Finite Group Databasebeta

← #14918307

Subgroups — #14918307

Order 2816.

2844 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623337C211yesmaximal, characteristic
2#13071786C211yesmaximal, characteristic, complemented
3#13071774C211yesmaximal, characteristic, complemented
4#13071768C211yesmaximal, characteristic, complemented
5#13071759C211yesmaximal, characteristic, complemented
6#13071696C211yesmaximal, characteristic, complemented
7#13071627C211yesmaximal, characteristic, complemented
8#13071614C211yesmaximal, characteristic, complemented
9#13071595C211yesmaximal, characteristic, complemented
10#13071595C211yesmaximal, characteristic, complemented
11#13071543C211yesmaximal, characteristic, complemented
12#13071523C211yesmaximal, characteristic, complemented
13#13071461C211yesmaximal, characteristic, complemented
14#13071461C211yesmaximal, characteristic, complemented
15#13071442C211yesmaximal, characteristic, complemented
16D4×C22⋊Dic11C211yesmaximal, characteristic, complemented
17#13071425C211yesmaximal, characteristic, complemented
18#13071407C211yesmaximal, characteristic, complemented
19#13071349C211yesmaximal, characteristic, complemented
20#13071318C211yesmaximal, characteristic, complemented
21#13071317C211yesmaximal, characteristic, complemented
22#13071306C211yesmaximal, characteristic, complemented
23#13071290C211yesmaximal, characteristic, complemented
24#13071274C211yesmaximal, characteristic, complemented
25#13071250C211yesmaximal, characteristic, complemented
26#13071242C211yesmaximal, characteristic, complemented
27#13071228C211yesmaximal, characteristic, complemented
28#13071203C211yesmaximal, characteristic, complemented
29C4×#67006C211yesmaximal, characteristic, complemented
30C2×#10622823C211yesmaximal, characteristic, complemented
31C2×C11×#386C211yesmaximal, characteristic, complemented
32C23×D4×C11C2211yescharacteristic
33C24×C4×C11C2211yescharacteristic
34C22×#4341C2211yescharacteristic
35C22×C11×C22⋊C4C2211yescharacteristic
36C22×C11×C22⋊C4C2211yescharacteristic
37C22×C11×C22⋊C4C2211yescharacteristic
38C2×#67006C2211yescharacteristic
39C2×#67006C2211yescharacteristic
40C22×C22⋊Dic11C2211yescharacteristic
41C22×C22⋊Dic11C2211yescharacteristic
42C22×C22⋊Dic11C2211yescharacteristic
43C22×C22⋊Dic11C2211yescharacteristic
44#10623337C4116yescomplemented
45C2×#66992C2211yescharacteristic
46C2×#66992C2211yescharacteristic
47C2×#66991C2211yescharacteristic
48C2×#66989C2211yescharacteristic
49C2×#66988C2211yescharacteristic
50C2×#66988C2211yescharacteristic
51C2×D4×Dic11C2211yescharacteristic
52C2×D4×Dic11C2211yescharacteristic
53C2×D4×Dic11C2211yescharacteristic
54C2×C4×C22⋊D11C2211yescharacteristic
55C2×C4×C22⋊D11C2211yescharacteristic
56C2×C4×C22⋊D11C2211yescharacteristic
57C2×C4×C22⋊D11C2211yescharacteristic, complemented
58C2×C4×C22⋊D11C2211yescharacteristic, complemented
59C2×#66977C2211yescharacteristic
60C22×Dic11⋊C4C2211yescharacteristic, complemented
61C22×Dic11⋊C4C2211yescharacteristic, complemented
62C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
63C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
64C2×#66930C2211yescharacteristic, complemented
65C2×#66930C2211yescharacteristic, complemented
66C11×#386C2211yescharacteristic
67C11×#386C2211yescharacteristic
68C11×#386C2211yescharacteristic
69C11×#386C2211yescharacteristic
70C11×#386C2211yescharacteristic
71C11×#386C2211yescharacteristic
72C11×#386C2211yescharacteristic
73C11×#386C2211yescharacteristic
74C2×C11×#95C2211yescharacteristic
75C2×C11×#95C2211yescharacteristic
76#10622860C2211yescharacteristic
77#10622860C2211yescharacteristic
78#10622834C2211yescharacteristic
79#10622834C2211yescharacteristic
80#10622833C2211yescharacteristic
81#10622833C2211yescharacteristic
82#10622833C2211yescharacteristic
83#10622833C2211yescharacteristic
84#10622826C2211yescharacteristic
85#10622826C2211yescharacteristic
86#10622826C2211yescharacteristic, complemented
87#10622826C2211yescharacteristic, complemented
88#10622825C2211yescharacteristic
89#10622823C2211yescharacteristic
90#10622823C2211yescharacteristic
91#10622823C2211yescharacteristic
92#10622823C2211yescharacteristic
93#10622823C2211yescharacteristic
94#10622823C2211yescharacteristic
95#10622823C2211yescharacteristic
96#10622823C2211yescharacteristic
97#10622823C2211yescharacteristic, complemented
98#10622823C2211yescharacteristic, complemented
99#10622823C2211yescharacteristic, complemented
100#10622823C2211yescharacteristic, complemented
101#10622823C2211yescharacteristic, complemented
102#10622823C2211yescharacteristic, complemented
103C4×C22⋊Dic11C2211yescharacteristic
104C4×C22⋊Dic11C2211yescharacteristic
105C4×C22⋊Dic11C2211yescharacteristic
106C4×C22⋊Dic11C2211yescharacteristic
107C4×C22⋊Dic11C2211yescharacteristic
108C4×C22⋊Dic11C2211yescharacteristic, complemented
109C4×C22⋊Dic11C2211yescharacteristic, complemented
110C2×C11⋊#95C2211yescharacteristic, complemented
111C2×C11⋊#95C2211yescharacteristic, complemented
112#10622571C2211yescharacteristic, complemented
113#10622571C2211yescharacteristic, complemented
114#10622570C2211yescharacteristic, complemented
115#10622570C2211yescharacteristic, complemented
116#10622570C2211yescharacteristic, complemented
117#10622570C2211yescharacteristic, complemented
118#10622569C2211yescharacteristic, complemented
119#10622569C2211yescharacteristic, complemented
120#10622569C2211yescharacteristic, complemented
121#10622569C2211yescharacteristic, complemented
122#10622559C2211yescharacteristic, complemented
123#10622559C2211yescharacteristic, complemented
124#10622559C2211yescharacteristic, complemented
125#10622559C2211yescharacteristic, complemented
126#10622559C2211yescharacteristic, complemented
127#10622559C2211yescharacteristic, complemented
128#10622558C2211yescharacteristic, complemented
129#10622558C2211yescharacteristic, complemented
130#10622558C2211yescharacteristic, complemented
131#10622558C2211yescharacteristic, complemented
132#10622558C2211yescharacteristic, complemented
133#10622558C2211yescharacteristic, complemented
134#10622558C2211yescharacteristic, complemented
135#10622558C2211yescharacteristic, complemented
136#10622557C2211yescharacteristic, complemented
137#10622557C2211yescharacteristic, complemented
138#10622557C2211yescharacteristic, complemented
139#10622557C2211yescharacteristic, complemented
140#10622557C2211yescharacteristic, complemented
141#10622557C2211yescharacteristic, complemented
142#10622557C2211yescharacteristic, complemented
143#10622557C2211yescharacteristic, complemented
144#10622556C2211yescharacteristic, complemented
145#10622556C2211yescharacteristic, complemented
146#10622555C2211yescharacteristic, complemented
147#10622555C2211yescharacteristic, complemented
148#10622555C2211yescharacteristic, complemented
149#10622555C2211yescharacteristic, complemented
150#10622555C2211yescharacteristic, complemented
151#10622555C2211yescharacteristic, complemented
152C22⋊C4×Dic11C2211yescharacteristic, complemented
153C22⋊C4×Dic11C2211yescharacteristic, complemented
154C22⋊C4×Dic11C2211yescharacteristic, complemented
155C22⋊C4×Dic11C2211yescharacteristic, complemented
156#10622282C2211yescharacteristic, complemented
157#10622282C2211yescharacteristic, complemented
158#10622281C2211yescharacteristic, complemented
159#10622281C2211yescharacteristic, complemented
160#10622280C2211yescharacteristic, complemented
161#10622280C2211yescharacteristic, complemented
162#10622277C2211yescharacteristic, complemented
163D11×#95C2211yescharacteristic, complemented
164#10622268C2211yescharacteristic, complemented
165#10622268C2211yescharacteristic, complemented
166#10622267C2211yescharacteristic, complemented
167#10622267C2211yescharacteristic, complemented
168#10622266C2211yescharacteristic, complemented
169#10622266C2211yescharacteristic, complemented
170#10622265C2211yescharacteristic, complemented
171#10622265C2211yescharacteristic, complemented
172#10622265C2211yescharacteristic, complemented
173#10622265C2211yescharacteristic, complemented
174#10622264C2211yescharacteristic, complemented
175#10622263C2211yescharacteristic, complemented
176#10622263C2211yescharacteristic, complemented
177#10622262C2211yescharacteristic, complemented
178#10622262C2211yescharacteristic, complemented
179#10622262C2211yescharacteristic, complemented
180#10622260C2211yescharacteristic, complemented
181#10622260C2211yescharacteristic, complemented
182#10622260C2211yescharacteristic, complemented
183#10622260C2211yescharacteristic, complemented
184#10622259C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C25×C11C2311yescharacteristic
189C25×C11C2311yescharacteristic
190C22×D4×C11—42no—
191C22×D4×C11—42no—
192C22×D4×C11C2×C418yescomplemented
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C23×C4×C11—42no—
198C23×C4×C11—42no—
199C23×C4×C11—42no—
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C23×C4×C11C2311yescharacteristic
204C23×C4×C11C2311yescharacteristic
205C23×C4×C11C2311yescharacteristic
206C23×C4×C11C2311yescharacteristic
207C23×C4×C11C2311yescharacteristic
208C23×C4×C11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C22×C22⋊D11C2311yescharacteristic
212C22×C22⋊D11C2311yescharacteristic
213C22×C22⋊D11C2311yescharacteristic
214C23×Dic11C2311yescharacteristic
215C23×Dic11C2311yescharacteristic
216C23×Dic11C2311yescharacteristic
217C23×Dic11C2311yescharacteristic
218C23×Dic11C2311yescharacteristic
219C23×Dic11C2311yescharacteristic
220C23×Dic11C2311yescharacteristic
221C23×Dic11C2311yescharacteristic
222C2×#4341—42no—
223C2×#4341—42no—
224C2×#4341C2×C418yescomplemented
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×Dic22C2311yescharacteristic
229C2×C11×C22⋊C4—42no—
230C2×C11×C22⋊C4—42no—
231C2×C11×C22⋊C4—42no—
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244#67006C2×C418yescomplemented
245#67006C2×C418yescomplemented
246C2×C22⋊Dic11—42no—
247C2×C22⋊Dic11—42no—
248C2×C22⋊Dic11C2×C418yescomplemented
249C2×C22⋊Dic11C2×C418yescomplemented
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276C2×C22⋊Dic11C2311yescharacteristic
277#66992C2×C418yescomplemented
278#66992C2×C418yescomplemented
279#66991C2×C418yescomplemented
280#66989C2×C418yescomplemented
281#66988C2×C418yescomplemented
282#66988C2×C418yescomplemented
283D4×Dic11—42no—
284D4×Dic11—42no—
285D4×Dic11C2×C418yescomplemented
286C4×C22⋊D11—42no—
287C4×C22⋊D11—42no—
288C4×C22⋊D11—42no—
289C4×C22⋊D11—42no—
290C4×C22⋊D11C2×C418yescomplemented
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
301#66977C2×C418yescomplemented
302C2×Dic11⋊C4—42no—
303C2×Dic11⋊C4—42no—
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334C2×C4×Dic11C2311yescharacteristic
335C2×C4×Dic11C2311yescharacteristic
336C2×C4×Dic11C2311yescharacteristic
337C2×C4×Dic11C2311yescharacteristic
338(C22⋊D11)⋊C4—42no—
339(C22⋊D11)⋊C4—42no—
340#66930—42no—
341#66930—42no—
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
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382#34456—111nomaximal, Sylow
383C24×C11—22no—
384C24×C11—22no—
385C24×C11—22no—
386C24×C11—22no—
387C24×C11—22no—
388C24×C11—22no—
389C24×C11—41no—
390C24×C11—41no—
391C24×C11—41no—
392C24×C11—41no—
393C24×C11—41no—
394C24×C11—41no—
395C24×C11C22×C414yes—
396C24×C11C22×C414yes—
397C24×C11C2411yescharacteristic
398C24×C11C2411yescharacteristic
399C24×C11C2411yescharacteristic
400C24×C11C2411yescharacteristic
401C24×C11C2411yescharacteristic
402C23×D11C2411yescharacteristic
403C2×D4×C11—22no—
404C2×D4×C11—22no—
405C2×D4×C11—22no—
406C2×D4×C11—22no—
407C2×D4×C11—41no—
408C2×D4×C11—41no—
409C2×D4×C11—41no—
410C2×D4×C11—41no—
411C2×D4×C11—416no—
412C2×D4×C11C22×C414yes—
413C2×D4×C11C22×C414yes—
414C2×D4×C11C22×C414yes—
415C2×D4×C11C22×C414yes—
416C22×C4×C11—22no—
417C22×C4×C11—22no—
418C22×C4×C11—22no—
419C22×C4×C11—22no—
420C22×C4×C11—22no—
421C22×C4×C11—22no—
422C22×C4×C11—22no—
423C22×C4×C11—22no—
424C22×C4×C11—22no—
425C22×C4×C11—41no—
426C22×C4×C11—41no—
427C22×C4×C11—41no—
428C22×C4×C11—41no—
429C22×C4×C11—41no—
430C22×C4×C11—41no—
431C22×C4×C11—41no—
432C22×C4×C11—41no—
433C22×C4×C11—41no—
434C22×C4×C11—41no—
435C22×C4×C11—41no—
436C22×C4×C11—41no—
437C22×C4×C11—41no—
438C22×C4×C11—41no—
439C22×C4×C11—41no—
440C22×C4×C11—41no—
441C22×C4×C11—41no—
442C22×C4×C11—416no—
443C22×C4×C11C22×C414yes—
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
447C22×C4×C11C2411yescharacteristic
448C22×C4×C11C2411yescharacteristic
449C22×C4×C11C2411yescharacteristic
450C22×C4×C11C2411yescharacteristic
451C22×C4×C11C2411yescharacteristic
452C22×C4×C11C2411yescharacteristic
453C22×C4×C11C2411yescharacteristic
454C2×C22⋊D11—22no—
455C2×C22⋊D11—22no—
456C2×C22⋊D11—22no—
457C2×C22⋊D11—22no—
458C2×C22⋊D11—41no—
459C2×C22⋊D11—41no—
460C2×C22⋊D11—41no—
461C2×C22⋊D11—41no—
462C2×C22⋊D11—41no—
463C2×C22⋊D11—41no—
464C2×C22⋊D11C22×C414yes—
465C2×C22⋊D11C22×C414yes—
466C2×C22⋊D11C22×C414yes—
467C2×C22⋊D11C22×C414yescomplemented
468C2×C22⋊D11C22×C414yescomplemented
469C22×Dic11—22no—
470C22×Dic11—22no—
471C22×Dic11—22no—
472C22×Dic11—22no—
473C22×Dic11—41no—
474C22×Dic11—41no—
475C22×Dic11—41no—
476C22×Dic11—41no—
477C22×Dic11—41no—
478C22×Dic11—41no—
479C22×Dic11—41no—
480C22×Dic11—41no—
481C22×Dic11—41no—
482C22×Dic11—41no—
483C22×Dic11—41no—
484C22×Dic11—41no—
485C22×Dic11—41no—
486C22×Dic11—41no—
487C22×Dic11—41no—
488C22×Dic11—41no—
489C22×Dic11C22×C414yes—
490C22×Dic11C22×C414yes—
491C22×Dic11C22×C414yescomplemented
492C22×Dic11C22×C414yescomplemented
493C22×Dic11C2411yescharacteristic
494C22×Dic11C2411yescharacteristic
495C22×Dic11C2411yescharacteristic
496C22×Dic11C2411yescharacteristic
497C22×Dic11C2411yescharacteristic
498C22×Dic11C2411yescharacteristic
499C22×Dic11C2411yescharacteristic
500C22×Dic11C2411yescharacteristic
501C22×Dic11C2411yescharacteristic
502C22×Dic11C2411yescharacteristic
503C22×Dic11C2411yescharacteristic
504C22×Dic11C2411yescharacteristic
505C22×Dic11C2411yescharacteristic
506C22×Dic11C2411yescharacteristic
507C22×Dic11C2411yescharacteristic
508#4341—416no—
509C2×C4×D11—22no—
510C2×C4×D11—41no—
511C2×C4×D11—41no—
512C2×C4×D11—41no—
513C2×C4×D11—41no—
514C2×C4×D11—41no—
515C2×C4×D11—41no—
516C2×C4×D11—41no—
517C2×C4×D11C22×C414yescomplemented
518C2×Dic22—41no—
519C2×Dic22—41no—
520C2×Dic22C22×C414yescomplemented
521C11×C22⋊C4—22no—
522C11×C22⋊C4—22no—
523C11×C22⋊C4—22no—
524C11×C22⋊C4—22no—
525C11×C22⋊C4—41no—
526C11×C22⋊C4—41no—
527C11×C22⋊C4—41no—
528C11×C22⋊C4—41no—
529C11×C22⋊C4—41no—
530C11×C22⋊C4—41no—
531C11×C22⋊C4—41no—
532C11×C22⋊C4—41no—
533C22⋊Dic11—22no—
534C22⋊Dic11—22no—
535C22⋊Dic11—22no—
536C22⋊Dic11—22no—
537C22⋊Dic11—22no—
538C22⋊Dic11—22no—
539C22⋊Dic11—41no—
540C22⋊Dic11—41no—
541C22⋊Dic11—41no—
542C22⋊Dic11—41no—
543C22⋊Dic11—41no—
544C22⋊Dic11—41no—
545C22⋊Dic11—41no—
546C22⋊Dic11—41no—
547C22⋊Dic11—41no—
548C22⋊Dic11—41no—
549C22⋊Dic11C22×C414yes—
550C22⋊Dic11C22×C414yes—
551C22⋊Dic11C22×C414yes—
552C22⋊Dic11C22×C414yes—
553C22⋊Dic11C22×C414yes—
554C22⋊Dic11C22×C414yes—
555C22⋊Dic11C22×C414yes—
556C22⋊Dic11C22×C414yescomplemented
557C22⋊Dic11C22×C414yescomplemented
558C22⋊Dic11C22×C414yescomplemented
559C22⋊Dic11C22×C414yescomplemented
560(C2×D11)⋊C4—41no—
561(C2×D11)⋊C4—41no—
562(C2×D11)⋊C4—41no—
563(C2×D11)⋊C4—41no—
564(C2×D11)⋊C4—41no—
565(C2×D11)⋊C4—41no—
566(C2×D11)⋊C4C22×C414yescomplemented
567C4⋊Dic11—41no—
568C4⋊Dic11—41no—
569C4⋊Dic11C22×C414yescomplemented
570Dic11⋊C4—22no—
571Dic11⋊C4—22no—
572Dic11⋊C4—41no—
573Dic11⋊C4—41no—
574Dic11⋊C4—41no—
575Dic11⋊C4—41no—
576Dic11⋊C4—41no—
577Dic11⋊C4—41no—
578Dic11⋊C4—41no—
579Dic11⋊C4—41no—
580Dic11⋊C4—41no—
581Dic11⋊C4—41no—
582Dic11⋊C4—41no—
583Dic11⋊C4—41no—
584Dic11⋊C4—41no—
585Dic11⋊C4—41no—
586Dic11⋊C4—41no—
587Dic11⋊C4—41no—
588Dic11⋊C4C22×C414yescomplemented
589Dic11⋊C4C22×C414yescomplemented
590Dic11⋊C4C22×C414yescomplemented
591C4×Dic11—22no—
592C4×Dic11—41no—
593C4×Dic11—41no—
594C4×Dic11—41no—
595C4×Dic11—41no—
596C4×Dic11—41no—
597C4×Dic11—41no—
598C4×Dic11—41no—
599C4×Dic11—41no—
600C4×Dic11—41no—
601C4×Dic11—41no—
602C4×Dic11—41no—
603C4×Dic11C22×C414yescomplemented
604C2×#546—111no—
605#2379—111no—
606#2377—111no—
607#2377—111no—
608#2376—111no—
609#2368—111no—
610#2361—111no—
611#2359—111no—
612#2358—111no—
613#2358—111no—
614#2352—111no—
615#2349—111no—
616#2342—111no—
617#2342—111no—
618#2339—111no—
619D4×C22⋊C4—111no—
620#2337—111no—
621#2335—111no—
622#2329—111no—
623#2325—111no—
624#2325—111no—
625#2324—111no—
626#2322—111no—
627#2321—111no—
628#2318—111no—
629#2318—111no—
630#2315—111no—
631#2311—111no—
632C4×#120—111no—
633C2×#386D1111yescharacteristic, complemented
634C2×#385—111no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—28no—
644C23×C11—28no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11—28no—
664C23×C11—44no—
665C23×C11—44no—
666C23×C11—44no—
667C23×C11—44no—
668C23×C11—44no—
669C23×C11—44no—
670C23×C11—44no—
671C23×C11—82no—
672C23×C11—82no—
673C23×C11—82no—
674C23×C11—82no—
675C23×C11C23×C412yes—
676C23×C11C23×C412yes—
677C23×C11C23×C412yes—
678C23×C11C23×C412yes—
679C23×C11C23×C412yes—
680C23×C11H(5,𝔽2)12yes—
681C23×C11H(5,𝔽2)12yes—
682C23×C11H(5,𝔽2)12yes—
683C23×C112−1+412yes—
684C23×C11C2511yescharacteristic
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—21no—
691C22×D11C23×C412yes—
692D4×C11—28no—
693D4×C11—28no—
694D4×C11—44no—
695D4×C11—44no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—44no—
724C2×C4×C11—44no—
725C2×C4×C11—44no—
726C2×C4×C11—44no—
727C2×C4×C11—44no—
728C2×C4×C11—44no—
729C2×C4×C11—44no—
730C2×C4×C11—82no—
731C2×C4×C11—82no—
732C2×C4×C11C23×C412yes—
733C2×C4×C11C23×C412yes—
734C2×C4×C11H(5,𝔽2)12yes—
735C22⋊D11—28no—
736C22⋊D11—28no—
737C22⋊D11—44no—
738C22⋊D11—44no—
739C22⋊D11—44no—
740C2×Dic11—28no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—44no—
780C2×Dic11—44no—
781C2×Dic11—44no—
782C2×Dic11—82no—
783C2×Dic11—82no—
784C2×Dic11—82no—
785C2×Dic11—82no—
786C2×Dic11C23×C412yes—
787C2×Dic11C23×C412yes—
788C2×Dic11C23×C412yes—
789C2×Dic11C23×C412yes—
790C2×Dic11C23×C412yes—
791C2×Dic11C23×C412yes—
792C2×Dic11C23×C412yes—
793C4×D11—44no—
794C4×D11—82no—
795C4×D11—82no—
796Dic22—44no—
797C22×#41—111no—
798C23×D4C2×D1111yescharacteristic
799C24×C4C2×D1111yescharacteristic
800#546—1116no—
801C2×#124—111no—
802C2×#123—111no—
803C2×#123—111no—
804C2×C22⋊Q8—111no—
805C2×#121—111no—
806C2×#121—111no—
807C2×#121—111no—
808C2×#120—111no—
809C2×#120—111no—
810C2×C4×D4—111no—
811C2×C4×D4—111no—
812C2×C4×D4—111no—
813C2×C4×D4—111no—
814C2×C4×D4—111no—
815C2×C4×D4—111no—
816C2×C4×D4—111no—
817C2×C4×D4—111no—
818C2×C4×D4—111no—
819C2×C4×D4—111no—
820C2×#117—111no—
821C2×#117—111no—
822C22×C4⋊C4—111no—
823C22×C4⋊C4—111no—
824C22×C22⋊C4—111no—
825C22×C22⋊C4—111no—
826C22×C22⋊C4—111no—
827C22×C22⋊C4—111no—
828C22×C22⋊C4C2×D1111yescharacteristic
829C22×C22⋊C4C2×D1111yescharacteristic
830C22×C22⋊C4C2×D1111yescharacteristic
831#391—111no—
832#391—111no—
833#391—111no—
834#391—111no—
835#390—111no—
836#390—111no—
837#390—111no—
838#390—111no—
839#390—111no—
840#390—111no—
841#389—111no—
842#389—111no—
843#389—111no—
844#389—111no—
845#388—111no—
846#388—111no—
847#388—111no—
848#388—111no—
849#388—111no—
850#388—111no—
851#388—111no—
852#388—111no—
853#388—111no—
854#388—111no—
855#388—111no—
856#388—111no—
857#388—111no—
858#388—111no—
859#388—111no—
860#388—111no—
861#388—111no—
862#388—111no—
863#387—111no—
864#387—111no—
865#387—111no—
866#387—111no—
867#387—111no—
868#387—111no—
869#387—111no—
870#387—111no—
871#387—111no—
872#387—111no—
873#386—111no—
874#386—111no—
875#386—111no—
876#386—111no—
877#386—111no—
878#386—111no—
879#386—111no—
880#386—111no—
881#386—111no—
882#386—111no—
883#386—111no—
884#386—111no—
885#386—111no—
886#386—111no—
887#386C2×D1111yescharacteristic
888#386C2×D1111yescharacteristic
889#386C2×D1111yescharacteristic
890#386C2×D1111yescharacteristic
891#386C2×D1111yescharacteristic
892#386C2×D1111yescharacteristic
893#386C2×D1111yescharacteristic
894#386C2×D1111yescharacteristic
895#385—111no—
896#385—111no—
897#385—111no—
898#385—111no—
899#385—111no—
900#385—111no—
901#385—111no—
902#385—111no—
903#385—111no—
904#385—111no—
905#385—111no—
906#385—111no—
907#385—111no—
908#385—111no—
909#385—111no—
910#385—111no—
911#385—111no—
912#385—111no—
913#385—111no—
914#385—111no—
915#385—111no—
916#385—111no—
917#383—111no—
918#382—111no—
919#382—111no—
920#381—111no—
921#381—111no—
922#381—111no—
923#380—111no—
924#380—111no—
925#380—111no—
926#380—111no—
927#380—111no—
928#380—111no—
929#380—111no—
930#380—111no—
931#380—111no—
932#379—111no—
933#379—111no—
934C4×C4⋊C4—111no—
935C4×C4⋊C4—111no—
936C4×C4⋊C4—111no—
937C4×C22⋊C4—111no—
938C4×C22⋊C4—111no—
939C4×C22⋊C4—111no—
940C4×C22⋊C4—111no—
941C4×C22⋊C4—111no—
942C4×C22⋊C4—111no—
943C4×C22⋊C4—111no—
944C4×C22⋊C4—111no—
945C4×C22⋊C4—111no—
946C4×C22⋊C4—111no—
947C4×C22⋊C4—111no—
948C2×#95—111no—
949C2×#95—111no—
950C2×#95—111no—
951C2×#95C2×D1111yescharacteristic
952C2×#95C2×D1111yescharacteristic
953C22×C11—22no—
954C22×C11—22no—
955C22×C11—22no—
956C22×C11—22no—
957C22×C11—22no—
958C22×C11—22no—
959C22×C11—22no—
960C22×C11—22no—
961C22×C11—22no—
962C22×C11—22no—
963C22×C11—22no—
964C22×C11—22no—
965C22×C11—22no—
966C22×C11—22no—
967C22×C11—22no—
968C22×C11—22no—
969C22×C11—22no—
970C22×C11—22no—
971C22×C11—22no—
972C22×C11—22no—
973C22×C11—22no—
974C22×C11—416no—
975C22×C11—41no—
976C22×C11—41no—
977C22×C11—41no—
978C22×C11—41no—
979C22×C11—41no—
980C22×C11—41no—
981C22×C11—41no—
982C22×C11—41no—
983C22×C11—41no—
984C22×C11—41no—
985C22×C11—41no—
986C22×C11—41no—
987C22×C11—88no—
988C22×C11#51814yes—
989C22×C11#52014yes—
990C22×C11C24×C411yescharacteristic
991C22×C11C2×H(5,𝔽2)11yescharacteristic
992C22×C11C2×H(5,𝔽2)11yescharacteristic
993C22×C11C2×H(5,𝔽2)11yescharacteristic
994C22×C11C2×H(5,𝔽2)11yescharacteristic
995C22×C11C2×2−1+411yescharacteristic
996C22×C11#58511yescharacteristic
997C2×D11—22no—
998C2×D11—22no—
999C2×D11—22no—
1000C2×D11—41no—
1001C2×D11—41no—
1002C2×D11—41no—
1003C2×D11—41no—
1004C4×C11—22no—
1005C4×C11—22no—
1006C4×C11—22no—
1007C4×C11—41no—
1008C4×C11—41no—
1009C4×C11—41no—
1010C4×C11—41no—
1011C4×C11—41no—
1012C4×C11—41no—
1013C4×C11—41no—
1014Dic11—22no—
1015Dic11—22no—
1016Dic11—22no—
1017Dic11—22no—
1018Dic11—22no—
1019Dic11—22no—
1020Dic11—22no—
1021Dic11—41no—
1022Dic11—41no—
1023Dic11—41no—
1024Dic11—41no—
1025Dic11—41no—
1026Dic11—41no—
1027Dic11—41no—
1028Dic11—41no—
1029C25C22×D1111yescharacteristic
1030C25C22×D1111yescharacteristic
1031C2×#41—118no—
1032C2×#41—442no—
1033C2×#41—442no—
1034C22×Q8—111no—
1035C22×D4—42no—
1036C22×D4—42no—
1037C22×D4—111no—
1038C22×D4—111no—
1039C22×D4—111no—
1040C22×D4—111no—
1041C22×D4—111no—
1042C22×D4C4×D1118yescomplemented
1043C22×D4C22×D1111yescharacteristic
1044C22×D4C22×D1111yescharacteristic
1045C22×D4C22×D1111yescharacteristic
1046C22×D4C22×D1111yescharacteristic
1047C23×C4—42no—
1048C23×C4—42no—
1049C23×C4—42no—
1050C23×C4—111no—
1051C23×C4—111no—
1052C23×C4—111no—
1053C23×C4—111no—
1054C23×C4—111no—
1055C23×C4—111no—
1056C23×C4—111no—
1057C23×C4—111no—
1058C23×C4—111no—
1059C23×C4—111no—
1060C23×C4—111no—
1061C23×C4C22×D1111yescharacteristic
1062C23×C4C22×D1111yescharacteristic
1063C23×C4C22×D1111yescharacteristic
1064C23×C4C22×D1111yescharacteristic
1065C23×C4C22×D1111yescharacteristic
1066C23×C4C22×D1111yescharacteristic
1067C23×C4C22×D1111yescharacteristic
1068C23×C4C22×D1111yescharacteristic
1069C23×C4C22×D1111yescharacteristic
1070#124—118no—
1071#123—118no—
1072#123—118no—
1073C22⋊Q8—118no—
1074#121—118no—
1075#121—118no—
1076#121—118no—
1077#120—118no—
1078#120—118no—
1079C4×D4—118no—
1080C4×D4—118no—
1081C4×D4—442no—
1082C4×D4—442no—
1083C4×D4—442no—
1084C4×D4—442no—
1085C4×D4—442no—
1086C4×D4—442no—
1087C4×D4—442no—
1088C4×D4—442no—
1089#117—442no—
1090#117—442no—
1091C2×C4⋊C4—111no—
1092C2×C4⋊C4—111no—
1093C2×C4⋊C4—111no—
1094C2×C4⋊C4—111no—
1095C2×C4⋊C4—111no—
1096C2×C4⋊C4—111no—
1097C2×C4⋊C4—111no—
1098C2×C4⋊C4—111no—
1099C2×C4⋊C4—111no—
1100C2×C4⋊C4—111no—
1101C2×C4⋊C4—111no—
1102C2×C4⋊C4—111no—
1103C2×C4⋊C4—111no—
1104C2×C4⋊C4—111no—
1105C2×C4⋊C4—111no—
1106C2×C4⋊C4—111no—
1107C2×C4⋊C4—111no—
1108C2×C4⋊C4—111no—
1109C2×C4⋊C4—111no—
1110C2×C4⋊C4—111no—
1111C2×C4⋊C4—111no—
1112C2×C4⋊C4—111no—
1113C2×C4⋊C4—111no—
1114C2×C4⋊C4—111no—
1115C2×C4⋊C4—442no—
1116C2×C4⋊C4—442no—
1117C2×C22⋊C4—42no—
1118C2×C22⋊C4—42no—
1119C2×C22⋊C4—42no—
1120C2×C22⋊C4—118no—
1121C2×C22⋊C4—118no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—111no—
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—442no—
1157C2×C22⋊C4—442no—
1158C2×C22⋊C4C22×D1111yescharacteristic
1159C2×C22⋊C4C22×D1111yescharacteristic
1160C2×C22⋊C4C22×D1111yescharacteristic
1161C2×C22⋊C4C22×D1111yescharacteristic
1162C2×C22⋊C4C22×D1111yescharacteristic
1163C2×C22⋊C4C22×D1111yescharacteristic
1164C2×C22⋊C4C22×D1111yescharacteristic
1165C2×C22⋊C4C22×D1111yescharacteristic
1166C2×C22⋊C4C22×D1111yescharacteristic
1167C2×C22⋊C4C22×D1111yescharacteristic
1168C2×C22⋊C4C22×D1111yescharacteristic
1169C2×C22⋊C4C22×D1111yescharacteristic
1170C2×C42—111no—
1171C2×C42—111no—
1172C2×C42—111no—
1173C2×C42—111no—
1174C2×C42—111no—
1175C2×C42—111no—
1176C2×C42—111no—
1177C2×C42—111no—
1178C2×C42—111no—
1179C2×C42—111no—
1180C2×C42—111no—
1181C2×C42—111no—
1182C2×C42—111no—
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95—111no—
1193#95—111no—
1194#95—111no—
1195#95—111no—
1196#95—111no—
1197#95—111no—
1198#95—111no—
1199#95—111no—
1200#95—111no—
1201#95—111no—
1202#95—111no—
1203#95—111no—
1204#95—111no—
1205#95—111no—
1206#95—111no—
1207#95—111no—
1208#95—111no—
1209#95—111no—
1210#95—111no—
1211#95—111no—
1212#95—111no—
1213#95—111no—
1214#95—111no—
1215#95C22×D1111yescharacteristic
1216#95C22×D1111yescharacteristic
1217#95C22×D1111yescharacteristic
1218#95C22×D1111yescharacteristic
1219#95C22×D1111yescharacteristic
1220#95C22×D1111yescharacteristic
1221#95C22×D1111yescharacteristic
1222#95C22×D1111yescharacteristic
1223C2×C11—24no—
1224C2×C11—24no—
1225C2×C11—42no—
1226C2×C11—42no—
1227C2×C11—42no—
1228C2×C11C2×#51811yescharacteristic
1229C2×C11C2×#52011yescharacteristic
1230C2×C11C4×H(5,𝔽2)11yescharacteristic
1231C2×C11#353211yescharacteristic
1232C2×C11#353411yescharacteristic
1233C2×C11#353511yescharacteristic
1234C2×C11#353611yescharacteristic
1235D11—42no—
1236C24—22no—
1237C24—22no—
1238C24—22no—
1239C24—22no—
1240C24—22no—
1241C24—22no—
1242C24—41no—
1243C24—41no—
1244C24—41no—
1245C24—41no—
1246C24—41no—
1247C24—41no—
1248C24—111no—
1249C24C2×C4×D1114yes—
1250C24C2×C4×D1114yes—
1251C24C23×D1111yescharacteristic
1252C24C23×D1111yescharacteristic
1253C24C23×D1111yescharacteristic
1254C24C23×D1111yescharacteristic
1255C24C23×D1111yescharacteristic
1256#41—4416no—
1257C2×Q8—114no—
1258C2×Q8—441no—
1259C2×Q8—441no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—416no—
1269C2×D4—114no—
1270C2×D4—114no—
1271C2×D4—114no—
1272C2×D4—114no—
1273C2×D4—114no—
1274C2×D4—222no—
1275C2×D4—222no—
1276C2×D4—222no—
1277C2×D4—222no—
1278C2×D4—441no—
1279C2×D4—441no—
1280C2×D4—441no—
1281C2×D4—441no—
1282C2×D4—441no—
1283C2×D4—441no—
1284C2×D4C2×C4×D1114yes—
1285C2×D4C2×C4×D1114yes—
1286C2×D4C2×C4×D1114yes—
1287C2×D4C2×C4×D1114yes—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—416no—
1315C22×C4—114no—
1316C22×C4—111no—
1317C22×C4—111no—
1318C22×C4—111no—
1319C22×C4—111no—
1320C22×C4—111no—
1321C22×C4—111no—
1322C22×C4—111no—
1323C22×C4—114no—
1324C22×C4—114no—
1325C22×C4—114no—
1326C22×C4—114no—
1327C22×C4—111no—
1328C22×C4—111no—
1329C22×C4—111no—
1330C22×C4—111no—
1331C22×C4—111no—
1332C22×C4—111no—
1333C22×C4—111no—
1334C22×C4—111no—
1335C22×C4—222no—
1336C22×C4—222no—
1337C22×C4—222no—
1338C22×C4—222no—
1339C22×C4—222no—
1340C22×C4—441no—
1341C22×C4—441no—
1342C22×C4—441no—
1343C22×C4—441no—
1344C22×C4—441no—
1345C22×C4—441no—
1346C22×C4—441no—
1347C22×C4—441no—
1348C22×C4—441no—
1349C22×C4—441no—
1350C22×C4—441no—
1351C22×C4—441no—
1352C22×C4—441no—
1353C22×C4—441no—
1354C22×C4—441no—
1355C22×C4—441no—
1356C22×C4—441no—
1357C22×C4—441no—
1358C22×C4—441no—
1359C22×C4—441no—
1360C22×C4—441no—
1361C22×C4—441no—
1362C22×C4—441no—
1363C22×C4C2×C4×D1114yes—
1364C22×C4C23×D1111yescharacteristic
1365C22×C4C23×D1111yescharacteristic
1366C22×C4C23×D1111yescharacteristic
1367C22×C4C23×D1111yescharacteristic
1368C22×C4C23×D1111yescharacteristic
1369C22×C4C23×D1111yescharacteristic
1370C22×C4C23×D1111yescharacteristic
1371C22×C4C23×D1111yescharacteristic
1372C22×C4C23×D1111yescharacteristic
1373C22×C4C23×D1111yescharacteristic
1374C4⋊C4—114no—
1375C4⋊C4—114no—
1376C4⋊C4—114no—
1377C4⋊C4—114no—
1378C4⋊C4—222no—
1379C4⋊C4—222no—
1380C4⋊C4—441no—
1381C4⋊C4—441no—
1382C4⋊C4—441no—
1383C4⋊C4—441no—
1384C4⋊C4—441no—
1385C4⋊C4—441no—
1386C4⋊C4—441no—
1387C4⋊C4—441no—
1388C4⋊C4—441no—
1389C4⋊C4—441no—
1390C4⋊C4—441no—
1391C4⋊C4—441no—
1392C4⋊C4—441no—
1393C4⋊C4—441no—
1394C4⋊C4—441no—
1395C4⋊C4—441no—
1396C4⋊C4—441no—
1397C4⋊C4—441no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—114no—
1411C22⋊C4—114no—
1412C22⋊C4—114no—
1413C22⋊C4—114no—
1414C22⋊C4—114no—
1415C22⋊C4—114no—
1416C22⋊C4—114no—
1417C22⋊C4—114no—
1418C22⋊C4—114no—
1419C22⋊C4—114no—
1420C22⋊C4—114no—
1421C22⋊C4—114no—
1422C22⋊C4—222no—
1423C22⋊C4—222no—
1424C22⋊C4—222no—
1425C22⋊C4—222no—
1426C22⋊C4—222no—
1427C22⋊C4—222no—
1428C22⋊C4—441no—
1429C22⋊C4—441no—
1430C22⋊C4—441no—
1431C22⋊C4—441no—
1432C22⋊C4—441no—
1433C22⋊C4—441no—
1434C22⋊C4—441no—
1435C22⋊C4—441no—
1436C22⋊C4—441no—
1437C22⋊C4—441no—
1438C22⋊C4—441no—
1439C22⋊C4—441no—
1440C22⋊C4—441no—
1441C22⋊C4—441no—
1442C22⋊C4—441no—
1443C22⋊C4—441no—
1444C42—114no—
1445C42—222no—
1446C42—441no—
1447C42—441no—
1448C42—441no—
1449C42—441no—
1450C42—441no—
1451C42—441no—
1452C42—441no—
1453C42—441no—
1454C42—441no—
1455C42—441no—
1456C42—441no—
1457C11#3445611yescharacteristic, complemented, Sylow
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—28no—
1467C23—28no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—28no—
1487C23—44no—
1488C23—44no—
1489C23—44no—
1490C23—44no—
1491C23—44no—
1492C23—44no—
1493C23—44no—
1494C23—82no—
1495C23—82no—
1496C23—82no—
1497C23—82no—
1498C23—112no—
1499C23—221no—
1500C23—221no—
1501C23—221no—
1502C23—221no—
1503C23—221no—
1504C23—221no—
1505C23C22×C4×D1112yes—
1506C23C22×C4×D1112yes—
1507C23C22×C4×D1112yes—
1508C23C22×C4×D1112yes—
1509C23C22×C4×D1112yes—
1510C23#6703712yes—
1511C23#6703712yes—
1512C23#6703712yes—
1513C23#6704312yes—
1514C23C24×D1111yescharacteristic
1515Q8—444no—
1516D4—28no—
1517D4—28no—
1518D4—44no—
1519D4—44no—
1520D4—228no—
1521D4—228no—
1522D4—444no—
1523D4—444no—
1524D4—444no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—44no—
1553C2×C4—44no—
1554C2×C4—44no—
1555C2×C4—44no—
1556C2×C4—44no—
1557C2×C4—44no—
1558C2×C4—44no—
1559C2×C4—82no—
1560C2×C4—82no—
1561C2×C4—112no—
1562C2×C4—112no—
1563C2×C4—112no—
1564C2×C4—112no—
1565C2×C4—112no—
1566C2×C4—112no—
1567C2×C4—112no—
1568C2×C4—228no—
1569C2×C4—221no—
1570C2×C4—221no—
1571C2×C4—221no—
1572C2×C4—221no—
1573C2×C4—221no—
1574C2×C4—221no—
1575C2×C4—221no—
1576C2×C4—221no—
1577C2×C4—221no—
1578C2×C4—221no—
1579C2×C4—221no—
1580C2×C4—221no—
1581C2×C4—221no—
1582C2×C4—221no—
1583C2×C4—221no—
1584C2×C4—221no—
1585C2×C4—221no—
1586C2×C4—221no—
1587C2×C4—221no—
1588C2×C4—221no—
1589C2×C4—221no—
1590C2×C4—221no—
1591C2×C4—221no—
1592C2×C4—221no—
1593C2×C4—221no—
1594C2×C4—221no—
1595C2×C4—221no—
1596C2×C4—221no—
1597C2×C4—221no—
1598C2×C4—221no—
1599C2×C4—221no—
1600C2×C4—221no—
1601C2×C4—221no—
1602C2×C4—221no—
1603C2×C4—221no—
1604C2×C4—221no—
1605C2×C4—221no—
1606C2×C4—221no—
1607C2×C4—444no—
1608C2×C4—444no—
1609C2×C4—444no—
1610C2×C4—444no—
1611C2×C4—882no—
1612C2×C4—882no—
1613C2×C4—882no—
1614C2×C4—882no—
1615C2×C4—882no—
1616C2×C4—882no—
1617C2×C4C22×C4×D1112yes—
1618C2×C4C22×C4×D1112yes—
1619C2×C4#6703712yes—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—416no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—88no—
1655C22—222no—
1656C22—222no—
1657C22—222no—
1658C22—441no—
1659C22—441no—
1660C22—441no—
1661C22—441no—
1662C22#1062301714yes—
1663C22#1062307714yes—
1664C22C23×C4×D1111yescharacteristic
1665C22C2×#6703711yescharacteristic
1666C22C2×#6703711yescharacteristic
1667C22C2×#6703711yescharacteristic
1668C22C2×#6703711yescharacteristic
1669C22C2×#6704311yescharacteristic
1670C22#1062345311yescharacteristic
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—222no—
1682C4—222no—
1683C4—222no—
1684C4—222no—
1685C4—222no—
1686C4—222no—
1687C4—222no—
1688C4—441no—
1689C4—441no—
1690C4—441no—
1691C4—441no—
1692C4—441no—
1693C4—441no—
1694C4—441no—
1695C4—441no—
1696C2—24no—
1697C2—24no—
1698C2—42no—
1699C2—42no—
1700C2—42no—
1701C2—442no—
1702C2C2×#1062301711yescharacteristic
1703C2C2×#1062307711yescharacteristic
1704C2C4×#6703711yescharacteristic
1705C2#1308277111yescharacteristic
1706C2#1308280611yescharacteristic
1707C2#1308282911yescharacteristic
1708C2#1308283811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC2×C11×#386C2
socle, cosocleC23×C11C25
prime radicalC2×#10623337C2
hypercenterC2×#386D11
hypocenterC11#34456
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
2. #13071786C2semidirect
3. #13071774C2semidirect
4. #13071768C2semidirect
5. #13071759C2semidirect
6. #13071696C2semidirect
7. #13071627C2semidirect
8. #13071614C2semidirect
9. #13071595C2semidirect
10. #13071595C2semidirect
11. #13071543C2semidirect
12. #13071523C2semidirect
13. #13071461C2semidirect
14. #13071461C2semidirect
15. #13071442C2semidirect
16. D4×C22⋊Dic11C2semidirect
17. #13071425C2semidirect
18. #13071407C2semidirect
19. #13071349C2semidirect
20. #13071318C2semidirect
21. #13071317C2semidirect
22. #13071306C2semidirect
23. #13071290C2semidirect
24. #13071274C2semidirect
25. #13071250C2semidirect
26. #13071242C2semidirect
27. #13071228C2semidirect
28. #13071203C2semidirect
29. C4×#67006C2semidirect
30. C2×#10622823C2semidirect
31. C2×C11×#386C2semidirect
44. #10623337C4semidirect
57. C2×C4×C22⋊D11C22semidirect
58. C2×C4×C22⋊D11C22semidirect
60. C22×Dic11⋊C4C22semidirect
61. C22×Dic11⋊C4C22semidirect
62. C2×(C22⋊D11)⋊C4C22semidirect
63. C2×(C22⋊D11)⋊C4C22semidirect
64. C2×#66930C22semidirect
65. C2×#66930C22semidirect
86. #10622826C22semidirect
87. #10622826C22semidirect
97. #10622823C22semidirect
98. #10622823C22semidirect
99. #10622823C22semidirect
100. #10622823C22semidirect
101. #10622823C22semidirect
102. #10622823C22semidirect
108. C4×C22⋊Dic11C22semidirect
109. C4×C22⋊Dic11C22semidirect
110. C2×C11⋊#95C22semidirect
111. C2×C11⋊#95C22semidirect
112. #10622571C22semidirect
113. #10622571C22semidirect
114. #10622570C22semidirect
115. #10622570C22semidirect
116. #10622570C22semidirect
117. #10622570C22semidirect
118. #10622569C22semidirect
119. #10622569C22semidirect
120. #10622569C22semidirect
121. #10622569C22semidirect
122. #10622559C22semidirect
123. #10622559C22semidirect
124. #10622559C22semidirect
125. #10622559C22semidirect
126. #10622559C22semidirect
127. #10622559C22semidirect
128. #10622558C22semidirect
129. #10622558C22semidirect
130. #10622558C22semidirect
131. #10622558C22semidirect
132. #10622558C22semidirect
133. #10622558C22semidirect
134. #10622558C22semidirect
135. #10622558C22semidirect
136. #10622557C22semidirect
137. #10622557C22semidirect
138. #10622557C22semidirect
139. #10622557C22semidirect
140. #10622557C22semidirect
141. #10622557C22semidirect
142. #10622557C22semidirect
143. #10622557C22semidirect
144. #10622556C22semidirect
145. #10622556C22semidirect
146. #10622555C22semidirect
147. #10622555C22semidirect
148. #10622555C22semidirect
149. #10622555C22semidirect
150. #10622555C22semidirect
151. #10622555C22semidirect
152. C22⋊C4×Dic11C22semidirect
153. C22⋊C4×Dic11C22semidirect
154. C22⋊C4×Dic11C22semidirect
155. C22⋊C4×Dic11C22semidirect
156. #10622282C22semidirect
157. #10622282C22semidirect
158. #10622281C22semidirect
159. #10622281C22semidirect
160. #10622280C22semidirect
161. #10622280C22semidirect
162. #10622277C22semidirect
163. D11×#95C22semidirect
164. #10622268C22semidirect
165. #10622268C22semidirect
166. #10622267C22semidirect
167. #10622267C22semidirect
168. #10622266C22semidirect
169. #10622266C22semidirect
170. #10622265C22semidirect
171. #10622265C22semidirect
172. #10622265C22semidirect
173. #10622265C22semidirect
174. #10622264C22semidirect
175. #10622263C22semidirect
176. #10622263C22semidirect
177. #10622262C22semidirect
178. #10622262C22semidirect
179. #10622262C22semidirect
180. #10622260C22semidirect
181. #10622260C22semidirect
182. #10622260C22semidirect
183. #10622260C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
192. C22×D4×C11C2×C4semidirect
224. C2×#4341C2×C4semidirect
244. #67006C2×C4semidirect
245. #67006C2×C4semidirect
248. C2×C22⋊Dic11C2×C4semidirect
249. C2×C22⋊Dic11C2×C4semidirect
277. #66992C2×C4semidirect
278. #66992C2×C4semidirect
279. #66991C2×C4semidirect
280. #66989C2×C4semidirect
281. #66988C2×C4semidirect
282. #66988C2×C4semidirect
285. D4×Dic11C2×C4semidirect
290. C4×C22⋊D11C2×C4semidirect
301. #66977C2×C4semidirect
467. C2×C22⋊D11C22×C4semidirect
468. C2×C22⋊D11C22×C4semidirect
491. C22×Dic11C22×C4semidirect
492. C22×Dic11C22×C4semidirect
517. C2×C4×D11C22×C4semidirect
520. C2×Dic22C22×C4semidirect
556. C22⋊Dic11C22×C4semidirect
557. C22⋊Dic11C22×C4semidirect
558. C22⋊Dic11C22×C4semidirect
559. C22⋊Dic11C22×C4semidirect
566. (C2×D11)⋊C4C22×C4semidirect
569. C4⋊Dic11C22×C4semidirect
588. Dic11⋊C4C22×C4semidirect
589. Dic11⋊C4C22×C4semidirect
590. Dic11⋊C4C22×C4semidirect
603. C4×Dic11C22×C4semidirect
633. C2×#386D11semidirect
1042. C22×D4C4×D11semidirect
1457. C11#34456semidirect

Maximal subgroups

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

subgroupindex
C2×#106233372
#130717862
#130717742
#130717682
#130717592
#130716962
#130716272
#130716142
#130715952
#130715432
#130715232
#130714612
#130714422
D4×C22⋊Dic112
#130714252
#130714072
#130713492
#130713182
#130713172
#130713062
#130712902
#130712742
#130712502
#130712422
#130712282
#130712032
C4×#670062
C2×#106228232
C2×C11×#3862
#3445611