Finite Group Databasebeta

← #14927122

Subgroups — #14927122

Order 2816.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1456 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13077007C211yesmaximal, characteristic, complemented
2#13077006C211yesmaximal, characteristic, complemented
3#13076937C211yesmaximal, characteristic, complemented
4#13076933C211yesmaximal, characteristic, complemented
5#13074700C211yesmaximal, characteristic, complemented
6#13074673C211yesmaximal, characteristic, complemented
7#13074638C211yesmaximal, characteristic, complemented
8#13074168C211yesmaximal, characteristic, complemented
9#13074145C211yesmaximal, characteristic, complemented
10#13074138C211yesmaximal, characteristic, complemented
11#13074115C211yesmaximal, characteristic, complemented
12#13073836C211yesmaximal, characteristic, complemented
13#13073791C211yesmaximal, characteristic, complemented
14#13073768C211yesmaximal, characteristic, complemented
15#13073501C211yesmaximal, characteristic
16#13073368C211yesmaximal, characteristic, complemented
17#13073243C211yesmaximal, characteristic, complemented
18#13072994C211yesmaximal, characteristic, complemented
19#13072865C211yesmaximal, characteristic, complemented
20#13072700C211yesmaximal, characteristic, complemented
21#13072539C211yesmaximal, characteristic, complemented
22#13072088C211yesmaximal, characteristic, complemented
23#13072071C211yesmaximal, characteristic
24#13071283C211yesmaximal, characteristic, complemented
25#13071272C211yesmaximal, characteristic
26#13071215C211yesmaximal, characteristic, complemented
27#13071210C211yesmaximal, characteristic, complemented
28#13071146C211yesmaximal, characteristic, complemented
29D11×#388C211yesmaximal, characteristic, complemented
30C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
31C11×#2649C211yesmaximal, characteristic, complemented
32C2×#66990C2211yescharacteristic
33C2×#66988C2211yescharacteristic
34C2×C4×C22⋊D11C2211yescharacteristic
35C22×C4×Dic11C2211yescharacteristic, complemented
36C2×#66951C2211yescharacteristic
37C2×#66950C2211yescharacteristic
38C2×C4⋊C4×D11C2211yescharacteristic
39C2×#66940C2211yescharacteristic, complemented
40C2×#66936C2211yescharacteristic
41C2×(C22⋊D11)⋊C4C2211yescharacteristic
42C2×(C22⋊D11)⋊C4C2211yescharacteristic
43C2×C22⋊C4×D11C2211yescharacteristic
44C2×C22⋊C4×D11C2211yescharacteristic
45C2×C22⋊C4×D11C2211yescharacteristic
46C2×C42×D11C2211yescharacteristic
47C11×#400C2211yescharacteristic, complemented
48C11×#400C2211yescharacteristic, complemented
49C11×#399C2211yescharacteristic, complemented
50C11×#397C2211yescharacteristic
51C11×#397C2211yescharacteristic, complemented
52C11×#396C2211yescharacteristic
53C11×#394C2211yescharacteristic
54C11×#394C2211yescharacteristic
55C11×#389C2211yescharacteristic, complemented
56C11×#388C2211yescharacteristic
57C11×#388C2211yescharacteristic
58C11×#387C2211yescharacteristic, complemented
59C11×#386C2211yescharacteristic
60C11×#385C2211yescharacteristic, complemented
61C4×C11×C22⋊C4C2211yescharacteristic, complemented
62#10622834C2211yescharacteristic
63#10622833C2211yescharacteristic
64#10622826C2211yescharacteristic
65#10622823C2211yescharacteristic, complemented
66#10622607C2211yescharacteristic
67#10622606C2211yescharacteristic
68#10622606C2211yescharacteristic
69#10622605C2211yescharacteristic
70#10622603C2211yescharacteristic
71#10622603C2211yescharacteristic
72#10622603C2211yescharacteristic
73#10622602C2211yescharacteristic
74#10622602C2211yescharacteristic
75#10622602C2211yescharacteristic
76#10622600C2211yescharacteristic
77#10622600C2211yescharacteristic
78#10622600C2211yescharacteristic
79#10622599C2211yescharacteristic, complemented
80#10622597C2211yescharacteristic, complemented
81#10622597C2211yescharacteristic, complemented
82#10622595C2211yescharacteristic, complemented
83#10622594C2211yescharacteristic, complemented
84#10622594C2211yescharacteristic, complemented
85#10622594C2211yescharacteristic, complemented
86#10622591C2211yescharacteristic, complemented
87#10622591C2211yescharacteristic, complemented
88#10622591C2211yescharacteristic, complemented
89#10622591C2211yescharacteristic, complemented
90C4⋊C4×Dic11C2211yescharacteristic, complemented
91C4⋊C4×Dic11C2211yescharacteristic, complemented
92C4⋊C4×Dic11C2211yescharacteristic, complemented
93#10622586C2211yescharacteristic, complemented
94#10622574C2211yescharacteristic
95#10622572C2211yescharacteristic
96#10622571C2211yescharacteristic
97#10622571C2211yescharacteristic
98#10622570C2211yescharacteristic
99#10622569C2211yescharacteristic
100#10622569C2211yescharacteristic
101#10622568C2211yescharacteristic
102#10622568C2211yescharacteristic
103#10622568C2211yescharacteristic
104#10622566C2211yescharacteristic
105#10622565C2211yescharacteristic
106#10622565C2211yescharacteristic, complemented
107#10622564C2211yescharacteristic
108#10622564C2211yescharacteristic
109#10622564C2211yescharacteristic
110#10622564C2211yescharacteristic
111#10622564C2211yescharacteristic
112#10622564C2211yescharacteristic, complemented
113#10622563C2211yescharacteristic, complemented
114#10622563C2211yescharacteristic, complemented
115#10622561C2211yescharacteristic
116#10622560C2211yescharacteristic
117#10622560C2211yescharacteristic, complemented
118#10622559C2211yescharacteristic, complemented
119#10622558C2211yescharacteristic
120#10622558C2211yescharacteristic
121#10622558C2211yescharacteristic
122#10622558C2211yescharacteristic
123#10622557C2211yescharacteristic
124#10622557C2211yescharacteristic
125#10622557C2211yescharacteristic
126#10622557C2211yescharacteristic
127#10622557C2211yescharacteristic
128#10622557C2211yescharacteristic, complemented
129#10622556C2211yescharacteristic, complemented
130C22⋊C4×Dic11C2211yescharacteristic, complemented
131C22⋊C4×Dic11C2211yescharacteristic, complemented
132#10622553C2211yescharacteristic
133#10622553C2211yescharacteristic
134C4×(C2×D11)⋊C4C2211yescharacteristic
135#10622546C2211yescharacteristic, complemented
136C4×Dic11⋊C4C2211yescharacteristic, complemented
137C42×Dic11C2211yescharacteristic, complemented
138#10622542C2211yescharacteristic, complemented
139#10622288C2211yescharacteristic
140#10622286C2211yescharacteristic
141#10622283C2211yescharacteristic
142#10622283C2211yescharacteristic
143#10622283C2211yescharacteristic
144#10622283C2211yescharacteristic
145#10622283C2211yescharacteristic
146#10622282C2211yescharacteristic
147#10622282C2211yescharacteristic
148#10622282C2211yescharacteristic
149#10622282C2211yescharacteristic
150#10622282C2211yescharacteristic
151#10622281C2211yescharacteristic
152#10622280C2211yescharacteristic
153#10622280C2211yescharacteristic
154#10622279C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622279C2211yescharacteristic
157#10622279C2211yescharacteristic
158#10622277C2211yescharacteristic
159#10622277C2211yescharacteristic
160#10622277C2211yescharacteristic
161D11×#95C2211yescharacteristic
162D11×#95C2211yescharacteristic
163C11⋊#401C2211yescharacteristic, complemented
164#10622273C2211yescharacteristic, complemented
165#10622272C2211yescharacteristic, complemented
166#10622271C2211yescharacteristic, complemented
167#10622270C2211yescharacteristic, complemented
168#10622269C2211yescharacteristic, complemented
169#10622268C2211yescharacteristic, complemented
170#10622268C2211yescharacteristic, complemented
171#10622268C2211yescharacteristic, complemented
172#10622267C2211yescharacteristic, complemented
173#10622267C2211yescharacteristic, complemented
174#10622267C2211yescharacteristic, complemented
175#10622267C2211yescharacteristic, complemented
176#10622266C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622265C2211yescharacteristic, complemented
183#10622264C2211yescharacteristic, complemented
184#10622262C2211yescharacteristic, complemented
185#10622262C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×Dic22C2311yescharacteristic
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×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×C11×C22⋊C4C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
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
233#66990—24no—
234#66988—42no—
235C4×C22⋊D11—24no—
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
278C2×C4×Dic11—42no—
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
294#66951—42no—
295#66950—24no—
296C4⋊C4×D11—24no—
297#66940—42no—
298#66936—24no—
299(C22⋊D11)⋊C4—24no—
300(C22⋊D11)⋊C4—24no—
301C22⋊C4×D11—24no—
302C22⋊C4×D11—24no—
303C22⋊C4×D11—42no—
304C42×D11—42no—
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#35027—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C24×C11C2411yescharacteristic
360C23×D11—22no—
361C23×D11—22no—
362C23×D11—22no—
363C23×D11—41no—
364C23×D11—41no—
365C23×D11—41no—
366C23×D11—41no—
367C23×D11C2411yescharacteristic
368C23×D11C2411yescharacteristic
369C2×D4×C11—22no—
370C2×D4×C11—41no—
371C2×D4×C11—41no—
372C22×C4×C11—22no—
373C22×C4×C11—41no—
374C22×C4×C11—41no—
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×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C2×C22⋊D11—22no—
389C2×C22⋊D11—22no—
390C2×C22⋊D11—22no—
391C2×C22⋊D11—41no—
392C2×C22⋊D11—41no—
393C2×C22⋊D11#4114yes—
394C22×Dic11—22no—
395C22×Dic11—22no—
396C22×Dic11—22no—
397C22×Dic11—41no—
398C22×Dic11—41no—
399C22×Dic11—41no—
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
413C22×Dic11C2411yescharacteristic
414C2×C4×D11—22no—
415C2×C4×D11—22no—
416C2×C4×D11—22no—
417C2×C4×D11—22no—
418C2×C4×D11—22no—
419C2×C4×D11—22no—
420C2×C4×D11—22no—
421C2×C4×D11—41no—
422C2×C4×D11—41no—
423C2×C4×D11—41no—
424C2×C4×D11—41no—
425C2×C4×D11—41no—
426C2×C4×D11—41no—
427C2×C4×D11—41no—
428C2×C4×D11—41no—
429C2×C4×D11—41no—
430C2×C4×D11#4114yes—
431C2×C4×D11#4114yes—
432C2×Dic22—22no—
433C2×Dic22—41no—
434C2×Dic22—41no—
435C11×C4⋊C4—22no—
436C11×C4⋊C4—22no—
437C11×C4⋊C4—41no—
438C11×C4⋊C4—41no—
439C11×C4⋊C4—41no—
440C11×C4⋊C4—41no—
441C11×C4⋊C4—41no—
442C11×C4⋊C4—41no—
443C11×C22⋊C4—22no—
444C11×C22⋊C4—22no—
445C11×C22⋊C4—22no—
446C11×C22⋊C4—22no—
447C11×C22⋊C4—22no—
448C11×C22⋊C4—41no—
449C11×C22⋊C4—41no—
450C11×C22⋊C4—41no—
451C11×C22⋊C4—41no—
452C11×C22⋊C4—41no—
453C11×C22⋊C4—41no—
454C42×C11—41no—
455C42×C11—41no—
456C22⋊Dic11—22no—
457C22⋊Dic11—22no—
458C22⋊Dic11—22no—
459C22⋊Dic11—22no—
460C22⋊Dic11—22no—
461C22⋊Dic11—22no—
462C22⋊Dic11—41no—
463C22⋊Dic11—41no—
464C22⋊Dic11—41no—
465C22⋊Dic11—41no—
466C22⋊Dic11—41no—
467(C2×D11)⋊C4—22no—
468(C2×D11)⋊C4—22no—
469(C2×D11)⋊C4—22no—
470(C2×D11)⋊C4—22no—
471(C2×D11)⋊C4—22no—
472(C2×D11)⋊C4—22no—
473(C2×D11)⋊C4—22no—
474(C2×D11)⋊C4—22no—
475(C2×D11)⋊C4—22no—
476(C2×D11)⋊C4—22no—
477(C2×D11)⋊C4—22no—
478(C2×D11)⋊C4—22no—
479(C2×D11)⋊C4—22no—
480(C2×D11)⋊C4—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—
486(C2×D11)⋊C4—41no—
487C4⋊Dic11—22no—
488C4⋊Dic11—22no—
489C4⋊Dic11—22no—
490C4⋊Dic11—22no—
491C4⋊Dic11—41no—
492C4⋊Dic11—41no—
493C4⋊Dic11—41no—
494C4⋊Dic11—41no—
495Dic11⋊C4—22no—
496Dic11⋊C4—22no—
497Dic11⋊C4—22no—
498Dic11⋊C4—22no—
499Dic11⋊C4—22no—
500Dic11⋊C4—22no—
501Dic11⋊C4—22no—
502Dic11⋊C4—22no—
503Dic11⋊C4—41no—
504Dic11⋊C4—41no—
505Dic11⋊C4—41no—
506Dic11⋊C4—41no—
507Dic11⋊C4—41no—
508Dic11⋊C4—41no—
509C4×Dic11—22no—
510C4×Dic11—22no—
511C4×Dic11—22no—
512C4×Dic11—22no—
513C4×Dic11—22no—
514C4×Dic11—22no—
515C4×Dic11—41no—
516C4×Dic11—41no—
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#2654—111no—
529#2653—111no—
530#2650—111no—
531#2649D1111yescharacteristic, complemented
532#2597—111no—
533#2596—111no—
534#2595—111no—
535#2594—111no—
536#2569—111no—
537#2564—111no—
538#2561—111no—
539#2534—111no—
540#2525—111no—
541#2516—111no—
542#2493—111no—
543#2480—111no—
544#2469—111no—
545#2458—111no—
546#2419—111no—
547#2418—111no—
548#2322—111no—
549#2321—111no—
550#2313—111no—
551#2312—111no—
552C4×C22⋊Q8—111no—
553C2×#388—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×C11C2×#4112yes—
569C23×C11C2511yescharacteristic
570C22×D11—21no—
571C22×D11—21no—
572C22×D11—21no—
573C22×D11—21no—
574C22×D11—21no—
575C22×D11—21no—
576C22×D11—21no—
577C22×D11—21no—
578C22×D11—21no—
579C22×D11—21no—
580C22×D11—21no—
581C22×D11—44no—
582C22×D11—44no—
583C22×D11—44no—
584C22×D11—82no—
585C22×D11—82no—
586C22×D11—82no—
587C22×D11—82no—
588C22×D11C2×#4112yes—
589C22×D11C2×#4112yes—
590C22×D11C2×#4112yes—
591D4×C11—82no—
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—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—44no—
630C2×C4×C11C2×#4112yes—
631C2×C4×C11C2×#4112yes—
632C22⋊D11—28no—
633C22⋊D11—82no—
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—44no—
673C2×Dic11—44no—
674C2×Dic11C2×#4112yes—
675C2×Dic11C2×#4112yes—
676C2×Dic11C2×#4112yes—
677C2×Dic11H(5,𝔽2)12yes—
678C4×D11—44no—
679C4×D11—44no—
680C4×D11—44no—
681C4×D11—44no—
682C4×D11—82no—
683C4×D11—82no—
684Dic22—44no—
685C2×#126—111no—
686C2×#123—111no—
687C2×#123—111no—
688C2×C22⋊Q8—111no—
689C2×#120—111no—
690C2×C4×Q8—111no—
691C2×C4×D4—111no—
692C2×C4×D4—111no—
693C2×C4×D4—111no—
694C22×C4⋊C4—111no—
695C22×C22⋊C4—111no—
696C22×C22⋊C4—111no—
697C22×C22⋊C4—111no—
698C22×C42—111no—
699C22×C42—111no—
700#401—111no—
701#400—111no—
702#400—111no—
703#400—111no—
704#400—111no—
705#400—111no—
706#400C2×D1111yescharacteristic, complemented
707#400C2×D1111yescharacteristic, complemented
708#399—111no—
709#399C2×D1111yescharacteristic, complemented
710#398—111no—
711#398—111no—
712#398—111no—
713#397—111no—
714#397—111no—
715#397—111no—
716#397—111no—
717#397—111no—
718#397—111no—
719#397C2×D1111yescharacteristic
720#397C2×D1111yescharacteristic, complemented
721#396—111no—
722#396—111no—
723#396C2×D1111yescharacteristic
724#395—111no—
725#394—111no—
726#394—111no—
727#394C2×D1111yescharacteristic
728#394C2×D1111yescharacteristic
729#393—111no—
730#393—111no—
731#393—111no—
732#391—111no—
733#390—111no—
734#390—111no—
735#389—111no—
736#389—111no—
737#389C2×D1111yescharacteristic, complemented
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#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#388—111no—
768#388—111no—
769#388C2×D1111yescharacteristic
770#388C2×D1111yescharacteristic
771#387—111no—
772#387—111no—
773#387—111no—
774#387—111no—
775#387—111no—
776#387—111no—
777#387—111no—
778#387—111no—
779#387—111no—
780#387—111no—
781#387—111no—
782#387—111no—
783#387—111no—
784#387—111no—
785#387—111no—
786#387—111no—
787#387—111no—
788#387—111no—
789#387—111no—
790#387—111no—
791#387—111no—
792#387—111no—
793#387C2×D1111yescharacteristic, complemented
794#386—111no—
795#386—111no—
796#386—111no—
797#386—111no—
798#386—111no—
799#386—111no—
800#386C2×D1111yescharacteristic
801#385—111no—
802#385—111no—
803#385—111no—
804#385—111no—
805#385—111no—
806#385—111no—
807#385—111no—
808#385—111no—
809#385C2×D1111yescharacteristic, complemented
810#383—111no—
811#381—111no—
812#381—111no—
813#381—111no—
814#381—111no—
815#380—111no—
816#380—111no—
817#380—111no—
818#380—111no—
819#380—111no—
820#379—111no—
821#379—111no—
822#379—111no—
823C4×C4⋊C4—111no—
824C4×C4⋊C4—111no—
825C4×C4⋊C4—111no—
826C4×C4⋊C4—111no—
827C4×C4⋊C4—111no—
828C4×C4⋊C4—111no—
829C4×C22⋊C4—111no—
830C4×C22⋊C4—111no—
831C4×C22⋊C4—111no—
832C4×C22⋊C4—111no—
833C4×C22⋊C4—111no—
834C4×C22⋊C4—111no—
835C4×C22⋊C4—111no—
836C4×C22⋊C4C2×D1111yescharacteristic, complemented
837C2×#95—111no—
838C2×#95—111no—
839C43—111no—
840C22×C11—22no—
841C22×C11—22no—
842C22×C11—22no—
843C22×C11—41no—
844C22×C11—41no—
845C22×C11—41no—
846C22×C11—41no—
847C22×C11—41no—
848C22×C11—41no—
849C22×C11—41no—
850C22×C11—41no—
851C22×C11—41no—
852C22×C11—41no—
853C22×C11—41no—
854C22×C11C22×#4111yescharacteristic
855C22×C11C22×#4111yescharacteristic
856C22×C11C22×#4111yescharacteristic
857C22×C11C2×H(5,𝔽2)11yescharacteristic
858C22×C11#58511yescharacteristic
859C22×C11#58511yescharacteristic
860C22×C11#58511yescharacteristic
861C2×D11—22no—
862C2×D11—22no—
863C2×D11—22no—
864C2×D11—22no—
865C2×D11—22no—
866C2×D11—22no—
867C2×D11—41no—
868C2×D11—41no—
869C2×D11—41no—
870C2×D11—41no—
871C2×D11—41no—
872C2×D11—41no—
873C2×D11—41no—
874C2×D11—88no—
875C2×D11#52914yes—
876C4×C11—22no—
877C4×C11—22no—
878C4×C11—41no—
879C4×C11—41no—
880C4×C11—41no—
881C4×C11—41no—
882C4×C11—41no—
883C4×C11—41no—
884C4×C11—41no—
885C4×C11—41no—
886C4×C11—41no—
887C4×C11—41no—
888C4×C11—41no—
889Dic11—22no—
890Dic11—22no—
891Dic11—22no—
892Dic11—22no—
893Dic11—41no—
894Dic11—41no—
895Dic11—41no—
896Dic11—41no—
897Dic11—41no—
898Dic11—41no—
899Dic11—41no—
900Dic11—41no—
901Dic11—41no—
902Dic11—41no—
903C25—111no—
904C22×Q8—111no—
905C22×D4—111no—
906C22×D4—111no—
907C22×D4C22×D1111yescharacteristic
908C23×C4—111no—
909C23×C4—111no—
910C23×C4—111no—
911C23×C4—111no—
912C23×C4—111no—
913C23×C4—111no—
914C23×C4—111no—
915C23×C4—111no—
916C23×C4C22×D1111yescharacteristic
917#126—442no—
918#123—224no—
919#123—442no—
920C22⋊Q8—224no—
921#120—224no—
922C4×Q8—442no—
923C4×D4—224no—
924C4×D4—224no—
925C4×D4—224no—
926C2×C4⋊C4—111no—
927C2×C4⋊C4—111no—
928C2×C4⋊C4—111no—
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—224no—
949C2×C4⋊C4C22×D1111yescharacteristic
950C2×C4⋊C4C22×D1111yescharacteristic
951C2×C4⋊C4C22×D1111yescharacteristic
952C2×C4⋊C4C22×D1111yescharacteristic
953C2×C4⋊C4C22×D1111yescharacteristic
954C2×C4⋊C4C22×D1111yescharacteristic
955C2×C4⋊C4C22×D1111yescharacteristic
956C2×C4⋊C4C22×D1111yescharacteristic
957C2×C22⋊C4—111no—
958C2×C22⋊C4—111no—
959C2×C22⋊C4—111no—
960C2×C22⋊C4—111no—
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⋊C4—111no—
988C2×C22⋊C4—224no—
989C2×C22⋊C4—224no—
990C2×C22⋊C4—442no—
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×C22⋊C4C22×D1111yescharacteristic
998C2×C22⋊C4C22×D1111yescharacteristic
999C2×C22⋊C4C22×D1111yescharacteristic
1000C2×C22⋊C4C22×D1111yescharacteristic
1001C2×C22⋊C4C22×D1111yescharacteristic
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—111no—
1011C2×C42—111no—
1012C2×C42—111no—
1013C2×C42—111no—
1014C2×C42—111no—
1015C2×C42—111no—
1016C2×C42—111no—
1017C2×C42—442no—
1018C2×C42—442no—
1019C2×C42C22×D1111yescharacteristic
1020C2×C42C22×D1111yescharacteristic
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#95—111no—
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
1070#95C22×D1111yescharacteristic
1071#95C22×D1111yescharacteristic
1072#95C22×D1111yescharacteristic
1073C2×C11—42no—
1074C2×C11—81no—
1075C2×C11C2×#52911yescharacteristic
1076C2×C11#345511yescharacteristic
1077C2×C11#345911yescharacteristic
1078C2×C11#350511yescharacteristic
1079C2×C11#351011yescharacteristic
1080C2×C11#351311yescharacteristic
1081C2×C11#352111yescharacteristic
1082D11—24no—
1083D11—81no—
1084C24—111no—
1085C24—111no—
1086C24—222no—
1087C24—222no—
1088C24—222no—
1089C24—441no—
1090C24—441no—
1091C24—441no—
1092C24—441no—
1093C24C23×D1111yescharacteristic
1094C24C23×D1111yescharacteristic
1095C2×Q8—222no—
1096C2×Q8—441no—
1097C2×Q8—441no—
1098C2×D4—22no—
1099C2×D4—41no—
1100C2×D4—41no—
1101C2×D4—114no—
1102C2×D4—222no—
1103C2×D4—222no—
1104C2×D4—222no—
1105C2×D4—441no—
1106C2×D4—441no—
1107C22×C4—22no—
1108C22×C4—41no—
1109C22×C4—41no—
1110C22×C4—111no—
1111C22×C4—111no—
1112C22×C4—111no—
1113C22×C4—111no—
1114C22×C4—114no—
1115C22×C4—114no—
1116C22×C4—111no—
1117C22×C4—111no—
1118C22×C4—111no—
1119C22×C4—111no—
1120C22×C4—111no—
1121C22×C4—111no—
1122C22×C4—111no—
1123C22×C4—111no—
1124C22×C4—111no—
1125C22×C4—111no—
1126C22×C4—222no—
1127C22×C4—222no—
1128C22×C4—222no—
1129C22×C4—222no—
1130C22×C4—222no—
1131C22×C4—222no—
1132C22×C4—222no—
1133C22×C4—222no—
1134C22×C4—222no—
1135C22×C4—222no—
1136C22×C4—441no—
1137C22×C4—441no—
1138C22×C4—441no—
1139C22×C4—441no—
1140C22×C4—441no—
1141C22×C4—441no—
1142C22×C4—441no—
1143C22×C4—441no—
1144C22×C4—441no—
1145C22×C4—441no—
1146C22×C4—441no—
1147C22×C4—441no—
1148C22×C4C23×D1111yescharacteristic
1149C22×C4C23×D1111yescharacteristic
1150C22×C4C23×D1111yescharacteristic
1151C22×C4C23×D1111yescharacteristic
1152C22×C4C23×D1111yescharacteristic
1153C22×C4C23×D1111yescharacteristic
1154C22×C4C23×D1111yescharacteristic
1155C22×C4C23×D1111yescharacteristic
1156C22×C4C23×D1111yescharacteristic
1157C22×C4C23×D1111yescharacteristic
1158C22×C4C23×D1111yescharacteristic
1159C22×C4C23×D1111yescharacteristic
1160C22×C4C23×D1111yescharacteristic
1161C4⋊C4—22no—
1162C4⋊C4—22no—
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—222no—
1170C4⋊C4—222no—
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—441no—
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—
1191C22⋊C4—22no—
1192C22⋊C4—22no—
1193C22⋊C4—22no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—41no—
1197C22⋊C4—41no—
1198C22⋊C4—41no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C22⋊C4—41no—
1202C22⋊C4—222no—
1203C22⋊C4—222no—
1204C22⋊C4—222no—
1205C22⋊C4—222no—
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—222no—
1219C22⋊C4—222no—
1220C22⋊C4—222no—
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—
1232C22⋊C4—441no—
1233C42—41no—
1234C42—41no—
1235C42—222no—
1236C42—222no—
1237C42—222no—
1238C42—222no—
1239C42—222no—
1240C42—222no—
1241C42—441no—
1242C42—441no—
1243C42—441no—
1244C42—441no—
1245C42—441no—
1246C42—441no—
1247C42—441no—
1248C42—441no—
1249C42—441no—
1250C11#3502711yescharacteristic, complemented, Sylow
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—112no—
1265C23—112no—
1266C23—112no—
1267C23—221no—
1268C23—221no—
1269C23—221no—
1270C23—221no—
1271C23—221no—
1272C23—221no—
1273C23—221no—
1274C23—221no—
1275C23—221no—
1276C23—221no—
1277C23—221no—
1278C23—444no—
1279C23—444no—
1280C23—444no—
1281C23—882no—
1282C23—882no—
1283C23—882no—
1284C23—882no—
1285C23#41×D1112yes—
1286C23C24×D1111yescharacteristic
1287Q8—444no—
1288D4—82no—
1289D4—228no—
1290D4—882no—
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—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—44no—
1329C2×C4—112no—
1330C2×C4—112no—
1331C2×C4—112no—
1332C2×C4—112no—
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—221no—
1367C2×C4—221no—
1368C2×C4—221no—
1369C2×C4—221no—
1370C2×C4—221no—
1371C2×C4—444no—
1372C2×C4—444no—
1373C2×C4—444no—
1374C2×C4—444no—
1375C2×C4—444no—
1376C2×C4—444no—
1377C2×C4—882no—
1378C2×C4—882no—
1379C2×C4#41×D1112yes—
1380C2×C4#41×D1112yes—
1381C22—22no—
1382C22—22no—
1383C22—22no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—114no—
1396C22—222no—
1397C22—222no—
1398C22—222no—
1399C22—222no—
1400C22—222no—
1401C22—222no—
1402C22—441no—
1403C22—441no—
1404C22—441no—
1405C22—441no—
1406C22—441no—
1407C22—441no—
1408C22—441no—
1409C22—888no—
1410C22C2×#41×D1111yescharacteristic
1411C22C2×#41×D1111yescharacteristic
1412C22C2×#41×D1111yescharacteristic
1413C22D11×H(5,𝔽2)11yescharacteristic
1414C22#1062345511yescharacteristic
1415C22#1062345511yescharacteristic
1416C22#1062345711yescharacteristic
1417C4—22no—
1418C4—22no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—222no—
1431C4—222no—
1432C4—222no—
1433C4—222no—
1434C4—441no—
1435C4—441no—
1436C4—441no—
1437C4—441no—
1438C4—441no—
1439C4—441no—
1440C4—441no—
1441C4—441no—
1442C4—441no—
1443C4—441no—
1444C2—42no—
1445C2—81no—
1446C2—224no—
1447C2—881no—
1448C2D11×#52911yescharacteristic
1449C2#1308200011yescharacteristic
1450C2#1308202411yescharacteristic
1451C2#1308245411yescharacteristic
1452C2#1308250811yescharacteristic
1453C2#1308255211yescharacteristic
1454C2#1308267411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2649C2
prime radicalC2×#66990C22
hypercenter#2649D11
hypocenterC11#35027
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2649

Complements

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

NH ≅ G/Ntype
1. #13077007C2semidirect
2. #13077006C2semidirect
3. #13076937C2semidirect
4. #13076933C2semidirect
5. #13074700C2semidirect
6. #13074673C2semidirect
7. #13074638C2semidirect
8. #13074168C2semidirect
9. #13074145C2semidirect
10. #13074138C2semidirect
11. #13074115C2semidirect
12. #13073836C2semidirect
13. #13073791C2semidirect
14. #13073768C2semidirect
16. #13073368C2semidirect
17. #13073243C2semidirect
18. #13072994C2semidirect
19. #13072865C2semidirect
20. #13072700C2semidirect
21. #13072539C2semidirect
22. #13072088C2semidirect
24. #13071283C2semidirect
26. #13071215C2semidirect
27. #13071210C2semidirect
28. #13071146C2semidirect
29. D11×#388C2semidirect
30. C4×(C22⋊D11)⋊C4C2semidirect
31. C11×#2649C2semidirect
35. C22×C4×Dic11C22semidirect
39. C2×#66940C22semidirect
47. C11×#400C22semidirect
48. C11×#400C22semidirect
49. C11×#399C22semidirect
51. C11×#397C22semidirect
55. C11×#389C22semidirect
58. C11×#387C22semidirect
60. C11×#385C22semidirect
61. C4×C11×C22⋊C4C22semidirect
65. #10622823C22semidirect
79. #10622599C22semidirect
80. #10622597C22semidirect
81. #10622597C22semidirect
82. #10622595C22semidirect
83. #10622594C22semidirect
84. #10622594C22semidirect
85. #10622594C22semidirect
86. #10622591C22semidirect
87. #10622591C22semidirect
88. #10622591C22semidirect
89. #10622591C22semidirect
90. C4⋊C4×Dic11C22semidirect
91. C4⋊C4×Dic11C22semidirect
92. C4⋊C4×Dic11C22semidirect
93. #10622586C22semidirect
106. #10622565C22semidirect
112. #10622564C22semidirect
113. #10622563C22semidirect
114. #10622563C22semidirect
117. #10622560C22semidirect
118. #10622559C22semidirect
128. #10622557C22semidirect
129. #10622556C22semidirect
130. C22⋊C4×Dic11C22semidirect
131. C22⋊C4×Dic11C22semidirect
135. #10622546C22semidirect
136. C4×Dic11⋊C4C22semidirect
137. C42×Dic11C22semidirect
138. #10622542C22semidirect
163. C11⋊#401C22semidirect
164. #10622273C22semidirect
165. #10622272C22semidirect
166. #10622271C22semidirect
167. #10622270C22semidirect
168. #10622269C22semidirect
169. #10622268C22semidirect
170. #10622268C22semidirect
171. #10622268C22semidirect
172. #10622267C22semidirect
173. #10622267C22semidirect
174. #10622267C22semidirect
175. #10622267C22semidirect
176. #10622266C22semidirect
177. #10622266C22semidirect
178. #10622266C22semidirect
179. #10622265C22semidirect
180. #10622265C22semidirect
181. #10622265C22semidirect
182. #10622265C22semidirect
183. #10622264C22semidirect
184. #10622262C22semidirect
185. #10622262C22semidirect
186. #10622260C22semidirect
531. #2649D11semidirect
706. #400C2×D11semidirect
707. #400C2×D11semidirect
709. #399C2×D11semidirect
720. #397C2×D11semidirect
737. #389C2×D11semidirect
793. #387C2×D11semidirect
809. #385C2×D11semidirect
836. C4×C22⋊C4C2×D11semidirect
1250. C11#35027semidirect

Maximal subgroups

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

subgroupindex
#130770072
#130770062
#130769372
#130769332
#130747002
#130746732
#130746382
#130741682
#130741452
#130741382
#130741152
#130738362
#130737912
#130737682
#130735012
#130733682
#130732432
#130729942
#130728652
#130727002
#130725392
#130720882
#130720712
#130712832
#130712722
#130712152
#130712102
#130711462
D11×#3882
C4×(C22⋊D11)⋊C42
C11×#26492
#3502711