Finite Group Databasebeta

← #14926577

Subgroups — #14926577

Order 2816.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076949C211yesmaximal, characteristic, complemented
2#13076936C211yesmaximal, characteristic, complemented
3#13076934C211yesmaximal, characteristic, complemented
4#13076914C211yesmaximal, characteristic, complemented
5#13074679C211yesmaximal, characteristic, complemented
6#13074604C211yesmaximal, characteristic, complemented
7#13074598C211yesmaximal, characteristic, complemented
8#13073275C211yesmaximal, characteristic, complemented
9#13073267C211yesmaximal, characteristic, complemented
10#13073177C211yesmaximal, characteristic, complemented
11#13073169C211yesmaximal, characteristic, complemented
12#13073112C211yesmaximal, characteristic, complemented
13#13072937C211yesmaximal, characteristic, complemented
14#13072865C211yesmaximal, characteristic, complemented
15#13072735C211yesmaximal, characteristic, complemented
16#13072670C211yesmaximal, characteristic, complemented
17#13072554C211yesmaximal, characteristic, complemented
18#13072367C211yesmaximal, characteristic, complemented
19#13072283C211yesmaximal, characteristic, complemented
20#13072162C211yesmaximal, characteristic, complemented
21#13072005C211yesmaximal, characteristic, complemented
22#13071985C211yesmaximal, characteristic
23#13071938C211yesmaximal, characteristic, complemented
24#13071350C211yesmaximal, characteristic, complemented
25#13071269C211yesmaximal, characteristic, complemented
26#13071248C211yesmaximal, characteristic, complemented
27#13071210C211yesmaximal, characteristic, complemented
28#13071117C211yesmaximal, characteristic, complemented
29D11×#386C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2649C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×#66951C2211yescharacteristic, complemented
35C2×#66949C2211yescharacteristic
36C2×#66949C2211yescharacteristic, complemented
37C2×#66948C2211yescharacteristic
38C2×#66947C2211yescharacteristic
39C2×#66947C2211yescharacteristic, complemented
40C2×#66946C2211yescharacteristic
41C2×#66946C2211yescharacteristic, complemented
42C2×#66938C2211yescharacteristic, complemented
43C2×#66937C2211yescharacteristic
44C2×#66936C2211yescharacteristic
45C2×#66935C2211yescharacteristic
46C2×#66935C2211yescharacteristic
47C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
48C2×C22⋊C4×D11C2211yescharacteristic
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×C22⋊C4×D11C2211yescharacteristic
51C2×C22⋊C4×D11C2211yescharacteristic
52C2×C22⋊C4×D11C2211yescharacteristic
53C2×C42×D11C2211yescharacteristic, complemented
54C2×C42×D11C2211yescharacteristic, complemented
55C11×#400C2211yescharacteristic, complemented
56C11×#400C2211yescharacteristic, complemented
57C11×#399C2211yescharacteristic, complemented
58C11×#397C2211yescharacteristic, complemented
59C11×#397C2211yescharacteristic, complemented
60C11×#396C2211yescharacteristic, complemented
61C11×#394C2211yescharacteristic
62C11×#394C2211yescharacteristic
63C11×#389C2211yescharacteristic, complemented
64C11×#388C2211yescharacteristic, complemented
65C11×#388C2211yescharacteristic, complemented
66C11×#387C2211yescharacteristic, complemented
67C11×#386C2211yescharacteristic
68C11×#385C2211yescharacteristic, complemented
69C4×C11×C22⋊C4C2211yescharacteristic, complemented
70#10622836C2211yescharacteristic
71#10622835C2211yescharacteristic
72#10622833C2211yescharacteristic
73#10622826C2211yescharacteristic
74#10622826C2211yescharacteristic, complemented
75C4×C22⋊Dic11C2211yescharacteristic, complemented
76#10622606C2211yescharacteristic, complemented
77#10622603C2211yescharacteristic, complemented
78#10622603C2211yescharacteristic, complemented
79#10622603C2211yescharacteristic, complemented
80#10622603C2211yescharacteristic, complemented
81#10622603C2211yescharacteristic, complemented
82#10622602C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622602C2211yescharacteristic
85#10622602C2211yescharacteristic
86#10622602C2211yescharacteristic, complemented
87#10622602C2211yescharacteristic, complemented
88#10622601C2211yescharacteristic, complemented
89#10622600C2211yescharacteristic
90#10622600C2211yescharacteristic
91#10622600C2211yescharacteristic, complemented
92#10622600C2211yescharacteristic, complemented
93#10622596C2211yescharacteristic, complemented
94#10622594C2211yescharacteristic, complemented
95#10622594C2211yescharacteristic, complemented
96#10622591C2211yescharacteristic, complemented
97#10622587C2211yescharacteristic, complemented
98#10622586C2211yescharacteristic, complemented
99#10622585C2211yescharacteristic, complemented
100#10622574C2211yescharacteristic
101#10622574C2211yescharacteristic, complemented
102#10622573C2211yescharacteristic
103#10622572C2211yescharacteristic
104#10622572C2211yescharacteristic
105#10622572C2211yescharacteristic, complemented
106#10622572C2211yescharacteristic, complemented
107#10622571C2211yescharacteristic
108#10622570C2211yescharacteristic, complemented
109#10622569C2211yescharacteristic
110#10622569C2211yescharacteristic
111#10622569C2211yescharacteristic
112#10622569C2211yescharacteristic
113#10622569C2211yescharacteristic, complemented
114#10622568C2211yescharacteristic
115#10622568C2211yescharacteristic
116#10622568C2211yescharacteristic
117#10622568C2211yescharacteristic
118#10622566C2211yescharacteristic, complemented
119#10622565C2211yescharacteristic, complemented
120#10622564C2211yescharacteristic, complemented
121#10622564C2211yescharacteristic, complemented
122#10622561C2211yescharacteristic, complemented
123#10622561C2211yescharacteristic, complemented
124#10622560C2211yescharacteristic, complemented
125#10622558C2211yescharacteristic, complemented
126#10622558C2211yescharacteristic, complemented
127#10622558C2211yescharacteristic, complemented
128#10622557C2211yescharacteristic, complemented
129#10622557C2211yescharacteristic, complemented
130C22⋊C4×Dic11C2211yescharacteristic, complemented
131C22⋊C4×Dic11C2211yescharacteristic, complemented
132C22⋊C4×Dic11C2211yescharacteristic, complemented
133#10622553C2211yescharacteristic, complemented
134#10622553C2211yescharacteristic, complemented
135#10622552C2211yescharacteristic, complemented
136C4×(C2×D11)⋊C4C2211yescharacteristic
137C4×(C2×D11)⋊C4C2211yescharacteristic
138#10622546C2211yescharacteristic, complemented
139#10622288C2211yescharacteristic, complemented
140#10622288C2211yescharacteristic, complemented
141#10622287C2211yescharacteristic, complemented
142#10622286C2211yescharacteristic, complemented
143#10622285C2211yescharacteristic, complemented
144#10622283C2211yescharacteristic, complemented
145#10622282C2211yescharacteristic, complemented
146#10622282C2211yescharacteristic, complemented
147#10622282C2211yescharacteristic, complemented
148#10622282C2211yescharacteristic, complemented
149#10622281C2211yescharacteristic
150#10622281C2211yescharacteristic
151#10622281C2211yescharacteristic, complemented
152#10622281C2211yescharacteristic, complemented
153#10622280C2211yescharacteristic
154#10622279C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622279C2211yescharacteristic
157#10622279C2211yescharacteristic, complemented
158#10622278C2211yescharacteristic
159#10622278C2211yescharacteristic
160#10622278C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622278C2211yescharacteristic, complemented
167#10622278C2211yescharacteristic, complemented
168#10622278C2211yescharacteristic, complemented
169#10622277C2211yescharacteristic, complemented
170#10622277C2211yescharacteristic, complemented
171D11×#95C2211yescharacteristic
172D11×#95C2211yescharacteristic
173D11×#95C2211yescharacteristic, complemented
174D11×#95C2211yescharacteristic, complemented
175C11⋊#401C2211yescharacteristic, complemented
176#10622273C2211yescharacteristic, complemented
177#10622271C2211yescharacteristic, complemented
178#10622268C2211yescharacteristic, complemented
179#10622268C2211yescharacteristic, complemented
180#10622266C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622264C2211yescharacteristic, complemented
184#10622263C2211yescharacteristic, complemented
185#10622263C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C24×D11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C2×D4×D11—24no—
197C2×D4×D11—42no—
198C2×D4×D11—42no—
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×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×Dic22C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊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×C42×C11C2311yescharacteristic
239C2×C42×C11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
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×(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×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304#66951—42no—
305#66949—24no—
306#66949—42no—
307#66948—42no—
308#66947—42no—
309#66947—42no—
310#66946—24no—
311#66946—42no—
312#66938—42no—
313#66937—42no—
314#66936—42no—
315#66935—24no—
316#66935—24no—
317(C22⋊D11)⋊C4—42no—
318C22⋊C4×D11—24no—
319C22⋊C4×D11—24no—
320C22⋊C4×D11—24no—
321C22⋊C4×D11—42no—
322C22⋊C4×D11—42no—
323C42×D11—42no—
324C42×D11—42no—
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11×#95C2311yescharacteristic
336C11×#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369#34998—111nomaximal, Sylow
370C24×C11C2411yescharacteristic
371C24×C11C2411yescharacteristic
372C23×D11—22no—
373C23×D11—22no—
374C23×D11—22no—
375C23×D11—22no—
376C23×D11—22no—
377C23×D11—22no—
378C23×D11—22no—
379C23×D11—41no—
380C23×D11—41no—
381C23×D11—41no—
382C23×D11—41no—
383C23×D11—41no—
384C23×D11—41no—
385C23×D11#4114yes—
386C23×D11C2411yescharacteristic
387C23×D11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C23×D11C2411yescharacteristic
390C2×D4×C11—22no—
391C2×D4×C11—41no—
392C2×D4×C11—41no—
393C22×C4×C11—22no—
394C22×C4×C11—41no—
395C22×C4×C11—41no—
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C2×C22⋊D11—22no—
410C2×C22⋊D11—22no—
411C2×C22⋊D11—22no—
412C2×C22⋊D11—22no—
413C2×C22⋊D11—22no—
414C2×C22⋊D11—22no—
415C2×C22⋊D11—41no—
416C2×C22⋊D11—41no—
417C2×C22⋊D11—41no—
418C2×C22⋊D11—41no—
419C2×C22⋊D11—41no—
420C2×C22⋊D11—41no—
421C22×Dic11—22no—
422C22×Dic11—22no—
423C22×Dic11—41no—
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436D4×D11—416no—
437C2×D44—22no—
438C2×D44—22no—
439C2×D44—22no—
440C2×D44—22no—
441C2×D44—22no—
442C2×D44—22no—
443C2×D44—22no—
444C2×D44—22no—
445C2×D44—22no—
446C2×D44—22no—
447C2×D44—41no—
448C2×D44—41no—
449C2×C4×D11—22no—
450C2×C4×D11—22no—
451C2×C4×D11—22no—
452C2×C4×D11—22no—
453C2×C4×D11—22no—
454C2×C4×D11—22no—
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—22no—
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—41no—
484C2×C4×D11—416no—
485C2×C4×D11#4114yes—
486C2×Dic22—22no—
487C2×Dic22—41no—
488C2×Dic22—41no—
489C11×C4⋊C4—22no—
490C11×C4⋊C4—22no—
491C11×C4⋊C4—41no—
492C11×C4⋊C4—41no—
493C11×C4⋊C4—41no—
494C11×C4⋊C4—41no—
495C11×C4⋊C4—41no—
496C11×C4⋊C4—41no—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—22no—
499C11×C22⋊C4—22no—
500C11×C22⋊C4—22no—
501C11×C22⋊C4—22no—
502C11×C22⋊C4—41no—
503C11×C22⋊C4—41no—
504C11×C22⋊C4—41no—
505C11×C22⋊C4—41no—
506C11×C22⋊C4—41no—
507C11×C22⋊C4—41no—
508C42×C11—41no—
509C42×C11—41no—
510C22⋊Dic11—22no—
511C22⋊Dic11—22no—
512C22⋊Dic11—22no—
513C22⋊Dic11—22no—
514C22⋊Dic11—41no—
515C22⋊Dic11—41no—
516C22⋊Dic11—41no—
517C22⋊Dic11—41no—
518C22⋊Dic11—41no—
519(C2×D11)⋊C4—22no—
520(C2×D11)⋊C4—22no—
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—41no—
537(C2×D11)⋊C4—41no—
538(C2×D11)⋊C4—41no—
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#4114yes—
551C4⋊Dic11—41no—
552C4⋊Dic11—41no—
553C4⋊Dic11—41no—
554C4⋊Dic11—41no—
555Dic11⋊C4—22no—
556Dic11⋊C4—22no—
557Dic11⋊C4—22no—
558Dic11⋊C4—41no—
559Dic11⋊C4—41no—
560Dic11⋊C4—41no—
561Dic11⋊C4—41no—
562Dic11⋊C4—41no—
563Dic11⋊C4—41no—
564Dic11⋊C4—41no—
565C4×Dic11—22no—
566C4×Dic11—22no—
567C4×Dic11—22no—
568C4×Dic11—41no—
569C4×Dic11—41no—
570C4×Dic11—41no—
571C4×Dic11—41no—
572C4×Dic11—41no—
573C4×Dic11—41no—
574#2854—111no—
575#2853—111no—
576#2852—111no—
577#2850—111no—
578#2653—111no—
579#2649D1111yescharacteristic, complemented
580#2648—111no—
581#2648—111no—
582#2518—111no—
583#2518—111no—
584#2510—111no—
585#2510—111no—
586#2505—111no—
587#2488—111no—
588#2480—111no—
589#2472—111no—
590#2467—111no—
591#2459—111no—
592#2444—111no—
593#2437—111no—
594#2425—111no—
595#2412—111no—
596#2410—111no—
597#2405—111no—
598#2329—111no—
599#2321—111no—
600#2318—111no—
601#2312—111no—
602C4×#120—111no—
603C2×#386—111no—
604C2×C4×C22⋊C4—111no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11C2×#4112yes—
619C23×C11C2511yescharacteristic
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11—21no—
624C22×D11—21no—
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—28no—
629C22×D11—28no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—44no—
645C22×D11—44no—
646C22×D11—44no—
647C22×D11—44no—
648C22×D11—44no—
649C22×D11—44no—
650C22×D11—44no—
651C22×D11—44no—
652C22×D11—82no—
653C22×D11—82no—
654C22×D11—82no—
655C22×D11—82no—
656C22×D11C2×#4112yes—
657C22×D11C2×#4112yes—
658C22×D11C2×#4112yes—
659C22×D11C2×#4112yes—
660C22×D11H(5,𝔽2)12yes—
661C22×D11H(5,𝔽2)12yes—
662D4×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—44no—
701C2×C4×C11C2×#4112yes—
702C2×C4×C11C2×#4112yes—
703C22⋊D11—44no—
704C22⋊D11—44no—
705C22⋊D11—44no—
706C22⋊D11—82no—
707C2×Dic11—21no—
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—44no—
741C2×Dic11C2×#4112yes—
742C2×Dic11C2×#4112yes—
743C2×Dic11H(5,𝔽2)12yes—
744D44—44no—
745D44—44no—
746D44—44no—
747D44—82no—
748C4×D11—28no—
749C4×D11—44no—
750C4×D11—44no—
751C4×D11—44no—
752C4×D11—44no—
753C4×D11—44no—
754C4×D11—44no—
755C4×D11—44no—
756C4×D11—44no—
757C4×D11—82no—
758C4×D11—82no—
759C4×D11—82no—
760Dic22—82no—
761C23×D4—111no—
762C24×C4—111no—
763C2×#126—111no—
764C2×#124—111no—
765C2×#123—111no—
766C2×#123—111no—
767C2×#123—111no—
768C2×C22⋊Q8—111no—
769C2×C22⋊Q8—111no—
770C2×#121—111no—
771C2×#121—111no—
772C2×#120—111no—
773C2×#120—111no—
774C2×C4×D4—111no—
775C2×C4×D4—111no—
776C2×C4×D4—111no—
777C22×C22⋊C4—111no—
778C22×C22⋊C4—111no—
779C22×C22⋊C4—111no—
780C22×C22⋊C4—111no—
781C22×C22⋊C4—111no—
782C22×C42—111no—
783C22×C42—111no—
784#401—111no—
785#400—111no—
786#400—111no—
787#400C2×D1111yescharacteristic, complemented
788#400C2×D1111yescharacteristic, complemented
789#399C2×D1111yescharacteristic, complemented
790#398—111no—
791#397—111no—
792#397—111no—
793#397—111no—
794#397—111no—
795#397—111no—
796#397—111no—
797#397C2×D1111yescharacteristic, complemented
798#397C2×D1111yescharacteristic, complemented
799#396—111no—
800#396—111no—
801#396C2×D1111yescharacteristic, complemented
802#394—111no—
803#394—111no—
804#394—111no—
805#394—111no—
806#394—111no—
807#394—111no—
808#394—111no—
809#394—111no—
810#394C2×D1111yescharacteristic
811#394C2×D1111yescharacteristic
812#393—111no—
813#393—111no—
814#392—111no—
815#392—111no—
816#391—111no—
817#391—111no—
818#390—111no—
819#390—111no—
820#390—111no—
821#389—111no—
822#389—111no—
823#389C2×D1111yescharacteristic, complemented
824#388—111no—
825#388—111no—
826#388—111no—
827#388—111no—
828#388—111no—
829#388—111no—
830#388—111no—
831#388—111no—
832#388—111no—
833#388—111no—
834#388—111no—
835#388—111no—
836#388—111no—
837#388—111no—
838#388—111no—
839#388—111no—
840#388—111no—
841#388—111no—
842#388—111no—
843#388C2×D1111yescharacteristic, complemented
844#388C2×D1111yescharacteristic, complemented
845#387—111no—
846#387—111no—
847#387—111no—
848#387—111no—
849#387—111no—
850#387—111no—
851#387—111no—
852#387—111no—
853#387C2×D1111yescharacteristic, complemented
854#386—111no—
855#386—111no—
856#386—111no—
857#386—111no—
858#386—111no—
859#386—111no—
860#386—111no—
861#386—111no—
862#386—111no—
863#386—111no—
864#386—111no—
865#386—111no—
866#386—111no—
867#386—111no—
868#386—111no—
869#386—111no—
870#386—111no—
871#386—111no—
872#386—111no—
873#386—111no—
874#386C2×D1111yescharacteristic
875#385—111no—
876#385—111no—
877#385—111no—
878#385—111no—
879#385—111no—
880#385—111no—
881#385—111no—
882#385—111no—
883#385—111no—
884#385—111no—
885#385C2×D1111yescharacteristic, complemented
886#383—111no—
887#383—111no—
888#382—111no—
889#382—111no—
890#381—111no—
891#381—111no—
892#380—111no—
893#380—111no—
894#380—111no—
895#380—111no—
896#380—111no—
897#379—111no—
898#379—111no—
899#379—111no—
900#379—111no—
901C4×C22⋊C4—111no—
902C4×C22⋊C4—111no—
903C4×C22⋊C4—111no—
904C4×C22⋊C4—111no—
905C4×C22⋊C4—111no—
906C4×C22⋊C4—111no—
907C4×C22⋊C4—111no—
908C4×C22⋊C4—111no—
909C4×C22⋊C4—111no—
910C4×C22⋊C4—111no—
911C4×C22⋊C4C2×D1111yescharacteristic, complemented
912C2×#95—111no—
913C2×#95—111no—
914C2×#95—111no—
915C2×#95—111no—
916C22×C11—22no—
917C22×C11—22no—
918C22×C11—22no—
919C22×C11—41no—
920C22×C11—41no—
921C22×C11—41no—
922C22×C11—41no—
923C22×C11—41no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11C22×#4111yescharacteristic
931C22×C11C22×#4111yescharacteristic
932C22×C11C22×#4111yescharacteristic
933C22×C11C2×H(5,𝔽2)11yescharacteristic
934C22×C11C2×H(5,𝔽2)11yescharacteristic
935C22×C11C2×H(5,𝔽2)11yescharacteristic
936C22×C11#58511yescharacteristic
937C2×D11—22no—
938C2×D11—22no—
939C2×D11—22no—
940C2×D11—22no—
941C2×D11—22no—
942C2×D11—22no—
943C2×D11—22no—
944C2×D11—22no—
945C2×D11—22no—
946C2×D11—22no—
947C2×D11—22no—
948C2×D11—22no—
949C2×D11—416no—
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—41no—
964C2×D11—88no—
965C2×D11#52914yes—
966C2×D11#53814yes—
967C4×C11—22no—
968C4×C11—22no—
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—
978C4×C11—41no—
979C4×C11—41no—
980Dic11—22no—
981Dic11—22no—
982Dic11—22no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988Dic11—41no—
989Dic11—41no—
990Dic11—41no—
991Dic11—41no—
992C25—111no—
993C25—111no—
994C22×Q8—111no—
995C22×D4—111no—
996C22×D4—111no—
997C22×D4—111no—
998C22×D4—111no—
999C22×D4—111no—
1000C22×D4—111no—
1001C22×D4—111no—
1002C22×D4—111no—
1003C22×D4—224no—
1004C22×D4—442no—
1005C22×D4—442no—
1006C22×D4C22×D1111yescharacteristic
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—111no—
1018C23×C4—111no—
1019C23×C4—111no—
1020C23×C4—224no—
1021C23×C4—442no—
1022C23×C4—442no—
1023C23×C4C22×D1111yescharacteristic
1024#126—442no—
1025#124—442no—
1026#123—442no—
1027#123—442no—
1028#123—442no—
1029C22⋊Q8—224no—
1030C22⋊Q8—442no—
1031#121—442no—
1032#121—442no—
1033#120—224no—
1034#120—224no—
1035C4×D4—224no—
1036C4×D4—442no—
1037C4×D4—442no—
1038C2×C4⋊C4—111no—
1039C2×C4⋊C4—111no—
1040C2×C4⋊C4—111no—
1041C2×C4⋊C4—111no—
1042C2×C4⋊C4—111no—
1043C2×C4⋊C4—111no—
1044C2×C4⋊C4—111no—
1045C2×C4⋊C4—111no—
1046C2×C4⋊C4—111no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—111no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4C22×D1111yescharacteristic
1053C2×C4⋊C4C22×D1111yescharacteristic
1054C2×C4⋊C4C22×D1111yescharacteristic
1055C2×C4⋊C4C22×D1111yescharacteristic
1056C2×C4⋊C4C22×D1111yescharacteristic
1057C2×C4⋊C4C22×D1111yescharacteristic
1058C2×C4⋊C4C22×D1111yescharacteristic
1059C2×C4⋊C4C22×D1111yescharacteristic
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—224no—
1102C2×C22⋊C4—224no—
1103C2×C22⋊C4—224no—
1104C2×C22⋊C4—442no—
1105C2×C22⋊C4—442no—
1106C2×C22⋊C4C22×D1111yescharacteristic
1107C2×C22⋊C4C22×D1111yescharacteristic
1108C2×C22⋊C4C22×D1111yescharacteristic
1109C2×C22⋊C4C22×D1111yescharacteristic
1110C2×C22⋊C4C22×D1111yescharacteristic
1111C2×C22⋊C4C22×D1111yescharacteristic
1112C2×C22⋊C4C22×D1111yescharacteristic
1113C2×C22⋊C4C22×D1111yescharacteristic
1114C2×C22⋊C4C22×D1111yescharacteristic
1115C2×C22⋊C4C22×D1111yescharacteristic
1116C2×C22⋊C4C22×D1111yescharacteristic
1117C2×C42—111no—
1118C2×C42—111no—
1119C2×C42—111no—
1120C2×C42—111no—
1121C2×C42—111no—
1122C2×C42—111no—
1123C2×C42—111no—
1124C2×C42—111no—
1125C2×C42—111no—
1126C2×C42—442no—
1127C2×C42—442no—
1128C2×C42C22×D1111yescharacteristic
1129C2×C42C22×D1111yescharacteristic
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95—111no—
1140#95—111no—
1141#95—111no—
1142#95—111no—
1143#95—111no—
1144#95—111no—
1145#95—111no—
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#95C22×D1111yescharacteristic
1163#95C22×D1111yescharacteristic
1164#95C22×D1111yescharacteristic
1165#95C22×D1111yescharacteristic
1166#95C22×D1111yescharacteristic
1167#95C22×D1111yescharacteristic
1168#95C22×D1111yescharacteristic
1169#95C22×D1111yescharacteristic
1170#95C22×D1111yescharacteristic
1171#95C22×D1111yescharacteristic
1172#95C22×D1111yescharacteristic
1173#95C22×D1111yescharacteristic
1174C2×C11—42no—
1175C2×C11—81no—
1176C2×C11C2×#52911yescharacteristic
1177C2×C11C2×#53811yescharacteristic
1178C2×C11#345911yescharacteristic
1179C2×C11#349011yescharacteristic
1180C2×C11#349411yescharacteristic
1181C2×C11#351311yescharacteristic
1182C2×C11#351911yescharacteristic
1183D11—24no—
1184D11—24no—
1185D11—81no—
1186D11—81no—
1187C24—111no—
1188C24—111no—
1189C24—114no—
1190C24—111no—
1191C24—111no—
1192C24—222no—
1193C24—222no—
1194C24—222no—
1195C24—222no—
1196C24—222no—
1197C24—222no—
1198C24—222no—
1199C24—441no—
1200C24—441no—
1201C24—441no—
1202C24—441no—
1203C24—441no—
1204C24—441no—
1205C24C23×D1111yescharacteristic
1206C24C23×D1111yescharacteristic
1207C2×Q8—222no—
1208C2×Q8—441no—
1209C2×Q8—441no—
1210C2×D4—22no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—222no—
1214C2×D4—222no—
1215C2×D4—222no—
1216C2×D4—222no—
1217C2×D4—222no—
1218C2×D4—222no—
1219C2×D4—222no—
1220C2×D4—222no—
1221C2×D4—222no—
1222C2×D4—222no—
1223C2×D4—222no—
1224C2×D4—222no—
1225C2×D4—222no—
1226C2×D4—222no—
1227C2×D4—222no—
1228C2×D4—222no—
1229C2×D4—441no—
1230C2×D4—441no—
1231C2×D4—441no—
1232C2×D4—441no—
1233C2×D4—441no—
1234C2×D4—441no—
1235C2×D4—441no—
1236C2×D4—441no—
1237C2×D4—4416no—
1238C22×C4—22no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—111no—
1242C22×C4—111no—
1243C22×C4—111no—
1244C22×C4—114no—
1245C22×C4—111no—
1246C22×C4—111no—
1247C22×C4—111no—
1248C22×C4—111no—
1249C22×C4—111no—
1250C22×C4—111no—
1251C22×C4—111no—
1252C22×C4—111no—
1253C22×C4—111no—
1254C22×C4—222no—
1255C22×C4—222no—
1256C22×C4—222no—
1257C22×C4—222no—
1258C22×C4—222no—
1259C22×C4—222no—
1260C22×C4—222no—
1261C22×C4—222no—
1262C22×C4—222no—
1263C22×C4—222no—
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—441no—
1276C22×C4—441no—
1277C22×C4—441no—
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—4416no—
1292C22×C4—441no—
1293C22×C4C23×D1111yescharacteristic
1294C22×C4C23×D1111yescharacteristic
1295C22×C4C23×D1111yescharacteristic
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
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—222no—
1315C4⋊C4—222no—
1316C4⋊C4—222no—
1317C4⋊C4—441no—
1318C4⋊C4—441no—
1319C4⋊C4—441no—
1320C4⋊C4—441no—
1321C4⋊C4—441no—
1322C4⋊C4—441no—
1323C4⋊C4—441no—
1324C4⋊C4—441no—
1325C4⋊C4—441no—
1326C4⋊C4—441no—
1327C4⋊C4—441no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—114no—
1340C22⋊C4—222no—
1341C22⋊C4—222no—
1342C22⋊C4—222no—
1343C22⋊C4—222no—
1344C22⋊C4—222no—
1345C22⋊C4—222no—
1346C22⋊C4—222no—
1347C22⋊C4—222no—
1348C22⋊C4—222no—
1349C22⋊C4—222no—
1350C22⋊C4—222no—
1351C22⋊C4—222no—
1352C22⋊C4—222no—
1353C22⋊C4—222no—
1354C22⋊C4—222no—
1355C22⋊C4—222no—
1356C22⋊C4—222no—
1357C22⋊C4—222no—
1358C22⋊C4—222no—
1359C22⋊C4—222no—
1360C22⋊C4—222no—
1361C22⋊C4—441no—
1362C22⋊C4—441no—
1363C22⋊C4—441no—
1364C22⋊C4—441no—
1365C22⋊C4—441no—
1366C22⋊C4—441no—
1367C22⋊C4—441no—
1368C22⋊C4—441no—
1369C22⋊C4—441no—
1370C22⋊C4—441no—
1371C22⋊C4—441no—
1372C22⋊C4—441no—
1373C22⋊C4—441no—
1374C22⋊C4—441no—
1375C22⋊C4—441no—
1376C22⋊C4—441no—
1377C22⋊C4—441no—
1378C22⋊C4—441no—
1379C22⋊C4—441no—
1380C42—41no—
1381C42—41no—
1382C42—222no—
1383C42—222no—
1384C42—222no—
1385C42—441no—
1386C42—441no—
1387C42—441no—
1388C42—441no—
1389C42—441no—
1390C42—441no—
1391C11#3499811yescharacteristic, complemented, Sylow
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—112no—
1406C23—112no—
1407C23—112no—
1408C23—112no—
1409C23—112no—
1410C23—112no—
1411C23—228no—
1412C23—228no—
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—444no—
1436C23—444no—
1437C23—444no—
1438C23—444no—
1439C23—444no—
1440C23—444no—
1441C23—444no—
1442C23—444no—
1443C23—882no—
1444C23—882no—
1445C23—882no—
1446C23—882no—
1447C23#41×D1112yes—
1448C23C24×D1111yescharacteristic
1449Q8—882no—
1450D4—44no—
1451D4—444no—
1452D4—444no—
1453D4—444no—
1454D4—444no—
1455D4—444no—
1456D4—444no—
1457D4—882no—
1458D4—882no—
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—21no—
1496C2×C4—44no—
1497C2×C4—112no—
1498C2×C4—112no—
1499C2×C4—112no—
1500C2×C4—228no—
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—221no—
1534C2×C4—444no—
1535C2×C4—444no—
1536C2×C4—444no—
1537C2×C4—444no—
1538C2×C4—444no—
1539C2×C4—444no—
1540C2×C4—444no—
1541C2×C4—444no—
1542C2×C4—444no—
1543C2×C4—882no—
1544C2×C4—882no—
1545C2×C4—882no—
1546C2×C4#41×D1112yes—
1547C2×C4#41×D1112yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—114no—
1563C22—114no—
1564C22—222no—
1565C22—222no—
1566C22—222no—
1567C22—222no—
1568C22—222no—
1569C22—222no—
1570C22—222no—
1571C22—222no—
1572C22—222no—
1573C22—222no—
1574C22—222no—
1575C22—222no—
1576C22—4416no—
1577C22—441no—
1578C22—441no—
1579C22—441no—
1580C22—441no—
1581C22—441no—
1582C22—441no—
1583C22—441no—
1584C22—441no—
1585C22—441no—
1586C22—441no—
1587C22—441no—
1588C22—441no—
1589C22—441no—
1590C22—441no—
1591C22—888no—
1592C22C2×#41×D1111yescharacteristic
1593C22C2×#41×D1111yescharacteristic
1594C22C2×#41×D1111yescharacteristic
1595C22D11×H(5,𝔽2)11yescharacteristic
1596C22D11×H(5,𝔽2)11yescharacteristic
1597C22D11×H(5,𝔽2)11yescharacteristic
1598C22#1062345711yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—222no—
1613C4—222no—
1614C4—222no—
1615C4—441no—
1616C4—441no—
1617C4—441no—
1618C4—441no—
1619C4—441no—
1620C4—441no—
1621C4—441no—
1622C4—441no—
1623C4—441no—
1624C2—42no—
1625C2—81no—
1626C2—224no—
1627C2—224no—
1628C2—881no—
1629C2—881no—
1630C2D11×#52911yescharacteristic
1631C2D11×#53811yescharacteristic
1632C2#1308202411yescharacteristic
1633C2#1308230211yescharacteristic
1634C2#1308234911yescharacteristic
1635C2#1308254611yescharacteristic
1636C2#1308264611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2649C2
prime radical#13071985C2
hypercenter#2649D11
hypocenterC11#34998
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2649

Complements

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

NH ≅ G/Ntype
1. #13076949C2semidirect
2. #13076936C2semidirect
3. #13076934C2semidirect
4. #13076914C2semidirect
5. #13074679C2semidirect
6. #13074604C2semidirect
7. #13074598C2semidirect
8. #13073275C2semidirect
9. #13073267C2semidirect
10. #13073177C2semidirect
11. #13073169C2semidirect
12. #13073112C2semidirect
13. #13072937C2semidirect
14. #13072865C2semidirect
15. #13072735C2semidirect
16. #13072670C2semidirect
17. #13072554C2semidirect
18. #13072367C2semidirect
19. #13072283C2semidirect
20. #13072162C2semidirect
21. #13072005C2semidirect
23. #13071938C2semidirect
24. #13071350C2semidirect
25. #13071269C2semidirect
26. #13071248C2semidirect
27. #13071210C2semidirect
28. #13071117C2semidirect
29. D11×#386C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2649C2semidirect
34. C2×#66951C22semidirect
36. C2×#66949C22semidirect
39. C2×#66947C22semidirect
41. C2×#66946C22semidirect
42. C2×#66938C22semidirect
47. C2×(C22⋊D11)⋊C4C22semidirect
53. C2×C42×D11C22semidirect
54. C2×C42×D11C22semidirect
55. C11×#400C22semidirect
56. C11×#400C22semidirect
57. C11×#399C22semidirect
58. C11×#397C22semidirect
59. C11×#397C22semidirect
60. C11×#396C22semidirect
63. C11×#389C22semidirect
64. C11×#388C22semidirect
65. C11×#388C22semidirect
66. C11×#387C22semidirect
68. C11×#385C22semidirect
69. C4×C11×C22⋊C4C22semidirect
74. #10622826C22semidirect
75. C4×C22⋊Dic11C22semidirect
76. #10622606C22semidirect
77. #10622603C22semidirect
78. #10622603C22semidirect
79. #10622603C22semidirect
80. #10622603C22semidirect
81. #10622603C22semidirect
86. #10622602C22semidirect
87. #10622602C22semidirect
88. #10622601C22semidirect
91. #10622600C22semidirect
92. #10622600C22semidirect
93. #10622596C22semidirect
94. #10622594C22semidirect
95. #10622594C22semidirect
96. #10622591C22semidirect
97. #10622587C22semidirect
98. #10622586C22semidirect
99. #10622585C22semidirect
101. #10622574C22semidirect
105. #10622572C22semidirect
106. #10622572C22semidirect
108. #10622570C22semidirect
113. #10622569C22semidirect
118. #10622566C22semidirect
119. #10622565C22semidirect
120. #10622564C22semidirect
121. #10622564C22semidirect
122. #10622561C22semidirect
123. #10622561C22semidirect
124. #10622560C22semidirect
125. #10622558C22semidirect
126. #10622558C22semidirect
127. #10622558C22semidirect
128. #10622557C22semidirect
129. #10622557C22semidirect
130. C22⋊C4×Dic11C22semidirect
131. C22⋊C4×Dic11C22semidirect
132. C22⋊C4×Dic11C22semidirect
133. #10622553C22semidirect
134. #10622553C22semidirect
135. #10622552C22semidirect
138. #10622546C22semidirect
139. #10622288C22semidirect
140. #10622288C22semidirect
141. #10622287C22semidirect
142. #10622286C22semidirect
143. #10622285C22semidirect
144. #10622283C22semidirect
145. #10622282C22semidirect
146. #10622282C22semidirect
147. #10622282C22semidirect
148. #10622282C22semidirect
151. #10622281C22semidirect
152. #10622281C22semidirect
157. #10622279C22semidirect
166. #10622278C22semidirect
167. #10622278C22semidirect
168. #10622278C22semidirect
169. #10622277C22semidirect
170. #10622277C22semidirect
173. D11×#95C22semidirect
174. D11×#95C22semidirect
175. C11⋊#401C22semidirect
176. #10622273C22semidirect
177. #10622271C22semidirect
178. #10622268C22semidirect
179. #10622268C22semidirect
180. #10622266C22semidirect
181. #10622265C22semidirect
182. #10622264C22semidirect
183. #10622264C22semidirect
184. #10622263C22semidirect
185. #10622263C22semidirect
186. #10622259C22semidirect
579. #2649D11semidirect
787. #400C2×D11semidirect
788. #400C2×D11semidirect
789. #399C2×D11semidirect
797. #397C2×D11semidirect
798. #397C2×D11semidirect
801. #396C2×D11semidirect
823. #389C2×D11semidirect
843. #388C2×D11semidirect
844. #388C2×D11semidirect
853. #387C2×D11semidirect
885. #385C2×D11semidirect
911. C4×C22⋊C4C2×D11semidirect
1391. C11#34998semidirect

Maximal subgroups

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

subgroupindex
#130769492
#130769362
#130769342
#130769142
#130746792
#130746042
#130745982
#130732752
#130732672
#130731772
#130731692
#130731122
#130729372
#130728652
#130727352
#130726702
#130725542
#130723672
#130722832
#130721622
#130720052
#130719852
#130719382
#130713502
#130712692
#130712482
#130712102
#130711172
D11×#3862
C4×C22⋊C4×D112
C11×#26492
#3499811