Finite Group Databasebeta

← #14924824

Subgroups — #14924824

Order 2816.

1826 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#13074112C211yesmaximal, characteristic, complemented
2#13074108C211yesmaximal, characteristic, complemented
3#13074016C211yesmaximal, characteristic, complemented
4#13074007C211yesmaximal, characteristic, complemented
5#13073875C211yesmaximal, characteristic, complemented
6#13073868C211yesmaximal, characteristic, complemented
7#13073677C211yesmaximal, characteristic
8#13073377C211yesmaximal, characteristic, complemented
9#13073370C211yesmaximal, characteristic, complemented
10#13073254C211yesmaximal, characteristic, complemented
11#13073247C211yesmaximal, characteristic, complemented
12#13072702C211yesmaximal, characteristic, complemented
13#13072693C211yesmaximal, characteristic, complemented
14#13072543C211yesmaximal, characteristic, complemented
15#13072534C211yesmaximal, characteristic, complemented
16#13071920C211yesmaximal, characteristic, complemented
17#13071904C211yesmaximal, characteristic, complemented
18#13071891C211yesmaximal, characteristic, complemented
19#13071851C211yesmaximal, characteristic
20#13071170C211yesmaximal, characteristic, complemented
21#126×Dic11C211yesmaximal, characteristic, complemented
22#13071141C211yesmaximal, characteristic, complemented
23#123×Dic11C211yesmaximal, characteristic, complemented
24#13071110C211yesmaximal, characteristic, complemented
25#13071110C211yesmaximal, characteristic, complemented
26#13071078C211yesmaximal, characteristic, complemented
27#13071078C211yesmaximal, characteristic, complemented
28#13071078C211yesmaximal, characteristic, complemented
29C4×#66940C211yesmaximal, characteristic, complemented
30C4×#66930C211yesmaximal, characteristic, complemented
31C11×#2554C211yesmaximal, characteristic
32C2×C11×#126C2211yescharacteristic
33C2×C11×#123C2211yescharacteristic
34C2×#66988C2211yescharacteristic
35C2×D4×Dic11C2211yescharacteristic
36C2×D4×Dic11C2211yescharacteristic
37C2×D4×Dic11C2211yescharacteristic
38C22×C4×Dic11C2211yescharacteristic
39C2×#66940C2211yescharacteristic
40C2×#66940C2211yescharacteristic
41C2×#66932C2211yescharacteristic
42C2×#66930C2211yescharacteristic
43C2×#66930C2211yescharacteristic
44C2×#66930C2211yescharacteristic
45C2×#66930C2211yescharacteristic
46C2×C4×Dic22C2211yescharacteristic
47C11×#398C2211yescharacteristic
48C11×#396C2211yescharacteristic
49C11×#394C2211yescharacteristic
50C11×#392C2211yescharacteristic
51C11×#390C2211yescharacteristic
52C11×#390C2211yescharacteristic
53C11×#390C2211yescharacteristic
54C11×#388C2211yescharacteristic
55C11×#388C2211yescharacteristic
56C11×#388C2211yescharacteristic
57C11×#386C2211yescharacteristic
58C4×C11×C4⋊C4C2211yescharacteristic
59C4×C11×C22⋊C4C2211yescharacteristic
60#10622835C2211yescharacteristic
61#10622835C2211yescharacteristic
62#10622835C2211yescharacteristic
63#10622835C2211yescharacteristic
64#10622834C2211yescharacteristic
65#10622834C2211yescharacteristic
66#10622834C2211yescharacteristic
67#10622833C2211yescharacteristic
68#10622824C2211yescharacteristic
69#10622823C2211yescharacteristic
70C4×C22⋊Dic11C2211yescharacteristic
71#10622599C2211yescharacteristic
72#10622599C2211yescharacteristic
73#10622597C2211yescharacteristic
74#10622597C2211yescharacteristic
75#10622596C2211yescharacteristic
76#10622596C2211yescharacteristic
77#10622595C2211yescharacteristic
78#10622594C2211yescharacteristic
79#10622594C2211yescharacteristic
80#10622594C2211yescharacteristic
81#10622594C2211yescharacteristic
82#10622594C2211yescharacteristic
83#10622592C2211yescharacteristic
84#10622591C2211yescharacteristic
85#10622591C2211yescharacteristic
86#10622591C2211yescharacteristic
87C4⋊C4×Dic11C2211yescharacteristic
88C4⋊C4×Dic11C2211yescharacteristic
89C4⋊C4×Dic11C2211yescharacteristic
90C4⋊C4×Dic11C2211yescharacteristic
91C4⋊C4×Dic11C2211yescharacteristic
92C4⋊C4×Dic11C2211yescharacteristic
93C4⋊C4×Dic11C2211yescharacteristic
94#10622586C2211yescharacteristic
95#10622586C2211yescharacteristic
96#10622586C2211yescharacteristic
97#10622566C2211yescharacteristic
98#10622565C2211yescharacteristic
99#10622565C2211yescharacteristic
100#10622564C2211yescharacteristic
101#10622564C2211yescharacteristic
102#10622564C2211yescharacteristic
103#10622564C2211yescharacteristic
104#10622564C2211yescharacteristic
105#10622564C2211yescharacteristic
106#10622564C2211yescharacteristic
107#10622563C2211yescharacteristic
108#10622562C2211yescharacteristic
109#10622561C2211yescharacteristic
110#10622561C2211yescharacteristic
111#10622561C2211yescharacteristic
112#10622560C2211yescharacteristic
113#10622560C2211yescharacteristic
114#10622560C2211yescharacteristic
115#10622558C2211yescharacteristic
116#10622558C2211yescharacteristic
117#10622558C2211yescharacteristic
118#10622558C2211yescharacteristic
119#10622558C2211yescharacteristic
120#10622558C2211yescharacteristic
121#10622558C2211yescharacteristic
122#10622558C2211yescharacteristic
123#10622558C2211yescharacteristic
124#10622558C2211yescharacteristic
125#10622558C2211yescharacteristic
126#10622557C2211yescharacteristic
127#10622557C2211yescharacteristic
128#10622557C2211yescharacteristic
129#10622557C2211yescharacteristic
130#10622557C2211yescharacteristic
131#10622557C2211yescharacteristic
132#10622557C2211yescharacteristic
133#10622557C2211yescharacteristic
134#10622557C2211yescharacteristic
135#10622556C2211yescharacteristic
136C22⋊C4×Dic11C2211yescharacteristic
137C22⋊C4×Dic11C2211yescharacteristic
138C22⋊C4×Dic11C2211yescharacteristic
139C22⋊C4×Dic11C2211yescharacteristic
140C22⋊C4×Dic11C2211yescharacteristic
141C22⋊C4×Dic11C2211yescharacteristic
142C22⋊C4×Dic11C2211yescharacteristic
143C22⋊C4×Dic11C2211yescharacteristic
144C22⋊C4×Dic11C2211yescharacteristic
145C22⋊C4×Dic11C2211yescharacteristic
146C22⋊C4×Dic11C2211yescharacteristic
147C22⋊C4×Dic11C2211yescharacteristic
148#10622550C2211yescharacteristic
149#10622546C2211yescharacteristic
150#10622546C2211yescharacteristic
151#10622546C2211yescharacteristic
152C4×Dic11⋊C4C2211yescharacteristic
153C4×Dic11⋊C4C2211yescharacteristic
154C4×Dic11⋊C4C2211yescharacteristic
155C4×Dic11⋊C4C2211yescharacteristic
156C42×Dic11C2211yescharacteristic
157C42×Dic11C2211yescharacteristic
158C42×Dic11C2211yescharacteristic
159C42×Dic11C2211yescharacteristic
160#10622541C2211yescharacteristic
161#10622541C2211yescharacteristic
162#10622541C2211yescharacteristic
163#10622274C2211yescharacteristic
164#10622274C2211yescharacteristic
165#10622273C2211yescharacteristic
166#10622272C2211yescharacteristic
167#10622272C2211yescharacteristic
168#10622271C2211yescharacteristic
169#10622268C2211yescharacteristic
170#10622268C2211yescharacteristic
171#10622268C2211yescharacteristic
172#10622268C2211yescharacteristic
173#10622267C2211yescharacteristic
174#10622265C2211yescharacteristic
175#10622265C2211yescharacteristic
176#10622264C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622262C2211yescharacteristic
180#10622262C2211yescharacteristic
181#10622262C2211yescharacteristic
182#10622262C2211yescharacteristic
183#10622262C2211yescharacteristic
184#10622262C2211yescharacteristic
185#10622261C2211yescharacteristic
186#10622261C2211yescharacteristic
187C22×D4×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C22×Dic22C2311yescharacteristic
196C11×#126—24no—
197C11×#123—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×C22⋊C4C2311yescharacteristic
206C2×C11×C22⋊C4C2311yescharacteristic
207C2×C11×C22⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243#66988—24no—
244D4×Dic11—24no—
245D4×Dic11—24no—
246D4×Dic11—24no—
247C2×C4⋊Dic11C2311yescharacteristic
248C2×C4⋊Dic11C2311yescharacteristic
249C2×C4⋊Dic11C2311yescharacteristic
250C2×C4⋊Dic11C2311yescharacteristic
251C2×C4⋊Dic11C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
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×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×C4×Dic11—24no—
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
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
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301#66940—24no—
302#66940—24no—
303#66932—24no—
304#66930—24no—
305#66930—24no—
306#66930—24no—
307#66930—24no—
308C4×Dic22—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#34881—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C24×C11C2411yescharacteristic
360C24×C11C2411yescharacteristic
361C2×D4×C11—22no—
362C2×D4×C11—22no—
363C2×D4×C11—22no—
364C2×D4×C11—22no—
365C2×D4×C11—22no—
366C2×D4×C11—41no—
367C2×D4×C11—41no—
368C2×D4×C11—41no—
369C2×D4×C11—41no—
370C22×C4×C11—22no—
371C22×C4×C11—22no—
372C22×C4×C11—41no—
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×Dic11—22no—
386C22×Dic11—22no—
387C22×Dic11—22no—
388C22×Dic11—22no—
389C22×Dic11—22no—
390C22×Dic11—22no—
391C22×Dic11—22no—
392C22×Dic11—22no—
393C22×Dic11—22no—
394C22×Dic11—22no—
395C22×Dic11—41no—
396C22×Dic11#4114yes—
397C22×Dic11C2411yescharacteristic
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
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C2×Dic22—22no—
414C2×Dic22—22no—
415C2×Dic22—22no—
416C11×C4⋊C4—22no—
417C11×C4⋊C4—22no—
418C11×C4⋊C4—22no—
419C11×C4⋊C4—22no—
420C11×C4⋊C4—41no—
421C11×C4⋊C4—41no—
422C11×C4⋊C4#4114yes—
423C11×C22⋊C4—22no—
424C11×C22⋊C4—22no—
425C11×C22⋊C4—22no—
426C11×C22⋊C4—22no—
427C11×C22⋊C4—22no—
428C11×C22⋊C4—22no—
429C11×C22⋊C4—22no—
430C11×C22⋊C4—22no—
431C11×C22⋊C4—22no—
432C11×C22⋊C4—22no—
433C11×C22⋊C4—22no—
434C11×C22⋊C4—41no—
435C11×C22⋊C4—41no—
436C11×C22⋊C4—41no—
437C42×C11—22no—
438C42×C11—22no—
439C42×C11—41no—
440C42×C11—41no—
441C22⋊Dic11—22no—
442C22⋊Dic11—22no—
443C22⋊Dic11—22no—
444C22⋊Dic11—22no—
445C22⋊Dic11—22no—
446C22⋊Dic11—22no—
447C22⋊Dic11—22no—
448C22⋊Dic11—22no—
449C22⋊Dic11—22no—
450C22⋊Dic11—22no—
451C22⋊Dic11—22no—
452C22⋊Dic11—22no—
453C22⋊Dic11—22no—
454C22⋊Dic11—22no—
455C22⋊Dic11—22no—
456C22⋊Dic11—41no—
457C22⋊Dic11—41no—
458C22⋊Dic11—41no—
459C22⋊Dic11—41no—
460C22⋊Dic11—41no—
461C4⋊Dic11—22no—
462C4⋊Dic11—22no—
463C4⋊Dic11—22no—
464C4⋊Dic11—22no—
465C4⋊Dic11—22no—
466C4⋊Dic11—41no—
467C4⋊Dic11—41no—
468C4⋊Dic11—41no—
469C4⋊Dic11—41no—
470Dic11⋊C4—22no—
471Dic11⋊C4—22no—
472Dic11⋊C4—22no—
473Dic11⋊C4—22no—
474Dic11⋊C4—22no—
475Dic11⋊C4—22no—
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—41no—
486Dic11⋊C4—41no—
487Dic11⋊C4#4114yes—
488C4×Dic11—22no—
489C4×Dic11—22no—
490C4×Dic11—22no—
491C4×Dic11—22no—
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—41no—
507C4×Dic11—41no—
508C4×Dic11—41no—
509C4×Dic11—41no—
510C4×Dic11—41no—
511C4×Dic11—41no—
512C4×Dic11#4114yes—
513C4×Dic11#4114yes—
514#2593—111no—
515#2593—111no—
516#2585—111no—
517#2585—111no—
518#2573—111no—
519#2573—111no—
520#2554—111no—
521#2554D1111yescharacteristic
522#2525—111no—
523#2525—111no—
524#2516—111no—
525#2516—111no—
526#2469—111no—
527#2469—111no—
528#2458—111no—
529#2458—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#2298—111no—
539#2298—111no—
540#2293—111no—
541#2293—111no—
542#2293—111no—
543C42×Q8—111no—
544C4×#117—111no—
545C23×C11—21no—
546C23×C11—21no—
547C23×C11—21no—
548C23×C11—21no—
549C23×C11—21no—
550C23×C11—21no—
551C23×C11—21no—
552C23×C11—21no—
553C23×C11—21no—
554C23×C11—21no—
555C23×C11—21no—
556C23×C11—21no—
557C23×C11—21no—
558C23×C11—21no—
559C23×C11—21no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11—21no—
565C23×C11C2×#4112yes—
566C23×C11C2511yescharacteristic
567D4×C11—44no—
568D4×C11—44no—
569D4×C11—44no—
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—44no—
601C2×C4×C11C2×#4112yes—
602C2×C4×C11C2×#4112yes—
603C2×C4×C11C2×#4112yes—
604C2×C4×C11C2×#4112yes—
605C2×C4×C11C2×#4112yes—
606C2×C4×C11C2×#4112yes—
607C2×Dic11—21no—
608C2×Dic11—21no—
609C2×Dic11—21no—
610C2×Dic11—21no—
611C2×Dic11—21no—
612C2×Dic11—21no—
613C2×Dic11—21no—
614C2×Dic11—21no—
615C2×Dic11—21no—
616C2×Dic11—21no—
617C2×Dic11—28no—
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×Dic11—44no—
650C2×Dic11—44no—
651C2×Dic11C2×#4112yes—
652C2×Dic11C2×#4112yes—
653C2×Dic11C2×#4112yes—
654C2×Dic11C2×#4112yes—
655C2×Dic11C2×#4112yes—
656C2×Dic11C2×#4112yes—
657C2×Dic11C2×#4112yes—
658C2×Dic11C2×#4112yes—
659Dic22—28no—
660C2×#126—111no—
661C2×#126C2×D1111yescharacteristic
662C2×#123—111no—
663C2×#123C2×D1111yescharacteristic
664C2×C4×Q8—111no—
665C2×C4×Q8—111no—
666C2×C4×Q8—111no—
667C2×C4×D4—111no—
668C2×C4×D4—111no—
669C2×C4×D4—111no—
670C2×#117—111no—
671C2×#117—111no—
672C2×#117—111no—
673C2×#117—111no—
674C22×C42—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#398—111no—
684#398—111no—
685#398—111no—
686#398—111no—
687#398—111no—
688#398—111no—
689#398C2×D1111yescharacteristic
690#397—111no—
691#397—111no—
692#397—111no—
693#396—111no—
694#396—111no—
695#396—111no—
696#396C2×D1111yescharacteristic
697#395—111no—
698#394—111no—
699#394—111no—
700#394—111no—
701#394—111no—
702#394C2×D1111yescharacteristic
703#393—111no—
704#393—111no—
705#393—111no—
706#392C2×D1111yescharacteristic
707#390—111no—
708#390—111no—
709#390—111no—
710#390C2×D1111yescharacteristic
711#390C2×D1111yescharacteristic
712#390C2×D1111yescharacteristic
713#389—111no—
714#389—111no—
715#389—111no—
716#389—111no—
717#389—111no—
718#389—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#388—111no—
728#388—111no—
729#388—111no—
730#388—111no—
731#388—111no—
732#388—111no—
733#388—111no—
734#388—111no—
735#388—111no—
736#388—111no—
737#388—111no—
738#388—111no—
739#388—111no—
740#388—111no—
741#388—111no—
742#388—111no—
743#388—111no—
744#388—111no—
745#388—111no—
746#388C2×D1111yescharacteristic
747#388C2×D1111yescharacteristic
748#388C2×D1111yescharacteristic
749#387—111no—
750#387—111no—
751#387—111no—
752#387—111no—
753#387—111no—
754#387—111no—
755#387—111no—
756#387—111no—
757#387—111no—
758#387—111no—
759#387—111no—
760#387—111no—
761#387—111no—
762#387—111no—
763#387—111no—
764#387—111no—
765#387—111no—
766#387—111no—
767#386—111no—
768#386C2×D1111yescharacteristic
769#385—111no—
770#385—111no—
771#383—111no—
772#383—111no—
773#381—111no—
774#381—111no—
775C4×C4⋊C4—111no—
776C4×C4⋊C4—111no—
777C4×C4⋊C4—111no—
778C4×C4⋊C4—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⋊C4C2×D1111yescharacteristic
809#376—111no—
810#376—111no—
811C43—111no—
812C43—111no—
813C43—111no—
814C43—111no—
815C22×C11—22no—
816C22×C11—22no—
817C22×C11—22no—
818C22×C11—41no—
819C22×C11—41no—
820C22×C11—41no—
821C22×C11—41no—
822C22×C11—41no—
823C22×C11—41no—
824C22×C11—41no—
825C22×C11—41no—
826C22×C11—41no—
827C22×C11—41no—
828C22×C11—41no—
829C22×C11—41no—
830C22×C11—41no—
831C22×C11—41no—
832C22×C11—41no—
833C22×C11—41no—
834C22×C11—41no—
835C22×C11—41no—
836C22×C11C22×#4111yescharacteristic
837C22×C11C22×#4111yescharacteristic
838C22×C11C22×#4111yescharacteristic
839C22×C11C22×#4111yescharacteristic
840C22×C11C22×#4111yescharacteristic
841C22×C11#58511yescharacteristic
842C22×C11#58511yescharacteristic
843C4×C11—22no—
844C4×C11—22no—
845C4×C11—22no—
846C4×C11—22no—
847C4×C11—22no—
848C4×C11—22no—
849C4×C11—41no—
850C4×C11—41no—
851C4×C11—41no—
852C4×C11—41no—
853C4×C11—41no—
854C4×C11—41no—
855Dic11—22no—
856Dic11—22no—
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#52914yes—
871C22×Q8—111no—
872C22×D4C22×D1111yescharacteristic
873C22×D4C22×D1111yescharacteristic
874C22×D4C22×D1111yescharacteristic
875C23×C4—111no—
876C23×C4—111no—
877C23×C4—111no—
878C23×C4—111no—
879C23×C4C22×D1111yescharacteristic
880#126—24no—
881#126—224no—
882#123—24no—
883#123—224no—
884C4×Q8—224no—
885C4×Q8—224no—
886C4×Q8—224no—
887C4×D4—224no—
888C4×D4—224no—
889C4×D4—224no—
890#117—224no—
891#117—224no—
892#117—224no—
893#117—224no—
894C2×C4⋊C4—111no—
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×C22⋊C4—111no—
929C2×C22⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
949C2×C22⋊C4C22×D1111yescharacteristic
950C2×C22⋊C4C22×D1111yescharacteristic
951C2×C22⋊C4C22×D1111yescharacteristic
952C2×C22⋊C4C22×D1111yescharacteristic
953C2×C22⋊C4C22×D1111yescharacteristic
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×C22⋊C4C22×D1111yescharacteristic
961C2×C22⋊C4C22×D1111yescharacteristic
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—111no—
983C2×C42—111no—
984C2×C42—111no—
985C2×C42—111no—
986C2×C42—111no—
987C2×C42—111no—
988C2×C42—224no—
989C2×C42C22×D1111yescharacteristic
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#95—111no—
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95C22×D1111yescharacteristic
1036#95C22×D1111yescharacteristic
1037#95C22×D1111yescharacteristic
1038#95C22×D1111yescharacteristic
1039#95C22×D1111yescharacteristic
1040#95C22×D1111yescharacteristic
1041C2×C11—42no—
1042C2×C11—81no—
1043C2×C11—81no—
1044C2×C11C2×#52911yescharacteristic
1045C2×C11#344411yescharacteristic
1046C2×C11#345511yescharacteristic
1047C2×C11#347511yescharacteristic
1048C2×C11#347511yescharacteristic
1049C2×C11#348011yescharacteristic
1050C2×C11#348011yescharacteristic
1051C24C23×D1111yescharacteristic
1052C24C23×D1111yescharacteristic
1053C24C23×D1111yescharacteristic
1054C2×Q8—222no—
1055C2×Q8—222no—
1056C2×Q8—222no—
1057C2×D4—22no—
1058C2×D4—22no—
1059C2×D4—22no—
1060C2×D4—22no—
1061C2×D4—22no—
1062C2×D4—41no—
1063C2×D4—41no—
1064C2×D4—41no—
1065C2×D4—41no—
1066C22×C4—22no—
1067C22×C4—22no—
1068C22×C4—41no—
1069C22×C4—111no—
1070C22×C4—114no—
1071C22×C4—111no—
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×C4—222no—
1096C22×C4—441no—
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—41no—
1114C4⋊C4—41no—
1115C4⋊C4—114no—
1116C4⋊C4—222no—
1117C4⋊C4—222no—
1118C4⋊C4—222no—
1119C4⋊C4—222no—
1120C4⋊C4—222no—
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—222no—
1132C4⋊C4—222no—
1133C4⋊C4—222no—
1134C4⋊C4—222no—
1135C4⋊C4—222no—
1136C4⋊C4—441no—
1137C4⋊C4—441no—
1138C4⋊C4—441no—
1139C4⋊C4—441no—
1140C4⋊C4—441no—
1141C4⋊C4—441no—
1142C4⋊C4#434114yes—
1143C22⋊C4—22no—
1144C22⋊C4—22no—
1145C22⋊C4—22no—
1146C22⋊C4—22no—
1147C22⋊C4—22no—
1148C22⋊C4—22no—
1149C22⋊C4—22no—
1150C22⋊C4—22no—
1151C22⋊C4—22no—
1152C22⋊C4—22no—
1153C22⋊C4—22no—
1154C22⋊C4—41no—
1155C22⋊C4—41no—
1156C22⋊C4—41no—
1157C22⋊C4—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—222no—
1171C22⋊C4—222no—
1172C22⋊C4—441no—
1173C22⋊C4—441no—
1174C22⋊C4—441no—
1175C22⋊C4—441no—
1176C22⋊C4—441no—
1177C42—22no—
1178C42—22no—
1179C42—41no—
1180C42—41no—
1181C42—114no—
1182C42—114no—
1183C42—222no—
1184C42—222no—
1185C42—222no—
1186C42—222no—
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—222no—
1201C42—441no—
1202C42—441no—
1203C42—441no—
1204C42—441no—
1205C42—441no—
1206C42—441no—
1207C11#3488111yescharacteristic, complemented, Sylow
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23#41×D1112yes—
1229C23C24×D1111yescharacteristic
1230Q8—228no—
1231D4—44no—
1232D4—44no—
1233D4—44no—
1234C2×C4—21no—
1235C2×C4—21no—
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—44no—
1265C2×C4—112no—
1266C2×C4—112no—
1267C2×C4—112no—
1268C2×C4—112no—
1269C2×C4—112no—
1270C2×C4—112no—
1271C2×C4—112no—
1272C2×C4—112no—
1273C2×C4—228no—
1274C2×C4—221no—
1275C2×C4—221no—
1276C2×C4—221no—
1277C2×C4—221no—
1278C2×C4—221no—
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—444no—
1315C2×C4—444no—
1316C2×C4—444no—
1317C2×C4C2×#434112yes—
1318C2×C4C2×#434112yes—
1319C2×C4C2×#434112yes—
1320C2×C4#41×D1112yes—
1321C2×C4#41×D1112yes—
1322C2×C4#41×D1112yes—
1323C22—22no—
1324C22—22no—
1325C22—22no—
1326C22—41no—
1327C22—41no—
1328C22—41no—
1329C22—41no—
1330C22—41no—
1331C22—41no—
1332C22—41no—
1333C22—41no—
1334C22—41no—
1335C22—41no—
1336C22—41no—
1337C22—41no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22C22×#434111yescharacteristic
1345C22C2×#41×D1111yescharacteristic
1346C22C2×#41×D1111yescharacteristic
1347C22C2×#41×D1111yescharacteristic
1348C22C2×#41×D1111yescharacteristic
1349C22#1062345511yescharacteristic
1350C22#1062345511yescharacteristic
1351C4—22no—
1352C4—22no—
1353C4—22no—
1354C4—22no—
1355C4—22no—
1356C4—22no—
1357C4—41no—
1358C4—41no—
1359C4—41no—
1360C4—41no—
1361C4—41no—
1362C4—41no—
1363C4—114no—
1364C4—222no—
1365C4—222no—
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—42no—
1380C2—81no—
1381C2—81no—
1382C2D11×#52911yescharacteristic
1383C2#1308191111yescharacteristic
1384C2#1308199811yescharacteristic
1385C2#1308216711yescharacteristic
1386C2#1308217111yescharacteristic
1387C2#1308221011yescharacteristic
1388C2#1308221511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2554C2
prime radicalC11×#392C22
hypercenter#2554D11
hypocenterC11#34881
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2554

Complements

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

NH ≅ G/Ntype
1. #13074112C2semidirect
2. #13074108C2semidirect
3. #13074016C2semidirect
4. #13074007C2semidirect
5. #13073875C2semidirect
6. #13073868C2semidirect
8. #13073377C2semidirect
9. #13073370C2semidirect
10. #13073254C2semidirect
11. #13073247C2semidirect
12. #13072702C2semidirect
13. #13072693C2semidirect
14. #13072543C2semidirect
15. #13072534C2semidirect
16. #13071920C2semidirect
17. #13071904C2semidirect
18. #13071891C2semidirect
20. #13071170C2semidirect
21. #126×Dic11C2semidirect
22. #13071141C2semidirect
23. #123×Dic11C2semidirect
24. #13071110C2semidirect
25. #13071110C2semidirect
26. #13071078C2semidirect
27. #13071078C2semidirect
28. #13071078C2semidirect
29. C4×#66940C2semidirect
30. C4×#66930C2semidirect
1207. C11#34881semidirect

Maximal subgroups

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

subgroupindex
#130741122
#130741082
#130740162
#130740072
#130738752
#130738682
#130736772
#130733772
#130733702
#130732542
#130732472
#130727022
#130726932
#130725432
#130725342
#130719202
#130719042
#130718912
#130718512
#130711702
#126×Dic112
#130711412
#123×Dic112
#130711102
#130710782
C4×#669402
C4×#669302
C11×#25542
#3488111