Finite Group Databasebeta

← C11×#36733 #14613926

Subgroups — C11×#36733 #14613926

Order 2816.

1790 conjugacy classes of subgroups.

The subgroup lattice has 1458 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2849C211yesmaximal, characteristic
2C11×#2848C211yesmaximal, characteristic, complemented
3C11×#2745C211yesmaximal, characteristic, complemented
4C11×#2745C211yesmaximal, characteristic, complemented
5C11×#2744C211yesmaximal, characteristic, complemented
6C11×#2743C211yesmaximal, characteristic, complemented
7C11×#2742C211yesmaximal, characteristic, complemented
8C11×#2741C211yesmaximal, characteristic, complemented
9C11×#2736C211yesmaximal, characteristic, complemented
10C11×#2735C211yesmaximal, characteristic, complemented
11C11×#2707C211yesmaximal, characteristic, complemented
12C11×#2700C211yesmaximal, characteristic, complemented
13C11×#2698C211yesmaximal, characteristic, complemented
14C11×#2692C211yesmaximal, characteristic, complemented
15C11×#2690C211yesmaximal, characteristic, complemented
16C11×#2687C211yesmaximal, characteristic, complemented
17C11×#2685C211yesmaximal, characteristic
18C11×#2684C211yesmaximal, characteristic
19C11×#2665C211yesmaximal, characteristic, complemented
20C11×#2663C211yesmaximal, characteristic, complemented
21C11×#2595C211yesmaximal, characteristic, complemented
22C11×#2589C211yesmaximal, characteristic, complemented
23C11×#2589C211yesmaximal, characteristic, complemented
24C11×#2576C211yesmaximal, characteristic, complemented
25C11×#2478C211yesmaximal, characteristic, complemented
26C11×#2477C211yesmaximal, characteristic, complemented
27C11×#2475C211yesmaximal, characteristic, complemented
28C11×#2474C211yesmaximal, characteristic, complemented
29C11×#2335C211yesmaximal, characteristic, complemented
30C11×#2332C211yesmaximal, characteristic, complemented
31C11×#2280C211yesmaximal, characteristic, complemented
32C24×C4×C11C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic
34C2×C11×#125C2211yescharacteristic, complemented
35C2×C11×#124C2211yescharacteristic
36C2×C11×#123C2211yescharacteristic
37C2×C11×#123C2211yescharacteristic
38C2×C11×C22⋊Q8C2211yescharacteristic
39C2×C11×C22⋊Q8C2211yescharacteristic
40C2×C11×C22⋊Q8C2211yescharacteristic
41C2×C11×C22⋊Q8C2211yescharacteristic, complemented
42C2×C11×#120C2211yescharacteristic
43C2×C11×#117C2211yescharacteristic
44C2×C11×#117C2211yescharacteristic
45C11×#401C2211yescharacteristic, complemented
46C11×#400C2211yescharacteristic, complemented
47C11×#400C2211yescharacteristic, complemented
48C11×#400C2211yescharacteristic, complemented
49C11×#400C2211yescharacteristic, complemented
50C11×#400C2211yescharacteristic, complemented
51C11×#400C2211yescharacteristic, complemented
52C11×#400C2211yescharacteristic, complemented
53C11×#400C2211yescharacteristic, complemented
54C11×#399C2211yescharacteristic
55C11×#399C2211yescharacteristic
56C11×#399C2211yescharacteristic, complemented
57C11×#398C2211yescharacteristic, complemented
58C11×#398C2211yescharacteristic, complemented
59C11×#398C2211yescharacteristic, complemented
60C11×#398C2211yescharacteristic, complemented
61C11×#398C2211yescharacteristic, complemented
62C11×#397C2211yescharacteristic
63C11×#397C2211yescharacteristic
64C11×#397C2211yescharacteristic
65C11×#397C2211yescharacteristic
66C11×#397C2211yescharacteristic
67C11×#397C2211yescharacteristic
68C11×#397C2211yescharacteristic
69C11×#397C2211yescharacteristic
70C11×#397C2211yescharacteristic, complemented
71C11×#397C2211yescharacteristic, complemented
72C11×#396C2211yescharacteristic
73C11×#396C2211yescharacteristic
74C11×#396C2211yescharacteristic
75C11×#396C2211yescharacteristic, complemented
76C11×#396C2211yescharacteristic, complemented
77C11×#395C2211yescharacteristic, complemented
78C11×#395C2211yescharacteristic, complemented
79C11×#395C2211yescharacteristic, complemented
80C11×#395C2211yescharacteristic, complemented
81C11×#394C2211yescharacteristic
82C11×#394C2211yescharacteristic
83C11×#394C2211yescharacteristic
84C11×#394C2211yescharacteristic
85C11×#394C2211yescharacteristic
86C11×#394C2211yescharacteristic
87C11×#393C2211yescharacteristic
88C11×#393C2211yescharacteristic
89C11×#393C2211yescharacteristic
90C11×#393C2211yescharacteristic
91C11×#393C2211yescharacteristic
92C11×#393C2211yescharacteristic, complemented
93C11×#391C2211yescharacteristic, complemented
94C11×#391C2211yescharacteristic, complemented
95C11×#391C2211yescharacteristic, complemented
96C11×#391C2211yescharacteristic, complemented
97C11×#391C2211yescharacteristic, complemented
98C11×#391C2211yescharacteristic, complemented
99C11×#390C2211yescharacteristic
100C11×#390C2211yescharacteristic
101C11×#389C2211yescharacteristic, complemented
102C11×#389C2211yescharacteristic, complemented
103C11×#389C2211yescharacteristic, complemented
104C11×#389C2211yescharacteristic, complemented
105C11×#388C2211yescharacteristic
106C11×#388C2211yescharacteristic
107C11×#388C2211yescharacteristic
108C11×#388C2211yescharacteristic
109C11×#388C2211yescharacteristic
110C11×#388C2211yescharacteristic
111C11×#388C2211yescharacteristic
112C11×#388C2211yescharacteristic
113C11×#388C2211yescharacteristic
114C11×#388C2211yescharacteristic
115C11×#388C2211yescharacteristic
116C11×#388C2211yescharacteristic
117C11×#388C2211yescharacteristic
118C11×#388C2211yescharacteristic
119C11×#388C2211yescharacteristic
120C11×#388C2211yescharacteristic
121C11×#388C2211yescharacteristic
122C11×#388C2211yescharacteristic, complemented
123C11×#388C2211yescharacteristic, complemented
124C11×#388C2211yescharacteristic, complemented
125C11×#388C2211yescharacteristic, complemented
126C11×#388C2211yescharacteristic, complemented
127C11×#388C2211yescharacteristic, complemented
128C11×#387C2211yescharacteristic, complemented
129C11×#387C2211yescharacteristic, complemented
130C11×#387C2211yescharacteristic, complemented
131C11×#387C2211yescharacteristic, complemented
132C11×#387C2211yescharacteristic, complemented
133C11×#387C2211yescharacteristic, complemented
134C11×#387C2211yescharacteristic, complemented
135C11×#387C2211yescharacteristic, complemented
136C11×#387C2211yescharacteristic, complemented
137C11×#387C2211yescharacteristic, complemented
138C11×#387C2211yescharacteristic, complemented
139C11×#387C2211yescharacteristic, complemented
140C11×#387C2211yescharacteristic, complemented
141C11×#387C2211yescharacteristic, complemented
142C11×#387C2211yescharacteristic, complemented
143C11×#386C2211yescharacteristic
144C11×#386C2211yescharacteristic
145C11×#386C2211yescharacteristic
146C11×#386C2211yescharacteristic
147C11×#386C2211yescharacteristic
148C11×#386C2211yescharacteristic
149C11×#386C2211yescharacteristic
150C11×#385C2211yescharacteristic
151C11×#385C2211yescharacteristic
152C11×#385C2211yescharacteristic
153C11×#385C2211yescharacteristic
154C11×#385C2211yescharacteristic
155C11×#385C2211yescharacteristic
156C11×#385C2211yescharacteristic
157C11×#385C2211yescharacteristic
158C11×#385C2211yescharacteristic
159C11×#385C2211yescharacteristic
160C11×#385C2211yescharacteristic, complemented
161C11×#382C2211yescharacteristic, complemented
162C11×#381C2211yescharacteristic
163C11×#381C2211yescharacteristic
164C11×#381C2211yescharacteristic
165C11×#381C2211yescharacteristic
166C11×#381C2211yescharacteristic, complemented
167C11×#380C2211yescharacteristic
168C11×#380C2211yescharacteristic
169C11×#380C2211yescharacteristic
170C11×#380C2211yescharacteristic
171C11×#380C2211yescharacteristic
172C11×#380C2211yescharacteristic
173C11×#380C2211yescharacteristic
174C11×#379C2211yescharacteristic
175C11×#379C2211yescharacteristic
176C11×#379C2211yescharacteristic
177C11×#379C2211yescharacteristic
178C11×#379C2211yescharacteristic
179C4×C11×C4⋊C4C2211yescharacteristic, complemented
180C4×C11×C4⋊C4C2211yescharacteristic, complemented
181C4×C11×C4⋊C4C2211yescharacteristic, complemented
182C4×C11×C22⋊C4C2211yescharacteristic
183C4×C11×C22⋊C4C2211yescharacteristic
184C4×C11×C22⋊C4C2211yescharacteristic
185C4×C11×C22⋊C4C2211yescharacteristic
186C4×C11×C22⋊C4C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C23×C4×C11—24no—
195C23×C4×C11—42no—
196C23×C4×C11—42no—
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C23×C4×C11C2311yescharacteristic
204C11×#126—42no—
205C11×#125—42no—
206C11×#124—42no—
207C11×#123—24no—
208C11×#123—42no—
209C11×C22⋊Q8—24no—
210C11×C22⋊Q8—42no—
211C11×C22⋊Q8—42no—
212C11×C22⋊Q8—42no—
213C11×#120—42no—
214C11×#117—42no—
215C11×#117—42no—
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C4⋊C4C2311yescharacteristic
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊C4C2311yescharacteristic
248C2×C11×C4⋊C4C2311yescharacteristic
249C2×C11×C4⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C11×C22⋊C4C2311yescharacteristic
254C2×C11×C22⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4C2311yescharacteristic
256C2×C11×C22⋊C4C2311yescharacteristic
257C2×C11×C22⋊C4C2311yescharacteristic
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×C42×C11C2311yescharacteristic
295C2×C42×C11C2311yescharacteristic
296C2×C42×C11C2311yescharacteristic
297C2×C42×C11C2311yescharacteristic
298C2×C42×C11C2311yescharacteristic
299C2×C42×C11C2311yescharacteristic
300C2×C42×C11C2311yescharacteristic
301C2×C42×C11C2311yescharacteristic
302C2×C42×C11C2311yescharacteristic
303C2×C42×C11C2311yescharacteristic
304C2×C42×C11C2311yescharacteristic
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11×#95C2311yescharacteristic
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11×#95C2311yescharacteristic
339C11×#95C2311yescharacteristic
340C11×#95C2311yescharacteristic
341C11×#95C2311yescharacteristic
342C11×#95C2311yescharacteristic
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357#36733C1111yesmaximal, characteristic, direct product factor, Sylow
358C24×C11—22no—
359C24×C11—22no—
360C24×C11—22no—
361C24×C11—41no—
362C24×C11—41no—
363C24×C11—41no—
364C24×C11—41no—
365C24×C11C2411yescharacteristic
366C24×C11C2411yescharacteristic
367C24×C11C2411yescharacteristic
368C24×C11C2411yescharacteristic
369C2×Q8×C11—22no—
370C2×Q8×C11—41no—
371C2×Q8×C11—41no—
372C2×Q8×C11—41no—
373C2×Q8×C11—41no—
374C2×Q8×C11—41no—
375C2×Q8×C11—41no—
376C2×Q8×C11—41no—
377C2×Q8×C11—41no—
378C2×D4×C11—22no—
379C2×D4×C11—22no—
380C2×D4×C11—22no—
381C2×D4×C11—41no—
382C2×D4×C11—41no—
383C2×D4×C11—41no—
384C2×D4×C11—41no—
385C2×D4×C11—41no—
386C2×D4×C11—41no—
387C22×C4×C11—22no—
388C22×C4×C11—22no—
389C22×C4×C11—22no—
390C22×C4×C11—22no—
391C22×C4×C11—22no—
392C22×C4×C11—22no—
393C22×C4×C11—22no—
394C22×C4×C11—22no—
395C22×C4×C11—22no—
396C22×C4×C11—22no—
397C22×C4×C11—41no—
398C22×C4×C11—41no—
399C22×C4×C11—41no—
400C22×C4×C11—41no—
401C22×C4×C11—41no—
402C22×C4×C11—41no—
403C22×C4×C11—41no—
404C22×C4×C11—41no—
405C22×C4×C11—41no—
406C22×C4×C11—41no—
407C22×C4×C11—416no—
408C22×C4×C11#4114yes—
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C11×C4⋊C4—22no—
437C11×C4⋊C4—22no—
438C11×C4⋊C4—22no—
439C11×C4⋊C4—22no—
440C11×C4⋊C4—22no—
441C11×C4⋊C4—22no—
442C11×C4⋊C4—22no—
443C11×C4⋊C4—22no—
444C11×C4⋊C4—22no—
445C11×C4⋊C4—22no—
446C11×C4⋊C4—41no—
447C11×C4⋊C4—41no—
448C11×C4⋊C4—41no—
449C11×C4⋊C4—41no—
450C11×C4⋊C4—41no—
451C11×C4⋊C4—41no—
452C11×C4⋊C4—41no—
453C11×C4⋊C4—41no—
454C11×C4⋊C4—41no—
455C11×C4⋊C4—41no—
456C11×C4⋊C4—41no—
457C11×C4⋊C4—41no—
458C11×C4⋊C4—41no—
459C11×C4⋊C4—41no—
460C11×C4⋊C4—41no—
461C11×C4⋊C4—41no—
462C11×C4⋊C4—41no—
463C11×C4⋊C4—41no—
464C11×C4⋊C4—41no—
465C11×C4⋊C4—41no—
466C11×C4⋊C4—41no—
467C11×C4⋊C4—41no—
468C11×C4⋊C4—41no—
469C11×C4⋊C4—41no—
470C11×C22⋊C4—22no—
471C11×C22⋊C4—22no—
472C11×C22⋊C4—22no—
473C11×C22⋊C4—22no—
474C11×C22⋊C4—22no—
475C11×C22⋊C4—22no—
476C11×C22⋊C4—22no—
477C11×C22⋊C4—22no—
478C11×C22⋊C4—22no—
479C11×C22⋊C4—22no—
480C11×C22⋊C4—22no—
481C11×C22⋊C4—22no—
482C11×C22⋊C4—22no—
483C11×C22⋊C4—22no—
484C11×C22⋊C4—41no—
485C11×C22⋊C4—41no—
486C11×C22⋊C4—41no—
487C11×C22⋊C4—41no—
488C11×C22⋊C4—41no—
489C11×C22⋊C4—41no—
490C11×C22⋊C4—41no—
491C11×C22⋊C4—41no—
492C11×C22⋊C4—41no—
493C11×C22⋊C4—41no—
494C11×C22⋊C4—41no—
495C11×C22⋊C4—41no—
496C11×C22⋊C4—41no—
497C11×C22⋊C4—41no—
498C11×C22⋊C4—41no—
499C11×C22⋊C4—41no—
500C11×C22⋊C4—41no—
501C11×C22⋊C4—41no—
502C11×C22⋊C4—41no—
503C11×C22⋊C4—41no—
504C11×C22⋊C4—41no—
505C11×C22⋊C4—41no—
506C11×C22⋊C4—41no—
507C11×C22⋊C4—41no—
508C11×C22⋊C4—41no—
509C11×C22⋊C4—41no—
510C11×C22⋊C4—41no—
511C11×C22⋊C4—41no—
512C11×C22⋊C4—41no—
513C11×C22⋊C4—41no—
514C42×C11—41no—
515C42×C11—41no—
516C42×C11—41no—
517C42×C11—41no—
518C42×C11—41no—
519C42×C11—41no—
520C42×C11—41no—
521C42×C11—41no—
522C42×C11—41no—
523C42×C11—41no—
524C42×C11—41no—
525#2849C2×C1111yescharacteristic
526#2848C2×C1111yescharacteristic, complemented
527#2745C2×C1111yescharacteristic, complemented
528#2745C2×C1111yescharacteristic, complemented
529#2744C2×C1111yescharacteristic, complemented
530#2743C2×C1111yescharacteristic, complemented
531#2742C2×C1111yescharacteristic, complemented
532#2741C2×C1111yescharacteristic, complemented
533#2736C2×C1111yescharacteristic, complemented
534#2735C2×C1111yescharacteristic, complemented
535#2707C2×C1111yescharacteristic, complemented
536#2700C2×C1111yescharacteristic, complemented
537#2698C2×C1111yescharacteristic, complemented
538#2692C2×C1111yescharacteristic, complemented
539#2690C2×C1111yescharacteristic, complemented
540#2687C2×C1111yescharacteristic, complemented
541#2685C2×C1111yescharacteristic
542#2684C2×C1111yescharacteristic
543#2665C2×C1111yescharacteristic, complemented
544#2663C2×C1111yescharacteristic, complemented
545#2595C2×C1111yescharacteristic, complemented
546#2589C2×C1111yescharacteristic, complemented
547#2589C2×C1111yescharacteristic, complemented
548#2576C2×C1111yescharacteristic, complemented
549#2478C2×C1111yescharacteristic, complemented
550#2477C2×C1111yescharacteristic, complemented
551#2475C2×C1111yescharacteristic, complemented
552#2474C2×C1111yescharacteristic, complemented
553#2335C2×C1111yescharacteristic, complemented
554#2332C2×C1111yescharacteristic, complemented
555#2280C2×C1111yescharacteristic, complemented
556C23×C11—21no—
557C23×C11—21no—
558C23×C11—21no—
559C23×C11—21no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11—21no—
565C23×C11—21no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11—21no—
569C23×C11—21no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11—21no—
578C23×C11—21no—
579C23×C11—21no—
580C23×C11—21no—
581C23×C11—44no—
582C23×C11—44no—
583C23×C11—44no—
584C23×C11—44no—
585C23×C11—44no—
586C23×C11—44no—
587C23×C11—44no—
588C23×C11C2×#4112yes—
589C23×C11H(5,𝔽2)12yes—
590C23×C112−1+412yes—
591C23×C11C2511yescharacteristic
592Q8×C11—82no—
593Q8×C11—82no—
594Q8×C11—82no—
595D4×C11—82no—
596D4×C11—82no—
597D4×C11—82no—
598C2×C4×C11—28no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—44no—
678C2×C4×C11—44no—
679C2×C4×C11—44no—
680C2×C4×C11—44no—
681C2×C4×C11—44no—
682C2×C4×C11—82no—
683C2×C4×C11C2×#4112yes—
684C2×C4×C11C2×#4112yes—
685C2×C4×C11H(5,𝔽2)12yes—
686C24×C4C22×C1111yescharacteristic
687C2×#126C22×C1111yescharacteristic
688C2×#125C22×C1111yescharacteristic, complemented
689C2×#124C22×C1111yescharacteristic
690C2×#123C22×C1111yescharacteristic
691C2×#123C22×C1111yescharacteristic
692C2×C22⋊Q8C22×C1111yescharacteristic
693C2×C22⋊Q8C22×C1111yescharacteristic
694C2×C22⋊Q8C22×C1111yescharacteristic
695C2×C22⋊Q8C22×C1111yescharacteristic, complemented
696C2×#120C22×C1111yescharacteristic
697C2×#117C22×C1111yescharacteristic
698C2×#117C22×C1111yescharacteristic
699#401C22×C1111yescharacteristic, complemented
700#400C22×C1111yescharacteristic, complemented
701#400C22×C1111yescharacteristic, complemented
702#400C22×C1111yescharacteristic, complemented
703#400C22×C1111yescharacteristic, complemented
704#400C22×C1111yescharacteristic, complemented
705#400C22×C1111yescharacteristic, complemented
706#400C22×C1111yescharacteristic, complemented
707#400C22×C1111yescharacteristic, complemented
708#399C22×C1111yescharacteristic
709#399C22×C1111yescharacteristic
710#399C22×C1111yescharacteristic, complemented
711#398C22×C1111yescharacteristic, complemented
712#398C22×C1111yescharacteristic, complemented
713#398C22×C1111yescharacteristic, complemented
714#398C22×C1111yescharacteristic, complemented
715#398C22×C1111yescharacteristic, complemented
716#397C22×C1111yescharacteristic
717#397C22×C1111yescharacteristic
718#397C22×C1111yescharacteristic
719#397C22×C1111yescharacteristic
720#397C22×C1111yescharacteristic
721#397C22×C1111yescharacteristic
722#397C22×C1111yescharacteristic
723#397C22×C1111yescharacteristic
724#397C22×C1111yescharacteristic, complemented
725#397C22×C1111yescharacteristic, complemented
726#396C22×C1111yescharacteristic
727#396C22×C1111yescharacteristic
728#396C22×C1111yescharacteristic
729#396C22×C1111yescharacteristic, complemented
730#396C22×C1111yescharacteristic, complemented
731#395C22×C1111yescharacteristic, complemented
732#395C22×C1111yescharacteristic, complemented
733#395C22×C1111yescharacteristic, complemented
734#395C22×C1111yescharacteristic, complemented
735#394C22×C1111yescharacteristic
736#394C22×C1111yescharacteristic
737#394C22×C1111yescharacteristic
738#394C22×C1111yescharacteristic
739#394C22×C1111yescharacteristic
740#394C22×C1111yescharacteristic
741#393C22×C1111yescharacteristic
742#393C22×C1111yescharacteristic
743#393C22×C1111yescharacteristic
744#393C22×C1111yescharacteristic
745#393C22×C1111yescharacteristic
746#393C22×C1111yescharacteristic, complemented
747#391C22×C1111yescharacteristic, complemented
748#391C22×C1111yescharacteristic, complemented
749#391C22×C1111yescharacteristic, complemented
750#391C22×C1111yescharacteristic, complemented
751#391C22×C1111yescharacteristic, complemented
752#391C22×C1111yescharacteristic, complemented
753#390C22×C1111yescharacteristic
754#390C22×C1111yescharacteristic
755#389C22×C1111yescharacteristic, complemented
756#389C22×C1111yescharacteristic, complemented
757#389C22×C1111yescharacteristic, complemented
758#389C22×C1111yescharacteristic, complemented
759#388C22×C1111yescharacteristic
760#388C22×C1111yescharacteristic
761#388C22×C1111yescharacteristic
762#388C22×C1111yescharacteristic
763#388C22×C1111yescharacteristic
764#388C22×C1111yescharacteristic
765#388C22×C1111yescharacteristic
766#388C22×C1111yescharacteristic
767#388C22×C1111yescharacteristic
768#388C22×C1111yescharacteristic
769#388C22×C1111yescharacteristic
770#388C22×C1111yescharacteristic
771#388C22×C1111yescharacteristic
772#388C22×C1111yescharacteristic
773#388C22×C1111yescharacteristic
774#388C22×C1111yescharacteristic
775#388C22×C1111yescharacteristic
776#388C22×C1111yescharacteristic, complemented
777#388C22×C1111yescharacteristic, complemented
778#388C22×C1111yescharacteristic, complemented
779#388C22×C1111yescharacteristic, complemented
780#388C22×C1111yescharacteristic, complemented
781#388C22×C1111yescharacteristic, complemented
782#387C22×C1111yescharacteristic, complemented
783#387C22×C1111yescharacteristic, complemented
784#387C22×C1111yescharacteristic, complemented
785#387C22×C1111yescharacteristic, complemented
786#387C22×C1111yescharacteristic, complemented
787#387C22×C1111yescharacteristic, complemented
788#387C22×C1111yescharacteristic, complemented
789#387C22×C1111yescharacteristic, complemented
790#387C22×C1111yescharacteristic, complemented
791#387C22×C1111yescharacteristic, complemented
792#387C22×C1111yescharacteristic, complemented
793#387C22×C1111yescharacteristic, complemented
794#387C22×C1111yescharacteristic, complemented
795#387C22×C1111yescharacteristic, complemented
796#387C22×C1111yescharacteristic, complemented
797#386C22×C1111yescharacteristic
798#386C22×C1111yescharacteristic
799#386C22×C1111yescharacteristic
800#386C22×C1111yescharacteristic
801#386C22×C1111yescharacteristic
802#386C22×C1111yescharacteristic
803#386C22×C1111yescharacteristic
804#385C22×C1111yescharacteristic
805#385C22×C1111yescharacteristic
806#385C22×C1111yescharacteristic
807#385C22×C1111yescharacteristic
808#385C22×C1111yescharacteristic
809#385C22×C1111yescharacteristic
810#385C22×C1111yescharacteristic
811#385C22×C1111yescharacteristic
812#385C22×C1111yescharacteristic
813#385C22×C1111yescharacteristic
814#385C22×C1111yescharacteristic, complemented
815#382C22×C1111yescharacteristic, complemented
816#381C22×C1111yescharacteristic
817#381C22×C1111yescharacteristic
818#381C22×C1111yescharacteristic
819#381C22×C1111yescharacteristic
820#381C22×C1111yescharacteristic, complemented
821#380C22×C1111yescharacteristic
822#380C22×C1111yescharacteristic
823#380C22×C1111yescharacteristic
824#380C22×C1111yescharacteristic
825#380C22×C1111yescharacteristic
826#380C22×C1111yescharacteristic
827#380C22×C1111yescharacteristic
828#379C22×C1111yescharacteristic
829#379C22×C1111yescharacteristic
830#379C22×C1111yescharacteristic
831#379C22×C1111yescharacteristic
832#379C22×C1111yescharacteristic
833C4×C4⋊C4C22×C1111yescharacteristic, complemented
834C4×C4⋊C4C22×C1111yescharacteristic, complemented
835C4×C4⋊C4C22×C1111yescharacteristic, complemented
836C4×C22⋊C4C22×C1111yescharacteristic
837C4×C22⋊C4C22×C1111yescharacteristic
838C4×C22⋊C4C22×C1111yescharacteristic
839C4×C22⋊C4C22×C1111yescharacteristic
840C4×C22⋊C4C22×C1111yescharacteristic, complemented
841C22×C11—22no—
842C22×C11—22no—
843C22×C11—22no—
844C22×C11—22no—
845C22×C11—22no—
846C22×C11—22no—
847C22×C11—22no—
848C22×C11—22no—
849C22×C11—22no—
850C22×C11—416no—
851C22×C11—41no—
852C22×C11—41no—
853C22×C11—41no—
854C22×C11—41no—
855C22×C11—41no—
856C22×C11—41no—
857C22×C11—41no—
858C22×C11—41no—
859C22×C11—41no—
860C22×C11—41no—
861C22×C11—41no—
862C22×C11—41no—
863C22×C11—41no—
864C22×C11—41no—
865C22×C11—41no—
866C22×C11—41no—
867C22×C11—41no—
868C22×C11—41no—
869C22×C11—41no—
870C22×C11C22×#4111yescharacteristic
871C22×C11C2×H(5,𝔽2)11yescharacteristic
872C22×C11C2×H(5,𝔽2)11yescharacteristic
873C22×C11C2×2−1+411yescharacteristic
874C22×C11#58511yescharacteristic
875C22×C11#58511yescharacteristic
876C22×C11#58511yescharacteristic
877C4×C11—22no—
878C4×C11—22no—
879C4×C11—22no—
880C4×C11—41no—
881C4×C11—41no—
882C4×C11—41no—
883C4×C11—41no—
884C4×C11—41no—
885C4×C11—41no—
886C4×C11—41no—
887C4×C11—41no—
888C4×C11—41no—
889C4×C11—41no—
890C4×C11—41no—
891C4×C11—41no—
892C4×C11—41no—
893C4×C11—41no—
894C4×C11—41no—
895C4×C11—41no—
896C4×C11—41no—
897C4×C11—41no—
898C4×C11—41no—
899C4×C11—41no—
900C4×C11—41no—
901C4×C11—41no—
902C4×C11—41no—
903C4×C11—41no—
904C25C23×C1111yescharacteristic
905C22×Q8C23×C1111yescharacteristic
906C22×Q8C23×C1111yescharacteristic
907C22×Q8C23×C1111yescharacteristic
908C22×D4C23×C1111yescharacteristic
909C22×D4C23×C1111yescharacteristic
910C22×D4C23×C1111yescharacteristic
911C23×C4—24no—
912C23×C4—42no—
913C23×C4—42no—
914C23×C4C23×C1111yescharacteristic
915C23×C4C23×C1111yescharacteristic
916C23×C4C23×C1111yescharacteristic
917C23×C4C23×C1111yescharacteristic
918C23×C4C23×C1111yescharacteristic
919C23×C4C23×C1111yescharacteristic
920C23×C4C23×C1111yescharacteristic
921#126—42no—
922#125—42no—
923#124—42no—
924#123—24no—
925#123—42no—
926C22⋊Q8—24no—
927C22⋊Q8—42no—
928C22⋊Q8—42no—
929C22⋊Q8—42no—
930#120—42no—
931#117—42no—
932#117—42no—
933C2×C4⋊C4C23×C1111yescharacteristic
934C2×C4⋊C4C23×C1111yescharacteristic
935C2×C4⋊C4C23×C1111yescharacteristic
936C2×C4⋊C4C23×C1111yescharacteristic
937C2×C4⋊C4C23×C1111yescharacteristic
938C2×C4⋊C4C23×C1111yescharacteristic
939C2×C4⋊C4C23×C1111yescharacteristic
940C2×C4⋊C4C23×C1111yescharacteristic
941C2×C4⋊C4C23×C1111yescharacteristic
942C2×C4⋊C4C23×C1111yescharacteristic
943C2×C4⋊C4C23×C1111yescharacteristic
944C2×C4⋊C4C23×C1111yescharacteristic
945C2×C4⋊C4C23×C1111yescharacteristic
946C2×C4⋊C4C23×C1111yescharacteristic
947C2×C4⋊C4C23×C1111yescharacteristic
948C2×C4⋊C4C23×C1111yescharacteristic
949C2×C4⋊C4C23×C1111yescharacteristic
950C2×C4⋊C4C23×C1111yescharacteristic
951C2×C4⋊C4C23×C1111yescharacteristic
952C2×C4⋊C4C23×C1111yescharacteristic
953C2×C4⋊C4C23×C1111yescharacteristic
954C2×C4⋊C4C23×C1111yescharacteristic
955C2×C4⋊C4C23×C1111yescharacteristic
956C2×C4⋊C4C23×C1111yescharacteristic
957C2×C4⋊C4C23×C1111yescharacteristic
958C2×C4⋊C4C23×C1111yescharacteristic
959C2×C4⋊C4C23×C1111yescharacteristic
960C2×C4⋊C4C23×C1111yescharacteristic
961C2×C4⋊C4C23×C1111yescharacteristic
962C2×C4⋊C4C23×C1111yescharacteristic
963C2×C4⋊C4C23×C1111yescharacteristic
964C2×C4⋊C4C23×C1111yescharacteristic
965C2×C4⋊C4C23×C1111yescharacteristic
966C2×C4⋊C4C23×C1111yescharacteristic
967C2×C22⋊C4C23×C1111yescharacteristic
968C2×C22⋊C4C23×C1111yescharacteristic
969C2×C22⋊C4C23×C1111yescharacteristic
970C2×C22⋊C4C23×C1111yescharacteristic
971C2×C22⋊C4C23×C1111yescharacteristic
972C2×C22⋊C4C23×C1111yescharacteristic
973C2×C22⋊C4C23×C1111yescharacteristic
974C2×C22⋊C4C23×C1111yescharacteristic
975C2×C22⋊C4C23×C1111yescharacteristic
976C2×C22⋊C4C23×C1111yescharacteristic
977C2×C22⋊C4C23×C1111yescharacteristic
978C2×C22⋊C4C23×C1111yescharacteristic
979C2×C22⋊C4C23×C1111yescharacteristic
980C2×C22⋊C4C23×C1111yescharacteristic
981C2×C22⋊C4C23×C1111yescharacteristic
982C2×C22⋊C4C23×C1111yescharacteristic
983C2×C22⋊C4C23×C1111yescharacteristic
984C2×C22⋊C4C23×C1111yescharacteristic
985C2×C22⋊C4C23×C1111yescharacteristic
986C2×C22⋊C4C23×C1111yescharacteristic
987C2×C22⋊C4C23×C1111yescharacteristic
988C2×C22⋊C4C23×C1111yescharacteristic
989C2×C22⋊C4C23×C1111yescharacteristic
990C2×C22⋊C4C23×C1111yescharacteristic
991C2×C22⋊C4C23×C1111yescharacteristic
992C2×C22⋊C4C23×C1111yescharacteristic
993C2×C22⋊C4C23×C1111yescharacteristic
994C2×C22⋊C4C23×C1111yescharacteristic
995C2×C22⋊C4C23×C1111yescharacteristic
996C2×C22⋊C4C23×C1111yescharacteristic
997C2×C22⋊C4C23×C1111yescharacteristic
998C2×C22⋊C4C23×C1111yescharacteristic
999C2×C22⋊C4C23×C1111yescharacteristic
1000C2×C22⋊C4C23×C1111yescharacteristic
1001C2×C22⋊C4C23×C1111yescharacteristic
1002C2×C22⋊C4C23×C1111yescharacteristic
1003C2×C22⋊C4C23×C1111yescharacteristic
1004C2×C22⋊C4C23×C1111yescharacteristic
1005C2×C22⋊C4C23×C1111yescharacteristic
1006C2×C22⋊C4C23×C1111yescharacteristic
1007C2×C22⋊C4C23×C1111yescharacteristic
1008C2×C22⋊C4C23×C1111yescharacteristic
1009C2×C22⋊C4C23×C1111yescharacteristic
1010C2×C22⋊C4C23×C1111yescharacteristic
1011C2×C42C23×C1111yescharacteristic
1012C2×C42C23×C1111yescharacteristic
1013C2×C42C23×C1111yescharacteristic
1014C2×C42C23×C1111yescharacteristic
1015C2×C42C23×C1111yescharacteristic
1016C2×C42C23×C1111yescharacteristic
1017C2×C42C23×C1111yescharacteristic
1018C2×C42C23×C1111yescharacteristic
1019C2×C42C23×C1111yescharacteristic
1020C2×C42C23×C1111yescharacteristic
1021C2×C42C23×C1111yescharacteristic
1022#95C23×C1111yescharacteristic
1023#95C23×C1111yescharacteristic
1024#95C23×C1111yescharacteristic
1025#95C23×C1111yescharacteristic
1026#95C23×C1111yescharacteristic
1027#95C23×C1111yescharacteristic
1028#95C23×C1111yescharacteristic
1029#95C23×C1111yescharacteristic
1030#95C23×C1111yescharacteristic
1031#95C23×C1111yescharacteristic
1032#95C23×C1111yescharacteristic
1033#95C23×C1111yescharacteristic
1034#95C23×C1111yescharacteristic
1035#95C23×C1111yescharacteristic
1036#95C23×C1111yescharacteristic
1037#95C23×C1111yescharacteristic
1038#95C23×C1111yescharacteristic
1039#95C23×C1111yescharacteristic
1040#95C23×C1111yescharacteristic
1041#95C23×C1111yescharacteristic
1042#95C23×C1111yescharacteristic
1043#95C23×C1111yescharacteristic
1044#95C23×C1111yescharacteristic
1045#95C23×C1111yescharacteristic
1046#95C23×C1111yescharacteristic
1047#95C23×C1111yescharacteristic
1048#95C23×C1111yescharacteristic
1049#95C23×C1111yescharacteristic
1050#95C23×C1111yescharacteristic
1051#95C23×C1111yescharacteristic
1052#95C23×C1111yescharacteristic
1053#95C23×C1111yescharacteristic
1054#95C23×C1111yescharacteristic
1055#95C23×C1111yescharacteristic
1056#95C23×C1111yescharacteristic
1057#95C23×C1111yescharacteristic
1058#95C23×C1111yescharacteristic
1059#95C23×C1111yescharacteristic
1060#95C23×C1111yescharacteristic
1061#95C23×C1111yescharacteristic
1062#95C23×C1111yescharacteristic
1063#95C23×C1111yescharacteristic
1064#95C23×C1111yescharacteristic
1065#95C23×C1111yescharacteristic
1066#95C23×C1111yescharacteristic
1067#95C23×C1111yescharacteristic
1068#95C23×C1111yescharacteristic
1069#95C23×C1111yescharacteristic
1070#95C23×C1111yescharacteristic
1071#95C23×C1111yescharacteristic
1072#95C23×C1111yescharacteristic
1073#95C23×C1111yescharacteristic
1074C2×C11—42no—
1075C2×C11—42no—
1076C2×C11—42no—
1077C2×C11—81no—
1078C2×C11#345511yescharacteristic
1079C2×C11#349011yescharacteristic
1080C2×C11#349511yescharacteristic
1081C2×C11#353311yescharacteristic
1082C2×C11#353511yescharacteristic
1083C2×C11#354011yescharacteristic
1084C2×C11#354111yescharacteristic
1085C24—22no—
1086C24—22no—
1087C24—22no—
1088C24—41no—
1089C24—41no—
1090C24—41no—
1091C24—41no—
1092C24C24×C1111yescharacteristic
1093C24C24×C1111yescharacteristic
1094C24C24×C1111yescharacteristic
1095C24C24×C1111yescharacteristic
1096C2×Q8—22no—
1097C2×Q8—41no—
1098C2×Q8—41no—
1099C2×Q8—41no—
1100C2×Q8—41no—
1101C2×Q8—41no—
1102C2×Q8—41no—
1103C2×Q8—41no—
1104C2×Q8—41no—
1105C2×D4—22no—
1106C2×D4—22no—
1107C2×D4—22no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—416no—
1135C22×C4C11×#4114yes—
1136C22×C4C24×C1111yescharacteristic
1137C22×C4C24×C1111yescharacteristic
1138C22×C4C24×C1111yescharacteristic
1139C22×C4C24×C1111yescharacteristic
1140C22×C4C24×C1111yescharacteristic
1141C22×C4C24×C1111yescharacteristic
1142C22×C4C24×C1111yescharacteristic
1143C22×C4C24×C1111yescharacteristic
1144C22×C4C24×C1111yescharacteristic
1145C22×C4C24×C1111yescharacteristic
1146C22×C4C24×C1111yescharacteristic
1147C22×C4C24×C1111yescharacteristic
1148C22×C4C24×C1111yescharacteristic
1149C22×C4C24×C1111yescharacteristic
1150C22×C4C24×C1111yescharacteristic
1151C22×C4C24×C1111yescharacteristic
1152C22×C4C24×C1111yescharacteristic
1153C22×C4C24×C1111yescharacteristic
1154C22×C4C24×C1111yescharacteristic
1155C22×C4C24×C1111yescharacteristic
1156C22×C4C24×C1111yescharacteristic
1157C22×C4C24×C1111yescharacteristic
1158C22×C4C24×C1111yescharacteristic
1159C22×C4C24×C1111yescharacteristic
1160C22×C4C24×C1111yescharacteristic
1161C22×C4C24×C1111yescharacteristic
1162C22×C4C24×C1111yescharacteristic
1163C4⋊C4—22no—
1164C4⋊C4—22no—
1165C4⋊C4—22no—
1166C4⋊C4—22no—
1167C4⋊C4—22no—
1168C4⋊C4—22no—
1169C4⋊C4—22no—
1170C4⋊C4—22no—
1171C4⋊C4—22no—
1172C4⋊C4—22no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—41no—
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—41no—
1212C22⋊C4—41no—
1213C22⋊C4—41no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
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—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C22⋊C4—41no—
1240C22⋊C4—41no—
1241C42—41no—
1242C42—41no—
1243C42—41no—
1244C42—41no—
1245C42—41no—
1246C42—41no—
1247C42—41no—
1248C42—41no—
1249C42—41no—
1250C42—41no—
1251C42—41no—
1252C11#3673311yescharacteristic, direct product factor, Sylow
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—44no—
1279C23—44no—
1280C23—44no—
1281C23—44no—
1282C23—44no—
1283C23—44no—
1284C23—44no—
1285C23C2×C11×#4112yes—
1286C23C11×H(5,𝔽2)12yes—
1287C23C11×2−1+412yes—
1288C23C25×C1111yescharacteristic
1289Q8—82no—
1290Q8—82no—
1291Q8—82no—
1292D4—82no—
1293D4—82no—
1294D4—82no—
1295C2×C4—28no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—44no—
1375C2×C4—44no—
1376C2×C4—44no—
1377C2×C4—44no—
1378C2×C4—44no—
1379C2×C4—82no—
1380C2×C4C2×C11×#4112yes—
1381C2×C4C2×C11×#4112yes—
1382C2×C4C11×H(5,𝔽2)12yes—
1383C22—22no—
1384C22—22no—
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—22no—
1389C22—22no—
1390C22—22no—
1391C22—22no—
1392C22—416no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22C22×C11×#4111yescharacteristic
1413C22C2×C11×H(5,𝔽2)11yescharacteristic
1414C22C2×C11×H(5,𝔽2)11yescharacteristic
1415C22C2×C11×2−1+411yescharacteristic
1416C22C11×#58511yescharacteristic
1417C22C11×#58511yescharacteristic
1418C22C11×#58511yescharacteristic
1419C4—22no—
1420C4—22no—
1421C4—22no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C4—41no—
1439C4—41no—
1440C4—41no—
1441C4—41no—
1442C4—41no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C2—42no—
1447C2—42no—
1448C2—42no—
1449C2—81no—
1450C2C11×#345511yescharacteristic
1451C2C11×#349011yescharacteristic
1452C2C11×#349511yescharacteristic
1453C2C11×#353311yescharacteristic
1454C2C11×#353511yescharacteristic
1455C2C11×#354011yescharacteristic
1456C2C11×#354111yescharacteristic
subgroupG/H
center, socleC23×C11C25
commutator, Frattini, cosocleC23C25×C11
prime radicalC2×C11×#120C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C11×#2848C2semidirect
3. C11×#2745C2semidirect
4. C11×#2745C2semidirect
5. C11×#2744C2semidirect
6. C11×#2743C2semidirect
7. C11×#2742C2semidirect
8. C11×#2741C2semidirect
9. C11×#2736C2semidirect
10. C11×#2735C2semidirect
11. C11×#2707C2semidirect
12. C11×#2700C2semidirect
13. C11×#2698C2semidirect
14. C11×#2692C2semidirect
15. C11×#2690C2semidirect
16. C11×#2687C2semidirect
19. C11×#2665C2semidirect
20. C11×#2663C2semidirect
21. C11×#2595C2semidirect
22. C11×#2589C2semidirect
23. C11×#2589C2semidirect
24. C11×#2576C2semidirect
25. C11×#2478C2semidirect
26. C11×#2477C2semidirect
27. C11×#2475C2semidirect
28. C11×#2474C2semidirect
29. C11×#2335C2semidirect
30. C11×#2332C2semidirect
31. C11×#2280C2semidirect
34. C2×C11×#125C22semidirect
41. C2×C11×C22⋊Q8C22semidirect
45. C11×#401C22semidirect
46. C11×#400C22semidirect
47. C11×#400C22semidirect
48. C11×#400C22semidirect
49. C11×#400C22semidirect
50. C11×#400C22semidirect
51. C11×#400C22semidirect
52. C11×#400C22semidirect
53. C11×#400C22semidirect
56. C11×#399C22semidirect
57. C11×#398C22semidirect
58. C11×#398C22semidirect
59. C11×#398C22semidirect
60. C11×#398C22semidirect
61. C11×#398C22semidirect
70. C11×#397C22semidirect
71. C11×#397C22semidirect
75. C11×#396C22semidirect
76. C11×#396C22semidirect
77. C11×#395C22semidirect
78. C11×#395C22semidirect
79. C11×#395C22semidirect
80. C11×#395C22semidirect
92. C11×#393C22semidirect
93. C11×#391C22semidirect
94. C11×#391C22semidirect
95. C11×#391C22semidirect
96. C11×#391C22semidirect
97. C11×#391C22semidirect
98. C11×#391C22semidirect
101. C11×#389C22semidirect
102. C11×#389C22semidirect
103. C11×#389C22semidirect
104. C11×#389C22semidirect
122. C11×#388C22semidirect
123. C11×#388C22semidirect
124. C11×#388C22semidirect
125. C11×#388C22semidirect
126. C11×#388C22semidirect
127. C11×#388C22semidirect
128. C11×#387C22semidirect
129. C11×#387C22semidirect
130. C11×#387C22semidirect
131. C11×#387C22semidirect
132. C11×#387C22semidirect
133. C11×#387C22semidirect
134. C11×#387C22semidirect
135. C11×#387C22semidirect
136. C11×#387C22semidirect
137. C11×#387C22semidirect
138. C11×#387C22semidirect
139. C11×#387C22semidirect
140. C11×#387C22semidirect
141. C11×#387C22semidirect
142. C11×#387C22semidirect
160. C11×#385C22semidirect
161. C11×#382C22semidirect
166. C11×#381C22semidirect
179. C4×C11×C4⋊C4C22semidirect
180. C4×C11×C4⋊C4C22semidirect
181. C4×C11×C4⋊C4C22semidirect
186. C4×C11×C22⋊C4C22semidirect
357. #36733C11direct (N × H)
526. #2848C2×C11semidirect
527. #2745C2×C11semidirect
528. #2745C2×C11semidirect
529. #2744C2×C11semidirect
530. #2743C2×C11semidirect
531. #2742C2×C11semidirect
532. #2741C2×C11semidirect
533. #2736C2×C11semidirect
534. #2735C2×C11semidirect
535. #2707C2×C11semidirect
536. #2700C2×C11semidirect
537. #2698C2×C11semidirect
538. #2692C2×C11semidirect
539. #2690C2×C11semidirect
540. #2687C2×C11semidirect
543. #2665C2×C11semidirect
544. #2663C2×C11semidirect
545. #2595C2×C11semidirect
546. #2589C2×C11semidirect
547. #2589C2×C11semidirect
548. #2576C2×C11semidirect
549. #2478C2×C11semidirect
550. #2477C2×C11semidirect
551. #2475C2×C11semidirect
552. #2474C2×C11semidirect
553. #2335C2×C11semidirect
554. #2332C2×C11semidirect
555. #2280C2×C11semidirect
688. C2×#125C22×C11semidirect
695. C2×C22⋊Q8C22×C11semidirect
699. #401C22×C11semidirect
700. #400C22×C11semidirect
701. #400C22×C11semidirect
702. #400C22×C11semidirect
703. #400C22×C11semidirect
704. #400C22×C11semidirect
705. #400C22×C11semidirect
706. #400C22×C11semidirect
707. #400C22×C11semidirect
710. #399C22×C11semidirect
711. #398C22×C11semidirect
712. #398C22×C11semidirect
713. #398C22×C11semidirect
714. #398C22×C11semidirect
715. #398C22×C11semidirect
724. #397C22×C11semidirect
725. #397C22×C11semidirect
729. #396C22×C11semidirect
730. #396C22×C11semidirect
731. #395C22×C11semidirect
732. #395C22×C11semidirect
733. #395C22×C11semidirect
734. #395C22×C11semidirect
746. #393C22×C11semidirect
747. #391C22×C11semidirect
748. #391C22×C11semidirect
749. #391C22×C11semidirect
750. #391C22×C11semidirect
751. #391C22×C11semidirect
752. #391C22×C11semidirect
755. #389C22×C11semidirect
756. #389C22×C11semidirect
757. #389C22×C11semidirect
758. #389C22×C11semidirect
776. #388C22×C11semidirect
777. #388C22×C11semidirect
778. #388C22×C11semidirect
779. #388C22×C11semidirect
780. #388C22×C11semidirect
781. #388C22×C11semidirect
782. #387C22×C11semidirect
783. #387C22×C11semidirect
784. #387C22×C11semidirect
785. #387C22×C11semidirect
786. #387C22×C11semidirect
787. #387C22×C11semidirect
788. #387C22×C11semidirect
789. #387C22×C11semidirect
790. #387C22×C11semidirect
791. #387C22×C11semidirect
792. #387C22×C11semidirect
793. #387C22×C11semidirect
794. #387C22×C11semidirect
795. #387C22×C11semidirect
796. #387C22×C11semidirect
814. #385C22×C11semidirect
815. #382C22×C11semidirect
820. #381C22×C11semidirect
833. C4×C4⋊C4C22×C11semidirect
834. C4×C4⋊C4C22×C11semidirect
835. C4×C4⋊C4C22×C11semidirect
840. C4×C22⋊C4C22×C11semidirect
1252. C11#36733direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#28492
C11×#28482
C11×#27452
C11×#27442
C11×#27432
C11×#27422
C11×#27412
C11×#27362
C11×#27352
C11×#27072
C11×#27002
C11×#26982
C11×#26922
C11×#26902
C11×#26872
C11×#26852
C11×#26842
C11×#26652
C11×#26632
C11×#25952
C11×#25892
C11×#25762
C11×#24782
C11×#24772
C11×#24752
C11×#24742
C11×#23352
C11×#23322
C11×#22802
#3673311