Finite Group Databasebeta

← #14914946

Subgroups — #14914946

Order 2816.

3154 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623128C211yesmaximal, characteristic
2C2×#10623077C211yesmaximal, characteristic, complemented
3C2×C4×#4341C211yesmaximal, characteristic, complemented
4#13071668C211yesmaximal, characteristic, complemented
5#13071666C211yesmaximal, characteristic, complemented
6#13071664C211yesmaximal, characteristic, complemented
7#13071661C211yesmaximal, characteristic, complemented
8#13071651C211yesmaximal, characteristic, complemented
9#13071649C211yesmaximal, characteristic, complemented
10#13071646C211yesmaximal, characteristic, complemented
11#13071644C211yesmaximal, characteristic, complemented
12#13071635C211yesmaximal, characteristic, complemented
13#13071633C211yesmaximal, characteristic, complemented
14#13071633C211yesmaximal, characteristic, complemented
15#13071632C211yesmaximal, characteristic, complemented
16#13071627C211yesmaximal, characteristic, complemented
17#13071618C211yesmaximal, characteristic, complemented
18#13071616C211yesmaximal, characteristic, complemented
19#13071308C211yesmaximal, characteristic, complemented
20#13071302C211yesmaximal, characteristic, complemented
21#13071295C211yesmaximal, characteristic, complemented
22#13071293C211yesmaximal, characteristic, complemented
23#13071203C211yesmaximal, characteristic, complemented
24C4×#66949C211yesmaximal, characteristic, complemented
25#13071148C211yesmaximal, characteristic, complemented
26#13071128C211yesmaximal, characteristic, complemented
27C4×#66992C211yesmaximal, characteristic, complemented
28#13071101C211yesmaximal, characteristic, complemented
29C2×#10622585C211yesmaximal, characteristic, complemented
30#13070971C211yesmaximal, characteristic, complemented
31C11×#2361C211yesmaximal, characteristic, complemented
32C22×#4341C2211yescharacteristic
33C22×#4341C2211yescharacteristic
34C2×C11×#121C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C2×C4×D4×C11C2211yescharacteristic
37C2×C4×D4×C11C2211yescharacteristic
38C22×C11×C4⋊C4C2211yescharacteristic
39C2×#66992C2211yescharacteristic
40C2×#66992C2211yescharacteristic
41C2×#66992C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×D4×Dic11C2211yescharacteristic
44C2×D4×Dic11C2211yescharacteristic
45C2×#66983C2211yescharacteristic
46C2×C4×C22⋊D11C2211yescharacteristic
47C2×C4×C22⋊D11C2211yescharacteristic
48C2×C4×C22⋊D11C2211yescharacteristic
49C2×C4×C22⋊D11C2211yescharacteristic
50C2×C4×C22⋊D11C2211yescharacteristic
51C22×Dic11⋊C4C2211yescharacteristic
52C22×Dic11⋊C4C2211yescharacteristic
53C22×Dic11⋊C4C2211yescharacteristic
54C22×Dic11⋊C4C2211yescharacteristic
55C22×C4×Dic11C2211yescharacteristic
56C22×C4×Dic11C2211yescharacteristic
57#10623128C4116yescomplemented
58#10623077—28no—
59C4×#4341—28no—
60C2×#66949C2211yescharacteristic
61C2×#66949C2211yescharacteristic
62C2×#66946C2211yescharacteristic
63C2×#66945C2211yescharacteristic
64C2×C4⋊C4×D11C2211yescharacteristic
65C2×#66940C2211yescharacteristic
66C2×#66940C2211yescharacteristic
67C2×#66937C2211yescharacteristic
68C2×#66937C2211yescharacteristic
69C2×(C22⋊D11)⋊C4C2211yescharacteristic
70C2×(C22⋊D11)⋊C4C2211yescharacteristic
71C2×(C22⋊D11)⋊C4C2211yescharacteristic
72C2×(C22⋊D11)⋊C4C2211yescharacteristic
73C2×(C22⋊D11)⋊C4C2211yescharacteristic
74C2×#66931C2211yescharacteristic
75C2×#66931C2211yescharacteristic
76C2×#66930C2211yescharacteristic
77C2×#66930C2211yescharacteristic
78C2×#66930C2211yescharacteristic
79C2×#66930C2211yescharacteristic
80C2×#66925C2211yescharacteristic
81C2×C42×D11C2211yescharacteristic
82C2×C4×Dic22C2211yescharacteristic
83C2×C4×Dic22C2211yescharacteristic
84C11×#390C2211yescharacteristic
85C11×#389C2211yescharacteristic
86C11×#388C2211yescharacteristic
87C11×#388C2211yescharacteristic
88C11×#386C2211yescharacteristic
89C11×#386C2211yescharacteristic
90C11×#385C2211yescharacteristic
91C11×#385C2211yescharacteristic
92C4×C11×C4⋊C4C2211yescharacteristic
93C4×C11×C22⋊C4C2211yescharacteristic
94#10622833C2211yescharacteristic
95#10622833C2211yescharacteristic
96#10622833C2211yescharacteristic
97#10622833C2211yescharacteristic
98#10622826C2211yescharacteristic
99#10622826C2211yescharacteristic
100#10622826C2211yescharacteristic
101#10622823C2211yescharacteristic
102C4×C22⋊Dic11C2211yescharacteristic
103C4×C22⋊Dic11C2211yescharacteristic
104C2×C11⋊#95C2211yescharacteristic
105C2×C11⋊#95C2211yescharacteristic
106#10622603C2211yescharacteristic
107#10622603C2211yescharacteristic
108#10622603C2211yescharacteristic
109#10622602C2211yescharacteristic
110#10622602C2211yescharacteristic
111#10622602C2211yescharacteristic
112#10622601C2211yescharacteristic
113#10622594C2211yescharacteristic
114#10622594C2211yescharacteristic
115#10622591C2211yescharacteristic
116C4⋊C4×Dic11C2211yescharacteristic
117#10622586C2211yescharacteristic
118#10622585C2211yescharacteristic
119#10622585C2211yescharacteristic
120#10622585C2211yescharacteristic
121#10622585C2211yescharacteristic
122#10622585C2211yescharacteristic
123#10622585C2211yescharacteristic
124#10622585C2211yescharacteristic
125#10622585C2211yescharacteristic
126#10622585C2211yescharacteristic
127#10622571C2211yescharacteristic
128#10622571C2211yescharacteristic
129#10622571C2211yescharacteristic
130#10622570C2211yescharacteristic
131#10622570C2211yescharacteristic
132#10622570C2211yescharacteristic
133#10622570C2211yescharacteristic
134#10622570C2211yescharacteristic
135#10622570C2211yescharacteristic
136#10622569C2211yescharacteristic
137#10622569C2211yescharacteristic
138#10622564C2211yescharacteristic
139#10622564C2211yescharacteristic
140#10622559C2211yescharacteristic
141#10622558C2211yescharacteristic
142#10622558C2211yescharacteristic
143#10622557C2211yescharacteristic
144#10622557C2211yescharacteristic
145#10622555C2211yescharacteristic
146#10622555C2211yescharacteristic
147C22⋊C4×Dic11C2211yescharacteristic
148C22⋊C4×Dic11C2211yescharacteristic
149C22⋊C4×Dic11C2211yescharacteristic
150C22⋊C4×Dic11C2211yescharacteristic
151C22⋊C4×Dic11C2211yescharacteristic
152C22⋊C4×Dic11C2211yescharacteristic
153C22⋊C4×Dic11C2211yescharacteristic
154#10622553C2211yescharacteristic
155#10622553C2211yescharacteristic
156#10622553C2211yescharacteristic
157C4×(C2×D11)⋊C4C2211yescharacteristic
158C4×(C2×D11)⋊C4C2211yescharacteristic
159C4×(C2×D11)⋊C4C2211yescharacteristic
160#10622546C2211yescharacteristic
161C4×Dic11⋊C4C2211yescharacteristic
162C4×Dic11⋊C4C2211yescharacteristic
163C4×Dic11⋊C4C2211yescharacteristic
164C4×Dic11⋊C4C2211yescharacteristic
165C4×Dic11⋊C4C2211yescharacteristic
166#10622283C2211yescharacteristic
167#10622282C2211yescharacteristic
168#10622281C2211yescharacteristic
169#10622280C2211yescharacteristic
170#10622280C2211yescharacteristic
171#10622279C2211yescharacteristic
172#10622279C2211yescharacteristic
173#10622279C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622278C2211yescharacteristic
176#10622268C2211yescharacteristic
177#10622266C2211yescharacteristic
178#10622266C2211yescharacteristic
179#10622265C2211yescharacteristic
180#10622262C2211yescharacteristic
181#10622262C2211yescharacteristic
182#10622262C2211yescharacteristic
183#10622262C2211yescharacteristic
184#10622262C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188#10622259C2211yescharacteristic
189#10622259C2211yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C2×#4341—24no—
213C2×#4341—24no—
214C2×#4341—24no—
215C2×#4341—24no—
216C2×#4341C2×C418yescomplemented
217C2×#4341C2×C418yescomplemented
218C22×D44C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×Dic22C2311yescharacteristic
226C22×Dic22C2311yescharacteristic
227C11×#121C2×C418yescomplemented
228C4×D4×C11—24no—
229C4×D4×C11—24no—
230C4×D4×C11—42no—
231C2×C11×C4⋊C4—42no—
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C42×C11C2311yescharacteristic
250C2×C42×C11C2311yescharacteristic
251C2×C42×C11C2311yescharacteristic
252C2×C42×C11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263#66992C2×C418yescomplemented
264#66992C2×C418yescomplemented
265#66992C2×C418yescomplemented
266#66992C2×C418yescomplemented
267D4×Dic11—24no—
268D4×Dic11—24no—
269#66983C2×C418yescomplemented
270C4×C22⋊D11—24no—
271C4×C22⋊D11—24no—
272C4×C22⋊D11—24no—
273C4×C22⋊D11—24no—
274C4×C22⋊D11—42no—
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×Dic11⋊C4—24no—
295C2×Dic11⋊C4—24no—
296C2×Dic11⋊C4—42no—
297C2×Dic11⋊C4C2×C418yescomplemented
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×C4×Dic11—24no—
321C2×C4×Dic11—24no—
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334C2×C4×Dic11C2311yescharacteristic
335C2×C4×Dic11C2311yescharacteristic
336C2×C4×Dic11C2311yescharacteristic
337C2×C4×Dic11C2311yescharacteristic
338C2×C4×Dic11C2311yescharacteristic
339C2×C4×Dic11C2311yescharacteristic
340C2×C4×Dic11C2311yescharacteristic
341C2×C4×Dic11C2311yescharacteristic
342#66949C2×C418yescomplemented
343#66949C2×C418yescomplemented
344#66946—42no—
345#66945—24no—
346C4⋊C4×D11—24no—
347#66940—24no—
348#66940—24no—
349#66937C2×C418yescomplemented
350#66937C2×C418yescomplemented
351(C22⋊D11)⋊C4—24no—
352(C22⋊D11)⋊C4—24no—
353(C22⋊D11)⋊C4—24no—
354(C22⋊D11)⋊C4—24no—
355(C22⋊D11)⋊C4—42no—
356#66931C2×C418yescomplemented
357#66931C2×C418yescomplemented
358#66930—24no—
359#66930—24no—
360#66930—24no—
361#66930D418yescomplemented
362#66925—24no—
363C42×D11—24no—
364C4×Dic22—24no—
365C4×Dic22—24no—
366C11×#95C2311yescharacteristic
367C11×#95C2311yescharacteristic
368C11×#95C2311yescharacteristic
369C11×#95C2311yescharacteristic
370C11×#95C2311yescharacteristic
371C11×#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391C11⋊#95C2311yescharacteristic
392C11⋊#95C2311yescharacteristic
393C11⋊#95C2311yescharacteristic
394C11⋊#95C2311yescharacteristic
395C11⋊#95C2311yescharacteristic
396C11⋊#95C2311yescharacteristic
397C11⋊#95C2311yescharacteristic
398#34267—111nomaximal, Sylow
399C24×C11C2411yescharacteristic
400C24×C11C2411yescharacteristic
401C24×C11C2411yescharacteristic
402C23×D11C2411yescharacteristic
403C23×D11C2411yescharacteristic
404C2×D4×C11—22no—
405C2×D4×C11—22no—
406C2×D4×C11—22no—
407C2×D4×C11—22no—
408C2×D4×C11—41no—
409C2×D4×C11—41no—
410C2×D4×C11C22×C414yes—
411C2×D4×C11C22×C414yes—
412C2×D4×C11C22×C414yes—
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—41no—
420C22×C4×C11—41no—
421C22×C4×C11—41no—
422C22×C4×C11—41no—
423C22×C4×C11—41no—
424C22×C4×C11—41no—
425C22×C4×C11—41no—
426C22×C4×C11—41no—
427C22×C4×C11C22×C414yes—
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C2×C22⋊D11—22no—
441C2×C22⋊D11—22no—
442C2×C22⋊D11—22no—
443C2×C22⋊D11—22no—
444C2×C22⋊D11—22no—
445C2×C22⋊D11—22no—
446C2×C22⋊D11—22no—
447C2×C22⋊D11—22no—
448C2×C22⋊D11—41no—
449C2×C22⋊D11—41no—
450C2×C22⋊D11—41no—
451C2×C22⋊D11—41no—
452C2×C22⋊D11C22×C414yes—
453C2×C22⋊D11C22×C414yes—
454C2×C22⋊D11C22×C414yes—
455C2×C22⋊D11C22×C414yes—
456C2×C22⋊D11C22×C414yes—
457C2×C22⋊D11C22×C414yes—
458C22×Dic11—22no—
459C22×Dic11—22no—
460C22×Dic11—22no—
461C22×Dic11—22no—
462C22×Dic11—22no—
463C22×Dic11—22no—
464C22×Dic11—22no—
465C22×Dic11—22no—
466C22×Dic11—22no—
467C22×Dic11—22no—
468C22×Dic11—41no—
469C22×Dic11—41no—
470C22×Dic11—41no—
471C22×Dic11—41no—
472C22×Dic11—41no—
473C22×Dic11—41no—
474C22×Dic11—41no—
475C22×Dic11—41no—
476C22×Dic11C22×C414yes—
477C22×Dic11C22×C414yes—
478C22×Dic11C22×C414yes—
479C22×Dic11C22×C414yes—
480C22×Dic11C2×D414yes—
481C22×Dic11#4114yes—
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488C22×Dic11C2411yescharacteristic
489C22×Dic11C2411yescharacteristic
490C22×Dic11C2411yescharacteristic
491C22×Dic11C2411yescharacteristic
492C22×Dic11C2411yescharacteristic
493C22×Dic11C2411yescharacteristic
494C22×Dic11C2411yescharacteristic
495C22×Dic11C2411yescharacteristic
496#4341—232no—
497#4341—232no—
498C2×D44—41no—
499C2×D44—41no—
500C2×D44C22×C414yes—
501C2×C4×D11—22no—
502C2×C4×D11—22no—
503C2×C4×D11—22no—
504C2×C4×D11—22no—
505C2×C4×D11—22no—
506C2×C4×D11—22no—
507C2×C4×D11—22no—
508C2×C4×D11—22no—
509C2×C4×D11—22no—
510C2×C4×D11—22no—
511C2×C4×D11—41no—
512C2×C4×D11—41no—
513C2×C4×D11—41no—
514C2×C4×D11—41no—
515C2×C4×D11—41no—
516C2×C4×D11—41no—
517C2×C4×D11C22×C414yes—
518C2×C4×D11C22×C414yes—
519C2×Dic22—22no—
520C2×Dic22—22no—
521C2×Dic22—22no—
522C2×Dic22—22no—
523C2×Dic22C22×C414yes—
524C2×Dic22C22×C414yes—
525C11×C4⋊C4—22no—
526C11×C4⋊C4—22no—
527C11×C4⋊C4—22no—
528C11×C4⋊C4—22no—
529C11×C4⋊C4—41no—
530C11×C4⋊C4—41no—
531C11×C4⋊C4C22×C414yes—
532C11×C22⋊C4—22no—
533C11×C22⋊C4—22no—
534C11×C22⋊C4—22no—
535C11×C22⋊C4—22no—
536C11×C22⋊C4—41no—
537C11×C22⋊C4—41no—
538C11×C22⋊C4—41no—
539C11×C22⋊C4C22×C414yes—
540C11×C22⋊C4C22×C414yes—
541C11×C22⋊C4C2×D414yes—
542C42×C11—22no—
543C42×C11—22no—
544C42×C11—41no—
545C42×C11—41no—
546C22⋊Dic11—22no—
547C22⋊Dic11—22no—
548C22⋊Dic11—22no—
549C22⋊Dic11—22no—
550C22⋊Dic11—41no—
551C22⋊Dic11—41no—
552C22⋊Dic11—41no—
553C22⋊Dic11C22×C414yes—
554C22⋊Dic11C22×C414yes—
555C22⋊Dic11C2×D414yes—
556(C2×D11)⋊C4—22no—
557(C2×D11)⋊C4—22no—
558(C2×D11)⋊C4—22no—
559(C2×D11)⋊C4—22no—
560(C2×D11)⋊C4—22no—
561(C2×D11)⋊C4—22no—
562(C2×D11)⋊C4—41no—
563(C2×D11)⋊C4—41no—
564(C2×D11)⋊C4—41no—
565(C2×D11)⋊C4—41no—
566(C2×D11)⋊C4—41no—
567(C2×D11)⋊C4—41no—
568(C2×D11)⋊C4C22×C414yes—
569(C2×D11)⋊C4C22×C414yes—
570(C2×D11)⋊C4C22×C414yes—
571(C2×D11)⋊C4C22×C414yes—
572C4⋊Dic11—22no—
573C4⋊Dic11—22no—
574C4⋊Dic11C22×C414yes—
575Dic11⋊C4—22no—
576Dic11⋊C4—22no—
577Dic11⋊C4—22no—
578Dic11⋊C4—22no—
579Dic11⋊C4—22no—
580Dic11⋊C4—22no—
581Dic11⋊C4—22no—
582Dic11⋊C4—22no—
583Dic11⋊C4—22no—
584Dic11⋊C4—22no—
585Dic11⋊C4—22no—
586Dic11⋊C4—22no—
587Dic11⋊C4—41no—
588Dic11⋊C4—41no—
589Dic11⋊C4C22×C414yes—
590Dic11⋊C4C22×C414yes—
591Dic11⋊C4C22×C414yes—
592Dic11⋊C4C22×C414yes—
593Dic11⋊C4C22×C414yes—
594Dic11⋊C4C22×C414yes—
595Dic11⋊C4C2×D414yes—
596Dic11⋊C4C2×D414yes—
597C4×Dic11—22no—
598C4×Dic11—22no—
599C4×Dic11—22no—
600C4×Dic11—22no—
601C4×Dic11—22no—
602C4×Dic11—22no—
603C4×Dic11—22no—
604C4×Dic11—22no—
605C4×Dic11—22no—
606C4×Dic11—22no—
607C4×Dic11—22no—
608C4×Dic11—22no—
609C4×Dic11—41no—
610C4×Dic11—41no—
611C4×Dic11—41no—
612C4×Dic11—41no—
613C4×Dic11—41no—
614C4×Dic11—41no—
615C4×Dic11C2×D414yes—
616C4×Dic11C2×D414yes—
617C2×#537—111no—
618C2×#520—111no—
619C2×C4×#41—111no—
620#2364—111no—
621#2364—111no—
622#2364—111no—
623#2364—111no—
624#2363—111no—
625#2363—111no—
626#2362—111no—
627#2362—111no—
628#2361—111no—
629#2361—111no—
630#2361—111no—
631#2361—111no—
632#2361—111no—
633#2361D1111yescharacteristic, complemented
634#2360—111no—
635#2360—111no—
636#2324—111no—
637#2324—111no—
638#2323—111no—
639#2323—111no—
640#2311—111no—
641C4×C22⋊Q8—111no—
642C4×C22⋊Q8—111no—
643C4×#121—111no—
644C4×#121—111no—
645#2297—111no—
646C2×#389—111no—
647#2274—111no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11C23×C412yes—
665C23×C11C23×C412yes—
666C23×C11C23×C412yes—
667C23×C11C22×D412yes—
668C23×C11C2×#4112yes—
669C23×C11C2511yescharacteristic
670C22×D11—21no—
671C22×D11—21no—
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—21no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11C23×C412yes—
683C22×D11C23×C412yes—
684D4×C11—28no—
685D4×C11—28no—
686D4×C11—44no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—44no—
717C2×C4×C11—44no—
718C2×C4×C11—44no—
719C2×C4×C11—82no—
720C2×C4×C11—82no—
721C2×C4×C11C23×C412yes—
722C2×C4×C11C23×C412yes—
723C2×C4×C11C23×C412yes—
724C2×C4×C11C23×C412yes—
725C2×C4×C11C22×D412yes—
726C2×C4×C11C22×D412yes—
727C2×C4×C11H(5,𝔽2)12yes—
728C22⋊D11—28no—
729C22⋊D11—28no—
730C22⋊D11—28no—
731C22⋊D11—28no—
732C22⋊D11—44no—
733C22⋊D11—44no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—28no—
749C2×Dic11—28no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—44no—
766C2×Dic11—44no—
767C2×Dic11—44no—
768C2×Dic11—82no—
769C2×Dic11—82no—
770C2×Dic11C4×D4116yescomplemented
771C2×Dic11C23×C412yes—
772C2×Dic11C23×C412yes—
773C2×Dic11C23×C412yes—
774C2×Dic11C23×C412yes—
775C2×Dic11C23×C412yes—
776C2×Dic11C23×C412yes—
777C2×Dic11C22×D412yes—
778C2×Dic11C22×D412yes—
779C2×Dic11C22×D412yes—
780C2×Dic11C22×D412yes—
781C2×Dic11C2×#4112yes—
782C2×Dic11C2×#4112yes—
783C2×Dic112−1+412yes—
784D44—44no—
785C4×D11—28no—
786C4×D11—28no—
787C4×D11—44no—
788C4×D11—44no—
789C4×D11—82no—
790C4×D11—82no—
791Dic22—28no—
792Dic22—28no—
793C22×#41—111no—
794C22×#41—111no—
795#537—1116no—
796C2×C22⋊Q8—111no—
797C2×C22⋊Q8—111no—
798C2×C22⋊Q8—111no—
799C2×C22⋊Q8—111no—
800C2×#121—111no—
801C2×#121—111no—
802C2×#121—111no—
803C2×#121—111no—
804C2×#121—111no—
805C2×#121—111no—
806C2×#121—111no—
807C2×#121C2×D1111yescharacteristic
808#520—228no—
809C4×#41—228no—
810C2×C4×Q8—111no—
811C2×C4×Q8—111no—
812C2×C4×Q8—111no—
813C2×C4×Q8—111no—
814C2×C4×D4—111no—
815C2×C4×D4—111no—
816C2×C4×D4—111no—
817C2×C4×D4—111no—
818C2×C4×D4—111no—
819C2×C4×D4—111no—
820C2×C4×D4—111no—
821C2×C4×D4—111no—
822C2×C4×D4—111no—
823C2×C4×D4—111no—
824C2×C4×D4—111no—
825C2×C4×D4—111no—
826C2×C4×D4—111no—
827C2×C4×D4C2×D1111yescharacteristic
828C2×C4×D4C2×D1111yescharacteristic
829C2×C4×D4C2×D1111yescharacteristic
830C2×#117—111no—
831C2×#117—111no—
832C2×#117—111no—
833C2×#117—111no—
834C2×#117—111no—
835C2×#117—111no—
836C22×C4⋊C4—111no—
837C22×C4⋊C4—111no—
838C22×C4⋊C4—111no—
839C22×C4⋊C4—111no—
840C22×C4⋊C4—111no—
841C22×C4⋊C4C2×D1111yescharacteristic
842C22×C42—111no—
843C22×C42—111no—
844C22×C42—111no—
845#391—111no—
846#391—111no—
847#391—111no—
848#391—111no—
849#390—111no—
850#390—111no—
851#390—111no—
852#390—111no—
853#390—111no—
854#390—111no—
855#390—111no—
856#390C2×D1111yescharacteristic
857#389—111no—
858#389—111no—
859#389—111no—
860#389—111no—
861#389—111no—
862#389—111no—
863#389—111no—
864#389—111no—
865#389—111no—
866#389—111no—
867#389—111no—
868#389C2×D1111yescharacteristic
869#388—111no—
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#388—111no—
877#388—111no—
878#388—111no—
879#388—111no—
880#388—111no—
881#388—111no—
882#388—111no—
883#388C2×D1111yescharacteristic
884#388C2×D1111yescharacteristic
885#387—111no—
886#387—111no—
887#387—111no—
888#387—111no—
889#387—111no—
890#387—111no—
891#387—111no—
892#387—111no—
893#386—111no—
894#386—111no—
895#386—111no—
896#386—111no—
897#386—111no—
898#386—111no—
899#386—111no—
900#386—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386C2×D1111yescharacteristic
908#386C2×D1111yescharacteristic
909#385—111no—
910#385—111no—
911#385—111no—
912#385—111no—
913#385—111no—
914#385—111no—
915#385C2×D1111yescharacteristic
916#385C2×D1111yescharacteristic
917#380—111no—
918#380—111no—
919#380—111no—
920#380—111no—
921C4×C4⋊C4—111no—
922C4×C4⋊C4—111no—
923C4×C4⋊C4—111no—
924C4×C4⋊C4—111no—
925C4×C4⋊C4—111no—
926C4×C4⋊C4—111no—
927C4×C4⋊C4—111no—
928C4×C4⋊C4—111no—
929C4×C4⋊C4—111no—
930C4×C4⋊C4—111no—
931C4×C4⋊C4—111no—
932C4×C4⋊C4C2×D1111yescharacteristic
933C4×C22⋊C4—111no—
934C4×C22⋊C4—111no—
935C4×C22⋊C4—111no—
936C4×C22⋊C4—111no—
937C4×C22⋊C4—111no—
938C4×C22⋊C4—111no—
939C4×C22⋊C4—111no—
940C4×C22⋊C4—111no—
941C4×C22⋊C4—111no—
942C4×C22⋊C4—111no—
943C4×C22⋊C4—111no—
944C4×C22⋊C4—111no—
945C4×C22⋊C4—111no—
946C4×C22⋊C4—111no—
947C4×C22⋊C4—111no—
948C4×C22⋊C4C2×D1111yescharacteristic
949C2×#95—111no—
950C2×#95—111no—
951C22×C11—22no—
952C22×C11—22no—
953C22×C11—22no—
954C22×C11—22no—
955C22×C11—22no—
956C22×C11—22no—
957C22×C11—22no—
958C22×C11—22no—
959C22×C11—22no—
960C22×C11—22no—
961C22×C11—22no—
962C22×C11—22no—
963C22×C11—41no—
964C22×C11—41no—
965C22×C11—41no—
966C22×C11—41no—
967C22×C11—41no—
968C22×C11—41no—
969C22×C11—41no—
970C22×C11—41no—
971C22×C11C2×C4×D414yes—
972C22×C11C24×C411yescharacteristic
973C22×C11C23×D411yescharacteristic
974C22×C11C22×#4111yescharacteristic
975C22×C11C2×H(5,𝔽2)11yescharacteristic
976C22×C11C2×2−1+411yescharacteristic
977C22×C11#58511yescharacteristic
978C22×C11#58511yescharacteristic
979C2×D11—22no—
980C2×D11—22no—
981C2×D11—22no—
982C2×D11—22no—
983C2×D11—22no—
984C2×D11—22no—
985C2×D11—41no—
986C2×D11—41no—
987C2×D11—41no—
988C2×D11—41no—
989C2×D11—41no—
990C2×D11—41no—
991C2×D11—41no—
992C2×D11—41no—
993C4×C11—22no—
994C4×C11—22no—
995C4×C11—22no—
996C4×C11—22no—
997C4×C11—22no—
998C4×C11—22no—
999C4×C11—22no—
1000C4×C11—41no—
1001C4×C11—41no—
1002C4×C11—41no—
1003C4×C11—41no—
1004C4×C11—41no—
1005Dic11—22no—
1006Dic11—22no—
1007Dic11—22no—
1008Dic11—22no—
1009Dic11—22no—
1010Dic11—22no—
1011Dic11—22no—
1012Dic11—41no—
1013Dic11—41no—
1014Dic11—41no—
1015Dic11—41no—
1016Dic11—41no—
1017Dic11C2×C4×D414yes—
1018Dic11C2×C4×D414yes—
1019C2×#41—118no—
1020C2×#41—118no—
1021C2×#41—224no—
1022C2×#41—224no—
1023C2×#41—224no—
1024C2×#41—224no—
1025C22×Q8—111no—
1026C22×Q8—111no—
1027C22×D4—111no—
1028C22×D4—111no—
1029C22×D4—111no—
1030C22×D4—111no—
1031C22×D4—111no—
1032C22×D4—111no—
1033C22×D4—111no—
1034C22×D4C22×D1111yescharacteristic
1035C22×D4C22×D1111yescharacteristic
1036C22×D4C22×D1111yescharacteristic
1037C23×C4—111no—
1038C23×C4—111no—
1039C23×C4—111no—
1040C23×C4—111no—
1041C23×C4—111no—
1042C23×C4—111no—
1043C23×C4—111no—
1044C23×C4—111no—
1045C23×C4—111no—
1046C23×C4—111no—
1047C23×C4—111no—
1048C23×C4—111no—
1049C23×C4—111no—
1050C23×C4—111no—
1051C23×C4C22×D1111yescharacteristic
1052C23×C4C22×D1111yescharacteristic
1053C23×C4C22×D1111yescharacteristic
1054C23×C4C22×D1111yescharacteristic
1055C23×C4C22×D1111yescharacteristic
1056C22⋊Q8—118no—
1057C22⋊Q8—118no—
1058C22⋊Q8—118no—
1059C22⋊Q8—118no—
1060#121—118no—
1061#121—118no—
1062#121—118no—
1063#121—118no—
1064#121—118no—
1065#121—118no—
1066#121—118no—
1067#121C4×D1118yescomplemented
1068C4×Q8—224no—
1069C4×Q8—224no—
1070C4×Q8—224no—
1071C4×Q8—224no—
1072C4×D4—24no—
1073C4×D4—24no—
1074C4×D4—42no—
1075C4×D4—224no—
1076C4×D4—224no—
1077C4×D4—224no—
1078C4×D4—224no—
1079C4×D4—224no—
1080C4×D4—224no—
1081C4×D4—224no—
1082C4×D4—224no—
1083C4×D4—224no—
1084C4×D4—224no—
1085C4×D4—442no—
1086C4×D4—442no—
1087C4×D4—442no—
1088#117—118no—
1089#117—224no—
1090#117—224no—
1091#117—224no—
1092#117—224no—
1093#117—224no—
1094C2×C4⋊C4—42no—
1095C2×C4⋊C4—118no—
1096C2×C4⋊C4—111no—
1097C2×C4⋊C4—111no—
1098C2×C4⋊C4—111no—
1099C2×C4⋊C4—111no—
1100C2×C4⋊C4—111no—
1101C2×C4⋊C4—111no—
1102C2×C4⋊C4—111no—
1103C2×C4⋊C4—111no—
1104C2×C4⋊C4—111no—
1105C2×C4⋊C4—111no—
1106C2×C4⋊C4—111no—
1107C2×C4⋊C4—111no—
1108C2×C4⋊C4—111no—
1109C2×C4⋊C4—111no—
1110C2×C4⋊C4—111no—
1111C2×C4⋊C4—111no—
1112C2×C4⋊C4—111no—
1113C2×C4⋊C4—111no—
1114C2×C4⋊C4—111no—
1115C2×C4⋊C4—111no—
1116C2×C4⋊C4—111no—
1117C2×C4⋊C4—111no—
1118C2×C4⋊C4—111no—
1119C2×C4⋊C4—111no—
1120C2×C4⋊C4—111no—
1121C2×C4⋊C4—224no—
1122C2×C4⋊C4—224no—
1123C2×C4⋊C4—224no—
1124C2×C4⋊C4—442no—
1125C2×C4⋊C4C22×D1111yescharacteristic
1126C2×C4⋊C4C22×D1111yescharacteristic
1127C2×C4⋊C4C22×D1111yescharacteristic
1128C2×C4⋊C4C22×D1111yescharacteristic
1129C2×C4⋊C4C22×D1111yescharacteristic
1130C2×C4⋊C4C22×D1111yescharacteristic
1131C2×C4⋊C4C22×D1111yescharacteristic
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—111no—
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4C22×D1111yescharacteristic
1159C2×C22⋊C4C22×D1111yescharacteristic
1160C2×C22⋊C4C22×D1111yescharacteristic
1161C2×C22⋊C4C22×D1111yescharacteristic
1162C2×C22⋊C4C22×D1111yescharacteristic
1163C2×C22⋊C4C22×D1111yescharacteristic
1164C2×C22⋊C4C22×D1111yescharacteristic
1165C2×C22⋊C4C22×D1111yescharacteristic
1166C2×C22⋊C4C22×D1111yescharacteristic
1167C2×C22⋊C4C22×D1111yescharacteristic
1168C2×C42—111no—
1169C2×C42—111no—
1170C2×C42—111no—
1171C2×C42—111no—
1172C2×C42—111no—
1173C2×C42—111no—
1174C2×C42—111no—
1175C2×C42—111no—
1176C2×C42—111no—
1177C2×C42—111no—
1178C2×C42—111no—
1179C2×C42—111no—
1180C2×C42—111no—
1181C2×C42—111no—
1182C2×C42—111no—
1183C2×C42—111no—
1184C2×C42—111no—
1185C2×C42—111no—
1186C2×C42—111no—
1187C2×C42—111no—
1188C2×C42—224no—
1189C2×C42—224no—
1190C2×C42—224no—
1191C2×C42C22×D1111yescharacteristic
1192C2×C42C22×D1111yescharacteristic
1193C2×C42C22×D1111yescharacteristic
1194C2×C42C22×D1111yescharacteristic
1195#95—111no—
1196#95—111no—
1197#95—111no—
1198#95—111no—
1199#95—111no—
1200#95—111no—
1201#95—111no—
1202#95—111no—
1203#95—111no—
1204#95—111no—
1205#95—111no—
1206#95—111no—
1207#95—111no—
1208#95—111no—
1209#95—111no—
1210#95—111no—
1211#95—111no—
1212#95—111no—
1213#95—111no—
1214#95—111no—
1215#95—111no—
1216#95—111no—
1217#95—111no—
1218#95—111no—
1219#95—111no—
1220#95—111no—
1221#95C22×D1111yescharacteristic
1222#95C22×D1111yescharacteristic
1223#95C22×D1111yescharacteristic
1224#95C22×D1111yescharacteristic
1225#95C22×D1111yescharacteristic
1226#95C22×D1111yescharacteristic
1227C2×C11—24no—
1228C2×C11—42no—
1229C2×C11—42no—
1230C2×C11C22×C4×D411yescharacteristic
1231C2×C11C4×H(5,𝔽2)11yescharacteristic
1232C2×C11C4×2−1+411yescharacteristic
1233C2×C11#348811yescharacteristic
1234C2×C11#348911yescharacteristic
1235C2×C11#351111yescharacteristic
1236C2×C11#351211yescharacteristic
1237D11—42no—
1238D11—42no—
1239C24—111no—
1240C24—111no—
1241C24C23×D1111yescharacteristic
1242C24C23×D1111yescharacteristic
1243C24C23×D1111yescharacteristic
1244#41—2232no—
1245#41—2232no—
1246C2×Q8—114no—
1247C2×Q8—114no—
1248C2×Q8—222no—
1249C2×Q8—222no—
1250C2×Q8—222no—
1251C2×Q8—222no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—114no—
1259C2×D4—114no—
1260C2×D4—114no—
1261C2×D4—114no—
1262C2×D4—114no—
1263C2×D4—114no—
1264C2×D4—114no—
1265C2×D4—222no—
1266C2×D4—222no—
1267C2×D4—222no—
1268C2×D4—222no—
1269C2×D4—222no—
1270C2×D4—222no—
1271C2×D4—222no—
1272C2×D4—222no—
1273C2×D4—441no—
1274C2×D4—441no—
1275C2×D4—441no—
1276C2×D4—441no—
1277C2×D4—441no—
1278C2×D4—441no—
1279C2×D4C2×C4×D1114yes—
1280C2×D4C2×C4×D1114yes—
1281C2×D4C2×C4×D1114yes—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
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—114no—
1297C22×C4—114no—
1298C22×C4—114no—
1299C22×C4—111no—
1300C22×C4—111no—
1301C22×C4—114no—
1302C22×C4—114no—
1303C22×C4—111no—
1304C22×C4—111no—
1305C22×C4—111no—
1306C22×C4—111no—
1307C22×C4—111no—
1308C22×C4—111no—
1309C22×C4—111no—
1310C22×C4—114no—
1311C22×C4—114no—
1312C22×C4—114no—
1313C22×C4—111no—
1314C22×C4—111no—
1315C22×C4—111no—
1316C22×C4—111no—
1317C22×C4—111no—
1318C22×C4—222no—
1319C22×C4—222no—
1320C22×C4—222no—
1321C22×C4—222no—
1322C22×C4—222no—
1323C22×C4—222no—
1324C22×C4—222no—
1325C22×C4—222no—
1326C22×C4—222no—
1327C22×C4—222no—
1328C22×C4—222no—
1329C22×C4—222no—
1330C22×C4—222no—
1331C22×C4—222no—
1332C22×C4—222no—
1333C22×C4—222no—
1334C22×C4—222no—
1335C22×C4—222no—
1336C22×C4—222no—
1337C22×C4—222no—
1338C22×C4—441no—
1339C22×C4—441no—
1340C22×C4—441no—
1341C22×C4—441no—
1342C22×C4—441no—
1343C22×C4—441no—
1344C22×C4—441no—
1345C22×C4—441no—
1346C22×C4—441no—
1347C22×C4—441no—
1348C22×C4—441no—
1349C22×C4—441no—
1350C22×C4—441no—
1351C22×C4—441no—
1352C22×C4C2×C4×D1114yes—
1353C22×C4C23×D1111yescharacteristic
1354C22×C4C23×D1111yescharacteristic
1355C22×C4C23×D1111yescharacteristic
1356C22×C4C23×D1111yescharacteristic
1357C22×C4C23×D1111yescharacteristic
1358C22×C4C23×D1111yescharacteristic
1359C22×C4C23×D1111yescharacteristic
1360C22×C4C23×D1111yescharacteristic
1361C22×C4C23×D1111yescharacteristic
1362C22×C4C23×D1111yescharacteristic
1363C22×C4C23×D1111yescharacteristic
1364C22×C4C23×D1111yescharacteristic
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—41no—
1370C4⋊C4—41no—
1371C4⋊C4—114no—
1372C4⋊C4—114no—
1373C4⋊C4—114no—
1374C4⋊C4—114no—
1375C4⋊C4—114no—
1376C4⋊C4—114no—
1377C4⋊C4—114no—
1378C4⋊C4—114no—
1379C4⋊C4—114no—
1380C4⋊C4—222no—
1381C4⋊C4—222no—
1382C4⋊C4—222no—
1383C4⋊C4—222no—
1384C4⋊C4—222no—
1385C4⋊C4—222no—
1386C4⋊C4—222no—
1387C4⋊C4—222no—
1388C4⋊C4—222no—
1389C4⋊C4—222no—
1390C4⋊C4—222no—
1391C4⋊C4—222no—
1392C4⋊C4—222no—
1393C4⋊C4—222no—
1394C4⋊C4—441no—
1395C4⋊C4—441no—
1396C4⋊C4C2×C4×D1114yes—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—114no—
1405C22⋊C4—114no—
1406C22⋊C4—114no—
1407C22⋊C4—114no—
1408C22⋊C4—114no—
1409C22⋊C4—114no—
1410C22⋊C4—114no—
1411C22⋊C4—222no—
1412C22⋊C4—222no—
1413C22⋊C4—222no—
1414C22⋊C4—222no—
1415C22⋊C4—222no—
1416C22⋊C4—222no—
1417C22⋊C4—222no—
1418C22⋊C4—222no—
1419C22⋊C4—222no—
1420C22⋊C4—222no—
1421C22⋊C4—441no—
1422C22⋊C4—441no—
1423C22⋊C4—441no—
1424C22⋊C4—441no—
1425C22⋊C4—441no—
1426C22⋊C4—441no—
1427C22⋊C4—441no—
1428C22⋊C4—441no—
1429C22⋊C4—441no—
1430C22⋊C4C2×C4×D1114yes—
1431C22⋊C4C2×C4×D1114yes—
1432C22⋊C4D4×D1114yes—
1433C42—22no—
1434C42—22no—
1435C42—41no—
1436C42—41no—
1437C42—114no—
1438C42—114no—
1439C42—222no—
1440C42—222no—
1441C42—222no—
1442C42—222no—
1443C42—222no—
1444C42—222no—
1445C42—222no—
1446C42—222no—
1447C42—222no—
1448C42—222no—
1449C42—222no—
1450C42—222no—
1451C42—441no—
1452C42—441no—
1453C42—441no—
1454C42—441no—
1455C42—441no—
1456C42—441no—
1457C11#3426711yescharacteristic, complemented, Sylow
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—112no—
1475C23—112no—
1476C23—221no—
1477C23—221no—
1478C23—221no—
1479C23—221no—
1480C23—221no—
1481C23—221no—
1482C23—221no—
1483C23—221no—
1484C23—221no—
1485C23—221no—
1486C23—221no—
1487C23—221no—
1488C23C22×C4×D1112yes—
1489C23C22×C4×D1112yes—
1490C23C22×C4×D1112yes—
1491C23C2×D4×D1112yes—
1492C23#41×D1112yes—
1493C23C24×D1111yescharacteristic
1494Q8—228no—
1495Q8—228no—
1496D4—28no—
1497D4—28no—
1498D4—44no—
1499D4—228no—
1500D4—228no—
1501D4—228no—
1502D4—228no—
1503D4—444no—
1504D4—444no—
1505D4—444no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—82no—
1539C2×C4—82no—
1540C2×C4—1116no—
1541C2×C4—112no—
1542C2×C4—112no—
1543C2×C4—112no—
1544C2×C4—112no—
1545C2×C4—112no—
1546C2×C4—112no—
1547C2×C4—112no—
1548C2×C4—112no—
1549C2×C4—112no—
1550C2×C4—112no—
1551C2×C4—112no—
1552C2×C4—112no—
1553C2×C4—112no—
1554C2×C4—228no—
1555C2×C4—228no—
1556C2×C4—228no—
1557C2×C4—228no—
1558C2×C4—221no—
1559C2×C4—221no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—221no—
1565C2×C4—221no—
1566C2×C4—221no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—221no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—221no—
1573C2×C4—221no—
1574C2×C4—221no—
1575C2×C4—221no—
1576C2×C4—221no—
1577C2×C4—221no—
1578C2×C4—221no—
1579C2×C4—221no—
1580C2×C4—221no—
1581C2×C4—221no—
1582C2×C4—221no—
1583C2×C4—221no—
1584C2×C4—221no—
1585C2×C4—221no—
1586C2×C4—221no—
1587C2×C4—444no—
1588C2×C4—444no—
1589C2×C4—444no—
1590C2×C4—444no—
1591C2×C4—444no—
1592C2×C4—882no—
1593C2×C4—882no—
1594C2×C4—882no—
1595C2×C4—882no—
1596C2×C4C22×C4×D1112yes—
1597C2×C4C22×C4×D1112yes—
1598C2×C4C22×C4×D1112yes—
1599C2×C4C22×C4×D1112yes—
1600C2×C4C2×D4×D1112yes—
1601C2×C4C2×D4×D1112yes—
1602C2×C4#6703712yes—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—222no—
1624C22—222no—
1625C22—222no—
1626C22—222no—
1627C22—222no—
1628C22—222no—
1629C22—441no—
1630C22—441no—
1631C22—441no—
1632C22—441no—
1633C22—441no—
1634C22—441no—
1635C22—441no—
1636C22—441no—
1637C22C4×D4×D1114yes—
1638C22C23×C4×D1111yescharacteristic
1639C22C22×D4×D1111yescharacteristic
1640C22C2×#6703711yescharacteristic
1641C22C2×#41×D1111yescharacteristic
1642C22#1062345311yescharacteristic
1643C22#1062345511yescharacteristic
1644C22D11×2−1+411yescharacteristic
1645C4—22no—
1646C4—22no—
1647C4—22no—
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—22no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—114no—
1658C4—114no—
1659C4—222no—
1660C4—222no—
1661C4—222no—
1662C4—222no—
1663C4—222no—
1664C4—222no—
1665C4—222no—
1666C4—441no—
1667C4—441no—
1668C4—441no—
1669C4—441no—
1670C4—441no—
1671C2—24no—
1672C2—42no—
1673C2—42no—
1674C2—442no—
1675C2—442no—
1676C2C2×C4×D4×D1111yescharacteristic
1677C2C4×#6703711yescharacteristic
1678C2#1308182711yescharacteristic
1679C2#1308227611yescharacteristic
1680C2#1308229011yescharacteristic
1681C2#1308252211yescharacteristic
1682C2#1308253211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2361C2
socle, cosocleC23×C11C25
prime radicalC2×#10623128C2
hypercenter#2361D11
hypocenterC11#34267
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2361

Complements

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

NH ≅ G/Ntype
2. C2×#10623077C2semidirect
3. C2×C4×#4341C2semidirect
4. #13071668C2semidirect
5. #13071666C2semidirect
6. #13071664C2semidirect
7. #13071661C2semidirect
8. #13071651C2semidirect
9. #13071649C2semidirect
10. #13071646C2semidirect
11. #13071644C2semidirect
12. #13071635C2semidirect
13. #13071633C2semidirect
14. #13071633C2semidirect
15. #13071632C2semidirect
16. #13071627C2semidirect
17. #13071618C2semidirect
18. #13071616C2semidirect
19. #13071308C2semidirect
20. #13071302C2semidirect
21. #13071295C2semidirect
22. #13071293C2semidirect
23. #13071203C2semidirect
24. C4×#66949C2semidirect
25. #13071148C2semidirect
26. #13071128C2semidirect
27. C4×#66992C2semidirect
28. #13071101C2semidirect
29. C2×#10622585C2semidirect
30. #13070971C2semidirect
31. C11×#2361C2semidirect
57. #10623128C4semidirect
216. C2×#4341C2×C4semidirect
217. C2×#4341C2×C4semidirect
227. C11×#121C2×C4semidirect
263. #66992C2×C4semidirect
264. #66992C2×C4semidirect
265. #66992C2×C4semidirect
266. #66992C2×C4semidirect
269. #66983C2×C4semidirect
297. C2×Dic11⋊C4C2×C4semidirect
342. #66949C2×C4semidirect
343. #66949C2×C4semidirect
349. #66937C2×C4semidirect
350. #66937C2×C4semidirect
356. #66931C2×C4semidirect
357. #66931C2×C4semidirect
361. #66930D4semidirect
633. #2361D11semidirect
770. C2×Dic11C4×D4semidirect
1067. #121C4×D11semidirect
1457. C11#34267semidirect

Maximal subgroups

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

subgroupindex
C2×#106231282
C2×#106230772
C2×C4×#43412
#130716682
#130716662
#130716642
#130716612
#130716512
#130716492
#130716462
#130716442
#130716352
#130716332
#130716322
#130716272
#130716182
#130716162
#130713082
#130713022
#130712952
#130712932
#130712032
C4×#669492
#130711482
#130711282
C4×#669922
#130711012
C2×#106225852
#130709712
C11×#23612
#3426711