Finite Group Databasebeta

← #15622241

Subgroups — #15622241

Order 2816.

2218 conjugacy classes of subgroups.

The subgroup lattice has 1808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082003C211yesmaximal, characteristic, complemented
2D11×#518C211yesmaximal, characteristic, complemented
3#13078867C211yesmaximal, characteristic, complemented
4#13078865C211yesmaximal, characteristic, complemented
5#13078864C211yesmaximal, characteristic, complemented
6#13078862C211yesmaximal, characteristic, complemented
7#13078858C211yesmaximal, characteristic, complemented
8#13078856C211yesmaximal, characteristic, complemented
9#13078855C211yesmaximal, characteristic, complemented
10#13078853C211yesmaximal, characteristic, complemented
11#13078807C211yesmaximal, characteristic, complemented
12#13078805C211yesmaximal, characteristic, complemented
13#13078802C211yesmaximal, characteristic, complemented
14#13078800C211yesmaximal, characteristic, complemented
15#13078799C211yesmaximal, characteristic, complemented
16#13078797C211yesmaximal, characteristic, complemented
17#13078794C211yesmaximal, characteristic, complemented
18#13078548C211yesmaximal, characteristic, complemented
19#13078544C211yesmaximal, characteristic, complemented
20#13078414C211yesmaximal, characteristic, complemented
21#13078408C211yesmaximal, characteristic, complemented
22#13078078C211yesmaximal, characteristic, complemented
23#13078078C211yesmaximal, characteristic, complemented
24#13077844C211yesmaximal, characteristic, complemented
25#13077840C211yesmaximal, characteristic, complemented
26#13077427C211yesmaximal, characteristic, complemented
27C4×#66967C211yesmaximal, characteristic, complemented
28#13077421C211yesmaximal, characteristic, complemented
29C4×#66964C211yesmaximal, characteristic, complemented
30#13077250C211yesmaximal, characteristic, complemented
31C11×#3118C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C11×#542C2211yescharacteristic, complemented
34C11×#518C2211yescharacteristic
35#10623329C2211yescharacteristic
36C2×#66967C2211yescharacteristic
37C2×#66967C2211yescharacteristic
38C2×#66964C2211yescharacteristic
39C2×#66964C2211yescharacteristic
40#10623264C2211yescharacteristic, complemented
41#10623259C2211yescharacteristic, complemented
42#10623238—21no—
43#10623237—21no—
44#10623213C2211yescharacteristic, complemented
45#10623211—21no—
46#10623209—21no—
47#10623199C2211yescharacteristic, complemented
48#10623188—21no—
49#10623180—21no—
50#10623169—21no—
51#10623158C2211yescharacteristic
52#10623156C2211yescharacteristic, complemented
53#10623155—21no—
54#10623150C2211yescharacteristic, complemented
55#10623137C2211yescharacteristic
56#10623114C2211yescharacteristic, complemented
57C4×#4343C2211yescharacteristic, complemented
58#10623093C2211yescharacteristic, complemented
59#10623076—21no—
60#10623076—21no—
61#10623076C2211yescharacteristic
62#10623076C2211yescharacteristic
63#10623076C2211yescharacteristic
64#10623076C2211yescharacteristic
65C4×D4×D11—21no—
66C4×D4×D11—21no—
67C4×D4×D11C2211yescharacteristic
68C4×D4×D11C2211yescharacteristic
69C4×D4×D11C2211yescharacteristic
70C4×D4×D11C2211yescharacteristic
71C4×#4341C2211yescharacteristic, complemented
72#10623065C2211yescharacteristic, complemented
73#10623052C2211yescharacteristic
74#10623052C2211yescharacteristic
75D11×#117C2211yescharacteristic
76D11×#117C2211yescharacteristic
77#10623017—21no—
78#10623017—21no—
79C2×C22⋊C4×D11—21no—
80C2×C22⋊C4×D11—21no—
81C11×#485C2211yescharacteristic, complemented
82C11×#482C2211yescharacteristic, complemented
83C11×#476C2211yescharacteristic, complemented
84C11×#474C2211yescharacteristic, complemented
85C11×#463C2211yescharacteristic, complemented
86C11×#463C2211yescharacteristic, complemented
87C11×#450C2211yescharacteristic
88C11×#447C2211yescharacteristic
89C11×#442C2211yescharacteristic, complemented
90C11×#440C2211yescharacteristic, complemented
91C4×C11×SD16C2211yescharacteristic, complemented
92C4×C11×D8C2211yescharacteristic, complemented
93C11×#433C2211yescharacteristic, complemented
94#10622831C2211yescharacteristic
95#10622830C2211yescharacteristic
96#10622782C2211yescharacteristic
97#10622782C2211yescharacteristic
98#10622777C2211yescharacteristic, complemented
99#10622775C2211yescharacteristic, complemented
100#10622775C2211yescharacteristic, complemented
101SD16×Dic11C2211yescharacteristic, complemented
102#10622769C2211yescharacteristic
103#10622769C2211yescharacteristic
104#10622765C2211yescharacteristic, complemented
105#10622763C2211yescharacteristic, complemented
106#10622763C2211yescharacteristic, complemented
107D8×Dic11C2211yescharacteristic, complemented
108#10622700C2211yescharacteristic, complemented
109#10622697C2211yescharacteristic, complemented
110#10622670C2211yescharacteristic, complemented
111#10622670C2211yescharacteristic, complemented
112#10622659C2211yescharacteristic
113#10622658C2211yescharacteristic, complemented
114#10622649C2211yescharacteristic
115#10622648C2211yescharacteristic, complemented
116#10622639C2211yescharacteristic, complemented
117C4×#4325C2211yescharacteristic, complemented
118#10622631C2211yescharacteristic, complemented
119C4×#4324C2211yescharacteristic, complemented
120#10622629C2211yescharacteristic, complemented
121#10622629C2211yescharacteristic, complemented
122#10622627C2211yescharacteristic, complemented
123#10622627C2211yescharacteristic, complemented
124C4×#4323C2211yescharacteristic, complemented
125C4×#4323C2211yescharacteristic, complemented
126#10622621C2211yescharacteristic, complemented
127#10622620C2211yescharacteristic, complemented
128#10622616C2211yescharacteristic, complemented
129#10622613C2211yescharacteristic, complemented
130#10622609C2211yescharacteristic, complemented
131#10622504C2211yescharacteristic, complemented
132#10622504C2211yescharacteristic, complemented
133#10622502C2211yescharacteristic, complemented
134#10622501C2211yescharacteristic, complemented
135#10622498C2211yescharacteristic, complemented
136#10622494C2211yescharacteristic, complemented
137#10622494C2211yescharacteristic, complemented
138#10622485C2211yescharacteristic, complemented
139#10622484C2211yescharacteristic, complemented
140#10622484C2211yescharacteristic, complemented
141#10622482C2211yescharacteristic, complemented
142#10622480C2211yescharacteristic, complemented
143#10622479C2211yescharacteristic, complemented
144#10622474C2211yescharacteristic, complemented
145#10622474C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622459C2211yescharacteristic, complemented
148#10622457C2211yescharacteristic, complemented
149#10622457C2211yescharacteristic, complemented
150#10622455C2211yescharacteristic, complemented
151#10622453C2211yescharacteristic, complemented
152#10622453C2211yescharacteristic, complemented
153#10622450C2211yescharacteristic, complemented
154#10622450C2211yescharacteristic, complemented
155#10622431C2211yescharacteristic, complemented
156#10622431C2211yescharacteristic, complemented
157#10622430C2211yescharacteristic, complemented
158#10622428C2211yescharacteristic, complemented
159#10622427C2211yescharacteristic, complemented
160#10622416C2211yescharacteristic, complemented
161#10622416C2211yescharacteristic, complemented
162#10622401C2211yescharacteristic, complemented
163#10622399C2211yescharacteristic, complemented
164#10622399C2211yescharacteristic, complemented
165#10622398C2211yescharacteristic, complemented
166#10622398C2211yescharacteristic, complemented
167#10622397C2211yescharacteristic, complemented
168#10622392C2211yescharacteristic, complemented
169#10622389C2211yescharacteristic
170#10622389C2211yescharacteristic
171#10622386C2211yescharacteristic
172#10622386C2211yescharacteristic
173#10622384C2211yescharacteristic, complemented
174#10622384C2211yescharacteristic, complemented
175#10622383C2211yescharacteristic
176#10622383C2211yescharacteristic
177#10622383C2211yescharacteristic
178#10622383C2211yescharacteristic
179#10622379C2211yescharacteristic, complemented
180#10622379C2211yescharacteristic, complemented
181#10622376C2211yescharacteristic, complemented
182#10622376C2211yescharacteristic, complemented
183#10622371C2211yescharacteristic, complemented
184#10622370C2211yescharacteristic, complemented
185#10622369C2211yescharacteristic, complemented
186#10622369C2211yescharacteristic, complemented
187#10622350C2211yescharacteristic, complemented
188#10622345C2211yescharacteristic
189#10622344C2211yescharacteristic
190#10622339C2211yescharacteristic
191#10622339C2211yescharacteristic
192#10622336C2211yescharacteristic, complemented
193#10622333C2211yescharacteristic, complemented
194#10622333C2211yescharacteristic, complemented
195#10622324C2211yescharacteristic, complemented
196#10622323C2211yescharacteristic, complemented
197#10622322C2211yescharacteristic, complemented
198#10622320C2211yescharacteristic, complemented
199C4×D88C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic, complemented
202C4×#4313C2211yescharacteristic, complemented
203C24×D11—21no—
204C22×D4×C11C2311yescharacteristic
205C22×C22⋊D11—21no—
206C2×#4343C2311yescharacteristic
207C2×#4341C2311yescharacteristic
208C2×D4×D11—24no—
209C2×D4×D11—24no—
210C2×D4×D11—21no—
211C2×D4×D11—21no—
212C2×D4×D11C2311yescharacteristic
213C2×D4×D11C2311yescharacteristic
214C2×D4×D11C2311yescharacteristic
215C2×D4×D11C2311yescharacteristic
216C22×D44C2311yescharacteristic
217C22×C4×D11—21no—
218C22×C4×D11—21no—
219C22×C4×D11—21no—
220C22×C4×D11—21no—
221C22×C4×D11C2311yescharacteristic
222C2×C11×SD16C2311yescharacteristic
223C2×C11×SD16C2311yescharacteristic
224C2×C11×D8C2311yescharacteristic
225C2×C11×D8C2311yescharacteristic
226C11×C4⋊Q8C2311yescharacteristic, complemented
227C11×#126—21no—
228C11×#124—21no—
229C11×#124C2311yescharacteristic, complemented
230C11×#123—21no—
231C11×C22⋊Q8—21no—
232C11×C22⋊Q8C2311yescharacteristic
233C11×#121C2311yescharacteristic
234C4×Q8×C11C2311yescharacteristic, complemented
235C4×D4×C11—21no—
236C4×D4×C11—21no—
237C4×D4×C11C2311yescharacteristic
238C4×D4×C11C2311yescharacteristic
239C4×D4×C11C2311yescharacteristic
240C4×D4×C11C2311yescharacteristic
241C4×D4×C11C2311yescharacteristic, complemented
242C11×#117C2311yescharacteristic
243C11×#117C2311yescharacteristic
244C2×C11×C22⋊C4—21no—
245C2×C11×C22⋊C4—21no—
246C2×C22⋊Dic11—21no—
247C2×C22⋊Dic11—21no—
248#67000—21no—
249#66999—21no—
250#66999—21no—
251#66999C2311yescharacteristic
252Q8×Dic11—21no—
253Q8×Dic11C2311yescharacteristic, complemented
254#66997C2311yescharacteristic, complemented
255C2×#4325C2311yescharacteristic
256C2×#4325C2311yescharacteristic
257#66993C2311yescharacteristic, complemented
258#66992—21no—
259#66991—21no—
260#66991C2311yescharacteristic
261#66990—21no—
262D4×Dic11—21no—
263D4×Dic11—21no—
264D4×Dic11—21no—
265D4×Dic11C2311yescharacteristic
266D4×Dic11C2311yescharacteristic
267D4×Dic11C2311yescharacteristic
268D4×Dic11C2311yescharacteristic
269D4×Dic11C2311yescharacteristic, complemented
270C2×#4324C2311yescharacteristic
271C2×#4324C2311yescharacteristic
272C2×#4323C2311yescharacteristic
273C2×#4323C2311yescharacteristic
274C2×#4323C2311yescharacteristic
275C2×#4323C2311yescharacteristic
276#66983—21no—
277#66983C2311yescharacteristic
278#66982—21no—
279C4×C22⋊D11—21no—
280C4×C22⋊D11—21no—
281C4×C22⋊D11—21no—
282C4×C22⋊D11—21no—
283C4×C22⋊D11—21no—
284C4×C22⋊D11—21no—
285C4×C22⋊D11—21no—
286C4×C22⋊D11—21no—
287C4×C22⋊D11—21no—
288C2×(C2×D11)⋊C4—21no—
289C2×(C2×D11)⋊C4—21no—
290C2×(C2×D11)⋊C4—21no—
291C2×(C2×D11)⋊C4—21no—
292#66979C2311yescharacteristic
293#66979C2311yescharacteristic
294#66977C2311yescharacteristic
295C2×C4×Dic11—21no—
296#66967—24no—
297#66967—24no—
298#66964—24no—
299#66964—24no—
300C2×D88C2311yescharacteristic
301C2×D88C2311yescharacteristic
302C2×#4314C2311yescharacteristic
303C2×#4314C2311yescharacteristic
304C2×#4313C2311yescharacteristic
305C2×#4313C2311yescharacteristic
306C2×#4313C2311yescharacteristic
307C2×#4313C2311yescharacteristic
308#66951—21no—
309#66951—21no—
310#66951—21no—
311#66950—21no—
312#66950C2311yescharacteristic
313#66949—21no—
314#66948C2311yescharacteristic
315#66947—21no—
316#66947—21no—
317#66946—21no—
318#66946—21no—
319#66946—21no—
320#66946—21no—
321#66946C2311yescharacteristic
322#66946C2311yescharacteristic
323#66946C2311yescharacteristic
324#66946C2311yescharacteristic
325#66946C2311yescharacteristic, complemented
326#66945—21no—
327#66945D411yescharacteristic
328#66945D411yescharacteristic
329#66945C2311yescharacteristic
330#66945C2311yescharacteristic
331#66945C2311yescharacteristic
332#66945C2311yescharacteristic
333C4⋊C4×D11D411yescharacteristic
334C4⋊C4×D11D411yescharacteristic
335C4⋊C4×D11C2311yescharacteristic
336C4⋊C4×D11C2311yescharacteristic
337#66943—21no—
338#66943C2311yescharacteristic, complemented
339#66943C2311yescharacteristic, complemented
340#66942—21no—
341#66942—21no—
342#66940—21no—
343#66940C2311yescharacteristic, complemented
344#66939—21no—
345#66939—21no—
346#66938—21no—
347#66938—21no—
348#66937—21no—
349#66937—21no—
350#66937—21no—
351#66936—21no—
352#66936—21no—
353#66936—21no—
354#66936—21no—
355#66935—21no—
356(C22⋊D11)⋊C4—21no—
357(C22⋊D11)⋊C4—21no—
358(C22⋊D11)⋊C4—21no—
359(C22⋊D11)⋊C4—21no—
360(C22⋊D11)⋊C4—21no—
361(C22⋊D11)⋊C4—21no—
362(C22⋊D11)⋊C4—21no—
363(C22⋊D11)⋊C4—21no—
364(C22⋊D11)⋊C4—21no—
365(C22⋊D11)⋊C4—21no—
366(C22⋊D11)⋊C4—21no—
367(C22⋊D11)⋊C4—21no—
368(C22⋊D11)⋊C4—21no—
369C22⋊C4×D11—21no—
370C22⋊C4×D11—21no—
371C22⋊C4×D11—21no—
372C22⋊C4×D11—21no—
373C22⋊C4×D11—21no—
374C22⋊C4×D11—21no—
375C22⋊C4×D11—21no—
376C22⋊C4×D11—21no—
377C22⋊C4×D11—21no—
378C22⋊C4×D11—21no—
379C22⋊C4×D11—21no—
380C22⋊C4×D11—21no—
381C22⋊C4×D11—21no—
382C22⋊C4×D11D411yescharacteristic
383C22⋊C4×D11D411yescharacteristic
384#66932—21no—
385#66932—21no—
386#66932—21no—
387#66931—21no—
388#66930—21no—
389#66930—21no—
390#66930D411yescharacteristic
391#66930D411yescharacteristic
392#66929—21no—
393#66928C2311yescharacteristic, complemented
394C4×D44—21no—
395C4×D44—21no—
396C4×D44—21no—
397C4×D44C2311yescharacteristic
398C4×D44C2311yescharacteristic
399C4×D44C2311yescharacteristic
400C4×D44C2311yescharacteristic
401C4×D44C2311yescharacteristic, complemented
402#66925—21no—
403#66925C2311yescharacteristic
404#66925C2311yescharacteristic
405C42×D11—21no—
406C42×D11—21no—
407C42×D11C2311yescharacteristic
408C42×D11C2311yescharacteristic
409#66923—21no—
410#66922C2311yescharacteristic, complemented
411C4×Dic22C2311yescharacteristic, complemented
412C11×#107C2311yescharacteristic, complemented
413C11×#107C2311yescharacteristic, complemented
414C11×#106C2311yescharacteristic, complemented
415C11×#106C2311yescharacteristic, complemented
416C11×C4⋊C8C2311yescharacteristic, complemented
417C11×C4⋊C8C2311yescharacteristic, complemented
418C11×#103C2311yescharacteristic, complemented
419C11×#103C2311yescharacteristic, complemented
420C11×#102C2311yescharacteristic
421C11×#102C2311yescharacteristic
422C11×#102C2311yescharacteristic
423C11×#102C2311yescharacteristic
424C11×#102C2311yescharacteristic, complemented
425C11×#102C2311yescharacteristic, complemented
426C11×C22⋊C8C2311yescharacteristic
427C11×C22⋊C8C2311yescharacteristic
428C11×#97C2311yescharacteristic, complemented
429C4×C8×C11C2311yescharacteristic, complemented
430#66899C2311yescharacteristic, complemented
431#66899C2311yescharacteristic, complemented
432#66896C2311yescharacteristic
433#66896C2311yescharacteristic
434#66896C2311yescharacteristic
435#66896C2311yescharacteristic
436#66896C2311yescharacteristic, complemented
437#66896C2311yescharacteristic, complemented
438C22⋊(C11⋊C8)C2311yescharacteristic
439C22⋊(C11⋊C8)C2311yescharacteristic
440#66885C2311yescharacteristic
441#66885C2311yescharacteristic
442#66885C2311yescharacteristic
443#66885C2311yescharacteristic
444#66885C2311yescharacteristic, complemented
445#66885C2311yescharacteristic, complemented
446(C2×D11)⋊C8C2311yescharacteristic
447(C2×D11)⋊C8C2311yescharacteristic
448(C2×D11)⋊C8C2311yescharacteristic
449(C2×D11)⋊C8C2311yescharacteristic
450#66882C2311yescharacteristic, complemented
451#66882C2311yescharacteristic, complemented
452#66881C2311yescharacteristic, complemented
453#66881C2311yescharacteristic, complemented
454#66880C2311yescharacteristic, complemented
455#66880C2311yescharacteristic, complemented
456#66879C2311yescharacteristic, complemented
457#66879C2311yescharacteristic, complemented
458Dic11⋊C8C2311yescharacteristic, complemented
459Dic11⋊C8C2311yescharacteristic, complemented
460Dic11⋊C8C2311yescharacteristic, complemented
461Dic11⋊C8C2311yescharacteristic, complemented
462C8×Dic11C2311yescharacteristic, complemented
463C8×Dic11C2311yescharacteristic, complemented
464#66874C2311yescharacteristic, complemented
465#66874C2311yescharacteristic, complemented
466#66873C2311yescharacteristic
467#66873C2311yescharacteristic
468#66873C2311yescharacteristic
469#66873C2311yescharacteristic
470#66873C2311yescharacteristic, complemented
471#66873C2311yescharacteristic, complemented
472#66872C2311yescharacteristic, complemented
473#66872C2311yescharacteristic, complemented
474#66872C2311yescharacteristic, complemented
475#66872C2311yescharacteristic, complemented
476#66871C2311yescharacteristic, complemented
477#66871C2311yescharacteristic, complemented
478#66871C2311yescharacteristic, complemented
479#66871C2311yescharacteristic, complemented
480C4⋊(C11⋊C8)C2311yescharacteristic, complemented
481C4⋊(C11⋊C8)C2311yescharacteristic, complemented
482#66867C2311yescharacteristic, complemented
483C4×C11⋊C8C2311yescharacteristic, complemented
484#60564—111nomaximal, Sylow
485C24×C11—21no—
486C23×D11—28no—
487C23×D11—21no—
488C23×D11—21no—
489C23×D11—21no—
490C23×D11—21no—
491C23×D11—21no—
492C23×D11—82no—
493C23×D11—82no—
494C23×D11C2×D411yescharacteristic
495C2×Q8×C11—21no—
496C2×Q8×C11C2411yescharacteristic
497C2×D4×C11—22no—
498C2×D4×C11—22no—
499C2×D4×C11—21no—
500C2×D4×C11—21no—
501C2×D4×C11C2411yescharacteristic
502C2×D4×C11C2411yescharacteristic
503C2×D4×C11C2411yescharacteristic
504C22×C4×C11—21no—
505C22×C4×C11—21no—
506C22×C4×C11—21no—
507C22×C4×C11—21no—
508C22×C4×C11—21no—
509C22×C4×C11C2411yescharacteristic
510C2×C22⋊D11—28no—
511C2×C22⋊D11—21no—
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C22×Dic11—21no—
521C22×Dic11—21no—
522C22×Dic11—21no—
523C22×Dic11—21no—
524C22×Dic11—21no—
525C22×Dic11—21no—
526C22×Dic11C2×D411yescharacteristic
527#4343—22no—
528#4343—22no—
529#4341—22no—
530#4341—22no—
531D4×D11—28no—
532D4×D11—28no—
533D4×D11—22no—
534D4×D11—22no—
535D4×D11—22no—
536D4×D11—22no—
537D4×D11—22no—
538D4×D11—22no—
539D4×D11#4114yes—
540D4×D11#4114yes—
541C2×D44—22no—
542C2×D44—22no—
543C2×D44—21no—
544C2×D44—21no—
545C2×D44—21no—
546C2×D44C2411yescharacteristic
547C2×D44C2411yescharacteristic
548C2×D44C2411yescharacteristic
549C2×C4×D11—22no—
550C2×C4×D11—22no—
551C2×C4×D11—21no—
552C2×C4×D11—21no—
553C2×C4×D11—21no—
554C2×C4×D11—21no—
555C2×C4×D11—21no—
556C2×C4×D11—21no—
557C2×C4×D11—21no—
558C2×C4×D11—21no—
559C2×C4×D11—21no—
560C2×C4×D11—21no—
561C2×C4×D11—21no—
562C2×C4×D11—21no—
563C2×C4×D11—21no—
564C2×C4×D11—82no—
565C2×C4×D11—82no—
566C2×C4×D11—82no—
567C2×C4×D11—82no—
568C2×C4×D11C2×D411yescharacteristic
569C2×C4×D11C2×D411yescharacteristic
570C2×C4×D11C2×D411yescharacteristic
571C2×C4×D11C2×D411yescharacteristic
572C2×C4×D11C2×D411yescharacteristic
573C2×C4×D11C2×D411yescharacteristic
574C2×C4×D11C2411yescharacteristic
575C2×C4×D11C2411yescharacteristic
576C2×Dic22—21no—
577C2×Dic22C2411yescharacteristic
578C11×SD16—22no—
579C11×SD16—22no—
580C11×D8—22no—
581C11×D8—22no—
582C2×C8×C11C2411yescharacteristic
583C2×C8×C11C2411yescharacteristic
584C2×C8×C11C2411yescharacteristic
585C2×C8×C11C2411yescharacteristic
586C11×C4⋊C4—21no—
587C11×C4⋊C4—21no—
588C11×C4⋊C4—21no—
589C11×C4⋊C4C2×D411yescharacteristic
590C11×C4⋊C4C2×D411yescharacteristic
591C11×C4⋊C4C2411yescharacteristic
592C11×C4⋊C4C2411yescharacteristic
593C11×C4⋊C4C2411yescharacteristic
594C11×C4⋊C4C2411yescharacteristic
595C11×C22⋊C4—21no—
596C11×C22⋊C4—21no—
597C11×C22⋊C4—21no—
598C11×C22⋊C4—21no—
599C11×C22⋊C4—21no—
600C11×C22⋊C4—21no—
601C11×C22⋊C4—21no—
602C11×C22⋊C4—21no—
603C11×C22⋊C4—21no—
604C11×C22⋊C4—21no—
605C11×C22⋊C4C2×D411yescharacteristic
606C11×C22⋊C4C2×D411yescharacteristic
607C42×C11—21no—
608C42×C11—21no—
609C42×C11C2411yescharacteristic
610C42×C11C2411yescharacteristic
611C22⋊Dic11—21no—
612C22⋊Dic11—21no—
613C22⋊Dic11—21no—
614C22⋊Dic11—21no—
615C22⋊Dic11—21no—
616C22⋊Dic11—21no—
617C22⋊Dic11—21no—
618C22⋊Dic11—21no—
619C22⋊Dic11C2×D411yescharacteristic
620C22⋊Dic11C2×D411yescharacteristic
621#4325—22no—
622#4325—22no—
623#4324—22no—
624#4324—22no—
625#4323—22no—
626#4323—22no—
627#4323—22no—
628#4323—22no—
629(C2×D11)⋊C4—21no—
630(C2×D11)⋊C4—21no—
631(C2×D11)⋊C4—21no—
632(C2×D11)⋊C4—21no—
633(C2×D11)⋊C4—21no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4—21no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4—21no—
638(C2×D11)⋊C4—21no—
639(C2×D11)⋊C4—21no—
640(C2×D11)⋊C4—21no—
641(C2×D11)⋊C4—21no—
642(C2×D11)⋊C4—21no—
643(C2×D11)⋊C4—21no—
644(C2×D11)⋊C4—21no—
645(C2×D11)⋊C4—21no—
646(C2×D11)⋊C4—21no—
647(C2×D11)⋊C4—21no—
648(C2×D11)⋊C4—21no—
649(C2×D11)⋊C4C2×D411yescharacteristic
650(C2×D11)⋊C4C2×D411yescharacteristic
651(C2×D11)⋊C4C2×D411yescharacteristic
652(C2×D11)⋊C4C2×D411yescharacteristic
653C4⋊Dic11—21no—
654C4⋊Dic11—21no—
655C4⋊Dic11—21no—
656C4⋊Dic11—21no—
657C4⋊Dic11—21no—
658C4⋊Dic11C2×D411yescharacteristic
659C4⋊Dic11C2×D411yescharacteristic
660C4⋊Dic11C2411yescharacteristic
661C4⋊Dic11C2411yescharacteristic
662C4⋊Dic11C2411yescharacteristic
663C4⋊Dic11C2411yescharacteristic
664Dic11⋊C4—21no—
665Dic11⋊C4—21no—
666Dic11⋊C4—21no—
667Dic11⋊C4—21no—
668Dic11⋊C4—21no—
669Dic11⋊C4—21no—
670Dic11⋊C4—21no—
671Dic11⋊C4—21no—
672Dic11⋊C4—21no—
673Dic11⋊C4—21no—
674Dic11⋊C4C2×D411yescharacteristic
675Dic11⋊C4C2×D411yescharacteristic
676Dic11⋊C4C2×D411yescharacteristic
677Dic11⋊C4C2×D411yescharacteristic
678C4×Dic11—21no—
679C4×Dic11—21no—
680C4×Dic11—21no—
681C4×Dic11—21no—
682C4×Dic11—21no—
683C4×Dic11—21no—
684C4×Dic11—21no—
685C4×Dic11—21no—
686C4×Dic11C2×D411yescharacteristic
687C4×Dic11C2×D411yescharacteristic
688C4×Dic11C2×D411yescharacteristic
689C4×Dic11C2×D411yescharacteristic
690C4×Dic11C2411yescharacteristic
691C4×Dic11C2411yescharacteristic
692C2×C11⋊C8C2411yescharacteristic
693C2×C11⋊C8C2411yescharacteristic
694C2×C11⋊C8C2411yescharacteristic
695C2×C11⋊C8C2411yescharacteristic
696D88—22no—
697D88—22no—
698#4314—22no—
699#4314—22no—
700#4313—22no—
701#4313—22no—
702#4313—22no—
703#4313—22no—
704#3455—111no—
705C2×#518—111no—
706#3123—111no—
707#3123—111no—
708#3123—111no—
709#3123—111no—
710#3122—111no—
711#3122—111no—
712#3122—111no—
713#3122—111no—
714#3118—111no—
715#3118—111no—
716#3118—111no—
717#3118—111no—
718#3118—111no—
719#3118—111no—
720#3118—111no—
721#3118D1111yescharacteristic, complemented
722#3093—111no—
723#3093—111no—
724#3077—111no—
725#3077—111no—
726#3036—111no—
727#3036—111no—
728#3003—111no—
729#3003—111no—
730C4×AGL(1,ℤ/8)—111no—
731C4×AGL(1,ℤ/8)—111no—
732C4×AGL(1,ℤ/8)—111no—
733C4×AGL(1,ℤ/8)—111no—
734#2921—111no—
735C23×C11—24no—
736C23×C11—21no—
737C23×C11—21no—
738C23×C11—21no—
739C23×C11—81no—
740C23×C11—81no—
741C23×C11C22×D411yescharacteristic
742C22×D11—21no—
743C22×D11—21no—
744C22×D11—24no—
745C22×D11—24no—
746C22×D11—24no—
747C22×D11—22no—
748C22×D11—24no—
749C22×D11—24no—
750C22×D11—21no—
751C22×D11—41no—
752C22×D11—41no—
753C22×D11—42no—
754C22×D11—42no—
755C22×D11—42no—
756C22×D11—42no—
757C22×D11—81no—
758C22×D11—81no—
759C22×D11—81no—
760C22×D11—81no—
761C22×D11—816no—
762C22×D11—81no—
763C22×D11—81no—
764C22×D11C22×D411yescharacteristic
765C22×D11C22×D411yescharacteristic
766Q8×C11—21no—
767Q8×C11—21no—
768Q8×C11—81no—
769D4×C11—24no—
770D4×C11—21no—
771D4×C11—21no—
772D4×C11—21no—
773D4×C11—21no—
774D4×C11—81no—
775D4×C11C2×#4112yes—
776D4×C11C2×#4112yes—
777C2×C4×C11—21no—
778C2×C4×C11—21no—
779C2×C4×C11—21no—
780C2×C4×C11—21no—
781C2×C4×C11—21no—
782C2×C4×C11—21no—
783C2×C4×C11—21no—
784C2×C4×C11—81no—
785C2×C4×C11—81no—
786C2×C4×C11—81no—
787C2×C4×C11—81no—
788C2×C4×C11—81no—
789C2×C4×C11C22×D411yescharacteristic
790C2×C4×C11C22×D411yescharacteristic
791C2×C4×C11C22×D411yescharacteristic
792C2×C4×C11C22×D411yescharacteristic
793C2×C4×C11C22×D411yescharacteristic
794C2×C4×C11C2511yescharacteristic
795C22⋊D11—24no—
796C22⋊D11—24no—
797C22⋊D11—24no—
798C22⋊D11—24no—
799C22⋊D11—42no—
800C22⋊D11—81no—
801C22⋊D11—81no—
802C22⋊D11—81no—
803C22⋊D11—81no—
804C2×Dic11—22no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—21no—
808C2×Dic11—21no—
809C2×Dic11—21no—
810C2×Dic11—42no—
811C2×Dic11—81no—
812C2×Dic11—81no—
813C2×Dic11—81no—
814C2×Dic11—81no—
815C2×Dic11—81no—
816C2×Dic11C22×D411yescharacteristic
817C2×Dic11C22×D411yescharacteristic
818C2×Dic11C22×D411yescharacteristic
819C2×Dic11C22×D411yescharacteristic
820C2×Dic11C22×D411yescharacteristic
821C2×Dic11C22×D411yescharacteristic
822D44—24no—
823D44—21no—
824D44—21no—
825D44—21no—
826D44—21no—
827D44—42no—
828D44—81no—
829D44C2×#4112yes—
830D44C2×#4112yes—
831C4×D11—22no—
832C4×D11—21no—
833C4×D11—21no—
834C4×D11—22no—
835C4×D11—41no—
836C4×D11—41no—
837C4×D11—41no—
838C4×D11—41no—
839C4×D11—42no—
840C4×D11—42no—
841C4×D11—42no—
842C4×D11—81no—
843C4×D11—81no—
844C4×D11—81no—
845C4×D11—81no—
846C4×D11—81no—
847C4×D11—81no—
848C4×D11—81no—
849C4×D11—81no—
850C4×D11—81no—
851C4×D11—81no—
852C4×D11C2×#4112yes—
853C4×D11C2×#4112yes—
854Dic22—21no—
855Dic22—21no—
856Dic22—81no—
857C8×C11—21no—
858C8×C11—21no—
859C8×C11—21no—
860C8×C11—21no—
861C11⋊C8—21no—
862C11⋊C8—21no—
863C11⋊C8—21no—
864C11⋊C8—21no—
865C23×D4—111no—
866C2×AGL(1,ℤ/8)—111no—
867C2×AGL(1,ℤ/8)—111no—
868C2×AGL(1,ℤ/8)—111no—
869C2×AGL(1,ℤ/8)—111no—
870#542—111no—
871#542—111no—
872#542—111no—
873#542C2×D1111yescharacteristic, complemented
874#541—111no—
875#541—111no—
876#540—111no—
877#540—111no—
878#539—221no—
879#539—221no—
880#538—221no—
881#538—221no—
882#533—111no—
883#532—111no—
884#529—221no—
885#529—221no—
886#529—221no—
887#529—221no—
888#525—111no—
889#525—111no—
890#518—111no—
891#518—111no—
892#518—111no—
893#518—111no—
894#518—111no—
895#518—111no—
896#518—111no—
897#518—221no—
898#518—221no—
899#518—221no—
900#518—221no—
901#518C2×D1111yescharacteristic
902C4×#41—111no—
903C4×#41—111no—
904C2×C4×D4—111no—
905C2×C4×D4—111no—
906C2×C4×D4—111no—
907C2×C4×D4—111no—
908C2×C4×D4—221no—
909C2×C4×D4—221no—
910C2×#117—111no—
911C2×#117—111no—
912C22×C22⋊C4—221no—
913C22×C22⋊C4—221no—
914#485—111no—
915#485—111no—
916#485—111no—
917#485—111no—
918#485—111no—
919#485—111no—
920#485—111no—
921#485C2×D1111yescharacteristic, complemented
922#482—111no—
923#482—111no—
924#482—111no—
925#482—111no—
926#482—111no—
927#482—111no—
928#482—111no—
929#482C2×D1111yescharacteristic, complemented
930#478—111no—
931#478—111no—
932#478—111no—
933#478—111no—
934#478—111no—
935#478—111no—
936#478—111no—
937#478—111no—
938#476—111no—
939#476—111no—
940#476—111no—
941#476C2×D1111yescharacteristic, complemented
942#474—111no—
943#474—111no—
944#474—111no—
945#474C2×D1111yescharacteristic, complemented
946#463—111no—
947#463—111no—
948#463—111no—
949#463—111no—
950#463—111no—
951#463—111no—
952#463C2×D1111yescharacteristic, complemented
953#463C2×D1111yescharacteristic, complemented
954#461—111no—
955#461—111no—
956#461—111no—
957#461—111no—
958#459—111no—
959#459—111no—
960#459—111no—
961#459—111no—
962#450—111no—
963#450—111no—
964#450—111no—
965#450—111no—
966#450—111no—
967#450—111no—
968#450—111no—
969#450C2×D1111yescharacteristic
970#447—111no—
971#447—111no—
972#447—111no—
973#447—111no—
974#447—111no—
975#447—111no—
976#447—111no—
977#447C2×D1111yescharacteristic
978#442—111no—
979#442—111no—
980#442—111no—
981#442—111no—
982#442—111no—
983#442—111no—
984#442—111no—
985#442C2×D1111yescharacteristic, complemented
986#440—111no—
987#440—111no—
988#440—111no—
989#440—111no—
990#440—111no—
991#440—111no—
992#440—111no—
993#440C2×D1111yescharacteristic, complemented
994C4×SD16—111no—
995C4×SD16—111no—
996C4×SD16—111no—
997C4×SD16—111no—
998C4×SD16—111no—
999C4×SD16—111no—
1000C4×SD16—111no—
1001C4×SD16C2×D1111yescharacteristic, complemented
1002C4×D8—111no—
1003C4×D8—111no—
1004C4×D8—111no—
1005C4×D8—111no—
1006C4×D8—111no—
1007C4×D8—111no—
1008C4×D8—111no—
1009C4×D8C2×D1111yescharacteristic, complemented
1010#433—111no—
1011#433—111no—
1012#433—111no—
1013#433—111no—
1014#433—111no—
1015#433—111no—
1016#433—111no—
1017#433C2×D1111yescharacteristic, complemented
1018#428—111no—
1019#428—111no—
1020#428—111no—
1021#428—111no—
1022#423—111no—
1023#423—111no—
1024#418—111no—
1025#418—111no—
1026#418—111no—
1027#418—111no—
1028#417—111no—
1029#417—111no—
1030#417—111no—
1031#417—111no—
1032#407—111no—
1033#407—111no—
1034C4×M16—111no—
1035C4×M16—111no—
1036C22×C11—21no—
1037C22×C11—21no—
1038C22×C11—21no—
1039C22×C11—22no—
1040C22×C11—22no—
1041C22×C11—41no—
1042C22×C11—41no—
1043C22×C11—41no—
1044C22×C11—41no—
1045C22×C11—41no—
1046C22×C11—41no—
1047C22×C11—41no—
1048C22×C11—84no—
1049C22×C11C23×D411yescharacteristic
1050C2×D11—21no—
1051C2×D11—21no—
1052C2×D11—21no—
1053C2×D11—21no—
1054C2×D11—21no—
1055C2×D11—22no—
1056C2×D11—22no—
1057C2×D11—48no—
1058C2×D11—48no—
1059C2×D11—44no—
1060C2×D11—41no—
1061C2×D11—41no—
1062C2×D11—41no—
1063C2×D11—41no—
1064C2×D11—41no—
1065C2×D11—41no—
1066C2×D11—41no—
1067C2×D11—84no—
1068C2×D11—84no—
1069C2×D11—84no—
1070C2×D11#52512yes—
1071C4×C11—21no—
1072C4×C11—21no—
1073C4×C11—21no—
1074C4×C11—21no—
1075C4×C11—21no—
1076C4×C11—41no—
1077C4×C11—41no—
1078C4×C11—41no—
1079C4×C11—41no—
1080C4×C11—41no—
1081C4×C11C22×#4111yescharacteristic
1082C4×C11C22×#4111yescharacteristic
1083Dic11—21no—
1084Dic11—21no—
1085Dic11—21no—
1086Dic11—21no—
1087Dic11—21no—
1088Dic11—41no—
1089Dic11—41no—
1090Dic11—41no—
1091Dic11—41no—
1092Dic11—41no—
1093Dic11#52512yes—
1094C25—221no—
1095C2×#41—111no—
1096C2×#41—111no—
1097C22×D4—111no—
1098C22×D4—111no—
1099C22×D4—111no—
1100C22×D4—111no—
1101C22×D4—111no—
1102C22×D4—221no—
1103C22×D4—221no—
1104C22×D4—221no—
1105C22×D4—224no—
1106C22×D4—224no—
1107C22×D4C22×D1111yescharacteristic
1108C23×C4—111no—
1109C23×C4—221no—
1110C23×C4—221no—
1111C23×C4—221no—
1112C23×C4—221no—
1113AGL(1,ℤ/8)—224no—
1114AGL(1,ℤ/8)—224no—
1115AGL(1,ℤ/8)—224no—
1116AGL(1,ℤ/8)—224no—
1117C2×SD16—111no—
1118C2×SD16—111no—
1119C2×SD16—111no—
1120C2×SD16—111no—
1121C2×SD16—111no—
1122C2×SD16—111no—
1123C2×SD16C22×D1111yescharacteristic
1124C2×SD16C22×D1111yescharacteristic
1125C2×D8—111no—
1126C2×D8—111no—
1127C2×D8—111no—
1128C2×D8—111no—
1129C2×D8—111no—
1130C2×D8—111no—
1131C2×D8C22×D1111yescharacteristic
1132C2×D8C22×D1111yescharacteristic
1133C2×M16—111no—
1134C2×M16—111no—
1135C2×M16—111no—
1136C2×M16—111no—
1137C4⋊Q8—111no—
1138C4⋊Q8—111no—
1139C4⋊Q8C22×D1111yescharacteristic, complemented
1140#127—111no—
1141#126—21no—
1142#126—221no—
1143#126—221no—
1144#126—221no—
1145#126—221no—
1146#126—221no—
1147#126—221no—
1148#126—221no—
1149#125—111no—
1150#125—111no—
1151#125—221no—
1152#125—221no—
1153#125—221no—
1154#125—221no—
1155#124—21no—
1156#124—111no—
1157#124—221no—
1158#124—221no—
1159#124—221no—
1160#124C22×D1111yescharacteristic, complemented
1161#123—21no—
1162#123—221no—
1163#123—221no—
1164#123—221no—
1165#123—221no—
1166#123—221no—
1167#123—221no—
1168#123—221no—
1169#123—221no—
1170#123—221no—
1171C22⋊Q8—21no—
1172C22⋊Q8—111no—
1173C22⋊Q8—111no—
1174C22⋊Q8—111no—
1175C22⋊Q8—221no—
1176C22⋊Q8—221no—
1177C22⋊Q8—221no—
1178C22⋊Q8—221no—
1179C22⋊Q8—221no—
1180C22⋊Q8C22×D1111yescharacteristic
1181#121—111no—
1182#121—111no—
1183#121—111no—
1184#121—221no—
1185#121—221no—
1186#121—221no—
1187#121—221no—
1188#121—221no—
1189#121—221no—
1190#121C22×D1111yescharacteristic
1191#120—221no—
1192#120—221no—
1193C4×Q8—111no—
1194C4×Q8—111no—
1195C4×Q8—111no—
1196C4×Q8—221no—
1197C4×Q8—221no—
1198C4×Q8C22×D1111yescharacteristic, complemented
1199C4×D4—21no—
1200C4×D4—21no—
1201C4×D4—111no—
1202C4×D4—111no—
1203C4×D4—111no—
1204C4×D4—111no—
1205C4×D4—111no—
1206C4×D4—111no—
1207C4×D4—111no—
1208C4×D4—111no—
1209C4×D4—111no—
1210C4×D4—111no—
1211C4×D4—111no—
1212C4×D4—111no—
1213C4×D4—111no—
1214C4×D4—111no—
1215C4×D4—111no—
1216C4×D4—221no—
1217C4×D4—221no—
1218C4×D4—221no—
1219C4×D4—221no—
1220C4×D4—221no—
1221C4×D4—221no—
1222C4×D4—221no—
1223C4×D4—221no—
1224C4×D4—221no—
1225C4×D4—221no—
1226C4×D4—221no—
1227C4×D4—221no—
1228C4×D4—221no—
1229C4×D4—221no—
1230C4×D4—221no—
1231C4×D4—221no—
1232C4×D4—221no—
1233C4×D4—221no—
1234C4×D4—221no—
1235C4×D4—221no—
1236C4×D4—221no—
1237C4×D4—221no—
1238C4×D4—221no—
1239C4×D4—221no—
1240C4×D4—221no—
1241C4×D4—221no—
1242C4×D4—221no—
1243C4×D4—221no—
1244C4×D4—221no—
1245C4×D4—221no—
1246C4×D4—221no—
1247C4×D4—221no—
1248C4×D4C22×D1111yescharacteristic
1249C4×D4C22×D1111yescharacteristic
1250C4×D4C22×D1111yescharacteristic
1251C4×D4C22×D1111yescharacteristic
1252C4×D4C22×D1111yescharacteristic, complemented
1253#117—111no—
1254#117—111no—
1255#117—111no—
1256#117—111no—
1257#117—111no—
1258#117—111no—
1259#117—111no—
1260#117—111no—
1261#117—111no—
1262#117—111no—
1263#117—111no—
1264#117—111no—
1265#117—221no—
1266#117—221no—
1267#117—221no—
1268#117—221no—
1269#117C22×D1111yescharacteristic
1270#117C22×D1111yescharacteristic
1271C2×C4⋊C4—111no—
1272C2×C4⋊C4—111no—
1273C2×C4⋊C4—111no—
1274C2×C4⋊C4—111no—
1275C2×C22⋊C4—21no—
1276C2×C22⋊C4—21no—
1277C2×C22⋊C4—111no—
1278C2×C22⋊C4—111no—
1279C2×C22⋊C4—221no—
1280C2×C22⋊C4—221no—
1281C2×C22⋊C4—221no—
1282C2×C22⋊C4—221no—
1283C2×C22⋊C4—221no—
1284C2×C22⋊C4—221no—
1285C2×C22⋊C4—221no—
1286C2×C22⋊C4—221no—
1287C2×C22⋊C4—221no—
1288C2×C22⋊C4—221no—
1289C2×C22⋊C4—221no—
1290C2×C22⋊C4—221no—
1291C2×C22⋊C4—221no—
1292C2×C22⋊C4—221no—
1293C2×C22⋊C4—221no—
1294C2×C22⋊C4—221no—
1295C2×C22⋊C4—221no—
1296C2×C22⋊C4—221no—
1297C2×C22⋊C4—221no—
1298C2×C42—111no—
1299C2×C42—111no—
1300C2×C42—221no—
1301C2×C42—221no—
1302C2×C42—221no—
1303#107—111no—
1304#107—111no—
1305#107—111no—
1306#107—111no—
1307#107—111no—
1308#107—111no—
1309#107C22×D1111yescharacteristic, complemented
1310#107C22×D1111yescharacteristic, complemented
1311#106—111no—
1312#106—111no—
1313#106—111no—
1314#106—111no—
1315#106—111no—
1316#106—111no—
1317#106C22×D1111yescharacteristic, complemented
1318#106C22×D1111yescharacteristic, complemented
1319C4⋊C8—111no—
1320C4⋊C8—111no—
1321C4⋊C8—111no—
1322C4⋊C8—111no—
1323C4⋊C8—111no—
1324C4⋊C8—111no—
1325C4⋊C8C22×D1111yescharacteristic, complemented
1326C4⋊C8C22×D1111yescharacteristic, complemented
1327#103—111no—
1328#103—111no—
1329#103—111no—
1330#103—111no—
1331#103—111no—
1332#103—111no—
1333#103C22×D1111yescharacteristic, complemented
1334#103C22×D1111yescharacteristic, complemented
1335#102—111no—
1336#102—111no—
1337#102—111no—
1338#102—111no—
1339#102—111no—
1340#102—111no—
1341#102—111no—
1342#102—111no—
1343#102—111no—
1344#102—111no—
1345#102—111no—
1346#102—111no—
1347#102—111no—
1348#102—111no—
1349#102—111no—
1350#102—111no—
1351#102—111no—
1352#102—111no—
1353#102C22×D1111yescharacteristic
1354#102C22×D1111yescharacteristic
1355#102C22×D1111yescharacteristic
1356#102C22×D1111yescharacteristic
1357#102C22×D1111yescharacteristic, complemented
1358#102C22×D1111yescharacteristic, complemented
1359C22⋊C8—111no—
1360C22⋊C8—111no—
1361C22⋊C8—111no—
1362C22⋊C8—111no—
1363C22⋊C8—111no—
1364C22⋊C8—111no—
1365C22⋊C8C22×D1111yescharacteristic
1366C22⋊C8C22×D1111yescharacteristic
1367#97—111no—
1368#97—111no—
1369#97—111no—
1370#97C22×D1111yescharacteristic, complemented
1371C4×C8—111no—
1372C4×C8—111no—
1373C4×C8—111no—
1374C4×C8C22×D1111yescharacteristic, complemented
1375C2×C11—41no—
1376C2×C11—42no—
1377C2×C11—42no—
1378C2×C11—81no—
1379C2×C11C2×#52511yescharacteristic
1380C2×C11#358511yescharacteristic
1381C2×C11#358511yescharacteristic
1382D11—22no—
1383D11—41no—
1384D11—42no—
1385D11—42no—
1386D11—81no—
1387C24—21no—
1388C24—111no—
1389C24—221no—
1390C24—221no—
1391C24—221no—
1392C24—221no—
1393C24—228no—
1394C24—221no—
1395C24—882no—
1396C24—882no—
1397#41—222no—
1398#41—222no—
1399#41—222no—
1400#41—222no—
1401C2×Q8—21no—
1402C2×Q8—111no—
1403C2×Q8—221no—
1404C2×Q8C23×D1111yescharacteristic
1405C2×D4—22no—
1406C2×D4—22no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—114no—
1410C2×D4—114no—
1411C2×D4—111no—
1412C2×D4—111no—
1413C2×D4—111no—
1414C2×D4—222no—
1415C2×D4—222no—
1416C2×D4—221no—
1417C2×D4—221no—
1418C2×D4—222no—
1419C2×D4—222no—
1420C2×D4—221no—
1421C2×D4—221no—
1422C2×D4—221no—
1423C2×D4—221no—
1424C2×D4—221no—
1425C2×D4—221no—
1426C2×D4—222no—
1427C2×D4—222no—
1428C2×D4—228no—
1429C2×D4—228no—
1430C2×D4—228no—
1431C2×D4—222no—
1432C2×D4—222no—
1433C2×D4—221no—
1434C2×D4—221no—
1435C2×D4—221no—
1436C2×D4—221no—
1437C2×D4C23×D1111yescharacteristic
1438C2×D4C23×D1111yescharacteristic
1439C2×D4C23×D1111yescharacteristic
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—111no—
1446C22×C4—111no—
1447C22×C4—111no—
1448C22×C4—111no—
1449C22×C4—111no—
1450C22×C4—111no—
1451C22×C4—111no—
1452C22×C4—111no—
1453C22×C4—111no—
1454C22×C4—222no—
1455C22×C4—222no—
1456C22×C4—221no—
1457C22×C4—221no—
1458C22×C4—221no—
1459C22×C4—221no—
1460C22×C4—221no—
1461C22×C4—221no—
1462C22×C4—221no—
1463C22×C4—221no—
1464C22×C4—221no—
1465C22×C4—221no—
1466C22×C4—221no—
1467C22×C4—221no—
1468C22×C4—221no—
1469C22×C4—221no—
1470C22×C4—221no—
1471C22×C4—221no—
1472C22×C4—221no—
1473C22×C4—221no—
1474C22×C4—221no—
1475C22×C4—882no—
1476C22×C4—882no—
1477C22×C4—882no—
1478C22×C4—882no—
1479C22×C4C23×D1111yescharacteristic
1480SD16—22no—
1481SD16—22no—
1482SD16—222no—
1483SD16—222no—
1484SD16—222no—
1485SD16—222no—
1486SD16—222no—
1487SD16—222no—
1488D8—22no—
1489D8—22no—
1490D8—222no—
1491D8—222no—
1492D8—222no—
1493D8—222no—
1494D8—222no—
1495D8—222no—
1496M16—222no—
1497M16—222no—
1498M16—222no—
1499M16—222no—
1500C2×C8—111no—
1501C2×C8—111no—
1502C2×C8—111no—
1503C2×C8—111no—
1504C2×C8C23×D1111yescharacteristic
1505C2×C8C23×D1111yescharacteristic
1506C2×C8C23×D1111yescharacteristic
1507C2×C8C23×D1111yescharacteristic
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—111no—
1512C4⋊C4—111no—
1513C4⋊C4—111no—
1514C4⋊C4—111no—
1515C4⋊C4—111no—
1516C4⋊C4—111no—
1517C4⋊C4—111no—
1518C4⋊C4—111no—
1519C4⋊C4—111no—
1520C4⋊C4—111no—
1521C4⋊C4—221no—
1522C4⋊C4—221no—
1523C4⋊C4—221no—
1524C4⋊C4—221no—
1525C4⋊C4—221no—
1526C4⋊C4—221no—
1527C4⋊C4—221no—
1528C4⋊C4—221no—
1529C4⋊C4—221no—
1530C4⋊C4—221no—
1531C4⋊C4—221no—
1532C4⋊C4—221no—
1533C4⋊C4—221no—
1534C4⋊C4—221no—
1535C4⋊C4—221no—
1536C4⋊C4D4×D1111yescharacteristic
1537C4⋊C4D4×D1111yescharacteristic
1538C4⋊C4C23×D1111yescharacteristic
1539C4⋊C4C23×D1111yescharacteristic
1540C4⋊C4C23×D1111yescharacteristic
1541C4⋊C4C23×D1111yescharacteristic
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—111no—
1553C22⋊C4—111no—
1554C22⋊C4—111no—
1555C22⋊C4—111no—
1556C22⋊C4—111no—
1557C22⋊C4—111no—
1558C22⋊C4—221no—
1559C22⋊C4—221no—
1560C22⋊C4—221no—
1561C22⋊C4—221no—
1562C22⋊C4—221no—
1563C22⋊C4—221no—
1564C22⋊C4—221no—
1565C22⋊C4—221no—
1566C22⋊C4—221no—
1567C22⋊C4—221no—
1568C22⋊C4—221no—
1569C22⋊C4—221no—
1570C22⋊C4—221no—
1571C22⋊C4—221no—
1572C22⋊C4—221no—
1573C22⋊C4—221no—
1574C22⋊C4—221no—
1575C22⋊C4—221no—
1576C22⋊C4—221no—
1577C22⋊C4—221no—
1578C22⋊C4—221no—
1579C22⋊C4—221no—
1580C22⋊C4—221no—
1581C22⋊C4—221no—
1582C22⋊C4—221no—
1583C22⋊C4—221no—
1584C22⋊C4—221no—
1585C22⋊C4—221no—
1586C22⋊C4D4×D1111yescharacteristic
1587C22⋊C4D4×D1111yescharacteristic
1588C42—21no—
1589C42—21no—
1590C42—111no—
1591C42—111no—
1592C42—111no—
1593C42—111no—
1594C42—111no—
1595C42—111no—
1596C42—221no—
1597C42—221no—
1598C42—221no—
1599C42—221no—
1600C42—221no—
1601C42—221no—
1602C42—221no—
1603C42—221no—
1604C42C23×D1111yescharacteristic
1605C42C23×D1111yescharacteristic
1606C11#6056411yescharacteristic, complemented, Sylow
1607C23—24no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—81no—
1612C23—81no—
1613C23—111no—
1614C23—111no—
1615C23—222no—
1616C23—224no—
1617C23—224no—
1618C23—224no—
1619C23—224no—
1620C23—224no—
1621C23—221no—
1622C23—221no—
1623C23—221no—
1624C23—441no—
1625C23—441no—
1626C23—442no—
1627C23—442no—
1628C23—442no—
1629C23—442no—
1630C23—881no—
1631C23—881no—
1632C23—881no—
1633C23—881no—
1634C23—881no—
1635C23—881no—
1636C23—8816no—
1637C23C2×D4×D1111yescharacteristic
1638Q8—21no—
1639Q8—21no—
1640Q8—81no—
1641Q8—221no—
1642Q8—221no—
1643Q8—881no—
1644D4—24no—
1645D4—21no—
1646D4—21no—
1647D4—21no—
1648D4—21no—
1649D4—81no—
1650D4—112no—
1651D4—112no—
1652D4—224no—
1653D4—224no—
1654D4—224no—
1655D4—224no—
1656D4—224no—
1657D4—221no—
1658D4—221no—
1659D4—221no—
1660D4—221no—
1661D4—442no—
1662D4—442no—
1663D4—881no—
1664D4—881no—
1665D4—881no—
1666D4—881no—
1667D4—881no—
1668D4#41×D1112yes—
1669D4#41×D1112yes—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—81no—
1682C2×C4—111no—
1683C2×C4—112no—
1684C2×C4—112no—
1685C2×C4—111no—
1686C2×C4—111no—
1687C2×C4—111no—
1688C2×C4—111no—
1689C2×C4—111no—
1690C2×C4—222no—
1691C2×C4—222no—
1692C2×C4—222no—
1693C2×C4—221no—
1694C2×C4—221no—
1695C2×C4—221no—
1696C2×C4—221no—
1697C2×C4—221no—
1698C2×C4—221no—
1699C2×C4—221no—
1700C2×C4—441no—
1701C2×C4—441no—
1702C2×C4—441no—
1703C2×C4—441no—
1704C2×C4—442no—
1705C2×C4—442no—
1706C2×C4—442no—
1707C2×C4—442no—
1708C2×C4—881no—
1709C2×C4—881no—
1710C2×C4—881no—
1711C2×C4—881no—
1712C2×C4—881no—
1713C2×C4—881no—
1714C2×C4—881no—
1715C2×C4—881no—
1716C2×C4—881no—
1717C2×C4—881no—
1718C2×C4—881no—
1719C2×C4—881no—
1720C2×C4—881no—
1721C2×C4—881no—
1722C2×C4—881no—
1723C2×C4C2×D4×D1111yescharacteristic
1724C2×C4C2×D4×D1111yescharacteristic
1725C2×C4C2×D4×D1111yescharacteristic
1726C2×C4C2×D4×D1111yescharacteristic
1727C2×C4C2×D4×D1111yescharacteristic
1728C2×C4C24×D1111yescharacteristic
1729C8—21no—
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—221no—
1734C8—221no—
1735C8—221no—
1736C8—221no—
1737C22—21no—
1738C22—21no—
1739C22—22no—
1740C22—22no—
1741C22—21no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—84no—
1750C22—112no—
1751C22—221no—
1752C22—221no—
1753C22—221no—
1754C22—221no—
1755C22—222no—
1756C22—222no—
1757C22—221no—
1758C22—444no—
1759C22—448no—
1760C22—448no—
1761C22—441no—
1762C22—441no—
1763C22—441no—
1764C22—441no—
1765C22—441no—
1766C22—441no—
1767C22—441no—
1768C22—884no—
1769C22—884no—
1770C22—884no—
1771C22C22×D4×D1111yescharacteristic
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—21no—
1776C4—21no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—112no—
1783C4—221no—
1784C4—221no—
1785C4—221no—
1786C4—221no—
1787C4—221no—
1788C4—441no—
1789C4—441no—
1790C4—441no—
1791C4—441no—
1792C4—441no—
1793C4C2×#41×D1111yescharacteristic
1794C4C2×#41×D1111yescharacteristic
1795C2—41no—
1796C2—42no—
1797C2—42no—
1798C2—81no—
1799C2—222no—
1800C2—441no—
1801C2—442no—
1802C2—442no—
1803C2—881no—
1804C2D11×#52511yescharacteristic
1805C2#1308339111yescharacteristic
1806C2#1308339411yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3118C2
socleC22×C11C23×D4
hypercenter#3118D11
hypocenterC11#60564
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3118

Complements

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

NH ≅ G/Ntype
1. #13082003C2semidirect
2. D11×#518C2semidirect
3. #13078867C2semidirect
4. #13078865C2semidirect
5. #13078864C2semidirect
6. #13078862C2semidirect
7. #13078858C2semidirect
8. #13078856C2semidirect
9. #13078855C2semidirect
10. #13078853C2semidirect
11. #13078807C2semidirect
12. #13078805C2semidirect
13. #13078802C2semidirect
14. #13078800C2semidirect
15. #13078799C2semidirect
16. #13078797C2semidirect
17. #13078794C2semidirect
18. #13078548C2semidirect
19. #13078544C2semidirect
20. #13078414C2semidirect
21. #13078408C2semidirect
22. #13078078C2semidirect
23. #13078078C2semidirect
24. #13077844C2semidirect
25. #13077840C2semidirect
26. #13077427C2semidirect
27. C4×#66967C2semidirect
28. #13077421C2semidirect
29. C4×#66964C2semidirect
30. #13077250C2semidirect
31. C11×#3118C2semidirect
33. C11×#542C22semidirect
40. #10623264C22semidirect
41. #10623259C22semidirect
44. #10623213C22semidirect
47. #10623199C22semidirect
52. #10623156C22semidirect
54. #10623150C22semidirect
56. #10623114C22semidirect
57. C4×#4343C22semidirect
58. #10623093C22semidirect
71. C4×#4341C22semidirect
72. #10623065C22semidirect
81. C11×#485C22semidirect
82. C11×#482C22semidirect
83. C11×#476C22semidirect
84. C11×#474C22semidirect
85. C11×#463C22semidirect
86. C11×#463C22semidirect
89. C11×#442C22semidirect
90. C11×#440C22semidirect
91. C4×C11×SD16C22semidirect
92. C4×C11×D8C22semidirect
93. C11×#433C22semidirect
98. #10622777C22semidirect
99. #10622775C22semidirect
100. #10622775C22semidirect
101. SD16×Dic11C22semidirect
104. #10622765C22semidirect
105. #10622763C22semidirect
106. #10622763C22semidirect
107. D8×Dic11C22semidirect
108. #10622700C22semidirect
109. #10622697C22semidirect
110. #10622670C22semidirect
111. #10622670C22semidirect
113. #10622658C22semidirect
115. #10622648C22semidirect
116. #10622639C22semidirect
117. C4×#4325C22semidirect
118. #10622631C22semidirect
119. C4×#4324C22semidirect
120. #10622629C22semidirect
121. #10622629C22semidirect
122. #10622627C22semidirect
123. #10622627C22semidirect
124. C4×#4323C22semidirect
125. C4×#4323C22semidirect
126. #10622621C22semidirect
127. #10622620C22semidirect
128. #10622616C22semidirect
129. #10622613C22semidirect
130. #10622609C22semidirect
131. #10622504C22semidirect
132. #10622504C22semidirect
133. #10622502C22semidirect
134. #10622501C22semidirect
135. #10622498C22semidirect
136. #10622494C22semidirect
137. #10622494C22semidirect
138. #10622485C22semidirect
139. #10622484C22semidirect
140. #10622484C22semidirect
141. #10622482C22semidirect
142. #10622480C22semidirect
143. #10622479C22semidirect
144. #10622474C22semidirect
145. #10622474C22semidirect
146. #10622465C22semidirect
147. #10622459C22semidirect
148. #10622457C22semidirect
149. #10622457C22semidirect
150. #10622455C22semidirect
151. #10622453C22semidirect
152. #10622453C22semidirect
153. #10622450C22semidirect
154. #10622450C22semidirect
155. #10622431C22semidirect
156. #10622431C22semidirect
157. #10622430C22semidirect
158. #10622428C22semidirect
159. #10622427C22semidirect
160. #10622416C22semidirect
161. #10622416C22semidirect
162. #10622401C22semidirect
163. #10622399C22semidirect
164. #10622399C22semidirect
165. #10622398C22semidirect
166. #10622398C22semidirect
167. #10622397C22semidirect
168. #10622392C22semidirect
173. #10622384C22semidirect
174. #10622384C22semidirect
179. #10622379C22semidirect
180. #10622379C22semidirect
181. #10622376C22semidirect
182. #10622376C22semidirect
183. #10622371C22semidirect
184. #10622370C22semidirect
185. #10622369C22semidirect
186. #10622369C22semidirect
187. #10622350C22semidirect
192. #10622336C22semidirect
193. #10622333C22semidirect
194. #10622333C22semidirect
195. #10622324C22semidirect
196. #10622323C22semidirect
197. #10622322C22semidirect
198. #10622320C22semidirect
199. C4×D88C22semidirect
200. C4×#4314C22semidirect
201. #10622303C22semidirect
202. C4×#4313C22semidirect
226. C11×C4⋊Q8C23semidirect
229. C11×#124C23semidirect
234. C4×Q8×C11C23semidirect
241. C4×D4×C11C23semidirect
253. Q8×Dic11C23semidirect
254. #66997C23semidirect
257. #66993C23semidirect
269. D4×Dic11C23semidirect
325. #66946C23semidirect
338. #66943C23semidirect
339. #66943C23semidirect
343. #66940C23semidirect
393. #66928C23semidirect
401. C4×D44C23semidirect
410. #66922C23semidirect
411. C4×Dic22C23semidirect
412. C11×#107C23semidirect
413. C11×#107C23semidirect
414. C11×#106C23semidirect
415. C11×#106C23semidirect
416. C11×C4⋊C8C23semidirect
417. C11×C4⋊C8C23semidirect
418. C11×#103C23semidirect
419. C11×#103C23semidirect
424. C11×#102C23semidirect
425. C11×#102C23semidirect
428. C11×#97C23semidirect
429. C4×C8×C11C23semidirect
430. #66899C23semidirect
431. #66899C23semidirect
436. #66896C23semidirect
437. #66896C23semidirect
444. #66885C23semidirect
445. #66885C23semidirect
450. #66882C23semidirect
451. #66882C23semidirect
452. #66881C23semidirect
453. #66881C23semidirect
454. #66880C23semidirect
455. #66880C23semidirect
456. #66879C23semidirect
457. #66879C23semidirect
458. Dic11⋊C8C23semidirect
459. Dic11⋊C8C23semidirect
460. Dic11⋊C8C23semidirect
461. Dic11⋊C8C23semidirect
462. C8×Dic11C23semidirect
463. C8×Dic11C23semidirect
464. #66874C23semidirect
465. #66874C23semidirect
470. #66873C23semidirect
471. #66873C23semidirect
472. #66872C23semidirect
473. #66872C23semidirect
474. #66872C23semidirect
475. #66872C23semidirect
476. #66871C23semidirect
477. #66871C23semidirect
478. #66871C23semidirect
479. #66871C23semidirect
480. C4⋊(C11⋊C8)C23semidirect
481. C4⋊(C11⋊C8)C23semidirect
482. #66867C23semidirect
483. C4×C11⋊C8C23semidirect
721. #3118D11semidirect
873. #542C2×D11semidirect
921. #485C2×D11semidirect
929. #482C2×D11semidirect
941. #476C2×D11semidirect
945. #474C2×D11semidirect
952. #463C2×D11semidirect
953. #463C2×D11semidirect
985. #442C2×D11semidirect
993. #440C2×D11semidirect
1001. C4×SD16C2×D11semidirect
1009. C4×D8C2×D11semidirect
1017. #433C2×D11semidirect
1139. C4⋊Q8C22×D11semidirect
1160. #124C22×D11semidirect
1198. C4×Q8C22×D11semidirect
1252. C4×D4C22×D11semidirect
1309. #107C22×D11semidirect
1310. #107C22×D11semidirect
1317. #106C22×D11semidirect
1318. #106C22×D11semidirect
1325. C4⋊C8C22×D11semidirect
1326. C4⋊C8C22×D11semidirect
1333. #103C22×D11semidirect
1334. #103C22×D11semidirect
1357. #102C22×D11semidirect
1358. #102C22×D11semidirect
1370. #97C22×D11semidirect
1374. C4×C8C22×D11semidirect
1606. C11#60564semidirect

Maximal subgroups

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

subgroupindex
#130820032
D11×#5182
#130788672
#130788652
#130788642
#130788622
#130788582
#130788562
#130788552
#130788532
#130788072
#130788052
#130788022
#130788002
#130787992
#130787972
#130787942
#130785482
#130785442
#130784142
#130784082
#130780782
#130778442
#130778402
#130774272
C4×#669672
#130774212
C4×#669642
#130772502
C11×#31182
#6056411