Finite Group Databasebeta

← #14962365

Subgroups — #14962365

Order 2816.

1736 conjugacy classes of subgroups.

The subgroup lattice has 1502 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076939C211yesmaximal, characteristic, complemented
2#13076915C211yesmaximal, characteristic, complemented
3#13076297C211yesmaximal, characteristic, complemented
4#13076249C211yesmaximal, characteristic, complemented
5#13076148C211yesmaximal, characteristic, complemented
6#13075955C211yesmaximal, characteristic, complemented
7#13075893C211yesmaximal, characteristic, complemented
8#13075769C211yesmaximal, characteristic, complemented
9#13075676C211yesmaximal, characteristic, complemented
10#13075659C211yesmaximal, characteristic, complemented
11#13075628C211yesmaximal, characteristic, complemented
12#13075121C211yesmaximal, characteristic, complemented
13#13075037C211yesmaximal, characteristic, complemented
14#13074995C211yesmaximal, characteristic, complemented
15#13074991C211yesmaximal, characteristic, complemented
16#13074944C211yesmaximal, characteristic
17#13074901C211yesmaximal, characteristic, complemented
18#13074644C211yesmaximal, characteristic, complemented
19#13074635C211yesmaximal, characteristic, complemented
20#13074225C211yesmaximal, characteristic, complemented
21#13074138C211yesmaximal, characteristic, complemented
22#13073711C211yesmaximal, characteristic, complemented
23#13073501C211yesmaximal, characteristic, complemented
24#13073473C211yesmaximal, characteristic, complemented
25#13073467C211yesmaximal, characteristic, complemented
26#13072305C211yesmaximal, characteristic, complemented
27#13071994C211yesmaximal, characteristic, complemented
28#13071401C211yesmaximal, characteristic, complemented
29#13071210C211yesmaximal, characteristic, complemented
30#13071052C211yesmaximal, characteristic, complemented
31C11×#2701C211yesmaximal, characteristic, complemented
32C2×C11×#123C2211yescharacteristic, complemented
33C2×C11×#121C2211yescharacteristic
34C2×#66990C2211yescharacteristic
35C2×#66990C2211yescharacteristic
36C2×#66989C2211yescharacteristic
37C2×#66982C2211yescharacteristic
38C2×#66977C2211yescharacteristic, complemented
39C22×C4×Dic11C2211yescharacteristic, complemented
40C2×#66945C2211yescharacteristic
41C2×#66941C2211yescharacteristic, complemented
42C2×#66938C2211yescharacteristic
43C2×#66936C2211yescharacteristic
44C2×#66936C2211yescharacteristic
45C2×(C22⋊D11)⋊C4C2211yescharacteristic
46C2×C22⋊C4×D11C2211yescharacteristic
47C11×#398C2211yescharacteristic, complemented
48C11×#397C2211yescharacteristic, complemented
49C11×#396C2211yescharacteristic
50C11×#394C2211yescharacteristic
51C11×#394C2211yescharacteristic
52C11×#394C2211yescharacteristic
53C11×#390C2211yescharacteristic, complemented
54C11×#389C2211yescharacteristic, complemented
55C11×#388C2211yescharacteristic
56C11×#386C2211yescharacteristic
57C11×#385C2211yescharacteristic, complemented
58C11×#385C2211yescharacteristic, complemented
59C11×#381C2211yescharacteristic, complemented
60#10622836C2211yescharacteristic
61#10622836C2211yescharacteristic
62#10622835C2211yescharacteristic
63#10622834C2211yescharacteristic
64#10622834C2211yescharacteristic
65#10622833C2211yescharacteristic
66#10622833C2211yescharacteristic
67#10622833C2211yescharacteristic, complemented
68#10622833C2211yescharacteristic, complemented
69#10622826C2211yescharacteristic
70#10622826C2211yescharacteristic
71#10622826C2211yescharacteristic
72#10622825C2211yescharacteristic, complemented
73C4×C22⋊Dic11C2211yescharacteristic, complemented
74#10622607C2211yescharacteristic
75#10622607C2211yescharacteristic
76#10622607C2211yescharacteristic
77#10622607C2211yescharacteristic
78#10622606C2211yescharacteristic
79#10622606C2211yescharacteristic
80#10622606C2211yescharacteristic
81#10622605C2211yescharacteristic
82#10622603C2211yescharacteristic
83#10622603C2211yescharacteristic
84#10622603C2211yescharacteristic
85#10622603C2211yescharacteristic
86#10622603C2211yescharacteristic
87#10622600C2211yescharacteristic
88#10622600C2211yescharacteristic
89#10622599C2211yescharacteristic, complemented
90#10622599C2211yescharacteristic, complemented
91#10622599C2211yescharacteristic, complemented
92#10622598C2211yescharacteristic, complemented
93#10622595C2211yescharacteristic, complemented
94#10622594C2211yescharacteristic, complemented
95#10622592C2211yescharacteristic, complemented
96#10622591C2211yescharacteristic, complemented
97#10622591C2211yescharacteristic, complemented
98#10622591C2211yescharacteristic, complemented
99#10622590C2211yescharacteristic, complemented
100C4⋊C4×Dic11C2211yescharacteristic, complemented
101C4⋊C4×Dic11C2211yescharacteristic, complemented
102#10622587C2211yescharacteristic, complemented
103#10622587C2211yescharacteristic, complemented
104#10622574C2211yescharacteristic
105#10622574C2211yescharacteristic
106#10622574C2211yescharacteristic
107#10622574C2211yescharacteristic
108#10622574C2211yescharacteristic
109#10622574C2211yescharacteristic
110#10622571C2211yescharacteristic
111#10622571C2211yescharacteristic
112#10622571C2211yescharacteristic
113#10622570C2211yescharacteristic
114#10622570C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622568C2211yescharacteristic
117#10622568C2211yescharacteristic
118#10622568C2211yescharacteristic
119#10622568C2211yescharacteristic
120#10622566C2211yescharacteristic
121#10622566C2211yescharacteristic
122#10622566C2211yescharacteristic
123#10622565C2211yescharacteristic
124#10622565C2211yescharacteristic, complemented
125#10622565C2211yescharacteristic, complemented
126#10622565C2211yescharacteristic, complemented
127#10622564C2211yescharacteristic
128#10622564C2211yescharacteristic
129#10622564C2211yescharacteristic
130#10622564C2211yescharacteristic
131#10622564C2211yescharacteristic, complemented
132#10622564C2211yescharacteristic, complemented
133#10622563C2211yescharacteristic, complemented
134#10622563C2211yescharacteristic, complemented
135#10622563C2211yescharacteristic, complemented
136#10622561C2211yescharacteristic
137#10622561C2211yescharacteristic
138#10622561C2211yescharacteristic, complemented
139#10622560C2211yescharacteristic
140#10622560C2211yescharacteristic, complemented
141#10622558C2211yescharacteristic
142#10622558C2211yescharacteristic
143#10622558C2211yescharacteristic, complemented
144#10622558C2211yescharacteristic, complemented
145#10622558C2211yescharacteristic, complemented
146#10622558C2211yescharacteristic, complemented
147#10622557C2211yescharacteristic
148#10622557C2211yescharacteristic
149#10622557C2211yescharacteristic, complemented
150C22⋊C4×Dic11C2211yescharacteristic, complemented
151#10622553C2211yescharacteristic
152C4×(C2×D11)⋊C4C2211yescharacteristic
153#10622549C2211yescharacteristic, complemented
154#10622541C2211yescharacteristic, complemented
155#10622287C2211yescharacteristic
156#10622286C2211yescharacteristic
157#10622286C2211yescharacteristic
158#10622286C2211yescharacteristic
159#10622283C2211yescharacteristic
160#10622283C2211yescharacteristic
161#10622283C2211yescharacteristic
162#10622283C2211yescharacteristic
163#10622283C2211yescharacteristic
164#10622282C2211yescharacteristic
165#10622282C2211yescharacteristic
166#10622282C2211yescharacteristic
167#10622281C2211yescharacteristic
168#10622280C2211yescharacteristic
169#10622279C2211yescharacteristic
170#10622277C2211yescharacteristic
171#10622274C2211yescharacteristic, complemented
172#10622274C2211yescharacteristic, complemented
173#10622273C2211yescharacteristic, complemented
174#10622270C2211yescharacteristic, complemented
175#10622268C2211yescharacteristic, complemented
176#10622268C2211yescharacteristic, complemented
177#10622268C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622266C2211yescharacteristic, complemented
180#10622266C2211yescharacteristic, complemented
181#10622266C2211yescharacteristic, complemented
182#10622266C2211yescharacteristic, complemented
183#10622264C2211yescharacteristic, complemented
184#10622261C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×Dic22C2311yescharacteristic
202C22×Dic22C2311yescharacteristic
203C11×#123—42no—
204C11×#121—42no—
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244#66990—42no—
245#66990—42no—
246#66989—42no—
247#66982—42no—
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281#66977—42no—
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×C4×Dic11—42no—
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304#66945—42no—
305#66941—42no—
306#66938—42no—
307#66936—24no—
308#66936—42no—
309(C22⋊D11)⋊C4—24no—
310C22⋊C4×D11—24no—
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11⋊#95C2311yescharacteristic
320C11⋊#95C2311yescharacteristic
321C11⋊#95C2311yescharacteristic
322C11⋊#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357#36784—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C24×C11C2411yescharacteristic
360C24×C11C2411yescharacteristic
361C23×D11—22no—
362C23×D11—41no—
363C23×D11—41no—
364C23×D11—41no—
365C23×D11—41no—
366C23×D11—41no—
367C23×D11—41no—
368C23×D11C2411yescharacteristic
369C23×D11C2411yescharacteristic
370C2×D4×C11—22no—
371C2×D4×C11—22no—
372C2×D4×C11—22no—
373C2×D4×C11—41no—
374C2×D4×C11—41no—
375C2×D4×C11—41no—
376C2×D4×C11—41no—
377C2×D4×C11—41no—
378C2×D4×C11—41no—
379C22×C4×C11—22no—
380C22×C4×C11—22no—
381C22×C4×C11—41no—
382C22×C4×C11—41no—
383C22×C4×C11—41no—
384C22×C4×C11—41no—
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C2×C22⋊D11—22no—
398C2×C22⋊D11—22no—
399C2×C22⋊D11—22no—
400C2×C22⋊D11—22no—
401C2×C22⋊D11—41no—
402C2×C22⋊D11—41no—
403C2×C22⋊D11—41no—
404C2×C22⋊D11—41no—
405C2×C22⋊D11—41no—
406C2×C22⋊D11—41no—
407C2×C22⋊D11—41no—
408C2×C22⋊D11—41no—
409C22×Dic11—22no—
410C22×Dic11—41no—
411C22×Dic11—41no—
412C22×Dic11—41no—
413C22×Dic11—41no—
414C22×Dic11—41no—
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C2×C4×D11—22no—
430C2×C4×D11—41no—
431C2×C4×D11—41no—
432C2×C4×D11—41no—
433C2×C4×D11—41no—
434C2×C4×D11#4114yes—
435C2×Dic22—22no—
436C2×Dic22—41no—
437C2×Dic22—41no—
438C2×Dic22—41no—
439C2×Dic22—41no—
440C2×Dic22—41no—
441C11×C4⋊C4—22no—
442C11×C4⋊C4—41no—
443C11×C4⋊C4—41no—
444C11×C4⋊C4—41no—
445C11×C4⋊C4—41no—
446C11×C4⋊C4—41no—
447C11×C4⋊C4—41no—
448C11×C4⋊C4—41no—
449C11×C22⋊C4—22no—
450C11×C22⋊C4—22no—
451C11×C22⋊C4—22no—
452C11×C22⋊C4—22no—
453C11×C22⋊C4—22no—
454C11×C22⋊C4—41no—
455C11×C22⋊C4—41no—
456C11×C22⋊C4—41no—
457C11×C22⋊C4—41no—
458C11×C22⋊C4—41no—
459C11×C22⋊C4—41no—
460C11×C22⋊C4—41no—
461C11×C22⋊C4—41no—
462C42×C11—41no—
463C22⋊Dic11—22no—
464C22⋊Dic11—22no—
465C22⋊Dic11—22no—
466C22⋊Dic11—22no—
467C22⋊Dic11—41no—
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⋊Dic11—41no—
477C22⋊Dic11—41no—
478C22⋊Dic11—41no—
479C22⋊Dic11—41no—
480(C2×D11)⋊C4—22no—
481(C2×D11)⋊C4—22no—
482(C2×D11)⋊C4—22no—
483(C2×D11)⋊C4—22no—
484(C2×D11)⋊C4—22no—
485(C2×D11)⋊C4—22no—
486(C2×D11)⋊C4—41no—
487(C2×D11)⋊C4—41no—
488(C2×D11)⋊C4—41no—
489(C2×D11)⋊C4—41no—
490(C2×D11)⋊C4—41no—
491(C2×D11)⋊C4—41no—
492(C2×D11)⋊C4—41no—
493(C2×D11)⋊C4—41no—
494(C2×D11)⋊C4—41no—
495(C2×D11)⋊C4—41no—
496(C2×D11)⋊C4—41no—
497(C2×D11)⋊C4—41no—
498(C2×D11)⋊C4—41no—
499(C2×D11)⋊C4—41no—
500(C2×D11)⋊C4—41no—
501(C2×D11)⋊C4—41no—
502C4⋊Dic11—22no—
503C4⋊Dic11—41no—
504C4⋊Dic11—41no—
505C4⋊Dic11—41no—
506C4⋊Dic11—41no—
507C4⋊Dic11—41no—
508C4⋊Dic11—41no—
509C4⋊Dic11—41no—
510C4⋊Dic11—41no—
511C4⋊Dic11—41no—
512C4⋊Dic11—41no—
513Dic11⋊C4—22no—
514Dic11⋊C4—22no—
515Dic11⋊C4—22no—
516Dic11⋊C4—41no—
517Dic11⋊C4—41no—
518Dic11⋊C4—41no—
519Dic11⋊C4—41no—
520Dic11⋊C4—41no—
521Dic11⋊C4—41no—
522Dic11⋊C4—41no—
523C4×Dic11—22no—
524C4×Dic11—22no—
525C4×Dic11—22no—
526C4×Dic11—41no—
527C4×Dic11—41no—
528C4×Dic11—41no—
529C4×Dic11—41no—
530C4×Dic11—41no—
531C4×Dic11—41no—
532C4×Dic11—41no—
533C4×Dic11—41no—
534#2853—111no—
535#2850—111no—
536#2783—111no—
537#2779—111no—
538#2772—111no—
539#2757—111no—
540#2753—111no—
541#2744—111no—
542#2737—111no—
543#2735—111no—
544#2731—111no—
545#2701D1111yescharacteristic, complemented
546#2693—111no—
547#2687—111no—
548#2684—111no—
549#2684—111no—
550#2678—111no—
551#2674—111no—
552#2651—111no—
553#2650—111no—
554#2602—111no—
555#2595—111no—
556#2557—111no—
557#2534—111no—
558#2532—111no—
559#2531—111no—
560#2439—111no—
561#2411—111no—
562#2335—111no—
563#2312—111no—
564#2290—111no—
565C23×C11—21no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11—21no—
569C23×C11—21no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11—21no—
578C23×C11—21no—
579C23×C11—21no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11H(5,𝔽2)12yes—
586C23×C11C2511yescharacteristic
587C22×D11—21no—
588C22×D11—21no—
589C22×D11—21no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—21no—
596C22×D11—21no—
597C22×D11—21no—
598C22×D11—21no—
599C22×D11—21no—
600C22×D11—44no—
601C22×D11—82no—
602C22×D11—82no—
603C22×D11—82no—
604C22×D11—82no—
605C22×D11—82no—
606C22×D11—82no—
607C22×D11C2×#4112yes—
608D4×C11—82no—
609D4×C11—82no—
610D4×C11—82no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—44no—
646C2×C4×C11—82no—
647C2×C4×C11C2×#4112yes—
648C2×C4×C11H(5,𝔽2)12yes—
649C22⋊D11—44no—
650C22⋊D11—82no—
651C22⋊D11—82no—
652C22⋊D11—82no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—44no—
695C2×Dic11—44no—
696C2×Dic11C2×#4112yes—
697C4×D11—44no—
698C4×D11—82no—
699Dic22—82no—
700Dic22—82no—
701C2×C4⋊Q8—111no—
702C2×#124—111no—
703C2×#124—111no—
704C2×#123—111no—
705C2×#123—111no—
706C2×#123—111no—
707C2×#123C2×D1111yescharacteristic, complemented
708C2×C22⋊Q8—111no—
709C2×#121C2×D1111yescharacteristic
710C2×#120—111no—
711C2×#120—111no—
712C2×C4×D4—111no—
713C2×#117—111no—
714C22×C22⋊C4—111no—
715C22×C42—111no—
716#400—111no—
717#400—111no—
718#400—111no—
719#400—111no—
720#400—111no—
721#399—111no—
722#398—111no—
723#398—111no—
724#398—111no—
725#398C2×D1111yescharacteristic, complemented
726#397—111no—
727#397—111no—
728#397—111no—
729#397—111no—
730#397—111no—
731#397—111no—
732#397—111no—
733#397—111no—
734#397—111no—
735#397—111no—
736#397—111no—
737#397C2×D1111yescharacteristic, complemented
738#396—111no—
739#396—111no—
740#396—111no—
741#396—111no—
742#396—111no—
743#396—111no—
744#396—111no—
745#396C2×D1111yescharacteristic
746#395—111no—
747#394—111no—
748#394—111no—
749#394—111no—
750#394—111no—
751#394—111no—
752#394—111no—
753#394—111no—
754#394C2×D1111yescharacteristic
755#394C2×D1111yescharacteristic
756#394C2×D1111yescharacteristic
757#393—111no—
758#393—111no—
759#393—111no—
760#393—111no—
761#393—111no—
762#392—111no—
763#392—111no—
764#391—111no—
765#391—111no—
766#391—111no—
767#390—111no—
768#390—111no—
769#390—111no—
770#390—111no—
771#390C2×D1111yescharacteristic, complemented
772#389—111no—
773#389—111no—
774#389—111no—
775#389C2×D1111yescharacteristic, complemented
776#388—111no—
777#388—111no—
778#388—111no—
779#388—111no—
780#388—111no—
781#388—111no—
782#388—111no—
783#388—111no—
784#388—111no—
785#388—111no—
786#388—111no—
787#388—111no—
788#388—111no—
789#388—111no—
790#388—111no—
791#388—111no—
792#388—111no—
793#388—111no—
794#388—111no—
795#388—111no—
796#388—111no—
797#388—111no—
798#388—111no—
799#388—111no—
800#388—111no—
801#388—111no—
802#388—111no—
803#388—111no—
804#388—111no—
805#388C2×D1111yescharacteristic
806#387—111no—
807#387—111no—
808#387—111no—
809#387—111no—
810#387—111no—
811#387—111no—
812#387—111no—
813#387—111no—
814#387—111no—
815#387—111no—
816#387—111no—
817#387—111no—
818#386—111no—
819#386—111no—
820#386—111no—
821#386—111no—
822#386—111no—
823#386—111no—
824#386—111no—
825#386—111no—
826#386—111no—
827#386—111no—
828#386—111no—
829#386C2×D1111yescharacteristic
830#385—111no—
831#385—111no—
832#385—111no—
833#385—111no—
834#385C2×D1111yescharacteristic, complemented
835#385C2×D1111yescharacteristic, complemented
836#383—111no—
837#382—111no—
838#382—111no—
839#381—111no—
840#381C2×D1111yescharacteristic, complemented
841#380—111no—
842#380—111no—
843#380—111no—
844#380—111no—
845#379—111no—
846#379—111no—
847#379—111no—
848#379—111no—
849C4×C4⋊C4—111no—
850C4×C4⋊C4—111no—
851C4×C22⋊C4—111no—
852C4×C22⋊C4—111no—
853C4×C22⋊C4—111no—
854C4×C22⋊C4—111no—
855#376—111no—
856C22×C11—22no—
857C22×C11—22no—
858C22×C11—22no—
859C22×C11—41no—
860C22×C11—41no—
861C22×C11—41no—
862C22×C11—41no—
863C22×C11—41no—
864C22×C11—41no—
865C22×C11—41no—
866C22×C11—41no—
867C22×C11—41no—
868C22×C11—41no—
869C22×C11—41no—
870C22×C11—41no—
871C22×C11—41no—
872C22×C11—41no—
873C22×C11—41no—
874C22×C11—41no—
875C22×C11—41no—
876C22×C11—41no—
877C22×C11C22×#4111yescharacteristic
878C22×C11C2×H(5,𝔽2)11yescharacteristic
879C22×C11C2×H(5,𝔽2)11yescharacteristic
880C22×C11#58511yescharacteristic
881C22×C11#58511yescharacteristic
882C22×C11#58511yescharacteristic
883C22×C11#58511yescharacteristic
884C2×D11—22no—
885C2×D11—22no—
886C2×D11—22no—
887C2×D11—41no—
888C2×D11—41no—
889C2×D11—41no—
890C2×D11—41no—
891C2×D11—41no—
892C2×D11—41no—
893C2×D11—41no—
894C2×D11—41no—
895C2×D11—41no—
896C2×D11—41no—
897C2×D11—41no—
898C2×D11—88no—
899C4×C11—22no—
900C4×C11—22no—
901C4×C11—41no—
902C4×C11—41no—
903C4×C11—41no—
904C4×C11—41no—
905C4×C11—41no—
906C4×C11—41no—
907C4×C11—41no—
908C4×C11—41no—
909C4×C11—41no—
910C4×C11—41no—
911Dic11—22no—
912Dic11—41no—
913Dic11—41no—
914Dic11—41no—
915Dic11—41no—
916Dic11—41no—
917Dic11—41no—
918Dic11—41no—
919Dic11—41no—
920Dic11—41no—
921Dic11—41no—
922Dic11—41no—
923Dic11—41no—
924Dic11—41no—
925C25—111no—
926C22×Q8—111no—
927C22×Q8—111no—
928C22×D4—111no—
929C22×D4—111no—
930C22×D4—111no—
931C22×D4—111no—
932C22×D4C22×D1111yescharacteristic
933C22×D4C22×D1111yescharacteristic
934C22×D4C22×D1111yescharacteristic
935C23×C4—111no—
936C23×C4—111no—
937C23×C4—111no—
938C23×C4—111no—
939C23×C4C22×D1111yescharacteristic
940C23×C4C22×D1111yescharacteristic
941C4⋊Q8—442no—
942#124—442no—
943#124—442no—
944#123—42no—
945#123—224no—
946#123—442no—
947#123—442no—
948C22⋊Q8—442no—
949#121—42no—
950#120—442no—
951#120—442no—
952C4×D4—224no—
953#117—442no—
954C2×C4⋊C4—111no—
955C2×C4⋊C4—111no—
956C2×C4⋊C4—111no—
957C2×C4⋊C4—111no—
958C2×C4⋊C4—111no—
959C2×C4⋊C4—111no—
960C2×C4⋊C4—111no—
961C2×C4⋊C4—111no—
962C2×C4⋊C4—111no—
963C2×C4⋊C4—111no—
964C2×C4⋊C4—111no—
965C2×C4⋊C4—111no—
966C2×C4⋊C4—111no—
967C2×C4⋊C4—111no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—111no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4—111no—
973C2×C4⋊C4—111no—
974C2×C4⋊C4—111no—
975C2×C4⋊C4C22×D1111yescharacteristic
976C2×C4⋊C4C22×D1111yescharacteristic
977C2×C4⋊C4C22×D1111yescharacteristic
978C2×C4⋊C4C22×D1111yescharacteristic
979C2×C4⋊C4C22×D1111yescharacteristic
980C2×C4⋊C4C22×D1111yescharacteristic
981C2×C4⋊C4C22×D1111yescharacteristic
982C2×C4⋊C4C22×D1111yescharacteristic
983C2×C22⋊C4—111no—
984C2×C22⋊C4—111no—
985C2×C22⋊C4—111no—
986C2×C22⋊C4—111no—
987C2×C22⋊C4—111no—
988C2×C22⋊C4—111no—
989C2×C22⋊C4—111no—
990C2×C22⋊C4—111no—
991C2×C22⋊C4—111no—
992C2×C22⋊C4—111no—
993C2×C22⋊C4—111no—
994C2×C22⋊C4—111no—
995C2×C22⋊C4—111no—
996C2×C22⋊C4—111no—
997C2×C22⋊C4—111no—
998C2×C22⋊C4—111no—
999C2×C22⋊C4—111no—
1000C2×C22⋊C4—111no—
1001C2×C22⋊C4—111no—
1002C2×C22⋊C4—111no—
1003C2×C22⋊C4—111no—
1004C2×C22⋊C4—111no—
1005C2×C22⋊C4—111no—
1006C2×C22⋊C4—111no—
1007C2×C22⋊C4—111no—
1008C2×C22⋊C4—111no—
1009C2×C22⋊C4—111no—
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—111no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4—111no—
1017C2×C22⋊C4—111no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—111no—
1020C2×C22⋊C4—111no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4—224no—
1023C2×C22⋊C4C22×D1111yescharacteristic
1024C2×C22⋊C4C22×D1111yescharacteristic
1025C2×C22⋊C4C22×D1111yescharacteristic
1026C2×C22⋊C4C22×D1111yescharacteristic
1027C2×C22⋊C4C22×D1111yescharacteristic
1028C2×C22⋊C4C22×D1111yescharacteristic
1029C2×C22⋊C4C22×D1111yescharacteristic
1030C2×C22⋊C4C22×D1111yescharacteristic
1031C2×C22⋊C4C22×D1111yescharacteristic
1032C2×C22⋊C4C22×D1111yescharacteristic
1033C2×C22⋊C4C22×D1111yescharacteristic
1034C2×C22⋊C4C22×D1111yescharacteristic
1035C2×C22⋊C4C22×D1111yescharacteristic
1036C2×C42—111no—
1037C2×C42—111no—
1038C2×C42—111no—
1039C2×C42—111no—
1040C2×C42—111no—
1041C2×C42—111no—
1042C2×C42—111no—
1043C2×C42—111no—
1044C2×C42—111no—
1045C2×C42—111no—
1046C2×C42—111no—
1047C2×C42—442no—
1048C2×C42C22×D1111yescharacteristic
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95—111no—
1059#95—111no—
1060#95—111no—
1061#95—111no—
1062#95—111no—
1063#95—111no—
1064#95—111no—
1065#95—111no—
1066#95—111no—
1067#95—111no—
1068#95—111no—
1069#95—111no—
1070#95—111no—
1071#95—111no—
1072#95—111no—
1073#95—111no—
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95—111no—
1082#95—111no—
1083#95—111no—
1084#95—111no—
1085#95—111no—
1086#95—111no—
1087#95C22×D1111yescharacteristic
1088#95C22×D1111yescharacteristic
1089#95C22×D1111yescharacteristic
1090#95C22×D1111yescharacteristic
1091#95C22×D1111yescharacteristic
1092#95C22×D1111yescharacteristic
1093#95C22×D1111yescharacteristic
1094#95C22×D1111yescharacteristic
1095C2×C11—42no—
1096C2×C11—81no—
1097C2×C11—81no—
1098C2×C11#345511yescharacteristic
1099C2×C11#349411yescharacteristic
1100C2×C11#350511yescharacteristic
1101C2×C11#353411yescharacteristic
1102C2×C11#354011yescharacteristic
1103C2×C11#354511yescharacteristic
1104C2×C11#356611yescharacteristic
1105D11—42no—
1106D11—81no—
1107C24—111no—
1108C24—111no—
1109C24—222no—
1110C24—441no—
1111C24—441no—
1112C24—441no—
1113C24—441no—
1114C24—441no—
1115C24—441no—
1116C24C23×D1111yescharacteristic
1117C24C23×D1111yescharacteristic
1118C24C23×D1111yescharacteristic
1119C2×Q8—222no—
1120C2×Q8—441no—
1121C2×Q8—441no—
1122C2×Q8—441no—
1123C2×Q8—441no—
1124C2×Q8—441no—
1125C2×D4—22no—
1126C2×D4—22no—
1127C2×D4—22no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—41no—
1134C2×D4—222no—
1135C2×D4—222no—
1136C2×D4—222no—
1137C2×D4—222no—
1138C2×D4—441no—
1139C2×D4—441no—
1140C2×D4—441no—
1141C2×D4—441no—
1142C2×D4—441no—
1143C2×D4—441no—
1144C2×D4—441no—
1145C2×D4—441no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—111no—
1153C22×C4—114no—
1154C22×C4—111no—
1155C22×C4—111no—
1156C22×C4—111no—
1157C22×C4—111no—
1158C22×C4—111no—
1159C22×C4—111no—
1160C22×C4—111no—
1161C22×C4—111no—
1162C22×C4—111no—
1163C22×C4—111no—
1164C22×C4—111no—
1165C22×C4—111no—
1166C22×C4—111no—
1167C22×C4—222no—
1168C22×C4—222no—
1169C22×C4—441no—
1170C22×C4—441no—
1171C22×C4—441no—
1172C22×C4—441no—
1173C22×C4—441no—
1174C22×C4—441no—
1175C22×C4—441no—
1176C22×C4—441no—
1177C22×C4—441no—
1178C22×C4C23×D1111yescharacteristic
1179C22×C4C23×D1111yescharacteristic
1180C22×C4C23×D1111yescharacteristic
1181C22×C4C23×D1111yescharacteristic
1182C22×C4C23×D1111yescharacteristic
1183C22×C4C23×D1111yescharacteristic
1184C22×C4C23×D1111yescharacteristic
1185C22×C4C23×D1111yescharacteristic
1186C22×C4C23×D1111yescharacteristic
1187C22×C4C23×D1111yescharacteristic
1188C22×C4C23×D1111yescharacteristic
1189C22×C4C23×D1111yescharacteristic
1190C4⋊C4—22no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C4⋊C4—222no—
1199C4⋊C4—222no—
1200C4⋊C4—222no—
1201C4⋊C4—222no—
1202C4⋊C4—441no—
1203C4⋊C4—441no—
1204C4⋊C4—441no—
1205C4⋊C4—441no—
1206C4⋊C4—441no—
1207C4⋊C4—441no—
1208C4⋊C4—441no—
1209C4⋊C4—441no—
1210C4⋊C4—441no—
1211C4⋊C4—441no—
1212C4⋊C4—441no—
1213C4⋊C4—441no—
1214C4⋊C4—441no—
1215C4⋊C4—441no—
1216C4⋊C4—441no—
1217C4⋊C4—441no—
1218C4⋊C4—441no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—222no—
1233C22⋊C4—222no—
1234C22⋊C4—222no—
1235C22⋊C4—222no—
1236C22⋊C4—222no—
1237C22⋊C4—222no—
1238C22⋊C4—222no—
1239C22⋊C4—222no—
1240C22⋊C4—222no—
1241C22⋊C4—222no—
1242C22⋊C4—441no—
1243C22⋊C4—441no—
1244C22⋊C4—441no—
1245C22⋊C4—441no—
1246C22⋊C4—441no—
1247C22⋊C4—441no—
1248C22⋊C4—441no—
1249C22⋊C4—441no—
1250C22⋊C4—441no—
1251C22⋊C4—441no—
1252C22⋊C4—441no—
1253C22⋊C4—441no—
1254C22⋊C4—441no—
1255C22⋊C4—441no—
1256C22⋊C4—441no—
1257C22⋊C4—441no—
1258C22⋊C4—441no—
1259C22⋊C4—441no—
1260C22⋊C4—441no—
1261C22⋊C4—441no—
1262C22⋊C4—441no—
1263C22⋊C4—441no—
1264C22⋊C4—441no—
1265C22⋊C4—441no—
1266C22⋊C4—441no—
1267C22⋊C4—441no—
1268C22⋊C4—441no—
1269C22⋊C4—441no—
1270C22⋊C4—441no—
1271C42—41no—
1272C42—222no—
1273C42—222no—
1274C42—222no—
1275C42—441no—
1276C42—441no—
1277C42—441no—
1278C42—441no—
1279C42—441no—
1280C42—441no—
1281C42—441no—
1282C42—441no—
1283C11#3678411yescharacteristic, complemented, Sylow
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—112no—
1305C23—221no—
1306C23—221no—
1307C23—221no—
1308C23—221no—
1309C23—221no—
1310C23—221no—
1311C23—221no—
1312C23—221no—
1313C23—221no—
1314C23—221no—
1315C23—221no—
1316C23—221no—
1317C23—221no—
1318C23—444no—
1319C23—882no—
1320C23—882no—
1321C23—882no—
1322C23—882no—
1323C23—882no—
1324C23—882no—
1325C23#6703712yes—
1326C23C24×D1111yescharacteristic
1327Q8—882no—
1328Q8—882no—
1329D4—82no—
1330D4—82no—
1331D4—82no—
1332D4—444no—
1333D4—882no—
1334D4—882no—
1335D4—882no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—44no—
1371C2×C4—82no—
1372C2×C4—112no—
1373C2×C4—221no—
1374C2×C4—221no—
1375C2×C4—221no—
1376C2×C4—221no—
1377C2×C4—221no—
1378C2×C4—221no—
1379C2×C4—221no—
1380C2×C4—221no—
1381C2×C4—221no—
1382C2×C4—221no—
1383C2×C4—221no—
1384C2×C4—221no—
1385C2×C4—221no—
1386C2×C4—221no—
1387C2×C4—221no—
1388C2×C4—221no—
1389C2×C4—221no—
1390C2×C4—221no—
1391C2×C4—221no—
1392C2×C4—221no—
1393C2×C4—221no—
1394C2×C4—221no—
1395C2×C4—221no—
1396C2×C4—221no—
1397C2×C4—221no—
1398C2×C4—221no—
1399C2×C4—221no—
1400C2×C4—221no—
1401C2×C4—221no—
1402C2×C4—221no—
1403C2×C4—221no—
1404C2×C4—221no—
1405C2×C4—221no—
1406C2×C4—221no—
1407C2×C4—221no—
1408C2×C4—221no—
1409C2×C4—221no—
1410C2×C4—221no—
1411C2×C4—221no—
1412C2×C4—221no—
1413C2×C4—221no—
1414C2×C4—444no—
1415C2×C4—444no—
1416C2×C4—444no—
1417C2×C4—882no—
1418C2×C4#41×D1112yes—
1419C2×C4#6704212yes—
1420C22—22no—
1421C22—22no—
1422C22—22no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—222no—
1442C22—222no—
1443C22—222no—
1444C22—441no—
1445C22—441no—
1446C22—441no—
1447C22—441no—
1448C22—441no—
1449C22—441no—
1450C22—441no—
1451C22—441no—
1452C22—441no—
1453C22—441no—
1454C22—441no—
1455C22—888no—
1456C22C2×#6703711yescharacteristic
1457C22C2×#41×D1111yescharacteristic
1458C22C2×#6704211yescharacteristic
1459C22#1062345511yescharacteristic
1460C22#1062345511yescharacteristic
1461C22#1062345511yescharacteristic
1462C22#1062345711yescharacteristic
1463C4—22no—
1464C4—22no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—222no—
1476C4—441no—
1477C4—441no—
1478C4—441no—
1479C4—441no—
1480C4—441no—
1481C4—441no—
1482C4—441no—
1483C4—441no—
1484C4—441no—
1485C4—441no—
1486C4—441no—
1487C4—441no—
1488C4—441no—
1489C2—42no—
1490C2—81no—
1491C2—81no—
1492C2—442no—
1493C2—881no—
1494C2#1308200011yescharacteristic
1495C2#1308234011yescharacteristic
1496C2#1308244511yescharacteristic
1497C2#1308280211yescharacteristic
1498C2#1308288811yescharacteristic
1499C2#1308296511yescharacteristic
1500C2#1308328911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2701C2
prime radical#13074944C2
hypercenter#2701D11
hypocenterC11#36784
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2701

Complements

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

NH ≅ G/Ntype
1. #13076939C2semidirect
2. #13076915C2semidirect
3. #13076297C2semidirect
4. #13076249C2semidirect
5. #13076148C2semidirect
6. #13075955C2semidirect
7. #13075893C2semidirect
8. #13075769C2semidirect
9. #13075676C2semidirect
10. #13075659C2semidirect
11. #13075628C2semidirect
12. #13075121C2semidirect
13. #13075037C2semidirect
14. #13074995C2semidirect
15. #13074991C2semidirect
17. #13074901C2semidirect
18. #13074644C2semidirect
19. #13074635C2semidirect
20. #13074225C2semidirect
21. #13074138C2semidirect
22. #13073711C2semidirect
23. #13073501C2semidirect
24. #13073473C2semidirect
25. #13073467C2semidirect
26. #13072305C2semidirect
27. #13071994C2semidirect
28. #13071401C2semidirect
29. #13071210C2semidirect
30. #13071052C2semidirect
31. C11×#2701C2semidirect
32. C2×C11×#123C22semidirect
38. C2×#66977C22semidirect
39. C22×C4×Dic11C22semidirect
41. C2×#66941C22semidirect
47. C11×#398C22semidirect
48. C11×#397C22semidirect
53. C11×#390C22semidirect
54. C11×#389C22semidirect
57. C11×#385C22semidirect
58. C11×#385C22semidirect
59. C11×#381C22semidirect
67. #10622833C22semidirect
68. #10622833C22semidirect
72. #10622825C22semidirect
73. C4×C22⋊Dic11C22semidirect
89. #10622599C22semidirect
90. #10622599C22semidirect
91. #10622599C22semidirect
92. #10622598C22semidirect
93. #10622595C22semidirect
94. #10622594C22semidirect
95. #10622592C22semidirect
96. #10622591C22semidirect
97. #10622591C22semidirect
98. #10622591C22semidirect
99. #10622590C22semidirect
100. C4⋊C4×Dic11C22semidirect
101. C4⋊C4×Dic11C22semidirect
102. #10622587C22semidirect
103. #10622587C22semidirect
124. #10622565C22semidirect
125. #10622565C22semidirect
126. #10622565C22semidirect
131. #10622564C22semidirect
132. #10622564C22semidirect
133. #10622563C22semidirect
134. #10622563C22semidirect
135. #10622563C22semidirect
138. #10622561C22semidirect
140. #10622560C22semidirect
143. #10622558C22semidirect
144. #10622558C22semidirect
145. #10622558C22semidirect
146. #10622558C22semidirect
149. #10622557C22semidirect
150. C22⋊C4×Dic11C22semidirect
153. #10622549C22semidirect
154. #10622541C22semidirect
171. #10622274C22semidirect
172. #10622274C22semidirect
173. #10622273C22semidirect
174. #10622270C22semidirect
175. #10622268C22semidirect
176. #10622268C22semidirect
177. #10622268C22semidirect
178. #10622266C22semidirect
179. #10622266C22semidirect
180. #10622266C22semidirect
181. #10622266C22semidirect
182. #10622266C22semidirect
183. #10622264C22semidirect
184. #10622261C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
545. #2701D11semidirect
707. C2×#123C2×D11semidirect
725. #398C2×D11semidirect
737. #397C2×D11semidirect
771. #390C2×D11semidirect
775. #389C2×D11semidirect
834. #385C2×D11semidirect
835. #385C2×D11semidirect
840. #381C2×D11semidirect
1283. C11#36784semidirect

Maximal subgroups

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

subgroupindex
#130769392
#130769152
#130762972
#130762492
#130761482
#130759552
#130758932
#130757692
#130756762
#130756592
#130756282
#130751212
#130750372
#130749952
#130749912
#130749442
#130749012
#130746442
#130746352
#130742252
#130741382
#130737112
#130735012
#130734732
#130734672
#130723052
#130719942
#130714012
#130712102
#130710522
C11×#27012
#3678411