Finite Group Databasebeta

← #14962707

Subgroups — #14962707

Order 2816.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076933C211yesmaximal, characteristic, complemented
2#13076913C211yesmaximal, characteristic, complemented
3#13076596C211yesmaximal, characteristic, complemented
4#13076552C211yesmaximal, characteristic, complemented
5#13076549C211yesmaximal, characteristic, complemented
6#13076334C211yesmaximal, characteristic, complemented
7#13076278C211yesmaximal, characteristic, complemented
8#13076251C211yesmaximal, characteristic, complemented
9#13076236C211yesmaximal, characteristic, complemented
10#13076187C211yesmaximal, characteristic, complemented
11#13075986C211yesmaximal, characteristic, complemented
12#13075937C211yesmaximal, characteristic, complemented
13#13075937C211yesmaximal, characteristic, complemented
14#13075863C211yesmaximal, characteristic, complemented
15#13075641C211yesmaximal, characteristic, complemented
16#13075434C211yesmaximal, characteristic, complemented
17#13075407C211yesmaximal, characteristic, complemented
18#13075024C211yesmaximal, characteristic, complemented
19#13074392C211yesmaximal, characteristic, complemented
20#13074354C211yesmaximal, characteristic, complemented
21#13073182C211yesmaximal, characteristic, complemented
22#13072739C211yesmaximal, characteristic, complemented
23#13072364C211yesmaximal, characteristic, complemented
24#13072286C211yesmaximal, characteristic, complemented
25#13072228C211yesmaximal, characteristic, complemented
26#13072156C211yesmaximal, characteristic, complemented
27#13071935C211yesmaximal, characteristic, complemented
28#13071288C211yesmaximal, characteristic, complemented
29#13071204C211yesmaximal, characteristic, complemented
30C2×#10622564C211yesmaximal, characteristic, complemented
31C11×#2411C211yesmaximal, characteristic, complemented
32C22×#4339C2211yescharacteristic
33C2×C11×#123C2211yescharacteristic
34C2×C11×#120C2211yescharacteristic
35C2×C11×#117C2211yescharacteristic
36C22×C11×C22⋊C4C2211yescharacteristic
37C2×#67006C2211yescharacteristic
38C2×#67006C2211yescharacteristic
39C22×C22⋊Dic11C2211yescharacteristic
40C22×C22⋊Dic11C2211yescharacteristic
41C2×#66992C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66992C2211yescharacteristic
44C2×D4×Dic11C2211yescharacteristic
45C22×C4⋊Dic11C2211yescharacteristic
46C22×C4×Dic11C2211yescharacteristic
47C2×#66951C2211yescharacteristic, complemented
48C2×#66938C2211yescharacteristic
49C2×#66938C2211yescharacteristic, complemented
50C2×#66931C2211yescharacteristic
51C11×#396C2211yescharacteristic
52C11×#396C2211yescharacteristic
53C11×#394C2211yescharacteristic
54C11×#394C2211yescharacteristic
55C11×#390C2211yescharacteristic
56C11×#390C2211yescharacteristic
57C11×#388C2211yescharacteristic
58C11×#388C2211yescharacteristic
59C11×#386C2211yescharacteristic
60C11×#385C2211yescharacteristic
61C11×#379C2211yescharacteristic
62#10622836C2211yescharacteristic
63#10622836C2211yescharacteristic
64#10622836C2211yescharacteristic
65#10622835C2211yescharacteristic
66#10622835C2211yescharacteristic
67#10622835C2211yescharacteristic
68#10622833C2211yescharacteristic
69#10622833C2211yescharacteristic
70#10622826C2211yescharacteristic
71#10622826C2211yescharacteristic
72#10622824C2211yescharacteristic
73C2×C11⋊#95C2211yescharacteristic
74C2×C11⋊#95C2211yescharacteristic
75#10622606C2211yescharacteristic, complemented
76#10622604C2211yescharacteristic, complemented
77#10622603C2211yescharacteristic, complemented
78#10622603C2211yescharacteristic, complemented
79#10622602C2211yescharacteristic, complemented
80#10622602C2211yescharacteristic, complemented
81#10622600C2211yescharacteristic, complemented
82#10622600C2211yescharacteristic, complemented
83#10622600C2211yescharacteristic, complemented
84#10622600C2211yescharacteristic, complemented
85#10622599C2211yescharacteristic, complemented
86#10622598C2211yescharacteristic, complemented
87#10622598C2211yescharacteristic, complemented
88#10622597C2211yescharacteristic, complemented
89#10622597C2211yescharacteristic, complemented
90#10622595C2211yescharacteristic, complemented
91#10622594C2211yescharacteristic, complemented
92#10622594C2211yescharacteristic, complemented
93#10622594C2211yescharacteristic, complemented
94#10622592C2211yescharacteristic, complemented
95#10622592C2211yescharacteristic, complemented
96#10622591C2211yescharacteristic, complemented
97#10622591C2211yescharacteristic, complemented
98#10622574C2211yescharacteristic
99#10622574C2211yescharacteristic
100#10622574C2211yescharacteristic
101#10622574C2211yescharacteristic
102#10622574C2211yescharacteristic
103#10622574C2211yescharacteristic
104#10622574C2211yescharacteristic, complemented
105#10622573C2211yescharacteristic
106#10622573C2211yescharacteristic
107#10622573C2211yescharacteristic, complemented
108#10622572C2211yescharacteristic
109#10622572C2211yescharacteristic
110#10622572C2211yescharacteristic
111#10622571C2211yescharacteristic
112#10622571C2211yescharacteristic
113#10622571C2211yescharacteristic
114#10622571C2211yescharacteristic
115#10622571C2211yescharacteristic
116#10622571C2211yescharacteristic
117#10622571C2211yescharacteristic, complemented
118#10622570C2211yescharacteristic
119#10622570C2211yescharacteristic
120#10622570C2211yescharacteristic, complemented
121#10622569C2211yescharacteristic
122#10622569C2211yescharacteristic
123#10622569C2211yescharacteristic
124#10622569C2211yescharacteristic
125#10622569C2211yescharacteristic, complemented
126#10622569C2211yescharacteristic, complemented
127#10622566C2211yescharacteristic
128#10622566C2211yescharacteristic
129#10622566C2211yescharacteristic
130#10622566C2211yescharacteristic
131#10622566C2211yescharacteristic, complemented
132#10622565C2211yescharacteristic
133#10622565C2211yescharacteristic
134#10622565C2211yescharacteristic
135#10622564C2211yescharacteristic
136#10622564C2211yescharacteristic
137#10622564C2211yescharacteristic
138#10622564C2211yescharacteristic
139#10622564C2211yescharacteristic
140#10622564C2211yescharacteristic
141#10622564C2211yescharacteristic
142#10622564C2211yescharacteristic
143#10622564C2211yescharacteristic
144#10622564C2211yescharacteristic, complemented
145#10622564C2211yescharacteristic, complemented
146#10622564C2211yescharacteristic, complemented
147#10622563C2211yescharacteristic
148#10622563C2211yescharacteristic
149#10622563C2211yescharacteristic, complemented
150#10622563C2211yescharacteristic, complemented
151#10622561C2211yescharacteristic
152#10622560C2211yescharacteristic
153#10622560C2211yescharacteristic
154#10622560C2211yescharacteristic
155#10622560C2211yescharacteristic, complemented
156#10622559C2211yescharacteristic
157#10622558C2211yescharacteristic
158#10622557C2211yescharacteristic
159#10622557C2211yescharacteristic, complemented
160#10622556C2211yescharacteristic, complemented
161#10622555C2211yescharacteristic
162C22⋊C4×Dic11C2211yescharacteristic
163#10622552C2211yescharacteristic, complemented
164#10622552C2211yescharacteristic, complemented
165#10622546C2211yescharacteristic, complemented
166#10622546C2211yescharacteristic, complemented
167#10622542C2211yescharacteristic, complemented
168#10622542C2211yescharacteristic, complemented
169#10622542C2211yescharacteristic, complemented
170#10622541C2211yescharacteristic, complemented
171#10622288C2211yescharacteristic, complemented
172#10622287C2211yescharacteristic, complemented
173#10622283C2211yescharacteristic, complemented
174#10622283C2211yescharacteristic, complemented
175#10622283C2211yescharacteristic, complemented
176#10622282C2211yescharacteristic, complemented
177#10622282C2211yescharacteristic, complemented
178#10622282C2211yescharacteristic, complemented
179C11⋊#401C2211yescharacteristic, complemented
180#10622272C2211yescharacteristic, complemented
181#10622267C2211yescharacteristic, complemented
182#10622266C2211yescharacteristic, complemented
183#10622264C2211yescharacteristic, complemented
184#10622264C2211yescharacteristic, complemented
185#10622263C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
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
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C2×#4339—24no—
207C2×#4339—42no—
208C2×#4339—42no—
209C22×D44C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C22×Dic22C2311yescharacteristic
214C11×#123—24no—
215C11×#120—42no—
216C11×#117—42no—
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4—24no—
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
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
242C2×C42×C11C2311yescharacteristic
243#67006—42no—
244#67006—42no—
245C2×C22⋊Dic11—42no—
246C2×C22⋊Dic11—42no—
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
266#66992—42no—
267#66992—42no—
268#66992—42no—
269D4×Dic11—42no—
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×C4⋊Dic11—42no—
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×C4×Dic11—42no—
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315#66951—42no—
316#66938—42no—
317#66938—42no—
318#66931—42no—
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
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363#36795—111nomaximal, Sylow
364C24×C11—22no—
365C24×C11—22no—
366C24×C11—22no—
367C24×C11—41no—
368C24×C11—41no—
369C24×C11—41no—
370C24×C11—41no—
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C24×C11C2411yescharacteristic
375C23×D11C2411yescharacteristic
376C23×D11C2411yescharacteristic
377C2×D4×C11—22no—
378C2×D4×C11—22no—
379C2×D4×C11—22no—
380C2×D4×C11—41no—
381C2×D4×C11—41no—
382C2×D4×C11—41no—
383C2×D4×C11—41no—
384C2×D4×C11—41no—
385C2×D4×C11—41no—
386C22×C4×C11—22no—
387C22×C4×C11—22no—
388C22×C4×C11—22no—
389C22×C4×C11—41no—
390C22×C4×C11—41no—
391C22×C4×C11#4114yes—
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C2×C22⋊D11—22no—
404C2×C22⋊D11—22no—
405C2×C22⋊D11—22no—
406C2×C22⋊D11—22no—
407C2×C22⋊D11—22no—
408C2×C22⋊D11—22no—
409C2×C22⋊D11—22no—
410C2×C22⋊D11—41no—
411C2×C22⋊D11—41no—
412C2×C22⋊D11—41no—
413C2×C22⋊D11—41no—
414C2×C22⋊D11—41no—
415C2×C22⋊D11—41no—
416C2×C22⋊D11—41no—
417C2×C22⋊D11—41no—
418C2×C22⋊D11—41no—
419C2×C22⋊D11—41no—
420C2×C22⋊D11—41no—
421C2×C22⋊D11—41no—
422C2×C22⋊D11—41no—
423C2×C22⋊D11—41no—
424C2×C22⋊D11—41no—
425C2×C22⋊D11—41no—
426C2×C22⋊D11—41no—
427C22×Dic11—22no—
428C22×Dic11—22no—
429C22×Dic11—22no—
430C22×Dic11—22no—
431C22×Dic11—22no—
432C22×Dic11—41no—
433C22×Dic11—41no—
434C22×Dic11—41no—
435C22×Dic11—41no—
436C22×Dic11—41no—
437C22×Dic11—41no—
438C22×Dic11—41no—
439C22×Dic11—41no—
440C22×Dic11—41no—
441C22×Dic11—41no—
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456#4339—416no—
457C2×D44—22no—
458C2×D44—41no—
459C2×D44—41no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—41no—
463C2×C4×D11—41no—
464C2×C4×D11—41no—
465C2×C4×D11—41no—
466C2×Dic22—22no—
467C2×Dic22—22no—
468C2×Dic22—41no—
469C2×Dic22—41no—
470C2×Dic22—41no—
471C2×Dic22—41no—
472C11×C4⋊C4—22no—
473C11×C4⋊C4—22no—
474C11×C4⋊C4—41no—
475C11×C4⋊C4—41no—
476C11×C4⋊C4—41no—
477C11×C4⋊C4—41no—
478C11×C22⋊C4—22no—
479C11×C22⋊C4—22no—
480C11×C22⋊C4—22no—
481C11×C22⋊C4—22no—
482C11×C22⋊C4—22no—
483C11×C22⋊C4—22no—
484C11×C22⋊C4—22no—
485C11×C22⋊C4—22no—
486C11×C22⋊C4—22no—
487C11×C22⋊C4—41no—
488C11×C22⋊C4—41no—
489C11×C22⋊C4—41no—
490C11×C22⋊C4—41no—
491C11×C22⋊C4—41no—
492C11×C22⋊C4—41no—
493C11×C22⋊C4—41no—
494C11×C22⋊C4—41no—
495C42×C11—41no—
496C42×C11—41no—
497C22⋊Dic11—22no—
498C22⋊Dic11—22no—
499C22⋊Dic11—22no—
500C22⋊Dic11—22no—
501C22⋊Dic11—41no—
502C22⋊Dic11—41no—
503C22⋊Dic11—41no—
504C22⋊Dic11—41no—
505C22⋊Dic11—41no—
506C22⋊Dic11—41no—
507C22⋊Dic11—41no—
508C22⋊Dic11—41no—
509C22⋊Dic11—41no—
510C22⋊Dic11—41no—
511C22⋊Dic11—41no—
512C22⋊Dic11—41no—
513C22⋊Dic11—41no—
514C22⋊Dic11—41no—
515C22⋊Dic11—41no—
516(C2×D11)⋊C4—22no—
517(C2×D11)⋊C4—41no—
518(C2×D11)⋊C4—41no—
519(C2×D11)⋊C4—41no—
520(C2×D11)⋊C4—41no—
521(C2×D11)⋊C4—41no—
522(C2×D11)⋊C4—41no—
523(C2×D11)⋊C4—41no—
524(C2×D11)⋊C4—41no—
525(C2×D11)⋊C4—41no—
526(C2×D11)⋊C4—41no—
527(C2×D11)⋊C4—41no—
528(C2×D11)⋊C4—41no—
529(C2×D11)⋊C4—41no—
530(C2×D11)⋊C4—41no—
531(C2×D11)⋊C4—41no—
532(C2×D11)⋊C4—41no—
533(C2×D11)⋊C4—41no—
534C4⋊Dic11—41no—
535C4⋊Dic11—41no—
536C4⋊Dic11—41no—
537C4⋊Dic11—41no—
538C4⋊Dic11—41no—
539C4⋊Dic11—41no—
540C4⋊Dic11—41no—
541C4⋊Dic11—41no—
542C4⋊Dic11—41no—
543C4⋊Dic11—41no—
544Dic11⋊C4—22no—
545Dic11⋊C4—41no—
546Dic11⋊C4—41no—
547Dic11⋊C4—41no—
548Dic11⋊C4—41no—
549Dic11⋊C4—41no—
550Dic11⋊C4—41no—
551Dic11⋊C4—41no—
552C4×Dic11—22no—
553C4×Dic11—22no—
554C4×Dic11—41no—
555C4×Dic11—41no—
556C4×Dic11—41no—
557C4×Dic11—41no—
558C4×Dic11—41no—
559#2852—111no—
560#2850—111no—
561#2808—111no—
562#2803—111no—
563#2803—111no—
564#2786—111no—
565#2781—111no—
566#2779—111no—
567#2778—111no—
568#2775—111no—
569#2759—111no—
570#2756—111no—
571#2756—111no—
572#2751—111no—
573#2733—111no—
574#2715—111no—
575#2714—111no—
576#2686—111no—
577#2622—111no—
578#2617—111no—
579#2510—111no—
580#2472—111no—
581#2444—111no—
582#2438—111no—
583#2430—111no—
584#2424—111no—
585#2411D1111yescharacteristic, complemented
586#2404—111no—
587#2322—111no—
588#2311—111no—
589C2×#388—111no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—44no—
616C23×C11—44no—
617C23×C11—44no—
618C23×C11—82no—
619C23×C11—82no—
620C23×C11—82no—
621C23×C11—82no—
622C23×C11C2×#4112yes—
623C23×C11H(5,𝔽2)12yes—
624C23×C11H(5,𝔽2)12yes—
625C23×C11C2511yescharacteristic
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640D4×C11—44no—
641D4×C11—82no—
642D4×C11—82no—
643C2×C4×C11—28no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—44no—
676C2×C4×C11C2×#4112yes—
677C2×C4×C11C2×#4112yes—
678C22⋊D11—44no—
679C22⋊D11—44no—
680C22⋊D11—82no—
681C22⋊D11—82no—
682C22⋊D11—82no—
683C22⋊D11—82no—
684C22⋊D11—82no—
685C22⋊D11—82no—
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—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—44no—
728C2×Dic11—44no—
729C2×Dic11—82no—
730C2×Dic11—82no—
731C2×Dic11—82no—
732C2×Dic11H(5,𝔽2)12yes—
733D44—44no—
734C4×D11—44no—
735C4×D11—44no—
736Dic22—44no—
737Dic22—82no—
738C22×#41—111no—
739C2×#126—111no—
740C2×#124—111no—
741C2×#124—111no—
742C2×#123C2×D1111yescharacteristic
743C2×C22⋊Q8—111no—
744C2×#121—111no—
745C2×#121—111no—
746C2×#121—111no—
747C2×#120—111no—
748C2×#120—111no—
749C2×#120C2×D1111yescharacteristic
750C2×C4×D4—111no—
751C2×#117C2×D1111yescharacteristic
752C22×C4⋊C4—111no—
753C22×C22⋊C4—111no—
754C22×C22⋊C4—111no—
755C22×C22⋊C4C2×D1111yescharacteristic
756C22×C42—111no—
757#401—111no—
758#400—111no—
759#400—111no—
760#400—111no—
761#398—111no—
762#398—111no—
763#397—111no—
764#397—111no—
765#397—111no—
766#397—111no—
767#397—111no—
768#397—111no—
769#397—111no—
770#397—111no—
771#397—111no—
772#397—111no—
773#397—111no—
774#396—111no—
775#396C2×D1111yescharacteristic
776#396C2×D1111yescharacteristic
777#395—111no—
778#395—111no—
779#394—111no—
780#394—111no—
781#394—111no—
782#394—111no—
783#394—111no—
784#394—111no—
785#394—111no—
786#394—111no—
787#394—111no—
788#394—111no—
789#394—111no—
790#394—111no—
791#394—111no—
792#394—111no—
793#394C2×D1111yescharacteristic
794#394C2×D1111yescharacteristic
795#393—111no—
796#393—111no—
797#393—111no—
798#393—111no—
799#392—111no—
800#392—111no—
801#392—111no—
802#392—111no—
803#392—111no—
804#392—111no—
805#391—111no—
806#391—111no—
807#391—111no—
808#391—111no—
809#390—111no—
810#390—111no—
811#390—111no—
812#390—111no—
813#390—111no—
814#390C2×D1111yescharacteristic
815#390C2×D1111yescharacteristic
816#389—111no—
817#389—111no—
818#389—111no—
819#388—111no—
820#388—111no—
821#388—111no—
822#388—111no—
823#388—111no—
824#388—111no—
825#388—111no—
826#388—111no—
827#388—111no—
828#388—111no—
829#388—111no—
830#388—111no—
831#388—111no—
832#388—111no—
833#388—111no—
834#388—111no—
835#388—111no—
836#388—111no—
837#388—111no—
838#388—111no—
839#388—111no—
840#388—111no—
841#388—111no—
842#388C2×D1111yescharacteristic
843#388C2×D1111yescharacteristic
844#387—111no—
845#387—111no—
846#387—111no—
847#387—111no—
848#387—111no—
849#387—111no—
850#387—111no—
851#387—111no—
852#387—111no—
853#386—111no—
854#386—111no—
855#386—111no—
856#386—111no—
857#386—111no—
858#386—111no—
859#386—111no—
860#386—111no—
861#386—111no—
862#386—111no—
863#386—111no—
864#386—111no—
865#386—111no—
866#386—111no—
867#386—111no—
868#386—111no—
869#386—111no—
870#386C2×D1111yescharacteristic
871#385—111no—
872#385—111no—
873#385—111no—
874#385—111no—
875#385—111no—
876#385—111no—
877#385—111no—
878#385C2×D1111yescharacteristic
879#383—111no—
880#383—111no—
881#382—111no—
882#381—111no—
883#381—111no—
884#380—111no—
885#380—111no—
886#380—111no—
887#380—111no—
888#380—111no—
889#379C2×D1111yescharacteristic
890C4×C22⋊C4—111no—
891C2×#95—111no—
892C2×#95—111no—
893C22×C11—22no—
894C22×C11—22no—
895C22×C11—22no—
896C22×C11—22no—
897C22×C11—22no—
898C22×C11—22no—
899C22×C11—41no—
900C22×C11—41no—
901C22×C11—41no—
902C22×C11—41no—
903C22×C11—41no—
904C22×C11—41no—
905C22×C11—41no—
906C22×C11—41no—
907C22×C11—41no—
908C22×C11—41no—
909C22×C11—41no—
910C22×C11—41no—
911C22×C11—41no—
912C22×C11—41no—
913C22×C11—41no—
914C22×C11—41no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11—41no—
918C22×C11—41no—
919C22×C11—41no—
920C22×C11—88no—
921C22×C11#53814yes—
922C22×C11C22×#4111yescharacteristic
923C22×C11C2×H(5,𝔽2)11yescharacteristic
924C22×C11C2×H(5,𝔽2)11yescharacteristic
925C22×C11C2×H(5,𝔽2)11yescharacteristic
926C22×C11#58511yescharacteristic
927C22×C11#58511yescharacteristic
928C22×C11#58511yescharacteristic
929C2×D11—41no—
930C2×D11—41no—
931C2×D11—41no—
932C2×D11—41no—
933C2×D11—41no—
934C2×D11—41no—
935C2×D11—41no—
936C2×D11—41no—
937C2×D11—41no—
938C2×D11—41no—
939C2×D11—41no—
940C2×D11—41no—
941C2×D11—41no—
942C2×D11—41no—
943C4×C11—22no—
944C4×C11—22no—
945C4×C11—41no—
946C4×C11—41no—
947C4×C11—41no—
948C4×C11—41no—
949C4×C11—41no—
950C4×C11—41no—
951C4×C11—41no—
952C4×C11—41no—
953C4×C11—41no—
954Dic11—22no—
955Dic11—41no—
956Dic11—41no—
957Dic11—41no—
958Dic11—41no—
959Dic11—41no—
960Dic11—41no—
961Dic11—41no—
962Dic11—41no—
963Dic11—41no—
964Dic11—41no—
965Dic11—41no—
966Dic11—41no—
967Dic11—41no—
968C25C22×D1111yescharacteristic
969C2×#41—224no—
970C2×#41—442no—
971C2×#41—442no—
972C22×Q8—111no—
973C22×Q8—111no—
974C22×D4—111no—
975C22×D4—111no—
976C22×D4—111no—
977C22×D4—111no—
978C22×D4—111no—
979C22×D4—111no—
980C22×D4—111no—
981C22×D4—111no—
982C22×D4—111no—
983C22×D4C22×D1111yescharacteristic
984C22×D4C22×D1111yescharacteristic
985C22×D4C22×D1111yescharacteristic
986C23×C4—111no—
987C23×C4—111no—
988C23×C4—111no—
989C23×C4—111no—
990C23×C4—111no—
991C23×C4—111no—
992C23×C4—111no—
993C23×C4C22×D1111yescharacteristic
994C23×C4C22×D1111yescharacteristic
995#126—442no—
996#124—442no—
997#124—442no—
998#123—24no—
999C22⋊Q8—442no—
1000#121—442no—
1001#121—442no—
1002#121—442no—
1003#120—42no—
1004#120—442no—
1005#120—442no—
1006C4×D4—442no—
1007#117—42no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C4⋊C4—111no—
1025C2×C4⋊C4—111no—
1026C2×C4⋊C4—442no—
1027C2×C4⋊C4C22×D1111yescharacteristic
1028C2×C4⋊C4C22×D1111yescharacteristic
1029C2×C4⋊C4C22×D1111yescharacteristic
1030C2×C4⋊C4C22×D1111yescharacteristic
1031C2×C4⋊C4C22×D1111yescharacteristic
1032C2×C4⋊C4C22×D1111yescharacteristic
1033C2×C22⋊C4—24no—
1034C2×C22⋊C4—111no—
1035C2×C22⋊C4—111no—
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—442no—
1072C2×C22⋊C4—442no—
1073C2×C22⋊C4C22×D1111yescharacteristic
1074C2×C22⋊C4C22×D1111yescharacteristic
1075C2×C22⋊C4C22×D1111yescharacteristic
1076C2×C22⋊C4C22×D1111yescharacteristic
1077C2×C22⋊C4C22×D1111yescharacteristic
1078C2×C22⋊C4C22×D1111yescharacteristic
1079C2×C22⋊C4C22×D1111yescharacteristic
1080C2×C22⋊C4C22×D1111yescharacteristic
1081C2×C22⋊C4C22×D1111yescharacteristic
1082C2×C22⋊C4C22×D1111yescharacteristic
1083C2×C22⋊C4C22×D1111yescharacteristic
1084C2×C22⋊C4C22×D1111yescharacteristic
1085C2×C22⋊C4C22×D1111yescharacteristic
1086C2×C22⋊C4C22×D1111yescharacteristic
1087C2×C22⋊C4C22×D1111yescharacteristic
1088C2×C22⋊C4C22×D1111yescharacteristic
1089C2×C22⋊C4C22×D1111yescharacteristic
1090C2×C42—111no—
1091C2×C42—111no—
1092C2×C42—111no—
1093C2×C42—111no—
1094C2×C42—111no—
1095C2×C42—111no—
1096C2×C42—111no—
1097C2×C42—442no—
1098C2×C42C22×D1111yescharacteristic
1099C2×C42C22×D1111yescharacteristic
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95—111no—
1140#95C22×D1111yescharacteristic
1141#95C22×D1111yescharacteristic
1142#95C22×D1111yescharacteristic
1143#95C22×D1111yescharacteristic
1144C2×C11—24no—
1145C2×C11—81no—
1146C2×C11—81no—
1147C2×C11—81no—
1148C2×C11C2×#53811yescharacteristic
1149C2×C11#349311yescharacteristic
1150C2×C11#350611yescharacteristic
1151C2×C11#353411yescharacteristic
1152C2×C11#354211yescharacteristic
1153C2×C11#354511yescharacteristic
1154C2×C11#356011yescharacteristic
1155D11—81no—
1156D11—81no—
1157C24—22no—
1158C24—22no—
1159C24—22no—
1160C24—41no—
1161C24—41no—
1162C24—41no—
1163C24—41no—
1164C24—111no—
1165C24—111no—
1166C24C23×D1111yescharacteristic
1167C24C23×D1111yescharacteristic
1168C24C23×D1111yescharacteristic
1169C24C23×D1111yescharacteristic
1170#41—4416no—
1171C2×Q8—222no—
1172C2×Q8—222no—
1173C2×Q8—441no—
1174C2×Q8—441no—
1175C2×Q8—441no—
1176C2×Q8—441no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—222no—
1187C2×D4—222no—
1188C2×D4—222no—
1189C2×D4—222no—
1190C2×D4—222no—
1191C2×D4—222no—
1192C2×D4—222no—
1193C2×D4—222no—
1194C2×D4—441no—
1195C2×D4—441no—
1196C2×D4—441no—
1197C2×D4—441no—
1198C2×D4—441no—
1199C2×D4—441no—
1200C2×D4—441no—
1201C2×D4—441no—
1202C2×D4—441no—
1203C2×D4—441no—
1204C2×D4—441no—
1205C2×D4—441no—
1206C2×D4—441no—
1207C2×D4—441no—
1208C2×D4—441no—
1209C2×D4—441no—
1210C2×D4—441no—
1211C2×D4—441no—
1212C2×D4—441no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—111no—
1219C22×C4—111no—
1220C22×C4—111no—
1221C22×C4—111no—
1222C22×C4—111no—
1223C22×C4—111no—
1224C22×C4—111no—
1225C22×C4—111no—
1226C22×C4—111no—
1227C22×C4—111no—
1228C22×C4—111no—
1229C22×C4—111no—
1230C22×C4—111no—
1231C22×C4—111no—
1232C22×C4—222no—
1233C22×C4—222no—
1234C22×C4—222no—
1235C22×C4—222no—
1236C22×C4—222no—
1237C22×C4—222no—
1238C22×C4—222no—
1239C22×C4—441no—
1240C22×C4—441no—
1241C22×C4—441no—
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#434114yes—
1254C22×C4C23×D1111yescharacteristic
1255C22×C4C23×D1111yescharacteristic
1256C22×C4C23×D1111yescharacteristic
1257C22×C4C23×D1111yescharacteristic
1258C22×C4C23×D1111yescharacteristic
1259C22×C4C23×D1111yescharacteristic
1260C22×C4C23×D1111yescharacteristic
1261C22×C4C23×D1111yescharacteristic
1262C22×C4C23×D1111yescharacteristic
1263C22×C4C23×D1111yescharacteristic
1264C22×C4C23×D1111yescharacteristic
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—222no—
1272C4⋊C4—441no—
1273C4⋊C4—441no—
1274C4⋊C4—441no—
1275C4⋊C4—441no—
1276C4⋊C4—441no—
1277C4⋊C4—441no—
1278C4⋊C4—441no—
1279C4⋊C4—441no—
1280C4⋊C4—441no—
1281C4⋊C4—441no—
1282C4⋊C4—441no—
1283C4⋊C4—441no—
1284C4⋊C4—441no—
1285C4⋊C4—441no—
1286C4⋊C4—441no—
1287C4⋊C4—441no—
1288C4⋊C4—441no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—222no—
1307C22⋊C4—222no—
1308C22⋊C4—222no—
1309C22⋊C4—222no—
1310C22⋊C4—222no—
1311C22⋊C4—441no—
1312C22⋊C4—441no—
1313C22⋊C4—441no—
1314C22⋊C4—441no—
1315C22⋊C4—441no—
1316C22⋊C4—441no—
1317C22⋊C4—441no—
1318C22⋊C4—441no—
1319C22⋊C4—441no—
1320C22⋊C4—441no—
1321C22⋊C4—441no—
1322C22⋊C4—441no—
1323C22⋊C4—441no—
1324C22⋊C4—441no—
1325C22⋊C4—441no—
1326C22⋊C4—441no—
1327C22⋊C4—441no—
1328C22⋊C4—441no—
1329C22⋊C4—441no—
1330C22⋊C4—441no—
1331C22⋊C4—441no—
1332C22⋊C4—441no—
1333C22⋊C4—441no—
1334C22⋊C4—441no—
1335C22⋊C4—441no—
1336C22⋊C4—441no—
1337C22⋊C4—441no—
1338C22⋊C4—441no—
1339C22⋊C4—441no—
1340C22⋊C4—441no—
1341C22⋊C4—441no—
1342C22⋊C4—441no—
1343C42—41no—
1344C42—41no—
1345C42—222no—
1346C42—222no—
1347C42—441no—
1348C42—441no—
1349C42—441no—
1350C42—441no—
1351C42—441no—
1352C11#3679511yescharacteristic, complemented, Sylow
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—44no—
1379C23—44no—
1380C23—44no—
1381C23—82no—
1382C23—82no—
1383C23—82no—
1384C23—82no—
1385C23—221no—
1386C23—221no—
1387C23—221no—
1388C23—221no—
1389C23—221no—
1390C23—221no—
1391C23—221no—
1392C23—221no—
1393C23—221no—
1394C23—221no—
1395C23—221no—
1396C23—221no—
1397C23—221no—
1398C23—221no—
1399C23C2×#434112yes—
1400C23#6703712yes—
1401C23#6704212yes—
1402C23C24×D1111yescharacteristic
1403Q8—444no—
1404Q8—882no—
1405D4—44no—
1406D4—82no—
1407D4—82no—
1408D4—444no—
1409D4—444no—
1410D4—444no—
1411D4—882no—
1412D4—882no—
1413D4—882no—
1414D4—882no—
1415D4—882no—
1416D4—882no—
1417C2×C4—28no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—44no—
1450C2×C4—112no—
1451C2×C4—221no—
1452C2×C4—221no—
1453C2×C4—221no—
1454C2×C4—221no—
1455C2×C4—221no—
1456C2×C4—221no—
1457C2×C4—221no—
1458C2×C4—221no—
1459C2×C4—221no—
1460C2×C4—221no—
1461C2×C4—221no—
1462C2×C4—221no—
1463C2×C4—221no—
1464C2×C4—221no—
1465C2×C4—221no—
1466C2×C4—221no—
1467C2×C4—221no—
1468C2×C4—221no—
1469C2×C4—221no—
1470C2×C4—221no—
1471C2×C4—221no—
1472C2×C4—221no—
1473C2×C4—221no—
1474C2×C4—221no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—221no—
1489C2×C4—221no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—444no—
1493C2×C4—444no—
1494C2×C4—444no—
1495C2×C4—444no—
1496C2×C4—882no—
1497C2×C4—882no—
1498C2×C4—882no—
1499C2×C4C2×#434112yes—
1500C2×C4C2×#434112yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—88no—
1529C22—441no—
1530C22—441no—
1531C22—441no—
1532C22—441no—
1533C22—441no—
1534C22—441no—
1535C22—441no—
1536C22—441no—
1537C22—441no—
1538C22—441no—
1539C22—441no—
1540C22—441no—
1541C22—441no—
1542C22—441no—
1543C22#1062314814yes—
1544C22C22×#434111yescharacteristic
1545C22C2×#6703711yescharacteristic
1546C22C2×#6704211yescharacteristic
1547C22#1062345311yescharacteristic
1548C22#1062345311yescharacteristic
1549C22D11×H(5,𝔽2)11yescharacteristic
1550C22#1062345511yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—222no—
1563C4—441no—
1564C4—441no—
1565C4—441no—
1566C4—441no—
1567C4—441no—
1568C4—441no—
1569C4—441no—
1570C4—441no—
1571C4—441no—
1572C4—441no—
1573C4—441no—
1574C4—441no—
1575C4—441no—
1576C2—24no—
1577C2—81no—
1578C2—81no—
1579C2—81no—
1580C2—881no—
1581C2—881no—
1582C2C2×#1062314811yescharacteristic
1583C2#1308233311yescharacteristic
1584C2#1308246711yescharacteristic
1585C2#1308280111yescharacteristic
1586C2#1308292511yescharacteristic
1587C2#1308297211yescharacteristic
1588C2#1308316011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2411C2
hypercenter#2411D11
hypocenterC11#36795
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2411

Complements

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

NH ≅ G/Ntype
1. #13076933C2semidirect
2. #13076913C2semidirect
3. #13076596C2semidirect
4. #13076552C2semidirect
5. #13076549C2semidirect
6. #13076334C2semidirect
7. #13076278C2semidirect
8. #13076251C2semidirect
9. #13076236C2semidirect
10. #13076187C2semidirect
11. #13075986C2semidirect
12. #13075937C2semidirect
13. #13075937C2semidirect
14. #13075863C2semidirect
15. #13075641C2semidirect
16. #13075434C2semidirect
17. #13075407C2semidirect
18. #13075024C2semidirect
19. #13074392C2semidirect
20. #13074354C2semidirect
21. #13073182C2semidirect
22. #13072739C2semidirect
23. #13072364C2semidirect
24. #13072286C2semidirect
25. #13072228C2semidirect
26. #13072156C2semidirect
27. #13071935C2semidirect
28. #13071288C2semidirect
29. #13071204C2semidirect
30. C2×#10622564C2semidirect
31. C11×#2411C2semidirect
47. C2×#66951C22semidirect
49. C2×#66938C22semidirect
75. #10622606C22semidirect
76. #10622604C22semidirect
77. #10622603C22semidirect
78. #10622603C22semidirect
79. #10622602C22semidirect
80. #10622602C22semidirect
81. #10622600C22semidirect
82. #10622600C22semidirect
83. #10622600C22semidirect
84. #10622600C22semidirect
85. #10622599C22semidirect
86. #10622598C22semidirect
87. #10622598C22semidirect
88. #10622597C22semidirect
89. #10622597C22semidirect
90. #10622595C22semidirect
91. #10622594C22semidirect
92. #10622594C22semidirect
93. #10622594C22semidirect
94. #10622592C22semidirect
95. #10622592C22semidirect
96. #10622591C22semidirect
97. #10622591C22semidirect
104. #10622574C22semidirect
107. #10622573C22semidirect
117. #10622571C22semidirect
120. #10622570C22semidirect
125. #10622569C22semidirect
126. #10622569C22semidirect
131. #10622566C22semidirect
144. #10622564C22semidirect
145. #10622564C22semidirect
146. #10622564C22semidirect
149. #10622563C22semidirect
150. #10622563C22semidirect
155. #10622560C22semidirect
159. #10622557C22semidirect
160. #10622556C22semidirect
163. #10622552C22semidirect
164. #10622552C22semidirect
165. #10622546C22semidirect
166. #10622546C22semidirect
167. #10622542C22semidirect
168. #10622542C22semidirect
169. #10622542C22semidirect
170. #10622541C22semidirect
171. #10622288C22semidirect
172. #10622287C22semidirect
173. #10622283C22semidirect
174. #10622283C22semidirect
175. #10622283C22semidirect
176. #10622282C22semidirect
177. #10622282C22semidirect
178. #10622282C22semidirect
179. C11⋊#401C22semidirect
180. #10622272C22semidirect
181. #10622267C22semidirect
182. #10622266C22semidirect
183. #10622264C22semidirect
184. #10622264C22semidirect
185. #10622263C22semidirect
186. #10622259C22semidirect
585. #2411D11semidirect
1352. C11#36795semidirect

Maximal subgroups

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

subgroupindex
#130769332
#130769132
#130765962
#130765522
#130765492
#130763342
#130762782
#130762512
#130762362
#130761872
#130759862
#130759372
#130758632
#130756412
#130754342
#130754072
#130750242
#130743922
#130743542
#130731822
#130727392
#130723642
#130722862
#130722282
#130721562
#130719352
#130712882
#130712042
C2×#106225642
C11×#24112
#3679511