Finite Group Databasebeta

← #14924475

Subgroups — #14924475

Order 2816.

2062 conjugacy classes of subgroups.

The subgroup lattice has 1480 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13074261C211yesmaximal, characteristic, complemented
2#13074241C211yesmaximal, characteristic, complemented
3#13074211C211yesmaximal, characteristic, complemented
4#13074180C211yesmaximal, characteristic, complemented
5#13074162C211yesmaximal, characteristic, complemented
6#13074062C211yesmaximal, characteristic, complemented
7#13073915C211yesmaximal, characteristic, complemented
8#13073710C211yesmaximal, characteristic, complemented
9#13073457C211yesmaximal, characteristic, complemented
10#13073301C211yesmaximal, characteristic, complemented
11#13073249C211yesmaximal, characteristic, complemented
12#13072819C211yesmaximal, characteristic, complemented
13#13072727C211yesmaximal, characteristic, complemented
14#13072580C211yesmaximal, characteristic, complemented
15#13072522C211yesmaximal, characteristic, complemented
16#13071919C211yesmaximal, characteristic, complemented
17#13071889C211yesmaximal, characteristic, complemented
18#13071878C211yesmaximal, characteristic, complemented
19#13071833C211yesmaximal, characteristic
20#13071166C211yesmaximal, characteristic, complemented
21#13071157C211yesmaximal, characteristic, complemented
22#13071150C211yesmaximal, characteristic, complemented
23#13071143C211yesmaximal, characteristic, complemented
24#13071133C211yesmaximal, characteristic, complemented
25#13071108C211yesmaximal, characteristic, complemented
26#13071105C211yesmaximal, characteristic, complemented
27#13071105C211yesmaximal, characteristic, complemented
28#13071052C211yesmaximal, characteristic, complemented
29C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
30#13070955C211yesmaximal, characteristic, complemented
31C11×#2527C211yesmaximal, characteristic, complemented
32C22×#4343C2211yescharacteristic
33C2×#66982C2211yescharacteristic
34C2×C4×C22⋊D11C2211yescharacteristic
35C22×C4×Dic11C2211yescharacteristic
36C2×#66951C2211yescharacteristic
37C2×#66949C2211yescharacteristic
38C2×#66945C2211yescharacteristic
39C2×#66945C2211yescharacteristic
40C2×#66940C2211yescharacteristic
41C2×#66938C2211yescharacteristic
42C2×#66936C2211yescharacteristic
43C2×(C22⋊D11)⋊C4C2211yescharacteristic
44C2×(C22⋊D11)⋊C4C2211yescharacteristic
45C2×(C22⋊D11)⋊C4C2211yescharacteristic
46C2×(C22⋊D11)⋊C4C2211yescharacteristic
47C2×#66925C2211yescharacteristic
48C2×#66925C2211yescharacteristic
49C2×C42×D11C2211yescharacteristic
50C2×C42×D11C2211yescharacteristic
51C11×#401C2211yescharacteristic
52C11×#400C2211yescharacteristic
53C11×#397C2211yescharacteristic
54C11×#393C2211yescharacteristic
55C11×#391C2211yescharacteristic
56C11×#391C2211yescharacteristic
57C11×#388C2211yescharacteristic
58C11×#388C2211yescharacteristic
59C11×#387C2211yescharacteristic
60C11×#387C2211yescharacteristic
61C11×#387C2211yescharacteristic
62C11×#385C2211yescharacteristic
63C11×#381C2211yescharacteristic
64C4×C11×C22⋊C4C2211yescharacteristic
65C11×#376C2211yescharacteristic
66#10622843C2211yescharacteristic
67#10622843C2211yescharacteristic
68#10622842C2211yescharacteristic
69#10622826C2211yescharacteristic
70#10622605C2211yescharacteristic
71#10622603C2211yescharacteristic
72#10622603C2211yescharacteristic
73#10622603C2211yescharacteristic
74#10622603C2211yescharacteristic
75#10622602C2211yescharacteristic
76#10622602C2211yescharacteristic
77#10622601C2211yescharacteristic
78#10622601C2211yescharacteristic
79#10622594C2211yescharacteristic
80#10622593C2211yescharacteristic
81#10622592C2211yescharacteristic
82#10622591C2211yescharacteristic
83C4⋊C4×Dic11C2211yescharacteristic
84C4⋊C4×Dic11C2211yescharacteristic
85#10622573C2211yescharacteristic
86#10622573C2211yescharacteristic
87#10622573C2211yescharacteristic
88#10622572C2211yescharacteristic
89#10622572C2211yescharacteristic
90#10622571C2211yescharacteristic
91#10622571C2211yescharacteristic
92#10622570C2211yescharacteristic
93#10622569C2211yescharacteristic
94#10622563C2211yescharacteristic
95#10622562C2211yescharacteristic
96#10622559C2211yescharacteristic
97#10622558C2211yescharacteristic
98#10622557C2211yescharacteristic
99C22⋊C4×Dic11C2211yescharacteristic
100C22⋊C4×Dic11C2211yescharacteristic
101C22⋊C4×Dic11C2211yescharacteristic
102C22⋊C4×Dic11C2211yescharacteristic
103#10622553C2211yescharacteristic
104#10622553C2211yescharacteristic
105#10622553C2211yescharacteristic
106#10622552C2211yescharacteristic
107#10622552C2211yescharacteristic
108C4×(C2×D11)⋊C4C2211yescharacteristic
109#10622546C2211yescharacteristic
110#10622546C2211yescharacteristic
111#10622545C2211yescharacteristic
112C4×Dic11⋊C4C2211yescharacteristic
113C42×Dic11C2211yescharacteristic
114C42×Dic11C2211yescharacteristic
115#10622289C2211yescharacteristic
116#10622289C2211yescharacteristic
117#10622289C2211yescharacteristic
118#10622288C2211yescharacteristic
119#10622288C2211yescharacteristic
120#10622288C2211yescharacteristic
121#10622288C2211yescharacteristic
122#10622288C2211yescharacteristic
123#10622286C2211yescharacteristic
124#10622285C2211yescharacteristic
125#10622285C2211yescharacteristic
126#10622285C2211yescharacteristic
127#10622283C2211yescharacteristic
128#10622283C2211yescharacteristic
129#10622283C2211yescharacteristic
130#10622282C2211yescharacteristic
131#10622282C2211yescharacteristic
132#10622282C2211yescharacteristic
133#10622281C2211yescharacteristic
134#10622280C2211yescharacteristic
135#10622279C2211yescharacteristic
136#10622279C2211yescharacteristic
137#10622279C2211yescharacteristic
138#10622279C2211yescharacteristic
139#10622279C2211yescharacteristic
140#10622279C2211yescharacteristic
141#10622279C2211yescharacteristic
142#10622279C2211yescharacteristic
143#10622279C2211yescharacteristic
144#10622279C2211yescharacteristic
145#10622279C2211yescharacteristic
146#10622279C2211yescharacteristic
147#10622279C2211yescharacteristic
148#10622279C2211yescharacteristic
149#10622278C2211yescharacteristic
150#10622278C2211yescharacteristic
151#10622278C2211yescharacteristic
152#10622278C2211yescharacteristic
153#10622278C2211yescharacteristic
154#10622278C2211yescharacteristic
155#10622278C2211yescharacteristic
156#10622278C2211yescharacteristic
157#10622277C2211yescharacteristic
158#10622272C2211yescharacteristic
159#10622271C2211yescharacteristic
160#10622271C2211yescharacteristic
161#10622271C2211yescharacteristic
162#10622270C2211yescharacteristic
163#10622270C2211yescharacteristic
164#10622268C2211yescharacteristic
165#10622268C2211yescharacteristic
166#10622267C2211yescharacteristic
167#10622266C2211yescharacteristic
168#10622266C2211yescharacteristic
169#10622266C2211yescharacteristic
170#10622265C2211yescharacteristic
171#10622265C2211yescharacteristic
172#10622264C2211yescharacteristic
173#10622263C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622262C2211yescharacteristic
180#10622262C2211yescharacteristic
181#10622262C2211yescharacteristic
182#10622262C2211yescharacteristic
183#10622261C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×Q8×C11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C2×#4343—24no—
195C2×#4343—24no—
196C2×#4343—42no—
197C22×D44C2311yescharacteristic
198C22×D44C2311yescharacteristic
199C22×D44C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×Dic22C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226#66982—24no—
227C4×C22⋊D11—24no—
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×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×C4×Dic11—42no—
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
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300#66951—24no—
301#66949—24no—
302#66945—24no—
303#66945—42no—
304#66940—42no—
305#66938—24no—
306#66936—24no—
307(C22⋊D11)⋊C4—24no—
308(C22⋊D11)⋊C4—24no—
309(C22⋊D11)⋊C4—24no—
310(C22⋊D11)⋊C4—42no—
311#66925—24no—
312#66925—24no—
313C42×D11—24no—
314C42×D11—42no—
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
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363#34861—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C23×D11C2411yescharacteristic
366C23×D11C2411yescharacteristic
367C23×D11C2411yescharacteristic
368C2×Q8×C11—22no—
369C2×Q8×C11—22no—
370C2×Q8×C11—41no—
371C22×C4×C11—22no—
372C22×C4×C11—22no—
373C22×C4×C11—41no—
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
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
388C2×C22⋊D11—22no—
389C2×C22⋊D11—22no—
390C2×C22⋊D11—22no—
391C2×C22⋊D11—22no—
392C2×C22⋊D11—22no—
393C2×C22⋊D11—22no—
394C2×C22⋊D11—22no—
395C2×C22⋊D11—41no—
396C2×C22⋊D11—41no—
397C22×Dic11—22no—
398C22×Dic11—22no—
399C22×Dic11—22no—
400C22×Dic11—22no—
401C22×Dic11—41no—
402C22×Dic11—41no—
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416#4343—416no—
417C2×D44—22no—
418C2×D44—22no—
419C2×D44—22no—
420C2×D44—22no—
421C2×D44—22no—
422C2×D44—22no—
423C2×D44—41no—
424C2×D44—41no—
425C2×D44—41no—
426C2×C4×D11—22no—
427C2×C4×D11—22no—
428C2×C4×D11—22no—
429C2×C4×D11—22no—
430C2×C4×D11—22no—
431C2×C4×D11—22no—
432C2×C4×D11—22no—
433C2×C4×D11—22no—
434C2×C4×D11—22no—
435C2×C4×D11—22no—
436C2×C4×D11—22no—
437C2×C4×D11—22no—
438C2×C4×D11—22no—
439C2×C4×D11—22no—
440C2×C4×D11—22no—
441C2×C4×D11—41no—
442C2×C4×D11—41no—
443C2×C4×D11—41no—
444C2×C4×D11—41no—
445C2×C4×D11#4114yes—
446C2×C4×D11#4114yes—
447C2×Dic22—22no—
448C2×Dic22—22no—
449C2×Dic22—41no—
450C11×C4⋊C4—22no—
451C11×C4⋊C4—22no—
452C11×C4⋊C4—22no—
453C11×C4⋊C4—41no—
454C11×C4⋊C4—41no—
455C11×C22⋊C4—22no—
456C11×C22⋊C4—22no—
457C11×C22⋊C4—22no—
458C11×C22⋊C4—22no—
459C11×C22⋊C4—22no—
460C11×C22⋊C4—41no—
461C42×C11—22no—
462C42×C11—22no—
463C42×C11—22no—
464C42×C11—41no—
465C22⋊Dic11—22no—
466C22⋊Dic11—41no—
467C22⋊Dic11#4114yescomplemented
468(C2×D11)⋊C4—22no—
469(C2×D11)⋊C4—22no—
470(C2×D11)⋊C4—22no—
471(C2×D11)⋊C4—22no—
472(C2×D11)⋊C4—22no—
473(C2×D11)⋊C4—22no—
474(C2×D11)⋊C4—22no—
475(C2×D11)⋊C4—22no—
476(C2×D11)⋊C4—22no—
477(C2×D11)⋊C4—22no—
478(C2×D11)⋊C4—22no—
479(C2×D11)⋊C4—22no—
480(C2×D11)⋊C4—22no—
481(C2×D11)⋊C4—22no—
482(C2×D11)⋊C4—22no—
483(C2×D11)⋊C4—22no—
484(C2×D11)⋊C4—22no—
485(C2×D11)⋊C4—22no—
486(C2×D11)⋊C4—22no—
487(C2×D11)⋊C4—22no—
488(C2×D11)⋊C4—41no—
489(C2×D11)⋊C4—41no—
490(C2×D11)⋊C4—41no—
491(C2×D11)⋊C4—41no—
492(C2×D11)⋊C4—41no—
493(C2×D11)⋊C4—41no—
494(C2×D11)⋊C4—41no—
495(C2×D11)⋊C4—41no—
496(C2×D11)⋊C4—41no—
497C4⋊Dic11—22no—
498C4⋊Dic11—22no—
499C4⋊Dic11—22no—
500C4⋊Dic11—41no—
501Dic11⋊C4—22no—
502Dic11⋊C4—22no—
503Dic11⋊C4—22no—
504Dic11⋊C4—22no—
505Dic11⋊C4—22no—
506Dic11⋊C4—22no—
507Dic11⋊C4—22no—
508Dic11⋊C4—22no—
509Dic11⋊C4—22no—
510Dic11⋊C4—22no—
511Dic11⋊C4—22no—
512Dic11⋊C4—41no—
513Dic11⋊C4—41no—
514Dic11⋊C4—41no—
515Dic11⋊C4—41no—
516Dic11⋊C4—41no—
517Dic11⋊C4#4114yescomplemented
518C4×Dic11—22no—
519C4×Dic11—22no—
520C4×Dic11—22no—
521C4×Dic11—22no—
522C4×Dic11—22no—
523C4×Dic11—22no—
524C4×Dic11—22no—
525C4×Dic11—22no—
526C4×Dic11—22no—
527C4×Dic11—22no—
528C4×Dic11—22no—
529C4×Dic11—22no—
530C4×Dic11—22no—
531C4×Dic11—22no—
532C4×Dic11—22no—
533C4×Dic11—41no—
534C4×Dic11—41no—
535C4×Dic11—41no—
536C4×Dic11—41no—
537C4×Dic11—41no—
538C4×Dic11#4114yescomplemented
539#2605—111no—
540#2603—111no—
541#2601—111no—
542#2598—111no—
543#2597—111no—
544#2589—111no—
545#2576—111no—
546#2557—111no—
547#2531—111no—
548#2527D1111yescharacteristic, complemented
549#2520—111no—
550#2516—111no—
551#2477—111no—
552#2471—111no—
553#2461—111no—
554#2457—111no—
555#2401—111no—
556#2396—111no—
557#2395—111no—
558#2388—111no—
559C4×#126—111no—
560C4×#124—111no—
561C4×C22⋊Q8—111no—
562C4×#123—111no—
563C4×#123—111no—
564#2298—111no—
565#2297—111no—
566#2297—111no—
567#2290—111no—
568C42×D4—111no—
569C4×#117—111no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11C2×#4112yes—
577C23×C11C2511yescharacteristic
578C22×D11—21no—
579C22×D11—21no—
580C22×D11—21no—
581C22×D11—21no—
582C22×D11—21no—
583C22×D11—21no—
584C22×D11—21no—
585C22×D11—21no—
586C22×D11—21no—
587C22×D11—21no—
588C22×D11—21no—
589C22×D11—21no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—21no—
596C22×D11—21no—
597C22×D11C2×#4112yes—
598C22×D11C2×#4112yes—
599Q8×C11—44no—
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—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—44no—
639C2×C4×C11C2×#4112yes—
640C2×C4×C11C2×#4112yes—
641C2×C4×C11C2×#4112yes—
642C2×C4×C11C2×#4112yes—
643C22⋊D11—28no—
644C22⋊D11—44no—
645C22⋊D11—44no—
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—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—44no—
677C2×Dic11—44no—
678C2×Dic11C2×#4112yes—
679C2×Dic11C2×#4112yes—
680C2×Dic11C2×#4112yes—
681C2×Dic11C2×#4112yes—
682C2×Dic11C2×#4112yes—
683C2×Dic11C2×#4112yes—
684C2×Dic11C2×#4112yes—
685C2×Dic11C2×#4112yes—
686C2×Dic11H(5,𝔽2)12yes—
687D44—44no—
688D44—44no—
689D44—44no—
690C4×D11—28no—
691C4×D11—28no—
692C4×D11—28no—
693C4×D11—44no—
694C4×D11—44no—
695C4×D11—44no—
696C4×D11—44no—
697Dic22—44no—
698C22×#41—111no—
699C2×#126—111no—
700C2×#124—111no—
701C2×#123—111no—
702C2×#123—111no—
703C2×C22⋊Q8—111no—
704C2×C4×Q8—111no—
705C2×C4×D4—111no—
706C2×C4×D4—111no—
707C2×C4×D4—111no—
708C2×C4×D4—111no—
709C2×C4×D4—111no—
710C2×#117—111no—
711C2×#117—111no—
712C2×#117—111no—
713C2×#117—111no—
714C22×C42—111no—
715C22×C42—111no—
716C22×C42—111no—
717#401C2×D1111yescharacteristic
718#400—111no—
719#400—111no—
720#400—111no—
721#400—111no—
722#400C2×D1111yescharacteristic
723#399—111no—
724#399—111no—
725#398—111no—
726#398—111no—
727#398—111no—
728#397—111no—
729#397—111no—
730#397—111no—
731#397—111no—
732#397—111no—
733#397C2×D1111yescharacteristic
734#396—111no—
735#396—111no—
736#396—111no—
737#395—111no—
738#395—111no—
739#394—111no—
740#394—111no—
741#394—111no—
742#394—111no—
743#394—111no—
744#393—111no—
745#393C2×D1111yescharacteristic
746#392—111no—
747#392—111no—
748#392—111no—
749#391—111no—
750#391—111no—
751#391—111no—
752#391—111no—
753#391C2×D1111yescharacteristic
754#391C2×D1111yescharacteristic
755#390—111no—
756#390—111no—
757#390—111no—
758#390—111no—
759#390—111no—
760#389—111no—
761#388—111no—
762#388—111no—
763#388—111no—
764#388—111no—
765#388—111no—
766#388—111no—
767#388—111no—
768#388—111no—
769#388—111no—
770#388—111no—
771#388—111no—
772#388—111no—
773#388—111no—
774#388—111no—
775#388—111no—
776#388C2×D1111yescharacteristic
777#388C2×D1111yescharacteristic
778#387—111no—
779#387—111no—
780#387—111no—
781#387—111no—
782#387—111no—
783#387—111no—
784#387—111no—
785#387—111no—
786#387—111no—
787#387—111no—
788#387—111no—
789#387—111no—
790#387C2×D1111yescharacteristic
791#387C2×D1111yescharacteristic
792#387C2×D1111yescharacteristic
793#386—111no—
794#386—111no—
795#386—111no—
796#386—111no—
797#386—111no—
798#386—111no—
799#386—111no—
800#386—111no—
801#386—111no—
802#386—111no—
803#386—111no—
804#386—111no—
805#385—111no—
806#385—111no—
807#385—111no—
808#385—111no—
809#385—111no—
810#385C2×D1111yescharacteristic
811#383—111no—
812#382—111no—
813#381—111no—
814#381C2×D1111yescharacteristic
815#380—111no—
816C4×C4⋊C4—111no—
817C4×C4⋊C4—111no—
818C4×C4⋊C4—111no—
819C4×C4⋊C4—111no—
820C4×C4⋊C4—111no—
821C4×C4⋊C4—111no—
822C4×C4⋊C4—111no—
823C4×C4⋊C4—111no—
824C4×C4⋊C4—111no—
825C4×C4⋊C4—111no—
826C4×C4⋊C4—111no—
827C4×C4⋊C4—111no—
828C4×C22⋊C4—111no—
829C4×C22⋊C4—111no—
830C4×C22⋊C4—111no—
831C4×C22⋊C4—111no—
832C4×C22⋊C4—111no—
833C4×C22⋊C4—111no—
834C4×C22⋊C4—111no—
835C4×C22⋊C4—111no—
836C4×C22⋊C4—111no—
837C4×C22⋊C4—111no—
838C4×C22⋊C4—111no—
839C4×C22⋊C4—111no—
840C4×C22⋊C4—111no—
841C4×C22⋊C4—111no—
842C4×C22⋊C4—111no—
843C4×C22⋊C4—111no—
844C4×C22⋊C4—111no—
845C4×C22⋊C4—111no—
846C4×C22⋊C4—111no—
847C4×C22⋊C4C2×D1111yescharacteristic
848#376—111no—
849#376—111no—
850#376C2×D1111yescharacteristic
851C43—111no—
852C43—111no—
853C22×C11—22no—
854C22×C11—22no—
855C22×C11—22no—
856C22×C11—41no—
857C22×C11—41no—
858C22×C11—41no—
859C22×C11—41no—
860C22×C11C22×#4111yescharacteristic
861C22×C11C22×#4111yescharacteristic
862C22×C11C22×#4111yescharacteristic
863C22×C11C22×#4111yescharacteristic
864C22×C11C22×#4111yescharacteristic
865C22×C11C2×H(5,𝔽2)11yescharacteristic
866C22×C11#58511yescharacteristic
867C2×D11—22no—
868C2×D11—22no—
869C2×D11—22no—
870C2×D11—22no—
871C2×D11—22no—
872C2×D11—22no—
873C2×D11—41no—
874C2×D11—41no—
875C2×D11—41no—
876C2×D11—41no—
877C2×D11—41no—
878C2×D11—41no—
879C2×D11—41no—
880C2×D11—41no—
881C2×D11—41no—
882C2×D11—41no—
883C2×D11—41no—
884C2×D11—41no—
885C2×D11—41no—
886C2×D11—41no—
887C2×D11—41no—
888C4×C11—22no—
889C4×C11—22no—
890C4×C11—22no—
891C4×C11—22no—
892C4×C11—41no—
893C4×C11—41no—
894C4×C11—41no—
895C4×C11—41no—
896C4×C11—41no—
897C4×C11—41no—
898C4×C11—41no—
899C4×C11—41no—
900C4×C11—41no—
901C4×C11—41no—
902Dic11—22no—
903Dic11—22no—
904Dic11—22no—
905Dic11—22no—
906Dic11—22no—
907Dic11—22no—
908Dic11—41no—
909Dic11—41no—
910Dic11—41no—
911Dic11—41no—
912Dic11—41no—
913Dic11—41no—
914Dic11#55114yes—
915C2×#41—224no—
916C2×#41—224no—
917C2×#41—442no—
918C22×Q8—111no—
919C22×Q8C22×D1111yescharacteristic
920C22×D4—111no—
921C22×D4—111no—
922C22×D4—111no—
923C22×D4—111no—
924C22×D4—111no—
925C22×D4—111no—
926C23×C4—111no—
927C23×C4—111no—
928C23×C4—111no—
929C23×C4—111no—
930C23×C4—111no—
931C23×C4—111no—
932C23×C4—111no—
933C23×C4—111no—
934C23×C4—111no—
935C23×C4C22×D1111yescharacteristic
936#126—224no—
937#124—224no—
938#123—224no—
939#123—224no—
940C22⋊Q8—224no—
941C4×Q8—442no—
942C4×D4—224no—
943C4×D4—224no—
944C4×D4—224no—
945C4×D4—224no—
946C4×D4—442no—
947#117—224no—
948#117—224no—
949#117—224no—
950#117—442no—
951C2×C4⋊C4—111no—
952C2×C4⋊C4—111no—
953C2×C4⋊C4—111no—
954C2×C4⋊C4—111no—
955C2×C4⋊C4—111no—
956C2×C4⋊C4—111no—
957C2×C4⋊C4—111no—
958C2×C4⋊C4—111no—
959C2×C4⋊C4—111no—
960C2×C4⋊C4—111no—
961C2×C4⋊C4—111no—
962C2×C4⋊C4—111no—
963C2×C4⋊C4—111no—
964C2×C4⋊C4—111no—
965C2×C4⋊C4—111no—
966C2×C4⋊C4—111no—
967C2×C4⋊C4—111no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—111no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4C22×D1111yescharacteristic
973C2×C4⋊C4C22×D1111yescharacteristic
974C2×C4⋊C4C22×D1111yescharacteristic
975C2×C4⋊C4C22×D1111yescharacteristic
976C2×C4⋊C4C22×D1111yescharacteristic
977C2×C22⋊C4—111no—
978C2×C22⋊C4—111no—
979C2×C22⋊C4—111no—
980C2×C22⋊C4—111no—
981C2×C22⋊C4—111no—
982C2×C22⋊C4—111no—
983C2×C22⋊C4—111no—
984C2×C22⋊C4—111no—
985C2×C22⋊C4—111no—
986C2×C22⋊C4—111no—
987C2×C22⋊C4—111no—
988C2×C22⋊C4—111no—
989C2×C22⋊C4—111no—
990C2×C22⋊C4—111no—
991C2×C22⋊C4—111no—
992C2×C22⋊C4—111no—
993C2×C22⋊C4—111no—
994C2×C22⋊C4—111no—
995C2×C22⋊C4—111no—
996C2×C22⋊C4—111no—
997C2×C22⋊C4—111no—
998C2×C22⋊C4—111no—
999C2×C22⋊C4—111no—
1000C2×C22⋊C4—111no—
1001C2×C22⋊C4—111no—
1002C2×C22⋊C4—111no—
1003C2×C22⋊C4—111no—
1004C2×C22⋊C4—111no—
1005C2×C22⋊C4—111no—
1006C2×C22⋊C4—111no—
1007C2×C22⋊C4—111no—
1008C2×C22⋊C4—111no—
1009C2×C22⋊C4C22×D1111yescharacteristic
1010C2×C22⋊C4C22×D1111yescharacteristic
1011C2×C22⋊C4C22×D1111yescharacteristic
1012C2×C22⋊C4C22×D1111yescharacteristic
1013C2×C22⋊C4C22×D1111yescharacteristic
1014C2×C22⋊C4C22×D1111yescharacteristic
1015C2×C42—111no—
1016C2×C42—111no—
1017C2×C42—111no—
1018C2×C42—111no—
1019C2×C42—111no—
1020C2×C42—111no—
1021C2×C42—111no—
1022C2×C42—111no—
1023C2×C42—111no—
1024C2×C42—111no—
1025C2×C42—111no—
1026C2×C42—111no—
1027C2×C42—111no—
1028C2×C42—111no—
1029C2×C42—111no—
1030C2×C42—111no—
1031C2×C42—111no—
1032C2×C42—111no—
1033C2×C42—111no—
1034C2×C42—111no—
1035C2×C42—111no—
1036C2×C42—224no—
1037C2×C42—442no—
1038C2×C42—442no—
1039C2×C42C22×D1111yescharacteristic
1040C2×C42C22×D1111yescharacteristic
1041C2×C42C22×D1111yescharacteristic
1042C2×C42C22×D1111yescharacteristic
1043#95—111no—
1044#95—111no—
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95—111no—
1059#95—111no—
1060#95—111no—
1061#95—111no—
1062#95—111no—
1063#95—111no—
1064#95—111no—
1065#95—111no—
1066#95—111no—
1067#95—111no—
1068#95—111no—
1069#95—111no—
1070#95—111no—
1071#95—111no—
1072#95—111no—
1073#95C22×D1111yescharacteristic
1074#95C22×D1111yescharacteristic
1075#95C22×D1111yescharacteristic
1076#95C22×D1111yescharacteristic
1077#95C22×D1111yescharacteristic
1078#95C22×D1111yescharacteristic
1079#95C22×D1111yescharacteristic
1080#95C22×D1111yescharacteristic
1081#95C22×D1111yescharacteristic
1082#95C22×D1111yescharacteristic
1083#95C22×D1111yescharacteristic
1084#95C22×D1111yescharacteristic
1085#95C22×D1111yescharacteristic
1086#95C22×D1111yescharacteristic
1087#95C22×D1111yescharacteristic
1088#95C22×D1111yescharacteristic
1089#95C22×D1111yescharacteristic
1090#95C22×D1111yescharacteristic
1091C2×C11—42no—
1092C2×C11#344411yescharacteristic
1093C2×C11#344411yescharacteristic
1094C2×C11#346011yescharacteristic
1095C2×C11C2×#55111yescharacteristic
1096C2×C11#347511yescharacteristic
1097C2×C11#348011yescharacteristic
1098C2×C11#348111yescharacteristic
1099D11—42no—
1100D11—42no—
1101D11—81no—
1102C24—111no—
1103C24—111no—
1104C24—111no—
1105C24C23×D1111yescharacteristic
1106#41—4416no—
1107C2×Q8—22no—
1108C2×Q8—22no—
1109C2×Q8—41no—
1110C2×Q8—222no—
1111C2×Q8—222no—
1112C2×Q8—441no—
1113C2×D4—222no—
1114C2×D4—222no—
1115C2×D4—222no—
1116C2×D4—222no—
1117C2×D4—222no—
1118C2×D4—222no—
1119C2×D4—222no—
1120C2×D4—222no—
1121C2×D4—222no—
1122C2×D4—222no—
1123C2×D4—222no—
1124C2×D4—222no—
1125C2×D4—222no—
1126C2×D4—441no—
1127C2×D4—441no—
1128C2×D4—441no—
1129C2×D4—441no—
1130C2×D4—441no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—41no—
1134C22×C4—111no—
1135C22×C4—111no—
1136C22×C4—111no—
1137C22×C4—111no—
1138C22×C4—111no—
1139C22×C4—111no—
1140C22×C4—111no—
1141C22×C4—114no—
1142C22×C4—114no—
1143C22×C4—111no—
1144C22×C4—111no—
1145C22×C4—111no—
1146C22×C4—111no—
1147C22×C4—111no—
1148C22×C4—111no—
1149C22×C4—222no—
1150C22×C4—222no—
1151C22×C4—222no—
1152C22×C4—222no—
1153C22×C4—222no—
1154C22×C4—222no—
1155C22×C4—222no—
1156C22×C4—222no—
1157C22×C4—222no—
1158C22×C4—222no—
1159C22×C4—222no—
1160C22×C4—222no—
1161C22×C4—222no—
1162C22×C4—222no—
1163C22×C4—222no—
1164C22×C4—222no—
1165C22×C4—222no—
1166C22×C4—222no—
1167C22×C4—222no—
1168C22×C4—441no—
1169C22×C4—441no—
1170C22×C4—441no—
1171C22×C4—441no—
1172C22×C4—441no—
1173C22×C4—441no—
1174C22×C4C23×D1111yescharacteristic
1175C22×C4C23×D1111yescharacteristic
1176C22×C4C23×D1111yescharacteristic
1177C22×C4C23×D1111yescharacteristic
1178C22×C4C23×D1111yescharacteristic
1179C22×C4C23×D1111yescharacteristic
1180C22×C4C23×D1111yescharacteristic
1181C22×C4C23×D1111yescharacteristic
1182C22×C4C23×D1111yescharacteristic
1183C22×C4C23×D1111yescharacteristic
1184C22×C4C23×D1111yescharacteristic
1185C22×C4C23×D1111yescharacteristic
1186C22×C4C23×D1111yescharacteristic
1187C22×C4C23×D1111yescharacteristic
1188C4⋊C4—22no—
1189C4⋊C4—22no—
1190C4⋊C4—22no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—114no—
1194C4⋊C4—222no—
1195C4⋊C4—222no—
1196C4⋊C4—222no—
1197C4⋊C4—222no—
1198C4⋊C4—222no—
1199C4⋊C4—222no—
1200C4⋊C4—222no—
1201C4⋊C4—222no—
1202C4⋊C4—222no—
1203C4⋊C4—222no—
1204C4⋊C4—222no—
1205C4⋊C4—222no—
1206C4⋊C4—222no—
1207C4⋊C4—222no—
1208C4⋊C4—441no—
1209C4⋊C4—441no—
1210C4⋊C4—441no—
1211C4⋊C4—441no—
1212C4⋊C4—441no—
1213C4⋊C4—441no—
1214C22⋊C4—22no—
1215C22⋊C4—22no—
1216C22⋊C4—22no—
1217C22⋊C4—22no—
1218C22⋊C4—22no—
1219C22⋊C4—41no—
1220C22⋊C4—114no—
1221C22⋊C4—222no—
1222C22⋊C4—222no—
1223C22⋊C4—222no—
1224C22⋊C4—222no—
1225C22⋊C4—222no—
1226C22⋊C4—222no—
1227C22⋊C4—222no—
1228C22⋊C4—222no—
1229C22⋊C4—222no—
1230C22⋊C4—222no—
1231C22⋊C4—222no—
1232C22⋊C4—222no—
1233C22⋊C4—222no—
1234C22⋊C4—222no—
1235C22⋊C4—222no—
1236C22⋊C4—222no—
1237C22⋊C4—222no—
1238C22⋊C4—222no—
1239C22⋊C4—222no—
1240C22⋊C4—222no—
1241C22⋊C4—222no—
1242C22⋊C4—441no—
1243C22⋊C4—441no—
1244C22⋊C4—441no—
1245C22⋊C4—441no—
1246C22⋊C4—441no—
1247C22⋊C4—441no—
1248C22⋊C4—441no—
1249C22⋊C4—441no—
1250C22⋊C4—441no—
1251C22⋊C4—441no—
1252C42—22no—
1253C42—22no—
1254C42—22no—
1255C42—41no—
1256C42—114no—
1257C42—222no—
1258C42—222no—
1259C42—222no—
1260C42—222no—
1261C42—222no—
1262C42—222no—
1263C42—222no—
1264C42—222no—
1265C42—222no—
1266C42—222no—
1267C42—222no—
1268C42—222no—
1269C42—222no—
1270C42—222no—
1271C42—222no—
1272C42—441no—
1273C42—441no—
1274C42—441no—
1275C42—441no—
1276C42—441no—
1277C11#3486111yescharacteristic, complemented, Sylow
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—112no—
1285C23—112no—
1286C23—221no—
1287C23—221no—
1288C23—221no—
1289C23—221no—
1290C23—221no—
1291C23—221no—
1292C23—221no—
1293C23—221no—
1294C23—221no—
1295C23—221no—
1296C23—221no—
1297C23—221no—
1298C23—221no—
1299C23—221no—
1300C23—221no—
1301C23—221no—
1302C23—221no—
1303C23—221no—
1304C23—221no—
1305C23#41×D1112yes—
1306C23C24×D1111yescharacteristic
1307Q8—44no—
1308Q8—444no—
1309D4—228no—
1310D4—444no—
1311D4—444no—
1312D4—444no—
1313D4—444no—
1314D4—444no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—44no—
1354C2×C4—112no—
1355C2×C4—112no—
1356C2×C4—112no—
1357C2×C4—112no—
1358C2×C4—112no—
1359C2×C4—112no—
1360C2×C4—112no—
1361C2×C4—112no—
1362C2×C4—112no—
1363C2×C4—228no—
1364C2×C4—228no—
1365C2×C4—228no—
1366C2×C4—221no—
1367C2×C4—221no—
1368C2×C4—221no—
1369C2×C4—221no—
1370C2×C4—221no—
1371C2×C4—221no—
1372C2×C4—221no—
1373C2×C4—221no—
1374C2×C4—221no—
1375C2×C4—221no—
1376C2×C4—221no—
1377C2×C4—221no—
1378C2×C4—221no—
1379C2×C4—221no—
1380C2×C4—221no—
1381C2×C4—221no—
1382C2×C4—221no—
1383C2×C4—221no—
1384C2×C4—221no—
1385C2×C4—221no—
1386C2×C4—221no—
1387C2×C4—221no—
1388C2×C4—221no—
1389C2×C4—221no—
1390C2×C4—221no—
1391C2×C4—221no—
1392C2×C4—221no—
1393C2×C4—221no—
1394C2×C4—221no—
1395C2×C4—221no—
1396C2×C4—444no—
1397C2×C4—444no—
1398C2×C4—444no—
1399C2×C4—444no—
1400C2×C4—444no—
1401C2×C4—444no—
1402C2×C4#41×D1112yes—
1403C2×C4#41×D1112yes—
1404C2×C4#41×D1112yes—
1405C2×C4#41×D1112yes—
1406C22—22no—
1407C22—22no—
1408C22—22no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—41no—
1413C22—222no—
1414C22—222no—
1415C22—222no—
1416C22—222no—
1417C22—222no—
1418C22—222no—
1419C22—441no—
1420C22—441no—
1421C22—441no—
1422C22—441no—
1423C22—441no—
1424C22—441no—
1425C22—441no—
1426C22—441no—
1427C22—441no—
1428C22—441no—
1429C22—441no—
1430C22—441no—
1431C22—441no—
1432C22—441no—
1433C22—441no—
1434C22C2×#41×D1111yescharacteristic
1435C22C2×#41×D1111yescharacteristic
1436C22C2×#41×D1111yescharacteristic
1437C22C2×#41×D1111yescharacteristic
1438C22C2×#41×D1111yescharacteristic
1439C22D11×H(5,𝔽2)11yescharacteristic
1440C22#1062345711yescharacteristic
1441C4—22no—
1442C4—22no—
1443C4—22no—
1444C4—22no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C4—41no—
1449C4—41no—
1450C4—41no—
1451C4—41no—
1452C4—41no—
1453C4—41no—
1454C4—41no—
1455C4—114no—
1456C4—222no—
1457C4—222no—
1458C4—222no—
1459C4—222no—
1460C4—222no—
1461C4—222no—
1462C4—441no—
1463C4—441no—
1464C4—441no—
1465C4—441no—
1466C4—441no—
1467C4—441no—
1468C2—42no—
1469C2—442no—
1470C2—442no—
1471C2—881no—
1472C2#1308191011yescharacteristic
1473C2#1308191011yescharacteristic
1474C2#1308203611yescharacteristic
1475C2D11×#55111yescharacteristic
1476C2#1308216911yescharacteristic
1477C2#1308220811yescharacteristic
1478C2#1308221911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2527C2
prime radical#13071833C2
hypercenter#2527D11
hypocenterC11#34861
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2527

Complements

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

NH ≅ G/Ntype
1. #13074261C2semidirect
2. #13074241C2semidirect
3. #13074211C2semidirect
4. #13074180C2semidirect
5. #13074162C2semidirect
6. #13074062C2semidirect
7. #13073915C2semidirect
8. #13073710C2semidirect
9. #13073457C2semidirect
10. #13073301C2semidirect
11. #13073249C2semidirect
12. #13072819C2semidirect
13. #13072727C2semidirect
14. #13072580C2semidirect
15. #13072522C2semidirect
16. #13071919C2semidirect
17. #13071889C2semidirect
18. #13071878C2semidirect
20. #13071166C2semidirect
21. #13071157C2semidirect
22. #13071150C2semidirect
23. #13071143C2semidirect
24. #13071133C2semidirect
25. #13071108C2semidirect
26. #13071105C2semidirect
27. #13071105C2semidirect
28. #13071052C2semidirect
29. C4×(C22⋊D11)⋊C4C2semidirect
30. #13070955C2semidirect
31. C11×#2527C2semidirect
467. C22⋊Dic11#41semidirect
517. Dic11⋊C4#41semidirect
538. C4×Dic11#41semidirect
548. #2527D11semidirect
1277. C11#34861semidirect

Maximal subgroups

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

subgroupindex
#130742612
#130742412
#130742112
#130741802
#130741622
#130740622
#130739152
#130737102
#130734572
#130733012
#130732492
#130728192
#130727272
#130725802
#130725222
#130719192
#130718892
#130718782
#130718332
#130711662
#130711572
#130711502
#130711432
#130711332
#130711082
#130711052
#130710522
C4×(C22⋊D11)⋊C42
#130709552
C11×#25272
#3486111