Finite Group Databasebeta

← #14961667

Subgroups — #14961667

Order 2816.

2022 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076959C211yesmaximal, characteristic, complemented
2#13076922C211yesmaximal, characteristic, complemented
3#13076556C211yesmaximal, characteristic, complemented
4#13076545C211yesmaximal, characteristic, complemented
5#13076480C211yesmaximal, characteristic, complemented
6#13076469C211yesmaximal, characteristic, complemented
7#13076427C211yesmaximal, characteristic, complemented
8#13076419C211yesmaximal, characteristic, complemented
9#13075895C211yesmaximal, characteristic, complemented
10#13075891C211yesmaximal, characteristic, complemented
11#13075882C211yesmaximal, characteristic, complemented
12#13075878C211yesmaximal, characteristic, complemented
13#13075379C211yesmaximal, characteristic, complemented
14#13075367C211yesmaximal, characteristic, complemented
15#13075235C211yesmaximal, characteristic, complemented
16#13075232C211yesmaximal, characteristic, complemented
17#13074887C211yesmaximal, characteristic, complemented
18#13074878C211yesmaximal, characteristic, complemented
19#13074354C211yesmaximal, characteristic, complemented
20#13074354C211yesmaximal, characteristic, complemented
21#13072370C211yesmaximal, characteristic, complemented
22#13072362C211yesmaximal, characteristic, complemented
23#13072353C211yesmaximal, characteristic, complemented
24#13072345C211yesmaximal, characteristic, complemented
25#13072156C211yesmaximal, characteristic, complemented
26#13072152C211yesmaximal, characteristic, complemented
27#13072148C211yesmaximal, characteristic, complemented
28#13071317C211yesmaximal, characteristic, complemented
29#13071314C211yesmaximal, characteristic, complemented
30C2×#10622557C211yesmaximal, characteristic, complemented
31C11×#2424C211yesmaximal, characteristic, complemented
32C2×C11×#121C2211yescharacteristic
33C2×C11×#121C2211yescharacteristic
34C2×C11×#120C2211yescharacteristic
35C2×C11×#120C2211yescharacteristic
36C2×C4×D4×C11C2211yescharacteristic
37C22×C11×C22⋊C4C2211yescharacteristic
38C2×#67006C2211yescharacteristic
39C2×#67006C2211yescharacteristic
40C22×C22⋊Dic11C2211yescharacteristic
41C22×C22⋊Dic11C2211yescharacteristic
42C2×#66993C2211yescharacteristic, complemented
43C2×#66992C2211yescharacteristic
44C2×#66992C2211yescharacteristic
45C2×#66992C2211yescharacteristic
46C2×#66992C2211yescharacteristic
47C2×#66992C2211yescharacteristic
48C2×#66991C2211yescharacteristic
49C2×D4×Dic11C2211yescharacteristic
50C2×#66983C2211yescharacteristic
51C2×#66982C2211yescharacteristic, complemented
52C2×C4×C22⋊D11C2211yescharacteristic
53C22×Dic11⋊C4C2211yescharacteristic
54C22×C4×Dic11C2211yescharacteristic
55C2×#66942C2211yescharacteristic, complemented
56C2×#66937C2211yescharacteristic
57C2×#66936C2211yescharacteristic, complemented
58C2×(C22⋊D11)⋊C4C2211yescharacteristic
59C11×#396C2211yescharacteristic
60C11×#394C2211yescharacteristic
61C11×#394C2211yescharacteristic
62C11×#392C2211yescharacteristic
63C11×#390C2211yescharacteristic
64C11×#388C2211yescharacteristic
65C11×#386C2211yescharacteristic
66C11×#386C2211yescharacteristic
67C11×#385C2211yescharacteristic
68#10622836C2211yescharacteristic
69#10622836C2211yescharacteristic
70#10622836C2211yescharacteristic
71#10622836C2211yescharacteristic
72#10622836C2211yescharacteristic
73#10622836C2211yescharacteristic
74#10622835C2211yescharacteristic
75#10622835C2211yescharacteristic
76#10622835C2211yescharacteristic
77#10622835C2211yescharacteristic
78#10622835C2211yescharacteristic
79#10622835C2211yescharacteristic
80#10622835C2211yescharacteristic, complemented
81#10622834C2211yescharacteristic
82#10622834C2211yescharacteristic, complemented
83#10622833C2211yescharacteristic
84#10622833C2211yescharacteristic
85#10622833C2211yescharacteristic
86#10622833C2211yescharacteristic
87#10622833C2211yescharacteristic, complemented
88#10622826C2211yescharacteristic
89#10622826C2211yescharacteristic, complemented
90#10622823C2211yescharacteristic
91#10622823C2211yescharacteristic, complemented
92#10622823C2211yescharacteristic, complemented
93C2×C11⋊#95C2211yescharacteristic
94C2×C11⋊#95C2211yescharacteristic
95#10622606C2211yescharacteristic, complemented
96#10622605C2211yescharacteristic, complemented
97#10622604C2211yescharacteristic, complemented
98#10622603C2211yescharacteristic, complemented
99#10622602C2211yescharacteristic, complemented
100#10622601C2211yescharacteristic, complemented
101#10622599C2211yescharacteristic, complemented
102#10622594C2211yescharacteristic, complemented
103#10622594C2211yescharacteristic, complemented
104#10622593C2211yescharacteristic, complemented
105#10622591C2211yescharacteristic, complemented
106#10622591C2211yescharacteristic, complemented
107#10622591C2211yescharacteristic, complemented
108#10622589C2211yescharacteristic, complemented
109#10622585C2211yescharacteristic, complemented
110#10622574C2211yescharacteristic
111#10622574C2211yescharacteristic
112#10622573C2211yescharacteristic
113#10622572C2211yescharacteristic
114#10622572C2211yescharacteristic
115#10622572C2211yescharacteristic
116#10622572C2211yescharacteristic
117#10622572C2211yescharacteristic
118#10622572C2211yescharacteristic
119#10622572C2211yescharacteristic, complemented
120#10622572C2211yescharacteristic, complemented
121#10622571C2211yescharacteristic
122#10622571C2211yescharacteristic
123#10622571C2211yescharacteristic
124#10622571C2211yescharacteristic, complemented
125#10622570C2211yescharacteristic
126#10622570C2211yescharacteristic
127#10622570C2211yescharacteristic, complemented
128#10622570C2211yescharacteristic, complemented
129#10622570C2211yescharacteristic, complemented
130#10622570C2211yescharacteristic, complemented
131#10622569C2211yescharacteristic
132#10622569C2211yescharacteristic
133#10622569C2211yescharacteristic, complemented
134#10622569C2211yescharacteristic, complemented
135#10622566C2211yescharacteristic, complemented
136#10622565C2211yescharacteristic
137#10622565C2211yescharacteristic
138#10622565C2211yescharacteristic
139#10622565C2211yescharacteristic
140#10622565C2211yescharacteristic, complemented
141#10622565C2211yescharacteristic, complemented
142#10622564C2211yescharacteristic
143#10622563C2211yescharacteristic
144#10622562C2211yescharacteristic, complemented
145#10622561C2211yescharacteristic
146#10622561C2211yescharacteristic
147#10622561C2211yescharacteristic
148#10622559C2211yescharacteristic
149#10622559C2211yescharacteristic, complemented
150#10622558C2211yescharacteristic
151#10622558C2211yescharacteristic, complemented
152#10622558C2211yescharacteristic, complemented
153#10622557C2211yescharacteristic
154#10622557C2211yescharacteristic
155#10622557C2211yescharacteristic
156#10622557C2211yescharacteristic
157#10622557C2211yescharacteristic
158#10622557C2211yescharacteristic
159#10622557C2211yescharacteristic
160#10622557C2211yescharacteristic
161#10622557C2211yescharacteristic
162#10622557C2211yescharacteristic, complemented
163#10622557C2211yescharacteristic, complemented
164#10622556C2211yescharacteristic, complemented
165#10622555C2211yescharacteristic
166#10622555C2211yescharacteristic
167#10622553C2211yescharacteristic, complemented
168#10622553C2211yescharacteristic, complemented
169#10622546C2211yescharacteristic, complemented
170#10622546C2211yescharacteristic, complemented
171#10622288C2211yescharacteristic, complemented
172#10622288C2211yescharacteristic, complemented
173#10622282C2211yescharacteristic, complemented
174#10622281C2211yescharacteristic, complemented
175#10622281C2211yescharacteristic, complemented
176#10622278C2211yescharacteristic, complemented
177#10622277C2211yescharacteristic, complemented
178#10622273C2211yescharacteristic, complemented
179#10622270C2211yescharacteristic, complemented
180#10622268C2211yescharacteristic, complemented
181#10622266C2211yescharacteristic, complemented
182#10622265C2211yescharacteristic, complemented
183#10622265C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622263C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×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
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C23×Dic11C2311yescharacteristic
213C22×D44C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C11×#121—42no—
217C11×#121—42no—
218C11×#120—42no—
219C11×#120—42no—
220C4×D4×C11—42no—
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4—42no—
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
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×C42×C11C2311yescharacteristic
242#67006—42no—
243#67006—42no—
244C2×C22⋊Dic11—24no—
245C2×C22⋊Dic11—42no—
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
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
271#66993—42no—
272#66992—24no—
273#66992—24no—
274#66992—42no—
275#66992—42no—
276#66992—42no—
277#66991—42no—
278D4×Dic11—42no—
279#66983—42no—
280#66982—42no—
281C4×C22⋊D11—42no—
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×(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×C4⋊Dic11C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
302C2×Dic11⋊C4—42no—
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×Dic11⋊C4C2311yescharacteristic
321C2×C4×Dic11—42no—
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329#66942—42no—
330#66937—42no—
331#66936—42no—
332(C22⋊D11)⋊C4—42no—
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11×#95C2311yescharacteristic
336C11×#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369#36759—111nomaximal, Sylow
370C24×C11—22no—
371C24×C11—22no—
372C24×C11—22no—
373C24×C11—41no—
374C24×C11—41no—
375C24×C11—41no—
376C24×C11—41no—
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C24×C11C2411yescharacteristic
380C24×C11C2411yescharacteristic
381C24×C11C2411yescharacteristic
382C23×D11C2411yescharacteristic
383C23×D11C2411yescharacteristic
384C2×D4×C11—22no—
385C2×D4×C11—22no—
386C2×D4×C11—22no—
387C2×D4×C11—22no—
388C2×D4×C11—22no—
389C2×D4×C11—22no—
390C2×D4×C11—22no—
391C2×D4×C11—41no—
392C2×D4×C11—41no—
393C2×D4×C11—41no—
394C2×D4×C11—41no—
395C2×D4×C11—41no—
396C2×D4×C11—41no—
397C2×D4×C11—41no—
398C2×D4×C11—41no—
399C2×D4×C11—41no—
400C2×D4×C11—41no—
401C2×D4×C11—41no—
402C2×D4×C11—41no—
403C2×D4×C11—41no—
404C2×D4×C11—41no—
405C22×C4×C11—22no—
406C22×C4×C11—22no—
407C22×C4×C11—22no—
408C22×C4×C11—41no—
409C22×C4×C11—41no—
410C22×C4×C11—41no—
411C22×C4×C11—41no—
412C22×C4×C11—41no—
413C22×C4×C11—41no—
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C2×C22⋊D11—22no—
425C2×C22⋊D11—22no—
426C2×C22⋊D11—22no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11—22no—
429C2×C22⋊D11—22no—
430C2×C22⋊D11—22no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—41no—
435C2×C22⋊D11—41no—
436C2×C22⋊D11—41no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11—41no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11—41no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11—41no—
445C2×C22⋊D11—41no—
446C2×C22⋊D11—41no—
447C2×C22⋊D11—41no—
448C2×C22⋊D11—41no—
449C2×C22⋊D11—41no—
450C2×C22⋊D11—41no—
451C2×C22⋊D11—41no—
452C2×C22⋊D11—41no—
453C2×C22⋊D11—41no—
454C22×Dic11—22no—
455C22×Dic11—22no—
456C22×Dic11—22no—
457C22×Dic11—22no—
458C22×Dic11—41no—
459C22×Dic11—41no—
460C22×Dic11—41no—
461C22×Dic11—41no—
462C22×Dic11—41no—
463C22×Dic11—41no—
464C22×Dic11—41no—
465C22×Dic11—41no—
466C22×Dic11—41no—
467C22×Dic11—41no—
468C22×Dic11#4114yes—
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C2×D44—22no—
484C2×D44—41no—
485C2×D44—41no—
486C2×C4×D11—41no—
487C2×C4×D11—41no—
488C2×C4×D11—41no—
489C2×C4×D11—41no—
490C2×C4×D11—41no—
491C2×C4×D11—41no—
492C11×C4⋊C4—22no—
493C11×C4⋊C4—41no—
494C11×C4⋊C4—41no—
495C11×C4⋊C4—41no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—22no—
499C11×C22⋊C4—22no—
500C11×C22⋊C4—41no—
501C11×C22⋊C4—41no—
502C11×C22⋊C4—41no—
503C11×C22⋊C4—41no—
504C11×C22⋊C4—41no—
505C11×C22⋊C4—41no—
506C11×C22⋊C4—41no—
507C11×C22⋊C4—41no—
508C11×C22⋊C4—41no—
509C11×C22⋊C4—41no—
510C11×C22⋊C4—41no—
511C42×C11—41no—
512C22⋊Dic11—22no—
513C22⋊Dic11—22no—
514C22⋊Dic11—22no—
515C22⋊Dic11—22no—
516C22⋊Dic11—22no—
517C22⋊Dic11—22no—
518C22⋊Dic11—22no—
519C22⋊Dic11—22no—
520C22⋊Dic11—22no—
521C22⋊Dic11—22no—
522C22⋊Dic11—41no—
523C22⋊Dic11—41no—
524C22⋊Dic11—41no—
525C22⋊Dic11—41no—
526C22⋊Dic11—41no—
527C22⋊Dic11—41no—
528C22⋊Dic11—41no—
529C22⋊Dic11—41no—
530C22⋊Dic11—41no—
531C22⋊Dic11—41no—
532C22⋊Dic11—41no—
533C22⋊Dic11—41no—
534C22⋊Dic11—41no—
535C22⋊Dic11—41no—
536C22⋊Dic11—41no—
537(C2×D11)⋊C4—22no—
538(C2×D11)⋊C4—22no—
539(C2×D11)⋊C4—41no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4—41no—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4—41no—
546(C2×D11)⋊C4—41no—
547(C2×D11)⋊C4—41no—
548(C2×D11)⋊C4—41no—
549(C2×D11)⋊C4—41no—
550(C2×D11)⋊C4—41no—
551(C2×D11)⋊C4—41no—
552(C2×D11)⋊C4—41no—
553C4⋊Dic11—22no—
554C4⋊Dic11—41no—
555C4⋊Dic11—41no—
556C4⋊Dic11—41no—
557Dic11⋊C4—22no—
558Dic11⋊C4—22no—
559Dic11⋊C4—22no—
560Dic11⋊C4—22no—
561Dic11⋊C4—22no—
562Dic11⋊C4—22no—
563Dic11⋊C4—41no—
564Dic11⋊C4—41no—
565Dic11⋊C4—41no—
566Dic11⋊C4—41no—
567Dic11⋊C4—41no—
568Dic11⋊C4—41no—
569Dic11⋊C4—41no—
570Dic11⋊C4—41no—
571Dic11⋊C4—41no—
572Dic11⋊C4—41no—
573Dic11⋊C4—41no—
574Dic11⋊C4—41no—
575C4×Dic11—22no—
576C4×Dic11—22no—
577C4×Dic11—41no—
578C4×Dic11—41no—
579C4×Dic11—41no—
580C4×Dic11—41no—
581C4×Dic11—41no—
582#2856—111no—
583#2851—111no—
584#2803—111no—
585#2803—111no—
586#2797—111no—
587#2797—111no—
588#2793—111no—
589#2793—111no—
590#2753—111no—
591#2753—111no—
592#2752—111no—
593#2752—111no—
594#2711—111no—
595#2711—111no—
596#2701—111no—
597#2701—111no—
598#2673—111no—
599#2673—111no—
600#2617—111no—
601#2617—111no—
602#2444—111no—
603#2444—111no—
604#2443—111no—
605#2443—111no—
606#2424—111no—
607#2424—111no—
608#2424—111no—
609#2424D1111yescharacteristic, complemented
610#2325—111no—
611#2325—111no—
612C2×#388—111no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—21no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—44no—
646C23×C11—44no—
647C23×C11—44no—
648C23×C11—82no—
649C23×C11—82no—
650C23×C11—82no—
651C23×C11—82no—
652C23×C11C2×#4112yes—
653C23×C11H(5,𝔽2)12yes—
654C23×C11H(5,𝔽2)12yes—
655C23×C11C2511yescharacteristic
656C22×D11—21no—
657C22×D11—21no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11—21no—
664C22×D11—21no—
665C22×D11—21no—
666C22×D11—21no—
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—21no—
670D4×C11—44no—
671D4×C11—44no—
672D4×C11—82no—
673D4×C11—82no—
674D4×C11—82no—
675D4×C11—82no—
676D4×C11—82no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—44no—
707C2×C4×C11—82no—
708C2×C4×C11—82no—
709C2×C4×C11H(5,𝔽2)12yes—
710C22⋊D11—44no—
711C22⋊D11—44no—
712C22⋊D11—82no—
713C22⋊D11—82no—
714C22⋊D11—82no—
715C22⋊D11—82no—
716C22⋊D11—82no—
717C22⋊D11—82no—
718C22⋊D11—82no—
719C22⋊D11—82no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
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—21no—
749C2×Dic11—21no—
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—44no—
760C2×Dic11—44no—
761C2×Dic11—44no—
762C2×Dic11—82no—
763C2×Dic11—82no—
764C2×Dic11C2×#4112yes—
765C2×Dic11C2×#4112yes—
766C2×Dic11H(5,𝔽2)12yes—
767D44—82no—
768C4×D11—82no—
769C4×D11—82no—
770C2×#127—111no—
771C2×#125—111no—
772C2×#123—111no—
773C2×#123—111no—
774C2×#121—111no—
775C2×#121—111no—
776C2×#121—111no—
777C2×#121—111no—
778C2×#121—111no—
779C2×#121—111no—
780C2×#121—111no—
781C2×#121—111no—
782C2×#121C2×D1111yescharacteristic
783C2×#121C2×D1111yescharacteristic
784C2×#120—111no—
785C2×#120—111no—
786C2×#120C2×D1111yescharacteristic
787C2×#120C2×D1111yescharacteristic
788C2×C4×D4—111no—
789C2×C4×D4—111no—
790C2×C4×D4—111no—
791C2×C4×D4C2×D1111yescharacteristic
792C22×C4⋊C4—111no—
793C22×C22⋊C4—111no—
794C22×C22⋊C4—111no—
795C22×C22⋊C4C2×D1111yescharacteristic
796C22×C42—111no—
797#400—111no—
798#400—111no—
799#399—111no—
800#399—111no—
801#398—111no—
802#398—111no—
803#397—111no—
804#397—111no—
805#397—111no—
806#397—111no—
807#397—111no—
808#397—111no—
809#397—111no—
810#397—111no—
811#397—111no—
812#397—111no—
813#396—111no—
814#396—111no—
815#396—111no—
816#396C2×D1111yescharacteristic
817#394—111no—
818#394—111no—
819#394—111no—
820#394—111no—
821#394—111no—
822#394—111no—
823#394—111no—
824#394—111no—
825#394—111no—
826#394—111no—
827#394—111no—
828#394—111no—
829#394—111no—
830#394—111no—
831#394—111no—
832#394—111no—
833#394—111no—
834#394—111no—
835#394C2×D1111yescharacteristic
836#394C2×D1111yescharacteristic
837#392—111no—
838#392—111no—
839#392—111no—
840#392—111no—
841#392—111no—
842#392—111no—
843#392—111no—
844#392C2×D1111yescharacteristic
845#390—111no—
846#390—111no—
847#390—111no—
848#390—111no—
849#390—111no—
850#390—111no—
851#390—111no—
852#390—111no—
853#390—111no—
854#390C2×D1111yescharacteristic
855#389—111no—
856#389—111no—
857#388—111no—
858#388—111no—
859#388—111no—
860#388—111no—
861#388—111no—
862#388—111no—
863#388—111no—
864#388—111no—
865#388—111no—
866#388—111no—
867#388—111no—
868#388—111no—
869#388—111no—
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#388C2×D1111yescharacteristic
877#387—111no—
878#387—111no—
879#387—111no—
880#387—111no—
881#387—111no—
882#387—111no—
883#387—111no—
884#387—111no—
885#387—111no—
886#387—111no—
887#387—111no—
888#387—111no—
889#386—111no—
890#386—111no—
891#386—111no—
892#386—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#386C2×D1111yescharacteristic
906#386C2×D1111yescharacteristic
907#385—111no—
908#385—111no—
909#385—111no—
910#385—111no—
911#385—111no—
912#385—111no—
913#385—111no—
914#385—111no—
915#385—111no—
916#385C2×D1111yescharacteristic
917#384—111no—
918#382—111no—
919#381—111no—
920#381—111no—
921#380—111no—
922#380—111no—
923C2×#95—111no—
924C2×#95—111no—
925C22×C11—22no—
926C22×C11—22no—
927C22×C11—22no—
928C22×C11—22no—
929C22×C11—22no—
930C22×C11—22no—
931C22×C11—41no—
932C22×C11—41no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11—41no—
936C22×C11—41no—
937C22×C11—41no—
938C22×C11—41no—
939C22×C11—41no—
940C22×C11—41no—
941C22×C11—41no—
942C22×C11—41no—
943C22×C11—41no—
944C22×C11—41no—
945C22×C11—41no—
946C22×C11—41no—
947C22×C11—41no—
948C22×C11—41no—
949C22×C11—41no—
950C22×C11—41no—
951C22×C11—41no—
952C22×C11—41no—
953C22×C11—41no—
954C22×C11—41no—
955C22×C11—41no—
956C22×C11—41no—
957C22×C11—41no—
958C22×C11—41no—
959C22×C11—88no—
960C22×C11#54014yes—
961C22×C11C22×#4111yescharacteristic
962C22×C11C2×H(5,𝔽2)11yescharacteristic
963C22×C11C2×H(5,𝔽2)11yescharacteristic
964C22×C11C2×H(5,𝔽2)11yescharacteristic
965C22×C11C2×H(5,𝔽2)11yescharacteristic
966C22×C11#58511yescharacteristic
967C22×C11#58511yescharacteristic
968C2×D11—41no—
969C2×D11—41no—
970C2×D11—41no—
971C2×D11—41no—
972C2×D11—41no—
973C2×D11—41no—
974C2×D11—41no—
975C2×D11—41no—
976C2×D11—41no—
977C2×D11—41no—
978C2×D11—41no—
979C2×D11—41no—
980C2×D11—41no—
981C2×D11—41no—
982C4×C11—22no—
983C4×C11—41no—
984C4×C11—41no—
985C4×C11—41no—
986C4×C11—41no—
987C4×C11—41no—
988C4×C11—41no—
989C4×C11—41no—
990C4×C11—41no—
991C4×C11—41no—
992Dic11—22no—
993Dic11—22no—
994Dic11—22no—
995Dic11—41no—
996Dic11—41no—
997Dic11—41no—
998Dic11—41no—
999Dic11—41no—
1000Dic11—41no—
1001Dic11—41no—
1002Dic11—41no—
1003Dic11—41no—
1004Dic11—41no—
1005Dic11—41no—
1006C25C22×D1111yescharacteristic
1007C22×D4—111no—
1008C22×D4—111no—
1009C22×D4—111no—
1010C22×D4—111no—
1011C22×D4—111no—
1012C22×D4—111no—
1013C22×D4—111no—
1014C22×D4—111no—
1015C22×D4—111no—
1016C22×D4—111no—
1017C22×D4—111no—
1018C22×D4C22×D1111yescharacteristic
1019C22×D4C22×D1111yescharacteristic
1020C22×D4C22×D1111yescharacteristic
1021C22×D4C22×D1111yescharacteristic
1022C22×D4C22×D1111yescharacteristic
1023C22×D4C22×D1111yescharacteristic
1024C22×D4C22×D1111yescharacteristic
1025C23×C4—111no—
1026C23×C4—111no—
1027C23×C4—111no—
1028C23×C4—111no—
1029C23×C4—111no—
1030C23×C4—111no—
1031C23×C4—111no—
1032C23×C4C22×D1111yescharacteristic
1033C23×C4C22×D1111yescharacteristic
1034C23×C4C22×D1111yescharacteristic
1035#127—442no—
1036#125—442no—
1037#123—442no—
1038#123—442no—
1039#121—42no—
1040#121—42no—
1041#121—224no—
1042#121—224no—
1043#121—442no—
1044#121—442no—
1045#121—442no—
1046#121—442no—
1047#121—442no—
1048#121—442no—
1049#120—42no—
1050#120—42no—
1051#120—442no—
1052#120—442no—
1053C4×D4—42no—
1054C4×D4—442no—
1055C4×D4—442no—
1056C4×D4—442no—
1057C2×C4⋊C4—111no—
1058C2×C4⋊C4—111no—
1059C2×C4⋊C4—111no—
1060C2×C4⋊C4—111no—
1061C2×C4⋊C4—111no—
1062C2×C4⋊C4—111no—
1063C2×C4⋊C4—111no—
1064C2×C4⋊C4—111no—
1065C2×C4⋊C4—111no—
1066C2×C4⋊C4—111no—
1067C2×C4⋊C4—111no—
1068C2×C4⋊C4—111no—
1069C2×C4⋊C4—111no—
1070C2×C4⋊C4—111no—
1071C2×C4⋊C4—111no—
1072C2×C4⋊C4—111no—
1073C2×C4⋊C4—111no—
1074C2×C4⋊C4—111no—
1075C2×C4⋊C4—111no—
1076C2×C4⋊C4—111no—
1077C2×C4⋊C4—111no—
1078C2×C4⋊C4—111no—
1079C2×C4⋊C4—442no—
1080C2×C4⋊C4C22×D1111yescharacteristic
1081C2×C4⋊C4C22×D1111yescharacteristic
1082C2×C4⋊C4C22×D1111yescharacteristic
1083C2×C4⋊C4C22×D1111yescharacteristic
1084C2×C22⋊C4—42no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—224no—
1127C2×C22⋊C4—442no—
1128C2×C22⋊C4C22×D1111yescharacteristic
1129C2×C22⋊C4C22×D1111yescharacteristic
1130C2×C22⋊C4C22×D1111yescharacteristic
1131C2×C22⋊C4C22×D1111yescharacteristic
1132C2×C22⋊C4C22×D1111yescharacteristic
1133C2×C22⋊C4C22×D1111yescharacteristic
1134C2×C22⋊C4C22×D1111yescharacteristic
1135C2×C22⋊C4C22×D1111yescharacteristic
1136C2×C22⋊C4C22×D1111yescharacteristic
1137C2×C22⋊C4C22×D1111yescharacteristic
1138C2×C22⋊C4C22×D1111yescharacteristic
1139C2×C22⋊C4C22×D1111yescharacteristic
1140C2×C22⋊C4C22×D1111yescharacteristic
1141C2×C22⋊C4C22×D1111yescharacteristic
1142C2×C22⋊C4C22×D1111yescharacteristic
1143C2×C42—111no—
1144C2×C42—111no—
1145C2×C42—111no—
1146C2×C42—111no—
1147C2×C42—111no—
1148C2×C42—111no—
1149C2×C42—111no—
1150C2×C42—442no—
1151C2×C42C22×D1111yescharacteristic
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95—111no—
1167#95—111no—
1168#95—111no—
1169#95—111no—
1170#95—111no—
1171#95—111no—
1172#95—111no—
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95—111no—
1180#95—111no—
1181#95—111no—
1182#95—111no—
1183#95—111no—
1184#95C22×D1111yescharacteristic
1185#95C22×D1111yescharacteristic
1186#95C22×D1111yescharacteristic
1187#95C22×D1111yescharacteristic
1188C2×C11—24no—
1189C2×C11—81no—
1190C2×C11—81no—
1191C2×C11—81no—
1192C2×C11—81no—
1193C2×C11C2×#54011yescharacteristic
1194C2×C11#350511yescharacteristic
1195C2×C11#350611yescharacteristic
1196C2×C11#353411yescharacteristic
1197C2×C11#353711yescharacteristic
1198C2×C11#355811yescharacteristic
1199C2×C11#356011yescharacteristic
1200D11—81no—
1201D11—81no—
1202C24—22no—
1203C24—22no—
1204C24—22no—
1205C24—41no—
1206C24—41no—
1207C24—41no—
1208C24—41no—
1209C24—111no—
1210C24—111no—
1211C24C23×D1111yescharacteristic
1212C24C23×D1111yescharacteristic
1213C24C23×D1111yescharacteristic
1214C24C23×D1111yescharacteristic
1215C24C23×D1111yescharacteristic
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—222no—
1238C2×D4—222no—
1239C2×D4—222no—
1240C2×D4—222no—
1241C2×D4—222no—
1242C2×D4—222no—
1243C2×D4—222no—
1244C2×D4—222no—
1245C2×D4—222no—
1246C2×D4—222no—
1247C2×D4—222no—
1248C2×D4—441no—
1249C2×D4—441no—
1250C2×D4—441no—
1251C2×D4—441no—
1252C2×D4—441no—
1253C2×D4—441no—
1254C2×D4—441no—
1255C2×D4—441no—
1256C2×D4—441no—
1257C2×D4—441no—
1258C2×D4—441no—
1259C2×D4—441no—
1260C2×D4—441no—
1261C2×D4—441no—
1262C2×D4—441no—
1263C2×D4—441no—
1264C2×D4—441no—
1265C2×D4—441no—
1266C2×D4—441no—
1267C2×D4—441no—
1268C2×D4—441no—
1269C2×D4—441no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—111no—
1280C22×C4—111no—
1281C22×C4—111no—
1282C22×C4—114no—
1283C22×C4—111no—
1284C22×C4—111no—
1285C22×C4—111no—
1286C22×C4—111no—
1287C22×C4—111no—
1288C22×C4—111no—
1289C22×C4—111no—
1290C22×C4—111no—
1291C22×C4—111no—
1292C22×C4—111no—
1293C22×C4—111no—
1294C22×C4—222no—
1295C22×C4—222no—
1296C22×C4—222no—
1297C22×C4—222no—
1298C22×C4—441no—
1299C22×C4—441no—
1300C22×C4—441no—
1301C22×C4—441no—
1302C22×C4—441no—
1303C22×C4—441no—
1304C22×C4—441no—
1305C22×C4—441no—
1306C22×C4—441no—
1307C22×C4—441no—
1308C22×C4—441no—
1309C22×C4—441no—
1310C22×C4—441no—
1311C22×C4—441no—
1312C22×C4—441no—
1313C22×C4—441no—
1314C22×C4C23×D1111yescharacteristic
1315C22×C4C23×D1111yescharacteristic
1316C22×C4C23×D1111yescharacteristic
1317C22×C4C23×D1111yescharacteristic
1318C22×C4C23×D1111yescharacteristic
1319C22×C4C23×D1111yescharacteristic
1320C22×C4C23×D1111yescharacteristic
1321C22×C4C23×D1111yescharacteristic
1322C22×C4C23×D1111yescharacteristic
1323C22×C4C23×D1111yescharacteristic
1324C4⋊C4—22no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—222no—
1329C4⋊C4—222no—
1330C4⋊C4—222no—
1331C4⋊C4—222no—
1332C4⋊C4—222no—
1333C4⋊C4—222no—
1334C4⋊C4—222no—
1335C4⋊C4—441no—
1336C4⋊C4—441no—
1337C4⋊C4—441no—
1338C4⋊C4—441no—
1339C4⋊C4—441no—
1340C4⋊C4—441no—
1341C4⋊C4—441no—
1342C4⋊C4—441no—
1343C4⋊C4—441no—
1344C4⋊C4—441no—
1345C4⋊C4—441no—
1346C4⋊C4—441no—
1347C4⋊C4—441no—
1348C4⋊C4—441no—
1349C4⋊C4—441no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—222no—
1366C22⋊C4—222no—
1367C22⋊C4—222no—
1368C22⋊C4—222no—
1369C22⋊C4—222no—
1370C22⋊C4—222no—
1371C22⋊C4—222no—
1372C22⋊C4—222no—
1373C22⋊C4—222no—
1374C22⋊C4—222no—
1375C22⋊C4—222no—
1376C22⋊C4—222no—
1377C22⋊C4—441no—
1378C22⋊C4—441no—
1379C22⋊C4—441no—
1380C22⋊C4—441no—
1381C22⋊C4—441no—
1382C22⋊C4—441no—
1383C22⋊C4—441no—
1384C22⋊C4—441no—
1385C22⋊C4—441no—
1386C22⋊C4—441no—
1387C22⋊C4—441no—
1388C22⋊C4—441no—
1389C22⋊C4—441no—
1390C22⋊C4—441no—
1391C22⋊C4—441no—
1392C22⋊C4—441no—
1393C22⋊C4—441no—
1394C22⋊C4—441no—
1395C22⋊C4—441no—
1396C22⋊C4—441no—
1397C22⋊C4—441no—
1398C22⋊C4—441no—
1399C22⋊C4—441no—
1400C22⋊C4—441no—
1401C22⋊C4—441no—
1402C22⋊C4—441no—
1403C22⋊C4—441no—
1404C22⋊C4—441no—
1405C22⋊C4—441no—
1406C42—41no—
1407C42—222no—
1408C42—222no—
1409C42—441no—
1410C42—441no—
1411C42—441no—
1412C42—441no—
1413C42—441no—
1414C11#3675911yescharacteristic, complemented, Sylow
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—44no—
1448C23—44no—
1449C23—44no—
1450C23—82no—
1451C23—82no—
1452C23—82no—
1453C23—82no—
1454C23—221no—
1455C23—221no—
1456C23—221no—
1457C23—221no—
1458C23—221no—
1459C23—221no—
1460C23—221no—
1461C23—221no—
1462C23—221no—
1463C23—221no—
1464C23—221no—
1465C23—221no—
1466C23—221no—
1467C23—221no—
1468C23#6703712yes—
1469C23#6703712yes—
1470C23#41×D1112yes—
1471C23C24×D1111yescharacteristic
1472D4—44no—
1473D4—44no—
1474D4—82no—
1475D4—82no—
1476D4—82no—
1477D4—82no—
1478D4—82no—
1479D4—444no—
1480D4—444no—
1481D4—882no—
1482D4—882no—
1483D4—882no—
1484D4—882no—
1485D4—882no—
1486D4—882no—
1487D4—882no—
1488D4—882no—
1489D4—882no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
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—44no—
1520C2×C4—82no—
1521C2×C4—82no—
1522C2×C4—112no—
1523C2×C4—112no—
1524C2×C4—112no—
1525C2×C4—221no—
1526C2×C4—221no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—221no—
1530C2×C4—221no—
1531C2×C4—221no—
1532C2×C4—221no—
1533C2×C4—221no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—221no—
1539C2×C4—221no—
1540C2×C4—221no—
1541C2×C4—221no—
1542C2×C4—221no—
1543C2×C4—221no—
1544C2×C4—221no—
1545C2×C4—221no—
1546C2×C4—221no—
1547C2×C4—221no—
1548C2×C4—221no—
1549C2×C4—221no—
1550C2×C4—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
1556C2×C4—221no—
1557C2×C4—221no—
1558C2×C4—221no—
1559C2×C4—221no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—444no—
1565C2×C4—444no—
1566C2×C4—444no—
1567C2×C4—882no—
1568C2×C4—882no—
1569C2×C4—882no—
1570C2×C4—882no—
1571C2×C4#6703712yes—
1572C22—22no—
1573C22—22no—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—88no—
1607C22—441no—
1608C22—441no—
1609C22—441no—
1610C22—441no—
1611C22—441no—
1612C22—441no—
1613C22—441no—
1614C22—441no—
1615C22—441no—
1616C22—441no—
1617C22—441no—
1618C22—441no—
1619C22—441no—
1620C22—441no—
1621C22#1062314614yes—
1622C22C2×#6703711yescharacteristic
1623C22C2×#6703711yescharacteristic
1624C22C2×#6703711yescharacteristic
1625C22C2×#41×D1111yescharacteristic
1626C22#1062345311yescharacteristic
1627C22D11×H(5,𝔽2)11yescharacteristic
1628C22#1062345511yescharacteristic
1629C4—22no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—222no—
1640C4—222no—
1641C4—222no—
1642C4—441no—
1643C4—441no—
1644C4—441no—
1645C4—441no—
1646C4—441no—
1647C4—441no—
1648C4—441no—
1649C4—441no—
1650C4—441no—
1651C4—441no—
1652C4—441no—
1653C2—24no—
1654C2—81no—
1655C2—81no—
1656C2—81no—
1657C2—81no—
1658C2—881no—
1659C2—881no—
1660C2C2×#1062314611yescharacteristic
1661C2#1308244411yescharacteristic
1662C2#1308246311yescharacteristic
1663C2#1308279411yescharacteristic
1664C2#1308284711yescharacteristic
1665C2#1308312611yescharacteristic
1666C2#1308316011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2424C2
hypercenter#2424D11
hypocenterC11#36759
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. #13076959C2semidirect
2. #13076922C2semidirect
3. #13076556C2semidirect
4. #13076545C2semidirect
5. #13076480C2semidirect
6. #13076469C2semidirect
7. #13076427C2semidirect
8. #13076419C2semidirect
9. #13075895C2semidirect
10. #13075891C2semidirect
11. #13075882C2semidirect
12. #13075878C2semidirect
13. #13075379C2semidirect
14. #13075367C2semidirect
15. #13075235C2semidirect
16. #13075232C2semidirect
17. #13074887C2semidirect
18. #13074878C2semidirect
19. #13074354C2semidirect
20. #13074354C2semidirect
21. #13072370C2semidirect
22. #13072362C2semidirect
23. #13072353C2semidirect
24. #13072345C2semidirect
25. #13072156C2semidirect
26. #13072152C2semidirect
27. #13072148C2semidirect
28. #13071317C2semidirect
29. #13071314C2semidirect
30. C2×#10622557C2semidirect
31. C11×#2424C2semidirect
42. C2×#66993C22semidirect
51. C2×#66982C22semidirect
55. C2×#66942C22semidirect
57. C2×#66936C22semidirect
80. #10622835C22semidirect
82. #10622834C22semidirect
87. #10622833C22semidirect
89. #10622826C22semidirect
91. #10622823C22semidirect
92. #10622823C22semidirect
95. #10622606C22semidirect
96. #10622605C22semidirect
97. #10622604C22semidirect
98. #10622603C22semidirect
99. #10622602C22semidirect
100. #10622601C22semidirect
101. #10622599C22semidirect
102. #10622594C22semidirect
103. #10622594C22semidirect
104. #10622593C22semidirect
105. #10622591C22semidirect
106. #10622591C22semidirect
107. #10622591C22semidirect
108. #10622589C22semidirect
109. #10622585C22semidirect
119. #10622572C22semidirect
120. #10622572C22semidirect
124. #10622571C22semidirect
127. #10622570C22semidirect
128. #10622570C22semidirect
129. #10622570C22semidirect
130. #10622570C22semidirect
133. #10622569C22semidirect
134. #10622569C22semidirect
135. #10622566C22semidirect
140. #10622565C22semidirect
141. #10622565C22semidirect
144. #10622562C22semidirect
149. #10622559C22semidirect
151. #10622558C22semidirect
152. #10622558C22semidirect
162. #10622557C22semidirect
163. #10622557C22semidirect
164. #10622556C22semidirect
167. #10622553C22semidirect
168. #10622553C22semidirect
169. #10622546C22semidirect
170. #10622546C22semidirect
171. #10622288C22semidirect
172. #10622288C22semidirect
173. #10622282C22semidirect
174. #10622281C22semidirect
175. #10622281C22semidirect
176. #10622278C22semidirect
177. #10622277C22semidirect
178. #10622273C22semidirect
179. #10622270C22semidirect
180. #10622268C22semidirect
181. #10622266C22semidirect
182. #10622265C22semidirect
183. #10622265C22semidirect
184. #10622265C22semidirect
185. #10622263C22semidirect
186. #10622260C22semidirect
609. #2424D11semidirect
1414. C11#36759semidirect

Maximal subgroups

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

subgroupindex
#130769592
#130769222
#130765562
#130765452
#130764802
#130764692
#130764272
#130764192
#130758952
#130758912
#130758822
#130758782
#130753792
#130753672
#130752352
#130752322
#130748872
#130748782
#130743542
#130723702
#130723622
#130723532
#130723452
#130721562
#130721522
#130721482
#130713172
#130713142
C2×#106225572
C11×#24242
#3675911