Finite Group Databasebeta

← #14968009

Subgroups — #14968009

Order 2816.

1714 conjugacy classes of subgroups.

The subgroup lattice has 1456 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076957C211yesmaximal, characteristic, complemented
2#13076940C211yesmaximal, characteristic, complemented
3#13076523C211yesmaximal, characteristic, complemented
4#13076512C211yesmaximal, characteristic, complemented
5#13076444C211yesmaximal, characteristic, complemented
6#13076430C211yesmaximal, characteristic, complemented
7#13076225C211yesmaximal, characteristic, complemented
8#13076194C211yesmaximal, characteristic, complemented
9#13076139C211yesmaximal, characteristic, complemented
10#13076139C211yesmaximal, characteristic, complemented
11#13075984C211yesmaximal, characteristic, complemented
12#13075907C211yesmaximal, characteristic, complemented
13#13075738C211yesmaximal, characteristic, complemented
14#13075664C211yesmaximal, characteristic, complemented
15#13075622C211yesmaximal, characteristic, complemented
16#13075238C211yesmaximal, characteristic, complemented
17#13075211C211yesmaximal, characteristic, complemented
18#13074420C211yesmaximal, characteristic, complemented
19#13074390C211yesmaximal, characteristic
20#13073772C211yesmaximal, characteristic, complemented
21#13073507C211yesmaximal, characteristic
22#13073004C211yesmaximal, characteristic, complemented
23#13072949C211yesmaximal, characteristic, complemented
24#13072858C211yesmaximal, characteristic, complemented
25#13072745C211yesmaximal, characteristic
26#13072314C211yesmaximal, characteristic, complemented
27#13072062C211yesmaximal, characteristic, complemented
28#13071343C211yesmaximal, characteristic, complemented
29#13071248C211yesmaximal, characteristic, complemented
30D11×#388C211yesmaximal, characteristic, complemented
31C11×#2716C211yesmaximal, characteristic, complemented
32C2×C11×C4⋊Q8C2211yescharacteristic, complemented
33C2×C11×#126C2211yescharacteristic
34C2×#67000C2211yescharacteristic
35C2×#66999C2211yescharacteristic
36C2×#66999C2211yescharacteristic
37C2×#66949C2211yescharacteristic
38C2×#66949C2211yescharacteristic, complemented
39C2×#66947C2211yescharacteristic
40C2×#66946C2211yescharacteristic
41C2×C4⋊C4×D11C2211yescharacteristic
42C2×#66935C2211yescharacteristic
43C2×C22⋊C4×D11C2211yescharacteristic
44C2×C22⋊C4×D11C2211yescharacteristic
45C2×C22⋊C4×D11C2211yescharacteristic
46C2×C42×D11C2211yescharacteristic
47C11×#400C2211yescharacteristic, complemented
48C11×#398C2211yescharacteristic, complemented
49C11×#397C2211yescharacteristic
50C11×#396C2211yescharacteristic
51C11×#393C2211yescharacteristic
52C11×#393C2211yescharacteristic
53C11×#391C2211yescharacteristic, complemented
54C11×#391C2211yescharacteristic, complemented
55C11×#388C2211yescharacteristic
56C11×#388C2211yescharacteristic
57C11×#387C2211yescharacteristic, complemented
58C11×#387C2211yescharacteristic, complemented
59C11×#387C2211yescharacteristic, complemented
60#10622844C2211yescharacteristic
61#10622844C2211yescharacteristic, complemented
62#10622843C2211yescharacteristic, complemented
63#10622842C2211yescharacteristic, complemented
64#10622842C2211yescharacteristic, complemented
65#10622607C2211yescharacteristic
66#10622607C2211yescharacteristic
67#10622607C2211yescharacteristic, complemented
68#10622607C2211yescharacteristic, complemented
69#10622606C2211yescharacteristic
70#10622604C2211yescharacteristic
71#10622604C2211yescharacteristic
72#10622603C2211yescharacteristic
73#10622603C2211yescharacteristic
74#10622603C2211yescharacteristic
75#10622603C2211yescharacteristic
76#10622603C2211yescharacteristic, complemented
77#10622602C2211yescharacteristic
78#10622602C2211yescharacteristic
79#10622602C2211yescharacteristic
80#10622600C2211yescharacteristic
81#10622600C2211yescharacteristic
82#10622600C2211yescharacteristic, complemented
83#10622598C2211yescharacteristic, complemented
84#10622598C2211yescharacteristic, complemented
85#10622598C2211yescharacteristic, complemented
86#10622597C2211yescharacteristic, complemented
87#10622597C2211yescharacteristic, complemented
88#10622597C2211yescharacteristic, complemented
89#10622595C2211yescharacteristic, complemented
90#10622595C2211yescharacteristic, complemented
91#10622594C2211yescharacteristic, complemented
92#10622591C2211yescharacteristic, complemented
93#10622591C2211yescharacteristic, complemented
94#10622591C2211yescharacteristic, complemented
95#10622589C2211yescharacteristic, complemented
96#10622574C2211yescharacteristic
97#10622574C2211yescharacteristic
98#10622574C2211yescharacteristic
99#10622572C2211yescharacteristic
100#10622570C2211yescharacteristic
101#10622569C2211yescharacteristic
102#10622568C2211yescharacteristic
103#10622568C2211yescharacteristic
104#10622568C2211yescharacteristic
105#10622565C2211yescharacteristic
106#10622565C2211yescharacteristic
107#10622565C2211yescharacteristic
108#10622565C2211yescharacteristic
109#10622564C2211yescharacteristic
110#10622564C2211yescharacteristic
111#10622562C2211yescharacteristic
112#10622561C2211yescharacteristic
113#10622561C2211yescharacteristic
114#10622560C2211yescharacteristic
115#10622558C2211yescharacteristic
116#10622558C2211yescharacteristic
117#10622558C2211yescharacteristic
118#10622558C2211yescharacteristic
119#10622557C2211yescharacteristic
120#10622553C2211yescharacteristic
121#10622553C2211yescharacteristic
122#10622553C2211yescharacteristic
123#10622553C2211yescharacteristic, complemented
124#10622553C2211yescharacteristic, complemented
125#10622553C2211yescharacteristic, complemented
126C4×(C2×D11)⋊C4C2211yescharacteristic
127C4×(C2×D11)⋊C4C2211yescharacteristic
128#10622542C2211yescharacteristic, complemented
129#10622541C2211yescharacteristic, complemented
130#10622541C2211yescharacteristic, complemented
131#10622290C2211yescharacteristic
132#10622289C2211yescharacteristic
133#10622289C2211yescharacteristic
134#10622288C2211yescharacteristic
135#10622288C2211yescharacteristic
136#10622288C2211yescharacteristic
137#10622288C2211yescharacteristic, complemented
138#10622287C2211yescharacteristic
139#10622286C2211yescharacteristic
140#10622285C2211yescharacteristic
141#10622285C2211yescharacteristic
142#10622283C2211yescharacteristic
143#10622283C2211yescharacteristic
144#10622283C2211yescharacteristic, complemented
145#10622283C2211yescharacteristic, complemented
146#10622282C2211yescharacteristic
147#10622282C2211yescharacteristic, complemented
148#10622282C2211yescharacteristic, complemented
149#10622281C2211yescharacteristic
150#10622281C2211yescharacteristic
151#10622281C2211yescharacteristic
152#10622280C2211yescharacteristic
153#10622280C2211yescharacteristic, complemented
154#10622279C2211yescharacteristic
155#10622278C2211yescharacteristic
156#10622278C2211yescharacteristic
157#10622278C2211yescharacteristic
158#10622278C2211yescharacteristic
159#10622278C2211yescharacteristic
160#10622277C2211yescharacteristic
161#10622277C2211yescharacteristic
162#10622277C2211yescharacteristic
163#10622277C2211yescharacteristic, complemented
164D11×#95C2211yescharacteristic
165D11×#95C2211yescharacteristic
166C11⋊#401C2211yescharacteristic, complemented
167#10622273C2211yescharacteristic, complemented
168#10622271C2211yescharacteristic, complemented
169#10622268C2211yescharacteristic, complemented
170#10622267C2211yescharacteristic, complemented
171#10622267C2211yescharacteristic, complemented
172#10622267C2211yescharacteristic, complemented
173#10622265C2211yescharacteristic, complemented
174#10622265C2211yescharacteristic, complemented
175#10622265C2211yescharacteristic, complemented
176#10622265C2211yescharacteristic, complemented
177#10622265C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622264C2211yescharacteristic, complemented
180#10622264C2211yescharacteristic, complemented
181#10622263C2211yescharacteristic, complemented
182#10622263C2211yescharacteristic, complemented
183#10622260C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C22×D44C2311yescharacteristic
192C22×D44C2311yescharacteristic
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×Dic22C2311yescharacteristic
201C11×C4⋊Q8—42no—
202C11×#126—42no—
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228#67000—42no—
229#66999—42no—
230#66999—42no—
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×(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×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295#66949—24no—
296#66949—42no—
297#66947—42no—
298#66946—24no—
299C4⋊C4×D11—42no—
300#66935—42no—
301C22⋊C4×D11—24no—
302C22⋊C4×D11—42no—
303C22⋊C4×D11—42no—
304C42×D11—42no—
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11⋊#95C2311yescharacteristic
320C11⋊#95C2311yescharacteristic
321C11⋊#95C2311yescharacteristic
322C11⋊#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357#36988—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C23×D11—22no—
360C23×D11—22no—
361C23×D11—22no—
362C23×D11—41no—
363C23×D11—41no—
364C23×D11—41no—
365C23×D11—41no—
366C23×D11C2411yescharacteristic
367C23×D11C2411yescharacteristic
368C23×D11C2411yescharacteristic
369C2×Q8×C11—22no—
370C2×Q8×C11—41no—
371C2×Q8×C11—41no—
372C2×Q8×C11—41no—
373C2×Q8×C11—41no—
374C2×Q8×C11—41no—
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C2×C22⋊D11—41no—
390C2×C22⋊D11—41no—
391C2×C22⋊D11—41no—
392C22×Dic11C2411yescharacteristic
393C22×Dic11C2411yescharacteristic
394C22×Dic11C2411yescharacteristic
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C2×D44—22no—
406C2×D44—22no—
407C2×D44—22no—
408C2×D44—41no—
409C2×D44—41no—
410C2×D44—41no—
411C2×C4×D11—22no—
412C2×C4×D11—22no—
413C2×C4×D11—22no—
414C2×C4×D11—22no—
415C2×C4×D11—22no—
416C2×C4×D11—22no—
417C2×C4×D11—22no—
418C2×C4×D11—22no—
419C2×C4×D11—22no—
420C2×C4×D11—41no—
421C2×C4×D11—41no—
422C2×C4×D11—41no—
423C2×C4×D11—41no—
424C2×C4×D11—41no—
425C2×C4×D11—41no—
426C2×C4×D11—41no—
427C2×C4×D11—41no—
428C2×C4×D11—41no—
429C2×C4×D11—41no—
430C2×C4×D11—41no—
431C2×C4×D11#4114yes—
432C2×Dic22—22no—
433C2×Dic22—41no—
434C2×Dic22—41no—
435C11×C4⋊C4—22no—
436C11×C4⋊C4—22no—
437C11×C4⋊C4—22no—
438C11×C4⋊C4—22no—
439C11×C4⋊C4—22no—
440C11×C4⋊C4—41no—
441C11×C4⋊C4—41no—
442C11×C4⋊C4—41no—
443C11×C4⋊C4—41no—
444C11×C22⋊C4—22no—
445C11×C22⋊C4—22no—
446C11×C22⋊C4—41no—
447C11×C22⋊C4—41no—
448C11×C22⋊C4—41no—
449C11×C22⋊C4—41no—
450C11×C22⋊C4—41no—
451C42×C11—41no—
452C42×C11—41no—
453C42×C11—41no—
454C22⋊Dic11—22no—
455C22⋊Dic11—41no—
456C22⋊Dic11—41no—
457C22⋊Dic11—41no—
458C22⋊Dic11—41no—
459C22⋊Dic11—41no—
460(C2×D11)⋊C4—22no—
461(C2×D11)⋊C4—22no—
462(C2×D11)⋊C4—22no—
463(C2×D11)⋊C4—22no—
464(C2×D11)⋊C4—22no—
465(C2×D11)⋊C4—22no—
466(C2×D11)⋊C4—22no—
467(C2×D11)⋊C4—22no—
468(C2×D11)⋊C4—22no—
469(C2×D11)⋊C4—22no—
470(C2×D11)⋊C4—22no—
471(C2×D11)⋊C4—22no—
472(C2×D11)⋊C4—41no—
473(C2×D11)⋊C4—41no—
474(C2×D11)⋊C4—41no—
475(C2×D11)⋊C4—41no—
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)⋊C4—41no—
489(C2×D11)⋊C4—41no—
490(C2×D11)⋊C4—41no—
491C4⋊Dic11—41no—
492C4⋊Dic11—41no—
493C4⋊Dic11—41no—
494C4⋊Dic11—41no—
495C4⋊Dic11—41no—
496C4⋊Dic11—41no—
497C4⋊Dic11—41no—
498C4⋊Dic11—41no—
499Dic11⋊C4—22no—
500Dic11⋊C4—22no—
501Dic11⋊C4—22no—
502Dic11⋊C4—41no—
503Dic11⋊C4—41no—
504Dic11⋊C4—41no—
505Dic11⋊C4—41no—
506Dic11⋊C4—41no—
507Dic11⋊C4—41no—
508Dic11⋊C4—41no—
509Dic11⋊C4—41no—
510Dic11⋊C4—41no—
511Dic11⋊C4—41no—
512Dic11⋊C4—41no—
513Dic11⋊C4—41no—
514Dic11⋊C4—41no—
515Dic11⋊C4—41no—
516C4×Dic11—22no—
517C4×Dic11—41no—
518C4×Dic11—41no—
519C4×Dic11—41no—
520C4×Dic11—41no—
521C4×Dic11—41no—
522C4×Dic11—41no—
523C4×Dic11—41no—
524#2855—111no—
525#2853—111no—
526#2801—111no—
527#2800—111no—
528#2795—111no—
529#2793—111no—
530#2777—111no—
531#2775—111no—
532#2772—111no—
533#2772—111no—
534#2759—111no—
535#2754—111no—
536#2741—111no—
537#2737—111no—
538#2731—111no—
539#2716D1111yescharacteristic, complemented
540#2702—111no—
541#2700—111no—
542#2626—111no—
543#2622—111no—
544#2561—111no—
545#2534—111no—
546#2493—111no—
547#2488—111no—
548#2480—111no—
549#2472—111no—
550#2440—111no—
551#2417—111no—
552#2329—111no—
553#2318—111no—
554C2×#388—111no—
555C23×C11—21no—
556C23×C11—21no—
557C23×C11—21no—
558C23×C11—21no—
559C23×C11—21no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11C2511yescharacteristic
563C22×D11—21no—
564C22×D11—21no—
565C22×D11—21no—
566C22×D11—21no—
567C22×D11—21no—
568C22×D11—21no—
569C22×D11—21no—
570C22×D11—21no—
571C22×D11—21no—
572C22×D11—21no—
573C22×D11—21no—
574C22×D11—21no—
575C22×D11—21no—
576C22×D11—21no—
577C22×D11—21no—
578C22×D11—21no—
579C22×D11—21no—
580C22×D11—21no—
581C22×D11—44no—
582C22×D11—44no—
583C22×D11—44no—
584C22×D11—82no—
585C22×D11—82no—
586C22×D11—82no—
587C22×D11—82no—
588C22×D11C2×#4112yes—
589C22×D11H(5,𝔽2)12yes—
590C22×D112−1+412yes—
591Q8×C11—82no—
592Q8×C11—82no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11C2×#4112yes—
634C2×C4×C11H(5,𝔽2)12yes—
635C22⋊D11—82no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11C2×#4112yes—
675D44—44no—
676D44—82no—
677C4×D11—44no—
678C4×D11—44no—
679C4×D11—44no—
680C4×D11—44no—
681C4×D11—82no—
682C4×D11—82no—
683C4×D11—82no—
684Dic22—82no—
685C2×C4⋊Q8C2×D1111yescharacteristic, complemented
686C2×#126C2×D1111yescharacteristic
687C2×#124—111no—
688C2×#123—111no—
689C2×C22⋊Q8—111no—
690C2×C22⋊Q8—111no—
691C2×C22⋊Q8—111no—
692C2×C22⋊Q8—111no—
693C2×#120—111no—
694C2×C4×D4—111no—
695C22×C4⋊C4—111no—
696C22×C22⋊C4—111no—
697C22×C22⋊C4—111no—
698C22×C22⋊C4—111no—
699C22×C42—111no—
700#401—111no—
701#400—111no—
702#400—111no—
703#400—111no—
704#400—111no—
705#400C2×D1111yescharacteristic, complemented
706#399—111no—
707#399—111no—
708#398—111no—
709#398—111no—
710#398—111no—
711#398C2×D1111yescharacteristic, complemented
712#397—111no—
713#397—111no—
714#397—111no—
715#397—111no—
716#397—111no—
717#397—111no—
718#397—111no—
719#397—111no—
720#397—111no—
721#397—111no—
722#397C2×D1111yescharacteristic
723#396—111no—
724#396—111no—
725#396—111no—
726#396—111no—
727#396—111no—
728#396—111no—
729#396—111no—
730#396—111no—
731#396C2×D1111yescharacteristic
732#395—111no—
733#395—111no—
734#394—111no—
735#394—111no—
736#394—111no—
737#394—111no—
738#394—111no—
739#394—111no—
740#394—111no—
741#394—111no—
742#393—111no—
743#393—111no—
744#393—111no—
745#393—111no—
746#393C2×D1111yescharacteristic
747#393C2×D1111yescharacteristic
748#391—111no—
749#391—111no—
750#391—111no—
751#391—111no—
752#391C2×D1111yescharacteristic, complemented
753#391C2×D1111yescharacteristic, complemented
754#390—111no—
755#389—111no—
756#389—111no—
757#389—111no—
758#389—111no—
759#389—111no—
760#389—111no—
761#389—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#388—111no—
786#388—111no—
787#388C2×D1111yescharacteristic
788#388C2×D1111yescharacteristic
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#387C2×D1111yescharacteristic, complemented
804#387C2×D1111yescharacteristic, complemented
805#387C2×D1111yescharacteristic, complemented
806#386—111no—
807#386—111no—
808#386—111no—
809#386—111no—
810#386—111no—
811#386—111no—
812#385—111no—
813#385—111no—
814#385—111no—
815#385—111no—
816#385—111no—
817#385—111no—
818#384—111no—
819#383—111no—
820#383—111no—
821#382—111no—
822#382—111no—
823#381—111no—
824#381—111no—
825#381—111no—
826#381—111no—
827#380—111no—
828#380—111no—
829#380—111no—
830#380—111no—
831#380—111no—
832#379—111no—
833#379—111no—
834#379—111no—
835C4×C22⋊C4—111no—
836C4×C22⋊C4—111no—
837C4×C22⋊C4—111no—
838C2×#95—111no—
839C2×#95—111no—
840C22×C11—41no—
841C22×C11—41no—
842C22×C11—41no—
843C22×C11—41no—
844C22×C11—41no—
845C22×C11—41no—
846C22×C11—41no—
847C22×C11C22×#4111yescharacteristic
848C22×C11C2×H(5,𝔽2)11yescharacteristic
849C22×C11C2×H(5,𝔽2)11yescharacteristic
850C22×C11C2×2−1+411yescharacteristic
851C22×C11#58511yescharacteristic
852C22×C11#58511yescharacteristic
853C22×C11#58511yescharacteristic
854C2×D11—22no—
855C2×D11—22no—
856C2×D11—22no—
857C2×D11—22no—
858C2×D11—22no—
859C2×D11—22no—
860C2×D11—41no—
861C2×D11—41no—
862C2×D11—41no—
863C2×D11—41no—
864C2×D11—41no—
865C2×D11—41no—
866C2×D11—41no—
867C2×D11—41no—
868C2×D11—41no—
869C2×D11—41no—
870C2×D11—41no—
871C2×D11—41no—
872C2×D11—41no—
873C2×D11—41no—
874C2×D11—88no—
875C2×D11#54214yes—
876C4×C11—22no—
877C4×C11—22no—
878C4×C11—41no—
879C4×C11—41no—
880C4×C11—41no—
881C4×C11—41no—
882C4×C11—41no—
883C4×C11—41no—
884C4×C11—41no—
885C4×C11—41no—
886C4×C11—41no—
887C4×C11—41no—
888C4×C11—41no—
889C4×C11—41no—
890Dic11—22no—
891Dic11—41no—
892Dic11—41no—
893Dic11—41no—
894Dic11—41no—
895Dic11—41no—
896Dic11—41no—
897Dic11—41no—
898Dic11—41no—
899Dic11—41no—
900Dic11—41no—
901Dic11—41no—
902Dic11—41no—
903C25—111no—
904C22×Q8—111no—
905C22×Q8C22×D1111yescharacteristic
906C22×Q8C22×D1111yescharacteristic
907C22×D4—111no—
908C22×D4—111no—
909C22×D4—111no—
910C23×C4—111no—
911C23×C4—111no—
912C23×C4—111no—
913C23×C4—111no—
914C23×C4—111no—
915C23×C4—111no—
916C23×C4—111no—
917C4⋊Q8—42no—
918#126—42no—
919#124—442no—
920#123—442no—
921C22⋊Q8—224no—
922C22⋊Q8—442no—
923C22⋊Q8—442no—
924C22⋊Q8—442no—
925#120—442no—
926C4×D4—224no—
927C2×C4⋊C4—111no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
931C2×C4⋊C4—111no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—111no—
937C2×C4⋊C4—111no—
938C2×C4⋊C4—111no—
939C2×C4⋊C4—111no—
940C2×C4⋊C4—111no—
941C2×C4⋊C4—111no—
942C2×C4⋊C4—111no—
943C2×C4⋊C4—111no—
944C2×C4⋊C4—111no—
945C2×C4⋊C4—111no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4—111no—
950C2×C4⋊C4—111no—
951C2×C4⋊C4—111no—
952C2×C4⋊C4—442no—
953C2×C4⋊C4C22×D1111yescharacteristic
954C2×C4⋊C4C22×D1111yescharacteristic
955C2×C4⋊C4C22×D1111yescharacteristic
956C2×C4⋊C4C22×D1111yescharacteristic
957C2×C4⋊C4C22×D1111yescharacteristic
958C2×C4⋊C4C22×D1111yescharacteristic
959C2×C4⋊C4C22×D1111yescharacteristic
960C2×C4⋊C4C22×D1111yescharacteristic
961C2×C4⋊C4C22×D1111yescharacteristic
962C2×C22⋊C4—111no—
963C2×C22⋊C4—111no—
964C2×C22⋊C4—111no—
965C2×C22⋊C4—111no—
966C2×C22⋊C4—111no—
967C2×C22⋊C4—111no—
968C2×C22⋊C4—111no—
969C2×C22⋊C4—111no—
970C2×C22⋊C4—111no—
971C2×C22⋊C4—111no—
972C2×C22⋊C4—111no—
973C2×C22⋊C4—111no—
974C2×C22⋊C4—111no—
975C2×C22⋊C4—111no—
976C2×C22⋊C4—111no—
977C2×C22⋊C4—111no—
978C2×C22⋊C4—111no—
979C2×C22⋊C4—111no—
980C2×C22⋊C4—111no—
981C2×C22⋊C4—111no—
982C2×C22⋊C4—111no—
983C2×C22⋊C4—111no—
984C2×C22⋊C4—111no—
985C2×C22⋊C4—111no—
986C2×C22⋊C4—111no—
987C2×C22⋊C4—111no—
988C2×C22⋊C4—111no—
989C2×C22⋊C4—111no—
990C2×C22⋊C4—111no—
991C2×C22⋊C4—111no—
992C2×C22⋊C4—111no—
993C2×C22⋊C4—111no—
994C2×C22⋊C4—111no—
995C2×C22⋊C4—111no—
996C2×C22⋊C4—111no—
997C2×C22⋊C4—111no—
998C2×C22⋊C4—111no—
999C2×C22⋊C4—224no—
1000C2×C22⋊C4—442no—
1001C2×C22⋊C4—442no—
1002C2×C22⋊C4C22×D1111yescharacteristic
1003C2×C22⋊C4C22×D1111yescharacteristic
1004C2×C22⋊C4C22×D1111yescharacteristic
1005C2×C22⋊C4C22×D1111yescharacteristic
1006C2×C22⋊C4C22×D1111yescharacteristic
1007C2×C22⋊C4C22×D1111yescharacteristic
1008C2×C22⋊C4C22×D1111yescharacteristic
1009C2×C42—111no—
1010C2×C42—111no—
1011C2×C42—111no—
1012C2×C42—111no—
1013C2×C42—111no—
1014C2×C42—111no—
1015C2×C42—111no—
1016C2×C42—111no—
1017C2×C42—442no—
1018C2×C42C22×D1111yescharacteristic
1019C2×C42C22×D1111yescharacteristic
1020C2×C42C22×D1111yescharacteristic
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95—111no—
1040#95—111no—
1041#95—111no—
1042#95—111no—
1043#95—111no—
1044#95—111no—
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95—111no—
1059#95C22×D1111yescharacteristic
1060#95C22×D1111yescharacteristic
1061#95C22×D1111yescharacteristic
1062#95C22×D1111yescharacteristic
1063#95C22×D1111yescharacteristic
1064#95C22×D1111yescharacteristic
1065#95C22×D1111yescharacteristic
1066#95C22×D1111yescharacteristic
1067#95C22×D1111yescharacteristic
1068#95C22×D1111yescharacteristic
1069#95C22×D1111yescharacteristic
1070#95C22×D1111yescharacteristic
1071#95C22×D1111yescharacteristic
1072#95C22×D1111yescharacteristic
1073C2×C11—81no—
1074C2×C11C2×#54211yescharacteristic
1075C2×C11#349311yescharacteristic
1076C2×C11#350511yescharacteristic
1077C2×C11#353311yescharacteristic
1078C2×C11#353411yescharacteristic
1079C2×C11#356111yescharacteristic
1080C2×C11#356411yescharacteristic
1081D11—24no—
1082D11—81no—
1083D11—81no—
1084C24—111no—
1085C24—111no—
1086C24—111no—
1087C24—222no—
1088C24—222no—
1089C24—222no—
1090C24—441no—
1091C24—441no—
1092C24—441no—
1093C24—441no—
1094C24C23×D1111yescharacteristic
1095C2×Q8—22no—
1096C2×Q8—41no—
1097C2×Q8—41no—
1098C2×Q8—41no—
1099C2×Q8—41no—
1100C2×Q8—41no—
1101C2×Q8—222no—
1102C2×Q8—441no—
1103C2×Q8—441no—
1104C2×D4—222no—
1105C2×D4—222no—
1106C2×D4—222no—
1107C2×D4—441no—
1108C2×D4—441no—
1109C2×D4—441no—
1110C2×D4—441no—
1111C2×D4—441no—
1112C2×D4—441no—
1113C22×C4—111no—
1114C22×C4—114no—
1115C22×C4—111no—
1116C22×C4—111no—
1117C22×C4—111no—
1118C22×C4—111no—
1119C22×C4—111no—
1120C22×C4—111no—
1121C22×C4—111no—
1122C22×C4—111no—
1123C22×C4—111no—
1124C22×C4—111no—
1125C22×C4—111no—
1126C22×C4—111no—
1127C22×C4—222no—
1128C22×C4—222no—
1129C22×C4—222no—
1130C22×C4—222no—
1131C22×C4—222no—
1132C22×C4—222no—
1133C22×C4—222no—
1134C22×C4—222no—
1135C22×C4—222no—
1136C22×C4—441no—
1137C22×C4—441no—
1138C22×C4—441no—
1139C22×C4—441no—
1140C22×C4—441no—
1141C22×C4—441no—
1142C22×C4—441no—
1143C22×C4—441no—
1144C22×C4—441no—
1145C22×C4—441no—
1146C22×C4—441no—
1147C22×C4C23×D1111yescharacteristic
1148C22×C4C23×D1111yescharacteristic
1149C22×C4C23×D1111yescharacteristic
1150C22×C4C23×D1111yescharacteristic
1151C22×C4C23×D1111yescharacteristic
1152C22×C4C23×D1111yescharacteristic
1153C22×C4C23×D1111yescharacteristic
1154C22×C4C23×D1111yescharacteristic
1155C22×C4C23×D1111yescharacteristic
1156C22×C4C23×D1111yescharacteristic
1157C22×C4C23×D1111yescharacteristic
1158C22×C4C23×D1111yescharacteristic
1159C22×C4C23×D1111yescharacteristic
1160C22×C4C23×D1111yescharacteristic
1161C4⋊C4—22no—
1162C4⋊C4—22no—
1163C4⋊C4—22no—
1164C4⋊C4—22no—
1165C4⋊C4—22no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—222no—
1171C4⋊C4—222no—
1172C4⋊C4—222no—
1173C4⋊C4—441no—
1174C4⋊C4—441no—
1175C4⋊C4—441no—
1176C4⋊C4—441no—
1177C4⋊C4—441no—
1178C4⋊C4—441no—
1179C4⋊C4—441no—
1180C4⋊C4—441no—
1181C4⋊C4—441no—
1182C4⋊C4—441no—
1183C4⋊C4—441no—
1184C4⋊C4—441no—
1185C4⋊C4—441no—
1186C4⋊C4—441no—
1187C4⋊C4—441no—
1188C4⋊C4—441no—
1189C4⋊C4—441no—
1190C4⋊C4—441no—
1191C4⋊C4—441no—
1192C4⋊C4—441no—
1193C4⋊C4—441no—
1194C4⋊C4—441no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—41no—
1198C22⋊C4—41no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C22⋊C4—41no—
1202C22⋊C4—222no—
1203C22⋊C4—222no—
1204C22⋊C4—222no—
1205C22⋊C4—222no—
1206C22⋊C4—222no—
1207C22⋊C4—222no—
1208C22⋊C4—222no—
1209C22⋊C4—222no—
1210C22⋊C4—222no—
1211C22⋊C4—222no—
1212C22⋊C4—222no—
1213C22⋊C4—222no—
1214C22⋊C4—222no—
1215C22⋊C4—441no—
1216C22⋊C4—441no—
1217C22⋊C4—441no—
1218C22⋊C4—441no—
1219C22⋊C4—441no—
1220C22⋊C4—441no—
1221C22⋊C4—441no—
1222C22⋊C4—441no—
1223C22⋊C4—441no—
1224C22⋊C4—441no—
1225C22⋊C4—441no—
1226C22⋊C4—441no—
1227C22⋊C4—441no—
1228C22⋊C4—441no—
1229C22⋊C4—441no—
1230C22⋊C4—441no—
1231C22⋊C4—441no—
1232C22⋊C4—441no—
1233C22⋊C4—441no—
1234C22⋊C4—441no—
1235C22⋊C4—441no—
1236C22⋊C4—441no—
1237C22⋊C4—441no—
1238C22⋊C4—441no—
1239C42—41no—
1240C42—41no—
1241C42—41no—
1242C42—222no—
1243C42—441no—
1244C42—441no—
1245C42—441no—
1246C42—441no—
1247C42—441no—
1248C42—441no—
1249C42—441no—
1250C11#3698811yescharacteristic, complemented, Sylow
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—112no—
1259C23—112no—
1260C23—112no—
1261C23—221no—
1262C23—221no—
1263C23—221no—
1264C23—221no—
1265C23—221no—
1266C23—221no—
1267C23—221no—
1268C23—221no—
1269C23—221no—
1270C23—221no—
1271C23—221no—
1272C23—221no—
1273C23—221no—
1274C23—221no—
1275C23—221no—
1276C23—221no—
1277C23—221no—
1278C23—221no—
1279C23—444no—
1280C23—444no—
1281C23—444no—
1282C23—882no—
1283C23—882no—
1284C23—882no—
1285C23—882no—
1286C23C24×D1111yescharacteristic
1287Q8—82no—
1288Q8—82no—
1289Q8—882no—
1290D4—444no—
1291D4—882no—
1292D4—882no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—112no—
1334C2×C4—221no—
1335C2×C4—221no—
1336C2×C4—221no—
1337C2×C4—221no—
1338C2×C4—221no—
1339C2×C4—221no—
1340C2×C4—221no—
1341C2×C4—221no—
1342C2×C4—221no—
1343C2×C4—221no—
1344C2×C4—221no—
1345C2×C4—221no—
1346C2×C4—221no—
1347C2×C4—221no—
1348C2×C4—221no—
1349C2×C4—221no—
1350C2×C4—221no—
1351C2×C4—221no—
1352C2×C4—221no—
1353C2×C4—221no—
1354C2×C4—221no—
1355C2×C4—221no—
1356C2×C4—221no—
1357C2×C4—221no—
1358C2×C4—221no—
1359C2×C4—221no—
1360C2×C4—221no—
1361C2×C4—221no—
1362C2×C4—221no—
1363C2×C4—221no—
1364C2×C4—221no—
1365C2×C4—221no—
1366C2×C4—221no—
1367C2×C4—221no—
1368C2×C4—221no—
1369C2×C4—221no—
1370C2×C4—221no—
1371C2×C4—221no—
1372C2×C4—444no—
1373C2×C4—444no—
1374C2×C4—444no—
1375C2×C4—444no—
1376C2×C4—882no—
1377C2×C4—882no—
1378C2×C4—882no—
1379C2×C4#6703712yes—
1380C2×C4#41×D1112yes—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—114no—
1389C22—222no—
1390C22—222no—
1391C22—222no—
1392C22—222no—
1393C22—222no—
1394C22—222no—
1395C22—441no—
1396C22—441no—
1397C22—441no—
1398C22—441no—
1399C22—441no—
1400C22—441no—
1401C22—441no—
1402C22—441no—
1403C22—441no—
1404C22—441no—
1405C22—441no—
1406C22—441no—
1407C22—441no—
1408C22—441no—
1409C22—888no—
1410C22C2×#6703711yescharacteristic
1411C22C2×#41×D1111yescharacteristic
1412C22#1062345311yescharacteristic
1413C22D11×H(5,𝔽2)11yescharacteristic
1414C22D11×2−1+411yescharacteristic
1415C22#1062345711yescharacteristic
1416C22#1062345711yescharacteristic
1417C4—22no—
1418C4—22no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—222no—
1432C4—441no—
1433C4—441no—
1434C4—441no—
1435C4—441no—
1436C4—441no—
1437C4—441no—
1438C4—441no—
1439C4—441no—
1440C4—441no—
1441C4—441no—
1442C4—441no—
1443C4—441no—
1444C2—81no—
1445C2—224no—
1446C2—881no—
1447C2—881no—
1448C2D11×#54211yescharacteristic
1449C2#1308233011yescharacteristic
1450C2#1308245211yescharacteristic
1451C2#1308279211yescharacteristic
1452C2#1308280111yescharacteristic
1453C2#1308317711yescharacteristic
1454C2#1308322911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2716C2
prime radicalC2×#66935C22
hypercenter#2716D11
hypocenterC11#36988
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2716

Complements

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

NH ≅ G/Ntype
1. #13076957C2semidirect
2. #13076940C2semidirect
3. #13076523C2semidirect
4. #13076512C2semidirect
5. #13076444C2semidirect
6. #13076430C2semidirect
7. #13076225C2semidirect
8. #13076194C2semidirect
9. #13076139C2semidirect
10. #13076139C2semidirect
11. #13075984C2semidirect
12. #13075907C2semidirect
13. #13075738C2semidirect
14. #13075664C2semidirect
15. #13075622C2semidirect
16. #13075238C2semidirect
17. #13075211C2semidirect
18. #13074420C2semidirect
20. #13073772C2semidirect
22. #13073004C2semidirect
23. #13072949C2semidirect
24. #13072858C2semidirect
26. #13072314C2semidirect
27. #13072062C2semidirect
28. #13071343C2semidirect
29. #13071248C2semidirect
30. D11×#388C2semidirect
31. C11×#2716C2semidirect
32. C2×C11×C4⋊Q8C22semidirect
38. C2×#66949C22semidirect
47. C11×#400C22semidirect
48. C11×#398C22semidirect
53. C11×#391C22semidirect
54. C11×#391C22semidirect
57. C11×#387C22semidirect
58. C11×#387C22semidirect
59. C11×#387C22semidirect
61. #10622844C22semidirect
62. #10622843C22semidirect
63. #10622842C22semidirect
64. #10622842C22semidirect
67. #10622607C22semidirect
68. #10622607C22semidirect
76. #10622603C22semidirect
82. #10622600C22semidirect
83. #10622598C22semidirect
84. #10622598C22semidirect
85. #10622598C22semidirect
86. #10622597C22semidirect
87. #10622597C22semidirect
88. #10622597C22semidirect
89. #10622595C22semidirect
90. #10622595C22semidirect
91. #10622594C22semidirect
92. #10622591C22semidirect
93. #10622591C22semidirect
94. #10622591C22semidirect
95. #10622589C22semidirect
123. #10622553C22semidirect
124. #10622553C22semidirect
125. #10622553C22semidirect
128. #10622542C22semidirect
129. #10622541C22semidirect
130. #10622541C22semidirect
137. #10622288C22semidirect
144. #10622283C22semidirect
145. #10622283C22semidirect
147. #10622282C22semidirect
148. #10622282C22semidirect
153. #10622280C22semidirect
163. #10622277C22semidirect
166. C11⋊#401C22semidirect
167. #10622273C22semidirect
168. #10622271C22semidirect
169. #10622268C22semidirect
170. #10622267C22semidirect
171. #10622267C22semidirect
172. #10622267C22semidirect
173. #10622265C22semidirect
174. #10622265C22semidirect
175. #10622265C22semidirect
176. #10622265C22semidirect
177. #10622265C22semidirect
178. #10622265C22semidirect
179. #10622264C22semidirect
180. #10622264C22semidirect
181. #10622263C22semidirect
182. #10622263C22semidirect
183. #10622260C22semidirect
184. #10622260C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
539. #2716D11semidirect
685. C2×C4⋊Q8C2×D11semidirect
705. #400C2×D11semidirect
711. #398C2×D11semidirect
752. #391C2×D11semidirect
753. #391C2×D11semidirect
803. #387C2×D11semidirect
804. #387C2×D11semidirect
805. #387C2×D11semidirect
1250. C11#36988semidirect

Maximal subgroups

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

subgroupindex
#130769572
#130769402
#130765232
#130765122
#130764442
#130764302
#130762252
#130761942
#130761392
#130759842
#130759072
#130757382
#130756642
#130756222
#130752382
#130752112
#130744202
#130743902
#130737722
#130735072
#130730042
#130729492
#130728582
#130727452
#130723142
#130720622
#130713432
#130712482
D11×#3882
C11×#27162
#3698811