Finite Group Databasebeta

← #14923581

Subgroups — #14923581

Order 2816.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1490 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13073459C211yesmaximal, characteristic, complemented
2#13073452C211yesmaximal, characteristic, complemented
3#13073401C211yesmaximal, characteristic, complemented
4#13073394C211yesmaximal, characteristic, complemented
5#13073319C211yesmaximal, characteristic, complemented
6#13073244C211yesmaximal, characteristic, complemented
7#13073237C211yesmaximal, characteristic, complemented
8#13073173C211yesmaximal, characteristic, complemented
9#13073122C211yesmaximal, characteristic, complemented
10#13073061C211yesmaximal, characteristic, complemented
11#13072891C211yesmaximal, characteristic, complemented
12#13072860C211yesmaximal, characteristic, complemented
13#13072740C211yesmaximal, characteristic
14#13072293C211yesmaximal, characteristic, complemented
15#13071996C211yesmaximal, characteristic
16#13071918C211yesmaximal, characteristic, complemented
17#13071893C211yesmaximal, characteristic, complemented
18#13071881C211yesmaximal, characteristic, complemented
19#13071880C211yesmaximal, characteristic, complemented
20#13071170C211yesmaximal, characteristic, complemented
21#13071157C211yesmaximal, characteristic, complemented
22#13071146C211yesmaximal, characteristic, complemented
23#13071137C211yesmaximal, characteristic, complemented
24#13071117C211yesmaximal, characteristic
25#13071108C211yesmaximal, characteristic, complemented
26#13071074C211yesmaximal, characteristic, complemented
27#13071054C211yesmaximal, characteristic, complemented
28#13070998C211yesmaximal, characteristic, complemented
29C4×#66945C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2522C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×#66950C2211yescharacteristic
34C2×#66947C2211yescharacteristic
35C2×#66946C2211yescharacteristic
36C2×#66946C2211yescharacteristic
37C2×#66945C2211yescharacteristic
38C2×#66945C2211yescharacteristic
39C2×#66945C2211yescharacteristic
40C2×#66945C2211yescharacteristic
41C2×#66945C2211yescharacteristic, complemented
42C2×#66940C2211yescharacteristic, complemented
43C2×#66938C2211yescharacteristic
44C2×#66935C2211yescharacteristic
45C2×(C22⋊D11)⋊C4C2211yescharacteristic
46C2×C22⋊C4×D11C2211yescharacteristic
47C2×C22⋊C4×D11C2211yescharacteristic
48C2×#66932C2211yescharacteristic
49C2×C42×D11C2211yescharacteristic
50C2×C42×D11C2211yescharacteristic
51C11×#399C2211yescharacteristic
52C11×#398C2211yescharacteristic, complemented
53C11×#398C2211yescharacteristic, complemented
54C11×#396C2211yescharacteristic
55C11×#389C2211yescharacteristic, complemented
56C11×#389C2211yescharacteristic, complemented
57C11×#388C2211yescharacteristic
58C11×#388C2211yescharacteristic
59C11×#387C2211yescharacteristic, complemented
60C11×#387C2211yescharacteristic, complemented
61C11×#387C2211yescharacteristic, complemented
62C11×#385C2211yescharacteristic
63C11×#380C2211yescharacteristic
64C4×C11×C4⋊C4C2211yescharacteristic, complemented
65C4×C11×C22⋊C4C2211yescharacteristic
66#10622826C2211yescharacteristic
67#10622825C2211yescharacteristic
68C4×C22⋊Dic11C2211yescharacteristic
69#10622607C2211yescharacteristic
70#10622607C2211yescharacteristic
71#10622606C2211yescharacteristic, complemented
72#10622606C2211yescharacteristic, complemented
73#10622606C2211yescharacteristic, complemented
74#10622605C2211yescharacteristic
75#10622604C2211yescharacteristic
76#10622604C2211yescharacteristic
77#10622603C2211yescharacteristic
78#10622603C2211yescharacteristic
79#10622603C2211yescharacteristic, complemented
80#10622603C2211yescharacteristic, complemented
81#10622602C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622602C2211yescharacteristic
85#10622602C2211yescharacteristic
86#10622601C2211yescharacteristic
87#10622600C2211yescharacteristic
88#10622600C2211yescharacteristic
89#10622600C2211yescharacteristic
90#10622599C2211yescharacteristic, complemented
91#10622599C2211yescharacteristic, complemented
92#10622599C2211yescharacteristic, complemented
93#10622599C2211yescharacteristic, complemented
94#10622598C2211yescharacteristic, complemented
95#10622597C2211yescharacteristic, complemented
96#10622595C2211yescharacteristic, complemented
97#10622594C2211yescharacteristic, complemented
98#10622594C2211yescharacteristic, complemented
99#10622591C2211yescharacteristic, complemented
100#10622591C2211yescharacteristic, complemented
101C4⋊C4×Dic11C2211yescharacteristic, complemented
102C4⋊C4×Dic11C2211yescharacteristic, complemented
103C4⋊C4×Dic11C2211yescharacteristic, complemented
104C4⋊C4×Dic11C2211yescharacteristic, complemented
105C4⋊C4×Dic11C2211yescharacteristic, complemented
106C4⋊C4×Dic11C2211yescharacteristic, complemented
107#10622574C2211yescharacteristic
108#10622574C2211yescharacteristic
109#10622570C2211yescharacteristic
110#10622568C2211yescharacteristic
111#10622568C2211yescharacteristic
112#10622568C2211yescharacteristic
113#10622566C2211yescharacteristic
114#10622566C2211yescharacteristic
115#10622566C2211yescharacteristic
116#10622566C2211yescharacteristic
117#10622558C2211yescharacteristic
118#10622558C2211yescharacteristic
119#10622557C2211yescharacteristic
120C22⋊C4×Dic11C2211yescharacteristic
121C22⋊C4×Dic11C2211yescharacteristic
122C22⋊C4×Dic11C2211yescharacteristic
123C22⋊C4×Dic11C2211yescharacteristic
124C22⋊C4×Dic11C2211yescharacteristic
125#10622553C2211yescharacteristic
126#10622553C2211yescharacteristic, complemented
127#10622553C2211yescharacteristic, complemented
128#10622553C2211yescharacteristic, complemented
129#10622552C2211yescharacteristic
130C4×(C2×D11)⋊C4C2211yescharacteristic
131C4×(C2×D11)⋊C4C2211yescharacteristic
132C4×(C2×D11)⋊C4C2211yescharacteristic
133C4×(C2×D11)⋊C4C2211yescharacteristic
134C4×C4⋊Dic11C2211yescharacteristic, complemented
135#10622546C2211yescharacteristic, complemented
136C42×Dic11C2211yescharacteristic, complemented
137C42×Dic11C2211yescharacteristic, complemented
138#10622542C2211yescharacteristic, complemented
139#10622290C2211yescharacteristic, complemented
140#10622287C2211yescharacteristic
141#10622287C2211yescharacteristic
142#10622286C2211yescharacteristic
143#10622283C2211yescharacteristic
144#10622283C2211yescharacteristic
145#10622283C2211yescharacteristic, complemented
146#10622283C2211yescharacteristic, complemented
147#10622282C2211yescharacteristic
148#10622282C2211yescharacteristic, complemented
149#10622281C2211yescharacteristic
150#10622281C2211yescharacteristic
151#10622279C2211yescharacteristic
152#10622279C2211yescharacteristic
153#10622279C2211yescharacteristic
154#10622279C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622279C2211yescharacteristic
157#10622279C2211yescharacteristic, complemented
158#10622279C2211yescharacteristic, complemented
159#10622279C2211yescharacteristic, complemented
160#10622278C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622277C2211yescharacteristic
166#10622277C2211yescharacteristic
167#10622277C2211yescharacteristic
168D11×#95C2211yescharacteristic
169D11×#95C2211yescharacteristic
170C11⋊#401C2211yescharacteristic, complemented
171#10622274C2211yescharacteristic, complemented
172#10622273C2211yescharacteristic, complemented
173#10622269C2211yescharacteristic, complemented
174#10622267C2211yescharacteristic, complemented
175#10622267C2211yescharacteristic, complemented
176#10622267C2211yescharacteristic, complemented
177#10622267C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622264C2211yescharacteristic, complemented
180#10622263C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622262C2211yescharacteristic, complemented
183#10622261C2211yescharacteristic, complemented
184#10622261C2211yescharacteristic, complemented
185#10622261C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C23×Dic11C2311yescharacteristic
191C22×D44C2311yescharacteristic
192C22×D44C2311yescharacteristic
193C22×C4×D11—24no—
194C22×C4×D11—24no—
195C22×C4×D11—42no—
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×Dic22C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297#66950—24no—
298#66947—24no—
299#66946—24no—
300#66946—24no—
301#66945—24no—
302#66945—24no—
303#66945—24no—
304#66945—42no—
305#66945—42no—
306#66940—42no—
307#66938—24no—
308#66935—24no—
309(C22⋊D11)⋊C4—42no—
310C22⋊C4×D11—24no—
311C22⋊C4×D11—24no—
312#66932—24no—
313C42×D11—24no—
314C42×D11—42no—
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
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363#34806—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C23×D11—22no—
366C23×D11—22no—
367C23×D11—22no—
368C23×D11—22no—
369C23×D11—22no—
370C23×D11—41no—
371C23×D11—41no—
372C23×D11C2411yescharacteristic
373C23×D11C2411yescharacteristic
374C23×D11C2411yescharacteristic
375C22×C4×C11—22no—
376C22×C4×C11—22no—
377C22×C4×C11—41no—
378C22×C4×C11C2411yescharacteristic
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—41no—
395C22×Dic11—22no—
396C22×Dic11—22no—
397C22×Dic11—22no—
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C2×D44—22no—
412C2×D44—22no—
413C2×D44—22no—
414C2×D44—22no—
415C2×D44—22no—
416C2×D44—41no—
417C2×C4×D11—22no—
418C2×C4×D11—22no—
419C2×C4×D11—22no—
420C2×C4×D11—22no—
421C2×C4×D11—22no—
422C2×C4×D11—22no—
423C2×C4×D11—22no—
424C2×C4×D11—22no—
425C2×C4×D11—22no—
426C2×C4×D11—22no—
427C2×C4×D11—22no—
428C2×C4×D11—22no—
429C2×C4×D11—22no—
430C2×C4×D11—22no—
431C2×C4×D11—22no—
432C2×C4×D11—22no—
433C2×C4×D11—22no—
434C2×C4×D11—22no—
435C2×C4×D11—41no—
436C2×C4×D11—41no—
437C2×C4×D11—41no—
438C2×C4×D11—41no—
439C2×C4×D11—41no—
440C2×C4×D11—41no—
441C2×C4×D11—416no—
442C2×C4×D11#4114yes—
443C2×C4×D11#4114yes—
444C2×C4×D11#4114yes—
445C2×Dic22—22no—
446C2×Dic22—22no—
447C2×Dic22—41no—
448C11×C4⋊C4—22no—
449C11×C4⋊C4—22no—
450C11×C4⋊C4—22no—
451C11×C4⋊C4—22no—
452C11×C4⋊C4—22no—
453C11×C4⋊C4—22no—
454C11×C4⋊C4—22no—
455C11×C4⋊C4—41no—
456C11×C4⋊C4—41no—
457C11×C4⋊C4—41no—
458C11×C4⋊C4—41no—
459C11×C4⋊C4—41no—
460C11×C22⋊C4—22no—
461C11×C22⋊C4—22no—
462C11×C22⋊C4—41no—
463C11×C22⋊C4—41no—
464C11×C22⋊C4—41no—
465C11×C22⋊C4#4114yes—
466C42×C11—22no—
467C42×C11—41no—
468C42×C11—41no—
469C42×C11—41no—
470C22⋊Dic11—22no—
471C22⋊Dic11—22no—
472C22⋊Dic11—22no—
473C22⋊Dic11—22no—
474C22⋊Dic11—22no—
475(C2×D11)⋊C4—22no—
476(C2×D11)⋊C4—22no—
477(C2×D11)⋊C4—22no—
478(C2×D11)⋊C4—22no—
479(C2×D11)⋊C4—22no—
480(C2×D11)⋊C4—22no—
481(C2×D11)⋊C4—22no—
482(C2×D11)⋊C4—22no—
483(C2×D11)⋊C4—22no—
484(C2×D11)⋊C4—22no—
485(C2×D11)⋊C4—22no—
486(C2×D11)⋊C4—22no—
487(C2×D11)⋊C4—22no—
488(C2×D11)⋊C4—22no—
489(C2×D11)⋊C4—22no—
490(C2×D11)⋊C4—22no—
491(C2×D11)⋊C4—22no—
492(C2×D11)⋊C4—22no—
493(C2×D11)⋊C4—22no—
494(C2×D11)⋊C4—22no—
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#4114yes—
504C4⋊Dic11—22no—
505C4⋊Dic11—22no—
506C4⋊Dic11—22no—
507C4⋊Dic11—22no—
508C4⋊Dic11—22no—
509C4⋊Dic11—22no—
510C4⋊Dic11—41no—
511C4⋊Dic11—41no—
512C4⋊Dic11—41no—
513Dic11⋊C4—22no—
514Dic11⋊C4—22no—
515Dic11⋊C4—22no—
516Dic11⋊C4—41no—
517Dic11⋊C4—41no—
518Dic11⋊C4—41no—
519Dic11⋊C4—41no—
520C4×Dic11—22no—
521C4×Dic11—22no—
522C4×Dic11—22no—
523C4×Dic11—22no—
524C4×Dic11—22no—
525C4×Dic11—22no—
526C4×Dic11—22no—
527C4×Dic11—22no—
528C4×Dic11—22no—
529C4×Dic11—22no—
530C4×Dic11—22no—
531C4×Dic11—22no—
532C4×Dic11—22no—
533C4×Dic11—22no—
534C4×Dic11—22no—
535C4×Dic11—22no—
536C4×Dic11—22no—
537C4×Dic11—22no—
538C4×Dic11—41no—
539#2531—111no—
540#2530—111no—
541#2527—111no—
542#2526—111no—
543#2522D1111yescharacteristic, complemented
544#2521—111no—
545#2516—111no—
546#2515—111no—
547#2510—111no—
548#2505—111no—
549#2498—111no—
550#2482—111no—
551#2480—111no—
552#2472—111no—
553#2438—111no—
554#2411—111no—
555#2401—111no—
556#2396—111no—
557#2395—111no—
558#2395—111no—
559C4×#126—111no—
560C4×#124—111no—
561C4×C22⋊Q8—111no—
562C4×#123—111no—
563C4×#120—111no—
564#2298—111no—
565#2293—111no—
566#2290—111no—
567#2280—111no—
568C4×#117—111no—
569C2×C4×C22⋊C4—111no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11C2×#4112yes—
577C23×C11C2511yescharacteristic
578C22×D11—21no—
579C22×D11—21no—
580C22×D11—21no—
581C22×D11—21no—
582C22×D11—28no—
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—44no—
597C22×D11—44no—
598C22×D11—44no—
599C22×D11—44no—
600C22×D11—44no—
601C22×D11—44no—
602C22×D11C2×#4112yes—
603C22×D11C2×#4112yes—
604C22×D11C2×#4112yes—
605C22×D11C2×#4112yes—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
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—44no—
643C2×C4×C11C2×#4112yes—
644C2×C4×C11C2×#4112yes—
645C2×C4×C11C2×#4112yes—
646C2×C4×C11C2×#4112yes—
647C2×C4×C11C2×#4112yes—
648C2×C4×C11C2×#4112yes—
649C22⋊D11—44no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—44no—
685C2×Dic11C2×#4112yes—
686C2×Dic11C2×#4112yes—
687C2×Dic11C2×#4112yes—
688C2×Dic11C2×#4112yes—
689C2×Dic11H(5,𝔽2)12yes—
690D44—44no—
691D44—44no—
692C4×D11—28no—
693C4×D11—28no—
694C4×D11—28no—
695C4×D11—44no—
696C4×D11—44no—
697C4×D11—44no—
698C4×D11—44no—
699C4×D11—44no—
700C4×D11—44no—
701Dic22—44no—
702C24×C4—111no—
703C2×#126—111no—
704C2×#124—111no—
705C2×#123—111no—
706C2×C22⋊Q8—111no—
707C2×#120—111no—
708C2×C4×Q8—111no—
709C2×C4×D4—111no—
710C2×C4×D4—111no—
711C2×C4×D4—111no—
712C2×#117—111no—
713C2×#117—111no—
714C2×#117—111no—
715C2×#117—111no—
716C2×#117—111no—
717C22×C22⋊C4—111no—
718C22×C22⋊C4—111no—
719C22×C42—111no—
720C22×C42—111no—
721#401—111no—
722#400—111no—
723#400—111no—
724#400—111no—
725#400—111no—
726#400—111no—
727#400—111no—
728#399—111no—
729#399—111no—
730#399C2×D1111yescharacteristic
731#398—111no—
732#398—111no—
733#398C2×D1111yescharacteristic, complemented
734#398C2×D1111yescharacteristic, complemented
735#397—111no—
736#397—111no—
737#397—111no—
738#397—111no—
739#397—111no—
740#397—111no—
741#397—111no—
742#397—111no—
743#397—111no—
744#396—111no—
745#396—111no—
746#396C2×D1111yescharacteristic
747#395—111no—
748#394—111no—
749#394—111no—
750#394—111no—
751#394—111no—
752#393—111no—
753#391—111no—
754#391—111no—
755#390—111no—
756#390—111no—
757#390—111no—
758#389—111no—
759#389C2×D1111yescharacteristic, complemented
760#389C2×D1111yescharacteristic, complemented
761#388—111no—
762#388—111no—
763#388—111no—
764#388—111no—
765#388—111no—
766#388—111no—
767#388—111no—
768#388—111no—
769#388—111no—
770#388—111no—
771#388—111no—
772#388—111no—
773#388—111no—
774#388—111no—
775#388—111no—
776#388—111no—
777#388—111no—
778#388C2×D1111yescharacteristic
779#388C2×D1111yescharacteristic
780#387—111no—
781#387—111no—
782#387—111no—
783#387—111no—
784#387—111no—
785#387—111no—
786#387—111no—
787#387—111no—
788#387—111no—
789#387—111no—
790#387C2×D1111yescharacteristic, complemented
791#387C2×D1111yescharacteristic, complemented
792#387C2×D1111yescharacteristic, complemented
793#386—111no—
794#386—111no—
795#386—111no—
796#386—111no—
797#386—111no—
798#386—111no—
799#385—111no—
800#385—111no—
801#385—111no—
802#385—111no—
803#385—111no—
804#385—111no—
805#385—111no—
806#385C2×D1111yescharacteristic
807#383—111no—
808#382—111no—
809#381—111no—
810#381—111no—
811#381—111no—
812#380—111no—
813#380—111no—
814#380—111no—
815#380—111no—
816#380C2×D1111yescharacteristic
817#379—111no—
818#379—111no—
819#379—111no—
820C4×C4⋊C4—111no—
821C4×C4⋊C4—111no—
822C4×C4⋊C4—111no—
823C4×C4⋊C4—111no—
824C4×C4⋊C4—111no—
825C4×C4⋊C4—111no—
826C4×C4⋊C4—111no—
827C4×C4⋊C4—111no—
828C4×C4⋊C4—111no—
829C4×C4⋊C4C2×D1111yescharacteristic, complemented
830C4×C22⋊C4—111no—
831C4×C22⋊C4—111no—
832C4×C22⋊C4—111no—
833C4×C22⋊C4—111no—
834C4×C22⋊C4—111no—
835C4×C22⋊C4—111no—
836C4×C22⋊C4—111no—
837C4×C22⋊C4—111no—
838C4×C22⋊C4—111no—
839C4×C22⋊C4—111no—
840C4×C22⋊C4—111no—
841C4×C22⋊C4—111no—
842C4×C22⋊C4—111no—
843C4×C22⋊C4—111no—
844C4×C22⋊C4—111no—
845C4×C22⋊C4—111no—
846C4×C22⋊C4—111no—
847C4×C22⋊C4—111no—
848C4×C22⋊C4—111no—
849C4×C22⋊C4C2×D1111yescharacteristic
850#376—111no—
851#376—111no—
852#376—111no—
853C2×#95—111no—
854C2×#95—111no—
855C43—111no—
856C43—111no—
857C22×C11—22no—
858C22×C11—22no—
859C22×C11—22no—
860C22×C11—41no—
861C22×C11—41no—
862C22×C11—41no—
863C22×C11—41no—
864C22×C11C22×#4111yescharacteristic
865C22×C11C22×#4111yescharacteristic
866C22×C11C22×#4111yescharacteristic
867C22×C11C22×#4111yescharacteristic
868C22×C11C22×#4111yescharacteristic
869C22×C11C2×H(5,𝔽2)11yescharacteristic
870C22×C11#58511yescharacteristic
871C2×D11—22no—
872C2×D11—22no—
873C2×D11—22no—
874C2×D11—22no—
875C2×D11—22no—
876C2×D11—22no—
877C2×D11—22no—
878C2×D11—22no—
879C2×D11—22no—
880C2×D11—416no—
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#52914yes—
893C4×C11—22no—
894C4×C11—22no—
895C4×C11—22no—
896C4×C11—22no—
897C4×C11—22no—
898C4×C11—22no—
899C4×C11—41no—
900C4×C11—41no—
901C4×C11—41no—
902C4×C11—41no—
903C4×C11—41no—
904C4×C11—41no—
905C4×C11—41no—
906C4×C11—41no—
907Dic11—22no—
908Dic11—22no—
909Dic11—41no—
910Dic11—41no—
911Dic11—41no—
912Dic11—41no—
913Dic11—41no—
914Dic11—41no—
915Dic11—41no—
916Dic11—41no—
917Dic11—41no—
918Dic11—41no—
919Dic11#55114yes—
920C25—111no—
921C22×Q8—111no—
922C22×D4—111no—
923C22×D4—111no—
924C22×D4—111no—
925C23×C4—111no—
926C23×C4—111no—
927C23×C4—111no—
928C23×C4—111no—
929C23×C4—111no—
930C23×C4—111no—
931C23×C4—111no—
932C23×C4—111no—
933C23×C4—111no—
934C23×C4—111no—
935C23×C4—224no—
936C23×C4—224no—
937C23×C4—442no—
938C23×C4C22×D1111yescharacteristic
939#126—224no—
940#124—224no—
941#123—224no—
942C22⋊Q8—224no—
943#120—224no—
944C4×Q8—442no—
945C4×D4—224no—
946C4×D4—224no—
947C4×D4—442no—
948#117—224no—
949#117—224no—
950#117—224no—
951#117—442no—
952#117—442no—
953C2×C4⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
970C2×C4⋊C4C22×D1111yescharacteristic
971C2×C4⋊C4C22×D1111yescharacteristic
972C2×C4⋊C4C22×D1111yescharacteristic
973C2×C4⋊C4C22×D1111yescharacteristic
974C2×C4⋊C4C22×D1111yescharacteristic
975C2×C4⋊C4C22×D1111yescharacteristic
976C2×C4⋊C4C22×D1111yescharacteristic
977C2×C4⋊C4C22×D1111yescharacteristic
978C2×C4⋊C4C22×D1111yescharacteristic
979C2×C4⋊C4C22×D1111yescharacteristic
980C2×C4⋊C4C22×D1111yescharacteristic
981C2×C22⋊C4—111no—
982C2×C22⋊C4—111no—
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—224no—
1016C2×C22⋊C4—224no—
1017C2×C22⋊C4C22×D1111yescharacteristic
1018C2×C22⋊C4C22×D1111yescharacteristic
1019C2×C22⋊C4C22×D1111yescharacteristic
1020C2×C22⋊C4C22×D1111yescharacteristic
1021C2×C22⋊C4C22×D1111yescharacteristic
1022C2×C22⋊C4C22×D1111yescharacteristic
1023C2×C42—111no—
1024C2×C42—111no—
1025C2×C42—111no—
1026C2×C42—111no—
1027C2×C42—111no—
1028C2×C42—111no—
1029C2×C42—111no—
1030C2×C42—111no—
1031C2×C42—111no—
1032C2×C42—111no—
1033C2×C42—111no—
1034C2×C42—111no—
1035C2×C42—111no—
1036C2×C42—111no—
1037C2×C42—111no—
1038C2×C42—111no—
1039C2×C42—111no—
1040C2×C42—111no—
1041C2×C42—111no—
1042C2×C42—224no—
1043C2×C42—442no—
1044C2×C42C22×D1111yescharacteristic
1045C2×C42C22×D1111yescharacteristic
1046C2×C42C22×D1111yescharacteristic
1047C2×C42C22×D1111yescharacteristic
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#95—111no—
1082#95—111no—
1083#95—111no—
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
1096C2×C11—42no—
1097C2×C11C2×#52911yescharacteristic
1098C2×C11#344411yescharacteristic
1099C2×C11#346011yescharacteristic
1100C2×C11C2×#55111yescharacteristic
1101C2×C11#347511yescharacteristic
1102C2×C11#347511yescharacteristic
1103C2×C11#348111yescharacteristic
1104D11—24no—
1105D11—42no—
1106D11—81no—
1107C24—111no—
1108C24—111no—
1109C24—111no—
1110C24—222no—
1111C24—222no—
1112C24—222no—
1113C24—222no—
1114C24—222no—
1115C24—441no—
1116C24—441no—
1117C24C23×D1111yescharacteristic
1118C2×Q8—222no—
1119C2×Q8—222no—
1120C2×Q8—441no—
1121C2×D4—222no—
1122C2×D4—222no—
1123C2×D4—222no—
1124C2×D4—222no—
1125C2×D4—222no—
1126C2×D4—222no—
1127C2×D4—222no—
1128C2×D4—441no—
1129C2×D4—441no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—41no—
1133C22×C4—111no—
1134C22×C4—111no—
1135C22×C4—111no—
1136C22×C4—114no—
1137C22×C4—114no—
1138C22×C4—114no—
1139C22×C4—111no—
1140C22×C4—111no—
1141C22×C4—111no—
1142C22×C4—111no—
1143C22×C4—111no—
1144C22×C4—111no—
1145C22×C4—111no—
1146C22×C4—111no—
1147C22×C4—111no—
1148C22×C4—111no—
1149C22×C4—222no—
1150C22×C4—222no—
1151C22×C4—222no—
1152C22×C4—222no—
1153C22×C4—222no—
1154C22×C4—222no—
1155C22×C4—222no—
1156C22×C4—222no—
1157C22×C4—222no—
1158C22×C4—222no—
1159C22×C4—222no—
1160C22×C4—222no—
1161C22×C4—222no—
1162C22×C4—222no—
1163C22×C4—222no—
1164C22×C4—222no—
1165C22×C4—222no—
1166C22×C4—222no—
1167C22×C4—222no—
1168C22×C4—222no—
1169C22×C4—222no—
1170C22×C4—441no—
1171C22×C4—441no—
1172C22×C4—441no—
1173C22×C4—441no—
1174C22×C4—441no—
1175C22×C4—441no—
1176C22×C4—4416no—
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
1190C22×C4C23×D1111yescharacteristic
1191C4⋊C4—22no—
1192C4⋊C4—22no—
1193C4⋊C4—22no—
1194C4⋊C4—22no—
1195C4⋊C4—22no—
1196C4⋊C4—22no—
1197C4⋊C4—22no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—222no—
1204C4⋊C4—222no—
1205C4⋊C4—222no—
1206C4⋊C4—222no—
1207C4⋊C4—222no—
1208C4⋊C4—222no—
1209C4⋊C4—222no—
1210C4⋊C4—222no—
1211C4⋊C4—222no—
1212C4⋊C4—441no—
1213C4⋊C4—441no—
1214C4⋊C4—441no—
1215C4⋊C4—441no—
1216C4⋊C4—441no—
1217C4⋊C4—441no—
1218C4⋊C4—441no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4—114no—
1225C22⋊C4—222no—
1226C22⋊C4—222no—
1227C22⋊C4—222no—
1228C22⋊C4—222no—
1229C22⋊C4—222no—
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—222no—
1245C22⋊C4—222no—
1246C22⋊C4—222no—
1247C22⋊C4—222no—
1248C22⋊C4—222no—
1249C22⋊C4—222no—
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#434314yes—
1259C42—22no—
1260C42—41no—
1261C42—41no—
1262C42—41no—
1263C42—222no—
1264C42—222no—
1265C42—222no—
1266C42—222no—
1267C42—222no—
1268C42—222no—
1269C42—222no—
1270C42—222no—
1271C42—222no—
1272C42—222no—
1273C42—222no—
1274C42—222no—
1275C42—222no—
1276C42—222no—
1277C42—222no—
1278C42—222no—
1279C42—222no—
1280C42—222no—
1281C42—441no—
1282C11#3480611yescharacteristic, complemented, Sylow
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—112no—
1290C23—112no—
1291C23—112no—
1292C23—112no—
1293C23—228no—
1294C23—221no—
1295C23—221no—
1296C23—221no—
1297C23—221no—
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—444no—
1312C23—444no—
1313C23—444no—
1314C23—444no—
1315C23—444no—
1316C23—444no—
1317C23C2×#434312yes—
1318C23C24×D1111yescharacteristic
1319Q8—444no—
1320D4—444no—
1321D4—444no—
1322D4—444no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
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—44no—
1360C2×C4—112no—
1361C2×C4—112no—
1362C2×C4—112no—
1363C2×C4—112no—
1364C2×C4—112no—
1365C2×C4—228no—
1366C2×C4—228no—
1367C2×C4—228no—
1368C2×C4—221no—
1369C2×C4—221no—
1370C2×C4—221no—
1371C2×C4—221no—
1372C2×C4—221no—
1373C2×C4—221no—
1374C2×C4—221no—
1375C2×C4—221no—
1376C2×C4—221no—
1377C2×C4—221no—
1378C2×C4—221no—
1379C2×C4—221no—
1380C2×C4—221no—
1381C2×C4—221no—
1382C2×C4—221no—
1383C2×C4—221no—
1384C2×C4—221no—
1385C2×C4—221no—
1386C2×C4—221no—
1387C2×C4—221no—
1388C2×C4—221no—
1389C2×C4—221no—
1390C2×C4—221no—
1391C2×C4—221no—
1392C2×C4—221no—
1393C2×C4—221no—
1394C2×C4—221no—
1395C2×C4—221no—
1396C2×C4—221no—
1397C2×C4—221no—
1398C2×C4—221no—
1399C2×C4—221no—
1400C2×C4—221no—
1401C2×C4—221no—
1402C2×C4—444no—
1403C2×C4—444no—
1404C2×C4—444no—
1405C2×C4—444no—
1406C2×C4—444no—
1407C2×C4—444no—
1408C2×C4—444no—
1409C2×C4C2×#434312yes—
1410C2×C4C2×#434312yes—
1411C2×C4#41×D1112yes—
1412C2×C4#41×D1112yes—
1413C2×C4#41×D1112yes—
1414C2×C4#41×D1112yes—
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—114no—
1423C22—222no—
1424C22—222no—
1425C22—222no—
1426C22—222no—
1427C22—222no—
1428C22—222no—
1429C22—222no—
1430C22—222no—
1431C22—222no—
1432C22—4416no—
1433C22—441no—
1434C22—441no—
1435C22—441no—
1436C22—441no—
1437C22—441no—
1438C22—441no—
1439C22—441no—
1440C22—441no—
1441C22—441no—
1442C22—441no—
1443C22—441no—
1444C22C22×#434311yescharacteristic
1445C22C2×#41×D1111yescharacteristic
1446C22C2×#41×D1111yescharacteristic
1447C22C2×#41×D1111yescharacteristic
1448C22C2×#41×D1111yescharacteristic
1449C22D11×H(5,𝔽2)11yescharacteristic
1450C22#1062345511yescharacteristic
1451C4—22no—
1452C4—22no—
1453C4—22no—
1454C4—22no—
1455C4—22no—
1456C4—22no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—114no—
1466C4—222no—
1467C4—222no—
1468C4—441no—
1469C4—441no—
1470C4—441no—
1471C4—441no—
1472C4—441no—
1473C4—441no—
1474C4—441no—
1475C4—441no—
1476C4—441no—
1477C4—441no—
1478C2—42no—
1479C2—224no—
1480C2—442no—
1481C2—881no—
1482C2D11×#52911yescharacteristic
1483C2#1308191311yescharacteristic
1484C2#1308203111yescharacteristic
1485C2D11×#55111yescharacteristic
1486C2#1308217511yescharacteristic
1487C2#1308218211yescharacteristic
1488C2#1308222711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2522C2
prime radicalC2×#66935C22
hypercenter#2522D11
hypocenterC11#34806
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2522

Complements

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

NH ≅ G/Ntype
1. #13073459C2semidirect
2. #13073452C2semidirect
3. #13073401C2semidirect
4. #13073394C2semidirect
5. #13073319C2semidirect
6. #13073244C2semidirect
7. #13073237C2semidirect
8. #13073173C2semidirect
9. #13073122C2semidirect
10. #13073061C2semidirect
11. #13072891C2semidirect
12. #13072860C2semidirect
14. #13072293C2semidirect
16. #13071918C2semidirect
17. #13071893C2semidirect
18. #13071881C2semidirect
19. #13071880C2semidirect
20. #13071170C2semidirect
21. #13071157C2semidirect
22. #13071146C2semidirect
23. #13071137C2semidirect
25. #13071108C2semidirect
26. #13071074C2semidirect
27. #13071054C2semidirect
28. #13070998C2semidirect
29. C4×#66945C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2522C2semidirect
41. C2×#66945C22semidirect
42. C2×#66940C22semidirect
52. C11×#398C22semidirect
53. C11×#398C22semidirect
55. C11×#389C22semidirect
56. C11×#389C22semidirect
59. C11×#387C22semidirect
60. C11×#387C22semidirect
61. C11×#387C22semidirect
64. C4×C11×C4⋊C4C22semidirect
71. #10622606C22semidirect
72. #10622606C22semidirect
73. #10622606C22semidirect
79. #10622603C22semidirect
80. #10622603C22semidirect
90. #10622599C22semidirect
91. #10622599C22semidirect
92. #10622599C22semidirect
93. #10622599C22semidirect
94. #10622598C22semidirect
95. #10622597C22semidirect
96. #10622595C22semidirect
97. #10622594C22semidirect
98. #10622594C22semidirect
99. #10622591C22semidirect
100. #10622591C22semidirect
101. C4⋊C4×Dic11C22semidirect
102. C4⋊C4×Dic11C22semidirect
103. C4⋊C4×Dic11C22semidirect
104. C4⋊C4×Dic11C22semidirect
105. C4⋊C4×Dic11C22semidirect
106. C4⋊C4×Dic11C22semidirect
126. #10622553C22semidirect
127. #10622553C22semidirect
128. #10622553C22semidirect
134. C4×C4⋊Dic11C22semidirect
135. #10622546C22semidirect
136. C42×Dic11C22semidirect
137. C42×Dic11C22semidirect
138. #10622542C22semidirect
139. #10622290C22semidirect
145. #10622283C22semidirect
146. #10622283C22semidirect
148. #10622282C22semidirect
157. #10622279C22semidirect
158. #10622279C22semidirect
159. #10622279C22semidirect
170. C11⋊#401C22semidirect
171. #10622274C22semidirect
172. #10622273C22semidirect
173. #10622269C22semidirect
174. #10622267C22semidirect
175. #10622267C22semidirect
176. #10622267C22semidirect
177. #10622267C22semidirect
178. #10622266C22semidirect
179. #10622264C22semidirect
180. #10622263C22semidirect
181. #10622262C22semidirect
182. #10622262C22semidirect
183. #10622261C22semidirect
184. #10622261C22semidirect
185. #10622261C22semidirect
186. #10622259C22semidirect
543. #2522D11semidirect
733. #398C2×D11semidirect
734. #398C2×D11semidirect
759. #389C2×D11semidirect
760. #389C2×D11semidirect
790. #387C2×D11semidirect
791. #387C2×D11semidirect
792. #387C2×D11semidirect
829. C4×C4⋊C4C2×D11semidirect
1282. C11#34806semidirect

Maximal subgroups

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

subgroupindex
#130734592
#130734522
#130734012
#130733942
#130733192
#130732442
#130732372
#130731732
#130731222
#130730612
#130728912
#130728602
#130727402
#130722932
#130719962
#130719182
#130718932
#130718812
#130718802
#130711702
#130711572
#130711462
#130711372
#130711172
#130711082
#130710742
#130710542
#130709982
C4×#669452
C4×C22⋊C4×D112
C11×#25222
#3480611