Finite Group Databasebeta

← #14918107

Subgroups — #14918107

Order 2816.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623146C211yesmaximal, characteristic
2#13071798C211yesmaximal, characteristic, complemented
3#13071768C211yesmaximal, characteristic, complemented
4#13071767C211yesmaximal, characteristic, complemented
5#13071766C211yesmaximal, characteristic, complemented
6#13071747C211yesmaximal, characteristic, complemented
7#13071719C211yesmaximal, characteristic, complemented
8#13071668C211yesmaximal, characteristic, complemented
9#13071661C211yesmaximal, characteristic, complemented
10#13071637C211yesmaximal, characteristic, complemented
11#13071614C211yesmaximal, characteristic, complemented
12#13071608C211yesmaximal, characteristic, complemented
13#13071550C211yesmaximal, characteristic, complemented
14#13071544C211yesmaximal, characteristic, complemented
15#13071498C211yesmaximal, characteristic, complemented
16#13071470C211yesmaximal, characteristic, complemented
17#13071404C211yesmaximal, characteristic, complemented
18#13071400C211yesmaximal, characteristic, complemented
19#13071376C211yesmaximal, characteristic, complemented
20#13071375C211yesmaximal, characteristic, complemented
21#13071340C211yesmaximal, characteristic, complemented
22#13071337C211yesmaximal, characteristic, complemented
23#13071317C211yesmaximal, characteristic, complemented
24#13071314C211yesmaximal, characteristic, complemented
25#13071302C211yesmaximal, characteristic, complemented
26#13071280C211yesmaximal, characteristic, complemented
27#13071243C211yesmaximal, characteristic, complemented
28C4×#66936C211yesmaximal, characteristic, complemented
29#13071128C211yesmaximal, characteristic, complemented
30#13071053C211yesmaximal, characteristic, complemented
31C11×#2363C211yesmaximal, characteristic, complemented
32C2×C11×#121C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×C11×#117C2211yescharacteristic
35C2×#66993C2211yescharacteristic
36C2×#66992C2211yescharacteristic
37C2×#66992C2211yescharacteristic
38C2×#66992C2211yescharacteristic
39C2×#66991C2211yescharacteristic
40C2×#66988C2211yescharacteristic
41C2×D4×Dic11C2211yescharacteristic
42C2×D4×Dic11C2211yescharacteristic
43C2×#66982C2211yescharacteristic
44C2×C4×C22⋊D11C2211yescharacteristic
45C2×C4×C22⋊D11C2211yescharacteristic
46#10623146C4116yescomplemented
47C2×#66947C2211yescharacteristic
48C2×#66946C2211yescharacteristic
49C2×C4⋊C4×D11C2211yescharacteristic
50C2×#66942C2211yescharacteristic
51C2×#66937C2211yescharacteristic
52C2×#66936C2211yescharacteristic
53C2×(C22⋊D11)⋊C4C2211yescharacteristic
54C2×(C22⋊D11)⋊C4C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic
57C2×#66930C2211yescharacteristic
58C2×#66930C2211yescharacteristic
59C2×C42×D11C2211yescharacteristic
60C11×#390C2211yescharacteristic
61C11×#390C2211yescharacteristic
62C11×#390C2211yescharacteristic
63C11×#389C2211yescharacteristic
64C11×#388C2211yescharacteristic
65C11×#388C2211yescharacteristic
66C11×#386C2211yescharacteristic
67C11×#386C2211yescharacteristic
68C4×C11×C4⋊C4C2211yescharacteristic
69C4×C11×C22⋊C4C2211yescharacteristic
70C4×C11×C22⋊C4C2211yescharacteristic
71C4×C11×C22⋊C4C2211yescharacteristic
72#10622833C2211yescharacteristic
73#10622833C2211yescharacteristic
74#10622833C2211yescharacteristic
75#10622833C2211yescharacteristic
76#10622826C2211yescharacteristic
77#10622826C2211yescharacteristic
78#10622826C2211yescharacteristic
79#10622823C2211yescharacteristic
80C4×C22⋊Dic11C2211yescharacteristic
81C4×C22⋊Dic11C2211yescharacteristic
82C2×C11⋊#95C2211yescharacteristic
83C2×C11⋊#95C2211yescharacteristic
84C2×C11⋊#95C2211yescharacteristic
85#10622603C2211yescharacteristic
86#10622603C2211yescharacteristic
87#10622602C2211yescharacteristic
88#10622602C2211yescharacteristic
89#10622602C2211yescharacteristic
90#10622594C2211yescharacteristic
91#10622594C2211yescharacteristic
92#10622591C2211yescharacteristic
93#10622591C2211yescharacteristic
94#10622591C2211yescharacteristic
95#10622591C2211yescharacteristic
96#10622590C2211yescharacteristic
97#10622586C2211yescharacteristic
98#10622585C2211yescharacteristic
99#10622585C2211yescharacteristic
100#10622585C2211yescharacteristic
101#10622571C2211yescharacteristic
102#10622571C2211yescharacteristic
103#10622571C2211yescharacteristic
104#10622571C2211yescharacteristic
105#10622571C2211yescharacteristic
106#10622570C2211yescharacteristic
107#10622570C2211yescharacteristic
108#10622570C2211yescharacteristic
109#10622570C2211yescharacteristic
110#10622569C2211yescharacteristic
111#10622569C2211yescharacteristic
112#10622569C2211yescharacteristic
113#10622569C2211yescharacteristic
114#10622569C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622569C2211yescharacteristic
117#10622569C2211yescharacteristic
118#10622564C2211yescharacteristic
119#10622564C2211yescharacteristic
120#10622559C2211yescharacteristic
121#10622559C2211yescharacteristic
122#10622559C2211yescharacteristic
123#10622559C2211yescharacteristic
124#10622559C2211yescharacteristic
125#10622558C2211yescharacteristic
126#10622558C2211yescharacteristic
127#10622558C2211yescharacteristic
128#10622558C2211yescharacteristic
129#10622557C2211yescharacteristic
130#10622557C2211yescharacteristic
131#10622557C2211yescharacteristic
132#10622557C2211yescharacteristic
133#10622556C2211yescharacteristic
134#10622555C2211yescharacteristic
135#10622555C2211yescharacteristic
136#10622555C2211yescharacteristic
137C22⋊C4×Dic11C2211yescharacteristic
138C22⋊C4×Dic11C2211yescharacteristic
139C22⋊C4×Dic11C2211yescharacteristic
140C22⋊C4×Dic11C2211yescharacteristic
141#10622553C2211yescharacteristic
142#10622553C2211yescharacteristic
143#10622553C2211yescharacteristic
144#10622553C2211yescharacteristic
145#10622552C2211yescharacteristic
146C4×(C2×D11)⋊C4C2211yescharacteristic
147C4×(C2×D11)⋊C4C2211yescharacteristic
148C4×(C2×D11)⋊C4C2211yescharacteristic
149C4×(C2×D11)⋊C4C2211yescharacteristic
150C4×(C2×D11)⋊C4C2211yescharacteristic
151C4×C4⋊Dic11C2211yescharacteristic
152#10622546C2211yescharacteristic
153#10622546C2211yescharacteristic
154#10622546C2211yescharacteristic
155#10622546C2211yescharacteristic
156#10622546C2211yescharacteristic
157#10622546C2211yescharacteristic
158#10622546C2211yescharacteristic
159#10622545C2211yescharacteristic
160#10622545C2211yescharacteristic
161C4×Dic11⋊C4C2211yescharacteristic
162C4×Dic11⋊C4C2211yescharacteristic
163C4×Dic11⋊C4C2211yescharacteristic
164#10622282C2211yescharacteristic
165#10622282C2211yescharacteristic
166#10622281C2211yescharacteristic
167#10622280C2211yescharacteristic
168#10622280C2211yescharacteristic
169#10622279C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622277C2211yescharacteristic
173#10622277C2211yescharacteristic
174#10622268C2211yescharacteristic
175#10622268C2211yescharacteristic
176#10622267C2211yescharacteristic
177#10622266C2211yescharacteristic
178#10622265C2211yescharacteristic
179#10622265C2211yescharacteristic
180#10622265C2211yescharacteristic
181#10622264C2211yescharacteristic
182#10622263C2211yescharacteristic
183#10622263C2211yescharacteristic
184#10622262C2211yescharacteristic
185#10622262C2211yescharacteristic
186#10622261C2211yescharacteristic
187#10622260C2211yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C11×#121C2×C418yescomplemented
214C4×D4×C11—42no—
215C11×#117—42no—
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊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
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C42×C11C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C42×C11C2311yescharacteristic
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
251#66993C2×C418yescomplemented
252#66992C2×C418yescomplemented
253#66992C2×C418yescomplemented
254#66992C2×C418yescomplemented
255#66991C2×C418yescomplemented
256#66988C2×C418yescomplemented
257D4×Dic11—42no—
258D4×Dic11—42no—
259#66982C2×C418yescomplemented
260C4×C22⋊D11—42no—
261C4×C22⋊D11C2×C418yescomplemented
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313#66947C2×C418yescomplemented
314#66946—42no—
315C4⋊C4×D11—42no—
316#66942C2×C418yescomplemented
317#66937C2×C418yescomplemented
318#66936C2×C418yescomplemented
319(C22⋊D11)⋊C4—42no—
320(C22⋊D11)⋊C4—42no—
321(C22⋊D11)⋊C4—42no—
322(C22⋊D11)⋊C4C2×C418yescomplemented
323#66930—42no—
324#66930C2×C418yescomplemented
325C42×D11—42no—
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
369C11⋊#95C2311yescharacteristic
370#34450—111nomaximal, Sylow
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C23×D11C2411yescharacteristic
375C23×D11C2411yescharacteristic
376C2×D4×C11—41no—
377C2×D4×C11—41no—
378C2×D4×C11—41no—
379C2×D4×C11—41no—
380C2×D4×C11—41no—
381C2×D4×C11—41no—
382C2×D4×C11C22×C414yes—
383C2×D4×C11C22×C414yes—
384C2×D4×C11C22×C414yes—
385C22×C4×C11—22no—
386C22×C4×C11—41no—
387C22×C4×C11—41no—
388C22×C4×C11—41no—
389C22×C4×C11—41no—
390C22×C4×C11—41no—
391C22×C4×C11—41no—
392C22×C4×C11—41no—
393C22×C4×C11C22×C414yes—
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
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C2×C22⋊D11—41no—
407C2×C22⋊D11—41no—
408C2×C22⋊D11—41no—
409C2×C22⋊D11—41no—
410C2×C22⋊D11—41no—
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⋊D11C22×C414yes—
419C2×C22⋊D11C22×C414yes—
420C2×C22⋊D11C22×C414yes—
421C2×C22⋊D11C22×C414yes—
422C2×C22⋊D11C22×C414yes—
423C2×C22⋊D11C22×C414yes—
424C22×Dic11—22no—
425C22×Dic11—41no—
426C22×Dic11—41no—
427C22×Dic11—41no—
428C22×Dic11—41no—
429C22×Dic11—41no—
430C22×Dic11—41no—
431C22×Dic11—41no—
432C22×Dic11—41no—
433C22×Dic11—41no—
434C22×Dic11—41no—
435C22×Dic11—41no—
436C22×Dic11—41no—
437C22×Dic11—41no—
438C22×Dic11—41no—
439C22×Dic11—41no—
440C22×Dic11C22×C414yes—
441C22×Dic11C22×C414yes—
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×D44C22×C414yes—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—41no—
463C2×C4×D11—41no—
464C2×C4×D11—41no—
465C2×C4×D11—41no—
466C2×C4×D11—41no—
467C2×C4×D11—41no—
468C2×C4×D11—41no—
469C2×C4×D11—41no—
470C2×C4×D11—41no—
471C2×C4×D11—41no—
472C2×C4×D11—41no—
473C2×C4×D11—41no—
474C2×C4×D11—41no—
475C2×C4×D11C22×C414yes—
476C2×C4×D11C22×C414yes—
477C11×C4⋊C4—22no—
478C11×C4⋊C4—41no—
479C11×C4⋊C4—41no—
480C11×C4⋊C4—41no—
481C11×C4⋊C4C22×C414yes—
482C11×C22⋊C4—22no—
483C11×C22⋊C4—22no—
484C11×C22⋊C4—41no—
485C11×C22⋊C4—41no—
486C11×C22⋊C4—41no—
487C11×C22⋊C4—41no—
488C11×C22⋊C4—41no—
489C11×C22⋊C4—41no—
490C11×C22⋊C4—41no—
491C11×C22⋊C4—41no—
492C11×C22⋊C4C22×C414yes—
493C11×C22⋊C4C22×C414yes—
494C42×C11—22no—
495C42×C11—41no—
496C42×C11—41no—
497C42×C11—41no—
498C42×C11—41no—
499C42×C11—41no—
500C22⋊Dic11—22no—
501C22⋊Dic11—22no—
502C22⋊Dic11—41no—
503C22⋊Dic11—41no—
504C22⋊Dic11—41no—
505C22⋊Dic11—41no—
506C22⋊Dic11—41no—
507C22⋊Dic11—41no—
508C22⋊Dic11C22×C414yes—
509C22⋊Dic11C22×C414yes—
510C22⋊Dic11C22×C414yes—
511C22⋊Dic11C22×C414yes—
512(C2×D11)⋊C4—22no—
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—
523(C2×D11)⋊C4—41no—
524(C2×D11)⋊C4C22×C414yes—
525(C2×D11)⋊C4C22×C414yes—
526(C2×D11)⋊C4C22×C414yes—
527(C2×D11)⋊C4C22×C414yes—
528C4⋊Dic11—22no—
529C4⋊Dic11—41no—
530C4⋊Dic11C22×C414yes—
531Dic11⋊C4—22no—
532Dic11⋊C4—41no—
533Dic11⋊C4—41no—
534Dic11⋊C4—41no—
535Dic11⋊C4—41no—
536Dic11⋊C4—41no—
537Dic11⋊C4—41no—
538Dic11⋊C4—41no—
539Dic11⋊C4—41no—
540Dic11⋊C4—41no—
541Dic11⋊C4—41no—
542Dic11⋊C4—41no—
543Dic11⋊C4C22×C414yes—
544Dic11⋊C4C22×C414yes—
545Dic11⋊C4C22×C414yes—
546Dic11⋊C4C22×C414yes—
547Dic11⋊C4C22×C414yes—
548Dic11⋊C4C22×C414yes—
549C4×Dic11—22no—
550C4×Dic11—22no—
551C4×Dic11—22no—
552C4×Dic11—22no—
553C4×Dic11—41no—
554C4×Dic11—41no—
555C4×Dic11—41no—
556C4×Dic11—41no—
557C4×Dic11—41no—
558C4×Dic11—41no—
559C4×Dic11—41no—
560C4×Dic11—41no—
561C4×Dic11C22×C414yes—
562C4×Dic11C22×C414yes—
563C2×#540—111no—
564#2382—111no—
565#2377—111no—
566#2377—111no—
567#2376—111no—
568#2374—111no—
569#2371—111no—
570#2364—111no—
571#2364—111no—
572#2363D1111yescharacteristic, complemented
573#2361—111no—
574#2359—111no—
575#2359—111no—
576#2353—111no—
577#2352—111no—
578#2346—111no—
579#2343—111no—
580#2335—111no—
581#2335—111no—
582#2333—111no—
583#2333—111no—
584#2328—111no—
585#2328—111no—
586#2325—111no—
587#2325—111no—
588#2324—111no—
589#2322—111no—
590#2318—111no—
591C4×#123—111no—
592C4×#121—111no—
593#2290—111no—
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×C11C23×C412yes—
613C23×C11C23×C412yes—
614C23×C11C23×C412yes—
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×D11C23×C412yes—
629C22×D11C23×C412yes—
630D4×C11—44no—
631D4×C11—44no—
632D4×C11—44no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
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—44no—
665C2×C4×C11—82no—
666C2×C4×C11—82no—
667C2×C4×C11C23×C412yes—
668C2×C4×C11C23×C412yes—
669C2×C4×C11C23×C412yes—
670C2×C4×C11C23×C412yes—
671C2×C4×C11H(5,𝔽2)12yes—
672C22⋊D11—44no—
673C22⋊D11—44no—
674C22⋊D11—44no—
675C22⋊D11—44no—
676C22⋊D11—44no—
677C22⋊D11—44no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
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—44no—
714C2×Dic11—44no—
715C2×Dic11—82no—
716C2×Dic11—82no—
717C2×Dic11—82no—
718C2×Dic11—82no—
719C2×Dic11C23×C412yes—
720C2×Dic11C23×C412yes—
721C2×Dic11C23×C412yes—
722C2×Dic11C23×C412yes—
723C2×Dic11C23×C412yes—
724C2×Dic11C23×C412yes—
725C2×Dic11H(5,𝔽2)12yes—
726D44—44no—
727C4×D11—44no—
728C4×D11—44no—
729C4×D11—44no—
730C4×D11—44no—
731C4×D11—82no—
732C4×D11—82no—
733#540—1116no—
734C2×#127—111no—
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×#121C2×D1111yescharacteristic
746C2×C4×D4—111no—
747C2×C4×D4—111no—
748C2×C4×D4—111no—
749C2×C4×D4—111no—
750C2×C4×D4—111no—
751C2×C4×D4—111no—
752C2×C4×D4—111no—
753C2×C4×D4—111no—
754C2×C4×D4—111no—
755C2×C4×D4C2×D1111yescharacteristic
756C2×#117—111no—
757C2×#117—111no—
758C2×#117C2×D1111yescharacteristic
759C22×C4⋊C4—111no—
760C22×C42—111no—
761#390—111no—
762#390—111no—
763#390—111no—
764#390—111no—
765#390—111no—
766#390C2×D1111yescharacteristic
767#390C2×D1111yescharacteristic
768#390C2×D1111yescharacteristic
769#389—111no—
770#389—111no—
771#389—111no—
772#389—111no—
773#389—111no—
774#389C2×D1111yescharacteristic
775#388—111no—
776#388—111no—
777#388—111no—
778#388—111no—
779#388—111no—
780#388—111no—
781#388—111no—
782#388—111no—
783#388—111no—
784#388—111no—
785#388—111no—
786#388—111no—
787#388—111no—
788#388—111no—
789#388—111no—
790#388—111no—
791#388—111no—
792#388—111no—
793#388C2×D1111yescharacteristic
794#388C2×D1111yescharacteristic
795#387—111no—
796#387—111no—
797#387—111no—
798#387—111no—
799#387—111no—
800#387—111no—
801#387—111no—
802#387—111no—
803#387—111no—
804#387—111no—
805#387—111no—
806#387—111no—
807#387—111no—
808#387—111no—
809#387—111no—
810#387—111no—
811#387—111no—
812#387—111no—
813#387—111no—
814#387—111no—
815#386—111no—
816#386—111no—
817#386—111no—
818#386—111no—
819#386—111no—
820#386—111no—
821#386—111no—
822#386—111no—
823#386—111no—
824#386—111no—
825#386—111no—
826#386—111no—
827#386—111no—
828#386—111no—
829#386—111no—
830#386—111no—
831#386—111no—
832#386—111no—
833#386—111no—
834#386—111no—
835#386—111no—
836#386—111no—
837#386C2×D1111yescharacteristic
838#386C2×D1111yescharacteristic
839#385—111no—
840#385—111no—
841#385—111no—
842#385—111no—
843#385—111no—
844#385—111no—
845#385—111no—
846#385—111no—
847#385—111no—
848#385—111no—
849#383—111no—
850#382—111no—
851#382—111no—
852#382—111no—
853#381—111no—
854#381—111no—
855#381—111no—
856#380—111no—
857#380—111no—
858#380—111no—
859#380—111no—
860#380—111no—
861C4×C4⋊C4—111no—
862C4×C4⋊C4—111no—
863C4×C4⋊C4—111no—
864C4×C4⋊C4—111no—
865C4×C4⋊C4—111no—
866C4×C4⋊C4—111no—
867C4×C4⋊C4C2×D1111yescharacteristic
868C4×C22⋊C4—111no—
869C4×C22⋊C4—111no—
870C4×C22⋊C4—111no—
871C4×C22⋊C4—111no—
872C4×C22⋊C4—111no—
873C4×C22⋊C4—111no—
874C4×C22⋊C4—111no—
875C4×C22⋊C4—111no—
876C4×C22⋊C4—111no—
877C4×C22⋊C4—111no—
878C4×C22⋊C4—111no—
879C4×C22⋊C4—111no—
880C4×C22⋊C4C2×D1111yescharacteristic
881C4×C22⋊C4C2×D1111yescharacteristic
882C4×C22⋊C4C2×D1111yescharacteristic
883#376—111no—
884#376—111no—
885#376—111no—
886C2×#95—111no—
887C2×#95—111no—
888C2×#95—111no—
889C22×C11—22no—
890C22×C11—22no—
891C22×C11—22no—
892C22×C11—22no—
893C22×C11—22no—
894C22×C11—22no—
895C22×C11—22no—
896C22×C11—22no—
897C22×C11—22no—
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×C11C24×C411yescharacteristic
911C22×C11C2×H(5,𝔽2)11yescharacteristic
912C22×C11C2×H(5,𝔽2)11yescharacteristic
913C22×C11#58511yescharacteristic
914C22×C11#58511yescharacteristic
915C22×C11#58511yescharacteristic
916C22×C11#58511yescharacteristic
917C2×D11—22no—
918C2×D11—22no—
919C2×D11—22no—
920C2×D11—22no—
921C2×D11—22no—
922C2×D11—22no—
923C2×D11—41no—
924C2×D11—41no—
925C2×D11—41no—
926C2×D11—41no—
927C2×D11—41no—
928C2×D11—41no—
929C2×D11—41no—
930C2×D11—41no—
931C4×C11—22no—
932C4×C11—22no—
933C4×C11—22no—
934C4×C11—22no—
935C4×C11—22no—
936C4×C11—41no—
937C4×C11—41no—
938C4×C11—41no—
939C4×C11—41no—
940C4×C11—41no—
941C4×C11—41no—
942C4×C11—41no—
943Dic11—22no—
944Dic11—22no—
945Dic11—22no—
946Dic11—22no—
947Dic11—22no—
948Dic11—22no—
949Dic11—22no—
950Dic11—41no—
951Dic11—41no—
952Dic11—41no—
953Dic11—41no—
954Dic11—41no—
955Dic11—41no—
956Dic11—41no—
957C22×D4—111no—
958C22×D4—111no—
959C22×D4—111no—
960C22×D4—111no—
961C22×D4—111no—
962C22×D4—111no—
963C22×D4—111no—
964C22×D4C22×D1111yescharacteristic
965C22×D4C22×D1111yescharacteristic
966C22×D4C22×D1111yescharacteristic
967C23×C4—111no—
968C23×C4—111no—
969C23×C4—111no—
970C23×C4—111no—
971C23×C4—111no—
972C23×C4—111no—
973C23×C4—111no—
974C23×C4—111no—
975C23×C4—111no—
976C23×C4—111no—
977C23×C4—111no—
978C23×C4—111no—
979C23×C4C22×D1111yescharacteristic
980C23×C4C22×D1111yescharacteristic
981C23×C4C22×D1111yescharacteristic
982#127—118no—
983#125—118no—
984#123—118no—
985#123—118no—
986#123—118no—
987#123—118no—
988#121—118no—
989#121—118no—
990#121—118no—
991#121—118no—
992#121—118no—
993#121C4×D1118yescomplemented
994C4×D4—42no—
995C4×D4—118no—
996C4×D4—118no—
997C4×D4—442no—
998C4×D4—442no—
999C4×D4—442no—
1000C4×D4—442no—
1001C4×D4—442no—
1002C4×D4—442no—
1003C4×D4—442no—
1004#117—42no—
1005#117—118no—
1006#117—442no—
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—442no—
1029C2×C4⋊C4C22×D1111yescharacteristic
1030C2×C4⋊C4C22×D1111yescharacteristic
1031C2×C4⋊C4C22×D1111yescharacteristic
1032C2×C4⋊C4C22×D1111yescharacteristic
1033C2×C4⋊C4C22×D1111yescharacteristic
1034C2×C22⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
1063C2×C22⋊C4C22×D1111yescharacteristic
1064C2×C22⋊C4C22×D1111yescharacteristic
1065C2×C22⋊C4C22×D1111yescharacteristic
1066C2×C22⋊C4C22×D1111yescharacteristic
1067C2×C22⋊C4C22×D1111yescharacteristic
1068C2×C22⋊C4C22×D1111yescharacteristic
1069C2×C22⋊C4C22×D1111yescharacteristic
1070C2×C22⋊C4C22×D1111yescharacteristic
1071C2×C22⋊C4C22×D1111yescharacteristic
1072C2×C22⋊C4C22×D1111yescharacteristic
1073C2×C22⋊C4C22×D1111yescharacteristic
1074C2×C42—111no—
1075C2×C42—111no—
1076C2×C42—111no—
1077C2×C42—111no—
1078C2×C42—111no—
1079C2×C42—111no—
1080C2×C42—111no—
1081C2×C42—111no—
1082C2×C42—111no—
1083C2×C42—111no—
1084C2×C42—111no—
1085C2×C42—111no—
1086C2×C42—111no—
1087C2×C42—111no—
1088C2×C42—442no—
1089C2×C42C22×D1111yescharacteristic
1090C2×C42C22×D1111yescharacteristic
1091C2×C42C22×D1111yescharacteristic
1092C2×C42C22×D1111yescharacteristic
1093C2×C42C22×D1111yescharacteristic
1094C2×C42C22×D1111yescharacteristic
1095#95—111no—
1096#95—111no—
1097#95—111no—
1098#95—111no—
1099#95—111no—
1100#95—111no—
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
1139C2×C11—42no—
1140C2×C11—42no—
1141C2×C11—42no—
1142C2×C11#342811yescharacteristic
1143C2×C11C4×H(5,𝔽2)11yescharacteristic
1144C2×C11C4×H(5,𝔽2)11yescharacteristic
1145C2×C11#353311yescharacteristic
1146C2×C11#354211yescharacteristic
1147C2×C11#355111yescharacteristic
1148C2×C11#356711yescharacteristic
1149D11—42no—
1150D11—42no—
1151C24—111no—
1152C24—111no—
1153C24C23×D1111yescharacteristic
1154C24C23×D1111yescharacteristic
1155C24C23×D1111yescharacteristic
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—114no—
1163C2×D4—114no—
1164C2×D4—114no—
1165C2×D4—114no—
1166C2×D4—114no—
1167C2×D4—114no—
1168C2×D4—114no—
1169C2×D4—441no—
1170C2×D4—441no—
1171C2×D4—441no—
1172C2×D4—441no—
1173C2×D4—441no—
1174C2×D4—441no—
1175C2×D4—441no—
1176C2×D4—441no—
1177C2×D4—441no—
1178C2×D4—441no—
1179C2×D4—441no—
1180C2×D4—441no—
1181C2×D4—441no—
1182C2×D4—441no—
1183C2×D4C2×C4×D1114yes—
1184C2×D4C2×C4×D1114yes—
1185C2×D4C2×C4×D1114yes—
1186C22×C4—22no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—111no—
1195C22×C4—111no—
1196C22×C4—111no—
1197C22×C4—111no—
1198C22×C4—111no—
1199C22×C4—111no—
1200C22×C4—111no—
1201C22×C4—114no—
1202C22×C4—114no—
1203C22×C4—114no—
1204C22×C4—114no—
1205C22×C4—111no—
1206C22×C4—111no—
1207C22×C4—111no—
1208C22×C4—111no—
1209C22×C4—111no—
1210C22×C4—111no—
1211C22×C4—111no—
1212C22×C4—222no—
1213C22×C4—222no—
1214C22×C4—222no—
1215C22×C4—222no—
1216C22×C4—441no—
1217C22×C4—441no—
1218C22×C4—441no—
1219C22×C4—441no—
1220C22×C4—441no—
1221C22×C4—441no—
1222C22×C4—441no—
1223C22×C4—441no—
1224C22×C4—441no—
1225C22×C4—441no—
1226C22×C4—441no—
1227C22×C4—441no—
1228C22×C4—441no—
1229C22×C4—441no—
1230C22×C4—441no—
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×C4C2×C4×D1114yes—
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
1255C22×C4C23×D1111yescharacteristic
1256C22×C4C23×D1111yescharacteristic
1257C4⋊C4—22no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—114no—
1262C4⋊C4—114no—
1263C4⋊C4—114no—
1264C4⋊C4—114no—
1265C4⋊C4—114no—
1266C4⋊C4—114no—
1267C4⋊C4—114no—
1268C4⋊C4—222no—
1269C4⋊C4—222no—
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⋊C4C2×C4×D1114yes—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—114no—
1294C22⋊C4—114no—
1295C22⋊C4—114no—
1296C22⋊C4—114no—
1297C22⋊C4—114no—
1298C22⋊C4—114no—
1299C22⋊C4—114no—
1300C22⋊C4—114no—
1301C22⋊C4—222no—
1302C22⋊C4—222no—
1303C22⋊C4—222no—
1304C22⋊C4—441no—
1305C22⋊C4—441no—
1306C22⋊C4—441no—
1307C22⋊C4—441no—
1308C22⋊C4—441no—
1309C22⋊C4—441no—
1310C22⋊C4—441no—
1311C22⋊C4—441no—
1312C22⋊C4—441no—
1313C22⋊C4—441no—
1314C22⋊C4—441no—
1315C22⋊C4—441no—
1316C22⋊C4—441no—
1317C22⋊C4—441no—
1318C22⋊C4—441no—
1319C22⋊C4—441no—
1320C22⋊C4—441no—
1321C22⋊C4C2×C4×D1114yes—
1322C22⋊C4C2×C4×D1114yes—
1323C42—22no—
1324C42—41no—
1325C42—41no—
1326C42—41no—
1327C42—41no—
1328C42—41no—
1329C42—114no—
1330C42—114no—
1331C42—222no—
1332C42—222no—
1333C42—222no—
1334C42—222no—
1335C42—441no—
1336C42—441no—
1337C42—441no—
1338C42—441no—
1339C42—441no—
1340C42—441no—
1341C42—441no—
1342C42—441no—
1343C11#3445011yescharacteristic, complemented, Sylow
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
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—112no—
1363C23—112no—
1364C23—221no—
1365C23—221no—
1366C23—221no—
1367C23—221no—
1368C23—221no—
1369C23—221no—
1370C23—221no—
1371C23—221no—
1372C23—221no—
1373C23—221no—
1374C23—221no—
1375C23—221no—
1376C23C22×C4×D1112yes—
1377C23C22×C4×D1112yes—
1378C23C22×C4×D1112yes—
1379C23C24×D1111yescharacteristic
1380D4—44no—
1381D4—44no—
1382D4—44no—
1383D4—444no—
1384D4—444no—
1385D4—444no—
1386D4—444no—
1387D4—444no—
1388D4—444no—
1389D4—444no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
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—44no—
1422C2×C4—82no—
1423C2×C4—82no—
1424C2×C4—112no—
1425C2×C4—112no—
1426C2×C4—112no—
1427C2×C4—112no—
1428C2×C4—112no—
1429C2×C4—112no—
1430C2×C4—112no—
1431C2×C4—221no—
1432C2×C4—221no—
1433C2×C4—221no—
1434C2×C4—221no—
1435C2×C4—221no—
1436C2×C4—221no—
1437C2×C4—221no—
1438C2×C4—221no—
1439C2×C4—221no—
1440C2×C4—221no—
1441C2×C4—221no—
1442C2×C4—221no—
1443C2×C4—221no—
1444C2×C4—221no—
1445C2×C4—221no—
1446C2×C4—221no—
1447C2×C4—221no—
1448C2×C4—221no—
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—444no—
1467C2×C4—444no—
1468C2×C4—444no—
1469C2×C4—444no—
1470C2×C4—444no—
1471C2×C4—444no—
1472C2×C4—882no—
1473C2×C4—882no—
1474C2×C4—882no—
1475C2×C4—882no—
1476C2×C4—882no—
1477C2×C4—882no—
1478C2×C4C22×C4×D1112yes—
1479C2×C4C22×C4×D1112yes—
1480C2×C4C22×C4×D1112yes—
1481C2×C4C22×C4×D1112yes—
1482C2×C4#6703712yes—
1483C22—22no—
1484C22—22no—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—222no—
1505C22—222no—
1506C22—222no—
1507C22—222no—
1508C22—222no—
1509C22—222no—
1510C22—441no—
1511C22—441no—
1512C22—441no—
1513C22—441no—
1514C22—441no—
1515C22—441no—
1516C22—441no—
1517C22—441no—
1518C22C23×C4×D1111yescharacteristic
1519C22C2×#6703711yescharacteristic
1520C22#1062345311yescharacteristic
1521C22#1062345311yescharacteristic
1522C22#1062345311yescharacteristic
1523C22D11×H(5,𝔽2)11yescharacteristic
1524C22#1062345511yescharacteristic
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—22no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4—41no—
1537C4—222no—
1538C4—222no—
1539C4—222no—
1540C4—222no—
1541C4—222no—
1542C4—222no—
1543C4—222no—
1544C4—441no—
1545C4—441no—
1546C4—441no—
1547C4—441no—
1548C4—441no—
1549C4—441no—
1550C4—441no—
1551C2—42no—
1552C2—42no—
1553C2—42no—
1554C2—442no—
1555C2—442no—
1556C2#1308181511yescharacteristic
1557C2#1308182011yescharacteristic
1558C2C4×#6703711yescharacteristic
1559C2#1308277511yescharacteristic
1560C2#1308292211yescharacteristic
1561C2#1308303111yescharacteristic
1562C2#1308330011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2363C2
socle, cosocleC23×C11C25
prime radicalC2×#10623146C2
hypercenter#2363D11
hypocenterC11#34450
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2363

Complements

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

NH ≅ G/Ntype
2. #13071798C2semidirect
3. #13071768C2semidirect
4. #13071767C2semidirect
5. #13071766C2semidirect
6. #13071747C2semidirect
7. #13071719C2semidirect
8. #13071668C2semidirect
9. #13071661C2semidirect
10. #13071637C2semidirect
11. #13071614C2semidirect
12. #13071608C2semidirect
13. #13071550C2semidirect
14. #13071544C2semidirect
15. #13071498C2semidirect
16. #13071470C2semidirect
17. #13071404C2semidirect
18. #13071400C2semidirect
19. #13071376C2semidirect
20. #13071375C2semidirect
21. #13071340C2semidirect
22. #13071337C2semidirect
23. #13071317C2semidirect
24. #13071314C2semidirect
25. #13071302C2semidirect
26. #13071280C2semidirect
27. #13071243C2semidirect
28. C4×#66936C2semidirect
29. #13071128C2semidirect
30. #13071053C2semidirect
31. C11×#2363C2semidirect
46. #10623146C4semidirect
213. C11×#121C2×C4semidirect
251. #66993C2×C4semidirect
252. #66992C2×C4semidirect
253. #66992C2×C4semidirect
254. #66992C2×C4semidirect
255. #66991C2×C4semidirect
256. #66988C2×C4semidirect
259. #66982C2×C4semidirect
261. C4×C22⋊D11C2×C4semidirect
313. #66947C2×C4semidirect
316. #66942C2×C4semidirect
317. #66937C2×C4semidirect
318. #66936C2×C4semidirect
322. (C22⋊D11)⋊C4C2×C4semidirect
324. #66930C2×C4semidirect
572. #2363D11semidirect
993. #121C4×D11semidirect
1343. C11#34450semidirect

Maximal subgroups

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

subgroupindex
C2×#106231462
#130717982
#130717682
#130717672
#130717662
#130717472
#130717192
#130716682
#130716612
#130716372
#130716142
#130716082
#130715502
#130715442
#130714982
#130714702
#130714042
#130714002
#130713762
#130713752
#130713402
#130713372
#130713172
#130713142
#130713022
#130712802
#130712432
C4×#669362
#130711282
#130710532
C11×#23632
#3445011