Finite Group Databasebeta

← #14921945

Subgroups — #14921945

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×#10623059C211yesmaximal, characteristic, complemented
2C2×C4×D4×D11C211yesmaximal, characteristic, complemented
3#13072863C211yesmaximal, characteristic, complemented
4#13072855C211yesmaximal, characteristic, complemented
5#13072683C211yesmaximal, characteristic, complemented
6#13072675C211yesmaximal, characteristic, complemented
7#13072526C211yesmaximal, characteristic, complemented
8#13072518C211yesmaximal, characteristic, complemented
9#13072483C211yesmaximal, characteristic, complemented
10#13072398C211yesmaximal, characteristic, complemented
11#13072333C211yesmaximal, characteristic, complemented
12#13072262C211yesmaximal, characteristic, complemented
13#13072188C211yesmaximal, characteristic, complemented
14#13072103C211yesmaximal, characteristic, complemented
15#13072081C211yesmaximal, characteristic, complemented
16#13072079C211yesmaximal, characteristic, complemented
17#13072062C211yesmaximal, characteristic, complemented
18#13071967C211yesmaximal, characteristic
19#13071879C211yesmaximal, characteristic, complemented
20#13071858C211yesmaximal, characteristic, complemented
21#13071856C211yesmaximal, characteristic, complemented
22C4×#66938C211yesmaximal, characteristic, complemented
23C4×#66949C211yesmaximal, characteristic, complemented
24C4×#66937C211yesmaximal, characteristic, complemented
25C4×#66935C211yesmaximal, characteristic, complemented
26C4×#66935C211yesmaximal, characteristic, complemented
27#13071079C211yesmaximal, characteristic, complemented
28#13070997C211yesmaximal, characteristic, complemented
29#13070995C211yesmaximal, characteristic, complemented
30C4×#66946C211yesmaximal, characteristic, complemented
31C11×#2395C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C2×C11×#117C2211yescharacteristic, complemented
37C2×D4×Dic11C2211yescharacteristic
38C2×C4×C22⋊D11C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic, complemented
41C2×C4×C22⋊D11C2211yescharacteristic, complemented
42C2×#66979C2211yescharacteristic, complemented
43C4×D4×D11—28no—
44#10623059—28no—
45C2×#66951C2211yescharacteristic, complemented
46C2×#66949C2211yescharacteristic
47C2×#66949C2211yescharacteristic, complemented
48C2×#66947C2211yescharacteristic, complemented
49C2×#66946C2211yescharacteristic
50C2×#66946C2211yescharacteristic
51C2×#66946C2211yescharacteristic
52C2×C4⋊C4×D11C2211yescharacteristic
53C2×#66942C2211yescharacteristic, complemented
54C2×#66938C2211yescharacteristic
55C2×#66938C2211yescharacteristic
56C2×#66937C2211yescharacteristic
57C2×#66937C2211yescharacteristic
58C2×#66936C2211yescharacteristic, complemented
59C2×#66935C2211yescharacteristic
60C2×#66935C2211yescharacteristic
61C2×(C22⋊D11)⋊C4C2211yescharacteristic
62C2×(C22⋊D11)⋊C4C2211yescharacteristic
63C2×C22⋊C4×D11C2211yescharacteristic
64C2×C22⋊C4×D11C2211yescharacteristic
65C2×#66932C2211yescharacteristic, complemented
66C2×C4×D44C2211yescharacteristic
67C2×C4×D44C2211yescharacteristic
68C2×C4×D44C2211yescharacteristic, complemented
69C2×C4×D44C2211yescharacteristic, complemented
70C2×#66925C2211yescharacteristic, complemented
71C2×#66925C2211yescharacteristic, complemented
72C2×C42×D11C2211yescharacteristic
73C2×C42×D11C2211yescharacteristic, complemented
74C2×C4×Dic22C2211yescharacteristic, complemented
75C11×#400C2211yescharacteristic, complemented
76C11×#399C2211yescharacteristic, complemented
77C11×#398C2211yescharacteristic, complemented
78C11×#397C2211yescharacteristic, complemented
79C11×#397C2211yescharacteristic, complemented
80C11×#397C2211yescharacteristic, complemented
81C11×#394C2211yescharacteristic
82C11×#394C2211yescharacteristic
83C4×C11×C4⋊C4C2211yescharacteristic, complemented
84C4×C11×C4⋊C4C2211yescharacteristic, complemented
85C4×C11×C22⋊C4C2211yescharacteristic, complemented
86C4×C11×C22⋊C4C2211yescharacteristic, complemented
87C4×C11×C22⋊C4C2211yescharacteristic, complemented
88#10622836C2211yescharacteristic
89#10622835C2211yescharacteristic
90C4×C22⋊Dic11C2211yescharacteristic, complemented
91#10622607C2211yescharacteristic, complemented
92#10622607C2211yescharacteristic, complemented
93#10622607C2211yescharacteristic, complemented
94#10622606C2211yescharacteristic, complemented
95#10622605C2211yescharacteristic, complemented
96#10622604C2211yescharacteristic
97#10622604C2211yescharacteristic
98#10622604C2211yescharacteristic, complemented
99#10622602C2211yescharacteristic
100#10622600C2211yescharacteristic
101#10622600C2211yescharacteristic
102#10622600C2211yescharacteristic, complemented
103#10622600C2211yescharacteristic, complemented
104#10622597C2211yescharacteristic, complemented
105#10622597C2211yescharacteristic, complemented
106#10622594C2211yescharacteristic, complemented
107C4⋊C4×Dic11C2211yescharacteristic, complemented
108C4⋊C4×Dic11C2211yescharacteristic, complemented
109#10622585C2211yescharacteristic, complemented
110#10622574C2211yescharacteristic, complemented
111#10622572C2211yescharacteristic, complemented
112#10622571C2211yescharacteristic, complemented
113#10622571C2211yescharacteristic, complemented
114#10622570C2211yescharacteristic
115#10622570C2211yescharacteristic
116#10622570C2211yescharacteristic
117#10622570C2211yescharacteristic
118#10622569C2211yescharacteristic, complemented
119#10622568C2211yescharacteristic
120#10622568C2211yescharacteristic
121#10622568C2211yescharacteristic
122#10622568C2211yescharacteristic
123#10622568C2211yescharacteristic
124#10622568C2211yescharacteristic
125#10622565C2211yescharacteristic, complemented
126#10622564C2211yescharacteristic, complemented
127#10622564C2211yescharacteristic, complemented
128#10622563C2211yescharacteristic, complemented
129#10622563C2211yescharacteristic, complemented
130#10622561C2211yescharacteristic, complemented
131#10622557C2211yescharacteristic, complemented
132#10622557C2211yescharacteristic, complemented
133#10622557C2211yescharacteristic, complemented
134#10622556C2211yescharacteristic, complemented
135#10622556C2211yescharacteristic, complemented
136#10622555C2211yescharacteristic, complemented
137#10622555C2211yescharacteristic, complemented
138C4×(C2×D11)⋊C4C2211yescharacteristic
139C4×(C2×D11)⋊C4C2211yescharacteristic
140C4×(C2×D11)⋊C4C2211yescharacteristic
141C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
142C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
143C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
144C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
145C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
146C4×Dic11⋊C4C2211yescharacteristic, complemented
147C4×Dic11⋊C4C2211yescharacteristic, complemented
148C42×Dic11C2211yescharacteristic, complemented
149#10622288C2211yescharacteristic, complemented
150#10622288C2211yescharacteristic, complemented
151#10622287C2211yescharacteristic, complemented
152#10622285C2211yescharacteristic
153#10622285C2211yescharacteristic, complemented
154#10622284C2211yescharacteristic
155#10622283C2211yescharacteristic, complemented
156#10622283C2211yescharacteristic, complemented
157#10622283C2211yescharacteristic, complemented
158#10622282C2211yescharacteristic, complemented
159#10622282C2211yescharacteristic, complemented
160#10622281C2211yescharacteristic
161#10622281C2211yescharacteristic
162#10622281C2211yescharacteristic
163#10622281C2211yescharacteristic, complemented
164#10622281C2211yescharacteristic, complemented
165#10622280C2211yescharacteristic
166#10622280C2211yescharacteristic
167#10622280C2211yescharacteristic
168#10622280C2211yescharacteristic, complemented
169#10622279C2211yescharacteristic
170#10622279C2211yescharacteristic
171#10622279C2211yescharacteristic, complemented
172#10622279C2211yescharacteristic, complemented
173#10622278C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622278C2211yescharacteristic, complemented
176#10622278C2211yescharacteristic, complemented
177#10622278C2211yescharacteristic, complemented
178#10622277C2211yescharacteristic, complemented
179#10622277C2211yescharacteristic, complemented
180#10622274C2211yescharacteristic, complemented
181#10622273C2211yescharacteristic, complemented
182#10622265C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C2×D4×D11—24no—
201C2×D4×D11—24no—
202C2×D4×D11—24no—
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×C4×D11—24no—
208C22×C4×D11—24no—
209C22×C4×D11—24no—
210C22×C4×D11—24no—
211C22×C4×D11—42no—
212C22×C4×D11—42no—
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
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—
227C11×#117—24no—
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊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
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C42×C11C2311yescharacteristic
246C2×C42×C11C2311yescharacteristic
247C2×C42×C11C2311yescharacteristic
248C2×C42×C11C2311yescharacteristic
249C2×C42×C11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258D4×Dic11—24no—
259C4×C22⋊D11—24no—
260C4×C22⋊D11—24no—
261C4×C22⋊D11—42no—
262C4×C22⋊D11D418yescomplemented
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(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
295#66979—42no—
296C2×C4⋊Dic11C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×C4⋊Dic11C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329#66951—24no—
330#66949—24no—
331#66949—24no—
332#66947—24no—
333#66946—24no—
334#66946—24no—
335#66946—24no—
336C4⋊C4×D11—24no—
337#66942—24no—
338#66938—24no—
339#66938—24no—
340#66937—24no—
341#66937—24no—
342#66936—24no—
343#66935—24no—
344#66935—24no—
345(C22⋊D11)⋊C4—24no—
346(C22⋊D11)⋊C4—24no—
347C22⋊C4×D11—24no—
348C22⋊C4×D11—24no—
349#66932—24no—
350C4×D44—24no—
351C4×D44—24no—
352C4×D44—24no—
353C4×D44—42no—
354#66925—24no—
355#66925—42no—
356C42×D11—24no—
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
394C23×D11—22no—
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—41no—
405C23×D11—41no—
406C23×D11—41no—
407C23×D11—41no—
408C23×D11C2411yescharacteristic
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C23×D11C2411yescharacteristic
412C2×D4×C11—22no—
413C2×D4×C11—22no—
414C2×D4×C11—22no—
415C22×C4×C11—22no—
416C22×C4×C11—22no—
417C22×C4×C11—22no—
418C22×C4×C11—22no—
419C22×C4×C11—22no—
420C22×C4×C11C2×D414yes—
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—22no—
438C2×C22⋊D11—22no—
439C2×C22⋊D11—22no—
440C2×C22⋊D11—22no—
441C2×C22⋊D11—22no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11C2×D414yes—
445C2×C22⋊D11#4114yes—
446C22×Dic11—22no—
447C22×Dic11—22no—
448C22×Dic11—22no—
449C22×Dic11—22no—
450C22×Dic11—41no—
451C22×Dic11—41no—
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464D4×D11—232no—
465C2×D44—22no—
466C2×D44—22no—
467C2×D44—22no—
468C2×D44—22no—
469C2×D44—22no—
470C2×D44—22no—
471C2×D44—22no—
472C2×D44—22no—
473C2×D44—22no—
474C2×D44—41no—
475C2×D44—41no—
476C2×D44#4114yes—
477C2×C4×D11—22no—
478C2×C4×D11—22no—
479C2×C4×D11—22no—
480C2×C4×D11—22no—
481C2×C4×D11—22no—
482C2×C4×D11—22no—
483C2×C4×D11—22no—
484C2×C4×D11—22no—
485C2×C4×D11—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—41no—
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—22no—
522C11×C4⋊C4—22no—
523C11×C4⋊C4—22no—
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—22no—
533C11×C22⋊C4—41no—
534C11×C22⋊C4—41no—
535C42×C11—22no—
536C42×C11—22no—
537C42×C11—22no—
538C42×C11—22no—
539C42×C11—22no—
540C22⋊Dic11—22no—
541C22⋊Dic11—22no—
542C22⋊Dic11—22no—
543C22⋊Dic11—41no—
544C22⋊Dic11—41no—
545C22⋊Dic11—41no—
546C22⋊Dic11—41no—
547C22⋊Dic11C2×D414yes—
548(C2×D11)⋊C4—22no—
549(C2×D11)⋊C4—22no—
550(C2×D11)⋊C4—22no—
551(C2×D11)⋊C4—22no—
552(C2×D11)⋊C4—22no—
553(C2×D11)⋊C4—22no—
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—41no—
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)⋊C4—41no—
579(C2×D11)⋊C4C2×D414yes—
580C4⋊Dic11—22no—
581C4⋊Dic11—22no—
582C4⋊Dic11—22no—
583C4⋊Dic11—22no—
584C4⋊Dic11—41no—
585C4⋊Dic11—41no—
586C4⋊Dic11—41no—
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—22no—
596Dic11⋊C4—41no—
597Dic11⋊C4—41no—
598Dic11⋊C4—41no—
599Dic11⋊C4—41no—
600Dic11⋊C4C2×D414yes—
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#2395D1111yescharacteristic, complemented
633#2392—111no—
634#2392—111no—
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×C11C22×D412yes—
657C23×C11C2×#4112yes—
658C23×C11C2511yescharacteristic
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11—28no—
664C22×D11—28no—
665C22×D11—21no—
666C22×D11—21no—
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—21no—
670C22×D11—21no—
671C22×D11—21no—
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—44no—
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×D11C22×D412yes—
696C22×D11C2×#4112yes—
697C22×D11C2×#4112yes—
698C22×D11C2×#4112yes—
699C22×D11C2×#4112yes—
700C22×D11C2×#4112yes—
701D4×C11—28no—
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—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×C11C22×D412yes—
738C2×C4×C11C22×D412yes—
739C2×C4×C11C2×#4112yes—
740C2×C4×C11C2×#4112yes—
741C2×C4×C11C2×#4112yes—
742C2×C4×C11H(5,𝔽2)12yes—
743C22⋊D11—28no—
744C22⋊D11—28no—
745C22⋊D11—44no—
746C22⋊D11—44no—
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—44no—
778C2×Dic11—44no—
779C2×Dic11C22×D412yes—
780C2×Dic11C22×D412yes—
781C2×Dic11C22×D412yes—
782C2×Dic11C2×#4112yes—
783C2×Dic11C2×#4112yes—
784C2×Dic11C2×#4112yes—
785D44—28no—
786D44—28no—
787D44—44no—
788D44—44no—
789C4×D11—28no—
790C4×D11—28no—
791C4×D11—28no—
792C4×D11—44no—
793C4×D11—44no—
794C4×D11—44no—
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—111no—
833C2×C4×D4—111no—
834C2×C4×D4—228no—
835C2×C4×D4C2×D1111yescharacteristic
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#400C2×D1111yescharacteristic, complemented
847#399—111no—
848#399C2×D1111yescharacteristic, complemented
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#397C2×D1111yescharacteristic, complemented
859#397C2×D1111yescharacteristic, complemented
860#397C2×D1111yescharacteristic, complemented
861#396—111no—
862#396—111no—
863#396—111no—
864#396—111no—
865#394—111no—
866#394—111no—
867#394—111no—
868#394—111no—
869#394—111no—
870#394—111no—
871#394—111no—
872#394—111no—
873#394C2×D1111yescharacteristic
874#394C2×D1111yescharacteristic
875#392—111no—
876#392—111no—
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⋊C4C2×D1111yescharacteristic, complemented
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⋊C4C2×D1111yescharacteristic, complemented
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—41no—
966C22×C11—41no—
967C22×C11—41no—
968C22×C11—41no—
969C22×C11—41no—
970C22×C11—41no—
971C22×C11—41no—
972C22×C11—41no—
973C22×C11C23×D411yescharacteristic
974C22×C11C22×#4111yescharacteristic
975C22×C11C22×#4111yescharacteristic
976C22×C11C22×#4111yescharacteristic
977C22×C11C22×#4111yescharacteristic
978C22×C11C2×H(5,𝔽2)11yescharacteristic
979C22×C11#58511yescharacteristic
980C2×D11—22no—
981C2×D11—22no—
982C2×D11—22no—
983C2×D11—22no—
984C2×D11—22no—
985C2×D11—22no—
986C2×D11—22no—
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—416no—
996C2×D11—416no—
997C2×D11—41no—
998C2×D11—41no—
999C2×D11—41no—
1000C2×D11—41no—
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—22no—
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—41no—
1022C4×C11#54614yes—
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—111no—
1045C22×D4—111no—
1046C22×D4—224no—
1047C22×D4—224no—
1048C22×D4—224no—
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—111no—
1064C23×C4—224no—
1065C23×C4—224no—
1066C23×C4—224no—
1067C23×C4—224no—
1068C23×C4—442no—
1069C23×C4—442no—
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—118no—
1088C4×D4—224no—
1089C4×D4—224no—
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—442no—
1100C4×D4—442no—
1101#117—24no—
1102#117—224no—
1103#117—442no—
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—111no—
1173C2×C22⋊C4—111no—
1174C2×C22⋊C4—224no—
1175C2×C22⋊C4—224no—
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—224no—
1199C2×C42—224no—
1200C2×C42C22×D1111yescharacteristic
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#95C22×D1111yescharacteristic
1228#95C22×D1111yescharacteristic
1229#95C22×D1111yescharacteristic
1230#95C22×D1111yescharacteristic
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×C11C2×#52511yescharacteristic
1240C2×C11C2×#52911yescharacteristic
1241C2×C11#346011yescharacteristic
1242C2×C11C2×#54611yescharacteristic
1243C2×C11D4×#4111yescharacteristic
1244C2×C11#347511yescharacteristic
1245C2×C11#348111yescharacteristic
1246D11—24no—
1247D11—42no—
1248D11—42no—
1249D11—42no—
1250C24—111no—
1251C24—111no—
1252C24—111no—
1253C24—111no—
1254C24—222no—
1255C24—222no—
1256C24—222no—
1257C24—222no—
1258C24—222no—
1259C24—222no—
1260C24—222no—
1261C24—222no—
1262C24—222no—
1263C24—222no—
1264C24—441no—
1265C24—441no—
1266C24—441no—
1267C24—441no—
1268C24C23×D1111yescharacteristic
1269C24C23×D1111yescharacteristic
1270C2×Q8—222no—
1271C2×Q8—222no—
1272C2×Q8—222no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—114no—
1277C2×D4—114no—
1278C2×D4—114no—
1279C2×D4—222no—
1280C2×D4—222no—
1281C2×D4—222no—
1282C2×D4—222no—
1283C2×D4—222no—
1284C2×D4—222no—
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—441no—
1298C2×D4—441no—
1299C2×D4—441no—
1300C2×D4—441no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—111no—
1307C22×C4—111no—
1308C22×C4—111no—
1309C22×C4—111no—
1310C22×C4—114no—
1311C22×C4—114no—
1312C22×C4—114no—
1313C22×C4—111no—
1314C22×C4—111no—
1315C22×C4—111no—
1316C22×C4—111no—
1317C22×C4—111no—
1318C22×C4—111no—
1319C22×C4—111no—
1320C22×C4—111no—
1321C22×C4—222no—
1322C22×C4—222no—
1323C22×C4—222no—
1324C22×C4—222no—
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—441no—
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×C4D4×D1114yes—
1363C22×C4C23×D1111yescharacteristic
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—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
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—441no—
1398C4⋊C4—441no—
1399C4⋊C4—441no—
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—22no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—114no—
1415C22⋊C4—114no—
1416C22⋊C4—222no—
1417C22⋊C4—222no—
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—441no—
1443C22⋊C4—441no—
1444C22⋊C4—441no—
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—22no—
1459C42—114no—
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—112no—
1485C23—112no—
1486C23—112no—
1487C23—112no—
1488C23—112no—
1489C23—112no—
1490C23—228no—
1491C23—228no—
1492C23—221no—
1493C23—221no—
1494C23—221no—
1495C23—221no—
1496C23—221no—
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—221no—
1514C23—444no—
1515C23—444no—
1516C23—444no—
1517C23—444no—
1518C23—444no—
1519C23—444no—
1520C23—444no—
1521C23—444no—
1522C23—444no—
1523C23—444no—
1524C23—444no—
1525C23—444no—
1526C23C2×D4×D1112yes—
1527C23#41×D1112yes—
1528C23C24×D1111yescharacteristic
1529Q8—444no—
1530D4—28no—
1531D4—228no—
1532D4—228no—
1533D4—228no—
1534D4—228no—
1535D4—444no—
1536D4—444no—
1537D4—444no—
1538D4—444no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—28no—
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—21no—
1572C2×C4—21no—
1573C2×C4—44no—
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—228no—
1588C2×C4—228no—
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—221no—
1608C2×C4—221no—
1609C2×C4—221no—
1610C2×C4—221no—
1611C2×C4—221no—
1612C2×C4—221no—
1613C2×C4—444no—
1614C2×C4—444no—
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×C4C2×D4×D1112yes—
1625C2×C4C2×D4×D1112yes—
1626C2×C4#41×D1112yes—
1627C2×C4#41×D1112yes—
1628C2×C4#41×D1112yes—
1629C2×C4#6704212yes—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—114no—
1645C22—222no—
1646C22—222no—
1647C22—222no—
1648C22—222no—
1649C22—222no—
1650C22—222no—
1651C22—222no—
1652C22—222no—
1653C22—222no—
1654C22—222no—
1655C22—222no—
1656C22—222no—
1657C22—222no—
1658C22—222no—
1659C22—222no—
1660C22—4416no—
1661C22—4416no—
1662C22—441no—
1663C22—441no—
1664C22—441no—
1665C22—441no—
1666C22—441no—
1667C22—441no—
1668C22—441no—
1669C22—441no—
1670C22—441no—
1671C22—441no—
1672C22—441no—
1673C22—441no—
1674C22C22×D4×D1111yescharacteristic
1675C22C2×#41×D1111yescharacteristic
1676C22C2×#41×D1111yescharacteristic
1677C22C2×#41×D1111yescharacteristic
1678C22C2×#41×D1111yescharacteristic
1679C22C2×#6704211yescharacteristic
1680C22#1062345311yescharacteristic
1681C4—22no—
1682C4—22no—
1683C4—22no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—114no—
1694C4—222no—
1695C4—222no—
1696C4—222no—
1697C4—441no—
1698C4—441no—
1699C4—441no—
1700C4—441no—
1701C4—441no—
1702C4—441no—
1703C4—441no—
1704C4—441no—
1705C4#1062318514yes—
1706C2—42no—
1707C2—42no—
1708C2—224no—
1709C2—442no—
1710C2—442no—
1711C2—442no—
1712C2D11×#52511yescharacteristic
1713C2D11×#52911yescharacteristic
1714C2#1308203711yescharacteristic
1715C2C2×#1062318511yescharacteristic
1716C2#1308210211yescharacteristic
1717C2#1308216811yescharacteristic
1718C2#1308222211yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC11×#2395C2
prime radical#13071967C2
hypercenter#2395D11
hypocenterC11#34700
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #2395

Complements

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

NH ≅ G/Ntype
1. C2×#10623059C2semidirect
2. C2×C4×D4×D11C2semidirect
3. #13072863C2semidirect
4. #13072855C2semidirect
5. #13072683C2semidirect
6. #13072675C2semidirect
7. #13072526C2semidirect
8. #13072518C2semidirect
9. #13072483C2semidirect
10. #13072398C2semidirect
11. #13072333C2semidirect
12. #13072262C2semidirect
13. #13072188C2semidirect
14. #13072103C2semidirect
15. #13072081C2semidirect
16. #13072079C2semidirect
17. #13072062C2semidirect
19. #13071879C2semidirect
20. #13071858C2semidirect
21. #13071856C2semidirect
22. C4×#66938C2semidirect
23. C4×#66949C2semidirect
24. C4×#66937C2semidirect
25. C4×#66935C2semidirect
26. C4×#66935C2semidirect
27. #13071079C2semidirect
28. #13070997C2semidirect
29. #13070995C2semidirect
30. C4×#66946C2semidirect
31. C11×#2395C2semidirect
36. C2×C11×#117C22semidirect
40. C2×C4×C22⋊D11C22semidirect
41. C2×C4×C22⋊D11C22semidirect
42. C2×#66979C22semidirect
45. C2×#66951C22semidirect
47. C2×#66949C22semidirect
48. C2×#66947C22semidirect
53. C2×#66942C22semidirect
58. C2×#66936C22semidirect
65. C2×#66932C22semidirect
68. C2×C4×D44C22semidirect
69. C2×C4×D44C22semidirect
70. C2×#66925C22semidirect
71. C2×#66925C22semidirect
73. C2×C42×D11C22semidirect
74. C2×C4×Dic22C22semidirect
75. C11×#400C22semidirect
76. C11×#399C22semidirect
77. C11×#398C22semidirect
78. C11×#397C22semidirect
79. C11×#397C22semidirect
80. C11×#397C22semidirect
83. C4×C11×C4⋊C4C22semidirect
84. C4×C11×C4⋊C4C22semidirect
85. C4×C11×C22⋊C4C22semidirect
86. C4×C11×C22⋊C4C22semidirect
87. C4×C11×C22⋊C4C22semidirect
90. C4×C22⋊Dic11C22semidirect
91. #10622607C22semidirect
92. #10622607C22semidirect
93. #10622607C22semidirect
94. #10622606C22semidirect
95. #10622605C22semidirect
98. #10622604C22semidirect
102. #10622600C22semidirect
103. #10622600C22semidirect
104. #10622597C22semidirect
105. #10622597C22semidirect
106. #10622594C22semidirect
107. C4⋊C4×Dic11C22semidirect
108. C4⋊C4×Dic11C22semidirect
109. #10622585C22semidirect
110. #10622574C22semidirect
111. #10622572C22semidirect
112. #10622571C22semidirect
113. #10622571C22semidirect
118. #10622569C22semidirect
125. #10622565C22semidirect
126. #10622564C22semidirect
127. #10622564C22semidirect
128. #10622563C22semidirect
129. #10622563C22semidirect
130. #10622561C22semidirect
131. #10622557C22semidirect
132. #10622557C22semidirect
133. #10622557C22semidirect
134. #10622556C22semidirect
135. #10622556C22semidirect
136. #10622555C22semidirect
137. #10622555C22semidirect
141. C4×(C2×D11)⋊C4C22semidirect
142. C4×(C2×D11)⋊C4C22semidirect
143. C4×(C2×D11)⋊C4C22semidirect
144. C4×(C2×D11)⋊C4C22semidirect
145. C4×(C2×D11)⋊C4C22semidirect
146. C4×Dic11⋊C4C22semidirect
147. C4×Dic11⋊C4C22semidirect
148. C42×Dic11C22semidirect
149. #10622288C22semidirect
150. #10622288C22semidirect
151. #10622287C22semidirect
153. #10622285C22semidirect
155. #10622283C22semidirect
156. #10622283C22semidirect
157. #10622283C22semidirect
158. #10622282C22semidirect
159. #10622282C22semidirect
163. #10622281C22semidirect
164. #10622281C22semidirect
168. #10622280C22semidirect
171. #10622279C22semidirect
172. #10622279C22semidirect
175. #10622278C22semidirect
176. #10622278C22semidirect
177. #10622278C22semidirect
178. #10622277C22semidirect
179. #10622277C22semidirect
180. #10622274C22semidirect
181. #10622273C22semidirect
182. #10622265C22semidirect
183. #10622263C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
262. C4×C22⋊D11D4semidirect
632. #2395D11semidirect
839. C2×#117C2×D11semidirect
846. #400C2×D11semidirect
848. #399C2×D11semidirect
852. #398C2×D11semidirect
858. #397C2×D11semidirect
859. #397C2×D11semidirect
860. #397C2×D11semidirect
940. C4×C4⋊C4C2×D11semidirect
941. C4×C4⋊C4C2×D11semidirect
955. C4×C22⋊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×#106230592
C2×C4×D4×D112
#130728632
#130728552
#130726832
#130726752
#130725262
#130725182
#130724832
#130723982
#130723332
#130722622
#130721882
#130721032
#130720812
#130720792
#130720622
#130719672
#130718792
#130718582
#130718562
C4×#669382
C4×#669492
C4×#669372
C4×#669352
#130710792
#130709972
#130709952
C4×#669462
C11×#23952
#3470011