Finite Group Databasebeta

← C11×#59930 #14637123

Subgroups — C11×#59930 #14637123

Order 2816.

1500 conjugacy classes of subgroups.

The subgroup lattice has 1238 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#2802C211yesmaximal, characteristic
2C11×#2792C211yesmaximal, characteristic
3C11×#2755C211yesmaximal, characteristic
4C11×#2713C211yesmaximal, characteristic
5C11×#2612C211yesmaximal, characteristic
6C11×#2612C211yesmaximal, characteristic
7C11×#2590C211yesmaximal, characteristic
8C11×#2590C211yesmaximal, characteristic
9C11×#2588C211yesmaximal, characteristic
10C11×#2588C211yesmaximal, characteristic
11C11×#2586C211yesmaximal, characteristic
12C11×#2586C211yesmaximal, characteristic
13C11×#2586C211yesmaximal, characteristic
14C11×#2585C211yesmaximal, characteristic
15C11×#2520C211yesmaximal, characteristic
16C11×#2520C211yesmaximal, characteristic
17C11×#2520C211yesmaximal, characteristic
18C11×#2507C211yesmaximal, characteristic
19C11×#2462C211yesmaximal, characteristic
20C11×#2462C211yesmaximal, characteristic
21C11×#2462C211yesmaximal, characteristic
22C11×#2451C211yesmaximal, characteristic
23C11×#2371C211yesmaximal, characteristic
24C11×#2371C211yesmaximal, characteristic
25C11×#2370C211yesmaximal, characteristic
26C11×#2370C211yesmaximal, characteristic
27C11×#2365C211yesmaximal, characteristic
28C11×#2355C211yesmaximal, characteristic
29C4×C11×#125C211yesmaximal, characteristic
30C11×#2295C211yesmaximal, characteristic
31C11×#2295C211yesmaximal, characteristic
32C2×C11×C4⋊Q8C2211yescharacteristic
33C2×C11×#125C2211yescharacteristic
34C2×C11×#125C2211yescharacteristic
35C2×C11×#125C2211yescharacteristic
36C2×C4×Q8×C11C2211yescharacteristic
37C2×C4×Q8×C11C2211yescharacteristic
38C2×C4×Q8×C11C2211yescharacteristic
39C11×#400C2211yescharacteristic
40C11×#400C2211yescharacteristic
41C11×#400C2211yescharacteristic
42C11×#400C2211yescharacteristic
43C11×#400C2211yescharacteristic
44C11×#400C2211yescharacteristic
45C11×#398C2211yescharacteristic
46C11×#398C2211yescharacteristic
47C11×#398C2211yescharacteristic
48C11×#398C2211yescharacteristic
49C11×#398C2211yescharacteristic
50C11×#398C2211yescharacteristic
51C11×#398C2211yescharacteristic
52C11×#398C2211yescharacteristic
53C11×#398C2211yescharacteristic
54C11×#398C2211yescharacteristic
55C11×#398C2211yescharacteristic
56C11×#398C2211yescharacteristic
57C11×#398C2211yescharacteristic
58C11×#398C2211yescharacteristic
59C11×#398C2211yescharacteristic
60C11×#398C2211yescharacteristic
61C11×#395C2211yescharacteristic
62C11×#395C2211yescharacteristic
63C11×#395C2211yescharacteristic
64C11×#395C2211yescharacteristic
65C11×#395C2211yescharacteristic
66C11×#395C2211yescharacteristic
67C11×#395C2211yescharacteristic
68C11×#395C2211yescharacteristic
69C11×#395C2211yescharacteristic
70C11×#395C2211yescharacteristic
71C11×#391C2211yescharacteristic
72C11×#391C2211yescharacteristic
73C11×#391C2211yescharacteristic
74C11×#391C2211yescharacteristic
75C11×#391C2211yescharacteristic
76C11×#391C2211yescharacteristic
77C11×#391C2211yescharacteristic
78C11×#391C2211yescharacteristic
79C11×#391C2211yescharacteristic
80C11×#391C2211yescharacteristic
81C11×#391C2211yescharacteristic
82C11×#391C2211yescharacteristic
83C11×#391C2211yescharacteristic
84C11×#389C2211yescharacteristic
85C11×#389C2211yescharacteristic
86C11×#389C2211yescharacteristic
87C11×#389C2211yescharacteristic
88C11×#389C2211yescharacteristic
89C11×#389C2211yescharacteristic
90C11×#389C2211yescharacteristic
91C11×#389C2211yescharacteristic
92C11×#389C2211yescharacteristic
93C11×#389C2211yescharacteristic
94C11×#389C2211yescharacteristic
95C11×#389C2211yescharacteristic
96C11×#389C2211yescharacteristic
97C11×#389C2211yescharacteristic
98C11×#389C2211yescharacteristic
99C11×#389C2211yescharacteristic
100C11×#389C2211yescharacteristic
101C11×#389C2211yescharacteristic
102C11×#389C2211yescharacteristic
103C11×#389C2211yescharacteristic
104C11×#389C2211yescharacteristic
105C11×#387C2211yescharacteristic
106C11×#387C2211yescharacteristic
107C11×#387C2211yescharacteristic
108C11×#387C2211yescharacteristic
109C11×#387C2211yescharacteristic
110C11×#387C2211yescharacteristic
111C11×#387C2211yescharacteristic
112C11×#387C2211yescharacteristic
113C11×#387C2211yescharacteristic
114C11×#387C2211yescharacteristic
115C11×#387C2211yescharacteristic
116C11×#387C2211yescharacteristic
117C11×#387C2211yescharacteristic
118C11×#387C2211yescharacteristic
119C11×#387C2211yescharacteristic
120C11×#387C2211yescharacteristic
121C11×#387C2211yescharacteristic
122C11×#387C2211yescharacteristic
123C11×#387C2211yescharacteristic
124C11×#387C2211yescharacteristic
125C11×#387C2211yescharacteristic
126C11×#387C2211yescharacteristic
127C11×#387C2211yescharacteristic
128C11×#387C2211yescharacteristic
129C11×#387C2211yescharacteristic
130C11×#387C2211yescharacteristic
131C11×#387C2211yescharacteristic
132C11×#387C2211yescharacteristic
133C11×#387C2211yescharacteristic
134C11×#387C2211yescharacteristic
135C11×#387C2211yescharacteristic
136C11×#387C2211yescharacteristic
137C11×#387C2211yescharacteristic
138C11×#387C2211yescharacteristic
139C11×#387C2211yescharacteristic
140C11×#387C2211yescharacteristic
141C11×#387C2211yescharacteristic
142C11×#387C2211yescharacteristic
143C11×#387C2211yescharacteristic
144C11×#387C2211yescharacteristic
145C11×#387C2211yescharacteristic
146C11×#387C2211yescharacteristic
147C11×#387C2211yescharacteristic
148C11×#387C2211yescharacteristic
149C11×#387C2211yescharacteristic
150C11×#387C2211yescharacteristic
151C11×#387C2211yescharacteristic
152C11×#387C2211yescharacteristic
153C11×#387C2211yescharacteristic
154C11×#387C2211yescharacteristic
155C11×#384C2211yescharacteristic
156C11×#382C2211yescharacteristic
157C11×#382C2211yescharacteristic
158C11×#382C2211yescharacteristic
159C4×C11×C4⋊C4C2211yescharacteristic
160C4×C11×C4⋊C4C2211yescharacteristic
161C4×C11×C4⋊C4C2211yescharacteristic
162C4×C11×C4⋊C4C2211yescharacteristic
163C4×C11×C4⋊C4C2211yescharacteristic
164C4×C11×C4⋊C4C2211yescharacteristic
165C4×C11×C4⋊C4C2211yescharacteristic
166C4×C11×C4⋊C4C2211yescharacteristic
167C4×C11×C4⋊C4C2211yescharacteristic
168C4×C11×C4⋊C4C2211yescharacteristic
169C4×C11×C4⋊C4C2211yescharacteristic
170C4×C11×C4⋊C4C2211yescharacteristic
171C4×C11×C4⋊C4C2211yescharacteristic
172C4×C11×C4⋊C4C2211yescharacteristic
173C4×C11×C4⋊C4C2211yescharacteristic
174C4×C11×C4⋊C4C2211yescharacteristic
175C4×C11×C4⋊C4C2211yescharacteristic
176C4×C11×C4⋊C4C2211yescharacteristic
177C4×C11×C4⋊C4C2211yescharacteristic
178C4×C11×C4⋊C4C2211yescharacteristic
179C4×C11×C4⋊C4C2211yescharacteristic
180C4×C11×C4⋊C4C2211yescharacteristic
181C4×C11×C4⋊C4C2211yescharacteristic
182C11×#376C2211yescharacteristic
183C11×#376C2211yescharacteristic
184C11×#376C2211yescharacteristic
185C11×#376C2211yescharacteristic
186C43×C11C2211yescharacteristic
187C22×Q8×C11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C11×C4⋊Q8—24no—
192C11×#125—24no—
193C11×#125—24no—
194C11×#125Q818yescomplemented
195C4×Q8×C11—24no—
196C4×Q8×C11—24no—
197C4×Q8×C11—24no—
198C2×C11×C4⋊C4C2311yescharacteristic
199C2×C11×C4⋊C4C2311yescharacteristic
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C4⋊C4C2311yescharacteristic
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊C4C2311yescharacteristic
248C2×C11×C4⋊C4C2311yescharacteristic
249C2×C11×C4⋊C4C2311yescharacteristic
250C2×C11×C4⋊C4C2311yescharacteristic
251C2×C11×C4⋊C4C2311yescharacteristic
252C2×C11×C4⋊C4C2311yescharacteristic
253C2×C11×C4⋊C4C2311yescharacteristic
254C2×C42×C11C2311yescharacteristic
255C2×C42×C11C2311yescharacteristic
256C2×C42×C11C2311yescharacteristic
257C2×C42×C11C2311yescharacteristic
258C2×C42×C11C2311yescharacteristic
259C2×C42×C11C2311yescharacteristic
260C2×C42×C11C2311yescharacteristic
261C2×C42×C11C2311yescharacteristic
262C2×C42×C11C2311yescharacteristic
263C2×C42×C11C2311yescharacteristic
264C2×C42×C11C2311yescharacteristic
265C2×C42×C11C2311yescharacteristic
266C2×C42×C11C2311yescharacteristic
267C2×C42×C11C2311yescharacteristic
268C2×C42×C11C2311yescharacteristic
269C2×C42×C11C2311yescharacteristic
270C2×C42×C11C2311yescharacteristic
271C2×C42×C11C2311yescharacteristic
272C2×C42×C11C2311yescharacteristic
273C2×C42×C11C2311yescharacteristic
274C2×C42×C11C2311yescharacteristic
275C2×C42×C11C2311yescharacteristic
276C2×C42×C11C2311yescharacteristic
277C2×C42×C11C2311yescharacteristic
278C2×C42×C11C2311yescharacteristic
279C2×C42×C11C2311yescharacteristic
280C2×C42×C11C2311yescharacteristic
281C11×#95C2311yescharacteristic
282C11×#95C2311yescharacteristic
283C11×#95C2311yescharacteristic
284C11×#95C2311yescharacteristic
285C11×#95C2311yescharacteristic
286C11×#95C2311yescharacteristic
287C11×#95C2311yescharacteristic
288C11×#95C2311yescharacteristic
289C11×#95C2311yescharacteristic
290C11×#95C2311yescharacteristic
291C11×#95C2311yescharacteristic
292C11×#95C2311yescharacteristic
293C11×#95C2311yescharacteristic
294C11×#95C2311yescharacteristic
295C11×#95C2311yescharacteristic
296C11×#95C2311yescharacteristic
297C11×#95C2311yescharacteristic
298C11×#95C2311yescharacteristic
299C11×#95C2311yescharacteristic
300C11×#95C2311yescharacteristic
301C11×#95C2311yescharacteristic
302C11×#95C2311yescharacteristic
303C11×#95C2311yescharacteristic
304C11×#95C2311yescharacteristic
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11×#95C2311yescharacteristic
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11×#95C2311yescharacteristic
339C11×#95C2311yescharacteristic
340C11×#95C2311yescharacteristic
341C11×#95C2311yescharacteristic
342C11×#95C2311yescharacteristic
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
349#59930C1111yesmaximal, characteristic, direct product factor, Sylow
350C2×Q8×C11—22no—
351C2×Q8×C11—22no—
352C2×Q8×C11—22no—
353C2×Q8×C11—22no—
354C2×Q8×C11—22no—
355C2×Q8×C11—22no—
356C2×Q8×C11—41no—
357C2×Q8×C11—41no—
358C2×Q8×C11—41no—
359C2×Q8×C11—41no—
360C2×Q8×C11—41no—
361C2×Q8×C11—41no—
362C22×C4×C11C2411yescharacteristic
363C22×C4×C11C2411yescharacteristic
364C22×C4×C11C2411yescharacteristic
365C22×C4×C11C2411yescharacteristic
366C22×C4×C11C2411yescharacteristic
367C22×C4×C11C2411yescharacteristic
368C22×C4×C11C2411yescharacteristic
369C22×C4×C11C2411yescharacteristic
370C22×C4×C11C2411yescharacteristic
371C22×C4×C11C2411yescharacteristic
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C11×C4⋊C4—22no—
394C11×C4⋊C4—22no—
395C11×C4⋊C4—22no—
396C11×C4⋊C4—22no—
397C11×C4⋊C4—22no—
398C11×C4⋊C4—22no—
399C11×C4⋊C4—22no—
400C11×C4⋊C4—22no—
401C11×C4⋊C4—22no—
402C11×C4⋊C4—22no—
403C11×C4⋊C4—22no—
404C11×C4⋊C4—22no—
405C11×C4⋊C4—22no—
406C11×C4⋊C4—22no—
407C11×C4⋊C4—22no—
408C11×C4⋊C4—22no—
409C11×C4⋊C4—22no—
410C11×C4⋊C4—22no—
411C11×C4⋊C4—22no—
412C11×C4⋊C4—22no—
413C11×C4⋊C4—22no—
414C11×C4⋊C4—22no—
415C11×C4⋊C4—41no—
416C11×C4⋊C4—41no—
417C11×C4⋊C4—41no—
418C11×C4⋊C4—41no—
419C11×C4⋊C4—41no—
420C11×C4⋊C4—41no—
421C11×C4⋊C4—41no—
422C11×C4⋊C4—41no—
423C11×C4⋊C4—41no—
424C11×C4⋊C4—41no—
425C11×C4⋊C4—41no—
426C11×C4⋊C4—41no—
427C11×C4⋊C4—41no—
428C11×C4⋊C4—41no—
429C11×C4⋊C4—41no—
430C11×C4⋊C4—41no—
431C11×C4⋊C4—41no—
432C11×C4⋊C4—41no—
433C11×C4⋊C4—41no—
434C11×C4⋊C4—41no—
435C11×C4⋊C4—41no—
436C11×C4⋊C4—41no—
437C11×C4⋊C4—41no—
438C11×C4⋊C4—41no—
439C11×C4⋊C4—41no—
440C11×C4⋊C4—41no—
441C11×C4⋊C4C2×Q814yes—
442C11×C4⋊C4C2×Q814yes—
443C11×C4⋊C4C2×Q814yes—
444C11×C4⋊C4C2×Q814yes—
445C11×C4⋊C4C2×Q814yes—
446C11×C4⋊C4C2×Q814yes—
447C11×C4⋊C4#4114yes—
448C11×C4⋊C4#4114yes—
449C42×C11—22no—
450C42×C11—22no—
451C42×C11—22no—
452C42×C11—22no—
453C42×C11—22no—
454C42×C11—22no—
455C42×C11—22no—
456C42×C11—22no—
457C42×C11—22no—
458C42×C11—22no—
459C42×C11—22no—
460C42×C11—22no—
461C42×C11—22no—
462C42×C11—41no—
463C42×C11—41no—
464C42×C11—41no—
465C42×C11—41no—
466C42×C11—41no—
467C42×C11—41no—
468C42×C11—41no—
469C42×C11—41no—
470C42×C11—41no—
471C42×C11—41no—
472C42×C11—41no—
473C42×C11—41no—
474C42×C11—41no—
475C42×C11C2×Q814yes—
476#2802C2×C1111yescharacteristic
477#2792C2×C1111yescharacteristic
478#2755C2×C1111yescharacteristic
479#2713C2×C1111yescharacteristic
480#2612C2×C1111yescharacteristic
481#2612C2×C1111yescharacteristic
482#2590C2×C1111yescharacteristic
483#2590C2×C1111yescharacteristic
484#2588C2×C1111yescharacteristic
485#2588C2×C1111yescharacteristic
486#2586C2×C1111yescharacteristic
487#2586C2×C1111yescharacteristic
488#2586C2×C1111yescharacteristic
489#2585C2×C1111yescharacteristic
490#2520C2×C1111yescharacteristic
491#2520C2×C1111yescharacteristic
492#2520C2×C1111yescharacteristic
493#2507C2×C1111yescharacteristic
494#2462C2×C1111yescharacteristic
495#2462C2×C1111yescharacteristic
496#2462C2×C1111yescharacteristic
497#2451C2×C1111yescharacteristic
498#2371C2×C1111yescharacteristic
499#2371C2×C1111yescharacteristic
500#2370C2×C1111yescharacteristic
501#2370C2×C1111yescharacteristic
502#2365C2×C1111yescharacteristic
503#2355C2×C1111yescharacteristic
504C4×#125C2×C1111yescharacteristic
505#2295C2×C1111yescharacteristic
506#2295C2×C1111yescharacteristic
507C23×C11C2511yescharacteristic
508Q8×C11—44no—
509Q8×C11—44no—
510Q8×C11—44no—
511Q8×C11—82no—
512C2×C4×C11—21no—
513C2×C4×C11—21no—
514C2×C4×C11—21no—
515C2×C4×C11—21no—
516C2×C4×C11—21no—
517C2×C4×C11—21no—
518C2×C4×C11—21no—
519C2×C4×C11—21no—
520C2×C4×C11—21no—
521C2×C4×C11—21no—
522C2×C4×C11—21no—
523C2×C4×C11—21no—
524C2×C4×C11—21no—
525C2×C4×C11—21no—
526C2×C4×C11—21no—
527C2×C4×C11—21no—
528C2×C4×C11—21no—
529C2×C4×C11—21no—
530C2×C4×C11—21no—
531C2×C4×C11—21no—
532C2×C4×C11—21no—
533C2×C4×C11—21no—
534C2×C4×C11—21no—
535C2×C4×C11—21no—
536C2×C4×C11—21no—
537C2×C4×C11—21no—
538C2×C4×C11—21no—
539C2×C4×C11—21no—
540C2×C4×C11—21no—
541C2×C4×C11—21no—
542C2×C4×C11—21no—
543C2×C4×C11—21no—
544C2×C4×C11—21no—
545C2×C4×C11—21no—
546C2×C4×C11—21no—
547C2×C4×C11—21no—
548C2×C4×C11—21no—
549C2×C4×C11—21no—
550C2×C4×C11—21no—
551C2×C4×C11—21no—
552C2×C4×C11—21no—
553C2×C4×C11—21no—
554C2×C4×C11—21no—
555C2×C4×C11—21no—
556C2×C4×C11—21no—
557C2×C4×C11—21no—
558C2×C4×C11—21no—
559C2×C4×C11—21no—
560C2×C4×C11—21no—
561C2×C4×C11—21no—
562C2×C4×C11—21no—
563C2×C4×C11—21no—
564C2×C4×C11—21no—
565C2×C4×C11—21no—
566C2×C4×C11—21no—
567C2×C4×C11—21no—
568C2×C4×C11—21no—
569C2×C4×C11—21no—
570C2×C4×C11—21no—
571C2×C4×C11—21no—
572C2×C4×C11—21no—
573C2×C4×C11—21no—
574C2×C4×C11—21no—
575C2×C4×C11—21no—
576C2×C4×C11—21no—
577C2×C4×C11—21no—
578C2×C4×C11—21no—
579C2×C4×C11—21no—
580C2×C4×C11—21no—
581C2×C4×C11—21no—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11C22×Q812yes—
592C2×C4×C11C22×Q812yes—
593C2×C4×C11C22×Q812yes—
594C2×C4×C11C22×Q812yes—
595C2×C4×C11C22×Q812yes—
596C2×C4×C11C22×Q812yes—
597C2×C4×C11C22×Q812yes—
598C2×C4×C11C2×#4112yes—
599C2×C4×C11C2×#4112yes—
600C2×C4×C11C2×#4112yes—
601C2×C4×C11C2×#4112yes—
602C2×C4×C11C2×#4112yes—
603C2×C4×C11C2×#4112yes—
604C2×C4×C112−1+412yes—
605C2×C4⋊Q8C22×C1111yescharacteristic
606C2×#125C22×C1111yescharacteristic
607C2×#125C22×C1111yescharacteristic
608C2×#125C22×C1111yescharacteristic
609C2×C4×Q8C22×C1111yescharacteristic
610C2×C4×Q8C22×C1111yescharacteristic
611C2×C4×Q8C22×C1111yescharacteristic
612#400C22×C1111yescharacteristic
613#400C22×C1111yescharacteristic
614#400C22×C1111yescharacteristic
615#400C22×C1111yescharacteristic
616#400C22×C1111yescharacteristic
617#400C22×C1111yescharacteristic
618#398C22×C1111yescharacteristic
619#398C22×C1111yescharacteristic
620#398C22×C1111yescharacteristic
621#398C22×C1111yescharacteristic
622#398C22×C1111yescharacteristic
623#398C22×C1111yescharacteristic
624#398C22×C1111yescharacteristic
625#398C22×C1111yescharacteristic
626#398C22×C1111yescharacteristic
627#398C22×C1111yescharacteristic
628#398C22×C1111yescharacteristic
629#398C22×C1111yescharacteristic
630#398C22×C1111yescharacteristic
631#398C22×C1111yescharacteristic
632#398C22×C1111yescharacteristic
633#398C22×C1111yescharacteristic
634#395C22×C1111yescharacteristic
635#395C22×C1111yescharacteristic
636#395C22×C1111yescharacteristic
637#395C22×C1111yescharacteristic
638#395C22×C1111yescharacteristic
639#395C22×C1111yescharacteristic
640#395C22×C1111yescharacteristic
641#395C22×C1111yescharacteristic
642#395C22×C1111yescharacteristic
643#395C22×C1111yescharacteristic
644#391C22×C1111yescharacteristic
645#391C22×C1111yescharacteristic
646#391C22×C1111yescharacteristic
647#391C22×C1111yescharacteristic
648#391C22×C1111yescharacteristic
649#391C22×C1111yescharacteristic
650#391C22×C1111yescharacteristic
651#391C22×C1111yescharacteristic
652#391C22×C1111yescharacteristic
653#391C22×C1111yescharacteristic
654#391C22×C1111yescharacteristic
655#391C22×C1111yescharacteristic
656#391C22×C1111yescharacteristic
657#389C22×C1111yescharacteristic
658#389C22×C1111yescharacteristic
659#389C22×C1111yescharacteristic
660#389C22×C1111yescharacteristic
661#389C22×C1111yescharacteristic
662#389C22×C1111yescharacteristic
663#389C22×C1111yescharacteristic
664#389C22×C1111yescharacteristic
665#389C22×C1111yescharacteristic
666#389C22×C1111yescharacteristic
667#389C22×C1111yescharacteristic
668#389C22×C1111yescharacteristic
669#389C22×C1111yescharacteristic
670#389C22×C1111yescharacteristic
671#389C22×C1111yescharacteristic
672#389C22×C1111yescharacteristic
673#389C22×C1111yescharacteristic
674#389C22×C1111yescharacteristic
675#389C22×C1111yescharacteristic
676#389C22×C1111yescharacteristic
677#389C22×C1111yescharacteristic
678#387C22×C1111yescharacteristic
679#387C22×C1111yescharacteristic
680#387C22×C1111yescharacteristic
681#387C22×C1111yescharacteristic
682#387C22×C1111yescharacteristic
683#387C22×C1111yescharacteristic
684#387C22×C1111yescharacteristic
685#387C22×C1111yescharacteristic
686#387C22×C1111yescharacteristic
687#387C22×C1111yescharacteristic
688#387C22×C1111yescharacteristic
689#387C22×C1111yescharacteristic
690#387C22×C1111yescharacteristic
691#387C22×C1111yescharacteristic
692#387C22×C1111yescharacteristic
693#387C22×C1111yescharacteristic
694#387C22×C1111yescharacteristic
695#387C22×C1111yescharacteristic
696#387C22×C1111yescharacteristic
697#387C22×C1111yescharacteristic
698#387C22×C1111yescharacteristic
699#387C22×C1111yescharacteristic
700#387C22×C1111yescharacteristic
701#387C22×C1111yescharacteristic
702#387C22×C1111yescharacteristic
703#387C22×C1111yescharacteristic
704#387C22×C1111yescharacteristic
705#387C22×C1111yescharacteristic
706#387C22×C1111yescharacteristic
707#387C22×C1111yescharacteristic
708#387C22×C1111yescharacteristic
709#387C22×C1111yescharacteristic
710#387C22×C1111yescharacteristic
711#387C22×C1111yescharacteristic
712#387C22×C1111yescharacteristic
713#387C22×C1111yescharacteristic
714#387C22×C1111yescharacteristic
715#387C22×C1111yescharacteristic
716#387C22×C1111yescharacteristic
717#387C22×C1111yescharacteristic
718#387C22×C1111yescharacteristic
719#387C22×C1111yescharacteristic
720#387C22×C1111yescharacteristic
721#387C22×C1111yescharacteristic
722#387C22×C1111yescharacteristic
723#387C22×C1111yescharacteristic
724#387C22×C1111yescharacteristic
725#387C22×C1111yescharacteristic
726#387C22×C1111yescharacteristic
727#387C22×C1111yescharacteristic
728#384C22×C1111yescharacteristic
729#382C22×C1111yescharacteristic
730#382C22×C1111yescharacteristic
731#382C22×C1111yescharacteristic
732C4×C4⋊C4C22×C1111yescharacteristic
733C4×C4⋊C4C22×C1111yescharacteristic
734C4×C4⋊C4C22×C1111yescharacteristic
735C4×C4⋊C4C22×C1111yescharacteristic
736C4×C4⋊C4C22×C1111yescharacteristic
737C4×C4⋊C4C22×C1111yescharacteristic
738C4×C4⋊C4C22×C1111yescharacteristic
739C4×C4⋊C4C22×C1111yescharacteristic
740C4×C4⋊C4C22×C1111yescharacteristic
741C4×C4⋊C4C22×C1111yescharacteristic
742C4×C4⋊C4C22×C1111yescharacteristic
743C4×C4⋊C4C22×C1111yescharacteristic
744C4×C4⋊C4C22×C1111yescharacteristic
745C4×C4⋊C4C22×C1111yescharacteristic
746C4×C4⋊C4C22×C1111yescharacteristic
747C4×C4⋊C4C22×C1111yescharacteristic
748C4×C4⋊C4C22×C1111yescharacteristic
749C4×C4⋊C4C22×C1111yescharacteristic
750C4×C4⋊C4C22×C1111yescharacteristic
751C4×C4⋊C4C22×C1111yescharacteristic
752C4×C4⋊C4C22×C1111yescharacteristic
753C4×C4⋊C4C22×C1111yescharacteristic
754C4×C4⋊C4C22×C1111yescharacteristic
755#376C22×C1111yescharacteristic
756#376C22×C1111yescharacteristic
757#376C22×C1111yescharacteristic
758#376C22×C1111yescharacteristic
759C43C22×C1111yescharacteristic
760C22×C11C23×Q811yescharacteristic
761C22×C11C22×#4111yescharacteristic
762C22×C11C22×#4111yescharacteristic
763C22×C11C2×2−1+411yescharacteristic
764C22×C11#58511yescharacteristic
765C22×C11#58511yescharacteristic
766C22×C11#58511yescharacteristic
767C4×C11—22no—
768C4×C11—22no—
769C4×C11—22no—
770C4×C11—22no—
771C4×C11—22no—
772C4×C11—22no—
773C4×C11—22no—
774C4×C11—22no—
775C4×C11—22no—
776C4×C11—22no—
777C4×C11—22no—
778C4×C11—22no—
779C4×C11—22no—
780C4×C11—22no—
781C4×C11—41no—
782C4×C11—41no—
783C4×C11—41no—
784C4×C11—41no—
785C4×C11—41no—
786C4×C11—41no—
787C4×C11—41no—
788C4×C11—41no—
789C4×C11—41no—
790C4×C11—41no—
791C4×C11—41no—
792C4×C11—41no—
793C4×C11—41no—
794C4×C11—41no—
795C4×C11—41no—
796C4×C11—41no—
797C4×C11—41no—
798C22×Q8C23×C1111yescharacteristic
799C22×Q8C23×C1111yescharacteristic
800C22×Q8C23×C1111yescharacteristic
801C22×Q8C23×C1111yescharacteristic
802C4⋊Q8—24no—
803#125—24no—
804#125—24no—
805#125Q8×C1118yescomplemented
806C4×Q8—24no—
807C4×Q8—24no—
808C4×Q8—24no—
809C2×C4⋊C4C23×C1111yescharacteristic
810C2×C4⋊C4C23×C1111yescharacteristic
811C2×C4⋊C4C23×C1111yescharacteristic
812C2×C4⋊C4C23×C1111yescharacteristic
813C2×C4⋊C4C23×C1111yescharacteristic
814C2×C4⋊C4C23×C1111yescharacteristic
815C2×C4⋊C4C23×C1111yescharacteristic
816C2×C4⋊C4C23×C1111yescharacteristic
817C2×C4⋊C4C23×C1111yescharacteristic
818C2×C4⋊C4C23×C1111yescharacteristic
819C2×C4⋊C4C23×C1111yescharacteristic
820C2×C4⋊C4C23×C1111yescharacteristic
821C2×C4⋊C4C23×C1111yescharacteristic
822C2×C4⋊C4C23×C1111yescharacteristic
823C2×C4⋊C4C23×C1111yescharacteristic
824C2×C4⋊C4C23×C1111yescharacteristic
825C2×C4⋊C4C23×C1111yescharacteristic
826C2×C4⋊C4C23×C1111yescharacteristic
827C2×C4⋊C4C23×C1111yescharacteristic
828C2×C4⋊C4C23×C1111yescharacteristic
829C2×C4⋊C4C23×C1111yescharacteristic
830C2×C4⋊C4C23×C1111yescharacteristic
831C2×C4⋊C4C23×C1111yescharacteristic
832C2×C4⋊C4C23×C1111yescharacteristic
833C2×C4⋊C4C23×C1111yescharacteristic
834C2×C4⋊C4C23×C1111yescharacteristic
835C2×C4⋊C4C23×C1111yescharacteristic
836C2×C4⋊C4C23×C1111yescharacteristic
837C2×C4⋊C4C23×C1111yescharacteristic
838C2×C4⋊C4C23×C1111yescharacteristic
839C2×C4⋊C4C23×C1111yescharacteristic
840C2×C4⋊C4C23×C1111yescharacteristic
841C2×C4⋊C4C23×C1111yescharacteristic
842C2×C4⋊C4C23×C1111yescharacteristic
843C2×C4⋊C4C23×C1111yescharacteristic
844C2×C4⋊C4C23×C1111yescharacteristic
845C2×C4⋊C4C23×C1111yescharacteristic
846C2×C4⋊C4C23×C1111yescharacteristic
847C2×C4⋊C4C23×C1111yescharacteristic
848C2×C4⋊C4C23×C1111yescharacteristic
849C2×C4⋊C4C23×C1111yescharacteristic
850C2×C4⋊C4C23×C1111yescharacteristic
851C2×C4⋊C4C23×C1111yescharacteristic
852C2×C4⋊C4C23×C1111yescharacteristic
853C2×C4⋊C4C23×C1111yescharacteristic
854C2×C4⋊C4C23×C1111yescharacteristic
855C2×C4⋊C4C23×C1111yescharacteristic
856C2×C4⋊C4C23×C1111yescharacteristic
857C2×C4⋊C4C23×C1111yescharacteristic
858C2×C4⋊C4C23×C1111yescharacteristic
859C2×C4⋊C4C23×C1111yescharacteristic
860C2×C4⋊C4C23×C1111yescharacteristic
861C2×C4⋊C4C23×C1111yescharacteristic
862C2×C4⋊C4C23×C1111yescharacteristic
863C2×C4⋊C4C23×C1111yescharacteristic
864C2×C4⋊C4C23×C1111yescharacteristic
865C2×C42C23×C1111yescharacteristic
866C2×C42C23×C1111yescharacteristic
867C2×C42C23×C1111yescharacteristic
868C2×C42C23×C1111yescharacteristic
869C2×C42C23×C1111yescharacteristic
870C2×C42C23×C1111yescharacteristic
871C2×C42C23×C1111yescharacteristic
872C2×C42C23×C1111yescharacteristic
873C2×C42C23×C1111yescharacteristic
874C2×C42C23×C1111yescharacteristic
875C2×C42C23×C1111yescharacteristic
876C2×C42C23×C1111yescharacteristic
877C2×C42C23×C1111yescharacteristic
878C2×C42C23×C1111yescharacteristic
879C2×C42C23×C1111yescharacteristic
880C2×C42C23×C1111yescharacteristic
881C2×C42C23×C1111yescharacteristic
882C2×C42C23×C1111yescharacteristic
883C2×C42C23×C1111yescharacteristic
884C2×C42C23×C1111yescharacteristic
885C2×C42C23×C1111yescharacteristic
886C2×C42C23×C1111yescharacteristic
887C2×C42C23×C1111yescharacteristic
888C2×C42C23×C1111yescharacteristic
889C2×C42C23×C1111yescharacteristic
890C2×C42C23×C1111yescharacteristic
891C2×C42C23×C1111yescharacteristic
892#95C23×C1111yescharacteristic
893#95C23×C1111yescharacteristic
894#95C23×C1111yescharacteristic
895#95C23×C1111yescharacteristic
896#95C23×C1111yescharacteristic
897#95C23×C1111yescharacteristic
898#95C23×C1111yescharacteristic
899#95C23×C1111yescharacteristic
900#95C23×C1111yescharacteristic
901#95C23×C1111yescharacteristic
902#95C23×C1111yescharacteristic
903#95C23×C1111yescharacteristic
904#95C23×C1111yescharacteristic
905#95C23×C1111yescharacteristic
906#95C23×C1111yescharacteristic
907#95C23×C1111yescharacteristic
908#95C23×C1111yescharacteristic
909#95C23×C1111yescharacteristic
910#95C23×C1111yescharacteristic
911#95C23×C1111yescharacteristic
912#95C23×C1111yescharacteristic
913#95C23×C1111yescharacteristic
914#95C23×C1111yescharacteristic
915#95C23×C1111yescharacteristic
916#95C23×C1111yescharacteristic
917#95C23×C1111yescharacteristic
918#95C23×C1111yescharacteristic
919#95C23×C1111yescharacteristic
920#95C23×C1111yescharacteristic
921#95C23×C1111yescharacteristic
922#95C23×C1111yescharacteristic
923#95C23×C1111yescharacteristic
924#95C23×C1111yescharacteristic
925#95C23×C1111yescharacteristic
926#95C23×C1111yescharacteristic
927#95C23×C1111yescharacteristic
928#95C23×C1111yescharacteristic
929#95C23×C1111yescharacteristic
930#95C23×C1111yescharacteristic
931#95C23×C1111yescharacteristic
932#95C23×C1111yescharacteristic
933#95C23×C1111yescharacteristic
934#95C23×C1111yescharacteristic
935#95C23×C1111yescharacteristic
936#95C23×C1111yescharacteristic
937#95C23×C1111yescharacteristic
938#95C23×C1111yescharacteristic
939#95C23×C1111yescharacteristic
940#95C23×C1111yescharacteristic
941#95C23×C1111yescharacteristic
942#95C23×C1111yescharacteristic
943#95C23×C1111yescharacteristic
944#95C23×C1111yescharacteristic
945#95C23×C1111yescharacteristic
946#95C23×C1111yescharacteristic
947#95C23×C1111yescharacteristic
948#95C23×C1111yescharacteristic
949#95C23×C1111yescharacteristic
950#95C23×C1111yescharacteristic
951#95C23×C1111yescharacteristic
952#95C23×C1111yescharacteristic
953#95C23×C1111yescharacteristic
954#95C23×C1111yescharacteristic
955#95C23×C1111yescharacteristic
956#95C23×C1111yescharacteristic
957#95C23×C1111yescharacteristic
958#95C23×C1111yescharacteristic
959#95C23×C1111yescharacteristic
960C2×C11#347511yescharacteristic
961C2×C11Q8×#4111yescharacteristic
962C2×C11Q8×#4111yescharacteristic
963C2×C11#349511yescharacteristic
964C2×C11#350211yescharacteristic
965C2×C11#351511yescharacteristic
966C2×C11#356611yescharacteristic
967C2×Q8—22no—
968C2×Q8—22no—
969C2×Q8—22no—
970C2×Q8—22no—
971C2×Q8—22no—
972C2×Q8—22no—
973C2×Q8—41no—
974C2×Q8—41no—
975C2×Q8—41no—
976C2×Q8—41no—
977C2×Q8—41no—
978C2×Q8—41no—
979C22×C4C24×C1111yescharacteristic
980C22×C4C24×C1111yescharacteristic
981C22×C4C24×C1111yescharacteristic
982C22×C4C24×C1111yescharacteristic
983C22×C4C24×C1111yescharacteristic
984C22×C4C24×C1111yescharacteristic
985C22×C4C24×C1111yescharacteristic
986C22×C4C24×C1111yescharacteristic
987C22×C4C24×C1111yescharacteristic
988C22×C4C24×C1111yescharacteristic
989C22×C4C24×C1111yescharacteristic
990C22×C4C24×C1111yescharacteristic
991C22×C4C24×C1111yescharacteristic
992C22×C4C24×C1111yescharacteristic
993C22×C4C24×C1111yescharacteristic
994C22×C4C24×C1111yescharacteristic
995C22×C4C24×C1111yescharacteristic
996C22×C4C24×C1111yescharacteristic
997C22×C4C24×C1111yescharacteristic
998C22×C4C24×C1111yescharacteristic
999C22×C4C24×C1111yescharacteristic
1000C22×C4C24×C1111yescharacteristic
1001C22×C4C24×C1111yescharacteristic
1002C22×C4C24×C1111yescharacteristic
1003C22×C4C24×C1111yescharacteristic
1004C22×C4C24×C1111yescharacteristic
1005C22×C4C24×C1111yescharacteristic
1006C22×C4C24×C1111yescharacteristic
1007C22×C4C24×C1111yescharacteristic
1008C22×C4C24×C1111yescharacteristic
1009C22×C4C24×C1111yescharacteristic
1010C4⋊C4—22no—
1011C4⋊C4—22no—
1012C4⋊C4—22no—
1013C4⋊C4—22no—
1014C4⋊C4—22no—
1015C4⋊C4—22no—
1016C4⋊C4—22no—
1017C4⋊C4—22no—
1018C4⋊C4—22no—
1019C4⋊C4—22no—
1020C4⋊C4—22no—
1021C4⋊C4—22no—
1022C4⋊C4—22no—
1023C4⋊C4—22no—
1024C4⋊C4—22no—
1025C4⋊C4—22no—
1026C4⋊C4—22no—
1027C4⋊C4—22no—
1028C4⋊C4—22no—
1029C4⋊C4—22no—
1030C4⋊C4—22no—
1031C4⋊C4—22no—
1032C4⋊C4—41no—
1033C4⋊C4—41no—
1034C4⋊C4—41no—
1035C4⋊C4—41no—
1036C4⋊C4—41no—
1037C4⋊C4—41no—
1038C4⋊C4—41no—
1039C4⋊C4—41no—
1040C4⋊C4—41no—
1041C4⋊C4—41no—
1042C4⋊C4—41no—
1043C4⋊C4—41no—
1044C4⋊C4—41no—
1045C4⋊C4—41no—
1046C4⋊C4—41no—
1047C4⋊C4—41no—
1048C4⋊C4—41no—
1049C4⋊C4—41no—
1050C4⋊C4—41no—
1051C4⋊C4—41no—
1052C4⋊C4—41no—
1053C4⋊C4—41no—
1054C4⋊C4—41no—
1055C4⋊C4—41no—
1056C4⋊C4—41no—
1057C4⋊C4—41no—
1058C4⋊C4C2×Q8×C1114yes—
1059C4⋊C4C2×Q8×C1114yes—
1060C4⋊C4C2×Q8×C1114yes—
1061C4⋊C4C2×Q8×C1114yes—
1062C4⋊C4C2×Q8×C1114yes—
1063C4⋊C4C2×Q8×C1114yes—
1064C4⋊C4C11×#4114yes—
1065C4⋊C4C11×#4114yes—
1066C42—22no—
1067C42—22no—
1068C42—22no—
1069C42—22no—
1070C42—22no—
1071C42—22no—
1072C42—22no—
1073C42—22no—
1074C42—22no—
1075C42—22no—
1076C42—22no—
1077C42—22no—
1078C42—22no—
1079C42—41no—
1080C42—41no—
1081C42—41no—
1082C42—41no—
1083C42—41no—
1084C42—41no—
1085C42—41no—
1086C42—41no—
1087C42—41no—
1088C42—41no—
1089C42—41no—
1090C42—41no—
1091C42—41no—
1092C42C2×Q8×C1114yes—
1093C11#5993011yescharacteristic, direct product factor, Sylow
1094C23C25×C1111yescharacteristic
1095Q8—44no—
1096Q8—44no—
1097Q8—44no—
1098Q8—82no—
1099C2×C4—21no—
1100C2×C4—21no—
1101C2×C4—21no—
1102C2×C4—21no—
1103C2×C4—21no—
1104C2×C4—21no—
1105C2×C4—21no—
1106C2×C4—21no—
1107C2×C4—21no—
1108C2×C4—21no—
1109C2×C4—21no—
1110C2×C4—21no—
1111C2×C4—21no—
1112C2×C4—21no—
1113C2×C4—21no—
1114C2×C4—21no—
1115C2×C4—21no—
1116C2×C4—21no—
1117C2×C4—21no—
1118C2×C4—21no—
1119C2×C4—21no—
1120C2×C4—21no—
1121C2×C4—21no—
1122C2×C4—21no—
1123C2×C4—21no—
1124C2×C4—21no—
1125C2×C4—21no—
1126C2×C4—21no—
1127C2×C4—21no—
1128C2×C4—21no—
1129C2×C4—21no—
1130C2×C4—21no—
1131C2×C4—21no—
1132C2×C4—21no—
1133C2×C4—21no—
1134C2×C4—21no—
1135C2×C4—21no—
1136C2×C4—21no—
1137C2×C4—21no—
1138C2×C4—21no—
1139C2×C4—21no—
1140C2×C4—21no—
1141C2×C4—21no—
1142C2×C4—21no—
1143C2×C4—21no—
1144C2×C4—21no—
1145C2×C4—21no—
1146C2×C4—21no—
1147C2×C4—21no—
1148C2×C4—21no—
1149C2×C4—21no—
1150C2×C4—21no—
1151C2×C4—21no—
1152C2×C4—21no—
1153C2×C4—21no—
1154C2×C4—21no—
1155C2×C4—21no—
1156C2×C4—21no—
1157C2×C4—21no—
1158C2×C4—21no—
1159C2×C4—21no—
1160C2×C4—21no—
1161C2×C4—21no—
1162C2×C4—21no—
1163C2×C4—21no—
1164C2×C4—21no—
1165C2×C4—21no—
1166C2×C4—21no—
1167C2×C4—21no—
1168C2×C4—21no—
1169C2×C4—21no—
1170C2×C4—21no—
1171C2×C4—21no—
1172C2×C4—21no—
1173C2×C4—21no—
1174C2×C4—21no—
1175C2×C4—21no—
1176C2×C4—21no—
1177C2×C4—21no—
1178C2×C4C22×Q8×C1112yes—
1179C2×C4C22×Q8×C1112yes—
1180C2×C4C22×Q8×C1112yes—
1181C2×C4C22×Q8×C1112yes—
1182C2×C4C22×Q8×C1112yes—
1183C2×C4C22×Q8×C1112yes—
1184C2×C4C22×Q8×C1112yes—
1185C2×C4C2×C11×#4112yes—
1186C2×C4C2×C11×#4112yes—
1187C2×C4C2×C11×#4112yes—
1188C2×C4C2×C11×#4112yes—
1189C2×C4C2×C11×#4112yes—
1190C2×C4C2×C11×#4112yes—
1191C2×C4C11×2−1+412yes—
1192C22C23×Q8×C1111yescharacteristic
1193C22C22×C11×#4111yescharacteristic
1194C22C22×C11×#4111yescharacteristic
1195C22C2×C11×2−1+411yescharacteristic
1196C22C11×#58511yescharacteristic
1197C22C11×#58511yescharacteristic
1198C22C11×#58511yescharacteristic
1199C4—22no—
1200C4—22no—
1201C4—22no—
1202C4—22no—
1203C4—22no—
1204C4—22no—
1205C4—22no—
1206C4—22no—
1207C4—22no—
1208C4—22no—
1209C4—22no—
1210C4—22no—
1211C4—22no—
1212C4—22no—
1213C4—41no—
1214C4—41no—
1215C4—41no—
1216C4—41no—
1217C4—41no—
1218C4—41no—
1219C4—41no—
1220C4—41no—
1221C4—41no—
1222C4—41no—
1223C4—41no—
1224C4—41no—
1225C4—41no—
1226C4—41no—
1227C4—41no—
1228C4—41no—
1229C4—41no—
1230C2C11×#347511yescharacteristic
1231C2Q8×C11×#4111yescharacteristic
1232C2Q8×C11×#4111yescharacteristic
1233C2C11×#349511yescharacteristic
1234C2C11×#350211yescharacteristic
1235C2C11×#351511yescharacteristic
1236C2C11×#356611yescharacteristic
subgroupG/H
center, socle, prime radicalC23×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
194. C11×#125Q8semidirect
349. #59930C11direct (N × H)
805. #125Q8×C11semidirect
1093. C11#59930direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#28022
C11×#27922
C11×#27552
C11×#27132
C11×#26122
C11×#25902
C11×#25882
C11×#25862
C11×#25852
C11×#25202
C11×#25072
C11×#24622
C11×#24512
C11×#23712
C11×#23702
C11×#23652
C11×#23552
C4×C11×#1252
C11×#22952
#5993011