Finite Group Databasebeta

← #14924789

Subgroups — #14924789

Order 2816.

1870 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13073887C211yesmaximal, characteristic, complemented
2#13073886C211yesmaximal, characteristic, complemented
3#13073874C211yesmaximal, characteristic, complemented
4#13073873C211yesmaximal, characteristic, complemented
5#13073863C211yesmaximal, characteristic, complemented
6#13073862C211yesmaximal, characteristic, complemented
7#13073666C211yesmaximal, characteristic, complemented
8#13073665C211yesmaximal, characteristic, complemented
9#13073353C211yesmaximal, characteristic, complemented
10#13073352C211yesmaximal, characteristic, complemented
11#13073228C211yesmaximal, characteristic, complemented
12#13072685C211yesmaximal, characteristic, complemented
13#13072684C211yesmaximal, characteristic, complemented
14#13072524C211yesmaximal, characteristic
15#13072523C211yesmaximal, characteristic
16#13071920C211yesmaximal, characteristic, complemented
17#13071905C211yesmaximal, characteristic, complemented
18#13071891C211yesmaximal, characteristic, complemented
19#13071853C211yesmaximal, characteristic
20#13071166C211yesmaximal, characteristic, complemented
21#13071166C211yesmaximal, characteristic, complemented
22#13071135C211yesmaximal, characteristic, complemented
23#13071133C211yesmaximal, characteristic, complemented
24#13071089C211yesmaximal, characteristic, complemented
25#13071058C211yesmaximal, characteristic, complemented
26#13071058C211yesmaximal, characteristic, complemented
27#13071013C211yesmaximal, characteristic, complemented
28#13071009C211yesmaximal, characteristic, complemented
29C4×#66946C211yesmaximal, characteristic, complemented
30C4×#66930C211yesmaximal, characteristic, complemented
31C11×#2515C211yesmaximal, characteristic, complemented
32C2×#66982C2211yescharacteristic
33C22×C4×Dic11C2211yescharacteristic
34C2×#66951C2211yescharacteristic
35C2×#66951C2211yescharacteristic
36C2×#66946C2211yescharacteristic
37C2×#66946C2211yescharacteristic
38C2×#66940C2211yescharacteristic
39C2×#66939C2211yescharacteristic
40C2×(C22⋊D11)⋊C4C2211yescharacteristic
41C2×(C22⋊D11)⋊C4C2211yescharacteristic
42C2×#66930C2211yescharacteristic
43C2×#66930C2211yescharacteristic
44C2×C4×D44C2211yescharacteristic
45C2×C42×D11C2211yescharacteristic
46C2×C42×D11C2211yescharacteristic
47C11×#400C2211yescharacteristic
48C11×#398C2211yescharacteristic
49C11×#397C2211yescharacteristic
50C11×#396C2211yescharacteristic
51C11×#388C2211yescharacteristic
52C11×#388C2211yescharacteristic
53C11×#387C2211yescharacteristic
54C11×#387C2211yescharacteristic
55C11×#387C2211yescharacteristic
56C11×#385C2211yescharacteristic
57C11×#383C2211yescharacteristic
58C11×#382C2211yescharacteristic
59C11×#381C2211yescharacteristic
60C4×C11×C4⋊C4C2211yescharacteristic
61C4×C11×C22⋊C4C2211yescharacteristic
62#10622826C2211yescharacteristic
63C4×C22⋊Dic11C2211yescharacteristic
64#10622604C2211yescharacteristic
65#10622603C2211yescharacteristic
66#10622603C2211yescharacteristic
67#10622603C2211yescharacteristic
68#10622603C2211yescharacteristic
69#10622602C2211yescharacteristic
70#10622602C2211yescharacteristic
71#10622600C2211yescharacteristic
72#10622600C2211yescharacteristic
73#10622599C2211yescharacteristic
74#10622597C2211yescharacteristic
75#10622597C2211yescharacteristic
76#10622596C2211yescharacteristic
77#10622596C2211yescharacteristic
78#10622595C2211yescharacteristic
79#10622595C2211yescharacteristic
80#10622594C2211yescharacteristic
81#10622593C2211yescharacteristic
82#10622592C2211yescharacteristic
83C4⋊C4×Dic11C2211yescharacteristic
84C4⋊C4×Dic11C2211yescharacteristic
85C4⋊C4×Dic11C2211yescharacteristic
86C4⋊C4×Dic11C2211yescharacteristic
87C4⋊C4×Dic11C2211yescharacteristic
88C4⋊C4×Dic11C2211yescharacteristic
89C4⋊C4×Dic11C2211yescharacteristic
90#10622585C2211yescharacteristic
91#10622573C2211yescharacteristic
92#10622572C2211yescharacteristic
93#10622572C2211yescharacteristic
94#10622571C2211yescharacteristic
95#10622569C2211yescharacteristic
96#10622569C2211yescharacteristic
97#10622569C2211yescharacteristic
98#10622569C2211yescharacteristic
99#10622564C2211yescharacteristic
100#10622564C2211yescharacteristic
101#10622562C2211yescharacteristic
102#10622561C2211yescharacteristic
103#10622560C2211yescharacteristic
104#10622559C2211yescharacteristic
105#10622556C2211yescharacteristic
106C22⋊C4×Dic11C2211yescharacteristic
107C22⋊C4×Dic11C2211yescharacteristic
108C22⋊C4×Dic11C2211yescharacteristic
109C22⋊C4×Dic11C2211yescharacteristic
110#10622553C2211yescharacteristic
111#10622553C2211yescharacteristic
112C4×(C2×D11)⋊C4C2211yescharacteristic
113C4×(C2×D11)⋊C4C2211yescharacteristic
114#10622550C2211yescharacteristic
115#10622549C2211yescharacteristic
116#10622546C2211yescharacteristic
117#10622546C2211yescharacteristic
118#10622546C2211yescharacteristic
119C4×Dic11⋊C4C2211yescharacteristic
120C4×Dic11⋊C4C2211yescharacteristic
121C42×Dic11C2211yescharacteristic
122C42×Dic11C2211yescharacteristic
123#10622289C2211yescharacteristic
124#10622289C2211yescharacteristic
125#10622288C2211yescharacteristic
126#10622288C2211yescharacteristic
127#10622286C2211yescharacteristic
128#10622286C2211yescharacteristic
129#10622285C2211yescharacteristic
130#10622285C2211yescharacteristic
131#10622283C2211yescharacteristic
132#10622283C2211yescharacteristic
133#10622282C2211yescharacteristic
134#10622282C2211yescharacteristic
135#10622281C2211yescharacteristic
136#10622281C2211yescharacteristic
137#10622280C2211yescharacteristic
138#10622280C2211yescharacteristic
139#10622279C2211yescharacteristic
140#10622279C2211yescharacteristic
141#10622279C2211yescharacteristic
142#10622279C2211yescharacteristic
143#10622279C2211yescharacteristic
144#10622279C2211yescharacteristic
145#10622279C2211yescharacteristic
146#10622279C2211yescharacteristic
147#10622279C2211yescharacteristic
148#10622279C2211yescharacteristic
149#10622277C2211yescharacteristic
150#10622277C2211yescharacteristic
151#10622277C2211yescharacteristic
152#10622277C2211yescharacteristic
153#10622274C2211yescharacteristic
154#10622273C2211yescharacteristic
155#10622272C2211yescharacteristic
156#10622271C2211yescharacteristic
157#10622268C2211yescharacteristic
158#10622268C2211yescharacteristic
159#10622267C2211yescharacteristic
160#10622267C2211yescharacteristic
161#10622266C2211yescharacteristic
162#10622266C2211yescharacteristic
163#10622265C2211yescharacteristic
164#10622265C2211yescharacteristic
165#10622265C2211yescharacteristic
166#10622265C2211yescharacteristic
167#10622265C2211yescharacteristic
168#10622264C2211yescharacteristic
169#10622264C2211yescharacteristic
170#10622264C2211yescharacteristic
171#10622264C2211yescharacteristic
172#10622263C2211yescharacteristic
173#10622263C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622262C2211yescharacteristic
180#10622261C2211yescharacteristic
181#10622261C2211yescharacteristic
182#10622261C2211yescharacteristic
183#10622261C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C23×C4×C11C2311yescharacteristic
188C22×C22⋊D11C2311yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C23×Dic11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C22×D44C2311yescharacteristic
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×Dic22C2311yescharacteristic
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
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×C42×C11C2311yescharacteristic
215C2×C42×C11C2311yescharacteristic
216C2×C42×C11C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C22⋊Dic11C2311yescharacteristic
219C2×C22⋊Dic11C2311yescharacteristic
220C2×C22⋊Dic11C2311yescharacteristic
221C2×C22⋊Dic11C2311yescharacteristic
222#66982—24no—
223C2×(C2×D11)⋊C4C2311yescharacteristic
224C2×(C2×D11)⋊C4C2311yescharacteristic
225C2×(C2×D11)⋊C4C2311yescharacteristic
226C2×(C2×D11)⋊C4C2311yescharacteristic
227C2×(C2×D11)⋊C4C2311yescharacteristic
228C2×(C2×D11)⋊C4C2311yescharacteristic
229C2×(C2×D11)⋊C4C2311yescharacteristic
230C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
244C2×C4⋊Dic11C2311yescharacteristic
245C2×C4⋊Dic11C2311yescharacteristic
246C2×C4⋊Dic11C2311yescharacteristic
247C2×C4⋊Dic11C2311yescharacteristic
248C2×C4⋊Dic11C2311yescharacteristic
249C2×Dic11⋊C4C2311yescharacteristic
250C2×Dic11⋊C4C2311yescharacteristic
251C2×Dic11⋊C4C2311yescharacteristic
252C2×Dic11⋊C4C2311yescharacteristic
253C2×Dic11⋊C4C2311yescharacteristic
254C2×Dic11⋊C4C2311yescharacteristic
255C2×Dic11⋊C4C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×Dic11⋊C4C2311yescharacteristic
258C2×Dic11⋊C4C2311yescharacteristic
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×C4×Dic11—24no—
266C2×C4×Dic11C2311yescharacteristic
267C2×C4×Dic11C2311yescharacteristic
268C2×C4×Dic11C2311yescharacteristic
269C2×C4×Dic11C2311yescharacteristic
270C2×C4×Dic11C2311yescharacteristic
271C2×C4×Dic11C2311yescharacteristic
272C2×C4×Dic11C2311yescharacteristic
273C2×C4×Dic11C2311yescharacteristic
274C2×C4×Dic11C2311yescharacteristic
275C2×C4×Dic11C2311yescharacteristic
276C2×C4×Dic11C2311yescharacteristic
277C2×C4×Dic11C2311yescharacteristic
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288#66951—24no—
289#66951—24no—
290#66946—24no—
291#66946—24no—
292#66940—24no—
293#66939—24no—
294(C22⋊D11)⋊C4—24no—
295(C22⋊D11)⋊C4—24no—
296#66930—24no—
297#66930—24no—
298C4×D44—24no—
299C42×D11—24no—
300C42×D11—24no—
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#34879—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C23×D11C2411yescharacteristic
360C23×D11C2411yescharacteristic
361C22×C4×C11—22no—
362C22×C4×C11—22no—
363C22×C4×C11—41no—
364C22×C4×C11C2411yescharacteristic
365C22×C4×C11C2411yescharacteristic
366C22×C4×C11C2411yescharacteristic
367C22×C4×C11C2411yescharacteristic
368C22×C4×C11C2411yescharacteristic
369C22×C4×C11C2411yescharacteristic
370C22×C4×C11C2411yescharacteristic
371C22×C4×C11C2411yescharacteristic
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C2×C22⋊D11—22no—
379C2×C22⋊D11—22no—
380C2×C22⋊D11—22no—
381C2×C22⋊D11—22no—
382C2×C22⋊D11—41no—
383C2×C22⋊D11—41no—
384C22×Dic11—22no—
385C22×Dic11—22no—
386C22×Dic11—22no—
387C22×Dic11—22no—
388C22×Dic11—41no—
389C22×Dic11#4114yes—
390C22×Dic11C2411yescharacteristic
391C22×Dic11C2411yescharacteristic
392C22×Dic11C2411yescharacteristic
393C22×Dic11C2411yescharacteristic
394C22×Dic11C2411yescharacteristic
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C2×D44—22no—
405C2×D44—22no—
406C2×D44—22no—
407C2×C4×D11—22no—
408C2×C4×D11—22no—
409C2×C4×D11—22no—
410C2×C4×D11—22no—
411C2×C4×D11—22no—
412C2×C4×D11—22no—
413C2×C4×D11—22no—
414C2×C4×D11—22no—
415C2×C4×D11—22no—
416C2×C4×D11—22no—
417C2×C4×D11—22no—
418C2×C4×D11—22no—
419C2×C4×D11—22no—
420C2×C4×D11—22no—
421C2×C4×D11—41no—
422C2×C4×D11—41no—
423C2×C4×D11—41no—
424C2×C4×D11—41no—
425C2×Dic22—22no—
426C2×Dic22—41no—
427C2×Dic22—41no—
428C11×C4⋊C4—22no—
429C11×C4⋊C4—22no—
430C11×C4⋊C4—22no—
431C11×C4⋊C4—22no—
432C11×C4⋊C4—22no—
433C11×C4⋊C4—41no—
434C11×C4⋊C4—41no—
435C11×C4⋊C4—41no—
436C11×C22⋊C4—22no—
437C11×C22⋊C4—22no—
438C11×C22⋊C4—22no—
439C11×C22⋊C4—22no—
440C11×C22⋊C4—22no—
441C11×C22⋊C4—41no—
442C42×C11—22no—
443C42×C11—22no—
444C42×C11—22no—
445C42×C11—41no—
446C22⋊Dic11—22no—
447C22⋊Dic11—22no—
448C22⋊Dic11—22no—
449C22⋊Dic11—41no—
450(C2×D11)⋊C4—22no—
451(C2×D11)⋊C4—22no—
452(C2×D11)⋊C4—22no—
453(C2×D11)⋊C4—22no—
454(C2×D11)⋊C4—22no—
455(C2×D11)⋊C4—22no—
456(C2×D11)⋊C4—22no—
457(C2×D11)⋊C4—22no—
458(C2×D11)⋊C4—22no—
459(C2×D11)⋊C4—22no—
460(C2×D11)⋊C4—22no—
461(C2×D11)⋊C4—22no—
462(C2×D11)⋊C4—41no—
463(C2×D11)⋊C4—41no—
464(C2×D11)⋊C4—41no—
465(C2×D11)⋊C4—41no—
466(C2×D11)⋊C4—41no—
467(C2×D11)⋊C4—41no—
468(C2×D11)⋊C4#4114yes—
469(C2×D11)⋊C4#4114yes—
470C4⋊Dic11—22no—
471C4⋊Dic11—22no—
472C4⋊Dic11—22no—
473C4⋊Dic11—22no—
474C4⋊Dic11—22no—
475C4⋊Dic11—41no—
476Dic11⋊C4—22no—
477Dic11⋊C4—22no—
478Dic11⋊C4—22no—
479Dic11⋊C4—22no—
480Dic11⋊C4—22no—
481Dic11⋊C4—22no—
482Dic11⋊C4—22no—
483Dic11⋊C4—22no—
484Dic11⋊C4—22no—
485Dic11⋊C4—22no—
486Dic11⋊C4—22no—
487Dic11⋊C4—22no—
488Dic11⋊C4—41no—
489Dic11⋊C4—41no—
490Dic11⋊C4—41no—
491Dic11⋊C4—41no—
492C4×Dic11—22no—
493C4×Dic11—22no—
494C4×Dic11—22no—
495C4×Dic11—22no—
496C4×Dic11—22no—
497C4×Dic11—22no—
498C4×Dic11—22no—
499C4×Dic11—22no—
500C4×Dic11—22no—
501C4×Dic11—22no—
502C4×Dic11—22no—
503C4×Dic11—22no—
504C4×Dic11—22no—
505C4×Dic11—22no—
506C4×Dic11—22no—
507C4×Dic11—22no—
508C4×Dic11—22no—
509C4×Dic11—41no—
510C4×Dic11—41no—
511C4×Dic11—41no—
512C4×Dic11#4114yes—
513C4×Dic11#4114yes—
514#2574—111no—
515#2574—111no—
516#2573—111no—
517#2573—111no—
518#2572—111no—
519#2572—111no—
520#2553—111no—
521#2553—111no—
522#2524—111no—
523#2524—111no—
524#2515—111no—
525#2515D1111yescharacteristic, complemented
526#2468—111no—
527#2468—111no—
528#2457—111no—
529#2457—111no—
530#2402—111no—
531#2398—111no—
532#2396—111no—
533#2392—111no—
534C4×#126—111no—
535C4×#126—111no—
536C4×#123—111no—
537C4×#123—111no—
538#2295—111no—
539#2290—111no—
540#2290—111no—
541#2283—111no—
542#2283—111no—
543C42×D4—111no—
544C4×#117—111no—
545C23×C11—21no—
546C23×C11—21no—
547C23×C11—21no—
548C23×C11—21no—
549C23×C11—21no—
550C23×C11—21no—
551C23×C11C2×#4112yes—
552C23×C11C2511yescharacteristic
553C22×D11—21no—
554C22×D11—21no—
555C22×D11—21no—
556C22×D11—21no—
557C22×D11—21no—
558C22×D11—21no—
559C22×D11—21no—
560C22×D11—21no—
561C22×D11—21no—
562C22×D11—21no—
563C22×D11—21no—
564C22×D11—21no—
565C22×D11C2×#4112yes—
566C22×D11C2×#4112yes—
567C2×C4×C11—21no—
568C2×C4×C11—21no—
569C2×C4×C11—21no—
570C2×C4×C11—21no—
571C2×C4×C11—21no—
572C2×C4×C11—21no—
573C2×C4×C11—21no—
574C2×C4×C11—21no—
575C2×C4×C11—21no—
576C2×C4×C11—21no—
577C2×C4×C11—21no—
578C2×C4×C11—21no—
579C2×C4×C11—21no—
580C2×C4×C11—21no—
581C2×C4×C11—21no—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—44no—
606C2×C4×C11C2×#4112yes—
607C2×C4×C11C2×#4112yes—
608C2×C4×C11C2×#4112yes—
609C2×C4×C11C2×#4112yes—
610C22⋊D11—44no—
611C22⋊D11—44no—
612C2×Dic11—21no—
613C2×Dic11—21no—
614C2×Dic11—21no—
615C2×Dic11—21no—
616C2×Dic11—21no—
617C2×Dic11—21no—
618C2×Dic11—21no—
619C2×Dic11—21no—
620C2×Dic11—21no—
621C2×Dic11—21no—
622C2×Dic11—28no—
623C2×Dic11—21no—
624C2×Dic11—21no—
625C2×Dic11—21no—
626C2×Dic11—21no—
627C2×Dic11—21no—
628C2×Dic11—21no—
629C2×Dic11—21no—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—44no—
648C2×Dic11C2×#4112yes—
649C2×Dic11C2×#4112yes—
650C2×Dic11C2×#4112yes—
651C2×Dic11C2×#4112yes—
652C2×Dic11C2×#4112yes—
653C2×Dic11C2×#4112yes—
654C2×Dic11C2×#4112yes—
655C2×Dic11C2×#4112yes—
656D44—28no—
657C4×D11—44no—
658C4×D11—44no—
659C4×D11—44no—
660C4×D11—44no—
661C4×D11—44no—
662C4×D11—44no—
663Dic22—44no—
664C2×#126—111no—
665C2×#126—111no—
666C2×#123—111no—
667C2×#123—111no—
668C2×C4×Q8—111no—
669C2×C4×D4—111no—
670C2×C4×D4—111no—
671C2×C4×D4—111no—
672C2×C4×D4—111no—
673C2×C4×D4—111no—
674C2×#117—111no—
675C2×#117—111no—
676C22×C42—111no—
677C22×C42—111no—
678C22×C42—111no—
679#400—111no—
680#400—111no—
681#400—111no—
682#400—111no—
683#400—111no—
684#400—111no—
685#400C2×D1111yescharacteristic
686#399—111no—
687#398—111no—
688#398—111no—
689#398—111no—
690#398—111no—
691#398—111no—
692#398—111no—
693#398C2×D1111yescharacteristic
694#397—111no—
695#397—111no—
696#397C2×D1111yescharacteristic
697#396—111no—
698#396—111no—
699#396—111no—
700#396C2×D1111yescharacteristic
701#395—111no—
702#394—111no—
703#394—111no—
704#394—111no—
705#394—111no—
706#394—111no—
707#393—111no—
708#393—111no—
709#393—111no—
710#392—111no—
711#391—111no—
712#391—111no—
713#389—111no—
714#389—111no—
715#388—111no—
716#388—111no—
717#388—111no—
718#388—111no—
719#388—111no—
720#388—111no—
721#388—111no—
722#388—111no—
723#388—111no—
724#388—111no—
725#388—111no—
726#388—111no—
727#388C2×D1111yescharacteristic
728#388C2×D1111yescharacteristic
729#387—111no—
730#387—111no—
731#387—111no—
732#387—111no—
733#387—111no—
734#387—111no—
735#387—111no—
736#387—111no—
737#387—111no—
738#387—111no—
739#387—111no—
740#387—111no—
741#387—111no—
742#387—111no—
743#387—111no—
744#387C2×D1111yescharacteristic
745#387C2×D1111yescharacteristic
746#387C2×D1111yescharacteristic
747#386—111no—
748#386—111no—
749#386—111no—
750#386—111no—
751#386—111no—
752#386—111no—
753#385—111no—
754#385—111no—
755#385—111no—
756#385—111no—
757#385—111no—
758#385C2×D1111yescharacteristic
759#383—111no—
760#383—111no—
761#383—111no—
762#383—111no—
763#383—111no—
764#383C2×D1111yescharacteristic
765#382—111no—
766#382—111no—
767#382—111no—
768#382C2×D1111yescharacteristic
769#381—111no—
770#381—111no—
771#381—111no—
772#381—111no—
773#381—111no—
774#381C2×D1111yescharacteristic
775#380—111no—
776#380—111no—
777#380—111no—
778#380—111no—
779C4×C4⋊C4—111no—
780C4×C4⋊C4—111no—
781C4×C4⋊C4—111no—
782C4×C4⋊C4—111no—
783C4×C4⋊C4—111no—
784C4×C4⋊C4—111no—
785C4×C4⋊C4—111no—
786C4×C4⋊C4—111no—
787C4×C4⋊C4—111no—
788C4×C4⋊C4—111no—
789C4×C4⋊C4—111no—
790C4×C4⋊C4—111no—
791C4×C4⋊C4—111no—
792C4×C4⋊C4—111no—
793C4×C4⋊C4—111no—
794C4×C4⋊C4C2×D1111yescharacteristic
795C4×C22⋊C4—111no—
796C4×C22⋊C4—111no—
797C4×C22⋊C4—111no—
798C4×C22⋊C4—111no—
799C4×C22⋊C4—111no—
800C4×C22⋊C4—111no—
801C4×C22⋊C4—111no—
802C4×C22⋊C4—111no—
803C4×C22⋊C4—111no—
804C4×C22⋊C4—111no—
805C4×C22⋊C4—111no—
806C4×C22⋊C4—111no—
807C4×C22⋊C4—111no—
808C4×C22⋊C4—111no—
809C4×C22⋊C4—111no—
810C4×C22⋊C4—111no—
811C4×C22⋊C4—111no—
812C4×C22⋊C4C2×D1111yescharacteristic
813#376—111no—
814#376—111no—
815#376—111no—
816#376—111no—
817C43—111no—
818C43—111no—
819C22×C11—22no—
820C22×C11—22no—
821C22×C11—22no—
822C22×C11—41no—
823C22×C11—41no—
824C22×C11—41no—
825C22×C11—41no—
826C22×C11C22×#4111yescharacteristic
827C22×C11C22×#4111yescharacteristic
828C22×C11C22×#4111yescharacteristic
829C22×C11C22×#4111yescharacteristic
830C22×C11C22×#4111yescharacteristic
831C22×C11#58511yescharacteristic
832C22×C11#58511yescharacteristic
833C2×D11—22no—
834C2×D11—22no—
835C2×D11—22no—
836C2×D11—22no—
837C2×D11—22no—
838C2×D11—22no—
839C2×D11—41no—
840C2×D11—41no—
841C2×D11—41no—
842C2×D11—41no—
843C2×D11—41no—
844C2×D11—41no—
845C2×D11—41no—
846C2×D11—41no—
847C4×C11—22no—
848C4×C11—22no—
849C4×C11—22no—
850C4×C11—22no—
851C4×C11—41no—
852C4×C11—41no—
853C4×C11—41no—
854C4×C11—41no—
855C4×C11—41no—
856C4×C11—41no—
857C4×C11—41no—
858C4×C11—41no—
859C4×C11—41no—
860C4×C11—41no—
861Dic11—22no—
862Dic11—22no—
863Dic11—22no—
864Dic11—22no—
865Dic11—22no—
866Dic11—41no—
867Dic11—41no—
868Dic11—41no—
869Dic11—41no—
870Dic11—41no—
871Dic11—41no—
872Dic11—41no—
873Dic11—41no—
874Dic11#52914yes—
875C22×Q8—111no—
876C22×D4—111no—
877C22×D4—111no—
878C22×D4—111no—
879C23×C4—111no—
880C23×C4—111no—
881C23×C4—111no—
882C23×C4—111no—
883C23×C4—111no—
884C23×C4—111no—
885C23×C4—111no—
886C23×C4—111no—
887C23×C4C22×D1111yescharacteristic
888#126—224no—
889#126—224no—
890#123—224no—
891#123—224no—
892C4×Q8—224no—
893C4×D4—224no—
894C4×D4—224no—
895C4×D4—224no—
896C4×D4—224no—
897C4×D4—224no—
898#117—224no—
899#117—224no—
900C2×C4⋊C4—111no—
901C2×C4⋊C4—111no—
902C2×C4⋊C4—111no—
903C2×C4⋊C4—111no—
904C2×C4⋊C4—111no—
905C2×C4⋊C4—111no—
906C2×C4⋊C4—111no—
907C2×C4⋊C4—111no—
908C2×C4⋊C4—111no—
909C2×C4⋊C4—111no—
910C2×C4⋊C4—111no—
911C2×C4⋊C4—111no—
912C2×C4⋊C4—111no—
913C2×C4⋊C4—111no—
914C2×C4⋊C4—111no—
915C2×C4⋊C4—111no—
916C2×C4⋊C4—111no—
917C2×C4⋊C4—111no—
918C2×C4⋊C4—111no—
919C2×C4⋊C4—111no—
920C2×C4⋊C4—111no—
921C2×C4⋊C4—111no—
922C2×C4⋊C4C22×D1111yescharacteristic
923C2×C4⋊C4C22×D1111yescharacteristic
924C2×C4⋊C4C22×D1111yescharacteristic
925C2×C4⋊C4C22×D1111yescharacteristic
926C2×C4⋊C4C22×D1111yescharacteristic
927C2×C4⋊C4C22×D1111yescharacteristic
928C2×C4⋊C4C22×D1111yescharacteristic
929C2×C4⋊C4C22×D1111yescharacteristic
930C2×C22⋊C4—111no—
931C2×C22⋊C4—111no—
932C2×C22⋊C4—111no—
933C2×C22⋊C4—111no—
934C2×C22⋊C4—111no—
935C2×C22⋊C4—111no—
936C2×C22⋊C4—111no—
937C2×C22⋊C4—111no—
938C2×C22⋊C4—111no—
939C2×C22⋊C4—111no—
940C2×C22⋊C4—111no—
941C2×C22⋊C4—111no—
942C2×C22⋊C4—111no—
943C2×C22⋊C4—111no—
944C2×C22⋊C4—111no—
945C2×C22⋊C4—111no—
946C2×C22⋊C4—111no—
947C2×C22⋊C4—111no—
948C2×C22⋊C4—111no—
949C2×C22⋊C4—111no—
950C2×C22⋊C4—111no—
951C2×C22⋊C4—111no—
952C2×C22⋊C4—111no—
953C2×C22⋊C4—111no—
954C2×C22⋊C4C22×D1111yescharacteristic
955C2×C22⋊C4C22×D1111yescharacteristic
956C2×C22⋊C4C22×D1111yescharacteristic
957C2×C22⋊C4C22×D1111yescharacteristic
958C2×C22⋊C4C22×D1111yescharacteristic
959C2×C22⋊C4C22×D1111yescharacteristic
960C2×C42—111no—
961C2×C42—111no—
962C2×C42—111no—
963C2×C42—111no—
964C2×C42—111no—
965C2×C42—111no—
966C2×C42—111no—
967C2×C42—111no—
968C2×C42—111no—
969C2×C42—111no—
970C2×C42—111no—
971C2×C42—111no—
972C2×C42—111no—
973C2×C42—111no—
974C2×C42—111no—
975C2×C42—111no—
976C2×C42—111no—
977C2×C42—111no—
978C2×C42—111no—
979C2×C42—111no—
980C2×C42—111no—
981C2×C42—111no—
982C2×C42—224no—
983C2×C42—224no—
984C2×C42—224no—
985C2×C42C22×D1111yescharacteristic
986C2×C42C22×D1111yescharacteristic
987C2×C42C22×D1111yescharacteristic
988C2×C42C22×D1111yescharacteristic
989#95—111no—
990#95—111no—
991#95—111no—
992#95—111no—
993#95—111no—
994#95—111no—
995#95—111no—
996#95—111no—
997#95—111no—
998#95—111no—
999#95—111no—
1000#95—111no—
1001#95—111no—
1002#95—111no—
1003#95—111no—
1004#95—111no—
1005#95—111no—
1006#95—111no—
1007#95—111no—
1008#95—111no—
1009#95—111no—
1010#95—111no—
1011#95—111no—
1012#95—111no—
1013#95—111no—
1014#95—111no—
1015#95—111no—
1016#95—111no—
1017#95—111no—
1018#95—111no—
1019#95—111no—
1020#95—111no—
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95C22×D1111yescharacteristic
1030#95C22×D1111yescharacteristic
1031#95C22×D1111yescharacteristic
1032#95C22×D1111yescharacteristic
1033#95C22×D1111yescharacteristic
1034#95C22×D1111yescharacteristic
1035#95C22×D1111yescharacteristic
1036#95C22×D1111yescharacteristic
1037#95C22×D1111yescharacteristic
1038#95C22×D1111yescharacteristic
1039#95C22×D1111yescharacteristic
1040#95C22×D1111yescharacteristic
1041#95C22×D1111yescharacteristic
1042#95C22×D1111yescharacteristic
1043#95C22×D1111yescharacteristic
1044#95C22×D1111yescharacteristic
1045C2×C11—42no—
1046C2×C11C2×#52911yescharacteristic
1047C2×C11#344411yescharacteristic
1048C2×C11#345511yescharacteristic
1049C2×C11#347511yescharacteristic
1050C2×C11#347511yescharacteristic
1051C2×C11#347511yescharacteristic
1052C2×C11#347511yescharacteristic
1053D11—42no—
1054D11—42no—
1055C24—111no—
1056C24—111no—
1057C24C23×D1111yescharacteristic
1058C2×Q8—222no—
1059C2×Q8—441no—
1060C2×Q8—441no—
1061C2×D4—222no—
1062C2×D4—222no—
1063C2×D4—222no—
1064C2×D4—222no—
1065C2×D4—222no—
1066C2×D4—222no—
1067C2×D4—222no—
1068C2×D4—441no—
1069C2×D4—441no—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—41no—
1073C22×C4—111no—
1074C22×C4—114no—
1075C22×C4—111no—
1076C22×C4—111no—
1077C22×C4—111no—
1078C22×C4—111no—
1079C22×C4—111no—
1080C22×C4—111no—
1081C22×C4—111no—
1082C22×C4—111no—
1083C22×C4—111no—
1084C22×C4—111no—
1085C22×C4—111no—
1086C22×C4—111no—
1087C22×C4—111no—
1088C22×C4—222no—
1089C22×C4—222no—
1090C22×C4—222no—
1091C22×C4—222no—
1092C22×C4—222no—
1093C22×C4—222no—
1094C22×C4—222no—
1095C22×C4—222no—
1096C22×C4—222no—
1097C22×C4—222no—
1098C22×C4—222no—
1099C22×C4—222no—
1100C22×C4—222no—
1101C22×C4—222no—
1102C22×C4—222no—
1103C22×C4—222no—
1104C22×C4—222no—
1105C22×C4—222no—
1106C22×C4—441no—
1107C22×C4—441no—
1108C22×C4—441no—
1109C22×C4—441no—
1110C22×C4—441no—
1111C22×C4C23×D1111yescharacteristic
1112C22×C4C23×D1111yescharacteristic
1113C22×C4C23×D1111yescharacteristic
1114C22×C4C23×D1111yescharacteristic
1115C22×C4C23×D1111yescharacteristic
1116C22×C4C23×D1111yescharacteristic
1117C22×C4C23×D1111yescharacteristic
1118C22×C4C23×D1111yescharacteristic
1119C22×C4C23×D1111yescharacteristic
1120C22×C4C23×D1111yescharacteristic
1121C22×C4C23×D1111yescharacteristic
1122C22×C4C23×D1111yescharacteristic
1123C22×C4C23×D1111yescharacteristic
1124C22×C4C23×D1111yescharacteristic
1125C4⋊C4—22no—
1126C4⋊C4—22no—
1127C4⋊C4—22no—
1128C4⋊C4—22no—
1129C4⋊C4—22no—
1130C4⋊C4—41no—
1131C4⋊C4—41no—
1132C4⋊C4—41no—
1133C4⋊C4—222no—
1134C4⋊C4—222no—
1135C4⋊C4—222no—
1136C4⋊C4—222no—
1137C4⋊C4—222no—
1138C4⋊C4—222no—
1139C4⋊C4—222no—
1140C4⋊C4—222no—
1141C4⋊C4—222no—
1142C4⋊C4—222no—
1143C4⋊C4—222no—
1144C4⋊C4—222no—
1145C4⋊C4—222no—
1146C4⋊C4—222no—
1147C4⋊C4—222no—
1148C4⋊C4—222no—
1149C4⋊C4—222no—
1150C4⋊C4—441no—
1151C4⋊C4—441no—
1152C4⋊C4—441no—
1153C4⋊C4—441no—
1154C4⋊C4—441no—
1155C22⋊C4—22no—
1156C22⋊C4—22no—
1157C22⋊C4—22no—
1158C22⋊C4—22no—
1159C22⋊C4—22no—
1160C22⋊C4—41no—
1161C22⋊C4—114no—
1162C22⋊C4—114no—
1163C22⋊C4—222no—
1164C22⋊C4—222no—
1165C22⋊C4—222no—
1166C22⋊C4—222no—
1167C22⋊C4—222no—
1168C22⋊C4—222no—
1169C22⋊C4—222no—
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—441no—
1179C22⋊C4—441no—
1180C22⋊C4—441no—
1181C22⋊C4—441no—
1182C22⋊C4—441no—
1183C22⋊C4—441no—
1184C22⋊C4—441no—
1185C42—22no—
1186C42—22no—
1187C42—22no—
1188C42—41no—
1189C42—114no—
1190C42—114no—
1191C42—222no—
1192C42—222no—
1193C42—222no—
1194C42—222no—
1195C42—222no—
1196C42—222no—
1197C42—222no—
1198C42—222no—
1199C42—222no—
1200C42—222no—
1201C42—222no—
1202C42—222no—
1203C42—222no—
1204C42—222no—
1205C42—222no—
1206C42—222no—
1207C42—222no—
1208C42—441no—
1209C42—441no—
1210C42—441no—
1211C11#3487911yescharacteristic, complemented, Sylow
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—112no—
1219C23—112no—
1220C23—221no—
1221C23—221no—
1222C23—221no—
1223C23—221no—
1224C23—221no—
1225C23—221no—
1226C23—221no—
1227C23—221no—
1228C23—221no—
1229C23—221no—
1230C23—221no—
1231C23—221no—
1232C23#41×D1112yes—
1233C23C24×D1111yescharacteristic
1234Q8—444no—
1235D4—228no—
1236D4—444no—
1237D4—444no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—44no—
1277C2×C4—112no—
1278C2×C4—112no—
1279C2×C4—112no—
1280C2×C4—112no—
1281C2×C4—112no—
1282C2×C4—112no—
1283C2×C4—112no—
1284C2×C4—112no—
1285C2×C4—228no—
1286C2×C4—221no—
1287C2×C4—221no—
1288C2×C4—221no—
1289C2×C4—221no—
1290C2×C4—221no—
1291C2×C4—221no—
1292C2×C4—221no—
1293C2×C4—221no—
1294C2×C4—221no—
1295C2×C4—221no—
1296C2×C4—221no—
1297C2×C4—221no—
1298C2×C4—221no—
1299C2×C4—221no—
1300C2×C4—221no—
1301C2×C4—221no—
1302C2×C4—221no—
1303C2×C4—221no—
1304C2×C4—221no—
1305C2×C4—221no—
1306C2×C4—221no—
1307C2×C4—221no—
1308C2×C4—221no—
1309C2×C4—221no—
1310C2×C4—221no—
1311C2×C4—221no—
1312C2×C4—221no—
1313C2×C4—221no—
1314C2×C4—221no—
1315C2×C4—221no—
1316C2×C4—221no—
1317C2×C4—221no—
1318C2×C4—221no—
1319C2×C4—221no—
1320C2×C4—444no—
1321C2×C4—444no—
1322C2×C4—444no—
1323C2×C4—444no—
1324C2×C4—444no—
1325C2×C4—444no—
1326C2×C4—444no—
1327C2×C4#41×D1112yes—
1328C2×C4#41×D1112yes—
1329C2×C4#41×D1112yes—
1330C2×C4#41×D1112yes—
1331C22—22no—
1332C22—22no—
1333C22—22no—
1334C22—41no—
1335C22—41no—
1336C22—41no—
1337C22—41no—
1338C22—222no—
1339C22—222no—
1340C22—222no—
1341C22—222no—
1342C22—222no—
1343C22—222no—
1344C22—441no—
1345C22—441no—
1346C22—441no—
1347C22—441no—
1348C22—441no—
1349C22—441no—
1350C22—441no—
1351C22—441no—
1352C22C2×#41×D1111yescharacteristic
1353C22C2×#41×D1111yescharacteristic
1354C22C2×#41×D1111yescharacteristic
1355C22C2×#41×D1111yescharacteristic
1356C22C2×#41×D1111yescharacteristic
1357C22#1062345511yescharacteristic
1358C22#1062345711yescharacteristic
1359C4—22no—
1360C4—22no—
1361C4—22no—
1362C4—22no—
1363C4—41no—
1364C4—41no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—114no—
1374C4—222no—
1375C4—222no—
1376C4—222no—
1377C4—222no—
1378C4—222no—
1379C4—441no—
1380C4—441no—
1381C4—441no—
1382C4—441no—
1383C4—441no—
1384C4—441no—
1385C4—441no—
1386C4—441no—
1387C2—42no—
1388C2—442no—
1389C2—442no—
1390C2D11×#52911yescharacteristic
1391C2#1308191011yescharacteristic
1392C2#1308200311yescharacteristic
1393C2#1308217111yescharacteristic
1394C2#1308217511yescharacteristic
1395C2#1308218111yescharacteristic
1396C2#1308218111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2515C2
prime radical#10622573C22
hypercenter#2515D11
hypocenterC11#34879
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2515

Complements

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

NH ≅ G/Ntype
1. #13073887C2semidirect
2. #13073886C2semidirect
3. #13073874C2semidirect
4. #13073873C2semidirect
5. #13073863C2semidirect
6. #13073862C2semidirect
7. #13073666C2semidirect
8. #13073665C2semidirect
9. #13073353C2semidirect
10. #13073352C2semidirect
11. #13073228C2semidirect
12. #13072685C2semidirect
13. #13072684C2semidirect
16. #13071920C2semidirect
17. #13071905C2semidirect
18. #13071891C2semidirect
20. #13071166C2semidirect
21. #13071166C2semidirect
22. #13071135C2semidirect
23. #13071133C2semidirect
24. #13071089C2semidirect
25. #13071058C2semidirect
26. #13071058C2semidirect
27. #13071013C2semidirect
28. #13071009C2semidirect
29. C4×#66946C2semidirect
30. C4×#66930C2semidirect
31. C11×#2515C2semidirect
525. #2515D11semidirect
1211. C11#34879semidirect

Maximal subgroups

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

subgroupindex
#130738872
#130738862
#130738742
#130738732
#130738632
#130738622
#130736662
#130736652
#130733532
#130733522
#130732282
#130726852
#130726842
#130725242
#130725232
#130719202
#130719052
#130718912
#130718532
#130711662
#130711352
#130711332
#130710892
#130710582
#130710132
#130710092
C4×#669462
C4×#669302
C11×#25152
#3487911