Finite Group Databasebeta

← #14923739

Subgroups — #14923739

Order 2816.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13073048C211yesmaximal, characteristic, complemented
2#13073044C211yesmaximal, characteristic, complemented
3#13073037C211yesmaximal, characteristic, complemented
4#13073033C211yesmaximal, characteristic, complemented
5#13073026C211yesmaximal, characteristic, complemented
6#13073022C211yesmaximal, characteristic, complemented
7#13073015C211yesmaximal, characteristic, complemented
8#13073011C211yesmaximal, characteristic, complemented
9#13073005C211yesmaximal, characteristic, complemented
10#13073001C211yesmaximal, characteristic, complemented
11#13072997C211yesmaximal, characteristic, complemented
12#13072869C211yesmaximal, characteristic
13#13072867C211yesmaximal, characteristic
14#13072864C211yesmaximal, characteristic
15#13072862C211yesmaximal, characteristic
16#13071919C211yesmaximal, characteristic, complemented
17#13071915C211yesmaximal, characteristic, complemented
18#13071915C211yesmaximal, characteristic, complemented
19#13071915C211yesmaximal, characteristic, complemented
20#13071166C211yesmaximal, characteristic, complemented
21#13071166C211yesmaximal, characteristic, complemented
22#13071166C211yesmaximal, characteristic, complemented
23#13071164C211yesmaximal, characteristic, complemented
24#13071095C211yesmaximal, characteristic, complemented
25#13071095C211yesmaximal, characteristic, complemented
26#13071018C211yesmaximal, characteristic, complemented
27#13070996C211yesmaximal, characteristic
28#13070996C211yesmaximal, characteristic
29C4×#66930C211yesmaximal, characteristic, complemented
30C2×#10622279C211yesmaximal, characteristic
31C11×#2493C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C22×(C2×D11)⋊C4C2211yescharacteristic
34C22×(C2×D11)⋊C4C2211yescharacteristic
35C22×C4×Dic11C2211yescharacteristic
36C22×C4×Dic11C2211yescharacteristic
37C2×#66951C2211yescharacteristic
38C2×#66951C2211yescharacteristic
39C2×#66951C2211yescharacteristic
40C2×#66930C2211yescharacteristic
41C2×#66930C2211yescharacteristic
42C2×#66930C2211yescharacteristic
43C2×#66930C2211yescharacteristic
44C2×#66929C2211yescharacteristic
45C11×#401C2211yescharacteristic, complemented
46C11×#400C2211yescharacteristic, complemented
47C11×#400C2211yescharacteristic, complemented
48C11×#400C2211yescharacteristic, complemented
49C11×#387C2211yescharacteristic, complemented
50C11×#387C2211yescharacteristic, complemented
51C11×#387C2211yescharacteristic, complemented
52C11×#385C2211yescharacteristic
53C11×#385C2211yescharacteristic
54C11×#383C2211yescharacteristic, complemented
55C11×#381C2211yescharacteristic
56C11×#381C2211yescharacteristic
57C11×#380C2211yescharacteristic
58C4×C11×C22⋊C4C2211yescharacteristic
59C2×C11×#95C2211yescharacteristic
60#10622825C2211yescharacteristic
61#10622824C2211yescharacteristic
62#10622824C2211yescharacteristic
63#10622823C2211yescharacteristic
64#10622823C2211yescharacteristic
65C4×C22⋊Dic11C2211yescharacteristic
66C2×C11⋊#95C2211yescharacteristic
67#10622607C2211yescharacteristic
68#10622607C2211yescharacteristic
69#10622607C2211yescharacteristic
70#10622606C2211yescharacteristic
71#10622606C2211yescharacteristic
72#10622606C2211yescharacteristic
73#10622603C2211yescharacteristic
74#10622603C2211yescharacteristic
75#10622603C2211yescharacteristic
76#10622589C2211yescharacteristic, complemented
77#10622589C2211yescharacteristic, complemented
78C4⋊C4×Dic11C2211yescharacteristic, complemented
79C4⋊C4×Dic11C2211yescharacteristic, complemented
80C4⋊C4×Dic11C2211yescharacteristic, complemented
81C4⋊C4×Dic11C2211yescharacteristic, complemented
82C4⋊C4×Dic11C2211yescharacteristic, complemented
83C4⋊C4×Dic11C2211yescharacteristic, complemented
84#10622585C2211yescharacteristic, complemented
85#10622585C2211yescharacteristic, complemented
86#10622585C2211yescharacteristic, complemented
87#10622585C2211yescharacteristic, complemented
88#10622568C2211yescharacteristic
89#10622568C2211yescharacteristic
90#10622568C2211yescharacteristic
91#10622568C2211yescharacteristic
92#10622563C2211yescharacteristic
93#10622563C2211yescharacteristic
94#10622559C2211yescharacteristic
95#10622559C2211yescharacteristic
96#10622555C2211yescharacteristic
97#10622555C2211yescharacteristic
98C22⋊C4×Dic11C2211yescharacteristic
99C22⋊C4×Dic11C2211yescharacteristic
100#10622553C2211yescharacteristic
101#10622553C2211yescharacteristic
102#10622553C2211yescharacteristic
103C4×Dic11⋊C4C2211yescharacteristic, complemented
104C4×Dic11⋊C4C2211yescharacteristic, complemented
105C42×Dic11C2211yescharacteristic, complemented
106C42×Dic11C2211yescharacteristic, complemented
107#10622289C2211yescharacteristic
108#10622288C2211yescharacteristic
109#10622288C2211yescharacteristic
110#10622288C2211yescharacteristic
111#10622288C2211yescharacteristic
112#10622288C2211yescharacteristic
113#10622288C2211yescharacteristic
114#10622287C2211yescharacteristic
115#10622287C2211yescharacteristic
116#10622287C2211yescharacteristic
117#10622283C2211yescharacteristic
118#10622283C2211yescharacteristic
119#10622283C2211yescharacteristic
120#10622282C2211yescharacteristic
121#10622282C2211yescharacteristic
122#10622282C2211yescharacteristic
123#10622280C2211yescharacteristic
124#10622280C2211yescharacteristic
125#10622280C2211yescharacteristic
126#10622280C2211yescharacteristic
127#10622280C2211yescharacteristic
128#10622280C2211yescharacteristic
129#10622280C2211yescharacteristic
130#10622280C2211yescharacteristic
131#10622279C2211yescharacteristic
132#10622279C2211yescharacteristic
133#10622279C2211yescharacteristic
134#10622279C2211yescharacteristic
135#10622279C2211yescharacteristic
136#10622279C2211yescharacteristic
137#10622279C2211yescharacteristic
138#10622279C2211yescharacteristic
139#10622279C2211yescharacteristic
140#10622279C2211yescharacteristic
141#10622279C2211yescharacteristic
142#10622279C2211yescharacteristic
143#10622279C2211yescharacteristic
144#10622279C2211yescharacteristic
145#10622279C2211yescharacteristic
146#10622279C2211yescharacteristic
147C11⋊#401C2211yescharacteristic, complemented
148C11⋊#401C2211yescharacteristic, complemented
149C11⋊#401C2211yescharacteristic, complemented
150#10622273C2211yescharacteristic, complemented
151#10622273C2211yescharacteristic, complemented
152#10622273C2211yescharacteristic, complemented
153#10622272C2211yescharacteristic, complemented
154#10622272C2211yescharacteristic, complemented
155#10622272C2211yescharacteristic, complemented
156#10622271C2211yescharacteristic, complemented
157#10622271C2211yescharacteristic, complemented
158#10622271C2211yescharacteristic, complemented
159#10622268C2211yescharacteristic, complemented
160#10622268C2211yescharacteristic, complemented
161#10622268C2211yescharacteristic, complemented
162#10622266C2211yescharacteristic, complemented
163#10622266C2211yescharacteristic, complemented
164#10622266C2211yescharacteristic, complemented
165#10622265C2211yescharacteristic, complemented
166#10622265C2211yescharacteristic, complemented
167#10622265C2211yescharacteristic, complemented
168#10622264C2211yescharacteristic, complemented
169#10622264C2211yescharacteristic, complemented
170#10622264C2211yescharacteristic, complemented
171#10622263C2211yescharacteristic, complemented
172#10622263C2211yescharacteristic, complemented
173#10622262C2211yescharacteristic, complemented
174#10622262C2211yescharacteristic, complemented
175#10622262C2211yescharacteristic, complemented
176#10622262C2211yescharacteristic, complemented
177#10622262C2211yescharacteristic, complemented
178#10622262C2211yescharacteristic, complemented
179#10622262C2211yescharacteristic, complemented
180#10622262C2211yescharacteristic, complemented
181#10622261C2211yescharacteristic, complemented
182#10622261C2211yescharacteristic, complemented
183#10622260C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×Dic11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C22×C4×D11—24no—
195C22×C4×D11—24no—
196C22×C4×D11—24no—
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C22⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C42×C11C2311yescharacteristic
212C2×C42×C11C2311yescharacteristic
213C2×C22⋊Dic11C2311yescharacteristic
214C2×C22⋊Dic11C2311yescharacteristic
215C2×C22⋊Dic11C2311yescharacteristic
216C2×C22⋊Dic11C2311yescharacteristic
217C2×(C2×D11)⋊C4—24no—
218C2×(C2×D11)⋊C4—24no—
219C2×(C2×D11)⋊C4C2311yescharacteristic
220C2×(C2×D11)⋊C4C2311yescharacteristic
221C2×(C2×D11)⋊C4C2311yescharacteristic
222C2×(C2×D11)⋊C4C2311yescharacteristic
223C2×(C2×D11)⋊C4C2311yescharacteristic
224C2×(C2×D11)⋊C4C2311yescharacteristic
225C2×(C2×D11)⋊C4C2311yescharacteristic
226C2×(C2×D11)⋊C4C2311yescharacteristic
227C2×(C2×D11)⋊C4C2311yescharacteristic
228C2×(C2×D11)⋊C4C2311yescharacteristic
229C2×(C2×D11)⋊C4C2311yescharacteristic
230C2×(C2×D11)⋊C4C2311yescharacteristic
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×C4⋊Dic11C2311yescharacteristic
244C2×C4⋊Dic11C2311yescharacteristic
245C2×C4⋊Dic11C2311yescharacteristic
246C2×C4⋊Dic11C2311yescharacteristic
247C2×C4⋊Dic11C2311yescharacteristic
248C2×C4⋊Dic11C2311yescharacteristic
249C2×Dic11⋊C4C2311yescharacteristic
250C2×Dic11⋊C4C2311yescharacteristic
251C2×Dic11⋊C4C2311yescharacteristic
252C2×Dic11⋊C4C2311yescharacteristic
253C2×Dic11⋊C4C2311yescharacteristic
254C2×Dic11⋊C4C2311yescharacteristic
255C2×Dic11⋊C4C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×Dic11⋊C4C2311yescharacteristic
258C2×Dic11⋊C4C2311yescharacteristic
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×C4×Dic11—24no—
270C2×C4×Dic11—24no—
271C2×C4×Dic11C2311yescharacteristic
272C2×C4×Dic11C2311yescharacteristic
273C2×C4×Dic11C2311yescharacteristic
274C2×C4×Dic11C2311yescharacteristic
275C2×C4×Dic11C2311yescharacteristic
276C2×C4×Dic11C2311yescharacteristic
277C2×C4×Dic11C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
293#66951—24no—
294#66951—24no—
295#66951—24no—
296#66930—24no—
297#66930—24no—
298#66930—24no—
299#66930—24no—
300#66929—24no—
301C11×#95C2311yescharacteristic
302C11×#95C2311yescharacteristic
303C11×#95C2311yescharacteristic
304C11×#95C2311yescharacteristic
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11⋊#95C2311yescharacteristic
322C11⋊#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357#34814—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C23×D11—22no—
360C23×D11—22no—
361C23×D11—22no—
362C23×D11—22no—
363C23×D11—22no—
364C23×D11—41no—
365C23×D11—41no—
366C23×D11C2411yescharacteristic
367C23×D11C2411yescharacteristic
368C22×C4×C11—22no—
369C22×C4×C11—22no—
370C22×C4×C11—22no—
371C22×C4×C11—22no—
372C22×C4×C11—22no—
373C22×C4×C11—22no—
374C22×C4×C11—22no—
375C22×C4×C11—41no—
376C22×C4×C11—41no—
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×Dic11—22no—
392C22×Dic11—22no—
393C22×Dic11—22no—
394C22×Dic11—22no—
395C22×Dic11—41no—
396C22×Dic11—41no—
397C22×Dic11#4114yes—
398C22×Dic11#4114yes—
399C22×Dic11#4114yes—
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C2×C4×D11—22no—
415C2×C4×D11—22no—
416C2×C4×D11—22no—
417C2×C4×D11—22no—
418C2×C4×D11—22no—
419C2×C4×D11—22no—
420C2×C4×D11—22no—
421C2×C4×D11—22no—
422C2×C4×D11—22no—
423C2×C4×D11—22no—
424C2×C4×D11—22no—
425C2×C4×D11—22no—
426C2×C4×D11—416no—
427C11×C4⋊C4—22no—
428C11×C4⋊C4—22no—
429C11×C4⋊C4—22no—
430C11×C4⋊C4—41no—
431C11×C4⋊C4—41no—
432C11×C4⋊C4—41no—
433C11×C22⋊C4—22no—
434C11×C22⋊C4—22no—
435C11×C22⋊C4—22no—
436C11×C22⋊C4—22no—
437C42×C11—22no—
438C42×C11—41no—
439C22⋊Dic11—22no—
440C22⋊Dic11—22no—
441C22⋊Dic11—22no—
442C22⋊Dic11—22no—
443(C2×D11)⋊C4—22no—
444(C2×D11)⋊C4—22no—
445(C2×D11)⋊C4—22no—
446(C2×D11)⋊C4—22no—
447(C2×D11)⋊C4—22no—
448(C2×D11)⋊C4—22no—
449(C2×D11)⋊C4—22no—
450(C2×D11)⋊C4—22no—
451(C2×D11)⋊C4—22no—
452(C2×D11)⋊C4—22no—
453(C2×D11)⋊C4—22no—
454(C2×D11)⋊C4—22no—
455(C2×D11)⋊C4—22no—
456(C2×D11)⋊C4—22no—
457(C2×D11)⋊C4—41no—
458(C2×D11)⋊C4—41no—
459(C2×D11)⋊C4—41no—
460(C2×D11)⋊C4—41no—
461(C2×D11)⋊C4—41no—
462(C2×D11)⋊C4—41no—
463(C2×D11)⋊C4—41no—
464(C2×D11)⋊C4—41no—
465(C2×D11)⋊C4#4114yes—
466(C2×D11)⋊C4#4114yes—
467C4⋊Dic11—22no—
468C4⋊Dic11—22no—
469C4⋊Dic11—22no—
470C4⋊Dic11—41no—
471C4⋊Dic11—41no—
472C4⋊Dic11—41no—
473Dic11⋊C4—22no—
474Dic11⋊C4—22no—
475Dic11⋊C4—22no—
476Dic11⋊C4—22no—
477Dic11⋊C4—22no—
478Dic11⋊C4—22no—
479Dic11⋊C4—22no—
480Dic11⋊C4—22no—
481Dic11⋊C4—22no—
482Dic11⋊C4—22no—
483Dic11⋊C4—22no—
484Dic11⋊C4—22no—
485Dic11⋊C4—22no—
486Dic11⋊C4—22no—
487Dic11⋊C4—41no—
488Dic11⋊C4—41no—
489Dic11⋊C4—41no—
490Dic11⋊C4—41no—
491Dic11⋊C4—41no—
492Dic11⋊C4—41no—
493C4×Dic11—22no—
494C4×Dic11—22no—
495C4×Dic11—22no—
496C4×Dic11—22no—
497C4×Dic11—22no—
498C4×Dic11—22no—
499C4×Dic11—22no—
500C4×Dic11—22no—
501C4×Dic11—22no—
502C4×Dic11—22no—
503C4×Dic11—22no—
504C4×Dic11—22no—
505C4×Dic11—22no—
506C4×Dic11—22no—
507C4×Dic11—22no—
508C4×Dic11—22no—
509C4×Dic11—22no—
510C4×Dic11—22no—
511C4×Dic11—22no—
512C4×Dic11—41no—
513C4×Dic11—41no—
514C4×Dic11—41no—
515#2497—111no—
516#2497—111no—
517#2496—111no—
518#2496—111no—
519#2495—111no—
520#2495—111no—
521#2494—111no—
522#2494—111no—
523#2493—111no—
524#2493—111no—
525#2493—111no—
526#2493D1111yescharacteristic, complemented
527#2480—111no—
528#2480—111no—
529#2480—111no—
530#2480—111no—
531#2401—111no—
532#2401—111no—
533#2401—111no—
534#2401—111no—
535C4×#126—111no—
536C4×#126—111no—
537C4×#126—111no—
538C4×#126—111no—
539#2296—111no—
540#2296—111no—
541#2285—111no—
542#2280—111no—
543#2280—111no—
544C4×#117—111no—
545C2×C4×C22⋊C4—111no—
546C23×C11—21no—
547C23×C11—21no—
548C23×C11—21no—
549C23×C11—21no—
550C23×C11C2×#4112yes—
551C23×C11C2×#4112yes—
552C23×C11C2×#4112yes—
553C23×C11C2511yescharacteristic
554C22×D11—28no—
555C22×D11—21no—
556C22×D11—21no—
557C22×D11—21no—
558C22×D11—21no—
559C22×D11—21no—
560C22×D11—21no—
561C22×D11—21no—
562C22×D11—21no—
563C22×D11—21no—
564C22×D11—21no—
565C22×D11—21no—
566C22×D11—21no—
567C22×D11—44no—
568C22×D11—44no—
569C22×D11—44no—
570C22×D11—44no—
571C22×D11—44no—
572C22×D11—44no—
573C22×D11C2×#4112yes—
574C22×D11C2×#4112yes—
575C2×C4×C11—21no—
576C2×C4×C11—21no—
577C2×C4×C11—21no—
578C2×C4×C11—21no—
579C2×C4×C11—21no—
580C2×C4×C11—21no—
581C2×C4×C11—21no—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—44no—
616C2×C4×C11—44no—
617C2×C4×C11—44no—
618C2×C4×C11C2×#4112yes—
619C2×C4×C11C2×#4112yes—
620C2×Dic11—21no—
621C2×Dic11—21no—
622C2×Dic11—21no—
623C2×Dic11—21no—
624C2×Dic11—21no—
625C2×Dic11—21no—
626C2×Dic11—21no—
627C2×Dic11—21no—
628C2×Dic11—21no—
629C2×Dic11—21no—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—44no—
655C2×Dic11—44no—
656C2×Dic11#126116yescomplemented
657C2×Dic11C2×#4112yes—
658C2×Dic11C2×#4112yes—
659C2×Dic11C2×#4112yes—
660C2×Dic11C2×#4112yes—
661C2×Dic11C2×#4112yes—
662C2×Dic11C2×#4112yes—
663C2×Dic11C2×#4112yes—
664C2×Dic11C2×#4112yes—
665C4×D11—44no—
666C4×D11—44no—
667C4×D11—44no—
668C4×D11—44no—
669C24×C4—111no—
670C2×#126—111no—
671C2×#126—111no—
672C2×#126—111no—
673C2×#126—111no—
674C2×#117—111no—
675C2×#117—111no—
676C2×#117—111no—
677C2×#117—111no—
678C22×C22⋊C4—111no—
679C22×C22⋊C4—111no—
680C22×C42—111no—
681C22×C42—111no—
682#401—111no—
683#401—111no—
684#401—111no—
685#401C2×D1111yescharacteristic, complemented
686#400—111no—
687#400—111no—
688#400—111no—
689#400—111no—
690#400—111no—
691#400—111no—
692#400—111no—
693#400—111no—
694#400—111no—
695#400C2×D1111yescharacteristic, complemented
696#400C2×D1111yescharacteristic, complemented
697#400C2×D1111yescharacteristic, complemented
698#397—111no—
699#397—111no—
700#397—111no—
701#397—111no—
702#397—111no—
703#397—111no—
704#397—111no—
705#397—111no—
706#397—111no—
707#397—111no—
708#397—111no—
709#397—111no—
710#396—111no—
711#396—111no—
712#396—111no—
713#396—111no—
714#389—111no—
715#389—111no—
716#389—111no—
717#389—111no—
718#389—111no—
719#389—111no—
720#389—111no—
721#389—111no—
722#388—111no—
723#388—111no—
724#388—111no—
725#388—111no—
726#388—111no—
727#388—111no—
728#388—111no—
729#388—111no—
730#388—111no—
731#388—111no—
732#388—111no—
733#388—111no—
734#387—111no—
735#387—111no—
736#387—111no—
737#387—111no—
738#387—111no—
739#387—111no—
740#387—111no—
741#387—111no—
742#387—111no—
743#387C2×D1111yescharacteristic, complemented
744#387C2×D1111yescharacteristic, complemented
745#387C2×D1111yescharacteristic, complemented
746#385—111no—
747#385—111no—
748#385—111no—
749#385—111no—
750#385—111no—
751#385—111no—
752#385C2×D1111yescharacteristic
753#385C2×D1111yescharacteristic
754#384—111no—
755#384—111no—
756#383—111no—
757#383—111no—
758#383—111no—
759#383C2×D1111yescharacteristic, complemented
760#382—111no—
761#382—111no—
762#381—111no—
763#381—111no—
764#381C2×D1111yescharacteristic
765#381C2×D1111yescharacteristic
766#380—111no—
767#380—111no—
768#380—111no—
769#380—111no—
770#380—111no—
771#380—111no—
772#380—111no—
773#380—111no—
774#380—111no—
775#380—111no—
776#380—111no—
777#380C2×D1111yescharacteristic
778#379—111no—
779#379—111no—
780#379—111no—
781#379—111no—
782C4×C4⋊C4—111no—
783C4×C4⋊C4—111no—
784C4×C4⋊C4—111no—
785C4×C4⋊C4—111no—
786C4×C4⋊C4—111no—
787C4×C4⋊C4—111no—
788C4×C4⋊C4—111no—
789C4×C4⋊C4—111no—
790C4×C4⋊C4—111no—
791C4×C4⋊C4—111no—
792C4×C4⋊C4—111no—
793C4×C4⋊C4—111no—
794C4×C4⋊C4—111no—
795C4×C4⋊C4—111no—
796C4×C4⋊C4—111no—
797C4×C4⋊C4—111no—
798C4×C22⋊C4—111no—
799C4×C22⋊C4—111no—
800C4×C22⋊C4—111no—
801C4×C22⋊C4—111no—
802C4×C22⋊C4—111no—
803C4×C22⋊C4—111no—
804C4×C22⋊C4—111no—
805C4×C22⋊C4—111no—
806C4×C22⋊C4—111no—
807C4×C22⋊C4—111no—
808C4×C22⋊C4—111no—
809C4×C22⋊C4—111no—
810C4×C22⋊C4—111no—
811C4×C22⋊C4—111no—
812C4×C22⋊C4—111no—
813C4×C22⋊C4—111no—
814C4×C22⋊C4—111no—
815C4×C22⋊C4—111no—
816C4×C22⋊C4—111no—
817C4×C22⋊C4C2×D1111yescharacteristic
818#376—111no—
819#376—111no—
820C2×#95—111no—
821C2×#95C2×D1111yescharacteristic
822C43—111no—
823C43—111no—
824C22×C11—22no—
825C22×C11—22no—
826C22×C11—22no—
827C22×C11—22no—
828C22×C11—22no—
829C22×C11—22no—
830C22×C11C2×#12614yes—
831C22×C11C22×#4111yescharacteristic
832C22×C11C22×#4111yescharacteristic
833C22×C11C22×#4111yescharacteristic
834C22×C11C22×#4111yescharacteristic
835C22×C11C22×#4111yescharacteristic
836C22×C11#58511yescharacteristic
837C22×C11#58511yescharacteristic
838C2×D11—22no—
839C2×D11—22no—
840C2×D11—22no—
841C2×D11—22no—
842C2×D11—22no—
843C2×D11—22no—
844C2×D11—416no—
845C2×D11—41no—
846C2×D11—41no—
847C2×D11—41no—
848C2×D11—41no—
849C2×D11—41no—
850C2×D11—41no—
851C2×D11—41no—
852C2×D11—41no—
853C4×C11—22no—
854C4×C11—22no—
855C4×C11—41no—
856C4×C11—41no—
857C4×C11—41no—
858C4×C11—41no—
859C4×C11—41no—
860C4×C11—41no—
861C4×C11—41no—
862C4×C11—41no—
863C4×C11—41no—
864C4×C11—41no—
865C4×C11—41no—
866C4×C11—41no—
867Dic11—22no—
868Dic11—22no—
869Dic11—41no—
870Dic11—41no—
871Dic11—41no—
872Dic11—41no—
873Dic11—41no—
874Dic11—41no—
875Dic11—41no—
876Dic11—41no—
877Dic11—41no—
878Dic11—41no—
879Dic11C2×#12614yes—
880Dic11C2×#12614yes—
881C25—111no—
882C23×C4—111no—
883C23×C4—111no—
884C23×C4—111no—
885C23×C4—111no—
886C23×C4—111no—
887C23×C4—111no—
888C23×C4—111no—
889C23×C4—224no—
890C23×C4—224no—
891C23×C4—224no—
892C23×C4C22×D1111yescharacteristic
893C23×C4C22×D1111yescharacteristic
894C23×C4C22×D1111yescharacteristic
895#126—224no—
896#126—224no—
897#126—224no—
898#126—224no—
899#117—224no—
900#117—224no—
901#117—224no—
902#117—224no—
903C2×C4⋊C4—111no—
904C2×C4⋊C4—111no—
905C2×C4⋊C4—111no—
906C2×C4⋊C4—111no—
907C2×C4⋊C4—111no—
908C2×C4⋊C4—111no—
909C2×C4⋊C4—111no—
910C2×C4⋊C4—111no—
911C2×C4⋊C4—111no—
912C2×C4⋊C4—111no—
913C2×C4⋊C4—111no—
914C2×C4⋊C4—111no—
915C2×C4⋊C4—111no—
916C2×C4⋊C4—111no—
917C2×C4⋊C4—111no—
918C2×C4⋊C4—111no—
919C2×C4⋊C4—111no—
920C2×C4⋊C4—111no—
921C2×C4⋊C4—111no—
922C2×C4⋊C4—111no—
923C2×C4⋊C4—111no—
924C2×C4⋊C4—111no—
925C2×C4⋊C4—111no—
926C2×C4⋊C4—111no—
927C2×C4⋊C4—111no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4C22×D1111yescharacteristic
930C2×C4⋊C4C22×D1111yescharacteristic
931C2×C4⋊C4C22×D1111yescharacteristic
932C2×C4⋊C4C22×D1111yescharacteristic
933C2×C4⋊C4C22×D1111yescharacteristic
934C2×C4⋊C4C22×D1111yescharacteristic
935C2×C22⋊C4—111no—
936C2×C22⋊C4—111no—
937C2×C22⋊C4—111no—
938C2×C22⋊C4—111no—
939C2×C22⋊C4—111no—
940C2×C22⋊C4—111no—
941C2×C22⋊C4—111no—
942C2×C22⋊C4—111no—
943C2×C22⋊C4—111no—
944C2×C22⋊C4—111no—
945C2×C22⋊C4—111no—
946C2×C22⋊C4—111no—
947C2×C22⋊C4—111no—
948C2×C22⋊C4—111no—
949C2×C22⋊C4—111no—
950C2×C22⋊C4—111no—
951C2×C22⋊C4—111no—
952C2×C22⋊C4—111no—
953C2×C22⋊C4—111no—
954C2×C22⋊C4—111no—
955C2×C22⋊C4—111no—
956C2×C22⋊C4—111no—
957C2×C22⋊C4—111no—
958C2×C22⋊C4—111no—
959C2×C22⋊C4—111no—
960C2×C22⋊C4—111no—
961C2×C22⋊C4—111no—
962C2×C22⋊C4—111no—
963C2×C22⋊C4—224no—
964C2×C22⋊C4—224no—
965C2×C22⋊C4C22×D1111yescharacteristic
966C2×C22⋊C4C22×D1111yescharacteristic
967C2×C22⋊C4C22×D1111yescharacteristic
968C2×C22⋊C4C22×D1111yescharacteristic
969C2×C42—111no—
970C2×C42—111no—
971C2×C42—111no—
972C2×C42—111no—
973C2×C42—111no—
974C2×C42—111no—
975C2×C42—111no—
976C2×C42—111no—
977C2×C42—111no—
978C2×C42—111no—
979C2×C42—111no—
980C2×C42—111no—
981C2×C42—111no—
982C2×C42—111no—
983C2×C42—111no—
984C2×C42—111no—
985C2×C42—111no—
986C2×C42—111no—
987C2×C42—111no—
988C2×C42—111no—
989C2×C42—111no—
990C2×C42—111no—
991C2×C42—224no—
992C2×C42—224no—
993C2×C42C22×D1111yescharacteristic
994C2×C42C22×D1111yescharacteristic
995#95—111no—
996#95—111no—
997#95—111no—
998#95—111no—
999#95—111no—
1000#95—111no—
1001#95—111no—
1002#95—111no—
1003#95—111no—
1004#95—111no—
1005#95—111no—
1006#95—111no—
1007#95—111no—
1008#95—111no—
1009#95—111no—
1010#95—111no—
1011#95—111no—
1012#95—111no—
1013#95—111no—
1014#95—111no—
1015#95—111no—
1016#95—111no—
1017#95—111no—
1018#95—111no—
1019#95—111no—
1020#95—111no—
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95C22×D1111yescharacteristic
1032#95C22×D1111yescharacteristic
1033#95C22×D1111yescharacteristic
1034#95C22×D1111yescharacteristic
1035#95C22×D1111yescharacteristic
1036#95C22×D1111yescharacteristic
1037#95C22×D1111yescharacteristic
1038#95C22×D1111yescharacteristic
1039#95C22×D1111yescharacteristic
1040#95C22×D1111yescharacteristic
1041#95C22×D1111yescharacteristic
1042#95C22×D1111yescharacteristic
1043#95C22×D1111yescharacteristic
1044#95C22×D1111yescharacteristic
1045#95C22×D1111yescharacteristic
1046#95C22×D1111yescharacteristic
1047#95C22×D1111yescharacteristic
1048#95C22×D1111yescharacteristic
1049#95C22×D1111yescharacteristic
1050#95C22×D1111yescharacteristic
1051C2×C11—24no—
1052C2×C11C22×#12611yescharacteristic
1053C2×C11#344411yescharacteristic
1054C2×C11#345511yescharacteristic
1055C2×C11#347511yescharacteristic
1056C2×C11#347511yescharacteristic
1057C2×C11#347511yescharacteristic
1058C2×C11#347511yescharacteristic
1059D11—42no—
1060D11—42no—
1061C24—111no—
1062C24—111no—
1063C24—222no—
1064C24—222no—
1065C24—222no—
1066C24—222no—
1067C24—222no—
1068C24—441no—
1069C24—441no—
1070C24C23×D1111yescharacteristic
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—41no—
1079C22×C4—41no—
1080C22×C4—114no—
1081C22×C4—114no—
1082C22×C4—114no—
1083C22×C4—111no—
1084C22×C4—111no—
1085C22×C4—111no—
1086C22×C4—111no—
1087C22×C4—111no—
1088C22×C4—111no—
1089C22×C4—111no—
1090C22×C4—111no—
1091C22×C4—111no—
1092C22×C4—111no—
1093C22×C4—111no—
1094C22×C4—111no—
1095C22×C4—111no—
1096C22×C4—111no—
1097C22×C4—222no—
1098C22×C4—222no—
1099C22×C4—222no—
1100C22×C4—222no—
1101C22×C4—222no—
1102C22×C4—222no—
1103C22×C4—222no—
1104C22×C4—222no—
1105C22×C4—222no—
1106C22×C4—222no—
1107C22×C4—222no—
1108C22×C4—222no—
1109C22×C4—222no—
1110C22×C4—222no—
1111C22×C4—222no—
1112C22×C4—222no—
1113C22×C4—4416no—
1114C22×C4—441no—
1115C22×C4—441no—
1116C22×C4C23×D1111yescharacteristic
1117C22×C4C23×D1111yescharacteristic
1118C22×C4C23×D1111yescharacteristic
1119C22×C4C23×D1111yescharacteristic
1120C22×C4C23×D1111yescharacteristic
1121C22×C4C23×D1111yescharacteristic
1122C22×C4C23×D1111yescharacteristic
1123C22×C4C23×D1111yescharacteristic
1124C22×C4C23×D1111yescharacteristic
1125C22×C4C23×D1111yescharacteristic
1126C22×C4C23×D1111yescharacteristic
1127C22×C4C23×D1111yescharacteristic
1128C22×C4C23×D1111yescharacteristic
1129C22×C4C23×D1111yescharacteristic
1130C4⋊C4—22no—
1131C4⋊C4—22no—
1132C4⋊C4—22no—
1133C4⋊C4—41no—
1134C4⋊C4—41no—
1135C4⋊C4—41no—
1136C4⋊C4—222no—
1137C4⋊C4—222no—
1138C4⋊C4—222no—
1139C4⋊C4—222no—
1140C4⋊C4—222no—
1141C4⋊C4—222no—
1142C4⋊C4—222no—
1143C4⋊C4—222no—
1144C4⋊C4—222no—
1145C4⋊C4—222no—
1146C4⋊C4—222no—
1147C4⋊C4—222no—
1148C4⋊C4—222no—
1149C4⋊C4—222no—
1150C4⋊C4—222no—
1151C4⋊C4—222no—
1152C4⋊C4—222no—
1153C4⋊C4—441no—
1154C4⋊C4—441no—
1155C4⋊C4—441no—
1156C4⋊C4—441no—
1157C4⋊C4—441no—
1158C4⋊C4—441no—
1159C4⋊C4—441no—
1160C4⋊C4—441no—
1161C4⋊C4—441no—
1162C22⋊C4—22no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—114no—
1167C22⋊C4—114no—
1168C22⋊C4—222no—
1169C22⋊C4—222no—
1170C22⋊C4—222no—
1171C22⋊C4—222no—
1172C22⋊C4—222no—
1173C22⋊C4—222no—
1174C22⋊C4—222no—
1175C22⋊C4—222no—
1176C22⋊C4—222no—
1177C22⋊C4—222no—
1178C22⋊C4—222no—
1179C22⋊C4—222no—
1180C22⋊C4—222no—
1181C22⋊C4—222no—
1182C22⋊C4—222no—
1183C22⋊C4—222no—
1184C22⋊C4—222no—
1185C22⋊C4—222no—
1186C22⋊C4—441no—
1187C22⋊C4—441no—
1188C22⋊C4—441no—
1189C22⋊C4—441no—
1190C22⋊C4—441no—
1191C22⋊C4—441no—
1192C22⋊C4—441no—
1193C22⋊C4—441no—
1194C42—22no—
1195C42—41no—
1196C42—222no—
1197C42—222no—
1198C42—222no—
1199C42—222no—
1200C42—222no—
1201C42—222no—
1202C42—222no—
1203C42—222no—
1204C42—222no—
1205C42—222no—
1206C42—222no—
1207C42—222no—
1208C42—222no—
1209C42—222no—
1210C42—222no—
1211C42—222no—
1212C42—222no—
1213C42—222no—
1214C42—222no—
1215C42—441no—
1216C42—441no—
1217C42—441no—
1218C11#3481411yescharacteristic, complemented, Sylow
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—112no—
1224C23—112no—
1225C23—228no—
1226C23—221no—
1227C23—221no—
1228C23—221no—
1229C23—221no—
1230C23—221no—
1231C23—221no—
1232C23—221no—
1233C23—221no—
1234C23—221no—
1235C23—221no—
1236C23—221no—
1237C23—221no—
1238C23—444no—
1239C23—444no—
1240C23—444no—
1241C23—444no—
1242C23—444no—
1243C23—444no—
1244C23#41×D1112yes—
1245C23#41×D1112yes—
1246C23#41×D1112yes—
1247C23C24×D1111yescharacteristic
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—44no—
1289C2×C4—44no—
1290C2×C4—44no—
1291C2×C4—1116no—
1292C2×C4—112no—
1293C2×C4—112no—
1294C2×C4—112no—
1295C2×C4—112no—
1296C2×C4—112no—
1297C2×C4—112no—
1298C2×C4—112no—
1299C2×C4—112no—
1300C2×C4—221no—
1301C2×C4—221no—
1302C2×C4—221no—
1303C2×C4—221no—
1304C2×C4—221no—
1305C2×C4—221no—
1306C2×C4—221no—
1307C2×C4—221no—
1308C2×C4—221no—
1309C2×C4—221no—
1310C2×C4—221no—
1311C2×C4—221no—
1312C2×C4—221no—
1313C2×C4—221no—
1314C2×C4—221no—
1315C2×C4—221no—
1316C2×C4—221no—
1317C2×C4—221no—
1318C2×C4—221no—
1319C2×C4—221no—
1320C2×C4—221no—
1321C2×C4—221no—
1322C2×C4—221no—
1323C2×C4—221no—
1324C2×C4—221no—
1325C2×C4—221no—
1326C2×C4—221no—
1327C2×C4—221no—
1328C2×C4—221no—
1329C2×C4—221no—
1330C2×C4—221no—
1331C2×C4—221no—
1332C2×C4—221no—
1333C2×C4—221no—
1334C2×C4—444no—
1335C2×C4—444no—
1336C2×C4—444no—
1337C2×C4—444no—
1338C2×C4—444no—
1339C2×C4—444no—
1340C2×C4#41×D1112yes—
1341C2×C4#41×D1112yes—
1342C22—22no—
1343C22—22no—
1344C22—22no—
1345C22—22no—
1346C22—22no—
1347C22—22no—
1348C22—222no—
1349C22—222no—
1350C22—222no—
1351C22—222no—
1352C22—222no—
1353C22—222no—
1354C22—4416no—
1355C22—441no—
1356C22—441no—
1357C22—441no—
1358C22—441no—
1359C22—441no—
1360C22—441no—
1361C22—441no—
1362C22—441no—
1363C22D11×#12614yes—
1364C22C2×#41×D1111yescharacteristic
1365C22C2×#41×D1111yescharacteristic
1366C22C2×#41×D1111yescharacteristic
1367C22C2×#41×D1111yescharacteristic
1368C22C2×#41×D1111yescharacteristic
1369C22#1062345511yescharacteristic
1370C22#1062345711yescharacteristic
1371C4—22no—
1372C4—22no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—41no—
1384C4—41no—
1385C4—114no—
1386C4—114no—
1387C4—222no—
1388C4—222no—
1389C4—441no—
1390C4—441no—
1391C4—441no—
1392C4—441no—
1393C4—441no—
1394C4—441no—
1395C4—441no—
1396C4—441no—
1397C4—441no—
1398C4—441no—
1399C2—24no—
1400C2—442no—
1401C2—442no—
1402C2C2×D11×#12611yescharacteristic
1403C2#1308191011yescharacteristic
1404C2#1308200211yescharacteristic
1405C2#1308217111yescharacteristic
1406C2#1308217111yescharacteristic
1407C2#1308218111yescharacteristic
1408C2#1308218111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2493C2
prime radicalC24×D11C23
hypercenter#2493D11
hypocenterC11#34814
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2493

Complements

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

NH ≅ G/Ntype
1. #13073048C2semidirect
2. #13073044C2semidirect
3. #13073037C2semidirect
4. #13073033C2semidirect
5. #13073026C2semidirect
6. #13073022C2semidirect
7. #13073015C2semidirect
8. #13073011C2semidirect
9. #13073005C2semidirect
10. #13073001C2semidirect
11. #13072997C2semidirect
16. #13071919C2semidirect
17. #13071915C2semidirect
18. #13071915C2semidirect
19. #13071915C2semidirect
20. #13071166C2semidirect
21. #13071166C2semidirect
22. #13071166C2semidirect
23. #13071164C2semidirect
24. #13071095C2semidirect
25. #13071095C2semidirect
26. #13071018C2semidirect
29. C4×#66930C2semidirect
31. C11×#2493C2semidirect
45. C11×#401C22semidirect
46. C11×#400C22semidirect
47. C11×#400C22semidirect
48. C11×#400C22semidirect
49. C11×#387C22semidirect
50. C11×#387C22semidirect
51. C11×#387C22semidirect
54. C11×#383C22semidirect
76. #10622589C22semidirect
77. #10622589C22semidirect
78. C4⋊C4×Dic11C22semidirect
79. C4⋊C4×Dic11C22semidirect
80. C4⋊C4×Dic11C22semidirect
81. C4⋊C4×Dic11C22semidirect
82. C4⋊C4×Dic11C22semidirect
83. C4⋊C4×Dic11C22semidirect
84. #10622585C22semidirect
85. #10622585C22semidirect
86. #10622585C22semidirect
87. #10622585C22semidirect
103. C4×Dic11⋊C4C22semidirect
104. C4×Dic11⋊C4C22semidirect
105. C42×Dic11C22semidirect
106. C42×Dic11C22semidirect
147. C11⋊#401C22semidirect
148. C11⋊#401C22semidirect
149. C11⋊#401C22semidirect
150. #10622273C22semidirect
151. #10622273C22semidirect
152. #10622273C22semidirect
153. #10622272C22semidirect
154. #10622272C22semidirect
155. #10622272C22semidirect
156. #10622271C22semidirect
157. #10622271C22semidirect
158. #10622271C22semidirect
159. #10622268C22semidirect
160. #10622268C22semidirect
161. #10622268C22semidirect
162. #10622266C22semidirect
163. #10622266C22semidirect
164. #10622266C22semidirect
165. #10622265C22semidirect
166. #10622265C22semidirect
167. #10622265C22semidirect
168. #10622264C22semidirect
169. #10622264C22semidirect
170. #10622264C22semidirect
171. #10622263C22semidirect
172. #10622263C22semidirect
173. #10622262C22semidirect
174. #10622262C22semidirect
175. #10622262C22semidirect
176. #10622262C22semidirect
177. #10622262C22semidirect
178. #10622262C22semidirect
179. #10622262C22semidirect
180. #10622262C22semidirect
181. #10622261C22semidirect
182. #10622261C22semidirect
183. #10622260C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
526. #2493D11semidirect
656. C2×Dic11#126semidirect
685. #401C2×D11semidirect
695. #400C2×D11semidirect
696. #400C2×D11semidirect
697. #400C2×D11semidirect
743. #387C2×D11semidirect
744. #387C2×D11semidirect
745. #387C2×D11semidirect
759. #383C2×D11semidirect
1218. C11#34814semidirect

Maximal subgroups

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

subgroupindex
#130730482
#130730442
#130730372
#130730332
#130730262
#130730222
#130730152
#130730112
#130730052
#130730012
#130729972
#130728692
#130728672
#130728642
#130728622
#130719192
#130719152
#130711662
#130711642
#130710952
#130710182
#130709962
C4×#669302
C2×#106222792
C11×#24932
#3481411