Finite Group Databasebeta

← #14960618

Subgroups — #14960618

Order 2816.

2422 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623260C211yesmaximal, characteristic, complemented
2C2×D11×#123C211yesmaximal, characteristic
3#13076902C211yesmaximal, characteristic, complemented
4#13076900C211yesmaximal, characteristic, complemented
5#13075142C211yesmaximal, characteristic, complemented
6#13075140C211yesmaximal, characteristic, complemented
7#13075139C211yesmaximal, characteristic, complemented
8#13075137C211yesmaximal, characteristic, complemented
9#13075135C211yesmaximal, characteristic, complemented
10#13075134C211yesmaximal, characteristic, complemented
11#13075133C211yesmaximal, characteristic, complemented
12#13075132C211yesmaximal, characteristic, complemented
13#13074903C211yesmaximal, characteristic, complemented
14#13074902C211yesmaximal, characteristic, complemented
15#13074896C211yesmaximal, characteristic, complemented
16#13074893C211yesmaximal, characteristic, complemented
17#13074892C211yesmaximal, characteristic, complemented
18#13074891C211yesmaximal, characteristic, complemented
19#13074890C211yesmaximal, characteristic, complemented
20#13074426C211yesmaximal, characteristic, complemented
21#13074420C211yesmaximal, characteristic, complemented
22#13073994C211yesmaximal, characteristic, complemented
23#13073992C211yesmaximal, characteristic, complemented
24#13072891C211yesmaximal, characteristic, complemented
25#13072888C211yesmaximal, characteristic, complemented
26#13072888C211yesmaximal, characteristic, complemented
27#13072885C211yesmaximal, characteristic, complemented
28#13072264C211yesmaximal, characteristic
29#13072262C211yesmaximal, characteristic
30#13071215C211yesmaximal, characteristic, complemented
31C11×#2674C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×C4⋊Q8C2211yescharacteristic, complemented
35C2×C11×#124C2211yescharacteristic
36C2×C11×#123C2211yescharacteristic
37C2×C11×C22⋊Q8C2211yescharacteristic, complemented
38C2×#67000C2211yescharacteristic
39C2×#66999C2211yescharacteristic
40C2×#66999C2211yescharacteristic
41C2×#66999C2211yescharacteristic, complemented
42C2×#66997C2211yescharacteristic, complemented
43C2×#66997C2211yescharacteristic, complemented
44C2×#66988C2211yescharacteristic
45C2×#66982C2211yescharacteristic
46#10623260—28no—
47D11×#123—28no—
48C2×#66949C2211yescharacteristic
49C2×#66949C2211yescharacteristic
50C2×#66949C2211yescharacteristic, complemented
51C2×#66947C2211yescharacteristic
52C2×#66947C2211yescharacteristic
53C2×#66945C2211yescharacteristic
54C2×C4⋊C4×D11C2211yescharacteristic
55C2×C4⋊C4×D11C2211yescharacteristic
56C2×#66943C2211yescharacteristic, complemented
57C2×#66942C2211yescharacteristic, complemented
58C2×#66942C2211yescharacteristic, complemented
59C2×#66941C2211yescharacteristic, complemented
60C2×#66939C2211yescharacteristic
61C2×#66938C2211yescharacteristic
62C2×#66938C2211yescharacteristic
63C2×#66936C2211yescharacteristic
64C2×#66936C2211yescharacteristic
65C2×C22⋊C4×D11C2211yescharacteristic
66C2×C22⋊C4×D11C2211yescharacteristic
67C2×C22⋊C4×D11C2211yescharacteristic
68C2×#66931C2211yescharacteristic, complemented
69C2×#66925C2211yescharacteristic
70C2×#66923C2211yescharacteristic, complemented
71C11×#399C2211yescharacteristic, complemented
72C11×#397C2211yescharacteristic, complemented
73C11×#396C2211yescharacteristic, complemented
74C11×#395C2211yescharacteristic, complemented
75C11×#394C2211yescharacteristic
76C11×#393C2211yescharacteristic, complemented
77C11×#389C2211yescharacteristic, complemented
78C11×#388C2211yescharacteristic, complemented
79C11×#388C2211yescharacteristic, complemented
80C11×#387C2211yescharacteristic, complemented
81C11×#385C2211yescharacteristic, complemented
82#10622844C2211yescharacteristic, complemented
83#10622842C2211yescharacteristic, complemented
84#10622835C2211yescharacteristic
85#10622834C2211yescharacteristic
86#10622825C2211yescharacteristic, complemented
87#10622823C2211yescharacteristic, complemented
88#10622607C2211yescharacteristic, complemented
89#10622607C2211yescharacteristic, complemented
90#10622606C2211yescharacteristic, complemented
91#10622605C2211yescharacteristic, complemented
92#10622605C2211yescharacteristic, complemented
93#10622605C2211yescharacteristic, complemented
94#10622605C2211yescharacteristic, complemented
95#10622604C2211yescharacteristic
96#10622603C2211yescharacteristic, complemented
97#10622603C2211yescharacteristic, complemented
98#10622602C2211yescharacteristic
99#10622602C2211yescharacteristic
100#10622602C2211yescharacteristic
101#10622602C2211yescharacteristic
102#10622602C2211yescharacteristic, complemented
103#10622602C2211yescharacteristic, complemented
104#10622602C2211yescharacteristic, complemented
105#10622600C2211yescharacteristic
106#10622600C2211yescharacteristic, complemented
107#10622597C2211yescharacteristic, complemented
108#10622596C2211yescharacteristic, complemented
109#10622594C2211yescharacteristic, complemented
110#10622592C2211yescharacteristic, complemented
111#10622591C2211yescharacteristic, complemented
112#10622586C2211yescharacteristic, complemented
113#10622586C2211yescharacteristic, complemented
114#10622585C2211yescharacteristic, complemented
115#10622585C2211yescharacteristic, complemented
116#10622572C2211yescharacteristic
117#10622572C2211yescharacteristic
118#10622572C2211yescharacteristic
119#10622572C2211yescharacteristic
120#10622570C2211yescharacteristic
121#10622570C2211yescharacteristic
122#10622568C2211yescharacteristic
123#10622568C2211yescharacteristic
124#10622568C2211yescharacteristic
125#10622568C2211yescharacteristic
126#10622568C2211yescharacteristic
127#10622568C2211yescharacteristic
128#10622568C2211yescharacteristic
129#10622568C2211yescharacteristic
130#10622566C2211yescharacteristic, complemented
131#10622565C2211yescharacteristic, complemented
132#10622565C2211yescharacteristic, complemented
133#10622564C2211yescharacteristic, complemented
134#10622564C2211yescharacteristic, complemented
135#10622562C2211yescharacteristic, complemented
136#10622562C2211yescharacteristic, complemented
137#10622562C2211yescharacteristic, complemented
138#10622562C2211yescharacteristic, complemented
139#10622562C2211yescharacteristic, complemented
140#10622561C2211yescharacteristic, complemented
141#10622561C2211yescharacteristic, complemented
142#10622561C2211yescharacteristic, complemented
143#10622560C2211yescharacteristic, complemented
144#10622559C2211yescharacteristic, complemented
145#10622559C2211yescharacteristic, complemented
146#10622558C2211yescharacteristic, complemented
147#10622558C2211yescharacteristic, complemented
148#10622557C2211yescharacteristic, complemented
149#10622557C2211yescharacteristic, complemented
150#10622555C2211yescharacteristic, complemented
151#10622553C2211yescharacteristic, complemented
152#10622553C2211yescharacteristic, complemented
153#10622552C2211yescharacteristic
154C4×(C2×D11)⋊C4C2211yescharacteristic
155#10622546C2211yescharacteristic, complemented
156#10622541C2211yescharacteristic, complemented
157#10622290C2211yescharacteristic, complemented
158#10622290C2211yescharacteristic, complemented
159#10622289C2211yescharacteristic, complemented
160#10622289C2211yescharacteristic, complemented
161#10622288C2211yescharacteristic, complemented
162#10622288C2211yescharacteristic, complemented
163#10622287C2211yescharacteristic, complemented
164#10622286C2211yescharacteristic, complemented
165#10622285C2211yescharacteristic
166#10622283C2211yescharacteristic, complemented
167#10622283C2211yescharacteristic, complemented
168#10622282C2211yescharacteristic, complemented
169#10622282C2211yescharacteristic, complemented
170#10622281C2211yescharacteristic
171#10622281C2211yescharacteristic
172#10622281C2211yescharacteristic
173#10622281C2211yescharacteristic
174#10622281C2211yescharacteristic, complemented
175#10622280C2211yescharacteristic
176#10622280C2211yescharacteristic, complemented
177#10622279C2211yescharacteristic
178#10622277C2211yescharacteristic
179#10622277C2211yescharacteristic
180#10622274C2211yescharacteristic, complemented
181#10622270C2211yescharacteristic, complemented
182#10622269C2211yescharacteristic, complemented
183#10622268C2211yescharacteristic, complemented
184#10622267C2211yescharacteristic, complemented
185#10622266C2211yescharacteristic, complemented
186#10622265C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622260C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C24×D11C2311yescharacteristic
191C22×Q8×C11C2311yescharacteristic
192C22×Q8×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C2×D4×D11—24no—
199C2×D4×D11—42no—
200C2×D4×D11—42no—
201C22×D44C2311yescharacteristic
202C22×C4×D11—24no—
203C22×C4×D11—42no—
204C22×C4×D11—42no—
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C22×Dic22C2311yescharacteristic
214C11×C4⋊Q8—24no—
215C11×#124—42no—
216C11×#123—24no—
217C11×C22⋊Q8—42no—
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C42×C11C2311yescharacteristic
240C2×C42×C11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252#67000—42no—
253#66999—24no—
254#66999—24no—
255#66999—42no—
256#66997—24no—
257#66997—24no—
258#66988—24no—
259#66982—24no—
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×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330#66949—24no—
331#66949—24no—
332#66949—42no—
333#66947—24no—
334#66947—24no—
335#66945—24no—
336C4⋊C4×D11—24no—
337C4⋊C4×D11D418yes—
338#66943—24no—
339#66942—24no—
340#66942—24no—
341#66941—24no—
342#66939—24no—
343#66938—42no—
344#66938—42no—
345#66936—24no—
346#66936—24no—
347C22⋊C4×D11—24no—
348C22⋊C4×D11—24no—
349C22⋊C4×D11—24no—
350#66931—42no—
351#66925—24no—
352#66923—24no—
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
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385#36711—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C23×D11—22no—
389C23×D11—22no—
390C23×D11—22no—
391C23×D11—22no—
392C23×D11—22no—
393C23×D11—22no—
394C23×D11—22no—
395C23×D11—22no—
396C23×D11—41no—
397C23×D11—41no—
398C23×D11—41no—
399C23×D11—41no—
400C23×D11—41no—
401C23×D11—41no—
402C23×D11C2411yescharacteristic
403C23×D11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C2×Q8×C11—22no—
406C2×Q8×C11—22no—
407C2×Q8×C11—41no—
408C2×Q8×C11—41no—
409C2×Q8×C11—41no—
410C2×Q8×C11—41no—
411C2×D4×C11—22no—
412C2×D4×C11—22no—
413C2×D4×C11—41no—
414C22×C4×C11—22no—
415C22×C4×C11—22no—
416C22×C4×C11—41no—
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C2×C22⋊D11—22no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—41no—
435C2×C22⋊D11—41no—
436C22×Dic11—22no—
437C22×Dic11—22no—
438C22×Dic11—41no—
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452D4×D11—416no—
453C2×D44—22no—
454C2×D44—22no—
455C2×D44—41no—
456C2×C4×D11—22no—
457C2×C4×D11—22no—
458C2×C4×D11—22no—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—22no—
463C2×C4×D11—22no—
464C2×C4×D11—41no—
465C2×C4×D11—41no—
466C2×C4×D11—41no—
467C2×C4×D11—41no—
468C2×C4×D11—41no—
469C2×C4×D11—41no—
470C2×C4×D11—41no—
471C2×C4×D11—41no—
472C2×C4×D11—41no—
473C2×C4×D11—41no—
474C2×C4×D11—416no—
475C2×C4×D11C2×D414yes—
476C2×C4×D11C2×D414yes—
477C2×C4×D11C2×D414yes—
478C2×Dic22—22no—
479C2×Dic22—22no—
480C2×Dic22—41no—
481C2×Dic22—41no—
482C2×Dic22—41no—
483C2×Dic22—41no—
484C11×C4⋊C4—22no—
485C11×C4⋊C4—22no—
486C11×C4⋊C4—22no—
487C11×C4⋊C4—22no—
488C11×C4⋊C4—41no—
489C11×C4⋊C4—41no—
490C11×C4⋊C4—41no—
491C11×C4⋊C4—41no—
492C11×C4⋊C4—41no—
493C11×C4⋊C4C2×D414yes—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—22no—
499C11×C22⋊C4—22no—
500C11×C22⋊C4—41no—
501C11×C22⋊C4—41no—
502C11×C22⋊C4—41no—
503C11×C22⋊C4—41no—
504C11×C22⋊C4—41no—
505C42×C11—22no—
506C42×C11—41no—
507C22⋊Dic11—22no—
508C22⋊Dic11—22no—
509C22⋊Dic11—22no—
510C22⋊Dic11—22no—
511C22⋊Dic11—41no—
512C22⋊Dic11—41no—
513C22⋊Dic11—41no—
514C22⋊Dic11—41no—
515C22⋊Dic11—41no—
516C22⋊Dic11—41no—
517C22⋊Dic11—41no—
518(C2×D11)⋊C4—22no—
519(C2×D11)⋊C4—22no—
520(C2×D11)⋊C4—22no—
521(C2×D11)⋊C4—22no—
522(C2×D11)⋊C4—22no—
523(C2×D11)⋊C4—22no—
524(C2×D11)⋊C4—22no—
525(C2×D11)⋊C4—22no—
526(C2×D11)⋊C4—22no—
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—22no—
532(C2×D11)⋊C4—22no—
533(C2×D11)⋊C4—22no—
534(C2×D11)⋊C4—22no—
535(C2×D11)⋊C4—22no—
536(C2×D11)⋊C4—41no—
537(C2×D11)⋊C4—41no—
538(C2×D11)⋊C4—41no—
539(C2×D11)⋊C4—41no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4—41no—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4—41no—
546(C2×D11)⋊C4—41no—
547(C2×D11)⋊C4—41no—
548C4⋊Dic11—22no—
549C4⋊Dic11—22no—
550C4⋊Dic11—22no—
551C4⋊Dic11—22no—
552C4⋊Dic11—41no—
553C4⋊Dic11—41no—
554C4⋊Dic11—41no—
555C4⋊Dic11—41no—
556C4⋊Dic11—41no—
557C4⋊Dic11C2×D414yes—
558Dic11⋊C4—22no—
559Dic11⋊C4—22no—
560Dic11⋊C4—22no—
561Dic11⋊C4—22no—
562Dic11⋊C4—22no—
563Dic11⋊C4—22no—
564Dic11⋊C4—22no—
565Dic11⋊C4—22no—
566Dic11⋊C4—22no—
567Dic11⋊C4—22no—
568Dic11⋊C4—22no—
569Dic11⋊C4—22no—
570Dic11⋊C4—41no—
571Dic11⋊C4—41no—
572Dic11⋊C4—41no—
573Dic11⋊C4—41no—
574Dic11⋊C4—41no—
575Dic11⋊C4—41no—
576Dic11⋊C4—41no—
577Dic11⋊C4—41no—
578Dic11⋊C4—41no—
579Dic11⋊C4—41no—
580Dic11⋊C4C2×D414yes—
581Dic11⋊C4C2×D414yes—
582C4×Dic11—22no—
583C4×Dic11—22no—
584C4×Dic11—22no—
585C4×Dic11—41no—
586C4×Dic11—41no—
587C4×Dic11—41no—
588C2×#544—111no—
589C22×#123—111no—
590#2848—111no—
591#2848—111no—
592#2694—111no—
593#2694—111no—
594#2694—111no—
595#2694—111no—
596#2694—111no—
597#2694—111no—
598#2694—111no—
599#2694—111no—
600#2674—111no—
601#2674—111no—
602#2674—111no—
603#2674—111no—
604#2674—111no—
605#2674—111no—
606#2674—111no—
607#2674D1111yescharacteristic, complemented
608#2626—111no—
609#2626—111no—
610#2583—111no—
611#2583—111no—
612#2482—111no—
613#2482—111no—
614#2482—111no—
615#2482—111no—
616#2435—111no—
617#2435—111no—
618#2313—111no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—21no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11H(5,𝔽2)12yes—
633C23×C11C2511yescharacteristic
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—28no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—44no—
653C22×D11—44no—
654C22×D11—44no—
655C22×D11—44no—
656C22×D11—44no—
657C22×D11—44no—
658C22×D11—44no—
659C22×D11—44no—
660C22×D11—44no—
661C22×D11—82no—
662C22×D11—82no—
663C22×D11—82no—
664C22×D11—82no—
665C22×D11C22×D412yes—
666C22×D11H(5,𝔽2)12yes—
667C22×D112−1+412yes—
668C22×D112−1+412yes—
669Q8×C11—82no—
670Q8×C11—82no—
671D4×C11—44no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—21no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—44no—
709C2×C4×C11C22×D412yes—
710C2×C4×C11C22×D412yes—
711C2×C4×C11C22×D412yes—
712C22⋊D11—44no—
713C22⋊D11—44no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—44no—
751C2×Dic11C22×D412yes—
752C2×Dic11C22×D412yes—
753C2×Dic11C22×D412yes—
754D44—44no—
755C4×D11—28no—
756C4×D11—44no—
757C4×D11—44no—
758C4×D11—44no—
759C4×D11—44no—
760C4×D11—44no—
761C4×D11—44no—
762Dic22—82no—
763Dic22—82no—
764C23×D4—111no—
765C24×C4—111no—
766#544—228no—
767C2×C4⋊Q8—111no—
768C2×C4⋊Q8—111no—
769C2×C4⋊Q8—111no—
770C2×C4⋊Q8C2×D1111yescharacteristic, complemented
771C2×#125—111no—
772C2×#125—111no—
773C2×#125—111no—
774C2×#125—111no—
775C2×#124—111no—
776C2×#124—111no—
777C2×#124—111no—
778C2×#124C2×D1111yescharacteristic
779C2×#123—111no—
780C2×#123—111no—
781C2×#123—111no—
782C2×#123—111no—
783C2×#123—111no—
784C2×#123—111no—
785C2×#123—111no—
786C2×#123—228no—
787C2×#123C2×D1111yescharacteristic
788C2×C22⋊Q8—111no—
789C2×C22⋊Q8—111no—
790C2×C22⋊Q8—111no—
791C2×C22⋊Q8—111no—
792C2×C22⋊Q8—111no—
793C2×C22⋊Q8—111no—
794C2×C22⋊Q8—111no—
795C2×C22⋊Q8C2×D1111yescharacteristic, complemented
796C2×#117—111no—
797C2×#117—111no—
798C22×C4⋊C4—111no—
799C22×C4⋊C4—111no—
800C22×C22⋊C4—111no—
801C22×C22⋊C4—111no—
802C22×C22⋊C4—111no—
803#399—111no—
804#399—111no—
805#399—111no—
806#399—111no—
807#399—111no—
808#399—111no—
809#399—111no—
810#399—111no—
811#399—111no—
812#399—111no—
813#399—111no—
814#399C2×D1111yescharacteristic, complemented
815#398—111no—
816#398—111no—
817#398—111no—
818#398—111no—
819#397—111no—
820#397—111no—
821#397—111no—
822#397—111no—
823#397—111no—
824#397—111no—
825#397—111no—
826#397C2×D1111yescharacteristic, complemented
827#396—111no—
828#396—111no—
829#396—111no—
830#396—111no—
831#396—111no—
832#396—111no—
833#396—111no—
834#396C2×D1111yescharacteristic, complemented
835#395—111no—
836#395—111no—
837#395—111no—
838#395C2×D1111yescharacteristic, complemented
839#394—111no—
840#394—111no—
841#394—111no—
842#394—111no—
843#394—111no—
844#394—111no—
845#394—111no—
846#394C2×D1111yescharacteristic
847#393—111no—
848#393—111no—
849#393—111no—
850#393C2×D1111yescharacteristic, complemented
851#390—111no—
852#390—111no—
853#390—111no—
854#390—111no—
855#389—111no—
856#389—111no—
857#389—111no—
858#389—111no—
859#389—111no—
860#389—111no—
861#389—111no—
862#389C2×D1111yescharacteristic, complemented
863#388—111no—
864#388—111no—
865#388—111no—
866#388—111no—
867#388—111no—
868#388—111no—
869#388—111no—
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#388—111no—
877#388C2×D1111yescharacteristic, complemented
878#388C2×D1111yescharacteristic, complemented
879#387—111no—
880#387—111no—
881#387—111no—
882#387—111no—
883#387—111no—
884#387—111no—
885#387—111no—
886#387C2×D1111yescharacteristic, complemented
887#385—111no—
888#385—111no—
889#385—111no—
890#385—111no—
891#385—111no—
892#385—111no—
893#385—111no—
894#385—111no—
895#385—111no—
896#385—111no—
897#385—111no—
898#385—111no—
899#385—111no—
900#385—111no—
901#385—111no—
902#385C2×D1111yescharacteristic, complemented
903#381—111no—
904#381—111no—
905#380—111no—
906#380—111no—
907#380—111no—
908#380—111no—
909#380—111no—
910#380—111no—
911#379—111no—
912#379—111no—
913#379—111no—
914#379—111no—
915#379—111no—
916#379—111no—
917#379—111no—
918#379—111no—
919C4×C22⋊C4—111no—
920C4×C22⋊C4—111no—
921C22×C11—22no—
922C22×C11—22no—
923C22×C11—22no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11—41no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11C23×D411yescharacteristic
936C22×C11C2×H(5,𝔽2)11yescharacteristic
937C22×C11C2×H(5,𝔽2)11yescharacteristic
938C22×C11C2×2−1+411yescharacteristic
939C22×C11C2×2−1+411yescharacteristic
940C22×C11#58511yescharacteristic
941C22×C11#58511yescharacteristic
942C2×D11—22no—
943C2×D11—22no—
944C2×D11—22no—
945C2×D11—22no—
946C2×D11—22no—
947C2×D11—22no—
948C2×D11—22no—
949C2×D11—22no—
950C2×D11—22no—
951C2×D11—416no—
952C2×D11—41no—
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—41no—
958C2×D11—41no—
959C2×D11—41no—
960C2×D11—41no—
961C2×D11—41no—
962C2×D11—41no—
963C2×D11—88no—
964C2×D11#53614yes—
965C4×C11—22no—
966C4×C11—22no—
967C4×C11—22no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974C4×C11—41no—
975C4×C11—41no—
976C4×C11—41no—
977C4×C11—41no—
978Dic11—22no—
979Dic11—22no—
980Dic11—22no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988Dic11—41no—
989Dic11—41no—
990Dic11—41no—
991C25—111no—
992C25—111no—
993C22×Q8—111no—
994C22×Q8—111no—
995C22×Q8C22×D1111yescharacteristic
996C22×Q8C22×D1111yescharacteristic
997C22×D4—111no—
998C22×D4—111no—
999C22×D4—111no—
1000C22×D4—224no—
1001C22×D4—442no—
1002C22×D4—442no—
1003C22×D4C22×D1111yescharacteristic
1004C23×C4—111no—
1005C23×C4—111no—
1006C23×C4—111no—
1007C23×C4—111no—
1008C23×C4—111no—
1009C23×C4—111no—
1010C23×C4—111no—
1011C23×C4—111no—
1012C23×C4—224no—
1013C23×C4—442no—
1014C23×C4—442no—
1015C23×C4C22×D1111yescharacteristic
1016C4⋊Q8—24no—
1017C4⋊Q8—224no—
1018C4⋊Q8—224no—
1019C4⋊Q8—224no—
1020#125—224no—
1021#125—224no—
1022#125—224no—
1023#125—224no—
1024#124—42no—
1025#124—442no—
1026#124—442no—
1027#124—442no—
1028#123—24no—
1029#123—224no—
1030#123—224no—
1031#123—224no—
1032#123—224no—
1033#123—224no—
1034#123—224no—
1035#123—224no—
1036C22⋊Q8—42no—
1037C22⋊Q8—224no—
1038C22⋊Q8—224no—
1039C22⋊Q8—224no—
1040C22⋊Q8—224no—
1041C22⋊Q8—442no—
1042C22⋊Q8—442no—
1043C22⋊Q8—442no—
1044#117—224no—
1045#117—224no—
1046C2×C4⋊C4—111no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—118no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4—111no—
1054C2×C4⋊C4—111no—
1055C2×C4⋊C4—111no—
1056C2×C4⋊C4—111no—
1057C2×C4⋊C4—111no—
1058C2×C4⋊C4—111no—
1059C2×C4⋊C4—111no—
1060C2×C4⋊C4—111no—
1061C2×C4⋊C4—111no—
1062C2×C4⋊C4—111no—
1063C2×C4⋊C4—111no—
1064C2×C4⋊C4—111no—
1065C2×C4⋊C4—111no—
1066C2×C4⋊C4—111no—
1067C2×C4⋊C4—111no—
1068C2×C4⋊C4—111no—
1069C2×C4⋊C4—111no—
1070C2×C4⋊C4—111no—
1071C2×C4⋊C4—111no—
1072C2×C4⋊C4—111no—
1073C2×C4⋊C4—111no—
1074C2×C4⋊C4—111no—
1075C2×C4⋊C4—111no—
1076C2×C4⋊C4—111no—
1077C2×C4⋊C4—111no—
1078C2×C4⋊C4—111no—
1079C2×C4⋊C4—111no—
1080C2×C4⋊C4—111no—
1081C2×C4⋊C4—224no—
1082C2×C4⋊C4C22×D1111yescharacteristic
1083C2×C4⋊C4C22×D1111yescharacteristic
1084C2×C4⋊C4C22×D1111yescharacteristic
1085C2×C4⋊C4C22×D1111yescharacteristic
1086C2×C4⋊C4C22×D1111yescharacteristic
1087C2×C4⋊C4C22×D1111yescharacteristic
1088C2×C4⋊C4C22×D1111yescharacteristic
1089C2×C4⋊C4C22×D1111yescharacteristic
1090C2×C4⋊C4C22×D1111yescharacteristic
1091C2×C4⋊C4C22×D1111yescharacteristic
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—224no—
1134C2×C22⋊C4—224no—
1135C2×C22⋊C4—224no—
1136C2×C22⋊C4C22×D1111yescharacteristic
1137C2×C22⋊C4C22×D1111yescharacteristic
1138C2×C22⋊C4C22×D1111yescharacteristic
1139C2×C22⋊C4C22×D1111yescharacteristic
1140C2×C22⋊C4C22×D1111yescharacteristic
1141C2×C22⋊C4C22×D1111yescharacteristic
1142C2×C22⋊C4C22×D1111yescharacteristic
1143C2×C22⋊C4C22×D1111yescharacteristic
1144C2×C22⋊C4C22×D1111yescharacteristic
1145C2×C22⋊C4C22×D1111yescharacteristic
1146C2×C22⋊C4C22×D1111yescharacteristic
1147C2×C42—111no—
1148C2×C42—111no—
1149C2×C42—111no—
1150C2×C42—111no—
1151C2×C42—111no—
1152C2×C42—111no—
1153C2×C42C22×D1111yescharacteristic
1154C2×C42C22×D1111yescharacteristic
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95—111no—
1167#95—111no—
1168#95—111no—
1169#95—111no—
1170#95—111no—
1171#95—111no—
1172#95—111no—
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95C22×D1111yescharacteristic
1180#95C22×D1111yescharacteristic
1181#95C22×D1111yescharacteristic
1182#95C22×D1111yescharacteristic
1183#95C22×D1111yescharacteristic
1184#95C22×D1111yescharacteristic
1185#95C22×D1111yescharacteristic
1186#95C22×D1111yescharacteristic
1187C2×C11—42no—
1188C2×C11—81no—
1189C2×C11C2×#53611yescharacteristic
1190C2×C11#348411yescharacteristic
1191C2×C11#348711yescharacteristic
1192C2×C11#353511yescharacteristic
1193C2×C11#353511yescharacteristic
1194C2×C11#353511yescharacteristic
1195C2×C11#353511yescharacteristic
1196D11—24no—
1197D11—42no—
1198D11—81no—
1199C24—111no—
1200C24—111no—
1201C24—111no—
1202C24—222no—
1203C24—222no—
1204C24—222no—
1205C24—222no—
1206C24—222no—
1207C24—222no—
1208C24—222no—
1209C24—222no—
1210C24—441no—
1211C24—441no—
1212C24—441no—
1213C24—441no—
1214C24—441no—
1215C24—441no—
1216C24C23×D1111yescharacteristic
1217C24C23×D1111yescharacteristic
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—41no—
1221C2×Q8—41no—
1222C2×Q8—41no—
1223C2×Q8—41no—
1224C2×Q8—222no—
1225C2×Q8—222no—
1226C2×Q8—441no—
1227C2×Q8—441no—
1228C2×Q8—441no—
1229C2×Q8—441no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—41no—
1233C2×D4—222no—
1234C2×D4—222no—
1235C2×D4—222no—
1236C2×D4—222no—
1237C2×D4—222no—
1238C2×D4—222no—
1239C2×D4—441no—
1240C2×D4—441no—
1241C2×D4—441no—
1242C2×D4—4416no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—41no—
1246C22×C4—111no—
1247C22×C4—111no—
1248C22×C4—111no—
1249C22×C4—114no—
1250C22×C4—114no—
1251C22×C4—114no—
1252C22×C4—111no—
1253C22×C4—111no—
1254C22×C4—111no—
1255C22×C4—111no—
1256C22×C4—111no—
1257C22×C4—111no—
1258C22×C4—111no—
1259C22×C4—111no—
1260C22×C4—111no—
1261C22×C4—111no—
1262C22×C4—222no—
1263C22×C4—222no—
1264C22×C4—222no—
1265C22×C4—222no—
1266C22×C4—222no—
1267C22×C4—222no—
1268C22×C4—222no—
1269C22×C4—222no—
1270C22×C4—222no—
1271C22×C4—222no—
1272C22×C4—441no—
1273C22×C4—441no—
1274C22×C4—441no—
1275C22×C4—441no—
1276C22×C4—441no—
1277C22×C4—441no—
1278C22×C4—441no—
1279C22×C4—441no—
1280C22×C4—441no—
1281C22×C4—441no—
1282C22×C4—4416no—
1283C22×C4—441no—
1284C22×C4C23×D1111yescharacteristic
1285C22×C4C23×D1111yescharacteristic
1286C22×C4C23×D1111yescharacteristic
1287C22×C4C23×D1111yescharacteristic
1288C22×C4C23×D1111yescharacteristic
1289C22×C4C23×D1111yescharacteristic
1290C22×C4C23×D1111yescharacteristic
1291C22×C4C23×D1111yescharacteristic
1292C22×C4C23×D1111yescharacteristic
1293C22×C4C23×D1111yescharacteristic
1294C22×C4C23×D1111yescharacteristic
1295C22×C4C23×D1111yescharacteristic
1296C22×C4C23×D1111yescharacteristic
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—114no—
1307C4⋊C4—114no—
1308C4⋊C4—114no—
1309C4⋊C4—222no—
1310C4⋊C4—222no—
1311C4⋊C4—222no—
1312C4⋊C4—222no—
1313C4⋊C4—222no—
1314C4⋊C4—222no—
1315C4⋊C4—222no—
1316C4⋊C4—222no—
1317C4⋊C4—222no—
1318C4⋊C4—222no—
1319C4⋊C4—222no—
1320C4⋊C4—222no—
1321C4⋊C4—222no—
1322C4⋊C4—222no—
1323C4⋊C4—222no—
1324C4⋊C4—222no—
1325C4⋊C4—441no—
1326C4⋊C4—441no—
1327C4⋊C4—441no—
1328C4⋊C4—441no—
1329C4⋊C4—441no—
1330C4⋊C4—441no—
1331C4⋊C4—441no—
1332C4⋊C4—441no—
1333C4⋊C4—441no—
1334C4⋊C4—441no—
1335C4⋊C4—441no—
1336C4⋊C4—441no—
1337C4⋊C4—441no—
1338C4⋊C4—441no—
1339C4⋊C4—441no—
1340C4⋊C4D4×D1114yes—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—222no—
1353C22⋊C4—222no—
1354C22⋊C4—222no—
1355C22⋊C4—222no—
1356C22⋊C4—222no—
1357C22⋊C4—222no—
1358C22⋊C4—222no—
1359C22⋊C4—222no—
1360C22⋊C4—222no—
1361C22⋊C4—222no—
1362C22⋊C4—222no—
1363C22⋊C4—222no—
1364C22⋊C4—222no—
1365C22⋊C4—222no—
1366C22⋊C4—222no—
1367C22⋊C4—222no—
1368C22⋊C4—222no—
1369C22⋊C4—222no—
1370C22⋊C4—222no—
1371C22⋊C4—222no—
1372C22⋊C4—222no—
1373C22⋊C4—222no—
1374C22⋊C4—441no—
1375C22⋊C4—441no—
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—441no—
1388C22⋊C4—441no—
1389C22⋊C4—441no—
1390C22⋊C4—441no—
1391C22⋊C4—441no—
1392C22⋊C4—441no—
1393C42—22no—
1394C42—41no—
1395C42—222no—
1396C42—222no—
1397C42—222no—
1398C42—441no—
1399C42—441no—
1400C42—441no—
1401C11#3671111yescharacteristic, complemented, Sylow
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—112no—
1416C23—112no—
1417C23—112no—
1418C23—112no—
1419C23—228no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23—221no—
1426C23—221no—
1427C23—221no—
1428C23—221no—
1429C23—221no—
1430C23—221no—
1431C23—221no—
1432C23—221no—
1433C23—221no—
1434C23—221no—
1435C23—221no—
1436C23—221no—
1437C23—444no—
1438C23—444no—
1439C23—444no—
1440C23—444no—
1441C23—444no—
1442C23—444no—
1443C23—444no—
1444C23—444no—
1445C23—444no—
1446C23—882no—
1447C23—882no—
1448C23—882no—
1449C23—882no—
1450C23#6703712yes—
1451C23C24×D1111yescharacteristic
1452Q8—82no—
1453Q8—82no—
1454Q8—882no—
1455Q8—882no—
1456D4—44no—
1457D4—444no—
1458D4—444no—
1459D4—444no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—44no—
1497C2×C4—112no—
1498C2×C4—112no—
1499C2×C4—112no—
1500C2×C4—228no—
1501C2×C4—221no—
1502C2×C4—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—221no—
1526C2×C4—221no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—221no—
1530C2×C4—221no—
1531C2×C4—221no—
1532C2×C4—221no—
1533C2×C4—221no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—444no—
1538C2×C4—444no—
1539C2×C4—444no—
1540C2×C4—444no—
1541C2×C4—444no—
1542C2×C4—444no—
1543C2×C4—444no—
1544C2×C4C2×D4×D1112yes—
1545C2×C4C2×D4×D1112yes—
1546C2×C4C2×D4×D1112yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—114no—
1562C22—222no—
1563C22—222no—
1564C22—222no—
1565C22—222no—
1566C22—222no—
1567C22—222no—
1568C22—222no—
1569C22—222no—
1570C22—222no—
1571C22—4416no—
1572C22—441no—
1573C22—441no—
1574C22—441no—
1575C22—441no—
1576C22—441no—
1577C22—441no—
1578C22—441no—
1579C22—441no—
1580C22—441no—
1581C22—441no—
1582C22—441no—
1583C22—888no—
1584C22C22×D4×D1111yescharacteristic
1585C22C2×#6703711yescharacteristic
1586C22#1062345311yescharacteristic
1587C22D11×H(5,𝔽2)11yescharacteristic
1588C22D11×2−1+411yescharacteristic
1589C22D11×2−1+411yescharacteristic
1590C22#1062345711yescharacteristic
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—222no—
1605C4—222no—
1606C4—222no—
1607C4—441no—
1608C4—441no—
1609C4—441no—
1610C4—441no—
1611C4—441no—
1612C4—441no—
1613C4—441no—
1614C4—441no—
1615C4—441no—
1616C4—441no—
1617C2—42no—
1618C2—81no—
1619C2—224no—
1620C2—442no—
1621C2—881no—
1622C2D11×#53611yescharacteristic
1623C2#1308224411yescharacteristic
1624C2#1308227311yescharacteristic
1625C2#1308281511yescharacteristic
1626C2#1308281711yescharacteristic
1627C2#1308281811yescharacteristic
1628C2#1308282711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2674C2
prime radicalC22×D4×D11C22
hypercenter#2674D11
hypocenterC11#36711
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2674

Complements

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

NH ≅ G/Ntype
1. C2×#10623260C2semidirect
3. #13076902C2semidirect
4. #13076900C2semidirect
5. #13075142C2semidirect
6. #13075140C2semidirect
7. #13075139C2semidirect
8. #13075137C2semidirect
9. #13075135C2semidirect
10. #13075134C2semidirect
11. #13075133C2semidirect
12. #13075132C2semidirect
13. #13074903C2semidirect
14. #13074902C2semidirect
15. #13074896C2semidirect
16. #13074893C2semidirect
17. #13074892C2semidirect
18. #13074891C2semidirect
19. #13074890C2semidirect
20. #13074426C2semidirect
21. #13074420C2semidirect
22. #13073994C2semidirect
23. #13073992C2semidirect
24. #13072891C2semidirect
25. #13072888C2semidirect
26. #13072888C2semidirect
27. #13072885C2semidirect
30. #13071215C2semidirect
31. C11×#2674C2semidirect
34. C2×C11×C4⋊Q8C22semidirect
37. C2×C11×C22⋊Q8C22semidirect
41. C2×#66999C22semidirect
42. C2×#66997C22semidirect
43. C2×#66997C22semidirect
50. C2×#66949C22semidirect
56. C2×#66943C22semidirect
57. C2×#66942C22semidirect
58. C2×#66942C22semidirect
59. C2×#66941C22semidirect
68. C2×#66931C22semidirect
70. C2×#66923C22semidirect
71. C11×#399C22semidirect
72. C11×#397C22semidirect
73. C11×#396C22semidirect
74. C11×#395C22semidirect
76. C11×#393C22semidirect
77. C11×#389C22semidirect
78. C11×#388C22semidirect
79. C11×#388C22semidirect
80. C11×#387C22semidirect
81. C11×#385C22semidirect
82. #10622844C22semidirect
83. #10622842C22semidirect
86. #10622825C22semidirect
87. #10622823C22semidirect
88. #10622607C22semidirect
89. #10622607C22semidirect
90. #10622606C22semidirect
91. #10622605C22semidirect
92. #10622605C22semidirect
93. #10622605C22semidirect
94. #10622605C22semidirect
96. #10622603C22semidirect
97. #10622603C22semidirect
102. #10622602C22semidirect
103. #10622602C22semidirect
104. #10622602C22semidirect
106. #10622600C22semidirect
107. #10622597C22semidirect
108. #10622596C22semidirect
109. #10622594C22semidirect
110. #10622592C22semidirect
111. #10622591C22semidirect
112. #10622586C22semidirect
113. #10622586C22semidirect
114. #10622585C22semidirect
115. #10622585C22semidirect
130. #10622566C22semidirect
131. #10622565C22semidirect
132. #10622565C22semidirect
133. #10622564C22semidirect
134. #10622564C22semidirect
135. #10622562C22semidirect
136. #10622562C22semidirect
137. #10622562C22semidirect
138. #10622562C22semidirect
139. #10622562C22semidirect
140. #10622561C22semidirect
141. #10622561C22semidirect
142. #10622561C22semidirect
143. #10622560C22semidirect
144. #10622559C22semidirect
145. #10622559C22semidirect
146. #10622558C22semidirect
147. #10622558C22semidirect
148. #10622557C22semidirect
149. #10622557C22semidirect
150. #10622555C22semidirect
151. #10622553C22semidirect
152. #10622553C22semidirect
155. #10622546C22semidirect
156. #10622541C22semidirect
157. #10622290C22semidirect
158. #10622290C22semidirect
159. #10622289C22semidirect
160. #10622289C22semidirect
161. #10622288C22semidirect
162. #10622288C22semidirect
163. #10622287C22semidirect
164. #10622286C22semidirect
166. #10622283C22semidirect
167. #10622283C22semidirect
168. #10622282C22semidirect
169. #10622282C22semidirect
174. #10622281C22semidirect
176. #10622280C22semidirect
180. #10622274C22semidirect
181. #10622270C22semidirect
182. #10622269C22semidirect
183. #10622268C22semidirect
184. #10622267C22semidirect
185. #10622266C22semidirect
186. #10622265C22semidirect
187. #10622260C22semidirect
188. #10622260C22semidirect
607. #2674D11semidirect
770. C2×C4⋊Q8C2×D11semidirect
795. C2×C22⋊Q8C2×D11semidirect
814. #399C2×D11semidirect
826. #397C2×D11semidirect
834. #396C2×D11semidirect
838. #395C2×D11semidirect
850. #393C2×D11semidirect
862. #389C2×D11semidirect
877. #388C2×D11semidirect
878. #388C2×D11semidirect
886. #387C2×D11semidirect
902. #385C2×D11semidirect
1401. C11#36711semidirect

Maximal subgroups

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

subgroupindex
C2×#106232602
C2×D11×#1232
#130769022
#130769002
#130751422
#130751402
#130751392
#130751372
#130751352
#130751342
#130751332
#130751322
#130749032
#130749022
#130748962
#130748932
#130748922
#130748912
#130748902
#130744262
#130744202
#130739942
#130739922
#130728912
#130728882
#130728852
#130722642
#130722622
#130712152
C11×#26742
#3671111