Finite Group Databasebeta

← #14920743

Subgroups — #14920743

Order 2816.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1390 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13074797C211yesmaximal, characteristic, complemented
2#13074796C211yesmaximal, characteristic, complemented
3#13074756C211yesmaximal, characteristic
4#13074754C211yesmaximal, characteristic
5#13074694C211yesmaximal, characteristic, complemented
6#13074687C211yesmaximal, characteristic, complemented
7#13074652C211yesmaximal, characteristic, complemented
8#13074651C211yesmaximal, characteristic, complemented
9#13074649C211yesmaximal, characteristic, complemented
10#13074644C211yesmaximal, characteristic, complemented
11#13074636C211yesmaximal, characteristic, complemented
12#13074635C211yesmaximal, characteristic, complemented
13#13074523C211yesmaximal, characteristic, complemented
14#13074476C211yesmaximal, characteristic, complemented
15#13074475C211yesmaximal, characteristic, complemented
16#13071908C211yesmaximal, characteristic, complemented
17#13071898C211yesmaximal, characteristic, complemented
18#13071893C211yesmaximal, characteristic, complemented
19#13071891C211yesmaximal, characteristic, complemented
20#13071887C211yesmaximal, characteristic, complemented
21#13071880C211yesmaximal, characteristic, complemented
22#13071874C211yesmaximal, characteristic, complemented
23#13071861C211yesmaximal, characteristic
24#126×Dic11C211yesmaximal, characteristic, complemented
25#13071166C211yesmaximal, characteristic, complemented
26#13071157C211yesmaximal, characteristic, complemented
27#13071155C211yesmaximal, characteristic, complemented
28#13071108C211yesmaximal, characteristic, complemented
29#13071076C211yesmaximal, characteristic, complemented
30C4×Q8×Dic11C211yesmaximal, characteristic, complemented
31C11×#2637C211yesmaximal, characteristic, complemented
32C2×C11×#126C2211yescharacteristic
33C2×C4×Q8×C11C2211yescharacteristic
34C2×Q8×Dic11C2211yescharacteristic
35C2×Q8×Dic11C2211yescharacteristic
36C2×#66951C2211yescharacteristic
37C2×#66946C2211yescharacteristic
38C2×#66945C2211yescharacteristic
39C2×#66945C2211yescharacteristic
40C2×#66940C2211yescharacteristic
41C2×#66940C2211yescharacteristic
42C2×#66938C2211yescharacteristic
43C2×(C22⋊D11)⋊C4C2211yescharacteristic
44C2×(C22⋊D11)⋊C4C2211yescharacteristic
45C2×#66930C2211yescharacteristic
46C2×#66928C2211yescharacteristic
47C11×#398C2211yescharacteristic
48C11×#398C2211yescharacteristic
49C11×#398C2211yescharacteristic
50C11×#397C2211yescharacteristic
51C11×#396C2211yescharacteristic
52C11×#396C2211yescharacteristic
53C11×#395C2211yescharacteristic
54C11×#393C2211yescharacteristic
55C11×#388C2211yescharacteristic
56C11×#388C2211yescharacteristic
57C11×#387C2211yescharacteristic
58C11×#387C2211yescharacteristic
59C11×#382C2211yescharacteristic
60#10622844C2211yescharacteristic
61#10622844C2211yescharacteristic
62#10622607C2211yescharacteristic
63#10622607C2211yescharacteristic
64#10622607C2211yescharacteristic
65#10622607C2211yescharacteristic
66#10622607C2211yescharacteristic
67#10622606C2211yescharacteristic
68#10622605C2211yescharacteristic
69#10622605C2211yescharacteristic
70#10622604C2211yescharacteristic
71#10622604C2211yescharacteristic
72#10622604C2211yescharacteristic
73#10622603C2211yescharacteristic
74#10622603C2211yescharacteristic
75#10622603C2211yescharacteristic
76#10622601C2211yescharacteristic
77#10622599C2211yescharacteristic
78#10622599C2211yescharacteristic
79#10622597C2211yescharacteristic
80#10622597C2211yescharacteristic
81#10622597C2211yescharacteristic
82#10622596C2211yescharacteristic
83#10622594C2211yescharacteristic
84#10622594C2211yescharacteristic
85#10622594C2211yescharacteristic
86#10622594C2211yescharacteristic
87#10622593C2211yescharacteristic
88#10622592C2211yescharacteristic
89#10622592C2211yescharacteristic
90#10622592C2211yescharacteristic
91#10622592C2211yescharacteristic
92C4⋊C4×Dic11C2211yescharacteristic
93C4⋊C4×Dic11C2211yescharacteristic
94C4⋊C4×Dic11C2211yescharacteristic
95C4⋊C4×Dic11C2211yescharacteristic
96C4⋊C4×Dic11C2211yescharacteristic
97C4⋊C4×Dic11C2211yescharacteristic
98C4⋊C4×Dic11C2211yescharacteristic
99C4⋊C4×Dic11C2211yescharacteristic
100C4⋊C4×Dic11C2211yescharacteristic
101C4⋊C4×Dic11C2211yescharacteristic
102#10622587C2211yescharacteristic
103#10622585C2211yescharacteristic
104#10622574C2211yescharacteristic
105#10622574C2211yescharacteristic
106#10622574C2211yescharacteristic
107#10622574C2211yescharacteristic
108#10622574C2211yescharacteristic
109#10622573C2211yescharacteristic
110#10622572C2211yescharacteristic
111#10622570C2211yescharacteristic
112#10622570C2211yescharacteristic
113#10622570C2211yescharacteristic
114#10622566C2211yescharacteristic
115#10622565C2211yescharacteristic
116#10622564C2211yescharacteristic
117#10622564C2211yescharacteristic
118#10622564C2211yescharacteristic
119#10622564C2211yescharacteristic
120#10622562C2211yescharacteristic
121#10622561C2211yescharacteristic
122#10622560C2211yescharacteristic
123#10622558C2211yescharacteristic
124C22⋊C4×Dic11C2211yescharacteristic
125C22⋊C4×Dic11C2211yescharacteristic
126C22⋊C4×Dic11C2211yescharacteristic
127C22⋊C4×Dic11C2211yescharacteristic
128#10622553C2211yescharacteristic
129#10622553C2211yescharacteristic
130#10622553C2211yescharacteristic
131#10622553C2211yescharacteristic
132#10622550C2211yescharacteristic
133C4×C4⋊Dic11C2211yescharacteristic
134C4×C4⋊Dic11C2211yescharacteristic
135C4×C4⋊Dic11C2211yescharacteristic
136C42×Dic11C2211yescharacteristic
137C42×Dic11C2211yescharacteristic
138C42×Dic11C2211yescharacteristic
139#10622290C2211yescharacteristic
140#10622290C2211yescharacteristic
141#10622288C2211yescharacteristic
142#10622288C2211yescharacteristic
143#10622287C2211yescharacteristic
144#10622287C2211yescharacteristic
145#10622287C2211yescharacteristic
146#10622286C2211yescharacteristic
147#10622283C2211yescharacteristic
148#10622283C2211yescharacteristic
149#10622282C2211yescharacteristic
150#10622282C2211yescharacteristic
151#10622282C2211yescharacteristic
152#10622282C2211yescharacteristic
153#10622282C2211yescharacteristic
154#10622282C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622279C2211yescharacteristic
157#10622279C2211yescharacteristic
158#10622279C2211yescharacteristic
159#10622279C2211yescharacteristic
160#10622279C2211yescharacteristic
161#10622279C2211yescharacteristic
162#10622279C2211yescharacteristic
163#10622274C2211yescharacteristic
164#10622274C2211yescharacteristic
165#10622273C2211yescharacteristic
166#10622273C2211yescharacteristic
167#10622273C2211yescharacteristic
168#10622271C2211yescharacteristic
169#10622271C2211yescharacteristic
170#10622270C2211yescharacteristic
171#10622270C2211yescharacteristic
172#10622270C2211yescharacteristic
173#10622269C2211yescharacteristic
174#10622269C2211yescharacteristic
175#10622268C2211yescharacteristic
176#10622267C2211yescharacteristic
177#10622266C2211yescharacteristic
178#10622266C2211yescharacteristic
179#10622264C2211yescharacteristic
180#10622263C2211yescharacteristic
181#10622262C2211yescharacteristic
182#10622262C2211yescharacteristic
183#10622262C2211yescharacteristic
184#10622261C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×Q8×C11C2311yescharacteristic
188C22×C22⋊D11C2311yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C23×Dic11C2311yescharacteristic
191C22×D44C2311yescharacteristic
192C22×C4×D11C2311yescharacteristic
193C22×C4×D11C2311yescharacteristic
194C22×Dic22C2311yescharacteristic
195C22×Dic22C2311yescharacteristic
196C11×#126—24no—
197C4×Q8×C11—24no—
198C2×C11×C4⋊C4C2311yescharacteristic
199C2×C11×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C22⋊Dic11C2311yescharacteristic
221C2×C22⋊Dic11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225Q8×Dic11—24no—
226Q8×Dic11—24no—
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×(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×C4⋊Dic11C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
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
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
297C2×C4×Dic11C2311yescharacteristic
298#66951—24no—
299#66946—42no—
300#66945—24no—
301#66945—42no—
302#66940—42no—
303#66940—42no—
304#66938—24no—
305(C22⋊D11)⋊C4—24no—
306(C22⋊D11)⋊C4—42no—
307#66930—42no—
308#66928—24no—
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#34603—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C23×D11C2411yescharacteristic
360C23×D11C2411yescharacteristic
361C2×Q8×C11—22no—
362C2×Q8×C11—22no—
363C2×Q8×C11—22no—
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—41no—
381C2×C22⋊D11—41no—
382C2×C22⋊D11—41no—
383C2×C22⋊D11—41no—
384C22×Dic11—22no—
385C22×Dic11—22no—
386C22×Dic11—22no—
387C22×Dic11C2411yescharacteristic
388C22×Dic11C2411yescharacteristic
389C22×Dic11C2411yescharacteristic
390C22×Dic11C2411yescharacteristic
391C22×Dic11C2411yescharacteristic
392C22×Dic11C2411yescharacteristic
393C22×Dic11C2411yescharacteristic
394C22×Dic11C2411yescharacteristic
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C2×D44—22no—
402C2×D44—41no—
403C2×D44—41no—
404C2×C4×D11—22no—
405C2×C4×D11—22no—
406C2×C4×D11—22no—
407C2×C4×D11—22no—
408C2×C4×D11—22no—
409C2×C4×D11—22no—
410C2×Dic22—22no—
411C2×Dic22—22no—
412C2×Dic22—41no—
413C2×Dic22—41no—
414C2×Dic22—41no—
415C2×Dic22—41no—
416C11×C4⋊C4—22no—
417C11×C4⋊C4—22no—
418C11×C4⋊C4—22no—
419C11×C4⋊C4—22no—
420C11×C4⋊C4—22no—
421C11×C4⋊C4—22no—
422C11×C4⋊C4—22no—
423C11×C4⋊C4—22no—
424C11×C4⋊C4—41no—
425C11×C4⋊C4—41no—
426C11×C4⋊C4—41no—
427C11×C4⋊C4—41no—
428C11×C22⋊C4—22no—
429C11×C22⋊C4—22no—
430C11×C22⋊C4—22no—
431C11×C22⋊C4—22no—
432C11×C22⋊C4—22no—
433C11×C22⋊C4—41no—
434C11×C22⋊C4—41no—
435C42×C11—22no—
436C42×C11—22no—
437C42×C11#4114yes—
438C22⋊Dic11—22no—
439C22⋊Dic11—41no—
440C22⋊Dic11—41no—
441C22⋊Dic11—41no—
442C22⋊Dic11—41no—
443(C2×D11)⋊C4—22no—
444(C2×D11)⋊C4—22no—
445(C2×D11)⋊C4—22no—
446(C2×D11)⋊C4—22no—
447(C2×D11)⋊C4—22no—
448(C2×D11)⋊C4—22no—
449(C2×D11)⋊C4—22no—
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—41no—
456(C2×D11)⋊C4—41no—
457(C2×D11)⋊C4—41no—
458(C2×D11)⋊C4—41no—
459(C2×D11)⋊C4—41no—
460(C2×D11)⋊C4—41no—
461(C2×D11)⋊C4—41no—
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—
467C4⋊Dic11—22no—
468C4⋊Dic11—22no—
469C4⋊Dic11—22no—
470C4⋊Dic11—22no—
471C4⋊Dic11—22no—
472C4⋊Dic11—22no—
473C4⋊Dic11—22no—
474C4⋊Dic11—22no—
475C4⋊Dic11—41no—
476C4⋊Dic11—41no—
477C4⋊Dic11—41no—
478C4⋊Dic11—41no—
479Dic11⋊C4—22no—
480Dic11⋊C4—22no—
481Dic11⋊C4—41no—
482Dic11⋊C4—41no—
483Dic11⋊C4—41no—
484Dic11⋊C4—41no—
485Dic11⋊C4—41no—
486Dic11⋊C4—41no—
487Dic11⋊C4—41no—
488Dic11⋊C4—41no—
489Dic11⋊C4—41no—
490Dic11⋊C4—41no—
491Dic11⋊C4—41no—
492Dic11⋊C4—41no—
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—41no—
507C4×Dic11—41no—
508C4×Dic11—41no—
509C4×Dic11—41no—
510C4×Dic11—41no—
511C4×Dic11—41no—
512C4×Dic11#4114yes—
513C4×Dic11#4114yes—
514#2666—111no—
515#2666—111no—
516#2662—111no—
517#2662—111no—
518#2654—111no—
519#2654—111no—
520#2651—111no—
521#2651—111no—
522#2651—111no—
523#2651—111no—
524#2650—111no—
525#2650—111no—
526#2637—111no—
527#2637D1111yescharacteristic, complemented
528#2632—111no—
529#2632—111no—
530#2399—111no—
531#2398—111no—
532#2396—111no—
533#2396—111no—
534#2396—111no—
535#2395—111no—
536#2395—111no—
537#2392—111no—
538C4×#126—111no—
539C4×#126—111no—
540C4×#124—111no—
541C4×#124—111no—
542#2298—111no—
543#2293—111no—
544C42×Q8—111no—
545C23×C11—21no—
546C23×C11—21no—
547C23×C11—21no—
548C23×C11—21no—
549C23×C11—21no—
550C23×C11—21no—
551C23×C11—21no—
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×D11—21no—
566C22×D11—21no—
567Q8×C11—28no—
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×C11C2×#4112yes—
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—21no—
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—21no—
648C2×Dic11—44no—
649C2×Dic11C2×#4112yes—
650C2×Dic11C2×#4112yes—
651C2×Dic11C2×#4112yes—
652C2×Dic11C2×#4112yes—
653C2×Dic11H(5,𝔽2)12yes—
654C2×Dic112−1+412yes—
655D44—44no—
656C4×D11—44no—
657C4×D11—44no—
658Dic22—44no—
659Dic22—44no—
660C2×#126—111no—
661C2×#126C2×D1111yescharacteristic
662C2×#124—111no—
663C2×#124—111no—
664C2×C4×Q8—111no—
665C2×C4×Q8—111no—
666C2×C4×Q8—111no—
667C2×C4×Q8—111no—
668C2×C4×Q8C2×D1111yescharacteristic
669C2×C4×D4—111no—
670C2×C4×D4—111no—
671C2×C4×D4—111no—
672C2×#117—111no—
673C2×#117—111no—
674C2×#117—111no—
675#400—111no—
676#400—111no—
677#400—111no—
678#400—111no—
679#400—111no—
680#400—111no—
681#400—111no—
682#399—111no—
683#399—111no—
684#399—111no—
685#399—111no—
686#399—111no—
687#398—111no—
688#398—111no—
689#398—111no—
690#398—111no—
691#398—111no—
692#398—111no—
693#398—111no—
694#398—111no—
695#398—111no—
696#398—111no—
697#398C2×D1111yescharacteristic
698#398C2×D1111yescharacteristic
699#398C2×D1111yescharacteristic
700#397—111no—
701#397—111no—
702#397—111no—
703#397—111no—
704#397—111no—
705#397—111no—
706#397—111no—
707#397—111no—
708#397C2×D1111yescharacteristic
709#396—111no—
710#396—111no—
711#396—111no—
712#396—111no—
713#396—111no—
714#396—111no—
715#396C2×D1111yescharacteristic
716#396C2×D1111yescharacteristic
717#395—111no—
718#395—111no—
719#395—111no—
720#395—111no—
721#395—111no—
722#395—111no—
723#395C2×D1111yescharacteristic
724#394—111no—
725#394—111no—
726#394—111no—
727#394—111no—
728#394—111no—
729#394—111no—
730#394—111no—
731#394—111no—
732#394—111no—
733#393—111no—
734#393—111no—
735#393—111no—
736#393—111no—
737#393C2×D1111yescharacteristic
738#392—111no—
739#391—111no—
740#391—111no—
741#390—111no—
742#390—111no—
743#390—111no—
744#390—111no—
745#389—111no—
746#389—111no—
747#388—111no—
748#388—111no—
749#388—111no—
750#388—111no—
751#388—111no—
752#388—111no—
753#388—111no—
754#388—111no—
755#388—111no—
756#388—111no—
757#388—111no—
758#388—111no—
759#388—111no—
760#388—111no—
761#388—111no—
762#388—111no—
763#388—111no—
764#388—111no—
765#388—111no—
766#388—111no—
767#388C2×D1111yescharacteristic
768#388C2×D1111yescharacteristic
769#387—111no—
770#387—111no—
771#387—111no—
772#387—111no—
773#387—111no—
774#387—111no—
775#387—111no—
776#387—111no—
777#387C2×D1111yescharacteristic
778#387C2×D1111yescharacteristic
779#383—111no—
780#383—111no—
781#382—111no—
782#382C2×D1111yescharacteristic
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⋊C4—111no—
795C4×C4⋊C4—111no—
796C4×C4⋊C4—111no—
797C4×C4⋊C4—111no—
798C4×C4⋊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—
811#376—111no—
812C43—111no—
813C43—111no—
814C43—111no—
815C22×C11—41no—
816C22×C11—41no—
817C22×C11—41no—
818C22×C11—41no—
819C22×C11—41no—
820C22×C11—41no—
821C22×C11—41no—
822C22×C11C22×#4111yescharacteristic
823C22×C11C22×#4111yescharacteristic
824C22×C11C22×#4111yescharacteristic
825C22×C11C2×H(5,𝔽2)11yescharacteristic
826C22×C11C2×2−1+411yescharacteristic
827C22×C11#58511yescharacteristic
828C22×C11#58511yescharacteristic
829C2×D11—41no—
830C2×D11—41no—
831C2×D11—41no—
832C2×D11—41no—
833C2×D11—41no—
834C2×D11—41no—
835C2×D11—41no—
836C2×D11—41no—
837C2×D11—41no—
838C2×D11—41no—
839C2×D11—41no—
840C2×D11—41no—
841C2×D11—41no—
842C2×D11—41no—
843C4×C11—22no—
844C4×C11—22no—
845C4×C11—22no—
846C4×C11—22no—
847C4×C11—22no—
848C4×C11—41no—
849C4×C11—41no—
850C4×C11—41no—
851C4×C11—41no—
852C4×C11—41no—
853C4×C11—41no—
854C4×C11—41no—
855C4×C11—41no—
856C4×C11—41no—
857Dic11—22no—
858Dic11—22no—
859Dic11—22no—
860Dic11—41no—
861Dic11—41no—
862Dic11—41no—
863Dic11—41no—
864Dic11—41no—
865Dic11—41no—
866Dic11—41no—
867Dic11—41no—
868Dic11—41no—
869Dic11—41no—
870Dic11#54214yes—
871C22×Q8—111no—
872C22×Q8—111no—
873C22×Q8C22×D1111yescharacteristic
874C22×D4—111no—
875C22×D4—111no—
876C22×D4—111no—
877C23×C4—111no—
878C23×C4—111no—
879C23×C4—111no—
880#126—24no—
881#126—224no—
882#124—224no—
883#124—224no—
884C4×Q8—24no—
885C4×Q8—224no—
886C4×Q8—224no—
887C4×Q8—442no—
888C4×Q8—442no—
889C4×D4—224no—
890C4×D4—442no—
891C4×D4—442no—
892#117—224no—
893#117—442no—
894#117—442no—
895C2×C4⋊C4—111no—
896C2×C4⋊C4—111no—
897C2×C4⋊C4—111no—
898C2×C4⋊C4—111no—
899C2×C4⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
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×C4⋊C4C22×D1111yescharacteristic
931C2×C4⋊C4C22×D1111yescharacteristic
932C2×C4⋊C4C22×D1111yescharacteristic
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⋊C4—111no—
955C2×C22⋊C4—111no—
956C2×C22⋊C4—111no—
957C2×C22⋊C4—111no—
958C2×C22⋊C4—111no—
959C2×C22⋊C4—111no—
960C2×C22⋊C4—111no—
961C2×C22⋊C4—111no—
962C2×C22⋊C4C22×D1111yescharacteristic
963C2×C22⋊C4C22×D1111yescharacteristic
964C2×C22⋊C4C22×D1111yescharacteristic
965C2×C22⋊C4C22×D1111yescharacteristic
966C2×C22⋊C4C22×D1111yescharacteristic
967C2×C22⋊C4C22×D1111yescharacteristic
968C2×C22⋊C4C22×D1111yescharacteristic
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—111no—
983C2×C42—111no—
984C2×C42—111no—
985C2×C42—111no—
986C2×C42—111no—
987C2×C42—111no—
988C2×C42—111no—
989C2×C42—111no—
990C2×C42C22×D1111yescharacteristic
991C2×C42C22×D1111yescharacteristic
992C2×C42C22×D1111yescharacteristic
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
1041C2×C11—81no—
1042C2×C11#344411yescharacteristic
1043C2×C11C2×#54211yescharacteristic
1044C2×C11#345511yescharacteristic
1045C2×C11#346011yescharacteristic
1046C2×C11#346011yescharacteristic
1047C2×C11#346111yescharacteristic
1048C2×C11#346111yescharacteristic
1049D11—81no—
1050D11—81no—
1051C24—111no—
1052C24—111no—
1053C24C23×D1111yescharacteristic
1054C2×Q8—22no—
1055C2×Q8—22no—
1056C2×Q8—22no—
1057C2×Q8—222no—
1058C2×Q8—222no—
1059C2×Q8—441no—
1060C2×Q8—441no—
1061C2×Q8—441no—
1062C2×Q8—441no—
1063C2×D4—222no—
1064C2×D4—222no—
1065C2×D4—222no—
1066C2×D4—441no—
1067C2×D4—441no—
1068C2×D4—441no—
1069C2×D4—441no—
1070C2×D4—441no—
1071C2×D4—441no—
1072C22×C4—111no—
1073C22×C4—111no—
1074C22×C4—111no—
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—222no—
1087C22×C4—222no—
1088C22×C4—222no—
1089C22×C4—222no—
1090C22×C4—222no—
1091C22×C4—222no—
1092C22×C4—222no—
1093C22×C4—222no—
1094C22×C4—222no—
1095C22×C4C23×D1111yescharacteristic
1096C22×C4C23×D1111yescharacteristic
1097C22×C4C23×D1111yescharacteristic
1098C22×C4C23×D1111yescharacteristic
1099C22×C4C23×D1111yescharacteristic
1100C22×C4C23×D1111yescharacteristic
1101C22×C4C23×D1111yescharacteristic
1102C22×C4C23×D1111yescharacteristic
1103C22×C4C23×D1111yescharacteristic
1104C22×C4C23×D1111yescharacteristic
1105C22×C4C23×D1111yescharacteristic
1106C22×C4C23×D1111yescharacteristic
1107C22×C4C23×D1111yescharacteristic
1108C22×C4C23×D1111yescharacteristic
1109C4⋊C4—22no—
1110C4⋊C4—22no—
1111C4⋊C4—22no—
1112C4⋊C4—22no—
1113C4⋊C4—22no—
1114C4⋊C4—22no—
1115C4⋊C4—22no—
1116C4⋊C4—22no—
1117C4⋊C4—41no—
1118C4⋊C4—41no—
1119C4⋊C4—41no—
1120C4⋊C4—41no—
1121C4⋊C4—222no—
1122C4⋊C4—222no—
1123C4⋊C4—222no—
1124C4⋊C4—222no—
1125C4⋊C4—222no—
1126C4⋊C4—222no—
1127C4⋊C4—222no—
1128C4⋊C4—222no—
1129C4⋊C4—222no—
1130C4⋊C4—222no—
1131C4⋊C4—441no—
1132C4⋊C4—441no—
1133C4⋊C4—441no—
1134C4⋊C4—441no—
1135C4⋊C4—441no—
1136C4⋊C4—441no—
1137C4⋊C4—441no—
1138C4⋊C4—441no—
1139C4⋊C4—441no—
1140C4⋊C4—441no—
1141C4⋊C4—441no—
1142C4⋊C4—441no—
1143C4⋊C4—441no—
1144C4⋊C4—441no—
1145C4⋊C4—441no—
1146C4⋊C4—441no—
1147C22⋊C4—22no—
1148C22⋊C4—22no—
1149C22⋊C4—22no—
1150C22⋊C4—22no—
1151C22⋊C4—22no—
1152C22⋊C4—41no—
1153C22⋊C4—41no—
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—441no—
1168C22⋊C4—441no—
1169C22⋊C4—441no—
1170C22⋊C4—441no—
1171C22⋊C4—441no—
1172C22⋊C4—441no—
1173C22⋊C4—441no—
1174C22⋊C4—441no—
1175C22⋊C4—441no—
1176C22⋊C4—441no—
1177C22⋊C4—441no—
1178C22⋊C4—441no—
1179C22⋊C4—441no—
1180C22⋊C4—441no—
1181C22⋊C4—441no—
1182C22⋊C4—441no—
1183C42—22no—
1184C42—22no—
1185C42—114no—
1186C42—114no—
1187C42—222no—
1188C42—222no—
1189C42—222no—
1190C42—222no—
1191C42—222no—
1192C42—222no—
1193C42—222no—
1194C42—222no—
1195C42—222no—
1196C42—222no—
1197C42—222no—
1198C42—222no—
1199C42—222no—
1200C42—441no—
1201C42—441no—
1202C42—441no—
1203C42—441no—
1204C42—441no—
1205C42—441no—
1206C42#434114yes—
1207C11#3460311yescharacteristic, complemented, Sylow
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—221no—
1216C23—221no—
1217C23—221no—
1218C23—221no—
1219C23—221no—
1220C23—221no—
1221C23—221no—
1222C23—221no—
1223C23—221no—
1224C23—221no—
1225C23—221no—
1226C23—221no—
1227C23—221no—
1228C23—221no—
1229C23C24×D1111yescharacteristic
1230Q8—28no—
1231Q8—444no—
1232Q8—444no—
1233D4—444no—
1234D4—444no—
1235D4—444no—
1236C2×C4—21no—
1237C2×C4—21no—
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—112no—
1274C2×C4—112no—
1275C2×C4—112no—
1276C2×C4—112no—
1277C2×C4—112no—
1278C2×C4—112no—
1279C2×C4—221no—
1280C2×C4—221no—
1281C2×C4—221no—
1282C2×C4—221no—
1283C2×C4—221no—
1284C2×C4—221no—
1285C2×C4—221no—
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—444no—
1316C2×C4—444no—
1317C2×C4—444no—
1318C2×C4C2×#434112yes—
1319C2×C4C2×#434112yes—
1320C2×C4C2×#434112yes—
1321C2×C4#41×D1112yes—
1322C2×C4#41×D1112yes—
1323C22—41no—
1324C22—41no—
1325C22—41no—
1326C22—41no—
1327C22—41no—
1328C22—41no—
1329C22—41no—
1330C22—441no—
1331C22—441no—
1332C22—441no—
1333C22—441no—
1334C22—441no—
1335C22—441no—
1336C22—441no—
1337C22—441no—
1338C22—441no—
1339C22—441no—
1340C22—441no—
1341C22—441no—
1342C22—441no—
1343C22—441no—
1344C22C22×#434111yescharacteristic
1345C22C2×#41×D1111yescharacteristic
1346C22C2×#41×D1111yescharacteristic
1347C22D11×H(5,𝔽2)11yescharacteristic
1348C22D11×2−1+411yescharacteristic
1349C22#1062345711yescharacteristic
1350C22#1062345711yescharacteristic
1351C4—22no—
1352C4—22no—
1353C4—22no—
1354C4—22no—
1355C4—22no—
1356C4—41no—
1357C4—41no—
1358C4—41no—
1359C4—41no—
1360C4—41no—
1361C4—41no—
1362C4—41no—
1363C4—41no—
1364C4—41no—
1365C4—114no—
1366C4—222no—
1367C4—222no—
1368C4—222no—
1369C4—441no—
1370C4—441no—
1371C4—441no—
1372C4—441no—
1373C4—441no—
1374C4—441no—
1375C4—441no—
1376C4—441no—
1377C4—441no—
1378C4—441no—
1379C2—81no—
1380C2—881no—
1381C2—881no—
1382C2#1308190811yescharacteristic
1383C2D11×#54211yescharacteristic
1384C2#1308200711yescharacteristic
1385C2#1308203311yescharacteristic
1386C2#1308203611yescharacteristic
1387C2#1308204011yescharacteristic
1388C2#1308204811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2637C2
prime radical#10622573C22
hypercenter#2637D11
hypocenterC11#34603
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2637

Complements

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

NH ≅ G/Ntype
1. #13074797C2semidirect
2. #13074796C2semidirect
5. #13074694C2semidirect
6. #13074687C2semidirect
7. #13074652C2semidirect
8. #13074651C2semidirect
9. #13074649C2semidirect
10. #13074644C2semidirect
11. #13074636C2semidirect
12. #13074635C2semidirect
13. #13074523C2semidirect
14. #13074476C2semidirect
15. #13074475C2semidirect
16. #13071908C2semidirect
17. #13071898C2semidirect
18. #13071893C2semidirect
19. #13071891C2semidirect
20. #13071887C2semidirect
21. #13071880C2semidirect
22. #13071874C2semidirect
24. #126×Dic11C2semidirect
25. #13071166C2semidirect
26. #13071157C2semidirect
27. #13071155C2semidirect
28. #13071108C2semidirect
29. #13071076C2semidirect
30. C4×Q8×Dic11C2semidirect
31. C11×#2637C2semidirect
527. #2637D11semidirect
1207. C11#34603semidirect

Maximal subgroups

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

subgroupindex
#130747972
#130747962
#130747562
#130747542
#130746942
#130746872
#130746522
#130746512
#130746492
#130746442
#130746362
#130746352
#130745232
#130744762
#130744752
#130719082
#130718982
#130718932
#130718912
#130718872
#130718802
#130718742
#130718612
#126×Dic112
#130711662
#130711572
#130711552
#130711082
#130710762
C4×Q8×Dic112
C11×#26372
#3460311