Finite Group Databasebeta

← #14922615

Subgroups — #14922615

Order 2816.

2592 conjugacy classes of subgroups.

The subgroup lattice has 1612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623059C211yesmaximal, characteristic, complemented
2C2×#10623053C211yesmaximal, characteristic, complemented
3#13072695C211yesmaximal, characteristic, complemented
4#13072680C211yesmaximal, characteristic, complemented
5#13072665C211yesmaximal, characteristic, complemented
6#13072650C211yesmaximal, characteristic, complemented
7#13072635C211yesmaximal, characteristic, complemented
8#13072620C211yesmaximal, characteristic, complemented
9#13072611C211yesmaximal, characteristic, complemented
10#13072596C211yesmaximal, characteristic, complemented
11#13072581C211yesmaximal, characteristic, complemented
12#13072566C211yesmaximal, characteristic, complemented
13#13072551C211yesmaximal, characteristic, complemented
14#13072536C211yesmaximal, characteristic, complemented
15#13072521C211yesmaximal, characteristic, complemented
16#13072506C211yesmaximal, characteristic, complemented
17#13072505C211yesmaximal, characteristic, complemented
18#13072496C211yesmaximal, characteristic, complemented
19#13071888C211yesmaximal, characteristic, complemented
20#13071856C211yesmaximal, characteristic, complemented
21#13071832C211yesmaximal, characteristic, complemented
22#13071832C211yesmaximal, characteristic, complemented
23C4×#66950C211yesmaximal, characteristic, complemented
24C4×#66939C211yesmaximal, characteristic, complemented
25C4×#66939C211yesmaximal, characteristic, complemented
26C4×#66948C211yesmaximal, characteristic, complemented
27#13071080C211yesmaximal, characteristic, complemented
28#13071060C211yesmaximal, characteristic, complemented
29#13071060C211yesmaximal, characteristic, complemented
30C42×D44C211yesmaximal, characteristic, complemented
31C11×#2298C211yesmaximal, characteristic, complemented
32C22×#4339C2211yescharacteristic
33C2×C11×#117C2211yescharacteristic
34C2×C4×C22⋊D11C2211yescharacteristic
35C2×C4×C22⋊D11C2211yescharacteristic
36C22×C4×Dic11C2211yescharacteristic
37#10623059—28no—
38#10623053—28no—
39C2×#66951C2211yescharacteristic
40C2×#66950C2211yescharacteristic
41C2×#66949C2211yescharacteristic
42C2×#66948C2211yescharacteristic
43C2×#66947C2211yescharacteristic
44C2×#66946C2211yescharacteristic
45C2×#66946C2211yescharacteristic
46C2×#66942C2211yescharacteristic
47C2×#66940C2211yescharacteristic
48C2×#66940C2211yescharacteristic
49C2×#66939C2211yescharacteristic
50C2×#66939C2211yescharacteristic
51C2×#66938C2211yescharacteristic
52C2×#66937C2211yescharacteristic
53C2×#66936C2211yescharacteristic
54C2×(C22⋊D11)⋊C4C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic
57C2×(C22⋊D11)⋊C4C2211yescharacteristic
58C2×#66932C2211yescharacteristic
59C2×C4×D44C2211yescharacteristic
60C2×C4×D44C2211yescharacteristic
61C2×C4×D44C2211yescharacteristic
62C2×C4×D44C2211yescharacteristic
63C2×C4×D44C2211yescharacteristic
64C2×C4×D44C2211yescharacteristic
65C2×C4×D44C2211yescharacteristic
66C2×#66925C2211yescharacteristic
67C2×#66925C2211yescharacteristic
68C2×#66925C2211yescharacteristic
69C2×C42×D11C2211yescharacteristic
70C2×C42×D11C2211yescharacteristic
71C2×C42×D11C2211yescharacteristic
72C2×C4×Dic22C2211yescharacteristic
73C11×#388C2211yescharacteristic
74C11×#388C2211yescharacteristic
75C11×#388C2211yescharacteristic
76C11×#388C2211yescharacteristic
77C11×#387C2211yescharacteristic
78C11×#387C2211yescharacteristic
79C11×#387C2211yescharacteristic
80C11×#387C2211yescharacteristic
81C4×C11×C4⋊C4C2211yescharacteristic
82C4×C11×C4⋊C4C2211yescharacteristic
83C4×C11×C22⋊C4C2211yescharacteristic
84C4×C11×C22⋊C4C2211yescharacteristic
85C11×#376C2211yescharacteristic
86C43×C11C2211yescharacteristic
87#10622607C2211yescharacteristic
88#10622607C2211yescharacteristic
89#10622607C2211yescharacteristic
90#10622607C2211yescharacteristic
91#10622604C2211yescharacteristic
92#10622604C2211yescharacteristic
93#10622601C2211yescharacteristic
94#10622600C2211yescharacteristic
95#10622600C2211yescharacteristic
96#10622598C2211yescharacteristic
97#10622598C2211yescharacteristic
98#10622596C2211yescharacteristic
99#10622596C2211yescharacteristic
100#10622587C2211yescharacteristic
101#10622574C2211yescharacteristic
102#10622574C2211yescharacteristic
103#10622574C2211yescharacteristic
104#10622574C2211yescharacteristic
105#10622573C2211yescharacteristic
106#10622573C2211yescharacteristic
107#10622573C2211yescharacteristic
108#10622573C2211yescharacteristic
109#10622571C2211yescharacteristic
110#10622571C2211yescharacteristic
111#10622563C2211yescharacteristic
112#10622563C2211yescharacteristic
113#10622556C2211yescharacteristic
114#10622556C2211yescharacteristic
115#10622553C2211yescharacteristic
116#10622553C2211yescharacteristic
117#10622553C2211yescharacteristic
118#10622553C2211yescharacteristic
119#10622552C2211yescharacteristic
120#10622552C2211yescharacteristic
121C4×(C2×D11)⋊C4C2211yescharacteristic
122C4×(C2×D11)⋊C4C2211yescharacteristic
123C4×(C2×D11)⋊C4C2211yescharacteristic
124C4×(C2×D11)⋊C4C2211yescharacteristic
125C4×(C2×D11)⋊C4C2211yescharacteristic
126C4×(C2×D11)⋊C4C2211yescharacteristic
127C4×(C2×D11)⋊C4C2211yescharacteristic
128C4×(C2×D11)⋊C4C2211yescharacteristic
129C4×(C2×D11)⋊C4C2211yescharacteristic
130C4×(C2×D11)⋊C4C2211yescharacteristic
131C4×(C2×D11)⋊C4C2211yescharacteristic
132C4×(C2×D11)⋊C4C2211yescharacteristic
133C4×C4⋊Dic11C2211yescharacteristic
134C4×C4⋊Dic11C2211yescharacteristic
135C4×C4⋊Dic11C2211yescharacteristic
136C4×C4⋊Dic11C2211yescharacteristic
137C4×C4⋊Dic11C2211yescharacteristic
138C4×C4⋊Dic11C2211yescharacteristic
139#10622541C2211yescharacteristic
140#10622541C2211yescharacteristic
141#10622290C2211yescharacteristic
142#10622287C2211yescharacteristic
143#10622286C2211yescharacteristic
144#10622286C2211yescharacteristic
145#10622286C2211yescharacteristic
146#10622285C2211yescharacteristic
147#10622285C2211yescharacteristic
148#10622285C2211yescharacteristic
149#10622284C2211yescharacteristic
150#10622284C2211yescharacteristic
151#10622284C2211yescharacteristic
152#10622283C2211yescharacteristic
153#10622283C2211yescharacteristic
154#10622283C2211yescharacteristic
155#10622283C2211yescharacteristic
156#10622283C2211yescharacteristic
157#10622283C2211yescharacteristic
158#10622283C2211yescharacteristic
159#10622283C2211yescharacteristic
160#10622283C2211yescharacteristic
161#10622283C2211yescharacteristic
162#10622281C2211yescharacteristic
163#10622281C2211yescharacteristic
164#10622281C2211yescharacteristic
165#10622281C2211yescharacteristic
166#10622281C2211yescharacteristic
167#10622281C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622274C2211yescharacteristic
175#10622272C2211yescharacteristic
176#10622269C2211yescharacteristic
177#10622269C2211yescharacteristic
178#10622269C2211yescharacteristic
179#10622266C2211yescharacteristic
180#10622266C2211yescharacteristic
181#10622266C2211yescharacteristic
182#10622266C2211yescharacteristic
183#10622266C2211yescharacteristic
184#10622266C2211yescharacteristic
185#10622266C2211yescharacteristic
186#10622266C2211yescharacteristic
187#10622266C2211yescharacteristic
188#10622266C2211yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C2×#4339—24no—
197C2×#4339—24no—
198C2×#4339—24no—
199C22×D44C2311yescharacteristic
200C22×D44C2311yescharacteristic
201C22×D44C2311yescharacteristic
202C22×D44C2311yescharacteristic
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×Dic22C2311yescharacteristic
216C22×Dic22C2311yescharacteristic
217C11×#117D418yescomplemented
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C42×C11C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C42×C11C2311yescharacteristic
239C2×C42×C11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C4×C22⋊D11—24no—
243C4×C22⋊D11—24no—
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
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
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
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×C4×Dic11—24no—
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315#66951—24no—
316#66950—24no—
317#66949—24no—
318#66948—24no—
319#66947—24no—
320#66946—24no—
321#66946—24no—
322#66942—24no—
323#66940—24no—
324#66940—24no—
325#66939—24no—
326#66939—24no—
327#66938—24no—
328#66937—24no—
329#66936—24no—
330(C22⋊D11)⋊C4—24no—
331(C22⋊D11)⋊C4—24no—
332(C22⋊D11)⋊C4—24no—
333(C22⋊D11)⋊C4—24no—
334#66932—24no—
335C4×D44—24no—
336C4×D44—24no—
337C4×D44—24no—
338C4×D44—24no—
339C4×D44—24no—
340C4×D44—24no—
341C4×D44—24no—
342#66925—24no—
343#66925—24no—
344#66925—24no—
345C42×D11—24no—
346C42×D11—24no—
347C42×D11—24no—
348C4×Dic22—24no—
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
351C11×#95C2311yescharacteristic
352C11×#95C2311yescharacteristic
353C11×#95C2311yescharacteristic
354C11×#95C2311yescharacteristic
355C11×#95C2311yescharacteristic
356C11×#95C2311yescharacteristic
357C11×#95C2311yescharacteristic
358C11×#95C2311yescharacteristic
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385#34741—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C23×D11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C23×D11C2411yescharacteristic
390C23×D11C2411yescharacteristic
391C22×C4×C11—22no—
392C22×C4×C11—22no—
393C22×C4×C11C2×D414yes—
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C2×C22⋊D11—22no—
409C2×C22⋊D11—22no—
410C2×C22⋊D11—22no—
411C2×C22⋊D11—22no—
412C2×C22⋊D11—22no—
413C2×C22⋊D11—22no—
414C2×C22⋊D11—22no—
415C2×C22⋊D11—22no—
416C2×C22⋊D11—22no—
417C2×C22⋊D11—22no—
418C2×C22⋊D11—41no—
419C2×C22⋊D11—41no—
420C22×Dic11—22no—
421C22×Dic11—22no—
422C22×Dic11—22no—
423C22×Dic11—22no—
424C22×Dic11—41no—
425C22×Dic11—41no—
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438#4339—232no—
439C2×D44—22no—
440C2×D44—22no—
441C2×D44—22no—
442C2×D44—22no—
443C2×D44—22no—
444C2×D44—22no—
445C2×D44—22no—
446C2×D44—22no—
447C2×D44—22no—
448C2×D44—22no—
449C2×D44—22no—
450C2×D44—22no—
451C2×D44—22no—
452C2×D44—41no—
453C2×D44—41no—
454C2×D44—41no—
455C2×D44—41no—
456C2×D44—41no—
457C2×C4×D11—22no—
458C2×C4×D11—22no—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—22no—
463C2×C4×D11—22no—
464C2×C4×D11—22no—
465C2×C4×D11—22no—
466C2×C4×D11—22no—
467C2×C4×D11—22no—
468C2×C4×D11—22no—
469C2×C4×D11—22no—
470C2×C4×D11—22no—
471C2×C4×D11—22no—
472C2×C4×D11—22no—
473C2×C4×D11—22no—
474C2×C4×D11—22no—
475C2×C4×D11—22no—
476C2×C4×D11—22no—
477C2×C4×D11—22no—
478C2×C4×D11—22no—
479C2×C4×D11—41no—
480C2×C4×D11—41no—
481C2×C4×D11—41no—
482C2×C4×D11—41no—
483C2×C4×D11—41no—
484C2×C4×D11—41no—
485C2×C4×D11#4114yes—
486C2×C4×D11#4114yes—
487C2×Dic22—22no—
488C2×Dic22—22no—
489C2×Dic22—22no—
490C2×Dic22—22no—
491C2×Dic22—22no—
492C2×Dic22—41no—
493C11×C4⋊C4—22no—
494C11×C4⋊C4—22no—
495C11×C4⋊C4—41no—
496C11×C4⋊C4—41no—
497C11×C4⋊C4C2×D414yes—
498C11×C4⋊C4C2×D414yes—
499C11×C22⋊C4—22no—
500C11×C22⋊C4—22no—
501C11×C22⋊C4—41no—
502C11×C22⋊C4—41no—
503C11×C22⋊C4C2×D414yes—
504C11×C22⋊C4C2×D414yes—
505C42×C11—22no—
506C42×C11—22no—
507C42×C11—22no—
508C42×C11—22no—
509C42×C11—22no—
510C42×C11—22no—
511C42×C11—41no—
512C42×C11—41no—
513C42×C11C2×D414yes—
514C42×C11C2×D414yes—
515C22⋊Dic11—22no—
516C22⋊Dic11—22no—
517(C2×D11)⋊C4—22no—
518(C2×D11)⋊C4—22no—
519(C2×D11)⋊C4—22no—
520(C2×D11)⋊C4—22no—
521(C2×D11)⋊C4—22no—
522(C2×D11)⋊C4—22no—
523(C2×D11)⋊C4—22no—
524(C2×D11)⋊C4—22no—
525(C2×D11)⋊C4—22no—
526(C2×D11)⋊C4—22no—
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—22no—
532(C2×D11)⋊C4—22no—
533(C2×D11)⋊C4—22no—
534(C2×D11)⋊C4—22no—
535(C2×D11)⋊C4—22no—
536(C2×D11)⋊C4—22no—
537(C2×D11)⋊C4—22no—
538(C2×D11)⋊C4—22no—
539(C2×D11)⋊C4—22no—
540(C2×D11)⋊C4—22no—
541(C2×D11)⋊C4—22no—
542(C2×D11)⋊C4—22no—
543(C2×D11)⋊C4—22no—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4—41no—
546(C2×D11)⋊C4—41no—
547(C2×D11)⋊C4—41no—
548(C2×D11)⋊C4—41no—
549(C2×D11)⋊C4—41no—
550(C2×D11)⋊C4#4114yescomplemented
551C4⋊Dic11—22no—
552C4⋊Dic11—22no—
553C4⋊Dic11—22no—
554C4⋊Dic11—22no—
555C4⋊Dic11—22no—
556C4⋊Dic11—22no—
557C4⋊Dic11—22no—
558C4⋊Dic11—22no—
559C4⋊Dic11—22no—
560C4⋊Dic11—22no—
561C4⋊Dic11—22no—
562C4⋊Dic11—41no—
563C4⋊Dic11—41no—
564C4⋊Dic11#4114yescomplemented
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—
575C4×Dic11—22no—
576C4×Dic11—22no—
577C4×Dic11—22no—
578C4×Dic11—22no—
579C4×Dic11—22no—
580C4×Dic11—22no—
581C4×Dic11—22no—
582C4×Dic11—22no—
583C4×Dic11—22no—
584C4×Dic11—22no—
585C4×Dic11—22no—
586C4×Dic11—22no—
587C2×#529—111no—
588C2×C4×#41—111no—
589#2469—111no—
590#2468—111no—
591#2467—111no—
592#2466—111no—
593#2465—111no—
594#2464—111no—
595#2463—111no—
596#2462—111no—
597#2461—111no—
598#2460—111no—
599#2459—111no—
600#2458—111no—
601#2457—111no—
602#2456—111no—
603#2456—111no—
604#2455—111no—
605#2396—111no—
606#2392—111no—
607#2388—111no—
608#2388—111no—
609C4×C22⋊Q8—111no—
610C4×#123—111no—
611C4×#123—111no—
612C4×#121—111no—
613#2298D1111yescharacteristic, complemented
614#2293—111no—
615#2290—111no—
616#2290—111no—
617C42×D4—111no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11C22×D412yes—
625C23×C11C2511yescharacteristic
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11C2×#4112yes—
652C22×D11C2×#4112yes—
653C22×D11C2×#4112yes—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
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—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11C22×D412yes—
688C2×C4×C11C22×D412yes—
689C2×C4×C11C22×D412yes—
690C2×C4×C11C22×D412yes—
691C2×C4×C11C22×D412yes—
692C2×C4×C11C22×D412yes—
693C2×C4×C11C2×#4112yes—
694C2×C4×C11C2×#4112yes—
695C2×C4×C11C2×#4112yes—
696C2×C4×C11C2×#4112yes—
697C22⋊D11—28no—
698C22⋊D11—28no—
699C22⋊D11—44no—
700C22⋊D11—44no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
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—44no—
733C2×Dic11—44no—
734C2×Dic11C2×#4112yes—
735C2×Dic11C2×#4112yes—
736C2×Dic11C2×#4112yes—
737C2×Dic11C2×#4112yes—
738C2×Dic11C2×#4112yes—
739D44—28no—
740D44—28no—
741D44—44no—
742D44—44no—
743D44—44no—
744D44—44no—
745C4×D11—28no—
746C4×D11—28no—
747C4×D11—44no—
748C4×D11—44no—
749C4×D11—44no—
750C4×D11—44no—
751C4×D11—44no—
752C4×D11—44no—
753C4×D11—44no—
754C4×D11—44no—
755Dic22—28no—
756Dic22—44no—
757C22×#41—111no—
758#529—228no—
759C2×#126—111no—
760C2×#126—111no—
761C2×#125—111no—
762C2×#124—111no—
763C2×#123—111no—
764C2×#123—111no—
765C2×#123—111no—
766C2×#123—111no—
767C2×C22⋊Q8—111no—
768C2×C22⋊Q8—111no—
769C2×#121—111no—
770C2×#121—111no—
771C4×#41—228no—
772C2×C4×Q8—111no—
773C2×C4×Q8—111no—
774C2×C4×Q8—111no—
775C2×C4×D4—111no—
776C2×C4×D4—111no—
777C2×C4×D4—111no—
778C2×C4×D4—111no—
779C2×C4×D4—111no—
780C2×C4×D4—111no—
781C2×C4×D4—111no—
782C2×C4×D4—111no—
783C2×C4×D4—111no—
784C2×C4×D4—111no—
785C2×C4×D4—111no—
786C2×C4×D4—111no—
787C2×C4×D4—111no—
788C2×C4×D4—111no—
789C2×C4×D4—111no—
790C2×#117—111no—
791C2×#117—111no—
792C2×#117—111no—
793C2×#117C2×D1111yescharacteristic
794C22×C42—111no—
795C22×C42—111no—
796C22×C42—111no—
797C22×C42—111no—
798#400—111no—
799#399—111no—
800#398—111no—
801#398—111no—
802#398—111no—
803#397—111no—
804#396—111no—
805#396—111no—
806#396—111no—
807#396—111no—
808#395—111no—
809#395—111no—
810#395—111no—
811#394—111no—
812#394—111no—
813#394—111no—
814#394—111no—
815#394—111no—
816#394—111no—
817#394—111no—
818#394—111no—
819#394—111no—
820#393—111no—
821#393—111no—
822#393—111no—
823#392—111no—
824#392—111no—
825#392—111no—
826#392—111no—
827#392—111no—
828#392—111no—
829#392—111no—
830#391—111no—
831#390—111no—
832#390—111no—
833#390—111no—
834#389—111no—
835#389—111no—
836#389—111no—
837#389—111no—
838#388—111no—
839#388—111no—
840#388—111no—
841#388—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#388C2×D1111yescharacteristic
855#388C2×D1111yescharacteristic
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#387—111no—
865#387—111no—
866#387C2×D1111yescharacteristic
867#387C2×D1111yescharacteristic
868#387C2×D1111yescharacteristic
869#387C2×D1111yescharacteristic
870#386—111no—
871#386—111no—
872#386—111no—
873#386—111no—
874#386—111no—
875#386—111no—
876#386—111no—
877#386—111no—
878#385—111no—
879#385—111no—
880#385—111no—
881#385—111no—
882#385—111no—
883#385—111no—
884#385—111no—
885#385—111no—
886#381—111no—
887#381—111no—
888#380—111no—
889#380—111no—
890C4×C4⋊C4—111no—
891C4×C4⋊C4—111no—
892C4×C4⋊C4—111no—
893C4×C4⋊C4—111no—
894C4×C4⋊C4—111no—
895C4×C4⋊C4—111no—
896C4×C4⋊C4C2×D1111yescharacteristic
897C4×C4⋊C4C2×D1111yescharacteristic
898C4×C22⋊C4—111no—
899C4×C22⋊C4—111no—
900C4×C22⋊C4—111no—
901C4×C22⋊C4—111no—
902C4×C22⋊C4—111no—
903C4×C22⋊C4—111no—
904C4×C22⋊C4—111no—
905C4×C22⋊C4—111no—
906C4×C22⋊C4—111no—
907C4×C22⋊C4—111no—
908C4×C22⋊C4—111no—
909C4×C22⋊C4—111no—
910C4×C22⋊C4C2×D1111yescharacteristic
911C4×C22⋊C4C2×D1111yescharacteristic
912#376C2×D1111yescharacteristic
913C43C2×D1111yescharacteristic
914C22×C11—22no—
915C22×C11—22no—
916C22×C11—22no—
917C22×C11—41no—
918C22×C11—41no—
919C22×C11—41no—
920C22×C11—41no—
921C22×C11C23×D411yescharacteristic
922C22×C11C22×#4111yescharacteristic
923C22×C11C22×#4111yescharacteristic
924C22×C11C22×#4111yescharacteristic
925C22×C11C22×#4111yescharacteristic
926C22×C11#58511yescharacteristic
927C22×C11#58511yescharacteristic
928C2×D11—22no—
929C2×D11—22no—
930C2×D11—22no—
931C2×D11—22no—
932C2×D11—22no—
933C2×D11—22no—
934C2×D11—22no—
935C2×D11—22no—
936C2×D11—22no—
937C2×D11—41no—
938C2×D11—41no—
939C2×D11—41no—
940C2×D11—41no—
941C2×D11—41no—
942C2×D11—41no—
943C2×D11—41no—
944C2×D11—41no—
945C2×D11—41no—
946C2×D11—41no—
947C2×D11—41no—
948C2×D11—41no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C2×D11—41no—
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—41no—
956C4×C11—22no—
957C4×C11—22no—
958C4×C11—22no—
959C4×C11—22no—
960C4×C11—22no—
961C4×C11—22no—
962C4×C11—22no—
963C4×C11—41no—
964C4×C11—41no—
965C4×C11—41no—
966C4×C11—41no—
967C4×C11—41no—
968C4×C11—41no—
969C4×C11#52514yes—
970Dic11—22no—
971Dic11—22no—
972Dic11—22no—
973Dic11—22no—
974Dic11—22no—
975Dic11—41no—
976Dic11—41no—
977Dic11—41no—
978Dic11—41no—
979Dic11—41no—
980Dic11—41no—
981Dic11—41no—
982C2×#41—224no—
983C2×#41—224no—
984C2×#41—224no—
985C22×Q8—111no—
986C22×Q8—111no—
987C22×D4—111no—
988C22×D4—111no—
989C22×D4—111no—
990C22×D4—111no—
991C22×D4—111no—
992C22×D4—111no—
993C22×D4—111no—
994C22×D4—111no—
995C22×D4—111no—
996C22×D4—111no—
997C23×C4—111no—
998C23×C4—111no—
999C23×C4—111no—
1000C23×C4—111no—
1001C23×C4—111no—
1002C23×C4—111no—
1003C23×C4—111no—
1004C23×C4—111no—
1005C23×C4—111no—
1006C23×C4—111no—
1007C23×C4—111no—
1008C23×C4—111no—
1009C23×C4C22×D1111yescharacteristic
1010#126—224no—
1011#126—224no—
1012#125—224no—
1013#124—224no—
1014#123—224no—
1015#123—224no—
1016#123—224no—
1017#123—224no—
1018C22⋊Q8—224no—
1019C22⋊Q8—224no—
1020#121—224no—
1021#121—224no—
1022C4×Q8—224no—
1023C4×Q8—224no—
1024C4×Q8—224no—
1025C4×D4—224no—
1026C4×D4—224no—
1027C4×D4—224no—
1028C4×D4—224no—
1029C4×D4—224no—
1030C4×D4—224no—
1031C4×D4—224no—
1032C4×D4—224no—
1033C4×D4—224no—
1034C4×D4—224no—
1035C4×D4—224no—
1036C4×D4—224no—
1037C4×D4—224no—
1038C4×D4—224no—
1039C4×D4—224no—
1040#117—224no—
1041#117—224no—
1042#117—224no—
1043#117D4418yescomplemented
1044C2×C4⋊C4—111no—
1045C2×C4⋊C4—111no—
1046C2×C4⋊C4—111no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—111no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4—111no—
1054C2×C4⋊C4—111no—
1055C2×C4⋊C4—111no—
1056C2×C4⋊C4—111no—
1057C2×C4⋊C4—111no—
1058C2×C4⋊C4—111no—
1059C2×C4⋊C4—111no—
1060C2×C4⋊C4—111no—
1061C2×C4⋊C4—111no—
1062C2×C4⋊C4—111no—
1063C2×C4⋊C4—111no—
1064C2×C4⋊C4—111no—
1065C2×C4⋊C4—111no—
1066C2×C4⋊C4—111no—
1067C2×C4⋊C4—111no—
1068C2×C4⋊C4C22×D1111yescharacteristic
1069C2×C4⋊C4C22×D1111yescharacteristic
1070C2×C4⋊C4C22×D1111yescharacteristic
1071C2×C4⋊C4C22×D1111yescharacteristic
1072C2×C4⋊C4C22×D1111yescharacteristic
1073C2×C4⋊C4C22×D1111yescharacteristic
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
1111C2×C22⋊C4C22×D1111yescharacteristic
1112C2×C22⋊C4C22×D1111yescharacteristic
1113C2×C22⋊C4C22×D1111yescharacteristic
1114C2×C22⋊C4C22×D1111yescharacteristic
1115C2×C22⋊C4C22×D1111yescharacteristic
1116C2×C42—111no—
1117C2×C42—111no—
1118C2×C42—111no—
1119C2×C42—111no—
1120C2×C42—111no—
1121C2×C42—111no—
1122C2×C42—111no—
1123C2×C42—111no—
1124C2×C42—111no—
1125C2×C42—111no—
1126C2×C42—111no—
1127C2×C42—111no—
1128C2×C42—224no—
1129C2×C42—224no—
1130C2×C42—224no—
1131C2×C42—224no—
1132C2×C42C22×D1111yescharacteristic
1133C2×C42C22×D1111yescharacteristic
1134C2×C42C22×D1111yescharacteristic
1135C2×C42C22×D1111yescharacteristic
1136C2×C42C22×D1111yescharacteristic
1137C2×C42C22×D1111yescharacteristic
1138C2×C42C22×D1111yescharacteristic
1139C2×C42C22×D1111yescharacteristic
1140C2×C42C22×D1111yescharacteristic
1141C2×C42C22×D1111yescharacteristic
1142#95—111no—
1143#95—111no—
1144#95—111no—
1145#95—111no—
1146#95—111no—
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95C22×D1111yescharacteristic
1167#95C22×D1111yescharacteristic
1168#95C22×D1111yescharacteristic
1169#95C22×D1111yescharacteristic
1170#95C22×D1111yescharacteristic
1171#95C22×D1111yescharacteristic
1172#95C22×D1111yescharacteristic
1173#95C22×D1111yescharacteristic
1174#95C22×D1111yescharacteristic
1175#95C22×D1111yescharacteristic
1176#95C22×D1111yescharacteristic
1177#95C22×D1111yescharacteristic
1178C2×C11—42no—
1179C2×C11C2×#52511yescharacteristic
1180C2×C11#344411yescharacteristic
1181C2×C11#345511yescharacteristic
1182C2×C11D4×#4111yescharacteristic
1183C2×C11D4×#4111yescharacteristic
1184C2×C11#347511yescharacteristic
1185C2×C11#348011yescharacteristic
1186D11—42no—
1187D11—42no—
1188D11—42no—
1189D11—81no—
1190C24—111no—
1191C24—111no—
1192C24—111no—
1193C24—111no—
1194C24C23×D1111yescharacteristic
1195#41—2232no—
1196C2×Q8—222no—
1197C2×Q8—222no—
1198C2×Q8—222no—
1199C2×Q8—222no—
1200C2×Q8—222no—
1201C2×Q8—441no—
1202C2×D4—222no—
1203C2×D4—222no—
1204C2×D4—222no—
1205C2×D4—222no—
1206C2×D4—222no—
1207C2×D4—222no—
1208C2×D4—222no—
1209C2×D4—222no—
1210C2×D4—222no—
1211C2×D4—222no—
1212C2×D4—222no—
1213C2×D4—222no—
1214C2×D4—222no—
1215C2×D4—222no—
1216C2×D4—222no—
1217C2×D4—222no—
1218C2×D4—222no—
1219C2×D4—222no—
1220C2×D4—222no—
1221C2×D4—222no—
1222C2×D4—222no—
1223C2×D4—222no—
1224C2×D4—222no—
1225C2×D4—441no—
1226C2×D4—441no—
1227C2×D4—441no—
1228C2×D4—441no—
1229C2×D4—441no—
1230C2×D4—441no—
1231C2×D4—441no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—111no—
1235C22×C4—111no—
1236C22×C4—111no—
1237C22×C4—111no—
1238C22×C4—111no—
1239C22×C4—114no—
1240C22×C4—114no—
1241C22×C4—111no—
1242C22×C4—111no—
1243C22×C4—111no—
1244C22×C4—111no—
1245C22×C4—111no—
1246C22×C4—111no—
1247C22×C4—111no—
1248C22×C4—222no—
1249C22×C4—222no—
1250C22×C4—222no—
1251C22×C4—222no—
1252C22×C4—222no—
1253C22×C4—222no—
1254C22×C4—222no—
1255C22×C4—222no—
1256C22×C4—222no—
1257C22×C4—222no—
1258C22×C4—222no—
1259C22×C4—222no—
1260C22×C4—222no—
1261C22×C4—222no—
1262C22×C4—222no—
1263C22×C4—222no—
1264C22×C4—222no—
1265C22×C4—222no—
1266C22×C4—222no—
1267C22×C4—222no—
1268C22×C4—222no—
1269C22×C4—222no—
1270C22×C4—222no—
1271C22×C4—222no—
1272C22×C4—222no—
1273C22×C4—222no—
1274C22×C4—441no—
1275C22×C4—441no—
1276C22×C4—441no—
1277C22×C4—441no—
1278C22×C4—441no—
1279C22×C4—441no—
1280C22×C4—441no—
1281C22×C4—441no—
1282C22×C4C2×D4414yes—
1283C22×C4C23×D1111yescharacteristic
1284C22×C4C23×D1111yescharacteristic
1285C22×C4C23×D1111yescharacteristic
1286C22×C4C23×D1111yescharacteristic
1287C22×C4C23×D1111yescharacteristic
1288C22×C4C23×D1111yescharacteristic
1289C22×C4C23×D1111yescharacteristic
1290C22×C4C23×D1111yescharacteristic
1291C22×C4C23×D1111yescharacteristic
1292C22×C4C23×D1111yescharacteristic
1293C22×C4C23×D1111yescharacteristic
1294C22×C4C23×D1111yescharacteristic
1295C22×C4C23×D1111yescharacteristic
1296C22×C4C23×D1111yescharacteristic
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—114no—
1302C4⋊C4—222no—
1303C4⋊C4—222no—
1304C4⋊C4—222no—
1305C4⋊C4—222no—
1306C4⋊C4—222no—
1307C4⋊C4—222no—
1308C4⋊C4—222no—
1309C4⋊C4—222no—
1310C4⋊C4—222no—
1311C4⋊C4—222no—
1312C4⋊C4—222no—
1313C4⋊C4—222no—
1314C4⋊C4—222no—
1315C4⋊C4—222no—
1316C4⋊C4—222no—
1317C4⋊C4—222no—
1318C4⋊C4—222no—
1319C4⋊C4—222no—
1320C4⋊C4—222no—
1321C4⋊C4—222no—
1322C4⋊C4—222no—
1323C4⋊C4—441no—
1324C4⋊C4—441no—
1325C4⋊C4C2×D4414yes—
1326C4⋊C4C2×D4414yes—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—114no—
1332C22⋊C4—222no—
1333C22⋊C4—222no—
1334C22⋊C4—222no—
1335C22⋊C4—222no—
1336C22⋊C4—222no—
1337C22⋊C4—222no—
1338C22⋊C4—222no—
1339C22⋊C4—222no—
1340C22⋊C4—222no—
1341C22⋊C4—222no—
1342C22⋊C4—222no—
1343C22⋊C4—222no—
1344C22⋊C4—222no—
1345C22⋊C4—222no—
1346C22⋊C4—222no—
1347C22⋊C4—222no—
1348C22⋊C4—222no—
1349C22⋊C4—222no—
1350C22⋊C4—222no—
1351C22⋊C4—222no—
1352C22⋊C4—222no—
1353C22⋊C4—222no—
1354C22⋊C4—222no—
1355C22⋊C4—222no—
1356C22⋊C4—222no—
1357C22⋊C4—222no—
1358C22⋊C4—222no—
1359C22⋊C4—222no—
1360C22⋊C4—222no—
1361C22⋊C4—441no—
1362C22⋊C4—441no—
1363C22⋊C4—441no—
1364C22⋊C4—441no—
1365C22⋊C4—441no—
1366C22⋊C4—441no—
1367C22⋊C4C2×D4414yes—
1368C22⋊C4C2×D4414yes—
1369C42—22no—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—41no—
1376C42—41no—
1377C42—222no—
1378C42—222no—
1379C42—222no—
1380C42—222no—
1381C42—222no—
1382C42—222no—
1383C42—222no—
1384C42—222no—
1385C42—222no—
1386C42—222no—
1387C42—222no—
1388C42—222no—
1389C42C2×D4414yes—
1390C42C2×D4414yes—
1391C11#3474111yescharacteristic, complemented, Sylow
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—112no—
1399C23—112no—
1400C23—112no—
1401C23—221no—
1402C23—221no—
1403C23—221no—
1404C23—221no—
1405C23—221no—
1406C23—221no—
1407C23—221no—
1408C23—221no—
1409C23—221no—
1410C23—221no—
1411C23—221no—
1412C23—221no—
1413C23—221no—
1414C23—221no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—221no—
1419C23—221no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23—221no—
1426C23C22×D4412yes—
1427C23C24×D1111yescharacteristic
1428Q8—228no—
1429Q8—444no—
1430D4—228no—
1431D4—228no—
1432D4—228no—
1433D4—228no—
1434D4—444no—
1435D4—444no—
1436D4—444no—
1437D4—444no—
1438D4—444no—
1439D4—444no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—28no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
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—112no—
1474C2×C4—112no—
1475C2×C4—112no—
1476C2×C4—112no—
1477C2×C4—112no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—228no—
1489C2×C4—228no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—221no—
1511C2×C4—444no—
1512C2×C4—444no—
1513C2×C4—444no—
1514C2×C4—444no—
1515C2×C4—444no—
1516C2×C4—444no—
1517C2×C4—444no—
1518C2×C4—444no—
1519C2×C4—444no—
1520C2×C4—444no—
1521C2×C4C22×D4412yes—
1522C2×C4C22×D4412yes—
1523C2×C4C22×D4412yes—
1524C2×C4C22×D4412yes—
1525C2×C4C22×D4412yes—
1526C2×C4C22×D4412yes—
1527C2×C4#41×D1112yes—
1528C2×C4#41×D1112yes—
1529C2×C4#41×D1112yes—
1530C2×C4#41×D1112yes—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—222no—
1539C22—222no—
1540C22—222no—
1541C22—222no—
1542C22—222no—
1543C22—222no—
1544C22—222no—
1545C22—222no—
1546C22—222no—
1547C22—441no—
1548C22—441no—
1549C22—441no—
1550C22—441no—
1551C22—441no—
1552C22—441no—
1553C22—441no—
1554C22—441no—
1555C22—441no—
1556C22—441no—
1557C22—441no—
1558C22—441no—
1559C22—441no—
1560C22—441no—
1561C22—441no—
1562C22—441no—
1563C22—441no—
1564C22—441no—
1565C22—441no—
1566C22C23×D4411yescharacteristic
1567C22C2×#41×D1111yescharacteristic
1568C22C2×#41×D1111yescharacteristic
1569C22C2×#41×D1111yescharacteristic
1570C22C2×#41×D1111yescharacteristic
1571C22#1062345311yescharacteristic
1572C22#1062345311yescharacteristic
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—22no—
1578C4—22no—
1579C4—22no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—222no—
1587C4—222no—
1588C4—222no—
1589C4—222no—
1590C4—222no—
1591C4—441no—
1592C4—441no—
1593C4—441no—
1594C4—441no—
1595C4—441no—
1596C4—441no—
1597C4—441no—
1598C4#1062305514yes—
1599C2—42no—
1600C2—442no—
1601C2—442no—
1602C2—442no—
1603C2—881no—
1604C2C2×#1062305511yescharacteristic
1605C2#1308191011yescharacteristic
1606C2#1308199911yescharacteristic
1607C2#41×D4411yescharacteristic
1608C2#41×D4411yescharacteristic
1609C2#1308216811yescharacteristic
1610C2#1308220711yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC11×#2298C2
hypercenter#2298D11
hypocenterC11#34741
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #2298

Complements

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

NH ≅ G/Ntype
1. C2×#10623059C2semidirect
2. C2×#10623053C2semidirect
3. #13072695C2semidirect
4. #13072680C2semidirect
5. #13072665C2semidirect
6. #13072650C2semidirect
7. #13072635C2semidirect
8. #13072620C2semidirect
9. #13072611C2semidirect
10. #13072596C2semidirect
11. #13072581C2semidirect
12. #13072566C2semidirect
13. #13072551C2semidirect
14. #13072536C2semidirect
15. #13072521C2semidirect
16. #13072506C2semidirect
17. #13072505C2semidirect
18. #13072496C2semidirect
19. #13071888C2semidirect
20. #13071856C2semidirect
21. #13071832C2semidirect
22. #13071832C2semidirect
23. C4×#66950C2semidirect
24. C4×#66939C2semidirect
25. C4×#66939C2semidirect
26. C4×#66948C2semidirect
27. #13071080C2semidirect
28. #13071060C2semidirect
29. #13071060C2semidirect
30. C42×D44C2semidirect
31. C11×#2298C2semidirect
217. C11×#117D4semidirect
550. (C2×D11)⋊C4#41semidirect
564. C4⋊Dic11#41semidirect
613. #2298D11semidirect
1043. #117D44semidirect
1391. C11#34741semidirect

Maximal subgroups

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

subgroupindex
C2×#106230592
C2×#106230532
#130726952
#130726802
#130726652
#130726502
#130726352
#130726202
#130726112
#130725962
#130725812
#130725662
#130725512
#130725362
#130725212
#130725062
#130725052
#130724962
#130718882
#130718562
#130718322
C4×#669502
C4×#669392
C4×#669482
#130710802
#130710602
C42×D442
C11×#22982
#3474111