Finite Group Databasebeta

← #14920195

Subgroups — #14920195

Order 2816.

2982 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623078C211yesmaximal, characteristic, complemented
2C2×C4×D4×D11C211yesmaximal, characteristic, complemented
3#13074535C211yesmaximal, characteristic, complemented
4#13074532C211yesmaximal, characteristic, complemented
5#13074502C211yesmaximal, characteristic, complemented
6#13074499C211yesmaximal, characteristic, complemented
7#13074466C211yesmaximal, characteristic, complemented
8#13074464C211yesmaximal, characteristic, complemented
9#13074462C211yesmaximal, characteristic, complemented
10#13074460C211yesmaximal, characteristic, complemented
11#13074434C211yesmaximal, characteristic, complemented
12#13074426C211yesmaximal, characteristic, complemented
13#13074390C211yesmaximal, characteristic, complemented
14#13074388C211yesmaximal, characteristic, complemented
15#13074363C211yesmaximal, characteristic, complemented
16#13074355C211yesmaximal, characteristic, complemented
17#13074329C211yesmaximal, characteristic, complemented
18#13074327C211yesmaximal, characteristic, complemented
19#13071879C211yesmaximal, characteristic, complemented
20#13071877C211yesmaximal, characteristic, complemented
21#13071858C211yesmaximal, characteristic, complemented
22#13071858C211yesmaximal, characteristic, complemented
23#13071852C211yesmaximal, characteristic, complemented
24#13071832C211yesmaximal, characteristic, complemented
25#13071831C211yesmaximal, characteristic, complemented
26C4×#66947C211yesmaximal, characteristic, complemented
27C4×#66936C211yesmaximal, characteristic, complemented
28C4×#66935C211yesmaximal, characteristic, complemented
29C4×#66990C211yesmaximal, characteristic, complemented
30#13070995C211yesmaximal, characteristic, complemented
31C11×#2392C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C22×#4339C2211yescharacteristic, complemented
34C23×C4×D11C2211yescharacteristic
35C23×C4×D11C2211yescharacteristic
36C2×C4×D4×C11C2211yescharacteristic
37C2×C4×D4×C11C2211yescharacteristic, complemented
38C2×C4×D4×C11C2211yescharacteristic, complemented
39C2×C11×#117C2211yescharacteristic, complemented
40C2×#66992C2211yescharacteristic, complemented
41C2×#66990C2211yescharacteristic
42C2×#66990C2211yescharacteristic
43C2×D4×Dic11C2211yescharacteristic
44C2×C4×C22⋊D11C2211yescharacteristic
45C2×C4×C22⋊D11C2211yescharacteristic
46C2×C4×C22⋊D11C2211yescharacteristic
47C2×C4×C22⋊D11C2211yescharacteristic, complemented
48C2×C4×C22⋊D11C2211yescharacteristic, complemented
49C2×C4×C22⋊D11C2211yescharacteristic, complemented
50C2×#66979C2211yescharacteristic, complemented
51#10623078—28no—
52C4×D4×D11—28no—
53C2×#66949C2211yescharacteristic
54C2×#66947C2211yescharacteristic
55C2×#66947C2211yescharacteristic, complemented
56C2×#66946C2211yescharacteristic
57C2×C4⋊C4×D11C2211yescharacteristic
58C2×#66937C2211yescharacteristic
59C2×#66936C2211yescharacteristic
60C2×#66936C2211yescharacteristic, complemented
61C2×#66935C2211yescharacteristic
62C2×#66935C2211yescharacteristic
63C2×(C22⋊D11)⋊C4C2211yescharacteristic
64C2×(C22⋊D11)⋊C4C2211yescharacteristic
65C2×C22⋊C4×D11C2211yescharacteristic
66C2×C22⋊C4×D11C2211yescharacteristic
67C2×#66931C2211yescharacteristic, complemented
68C2×C4×D44C2211yescharacteristic
69C2×C4×D44C2211yescharacteristic
70C2×C4×D44C2211yescharacteristic, complemented
71C2×#66925C2211yescharacteristic, complemented
72C2×C42×D11C2211yescharacteristic
73C11×#398C2211yescharacteristic, complemented
74C11×#397C2211yescharacteristic, complemented
75C11×#396C2211yescharacteristic, complemented
76C11×#396C2211yescharacteristic, complemented
77C11×#394C2211yescharacteristic
78C11×#394C2211yescharacteristic, complemented
79C11×#394C2211yescharacteristic, complemented
80C11×#392C2211yescharacteristic
81C4×C11×C4⋊C4C2211yescharacteristic, complemented
82C4×C11×C22⋊C4C2211yescharacteristic, complemented
83C4×C11×C22⋊C4C2211yescharacteristic, complemented
84#10622836C2211yescharacteristic
85#10622836C2211yescharacteristic
86#10622836C2211yescharacteristic
87#10622836C2211yescharacteristic, complemented
88#10622835C2211yescharacteristic
89#10622835C2211yescharacteristic, complemented
90#10622833C2211yescharacteristic, complemented
91C4×C22⋊Dic11C2211yescharacteristic, complemented
92C4×C22⋊Dic11C2211yescharacteristic, complemented
93#10622607C2211yescharacteristic, complemented
94#10622607C2211yescharacteristic, complemented
95#10622607C2211yescharacteristic, complemented
96#10622607C2211yescharacteristic, complemented
97#10622606C2211yescharacteristic, complemented
98#10622605C2211yescharacteristic, complemented
99#10622604C2211yescharacteristic
100#10622604C2211yescharacteristic, complemented
101#10622604C2211yescharacteristic, complemented
102#10622603C2211yescharacteristic, complemented
103#10622602C2211yescharacteristic
104#10622602C2211yescharacteristic
105#10622602C2211yescharacteristic, complemented
106#10622600C2211yescharacteristic
107#10622600C2211yescharacteristic
108#10622600C2211yescharacteristic, complemented
109#10622600C2211yescharacteristic, complemented
110#10622597C2211yescharacteristic, complemented
111#10622597C2211yescharacteristic, complemented
112#10622597C2211yescharacteristic, complemented
113#10622596C2211yescharacteristic, complemented
114#10622594C2211yescharacteristic, complemented
115#10622592C2211yescharacteristic, complemented
116#10622574C2211yescharacteristic
117#10622574C2211yescharacteristic
118#10622574C2211yescharacteristic, complemented
119#10622574C2211yescharacteristic, complemented
120#10622574C2211yescharacteristic, complemented
121#10622574C2211yescharacteristic, complemented
122#10622574C2211yescharacteristic, complemented
123#10622573C2211yescharacteristic
124#10622573C2211yescharacteristic
125#10622573C2211yescharacteristic
126#10622573C2211yescharacteristic, complemented
127#10622572C2211yescharacteristic
128#10622572C2211yescharacteristic
129#10622572C2211yescharacteristic, complemented
130#10622572C2211yescharacteristic, complemented
131#10622572C2211yescharacteristic, complemented
132#10622571C2211yescharacteristic, complemented
133#10622569C2211yescharacteristic
134#10622569C2211yescharacteristic
135#10622569C2211yescharacteristic, complemented
136#10622568C2211yescharacteristic
137#10622568C2211yescharacteristic
138#10622568C2211yescharacteristic
139#10622568C2211yescharacteristic
140#10622566C2211yescharacteristic, complemented
141#10622565C2211yescharacteristic, complemented
142#10622565C2211yescharacteristic, complemented
143#10622565C2211yescharacteristic, complemented
144#10622564C2211yescharacteristic, complemented
145#10622563C2211yescharacteristic, complemented
146#10622562C2211yescharacteristic, complemented
147#10622561C2211yescharacteristic, complemented
148#10622561C2211yescharacteristic, complemented
149#10622560C2211yescharacteristic, complemented
150#10622559C2211yescharacteristic, complemented
151#10622558C2211yescharacteristic, complemented
152#10622556C2211yescharacteristic, complemented
153#10622556C2211yescharacteristic, complemented
154C4×(C2×D11)⋊C4C2211yescharacteristic
155C4×(C2×D11)⋊C4C2211yescharacteristic
156C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
157C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
159C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
161C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
162C4×C4⋊Dic11C2211yescharacteristic, complemented
163C4×Dic11⋊C4C2211yescharacteristic, complemented
164C4×Dic11⋊C4C2211yescharacteristic, complemented
165#10622288C2211yescharacteristic, complemented
166#10622288C2211yescharacteristic, complemented
167#10622288C2211yescharacteristic, complemented
168#10622287C2211yescharacteristic, complemented
169#10622286C2211yescharacteristic, complemented
170#10622285C2211yescharacteristic
171#10622285C2211yescharacteristic, complemented
172#10622284C2211yescharacteristic
173#10622282C2211yescharacteristic, complemented
174#10622281C2211yescharacteristic
175#10622281C2211yescharacteristic
176#10622281C2211yescharacteristic, complemented
177#10622278C2211yescharacteristic
178#10622278C2211yescharacteristic
179#10622278C2211yescharacteristic, complemented
180#10622277C2211yescharacteristic
181#10622277C2211yescharacteristic
182#10622273C2211yescharacteristic, complemented
183#10622271C2211yescharacteristic, complemented
184#10622270C2211yescharacteristic, complemented
185#10622269C2211yescharacteristic, complemented
186#10622268C2211yescharacteristic, complemented
187#10622267C2211yescharacteristic, complemented
188#10622265C2211yescharacteristic, 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
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C2×D4×D11—24no—
208C2×D4×D11—24no—
209C2×D4×D11—24no—
210C2×#4339—24no—
211C2×#4339—42no—
212C2×#4339—42no—
213C22×D44C2311yescharacteristic
214C22×D44C2311yescharacteristic
215C22×D44C2311yescharacteristic
216C22×D44C2311yescharacteristic
217C22×C4×D11—24no—
218C22×C4×D11—42no—
219C22×C4×D11—42no—
220C22×C4×D11—42no—
221C22×C4×D11—42no—
222C22×C4×D11D418yescomplemented
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×C4×D11C2311yescharacteristic
230C22×C4×D11C2311yescharacteristic
231C22×C4×D11C2311yescharacteristic
232C22×C4×D11C2311yescharacteristic
233C22×Dic22C2311yescharacteristic
234C4×D4×C11—24no—
235C4×D4×C11—24no—
236C4×D4×C11—42no—
237C11×#117—42no—
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C4⋊C4C2311yescharacteristic
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C11×C22⋊C4C2311yescharacteristic
254C2×C11×C22⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4C2311yescharacteristic
256C2×C11×C22⋊C4C2311yescharacteristic
257C2×C42×C11C2311yescharacteristic
258C2×C42×C11C2311yescharacteristic
259C2×C42×C11C2311yescharacteristic
260C2×C42×C11C2311yescharacteristic
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
273#66992—24no—
274#66990—24no—
275#66990—24no—
276D4×Dic11—24no—
277C4×C22⋊D11—24no—
278C4×C22⋊D11—24no—
279C4×C22⋊D11—24no—
280C4×C22⋊D11—24no—
281C4×C22⋊D11—42no—
282C4×C22⋊D11—42no—
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
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310C2×(C2×D11)⋊C4C2311yescharacteristic
311C2×(C2×D11)⋊C4C2311yescharacteristic
312C2×(C2×D11)⋊C4C2311yescharacteristic
313#66979—42no—
314C2×C4⋊Dic11C2311yescharacteristic
315C2×C4⋊Dic11C2311yescharacteristic
316C2×C4⋊Dic11C2311yescharacteristic
317C2×C4⋊Dic11C2311yescharacteristic
318C2×C4⋊Dic11C2311yescharacteristic
319C2×C4⋊Dic11C2311yescharacteristic
320C2×C4⋊Dic11C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×Dic11⋊C4C2311yescharacteristic
328C2×Dic11⋊C4C2311yescharacteristic
329C2×Dic11⋊C4C2311yescharacteristic
330C2×Dic11⋊C4C2311yescharacteristic
331C2×Dic11⋊C4C2311yescharacteristic
332C2×Dic11⋊C4C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334C2×C4×Dic11C2311yescharacteristic
335C2×C4×Dic11C2311yescharacteristic
336C2×C4×Dic11C2311yescharacteristic
337C2×C4×Dic11C2311yescharacteristic
338C2×C4×Dic11C2311yescharacteristic
339#66949—24no—
340#66947—24no—
341#66947—24no—
342#66946—24no—
343C4⋊C4×D11—24no—
344#66937—24no—
345#66936—24no—
346#66936—24no—
347#66935—24no—
348#66935—24no—
349(C22⋊D11)⋊C4—24no—
350(C22⋊D11)⋊C4—24no—
351C22⋊C4×D11—24no—
352C22⋊C4×D11—24no—
353#66931—24no—
354C4×D44—24no—
355C4×D44—24no—
356C4×D44—42no—
357#66925—24no—
358C42×D11—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#34562—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C23×D11—22no—
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—22no—
399C23×D11—41no—
400C23×D11—41no—
401C23×D11—41no—
402C23×D11—41no—
403C23×D11—41no—
404C23×D11—41no—
405C23×D11—41no—
406C23×D11—41no—
407C23×D11C2×D414yes—
408C23×D11#4114yescomplemented
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C23×D11C2411yescharacteristic
412C23×D11C2411yescharacteristic
413C2×D4×C11—22no—
414C2×D4×C11—22no—
415C2×D4×C11—22no—
416C2×D4×C11—22no—
417C2×D4×C11—22no—
418C2×D4×C11—41no—
419C2×D4×C11—41no—
420C2×D4×C11—41no—
421C2×D4×C11—41no—
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×C11—22no—
430C22×C4×C11C2×D414yes—
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
442C22×C4×C11C2411yescharacteristic
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—22no—
453C2×C22⋊D11—22no—
454C2×C22⋊D11—22no—
455C2×C22⋊D11—22no—
456C2×C22⋊D11—22no—
457C2×C22⋊D11—41no—
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⋊D11—41no—
465C2×C22⋊D11—41no—
466C2×C22⋊D11—41no—
467C22×Dic11—22no—
468C22×Dic11—41no—
469C22×Dic11—41no—
470C22×Dic11—41no—
471C22×Dic11—41no—
472C22×Dic11C2×D414yes—
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485D4×D11—232no—
486#4339—416no—
487C2×D44—22no—
488C2×D44—22no—
489C2×D44—22no—
490C2×D44—22no—
491C2×D44—22no—
492C2×D44—22no—
493C2×D44—22no—
494C2×D44—22no—
495C2×D44—41no—
496C2×D44—41no—
497C2×D44—41no—
498C2×D44—41no—
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—22no—
506C2×C4×D11—22no—
507C2×C4×D11—22no—
508C2×C4×D11—22no—
509C2×C4×D11—22no—
510C2×C4×D11—22no—
511C2×C4×D11—22no—
512C2×C4×D11—22no—
513C2×C4×D11—22no—
514C2×C4×D11—41no—
515C2×C4×D11—41no—
516C2×C4×D11—41no—
517C2×C4×D11—41no—
518C2×C4×D11—41no—
519C2×C4×D11—41no—
520C2×C4×D11—41no—
521C2×C4×D11—41no—
522C2×C4×D11—41no—
523C2×C4×D11—41no—
524C2×C4×D11—416no—
525C2×C4×D11—416no—
526C2×C4×D11C2×D414yes—
527C2×C4×D11C2×D414yes—
528C2×C4×D11C2×D414yes—
529C2×C4×D11C2×D414yes—
530C2×C4×D11#4114yescomplemented
531C2×Dic22—22no—
532C2×Dic22—41no—
533C2×Dic22—41no—
534C11×C4⋊C4—22no—
535C11×C4⋊C4—22no—
536C11×C4⋊C4—22no—
537C11×C4⋊C4—41no—
538C11×C4⋊C4—41no—
539C11×C4⋊C4—41no—
540C11×C4⋊C4—41no—
541C11×C22⋊C4—22no—
542C11×C22⋊C4—22no—
543C11×C22⋊C4—22no—
544C11×C22⋊C4—22no—
545C11×C22⋊C4—22no—
546C11×C22⋊C4—22no—
547C11×C22⋊C4—41no—
548C11×C22⋊C4—41no—
549C11×C22⋊C4—41no—
550C11×C22⋊C4—41no—
551C11×C22⋊C4—41no—
552C11×C22⋊C4—41no—
553C42×C11—22no—
554C42×C11—22no—
555C42×C11—22no—
556C42×C11—22no—
557C22⋊Dic11—22no—
558C22⋊Dic11—22no—
559C22⋊Dic11—22no—
560C22⋊Dic11—22no—
561C22⋊Dic11—22no—
562C22⋊Dic11—22no—
563C22⋊Dic11—41no—
564C22⋊Dic11—41no—
565C22⋊Dic11—41no—
566C22⋊Dic11—41no—
567C22⋊Dic11—41no—
568C22⋊Dic11—41no—
569(C2×D11)⋊C4—22no—
570(C2×D11)⋊C4—22no—
571(C2×D11)⋊C4—22no—
572(C2×D11)⋊C4—22no—
573(C2×D11)⋊C4—22no—
574(C2×D11)⋊C4—22no—
575(C2×D11)⋊C4—22no—
576(C2×D11)⋊C4—22no—
577(C2×D11)⋊C4—22no—
578(C2×D11)⋊C4—22no—
579(C2×D11)⋊C4—22no—
580(C2×D11)⋊C4—22no—
581(C2×D11)⋊C4—22no—
582(C2×D11)⋊C4—22no—
583(C2×D11)⋊C4—22no—
584(C2×D11)⋊C4—22no—
585(C2×D11)⋊C4—22no—
586(C2×D11)⋊C4—22no—
587(C2×D11)⋊C4—41no—
588(C2×D11)⋊C4—41no—
589(C2×D11)⋊C4—41no—
590(C2×D11)⋊C4—41no—
591(C2×D11)⋊C4—41no—
592(C2×D11)⋊C4—41no—
593(C2×D11)⋊C4—41no—
594(C2×D11)⋊C4—41no—
595(C2×D11)⋊C4—41no—
596(C2×D11)⋊C4—41no—
597(C2×D11)⋊C4—41no—
598(C2×D11)⋊C4—41no—
599C4⋊Dic11—22no—
600C4⋊Dic11—22no—
601C4⋊Dic11—22no—
602C4⋊Dic11—41no—
603C4⋊Dic11—41no—
604C4⋊Dic11—41no—
605C4⋊Dic11—41no—
606Dic11⋊C4—22no—
607Dic11⋊C4—22no—
608Dic11⋊C4—22no—
609Dic11⋊C4—22no—
610Dic11⋊C4—22no—
611Dic11⋊C4—22no—
612Dic11⋊C4—22no—
613Dic11⋊C4—22no—
614Dic11⋊C4—41no—
615Dic11⋊C4—41no—
616Dic11⋊C4—41no—
617Dic11⋊C4—41no—
618C4×Dic11—22no—
619C4×Dic11—22no—
620C4×Dic11—22no—
621C4×Dic11—22no—
622C4×Dic11—22no—
623C4×Dic11—22no—
624C2×#525—111no—
625C22×C4×D4—111no—
626#2638—111no—
627#2638—111no—
628#2635—111no—
629#2635—111no—
630#2630—111no—
631#2630—111no—
632#2630—111no—
633#2630—111no—
634#2627—111no—
635#2626—111no—
636#2622—111no—
637#2622—111no—
638#2618—111no—
639#2617—111no—
640#2613—111no—
641#2613—111no—
642#2395—111no—
643#2395—111no—
644#2392—111no—
645#2392—111no—
646#2392—111no—
647#2392D1111yescharacteristic, complemented
648#2388—111no—
649#2388—111no—
650C4×#123—111no—
651C4×#123—111no—
652C4×#120—111no—
653C4×#120—111no—
654#2280—111no—
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—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—21no—
669C23×C11—21no—
670C23×C11—21no—
671C23×C11—21no—
672C23×C11—21no—
673C23×C11—21no—
674C23×C11C22×D412yes—
675C23×C11C2×#4112yes—
676C23×C11C2511yescharacteristic
677C22×D11—21no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—21no—
691C22×D11—21no—
692C22×D11—21no—
693C22×D11—28no—
694C22×D11—28no—
695C22×D11—21no—
696C22×D11—21no—
697C22×D11—21no—
698C22×D11—21no—
699C22×D11—21no—
700C22×D11—21no—
701C22×D11—21no—
702C22×D11—44no—
703C22×D11—44no—
704C22×D11—44no—
705C22×D11—44no—
706C22×D11—44no—
707C22×D11—44no—
708C22×D11—44no—
709C22×D11—44no—
710C22×D11—44no—
711C22×D11—44no—
712C22×D11—44no—
713C22×D11—44no—
714C22×D11C22×D412yes—
715C22×D11C22×D412yes—
716C22×D11C2×#4112yes—
717C22×D11C2×#4112yes—
718C22×D11C2×#4112yes—
719D4×C11—28no—
720D4×C11—44no—
721D4×C11—44no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—28no—
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—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—21no—
744C2×C4×C11—21no—
745C2×C4×C11—21no—
746C2×C4×C11—21no—
747C2×C4×C11—21no—
748C2×C4×C11—21no—
749C2×C4×C11—21no—
750C2×C4×C11—21no—
751C2×C4×C11—21no—
752C2×C4×C11—21no—
753C2×C4×C11—21no—
754C2×C4×C11—44no—
755C2×C4×C11—44no—
756C2×C4×C11C22×D412yes—
757C2×C4×C11C22×D412yes—
758C2×C4×C11C2×#4112yes—
759C2×C4×C11H(5,𝔽2)12yes—
760C2×C4×C11H(5,𝔽2)12yes—
761C22⋊D11—28no—
762C22⋊D11—28no—
763C22⋊D11—44no—
764C22⋊D11—44no—
765C22⋊D11—44no—
766C22⋊D11—44no—
767C22⋊D11—44no—
768C22⋊D11—44no—
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—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—21no—
801C2×Dic11—21no—
802C2×Dic11—44no—
803C2×Dic11—44no—
804C2×Dic11C22×D412yes—
805C2×Dic11C22×D412yes—
806C2×Dic11C2×#4112yes—
807D44—28no—
808D44—44no—
809D44—44no—
810D44—44no—
811C4×D11—28no—
812C4×D11—28no—
813C4×D11—28no—
814C4×D11—44no—
815C4×D11—44no—
816C4×D11—44no—
817C4×D11—44no—
818C4×D11—44no—
819C4×D11—44no—
820C4×D11—44no—
821Dic22—44no—
822C22×#41—111no—
823C23×D4—111no—
824C24×C4—111no—
825C24×C4—111no—
826#525—228no—
827C2×#123—111no—
828C2×#123—111no—
829C2×#123—111no—
830C2×#123—111no—
831C2×C22⋊Q8—111no—
832C2×C22⋊Q8—111no—
833C2×#121—111no—
834C2×#121—111no—
835C2×#120—111no—
836C2×#120—111no—
837C2×#120—111no—
838C2×#120—111no—
839C2×C4×D4—111no—
840C2×C4×D4—111no—
841C2×C4×D4—111no—
842C2×C4×D4—111no—
843C2×C4×D4—111no—
844C2×C4×D4—111no—
845C2×C4×D4—111no—
846C2×C4×D4—111no—
847C2×C4×D4—111no—
848C2×C4×D4—111no—
849C2×C4×D4—111no—
850C2×C4×D4—111no—
851C2×C4×D4—111no—
852C2×C4×D4—228no—
853C2×C4×D4C2×D1111yescharacteristic
854C2×C4×D4C2×D1111yescharacteristic, complemented
855C2×C4×D4C2×D1111yescharacteristic, complemented
856C2×#117—111no—
857C2×#117—111no—
858C2×#117C2×D1111yescharacteristic, complemented
859C22×C4⋊C4—111no—
860C22×C22⋊C4—111no—
861C22×C22⋊C4—111no—
862C22×C42—111no—
863#400—111no—
864#400—111no—
865#399—111no—
866#399—111no—
867#398—111no—
868#398—111no—
869#398—111no—
870#398—111no—
871#398—111no—
872#398C2×D1111yescharacteristic, complemented
873#397—111no—
874#397—111no—
875#397—111no—
876#397—111no—
877#397—111no—
878#397—111no—
879#397—111no—
880#397—111no—
881#397—111no—
882#397C2×D1111yescharacteristic, complemented
883#396—111no—
884#396—111no—
885#396—111no—
886#396—111no—
887#396—111no—
888#396—111no—
889#396C2×D1111yescharacteristic, complemented
890#396C2×D1111yescharacteristic, complemented
891#395—111no—
892#395—111no—
893#394—111no—
894#394—111no—
895#394—111no—
896#394—111no—
897#394—111no—
898#394—111no—
899#394—111no—
900#394—111no—
901#394—111no—
902#394—111no—
903#394—111no—
904#394—111no—
905#394—111no—
906#394—111no—
907#394—111no—
908#394—111no—
909#394—111no—
910#394—111no—
911#394—111no—
912#394C2×D1111yescharacteristic
913#394C2×D1111yescharacteristic, complemented
914#394C2×D1111yescharacteristic, complemented
915#393—111no—
916#393—111no—
917#392—111no—
918#392—111no—
919#392—111no—
920#392—111no—
921#392—111no—
922#392—111no—
923#392—111no—
924#392—111no—
925#392—111no—
926#392C2×D1111yescharacteristic
927#388—111no—
928#388—111no—
929#388—111no—
930#388—111no—
931#387—111no—
932#387—111no—
933#387—111no—
934#387—111no—
935#386—111no—
936#386—111no—
937#386—111no—
938#386—111no—
939#386—111no—
940#386—111no—
941#386—111no—
942#386—111no—
943#385—111no—
944#385—111no—
945#385—111no—
946#385—111no—
947#385—111no—
948#385—111no—
949#385—111no—
950#385—111no—
951#381—111no—
952#381—111no—
953#381—111no—
954#381—111no—
955#380—111no—
956#380—111no—
957#380—111no—
958#380—111no—
959#379—111no—
960#379—111no—
961#379—111no—
962#379—111no—
963C4×C4⋊C4—111no—
964C4×C4⋊C4—111no—
965C4×C4⋊C4—111no—
966C4×C4⋊C4C2×D1111yescharacteristic, complemented
967C4×C22⋊C4—111no—
968C4×C22⋊C4—111no—
969C4×C22⋊C4—111no—
970C4×C22⋊C4—111no—
971C4×C22⋊C4—111no—
972C4×C22⋊C4—111no—
973C4×C22⋊C4—111no—
974C4×C22⋊C4—111no—
975C4×C22⋊C4—111no—
976C4×C22⋊C4—111no—
977C4×C22⋊C4C2×D1111yescharacteristic, complemented
978C4×C22⋊C4C2×D1111yescharacteristic, complemented
979C22×C11—22no—
980C22×C11—22no—
981C22×C11—22no—
982C22×C11—22no—
983C22×C11—22no—
984C22×C11—22no—
985C22×C11—41no—
986C22×C11—41no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
992C22×C11—41no—
993C22×C11—41no—
994C22×C11—41no—
995C22×C11—41no—
996C22×C11—41no—
997C22×C11—41no—
998C22×C11—41no—
999C22×C11—41no—
1000C22×C11C23×D411yescharacteristic
1001C22×C11C22×#4111yescharacteristic
1002C22×C11C22×#4111yescharacteristic
1003C22×C11C2×H(5,𝔽2)11yescharacteristic
1004C22×C11C2×H(5,𝔽2)11yescharacteristic
1005C22×C11#58511yescharacteristic
1006C22×C11#58511yescharacteristic
1007C2×D11—22no—
1008C2×D11—22no—
1009C2×D11—22no—
1010C2×D11—22no—
1011C2×D11—22no—
1012C2×D11—22no—
1013C2×D11—22no—
1014C2×D11—22no—
1015C2×D11—22no—
1016C2×D11—22no—
1017C2×D11—22no—
1018C2×D11—22no—
1019C2×D11—416no—
1020C2×D11—416no—
1021C2×D11—41no—
1022C2×D11—41no—
1023C2×D11—41no—
1024C2×D11—41no—
1025C2×D11—41no—
1026C2×D11—41no—
1027C2×D11—41no—
1028C2×D11—41no—
1029C2×D11—41no—
1030C2×D11—41no—
1031C2×D11—41no—
1032C2×D11—41no—
1033C2×D11—41no—
1034C2×D11—41no—
1035C2×D11—41no—
1036C2×D11#52514yes—
1037C4×C11—22no—
1038C4×C11—22no—
1039C4×C11—41no—
1040C4×C11—41no—
1041C4×C11—41no—
1042C4×C11—41no—
1043C4×C11—41no—
1044C4×C11—41no—
1045C4×C11—41no—
1046C4×C11—41no—
1047C4×C11—41no—
1048C4×C11#53414yes—
1049Dic11—22no—
1050Dic11—22no—
1051Dic11—22no—
1052Dic11—41no—
1053Dic11—41no—
1054Dic11—41no—
1055Dic11—41no—
1056Dic11—41no—
1057Dic11—41no—
1058Dic11—41no—
1059Dic11—41no—
1060Dic11—41no—
1061C25—111no—
1062C25—111no—
1063C2×#41—224no—
1064C2×#41—442no—
1065C2×#41—442no—
1066C22×Q8—111no—
1067C22×D4—111no—
1068C22×D4—111no—
1069C22×D4—111no—
1070C22×D4—111no—
1071C22×D4—111no—
1072C22×D4—111no—
1073C22×D4—111no—
1074C22×D4—111no—
1075C22×D4—111no—
1076C22×D4—111no—
1077C22×D4—111no—
1078C22×D4—111no—
1079C22×D4—224no—
1080C22×D4—224no—
1081C22×D4—224no—
1082C22×D4C22×D1111yescharacteristic
1083C22×D4C22×D1111yescharacteristic
1084C22×D4C22×D1111yescharacteristic
1085C23×C4—111no—
1086C23×C4—111no—
1087C23×C4—111no—
1088C23×C4—111no—
1089C23×C4—118no—
1090C23×C4—111no—
1091C23×C4—111no—
1092C23×C4—111no—
1093C23×C4—111no—
1094C23×C4—111no—
1095C23×C4—111no—
1096C23×C4—111no—
1097C23×C4—111no—
1098C23×C4—224no—
1099C23×C4—442no—
1100C23×C4—442no—
1101C23×C4—442no—
1102C23×C4—442no—
1103C23×C4C22×D1111yescharacteristic
1104C23×C4C22×D1111yescharacteristic
1105C23×C4C22×D1111yescharacteristic
1106#123—224no—
1107#123—224no—
1108#123—224no—
1109#123—224no—
1110C22⋊Q8—224no—
1111C22⋊Q8—224no—
1112#121—224no—
1113#121—224no—
1114#120—224no—
1115#120—224no—
1116#120—224no—
1117#120—224no—
1118C4×D4—24no—
1119C4×D4—24no—
1120C4×D4—42no—
1121C4×D4—224no—
1122C4×D4—224no—
1123C4×D4—224no—
1124C4×D4—224no—
1125C4×D4—224no—
1126C4×D4—224no—
1127C4×D4—224no—
1128C4×D4—224no—
1129C4×D4—224no—
1130C4×D4—224no—
1131C4×D4—442no—
1132C4×D4—442no—
1133C4×D4—442no—
1134#117—42no—
1135#117—224no—
1136#117—442no—
1137C2×C4⋊C4—111no—
1138C2×C4⋊C4—111no—
1139C2×C4⋊C4—111no—
1140C2×C4⋊C4—111no—
1141C2×C4⋊C4—111no—
1142C2×C4⋊C4—111no—
1143C2×C4⋊C4—111no—
1144C2×C4⋊C4—111no—
1145C2×C4⋊C4—111no—
1146C2×C4⋊C4—111no—
1147C2×C4⋊C4—111no—
1148C2×C4⋊C4—111no—
1149C2×C4⋊C4—111no—
1150C2×C4⋊C4—111no—
1151C2×C4⋊C4—111no—
1152C2×C4⋊C4—111no—
1153C2×C4⋊C4—111no—
1154C2×C4⋊C4—111no—
1155C2×C4⋊C4—111no—
1156C2×C4⋊C4—224no—
1157C2×C4⋊C4C22×D1111yescharacteristic
1158C2×C4⋊C4C22×D1111yescharacteristic
1159C2×C4⋊C4C22×D1111yescharacteristic
1160C2×C4⋊C4C22×D1111yescharacteristic
1161C2×C4⋊C4C22×D1111yescharacteristic
1162C2×C4⋊C4C22×D1111yescharacteristic
1163C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1175C2×C22⋊C4—111no—
1176C2×C22⋊C4—111no—
1177C2×C22⋊C4—111no—
1178C2×C22⋊C4—111no—
1179C2×C22⋊C4—111no—
1180C2×C22⋊C4—111no—
1181C2×C22⋊C4—111no—
1182C2×C22⋊C4—111no—
1183C2×C22⋊C4—111no—
1184C2×C22⋊C4—111no—
1185C2×C22⋊C4—111no—
1186C2×C22⋊C4—111no—
1187C2×C22⋊C4—111no—
1188C2×C22⋊C4—111no—
1189C2×C22⋊C4—111no—
1190C2×C22⋊C4—111no—
1191C2×C22⋊C4—111no—
1192C2×C22⋊C4—111no—
1193C2×C22⋊C4—111no—
1194C2×C22⋊C4—111no—
1195C2×C22⋊C4—111no—
1196C2×C22⋊C4—111no—
1197C2×C22⋊C4—111no—
1198C2×C22⋊C4—111no—
1199C2×C22⋊C4—111no—
1200C2×C22⋊C4—111no—
1201C2×C22⋊C4—111no—
1202C2×C22⋊C4—111no—
1203C2×C22⋊C4—111no—
1204C2×C22⋊C4—111no—
1205C2×C22⋊C4—111no—
1206C2×C22⋊C4—224no—
1207C2×C22⋊C4—224no—
1208C2×C22⋊C4C22×D1111yescharacteristic
1209C2×C22⋊C4C22×D1111yescharacteristic
1210C2×C22⋊C4C22×D1111yescharacteristic
1211C2×C22⋊C4C22×D1111yescharacteristic
1212C2×C22⋊C4C22×D1111yescharacteristic
1213C2×C22⋊C4C22×D1111yescharacteristic
1214C2×C22⋊C4C22×D1111yescharacteristic
1215C2×C22⋊C4C22×D1111yescharacteristic
1216C2×C22⋊C4C22×D1111yescharacteristic
1217C2×C22⋊C4C22×D1111yescharacteristic
1218C2×C22⋊C4C22×D1111yescharacteristic
1219C2×C22⋊C4C22×D1111yescharacteristic
1220C2×C42—111no—
1221C2×C42—111no—
1222C2×C42—111no—
1223C2×C42—111no—
1224C2×C42—111no—
1225C2×C42—111no—
1226C2×C42—224no—
1227C2×C42C22×D1111yescharacteristic
1228C2×C42C22×D1111yescharacteristic
1229C2×C42C22×D1111yescharacteristic
1230C2×C42C22×D1111yescharacteristic
1231#95—111no—
1232#95—111no—
1233#95—111no—
1234#95—111no—
1235#95—111no—
1236#95—111no—
1237#95—111no—
1238#95—111no—
1239#95—111no—
1240#95—111no—
1241#95—111no—
1242#95—111no—
1243#95—111no—
1244#95—111no—
1245#95—111no—
1246#95—111no—
1247#95—111no—
1248#95—111no—
1249#95—111no—
1250#95—111no—
1251#95—111no—
1252#95—111no—
1253#95—111no—
1254#95—111no—
1255#95—111no—
1256#95—111no—
1257#95C22×D1111yescharacteristic
1258#95C22×D1111yescharacteristic
1259#95C22×D1111yescharacteristic
1260#95C22×D1111yescharacteristic
1261#95C22×D1111yescharacteristic
1262#95C22×D1111yescharacteristic
1263C2×C11—42no—
1264C2×C11—42no—
1265C2×C11—81no—
1266C2×C11C2×#52511yescharacteristic
1267C2×C11C2×#53411yescharacteristic
1268C2×C11#344911yescharacteristic
1269C2×C11#345911yescharacteristic
1270C2×C11#345911yescharacteristic
1271C2×C11#346011yescharacteristic
1272C2×C11#346011yescharacteristic
1273D11—24no—
1274D11—42no—
1275D11—42no—
1276D11—81no—
1277C24—111no—
1278C24—111no—
1279C24—111no—
1280C24—114no—
1281C24—114no—
1282C24—111no—
1283C24—222no—
1284C24—222no—
1285C24—222no—
1286C24—222no—
1287C24—441no—
1288C24—441no—
1289C24—441no—
1290C24—441no—
1291C24—441no—
1292C24—441no—
1293C24—441no—
1294C24—441no—
1295C24C23×D1111yescharacteristic
1296C24C23×D1111yescharacteristic
1297C24C23×D1111yescharacteristic
1298#41—4416no—
1299C2×Q8—222no—
1300C2×Q8—441no—
1301C2×Q8—441no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—222no—
1312C2×D4—222no—
1313C2×D4—222no—
1314C2×D4—222no—
1315C2×D4—222no—
1316C2×D4—222no—
1317C2×D4—222no—
1318C2×D4—222no—
1319C2×D4—222no—
1320C2×D4—222no—
1321C2×D4—2232no—
1322C2×D4—222no—
1323C2×D4—222no—
1324C2×D4—222no—
1325C2×D4—222no—
1326C2×D4—222no—
1327C2×D4—222no—
1328C2×D4—222no—
1329C2×D4—222no—
1330C2×D4—222no—
1331C2×D4—222no—
1332C2×D4—222no—
1333C2×D4—222no—
1334C2×D4—441no—
1335C2×D4—441no—
1336C2×D4—441no—
1337C2×D4—441no—
1338C2×D4—441no—
1339C2×D4—441no—
1340C2×D4—441no—
1341C2×D4—441no—
1342C2×D4—441no—
1343C2×D4—441no—
1344C2×D4—441no—
1345C2×D4—441no—
1346C2×D4—441no—
1347C2×D4—441no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—111no—
1357C22×C4—111no—
1358C22×C4—111no—
1359C22×C4—114no—
1360C22×C4—114no—
1361C22×C4—114no—
1362C22×C4—114no—
1363C22×C4—114no—
1364C22×C4—114no—
1365C22×C4—111no—
1366C22×C4—111no—
1367C22×C4—111no—
1368C22×C4—111no—
1369C22×C4—111no—
1370C22×C4—111no—
1371C22×C4—111no—
1372C22×C4—111no—
1373C22×C4—111no—
1374C22×C4—222no—
1375C22×C4—222no—
1376C22×C4—222no—
1377C22×C4—222no—
1378C22×C4—222no—
1379C22×C4—222no—
1380C22×C4—222no—
1381C22×C4—222no—
1382C22×C4—222no—
1383C22×C4—222no—
1384C22×C4—222no—
1385C22×C4—222no—
1386C22×C4—222no—
1387C22×C4—222no—
1388C22×C4—222no—
1389C22×C4—222no—
1390C22×C4—4416no—
1391C22×C4—441no—
1392C22×C4—441no—
1393C22×C4—441no—
1394C22×C4—441no—
1395C22×C4—441no—
1396C22×C4—441no—
1397C22×C4—441no—
1398C22×C4—441no—
1399C22×C4—441no—
1400C22×C4—441no—
1401C22×C4—4416no—
1402C22×C4—441no—
1403C22×C4—441no—
1404C22×C4—441no—
1405C22×C4—441no—
1406C22×C4D4×D1114yes—
1407C22×C4C23×D1111yescharacteristic
1408C22×C4C23×D1111yescharacteristic
1409C22×C4C23×D1111yescharacteristic
1410C22×C4C23×D1111yescharacteristic
1411C22×C4C23×D1111yescharacteristic
1412C22×C4C23×D1111yescharacteristic
1413C22×C4C23×D1111yescharacteristic
1414C22×C4C23×D1111yescharacteristic
1415C22×C4C23×D1111yescharacteristic
1416C22×C4C23×D1111yescharacteristic
1417C22×C4C23×D1111yescharacteristic
1418C22×C4C23×D1111yescharacteristic
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—222no—
1427C4⋊C4—222no—
1428C4⋊C4—222no—
1429C4⋊C4—222no—
1430C4⋊C4—222no—
1431C4⋊C4—222no—
1432C4⋊C4—222no—
1433C4⋊C4—222no—
1434C4⋊C4—222no—
1435C4⋊C4—222no—
1436C4⋊C4—222no—
1437C4⋊C4—441no—
1438C4⋊C4—441no—
1439C4⋊C4—441no—
1440C4⋊C4—441no—
1441C4⋊C4—441no—
1442C4⋊C4—441no—
1443C4⋊C4—441no—
1444C4⋊C4—441no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—222no—
1458C22⋊C4—222no—
1459C22⋊C4—222no—
1460C22⋊C4—222no—
1461C22⋊C4—222no—
1462C22⋊C4—222no—
1463C22⋊C4—222no—
1464C22⋊C4—222no—
1465C22⋊C4—222no—
1466C22⋊C4—222no—
1467C22⋊C4—222no—
1468C22⋊C4—222no—
1469C22⋊C4—222no—
1470C22⋊C4—222no—
1471C22⋊C4—222no—
1472C22⋊C4—222no—
1473C22⋊C4—222no—
1474C22⋊C4—222no—
1475C22⋊C4—222no—
1476C22⋊C4—222no—
1477C22⋊C4—222no—
1478C22⋊C4—222no—
1479C22⋊C4—222no—
1480C22⋊C4—222no—
1481C22⋊C4—441no—
1482C22⋊C4—441no—
1483C22⋊C4—441no—
1484C22⋊C4—441no—
1485C22⋊C4—441no—
1486C22⋊C4—441no—
1487C22⋊C4—441no—
1488C22⋊C4—441no—
1489C22⋊C4—441no—
1490C22⋊C4—441no—
1491C22⋊C4—441no—
1492C22⋊C4—441no—
1493C22⋊C4—441no—
1494C22⋊C4—441no—
1495C22⋊C4—441no—
1496C22⋊C4—441no—
1497C22⋊C4—441no—
1498C22⋊C4—441no—
1499C42—22no—
1500C42—22no—
1501C42—22no—
1502C42—22no—
1503C42—222no—
1504C42—222no—
1505C42—222no—
1506C42—222no—
1507C42—222no—
1508C42—222no—
1509C11#3456211yescharacteristic, complemented, Sylow
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—112no—
1530C23—112no—
1531C23—112no—
1532C23—112no—
1533C23—112no—
1534C23—228no—
1535C23—228no—
1536C23—221no—
1537C23—221no—
1538C23—221no—
1539C23—221no—
1540C23—221no—
1541C23—221no—
1542C23—221no—
1543C23—221no—
1544C23—221no—
1545C23—221no—
1546C23—221no—
1547C23—221no—
1548C23—221no—
1549C23—221no—
1550C23—221no—
1551C23—221no—
1552C23—221no—
1553C23—221no—
1554C23—221no—
1555C23—221no—
1556C23—221no—
1557C23—221no—
1558C23—221no—
1559C23—444no—
1560C23—444no—
1561C23—444no—
1562C23—444no—
1563C23—444no—
1564C23—444no—
1565C23—444no—
1566C23—444no—
1567C23—444no—
1568C23—444no—
1569C23—444no—
1570C23—444no—
1571C23C2×D4×D1112yes—
1572C23#41×D1112yes—
1573C23C24×D1111yescharacteristic
1574Q8—444no—
1575D4—28no—
1576D4—44no—
1577D4—44no—
1578D4—228no—
1579D4—228no—
1580D4—228no—
1581D4—444no—
1582D4—444no—
1583D4—444no—
1584D4—444no—
1585D4—444no—
1586D4—444no—
1587D4—444no—
1588D4—444no—
1589D4—444no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—28no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—44no—
1623C2×C4—44no—
1624C2×C4—112no—
1625C2×C4—112no—
1626C2×C4—112no—
1627C2×C4—228no—
1628C2×C4—221no—
1629C2×C4—221no—
1630C2×C4—221no—
1631C2×C4—221no—
1632C2×C4—221no—
1633C2×C4—221no—
1634C2×C4—228no—
1635C2×C4—228no—
1636C2×C4—221no—
1637C2×C4—221no—
1638C2×C4—221no—
1639C2×C4—221no—
1640C2×C4—221no—
1641C2×C4—221no—
1642C2×C4—221no—
1643C2×C4—221no—
1644C2×C4—221no—
1645C2×C4—221no—
1646C2×C4—221no—
1647C2×C4—221no—
1648C2×C4—221no—
1649C2×C4—221no—
1650C2×C4—221no—
1651C2×C4—221no—
1652C2×C4—221no—
1653C2×C4—221no—
1654C2×C4—221no—
1655C2×C4—221no—
1656C2×C4—221no—
1657C2×C4—221no—
1658C2×C4—221no—
1659C2×C4—221no—
1660C2×C4—221no—
1661C2×C4—221no—
1662C2×C4—221no—
1663C2×C4—444no—
1664C2×C4—444no—
1665C2×C4—444no—
1666C2×C4—444no—
1667C2×C4—444no—
1668C2×C4—444no—
1669C2×C4—444no—
1670C2×C4—444no—
1671C2×C4—444no—
1672C2×C4C2×D4×D1112yes—
1673C2×C4C2×D4×D1112yes—
1674C2×C4#6703712yes—
1675C2×C4#41×D1112yes—
1676C2×C4#6704212yes—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—114no—
1699C22—222no—
1700C22—222no—
1701C22—222no—
1702C22—222no—
1703C22—222no—
1704C22—222no—
1705C22—222no—
1706C22—222no—
1707C22—222no—
1708C22—222no—
1709C22—222no—
1710C22—222no—
1711C22—4416no—
1712C22—4416no—
1713C22—441no—
1714C22—441no—
1715C22—441no—
1716C22—441no—
1717C22—441no—
1718C22—441no—
1719C22—441no—
1720C22—441no—
1721C22—441no—
1722C22—441no—
1723C22—441no—
1724C22—441no—
1725C22—441no—
1726C22—441no—
1727C22—441no—
1728C22C22×D4×D1111yescharacteristic
1729C22C2×#6703711yescharacteristic
1730C22C2×#41×D1111yescharacteristic
1731C22C2×#41×D1111yescharacteristic
1732C22C2×#6704211yescharacteristic
1733C22#1062345311yescharacteristic
1734C22#1062345311yescharacteristic
1735C4—22no—
1736C4—22no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—222no—
1747C4—222no—
1748C4—222no—
1749C4—441no—
1750C4—441no—
1751C4—441no—
1752C4—441no—
1753C4—441no—
1754C4—441no—
1755C4—441no—
1756C4—441no—
1757C4—441no—
1758C4#1062313614yes—
1759C2—42no—
1760C2—42no—
1761C2—81no—
1762C2—224no—
1763C2—442no—
1764C2—442no—
1765C2—881no—
1766C2D11×#52511yescharacteristic
1767C2C2×#1062313611yescharacteristic
1768C2#1308194611yescharacteristic
1769C2#1308202311yescharacteristic
1770C2#1308202611yescharacteristic
1771C2#1308203011yescharacteristic
1772C2#1308203711yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC11×#2392C2
hypercenter#2392D11
hypocenterC11#34562
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #2392

Complements

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

NH ≅ G/Ntype
1. C2×#10623078C2semidirect
2. C2×C4×D4×D11C2semidirect
3. #13074535C2semidirect
4. #13074532C2semidirect
5. #13074502C2semidirect
6. #13074499C2semidirect
7. #13074466C2semidirect
8. #13074464C2semidirect
9. #13074462C2semidirect
10. #13074460C2semidirect
11. #13074434C2semidirect
12. #13074426C2semidirect
13. #13074390C2semidirect
14. #13074388C2semidirect
15. #13074363C2semidirect
16. #13074355C2semidirect
17. #13074329C2semidirect
18. #13074327C2semidirect
19. #13071879C2semidirect
20. #13071877C2semidirect
21. #13071858C2semidirect
22. #13071858C2semidirect
23. #13071852C2semidirect
24. #13071832C2semidirect
25. #13071831C2semidirect
26. C4×#66947C2semidirect
27. C4×#66936C2semidirect
28. C4×#66935C2semidirect
29. C4×#66990C2semidirect
30. #13070995C2semidirect
31. C11×#2392C2semidirect
33. C22×#4339C22semidirect
37. C2×C4×D4×C11C22semidirect
38. C2×C4×D4×C11C22semidirect
39. C2×C11×#117C22semidirect
40. C2×#66992C22semidirect
47. C2×C4×C22⋊D11C22semidirect
48. C2×C4×C22⋊D11C22semidirect
49. C2×C4×C22⋊D11C22semidirect
50. C2×#66979C22semidirect
55. C2×#66947C22semidirect
60. C2×#66936C22semidirect
67. C2×#66931C22semidirect
70. C2×C4×D44C22semidirect
71. C2×#66925C22semidirect
73. C11×#398C22semidirect
74. C11×#397C22semidirect
75. C11×#396C22semidirect
76. C11×#396C22semidirect
78. C11×#394C22semidirect
79. C11×#394C22semidirect
81. C4×C11×C4⋊C4C22semidirect
82. C4×C11×C22⋊C4C22semidirect
83. C4×C11×C22⋊C4C22semidirect
87. #10622836C22semidirect
89. #10622835C22semidirect
90. #10622833C22semidirect
91. C4×C22⋊Dic11C22semidirect
92. C4×C22⋊Dic11C22semidirect
93. #10622607C22semidirect
94. #10622607C22semidirect
95. #10622607C22semidirect
96. #10622607C22semidirect
97. #10622606C22semidirect
98. #10622605C22semidirect
100. #10622604C22semidirect
101. #10622604C22semidirect
102. #10622603C22semidirect
105. #10622602C22semidirect
108. #10622600C22semidirect
109. #10622600C22semidirect
110. #10622597C22semidirect
111. #10622597C22semidirect
112. #10622597C22semidirect
113. #10622596C22semidirect
114. #10622594C22semidirect
115. #10622592C22semidirect
118. #10622574C22semidirect
119. #10622574C22semidirect
120. #10622574C22semidirect
121. #10622574C22semidirect
122. #10622574C22semidirect
126. #10622573C22semidirect
129. #10622572C22semidirect
130. #10622572C22semidirect
131. #10622572C22semidirect
132. #10622571C22semidirect
135. #10622569C22semidirect
140. #10622566C22semidirect
141. #10622565C22semidirect
142. #10622565C22semidirect
143. #10622565C22semidirect
144. #10622564C22semidirect
145. #10622563C22semidirect
146. #10622562C22semidirect
147. #10622561C22semidirect
148. #10622561C22semidirect
149. #10622560C22semidirect
150. #10622559C22semidirect
151. #10622558C22semidirect
152. #10622556C22semidirect
153. #10622556C22semidirect
156. C4×(C2×D11)⋊C4C22semidirect
157. C4×(C2×D11)⋊C4C22semidirect
158. C4×(C2×D11)⋊C4C22semidirect
159. C4×(C2×D11)⋊C4C22semidirect
160. C4×(C2×D11)⋊C4C22semidirect
161. C4×(C2×D11)⋊C4C22semidirect
162. C4×C4⋊Dic11C22semidirect
163. C4×Dic11⋊C4C22semidirect
164. C4×Dic11⋊C4C22semidirect
165. #10622288C22semidirect
166. #10622288C22semidirect
167. #10622288C22semidirect
168. #10622287C22semidirect
169. #10622286C22semidirect
171. #10622285C22semidirect
173. #10622282C22semidirect
176. #10622281C22semidirect
179. #10622278C22semidirect
182. #10622273C22semidirect
183. #10622271C22semidirect
184. #10622270C22semidirect
185. #10622269C22semidirect
186. #10622268C22semidirect
187. #10622267C22semidirect
188. #10622265C22semidirect
222. C22×C4×D11D4semidirect
408. C23×D11#41semidirect
530. C2×C4×D11#41semidirect
647. #2392D11semidirect
854. C2×C4×D4C2×D11semidirect
855. C2×C4×D4C2×D11semidirect
858. C2×#117C2×D11semidirect
872. #398C2×D11semidirect
882. #397C2×D11semidirect
889. #396C2×D11semidirect
890. #396C2×D11semidirect
913. #394C2×D11semidirect
914. #394C2×D11semidirect
966. C4×C4⋊C4C2×D11semidirect
977. C4×C22⋊C4C2×D11semidirect
978. C4×C22⋊C4C2×D11semidirect
1509. C11#34562semidirect

Maximal subgroups

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

subgroupindex
C2×#106230782
C2×C4×D4×D112
#130745352
#130745322
#130745022
#130744992
#130744662
#130744642
#130744622
#130744602
#130744342
#130744262
#130743902
#130743882
#130743632
#130743552
#130743292
#130743272
#130718792
#130718772
#130718582
#130718522
#130718322
#130718312
C4×#669472
C4×#669362
C4×#669352
C4×#669902
#130709952
C11×#23922
#3456211