Finite Group Databasebeta

← C11×#59943 #14637136

Subgroups — C11×#59943 #14637136

Order 2816.

2060 conjugacy classes of subgroups.

The subgroup lattice has 1546 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2798C211yesmaximal, characteristic, complemented
2C11×#2778C211yesmaximal, characteristic, complemented
3C11×#2746C211yesmaximal, characteristic, complemented
4C11×#2743C211yesmaximal, characteristic, complemented
5C11×#2598C211yesmaximal, characteristic, complemented
6C11×#2589C211yesmaximal, characteristic, complemented
7C11×#2579C211yesmaximal, characteristic, complemented
8C11×#2532C211yesmaximal, characteristic, complemented
9C11×#2527C211yesmaximal, characteristic, complemented
10C11×#2526C211yesmaximal, characteristic, complemented
11C11×#2516C211yesmaximal, characteristic, complemented
12C11×#2510C211yesmaximal, characteristic, complemented
13C11×#2498C211yesmaximal, characteristic, complemented
14C11×#2493C211yesmaximal, characteristic, complemented
15C11×#2493C211yesmaximal, characteristic, complemented
16C11×#2487C211yesmaximal, characteristic, complemented
17C11×#2483C211yesmaximal, characteristic, complemented
18C11×#2471C211yesmaximal, characteristic, complemented
19C11×#2457C211yesmaximal, characteristic, complemented
20C11×#2418C211yesmaximal, characteristic, complemented
21C11×#2418C211yesmaximal, characteristic, complemented
22C11×#2404C211yesmaximal, characteristic
23C11×#2359C211yesmaximal, characteristic, complemented
24C11×#2358C211yesmaximal, characteristic, complemented
25C11×#2358C211yesmaximal, characteristic, complemented
26C11×#2353C211yesmaximal, characteristic, complemented
27C11×#2339C211yesmaximal, characteristic, complemented
28C11×#2339C211yesmaximal, characteristic, complemented
29C11×#2290C211yesmaximal, characteristic, complemented
30C11×#2290C211yesmaximal, characteristic, complemented
31C2×C11×#388C211yesmaximal, characteristic, complemented
32C22×C11×#41C2211yescharacteristic
33C2×C11×#123C2211yescharacteristic
34C2×C11×#123C2211yescharacteristic
35C2×C11×#120C2211yescharacteristic
36C2×C11×#120C2211yescharacteristic
37C2×C4×D4×C11C2211yescharacteristic
38C2×C4×D4×C11C2211yescharacteristic
39C2×C4×D4×C11C2211yescharacteristic
40C2×C4×D4×C11C2211yescharacteristic
41C2×C4×D4×C11C2211yescharacteristic
42C2×C4×D4×C11C2211yescharacteristic
43C2×C11×#117C2211yescharacteristic, complemented
44C2×C11×#117C2211yescharacteristic, complemented
45C22×C11×C4⋊C4C2211yescharacteristic
46C22×C11×C22⋊C4C2211yescharacteristic
47C22×C11×C22⋊C4C2211yescharacteristic
48C22×C11×C22⋊C4C2211yescharacteristic
49C22×C11×C22⋊C4C2211yescharacteristic
50C22×C42×C11C2211yescharacteristic
51C11×#401C2211yescharacteristic, complemented
52C11×#401C2211yescharacteristic, complemented
53C11×#400C2211yescharacteristic, complemented
54C11×#400C2211yescharacteristic, complemented
55C11×#400C2211yescharacteristic, complemented
56C11×#400C2211yescharacteristic, complemented
57C11×#400C2211yescharacteristic, complemented
58C11×#400C2211yescharacteristic, complemented
59C11×#400C2211yescharacteristic, complemented
60C11×#400C2211yescharacteristic, complemented
61C11×#399C2211yescharacteristic
62C11×#399C2211yescharacteristic
63C11×#399C2211yescharacteristic, complemented
64C11×#399C2211yescharacteristic, complemented
65C11×#398C2211yescharacteristic, complemented
66C11×#398C2211yescharacteristic, complemented
67C11×#397C2211yescharacteristic
68C11×#397C2211yescharacteristic
69C11×#397C2211yescharacteristic
70C11×#397C2211yescharacteristic
71C11×#397C2211yescharacteristic
72C11×#397C2211yescharacteristic
73C11×#396C2211yescharacteristic, complemented
74C11×#396C2211yescharacteristic, complemented
75C11×#394C2211yescharacteristic
76C11×#394C2211yescharacteristic
77C11×#394C2211yescharacteristic
78C11×#394C2211yescharacteristic
79C11×#393C2211yescharacteristic
80C11×#393C2211yescharacteristic
81C11×#392C2211yescharacteristic
82C11×#392C2211yescharacteristic
83C11×#391C2211yescharacteristic, complemented
84C11×#391C2211yescharacteristic, complemented
85C11×#391C2211yescharacteristic, complemented
86C11×#391C2211yescharacteristic, complemented
87C11×#390C2211yescharacteristic
88C11×#390C2211yescharacteristic
89C11×#389C2211yescharacteristic, complemented
90C11×#389C2211yescharacteristic, complemented
91C11×#388C2211yescharacteristic
92C11×#388C2211yescharacteristic
93C11×#388C2211yescharacteristic
94C11×#388C2211yescharacteristic
95C11×#388C2211yescharacteristic
96C11×#388C2211yescharacteristic
97C11×#388C2211yescharacteristic
98C11×#388C2211yescharacteristic
99C11×#388C2211yescharacteristic
100C11×#388C2211yescharacteristic
101C11×#388C2211yescharacteristic
102C11×#388C2211yescharacteristic
103C11×#388C2211yescharacteristic
104C11×#388C2211yescharacteristic
105C11×#388C2211yescharacteristic
106C11×#388C2211yescharacteristic
107C11×#388C2211yescharacteristic, complemented
108C11×#388C2211yescharacteristic, complemented
109C11×#388C2211yescharacteristic, complemented
110C11×#388C2211yescharacteristic, complemented
111C11×#387C2211yescharacteristic, complemented
112C11×#387C2211yescharacteristic, complemented
113C11×#387C2211yescharacteristic, complemented
114C11×#387C2211yescharacteristic, complemented
115C11×#387C2211yescharacteristic, complemented
116C11×#387C2211yescharacteristic, complemented
117C11×#387C2211yescharacteristic, complemented
118C11×#387C2211yescharacteristic, complemented
119C11×#387C2211yescharacteristic, complemented
120C11×#387C2211yescharacteristic, complemented
121C11×#387C2211yescharacteristic, complemented
122C11×#387C2211yescharacteristic, complemented
123C11×#386C2211yescharacteristic
124C11×#386C2211yescharacteristic
125C11×#386C2211yescharacteristic
126C11×#386C2211yescharacteristic
127C11×#386C2211yescharacteristic
128C11×#386C2211yescharacteristic
129C11×#386C2211yescharacteristic
130C11×#386C2211yescharacteristic
131C11×#386C2211yescharacteristic
132C11×#386C2211yescharacteristic
133C11×#386C2211yescharacteristic
134C11×#386C2211yescharacteristic
135C11×#386C2211yescharacteristic
136C11×#386C2211yescharacteristic
137C11×#386C2211yescharacteristic
138C11×#386C2211yescharacteristic
139C11×#386C2211yescharacteristic, complemented
140C11×#386C2211yescharacteristic, complemented
141C11×#386C2211yescharacteristic, complemented
142C11×#386C2211yescharacteristic, complemented
143C11×#385C2211yescharacteristic
144C11×#385C2211yescharacteristic
145C11×#385C2211yescharacteristic
146C11×#385C2211yescharacteristic
147C11×#385C2211yescharacteristic
148C11×#385C2211yescharacteristic
149C11×#385C2211yescharacteristic
150C11×#385C2211yescharacteristic
151C11×#385C2211yescharacteristic
152C11×#385C2211yescharacteristic
153C11×#385C2211yescharacteristic, complemented
154C11×#385C2211yescharacteristic, complemented
155C11×#383C2211yescharacteristic, complemented
156C11×#383C2211yescharacteristic, complemented
157C11×#381C2211yescharacteristic
158C11×#381C2211yescharacteristic
159C11×#381C2211yescharacteristic
160C11×#381C2211yescharacteristic
161C11×#381C2211yescharacteristic
162C11×#381C2211yescharacteristic, complemented
163C11×#381C2211yescharacteristic, complemented
164C11×#380C2211yescharacteristic
165C11×#380C2211yescharacteristic
166C11×#380C2211yescharacteristic, complemented
167C11×#380C2211yescharacteristic, complemented
168C11×#380C2211yescharacteristic, complemented
169C11×#380C2211yescharacteristic, complemented
170C11×#379C2211yescharacteristic
171C4×C11×C4⋊C4C2211yescharacteristic, complemented
172C4×C11×C4⋊C4C2211yescharacteristic, complemented
173C4×C11×C22⋊C4C2211yescharacteristic
174C4×C11×C22⋊C4C2211yescharacteristic
175C4×C11×C22⋊C4C2211yescharacteristic
176C4×C11×C22⋊C4C2211yescharacteristic
177C4×C11×C22⋊C4C2211yescharacteristic, complemented
178C4×C11×C22⋊C4C2211yescharacteristic, complemented
179C4×C11×C22⋊C4C2211yescharacteristic, complemented
180C4×C11×C22⋊C4C2211yescharacteristic, complemented
181C11×#376C2211yescharacteristic, complemented
182C11×#376C2211yescharacteristic, complemented
183C2×C11×#95C2211yescharacteristic
184C2×C11×#95C2211yescharacteristic
185C2×C11×#95C2211yescharacteristic, complemented
186C2×C11×#95C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C2×C11×#41—24no—
189C2×C11×#41—24no—
190C2×C11×#41—42no—
191C22×Q8×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C23×C4×C11C2311yescharacteristic
204C23×C4×C11C2311yescharacteristic
205C23×C4×C11C2311yescharacteristic
206C23×C4×C11C2311yescharacteristic
207C23×C4×C11C2311yescharacteristic
208C23×C4×C11C2311yescharacteristic
209C23×C4×C11C2311yescharacteristic
210C23×C4×C11C2311yescharacteristic
211C23×C4×C11C2311yescharacteristic
212C23×C4×C11C2311yescharacteristic
213C11×#123—24no—
214C11×#123—42no—
215C11×#120—24no—
216C11×#120—24no—
217C4×D4×C11—24no—
218C4×D4×C11—24no—
219C4×D4×C11—24no—
220C4×D4×C11—42no—
221C4×D4×C11—42no—
222C4×D4×C11—42no—
223C11×#117—42no—
224C11×#117—42no—
225C2×C11×C4⋊C4—42no—
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C4⋊C4C2311yescharacteristic
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊C4C2311yescharacteristic
248C2×C11×C4⋊C4C2311yescharacteristic
249C2×C11×C4⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4—24no—
251C2×C11×C22⋊C4—42no—
252C2×C11×C22⋊C4—42no—
253C2×C11×C22⋊C4—42no—
254C2×C11×C22⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4C2311yescharacteristic
256C2×C11×C22⋊C4C2311yescharacteristic
257C2×C11×C22⋊C4C2311yescharacteristic
258C2×C11×C22⋊C4C2311yescharacteristic
259C2×C11×C22⋊C4C2311yescharacteristic
260C2×C11×C22⋊C4C2311yescharacteristic
261C2×C11×C22⋊C4C2311yescharacteristic
262C2×C11×C22⋊C4C2311yescharacteristic
263C2×C11×C22⋊C4C2311yescharacteristic
264C2×C11×C22⋊C4C2311yescharacteristic
265C2×C11×C22⋊C4C2311yescharacteristic
266C2×C11×C22⋊C4C2311yescharacteristic
267C2×C11×C22⋊C4C2311yescharacteristic
268C2×C11×C22⋊C4C2311yescharacteristic
269C2×C11×C22⋊C4C2311yescharacteristic
270C2×C11×C22⋊C4C2311yescharacteristic
271C2×C11×C22⋊C4C2311yescharacteristic
272C2×C11×C22⋊C4C2311yescharacteristic
273C2×C11×C22⋊C4C2311yescharacteristic
274C2×C11×C22⋊C4C2311yescharacteristic
275C2×C11×C22⋊C4C2311yescharacteristic
276C2×C11×C22⋊C4C2311yescharacteristic
277C2×C11×C22⋊C4C2311yescharacteristic
278C2×C11×C22⋊C4C2311yescharacteristic
279C2×C11×C22⋊C4C2311yescharacteristic
280C2×C11×C22⋊C4C2311yescharacteristic
281C2×C11×C22⋊C4C2311yescharacteristic
282C2×C11×C22⋊C4C2311yescharacteristic
283C2×C11×C22⋊C4C2311yescharacteristic
284C2×C11×C22⋊C4C2311yescharacteristic
285C2×C11×C22⋊C4C2311yescharacteristic
286C2×C11×C22⋊C4C2311yescharacteristic
287C2×C11×C22⋊C4C2311yescharacteristic
288C2×C11×C22⋊C4C2311yescharacteristic
289C2×C11×C22⋊C4C2311yescharacteristic
290C2×C11×C22⋊C4C2311yescharacteristic
291C2×C11×C22⋊C4C2311yescharacteristic
292C2×C11×C22⋊C4C2311yescharacteristic
293C2×C11×C22⋊C4C2311yescharacteristic
294C2×C11×C22⋊C4C2311yescharacteristic
295C2×C11×C22⋊C4C2311yescharacteristic
296C2×C11×C22⋊C4C2311yescharacteristic
297C2×C11×C22⋊C4C2311yescharacteristic
298C2×C42×C11—42no—
299C2×C42×C11C2311yescharacteristic
300C2×C42×C11C2311yescharacteristic
301C2×C42×C11C2311yescharacteristic
302C2×C42×C11C2311yescharacteristic
303C2×C42×C11C2311yescharacteristic
304C2×C42×C11C2311yescharacteristic
305C2×C42×C11C2311yescharacteristic
306C2×C42×C11C2311yescharacteristic
307C2×C42×C11C2311yescharacteristic
308C2×C42×C11C2311yescharacteristic
309C2×C42×C11C2311yescharacteristic
310C2×C42×C11C2311yescharacteristic
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11×#95C2311yescharacteristic
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11×#95C2311yescharacteristic
339C11×#95C2311yescharacteristic
340C11×#95C2311yescharacteristic
341C11×#95C2311yescharacteristic
342C11×#95C2311yescharacteristic
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11×#95C2311yescharacteristic
363#59943C1111yesmaximal, characteristic, direct product factor, Sylow
364C24×C11—22no—
365C24×C11—22no—
366C24×C11—22no—
367C24×C11—22no—
368C24×C11—41no—
369C24×C11—41no—
370C24×C11—41no—
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C24×C11C2411yescharacteristic
375C24×C11C2411yescharacteristic
376C11×#41—416no—
377C2×Q8×C11—22no—
378C2×Q8×C11—22no—
379C2×Q8×C11—41no—
380C2×D4×C11—22no—
381C2×D4×C11—22no—
382C2×D4×C11—22no—
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—41no—
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#4114yes—
400C2×D4×C11#4114yes—
401C22×C4×C11—22no—
402C22×C4×C11—22no—
403C22×C4×C11—22no—
404C22×C4×C11—22no—
405C22×C4×C11—22no—
406C22×C4×C11—22no—
407C22×C4×C11—22no—
408C22×C4×C11—22no—
409C22×C4×C11—22no—
410C22×C4×C11—22no—
411C22×C4×C11—22no—
412C22×C4×C11—22no—
413C22×C4×C11—22no—
414C22×C4×C11—22no—
415C22×C4×C11—22no—
416C22×C4×C11—22no—
417C22×C4×C11—22no—
418C22×C4×C11—22no—
419C22×C4×C11—22no—
420C22×C4×C11—22no—
421C22×C4×C11—22no—
422C22×C4×C11—41no—
423C22×C4×C11—41no—
424C22×C4×C11—41no—
425C22×C4×C11—41no—
426C22×C4×C11—41no—
427C22×C4×C11—41no—
428C22×C4×C11—41no—
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×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
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
469C11×C4⋊C4—22no—
470C11×C4⋊C4—22no—
471C11×C4⋊C4—22no—
472C11×C4⋊C4—22no—
473C11×C4⋊C4—22no—
474C11×C4⋊C4—22no—
475C11×C4⋊C4—41no—
476C11×C4⋊C4—41no—
477C11×C4⋊C4—41no—
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×C22⋊C4—22no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
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—22no—
513C11×C22⋊C4—22no—
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#4114yescomplemented
537C42×C11—22no—
538C42×C11—22no—
539C42×C11—22no—
540C42×C11—22no—
541C42×C11—22no—
542C42×C11—22no—
543C42×C11—41no—
544C42×C11—41no—
545C42×C11—41no—
546C42×C11—41no—
547C42×C11—41no—
548C42×C11—41no—
549#2798C2×C1111yescharacteristic, complemented
550#2778C2×C1111yescharacteristic, complemented
551#2746C2×C1111yescharacteristic, complemented
552#2743C2×C1111yescharacteristic, complemented
553#2598C2×C1111yescharacteristic, complemented
554#2589C2×C1111yescharacteristic, complemented
555#2579C2×C1111yescharacteristic, complemented
556#2532C2×C1111yescharacteristic, complemented
557#2527C2×C1111yescharacteristic, complemented
558#2526C2×C1111yescharacteristic, complemented
559#2516C2×C1111yescharacteristic, complemented
560#2510C2×C1111yescharacteristic, complemented
561#2498C2×C1111yescharacteristic, complemented
562#2493C2×C1111yescharacteristic, complemented
563#2493C2×C1111yescharacteristic, complemented
564#2487C2×C1111yescharacteristic, complemented
565#2483C2×C1111yescharacteristic, complemented
566#2471C2×C1111yescharacteristic, complemented
567#2457C2×C1111yescharacteristic, complemented
568#2418C2×C1111yescharacteristic, complemented
569#2418C2×C1111yescharacteristic, complemented
570#2404C2×C1111yescharacteristic
571#2359C2×C1111yescharacteristic, complemented
572#2358C2×C1111yescharacteristic, complemented
573#2358C2×C1111yescharacteristic, complemented
574#2353C2×C1111yescharacteristic, complemented
575#2339C2×C1111yescharacteristic, complemented
576#2339C2×C1111yescharacteristic, complemented
577#2290C2×C1111yescharacteristic, complemented
578#2290C2×C1111yescharacteristic, complemented
579C2×#388C2×C1111yescharacteristic, complemented
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11—21no—
588C23×C11—21no—
589C23×C11—21no—
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—44no—
610C23×C11—44no—
611C23×C11—44no—
612C23×C11—44no—
613C23×C11—82no—
614C23×C11—82no—
615C23×C11—82no—
616C23×C11C2×#4112yes—
617C23×C11C2×#4112yes—
618C23×C11C2×#4112yes—
619C23×C11C2×#4112yes—
620C23×C11C2×#4112yes—
621C23×C11H(5,𝔽2)12yes—
622C23×C11C2511yescharacteristic
623Q8×C11—44no—
624D4×C11—28no—
625D4×C11—28no—
626D4×C11—44no—
627D4×C11—44no—
628D4×C11—44no—
629D4×C11—82no—
630D4×C11—82no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—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—44no—
705C2×C4×C11—44no—
706C2×C4×C11—44no—
707C2×C4×C11—44no—
708C2×C4×C11—44no—
709C2×C4×C11—44no—
710C2×C4×C11—44no—
711C2×C4×C11—44no—
712C2×C4×C11—44no—
713C2×C4×C11—82no—
714C2×C4×C11—82no—
715C2×C4×C11—82no—
716C2×C4×C11—82no—
717C2×C4×C11—82no—
718C2×C4×C11C2×#4112yes—
719C2×C4×C11C2×#4112yes—
720C2×C4×C11C2×#4112yes—
721C2×C4×C11C2×#4112yes—
722C2×C4×C11H(5,𝔽2)12yes—
723C22×#41C22×C1111yescharacteristic
724C2×#123C22×C1111yescharacteristic
725C2×#123C22×C1111yescharacteristic
726C2×#120C22×C1111yescharacteristic
727C2×#120C22×C1111yescharacteristic
728C2×C4×D4C22×C1111yescharacteristic
729C2×C4×D4C22×C1111yescharacteristic
730C2×C4×D4C22×C1111yescharacteristic
731C2×C4×D4C22×C1111yescharacteristic
732C2×C4×D4C22×C1111yescharacteristic
733C2×C4×D4C22×C1111yescharacteristic
734C2×#117C22×C1111yescharacteristic, complemented
735C2×#117C22×C1111yescharacteristic, complemented
736C22×C4⋊C4C22×C1111yescharacteristic
737C22×C22⋊C4C22×C1111yescharacteristic
738C22×C22⋊C4C22×C1111yescharacteristic
739C22×C22⋊C4C22×C1111yescharacteristic
740C22×C22⋊C4C22×C1111yescharacteristic
741C22×C42C22×C1111yescharacteristic
742#401C22×C1111yescharacteristic, complemented
743#401C22×C1111yescharacteristic, complemented
744#400C22×C1111yescharacteristic, complemented
745#400C22×C1111yescharacteristic, complemented
746#400C22×C1111yescharacteristic, complemented
747#400C22×C1111yescharacteristic, complemented
748#400C22×C1111yescharacteristic, complemented
749#400C22×C1111yescharacteristic, complemented
750#400C22×C1111yescharacteristic, complemented
751#400C22×C1111yescharacteristic, complemented
752#399C22×C1111yescharacteristic
753#399C22×C1111yescharacteristic
754#399C22×C1111yescharacteristic, complemented
755#399C22×C1111yescharacteristic, complemented
756#398C22×C1111yescharacteristic, complemented
757#398C22×C1111yescharacteristic, complemented
758#397C22×C1111yescharacteristic
759#397C22×C1111yescharacteristic
760#397C22×C1111yescharacteristic
761#397C22×C1111yescharacteristic
762#397C22×C1111yescharacteristic
763#397C22×C1111yescharacteristic
764#396C22×C1111yescharacteristic, complemented
765#396C22×C1111yescharacteristic, complemented
766#394C22×C1111yescharacteristic
767#394C22×C1111yescharacteristic
768#394C22×C1111yescharacteristic
769#394C22×C1111yescharacteristic
770#393C22×C1111yescharacteristic
771#393C22×C1111yescharacteristic
772#392C22×C1111yescharacteristic
773#392C22×C1111yescharacteristic
774#391C22×C1111yescharacteristic, complemented
775#391C22×C1111yescharacteristic, complemented
776#391C22×C1111yescharacteristic, complemented
777#391C22×C1111yescharacteristic, complemented
778#390C22×C1111yescharacteristic
779#390C22×C1111yescharacteristic
780#389C22×C1111yescharacteristic, complemented
781#389C22×C1111yescharacteristic, complemented
782#388C22×C1111yescharacteristic
783#388C22×C1111yescharacteristic
784#388C22×C1111yescharacteristic
785#388C22×C1111yescharacteristic
786#388C22×C1111yescharacteristic
787#388C22×C1111yescharacteristic
788#388C22×C1111yescharacteristic
789#388C22×C1111yescharacteristic
790#388C22×C1111yescharacteristic
791#388C22×C1111yescharacteristic
792#388C22×C1111yescharacteristic
793#388C22×C1111yescharacteristic
794#388C22×C1111yescharacteristic
795#388C22×C1111yescharacteristic
796#388C22×C1111yescharacteristic
797#388C22×C1111yescharacteristic
798#388C22×C1111yescharacteristic, complemented
799#388C22×C1111yescharacteristic, complemented
800#388C22×C1111yescharacteristic, complemented
801#388C22×C1111yescharacteristic, complemented
802#387C22×C1111yescharacteristic, complemented
803#387C22×C1111yescharacteristic, complemented
804#387C22×C1111yescharacteristic, complemented
805#387C22×C1111yescharacteristic, complemented
806#387C22×C1111yescharacteristic, complemented
807#387C22×C1111yescharacteristic, complemented
808#387C22×C1111yescharacteristic, complemented
809#387C22×C1111yescharacteristic, complemented
810#387C22×C1111yescharacteristic, complemented
811#387C22×C1111yescharacteristic, complemented
812#387C22×C1111yescharacteristic, complemented
813#387C22×C1111yescharacteristic, complemented
814#386C22×C1111yescharacteristic
815#386C22×C1111yescharacteristic
816#386C22×C1111yescharacteristic
817#386C22×C1111yescharacteristic
818#386C22×C1111yescharacteristic
819#386C22×C1111yescharacteristic
820#386C22×C1111yescharacteristic
821#386C22×C1111yescharacteristic
822#386C22×C1111yescharacteristic
823#386C22×C1111yescharacteristic
824#386C22×C1111yescharacteristic
825#386C22×C1111yescharacteristic
826#386C22×C1111yescharacteristic
827#386C22×C1111yescharacteristic
828#386C22×C1111yescharacteristic
829#386C22×C1111yescharacteristic
830#386C22×C1111yescharacteristic, complemented
831#386C22×C1111yescharacteristic, complemented
832#386C22×C1111yescharacteristic, complemented
833#386C22×C1111yescharacteristic, complemented
834#385C22×C1111yescharacteristic
835#385C22×C1111yescharacteristic
836#385C22×C1111yescharacteristic
837#385C22×C1111yescharacteristic
838#385C22×C1111yescharacteristic
839#385C22×C1111yescharacteristic
840#385C22×C1111yescharacteristic
841#385C22×C1111yescharacteristic
842#385C22×C1111yescharacteristic
843#385C22×C1111yescharacteristic
844#385C22×C1111yescharacteristic, complemented
845#385C22×C1111yescharacteristic, complemented
846#383C22×C1111yescharacteristic, complemented
847#383C22×C1111yescharacteristic, complemented
848#381C22×C1111yescharacteristic
849#381C22×C1111yescharacteristic
850#381C22×C1111yescharacteristic
851#381C22×C1111yescharacteristic
852#381C22×C1111yescharacteristic
853#381C22×C1111yescharacteristic, complemented
854#381C22×C1111yescharacteristic, complemented
855#380C22×C1111yescharacteristic
856#380C22×C1111yescharacteristic
857#380C22×C1111yescharacteristic, complemented
858#380C22×C1111yescharacteristic, complemented
859#380C22×C1111yescharacteristic, complemented
860#380C22×C1111yescharacteristic, complemented
861#379C22×C1111yescharacteristic
862C4×C4⋊C4C22×C1111yescharacteristic, complemented
863C4×C4⋊C4C22×C1111yescharacteristic, complemented
864C4×C22⋊C4C22×C1111yescharacteristic
865C4×C22⋊C4C22×C1111yescharacteristic
866C4×C22⋊C4C22×C1111yescharacteristic
867C4×C22⋊C4C22×C1111yescharacteristic
868C4×C22⋊C4C22×C1111yescharacteristic, complemented
869C4×C22⋊C4C22×C1111yescharacteristic, complemented
870C4×C22⋊C4C22×C1111yescharacteristic, complemented
871C4×C22⋊C4C22×C1111yescharacteristic, complemented
872#376C22×C1111yescharacteristic, complemented
873#376C22×C1111yescharacteristic, complemented
874C2×#95C22×C1111yescharacteristic
875C2×#95C22×C1111yescharacteristic
876C2×#95C22×C1111yescharacteristic, complemented
877C2×#95C22×C1111yescharacteristic, complemented
878C22×C11—22no—
879C22×C11—22no—
880C22×C11—22no—
881C22×C11—22no—
882C22×C11—22no—
883C22×C11—22no—
884C22×C11—22no—
885C22×C11—22no—
886C22×C11—22no—
887C22×C11—22no—
888C22×C11—22no—
889C22×C11—22no—
890C22×C11—22no—
891C22×C11—22no—
892C22×C11—22no—
893C22×C11—41no—
894C22×C11—41no—
895C22×C11—41no—
896C22×C11—41no—
897C22×C11—41no—
898C22×C11—41no—
899C22×C11—41no—
900C22×C11—41no—
901C22×C11—41no—
902C22×C11—41no—
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—88no—
913C22×C11#55114yes—
914C22×C11C22×#4111yescharacteristic
915C22×C11C22×#4111yescharacteristic
916C22×C11C22×#4111yescharacteristic
917C22×C11C2×H(5,𝔽2)11yescharacteristic
918C22×C11C2×H(5,𝔽2)11yescharacteristic
919C22×C11#58511yescharacteristic
920C22×C11#58511yescharacteristic
921C4×C11—22no—
922C4×C11—22no—
923C4×C11—22no—
924C4×C11—22no—
925C4×C11—22no—
926C4×C11—41no—
927C4×C11—41no—
928C4×C11—41no—
929C4×C11—41no—
930C4×C11—41no—
931C4×C11—41no—
932C4×C11—41no—
933C4×C11—41no—
934C4×C11—41no—
935C4×C11—41no—
936C4×C11—41no—
937C4×C11—41no—
938C4×C11—41no—
939C4×C11—41no—
940C4×C11—41no—
941C4×C11—41no—
942C4×C11—41no—
943C4×C11—41no—
944C4×C11—41no—
945C4×C11—41no—
946C4×C11—41no—
947C25C23×C1111yescharacteristic
948C2×#41—24no—
949C2×#41—24no—
950C2×#41—42no—
951C22×Q8C23×C1111yescharacteristic
952C22×D4C23×C1111yescharacteristic
953C22×D4C23×C1111yescharacteristic
954C22×D4C23×C1111yescharacteristic
955C22×D4C23×C1111yescharacteristic
956C22×D4C23×C1111yescharacteristic
957C22×D4C23×C1111yescharacteristic
958C22×D4C23×C1111yescharacteristic
959C23×C4C23×C1111yescharacteristic
960C23×C4C23×C1111yescharacteristic
961C23×C4C23×C1111yescharacteristic
962C23×C4C23×C1111yescharacteristic
963C23×C4C23×C1111yescharacteristic
964C23×C4C23×C1111yescharacteristic
965C23×C4C23×C1111yescharacteristic
966C23×C4C23×C1111yescharacteristic
967C23×C4C23×C1111yescharacteristic
968C23×C4C23×C1111yescharacteristic
969C23×C4C23×C1111yescharacteristic
970C23×C4C23×C1111yescharacteristic
971C23×C4C23×C1111yescharacteristic
972C23×C4C23×C1111yescharacteristic
973#123—24no—
974#123—42no—
975#120—24no—
976#120—24no—
977C4×D4—24no—
978C4×D4—24no—
979C4×D4—24no—
980C4×D4—42no—
981C4×D4—42no—
982C4×D4—42no—
983#117—42no—
984#117—42no—
985C2×C4⋊C4—42no—
986C2×C4⋊C4C23×C1111yescharacteristic
987C2×C4⋊C4C23×C1111yescharacteristic
988C2×C4⋊C4C23×C1111yescharacteristic
989C2×C4⋊C4C23×C1111yescharacteristic
990C2×C4⋊C4C23×C1111yescharacteristic
991C2×C4⋊C4C23×C1111yescharacteristic
992C2×C4⋊C4C23×C1111yescharacteristic
993C2×C4⋊C4C23×C1111yescharacteristic
994C2×C4⋊C4C23×C1111yescharacteristic
995C2×C4⋊C4C23×C1111yescharacteristic
996C2×C4⋊C4C23×C1111yescharacteristic
997C2×C4⋊C4C23×C1111yescharacteristic
998C2×C4⋊C4C23×C1111yescharacteristic
999C2×C4⋊C4C23×C1111yescharacteristic
1000C2×C4⋊C4C23×C1111yescharacteristic
1001C2×C4⋊C4C23×C1111yescharacteristic
1002C2×C4⋊C4C23×C1111yescharacteristic
1003C2×C4⋊C4C23×C1111yescharacteristic
1004C2×C4⋊C4C23×C1111yescharacteristic
1005C2×C4⋊C4C23×C1111yescharacteristic
1006C2×C4⋊C4C23×C1111yescharacteristic
1007C2×C4⋊C4C23×C1111yescharacteristic
1008C2×C4⋊C4C23×C1111yescharacteristic
1009C2×C4⋊C4C23×C1111yescharacteristic
1010C2×C22⋊C4—24no—
1011C2×C22⋊C4—42no—
1012C2×C22⋊C4—42no—
1013C2×C22⋊C4—42no—
1014C2×C22⋊C4C23×C1111yescharacteristic
1015C2×C22⋊C4C23×C1111yescharacteristic
1016C2×C22⋊C4C23×C1111yescharacteristic
1017C2×C22⋊C4C23×C1111yescharacteristic
1018C2×C22⋊C4C23×C1111yescharacteristic
1019C2×C22⋊C4C23×C1111yescharacteristic
1020C2×C22⋊C4C23×C1111yescharacteristic
1021C2×C22⋊C4C23×C1111yescharacteristic
1022C2×C22⋊C4C23×C1111yescharacteristic
1023C2×C22⋊C4C23×C1111yescharacteristic
1024C2×C22⋊C4C23×C1111yescharacteristic
1025C2×C22⋊C4C23×C1111yescharacteristic
1026C2×C22⋊C4C23×C1111yescharacteristic
1027C2×C22⋊C4C23×C1111yescharacteristic
1028C2×C22⋊C4C23×C1111yescharacteristic
1029C2×C22⋊C4C23×C1111yescharacteristic
1030C2×C22⋊C4C23×C1111yescharacteristic
1031C2×C22⋊C4C23×C1111yescharacteristic
1032C2×C22⋊C4C23×C1111yescharacteristic
1033C2×C22⋊C4C23×C1111yescharacteristic
1034C2×C22⋊C4C23×C1111yescharacteristic
1035C2×C22⋊C4C23×C1111yescharacteristic
1036C2×C22⋊C4C23×C1111yescharacteristic
1037C2×C22⋊C4C23×C1111yescharacteristic
1038C2×C22⋊C4C23×C1111yescharacteristic
1039C2×C22⋊C4C23×C1111yescharacteristic
1040C2×C22⋊C4C23×C1111yescharacteristic
1041C2×C22⋊C4C23×C1111yescharacteristic
1042C2×C22⋊C4C23×C1111yescharacteristic
1043C2×C22⋊C4C23×C1111yescharacteristic
1044C2×C22⋊C4C23×C1111yescharacteristic
1045C2×C22⋊C4C23×C1111yescharacteristic
1046C2×C22⋊C4C23×C1111yescharacteristic
1047C2×C22⋊C4C23×C1111yescharacteristic
1048C2×C22⋊C4C23×C1111yescharacteristic
1049C2×C22⋊C4C23×C1111yescharacteristic
1050C2×C22⋊C4C23×C1111yescharacteristic
1051C2×C22⋊C4C23×C1111yescharacteristic
1052C2×C22⋊C4C23×C1111yescharacteristic
1053C2×C22⋊C4C23×C1111yescharacteristic
1054C2×C22⋊C4C23×C1111yescharacteristic
1055C2×C22⋊C4C23×C1111yescharacteristic
1056C2×C22⋊C4C23×C1111yescharacteristic
1057C2×C22⋊C4C23×C1111yescharacteristic
1058C2×C42—42no—
1059C2×C42C23×C1111yescharacteristic
1060C2×C42C23×C1111yescharacteristic
1061C2×C42C23×C1111yescharacteristic
1062C2×C42C23×C1111yescharacteristic
1063C2×C42C23×C1111yescharacteristic
1064C2×C42C23×C1111yescharacteristic
1065C2×C42C23×C1111yescharacteristic
1066C2×C42C23×C1111yescharacteristic
1067C2×C42C23×C1111yescharacteristic
1068C2×C42C23×C1111yescharacteristic
1069C2×C42C23×C1111yescharacteristic
1070C2×C42C23×C1111yescharacteristic
1071#95C23×C1111yescharacteristic
1072#95C23×C1111yescharacteristic
1073#95C23×C1111yescharacteristic
1074#95C23×C1111yescharacteristic
1075#95C23×C1111yescharacteristic
1076#95C23×C1111yescharacteristic
1077#95C23×C1111yescharacteristic
1078#95C23×C1111yescharacteristic
1079#95C23×C1111yescharacteristic
1080#95C23×C1111yescharacteristic
1081#95C23×C1111yescharacteristic
1082#95C23×C1111yescharacteristic
1083#95C23×C1111yescharacteristic
1084#95C23×C1111yescharacteristic
1085#95C23×C1111yescharacteristic
1086#95C23×C1111yescharacteristic
1087#95C23×C1111yescharacteristic
1088#95C23×C1111yescharacteristic
1089#95C23×C1111yescharacteristic
1090#95C23×C1111yescharacteristic
1091#95C23×C1111yescharacteristic
1092#95C23×C1111yescharacteristic
1093#95C23×C1111yescharacteristic
1094#95C23×C1111yescharacteristic
1095#95C23×C1111yescharacteristic
1096#95C23×C1111yescharacteristic
1097#95C23×C1111yescharacteristic
1098#95C23×C1111yescharacteristic
1099#95C23×C1111yescharacteristic
1100#95C23×C1111yescharacteristic
1101#95C23×C1111yescharacteristic
1102#95C23×C1111yescharacteristic
1103#95C23×C1111yescharacteristic
1104#95C23×C1111yescharacteristic
1105#95C23×C1111yescharacteristic
1106#95C23×C1111yescharacteristic
1107#95C23×C1111yescharacteristic
1108#95C23×C1111yescharacteristic
1109#95C23×C1111yescharacteristic
1110#95C23×C1111yescharacteristic
1111#95C23×C1111yescharacteristic
1112#95C23×C1111yescharacteristic
1113#95C23×C1111yescharacteristic
1114#95C23×C1111yescharacteristic
1115#95C23×C1111yescharacteristic
1116#95C23×C1111yescharacteristic
1117#95C23×C1111yescharacteristic
1118#95C23×C1111yescharacteristic
1119#95C23×C1111yescharacteristic
1120#95C23×C1111yescharacteristic
1121#95C23×C1111yescharacteristic
1122#95C23×C1111yescharacteristic
1123C2×C11—24no—
1124C2×C11—42no—
1125C2×C11—42no—
1126C2×C11—42no—
1127C2×C11—81no—
1128C2×C11C2×#55111yescharacteristic
1129C2×C11#347511yescharacteristic
1130C2×C11#348111yescharacteristic
1131C2×C11#351311yescharacteristic
1132C2×C11#351311yescharacteristic
1133C2×C11#352111yescharacteristic
1134C2×C11#354211yescharacteristic
1135C24—22no—
1136C24—22no—
1137C24—22no—
1138C24—22no—
1139C24—41no—
1140C24—41no—
1141C24—41no—
1142C24C24×C1111yescharacteristic
1143C24C24×C1111yescharacteristic
1144C24C24×C1111yescharacteristic
1145C24C24×C1111yescharacteristic
1146C24C24×C1111yescharacteristic
1147#41—416no—
1148C2×Q8—22no—
1149C2×Q8—22no—
1150C2×Q8—41no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C2×D4—41no—
1170C2×D4C11×#4114yes—
1171C2×D4C11×#4114yes—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4C24×C1111yescharacteristic
1215C22×C4C24×C1111yescharacteristic
1216C22×C4C24×C1111yescharacteristic
1217C22×C4C24×C1111yescharacteristic
1218C22×C4C24×C1111yescharacteristic
1219C22×C4C24×C1111yescharacteristic
1220C22×C4C24×C1111yescharacteristic
1221C22×C4C24×C1111yescharacteristic
1222C22×C4C24×C1111yescharacteristic
1223C22×C4C24×C1111yescharacteristic
1224C22×C4C24×C1111yescharacteristic
1225C22×C4C24×C1111yescharacteristic
1226C22×C4C24×C1111yescharacteristic
1227C22×C4C24×C1111yescharacteristic
1228C22×C4C24×C1111yescharacteristic
1229C22×C4C24×C1111yescharacteristic
1230C22×C4C24×C1111yescharacteristic
1231C22×C4C24×C1111yescharacteristic
1232C22×C4C24×C1111yescharacteristic
1233C22×C4C24×C1111yescharacteristic
1234C22×C4C24×C1111yescharacteristic
1235C22×C4C24×C1111yescharacteristic
1236C22×C4C24×C1111yescharacteristic
1237C22×C4C24×C1111yescharacteristic
1238C22×C4C24×C1111yescharacteristic
1239C22×C4C24×C1111yescharacteristic
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4C11×#4114yescomplemented
1308C42—22no—
1309C42—22no—
1310C42—22no—
1311C42—22no—
1312C42—22no—
1313C42—22no—
1314C42—41no—
1315C42—41no—
1316C42—41no—
1317C42—41no—
1318C42—41no—
1319C42—41no—
1320C11#5994311yescharacteristic, direct product factor, Sylow
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—44no—
1351C23—44no—
1352C23—44no—
1353C23—44no—
1354C23—82no—
1355C23—82no—
1356C23—82no—
1357C23C2×C11×#4112yes—
1358C23C2×C11×#4112yes—
1359C23C2×C11×#4112yes—
1360C23C2×C11×#4112yes—
1361C23C2×C11×#4112yes—
1362C23C11×H(5,𝔽2)12yes—
1363C23C25×C1111yescharacteristic
1364Q8—44no—
1365D4—28no—
1366D4—28no—
1367D4—44no—
1368D4—44no—
1369D4—44no—
1370D4—82no—
1371D4—82no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—44no—
1446C2×C4—44no—
1447C2×C4—44no—
1448C2×C4—44no—
1449C2×C4—44no—
1450C2×C4—44no—
1451C2×C4—44no—
1452C2×C4—44no—
1453C2×C4—44no—
1454C2×C4—82no—
1455C2×C4—82no—
1456C2×C4—82no—
1457C2×C4—82no—
1458C2×C4—82no—
1459C2×C4C2×C11×#4112yes—
1460C2×C4C2×C11×#4112yes—
1461C2×C4C2×C11×#4112yes—
1462C2×C4C2×C11×#4112yes—
1463C2×C4C11×H(5,𝔽2)12yes—
1464C22—22no—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—22no—
1469C22—22no—
1470C22—22no—
1471C22—22no—
1472C22—22no—
1473C22—22no—
1474C22—22no—
1475C22—22no—
1476C22—22no—
1477C22—22no—
1478C22—22no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—88no—
1499C22C11×#55114yes—
1500C22C22×C11×#4111yescharacteristic
1501C22C22×C11×#4111yescharacteristic
1502C22C22×C11×#4111yescharacteristic
1503C22C2×C11×H(5,𝔽2)11yescharacteristic
1504C22C2×C11×H(5,𝔽2)11yescharacteristic
1505C22C11×#58511yescharacteristic
1506C22C11×#58511yescharacteristic
1507C4—22no—
1508C4—22no—
1509C4—22no—
1510C4—22no—
1511C4—22no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C2—24no—
1534C2—42no—
1535C2—42no—
1536C2—42no—
1537C2—81no—
1538C2C2×C11×#55111yescharacteristic
1539C2C11×#347511yescharacteristic
1540C2C11×#348111yescharacteristic
1541C2C11×#351311yescharacteristic
1542C2C11×#351311yescharacteristic
1543C2C11×#352111yescharacteristic
1544C2C11×#354211yescharacteristic
subgroupG/H
center, socleC23×C11C25
commutator, Frattini, cosocleC23C25×C11
prime radicalC11×#2404C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#2798C2semidirect
2. C11×#2778C2semidirect
3. C11×#2746C2semidirect
4. C11×#2743C2semidirect
5. C11×#2598C2semidirect
6. C11×#2589C2semidirect
7. C11×#2579C2semidirect
8. C11×#2532C2semidirect
9. C11×#2527C2semidirect
10. C11×#2526C2semidirect
11. C11×#2516C2semidirect
12. C11×#2510C2semidirect
13. C11×#2498C2semidirect
14. C11×#2493C2semidirect
15. C11×#2493C2semidirect
16. C11×#2487C2semidirect
17. C11×#2483C2semidirect
18. C11×#2471C2semidirect
19. C11×#2457C2semidirect
20. C11×#2418C2semidirect
21. C11×#2418C2semidirect
23. C11×#2359C2semidirect
24. C11×#2358C2semidirect
25. C11×#2358C2semidirect
26. C11×#2353C2semidirect
27. C11×#2339C2semidirect
28. C11×#2339C2semidirect
29. C11×#2290C2semidirect
30. C11×#2290C2semidirect
31. C2×C11×#388C2semidirect
43. C2×C11×#117C22semidirect
44. C2×C11×#117C22semidirect
51. C11×#401C22semidirect
52. C11×#401C22semidirect
53. C11×#400C22semidirect
54. C11×#400C22semidirect
55. C11×#400C22semidirect
56. C11×#400C22semidirect
57. C11×#400C22semidirect
58. C11×#400C22semidirect
59. C11×#400C22semidirect
60. C11×#400C22semidirect
63. C11×#399C22semidirect
64. C11×#399C22semidirect
65. C11×#398C22semidirect
66. C11×#398C22semidirect
73. C11×#396C22semidirect
74. C11×#396C22semidirect
83. C11×#391C22semidirect
84. C11×#391C22semidirect
85. C11×#391C22semidirect
86. C11×#391C22semidirect
89. C11×#389C22semidirect
90. C11×#389C22semidirect
107. C11×#388C22semidirect
108. C11×#388C22semidirect
109. C11×#388C22semidirect
110. C11×#388C22semidirect
111. C11×#387C22semidirect
112. C11×#387C22semidirect
113. C11×#387C22semidirect
114. C11×#387C22semidirect
115. C11×#387C22semidirect
116. C11×#387C22semidirect
117. C11×#387C22semidirect
118. C11×#387C22semidirect
119. C11×#387C22semidirect
120. C11×#387C22semidirect
121. C11×#387C22semidirect
122. C11×#387C22semidirect
139. C11×#386C22semidirect
140. C11×#386C22semidirect
141. C11×#386C22semidirect
142. C11×#386C22semidirect
153. C11×#385C22semidirect
154. C11×#385C22semidirect
155. C11×#383C22semidirect
156. C11×#383C22semidirect
162. C11×#381C22semidirect
163. C11×#381C22semidirect
166. C11×#380C22semidirect
167. C11×#380C22semidirect
168. C11×#380C22semidirect
169. C11×#380C22semidirect
171. C4×C11×C4⋊C4C22semidirect
172. C4×C11×C4⋊C4C22semidirect
177. C4×C11×C22⋊C4C22semidirect
178. C4×C11×C22⋊C4C22semidirect
179. C4×C11×C22⋊C4C22semidirect
180. C4×C11×C22⋊C4C22semidirect
181. C11×#376C22semidirect
182. C11×#376C22semidirect
185. C2×C11×#95C22semidirect
186. C2×C11×#95C22semidirect
363. #59943C11direct (N × H)
536. C11×C22⋊C4#41semidirect
549. #2798C2×C11semidirect
550. #2778C2×C11semidirect
551. #2746C2×C11semidirect
552. #2743C2×C11semidirect
553. #2598C2×C11semidirect
554. #2589C2×C11semidirect
555. #2579C2×C11semidirect
556. #2532C2×C11semidirect
557. #2527C2×C11semidirect
558. #2526C2×C11semidirect
559. #2516C2×C11semidirect
560. #2510C2×C11semidirect
561. #2498C2×C11semidirect
562. #2493C2×C11semidirect
563. #2493C2×C11semidirect
564. #2487C2×C11semidirect
565. #2483C2×C11semidirect
566. #2471C2×C11semidirect
567. #2457C2×C11semidirect
568. #2418C2×C11semidirect
569. #2418C2×C11semidirect
571. #2359C2×C11semidirect
572. #2358C2×C11semidirect
573. #2358C2×C11semidirect
574. #2353C2×C11semidirect
575. #2339C2×C11semidirect
576. #2339C2×C11semidirect
577. #2290C2×C11semidirect
578. #2290C2×C11semidirect
579. C2×#388C2×C11semidirect
734. C2×#117C22×C11semidirect
735. C2×#117C22×C11semidirect
742. #401C22×C11semidirect
743. #401C22×C11semidirect
744. #400C22×C11semidirect
745. #400C22×C11semidirect
746. #400C22×C11semidirect
747. #400C22×C11semidirect
748. #400C22×C11semidirect
749. #400C22×C11semidirect
750. #400C22×C11semidirect
751. #400C22×C11semidirect
754. #399C22×C11semidirect
755. #399C22×C11semidirect
756. #398C22×C11semidirect
757. #398C22×C11semidirect
764. #396C22×C11semidirect
765. #396C22×C11semidirect
774. #391C22×C11semidirect
775. #391C22×C11semidirect
776. #391C22×C11semidirect
777. #391C22×C11semidirect
780. #389C22×C11semidirect
781. #389C22×C11semidirect
798. #388C22×C11semidirect
799. #388C22×C11semidirect
800. #388C22×C11semidirect
801. #388C22×C11semidirect
802. #387C22×C11semidirect
803. #387C22×C11semidirect
804. #387C22×C11semidirect
805. #387C22×C11semidirect
806. #387C22×C11semidirect
807. #387C22×C11semidirect
808. #387C22×C11semidirect
809. #387C22×C11semidirect
810. #387C22×C11semidirect
811. #387C22×C11semidirect
812. #387C22×C11semidirect
813. #387C22×C11semidirect
830. #386C22×C11semidirect
831. #386C22×C11semidirect
832. #386C22×C11semidirect
833. #386C22×C11semidirect
844. #385C22×C11semidirect
845. #385C22×C11semidirect
846. #383C22×C11semidirect
847. #383C22×C11semidirect
853. #381C22×C11semidirect
854. #381C22×C11semidirect
857. #380C22×C11semidirect
858. #380C22×C11semidirect
859. #380C22×C11semidirect
860. #380C22×C11semidirect
862. C4×C4⋊C4C22×C11semidirect
863. C4×C4⋊C4C22×C11semidirect
868. C4×C22⋊C4C22×C11semidirect
869. C4×C22⋊C4C22×C11semidirect
870. C4×C22⋊C4C22×C11semidirect
871. C4×C22⋊C4C22×C11semidirect
872. #376C22×C11semidirect
873. #376C22×C11semidirect
876. C2×#95C22×C11semidirect
877. C2×#95C22×C11semidirect
1307. C22⋊C4C11×#41semidirect
1320. C11#59943direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#27982
C11×#27782
C11×#27462
C11×#27432
C11×#25982
C11×#25892
C11×#25792
C11×#25322
C11×#25272
C11×#25262
C11×#25162
C11×#25102
C11×#24982
C11×#24932
C11×#24872
C11×#24832
C11×#24712
C11×#24572
C11×#24182
C11×#24042
C11×#23592
C11×#23582
C11×#23532
C11×#23392
C11×#22902
C2×C11×#3882
#5994311