Finite Group Databasebeta

← #14927155

Subgroups — #14927155

Order 2816.

1816 conjugacy classes of subgroups.

The subgroup lattice has 1450 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13077009C211yesmaximal, characteristic, complemented
2#13077004C211yesmaximal, characteristic, complemented
3#13076937C211yesmaximal, characteristic, complemented
4#13076933C211yesmaximal, characteristic, complemented
5#13074711C211yesmaximal, characteristic, complemented
6#13074664C211yesmaximal, characteristic, complemented
7#13074649C211yesmaximal, characteristic, complemented
8#13074606C211yesmaximal, characteristic, complemented
9#13074093C211yesmaximal, characteristic, complemented
10#13073960C211yesmaximal, characteristic, complemented
11#13073954C211yesmaximal, characteristic, complemented
12#13073941C211yesmaximal, characteristic, complemented
13#13073926C211yesmaximal, characteristic, complemented
14#13073909C211yesmaximal, characteristic, complemented
15#13073837C211yesmaximal, characteristic, complemented
16#13073574C211yesmaximal, characteristic
17#13073357C211yesmaximal, characteristic, complemented
18#13073240C211yesmaximal, characteristic, complemented
19#13073174C211yesmaximal, characteristic, complemented
20#13072884C211yesmaximal, characteristic, complemented
21#13072689C211yesmaximal, characteristic, complemented
22#13072520C211yesmaximal, characteristic, complemented
23#13072364C211yesmaximal, characteristic, complemented
24#13072347C211yesmaximal, characteristic, complemented
25#13071314C211yesmaximal, characteristic, complemented
26#13071250C211yesmaximal, characteristic, complemented
27#13071249C211yesmaximal, characteristic, complemented
28C4×#66992C211yesmaximal, characteristic, complemented
29C2×#10622267C211yesmaximal, characteristic, complemented
30C4×D4×Dic11C211yesmaximal, characteristic, complemented
31C11×#2325C211yesmaximal, characteristic, complemented
32C2×C11×#121C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C2×#66992C2211yescharacteristic
36C2×#66992C2211yescharacteristic
37C2×#66988C2211yescharacteristic
38C2×D4×Dic11C2211yescharacteristic
39C2×D4×Dic11C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic
42C22×C4⋊Dic11C2211yescharacteristic
43C22×Dic11⋊C4C2211yescharacteristic
44C22×C4×Dic11C2211yescharacteristic
45C22×C4×Dic11C2211yescharacteristic
46C2×#66951C2211yescharacteristic
47C11×#388C2211yescharacteristic
48C11×#388C2211yescharacteristic
49C11×#387C2211yescharacteristic
50C11×#387C2211yescharacteristic
51C11×#386C2211yescharacteristic
52C11×#386C2211yescharacteristic
53C11×#386C2211yescharacteristic
54C11×#386C2211yescharacteristic
55C11×#385C2211yescharacteristic
56C11×#385C2211yescharacteristic
57C11×#380C2211yescharacteristic
58C2×C11×#95C2211yescharacteristic
59#10622836C2211yescharacteristic
60#10622835C2211yescharacteristic
61#10622833C2211yescharacteristic
62#10622833C2211yescharacteristic
63#10622833C2211yescharacteristic
64#10622833C2211yescharacteristic
65#10622833C2211yescharacteristic
66#10622826C2211yescharacteristic
67#10622826C2211yescharacteristic
68#10622826C2211yescharacteristic
69#10622825C2211yescharacteristic
70#10622824C2211yescharacteristic
71#10622823C2211yescharacteristic
72#10622823C2211yescharacteristic
73#10622823C2211yescharacteristic
74C4×C22⋊Dic11C2211yescharacteristic
75C4×C22⋊Dic11C2211yescharacteristic
76C4×C22⋊Dic11C2211yescharacteristic
77C2×C11⋊#95C2211yescharacteristic
78C2×C11⋊#95C2211yescharacteristic
79C2×C11⋊#95C2211yescharacteristic
80#10622607C2211yescharacteristic
81#10622603C2211yescharacteristic
82#10622603C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622597C2211yescharacteristic
85#10622597C2211yescharacteristic
86#10622596C2211yescharacteristic
87#10622595C2211yescharacteristic
88#10622594C2211yescharacteristic
89#10622594C2211yescharacteristic
90#10622594C2211yescharacteristic
91#10622593C2211yescharacteristic
92#10622591C2211yescharacteristic
93#10622591C2211yescharacteristic
94#10622591C2211yescharacteristic
95#10622591C2211yescharacteristic
96C4⋊C4×Dic11C2211yescharacteristic
97C4⋊C4×Dic11C2211yescharacteristic
98#10622585C2211yescharacteristic
99#10622574C2211yescharacteristic
100#10622574C2211yescharacteristic
101#10622574C2211yescharacteristic
102#10622574C2211yescharacteristic
103#10622571C2211yescharacteristic
104#10622571C2211yescharacteristic
105#10622571C2211yescharacteristic
106#10622571C2211yescharacteristic
107#10622570C2211yescharacteristic
108#10622569C2211yescharacteristic
109#10622566C2211yescharacteristic
110#10622565C2211yescharacteristic
111#10622565C2211yescharacteristic
112#10622565C2211yescharacteristic
113#10622565C2211yescharacteristic
114#10622564C2211yescharacteristic
115#10622564C2211yescharacteristic
116#10622564C2211yescharacteristic
117#10622564C2211yescharacteristic
118#10622563C2211yescharacteristic
119#10622563C2211yescharacteristic
120#10622563C2211yescharacteristic
121#10622563C2211yescharacteristic
122#10622562C2211yescharacteristic
123#10622561C2211yescharacteristic
124#10622561C2211yescharacteristic
125#10622559C2211yescharacteristic
126#10622558C2211yescharacteristic
127#10622558C2211yescharacteristic
128#10622558C2211yescharacteristic
129#10622557C2211yescharacteristic
130#10622557C2211yescharacteristic
131#10622557C2211yescharacteristic
132#10622556C2211yescharacteristic
133#10622555C2211yescharacteristic
134#10622555C2211yescharacteristic
135C22⋊C4×Dic11C2211yescharacteristic
136C22⋊C4×Dic11C2211yescharacteristic
137C22⋊C4×Dic11C2211yescharacteristic
138C22⋊C4×Dic11C2211yescharacteristic
139#10622553C2211yescharacteristic
140C4×(C2×D11)⋊C4C2211yescharacteristic
141#10622550C2211yescharacteristic
142#10622549C2211yescharacteristic
143C4×C4⋊Dic11C2211yescharacteristic
144#10622546C2211yescharacteristic
145C4×Dic11⋊C4C2211yescharacteristic
146C42×Dic11C2211yescharacteristic
147#10622288C2211yescharacteristic
148#10622287C2211yescharacteristic
149#10622283C2211yescharacteristic
150#10622283C2211yescharacteristic
151#10622283C2211yescharacteristic
152#10622282C2211yescharacteristic
153#10622282C2211yescharacteristic
154#10622282C2211yescharacteristic
155#10622280C2211yescharacteristic
156#10622277C2211yescharacteristic
157C11⋊#401C2211yescharacteristic
158#10622274C2211yescharacteristic
159#10622274C2211yescharacteristic
160#10622273C2211yescharacteristic
161#10622273C2211yescharacteristic
162#10622273C2211yescharacteristic
163#10622272C2211yescharacteristic
164#10622272C2211yescharacteristic
165#10622271C2211yescharacteristic
166#10622271C2211yescharacteristic
167#10622268C2211yescharacteristic
168#10622268C2211yescharacteristic
169#10622267C2211yescharacteristic
170#10622267C2211yescharacteristic
171#10622267C2211yescharacteristic
172#10622267C2211yescharacteristic
173#10622267C2211yescharacteristic
174#10622267C2211yescharacteristic
175#10622267C2211yescharacteristic
176#10622267C2211yescharacteristic
177#10622267C2211yescharacteristic
178#10622266C2211yescharacteristic
179#10622266C2211yescharacteristic
180#10622265C2211yescharacteristic
181#10622265C2211yescharacteristic
182#10622265C2211yescharacteristic
183#10622265C2211yescharacteristic
184#10622264C2211yescharacteristic
185#10622264C2211yescharacteristic
186#10622263C2211yescharacteristic
187C22×D4×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C11×#121—24no—
206C4×D4×C11—24no—
207C4×D4×C11—24no—
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
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
240#66992—24no—
241#66992—24no—
242#66988—42no—
243D4×Dic11—24no—
244D4×Dic11—24no—
245C4×C22⋊D11—24no—
246C4×C22⋊D11—42no—
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×C4⋊Dic11—24no—
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×Dic11⋊C4—42no—
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×C4×Dic11—42no—
286C2×C4×Dic11—42no—
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
300#66951—42no—
301C11×#95C2311yescharacteristic
302C11×#95C2311yescharacteristic
303C11×#95C2311yescharacteristic
304C11×#95C2311yescharacteristic
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
311C11⋊#95C2311yescharacteristic
312C11⋊#95C2311yescharacteristic
313C11⋊#95C2311yescharacteristic
314C11⋊#95C2311yescharacteristic
315C11⋊#95C2311yescharacteristic
316C11⋊#95C2311yescharacteristic
317C11⋊#95C2311yescharacteristic
318C11⋊#95C2311yescharacteristic
319C11⋊#95C2311yescharacteristic
320C11⋊#95C2311yescharacteristic
321C11⋊#95C2311yescharacteristic
322C11⋊#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357#35028—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C24×C11C2411yescharacteristic
360C24×C11C2411yescharacteristic
361C23×D11C2411yescharacteristic
362C2×D4×C11—22no—
363C2×D4×C11—22no—
364C2×D4×C11—22no—
365C2×D4×C11—22no—
366C2×D4×C11—22no—
367C2×D4×C11—22no—
368C2×D4×C11—41no—
369C2×D4×C11—41no—
370C2×D4×C11#4114yes—
371C22×C4×C11—22no—
372C22×C4×C11—22no—
373C22×C4×C11—22no—
374C22×C4×C11—22no—
375C22×C4×C11—41no—
376C22×C4×C11—41no—
377C22×C4×C11—41no—
378C22×C4×C11—41no—
379C22×C4×C11—41no—
380C22×C4×C11—41no—
381C22×C4×C11—41no—
382C22×C4×C11—41no—
383C22×C4×C11—41no—
384C22×C4×C11—41no—
385C22×C4×C11#4114yes—
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C2×C22⋊D11—22no—
399C2×C22⋊D11—22no—
400C2×C22⋊D11—22no—
401C2×C22⋊D11—22no—
402C2×C22⋊D11—22no—
403C2×C22⋊D11—41no—
404C2×C22⋊D11—41no—
405C2×C22⋊D11—41no—
406C2×C22⋊D11—41no—
407C22×Dic11—22no—
408C22×Dic11—22no—
409C22×Dic11—22no—
410C22×Dic11—22no—
411C22×Dic11—22no—
412C22×Dic11—22no—
413C22×Dic11—22no—
414C22×Dic11—41no—
415C22×Dic11—41no—
416C22×Dic11—41no—
417C22×Dic11—41no—
418C22×Dic11—41no—
419C22×Dic11—41no—
420C22×Dic11—41no—
421C22×Dic11—41no—
422C22×Dic11—41no—
423C22×Dic11—41no—
424C22×Dic11#4114yes—
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C2×C4×D11—22no—
441C2×C4×D11—41no—
442C2×C4×D11—41no—
443C11×C4⋊C4—22no—
444C11×C4⋊C4—22no—
445C11×C4⋊C4—22no—
446C11×C4⋊C4—41no—
447C11×C4⋊C4—41no—
448C11×C22⋊C4—22no—
449C11×C22⋊C4—22no—
450C11×C22⋊C4—22no—
451C11×C22⋊C4—22no—
452C11×C22⋊C4—22no—
453C11×C22⋊C4—22no—
454C11×C22⋊C4—41no—
455C11×C22⋊C4—41no—
456C11×C22⋊C4—41no—
457C11×C22⋊C4—41no—
458C42×C11—22no—
459C42×C11—22no—
460C22⋊Dic11—22no—
461C22⋊Dic11—22no—
462C22⋊Dic11—22no—
463C22⋊Dic11—22no—
464C22⋊Dic11—22no—
465C22⋊Dic11—22no—
466C22⋊Dic11—22no—
467C22⋊Dic11—22no—
468C22⋊Dic11—41no—
469C22⋊Dic11—41no—
470C22⋊Dic11—41no—
471C22⋊Dic11—41no—
472C22⋊Dic11—41no—
473C22⋊Dic11—41no—
474C22⋊Dic11—41no—
475(C2×D11)⋊C4—22no—
476(C2×D11)⋊C4—22no—
477(C2×D11)⋊C4—22no—
478(C2×D11)⋊C4—22no—
479(C2×D11)⋊C4—41no—
480(C2×D11)⋊C4—41no—
481(C2×D11)⋊C4—41no—
482(C2×D11)⋊C4—41no—
483(C2×D11)⋊C4—41no—
484(C2×D11)⋊C4—41no—
485(C2×D11)⋊C4—41no—
486C4⋊Dic11—22no—
487C4⋊Dic11—22no—
488C4⋊Dic11—22no—
489C4⋊Dic11—22no—
490C4⋊Dic11—22no—
491C4⋊Dic11—22no—
492C4⋊Dic11—41no—
493C4⋊Dic11—41no—
494C4⋊Dic11—41no—
495C4⋊Dic11—41no—
496Dic11⋊C4—22no—
497Dic11⋊C4—22no—
498Dic11⋊C4—22no—
499Dic11⋊C4—22no—
500Dic11⋊C4—22no—
501Dic11⋊C4—41no—
502Dic11⋊C4—41no—
503Dic11⋊C4—41no—
504Dic11⋊C4—41no—
505Dic11⋊C4—41no—
506Dic11⋊C4—41no—
507Dic11⋊C4—41no—
508Dic11⋊C4—41no—
509Dic11⋊C4—41no—
510Dic11⋊C4—41no—
511C4×Dic11—22no—
512C4×Dic11—22no—
513C4×Dic11—22no—
514C4×Dic11—22no—
515C4×Dic11—22no—
516C4×Dic11—22no—
517C4×Dic11—41no—
518C4×Dic11—41no—
519C4×Dic11—41no—
520C4×Dic11—41no—
521C4×Dic11—41no—
522C4×Dic11—41no—
523C4×Dic11—41no—
524#2866—111no—
525#2865—111no—
526#2853—111no—
527#2852—111no—
528#2655—111no—
529#2652—111no—
530#2651—111no—
531#2648—111no—
532#2591—111no—
533#2579—111no—
534#2578—111no—
535#2577—111no—
536#2576—111no—
537#2575—111no—
538#2569—111no—
539#2543—111no—
540#2524—111no—
541#2515—111no—
542#2510—111no—
543#2481—111no—
544#2468—111no—
545#2457—111no—
546#2444—111no—
547#2443—111no—
548#2325—111no—
549#2325D1111yescharacteristic, complemented
550#2318—111no—
551#2318—111no—
552C4×#121—111no—
553C2×#387—111no—
554C42×D4—111no—
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×C11—21no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11—21no—
569C23×C11—21no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11C2×#4112yes—
573C23×C11C2×#4112yes—
574C23×C11C2×#4112yes—
575C23×C11C2×#4112yes—
576C23×C11C2511yescharacteristic
577C22×D11—21no—
578C22×D11—21no—
579C22×D11—21no—
580C22×D11—21no—
581C22×D11—21no—
582C22×D11—21no—
583C22×D11—21no—
584D4×C11—28no—
585D4×C11—44no—
586D4×C11—82no—
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—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—44no—
621C2×C4×C11—44no—
622C2×C4×C11—44no—
623C2×C4×C11—82no—
624C2×C4×C11—82no—
625C2×C4×C11C2×#4112yes—
626C2×C4×C11C2×#4112yes—
627C2×C4×C11C2×#4112yes—
628C22⋊D11—44no—
629C22⋊D11—44no—
630C22⋊D11—82no—
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—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—44no—
674C2×Dic11—44no—
675C2×Dic11—44no—
676C2×Dic11—44no—
677C2×Dic11—44no—
678C2×Dic11—82no—
679C2×Dic11C2×#4112yes—
680C2×Dic11C2×#4112yes—
681C2×Dic11H(5,𝔽2)12yes—
682C4×D11—82no—
683C2×#126—111no—
684C2×#123—111no—
685C2×#121—111no—
686C2×#121—111no—
687C2×#121C2×D1111yescharacteristic
688C2×C4×D4—111no—
689C2×C4×D4—111no—
690C2×C4×D4—111no—
691C2×C4×D4—111no—
692C2×C4×D4C2×D1111yescharacteristic
693C2×C4×D4C2×D1111yescharacteristic
694C22×C4⋊C4—111no—
695C22×C4⋊C4—111no—
696C22×C42—111no—
697C22×C42—111no—
698#401—111no—
699#400—111no—
700#400—111no—
701#400—111no—
702#400—111no—
703#400—111no—
704#400—111no—
705#400—111no—
706#400—111no—
707#399—111no—
708#398—111no—
709#398—111no—
710#398—111no—
711#398—111no—
712#398—111no—
713#398—111no—
714#397—111no—
715#397—111no—
716#397—111no—
717#397—111no—
718#397—111no—
719#397—111no—
720#397—111no—
721#396—111no—
722#396—111no—
723#396—111no—
724#394—111no—
725#394—111no—
726#394—111no—
727#394—111no—
728#394—111no—
729#392—111no—
730#390—111no—
731#389—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#388—111no—
747#388—111no—
748#388—111no—
749#388—111no—
750#388—111no—
751#388C2×D1111yescharacteristic
752#388C2×D1111yescharacteristic
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#387—111no—
768#387—111no—
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#387—111no—
778#387C2×D1111yescharacteristic
779#387C2×D1111yescharacteristic
780#386—111no—
781#386—111no—
782#386—111no—
783#386—111no—
784#386—111no—
785#386—111no—
786#386—111no—
787#386—111no—
788#386—111no—
789#386—111no—
790#386—111no—
791#386—111no—
792#386—111no—
793#386C2×D1111yescharacteristic
794#386C2×D1111yescharacteristic
795#386C2×D1111yescharacteristic
796#386C2×D1111yescharacteristic
797#385—111no—
798#385—111no—
799#385—111no—
800#385—111no—
801#385—111no—
802#385—111no—
803#385—111no—
804#385—111no—
805#385—111no—
806#385C2×D1111yescharacteristic
807#385C2×D1111yescharacteristic
808#383—111no—
809#383—111no—
810#383—111no—
811#382—111no—
812#382—111no—
813#381—111no—
814#381—111no—
815#381—111no—
816#380—111no—
817#380—111no—
818#380—111no—
819#380—111no—
820#380C2×D1111yescharacteristic
821C4×C4⋊C4—111no—
822C4×C4⋊C4—111no—
823C4×C4⋊C4—111no—
824C4×C4⋊C4—111no—
825C4×C22⋊C4—111no—
826C4×C22⋊C4—111no—
827C4×C22⋊C4—111no—
828C4×C22⋊C4—111no—
829C4×C22⋊C4—111no—
830C4×C22⋊C4—111no—
831C4×C22⋊C4—111no—
832C4×C22⋊C4—111no—
833C2×#95—111no—
834C2×#95—111no—
835C2×#95—111no—
836C2×#95C2×D1111yescharacteristic
837C43—111no—
838C22×C11—22no—
839C22×C11—22no—
840C22×C11—22no—
841C22×C11—22no—
842C22×C11—22no—
843C22×C11—22no—
844C22×C11—22no—
845C22×C11—22no—
846C22×C11—22no—
847C22×C11—41no—
848C22×C11—41no—
849C22×C11—41no—
850C22×C11—41no—
851C22×C11—41no—
852C22×C11—41no—
853C22×C11—41no—
854C22×C11—41no—
855C22×C11—41no—
856C22×C11—41no—
857C22×C11—41no—
858C22×C11#52914yes—
859C22×C11C22×#4111yescharacteristic
860C22×C11C22×#4111yescharacteristic
861C22×C11C22×#4111yescharacteristic
862C22×C11C2×H(5,𝔽2)11yescharacteristic
863C22×C11#58511yescharacteristic
864C22×C11#58511yescharacteristic
865C22×C11#58511yescharacteristic
866C2×D11—41no—
867C2×D11—41no—
868C2×D11—41no—
869C2×D11—41no—
870C2×D11—41no—
871C2×D11—41no—
872C2×D11—41no—
873C4×C11—22no—
874C4×C11—22no—
875C4×C11—22no—
876C4×C11—41no—
877C4×C11—41no—
878C4×C11—41no—
879C4×C11—41no—
880C4×C11—41no—
881C4×C11—41no—
882C4×C11—41no—
883C4×C11—41no—
884C4×C11—41no—
885Dic11—22no—
886Dic11—22no—
887Dic11—22no—
888Dic11—41no—
889Dic11—41no—
890Dic11—41no—
891Dic11—41no—
892Dic11—41no—
893Dic11—41no—
894Dic11—41no—
895Dic11—41no—
896Dic11—41no—
897Dic11—41no—
898Dic11—41no—
899Dic11—41no—
900C22×D4—111no—
901C22×D4—111no—
902C22×D4—111no—
903C22×D4C22×D1111yescharacteristic
904C22×D4C22×D1111yescharacteristic
905C22×D4C22×D1111yescharacteristic
906C23×C4—111no—
907C23×C4—111no—
908C23×C4—111no—
909C23×C4—111no—
910C23×C4—111no—
911C23×C4—111no—
912C23×C4—111no—
913C23×C4C22×D1111yescharacteristic
914C23×C4C22×D1111yescharacteristic
915C23×C4C22×D1111yescharacteristic
916C23×C4C22×D1111yescharacteristic
917C23×C4C22×D1111yescharacteristic
918#126—442no—
919#123—442no—
920#121—24no—
921#121—224no—
922#121—224no—
923C4×D4—24no—
924C4×D4—24no—
925C4×D4—224no—
926C4×D4—224no—
927C4×D4—224no—
928C4×D4—442no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
931C2×C4⋊C4—111no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—111no—
937C2×C4⋊C4—111no—
938C2×C4⋊C4—111no—
939C2×C4⋊C4—111no—
940C2×C4⋊C4—111no—
941C2×C4⋊C4—111no—
942C2×C4⋊C4—111no—
943C2×C4⋊C4—111no—
944C2×C4⋊C4—111no—
945C2×C4⋊C4—111no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4—111no—
950C2×C4⋊C4—111no—
951C2×C4⋊C4—111no—
952C2×C4⋊C4—111no—
953C2×C4⋊C4—111no—
954C2×C4⋊C4—224no—
955C2×C4⋊C4—442no—
956C2×C4⋊C4C22×D1111yescharacteristic
957C2×C4⋊C4C22×D1111yescharacteristic
958C2×C4⋊C4C22×D1111yescharacteristic
959C2×C4⋊C4C22×D1111yescharacteristic
960C2×C4⋊C4C22×D1111yescharacteristic
961C2×C22⋊C4—111no—
962C2×C22⋊C4—111no—
963C2×C22⋊C4—111no—
964C2×C22⋊C4—111no—
965C2×C22⋊C4—111no—
966C2×C22⋊C4—111no—
967C2×C22⋊C4—111no—
968C2×C22⋊C4—111no—
969C2×C22⋊C4—111no—
970C2×C22⋊C4—111no—
971C2×C22⋊C4—111no—
972C2×C22⋊C4—111no—
973C2×C22⋊C4—111no—
974C2×C22⋊C4—111no—
975C2×C22⋊C4—111no—
976C2×C22⋊C4—111no—
977C2×C22⋊C4—111no—
978C2×C22⋊C4—111no—
979C2×C22⋊C4—111no—
980C2×C22⋊C4—111no—
981C2×C22⋊C4—111no—
982C2×C22⋊C4—111no—
983C2×C22⋊C4—111no—
984C2×C22⋊C4—111no—
985C2×C22⋊C4—111no—
986C2×C22⋊C4—111no—
987C2×C22⋊C4C22×D1111yescharacteristic
988C2×C22⋊C4C22×D1111yescharacteristic
989C2×C22⋊C4C22×D1111yescharacteristic
990C2×C22⋊C4C22×D1111yescharacteristic
991C2×C22⋊C4C22×D1111yescharacteristic
992C2×C22⋊C4C22×D1111yescharacteristic
993C2×C22⋊C4C22×D1111yescharacteristic
994C2×C22⋊C4C22×D1111yescharacteristic
995C2×C22⋊C4C22×D1111yescharacteristic
996C2×C22⋊C4C22×D1111yescharacteristic
997C2×C42—111no—
998C2×C42—111no—
999C2×C42—111no—
1000C2×C42—111no—
1001C2×C42—111no—
1002C2×C42—111no—
1003C2×C42—111no—
1004C2×C42—111no—
1005C2×C42—111no—
1006C2×C42—111no—
1007C2×C42—111no—
1008C2×C42—111no—
1009C2×C42—111no—
1010C2×C42—442no—
1011C2×C42—442no—
1012C2×C42C22×D1111yescharacteristic
1013C2×C42C22×D1111yescharacteristic
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#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95—111no—
1040#95—111no—
1041#95—111no—
1042#95—111no—
1043#95—111no—
1044#95—111no—
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95—111no—
1059#95—111no—
1060#95C22×D1111yescharacteristic
1061#95C22×D1111yescharacteristic
1062#95C22×D1111yescharacteristic
1063#95C22×D1111yescharacteristic
1064#95C22×D1111yescharacteristic
1065#95C22×D1111yescharacteristic
1066#95C22×D1111yescharacteristic
1067#95C22×D1111yescharacteristic
1068#95C22×D1111yescharacteristic
1069#95C22×D1111yescharacteristic
1070C2×C11—24no—
1071C2×C11—42no—
1072C2×C11—81no—
1073C2×C11C2×#52911yescharacteristic
1074C2×C11#345511yescharacteristic
1075C2×C11#345911yescharacteristic
1076C2×C11#350511yescharacteristic
1077C2×C11#351211yescharacteristic
1078C2×C11#351311yescharacteristic
1079C2×C11#352111yescharacteristic
1080D11—81no—
1081C24—111no—
1082C24C23×D1111yescharacteristic
1083C24C23×D1111yescharacteristic
1084C24C23×D1111yescharacteristic
1085C2×D4—22no—
1086C2×D4—22no—
1087C2×D4—22no—
1088C2×D4—22no—
1089C2×D4—22no—
1090C2×D4—22no—
1091C2×D4—41no—
1092C2×D4—41no—
1093C2×D4—222no—
1094C2×D4—222no—
1095C2×D4—222no—
1096C2×D4—222no—
1097C2×D4—222no—
1098C2×D4—441no—
1099C2×D4—441no—
1100C2×D4—441no—
1101C2×D4—441no—
1102C2×D4#433914yes—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—41no—
1108C22×C4—41no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—41no—
1113C22×C4—41no—
1114C22×C4—41no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—111no—
1118C22×C4—111no—
1119C22×C4—111no—
1120C22×C4—114no—
1121C22×C4—111no—
1122C22×C4—111no—
1123C22×C4—111no—
1124C22×C4—111no—
1125C22×C4—111no—
1126C22×C4—111no—
1127C22×C4—111no—
1128C22×C4—111no—
1129C22×C4—111no—
1130C22×C4—111no—
1131C22×C4—111no—
1132C22×C4—111no—
1133C22×C4—222no—
1134C22×C4—222no—
1135C22×C4—222no—
1136C22×C4—222no—
1137C22×C4—222no—
1138C22×C4—222no—
1139C22×C4—222no—
1140C22×C4—222no—
1141C22×C4—441no—
1142C22×C4—441no—
1143C22×C4—441no—
1144C22×C4—441no—
1145C22×C4—441no—
1146C22×C4—441no—
1147C22×C4—441no—
1148C22×C4—441no—
1149C22×C4—441no—
1150C22×C4—441no—
1151C22×C4—441no—
1152C22×C4—441no—
1153C22×C4#434114yes—
1154C22×C4C23×D1111yescharacteristic
1155C22×C4C23×D1111yescharacteristic
1156C22×C4C23×D1111yescharacteristic
1157C22×C4C23×D1111yescharacteristic
1158C22×C4C23×D1111yescharacteristic
1159C22×C4C23×D1111yescharacteristic
1160C22×C4C23×D1111yescharacteristic
1161C22×C4C23×D1111yescharacteristic
1162C22×C4C23×D1111yescharacteristic
1163C22×C4C23×D1111yescharacteristic
1164C22×C4C23×D1111yescharacteristic
1165C22×C4C23×D1111yescharacteristic
1166C4⋊C4—22no—
1167C4⋊C4—22no—
1168C4⋊C4—22no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—222no—
1172C4⋊C4—222no—
1173C4⋊C4—222no—
1174C4⋊C4—222no—
1175C4⋊C4—222no—
1176C4⋊C4—222no—
1177C4⋊C4—222no—
1178C4⋊C4—222no—
1179C4⋊C4—222no—
1180C4⋊C4—222no—
1181C4⋊C4—222no—
1182C4⋊C4—441no—
1183C4⋊C4—441no—
1184C4⋊C4—441no—
1185C4⋊C4—441no—
1186C4⋊C4—441no—
1187C4⋊C4—441no—
1188C4⋊C4—441no—
1189C4⋊C4—441no—
1190C4⋊C4—441no—
1191C4⋊C4—441no—
1192C4⋊C4—441no—
1193C4⋊C4—441no—
1194C4⋊C4—441no—
1195C4⋊C4—441no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
1202C22⋊C4—41no—
1203C22⋊C4—41no—
1204C22⋊C4—41no—
1205C22⋊C4—41no—
1206C22⋊C4—222no—
1207C22⋊C4—222no—
1208C22⋊C4—222no—
1209C22⋊C4—222no—
1210C22⋊C4—222no—
1211C22⋊C4—222no—
1212C22⋊C4—222no—
1213C22⋊C4—222no—
1214C22⋊C4—222no—
1215C22⋊C4—222no—
1216C22⋊C4—222no—
1217C22⋊C4—222no—
1218C22⋊C4—441no—
1219C22⋊C4—441no—
1220C22⋊C4—441no—
1221C22⋊C4—441no—
1222C22⋊C4—441no—
1223C22⋊C4—441no—
1224C22⋊C4—441no—
1225C22⋊C4—441no—
1226C22⋊C4—441no—
1227C22⋊C4—441no—
1228C22⋊C4—441no—
1229C22⋊C4—441no—
1230C22⋊C4—441no—
1231C22⋊C4—441no—
1232C42—22no—
1233C42—22no—
1234C42—222no—
1235C42—222no—
1236C42—222no—
1237C42—222no—
1238C42—222no—
1239C42—222no—
1240C42—441no—
1241C42—441no—
1242C42—441no—
1243C42—441no—
1244C42—441no—
1245C42—441no—
1246C42—441no—
1247C11#3502811yescharacteristic, complemented, Sylow
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—221no—
1266C23—221no—
1267C23—221no—
1268C23—221no—
1269C23—221no—
1270C23—221no—
1271C23—221no—
1272C23C2×#433912yes—
1273C23C2×#433912yes—
1274C23C2×#434112yes—
1275C23#41×D1112yes—
1276C23C24×D1111yescharacteristic
1277D4—28no—
1278D4—44no—
1279D4—82no—
1280D4—444no—
1281D4—444no—
1282D4—882no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—44no—
1317C2×C4—44no—
1318C2×C4—44no—
1319C2×C4—82no—
1320C2×C4—82no—
1321C2×C4—112no—
1322C2×C4—112no—
1323C2×C4—112no—
1324C2×C4—221no—
1325C2×C4—221no—
1326C2×C4—221no—
1327C2×C4—221no—
1328C2×C4—221no—
1329C2×C4—221no—
1330C2×C4—221no—
1331C2×C4—221no—
1332C2×C4—221no—
1333C2×C4—221no—
1334C2×C4—221no—
1335C2×C4—221no—
1336C2×C4—221no—
1337C2×C4—221no—
1338C2×C4—221no—
1339C2×C4—221no—
1340C2×C4—221no—
1341C2×C4—221no—
1342C2×C4—221no—
1343C2×C4—221no—
1344C2×C4—221no—
1345C2×C4—221no—
1346C2×C4—221no—
1347C2×C4—221no—
1348C2×C4—221no—
1349C2×C4—221no—
1350C2×C4—221no—
1351C2×C4—221no—
1352C2×C4—221no—
1353C2×C4—221no—
1354C2×C4—221no—
1355C2×C4—221no—
1356C2×C4—221no—
1357C2×C4—221no—
1358C2×C4—221no—
1359C2×C4—221no—
1360C2×C4—221no—
1361C2×C4—221no—
1362C2×C4—221no—
1363C2×C4—221no—
1364C2×C4—221no—
1365C2×C4—221no—
1366C2×C4—444no—
1367C2×C4—444no—
1368C2×C4—444no—
1369C2×C4—444no—
1370C2×C4—444no—
1371C2×C4—882no—
1372C2×C4—882no—
1373C2×C4C2×#433912yes—
1374C2×C4C2×#434112yes—
1375C2×C4C2×#434112yes—
1376C22—22no—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—22no—
1384C22—22no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—441no—
1397C22—441no—
1398C22—441no—
1399C22—441no—
1400C22—441no—
1401C22—441no—
1402C22—441no—
1403C22#1062306914yes—
1404C22C22×#433911yescharacteristic
1405C22C22×#434111yescharacteristic
1406C22C2×#41×D1111yescharacteristic
1407C22D11×H(5,𝔽2)11yescharacteristic
1408C22#1062345511yescharacteristic
1409C22#1062345511yescharacteristic
1410C22#1062345711yescharacteristic
1411C4—22no—
1412C4—22no—
1413C4—22no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—222no—
1424C4—222no—
1425C4—222no—
1426C4—441no—
1427C4—441no—
1428C4—441no—
1429C4—441no—
1430C4—441no—
1431C4—441no—
1432C4—441no—
1433C4—441no—
1434C4—441no—
1435C4—441no—
1436C4—441no—
1437C4—441no—
1438C2—24no—
1439C2—42no—
1440C2—81no—
1441C2—881no—
1442C2C2×#1062306911yescharacteristic
1443C2#1308199811yescharacteristic
1444C2#1308202411yescharacteristic
1445C2#1308245311yescharacteristic
1446C2#1308253711yescharacteristic
1447C2#1308254411yescharacteristic
1448C2#1308268611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2325C2
prime radical#13073574C2
hypercenter#2325D11
hypocenterC11#35028
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2325

Complements

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

NH ≅ G/Ntype
1. #13077009C2semidirect
2. #13077004C2semidirect
3. #13076937C2semidirect
4. #13076933C2semidirect
5. #13074711C2semidirect
6. #13074664C2semidirect
7. #13074649C2semidirect
8. #13074606C2semidirect
9. #13074093C2semidirect
10. #13073960C2semidirect
11. #13073954C2semidirect
12. #13073941C2semidirect
13. #13073926C2semidirect
14. #13073909C2semidirect
15. #13073837C2semidirect
17. #13073357C2semidirect
18. #13073240C2semidirect
19. #13073174C2semidirect
20. #13072884C2semidirect
21. #13072689C2semidirect
22. #13072520C2semidirect
23. #13072364C2semidirect
24. #13072347C2semidirect
25. #13071314C2semidirect
26. #13071250C2semidirect
27. #13071249C2semidirect
28. C4×#66992C2semidirect
29. C2×#10622267C2semidirect
30. C4×D4×Dic11C2semidirect
31. C11×#2325C2semidirect
549. #2325D11semidirect
1247. C11#35028semidirect

Maximal subgroups

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

subgroupindex
#130770092
#130770042
#130769372
#130769332
#130747112
#130746642
#130746492
#130746062
#130740932
#130739602
#130739542
#130739412
#130739262
#130739092
#130738372
#130735742
#130733572
#130732402
#130731742
#130728842
#130726892
#130725202
#130723642
#130723472
#130713142
#130712502
#130712492
C4×#669922
C2×#106222672
C4×D4×Dic112
C11×#23252
#3502811