Finite Group Databasebeta

← #14922427

Subgroups — #14922427

Order 2816.

2938 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623117C211yesmaximal, characteristic, complemented
2C2×#41×Dic11C211yesmaximal, characteristic, complemented
3#13072814C211yesmaximal, characteristic, complemented
4#13072799C211yesmaximal, characteristic, complemented
5#13072724C211yesmaximal, characteristic, complemented
6#13072709C211yesmaximal, characteristic, complemented
7#13072630C211yesmaximal, characteristic, complemented
8#13072615C211yesmaximal, characteristic, complemented
9#13072531C211yesmaximal, characteristic, complemented
10#13072516C211yesmaximal, characteristic, complemented
11#13072446C211yesmaximal, characteristic, complemented
12#13072364C211yesmaximal, characteristic, complemented
13#13072294C211yesmaximal, characteristic, complemented
14#13072220C211yesmaximal, characteristic, complemented
15#13072156C211yesmaximal, characteristic, complemented
16#13072074C211yesmaximal, characteristic, complemented
17#13072001C211yesmaximal, characteristic, complemented
18#13071898C211yesmaximal, characteristic, complemented
19#13071883C211yesmaximal, characteristic, complemented
20#13071851C211yesmaximal, characteristic, complemented
21#13071828C211yesmaximal, characteristic, complemented
22#13071141C211yesmaximal, characteristic, complemented
23#13071133C211yesmaximal, characteristic, complemented
24#13071126C211yesmaximal, characteristic, complemented
25#13071126C211yesmaximal, characteristic, complemented
26#120×Dic11C211yesmaximal, characteristic, complemented
27#13071101C211yesmaximal, characteristic, complemented
28#13071056C211yesmaximal, characteristic, complemented
29#13071056C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic11C211yesmaximal, characteristic, complemented
31C11×#2404C211yesmaximal, characteristic, complemented
32C22×C11×#41C2211yescharacteristic
33C24×Dic11C2211yescharacteristic
34C22×#4341C2211yescharacteristic
35C2×C11×#120C2211yescharacteristic
36C2×C11×#120C2211yescharacteristic
37C22×C11×C22⋊C4C2211yescharacteristic
38C2×#67006C2211yescharacteristic
39C22×C22⋊Dic11C2211yescharacteristic
40#41×Dic11—28no—
41C2×Q8×Dic11C2211yescharacteristic, complemented
42C2×Q8×Dic11C2211yescharacteristic, complemented
43C2×#66992C2211yescharacteristic
44C2×#66992C2211yescharacteristic
45C2×#66992C2211yescharacteristic
46C2×#66992C2211yescharacteristic
47C2×#66988C2211yescharacteristic
48C2×#66988C2211yescharacteristic
49C2×D4×Dic11C2211yescharacteristic
50C2×D4×Dic11C2211yescharacteristic
51C2×D4×Dic11C2211yescharacteristic
52C2×D4×Dic11C2211yescharacteristic
53C2×D4×Dic11C2211yescharacteristic
54C2×D4×Dic11C2211yescharacteristic
55C2×D4×Dic11C2211yescharacteristic
56C2×D4×Dic11C2211yescharacteristic, complemented
57C2×D4×Dic11C2211yescharacteristic, complemented
58C2×#66982C2211yescharacteristic
59C2×#66979C2211yescharacteristic
60C2×#66979C2211yescharacteristic, complemented
61C2×#66979C2211yescharacteristic, complemented
62C22×C4×Dic11C2211yescharacteristic
63C22×C4×Dic11C2211yescharacteristic
64C22×C4×Dic11C2211yescharacteristic, complemented
65C22×C4×Dic11C2211yescharacteristic, complemented
66#10623117—28no—
67C2×#66939C2211yescharacteristic
68C2×(C22⋊D11)⋊C4C2211yescharacteristic
69C2×(C22⋊D11)⋊C4C2211yescharacteristic
70C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
71C2×#66931C2211yescharacteristic
72C2×#66931C2211yescharacteristic
73C2×#66930C2211yescharacteristic
74C2×#66930C2211yescharacteristic, complemented
75C11×#393C2211yescharacteristic
76C11×#393C2211yescharacteristic
77C11×#392C2211yescharacteristic
78C11×#392C2211yescharacteristic
79C11×#386C2211yescharacteristic
80C11×#386C2211yescharacteristic
81C11×#386C2211yescharacteristic
82C11×#386C2211yescharacteristic
83C11×#386C2211yescharacteristic
84C11×#386C2211yescharacteristic
85C11×#381C2211yescharacteristic
86#10622860C2211yescharacteristic
87#10622844C2211yescharacteristic, complemented
88#10622842C2211yescharacteristic, complemented
89#10622836C2211yescharacteristic
90#10622836C2211yescharacteristic, complemented
91#10622835C2211yescharacteristic
92#10622835C2211yescharacteristic
93#10622835C2211yescharacteristic
94#10622835C2211yescharacteristic, complemented
95#10622833C2211yescharacteristic
96#10622833C2211yescharacteristic
97#10622833C2211yescharacteristic
98#10622833C2211yescharacteristic
99#10622833C2211yescharacteristic
100#10622833C2211yescharacteristic
101#10622826C2211yescharacteristic
102#10622826C2211yescharacteristic, complemented
103#10622826C2211yescharacteristic, complemented
104#10622823C2211yescharacteristic
105#10622823C2211yescharacteristic, complemented
106#10622823C2211yescharacteristic, complemented
107C2×C11⋊#95C2211yescharacteristic
108C2×C11⋊#95C2211yescharacteristic
109#10622574C2211yescharacteristic
110#10622574C2211yescharacteristic
111#10622574C2211yescharacteristic
112#10622574C2211yescharacteristic, complemented
113#10622571C2211yescharacteristic
114#10622571C2211yescharacteristic, complemented
115#10622570C2211yescharacteristic
116#10622570C2211yescharacteristic
117#10622570C2211yescharacteristic
118#10622570C2211yescharacteristic, complemented
119#10622566C2211yescharacteristic
120#10622566C2211yescharacteristic, complemented
121#10622563C2211yescharacteristic
122#10622563C2211yescharacteristic
123#10622563C2211yescharacteristic
124#10622562C2211yescharacteristic
125#10622561C2211yescharacteristic
126#10622561C2211yescharacteristic
127#10622561C2211yescharacteristic
128#10622561C2211yescharacteristic, complemented
129#10622560C2211yescharacteristic, complemented
130#10622559C2211yescharacteristic
131#10622559C2211yescharacteristic
132#10622559C2211yescharacteristic, complemented
133#10622558C2211yescharacteristic
134#10622558C2211yescharacteristic
135#10622558C2211yescharacteristic
136#10622558C2211yescharacteristic, complemented
137#10622557C2211yescharacteristic
138#10622557C2211yescharacteristic
139#10622557C2211yescharacteristic, complemented
140#10622557C2211yescharacteristic, complemented
141#10622556C2211yescharacteristic, complemented
142#10622555C2211yescharacteristic
143#10622555C2211yescharacteristic, complemented
144C22⋊C4×Dic11C2211yescharacteristic
145C22⋊C4×Dic11C2211yescharacteristic
146C22⋊C4×Dic11C2211yescharacteristic
147C22⋊C4×Dic11C2211yescharacteristic
148C22⋊C4×Dic11C2211yescharacteristic
149C22⋊C4×Dic11C2211yescharacteristic
150C22⋊C4×Dic11C2211yescharacteristic
151C22⋊C4×Dic11C2211yescharacteristic
152C22⋊C4×Dic11C2211yescharacteristic
153C22⋊C4×Dic11C2211yescharacteristic
154C22⋊C4×Dic11C2211yescharacteristic
155C22⋊C4×Dic11C2211yescharacteristic, complemented
156C22⋊C4×Dic11C2211yescharacteristic, complemented
157#10622287C2211yescharacteristic, complemented
158#10622283C2211yescharacteristic, complemented
159#10622283C2211yescharacteristic, complemented
160#10622282C2211yescharacteristic, complemented
161#10622282C2211yescharacteristic, complemented
162#10622279C2211yescharacteristic, complemented
163#10622279C2211yescharacteristic, complemented
164#10622279C2211yescharacteristic, complemented
165#10622274C2211yescharacteristic, complemented
166#10622273C2211yescharacteristic, complemented
167#10622273C2211yescharacteristic, complemented
168#10622272C2211yescharacteristic, complemented
169#10622270C2211yescharacteristic, complemented
170#10622270C2211yescharacteristic, complemented
171#10622269C2211yescharacteristic, complemented
172#10622268C2211yescharacteristic, complemented
173#10622268C2211yescharacteristic, complemented
174#10622267C2211yescharacteristic, complemented
175#10622267C2211yescharacteristic, complemented
176#10622266C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622262C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622262C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622261C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C2×C11×#41—24no—
191C2×C11×#41—24no—
192C2×C11×#41—24no—
193C22×Q8×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C22×D4×C11C2311yescharacteristic
200C22×D4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C23×C4×C11C2311yescharacteristic
204C23×C4×C11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C23×Dic11—24no—
211C23×Dic11—24no—
212C23×Dic11—42no—
213C23×Dic11C2311yescharacteristic
214C23×Dic11C2311yescharacteristic
215C23×Dic11C2311yescharacteristic
216C23×Dic11C2311yescharacteristic
217C23×Dic11C2311yescharacteristic
218C23×Dic11C2311yescharacteristic
219C23×Dic11C2311yescharacteristic
220C23×Dic11C2311yescharacteristic
221C23×Dic11C2311yescharacteristic
222C23×Dic11C2311yescharacteristic
223C23×Dic11C2311yescharacteristic
224C23×Dic11C2311yescharacteristic
225C2×#4341—24no—
226C2×#4341—24no—
227C2×#4341—42no—
228C22×C4×D11C2311yescharacteristic
229C22×Dic22C2311yescharacteristic
230C11×#120—24no—
231C11×#120—24no—
232C2×C11×C22⋊C4—24no—
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊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
247#67006—24no—
248C2×C22⋊Dic11—24no—
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
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
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272Q8×Dic11—24no—
273Q8×Dic11—24no—
274#66992—24no—
275#66992—24no—
276#66992—24no—
277#66992—24no—
278#66988—24no—
279#66988—24no—
280D4×Dic11—24no—
281D4×Dic11—24no—
282D4×Dic11—24no—
283D4×Dic11—24no—
284D4×Dic11—24no—
285D4×Dic11—24no—
286D4×Dic11—24no—
287D4×Dic11—42no—
288D4×Dic11D418yescomplemented
289#66982—24no—
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299#66979—24no—
300#66979—24no—
301#66979—24no—
302C2×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×C4⋊Dic11C2311yescharacteristic
305C2×C4⋊Dic11C2311yescharacteristic
306C2×C4⋊Dic11C2311yescharacteristic
307C2×C4⋊Dic11C2311yescharacteristic
308C2×C4⋊Dic11C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×C4×Dic11—24no—
327C2×C4×Dic11—24no—
328C2×C4×Dic11—24no—
329C2×C4×Dic11—42no—
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
342C2×C4×Dic11C2311yescharacteristic
343C2×C4×Dic11C2311yescharacteristic
344C2×C4×Dic11C2311yescharacteristic
345C2×C4×Dic11C2311yescharacteristic
346C2×C4×Dic11C2311yescharacteristic
347#66939—24no—
348(C22⋊D11)⋊C4—24no—
349(C22⋊D11)⋊C4—24no—
350(C22⋊D11)⋊C4—42no—
351#66931—24no—
352#66931—24no—
353#66930—24no—
354#66930—42no—
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11×#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
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
391#34732—111nomaximal, Sylow
392C24×C11—22no—
393C24×C11—22no—
394C24×C11—22no—
395C24×C11—22no—
396C24×C11—22no—
397C24×C11—41no—
398C24×C11—41no—
399C24×C11C2411yescharacteristic
400C24×C11C2411yescharacteristic
401C24×C11C2411yescharacteristic
402C24×C11C2411yescharacteristic
403C24×C11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C11×#41—232no—
406C2×Q8×C11—22no—
407C2×Q8×C11—22no—
408C2×Q8×C11—22no—
409C2×D4×C11—22no—
410C2×D4×C11—22no—
411C2×D4×C11—22no—
412C2×D4×C11—22no—
413C2×D4×C11—22no—
414C2×D4×C11—22no—
415C2×D4×C11—22no—
416C2×D4×C11—22no—
417C2×D4×C11—22no—
418C2×D4×C11—22no—
419C2×D4×C11—22no—
420C2×D4×C11—22no—
421C2×D4×C11—22no—
422C2×D4×C11—22no—
423C2×D4×C11—22no—
424C2×D4×C11—41no—
425C2×D4×C11—41no—
426C2×D4×C11—41no—
427C2×D4×C11—41no—
428C2×D4×C11C2×D414yes—
429C2×D4×C11#4114yescomplemented
430C22×C4×C11—22no—
431C22×C4×C11—22no—
432C22×C4×C11—22no—
433C22×C4×C11—22no—
434C22×C4×C11—22no—
435C22×C4×C11—22no—
436C22×C4×C11—22no—
437C22×C4×C11—22no—
438C22×C4×C11—22no—
439C22×C4×C11—41no—
440C22×C4×C11—41no—
441C22×C4×C11#4114yescomplemented
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
447C22×C4×C11C2411yescharacteristic
448C22×C4×C11C2411yescharacteristic
449C22×C4×C11C2411yescharacteristic
450C22×C4×C11C2411yescharacteristic
451C22×C4×C11C2411yescharacteristic
452C2×C22⋊D11—22no—
453C2×C22⋊D11—22no—
454C2×C22⋊D11—22no—
455C2×C22⋊D11—22no—
456C2×C22⋊D11—22no—
457C2×C22⋊D11—22no—
458C2×C22⋊D11—22no—
459C2×C22⋊D11—22no—
460C2×C22⋊D11—22no—
461C2×C22⋊D11—22no—
462C2×C22⋊D11—22no—
463C2×C22⋊D11—41no—
464C2×C22⋊D11—41no—
465C2×C22⋊D11—41no—
466C2×C22⋊D11—41no—
467C22×Dic11—22no—
468C22×Dic11—22no—
469C22×Dic11—22no—
470C22×Dic11—22no—
471C22×Dic11—22no—
472C22×Dic11—22no—
473C22×Dic11—22no—
474C22×Dic11—22no—
475C22×Dic11—22no—
476C22×Dic11—22no—
477C22×Dic11—22no—
478C22×Dic11—22no—
479C22×Dic11—22no—
480C22×Dic11—22no—
481C22×Dic11—22no—
482C22×Dic11—22no—
483C22×Dic11—22no—
484C22×Dic11—22no—
485C22×Dic11—22no—
486C22×Dic11—22no—
487C22×Dic11—22no—
488C22×Dic11—22no—
489C22×Dic11—22no—
490C22×Dic11—22no—
491C22×Dic11—22no—
492C22×Dic11—22no—
493C22×Dic11—41no—
494C22×Dic11—41no—
495C22×Dic11—41no—
496C22×Dic11—41no—
497C22×Dic11—41no—
498C22×Dic11—41no—
499C22×Dic11—41no—
500C22×Dic11—416no—
501C22×Dic11C2×D414yes—
502C22×Dic11C2×D414yes—
503C22×Dic11#4114yescomplemented
504C22×Dic11C2411yescharacteristic
505C22×Dic11C2411yescharacteristic
506C22×Dic11C2411yescharacteristic
507C22×Dic11C2411yescharacteristic
508C22×Dic11C2411yescharacteristic
509C22×Dic11C2411yescharacteristic
510C22×Dic11C2411yescharacteristic
511C22×Dic11C2411yescharacteristic
512C22×Dic11C2411yescharacteristic
513C22×Dic11C2411yescharacteristic
514C22×Dic11C2411yescharacteristic
515C22×Dic11C2411yescharacteristic
516C22×Dic11C2411yescharacteristic
517C22×Dic11C2411yescharacteristic
518C22×Dic11C2411yescharacteristic
519#4341—416no—
520C2×C4×D11—22no—
521C2×C4×D11—22no—
522C2×C4×D11—22no—
523C2×Dic22—22no—
524C2×Dic22—22no—
525C2×Dic22—41no—
526C11×C22⋊C4—22no—
527C11×C22⋊C4—22no—
528C11×C22⋊C4—22no—
529C11×C22⋊C4—22no—
530C11×C22⋊C4—22no—
531C11×C22⋊C4—22no—
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⋊C4—41no—
540C22⋊Dic11—22no—
541C22⋊Dic11—22no—
542C22⋊Dic11—22no—
543C22⋊Dic11—22no—
544C22⋊Dic11—22no—
545C22⋊Dic11—22no—
546C22⋊Dic11—22no—
547C22⋊Dic11—22no—
548C22⋊Dic11—22no—
549C22⋊Dic11—22no—
550C22⋊Dic11—22no—
551C22⋊Dic11—22no—
552C22⋊Dic11—22no—
553C22⋊Dic11—22no—
554C22⋊Dic11—22no—
555C22⋊Dic11—22no—
556C22⋊Dic11—41no—
557C22⋊Dic11—41no—
558C22⋊Dic11—41no—
559C22⋊Dic11—41no—
560C22⋊Dic11C2×D414yes—
561C22⋊Dic11C2×D414yes—
562C22⋊Dic11#4114yescomplemented
563(C2×D11)⋊C4—22no—
564(C2×D11)⋊C4—22no—
565(C2×D11)⋊C4—22no—
566(C2×D11)⋊C4—22no—
567(C2×D11)⋊C4—22no—
568(C2×D11)⋊C4—22no—
569(C2×D11)⋊C4—41no—
570(C2×D11)⋊C4—41no—
571(C2×D11)⋊C4—41no—
572C4⋊Dic11—22no—
573C4⋊Dic11—22no—
574C4⋊Dic11—22no—
575C4⋊Dic11—22no—
576C4⋊Dic11—22no—
577C4⋊Dic11—22no—
578C4⋊Dic11—22no—
579C4⋊Dic11—41no—
580C4⋊Dic11C2×D414yes—
581Dic11⋊C4—22no—
582Dic11⋊C4—22no—
583Dic11⋊C4—22no—
584Dic11⋊C4—22no—
585Dic11⋊C4—22no—
586Dic11⋊C4—22no—
587Dic11⋊C4—22no—
588Dic11⋊C4—22no—
589Dic11⋊C4—22no—
590Dic11⋊C4—22no—
591Dic11⋊C4—41no—
592Dic11⋊C4—41no—
593Dic11⋊C4—41no—
594Dic11⋊C4—41no—
595Dic11⋊C4—41no—
596C4×Dic11—22no—
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—22no—
610C4×Dic11—41no—
611C4×Dic11—41no—
612C4×Dic11C2×D414yes—
613C2×#525—111no—
614C2×C4×#41—111no—
615#2477—111no—
616#2476—111no—
617#2471—111no—
618#2470—111no—
619#2465—111no—
620#2464—111no—
621#2458—111no—
622#2457—111no—
623#2450—111no—
624#2444—111no—
625#2438—111no—
626#2430—111no—
627#2424—111no—
628#2418—111no—
629#2411—111no—
630#2404D1111yescharacteristic, complemented
631#2398—111no—
632#2396—111no—
633#2392—111no—
634#2388—111no—
635C4×#123—111no—
636C4×#123—111no—
637C4×#121—111no—
638C4×#121—111no—
639C4×#120—111no—
640#2297—111no—
641#2290—111no—
642#2290—111no—
643C2×C4×C22⋊C4—111no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—28no—
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×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—21no—
669C23×C11—21no—
670C23×C11—21no—
671C23×C11—21no—
672C23×C11—21no—
673C23×C11—44no—
674C23×C11—44no—
675C23×C11—44no—
676C23×C11—44no—
677C23×C11—44no—
678C23×C11—44no—
679C23×C11C22×D412yes—
680C23×C11C22×D412yes—
681C23×C11C2×#4112yes—
682C23×C11C2×#4112yes—
683C23×C11C2×#4112yes—
684C23×C11C2×#4112yes—
685C23×C11C2×#4112yes—
686C23×C11C2511yescharacteristic
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—21no—
691C22×D11—21no—
692C22×D11—21no—
693C22×D11—21no—
694Q8×C11—28no—
695D4×C11—28no—
696D4×C11—28no—
697D4×C11—28no—
698D4×C11—44no—
699D4×C11—44no—
700D4×C11—44no—
701D4×C11—44no—
702C2×C4×C11—28no—
703C2×C4×C11—28no—
704C2×C4×C11—28no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—44no—
732C2×C4×C11C22×D412yes—
733C2×C4×C11C2×#4112yes—
734C2×C4×C11C2×#4112yes—
735C2×C4×C11C2×#4112yes—
736C22⋊D11—44no—
737C22⋊D11—44no—
738C22⋊D11—44no—
739C22⋊D11—44no—
740C22⋊D11—44no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—28no—
754C2×Dic11—28no—
755C2×Dic11—28no—
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—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—44no—
781C2×Dic11—44no—
782C2×Dic11—44no—
783C2×Dic11—44no—
784C2×Dic11—44no—
785C2×Dic11—44no—
786C2×Dic11—44no—
787C2×Dic11—44no—
788C2×Dic11—44no—
789C2×Dic11C22×D412yes—
790C2×Dic11C22×D412yes—
791C2×Dic11C22×D412yes—
792C2×Dic11C22×D412yes—
793C2×Dic11C2×#4112yes—
794C2×Dic11C2×#4112yes—
795C2×Dic11C2×#4112yes—
796C2×Dic11C2×#4112yes—
797C2×Dic11H(5,𝔽2)12yes—
798C4×D11—44no—
799Dic22—44no—
800C22×#41—111no—
801C22×#41C2×D1111yescharacteristic
802C24×C4—111no—
803#525—228no—
804C2×#123—111no—
805C2×#123—111no—
806C2×#123—111no—
807C2×#123—111no—
808C2×C22⋊Q8—111no—
809C2×C22⋊Q8—111no—
810C2×#121—111no—
811C2×#121—111no—
812C2×#121—111no—
813C2×#121—111no—
814C2×#120—111no—
815C2×#120C2×D1111yescharacteristic
816C2×#120C2×D1111yescharacteristic
817C4×#41—228no—
818C2×C4×Q8—111no—
819C2×C4×Q8—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×D4—111no—
828C2×C4×D4—111no—
829C2×C4×D4—111no—
830C2×C4×D4—111no—
831C2×C4×D4—111no—
832C2×#117—111no—
833C2×#117—111no—
834C2×#117—111no—
835C2×#117—111no—
836C2×#117—111no—
837C22×C22⋊C4—111no—
838C22×C22⋊C4C2×D1111yescharacteristic
839C22×C42—111no—
840C22×C42—111no—
841C22×C42—111no—
842C22×C42—111no—
843#400—111no—
844#400—111no—
845#400—111no—
846#399—111no—
847#398—111no—
848#398—111no—
849#398—111no—
850#397—111no—
851#397—111no—
852#397—111no—
853#396—111no—
854#396—111no—
855#396—111no—
856#396—111no—
857#395—111no—
858#395—111no—
859#394—111no—
860#394—111no—
861#394—111no—
862#394—111no—
863#394—111no—
864#394—111no—
865#394—111no—
866#394—111no—
867#393—111no—
868#393—111no—
869#393C2×D1111yescharacteristic
870#393C2×D1111yescharacteristic
871#392—111no—
872#392—111no—
873#392C2×D1111yescharacteristic
874#392C2×D1111yescharacteristic
875#391—111no—
876#391—111no—
877#390—111no—
878#390—111no—
879#390—111no—
880#390—111no—
881#389—111no—
882#389—111no—
883#388—111no—
884#388—111no—
885#388—111no—
886#388—111no—
887#388—111no—
888#388—111no—
889#388—111no—
890#388—111no—
891#388—111no—
892#388—111no—
893#388—111no—
894#388—111no—
895#387—111no—
896#387—111no—
897#387—111no—
898#387—111no—
899#387—111no—
900#387—111no—
901#387—111no—
902#387—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#386—111no—
911#386—111no—
912#386—111no—
913#386—111no—
914#386C2×D1111yescharacteristic
915#386C2×D1111yescharacteristic
916#386C2×D1111yescharacteristic
917#386C2×D1111yescharacteristic
918#386C2×D1111yescharacteristic
919#386C2×D1111yescharacteristic
920#385—111no—
921#385—111no—
922#385—111no—
923#385—111no—
924#385—111no—
925#385—111no—
926#385—111no—
927#385—111no—
928#385—111no—
929#381—111no—
930#381C2×D1111yescharacteristic
931#380—111no—
932#380—111no—
933#379—111no—
934C4×C4⋊C4—111no—
935C4×C4⋊C4—111no—
936C4×C4⋊C4—111no—
937C4×C4⋊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⋊C4—111no—
949C4×C22⋊C4—111no—
950C4×C22⋊C4—111no—
951C4×C22⋊C4—111no—
952C4×C22⋊C4—111no—
953C4×C22⋊C4—111no—
954#376—111no—
955C2×#95—111no—
956C2×#95—111no—
957C22×C11—22no—
958C22×C11—22no—
959C22×C11—22no—
960C22×C11—22no—
961C22×C11—22no—
962C22×C11—22no—
963C22×C11—22no—
964C22×C11—22no—
965C22×C11—22no—
966C22×C11—22no—
967C22×C11—22no—
968C22×C11—22no—
969C22×C11—22no—
970C22×C11—22no—
971C22×C11—22no—
972C22×C11—22no—
973C22×C11—22no—
974C22×C11—22no—
975C22×C11—416no—
976C22×C11—41no—
977C22×C11—41no—
978C22×C11—41no—
979C22×C11—41no—
980C22×C11—41no—
981C22×C11—41no—
982C22×C11—41no—
983C22×C11—41no—
984C22×C11—41no—
985C22×C11—41no—
986C22×C11—41no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
992C22×C11#52514yes—
993C22×C11C23×D411yescharacteristic
994C22×C11C22×#4111yescharacteristic
995C22×C11C22×#4111yescharacteristic
996C22×C11C22×#4111yescharacteristic
997C22×C11C22×#4111yescharacteristic
998C22×C11C2×H(5,𝔽2)11yescharacteristic
999C22×C11#58511yescharacteristic
1000C2×D11—41no—
1001C2×D11—41no—
1002C2×D11—41no—
1003C2×D11—41no—
1004C2×D11—41no—
1005C2×D11—41no—
1006C2×D11—41no—
1007C4×C11—22no—
1008C4×C11—22no—
1009C4×C11—22no—
1010C4×C11—22no—
1011C4×C11—41no—
1012C4×C11—41no—
1013C4×C11—41no—
1014C4×C11—41no—
1015C4×C11—41no—
1016C4×C11—41no—
1017Dic11—22no—
1018Dic11—22no—
1019Dic11—22no—
1020Dic11—22no—
1021Dic11—22no—
1022Dic11—22no—
1023Dic11—41no—
1024Dic11—41no—
1025Dic11—41no—
1026Dic11—41no—
1027Dic11—41no—
1028Dic11—41no—
1029Dic11—41no—
1030Dic11—41no—
1031Dic11#54614yes—
1032C25C22×D1111yescharacteristic
1033C2×#41—24no—
1034C2×#41—24no—
1035C2×#41—24no—
1036C2×#41—224no—
1037C2×#41—224no—
1038C2×#41—442no—
1039C22×Q8—111no—
1040C22×Q8C22×D1111yescharacteristic
1041C22×D4—111no—
1042C22×D4—111no—
1043C22×D4—111no—
1044C22×D4—111no—
1045C22×D4—111no—
1046C22×D4C22×D1111yescharacteristic
1047C22×D4C22×D1111yescharacteristic
1048C22×D4C22×D1111yescharacteristic
1049C22×D4C22×D1111yescharacteristic
1050C22×D4C22×D1111yescharacteristic
1051C22×D4C22×D1111yescharacteristic
1052C22×D4C22×D1111yescharacteristic
1053C23×C4—111no—
1054C23×C4—111no—
1055C23×C4—111no—
1056C23×C4—111no—
1057C23×C4—111no—
1058C23×C4—111no—
1059C23×C4—111no—
1060C23×C4—111no—
1061C23×C4—111no—
1062C23×C4—111no—
1063C23×C4—111no—
1064C23×C4—111no—
1065C23×C4—111no—
1066C23×C4—224no—
1067C23×C4—224no—
1068C23×C4—442no—
1069C23×C4C22×D1111yescharacteristic
1070C23×C4C22×D1111yescharacteristic
1071C23×C4C22×D1111yescharacteristic
1072C23×C4C22×D1111yescharacteristic
1073#123—224no—
1074#123—224no—
1075#123—224no—
1076#123—224no—
1077C22⋊Q8—224no—
1078C22⋊Q8—224no—
1079#121—224no—
1080#121—224no—
1081#121—224no—
1082#121—224no—
1083#120—24no—
1084#120—24no—
1085#120—224no—
1086C4×Q8—224no—
1087C4×Q8—224no—
1088C4×D4—118no—
1089C4×D4—224no—
1090C4×D4—224no—
1091C4×D4—224no—
1092C4×D4—224no—
1093C4×D4—224no—
1094C4×D4—224no—
1095C4×D4—224no—
1096C4×D4—224no—
1097C4×D4—224no—
1098C4×D4—442no—
1099C4×D4—442no—
1100#117—224no—
1101#117—224no—
1102#117—224no—
1103#117—224no—
1104#117—442no—
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—111no—
1122C2×C4⋊C4—111no—
1123C2×C4⋊C4—111no—
1124C2×C4⋊C4—111no—
1125C2×C4⋊C4—111no—
1126C2×C4⋊C4—111no—
1127C2×C4⋊C4—111no—
1128C2×C4⋊C4—111no—
1129C2×C22⋊C4—24no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
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⋊C4—111no—
1159C2×C22⋊C4—111no—
1160C2×C22⋊C4—111no—
1161C2×C22⋊C4—111no—
1162C2×C22⋊C4—224no—
1163C2×C22⋊C4C22×D1111yescharacteristic
1164C2×C22⋊C4C22×D1111yescharacteristic
1165C2×C22⋊C4C22×D1111yescharacteristic
1166C2×C22⋊C4C22×D1111yescharacteristic
1167C2×C22⋊C4C22×D1111yescharacteristic
1168C2×C22⋊C4C22×D1111yescharacteristic
1169C2×C22⋊C4C22×D1111yescharacteristic
1170C2×C22⋊C4C22×D1111yescharacteristic
1171C2×C22⋊C4C22×D1111yescharacteristic
1172C2×C22⋊C4C22×D1111yescharacteristic
1173C2×C22⋊C4C22×D1111yescharacteristic
1174C2×C22⋊C4C22×D1111yescharacteristic
1175C2×C22⋊C4C22×D1111yescharacteristic
1176C2×C22⋊C4C22×D1111yescharacteristic
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—111no—
1189C2×C42—111no—
1190C2×C42—111no—
1191C2×C42—111no—
1192C2×C42—111no—
1193C2×C42—111no—
1194C2×C42—224no—
1195C2×C42—224no—
1196C2×C42—224no—
1197C2×C42—442no—
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#95—111no—
1222#95—111no—
1223#95—111no—
1224#95—111no—
1225#95—111no—
1226#95C22×D1111yescharacteristic
1227#95C22×D1111yescharacteristic
1228#95C22×D1111yescharacteristic
1229#95C22×D1111yescharacteristic
1230#95C22×D1111yescharacteristic
1231#95C22×D1111yescharacteristic
1232#95C22×D1111yescharacteristic
1233#95C22×D1111yescharacteristic
1234C2×C11—24no—
1235C2×C11—42no—
1236C2×C11—42no—
1237C2×C11—42no—
1238C2×C11—42no—
1239C2×C11C2×#52511yescharacteristic
1240C2×C11#344411yescharacteristic
1241C2×C11#346011yescharacteristic
1242C2×C11C2×#54611yescharacteristic
1243C2×C11D4×#4111yescharacteristic
1244C2×C11#347511yescharacteristic
1245C2×C11#348111yescharacteristic
1246D11—81no—
1247C24—22no—
1248C24—22no—
1249C24—22no—
1250C24—22no—
1251C24—22no—
1252C24—41no—
1253C24—41no—
1254C24—111no—
1255C24C23×D1111yescharacteristic
1256C24C23×D1111yescharacteristic
1257C24C23×D1111yescharacteristic
1258C24C23×D1111yescharacteristic
1259C24C23×D1111yescharacteristic
1260#41—232no—
1261#41—4416no—
1262C2×Q8—22no—
1263C2×Q8—22no—
1264C2×Q8—22no—
1265C2×Q8—222no—
1266C2×Q8—222no—
1267C2×Q8—441no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—222no—
1288C2×D4—222no—
1289C2×D4—222no—
1290C2×D4—222no—
1291C2×D4—222no—
1292C2×D4—222no—
1293C2×D4—222no—
1294C2×D4—222no—
1295C2×D4—222no—
1296C2×D4—222no—
1297C2×D4—222no—
1298C2×D4—441no—
1299C2×D4—441no—
1300C2×D4—441no—
1301C2×D4—441no—
1302C2×D4D4×D1114yes—
1303C2×D4#434114yescomplemented
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—111no—
1316C22×C4—114no—
1317C22×C4—114no—
1318C22×C4—114no—
1319C22×C4—111no—
1320C22×C4—111no—
1321C22×C4—111no—
1322C22×C4—111no—
1323C22×C4—111no—
1324C22×C4—111no—
1325C22×C4—111no—
1326C22×C4—111no—
1327C22×C4—111no—
1328C22×C4—111no—
1329C22×C4—111no—
1330C22×C4—111no—
1331C22×C4—111no—
1332C22×C4—111no—
1333C22×C4—222no—
1334C22×C4—222no—
1335C22×C4—222no—
1336C22×C4—222no—
1337C22×C4—222no—
1338C22×C4—222no—
1339C22×C4—222no—
1340C22×C4—222no—
1341C22×C4—222no—
1342C22×C4—222no—
1343C22×C4—222no—
1344C22×C4—222no—
1345C22×C4—222no—
1346C22×C4—222no—
1347C22×C4—222no—
1348C22×C4—222no—
1349C22×C4—222no—
1350C22×C4—222no—
1351C22×C4—222no—
1352C22×C4—222no—
1353C22×C4—222no—
1354C22×C4—222no—
1355C22×C4—222no—
1356C22×C4—222no—
1357C22×C4—222no—
1358C22×C4—222no—
1359C22×C4—222no—
1360C22×C4—222no—
1361C22×C4—222no—
1362C22×C4—441no—
1363C22×C4—441no—
1364C22×C4—441no—
1365C22×C4—441no—
1366C22×C4—441no—
1367C22×C4—441no—
1368C22×C4—441no—
1369C22×C4—4416no—
1370C22×C4#434114yescomplemented
1371C22×C4C23×D1111yescharacteristic
1372C22×C4C23×D1111yescharacteristic
1373C22×C4C23×D1111yescharacteristic
1374C22×C4C23×D1111yescharacteristic
1375C22×C4C23×D1111yescharacteristic
1376C22×C4C23×D1111yescharacteristic
1377C22×C4C23×D1111yescharacteristic
1378C22×C4C23×D1111yescharacteristic
1379C22×C4C23×D1111yescharacteristic
1380C22×C4C23×D1111yescharacteristic
1381C4⋊C4—114no—
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—222no—
1395C4⋊C4—222no—
1396C4⋊C4—222no—
1397C4⋊C4—222no—
1398C4⋊C4—222no—
1399C4⋊C4—441no—
1400C4⋊C4—441no—
1401C4⋊C4—441no—
1402C4⋊C4—441no—
1403C4⋊C4—441no—
1404C4⋊C4—441no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—114no—
1420C22⋊C4—114no—
1421C22⋊C4—114no—
1422C22⋊C4—222no—
1423C22⋊C4—222no—
1424C22⋊C4—222no—
1425C22⋊C4—222no—
1426C22⋊C4—222no—
1427C22⋊C4—222no—
1428C22⋊C4—222no—
1429C22⋊C4—222no—
1430C22⋊C4—222no—
1431C22⋊C4—222no—
1432C22⋊C4—222no—
1433C22⋊C4—222no—
1434C22⋊C4—222no—
1435C22⋊C4—222no—
1436C22⋊C4—222no—
1437C22⋊C4—222no—
1438C22⋊C4—222no—
1439C22⋊C4—222no—
1440C22⋊C4—222no—
1441C22⋊C4—222no—
1442C22⋊C4—222no—
1443C22⋊C4—222no—
1444C22⋊C4—441no—
1445C22⋊C4—441no—
1446C22⋊C4—441no—
1447C22⋊C4—441no—
1448C22⋊C4—441no—
1449C22⋊C4—441no—
1450C22⋊C4—441no—
1451C42—114no—
1452C42—222no—
1453C42—222no—
1454C42—222no—
1455C42—222no—
1456C42—222no—
1457C42—222no—
1458C42—222no—
1459C42—222no—
1460C42—222no—
1461C42—222no—
1462C42—222no—
1463C42—222no—
1464C42—222no—
1465C42—222no—
1466C42—441no—
1467C42—441no—
1468C11#3473211yescharacteristic, complemented, Sylow
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—28no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—44no—
1499C23—44no—
1500C23—44no—
1501C23—44no—
1502C23—44no—
1503C23—44no—
1504C23—221no—
1505C23—221no—
1506C23—221no—
1507C23—221no—
1508C23—221no—
1509C23—221no—
1510C23—221no—
1511C23C2×D4×D1112yes—
1512C23C2×D4×D1112yes—
1513C23C2×#434112yes—
1514C23C2×#434112yes—
1515C23C2×#434112yes—
1516C23#41×D1112yes—
1517C23#41×D1112yes—
1518C23C24×D1111yescharacteristic
1519Q8—28no—
1520Q8—444no—
1521D4—28no—
1522D4—28no—
1523D4—28no—
1524D4—44no—
1525D4—44no—
1526D4—44no—
1527D4—44no—
1528D4—444no—
1529D4—444no—
1530D4—444no—
1531D4—444no—
1532D4—444no—
1533C2×C4—28no—
1534C2×C4—28no—
1535C2×C4—28no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—44no—
1563C2×C4—112no—
1564C2×C4—112no—
1565C2×C4—112no—
1566C2×C4—112no—
1567C2×C4—112no—
1568C2×C4—112no—
1569C2×C4—112no—
1570C2×C4—112no—
1571C2×C4—112no—
1572C2×C4—228no—
1573C2×C4—228no—
1574C2×C4—228no—
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—221no—
1588C2×C4—221no—
1589C2×C4—221no—
1590C2×C4—221no—
1591C2×C4—221no—
1592C2×C4—221no—
1593C2×C4—221no—
1594C2×C4—221no—
1595C2×C4—221no—
1596C2×C4—221no—
1597C2×C4—221no—
1598C2×C4—221no—
1599C2×C4—221no—
1600C2×C4—221no—
1601C2×C4—221no—
1602C2×C4—221no—
1603C2×C4—221no—
1604C2×C4—221no—
1605C2×C4—221no—
1606C2×C4—221no—
1607C2×C4—221no—
1608C2×C4—221no—
1609C2×C4—221no—
1610C2×C4—221no—
1611C2×C4—444no—
1612C2×C4—444no—
1613C2×C4—444no—
1614C2×C4—444no—
1615C2×C4—444no—
1616C2×C4—444no—
1617C2×C4—444no—
1618C2×C4—444no—
1619C2×C4—444no—
1620C2×C4—444no—
1621C2×C4C2×D4×D1112yes—
1622C2×C4C2×#434112yes—
1623C2×C4C2×#434112yes—
1624C2×C4C2×#434112yes—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—416no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—441no—
1661C22—441no—
1662C22—441no—
1663C22—441no—
1664C22—441no—
1665C22—441no—
1666C22—441no—
1667C22#1062311714yes—
1668C22C22×D4×D1111yescharacteristic
1669C22C22×#434111yescharacteristic
1670C22C22×#434111yescharacteristic
1671C22C2×#41×D1111yescharacteristic
1672C22C2×#41×D1111yescharacteristic
1673C22D11×H(5,𝔽2)11yescharacteristic
1674C22#1062345511yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—114no—
1686C4—222no—
1687C4—222no—
1688C4—222no—
1689C4—222no—
1690C4—222no—
1691C4—222no—
1692C4—441no—
1693C4—441no—
1694C4—441no—
1695C4—441no—
1696C4—441no—
1697C4—441no—
1698C4—441no—
1699C4—441no—
1700C2—24no—
1701C2—42no—
1702C2—42no—
1703C2—42no—
1704C2—42no—
1705C2—881no—
1706C2C2×#1062311711yescharacteristic
1707C2#1308190811yescharacteristic
1708C2#1308202911yescharacteristic
1709C2D11×#54611yescharacteristic
1710C2#1308210011yescharacteristic
1711C2#1308216711yescharacteristic
1712C2#1308222111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2404C2
hypercenter#2404D11
hypocenterC11#34732
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2404

Complements

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

NH ≅ G/Ntype
1. C2×#10623117C2semidirect
2. C2×#41×Dic11C2semidirect
3. #13072814C2semidirect
4. #13072799C2semidirect
5. #13072724C2semidirect
6. #13072709C2semidirect
7. #13072630C2semidirect
8. #13072615C2semidirect
9. #13072531C2semidirect
10. #13072516C2semidirect
11. #13072446C2semidirect
12. #13072364C2semidirect
13. #13072294C2semidirect
14. #13072220C2semidirect
15. #13072156C2semidirect
16. #13072074C2semidirect
17. #13072001C2semidirect
18. #13071898C2semidirect
19. #13071883C2semidirect
20. #13071851C2semidirect
21. #13071828C2semidirect
22. #13071141C2semidirect
23. #13071133C2semidirect
24. #13071126C2semidirect
25. #13071126C2semidirect
26. #120×Dic11C2semidirect
27. #13071101C2semidirect
28. #13071056C2semidirect
29. #13071056C2semidirect
30. C2×C22⋊C4×Dic11C2semidirect
31. C11×#2404C2semidirect
41. C2×Q8×Dic11C22semidirect
42. C2×Q8×Dic11C22semidirect
56. C2×D4×Dic11C22semidirect
57. C2×D4×Dic11C22semidirect
60. C2×#66979C22semidirect
61. C2×#66979C22semidirect
64. C22×C4×Dic11C22semidirect
65. C22×C4×Dic11C22semidirect
70. C2×(C22⋊D11)⋊C4C22semidirect
74. C2×#66930C22semidirect
87. #10622844C22semidirect
88. #10622842C22semidirect
90. #10622836C22semidirect
94. #10622835C22semidirect
102. #10622826C22semidirect
103. #10622826C22semidirect
105. #10622823C22semidirect
106. #10622823C22semidirect
112. #10622574C22semidirect
114. #10622571C22semidirect
118. #10622570C22semidirect
120. #10622566C22semidirect
128. #10622561C22semidirect
129. #10622560C22semidirect
132. #10622559C22semidirect
136. #10622558C22semidirect
139. #10622557C22semidirect
140. #10622557C22semidirect
141. #10622556C22semidirect
143. #10622555C22semidirect
155. C22⋊C4×Dic11C22semidirect
156. C22⋊C4×Dic11C22semidirect
157. #10622287C22semidirect
158. #10622283C22semidirect
159. #10622283C22semidirect
160. #10622282C22semidirect
161. #10622282C22semidirect
162. #10622279C22semidirect
163. #10622279C22semidirect
164. #10622279C22semidirect
165. #10622274C22semidirect
166. #10622273C22semidirect
167. #10622273C22semidirect
168. #10622272C22semidirect
169. #10622270C22semidirect
170. #10622270C22semidirect
171. #10622269C22semidirect
172. #10622268C22semidirect
173. #10622268C22semidirect
174. #10622267C22semidirect
175. #10622267C22semidirect
176. #10622266C22semidirect
177. #10622266C22semidirect
178. #10622265C22semidirect
179. #10622265C22semidirect
180. #10622262C22semidirect
181. #10622262C22semidirect
182. #10622262C22semidirect
183. #10622262C22semidirect
184. #10622261C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
288. D4×Dic11D4semidirect
429. C2×D4×C11#41semidirect
441. C22×C4×C11#41semidirect
503. C22×Dic11#41semidirect
562. C22⋊Dic11#41semidirect
630. #2404D11semidirect
1303. C2×D4#4341semidirect
1370. C22×C4#4341semidirect
1468. C11#34732semidirect

Maximal subgroups

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

subgroupindex
C2×#106231172
C2×#41×Dic112
#130728142
#130727992
#130727242
#130727092
#130726302
#130726152
#130725312
#130725162
#130724462
#130723642
#130722942
#130722202
#130721562
#130720742
#130720012
#130718982
#130718832
#130718512
#130718282
#130711412
#130711332
#130711262
#120×Dic112
#130711012
#130710562
C2×C22⋊C4×Dic112
C11×#24042
#3473211