Finite Group Databasebeta

← #14961371

Subgroups — #14961371

Order 2816.

2146 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076902C211yesmaximal, characteristic, complemented
2#13076900C211yesmaximal, characteristic, complemented
3#13076558C211yesmaximal, characteristic, complemented
4#13076317C211yesmaximal, characteristic, complemented
5#13076314C211yesmaximal, characteristic, complemented
6#13076270C211yesmaximal, characteristic, complemented
7#13076269C211yesmaximal, characteristic, complemented
8#13076264C211yesmaximal, characteristic, complemented
9#13076258C211yesmaximal, characteristic, complemented
10#13075830C211yesmaximal, characteristic, complemented
11#13075823C211yesmaximal, characteristic, complemented
12#13075636C211yesmaximal, characteristic, complemented
13#13075118C211yesmaximal, characteristic, complemented
14#13075114C211yesmaximal, characteristic, complemented
15#13075107C211yesmaximal, characteristic, complemented
16#13075106C211yesmaximal, characteristic, complemented
17#13074986C211yesmaximal, characteristic, complemented
18#13074426C211yesmaximal, characteristic, complemented
19#13074422C211yesmaximal, characteristic, complemented
20#13072299C211yesmaximal, characteristic, complemented
21#13072293C211yesmaximal, characteristic, complemented
22#13072289C211yesmaximal, characteristic, complemented
23#13072287C211yesmaximal, characteristic, complemented
24#13072283C211yesmaximal, characteristic, complemented
25#13072281C211yesmaximal, characteristic, complemented
26#13072279C211yesmaximal, characteristic, complemented
27#13072278C211yesmaximal, characteristic, complemented
28#13071195C211yesmaximal, characteristic
29#13071190C211yesmaximal, characteristic
30D11×#386C211yesmaximal, characteristic
31C11×#2732C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×C22⋊Q8C2211yescharacteristic, complemented
35C2×C11×C22⋊Q8C2211yescharacteristic, complemented
36C2×#66999C2211yescharacteristic
37C2×#66999C2211yescharacteristic, complemented
38C22×(C2×D11)⋊C4C2211yescharacteristic
39C2×#66977C2211yescharacteristic, complemented
40C2×#66950C2211yescharacteristic
41C2×#66949C2211yescharacteristic
42C2×#66949C2211yescharacteristic
43C2×#66949C2211yescharacteristic, complemented
44C2×#66949C2211yescharacteristic, complemented
45C2×#66949C2211yescharacteristic, complemented
46C2×#66945C2211yescharacteristic
47C2×C22⋊C4×D11C2211yescharacteristic
48C2×C22⋊C4×D11C2211yescharacteristic
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×C22⋊C4×D11C2211yescharacteristic
51C2×#66931C2211yescharacteristic, complemented
52C2×#66925C2211yescharacteristic
53C11×#399C2211yescharacteristic, complemented
54C11×#399C2211yescharacteristic, complemented
55C11×#398C2211yescharacteristic, complemented
56C11×#398C2211yescharacteristic, complemented
57C11×#396C2211yescharacteristic, complemented
58C11×#396C2211yescharacteristic, complemented
59C11×#391C2211yescharacteristic, complemented
60C11×#390C2211yescharacteristic
61C11×#389C2211yescharacteristic, complemented
62C11×#386C2211yescharacteristic
63C11×#386C2211yescharacteristic
64C11×#385C2211yescharacteristic, complemented
65C11×#385C2211yescharacteristic, complemented
66#10622844C2211yescharacteristic, complemented
67#10622842C2211yescharacteristic, complemented
68#10622834C2211yescharacteristic
69#10622833C2211yescharacteristic
70#10622833C2211yescharacteristic
71#10622826C2211yescharacteristic
72#10622826C2211yescharacteristic
73#10622825C2211yescharacteristic, complemented
74#10622823C2211yescharacteristic, complemented
75#10622823C2211yescharacteristic, complemented
76#10622607C2211yescharacteristic, complemented
77#10622607C2211yescharacteristic, complemented
78#10622607C2211yescharacteristic, complemented
79#10622607C2211yescharacteristic, complemented
80#10622607C2211yescharacteristic, complemented
81#10622607C2211yescharacteristic, complemented
82#10622607C2211yescharacteristic, complemented
83#10622605C2211yescharacteristic, complemented
84#10622605C2211yescharacteristic, complemented
85#10622605C2211yescharacteristic, complemented
86#10622605C2211yescharacteristic, complemented
87#10622602C2211yescharacteristic
88#10622602C2211yescharacteristic
89#10622602C2211yescharacteristic
90#10622602C2211yescharacteristic
91#10622602C2211yescharacteristic
92#10622602C2211yescharacteristic
93#10622602C2211yescharacteristic, complemented
94#10622602C2211yescharacteristic, complemented
95#10622602C2211yescharacteristic, complemented
96#10622602C2211yescharacteristic, complemented
97#10622602C2211yescharacteristic, complemented
98#10622601C2211yescharacteristic
99#10622600C2211yescharacteristic
100#10622600C2211yescharacteristic
101#10622600C2211yescharacteristic, complemented
102#10622600C2211yescharacteristic, complemented
103#10622600C2211yescharacteristic, complemented
104#10622599C2211yescharacteristic, complemented
105#10622598C2211yescharacteristic, complemented
106#10622596C2211yescharacteristic, complemented
107#10622596C2211yescharacteristic, complemented
108#10622595C2211yescharacteristic, complemented
109#10622594C2211yescharacteristic, complemented
110#10622593C2211yescharacteristic, complemented
111#10622592C2211yescharacteristic, complemented
112#10622592C2211yescharacteristic, complemented
113#10622591C2211yescharacteristic, complemented
114#10622591C2211yescharacteristic, complemented
115#10622587C2211yescharacteristic, complemented
116#10622585C2211yescharacteristic, complemented
117#10622571C2211yescharacteristic
118#10622571C2211yescharacteristic
119#10622570C2211yescharacteristic
120#10622570C2211yescharacteristic
121#10622570C2211yescharacteristic
122#10622570C2211yescharacteristic
123#10622569C2211yescharacteristic
124#10622569C2211yescharacteristic
125#10622569C2211yescharacteristic
126#10622569C2211yescharacteristic
127#10622568C2211yescharacteristic
128#10622568C2211yescharacteristic
129#10622568C2211yescharacteristic
130#10622568C2211yescharacteristic
131#10622568C2211yescharacteristic
132#10622568C2211yescharacteristic
133#10622563C2211yescharacteristic, complemented
134#10622562C2211yescharacteristic, complemented
135#10622562C2211yescharacteristic, complemented
136#10622561C2211yescharacteristic, complemented
137#10622561C2211yescharacteristic, complemented
138#10622561C2211yescharacteristic, complemented
139#10622561C2211yescharacteristic, complemented
140#10622561C2211yescharacteristic, complemented
141#10622561C2211yescharacteristic, complemented
142#10622560C2211yescharacteristic, complemented
143#10622560C2211yescharacteristic, complemented
144#10622560C2211yescharacteristic, complemented
145#10622560C2211yescharacteristic, complemented
146#10622559C2211yescharacteristic, complemented
147#10622559C2211yescharacteristic, complemented
148#10622559C2211yescharacteristic, complemented
149#10622555C2211yescharacteristic, complemented
150#10622555C2211yescharacteristic, complemented
151#10622555C2211yescharacteristic, complemented
152#10622552C2211yescharacteristic
153#10622546C2211yescharacteristic, complemented
154#10622546C2211yescharacteristic, complemented
155#10622289C2211yescharacteristic, complemented
156#10622286C2211yescharacteristic, complemented
157#10622286C2211yescharacteristic, complemented
158#10622286C2211yescharacteristic, complemented
159#10622281C2211yescharacteristic
160#10622281C2211yescharacteristic
161#10622281C2211yescharacteristic, complemented
162#10622281C2211yescharacteristic, complemented
163#10622281C2211yescharacteristic, complemented
164#10622280C2211yescharacteristic
165#10622280C2211yescharacteristic
166#10622280C2211yescharacteristic, complemented
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622277C2211yescharacteristic
172#10622277C2211yescharacteristic
173D11×#95C2211yescharacteristic
174D11×#95C2211yescharacteristic
175#10622274C2211yescharacteristic, complemented
176#10622273C2211yescharacteristic, complemented
177#10622271C2211yescharacteristic, complemented
178#10622270C2211yescharacteristic, complemented
179#10622270C2211yescharacteristic, complemented
180#10622269C2211yescharacteristic, complemented
181#10622268C2211yescharacteristic, complemented
182#10622267C2211yescharacteristic, complemented
183#10622265C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C24×D11C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C2×D4×D11—42no—
198C2×D4×D11—42no—
199C2×D4×D11Q818yescomplemented
200C22×D44C2311yescharacteristic
201C22×C4×D11—42no—
202C22×C4×D11—42no—
203C22×C4×D11—42no—
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×Dic22C2311yescharacteristic
214C22×Dic22C2311yescharacteristic
215C22×Dic22C2311yescharacteristic
216C11×C22⋊Q8—42no—
217C11×C22⋊Q8—42no—
218C2×C11×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C42×C11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251#66999—42no—
252#66999—42no—
253C2×(C2×D11)⋊C4—42no—
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×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290#66977—42no—
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×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314#66950—42no—
315#66949—42no—
316#66949—42no—
317#66949—42no—
318#66949—42no—
319#66949—42no—
320#66945—42no—
321C22⋊C4×D11—42no—
322C22⋊C4×D11—42no—
323C22⋊C4×D11—42no—
324C22⋊C4×D11—42no—
325#66931—42no—
326#66925—42no—
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
367#36747—111nomaximal, Sylow
368C24×C11C2411yescharacteristic
369C24×C11C2411yescharacteristic
370C23×D11—22no—
371C23×D11—22no—
372C23×D11—22no—
373C23×D11—22no—
374C23×D11—41no—
375C23×D11—41no—
376C23×D11—41no—
377C23×D11—41no—
378C23×D11—41no—
379C23×D11—41no—
380C23×D11—41no—
381C23×D11—41no—
382C23×D11C2×Q814yes—
383C23×D11C2×Q814yes—
384C23×D11C2411yescharacteristic
385C23×D11C2411yescharacteristic
386C23×D11C2411yescharacteristic
387C2×Q8×C11—22no—
388C2×Q8×C11—41no—
389C2×Q8×C11—41no—
390C2×D4×C11—41no—
391C2×D4×C11—41no—
392C2×D4×C11C2×Q814yes—
393C22×C4×C11—22no—
394C22×C4×C11—41no—
395C22×C4×C11—41no—
396C22×C4×C11—41no—
397C22×C4×C11—41no—
398C22×C4×C11—41no—
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
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C2×C22⋊D11—41no—
413C2×C22⋊D11—41no—
414C2×C22⋊D11—41no—
415C2×C22⋊D11—41no—
416C2×C22⋊D11C2×Q814yes—
417C2×C22⋊D11C2×Q814yes—
418C22×Dic11—22no—
419C22×Dic11—41no—
420C22×Dic11—41no—
421C22×Dic11—41no—
422C22×Dic11—41no—
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
436C22×Dic11C2411yescharacteristic
437D4×D11—416no—
438C2×D44—41no—
439C2×D44—41no—
440C2×D44C2×Q814yes—
441C2×C4×D11—22no—
442C2×C4×D11—22no—
443C2×C4×D11—22no—
444C2×C4×D11—22no—
445C2×C4×D11—22no—
446C2×C4×D11—22no—
447C2×C4×D11—22no—
448C2×C4×D11—22no—
449C2×C4×D11—22no—
450C2×C4×D11—22no—
451C2×C4×D11—41no—
452C2×C4×D11—41no—
453C2×C4×D11—41no—
454C2×C4×D11—41no—
455C2×C4×D11—41no—
456C2×C4×D11—41no—
457C2×C4×D11—41no—
458C2×C4×D11—41no—
459C2×C4×D11—41no—
460C2×C4×D11—41no—
461C2×C4×D11—41no—
462C2×C4×D11—41no—
463C2×C4×D11—41no—
464C2×C4×D11—41no—
465C2×C4×D11—41no—
466C2×C4×D11—41no—
467C2×C4×D11—416no—
468C2×C4×D11C2×Q814yes—
469C2×Dic22—22no—
470C2×Dic22—41no—
471C2×Dic22—41no—
472C2×Dic22—41no—
473C2×Dic22—41no—
474C2×Dic22—41no—
475C2×Dic22—41no—
476C2×Dic22—41no—
477C2×Dic22—41no—
478C11×C4⋊C4—22no—
479C11×C4⋊C4—22no—
480C11×C4⋊C4—41no—
481C11×C4⋊C4—41no—
482C11×C4⋊C4—41no—
483C11×C4⋊C4—41no—
484C11×C4⋊C4—41no—
485C11×C4⋊C4—41no—
486C11×C4⋊C4—41no—
487C11×C4⋊C4—41no—
488C11×C4⋊C4—41no—
489C11×C4⋊C4—41no—
490C11×C22⋊C4—22no—
491C11×C22⋊C4—41no—
492C11×C22⋊C4—41no—
493C11×C22⋊C4—41no—
494C11×C22⋊C4—41no—
495C11×C22⋊C4—41no—
496C11×C22⋊C4—41no—
497C11×C22⋊C4—41no—
498C11×C22⋊C4—41no—
499C11×C22⋊C4—41no—
500C42×C11—41no—
501C22⋊Dic11—22no—
502C22⋊Dic11—41no—
503C22⋊Dic11—41no—
504C22⋊Dic11—41no—
505C22⋊Dic11—41no—
506C22⋊Dic11—41no—
507C22⋊Dic11—41no—
508C22⋊Dic11—41no—
509C22⋊Dic11—41no—
510C22⋊Dic11—41no—
511(C2×D11)⋊C4—22no—
512(C2×D11)⋊C4—22no—
513(C2×D11)⋊C4—22no—
514(C2×D11)⋊C4—22no—
515(C2×D11)⋊C4—22no—
516(C2×D11)⋊C4—22no—
517(C2×D11)⋊C4—22no—
518(C2×D11)⋊C4—22no—
519(C2×D11)⋊C4—22no—
520(C2×D11)⋊C4—22no—
521(C2×D11)⋊C4—41no—
522(C2×D11)⋊C4—41no—
523(C2×D11)⋊C4—41no—
524(C2×D11)⋊C4—41no—
525(C2×D11)⋊C4—41no—
526(C2×D11)⋊C4—41no—
527(C2×D11)⋊C4—41no—
528(C2×D11)⋊C4—41no—
529(C2×D11)⋊C4—41no—
530(C2×D11)⋊C4—41no—
531(C2×D11)⋊C4—41no—
532(C2×D11)⋊C4—41no—
533(C2×D11)⋊C4—41no—
534(C2×D11)⋊C4—41no—
535(C2×D11)⋊C4—41no—
536(C2×D11)⋊C4—41no—
537(C2×D11)⋊C4—41no—
538(C2×D11)⋊C4—41no—
539C4⋊Dic11—41no—
540C4⋊Dic11—41no—
541C4⋊Dic11—41no—
542C4⋊Dic11—41no—
543C4⋊Dic11—41no—
544C4⋊Dic11—41no—
545C4⋊Dic11—41no—
546C4⋊Dic11—41no—
547Dic11⋊C4—22no—
548Dic11⋊C4—22no—
549Dic11⋊C4—22no—
550Dic11⋊C4—22no—
551Dic11⋊C4—41no—
552Dic11⋊C4—41no—
553Dic11⋊C4—41no—
554Dic11⋊C4—41no—
555Dic11⋊C4—41no—
556Dic11⋊C4—41no—
557Dic11⋊C4—41no—
558Dic11⋊C4—41no—
559Dic11⋊C4—41no—
560Dic11⋊C4—41no—
561Dic11⋊C4—41no—
562Dic11⋊C4—41no—
563Dic11⋊C4—41no—
564Dic11⋊C4—41no—
565Dic11⋊C4—41no—
566Dic11⋊C4—41no—
567C4×Dic11—41no—
568C4×Dic11—41no—
569C4×Dic11—41no—
570#2848—111no—
571#2848—111no—
572#2804—111no—
573#2784—111no—
574#2784—111no—
575#2780—111no—
576#2780—111no—
577#2780—111no—
578#2780—111no—
579#2748—111no—
580#2748—111no—
581#2732—111no—
582#2732D1111yescharacteristic, complemented
583#2692—111no—
584#2692—111no—
585#2692—111no—
586#2692—111no—
587#2683—111no—
588#2626—111no—
589#2626—111no—
590#2438—111no—
591#2438—111no—
592#2438—111no—
593#2438—111no—
594#2437—111no—
595#2437—111no—
596#2437—111no—
597#2437—111no—
598#2309—111no—
599#2308—111no—
600C2×#386—111no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
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×C11C22×Q812yes—
614C23×C11C22×Q812yes—
615C23×C11C2511yescharacteristic
616C22×D11—21no—
617C22×D11—21no—
618C22×D11—21no—
619C22×D11—21no—
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—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—28no—
633C22×D11—28no—
634C22×D11—44no—
635C22×D11—44no—
636C22×D11—44no—
637C22×D11—44no—
638C22×D11—44no—
639C22×D11—44no—
640C22×D11—44no—
641C22×D11—44no—
642C22×D11—82no—
643C22×D11—82no—
644C22×D11—82no—
645C22×D11—82no—
646C22×D11C22×Q812yes—
647C22×D11C22×Q812yes—
648C22×D11C22×Q812yes—
649C22×D11H(5,𝔽2)12yes—
650C22×D11H(5,𝔽2)12yes—
651Q8×C11—82no—
652D4×C11—44no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
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—44no—
691C2×C4×C11—82no—
692C2×C4×C11C22×Q812yes—
693C2×C4×C11H(5,𝔽2)12yes—
694C22⋊D11—44no—
695C22⋊D11—44no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
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—44no—
734C2×Dic11—82no—
735C2×Dic11C22×Q812yes—
736C2×Dic11H(5,𝔽2)12yes—
737D44—44no—
738C4×D11—28no—
739C4×D11—44no—
740C4×D11—44no—
741C4×D11—44no—
742C4×D11—44no—
743C4×D11—82no—
744C4×D11—82no—
745C4×D11—82no—
746C4×D11—82no—
747Dic22—82no—
748Dic22—82no—
749Dic22—82no—
750C23×D4—111no—
751C24×C4—111no—
752C2×C22⋊Q8—111no—
753C2×C22⋊Q8—111no—
754C2×C22⋊Q8—111no—
755C2×C22⋊Q8—111no—
756C2×C22⋊Q8—111no—
757C2×C22⋊Q8—111no—
758C2×C22⋊Q8—111no—
759C2×C22⋊Q8—111no—
760C2×C22⋊Q8—111no—
761C2×C22⋊Q8—111no—
762C2×C22⋊Q8C2×D1111yescharacteristic, complemented
763C2×C22⋊Q8C2×D1111yescharacteristic, complemented
764C2×#117—111no—
765C2×#117—111no—
766C22×C22⋊C4—111no—
767C22×C22⋊C4—111no—
768C22×C22⋊C4—111no—
769C22×C22⋊C4—111no—
770C22×C22⋊C4—111no—
771#400—111no—
772#400—111no—
773#400—111no—
774#400—111no—
775#399—111no—
776#399—111no—
777#399—111no—
778#399—111no—
779#399—111no—
780#399—111no—
781#399C2×D1111yescharacteristic, complemented
782#399C2×D1111yescharacteristic, complemented
783#398—111no—
784#398—111no—
785#398—111no—
786#398—111no—
787#398—111no—
788#398—111no—
789#398C2×D1111yescharacteristic, complemented
790#398C2×D1111yescharacteristic, complemented
791#396—111no—
792#396—111no—
793#396—111no—
794#396—111no—
795#396—111no—
796#396—111no—
797#396—111no—
798#396—111no—
799#396—111no—
800#396—111no—
801#396—111no—
802#396—111no—
803#396—111no—
804#396—111no—
805#396C2×D1111yescharacteristic, complemented
806#396C2×D1111yescharacteristic, complemented
807#395—111no—
808#395—111no—
809#395—111no—
810#395—111no—
811#393—111no—
812#393—111no—
813#393—111no—
814#393—111no—
815#393—111no—
816#393—111no—
817#393—111no—
818#393—111no—
819#391—111no—
820#391—111no—
821#391—111no—
822#391C2×D1111yescharacteristic, complemented
823#390—111no—
824#390—111no—
825#390—111no—
826#390—111no—
827#390—111no—
828#390—111no—
829#390—111no—
830#390C2×D1111yescharacteristic
831#389—111no—
832#389—111no—
833#389—111no—
834#389C2×D1111yescharacteristic, complemented
835#387—111no—
836#387—111no—
837#387—111no—
838#387—111no—
839#387—111no—
840#387—111no—
841#387—111no—
842#387—111no—
843#386—111no—
844#386—111no—
845#386—111no—
846#386—111no—
847#386—111no—
848#386—111no—
849#386—111no—
850#386—111no—
851#386—111no—
852#386—111no—
853#386—111no—
854#386—111no—
855#386—111no—
856#386—111no—
857#386C2×D1111yescharacteristic
858#386C2×D1111yescharacteristic
859#385—111no—
860#385—111no—
861#385—111no—
862#385—111no—
863#385—111no—
864#385—111no—
865#385—111no—
866#385—111no—
867#385—111no—
868#385—111no—
869#385—111no—
870#385—111no—
871#385—111no—
872#385—111no—
873#385—111no—
874#385—111no—
875#385—111no—
876#385—111no—
877#385—111no—
878#385—111no—
879#385—111no—
880#385—111no—
881#385C2×D1111yescharacteristic, complemented
882#385C2×D1111yescharacteristic, complemented
883#381—111no—
884#381—111no—
885#380—111no—
886#380—111no—
887#380—111no—
888#380—111no—
889#380—111no—
890#380—111no—
891#380—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—
901#379—111no—
902#379—111no—
903C2×#95—111no—
904C2×#95—111no—
905C22×C11—22no—
906C22×C11—22no—
907C22×C11—22no—
908C22×C11—22no—
909C22×C11—22no—
910C22×C11—22no—
911C22×C11—41no—
912C22×C11—41no—
913C22×C11—41no—
914C22×C11—41no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11—41no—
918C22×C11—41no—
919C22×C11C23×Q811yescharacteristic
920C22×C11C2×H(5,𝔽2)11yescharacteristic
921C22×C11C2×H(5,𝔽2)11yescharacteristic
922C22×C11C2×H(5,𝔽2)11yescharacteristic
923C22×C11C2×H(5,𝔽2)11yescharacteristic
924C22×C11#58511yescharacteristic
925C22×C11#58511yescharacteristic
926C2×D11—22no—
927C2×D11—22no—
928C2×D11—22no—
929C2×D11—22no—
930C2×D11—22no—
931C2×D11—22no—
932C2×D11—22no—
933C2×D11—22no—
934C2×D11—22no—
935C2×D11—22no—
936C2×D11—22no—
937C2×D11—22no—
938C2×D11—416no—
939C2×D11—41no—
940C2×D11—41no—
941C2×D11—41no—
942C2×D11—41no—
943C2×D11—41no—
944C2×D11—41no—
945C2×D11—41no—
946C2×D11—41no—
947C2×D11—88no—
948C2×D11#54314yes—
949C4×C11—22no—
950C4×C11—22no—
951C4×C11—41no—
952C4×C11—41no—
953C4×C11—41no—
954C4×C11—41no—
955C4×C11—41no—
956C4×C11—41no—
957C4×C11—41no—
958C4×C11—41no—
959C4×C11—41no—
960C4×C11—41no—
961C4×C11—41no—
962Dic11—22no—
963Dic11—22no—
964Dic11—41no—
965Dic11—41no—
966Dic11—41no—
967Dic11—41no—
968Dic11—41no—
969Dic11—41no—
970Dic11—41no—
971Dic11—41no—
972Dic11—41no—
973Dic11—41no—
974Dic11—41no—
975C25—111no—
976C25—111no—
977C22×Q8—111no—
978C22×Q8—111no—
979C22×Q8—111no—
980C22×Q8C22×D1111yescharacteristic
981C22×D4—111no—
982C22×D4—111no—
983C22×D4—118no—
984C22×D4—111no—
985C22×D4—442no—
986C22×D4—442no—
987C22×D4C22×D1111yescharacteristic
988C23×C4—111no—
989C23×C4—111no—
990C23×C4—111no—
991C23×C4—111no—
992C23×C4—111no—
993C23×C4—111no—
994C23×C4—111no—
995C23×C4—111no—
996C23×C4—111no—
997C23×C4—111no—
998C23×C4—111no—
999C23×C4—442no—
1000C23×C4—442no—
1001C23×C4—442no—
1002C23×C4C22×D1111yescharacteristic
1003C23×C4C22×D1111yescharacteristic
1004C22⋊Q8—42no—
1005C22⋊Q8—42no—
1006C22⋊Q8—442no—
1007C22⋊Q8—442no—
1008C22⋊Q8—442no—
1009C22⋊Q8—442no—
1010C22⋊Q8—442no—
1011C22⋊Q8—442no—
1012C22⋊Q8—442no—
1013C22⋊Q8—442no—
1014C22⋊Q8—442no—
1015C22⋊Q8—442no—
1016#117—442no—
1017#117—442no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C4⋊C4—111no—
1025C2×C4⋊C4—111no—
1026C2×C4⋊C4—111no—
1027C2×C4⋊C4—111no—
1028C2×C4⋊C4—111no—
1029C2×C4⋊C4—111no—
1030C2×C4⋊C4—111no—
1031C2×C4⋊C4—111no—
1032C2×C4⋊C4—111no—
1033C2×C4⋊C4—111no—
1034C2×C4⋊C4—111no—
1035C2×C4⋊C4—111no—
1036C2×C4⋊C4—111no—
1037C2×C4⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
1047C2×C4⋊C4C22×D1111yescharacteristic
1048C2×C4⋊C4C22×D1111yescharacteristic
1049C2×C4⋊C4C22×D1111yescharacteristic
1050C2×C4⋊C4C22×D1111yescharacteristic
1051C2×C4⋊C4C22×D1111yescharacteristic
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×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
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—442no—
1097C2×C22⋊C4—442no—
1098C2×C22⋊C4—442no—
1099C2×C22⋊C4—442no—
1100C2×C22⋊C4—442no—
1101C2×C22⋊C4C22×D1111yescharacteristic
1102C2×C22⋊C4C22×D1111yescharacteristic
1103C2×C22⋊C4C22×D1111yescharacteristic
1104C2×C22⋊C4C22×D1111yescharacteristic
1105C2×C22⋊C4C22×D1111yescharacteristic
1106C2×C22⋊C4C22×D1111yescharacteristic
1107C2×C22⋊C4C22×D1111yescharacteristic
1108C2×C22⋊C4C22×D1111yescharacteristic
1109C2×C22⋊C4C22×D1111yescharacteristic
1110C2×C22⋊C4C22×D1111yescharacteristic
1111C2×C42—111no—
1112C2×C42—111no—
1113C2×C42—111no—
1114C2×C42C22×D1111yescharacteristic
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
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#95C22×D1111yescharacteristic
1148#95C22×D1111yescharacteristic
1149#95C22×D1111yescharacteristic
1150#95C22×D1111yescharacteristic
1151#95C22×D1111yescharacteristic
1152#95C22×D1111yescharacteristic
1153#95C22×D1111yescharacteristic
1154#95C22×D1111yescharacteristic
1155C2×C11—42no—
1156C2×C11—42no—
1157C2×C11C2×#54311yescharacteristic
1158C2×C11#350111yescharacteristic
1159C2×C11#350111yescharacteristic
1160C2×C11#353211yescharacteristic
1161C2×C11#353311yescharacteristic
1162C2×C11#354211yescharacteristic
1163C2×C11#354211yescharacteristic
1164D11—24no—
1165D11—42no—
1166D11—42no—
1167C24—111no—
1168C24—111no—
1169C24—111no—
1170C24—114no—
1171C24—114no—
1172C24—222no—
1173C24—222no—
1174C24—222no—
1175C24—222no—
1176C24—441no—
1177C24—441no—
1178C24—441no—
1179C24—441no—
1180C24—441no—
1181C24—441no—
1182C24—441no—
1183C24—441no—
1184C24C23×D1111yescharacteristic
1185C24C23×D1111yescharacteristic
1186C2×Q8—22no—
1187C2×Q8—41no—
1188C2×Q8—41no—
1189C2×Q8—222no—
1190C2×Q8—441no—
1191C2×Q8—441no—
1192C2×Q8—441no—
1193C2×Q8—441no—
1194C2×Q8—441no—
1195C2×Q8—441no—
1196C2×Q8—441no—
1197C2×Q8—441no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—114no—
1201C2×D4—114no—
1202C2×D4—114no—
1203C2×D4—441no—
1204C2×D4—441no—
1205C2×D4—4416no—
1206C2×D4—441no—
1207C2×D4—441no—
1208C2×D4—441no—
1209C2×D4—441no—
1210C2×D4Q8×D1114yes—
1211C22×C4—22no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—111no—
1218C22×C4—111no—
1219C22×C4—114no—
1220C22×C4—111no—
1221C22×C4—111no—
1222C22×C4—111no—
1223C22×C4—111no—
1224C22×C4—111no—
1225C22×C4—111no—
1226C22×C4—111no—
1227C22×C4—111no—
1228C22×C4—111no—
1229C22×C4—111no—
1230C22×C4—111no—
1231C22×C4—222no—
1232C22×C4—222no—
1233C22×C4—222no—
1234C22×C4—222no—
1235C22×C4—222no—
1236C22×C4—222no—
1237C22×C4—222no—
1238C22×C4—222no—
1239C22×C4—222no—
1240C22×C4—222no—
1241C22×C4—222no—
1242C22×C4—441no—
1243C22×C4—441no—
1244C22×C4—441no—
1245C22×C4—441no—
1246C22×C4—441no—
1247C22×C4—441no—
1248C22×C4—441no—
1249C22×C4—441no—
1250C22×C4—441no—
1251C22×C4—441no—
1252C22×C4—441no—
1253C22×C4—441no—
1254C22×C4—441no—
1255C22×C4—441no—
1256C22×C4—441no—
1257C22×C4—441no—
1258C22×C4—4416no—
1259C22×C4—441no—
1260C22×C4—441no—
1261C22×C4—441no—
1262C22×C4—441no—
1263C22×C4—441no—
1264C22×C4C23×D1111yescharacteristic
1265C22×C4C23×D1111yescharacteristic
1266C22×C4C23×D1111yescharacteristic
1267C22×C4C23×D1111yescharacteristic
1268C22×C4C23×D1111yescharacteristic
1269C22×C4C23×D1111yescharacteristic
1270C22×C4C23×D1111yescharacteristic
1271C22×C4C23×D1111yescharacteristic
1272C22×C4C23×D1111yescharacteristic
1273C22×C4C23×D1111yescharacteristic
1274C22×C4C23×D1111yescharacteristic
1275C22×C4C23×D1111yescharacteristic
1276C22×C4C23×D1111yescharacteristic
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—222no—
1290C4⋊C4—222no—
1291C4⋊C4—222no—
1292C4⋊C4—222no—
1293C4⋊C4—441no—
1294C4⋊C4—441no—
1295C4⋊C4—441no—
1296C4⋊C4—441no—
1297C4⋊C4—441no—
1298C4⋊C4—441no—
1299C4⋊C4—441no—
1300C4⋊C4—441no—
1301C4⋊C4—441no—
1302C4⋊C4—441no—
1303C4⋊C4—441no—
1304C4⋊C4—441no—
1305C4⋊C4—441no—
1306C4⋊C4—441no—
1307C4⋊C4—441no—
1308C4⋊C4—441no—
1309C4⋊C4—441no—
1310C4⋊C4—441no—
1311C4⋊C4—441no—
1312C4⋊C4—441no—
1313C4⋊C4—441no—
1314C4⋊C4—441no—
1315C4⋊C4—441no—
1316C4⋊C4—441no—
1317C22⋊C4—22no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—222no—
1328C22⋊C4—222no—
1329C22⋊C4—222no—
1330C22⋊C4—222no—
1331C22⋊C4—222no—
1332C22⋊C4—222no—
1333C22⋊C4—222no—
1334C22⋊C4—222no—
1335C22⋊C4—222no—
1336C22⋊C4—222no—
1337C22⋊C4—222no—
1338C22⋊C4—441no—
1339C22⋊C4—441no—
1340C22⋊C4—441no—
1341C22⋊C4—441no—
1342C22⋊C4—441no—
1343C22⋊C4—441no—
1344C22⋊C4—441no—
1345C22⋊C4—441no—
1346C22⋊C4—441no—
1347C22⋊C4—441no—
1348C22⋊C4—441no—
1349C22⋊C4—441no—
1350C22⋊C4—441no—
1351C22⋊C4—441no—
1352C22⋊C4—441no—
1353C22⋊C4—441no—
1354C22⋊C4—441no—
1355C22⋊C4—441no—
1356C22⋊C4—441no—
1357C22⋊C4—441no—
1358C22⋊C4—441no—
1359C22⋊C4—441no—
1360C22⋊C4—441no—
1361C22⋊C4—441no—
1362C22⋊C4—441no—
1363C22⋊C4—441no—
1364C22⋊C4—441no—
1365C42—41no—
1366C42—441no—
1367C42—441no—
1368C42—441no—
1369C11#3674711yescharacteristic, complemented, Sylow
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—112no—
1383C23—112no—
1384C23—112no—
1385C23—112no—
1386C23—112no—
1387C23—228no—
1388C23—228no—
1389C23—221no—
1390C23—221no—
1391C23—221no—
1392C23—221no—
1393C23—221no—
1394C23—221no—
1395C23—221no—
1396C23—221no—
1397C23—221no—
1398C23—221no—
1399C23—221no—
1400C23—221no—
1401C23—221no—
1402C23—221no—
1403C23—221no—
1404C23—221no—
1405C23—444no—
1406C23—444no—
1407C23—444no—
1408C23—444no—
1409C23—444no—
1410C23—444no—
1411C23—444no—
1412C23—444no—
1413C23—882no—
1414C23—882no—
1415C23—882no—
1416C23—882no—
1417C23C2×Q8×D1112yes—
1418C23C2×Q8×D1112yes—
1419C23C24×D1111yescharacteristic
1420Q8—82no—
1421Q8—882no—
1422Q8—882no—
1423Q8—882no—
1424D4—44no—
1425D4—444no—
1426D4—444no—
1427D4—444no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
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—44no—
1466C2×C4—82no—
1467C2×C4—112no—
1468C2×C4—112no—
1469C2×C4—228no—
1470C2×C4—221no—
1471C2×C4—221no—
1472C2×C4—221no—
1473C2×C4—221no—
1474C2×C4—221no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—221no—
1489C2×C4—221no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—444no—
1508C2×C4—444no—
1509C2×C4—444no—
1510C2×C4—444no—
1511C2×C4—444no—
1512C2×C4—882no—
1513C2×C4—882no—
1514C2×C4—882no—
1515C2×C4—882no—
1516C2×C4—882no—
1517C2×C4#6703712yes—
1518C2×C4C2×Q8×D1112yes—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22—22no—
1524C22—22no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—114no—
1534C22—222no—
1535C22—222no—
1536C22—222no—
1537C22—222no—
1538C22—222no—
1539C22—222no—
1540C22—222no—
1541C22—222no—
1542C22—222no—
1543C22—222no—
1544C22—222no—
1545C22—222no—
1546C22—4416no—
1547C22—441no—
1548C22—441no—
1549C22—441no—
1550C22—441no—
1551C22—441no—
1552C22—441no—
1553C22—441no—
1554C22—441no—
1555C22—888no—
1556C22C2×#6703711yescharacteristic
1557C22C22×Q8×D1111yescharacteristic
1558C22#1062345311yescharacteristic
1559C22D11×H(5,𝔽2)11yescharacteristic
1560C22D11×H(5,𝔽2)11yescharacteristic
1561C22D11×H(5,𝔽2)11yescharacteristic
1562C22#1062345711yescharacteristic
1563C4—22no—
1564C4—22no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—222no—
1577C4—222no—
1578C4—441no—
1579C4—441no—
1580C4—441no—
1581C4—441no—
1582C4—441no—
1583C4—441no—
1584C4—441no—
1585C4—441no—
1586C4—441no—
1587C4—441no—
1588C4—441no—
1589C2—42no—
1590C2—42no—
1591C2—224no—
1592C2—442no—
1593C2—442no—
1594C2D11×#54311yescharacteristic
1595C2#1308241111yescharacteristic
1596C2#1308241511yescharacteristic
1597C2#1308276811yescharacteristic
1598C2#1308279111yescharacteristic
1599C2#1308292211yescharacteristic
1600C2#1308292911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2732C2
prime radicalC22×D4×D11C22
hypercenter#2732D11
hypocenterC11#36747
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2732

Complements

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

NH ≅ G/Ntype
1. #13076902C2semidirect
2. #13076900C2semidirect
3. #13076558C2semidirect
4. #13076317C2semidirect
5. #13076314C2semidirect
6. #13076270C2semidirect
7. #13076269C2semidirect
8. #13076264C2semidirect
9. #13076258C2semidirect
10. #13075830C2semidirect
11. #13075823C2semidirect
12. #13075636C2semidirect
13. #13075118C2semidirect
14. #13075114C2semidirect
15. #13075107C2semidirect
16. #13075106C2semidirect
17. #13074986C2semidirect
18. #13074426C2semidirect
19. #13074422C2semidirect
20. #13072299C2semidirect
21. #13072293C2semidirect
22. #13072289C2semidirect
23. #13072287C2semidirect
24. #13072283C2semidirect
25. #13072281C2semidirect
26. #13072279C2semidirect
27. #13072278C2semidirect
31. C11×#2732C2semidirect
34. C2×C11×C22⋊Q8C22semidirect
35. C2×C11×C22⋊Q8C22semidirect
37. C2×#66999C22semidirect
39. C2×#66977C22semidirect
43. C2×#66949C22semidirect
44. C2×#66949C22semidirect
45. C2×#66949C22semidirect
51. C2×#66931C22semidirect
53. C11×#399C22semidirect
54. C11×#399C22semidirect
55. C11×#398C22semidirect
56. C11×#398C22semidirect
57. C11×#396C22semidirect
58. C11×#396C22semidirect
59. C11×#391C22semidirect
61. C11×#389C22semidirect
64. C11×#385C22semidirect
65. C11×#385C22semidirect
66. #10622844C22semidirect
67. #10622842C22semidirect
73. #10622825C22semidirect
74. #10622823C22semidirect
75. #10622823C22semidirect
76. #10622607C22semidirect
77. #10622607C22semidirect
78. #10622607C22semidirect
79. #10622607C22semidirect
80. #10622607C22semidirect
81. #10622607C22semidirect
82. #10622607C22semidirect
83. #10622605C22semidirect
84. #10622605C22semidirect
85. #10622605C22semidirect
86. #10622605C22semidirect
93. #10622602C22semidirect
94. #10622602C22semidirect
95. #10622602C22semidirect
96. #10622602C22semidirect
97. #10622602C22semidirect
101. #10622600C22semidirect
102. #10622600C22semidirect
103. #10622600C22semidirect
104. #10622599C22semidirect
105. #10622598C22semidirect
106. #10622596C22semidirect
107. #10622596C22semidirect
108. #10622595C22semidirect
109. #10622594C22semidirect
110. #10622593C22semidirect
111. #10622592C22semidirect
112. #10622592C22semidirect
113. #10622591C22semidirect
114. #10622591C22semidirect
115. #10622587C22semidirect
116. #10622585C22semidirect
133. #10622563C22semidirect
134. #10622562C22semidirect
135. #10622562C22semidirect
136. #10622561C22semidirect
137. #10622561C22semidirect
138. #10622561C22semidirect
139. #10622561C22semidirect
140. #10622561C22semidirect
141. #10622561C22semidirect
142. #10622560C22semidirect
143. #10622560C22semidirect
144. #10622560C22semidirect
145. #10622560C22semidirect
146. #10622559C22semidirect
147. #10622559C22semidirect
148. #10622559C22semidirect
149. #10622555C22semidirect
150. #10622555C22semidirect
151. #10622555C22semidirect
153. #10622546C22semidirect
154. #10622546C22semidirect
155. #10622289C22semidirect
156. #10622286C22semidirect
157. #10622286C22semidirect
158. #10622286C22semidirect
161. #10622281C22semidirect
162. #10622281C22semidirect
163. #10622281C22semidirect
166. #10622280C22semidirect
175. #10622274C22semidirect
176. #10622273C22semidirect
177. #10622271C22semidirect
178. #10622270C22semidirect
179. #10622270C22semidirect
180. #10622269C22semidirect
181. #10622268C22semidirect
182. #10622267C22semidirect
183. #10622265C22semidirect
184. #10622260C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
199. C2×D4×D11Q8semidirect
582. #2732D11semidirect
762. C2×C22⋊Q8C2×D11semidirect
763. C2×C22⋊Q8C2×D11semidirect
781. #399C2×D11semidirect
782. #399C2×D11semidirect
789. #398C2×D11semidirect
790. #398C2×D11semidirect
805. #396C2×D11semidirect
806. #396C2×D11semidirect
822. #391C2×D11semidirect
834. #389C2×D11semidirect
881. #385C2×D11semidirect
882. #385C2×D11semidirect
1369. C11#36747semidirect

Maximal subgroups

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

subgroupindex
#130769022
#130769002
#130765582
#130763172
#130763142
#130762702
#130762692
#130762642
#130762582
#130758302
#130758232
#130756362
#130751182
#130751142
#130751072
#130751062
#130749862
#130744262
#130744222
#130722992
#130722932
#130722892
#130722872
#130722832
#130722812
#130722792
#130722782
#130711952
#130711902
D11×#3862
C11×#27322
#3674711