Finite Group Databasebeta

← #14918230

Subgroups — #14918230

Order 2816.

2306 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623144C211yesmaximal, characteristic
2#13071789C211yesmaximal, characteristic, complemented
3#13071778C211yesmaximal, characteristic, complemented
4#13071773C211yesmaximal, characteristic, complemented
5#13071754C211yesmaximal, characteristic, complemented
6#13071751C211yesmaximal, characteristic, complemented
7#13071690C211yesmaximal, characteristic, complemented
8#13071661C211yesmaximal, characteristic, complemented
9#13071657C211yesmaximal, characteristic, complemented
10#13071644C211yesmaximal, characteristic, complemented
11#13071602C211yesmaximal, characteristic, complemented
12#13071593C211yesmaximal, characteristic, complemented
13#13071590C211yesmaximal, characteristic, complemented
14#13071541C211yesmaximal, characteristic, complemented
15#13071463C211yesmaximal, characteristic, complemented
16#13071460C211yesmaximal, characteristic, complemented
17#13071425C211yesmaximal, characteristic, complemented
18#13071406C211yesmaximal, characteristic, complemented
19#13071398C211yesmaximal, characteristic, complemented
20#13071392C211yesmaximal, characteristic, complemented
21#13071390C211yesmaximal, characteristic, complemented
22#13071377C211yesmaximal, characteristic, complemented
23#13071303C211yesmaximal, characteristic, complemented
24#13071285C211yesmaximal, characteristic, complemented
25#13071275C211yesmaximal, characteristic, complemented
26#13071270C211yesmaximal, characteristic, complemented
27#13071244C211yesmaximal, characteristic, complemented
28C4×#66951C211yesmaximal, characteristic, complemented
29C4×#66989C211yesmaximal, characteristic, complemented
30#13071076C211yesmaximal, characteristic, complemented
31C11×#2361C211yesmaximal, characteristic, complemented
32C2×C11×#121C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic, complemented
36C22×C11×C4⋊C4C2211yescharacteristic, complemented
37C2×#66992C2211yescharacteristic
38C2×#66991C2211yescharacteristic
39C2×#66990C2211yescharacteristic
40C2×#66990C2211yescharacteristic
41C2×#66989C2211yescharacteristic
42C2×#66988C2211yescharacteristic
43C2×#66982C2211yescharacteristic
44C2×C4×C22⋊D11C2211yescharacteristic
45C2×C4×C22⋊D11C2211yescharacteristic
46C22×(C2×D11)⋊C4C2211yescharacteristic
47#10623144C4116yescomplemented
48C2×#66951C2211yescharacteristic
49C2×#66949C2211yescharacteristic
50C2×#66945C2211yescharacteristic
51C2×#66938C2211yescharacteristic
52C2×(C22⋊D11)⋊C4C2211yescharacteristic
53C2×(C22⋊D11)⋊C4C2211yescharacteristic
54C2×C22⋊C4×D11C2211yescharacteristic
55C2×C22⋊C4×D11C2211yescharacteristic
56C2×#66932C2211yescharacteristic
57C2×#66930C2211yescharacteristic, complemented
58C2×#66925C2211yescharacteristic
59C2×C4×Dic22C2211yescharacteristic, complemented
60C11×#390C2211yescharacteristic
61C11×#389C2211yescharacteristic, complemented
62C11×#388C2211yescharacteristic
63C11×#388C2211yescharacteristic, complemented
64C11×#386C2211yescharacteristic
65C11×#386C2211yescharacteristic, complemented
66C11×#385C2211yescharacteristic
67C11×#385C2211yescharacteristic, complemented
68C4×C11×C4⋊C4C2211yescharacteristic, complemented
69C4×C11×C22⋊C4C2211yescharacteristic, complemented
70#10622834C2211yescharacteristic
71#10622834C2211yescharacteristic, complemented
72#10622833C2211yescharacteristic
73#10622833C2211yescharacteristic
74#10622833C2211yescharacteristic
75#10622833C2211yescharacteristic, complemented
76#10622826C2211yescharacteristic
77#10622826C2211yescharacteristic
78#10622826C2211yescharacteristic
79#10622826C2211yescharacteristic
80#10622826C2211yescharacteristic
81#10622825C2211yescharacteristic, complemented
82#10622824C2211yescharacteristic, complemented
83#10622823C2211yescharacteristic
84#10622823C2211yescharacteristic, complemented
85#10622823C2211yescharacteristic, complemented
86C4×C22⋊Dic11C2211yescharacteristic
87C4×C22⋊Dic11C2211yescharacteristic
88C4×C22⋊Dic11C2211yescharacteristic, complemented
89C4×C22⋊Dic11C2211yescharacteristic, complemented
90C4×C22⋊Dic11C2211yescharacteristic, complemented
91C2×C11⋊#95C2211yescharacteristic, complemented
92#10622603C2211yescharacteristic
93#10622603C2211yescharacteristic
94#10622603C2211yescharacteristic
95#10622603C2211yescharacteristic
96#10622603C2211yescharacteristic
97#10622603C2211yescharacteristic
98#10622602C2211yescharacteristic
99#10622602C2211yescharacteristic
100#10622602C2211yescharacteristic
101#10622600C2211yescharacteristic
102#10622600C2211yescharacteristic
103#10622594C2211yescharacteristic, complemented
104#10622594C2211yescharacteristic, complemented
105#10622591C2211yescharacteristic, complemented
106#10622591C2211yescharacteristic, complemented
107#10622591C2211yescharacteristic, complemented
108#10622591C2211yescharacteristic, complemented
109#10622591C2211yescharacteristic, complemented
110#10622590C2211yescharacteristic, complemented
111#10622590C2211yescharacteristic, complemented
112C4⋊C4×Dic11C2211yescharacteristic, complemented
113#10622587C2211yescharacteristic, complemented
114#10622586C2211yescharacteristic, complemented
115#10622585C2211yescharacteristic, complemented
116#10622585C2211yescharacteristic, complemented
117#10622571C2211yescharacteristic
118#10622570C2211yescharacteristic
119#10622570C2211yescharacteristic
120#10622570C2211yescharacteristic
121#10622570C2211yescharacteristic
122#10622570C2211yescharacteristic
123#10622570C2211yescharacteristic
124#10622569C2211yescharacteristic
125#10622569C2211yescharacteristic
126#10622568C2211yescharacteristic
127#10622568C2211yescharacteristic
128#10622564C2211yescharacteristic
129#10622564C2211yescharacteristic, complemented
130#10622563C2211yescharacteristic
131#10622563C2211yescharacteristic, complemented
132#10622559C2211yescharacteristic
133#10622558C2211yescharacteristic
134#10622558C2211yescharacteristic
135#10622558C2211yescharacteristic
136#10622558C2211yescharacteristic
137#10622558C2211yescharacteristic
138#10622558C2211yescharacteristic, complemented
139#10622558C2211yescharacteristic, complemented
140#10622558C2211yescharacteristic, complemented
141#10622558C2211yescharacteristic, complemented
142#10622558C2211yescharacteristic, complemented
143#10622557C2211yescharacteristic
144#10622557C2211yescharacteristic, complemented
145C22⋊C4×Dic11C2211yescharacteristic
146C22⋊C4×Dic11C2211yescharacteristic
147C22⋊C4×Dic11C2211yescharacteristic, complemented
148C22⋊C4×Dic11C2211yescharacteristic, complemented
149C22⋊C4×Dic11C2211yescharacteristic, complemented
150#10622553C2211yescharacteristic
151#10622553C2211yescharacteristic
152#10622553C2211yescharacteristic
153#10622553C2211yescharacteristic
154C4×(C2×D11)⋊C4C2211yescharacteristic
155C4×(C2×D11)⋊C4C2211yescharacteristic
156C4×(C2×D11)⋊C4C2211yescharacteristic
157C4×C4⋊Dic11C2211yescharacteristic, complemented
158#10622546C2211yescharacteristic, complemented
159#10622546C2211yescharacteristic, complemented
160C4×Dic11⋊C4C2211yescharacteristic, complemented
161C4×Dic11⋊C4C2211yescharacteristic, complemented
162C4×Dic11⋊C4C2211yescharacteristic, complemented
163C42×Dic11C2211yescharacteristic, complemented
164#10622283C2211yescharacteristic
165#10622283C2211yescharacteristic
166#10622283C2211yescharacteristic
167#10622283C2211yescharacteristic
168#10622282C2211yescharacteristic
169#10622282C2211yescharacteristic
170#10622281C2211yescharacteristic
171#10622279C2211yescharacteristic
172#10622279C2211yescharacteristic
173#10622279C2211yescharacteristic
174#10622277C2211yescharacteristic
175#10622277C2211yescharacteristic
176#10622268C2211yescharacteristic, complemented
177#10622267C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622264C2211yescharacteristic, complemented
180#10622263C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622262C2211yescharacteristic, complemented
183#10622262C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×Dic22C2311yescharacteristic
209C11×#121C2×C418yescomplemented
210C4×D4×C11—42no—
211C4×D4×C11—42no—
212C4×D4×C11—42no—
213C2×C11×C4⋊C4—42no—
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
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×C42×C11C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
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
251#66992C2×C418yescomplemented
252#66991C2×C418yescomplemented
253#66990C2×C418yescomplemented
254#66990C2×C418yescomplemented
255#66989C2×C418yescomplemented
256#66988C2×C418yescomplemented
257#66982C2×C418yescomplemented
258C4×C22⋊D11—42no—
259C4×C22⋊D11C2×C418yescomplemented
260C2×(C2×D11)⋊C4—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×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
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
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318#66951C2×C418yescomplemented
319#66949C2×C418yescomplemented
320#66945—42no—
321#66938C2×C418yescomplemented
322(C22⋊D11)⋊C4—42no—
323(C22⋊D11)⋊C4C2×C418yescomplemented
324C22⋊C4×D11—42no—
325C22⋊C4×D11C2×C418yescomplemented
326#66932C2×C418yescomplemented
327#66930—42no—
328#66925—42no—
329C4×Dic22—42no—
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#34454—111nomaximal, Sylow
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C23×D11—41no—
375C23×D11—41no—
376C23×D11—41no—
377C23×D11—41no—
378C23×D11—41no—
379C23×D11—41no—
380C23×D11C22×C414yes—
381C23×D11C2411yescharacteristic
382C23×D11C2411yescharacteristic
383C2×D4×C11—41no—
384C2×D4×C11—41no—
385C2×D4×C11—41no—
386C2×D4×C11—41no—
387C2×D4×C11—41no—
388C2×D4×C11—41no—
389C2×D4×C11C22×C414yes—
390C2×D4×C11C22×C414yes—
391C2×D4×C11C22×C414yes—
392C22×C4×C11—22no—
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×C11—41no—
400C22×C4×C11—41no—
401C22×C4×C11—41no—
402C22×C4×C11—41no—
403C22×C4×C11—41no—
404C22×C4×C11—41no—
405C22×C4×C11—41no—
406C22×C4×C11C22×C414yes—
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
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—
427C2×C22⋊D11C22×C414yes—
428C2×C22⋊D11C22×C414yes—
429C2×C22⋊D11C22×C414yes—
430C2×C22⋊D11C22×C414yes—
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×Dic11C22×C414yes—
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C2×C4×D11—22no—
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×D11C22×C414yes—
465C2×C4×D11C22×C414yes—
466C2×Dic22—41no—
467C2×Dic22—41no—
468C2×Dic22C22×C414yes—
469C11×C4⋊C4—22no—
470C11×C4⋊C4—22no—
471C11×C4⋊C4—41no—
472C11×C4⋊C4—41no—
473C11×C4⋊C4—41no—
474C11×C4⋊C4—41no—
475C11×C4⋊C4C22×C414yes—
476C11×C22⋊C4—22no—
477C11×C22⋊C4—22no—
478C11×C22⋊C4—22no—
479C11×C22⋊C4—22no—
480C11×C22⋊C4—41no—
481C11×C22⋊C4—41no—
482C11×C22⋊C4—41no—
483C11×C22⋊C4—41no—
484C11×C22⋊C4C22×C414yes—
485C11×C22⋊C4C22×C414yes—
486C42×C11—22no—
487C42×C11—22no—
488C42×C11—41no—
489C42×C11—41no—
490C22⋊Dic11—41no—
491C22⋊Dic11—41no—
492C22⋊Dic11—41no—
493C22⋊Dic11—41no—
494C22⋊Dic11—41no—
495C22⋊Dic11—41no—
496C22⋊Dic11—41no—
497C22⋊Dic11—41no—
498C22⋊Dic11—41no—
499C22⋊Dic11—41no—
500C22⋊Dic11C22×C414yes—
501C22⋊Dic11C22×C414yes—
502C22⋊Dic11C22×C414yes—
503C22⋊Dic11C22×C414yes—
504C22⋊Dic11C22×C414yes—
505C22⋊Dic11C22×C414yes—
506(C2×D11)⋊C4—22no—
507(C2×D11)⋊C4—22no—
508(C2×D11)⋊C4—22no—
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)⋊C4C22×C414yes—
521(C2×D11)⋊C4C22×C414yes—
522(C2×D11)⋊C4C22×C414yes—
523(C2×D11)⋊C4C22×C414yes—
524(C2×D11)⋊C4C22×C414yes—
525(C2×D11)⋊C4C22×C414yes—
526C4⋊Dic11—41no—
527C4⋊Dic11—41no—
528C4⋊Dic11—41no—
529C4⋊Dic11—41no—
530C4⋊Dic11C22×C414yes—
531Dic11⋊C4—22no—
532Dic11⋊C4—22no—
533Dic11⋊C4—22no—
534Dic11⋊C4—41no—
535Dic11⋊C4—41no—
536Dic11⋊C4—41no—
537Dic11⋊C4—41no—
538Dic11⋊C4—41no—
539Dic11⋊C4—41no—
540Dic11⋊C4—41no—
541Dic11⋊C4C22×C414yes—
542Dic11⋊C4C22×C414yes—
543Dic11⋊C4C22×C414yes—
544Dic11⋊C4C22×C414yes—
545C4×Dic11—22no—
546C4×Dic11—41no—
547C4×Dic11—41no—
548C4×Dic11—41no—
549C4×Dic11—41no—
550C4×Dic11—41no—
551C4×Dic11—41no—
552C4×Dic11—41no—
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×#538—111no—
564#2379—111no—
565#2378—111no—
566#2377—111no—
567#2375—111no—
568#2374—111no—
569#2367—111no—
570#2364—111no—
571#2363—111no—
572#2362—111no—
573#2361D1111yescharacteristic, complemented
574#2359—111no—
575#2358—111no—
576#2357—111no—
577#2352—111no—
578#2342—111no—
579#2342—111no—
580#2337—111no—
581#2335—111no—
582#2334—111no—
583#2334—111no—
584#2334—111no—
585#2333—111no—
586#2324—111no—
587#2322—111no—
588#2321—111no—
589#2321—111no—
590#2318—111no—
591C4×#126—111no—
592C4×#124—111no—
593#2293—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×D11—44no—
629C22×D11—44no—
630C22×D11—44no—
631C22×D11—82no—
632C22×D11—82no—
633C22×D11—82no—
634C22×D11—82no—
635C22×D11C23×C412yes—
636C22×D11C23×C412yes—
637D4×C11—44no—
638D4×C11—44no—
639D4×C11—44no—
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—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—44no—
671C2×C4×C11—82no—
672C2×C4×C11—82no—
673C2×C4×C11—82no—
674C2×C4×C11—82no—
675C2×C4×C11C23×C412yes—
676C2×C4×C11C23×C412yes—
677C2×C4×C11C23×C412yes—
678C2×C4×C11C23×C412yes—
679C2×C4×C11H(5,𝔽2)12yes—
680C2×C4×C11H(5,𝔽2)12yes—
681C22⋊D11—44no—
682C22⋊D11—44no—
683C22⋊D11—44no—
684C22⋊D11—44no—
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—44no—
722C2×Dic11—82no—
723C2×Dic11—82no—
724C2×Dic11C23×C412yes—
725C2×Dic11C23×C412yes—
726C2×Dic11C23×C412yes—
727C2×Dic11C23×C412yes—
728C2×Dic11C23×C412yes—
729C2×Dic11C23×C412yes—
730C4×D11—44no—
731C4×D11—44no—
732C4×D11—82no—
733C4×D11—82no—
734Dic22—44no—
735#538—1116no—
736C2×#126—111no—
737C2×#126—111no—
738C2×#124—111no—
739C2×#124—111no—
740C2×#123—111no—
741C2×#123—111no—
742C2×C22⋊Q8—111no—
743C2×#121—111no—
744C2×#121—111no—
745C2×#121C2×D1111yescharacteristic
746C2×#120—111no—
747C2×#120—111no—
748C2×C4×Q8—111no—
749C2×C4×D4—111no—
750C2×C4×D4—111no—
751C2×C4×D4—111no—
752C2×C4×D4—111no—
753C2×C4×D4C2×D1111yescharacteristic
754C2×C4×D4C2×D1111yescharacteristic
755C2×C4×D4C2×D1111yescharacteristic, complemented
756C2×#117—111no—
757C2×#117—111no—
758C2×#117—111no—
759C22×C4⋊C4C2×D1111yescharacteristic, complemented
760C22×C22⋊C4—111no—
761C22×C22⋊C4—111no—
762C22×C22⋊C4—111no—
763#391—111no—
764#391—111no—
765#391—111no—
766#390—111no—
767#390—111no—
768#390—111no—
769#390—111no—
770#390—111no—
771#390—111no—
772#390—111no—
773#390—111no—
774#390C2×D1111yescharacteristic
775#389—111no—
776#389—111no—
777#389—111no—
778#389—111no—
779#389—111no—
780#389C2×D1111yescharacteristic, complemented
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#388—111no—
794#388—111no—
795#388—111no—
796#388—111no—
797#388—111no—
798#388—111no—
799#388—111no—
800#388—111no—
801#388—111no—
802#388—111no—
803#388—111no—
804#388—111no—
805#388—111no—
806#388—111no—
807#388—111no—
808#388—111no—
809#388—111no—
810#388—111no—
811#388C2×D1111yescharacteristic
812#388C2×D1111yescharacteristic, complemented
813#387—111no—
814#387—111no—
815#387—111no—
816#387—111no—
817#387—111no—
818#387—111no—
819#387—111no—
820#387—111no—
821#387—111no—
822#387—111no—
823#387—111no—
824#387—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, complemented
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#385C2×D1111yescharacteristic
850#385C2×D1111yescharacteristic, complemented
851#383—111no—
852#382—111no—
853#382—111no—
854#382—111no—
855#381—111no—
856#381—111no—
857#381—111no—
858#380—111no—
859#380—111no—
860#380—111no—
861#379—111no—
862#379—111no—
863C4×C4⋊C4—111no—
864C4×C4⋊C4—111no—
865C4×C4⋊C4—111no—
866C4×C4⋊C4—111no—
867C4×C4⋊C4—111no—
868C4×C4⋊C4—111no—
869C4×C4⋊C4—111no—
870C4×C4⋊C4—111no—
871C4×C4⋊C4C2×D1111yescharacteristic, complemented
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⋊C4—111no—
881C4×C22⋊C4—111no—
882C4×C22⋊C4—111no—
883C4×C22⋊C4—111no—
884C4×C22⋊C4—111no—
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊C4—111no—
888C4×C22⋊C4C2×D1111yescharacteristic, complemented
889C2×#95—111no—
890C43—111no—
891C22×C11—22no—
892C22×C11—22no—
893C22×C11—22no—
894C22×C11—22no—
895C22×C11—22no—
896C22×C11—22no—
897C22×C11—22no—
898C22×C11—22no—
899C22×C11—22no—
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×C11C24×C411yescharacteristic
913C22×C11C2×H(5,𝔽2)11yescharacteristic
914C22×C11C2×H(5,𝔽2)11yescharacteristic
915C22×C11#58511yescharacteristic
916C22×C11#58511yescharacteristic
917C22×C11#58511yescharacteristic
918C22×C11#58511yescharacteristic
919C2×D11—22no—
920C2×D11—22no—
921C2×D11—22no—
922C2×D11—22no—
923C2×D11—22no—
924C2×D11—22no—
925C2×D11—41no—
926C2×D11—41no—
927C2×D11—41no—
928C2×D11—41no—
929C2×D11—41no—
930C2×D11—41no—
931C2×D11—41no—
932C2×D11—41no—
933C2×D11—88no—
934C4×C11—22no—
935C4×C11—22no—
936C4×C11—22no—
937C4×C11—22no—
938C4×C11—22no—
939C4×C11—22no—
940C4×C11—41no—
941C4×C11—41no—
942C4×C11—41no—
943C4×C11—41no—
944C4×C11—41no—
945C4×C11—41no—
946Dic11—22no—
947Dic11—22no—
948Dic11—22no—
949Dic11—22no—
950Dic11—22no—
951Dic11—22no—
952Dic11—41no—
953Dic11—41no—
954Dic11—41no—
955Dic11—41no—
956Dic11—41no—
957Dic11—41no—
958Dic11—41no—
959Dic11—41no—
960C25—111no—
961C22×Q8—111no—
962C22×D4—111no—
963C22×D4—111no—
964C22×D4—111no—
965C22×D4—111no—
966C22×D4C22×D1111yescharacteristic
967C22×D4C22×D1111yescharacteristic
968C22×D4C22×D1111yescharacteristic
969C23×C4—111no—
970C23×C4—111no—
971C23×C4—111no—
972C23×C4—111no—
973C23×C4—111no—
974C23×C4—111no—
975C23×C4—111no—
976C23×C4C22×D1111yescharacteristic
977C23×C4C22×D1111yescharacteristic
978C23×C4C22×D1111yescharacteristic
979C23×C4C22×D1111yescharacteristic
980C23×C4C22×D1111yescharacteristic
981#126—118no—
982#126—118no—
983#124—118no—
984#124—118no—
985#123—118no—
986#123—118no—
987C22⋊Q8—118no—
988#121—118no—
989#121—118no—
990#121C4×D1118yescomplemented
991#120—118no—
992#120—118no—
993C4×Q8—442no—
994C4×D4—42no—
995C4×D4—42no—
996C4×D4—42no—
997C4×D4—118no—
998C4×D4—118no—
999C4×D4—442no—
1000C4×D4—442no—
1001#117—442no—
1002#117—442no—
1003#117—442no—
1004C2×C4⋊C4—42no—
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⋊C4C22×D1111yescharacteristic
1025C2×C4⋊C4C22×D1111yescharacteristic
1026C2×C4⋊C4C22×D1111yescharacteristic
1027C2×C4⋊C4C22×D1111yescharacteristic
1028C2×C4⋊C4C22×D1111yescharacteristic
1029C2×C4⋊C4C22×D1111yescharacteristic
1030C2×C4⋊C4C22×D1111yescharacteristic
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—111no—
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—118no—
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—442no—
1069C2×C22⋊C4—442no—
1070C2×C22⋊C4C22×D1111yescharacteristic
1071C2×C22⋊C4C22×D1111yescharacteristic
1072C2×C22⋊C4C22×D1111yescharacteristic
1073C2×C22⋊C4C22×D1111yescharacteristic
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×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—111no—
1089C2×C42—111no—
1090C2×C42—111no—
1091C2×C42—111no—
1092C2×C42—111no—
1093C2×C42—111no—
1094C2×C42—111no—
1095C2×C42—111no—
1096C2×C42—111no—
1097C2×C42—111no—
1098C2×C42C22×D1111yescharacteristic
1099C2×C42C22×D1111yescharacteristic
1100C2×C42C22×D1111yescharacteristic
1101C2×C42C22×D1111yescharacteristic
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#95—111no—
1134#95—111no—
1135#95—111no—
1136#95C22×D1111yescharacteristic
1137#95C22×D1111yescharacteristic
1138#95C22×D1111yescharacteristic
1139#95C22×D1111yescharacteristic
1140#95C22×D1111yescharacteristic
1141#95C22×D1111yescharacteristic
1142C2×C11—42no—
1143C2×C11—42no—
1144C2×C11—42no—
1145C2×C11#342811yescharacteristic
1146C2×C11C4×H(5,𝔽2)11yescharacteristic
1147C2×C11C4×H(5,𝔽2)11yescharacteristic
1148C2×C11#355811yescharacteristic
1149C2×C11#356011yescharacteristic
1150C2×C11#356211yescharacteristic
1151C2×C11#356611yescharacteristic
1152D11—42no—
1153D11—42no—
1154C24—111no—
1155C24—111no—
1156C24—114no—
1157C24—441no—
1158C24—441no—
1159C24—441no—
1160C24—441no—
1161C24—441no—
1162C24—441no—
1163C24C23×D1111yescharacteristic
1164C24C23×D1111yescharacteristic
1165C24C23×D1111yescharacteristic
1166C2×Q8—114no—
1167C2×Q8—441no—
1168C2×Q8—441no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—114no—
1176C2×D4—114no—
1177C2×D4—114no—
1178C2×D4—114no—
1179C2×D4—441no—
1180C2×D4—441no—
1181C2×D4—441no—
1182C2×D4—441no—
1183C2×D4—441no—
1184C2×D4—441no—
1185C2×D4—441no—
1186C2×D4—441no—
1187C2×D4C2×C4×D1114yes—
1188C2×D4C2×C4×D1114yes—
1189C2×D4C2×C4×D1114yes—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—111no—
1205C22×C4—111no—
1206C22×C4—111no—
1207C22×C4—111no—
1208C22×C4—111no—
1209C22×C4—111no—
1210C22×C4—114no—
1211C22×C4—114no—
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—222no—
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×C4C2×C4×D1114yes—
1240C22×C4C23×D1111yescharacteristic
1241C22×C4C23×D1111yescharacteristic
1242C22×C4C23×D1111yescharacteristic
1243C22×C4C23×D1111yescharacteristic
1244C22×C4C23×D1111yescharacteristic
1245C22×C4C23×D1111yescharacteristic
1246C22×C4C23×D1111yescharacteristic
1247C22×C4C23×D1111yescharacteristic
1248C22×C4C23×D1111yescharacteristic
1249C22×C4C23×D1111yescharacteristic
1250C22×C4C23×D1111yescharacteristic
1251C22×C4C23×D1111yescharacteristic
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—114no—
1259C4⋊C4—114no—
1260C4⋊C4—114no—
1261C4⋊C4—114no—
1262C4⋊C4—114no—
1263C4⋊C4—222no—
1264C4⋊C4—222no—
1265C4⋊C4—222no—
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⋊C4C2×C4×D1114yes—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—114no—
1287C22⋊C4—114no—
1288C22⋊C4—114no—
1289C22⋊C4—114no—
1290C22⋊C4—114no—
1291C22⋊C4—114no—
1292C22⋊C4—114no—
1293C22⋊C4—114no—
1294C22⋊C4—114no—
1295C22⋊C4—114no—
1296C22⋊C4—114no—
1297C22⋊C4—114no—
1298C22⋊C4—222no—
1299C22⋊C4—222no—
1300C22⋊C4—222no—
1301C22⋊C4—441no—
1302C22⋊C4—441no—
1303C22⋊C4—441no—
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⋊C4—441no—
1322C22⋊C4C2×C4×D1114yes—
1323C22⋊C4C2×C4×D1114yes—
1324C42—22no—
1325C42—22no—
1326C42—41no—
1327C42—41no—
1328C42—114no—
1329C42—114no—
1330C42—222no—
1331C42—441no—
1332C42—441no—
1333C42—441no—
1334C42—441no—
1335C42—441no—
1336C42—441no—
1337C42—441no—
1338C42—441no—
1339C42—441no—
1340C42—441no—
1341C42—441no—
1342C42—441no—
1343C42—441no—
1344C42—441no—
1345C42—441no—
1346C11#3445411yescharacteristic, complemented, Sylow
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—21no—
1363C23—21no—
1364C23—21no—
1365C23—112no—
1366C23—112no—
1367C23—221no—
1368C23—221no—
1369C23—221no—
1370C23—221no—
1371C23—221no—
1372C23—221no—
1373C23—221no—
1374C23—221no—
1375C23—221no—
1376C23—221no—
1377C23—221no—
1378C23—221no—
1379C23—444no—
1380C23—444no—
1381C23—444no—
1382C23—882no—
1383C23—882no—
1384C23—882no—
1385C23—882no—
1386C23C22×C4×D1112yes—
1387C23C22×C4×D1112yes—
1388C23C22×C4×D1112yes—
1389C23C24×D1111yescharacteristic
1390Q8—444no—
1391D4—44no—
1392D4—44no—
1393D4—44no—
1394D4—444no—
1395D4—444no—
1396D4—444no—
1397D4—444no—
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—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—44no—
1429C2×C4—82no—
1430C2×C4—82no—
1431C2×C4—82no—
1432C2×C4—82no—
1433C2×C4—112no—
1434C2×C4—112no—
1435C2×C4—112no—
1436C2×C4—112no—
1437C2×C4—112no—
1438C2×C4—112no—
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—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—444no—
1476C2×C4—444no—
1477C2×C4—444no—
1478C2×C4—882no—
1479C2×C4—882no—
1480C2×C4—882no—
1481C2×C4—882no—
1482C2×C4C22×C4×D1112yes—
1483C2×C4C22×C4×D1112yes—
1484C2×C4C22×C4×D1112yes—
1485C2×C4C22×C4×D1112yes—
1486C2×C4#6703712yes—
1487C2×C4#6703712yes—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—222no—
1510C22—222no—
1511C22—222no—
1512C22—222no—
1513C22—222no—
1514C22—222no—
1515C22—441no—
1516C22—441no—
1517C22—441no—
1518C22—441no—
1519C22—441no—
1520C22—441no—
1521C22—441no—
1522C22—441no—
1523C22—888no—
1524C22C23×C4×D1111yescharacteristic
1525C22C2×#6703711yescharacteristic
1526C22C2×#6703711yescharacteristic
1527C22#1062345311yescharacteristic
1528C22#1062345311yescharacteristic
1529C22#1062345511yescharacteristic
1530C22#1062345711yescharacteristic
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—22no—
1536C4—22no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—222no—
1544C4—222no—
1545C4—222no—
1546C4—222no—
1547C4—222no—
1548C4—222no—
1549C4—441no—
1550C4—441no—
1551C4—441no—
1552C4—441no—
1553C4—441no—
1554C4—441no—
1555C4—441no—
1556C4—441no—
1557C2—42no—
1558C2—42no—
1559C2—42no—
1560C2—442no—
1561C2—442no—
1562C2#1308181611yescharacteristic
1563C2C4×#6703711yescharacteristic
1564C2C4×#6703711yescharacteristic
1565C2#1308313011yescharacteristic
1566C2#1308316411yescharacteristic
1567C2#1308320711yescharacteristic
1568C2#1308329011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2361C2
socle, cosocleC23×C11C25
prime radicalC2×#10623144C2
hypercenter#2361D11
hypocenterC11#34454
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2361

Complements

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

NH ≅ G/Ntype
2. #13071789C2semidirect
3. #13071778C2semidirect
4. #13071773C2semidirect
5. #13071754C2semidirect
6. #13071751C2semidirect
7. #13071690C2semidirect
8. #13071661C2semidirect
9. #13071657C2semidirect
10. #13071644C2semidirect
11. #13071602C2semidirect
12. #13071593C2semidirect
13. #13071590C2semidirect
14. #13071541C2semidirect
15. #13071463C2semidirect
16. #13071460C2semidirect
17. #13071425C2semidirect
18. #13071406C2semidirect
19. #13071398C2semidirect
20. #13071392C2semidirect
21. #13071390C2semidirect
22. #13071377C2semidirect
23. #13071303C2semidirect
24. #13071285C2semidirect
25. #13071275C2semidirect
26. #13071270C2semidirect
27. #13071244C2semidirect
28. C4×#66951C2semidirect
29. C4×#66989C2semidirect
30. #13071076C2semidirect
31. C11×#2361C2semidirect
35. C2×C4×D4×C11C22semidirect
36. C22×C11×C4⋊C4C22semidirect
47. #10623144C4semidirect
57. C2×#66930C22semidirect
59. C2×C4×Dic22C22semidirect
61. C11×#389C22semidirect
63. C11×#388C22semidirect
65. C11×#386C22semidirect
67. C11×#385C22semidirect
68. C4×C11×C4⋊C4C22semidirect
69. C4×C11×C22⋊C4C22semidirect
71. #10622834C22semidirect
75. #10622833C22semidirect
81. #10622825C22semidirect
82. #10622824C22semidirect
84. #10622823C22semidirect
85. #10622823C22semidirect
88. C4×C22⋊Dic11C22semidirect
89. C4×C22⋊Dic11C22semidirect
90. C4×C22⋊Dic11C22semidirect
91. C2×C11⋊#95C22semidirect
103. #10622594C22semidirect
104. #10622594C22semidirect
105. #10622591C22semidirect
106. #10622591C22semidirect
107. #10622591C22semidirect
108. #10622591C22semidirect
109. #10622591C22semidirect
110. #10622590C22semidirect
111. #10622590C22semidirect
112. C4⋊C4×Dic11C22semidirect
113. #10622587C22semidirect
114. #10622586C22semidirect
115. #10622585C22semidirect
116. #10622585C22semidirect
129. #10622564C22semidirect
131. #10622563C22semidirect
138. #10622558C22semidirect
139. #10622558C22semidirect
140. #10622558C22semidirect
141. #10622558C22semidirect
142. #10622558C22semidirect
144. #10622557C22semidirect
147. C22⋊C4×Dic11C22semidirect
148. C22⋊C4×Dic11C22semidirect
149. C22⋊C4×Dic11C22semidirect
157. C4×C4⋊Dic11C22semidirect
158. #10622546C22semidirect
159. #10622546C22semidirect
160. C4×Dic11⋊C4C22semidirect
161. C4×Dic11⋊C4C22semidirect
162. C4×Dic11⋊C4C22semidirect
163. C42×Dic11C22semidirect
176. #10622268C22semidirect
177. #10622267C22semidirect
178. #10622266C22semidirect
179. #10622264C22semidirect
180. #10622263C22semidirect
181. #10622262C22semidirect
182. #10622262C22semidirect
183. #10622262C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
209. C11×#121C2×C4semidirect
251. #66992C2×C4semidirect
252. #66991C2×C4semidirect
253. #66990C2×C4semidirect
254. #66990C2×C4semidirect
255. #66989C2×C4semidirect
256. #66988C2×C4semidirect
257. #66982C2×C4semidirect
259. C4×C22⋊D11C2×C4semidirect
318. #66951C2×C4semidirect
319. #66949C2×C4semidirect
321. #66938C2×C4semidirect
323. (C22⋊D11)⋊C4C2×C4semidirect
325. C22⋊C4×D11C2×C4semidirect
326. #66932C2×C4semidirect
573. #2361D11semidirect
755. C2×C4×D4C2×D11semidirect
759. C22×C4⋊C4C2×D11semidirect
780. #389C2×D11semidirect
812. #388C2×D11semidirect
838. #386C2×D11semidirect
850. #385C2×D11semidirect
871. C4×C4⋊C4C2×D11semidirect
888. C4×C22⋊C4C2×D11semidirect
990. #121C4×D11semidirect
1346. C11#34454semidirect

Maximal subgroups

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

subgroupindex
C2×#106231442
#130717892
#130717782
#130717732
#130717542
#130717512
#130716902
#130716612
#130716572
#130716442
#130716022
#130715932
#130715902
#130715412
#130714632
#130714602
#130714252
#130714062
#130713982
#130713922
#130713902
#130713772
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