Finite Group Databasebeta

← #14922649

Subgroups — #14922649

Order 2816.

3390 conjugacy classes of subgroups.

The subgroup lattice has 1846 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623079C211yesmaximal, characteristic, complemented
2C2×#10623078C211yesmaximal, characteristic, complemented
3C2×#10623078C211yesmaximal, characteristic, complemented
4C2×#10623053C211yesmaximal, characteristic, complemented
5#13072210C211yesmaximal, characteristic, complemented
6#13072208C211yesmaximal, characteristic, complemented
7#13072199C211yesmaximal, characteristic, complemented
8#13072197C211yesmaximal, characteristic, complemented
9#13072188C211yesmaximal, characteristic, complemented
10#13072186C211yesmaximal, characteristic, complemented
11#13072177C211yesmaximal, characteristic, complemented
12#13072175C211yesmaximal, characteristic, complemented
13#13072170C211yesmaximal, characteristic, complemented
14#13072168C211yesmaximal, characteristic, complemented
15#13072162C211yesmaximal, characteristic, complemented
16#13072160C211yesmaximal, characteristic, complemented
17#13072155C211yesmaximal, characteristic, complemented
18#13072153C211yesmaximal, characteristic, complemented
19#13072147C211yesmaximal, characteristic, complemented
20#13072145C211yesmaximal, characteristic, complemented
21#13071860C211yesmaximal, characteristic, complemented
22#13071860C211yesmaximal, characteristic, complemented
23#13071852C211yesmaximal, characteristic, complemented
24C4×#66948C211yesmaximal, characteristic, complemented
25C4×#66992C211yesmaximal, characteristic, complemented
26C4×#66992C211yesmaximal, characteristic, complemented
27C4×#66991C211yesmaximal, characteristic, complemented
28#13071102C211yesmaximal, characteristic, complemented
29#13071096C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2392C211yesmaximal, characteristic, complemented
32C22×#4339C2211yescharacteristic
33C22×#4339C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C2×C4×D4×C11C2211yescharacteristic
37C2×C4×D4×C11C2211yescharacteristic, complemented
38C2×C11×#117C2211yescharacteristic, complemented
39C2×#66993C2211yescharacteristic, complemented
40C2×#66992C2211yescharacteristic
41C2×#66992C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66992C2211yescharacteristic
44C2×#66991C2211yescharacteristic
45C2×#66991C2211yescharacteristic
46C2×#66990C2211yescharacteristic
47C2×#66990C2211yescharacteristic
48C2×C4×C22⋊D11C2211yescharacteristic
49C2×C4×C22⋊D11C2211yescharacteristic
50C2×C4×C22⋊D11C2211yescharacteristic
51C2×C4×C22⋊D11C2211yescharacteristic
52C2×C4×C22⋊D11C2211yescharacteristic, complemented
53C2×C4×C22⋊D11C2211yescharacteristic, complemented
54C22×C4×Dic11C2211yescharacteristic, complemented
55#10623079—28no—
56#10623078—28no—
57#10623078—28no—
58#10623053—28no—
59C2×#66949C2211yescharacteristic
60C2×#66949C2211yescharacteristic
61C2×#66948C2211yescharacteristic
62C2×#66948C2211yescharacteristic
63C2×#66947C2211yescharacteristic
64C2×#66947C2211yescharacteristic
65C2×#66946C2211yescharacteristic
66C2×#66946C2211yescharacteristic
67C2×#66941C2211yescharacteristic, complemented
68C2×#66940C2211yescharacteristic, complemented
69C2×#66940C2211yescharacteristic, complemented
70C2×#66938C2211yescharacteristic, complemented
71C2×#66938C2211yescharacteristic, complemented
72C2×#66937C2211yescharacteristic
73C2×#66937C2211yescharacteristic
74C2×#66937C2211yescharacteristic
75C2×#66937C2211yescharacteristic
76C2×#66936C2211yescharacteristic
77C2×#66936C2211yescharacteristic
78C2×#66935C2211yescharacteristic
79C2×#66935C2211yescharacteristic
80C2×(C22⋊D11)⋊C4C2211yescharacteristic
81C2×(C22⋊D11)⋊C4C2211yescharacteristic
82C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
83C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
84C2×C22⋊C4×D11C2211yescharacteristic
85C2×C22⋊C4×D11C2211yescharacteristic
86C2×#66931C2211yescharacteristic
87C2×#66931C2211yescharacteristic
88C2×C4×D44C2211yescharacteristic
89C2×C4×D44C2211yescharacteristic
90C2×C4×D44C2211yescharacteristic, complemented
91C2×#66925C2211yescharacteristic
92C2×#66925C2211yescharacteristic
93C2×#66925C2211yescharacteristic, complemented
94C2×C42×D11C2211yescharacteristic
95C2×C42×D11C2211yescharacteristic
96C2×C42×D11C2211yescharacteristic, complemented
97C11×#398C2211yescharacteristic, complemented
98C11×#397C2211yescharacteristic, complemented
99C11×#396C2211yescharacteristic
100C11×#396C2211yescharacteristic, complemented
101C11×#394C2211yescharacteristic
102C11×#394C2211yescharacteristic
103C11×#394C2211yescharacteristic, complemented
104C11×#392C2211yescharacteristic
105C4×C11×C4⋊C4C2211yescharacteristic, complemented
106C4×C11×C22⋊C4C2211yescharacteristic
107C4×C11×C22⋊C4C2211yescharacteristic, complemented
108#10622834C2211yescharacteristic
109#10622833C2211yescharacteristic
110#10622833C2211yescharacteristic, complemented
111C4×C22⋊Dic11C2211yescharacteristic
112C4×C22⋊Dic11C2211yescharacteristic, complemented
113#10622607C2211yescharacteristic
114#10622607C2211yescharacteristic, complemented
115#10622604C2211yescharacteristic
116#10622603C2211yescharacteristic
117#10622603C2211yescharacteristic, complemented
118#10622602C2211yescharacteristic
119#10622602C2211yescharacteristic
120#10622601C2211yescharacteristic
121#10622600C2211yescharacteristic, complemented
122#10622600C2211yescharacteristic, complemented
123#10622598C2211yescharacteristic, complemented
124#10622596C2211yescharacteristic, complemented
125#10622586C2211yescharacteristic, complemented
126#10622585C2211yescharacteristic, complemented
127#10622585C2211yescharacteristic, complemented
128#10622585C2211yescharacteristic, complemented
129#10622585C2211yescharacteristic, complemented
130#10622574C2211yescharacteristic
131#10622574C2211yescharacteristic, complemented
132#10622573C2211yescharacteristic
133#10622573C2211yescharacteristic
134#10622573C2211yescharacteristic
135#10622572C2211yescharacteristic
136#10622572C2211yescharacteristic
137#10622572C2211yescharacteristic
138#10622572C2211yescharacteristic, complemented
139#10622571C2211yescharacteristic
140#10622571C2211yescharacteristic, complemented
141#10622570C2211yescharacteristic
142#10622570C2211yescharacteristic
143#10622570C2211yescharacteristic, complemented
144#10622570C2211yescharacteristic, complemented
145#10622569C2211yescharacteristic
146#10622569C2211yescharacteristic
147#10622569C2211yescharacteristic
148#10622569C2211yescharacteristic, complemented
149#10622566C2211yescharacteristic, complemented
150#10622561C2211yescharacteristic
151#10622561C2211yescharacteristic, complemented
152#10622558C2211yescharacteristic
153#10622558C2211yescharacteristic, complemented
154#10622557C2211yescharacteristic
155#10622557C2211yescharacteristic, complemented
156#10622555C2211yescharacteristic, complemented
157#10622555C2211yescharacteristic, complemented
158C22⋊C4×Dic11C2211yescharacteristic
159C22⋊C4×Dic11C2211yescharacteristic
160C4×(C2×D11)⋊C4C2211yescharacteristic
161C4×(C2×D11)⋊C4C2211yescharacteristic
162C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
164C4×C4⋊Dic11C2211yescharacteristic, complemented
165C4×Dic11⋊C4C2211yescharacteristic, complemented
166C4×Dic11⋊C4C2211yescharacteristic, complemented
167#10622289C2211yescharacteristic
168#10622289C2211yescharacteristic, complemented
169#10622288C2211yescharacteristic, complemented
170#10622288C2211yescharacteristic, complemented
171#10622285C2211yescharacteristic
172#10622285C2211yescharacteristic, complemented
173#10622283C2211yescharacteristic
174#10622283C2211yescharacteristic, complemented
175#10622281C2211yescharacteristic
176#10622281C2211yescharacteristic
177#10622279C2211yescharacteristic
178#10622279C2211yescharacteristic
179#10622278C2211yescharacteristic
180#10622278C2211yescharacteristic
181#10622278C2211yescharacteristic
182#10622278C2211yescharacteristic, complemented
183D11×#95C2211yescharacteristic
184D11×#95C2211yescharacteristic
185#10622270C2211yescharacteristic, complemented
186#10622270C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622260C2211yescharacteristic, complemented
189#10622259C2211yescharacteristic, complemented
190#10622259C2211yescharacteristic, complemented
191C24×D11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C2×#4339—24no—
212C2×#4339—24no—
213C2×#4339—24no—
214C2×#4339—24no—
215C2×#4339—24no—
216C2×#4339D418yescomplemented
217C22×D44C2311yescharacteristic
218C22×D44C2311yescharacteristic
219C22×D44C2311yescharacteristic
220C22×D44C2311yescharacteristic
221C22×D44C2311yescharacteristic
222C22×C4×D11—24no—
223C22×C4×D11—24no—
224C22×C4×D11—24no—
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×C4×D11C2311yescharacteristic
234C22×C4×D11C2311yescharacteristic
235C22×C4×D11C2311yescharacteristic
236C22×C4×D11C2311yescharacteristic
237C22×Dic22C2311yescharacteristic
238C22×Dic22C2311yescharacteristic
239C4×D4×C11—24no—
240C4×D4×C11—24no—
241C4×D4×C11—24no—
242C11×#117—24no—
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊C4C2311yescharacteristic
248C2×C11×C4⋊C4C2311yescharacteristic
249C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
258C2×C11×C22⋊C4C2311yescharacteristic
259C2×C11×C22⋊C4C2311yescharacteristic
260C2×C11×C22⋊C4C2311yescharacteristic
261C2×C11×C22⋊C4C2311yescharacteristic
262C2×C42×C11C2311yescharacteristic
263C2×C42×C11C2311yescharacteristic
264C2×C42×C11C2311yescharacteristic
265C2×C42×C11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276#66993—24no—
277#66992—24no—
278#66992—24no—
279#66992—24no—
280#66992—24no—
281#66991—24no—
282#66991—24no—
283#66990—24no—
284#66990—24no—
285C4×C22⋊D11—24no—
286C4×C22⋊D11—24no—
287C4×C22⋊D11—24no—
288C4×C22⋊D11—24no—
289C4×C22⋊D11—24no—
290C4×C22⋊D11—24no—
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
313C2×(C2×D11)⋊C4C2311yescharacteristic
314C2×(C2×D11)⋊C4C2311yescharacteristic
315C2×(C2×D11)⋊C4C2311yescharacteristic
316C2×(C2×D11)⋊C4C2311yescharacteristic
317C2×C4⋊Dic11C2311yescharacteristic
318C2×C4⋊Dic11C2311yescharacteristic
319C2×C4⋊Dic11C2311yescharacteristic
320C2×C4⋊Dic11C2311yescharacteristic
321C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
334C2×Dic11⋊C4C2311yescharacteristic
335C2×Dic11⋊C4C2311yescharacteristic
336C2×Dic11⋊C4C2311yescharacteristic
337C2×Dic11⋊C4C2311yescharacteristic
338C2×C4×Dic11—24no—
339C2×C4×Dic11C2311yescharacteristic
340C2×C4×Dic11C2311yescharacteristic
341C2×C4×Dic11C2311yescharacteristic
342C2×C4×Dic11C2311yescharacteristic
343C2×C4×Dic11C2311yescharacteristic
344C2×C4×Dic11C2311yescharacteristic
345C2×C4×Dic11C2311yescharacteristic
346C2×C4×Dic11C2311yescharacteristic
347C2×C4×Dic11C2311yescharacteristic
348C2×C4×Dic11C2311yescharacteristic
349C2×C4×Dic11C2311yescharacteristic
350C2×C4×Dic11C2311yescharacteristic
351#66949—24no—
352#66949—24no—
353#66948—24no—
354#66948—24no—
355#66947—24no—
356#66947—24no—
357#66946—24no—
358#66946—24no—
359#66941—24no—
360#66940—24no—
361#66940—24no—
362#66938—24no—
363#66938—24no—
364#66937—24no—
365#66937—24no—
366#66937—24no—
367#66937—24no—
368#66936—24no—
369#66936—24no—
370#66935—24no—
371#66935—24no—
372(C22⋊D11)⋊C4—24no—
373(C22⋊D11)⋊C4—24no—
374(C22⋊D11)⋊C4—24no—
375(C22⋊D11)⋊C4—24no—
376C22⋊C4×D11—24no—
377C22⋊C4×D11—24no—
378#66931—24no—
379#66931—24no—
380C4×D44—24no—
381C4×D44—24no—
382C4×D44—24no—
383#66925—24no—
384#66925—24no—
385#66925D418yescomplemented
386C42×D11—24no—
387C42×D11—24no—
388C42×D11—24no—
389C11×#95C2311yescharacteristic
390C11×#95C2311yescharacteristic
391C11×#95C2311yescharacteristic
392C11×#95C2311yescharacteristic
393C11×#95C2311yescharacteristic
394C11×#95C2311yescharacteristic
395C11⋊#95C2311yescharacteristic
396C11⋊#95C2311yescharacteristic
397C11⋊#95C2311yescharacteristic
398C11⋊#95C2311yescharacteristic
399C11⋊#95C2311yescharacteristic
400C11⋊#95C2311yescharacteristic
401C11⋊#95C2311yescharacteristic
402C11⋊#95C2311yescharacteristic
403C11⋊#95C2311yescharacteristic
404C11⋊#95C2311yescharacteristic
405C11⋊#95C2311yescharacteristic
406C11⋊#95C2311yescharacteristic
407C11⋊#95C2311yescharacteristic
408C11⋊#95C2311yescharacteristic
409C11⋊#95C2311yescharacteristic
410C11⋊#95C2311yescharacteristic
411C11⋊#95C2311yescharacteristic
412C11⋊#95C2311yescharacteristic
413#34743—111nomaximal, Sylow
414C24×C11C2411yescharacteristic
415C24×C11C2411yescharacteristic
416C24×C11C2411yescharacteristic
417C23×D11—22no—
418C23×D11—22no—
419C23×D11—22no—
420C23×D11—22no—
421C23×D11—22no—
422C23×D11—41no—
423C23×D11—41no—
424C23×D11C2411yescharacteristic
425C23×D11C2411yescharacteristic
426C23×D11C2411yescharacteristic
427C23×D11C2411yescharacteristic
428C2×D4×C11—22no—
429C2×D4×C11—22no—
430C2×D4×C11—22no—
431C2×D4×C11—22no—
432C2×D4×C11—22no—
433C2×D4×C11—22no—
434C2×D4×C11—41no—
435C2×D4×C11—41no—
436C2×D4×C11—41no—
437C22×C4×C11—22no—
438C22×C4×C11—22no—
439C22×C4×C11—22no—
440C22×C4×C11—22no—
441C22×C4×C11—22no—
442C22×C4×C11—22no—
443C22×C4×C11—22no—
444C22×C4×C11—22no—
445C22×C4×C11C2×D414yes—
446C22×C4×C11C2411yescharacteristic
447C22×C4×C11C2411yescharacteristic
448C22×C4×C11C2411yescharacteristic
449C22×C4×C11C2411yescharacteristic
450C22×C4×C11C2411yescharacteristic
451C22×C4×C11C2411yescharacteristic
452C22×C4×C11C2411yescharacteristic
453C22×C4×C11C2411yescharacteristic
454C22×C4×C11C2411yescharacteristic
455C22×C4×C11C2411yescharacteristic
456C22×C4×C11C2411yescharacteristic
457C22×C4×C11C2411yescharacteristic
458C2×C22⋊D11—22no—
459C2×C22⋊D11—22no—
460C2×C22⋊D11—22no—
461C2×C22⋊D11—22no—
462C2×C22⋊D11—22no—
463C2×C22⋊D11—22no—
464C2×C22⋊D11—22no—
465C2×C22⋊D11—22no—
466C2×C22⋊D11—22no—
467C2×C22⋊D11—22no—
468C2×C22⋊D11—22no—
469C2×C22⋊D11—22no—
470C2×C22⋊D11—22no—
471C2×C22⋊D11—22no—
472C2×C22⋊D11—22no—
473C2×C22⋊D11—22no—
474C2×C22⋊D11—22no—
475C2×C22⋊D11—22no—
476C2×C22⋊D11—22no—
477C2×C22⋊D11—22no—
478C2×C22⋊D11—22no—
479C2×C22⋊D11—22no—
480C2×C22⋊D11—41no—
481C2×C22⋊D11—41no—
482C2×C22⋊D11—41no—
483C2×C22⋊D11—41no—
484C2×C22⋊D11—41no—
485C2×C22⋊D11—41no—
486C2×C22⋊D11C2×D414yes—
487C2×C22⋊D11C2×D414yes—
488C22×Dic11—22no—
489C22×Dic11—22no—
490C22×Dic11—22no—
491C22×Dic11—22no—
492C22×Dic11—22no—
493C22×Dic11—22no—
494C22×Dic11—22no—
495C22×Dic11—41no—
496C22×Dic11—41no—
497C22×Dic11C2411yescharacteristic
498C22×Dic11C2411yescharacteristic
499C22×Dic11C2411yescharacteristic
500C22×Dic11C2411yescharacteristic
501C22×Dic11C2411yescharacteristic
502C22×Dic11C2411yescharacteristic
503C22×Dic11C2411yescharacteristic
504C22×Dic11C2411yescharacteristic
505C22×Dic11C2411yescharacteristic
506C22×Dic11C2411yescharacteristic
507C22×Dic11C2411yescharacteristic
508C22×Dic11C2411yescharacteristic
509#4339—232no—
510#4339—416no—
511C2×D44—22no—
512C2×D44—22no—
513C2×D44—22no—
514C2×D44—22no—
515C2×D44—22no—
516C2×D44—22no—
517C2×D44—22no—
518C2×D44—22no—
519C2×D44—22no—
520C2×D44—22no—
521C2×D44—22no—
522C2×D44—41no—
523C2×D44—41no—
524C2×D44—41no—
525C2×D44C2×D414yes—
526C2×C4×D11—22no—
527C2×C4×D11—22no—
528C2×C4×D11—22no—
529C2×C4×D11—22no—
530C2×C4×D11—22no—
531C2×C4×D11—22no—
532C2×C4×D11—22no—
533C2×C4×D11—22no—
534C2×C4×D11—22no—
535C2×C4×D11—22no—
536C2×C4×D11—22no—
537C2×C4×D11—22no—
538C2×C4×D11—22no—
539C2×C4×D11—22no—
540C2×C4×D11—22no—
541C2×C4×D11—22no—
542C2×C4×D11—22no—
543C2×C4×D11—22no—
544C2×C4×D11—22no—
545C2×C4×D11—22no—
546C2×C4×D11—22no—
547C2×C4×D11—22no—
548C2×C4×D11—22no—
549C2×C4×D11—22no—
550C2×C4×D11—22no—
551C2×C4×D11—22no—
552C2×C4×D11—41no—
553C2×C4×D11—41no—
554C2×C4×D11—41no—
555C2×C4×D11—41no—
556C2×C4×D11—41no—
557C2×C4×D11—41no—
558C2×C4×D11—416no—
559C2×C4×D11C2×D414yes—
560C2×C4×D11C2×D414yes—
561C2×C4×D11C2×D414yes—
562C2×C4×D11#4114yes—
563C2×Dic22—22no—
564C2×Dic22—22no—
565C2×Dic22—22no—
566C2×Dic22—22no—
567C2×Dic22—22no—
568C2×Dic22C2×D414yes—
569C11×C4⋊C4—22no—
570C11×C4⋊C4—22no—
571C11×C4⋊C4—22no—
572C11×C4⋊C4—22no—
573C11×C4⋊C4—22no—
574C11×C4⋊C4—22no—
575C11×C4⋊C4—41no—
576C11×C22⋊C4—22no—
577C11×C22⋊C4—22no—
578C11×C22⋊C4—22no—
579C11×C22⋊C4—22no—
580C11×C22⋊C4—22no—
581C11×C22⋊C4—22no—
582C11×C22⋊C4—22no—
583C11×C22⋊C4—22no—
584C11×C22⋊C4—22no—
585C11×C22⋊C4—22no—
586C11×C22⋊C4—41no—
587C11×C22⋊C4—41no—
588C42×C11—22no—
589C42×C11—22no—
590C42×C11—22no—
591C42×C11C2×D414yes—
592C22⋊Dic11—22no—
593C22⋊Dic11—22no—
594C22⋊Dic11—22no—
595C22⋊Dic11—22no—
596C22⋊Dic11—22no—
597C22⋊Dic11—22no—
598C22⋊Dic11—22no—
599C22⋊Dic11—22no—
600C22⋊Dic11—22no—
601C22⋊Dic11#4114yescomplemented
602(C2×D11)⋊C4—22no—
603(C2×D11)⋊C4—22no—
604(C2×D11)⋊C4—22no—
605(C2×D11)⋊C4—22no—
606(C2×D11)⋊C4—22no—
607(C2×D11)⋊C4—22no—
608(C2×D11)⋊C4—22no—
609(C2×D11)⋊C4—22no—
610(C2×D11)⋊C4—22no—
611(C2×D11)⋊C4—22no—
612(C2×D11)⋊C4—22no—
613(C2×D11)⋊C4—22no—
614(C2×D11)⋊C4—22no—
615(C2×D11)⋊C4—22no—
616(C2×D11)⋊C4—22no—
617(C2×D11)⋊C4—22no—
618(C2×D11)⋊C4—22no—
619(C2×D11)⋊C4—22no—
620(C2×D11)⋊C4—22no—
621(C2×D11)⋊C4—22no—
622(C2×D11)⋊C4—22no—
623(C2×D11)⋊C4—41no—
624(C2×D11)⋊C4—41no—
625(C2×D11)⋊C4C2×D414yes—
626(C2×D11)⋊C4C2×D414yes—
627(C2×D11)⋊C4#4114yescomplemented
628C4⋊Dic11—22no—
629C4⋊Dic11—22no—
630C4⋊Dic11—22no—
631C4⋊Dic11—22no—
632C4⋊Dic11—41no—
633Dic11⋊C4—22no—
634Dic11⋊C4—22no—
635Dic11⋊C4—22no—
636Dic11⋊C4—22no—
637Dic11⋊C4—22no—
638Dic11⋊C4—22no—
639Dic11⋊C4—22no—
640Dic11⋊C4—22no—
641Dic11⋊C4—22no—
642Dic11⋊C4—22no—
643Dic11⋊C4—22no—
644Dic11⋊C4—22no—
645Dic11⋊C4—41no—
646Dic11⋊C4—41no—
647Dic11⋊C4C2×D414yes—
648Dic11⋊C4C2×D414yes—
649C4×Dic11—22no—
650C4×Dic11—22no—
651C4×Dic11—22no—
652C4×Dic11—22no—
653C4×Dic11—22no—
654C4×Dic11—22no—
655C4×Dic11—22no—
656C4×Dic11—22no—
657C4×Dic11—22no—
658C4×Dic11—22no—
659C4×Dic11—22no—
660C4×Dic11C2×D414yes—
661C2×#532—111no—
662C2×#525—111no—
663C2×#525—111no—
664C2×C4×#41—111no—
665#2429—111no—
666#2429—111no—
667#2428—111no—
668#2428—111no—
669#2427—111no—
670#2427—111no—
671#2426—111no—
672#2426—111no—
673#2425—111no—
674#2425—111no—
675#2425—111no—
676#2425—111no—
677#2424—111no—
678#2424—111no—
679#2424—111no—
680#2424—111no—
681#2392—111no—
682#2392—111no—
683#2392—111no—
684#2392D1111yescharacteristic, complemented
685C4×#121—111no—
686C4×#121—111no—
687C4×#121—111no—
688C4×#121—111no—
689#2297—111no—
690#2296—111no—
691C2×C4×C22⋊C4—111no—
692C23×C11—21no—
693C23×C11—21no—
694C23×C11—21no—
695C23×C11—21no—
696C23×C11—21no—
697C23×C11—21no—
698C23×C11—21no—
699C23×C11—21no—
700C23×C11—21no—
701C23×C11—21no—
702C23×C11—21no—
703C23×C11—21no—
704C23×C11—21no—
705C23×C11—21no—
706C23×C11—21no—
707C23×C11—21no—
708C23×C11—21no—
709C23×C11—21no—
710C23×C11—21no—
711C23×C11C22×D412yes—
712C23×C11C2×#4112yes—
713C23×C11C2511yescharacteristic
714C22×D11—21no—
715C22×D11—21no—
716C22×D11—21no—
717C22×D11—21no—
718C22×D11—28no—
719C22×D11—21no—
720C22×D11—21no—
721C22×D11—21no—
722C22×D11—21no—
723C22×D11—21no—
724C22×D11—21no—
725C22×D11—21no—
726C22×D11—21no—
727C22×D11—21no—
728C22×D11—21no—
729C22×D11—21no—
730C22×D11—21no—
731C22×D11—21no—
732C22×D11—21no—
733C22×D11—21no—
734C22×D11—21no—
735C22×D11—21no—
736C22×D11—21no—
737C22×D11—21no—
738C22×D11—44no—
739C22×D11—44no—
740C22×D11—44no—
741C22×D11—44no—
742C22×D11—44no—
743C22×D11—44no—
744C22×D11C22×D412yes—
745C22×D11C22×D412yes—
746C22×D11C22×D412yes—
747C22×D11C2×#4112yes—
748C22×D11C2×#4112yes—
749D4×C11—44no—
750D4×C11—44no—
751D4×C11—44no—
752C2×C4×C11—21no—
753C2×C4×C11—21no—
754C2×C4×C11—21no—
755C2×C4×C11—21no—
756C2×C4×C11—21no—
757C2×C4×C11—21no—
758C2×C4×C11—21no—
759C2×C4×C11—21no—
760C2×C4×C11—28no—
761C2×C4×C11—21no—
762C2×C4×C11—21no—
763C2×C4×C11—21no—
764C2×C4×C11—21no—
765C2×C4×C11—21no—
766C2×C4×C11—21no—
767C2×C4×C11—21no—
768C2×C4×C11—21no—
769C2×C4×C11—21no—
770C2×C4×C11—21no—
771C2×C4×C11—21no—
772C2×C4×C11—21no—
773C2×C4×C11—21no—
774C2×C4×C11—21no—
775C2×C4×C11—21no—
776C2×C4×C11—21no—
777C2×C4×C11—21no—
778C2×C4×C11—21no—
779C2×C4×C11—21no—
780C2×C4×C11—21no—
781C2×C4×C11—21no—
782C2×C4×C11—44no—
783C2×C4×C11—44no—
784C2×C4×C11C22×D412yes—
785C2×C4×C11C22×D412yes—
786C2×C4×C11C22×D412yes—
787C2×C4×C11C22×D412yes—
788C2×C4×C11C22×D412yes—
789C2×C4×C11C2×#4112yes—
790C2×C4×C11C2×#4112yes—
791C22⋊D11—28no—
792C22⋊D11—28no—
793C22⋊D11—44no—
794C22⋊D11—44no—
795C22⋊D11—44no—
796C22⋊D11—44no—
797C22⋊D11—44no—
798C22⋊D11—44no—
799C22⋊D11—44no—
800C22⋊D11—44no—
801C2×Dic11—21no—
802C2×Dic11—21no—
803C2×Dic11—21no—
804C2×Dic11—21no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—21no—
810C2×Dic11—21no—
811C2×Dic11—21no—
812C2×Dic11—21no—
813C2×Dic11—21no—
814C2×Dic11—21no—
815C2×Dic11—21no—
816C2×Dic11—21no—
817C2×Dic11—21no—
818C2×Dic11—21no—
819C2×Dic11—21no—
820C2×Dic11—21no—
821C2×Dic11—21no—
822C2×Dic11—21no—
823C2×Dic11—21no—
824C2×Dic11—21no—
825C2×Dic11—21no—
826C2×Dic11—21no—
827C2×Dic11—21no—
828C2×Dic11—44no—
829C2×Dic11—44no—
830C2×Dic11—44no—
831C2×Dic11C22×D412yes—
832C2×Dic11C22×D412yes—
833C2×Dic11C22×D412yes—
834C2×Dic11C22×D412yes—
835C2×Dic11C22×D412yes—
836C2×Dic11C2×#4112yes—
837C2×Dic11C2×#4112yes—
838C2×Dic11C2×#4112yes—
839C2×Dic11C2×#4112yes—
840D44—28no—
841D44—44no—
842D44—44no—
843D44—44no—
844D44—44no—
845C4×D11—28no—
846C4×D11—44no—
847C4×D11—44no—
848C4×D11—44no—
849C4×D11—44no—
850C4×D11—44no—
851C4×D11—44no—
852C4×D11—44no—
853C4×D11—44no—
854C4×D11—44no—
855C4×D11—44no—
856C4×D11#121116yescomplemented
857Dic22—28no—
858Dic22—44no—
859C22×#41—111no—
860C22×#41—111no—
861C24×C4—111no—
862#532—228no—
863C2×C4⋊Q8—111no—
864C2×#127—111no—
865C2×#124—111no—
866C2×#124—111no—
867#525—228no—
868#525—228no—
869C2×#123—111no—
870C2×#123—111no—
871C2×#123—111no—
872C2×#123—111no—
873C2×C22⋊Q8—111no—
874C2×C22⋊Q8—111no—
875C2×C22⋊Q8—111no—
876C2×C22⋊Q8—111no—
877C2×#121—111no—
878C2×#121—111no—
879C2×#121—111no—
880C2×#121—111no—
881C2×#121—111no—
882C2×#121—111no—
883C2×#121—111no—
884C2×#121—111no—
885C2×#121—111no—
886C2×#121—111no—
887C2×#121—111no—
888C2×#121—111no—
889C2×#120—111no—
890C2×#120—111no—
891C2×#120—111no—
892C2×#120—111no—
893C4×#41—228no—
894C2×C4×Q8—111no—
895C2×C4×Q8—111no—
896C2×C4×D4—111no—
897C2×C4×D4—111no—
898C2×C4×D4—111no—
899C2×C4×D4—111no—
900C2×C4×D4—111no—
901C2×C4×D4—111no—
902C2×C4×D4—111no—
903C2×C4×D4—111no—
904C2×C4×D4—111no—
905C2×C4×D4—111no—
906C2×C4×D4—111no—
907C2×C4×D4—111no—
908C2×C4×D4—111no—
909C2×C4×D4—111no—
910C2×C4×D4—111no—
911C2×C4×D4C2×D1111yescharacteristic
912C2×C4×D4C2×D1111yescharacteristic
913C2×C4×D4C2×D1111yescharacteristic, complemented
914C2×#117—111no—
915C2×#117—111no—
916C2×#117—111no—
917C2×#117C2×D1111yescharacteristic, complemented
918C22×C22⋊C4—111no—
919C22×C22⋊C4—111no—
920C22×C42—111no—
921C22×C42—111no—
922C22×C42—111no—
923C22×C42—111no—
924#398—111no—
925#398—111no—
926#398—111no—
927#398C2×D1111yescharacteristic, complemented
928#397—111no—
929#397—111no—
930#397—111no—
931#397C2×D1111yescharacteristic, complemented
932#396—111no—
933#396—111no—
934#396—111no—
935#396—111no—
936#396—111no—
937#396—111no—
938#396C2×D1111yescharacteristic
939#396C2×D1111yescharacteristic, complemented
940#394—111no—
941#394—111no—
942#394—111no—
943#394—111no—
944#394—111no—
945#394—111no—
946#394—111no—
947#394—111no—
948#394—111no—
949#394C2×D1111yescharacteristic
950#394C2×D1111yescharacteristic
951#394C2×D1111yescharacteristic, complemented
952#392—111no—
953#392—111no—
954#392—111no—
955#392C2×D1111yescharacteristic
956#391—111no—
957#391—111no—
958#390—111no—
959#390—111no—
960#390—111no—
961#390—111no—
962#390—111no—
963#390—111no—
964#389—111no—
965#389—111no—
966#389—111no—
967#389—111no—
968#389—111no—
969#389—111no—
970#389—111no—
971#389—111no—
972#388—111no—
973#388—111no—
974#388—111no—
975#388—111no—
976#388—111no—
977#388—111no—
978#388—111no—
979#388—111no—
980#386—111no—
981#386—111no—
982#386—111no—
983#386—111no—
984#386—111no—
985#386—111no—
986#386—111no—
987#386—111no—
988#386—111no—
989#386—111no—
990#386—111no—
991#386—111no—
992#385—111no—
993#385—111no—
994#385—111no—
995#385—111no—
996#380—111no—
997#380—111no—
998#380—111no—
999#380—111no—
1000C4×C4⋊C4—111no—
1001C4×C4⋊C4—111no—
1002C4×C4⋊C4—111no—
1003C4×C4⋊C4C2×D1111yescharacteristic, complemented
1004C4×C22⋊C4—111no—
1005C4×C22⋊C4—111no—
1006C4×C22⋊C4—111no—
1007C4×C22⋊C4—111no—
1008C4×C22⋊C4—111no—
1009C4×C22⋊C4—111no—
1010C4×C22⋊C4—111no—
1011C4×C22⋊C4—111no—
1012C4×C22⋊C4—111no—
1013C4×C22⋊C4—111no—
1014C4×C22⋊C4C2×D1111yescharacteristic
1015C4×C22⋊C4C2×D1111yescharacteristic, complemented
1016C2×#95—111no—
1017C2×#95—111no—
1018C22×C11—22no—
1019C22×C11—22no—
1020C22×C11—22no—
1021C22×C11—22no—
1022C22×C11—22no—
1023C22×C11—22no—
1024C22×C11—41no—
1025C22×C11—41no—
1026C22×C11—41no—
1027C22×C11—41no—
1028C22×C11—41no—
1029C22×C11—41no—
1030C22×C11—41no—
1031C22×C11—41no—
1032C22×C11—41no—
1033C22×C11—41no—
1034C22×C11—41no—
1035C22×C11—41no—
1036C22×C11—41no—
1037C22×C11—41no—
1038C22×C11—41no—
1039C22×C11C23×D411yescharacteristic
1040C22×C11C23×D411yescharacteristic
1041C22×C11C22×#4111yescharacteristic
1042C22×C11C22×#4111yescharacteristic
1043C22×C11C22×#4111yescharacteristic
1044C22×C11#58511yescharacteristic
1045C22×C11#58511yescharacteristic
1046C2×D11—22no—
1047C2×D11—22no—
1048C2×D11—22no—
1049C2×D11—22no—
1050C2×D11—22no—
1051C2×D11—22no—
1052C2×D11—22no—
1053C2×D11—22no—
1054C2×D11—22no—
1055C2×D11—22no—
1056C2×D11—22no—
1057C2×D11—22no—
1058C2×D11—416no—
1059C2×D11—41no—
1060C2×D11—41no—
1061C2×D11—41no—
1062C2×D11—41no—
1063C2×D11—41no—
1064C2×D11—41no—
1065C2×D11—41no—
1066C2×D11—41no—
1067C2×D11—41no—
1068C2×D11—41no—
1069C2×D11—41no—
1070C2×D11—41no—
1071C2×D11—41no—
1072C2×D11—41no—
1073C2×D11—41no—
1074C2×D11C2×#12114yes—
1075C4×C11—22no—
1076C4×C11—22no—
1077C4×C11—22no—
1078C4×C11—22no—
1079C4×C11—41no—
1080C4×C11—41no—
1081C4×C11—41no—
1082C4×C11—41no—
1083C4×C11—41no—
1084C4×C11—41no—
1085C4×C11—41no—
1086C4×C11C2×#12114yes—
1087Dic11—22no—
1088Dic11—22no—
1089Dic11—22no—
1090Dic11—22no—
1091Dic11—22no—
1092Dic11—22no—
1093Dic11—41no—
1094Dic11—41no—
1095Dic11—41no—
1096Dic11—41no—
1097Dic11—41no—
1098Dic11C2×#12114yes—
1099C25—111no—
1100C2×#41—118no—
1101C2×#41—224no—
1102C2×#41—224no—
1103C2×#41—224no—
1104C2×#41—224no—
1105C2×#41—224no—
1106C22×Q8—111no—
1107C22×Q8—111no—
1108C22×D4—111no—
1109C22×D4—111no—
1110C22×D4—111no—
1111C22×D4—111no—
1112C22×D4—111no—
1113C22×D4—111no—
1114C22×D4—111no—
1115C22×D4—111no—
1116C22×D4—111no—
1117C22×D4—111no—
1118C22×D4—111no—
1119C22×D4—111no—
1120C22×D4—111no—
1121C22×D4—111no—
1122C22×D4—111no—
1123C22×D4C22×D1111yescharacteristic
1124C22×D4C22×D1111yescharacteristic
1125C22×D4C22×D1111yescharacteristic
1126C23×C4—111no—
1127C23×C4—111no—
1128C23×C4—111no—
1129C23×C4—111no—
1130C23×C4—111no—
1131C23×C4—111no—
1132C23×C4—111no—
1133C23×C4—111no—
1134C23×C4—111no—
1135C23×C4—111no—
1136C23×C4—111no—
1137C23×C4—111no—
1138C23×C4—111no—
1139C23×C4—111no—
1140C23×C4—111no—
1141C23×C4—224no—
1142C23×C4—224no—
1143C23×C4—224no—
1144C23×C4C22×D1111yescharacteristic
1145C23×C4C22×D1111yescharacteristic
1146C23×C4C22×D1111yescharacteristic
1147C4⋊Q8—224no—
1148#127—224no—
1149#124—224no—
1150#124—224no—
1151#123—224no—
1152#123—224no—
1153#123—224no—
1154#123—224no—
1155C22⋊Q8—224no—
1156C22⋊Q8—224no—
1157C22⋊Q8—224no—
1158C22⋊Q8—224no—
1159#121—224no—
1160#121—224no—
1161#121—224no—
1162#121—224no—
1163#121—224no—
1164#121—224no—
1165#121—224no—
1166#121—224no—
1167#121—224no—
1168#121—224no—
1169#121—224no—
1170#121—224no—
1171#120—224no—
1172#120—224no—
1173#120—224no—
1174#120—224no—
1175C4×Q8—224no—
1176C4×Q8—224no—
1177C4×D4—24no—
1178C4×D4—24no—
1179C4×D4—24no—
1180C4×D4—224no—
1181C4×D4—224no—
1182C4×D4—224no—
1183C4×D4—224no—
1184C4×D4—224no—
1185C4×D4—224no—
1186C4×D4—224no—
1187C4×D4—224no—
1188C4×D4—224no—
1189C4×D4—224no—
1190C4×D4—224no—
1191C4×D4—224no—
1192C4×D4—224no—
1193C4×D4—224no—
1194C4×D4—224no—
1195#117—24no—
1196#117—118no—
1197#117—224no—
1198#117—224no—
1199C2×C4⋊C4—111no—
1200C2×C4⋊C4—111no—
1201C2×C4⋊C4—111no—
1202C2×C4⋊C4—111no—
1203C2×C4⋊C4—111no—
1204C2×C4⋊C4—111no—
1205C2×C4⋊C4—111no—
1206C2×C4⋊C4—111no—
1207C2×C4⋊C4—111no—
1208C2×C4⋊C4—111no—
1209C2×C4⋊C4—111no—
1210C2×C4⋊C4—111no—
1211C2×C4⋊C4—111no—
1212C2×C4⋊C4—111no—
1213C2×C4⋊C4—111no—
1214C2×C4⋊C4—111no—
1215C2×C4⋊C4—111no—
1216C2×C4⋊C4—111no—
1217C2×C4⋊C4—111no—
1218C2×C4⋊C4—111no—
1219C2×C4⋊C4—111no—
1220C2×C4⋊C4C22×D1111yescharacteristic
1221C2×C4⋊C4C22×D1111yescharacteristic
1222C2×C4⋊C4C22×D1111yescharacteristic
1223C2×C4⋊C4C22×D1111yescharacteristic
1224C2×C4⋊C4C22×D1111yescharacteristic
1225C2×C4⋊C4C22×D1111yescharacteristic
1226C2×C4⋊C4C22×D1111yescharacteristic
1227C2×C22⋊C4—111no—
1228C2×C22⋊C4—111no—
1229C2×C22⋊C4—111no—
1230C2×C22⋊C4—111no—
1231C2×C22⋊C4—111no—
1232C2×C22⋊C4—111no—
1233C2×C22⋊C4—111no—
1234C2×C22⋊C4—111no—
1235C2×C22⋊C4—111no—
1236C2×C22⋊C4—111no—
1237C2×C22⋊C4—111no—
1238C2×C22⋊C4—111no—
1239C2×C22⋊C4—111no—
1240C2×C22⋊C4—111no—
1241C2×C22⋊C4—111no—
1242C2×C22⋊C4—111no—
1243C2×C22⋊C4—111no—
1244C2×C22⋊C4—111no—
1245C2×C22⋊C4—111no—
1246C2×C22⋊C4—111no—
1247C2×C22⋊C4—111no—
1248C2×C22⋊C4—111no—
1249C2×C22⋊C4—111no—
1250C2×C22⋊C4—111no—
1251C2×C22⋊C4—111no—
1252C2×C22⋊C4—111no—
1253C2×C22⋊C4—111no—
1254C2×C22⋊C4—111no—
1255C2×C22⋊C4—111no—
1256C2×C22⋊C4—111no—
1257C2×C22⋊C4—111no—
1258C2×C22⋊C4—111no—
1259C2×C22⋊C4—111no—
1260C2×C22⋊C4—111no—
1261C2×C22⋊C4—111no—
1262C2×C22⋊C4—111no—
1263C2×C22⋊C4—224no—
1264C2×C22⋊C4—224no—
1265C2×C22⋊C4C22×D1111yescharacteristic
1266C2×C22⋊C4C22×D1111yescharacteristic
1267C2×C22⋊C4C22×D1111yescharacteristic
1268C2×C22⋊C4C22×D1111yescharacteristic
1269C2×C22⋊C4C22×D1111yescharacteristic
1270C2×C22⋊C4C22×D1111yescharacteristic
1271C2×C22⋊C4C22×D1111yescharacteristic
1272C2×C22⋊C4C22×D1111yescharacteristic
1273C2×C22⋊C4C22×D1111yescharacteristic
1274C2×C22⋊C4C22×D1111yescharacteristic
1275C2×C22⋊C4C22×D1111yescharacteristic
1276C2×C22⋊C4C22×D1111yescharacteristic
1277C2×C42—111no—
1278C2×C42—111no—
1279C2×C42—111no—
1280C2×C42—111no—
1281C2×C42—111no—
1282C2×C42—111no—
1283C2×C42—111no—
1284C2×C42—111no—
1285C2×C42—111no—
1286C2×C42—111no—
1287C2×C42—111no—
1288C2×C42—111no—
1289C2×C42—224no—
1290C2×C42—224no—
1291C2×C42—224no—
1292C2×C42—224no—
1293C2×C42C22×D1111yescharacteristic
1294C2×C42C22×D1111yescharacteristic
1295C2×C42C22×D1111yescharacteristic
1296C2×C42C22×D1111yescharacteristic
1297#95—111no—
1298#95—111no—
1299#95—111no—
1300#95—111no—
1301#95—111no—
1302#95—111no—
1303#95—111no—
1304#95—111no—
1305#95—111no—
1306#95—111no—
1307#95—111no—
1308#95—111no—
1309#95—111no—
1310#95—111no—
1311#95—111no—
1312#95—111no—
1313#95—111no—
1314#95—111no—
1315#95C22×D1111yescharacteristic
1316#95C22×D1111yescharacteristic
1317#95C22×D1111yescharacteristic
1318#95C22×D1111yescharacteristic
1319#95C22×D1111yescharacteristic
1320#95C22×D1111yescharacteristic
1321C2×C11—42no—
1322C2×C11—42no—
1323C2×C11—81no—
1324C2×C11C22×#12111yescharacteristic
1325C2×C11#344411yescharacteristic
1326C2×C11#345511yescharacteristic
1327C2×C11D4×#4111yescharacteristic
1328C2×C11D4×#4111yescharacteristic
1329C2×C11D4×#4111yescharacteristic
1330C2×C11D4×#4111yescharacteristic
1331D11—24no—
1332D11—42no—
1333D11—42no—
1334D11—81no—
1335C24—111no—
1336C24—111no—
1337C24—111no—
1338C24—111no—
1339C24—222no—
1340C24—222no—
1341C24—222no—
1342C24—222no—
1343C24—222no—
1344C24—441no—
1345C24—441no—
1346C24C23×D1111yescharacteristic
1347C24C23×D1111yescharacteristic
1348C24C23×D1111yescharacteristic
1349#41—2232no—
1350#41—4416no—
1351C2×Q8—114no—
1352C2×Q8—222no—
1353C2×Q8—222no—
1354C2×Q8—222no—
1355C2×Q8—222no—
1356C2×Q8—222no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—22no—
1361C2×D4—22no—
1362C2×D4—22no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—114no—
1367C2×D4—114no—
1368C2×D4—114no—
1369C2×D4—222no—
1370C2×D4—222no—
1371C2×D4—222no—
1372C2×D4—222no—
1373C2×D4—222no—
1374C2×D4—222no—
1375C2×D4—222no—
1376C2×D4—222no—
1377C2×D4—222no—
1378C2×D4—222no—
1379C2×D4—222no—
1380C2×D4—222no—
1381C2×D4—222no—
1382C2×D4—222no—
1383C2×D4—222no—
1384C2×D4—222no—
1385C2×D4—222no—
1386C2×D4—222no—
1387C2×D4—222no—
1388C2×D4—222no—
1389C2×D4—222no—
1390C2×D4—222no—
1391C2×D4—222no—
1392C2×D4—222no—
1393C2×D4—222no—
1394C2×D4—222no—
1395C2×D4—222no—
1396C2×D4—222no—
1397C2×D4—222no—
1398C2×D4—222no—
1399C2×D4—222no—
1400C2×D4—222no—
1401C2×D4—222no—
1402C2×D4—441no—
1403C2×D4—441no—
1404C2×D4—441no—
1405C2×D4—441no—
1406C2×D4—441no—
1407C2×D4—441no—
1408C2×D4—441no—
1409C2×D4—441no—
1410C2×D4—441no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—111no—
1420C22×C4—114no—
1421C22×C4—114no—
1422C22×C4—114no—
1423C22×C4—111no—
1424C22×C4—111no—
1425C22×C4—111no—
1426C22×C4—111no—
1427C22×C4—111no—
1428C22×C4—111no—
1429C22×C4—114no—
1430C22×C4—111no—
1431C22×C4—111no—
1432C22×C4—111no—
1433C22×C4—111no—
1434C22×C4—111no—
1435C22×C4—222no—
1436C22×C4—222no—
1437C22×C4—222no—
1438C22×C4—222no—
1439C22×C4—222no—
1440C22×C4—222no—
1441C22×C4—222no—
1442C22×C4—222no—
1443C22×C4—222no—
1444C22×C4—222no—
1445C22×C4—222no—
1446C22×C4—222no—
1447C22×C4—222no—
1448C22×C4—222no—
1449C22×C4—222no—
1450C22×C4—222no—
1451C22×C4—222no—
1452C22×C4—222no—
1453C22×C4—222no—
1454C22×C4—222no—
1455C22×C4—222no—
1456C22×C4—222no—
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—441no—
1469C22×C4—441no—
1470C22×C4—441no—
1471C22×C4—441no—
1472C22×C4—441no—
1473C22×C4—441no—
1474C22×C4—4416no—
1475C22×C4—441no—
1476C22×C4—441no—
1477C22×C4D4×D1114yes—
1478C22×C4C23×D1111yescharacteristic
1479C22×C4C23×D1111yescharacteristic
1480C22×C4C23×D1111yescharacteristic
1481C22×C4C23×D1111yescharacteristic
1482C22×C4C23×D1111yescharacteristic
1483C22×C4C23×D1111yescharacteristic
1484C22×C4C23×D1111yescharacteristic
1485C22×C4C23×D1111yescharacteristic
1486C22×C4C23×D1111yescharacteristic
1487C22×C4C23×D1111yescharacteristic
1488C22×C4C23×D1111yescharacteristic
1489C22×C4C23×D1111yescharacteristic
1490C4⋊C4—22no—
1491C4⋊C4—22no—
1492C4⋊C4—22no—
1493C4⋊C4—22no—
1494C4⋊C4—22no—
1495C4⋊C4—22no—
1496C4⋊C4—41no—
1497C4⋊C4—114no—
1498C4⋊C4—114no—
1499C4⋊C4—222no—
1500C4⋊C4—222no—
1501C4⋊C4—222no—
1502C4⋊C4—222no—
1503C4⋊C4—222no—
1504C4⋊C4—222no—
1505C4⋊C4—222no—
1506C4⋊C4—222no—
1507C4⋊C4—222no—
1508C4⋊C4—222no—
1509C4⋊C4—222no—
1510C4⋊C4—222no—
1511C4⋊C4—222no—
1512C4⋊C4—222no—
1513C4⋊C4—222no—
1514C4⋊C4—222no—
1515C4⋊C4—441no—
1516C4⋊C4—441no—
1517C4⋊C4—441no—
1518C22⋊C4—22no—
1519C22⋊C4—22no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—114no—
1531C22⋊C4—114no—
1532C22⋊C4—114no—
1533C22⋊C4—114no—
1534C22⋊C4—222no—
1535C22⋊C4—222no—
1536C22⋊C4—222no—
1537C22⋊C4—222no—
1538C22⋊C4—222no—
1539C22⋊C4—222no—
1540C22⋊C4—222no—
1541C22⋊C4—222no—
1542C22⋊C4—222no—
1543C22⋊C4—222no—
1544C22⋊C4—222no—
1545C22⋊C4—222no—
1546C22⋊C4—222no—
1547C22⋊C4—222no—
1548C22⋊C4—222no—
1549C22⋊C4—222no—
1550C22⋊C4—222no—
1551C22⋊C4—222no—
1552C22⋊C4—222no—
1553C22⋊C4—222no—
1554C22⋊C4—222no—
1555C22⋊C4—222no—
1556C22⋊C4—222no—
1557C22⋊C4—222no—
1558C22⋊C4—222no—
1559C22⋊C4—222no—
1560C22⋊C4—222no—
1561C22⋊C4—222no—
1562C22⋊C4—222no—
1563C22⋊C4—222no—
1564C22⋊C4—441no—
1565C22⋊C4—441no—
1566C42—22no—
1567C42—22no—
1568C42—22no—
1569C42—114no—
1570C42—222no—
1571C42—222no—
1572C42—222no—
1573C42—222no—
1574C42—222no—
1575C42—222no—
1576C42—222no—
1577C42—222no—
1578C42—222no—
1579C42—222no—
1580C42—222no—
1581C42D4×D1114yes—
1582C11#3474311yescharacteristic, complemented, Sylow
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—112no—
1603C23—112no—
1604C23—112no—
1605C23—112no—
1606C23—112no—
1607C23—228no—
1608C23—221no—
1609C23—221no—
1610C23—221no—
1611C23—221no—
1612C23—221no—
1613C23—221no—
1614C23—221no—
1615C23—221no—
1616C23—221no—
1617C23—221no—
1618C23—221no—
1619C23—221no—
1620C23—221no—
1621C23—221no—
1622C23—221no—
1623C23—221no—
1624C23—221no—
1625C23—221no—
1626C23—221no—
1627C23—221no—
1628C23—221no—
1629C23—221no—
1630C23—221no—
1631C23—444no—
1632C23—444no—
1633C23—444no—
1634C23—444no—
1635C23—444no—
1636C23—444no—
1637C23C2×D4×D1112yes—
1638C23#41×D1112yes—
1639C23C24×D1111yescharacteristic
1640Q8—228no—
1641Q8—444no—
1642D4—44no—
1643D4—44no—
1644D4—44no—
1645D4—228no—
1646D4—228no—
1647D4—228no—
1648D4—444no—
1649D4—444no—
1650D4—444no—
1651D4—444no—
1652D4—444no—
1653D4—444no—
1654D4—444no—
1655D4—444no—
1656D4—444no—
1657D4—444no—
1658D4—444no—
1659D4—444no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—28no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—44no—
1691C2×C4—44no—
1692C2×C4—112no—
1693C2×C4—112no—
1694C2×C4—112no—
1695C2×C4—1116no—
1696C2×C4—112no—
1697C2×C4—112no—
1698C2×C4—112no—
1699C2×C4—112no—
1700C2×C4—112no—
1701C2×C4—112no—
1702C2×C4—221no—
1703C2×C4—221no—
1704C2×C4—221no—
1705C2×C4—221no—
1706C2×C4—221no—
1707C2×C4—221no—
1708C2×C4—221no—
1709C2×C4—221no—
1710C2×C4—221no—
1711C2×C4—221no—
1712C2×C4—221no—
1713C2×C4—221no—
1714C2×C4—228no—
1715C2×C4—221no—
1716C2×C4—221no—
1717C2×C4—221no—
1718C2×C4—221no—
1719C2×C4—221no—
1720C2×C4—221no—
1721C2×C4—221no—
1722C2×C4—221no—
1723C2×C4—221no—
1724C2×C4—221no—
1725C2×C4—221no—
1726C2×C4—221no—
1727C2×C4—221no—
1728C2×C4—221no—
1729C2×C4—221no—
1730C2×C4—444no—
1731C2×C4—444no—
1732C2×C4—444no—
1733C2×C4—444no—
1734C2×C4—444no—
1735C2×C4—444no—
1736C2×C4—444no—
1737C2×C4—444no—
1738C2×C4—444no—
1739C2×C4—444no—
1740C2×C4—444no—
1741C2×C4—444no—
1742C2×C4—444no—
1743C2×C4C2×D4×D1112yes—
1744C2×C4C2×D4×D1112yes—
1745C2×C4C2×D4×D1112yes—
1746C2×C4C2×D4×D1112yes—
1747C2×C4C2×D4×D1112yes—
1748C2×C4#41×D1112yes—
1749C2×C4#41×D1112yes—
1750C22—22no—
1751C22—22no—
1752C22—22no—
1753C22—22no—
1754C22—22no—
1755C22—22no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—114no—
1772C22—222no—
1773C22—222no—
1774C22—222no—
1775C22—222no—
1776C22—222no—
1777C22—222no—
1778C22—222no—
1779C22—222no—
1780C22—222no—
1781C22—222no—
1782C22—222no—
1783C22—222no—
1784C22—4416no—
1785C22—441no—
1786C22—441no—
1787C22—441no—
1788C22—441no—
1789C22—441no—
1790C22—441no—
1791C22—441no—
1792C22—441no—
1793C22—441no—
1794C22—441no—
1795C22—441no—
1796C22—441no—
1797C22—441no—
1798C22—441no—
1799C22—441no—
1800C22C22×D4×D1111yescharacteristic
1801C22C22×D4×D1111yescharacteristic
1802C22C2×#41×D1111yescharacteristic
1803C22C2×#41×D1111yescharacteristic
1804C22C2×#41×D1111yescharacteristic
1805C22#1062345311yescharacteristic
1806C22#1062345311yescharacteristic
1807C4—22no—
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—41no—
1818C4—114no—
1819C4—222no—
1820C4—222no—
1821C4—222no—
1822C4—222no—
1823C4—222no—
1824C4—222no—
1825C4—441no—
1826C4—441no—
1827C4—441no—
1828C4—441no—
1829C4—441no—
1830C4D11×#12114yes—
1831C2—42no—
1832C2—42no—
1833C2—81no—
1834C2—224no—
1835C2—442no—
1836C2—442no—
1837C2—881no—
1838C2C2×D11×#12111yescharacteristic
1839C2#1308191011yescharacteristic
1840C2#1308199911yescharacteristic
1841C2#1308209911yescharacteristic
1842C2#1308209911yescharacteristic
1843C2#1308209911yescharacteristic
1844C2#1308210211yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC11×#2392C2
hypercenter#2392D11
hypocenterC11#34743
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #2392

Complements

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

NH ≅ G/Ntype
1. C2×#10623079C2semidirect
2. C2×#10623078C2semidirect
3. C2×#10623078C2semidirect
4. C2×#10623053C2semidirect
5. #13072210C2semidirect
6. #13072208C2semidirect
7. #13072199C2semidirect
8. #13072197C2semidirect
9. #13072188C2semidirect
10. #13072186C2semidirect
11. #13072177C2semidirect
12. #13072175C2semidirect
13. #13072170C2semidirect
14. #13072168C2semidirect
15. #13072162C2semidirect
16. #13072160C2semidirect
17. #13072155C2semidirect
18. #13072153C2semidirect
19. #13072147C2semidirect
20. #13072145C2semidirect
21. #13071860C2semidirect
22. #13071860C2semidirect
23. #13071852C2semidirect
24. C4×#66948C2semidirect
25. C4×#66992C2semidirect
26. C4×#66992C2semidirect
27. C4×#66991C2semidirect
28. #13071102C2semidirect
29. #13071096C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2392C2semidirect
37. C2×C4×D4×C11C22semidirect
38. C2×C11×#117C22semidirect
39. C2×#66993C22semidirect
52. C2×C4×C22⋊D11C22semidirect
53. C2×C4×C22⋊D11C22semidirect
54. C22×C4×Dic11C22semidirect
67. C2×#66941C22semidirect
68. C2×#66940C22semidirect
69. C2×#66940C22semidirect
70. C2×#66938C22semidirect
71. C2×#66938C22semidirect
82. C2×(C22⋊D11)⋊C4C22semidirect
83. C2×(C22⋊D11)⋊C4C22semidirect
90. C2×C4×D44C22semidirect
93. C2×#66925C22semidirect
96. C2×C42×D11C22semidirect
97. C11×#398C22semidirect
98. C11×#397C22semidirect
100. C11×#396C22semidirect
103. C11×#394C22semidirect
105. C4×C11×C4⋊C4C22semidirect
107. C4×C11×C22⋊C4C22semidirect
110. #10622833C22semidirect
112. C4×C22⋊Dic11C22semidirect
114. #10622607C22semidirect
117. #10622603C22semidirect
121. #10622600C22semidirect
122. #10622600C22semidirect
123. #10622598C22semidirect
124. #10622596C22semidirect
125. #10622586C22semidirect
126. #10622585C22semidirect
127. #10622585C22semidirect
128. #10622585C22semidirect
129. #10622585C22semidirect
131. #10622574C22semidirect
138. #10622572C22semidirect
140. #10622571C22semidirect
143. #10622570C22semidirect
144. #10622570C22semidirect
148. #10622569C22semidirect
149. #10622566C22semidirect
151. #10622561C22semidirect
153. #10622558C22semidirect
155. #10622557C22semidirect
156. #10622555C22semidirect
157. #10622555C22semidirect
162. C4×(C2×D11)⋊C4C22semidirect
163. C4×(C2×D11)⋊C4C22semidirect
164. C4×C4⋊Dic11C22semidirect
165. C4×Dic11⋊C4C22semidirect
166. C4×Dic11⋊C4C22semidirect
168. #10622289C22semidirect
169. #10622288C22semidirect
170. #10622288C22semidirect
172. #10622285C22semidirect
174. #10622283C22semidirect
182. #10622278C22semidirect
185. #10622270C22semidirect
186. #10622270C22semidirect
187. #10622260C22semidirect
188. #10622260C22semidirect
189. #10622259C22semidirect
190. #10622259C22semidirect
216. C2×#4339D4semidirect
385. #66925D4semidirect
601. C22⋊Dic11#41semidirect
627. (C2×D11)⋊C4#41semidirect
684. #2392D11semidirect
856. C4×D11#121semidirect
913. C2×C4×D4C2×D11semidirect
917. C2×#117C2×D11semidirect
927. #398C2×D11semidirect
931. #397C2×D11semidirect
939. #396C2×D11semidirect
951. #394C2×D11semidirect
1003. C4×C4⋊C4C2×D11semidirect
1015. C4×C22⋊C4C2×D11semidirect
1582. C11#34743semidirect

Maximal subgroups

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

subgroupindex
C2×#106230792
C2×#106230782
C2×#106230532
#130722102
#130722082
#130721992
#130721972
#130721882
#130721862
#130721772
#130721752
#130721702
#130721682
#130721622
#130721602
#130721552
#130721532
#130721472
#130721452
#130718602
#130718522
C4×#669482
C4×#669922
C4×#669912
#130711022
#130710962
C4×C22⋊C4×D112
C11×#23922
#3474311