Finite Group Databasebeta

← #14962236

Subgroups — #14962236

Order 2816.

1742 conjugacy classes of subgroups.

The subgroup lattice has 1460 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076933C211yesmaximal, characteristic, complemented
2#13076922C211yesmaximal, characteristic, complemented
3#13076336C211yesmaximal, characteristic, complemented
4#13076291C211yesmaximal, characteristic, complemented
5#13076117C211yesmaximal, characteristic, complemented
6#13076117C211yesmaximal, characteristic, complemented
7#13075819C211yesmaximal, characteristic, complemented
8#13075797C211yesmaximal, characteristic, complemented
9#13075781C211yesmaximal, characteristic, complemented
10#13075766C211yesmaximal, characteristic, complemented
11#13075766C211yesmaximal, characteristic, complemented
12#13075751C211yesmaximal, characteristic, complemented
13#13075682C211yesmaximal, characteristic, complemented
14#13075667C211yesmaximal, characteristic, complemented
15#13075536C211yesmaximal, characteristic, complemented
16#13075151C211yesmaximal, characteristic, complemented
17#13075136C211yesmaximal, characteristic, complemented
18#13075086C211yesmaximal, characteristic, complemented
19#13074435C211yesmaximal, characteristic, complemented
20#13074402C211yesmaximal, characteristic, complemented
21#13073119C211yesmaximal, characteristic, complemented
22#13073003C211yesmaximal, characteristic, complemented
23#13072894C211yesmaximal, characteristic, complemented
24#13072442C211yesmaximal, characteristic, complemented
25#13072277C211yesmaximal, characteristic, complemented
26#13072095C211yesmaximal, characteristic, complemented
27#13072012C211yesmaximal, characteristic
28#13072006C211yesmaximal, characteristic
29#13071274C211yesmaximal, characteristic
30C2×#10622558C211yesmaximal, characteristic, complemented
31C11×#2315C211yesmaximal, characteristic, complemented
32C22×C11×C22⋊C4C2211yescharacteristic
33C22×C11×C22⋊C4C2211yescharacteristic
34C22×C11×C22⋊C4C2211yescharacteristic
35C2×#67006C2211yescharacteristic
36C22×C22⋊Dic11C2211yescharacteristic
37C22×C22⋊Dic11C2211yescharacteristic
38C2×#66982C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C2×#66977C2211yescharacteristic
41C22×Dic11⋊C4C2211yescharacteristic
42C22×C4×Dic11C2211yescharacteristic
43C2×#66951C2211yescharacteristic, complemented
44C2×#66942C2211yescharacteristic, complemented
45C2×#66939C2211yescharacteristic
46C2×#66931C2211yescharacteristic
47C11×#385C2211yescharacteristic
48C11×#385C2211yescharacteristic
49C11×#385C2211yescharacteristic
50C11×#385C2211yescharacteristic
51C11×#385C2211yescharacteristic
52C11×#385C2211yescharacteristic
53C11×#385C2211yescharacteristic
54C11×#385C2211yescharacteristic
55C11×#380C2211yescharacteristic
56C11×#380C2211yescharacteristic
57C11×#380C2211yescharacteristic
58C11×#380C2211yescharacteristic
59#10622860C2211yescharacteristic
60#10622826C2211yescharacteristic
61#10622826C2211yescharacteristic
62#10622826C2211yescharacteristic
63#10622826C2211yescharacteristic
64#10622825C2211yescharacteristic
65#10622825C2211yescharacteristic
66#10622825C2211yescharacteristic
67#10622824C2211yescharacteristic
68#10622824C2211yescharacteristic
69#10622824C2211yescharacteristic
70#10622823C2211yescharacteristic
71#10622823C2211yescharacteristic
72#10622823C2211yescharacteristic
73#10622823C2211yescharacteristic
74#10622823C2211yescharacteristic
75#10622823C2211yescharacteristic
76C4×C22⋊Dic11C2211yescharacteristic
77C2×C11⋊#95C2211yescharacteristic
78C2×C11⋊#95C2211yescharacteristic
79#10622607C2211yescharacteristic, complemented
80#10622606C2211yescharacteristic, complemented
81#10622605C2211yescharacteristic, complemented
82#10622605C2211yescharacteristic, complemented
83#10622603C2211yescharacteristic, complemented
84#10622602C2211yescharacteristic, complemented
85#10622602C2211yescharacteristic, complemented
86#10622599C2211yescharacteristic, complemented
87#10622597C2211yescharacteristic, complemented
88#10622597C2211yescharacteristic, complemented
89#10622597C2211yescharacteristic, complemented
90#10622596C2211yescharacteristic, complemented
91#10622595C2211yescharacteristic, complemented
92#10622595C2211yescharacteristic, complemented
93#10622594C2211yescharacteristic, complemented
94#10622594C2211yescharacteristic, complemented
95#10622594C2211yescharacteristic, complemented
96#10622594C2211yescharacteristic, complemented
97#10622594C2211yescharacteristic, complemented
98#10622594C2211yescharacteristic, complemented
99#10622593C2211yescharacteristic, complemented
100#10622593C2211yescharacteristic, complemented
101#10622593C2211yescharacteristic, complemented
102#10622592C2211yescharacteristic, complemented
103#10622592C2211yescharacteristic, complemented
104#10622591C2211yescharacteristic, complemented
105#10622591C2211yescharacteristic, complemented
106#10622591C2211yescharacteristic, complemented
107#10622591C2211yescharacteristic, complemented
108#10622585C2211yescharacteristic, complemented
109#10622574C2211yescharacteristic
110#10622574C2211yescharacteristic
111#10622572C2211yescharacteristic
112#10622572C2211yescharacteristic
113#10622571C2211yescharacteristic
114#10622571C2211yescharacteristic
115#10622571C2211yescharacteristic
116#10622570C2211yescharacteristic
117#10622570C2211yescharacteristic
118#10622569C2211yescharacteristic
119#10622569C2211yescharacteristic
120#10622566C2211yescharacteristic
121#10622566C2211yescharacteristic
122#10622565C2211yescharacteristic
123#10622565C2211yescharacteristic
124#10622565C2211yescharacteristic
125#10622565C2211yescharacteristic
126#10622565C2211yescharacteristic
127#10622565C2211yescharacteristic
128#10622563C2211yescharacteristic
129#10622563C2211yescharacteristic
130#10622562C2211yescharacteristic
131#10622561C2211yescharacteristic
132#10622561C2211yescharacteristic
133#10622560C2211yescharacteristic
134#10622559C2211yescharacteristic
135#10622559C2211yescharacteristic
136#10622559C2211yescharacteristic
137#10622558C2211yescharacteristic
138#10622558C2211yescharacteristic
139#10622558C2211yescharacteristic
140#10622558C2211yescharacteristic
141#10622558C2211yescharacteristic
142#10622558C2211yescharacteristic
143#10622558C2211yescharacteristic
144#10622558C2211yescharacteristic
145#10622558C2211yescharacteristic
146#10622558C2211yescharacteristic
147#10622557C2211yescharacteristic
148#10622557C2211yescharacteristic
149#10622556C2211yescharacteristic
150#10622556C2211yescharacteristic
151#10622556C2211yescharacteristic
152#10622555C2211yescharacteristic
153#10622555C2211yescharacteristic
154#10622555C2211yescharacteristic
155#10622288C2211yescharacteristic, complemented
156#10622288C2211yescharacteristic, complemented
157#10622288C2211yescharacteristic, complemented
158#10622286C2211yescharacteristic, complemented
159#10622283C2211yescharacteristic, complemented
160#10622282C2211yescharacteristic, complemented
161#10622280C2211yescharacteristic, complemented
162#10622277C2211yescharacteristic, complemented
163C11⋊#401C2211yescharacteristic, complemented
164#10622273C2211yescharacteristic, complemented
165#10622273C2211yescharacteristic, complemented
166#10622273C2211yescharacteristic, complemented
167#10622273C2211yescharacteristic, complemented
168#10622272C2211yescharacteristic, complemented
169#10622271C2211yescharacteristic, complemented
170#10622271C2211yescharacteristic, complemented
171#10622271C2211yescharacteristic, complemented
172#10622271C2211yescharacteristic, complemented
173#10622270C2211yescharacteristic, complemented
174#10622270C2211yescharacteristic, complemented
175#10622268C2211yescharacteristic, complemented
176#10622267C2211yescharacteristic, complemented
177#10622267C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622264C2211yescharacteristic, complemented
181#10622264C2211yescharacteristic, complemented
182#10622263C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×Dic22C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4—24no—
212C2×C11×C22⋊C4—42no—
213C2×C11×C22⋊C4—42no—
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226#67006—24no—
227C2×C22⋊Dic11—24no—
228C2×C22⋊Dic11—42no—
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246#66982—42no—
247C4×C22⋊D11—42no—
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×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
266#66977—42no—
267C2×Dic11⋊C4—42no—
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×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×C4×Dic11—42no—
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297#66951—42no—
298#66942—42no—
299#66939—42no—
300#66931—42no—
301C11×#95C2311yescharacteristic
302C11×#95C2311yescharacteristic
303C11×#95C2311yescharacteristic
304C11×#95C2311yescharacteristic
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
309C11⋊#95C2311yescharacteristic
310C11⋊#95C2311yescharacteristic
311C11⋊#95C2311yescharacteristic
312C11⋊#95C2311yescharacteristic
313C11⋊#95C2311yescharacteristic
314C11⋊#95C2311yescharacteristic
315C11⋊#95C2311yescharacteristic
316C11⋊#95C2311yescharacteristic
317C11⋊#95C2311yescharacteristic
318C11⋊#95C2311yescharacteristic
319C11⋊#95C2311yescharacteristic
320C11⋊#95C2311yescharacteristic
321C11⋊#95C2311yescharacteristic
322C11⋊#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357#36780—111nomaximal, Sylow
358C24×C11—22no—
359C24×C11—22no—
360C24×C11—41no—
361C24×C11—41no—
362C24×C11—41no—
363C24×C11—41no—
364C24×C11#4114yes—
365C24×C11C2411yescharacteristic
366C24×C11C2411yescharacteristic
367C24×C11C2411yescharacteristic
368C23×D11C2411yescharacteristic
369C22×C4×C11—22no—
370C22×C4×C11—22no—
371C22×C4×C11—22no—
372C22×C4×C11—22no—
373C22×C4×C11—41no—
374C22×C4×C11—41no—
375C22×C4×C11—41no—
376C22×C4×C11—41no—
377C22×C4×C11—41no—
378C22×C4×C11—41no—
379C22×C4×C11—41no—
380C22×C4×C11—41no—
381C22×C4×C11—41no—
382C22×C4×C11—41no—
383C22×C4×C11—41no—
384C22×C4×C11—41no—
385C22×C4×C11—41no—
386C22×C4×C11—41no—
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C2×C22⋊D11—22no—
400C2×C22⋊D11—22no—
401C2×C22⋊D11—22no—
402C2×C22⋊D11—22no—
403C2×C22⋊D11—22no—
404C2×C22⋊D11—41no—
405C2×C22⋊D11—41no—
406C2×C22⋊D11—41no—
407C2×C22⋊D11—41no—
408C22×Dic11—22no—
409C22×Dic11—22no—
410C22×Dic11—22no—
411C22×Dic11—22no—
412C22×Dic11—22no—
413C22×Dic11—22no—
414C22×Dic11—22no—
415C22×Dic11—41no—
416C22×Dic11—41no—
417C22×Dic11—41no—
418C22×Dic11—41no—
419C22×Dic11—41no—
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C2×C4×D11—41no—
436C2×C4×D11—41no—
437C2×C4×D11—41no—
438C2×Dic22—41no—
439C2×Dic22—41no—
440C2×Dic22—41no—
441C11×C4⋊C4—41no—
442C11×C4⋊C4—41no—
443C11×C4⋊C4—41no—
444C11×C4⋊C4—41no—
445C11×C4⋊C4—41no—
446C11×C4⋊C4—41no—
447C11×C4⋊C4—41no—
448C11×C4⋊C4—41no—
449C11×C22⋊C4—22no—
450C11×C22⋊C4—22no—
451C11×C22⋊C4—22no—
452C11×C22⋊C4—22no—
453C11×C22⋊C4—22no—
454C11×C22⋊C4—22no—
455C11×C22⋊C4—41no—
456C11×C22⋊C4—41no—
457C11×C22⋊C4—41no—
458C11×C22⋊C4—41no—
459C11×C22⋊C4—41no—
460C11×C22⋊C4—41no—
461C22⋊Dic11—22no—
462C22⋊Dic11—22no—
463C22⋊Dic11—22no—
464C22⋊Dic11—22no—
465C22⋊Dic11—22no—
466C22⋊Dic11—22no—
467C22⋊Dic11—22no—
468C22⋊Dic11—22no—
469C22⋊Dic11—22no—
470C22⋊Dic11—22no—
471C22⋊Dic11—22no—
472C22⋊Dic11—41no—
473C22⋊Dic11—41no—
474C22⋊Dic11—41no—
475C22⋊Dic11—41no—
476C22⋊Dic11—41no—
477C22⋊Dic11—41no—
478(C2×D11)⋊C4—22no—
479(C2×D11)⋊C4—41no—
480(C2×D11)⋊C4—41no—
481(C2×D11)⋊C4—41no—
482(C2×D11)⋊C4—41no—
483(C2×D11)⋊C4—41no—
484(C2×D11)⋊C4—41no—
485(C2×D11)⋊C4—41no—
486(C2×D11)⋊C4—41no—
487(C2×D11)⋊C4—41no—
488(C2×D11)⋊C4—41no—
489C4⋊Dic11—22no—
490C4⋊Dic11—41no—
491C4⋊Dic11—41no—
492C4⋊Dic11—41no—
493C4⋊Dic11—41no—
494C4⋊Dic11—41no—
495C4⋊Dic11—41no—
496Dic11⋊C4—22no—
497Dic11⋊C4—22no—
498Dic11⋊C4—41no—
499Dic11⋊C4—41no—
500Dic11⋊C4—41no—
501Dic11⋊C4—41no—
502Dic11⋊C4—41no—
503Dic11⋊C4—41no—
504Dic11⋊C4—41no—
505Dic11⋊C4—41no—
506Dic11⋊C4—41no—
507Dic11⋊C4—41no—
508Dic11⋊C4—41no—
509Dic11⋊C4—41no—
510Dic11⋊C4—41no—
511Dic11⋊C4—41no—
512Dic11⋊C4—41no—
513Dic11⋊C4—41no—
514Dic11⋊C4—41no—
515Dic11⋊C4—41no—
516Dic11⋊C4—41no—
517C4×Dic11—22no—
518C4×Dic11—22no—
519C4×Dic11—41no—
520C4×Dic11—41no—
521C4×Dic11—41no—
522C4×Dic11—41no—
523C4×Dic11—41no—
524#2852—111no—
525#2851—111no—
526#2786—111no—
527#2782—111no—
528#2770—111no—
529#2770—111no—
530#2747—111no—
531#2746—111no—
532#2745—111no—
533#2744—111no—
534#2744—111no—
535#2743—111no—
536#2738—111no—
537#2737—111no—
538#2723—111no—
539#2695—111no—
540#2694—111no—
541#2690—111no—
542#2627—111no—
543#2623—111no—
544#2505—111no—
545#2493—111no—
546#2483—111no—
547#2450—111no—
548#2437—111no—
549#2419—111no—
550#2412—111no—
551#2412—111no—
552#2321—111no—
553#2315D1111yescharacteristic, complemented
554C2×#388—111no—
555C23×C11—21no—
556C23×C11—21no—
557C23×C11—21no—
558C23×C11—21no—
559C23×C11—21no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11—21no—
565C23×C11—21no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11—21no—
569C23×C11—21no—
570C23×C11—21no—
571C23×C11—28no—
572C23×C11—44no—
573C23×C11—44no—
574C23×C11—82no—
575C23×C11—82no—
576C23×C11—82no—
577C23×C11—82no—
578C23×C11C2×#4112yes—
579C23×C11C2×#4112yes—
580C23×C11C2×#4112yes—
581C23×C11H(5,𝔽2)12yes—
582C23×C112−1+412yes—
583C23×C11C2511yescharacteristic
584C22×D11—21no—
585C22×D11—21no—
586C22×D11—21no—
587C22×D11—21no—
588C22×D11—21no—
589C22×D11—21no—
590C22×D11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—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—44no—
628C2×C4×C11—82no—
629C2×C4×C11—82no—
630C2×C4×C11—82no—
631C2×C4×C11—82no—
632C2×C4×C11—82no—
633C22⋊D11—44no—
634C22⋊D11—82no—
635C22⋊D11—82no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—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—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—44no—
681C2×Dic11—44no—
682C2×Dic11—44no—
683C2×Dic11—82no—
684C2×Dic11H(5,𝔽2)12yes—
685C4×D11—82no—
686Dic22—82no—
687C2×#126—111no—
688C2×#125—111no—
689C2×#123—111no—
690C2×#123—111no—
691C2×C22⋊Q8—111no—
692C2×C22⋊Q8—111no—
693C2×#120—111no—
694C2×C4×D4—111no—
695C22×C4⋊C4—111no—
696C22×C22⋊C4—111no—
697C22×C22⋊C4—111no—
698C22×C22⋊C4C2×D1111yescharacteristic
699C22×C22⋊C4C2×D1111yescharacteristic
700C22×C22⋊C4C2×D1111yescharacteristic
701C22×C42—111no—
702#401—111no—
703#400—111no—
704#400—111no—
705#400—111no—
706#400—111no—
707#400—111no—
708#400—111no—
709#400—111no—
710#400—111no—
711#400—111no—
712#400—111no—
713#400—111no—
714#400—111no—
715#399—111no—
716#399—111no—
717#399—111no—
718#398—111no—
719#398—111no—
720#398—111no—
721#398—111no—
722#398—111no—
723#398—111no—
724#398—111no—
725#398—111no—
726#398—111no—
727#397—111no—
728#397—111no—
729#397—111no—
730#397—111no—
731#397—111no—
732#397—111no—
733#397—111no—
734#397—111no—
735#397—111no—
736#397—111no—
737#397—111no—
738#397—111no—
739#396—111no—
740#396—111no—
741#396—111no—
742#395—111no—
743#395—111no—
744#394—111no—
745#394—111no—
746#394—111no—
747#394—111no—
748#393—111no—
749#393—111no—
750#391—111no—
751#390—111no—
752#390—111no—
753#389—111no—
754#389—111no—
755#389—111no—
756#388—111no—
757#388—111no—
758#388—111no—
759#388—111no—
760#388—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#387—111no—
772#387—111no—
773#387—111no—
774#387—111no—
775#387—111no—
776#387—111no—
777#387—111no—
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#386—111no—
787#386—111no—
788#386—111no—
789#386—111no—
790#386—111no—
791#386—111no—
792#386—111no—
793#386—111no—
794#386—111no—
795#385—111no—
796#385—111no—
797#385—111no—
798#385—111no—
799#385—111no—
800#385—111no—
801#385—111no—
802#385—111no—
803#385—111no—
804#385—111no—
805#385—111no—
806#385—111no—
807#385—111no—
808#385C2×D1111yescharacteristic
809#385C2×D1111yescharacteristic
810#385C2×D1111yescharacteristic
811#385C2×D1111yescharacteristic
812#385C2×D1111yescharacteristic
813#385C2×D1111yescharacteristic
814#385C2×D1111yescharacteristic
815#385C2×D1111yescharacteristic
816#383—111no—
817#383—111no—
818#382—111no—
819#382—111no—
820#381—111no—
821#381—111no—
822#381—111no—
823#381—111no—
824#381—111no—
825#381—111no—
826#381—111no—
827#380—111no—
828#380—111no—
829#380—111no—
830#380—111no—
831#380—111no—
832#380—111no—
833#380—111no—
834#380C2×D1111yescharacteristic
835#380C2×D1111yescharacteristic
836#380C2×D1111yescharacteristic
837#380C2×D1111yescharacteristic
838#379—111no—
839C4×C22⋊C4—111no—
840C2×#95—111no—
841C2×#95—111no—
842C22×C11—22no—
843C22×C11—22no—
844C22×C11—22no—
845C22×C11—22no—
846C22×C11—22no—
847C22×C11—22no—
848C22×C11—22no—
849C22×C11—22no—
850C22×C11—22no—
851C22×C11—22no—
852C22×C11—22no—
853C22×C11—22no—
854C22×C11—41no—
855C22×C11—41no—
856C22×C11—41no—
857C22×C11—41no—
858C22×C11—41no—
859C22×C11—41no—
860C22×C11—41no—
861C22×C11—41no—
862C22×C11—88no—
863C22×C11#53914yes—
864C22×C11C22×#4111yescharacteristic
865C22×C11C2×H(5,𝔽2)11yescharacteristic
866C22×C11C2×H(5,𝔽2)11yescharacteristic
867C22×C11C2×2−1+411yescharacteristic
868C22×C11#58511yescharacteristic
869C22×C11#58511yescharacteristic
870C22×C11#58511yescharacteristic
871C2×D11—41no—
872C2×D11—41no—
873C2×D11—41no—
874C2×D11—41no—
875C2×D11—41no—
876C2×D11—41no—
877C2×D11—41no—
878C4×C11—41no—
879C4×C11—41no—
880C4×C11—41no—
881C4×C11—41no—
882C4×C11—41no—
883C4×C11—41no—
884C4×C11—41no—
885C4×C11—41no—
886C4×C11—41no—
887C4×C11—41no—
888C4×C11—41no—
889C4×C11—41no—
890Dic11—22no—
891Dic11—41no—
892Dic11—41no—
893Dic11—41no—
894Dic11—41no—
895Dic11—41no—
896Dic11—41no—
897Dic11—41no—
898Dic11—41no—
899Dic11—41no—
900Dic11—41no—
901Dic11—41no—
902Dic11—41no—
903Dic11—41no—
904Dic11—41no—
905C25C22×D1111yescharacteristic
906C22×Q8—111no—
907C22×D4—111no—
908C22×D4—111no—
909C22×D4—111no—
910C23×C4—111no—
911C23×C4—111no—
912C23×C4—111no—
913C23×C4—111no—
914C23×C4—111no—
915C23×C4C22×D1111yescharacteristic
916C23×C4C22×D1111yescharacteristic
917C23×C4C22×D1111yescharacteristic
918C23×C4C22×D1111yescharacteristic
919C23×C4C22×D1111yescharacteristic
920C23×C4C22×D1111yescharacteristic
921#126—442no—
922#125—442no—
923#123—442no—
924#123—442no—
925C22⋊Q8—442no—
926C22⋊Q8—442no—
927#120—224no—
928C4×D4—442no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
931C2×C4⋊C4—111no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—111no—
937C2×C4⋊C4—111no—
938C2×C4⋊C4—111no—
939C2×C4⋊C4—111no—
940C2×C4⋊C4—111no—
941C2×C4⋊C4—111no—
942C2×C4⋊C4—111no—
943C2×C4⋊C4—111no—
944C2×C4⋊C4—111no—
945C2×C4⋊C4—111no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4—111no—
950C2×C4⋊C4—111no—
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—442no—
958C2×C4⋊C4C22×D1111yescharacteristic
959C2×C4⋊C4C22×D1111yescharacteristic
960C2×C4⋊C4C22×D1111yescharacteristic
961C2×C4⋊C4C22×D1111yescharacteristic
962C2×C4⋊C4C22×D1111yescharacteristic
963C2×C4⋊C4C22×D1111yescharacteristic
964C2×C4⋊C4C22×D1111yescharacteristic
965C2×C4⋊C4C22×D1111yescharacteristic
966C2×C22⋊C4—24no—
967C2×C22⋊C4—42no—
968C2×C22⋊C4—42no—
969C2×C22⋊C4—111no—
970C2×C22⋊C4—111no—
971C2×C22⋊C4—111no—
972C2×C22⋊C4—111no—
973C2×C22⋊C4—111no—
974C2×C22⋊C4—111no—
975C2×C22⋊C4—111no—
976C2×C22⋊C4—111no—
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—224no—
998C2×C22⋊C4—442no—
999C2×C22⋊C4C22×D1111yescharacteristic
1000C2×C22⋊C4C22×D1111yescharacteristic
1001C2×C22⋊C4C22×D1111yescharacteristic
1002C2×C22⋊C4C22×D1111yescharacteristic
1003C2×C22⋊C4C22×D1111yescharacteristic
1004C2×C22⋊C4C22×D1111yescharacteristic
1005C2×C22⋊C4C22×D1111yescharacteristic
1006C2×C22⋊C4C22×D1111yescharacteristic
1007C2×C22⋊C4C22×D1111yescharacteristic
1008C2×C22⋊C4C22×D1111yescharacteristic
1009C2×C22⋊C4C22×D1111yescharacteristic
1010C2×C22⋊C4C22×D1111yescharacteristic
1011C2×C42—111no—
1012C2×C42—111no—
1013C2×C42—111no—
1014C2×C42—111no—
1015C2×C42—111no—
1016C2×C42—111no—
1017C2×C42—111no—
1018C2×C42—442no—
1019#95—111no—
1020#95—111no—
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95—111no—
1040#95—111no—
1041#95—111no—
1042#95—111no—
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#95C22×D1111yescharacteristic
1068#95C22×D1111yescharacteristic
1069#95C22×D1111yescharacteristic
1070#95C22×D1111yescharacteristic
1071#95C22×D1111yescharacteristic
1072#95C22×D1111yescharacteristic
1073#95C22×D1111yescharacteristic
1074#95C22×D1111yescharacteristic
1075C2×C11—24no—
1076C2×C11—42no—
1077C2×C11—42no—
1078C2×C11C2×#53911yescharacteristic
1079C2×C11#349111yescharacteristic
1080C2×C11#350511yescharacteristic
1081C2×C11#353511yescharacteristic
1082C2×C11#354211yescharacteristic
1083C2×C11#354511yescharacteristic
1084C2×C11#356411yescharacteristic
1085D11—81no—
1086C24—22no—
1087C24—22no—
1088C24—41no—
1089C24—41no—
1090C24—41no—
1091C24—41no—
1092C24—111no—
1093C24#433914yes—
1094C24C23×D1111yescharacteristic
1095C24C23×D1111yescharacteristic
1096C24C23×D1111yescharacteristic
1097C2×Q8—441no—
1098C2×Q8—441no—
1099C2×Q8—441no—
1100C2×D4—222no—
1101C2×D4—222no—
1102C2×D4—222no—
1103C2×D4—222no—
1104C2×D4—222no—
1105C2×D4—441no—
1106C2×D4—441no—
1107C2×D4—441no—
1108C2×D4—441no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—41no—
1114C22×C4—41no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—111no—
1128C22×C4—111no—
1129C22×C4—111no—
1130C22×C4—111no—
1131C22×C4—111no—
1132C22×C4—111no—
1133C22×C4—111no—
1134C22×C4—111no—
1135C22×C4—111no—
1136C22×C4—111no—
1137C22×C4—111no—
1138C22×C4—111no—
1139C22×C4—111no—
1140C22×C4—111no—
1141C22×C4—111no—
1142C22×C4—222no—
1143C22×C4—222no—
1144C22×C4—222no—
1145C22×C4—222no—
1146C22×C4—222no—
1147C22×C4—222no—
1148C22×C4—222no—
1149C22×C4—441no—
1150C22×C4—441no—
1151C22×C4—441no—
1152C22×C4—441no—
1153C22×C4—441no—
1154C22×C4—441no—
1155C22×C4—441no—
1156C22×C4—441no—
1157C22×C4C23×D1111yescharacteristic
1158C22×C4C23×D1111yescharacteristic
1159C22×C4C23×D1111yescharacteristic
1160C22×C4C23×D1111yescharacteristic
1161C22×C4C23×D1111yescharacteristic
1162C22×C4C23×D1111yescharacteristic
1163C22×C4C23×D1111yescharacteristic
1164C22×C4C23×D1111yescharacteristic
1165C22×C4C23×D1111yescharacteristic
1166C22×C4C23×D1111yescharacteristic
1167C22×C4C23×D1111yescharacteristic
1168C22×C4C23×D1111yescharacteristic
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—222no—
1178C4⋊C4—222no—
1179C4⋊C4—222no—
1180C4⋊C4—441no—
1181C4⋊C4—441no—
1182C4⋊C4—441no—
1183C4⋊C4—441no—
1184C4⋊C4—441no—
1185C4⋊C4—441no—
1186C4⋊C4—441no—
1187C4⋊C4—441no—
1188C4⋊C4—441no—
1189C4⋊C4—441no—
1190C4⋊C4—441no—
1191C4⋊C4—441no—
1192C4⋊C4—441no—
1193C4⋊C4—441no—
1194C4⋊C4—441no—
1195C4⋊C4—441no—
1196C4⋊C4—441no—
1197C4⋊C4—441no—
1198C4⋊C4—441no—
1199C4⋊C4—441no—
1200C4⋊C4—441no—
1201C4⋊C4—441no—
1202C4⋊C4—441no—
1203C4⋊C4—441no—
1204C4⋊C4—441no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
1210C22⋊C4—22no—
1211C22⋊C4—41no—
1212C22⋊C4—41no—
1213C22⋊C4—41no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—222no—
1218C22⋊C4—222no—
1219C22⋊C4—222no—
1220C22⋊C4—222no—
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—441no—
1230C22⋊C4—441no—
1231C22⋊C4—441no—
1232C22⋊C4—441no—
1233C22⋊C4—441no—
1234C22⋊C4—441no—
1235C22⋊C4—441no—
1236C22⋊C4—441no—
1237C22⋊C4—441no—
1238C22⋊C4—441no—
1239C22⋊C4—441no—
1240C22⋊C4—441no—
1241C22⋊C4—441no—
1242C22⋊C4—441no—
1243C22⋊C4—441no—
1244C22⋊C4—441no—
1245C42—222no—
1246C42—222no—
1247C42—441no—
1248C42—441no—
1249C42—441no—
1250C42—441no—
1251C42—441no—
1252C11#3678011yescharacteristic, complemented, Sylow
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—28no—
1270C23—44no—
1271C23—44no—
1272C23—82no—
1273C23—82no—
1274C23—82no—
1275C23—82no—
1276C23—221no—
1277C23—221no—
1278C23—221no—
1279C23—221no—
1280C23—221no—
1281C23—221no—
1282C23—221no—
1283C23C2×#433912yes—
1284C23C2×#433912yes—
1285C23C2×#433912yes—
1286C23#6703712yes—
1287C23#6704012yes—
1288C23C24×D1111yescharacteristic
1289Q8—882no—
1290D4—444no—
1291D4—882no—
1292D4—882no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
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—44no—
1330C2×C4—82no—
1331C2×C4—82no—
1332C2×C4—82no—
1333C2×C4—82no—
1334C2×C4—82no—
1335C2×C4—112no—
1336C2×C4—221no—
1337C2×C4—221no—
1338C2×C4—221no—
1339C2×C4—221no—
1340C2×C4—221no—
1341C2×C4—221no—
1342C2×C4—221no—
1343C2×C4—221no—
1344C2×C4—221no—
1345C2×C4—221no—
1346C2×C4—221no—
1347C2×C4—221no—
1348C2×C4—221no—
1349C2×C4—221no—
1350C2×C4—221no—
1351C2×C4—221no—
1352C2×C4—221no—
1353C2×C4—221no—
1354C2×C4—221no—
1355C2×C4—221no—
1356C2×C4—221no—
1357C2×C4—221no—
1358C2×C4—221no—
1359C2×C4—221no—
1360C2×C4—221no—
1361C2×C4—221no—
1362C2×C4—221no—
1363C2×C4—221no—
1364C2×C4—221no—
1365C2×C4—221no—
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—444no—
1381C2×C4—444no—
1382C2×C4—444no—
1383C2×C4—882no—
1384C2×C4—882no—
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—22no—
1389C22—22no—
1390C22—22no—
1391C22—22no—
1392C22—22no—
1393C22—22no—
1394C22—22no—
1395C22—22no—
1396C22—22no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—88no—
1406C22—441no—
1407C22—441no—
1408C22—441no—
1409C22—441no—
1410C22—441no—
1411C22—441no—
1412C22—441no—
1413C22#1062304614yes—
1414C22C22×#433911yescharacteristic
1415C22C2×#6703711yescharacteristic
1416C22C2×#6704011yescharacteristic
1417C22D11×H(5,𝔽2)11yescharacteristic
1418C22#1062345511yescharacteristic
1419C22#1062345511yescharacteristic
1420C22#1062345511yescharacteristic
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—222no—
1434C4—441no—
1435C4—441no—
1436C4—441no—
1437C4—441no—
1438C4—441no—
1439C4—441no—
1440C4—441no—
1441C4—441no—
1442C4—441no—
1443C4—441no—
1444C4—441no—
1445C4—441no—
1446C4—441no—
1447C4—441no—
1448C2—24no—
1449C2—42no—
1450C2—42no—
1451C2—881no—
1452C2C2×#1062304611yescharacteristic
1453C2#1308230911yescharacteristic
1454C2#1308244611yescharacteristic
1455C2#1308283011yescharacteristic
1456C2#1308292711yescharacteristic
1457C2#1308296511yescharacteristic
1458C2#1308323011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2315C2
prime radicalC2×#67006C22
hypercenter#2315D11
hypocenterC11#36780
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2315

Complements

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

NH ≅ G/Ntype
1. #13076933C2semidirect
2. #13076922C2semidirect
3. #13076336C2semidirect
4. #13076291C2semidirect
5. #13076117C2semidirect
6. #13076117C2semidirect
7. #13075819C2semidirect
8. #13075797C2semidirect
9. #13075781C2semidirect
10. #13075766C2semidirect
11. #13075766C2semidirect
12. #13075751C2semidirect
13. #13075682C2semidirect
14. #13075667C2semidirect
15. #13075536C2semidirect
16. #13075151C2semidirect
17. #13075136C2semidirect
18. #13075086C2semidirect
19. #13074435C2semidirect
20. #13074402C2semidirect
21. #13073119C2semidirect
22. #13073003C2semidirect
23. #13072894C2semidirect
24. #13072442C2semidirect
25. #13072277C2semidirect
26. #13072095C2semidirect
30. C2×#10622558C2semidirect
31. C11×#2315C2semidirect
43. C2×#66951C22semidirect
44. C2×#66942C22semidirect
79. #10622607C22semidirect
80. #10622606C22semidirect
81. #10622605C22semidirect
82. #10622605C22semidirect
83. #10622603C22semidirect
84. #10622602C22semidirect
85. #10622602C22semidirect
86. #10622599C22semidirect
87. #10622597C22semidirect
88. #10622597C22semidirect
89. #10622597C22semidirect
90. #10622596C22semidirect
91. #10622595C22semidirect
92. #10622595C22semidirect
93. #10622594C22semidirect
94. #10622594C22semidirect
95. #10622594C22semidirect
96. #10622594C22semidirect
97. #10622594C22semidirect
98. #10622594C22semidirect
99. #10622593C22semidirect
100. #10622593C22semidirect
101. #10622593C22semidirect
102. #10622592C22semidirect
103. #10622592C22semidirect
104. #10622591C22semidirect
105. #10622591C22semidirect
106. #10622591C22semidirect
107. #10622591C22semidirect
108. #10622585C22semidirect
155. #10622288C22semidirect
156. #10622288C22semidirect
157. #10622288C22semidirect
158. #10622286C22semidirect
159. #10622283C22semidirect
160. #10622282C22semidirect
161. #10622280C22semidirect
162. #10622277C22semidirect
163. C11⋊#401C22semidirect
164. #10622273C22semidirect
165. #10622273C22semidirect
166. #10622273C22semidirect
167. #10622273C22semidirect
168. #10622272C22semidirect
169. #10622271C22semidirect
170. #10622271C22semidirect
171. #10622271C22semidirect
172. #10622271C22semidirect
173. #10622270C22semidirect
174. #10622270C22semidirect
175. #10622268C22semidirect
176. #10622267C22semidirect
177. #10622267C22semidirect
178. #10622266C22semidirect
179. #10622265C22semidirect
180. #10622264C22semidirect
181. #10622264C22semidirect
182. #10622263C22semidirect
183. #10622263C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
553. #2315D11semidirect
1252. C11#36780semidirect

Maximal subgroups

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

subgroupindex
#130769332
#130769222
#130763362
#130762912
#130761172
#130758192
#130757972
#130757812
#130757662
#130757512
#130756822
#130756672
#130755362
#130751512
#130751362
#130750862
#130744352
#130744022
#130731192
#130730032
#130728942
#130724422
#130722772
#130720952
#130720122
#130720062
#130712742
C2×#106225582
C11×#23152
#3678011