Finite Group Databasebeta

← C11×#36735 #14613928

Subgroups — C11×#36735 #14613928

Order 2816.

1962 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2849C211yesmaximal, characteristic, complemented
2C11×#2847C211yesmaximal, characteristic, complemented
3C11×#2747C211yesmaximal, characteristic, complemented
4C11×#2740C211yesmaximal, characteristic, complemented
5C11×#2739C211yesmaximal, characteristic, complemented
6C11×#2737C211yesmaximal, characteristic, complemented
7C11×#2737C211yesmaximal, characteristic, complemented
8C11×#2717C211yesmaximal, characteristic, complemented
9C11×#2703C211yesmaximal, characteristic, complemented
10C11×#2697C211yesmaximal, characteristic, complemented
11C11×#2696C211yesmaximal, characteristic, complemented
12C11×#2693C211yesmaximal, characteristic, complemented
13C11×#2688C211yesmaximal, characteristic, complemented
14C11×#2686C211yesmaximal, characteristic, complemented
15C11×#2684C211yesmaximal, characteristic, complemented
16C11×#2678C211yesmaximal, characteristic, complemented
17C11×#2672C211yesmaximal, characteristic, complemented
18C11×#2670C211yesmaximal, characteristic, complemented
19C11×#2665C211yesmaximal, characteristic, complemented
20C11×#2661C211yesmaximal, characteristic, complemented
21C11×#2597C211yesmaximal, characteristic, complemented
22C11×#2578C211yesmaximal, characteristic, complemented
23C11×#2557C211yesmaximal, characteristic, complemented
24C11×#2557C211yesmaximal, characteristic, complemented
25C11×#2477C211yesmaximal, characteristic, complemented
26C11×#2476C211yesmaximal, characteristic, complemented
27C11×#2474C211yesmaximal, characteristic, complemented
28C11×#2471C211yesmaximal, characteristic, complemented
29C11×#2335C211yesmaximal, characteristic, complemented
30C11×#2333C211yesmaximal, characteristic, complemented
31C11×#2280C211yesmaximal, characteristic, complemented
32C24×C4×C11C2211yescharacteristic
33C2×C11×#124C2211yescharacteristic
34C2×C11×#124C2211yescharacteristic
35C2×C11×#124C2211yescharacteristic
36C2×C11×#123C2211yescharacteristic
37C2×C11×#123C2211yescharacteristic
38C2×C11×#123C2211yescharacteristic
39C2×C11×#123C2211yescharacteristic
40C2×C11×#123C2211yescharacteristic, complemented
41C2×C11×C22⋊Q8C2211yescharacteristic, complemented
42C2×C11×#121C2211yescharacteristic
43C2×C11×#121C2211yescharacteristic
44C2×C11×#121C2211yescharacteristic
45C2×C11×#121C2211yescharacteristic
46C2×C11×#120C2211yescharacteristic
47C2×C11×#120C2211yescharacteristic
48C2×C11×#120C2211yescharacteristic
49C2×C11×#117C2211yescharacteristic
50C2×C11×#117C2211yescharacteristic
51C11×#400C2211yescharacteristic, complemented
52C11×#400C2211yescharacteristic, complemented
53C11×#400C2211yescharacteristic, complemented
54C11×#400C2211yescharacteristic, complemented
55C11×#400C2211yescharacteristic, complemented
56C11×#399C2211yescharacteristic, complemented
57C11×#398C2211yescharacteristic, complemented
58C11×#398C2211yescharacteristic, complemented
59C11×#397C2211yescharacteristic
60C11×#397C2211yescharacteristic
61C11×#397C2211yescharacteristic
62C11×#397C2211yescharacteristic
63C11×#397C2211yescharacteristic
64C11×#397C2211yescharacteristic, complemented
65C11×#397C2211yescharacteristic, complemented
66C11×#397C2211yescharacteristic, complemented
67C11×#397C2211yescharacteristic, complemented
68C11×#397C2211yescharacteristic, complemented
69C11×#397C2211yescharacteristic, complemented
70C11×#397C2211yescharacteristic, complemented
71C11×#396C2211yescharacteristic
72C11×#396C2211yescharacteristic
73C11×#396C2211yescharacteristic
74C11×#396C2211yescharacteristic, complemented
75C11×#395C2211yescharacteristic, complemented
76C11×#395C2211yescharacteristic, complemented
77C11×#395C2211yescharacteristic, complemented
78C11×#394C2211yescharacteristic
79C11×#394C2211yescharacteristic
80C11×#394C2211yescharacteristic
81C11×#394C2211yescharacteristic
82C11×#394C2211yescharacteristic
83C11×#394C2211yescharacteristic
84C11×#394C2211yescharacteristic
85C11×#394C2211yescharacteristic
86C11×#394C2211yescharacteristic, complemented
87C11×#394C2211yescharacteristic, complemented
88C11×#393C2211yescharacteristic
89C11×#393C2211yescharacteristic
90C11×#393C2211yescharacteristic
91C11×#393C2211yescharacteristic, complemented
92C11×#393C2211yescharacteristic, complemented
93C11×#392C2211yescharacteristic
94C11×#392C2211yescharacteristic
95C11×#392C2211yescharacteristic
96C11×#392C2211yescharacteristic
97C11×#392C2211yescharacteristic
98C11×#392C2211yescharacteristic, complemented
99C11×#391C2211yescharacteristic, complemented
100C11×#391C2211yescharacteristic, complemented
101C11×#390C2211yescharacteristic
102C11×#390C2211yescharacteristic
103C11×#390C2211yescharacteristic
104C11×#390C2211yescharacteristic
105C11×#390C2211yescharacteristic
106C11×#390C2211yescharacteristic, complemented
107C11×#390C2211yescharacteristic, complemented
108C11×#389C2211yescharacteristic, complemented
109C11×#388C2211yescharacteristic
110C11×#388C2211yescharacteristic
111C11×#388C2211yescharacteristic
112C11×#388C2211yescharacteristic
113C11×#388C2211yescharacteristic
114C11×#388C2211yescharacteristic
115C11×#388C2211yescharacteristic
116C11×#388C2211yescharacteristic, complemented
117C11×#388C2211yescharacteristic, complemented
118C11×#388C2211yescharacteristic, complemented
119C11×#388C2211yescharacteristic, complemented
120C11×#388C2211yescharacteristic, complemented
121C11×#388C2211yescharacteristic, complemented
122C11×#388C2211yescharacteristic, complemented
123C11×#388C2211yescharacteristic, complemented
124C11×#388C2211yescharacteristic, complemented
125C11×#387C2211yescharacteristic, complemented
126C11×#387C2211yescharacteristic, complemented
127C11×#387C2211yescharacteristic, complemented
128C11×#387C2211yescharacteristic, complemented
129C11×#387C2211yescharacteristic, complemented
130C11×#387C2211yescharacteristic, complemented
131C11×#387C2211yescharacteristic, complemented
132C11×#387C2211yescharacteristic, complemented
133C11×#387C2211yescharacteristic, complemented
134C11×#387C2211yescharacteristic, complemented
135C11×#387C2211yescharacteristic, complemented
136C11×#387C2211yescharacteristic, complemented
137C11×#386C2211yescharacteristic
138C11×#386C2211yescharacteristic
139C11×#386C2211yescharacteristic
140C11×#386C2211yescharacteristic
141C11×#386C2211yescharacteristic
142C11×#386C2211yescharacteristic
143C11×#386C2211yescharacteristic
144C11×#386C2211yescharacteristic
145C11×#386C2211yescharacteristic
146C11×#386C2211yescharacteristic
147C11×#386C2211yescharacteristic
148C11×#386C2211yescharacteristic
149C11×#386C2211yescharacteristic
150C11×#386C2211yescharacteristic
151C11×#386C2211yescharacteristic
152C11×#386C2211yescharacteristic
153C11×#386C2211yescharacteristic, complemented
154C11×#386C2211yescharacteristic, complemented
155C11×#386C2211yescharacteristic, complemented
156C11×#386C2211yescharacteristic, complemented
157C11×#385C2211yescharacteristic
158C11×#385C2211yescharacteristic
159C11×#385C2211yescharacteristic
160C11×#385C2211yescharacteristic
161C11×#385C2211yescharacteristic, complemented
162C11×#385C2211yescharacteristic, complemented
163C11×#383C2211yescharacteristic, complemented
164C11×#381C2211yescharacteristic
165C11×#381C2211yescharacteristic
166C11×#381C2211yescharacteristic
167C11×#381C2211yescharacteristic
168C11×#380C2211yescharacteristic
169C11×#380C2211yescharacteristic
170C11×#380C2211yescharacteristic
171C11×#380C2211yescharacteristic
172C11×#380C2211yescharacteristic
173C11×#380C2211yescharacteristic
174C11×#380C2211yescharacteristic
175C11×#380C2211yescharacteristic, complemented
176C11×#379C2211yescharacteristic
177C11×#379C2211yescharacteristic
178C11×#379C2211yescharacteristic
179C4×C11×C4⋊C4C2211yescharacteristic, complemented
180C4×C11×C22⋊C4C2211yescharacteristic
181C4×C11×C22⋊C4C2211yescharacteristic
182C4×C11×C22⋊C4C2211yescharacteristic
183C4×C11×C22⋊C4C2211yescharacteristic
184C4×C11×C22⋊C4C2211yescharacteristic, complemented
185C4×C11×C22⋊C4C2211yescharacteristic, complemented
186C4×C11×C22⋊C4C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C22×D4×C11C2311yescharacteristic
200C22×D4×C11C2311yescharacteristic
201C22×D4×C11C2311yescharacteristic
202C23×C4×C11—24no—
203C23×C4×C11—42no—
204C23×C4×C11—42no—
205C23×C4×C11C2311yescharacteristic
206C23×C4×C11C2311yescharacteristic
207C23×C4×C11C2311yescharacteristic
208C23×C4×C11C2311yescharacteristic
209C23×C4×C11C2311yescharacteristic
210C23×C4×C11C2311yescharacteristic
211C23×C4×C11C2311yescharacteristic
212C23×C4×C11C2311yescharacteristic
213C23×C4×C11C2311yescharacteristic
214C11×#124—42no—
215C11×#124—42no—
216C11×#124—42no—
217C11×#123—24no—
218C11×#123—42no—
219C11×#123—42no—
220C11×#123—42no—
221C11×#123—42no—
222C11×C22⋊Q8—42no—
223C11×#121—24no—
224C11×#121—42no—
225C11×#121—42no—
226C11×#121—42no—
227C11×#120—42no—
228C11×#120—42no—
229C11×#120—42no—
230C11×#117—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⋊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×C11×C22⋊C4C2311yescharacteristic
295C2×C11×C22⋊C4C2311yescharacteristic
296C2×C11×C22⋊C4C2311yescharacteristic
297C2×C11×C22⋊C4C2311yescharacteristic
298C2×C11×C22⋊C4C2311yescharacteristic
299C2×C11×C22⋊C4C2311yescharacteristic
300C2×C11×C22⋊C4C2311yescharacteristic
301C2×C11×C22⋊C4C2311yescharacteristic
302C2×C11×C22⋊C4C2311yescharacteristic
303C2×C11×C22⋊C4C2311yescharacteristic
304C2×C11×C22⋊C4C2311yescharacteristic
305C2×C11×C22⋊C4C2311yescharacteristic
306C2×C11×C22⋊C4C2311yescharacteristic
307C2×C11×C22⋊C4C2311yescharacteristic
308C2×C11×C22⋊C4C2311yescharacteristic
309C2×C11×C22⋊C4C2311yescharacteristic
310C2×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
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
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11×#95C2311yescharacteristic
363#36735C1111yesmaximal, characteristic, direct product factor, Sylow
364C24×C11—22no—
365C24×C11—22no—
366C24×C11—22no—
367C24×C11—41no—
368C24×C11—41no—
369C24×C11—41no—
370C24×C11—41no—
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C24×C11C2411yescharacteristic
375C24×C11C2411yescharacteristic
376C24×C11C2411yescharacteristic
377C2×Q8×C11—41no—
378C2×Q8×C11—41no—
379C2×Q8×C11—41no—
380C2×Q8×C11—41no—
381C2×Q8×C11—41no—
382C2×Q8×C11—41no—
383C2×D4×C11—22no—
384C2×D4×C11—22no—
385C2×D4×C11—22no—
386C2×D4×C11—22no—
387C2×D4×C11—22no—
388C2×D4×C11—22no—
389C2×D4×C11—22no—
390C2×D4×C11—22no—
391C2×D4×C11—22no—
392C2×D4×C11—22no—
393C2×D4×C11—41no—
394C2×D4×C11—41no—
395C2×D4×C11—41no—
396C2×D4×C11—41no—
397C2×D4×C11—41no—
398C2×D4×C11—41no—
399C2×D4×C11—41no—
400C2×D4×C11—41no—
401C2×D4×C11—41no—
402C2×D4×C11—41no—
403C2×D4×C11—41no—
404C2×D4×C11—41no—
405C2×D4×C11—41no—
406C2×D4×C11—41no—
407C2×D4×C11—41no—
408C2×D4×C11—41no—
409C2×D4×C11—41no—
410C2×D4×C11—41no—
411C2×D4×C11—41no—
412C2×D4×C11—41no—
413C2×D4×C11—41no—
414C2×D4×C11—41no—
415C2×D4×C11—41no—
416C2×D4×C11—41no—
417C2×D4×C11—41no—
418C2×D4×C11—41no—
419C22×C4×C11—22no—
420C22×C4×C11—22no—
421C22×C4×C11—22no—
422C22×C4×C11—22no—
423C22×C4×C11—22no—
424C22×C4×C11—22no—
425C22×C4×C11—22no—
426C22×C4×C11—22no—
427C22×C4×C11—22no—
428C22×C4×C11—22no—
429C22×C4×C11—41no—
430C22×C4×C11—41no—
431C22×C4×C11—41no—
432C22×C4×C11—41no—
433C22×C4×C11—41no—
434C22×C4×C11—41no—
435C22×C4×C11—41no—
436C22×C4×C11—41no—
437C22×C4×C11—41no—
438C22×C4×C11—41no—
439C22×C4×C11—41no—
440C22×C4×C11—41no—
441C22×C4×C11—41no—
442C22×C4×C11—41no—
443C22×C4×C11—41no—
444C22×C4×C11—41no—
445C22×C4×C11—416no—
446C22×C4×C11#4114yes—
447C22×C4×C11C2411yescharacteristic
448C22×C4×C11C2411yescharacteristic
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
472C11×C4⋊C4—22no—
473C11×C4⋊C4—22no—
474C11×C4⋊C4—22no—
475C11×C4⋊C4—22no—
476C11×C4⋊C4—22no—
477C11×C4⋊C4—22no—
478C11×C4⋊C4—41no—
479C11×C4⋊C4—41no—
480C11×C4⋊C4—41no—
481C11×C4⋊C4—41no—
482C11×C4⋊C4—41no—
483C11×C4⋊C4—41no—
484C11×C4⋊C4—41no—
485C11×C4⋊C4—41no—
486C11×C4⋊C4—41no—
487C11×C4⋊C4—41no—
488C11×C4⋊C4—41no—
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×C22⋊C4—22no—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—22no—
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—41no—
513C11×C22⋊C4—41no—
514C11×C22⋊C4—41no—
515C11×C22⋊C4—41no—
516C11×C22⋊C4—41no—
517C11×C22⋊C4—41no—
518C11×C22⋊C4—41no—
519C11×C22⋊C4—41no—
520C11×C22⋊C4—41no—
521C11×C22⋊C4—41no—
522C11×C22⋊C4—41no—
523C11×C22⋊C4—41no—
524C11×C22⋊C4—41no—
525C11×C22⋊C4—41no—
526C11×C22⋊C4—41no—
527C11×C22⋊C4—41no—
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—41no—
541C11×C22⋊C4—41no—
542C11×C22⋊C4—41no—
543C11×C22⋊C4—41no—
544C11×C22⋊C4—41no—
545C11×C22⋊C4—41no—
546C11×C22⋊C4—41no—
547C11×C22⋊C4—41no—
548C11×C22⋊C4—41no—
549C11×C22⋊C4—41no—
550C42×C11—41no—
551C42×C11—41no—
552C42×C11—41no—
553C42×C11—41no—
554C42×C11—41no—
555C42×C11—41no—
556C42×C11—41no—
557C42×C11—41no—
558C42×C11—41no—
559#2849C2×C1111yescharacteristic, complemented
560#2847C2×C1111yescharacteristic, complemented
561#2747C2×C1111yescharacteristic, complemented
562#2740C2×C1111yescharacteristic, complemented
563#2739C2×C1111yescharacteristic, complemented
564#2737C2×C1111yescharacteristic, complemented
565#2737C2×C1111yescharacteristic, complemented
566#2717C2×C1111yescharacteristic, complemented
567#2703C2×C1111yescharacteristic, complemented
568#2697C2×C1111yescharacteristic, complemented
569#2696C2×C1111yescharacteristic, complemented
570#2693C2×C1111yescharacteristic, complemented
571#2688C2×C1111yescharacteristic, complemented
572#2686C2×C1111yescharacteristic, complemented
573#2684C2×C1111yescharacteristic, complemented
574#2678C2×C1111yescharacteristic, complemented
575#2672C2×C1111yescharacteristic, complemented
576#2670C2×C1111yescharacteristic, complemented
577#2665C2×C1111yescharacteristic, complemented
578#2661C2×C1111yescharacteristic, complemented
579#2597C2×C1111yescharacteristic, complemented
580#2578C2×C1111yescharacteristic, complemented
581#2557C2×C1111yescharacteristic, complemented
582#2557C2×C1111yescharacteristic, complemented
583#2477C2×C1111yescharacteristic, complemented
584#2476C2×C1111yescharacteristic, complemented
585#2474C2×C1111yescharacteristic, complemented
586#2471C2×C1111yescharacteristic, complemented
587#2335C2×C1111yescharacteristic, complemented
588#2333C2×C1111yescharacteristic, complemented
589#2280C2×C1111yescharacteristic, complemented
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
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—21no—
625C23×C11—21no—
626C23×C11—21no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—44no—
630C23×C11—44no—
631C23×C11—44no—
632C23×C11—44no—
633C23×C11—44no—
634C23×C11—44no—
635C23×C11—44no—
636C23×C11C2×#4112yes—
637C23×C11H(5,𝔽2)12yes—
638C23×C11H(5,𝔽2)12yes—
639C23×C11C2511yescharacteristic
640Q8×C11—82no—
641Q8×C11—82no—
642D4×C11—82no—
643D4×C11—82no—
644D4×C11—82no—
645D4×C11—82no—
646D4×C11—82no—
647D4×C11—82no—
648D4×C11—82no—
649D4×C11—82no—
650D4×C11—82no—
651D4×C11—82no—
652D4×C11—82no—
653D4×C11—82no—
654C2×C4×C11—28no—
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—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—44no—
728C2×C4×C11—44no—
729C2×C4×C11—44no—
730C2×C4×C11—44no—
731C2×C4×C11—44no—
732C2×C4×C11—82no—
733C2×C4×C11—82no—
734C2×C4×C11—82no—
735C2×C4×C11C2×#4112yes—
736C2×C4×C11C2×#4112yes—
737C2×C4×C11H(5,𝔽2)12yes—
738C24×C4C22×C1111yescharacteristic
739C2×#124C22×C1111yescharacteristic
740C2×#124C22×C1111yescharacteristic
741C2×#124C22×C1111yescharacteristic
742C2×#123C22×C1111yescharacteristic
743C2×#123C22×C1111yescharacteristic
744C2×#123C22×C1111yescharacteristic
745C2×#123C22×C1111yescharacteristic
746C2×#123C22×C1111yescharacteristic, complemented
747C2×C22⋊Q8C22×C1111yescharacteristic, complemented
748C2×#121C22×C1111yescharacteristic
749C2×#121C22×C1111yescharacteristic
750C2×#121C22×C1111yescharacteristic
751C2×#121C22×C1111yescharacteristic
752C2×#120C22×C1111yescharacteristic
753C2×#120C22×C1111yescharacteristic
754C2×#120C22×C1111yescharacteristic
755C2×#117C22×C1111yescharacteristic
756C2×#117C22×C1111yescharacteristic
757#400C22×C1111yescharacteristic, complemented
758#400C22×C1111yescharacteristic, complemented
759#400C22×C1111yescharacteristic, complemented
760#400C22×C1111yescharacteristic, complemented
761#400C22×C1111yescharacteristic, complemented
762#399C22×C1111yescharacteristic, complemented
763#398C22×C1111yescharacteristic, complemented
764#398C22×C1111yescharacteristic, complemented
765#397C22×C1111yescharacteristic
766#397C22×C1111yescharacteristic
767#397C22×C1111yescharacteristic
768#397C22×C1111yescharacteristic
769#397C22×C1111yescharacteristic
770#397C22×C1111yescharacteristic, complemented
771#397C22×C1111yescharacteristic, complemented
772#397C22×C1111yescharacteristic, complemented
773#397C22×C1111yescharacteristic, complemented
774#397C22×C1111yescharacteristic, complemented
775#397C22×C1111yescharacteristic, complemented
776#397C22×C1111yescharacteristic, complemented
777#396C22×C1111yescharacteristic
778#396C22×C1111yescharacteristic
779#396C22×C1111yescharacteristic
780#396C22×C1111yescharacteristic, complemented
781#395C22×C1111yescharacteristic, complemented
782#395C22×C1111yescharacteristic, complemented
783#395C22×C1111yescharacteristic, complemented
784#394C22×C1111yescharacteristic
785#394C22×C1111yescharacteristic
786#394C22×C1111yescharacteristic
787#394C22×C1111yescharacteristic
788#394C22×C1111yescharacteristic
789#394C22×C1111yescharacteristic
790#394C22×C1111yescharacteristic
791#394C22×C1111yescharacteristic
792#394C22×C1111yescharacteristic, complemented
793#394C22×C1111yescharacteristic, complemented
794#393C22×C1111yescharacteristic
795#393C22×C1111yescharacteristic
796#393C22×C1111yescharacteristic
797#393C22×C1111yescharacteristic, complemented
798#393C22×C1111yescharacteristic, complemented
799#392C22×C1111yescharacteristic
800#392C22×C1111yescharacteristic
801#392C22×C1111yescharacteristic
802#392C22×C1111yescharacteristic
803#392C22×C1111yescharacteristic
804#392C22×C1111yescharacteristic, complemented
805#391C22×C1111yescharacteristic, complemented
806#391C22×C1111yescharacteristic, complemented
807#390C22×C1111yescharacteristic
808#390C22×C1111yescharacteristic
809#390C22×C1111yescharacteristic
810#390C22×C1111yescharacteristic
811#390C22×C1111yescharacteristic
812#390C22×C1111yescharacteristic, complemented
813#390C22×C1111yescharacteristic, complemented
814#389C22×C1111yescharacteristic, complemented
815#388C22×C1111yescharacteristic
816#388C22×C1111yescharacteristic
817#388C22×C1111yescharacteristic
818#388C22×C1111yescharacteristic
819#388C22×C1111yescharacteristic
820#388C22×C1111yescharacteristic
821#388C22×C1111yescharacteristic
822#388C22×C1111yescharacteristic, complemented
823#388C22×C1111yescharacteristic, complemented
824#388C22×C1111yescharacteristic, complemented
825#388C22×C1111yescharacteristic, complemented
826#388C22×C1111yescharacteristic, complemented
827#388C22×C1111yescharacteristic, complemented
828#388C22×C1111yescharacteristic, complemented
829#388C22×C1111yescharacteristic, complemented
830#388C22×C1111yescharacteristic, complemented
831#387C22×C1111yescharacteristic, complemented
832#387C22×C1111yescharacteristic, complemented
833#387C22×C1111yescharacteristic, complemented
834#387C22×C1111yescharacteristic, complemented
835#387C22×C1111yescharacteristic, complemented
836#387C22×C1111yescharacteristic, complemented
837#387C22×C1111yescharacteristic, complemented
838#387C22×C1111yescharacteristic, complemented
839#387C22×C1111yescharacteristic, complemented
840#387C22×C1111yescharacteristic, complemented
841#387C22×C1111yescharacteristic, complemented
842#387C22×C1111yescharacteristic, complemented
843#386C22×C1111yescharacteristic
844#386C22×C1111yescharacteristic
845#386C22×C1111yescharacteristic
846#386C22×C1111yescharacteristic
847#386C22×C1111yescharacteristic
848#386C22×C1111yescharacteristic
849#386C22×C1111yescharacteristic
850#386C22×C1111yescharacteristic
851#386C22×C1111yescharacteristic
852#386C22×C1111yescharacteristic
853#386C22×C1111yescharacteristic
854#386C22×C1111yescharacteristic
855#386C22×C1111yescharacteristic
856#386C22×C1111yescharacteristic
857#386C22×C1111yescharacteristic
858#386C22×C1111yescharacteristic
859#386C22×C1111yescharacteristic, complemented
860#386C22×C1111yescharacteristic, complemented
861#386C22×C1111yescharacteristic, complemented
862#386C22×C1111yescharacteristic, complemented
863#385C22×C1111yescharacteristic
864#385C22×C1111yescharacteristic
865#385C22×C1111yescharacteristic
866#385C22×C1111yescharacteristic
867#385C22×C1111yescharacteristic, complemented
868#385C22×C1111yescharacteristic, complemented
869#383C22×C1111yescharacteristic, complemented
870#381C22×C1111yescharacteristic
871#381C22×C1111yescharacteristic
872#381C22×C1111yescharacteristic
873#381C22×C1111yescharacteristic
874#380C22×C1111yescharacteristic
875#380C22×C1111yescharacteristic
876#380C22×C1111yescharacteristic
877#380C22×C1111yescharacteristic
878#380C22×C1111yescharacteristic
879#380C22×C1111yescharacteristic
880#380C22×C1111yescharacteristic
881#380C22×C1111yescharacteristic, complemented
882#379C22×C1111yescharacteristic
883#379C22×C1111yescharacteristic
884#379C22×C1111yescharacteristic
885C4×C4⋊C4C22×C1111yescharacteristic, complemented
886C4×C22⋊C4C22×C1111yescharacteristic
887C4×C22⋊C4C22×C1111yescharacteristic
888C4×C22⋊C4C22×C1111yescharacteristic
889C4×C22⋊C4C22×C1111yescharacteristic
890C4×C22⋊C4C22×C1111yescharacteristic, complemented
891C4×C22⋊C4C22×C1111yescharacteristic, complemented
892C4×C22⋊C4C22×C1111yescharacteristic, complemented
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—416no—
903C22×C11—41no—
904C22×C11—41no—
905C22×C11—41no—
906C22×C11—41no—
907C22×C11—41no—
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—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11—41no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11—41no—
936C22×C11C22×#4111yescharacteristic
937C22×C11C2×H(5,𝔽2)11yescharacteristic
938C22×C11C2×H(5,𝔽2)11yescharacteristic
939C22×C11C2×H(5,𝔽2)11yescharacteristic
940C22×C11#58511yescharacteristic
941C22×C11#58511yescharacteristic
942C22×C11#58511yescharacteristic
943C4×C11—22no—
944C4×C11—22no—
945C4×C11—22no—
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—41no—
961C4×C11—41no—
962C4×C11—41no—
963C4×C11—41no—
964C4×C11—41no—
965C4×C11—41no—
966C4×C11—41no—
967C4×C11—41no—
968C25C23×C1111yescharacteristic
969C22×Q8C23×C1111yescharacteristic
970C22×Q8C23×C1111yescharacteristic
971C22×D4C23×C1111yescharacteristic
972C22×D4C23×C1111yescharacteristic
973C22×D4C23×C1111yescharacteristic
974C22×D4C23×C1111yescharacteristic
975C22×D4C23×C1111yescharacteristic
976C22×D4C23×C1111yescharacteristic
977C22×D4C23×C1111yescharacteristic
978C22×D4C23×C1111yescharacteristic
979C22×D4C23×C1111yescharacteristic
980C22×D4C23×C1111yescharacteristic
981C22×D4C23×C1111yescharacteristic
982C22×D4C23×C1111yescharacteristic
983C23×C4—24no—
984C23×C4—42no—
985C23×C4—42no—
986C23×C4C23×C1111yescharacteristic
987C23×C4C23×C1111yescharacteristic
988C23×C4C23×C1111yescharacteristic
989C23×C4C23×C1111yescharacteristic
990C23×C4C23×C1111yescharacteristic
991C23×C4C23×C1111yescharacteristic
992C23×C4C23×C1111yescharacteristic
993C23×C4C23×C1111yescharacteristic
994C23×C4C23×C1111yescharacteristic
995#124—42no—
996#124—42no—
997#124—42no—
998#123—24no—
999#123—42no—
1000#123—42no—
1001#123—42no—
1002#123—42no—
1003C22⋊Q8—42no—
1004#121—24no—
1005#121—42no—
1006#121—42no—
1007#121—42no—
1008#120—42no—
1009#120—42no—
1010#120—42no—
1011#117—42no—
1012#117—42no—
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×C4⋊C4C23×C1111yescharacteristic
1031C2×C4⋊C4C23×C1111yescharacteristic
1032C2×C4⋊C4C23×C1111yescharacteristic
1033C2×C4⋊C4C23×C1111yescharacteristic
1034C2×C4⋊C4C23×C1111yescharacteristic
1035C2×C4⋊C4C23×C1111yescharacteristic
1036C2×C4⋊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×C22⋊C4C23×C1111yescharacteristic
1077C2×C22⋊C4C23×C1111yescharacteristic
1078C2×C22⋊C4C23×C1111yescharacteristic
1079C2×C22⋊C4C23×C1111yescharacteristic
1080C2×C22⋊C4C23×C1111yescharacteristic
1081C2×C22⋊C4C23×C1111yescharacteristic
1082C2×C22⋊C4C23×C1111yescharacteristic
1083C2×C22⋊C4C23×C1111yescharacteristic
1084C2×C22⋊C4C23×C1111yescharacteristic
1085C2×C22⋊C4C23×C1111yescharacteristic
1086C2×C22⋊C4C23×C1111yescharacteristic
1087C2×C22⋊C4C23×C1111yescharacteristic
1088C2×C22⋊C4C23×C1111yescharacteristic
1089C2×C22⋊C4C23×C1111yescharacteristic
1090C2×C22⋊C4C23×C1111yescharacteristic
1091C2×C42C23×C1111yescharacteristic
1092C2×C42C23×C1111yescharacteristic
1093C2×C42C23×C1111yescharacteristic
1094C2×C42C23×C1111yescharacteristic
1095C2×C42C23×C1111yescharacteristic
1096C2×C42C23×C1111yescharacteristic
1097C2×C42C23×C1111yescharacteristic
1098C2×C42C23×C1111yescharacteristic
1099C2×C42C23×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
1143#95C23×C1111yescharacteristic
1144C2×C11—42no—
1145C2×C11—42no—
1146C2×C11—42no—
1147C2×C11—81no—
1148C2×C11—81no—
1149C2×C11—81no—
1150C2×C11#345511yescharacteristic
1151C2×C11#349011yescharacteristic
1152C2×C11#349411yescharacteristic
1153C2×C11#353311yescharacteristic
1154C2×C11#353411yescharacteristic
1155C2×C11#354011yescharacteristic
1156C2×C11#354211yescharacteristic
1157C24—22no—
1158C24—22no—
1159C24—22no—
1160C24—41no—
1161C24—41no—
1162C24—41no—
1163C24—41no—
1164C24C24×C1111yescharacteristic
1165C24C24×C1111yescharacteristic
1166C24C24×C1111yescharacteristic
1167C24C24×C1111yescharacteristic
1168C24C24×C1111yescharacteristic
1169C24C24×C1111yescharacteristic
1170C2×Q8—41no—
1171C2×Q8—41no—
1172C2×Q8—41no—
1173C2×Q8—41no—
1174C2×Q8—41no—
1175C2×Q8—41no—
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—22no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
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—22no—
1221C22×C4—22no—
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—416no—
1239C22×C4C11×#4114yes—
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
1260C22×C4C24×C1111yescharacteristic
1261C22×C4C24×C1111yescharacteristic
1262C22×C4C24×C1111yescharacteristic
1263C22×C4C24×C1111yescharacteristic
1264C22×C4C24×C1111yescharacteristic
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
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—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
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—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
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⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C42—41no—
1344C42—41no—
1345C42—41no—
1346C42—41no—
1347C42—41no—
1348C42—41no—
1349C42—41no—
1350C42—41no—
1351C42—41no—
1352C11#3673511yescharacteristic, direct product factor, Sylow
1353C23—21no—
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—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—44no—
1393C23—44no—
1394C23—44no—
1395C23—44no—
1396C23—44no—
1397C23—44no—
1398C23—44no—
1399C23C2×C11×#4112yes—
1400C23C11×H(5,𝔽2)12yes—
1401C23C11×H(5,𝔽2)12yes—
1402C23C25×C1111yescharacteristic
1403Q8—82no—
1404Q8—82no—
1405D4—82no—
1406D4—82no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—82no—
1413D4—82no—
1414D4—82no—
1415D4—82no—
1416D4—82no—
1417C2×C4—28no—
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—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—82no—
1496C2×C4—82no—
1497C2×C4—82no—
1498C2×C4C2×C11×#4112yes—
1499C2×C4C2×C11×#4112yes—
1500C2×C4C11×H(5,𝔽2)12yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—416no—
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—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22C22×C11×#4111yescharacteristic
1545C22C2×C11×H(5,𝔽2)11yescharacteristic
1546C22C2×C11×H(5,𝔽2)11yescharacteristic
1547C22C2×C11×H(5,𝔽2)11yescharacteristic
1548C22C11×#58511yescharacteristic
1549C22C11×#58511yescharacteristic
1550C22C11×#58511yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C2—42no—
1577C2—42no—
1578C2—42no—
1579C2—81no—
1580C2—81no—
1581C2—81no—
1582C2C11×#345511yescharacteristic
1583C2C11×#349011yescharacteristic
1584C2C11×#349411yescharacteristic
1585C2C11×#353311yescharacteristic
1586C2C11×#353411yescharacteristic
1587C2C11×#354011yescharacteristic
1588C2C11×#354211yescharacteristic
subgroupG/H
center, socleC23×C11C25
commutator, Frattini, cosocleC23C25×C11
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#2849C2semidirect
2. C11×#2847C2semidirect
3. C11×#2747C2semidirect
4. C11×#2740C2semidirect
5. C11×#2739C2semidirect
6. C11×#2737C2semidirect
7. C11×#2737C2semidirect
8. C11×#2717C2semidirect
9. C11×#2703C2semidirect
10. C11×#2697C2semidirect
11. C11×#2696C2semidirect
12. C11×#2693C2semidirect
13. C11×#2688C2semidirect
14. C11×#2686C2semidirect
15. C11×#2684C2semidirect
16. C11×#2678C2semidirect
17. C11×#2672C2semidirect
18. C11×#2670C2semidirect
19. C11×#2665C2semidirect
20. C11×#2661C2semidirect
21. C11×#2597C2semidirect
22. C11×#2578C2semidirect
23. C11×#2557C2semidirect
24. C11×#2557C2semidirect
25. C11×#2477C2semidirect
26. C11×#2476C2semidirect
27. C11×#2474C2semidirect
28. C11×#2471C2semidirect
29. C11×#2335C2semidirect
30. C11×#2333C2semidirect
31. C11×#2280C2semidirect
40. C2×C11×#123C22semidirect
41. C2×C11×C22⋊Q8C22semidirect
51. C11×#400C22semidirect
52. C11×#400C22semidirect
53. C11×#400C22semidirect
54. C11×#400C22semidirect
55. C11×#400C22semidirect
56. C11×#399C22semidirect
57. C11×#398C22semidirect
58. C11×#398C22semidirect
64. C11×#397C22semidirect
65. C11×#397C22semidirect
66. C11×#397C22semidirect
67. C11×#397C22semidirect
68. C11×#397C22semidirect
69. C11×#397C22semidirect
70. C11×#397C22semidirect
74. C11×#396C22semidirect
75. C11×#395C22semidirect
76. C11×#395C22semidirect
77. C11×#395C22semidirect
86. C11×#394C22semidirect
87. C11×#394C22semidirect
91. C11×#393C22semidirect
92. C11×#393C22semidirect
98. C11×#392C22semidirect
99. C11×#391C22semidirect
100. C11×#391C22semidirect
106. C11×#390C22semidirect
107. C11×#390C22semidirect
108. C11×#389C22semidirect
116. C11×#388C22semidirect
117. C11×#388C22semidirect
118. C11×#388C22semidirect
119. C11×#388C22semidirect
120. C11×#388C22semidirect
121. C11×#388C22semidirect
122. C11×#388C22semidirect
123. C11×#388C22semidirect
124. C11×#388C22semidirect
125. C11×#387C22semidirect
126. C11×#387C22semidirect
127. C11×#387C22semidirect
128. C11×#387C22semidirect
129. C11×#387C22semidirect
130. C11×#387C22semidirect
131. C11×#387C22semidirect
132. C11×#387C22semidirect
133. C11×#387C22semidirect
134. C11×#387C22semidirect
135. C11×#387C22semidirect
136. C11×#387C22semidirect
153. C11×#386C22semidirect
154. C11×#386C22semidirect
155. C11×#386C22semidirect
156. C11×#386C22semidirect
161. C11×#385C22semidirect
162. C11×#385C22semidirect
163. C11×#383C22semidirect
175. C11×#380C22semidirect
179. C4×C11×C4⋊C4C22semidirect
184. C4×C11×C22⋊C4C22semidirect
185. C4×C11×C22⋊C4C22semidirect
186. C4×C11×C22⋊C4C22semidirect
363. #36735C11direct (N × H)
559. #2849C2×C11semidirect
560. #2847C2×C11semidirect
561. #2747C2×C11semidirect
562. #2740C2×C11semidirect
563. #2739C2×C11semidirect
564. #2737C2×C11semidirect
565. #2737C2×C11semidirect
566. #2717C2×C11semidirect
567. #2703C2×C11semidirect
568. #2697C2×C11semidirect
569. #2696C2×C11semidirect
570. #2693C2×C11semidirect
571. #2688C2×C11semidirect
572. #2686C2×C11semidirect
573. #2684C2×C11semidirect
574. #2678C2×C11semidirect
575. #2672C2×C11semidirect
576. #2670C2×C11semidirect
577. #2665C2×C11semidirect
578. #2661C2×C11semidirect
579. #2597C2×C11semidirect
580. #2578C2×C11semidirect
581. #2557C2×C11semidirect
582. #2557C2×C11semidirect
583. #2477C2×C11semidirect
584. #2476C2×C11semidirect
585. #2474C2×C11semidirect
586. #2471C2×C11semidirect
587. #2335C2×C11semidirect
588. #2333C2×C11semidirect
589. #2280C2×C11semidirect
746. C2×#123C22×C11semidirect
747. C2×C22⋊Q8C22×C11semidirect
757. #400C22×C11semidirect
758. #400C22×C11semidirect
759. #400C22×C11semidirect
760. #400C22×C11semidirect
761. #400C22×C11semidirect
762. #399C22×C11semidirect
763. #398C22×C11semidirect
764. #398C22×C11semidirect
770. #397C22×C11semidirect
771. #397C22×C11semidirect
772. #397C22×C11semidirect
773. #397C22×C11semidirect
774. #397C22×C11semidirect
775. #397C22×C11semidirect
776. #397C22×C11semidirect
780. #396C22×C11semidirect
781. #395C22×C11semidirect
782. #395C22×C11semidirect
783. #395C22×C11semidirect
792. #394C22×C11semidirect
793. #394C22×C11semidirect
797. #393C22×C11semidirect
798. #393C22×C11semidirect
804. #392C22×C11semidirect
805. #391C22×C11semidirect
806. #391C22×C11semidirect
812. #390C22×C11semidirect
813. #390C22×C11semidirect
814. #389C22×C11semidirect
822. #388C22×C11semidirect
823. #388C22×C11semidirect
824. #388C22×C11semidirect
825. #388C22×C11semidirect
826. #388C22×C11semidirect
827. #388C22×C11semidirect
828. #388C22×C11semidirect
829. #388C22×C11semidirect
830. #388C22×C11semidirect
831. #387C22×C11semidirect
832. #387C22×C11semidirect
833. #387C22×C11semidirect
834. #387C22×C11semidirect
835. #387C22×C11semidirect
836. #387C22×C11semidirect
837. #387C22×C11semidirect
838. #387C22×C11semidirect
839. #387C22×C11semidirect
840. #387C22×C11semidirect
841. #387C22×C11semidirect
842. #387C22×C11semidirect
859. #386C22×C11semidirect
860. #386C22×C11semidirect
861. #386C22×C11semidirect
862. #386C22×C11semidirect
867. #385C22×C11semidirect
868. #385C22×C11semidirect
869. #383C22×C11semidirect
881. #380C22×C11semidirect
885. C4×C4⋊C4C22×C11semidirect
890. C4×C22⋊C4C22×C11semidirect
891. C4×C22⋊C4C22×C11semidirect
892. C4×C22⋊C4C22×C11semidirect
1352. C11#36735direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#28492
C11×#28472
C11×#27472
C11×#27402
C11×#27392
C11×#27372
C11×#27172
C11×#27032
C11×#26972
C11×#26962
C11×#26932
C11×#26882
C11×#26862
C11×#26842
C11×#26782
C11×#26722
C11×#26702
C11×#26652
C11×#26612
C11×#25972
C11×#25782
C11×#25572
C11×#24772
C11×#24762
C11×#24742
C11×#24712
C11×#23352
C11×#23332
C11×#22802
#3673511