Finite Group Databasebeta

← #14960634

Subgroups — #14960634

Order 2816.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623193C211yesmaximal, characteristic, complemented
2C2×#10623359C211yesmaximal, characteristic, complemented
3#13076907C211yesmaximal, characteristic, complemented
4#13076902C211yesmaximal, characteristic, complemented
5#13075165C211yesmaximal, characteristic, complemented
6#13075146C211yesmaximal, characteristic, complemented
7#13075111C211yesmaximal, characteristic, complemented
8#13075092C211yesmaximal, characteristic, complemented
9#13075066C211yesmaximal, characteristic, complemented
10#13075017C211yesmaximal, characteristic, complemented
11#13075006C211yesmaximal, characteristic, complemented
12#13074993C211yesmaximal, characteristic, complemented
13#13074930C211yesmaximal, characteristic, complemented
14#13074911C211yesmaximal, characteristic, complemented
15#13074899C211yesmaximal, characteristic, complemented
16#13074896C211yesmaximal, characteristic, complemented
17#13074861C211yesmaximal, characteristic, complemented
18#13074847C211yesmaximal, characteristic, complemented
19#13074841C211yesmaximal, characteristic, complemented
20#13074819C211yesmaximal, characteristic, complemented
21#13074537C211yesmaximal, characteristic, complemented
22#13074459C211yesmaximal, characteristic, complemented
23#13074290C211yesmaximal, characteristic, complemented
24#13074230C211yesmaximal, characteristic, complemented
25#13074189C211yesmaximal, characteristic, complemented
26#13074179C211yesmaximal, characteristic, complemented
27#13073973C211yesmaximal, characteristic, complemented
28#13073796C211yesmaximal, characteristic, complemented
29#13072240C211yesmaximal, characteristic, complemented
30#13071250C211yesmaximal, characteristic, complemented
31C11×#2430C211yesmaximal, characteristic, complemented
32C22×C11×#41C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#123C2211yescharacteristic, complemented
35C2×C11×#121C2211yescharacteristic
36C2×C11×#121C2211yescharacteristic, complemented
37#10623359—28no—
38C2×#66999C2211yescharacteristic
39C2×#66999C2211yescharacteristic
40C2×#66997C2211yescharacteristic, complemented
41C2×#66992C2211yescharacteristic
42C2×#66991C2211yescharacteristic
43C2×#66991C2211yescharacteristic
44C2×#66990C2211yescharacteristic
45C2×#66990C2211yescharacteristic
46C2×#66990C2211yescharacteristic
47C2×#66989C2211yescharacteristic
48C2×#66989C2211yescharacteristic, complemented
49C2×#66988C2211yescharacteristic
50C2×#66988C2211yescharacteristic
51C2×C4×C22⋊D11C2211yescharacteristic
52C2×C4×C22⋊D11C2211yescharacteristic
53C2×C4×C22⋊D11C2211yescharacteristic
54C2×C4×C22⋊D11C2211yescharacteristic
55C2×#66979C2211yescharacteristic
56C2×#66977C2211yescharacteristic, complemented
57#10623193—28no—
58C2×#66951C2211yescharacteristic
59C2×#66949C2211yescharacteristic
60C2×#66949C2211yescharacteristic
61C2×#66941C2211yescharacteristic, complemented
62C2×#66940C2211yescharacteristic, complemented
63C2×#66938C2211yescharacteristic
64C2×#66938C2211yescharacteristic
65C2×#66936C2211yescharacteristic
66C2×#66936C2211yescharacteristic
67C2×#66932C2211yescharacteristic, complemented
68C2×#66931C2211yescharacteristic
69C2×#66931C2211yescharacteristic, complemented
70C2×#66930C2211yescharacteristic, complemented
71C11×#395C2211yescharacteristic, complemented
72C11×#394C2211yescharacteristic
73C11×#393C2211yescharacteristic, complemented
74C11×#392C2211yescharacteristic
75C11×#386C2211yescharacteristic
76C11×#386C2211yescharacteristic
77C11×#386C2211yescharacteristic, complemented
78C11×#386C2211yescharacteristic, complemented
79C11×#385C2211yescharacteristic
80C11×#385C2211yescharacteristic, complemented
81C2×C11×#95C2211yescharacteristic, complemented
82#10622843C2211yescharacteristic, complemented
83#10622836C2211yescharacteristic
84#10622836C2211yescharacteristic
85#10622836C2211yescharacteristic
86#10622835C2211yescharacteristic
87#10622835C2211yescharacteristic
88#10622835C2211yescharacteristic
89#10622835C2211yescharacteristic, complemented
90#10622835C2211yescharacteristic, complemented
91#10622835C2211yescharacteristic, complemented
92#10622835C2211yescharacteristic, complemented
93#10622834C2211yescharacteristic
94#10622833C2211yescharacteristic
95#10622833C2211yescharacteristic
96#10622833C2211yescharacteristic, complemented
97#10622826C2211yescharacteristic
98#10622826C2211yescharacteristic
99#10622826C2211yescharacteristic
100#10622826C2211yescharacteristic
101#10622825C2211yescharacteristic, complemented
102#10622825C2211yescharacteristic, complemented
103#10622823C2211yescharacteristic
104#10622823C2211yescharacteristic
105#10622823C2211yescharacteristic, complemented
106#10622823C2211yescharacteristic, complemented
107#10622823C2211yescharacteristic, complemented
108#10622823C2211yescharacteristic, complemented
109C4×C22⋊Dic11C2211yescharacteristic, complemented
110#10622606C2211yescharacteristic
111#10622605C2211yescharacteristic
112#10622603C2211yescharacteristic
113#10622602C2211yescharacteristic
114#10622602C2211yescharacteristic
115#10622597C2211yescharacteristic, complemented
116#10622594C2211yescharacteristic, complemented
117#10622592C2211yescharacteristic, complemented
118#10622591C2211yescharacteristic, complemented
119#10622585C2211yescharacteristic, complemented
120#10622585C2211yescharacteristic, complemented
121#10622574C2211yescharacteristic
122#10622574C2211yescharacteristic
123#10622572C2211yescharacteristic
124#10622572C2211yescharacteristic
125#10622572C2211yescharacteristic
126#10622572C2211yescharacteristic
127#10622571C2211yescharacteristic
128#10622570C2211yescharacteristic
129#10622570C2211yescharacteristic
130#10622570C2211yescharacteristic
131#10622569C2211yescharacteristic
132#10622569C2211yescharacteristic
133#10622568C2211yescharacteristic
134#10622568C2211yescharacteristic
135#10622568C2211yescharacteristic
136#10622565C2211yescharacteristic
137#10622565C2211yescharacteristic, complemented
138#10622565C2211yescharacteristic, complemented
139#10622564C2211yescharacteristic
140#10622564C2211yescharacteristic, complemented
141#10622563C2211yescharacteristic
142#10622563C2211yescharacteristic, complemented
143#10622562C2211yescharacteristic, complemented
144#10622562C2211yescharacteristic, complemented
145#10622561C2211yescharacteristic
146#10622561C2211yescharacteristic, complemented
147#10622561C2211yescharacteristic, complemented
148#10622561C2211yescharacteristic, complemented
149#10622560C2211yescharacteristic
150#10622560C2211yescharacteristic, complemented
151#10622560C2211yescharacteristic, complemented
152#10622558C2211yescharacteristic
153#10622558C2211yescharacteristic
154#10622558C2211yescharacteristic, complemented
155#10622557C2211yescharacteristic, complemented
156#10622555C2211yescharacteristic
157#10622290C2211yescharacteristic
158#10622288C2211yescharacteristic
159#10622288C2211yescharacteristic
160#10622286C2211yescharacteristic
161#10622286C2211yescharacteristic
162#10622282C2211yescharacteristic
163#10622282C2211yescharacteristic
164#10622282C2211yescharacteristic
165#10622281C2211yescharacteristic
166#10622281C2211yescharacteristic
167#10622281C2211yescharacteristic
168#10622281C2211yescharacteristic
169#10622280C2211yescharacteristic
170#10622280C2211yescharacteristic
171#10622277C2211yescharacteristic
172#10622277C2211yescharacteristic
173#10622272C2211yescharacteristic, complemented
174#10622271C2211yescharacteristic, complemented
175#10622270C2211yescharacteristic, complemented
176#10622270C2211yescharacteristic, complemented
177#10622270C2211yescharacteristic, complemented
178#10622269C2211yescharacteristic, complemented
179#10622269C2211yescharacteristic, complemented
180#10622268C2211yescharacteristic, complemented
181#10622268C2211yescharacteristic, complemented
182#10622266C2211yescharacteristic, complemented
183#10622266C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622265C2211yescharacteristic, complemented
186#10622264C2211yescharacteristic, complemented
187#10622263C2211yescharacteristic, complemented
188#10622260C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C2×C11×#41—24no—
191C2×C11×#41—42no—
192C2×C11×#41—42no—
193C22×Q8×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C22×D4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C23×C4×C11C2311yescharacteristic
204C23×C4×C11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C23×Dic11C2311yescharacteristic
213C22×C4×D11—24no—
214C22×C4×D11—42no—
215C22×C4×D11—42no—
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×Dic22C2311yescharacteristic
221C22×Dic22C2311yescharacteristic
222C22×Dic22C2311yescharacteristic
223C11×#123—24no—
224C11×#121—42no—
225C11×#121—42no—
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264#66999—24no—
265#66999—24no—
266#66997—42no—
267#66992—24no—
268#66991—24no—
269#66991—24no—
270#66990—24no—
271#66990—24no—
272#66990—42no—
273#66989—24no—
274#66989—42no—
275#66988—24no—
276#66988—24no—
277C4×C22⋊D11—24no—
278C4×C22⋊D11—24no—
279C4×C22⋊D11—24no—
280C4×C22⋊D11D418yescomplemented
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299#66979—24no—
300C2×C4⋊Dic11C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×C4⋊Dic11C2311yescharacteristic
305C2×C4⋊Dic11C2311yescharacteristic
306C2×C4⋊Dic11C2311yescharacteristic
307C2×C4⋊Dic11C2311yescharacteristic
308#66977—24no—
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×Dic11⋊C4C2311yescharacteristic
328C2×Dic11⋊C4C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334C2×C4×Dic11C2311yescharacteristic
335C2×C4×Dic11C2311yescharacteristic
336#66951—24no—
337#66949—24no—
338#66949—42no—
339#66941—24no—
340#66940—24no—
341#66938—24no—
342#66938—24no—
343#66936—24no—
344#66936—42no—
345#66932—24no—
346#66931—24no—
347#66931—42no—
348#66930—24no—
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385#36712—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C24×C11C2411yescharacteristic
389C24×C11C2411yescharacteristic
390C23×D11—22no—
391C23×D11—22no—
392C23×D11—22no—
393C23×D11—41no—
394C23×D11—41no—
395C23×D11—41no—
396C23×D11—41no—
397C23×D11C2411yescharacteristic
398C23×D11C2411yescharacteristic
399C11×#41—416no—
400C2×Q8×C11—22no—
401C2×Q8×C11—22no—
402C2×Q8×C11—41no—
403C2×D4×C11—22no—
404C2×D4×C11—22no—
405C2×D4×C11—22no—
406C2×D4×C11—22no—
407C2×D4×C11—22no—
408C2×D4×C11—22no—
409C2×D4×C11—22no—
410C2×D4×C11—22no—
411C2×D4×C11—41no—
412C2×D4×C11—41no—
413C2×D4×C11—41no—
414C2×D4×C11—41no—
415C2×D4×C11—41no—
416C2×D4×C11—41no—
417C2×D4×C11—41no—
418C2×D4×C11—41no—
419C2×D4×C11—41no—
420C2×D4×C11—41no—
421C22×C4×C11—22no—
422C22×C4×C11—22no—
423C22×C4×C11—22no—
424C22×C4×C11—22no—
425C22×C4×C11—41no—
426C22×C4×C11—41no—
427C22×C4×C11—41no—
428C22×C4×C11—41no—
429C22×C4×C11—41no—
430C22×C4×C11—41no—
431C22×C4×C11—41no—
432C22×C4×C11—41no—
433C22×C4×C11—41no—
434C22×C4×C11—41no—
435C22×C4×C11C2×D414yes—
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
447C2×C22⋊D11—22no—
448C2×C22⋊D11—22no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11—22no—
451C2×C22⋊D11—22no—
452C2×C22⋊D11—22no—
453C2×C22⋊D11—22no—
454C2×C22⋊D11—41no—
455C2×C22⋊D11—41no—
456C2×C22⋊D11—41no—
457C2×C22⋊D11—41no—
458C2×C22⋊D11—41no—
459C2×C22⋊D11—41no—
460C2×C22⋊D11—41no—
461C2×C22⋊D11—41no—
462C2×C22⋊D11—41no—
463C2×C22⋊D11—41no—
464C2×C22⋊D11C2×D414yes—
465C22×Dic11—22no—
466C22×Dic11—22no—
467C22×Dic11—22no—
468C22×Dic11—41no—
469C22×Dic11—41no—
470C22×Dic11—41no—
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C2×C4×D11—22no—
486C2×C4×D11—22no—
487C2×C4×D11—22no—
488C2×C4×D11—22no—
489C2×C4×D11—22no—
490C2×C4×D11—41no—
491C2×C4×D11—41no—
492C2×C4×D11—41no—
493C2×C4×D11—41no—
494C2×C4×D11—41no—
495C2×C4×D11—41no—
496C2×C4×D11—416no—
497C2×C4×D11C2×D414yes—
498C2×Dic22—22no—
499C2×Dic22—22no—
500C2×Dic22—22no—
501C2×Dic22—41no—
502C2×Dic22—41no—
503C2×Dic22—41no—
504C2×Dic22—41no—
505C2×Dic22—41no—
506C2×Dic22—41no—
507C11×C4⋊C4—22no—
508C11×C4⋊C4—22no—
509C11×C4⋊C4—22no—
510C11×C4⋊C4—41no—
511C11×C22⋊C4—22no—
512C11×C22⋊C4—22no—
513C11×C22⋊C4—22no—
514C11×C22⋊C4—22no—
515C11×C22⋊C4—22no—
516C11×C22⋊C4—41no—
517C11×C22⋊C4—41no—
518C11×C22⋊C4—41no—
519C11×C22⋊C4—41no—
520C11×C22⋊C4—41no—
521C11×C22⋊C4—41no—
522C22⋊Dic11—22no—
523C22⋊Dic11—22no—
524C22⋊Dic11—22no—
525C22⋊Dic11—22no—
526C22⋊Dic11—22no—
527C22⋊Dic11—22no—
528C22⋊Dic11—22no—
529C22⋊Dic11—22no—
530C22⋊Dic11—22no—
531C22⋊Dic11—22no—
532C22⋊Dic11—22no—
533C22⋊Dic11—41no—
534C22⋊Dic11—41no—
535C22⋊Dic11—41no—
536C22⋊Dic11—41no—
537C22⋊Dic11—41no—
538C22⋊Dic11—41no—
539C22⋊Dic11—41no—
540C22⋊Dic11—41no—
541C22⋊Dic11—41no—
542C22⋊Dic11—41no—
543C22⋊Dic11—41no—
544C22⋊Dic11C2×D414yes—
545(C2×D11)⋊C4—22no—
546(C2×D11)⋊C4—22no—
547(C2×D11)⋊C4—22no—
548(C2×D11)⋊C4—22no—
549(C2×D11)⋊C4—22no—
550(C2×D11)⋊C4—22no—
551(C2×D11)⋊C4—22no—
552(C2×D11)⋊C4—41no—
553(C2×D11)⋊C4—41no—
554(C2×D11)⋊C4—41no—
555(C2×D11)⋊C4—41no—
556(C2×D11)⋊C4—41no—
557(C2×D11)⋊C4—41no—
558(C2×D11)⋊C4—41no—
559(C2×D11)⋊C4—41no—
560(C2×D11)⋊C4—41no—
561(C2×D11)⋊C4—41no—
562(C2×D11)⋊C4C2×D414yes—
563C4⋊Dic11—22no—
564C4⋊Dic11—22no—
565C4⋊Dic11—22no—
566C4⋊Dic11—22no—
567C4⋊Dic11—41no—
568C4⋊Dic11—41no—
569C4⋊Dic11—41no—
570C4⋊Dic11—41no—
571Dic11⋊C4—22no—
572Dic11⋊C4—22no—
573Dic11⋊C4—22no—
574Dic11⋊C4—22no—
575Dic11⋊C4—22no—
576Dic11⋊C4—22no—
577Dic11⋊C4—22no—
578Dic11⋊C4—22no—
579Dic11⋊C4—22no—
580Dic11⋊C4—22no—
581Dic11⋊C4—41no—
582Dic11⋊C4—41no—
583Dic11⋊C4—41no—
584Dic11⋊C4—41no—
585Dic11⋊C4—41no—
586Dic11⋊C4—41no—
587Dic11⋊C4—41no—
588Dic11⋊C4—41no—
589Dic11⋊C4—41no—
590Dic11⋊C4C2×D414yes—
591C4×Dic11—22no—
592C4×Dic11—22no—
593C4×Dic11—22no—
594C4×Dic11—22no—
595C4×Dic11—41no—
596C4×Dic11—41no—
597C4×Dic11C2×D414yes—
598C2×#542—111no—
599C2×#525—111no—
600#2849—111no—
601#2848—111no—
602#2696—111no—
603#2695—111no—
604#2692—111no—
605#2691—111no—
606#2689—111no—
607#2686—111no—
608#2685—111no—
609#2684—111no—
610#2677—111no—
611#2676—111no—
612#2674—111no—
613#2674—111no—
614#2672—111no—
615#2671—111no—
616#2670—111no—
617#2668—111no—
618#2638—111no—
619#2630—111no—
620#2609—111no—
621#2602—111no—
622#2599—111no—
623#2598—111no—
624#2580—111no—
625#2564—111no—
626#2432—111no—
627#2430D1111yescharacteristic, complemented
628#2318—111no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11C22×D412yes—
656C23×C11H(5,𝔽2)12yes—
657C23×C11C2511yescharacteristic
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11—21no—
664C22×D11—21no—
665C22×D11—21no—
666C22×D11—21no—
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—21no—
670C22×D11—44no—
671C22×D11—44no—
672C22×D11—44no—
673C22×D11—44no—
674C22×D11—44no—
675C22×D11—44no—
676C22×D11—44no—
677C22×D11C22×D412yes—
678C22×D112−1+412yes—
679Q8×C11—44no—
680D4×C11—44no—
681D4×C11—44no—
682D4×C11—44no—
683D4×C11—82no—
684D4×C11—82no—
685D4×C11—82no—
686C2×C4×C11—28no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—44no—
718C2×C4×C11—44no—
719C2×C4×C11—82no—
720C2×C4×C11—82no—
721C2×C4×C11C22×D412yes—
722C2×C4×C11C22×D412yes—
723C2×C4×C11H(5,𝔽2)12yes—
724C22⋊D11—44no—
725C22⋊D11—44no—
726C22⋊D11—44no—
727C22⋊D11—44no—
728C22⋊D11—82no—
729C22⋊D11—82no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—44no—
770C2×Dic11—44no—
771C2×Dic11C22×D412yes—
772C2×Dic11C22×D412yes—
773C2×Dic11C22×D412yes—
774C4×D11—44no—
775C4×D11—44no—
776C4×D11—44no—
777C4×D11—44no—
778Dic22—44no—
779Dic22—82no—
780Dic22—82no—
781C22×#41C2×D1111yescharacteristic
782C24×C4—111no—
783#542—228no—
784C2×C4⋊Q8—111no—
785C2×C4⋊Q8—111no—
786C2×#126—111no—
787C2×#126—111no—
788C2×#124—111no—
789C2×#124—111no—
790C2×#124—111no—
791C2×#124—111no—
792#525—228no—
793C2×#123—111no—
794C2×#123—111no—
795C2×#123—111no—
796C2×#123—111no—
797C2×#123C2×D1111yescharacteristic, complemented
798C2×C22⋊Q8—111no—
799C2×C22⋊Q8—111no—
800C2×C22⋊Q8—111no—
801C2×C22⋊Q8—111no—
802C2×C22⋊Q8—111no—
803C2×C22⋊Q8—111no—
804C2×C22⋊Q8—111no—
805C2×#121—111no—
806C2×#121—111no—
807C2×#121—111no—
808C2×#121C2×D1111yescharacteristic
809C2×#121C2×D1111yescharacteristic, complemented
810C2×#120—111no—
811C2×#120—111no—
812C2×#120—111no—
813C2×C4×Q8—111no—
814C2×C4×D4—111no—
815C2×C4×D4—111no—
816C2×C4×D4—111no—
817C2×C4×D4—111no—
818C2×#117—111no—
819C2×#117—111no—
820#400—111no—
821#400—111no—
822#399—111no—
823#399—111no—
824#399—111no—
825#399—111no—
826#398—111no—
827#398—111no—
828#398—111no—
829#398—111no—
830#397—111no—
831#397—111no—
832#397—111no—
833#397—111no—
834#397—111no—
835#397—111no—
836#396—111no—
837#396—111no—
838#396—111no—
839#396—111no—
840#395—111no—
841#395—111no—
842#395—111no—
843#395C2×D1111yescharacteristic, complemented
844#394—111no—
845#394—111no—
846#394—111no—
847#394—111no—
848#394—111no—
849#394—111no—
850#394—111no—
851#394—111no—
852#394—111no—
853#394—111no—
854#394—111no—
855#394—111no—
856#394—111no—
857#394C2×D1111yescharacteristic
858#393—111no—
859#393—111no—
860#393—111no—
861#393—111no—
862#393—111no—
863#393C2×D1111yescharacteristic, complemented
864#392—111no—
865#392—111no—
866#392—111no—
867#392C2×D1111yescharacteristic
868#391—111no—
869#390—111no—
870#390—111no—
871#390—111no—
872#390—111no—
873#389—111no—
874#389—111no—
875#389—111no—
876#388—111no—
877#388—111no—
878#388—111no—
879#388—111no—
880#388—111no—
881#388—111no—
882#388—111no—
883#388—111no—
884#388—111no—
885#388—111no—
886#387—111no—
887#387—111no—
888#387—111no—
889#387—111no—
890#387—111no—
891#387—111no—
892#387—111no—
893#387—111no—
894#386—111no—
895#386—111no—
896#386—111no—
897#386—111no—
898#386—111no—
899#386—111no—
900#386—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#386C2×D1111yescharacteristic
905#386C2×D1111yescharacteristic
906#386C2×D1111yescharacteristic, complemented
907#386C2×D1111yescharacteristic, complemented
908#385—111no—
909#385—111no—
910#385—111no—
911#385—111no—
912#385—111no—
913#385—111no—
914#385—111no—
915#385—111no—
916#385—111no—
917#385—111no—
918#385—111no—
919#385—111no—
920#385—111no—
921#385—111no—
922#385C2×D1111yescharacteristic
923#385C2×D1111yescharacteristic, complemented
924#383—111no—
925#382—111no—
926#381—111no—
927#381—111no—
928#380—111no—
929#380—111no—
930#380—111no—
931#380—111no—
932#380—111no—
933#379—111no—
934#379—111no—
935#379—111no—
936C4×C22⋊C4—111no—
937C2×#95C2×D1111yescharacteristic, complemented
938C22×C11—22no—
939C22×C11—22no—
940C22×C11—22no—
941C22×C11—22no—
942C22×C11—22no—
943C22×C11—22no—
944C22×C11—41no—
945C22×C11—41no—
946C22×C11—41no—
947C22×C11—41no—
948C22×C11—41no—
949C22×C11—41no—
950C22×C11—41no—
951C22×C11—41no—
952C22×C11—41no—
953C22×C11—41no—
954C22×C11—41no—
955C22×C11—41no—
956C22×C11—41no—
957C22×C11—41no—
958C22×C11—41no—
959C22×C11—41no—
960C22×C11—41no—
961C22×C11—41no—
962C22×C11—41no—
963C22×C11—41no—
964C22×C11—41no—
965C22×C11—41no—
966C22×C11C23×D411yescharacteristic
967C22×C11C2×H(5,𝔽2)11yescharacteristic
968C22×C11C2×H(5,𝔽2)11yescharacteristic
969C22×C11C2×2−1+411yescharacteristic
970C22×C11#58511yescharacteristic
971C22×C11#58511yescharacteristic
972C22×C11#58511yescharacteristic
973C2×D11—22no—
974C2×D11—22no—
975C2×D11—22no—
976C2×D11—22no—
977C2×D11—22no—
978C2×D11—22no—
979C2×D11—416no—
980C2×D11—41no—
981C2×D11—41no—
982C2×D11—41no—
983C2×D11—41no—
984C2×D11—41no—
985C2×D11—41no—
986C2×D11—41no—
987C2×D11—41no—
988C4×C11—22no—
989C4×C11—22no—
990C4×C11—22no—
991C4×C11—41no—
992C4×C11—41no—
993C4×C11—41no—
994C4×C11—41no—
995C4×C11—41no—
996C4×C11—41no—
997C4×C11—41no—
998C4×C11—41no—
999Dic11—22no—
1000Dic11—22no—
1001Dic11—22no—
1002Dic11—41no—
1003Dic11—41no—
1004Dic11—41no—
1005Dic11—41no—
1006Dic11—41no—
1007Dic11—41no—
1008Dic11—41no—
1009Dic11—41no—
1010Dic11—41no—
1011Dic11—41no—
1012Dic11—41no—
1013C25—111no—
1014C2×#41—24no—
1015C2×#41—42no—
1016C2×#41—42no—
1017C22×Q8—111no—
1018C22×Q8—111no—
1019C22×Q8—111no—
1020C22×Q8C22×D1111yescharacteristic
1021C22×D4—111no—
1022C22×D4—111no—
1023C22×D4—111no—
1024C22×D4—111no—
1025C22×D4—111no—
1026C22×D4—111no—
1027C22×D4C22×D1111yescharacteristic
1028C22×D4C22×D1111yescharacteristic
1029C22×D4C22×D1111yescharacteristic
1030C22×D4C22×D1111yescharacteristic
1031C22×D4C22×D1111yescharacteristic
1032C22×D4C22×D1111yescharacteristic
1033C23×C4—111no—
1034C23×C4—111no—
1035C23×C4—111no—
1036C23×C4—111no—
1037C23×C4—111no—
1038C23×C4—111no—
1039C23×C4—224no—
1040C23×C4—442no—
1041C23×C4—442no—
1042C23×C4C22×D1111yescharacteristic
1043C23×C4C22×D1111yescharacteristic
1044C23×C4C22×D1111yescharacteristic
1045C23×C4C22×D1111yescharacteristic
1046C23×C4C22×D1111yescharacteristic
1047C4⋊Q8—224no—
1048C4⋊Q8—442no—
1049#126—224no—
1050#126—224no—
1051#124—224no—
1052#124—224no—
1053#124—224no—
1054#124—442no—
1055#123—24no—
1056#123—224no—
1057#123—224no—
1058#123—224no—
1059#123—442no—
1060C22⋊Q8—224no—
1061C22⋊Q8—224no—
1062C22⋊Q8—224no—
1063C22⋊Q8—224no—
1064C22⋊Q8—224no—
1065C22⋊Q8—442no—
1066C22⋊Q8—442no—
1067#121—42no—
1068#121—42no—
1069#121—224no—
1070#121—224no—
1071#121—224no—
1072#120—224no—
1073#120—224no—
1074#120—442no—
1075C4×Q8—224no—
1076C4×D4—118no—
1077C4×D4—224no—
1078C4×D4—224no—
1079C4×D4—224no—
1080#117—224no—
1081#117—224no—
1082C2×C4⋊C4—111no—
1083C2×C4⋊C4—111no—
1084C2×C4⋊C4—111no—
1085C2×C4⋊C4—111no—
1086C2×C4⋊C4—111no—
1087C2×C4⋊C4—111no—
1088C2×C4⋊C4—111no—
1089C2×C4⋊C4—111no—
1090C2×C4⋊C4—111no—
1091C2×C4⋊C4—111no—
1092C2×C4⋊C4—111no—
1093C2×C4⋊C4—111no—
1094C2×C4⋊C4—111no—
1095C2×C4⋊C4—111no—
1096C2×C4⋊C4—111no—
1097C2×C4⋊C4—111no—
1098C2×C4⋊C4—111no—
1099C2×C4⋊C4—111no—
1100C2×C4⋊C4—111no—
1101C2×C4⋊C4—111no—
1102C2×C4⋊C4—111no—
1103C2×C4⋊C4—111no—
1104C2×C4⋊C4—111no—
1105C2×C4⋊C4—111no—
1106C2×C4⋊C4—111no—
1107C2×C4⋊C4—111no—
1108C2×C4⋊C4—111no—
1109C2×C4⋊C4—111no—
1110C2×C4⋊C4C22×D1111yescharacteristic
1111C2×C4⋊C4C22×D1111yescharacteristic
1112C2×C4⋊C4C22×D1111yescharacteristic
1113C2×C4⋊C4C22×D1111yescharacteristic
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—111no—
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4C22×D1111yescharacteristic
1156C2×C22⋊C4C22×D1111yescharacteristic
1157C2×C22⋊C4C22×D1111yescharacteristic
1158C2×C22⋊C4C22×D1111yescharacteristic
1159C2×C22⋊C4C22×D1111yescharacteristic
1160C2×C22⋊C4C22×D1111yescharacteristic
1161C2×C22⋊C4C22×D1111yescharacteristic
1162C2×C22⋊C4C22×D1111yescharacteristic
1163C2×C22⋊C4C22×D1111yescharacteristic
1164C2×C22⋊C4C22×D1111yescharacteristic
1165C2×C22⋊C4C22×D1111yescharacteristic
1166C2×C42—111no—
1167C2×C42—111no—
1168C2×C42—111no—
1169C2×C42—111no—
1170C2×C42—111no—
1171C2×C42—111no—
1172C2×C42—111no—
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95—111no—
1180#95—111no—
1181#95—111no—
1182#95—111no—
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95—111no—
1193#95—111no—
1194#95—111no—
1195#95—111no—
1196#95—111no—
1197#95—111no—
1198#95—111no—
1199#95—111no—
1200#95—111no—
1201#95C22×D1111yescharacteristic
1202#95C22×D1111yescharacteristic
1203#95C22×D1111yescharacteristic
1204#95C22×D1111yescharacteristic
1205#95C22×D1111yescharacteristic
1206#95C22×D1111yescharacteristic
1207#95C22×D1111yescharacteristic
1208#95C22×D1111yescharacteristic
1209C2×C11—42no—
1210C2×C11—42no—
1211C2×C11—81no—
1212C2×C11—81no—
1213C2×C11#344911yescharacteristic
1214C2×C11#348411yescharacteristic
1215C2×C11#348911yescharacteristic
1216C2×C11#353311yescharacteristic
1217C2×C11#353511yescharacteristic
1218C2×C11#354011yescharacteristic
1219C2×C11#354111yescharacteristic
1220D11—42no—
1221D11—42no—
1222C24—111no—
1223C24—111no—
1224C24—222no—
1225C24—222no—
1226C24—222no—
1227C24—441no—
1228C24—441no—
1229C24—441no—
1230C24—441no—
1231C24C23×D1111yescharacteristic
1232C24C23×D1111yescharacteristic
1233C24C23×D1111yescharacteristic
1234C24C23×D1111yescharacteristic
1235#41—416no—
1236C2×Q8—22no—
1237C2×Q8—22no—
1238C2×Q8—41no—
1239C2×Q8—222no—
1240C2×Q8—222no—
1241C2×Q8—222no—
1242C2×Q8—441no—
1243C2×Q8—441no—
1244C2×Q8—441no—
1245C2×Q8—441no—
1246C2×Q8—441no—
1247C2×Q8—441no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—114no—
1267C2×D4—222no—
1268C2×D4—222no—
1269C2×D4—222no—
1270C2×D4—222no—
1271C2×D4—222no—
1272C2×D4—222no—
1273C2×D4—222no—
1274C2×D4—441no—
1275C2×D4—441no—
1276C2×D4—441no—
1277C2×D4—441no—
1278C2×D4—441no—
1279C2×D4—441no—
1280C2×D4—441no—
1281C2×D4—441no—
1282C2×D4—441no—
1283C2×D4—441no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—111no—
1299C22×C4—111no—
1300C22×C4—111no—
1301C22×C4—114no—
1302C22×C4—111no—
1303C22×C4—111no—
1304C22×C4—111no—
1305C22×C4—111no—
1306C22×C4—111no—
1307C22×C4—111no—
1308C22×C4—111no—
1309C22×C4—111no—
1310C22×C4—111no—
1311C22×C4—111no—
1312C22×C4—111no—
1313C22×C4—222no—
1314C22×C4—222no—
1315C22×C4—222no—
1316C22×C4—222no—
1317C22×C4—222no—
1318C22×C4—222no—
1319C22×C4—222no—
1320C22×C4—222no—
1321C22×C4—441no—
1322C22×C4—441no—
1323C22×C4—441no—
1324C22×C4—441no—
1325C22×C4—441no—
1326C22×C4—441no—
1327C22×C4—4416no—
1328C22×C4—441no—
1329C22×C4—441no—
1330C22×C4—441no—
1331C22×C4D4×D1114yes—
1332C22×C4C23×D1111yescharacteristic
1333C22×C4C23×D1111yescharacteristic
1334C22×C4C23×D1111yescharacteristic
1335C22×C4C23×D1111yescharacteristic
1336C22×C4C23×D1111yescharacteristic
1337C22×C4C23×D1111yescharacteristic
1338C22×C4C23×D1111yescharacteristic
1339C22×C4C23×D1111yescharacteristic
1340C22×C4C23×D1111yescharacteristic
1341C22×C4C23×D1111yescharacteristic
1342C22×C4C23×D1111yescharacteristic
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—41no—
1347C4⋊C4—114no—
1348C4⋊C4—222no—
1349C4⋊C4—222no—
1350C4⋊C4—222no—
1351C4⋊C4—222no—
1352C4⋊C4—222no—
1353C4⋊C4—222no—
1354C4⋊C4—222no—
1355C4⋊C4—222no—
1356C4⋊C4—222no—
1357C4⋊C4—222no—
1358C4⋊C4—222no—
1359C4⋊C4—222no—
1360C4⋊C4—222no—
1361C4⋊C4—222no—
1362C4⋊C4—441no—
1363C4⋊C4—441no—
1364C4⋊C4—441no—
1365C4⋊C4—441no—
1366C4⋊C4—441no—
1367C4⋊C4—441no—
1368C4⋊C4—441no—
1369C4⋊C4—441no—
1370C4⋊C4—441no—
1371C4⋊C4—441no—
1372C4⋊C4—441no—
1373C4⋊C4—441no—
1374C4⋊C4—441no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—114no—
1387C22⋊C4—114no—
1388C22⋊C4—222no—
1389C22⋊C4—222no—
1390C22⋊C4—222no—
1391C22⋊C4—222no—
1392C22⋊C4—222no—
1393C22⋊C4—222no—
1394C22⋊C4—222no—
1395C22⋊C4—222no—
1396C22⋊C4—222no—
1397C22⋊C4—222no—
1398C22⋊C4—222no—
1399C22⋊C4—222no—
1400C22⋊C4—222no—
1401C22⋊C4—222no—
1402C22⋊C4—222no—
1403C22⋊C4—222no—
1404C22⋊C4—222no—
1405C22⋊C4—222no—
1406C22⋊C4—441no—
1407C22⋊C4—441no—
1408C22⋊C4—441no—
1409C22⋊C4—441no—
1410C22⋊C4—441no—
1411C22⋊C4—441no—
1412C22⋊C4—441no—
1413C22⋊C4—441no—
1414C22⋊C4—441no—
1415C22⋊C4—441no—
1416C22⋊C4—441no—
1417C22⋊C4—441no—
1418C22⋊C4—441no—
1419C22⋊C4—441no—
1420C22⋊C4—441no—
1421C22⋊C4—441no—
1422C22⋊C4—441no—
1423C22⋊C4—441no—
1424C22⋊C4—441no—
1425C22⋊C4—441no—
1426C22⋊C4—441no—
1427C42—114no—
1428C42—222no—
1429C42—222no—
1430C42—222no—
1431C42—222no—
1432C42—441no—
1433C42—441no—
1434C11#3671211yescharacteristic, complemented, Sylow
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—112no—
1462C23—112no—
1463C23—221no—
1464C23—221no—
1465C23—221no—
1466C23—221no—
1467C23—221no—
1468C23—221no—
1469C23—221no—
1470C23—221no—
1471C23—221no—
1472C23—221no—
1473C23—221no—
1474C23—221no—
1475C23—444no—
1476C23—444no—
1477C23—444no—
1478C23—444no—
1479C23—444no—
1480C23—444no—
1481C23—444no—
1482C23C2×D4×D1112yes—
1483C23#6703712yes—
1484C23C24×D1111yescharacteristic
1485Q8—44no—
1486Q8—444no—
1487Q8—882no—
1488Q8—882no—
1489D4—44no—
1490D4—44no—
1491D4—44no—
1492D4—82no—
1493D4—82no—
1494D4—82no—
1495D4—444no—
1496D4—444no—
1497D4—444no—
1498D4—444no—
1499D4—882no—
1500D4—882no—
1501C2×C4—28no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—44no—
1533C2×C4—44no—
1534C2×C4—82no—
1535C2×C4—82no—
1536C2×C4—112no—
1537C2×C4—112no—
1538C2×C4—112no—
1539C2×C4—221no—
1540C2×C4—221no—
1541C2×C4—221no—
1542C2×C4—221no—
1543C2×C4—221no—
1544C2×C4—221no—
1545C2×C4—221no—
1546C2×C4—221no—
1547C2×C4—221no—
1548C2×C4—221no—
1549C2×C4—221no—
1550C2×C4—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—221no—
1554C2×C4—221no—
1555C2×C4—221no—
1556C2×C4—221no—
1557C2×C4—221no—
1558C2×C4—221no—
1559C2×C4—221no—
1560C2×C4—221no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—221no—
1565C2×C4—221no—
1566C2×C4—221no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—221no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—221no—
1573C2×C4—221no—
1574C2×C4—221no—
1575C2×C4—221no—
1576C2×C4—221no—
1577C2×C4—221no—
1578C2×C4—444no—
1579C2×C4—444no—
1580C2×C4—444no—
1581C2×C4—444no—
1582C2×C4—444no—
1583C2×C4—444no—
1584C2×C4C2×D4×D1112yes—
1585C2×C4C2×D4×D1112yes—
1586C2×C4#6703712yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—222no—
1616C22—222no—
1617C22—222no—
1618C22—222no—
1619C22—222no—
1620C22—222no—
1621C22—4416no—
1622C22—441no—
1623C22—441no—
1624C22—441no—
1625C22—441no—
1626C22—441no—
1627C22—441no—
1628C22—441no—
1629C22—441no—
1630C22C22×D4×D1111yescharacteristic
1631C22C2×#6703711yescharacteristic
1632C22C2×#6703711yescharacteristic
1633C22#1062345311yescharacteristic
1634C22#1062345311yescharacteristic
1635C22#1062345511yescharacteristic
1636C22D11×2−1+411yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—222no—
1649C4—222no—
1650C4—222no—
1651C4—441no—
1652C4—441no—
1653C4—441no—
1654C4—441no—
1655C4—441no—
1656C4—441no—
1657C4—441no—
1658C4—441no—
1659C4—441no—
1660C4—441no—
1661C4—441no—
1662C2—42no—
1663C2—42no—
1664C2—81no—
1665C2—81no—
1666C2—442no—
1667C2—442no—
1668C2#1308194311yescharacteristic
1669C2#1308224511yescharacteristic
1670C2#1308229111yescharacteristic
1671C2#1308277511yescharacteristic
1672C2#1308281711yescharacteristic
1673C2#1308288011yescharacteristic
1674C2#1308289911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2430C2
hypercenter#2430D11
hypocenterC11#36712
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2430

Complements

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

NH ≅ G/Ntype
1. C2×#10623193C2semidirect
2. C2×#10623359C2semidirect
3. #13076907C2semidirect
4. #13076902C2semidirect
5. #13075165C2semidirect
6. #13075146C2semidirect
7. #13075111C2semidirect
8. #13075092C2semidirect
9. #13075066C2semidirect
10. #13075017C2semidirect
11. #13075006C2semidirect
12. #13074993C2semidirect
13. #13074930C2semidirect
14. #13074911C2semidirect
15. #13074899C2semidirect
16. #13074896C2semidirect
17. #13074861C2semidirect
18. #13074847C2semidirect
19. #13074841C2semidirect
20. #13074819C2semidirect
21. #13074537C2semidirect
22. #13074459C2semidirect
23. #13074290C2semidirect
24. #13074230C2semidirect
25. #13074189C2semidirect
26. #13074179C2semidirect
27. #13073973C2semidirect
28. #13073796C2semidirect
29. #13072240C2semidirect
30. #13071250C2semidirect
31. C11×#2430C2semidirect
34. C2×C11×#123C22semidirect
36. C2×C11×#121C22semidirect
40. C2×#66997C22semidirect
48. C2×#66989C22semidirect
56. C2×#66977C22semidirect
61. C2×#66941C22semidirect
62. C2×#66940C22semidirect
67. C2×#66932C22semidirect
69. C2×#66931C22semidirect
70. C2×#66930C22semidirect
71. C11×#395C22semidirect
73. C11×#393C22semidirect
77. C11×#386C22semidirect
78. C11×#386C22semidirect
80. C11×#385C22semidirect
81. C2×C11×#95C22semidirect
82. #10622843C22semidirect
89. #10622835C22semidirect
90. #10622835C22semidirect
91. #10622835C22semidirect
92. #10622835C22semidirect
96. #10622833C22semidirect
101. #10622825C22semidirect
102. #10622825C22semidirect
105. #10622823C22semidirect
106. #10622823C22semidirect
107. #10622823C22semidirect
108. #10622823C22semidirect
109. C4×C22⋊Dic11C22semidirect
115. #10622597C22semidirect
116. #10622594C22semidirect
117. #10622592C22semidirect
118. #10622591C22semidirect
119. #10622585C22semidirect
120. #10622585C22semidirect
137. #10622565C22semidirect
138. #10622565C22semidirect
140. #10622564C22semidirect
142. #10622563C22semidirect
143. #10622562C22semidirect
144. #10622562C22semidirect
146. #10622561C22semidirect
147. #10622561C22semidirect
148. #10622561C22semidirect
150. #10622560C22semidirect
151. #10622560C22semidirect
154. #10622558C22semidirect
155. #10622557C22semidirect
173. #10622272C22semidirect
174. #10622271C22semidirect
175. #10622270C22semidirect
176. #10622270C22semidirect
177. #10622270C22semidirect
178. #10622269C22semidirect
179. #10622269C22semidirect
180. #10622268C22semidirect
181. #10622268C22semidirect
182. #10622266C22semidirect
183. #10622266C22semidirect
184. #10622265C22semidirect
185. #10622265C22semidirect
186. #10622264C22semidirect
187. #10622263C22semidirect
188. #10622260C22semidirect
280. C4×C22⋊D11D4semidirect
627. #2430D11semidirect
797. C2×#123C2×D11semidirect
809. C2×#121C2×D11semidirect
843. #395C2×D11semidirect
863. #393C2×D11semidirect
906. #386C2×D11semidirect
907. #386C2×D11semidirect
923. #385C2×D11semidirect
937. C2×#95C2×D11semidirect
1434. C11#36712semidirect

Maximal subgroups

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

subgroupindex
C2×#106231932
C2×#106233592
#130769072
#130769022
#130751652
#130751462
#130751112
#130750922
#130750662
#130750172
#130750062
#130749932
#130749302
#130749112
#130748992
#130748962
#130748612
#130748472
#130748412
#130748192
#130745372
#130744592
#130742902
#130742302
#130741892
#130741792
#130739732
#130737962
#130722402
#130712502
C11×#24302
#3671211