Finite Group Databasebeta

← C4×#10623186 #14913605

Subgroups — C4×#10623186 #14913605

Order 2816.

3268 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623186C211yesmaximal, characteristic
2C2×C4×#4339C211yesmaximal, characteristic, complemented
3C2×C4×#4341C211yesmaximal, characteristic, complemented
4#13071671C211yesmaximal, characteristic, complemented
5#13071646C211yesmaximal, characteristic, complemented
6#13071638C211yesmaximal, characteristic, complemented
7#13071629C211yesmaximal, characteristic, complemented
8#13071627C211yesmaximal, characteristic, complemented
9#13071615C211yesmaximal, characteristic, complemented
10#13071612C211yesmaximal, characteristic, complemented
11#13071606C211yesmaximal, characteristic, complemented
12#13071605C211yesmaximal, characteristic, complemented
13#13071562C211yesmaximal, characteristic, complemented
14#13071514C211yesmaximal, characteristic, complemented
15#13071482C211yesmaximal, characteristic, complemented
16#13071480C211yesmaximal, characteristic, complemented
17#13071442C211yesmaximal, characteristic, complemented
18#13071440C211yesmaximal, characteristic, complemented
19C4×#66941C211yesmaximal, characteristic, complemented
20C4×#66949C211yesmaximal, characteristic, complemented
21C4×#66931C211yesmaximal, characteristic, complemented
22C4×#66947C211yesmaximal, characteristic, complemented
23C4×#66939C211yesmaximal, characteristic, complemented
24C4×#66936C211yesmaximal, characteristic, complemented
25C4×#66937C211yesmaximal, characteristic, complemented
26C4×#66992C211yesmaximal, characteristic, complemented
27C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
28C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
29C2×C4×Dic11⋊C4C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D11C211yesmaximal, characteristic, complemented
31C4×C11×#123C211yesmaximal, characteristic, complemented
32C22×#4341C2211yescharacteristic
33C22×#4339C2211yescharacteristic
34C2×C11×#123C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C22×C42×C11C2211yescharacteristic
37C2×#66992C2211yescharacteristic
38C2×D4×Dic11C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic
43C2×C4×C22⋊D11C2211yescharacteristic
44C2×C4×C22⋊D11C2211yescharacteristic
45C2×#66979C2211yescharacteristic
46C22×Dic11⋊C4C2211yescharacteristic
47C22×Dic11⋊C4C2211yescharacteristic
48C22×C4×Dic11C2211yescharacteristic
49C22×C4×Dic11C2211yescharacteristic
50C22×C4×Dic11C2211yescharacteristic
51#10623186C4116yesdirect product factor
52C4×#4341—28no—
53C2×#66949C2211yescharacteristic
54C2×#66947C2211yescharacteristic
55C2×#66945C2211yescharacteristic
56C2×C4⋊C4×D11C2211yescharacteristic
57C2×C4⋊C4×D11C2211yescharacteristic
58C2×#66941C2211yescharacteristic
59C2×#66940C2211yescharacteristic
60C2×#66939C2211yescharacteristic
61C2×#66937C2211yescharacteristic
62C2×#66936C2211yescharacteristic
63C2×(C22⋊D11)⋊C4C2211yescharacteristic
64C2×(C22⋊D11)⋊C4C2211yescharacteristic
65C2×(C22⋊D11)⋊C4C2211yescharacteristic
66C2×(C22⋊D11)⋊C4C2211yescharacteristic
67C2×(C22⋊D11)⋊C4C2211yescharacteristic
68C2×(C22⋊D11)⋊C4C2211yescharacteristic
69C2×#66931C2211yescharacteristic
70C2×#66930C2211yescharacteristic
71C2×#66930C2211yescharacteristic
72C4×#4339—28no—
73C2×C4×D44C2211yescharacteristic
74C2×C4×D44C2211yescharacteristic
75C2×#66925C2211yescharacteristic
76C2×#66925C2211yescharacteristic
77C2×C42×D11C2211yescharacteristic
78C2×C42×D11C2211yescharacteristic
79C2×C42×D11C2211yescharacteristic
80C2×C42×D11C2211yescharacteristic
81C2×C4×Dic22C2211yescharacteristic
82C2×C4×Dic22C2211yescharacteristic
83C2×C4×Dic22C2211yescharacteristic
84C11×#388C2211yescharacteristic
85C11×#388C2211yescharacteristic
86C11×#387C2211yescharacteristic
87C11×#387C2211yescharacteristic
88C11×#386C2211yescharacteristic
89C11×#385C2211yescharacteristic
90C11×#381C2211yescharacteristic
91C4×C11×C4⋊C4C2211yescharacteristic
92C4×C11×C4⋊C4C2211yescharacteristic
93C4×C11×C22⋊C4C2211yescharacteristic
94C4×C11×C22⋊C4C2211yescharacteristic
95C4×C11×C22⋊C4C2211yescharacteristic
96#10622833C2211yescharacteristic
97C4×C22⋊Dic11C2211yescharacteristic
98C2×C11⋊#95C2211yescharacteristic
99C2×C11⋊#95C2211yescharacteristic
100#10622603C2211yescharacteristic
101#10622603C2211yescharacteristic
102#10622602C2211yescharacteristic
103#10622602C2211yescharacteristic
104#10622598C2211yescharacteristic
105#10622594C2211yescharacteristic
106#10622594C2211yescharacteristic
107#10622589C2211yescharacteristic
108C4⋊C4×Dic11C2211yescharacteristic
109C4⋊C4×Dic11C2211yescharacteristic
110#10622586C2211yescharacteristic
111#10622585C2211yescharacteristic
112#10622585C2211yescharacteristic
113#10622571C2211yescharacteristic
114#10622571C2211yescharacteristic
115#10622570C2211yescharacteristic
116#10622570C2211yescharacteristic
117#10622569C2211yescharacteristic
118#10622569C2211yescharacteristic
119#10622564C2211yescharacteristic
120#10622564C2211yescharacteristic
121#10622563C2211yescharacteristic
122#10622563C2211yescharacteristic
123#10622559C2211yescharacteristic
124#10622558C2211yescharacteristic
125#10622558C2211yescharacteristic
126#10622556C2211yescharacteristic
127#10622555C2211yescharacteristic
128#10622555C2211yescharacteristic
129C22⋊C4×Dic11C2211yescharacteristic
130C22⋊C4×Dic11C2211yescharacteristic
131C22⋊C4×Dic11C2211yescharacteristic
132C22⋊C4×Dic11C2211yescharacteristic
133C4×(C2×D11)⋊C4C2211yescharacteristic
134C4×(C2×D11)⋊C4C2211yescharacteristic
135C4×(C2×D11)⋊C4C2211yescharacteristic
136C4×(C2×D11)⋊C4C2211yescharacteristic
137C4×C4⋊Dic11C2211yescharacteristic
138C4×C4⋊Dic11C2211yescharacteristic
139C4×Dic11⋊C4C2211yescharacteristic
140C4×Dic11⋊C4C2211yescharacteristic
141C4×Dic11⋊C4C2211yescharacteristic
142C4×Dic11⋊C4C2211yescharacteristic
143C4×Dic11⋊C4C2211yescharacteristic
144C4×Dic11⋊C4C2211yescharacteristic
145C4×Dic11⋊C4C2211yescharacteristic
146C4×Dic11⋊C4C2211yescharacteristic
147C4×Dic11⋊C4C2211yescharacteristic
148C4×Dic11⋊C4C2211yescharacteristic
149C42×Dic11C2211yescharacteristic
150#10622283C2211yescharacteristic
151#10622283C2211yescharacteristic
152#10622282C2211yescharacteristic
153#10622282C2211yescharacteristic
154#10622281C2211yescharacteristic
155#10622281C2211yescharacteristic
156#10622280C2211yescharacteristic
157#10622280C2211yescharacteristic
158#10622279C2211yescharacteristic
159#10622279C2211yescharacteristic
160#10622279C2211yescharacteristic
161#10622279C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622277C2211yescharacteristic
165#10622277C2211yescharacteristic
166D11×#95C2211yescharacteristic
167D11×#95C2211yescharacteristic
168#10622268C2211yescharacteristic
169#10622268C2211yescharacteristic
170#10622267C2211yescharacteristic
171#10622267C2211yescharacteristic
172#10622266C2211yescharacteristic
173#10622266C2211yescharacteristic
174#10622265C2211yescharacteristic
175#10622265C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622262C2211yescharacteristic
180#10622262C2211yescharacteristic
181#10622262C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188#10622259C2211yescharacteristic
189#10622259C2211yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C2×#4341—24no—
206C2×#4341—24no—
207C2×#4341C2×C418yescomplemented
208C2×#4339—24no—
209C2×#4339—24no—
210C2×#4339C2×C418yescomplemented
211C22×D44C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
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×Dic22C2311yescharacteristic
223C22×Dic22C2311yescharacteristic
224C11×#123C2×C418yescomplemented
225C4×D4×C11—24no—
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C42×C11—24no—
240C2×C42×C11C2311yescharacteristic
241C2×C42×C11C2311yescharacteristic
242C2×C42×C11C2311yescharacteristic
243C2×C42×C11C2311yescharacteristic
244C2×C42×C11C2311yescharacteristic
245C2×C42×C11C2311yescharacteristic
246C2×C42×C11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253#66992C2×C418yescomplemented
254D4×Dic11—24no—
255C4×C22⋊D11—24no—
256C4×C22⋊D11—24no—
257C4×C22⋊D11—24no—
258C4×C22⋊D11—24no—
259C4×C22⋊D11—24no—
260C4×C22⋊D11D418yescomplemented
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275#66979—24no—
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×Dic11⋊C4—24no—
284C2×Dic11⋊C4C2×C418yescomplemented
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×C4×Dic11—24no—
306C2×C4×Dic11—24no—
307C2×C4×Dic11—24no—
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
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
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332#66949C2×C418yescomplemented
333#66947C2×C418yescomplemented
334#66945—24no—
335C4⋊C4×D11—24no—
336C4⋊C4×D11C2×C418yescomplemented
337#66941C2×C418yescomplemented
338#66940—24no—
339#66939C2×C418yescomplemented
340#66937C2×C418yescomplemented
341#66936C2×C418yescomplemented
342(C22⋊D11)⋊C4—24no—
343(C22⋊D11)⋊C4—24no—
344(C22⋊D11)⋊C4—24no—
345(C22⋊D11)⋊C4—24no—
346(C22⋊D11)⋊C4C2×C418yescomplemented
347(C22⋊D11)⋊C4C2×C418yescomplemented
348#66931C2×C418yescomplemented
349#66930—24no—
350#66930—24no—
351C4×D44—24no—
352C4×D44—24no—
353#66925—24no—
354#66925—24no—
355C42×D11—24no—
356C42×D11—24no—
357C42×D11—24no—
358C42×D11—24no—
359C4×Dic22—24no—
360C4×Dic22—24no—
361C4×Dic22—24no—
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
391C11⋊#95C2311yescharacteristic
392C11⋊#95C2311yescharacteristic
393C11⋊#95C2311yescharacteristic
394C11⋊#95C2311yescharacteristic
395C11⋊#95C2311yescharacteristic
396C11⋊#95C2311yescharacteristic
397C11⋊#95C2311yescharacteristic
398C4×#547—111nomaximal, Sylow
399C24×C11C2411yescharacteristic
400C24×C11C2411yescharacteristic
401C23×D11C2411yescharacteristic
402C23×D11C2411yescharacteristic
403C2×D4×C11—22no—
404C2×D4×C11—22no—
405C2×D4×C11C22×C414yes—
406C22×C4×C11—22no—
407C22×C4×C11—22no—
408C22×C4×C11—22no—
409C22×C4×C11—22no—
410C22×C4×C11—22no—
411C22×C4×C11—22no—
412C22×C4×C11—22no—
413C22×C4×C11—22no—
414C22×C4×C11—22no—
415C22×C4×C11—41no—
416C22×C4×C11C22×C414yes—
417C22×C4×C11C2×D414yes—
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
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
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11C22×C414yes—
438C2×C22⋊D11C22×C414yes—
439C2×C22⋊D11C22×C414yes—
440C2×C22⋊D11C22×C414yes—
441C2×C22⋊D11C2×D414yes—
442C2×C22⋊D11#4114yes—
443C22×Dic11—22no—
444C22×Dic11—22no—
445C22×Dic11—22no—
446C22×Dic11—22no—
447C22×Dic11—22no—
448C22×Dic11—22no—
449C22×Dic11—22no—
450C22×Dic11—22no—
451C22×Dic11—22no—
452C22×Dic11—22no—
453C22×Dic11—22no—
454C22×Dic11—22no—
455C22×Dic11—41no—
456C22×Dic11—41no—
457C22×Dic11—41no—
458C22×Dic11C22×C414yes—
459C22×Dic11C22×C414yes—
460C22×Dic11C22×C414yes—
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475#4341—232no—
476#4339—232no—
477C2×D44—22no—
478C2×D44—22no—
479C2×D44C22×C414yes—
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—41no—
502C2×C4×D11—41no—
503C2×C4×D11—41no—
504C2×C4×D11—41no—
505C2×C4×D11C22×C414yes—
506C2×C4×D11C22×C414yes—
507C2×C4×D11C22×C414yes—
508C2×C4×D11C22×C414yes—
509C2×C4×D11C2×D414yes—
510C2×Dic22—22no—
511C2×Dic22—22no—
512C2×Dic22—22no—
513C2×Dic22—22no—
514C2×Dic22C22×C414yes—
515C2×Dic22C22×C414yes—
516C11×C4⋊C4—22no—
517C11×C4⋊C4—22no—
518C11×C4⋊C4—41no—
519C11×C4⋊C4C22×C414yes—
520C11×C4⋊C4C22×C414yes—
521C11×C22⋊C4—22no—
522C11×C22⋊C4—22no—
523C11×C22⋊C4—22no—
524C11×C22⋊C4—22no—
525C11×C22⋊C4—41no—
526C11×C22⋊C4C22×C414yes—
527C11×C22⋊C4C22×C414yes—
528C11×C22⋊C4C22×C414yes—
529C42×C11—22no—
530C42×C11—22no—
531C42×C11—22no—
532C42×C11—22no—
533C42×C11—22no—
534C42×C11—22no—
535C42×C11—22no—
536C22⋊Dic11—22no—
537C22⋊Dic11—22no—
538C22⋊Dic11—22no—
539C22⋊Dic11—41no—
540C22⋊Dic11C22×C414yes—
541C22⋊Dic11C2×D414yes—
542(C2×D11)⋊C4—22no—
543(C2×D11)⋊C4—22no—
544(C2×D11)⋊C4—22no—
545(C2×D11)⋊C4—22no—
546(C2×D11)⋊C4—22no—
547(C2×D11)⋊C4—22no—
548(C2×D11)⋊C4—22no—
549(C2×D11)⋊C4—41no—
550(C2×D11)⋊C4—41no—
551(C2×D11)⋊C4C22×C414yes—
552(C2×D11)⋊C4C22×C414yes—
553(C2×D11)⋊C4C22×C414yes—
554(C2×D11)⋊C4C22×C414yes—
555(C2×D11)⋊C4C2×D414yes—
556C4⋊Dic11—22no—
557C4⋊Dic11—22no—
558C4⋊Dic11—22no—
559C4⋊Dic11—22no—
560C4⋊Dic11—41no—
561C4⋊Dic11C22×C414yes—
562C4⋊Dic11C22×C414yes—
563Dic11⋊C4—22no—
564Dic11⋊C4—22no—
565Dic11⋊C4—22no—
566Dic11⋊C4—22no—
567Dic11⋊C4—22no—
568Dic11⋊C4—22no—
569Dic11⋊C4—22no—
570Dic11⋊C4—22no—
571Dic11⋊C4—22no—
572Dic11⋊C4—22no—
573Dic11⋊C4—22no—
574Dic11⋊C4—22no—
575Dic11⋊C4C22×C414yes—
576Dic11⋊C4C22×C414yes—
577Dic11⋊C4C22×C414yes—
578Dic11⋊C4C22×C414yes—
579Dic11⋊C4C22×C414yes—
580Dic11⋊C4C22×C414yes—
581Dic11⋊C4C2×D414yes—
582Dic11⋊C4#4114yescomplemented
583C4×Dic11—22no—
584C4×Dic11—22no—
585C4×Dic11—22no—
586C4×Dic11—22no—
587C4×Dic11—22no—
588C4×Dic11—22no—
589C4×Dic11—22no—
590C4×Dic11—22no—
591C4×Dic11—22no—
592C4×Dic11—22no—
593C4×Dic11—22no—
594C4×Dic11—22no—
595C4×Dic11—22no—
596C4×Dic11—22no—
597C4×Dic11—22no—
598C4×Dic11—22no—
599C4×Dic11—22no—
600C4×Dic11—22no—
601C4×Dic11—22no—
602C4×Dic11—22no—
603C4×Dic11—41no—
604C4×Dic11C22×C414yes—
605C4×Dic11C2×D414yes—
606C4×Dic11#4114yescomplemented
607C2×#547—111no—
608C2×C4×#41—111no—
609C2×C4×#41—111no—
610#2365—111no—
611#2362—111no—
612#2362—111no—
613#2361—111no—
614#2361—111no—
615#2359—111no—
616#2359—111no—
617#2359—111no—
618#2359—111no—
619#2354—111no—
620D4×C4⋊C4—111no—
621#2344—111no—
622#2344—111no—
623#2339—111no—
624#2339—111no—
625C4×C4⋊Q8—111no—
626C4×C22⋊Q8—111no—
627C4×C22⋊Q8—111no—
628C4×#123—111no—
629C4×#123—111no—
630C4×#123—111no—
631C4×#123D1111yescharacteristic, complemented
632C4×#121—111no—
633C4×#121—111no—
634C42×D4—111no—
635C42×D4—111no—
636C2×C4×C4⋊C4—111no—
637C2×C4×C4⋊C4—111no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11C23×C412yes—
649C23×C11C23×C412yes—
650C23×C11C22×D412yes—
651C23×C11C2×#4112yes—
652C23×C11C2511yescharacteristic
653C22×D11—21no—
654C22×D11—21no—
655C22×D11—21no—
656C22×D11—21no—
657C22×D11—21no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11C23×C412yes—
664C22×D11C23×C412yes—
665C22×D11C22×D412yes—
666C22×D11C2×#4112yes—
667D4×C11—28no—
668C2×C4×C11—28no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—28no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—44no—
700C2×C4×C11—44no—
701C2×C4×C11C23×C412yes—
702C2×C4×C11C23×C412yes—
703C2×C4×C11C23×C412yes—
704C2×C4×C11C23×C412yes—
705C2×C4×C11C23×C412yes—
706C2×C4×C11C22×D412yes—
707C2×C4×C11C22×D412yes—
708C2×C4×C11C2×#4112yes—
709C2×C4×C11C2×#4112yes—
710C2×C4×C112−1+412yes—
711C22⋊D11—28no—
712C22⋊D11—28no—
713C22⋊D11—28no—
714C22⋊D11C4×D4116yescomplemented
715C2×Dic11—28no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—28no—
733C2×Dic11—28no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—44no—
747C2×Dic11—44no—
748C2×Dic11—44no—
749C2×Dic11C23×C412yes—
750C2×Dic11C23×C412yes—
751C2×Dic11C23×C412yes—
752C2×Dic11C23×C412yes—
753C2×Dic11C23×C412yes—
754C2×Dic11C23×C412yes—
755C2×Dic11C22×D412yes—
756C2×Dic11C22×D412yes—
757C2×Dic11C22×D412yes—
758C2×Dic11C2×#4112yes—
759C2×Dic11C2×#4112yes—
760C2×Dic11C2×#4112yes—
761C2×Dic11C2×#4112yes—
762C2×Dic11C2×#4112yes—
763D44—28no—
764C4×D11—28no—
765C4×D11—28no—
766C4×D11—28no—
767C4×D11—28no—
768C4×D11—28no—
769C4×D11—44no—
770C4×D11—44no—
771C4×D11—44no—
772C4×D11—44no—
773C4×D11—44no—
774Dic22—28no—
775Dic22—28no—
776C22×#41—111no—
777C22×#41—111no—
778#547—1116no—
779C2×C4⋊Q8—111no—
780C2×#123—111no—
781C2×#123—111no—
782C2×#123—111no—
783C2×#123C2×D1111yescharacteristic
784C2×C22⋊Q8—111no—
785C2×C22⋊Q8—111no—
786C2×#121—111no—
787C2×#121—111no—
788C4×#41—228no—
789C4×#41—228no—
790C2×C4×Q8—111no—
791C2×C4×Q8—111no—
792C2×C4×Q8—111no—
793C2×C4×Q8—111no—
794C2×C4×D4—111no—
795C2×C4×D4—111no—
796C2×C4×D4—111no—
797C2×C4×D4—111no—
798C2×C4×D4—111no—
799C2×C4×D4—111no—
800C2×C4×D4—111no—
801C2×C4×D4—111no—
802C2×C4×D4—111no—
803C2×C4×D4—111no—
804C2×C4×D4—111no—
805C2×C4×D4—111no—
806C2×C4×D4—111no—
807C2×C4×D4—111no—
808C2×C4×D4—111no—
809C2×C4×D4C2×D1111yescharacteristic
810C2×#117—111no—
811C2×#117—111no—
812C2×#117—111no—
813C2×#117—111no—
814C2×#117—111no—
815C2×#117—111no—
816C22×C4⋊C4—111no—
817C22×C4⋊C4—111no—
818C22×C4⋊C4—111no—
819C22×C4⋊C4—111no—
820C22×C42—111no—
821C22×C42—111no—
822C22×C42—111no—
823C22×C42—111no—
824C22×C42—111no—
825C22×C42—111no—
826C22×C42—111no—
827C22×C42C2×D1111yescharacteristic
828#391—111no—
829#391—111no—
830#391—111no—
831#391—111no—
832#390—111no—
833#390—111no—
834#389—111no—
835#389—111no—
836#389—111no—
837#389—111no—
838#389—111no—
839#389—111no—
840#389—111no—
841#389—111no—
842#388—111no—
843#388—111no—
844#388—111no—
845#388—111no—
846#388—111no—
847#388—111no—
848#388—111no—
849#388—111no—
850#388—111no—
851#388—111no—
852#388C2×D1111yescharacteristic
853#388C2×D1111yescharacteristic
854#387—111no—
855#387—111no—
856#387—111no—
857#387—111no—
858#387—111no—
859#387—111no—
860#387—111no—
861#387—111no—
862#387—111no—
863#387—111no—
864#387C2×D1111yescharacteristic
865#387C2×D1111yescharacteristic
866#386—111no—
867#386—111no—
868#386—111no—
869#386—111no—
870#386—111no—
871#386—111no—
872#386—111no—
873#386C2×D1111yescharacteristic
874#385—111no—
875#385—111no—
876#385—111no—
877#385—111no—
878#385—111no—
879#385—111no—
880#385—111no—
881#385C2×D1111yescharacteristic
882#384—111no—
883#381—111no—
884#381—111no—
885#381—111no—
886#381C2×D1111yescharacteristic
887#380—111no—
888#380—111no—
889#380—111no—
890#380—111no—
891C4×C4⋊C4—111no—
892C4×C4⋊C4—111no—
893C4×C4⋊C4—111no—
894C4×C4⋊C4—111no—
895C4×C4⋊C4—111no—
896C4×C4⋊C4—111no—
897C4×C4⋊C4—111no—
898C4×C4⋊C4—111no—
899C4×C4⋊C4—111no—
900C4×C4⋊C4—111no—
901C4×C4⋊C4—111no—
902C4×C4⋊C4—111no—
903C4×C4⋊C4—111no—
904C4×C4⋊C4—111no—
905C4×C4⋊C4—111no—
906C4×C4⋊C4—111no—
907C4×C4⋊C4—111no—
908C4×C4⋊C4—111no—
909C4×C4⋊C4—111no—
910C4×C4⋊C4—111no—
911C4×C4⋊C4C2×D1111yescharacteristic
912C4×C4⋊C4C2×D1111yescharacteristic
913C4×C22⋊C4—111no—
914C4×C22⋊C4—111no—
915C4×C22⋊C4—111no—
916C4×C22⋊C4—111no—
917C4×C22⋊C4—111no—
918C4×C22⋊C4—111no—
919C4×C22⋊C4—111no—
920C4×C22⋊C4—111no—
921C4×C22⋊C4—111no—
922C4×C22⋊C4—111no—
923C4×C22⋊C4—111no—
924C4×C22⋊C4—111no—
925C4×C22⋊C4—111no—
926C4×C22⋊C4C2×D1111yescharacteristic
927C4×C22⋊C4C2×D1111yescharacteristic
928C4×C22⋊C4C2×D1111yescharacteristic
929C2×#95—111no—
930C2×#95—111no—
931C2×#95—111no—
932C2×#95—111no—
933C43—111no—
934C22×C11—22no—
935C22×C11—22no—
936C22×C11—22no—
937C22×C11—22no—
938C22×C11—22no—
939C22×C11—22no—
940C22×C11—22no—
941C22×C11—22no—
942C22×C11—22no—
943C22×C11—41no—
944C22×C11—41no—
945C22×C11—41no—
946C22×C11—41no—
947C22×C11C2×C4×D414yes—
948C22×C11C24×C411yescharacteristic
949C22×C11C23×D411yescharacteristic
950C22×C11C22×#4111yescharacteristic
951C22×C11C22×#4111yescharacteristic
952C22×C11C22×#4111yescharacteristic
953C22×C11C2×2−1+411yescharacteristic
954C22×C11#58511yescharacteristic
955C2×D11—22no—
956C2×D11—22no—
957C2×D11—22no—
958C2×D11—22no—
959C2×D11—22no—
960C2×D11—22no—
961C2×D11—22no—
962C2×D11—22no—
963C2×D11—22no—
964C2×D11—41no—
965C2×D11—41no—
966C2×D11—41no—
967C2×D11—41no—
968C2×D11C2×C4×D414yes—
969C4×C11—22no—
970C4×C11—22no—
971C4×C11—22no—
972C4×C11—22no—
973C4×C11—22no—
974C4×C11—22no—
975C4×C11—22no—
976C4×C11—41no—
977C4×C11—41no—
978C4×C11—41no—
979C4×C11—41no—
980C4×C11—41no—
981C4×C11#54714yescomplemented
982Dic11—22no—
983Dic11—22no—
984Dic11—22no—
985Dic11—22no—
986Dic11—22no—
987Dic11—22no—
988Dic11—22no—
989Dic11—22no—
990Dic11—41no—
991Dic11—41no—
992Dic11—41no—
993Dic11—41no—
994Dic11C2×C4×D414yes—
995Dic11C4×#4114yescomplemented
996C2×#41—118no—
997C2×#41—118no—
998C2×#41—224no—
999C2×#41—224no—
1000C2×#41—224no—
1001C2×#41—224no—
1002C22×Q8—111no—
1003C22×Q8—111no—
1004C22×D4—111no—
1005C22×D4—111no—
1006C22×D4—111no—
1007C22×D4—111no—
1008C22×D4—111no—
1009C22×D4C22×D1111yescharacteristic
1010C23×C4—111no—
1011C23×C4—111no—
1012C23×C4—111no—
1013C23×C4—111no—
1014C23×C4—111no—
1015C23×C4—111no—
1016C23×C4—111no—
1017C23×C4—111no—
1018C23×C4—111no—
1019C23×C4—111no—
1020C23×C4—111no—
1021C23×C4—111no—
1022C23×C4—111no—
1023C23×C4—111no—
1024C23×C4—111no—
1025C23×C4—111no—
1026C23×C4C22×D1111yescharacteristic
1027C23×C4C22×D1111yescharacteristic
1028C23×C4C22×D1111yescharacteristic
1029C23×C4C22×D1111yescharacteristic
1030C4⋊Q8—118no—
1031#123—118no—
1032#123—118no—
1033#123—118no—
1034#123C4×D1118yescomplemented
1035C22⋊Q8—118no—
1036C22⋊Q8—118no—
1037#121—118no—
1038#121—118no—
1039C4×Q8—224no—
1040C4×Q8—224no—
1041C4×Q8—224no—
1042C4×Q8—224no—
1043C4×D4—24no—
1044C4×D4—118no—
1045C4×D4—118no—
1046C4×D4—118no—
1047C4×D4—224no—
1048C4×D4—224no—
1049C4×D4—224no—
1050C4×D4—224no—
1051C4×D4—224no—
1052C4×D4—224no—
1053C4×D4—224no—
1054C4×D4—224no—
1055C4×D4—224no—
1056C4×D4—224no—
1057C4×D4—224no—
1058C4×D4—224no—
1059#117—224no—
1060#117—224no—
1061#117—224no—
1062#117—224no—
1063#117—224no—
1064#117—224no—
1065C2×C4⋊C4—118no—
1066C2×C4⋊C4—111no—
1067C2×C4⋊C4—111no—
1068C2×C4⋊C4—111no—
1069C2×C4⋊C4—111no—
1070C2×C4⋊C4—111no—
1071C2×C4⋊C4—111no—
1072C2×C4⋊C4—111no—
1073C2×C4⋊C4—111no—
1074C2×C4⋊C4—111no—
1075C2×C4⋊C4—111no—
1076C2×C4⋊C4—118no—
1077C2×C4⋊C4—111no—
1078C2×C4⋊C4—111no—
1079C2×C4⋊C4—111no—
1080C2×C4⋊C4—111no—
1081C2×C4⋊C4—111no—
1082C2×C4⋊C4—111no—
1083C2×C4⋊C4—111no—
1084C2×C4⋊C4—111no—
1085C2×C4⋊C4—111no—
1086C2×C4⋊C4—111no—
1087C2×C4⋊C4—111no—
1088C2×C4⋊C4—111no—
1089C2×C4⋊C4—111no—
1090C2×C4⋊C4—111no—
1091C2×C4⋊C4—111no—
1092C2×C4⋊C4—111no—
1093C2×C4⋊C4—111no—
1094C2×C4⋊C4—224no—
1095C2×C4⋊C4—224no—
1096C2×C4⋊C4C22×D1111yescharacteristic
1097C2×C4⋊C4C22×D1111yescharacteristic
1098C2×C4⋊C4C22×D1111yescharacteristic
1099C2×C4⋊C4C22×D1111yescharacteristic
1100C2×C4⋊C4C22×D1111yescharacteristic
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4C22×D1111yescharacteristic
1122C2×C22⋊C4C22×D1111yescharacteristic
1123C2×C22⋊C4C22×D1111yescharacteristic
1124C2×C22⋊C4C22×D1111yescharacteristic
1125C2×C22⋊C4C22×D1111yescharacteristic
1126C2×C22⋊C4C22×D1111yescharacteristic
1127C2×C22⋊C4C22×D1111yescharacteristic
1128C2×C22⋊C4C22×D1111yescharacteristic
1129C2×C42—24no—
1130C2×C42—111no—
1131C2×C42—111no—
1132C2×C42—111no—
1133C2×C42—111no—
1134C2×C42—111no—
1135C2×C42—111no—
1136C2×C42—111no—
1137C2×C42—111no—
1138C2×C42—111no—
1139C2×C42—111no—
1140C2×C42—111no—
1141C2×C42—111no—
1142C2×C42—111no—
1143C2×C42—111no—
1144C2×C42—111no—
1145C2×C42—111no—
1146C2×C42—111no—
1147C2×C42—111no—
1148C2×C42—111no—
1149C2×C42—111no—
1150C2×C42—111no—
1151C2×C42—111no—
1152C2×C42—111no—
1153C2×C42—111no—
1154C2×C42—224no—
1155C2×C42—224no—
1156C2×C42—224no—
1157C2×C42—224no—
1158C2×C42—224no—
1159C2×C42—224no—
1160C2×C42—224no—
1161C2×C42C22×D1111yescharacteristic
1162C2×C42C22×D1111yescharacteristic
1163C2×C42C22×D1111yescharacteristic
1164C2×C42C22×D1111yescharacteristic
1165C2×C42C22×D1111yescharacteristic
1166C2×C42C22×D1111yescharacteristic
1167C2×C42C22×D1111yescharacteristic
1168#95—111no—
1169#95—111no—
1170#95—111no—
1171#95—111no—
1172#95—111no—
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95—111no—
1180#95—111no—
1181#95—111no—
1182#95—111no—
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95—111no—
1193#95—111no—
1194#95C22×D1111yescharacteristic
1195#95C22×D1111yescharacteristic
1196#95C22×D1111yescharacteristic
1197#95C22×D1111yescharacteristic
1198#95C22×D1111yescharacteristic
1199#95C22×D1111yescharacteristic
1200#95C22×D1111yescharacteristic
1201#95C22×D1111yescharacteristic
1202#95C22×D1111yescharacteristic
1203#95C22×D1111yescharacteristic
1204C2×C11—24no—
1205C2×C11—42no—
1206C2×C11C22×C4×D411yescharacteristic
1207C2×C11C2×C4×#4111yescharacteristic
1208C2×C11C4×2−1+411yescharacteristic
1209C2×C11C2×#54711yescharacteristic
1210C2×C11D4×#4111yescharacteristic
1211C2×C11#347511yescharacteristic
1212C2×C11#348211yescharacteristic
1213D11—24no—
1214D11—42no—
1215C24—111no—
1216C24—111no—
1217C24C23×D1111yescharacteristic
1218C24C23×D1111yescharacteristic
1219#41—2232no—
1220#41—2232no—
1221C2×Q8—114no—
1222C2×Q8—114no—
1223C2×Q8—222no—
1224C2×Q8—222no—
1225C2×Q8—222no—
1226C2×Q8—222no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—114no—
1230C2×D4—114no—
1231C2×D4—114no—
1232C2×D4—114no—
1233C2×D4—114no—
1234C2×D4—114no—
1235C2×D4—114no—
1236C2×D4—222no—
1237C2×D4—222no—
1238C2×D4—222no—
1239C2×D4—222no—
1240C2×D4—222no—
1241C2×D4—222no—
1242C2×D4—222no—
1243C2×D4—222no—
1244C2×D4C2×C4×D1114yes—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—41no—
1255C22×C4—111no—
1256C22×C4—111no—
1257C22×C4—114no—
1258C22×C4—114no—
1259C22×C4—114no—
1260C22×C4—111no—
1261C22×C4—111no—
1262C22×C4—111no—
1263C22×C4—111no—
1264C22×C4—111no—
1265C22×C4—111no—
1266C22×C4—111no—
1267C22×C4—111no—
1268C22×C4—114no—
1269C22×C4—114no—
1270C22×C4—114no—
1271C22×C4—114no—
1272C22×C4—114no—
1273C22×C4—111no—
1274C22×C4—111no—
1275C22×C4—111no—
1276C22×C4—111no—
1277C22×C4—222no—
1278C22×C4—222no—
1279C22×C4—222no—
1280C22×C4—222no—
1281C22×C4—222no—
1282C22×C4—222no—
1283C22×C4—222no—
1284C22×C4—222no—
1285C22×C4—222no—
1286C22×C4—222no—
1287C22×C4—222no—
1288C22×C4—222no—
1289C22×C4—222no—
1290C22×C4—222no—
1291C22×C4—222no—
1292C22×C4—222no—
1293C22×C4—222no—
1294C22×C4—222no—
1295C22×C4—222no—
1296C22×C4—222no—
1297C22×C4—222no—
1298C22×C4—222no—
1299C22×C4—222no—
1300C22×C4—222no—
1301C22×C4—222no—
1302C22×C4—222no—
1303C22×C4—222no—
1304C22×C4—222no—
1305C22×C4—222no—
1306C22×C4—222no—
1307C22×C4—222no—
1308C22×C4—222no—
1309C22×C4—222no—
1310C22×C4—441no—
1311C22×C4—441no—
1312C22×C4—441no—
1313C22×C4—441no—
1314C22×C4—441no—
1315C22×C4—441no—
1316C22×C4—441no—
1317C22×C4C2×C4×D1114yes—
1318C22×C4D4×D1114yes—
1319C22×C4C23×D1111yescharacteristic
1320C22×C4C23×D1111yescharacteristic
1321C22×C4C23×D1111yescharacteristic
1322C22×C4C23×D1111yescharacteristic
1323C22×C4C23×D1111yescharacteristic
1324C22×C4C23×D1111yescharacteristic
1325C22×C4C23×D1111yescharacteristic
1326C22×C4C23×D1111yescharacteristic
1327C22×C4C23×D1111yescharacteristic
1328C22×C4C23×D1111yescharacteristic
1329C22×C4C23×D1111yescharacteristic
1330C22×C4C23×D1111yescharacteristic
1331C22×C4C23×D1111yescharacteristic
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—41no—
1335C4⋊C4—114no—
1336C4⋊C4—114no—
1337C4⋊C4—114no—
1338C4⋊C4—114no—
1339C4⋊C4—114no—
1340C4⋊C4—114no—
1341C4⋊C4—114no—
1342C4⋊C4—114no—
1343C4⋊C4—114no—
1344C4⋊C4—114no—
1345C4⋊C4—222no—
1346C4⋊C4—222no—
1347C4⋊C4—222no—
1348C4⋊C4—222no—
1349C4⋊C4—222no—
1350C4⋊C4—222no—
1351C4⋊C4—222no—
1352C4⋊C4—222no—
1353C4⋊C4—222no—
1354C4⋊C4—222no—
1355C4⋊C4—222no—
1356C4⋊C4—222no—
1357C4⋊C4—222no—
1358C4⋊C4—222no—
1359C4⋊C4—222no—
1360C4⋊C4—222no—
1361C4⋊C4—441no—
1362C4⋊C4C2×C4×D1114yes—
1363C4⋊C4C2×C4×D1114yes—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—41no—
1369C22⋊C4—114no—
1370C22⋊C4—114no—
1371C22⋊C4—114no—
1372C22⋊C4—114no—
1373C22⋊C4—114no—
1374C22⋊C4—114no—
1375C22⋊C4—114no—
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—441no—
1387C22⋊C4—441no—
1388C22⋊C4—441no—
1389C22⋊C4C2×C4×D1114yes—
1390C22⋊C4C2×C4×D1114yes—
1391C22⋊C4C2×C4×D1114yes—
1392C42—22no—
1393C42—22no—
1394C42—22no—
1395C42—22no—
1396C42—22no—
1397C42—22no—
1398C42—22no—
1399C42—114no—
1400C42—114no—
1401C42—114no—
1402C42—222no—
1403C42—222no—
1404C42—222no—
1405C42—222no—
1406C42—222no—
1407C42—222no—
1408C42—222no—
1409C42—222no—
1410C42—222no—
1411C42—222no—
1412C42—222no—
1413C42—222no—
1414C42—222no—
1415C42—222no—
1416C42—222no—
1417C42—222no—
1418C42—222no—
1419C42—222no—
1420C42—222no—
1421C42—222no—
1422C42—441no—
1423C11C4×#54711yescharacteristic, complemented, Sylow
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—112no—
1435C23—112no—
1436C23—112no—
1437C23—112no—
1438C23—221no—
1439C23—221no—
1440C23—221no—
1441C23—221no—
1442C23—221no—
1443C23—221no—
1444C23—221no—
1445C23—221no—
1446C23—221no—
1447C23—221no—
1448C23C22×C4×D1112yes—
1449C23C22×C4×D1112yes—
1450C23C2×D4×D1112yes—
1451C23#41×D1112yes—
1452C23C24×D1111yescharacteristic
1453Q8—228no—
1454Q8—228no—
1455D4—28no—
1456D4—1116no—
1457D4—228no—
1458D4—228no—
1459D4—228no—
1460D4—228no—
1461C2×C4—28no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—28no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—112no—
1495C2×C4—112no—
1496C2×C4—112no—
1497C2×C4—112no—
1498C2×C4—112no—
1499C2×C4—112no—
1500C2×C4—112no—
1501C2×C4—112no—
1502C2×C4—112no—
1503C2×C4—112no—
1504C2×C4—112no—
1505C2×C4—112no—
1506C2×C4—112no—
1507C2×C4—112no—
1508C2×C4—228no—
1509C2×C4—228no—
1510C2×C4—228no—
1511C2×C4—228no—
1512C2×C4—228no—
1513C2×C4—228no—
1514C2×C4—228no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—221no—
1526C2×C4—221no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—221no—
1530C2×C4—221no—
1531C2×C4—228no—
1532C2×C4—221no—
1533C2×C4—221no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—221no—
1539C2×C4—221no—
1540C2×C4—221no—
1541C2×C4—221no—
1542C2×C4—221no—
1543C2×C4—221no—
1544C2×C4—444no—
1545C2×C4—444no—
1546C2×C4—444no—
1547C2×C4—444no—
1548C2×C4—444no—
1549C2×C4—444no—
1550C2×C4—444no—
1551C2×C4—444no—
1552C2×C4C22×C4×D1112yes—
1553C2×C4C22×C4×D1112yes—
1554C2×C4C22×C4×D1112yes—
1555C2×C4C22×C4×D1112yes—
1556C2×C4C22×C4×D1112yes—
1557C2×C4C2×D4×D1112yes—
1558C2×C4C2×D4×D1112yes—
1559C2×C4#41×D1112yes—
1560C2×C4#41×D1112yes—
1561C2×C4#6704312yes—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—22no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—114no—
1576C22—222no—
1577C22—222no—
1578C22—222no—
1579C22—222no—
1580C22—222no—
1581C22—222no—
1582C22—222no—
1583C22—222no—
1584C22—222no—
1585C22—441no—
1586C22—441no—
1587C22—441no—
1588C22—441no—
1589C22C4×D4×D1114yes—
1590C22C23×C4×D1111yescharacteristic
1591C22C22×D4×D1111yescharacteristic
1592C22C2×#41×D1111yescharacteristic
1593C22C2×#41×D1111yescharacteristic
1594C22C2×#41×D1111yescharacteristic
1595C22C2×#6704311yescharacteristic
1596C22#1062345311yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—22no—
1603C4—22no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—114no—
1610C4—114no—
1611C4—222no—
1612C4—222no—
1613C4—222no—
1614C4—222no—
1615C4—222no—
1616C4—222no—
1617C4—222no—
1618C4—222no—
1619C4—441no—
1620C4—441no—
1621C4—441no—
1622C4—441no—
1623C4#1062318614yesdirect product factor
1624C2—24no—
1625C2—42no—
1626C2—224no—
1627C2—442no—
1628C2C2×C4×D4×D1111yescharacteristic
1629C2C4×#41×D1111yescharacteristic
1630C2C4×#6704311yescharacteristic
1631C2C2×#1062318611yescharacteristic
1632C2#1308209911yescharacteristic
1633C2#1308216811yescharacteristic
1634C2#1308222911yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC4×C11×#123C2
socle, cosocleC23×C11C25
prime radicalC2×#10623186C2
hypercenterC4×#123D11
hypocenterC11C4×#547
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C4×#123

Complements

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

NH ≅ G/Ntype
2. C2×C4×#4339C2semidirect
3. C2×C4×#4341C2semidirect
4. #13071671C2semidirect
5. #13071646C2semidirect
6. #13071638C2semidirect
7. #13071629C2semidirect
8. #13071627C2semidirect
9. #13071615C2semidirect
10. #13071612C2semidirect
11. #13071606C2semidirect
12. #13071605C2semidirect
13. #13071562C2semidirect
14. #13071514C2semidirect
15. #13071482C2semidirect
16. #13071480C2semidirect
17. #13071442C2semidirect
18. #13071440C2semidirect
19. C4×#66941C2semidirect
20. C4×#66949C2semidirect
21. C4×#66931C2semidirect
22. C4×#66947C2semidirect
23. C4×#66939C2semidirect
24. C4×#66936C2semidirect
25. C4×#66937C2semidirect
26. C4×#66992C2semidirect
27. C4×(C22⋊D11)⋊C4C2semidirect
28. C4×(C22⋊D11)⋊C4C2semidirect
29. C2×C4×Dic11⋊C4C2semidirect
30. C4×C4⋊C4×D11C2semidirect
31. C4×C11×#123C2semidirect
51. #10623186C4direct (N × H)
207. C2×#4341C2×C4semidirect
210. C2×#4339C2×C4semidirect
224. C11×#123C2×C4semidirect
253. #66992C2×C4semidirect
260. C4×C22⋊D11D4semidirect
284. C2×Dic11⋊C4C2×C4semidirect
332. #66949C2×C4semidirect
333. #66947C2×C4semidirect
336. C4⋊C4×D11C2×C4semidirect
337. #66941C2×C4semidirect
339. #66939C2×C4semidirect
340. #66937C2×C4semidirect
341. #66936C2×C4semidirect
346. (C22⋊D11)⋊C4C2×C4semidirect
347. (C22⋊D11)⋊C4C2×C4semidirect
348. #66931C2×C4semidirect
582. Dic11⋊C4#41semidirect
606. C4×Dic11#41semidirect
631. C4×#123D11semidirect
714. C22⋊D11C4×D4semidirect
981. C4×C11#547semidirect
995. Dic11C4×#41semidirect
1034. #123C4×D11semidirect
1423. C11C4×#547semidirect
1623. C4#10623186direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106231862
C2×C4×#43392
C2×C4×#43412
#130716712
#130716462
#130716382
#130716292
#130716272
#130716152
#130716122
#130716062
#130716052
#130715622
#130715142
#130714822
#130714802
#130714422
#130714402
C4×#669412
C4×#669492
C4×#669312
C4×#669472
C4×#669392
C4×#669362
C4×#669372
C4×#669922
C4×(C22⋊D11)⋊C42
C2×C4×Dic11⋊C42
C4×C4⋊C4×D112
C4×C11×#1232
C4×#54711