Finite Group Databasebeta

← #14967977

Subgroups — #14967977

Order 2816.

1886 conjugacy classes of subgroups.

The subgroup lattice has 1584 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076944C211yesmaximal, characteristic, complemented
2#13076941C211yesmaximal, characteristic, complemented
3#13076554C211yesmaximal, characteristic, complemented
4#13076548C211yesmaximal, characteristic, complemented
5#13076519C211yesmaximal, characteristic, complemented
6#13076518C211yesmaximal, characteristic, complemented
7#13076218C211yesmaximal, characteristic, complemented
8#13076152C211yesmaximal, characteristic, complemented
9#13076005C211yesmaximal, characteristic, complemented
10#13075937C211yesmaximal, characteristic, complemented
11#13075900C211yesmaximal, characteristic, complemented
12#13075886C211yesmaximal, characteristic, complemented
13#13075733C211yesmaximal, characteristic, complemented
14#13075709C211yesmaximal, characteristic, complemented
15#13075375C211yesmaximal, characteristic, complemented
16#13075321C211yesmaximal, characteristic, complemented
17#13075265C211yesmaximal, characteristic, complemented
18#13075204C211yesmaximal, characteristic, complemented
19#13074350C211yesmaximal, characteristic, complemented
20#13073544C211yesmaximal, characteristic, complemented
21#13073509C211yesmaximal, characteristic, complemented
22#13072339C211yesmaximal, characteristic, complemented
23#13072165C211yesmaximal, characteristic, complemented
24#13072156C211yesmaximal, characteristic, complemented
25#13072091C211yesmaximal, characteristic, complemented
26#13072082C211yesmaximal, characteristic, complemented
27#13072055C211yesmaximal, characteristic, complemented
28#13071317C211yesmaximal, characteristic, complemented
29#13071244C211yesmaximal, characteristic, complemented
30C2×#10622557C211yesmaximal, characteristic, complemented
31C11×#2622C211yesmaximal, characteristic, complemented
32C2×C11×#120C2211yescharacteristic
33C22×C11×C22⋊C4C2211yescharacteristic
34C2×#67006C2211yescharacteristic
35C2×#67006C2211yescharacteristic
36C22×C22⋊Dic11C2211yescharacteristic
37C22×C22⋊Dic11C2211yescharacteristic
38C2×#66992C2211yescharacteristic
39C2×#66992C2211yescharacteristic
40C2×#66992C2211yescharacteristic
41C2×#66988C2211yescharacteristic
42C2×D4×Dic11C2211yescharacteristic
43C2×#66983C2211yescharacteristic
44C22×Dic11⋊C4C2211yescharacteristic
45C22×C4×Dic11C2211yescharacteristic
46C2×#66942C2211yescharacteristic, complemented
47C2×#66939C2211yescharacteristic
48C2×#66939C2211yescharacteristic
49C2×#66937C2211yescharacteristic, complemented
50C2×#66936C2211yescharacteristic
51C2×(C22⋊D11)⋊C4C2211yescharacteristic
52C2×(C22⋊D11)⋊C4C2211yescharacteristic
53C11×#397C2211yescharacteristic
54C11×#397C2211yescharacteristic
55C11×#397C2211yescharacteristic
56C11×#397C2211yescharacteristic
57C11×#394C2211yescharacteristic
58C11×#394C2211yescharacteristic
59C11×#394C2211yescharacteristic
60C11×#394C2211yescharacteristic
61C11×#386C2211yescharacteristic
62C11×#386C2211yescharacteristic
63C11×#385C2211yescharacteristic
64C11×#385C2211yescharacteristic
65C11×#379C2211yescharacteristic
66#10622836C2211yescharacteristic
67#10622836C2211yescharacteristic
68#10622836C2211yescharacteristic
69#10622835C2211yescharacteristic
70#10622834C2211yescharacteristic
71#10622834C2211yescharacteristic
72#10622833C2211yescharacteristic
73#10622826C2211yescharacteristic
74#10622826C2211yescharacteristic
75#10622825C2211yescharacteristic
76C2×C11⋊#95C2211yescharacteristic
77C2×C11⋊#95C2211yescharacteristic
78#10622607C2211yescharacteristic, complemented
79#10622604C2211yescharacteristic, complemented
80#10622603C2211yescharacteristic, complemented
81#10622603C2211yescharacteristic, complemented
82#10622603C2211yescharacteristic, complemented
83#10622600C2211yescharacteristic, complemented
84#10622600C2211yescharacteristic, complemented
85#10622598C2211yescharacteristic, complemented
86#10622597C2211yescharacteristic, complemented
87#10622594C2211yescharacteristic, complemented
88#10622594C2211yescharacteristic, complemented
89#10622593C2211yescharacteristic, complemented
90#10622591C2211yescharacteristic, complemented
91#10622590C2211yescharacteristic, complemented
92#10622585C2211yescharacteristic, complemented
93#10622574C2211yescharacteristic
94#10622574C2211yescharacteristic
95#10622574C2211yescharacteristic
96#10622574C2211yescharacteristic
97#10622574C2211yescharacteristic
98#10622574C2211yescharacteristic
99#10622573C2211yescharacteristic
100#10622573C2211yescharacteristic
101#10622572C2211yescharacteristic
102#10622572C2211yescharacteristic
103#10622572C2211yescharacteristic
104#10622572C2211yescharacteristic, complemented
105#10622571C2211yescharacteristic
106#10622571C2211yescharacteristic
107#10622571C2211yescharacteristic, complemented
108#10622570C2211yescharacteristic
109#10622570C2211yescharacteristic
110#10622570C2211yescharacteristic
111#10622570C2211yescharacteristic, complemented
112#10622570C2211yescharacteristic, complemented
113#10622570C2211yescharacteristic, complemented
114#10622569C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622569C2211yescharacteristic
117#10622569C2211yescharacteristic, complemented
118#10622566C2211yescharacteristic
119#10622566C2211yescharacteristic
120#10622566C2211yescharacteristic, complemented
121#10622566C2211yescharacteristic, complemented
122#10622565C2211yescharacteristic
123#10622564C2211yescharacteristic
124#10622564C2211yescharacteristic
125#10622564C2211yescharacteristic
126#10622564C2211yescharacteristic, complemented
127#10622564C2211yescharacteristic, complemented
128#10622563C2211yescharacteristic
129#10622563C2211yescharacteristic, complemented
130#10622562C2211yescharacteristic
131#10622562C2211yescharacteristic
132#10622562C2211yescharacteristic
133#10622561C2211yescharacteristic
134#10622561C2211yescharacteristic
135#10622561C2211yescharacteristic
136#10622561C2211yescharacteristic, complemented
137#10622559C2211yescharacteristic
138#10622559C2211yescharacteristic, complemented
139#10622558C2211yescharacteristic
140#10622558C2211yescharacteristic
141#10622558C2211yescharacteristic, complemented
142#10622557C2211yescharacteristic
143#10622557C2211yescharacteristic
144#10622557C2211yescharacteristic
145#10622557C2211yescharacteristic
146#10622557C2211yescharacteristic
147#10622557C2211yescharacteristic
148#10622557C2211yescharacteristic
149#10622557C2211yescharacteristic
150#10622556C2211yescharacteristic
151#10622556C2211yescharacteristic, complemented
152#10622555C2211yescharacteristic
153#10622555C2211yescharacteristic
154C22⋊C4×Dic11C2211yescharacteristic
155#10622289C2211yescharacteristic, complemented
156#10622287C2211yescharacteristic, complemented
157#10622285C2211yescharacteristic, complemented
158#10622283C2211yescharacteristic, complemented
159#10622283C2211yescharacteristic, complemented
160#10622282C2211yescharacteristic, complemented
161#10622282C2211yescharacteristic, complemented
162#10622282C2211yescharacteristic, complemented
163#10622282C2211yescharacteristic, complemented
164#10622282C2211yescharacteristic, complemented
165#10622281C2211yescharacteristic, complemented
166#10622280C2211yescharacteristic, complemented
167#10622278C2211yescharacteristic, complemented
168#10622277C2211yescharacteristic, complemented
169#10622274C2211yescharacteristic, complemented
170#10622274C2211yescharacteristic, complemented
171#10622272C2211yescharacteristic, complemented
172#10622272C2211yescharacteristic, complemented
173#10622271C2211yescharacteristic, complemented
174#10622268C2211yescharacteristic, complemented
175#10622268C2211yescharacteristic, complemented
176#10622268C2211yescharacteristic, complemented
177#10622268C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622266C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622264C2211yescharacteristic, complemented
182#10622263C2211yescharacteristic, complemented
183#10622260C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C11×#120—42no—
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4—42no—
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232#67006—42no—
233#67006—42no—
234C2×C22⋊Dic11—24no—
235C2×C22⋊Dic11—42no—
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
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×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255#66992—24no—
256#66992—42no—
257#66992—42no—
258#66988—42no—
259D4×Dic11—42no—
260#66983—42no—
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×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×Dic11⋊C4—42no—
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×C4×Dic11—42no—
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316#66942—42no—
317#66939—42no—
318#66939—42no—
319#66937—42no—
320#66936—42no—
321(C22⋊D11)⋊C4—24no—
322(C22⋊D11)⋊C4—42no—
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
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
363#36987—111nomaximal, Sylow
364C24×C11—22no—
365C24×C11—22no—
366C24×C11—22no—
367C24×C11—41no—
368C24×C11—41no—
369C24×C11—41no—
370C24×C11—41no—
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C24×C11C2411yescharacteristic
375C23×D11C2411yescharacteristic
376C23×D11C2411yescharacteristic
377C2×D4×C11—22no—
378C2×D4×C11—22no—
379C2×D4×C11—22no—
380C2×D4×C11—41no—
381C2×D4×C11—41no—
382C2×D4×C11—41no—
383C2×D4×C11—41no—
384C2×D4×C11—41no—
385C2×D4×C11—41no—
386C22×C4×C11—22no—
387C22×C4×C11—22no—
388C22×C4×C11—41no—
389C22×C4×C11—41no—
390C22×C4×C11—41no—
391C22×C4×C11—41no—
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C2×C22⋊D11—22no—
404C2×C22⋊D11—22no—
405C2×C22⋊D11—22no—
406C2×C22⋊D11—22no—
407C2×C22⋊D11—22no—
408C2×C22⋊D11—22no—
409C2×C22⋊D11—22no—
410C2×C22⋊D11—22no—
411C2×C22⋊D11—41no—
412C2×C22⋊D11—41no—
413C2×C22⋊D11—41no—
414C2×C22⋊D11—41no—
415C2×C22⋊D11—41no—
416C2×C22⋊D11—41no—
417C2×C22⋊D11—41no—
418C2×C22⋊D11—41no—
419C2×C22⋊D11—41no—
420C2×C22⋊D11—41no—
421C2×C22⋊D11—41no—
422C2×C22⋊D11—41no—
423C2×C22⋊D11—41no—
424C2×C22⋊D11—41no—
425C2×C22⋊D11—41no—
426C2×C22⋊D11—41no—
427C22×Dic11—22no—
428C22×Dic11—22no—
429C22×Dic11—22no—
430C22×Dic11—22no—
431C22×Dic11—22no—
432C22×Dic11—22no—
433C22×Dic11—41no—
434C22×Dic11—41no—
435C22×Dic11—41no—
436C22×Dic11—41no—
437C22×Dic11—41no—
438C22×Dic11—41no—
439C22×Dic11—41no—
440C22×Dic11—41no—
441C22×Dic11#4114yes—
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C2×D44—41no—
457C2×D44—41no—
458C2×D44—41no—
459C2×C4×D11—22no—
460C2×C4×D11—41no—
461C2×C4×D11—41no—
462C2×C4×D11—41no—
463C2×C4×D11—41no—
464C2×C4×D11—41no—
465C11×C4⋊C4—41no—
466C11×C4⋊C4—41no—
467C11×C4⋊C4—41no—
468C11×C4⋊C4—41no—
469C11×C22⋊C4—22no—
470C11×C22⋊C4—22no—
471C11×C22⋊C4—22no—
472C11×C22⋊C4—41no—
473C11×C22⋊C4—41no—
474C11×C22⋊C4—41no—
475C11×C22⋊C4—41no—
476C11×C22⋊C4—41no—
477C11×C22⋊C4—41no—
478C11×C22⋊C4—41no—
479C11×C22⋊C4—41no—
480C11×C22⋊C4—41no—
481C11×C22⋊C4—41no—
482C11×C22⋊C4—41no—
483C11×C22⋊C4—41no—
484C11×C22⋊C4—41no—
485C11×C22⋊C4—41no—
486C22⋊Dic11—22no—
487C22⋊Dic11—22no—
488C22⋊Dic11—22no—
489C22⋊Dic11—22no—
490C22⋊Dic11—22no—
491C22⋊Dic11—22no—
492C22⋊Dic11—22no—
493C22⋊Dic11—22no—
494C22⋊Dic11—22no—
495C22⋊Dic11—41no—
496C22⋊Dic11—41no—
497C22⋊Dic11—41no—
498C22⋊Dic11—41no—
499C22⋊Dic11—41no—
500C22⋊Dic11—41no—
501C22⋊Dic11—41no—
502C22⋊Dic11—41no—
503C22⋊Dic11—41no—
504C22⋊Dic11—41no—
505(C2×D11)⋊C4—22no—
506(C2×D11)⋊C4—22no—
507(C2×D11)⋊C4—22no—
508(C2×D11)⋊C4—41no—
509(C2×D11)⋊C4—41no—
510(C2×D11)⋊C4—41no—
511(C2×D11)⋊C4—41no—
512(C2×D11)⋊C4—41no—
513(C2×D11)⋊C4—41no—
514(C2×D11)⋊C4—41no—
515(C2×D11)⋊C4—41no—
516(C2×D11)⋊C4—41no—
517(C2×D11)⋊C4—41no—
518(C2×D11)⋊C4—41no—
519(C2×D11)⋊C4—41no—
520(C2×D11)⋊C4—41no—
521(C2×D11)⋊C4—41no—
522(C2×D11)⋊C4—41no—
523C4⋊Dic11—41no—
524C4⋊Dic11—41no—
525C4⋊Dic11—41no—
526C4⋊Dic11—41no—
527C4⋊Dic11—41no—
528C4⋊Dic11—41no—
529C4⋊Dic11—41no—
530C4⋊Dic11—41no—
531C4⋊Dic11—41no—
532C4⋊Dic11—41no—
533Dic11⋊C4—22no—
534Dic11⋊C4—22no—
535Dic11⋊C4—22no—
536Dic11⋊C4—22no—
537Dic11⋊C4—22no—
538Dic11⋊C4—22no—
539Dic11⋊C4—41no—
540Dic11⋊C4—41no—
541Dic11⋊C4—41no—
542Dic11⋊C4—41no—
543Dic11⋊C4—41no—
544Dic11⋊C4—41no—
545Dic11⋊C4—41no—
546Dic11⋊C4—41no—
547Dic11⋊C4—41no—
548Dic11⋊C4—41no—
549C4×Dic11—22no—
550C4×Dic11—41no—
551C4×Dic11—41no—
552C4×Dic11—41no—
553C4×Dic11—41no—
554C4×Dic11—41no—
555C4×Dic11—41no—
556C4×Dic11—41no—
557C4×Dic11—41no—
558#2854—111no—
559#2853—111no—
560#2803—111no—
561#2803—111no—
562#2800—111no—
563#2800—111no—
564#2777—111no—
565#2773—111no—
566#2761—111no—
567#2756—111no—
568#2753—111no—
569#2753—111no—
570#2741—111no—
571#2740—111no—
572#2711—111no—
573#2707—111no—
574#2703—111no—
575#2699—111no—
576#2622D1111yescharacteristic, complemented
577#2617—111no—
578#2539—111no—
579#2534—111no—
580#2442—111no—
581#2425—111no—
582#2424—111no—
583#2419—111no—
584#2418—111no—
585#2416—111no—
586#2325—111no—
587#2318—111no—
588C2×#388—111no—
589C23×C11—21no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
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×C11—21no—
614C23×C11—44no—
615C23×C11—44no—
616C23×C11—44no—
617C23×C11—82no—
618C23×C11—82no—
619C23×C11—82no—
620C23×C11—82no—
621C23×C11C2×#4112yes—
622C23×C11H(5,𝔽2)12yes—
623C23×C11H(5,𝔽2)12yes—
624C23×C11C2511yescharacteristic
625C22×D11—21no—
626C22×D11—21no—
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—21no—
638C22×D11—21no—
639D4×C11—44no—
640D4×C11—82no—
641D4×C11—82no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
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—44no—
676C2×C4×C11—82no—
677C22⋊D11—44no—
678C22⋊D11—44no—
679C22⋊D11—82no—
680C22⋊D11—82no—
681C22⋊D11—82no—
682C22⋊D11—82no—
683C22⋊D11—82no—
684C22⋊D11—82no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
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—44no—
725C2×Dic11—44no—
726C2×Dic11—44no—
727C2×Dic11—82no—
728C2×Dic11—82no—
729C2×Dic11C2×#4112yes—
730C2×Dic11C2×#4112yes—
731C2×Dic11H(5,𝔽2)12yes—
732D44—82no—
733C4×D11—82no—
734C4×D11—82no—
735C2×#125—111no—
736C2×#123—111no—
737C2×#123—111no—
738C2×#123—111no—
739C2×#123—111no—
740C2×#121—111no—
741C2×#121—111no—
742C2×#121—111no—
743C2×#121—111no—
744C2×#121—111no—
745C2×#120—111no—
746C2×#120—111no—
747C2×#120C2×D1111yescharacteristic
748C2×C4×D4—111no—
749C2×C4×D4—111no—
750C2×C4×D4—111no—
751C22×C4⋊C4—111no—
752C22×C22⋊C4—111no—
753C22×C22⋊C4—111no—
754C22×C22⋊C4C2×D1111yescharacteristic
755C22×C42—111no—
756#400—111no—
757#400—111no—
758#400—111no—
759#399—111no—
760#399—111no—
761#399—111no—
762#398—111no—
763#398—111no—
764#398—111no—
765#398—111no—
766#397—111no—
767#397—111no—
768#397—111no—
769#397—111no—
770#397—111no—
771#397—111no—
772#397C2×D1111yescharacteristic
773#397C2×D1111yescharacteristic
774#397C2×D1111yescharacteristic
775#397C2×D1111yescharacteristic
776#396—111no—
777#396—111no—
778#396—111no—
779#396—111no—
780#396—111no—
781#396—111no—
782#394—111no—
783#394—111no—
784#394—111no—
785#394—111no—
786#394—111no—
787#394—111no—
788#394—111no—
789#394—111no—
790#394—111no—
791#394—111no—
792#394—111no—
793#394—111no—
794#394—111no—
795#394C2×D1111yescharacteristic
796#394C2×D1111yescharacteristic
797#394C2×D1111yescharacteristic
798#394C2×D1111yescharacteristic
799#392—111no—
800#392—111no—
801#392—111no—
802#392—111no—
803#392—111no—
804#390—111no—
805#390—111no—
806#390—111no—
807#390—111no—
808#390—111no—
809#390—111no—
810#390—111no—
811#390—111no—
812#389—111no—
813#389—111no—
814#389—111no—
815#389—111no—
816#389—111no—
817#389—111no—
818#388—111no—
819#388—111no—
820#388—111no—
821#388—111no—
822#388—111no—
823#388—111no—
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#388—111no—
844#387—111no—
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#387—111no—
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#386C2×D1111yescharacteristic
866#386C2×D1111yescharacteristic
867#385—111no—
868#385—111no—
869#385—111no—
870#385—111no—
871#385—111no—
872#385C2×D1111yescharacteristic
873#385C2×D1111yescharacteristic
874#383—111no—
875#382—111no—
876#382—111no—
877#381—111no—
878#381—111no—
879#381—111no—
880#380—111no—
881#380—111no—
882#380—111no—
883#380—111no—
884#380—111no—
885#380—111no—
886#379C2×D1111yescharacteristic
887C4×C22⋊C4—111no—
888C2×#95—111no—
889C2×#95—111no—
890C22×C11—22no—
891C22×C11—22no—
892C22×C11—22no—
893C22×C11—22no—
894C22×C11—22no—
895C22×C11—22no—
896C22×C11—41no—
897C22×C11—41no—
898C22×C11—41no—
899C22×C11—41no—
900C22×C11—41no—
901C22×C11—41no—
902C22×C11—41no—
903C22×C11—41no—
904C22×C11—41no—
905C22×C11—41no—
906C22×C11—41no—
907C22×C11—41no—
908C22×C11—41no—
909C22×C11—41no—
910C22×C11—41no—
911C22×C11—41no—
912C22×C11—41no—
913C22×C11—41no—
914C22×C11—41no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11—88no—
918C22×C11#54014yes—
919C22×C11C22×#4111yescharacteristic
920C22×C11C2×H(5,𝔽2)11yescharacteristic
921C22×C11C2×H(5,𝔽2)11yescharacteristic
922C22×C11C2×H(5,𝔽2)11yescharacteristic
923C22×C11#58511yescharacteristic
924C22×C11#58511yescharacteristic
925C22×C11#58511yescharacteristic
926C2×D11—41no—
927C2×D11—41no—
928C2×D11—41no—
929C2×D11—41no—
930C2×D11—41no—
931C2×D11—41no—
932C2×D11—41no—
933C2×D11—41no—
934C2×D11—41no—
935C2×D11—41no—
936C2×D11—41no—
937C2×D11—41no—
938C2×D11—41no—
939C2×D11—41no—
940C4×C11—41no—
941C4×C11—41no—
942C4×C11—41no—
943C4×C11—41no—
944C4×C11—41no—
945C4×C11—41no—
946C4×C11—41no—
947C4×C11—41no—
948C4×C11—41no—
949C4×C11—41no—
950C4×C11—41no—
951Dic11—22no—
952Dic11—22no—
953Dic11—22no—
954Dic11—41no—
955Dic11—41no—
956Dic11—41no—
957Dic11—41no—
958Dic11—41no—
959Dic11—41no—
960Dic11—41no—
961Dic11—41no—
962Dic11—41no—
963Dic11—41no—
964Dic11—41no—
965C25C22×D1111yescharacteristic
966C22×D4—111no—
967C22×D4—111no—
968C22×D4—111no—
969C22×D4—111no—
970C22×D4—111no—
971C22×D4—111no—
972C22×D4—111no—
973C22×D4—111no—
974C22×D4—111no—
975C22×D4C22×D1111yescharacteristic
976C22×D4C22×D1111yescharacteristic
977C22×D4C22×D1111yescharacteristic
978C23×C4—111no—
979C23×C4—111no—
980C23×C4—111no—
981C23×C4—111no—
982C23×C4—111no—
983C23×C4—111no—
984C23×C4—111no—
985C23×C4C22×D1111yescharacteristic
986C23×C4C22×D1111yescharacteristic
987#125—442no—
988#123—442no—
989#123—442no—
990#123—442no—
991#123—442no—
992#121—224no—
993#121—442no—
994#121—442no—
995#121—442no—
996#121—442no—
997#120—42no—
998#120—442no—
999#120—442no—
1000C4×D4—224no—
1001C4×D4—442no—
1002C4×D4—442no—
1003C2×C4⋊C4—111no—
1004C2×C4⋊C4—111no—
1005C2×C4⋊C4—111no—
1006C2×C4⋊C4—111no—
1007C2×C4⋊C4—111no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
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—442no—
1030C2×C4⋊C4C22×D1111yescharacteristic
1031C2×C4⋊C4C22×D1111yescharacteristic
1032C2×C4⋊C4C22×D1111yescharacteristic
1033C2×C4⋊C4C22×D1111yescharacteristic
1034C2×C22⋊C4—42no—
1035C2×C22⋊C4—111no—
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
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—224no—
1073C2×C22⋊C4—442no—
1074C2×C22⋊C4C22×D1111yescharacteristic
1075C2×C22⋊C4C22×D1111yescharacteristic
1076C2×C22⋊C4C22×D1111yescharacteristic
1077C2×C22⋊C4C22×D1111yescharacteristic
1078C2×C22⋊C4C22×D1111yescharacteristic
1079C2×C22⋊C4C22×D1111yescharacteristic
1080C2×C22⋊C4C22×D1111yescharacteristic
1081C2×C22⋊C4C22×D1111yescharacteristic
1082C2×C22⋊C4C22×D1111yescharacteristic
1083C2×C22⋊C4C22×D1111yescharacteristic
1084C2×C22⋊C4C22×D1111yescharacteristic
1085C2×C22⋊C4C22×D1111yescharacteristic
1086C2×C22⋊C4C22×D1111yescharacteristic
1087C2×C22⋊C4C22×D1111yescharacteristic
1088C2×C22⋊C4C22×D1111yescharacteristic
1089C2×C22⋊C4C22×D1111yescharacteristic
1090C2×C22⋊C4C22×D1111yescharacteristic
1091C2×C42—111no—
1092C2×C42—111no—
1093C2×C42—111no—
1094C2×C42—111no—
1095C2×C42—111no—
1096C2×C42—111no—
1097C2×C42—111no—
1098C2×C42—111no—
1099C2×C42—111no—
1100C2×C42—442no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
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#95C22×D1111yescharacteristic
1134#95C22×D1111yescharacteristic
1135#95C22×D1111yescharacteristic
1136#95C22×D1111yescharacteristic
1137#95C22×D1111yescharacteristic
1138#95C22×D1111yescharacteristic
1139#95C22×D1111yescharacteristic
1140#95C22×D1111yescharacteristic
1141C2×C11—24no—
1142C2×C11—81no—
1143C2×C11—81no—
1144C2×C11—81no—
1145C2×C11C2×#54011yescharacteristic
1146C2×C11#349311yescharacteristic
1147C2×C11#350511yescharacteristic
1148C2×C11#353311yescharacteristic
1149C2×C11#353411yescharacteristic
1150C2×C11#355811yescharacteristic
1151C2×C11#356011yescharacteristic
1152D11—81no—
1153D11—81no—
1154C24—22no—
1155C24—22no—
1156C24—22no—
1157C24—41no—
1158C24—41no—
1159C24—41no—
1160C24—41no—
1161C24—111no—
1162C24—111no—
1163C24C23×D1111yescharacteristic
1164C24C23×D1111yescharacteristic
1165C24C23×D1111yescharacteristic
1166C24C23×D1111yescharacteristic
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—222no—
1177C2×D4—222no—
1178C2×D4—222no—
1179C2×D4—222no—
1180C2×D4—222no—
1181C2×D4—222no—
1182C2×D4—222no—
1183C2×D4—222no—
1184C2×D4—441no—
1185C2×D4—441no—
1186C2×D4—441no—
1187C2×D4—441no—
1188C2×D4—441no—
1189C2×D4—441no—
1190C2×D4—441no—
1191C2×D4—441no—
1192C2×D4—441no—
1193C2×D4—441no—
1194C2×D4—441no—
1195C2×D4—441no—
1196C2×D4—441no—
1197C2×D4—441no—
1198C2×D4—441no—
1199C2×D4—441no—
1200C2×D4—441no—
1201C2×D4—441no—
1202C2×D4—441no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—111no—
1210C22×C4—111no—
1211C22×C4—111no—
1212C22×C4—114no—
1213C22×C4—111no—
1214C22×C4—111no—
1215C22×C4—111no—
1216C22×C4—111no—
1217C22×C4—111no—
1218C22×C4—111no—
1219C22×C4—111no—
1220C22×C4—111no—
1221C22×C4—111no—
1222C22×C4—111no—
1223C22×C4—111no—
1224C22×C4—222no—
1225C22×C4—222no—
1226C22×C4—222no—
1227C22×C4—222no—
1228C22×C4—222no—
1229C22×C4—222no—
1230C22×C4—222no—
1231C22×C4—441no—
1232C22×C4—441no—
1233C22×C4—441no—
1234C22×C4—441no—
1235C22×C4—441no—
1236C22×C4—441no—
1237C22×C4—441no—
1238C22×C4—441no—
1239C22×C4—441no—
1240C22×C4—441no—
1241C22×C4—441no—
1242C22×C4—441no—
1243C22×C4—441no—
1244C22×C4C23×D1111yescharacteristic
1245C22×C4C23×D1111yescharacteristic
1246C22×C4C23×D1111yescharacteristic
1247C22×C4C23×D1111yescharacteristic
1248C22×C4C23×D1111yescharacteristic
1249C22×C4C23×D1111yescharacteristic
1250C22×C4C23×D1111yescharacteristic
1251C22×C4C23×D1111yescharacteristic
1252C22×C4C23×D1111yescharacteristic
1253C22×C4C23×D1111yescharacteristic
1254C22×C4C23×D1111yescharacteristic
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—222no—
1260C4⋊C4—222no—
1261C4⋊C4—222no—
1262C4⋊C4—222no—
1263C4⋊C4—222no—
1264C4⋊C4—222no—
1265C4⋊C4—441no—
1266C4⋊C4—441no—
1267C4⋊C4—441no—
1268C4⋊C4—441no—
1269C4⋊C4—441no—
1270C4⋊C4—441no—
1271C4⋊C4—441no—
1272C4⋊C4—441no—
1273C4⋊C4—441no—
1274C4⋊C4—441no—
1275C4⋊C4—441no—
1276C4⋊C4—441no—
1277C4⋊C4—441no—
1278C4⋊C4—441no—
1279C4⋊C4—441no—
1280C4⋊C4—441no—
1281C4⋊C4—441no—
1282C4⋊C4—441no—
1283C4⋊C4—441no—
1284C4⋊C4—441no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—222no—
1303C22⋊C4—222no—
1304C22⋊C4—222no—
1305C22⋊C4—222no—
1306C22⋊C4—222no—
1307C22⋊C4—222no—
1308C22⋊C4—222no—
1309C22⋊C4—222no—
1310C22⋊C4—222no—
1311C22⋊C4—222no—
1312C22⋊C4—222no—
1313C22⋊C4—222no—
1314C22⋊C4—441no—
1315C22⋊C4—441no—
1316C22⋊C4—441no—
1317C22⋊C4—441no—
1318C22⋊C4—441no—
1319C22⋊C4—441no—
1320C22⋊C4—441no—
1321C22⋊C4—441no—
1322C22⋊C4—441no—
1323C22⋊C4—441no—
1324C22⋊C4—441no—
1325C22⋊C4—441no—
1326C22⋊C4—441no—
1327C22⋊C4—441no—
1328C22⋊C4—441no—
1329C22⋊C4—441no—
1330C22⋊C4—441no—
1331C22⋊C4—441no—
1332C22⋊C4—441no—
1333C22⋊C4—441no—
1334C22⋊C4—441no—
1335C22⋊C4—441no—
1336C22⋊C4—441no—
1337C22⋊C4—441no—
1338C22⋊C4—441no—
1339C42—222no—
1340C42—441no—
1341C42—441no—
1342C42—441no—
1343C42—441no—
1344C42—441no—
1345C42—441no—
1346C42—441no—
1347C42—441no—
1348C11#3698711yescharacteristic, complemented, Sylow
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—44no—
1375C23—44no—
1376C23—44no—
1377C23—82no—
1378C23—82no—
1379C23—82no—
1380C23—82no—
1381C23—221no—
1382C23—221no—
1383C23—221no—
1384C23—221no—
1385C23—221no—
1386C23—221no—
1387C23—221no—
1388C23—221no—
1389C23—221no—
1390C23—221no—
1391C23—221no—
1392C23—221no—
1393C23—221no—
1394C23—221no—
1395C23#6703712yes—
1396C23#41×D1112yes—
1397C23#6704212yes—
1398C23C24×D1111yescharacteristic
1399D4—44no—
1400D4—82no—
1401D4—82no—
1402D4—444no—
1403D4—444no—
1404D4—882no—
1405D4—882no—
1406D4—882no—
1407D4—882no—
1408D4—882no—
1409D4—882no—
1410D4—882no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
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—44no—
1445C2×C4—82no—
1446C2×C4—112no—
1447C2×C4—112no—
1448C2×C4—112no—
1449C2×C4—221no—
1450C2×C4—221no—
1451C2×C4—221no—
1452C2×C4—221no—
1453C2×C4—221no—
1454C2×C4—221no—
1455C2×C4—221no—
1456C2×C4—221no—
1457C2×C4—221no—
1458C2×C4—221no—
1459C2×C4—221no—
1460C2×C4—221no—
1461C2×C4—221no—
1462C2×C4—221no—
1463C2×C4—221no—
1464C2×C4—221no—
1465C2×C4—221no—
1466C2×C4—221no—
1467C2×C4—221no—
1468C2×C4—221no—
1469C2×C4—221no—
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—444no—
1489C2×C4—444no—
1490C2×C4—444no—
1491C2×C4—882no—
1492C2×C4—882no—
1493C2×C4—882no—
1494C2×C4—882no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—88no—
1523C22—441no—
1524C22—441no—
1525C22—441no—
1526C22—441no—
1527C22—441no—
1528C22—441no—
1529C22—441no—
1530C22—441no—
1531C22—441no—
1532C22—441no—
1533C22—441no—
1534C22—441no—
1535C22—441no—
1536C22—441no—
1537C22#1062319414yes—
1538C22C2×#6703711yescharacteristic
1539C22C2×#41×D1111yescharacteristic
1540C22C2×#6704211yescharacteristic
1541C22D11×H(5,𝔽2)11yescharacteristic
1542C22#1062345511yescharacteristic
1543C22#1062345511yescharacteristic
1544C22#1062345511yescharacteristic
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—222no—
1557C4—222no—
1558C4—222no—
1559C4—441no—
1560C4—441no—
1561C4—441no—
1562C4—441no—
1563C4—441no—
1564C4—441no—
1565C4—441no—
1566C4—441no—
1567C4—441no—
1568C4—441no—
1569C4—441no—
1570C2—24no—
1571C2—81no—
1572C2—81no—
1573C2—81no—
1574C2—881no—
1575C2—881no—
1576C2C2×#1062319411yescharacteristic
1577C2#1308233111yescharacteristic
1578C2#1308245411yescharacteristic
1579C2#1308277711yescharacteristic
1580C2#1308279611yescharacteristic
1581C2#1308313711yescharacteristic
1582C2#1308317011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2622C2
hypercenter#2622D11
hypocenterC11#36987
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2622

Complements

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

NH ≅ G/Ntype
1. #13076944C2semidirect
2. #13076941C2semidirect
3. #13076554C2semidirect
4. #13076548C2semidirect
5. #13076519C2semidirect
6. #13076518C2semidirect
7. #13076218C2semidirect
8. #13076152C2semidirect
9. #13076005C2semidirect
10. #13075937C2semidirect
11. #13075900C2semidirect
12. #13075886C2semidirect
13. #13075733C2semidirect
14. #13075709C2semidirect
15. #13075375C2semidirect
16. #13075321C2semidirect
17. #13075265C2semidirect
18. #13075204C2semidirect
19. #13074350C2semidirect
20. #13073544C2semidirect
21. #13073509C2semidirect
22. #13072339C2semidirect
23. #13072165C2semidirect
24. #13072156C2semidirect
25. #13072091C2semidirect
26. #13072082C2semidirect
27. #13072055C2semidirect
28. #13071317C2semidirect
29. #13071244C2semidirect
30. C2×#10622557C2semidirect
31. C11×#2622C2semidirect
46. C2×#66942C22semidirect
49. C2×#66937C22semidirect
78. #10622607C22semidirect
79. #10622604C22semidirect
80. #10622603C22semidirect
81. #10622603C22semidirect
82. #10622603C22semidirect
83. #10622600C22semidirect
84. #10622600C22semidirect
85. #10622598C22semidirect
86. #10622597C22semidirect
87. #10622594C22semidirect
88. #10622594C22semidirect
89. #10622593C22semidirect
90. #10622591C22semidirect
91. #10622590C22semidirect
92. #10622585C22semidirect
104. #10622572C22semidirect
107. #10622571C22semidirect
111. #10622570C22semidirect
112. #10622570C22semidirect
113. #10622570C22semidirect
117. #10622569C22semidirect
120. #10622566C22semidirect
121. #10622566C22semidirect
126. #10622564C22semidirect
127. #10622564C22semidirect
129. #10622563C22semidirect
136. #10622561C22semidirect
138. #10622559C22semidirect
141. #10622558C22semidirect
151. #10622556C22semidirect
155. #10622289C22semidirect
156. #10622287C22semidirect
157. #10622285C22semidirect
158. #10622283C22semidirect
159. #10622283C22semidirect
160. #10622282C22semidirect
161. #10622282C22semidirect
162. #10622282C22semidirect
163. #10622282C22semidirect
164. #10622282C22semidirect
165. #10622281C22semidirect
166. #10622280C22semidirect
167. #10622278C22semidirect
168. #10622277C22semidirect
169. #10622274C22semidirect
170. #10622274C22semidirect
171. #10622272C22semidirect
172. #10622272C22semidirect
173. #10622271C22semidirect
174. #10622268C22semidirect
175. #10622268C22semidirect
176. #10622268C22semidirect
177. #10622268C22semidirect
178. #10622266C22semidirect
179. #10622266C22semidirect
180. #10622265C22semidirect
181. #10622264C22semidirect
182. #10622263C22semidirect
183. #10622260C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
576. #2622D11semidirect
1348. C11#36987semidirect

Maximal subgroups

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

subgroupindex
#130769442
#130769412
#130765542
#130765482
#130765192
#130765182
#130762182
#130761522
#130760052
#130759372
#130759002
#130758862
#130757332
#130757092
#130753752
#130753212
#130752652
#130752042
#130743502
#130735442
#130735092
#130723392
#130721652
#130721562
#130720912
#130720822
#130720552
#130713172
#130712442
C2×#106225572
C11×#26222
#3698711