24×C1111yescharacteristic
1241C22×C4C24×C1111yescharacteristic
1242C22×C4C24×C1111yescharacteristic
1243C22×C4C24×C1111yescharacteristic
1244C22×C4C24×C1111yescharacteristic
1245C22×C4C24×C1111yescharacteristic
1246C22×C4C24×C1111yescharacteristic
1247C22×C4C24×C1111yescharacteristic
1248C22×C4C24×C1111yescharacteristic
1249C22×C4C24×C1111yescharacteristic
1250C22×C4C24×C1111yescharacteristic
1251C22×C4C24×C1111yescharacteristic
1252C22×C4C24×C1111yescharacteristic
1253C22×C4C24×C1111yescharacteristic
1254C22×C4C24×C1111yescharacteristic
1255C22×C4C24×C1111yescharacteristic
1256C22×C4C24×C1111yescharacteristic
1257C22×C4C24×C1111yescharacteristic
1258C22×C4C24×C1111yescharacteristic
1259C22×C4C24×C1111yescharacteristic
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4C11×#4114yes—
1326C22⋊C4C11×#4114yes—
1327C22⋊C4C11×#4114yes—
1328C42—22no—
1329C42—22no—
1330C42—22no—
1331C42—22no—
1332C42—22no—
1333C42—22no—
1334C42—22no—
1335C42—22no—
1336C42—22no—
1337C42—22no—
1338C42—22no—
1339C42—22no—
1340C42—22no—
1341C42—22no—
1342C42—41no—
1343C42—41no—
1344C42—41no—
1345C42—41no—
1346C42—41no—
1347C42—41no—
1348C11#3495911yescharacteristic, direct product factor, Sylow
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—28no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—44no—
1380C23—44no—
1381C23—44no—
1382C23—44no—
1383C23—44no—
1384C23—44no—
1385C23C2×C11×#4112yes—
1386C23C2×C11×#4112yes—
1387C23C2×C11×#4112yes—
1388C23C2×C11×#4112yes—
1389C23C2×C11×#4112yes—
1390C23C2×C11×#4112yes—
1391C23C25×C1111yescharacteristic
1392Q8—44no—
1393D4—28no—
1394D4—44no—
1395D4—44no—
1396D4—44no—
1397D4—44no—
1398D4—44no—
1399D4—44no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—28no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
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—44no—
1469C2×C4—44no—
1470C2×C4—44no—
1471C2×C4—44no—
1472C2×C4—44no—
1473C2×C4—44no—
1474C2×C4—44no—
1475C2×C4—44no—
1476C2×C4—44no—
1477C2×C4—44no—
1478C2×C4—44no—
1479C2×C4—44no—
1480C2×C4—44no—
1481C2×C4C2×C11×#4112yes—
1482C2×C4C2×C11×#4112yes—
1483C2×C4C2×C11×#4112yes—
1484C2×C4C2×C11×#4112yes—
1485C2×C4C2×C11×#4112yes—
1486C2×C4C2×C11×#4112yes—
1487C2×C4C2×C11×#4112yes—
1488C2×C4C2×C11×#4112yes—
1489C2×C4C2×C11×#4112yes—
1490C2×C4C11×H(5,𝔽2)12yes—
1491C2×C4C11×H(5,𝔽2)12yes—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—416no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22C11×#52914yes—
1528C22C22×C11×#4111yescharacteristic
1529C22C22×C11×#4111yescharacteristic
1530C22C22×C11×#4111yescharacteristic
1531C22C22×C11×#4111yescharacteristic
1532C22C22×C11×#4111yescharacteristic
1533C22C2×C11×H(5,𝔽2)11yescharacteristic
1534C22C2×C11×H(5,𝔽2)11yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—22no—
1539C4—22no—
1540C4—22no—
1541C4—22no—
1542C4—22no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4C11×#53814yes—
1561C2—24no—
1562C2—42no—
1563C2—42no—
1564C2—42no—
1565C2—81no—
1566C2C2×C11×#52911yescharacteristic
1567C2C11×#344411yescharacteristic
1568C2C2×C11×#53811yescharacteristic
1569C2C11×#348111yescharacteristic
1570C2C11×#348111yescharacteristic
1571C2C11×#348111yescharacteristic
1572C2C11×#348111yescharacteristic
subgroupG/H
centerC22×C4×C11C24
commutator, Frattini, cosocleC23C25×C11
socleC23×C11C25
prime radicalC11×#2424C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#2597C2semidirect
2. C11×#2595C2semidirect
3. C11×#2589C2semidirect
4. C11×#2587C2semidirect
5. C11×#2578C2semidirect
6. C11×#2576C2semidirect
7. C11×#2559C2semidirect
8. C11×#2557C2semidirect
9. C11×#2510C2semidirect
10. C11×#2505C2semidirect
11. C11×#2480C2semidirect
12. C11×#2472C2semidirect
13. C11×#2450C2semidirect
14. C11×#2444C2semidirect
16. C11×#2418C2semidirect
17. C11×#2401C2semidirect
18. C11×#2398C2semidirect
19. C11×#2395C2semidirect
20. C11×#2392C2semidirect
21. C4×C11×#126C2semidirect
22. C4×C11×#124C2semidirect
23. C4×C11×C22⋊Q8C2semidirect
24. C4×C11×#123C2semidirect
25. C4×C11×#121C2semidirect
26. C4×C11×#121C2semidirect
27. C4×C11×#120C2semidirect
28. C4×C11×#120C2semidirect
29. C11×#2290C2semidirect
30. C42×D4×C11C2semidirect
31. C2×C4×C11×C22⋊C4C2semidirect
41. C2×C4×Q8×C11C22semidirect
50. C2×C4×D4×C11C22semidirect
51. C2×C11×#117C22semidirect
56. C22×C42×C11C22semidirect
57. C11×#401C22semidirect
58. C11×#400C22semidirect
59. C11×#400C22semidirect
60. C11×#400C22semidirect
61. C11×#400C22semidirect
62. C11×#400C22semidirect
63. C11×#400C22semidirect
65. C11×#398C22semidirect
66. C11×#398C22semidirect
72. C11×#397C22semidirect
73. C11×#397C22semidirect
74. C11×#397C22semidirect
75. C11×#397C22semidirect
78. C11×#396C22semidirect
85. C11×#394C22semidirect
87. C11×#393C22semidirect
89. C11×#391C22semidirect
90. C11×#391C22semidirect
93. C11×#390C22semidirect
94. C11×#389C22semidirect
95. C11×#389C22semidirect
96. C11×#389C22semidirect
105. C11×#388C22semidirect
106. C11×#388C22semidirect
107. C11×#388C22semidirect
108. C11×#388C22semidirect
109. C11×#388C22semidirect
110. C11×#388C22semidirect
111. C11×#388C22semidirect
112. C11×#387C22semidirect
113. C11×#387C22semidirect
114. C11×#387C22semidirect
115. C11×#387C22semidirect
116. C11×#387C22semidirect
117. C11×#387C22semidirect
118. C11×#387C22semidirect
119. C11×#387C22semidirect
120. C11×#387C22semidirect
133. C11×#386C22semidirect
144. C11×#385C22semidirect
145. C11×#383C22semidirect
146. C11×#382C22semidirect
147. C11×#381C22semidirect
150. C11×#380C22semidirect
153. C4×C11×C4⋊C4C22semidirect
154. C4×C11×C4⋊C4C22semidirect
155. C4×C11×C4⋊C4C22semidirect
156. C4×C11×C4⋊C4C22semidirect
157. C4×C11×C4⋊C4C22semidirect
158. C4×C11×C4⋊C4C22semidirect
159. C4×C11×C4⋊C4C22semidirect
160. C4×C11×C4⋊C4C22semidirect
177. C4×C11×C22⋊C4C22semidirect
178. C4×C11×C22⋊C4C22semidirect
179. C4×C11×C22⋊C4C22semidirect
180. C4×C11×C22⋊C4C22semidirect
181. C4×C11×C22⋊C4C22semidirect
182. C4×C11×C22⋊C4C22semidirect
183. C11×#376C22semidirect
186. C43×C11C22semidirect
369. #34959C11direct (N × H)
563. #2597C2×C11semidirect
564. #2595C2×C11semidirect
565. #2589C2×C11semidirect
566. #2587C2×C11semidirect
567. #2578C2×C11semidirect
568. #2576C2×C11semidirect
569. #2559C2×C11semidirect
570. #2557C2×C11semidirect
571. #2510C2×C11semidirect
572. #2505C2×C11semidirect
573. #2480C2×C11semidirect
574. #2472C2×C11semidirect
575. #2450C2×C11semidirect
576. #2444C2×C11semidirect
578. #2418C2×C11semidirect
579. #2401C2×C11semidirect
580. #2398C2×C11semidirect
581. #2395C2×C11semidirect
582. #2392C2×C11semidirect
583. C4×#126C2×C11semidirect
584. C4×#124C2×C11semidirect
585. C4×C22⋊Q8C2×C11semidirect
586. C4×#123C2×C11semidirect
587. C4×#121C2×C11semidirect
588. C4×#121C2×C11semidirect
589. C4×#120C2×C11semidirect
590. C4×#120C2×C11semidirect
591. #2290C2×C11semidirect
592. C42×D4C2×C11semidirect
593. C2×C4×C22⋊C4C2×C11semidirect
746. C2×C4×Q8C22×C11semidirect
755. C2×C4×D4C22×C11semidirect
756. C2×#117C22×C11semidirect
761. C22×C42C22×C11semidirect
762. #401C22×C11semidirect
763. #400C22×C11semidirect
764. #400C22×C11semidirect
765. #400C22×C11semidirect
766. #400C22×C11semidirect
767. #400C22×C11semidirect
768. #400C22×C11semidirect
770. #398C22×C11semidirect
771. #398C22×C11semidirect
777. #397C22×C11semidirect
778. #397C22×C11semidirect
779. #397C22×C11semidirect
780. #397C22×C11semidirect
783. #396C22×C11semidirect
790. #394C22×C11semidirect
792. #393C22×C11semidirect
794. #391C22×C11semidirect
795. #391C22×C11semidirect
798. #390C22×C11semidirect
799. #389C22×C11semidirect
800. #389C22×C11semidirect
801. #389C22×C11semidirect
810. #388C22×C11semidirect
811. #388C22×C11semidirect
812. #388C22×C11semidirect
813. #388C22×C11semidirect
814. #388C22×C11semidirect
815. #388C22×C11semidirect
816. #388C22×C11semidirect
817. #387C22×C11semidirect
818. #387C22×C11semidirect
819. #387C22×C11semidirect
820. #387C22×C11semidirect
821. #387C22×C11semidirect
822. #387C22×C11semidirect
823. #387C22×C11semidirect
824. #387C22×C11semidirect
825. #387C22×C11semidirect
838. #386C22×C11semidirect
849. #385C22×C11semidirect
850. #383C22×C11semidirect
851. #382C22×C11semidirect
852. #381C22×C11semidirect
855. #380C22×C11semidirect
858. C4×C4⋊C4C22×C11semidirect
859. C4×C4⋊C4C22×C11semidirect
860. C4×C4⋊C4C22×C11semidirect
861. C4×C4⋊C4C22×C11semidirect
862. C4×C4⋊C4C22×C11semidirect
863. C4×C4⋊C4C22×C11semidirect
864. C4×C4⋊C4C22×C11semidirect
865. C4×C4⋊C4C22×C11semidirect
882. C4×C22⋊C4C22×C11semidirect
883. C4×C22⋊C4C22×C11semidirect
884. C4×C22⋊C4C22×C11semidirect
885. C4×C22⋊C4C22×C11semidirect
886. C4×C22⋊C4C22×C11semidirect
887. C4×C22⋊C4C22×C11semidirect
888. #376C22×C11semidirect
891. C43C22×C11semidirect
1348. C11#34959direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#25972
C11×#25952
C11×#25892
C11×#25872
C11×#25782
C11×#25762
C11×#25592
C11×#25572
C11×#25102
C11×#25052
C11×#24802
C11×#24722
C11×#24502
C11×#24442
C11×#24242
C11×#24182
C11×#24012
C11×#23982
C11×#23952
C11×#23922
C4×C11×#1262
C4×C11×#1242
C4×C11×C22⋊Q82
C4×C11×#1232
C4×C11×#1212
C4×C11×#1202
C11×#22902
C42×D4×C112
C2×C4×C11×C22⋊C42
#3495911