Finite Group Databasebeta

← #14962345

Subgroups — #14962345

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#13076940C211yesmaximal, characteristic, complemented
2#13076914C211yesmaximal, characteristic, complemented
3#13076300C211yesmaximal, characteristic, complemented
4#13076246C211yesmaximal, characteristic, complemented
5#13076138C211yesmaximal, characteristic, complemented
6#13075949C211yesmaximal, characteristic, complemented
7#13075900C211yesmaximal, characteristic, complemented
8#13075770C211yesmaximal, characteristic, complemented
9#13075652C211yesmaximal, characteristic, complemented
10#13075629C211yesmaximal, characteristic, complemented
11#13075234C211yesmaximal, characteristic, complemented
12#13075127C211yesmaximal, characteristic, complemented
13#13075038C211yesmaximal, characteristic, complemented
14#13074999C211yesmaximal, characteristic, complemented
15#13074991C211yesmaximal, characteristic, complemented
16#13074938C211yesmaximal, characteristic
17#13074890C211yesmaximal, characteristic, complemented
18#13074644C211yesmaximal, characteristic, complemented
19#13074637C211yesmaximal, characteristic, complemented
20#13074231C211yesmaximal, characteristic, complemented
21#13074135C211yesmaximal, characteristic, complemented
22#13073716C211yesmaximal, characteristic, complemented
23#13073511C211yesmaximal, characteristic, complemented
24#13073474C211yesmaximal, characteristic, complemented
25#13073464C211yesmaximal, characteristic, complemented
26#13072300C211yesmaximal, characteristic, complemented
27#13072004C211yesmaximal, characteristic, complemented
28#13071403C211yesmaximal, characteristic, complemented
29#13071213C211yesmaximal, characteristic, complemented
30#13071058C211yesmaximal, characteristic, complemented
31C11×#2737C211yesmaximal, characteristic, complemented
32C2×#67000C2211yescharacteristic
33C2×#66997C2211yescharacteristic, complemented
34C2×#66990C2211yescharacteristic
35C2×#66988C2211yescharacteristic
36C2×#66982C2211yescharacteristic
37C22×(C2×D11)⋊C4C2211yescharacteristic
38C2×#66949C2211yescharacteristic, complemented
39C2×#66947C2211yescharacteristic
40C2×#66939C2211yescharacteristic, complemented
41C2×#66938C2211yescharacteristic
42C2×#66937C2211yescharacteristic
43C2×#66935C2211yescharacteristic
44C2×(C22⋊D11)⋊C4C2211yescharacteristic
45C2×#66930C2211yescharacteristic
46C2×C42×D11C2211yescharacteristic, complemented
47C11×#397C2211yescharacteristic, complemented
48C11×#397C2211yescharacteristic, complemented
49C11×#395C2211yescharacteristic, complemented
50C11×#394C2211yescharacteristic
51C11×#393C2211yescharacteristic
52C11×#393C2211yescharacteristic, complemented
53C11×#390C2211yescharacteristic
54C11×#388C2211yescharacteristic
55C11×#388C2211yescharacteristic, complemented
56C11×#387C2211yescharacteristic, complemented
57C11×#387C2211yescharacteristic, complemented
58C11×#386C2211yescharacteristic
59C11×#383C2211yescharacteristic, complemented
60C11×#381C2211yescharacteristic
61C11×#380C2211yescharacteristic
62#10622844C2211yescharacteristic
63#10622843C2211yescharacteristic, complemented
64#10622836C2211yescharacteristic
65#10622833C2211yescharacteristic
66#10622825C2211yescharacteristic
67#10622823C2211yescharacteristic
68#10622607C2211yescharacteristic
69#10622606C2211yescharacteristic
70#10622606C2211yescharacteristic
71#10622605C2211yescharacteristic
72#10622603C2211yescharacteristic
73#10622603C2211yescharacteristic
74#10622603C2211yescharacteristic
75#10622603C2211yescharacteristic
76#10622603C2211yescharacteristic
77#10622603C2211yescharacteristic, complemented
78#10622602C2211yescharacteristic, complemented
79#10622602C2211yescharacteristic, complemented
80#10622596C2211yescharacteristic, complemented
81#10622595C2211yescharacteristic, complemented
82#10622591C2211yescharacteristic, complemented
83C4⋊C4×Dic11C2211yescharacteristic, complemented
84#10622586C2211yescharacteristic, complemented
85#10622585C2211yescharacteristic, complemented
86#10622574C2211yescharacteristic
87#10622574C2211yescharacteristic
88#10622574C2211yescharacteristic
89#10622573C2211yescharacteristic
90#10622572C2211yescharacteristic
91#10622572C2211yescharacteristic
92#10622572C2211yescharacteristic
93#10622571C2211yescharacteristic
94#10622571C2211yescharacteristic
95#10622570C2211yescharacteristic
96#10622570C2211yescharacteristic
97#10622570C2211yescharacteristic, complemented
98#10622569C2211yescharacteristic
99#10622569C2211yescharacteristic
100#10622569C2211yescharacteristic, complemented
101#10622569C2211yescharacteristic, complemented
102#10622568C2211yescharacteristic
103#10622568C2211yescharacteristic
104#10622568C2211yescharacteristic
105#10622568C2211yescharacteristic
106#10622565C2211yescharacteristic
107#10622564C2211yescharacteristic
108#10622564C2211yescharacteristic, complemented
109#10622561C2211yescharacteristic
110#10622561C2211yescharacteristic
111#10622561C2211yescharacteristic, complemented
112#10622560C2211yescharacteristic
113#10622559C2211yescharacteristic, complemented
114#10622558C2211yescharacteristic, complemented
115#10622557C2211yescharacteristic
116#10622557C2211yescharacteristic
117#10622557C2211yescharacteristic, complemented
118#10622557C2211yescharacteristic, complemented
119#10622555C2211yescharacteristic
120#10622555C2211yescharacteristic, complemented
121C22⋊C4×Dic11C2211yescharacteristic
122C22⋊C4×Dic11C2211yescharacteristic
123C22⋊C4×Dic11C2211yescharacteristic, complemented
124#10622553C2211yescharacteristic
125#10622553C2211yescharacteristic
126#10622553C2211yescharacteristic
127#10622552C2211yescharacteristic
128#10622546C2211yescharacteristic, complemented
129#10622546C2211yescharacteristic, complemented
130C4×Dic11⋊C4C2211yescharacteristic, complemented
131#10622289C2211yescharacteristic
132#10622289C2211yescharacteristic
133#10622289C2211yescharacteristic
134#10622289C2211yescharacteristic
135#10622288C2211yescharacteristic
136#10622288C2211yescharacteristic
137#10622288C2211yescharacteristic, complemented
138#10622288C2211yescharacteristic, complemented
139#10622287C2211yescharacteristic
140#10622287C2211yescharacteristic
141#10622287C2211yescharacteristic
142#10622286C2211yescharacteristic
143#10622285C2211yescharacteristic
144#10622285C2211yescharacteristic
145#10622285C2211yescharacteristic
146#10622283C2211yescharacteristic
147#10622283C2211yescharacteristic
148#10622283C2211yescharacteristic
149#10622283C2211yescharacteristic
150#10622283C2211yescharacteristic
151#10622282C2211yescharacteristic
152#10622282C2211yescharacteristic
153#10622282C2211yescharacteristic
154#10622282C2211yescharacteristic
155#10622282C2211yescharacteristic
156#10622282C2211yescharacteristic
157#10622282C2211yescharacteristic, complemented
158#10622281C2211yescharacteristic, complemented
159#10622281C2211yescharacteristic, complemented
160#10622279C2211yescharacteristic, complemented
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622277C2211yescharacteristic, complemented
166#10622274C2211yescharacteristic, complemented
167#10622273C2211yescharacteristic, complemented
168#10622272C2211yescharacteristic, complemented
169#10622272C2211yescharacteristic, complemented
170#10622272C2211yescharacteristic, complemented
171#10622270C2211yescharacteristic, complemented
172#10622270C2211yescharacteristic, complemented
173#10622268C2211yescharacteristic, complemented
174#10622267C2211yescharacteristic, complemented
175#10622266C2211yescharacteristic, complemented
176#10622265C2211yescharacteristic, complemented
177#10622265C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622263C2211yescharacteristic, complemented
181#10622263C2211yescharacteristic, complemented
182#10622261C2211yescharacteristic, complemented
183#10622260C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C22×D44C2311yescharacteristic
198C22×D44C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×Dic22C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊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×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C22⋊Dic11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230#67000—42no—
231#66997—42no—
232#66990—42no—
233#66988—24no—
234#66982—42no—
235C2×(C2×D11)⋊C4—24no—
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
273C2×C4⋊Dic11C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
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×Dic11C2311yescharacteristic
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
302#66949—42no—
303#66947—42no—
304#66939—42no—
305#66938—42no—
306#66937—42no—
307#66935—42no—
308(C22⋊D11)⋊C4—24no—
309#66930—42no—
310C42×D11—42no—
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
360C23×D11—22no—
361C23×D11—41no—
362C23×D11—41no—
363C23×D11—41no—
364C23×D11—41no—
365C23×D11—41no—
366C23×D11—41no—
367C23×D11C2411yescharacteristic
368C23×D11C2411yescharacteristic
369C23×D11C2411yescharacteristic
370C2×Q8×C11—41no—
371C2×Q8×C11—41no—
372C2×Q8×C11—41no—
373C2×D4×C11—22no—
374C2×D4×C11—41no—
375C2×D4×C11—41no—
376C22×C4×C11—22no—
377C22×C4×C11—41no—
378C22×C4×C11—41no—
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C2×C22⋊D11—22no—
393C2×C22⋊D11—22no—
394C2×C22⋊D11—22no—
395C2×C22⋊D11—22no—
396C2×C22⋊D11—41no—
397C2×C22⋊D11—41no—
398C2×C22⋊D11—41no—
399C2×C22⋊D11—41no—
400C2×C22⋊D11—41no—
401C2×C22⋊D11—41no—
402C2×C22⋊D11—41no—
403C2×C22⋊D11—41no—
404C22×Dic11—41no—
405C22×Dic11—41no—
406C22×Dic11—41no—
407C22×Dic11—41no—
408C22×Dic11—41no—
409C22×Dic11#4114yes—
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C2×D44—22no—
424C2×D44—22no—
425C2×D44—41no—
426C2×D44—41no—
427C2×D44—41no—
428C2×D44—41no—
429C2×C4×D11—22no—
430C2×C4×D11—22no—
431C2×C4×D11—22no—
432C2×C4×D11—41no—
433C2×C4×D11—41no—
434C2×C4×D11—41no—
435C2×C4×D11—41no—
436C2×C4×D11—41no—
437C2×C4×D11—41no—
438C2×Dic22—22no—
439C2×Dic22—41no—
440C2×Dic22—41no—
441C11×C4⋊C4—41no—
442C11×C4⋊C4—41no—
443C11×C4⋊C4—41no—
444C11×C4⋊C4—41no—
445C11×C4⋊C4—41no—
446C11×C22⋊C4—22no—
447C11×C22⋊C4—41no—
448C11×C22⋊C4—41no—
449C11×C22⋊C4—41no—
450C11×C22⋊C4—41no—
451C11×C22⋊C4—41no—
452C11×C22⋊C4—41no—
453C11×C22⋊C4—41no—
454C11×C22⋊C4—41no—
455C11×C22⋊C4—41no—
456C11×C22⋊C4—41no—
457C42×C11—41no—
458C42×C11—41no—
459C22⋊Dic11—22no—
460C22⋊Dic11—22no—
461C22⋊Dic11—22no—
462C22⋊Dic11—22no—
463C22⋊Dic11—41no—
464C22⋊Dic11—41no—
465C22⋊Dic11—41no—
466C22⋊Dic11—41no—
467C22⋊Dic11—41no—
468(C2×D11)⋊C4—22no—
469(C2×D11)⋊C4—22no—
470(C2×D11)⋊C4—22no—
471(C2×D11)⋊C4—22no—
472(C2×D11)⋊C4—22no—
473(C2×D11)⋊C4—22no—
474(C2×D11)⋊C4—22no—
475(C2×D11)⋊C4—22no—
476(C2×D11)⋊C4—22no—
477(C2×D11)⋊C4—22no—
478(C2×D11)⋊C4—41no—
479(C2×D11)⋊C4—41no—
480(C2×D11)⋊C4—41no—
481(C2×D11)⋊C4—41no—
482(C2×D11)⋊C4—41no—
483(C2×D11)⋊C4—41no—
484(C2×D11)⋊C4—41no—
485(C2×D11)⋊C4—41no—
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—
500C4⋊Dic11—41no—
501C4⋊Dic11—41no—
502C4⋊Dic11—41no—
503C4⋊Dic11—41no—
504C4⋊Dic11—41no—
505C4⋊Dic11—41no—
506Dic11⋊C4—22no—
507Dic11⋊C4—22no—
508Dic11⋊C4—22no—
509Dic11⋊C4—22no—
510Dic11⋊C4—22no—
511Dic11⋊C4—41no—
512Dic11⋊C4—41no—
513Dic11⋊C4—41no—
514Dic11⋊C4—41no—
515Dic11⋊C4—41no—
516Dic11⋊C4—41no—
517Dic11⋊C4—41no—
518Dic11⋊C4—41no—
519Dic11⋊C4—41no—
520Dic11⋊C4—41no—
521Dic11⋊C4—41no—
522Dic11⋊C4—41no—
523Dic11⋊C4—41no—
524C4×Dic11—22no—
525C4×Dic11—22no—
526C4×Dic11—22no—
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#2737D1111yescharacteristic, complemented
543#2735—111no—
544#2731—111no—
545#2701—111no—
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×C11C2×#4112yes—
579C23×C11C2511yescharacteristic
580C22×D11—21no—
581C22×D11—21no—
582C22×D11—21no—
583C22×D11—21no—
584C22×D11—21no—
585C22×D11—21no—
586C22×D11—21no—
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×D11H(5,𝔽2)12yes—
608Q8×C11—82no—
609D4×C11—82no—
610C2×C4×C11—21no—
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—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—82no—
650C22⋊D11—44no—
651C22⋊D11—82no—
652C22⋊D11—82no—
653C22⋊D11—82no—
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—44no—
691C2×Dic11—82no—
692C2×Dic11C2×#4112yes—
693C2×Dic11C2×#4112yes—
694C2×Dic11H(5,𝔽2)12yes—
695D44—82no—
696D44—82no—
697C4×D11—44no—
698C4×D11—44no—
699C4×D11—44no—
700Dic22—82no—
701C2×C4⋊Q8—111no—
702C2×#124—111no—
703C2×#124—111no—
704C2×#123—111no—
705C2×#123—111no—
706C2×#123—111no—
707C2×#123—111no—
708C2×C22⋊Q8—111no—
709C2×#121—111no—
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#398—111no—
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#397C2×D1111yescharacteristic, complemented
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#396—111no—
746#395C2×D1111yescharacteristic, complemented
747#394—111no—
748#394—111no—
749#394—111no—
750#394—111no—
751#394—111no—
752#394—111no—
753#394—111no—
754#394—111no—
755#394—111no—
756#394C2×D1111yescharacteristic
757#393—111no—
758#393—111no—
759#393—111no—
760#393C2×D1111yescharacteristic
761#393C2×D1111yescharacteristic, complemented
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
772#389—111no—
773#389—111no—
774#389—111no—
775#389—111no—
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#388C2×D1111yescharacteristic
805#388C2×D1111yescharacteristic, complemented
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#387C2×D1111yescharacteristic, complemented
817#387C2×D1111yescharacteristic, complemented
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#385—111no—
835#385—111no—
836#383C2×D1111yescharacteristic, complemented
837#382—111no—
838#382—111no—
839#381—111no—
840#381C2×D1111yescharacteristic
841#380—111no—
842#380—111no—
843#380—111no—
844#380C2×D1111yescharacteristic
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×C11C22×#4111yescharacteristic
871C22×C11C2×H(5,𝔽2)11yescharacteristic
872C22×C11C2×H(5,𝔽2)11yescharacteristic
873C22×C11#58511yescharacteristic
874C22×C11#58511yescharacteristic
875C22×C11#58511yescharacteristic
876C22×C11#58511yescharacteristic
877C2×D11—22no—
878C2×D11—22no—
879C2×D11—22no—
880C2×D11—41no—
881C2×D11—41no—
882C2×D11—41no—
883C2×D11—41no—
884C2×D11—41no—
885C2×D11—41no—
886C2×D11—41no—
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—41no—
900C4×C11—41no—
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—
911C4×C11—41no—
912Dic11—22no—
913Dic11—22no—
914Dic11—22no—
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×Q8C22×D1111yescharacteristic
928C22×D4—111no—
929C22×D4—111no—
930C22×D4—111no—
931C22×D4—111no—
932C22×D4—111no—
933C22×D4—111no—
934C22×D4C22×D1111yescharacteristic
935C23×C4—111no—
936C23×C4—111no—
937C23×C4—111no—
938C23×C4—111no—
939C23×C4—111no—
940C23×C4C22×D1111yescharacteristic
941C4⋊Q8—442no—
942#124—442no—
943#124—442no—
944#123—224no—
945#123—442no—
946#123—442no—
947#123—442no—
948C22⋊Q8—442no—
949#121—442no—
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⋊C4—111no—
976C2×C4⋊C4—111no—
977C2×C4⋊C4—111no—
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—111no—
1023C2×C22⋊C4—111no—
1024C2×C22⋊C4—224no—
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—442no—
1047C2×C42C22×D1111yescharacteristic
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#95C22×D1111yescharacteristic
1082#95C22×D1111yescharacteristic
1083#95C22×D1111yescharacteristic
1084#95C22×D1111yescharacteristic
1085#95C22×D1111yescharacteristic
1086#95C22×D1111yescharacteristic
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#345511yescharacteristic
1098C2×C11#349411yescharacteristic
1099C2×C11#350511yescharacteristic
1100C2×C11#353411yescharacteristic
1101C2×C11#354011yescharacteristic
1102C2×C11#354511yescharacteristic
1103C2×C11#356611yescharacteristic
1104D11—42no—
1105D11—81no—
1106D11—81no—
1107C24—111no—
1108C24—111no—
1109C24—111no—
1110C24—222no—
1111C24—441no—
1112C24—441no—
1113C24—441no—
1114C24—441no—
1115C24—441no—
1116C24—441no—
1117C24C23×D1111yescharacteristic
1118C24C23×D1111yescharacteristic
1119C2×Q8—41no—
1120C2×Q8—41no—
1121C2×Q8—41no—
1122C2×Q8—222no—
1123C2×Q8—441no—
1124C2×Q8—441no—
1125C2×D4—22no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—222no—
1129C2×D4—222no—
1130C2×D4—222no—
1131C2×D4—222no—
1132C2×D4—222no—
1133C2×D4—222no—
1134C2×D4—441no—
1135C2×D4—441no—
1136C2×D4—441no—
1137C2×D4—441no—
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—41no—
1148C22×C4—41no—
1149C22×C4—111no—
1150C22×C4—111no—
1151C22×C4—111no—
1152C22×C4—114no—
1153C22×C4—111no—
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—222no—
1164C22×C4—222no—
1165C22×C4—222no—
1166C22×C4—441no—
1167C22×C4—441no—
1168C22×C4—441no—
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×C4C23×D1111yescharacteristic
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—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—222no—
1196C4⋊C4—222no—
1197C4⋊C4—222no—
1198C4⋊C4—222no—
1199C4⋊C4—222no—
1200C4⋊C4—441no—
1201C4⋊C4—441no—
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—41no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—222no—
1231C22⋊C4—222no—
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—222no—
1243C22⋊C4—222no—
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—41no—
1273C42—222no—
1274C42—222no—
1275C42—222no—
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—112no—
1298C23—221no—
1299C23—221no—
1300C23—221no—
1301C23—221no—
1302C23—221no—
1303C23—221no—
1304C23—221no—
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#41×D1112yes—
1326C23C24×D1111yescharacteristic
1327Q8—82no—
1328Q8—882no—
1329D4—82no—
1330D4—444no—
1331D4—882no—
1332D4—882no—
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—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—82no—
1376C2×C4—112no—
1377C2×C4—112no—
1378C2×C4—112no—
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—221no—
1415C2×C4—444no—
1416C2×C4—444no—
1417C2×C4—444no—
1418C2×C4—444no—
1419C2×C4—882no—
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—222no—
1435C22—222no—
1436C22—222no—
1437C22—441no—
1438C22—441no—
1439C22—441no—
1440C22—441no—
1441C22—441no—
1442C22—441no—
1443C22—441no—
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×#41×D1111yescharacteristic
1457C22#1062345311yescharacteristic
1458C22#1062345311yescharacteristic
1459C22D11×H(5,𝔽2)11yescharacteristic
1460C22D11×H(5,𝔽2)11yescharacteristic
1461C22#1062345511yescharacteristic
1462C22#1062345711yescharacteristic
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—222no—
1477C4—222no—
1478C4—222no—
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—442no—
1492C2—881no—
1493C2—881no—
1494C2#1308200211yescharacteristic
1495C2#1308234211yescharacteristic
1496C2#1308244711yescharacteristic
1497C2#1308279711yescharacteristic
1498C2#1308288111yescharacteristic
1499C2#1308296411yescharacteristic
1500C2#1308327011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2737C2
prime radical#13074938C2
hypercenter#2737D11
hypocenterC11#36784
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2737

Complements

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

NH ≅ G/Ntype
1. #13076940C2semidirect
2. #13076914C2semidirect
3. #13076300C2semidirect
4. #13076246C2semidirect
5. #13076138C2semidirect
6. #13075949C2semidirect
7. #13075900C2semidirect
8. #13075770C2semidirect
9. #13075652C2semidirect
10. #13075629C2semidirect
11. #13075234C2semidirect
12. #13075127C2semidirect
13. #13075038C2semidirect
14. #13074999C2semidirect
15. #13074991C2semidirect
17. #13074890C2semidirect
18. #13074644C2semidirect
19. #13074637C2semidirect
20. #13074231C2semidirect
21. #13074135C2semidirect
22. #13073716C2semidirect
23. #13073511C2semidirect
24. #13073474C2semidirect
25. #13073464C2semidirect
26. #13072300C2semidirect
27. #13072004C2semidirect
28. #13071403C2semidirect
29. #13071213C2semidirect
30. #13071058C2semidirect
31. C11×#2737C2semidirect
33. C2×#66997C22semidirect
38. C2×#66949C22semidirect
40. C2×#66939C22semidirect
46. C2×C42×D11C22semidirect
47. C11×#397C22semidirect
48. C11×#397C22semidirect
49. C11×#395C22semidirect
52. C11×#393C22semidirect
55. C11×#388C22semidirect
56. C11×#387C22semidirect
57. C11×#387C22semidirect
59. C11×#383C22semidirect
63. #10622843C22semidirect
77. #10622603C22semidirect
78. #10622602C22semidirect
79. #10622602C22semidirect
80. #10622596C22semidirect
81. #10622595C22semidirect
82. #10622591C22semidirect
83. C4⋊C4×Dic11C22semidirect
84. #10622586C22semidirect
85. #10622585C22semidirect
97. #10622570C22semidirect
100. #10622569C22semidirect
101. #10622569C22semidirect
108. #10622564C22semidirect
111. #10622561C22semidirect
113. #10622559C22semidirect
114. #10622558C22semidirect
117. #10622557C22semidirect
118. #10622557C22semidirect
120. #10622555C22semidirect
123. C22⋊C4×Dic11C22semidirect
128. #10622546C22semidirect
129. #10622546C22semidirect
130. C4×Dic11⋊C4C22semidirect
137. #10622288C22semidirect
138. #10622288C22semidirect
157. #10622282C22semidirect
158. #10622281C22semidirect
159. #10622281C22semidirect
160. #10622279C22semidirect
165. #10622277C22semidirect
166. #10622274C22semidirect
167. #10622273C22semidirect
168. #10622272C22semidirect
169. #10622272C22semidirect
170. #10622272C22semidirect
171. #10622270C22semidirect
172. #10622270C22semidirect
173. #10622268C22semidirect
174. #10622267C22semidirect
175. #10622266C22semidirect
176. #10622265C22semidirect
177. #10622265C22semidirect
178. #10622265C22semidirect
179. #10622265C22semidirect
180. #10622263C22semidirect
181. #10622263C22semidirect
182. #10622261C22semidirect
183. #10622260C22semidirect
184. #10622260C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
542. #2737D11semidirect
736. #397C2×D11semidirect
737. #397C2×D11semidirect
746. #395C2×D11semidirect
761. #393C2×D11semidirect
805. #388C2×D11semidirect
816. #387C2×D11semidirect
817. #387C2×D11semidirect
836. #383C2×D11semidirect
1283. C11#36784semidirect

Maximal subgroups

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

subgroupindex
#130769402
#130769142
#130763002
#130762462
#130761382
#130759492
#130759002
#130757702
#130756522
#130756292
#130752342
#130751272
#130750382
#130749992
#130749912
#130749382
#130748902
#130746442
#130746372
#130742312
#130741352
#130737162
#130735112
#130734742
#130734642
#130723002
#130720042
#130714032
#130712132
#130710582
C11×#27372
#3678411