Finite Group Databasebeta

← #14962678

Subgroups — #14962678

Order 2816.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076907C211yesmaximal, characteristic, complemented
2#13076897C211yesmaximal, characteristic, complemented
3#13076480C211yesmaximal, characteristic, complemented
4#13076331C211yesmaximal, characteristic, complemented
5#13075943C211yesmaximal, characteristic, complemented
6#13075900C211yesmaximal, characteristic, complemented
7#13075882C211yesmaximal, characteristic, complemented
8#13075844C211yesmaximal, characteristic, complemented
9#13075709C211yesmaximal, characteristic, complemented
10#13075350C211yesmaximal, characteristic, complemented
11#13075342C211yesmaximal, characteristic, complemented
12#13075309C211yesmaximal, characteristic, complemented
13#13075252C211yesmaximal, characteristic, complemented
14#13075204C211yesmaximal, characteristic, complemented
15#13075058C211yesmaximal, characteristic, complemented
16#13074887C211yesmaximal, characteristic, complemented
17#13074884C211yesmaximal, characteristic, complemented
18#13074851C211yesmaximal, characteristic, complemented
19#13074389C211yesmaximal, characteristic, complemented
20#13073837C211yesmaximal, characteristic, complemented
21#13073574C211yesmaximal, characteristic, complemented
22#13072251C211yesmaximal, characteristic, complemented
23#13072158C211yesmaximal, characteristic, complemented
24#13072148C211yesmaximal, characteristic, complemented
25#13072084C211yesmaximal, characteristic, complemented
26#13072074C211yesmaximal, characteristic, complemented
27#13071969C211yesmaximal, characteristic, complemented
28#13071317C211yesmaximal, characteristic, complemented
29#13071242C211yesmaximal, characteristic, complemented
30C2×#10622569C211yesmaximal, characteristic, complemented
31C11×#2617C211yesmaximal, characteristic, complemented
32C23×C22⋊D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#121C2211yescharacteristic
35C2×C11×#120C2211yescharacteristic
36C2×C11×#120C2211yescharacteristic
37C22×C11×C22⋊C4C2211yescharacteristic
38C2×#67006C2211yescharacteristic
39C22×C22⋊Dic11C2211yescharacteristic
40C2×#66993C2211yescharacteristic
41C2×#66993C2211yescharacteristic
42C2×#66992C2211yescharacteristic
43C2×#66992C2211yescharacteristic
44C2×#66992C2211yescharacteristic
45C2×#66992C2211yescharacteristic
46C2×#66992C2211yescharacteristic, complemented
47C2×#66991C2211yescharacteristic, complemented
48C2×#66990C2211yescharacteristic
49C2×#66990C2211yescharacteristic
50C2×#66988C2211yescharacteristic, complemented
51C2×D4×Dic11C2211yescharacteristic
52C2×D4×Dic11C2211yescharacteristic
53C22×(C2×D11)⋊C4C2211yescharacteristic
54C2×#66947C2211yescharacteristic, complemented
55C2×#66937C2211yescharacteristic, complemented
56C2×#66937C2211yescharacteristic, complemented
57C2×#66936C2211yescharacteristic, complemented
58C2×#66936C2211yescharacteristic, complemented
59C2×#66935C2211yescharacteristic
60C2×(C22⋊D11)⋊C4C2211yescharacteristic
61C11×#397C2211yescharacteristic, complemented
62C11×#397C2211yescharacteristic, complemented
63C11×#394C2211yescharacteristic, complemented
64C11×#394C2211yescharacteristic, complemented
65C11×#394C2211yescharacteristic, complemented
66C11×#394C2211yescharacteristic, complemented
67C11×#392C2211yescharacteristic, complemented
68C11×#392C2211yescharacteristic, complemented
69C11×#386C2211yescharacteristic
70C11×#386C2211yescharacteristic
71C11×#380C2211yescharacteristic
72#10622860C2211yescharacteristic
73#10622836C2211yescharacteristic
74#10622836C2211yescharacteristic
75#10622836C2211yescharacteristic
76#10622836C2211yescharacteristic
77#10622836C2211yescharacteristic, complemented
78#10622836C2211yescharacteristic, complemented
79#10622836C2211yescharacteristic, complemented
80#10622835C2211yescharacteristic, complemented
81#10622835C2211yescharacteristic, complemented
82#10622835C2211yescharacteristic, complemented
83#10622834C2211yescharacteristic, complemented
84#10622833C2211yescharacteristic
85#10622833C2211yescharacteristic
86#10622833C2211yescharacteristic, complemented
87#10622833C2211yescharacteristic, complemented
88#10622826C2211yescharacteristic
89#10622826C2211yescharacteristic
90#10622823C2211yescharacteristic
91#10622823C2211yescharacteristic
92C2×C11⋊#95C2211yescharacteristic
93C2×C11⋊#95C2211yescharacteristic
94#10622607C2211yescharacteristic, complemented
95#10622605C2211yescharacteristic, complemented
96#10622604C2211yescharacteristic, complemented
97#10622603C2211yescharacteristic, complemented
98#10622603C2211yescharacteristic, complemented
99#10622603C2211yescharacteristic, complemented
100#10622597C2211yescharacteristic, complemented
101#10622597C2211yescharacteristic, complemented
102#10622594C2211yescharacteristic, complemented
103#10622593C2211yescharacteristic, complemented
104#10622591C2211yescharacteristic, complemented
105#10622574C2211yescharacteristic
106#10622574C2211yescharacteristic
107#10622574C2211yescharacteristic, complemented
108#10622574C2211yescharacteristic, complemented
109#10622574C2211yescharacteristic, complemented
110#10622573C2211yescharacteristic
111#10622573C2211yescharacteristic
112#10622572C2211yescharacteristic, complemented
113#10622572C2211yescharacteristic, complemented
114#10622572C2211yescharacteristic, complemented
115#10622572C2211yescharacteristic, complemented
116#10622572C2211yescharacteristic, complemented
117#10622571C2211yescharacteristic, complemented
118#10622571C2211yescharacteristic, complemented
119#10622571C2211yescharacteristic, complemented
120#10622570C2211yescharacteristic
121#10622570C2211yescharacteristic
122#10622570C2211yescharacteristic
123#10622570C2211yescharacteristic
124#10622570C2211yescharacteristic, complemented
125#10622569C2211yescharacteristic
126#10622569C2211yescharacteristic
127#10622569C2211yescharacteristic
128#10622569C2211yescharacteristic
129#10622569C2211yescharacteristic
130#10622569C2211yescharacteristic
131#10622569C2211yescharacteristic
132#10622569C2211yescharacteristic
133#10622569C2211yescharacteristic, complemented
134#10622569C2211yescharacteristic, complemented
135#10622569C2211yescharacteristic, complemented
136#10622569C2211yescharacteristic, complemented
137#10622569C2211yescharacteristic, complemented
138#10622569C2211yescharacteristic, complemented
139#10622568C2211yescharacteristic
140#10622566C2211yescharacteristic, complemented
141#10622565C2211yescharacteristic, complemented
142#10622565C2211yescharacteristic, complemented
143#10622565C2211yescharacteristic, complemented
144#10622565C2211yescharacteristic, complemented
145#10622565C2211yescharacteristic, complemented
146#10622563C2211yescharacteristic
147#10622562C2211yescharacteristic, complemented
148#10622561C2211yescharacteristic, complemented
149#10622559C2211yescharacteristic
150#10622559C2211yescharacteristic, complemented
151#10622558C2211yescharacteristic, complemented
152#10622558C2211yescharacteristic, complemented
153#10622558C2211yescharacteristic, complemented
154#10622557C2211yescharacteristic, complemented
155#10622557C2211yescharacteristic, complemented
156#10622557C2211yescharacteristic, complemented
157#10622557C2211yescharacteristic, complemented
158#10622556C2211yescharacteristic, complemented
159#10622555C2211yescharacteristic
160#10622555C2211yescharacteristic
161#10622555C2211yescharacteristic, complemented
162C22⋊C4×Dic11C2211yescharacteristic
163#10622288C2211yescharacteristic, complemented
164#10622285C2211yescharacteristic, complemented
165#10622282C2211yescharacteristic, complemented
166#10622282C2211yescharacteristic, complemented
167#10622281C2211yescharacteristic, complemented
168#10622281C2211yescharacteristic, complemented
169#10622281C2211yescharacteristic, complemented
170#10622280C2211yescharacteristic, complemented
171#10622280C2211yescharacteristic, complemented
172#10622278C2211yescharacteristic, complemented
173#10622278C2211yescharacteristic, complemented
174#10622278C2211yescharacteristic, complemented
175#10622277C2211yescharacteristic, complemented
176#10622277C2211yescharacteristic, complemented
177#10622272C2211yescharacteristic, complemented
178#10622271C2211yescharacteristic, complemented
179#10622268C2211yescharacteristic, complemented
180#10622267C2211yescharacteristic, complemented
181#10622266C2211yescharacteristic, complemented
182#10622266C2211yescharacteristic, complemented
183#10622265C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622264C2211yescharacteristic, complemented
186#10622263C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C24×D11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C22×C22⋊D11—24no—
199C22×C22⋊D11—42no—
200C22×C22⋊D11—42no—
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C22×C22⋊D11C2311yescharacteristic
212C22×C22⋊D11C2311yescharacteristic
213C22×C22⋊D11C2311yescharacteristic
214C23×Dic11C2311yescharacteristic
215C23×Dic11C2311yescharacteristic
216C23×Dic11C2311yescharacteristic
217C23×Dic11C2311yescharacteristic
218C23×Dic11C2311yescharacteristic
219C22×D44C2311yescharacteristic
220C22×D44C2311yescharacteristic
221C22×C4×D11—42no—
222C22×C4×D11—42no—
223C22×C4×D11—42no—
224C22×C4×D11C2311yescharacteristic
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C11×#121—42no—
230C11×#120—42no—
231C11×#120—42no—
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4—42no—
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252#67006—42no—
253C2×C22⋊Dic11—42no—
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275#66993—42no—
276#66993—42no—
277#66992—24no—
278#66992—42no—
279#66992—42no—
280#66992—42no—
281#66992—42no—
282#66991—42no—
283#66990—42no—
284#66990—42no—
285#66988—42no—
286D4×Dic11—24no—
287D4×Dic11—42no—
288C2×(C2×D11)⋊C4—42no—
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
311C2×C4⋊Dic11C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332#66947—42no—
333#66937—42no—
334#66937—42no—
335#66936—42no—
336#66936—42no—
337#66935—42no—
338(C22⋊D11)⋊C4—42no—
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
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375#36794—111nomaximal, Sylow
376C24×C11—22no—
377C24×C11—22no—
378C24×C11—22no—
379C24×C11—41no—
380C24×C11—41no—
381C24×C11—41no—
382C24×C11—41no—
383C24×C11C2411yescharacteristic
384C24×C11C2411yescharacteristic
385C24×C11C2411yescharacteristic
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C23×D11—22no—
389C23×D11—22no—
390C23×D11—22no—
391C23×D11—22no—
392C23×D11—22no—
393C23×D11—41no—
394C23×D11—41no—
395C23×D11C2411yescharacteristic
396C23×D11C2411yescharacteristic
397C23×D11C2411yescharacteristic
398C2×D4×C11—22no—
399C2×D4×C11—22no—
400C2×D4×C11—22no—
401C2×D4×C11—22no—
402C2×D4×C11—22no—
403C2×D4×C11—22no—
404C2×D4×C11—41no—
405C2×D4×C11—41no—
406C2×D4×C11—41no—
407C2×D4×C11—41no—
408C2×D4×C11—41no—
409C2×D4×C11—41no—
410C2×D4×C11—41no—
411C2×D4×C11—41no—
412C2×D4×C11—41no—
413C2×D4×C11—41no—
414C2×D4×C11—41no—
415C2×D4×C11—41no—
416C2×D4×C11—41no—
417C2×D4×C11—41no—
418C2×D4×C11—41no—
419C22×C4×C11—22no—
420C22×C4×C11—22no—
421C22×C4×C11—41no—
422C22×C4×C11—41no—
423C22×C4×C11—41no—
424C22×C4×C11—41no—
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—22no—
438C2×C22⋊D11—22no—
439C2×C22⋊D11—22no—
440C2×C22⋊D11—22no—
441C2×C22⋊D11—22no—
442C2×C22⋊D11—22no—
443C2×C22⋊D11—22no—
444C2×C22⋊D11—22no—
445C2×C22⋊D11—22no—
446C2×C22⋊D11—22no—
447C2×C22⋊D11—22no—
448C2×C22⋊D11—22no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11—22no—
451C2×C22⋊D11—22no—
452C2×C22⋊D11—41no—
453C2×C22⋊D11—41no—
454C2×C22⋊D11—41no—
455C2×C22⋊D11—41no—
456C2×C22⋊D11—41no—
457C2×C22⋊D11—41no—
458C2×C22⋊D11—41no—
459C2×C22⋊D11—41no—
460C2×C22⋊D11—41no—
461C2×C22⋊D11—41no—
462C2×C22⋊D11—41no—
463C2×C22⋊D11—41no—
464C2×C22⋊D11—41no—
465C2×C22⋊D11—41no—
466C2×C22⋊D11—41no—
467C2×C22⋊D11—41no—
468C2×C22⋊D11—41no—
469C2×C22⋊D11—41no—
470C2×C22⋊D11—41no—
471C2×C22⋊D11—41no—
472C2×C22⋊D11—41no—
473C2×C22⋊D11—41no—
474C2×C22⋊D11—416no—
475C22×Dic11—22no—
476C22×Dic11—22no—
477C22×Dic11—22no—
478C22×Dic11—22no—
479C22×Dic11—41no—
480C22×Dic11—41no—
481C22×Dic11—41no—
482C22×Dic11—41no—
483C22×Dic11—41no—
484C22×Dic11—41no—
485C22×Dic11—41no—
486C22×Dic11—41no—
487C22×Dic11—41no—
488C22×Dic11—41no—
489C22×Dic11#4114yes—
490C22×Dic11C2411yescharacteristic
491C22×Dic11C2411yescharacteristic
492C22×Dic11C2411yescharacteristic
493C22×Dic11C2411yescharacteristic
494C22×Dic11C2411yescharacteristic
495C22×Dic11C2411yescharacteristic
496C22×Dic11C2411yescharacteristic
497C22×Dic11C2411yescharacteristic
498C22×Dic11C2411yescharacteristic
499C22×Dic11C2411yescharacteristic
500C22×Dic11C2411yescharacteristic
501C22×Dic11C2411yescharacteristic
502C22×Dic11C2411yescharacteristic
503C2×D44—22no—
504C2×D44—22no—
505C2×D44—41no—
506C2×D44—41no—
507C2×D44—41no—
508C2×D44—41no—
509C2×C4×D11—22no—
510C2×C4×D11—22no—
511C2×C4×D11—22no—
512C2×C4×D11—22no—
513C2×C4×D11—41no—
514C2×C4×D11—41no—
515C2×C4×D11—41no—
516C2×C4×D11—41no—
517C2×C4×D11—41no—
518C2×C4×D11—41no—
519C2×C4×D11—41no—
520C2×C4×D11—41no—
521C2×C4×D11—41no—
522C2×C4×D11—41no—
523C2×C4×D11—41no—
524C2×C4×D11—416no—
525C11×C4⋊C4—41no—
526C11×C4⋊C4—41no—
527C11×C4⋊C4—41no—
528C11×C22⋊C4—22no—
529C11×C22⋊C4—22no—
530C11×C22⋊C4—41no—
531C11×C22⋊C4—41no—
532C11×C22⋊C4—41no—
533C11×C22⋊C4—41no—
534C11×C22⋊C4—41no—
535C11×C22⋊C4—41no—
536C11×C22⋊C4—41no—
537C11×C22⋊C4—41no—
538C11×C22⋊C4—41no—
539C11×C22⋊C4—41no—
540C11×C22⋊C4—41no—
541C11×C22⋊C4—41no—
542C11×C22⋊C4—41no—
543C11×C22⋊C4—41no—
544C22⋊Dic11—22no—
545C22⋊Dic11—22no—
546C22⋊Dic11—22no—
547C22⋊Dic11—22no—
548C22⋊Dic11—22no—
549C22⋊Dic11—22no—
550C22⋊Dic11—22no—
551C22⋊Dic11—22no—
552C22⋊Dic11—41no—
553C22⋊Dic11—41no—
554C22⋊Dic11—41no—
555C22⋊Dic11—41no—
556C22⋊Dic11—41no—
557C22⋊Dic11—41no—
558C22⋊Dic11—41no—
559C22⋊Dic11—41no—
560C22⋊Dic11—41no—
561C22⋊Dic11—41no—
562C22⋊Dic11—41no—
563C22⋊Dic11—41no—
564C22⋊Dic11—41no—
565(C2×D11)⋊C4—22no—
566(C2×D11)⋊C4—22no—
567(C2×D11)⋊C4—22no—
568(C2×D11)⋊C4—22no—
569(C2×D11)⋊C4—22no—
570(C2×D11)⋊C4—41no—
571(C2×D11)⋊C4—41no—
572(C2×D11)⋊C4—41no—
573(C2×D11)⋊C4—41no—
574(C2×D11)⋊C4—41no—
575(C2×D11)⋊C4—41no—
576(C2×D11)⋊C4—41no—
577(C2×D11)⋊C4—41no—
578(C2×D11)⋊C4—41no—
579(C2×D11)⋊C4—41no—
580(C2×D11)⋊C4—41no—
581(C2×D11)⋊C4—41no—
582(C2×D11)⋊C4—41no—
583(C2×D11)⋊C4—41no—
584(C2×D11)⋊C4—41no—
585(C2×D11)⋊C4—41no—
586C4⋊Dic11—22no—
587C4⋊Dic11—22no—
588C4⋊Dic11—41no—
589C4⋊Dic11—41no—
590Dic11⋊C4—22no—
591Dic11⋊C4—22no—
592Dic11⋊C4—41no—
593Dic11⋊C4—41no—
594Dic11⋊C4—41no—
595Dic11⋊C4—41no—
596Dic11⋊C4—41no—
597Dic11⋊C4—41no—
598Dic11⋊C4—41no—
599Dic11⋊C4—41no—
600Dic11⋊C4—41no—
601Dic11⋊C4—41no—
602Dic11⋊C4—41no—
603C4×Dic11—22no—
604C4×Dic11—41no—
605C4×Dic11—41no—
606C4×Dic11—41no—
607C4×Dic11—41no—
608#2849—111no—
609#2847—111no—
610#2797—111no—
611#2786—111no—
612#2756—111no—
613#2753—111no—
614#2752—111no—
615#2749—111no—
616#2740—111no—
617#2709—111no—
618#2709—111no—
619#2706—111no—
620#2703—111no—
621#2699—111no—
622#2688—111no—
623#2673—111no—
624#2673—111no—
625#2671—111no—
626#2622—111no—
627#2617D1111yescharacteristic, complemented
628#2569—111no—
629#2543—111no—
630#2433—111no—
631#2424—111no—
632#2424—111no—
633#2418—111no—
634#2418—111no—
635#2408—111no—
636#2325—111no—
637#2318—111no—
638C2×#386—111no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—21no—
669C23×C11—21no—
670C23×C11—21no—
671C23×C11—44no—
672C23×C11—44no—
673C23×C11—44no—
674C23×C11—82no—
675C23×C11—82no—
676C23×C11—82no—
677C23×C11—82no—
678C23×C11C2×#4112yes—
679C23×C11H(5,𝔽2)12yes—
680C23×C11H(5,𝔽2)12yes—
681C23×C11C2511yescharacteristic
682C22×D11—28no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—21no—
691C22×D11—21no—
692C22×D11—21no—
693C22×D11—21no—
694C22×D11—21no—
695C22×D11—21no—
696C22×D11—21no—
697C22×D11—21no—
698C22×D11—21no—
699C22×D11—21no—
700C22×D11—21no—
701C22×D11—21no—
702C22×D11—44no—
703C22×D11—44no—
704C22×D11—44no—
705C22×D11—44no—
706C22×D11—44no—
707C22×D11—44no—
708C22×D11H(5,𝔽2)12yes—
709C22×D11H(5,𝔽2)12yes—
710D4×C11—44no—
711D4×C11—44no—
712D4×C11—82no—
713D4×C11—82no—
714D4×C11—82no—
715D4×C11—82no—
716D4×C11—82no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—21no—
744C2×C4×C11—21no—
745C2×C4×C11—21no—
746C2×C4×C11—21no—
747C2×C4×C11—44no—
748C2×C4×C11—82no—
749C22⋊D11—44no—
750C22⋊D11—44no—
751C22⋊D11—44no—
752C22⋊D11—44no—
753C22⋊D11—44no—
754C22⋊D11—82no—
755C22⋊D11—82no—
756C22⋊D11—82no—
757C22⋊D11—82no—
758C22⋊D11—82no—
759C22⋊D11—82no—
760C22⋊D11—82no—
761C22⋊D11—82no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—44no—
799C2×Dic11—44no—
800C2×Dic11—82no—
801C2×Dic11—82no—
802C2×Dic11—82no—
803C2×Dic11C2×#4112yes—
804C2×Dic11C2×#4112yes—
805C2×Dic11H(5,𝔽2)12yes—
806D44—82no—
807D44—82no—
808C4×D11—44no—
809C4×D11—44no—
810C4×D11—44no—
811C4×D11—44no—
812C4×D11—82no—
813C23×D4—111no—
814C24×C4—111no—
815C2×#127—111no—
816C2×#127—111no—
817C2×#123—111no—
818C2×#123—111no—
819C2×#123—111no—
820C2×#123—111no—
821C2×#121—111no—
822C2×#121—111no—
823C2×#121—111no—
824C2×#121—111no—
825C2×#121—111no—
826C2×#121—111no—
827C2×#121—111no—
828C2×#121—111no—
829C2×#121C2×D1111yescharacteristic
830C2×#120—111no—
831C2×#120—111no—
832C2×#120—111no—
833C2×#120—111no—
834C2×#120C2×D1111yescharacteristic
835C2×#120C2×D1111yescharacteristic
836C2×C4×D4—111no—
837C2×C4×D4—111no—
838C2×C4×D4—111no—
839C22×C22⋊C4—111no—
840C22×C22⋊C4—111no—
841C22×C22⋊C4C2×D1111yescharacteristic
842#400—111no—
843#400—111no—
844#399—111no—
845#399—111no—
846#398—111no—
847#398—111no—
848#398—111no—
849#397—111no—
850#397—111no—
851#397—111no—
852#397—111no—
853#397—111no—
854#397—111no—
855#397—111no—
856#397C2×D1111yescharacteristic, complemented
857#397C2×D1111yescharacteristic, complemented
858#396—111no—
859#396—111no—
860#394—111no—
861#394—111no—
862#394—111no—
863#394—111no—
864#394—111no—
865#394—111no—
866#394—111no—
867#394—111no—
868#394—111no—
869#394—111no—
870#394—111no—
871#394—111no—
872#394—111no—
873#394—111no—
874#394—111no—
875#394C2×D1111yescharacteristic, complemented
876#394C2×D1111yescharacteristic, complemented
877#394C2×D1111yescharacteristic, complemented
878#394C2×D1111yescharacteristic, complemented
879#392—111no—
880#392—111no—
881#392—111no—
882#392—111no—
883#392—111no—
884#392—111no—
885#392—111no—
886#392—111no—
887#392—111no—
888#392C2×D1111yescharacteristic, complemented
889#392C2×D1111yescharacteristic, complemented
890#390—111no—
891#390—111no—
892#390—111no—
893#390—111no—
894#390—111no—
895#390—111no—
896#388—111no—
897#388—111no—
898#388—111no—
899#388—111no—
900#388—111no—
901#388—111no—
902#388—111no—
903#388—111no—
904#388—111no—
905#388—111no—
906#388—111no—
907#388—111no—
908#387—111no—
909#387—111no—
910#387—111no—
911#387—111no—
912#387—111no—
913#387—111no—
914#387—111no—
915#387—111no—
916#386—111no—
917#386—111no—
918#386—111no—
919#386—111no—
920#386—111no—
921#386—111no—
922#386—111no—
923#386—111no—
924#386—111no—
925#386—111no—
926#386—111no—
927#386—111no—
928#386—111no—
929#386—111no—
930#386—111no—
931#386—111no—
932#386—111no—
933#386—111no—
934#386—111no—
935#386—111no—
936#386—111no—
937#386—111no—
938#386—111no—
939#386—111no—
940#386—111no—
941#386—111no—
942#386C2×D1111yescharacteristic
943#386C2×D1111yescharacteristic
944#385—111no—
945#385—111no—
946#385—111no—
947#385—111no—
948#385—111no—
949#385—111no—
950#385—111no—
951#385—111no—
952#383—111no—
953#382—111no—
954#381—111no—
955#381—111no—
956#381—111no—
957#380—111no—
958#380—111no—
959#380—111no—
960#380—111no—
961#380—111no—
962#380C2×D1111yescharacteristic
963#379—111no—
964#379—111no—
965C4×C22⋊C4—111no—
966C2×#95—111no—
967C2×#95—111no—
968C22×C11—22no—
969C22×C11—22no—
970C22×C11—22no—
971C22×C11—22no—
972C22×C11—22no—
973C22×C11—22no—
974C22×C11—41no—
975C22×C11—41no—
976C22×C11—41no—
977C22×C11—41no—
978C22×C11—41no—
979C22×C11—41no—
980C22×C11—41no—
981C22×C11—41no—
982C22×C11—41no—
983C22×C11—41no—
984C22×C11—41no—
985C22×C11—41no—
986C22×C11—41no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
992C22×C11—41no—
993C22×C11—41no—
994C22×C11—41no—
995C22×C11—41no—
996C22×C11—41no—
997C22×C11—41no—
998C22×C11—41no—
999C22×C11—41no—
1000C22×C11—41no—
1001C22×C11—41no—
1002C22×C11—88no—
1003C22×C11#54014yes—
1004C22×C11C22×#4111yescharacteristic
1005C22×C11C2×H(5,𝔽2)11yescharacteristic
1006C22×C11C2×H(5,𝔽2)11yescharacteristic
1007C22×C11C2×H(5,𝔽2)11yescharacteristic
1008C22×C11C2×H(5,𝔽2)11yescharacteristic
1009C22×C11C2×H(5,𝔽2)11yescharacteristic
1010C22×C11#58511yescharacteristic
1011C2×D11—22no—
1012C2×D11—22no—
1013C2×D11—22no—
1014C2×D11—22no—
1015C2×D11—22no—
1016C2×D11—22no—
1017C2×D11—416no—
1018C2×D11—41no—
1019C2×D11—41no—
1020C2×D11—41no—
1021C2×D11—41no—
1022C2×D11—41no—
1023C2×D11—41no—
1024C2×D11—41no—
1025C2×D11—41no—
1026C2×D11—41no—
1027C2×D11—41no—
1028C2×D11—41no—
1029C2×D11—41no—
1030C2×D11—41no—
1031C2×D11—41no—
1032C2×D11—41no—
1033C4×C11—41no—
1034C4×C11—41no—
1035C4×C11—41no—
1036C4×C11—41no—
1037C4×C11—41no—
1038C4×C11—41no—
1039C4×C11—41no—
1040C4×C11—41no—
1041C4×C11—41no—
1042C4×C11—41no—
1043Dic11—22no—
1044Dic11—22no—
1045Dic11—22no—
1046Dic11—41no—
1047Dic11—41no—
1048Dic11—41no—
1049Dic11—41no—
1050Dic11—41no—
1051Dic11—41no—
1052Dic11—41no—
1053Dic11—41no—
1054Dic11—41no—
1055Dic11—41no—
1056C25—111no—
1057C25C22×D1111yescharacteristic
1058C22×D4—111no—
1059C22×D4—111no—
1060C22×D4—111no—
1061C22×D4—111no—
1062C22×D4—111no—
1063C22×D4—111no—
1064C22×D4—111no—
1065C22×D4—111no—
1066C22×D4—111no—
1067C22×D4—111no—
1068C22×D4—111no—
1069C22×D4—111no—
1070C22×D4—111no—
1071C22×D4—111no—
1072C22×D4—111no—
1073C22×D4—224no—
1074C22×D4—442no—
1075C22×D4—442no—
1076C22×D4C22×D1111yescharacteristic
1077C22×D4C22×D1111yescharacteristic
1078C22×D4C22×D1111yescharacteristic
1079C22×D4C22×D1111yescharacteristic
1080C22×D4C22×D1111yescharacteristic
1081C22×D4C22×D1111yescharacteristic
1082C22×D4C22×D1111yescharacteristic
1083C23×C4—111no—
1084C23×C4—111no—
1085C23×C4—111no—
1086C23×C4—111no—
1087C23×C4—111no—
1088C23×C4—111no—
1089C23×C4—111no—
1090C23×C4—111no—
1091C23×C4—111no—
1092C23×C4—111no—
1093C23×C4—442no—
1094C23×C4—442no—
1095C23×C4—442no—
1096C23×C4C22×D1111yescharacteristic
1097C23×C4C22×D1111yescharacteristic
1098#127—442no—
1099#127—442no—
1100#123—442no—
1101#123—442no—
1102#123—442no—
1103#123—442no—
1104#121—42no—
1105#121—224no—
1106#121—442no—
1107#121—442no—
1108#121—442no—
1109#121—442no—
1110#121—442no—
1111#121—442no—
1112#121—442no—
1113#120—42no—
1114#120—42no—
1115#120—442no—
1116#120—442no—
1117#120—442no—
1118#120—442no—
1119C4×D4—224no—
1120C4×D4—442no—
1121C4×D4—442no—
1122C2×C4⋊C4—111no—
1123C2×C4⋊C4—111no—
1124C2×C4⋊C4—111no—
1125C2×C4⋊C4—111no—
1126C2×C4⋊C4—111no—
1127C2×C4⋊C4—111no—
1128C2×C4⋊C4—111no—
1129C2×C4⋊C4—111no—
1130C2×C4⋊C4—111no—
1131C2×C4⋊C4—111no—
1132C2×C4⋊C4—111no—
1133C2×C4⋊C4—111no—
1134C2×C4⋊C4—111no—
1135C2×C4⋊C4—111no—
1136C2×C4⋊C4—111no—
1137C2×C4⋊C4—111no—
1138C2×C4⋊C4—111no—
1139C2×C4⋊C4C22×D1111yescharacteristic
1140C2×C4⋊C4C22×D1111yescharacteristic
1141C2×C4⋊C4C22×D1111yescharacteristic
1142C2×C22⋊C4—42no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4—111no—
1159C2×C22⋊C4—111no—
1160C2×C22⋊C4—111no—
1161C2×C22⋊C4—111no—
1162C2×C22⋊C4—111no—
1163C2×C22⋊C4—111no—
1164C2×C22⋊C4—111no—
1165C2×C22⋊C4—111no—
1166C2×C22⋊C4—111no—
1167C2×C22⋊C4—111no—
1168C2×C22⋊C4—111no—
1169C2×C22⋊C4—111no—
1170C2×C22⋊C4—111no—
1171C2×C22⋊C4—111no—
1172C2×C22⋊C4—111no—
1173C2×C22⋊C4—111no—
1174C2×C22⋊C4—111no—
1175C2×C22⋊C4—111no—
1176C2×C22⋊C4—111no—
1177C2×C22⋊C4—111no—
1178C2×C22⋊C4—111no—
1179C2×C22⋊C4—111no—
1180C2×C22⋊C4—111no—
1181C2×C22⋊C4—111no—
1182C2×C22⋊C4—111no—
1183C2×C22⋊C4—111no—
1184C2×C22⋊C4—111no—
1185C2×C22⋊C4—442no—
1186C2×C22⋊C4—442no—
1187C2×C22⋊C4C22×D1111yescharacteristic
1188C2×C22⋊C4C22×D1111yescharacteristic
1189C2×C22⋊C4C22×D1111yescharacteristic
1190C2×C22⋊C4C22×D1111yescharacteristic
1191C2×C22⋊C4C22×D1111yescharacteristic
1192C2×C22⋊C4C22×D1111yescharacteristic
1193C2×C22⋊C4C22×D1111yescharacteristic
1194C2×C22⋊C4C22×D1111yescharacteristic
1195C2×C22⋊C4C22×D1111yescharacteristic
1196C2×C22⋊C4C22×D1111yescharacteristic
1197C2×C22⋊C4C22×D1111yescharacteristic
1198C2×C22⋊C4C22×D1111yescharacteristic
1199C2×C22⋊C4C22×D1111yescharacteristic
1200C2×C22⋊C4C22×D1111yescharacteristic
1201C2×C22⋊C4C22×D1111yescharacteristic
1202C2×C22⋊C4C22×D1111yescharacteristic
1203C2×C42—111no—
1204C2×C42—111no—
1205C2×C42—111no—
1206C2×C42—111no—
1207C2×C42—111no—
1208#95—111no—
1209#95—111no—
1210#95—111no—
1211#95—111no—
1212#95—111no—
1213#95—111no—
1214#95—111no—
1215#95—111no—
1216#95—111no—
1217#95—111no—
1218#95—111no—
1219#95—111no—
1220#95—111no—
1221#95—111no—
1222#95—111no—
1223#95—111no—
1224#95—111no—
1225#95—111no—
1226#95—111no—
1227#95—111no—
1228#95—111no—
1229#95—111no—
1230#95—111no—
1231#95—111no—
1232#95—111no—
1233#95—111no—
1234#95—111no—
1235#95—111no—
1236#95—111no—
1237#95—111no—
1238#95C22×D1111yescharacteristic
1239#95C22×D1111yescharacteristic
1240#95C22×D1111yescharacteristic
1241#95C22×D1111yescharacteristic
1242#95C22×D1111yescharacteristic
1243#95C22×D1111yescharacteristic
1244C2×C11—24no—
1245C2×C11—81no—
1246C2×C11—81no—
1247C2×C11—81no—
1248C2×C11—81no—
1249C2×C11C2×#54011yescharacteristic
1250C2×C11#349011yescharacteristic
1251C2×C11#350611yescharacteristic
1252C2×C11#353211yescharacteristic
1253C2×C11#353411yescharacteristic
1254C2×C11#353411yescharacteristic
1255C2×C11#353711yescharacteristic
1256D11—42no—
1257D11—42no—
1258D11—81no—
1259C24—22no—
1260C24—22no—
1261C24—22no—
1262C24—41no—
1263C24—41no—
1264C24—41no—
1265C24—41no—
1266C24—111no—
1267C24—111no—
1268C24—111no—
1269C24—222no—
1270C24—222no—
1271C24—222no—
1272C24—222no—
1273C24—222no—
1274C24—441no—
1275C24—441no—
1276C24C23×D1111yescharacteristic
1277C24C23×D1111yescharacteristic
1278C24C23×D1111yescharacteristic
1279C24C23×D1111yescharacteristic
1280C24C23×D1111yescharacteristic
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—222no—
1303C2×D4—222no—
1304C2×D4—222no—
1305C2×D4—222no—
1306C2×D4—222no—
1307C2×D4—222no—
1308C2×D4—222no—
1309C2×D4—222no—
1310C2×D4—222no—
1311C2×D4—222no—
1312C2×D4—222no—
1313C2×D4—222no—
1314C2×D4—222no—
1315C2×D4—222no—
1316C2×D4—222no—
1317C2×D4—222no—
1318C2×D4—222no—
1319C2×D4—222no—
1320C2×D4—222no—
1321C2×D4—441no—
1322C2×D4—441no—
1323C2×D4—441no—
1324C2×D4—441no—
1325C2×D4—441no—
1326C2×D4—441no—
1327C2×D4—441no—
1328C2×D4—441no—
1329C2×D4—441no—
1330C2×D4—441no—
1331C2×D4—441no—
1332C2×D4—441no—
1333C2×D4—441no—
1334C2×D4—441no—
1335C2×D4—441no—
1336C2×D4—441no—
1337C2×D4—441no—
1338C2×D4—441no—
1339C2×D4—441no—
1340C2×D4—441no—
1341C2×D4—441no—
1342C2×D4—441no—
1343C2×D4—441no—
1344C2×D4—441no—
1345C2×D4—441no—
1346C2×D4—441no—
1347C2×D4—4416no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—111no—
1355C22×C4—111no—
1356C22×C4—111no—
1357C22×C4—114no—
1358C22×C4—111no—
1359C22×C4—111no—
1360C22×C4—111no—
1361C22×C4—111no—
1362C22×C4—111no—
1363C22×C4—111no—
1364C22×C4—111no—
1365C22×C4—111no—
1366C22×C4—111no—
1367C22×C4—111no—
1368C22×C4—222no—
1369C22×C4—222no—
1370C22×C4—222no—
1371C22×C4—222no—
1372C22×C4—222no—
1373C22×C4—222no—
1374C22×C4—222no—
1375C22×C4—222no—
1376C22×C4—441no—
1377C22×C4—441no—
1378C22×C4—441no—
1379C22×C4—441no—
1380C22×C4—441no—
1381C22×C4—441no—
1382C22×C4—441no—
1383C22×C4—441no—
1384C22×C4—441no—
1385C22×C4—441no—
1386C22×C4—441no—
1387C22×C4—4416no—
1388C22×C4—441no—
1389C22×C4—441no—
1390C22×C4—441no—
1391C22×C4—441no—
1392C22×C4—441no—
1393C22×C4—441no—
1394C22×C4—441no—
1395C22×C4—441no—
1396C22×C4—441no—
1397C22×C4—441no—
1398C22×C4C23×D1111yescharacteristic
1399C22×C4C23×D1111yescharacteristic
1400C22×C4C23×D1111yescharacteristic
1401C22×C4C23×D1111yescharacteristic
1402C22×C4C23×D1111yescharacteristic
1403C22×C4C23×D1111yescharacteristic
1404C22×C4C23×D1111yescharacteristic
1405C22×C4C23×D1111yescharacteristic
1406C22×C4C23×D1111yescharacteristic
1407C22×C4C23×D1111yescharacteristic
1408C4⋊C4—41no—
1409C4⋊C4—41no—
1410C4⋊C4—41no—
1411C4⋊C4—222no—
1412C4⋊C4—222no—
1413C4⋊C4—222no—
1414C4⋊C4—222no—
1415C4⋊C4—441no—
1416C4⋊C4—441no—
1417C4⋊C4—441no—
1418C4⋊C4—441no—
1419C4⋊C4—441no—
1420C4⋊C4—441no—
1421C4⋊C4—441no—
1422C4⋊C4—441no—
1423C4⋊C4—441no—
1424C4⋊C4—441no—
1425C4⋊C4—441no—
1426C4⋊C4—441no—
1427C4⋊C4—441no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—222no—
1445C22⋊C4—222no—
1446C22⋊C4—222no—
1447C22⋊C4—222no—
1448C22⋊C4—222no—
1449C22⋊C4—222no—
1450C22⋊C4—222no—
1451C22⋊C4—222no—
1452C22⋊C4—222no—
1453C22⋊C4—222no—
1454C22⋊C4—222no—
1455C22⋊C4—222no—
1456C22⋊C4—222no—
1457C22⋊C4—441no—
1458C22⋊C4—441no—
1459C22⋊C4—441no—
1460C22⋊C4—441no—
1461C22⋊C4—441no—
1462C22⋊C4—441no—
1463C22⋊C4—441no—
1464C22⋊C4—441no—
1465C22⋊C4—441no—
1466C22⋊C4—441no—
1467C22⋊C4—441no—
1468C22⋊C4—441no—
1469C22⋊C4—441no—
1470C22⋊C4—441no—
1471C22⋊C4—441no—
1472C22⋊C4—441no—
1473C22⋊C4—441no—
1474C22⋊C4—441no—
1475C22⋊C4—441no—
1476C22⋊C4—441no—
1477C22⋊C4—441no—
1478C22⋊C4—441no—
1479C22⋊C4—441no—
1480C22⋊C4—441no—
1481C22⋊C4—441no—
1482C22⋊C4—441no—
1483C22⋊C4—441no—
1484C22⋊C4—441no—
1485C22⋊C4—441no—
1486C42—222no—
1487C42—441no—
1488C42—441no—
1489C42—441no—
1490C42—441no—
1491C11#3679411yescharacteristic, complemented, Sylow
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—44no—
1525C23—44no—
1526C23—44no—
1527C23—82no—
1528C23—82no—
1529C23—82no—
1530C23—82no—
1531C23—112no—
1532C23—112no—
1533C23—228no—
1534C23—221no—
1535C23—221no—
1536C23—221no—
1537C23—221no—
1538C23—221no—
1539C23—221no—
1540C23—221no—
1541C23—221no—
1542C23—221no—
1543C23—221no—
1544C23—221no—
1545C23—221no—
1546C23—221no—
1547C23—221no—
1548C23—221no—
1549C23—221no—
1550C23—221no—
1551C23—221no—
1552C23—221no—
1553C23—444no—
1554C23—444no—
1555C23—444no—
1556C23—444no—
1557C23—444no—
1558C23—444no—
1559C23#6703712yes—
1560C23#6703712yes—
1561C23#41×D1112yes—
1562C23C24×D1111yescharacteristic
1563D4—44no—
1564D4—44no—
1565D4—82no—
1566D4—82no—
1567D4—82no—
1568D4—82no—
1569D4—82no—
1570D4—444no—
1571D4—444no—
1572D4—444no—
1573D4—444no—
1574D4—444no—
1575D4—882no—
1576D4—882no—
1577D4—882no—
1578D4—882no—
1579D4—882no—
1580D4—882no—
1581D4—882no—
1582D4—882no—
1583D4—882no—
1584D4—882no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—44no—
1616C2×C4—82no—
1617C2×C4—112no—
1618C2×C4—112no—
1619C2×C4—112no—
1620C2×C4—221no—
1621C2×C4—221no—
1622C2×C4—221no—
1623C2×C4—221no—
1624C2×C4—221no—
1625C2×C4—221no—
1626C2×C4—221no—
1627C2×C4—221no—
1628C2×C4—221no—
1629C2×C4—221no—
1630C2×C4—221no—
1631C2×C4—221no—
1632C2×C4—221no—
1633C2×C4—221no—
1634C2×C4—221no—
1635C2×C4—221no—
1636C2×C4—221no—
1637C2×C4—221no—
1638C2×C4—221no—
1639C2×C4—221no—
1640C2×C4—221no—
1641C2×C4—221no—
1642C2×C4—221no—
1643C2×C4—221no—
1644C2×C4—221no—
1645C2×C4—221no—
1646C2×C4—221no—
1647C2×C4—221no—
1648C2×C4—221no—
1649C2×C4—221no—
1650C2×C4—221no—
1651C2×C4—221no—
1652C2×C4—221no—
1653C2×C4—221no—
1654C2×C4—221no—
1655C2×C4—221no—
1656C2×C4—444no—
1657C2×C4—444no—
1658C2×C4—444no—
1659C2×C4—444no—
1660C2×C4—444no—
1661C2×C4—444no—
1662C2×C4—882no—
1663C2×C4—882no—
1664C2×C4—882no—
1665C2×C4—882no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—88no—
1701C22—222no—
1702C22—222no—
1703C22—222no—
1704C22—222no—
1705C22—222no—
1706C22—222no—
1707C22—4416no—
1708C22—441no—
1709C22—441no—
1710C22—441no—
1711C22—441no—
1712C22—441no—
1713C22—441no—
1714C22—441no—
1715C22—441no—
1716C22—441no—
1717C22—441no—
1718C22—441no—
1719C22—441no—
1720C22—441no—
1721C22—441no—
1722C22—441no—
1723C22#1062314614yes—
1724C22C2×#6703711yescharacteristic
1725C22C2×#6703711yescharacteristic
1726C22C2×#41×D1111yescharacteristic
1727C22D11×H(5,𝔽2)11yescharacteristic
1728C22D11×H(5,𝔽2)11yescharacteristic
1729C22D11×H(5,𝔽2)11yescharacteristic
1730C22#1062345511yescharacteristic
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—222no—
1742C4—222no—
1743C4—222no—
1744C4—441no—
1745C4—441no—
1746C4—441no—
1747C4—441no—
1748C4—441no—
1749C4—441no—
1750C4—441no—
1751C4—441no—
1752C4—441no—
1753C4—441no—
1754C2—24no—
1755C2—81no—
1756C2—81no—
1757C2—81no—
1758C2—81no—
1759C2—442no—
1760C2—442no—
1761C2—881no—
1762C2C2×#1062314611yescharacteristic
1763C2#1308230211yescharacteristic
1764C2#1308246311yescharacteristic
1765C2#1308277011yescharacteristic
1766C2#1308279611yescharacteristic
1767C2#1308280311yescharacteristic
1768C2#1308285311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2617C2
hypercenter#2617D11
hypocenterC11#36794
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2617

Complements

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

NH ≅ G/Ntype
1. #13076907C2semidirect
2. #13076897C2semidirect
3. #13076480C2semidirect
4. #13076331C2semidirect
5. #13075943C2semidirect
6. #13075900C2semidirect
7. #13075882C2semidirect
8. #13075844C2semidirect
9. #13075709C2semidirect
10. #13075350C2semidirect
11. #13075342C2semidirect
12. #13075309C2semidirect
13. #13075252C2semidirect
14. #13075204C2semidirect
15. #13075058C2semidirect
16. #13074887C2semidirect
17. #13074884C2semidirect
18. #13074851C2semidirect
19. #13074389C2semidirect
20. #13073837C2semidirect
21. #13073574C2semidirect
22. #13072251C2semidirect
23. #13072158C2semidirect
24. #13072148C2semidirect
25. #13072084C2semidirect
26. #13072074C2semidirect
27. #13071969C2semidirect
28. #13071317C2semidirect
29. #13071242C2semidirect
30. C2×#10622569C2semidirect
31. C11×#2617C2semidirect
46. C2×#66992C22semidirect
47. C2×#66991C22semidirect
50. C2×#66988C22semidirect
54. C2×#66947C22semidirect
55. C2×#66937C22semidirect
56. C2×#66937C22semidirect
57. C2×#66936C22semidirect
58. C2×#66936C22semidirect
61. C11×#397C22semidirect
62. C11×#397C22semidirect
63. C11×#394C22semidirect
64. C11×#394C22semidirect
65. C11×#394C22semidirect
66. C11×#394C22semidirect
67. C11×#392C22semidirect
68. C11×#392C22semidirect
77. #10622836C22semidirect
78. #10622836C22semidirect
79. #10622836C22semidirect
80. #10622835C22semidirect
81. #10622835C22semidirect
82. #10622835C22semidirect
83. #10622834C22semidirect
86. #10622833C22semidirect
87. #10622833C22semidirect
94. #10622607C22semidirect
95. #10622605C22semidirect
96. #10622604C22semidirect
97. #10622603C22semidirect
98. #10622603C22semidirect
99. #10622603C22semidirect
100. #10622597C22semidirect
101. #10622597C22semidirect
102. #10622594C22semidirect
103. #10622593C22semidirect
104. #10622591C22semidirect
107. #10622574C22semidirect
108. #10622574C22semidirect
109. #10622574C22semidirect
112. #10622572C22semidirect
113. #10622572C22semidirect
114. #10622572C22semidirect
115. #10622572C22semidirect
116. #10622572C22semidirect
117. #10622571C22semidirect
118. #10622571C22semidirect
119. #10622571C22semidirect
124. #10622570C22semidirect
133. #10622569C22semidirect
134. #10622569C22semidirect
135. #10622569C22semidirect
136. #10622569C22semidirect
137. #10622569C22semidirect
138. #10622569C22semidirect
140. #10622566C22semidirect
141. #10622565C22semidirect
142. #10622565C22semidirect
143. #10622565C22semidirect
144. #10622565C22semidirect
145. #10622565C22semidirect
147. #10622562C22semidirect
148. #10622561C22semidirect
150. #10622559C22semidirect
151. #10622558C22semidirect
152. #10622558C22semidirect
153. #10622558C22semidirect
154. #10622557C22semidirect
155. #10622557C22semidirect
156. #10622557C22semidirect
157. #10622557C22semidirect
158. #10622556C22semidirect
161. #10622555C22semidirect
163. #10622288C22semidirect
164. #10622285C22semidirect
165. #10622282C22semidirect
166. #10622282C22semidirect
167. #10622281C22semidirect
168. #10622281C22semidirect
169. #10622281C22semidirect
170. #10622280C22semidirect
171. #10622280C22semidirect
172. #10622278C22semidirect
173. #10622278C22semidirect
174. #10622278C22semidirect
175. #10622277C22semidirect
176. #10622277C22semidirect
177. #10622272C22semidirect
178. #10622271C22semidirect
179. #10622268C22semidirect
180. #10622267C22semidirect
181. #10622266C22semidirect
182. #10622266C22semidirect
183. #10622265C22semidirect
184. #10622265C22semidirect
185. #10622264C22semidirect
186. #10622263C22semidirect
627. #2617D11semidirect
856. #397C2×D11semidirect
857. #397C2×D11semidirect
875. #394C2×D11semidirect
876. #394C2×D11semidirect
877. #394C2×D11semidirect
878. #394C2×D11semidirect
888. #392C2×D11semidirect
889. #392C2×D11semidirect
1491. C11#36794semidirect

Maximal subgroups

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

subgroupindex
#130769072
#130768972
#130764802
#130763312
#130759432
#130759002
#130758822
#130758442
#130757092
#130753502
#130753422
#130753092
#130752522
#130752042
#130750582
#130748872
#130748842
#130748512
#130743892
#130738372
#130735742
#130722512
#130721582
#130721482
#130720842
#130720742
#130719692
#130713172
#130712422
C2×#106225692
C11×#26172
#3679411