Finite Group Databasebeta

← #14967678

Subgroups — #14967678

Order 2816.

1866 conjugacy classes of subgroups.

The subgroup lattice has 1514 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076909C211yesmaximal, characteristic, complemented
2#13076909C211yesmaximal, characteristic, complemented
3#13076133C211yesmaximal, characteristic, complemented
4#13076058C211yesmaximal, characteristic, complemented
5#13076048C211yesmaximal, characteristic, complemented
6#13076038C211yesmaximal, characteristic, complemented
7#13076004C211yesmaximal, characteristic, complemented
8#13075998C211yesmaximal, characteristic, complemented
9#13075994C211yesmaximal, characteristic, complemented
10#13075879C211yesmaximal, characteristic, complemented
11#13075872C211yesmaximal, characteristic, complemented
12#13075862C211yesmaximal, characteristic, complemented
13#13075859C211yesmaximal, characteristic, complemented
14#13075853C211yesmaximal, characteristic, complemented
15#13075846C211yesmaximal, characteristic, complemented
16#13075836C211yesmaximal, characteristic, complemented
17#13075758C211yesmaximal, characteristic, complemented
18#13075748C211yesmaximal, characteristic, complemented
19#13074427C211yesmaximal, characteristic, complemented
20#13074353C211yesmaximal, characteristic
21#13073007C211yesmaximal, characteristic, complemented
22#13072938C211yesmaximal, characteristic, complemented
23#13072936C211yesmaximal, characteristic, complemented
24#13072167C211yesmaximal, characteristic, complemented
25#13072165C211yesmaximal, characteristic, complemented
26#13072097C211yesmaximal, characteristic, complemented
27#13072095C211yesmaximal, characteristic, complemented
28#13071276C211yesmaximal, characteristic, complemented
29#13071273C211yesmaximal, characteristic, complemented
30C2×#10622277C211yesmaximal, characteristic, complemented
31C11×#2493C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×#66983C2211yescharacteristic
34C2×#66982C2211yescharacteristic
35C2×#66982C2211yescharacteristic
36C2×C4×C22⋊D11C2211yescharacteristic
37C22×(C2×D11)⋊C4C2211yescharacteristic
38C22×(C2×D11)⋊C4C2211yescharacteristic
39C2×#66939C2211yescharacteristic
40C2×#66939C2211yescharacteristic
41C2×#66935C2211yescharacteristic
42C2×#66935C2211yescharacteristic
43C2×(C22⋊D11)⋊C4C2211yescharacteristic
44C2×#66931C2211yescharacteristic
45C11×#401C2211yescharacteristic, complemented
46C11×#400C2211yescharacteristic, complemented
47C11×#400C2211yescharacteristic, complemented
48C11×#400C2211yescharacteristic, complemented
49C11×#387C2211yescharacteristic, complemented
50C11×#387C2211yescharacteristic, complemented
51C11×#387C2211yescharacteristic, complemented
52C11×#385C2211yescharacteristic
53C11×#385C2211yescharacteristic
54C11×#383C2211yescharacteristic, complemented
55C11×#381C2211yescharacteristic
56C11×#381C2211yescharacteristic
57C11×#380C2211yescharacteristic
58C4×C11×C22⋊C4C2211yescharacteristic
59C2×C11×#95C2211yescharacteristic
60#10622826C2211yescharacteristic
61#10622823C2211yescharacteristic
62C2×C11⋊#95C2211yescharacteristic
63C2×C11⋊#95C2211yescharacteristic
64C2×C11⋊#95C2211yescharacteristic
65#10622607C2211yescharacteristic
66#10622607C2211yescharacteristic
67#10622607C2211yescharacteristic, complemented
68#10622606C2211yescharacteristic, complemented
69#10622605C2211yescharacteristic
70#10622605C2211yescharacteristic
71#10622604C2211yescharacteristic
72#10622604C2211yescharacteristic
73#10622604C2211yescharacteristic
74#10622604C2211yescharacteristic
75#10622604C2211yescharacteristic, complemented
76#10622603C2211yescharacteristic
77#10622603C2211yescharacteristic
78#10622602C2211yescharacteristic, complemented
79#10622601C2211yescharacteristic
80#10622601C2211yescharacteristic
81#10622600C2211yescharacteristic, complemented
82#10622599C2211yescharacteristic, complemented
83#10622598C2211yescharacteristic, complemented
84#10622597C2211yescharacteristic, complemented
85#10622595C2211yescharacteristic, complemented
86#10622594C2211yescharacteristic, complemented
87#10622594C2211yescharacteristic, complemented
88#10622591C2211yescharacteristic, complemented
89#10622571C2211yescharacteristic
90#10622571C2211yescharacteristic
91#10622571C2211yescharacteristic
92#10622568C2211yescharacteristic
93#10622568C2211yescharacteristic
94#10622563C2211yescharacteristic
95#10622556C2211yescharacteristic
96#10622556C2211yescharacteristic
97#10622555C2211yescharacteristic
98C22⋊C4×Dic11C2211yescharacteristic
99#10622553C2211yescharacteristic
100#10622553C2211yescharacteristic
101#10622553C2211yescharacteristic, complemented
102#10622553C2211yescharacteristic, complemented
103#10622552C2211yescharacteristic
104#10622552C2211yescharacteristic
105#10622549C2211yescharacteristic, complemented
106#10622542C2211yescharacteristic, complemented
107#10622289C2211yescharacteristic
108#10622289C2211yescharacteristic
109#10622289C2211yescharacteristic, complemented
110#10622288C2211yescharacteristic, complemented
111#10622288C2211yescharacteristic, complemented
112#10622288C2211yescharacteristic, complemented
113#10622288C2211yescharacteristic, complemented
114#10622287C2211yescharacteristic
115#10622287C2211yescharacteristic
116#10622287C2211yescharacteristic, complemented
117#10622287C2211yescharacteristic, complemented
118#10622287C2211yescharacteristic, complemented
119#10622286C2211yescharacteristic
120#10622286C2211yescharacteristic
121#10622286C2211yescharacteristic, complemented
122#10622286C2211yescharacteristic, complemented
123#10622285C2211yescharacteristic, complemented
124#10622284C2211yescharacteristic
125#10622284C2211yescharacteristic
126#10622283C2211yescharacteristic
127#10622283C2211yescharacteristic
128#10622283C2211yescharacteristic, complemented
129#10622283C2211yescharacteristic, complemented
130#10622282C2211yescharacteristic
131#10622282C2211yescharacteristic
132#10622282C2211yescharacteristic, complemented
133#10622282C2211yescharacteristic, complemented
134#10622281C2211yescharacteristic
135#10622281C2211yescharacteristic
136#10622281C2211yescharacteristic
137#10622281C2211yescharacteristic
138#10622281C2211yescharacteristic
139#10622281C2211yescharacteristic
140#10622281C2211yescharacteristic
141#10622281C2211yescharacteristic
142#10622281C2211yescharacteristic, complemented
143#10622280C2211yescharacteristic, complemented
144#10622278C2211yescharacteristic
145#10622278C2211yescharacteristic
146#10622278C2211yescharacteristic
147#10622278C2211yescharacteristic
148#10622278C2211yescharacteristic
149#10622278C2211yescharacteristic
150#10622278C2211yescharacteristic
151#10622278C2211yescharacteristic
152#10622278C2211yescharacteristic
153#10622278C2211yescharacteristic
154#10622278C2211yescharacteristic
155#10622278C2211yescharacteristic
156#10622278C2211yescharacteristic, complemented
157#10622278C2211yescharacteristic, complemented
158#10622277C2211yescharacteristic
159#10622277C2211yescharacteristic
160#10622277C2211yescharacteristic
161#10622277C2211yescharacteristic
162#10622277C2211yescharacteristic
163#10622277C2211yescharacteristic
164#10622277C2211yescharacteristic
165#10622277C2211yescharacteristic
166#10622277C2211yescharacteristic, complemented
167#10622277C2211yescharacteristic, complemented
168C11⋊#401C2211yescharacteristic, complemented
169#10622274C2211yescharacteristic, complemented
170#10622273C2211yescharacteristic, complemented
171#10622273C2211yescharacteristic, complemented
172#10622273C2211yescharacteristic, complemented
173#10622272C2211yescharacteristic, complemented
174#10622272C2211yescharacteristic, complemented
175#10622271C2211yescharacteristic, complemented
176#10622271C2211yescharacteristic, complemented
177#10622270C2211yescharacteristic, complemented
178#10622270C2211yescharacteristic, complemented
179#10622268C2211yescharacteristic, complemented
180#10622267C2211yescharacteristic, complemented
181#10622267C2211yescharacteristic, complemented
182#10622265C2211yescharacteristic, complemented
183#10622264C2211yescharacteristic, complemented
184#10622263C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C22×D44C2311yescharacteristic
197C22×D44C2311yescharacteristic
198C22×D44C2311yescharacteristic
199C22×D44C2311yescharacteristic
200C22×D44C2311yescharacteristic
201C22×C4×D11—24no—
202C22×C4×D11—42no—
203C22×C4×D11—42no—
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×Dic22C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225#66983—42no—
226#66982—42no—
227#66982—42no—
228C4×C22⋊D11—42no—
229C2×(C2×D11)⋊C4—42no—
230C2×(C2×D11)⋊C4—42no—
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
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×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
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×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×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295#66939—42no—
296#66939—42no—
297#66935—24no—
298#66935—24no—
299(C22⋊D11)⋊C4—42no—
300#66931—42no—
301C11×#95C2311yescharacteristic
302C11×#95C2311yescharacteristic
303C11×#95C2311yescharacteristic
304C11×#95C2311yescharacteristic
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
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#36974—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C23×D11—22no—
360C23×D11—22no—
361C23×D11—41no—
362C23×D11—41no—
363C23×D11—41no—
364C23×D11—41no—
365C23×D11#4114yes—
366C23×D11C2411yescharacteristic
367C23×D11C2411yescharacteristic
368C23×D11C2411yescharacteristic
369C23×D11C2411yescharacteristic
370C22×C4×C11—22no—
371C22×C4×C11—22no—
372C22×C4×C11—22no—
373C22×C4×C11—22no—
374C22×C4×C11—22no—
375C22×C4×C11—41no—
376C22×C4×C11—41no—
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
392C22×C4×C11C2411yescharacteristic
393C2×C22⋊D11—22no—
394C2×C22⋊D11—22no—
395C2×C22⋊D11—22no—
396C2×C22⋊D11—22no—
397C2×C22⋊D11—22no—
398C2×C22⋊D11—22no—
399C22×Dic11—22no—
400C22×Dic11—22no—
401C22×Dic11—22no—
402C22×Dic11—22no—
403C22×Dic11—22no—
404C22×Dic11—41no—
405C22×Dic11—41no—
406C22×Dic11—41no—
407C22×Dic11—41no—
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C2×D44—22no—
421C2×D44—22no—
422C2×D44—22no—
423C2×D44—22no—
424C2×D44—41no—
425C2×D44—41no—
426C2×D44—41no—
427C2×D44—41no—
428C2×D44—41no—
429C2×D44—41no—
430C2×D44—41no—
431C2×D44—41no—
432C2×D44—41no—
433C2×D44—41no—
434C2×D44—41no—
435C2×C4×D11—22no—
436C2×C4×D11—22no—
437C2×C4×D11—22no—
438C2×C4×D11—22no—
439C2×C4×D11—41no—
440C2×C4×D11—41no—
441C2×C4×D11—41no—
442C2×C4×D11—41no—
443C2×C4×D11—41no—
444C2×C4×D11—41no—
445C2×C4×D11—41no—
446C2×C4×D11—41no—
447C2×C4×D11—41no—
448C2×C4×D11—41no—
449C2×C4×D11—41no—
450C2×C4×D11—41no—
451C2×C4×D11—41no—
452C2×C4×D11—41no—
453C2×C4×D11—416no—
454C2×Dic22—41no—
455C2×Dic22—41no—
456C2×Dic22—41no—
457C11×C4⋊C4—41no—
458C11×C4⋊C4—41no—
459C11×C4⋊C4—41no—
460C11×C4⋊C4—41no—
461C11×C4⋊C4—41no—
462C11×C4⋊C4—41no—
463C11×C22⋊C4—22no—
464C11×C22⋊C4—22no—
465C11×C22⋊C4—22no—
466C11×C22⋊C4—22no—
467C42×C11—41no—
468C42×C11—41no—
469C22⋊Dic11—22no—
470C22⋊Dic11—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—41no—
476(C2×D11)⋊C4—41no—
477(C2×D11)⋊C4—41no—
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—
500(C2×D11)⋊C4—41no—
501(C2×D11)⋊C4—41no—
502(C2×D11)⋊C4—41no—
503(C2×D11)⋊C4—41no—
504(C2×D11)⋊C4—41no—
505(C2×D11)⋊C4—41no—
506(C2×D11)⋊C4—41no—
507(C2×D11)⋊C4—41no—
508(C2×D11)⋊C4—41no—
509(C2×D11)⋊C4—41no—
510(C2×D11)⋊C4—41no—
511C4⋊Dic11—41no—
512C4⋊Dic11—41no—
513C4⋊Dic11—41no—
514C4⋊Dic11—41no—
515C4⋊Dic11—41no—
516C4⋊Dic11—41no—
517C4⋊Dic11—41no—
518C4⋊Dic11—41no—
519Dic11⋊C4—41no—
520Dic11⋊C4—41no—
521Dic11⋊C4—41no—
522Dic11⋊C4—41no—
523Dic11⋊C4—41no—
524Dic11⋊C4—41no—
525Dic11⋊C4—41no—
526Dic11⋊C4—41no—
527Dic11⋊C4—41no—
528Dic11⋊C4—41no—
529Dic11⋊C4—41no—
530Dic11⋊C4—41no—
531C4×Dic11—41no—
532C4×Dic11—41no—
533C4×Dic11—41no—
534C4×Dic11—41no—
535#2849—111no—
536#2849—111no—
537#2771—111no—
538#2765—111no—
539#2765—111no—
540#2764—111no—
541#2761—111no—
542#2761—111no—
543#2760—111no—
544#2752—111no—
545#2751—111no—
546#2751—111no—
547#2750—111no—
548#2750—111no—
549#2749—111no—
550#2749—111no—
551#2743—111no—
552#2743—111no—
553#2626—111no—
554#2617—111no—
555#2493—111no—
556#2493D1111yescharacteristic, complemented
557#2488—111no—
558#2488—111no—
559#2425—111no—
560#2425—111no—
561#2419—111no—
562#2419—111no—
563#2321—111no—
564#2321—111no—
565C2×#381—111no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11—21no—
569C23×C11—21no—
570C23×C11C2×#4112yes—
571C23×C11H(5,𝔽2)12yes—
572C23×C11H(5,𝔽2)12yes—
573C23×C11C2511yescharacteristic
574C22×D11—28no—
575C22×D11—21no—
576C22×D11—21no—
577C22×D11—21no—
578C22×D11—21no—
579C22×D11—21no—
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—21no—
601C22×D11—44no—
602C22×D11—44no—
603C22×D11—44no—
604C22×D11—44no—
605C22×D11—44no—
606C22×D11—44no—
607C22×D11C2×#4112yes—
608C22×D11C2×#4112yes—
609C2×C4×C11—21no—
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—21no—
650C2×C4×C11—21no—
651C2×C4×C11—44no—
652C2×C4×C11—82no—
653C2×C4×C11—82no—
654C22⋊D11—44no—
655C22⋊D11—44no—
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—44no—
693C2×Dic11—82no—
694C2×Dic11—82no—
695D44—82no—
696D44—82no—
697D44—82no—
698D44—82no—
699D44—82no—
700C4×D11—44no—
701C4×D11—44no—
702C4×D11—44no—
703C4×D11—44no—
704C4×D11—82no—
705C4×D11—82no—
706Dic22—82no—
707C24×C4—111no—
708C2×#123—111no—
709C2×#123—111no—
710C2×#123—111no—
711C2×#123—111no—
712C2×C22⋊Q8—111no—
713C2×#121—111no—
714C2×#120—111no—
715C2×#120—111no—
716C2×C4×D4—111no—
717C2×C4×D4—111no—
718C22×C22⋊C4—111no—
719C22×C22⋊C4—111no—
720#401—111no—
721#401C2×D1111yescharacteristic, complemented
722#400—111no—
723#400—111no—
724#400—111no—
725#400—111no—
726#400—111no—
727#400—111no—
728#400—111no—
729#400—111no—
730#400—111no—
731#400C2×D1111yescharacteristic, complemented
732#400C2×D1111yescharacteristic, complemented
733#400C2×D1111yescharacteristic, complemented
734#399—111no—
735#399—111no—
736#398—111no—
737#398—111no—
738#398—111no—
739#398—111no—
740#397—111no—
741#397—111no—
742#397—111no—
743#397—111no—
744#397—111no—
745#397—111no—
746#397—111no—
747#397—111no—
748#397—111no—
749#397—111no—
750#396—111no—
751#396—111no—
752#396—111no—
753#396—111no—
754#396—111no—
755#396—111no—
756#394—111no—
757#394—111no—
758#394—111no—
759#394—111no—
760#394—111no—
761#394—111no—
762#393—111no—
763#393—111no—
764#393—111no—
765#393—111no—
766#392—111no—
767#392—111no—
768#391—111no—
769#391—111no—
770#390—111no—
771#390—111no—
772#390—111no—
773#390—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#387—111no—
791#387—111no—
792#387—111no—
793#387—111no—
794#387—111no—
795#387—111no—
796#387—111no—
797#387C2×D1111yescharacteristic, complemented
798#387C2×D1111yescharacteristic, complemented
799#387C2×D1111yescharacteristic, complemented
800#386—111no—
801#386—111no—
802#386—111no—
803#386—111no—
804#386—111no—
805#386—111no—
806#386—111no—
807#386—111no—
808#386—111no—
809#386—111no—
810#386—111no—
811#386—111no—
812#386—111no—
813#386—111no—
814#386—111no—
815#386—111no—
816#386—111no—
817#386—111no—
818#385—111no—
819#385—111no—
820#385—111no—
821#385—111no—
822#385—111no—
823#385—111no—
824#385—111no—
825#385—111no—
826#385—111no—
827#385—111no—
828#385—111no—
829#385—111no—
830#385C2×D1111yescharacteristic
831#385C2×D1111yescharacteristic
832#383—111no—
833#383C2×D1111yescharacteristic, complemented
834#382—111no—
835#382—111no—
836#381—111no—
837#381—111no—
838#381—111no—
839#381—111no—
840#381—111no—
841#381—111no—
842#381—111no—
843#381—111no—
844#381—111no—
845#381—111no—
846#381—111no—
847#381—111no—
848#381C2×D1111yescharacteristic
849#381C2×D1111yescharacteristic
850#380—111no—
851#380—111no—
852#380—111no—
853#380C2×D1111yescharacteristic
854#379—111no—
855#379—111no—
856C4×C22⋊C4—111no—
857C4×C22⋊C4C2×D1111yescharacteristic
858C2×#95—111no—
859C2×#95—111no—
860C2×#95—111no—
861C2×#95C2×D1111yescharacteristic
862C22×C11—22no—
863C22×C11—22no—
864C22×C11—22no—
865C22×C11—22no—
866C22×C11—22no—
867C22×C11—22no—
868C22×C11#53814yes—
869C22×C11C22×#4111yescharacteristic
870C22×C11C2×H(5,𝔽2)11yescharacteristic
871C22×C11C2×H(5,𝔽2)11yescharacteristic
872C22×C11#58511yescharacteristic
873C22×C11#58511yescharacteristic
874C22×C11#58511yescharacteristic
875C22×C11#58511yescharacteristic
876C2×D11—22no—
877C2×D11—22no—
878C2×D11—22no—
879C2×D11—22no—
880C2×D11—22no—
881C2×D11—22no—
882C2×D11—416no—
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—41no—
899C2×D11—41no—
900C2×D11—41no—
901C2×D11—41no—
902C2×D11—41no—
903C2×D11—41no—
904C2×D11—41no—
905C4×C11—41no—
906C4×C11—41no—
907C4×C11—41no—
908C4×C11—41no—
909C4×C11—41no—
910C4×C11—41no—
911C4×C11—41no—
912C4×C11—41no—
913C4×C11—41no—
914C4×C11—41no—
915C4×C11—41no—
916C4×C11—41no—
917C4×C11—41no—
918C4×C11—41no—
919Dic11—41no—
920Dic11—41no—
921Dic11—41no—
922Dic11—41no—
923Dic11—41no—
924Dic11—41no—
925Dic11—41no—
926Dic11—41no—
927Dic11—41no—
928Dic11—41no—
929Dic11—41no—
930Dic11—41no—
931C25—111no—
932C22×Q8—111no—
933C22×D4—111no—
934C22×D4—111no—
935C22×D4—111no—
936C22×D4—111no—
937C22×D4—111no—
938C22×D4—111no—
939C22×D4—111no—
940C23×C4—111no—
941C23×C4—111no—
942C23×C4—111no—
943C23×C4—111no—
944C23×C4—111no—
945C23×C4—111no—
946C23×C4—111no—
947C23×C4—111no—
948C23×C4—111no—
949C23×C4—224no—
950C23×C4—442no—
951C23×C4—442no—
952C23×C4C22×D1111yescharacteristic
953C23×C4C22×D1111yescharacteristic
954C23×C4C22×D1111yescharacteristic
955#123—442no—
956#123—442no—
957#123—442no—
958#123—442no—
959C22⋊Q8—442no—
960#121—442no—
961#120—224no—
962#120—224no—
963C4×D4—442no—
964C4×D4—442no—
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⋊C4—111no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—111no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—111no—
983C2×C4⋊C4—111no—
984C2×C4⋊C4—111no—
985C2×C4⋊C4C22×D1111yescharacteristic
986C2×C4⋊C4C22×D1111yescharacteristic
987C2×C4⋊C4C22×D1111yescharacteristic
988C2×C4⋊C4C22×D1111yescharacteristic
989C2×C4⋊C4C22×D1111yescharacteristic
990C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—111no—
1029C2×C22⋊C4—111no—
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—442no—
1034C2×C22⋊C4—442no—
1035C2×C22⋊C4C22×D1111yescharacteristic
1036C2×C22⋊C4C22×D1111yescharacteristic
1037C2×C22⋊C4C22×D1111yescharacteristic
1038C2×C22⋊C4C22×D1111yescharacteristic
1039C2×C42—111no—
1040C2×C42—111no—
1041C2×C42—111no—
1042C2×C42—111no—
1043C2×C42C22×D1111yescharacteristic
1044C2×C42C22×D1111yescharacteristic
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
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
1095#95C22×D1111yescharacteristic
1096#95C22×D1111yescharacteristic
1097#95C22×D1111yescharacteristic
1098#95C22×D1111yescharacteristic
1099#95C22×D1111yescharacteristic
1100#95C22×D1111yescharacteristic
1101C2×C11—24no—
1102C2×C11C2×#53811yescharacteristic
1103C2×C11#349111yescharacteristic
1104C2×C11#349111yescharacteristic
1105C2×C11#353311yescharacteristic
1106C2×C11#353311yescharacteristic
1107C2×C11#353311yescharacteristic
1108C2×C11#353311yescharacteristic
1109D11—42no—
1110D11—42no—
1111D11—81no—
1112D11—81no—
1113C24—111no—
1114C24—111no—
1115C24—114no—
1116C24—111no—
1117C24—111no—
1118C24—222no—
1119C24—222no—
1120C24—441no—
1121C24—441no—
1122C24—441no—
1123C24—441no—
1124C24C23×D1111yescharacteristic
1125C2×Q8—441no—
1126C2×Q8—441no—
1127C2×Q8—441no—
1128C2×D4—222no—
1129C2×D4—222no—
1130C2×D4—222no—
1131C2×D4—222no—
1132C2×D4—222no—
1133C2×D4—222no—
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—
1146C2×D4—441no—
1147C2×D4—441no—
1148C2×D4—441no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
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—111no—
1168C22×C4—111no—
1169C22×C4—111no—
1170C22×C4—222no—
1171C22×C4—222no—
1172C22×C4—222no—
1173C22×C4—222no—
1174C22×C4—222no—
1175C22×C4—222no—
1176C22×C4—222no—
1177C22×C4—222no—
1178C22×C4—222no—
1179C22×C4—441no—
1180C22×C4—441no—
1181C22×C4—441no—
1182C22×C4—441no—
1183C22×C4—441no—
1184C22×C4—441no—
1185C22×C4—441no—
1186C22×C4—441no—
1187C22×C4—441no—
1188C22×C4—441no—
1189C22×C4—441no—
1190C22×C4—441no—
1191C22×C4—441no—
1192C22×C4—441no—
1193C22×C4—4416no—
1194C22×C4—441no—
1195C22×C4—441no—
1196C22×C4—441no—
1197C22×C4—441no—
1198C22×C4C23×D1111yescharacteristic
1199C22×C4C23×D1111yescharacteristic
1200C22×C4C23×D1111yescharacteristic
1201C22×C4C23×D1111yescharacteristic
1202C22×C4C23×D1111yescharacteristic
1203C22×C4C23×D1111yescharacteristic
1204C22×C4C23×D1111yescharacteristic
1205C22×C4C23×D1111yescharacteristic
1206C22×C4C23×D1111yescharacteristic
1207C22×C4C23×D1111yescharacteristic
1208C22×C4C23×D1111yescharacteristic
1209C22×C4C23×D1111yescharacteristic
1210C22×C4C23×D1111yescharacteristic
1211C22×C4C23×D1111yescharacteristic
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—41no—
1217C4⋊C4—41no—
1218C4⋊C4—441no—
1219C4⋊C4—441no—
1220C4⋊C4—441no—
1221C4⋊C4—441no—
1222C4⋊C4—441no—
1223C4⋊C4—441no—
1224C4⋊C4—441no—
1225C4⋊C4—441no—
1226C4⋊C4—441no—
1227C4⋊C4—441no—
1228C4⋊C4—441no—
1229C4⋊C4—441no—
1230C4⋊C4—441no—
1231C4⋊C4—441no—
1232C4⋊C4—441no—
1233C4⋊C4—441no—
1234C4⋊C4—441no—
1235C4⋊C4—441no—
1236C4⋊C4—441no—
1237C4⋊C4—441no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—222no—
1243C22⋊C4—222no—
1244C22⋊C4—222no—
1245C22⋊C4—222no—
1246C22⋊C4—222no—
1247C22⋊C4—222no—
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—
1271C22⋊C4—441no—
1272C22⋊C4—441no—
1273C22⋊C4—441no—
1274C22⋊C4—441no—
1275C22⋊C4—441no—
1276C22⋊C4—441no—
1277C22⋊C4—441no—
1278C22⋊C4—441no—
1279C22⋊C4—441no—
1280C22⋊C4—441no—
1281C22⋊C4—441no—
1282C22⋊C4—441no—
1283C22⋊C4—441no—
1284C42—41no—
1285C42—41no—
1286C42—441no—
1287C42—441no—
1288C42—441no—
1289C42—441no—
1290C11#3697411yescharacteristic, complemented, Sylow
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—112no—
1296C23—112no—
1297C23—228no—
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—221no—
1319C23—221no—
1320C23—221no—
1321C23—221no—
1322C23—221no—
1323C23—221no—
1324C23—444no—
1325C23—444no—
1326C23—444no—
1327C23—444no—
1328C23—444no—
1329C23—444no—
1330C23#41×D1112yes—
1331C23#6704212yes—
1332C23#6704212yes—
1333C23C24×D1111yescharacteristic
1334Q8—882no—
1335D4—444no—
1336D4—444no—
1337D4—882no—
1338D4—882no—
1339D4—882no—
1340D4—882no—
1341D4—882no—
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—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—44no—
1385C2×C4—82no—
1386C2×C4—82no—
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—221no—
1416C2×C4—221no—
1417C2×C4—221no—
1418C2×C4—221no—
1419C2×C4—221no—
1420C2×C4—221no—
1421C2×C4—221no—
1422C2×C4—221no—
1423C2×C4—444no—
1424C2×C4—444no—
1425C2×C4—444no—
1426C2×C4—444no—
1427C2×C4—444no—
1428C2×C4—882no—
1429C2×C4—882no—
1430C2×C4—882no—
1431C2×C4—882no—
1432C22—22no—
1433C22—22no—
1434C22—22no—
1435C22—22no—
1436C22—22no—
1437C22—22no—
1438C22—222no—
1439C22—222no—
1440C22—222no—
1441C22—222no—
1442C22—222no—
1443C22—222no—
1444C22—4416no—
1445C22—441no—
1446C22—441no—
1447C22—441no—
1448C22—441no—
1449C22—441no—
1450C22—441no—
1451C22—441no—
1452C22—441no—
1453C22—441no—
1454C22—441no—
1455C22—441no—
1456C22—441no—
1457C22—441no—
1458C22—441no—
1459C22—441no—
1460C22—441no—
1461C22—441no—
1462C22—441no—
1463C22—441no—
1464C22—441no—
1465C22—441no—
1466C22—441no—
1467C22#1062323514yes—
1468C22C2×#41×D1111yescharacteristic
1469C22C2×#6704211yescharacteristic
1470C22C2×#6704211yescharacteristic
1471C22#1062345311yescharacteristic
1472C22#1062345311yescharacteristic
1473C22#1062345511yescharacteristic
1474C22#1062345711yescharacteristic
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C4—41no—
1487C4—41no—
1488C4—41no—
1489C4—441no—
1490C4—441no—
1491C4—441no—
1492C4—441no—
1493C4—441no—
1494C4—441no—
1495C4—441no—
1496C4—441no—
1497C4—441no—
1498C4—441no—
1499C4—441no—
1500C4—441no—
1501C2—24no—
1502C2—442no—
1503C2—442no—
1504C2—881no—
1505C2—881no—
1506C2C2×#1062323511yescharacteristic
1507C2#1308230811yescharacteristic
1508C2#1308231011yescharacteristic
1509C2#1308278211yescharacteristic
1510C2#1308278211yescharacteristic
1511C2#1308278811yescharacteristic
1512C2#1308278811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2493C2
prime radical#13074353C2
hypercenter#2493D11
hypocenterC11#36974
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2493

Complements

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

NH ≅ G/Ntype
1. #13076909C2semidirect
2. #13076909C2semidirect
3. #13076133C2semidirect
4. #13076058C2semidirect
5. #13076048C2semidirect
6. #13076038C2semidirect
7. #13076004C2semidirect
8. #13075998C2semidirect
9. #13075994C2semidirect
10. #13075879C2semidirect
11. #13075872C2semidirect
12. #13075862C2semidirect
13. #13075859C2semidirect
14. #13075853C2semidirect
15. #13075846C2semidirect
16. #13075836C2semidirect
17. #13075758C2semidirect
18. #13075748C2semidirect
19. #13074427C2semidirect
21. #13073007C2semidirect
22. #13072938C2semidirect
23. #13072936C2semidirect
24. #13072167C2semidirect
25. #13072165C2semidirect
26. #13072097C2semidirect
27. #13072095C2semidirect
28. #13071276C2semidirect
29. #13071273C2semidirect
30. C2×#10622277C2semidirect
31. C11×#2493C2semidirect
45. C11×#401C22semidirect
46. C11×#400C22semidirect
47. C11×#400C22semidirect
48. C11×#400C22semidirect
49. C11×#387C22semidirect
50. C11×#387C22semidirect
51. C11×#387C22semidirect
54. C11×#383C22semidirect
67. #10622607C22semidirect
68. #10622606C22semidirect
75. #10622604C22semidirect
78. #10622602C22semidirect
81. #10622600C22semidirect
82. #10622599C22semidirect
83. #10622598C22semidirect
84. #10622597C22semidirect
85. #10622595C22semidirect
86. #10622594C22semidirect
87. #10622594C22semidirect
88. #10622591C22semidirect
101. #10622553C22semidirect
102. #10622553C22semidirect
105. #10622549C22semidirect
106. #10622542C22semidirect
109. #10622289C22semidirect
110. #10622288C22semidirect
111. #10622288C22semidirect
112. #10622288C22semidirect
113. #10622288C22semidirect
116. #10622287C22semidirect
117. #10622287C22semidirect
118. #10622287C22semidirect
121. #10622286C22semidirect
122. #10622286C22semidirect
123. #10622285C22semidirect
128. #10622283C22semidirect
129. #10622283C22semidirect
132. #10622282C22semidirect
133. #10622282C22semidirect
142. #10622281C22semidirect
143. #10622280C22semidirect
156. #10622278C22semidirect
157. #10622278C22semidirect
166. #10622277C22semidirect
167. #10622277C22semidirect
168. C11⋊#401C22semidirect
169. #10622274C22semidirect
170. #10622273C22semidirect
171. #10622273C22semidirect
172. #10622273C22semidirect
173. #10622272C22semidirect
174. #10622272C22semidirect
175. #10622271C22semidirect
176. #10622271C22semidirect
177. #10622270C22semidirect
178. #10622270C22semidirect
179. #10622268C22semidirect
180. #10622267C22semidirect
181. #10622267C22semidirect
182. #10622265C22semidirect
183. #10622264C22semidirect
184. #10622263C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
556. #2493D11semidirect
721. #401C2×D11semidirect
731. #400C2×D11semidirect
732. #400C2×D11semidirect
733. #400C2×D11semidirect
797. #387C2×D11semidirect
798. #387C2×D11semidirect
799. #387C2×D11semidirect
833. #383C2×D11semidirect
1290. C11#36974semidirect

Maximal subgroups

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

subgroupindex
#130769092
#130761332
#130760582
#130760482
#130760382
#130760042
#130759982
#130759942
#130758792
#130758722
#130758622
#130758592
#130758532
#130758462
#130758362
#130757582
#130757482
#130744272
#130743532
#130730072
#130729382
#130729362
#130721672
#130721652
#130720972
#130720952
#130712762
#130712732
C2×#106222772
C11×#24932
#3697411