Finite Group Databasebeta

← #14917648

Subgroups — #14917648

Order 2816.

2234 conjugacy classes of subgroups.

The subgroup lattice has 1474 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623165C211yesmaximal, characteristic
2#13071781C211yesmaximal, characteristic, complemented
3#13071781C211yesmaximal, characteristic, complemented
4#13071780C211yesmaximal, characteristic, complemented
5#13071777C211yesmaximal, characteristic, complemented
6#13071696C211yesmaximal, characteristic, complemented
7#13071648C211yesmaximal, characteristic, complemented
8#13071645C211yesmaximal, characteristic, complemented
9#13071644C211yesmaximal, characteristic, complemented
10#13071638C211yesmaximal, characteristic, complemented
11#13071625C211yesmaximal, characteristic, complemented
12#13071619C211yesmaximal, characteristic, complemented
13#13071463C211yesmaximal, characteristic
14#13071463C211yesmaximal, characteristic
15#13071459C211yesmaximal, characteristic
16#13071459C211yesmaximal, characteristic
17#13071371C211yesmaximal, characteristic, complemented
18#13071370C211yesmaximal, characteristic, complemented
19#13071368C211yesmaximal, characteristic, complemented
20#13071367C211yesmaximal, characteristic, complemented
21#13071347C211yesmaximal, characteristic, complemented
22#13071344C211yesmaximal, characteristic, complemented
23#13071301C211yesmaximal, characteristic, complemented
24#13071299C211yesmaximal, characteristic, complemented
25#13071297C211yesmaximal, characteristic, complemented
26#13071297C211yesmaximal, characteristic, complemented
27#13071211C211yesmaximal, characteristic
28#13071148C211yesmaximal, characteristic, complemented
29C4×#66931C211yesmaximal, characteristic, complemented
30C2×#10622283C211yesmaximal, characteristic
31C11×#2368C211yesmaximal, characteristic, complemented
32C2×C11×C22⋊Q8C2211yescharacteristic
33C2×#66999C2211yescharacteristic
34C2×#66999C2211yescharacteristic
35C2×Q8×Dic11C2211yescharacteristic, complemented
36C22×(C2×D11)⋊C4C2211yescharacteristic
37C22×(C2×D11)⋊C4C2211yescharacteristic
38C22×(C2×D11)⋊C4C2211yescharacteristic
39C22×C4⋊Dic11C2211yescharacteristic
40C2×#66977C2211yescharacteristic
41C22×C4×Dic11C2211yescharacteristic
42#10623165C4116yescomplemented
43C2×#66950C2211yescharacteristic
44C2×#66950C2211yescharacteristic
45C2×#66949C2211yescharacteristic
46C2×#66949C2211yescharacteristic
47C2×#66949C2211yescharacteristic
48C2×#66949C2211yescharacteristic
49C2×#66945C2211yescharacteristic
50C2×#66945C2211yescharacteristic
51C2×#66940C2211yescharacteristic, complemented
52C2×C22⋊C4×D11C2211yescharacteristic
53C2×C22⋊C4×D11C2211yescharacteristic
54C2×#66931C2211yescharacteristic
55C2×#66931C2211yescharacteristic
56C2×#66925C2211yescharacteristic
57C2×#66925C2211yescharacteristic
58C2×C4×Dic22C2211yescharacteristic, complemented
59C2×C4×Dic22C2211yescharacteristic, complemented
60C11×#391C2211yescharacteristic, complemented
61C11×#391C2211yescharacteristic, complemented
62C11×#387C2211yescharacteristic, complemented
63C11×#387C2211yescharacteristic, complemented
64C11×#387C2211yescharacteristic, complemented
65C11×#387C2211yescharacteristic, complemented
66C11×#385C2211yescharacteristic
67C11×#385C2211yescharacteristic
68C4×C11×C4⋊C4C2211yescharacteristic, complemented
69C4×C11×C4⋊C4C2211yescharacteristic, complemented
70C4×C11×C22⋊C4C2211yescharacteristic
71C4×C11×C22⋊C4C2211yescharacteristic
72C4×C11×C22⋊C4C2211yescharacteristic
73C2×C11×#95C2211yescharacteristic
74#10622843C2211yescharacteristic, complemented
75#10622823C2211yescharacteristic
76#10622823C2211yescharacteristic
77C4×C22⋊Dic11C2211yescharacteristic
78C4×C22⋊Dic11C2211yescharacteristic
79C4×C22⋊Dic11C2211yescharacteristic
80C2×C11⋊#95C2211yescharacteristic
81#10622603C2211yescharacteristic
82#10622603C2211yescharacteristic
83#10622603C2211yescharacteristic
84#10622603C2211yescharacteristic
85#10622600C2211yescharacteristic
86#10622600C2211yescharacteristic
87#10622598C2211yescharacteristic, complemented
88#10622598C2211yescharacteristic, complemented
89#10622598C2211yescharacteristic, complemented
90#10622594C2211yescharacteristic, complemented
91#10622594C2211yescharacteristic, complemented
92#10622591C2211yescharacteristic, complemented
93#10622591C2211yescharacteristic, complemented
94C4⋊C4×Dic11C2211yescharacteristic, complemented
95C4⋊C4×Dic11C2211yescharacteristic, complemented
96#10622587C2211yescharacteristic, complemented
97#10622586C2211yescharacteristic, complemented
98#10622585C2211yescharacteristic, complemented
99#10622585C2211yescharacteristic, complemented
100#10622568C2211yescharacteristic
101#10622568C2211yescharacteristic
102#10622563C2211yescharacteristic
103#10622563C2211yescharacteristic
104#10622559C2211yescharacteristic
105#10622559C2211yescharacteristic
106#10622555C2211yescharacteristic
107#10622555C2211yescharacteristic
108C22⋊C4×Dic11C2211yescharacteristic
109C22⋊C4×Dic11C2211yescharacteristic
110C22⋊C4×Dic11C2211yescharacteristic
111C22⋊C4×Dic11C2211yescharacteristic
112#10622553C2211yescharacteristic
113#10622553C2211yescharacteristic
114#10622553C2211yescharacteristic
115#10622553C2211yescharacteristic
116#10622553C2211yescharacteristic
117#10622553C2211yescharacteristic
118#10622553C2211yescharacteristic
119#10622553C2211yescharacteristic
120C4×(C2×D11)⋊C4C2211yescharacteristic
121C4×(C2×D11)⋊C4C2211yescharacteristic
122C4×C4⋊Dic11C2211yescharacteristic, complemented
123C4×C4⋊Dic11C2211yescharacteristic, complemented
124#10622546C2211yescharacteristic, complemented
125#10622546C2211yescharacteristic, complemented
126C4×Dic11⋊C4C2211yescharacteristic, complemented
127C4×Dic11⋊C4C2211yescharacteristic, complemented
128#10622542C2211yescharacteristic, complemented
129#10622542C2211yescharacteristic, complemented
130#10622541C2211yescharacteristic, complemented
131#10622541C2211yescharacteristic, complemented
132#10622283C2211yescharacteristic
133#10622283C2211yescharacteristic
134#10622283C2211yescharacteristic
135#10622283C2211yescharacteristic
136#10622283C2211yescharacteristic
137#10622283C2211yescharacteristic
138#10622283C2211yescharacteristic
139#10622283C2211yescharacteristic
140#10622283C2211yescharacteristic
141#10622283C2211yescharacteristic
142#10622283C2211yescharacteristic
143#10622283C2211yescharacteristic
144#10622282C2211yescharacteristic
145#10622282C2211yescharacteristic
146#10622282C2211yescharacteristic
147#10622282C2211yescharacteristic
148#10622282C2211yescharacteristic
149#10622282C2211yescharacteristic
150#10622282C2211yescharacteristic
151#10622282C2211yescharacteristic
152#10622280C2211yescharacteristic
153#10622280C2211yescharacteristic
154#10622279C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622277C2211yescharacteristic
157#10622277C2211yescharacteristic
158#10622277C2211yescharacteristic
159#10622277C2211yescharacteristic
160#10622268C2211yescharacteristic, complemented
161#10622268C2211yescharacteristic, complemented
162#10622268C2211yescharacteristic, complemented
163#10622268C2211yescharacteristic, complemented
164#10622267C2211yescharacteristic, complemented
165#10622267C2211yescharacteristic, complemented
166#10622266C2211yescharacteristic, complemented
167#10622266C2211yescharacteristic, complemented
168#10622266C2211yescharacteristic, complemented
169#10622266C2211yescharacteristic, complemented
170#10622265C2211yescharacteristic, complemented
171#10622265C2211yescharacteristic, complemented
172#10622265C2211yescharacteristic, complemented
173#10622265C2211yescharacteristic, complemented
174#10622262C2211yescharacteristic, complemented
175#10622262C2211yescharacteristic, complemented
176#10622262C2211yescharacteristic, complemented
177#10622262C2211yescharacteristic, complemented
178#10622260C2211yescharacteristic, complemented
179#10622260C2211yescharacteristic, complemented
180#10622260C2211yescharacteristic, complemented
181#10622260C2211yescharacteristic, complemented
182#10622259C2211yescharacteristic, complemented
183#10622259C2211yescharacteristic, complemented
184#10622259C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188C24×D11C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×Dic22C2311yescharacteristic
201C22×Dic22C2311yescharacteristic
202C22×Dic22C2311yescharacteristic
203C11×C22⋊Q8C2×C418yes—
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⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C42×C11C2311yescharacteristic
216C2×C42×C11C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C22⋊Dic11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225#66999C2×C418yescomplemented
226#66999C2×C418yescomplemented
227Q8×Dic11—42no—
228C2×(C2×D11)⋊C4—42no—
229C2×(C2×D11)⋊C4—42no—
230C2×(C2×D11)⋊C4C2×C418yes—
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11—42no—
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267#66977C2×C418yes—
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×C4×Dic11—42no—
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305#66950C2×C418yescomplemented
306#66950C2×C418yescomplemented
307#66949C2×C418yescomplemented
308#66949C2×C418yescomplemented
309#66949C2×C418yescomplemented
310#66949C2×C418yescomplemented
311#66945—42no—
312#66945—42no—
313#66940—42no—
314C22⋊C4×D11C2×C418yes—
315C22⋊C4×D11C2×C418yes—
316#66931C2×C418yes—
317#66931C2×C418yes—
318#66925—42no—
319#66925—42no—
320C4×Dic22—42no—
321C4×Dic22—42no—
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
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370#34433—111nomaximal, Sylow
371C24×C11C2411yescharacteristic
372C23×D11—22no—
373C23×D11—22no—
374C23×D11—41no—
375C23×D11—41no—
376C23×D11—41no—
377C23×D11—41no—
378C23×D11C22×C414yes—
379C23×D11C2411yescharacteristic
380C23×D11C2411yescharacteristic
381C2×Q8×C11—41no—
382C2×Q8×C11—41no—
383C2×Q8×C11C22×C414yes—
384C22×C4×C11—22no—
385C22×C4×C11—22no—
386C22×C4×C11—22no—
387C22×C4×C11—41no—
388C22×C4×C11—41no—
389C22×C4×C11—41no—
390C22×C4×C11—41no—
391C22×C4×C11—41no—
392C22×C4×C11C22×C414yes—
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×Dic11—22no—
408C22×Dic11—22no—
409C22×Dic11—22no—
410C22×Dic11—41no—
411C22×Dic11—41no—
412C22×Dic11—41no—
413C22×Dic11—41no—
414C22×Dic11—41no—
415C22×Dic11C22×C414yes—
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C2×C4×D11—41no—
431C2×C4×D11—41no—
432C2×C4×D11—41no—
433C2×C4×D11—41no—
434C2×C4×D11—41no—
435C2×C4×D11—41no—
436C2×C4×D11—41no—
437C2×C4×D11—41no—
438C2×C4×D11C22×C414yes—
439C2×C4×D11C22×C414yes—
440C2×C4×D11C22×C414yes—
441C2×C4×D11C22×C414yes—
442C2×Dic22—41no—
443C2×Dic22—41no—
444C2×Dic22—41no—
445C2×Dic22—41no—
446C2×Dic22—41no—
447C2×Dic22—41no—
448C2×Dic22C22×C414yes—
449C2×Dic22C22×C414yes—
450C2×Dic22C22×C414yes—
451C11×C4⋊C4—22no—
452C11×C4⋊C4—41no—
453C11×C4⋊C4—41no—
454C11×C4⋊C4—41no—
455C11×C4⋊C4C22×C414yes—
456C11×C4⋊C4C22×C414yes—
457C11×C4⋊C4C22×C414yes—
458C11×C22⋊C4—22no—
459C11×C22⋊C4—22no—
460C11×C22⋊C4C22×C414yes—
461C11×C22⋊C4C22×C414yes—
462C42×C11—22no—
463C42×C11—41no—
464C42×C11—41no—
465C42×C11—41no—
466C42×C11—41no—
467C42×C11—41no—
468C22⋊Dic11—22no—
469C22⋊Dic11—22no—
470C22⋊Dic11C22×C414yes—
471C22⋊Dic11C22×C414yes—
472(C2×D11)⋊C4—22no—
473(C2×D11)⋊C4—22no—
474(C2×D11)⋊C4—22no—
475(C2×D11)⋊C4—22no—
476(C2×D11)⋊C4—41no—
477(C2×D11)⋊C4—41no—
478(C2×D11)⋊C4—41no—
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)⋊C4C22×C414yes—
489(C2×D11)⋊C4C22×C414yes—
490(C2×D11)⋊C4C22×C414yes—
491(C2×D11)⋊C4C22×C414yes—
492(C2×D11)⋊C4C22×C414yes—
493(C2×D11)⋊C4C22×C414yes—
494(C2×D11)⋊C4C22×C414yes—
495(C2×D11)⋊C4C22×C414yes—
496C4⋊Dic11—22no—
497C4⋊Dic11—22no—
498C4⋊Dic11—22no—
499C4⋊Dic11—41no—
500C4⋊Dic11—41no—
501C4⋊Dic11—41no—
502C4⋊Dic11—41no—
503C4⋊Dic11—41no—
504C4⋊Dic11C22×C414yes—
505C4⋊Dic11C22×C414yes—
506C4⋊Dic11C22×C414yes—
507Dic11⋊C4—22no—
508Dic11⋊C4—22no—
509Dic11⋊C4—41no—
510Dic11⋊C4—41no—
511Dic11⋊C4—41no—
512Dic11⋊C4—41no—
513Dic11⋊C4—41no—
514Dic11⋊C4—41no—
515Dic11⋊C4—41no—
516Dic11⋊C4—41no—
517Dic11⋊C4—41no—
518Dic11⋊C4—41no—
519Dic11⋊C4C22×C414yes—
520Dic11⋊C4C22×C414yes—
521Dic11⋊C4C22×C414yes—
522Dic11⋊C4C22×C414yes—
523Dic11⋊C4C22×C414yes—
524Dic11⋊C4C22×C414yes—
525C4×Dic11—22no—
526C4×Dic11—22no—
527C4×Dic11—22no—
528C4×Dic11—22no—
529C4×Dic11—22no—
530C4×Dic11—41no—
531C4×Dic11—41no—
532C4×Dic11—41no—
533C4×Dic11—41no—
534C4×Dic11—41no—
535C4×Dic11—41no—
536C4×Dic11—41no—
537C4×Dic11—41no—
538C4×Dic11—41no—
539C4×Dic11—41no—
540C4×Dic11—41no—
541C4×Dic11—41no—
542C4×Dic11—41no—
543C2×#543—111no—
544#2378—111no—
545#2378—111no—
546#2378—111no—
547#2378—111no—
548#2368—111no—
549#2368D1111yescharacteristic, complemented
550#2362—111no—
551#2362—111no—
552#2362—111no—
553#2362—111no—
554#2360—111no—
555#2360—111no—
556#2342—111no—
557#2342—111no—
558#2342—111no—
559#2342—111no—
560#2332—111no—
561#2332—111no—
562#2332—111no—
563#2332—111no—
564#2329—111no—
565#2329—111no—
566#2323—111no—
567#2323—111no—
568#2323—111no—
569#2323—111no—
570#2312—111no—
571C4×C22⋊Q8—111no—
572C4×C22⋊Q8—111no—
573C2×#388—111no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11—21no—
578C23×C11C23×C412yes—
579C23×C112−1+412yes—
580C23×C112−1+412yes—
581C23×C11C2511yescharacteristic
582C22×D11—21no—
583C22×D11—21no—
584C22×D11—21no—
585C22×D11—21no—
586C22×D11—21no—
587C22×D11—21no—
588C22×D11—21no—
589C22×D11—21no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—28no—
595C22×D11—44no—
596C22×D11—44no—
597C22×D11—82no—
598C22×D11—82no—
599C22×D11—82no—
600C22×D11—82no—
601C22×D11C23×C412yes—
602C22×D11C23×C412yes—
603Q8×C11—44no—
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—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—44no—
640C2×C4×C11—44no—
641C2×C4×C11—82no—
642C2×C4×C11C23×C412yes—
643C2×C4×C11C23×C412yes—
644C2×C4×C11C23×C412yes—
645C2×C4×C11C23×C412yes—
646C2×C4×C11C23×C412yes—
647C2×C4×C11C23×C412yes—
648C2×C4×C11H(5,𝔽2)12yes—
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—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—44no—
685C2×Dic11—44no—
686C2×Dic11—82no—
687C2×Dic11C23×C412yes—
688C2×Dic11C23×C412yes—
689C2×Dic11C23×C412yes—
690C2×Dic11C23×C412yes—
691C2×Dic11C23×C412yes—
692C2×Dic11C23×C412yes—
693C2×Dic11H(5,𝔽2)12yes—
694C4×D11—44no—
695C4×D11—44no—
696C4×D11—44no—
697C4×D11—44no—
698Dic22—44no—
699Dic22—44no—
700Dic22—44no—
701#543—1116no—
702C2×C22⋊Q8—111no—
703C2×C22⋊Q8—111no—
704C2×C22⋊Q8—111no—
705C2×C22⋊Q8—111no—
706C2×C22⋊Q8—111no—
707C2×C22⋊Q8—111no—
708C2×C22⋊Q8—111no—
709C2×C22⋊Q8—111no—
710C2×C22⋊Q8—111no—
711C2×C22⋊Q8—111no—
712C2×C22⋊Q8—111no—
713C2×C22⋊Q8C2×D1111yescharacteristic
714C2×C4×Q8—111no—
715C2×C4×Q8—111no—
716C2×C4×Q8—111no—
717C2×C4×Q8—111no—
718C2×#117—111no—
719C2×#117—111no—
720C2×#117—111no—
721C2×#117—111no—
722C22×C4⋊C4—111no—
723C22×C22⋊C4—111no—
724C22×C22⋊C4—111no—
725C22×C22⋊C4—111no—
726C22×C22⋊C4—111no—
727C22×C22⋊C4—111no—
728C22×C42—111no—
729#391—111no—
730#391—111no—
731#391—111no—
732#391—111no—
733#391—111no—
734#391—111no—
735#391—111no—
736#391—111no—
737#391—111no—
738#391—111no—
739#391C2×D1111yescharacteristic, complemented
740#391C2×D1111yescharacteristic, complemented
741#389—111no—
742#389—111no—
743#389—111no—
744#389—111no—
745#389—111no—
746#389—111no—
747#389—111no—
748#389—111no—
749#389—111no—
750#389—111no—
751#389—111no—
752#389—111no—
753#388—111no—
754#388—111no—
755#388—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#388—111no—
772#388—111no—
773#388—111no—
774#388—111no—
775#388—111no—
776#388—111no—
777#388—111no—
778#388—111no—
779#388—111no—
780#388—111no—
781#388—111no—
782#388—111no—
783#388—111no—
784#388—111no—
785#387—111no—
786#387—111no—
787#387—111no—
788#387—111no—
789#387—111no—
790#387—111no—
791#387—111no—
792#387—111no—
793#387—111no—
794#387—111no—
795#387—111no—
796#387—111no—
797#387—111no—
798#387—111no—
799#387—111no—
800#387—111no—
801#387—111no—
802#387—111no—
803#387—111no—
804#387—111no—
805#387C2×D1111yescharacteristic, complemented
806#387C2×D1111yescharacteristic, complemented
807#387C2×D1111yescharacteristic, complemented
808#387C2×D1111yescharacteristic, complemented
809#385—111no—
810#385—111no—
811#385—111no—
812#385—111no—
813#385—111no—
814#385—111no—
815#385C2×D1111yescharacteristic
816#385C2×D1111yescharacteristic
817#381—111no—
818#381—111no—
819#381—111no—
820#381—111no—
821#380—111no—
822#380—111no—
823#380—111no—
824#380—111no—
825#380—111no—
826#380—111no—
827#379—111no—
828#379—111no—
829C4×C4⋊C4—111no—
830C4×C4⋊C4—111no—
831C4×C4⋊C4—111no—
832C4×C4⋊C4—111no—
833C4×C4⋊C4—111no—
834C4×C4⋊C4—111no—
835C4×C4⋊C4—111no—
836C4×C4⋊C4—111no—
837C4×C4⋊C4—111no—
838C4×C4⋊C4—111no—
839C4×C4⋊C4C2×D1111yescharacteristic, complemented
840C4×C4⋊C4C2×D1111yescharacteristic, complemented
841C4×C22⋊C4—111no—
842C4×C22⋊C4—111no—
843C4×C22⋊C4—111no—
844C4×C22⋊C4—111no—
845C4×C22⋊C4—111no—
846C4×C22⋊C4—111no—
847C4×C22⋊C4—111no—
848C4×C22⋊C4—111no—
849C4×C22⋊C4—111no—
850C4×C22⋊C4—111no—
851C4×C22⋊C4—111no—
852C4×C22⋊C4C2×D1111yescharacteristic
853C4×C22⋊C4C2×D1111yescharacteristic
854C4×C22⋊C4C2×D1111yescharacteristic
855C2×#95—111no—
856C2×#95C2×D1111yescharacteristic
857C22×C11—22no—
858C22×C11—22no—
859C22×C11—22no—
860C22×C11—22no—
861C22×C11—22no—
862C22×C11—22no—
863C22×C11#51914yes—
864C22×C11C24×C411yescharacteristic
865C22×C11C2×H(5,𝔽2)11yescharacteristic
866C22×C11C2×H(5,𝔽2)11yescharacteristic
867C22×C11C2×2−1+411yescharacteristic
868C22×C11C2×2−1+411yescharacteristic
869C22×C11#58511yescharacteristic
870C22×C11#58511yescharacteristic
871C2×D11—22no—
872C2×D11—22no—
873C2×D11—22no—
874C2×D11—22no—
875C2×D11—22no—
876C2×D11—22no—
877C2×D11—41no—
878C2×D11—41no—
879C2×D11—41no—
880C2×D11—41no—
881C2×D11—41no—
882C2×D11—41no—
883C2×D11—41no—
884C2×D11—41no—
885C2×D11—88no—
886C4×C11—22no—
887C4×C11—22no—
888C4×C11—22no—
889C4×C11—22no—
890C4×C11—22no—
891C4×C11—22no—
892C4×C11—22no—
893C4×C11—41no—
894C4×C11—41no—
895C4×C11—41no—
896C4×C11—41no—
897C4×C11—41no—
898C4×C11—41no—
899C4×C11—41no—
900Dic11—22no—
901Dic11—22no—
902Dic11—22no—
903Dic11—22no—
904Dic11—22no—
905Dic11—22no—
906Dic11—22no—
907Dic11—41no—
908Dic11—41no—
909Dic11—41no—
910Dic11—41no—
911Dic11—41no—
912Dic11—41no—
913Dic11—41no—
914C25—111no—
915C22×Q8—111no—
916C22×Q8—111no—
917C22×Q8—111no—
918C22×Q8C22×D1111yescharacteristic
919C23×C4—111no—
920C23×C4—111no—
921C23×C4—111no—
922C23×C4—111no—
923C23×C4—111no—
924C23×C4—111no—
925C23×C4—111no—
926C23×C4C22×D1111yescharacteristic
927C23×C4C22×D1111yescharacteristic
928C23×C4C22×D1111yescharacteristic
929C22⋊Q8—118no—
930C22⋊Q8—118no—
931C22⋊Q8—118no—
932C22⋊Q8—118no—
933C22⋊Q8—118no—
934C22⋊Q8—118no—
935C22⋊Q8—118no—
936C22⋊Q8—118no—
937C22⋊Q8—118no—
938C22⋊Q8—118no—
939C22⋊Q8—118no—
940C22⋊Q8C4×D1118yes—
941C4×Q8—442no—
942C4×Q8—442no—
943C4×Q8—442no—
944C4×Q8—442no—
945#117—442no—
946#117—442no—
947#117—442no—
948#117—442no—
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—111no—
958C2×C4⋊C4—111no—
959C2×C4⋊C4—111no—
960C2×C4⋊C4—111no—
961C2×C4⋊C4—111no—
962C2×C4⋊C4—111no—
963C2×C4⋊C4—111no—
964C2×C4⋊C4—111no—
965C2×C4⋊C4—111no—
966C2×C4⋊C4—111no—
967C2×C4⋊C4—111no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—111no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4—111no—
973C2×C4⋊C4—111no—
974C2×C4⋊C4—111no—
975C2×C4⋊C4—111no—
976C2×C4⋊C4—111no—
977C2×C4⋊C4—111no—
978C2×C4⋊C4—442no—
979C2×C4⋊C4C22×D1111yescharacteristic
980C2×C4⋊C4C22×D1111yescharacteristic
981C2×C4⋊C4C22×D1111yescharacteristic
982C2×C4⋊C4C22×D1111yescharacteristic
983C2×C4⋊C4C22×D1111yescharacteristic
984C2×C4⋊C4C22×D1111yescharacteristic
985C2×C4⋊C4C22×D1111yescharacteristic
986C2×C22⋊C4—111no—
987C2×C22⋊C4—111no—
988C2×C22⋊C4—118no—
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—118no—
998C2×C22⋊C4—118no—
999C2×C22⋊C4—111no—
1000C2×C22⋊C4—111no—
1001C2×C22⋊C4—111no—
1002C2×C22⋊C4—111no—
1003C2×C22⋊C4—111no—
1004C2×C22⋊C4—111no—
1005C2×C22⋊C4—111no—
1006C2×C22⋊C4—111no—
1007C2×C22⋊C4—111no—
1008C2×C22⋊C4—111no—
1009C2×C22⋊C4—111no—
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—111no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4—111no—
1017C2×C22⋊C4—442no—
1018C2×C22⋊C4—442no—
1019C2×C22⋊C4C22×D1111yescharacteristic
1020C2×C22⋊C4C22×D1111yescharacteristic
1021C2×C22⋊C4C22×D1111yescharacteristic
1022C2×C22⋊C4C22×D1111yescharacteristic
1023C2×C42—111no—
1024C2×C42—111no—
1025C2×C42—111no—
1026C2×C42—111no—
1027C2×C42—111no—
1028C2×C42—111no—
1029C2×C42—111no—
1030C2×C42—111no—
1031C2×C42—111no—
1032C2×C42—111no—
1033C2×C42—111no—
1034C2×C42—111no—
1035C2×C42—111no—
1036C2×C42—111no—
1037C2×C42—111no—
1038C2×C42—111no—
1039C2×C42—111no—
1040C2×C42—111no—
1041C2×C42—442no—
1042C2×C42C22×D1111yescharacteristic
1043C2×C42C22×D1111yescharacteristic
1044C2×C42C22×D1111yescharacteristic
1045C2×C42C22×D1111yescharacteristic
1046C2×C42C22×D1111yescharacteristic
1047C2×C42C22×D1111yescharacteristic
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#95—111no—
1068#95—111no—
1069#95—111no—
1070#95—111no—
1071#95—111no—
1072#95—111no—
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#95C22×D1111yescharacteristic
1083#95C22×D1111yescharacteristic
1084#95C22×D1111yescharacteristic
1085#95C22×D1111yescharacteristic
1086#95C22×D1111yescharacteristic
1087#95C22×D1111yescharacteristic
1088#95C22×D1111yescharacteristic
1089#95C22×D1111yescharacteristic
1090#95C22×D1111yescharacteristic
1091#95C22×D1111yescharacteristic
1092#95C22×D1111yescharacteristic
1093#95C22×D1111yescharacteristic
1094#95C22×D1111yescharacteristic
1095#95C22×D1111yescharacteristic
1096C2×C11—24no—
1097C2×C11C2×#51911yescharacteristic
1098C2×C11C4×H(5,𝔽2)11yescharacteristic
1099C2×C11C4×H(5,𝔽2)11yescharacteristic
1100C2×C11#353511yescharacteristic
1101C2×C11#353611yescharacteristic
1102C2×C11#356111yescharacteristic
1103C2×C11#356411yescharacteristic
1104D11—42no—
1105D11—42no—
1106C24—111no—
1107C24—111no—
1108C24—114no—
1109C24—222no—
1110C24—222no—
1111C24—441no—
1112C24—441no—
1113C24—441no—
1114C24—441no—
1115C24C23×D1111yescharacteristic
1116C2×Q8—41no—
1117C2×Q8—41no—
1118C2×Q8—114no—
1119C2×Q8—114no—
1120C2×Q8—114no—
1121C2×Q8—441no—
1122C2×Q8—441no—
1123C2×Q8—441no—
1124C2×Q8—441no—
1125C2×Q8—441no—
1126C2×Q8—441no—
1127C2×Q8C2×C4×D1114yes—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—111no—
1137C22×C4—111no—
1138C22×C4—111no—
1139C22×C4—111no—
1140C22×C4—111no—
1141C22×C4—111no—
1142C22×C4—111no—
1143C22×C4—114no—
1144C22×C4—114no—
1145C22×C4—114no—
1146C22×C4—114no—
1147C22×C4—114no—
1148C22×C4—111no—
1149C22×C4—111no—
1150C22×C4—111no—
1151C22×C4—111no—
1152C22×C4—111no—
1153C22×C4—111no—
1154C22×C4—111no—
1155C22×C4—222no—
1156C22×C4—222no—
1157C22×C4—222no—
1158C22×C4—441no—
1159C22×C4—441no—
1160C22×C4—441no—
1161C22×C4—441no—
1162C22×C4—441no—
1163C22×C4—441no—
1164C22×C4—441no—
1165C22×C4—441no—
1166C22×C4—441no—
1167C22×C4—441no—
1168C22×C4—441no—
1169C22×C4—441no—
1170C22×C4—441no—
1171C22×C4C2×C4×D1114yes—
1172C22×C4C23×D1111yescharacteristic
1173C22×C4C23×D1111yescharacteristic
1174C22×C4C23×D1111yescharacteristic
1175C22×C4C23×D1111yescharacteristic
1176C22×C4C23×D1111yescharacteristic
1177C22×C4C23×D1111yescharacteristic
1178C22×C4C23×D1111yescharacteristic
1179C22×C4C23×D1111yescharacteristic
1180C22×C4C23×D1111yescharacteristic
1181C22×C4C23×D1111yescharacteristic
1182C22×C4C23×D1111yescharacteristic
1183C22×C4C23×D1111yescharacteristic
1184C22×C4C23×D1111yescharacteristic
1185C22×C4C23×D1111yescharacteristic
1186C4⋊C4—22no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—114no—
1191C4⋊C4—114no—
1192C4⋊C4—114no—
1193C4⋊C4—114no—
1194C4⋊C4—114no—
1195C4⋊C4—114no—
1196C4⋊C4—114no—
1197C4⋊C4—114no—
1198C4⋊C4—114no—
1199C4⋊C4—222no—
1200C4⋊C4—222no—
1201C4⋊C4—222no—
1202C4⋊C4—222no—
1203C4⋊C4—222no—
1204C4⋊C4—441no—
1205C4⋊C4—441no—
1206C4⋊C4—441no—
1207C4⋊C4—441no—
1208C4⋊C4—441no—
1209C4⋊C4—441no—
1210C4⋊C4—441no—
1211C4⋊C4—441no—
1212C4⋊C4—441no—
1213C4⋊C4—441no—
1214C4⋊C4—441no—
1215C4⋊C4—441no—
1216C4⋊C4—441no—
1217C4⋊C4—441no—
1218C4⋊C4—441no—
1219C4⋊C4C2×C4×D1114yes—
1220C4⋊C4C2×C4×D1114yes—
1221C4⋊C4C2×C4×D1114yes—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—114no—
1225C22⋊C4—114no—
1226C22⋊C4—114no—
1227C22⋊C4—114no—
1228C22⋊C4—114no—
1229C22⋊C4—114no—
1230C22⋊C4—114no—
1231C22⋊C4—114no—
1232C22⋊C4—114no—
1233C22⋊C4—114no—
1234C22⋊C4—222no—
1235C22⋊C4—222no—
1236C22⋊C4—222no—
1237C22⋊C4—222no—
1238C22⋊C4—222no—
1239C22⋊C4—222no—
1240C22⋊C4—441no—
1241C22⋊C4—441no—
1242C22⋊C4—441no—
1243C22⋊C4—441no—
1244C22⋊C4—441no—
1245C22⋊C4—441no—
1246C22⋊C4—441no—
1247C22⋊C4—441no—
1248C22⋊C4—441no—
1249C22⋊C4—441no—
1250C22⋊C4—441no—
1251C22⋊C4—441no—
1252C22⋊C4C2×C4×D1114yes—
1253C22⋊C4C2×C4×D1114yes—
1254C42—22no—
1255C42—41no—
1256C42—41no—
1257C42—41no—
1258C42—41no—
1259C42—41no—
1260C42—222no—
1261C42—222no—
1262C42—222no—
1263C42—222no—
1264C42—222no—
1265C42—441no—
1266C42—441no—
1267C42—441no—
1268C42—441no—
1269C42—441no—
1270C42—441no—
1271C42—441no—
1272C42—441no—
1273C42—441no—
1274C42—441no—
1275C42—441no—
1276C42—441no—
1277C42—441no—
1278C11#3443311yescharacteristic, complemented, Sylow
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—112no—
1284C23—112no—
1285C23—221no—
1286C23—221no—
1287C23—221no—
1288C23—221no—
1289C23—221no—
1290C23—221no—
1291C23—221no—
1292C23—221no—
1293C23—221no—
1294C23—221no—
1295C23—221no—
1296C23—221no—
1297C23—228no—
1298C23—444no—
1299C23—444no—
1300C23—882no—
1301C23—882no—
1302C23—882no—
1303C23—882no—
1304C23C22×C4×D1112yes—
1305C23#6704012yes—
1306C23#6704312yes—
1307C23C24×D1111yescharacteristic
1308Q8—44no—
1309Q8—444no—
1310Q8—444no—
1311Q8—444no—
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—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—44no—
1348C2×C4—44no—
1349C2×C4—82no—
1350C2×C4—112no—
1351C2×C4—112no—
1352C2×C4—112no—
1353C2×C4—112no—
1354C2×C4—112no—
1355C2×C4—112no—
1356C2×C4—112no—
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—221no—
1381C2×C4—221no—
1382C2×C4—221no—
1383C2×C4—221no—
1384C2×C4—221no—
1385C2×C4—221no—
1386C2×C4—221no—
1387C2×C4—221no—
1388C2×C4—221no—
1389C2×C4—221no—
1390C2×C4—221no—
1391C2×C4—221no—
1392C2×C4—444no—
1393C2×C4—444no—
1394C2×C4—444no—
1395C2×C4—444no—
1396C2×C4—444no—
1397C2×C4—444no—
1398C2×C4—882no—
1399C2×C4C22×C4×D1112yes—
1400C2×C4C22×C4×D1112yes—
1401C2×C4C22×C4×D1112yes—
1402C2×C4C22×C4×D1112yes—
1403C2×C4C22×C4×D1112yes—
1404C2×C4C22×C4×D1112yes—
1405C2×C4#6704212yes—
1406C22—22no—
1407C22—22no—
1408C22—22no—
1409C22—22no—
1410C22—22no—
1411C22—22no—
1412C22—222no—
1413C22—222no—
1414C22—222no—
1415C22—222no—
1416C22—222no—
1417C22—222no—
1418C22—441no—
1419C22—441no—
1420C22—441no—
1421C22—441no—
1422C22—441no—
1423C22—441no—
1424C22—441no—
1425C22—441no—
1426C22—888no—
1427C22#1062310314yes—
1428C22C23×C4×D1111yescharacteristic
1429C22C2×#6704011yescharacteristic
1430C22C2×#6704211yescharacteristic
1431C22C2×#6704311yescharacteristic
1432C22#1062345311yescharacteristic
1433C22D11×H(5,𝔽2)11yescharacteristic
1434C22#1062345511yescharacteristic
1435C4—22no—
1436C4—22no—
1437C4—22no—
1438C4—22no—
1439C4—22no—
1440C4—22no—
1441C4—22no—
1442C4—41no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C4—41no—
1449C4—222no—
1450C4—222no—
1451C4—222no—
1452C4—222no—
1453C4—222no—
1454C4—222no—
1455C4—222no—
1456C4—441no—
1457C4—441no—
1458C4—441no—
1459C4—441no—
1460C4—441no—
1461C4—441no—
1462C4—441no—
1463C2—24no—
1464C2—442no—
1465C2—442no—
1466C2C2×#1062310311yescharacteristic
1467C2#1308182011yescharacteristic
1468C2C4×#6704211yescharacteristic
1469C2#1308282111yescharacteristic
1470C2#1308284411yescharacteristic
1471C2#1308317411yescharacteristic
1472C2#1308323911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2368C2
socle, cosocleC23×C11C25
prime radicalC24×D11C23
hypercenter#2368D11
hypocenterC11#34433
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2368

Complements

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

NH ≅ G/Ntype
2. #13071781C2semidirect
3. #13071781C2semidirect
4. #13071780C2semidirect
5. #13071777C2semidirect
6. #13071696C2semidirect
7. #13071648C2semidirect
8. #13071645C2semidirect
9. #13071644C2semidirect
10. #13071638C2semidirect
11. #13071625C2semidirect
12. #13071619C2semidirect
17. #13071371C2semidirect
18. #13071370C2semidirect
19. #13071368C2semidirect
20. #13071367C2semidirect
21. #13071347C2semidirect
22. #13071344C2semidirect
23. #13071301C2semidirect
24. #13071299C2semidirect
25. #13071297C2semidirect
26. #13071297C2semidirect
28. #13071148C2semidirect
29. C4×#66931C2semidirect
31. C11×#2368C2semidirect
35. C2×Q8×Dic11C22semidirect
42. #10623165C4semidirect
51. C2×#66940C22semidirect
58. C2×C4×Dic22C22semidirect
59. C2×C4×Dic22C22semidirect
60. C11×#391C22semidirect
61. C11×#391C22semidirect
62. C11×#387C22semidirect
63. C11×#387C22semidirect
64. C11×#387C22semidirect
65. C11×#387C22semidirect
68. C4×C11×C4⋊C4C22semidirect
69. C4×C11×C4⋊C4C22semidirect
74. #10622843C22semidirect
87. #10622598C22semidirect
88. #10622598C22semidirect
89. #10622598C22semidirect
90. #10622594C22semidirect
91. #10622594C22semidirect
92. #10622591C22semidirect
93. #10622591C22semidirect
94. C4⋊C4×Dic11C22semidirect
95. C4⋊C4×Dic11C22semidirect
96. #10622587C22semidirect
97. #10622586C22semidirect
98. #10622585C22semidirect
99. #10622585C22semidirect
122. C4×C4⋊Dic11C22semidirect
123. C4×C4⋊Dic11C22semidirect
124. #10622546C22semidirect
125. #10622546C22semidirect
126. C4×Dic11⋊C4C22semidirect
127. C4×Dic11⋊C4C22semidirect
128. #10622542C22semidirect
129. #10622542C22semidirect
130. #10622541C22semidirect
131. #10622541C22semidirect
160. #10622268C22semidirect
161. #10622268C22semidirect
162. #10622268C22semidirect
163. #10622268C22semidirect
164. #10622267C22semidirect
165. #10622267C22semidirect
166. #10622266C22semidirect
167. #10622266C22semidirect
168. #10622266C22semidirect
169. #10622266C22semidirect
170. #10622265C22semidirect
171. #10622265C22semidirect
172. #10622265C22semidirect
173. #10622265C22semidirect
174. #10622262C22semidirect
175. #10622262C22semidirect
176. #10622262C22semidirect
177. #10622262C22semidirect
178. #10622260C22semidirect
179. #10622260C22semidirect
180. #10622260C22semidirect
181. #10622260C22semidirect
182. #10622259C22semidirect
183. #10622259C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
225. #66999C2×C4semidirect
226. #66999C2×C4semidirect
305. #66950C2×C4semidirect
306. #66950C2×C4semidirect
307. #66949C2×C4semidirect
308. #66949C2×C4semidirect
309. #66949C2×C4semidirect
310. #66949C2×C4semidirect
549. #2368D11semidirect
739. #391C2×D11semidirect
740. #391C2×D11semidirect
805. #387C2×D11semidirect
806. #387C2×D11semidirect
807. #387C2×D11semidirect
808. #387C2×D11semidirect
839. C4×C4⋊C4C2×D11semidirect
840. C4×C4⋊C4C2×D11semidirect
1278. C11#34433semidirect

Maximal subgroups

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

subgroupindex
C2×#106231652
#130717812
#130717802
#130717772
#130716962
#130716482
#130716452
#130716442
#130716382
#130716252
#130716192
#130714632
#130714592
#130713712
#130713702
#130713682
#130713672
#130713472
#130713442
#130713012
#130712992
#130712972
#130712112
#130711482
C4×#669312
C2×#106222832
C11×#23682
#3443311