Finite Group Databasebeta

← #14960551

Subgroups — #14960551

Order 2816.

2406 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623235C211yesmaximal, characteristic
2C2×D11×C22⋊Q8C211yesmaximal, characteristic, complemented
3#13076911C211yesmaximal, characteristic, complemented
4#13076909C211yesmaximal, characteristic, complemented
5#13075062C211yesmaximal, characteristic, complemented
6#13075061C211yesmaximal, characteristic, complemented
7#13075060C211yesmaximal, characteristic, complemented
8#13075044C211yesmaximal, characteristic, complemented
9#13075042C211yesmaximal, characteristic, complemented
10#13075039C211yesmaximal, characteristic, complemented
11#13075037C211yesmaximal, characteristic, complemented
12#13074903C211yesmaximal, characteristic, complemented
13#13074901C211yesmaximal, characteristic, complemented
14#13074900C211yesmaximal, characteristic, complemented
15#13074898C211yesmaximal, characteristic, complemented
16#13074866C211yesmaximal, characteristic, complemented
17#13074865C211yesmaximal, characteristic, complemented
18#13074864C211yesmaximal, characteristic, complemented
19#13074863C211yesmaximal, characteristic, complemented
20#13074390C211yesmaximal, characteristic, complemented
21#13074390C211yesmaximal, characteristic, complemented
22#13074092C211yesmaximal, characteristic, complemented
23#13073994C211yesmaximal, characteristic, complemented
24#13073967C211yesmaximal, characteristic, complemented
25#13073964C211yesmaximal, characteristic, complemented
26#13072931C211yesmaximal, characteristic, complemented
27#13072928C211yesmaximal, characteristic, complemented
28#13072273C211yesmaximal, characteristic, complemented
29#13072255C211yesmaximal, characteristic, complemented
30#13071210C211yesmaximal, characteristic, complemented
31C11×#2689C211yesmaximal, characteristic, complemented
32C22×Q8×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#126C2211yescharacteristic
35C2×C11×C22⋊Q8C2211yescharacteristic
36C2×#67000C2211yescharacteristic, complemented
37C2×#66999C2211yescharacteristic
38C2×#66982C2211yescharacteristic
39C2×#66977C2211yescharacteristic
40#10623235—28no—
41D11×C22⋊Q8—28no—
42C2×#66951C2211yescharacteristic
43C2×#66950C2211yescharacteristic
44C2×#66949C2211yescharacteristic
45C2×#66949C2211yescharacteristic
46C2×#66949C2211yescharacteristic
47C2×#66948C2211yescharacteristic
48C2×#66948C2211yescharacteristic
49C2×#66947C2211yescharacteristic
50C2×#66947C2211yescharacteristic
51C2×#66947C2211yescharacteristic
52C2×#66946C2211yescharacteristic
53C2×C4⋊C4×D11C2211yescharacteristic
54C2×C4⋊C4×D11C2211yescharacteristic
55C2×C4⋊C4×D11C2211yescharacteristic
56C2×#66941C2211yescharacteristic, complemented
57C2×#66941C2211yescharacteristic, complemented
58C2×#66939C2211yescharacteristic
59C2×#66938C2211yescharacteristic
60C2×#66937C2211yescharacteristic
61C2×#66936C2211yescharacteristic
62C2×#66935C2211yescharacteristic
63C2×#66935C2211yescharacteristic
64C2×C22⋊C4×D11C2211yescharacteristic
65C2×C22⋊C4×D11C2211yescharacteristic
66C2×#66931C2211yescharacteristic
67C2×#66931C2211yescharacteristic
68C2×#66928C2211yescharacteristic
69C2×#66928C2211yescharacteristic, complemented
70C2×C4×D44C2211yescharacteristic
71C11×#400C2211yescharacteristic, complemented
72C11×#400C2211yescharacteristic, complemented
73C11×#398C2211yescharacteristic, complemented
74C11×#397C2211yescharacteristic
75C11×#397C2211yescharacteristic
76C11×#395C2211yescharacteristic, complemented
77C11×#391C2211yescharacteristic, complemented
78C11×#389C2211yescharacteristic, complemented
79C11×#389C2211yescharacteristic, complemented
80C11×#388C2211yescharacteristic
81C11×#387C2211yescharacteristic, complemented
82C11×#385C2211yescharacteristic
83C11×#381C2211yescharacteristic
84#10622842C2211yescharacteristic, complemented
85#10622826C2211yescharacteristic
86#10622607C2211yescharacteristic, complemented
87#10622607C2211yescharacteristic, complemented
88#10622607C2211yescharacteristic, complemented
89#10622605C2211yescharacteristic, complemented
90#10622605C2211yescharacteristic, complemented
91#10622605C2211yescharacteristic, complemented
92#10622604C2211yescharacteristic
93#10622604C2211yescharacteristic
94#10622604C2211yescharacteristic, complemented
95#10622603C2211yescharacteristic
96#10622602C2211yescharacteristic
97#10622602C2211yescharacteristic
98#10622602C2211yescharacteristic
99#10622602C2211yescharacteristic
100#10622602C2211yescharacteristic, complemented
101#10622602C2211yescharacteristic, complemented
102#10622600C2211yescharacteristic
103#10622600C2211yescharacteristic, complemented
104#10622600C2211yescharacteristic, complemented
105#10622599C2211yescharacteristic, complemented
106#10622597C2211yescharacteristic, complemented
107#10622597C2211yescharacteristic, complemented
108#10622595C2211yescharacteristic, complemented
109#10622592C2211yescharacteristic, complemented
110#10622592C2211yescharacteristic, complemented
111#10622587C2211yescharacteristic, complemented
112#10622585C2211yescharacteristic, complemented
113#10622585C2211yescharacteristic, complemented
114#10622574C2211yescharacteristic
115#10622574C2211yescharacteristic
116#10622572C2211yescharacteristic
117#10622572C2211yescharacteristic
118#10622571C2211yescharacteristic
119#10622568C2211yescharacteristic
120#10622568C2211yescharacteristic
121#10622565C2211yescharacteristic
122#10622565C2211yescharacteristic
123#10622564C2211yescharacteristic
124#10622559C2211yescharacteristic
125#10622558C2211yescharacteristic
126#10622557C2211yescharacteristic
127#10622556C2211yescharacteristic
128#10622553C2211yescharacteristic
129C4×(C2×D11)⋊C4C2211yescharacteristic
130#10622546C2211yescharacteristic, complemented
131#10622541C2211yescharacteristic, complemented
132#10622541C2211yescharacteristic, complemented
133#10622290C2211yescharacteristic, complemented
134#10622289C2211yescharacteristic, complemented
135#10622288C2211yescharacteristic
136#10622288C2211yescharacteristic
137#10622287C2211yescharacteristic
138#10622287C2211yescharacteristic
139#10622286C2211yescharacteristic, complemented
140#10622286C2211yescharacteristic, complemented
141#10622286C2211yescharacteristic, complemented
142#10622286C2211yescharacteristic, complemented
143#10622285C2211yescharacteristic
144#10622285C2211yescharacteristic
145#10622285C2211yescharacteristic, complemented
146#10622283C2211yescharacteristic
147#10622283C2211yescharacteristic, complemented
148#10622283C2211yescharacteristic, complemented
149#10622282C2211yescharacteristic
150#10622282C2211yescharacteristic, complemented
151#10622282C2211yescharacteristic, complemented
152#10622281C2211yescharacteristic
153#10622281C2211yescharacteristic
154#10622281C2211yescharacteristic
155#10622281C2211yescharacteristic
156#10622281C2211yescharacteristic
157#10622281C2211yescharacteristic
158#10622281C2211yescharacteristic, complemented
159#10622281C2211yescharacteristic, complemented
160#10622280C2211yescharacteristic
161#10622280C2211yescharacteristic, complemented
162#10622280C2211yescharacteristic, complemented
163#10622279C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622277C2211yescharacteristic
175#10622277C2211yescharacteristic
176#10622274C2211yescharacteristic, complemented
177#10622273C2211yescharacteristic, complemented
178#10622273C2211yescharacteristic, complemented
179#10622270C2211yescharacteristic, complemented
180#10622270C2211yescharacteristic, complemented
181#10622269C2211yescharacteristic, complemented
182#10622269C2211yescharacteristic, complemented
183#10622268C2211yescharacteristic, complemented
184#10622267C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C2×Q8×D11—24no—
196C2×Q8×D11—42no—
197C2×Q8×D11—42no—
198C22×D44C2311yescharacteristic
199C22×D44C2311yescharacteristic
200C22×D44C2311yescharacteristic
201C22×D44C2311yescharacteristic
202C22×D44C2311yescharacteristic
203C22×C4×D11—24no—
204C22×C4×D11—42no—
205C22×C4×D11—42no—
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×Dic22C2311yescharacteristic
217C22×Dic22C2311yescharacteristic
218C22×Dic22C2311yescharacteristic
219C22×Dic22C2311yescharacteristic
220C11×#126—24no—
221C11×C22⋊Q8—24no—
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×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊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×C42×C11C2311yescharacteristic
240C2×C42×C11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245#67000—42no—
246#66999—24no—
247#66982—42no—
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(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×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
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
293#66977—24no—
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×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316#66951—24no—
317#66950—24no—
318#66949—24no—
319#66949—24no—
320#66949—24no—
321#66948—24no—
322#66948—24no—
323#66947—24no—
324#66947—42no—
325#66947—42no—
326#66946—24no—
327C4⋊C4×D11—24no—
328C4⋊C4×D11—24no—
329C4⋊C4×D11—24no—
330#66941—42no—
331#66941—42no—
332#66939—42no—
333#66938—24no—
334#66937—24no—
335#66936—24no—
336#66935—24no—
337#66935—24no—
338C22⋊C4×D11—24no—
339C22⋊C4×D11D418yes—
340#66931—24no—
341#66931—24no—
342#66928—24no—
343#66928—42no—
344C4×D44—24no—
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
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#36705—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C23×D11—22no—
388C23×D11—22no—
389C23×D11—41no—
390C23×D11—41no—
391C23×D11—41no—
392C23×D11—41no—
393C23×D11C2×D414yes—
394C23×D11C2411yescharacteristic
395C23×D11C2411yescharacteristic
396C23×D11C2411yescharacteristic
397C23×D11C2411yescharacteristic
398C2×Q8×C11—22no—
399C2×Q8×C11—22no—
400C2×Q8×C11—41no—
401C22×C4×C11—22no—
402C22×C4×C11—22no—
403C22×C4×C11—41no—
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
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C2×C22⋊D11—22no—
419C2×C22⋊D11—22no—
420C2×C22⋊D11—41no—
421C2×C22⋊D11—41no—
422C2×C22⋊D11—41no—
423C2×C22⋊D11—41no—
424C22×Dic11—22no—
425C22×Dic11—22no—
426C22×Dic11—41no—
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439Q8×D11—416no—
440C2×D44—22no—
441C2×D44—22no—
442C2×D44—22no—
443C2×D44—22no—
444C2×D44—22no—
445C2×D44—22no—
446C2×D44—22no—
447C2×D44—22no—
448C2×D44—22no—
449C2×D44—41no—
450C2×D44—41no—
451C2×D44—41no—
452C2×D44—41no—
453C2×D44—41no—
454C2×D44—41no—
455C2×C4×D11—22no—
456C2×C4×D11—22no—
457C2×C4×D11—22no—
458C2×C4×D11—22no—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—22no—
463C2×C4×D11—22no—
464C2×C4×D11—22no—
465C2×C4×D11—22no—
466C2×C4×D11—22no—
467C2×C4×D11—41no—
468C2×C4×D11—41no—
469C2×C4×D11—41no—
470C2×C4×D11—41no—
471C2×C4×D11—41no—
472C2×C4×D11—41no—
473C2×C4×D11—41no—
474C2×C4×D11—41no—
475C2×C4×D11—41no—
476C2×C4×D11—41no—
477C2×C4×D11—41no—
478C2×C4×D11—41no—
479C2×C4×D11—41no—
480C2×C4×D11—41no—
481C2×C4×D11—41no—
482C2×C4×D11—41no—
483C2×C4×D11—416no—
484C2×C4×D11C2×D414yes—
485C2×C4×D11C2×D414yes—
486C2×Dic22—22no—
487C2×Dic22—22no—
488C2×Dic22—22no—
489C2×Dic22—22no—
490C2×Dic22—22no—
491C2×Dic22—22no—
492C2×Dic22—22no—
493C2×Dic22—41no—
494C2×Dic22—41no—
495C2×Dic22—41no—
496C2×Dic22—41no—
497C2×Dic22—41no—
498C11×C4⋊C4—22no—
499C11×C4⋊C4—22no—
500C11×C4⋊C4—22no—
501C11×C4⋊C4—22no—
502C11×C4⋊C4—22no—
503C11×C4⋊C4—22no—
504C11×C4⋊C4—22no—
505C11×C4⋊C4—41no—
506C11×C4⋊C4—41no—
507C11×C4⋊C4—41no—
508C11×C4⋊C4—41no—
509C11×C22⋊C4—22no—
510C11×C22⋊C4—22no—
511C11×C22⋊C4—22no—
512C11×C22⋊C4—41no—
513C11×C22⋊C4—41no—
514C11×C22⋊C4C2×D414yes—
515C42×C11—22no—
516C42×C11—41no—
517C22⋊Dic11—22no—
518C22⋊Dic11—41no—
519C22⋊Dic11—41no—
520C22⋊Dic11C2×D414yes—
521(C2×D11)⋊C4—22no—
522(C2×D11)⋊C4—22no—
523(C2×D11)⋊C4—22no—
524(C2×D11)⋊C4—22no—
525(C2×D11)⋊C4—22no—
526(C2×D11)⋊C4—22no—
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—22no—
532(C2×D11)⋊C4—22no—
533(C2×D11)⋊C4—22no—
534(C2×D11)⋊C4—22no—
535(C2×D11)⋊C4—22no—
536(C2×D11)⋊C4—22no—
537(C2×D11)⋊C4—22no—
538(C2×D11)⋊C4—22no—
539(C2×D11)⋊C4—41no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4—41no—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4—41no—
546(C2×D11)⋊C4—41no—
547(C2×D11)⋊C4—41no—
548(C2×D11)⋊C4—41no—
549(C2×D11)⋊C4—41no—
550(C2×D11)⋊C4—41no—
551(C2×D11)⋊C4—41no—
552(C2×D11)⋊C4—41no—
553(C2×D11)⋊C4—41no—
554(C2×D11)⋊C4—41no—
555(C2×D11)⋊C4C2×D414yes—
556(C2×D11)⋊C4C2×D414yes—
557C4⋊Dic11—22no—
558C4⋊Dic11—22no—
559C4⋊Dic11—22no—
560C4⋊Dic11—22no—
561C4⋊Dic11—22no—
562C4⋊Dic11—41no—
563C4⋊Dic11—41no—
564C4⋊Dic11—41no—
565C4⋊Dic11—41no—
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—41no—
577Dic11⋊C4—41no—
578Dic11⋊C4—41no—
579Dic11⋊C4—41no—
580Dic11⋊C4—41no—
581Dic11⋊C4—41no—
582Dic11⋊C4—41no—
583Dic11⋊C4—41no—
584C4×Dic11—22no—
585C4×Dic11—41no—
586C4×Dic11—41no—
587C4×Dic11—41no—
588C2×#538—111no—
589C22×C22⋊Q8—111no—
590#2849—111no—
591#2849—111no—
592#2689—111no—
593#2689—111no—
594#2689—111no—
595#2689D1111yescharacteristic, complemented
596#2687—111no—
597#2687—111no—
598#2687—111no—
599#2687—111no—
600#2674—111no—
601#2674—111no—
602#2674—111no—
603#2674—111no—
604#2672—111no—
605#2672—111no—
606#2672—111no—
607#2672—111no—
608#2622—111no—
609#2622—111no—
610#2591—111no—
611#2583—111no—
612#2579—111no—
613#2579—111no—
614#2487—111no—
615#2487—111no—
616#2436—111no—
617#2434—111no—
618#2312—111no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11C22×D412yes—
626C23×C11C2511yescharacteristic
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—28no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—44no—
653C22×D11—44no—
654C22×D11—44no—
655C22×D11—44no—
656C22×D11—44no—
657C22×D11—44no—
658C22×D11C22×D412yes—
659C22×D11C22×D412yes—
660C22×D112−1+412yes—
661C22×D112−1+412yes—
662Q8×C11—44no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
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—44no—
703C2×C4×C11C22×D412yes—
704C2×C4×C11C22×D412yes—
705C2×C4×C11H(5,𝔽2)12yes—
706C22⋊D11—82no—
707C22⋊D11—82no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
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—44no—
742C2×Dic11C22×D412yes—
743C2×Dic11C22×D412yes—
744C2×Dic11H(5,𝔽2)12yes—
745D44—44no—
746D44—44no—
747D44—82no—
748D44—82no—
749D44—82no—
750C4×D11—28no—
751C4×D11—44no—
752C4×D11—44no—
753C4×D11—44no—
754C4×D11—44no—
755C4×D11—44no—
756C4×D11—44no—
757C4×D11—44no—
758C4×D11—82no—
759C4×D11—82no—
760Dic22—44no—
761Dic22—44no—
762Dic22—44no—
763Dic22—82no—
764C23×Q8—111no—
765C24×C4—111no—
766#538—228no—
767C2×C4⋊Q8—111no—
768C2×C4⋊Q8—111no—
769C2×#126—111no—
770C2×#126C2×D1111yescharacteristic
771C2×#124—111no—
772C2×#124—111no—
773C2×#124—111no—
774C2×#124—111no—
775C2×#123—111no—
776C2×#123—111no—
777C2×#123—111no—
778C2×#123—111no—
779C2×#123—111no—
780C2×#123—111no—
781C2×C22⋊Q8—111no—
782C2×C22⋊Q8—111no—
783C2×C22⋊Q8—111no—
784C2×C22⋊Q8—111no—
785C2×C22⋊Q8—111no—
786C2×C22⋊Q8—111no—
787C2×C22⋊Q8—111no—
788C2×C22⋊Q8—111no—
789C2×C22⋊Q8—228no—
790C2×C22⋊Q8C2×D1111yescharacteristic
791C2×#121—111no—
792C2×#121—111no—
793C2×#121—111no—
794C2×#120—111no—
795C2×#120—111no—
796C2×C4×D4—111no—
797C2×C4×D4—111no—
798C22×C4⋊C4—111no—
799C22×C4⋊C4—111no—
800C22×C4⋊C4—111no—
801C22×C22⋊C4—111no—
802C22×C22⋊C4—111no—
803#400—111no—
804#400—111no—
805#400—111no—
806#400—111no—
807#400C2×D1111yescharacteristic, complemented
808#400C2×D1111yescharacteristic, complemented
809#399—111no—
810#399—111no—
811#399—111no—
812#399—111no—
813#398—111no—
814#398—111no—
815#398—111no—
816#398—111no—
817#398—111no—
818#398C2×D1111yescharacteristic, complemented
819#397—111no—
820#397—111no—
821#397—111no—
822#397—111no—
823#397—111no—
824#397—111no—
825#397C2×D1111yescharacteristic
826#397C2×D1111yescharacteristic
827#396—111no—
828#396—111no—
829#396—111no—
830#396—111no—
831#395—111no—
832#395—111no—
833#395—111no—
834#395—111no—
835#395—111no—
836#395C2×D1111yescharacteristic, complemented
837#394—111no—
838#394—111no—
839#394—111no—
840#394—111no—
841#394—111no—
842#394—111no—
843#394—111no—
844#394—111no—
845#394—111no—
846#394—111no—
847#393—111no—
848#393—111no—
849#393—111no—
850#393—111no—
851#391—111no—
852#391—111no—
853#391—111no—
854#391C2×D1111yescharacteristic, complemented
855#389—111no—
856#389—111no—
857#389—111no—
858#389—111no—
859#389—111no—
860#389—111no—
861#389C2×D1111yescharacteristic, complemented
862#389C2×D1111yescharacteristic, complemented
863#388—111no—
864#388—111no—
865#388—111no—
866#388—111no—
867#388—111no—
868#388—111no—
869#388—111no—
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388C2×D1111yescharacteristic
875#387—111no—
876#387—111no—
877#387—111no—
878#387C2×D1111yescharacteristic, complemented
879#386—111no—
880#386—111no—
881#386—111no—
882#386—111no—
883#386—111no—
884#386—111no—
885#386—111no—
886#386—111no—
887#386—111no—
888#386—111no—
889#386—111no—
890#386—111no—
891#385—111no—
892#385—111no—
893#385—111no—
894#385—111no—
895#385—111no—
896#385—111no—
897#385—111no—
898#385—111no—
899#385—111no—
900#385—111no—
901#385—111no—
902#385—111no—
903#385—111no—
904#385—111no—
905#385—111no—
906#385C2×D1111yescharacteristic
907#381—111no—
908#381—111no—
909#381—111no—
910#381C2×D1111yescharacteristic
911#380—111no—
912#380—111no—
913#380—111no—
914#380—111no—
915#380—111no—
916#380—111no—
917#379—111no—
918#379—111no—
919C4×C22⋊C4—111no—
920C4×C22⋊C4—111no—
921C22×C11—22no—
922C22×C11—22no—
923C22×C11—22no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11C23×D411yescharacteristic
929C22×C11C2×H(5,𝔽2)11yescharacteristic
930C22×C11C2×H(5,𝔽2)11yescharacteristic
931C22×C11C2×2−1+411yescharacteristic
932C22×C11C2×2−1+411yescharacteristic
933C22×C11#58511yescharacteristic
934C22×C11#58511yescharacteristic
935C2×D11—22no—
936C2×D11—22no—
937C2×D11—22no—
938C2×D11—22no—
939C2×D11—22no—
940C2×D11—22no—
941C2×D11—22no—
942C2×D11—22no—
943C2×D11—22no—
944C2×D11—416no—
945C2×D11—41no—
946C2×D11—41no—
947C2×D11—41no—
948C2×D11—41no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C2×D11—41no—
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—41no—
958C2×D11—41no—
959C2×D11—41no—
960C2×D11—41no—
961C2×D11—41no—
962C2×D11—41no—
963C2×D11#53614yes—
964C4×C11—22no—
965C4×C11—22no—
966C4×C11—22no—
967C4×C11—41no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974C4×C11—41no—
975C4×C11—41no—
976C4×C11—41no—
977C4×C11—41no—
978Dic11—22no—
979Dic11—22no—
980Dic11—22no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988Dic11—41no—
989Dic11—41no—
990C25—111no—
991C22×Q8—111no—
992C22×Q8—111no—
993C22×Q8—111no—
994C22×Q8—111no—
995C22×Q8—224no—
996C22×Q8—442no—
997C22×Q8—442no—
998C22×Q8C22×D1111yescharacteristic
999C22×D4—111no—
1000C22×D4—111no—
1001C22×D4—111no—
1002C22×D4—111no—
1003C22×D4—111no—
1004C22×D4—111no—
1005C22×D4—111no—
1006C23×C4—111no—
1007C23×C4—111no—
1008C23×C4—111no—
1009C23×C4—111no—
1010C23×C4—111no—
1011C23×C4—111no—
1012C23×C4—111no—
1013C23×C4—111no—
1014C23×C4—111no—
1015C23×C4—111no—
1016C23×C4—111no—
1017C23×C4—224no—
1018C23×C4—442no—
1019C23×C4—442no—
1020C23×C4C22×D1111yescharacteristic
1021C4⋊Q8—442no—
1022C4⋊Q8—442no—
1023#126—24no—
1024#126—224no—
1025#124—224no—
1026#124—224no—
1027#124—442no—
1028#124—442no—
1029#123—224no—
1030#123—224no—
1031#123—442no—
1032#123—442no—
1033#123—442no—
1034#123—442no—
1035C22⋊Q8—24no—
1036C22⋊Q8—224no—
1037C22⋊Q8—224no—
1038C22⋊Q8—224no—
1039C22⋊Q8—224no—
1040C22⋊Q8—224no—
1041C22⋊Q8—224no—
1042C22⋊Q8—224no—
1043C22⋊Q8—224no—
1044#121—224no—
1045#121—224no—
1046#121—224no—
1047#120—224no—
1048#120—224no—
1049C4×D4—224no—
1050C4×D4—224no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4—111no—
1054C2×C4⋊C4—111no—
1055C2×C4⋊C4—111no—
1056C2×C4⋊C4—111no—
1057C2×C4⋊C4—111no—
1058C2×C4⋊C4—111no—
1059C2×C4⋊C4—111no—
1060C2×C4⋊C4—111no—
1061C2×C4⋊C4—111no—
1062C2×C4⋊C4—111no—
1063C2×C4⋊C4—111no—
1064C2×C4⋊C4—111no—
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—224no—
1079C2×C4⋊C4—224no—
1080C2×C4⋊C4—224no—
1081C2×C4⋊C4C22×D1111yescharacteristic
1082C2×C4⋊C4C22×D1111yescharacteristic
1083C2×C4⋊C4C22×D1111yescharacteristic
1084C2×C4⋊C4C22×D1111yescharacteristic
1085C2×C4⋊C4C22×D1111yescharacteristic
1086C2×C4⋊C4C22×D1111yescharacteristic
1087C2×C4⋊C4C22×D1111yescharacteristic
1088C2×C4⋊C4C22×D1111yescharacteristic
1089C2×C4⋊C4C22×D1111yescharacteristic
1090C2×C4⋊C4C22×D1111yescharacteristic
1091C2×C4⋊C4C22×D1111yescharacteristic
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—118no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
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⋊C4—111no—
1133C2×C22⋊C4—224no—
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×C42—111no—
1141C2×C42—111no—
1142C2×C42—111no—
1143C2×C42—111no—
1144C2×C42C22×D1111yescharacteristic
1145C2×C42C22×D1111yescharacteristic
1146#95—111no—
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95—111no—
1167#95—111no—
1168#95—111no—
1169#95—111no—
1170#95—111no—
1171#95—111no—
1172#95C22×D1111yescharacteristic
1173#95C22×D1111yescharacteristic
1174#95C22×D1111yescharacteristic
1175#95C22×D1111yescharacteristic
1176#95C22×D1111yescharacteristic
1177#95C22×D1111yescharacteristic
1178#95C22×D1111yescharacteristic
1179#95C22×D1111yescharacteristic
1180#95C22×D1111yescharacteristic
1181#95C22×D1111yescharacteristic
1182#95C22×D1111yescharacteristic
1183#95C22×D1111yescharacteristic
1184#95C22×D1111yescharacteristic
1185#95C22×D1111yescharacteristic
1186C2×C11—42no—
1187C2×C11C2×#53611yescharacteristic
1188C2×C11#348411yescharacteristic
1189C2×C11#348511yescharacteristic
1190C2×C11#354111yescharacteristic
1191C2×C11#354111yescharacteristic
1192C2×C11#354111yescharacteristic
1193C2×C11#354111yescharacteristic
1194D11—24no—
1195D11—42no—
1196D11—81no—
1197D11—81no—
1198C24—111no—
1199C24—111no—
1200C24—114no—
1201C24—111no—
1202C24—111no—
1203C24—222no—
1204C24—222no—
1205C24—441no—
1206C24—441no—
1207C24—441no—
1208C24—441no—
1209C24C23×D1111yescharacteristic
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—41no—
1213C2×Q8—222no—
1214C2×Q8—222no—
1215C2×Q8—222no—
1216C2×Q8—222no—
1217C2×Q8—222no—
1218C2×Q8—222no—
1219C2×Q8—222no—
1220C2×Q8—441no—
1221C2×Q8—441no—
1222C2×Q8—441no—
1223C2×Q8—441no—
1224C2×Q8—441no—
1225C2×Q8—4416no—
1226C2×D4—222no—
1227C2×D4—222no—
1228C2×D4—222no—
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—441no—
1238C2×D4—441no—
1239C2×D4—441no—
1240C2×D4—441no—
1241C2×D4—441no—
1242C2×D4—441no—
1243C2×D4—441no—
1244C2×D4—441no—
1245C2×D4—441no—
1246C2×D4—441no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—41no—
1250C22×C4—111no—
1251C22×C4—111no—
1252C22×C4—111no—
1253C22×C4—114no—
1254C22×C4—114no—
1255C22×C4—111no—
1256C22×C4—111no—
1257C22×C4—111no—
1258C22×C4—111no—
1259C22×C4—111no—
1260C22×C4—111no—
1261C22×C4—111no—
1262C22×C4—111no—
1263C22×C4—111no—
1264C22×C4—222no—
1265C22×C4—222no—
1266C22×C4—222no—
1267C22×C4—222no—
1268C22×C4—222no—
1269C22×C4—222no—
1270C22×C4—222no—
1271C22×C4—222no—
1272C22×C4—222no—
1273C22×C4—222no—
1274C22×C4—222no—
1275C22×C4—222no—
1276C22×C4—222no—
1277C22×C4—222no—
1278C22×C4—441no—
1279C22×C4—441no—
1280C22×C4—441no—
1281C22×C4—441no—
1282C22×C4—441no—
1283C22×C4—441no—
1284C22×C4—441no—
1285C22×C4—441no—
1286C22×C4—441no—
1287C22×C4—441no—
1288C22×C4—441no—
1289C22×C4—441no—
1290C22×C4—441no—
1291C22×C4—441no—
1292C22×C4—441no—
1293C22×C4—441no—
1294C22×C4—4416no—
1295C22×C4—441no—
1296C22×C4C23×D1111yescharacteristic
1297C22×C4C23×D1111yescharacteristic
1298C22×C4C23×D1111yescharacteristic
1299C22×C4C23×D1111yescharacteristic
1300C22×C4C23×D1111yescharacteristic
1301C22×C4C23×D1111yescharacteristic
1302C22×C4C23×D1111yescharacteristic
1303C22×C4C23×D1111yescharacteristic
1304C22×C4C23×D1111yescharacteristic
1305C22×C4C23×D1111yescharacteristic
1306C22×C4C23×D1111yescharacteristic
1307C22×C4C23×D1111yescharacteristic
1308C22×C4C23×D1111yescharacteristic
1309C22×C4C23×D1111yescharacteristic
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—222no—
1322C4⋊C4—222no—
1323C4⋊C4—222no—
1324C4⋊C4—222no—
1325C4⋊C4—222no—
1326C4⋊C4—222no—
1327C4⋊C4—222no—
1328C4⋊C4—222no—
1329C4⋊C4—222no—
1330C4⋊C4—222no—
1331C4⋊C4—222no—
1332C4⋊C4—222no—
1333C4⋊C4—222no—
1334C4⋊C4—222no—
1335C4⋊C4—222no—
1336C4⋊C4—441no—
1337C4⋊C4—441no—
1338C4⋊C4—441no—
1339C4⋊C4—441no—
1340C4⋊C4—441no—
1341C4⋊C4—441no—
1342C4⋊C4—441no—
1343C4⋊C4—441no—
1344C4⋊C4—441no—
1345C4⋊C4—441no—
1346C4⋊C4—441no—
1347C4⋊C4—441no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—114no—
1354C22⋊C4—114no—
1355C22⋊C4—114no—
1356C22⋊C4—222no—
1357C22⋊C4—222no—
1358C22⋊C4—222no—
1359C22⋊C4—222no—
1360C22⋊C4—222no—
1361C22⋊C4—222no—
1362C22⋊C4—222no—
1363C22⋊C4—222no—
1364C22⋊C4—222no—
1365C22⋊C4—222no—
1366C22⋊C4—222no—
1367C22⋊C4—222no—
1368C22⋊C4—222no—
1369C22⋊C4—222no—
1370C22⋊C4—222no—
1371C22⋊C4—222no—
1372C22⋊C4—222no—
1373C22⋊C4—222no—
1374C22⋊C4—222no—
1375C22⋊C4—441no—
1376C22⋊C4—441no—
1377C22⋊C4—441no—
1378C22⋊C4—441no—
1379C22⋊C4—441no—
1380C22⋊C4—441no—
1381C22⋊C4—441no—
1382C22⋊C4—441no—
1383C22⋊C4—441no—
1384C22⋊C4—441no—
1385C22⋊C4—441no—
1386C22⋊C4—441no—
1387C22⋊C4—441no—
1388C22⋊C4—441no—
1389C22⋊C4—441no—
1390C22⋊C4—441no—
1391C22⋊C4—441no—
1392C22⋊C4—441no—
1393C22⋊C4D4×D1114yes—
1394C42—22no—
1395C42—41no—
1396C42—222no—
1397C42—441no—
1398C42—441no—
1399C42—441no—
1400C11#3670511yescharacteristic, complemented, Sylow
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—112no—
1408C23—112no—
1409C23—112no—
1410C23—112no—
1411C23—228no—
1412C23—221no—
1413C23—221no—
1414C23—221no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—221no—
1419C23—221no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23—221no—
1426C23—221no—
1427C23—221no—
1428C23—221no—
1429C23—221no—
1430C23—221no—
1431C23—221no—
1432C23—221no—
1433C23—221no—
1434C23—221no—
1435C23—221no—
1436C23—444no—
1437C23—444no—
1438C23—444no—
1439C23—444no—
1440C23—444no—
1441C23—444no—
1442C23C2×D4×D1112yes—
1443C23C24×D1111yescharacteristic
1444Q8—44no—
1445Q8—444no—
1446Q8—444no—
1447Q8—444no—
1448Q8—882no—
1449D4—444no—
1450D4—444no—
1451D4—882no—
1452D4—882no—
1453D4—882no—
1454D4—882no—
1455D4—882no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
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—44no—
1496C2×C4—112no—
1497C2×C4—112no—
1498C2×C4—112no—
1499C2×C4—228no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
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—444no—
1534C2×C4—444no—
1535C2×C4—444no—
1536C2×C4—444no—
1537C2×C4—444no—
1538C2×C4—444no—
1539C2×C4—444no—
1540C2×C4—444no—
1541C2×C4—882no—
1542C2×C4—882no—
1543C2×C4C2×D4×D1112yes—
1544C2×C4C2×D4×D1112yes—
1545C2×C4#6704212yes—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—114no—
1554C22—222no—
1555C22—222no—
1556C22—222no—
1557C22—222no—
1558C22—222no—
1559C22—222no—
1560C22—222no—
1561C22—222no—
1562C22—222no—
1563C22—4416no—
1564C22—441no—
1565C22—441no—
1566C22—441no—
1567C22—441no—
1568C22—441no—
1569C22—441no—
1570C22—441no—
1571C22—441no—
1572C22—441no—
1573C22—441no—
1574C22—441no—
1575C22—441no—
1576C22—441no—
1577C22—441no—
1578C22—441no—
1579C22—441no—
1580C22—441no—
1581C22—441no—
1582C22C22×D4×D1111yescharacteristic
1583C22C2×#6704211yescharacteristic
1584C22#1062345311yescharacteristic
1585C22D11×H(5,𝔽2)11yescharacteristic
1586C22D11×2−1+411yescharacteristic
1587C22D11×2−1+411yescharacteristic
1588C22#1062345711yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—222no—
1604C4—222no—
1605C4—222no—
1606C4—441no—
1607C4—441no—
1608C4—441no—
1609C4—441no—
1610C4—441no—
1611C4—441no—
1612C4—441no—
1613C4—441no—
1614C4—441no—
1615C2—42no—
1616C2—224no—
1617C2—442no—
1618C2—881no—
1619C2—881no—
1620C2D11×#53611yescharacteristic
1621C2#1308224611yescharacteristic
1622C2#1308225511yescharacteristic
1623C2#1308290611yescharacteristic
1624C2#1308290811yescharacteristic
1625C2#1308291511yescharacteristic
1626C2#1308291611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2689C2
prime radicalC2×#10623235C2
hypercenter#2689D11
hypocenterC11#36705
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2689

Complements

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

NH ≅ G/Ntype
2. C2×D11×C22⋊Q8C2semidirect
3. #13076911C2semidirect
4. #13076909C2semidirect
5. #13075062C2semidirect
6. #13075061C2semidirect
7. #13075060C2semidirect
8. #13075044C2semidirect
9. #13075042C2semidirect
10. #13075039C2semidirect
11. #13075037C2semidirect
12. #13074903C2semidirect
13. #13074901C2semidirect
14. #13074900C2semidirect
15. #13074898C2semidirect
16. #13074866C2semidirect
17. #13074865C2semidirect
18. #13074864C2semidirect
19. #13074863C2semidirect
20. #13074390C2semidirect
21. #13074390C2semidirect
22. #13074092C2semidirect
23. #13073994C2semidirect
24. #13073967C2semidirect
25. #13073964C2semidirect
26. #13072931C2semidirect
27. #13072928C2semidirect
28. #13072273C2semidirect
29. #13072255C2semidirect
30. #13071210C2semidirect
31. C11×#2689C2semidirect
36. C2×#67000C22semidirect
56. C2×#66941C22semidirect
57. C2×#66941C22semidirect
69. C2×#66928C22semidirect
71. C11×#400C22semidirect
72. C11×#400C22semidirect
73. C11×#398C22semidirect
76. C11×#395C22semidirect
77. C11×#391C22semidirect
78. C11×#389C22semidirect
79. C11×#389C22semidirect
81. C11×#387C22semidirect
84. #10622842C22semidirect
86. #10622607C22semidirect
87. #10622607C22semidirect
88. #10622607C22semidirect
89. #10622605C22semidirect
90. #10622605C22semidirect
91. #10622605C22semidirect
94. #10622604C22semidirect
100. #10622602C22semidirect
101. #10622602C22semidirect
103. #10622600C22semidirect
104. #10622600C22semidirect
105. #10622599C22semidirect
106. #10622597C22semidirect
107. #10622597C22semidirect
108. #10622595C22semidirect
109. #10622592C22semidirect
110. #10622592C22semidirect
111. #10622587C22semidirect
112. #10622585C22semidirect
113. #10622585C22semidirect
130. #10622546C22semidirect
131. #10622541C22semidirect
132. #10622541C22semidirect
133. #10622290C22semidirect
134. #10622289C22semidirect
139. #10622286C22semidirect
140. #10622286C22semidirect
141. #10622286C22semidirect
142. #10622286C22semidirect
145. #10622285C22semidirect
147. #10622283C22semidirect
148. #10622283C22semidirect
150. #10622282C22semidirect
151. #10622282C22semidirect
158. #10622281C22semidirect
159. #10622281C22semidirect
161. #10622280C22semidirect
162. #10622280C22semidirect
176. #10622274C22semidirect
177. #10622273C22semidirect
178. #10622273C22semidirect
179. #10622270C22semidirect
180. #10622270C22semidirect
181. #10622269C22semidirect
182. #10622269C22semidirect
183. #10622268C22semidirect
184. #10622267C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
595. #2689D11semidirect
807. #400C2×D11semidirect
808. #400C2×D11semidirect
818. #398C2×D11semidirect
836. #395C2×D11semidirect
854. #391C2×D11semidirect
861. #389C2×D11semidirect
862. #389C2×D11semidirect
878. #387C2×D11semidirect
1400. C11#36705semidirect

Maximal subgroups

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

subgroupindex
C2×#106232352
C2×D11×C22⋊Q82
#130769112
#130769092
#130750622
#130750612
#130750602
#130750442
#130750422
#130750392
#130750372
#130749032
#130749012
#130749002
#130748982
#130748662
#130748652
#130748642
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