Finite Group Databasebeta

← C11×#60010 #14637203

Subgroups — C11×#60010 #14637203

Order 2816.

2074 conjugacy classes of subgroups.

The subgroup lattice has 1614 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2768C211yesmaximal, characteristic, complemented
2C11×#2753C211yesmaximal, characteristic, complemented
3C11×#2710C211yesmaximal, characteristic, complemented
4C11×#2670C211yesmaximal, characteristic, complemented
5C11×#2602C211yesmaximal, characteristic, complemented
6C11×#2589C211yesmaximal, characteristic, complemented
7C11×#2587C211yesmaximal, characteristic, complemented
8C11×#2559C211yesmaximal, characteristic, complemented
9C11×#2554C211yesmaximal, characteristic, complemented
10C11×#2539C211yesmaximal, characteristic, complemented
11C11×#2516C211yesmaximal, characteristic, complemented
12C11×#2479C211yesmaximal, characteristic, complemented
13C11×#2476C211yesmaximal, characteristic, complemented
14C11×#2471C211yesmaximal, characteristic, complemented
15C11×#2470C211yesmaximal, characteristic, complemented
16C11×#2464C211yesmaximal, characteristic, complemented
17C11×#2464C211yesmaximal, characteristic, complemented
18C11×#2459C211yesmaximal, characteristic, complemented
19C11×#2458C211yesmaximal, characteristic, complemented
20C11×#2424C211yesmaximal, characteristic, complemented
21C11×#2414C211yesmaximal, characteristic, complemented
22C11×#2411C211yesmaximal, characteristic, complemented
23C11×#2374C211yesmaximal, characteristic, complemented
24C11×#2367C211yesmaximal, characteristic, complemented
25C11×#2363C211yesmaximal, characteristic, complemented
26C11×#2358C211yesmaximal, characteristic, complemented
27C11×#2358C211yesmaximal, characteristic, complemented
28C11×#2342C211yesmaximal, characteristic, complemented
29C4×C11×#124C211yesmaximal, characteristic, complemented
30C11×#2293C211yesmaximal, characteristic, complemented
31C11×#2293C211yesmaximal, characteristic, complemented
32C2×C11×#126C2211yescharacteristic, complemented
33C2×C11×#124C2211yescharacteristic
34C2×C11×#124C2211yescharacteristic
35C2×C11×#123C2211yescharacteristic
36C2×C11×#123C2211yescharacteristic
37C2×C11×#123C2211yescharacteristic
38C2×C11×#123C2211yescharacteristic, complemented
39C2×C11×#121C2211yescharacteristic
40C2×C11×#121C2211yescharacteristic
41C2×C11×#121C2211yescharacteristic
42C2×C11×#121C2211yescharacteristic, complemented
43C2×C11×#120C2211yescharacteristic
44C2×C11×#120C2211yescharacteristic
45C2×C11×#120C2211yescharacteristic
46C2×C4×Q8×C11C2211yescharacteristic, complemented
47C2×C4×D4×C11C2211yescharacteristic
48C2×C4×D4×C11C2211yescharacteristic
49C2×C4×D4×C11C2211yescharacteristic
50C2×C4×D4×C11C2211yescharacteristic
51C2×C4×D4×C11C2211yescharacteristic
52C2×C11×#117C2211yescharacteristic
53C2×C11×#117C2211yescharacteristic
54C2×C11×#117C2211yescharacteristic, complemented
55C2×C11×#117C2211yescharacteristic, complemented
56C22×C11×C22⋊C4C2211yescharacteristic
57C22×C11×C22⋊C4C2211yescharacteristic
58C22×C11×C22⋊C4C2211yescharacteristic
59C11×#400C2211yescharacteristic, complemented
60C11×#400C2211yescharacteristic, complemented
61C11×#399C2211yescharacteristic
62C11×#399C2211yescharacteristic
63C11×#399C2211yescharacteristic, complemented
64C11×#398C2211yescharacteristic, complemented
65C11×#398C2211yescharacteristic, complemented
66C11×#398C2211yescharacteristic, complemented
67C11×#398C2211yescharacteristic, complemented
68C11×#397C2211yescharacteristic, complemented
69C11×#397C2211yescharacteristic, complemented
70C11×#396C2211yescharacteristic
71C11×#396C2211yescharacteristic
72C11×#396C2211yescharacteristic
73C11×#394C2211yescharacteristic
74C11×#394C2211yescharacteristic
75C11×#394C2211yescharacteristic
76C11×#394C2211yescharacteristic
77C11×#394C2211yescharacteristic
78C11×#394C2211yescharacteristic
79C11×#394C2211yescharacteristic, complemented
80C11×#394C2211yescharacteristic, complemented
81C11×#394C2211yescharacteristic, complemented
82C11×#394C2211yescharacteristic, complemented
83C11×#393C2211yescharacteristic
84C11×#393C2211yescharacteristic, complemented
85C11×#392C2211yescharacteristic
86C11×#392C2211yescharacteristic
87C11×#392C2211yescharacteristic
88C11×#392C2211yescharacteristic
89C11×#392C2211yescharacteristic
90C11×#392C2211yescharacteristic
91C11×#391C2211yescharacteristic, complemented
92C11×#391C2211yescharacteristic, complemented
93C11×#390C2211yescharacteristic
94C11×#390C2211yescharacteristic
95C11×#390C2211yescharacteristic
96C11×#390C2211yescharacteristic
97C11×#390C2211yescharacteristic
98C11×#390C2211yescharacteristic
99C11×#390C2211yescharacteristic
100C11×#390C2211yescharacteristic
101C11×#390C2211yescharacteristic
102C11×#390C2211yescharacteristic
103C11×#390C2211yescharacteristic
104C11×#390C2211yescharacteristic, complemented
105C11×#390C2211yescharacteristic, complemented
106C11×#389C2211yescharacteristic, complemented
107C11×#389C2211yescharacteristic, complemented
108C11×#389C2211yescharacteristic, complemented
109C11×#389C2211yescharacteristic, complemented
110C11×#389C2211yescharacteristic, complemented
111C11×#389C2211yescharacteristic, complemented
112C11×#388C2211yescharacteristic
113C11×#388C2211yescharacteristic
114C11×#388C2211yescharacteristic
115C11×#388C2211yescharacteristic
116C11×#388C2211yescharacteristic
117C11×#388C2211yescharacteristic
118C11×#388C2211yescharacteristic
119C11×#388C2211yescharacteristic
120C11×#388C2211yescharacteristic
121C11×#388C2211yescharacteristic
122C11×#388C2211yescharacteristic
123C11×#388C2211yescharacteristic
124C11×#388C2211yescharacteristic
125C11×#388C2211yescharacteristic, complemented
126C11×#388C2211yescharacteristic, complemented
127C11×#388C2211yescharacteristic, complemented
128C11×#388C2211yescharacteristic, complemented
129C11×#388C2211yescharacteristic, complemented
130C11×#388C2211yescharacteristic, complemented
131C11×#388C2211yescharacteristic, complemented
132C11×#388C2211yescharacteristic, complemented
133C11×#388C2211yescharacteristic, complemented
134C11×#388C2211yescharacteristic, complemented
135C11×#388C2211yescharacteristic, complemented
136C11×#388C2211yescharacteristic, complemented
137C11×#388C2211yescharacteristic, complemented
138C11×#388C2211yescharacteristic, complemented
139C11×#387C2211yescharacteristic, complemented
140C11×#387C2211yescharacteristic, complemented
141C11×#387C2211yescharacteristic, complemented
142C11×#387C2211yescharacteristic, complemented
143C11×#387C2211yescharacteristic, complemented
144C11×#387C2211yescharacteristic, complemented
145C11×#386C2211yescharacteristic
146C11×#386C2211yescharacteristic
147C11×#386C2211yescharacteristic
148C11×#386C2211yescharacteristic
149C11×#386C2211yescharacteristic
150C11×#386C2211yescharacteristic
151C11×#386C2211yescharacteristic
152C11×#386C2211yescharacteristic
153C11×#386C2211yescharacteristic
154C11×#386C2211yescharacteristic, complemented
155C11×#386C2211yescharacteristic, complemented
156C11×#385C2211yescharacteristic
157C11×#385C2211yescharacteristic
158C11×#385C2211yescharacteristic
159C11×#385C2211yescharacteristic
160C11×#385C2211yescharacteristic
161C11×#385C2211yescharacteristic
162C11×#385C2211yescharacteristic
163C11×#385C2211yescharacteristic
164C11×#385C2211yescharacteristic, complemented
165C11×#382C2211yescharacteristic, complemented
166C11×#381C2211yescharacteristic
167C11×#380C2211yescharacteristic
168C11×#379C2211yescharacteristic
169C4×C11×C4⋊C4C2211yescharacteristic, complemented
170C4×C11×C4⋊C4C2211yescharacteristic, complemented
171C4×C11×C4⋊C4C2211yescharacteristic, complemented
172C4×C11×C4⋊C4C2211yescharacteristic, complemented
173C4×C11×C22⋊C4C2211yescharacteristic
174C4×C11×C22⋊C4C2211yescharacteristic
175C4×C11×C22⋊C4C2211yescharacteristic
176C4×C11×C22⋊C4C2211yescharacteristic
177C4×C11×C22⋊C4C2211yescharacteristic
178C4×C11×C22⋊C4C2211yescharacteristic
179C4×C11×C22⋊C4C2211yescharacteristic
180C4×C11×C22⋊C4C2211yescharacteristic
181C4×C11×C22⋊C4C2211yescharacteristic, complemented
182C4×C11×C22⋊C4C2211yescharacteristic, complemented
183C4×C11×C22⋊C4C2211yescharacteristic, complemented
184C4×C11×C22⋊C4C2211yescharacteristic, complemented
185C4×C11×C22⋊C4C2211yescharacteristic, complemented
186C43×C11C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C22×D4×C11C2311yescharacteristic
200C22×D4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C23×C4×C11C2311yescharacteristic
204C23×C4×C11C2311yescharacteristic
205C23×C4×C11C2311yescharacteristic
206C23×C4×C11C2311yescharacteristic
207C23×C4×C11C2311yescharacteristic
208C23×C4×C11C2311yescharacteristic
209C23×C4×C11C2311yescharacteristic
210C11×#126—42no—
211C11×#124—24no—
212C11×#124—24no—
213C11×#123—24no—
214C11×#123—42no—
215C11×#123—42no—
216C11×#123—42no—
217C11×#121—24no—
218C11×#121—42no—
219C11×#121—42no—
220C11×#121—42no—
221C11×#120—24no—
222C11×#120—24no—
223C11×#120—42no—
224C4×Q8×C11—42no—
225C4×D4×C11—24no—
226C4×D4×C11—24no—
227C4×D4×C11—42no—
228C4×D4×C11—42no—
229C4×D4×C11—42no—
230C11×#117—42no—
231C11×#117—42no—
232C11×#117—42no—
233C11×#117—42no—
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×C4⋊C4C2311yescharacteristic
257C2×C11×C4⋊C4C2311yescharacteristic
258C2×C11×C4⋊C4C2311yescharacteristic
259C2×C11×C4⋊C4C2311yescharacteristic
260C2×C11×C4⋊C4C2311yescharacteristic
261C2×C11×C22⋊C4—24no—
262C2×C11×C22⋊C4—42no—
263C2×C11×C22⋊C4—42no—
264C2×C11×C22⋊C4C2311yescharacteristic
265C2×C11×C22⋊C4C2311yescharacteristic
266C2×C11×C22⋊C4C2311yescharacteristic
267C2×C11×C22⋊C4C2311yescharacteristic
268C2×C11×C22⋊C4C2311yescharacteristic
269C2×C11×C22⋊C4C2311yescharacteristic
270C2×C11×C22⋊C4C2311yescharacteristic
271C2×C11×C22⋊C4C2311yescharacteristic
272C2×C11×C22⋊C4C2311yescharacteristic
273C2×C11×C22⋊C4C2311yescharacteristic
274C2×C11×C22⋊C4C2311yescharacteristic
275C2×C11×C22⋊C4C2311yescharacteristic
276C2×C11×C22⋊C4C2311yescharacteristic
277C2×C11×C22⋊C4C2311yescharacteristic
278C2×C11×C22⋊C4C2311yescharacteristic
279C2×C11×C22⋊C4C2311yescharacteristic
280C2×C11×C22⋊C4C2311yescharacteristic
281C2×C11×C22⋊C4C2311yescharacteristic
282C2×C11×C22⋊C4C2311yescharacteristic
283C2×C11×C22⋊C4C2311yescharacteristic
284C2×C11×C22⋊C4C2311yescharacteristic
285C2×C11×C22⋊C4C2311yescharacteristic
286C2×C11×C22⋊C4C2311yescharacteristic
287C2×C11×C22⋊C4C2311yescharacteristic
288C2×C11×C22⋊C4C2311yescharacteristic
289C2×C11×C22⋊C4C2311yescharacteristic
290C2×C11×C22⋊C4C2311yescharacteristic
291C2×C11×C22⋊C4C2311yescharacteristic
292C2×C11×C22⋊C4C2311yescharacteristic
293C2×C11×C22⋊C4C2311yescharacteristic
294C2×C11×C22⋊C4C2311yescharacteristic
295C2×C11×C22⋊C4C2311yescharacteristic
296C2×C11×C22⋊C4C2311yescharacteristic
297C2×C11×C22⋊C4C2311yescharacteristic
298C2×C11×C22⋊C4C2311yescharacteristic
299C2×C11×C22⋊C4C2311yescharacteristic
300C2×C11×C22⋊C4C2311yescharacteristic
301C2×C11×C22⋊C4C2311yescharacteristic
302C2×C11×C22⋊C4C2311yescharacteristic
303C2×C11×C22⋊C4C2311yescharacteristic
304C2×C11×C22⋊C4C2311yescharacteristic
305C2×C11×C22⋊C4C2311yescharacteristic
306C2×C11×C22⋊C4C2311yescharacteristic
307C2×C11×C22⋊C4C2311yescharacteristic
308C2×C11×C22⋊C4C2311yescharacteristic
309C2×C11×C22⋊C4C2311yescharacteristic
310C2×C11×C22⋊C4C2311yescharacteristic
311C2×C11×C22⋊C4C2311yescharacteristic
312C2×C11×C22⋊C4C2311yescharacteristic
313C2×C11×C22⋊C4C2311yescharacteristic
314C2×C11×C22⋊C4C2311yescharacteristic
315C2×C11×C22⋊C4C2311yescharacteristic
316C2×C11×C22⋊C4C2311yescharacteristic
317C2×C11×C22⋊C4C2311yescharacteristic
318C2×C42×C11C2311yescharacteristic
319C2×C42×C11C2311yescharacteristic
320C2×C42×C11C2311yescharacteristic
321C2×C42×C11C2311yescharacteristic
322C2×C42×C11C2311yescharacteristic
323C2×C42×C11C2311yescharacteristic
324C2×C42×C11C2311yescharacteristic
325C2×C42×C11C2311yescharacteristic
326C2×C42×C11C2311yescharacteristic
327C2×C42×C11C2311yescharacteristic
328C2×C42×C11C2311yescharacteristic
329C2×C42×C11C2311yescharacteristic
330C2×C42×C11C2311yescharacteristic
331C2×C42×C11C2311yescharacteristic
332C2×C42×C11C2311yescharacteristic
333C2×C42×C11C2311yescharacteristic
334C2×C42×C11C2311yescharacteristic
335C11×#95C2311yescharacteristic
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11×#95C2311yescharacteristic
339C11×#95C2311yescharacteristic
340C11×#95C2311yescharacteristic
341C11×#95C2311yescharacteristic
342C11×#95C2311yescharacteristic
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11×#95C2311yescharacteristic
363C11×#95C2311yescharacteristic
364C11×#95C2311yescharacteristic
365C11×#95C2311yescharacteristic
366C11×#95C2311yescharacteristic
367C11×#95C2311yescharacteristic
368C11×#95C2311yescharacteristic
369#60010C1111yesmaximal, characteristic, direct product factor, Sylow
370C24×C11—22no—
371C24×C11—22no—
372C24×C11—22no—
373C24×C11—41no—
374C24×C11—41no—
375C24×C11—41no—
376C24×C11—41no—
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C24×C11C2411yescharacteristic
380C24×C11C2411yescharacteristic
381C24×C11C2411yescharacteristic
382C24×C11C2411yescharacteristic
383C2×Q8×C11—22no—
384C2×Q8×C11—22no—
385C2×Q8×C11—41no—
386C2×D4×C11—22no—
387C2×D4×C11—22no—
388C2×D4×C11—22no—
389C2×D4×C11—22no—
390C2×D4×C11—22no—
391C2×D4×C11—22no—
392C2×D4×C11—22no—
393C2×D4×C11—22no—
394C2×D4×C11—22no—
395C2×D4×C11—22no—
396C2×D4×C11—22no—
397C2×D4×C11—22no—
398C2×D4×C11—22no—
399C2×D4×C11—22no—
400C2×D4×C11—22no—
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—
419C2×D4×C11—41no—
420C2×D4×C11—41no—
421C2×D4×C11—41no—
422C22×C4×C11—22no—
423C22×C4×C11—22no—
424C22×C4×C11—22no—
425C22×C4×C11—22no—
426C22×C4×C11—22no—
427C22×C4×C11—22no—
428C22×C4×C11—22no—
429C22×C4×C11—22no—
430C22×C4×C11—22no—
431C22×C4×C11—22no—
432C22×C4×C11—22no—
433C22×C4×C11—22no—
434C22×C4×C11—41no—
435C22×C4×C11—41no—
436C22×C4×C11—41no—
437C22×C4×C11—41no—
438C22×C4×C11—41no—
439C22×C4×C11—41no—
440C22×C4×C11—41no—
441C22×C4×C11—41no—
442C22×C4×C11—41no—
443C22×C4×C11—41no—
444C22×C4×C11—41no—
445C22×C4×C11—41no—
446C22×C4×C11—41no—
447C22×C4×C11—41no—
448C22×C4×C11—41no—
449C22×C4×C11C2411yescharacteristic
450C22×C4×C11C2411yescharacteristic
451C22×C4×C11C2411yescharacteristic
452C22×C4×C11C2411yescharacteristic
453C22×C4×C11C2411yescharacteristic
454C22×C4×C11C2411yescharacteristic
455C22×C4×C11C2411yescharacteristic
456C22×C4×C11C2411yescharacteristic
457C22×C4×C11C2411yescharacteristic
458C22×C4×C11C2411yescharacteristic
459C22×C4×C11C2411yescharacteristic
460C22×C4×C11C2411yescharacteristic
461C22×C4×C11C2411yescharacteristic
462C22×C4×C11C2411yescharacteristic
463C22×C4×C11C2411yescharacteristic
464C22×C4×C11C2411yescharacteristic
465C22×C4×C11C2411yescharacteristic
466C22×C4×C11C2411yescharacteristic
467C22×C4×C11C2411yescharacteristic
468C22×C4×C11C2411yescharacteristic
469C22×C4×C11C2411yescharacteristic
470C22×C4×C11C2411yescharacteristic
471C22×C4×C11C2411yescharacteristic
472C22×C4×C11C2411yescharacteristic
473C22×C4×C11C2411yescharacteristic
474C11×C4⋊C4—22no—
475C11×C4⋊C4—22no—
476C11×C4⋊C4—22no—
477C11×C4⋊C4—22no—
478C11×C4⋊C4—22no—
479C11×C4⋊C4—22no—
480C11×C4⋊C4—22no—
481C11×C4⋊C4—22no—
482C11×C4⋊C4—22no—
483C11×C4⋊C4—22no—
484C11×C4⋊C4—22no—
485C11×C4⋊C4—22no—
486C11×C4⋊C4—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×C4⋊C4—41no—
497C11×C4⋊C4—41no—
498C11×C4⋊C4—41no—
499C11×C4⋊C4—41no—
500C11×C4⋊C4—41no—
501C11×C22⋊C4—22no—
502C11×C22⋊C4—22no—
503C11×C22⋊C4—22no—
504C11×C22⋊C4—22no—
505C11×C22⋊C4—22no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4—22no—
508C11×C22⋊C4—22no—
509C11×C22⋊C4—22no—
510C11×C22⋊C4—22no—
511C11×C22⋊C4—22no—
512C11×C22⋊C4—22no—
513C11×C22⋊C4—22no—
514C11×C22⋊C4—22no—
515C11×C22⋊C4—22no—
516C11×C22⋊C4—22no—
517C11×C22⋊C4—22no—
518C11×C22⋊C4—22no—
519C11×C22⋊C4—22no—
520C11×C22⋊C4—22no—
521C11×C22⋊C4—22no—
522C11×C22⋊C4—22no—
523C11×C22⋊C4—22no—
524C11×C22⋊C4—22no—
525C11×C22⋊C4—22no—
526C11×C22⋊C4—22no—
527C11×C22⋊C4—22no—
528C11×C22⋊C4—22no—
529C11×C22⋊C4—22no—
530C11×C22⋊C4—22no—
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—
550C11×C22⋊C4—41no—
551C11×C22⋊C4—41no—
552C11×C22⋊C4#4114yes—
553C11×C22⋊C4#4114yes—
554C11×C22⋊C4#4114yes—
555C42×C11—22no—
556C42×C11—22no—
557C42×C11—22no—
558C42×C11—22no—
559C42×C11—22no—
560C42×C11—22no—
561C42×C11—22no—
562C42×C11—41no—
563C42×C11—41no—
564C42×C11—41no—
565C42×C11—41no—
566C42×C11—41no—
567C42×C11—41no—
568C42×C11—41no—
569C42×C11—41no—
570C42×C11—41no—
571C42×C11—41no—
572#2768C2×C1111yescharacteristic, complemented
573#2753C2×C1111yescharacteristic, complemented
574#2710C2×C1111yescharacteristic, complemented
575#2670C2×C1111yescharacteristic, complemented
576#2602C2×C1111yescharacteristic, complemented
577#2589C2×C1111yescharacteristic, complemented
578#2587C2×C1111yescharacteristic, complemented
579#2559C2×C1111yescharacteristic, complemented
580#2554C2×C1111yescharacteristic, complemented
581#2539C2×C1111yescharacteristic, complemented
582#2516C2×C1111yescharacteristic, complemented
583#2479C2×C1111yescharacteristic, complemented
584#2476C2×C1111yescharacteristic, complemented
585#2471C2×C1111yescharacteristic, complemented
586#2470C2×C1111yescharacteristic, complemented
587#2464C2×C1111yescharacteristic, complemented
588#2464C2×C1111yescharacteristic, complemented
589#2459C2×C1111yescharacteristic, complemented
590#2458C2×C1111yescharacteristic, complemented
591#2424C2×C1111yescharacteristic, complemented
592#2414C2×C1111yescharacteristic, complemented
593#2411C2×C1111yescharacteristic, complemented
594#2374C2×C1111yescharacteristic, complemented
595#2367C2×C1111yescharacteristic, complemented
596#2363C2×C1111yescharacteristic, complemented
597#2358C2×C1111yescharacteristic, complemented
598#2358C2×C1111yescharacteristic, complemented
599#2342C2×C1111yescharacteristic, complemented
600C4×#124C2×C1111yescharacteristic, complemented
601#2293C2×C1111yescharacteristic, complemented
602#2293C2×C1111yescharacteristic, complemented
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—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—44no—
643C23×C11—44no—
644C23×C11—44no—
645C23×C11—82no—
646C23×C11—82no—
647C23×C11—82no—
648C23×C11—82no—
649C23×C11C2×#4112yes—
650C23×C11C2×#4112yes—
651C23×C11C2×#4112yes—
652C23×C11C2511yescharacteristic
653Q8×C11—44no—
654D4×C11—44no—
655D4×C11—44no—
656D4×C11—44no—
657D4×C11—44no—
658D4×C11—44no—
659D4×C11—82no—
660D4×C11—82no—
661D4×C11—82no—
662D4×C11—82no—
663D4×C11—82no—
664D4×C11—82no—
665D4×C11—82no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—44no—
733C2×C4×C11—44no—
734C2×C4×C11—44no—
735C2×C4×C11—44no—
736C2×C4×C11—82no—
737C2×C4×C11—82no—
738C2×C4×C11—82no—
739C2×C4×C11—82no—
740C2×C4×C11—82no—
741C2×C4×C11C2×#4112yes—
742C2×C4×C11C2×#4112yes—
743C2×C4×C11C2×#4112yes—
744C2×C4×C11C2×#4112yes—
745C2×C4×C11C2×#4112yes—
746C2×C4×C11C2×#4112yes—
747C2×C4×C11H(5,𝔽2)12yes—
748C2×C4×C11H(5,𝔽2)12yes—
749C2×C4×C11H(5,𝔽2)12yes—
750C2×#126C22×C1111yescharacteristic, complemented
751C2×#124C22×C1111yescharacteristic
752C2×#124C22×C1111yescharacteristic
753C2×#123C22×C1111yescharacteristic
754C2×#123C22×C1111yescharacteristic
755C2×#123C22×C1111yescharacteristic
756C2×#123C22×C1111yescharacteristic, complemented
757C2×#121C22×C1111yescharacteristic
758C2×#121C22×C1111yescharacteristic
759C2×#121C22×C1111yescharacteristic
760C2×#121C22×C1111yescharacteristic, complemented
761C2×#120C22×C1111yescharacteristic
762C2×#120C22×C1111yescharacteristic
763C2×#120C22×C1111yescharacteristic
764C2×C4×Q8C22×C1111yescharacteristic, complemented
765C2×C4×D4C22×C1111yescharacteristic
766C2×C4×D4C22×C1111yescharacteristic
767C2×C4×D4C22×C1111yescharacteristic
768C2×C4×D4C22×C1111yescharacteristic
769C2×C4×D4C22×C1111yescharacteristic
770C2×#117C22×C1111yescharacteristic
771C2×#117C22×C1111yescharacteristic
772C2×#117C22×C1111yescharacteristic, complemented
773C2×#117C22×C1111yescharacteristic, complemented
774C22×C22⋊C4C22×C1111yescharacteristic
775C22×C22⋊C4C22×C1111yescharacteristic
776C22×C22⋊C4C22×C1111yescharacteristic
777#400C22×C1111yescharacteristic, complemented
778#400C22×C1111yescharacteristic, complemented
779#399C22×C1111yescharacteristic
780#399C22×C1111yescharacteristic
781#399C22×C1111yescharacteristic, complemented
782#398C22×C1111yescharacteristic, complemented
783#398C22×C1111yescharacteristic, complemented
784#398C22×C1111yescharacteristic, complemented
785#398C22×C1111yescharacteristic, complemented
786#397C22×C1111yescharacteristic, complemented
787#397C22×C1111yescharacteristic, complemented
788#396C22×C1111yescharacteristic
789#396C22×C1111yescharacteristic
790#396C22×C1111yescharacteristic
791#394C22×C1111yescharacteristic
792#394C22×C1111yescharacteristic
793#394C22×C1111yescharacteristic
794#394C22×C1111yescharacteristic
795#394C22×C1111yescharacteristic
796#394C22×C1111yescharacteristic
797#394C22×C1111yescharacteristic, complemented
798#394C22×C1111yescharacteristic, complemented
799#394C22×C1111yescharacteristic, complemented
800#394C22×C1111yescharacteristic, complemented
801#393C22×C1111yescharacteristic
802#393C22×C1111yescharacteristic, complemented
803#392C22×C1111yescharacteristic
804#392C22×C1111yescharacteristic
805#392C22×C1111yescharacteristic
806#392C22×C1111yescharacteristic
807#392C22×C1111yescharacteristic
808#392C22×C1111yescharacteristic
809#391C22×C1111yescharacteristic, complemented
810#391C22×C1111yescharacteristic, complemented
811#390C22×C1111yescharacteristic
812#390C22×C1111yescharacteristic
813#390C22×C1111yescharacteristic
814#390C22×C1111yescharacteristic
815#390C22×C1111yescharacteristic
816#390C22×C1111yescharacteristic
817#390C22×C1111yescharacteristic
818#390C22×C1111yescharacteristic
819#390C22×C1111yescharacteristic
820#390C22×C1111yescharacteristic
821#390C22×C1111yescharacteristic
822#390C22×C1111yescharacteristic, complemented
823#390C22×C1111yescharacteristic, complemented
824#389C22×C1111yescharacteristic, complemented
825#389C22×C1111yescharacteristic, complemented
826#389C22×C1111yescharacteristic, complemented
827#389C22×C1111yescharacteristic, complemented
828#389C22×C1111yescharacteristic, complemented
829#389C22×C1111yescharacteristic, complemented
830#388C22×C1111yescharacteristic
831#388C22×C1111yescharacteristic
832#388C22×C1111yescharacteristic
833#388C22×C1111yescharacteristic
834#388C22×C1111yescharacteristic
835#388C22×C1111yescharacteristic
836#388C22×C1111yescharacteristic
837#388C22×C1111yescharacteristic
838#388C22×C1111yescharacteristic
839#388C22×C1111yescharacteristic
840#388C22×C1111yescharacteristic
841#388C22×C1111yescharacteristic
842#388C22×C1111yescharacteristic
843#388C22×C1111yescharacteristic, complemented
844#388C22×C1111yescharacteristic, complemented
845#388C22×C1111yescharacteristic, complemented
846#388C22×C1111yescharacteristic, complemented
847#388C22×C1111yescharacteristic, complemented
848#388C22×C1111yescharacteristic, complemented
849#388C22×C1111yescharacteristic, complemented
850#388C22×C1111yescharacteristic, complemented
851#388C22×C1111yescharacteristic, complemented
852#388C22×C1111yescharacteristic, complemented
853#388C22×C1111yescharacteristic, complemented
854#388C22×C1111yescharacteristic, complemented
855#388C22×C1111yescharacteristic, complemented
856#388C22×C1111yescharacteristic, complemented
857#387C22×C1111yescharacteristic, complemented
858#387C22×C1111yescharacteristic, complemented
859#387C22×C1111yescharacteristic, complemented
860#387C22×C1111yescharacteristic, complemented
861#387C22×C1111yescharacteristic, complemented
862#387C22×C1111yescharacteristic, complemented
863#386C22×C1111yescharacteristic
864#386C22×C1111yescharacteristic
865#386C22×C1111yescharacteristic
866#386C22×C1111yescharacteristic
867#386C22×C1111yescharacteristic
868#386C22×C1111yescharacteristic
869#386C22×C1111yescharacteristic
870#386C22×C1111yescharacteristic
871#386C22×C1111yescharacteristic
872#386C22×C1111yescharacteristic, complemented
873#386C22×C1111yescharacteristic, complemented
874#385C22×C1111yescharacteristic
875#385C22×C1111yescharacteristic
876#385C22×C1111yescharacteristic
877#385C22×C1111yescharacteristic
878#385C22×C1111yescharacteristic
879#385C22×C1111yescharacteristic
880#385C22×C1111yescharacteristic
881#385C22×C1111yescharacteristic
882#385C22×C1111yescharacteristic, complemented
883#382C22×C1111yescharacteristic, complemented
884#381C22×C1111yescharacteristic
885#380C22×C1111yescharacteristic
886#379C22×C1111yescharacteristic
887C4×C4⋊C4C22×C1111yescharacteristic, complemented
888C4×C4⋊C4C22×C1111yescharacteristic, complemented
889C4×C4⋊C4C22×C1111yescharacteristic, complemented
890C4×C4⋊C4C22×C1111yescharacteristic, complemented
891C4×C22⋊C4C22×C1111yescharacteristic
892C4×C22⋊C4C22×C1111yescharacteristic
893C4×C22⋊C4C22×C1111yescharacteristic
894C4×C22⋊C4C22×C1111yescharacteristic
895C4×C22⋊C4C22×C1111yescharacteristic
896C4×C22⋊C4C22×C1111yescharacteristic
897C4×C22⋊C4C22×C1111yescharacteristic
898C4×C22⋊C4C22×C1111yescharacteristic
899C4×C22⋊C4C22×C1111yescharacteristic, complemented
900C4×C22⋊C4C22×C1111yescharacteristic, complemented
901C4×C22⋊C4C22×C1111yescharacteristic, complemented
902C4×C22⋊C4C22×C1111yescharacteristic, complemented
903C4×C22⋊C4C22×C1111yescharacteristic, complemented
904C43C22×C1111yescharacteristic, complemented
905C22×C11—22no—
906C22×C11—22no—
907C22×C11—22no—
908C22×C11—22no—
909C22×C11—22no—
910C22×C11—22no—
911C22×C11—22no—
912C22×C11—22no—
913C22×C11—22no—
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×C11—41no—
937C22×C11—41no—
938C22×C11—41no—
939C22×C11—41no—
940C22×C11—41no—
941C22×C11—41no—
942C22×C11—41no—
943C22×C11—41no—
944C22×C11—41no—
945C22×C11—41no—
946C22×C11—41no—
947C22×C11—88no—
948C22×C11C22×#4111yescharacteristic
949C22×C11C22×#4111yescharacteristic
950C22×C11C22×#4111yescharacteristic
951C22×C11C2×H(5,𝔽2)11yescharacteristic
952C22×C11C2×H(5,𝔽2)11yescharacteristic
953C22×C11C2×H(5,𝔽2)11yescharacteristic
954C22×C11#58511yescharacteristic
955C4×C11—22no—
956C4×C11—22no—
957C4×C11—22no—
958C4×C11—22no—
959C4×C11—22no—
960C4×C11—22no—
961C4×C11—22no—
962C4×C11—22no—
963C4×C11—22no—
964C4×C11—41no—
965C4×C11—41no—
966C4×C11—41no—
967C4×C11—41no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974C4×C11—41no—
975C4×C11—41no—
976C4×C11—41no—
977C4×C11—41no—
978C4×C11—41no—
979C4×C11—41no—
980C25C23×C1111yescharacteristic
981C22×Q8C23×C1111yescharacteristic
982C22×D4C23×C1111yescharacteristic
983C22×D4C23×C1111yescharacteristic
984C22×D4C23×C1111yescharacteristic
985C22×D4C23×C1111yescharacteristic
986C22×D4C23×C1111yescharacteristic
987C22×D4C23×C1111yescharacteristic
988C22×D4C23×C1111yescharacteristic
989C22×D4C23×C1111yescharacteristic
990C22×D4C23×C1111yescharacteristic
991C22×D4C23×C1111yescharacteristic
992C22×D4C23×C1111yescharacteristic
993C22×D4C23×C1111yescharacteristic
994C23×C4C23×C1111yescharacteristic
995C23×C4C23×C1111yescharacteristic
996C23×C4C23×C1111yescharacteristic
997C23×C4C23×C1111yescharacteristic
998C23×C4C23×C1111yescharacteristic
999C23×C4C23×C1111yescharacteristic
1000C23×C4C23×C1111yescharacteristic
1001C23×C4C23×C1111yescharacteristic
1002C23×C4C23×C1111yescharacteristic
1003#126—42no—
1004#124—24no—
1005#124—24no—
1006#123—24no—
1007#123—42no—
1008#123—42no—
1009#123—42no—
1010#121—24no—
1011#121—42no—
1012#121—42no—
1013#121—42no—
1014#120—24no—
1015#120—24no—
1016#120—42no—
1017C4×Q8—42no—
1018C4×D4—24no—
1019C4×D4—24no—
1020C4×D4—42no—
1021C4×D4—42no—
1022C4×D4—42no—
1023#117—42no—
1024#117—42no—
1025#117—42no—
1026#117—42no—
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×C4⋊C4C23×C1111yescharacteristic
1038C2×C4⋊C4C23×C1111yescharacteristic
1039C2×C4⋊C4C23×C1111yescharacteristic
1040C2×C4⋊C4C23×C1111yescharacteristic
1041C2×C4⋊C4C23×C1111yescharacteristic
1042C2×C4⋊C4C23×C1111yescharacteristic
1043C2×C4⋊C4C23×C1111yescharacteristic
1044C2×C4⋊C4C23×C1111yescharacteristic
1045C2×C4⋊C4C23×C1111yescharacteristic
1046C2×C4⋊C4C23×C1111yescharacteristic
1047C2×C4⋊C4C23×C1111yescharacteristic
1048C2×C4⋊C4C23×C1111yescharacteristic
1049C2×C4⋊C4C23×C1111yescharacteristic
1050C2×C4⋊C4C23×C1111yescharacteristic
1051C2×C4⋊C4C23×C1111yescharacteristic
1052C2×C4⋊C4C23×C1111yescharacteristic
1053C2×C4⋊C4C23×C1111yescharacteristic
1054C2×C22⋊C4—24no—
1055C2×C22⋊C4—42no—
1056C2×C22⋊C4—42no—
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×C22⋊C4C23×C1111yescharacteristic
1092C2×C22⋊C4C23×C1111yescharacteristic
1093C2×C22⋊C4C23×C1111yescharacteristic
1094C2×C22⋊C4C23×C1111yescharacteristic
1095C2×C22⋊C4C23×C1111yescharacteristic
1096C2×C22⋊C4C23×C1111yescharacteristic
1097C2×C22⋊C4C23×C1111yescharacteristic
1098C2×C22⋊C4C23×C1111yescharacteristic
1099C2×C22⋊C4C23×C1111yescharacteristic
1100C2×C22⋊C4C23×C1111yescharacteristic
1101C2×C22⋊C4C23×C1111yescharacteristic
1102C2×C22⋊C4C23×C1111yescharacteristic
1103C2×C22⋊C4C23×C1111yescharacteristic
1104C2×C22⋊C4C23×C1111yescharacteristic
1105C2×C22⋊C4C23×C1111yescharacteristic
1106C2×C22⋊C4C23×C1111yescharacteristic
1107C2×C22⋊C4C23×C1111yescharacteristic
1108C2×C22⋊C4C23×C1111yescharacteristic
1109C2×C22⋊C4C23×C1111yescharacteristic
1110C2×C22⋊C4C23×C1111yescharacteristic
1111C2×C42C23×C1111yescharacteristic
1112C2×C42C23×C1111yescharacteristic
1113C2×C42C23×C1111yescharacteristic
1114C2×C42C23×C1111yescharacteristic
1115C2×C42C23×C1111yescharacteristic
1116C2×C42C23×C1111yescharacteristic
1117C2×C42C23×C1111yescharacteristic
1118C2×C42C23×C1111yescharacteristic
1119C2×C42C23×C1111yescharacteristic
1120C2×C42C23×C1111yescharacteristic
1121C2×C42C23×C1111yescharacteristic
1122C2×C42C23×C1111yescharacteristic
1123C2×C42C23×C1111yescharacteristic
1124C2×C42C23×C1111yescharacteristic
1125C2×C42C23×C1111yescharacteristic
1126C2×C42C23×C1111yescharacteristic
1127C2×C42C23×C1111yescharacteristic
1128#95C23×C1111yescharacteristic
1129#95C23×C1111yescharacteristic
1130#95C23×C1111yescharacteristic
1131#95C23×C1111yescharacteristic
1132#95C23×C1111yescharacteristic
1133#95C23×C1111yescharacteristic
1134#95C23×C1111yescharacteristic
1135#95C23×C1111yescharacteristic
1136#95C23×C1111yescharacteristic
1137#95C23×C1111yescharacteristic
1138#95C23×C1111yescharacteristic
1139#95C23×C1111yescharacteristic
1140#95C23×C1111yescharacteristic
1141#95C23×C1111yescharacteristic
1142#95C23×C1111yescharacteristic
1143#95C23×C1111yescharacteristic
1144#95C23×C1111yescharacteristic
1145#95C23×C1111yescharacteristic
1146#95C23×C1111yescharacteristic
1147#95C23×C1111yescharacteristic
1148#95C23×C1111yescharacteristic
1149#95C23×C1111yescharacteristic
1150#95C23×C1111yescharacteristic
1151#95C23×C1111yescharacteristic
1152#95C23×C1111yescharacteristic
1153#95C23×C1111yescharacteristic
1154#95C23×C1111yescharacteristic
1155#95C23×C1111yescharacteristic
1156#95C23×C1111yescharacteristic
1157#95C23×C1111yescharacteristic
1158#95C23×C1111yescharacteristic
1159#95C23×C1111yescharacteristic
1160#95C23×C1111yescharacteristic
1161#95C23×C1111yescharacteristic
1162C2×C11—42no—
1163C2×C11—42no—
1164C2×C11—42no—
1165C2×C11—81no—
1166C2×C11—81no—
1167C2×C11—81no—
1168C2×C11#347511yescharacteristic
1169C2×C11#348111yescharacteristic
1170C2×C11#348111yescharacteristic
1171C2×C11#349411yescharacteristic
1172C2×C11#350811yescharacteristic
1173C2×C11#351911yescharacteristic
1174C2×C11#355811yescharacteristic
1175C24—22no—
1176C24—22no—
1177C24—22no—
1178C24—41no—
1179C24—41no—
1180C24—41no—
1181C24—41no—
1182C24C24×C1111yescharacteristic
1183C24C24×C1111yescharacteristic
1184C24C24×C1111yescharacteristic
1185C24C24×C1111yescharacteristic
1186C24C24×C1111yescharacteristic
1187C24C24×C1111yescharacteristic
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—41no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×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
1265C22×C4C24×C1111yescharacteristic
1266C22×C4C24×C1111yescharacteristic
1267C22×C4C24×C1111yescharacteristic
1268C22×C4C24×C1111yescharacteristic
1269C22×C4C24×C1111yescharacteristic
1270C22×C4C24×C1111yescharacteristic
1271C22×C4C24×C1111yescharacteristic
1272C22×C4C24×C1111yescharacteristic
1273C22×C4C24×C1111yescharacteristic
1274C22×C4C24×C1111yescharacteristic
1275C22×C4C24×C1111yescharacteristic
1276C22×C4C24×C1111yescharacteristic
1277C22×C4C24×C1111yescharacteristic
1278C22×C4C24×C1111yescharacteristic
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4C11×#4114yes—
1358C22⋊C4C11×#4114yes—
1359C22⋊C4C11×#4114yes—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—22no—
1364C42—22no—
1365C42—22no—
1366C42—22no—
1367C42—41no—
1368C42—41no—
1369C42—41no—
1370C42—41no—
1371C42—41no—
1372C42—41no—
1373C42—41no—
1374C42—41no—
1375C42—41no—
1376C42—41no—
1377C11#6001011yescharacteristic, direct product factor, Sylow
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—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—44no—
1418C23—44no—
1419C23—44no—
1420C23—82no—
1421C23—82no—
1422C23—82no—
1423C23—82no—
1424C23C2×C11×#4112yes—
1425C23C2×C11×#4112yes—
1426C23C2×C11×#4112yes—
1427C23C25×C1111yescharacteristic
1428Q8—44no—
1429D4—44no—
1430D4—44no—
1431D4—44no—
1432D4—44no—
1433D4—44no—
1434D4—82no—
1435D4—82no—
1436D4—82no—
1437D4—82no—
1438D4—82no—
1439D4—82no—
1440D4—82no—
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—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—44no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—44no—
1511C2×C4—82no—
1512C2×C4—82no—
1513C2×C4—82no—
1514C2×C4—82no—
1515C2×C4—82no—
1516C2×C4C2×C11×#4112yes—
1517C2×C4C2×C11×#4112yes—
1518C2×C4C2×C11×#4112yes—
1519C2×C4C2×C11×#4112yes—
1520C2×C4C2×C11×#4112yes—
1521C2×C4C2×C11×#4112yes—
1522C2×C4C11×H(5,𝔽2)12yes—
1523C2×C4C11×H(5,𝔽2)12yes—
1524C2×C4C11×H(5,𝔽2)12yes—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—88no—
1568C22C22×C11×#4111yescharacteristic
1569C22C22×C11×#4111yescharacteristic
1570C22C22×C11×#4111yescharacteristic
1571C22C2×C11×H(5,𝔽2)11yescharacteristic
1572C22C2×C11×H(5,𝔽2)11yescharacteristic
1573C22C2×C11×H(5,𝔽2)11yescharacteristic
1574C22C11×#58511yescharacteristic
1575C4—22no—
1576C4—22no—
1577C4—22no—
1578C4—22no—
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C2—42no—
1601C2—42no—
1602C2—42no—
1603C2—81no—
1604C2—81no—
1605C2—81no—
1606C2C11×#347511yescharacteristic
1607C2C11×#348111yescharacteristic
1608C2C11×#348111yescharacteristic
1609C2C11×#349411yescharacteristic
1610C2C11×#350811yescharacteristic
1611C2C11×#351911yescharacteristic
1612C2C11×#355811yescharacteristic
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×#2768C2semidirect
2. C11×#2753C2semidirect
3. C11×#2710C2semidirect
4. C11×#2670C2semidirect
5. C11×#2602C2semidirect
6. C11×#2589C2semidirect
7. C11×#2587C2semidirect
8. C11×#2559C2semidirect
9. C11×#2554C2semidirect
10. C11×#2539C2semidirect
11. C11×#2516C2semidirect
12. C11×#2479C2semidirect
13. C11×#2476C2semidirect
14. C11×#2471C2semidirect
15. C11×#2470C2semidirect
16. C11×#2464C2semidirect
17. C11×#2464C2semidirect
18. C11×#2459C2semidirect
19. C11×#2458C2semidirect
20. C11×#2424C2semidirect
21. C11×#2414C2semidirect
22. C11×#2411C2semidirect
23. C11×#2374C2semidirect
24. C11×#2367C2semidirect
25. C11×#2363C2semidirect
26. C11×#2358C2semidirect
27. C11×#2358C2semidirect
28. C11×#2342C2semidirect
29. C4×C11×#124C2semidirect
30. C11×#2293C2semidirect
31. C11×#2293C2semidirect
32. C2×C11×#126C22semidirect
38. C2×C11×#123C22semidirect
42. C2×C11×#121C22semidirect
46. C2×C4×Q8×C11C22semidirect
54. C2×C11×#117C22semidirect
55. C2×C11×#117C22semidirect
59. C11×#400C22semidirect
60. C11×#400C22semidirect
63. C11×#399C22semidirect
64. C11×#398C22semidirect
65. C11×#398C22semidirect
66. C11×#398C22semidirect
67. C11×#398C22semidirect
68. C11×#397C22semidirect
69. C11×#397C22semidirect
79. C11×#394C22semidirect
80. C11×#394C22semidirect
81. C11×#394C22semidirect
82. C11×#394C22semidirect
84. C11×#393C22semidirect
91. C11×#391C22semidirect
92. C11×#391C22semidirect
104. C11×#390C22semidirect
105. C11×#390C22semidirect
106. C11×#389C22semidirect
107. C11×#389C22semidirect
108. C11×#389C22semidirect
109. C11×#389C22semidirect
110. C11×#389C22semidirect
111. C11×#389C22semidirect
125. C11×#388C22semidirect
126. C11×#388C22semidirect
127. C11×#388C22semidirect
128. C11×#388C22semidirect
129. C11×#388C22semidirect
130. C11×#388C22semidirect
131. C11×#388C22semidirect
132. C11×#388C22semidirect
133. C11×#388C22semidirect
134. C11×#388C22semidirect
135. C11×#388C22semidirect
136. C11×#388C22semidirect
137. C11×#388C22semidirect
138. C11×#388C22semidirect
139. C11×#387C22semidirect
140. C11×#387C22semidirect
141. C11×#387C22semidirect
142. C11×#387C22semidirect
143. C11×#387C22semidirect
144. C11×#387C22semidirect
154. C11×#386C22semidirect
155. C11×#386C22semidirect
164. C11×#385C22semidirect
165. C11×#382C22semidirect
169. C4×C11×C4⋊C4C22semidirect
170. C4×C11×C4⋊C4C22semidirect
171. C4×C11×C4⋊C4C22semidirect
172. C4×C11×C4⋊C4C22semidirect
181. C4×C11×C22⋊C4C22semidirect
182. C4×C11×C22⋊C4C22semidirect
183. C4×C11×C22⋊C4C22semidirect
184. C4×C11×C22⋊C4C22semidirect
185. C4×C11×C22⋊C4C22semidirect
186. C43×C11C22semidirect
369. #60010C11direct (N × H)
572. #2768C2×C11semidirect
573. #2753C2×C11semidirect
574. #2710C2×C11semidirect
575. #2670C2×C11semidirect
576. #2602C2×C11semidirect
577. #2589C2×C11semidirect
578. #2587C2×C11semidirect
579. #2559C2×C11semidirect
580. #2554C2×C11semidirect
581. #2539C2×C11semidirect
582. #2516C2×C11semidirect
583. #2479C2×C11semidirect
584. #2476C2×C11semidirect
585. #2471C2×C11semidirect
586. #2470C2×C11semidirect
587. #2464C2×C11semidirect
588. #2464C2×C11semidirect
589. #2459C2×C11semidirect
590. #2458C2×C11semidirect
591. #2424C2×C11semidirect
592. #2414C2×C11semidirect
593. #2411C2×C11semidirect
594. #2374C2×C11semidirect
595. #2367C2×C11semidirect
596. #2363C2×C11semidirect
597. #2358C2×C11semidirect
598. #2358C2×C11semidirect
599. #2342C2×C11semidirect
600. C4×#124C2×C11semidirect
601. #2293C2×C11semidirect
602. #2293C2×C11semidirect
750. C2×#126C22×C11semidirect
756. C2×#123C22×C11semidirect
760. C2×#121C22×C11semidirect
764. C2×C4×Q8C22×C11semidirect
772. C2×#117C22×C11semidirect
773. C2×#117C22×C11semidirect
777. #400C22×C11semidirect
778. #400C22×C11semidirect
781. #399C22×C11semidirect
782. #398C22×C11semidirect
783. #398C22×C11semidirect
784. #398C22×C11semidirect
785. #398C22×C11semidirect
786. #397C22×C11semidirect
787. #397C22×C11semidirect
797. #394C22×C11semidirect
798. #394C22×C11semidirect
799. #394C22×C11semidirect
800. #394C22×C11semidirect
802. #393C22×C11semidirect
809. #391C22×C11semidirect
810. #391C22×C11semidirect
822. #390C22×C11semidirect
823. #390C22×C11semidirect
824. #389C22×C11semidirect
825. #389C22×C11semidirect
826. #389C22×C11semidirect
827. #389C22×C11semidirect
828. #389C22×C11semidirect
829. #389C22×C11semidirect
843. #388C22×C11semidirect
844. #388C22×C11semidirect
845. #388C22×C11semidirect
846. #388C22×C11semidirect
847. #388C22×C11semidirect
848. #388C22×C11semidirect
849. #388C22×C11semidirect
850. #388C22×C11semidirect
851. #388C22×C11semidirect
852. #388C22×C11semidirect
853. #388C22×C11semidirect
854. #388C22×C11semidirect
855. #388C22×C11semidirect
856. #388C22×C11semidirect
857. #387C22×C11semidirect
858. #387C22×C11semidirect
859. #387C22×C11semidirect
860. #387C22×C11semidirect
861. #387C22×C11semidirect
862. #387C22×C11semidirect
872. #386C22×C11semidirect
873. #386C22×C11semidirect
882. #385C22×C11semidirect
883. #382C22×C11semidirect
887. C4×C4⋊C4C22×C11semidirect
888. C4×C4⋊C4C22×C11semidirect
889. C4×C4⋊C4C22×C11semidirect
890. C4×C4⋊C4C22×C11semidirect
899. C4×C22⋊C4C22×C11semidirect
900. C4×C22⋊C4C22×C11semidirect
901. C4×C22⋊C4C22×C11semidirect
902. C4×C22⋊C4C22×C11semidirect
903. C4×C22⋊C4C22×C11semidirect
904. C43C22×C11semidirect
1377. C11#60010direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#27682
C11×#27532
C11×#27102
C11×#26702
C11×#26022
C11×#25892
C11×#25872
C11×#25592
C11×#25542
C11×#25392
C11×#25162
C11×#24792
C11×#24762
C11×#24712
C11×#24702
C11×#24642
C11×#24592
C11×#24582
C11×#24242
C11×#24142
C11×#24112
C11×#23742
C11×#23672
C11×#23632
C11×#23582
C11×#23422
C4×C11×#1242
C11×#22932
#6001011