Finite Group Databasebeta

← #14960909

Subgroups — #14960909

Order 2816.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1542 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076911C211yesmaximal, characteristic, complemented
2#13076909C211yesmaximal, characteristic, complemented
3#13075793C211yesmaximal, characteristic, complemented
4#13075775C211yesmaximal, characteristic, complemented
5#13075755C211yesmaximal, characteristic, complemented
6#13075710C211yesmaximal, characteristic, complemented
7#13075696C211yesmaximal, characteristic, complemented
8#13075688C211yesmaximal, characteristic, complemented
9#13075678C211yesmaximal, characteristic, complemented
10#13075323C211yesmaximal, characteristic, complemented
11#13075304C211yesmaximal, characteristic, complemented
12#13075290C211yesmaximal, characteristic, complemented
13#13075173C211yesmaximal, characteristic, complemented
14#13075154C211yesmaximal, characteristic, complemented
15#13075134C211yesmaximal, characteristic, complemented
16#13075126C211yesmaximal, characteristic, complemented
17#13075032C211yesmaximal, characteristic, complemented
18#13074420C211yesmaximal, characteristic, complemented
19#13074351C211yesmaximal, characteristic
20#13073171C211yesmaximal, characteristic, complemented
21#13073124C211yesmaximal, characteristic, complemented
22#13072881C211yesmaximal, characteristic, complemented
23#13072752C211yesmaximal, characteristic, complemented
24#13072437C211yesmaximal, characteristic, complemented
25#13072418C211yesmaximal, characteristic, complemented
26#13072367C211yesmaximal, characteristic, complemented
27#13072356C211yesmaximal, characteristic, complemented
28#13071278C211yesmaximal, characteristic, complemented
29#13071269C211yesmaximal, characteristic, complemented
30D11×#380C211yesmaximal, characteristic, complemented
31C11×#2745C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×#66999C2211yescharacteristic
34C2×#66999C2211yescharacteristic, complemented
35C2×#66982C2211yescharacteristic
36C2×#66948C2211yescharacteristic
37C2×#66947C2211yescharacteristic
38C2×#66947C2211yescharacteristic
39C2×#66947C2211yescharacteristic, complemented
40C2×#66946C2211yescharacteristic
41C2×C4⋊C4×D11C2211yescharacteristic
42C2×C4⋊C4×D11C2211yescharacteristic
43C2×#66943C2211yescharacteristic, complemented
44C2×#66939C2211yescharacteristic
45C2×#66935C2211yescharacteristic
46C2×#66935C2211yescharacteristic
47C2×C22⋊C4×D11C2211yescharacteristic
48C2×C22⋊C4×D11C2211yescharacteristic
49C2×#66929C2211yescharacteristic, complemented
50C2×C4×D44C2211yescharacteristic
51C11×#401C2211yescharacteristic, complemented
52C11×#400C2211yescharacteristic, complemented
53C11×#400C2211yescharacteristic, complemented
54C11×#397C2211yescharacteristic
55C11×#395C2211yescharacteristic, complemented
56C11×#393C2211yescharacteristic
57C11×#391C2211yescharacteristic, complemented
58C11×#388C2211yescharacteristic
59C11×#388C2211yescharacteristic
60C11×#387C2211yescharacteristic, complemented
61C11×#387C2211yescharacteristic, complemented
62C11×#387C2211yescharacteristic, complemented
63C11×#385C2211yescharacteristic
64C11×#381C2211yescharacteristic
65C11×#380C2211yescharacteristic
66#10622844C2211yescharacteristic
67#10622844C2211yescharacteristic, complemented
68#10622826C2211yescharacteristic
69#10622825C2211yescharacteristic
70#10622607C2211yescharacteristic, complemented
71#10622607C2211yescharacteristic, complemented
72#10622607C2211yescharacteristic, complemented
73#10622606C2211yescharacteristic
74#10622606C2211yescharacteristic, complemented
75#10622605C2211yescharacteristic, complemented
76#10622603C2211yescharacteristic
77#10622603C2211yescharacteristic, complemented
78#10622602C2211yescharacteristic
79#10622602C2211yescharacteristic
80#10622602C2211yescharacteristic
81#10622601C2211yescharacteristic
82#10622600C2211yescharacteristic
83#10622600C2211yescharacteristic
84#10622597C2211yescharacteristic, complemented
85#10622596C2211yescharacteristic, complemented
86#10622593C2211yescharacteristic, complemented
87#10622593C2211yescharacteristic, complemented
88#10622591C2211yescharacteristic, complemented
89#10622591C2211yescharacteristic, complemented
90#10622573C2211yescharacteristic
91#10622572C2211yescharacteristic
92#10622572C2211yescharacteristic
93#10622571C2211yescharacteristic
94#10622570C2211yescharacteristic
95#10622570C2211yescharacteristic
96#10622569C2211yescharacteristic
97#10622569C2211yescharacteristic
98#10622568C2211yescharacteristic
99#10622568C2211yescharacteristic
100#10622564C2211yescharacteristic
101#10622564C2211yescharacteristic
102#10622562C2211yescharacteristic
103#10622561C2211yescharacteristic
104#10622561C2211yescharacteristic
105#10622559C2211yescharacteristic
106#10622556C2211yescharacteristic
107#10622555C2211yescharacteristic
108#10622555C2211yescharacteristic
109#10622553C2211yescharacteristic
110#10622553C2211yescharacteristic, complemented
111#10622552C2211yescharacteristic
112C4×(C2×D11)⋊C4C2211yescharacteristic
113#10622546C2211yescharacteristic, complemented
114#10622541C2211yescharacteristic, complemented
115#10622290C2211yescharacteristic
116#10622290C2211yescharacteristic, complemented
117#10622289C2211yescharacteristic
118#10622289C2211yescharacteristic
119#10622288C2211yescharacteristic, complemented
120#10622288C2211yescharacteristic, complemented
121#10622288C2211yescharacteristic, complemented
122#10622287C2211yescharacteristic, complemented
123#10622287C2211yescharacteristic, complemented
124#10622285C2211yescharacteristic
125#10622285C2211yescharacteristic
126#10622285C2211yescharacteristic, complemented
127#10622285C2211yescharacteristic, complemented
128#10622284C2211yescharacteristic
129#10622283C2211yescharacteristic
130#10622283C2211yescharacteristic, complemented
131#10622283C2211yescharacteristic, complemented
132#10622282C2211yescharacteristic
133#10622282C2211yescharacteristic, complemented
134#10622281C2211yescharacteristic
135#10622281C2211yescharacteristic
136#10622281C2211yescharacteristic
137#10622281C2211yescharacteristic
138#10622281C2211yescharacteristic
139#10622281C2211yescharacteristic
140#10622281C2211yescharacteristic
141#10622281C2211yescharacteristic, complemented
142#10622281C2211yescharacteristic, complemented
143#10622281C2211yescharacteristic, complemented
144#10622280C2211yescharacteristic
145#10622280C2211yescharacteristic
146#10622280C2211yescharacteristic
147#10622280C2211yescharacteristic
148#10622280C2211yescharacteristic, complemented
149#10622279C2211yescharacteristic
150#10622278C2211yescharacteristic
151#10622278C2211yescharacteristic
152#10622278C2211yescharacteristic
153#10622278C2211yescharacteristic
154#10622278C2211yescharacteristic
155#10622278C2211yescharacteristic
156#10622278C2211yescharacteristic
157#10622278C2211yescharacteristic
158#10622278C2211yescharacteristic
159#10622278C2211yescharacteristic
160#10622278C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic, complemented
163#10622277C2211yescharacteristic
164#10622277C2211yescharacteristic
165#10622277C2211yescharacteristic, complemented
166D11×#95C2211yescharacteristic
167D11×#95C2211yescharacteristic
168#10622274C2211yescharacteristic, complemented
169#10622273C2211yescharacteristic, complemented
170#10622273C2211yescharacteristic, complemented
171#10622273C2211yescharacteristic, complemented
172#10622273C2211yescharacteristic, complemented
173#10622272C2211yescharacteristic, complemented
174#10622271C2211yescharacteristic, complemented
175#10622271C2211yescharacteristic, complemented
176#10622270C2211yescharacteristic, complemented
177#10622270C2211yescharacteristic, complemented
178#10622268C2211yescharacteristic, complemented
179#10622267C2211yescharacteristic, complemented
180#10622266C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622265C2211yescharacteristic, complemented
183#10622264C2211yescharacteristic, complemented
184#10622263C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C22×D44C2311yescharacteristic
194C22×D44C2311yescharacteristic
195C22×D44C2311yescharacteristic
196C22×D44C2311yescharacteristic
197C22×D44C2311yescharacteristic
198C22×C4×D11—24no—
199C22×C4×D11—42no—
200C22×C4×D11—42no—
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊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×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230#66999—42no—
231#66999—42no—
232#66982—42no—
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300#66948—42no—
301#66947—42no—
302#66947—42no—
303#66947—42no—
304#66946—42no—
305C4⋊C4×D11—42no—
306C4⋊C4×D11—42no—
307#66943—42no—
308#66939—42no—
309#66935—24no—
310#66935—24no—
311C22⋊C4×D11—42no—
312C22⋊C4×D11—42no—
313#66929—42no—
314C4×D44—42no—
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363#36726—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C23×D11—22no—
366C23×D11—22no—
367C23×D11—41no—
368C23×D11—41no—
369C23×D11—41no—
370C23×D11—41no—
371C23×D11#4114yes—
372C23×D11C2411yescharacteristic
373C23×D11C2411yescharacteristic
374C23×D11C2411yescharacteristic
375C23×D11C2411yescharacteristic
376C2×Q8×C11—41no—
377C2×Q8×C11—41no—
378C2×Q8×C11—41no—
379C22×C4×C11—22no—
380C22×C4×C11—22no—
381C22×C4×C11—41no—
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C2×C22⋊D11—22no—
397C2×C22⋊D11—22no—
398C2×C22⋊D11—41no—
399C2×C22⋊D11—41no—
400C2×C22⋊D11—41no—
401C2×C22⋊D11—41no—
402C22×Dic11—22no—
403C22×Dic11—22no—
404C22×Dic11—41no—
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C2×D44—22no—
418C2×D44—22no—
419C2×D44—22no—
420C2×D44—22no—
421C2×D44—22no—
422C2×D44—22no—
423C2×D44—22no—
424C2×D44—22no—
425C2×D44—41no—
426C2×D44—41no—
427C2×D44—41no—
428C2×D44—41no—
429C2×D44—41no—
430C2×D44—41no—
431C2×D44—41no—
432C2×C4×D11—22no—
433C2×C4×D11—22no—
434C2×C4×D11—22no—
435C2×C4×D11—22no—
436C2×C4×D11—22no—
437C2×C4×D11—22no—
438C2×C4×D11—22no—
439C2×C4×D11—22no—
440C2×C4×D11—22no—
441C2×C4×D11—22no—
442C2×C4×D11—22no—
443C2×C4×D11—22no—
444C2×C4×D11—41no—
445C2×C4×D11—41no—
446C2×C4×D11—41no—
447C2×C4×D11—41no—
448C2×C4×D11—41no—
449C2×C4×D11—41no—
450C2×C4×D11—41no—
451C2×C4×D11—41no—
452C2×C4×D11—41no—
453C2×C4×D11—41no—
454C2×C4×D11—41no—
455C2×C4×D11—41no—
456C2×C4×D11—41no—
457C2×C4×D11—41no—
458C2×C4×D11—41no—
459C2×C4×D11—41no—
460C2×C4×D11—41no—
461C2×C4×D11—41no—
462C2×C4×D11—416no—
463C11×C4⋊C4—22no—
464C11×C4⋊C4—22no—
465C11×C4⋊C4—41no—
466C11×C4⋊C4—41no—
467C11×C4⋊C4—41no—
468C11×C4⋊C4—41no—
469C11×C4⋊C4—41no—
470C11×C22⋊C4—22no—
471C11×C22⋊C4—22no—
472C11×C22⋊C4—41no—
473C11×C22⋊C4—41no—
474C11×C22⋊C4—41no—
475C11×C22⋊C4—41no—
476C42×C11—41no—
477C42×C11—41no—
478C22⋊Dic11—41no—
479C22⋊Dic11—41no—
480C22⋊Dic11—41no—
481C22⋊Dic11—41no—
482(C2×D11)⋊C4—22no—
483(C2×D11)⋊C4—22no—
484(C2×D11)⋊C4—22no—
485(C2×D11)⋊C4—22no—
486(C2×D11)⋊C4—22no—
487(C2×D11)⋊C4—22no—
488(C2×D11)⋊C4—22no—
489(C2×D11)⋊C4—22no—
490(C2×D11)⋊C4—22no—
491(C2×D11)⋊C4—22no—
492(C2×D11)⋊C4—22no—
493(C2×D11)⋊C4—22no—
494(C2×D11)⋊C4—41no—
495(C2×D11)⋊C4—41no—
496(C2×D11)⋊C4—41no—
497(C2×D11)⋊C4—41no—
498(C2×D11)⋊C4—41no—
499(C2×D11)⋊C4—41no—
500(C2×D11)⋊C4—41no—
501(C2×D11)⋊C4—41no—
502(C2×D11)⋊C4—41no—
503(C2×D11)⋊C4—41no—
504(C2×D11)⋊C4—41no—
505(C2×D11)⋊C4—41no—
506(C2×D11)⋊C4—41no—
507(C2×D11)⋊C4—41no—
508(C2×D11)⋊C4—41no—
509(C2×D11)⋊C4—41no—
510(C2×D11)⋊C4—41no—
511(C2×D11)⋊C4—41no—
512(C2×D11)⋊C4—41no—
513(C2×D11)⋊C4—41no—
514(C2×D11)⋊C4—41no—
515(C2×D11)⋊C4—41no—
516(C2×D11)⋊C4—41no—
517(C2×D11)⋊C4—41no—
518C4⋊Dic11—22no—
519C4⋊Dic11—22no—
520C4⋊Dic11—41no—
521C4⋊Dic11—41no—
522C4⋊Dic11—41no—
523C4⋊Dic11—41no—
524C4⋊Dic11—41no—
525C4⋊Dic11—41no—
526C4⋊Dic11—41no—
527Dic11⋊C4—22no—
528Dic11⋊C4—22no—
529Dic11⋊C4—22no—
530Dic11⋊C4—22no—
531Dic11⋊C4—41no—
532Dic11⋊C4—41no—
533Dic11⋊C4—41no—
534Dic11⋊C4—41no—
535Dic11⋊C4—41no—
536Dic11⋊C4—41no—
537Dic11⋊C4—41no—
538Dic11⋊C4—41no—
539Dic11⋊C4—41no—
540Dic11⋊C4—41no—
541Dic11⋊C4—41no—
542Dic11⋊C4—41no—
543Dic11⋊C4—41no—
544Dic11⋊C4—41no—
545C4×Dic11—41no—
546C4×Dic11—41no—
547C4×Dic11—41no—
548C4×Dic11—41no—
549#2849—111no—
550#2849—111no—
551#2746—111no—
552#2745D1111yescharacteristic, complemented
553#2744—111no—
554#2743—111no—
555#2740—111no—
556#2739—111no—
557#2738—111no—
558#2737—111no—
559#2707—111no—
560#2706—111no—
561#2705—111no—
562#2696—111no—
563#2695—111no—
564#2694—111no—
565#2693—111no—
566#2687—111no—
567#2626—111no—
568#2617—111no—
569#2510—111no—
570#2505—111no—
571#2481—111no—
572#2473—111no—
573#2450—111no—
574#2449—111no—
575#2444—111no—
576#2443—111no—
577#2321—111no—
578#2321—111no—
579C2×#380—111no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11C2×#4112yes—
587C23×C11C2511yescharacteristic
588C22×D11—21no—
589C22×D11—21no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—21no—
596C22×D11—21no—
597C22×D11—21no—
598C22×D11—28no—
599C22×D11—21no—
600C22×D11—21no—
601C22×D11—21no—
602C22×D11—21no—
603C22×D11—21no—
604C22×D11—21no—
605C22×D11—21no—
606C22×D11—21no—
607C22×D11—21no—
608C22×D11—21no—
609C22×D11—21no—
610C22×D11—21no—
611C22×D11—21no—
612C22×D11—21no—
613C22×D11—44no—
614C22×D11—44no—
615C22×D11—44no—
616C22×D11—44no—
617C22×D11—44no—
618C22×D11—44no—
619C22×D11C2×#4112yes—
620C22×D11C2×#4112yes—
621C22×D11H(5,𝔽2)12yes—
622C22×D112−1+412yes—
623Q8×C11—82no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—44no—
666C2×C4×C11H(5,𝔽2)12yes—
667C22⋊D11—82no—
668C22⋊D11—82no—
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—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—44no—
705C2×Dic11H(5,𝔽2)12yes—
706D44—44no—
707D44—44no—
708D44—82no—
709D44—82no—
710D44—82no—
711C4×D11—28no—
712C4×D11—44no—
713C4×D11—44no—
714C4×D11—44no—
715C4×D11—82no—
716C4×D11—82no—
717C4×D11—82no—
718C4×D11—82no—
719C4×D11—82no—
720C4×D11—82no—
721C24×C4—111no—
722C2×#126—111no—
723C2×#125—111no—
724C2×#123—111no—
725C2×#123—111no—
726C2×#123—111no—
727C2×#123—111no—
728C2×#123—111no—
729C2×C22⋊Q8—111no—
730C2×C22⋊Q8—111no—
731C2×#121—111no—
732C2×#120—111no—
733C2×#120—111no—
734C2×C4×D4—111no—
735C2×C4×D4—111no—
736C22×C4⋊C4—111no—
737C22×C4⋊C4—111no—
738C22×C22⋊C4—111no—
739C22×C22⋊C4—111no—
740#401C2×D1111yescharacteristic, complemented
741#400—111no—
742#400—111no—
743#400—111no—
744#400—111no—
745#400—111no—
746#400—111no—
747#400—111no—
748#400C2×D1111yescharacteristic, complemented
749#400C2×D1111yescharacteristic, complemented
750#399—111no—
751#399—111no—
752#399—111no—
753#399—111no—
754#398—111no—
755#398—111no—
756#398—111no—
757#398—111no—
758#398—111no—
759#398—111no—
760#398—111no—
761#397—111no—
762#397—111no—
763#397—111no—
764#397—111no—
765#397—111no—
766#397—111no—
767#397—111no—
768#397C2×D1111yescharacteristic
769#396—111no—
770#396—111no—
771#396—111no—
772#396—111no—
773#396—111no—
774#396—111no—
775#396—111no—
776#395C2×D1111yescharacteristic, complemented
777#394—111no—
778#394—111no—
779#394—111no—
780#394—111no—
781#394—111no—
782#394—111no—
783#393—111no—
784#393—111no—
785#393C2×D1111yescharacteristic
786#392—111no—
787#392—111no—
788#391C2×D1111yescharacteristic, complemented
789#390—111no—
790#390—111no—
791#390—111no—
792#390—111no—
793#389—111no—
794#389—111no—
795#389—111no—
796#388—111no—
797#388—111no—
798#388—111no—
799#388—111no—
800#388—111no—
801#388—111no—
802#388—111no—
803#388—111no—
804#388—111no—
805#388—111no—
806#388—111no—
807#388C2×D1111yescharacteristic
808#388C2×D1111yescharacteristic
809#387—111no—
810#387—111no—
811#387—111no—
812#387—111no—
813#387—111no—
814#387—111no—
815#387—111no—
816#387—111no—
817#387C2×D1111yescharacteristic, complemented
818#387C2×D1111yescharacteristic, complemented
819#387C2×D1111yescharacteristic, complemented
820#386—111no—
821#386—111no—
822#386—111no—
823#386—111no—
824#386—111no—
825#386—111no—
826#386—111no—
827#386—111no—
828#386—111no—
829#386—111no—
830#386—111no—
831#386—111no—
832#386—111no—
833#386—111no—
834#386—111no—
835#386—111no—
836#386—111no—
837#385—111no—
838#385—111no—
839#385—111no—
840#385—111no—
841#385—111no—
842#385—111no—
843#385—111no—
844#385—111no—
845#385—111no—
846#385—111no—
847#385—111no—
848#385—111no—
849#385—111no—
850#385—111no—
851#385C2×D1111yescharacteristic
852#383—111no—
853#382—111no—
854#381—111no—
855#381—111no—
856#381—111no—
857#381—111no—
858#381C2×D1111yescharacteristic
859#380—111no—
860#380—111no—
861#380—111no—
862#380—111no—
863#380—111no—
864#380—111no—
865#380—111no—
866#380—111no—
867#380—111no—
868#380—111no—
869#380C2×D1111yescharacteristic
870#379—111no—
871#379—111no—
872C4×C22⋊C4—111no—
873C4×C22⋊C4—111no—
874C2×#95—111no—
875C2×#95—111no—
876C22×C11—22no—
877C22×C11—22no—
878C22×C11—22no—
879C22×C11—41no—
880C22×C11—41no—
881C22×C11—41no—
882C22×C11—41no—
883C22×C11C22×#4111yescharacteristic
884C22×C11C2×H(5,𝔽2)11yescharacteristic
885C22×C11C2×H(5,𝔽2)11yescharacteristic
886C22×C11C2×H(5,𝔽2)11yescharacteristic
887C22×C11C2×2−1+411yescharacteristic
888C22×C11#58511yescharacteristic
889C22×C11#58511yescharacteristic
890C2×D11—22no—
891C2×D11—22no—
892C2×D11—22no—
893C2×D11—22no—
894C2×D11—22no—
895C2×D11—22no—
896C2×D11—22no—
897C2×D11—22no—
898C2×D11—22no—
899C2×D11—416no—
900C2×D11—41no—
901C2×D11—41no—
902C2×D11—41no—
903C2×D11—41no—
904C2×D11—41no—
905C2×D11—41no—
906C2×D11—41no—
907C2×D11—41no—
908C2×D11—41no—
909C2×D11—41no—
910C2×D11—41no—
911C2×D11—41no—
912C2×D11—41no—
913C2×D11—41no—
914C2×D11—41no—
915C2×D11—41no—
916C2×D11—41no—
917C2×D11—41no—
918C2×D11#53914yes—
919C4×C11—22no—
920C4×C11—41no—
921C4×C11—41no—
922C4×C11—41no—
923C4×C11—41no—
924C4×C11—41no—
925C4×C11—41no—
926C4×C11—41no—
927C4×C11—41no—
928C4×C11—41no—
929C4×C11—41no—
930C4×C11—41no—
931C4×C11—41no—
932C4×C11—41no—
933Dic11—22no—
934Dic11—41no—
935Dic11—41no—
936Dic11—41no—
937Dic11—41no—
938Dic11—41no—
939Dic11—41no—
940Dic11—41no—
941Dic11—41no—
942Dic11—41no—
943Dic11—41no—
944Dic11—41no—
945C25—111no—
946C22×Q8C22×D1111yescharacteristic
947C22×D4—111no—
948C22×D4—111no—
949C22×D4—111no—
950C22×D4—111no—
951C22×D4—111no—
952C22×D4—111no—
953C22×D4—111no—
954C23×C4—111no—
955C23×C4—111no—
956C23×C4—111no—
957C23×C4—111no—
958C23×C4—111no—
959C23×C4—111no—
960C23×C4—111no—
961C23×C4—111no—
962C23×C4—111no—
963C23×C4—111no—
964C23×C4—111no—
965C23×C4—224no—
966C23×C4—442no—
967C23×C4—442no—
968C23×C4C22×D1111yescharacteristic
969#126—442no—
970#125—442no—
971#123—442no—
972#123—442no—
973#123—442no—
974#123—442no—
975#123—442no—
976C22⋊Q8—442no—
977C22⋊Q8—442no—
978#121—442no—
979#120—224no—
980#120—224no—
981C4×D4—442no—
982C4×D4—442no—
983C2×C4⋊C4—111no—
984C2×C4⋊C4—111no—
985C2×C4⋊C4—111no—
986C2×C4⋊C4—111no—
987C2×C4⋊C4—111no—
988C2×C4⋊C4—111no—
989C2×C4⋊C4—111no—
990C2×C4⋊C4—111no—
991C2×C4⋊C4—111no—
992C2×C4⋊C4—111no—
993C2×C4⋊C4—111no—
994C2×C4⋊C4—111no—
995C2×C4⋊C4—111no—
996C2×C4⋊C4—111no—
997C2×C4⋊C4—111no—
998C2×C4⋊C4—111no—
999C2×C4⋊C4—111no—
1000C2×C4⋊C4—111no—
1001C2×C4⋊C4—111no—
1002C2×C4⋊C4—111no—
1003C2×C4⋊C4—111no—
1004C2×C4⋊C4—111no—
1005C2×C4⋊C4—111no—
1006C2×C4⋊C4—111no—
1007C2×C4⋊C4—111no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
1010C2×C4⋊C4—442no—
1011C2×C4⋊C4—442no—
1012C2×C4⋊C4C22×D1111yescharacteristic
1013C2×C4⋊C4C22×D1111yescharacteristic
1014C2×C4⋊C4C22×D1111yescharacteristic
1015C2×C4⋊C4C22×D1111yescharacteristic
1016C2×C4⋊C4C22×D1111yescharacteristic
1017C2×C4⋊C4C22×D1111yescharacteristic
1018C2×C4⋊C4C22×D1111yescharacteristic
1019C2×C22⋊C4—111no—
1020C2×C22⋊C4—111no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4—111no—
1023C2×C22⋊C4—111no—
1024C2×C22⋊C4—111no—
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—111no—
1029C2×C22⋊C4—111no—
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—111no—
1035C2×C22⋊C4—111no—
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—442no—
1060C2×C22⋊C4—442no—
1061C2×C22⋊C4C22×D1111yescharacteristic
1062C2×C22⋊C4C22×D1111yescharacteristic
1063C2×C22⋊C4C22×D1111yescharacteristic
1064C2×C22⋊C4C22×D1111yescharacteristic
1065C2×C22⋊C4C22×D1111yescharacteristic
1066C2×C22⋊C4C22×D1111yescharacteristic
1067C2×C42—111no—
1068C2×C42—111no—
1069C2×C42—111no—
1070C2×C42—111no—
1071C2×C42C22×D1111yescharacteristic
1072C2×C42C22×D1111yescharacteristic
1073#95—111no—
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95—111no—
1082#95—111no—
1083#95—111no—
1084#95—111no—
1085#95—111no—
1086#95—111no—
1087#95—111no—
1088#95—111no—
1089#95—111no—
1090#95—111no—
1091#95—111no—
1092#95—111no—
1093#95—111no—
1094#95—111no—
1095#95—111no—
1096#95—111no—
1097#95—111no—
1098#95—111no—
1099#95—111no—
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95C22×D1111yescharacteristic
1104#95C22×D1111yescharacteristic
1105#95C22×D1111yescharacteristic
1106#95C22×D1111yescharacteristic
1107#95C22×D1111yescharacteristic
1108#95C22×D1111yescharacteristic
1109#95C22×D1111yescharacteristic
1110#95C22×D1111yescharacteristic
1111#95C22×D1111yescharacteristic
1112#95C22×D1111yescharacteristic
1113#95C22×D1111yescharacteristic
1114#95C22×D1111yescharacteristic
1115#95C22×D1111yescharacteristic
1116#95C22×D1111yescharacteristic
1117#95C22×D1111yescharacteristic
1118#95C22×D1111yescharacteristic
1119#95C22×D1111yescharacteristic
1120#95C22×D1111yescharacteristic
1121C2×C11—42no—
1122C2×C11C2×#53911yescharacteristic
1123C2×C11#349011yescharacteristic
1124C2×C11#349111yescharacteristic
1125C2×C11#354111yescharacteristic
1126C2×C11#354111yescharacteristic
1127C2×C11#354211yescharacteristic
1128C2×C11#354211yescharacteristic
1129D11—24no—
1130D11—42no—
1131D11—81no—
1132D11—81no—
1133C24—111no—
1134C24—111no—
1135C24—114no—
1136C24—111no—
1137C24—111no—
1138C24—222no—
1139C24—222no—
1140C24—441no—
1141C24—441no—
1142C24—441no—
1143C24—441no—
1144C24C23×D1111yescharacteristic
1145C2×Q8—41no—
1146C2×Q8—41no—
1147C2×Q8—41no—
1148C2×D4—222no—
1149C2×D4—222no—
1150C2×D4—222no—
1151C2×D4—222no—
1152C2×D4—222no—
1153C2×D4—222no—
1154C2×D4—222no—
1155C2×D4—222no—
1156C2×D4—222no—
1157C2×D4—222no—
1158C2×D4—441no—
1159C2×D4—441no—
1160C2×D4—441no—
1161C2×D4—441no—
1162C2×D4—441no—
1163C2×D4—441no—
1164C2×D4—441no—
1165C2×D4—441no—
1166C2×D4—441no—
1167C2×D4—441no—
1168C2×D4—441no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—41no—
1172C22×C4—111no—
1173C22×C4—111no—
1174C22×C4—111no—
1175C22×C4—111no—
1176C22×C4—111no—
1177C22×C4—111no—
1178C22×C4—111no—
1179C22×C4—111no—
1180C22×C4—111no—
1181C22×C4—111no—
1182C22×C4—111no—
1183C22×C4—111no—
1184C22×C4—222no—
1185C22×C4—222no—
1186C22×C4—222no—
1187C22×C4—222no—
1188C22×C4—222no—
1189C22×C4—222no—
1190C22×C4—222no—
1191C22×C4—222no—
1192C22×C4—222no—
1193C22×C4—222no—
1194C22×C4—222no—
1195C22×C4—222no—
1196C22×C4—222no—
1197C22×C4—222no—
1198C22×C4—441no—
1199C22×C4—441no—
1200C22×C4—441no—
1201C22×C4—441no—
1202C22×C4—441no—
1203C22×C4—441no—
1204C22×C4—441no—
1205C22×C4—441no—
1206C22×C4—441no—
1207C22×C4—441no—
1208C22×C4—441no—
1209C22×C4—441no—
1210C22×C4—441no—
1211C22×C4—441no—
1212C22×C4—441no—
1213C22×C4—441no—
1214C22×C4—441no—
1215C22×C4—441no—
1216C22×C4—4416no—
1217C22×C4—441no—
1218C22×C4C23×D1111yescharacteristic
1219C22×C4C23×D1111yescharacteristic
1220C22×C4C23×D1111yescharacteristic
1221C22×C4C23×D1111yescharacteristic
1222C22×C4C23×D1111yescharacteristic
1223C22×C4C23×D1111yescharacteristic
1224C22×C4C23×D1111yescharacteristic
1225C22×C4C23×D1111yescharacteristic
1226C22×C4C23×D1111yescharacteristic
1227C22×C4C23×D1111yescharacteristic
1228C22×C4C23×D1111yescharacteristic
1229C22×C4C23×D1111yescharacteristic
1230C22×C4C23×D1111yescharacteristic
1231C22×C4C23×D1111yescharacteristic
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—222no—
1240C4⋊C4—222no—
1241C4⋊C4—222no—
1242C4⋊C4—222no—
1243C4⋊C4—222no—
1244C4⋊C4—222no—
1245C4⋊C4—441no—
1246C4⋊C4—441no—
1247C4⋊C4—441no—
1248C4⋊C4—441no—
1249C4⋊C4—441no—
1250C4⋊C4—441no—
1251C4⋊C4—441no—
1252C4⋊C4—441no—
1253C4⋊C4—441no—
1254C4⋊C4—441no—
1255C4⋊C4—441no—
1256C4⋊C4—441no—
1257C4⋊C4—441no—
1258C4⋊C4—441no—
1259C4⋊C4—441no—
1260C4⋊C4—441no—
1261C4⋊C4—441no—
1262C4⋊C4—441no—
1263C4⋊C4—441no—
1264C4⋊C4—441no—
1265C4⋊C4—441no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—222no—
1273C22⋊C4—222no—
1274C22⋊C4—222no—
1275C22⋊C4—222no—
1276C22⋊C4—222no—
1277C22⋊C4—222no—
1278C22⋊C4—222no—
1279C22⋊C4—222no—
1280C22⋊C4—222no—
1281C22⋊C4—222no—
1282C22⋊C4—222no—
1283C22⋊C4—222no—
1284C22⋊C4—441no—
1285C22⋊C4—441no—
1286C22⋊C4—441no—
1287C22⋊C4—441no—
1288C22⋊C4—441no—
1289C22⋊C4—441no—
1290C22⋊C4—441no—
1291C22⋊C4—441no—
1292C22⋊C4—441no—
1293C22⋊C4—441no—
1294C22⋊C4—441no—
1295C22⋊C4—441no—
1296C22⋊C4—441no—
1297C22⋊C4—441no—
1298C22⋊C4—441no—
1299C22⋊C4—441no—
1300C22⋊C4—441no—
1301C22⋊C4—441no—
1302C22⋊C4—441no—
1303C22⋊C4—441no—
1304C22⋊C4—441no—
1305C22⋊C4—441no—
1306C22⋊C4—441no—
1307C22⋊C4—441no—
1308C22⋊C4—441no—
1309C22⋊C4—441no—
1310C22⋊C4—441no—
1311C22⋊C4—441no—
1312C42—41no—
1313C42—41no—
1314C42—441no—
1315C42—441no—
1316C42—441no—
1317C42—441no—
1318C11#3672611yescharacteristic, complemented, Sylow
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—112no—
1326C23—112no—
1327C23—112no—
1328C23—112no—
1329C23—228no—
1330C23—221no—
1331C23—221no—
1332C23—221no—
1333C23—221no—
1334C23—221no—
1335C23—221no—
1336C23—221no—
1337C23—221no—
1338C23—221no—
1339C23—221no—
1340C23—221no—
1341C23—221no—
1342C23—221no—
1343C23—221no—
1344C23—221no—
1345C23—221no—
1346C23—221no—
1347C23—221no—
1348C23—221no—
1349C23—221no—
1350C23—221no—
1351C23—221no—
1352C23—221no—
1353C23—221no—
1354C23—444no—
1355C23—444no—
1356C23—444no—
1357C23—444no—
1358C23—444no—
1359C23—444no—
1360C23#41×D1112yes—
1361C23C24×D1111yescharacteristic
1362Q8—82no—
1363D4—444no—
1364D4—444no—
1365D4—882no—
1366D4—882no—
1367D4—882no—
1368D4—882no—
1369D4—882no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—44no—
1412C2×C4—112no—
1413C2×C4—228no—
1414C2×C4—221no—
1415C2×C4—221no—
1416C2×C4—221no—
1417C2×C4—221no—
1418C2×C4—221no—
1419C2×C4—221no—
1420C2×C4—221no—
1421C2×C4—221no—
1422C2×C4—221no—
1423C2×C4—221no—
1424C2×C4—221no—
1425C2×C4—221no—
1426C2×C4—221no—
1427C2×C4—221no—
1428C2×C4—221no—
1429C2×C4—221no—
1430C2×C4—221no—
1431C2×C4—221no—
1432C2×C4—221no—
1433C2×C4—221no—
1434C2×C4—221no—
1435C2×C4—221no—
1436C2×C4—221no—
1437C2×C4—221no—
1438C2×C4—221no—
1439C2×C4—221no—
1440C2×C4—221no—
1441C2×C4—221no—
1442C2×C4—221no—
1443C2×C4—221no—
1444C2×C4—221no—
1445C2×C4—221no—
1446C2×C4—221no—
1447C2×C4—221no—
1448C2×C4—221no—
1449C2×C4—444no—
1450C2×C4—444no—
1451C2×C4—444no—
1452C2×C4—444no—
1453C2×C4—882no—
1454C2×C4—882no—
1455C2×C4—882no—
1456C2×C4—882no—
1457C2×C4—882no—
1458C2×C4—882no—
1459C2×C4#6704212yes—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—114no—
1468C22—222no—
1469C22—222no—
1470C22—222no—
1471C22—222no—
1472C22—222no—
1473C22—222no—
1474C22—222no—
1475C22—222no—
1476C22—222no—
1477C22—4416no—
1478C22—441no—
1479C22—441no—
1480C22—441no—
1481C22—441no—
1482C22—441no—
1483C22—441no—
1484C22—441no—
1485C22—441no—
1486C22—441no—
1487C22—441no—
1488C22—441no—
1489C22—441no—
1490C22—441no—
1491C22—441no—
1492C22—441no—
1493C22—441no—
1494C22—441no—
1495C22—441no—
1496C22C2×#41×D1111yescharacteristic
1497C22C2×#6704211yescharacteristic
1498C22#1062345311yescharacteristic
1499C22D11×H(5,𝔽2)11yescharacteristic
1500C22D11×H(5,𝔽2)11yescharacteristic
1501C22D11×2−1+411yescharacteristic
1502C22#1062345711yescharacteristic
1503C4—22no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—222no—
1518C4—441no—
1519C4—441no—
1520C4—441no—
1521C4—441no—
1522C4—441no—
1523C4—441no—
1524C4—441no—
1525C4—441no—
1526C4—441no—
1527C4—441no—
1528C4—441no—
1529C2—42no—
1530C2—224no—
1531C2—442no—
1532C2—881no—
1533C2—881no—
1534C2D11×#53911yescharacteristic
1535C2#1308230011yescharacteristic
1536C2#1308231111yescharacteristic
1537C2#1308290611yescharacteristic
1538C2#1308291611yescharacteristic
1539C2#1308292811yescharacteristic
1540C2#1308293111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2745C2
prime radical#13074351C2
hypercenter#2745D11
hypocenterC11#36726
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2745

Complements

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

NH ≅ G/Ntype
1. #13076911C2semidirect
2. #13076909C2semidirect
3. #13075793C2semidirect
4. #13075775C2semidirect
5. #13075755C2semidirect
6. #13075710C2semidirect
7. #13075696C2semidirect
8. #13075688C2semidirect
9. #13075678C2semidirect
10. #13075323C2semidirect
11. #13075304C2semidirect
12. #13075290C2semidirect
13. #13075173C2semidirect
14. #13075154C2semidirect
15. #13075134C2semidirect
16. #13075126C2semidirect
17. #13075032C2semidirect
18. #13074420C2semidirect
20. #13073171C2semidirect
21. #13073124C2semidirect
22. #13072881C2semidirect
23. #13072752C2semidirect
24. #13072437C2semidirect
25. #13072418C2semidirect
26. #13072367C2semidirect
27. #13072356C2semidirect
28. #13071278C2semidirect
29. #13071269C2semidirect
30. D11×#380C2semidirect
31. C11×#2745C2semidirect
34. C2×#66999C22semidirect
39. C2×#66947C22semidirect
43. C2×#66943C22semidirect
49. C2×#66929C22semidirect
51. C11×#401C22semidirect
52. C11×#400C22semidirect
53. C11×#400C22semidirect
55. C11×#395C22semidirect
57. C11×#391C22semidirect
60. C11×#387C22semidirect
61. C11×#387C22semidirect
62. C11×#387C22semidirect
67. #10622844C22semidirect
70. #10622607C22semidirect
71. #10622607C22semidirect
72. #10622607C22semidirect
74. #10622606C22semidirect
75. #10622605C22semidirect
77. #10622603C22semidirect
84. #10622597C22semidirect
85. #10622596C22semidirect
86. #10622593C22semidirect
87. #10622593C22semidirect
88. #10622591C22semidirect
89. #10622591C22semidirect
110. #10622553C22semidirect
113. #10622546C22semidirect
114. #10622541C22semidirect
116. #10622290C22semidirect
119. #10622288C22semidirect
120. #10622288C22semidirect
121. #10622288C22semidirect
122. #10622287C22semidirect
123. #10622287C22semidirect
126. #10622285C22semidirect
127. #10622285C22semidirect
130. #10622283C22semidirect
131. #10622283C22semidirect
133. #10622282C22semidirect
141. #10622281C22semidirect
142. #10622281C22semidirect
143. #10622281C22semidirect
148. #10622280C22semidirect
162. #10622278C22semidirect
165. #10622277C22semidirect
168. #10622274C22semidirect
169. #10622273C22semidirect
170. #10622273C22semidirect
171. #10622273C22semidirect
172. #10622273C22semidirect
173. #10622272C22semidirect
174. #10622271C22semidirect
175. #10622271C22semidirect
176. #10622270C22semidirect
177. #10622270C22semidirect
178. #10622268C22semidirect
179. #10622267C22semidirect
180. #10622266C22semidirect
181. #10622265C22semidirect
182. #10622265C22semidirect
183. #10622264C22semidirect
184. #10622263C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
552. #2745D11semidirect
740. #401C2×D11semidirect
748. #400C2×D11semidirect
749. #400C2×D11semidirect
776. #395C2×D11semidirect
788. #391C2×D11semidirect
817. #387C2×D11semidirect
818. #387C2×D11semidirect
819. #387C2×D11semidirect
1318. C11#36726semidirect

Maximal subgroups

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

subgroupindex
#130769112
#130769092
#130757932
#130757752
#130757552
#130757102
#130756962
#130756882
#130756782
#130753232
#130753042
#130752902
#130751732
#130751542
#130751342
#130751262
#130750322
#130744202
#130743512
#130731712
#130731242
#130728812
#130727522
#130724372
#130724182
#130723672
#130723562
#130712782
#130712692
D11×#3802
C11×#27452
#3672611