Finite Group Databasebeta

← #14921953

Subgroups — #14921953

Order 2816.

2992 conjugacy classes of subgroups.

The subgroup lattice has 1720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623069C211yesmaximal, characteristic, complemented
2C2×C4×D4×D11C211yesmaximal, characteristic, complemented
3#13072865C211yesmaximal, characteristic, complemented
4#13072857C211yesmaximal, characteristic, complemented
5#13072685C211yesmaximal, characteristic, complemented
6#13072677C211yesmaximal, characteristic, complemented
7#13072524C211yesmaximal, characteristic, complemented
8#13072516C211yesmaximal, characteristic, complemented
9#13072481C211yesmaximal, characteristic, complemented
10#13072396C211yesmaximal, characteristic, complemented
11#13072335C211yesmaximal, characteristic, complemented
12#13072262C211yesmaximal, characteristic, complemented
13#13072186C211yesmaximal, characteristic, complemented
14#13072101C211yesmaximal, characteristic, complemented
15#13072073C211yesmaximal, characteristic, complemented
16#13072071C211yesmaximal, characteristic, complemented
17#13072060C211yesmaximal, characteristic, complemented
18#13071965C211yesmaximal, characteristic
19#13071879C211yesmaximal, characteristic, complemented
20#13071875C211yesmaximal, characteristic, complemented
21#13071860C211yesmaximal, characteristic, complemented
22C4×#66938C211yesmaximal, characteristic, complemented
23C4×#66949C211yesmaximal, characteristic, complemented
24C4×#66992C211yesmaximal, characteristic, complemented
25C4×#66990C211yesmaximal, characteristic, complemented
26C4×#66990C211yesmaximal, characteristic, complemented
27#13071075C211yesmaximal, characteristic, complemented
28#13070997C211yesmaximal, characteristic, complemented
29#13070995C211yesmaximal, characteristic, complemented
30C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
31C11×#2392C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C2×C4×D4×C11C2211yescharacteristic, complemented
37C2×C4×D4×C11C2211yescharacteristic, complemented
38C2×C11×#117C2211yescharacteristic, complemented
39C2×#66992C2211yescharacteristic
40C2×#66992C2211yescharacteristic
41C2×#66990C2211yescharacteristic
42C2×#66990C2211yescharacteristic
43C2×#66988C2211yescharacteristic, complemented
44C2×D4×Dic11C2211yescharacteristic
45C2×C4×C22⋊D11C2211yescharacteristic
46C2×C4×C22⋊D11C2211yescharacteristic
47C2×C4×C22⋊D11C2211yescharacteristic
48C2×C4×C22⋊D11C2211yescharacteristic, complemented
49C2×C4×C22⋊D11C2211yescharacteristic, complemented
50C2×#66979C2211yescharacteristic, complemented
51C22×C4×Dic11C2211yescharacteristic, complemented
52C4×D4×D11—28no—
53#10623069—28no—
54C2×#66951C2211yescharacteristic, complemented
55C2×#66949C2211yescharacteristic
56C2×#66946C2211yescharacteristic
57C2×C4⋊C4×D11C2211yescharacteristic
58C2×#66942C2211yescharacteristic, complemented
59C2×#66939C2211yescharacteristic, complemented
60C2×#66938C2211yescharacteristic
61C2×#66938C2211yescharacteristic
62C2×(C22⋊D11)⋊C4C2211yescharacteristic
63C2×(C22⋊D11)⋊C4C2211yescharacteristic
64C2×(C22⋊D11)⋊C4C2211yescharacteristic
65C2×(C22⋊D11)⋊C4C2211yescharacteristic
66C2×C22⋊C4×D11C2211yescharacteristic
67C2×C22⋊C4×D11C2211yescharacteristic
68C2×#66932C2211yescharacteristic, complemented
69C2×#66931C2211yescharacteristic, complemented
70C2×C4×D44C2211yescharacteristic
71C2×#66925C2211yescharacteristic, complemented
72C2×#66925C2211yescharacteristic, complemented
73C2×C42×D11C2211yescharacteristic
74C2×C4×Dic22C2211yescharacteristic, complemented
75C11×#398C2211yescharacteristic, complemented
76C11×#397C2211yescharacteristic, complemented
77C11×#396C2211yescharacteristic, complemented
78C11×#396C2211yescharacteristic, complemented
79C11×#394C2211yescharacteristic
80C11×#394C2211yescharacteristic, complemented
81C11×#394C2211yescharacteristic, complemented
82C11×#392C2211yescharacteristic
83C4×C11×C4⋊C4C2211yescharacteristic, complemented
84C4×C11×C22⋊C4C2211yescharacteristic, complemented
85C4×C11×C22⋊C4C2211yescharacteristic, complemented
86#10622835C2211yescharacteristic
87#10622835C2211yescharacteristic
88#10622833C2211yescharacteristic, complemented
89#10622833C2211yescharacteristic, complemented
90#10622833C2211yescharacteristic, complemented
91C4×C22⋊Dic11C2211yescharacteristic, complemented
92C4×C22⋊Dic11C2211yescharacteristic, complemented
93C4×C22⋊Dic11C2211yescharacteristic, complemented
94#10622606C2211yescharacteristic, complemented
95#10622605C2211yescharacteristic, complemented
96#10622604C2211yescharacteristic
97#10622603C2211yescharacteristic, complemented
98#10622603C2211yescharacteristic, complemented
99#10622603C2211yescharacteristic, complemented
100#10622602C2211yescharacteristic
101#10622602C2211yescharacteristic
102#10622602C2211yescharacteristic
103#10622602C2211yescharacteristic, complemented
104#10622602C2211yescharacteristic, complemented
105#10622600C2211yescharacteristic
106#10622600C2211yescharacteristic
107#10622600C2211yescharacteristic, complemented
108#10622600C2211yescharacteristic, complemented
109#10622599C2211yescharacteristic, complemented
110#10622597C2211yescharacteristic, complemented
111#10622596C2211yescharacteristic, complemented
112#10622594C2211yescharacteristic, complemented
113#10622585C2211yescharacteristic, complemented
114#10622585C2211yescharacteristic, complemented
115#10622585C2211yescharacteristic, complemented
116#10622585C2211yescharacteristic, complemented
117#10622573C2211yescharacteristic
118#10622572C2211yescharacteristic, complemented
119#10622572C2211yescharacteristic, complemented
120#10622571C2211yescharacteristic, complemented
121#10622570C2211yescharacteristic
122#10622570C2211yescharacteristic
123#10622570C2211yescharacteristic
124#10622570C2211yescharacteristic
125#10622569C2211yescharacteristic
126#10622569C2211yescharacteristic
127#10622569C2211yescharacteristic, complemented
128#10622569C2211yescharacteristic, complemented
129#10622568C2211yescharacteristic
130#10622568C2211yescharacteristic
131#10622568C2211yescharacteristic
132#10622568C2211yescharacteristic
133#10622568C2211yescharacteristic
134#10622568C2211yescharacteristic
135#10622566C2211yescharacteristic, complemented
136#10622565C2211yescharacteristic, complemented
137#10622565C2211yescharacteristic, complemented
138#10622564C2211yescharacteristic, complemented
139#10622562C2211yescharacteristic, complemented
140#10622561C2211yescharacteristic, complemented
141#10622559C2211yescharacteristic, complemented
142#10622559C2211yescharacteristic, complemented
143#10622558C2211yescharacteristic, complemented
144#10622558C2211yescharacteristic, complemented
145#10622558C2211yescharacteristic, complemented
146#10622557C2211yescharacteristic, complemented
147#10622556C2211yescharacteristic, complemented
148#10622556C2211yescharacteristic, complemented
149#10622555C2211yescharacteristic, complemented
150#10622555C2211yescharacteristic, complemented
151#10622555C2211yescharacteristic, complemented
152C22⋊C4×Dic11C2211yescharacteristic, complemented
153C22⋊C4×Dic11C2211yescharacteristic, complemented
154C4×(C2×D11)⋊C4C2211yescharacteristic
155C4×(C2×D11)⋊C4C2211yescharacteristic
156C4×(C2×D11)⋊C4C2211yescharacteristic
157C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
159C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
161C4×Dic11⋊C4C2211yescharacteristic, complemented
162C4×Dic11⋊C4C2211yescharacteristic, complemented
163C4×Dic11⋊C4C2211yescharacteristic, complemented
164C42×Dic11C2211yescharacteristic, complemented
165#10622289C2211yescharacteristic, complemented
166#10622288C2211yescharacteristic, complemented
167#10622288C2211yescharacteristic, complemented
168#10622288C2211yescharacteristic, complemented
169#10622285C2211yescharacteristic
170#10622285C2211yescharacteristic
171#10622283C2211yescharacteristic, complemented
172#10622282C2211yescharacteristic, complemented
173#10622281C2211yescharacteristic
174#10622280C2211yescharacteristic
175#10622280C2211yescharacteristic
176#10622280C2211yescharacteristic
177#10622279C2211yescharacteristic
178#10622279C2211yescharacteristic
179#10622277C2211yescharacteristic, complemented
180#10622277C2211yescharacteristic, complemented
181#10622273C2211yescharacteristic, complemented
182#10622270C2211yescharacteristic, complemented
183#10622265C2211yescharacteristic, complemented
184#10622263C2211yescharacteristic, complemented
185#10622262C2211yescharacteristic, complemented
186#10622262C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C2×D4×D11—24no—
207C2×D4×D11—24no—
208C2×D4×D11—24no—
209C22×D44C2311yescharacteristic
210C22×C4×D11—24no—
211C22×C4×D11—24no—
212C22×C4×D11—24no—
213C22×C4×D11—24no—
214C22×C4×D11—42no—
215C22×C4×D11—42no—
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×Dic22C2311yescharacteristic
226C4×D4×C11—24no—
227C4×D4×C11—24no—
228C4×D4×C11—42no—
229C11×#117—42no—
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊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
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C42×C11C2311yescharacteristic
250C2×C42×C11C2311yescharacteristic
251C2×C42×C11C2311yescharacteristic
252C2×C42×C11C2311yescharacteristic
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
266#66992—24no—
267#66992—24no—
268#66990—24no—
269#66990—24no—
270#66988—24no—
271D4×Dic11—24no—
272C4×C22⋊D11—24no—
273C4×C22⋊D11—24no—
274C4×C22⋊D11—24no—
275C4×C22⋊D11—42no—
276C4×C22⋊D11D418yescomplemented
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
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×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302#66979—24no—
303C2×C4⋊Dic11C2311yescharacteristic
304C2×C4⋊Dic11C2311yescharacteristic
305C2×C4⋊Dic11C2311yescharacteristic
306C2×C4⋊Dic11C2311yescharacteristic
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×C4×Dic11—24no—
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#66951—24no—
339#66949—24no—
340#66946—24no—
341C4⋊C4×D11—24no—
342#66942—24no—
343#66939—24no—
344#66938—24no—
345#66938—24no—
346(C22⋊D11)⋊C4—24no—
347(C22⋊D11)⋊C4—24no—
348(C22⋊D11)⋊C4—24no—
349(C22⋊D11)⋊C4—24no—
350C22⋊C4×D11—24no—
351C22⋊C4×D11—24no—
352#66932—24no—
353#66931—24no—
354C4×D44—24no—
355#66925—24no—
356#66925—42no—
357C42×D11—24no—
358C4×Dic22—24no—
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
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391#34700—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C23×D11—22no—
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—22no—
399C23×D11—22no—
400C23×D11—22no—
401C23×D11—22no—
402C23×D11—22no—
403C23×D11—22no—
404C23×D11—22no—
405C23×D11—41no—
406C23×D11—41no—
407C23×D11—41no—
408C23×D11—41no—
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C23×D11C2411yescharacteristic
412C2×D4×C11—22no—
413C2×D4×C11—22no—
414C2×D4×C11—22no—
415C2×D4×C11—22no—
416C2×D4×C11—22no—
417C2×D4×C11—22no—
418C2×D4×C11—22no—
419C2×D4×C11—41no—
420C2×D4×C11—41no—
421C22×C4×C11—22no—
422C22×C4×C11—22no—
423C22×C4×C11—22no—
424C22×C4×C11—22no—
425C22×C4×C11—22no—
426C22×C4×C11—22no—
427C22×C4×C11—22no—
428C22×C4×C11—22no—
429C22×C4×C11C2×D414yes—
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C2×C22⋊D11—22no—
443C2×C22⋊D11—22no—
444C2×C22⋊D11—22no—
445C2×C22⋊D11—22no—
446C2×C22⋊D11—22no—
447C2×C22⋊D11—22no—
448C2×C22⋊D11—22no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11—22no—
451C2×C22⋊D11—22no—
452C2×C22⋊D11—41no—
453C2×C22⋊D11—41no—
454C2×C22⋊D11C2×D414yes—
455C2×C22⋊D11#4114yes—
456C2×C22⋊D11#4114yes—
457C22×Dic11—22no—
458C22×Dic11—22no—
459C22×Dic11—22no—
460C22×Dic11—22no—
461C22×Dic11—22no—
462C22×Dic11—22no—
463C22×Dic11—22no—
464C22×Dic11—22no—
465C22×Dic11—22no—
466C22×Dic11—41no—
467C22×Dic11—41no—
468C22×Dic11—41no—
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482D4×D11—232no—
483C2×D44—22no—
484C2×D44—22no—
485C2×D44—22no—
486C2×C4×D11—22no—
487C2×C4×D11—22no—
488C2×C4×D11—22no—
489C2×C4×D11—22no—
490C2×C4×D11—22no—
491C2×C4×D11—22no—
492C2×C4×D11—22no—
493C2×C4×D11—22no—
494C2×C4×D11—22no—
495C2×C4×D11—22no—
496C2×C4×D11—22no—
497C2×C4×D11—22no—
498C2×C4×D11—22no—
499C2×C4×D11—22no—
500C2×C4×D11—22no—
501C2×C4×D11—22no—
502C2×C4×D11—22no—
503C2×C4×D11—22no—
504C2×C4×D11—22no—
505C2×C4×D11—41no—
506C2×C4×D11—41no—
507C2×C4×D11—41no—
508C2×C4×D11—41no—
509C2×C4×D11—41no—
510C2×C4×D11—416no—
511C2×C4×D11—416no—
512C2×C4×D11C2×D414yes—
513C2×C4×D11#4114yes—
514C2×C4×D11#4114yes—
515C2×Dic22—22no—
516C2×Dic22—22no—
517C2×Dic22—22no—
518C11×C4⋊C4—22no—
519C11×C4⋊C4—22no—
520C11×C4⋊C4—22no—
521C11×C4⋊C4—41no—
522C11×C4⋊C4—41no—
523C11×C4⋊C4—41no—
524C11×C4⋊C4—41no—
525C11×C22⋊C4—22no—
526C11×C22⋊C4—22no—
527C11×C22⋊C4—22no—
528C11×C22⋊C4—22no—
529C11×C22⋊C4—22no—
530C11×C22⋊C4—22no—
531C11×C22⋊C4—22no—
532C11×C22⋊C4—41no—
533C11×C22⋊C4—41no—
534C11×C22⋊C4—41no—
535C11×C22⋊C4—41no—
536C11×C22⋊C4—41no—
537C42×C11—22no—
538C42×C11—22no—
539C42×C11—22no—
540C42×C11—22no—
541C22⋊Dic11—22no—
542C22⋊Dic11—22no—
543C22⋊Dic11—22no—
544C22⋊Dic11—22no—
545C22⋊Dic11—22no—
546C22⋊Dic11—22no—
547C22⋊Dic11—22no—
548C22⋊Dic11—22no—
549C22⋊Dic11—22no—
550C22⋊Dic11—41no—
551C22⋊Dic11—41no—
552C22⋊Dic11—41no—
553C22⋊Dic11C2×D414yes—
554(C2×D11)⋊C4—22no—
555(C2×D11)⋊C4—22no—
556(C2×D11)⋊C4—22no—
557(C2×D11)⋊C4—22no—
558(C2×D11)⋊C4—22no—
559(C2×D11)⋊C4—22no—
560(C2×D11)⋊C4—22no—
561(C2×D11)⋊C4—22no—
562(C2×D11)⋊C4—22no—
563(C2×D11)⋊C4—22no—
564(C2×D11)⋊C4—22no—
565(C2×D11)⋊C4—22no—
566(C2×D11)⋊C4—22no—
567(C2×D11)⋊C4—22no—
568(C2×D11)⋊C4—22no—
569(C2×D11)⋊C4—22no—
570(C2×D11)⋊C4—22no—
571(C2×D11)⋊C4—22no—
572(C2×D11)⋊C4—41no—
573(C2×D11)⋊C4—41no—
574(C2×D11)⋊C4—41no—
575(C2×D11)⋊C4—41no—
576(C2×D11)⋊C4—41no—
577(C2×D11)⋊C4—41no—
578(C2×D11)⋊C4C2×D414yes—
579C4⋊Dic11—22no—
580C4⋊Dic11—22no—
581C4⋊Dic11—22no—
582C4⋊Dic11—22no—
583Dic11⋊C4—22no—
584Dic11⋊C4—22no—
585Dic11⋊C4—22no—
586Dic11⋊C4—22no—
587Dic11⋊C4—22no—
588Dic11⋊C4—22no—
589Dic11⋊C4—22no—
590Dic11⋊C4—22no—
591Dic11⋊C4—22no—
592Dic11⋊C4—22no—
593Dic11⋊C4—22no—
594Dic11⋊C4—22no—
595Dic11⋊C4—41no—
596Dic11⋊C4—41no—
597Dic11⋊C4—41no—
598Dic11⋊C4—41no—
599Dic11⋊C4C2×D414yes—
600C4×Dic11—22no—
601C4×Dic11—22no—
602C4×Dic11—22no—
603C4×Dic11—22no—
604C4×Dic11—22no—
605C4×Dic11—22no—
606C4×Dic11—22no—
607C4×Dic11—22no—
608C4×Dic11—22no—
609C4×Dic11—22no—
610C4×Dic11—22no—
611C4×Dic11—41no—
612C4×Dic11C2×D414yes—
613C2×#529—111no—
614C22×C4×D4—111no—
615#2480—111no—
616#2480—111no—
617#2468—111no—
618#2468—111no—
619#2457—111no—
620#2457—111no—
621#2454—111no—
622#2447—111no—
623#2442—111no—
624#2435—111no—
625#2427—111no—
626#2420—111no—
627#2418—111no—
628#2418—111no—
629#2417—111no—
630#2408—111no—
631#2395—111no—
632#2395—111no—
633#2392—111no—
634#2392D1111yescharacteristic, complemented
635C4×#124—111no—
636C4×C22⋊Q8—111no—
637C4×#121—111no—
638C4×#120—111no—
639C4×#120—111no—
640#2293—111no—
641#2280—111no—
642#2280—111no—
643C42×D4—111no—
644C23×C11—21no—
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×C11C22×D412yes—
663C23×C11C2×#4112yes—
664C23×C11C2×#4112yes—
665C23×C11C2511yescharacteristic
666C22×D11—21no—
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—21no—
670C22×D11—28no—
671C22×D11—28no—
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—21no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—44no—
685C22×D11—44no—
686C22×D11—44no—
687C22×D11—44no—
688C22×D11—44no—
689C22×D11—44no—
690C22×D11—44no—
691C22×D11—44no—
692C22×D11—44no—
693C22×D11—44no—
694C22×D11—44no—
695C22×D11—44no—
696C22×D11C22×D412yes—
697C22×D11C2×#4112yes—
698C22×D11C2×#4112yes—
699C22×D11C2×#4112yes—
700C22×D11C2×#4112yes—
701D4×C11—28no—
702D4×C11—44no—
703D4×C11—44no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—28no—
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—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—44no—
737C2×C4×C11—44no—
738C2×C4×C11C22×D412yes—
739C2×C4×C11C22×D412yes—
740C2×C4×C11C2×#4112yes—
741C2×C4×C11C2×#4112yes—
742C2×C4×C11H(5,𝔽2)12yes—
743C22⋊D11—28no—
744C22⋊D11—28no—
745C22⋊D11—28no—
746C22⋊D11—44no—
747C22⋊D11—44no—
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—21no—
780C2×Dic11—44no—
781C2×Dic11—44no—
782C2×Dic11—44no—
783C2×Dic11—44no—
784C2×Dic11C22×D412yes—
785C2×Dic11C22×D412yes—
786C2×Dic11C22×D412yes—
787C2×Dic11C2×#4112yes—
788C2×Dic11C2×#4112yes—
789C2×Dic11C2×#4112yes—
790C2×Dic11C2×#4112yes—
791D44—28no—
792C4×D11—28no—
793C4×D11—28no—
794C4×D11—28no—
795C4×D11—44no—
796C4×D11—44no—
797C4×D11—44no—
798C4×D11—44no—
799C4×D11—44no—
800C4×D11—44no—
801Dic22—44no—
802C23×D4—111no—
803C24×C4—111no—
804C24×C4—111no—
805#529—228no—
806C2×#126—111no—
807C2×#126—111no—
808C2×#125—111no—
809C2×#124—111no—
810C2×#124—111no—
811C2×#123—111no—
812C2×#123—111no—
813C2×C22⋊Q8—111no—
814C2×C22⋊Q8—111no—
815C2×#121—111no—
816C2×#121—111no—
817C2×#120—111no—
818C2×#120—111no—
819C2×C4×Q8—111no—
820C2×C4×D4—111no—
821C2×C4×D4—111no—
822C2×C4×D4—111no—
823C2×C4×D4—111no—
824C2×C4×D4—111no—
825C2×C4×D4—111no—
826C2×C4×D4—111no—
827C2×C4×D4—111no—
828C2×C4×D4—111no—
829C2×C4×D4—111no—
830C2×C4×D4—111no—
831C2×C4×D4—111no—
832C2×C4×D4—228no—
833C2×C4×D4C2×D1111yescharacteristic
834C2×C4×D4C2×D1111yescharacteristic, complemented
835C2×C4×D4C2×D1111yescharacteristic, complemented
836C2×#117—111no—
837C2×#117—111no—
838C2×#117—111no—
839C2×#117C2×D1111yescharacteristic, complemented
840C22×C4⋊C4—111no—
841C22×C22⋊C4—111no—
842C22×C22⋊C4—111no—
843C22×C42—111no—
844C22×C42—111no—
845#400—111no—
846#400—111no—
847#399—111no—
848#399—111no—
849#398—111no—
850#398—111no—
851#398—111no—
852#398C2×D1111yescharacteristic, complemented
853#397—111no—
854#397—111no—
855#397—111no—
856#397—111no—
857#397—111no—
858#397—111no—
859#397—111no—
860#397C2×D1111yescharacteristic, complemented
861#396—111no—
862#396—111no—
863#396C2×D1111yescharacteristic, complemented
864#396C2×D1111yescharacteristic, complemented
865#394—111no—
866#394—111no—
867#394—111no—
868#394—111no—
869#394—111no—
870#394—111no—
871#394—111no—
872#394C2×D1111yescharacteristic
873#394C2×D1111yescharacteristic, complemented
874#394C2×D1111yescharacteristic, complemented
875#392—111no—
876#392C2×D1111yescharacteristic
877#391—111no—
878#391—111no—
879#390—111no—
880#390—111no—
881#390—111no—
882#390—111no—
883#389—111no—
884#389—111no—
885#389—111no—
886#389—111no—
887#388—111no—
888#388—111no—
889#388—111no—
890#388—111no—
891#388—111no—
892#388—111no—
893#388—111no—
894#388—111no—
895#388—111no—
896#388—111no—
897#387—111no—
898#387—111no—
899#386—111no—
900#386—111no—
901#386—111no—
902#386—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386—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#382—111no—
916#381—111no—
917#381—111no—
918#381—111no—
919#381—111no—
920#380—111no—
921#380—111no—
922#380—111no—
923#380—111no—
924#380—111no—
925#380—111no—
926#380—111no—
927#380—111no—
928#380—111no—
929#380—111no—
930#379—111no—
931#379—111no—
932#379—111no—
933#379—111no—
934#379—111no—
935#379—111no—
936C4×C4⋊C4—111no—
937C4×C4⋊C4—111no—
938C4×C4⋊C4—111no—
939C4×C4⋊C4—111no—
940C4×C4⋊C4—111no—
941C4×C4⋊C4C2×D1111yescharacteristic, complemented
942C4×C22⋊C4—111no—
943C4×C22⋊C4—111no—
944C4×C22⋊C4—111no—
945C4×C22⋊C4—111no—
946C4×C22⋊C4—111no—
947C4×C22⋊C4—111no—
948C4×C22⋊C4—111no—
949C4×C22⋊C4—111no—
950C4×C22⋊C4—111no—
951C4×C22⋊C4—111no—
952C4×C22⋊C4—111no—
953C4×C22⋊C4—111no—
954C4×C22⋊C4—111no—
955C4×C22⋊C4—111no—
956C4×C22⋊C4C2×D1111yescharacteristic, complemented
957C4×C22⋊C4C2×D1111yescharacteristic, complemented
958C43—111no—
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—41no—
969C22×C11—41no—
970C22×C11—41no—
971C22×C11—41no—
972C22×C11—41no—
973C22×C11—41no—
974C22×C11—41no—
975C22×C11—41no—
976C22×C11—41no—
977C22×C11—41no—
978C22×C11—41no—
979C22×C11—41no—
980C22×C11C23×D411yescharacteristic
981C22×C11C22×#4111yescharacteristic
982C22×C11C22×#4111yescharacteristic
983C22×C11C22×#4111yescharacteristic
984C22×C11C22×#4111yescharacteristic
985C22×C11C2×H(5,𝔽2)11yescharacteristic
986C22×C11#58511yescharacteristic
987C2×D11—22no—
988C2×D11—22no—
989C2×D11—22no—
990C2×D11—22no—
991C2×D11—22no—
992C2×D11—22no—
993C2×D11—22no—
994C2×D11—22no—
995C2×D11—22no—
996C2×D11—22no—
997C2×D11—22no—
998C2×D11—22no—
999C2×D11—416no—
1000C2×D11—416no—
1001C2×D11—41no—
1002C2×D11—41no—
1003C2×D11—41no—
1004C2×D11—41no—
1005C2×D11—41no—
1006C2×D11—41no—
1007C2×D11—41no—
1008C2×D11—41no—
1009C2×D11#52914yescomplemented
1010C4×C11—22no—
1011C4×C11—22no—
1012C4×C11—41no—
1013C4×C11—41no—
1014C4×C11—41no—
1015C4×C11—41no—
1016C4×C11—41no—
1017C4×C11—41no—
1018C4×C11—41no—
1019C4×C11—41no—
1020C4×C11—41no—
1021C4×C11#54614yes—
1022Dic11—22no—
1023Dic11—22no—
1024Dic11—22no—
1025Dic11—22no—
1026Dic11—41no—
1027Dic11—41no—
1028Dic11—41no—
1029Dic11—41no—
1030Dic11—41no—
1031Dic11—41no—
1032Dic11—41no—
1033Dic11—41no—
1034Dic11#52514yes—
1035C25—111no—
1036C25—111no—
1037C22×Q8—111no—
1038C22×D4—111no—
1039C22×D4—111no—
1040C22×D4—111no—
1041C22×D4—111no—
1042C22×D4—111no—
1043C22×D4—111no—
1044C22×D4—224no—
1045C22×D4—224no—
1046C22×D4—224no—
1047C22×D4C22×D1111yescharacteristic
1048C22×D4C22×D1111yescharacteristic
1049C22×D4C22×D1111yescharacteristic
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×C4—111no—
1062C23×C4—111no—
1063C23×C4—224no—
1064C23×C4—224no—
1065C23×C4—224no—
1066C23×C4—224no—
1067C23×C4—442no—
1068C23×C4—442no—
1069C23×C4C22×D1111yescharacteristic
1070C23×C4C22×D1111yescharacteristic
1071C23×C4C22×D1111yescharacteristic
1072#126—224no—
1073#126—224no—
1074#125—224no—
1075#124—224no—
1076#124—224no—
1077#123—224no—
1078#123—224no—
1079C22⋊Q8—224no—
1080C22⋊Q8—224no—
1081#121—224no—
1082#121—224no—
1083#120—224no—
1084#120—224no—
1085C4×Q8—224no—
1086C4×D4—24no—
1087C4×D4—24no—
1088C4×D4—42no—
1089C4×D4—118no—
1090C4×D4—224no—
1091C4×D4—224no—
1092C4×D4—224no—
1093C4×D4—224no—
1094C4×D4—224no—
1095C4×D4—224no—
1096C4×D4—224no—
1097C4×D4—224no—
1098C4×D4—224no—
1099C4×D4—224no—
1100C4×D4—442no—
1101#117—42no—
1102#117—224no—
1103#117—224no—
1104#117—442no—
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—111no—
1116C2×C4⋊C4—111no—
1117C2×C4⋊C4—111no—
1118C2×C4⋊C4—111no—
1119C2×C4⋊C4—111no—
1120C2×C4⋊C4—111no—
1121C2×C4⋊C4—111no—
1122C2×C4⋊C4—111no—
1123C2×C4⋊C4—111no—
1124C2×C4⋊C4—111no—
1125C2×C4⋊C4—111no—
1126C2×C4⋊C4—224no—
1127C2×C4⋊C4C22×D1111yescharacteristic
1128C2×C4⋊C4C22×D1111yescharacteristic
1129C2×C4⋊C4C22×D1111yescharacteristic
1130C2×C4⋊C4C22×D1111yescharacteristic
1131C2×C4⋊C4C22×D1111yescharacteristic
1132C2×C4⋊C4C22×D1111yescharacteristic
1133C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4—111no—
1159C2×C22⋊C4—111no—
1160C2×C22⋊C4—111no—
1161C2×C22⋊C4—111no—
1162C2×C22⋊C4—111no—
1163C2×C22⋊C4—111no—
1164C2×C22⋊C4—111no—
1165C2×C22⋊C4—111no—
1166C2×C22⋊C4—111no—
1167C2×C22⋊C4—111no—
1168C2×C22⋊C4—111no—
1169C2×C22⋊C4—111no—
1170C2×C22⋊C4—111no—
1171C2×C22⋊C4—111no—
1172C2×C22⋊C4—224no—
1173C2×C22⋊C4—224no—
1174C2×C22⋊C4C22×D1111yescharacteristic
1175C2×C22⋊C4C22×D1111yescharacteristic
1176C2×C22⋊C4C22×D1111yescharacteristic
1177C2×C22⋊C4C22×D1111yescharacteristic
1178C2×C22⋊C4C22×D1111yescharacteristic
1179C2×C22⋊C4C22×D1111yescharacteristic
1180C2×C22⋊C4C22×D1111yescharacteristic
1181C2×C22⋊C4C22×D1111yescharacteristic
1182C2×C22⋊C4C22×D1111yescharacteristic
1183C2×C22⋊C4C22×D1111yescharacteristic
1184C2×C22⋊C4C22×D1111yescharacteristic
1185C2×C22⋊C4C22×D1111yescharacteristic
1186C2×C42—111no—
1187C2×C42—111no—
1188C2×C42—111no—
1189C2×C42—111no—
1190C2×C42—111no—
1191C2×C42—111no—
1192C2×C42—111no—
1193C2×C42—111no—
1194C2×C42—111no—
1195C2×C42—111no—
1196C2×C42—111no—
1197C2×C42—111no—
1198C2×C42—111no—
1199C2×C42—224no—
1200C2×C42—224no—
1201C2×C42C22×D1111yescharacteristic
1202C2×C42C22×D1111yescharacteristic
1203C2×C42C22×D1111yescharacteristic
1204C2×C42C22×D1111yescharacteristic
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#95—111no—
1216#95—111no—
1217#95—111no—
1218#95—111no—
1219#95—111no—
1220#95—111no—
1221#95—111no—
1222#95—111no—
1223#95—111no—
1224#95—111no—
1225#95—111no—
1226#95—111no—
1227#95—111no—
1228#95—111no—
1229#95—111no—
1230#95—111no—
1231#95C22×D1111yescharacteristic
1232#95C22×D1111yescharacteristic
1233#95C22×D1111yescharacteristic
1234#95C22×D1111yescharacteristic
1235#95C22×D1111yescharacteristic
1236#95C22×D1111yescharacteristic
1237C2×C11—42no—
1238C2×C11—42no—
1239C2×C11—42no—
1240C2×C11C2×#52511yescharacteristic
1241C2×C11C2×#52911yescharacteristic
1242C2×C11#346011yescharacteristic
1243C2×C11C2×#54611yescharacteristic
1244C2×C11D4×#4111yescharacteristic
1245C2×C11#347511yescharacteristic
1246C2×C11#348111yescharacteristic
1247D11—24no—
1248D11—42no—
1249D11—42no—
1250C24—111no—
1251C24—111no—
1252C24—111no—
1253C24—222no—
1254C24—222no—
1255C24—222no—
1256C24—222no—
1257C24—222no—
1258C24—222no—
1259C24—222no—
1260C24—222no—
1261C24—222no—
1262C24—222no—
1263C24—441no—
1264C24—441no—
1265C24—441no—
1266C24—441no—
1267C24C23×D1111yescharacteristic
1268C24C23×D1111yescharacteristic
1269C24C23×D1111yescharacteristic
1270C2×Q8—222no—
1271C2×Q8—222no—
1272C2×Q8—222no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—41no—
1281C2×D4—41no—
1282C2×D4—114no—
1283C2×D4—114no—
1284C2×D4—114no—
1285C2×D4—222no—
1286C2×D4—222no—
1287C2×D4—222no—
1288C2×D4—222no—
1289C2×D4—222no—
1290C2×D4—222no—
1291C2×D4—2232no—
1292C2×D4—222no—
1293C2×D4—222no—
1294C2×D4—222no—
1295C2×D4—222no—
1296C2×D4—222no—
1297C2×D4—222no—
1298C2×D4—222no—
1299C2×D4—441no—
1300C2×D4—441no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—111no—
1310C22×C4—111no—
1311C22×C4—111no—
1312C22×C4—111no—
1313C22×C4—111no—
1314C22×C4—114no—
1315C22×C4—114no—
1316C22×C4—114no—
1317C22×C4—111no—
1318C22×C4—111no—
1319C22×C4—111no—
1320C22×C4—111no—
1321C22×C4—111no—
1322C22×C4—111no—
1323C22×C4—111no—
1324C22×C4—111no—
1325C22×C4—222no—
1326C22×C4—222no—
1327C22×C4—222no—
1328C22×C4—222no—
1329C22×C4—222no—
1330C22×C4—222no—
1331C22×C4—222no—
1332C22×C4—222no—
1333C22×C4—222no—
1334C22×C4—222no—
1335C22×C4—222no—
1336C22×C4—222no—
1337C22×C4—222no—
1338C22×C4—222no—
1339C22×C4—222no—
1340C22×C4—222no—
1341C22×C4—222no—
1342C22×C4—222no—
1343C22×C4—222no—
1344C22×C4—222no—
1345C22×C4—222no—
1346C22×C4—222no—
1347C22×C4—222no—
1348C22×C4—222no—
1349C22×C4—222no—
1350C22×C4—222no—
1351C22×C4—222no—
1352C22×C4—222no—
1353C22×C4—441no—
1354C22×C4—441no—
1355C22×C4—441no—
1356C22×C4—441no—
1357C22×C4—441no—
1358C22×C4—4416no—
1359C22×C4—4416no—
1360C22×C4—441no—
1361C22×C4—441no—
1362C22×C4—441no—
1363C22×C4D4×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
1374C22×C4C23×D1111yescharacteristic
1375C22×C4C23×D1111yescharacteristic
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—41no—
1380C4⋊C4—41no—
1381C4⋊C4—41no—
1382C4⋊C4—41no—
1383C4⋊C4—114no—
1384C4⋊C4—222no—
1385C4⋊C4—222no—
1386C4⋊C4—222no—
1387C4⋊C4—222no—
1388C4⋊C4—222no—
1389C4⋊C4—222no—
1390C4⋊C4—222no—
1391C4⋊C4—222no—
1392C4⋊C4—222no—
1393C4⋊C4—222no—
1394C4⋊C4—222no—
1395C4⋊C4—222no—
1396C4⋊C4—222no—
1397C4⋊C4—222no—
1398C4⋊C4—222no—
1399C4⋊C4—222no—
1400C4⋊C4—441no—
1401C4⋊C4—441no—
1402C4⋊C4—441no—
1403C4⋊C4—441no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—114no—
1417C22⋊C4—114no—
1418C22⋊C4—222no—
1419C22⋊C4—222no—
1420C22⋊C4—222no—
1421C22⋊C4—222no—
1422C22⋊C4—222no—
1423C22⋊C4—222no—
1424C22⋊C4—222no—
1425C22⋊C4—222no—
1426C22⋊C4—222no—
1427C22⋊C4—222no—
1428C22⋊C4—222no—
1429C22⋊C4—222no—
1430C22⋊C4—222no—
1431C22⋊C4—222no—
1432C22⋊C4—222no—
1433C22⋊C4—222no—
1434C22⋊C4—222no—
1435C22⋊C4—222no—
1436C22⋊C4—222no—
1437C22⋊C4—222no—
1438C22⋊C4—222no—
1439C22⋊C4—222no—
1440C22⋊C4—222no—
1441C22⋊C4—222no—
1442C22⋊C4—222no—
1443C22⋊C4—222no—
1444C22⋊C4—222no—
1445C22⋊C4—441no—
1446C22⋊C4—441no—
1447C22⋊C4—441no—
1448C22⋊C4—441no—
1449C22⋊C4—441no—
1450C22⋊C4—441no—
1451C22⋊C4—441no—
1452C22⋊C4—441no—
1453C22⋊C4—441no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—114no—
1459C42—222no—
1460C42—222no—
1461C42—222no—
1462C42—222no—
1463C42—222no—
1464C42—222no—
1465C42—222no—
1466C42—222no—
1467C42—222no—
1468C42—222no—
1469C42—222no—
1470C42—441no—
1471C11#3470011yescharacteristic, complemented, Sylow
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—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—112no—
1491C23—112no—
1492C23—112no—
1493C23—112no—
1494C23—112no—
1495C23—228no—
1496C23—228no—
1497C23—221no—
1498C23—221no—
1499C23—221no—
1500C23—221no—
1501C23—221no—
1502C23—221no—
1503C23—221no—
1504C23—221no—
1505C23—221no—
1506C23—221no—
1507C23—221no—
1508C23—221no—
1509C23—221no—
1510C23—221no—
1511C23—221no—
1512C23—221no—
1513C23—444no—
1514C23—444no—
1515C23—444no—
1516C23—444no—
1517C23—444no—
1518C23—444no—
1519C23—444no—
1520C23—444no—
1521C23—444no—
1522C23—444no—
1523C23—444no—
1524C23—444no—
1525C23C2×D4×D1112yes—
1526C23#41×D1112yes—
1527C23#41×D1112yes—
1528C23C24×D1111yescharacteristic
1529Q8—444no—
1530D4—28no—
1531D4—44no—
1532D4—44no—
1533D4—228no—
1534D4—228no—
1535D4—228no—
1536D4—228no—
1537D4—444no—
1538D4—444no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—28no—
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—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—112no—
1574C2×C4—112no—
1575C2×C4—112no—
1576C2×C4—112no—
1577C2×C4—112no—
1578C2×C4—112no—
1579C2×C4—112no—
1580C2×C4—228no—
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—228no—
1590C2×C4—228no—
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—221no—
1608C2×C4—221no—
1609C2×C4—221no—
1610C2×C4—221no—
1611C2×C4—221no—
1612C2×C4—221no—
1613C2×C4—221no—
1614C2×C4—221no—
1615C2×C4—444no—
1616C2×C4—444no—
1617C2×C4—444no—
1618C2×C4—444no—
1619C2×C4—444no—
1620C2×C4—444no—
1621C2×C4—444no—
1622C2×C4—444no—
1623C2×C4—444no—
1624C2×C4—444no—
1625C2×C4C2×D4×D1112yes—
1626C2×C4C2×D4×D1112yes—
1627C2×C4#6703712yes—
1628C2×C4#41×D1112yes—
1629C2×C4#41×D1112yes—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—114no—
1652C22—222no—
1653C22—222no—
1654C22—222no—
1655C22—222no—
1656C22—222no—
1657C22—222no—
1658C22—222no—
1659C22—222no—
1660C22—222no—
1661C22—222no—
1662C22—222no—
1663C22—222no—
1664C22—4416no—
1665C22—4416no—
1666C22—441no—
1667C22—441no—
1668C22—441no—
1669C22—441no—
1670C22—441no—
1671C22—441no—
1672C22—441no—
1673C22—441no—
1674C22C22×D4×D1111yescharacteristic
1675C22C2×#6703711yescharacteristic
1676C22C2×#41×D1111yescharacteristic
1677C22C2×#41×D1111yescharacteristic
1678C22C2×#41×D1111yescharacteristic
1679C22C2×#41×D1111yescharacteristic
1680C22#1062345311yescharacteristic
1681C4—22no—
1682C4—22no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—114no—
1693C4—222no—
1694C4—222no—
1695C4—222no—
1696C4—222no—
1697C4—441no—
1698C4—441no—
1699C4—441no—
1700C4—441no—
1701C4—441no—
1702C4—441no—
1703C4—441no—
1704C4—441no—
1705C4#1062314114yes—
1706C2—42no—
1707C2—42no—
1708C2—42no—
1709C2—224no—
1710C2—442no—
1711C2—442no—
1712C2D11×#52511yescharacteristic
1713C2D11×#52911yescharacteristic
1714C2#1308203011yescharacteristic
1715C2C2×#1062314111yescharacteristic
1716C2#1308209911yescharacteristic
1717C2#1308216811yescharacteristic
1718C2#1308221811yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC11×#2392C2
prime radical#13071965C2
hypercenter#2392D11
hypocenterC11#34700
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #2392

Complements

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

NH ≅ G/Ntype
1. C2×#10623069C2semidirect
2. C2×C4×D4×D11C2semidirect
3. #13072865C2semidirect
4. #13072857C2semidirect
5. #13072685C2semidirect
6. #13072677C2semidirect
7. #13072524C2semidirect
8. #13072516C2semidirect
9. #13072481C2semidirect
10. #13072396C2semidirect
11. #13072335C2semidirect
12. #13072262C2semidirect
13. #13072186C2semidirect
14. #13072101C2semidirect
15. #13072073C2semidirect
16. #13072071C2semidirect
17. #13072060C2semidirect
19. #13071879C2semidirect
20. #13071875C2semidirect
21. #13071860C2semidirect
22. C4×#66938C2semidirect
23. C4×#66949C2semidirect
24. C4×#66992C2semidirect
25. C4×#66990C2semidirect
26. C4×#66990C2semidirect
27. #13071075C2semidirect
28. #13070997C2semidirect
29. #13070995C2semidirect
30. C4×(C22⋊D11)⋊C4C2semidirect
31. C11×#2392C2semidirect
36. C2×C4×D4×C11C22semidirect
37. C2×C4×D4×C11C22semidirect
38. C2×C11×#117C22semidirect
43. C2×#66988C22semidirect
48. C2×C4×C22⋊D11C22semidirect
49. C2×C4×C22⋊D11C22semidirect
50. C2×#66979C22semidirect
51. C22×C4×Dic11C22semidirect
54. C2×#66951C22semidirect
58. C2×#66942C22semidirect
59. C2×#66939C22semidirect
68. C2×#66932C22semidirect
69. C2×#66931C22semidirect
71. C2×#66925C22semidirect
72. C2×#66925C22semidirect
74. C2×C4×Dic22C22semidirect
75. C11×#398C22semidirect
76. C11×#397C22semidirect
77. C11×#396C22semidirect
78. C11×#396C22semidirect
80. C11×#394C22semidirect
81. C11×#394C22semidirect
83. C4×C11×C4⋊C4C22semidirect
84. C4×C11×C22⋊C4C22semidirect
85. C4×C11×C22⋊C4C22semidirect
88. #10622833C22semidirect
89. #10622833C22semidirect
90. #10622833C22semidirect
91. C4×C22⋊Dic11C22semidirect
92. C4×C22⋊Dic11C22semidirect
93. C4×C22⋊Dic11C22semidirect
94. #10622606C22semidirect
95. #10622605C22semidirect
97. #10622603C22semidirect
98. #10622603C22semidirect
99. #10622603C22semidirect
103. #10622602C22semidirect
104. #10622602C22semidirect
107. #10622600C22semidirect
108. #10622600C22semidirect
109. #10622599C22semidirect
110. #10622597C22semidirect
111. #10622596C22semidirect
112. #10622594C22semidirect
113. #10622585C22semidirect
114. #10622585C22semidirect
115. #10622585C22semidirect
116. #10622585C22semidirect
118. #10622572C22semidirect
119. #10622572C22semidirect
120. #10622571C22semidirect
127. #10622569C22semidirect
128. #10622569C22semidirect
135. #10622566C22semidirect
136. #10622565C22semidirect
137. #10622565C22semidirect
138. #10622564C22semidirect
139. #10622562C22semidirect
140. #10622561C22semidirect
141. #10622559C22semidirect
142. #10622559C22semidirect
143. #10622558C22semidirect
144. #10622558C22semidirect
145. #10622558C22semidirect
146. #10622557C22semidirect
147. #10622556C22semidirect
148. #10622556C22semidirect
149. #10622555C22semidirect
150. #10622555C22semidirect
151. #10622555C22semidirect
152. C22⋊C4×Dic11C22semidirect
153. C22⋊C4×Dic11C22semidirect
157. C4×(C2×D11)⋊C4C22semidirect
158. C4×(C2×D11)⋊C4C22semidirect
159. C4×(C2×D11)⋊C4C22semidirect
160. C4×(C2×D11)⋊C4C22semidirect
161. C4×Dic11⋊C4C22semidirect
162. C4×Dic11⋊C4C22semidirect
163. C4×Dic11⋊C4C22semidirect
164. C42×Dic11C22semidirect
165. #10622289C22semidirect
166. #10622288C22semidirect
167. #10622288C22semidirect
168. #10622288C22semidirect
171. #10622283C22semidirect
172. #10622282C22semidirect
179. #10622277C22semidirect
180. #10622277C22semidirect
181. #10622273C22semidirect
182. #10622270C22semidirect
183. #10622265C22semidirect
184. #10622263C22semidirect
185. #10622262C22semidirect
186. #10622262C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
276. C4×C22⋊D11D4semidirect
634. #2392D11semidirect
834. C2×C4×D4C2×D11semidirect
835. C2×C4×D4C2×D11semidirect
839. C2×#117C2×D11semidirect
852. #398C2×D11semidirect
860. #397C2×D11semidirect
863. #396C2×D11semidirect
864. #396C2×D11semidirect
873. #394C2×D11semidirect
874. #394C2×D11semidirect
941. C4×C4⋊C4C2×D11semidirect
956. C4×C22⋊C4C2×D11semidirect
957. C4×C22⋊C4C2×D11semidirect
1009. C2×D11#529semidirect
1471. C11#34700semidirect

Maximal subgroups

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

subgroupindex
C2×#106230692
C2×C4×D4×D112
#130728652
#130728572
#130726852
#130726772
#130725242
#130725162
#130724812
#130723962
#130723352
#130722622
#130721862
#130721012
#130720732
#130720712
#130720602
#130719652
#130718792
#130718752
#130718602
C4×#669382
C4×#669492
C4×#669922
C4×#669902
#130710752
#130709972
#130709952
C4×(C22⋊D11)⋊C42
C11×#23922
#3470011