Finite Group Databasebeta

← C11×#34290 #14611483

Subgroups — C11×#34290 #14611483

Order 2816.

3960 conjugacy classes of subgroups.

The subgroup lattice has 1278 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D42×C11C211yesmaximal, characteristic
2C2×C11×#518C211yesmaximal, characteristic, complemented
3C22×C4×D4×C11C211yesmaximal, characteristic, complemented
4C11×#2366C211yesmaximal, characteristic, complemented
5C11×#2364C212yesmaximal, complemented
6C11×#2363C211yesmaximal, characteristic, complemented
7C11×#2361C211yesmaximal, characteristic, complemented
8C11×#2358C212yesmaximal, complemented
9C11×#2358C212yesmaximal, complemented
10C11×#2352C211yesmaximal, characteristic, complemented
11C11×#2349C211yesmaximal, characteristic, complemented
12D4×C11×C22⋊C4C211yesmaximal, characteristic, complemented
13D4×C11×C22⋊C4C211yesmaximal, characteristic, complemented
14D4×C11×C22⋊C4C212yesmaximal, complemented
15C11×#2328C211yesmaximal, characteristic, complemented
16C11×#2325C212yesmaximal, complemented
17C11×#2324C211yesmaximal, characteristic, complemented
18C11×#2321C212yesmaximal, complemented
19C4×C11×#121C211yesmaximal, characteristic, complemented
20C4×C11×#120C212yesmaximal, complemented
21C11×#2290C211yesmaximal, characteristic, complemented
22C2×C11×#386C212yesmaximal, complemented
23C11×#2275C211yesmaximal, characteristic, complemented
24C23×D4×C11C2211yescharacteristic
25C23×D4×C11C2211yescharacteristic
26C23×D4×C11C2212yes—
27C24×C4×C11C2212yescomplemented
28D42×C11C4116yescomplemented
29C2×C11×#127C2211yescharacteristic
30C2×C11×#121C2211yescharacteristic
31C2×C11×#121C2211yescharacteristic
32C2×C11×#121C2212yes—
33C2×C11×#120C2212yes—
34C2×C11×#120C2212yes—
35C11×#518—28no—
36C2×C4×D4×C11—28no—
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×C4×D4×C11C2212yescomplemented
44C2×C4×D4×C11C2211yescharacteristic, complemented
45C2×C4×D4×C11C2212yescomplemented
46C2×C4×D4×C11C2211yescharacteristic, complemented
47C2×C4×D4×C11C2212yescomplemented
48C2×C4×D4×C11C2211yescharacteristic, complemented
49C2×C4×D4×C11C2212yescomplemented
50C2×C4×D4×C11C2211yescharacteristic, complemented
51C2×C4×D4×C11C2212yescomplemented
52C2×C4×D4×C11C2212yescomplemented
53C2×C4×D4×C11C2212yescomplemented
54C2×C11×#117C2211yescharacteristic, complemented
55C2×C11×#117C2211yescharacteristic, complemented
56C22×C11×C4⋊C4C2211yescharacteristic, complemented
57C22×C11×C22⋊C4C2212yescomplemented
58C22×C11×C22⋊C4C2212yescomplemented
59C22×C11×C22⋊C4C2212yescomplemented
60C22×C11×C22⋊C4C2212yescomplemented
61C22×C11×C22⋊C4C2212yescomplemented
62C22×C42×C11C2211yescharacteristic, complemented
63C11×#390C2211yescharacteristic, complemented
64C11×#390C2212yescomplemented
65C11×#390C2212yescomplemented
66C11×#390C2212yescomplemented
67C11×#390C2211yescharacteristic, complemented
68C11×#390C2211yescharacteristic, complemented
69C11×#390C2211yescharacteristic, complemented
70C11×#389C2211yescharacteristic, complemented
71C11×#389C2211yescharacteristic, complemented
72C11×#388C2211yescharacteristic, complemented
73C11×#388C2211yescharacteristic, complemented
74C11×#388C2212yescomplemented
75C11×#388C2212yescomplemented
76C11×#388C2212yescomplemented
77C11×#388C2212yescomplemented
78C11×#388C2212yescomplemented
79C11×#387C2211yescharacteristic, complemented
80C11×#387C2211yescharacteristic, complemented
81C11×#387C2212yescomplemented
82C11×#386C2211yescharacteristic
83C11×#386C2212yes—
84C11×#386C2211yescharacteristic
85C11×#386C2212yescomplemented
86C11×#386C2212yescomplemented
87C11×#386C2212yescomplemented
88C11×#386C2212yescomplemented
89C11×#386C2212yescomplemented
90C11×#386C2212yescomplemented
91C11×#386C2212yescomplemented
92C11×#386C2212yescomplemented
93C11×#386C2212yescomplemented
94C11×#386C2212yescomplemented
95C11×#386C2212yescomplemented
96C11×#386C2212yescomplemented
97C11×#386C2212yescomplemented
98C11×#386C2212yescomplemented
99C11×#385C2211yescharacteristic, complemented
100C11×#385C2211yescharacteristic, complemented
101C11×#385C2212yescomplemented
102C11×#385C2212yescomplemented
103C11×#385C2212yescomplemented
104C11×#385C2212yescomplemented
105C11×#382C2211yescharacteristic, complemented
106C11×#380C2211yescharacteristic, complemented
107C11×#380C2211yescharacteristic, complemented
108C11×#380C2212yescomplemented
109C11×#379C2212yescomplemented
110C11×#379C2212yescomplemented
111C4×C11×C4⋊C4C2211yescharacteristic, complemented
112C4×C11×C4⋊C4C2211yescharacteristic, complemented
113C4×C11×C4⋊C4C2211yescharacteristic, complemented
114C4×C11×C4⋊C4C2211yescharacteristic, complemented
115C4×C11×C22⋊C4C2212yescomplemented
116C4×C11×C22⋊C4C2212yescomplemented
117C4×C11×C22⋊C4C2212yescomplemented
118C4×C11×C22⋊C4C2211yescharacteristic, complemented
119C4×C11×C22⋊C4C2211yescharacteristic, complemented
120C4×C11×C22⋊C4C2212yescomplemented
121C4×C11×C22⋊C4C2212yescomplemented
122C4×C11×C22⋊C4C2212yescomplemented
123C11×#376C2211yescharacteristic, complemented
124C2×C11×#95C2212yescomplemented
125C2×C11×#95C2212yescomplemented
126C25×C11C2312yes—
127C25×C11C2312yes—
128C22×D4×C11—24no—
129C22×D4×C11—24no—
130C22×D4×C11—24no—
131C22×D4×C11—24no—
132C22×D4×C11—44no—
133C22×D4×C11—44no—
134C22×D4×C11C2×C418yescomplemented
135C22×D4×C11C2×C418yescomplemented
136C22×D4×C11C2×C4116yescomplemented
137C22×D4×C11C2311yescharacteristic
138C22×D4×C11C2312yes—
139C22×D4×C11C2312yes—
140C22×D4×C11C2311yescharacteristic
141C22×D4×C11C2312yes—
142C22×D4×C11C2311yescharacteristic
143C22×D4×C11C2312yes—
144C22×D4×C11C2312yes—
145C22×D4×C11C2312yes—
146C22×D4×C11C2311yescharacteristic
147C23×C4×C11—28no—
148C23×C4×C11—44no—
149C23×C4×C11—44no—
150C23×C4×C11C2311yescharacteristic
151C23×C4×C11C2311yescharacteristic
152C23×C4×C11C2312yes—
153C23×C4×C11C2312yes—
154C23×C4×C11C2312yes—
155C23×C4×C11C2311yescharacteristic
156C23×C4×C11C2311yescharacteristic
157C23×C4×C11C2312yes—
158C23×C4×C11C2312yes—
159C23×C4×C11C2312yes—
160C23×C4×C11C2312yes—
161C23×C4×C11C2312yes—
162C23×C4×C11C2312yes—
163C23×C4×C11C2312yes—
164C11×#127C2×C418yescomplemented
165C11×#121C2×C418yescomplemented
166C11×#121C2×C418yescomplemented
167C11×#121C2×C4116yescomplemented
168C11×#120C2×C4116yescomplemented
169C11×#120C2×C4116yescomplemented
170C4×D4×C11—24no—
171C4×D4×C11—24no—
172C4×D4×C11—24no—
173C4×D4×C11—28no—
174C4×D4×C11—28no—
175C4×D4×C11—24no—
176C4×D4×C11—24no—
177C4×D4×C11—28no—
178C4×D4×C11—28no—
179C4×D4×C11—24no—
180C4×D4×C11—24no—
181C4×D4×C11—44no—
182C4×D4×C11—44no—
183C4×D4×C11—44no—
184C4×D4×C11C2×C418yescomplemented
185C4×D4×C11C2×C418yescomplemented
186C4×D4×C11D418yescomplemented
187C11×#117—24no—
188C11×#117—24no—
189C2×C11×C4⋊C4—24no—
190C2×C11×C4⋊C4C2311yescharacteristic
191C2×C11×C4⋊C4C2312yes—
192C2×C11×C4⋊C4C2311yescharacteristic
193C2×C11×C4⋊C4C2311yescharacteristic
194C2×C11×C4⋊C4C2311yescharacteristic
195C2×C11×C4⋊C4C2311yescharacteristic
196C2×C11×C4⋊C4C2311yescharacteristic
197C2×C11×C4⋊C4C2312yes—
198C2×C11×C4⋊C4C2312yes—
199C2×C11×C4⋊C4C2311yescharacteristic
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C22⋊C4—28no—
204C2×C11×C22⋊C4—28no—
205C2×C11×C22⋊C4—28no—
206C2×C11×C22⋊C4—44no—
207C2×C11×C22⋊C4—44no—
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2312yes—
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2312yes—
214C2×C11×C22⋊C4C2312yes—
215C2×C11×C22⋊C4C2312yes—
216C2×C11×C22⋊C4C2312yes—
217C2×C11×C22⋊C4C2312yes—
218C2×C11×C22⋊C4C2312yes—
219C2×C11×C22⋊C4C2312yes—
220C2×C11×C22⋊C4C2312yes—
221C2×C11×C22⋊C4C2312yes—
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2312yes—
224C2×C11×C22⋊C4C2312yes—
225C2×C11×C22⋊C4C2312yes—
226C2×C11×C22⋊C4C2312yes—
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2312yes—
229C2×C11×C22⋊C4C2312yes—
230C2×C11×C22⋊C4C2312yes—
231C2×C11×C22⋊C4C2312yes—
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2312yes—
234C2×C11×C22⋊C4C2312yes—
235C2×C11×C22⋊C4C2312yes—
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2312yes—
238C2×C42×C11—24no—
239C2×C42×C11C2311yescharacteristic
240C2×C42×C11C2311yescharacteristic
241C2×C42×C11C2311yescharacteristic
242C2×C42×C11C2311yescharacteristic
243C2×C42×C11C2312yes—
244C2×C42×C11C2311yescharacteristic
245C2×C42×C11C2312yes—
246C2×C42×C11C2312yes—
247C2×C42×C11C2312yes—
248C2×C42×C11C2311yescharacteristic
249C2×C42×C11C2311yescharacteristic
250C11×#95C2311yescharacteristic
251C11×#95C2311yescharacteristic
252C11×#95C2312yes—
253C11×#95C2312yes—
254C11×#95C2312yes—
255C11×#95C2312yes—
256C11×#95C2312yes—
257C11×#95C2312yes—
258C11×#95C2311yescharacteristic
259C11×#95C2311yescharacteristic
260C11×#95C2311yescharacteristic
261C11×#95C2311yescharacteristic
262C11×#95C2312yes—
263C11×#95C2312yes—
264C11×#95C2312yes—
265C11×#95C2311yescharacteristic
266C11×#95C2311yescharacteristic
267C11×#95C2311yescharacteristic
268C11×#95C2311yescharacteristic
269#34290C1111yesmaximal, characteristic, direct product factor, Sylow
270C24×C11—24no—
271C24×C11—24no—
272C24×C11—24no—
273C24×C11—24no—
274C24×C11—24no—
275C24×C11—24no—
276C24×C11—42no—
277C24×C11—42no—
278C24×C11—42no—
279C24×C11—42no—
280C24×C11—42no—
281C24×C11—42no—
282C24×C11C22×C418yes—
283C24×C11C22×C418yescomplemented
284C24×C11C2411yescharacteristic
285C24×C11C2412yes—
286C24×C11C2412yes—
287C24×C11C2412yes—
288C24×C11C2411yescharacteristic
289C2×D4×C11—24no—
290C2×D4×C11—24no—
291C2×D4×C11—24no—
292C2×D4×C11—24no—
293C2×D4×C11—24no—
294C2×D4×C11—24no—
295C2×D4×C11—22no—
296C2×D4×C11—22no—
297C2×D4×C11—232no—
298C2×D4×C11—232no—
299C2×D4×C11—22no—
300C2×D4×C11—22no—
301C2×D4×C11—22no—
302C2×D4×C11—22no—
303C2×D4×C11—42no—
304C2×D4×C11—42no—
305C2×D4×C11—42no—
306C2×D4×C11—42no—
307C2×D4×C11—42no—
308C2×D4×C11—42no—
309C2×D4×C11—432no—
310C2×D4×C11C22×C414yes—
311C2×D4×C11C22×C418yes—
312C2×D4×C11C22×C418yes—
313C2×D4×C11C22×C414yes—
314C2×D4×C11C22×C414yes—
315C2×D4×C11C22×C418yescomplemented
316C2×D4×C11C22×C414yescomplemented
317C2×D4×C11C22×C418yescomplemented
318C2×D4×C11C22×C418yescomplemented
319C2×D4×C11C22×C418yescomplemented
320C2×D4×C11C2×D414yes—
321C2×D4×C11#4114yes—
322C22×C4×C11—22no—
323C22×C4×C11—22no—
324C22×C4×C11—22no—
325C22×C4×C11—22no—
326C22×C4×C11—22no—
327C22×C4×C11—22no—
328C22×C4×C11—22no—
329C22×C4×C11—24no—
330C22×C4×C11—22no—
331C22×C4×C11—24no—
332C22×C4×C11—24no—
333C22×C4×C11—24no—
334C22×C4×C11—22no—
335C22×C4×C11—24no—
336C22×C4×C11—24no—
337C22×C4×C11—24no—
338C22×C4×C11—24no—
339C22×C4×C11—24no—
340C22×C4×C11—24no—
341C22×C4×C11—24no—
342C22×C4×C11—42no—
343C22×C4×C11—42no—
344C22×C4×C11—42no—
345C22×C4×C11—42no—
346C22×C4×C11—42no—
347C22×C4×C11—42no—
348C22×C4×C11—42no—
349C22×C4×C11—41no—
350C22×C4×C11—42no—
351C22×C4×C11—42no—
352C22×C4×C11—42no—
353C22×C4×C11—42no—
354C22×C4×C11—42no—
355C22×C4×C11—42no—
356C22×C4×C11—42no—
357C22×C4×C11—42no—
358C22×C4×C11—42no—
359C22×C4×C11—42no—
360C22×C4×C11—432no—
361C22×C4×C11C22×C414yes—
362C22×C4×C11C22×C414yescomplemented
363C22×C4×C11C22×C418yescomplemented
364C22×C4×C11C2×D418yescomplemented
365C22×C4×C11C2411yescharacteristic
366C22×C4×C11C2411yescharacteristic
367C22×C4×C11C2412yes—
368C22×C4×C11C2411yescharacteristic
369C22×C4×C11C2412yes—
370C22×C4×C11C2412yes—
371C22×C4×C11C2411yescharacteristic
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2412yes—
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2412yes—
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C11×C4⋊C4—24no—
384C11×C4⋊C4—22no—
385C11×C4⋊C4—22no—
386C11×C4⋊C4—22no—
387C11×C4⋊C4—22no—
388C11×C4⋊C4—22no—
389C11×C4⋊C4—22no—
390C11×C4⋊C4—41no—
391C11×C4⋊C4—42no—
392C11×C4⋊C4—42no—
393C11×C4⋊C4C22×C414yescomplemented
394C11×C4⋊C4C22×C414yescomplemented
395C11×C4⋊C4C2×D414yescomplemented
396C11×C22⋊C4—24no—
397C11×C22⋊C4—24no—
398C11×C22⋊C4—24no—
399C11×C22⋊C4—22no—
400C11×C22⋊C4—24no—
401C11×C22⋊C4—22no—
402C11×C22⋊C4—22no—
403C11×C22⋊C4—22no—
404C11×C22⋊C4—24no—
405C11×C22⋊C4—24no—
406C11×C22⋊C4—24no—
407C11×C22⋊C4—24no—
408C11×C22⋊C4—24no—
409C11×C22⋊C4—22no—
410C11×C22⋊C4—24no—
411C11×C22⋊C4—42no—
412C11×C22⋊C4—42no—
413C11×C22⋊C4—42no—
414C11×C22⋊C4—42no—
415C11×C22⋊C4—41no—
416C11×C22⋊C4—42no—
417C11×C22⋊C4—42no—
418C11×C22⋊C4—42no—
419C11×C22⋊C4—42no—
420C11×C22⋊C4C22×C414yes—
421C11×C22⋊C4C22×C414yescomplemented
422C11×C22⋊C4C22×C418yescomplemented
423C11×C22⋊C4C22×C418yescomplemented
424C11×C22⋊C4C22×C418yescomplemented
425C11×C22⋊C4C2×D418yescomplemented
426C42×C11—22no—
427C42×C11—22no—
428C42×C11—22no—
429C42×C11—24no—
430C42×C11—22no—
431C42×C11—22no—
432C42×C11—42no—
433C42×C11—42no—
434C42×C11—42no—
435C42×C11C22×C414yescomplemented
436C42×C11C2×D414yescomplemented
437C2×D42C2×C1111yescharacteristic
438C2×#518C2×C1111yescharacteristic, complemented
439C22×C4×D4C2×C1111yescharacteristic, complemented
440#2366C2×C1111yescharacteristic, complemented
441#2364C2×C1112yescomplemented
442#2363C2×C1111yescharacteristic, complemented
443#2361C2×C1111yescharacteristic, complemented
444#2358C2×C1112yescomplemented
445#2358C2×C1112yescomplemented
446#2352C2×C1111yescharacteristic, complemented
447#2349C2×C1111yescharacteristic, complemented
448D4×C22⋊C4C2×C1111yescharacteristic, complemented
449D4×C22⋊C4C2×C1111yescharacteristic, complemented
450D4×C22⋊C4C2×C1112yescomplemented
451#2328C2×C1111yescharacteristic, complemented
452#2325C2×C1112yescomplemented
453#2324C2×C1111yescharacteristic, complemented
454#2321C2×C1112yescomplemented
455C4×#121C2×C1111yescharacteristic, complemented
456C4×#120C2×C1112yescomplemented
457#2290C2×C1111yescharacteristic, complemented
458C2×#386C2×C1112yescomplemented
459#2275C2×C1111yescharacteristic, complemented
460C23×C11—21no—
461C23×C11—21no—
462C23×C11—21no—
463C23×C11—22no—
464C23×C11—22no—
465C23×C11—22no—
466C23×C11—21no—
467C23×C11—22no—
468C23×C11—216no—
469C23×C11—216no—
470C23×C11—21no—
471C23×C11—22no—
472C23×C11—22no—
473C23×C11—21no—
474C23×C11—22no—
475C23×C11—22no—
476C23×C11—21no—
477C23×C11—22no—
478C23×C11—22no—
479C23×C11—22no—
480C23×C11—22no—
481C23×C11—22no—
482C23×C11—22no—
483C23×C11—21no—
484C23×C11—21no—
485C23×C11—22no—
486C23×C11—21no—
487C23×C11—22no—
488C23×C11—216no—
489C23×C11—48no—
490C23×C11—48no—
491C23×C11—48no—
492C23×C11—48no—
493C23×C11—48no—
494C23×C11—48no—
495C23×C11—48no—
496C23×C11—84no—
497C23×C11—84no—
498C23×C11—84no—
499C23×C11—84no—
500C23×C11C23×C412yes—
501C23×C11C23×C414yes—
502C23×C11C23×C414yes—
503C23×C11C23×C414yes—
504C23×C11C23×C412yes—
505C23×C11C22×D414yes—
506C23×C11C2×#4114yes—
507C23×C11H(5,𝔽2)12yes—
508C23×C11H(5,𝔽2)12yes—
509C23×C11C2511yescharacteristic
510D4×C11—216no—
511D4×C11—216no—
512D4×C11—28no—
513D4×C11—216no—
514D4×C11—28no—
515D4×C11—28no—
516D4×C11—48no—
517D4×C11—48no—
518D4×C11—48no—
519D4×C11C4×D4116yescomplemented
520C2×C4×C11—28no—
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—22no—
529C2×C4×C11—22no—
530C2×C4×C11—22no—
531C2×C4×C11—22no—
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—28no—
540C2×C4×C11—28no—
541C2×C4×C11—21no—
542C2×C4×C11—21no—
543C2×C4×C11—22no—
544C2×C4×C11—21no—
545C2×C4×C11—22no—
546C2×C4×C11—21no—
547C2×C4×C11—21no—
548C2×C4×C11—22no—
549C2×C4×C11—21no—
550C2×C4×C11—22no—
551C2×C4×C11—22no—
552C2×C4×C11—21no—
553C2×C4×C11—21no—
554C2×C4×C11—21no—
555C2×C4×C11—22no—
556C2×C4×C11—21no—
557C2×C4×C11—21no—
558C2×C4×C11—21no—
559C2×C4×C11—22no—
560C2×C4×C11—22no—
561C2×C4×C11—21no—
562C2×C4×C11—21no—
563C2×C4×C11—22no—
564C2×C4×C11—21no—
565C2×C4×C11—48no—
566C2×C4×C11—48no—
567C2×C4×C11—48no—
568C2×C4×C11—44no—
569C2×C4×C11—48no—
570C2×C4×C11—48no—
571C2×C4×C11—48no—
572C2×C4×C11—84no—
573C2×C4×C11—84no—
574C2×C4×C11—84no—
575C2×C4×C11—84no—
576C2×C4×C11C23×C412yes—
577C2×C4×C11C23×C412yes—
578C2×C4×C11C23×C412yes—
579C2×C4×C11C23×C412yes—
580C2×C4×C11C23×C414yes—
581C2×C4×C11C23×C412yes—
582C2×C4×C11C22×D412yes—
583C2×C4×C11C22×D412yes—
584C2×C4×C11C22×D414yes—
585C2×C4×C11C22×D412yes—
586C2×C4×C11C2×#4112yes—
587C2×C4×C11H(5,𝔽2)12yes—
588C23×D4C22×C1111yescharacteristic
589C23×D4C22×C1111yescharacteristic
590C23×D4C22×C1112yes—
591C24×C4C22×C1112yescomplemented
592D42C4×C11116yescomplemented
593C2×#127C22×C1111yescharacteristic
594C2×#121C22×C1111yescharacteristic
595C2×#121C22×C1112yes—
596C2×#121C22×C1111yescharacteristic
597C2×#120C22×C1112yes—
598C2×#120C22×C1112yes—
599#518—28no—
600C2×C4×D4—28no—
601C2×C4×D4C22×C1111yescharacteristic
602C2×C4×D4C22×C1111yescharacteristic
603C2×C4×D4C22×C1111yescharacteristic
604C2×C4×D4C22×C1111yescharacteristic
605C2×C4×D4C22×C1111yescharacteristic
606C2×C4×D4C22×C1111yescharacteristic
607C2×C4×D4C22×C1112yescomplemented
608C2×C4×D4C22×C1111yescharacteristic, complemented
609C2×C4×D4C22×C1112yescomplemented
610C2×C4×D4C22×C1111yescharacteristic, complemented
611C2×C4×D4C22×C1112yescomplemented
612C2×C4×D4C22×C1112yescomplemented
613C2×C4×D4C22×C1111yescharacteristic, complemented
614C2×C4×D4C22×C1111yescharacteristic, complemented
615C2×C4×D4C22×C1112yescomplemented
616C2×C4×D4C22×C1112yescomplemented
617C2×C4×D4C22×C1112yescomplemented
618C2×#117C22×C1111yescharacteristic, complemented
619C2×#117C22×C1111yescharacteristic, complemented
620C22×C4⋊C4C22×C1111yescharacteristic, complemented
621C22×C22⋊C4C22×C1112yescomplemented
622C22×C22⋊C4C22×C1112yescomplemented
623C22×C22⋊C4C22×C1112yescomplemented
624C22×C22⋊C4C22×C1112yescomplemented
625C22×C22⋊C4C22×C1112yescomplemented
626C22×C42C22×C1111yescharacteristic, complemented
627#390C22×C1112yescomplemented
628#390C22×C1112yescomplemented
629#390C22×C1112yescomplemented
630#390C22×C1111yescharacteristic, complemented
631#390C22×C1111yescharacteristic, complemented
632#390C22×C1111yescharacteristic, complemented
633#390C22×C1111yescharacteristic, complemented
634#389C22×C1111yescharacteristic, complemented
635#389C22×C1111yescharacteristic, complemented
636#388C22×C1111yescharacteristic, complemented
637#388C22×C1112yescomplemented
638#388C22×C1112yescomplemented
639#388C22×C1112yescomplemented
640#388C22×C1112yescomplemented
641#388C22×C1112yescomplemented
642#388C22×C1111yescharacteristic, complemented
643#387C22×C1111yescharacteristic, complemented
644#387C22×C1112yescomplemented
645#387C22×C1111yescharacteristic, complemented
646#386C22×C1111yescharacteristic
647#386C22×C1112yes—
648#386C22×C1111yescharacteristic
649#386C22×C1112yescomplemented
650#386C22×C1112yescomplemented
651#386C22×C1112yescomplemented
652#386C22×C1112yescomplemented
653#386C22×C1112yescomplemented
654#386C22×C1112yescomplemented
655#386C22×C1112yescomplemented
656#386C22×C1112yescomplemented
657#386C22×C1112yescomplemented
658#386C22×C1112yescomplemented
659#386C22×C1112yescomplemented
660#386C22×C1112yescomplemented
661#386C22×C1112yescomplemented
662#386C22×C1112yescomplemented
663#385C22×C1112yescomplemented
664#385C22×C1112yescomplemented
665#385C22×C1112yescomplemented
666#385C22×C1112yescomplemented
667#385C22×C1111yescharacteristic, complemented
668#385C22×C1111yescharacteristic, complemented
669#382C22×C1111yescharacteristic, complemented
670#380C22×C1111yescharacteristic, complemented
671#380C22×C1112yescomplemented
672#380C22×C1111yescharacteristic, complemented
673#379C22×C1112yescomplemented
674#379C22×C1112yescomplemented
675C4×C4⋊C4C22×C1111yescharacteristic, complemented
676C4×C4⋊C4C22×C1111yescharacteristic, complemented
677C4×C4⋊C4C22×C1111yescharacteristic, complemented
678C4×C4⋊C4C22×C1111yescharacteristic, complemented
679C4×C22⋊C4C22×C1112yescomplemented
680C4×C22⋊C4C22×C1111yescharacteristic, complemented
681C4×C22⋊C4C22×C1111yescharacteristic, complemented
682C4×C22⋊C4C22×C1112yescomplemented
683C4×C22⋊C4C22×C1112yescomplemented
684C4×C22⋊C4C22×C1112yescomplemented
685C4×C22⋊C4C22×C1112yescomplemented
686C4×C22⋊C4C22×C1112yescomplemented
687#376C22×C1111yescharacteristic, complemented
688C2×#95C22×C1112yescomplemented
689C2×#95C22×C1112yescomplemented
690C22×C11—22no—
691C22×C11—24no—
692C22×C11—22no—
693C22×C11—24no—
694C22×C11—22no—
695C22×C11—24no—
696C22×C11—22no—
697C22×C11—24no—
698C22×C11—22no—
699C22×C11—24no—
700C22×C11—24no—
701C22×C11—22no—
702C22×C11—22no—
703C22×C11—24no—
704C22×C11—24no—
705C22×C11—22no—
706C22×C11—24no—
707C22×C11—24no—
708C22×C11—24no—
709C22×C11—24no—
710C22×C11—22no—
711C22×C11—432no—
712C22×C11—42no—
713C22×C11—42no—
714C22×C11—41no—
715C22×C11—42no—
716C22×C11—42no—
717C22×C11—41no—
718C22×C11—42no—
719C22×C11—42no—
720C22×C11—41no—
721C22×C11—42no—
722C22×C11—42no—
723C22×C11—41no—
724C22×C11—816no—
725C22×C11C2×C4×D418yes—
726C22×C11#51814yescomplemented
727C22×C11C24×C411yescharacteristic
728C22×C11C23×D411yescharacteristic
729C22×C11C22×#4111yescharacteristic
730C22×C11C2×H(5,𝔽2)11yescharacteristic
731C22×C11C2×H(5,𝔽2)11yescharacteristic
732C22×C11C2×H(5,𝔽2)11yescharacteristic
733C22×C11#58511yescharacteristic
734C4×C11—22no—
735C4×C11—22no—
736C4×C11—22no—
737C4×C11—24no—
738C4×C11—22no—
739C4×C11—22no—
740C4×C11—22no—
741C4×C11—24no—
742C4×C11—22no—
743C4×C11—42no—
744C4×C11—41no—
745C4×C11—41no—
746C4×C11—41no—
747C4×C11—42no—
748C4×C11—41no—
749C4×C11—42no—
750C4×C11—41no—
751C4×C11C2×C4×D414yes—
752C25C23×C1112yes—
753C25C23×C1112yes—
754C22×D4—24no—
755C22×D4—24no—
756C22×D4—24no—
757C22×D4—24no—
758C22×D4—44no—
759C22×D4—44no—
760C22×D4C2×C4×C1118yescomplemented
761C22×D4C2×C4×C1118yescomplemented
762C22×D4C2×C4×C11116yescomplemented
763C22×D4C23×C1111yescharacteristic
764C22×D4C23×C1112yes—
765C22×D4C23×C1112yes—
766C22×D4C23×C1111yescharacteristic
767C22×D4C23×C1112yes—
768C22×D4C23×C1111yescharacteristic
769C22×D4C23×C1112yes—
770C22×D4C23×C1112yes—
771C22×D4C23×C1112yes—
772C22×D4C23×C1111yescharacteristic
773C23×C4—28no—
774C23×C4—44no—
775C23×C4—44no—
776C23×C4C23×C1111yescharacteristic
777C23×C4C23×C1111yescharacteristic
778C23×C4C23×C1112yes—
779C23×C4C23×C1112yes—
780C23×C4C23×C1112yes—
781C23×C4C23×C1111yescharacteristic
782C23×C4C23×C1111yescharacteristic
783C23×C4C23×C1112yes—
784C23×C4C23×C1112yes—
785C23×C4C23×C1112yes—
786C23×C4C23×C1112yes—
787C23×C4C23×C1112yes—
788C23×C4C23×C1112yes—
789C23×C4C23×C1112yes—
790#127C2×C4×C1118yescomplemented
791#121C2×C4×C1118yescomplemented
792#121C2×C4×C1118yescomplemented
793#121C2×C4×C11116yescomplemented
794#120C2×C4×C11116yescomplemented
795#120C2×C4×C11116yescomplemented
796C4×D4—24no—
797C4×D4—24no—
798C4×D4—24no—
799C4×D4—28no—
800C4×D4—28no—
801C4×D4—24no—
802C4×D4—24no—
803C4×D4—28no—
804C4×D4—28no—
805C4×D4—24no—
806C4×D4—24no—
807C4×D4—44no—
808C4×D4—44no—
809C4×D4—44no—
810C4×D4C2×C4×C1118yescomplemented
811C4×D4C2×C4×C1118yescomplemented
812C4×D4D4×C1118yescomplemented
813#117—24no—
814#117—24no—
815C2×C4⋊C4—24no—
816C2×C4⋊C4C23×C1111yescharacteristic
817C2×C4⋊C4C23×C1112yes—
818C2×C4⋊C4C23×C1111yescharacteristic
819C2×C4⋊C4C23×C1111yescharacteristic
820C2×C4⋊C4C23×C1111yescharacteristic
821C2×C4⋊C4C23×C1111yescharacteristic
822C2×C4⋊C4C23×C1111yescharacteristic
823C2×C4⋊C4C23×C1112yes—
824C2×C4⋊C4C23×C1112yes—
825C2×C4⋊C4C23×C1111yescharacteristic
826C2×C4⋊C4C23×C1111yescharacteristic
827C2×C4⋊C4C23×C1111yescharacteristic
828C2×C4⋊C4C23×C1111yescharacteristic
829C2×C22⋊C4—28no—
830C2×C22⋊C4—28no—
831C2×C22⋊C4—28no—
832C2×C22⋊C4—44no—
833C2×C22⋊C4—44no—
834C2×C22⋊C4C23×C1111yescharacteristic
835C2×C22⋊C4C23×C1112yes—
836C2×C22⋊C4C23×C1111yescharacteristic
837C2×C22⋊C4C23×C1111yescharacteristic
838C2×C22⋊C4C23×C1111yescharacteristic
839C2×C22⋊C4C23×C1112yes—
840C2×C22⋊C4C23×C1112yes—
841C2×C22⋊C4C23×C1112yes—
842C2×C22⋊C4C23×C1112yes—
843C2×C22⋊C4C23×C1112yes—
844C2×C22⋊C4C23×C1112yes—
845C2×C22⋊C4C23×C1112yes—
846C2×C22⋊C4C23×C1112yes—
847C2×C22⋊C4C23×C1112yes—
848C2×C22⋊C4C23×C1111yescharacteristic
849C2×C22⋊C4C23×C1112yes—
850C2×C22⋊C4C23×C1112yes—
851C2×C22⋊C4C23×C1112yes—
852C2×C22⋊C4C23×C1112yes—
853C2×C22⋊C4C23×C1112yes—
854C2×C22⋊C4C23×C1112yes—
855C2×C22⋊C4C23×C1112yes—
856C2×C22⋊C4C23×C1111yescharacteristic
857C2×C22⋊C4C23×C1112yes—
858C2×C22⋊C4C23×C1111yescharacteristic
859C2×C22⋊C4C23×C1112yes—
860C2×C22⋊C4C23×C1111yescharacteristic
861C2×C22⋊C4C23×C1112yes—
862C2×C22⋊C4C23×C1112yes—
863C2×C22⋊C4C23×C1112yes—
864C2×C42—24no—
865C2×C42C23×C1111yescharacteristic
866C2×C42C23×C1112yes—
867C2×C42C23×C1111yescharacteristic
868C2×C42C23×C1111yescharacteristic
869C2×C42C23×C1111yescharacteristic
870C2×C42C23×C1111yescharacteristic
871C2×C42C23×C1112yes—
872C2×C42C23×C1112yes—
873C2×C42C23×C1112yes—
874C2×C42C23×C1111yescharacteristic
875C2×C42C23×C1111yescharacteristic
876#95C23×C1111yescharacteristic
877#95C23×C1111yescharacteristic
878#95C23×C1112yes—
879#95C23×C1112yes—
880#95C23×C1112yes—
881#95C23×C1112yes—
882#95C23×C1112yes—
883#95C23×C1112yes—
884#95C23×C1111yescharacteristic
885#95C23×C1111yescharacteristic
886#95C23×C1111yescharacteristic
887#95C23×C1111yescharacteristic
888#95C23×C1112yes—
889#95C23×C1112yes—
890#95C23×C1112yes—
891#95C23×C1111yescharacteristic
892#95C23×C1111yescharacteristic
893#95C23×C1111yescharacteristic
894#95C23×C1111yescharacteristic
895C2×C11—24no—
896C2×C11—28no—
897C2×C11—44no—
898C2×C11—44no—
899C2×C11—42no—
900C2×C11C22×C4×D411yescharacteristic
901C2×C11C2×#51811yescharacteristic
902C2×C11C4×H(5,𝔽2)11yescharacteristic
903C2×C11#348411yescharacteristic
904C2×C11#348811yescharacteristic
905C2×C11#351311yescharacteristic
906C2×C11#351911yescharacteristic
907C24—24no—
908C24—24no—
909C24—24no—
910C24—24no—
911C24—24no—
912C24—24no—
913C24—42no—
914C24—42no—
915C24—42no—
916C24—42no—
917C24—42no—
918C24—42no—
919C24C22×C4×C1118yes—
920C24C22×C4×C1118yescomplemented
921C24C24×C1111yescharacteristic
922C24C24×C1112yes—
923C24C24×C1112yes—
924C24C24×C1112yes—
925C24C24×C1111yescharacteristic
926C2×D4—24no—
927C2×D4—24no—
928C2×D4—24no—
929C2×D4—24no—
930C2×D4—24no—
931C2×D4—24no—
932C2×D4—22no—
933C2×D4—22no—
934C2×D4—232no—
935C2×D4—232no—
936C2×D4—22no—
937C2×D4—22no—
938C2×D4—22no—
939C2×D4—22no—
940C2×D4—42no—
941C2×D4—42no—
942C2×D4—42no—
943C2×D4—42no—
944C2×D4—42no—
945C2×D4—42no—
946C2×D4—432no—
947C2×D4C22×C4×C1114yes—
948C2×D4C22×C4×C1118yes—
949C2×D4C22×C4×C1118yes—
950C2×D4C22×C4×C1114yes—
951C2×D4C22×C4×C1114yes—
952C2×D4C22×C4×C1118yescomplemented
953C2×D4C22×C4×C1114yescomplemented
954C2×D4C22×C4×C1118yescomplemented
955C2×D4C22×C4×C1118yescomplemented
956C2×D4C22×C4×C1118yescomplemented
957C2×D4C2×D4×C1114yes—
958C2×D4C11×#4114yes—
959C22×C4—22no—
960C22×C4—22no—
961C22×C4—22no—
962C22×C4—22no—
963C22×C4—22no—
964C22×C4—22no—
965C22×C4—22no—
966C22×C4—24no—
967C22×C4—22no—
968C22×C4—24no—
969C22×C4—24no—
970C22×C4—24no—
971C22×C4—22no—
972C22×C4—24no—
973C22×C4—24no—
974C22×C4—24no—
975C22×C4—24no—
976C22×C4—24no—
977C22×C4—24no—
978C22×C4—24no—
979C22×C4—42no—
980C22×C4—42no—
981C22×C4—42no—
982C22×C4—42no—
983C22×C4—42no—
984C22×C4—42no—
985C22×C4—42no—
986C22×C4—42no—
987C22×C4—42no—
988C22×C4—41no—
989C22×C4—42no—
990C22×C4—42no—
991C22×C4—42no—
992C22×C4—42no—
993C22×C4—42no—
994C22×C4—42no—
995C22×C4—42no—
996C22×C4—42no—
997C22×C4—432no—
998C22×C4C22×C4×C1114yes—
999C22×C4C22×C4×C1114yescomplemented
1000C22×C4C22×C4×C1118yescomplemented
1001C22×C4C2×D4×C1118yescomplemented
1002C22×C4C24×C1111yescharacteristic
1003C22×C4C24×C1111yescharacteristic
1004C22×C4C24×C1112yes—
1005C22×C4C24×C1111yescharacteristic
1006C22×C4C24×C1112yes—
1007C22×C4C24×C1112yes—
1008C22×C4C24×C1111yescharacteristic
1009C22×C4C24×C1111yescharacteristic
1010C22×C4C24×C1111yescharacteristic
1011C22×C4C24×C1111yescharacteristic
1012C22×C4C24×C1111yescharacteristic
1013C22×C4C24×C1111yescharacteristic
1014C22×C4C24×C1112yes—
1015C22×C4C24×C1111yescharacteristic
1016C22×C4C24×C1111yescharacteristic
1017C22×C4C24×C1112yes—
1018C22×C4C24×C1111yescharacteristic
1019C22×C4C24×C1111yescharacteristic
1020C4⋊C4—24no—
1021C4⋊C4—22no—
1022C4⋊C4—22no—
1023C4⋊C4—22no—
1024C4⋊C4—22no—
1025C4⋊C4—22no—
1026C4⋊C4—22no—
1027C4⋊C4—42no—
1028C4⋊C4—42no—
1029C4⋊C4—41no—
1030C4⋊C4C22×C4×C1114yescomplemented
1031C4⋊C4C22×C4×C1114yescomplemented
1032C4⋊C4C2×D4×C1114yescomplemented
1033C22⋊C4—24no—
1034C22⋊C4—24no—
1035C22⋊C4—24no—
1036C22⋊C4—22no—
1037C22⋊C4—24no—
1038C22⋊C4—22no—
1039C22⋊C4—22no—
1040C22⋊C4—22no—
1041C22⋊C4—24no—
1042C22⋊C4—24no—
1043C22⋊C4—24no—
1044C22⋊C4—24no—
1045C22⋊C4—24no—
1046C22⋊C4—22no—
1047C22⋊C4—24no—
1048C22⋊C4—42no—
1049C22⋊C4—42no—
1050C22⋊C4—42no—
1051C22⋊C4—42no—
1052C22⋊C4—42no—
1053C22⋊C4—42no—
1054C22⋊C4—42no—
1055C22⋊C4—41no—
1056C22⋊C4—42no—
1057C22⋊C4C22×C4×C1114yes—
1058C22⋊C4C22×C4×C1114yescomplemented
1059C22⋊C4C22×C4×C1118yescomplemented
1060C22⋊C4C22×C4×C1118yescomplemented
1061C22⋊C4C22×C4×C1118yescomplemented
1062C22⋊C4C2×D4×C1118yescomplemented
1063C42—22no—
1064C42—22no—
1065C42—22no—
1066C42—24no—
1067C42—22no—
1068C42—22no—
1069C42—42no—
1070C42—42no—
1071C42—42no—
1072C42C22×C4×C1114yescomplemented
1073C42C2×D4×C1114yescomplemented
1074C11#3429011yescharacteristic, direct product factor, Sylow
1075C23—21no—
1076C23—21no—
1077C23—21no—
1078C23—22no—
1079C23—22no—
1080C23—22no—
1081C23—21no—
1082C23—22no—
1083C23—216no—
1084C23—216no—
1085C23—21no—
1086C23—22no—
1087C23—22no—
1088C23—21no—
1089C23—22no—
1090C23—22no—
1091C23—21no—
1092C23—22no—
1093C23—22no—
1094C23—22no—
1095C23—22no—
1096C23—22no—
1097C23—22no—
1098C23—21no—
1099C23—21no—
1100C23—22no—
1101C23—21no—
1102C23—22no—
1103C23—216no—
1104C23—48no—
1105C23—48no—
1106C23—48no—
1107C23—48no—
1108C23—48no—
1109C23—48no—
1110C23—48no—
1111C23—84no—
1112C23—84no—
1113C23—84no—
1114C23—84no—
1115C23C23×C4×C1112yes—
1116C23C23×C4×C1114yes—
1117C23C23×C4×C1114yes—
1118C23C23×C4×C1114yes—
1119C23C23×C4×C1112yes—
1120C23C22×D4×C1114yes—
1121C23C2×C11×#4114yes—
1122C23C11×H(5,𝔽2)12yes—
1123C23C11×H(5,𝔽2)12yes—
1124C23C25×C1111yescharacteristic
1125D4—216no—
1126D4—216no—
1127D4—28no—
1128D4—216no—
1129D4—28no—
1130D4—28no—
1131D4—48no—
1132D4—48no—
1133D4—48no—
1134D4C4×D4×C11116yescomplemented
1135C2×C4—28no—
1136C2×C4—21no—
1137C2×C4—21no—
1138C2×C4—21no—
1139C2×C4—21no—
1140C2×C4—21no—
1141C2×C4—21no—
1142C2×C4—21no—
1143C2×C4—22no—
1144C2×C4—22no—
1145C2×C4—22no—
1146C2×C4—22no—
1147C2×C4—21no—
1148C2×C4—21no—
1149C2×C4—21no—
1150C2×C4—21no—
1151C2×C4—21no—
1152C2×C4—21no—
1153C2×C4—21no—
1154C2×C4—28no—
1155C2×C4—28no—
1156C2×C4—21no—
1157C2×C4—21no—
1158C2×C4—22no—
1159C2×C4—21no—
1160C2×C4—22no—
1161C2×C4—21no—
1162C2×C4—21no—
1163C2×C4—22no—
1164C2×C4—21no—
1165C2×C4—22no—
1166C2×C4—22no—
1167C2×C4—21no—
1168C2×C4—21no—
1169C2×C4—21no—
1170C2×C4—22no—
1171C2×C4—21no—
1172C2×C4—21no—
1173C2×C4—21no—
1174C2×C4—22no—
1175C2×C4—22no—
1176C2×C4—21no—
1177C2×C4—21no—
1178C2×C4—22no—
1179C2×C4—21no—
1180C2×C4—48no—
1181C2×C4—48no—
1182C2×C4—48no—
1183C2×C4—44no—
1184C2×C4—48no—
1185C2×C4—48no—
1186C2×C4—48no—
1187C2×C4—84no—
1188C2×C4—84no—
1189C2×C4—84no—
1190C2×C4—84no—
1191C2×C4C23×C4×C1112yes—
1192C2×C4C23×C4×C1112yes—
1193C2×C4C23×C4×C1112yes—
1194C2×C4C23×C4×C1112yes—
1195C2×C4C23×C4×C1114yes—
1196C2×C4C23×C4×C1112yes—
1197C2×C4C22×D4×C1112yes—
1198C2×C4C22×D4×C1112yes—
1199C2×C4C22×D4×C1114yes—
1200C2×C4C22×D4×C1112yes—
1201C2×C4C2×C11×#4112yes—
1202C2×C4C11×H(5,𝔽2)12yes—
1203C22—22no—
1204C22—24no—
1205C22—22no—
1206C22—24no—
1207C22—22no—
1208C22—24no—
1209C22—22no—
1210C22—24no—
1211C22—22no—
1212C22—24no—
1213C22—24no—
1214C22—22no—
1215C22—22no—
1216C22—24no—
1217C22—24no—
1218C22—22no—
1219C22—24no—
1220C22—24no—
1221C22—24no—
1222C22—24no—
1223C22—22no—
1224C22—432no—
1225C22—42no—
1226C22—42no—
1227C22—41no—
1228C22—42no—
1229C22—42no—
1230C22—41no—
1231C22—42no—
1232C22—41no—
1233C22—42no—
1234C22—42no—
1235C22—41no—
1236C22—42no—
1237C22—816no—
1238C22C2×C4×D4×C1118yes—
1239C22C11×#51814yescomplemented
1240C22C24×C4×C1111yescharacteristic
1241C22C23×D4×C1111yescharacteristic
1242C22C22×C11×#4111yescharacteristic
1243C22C2×C11×H(5,𝔽2)11yescharacteristic
1244C22C2×C11×H(5,𝔽2)11yescharacteristic
1245C22C2×C11×H(5,𝔽2)11yescharacteristic
1246C22C11×#58511yescharacteristic
1247C4—22no—
1248C4—22no—
1249C4—22no—
1250C4—24no—
1251C4—22no—
1252C4—22no—
1253C4—22no—
1254C4—24no—
1255C4—22no—
1256C4—42no—
1257C4—41no—
1258C4—41no—
1259C4—41no—
1260C4—42no—
1261C4—41no—
1262C4—41no—
1263C4—42no—
1264C4C2×C4×D4×C1114yes—
1265C2—24no—
1266C2—28no—
1267C2—44no—
1268C2—42no—
1269C2—44no—
1270C2C22×C4×D4×C1111yescharacteristic
1271C2C2×C11×#51811yescharacteristic
1272C2C4×C11×H(5,𝔽2)11yescharacteristic
1273C2C11×#348411yescharacteristic
1274C2C11×#348811yescharacteristic
1275C2C11×#351311yescharacteristic
1276C2C11×#351911yescharacteristic
subgroupG/H
center, socleC23×C11C25
commutatorC22C24×C4×C11
Frattini, cosocleC23C25×C11
prime radicalC2×D42×C11C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C11×#518C2semidirect
3. C22×C4×D4×C11C2semidirect
4. C11×#2366C2semidirect
5. C11×#2364C2semidirect
6. C11×#2363C2semidirect
7. C11×#2361C2semidirect
8. C11×#2358C2semidirect
9. C11×#2358C2semidirect
10. C11×#2352C2semidirect
11. C11×#2349C2semidirect
12. D4×C11×C22⋊C4C2semidirect
13. D4×C11×C22⋊C4C2semidirect
14. D4×C11×C22⋊C4C2semidirect
15. C11×#2328C2semidirect
16. C11×#2325C2semidirect
17. C11×#2324C2semidirect
18. C11×#2321C2semidirect
19. C4×C11×#121C2semidirect
20. C4×C11×#120C2semidirect
21. C11×#2290C2semidirect
22. C2×C11×#386C2semidirect
23. C11×#2275C2semidirect
27. C24×C4×C11C22semidirect
28. D42×C11C4semidirect
43. C2×C4×D4×C11C22semidirect
44. C2×C4×D4×C11C22semidirect
45. C2×C4×D4×C11C22semidirect
46. C2×C4×D4×C11C22semidirect
47. C2×C4×D4×C11C22semidirect
48. C2×C4×D4×C11C22semidirect
49. C2×C4×D4×C11C22semidirect
50. C2×C4×D4×C11C22semidirect
51. C2×C4×D4×C11C22semidirect
52. C2×C4×D4×C11C22semidirect
53. C2×C4×D4×C11C22semidirect
54. C2×C11×#117C22semidirect
55. C2×C11×#117C22semidirect
56. C22×C11×C4⋊C4C22semidirect
57. C22×C11×C22⋊C4C22semidirect
58. C22×C11×C22⋊C4C22semidirect
59. C22×C11×C22⋊C4C22semidirect
60. C22×C11×C22⋊C4C22semidirect
61. C22×C11×C22⋊C4C22semidirect
62. C22×C42×C11C22semidirect
63. C11×#390C22semidirect
64. C11×#390C22semidirect
65. C11×#390C22semidirect
66. C11×#390C22semidirect
67. C11×#390C22semidirect
68. C11×#390C22semidirect
69. C11×#390C22semidirect
70. C11×#389C22semidirect
71. C11×#389C22semidirect
72. C11×#388C22semidirect
73. C11×#388C22semidirect
74. C11×#388C22semidirect
75. C11×#388C22semidirect
76. C11×#388C22semidirect
77. C11×#388C22semidirect
78. C11×#388C22semidirect
79. C11×#387C22semidirect
80. C11×#387C22semidirect
81. C11×#387C22semidirect
85. C11×#386C22semidirect
86. C11×#386C22semidirect
87. C11×#386C22semidirect
88. C11×#386C22semidirect
89. C11×#386C22semidirect
90. C11×#386C22semidirect
91. C11×#386C22semidirect
92. C11×#386C22semidirect
93. C11×#386C22semidirect
94. C11×#386C22semidirect
95. C11×#386C22semidirect
96. C11×#386C22semidirect
97. C11×#386C22semidirect
98. C11×#386C22semidirect
99. C11×#385C22semidirect
100. C11×#385C22semidirect
101. C11×#385C22semidirect
102. C11×#385C22semidirect
103. C11×#385C22semidirect
104. C11×#385C22semidirect
105. C11×#382C22semidirect
106. C11×#380C22semidirect
107. C11×#380C22semidirect
108. C11×#380C22semidirect
109. C11×#379C22semidirect
110. C11×#379C22semidirect
111. C4×C11×C4⋊C4C22semidirect
112. C4×C11×C4⋊C4C22semidirect
113. C4×C11×C4⋊C4C22semidirect
114. C4×C11×C4⋊C4C22semidirect
115. C4×C11×C22⋊C4C22semidirect
116. C4×C11×C22⋊C4C22semidirect
117. C4×C11×C22⋊C4C22semidirect
118. C4×C11×C22⋊C4C22semidirect
119. C4×C11×C22⋊C4C22semidirect
120. C4×C11×C22⋊C4C22semidirect
121. C4×C11×C22⋊C4C22semidirect
122. C4×C11×C22⋊C4C22semidirect
123. C11×#376C22semidirect
124. C2×C11×#95C22semidirect
125. C2×C11×#95C22semidirect
134. C22×D4×C11C2×C4semidirect
135. C22×D4×C11C2×C4semidirect
136. C22×D4×C11C2×C4semidirect
164. C11×#127C2×C4semidirect
165. C11×#121C2×C4semidirect
166. C11×#121C2×C4semidirect
167. C11×#121C2×C4semidirect
168. C11×#120C2×C4semidirect
169. C11×#120C2×C4semidirect
184. C4×D4×C11C2×C4semidirect
185. C4×D4×C11C2×C4semidirect
186. C4×D4×C11D4semidirect
269. #34290C11direct (N × H)
283. C24×C11C22×C4semidirect
315. C2×D4×C11C22×C4semidirect
316. C2×D4×C11C22×C4semidirect
317. C2×D4×C11C22×C4semidirect
318. C2×D4×C11C22×C4semidirect
319. C2×D4×C11C22×C4semidirect
362. C22×C4×C11C22×C4semidirect
363. C22×C4×C11C22×C4semidirect
364. C22×C4×C11C2×D4semidirect
393. C11×C4⋊C4C22×C4semidirect
394. C11×C4⋊C4C22×C4semidirect
395. C11×C4⋊C4C2×D4semidirect
421. C11×C22⋊C4C22×C4semidirect
422. C11×C22⋊C4C22×C4semidirect
423. C11×C22⋊C4C22×C4semidirect
424. C11×C22⋊C4C22×C4semidirect
425. C11×C22⋊C4C2×D4semidirect
435. C42×C11C22×C4semidirect
436. C42×C11C2×D4semidirect
438. C2×#518C2×C11semidirect
439. C22×C4×D4C2×C11semidirect
440. #2366C2×C11semidirect
441. #2364C2×C11semidirect
442. #2363C2×C11semidirect
443. #2361C2×C11semidirect
444. #2358C2×C11semidirect
445. #2358C2×C11semidirect
446. #2352C2×C11semidirect
447. #2349C2×C11semidirect
448. D4×C22⋊C4C2×C11semidirect
449. D4×C22⋊C4C2×C11semidirect
450. D4×C22⋊C4C2×C11semidirect
451. #2328C2×C11semidirect
452. #2325C2×C11semidirect
453. #2324C2×C11semidirect
454. #2321C2×C11semidirect
455. C4×#121C2×C11semidirect
456. C4×#120C2×C11semidirect
457. #2290C2×C11semidirect
458. C2×#386C2×C11semidirect
459. #2275C2×C11semidirect
519. D4×C11C4×D4semidirect
591. C24×C4C22×C11semidirect
592. D42C4×C11semidirect
607. C2×C4×D4C22×C11semidirect
608. C2×C4×D4C22×C11semidirect
609. C2×C4×D4C22×C11semidirect
610. C2×C4×D4C22×C11semidirect
611. C2×C4×D4C22×C11semidirect
612. C2×C4×D4C22×C11semidirect
613. C2×C4×D4C22×C11semidirect
614. C2×C4×D4C22×C11semidirect
615. C2×C4×D4C22×C11semidirect
616. C2×C4×D4C22×C11semidirect
617. C2×C4×D4C22×C11semidirect
618. C2×#117C22×C11semidirect
619. C2×#117C22×C11semidirect
620. C22×C4⋊C4C22×C11semidirect
621. C22×C22⋊C4C22×C11semidirect
622. C22×C22⋊C4C22×C11semidirect
623. C22×C22⋊C4C22×C11semidirect
624. C22×C22⋊C4C22×C11semidirect
625. C22×C22⋊C4C22×C11semidirect
626. C22×C42C22×C11semidirect
627. #390C22×C11semidirect
628. #390C22×C11semidirect
629. #390C22×C11semidirect
630. #390C22×C11semidirect
631. #390C22×C11semidirect
632. #390C22×C11semidirect
633. #390C22×C11semidirect
634. #389C22×C11semidirect
635. #389C22×C11semidirect
636. #388C22×C11semidirect
637. #388C22×C11semidirect
638. #388C22×C11semidirect
639. #388C22×C11semidirect
640. #388C22×C11semidirect
641. #388C22×C11semidirect
642. #388C22×C11semidirect
643. #387C22×C11semidirect
644. #387C22×C11semidirect
645. #387C22×C11semidirect
649. #386C22×C11semidirect
650. #386C22×C11semidirect
651. #386C22×C11semidirect
652. #386C22×C11semidirect
653. #386C22×C11semidirect
654. #386C22×C11semidirect
655. #386C22×C11semidirect
656. #386C22×C11semidirect
657. #386C22×C11semidirect
658. #386C22×C11semidirect
659. #386C22×C11semidirect
660. #386C22×C11semidirect
661. #386C22×C11semidirect
662. #386C22×C11semidirect
663. #385C22×C11semidirect
664. #385C22×C11semidirect
665. #385C22×C11semidirect
666. #385C22×C11semidirect
667. #385C22×C11semidirect
668. #385C22×C11semidirect
669. #382C22×C11semidirect
670. #380C22×C11semidirect
671. #380C22×C11semidirect
672. #380C22×C11semidirect
673. #379C22×C11semidirect
674. #379C22×C11semidirect
675. C4×C4⋊C4C22×C11semidirect
676. C4×C4⋊C4C22×C11semidirect
677. C4×C4⋊C4C22×C11semidirect
678. C4×C4⋊C4C22×C11semidirect
679. C4×C22⋊C4C22×C11semidirect
680. C4×C22⋊C4C22×C11semidirect
681. C4×C22⋊C4C22×C11semidirect
682. C4×C22⋊C4C22×C11semidirect
683. C4×C22⋊C4C22×C11semidirect
684. C4×C22⋊C4C22×C11semidirect
685. C4×C22⋊C4C22×C11semidirect
686. C4×C22⋊C4C22×C11semidirect
687. #376C22×C11semidirect
688. C2×#95C22×C11semidirect
689. C2×#95C22×C11semidirect
726. C22×C11#518semidirect
760. C22×D4C2×C4×C11semidirect
761. C22×D4C2×C4×C11semidirect
762. C22×D4C2×C4×C11semidirect
790. #127C2×C4×C11semidirect
791. #121C2×C4×C11semidirect
792. #121C2×C4×C11semidirect
793. #121C2×C4×C11semidirect
794. #120C2×C4×C11semidirect
795. #120C2×C4×C11semidirect
810. C4×D4C2×C4×C11semidirect
811. C4×D4C2×C4×C11semidirect
812. C4×D4D4×C11semidirect
920. C24C22×C4×C11semidirect
952. C2×D4C22×C4×C11semidirect
953. C2×D4C22×C4×C11semidirect
954. C2×D4C22×C4×C11semidirect
955. C2×D4C22×C4×C11semidirect
956. C2×D4C22×C4×C11semidirect
999. C22×C4C22×C4×C11semidirect
1000. C22×C4C22×C4×C11semidirect
1001. C22×C4C2×D4×C11semidirect
1030. C4⋊C4C22×C4×C11semidirect
1031. C4⋊C4C22×C4×C11semidirect
1032. C4⋊C4C2×D4×C11semidirect
1058. C22⋊C4C22×C4×C11semidirect
1059. C22⋊C4C22×C4×C11semidirect
1060. C22⋊C4C22×C4×C11semidirect
1061. C22⋊C4C22×C4×C11semidirect
1062. C22⋊C4C2×D4×C11semidirect
1072. C42C22×C4×C11semidirect
1073. C42C2×D4×C11semidirect
1074. C11#34290direct (N × H)
1134. D4C4×D4×C11semidirect
1239. C22C11×#518semidirect

Maximal subgroups

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

subgroupindex
C2×D42×C112
C2×C11×#5182
C22×C4×D4×C112
C11×#23662
C11×#23642
C11×#23632
C11×#23612
C11×#23582
C11×#23522
C11×#23492
D4×C11×C22⋊C42
C11×#23282
C11×#23252
C11×#23242
C11×#23212
C4×C11×#1212
C4×C11×#1202
C11×#22902
C2×C11×#3862
C11×#22752
#3429011