Finite Group Databasebeta

← #14919926

Subgroups — #14919926

Order 2816.

2008 conjugacy classes of subgroups.

The subgroup lattice has 1380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623266C211yesmaximal, characteristic
2#13071800C211yesmaximal, characteristic, complemented
3#13071798C211yesmaximal, characteristic, complemented
4#13071788C211yesmaximal, characteristic
5#13071736C211yesmaximal, characteristic, complemented
6#13071736C211yesmaximal, characteristic, complemented
7#13071735C211yesmaximal, characteristic, complemented
8#13071730C211yesmaximal, characteristic, complemented
9#13071695C211yesmaximal, characteristic, complemented
10#13071693C211yesmaximal, characteristic, complemented
11#13071676C211yesmaximal, characteristic, complemented
12#13071673C211yesmaximal, characteristic, complemented
13#13071648C211yesmaximal, characteristic, complemented
14#13071644C211yesmaximal, characteristic, complemented
15#13071603C211yesmaximal, characteristic
16#13071601C211yesmaximal, characteristic
17#13071405C211yesmaximal, characteristic
18#13071400C211yesmaximal, characteristic
19#13071397C211yesmaximal, characteristic, complemented
20#13071387C211yesmaximal, characteristic, complemented
21#13071387C211yesmaximal, characteristic, complemented
22#13071384C211yesmaximal, characteristic, complemented
23#13071359C211yesmaximal, characteristic, complemented
24#13071350C211yesmaximal, characteristic, complemented
25#13071348C211yesmaximal, characteristic, complemented
26#13071301C211yesmaximal, characteristic, complemented
27#13071297C211yesmaximal, characteristic, complemented
28#13071173C211yesmaximal, characteristic, complemented
29C4×#66942C211yesmaximal, characteristic, complemented
30#13071159C211yesmaximal, characteristic
31C11×#2331C211yesmaximal, characteristic, complemented
32C2×C11×C4⋊Q8C2211yescharacteristic
33C2×#67000C2211yescharacteristic
34C2×#66999C2211yescharacteristic
35C2×#66999C2211yescharacteristic
36C2×Q8×Dic11C2211yescharacteristic
37C2×Q8×Dic11C2211yescharacteristic
38C2×#66997C2211yescharacteristic
39#10623266C4116yescomplemented
40C2×#66951C2211yescharacteristic
41C2×#66951C2211yescharacteristic
42C2×#66949C2211yescharacteristic
43C2×#66949C2211yescharacteristic
44C2×#66947C2211yescharacteristic
45C2×#66947C2211yescharacteristic
46C2×#66946C2211yescharacteristic
47C2×#66945C2211yescharacteristic
48C2×#66942C2211yescharacteristic
49C2×#66942C2211yescharacteristic
50C2×#66929C2211yescharacteristic
51C2×#66929C2211yescharacteristic
52C2×#66925C2211yescharacteristic
53C2×C4×Dic22C2211yescharacteristic
54C11×#391C2211yescharacteristic
55C11×#391C2211yescharacteristic
56C11×#391C2211yescharacteristic
57C11×#391C2211yescharacteristic
58C11×#389C2211yescharacteristic
59C11×#389C2211yescharacteristic
60C11×#387C2211yescharacteristic
61C11×#387C2211yescharacteristic
62C11×#387C2211yescharacteristic
63C11×#387C2211yescharacteristic
64C11×#382C2211yescharacteristic
65C4×C11×C4⋊C4C2211yescharacteristic
66C4×C11×C4⋊C4C2211yescharacteristic
67C11×#376C2211yescharacteristic
68#10622843C2211yescharacteristic
69#10622843C2211yescharacteristic
70#10622603C2211yescharacteristic
71#10622603C2211yescharacteristic
72#10622602C2211yescharacteristic
73#10622602C2211yescharacteristic
74#10622602C2211yescharacteristic
75#10622602C2211yescharacteristic
76#10622602C2211yescharacteristic
77#10622602C2211yescharacteristic
78#10622600C2211yescharacteristic
79#10622598C2211yescharacteristic
80#10622598C2211yescharacteristic
81#10622594C2211yescharacteristic
82#10622594C2211yescharacteristic
83#10622594C2211yescharacteristic
84#10622594C2211yescharacteristic
85#10622591C2211yescharacteristic
86#10622591C2211yescharacteristic
87#10622591C2211yescharacteristic
88#10622591C2211yescharacteristic
89#10622590C2211yescharacteristic
90C4⋊C4×Dic11C2211yescharacteristic
91C4⋊C4×Dic11C2211yescharacteristic
92C4⋊C4×Dic11C2211yescharacteristic
93C4⋊C4×Dic11C2211yescharacteristic
94#10622587C2211yescharacteristic
95#10622586C2211yescharacteristic
96#10622585C2211yescharacteristic
97#10622585C2211yescharacteristic
98#10622585C2211yescharacteristic
99#10622585C2211yescharacteristic
100#10622553C2211yescharacteristic
101#10622553C2211yescharacteristic
102#10622553C2211yescharacteristic
103#10622553C2211yescharacteristic
104#10622552C2211yescharacteristic
105C4×(C2×D11)⋊C4C2211yescharacteristic
106C4×(C2×D11)⋊C4C2211yescharacteristic
107C4×(C2×D11)⋊C4C2211yescharacteristic
108C4×(C2×D11)⋊C4C2211yescharacteristic
109C4×(C2×D11)⋊C4C2211yescharacteristic
110C4×C4⋊Dic11C2211yescharacteristic
111C4×C4⋊Dic11C2211yescharacteristic
112C4×C4⋊Dic11C2211yescharacteristic
113#10622546C2211yescharacteristic
114#10622546C2211yescharacteristic
115#10622546C2211yescharacteristic
116#10622546C2211yescharacteristic
117C4×Dic11⋊C4C2211yescharacteristic
118C4×Dic11⋊C4C2211yescharacteristic
119C4×Dic11⋊C4C2211yescharacteristic
120C4×Dic11⋊C4C2211yescharacteristic
121C4×Dic11⋊C4C2211yescharacteristic
122C42×Dic11C2211yescharacteristic
123#10622541C2211yescharacteristic
124#10622283C2211yescharacteristic
125#10622283C2211yescharacteristic
126#10622283C2211yescharacteristic
127#10622283C2211yescharacteristic
128#10622283C2211yescharacteristic
129#10622283C2211yescharacteristic
130#10622283C2211yescharacteristic
131#10622283C2211yescharacteristic
132#10622282C2211yescharacteristic
133#10622282C2211yescharacteristic
134#10622282C2211yescharacteristic
135#10622282C2211yescharacteristic
136#10622282C2211yescharacteristic
137#10622282C2211yescharacteristic
138#10622281C2211yescharacteristic
139#10622281C2211yescharacteristic
140#10622281C2211yescharacteristic
141#10622281C2211yescharacteristic
142#10622280C2211yescharacteristic
143#10622279C2211yescharacteristic
144#10622279C2211yescharacteristic
145#10622279C2211yescharacteristic
146#10622279C2211yescharacteristic
147#10622279C2211yescharacteristic
148#10622279C2211yescharacteristic
149#10622279C2211yescharacteristic
150#10622278C2211yescharacteristic
151#10622278C2211yescharacteristic
152D11×#95C2211yescharacteristic
153D11×#95C2211yescharacteristic
154#10622268C2211yescharacteristic
155#10622268C2211yescharacteristic
156#10622268C2211yescharacteristic
157#10622268C2211yescharacteristic
158#10622268C2211yescharacteristic
159#10622268C2211yescharacteristic
160#10622267C2211yescharacteristic
161#10622267C2211yescharacteristic
162#10622266C2211yescharacteristic
163#10622266C2211yescharacteristic
164#10622265C2211yescharacteristic
165#10622265C2211yescharacteristic
166#10622265C2211yescharacteristic
167#10622265C2211yescharacteristic
168#10622265C2211yescharacteristic
169#10622265C2211yescharacteristic
170#10622263C2211yescharacteristic
171#10622263C2211yescharacteristic
172#10622263C2211yescharacteristic
173#10622262C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622261C2211yescharacteristic
180#10622260C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×D44C2311yescharacteristic
191C22×C4×D11C2311yescharacteristic
192C22×C4×D11C2311yescharacteristic
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×Dic22C2311yescharacteristic
198C11×C4⋊Q8C2×C418yescomplemented
199C2×C11×C4⋊C4C2311yescharacteristic
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
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×C42×C11C2311yescharacteristic
210C2×C42×C11C2311yescharacteristic
211C2×C42×C11C2311yescharacteristic
212C2×C42×C11C2311yescharacteristic
213C2×C42×C11C2311yescharacteristic
214C2×C42×C11C2311yescharacteristic
215C2×C42×C11C2311yescharacteristic
216#67000C2×C418yes—
217#66999C2×C418yescomplemented
218#66999C2×C418yescomplemented
219Q8×Dic11—42no—
220Q8×Dic11—42no—
221#66997C2×C418yescomplemented
222C2×(C2×D11)⋊C4C2311yescharacteristic
223C2×(C2×D11)⋊C4C2311yescharacteristic
224C2×(C2×D11)⋊C4C2311yescharacteristic
225C2×(C2×D11)⋊C4C2311yescharacteristic
226C2×(C2×D11)⋊C4C2311yescharacteristic
227C2×(C2×D11)⋊C4C2311yescharacteristic
228C2×(C2×D11)⋊C4C2311yescharacteristic
229C2×(C2×D11)⋊C4C2311yescharacteristic
230C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
245C2×C4⋊Dic11C2311yescharacteristic
246C2×C4⋊Dic11C2311yescharacteristic
247C2×C4⋊Dic11C2311yescharacteristic
248C2×C4⋊Dic11C2311yescharacteristic
249C2×C4⋊Dic11C2311yescharacteristic
250C2×C4⋊Dic11C2311yescharacteristic
251C2×C4⋊Dic11C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×Dic11⋊C4C2311yescharacteristic
255C2×Dic11⋊C4C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×Dic11⋊C4C2311yescharacteristic
258C2×Dic11⋊C4C2311yescharacteristic
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
277C2×C4×Dic11C2311yescharacteristic
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
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
298#66951C2×C418yescomplemented
299#66951C2×C418yescomplemented
300#66949C2×C418yescomplemented
301#66949C2×C418yescomplemented
302#66947C2×C418yes—
303#66947C2×C418yes—
304#66946—42no—
305#66945—42no—
306#66942C2×C418yescomplemented
307#66942C2×C418yescomplemented
308#66929C2×C418yescomplemented
309#66929C2×C418yescomplemented
310#66925—42no—
311C4×Dic22—42no—
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
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364#34528—111nomaximal, Sylow
365C23×D11C2411yescharacteristic
366C23×D11C2411yescharacteristic
367C2×Q8×C11—41no—
368C2×Q8×C11—41no—
369C2×Q8×C11—41no—
370C2×Q8×C11—41no—
371C2×Q8×C11C22×C414yes—
372C2×Q8×C11C22×C414yes—
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
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×Dic11C2411yescharacteristic
389C22×Dic11C2411yescharacteristic
390C22×Dic11C2411yescharacteristic
391C22×Dic11C2411yescharacteristic
392C22×Dic11C2411yescharacteristic
393C22×Dic11C2411yescharacteristic
394C22×Dic11C2411yescharacteristic
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C2×D44—41no—
403C2×D44—41no—
404C2×D44C22×C414yes—
405C2×C4×D11—22no—
406C2×C4×D11—22no—
407C2×C4×D11—41no—
408C2×C4×D11—41no—
409C2×C4×D11—41no—
410C2×C4×D11—41no—
411C2×C4×D11—41no—
412C2×C4×D11—41no—
413C2×C4×D11—41no—
414C2×C4×D11—41no—
415C2×C4×D11—41no—
416C2×C4×D11—41no—
417C2×C4×D11—41no—
418C2×C4×D11—41no—
419C2×C4×D11—41no—
420C2×C4×D11—41no—
421C2×C4×D11C22×C414yes—
422C2×C4×D11C22×C414yes—
423C2×Dic22—41no—
424C2×Dic22—41no—
425C2×Dic22C22×C414yes—
426C11×C4⋊C4—41no—
427C11×C4⋊C4—41no—
428C11×C4⋊C4—41no—
429C11×C4⋊C4—41no—
430C11×C4⋊C4—41no—
431C11×C4⋊C4—41no—
432C11×C4⋊C4C22×C414yes—
433C11×C4⋊C4C22×C414yes—
434C11×C4⋊C4C22×C414yes—
435C11×C4⋊C4C22×C414yes—
436C42×C11—22no—
437C42×C11—41no—
438C42×C11—41no—
439C42×C11—41no—
440C42×C11—41no—
441C42×C11—41no—
442C42×C11C22×C414yes—
443(C2×D11)⋊C4—22no—
444(C2×D11)⋊C4—22no—
445(C2×D11)⋊C4—22no—
446(C2×D11)⋊C4—22no—
447(C2×D11)⋊C4—41no—
448(C2×D11)⋊C4—41no—
449(C2×D11)⋊C4—41no—
450(C2×D11)⋊C4—41no—
451(C2×D11)⋊C4—41no—
452(C2×D11)⋊C4—41no—
453(C2×D11)⋊C4—41no—
454(C2×D11)⋊C4—41no—
455(C2×D11)⋊C4C22×C414yes—
456(C2×D11)⋊C4C22×C414yes—
457(C2×D11)⋊C4C22×C414yes—
458(C2×D11)⋊C4C22×C414yes—
459(C2×D11)⋊C4C22×C414yes—
460(C2×D11)⋊C4C22×C414yes—
461(C2×D11)⋊C4C22×C414yes—
462(C2×D11)⋊C4C22×C414yes—
463(C2×D11)⋊C4C22×C414yes—
464(C2×D11)⋊C4C22×C414yes—
465C4⋊Dic11—22no—
466C4⋊Dic11—22no—
467C4⋊Dic11—22no—
468C4⋊Dic11—22no—
469C4⋊Dic11—41no—
470C4⋊Dic11—41no—
471C4⋊Dic11—41no—
472C4⋊Dic11—41no—
473C4⋊Dic11C22×C414yes—
474C4⋊Dic11C22×C414yes—
475Dic11⋊C4—22no—
476Dic11⋊C4—22no—
477Dic11⋊C4—41no—
478Dic11⋊C4—41no—
479Dic11⋊C4—41no—
480Dic11⋊C4—41no—
481Dic11⋊C4—41no—
482Dic11⋊C4—41no—
483Dic11⋊C4—41no—
484Dic11⋊C4—41no—
485Dic11⋊C4—41no—
486Dic11⋊C4—41no—
487Dic11⋊C4C22×C414yes—
488Dic11⋊C4C22×C414yes—
489Dic11⋊C4C22×C414yes—
490Dic11⋊C4C22×C414yes—
491Dic11⋊C4C22×C414yes—
492Dic11⋊C4C22×C414yes—
493Dic11⋊C4C22×C414yes—
494Dic11⋊C4C22×C414yes—
495Dic11⋊C4C22×C414yes—
496Dic11⋊C4C22×C414yes—
497C4×Dic11—22no—
498C4×Dic11—22no—
499C4×Dic11—22no—
500C4×Dic11—22no—
501C4×Dic11—22no—
502C4×Dic11—22no—
503C4×Dic11—41no—
504C4×Dic11—41no—
505C4×Dic11—41no—
506C4×Dic11—41no—
507C4×Dic11—41no—
508C4×Dic11—41no—
509C4×Dic11—41no—
510C4×Dic11—41no—
511C4×Dic11—41no—
512C4×Dic11—41no—
513C4×Dic11—41no—
514C4×Dic11—41no—
515C4×Dic11—41no—
516C4×Dic11—41no—
517C4×Dic11C22×C414yes—
518C4×Dic11C22×C414yes—
519C2×#563—111no—
520#2382—111no—
521#2382—111no—
522#2379—111no—
523#2373—111no—
524#2373—111no—
525#2373—111no—
526#2373—111no—
527#2368—111no—
528#2368—111no—
529#2365—111no—
530#2365—111no—
531#2362—111no—
532#2362—111no—
533#2359—111no—
534#2359—111no—
535#2335—111no—
536#2335—111no—
537#2334—111no—
538#2334—111no—
539#2334—111no—
540#2334—111no—
541#2331—111no—
542#2331D1111yescharacteristic, complemented
543#2329—111no—
544#2329—111no—
545#2323—111no—
546#2323—111no—
547C4×#125—111no—
548C4×#125—111no—
549C4×#124—111no—
550C23×C11C2511yescharacteristic
551C22×D11—21no—
552C22×D11—21no—
553C22×D11—21no—
554C22×D11—21no—
555C22×D11—21no—
556C22×D11—21no—
557C22×D11—21no—
558C22×D11—21no—
559C22×D11—21no—
560C22×D11—21no—
561C22×D11—21no—
562C22×D11—21no—
563C22×D11C23×C412yes—
564C22×D11C23×C412yes—
565Q8×C11—44no—
566Q8×C11—44no—
567C2×C4×C11—21no—
568C2×C4×C11—21no—
569C2×C4×C11—21no—
570C2×C4×C11—21no—
571C2×C4×C11—21no—
572C2×C4×C11—21no—
573C2×C4×C11—21no—
574C2×C4×C11—21no—
575C2×C4×C11—21no—
576C2×C4×C11—21no—
577C2×C4×C11—21no—
578C2×C4×C11—21no—
579C2×C4×C11—21no—
580C2×C4×C11—21no—
581C2×C4×C11—21no—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11C23×C412yes—
605C2×C4×C11C23×C412yes—
606C2×C4×C11C23×C412yes—
607C2×C4×C11C23×C412yes—
608C2×C4×C11C23×C412yes—
609C2×C4×C11C23×C412yes—
610C2×C4×C11C23×C412yes—
611C2×C4×C112−1+412yes—
612C2×Dic11—21no—
613C2×Dic11—21no—
614C2×Dic11—21no—
615C2×Dic11—21no—
616C2×Dic11—21no—
617C2×Dic11—21no—
618C2×Dic11—21no—
619C2×Dic11—21no—
620C2×Dic11—21no—
621C2×Dic11—21no—
622C2×Dic11—21no—
623C2×Dic11—21no—
624C2×Dic11—21no—
625C2×Dic11—21no—
626C2×Dic11—21no—
627C2×Dic11—21no—
628C2×Dic11—21no—
629C2×Dic11—21no—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
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×Dic11C23×C412yes—
647C2×Dic11C23×C412yes—
648C2×Dic11C23×C412yes—
649C2×Dic11C23×C412yes—
650C2×Dic11C23×C412yes—
651C2×Dic11C23×C412yes—
652C2×Dic11H(5,𝔽2)12yes—
653C2×Dic112−1+412yes—
654D44—44no—
655C4×D11—44no—
656C4×D11—44no—
657C4×D11—82no—
658C4×D11—82no—
659C4×D11—82no—
660C4×D11—82no—
661Dic22—44no—
662#563—1116no—
663C2×C4⋊Q8—111no—
664C2×C4⋊Q8C2×D1111yescharacteristic
665C2×#126—111no—
666C2×#126—111no—
667C2×#126—111no—
668C2×#126—111no—
669C2×#125—111no—
670C2×#125—111no—
671C2×#124—111no—
672C2×#123—111no—
673C2×#123—111no—
674C2×C22⋊Q8—111no—
675C2×C22⋊Q8—111no—
676C2×C22⋊Q8—111no—
677C2×C22⋊Q8—111no—
678C2×C4×Q8—111no—
679C2×C4×Q8—111no—
680C2×C4×Q8—111no—
681C2×C4×D4—111no—
682C2×#117—111no—
683C2×#117—111no—
684#391—111no—
685#391—111no—
686#391—111no—
687#391—111no—
688#391—111no—
689#391C2×D1111yescharacteristic
690#391C2×D1111yescharacteristic
691#391C2×D1111yescharacteristic
692#391C2×D1111yescharacteristic
693#390—111no—
694#389—111no—
695#389—111no—
696#389—111no—
697#389—111no—
698#389—111no—
699#389—111no—
700#389—111no—
701#389—111no—
702#389—111no—
703#389—111no—
704#389—111no—
705#389—111no—
706#389—111no—
707#389—111no—
708#389C2×D1111yescharacteristic
709#389C2×D1111yescharacteristic
710#388—111no—
711#388—111no—
712#388—111no—
713#388—111no—
714#388—111no—
715#388—111no—
716#388—111no—
717#388—111no—
718#388—111no—
719#388—111no—
720#388—111no—
721#388—111no—
722#388—111no—
723#388—111no—
724#388—111no—
725#388—111no—
726#388—111no—
727#388—111no—
728#388—111no—
729#388—111no—
730#387—111no—
731#387—111no—
732#387—111no—
733#387—111no—
734#387—111no—
735#387—111no—
736#387—111no—
737#387—111no—
738#387—111no—
739#387—111no—
740#387—111no—
741#387—111no—
742#387—111no—
743#387—111no—
744#387—111no—
745#387—111no—
746#387—111no—
747#387—111no—
748#387—111no—
749#387—111no—
750#387—111no—
751#387—111no—
752#387—111no—
753#387—111no—
754#387—111no—
755#387—111no—
756#387—111no—
757#387—111no—
758#387C2×D1111yescharacteristic
759#387C2×D1111yescharacteristic
760#387C2×D1111yescharacteristic
761#387C2×D1111yescharacteristic
762#386—111no—
763#386—111no—
764#385—111no—
765#385—111no—
766#385—111no—
767#385—111no—
768#385—111no—
769#385—111no—
770#385—111no—
771#385—111no—
772#385—111no—
773#385—111no—
774#382—111no—
775#382—111no—
776#382—111no—
777#382—111no—
778#382C2×D1111yescharacteristic
779#380—111no—
780#380—111no—
781C4×C4⋊C4—111no—
782C4×C4⋊C4—111no—
783C4×C4⋊C4—111no—
784C4×C4⋊C4—111no—
785C4×C4⋊C4—111no—
786C4×C4⋊C4—111no—
787C4×C4⋊C4—111no—
788C4×C4⋊C4—111no—
789C4×C4⋊C4—111no—
790C4×C4⋊C4—111no—
791C4×C4⋊C4—111no—
792C4×C4⋊C4—111no—
793C4×C4⋊C4—111no—
794C4×C4⋊C4—111no—
795C4×C4⋊C4—111no—
796C4×C4⋊C4—111no—
797C4×C4⋊C4—111no—
798C4×C4⋊C4—111no—
799C4×C4⋊C4C2×D1111yescharacteristic
800C4×C4⋊C4C2×D1111yescharacteristic
801C4×C22⋊C4—111no—
802C4×C22⋊C4—111no—
803C4×C22⋊C4—111no—
804C4×C22⋊C4—111no—
805C4×C22⋊C4—111no—
806C4×C22⋊C4—111no—
807C4×C22⋊C4—111no—
808C4×C22⋊C4—111no—
809C4×C22⋊C4—111no—
810C4×C22⋊C4—111no—
811C4×C22⋊C4—111no—
812C4×C22⋊C4—111no—
813#376—111no—
814#376C2×D1111yescharacteristic
815C2×#95—111no—
816C2×#95—111no—
817C43—111no—
818C22×C11C24×C411yescharacteristic
819C22×C11C2×H(5,𝔽2)11yescharacteristic
820C22×C11C2×2−1+411yescharacteristic
821C22×C11C2×2−1+411yescharacteristic
822C22×C11#58511yescharacteristic
823C22×C11#58511yescharacteristic
824C22×C11#58511yescharacteristic
825C2×D11—22no—
826C2×D11—22no—
827C2×D11—22no—
828C2×D11—22no—
829C2×D11—22no—
830C2×D11—22no—
831C2×D11—41no—
832C2×D11—41no—
833C2×D11—41no—
834C2×D11—41no—
835C2×D11—41no—
836C2×D11—41no—
837C2×D11—41no—
838C2×D11—41no—
839C4×C11—22no—
840C4×C11—22no—
841C4×C11—22no—
842C4×C11—22no—
843C4×C11—22no—
844C4×C11—22no—
845C4×C11—22no—
846C4×C11—22no—
847C4×C11—41no—
848C4×C11—41no—
849C4×C11—41no—
850C4×C11—41no—
851C4×C11—41no—
852C4×C11—41no—
853C4×C11—41no—
854Dic11—22no—
855Dic11—22no—
856Dic11—22no—
857Dic11—22no—
858Dic11—22no—
859Dic11—22no—
860Dic11—22no—
861Dic11—22no—
862Dic11—41no—
863Dic11—41no—
864Dic11—41no—
865Dic11—41no—
866Dic11—41no—
867Dic11—41no—
868C22×Q8—111no—
869C22×Q8C22×D1111yescharacteristic
870C22×Q8C22×D1111yescharacteristic
871C22×D4—111no—
872C23×C4—111no—
873C23×C4—111no—
874C23×C4—111no—
875C23×C4—111no—
876C23×C4—111no—
877C23×C4—111no—
878C4⋊Q8—118no—
879C4⋊Q8C4×D1118yescomplemented
880#126—118no—
881#126—118no—
882#126—118no—
883#126—118no—
884#125—118no—
885#125—118no—
886#124—118no—
887#123—118no—
888#123—118no—
889C22⋊Q8—118no—
890C22⋊Q8—118no—
891C22⋊Q8—118no—
892C22⋊Q8—118no—
893C4×Q8—442no—
894C4×Q8—442no—
895C4×Q8—442no—
896C4×D4—442no—
897#117—442no—
898#117—442no—
899C2×C4⋊C4—111no—
900C2×C4⋊C4—111no—
901C2×C4⋊C4—111no—
902C2×C4⋊C4—111no—
903C2×C4⋊C4—111no—
904C2×C4⋊C4—111no—
905C2×C4⋊C4—111no—
906C2×C4⋊C4—111no—
907C2×C4⋊C4—111no—
908C2×C4⋊C4—111no—
909C2×C4⋊C4—111no—
910C2×C4⋊C4—111no—
911C2×C4⋊C4—111no—
912C2×C4⋊C4—111no—
913C2×C4⋊C4—111no—
914C2×C4⋊C4—111no—
915C2×C4⋊C4—111no—
916C2×C4⋊C4—111no—
917C2×C4⋊C4—111no—
918C2×C4⋊C4—111no—
919C2×C4⋊C4—111no—
920C2×C4⋊C4—111no—
921C2×C4⋊C4—111no—
922C2×C4⋊C4—111no—
923C2×C4⋊C4—111no—
924C2×C4⋊C4—111no—
925C2×C4⋊C4—111no—
926C2×C4⋊C4—111no—
927C2×C4⋊C4—111no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
931C2×C4⋊C4C22×D1111yescharacteristic
932C2×C4⋊C4C22×D1111yescharacteristic
933C2×C4⋊C4C22×D1111yescharacteristic
934C2×C4⋊C4C22×D1111yescharacteristic
935C2×C4⋊C4C22×D1111yescharacteristic
936C2×C4⋊C4C22×D1111yescharacteristic
937C2×C4⋊C4C22×D1111yescharacteristic
938C2×C4⋊C4C22×D1111yescharacteristic
939C2×C4⋊C4C22×D1111yescharacteristic
940C2×C4⋊C4C22×D1111yescharacteristic
941C2×C22⋊C4—111no—
942C2×C22⋊C4—111no—
943C2×C22⋊C4—111no—
944C2×C22⋊C4—111no—
945C2×C22⋊C4—111no—
946C2×C22⋊C4—111no—
947C2×C22⋊C4—111no—
948C2×C22⋊C4—111no—
949C2×C22⋊C4—111no—
950C2×C22⋊C4—111no—
951C2×C22⋊C4—111no—
952C2×C22⋊C4—111no—
953C2×C22⋊C4—111no—
954C2×C22⋊C4—111no—
955C2×C22⋊C4—111no—
956C2×C22⋊C4—111no—
957C2×C22⋊C4—111no—
958C2×C22⋊C4—111no—
959C2×C22⋊C4—111no—
960C2×C22⋊C4—111no—
961C2×C22⋊C4—111no—
962C2×C22⋊C4—111no—
963C2×C42—111no—
964C2×C42—111no—
965C2×C42—111no—
966C2×C42—111no—
967C2×C42—111no—
968C2×C42—111no—
969C2×C42—111no—
970C2×C42—111no—
971C2×C42—111no—
972C2×C42—111no—
973C2×C42—111no—
974C2×C42—111no—
975C2×C42—111no—
976C2×C42—111no—
977C2×C42—111no—
978C2×C42—111no—
979C2×C42—111no—
980C2×C42—111no—
981C2×C42—111no—
982C2×C42—111no—
983C2×C42—111no—
984C2×C42—111no—
985C2×C42C22×D1111yescharacteristic
986C2×C42C22×D1111yescharacteristic
987C2×C42C22×D1111yescharacteristic
988C2×C42C22×D1111yescharacteristic
989C2×C42C22×D1111yescharacteristic
990C2×C42C22×D1111yescharacteristic
991C2×C42C22×D1111yescharacteristic
992#95—111no—
993#95—111no—
994#95—111no—
995#95—111no—
996#95—111no—
997#95—111no—
998#95—111no—
999#95—111no—
1000#95—111no—
1001#95—111no—
1002#95—111no—
1003#95—111no—
1004#95—111no—
1005#95—111no—
1006#95—111no—
1007#95—111no—
1008#95—111no—
1009#95—111no—
1010#95—111no—
1011#95—111no—
1012#95—111no—
1013#95—111no—
1014#95—111no—
1015#95—111no—
1016#95—111no—
1017#95—111no—
1018#95—111no—
1019#95—111no—
1020#95—111no—
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95C22×D1111yescharacteristic
1029#95C22×D1111yescharacteristic
1030#95C22×D1111yescharacteristic
1031#95C22×D1111yescharacteristic
1032#95C22×D1111yescharacteristic
1033#95C22×D1111yescharacteristic
1034#95C22×D1111yescharacteristic
1035#95C22×D1111yescharacteristic
1036#95C22×D1111yescharacteristic
1037#95C22×D1111yescharacteristic
1038#95C22×D1111yescharacteristic
1039#95C22×D1111yescharacteristic
1040#95C22×D1111yescharacteristic
1041#95C22×D1111yescharacteristic
1042#95C22×D1111yescharacteristic
1043#95C22×D1111yescharacteristic
1044C2×C11C4×H(5,𝔽2)11yescharacteristic
1045C2×C11C4×2−1+411yescharacteristic
1046C2×C11C4×2−1+411yescharacteristic
1047C2×C11#355911yescharacteristic
1048C2×C11#356111yescharacteristic
1049C2×C11#356311yescharacteristic
1050C2×C11#356811yescharacteristic
1051D11—42no—
1052D11—42no—
1053C24—111no—
1054C24—111no—
1055C2×Q8—41no—
1056C2×Q8—41no—
1057C2×Q8—41no—
1058C2×Q8—41no—
1059C2×Q8—114no—
1060C2×Q8—441no—
1061C2×Q8—441no—
1062C2×Q8C2×C4×D1114yes—
1063C2×Q8C2×C4×D1114yes—
1064C2×D4—114no—
1065C2×D4—441no—
1066C2×D4—441no—
1067C22×C4—111no—
1068C22×C4—111no—
1069C22×C4—111no—
1070C22×C4—111no—
1071C22×C4—111no—
1072C22×C4—111no—
1073C22×C4—111no—
1074C22×C4—111no—
1075C22×C4—114no—
1076C22×C4—114no—
1077C22×C4—111no—
1078C22×C4—111no—
1079C22×C4—111no—
1080C22×C4—111no—
1081C22×C4—111no—
1082C22×C4—111no—
1083C22×C4—222no—
1084C22×C4—222no—
1085C22×C4—441no—
1086C22×C4—441no—
1087C22×C4—441no—
1088C22×C4—441no—
1089C22×C4—441no—
1090C22×C4—441no—
1091C22×C4—441no—
1092C22×C4—441no—
1093C22×C4—441no—
1094C22×C4—441no—
1095C22×C4—441no—
1096C22×C4—441no—
1097C22×C4—441no—
1098C22×C4—441no—
1099C22×C4C23×D1111yescharacteristic
1100C22×C4C23×D1111yescharacteristic
1101C22×C4C23×D1111yescharacteristic
1102C22×C4C23×D1111yescharacteristic
1103C22×C4C23×D1111yescharacteristic
1104C22×C4C23×D1111yescharacteristic
1105C22×C4C23×D1111yescharacteristic
1106C22×C4C23×D1111yescharacteristic
1107C22×C4C23×D1111yescharacteristic
1108C22×C4C23×D1111yescharacteristic
1109C22×C4C23×D1111yescharacteristic
1110C22×C4C23×D1111yescharacteristic
1111C22×C4C23×D1111yescharacteristic
1112C22×C4C23×D1111yescharacteristic
1113C22×C4C23×D1111yescharacteristic
1114C4⋊C4—41no—
1115C4⋊C4—41no—
1116C4⋊C4—41no—
1117C4⋊C4—41no—
1118C4⋊C4—41no—
1119C4⋊C4—41no—
1120C4⋊C4—114no—
1121C4⋊C4—114no—
1122C4⋊C4—114no—
1123C4⋊C4—114no—
1124C4⋊C4—114no—
1125C4⋊C4—114no—
1126C4⋊C4—114no—
1127C4⋊C4—114no—
1128C4⋊C4—114no—
1129C4⋊C4—114no—
1130C4⋊C4—114no—
1131C4⋊C4—114no—
1132C4⋊C4—222no—
1133C4⋊C4—222no—
1134C4⋊C4—222no—
1135C4⋊C4—222no—
1136C4⋊C4—222no—
1137C4⋊C4—222no—
1138C4⋊C4—441no—
1139C4⋊C4—441no—
1140C4⋊C4—441no—
1141C4⋊C4—441no—
1142C4⋊C4—441no—
1143C4⋊C4—441no—
1144C4⋊C4—441no—
1145C4⋊C4—441no—
1146C4⋊C4—441no—
1147C4⋊C4—441no—
1148C4⋊C4—441no—
1149C4⋊C4—441no—
1150C4⋊C4—441no—
1151C4⋊C4—441no—
1152C4⋊C4C2×C4×D1114yes—
1153C4⋊C4C2×C4×D1114yes—
1154C4⋊C4C2×C4×D1114yes—
1155C4⋊C4C2×C4×D1114yes—
1156C22⋊C4—114no—
1157C22⋊C4—114no—
1158C22⋊C4—114no—
1159C22⋊C4—114no—
1160C22⋊C4—114no—
1161C22⋊C4—114no—
1162C22⋊C4—114no—
1163C22⋊C4—114no—
1164C22⋊C4—114no—
1165C22⋊C4—114no—
1166C22⋊C4—222no—
1167C22⋊C4—222no—
1168C22⋊C4—222no—
1169C22⋊C4—222no—
1170C22⋊C4—441no—
1171C22⋊C4—441no—
1172C22⋊C4—441no—
1173C22⋊C4—441no—
1174C22⋊C4—441no—
1175C22⋊C4—441no—
1176C22⋊C4—441no—
1177C22⋊C4—441no—
1178C42—22no—
1179C42—41no—
1180C42—41no—
1181C42—41no—
1182C42—41no—
1183C42—41no—
1184C42—114no—
1185C42—114no—
1186C42—222no—
1187C42—222no—
1188C42—222no—
1189C42—222no—
1190C42—222no—
1191C42—222no—
1192C42—441no—
1193C42—441no—
1194C42—441no—
1195C42—441no—
1196C42—441no—
1197C42—441no—
1198C42—441no—
1199C42—441no—
1200C42—441no—
1201C42—441no—
1202C42—441no—
1203C42—441no—
1204C42—441no—
1205C42—441no—
1206C42C2×C4×D1114yes—
1207C11#3452811yescharacteristic, complemented, Sylow
1208C23—112no—
1209C23—112no—
1210C23—221no—
1211C23—221no—
1212C23—221no—
1213C23—221no—
1214C23—221no—
1215C23—221no—
1216C23—221no—
1217C23—221no—
1218C23—221no—
1219C23—221no—
1220C23—221no—
1221C23—221no—
1222C23C24×D1111yescharacteristic
1223Q8—44no—
1224Q8—44no—
1225Q8—444no—
1226D4—444no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—112no—
1265C2×C4—112no—
1266C2×C4—112no—
1267C2×C4—112no—
1268C2×C4—112no—
1269C2×C4—112no—
1270C2×C4—112no—
1271C2×C4—112no—
1272C2×C4—221no—
1273C2×C4—221no—
1274C2×C4—221no—
1275C2×C4—221no—
1276C2×C4—221no—
1277C2×C4—221no—
1278C2×C4—221no—
1279C2×C4—221no—
1280C2×C4—221no—
1281C2×C4—221no—
1282C2×C4—221no—
1283C2×C4—221no—
1284C2×C4—221no—
1285C2×C4—221no—
1286C2×C4—221no—
1287C2×C4—221no—
1288C2×C4—221no—
1289C2×C4—221no—
1290C2×C4—221no—
1291C2×C4—221no—
1292C2×C4—221no—
1293C2×C4—221no—
1294C2×C4—221no—
1295C2×C4—221no—
1296C2×C4—221no—
1297C2×C4—221no—
1298C2×C4—221no—
1299C2×C4—221no—
1300C2×C4—221no—
1301C2×C4—221no—
1302C2×C4—221no—
1303C2×C4—221no—
1304C2×C4—221no—
1305C2×C4—221no—
1306C2×C4—444no—
1307C2×C4—444no—
1308C2×C4—882no—
1309C2×C4—882no—
1310C2×C4—882no—
1311C2×C4—882no—
1312C2×C4C22×C4×D1112yes—
1313C2×C4C22×C4×D1112yes—
1314C2×C4C22×C4×D1112yes—
1315C2×C4C22×C4×D1112yes—
1316C2×C4C22×C4×D1112yes—
1317C2×C4C22×C4×D1112yes—
1318C2×C4C22×C4×D1112yes—
1319C2×C4#6704012yes—
1320C22—222no—
1321C22—222no—
1322C22—222no—
1323C22—222no—
1324C22—222no—
1325C22—222no—
1326C22—441no—
1327C22—441no—
1328C22—441no—
1329C22—441no—
1330C22—441no—
1331C22—441no—
1332C22—441no—
1333C22—441no—
1334C22C23×C4×D1111yescharacteristic
1335C22C2×#6704011yescharacteristic
1336C22#1062345311yescharacteristic
1337C22D11×H(5,𝔽2)11yescharacteristic
1338C22#1062345511yescharacteristic
1339C22D11×2−1+411yescharacteristic
1340C22#1062345711yescharacteristic
1341C4—22no—
1342C4—22no—
1343C4—22no—
1344C4—22no—
1345C4—22no—
1346C4—22no—
1347C4—22no—
1348C4—22no—
1349C4—41no—
1350C4—41no—
1351C4—41no—
1352C4—41no—
1353C4—41no—
1354C4—41no—
1355C4—41no—
1356C4—222no—
1357C4—222no—
1358C4—222no—
1359C4—222no—
1360C4—222no—
1361C4—222no—
1362C4—222no—
1363C4—222no—
1364C4—441no—
1365C4—441no—
1366C4—441no—
1367C4—441no—
1368C4—441no—
1369C4—441no—
1370C2—442no—
1371C2—442no—
1372C2#1308182011yescharacteristic
1373C2#1308182511yescharacteristic
1374C2C4×#6704011yescharacteristic
1375C2#1308314911yescharacteristic
1376C2#1308318011yescharacteristic
1377C2#1308321511yescharacteristic
1378C2#1308330811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2331C2
socle, cosocleC23×C11C25
prime radicalC22×D44C23
hypercenter#2331D11
hypocenterC11#34528
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2331

Complements

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

NH ≅ G/Ntype
2. #13071800C2semidirect
3. #13071798C2semidirect
5. #13071736C2semidirect
6. #13071736C2semidirect
7. #13071735C2semidirect
8. #13071730C2semidirect
9. #13071695C2semidirect
10. #13071693C2semidirect
11. #13071676C2semidirect
12. #13071673C2semidirect
13. #13071648C2semidirect
14. #13071644C2semidirect
19. #13071397C2semidirect
20. #13071387C2semidirect
21. #13071387C2semidirect
22. #13071384C2semidirect
23. #13071359C2semidirect
24. #13071350C2semidirect
25. #13071348C2semidirect
26. #13071301C2semidirect
27. #13071297C2semidirect
28. #13071173C2semidirect
29. C4×#66942C2semidirect
31. C11×#2331C2semidirect
39. #10623266C4semidirect
198. C11×C4⋊Q8C2×C4semidirect
217. #66999C2×C4semidirect
218. #66999C2×C4semidirect
221. #66997C2×C4semidirect
298. #66951C2×C4semidirect
299. #66951C2×C4semidirect
300. #66949C2×C4semidirect
301. #66949C2×C4semidirect
306. #66942C2×C4semidirect
307. #66942C2×C4semidirect
308. #66929C2×C4semidirect
309. #66929C2×C4semidirect
542. #2331D11semidirect
879. C4⋊Q8C4×D11semidirect
1207. C11#34528semidirect

Maximal subgroups

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

subgroupindex
C2×#106232662
#130718002
#130717982
#130717882
#130717362
#130717352
#130717302
#130716952
#130716932
#130716762
#130716732
#130716482
#130716442
#130716032
#130716012
#130714052
#130714002
#130713972
#130713872
#130713842
#130713592
#130713502
#130713482
#130713012
#130712972
#130711732
C4×#669422
#130711592
C11×#23312
#3452811