Finite Group Databasebeta

← #14926043

Subgroups — #14926043

Order 2816.

2698 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623237C211yesmaximal, characteristic, complemented
2C2×#10623053C211yesmaximal, characteristic, complemented
3#13074215C211yesmaximal, characteristic, complemented
4#13074213C211yesmaximal, characteristic, complemented
5#13074207C211yesmaximal, characteristic, complemented
6#13074102C211yesmaximal, characteristic, complemented
7#13074002C211yesmaximal, characteristic, complemented
8#13073780C211yesmaximal, characteristic, complemented
9#13073553C211yesmaximal, characteristic, complemented
10#13073059C211yesmaximal, characteristic, complemented
11#13073057C211yesmaximal, characteristic, complemented
12#13072225C211yesmaximal, characteristic, complemented
13#13072223C211yesmaximal, characteristic, complemented
14#13072062C211yesmaximal, characteristic, complemented
15#13072060C211yesmaximal, characteristic, complemented
16#13072051C211yesmaximal, characteristic, complemented
17#13072049C211yesmaximal, characteristic, complemented
18#13071893C211yesmaximal, characteristic, complemented
19#13071891C211yesmaximal, characteristic, complemented
20#13071861C211yesmaximal, characteristic, complemented
21#13071859C211yesmaximal, characteristic, complemented
22#13071150C211yesmaximal, characteristic, complemented
23#13071148C211yesmaximal, characteristic, complemented
24#13071132C211yesmaximal, characteristic, complemented
25#13071128C211yesmaximal, characteristic, complemented
26#13071128C211yesmaximal, characteristic, complemented
27#13071128C211yesmaximal, characteristic, complemented
28#13071126C211yesmaximal, characteristic, complemented
29#13071124C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2601C211yesmaximal, characteristic, complemented
32C22×#4339C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic
34C2×C11×#117C2211yescharacteristic
35C2×#66992C2211yescharacteristic
36C2×#66991C2211yescharacteristic
37C2×D4×Dic11C2211yescharacteristic
38C22×C4×Dic11C2211yescharacteristic
39#10623237—28no—
40#10623053—28no—
41C2×#66949C2211yescharacteristic
42C2×#66949C2211yescharacteristic
43C2×#66948C2211yescharacteristic
44C2×#66947C2211yescharacteristic
45C2×#66946C2211yescharacteristic
46C2×#66946C2211yescharacteristic
47C2×#66946C2211yescharacteristic
48C2×#66946C2211yescharacteristic
49C2×#66945C2211yescharacteristic
50C2×C4⋊C4×D11C2211yescharacteristic
51C2×C4⋊C4×D11C2211yescharacteristic
52C2×#66942C2211yescharacteristic
53C2×#66940C2211yescharacteristic
54C2×#66940C2211yescharacteristic
55C2×#66940C2211yescharacteristic
56C2×#66938C2211yescharacteristic
57C2×#66937C2211yescharacteristic
58C2×#66937C2211yescharacteristic
59C2×#66937C2211yescharacteristic
60C2×#66937C2211yescharacteristic
61C2×#66936C2211yescharacteristic
62C2×(C22⋊D11)⋊C4C2211yescharacteristic
63C2×(C22⋊D11)⋊C4C2211yescharacteristic
64C2×(C22⋊D11)⋊C4C2211yescharacteristic
65C2×(C22⋊D11)⋊C4C2211yescharacteristic
66C2×(C22⋊D11)⋊C4C2211yescharacteristic
67C2×(C22⋊D11)⋊C4C2211yescharacteristic
68C2×(C22⋊D11)⋊C4C2211yescharacteristic
69C2×(C22⋊D11)⋊C4C2211yescharacteristic
70C2×#66931C2211yescharacteristic
71C2×#66930C2211yescharacteristic
72C2×#66929C2211yescharacteristic
73C2×#66925C2211yescharacteristic
74C2×#66925C2211yescharacteristic
75C2×C42×D11C2211yescharacteristic
76C2×C42×D11C2211yescharacteristic
77C2×C42×D11C2211yescharacteristic
78C2×C42×D11C2211yescharacteristic
79C11×#398C2211yescharacteristic
80C11×#396C2211yescharacteristic
81C11×#396C2211yescharacteristic
82C11×#394C2211yescharacteristic
83C11×#390C2211yescharacteristic
84C11×#389C2211yescharacteristic
85C11×#388C2211yescharacteristic
86C11×#388C2211yescharacteristic
87C11×#388C2211yescharacteristic
88C11×#387C2211yescharacteristic
89C11×#386C2211yescharacteristic
90C11×#385C2211yescharacteristic
91C4×C11×C4⋊C4C2211yescharacteristic
92#10622836C2211yescharacteristic
93#10622826C2211yescharacteristic
94#10622823C2211yescharacteristic
95#10622607C2211yescharacteristic
96#10622607C2211yescharacteristic
97#10622607C2211yescharacteristic
98#10622607C2211yescharacteristic
99#10622605C2211yescharacteristic
100#10622604C2211yescharacteristic
101#10622603C2211yescharacteristic
102#10622603C2211yescharacteristic
103#10622602C2211yescharacteristic
104#10622600C2211yescharacteristic
105#10622600C2211yescharacteristic
106#10622597C2211yescharacteristic
107#10622597C2211yescharacteristic
108#10622597C2211yescharacteristic
109#10622596C2211yescharacteristic
110#10622592C2211yescharacteristic
111#10622591C2211yescharacteristic
112C4⋊C4×Dic11C2211yescharacteristic
113C4⋊C4×Dic11C2211yescharacteristic
114C4⋊C4×Dic11C2211yescharacteristic
115C4⋊C4×Dic11C2211yescharacteristic
116#10622585C2211yescharacteristic
117#10622585C2211yescharacteristic
118#10622585C2211yescharacteristic
119#10622585C2211yescharacteristic
120#10622574C2211yescharacteristic
121#10622574C2211yescharacteristic
122#10622574C2211yescharacteristic
123#10622573C2211yescharacteristic
124#10622572C2211yescharacteristic
125#10622570C2211yescharacteristic
126#10622570C2211yescharacteristic
127#10622570C2211yescharacteristic
128#10622570C2211yescharacteristic
129#10622569C2211yescharacteristic
130#10622569C2211yescharacteristic
131#10622569C2211yescharacteristic
132#10622569C2211yescharacteristic
133#10622569C2211yescharacteristic
134#10622565C2211yescharacteristic
135#10622562C2211yescharacteristic
136#10622561C2211yescharacteristic
137#10622561C2211yescharacteristic
138#10622560C2211yescharacteristic
139#10622558C2211yescharacteristic
140#10622558C2211yescharacteristic
141#10622557C2211yescharacteristic
142#10622555C2211yescharacteristic
143#10622555C2211yescharacteristic
144C22⋊C4×Dic11C2211yescharacteristic
145C22⋊C4×Dic11C2211yescharacteristic
146C22⋊C4×Dic11C2211yescharacteristic
147C22⋊C4×Dic11C2211yescharacteristic
148#10622553C2211yescharacteristic
149#10622553C2211yescharacteristic
150#10622553C2211yescharacteristic
151#10622552C2211yescharacteristic
152C4×C4⋊Dic11C2211yescharacteristic
153#10622546C2211yescharacteristic
154C4×Dic11⋊C4C2211yescharacteristic
155C4×Dic11⋊C4C2211yescharacteristic
156#10622541C2211yescharacteristic
157#10622288C2211yescharacteristic
158#10622286C2211yescharacteristic
159#10622283C2211yescharacteristic
160#10622281C2211yescharacteristic
161#10622280C2211yescharacteristic
162#10622280C2211yescharacteristic
163#10622280C2211yescharacteristic
164#10622280C2211yescharacteristic
165#10622279C2211yescharacteristic
166#10622279C2211yescharacteristic
167#10622279C2211yescharacteristic
168#10622279C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic
174D11×#95C2211yescharacteristic
175D11×#95C2211yescharacteristic
176#10622273C2211yescharacteristic
177#10622271C2211yescharacteristic
178#10622270C2211yescharacteristic
179#10622269C2211yescharacteristic
180#10622266C2211yescharacteristic
181#10622262C2211yescharacteristic
182#10622262C2211yescharacteristic
183#10622262C2211yescharacteristic
184#10622262C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622260C2211yescharacteristic
187#10622259C2211yescharacteristic
188#10622259C2211yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C2×#4339—24no—
201C2×#4339—24no—
202C2×#4339—24no—
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×Dic22C2311yescharacteristic
218C22×Dic22C2311yescharacteristic
219C11×#126—24no—
220C11×#117—24no—
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
242C2×C42×C11C2311yescharacteristic
243C2×C42×C11C2311yescharacteristic
244C2×C42×C11C2311yescharacteristic
245C2×C42×C11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253#66992—24no—
254#66991—24no—
255D4×Dic11—42no—
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×C4×Dic11—24no—
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321#66949—24no—
322#66949—24no—
323#66948—24no—
324#66947—24no—
325#66946—24no—
326#66946—24no—
327#66946—24no—
328#66946—42no—
329#66945—24no—
330C4⋊C4×D11—24no—
331C4⋊C4×D11—24no—
332#66942—24no—
333#66940—24no—
334#66940—24no—
335#66940—24no—
336#66938—24no—
337#66937—24no—
338#66937—24no—
339#66937—24no—
340#66937—24no—
341#66936—24no—
342(C22⋊D11)⋊C4—24no—
343(C22⋊D11)⋊C4—24no—
344(C22⋊D11)⋊C4—24no—
345(C22⋊D11)⋊C4—24no—
346(C22⋊D11)⋊C4—24no—
347(C22⋊D11)⋊C4—24no—
348(C22⋊D11)⋊C4—42no—
349(C22⋊D11)⋊C4—42no—
350#66931—24no—
351#66930—24no—
352#66929—24no—
353#66925—24no—
354#66925—24no—
355C42×D11—24no—
356C42×D11—42no—
357C42×D11—42no—
358C42×D11D418yescomplemented
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
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391#34964—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C23×D11C2411yescharacteristic
395C23×D11C2411yescharacteristic
396C23×D11C2411yescharacteristic
397C2×D4×C11—22no—
398C2×D4×C11—22no—
399C2×D4×C11—41no—
400C22×C4×C11—22no—
401C22×C4×C11—22no—
402C22×C4×C11—22no—
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C2×C22⋊D11—22no—
417C2×C22⋊D11—22no—
418C2×C22⋊D11—22no—
419C2×C22⋊D11—22no—
420C2×C22⋊D11—22no—
421C2×C22⋊D11—22no—
422C2×C22⋊D11—22no—
423C2×C22⋊D11—22no—
424C2×C22⋊D11—22no—
425C2×C22⋊D11—22no—
426C2×C22⋊D11—22no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11—22no—
429C2×C22⋊D11—22no—
430C2×C22⋊D11—22no—
431C2×C22⋊D11—41no—
432C2×C22⋊D11—41no—
433C2×C22⋊D11#4114yes—
434C22×Dic11—22no—
435C22×Dic11—22no—
436C22×Dic11—22no—
437C22×Dic11—22no—
438C22×Dic11—22no—
439C22×Dic11—22no—
440C22×Dic11—22no—
441C22×Dic11—22no—
442C22×Dic11—22no—
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456#4339—232no—
457C2×D44—22no—
458C2×D44—22no—
459C2×D44—22no—
460C2×D44—22no—
461C2×D44—22no—
462C2×D44—22no—
463C2×D44—22no—
464C2×D44—41no—
465C2×D44#4114yes—
466C2×C4×D11—22no—
467C2×C4×D11—22no—
468C2×C4×D11—22no—
469C2×C4×D11—22no—
470C2×C4×D11—22no—
471C2×C4×D11—22no—
472C2×C4×D11—22no—
473C2×C4×D11—22no—
474C2×C4×D11—22no—
475C2×C4×D11—22no—
476C2×C4×D11—22no—
477C2×C4×D11—22no—
478C2×C4×D11—22no—
479C2×C4×D11—22no—
480C2×C4×D11—22no—
481C2×C4×D11—22no—
482C2×C4×D11—22no—
483C2×C4×D11—22no—
484C2×C4×D11—22no—
485C2×C4×D11—22no—
486C2×C4×D11—22no—
487C2×C4×D11—22no—
488C2×C4×D11—22no—
489C2×C4×D11—22no—
490C2×C4×D11—22no—
491C2×C4×D11—22no—
492C2×C4×D11—41no—
493C2×C4×D11—41no—
494C2×C4×D11—41no—
495C2×C4×D11—41no—
496C2×C4×D11C2×D414yes—
497C2×C4×D11C2×D414yes—
498C2×C4×D11C2×D414yes—
499C2×Dic22—22no—
500C2×Dic22—22no—
501C2×Dic22—22no—
502C2×Dic22—22no—
503C2×Dic22—22no—
504C2×Dic22—22no—
505C11×C4⋊C4—22no—
506C11×C4⋊C4—22no—
507C11×C4⋊C4—22no—
508C11×C4⋊C4—22no—
509C11×C4⋊C4—22no—
510C11×C4⋊C4—22no—
511C11×C4⋊C4—22no—
512C11×C4⋊C4—22no—
513C11×C4⋊C4—22no—
514C11×C4⋊C4—41no—
515C11×C22⋊C4—22no—
516C11×C22⋊C4—22no—
517C11×C22⋊C4—22no—
518C11×C22⋊C4—22no—
519C11×C22⋊C4—22no—
520C11×C22⋊C4—22no—
521C11×C22⋊C4—22no—
522C11×C22⋊C4—22no—
523C11×C22⋊C4—22no—
524C11×C22⋊C4—41no—
525C11×C22⋊C4—41no—
526C42×C11—22no—
527C42×C11—41no—
528C42×C11—41no—
529C42×C11C2×D414yes—
530C22⋊Dic11—22no—
531C22⋊Dic11—22no—
532C22⋊Dic11—22no—
533C22⋊Dic11—22no—
534C22⋊Dic11—22no—
535C22⋊Dic11—41no—
536C22⋊Dic11—41no—
537(C2×D11)⋊C4—22no—
538(C2×D11)⋊C4—22no—
539(C2×D11)⋊C4—22no—
540(C2×D11)⋊C4—22no—
541(C2×D11)⋊C4—22no—
542(C2×D11)⋊C4—22no—
543(C2×D11)⋊C4—22no—
544(C2×D11)⋊C4—22no—
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—22no—
553(C2×D11)⋊C4—22no—
554(C2×D11)⋊C4—22no—
555(C2×D11)⋊C4—41no—
556(C2×D11)⋊C4—41no—
557(C2×D11)⋊C4—41no—
558(C2×D11)⋊C4—41no—
559C4⋊Dic11—22no—
560C4⋊Dic11—22no—
561C4⋊Dic11—22no—
562C4⋊Dic11—22no—
563C4⋊Dic11—22no—
564C4⋊Dic11—41no—
565Dic11⋊C4—22no—
566Dic11⋊C4—22no—
567Dic11⋊C4—22no—
568Dic11⋊C4—22no—
569Dic11⋊C4—22no—
570Dic11⋊C4—22no—
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#4114yescomplemented
584Dic11⋊C4#4114yescomplemented
585C4×Dic11—22no—
586C4×Dic11—22no—
587C4×Dic11—22no—
588C4×Dic11—22no—
589C4×Dic11—22no—
590C4×Dic11—22no—
591C4×Dic11—22no—
592C4×Dic11—22no—
593C4×Dic11—22no—
594C4×Dic11—22no—
595C4×Dic11—22no—
596C4×Dic11—41no—
597C4×Dic11—41no—
598C4×Dic11C2×D414yes—
599C4×Dic11C2×D414yes—
600C4×Dic11C2×D414yes—
601C2×#529—111no—
602C2×C4×#41—111no—
603#2601—111no—
604#2601—111no—
605#2601—111no—
606#2601D1111yescharacteristic, complemented
607#2592—111no—
608#2584—111no—
609#2562—111no—
610#2540—111no—
611#2498—111no—
612#2498—111no—
613#2430—111no—
614#2430—111no—
615#2417—111no—
616#2417—111no—
617#2416—111no—
618#2416—111no—
619#2396—111no—
620#2396—111no—
621#2392—111no—
622#2392—111no—
623C4×C22⋊Q8—111no—
624C4×C22⋊Q8—111no—
625C4×#121—111no—
626C4×#121—111no—
627C4×#121—111no—
628C4×#121—111no—
629C4×#121—111no—
630C4×#121—111no—
631C2×C4×C4⋊C4—111no—
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×C11C2×#4112yes—
646C23×C11C2511yescharacteristic
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—21no—
655C22×D11—21no—
656C22×D11—21no—
657C22×D11—21no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11—21no—
664C22×D11C22×D412yes—
665C22×D11C2×#4112yes—
666C22×D11C2×#4112yes—
667C22×D11C2×#4112yes—
668D4×C11—44no—
669C2×C4×C11—28no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
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×C11C22×D412yes—
704C2×C4×C11C22×D412yes—
705C2×C4×C11C22×D412yes—
706C2×C4×C11C2×#4112yes—
707C2×C4×C11C2×#4112yes—
708C2×C4×C11C2×#4112yes—
709C22⋊D11—28no—
710C22⋊D11—28no—
711C22⋊D11—44no—
712C22⋊D11—44no—
713C22⋊D11—44no—
714C22⋊D11—44no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
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—44no—
745C2×Dic11—44no—
746C2×Dic11—44no—
747C2×Dic11C22×D412yes—
748C2×Dic11C22×D412yes—
749C2×Dic11C22×D412yes—
750C2×Dic11C2×#4112yes—
751C2×Dic11C2×#4112yes—
752C2×Dic11C2×#4112yes—
753C2×Dic11C2×#4112yes—
754C2×Dic11C2×#4112yes—
755C2×Dic11H(5,𝔽2)12yes—
756C2×Dic112−1+412yes—
757D44—28no—
758D44—44no—
759D44—44no—
760C4×D11—28no—
761C4×D11—28no—
762C4×D11—28no—
763C4×D11—28no—
764C4×D11—44no—
765C4×D11—44no—
766C4×D11—44no—
767C4×D11—44no—
768C4×D11—44no—
769C4×D11—44no—
770C4×D11—44no—
771Dic22—28no—
772Dic22—44no—
773C22×#41—111no—
774#529—228no—
775C2×#126—111no—
776C2×#126C2×D1111yescharacteristic
777C2×#125—111no—
778C2×#124—111no—
779C2×#123—111no—
780C2×#123—111no—
781C2×C22⋊Q8—111no—
782C2×C22⋊Q8—111no—
783C2×C22⋊Q8—111no—
784C2×#121—111no—
785C2×#121—111no—
786C2×#121—111no—
787C2×#121—111no—
788C2×#121—111no—
789C2×#121—111no—
790C2×#121—111no—
791C4×#41—228no—
792C2×C4×Q8—111no—
793C2×C4×Q8—111no—
794C2×C4×Q8—111no—
795C2×C4×D4—111no—
796C2×C4×D4—111no—
797C2×C4×D4—111no—
798C2×C4×D4—111no—
799C2×C4×D4—111no—
800C2×C4×D4—111no—
801C2×C4×D4—111no—
802C2×C4×D4—111no—
803C2×C4×D4—111no—
804C2×C4×D4—111no—
805C2×C4×D4—111no—
806C2×C4×D4—111no—
807C2×C4×D4—111no—
808C2×#117—111no—
809C2×#117—111no—
810C2×#117—111no—
811C2×#117—111no—
812C2×#117C2×D1111yescharacteristic
813C22×C4⋊C4—111no—
814C22×C4⋊C4—111no—
815C22×C42—111no—
816C22×C42—111no—
817C22×C42—111no—
818C22×C42—111no—
819C22×C42—111no—
820#400—111no—
821#400—111no—
822#399—111no—
823#399—111no—
824#398—111no—
825#398—111no—
826#398—111no—
827#398—111no—
828#398—111no—
829#398C2×D1111yescharacteristic
830#397—111no—
831#397—111no—
832#396—111no—
833#396—111no—
834#396—111no—
835#396—111no—
836#396—111no—
837#396—111no—
838#396C2×D1111yescharacteristic
839#396C2×D1111yescharacteristic
840#395—111no—
841#395—111no—
842#394—111no—
843#394—111no—
844#394—111no—
845#394—111no—
846#394—111no—
847#394C2×D1111yescharacteristic
848#393—111no—
849#393—111no—
850#392—111no—
851#392—111no—
852#391—111no—
853#391—111no—
854#390—111no—
855#390—111no—
856#390—111no—
857#390—111no—
858#390—111no—
859#390C2×D1111yescharacteristic
860#389—111no—
861#389—111no—
862#389—111no—
863#389—111no—
864#389—111no—
865#389—111no—
866#389—111no—
867#389C2×D1111yescharacteristic
868#388—111no—
869#388—111no—
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#388—111no—
877#388C2×D1111yescharacteristic
878#388C2×D1111yescharacteristic
879#388C2×D1111yescharacteristic
880#387—111no—
881#387—111no—
882#387—111no—
883#387C2×D1111yescharacteristic
884#386—111no—
885#386—111no—
886#386—111no—
887#386—111no—
888#386—111no—
889#386—111no—
890#386—111no—
891#386—111no—
892#386—111no—
893#386—111no—
894#386—111no—
895#386C2×D1111yescharacteristic
896#385—111no—
897#385—111no—
898#385—111no—
899#385C2×D1111yescharacteristic
900#380—111no—
901#380—111no—
902#380—111no—
903#380—111no—
904#380—111no—
905#380—111no—
906#380—111no—
907#380—111no—
908C4×C4⋊C4—111no—
909C4×C4⋊C4—111no—
910C4×C4⋊C4—111no—
911C4×C4⋊C4—111no—
912C4×C4⋊C4—111no—
913C4×C4⋊C4—111no—
914C4×C4⋊C4—111no—
915C4×C4⋊C4—111no—
916C4×C4⋊C4—111no—
917C4×C4⋊C4—111no—
918C4×C4⋊C4—111no—
919C4×C4⋊C4C2×D1111yescharacteristic
920C4×C22⋊C4—111no—
921C4×C22⋊C4—111no—
922C4×C22⋊C4—111no—
923C4×C22⋊C4—111no—
924C4×C22⋊C4—111no—
925C4×C22⋊C4—111no—
926C4×C22⋊C4—111no—
927C4×C22⋊C4—111no—
928C2×#95—111no—
929C2×#95—111no—
930C22×C11—22no—
931C22×C11—22no—
932C22×C11—22no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11—41no—
936C22×C11—41no—
937C22×C11—41no—
938C22×C11—41no—
939C22×C11—41no—
940C22×C11—41no—
941C22×C11—41no—
942C22×C11—41no—
943C22×C11—41no—
944C22×C11C23×D411yescharacteristic
945C22×C11C22×#4111yescharacteristic
946C22×C11C22×#4111yescharacteristic
947C22×C11C22×#4111yescharacteristic
948C22×C11C22×#4111yescharacteristic
949C22×C11C2×H(5,𝔽2)11yescharacteristic
950C22×C11C2×2−1+411yescharacteristic
951C2×D11—22no—
952C2×D11—22no—
953C2×D11—22no—
954C2×D11—22no—
955C2×D11—22no—
956C2×D11—22no—
957C2×D11—22no—
958C2×D11—22no—
959C2×D11—22no—
960C2×D11—41no—
961C2×D11—41no—
962C2×D11—41no—
963C2×D11—41no—
964C2×D11—41no—
965C2×D11—41no—
966C2×D11—41no—
967C2×D11—41no—
968C2×D11—41no—
969C2×D11—41no—
970C2×D11—41no—
971C2×D11#52514yes—
972C4×C11—22no—
973C4×C11—22no—
974C4×C11—22no—
975C4×C11—22no—
976C4×C11—22no—
977C4×C11—22no—
978C4×C11—41no—
979C4×C11—41no—
980C4×C11—41no—
981C4×C11—41no—
982C4×C11—41no—
983C4×C11—41no—
984C4×C11—41no—
985Dic11—22no—
986Dic11—22no—
987Dic11—22no—
988Dic11—22no—
989Dic11—41no—
990Dic11—41no—
991Dic11—41no—
992Dic11—41no—
993Dic11—41no—
994Dic11—41no—
995Dic11—41no—
996Dic11#53214yes—
997Dic11#53714yes—
998C2×#41—224no—
999C2×#41—224no—
1000C2×#41—224no—
1001C22×Q8—111no—
1002C22×Q8—111no—
1003C22×D4—111no—
1004C22×D4—111no—
1005C22×D4—111no—
1006C22×D4—111no—
1007C22×D4—111no—
1008C22×D4—111no—
1009C22×D4—111no—
1010C22×D4—111no—
1011C22×D4—111no—
1012C22×D4C22×D1111yescharacteristic
1013C23×C4—111no—
1014C23×C4—111no—
1015C23×C4—111no—
1016C23×C4—111no—
1017C23×C4—111no—
1018C23×C4—111no—
1019C23×C4—111no—
1020C23×C4—111no—
1021C23×C4—111no—
1022C23×C4—111no—
1023C23×C4—111no—
1024C23×C4—111no—
1025C23×C4—111no—
1026C23×C4—111no—
1027C23×C4C22×D1111yescharacteristic
1028#126—24no—
1029#126—224no—
1030#125—224no—
1031#124—224no—
1032#123—224no—
1033#123—224no—
1034C22⋊Q8—224no—
1035C22⋊Q8—224no—
1036C22⋊Q8—224no—
1037#121—224no—
1038#121—224no—
1039#121—224no—
1040#121—224no—
1041#121—224no—
1042#121—224no—
1043#121—224no—
1044C4×Q8—224no—
1045C4×Q8—224no—
1046C4×Q8—224no—
1047C4×D4—224no—
1048C4×D4—224no—
1049C4×D4—224no—
1050C4×D4—224no—
1051C4×D4—224no—
1052C4×D4—224no—
1053C4×D4—224no—
1054C4×D4—224no—
1055C4×D4—224no—
1056C4×D4—442no—
1057C4×D4—442no—
1058C4×D4—442no—
1059C4×D4—442no—
1060#117—24no—
1061#117—224no—
1062#117—224no—
1063#117—224no—
1064#117—224no—
1065C2×C4⋊C4—111no—
1066C2×C4⋊C4—111no—
1067C2×C4⋊C4—111no—
1068C2×C4⋊C4—111no—
1069C2×C4⋊C4—111no—
1070C2×C4⋊C4—111no—
1071C2×C4⋊C4—111no—
1072C2×C4⋊C4—111no—
1073C2×C4⋊C4—111no—
1074C2×C4⋊C4—111no—
1075C2×C4⋊C4—111no—
1076C2×C4⋊C4—111no—
1077C2×C4⋊C4—111no—
1078C2×C4⋊C4—111no—
1079C2×C4⋊C4—111no—
1080C2×C4⋊C4—111no—
1081C2×C4⋊C4—111no—
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—224no—
1092C2×C4⋊C4—224no—
1093C2×C4⋊C4C22×D1111yescharacteristic
1094C2×C4⋊C4C22×D1111yescharacteristic
1095C2×C4⋊C4C22×D1111yescharacteristic
1096C2×C4⋊C4C22×D1111yescharacteristic
1097C2×C4⋊C4C22×D1111yescharacteristic
1098C2×C4⋊C4C22×D1111yescharacteristic
1099C2×C4⋊C4C22×D1111yescharacteristic
1100C2×C4⋊C4C22×D1111yescharacteristic
1101C2×C4⋊C4C22×D1111yescharacteristic
1102C2×C4⋊C4C22×D1111yescharacteristic
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
1133C2×C22⋊C4C22×D1111yescharacteristic
1134C2×C22⋊C4C22×D1111yescharacteristic
1135C2×C22⋊C4C22×D1111yescharacteristic
1136C2×C22⋊C4C22×D1111yescharacteristic
1137C2×C22⋊C4C22×D1111yescharacteristic
1138C2×C22⋊C4C22×D1111yescharacteristic
1139C2×C22⋊C4C22×D1111yescharacteristic
1140C2×C22⋊C4C22×D1111yescharacteristic
1141C2×C22⋊C4C22×D1111yescharacteristic
1142C2×C22⋊C4C22×D1111yescharacteristic
1143C2×C42—111no—
1144C2×C42—111no—
1145C2×C42—111no—
1146C2×C42—118no—
1147C2×C42—111no—
1148C2×C42—111no—
1149C2×C42—111no—
1150C2×C42—111no—
1151C2×C42—111no—
1152C2×C42—111no—
1153C2×C42—111no—
1154C2×C42—111no—
1155C2×C42—111no—
1156C2×C42—111no—
1157C2×C42—111no—
1158C2×C42—111no—
1159C2×C42—111no—
1160C2×C42—224no—
1161C2×C42—224no—
1162C2×C42—442no—
1163C2×C42—442no—
1164C2×C42C22×D1111yescharacteristic
1165C2×C42C22×D1111yescharacteristic
1166C2×C42C22×D1111yescharacteristic
1167C2×C42C22×D1111yescharacteristic
1168#95—111no—
1169#95—111no—
1170#95—111no—
1171#95—111no—
1172#95—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#95C22×D1111yescharacteristic
1193#95C22×D1111yescharacteristic
1194#95C22×D1111yescharacteristic
1195#95C22×D1111yescharacteristic
1196#95C22×D1111yescharacteristic
1197#95C22×D1111yescharacteristic
1198#95C22×D1111yescharacteristic
1199#95C22×D1111yescharacteristic
1200C2×C11—42no—
1201C2×C11—81no—
1202C2×C11C2×#52511yescharacteristic
1203C2×C11C2×#53211yescharacteristic
1204C2×C11C2×#53711yescharacteristic
1205C2×C11#348111yescharacteristic
1206C2×C11#348111yescharacteristic
1207C2×C11#348211yescharacteristic
1208C2×C11#348211yescharacteristic
1209D11—24no—
1210D11—42no—
1211D11—81no—
1212C24—111no—
1213C24—111no—
1214C24—111no—
1215C24C23×D1111yescharacteristic
1216C24C23×D1111yescharacteristic
1217#41—2232no—
1218C2×Q8—222no—
1219C2×Q8—222no—
1220C2×Q8—222no—
1221C2×Q8—222no—
1222C2×Q8—222no—
1223C2×Q8—222no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—41no—
1227C2×D4—114no—
1228C2×D4—114no—
1229C2×D4—222no—
1230C2×D4—222no—
1231C2×D4—222no—
1232C2×D4—222no—
1233C2×D4—222no—
1234C2×D4—222no—
1235C2×D4—222no—
1236C2×D4—222no—
1237C2×D4—222no—
1238C2×D4—222no—
1239C2×D4—222no—
1240C2×D4—222no—
1241C2×D4—222no—
1242C2×D4—222no—
1243C2×D4—222no—
1244C2×D4—222no—
1245C2×D4—222no—
1246C2×D4—222no—
1247C2×D4—222no—
1248C2×D4—222no—
1249C2×D4—222no—
1250C2×D4—222no—
1251C2×D4—441no—
1252C2×D4—441no—
1253C2×D4—441no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—111no—
1258C22×C4—111no—
1259C22×C4—111no—
1260C22×C4—111no—
1261C22×C4—111no—
1262C22×C4—111no—
1263C22×C4—114no—
1264C22×C4—114no—
1265C22×C4—114no—
1266C22×C4—111no—
1267C22×C4—111no—
1268C22×C4—111no—
1269C22×C4—111no—
1270C22×C4—111no—
1271C22×C4—111no—
1272C22×C4—111no—
1273C22×C4—222no—
1274C22×C4—222no—
1275C22×C4—222no—
1276C22×C4—222no—
1277C22×C4—222no—
1278C22×C4—222no—
1279C22×C4—222no—
1280C22×C4—222no—
1281C22×C4—222no—
1282C22×C4—222no—
1283C22×C4—222no—
1284C22×C4—222no—
1285C22×C4—222no—
1286C22×C4—222no—
1287C22×C4—222no—
1288C22×C4—222no—
1289C22×C4—222no—
1290C22×C4—222no—
1291C22×C4—222no—
1292C22×C4—222no—
1293C22×C4—222no—
1294C22×C4—222no—
1295C22×C4—222no—
1296C22×C4—222no—
1297C22×C4—222no—
1298C22×C4—222no—
1299C22×C4—222no—
1300C22×C4—222no—
1301C22×C4—222no—
1302C22×C4—222no—
1303C22×C4—222no—
1304C22×C4—222no—
1305C22×C4—222no—
1306C22×C4—222no—
1307C22×C4—222no—
1308C22×C4—441no—
1309C22×C4—441no—
1310C22×C4—441no—
1311C22×C4—441no—
1312C22×C4C23×D1111yescharacteristic
1313C22×C4C23×D1111yescharacteristic
1314C22×C4C23×D1111yescharacteristic
1315C22×C4C23×D1111yescharacteristic
1316C22×C4C23×D1111yescharacteristic
1317C22×C4C23×D1111yescharacteristic
1318C22×C4C23×D1111yescharacteristic
1319C22×C4C23×D1111yescharacteristic
1320C22×C4C23×D1111yescharacteristic
1321C22×C4C23×D1111yescharacteristic
1322C22×C4C23×D1111yescharacteristic
1323C22×C4C23×D1111yescharacteristic
1324C22×C4C23×D1111yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—41no—
1335C4⋊C4—114no—
1336C4⋊C4—114no—
1337C4⋊C4—222no—
1338C4⋊C4—222no—
1339C4⋊C4—222no—
1340C4⋊C4—222no—
1341C4⋊C4—222no—
1342C4⋊C4—222no—
1343C4⋊C4—222no—
1344C4⋊C4—222no—
1345C4⋊C4—222no—
1346C4⋊C4—222no—
1347C4⋊C4—222no—
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—441no—
1359C4⋊C4—441no—
1360C4⋊C4—441no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—222no—
1373C22⋊C4—222no—
1374C22⋊C4—222no—
1375C22⋊C4—222no—
1376C22⋊C4—222no—
1377C22⋊C4—222no—
1378C22⋊C4—222no—
1379C22⋊C4—222no—
1380C22⋊C4—222no—
1381C22⋊C4—222no—
1382C22⋊C4—222no—
1383C22⋊C4—222no—
1384C22⋊C4—222no—
1385C22⋊C4—222no—
1386C22⋊C4—222no—
1387C22⋊C4—222no—
1388C22⋊C4—222no—
1389C22⋊C4—222no—
1390C22⋊C4—222no—
1391C22⋊C4—222no—
1392C22⋊C4—222no—
1393C22⋊C4—222no—
1394C22⋊C4—222no—
1395C22⋊C4—441no—
1396C22⋊C4—441no—
1397C22⋊C4—441no—
1398C22⋊C4—441no—
1399C22⋊C4—441no—
1400C22⋊C4—441no—
1401C42—22no—
1402C42—41no—
1403C42—41no—
1404C42—114no—
1405C42—114no—
1406C42—114no—
1407C42—222no—
1408C42—222no—
1409C42—222no—
1410C42—222no—
1411C42—222no—
1412C42—222no—
1413C42—222no—
1414C42—222no—
1415C42—222no—
1416C42—222no—
1417C42—222no—
1418C42—441no—
1419C42—441no—
1420C42D4×D1114yes—
1421C11#3496411yescharacteristic, complemented, Sylow
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—112no—
1436C23—112no—
1437C23—112no—
1438C23—112no—
1439C23—221no—
1440C23—221no—
1441C23—221no—
1442C23—221no—
1443C23—221no—
1444C23—221no—
1445C23—221no—
1446C23—221no—
1447C23—221no—
1448C23—221no—
1449C23—221no—
1450C23—221no—
1451C23—221no—
1452C23—221no—
1453C23—221no—
1454C23—221no—
1455C23—221no—
1456C23#41×D1112yes—
1457C23C24×D1111yescharacteristic
1458Q8—228no—
1459Q8—444no—
1460D4—44no—
1461D4—228no—
1462D4—228no—
1463D4—228no—
1464D4—444no—
1465D4—444no—
1466D4—444no—
1467D4—444no—
1468D4—444no—
1469D4—444no—
1470C2×C4—28no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—112no—
1505C2×C4—112no—
1506C2×C4—112no—
1507C2×C4—112no—
1508C2×C4—112no—
1509C2×C4—112no—
1510C2×C4—112no—
1511C2×C4—112no—
1512C2×C4—112no—
1513C2×C4—112no—
1514C2×C4—228no—
1515C2×C4—228no—
1516C2×C4—228no—
1517C2×C4—228no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—221no—
1526C2×C4—221no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—221no—
1530C2×C4—221no—
1531C2×C4—221no—
1532C2×C4—221no—
1533C2×C4—221no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—221no—
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—444no—
1548C2×C4—444no—
1549C2×C4—444no—
1550C2×C4—444no—
1551C2×C4—444no—
1552C2×C4—444no—
1553C2×C4—444no—
1554C2×C4—444no—
1555C2×C4—444no—
1556C2×C4—444no—
1557C2×C4C2×D4×D1112yes—
1558C2×C4C2×D4×D1112yes—
1559C2×C4C2×D4×D1112yes—
1560C2×C4#41×D1112yes—
1561C2×C4#41×D1112yes—
1562C2×C4#41×D1112yes—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—114no—
1578C22—222no—
1579C22—222no—
1580C22—222no—
1581C22—222no—
1582C22—222no—
1583C22—222no—
1584C22—222no—
1585C22—222no—
1586C22—222no—
1587C22—441no—
1588C22—441no—
1589C22—441no—
1590C22—441no—
1591C22—441no—
1592C22—441no—
1593C22—441no—
1594C22—441no—
1595C22—441no—
1596C22—441no—
1597C22—441no—
1598C22C22×D4×D1111yescharacteristic
1599C22C2×#41×D1111yescharacteristic
1600C22C2×#41×D1111yescharacteristic
1601C22C2×#41×D1111yescharacteristic
1602C22C2×#41×D1111yescharacteristic
1603C22D11×H(5,𝔽2)11yescharacteristic
1604C22D11×2−1+411yescharacteristic
1605C4—22no—
1606C4—22no—
1607C4—22no—
1608C4—22no—
1609C4—22no—
1610C4—22no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—114no—
1619C4—114no—
1620C4—222no—
1621C4—222no—
1622C4—222no—
1623C4—222no—
1624C4—441no—
1625C4—441no—
1626C4—441no—
1627C4—441no—
1628C4—441no—
1629C4—441no—
1630C4—441no—
1631C2—42no—
1632C2—81no—
1633C2—224no—
1634C2—442no—
1635C2—881no—
1636C2D11×#52511yescharacteristic
1637C2D11×#53211yescharacteristic
1638C2D11×#53711yescharacteristic
1639C2#1308221911yescharacteristic
1640C2#1308222311yescharacteristic
1641C2#1308223011yescharacteristic
1642C2#1308223511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2601C2
hypercenter#2601D11
hypocenterC11#34964
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2601

Complements

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

NH ≅ G/Ntype
1. C2×#10623237C2semidirect
2. C2×#10623053C2semidirect
3. #13074215C2semidirect
4. #13074213C2semidirect
5. #13074207C2semidirect
6. #13074102C2semidirect
7. #13074002C2semidirect
8. #13073780C2semidirect
9. #13073553C2semidirect
10. #13073059C2semidirect
11. #13073057C2semidirect
12. #13072225C2semidirect
13. #13072223C2semidirect
14. #13072062C2semidirect
15. #13072060C2semidirect
16. #13072051C2semidirect
17. #13072049C2semidirect
18. #13071893C2semidirect
19. #13071891C2semidirect
20. #13071861C2semidirect
21. #13071859C2semidirect
22. #13071150C2semidirect
23. #13071148C2semidirect
24. #13071132C2semidirect
25. #13071128C2semidirect
26. #13071128C2semidirect
27. #13071128C2semidirect
28. #13071126C2semidirect
29. #13071124C2semidirect
30. C4×C4⋊C4×D11C2semidirect
31. C11×#2601C2semidirect
358. C42×D11D4semidirect
583. Dic11⋊C4#41semidirect
584. Dic11⋊C4#41semidirect
606. #2601D11semidirect
1421. C11#34964semidirect

Maximal subgroups

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

subgroupindex
C2×#106232372
C2×#106230532
#130742152
#130742132
#130742072
#130741022
#130740022
#130737802
#130735532
#130730592
#130730572
#130722252
#130722232
#130720622
#130720602
#130720512
#130720492
#130718932
#130718912
#130718612
#130718592
#130711502
#130711482
#130711322
#130711282
#130711262
#130711242
C4×C4⋊C4×D112
C11×#26012
#3496411