Finite Group Databasebeta

← #14926589

Subgroups — #14926589

Order 2816.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076938C211yesmaximal, characteristic, complemented
2#13076929C211yesmaximal, characteristic, complemented
3#13076913C211yesmaximal, characteristic, complemented
4#13074677C211yesmaximal, characteristic, complemented
5#13074625C211yesmaximal, characteristic, complemented
6#13074608C211yesmaximal, characteristic, complemented
7#13074602C211yesmaximal, characteristic, complemented
8#13073273C211yesmaximal, characteristic, complemented
9#13073272C211yesmaximal, characteristic, complemented
10#13073175C211yesmaximal, characteristic, complemented
11#13073172C211yesmaximal, characteristic, complemented
12#13073122C211yesmaximal, characteristic, complemented
13#13072946C211yesmaximal, characteristic, complemented
14#13072860C211yesmaximal, characteristic, complemented
15#13072748C211yesmaximal, characteristic, complemented
16#13072673C211yesmaximal, characteristic, complemented
17#13072551C211yesmaximal, characteristic, complemented
18#13072362C211yesmaximal, characteristic, complemented
19#13072284C211yesmaximal, characteristic, complemented
20#13072171C211yesmaximal, characteristic, complemented
21#13072008C211yesmaximal, characteristic, complemented
22#13071987C211yesmaximal, characteristic
23#13071940C211yesmaximal, characteristic, complemented
24#13071350C211yesmaximal, characteristic, complemented
25#13071275C211yesmaximal, characteristic, complemented
26#13071246C211yesmaximal, characteristic, complemented
27#13071210C211yesmaximal, characteristic, complemented
28#13071121C211yesmaximal, characteristic, complemented
29D11×#386C211yesmaximal, characteristic, complemented
30C2×C4×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
31C11×#2854C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#123C2211yescharacteristic
35C2×C11×#123C2211yescharacteristic, complemented
36C2×C11×#121C2211yescharacteristic
37C22×C42×C11C2211yescharacteristic, complemented
38C2×#66992C2211yescharacteristic
39C2×#66990C2211yescharacteristic
40C2×#66990C2211yescharacteristic
41C2×D4×Dic11C2211yescharacteristic, complemented
42C2×#66982C2211yescharacteristic
43C22×(C2×D11)⋊C4C2211yescharacteristic
44C22×(C2×D11)⋊C4C2211yescharacteristic
45C22×C4×Dic11C2211yescharacteristic, complemented
46C2×#66949C2211yescharacteristic
47C2×#66938C2211yescharacteristic, complemented
48C2×(C22⋊D11)⋊C4C2211yescharacteristic
49C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
50C2×C22⋊C4×D11C2211yescharacteristic
51C2×C22⋊C4×D11C2211yescharacteristic
52C2×C22⋊C4×D11C2211yescharacteristic
53C2×#66932C2211yescharacteristic, complemented
54C2×#66931C2211yescharacteristic, complemented
55C11×#390C2211yescharacteristic, complemented
56C11×#390C2211yescharacteristic, complemented
57C11×#389C2211yescharacteristic, complemented
58C11×#389C2211yescharacteristic, complemented
59C11×#388C2211yescharacteristic, complemented
60C11×#388C2211yescharacteristic, complemented
61C11×#388C2211yescharacteristic, complemented
62C11×#388C2211yescharacteristic, complemented
63C11×#386C2211yescharacteristic
64C11×#386C2211yescharacteristic, complemented
65C11×#380C2211yescharacteristic, complemented
66#10622836C2211yescharacteristic
67#10622835C2211yescharacteristic, complemented
68#10622833C2211yescharacteristic
69#10622833C2211yescharacteristic
70#10622833C2211yescharacteristic
71#10622833C2211yescharacteristic, complemented
72#10622833C2211yescharacteristic, complemented
73#10622826C2211yescharacteristic
74#10622826C2211yescharacteristic
75#10622824C2211yescharacteristic, complemented
76#10622823C2211yescharacteristic, complemented
77#10622823C2211yescharacteristic, complemented
78C2×C11⋊#95C2211yescharacteristic, complemented
79C2×C11⋊#95C2211yescharacteristic, complemented
80#10622607C2211yescharacteristic, complemented
81#10622607C2211yescharacteristic, complemented
82#10622606C2211yescharacteristic, complemented
83#10622606C2211yescharacteristic, complemented
84#10622606C2211yescharacteristic, complemented
85#10622605C2211yescharacteristic, complemented
86#10622604C2211yescharacteristic
87#10622604C2211yescharacteristic
88#10622604C2211yescharacteristic
89#10622603C2211yescharacteristic, complemented
90#10622603C2211yescharacteristic, complemented
91#10622602C2211yescharacteristic
92#10622602C2211yescharacteristic
93#10622602C2211yescharacteristic
94#10622602C2211yescharacteristic
95#10622600C2211yescharacteristic
96#10622600C2211yescharacteristic
97#10622599C2211yescharacteristic, complemented
98#10622599C2211yescharacteristic, complemented
99#10622597C2211yescharacteristic, complemented
100#10622595C2211yescharacteristic, complemented
101#10622595C2211yescharacteristic, complemented
102#10622594C2211yescharacteristic, complemented
103#10622591C2211yescharacteristic, complemented
104#10622590C2211yescharacteristic, complemented
105#10622587C2211yescharacteristic, complemented
106#10622585C2211yescharacteristic, complemented
107#10622574C2211yescharacteristic, complemented
108#10622574C2211yescharacteristic, complemented
109#10622573C2211yescharacteristic
110#10622572C2211yescharacteristic
111#10622572C2211yescharacteristic
112#10622572C2211yescharacteristic
113#10622572C2211yescharacteristic, complemented
114#10622571C2211yescharacteristic
115#10622571C2211yescharacteristic
116#10622571C2211yescharacteristic, complemented
117#10622570C2211yescharacteristic, complemented
118#10622569C2211yescharacteristic
119#10622569C2211yescharacteristic
120#10622569C2211yescharacteristic
121#10622569C2211yescharacteristic
122#10622569C2211yescharacteristic
123#10622569C2211yescharacteristic
124#10622569C2211yescharacteristic, complemented
125#10622568C2211yescharacteristic
126#10622568C2211yescharacteristic
127#10622568C2211yescharacteristic
128#10622568C2211yescharacteristic
129#10622566C2211yescharacteristic, complemented
130#10622566C2211yescharacteristic, complemented
131#10622565C2211yescharacteristic, complemented
132#10622565C2211yescharacteristic, complemented
133#10622564C2211yescharacteristic, complemented
134#10622564C2211yescharacteristic, complemented
135#10622563C2211yescharacteristic, complemented
136#10622560C2211yescharacteristic, complemented
137#10622559C2211yescharacteristic, complemented
138#10622558C2211yescharacteristic, complemented
139#10622558C2211yescharacteristic, complemented
140#10622558C2211yescharacteristic, complemented
141#10622557C2211yescharacteristic, complemented
142#10622557C2211yescharacteristic, complemented
143#10622557C2211yescharacteristic, complemented
144#10622556C2211yescharacteristic, complemented
145#10622555C2211yescharacteristic, complemented
146C22⋊C4×Dic11C2211yescharacteristic, complemented
147#10622553C2211yescharacteristic, complemented
148#10622553C2211yescharacteristic, complemented
149#10622553C2211yescharacteristic, complemented
150#10622553C2211yescharacteristic, complemented
151C4×(C2×D11)⋊C4C2211yescharacteristic
152C4×(C2×D11)⋊C4C2211yescharacteristic
153C4×(C2×D11)⋊C4C2211yescharacteristic
154C4×(C2×D11)⋊C4C2211yescharacteristic
155C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
156C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
157C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
159#10622546C2211yescharacteristic, complemented
160#10622546C2211yescharacteristic, complemented
161#10622546C2211yescharacteristic, complemented
162#10622546C2211yescharacteristic, complemented
163#10622289C2211yescharacteristic, complemented
164#10622287C2211yescharacteristic, complemented
165#10622286C2211yescharacteristic, complemented
166#10622283C2211yescharacteristic, complemented
167#10622283C2211yescharacteristic, complemented
168#10622282C2211yescharacteristic, complemented
169#10622281C2211yescharacteristic
170#10622281C2211yescharacteristic
171#10622281C2211yescharacteristic, complemented
172#10622280C2211yescharacteristic
173#10622279C2211yescharacteristic
174#10622279C2211yescharacteristic, complemented
175#10622278C2211yescharacteristic
176#10622278C2211yescharacteristic
177D11×#95C2211yescharacteristic
178D11×#95C2211yescharacteristic
179C11⋊#401C2211yescharacteristic, complemented
180#10622268C2211yescharacteristic, complemented
181#10622266C2211yescharacteristic, complemented
182#10622265C2211yescharacteristic, complemented
183#10622264C2211yescharacteristic, complemented
184#10622264C2211yescharacteristic, complemented
185#10622263C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C24×D11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C2×D4×D11—24no—
205C2×D4×D11—42no—
206C2×D4×D11—42no—
207C22×D44C2311yescharacteristic
208C22×C4×D11—24no—
209C22×C4×D11—42no—
210C22×C4×D11—42no—
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×Dic22C2311yescharacteristic
219C11×#123—42no—
220C11×#123—42no—
221C11×#121—42no—
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C42×C11—42no—
242C2×C42×C11C2311yescharacteristic
243C2×C42×C11C2311yescharacteristic
244C2×C42×C11C2311yescharacteristic
245C2×C42×C11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259#66992—42no—
260#66990—24no—
261#66990—24no—
262D4×Dic11—42no—
263#66982—42no—
264C2×(C2×D11)⋊C4—24no—
265C2×(C2×D11)⋊C4—24no—
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×C4×Dic11—42no—
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316#66949—24no—
317#66938—42no—
318(C22⋊D11)⋊C4—24no—
319(C22⋊D11)⋊C4—42no—
320C22⋊C4×D11—24no—
321C22⋊C4×D11—42no—
322C22⋊C4×D11—42no—
323#66932—42no—
324#66931—42no—
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
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369#34998—111nomaximal, Sylow
370C24×C11C2411yescharacteristic
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C23×D11—22no—
374C23×D11—22no—
375C23×D11—22no—
376C23×D11—22no—
377C23×D11—22no—
378C23×D11—22no—
379C23×D11—22no—
380C23×D11—41no—
381C23×D11—41no—
382C23×D11—41no—
383C23×D11—41no—
384C23×D11—41no—
385C23×D11—41no—
386C23×D11#4114yes—
387C23×D11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C23×D11C2411yescharacteristic
390C2×D4×C11—22no—
391C2×D4×C11—22no—
392C2×D4×C11—22no—
393C2×D4×C11—22no—
394C2×D4×C11—22no—
395C2×D4×C11—22no—
396C2×D4×C11—22no—
397C2×D4×C11—41no—
398C2×D4×C11—41no—
399C22×C4×C11—22no—
400C22×C4×C11—22no—
401C22×C4×C11—22no—
402C22×C4×C11—22no—
403C22×C4×C11—22no—
404C22×C4×C11—22no—
405C22×C4×C11—22no—
406C22×C4×C11—22no—
407C22×C4×C11—41no—
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C2×C22⋊D11—22no—
421C2×C22⋊D11—22no—
422C2×C22⋊D11—22no—
423C2×C22⋊D11—22no—
424C2×C22⋊D11—22no—
425C2×C22⋊D11—22no—
426C2×C22⋊D11—22no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11—22no—
429C2×C22⋊D11—41no—
430C2×C22⋊D11—41no—
431C2×C22⋊D11—41no—
432C2×C22⋊D11—41no—
433C2×C22⋊D11—41no—
434C2×C22⋊D11—41no—
435C22×Dic11—22no—
436C22×Dic11—22no—
437C22×Dic11—22no—
438C22×Dic11—22no—
439C22×Dic11—22no—
440C22×Dic11—22no—
441C22×Dic11—41no—
442C22×Dic11—41no—
443C22×Dic11—41no—
444C22×Dic11—41no—
445C22×Dic11—41no—
446C22×Dic11—41no—
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460D4×D11—416no—
461C2×D44—22no—
462C2×D44—41no—
463C2×D44—41no—
464C2×C4×D11—22no—
465C2×C4×D11—22no—
466C2×C4×D11—22no—
467C2×C4×D11—22no—
468C2×C4×D11—22no—
469C2×C4×D11—22no—
470C2×C4×D11—22no—
471C2×C4×D11—22no—
472C2×C4×D11—41no—
473C2×C4×D11—41no—
474C2×C4×D11—41no—
475C2×C4×D11—41no—
476C2×C4×D11—41no—
477C2×C4×D11—41no—
478C2×C4×D11—41no—
479C2×C4×D11—41no—
480C2×C4×D11—41no—
481C2×C4×D11—41no—
482C2×C4×D11—41no—
483C2×C4×D11—41no—
484C2×C4×D11—416no—
485C2×C4×D11#4114yes—
486C2×Dic22—22no—
487C2×Dic22—41no—
488C2×Dic22—41no—
489C11×C4⋊C4—22no—
490C11×C4⋊C4—41no—
491C11×C4⋊C4—41no—
492C11×C4⋊C4—41no—
493C11×C4⋊C4—41no—
494C11×C4⋊C4—41no—
495C11×C4⋊C4—41no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—22no—
499C11×C22⋊C4—22no—
500C11×C22⋊C4—22no—
501C11×C22⋊C4—22no—
502C11×C22⋊C4—41no—
503C11×C22⋊C4—41no—
504C11×C22⋊C4—41no—
505C11×C22⋊C4—41no—
506C11×C22⋊C4—41no—
507C11×C22⋊C4—41no—
508C42×C11—41no—
509C42×C11—41no—
510C42×C11—41no—
511C42×C11—41no—
512C22⋊Dic11—22no—
513C22⋊Dic11—22no—
514C22⋊Dic11—22no—
515C22⋊Dic11—22no—
516C22⋊Dic11—22no—
517C22⋊Dic11—41no—
518C22⋊Dic11—41no—
519C22⋊Dic11—41no—
520C22⋊Dic11—41no—
521C22⋊Dic11—41no—
522C22⋊Dic11—41no—
523C22⋊Dic11—41no—
524C22⋊Dic11—41no—
525(C2×D11)⋊C4—22no—
526(C2×D11)⋊C4—22no—
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—22no—
532(C2×D11)⋊C4—22no—
533(C2×D11)⋊C4—22no—
534(C2×D11)⋊C4—22no—
535(C2×D11)⋊C4—22no—
536(C2×D11)⋊C4—22no—
537(C2×D11)⋊C4—22no—
538(C2×D11)⋊C4—22no—
539(C2×D11)⋊C4—22no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4—41no—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4—41no—
546(C2×D11)⋊C4—41no—
547(C2×D11)⋊C4—41no—
548(C2×D11)⋊C4—41no—
549(C2×D11)⋊C4—41no—
550(C2×D11)⋊C4—41no—
551(C2×D11)⋊C4#4114yes—
552C4⋊Dic11—41no—
553C4⋊Dic11—41no—
554C4⋊Dic11—41no—
555C4⋊Dic11—41no—
556Dic11⋊C4—22no—
557Dic11⋊C4—22no—
558Dic11⋊C4—22no—
559Dic11⋊C4—22no—
560Dic11⋊C4—41no—
561Dic11⋊C4—41no—
562Dic11⋊C4—41no—
563Dic11⋊C4—41no—
564Dic11⋊C4—41no—
565Dic11⋊C4—41no—
566Dic11⋊C4—41no—
567C4×Dic11—22no—
568C4×Dic11—22no—
569C4×Dic11—22no—
570C4×Dic11—41no—
571C4×Dic11—41no—
572C4×Dic11—41no—
573C4×Dic11—41no—
574#2854D1111yescharacteristic, complemented
575#2853—111no—
576#2852—111no—
577#2850—111no—
578#2653—111no—
579#2649—111no—
580#2648—111no—
581#2648—111no—
582#2518—111no—
583#2518—111no—
584#2510—111no—
585#2510—111no—
586#2505—111no—
587#2488—111no—
588#2480—111no—
589#2472—111no—
590#2467—111no—
591#2459—111no—
592#2444—111no—
593#2437—111no—
594#2425—111no—
595#2412—111no—
596#2410—111no—
597#2405—111no—
598#2329—111no—
599#2321—111no—
600#2318—111no—
601#2312—111no—
602C4×#120—111no—
603C2×#386—111no—
604C2×C4×C22⋊C4—111no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11C2×#4112yes—
624C23×C11H(5,𝔽2)12yes—
625C23×C11H(5,𝔽2)12yes—
626C23×C11C2511yescharacteristic
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—28no—
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—28no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—44no—
647C22×D11—44no—
648C22×D11—44no—
649C22×D11—44no—
650C22×D11—44no—
651C22×D11—44no—
652C22×D11—44no—
653C22×D11—44no—
654C22×D11—82no—
655C22×D11—82no—
656C22×D11—82no—
657C22×D11—82no—
658C22×D11C2×#4112yes—
659C22×D11C2×#4112yes—
660C22×D11C2×#4112yes—
661C22×D11C2×#4112yes—
662D4×C11—44no—
663D4×C11—44no—
664D4×C11—82no—
665C2×C4×C11—28no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—44no—
700C2×C4×C11—44no—
701C2×C4×C11C2×#4112yes—
702C2×C4×C11C2×#4112yes—
703C2×C4×C11H(5,𝔽2)12yes—
704C22⋊D11—44no—
705C22⋊D11—44no—
706C22⋊D11—44no—
707C22⋊D11—44no—
708C22⋊D11—82no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—44no—
747C2×Dic11—44no—
748C2×Dic11—44no—
749C2×Dic11—82no—
750C2×Dic11C2×#4112yes—
751C2×Dic11C2×#4112yes—
752D44—44no—
753C4×D11—44no—
754C4×D11—44no—
755C4×D11—44no—
756C4×D11—44no—
757C4×D11—44no—
758C4×D11—82no—
759C4×D11—82no—
760Dic22—82no—
761C23×D4—111no—
762C24×C4—111no—
763C2×#126—111no—
764C2×#124—111no—
765C2×#123—111no—
766C2×#123C2×D1111yescharacteristic
767C2×#123C2×D1111yescharacteristic, complemented
768C2×C22⋊Q8—111no—
769C2×C22⋊Q8—111no—
770C2×#121—111no—
771C2×#121C2×D1111yescharacteristic
772C2×#120—111no—
773C2×#120—111no—
774C2×C4×D4—111no—
775C2×C4×D4—111no—
776C2×C4×D4—111no—
777C22×C22⋊C4—111no—
778C22×C22⋊C4—111no—
779C22×C22⋊C4—111no—
780C22×C22⋊C4—111no—
781C22×C22⋊C4—111no—
782C22×C42—111no—
783C22×C42C2×D1111yescharacteristic, complemented
784#401—111no—
785#400—111no—
786#400—111no—
787#400—111no—
788#400—111no—
789#399—111no—
790#398—111no—
791#397—111no—
792#397—111no—
793#397—111no—
794#397—111no—
795#397—111no—
796#397—111no—
797#397—111no—
798#397—111no—
799#396—111no—
800#396—111no—
801#396—111no—
802#394—111no—
803#394—111no—
804#394—111no—
805#394—111no—
806#394—111no—
807#394—111no—
808#394—111no—
809#394—111no—
810#394—111no—
811#394—111no—
812#393—111no—
813#393—111no—
814#392—111no—
815#392—111no—
816#391—111no—
817#391—111no—
818#390—111no—
819#390C2×D1111yescharacteristic, complemented
820#390C2×D1111yescharacteristic, complemented
821#389—111no—
822#389C2×D1111yescharacteristic, complemented
823#389C2×D1111yescharacteristic, complemented
824#388—111no—
825#388—111no—
826#388—111no—
827#388—111no—
828#388—111no—
829#388—111no—
830#388—111no—
831#388—111no—
832#388—111no—
833#388—111no—
834#388—111no—
835#388—111no—
836#388—111no—
837#388—111no—
838#388—111no—
839#388—111no—
840#388—111no—
841#388C2×D1111yescharacteristic, complemented
842#388C2×D1111yescharacteristic, complemented
843#388C2×D1111yescharacteristic, complemented
844#388C2×D1111yescharacteristic, complemented
845#387—111no—
846#387—111no—
847#387—111no—
848#387—111no—
849#387—111no—
850#387—111no—
851#387—111no—
852#387—111no—
853#387—111no—
854#386—111no—
855#386—111no—
856#386—111no—
857#386—111no—
858#386—111no—
859#386—111no—
860#386—111no—
861#386—111no—
862#386—111no—
863#386—111no—
864#386—111no—
865#386—111no—
866#386—111no—
867#386—111no—
868#386—111no—
869#386—111no—
870#386—111no—
871#386—111no—
872#386—111no—
873#386C2×D1111yescharacteristic
874#386C2×D1111yescharacteristic, complemented
875#385—111no—
876#385—111no—
877#385—111no—
878#385—111no—
879#385—111no—
880#385—111no—
881#385—111no—
882#385—111no—
883#385—111no—
884#385—111no—
885#385—111no—
886#383—111no—
887#383—111no—
888#382—111no—
889#382—111no—
890#381—111no—
891#381—111no—
892#380—111no—
893#380—111no—
894#380—111no—
895#380—111no—
896#380C2×D1111yescharacteristic, complemented
897#379—111no—
898#379—111no—
899#379—111no—
900#379—111no—
901C4×C22⋊C4—111no—
902C4×C22⋊C4—111no—
903C4×C22⋊C4—111no—
904C4×C22⋊C4—111no—
905C4×C22⋊C4—111no—
906C4×C22⋊C4—111no—
907C4×C22⋊C4—111no—
908C4×C22⋊C4—111no—
909C4×C22⋊C4—111no—
910C4×C22⋊C4—111no—
911C4×C22⋊C4—111no—
912C2×#95—111no—
913C2×#95—111no—
914C2×#95—111no—
915C2×#95—111no—
916C22×C11—22no—
917C22×C11—22no—
918C22×C11—22no—
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—22no—
922C22×C11—41no—
923C22×C11—41no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11—41no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11—41no—
936C22×C11#53814yes—
937C22×C11C22×#4111yescharacteristic
938C22×C11C22×#4111yescharacteristic
939C22×C11C22×#4111yescharacteristic
940C22×C11C2×H(5,𝔽2)11yescharacteristic
941C22×C11C2×H(5,𝔽2)11yescharacteristic
942C22×C11C2×H(5,𝔽2)11yescharacteristic
943C22×C11#58511yescharacteristic
944C2×D11—22no—
945C2×D11—22no—
946C2×D11—22no—
947C2×D11—22no—
948C2×D11—22no—
949C2×D11—22no—
950C2×D11—22no—
951C2×D11—22no—
952C2×D11—22no—
953C2×D11—416no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—41no—
958C2×D11—41no—
959C2×D11—41no—
960C2×D11—41no—
961C2×D11—41no—
962C2×D11—41no—
963C2×D11—41no—
964C2×D11—41no—
965C2×D11—88no—
966C2×D11#52914yes—
967C4×C11—22no—
968C4×C11—22no—
969C4×C11—22no—
970C4×C11—41no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974C4×C11—41no—
975C4×C11—41no—
976C4×C11—41no—
977C4×C11—41no—
978C4×C11—41no—
979Dic11—22no—
980Dic11—22no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988Dic11—41no—
989Dic11—41no—
990Dic11—41no—
991Dic11—41no—
992C25—111no—
993C25—111no—
994C22×Q8—111no—
995C22×D4—111no—
996C22×D4—111no—
997C22×D4—111no—
998C22×D4—111no—
999C22×D4—111no—
1000C22×D4—111no—
1001C22×D4—224no—
1002C22×D4—442no—
1003C22×D4—442no—
1004C22×D4C22×D1111yescharacteristic
1005C22×D4C22×D1111yescharacteristic
1006C22×D4C22×D1111yescharacteristic
1007C23×C4—111no—
1008C23×C4—111no—
1009C23×C4—111no—
1010C23×C4—111no—
1011C23×C4—111no—
1012C23×C4—111no—
1013C23×C4—111no—
1014C23×C4—111no—
1015C23×C4—111no—
1016C23×C4—111no—
1017C23×C4—111no—
1018C23×C4—224no—
1019C23×C4—442no—
1020C23×C4—442no—
1021C23×C4C22×D1111yescharacteristic
1022C23×C4C22×D1111yescharacteristic
1023C23×C4C22×D1111yescharacteristic
1024#126—442no—
1025#124—442no—
1026#123—42no—
1027#123—42no—
1028#123—442no—
1029C22⋊Q8—224no—
1030C22⋊Q8—442no—
1031#121—42no—
1032#121—442no—
1033#120—224no—
1034#120—224no—
1035C4×D4—224no—
1036C4×D4—442no—
1037C4×D4—442no—
1038C2×C4⋊C4—111no—
1039C2×C4⋊C4—111no—
1040C2×C4⋊C4—111no—
1041C2×C4⋊C4—111no—
1042C2×C4⋊C4—111no—
1043C2×C4⋊C4—111no—
1044C2×C4⋊C4—111no—
1045C2×C4⋊C4—111no—
1046C2×C4⋊C4—111no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—111no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4C22×D1111yescharacteristic
1054C2×C4⋊C4C22×D1111yescharacteristic
1055C2×C4⋊C4C22×D1111yescharacteristic
1056C2×C4⋊C4C22×D1111yescharacteristic
1057C2×C4⋊C4C22×D1111yescharacteristic
1058C2×C4⋊C4C22×D1111yescharacteristic
1059C2×C4⋊C4C22×D1111yescharacteristic
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—224no—
1101C2×C22⋊C4—224no—
1102C2×C22⋊C4—224no—
1103C2×C22⋊C4—442no—
1104C2×C22⋊C4—442no—
1105C2×C22⋊C4C22×D1111yescharacteristic
1106C2×C22⋊C4C22×D1111yescharacteristic
1107C2×C22⋊C4C22×D1111yescharacteristic
1108C2×C22⋊C4C22×D1111yescharacteristic
1109C2×C22⋊C4C22×D1111yescharacteristic
1110C2×C22⋊C4C22×D1111yescharacteristic
1111C2×C22⋊C4C22×D1111yescharacteristic
1112C2×C22⋊C4C22×D1111yescharacteristic
1113C2×C22⋊C4C22×D1111yescharacteristic
1114C2×C22⋊C4C22×D1111yescharacteristic
1115C2×C22⋊C4C22×D1111yescharacteristic
1116C2×C22⋊C4C22×D1111yescharacteristic
1117C2×C42—42no—
1118C2×C42—111no—
1119C2×C42—111no—
1120C2×C42—111no—
1121C2×C42—111no—
1122C2×C42—111no—
1123C2×C42—111no—
1124C2×C42—111no—
1125C2×C42—442no—
1126C2×C42C22×D1111yescharacteristic
1127C2×C42C22×D1111yescharacteristic
1128C2×C42C22×D1111yescharacteristic
1129C2×C42C22×D1111yescharacteristic
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95—111no—
1140#95—111no—
1141#95—111no—
1142#95—111no—
1143#95—111no—
1144#95—111no—
1145#95—111no—
1146#95—111no—
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95—111no—
1167#95—111no—
1168#95C22×D1111yescharacteristic
1169#95C22×D1111yescharacteristic
1170#95C22×D1111yescharacteristic
1171#95C22×D1111yescharacteristic
1172#95C22×D1111yescharacteristic
1173#95C22×D1111yescharacteristic
1174C2×C11—24no—
1175C2×C11—81no—
1176C2×C11—81no—
1177C2×C11C2×#52911yescharacteristic
1178C2×C11C2×#53811yescharacteristic
1179C2×C11#345911yescharacteristic
1180C2×C11#349011yescharacteristic
1181C2×C11#349411yescharacteristic
1182C2×C11#351311yescharacteristic
1183C2×C11#351911yescharacteristic
1184D11—24no—
1185D11—42no—
1186D11—81no—
1187C24—111no—
1188C24—111no—
1189C24—114no—
1190C24—111no—
1191C24—222no—
1192C24—222no—
1193C24—222no—
1194C24—222no—
1195C24—222no—
1196C24—222no—
1197C24—222no—
1198C24—441no—
1199C24—441no—
1200C24—441no—
1201C24—441no—
1202C24—441no—
1203C24—441no—
1204C24C23×D1111yescharacteristic
1205C24C23×D1111yescharacteristic
1206C24C23×D1111yescharacteristic
1207C2×Q8—222no—
1208C2×Q8—441no—
1209C2×Q8—441no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—222no—
1220C2×D4—222no—
1221C2×D4—222no—
1222C2×D4—222no—
1223C2×D4—222no—
1224C2×D4—222no—
1225C2×D4—222no—
1226C2×D4—222no—
1227C2×D4—222no—
1228C2×D4—222no—
1229C2×D4—441no—
1230C2×D4—441no—
1231C2×D4—441no—
1232C2×D4—441no—
1233C2×D4—441no—
1234C2×D4—441no—
1235C2×D4—441no—
1236C2×D4—441no—
1237C2×D4—4416no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—41no—
1247C22×C4—111no—
1248C22×C4—111no—
1249C22×C4—114no—
1250C22×C4—111no—
1251C22×C4—111no—
1252C22×C4—111no—
1253C22×C4—111no—
1254C22×C4—111no—
1255C22×C4—111no—
1256C22×C4—111no—
1257C22×C4—111no—
1258C22×C4—111no—
1259C22×C4—111no—
1260C22×C4—111no—
1261C22×C4—222no—
1262C22×C4—222no—
1263C22×C4—222no—
1264C22×C4—222no—
1265C22×C4—222no—
1266C22×C4—222no—
1267C22×C4—222no—
1268C22×C4—222no—
1269C22×C4—222no—
1270C22×C4—222no—
1271C22×C4—222no—
1272C22×C4—222no—
1273C22×C4—222no—
1274C22×C4—222no—
1275C22×C4—441no—
1276C22×C4—441no—
1277C22×C4—441no—
1278C22×C4—441no—
1279C22×C4—441no—
1280C22×C4—441no—
1281C22×C4—441no—
1282C22×C4—441no—
1283C22×C4—441no—
1284C22×C4—441no—
1285C22×C4—441no—
1286C22×C4—441no—
1287C22×C4—4416no—
1288C22×C4—441no—
1289C22×C4—441no—
1290C22×C4—441no—
1291C22×C4—441no—
1292C22×C4—441no—
1293C22×C4—441no—
1294C22×C4C23×D1111yescharacteristic
1295C22×C4C23×D1111yescharacteristic
1296C22×C4C23×D1111yescharacteristic
1297C22×C4C23×D1111yescharacteristic
1298C22×C4C23×D1111yescharacteristic
1299C22×C4C23×D1111yescharacteristic
1300C22×C4C23×D1111yescharacteristic
1301C22×C4C23×D1111yescharacteristic
1302C22×C4C23×D1111yescharacteristic
1303C22×C4C23×D1111yescharacteristic
1304C22×C4C23×D1111yescharacteristic
1305C22×C4C23×D1111yescharacteristic
1306C4⋊C4—22no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—222no—
1314C4⋊C4—222no—
1315C4⋊C4—222no—
1316C4⋊C4—222no—
1317C4⋊C4—441no—
1318C4⋊C4—441no—
1319C4⋊C4—441no—
1320C4⋊C4—441no—
1321C4⋊C4—441no—
1322C4⋊C4—441no—
1323C4⋊C4—441no—
1324C4⋊C4—441no—
1325C4⋊C4—441no—
1326C4⋊C4—441no—
1327C4⋊C4—441no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—114no—
1341C22⋊C4—222no—
1342C22⋊C4—222no—
1343C22⋊C4—222no—
1344C22⋊C4—222no—
1345C22⋊C4—222no—
1346C22⋊C4—222no—
1347C22⋊C4—222no—
1348C22⋊C4—222no—
1349C22⋊C4—222no—
1350C22⋊C4—222no—
1351C22⋊C4—222no—
1352C22⋊C4—222no—
1353C22⋊C4—222no—
1354C22⋊C4—222no—
1355C22⋊C4—222no—
1356C22⋊C4—222no—
1357C22⋊C4—222no—
1358C22⋊C4—222no—
1359C22⋊C4—222no—
1360C22⋊C4—222no—
1361C22⋊C4—441no—
1362C22⋊C4—441no—
1363C22⋊C4—441no—
1364C22⋊C4—441no—
1365C22⋊C4—441no—
1366C22⋊C4—441no—
1367C22⋊C4—441no—
1368C22⋊C4—441no—
1369C22⋊C4—441no—
1370C22⋊C4—441no—
1371C22⋊C4—441no—
1372C22⋊C4—441no—
1373C22⋊C4—441no—
1374C22⋊C4—441no—
1375C22⋊C4—441no—
1376C22⋊C4—441no—
1377C22⋊C4—441no—
1378C22⋊C4—441no—
1379C22⋊C4—441no—
1380C42—41no—
1381C42—41no—
1382C42—41no—
1383C42—41no—
1384C42—222no—
1385C42—222no—
1386C42—222no—
1387C42—441no—
1388C42—441no—
1389C42—441no—
1390C42—441no—
1391C11#3499811yescharacteristic, complemented, Sylow
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—112no—
1411C23—112no—
1412C23—112no—
1413C23—112no—
1414C23—228no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—221no—
1419C23—228no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23—221no—
1426C23—221no—
1427C23—221no—
1428C23—221no—
1429C23—221no—
1430C23—221no—
1431C23—221no—
1432C23—221no—
1433C23—444no—
1434C23—444no—
1435C23—444no—
1436C23—444no—
1437C23—444no—
1438C23—444no—
1439C23—444no—
1440C23—444no—
1441C23—882no—
1442C23—882no—
1443C23—882no—
1444C23—882no—
1445C23#6703712yes—
1446C23#6703712yes—
1447C23#41×D1112yes—
1448C23C24×D1111yescharacteristic
1449Q8—882no—
1450D4—44no—
1451D4—44no—
1452D4—82no—
1453D4—444no—
1454D4—444no—
1455D4—444no—
1456D4—444no—
1457D4—444no—
1458D4—882no—
1459C2×C4—28no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—112no—
1496C2×C4—112no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—221no—
1526C2×C4—221no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—221no—
1530C2×C4—221no—
1531C2×C4—221no—
1532C2×C4—221no—
1533C2×C4—221no—
1534C2×C4—444no—
1535C2×C4—444no—
1536C2×C4—444no—
1537C2×C4—444no—
1538C2×C4—444no—
1539C2×C4—444no—
1540C2×C4—444no—
1541C2×C4—444no—
1542C2×C4—882no—
1543C2×C4—882no—
1544C2×C4—882no—
1545C2×C4#41×D1112yes—
1546C2×C4#41×D1112yes—
1547C2×C4#6704212yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—114no—
1569C22—222no—
1570C22—222no—
1571C22—222no—
1572C22—222no—
1573C22—222no—
1574C22—222no—
1575C22—222no—
1576C22—222no—
1577C22—222no—
1578C22—4416no—
1579C22—441no—
1580C22—441no—
1581C22—441no—
1582C22—441no—
1583C22—441no—
1584C22—441no—
1585C22—441no—
1586C22—441no—
1587C22—441no—
1588C22—441no—
1589C22—441no—
1590C22—888no—
1591C22#1062314414yes—
1592C22C2×#6703711yescharacteristic
1593C22C2×#6703711yescharacteristic
1594C22C2×#41×D1111yescharacteristic
1595C22C2×#41×D1111yescharacteristic
1596C22C2×#41×D1111yescharacteristic
1597C22C2×#6704211yescharacteristic
1598C22#1062345311yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—222no—
1612C4—222no—
1613C4—441no—
1614C4—441no—
1615C4—441no—
1616C4—441no—
1617C4—441no—
1618C4—441no—
1619C4—441no—
1620C4—441no—
1621C4—441no—
1622C4—441no—
1623C4—441no—
1624C2—24no—
1625C2—81no—
1626C2—81no—
1627C2—224no—
1628C2—442no—
1629C2—881no—
1630C2D11×#52911yescharacteristic
1631C2C2×#1062314411yescharacteristic
1632C2#1308202611yescharacteristic
1633C2#1308229911yescharacteristic
1634C2#1308234611yescharacteristic
1635C2#1308254811yescharacteristic
1636C2#1308264311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2854C2
prime radical#13071987C2
hypercenter#2854D11
hypocenterC11#34998
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2854

Complements

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

NH ≅ G/Ntype
1. #13076938C2semidirect
2. #13076929C2semidirect
3. #13076913C2semidirect
4. #13074677C2semidirect
5. #13074625C2semidirect
6. #13074608C2semidirect
7. #13074602C2semidirect
8. #13073273C2semidirect
9. #13073272C2semidirect
10. #13073175C2semidirect
11. #13073172C2semidirect
12. #13073122C2semidirect
13. #13072946C2semidirect
14. #13072860C2semidirect
15. #13072748C2semidirect
16. #13072673C2semidirect
17. #13072551C2semidirect
18. #13072362C2semidirect
19. #13072284C2semidirect
20. #13072171C2semidirect
21. #13072008C2semidirect
23. #13071940C2semidirect
24. #13071350C2semidirect
25. #13071275C2semidirect
26. #13071246C2semidirect
27. #13071210C2semidirect
28. #13071121C2semidirect
29. D11×#386C2semidirect
30. C2×C4×(C2×D11)⋊C4C2semidirect
31. C11×#2854C2semidirect
35. C2×C11×#123C22semidirect
37. C22×C42×C11C22semidirect
41. C2×D4×Dic11C22semidirect
45. C22×C4×Dic11C22semidirect
47. C2×#66938C22semidirect
49. C2×(C22⋊D11)⋊C4C22semidirect
53. C2×#66932C22semidirect
54. C2×#66931C22semidirect
55. C11×#390C22semidirect
56. C11×#390C22semidirect
57. C11×#389C22semidirect
58. C11×#389C22semidirect
59. C11×#388C22semidirect
60. C11×#388C22semidirect
61. C11×#388C22semidirect
62. C11×#388C22semidirect
64. C11×#386C22semidirect
65. C11×#380C22semidirect
67. #10622835C22semidirect
71. #10622833C22semidirect
72. #10622833C22semidirect
75. #10622824C22semidirect
76. #10622823C22semidirect
77. #10622823C22semidirect
78. C2×C11⋊#95C22semidirect
79. C2×C11⋊#95C22semidirect
80. #10622607C22semidirect
81. #10622607C22semidirect
82. #10622606C22semidirect
83. #10622606C22semidirect
84. #10622606C22semidirect
85. #10622605C22semidirect
89. #10622603C22semidirect
90. #10622603C22semidirect
97. #10622599C22semidirect
98. #10622599C22semidirect
99. #10622597C22semidirect
100. #10622595C22semidirect
101. #10622595C22semidirect
102. #10622594C22semidirect
103. #10622591C22semidirect
104. #10622590C22semidirect
105. #10622587C22semidirect
106. #10622585C22semidirect
107. #10622574C22semidirect
108. #10622574C22semidirect
113. #10622572C22semidirect
116. #10622571C22semidirect
117. #10622570C22semidirect
124. #10622569C22semidirect
129. #10622566C22semidirect
130. #10622566C22semidirect
131. #10622565C22semidirect
132. #10622565C22semidirect
133. #10622564C22semidirect
134. #10622564C22semidirect
135. #10622563C22semidirect
136. #10622560C22semidirect
137. #10622559C22semidirect
138. #10622558C22semidirect
139. #10622558C22semidirect
140. #10622558C22semidirect
141. #10622557C22semidirect
142. #10622557C22semidirect
143. #10622557C22semidirect
144. #10622556C22semidirect
145. #10622555C22semidirect
146. C22⋊C4×Dic11C22semidirect
147. #10622553C22semidirect
148. #10622553C22semidirect
149. #10622553C22semidirect
150. #10622553C22semidirect
155. C4×(C2×D11)⋊C4C22semidirect
156. C4×(C2×D11)⋊C4C22semidirect
157. C4×(C2×D11)⋊C4C22semidirect
158. C4×(C2×D11)⋊C4C22semidirect
159. #10622546C22semidirect
160. #10622546C22semidirect
161. #10622546C22semidirect
162. #10622546C22semidirect
163. #10622289C22semidirect
164. #10622287C22semidirect
165. #10622286C22semidirect
166. #10622283C22semidirect
167. #10622283C22semidirect
168. #10622282C22semidirect
171. #10622281C22semidirect
174. #10622279C22semidirect
179. C11⋊#401C22semidirect
180. #10622268C22semidirect
181. #10622266C22semidirect
182. #10622265C22semidirect
183. #10622264C22semidirect
184. #10622264C22semidirect
185. #10622263C22semidirect
186. #10622259C22semidirect
574. #2854D11semidirect
767. C2×#123C2×D11semidirect
783. C22×C42C2×D11semidirect
819. #390C2×D11semidirect
820. #390C2×D11semidirect
822. #389C2×D11semidirect
823. #389C2×D11semidirect
841. #388C2×D11semidirect
842. #388C2×D11semidirect
843. #388C2×D11semidirect
844. #388C2×D11semidirect
874. #386C2×D11semidirect
896. #380C2×D11semidirect
1391. C11#34998semidirect

Maximal subgroups

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

subgroupindex
#130769382
#130769292
#130769132
#130746772
#130746252
#130746082
#130746022
#130732732
#130732722
#130731752
#130731722
#130731222
#130729462
#130728602
#130727482
#130726732
#130725512
#130723622
#130722842
#130721712
#130720082
#130719872
#130719402
#130713502
#130712752
#130712462
#130712102
#130711212
D11×#3862
C2×C4×(C2×D11)⋊C42
C11×#28542
#3499811