Finite Group Databasebeta

← #15630926

Subgroups — #15630926

Order 2816.

2188 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D11×#553C211yesmaximal, characteristic, complemented
2#13082100C211yesmaximal, characteristic, complemented
3#13080871C211yesmaximal, characteristic, complemented
4#13080863C211yesmaximal, characteristic, complemented
5#13080817C211yesmaximal, characteristic, complemented
6#13080790C211yesmaximal, characteristic, complemented
7#13080782C211yesmaximal, characteristic, complemented
8#13080758C211yesmaximal, characteristic, complemented
9#13080750C211yesmaximal, characteristic, complemented
10#13080625C211yesmaximal, characteristic, complemented
11#13080617C211yesmaximal, characteristic, complemented
12#13080593C211yesmaximal, characteristic, complemented
13#13080585C211yesmaximal, characteristic, complemented
14#13080525C211yesmaximal, characteristic, complemented
15#13080517C211yesmaximal, characteristic, complemented
16#13080471C211yesmaximal, characteristic, complemented
17#13080463C211yesmaximal, characteristic, complemented
18#13079013C211yesmaximal, characteristic, complemented
19#13078548C211yesmaximal, characteristic, complemented
20#13078535C211yesmaximal, characteristic, complemented
21#13078433C211yesmaximal, characteristic, complemented
22#13078234C211yesmaximal, characteristic, complemented
23#13078230C211yesmaximal, characteristic, complemented
24#13078078C211yesmaximal, characteristic, complemented
25#13077865C211yesmaximal, characteristic, complemented
26#13077863C211yesmaximal, characteristic, complemented
27C4×#66964C211yesmaximal, characteristic, complemented
28#13077352C211yesmaximal, characteristic, complemented
29#13077130C211yesmaximal, characteristic, complemented
30D11×#417C211yesmaximal, characteristic, complemented
31C11×#3322C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C22×#4341C2211yescharacteristic
34C11×#553C2211yescharacteristic, complemented
35C11×#546C2211yescharacteristic, complemented
36#10623355C2211yescharacteristic, complemented
37D4×C22⋊D11C2211yescharacteristic, complemented
38C2×#66967C2211yescharacteristic, complemented
39C2×#66964C2211yescharacteristic
40C2×#66964C2211yescharacteristic, complemented
41C2×M16×D11C2211yescharacteristic, complemented
42C2×M16×D11C2211yescharacteristic, complemented
43#10623240—21no—
44D11×#126—21no—
45#10623226C2211yescharacteristic, complemented
46D11×#125C2211yescharacteristic, complemented
47#10623208C2211yescharacteristic, complemented
48#10623199C2211yescharacteristic
49#10623192—21no—
50#10623187—21no—
51#10623186—21no—
52D11×#123—21no—
53#10623163C2211yescharacteristic, complemented
54#10623158C2211yescharacteristic
55#10623149C2211yescharacteristic, complemented
56#10623145C2211yescharacteristic
57#10623141—21no—
58#10623137C2211yescharacteristic
59D11×#121—21no—
60D11×#121C2211yescharacteristic, complemented
61D11×#121C2211yescharacteristic, complemented
62#10623132—21no—
63#10623130C2211yescharacteristic, complemented
64#10623127—21no—
65#10623121—21no—
66#10623117—21no—
67#10623096C2211yescharacteristic, complemented
68#10623089C2211yescharacteristic, complemented
69#10623085C2211yescharacteristic, complemented
70#10623083C2211yescharacteristic, complemented
71C4×D4×D11—21no—
72C4×D4×D11C2211yescharacteristic
73C4×D4×D11C2211yescharacteristic, complemented
74#10623071—21no—
75C4×#4341C2211yescharacteristic
76#10623061C2211yescharacteristic
77D11×#117C2211yescharacteristic, complemented
78#10623045C2211yescharacteristic, complemented
79C2×C4⋊C4×D11C2211yescharacteristic, complemented
80#10623021—21no—
81C2×(C22⋊D11)⋊C4—21no—
82C11×#488C2211yescharacteristic, complemented
83C11×#485C2211yescharacteristic, complemented
84C11×#480C2211yescharacteristic, complemented
85C11×#478C2211yescharacteristic, complemented
86C11×#469C2211yescharacteristic, complemented
87C11×#468C2211yescharacteristic, complemented
88C11×#463C2211yescharacteristic, complemented
89C11×#449C2211yescharacteristic, complemented
90C11×#447C2211yescharacteristic, complemented
91C4×C11×D8C2211yescharacteristic, complemented
92C11×#436C2211yescharacteristic, complemented
93C11×#418C2211yescharacteristic, complemented
94C11×#417C2211yescharacteristic, complemented
95#10622851C2211yescharacteristic, complemented
96#10622845C2211yescharacteristic, complemented
97#10622830C2211yescharacteristic, complemented
98#10622828C2211yescharacteristic, complemented
99#10622784C2211yescharacteristic, complemented
100#10622783C2211yescharacteristic, complemented
101#10622775C2211yescharacteristic, complemented
102#10622771C2211yescharacteristic, complemented
103#10622771C2211yescharacteristic, complemented
104#10622770C2211yescharacteristic, complemented
105#10622769C2211yescharacteristic, complemented
106#10622765C2211yescharacteristic, complemented
107#10622763C2211yescharacteristic, complemented
108#10622748C2211yescharacteristic, complemented
109#10622747C2211yescharacteristic, complemented
110#10622746C2211yescharacteristic, complemented
111#10622740C2211yescharacteristic, complemented
112#10622740C2211yescharacteristic, complemented
113#10622733C2211yescharacteristic, complemented
114#10622681C2211yescharacteristic, complemented
115#10622676C2211yescharacteristic, complemented
116#10622670C2211yescharacteristic, complemented
117#10622669C2211yescharacteristic, complemented
118#10622662C2211yescharacteristic, complemented
119#10622658C2211yescharacteristic, complemented
120#10622655C2211yescharacteristic, complemented
121#10622653C2211yescharacteristic, complemented
122#10622652C2211yescharacteristic, complemented
123#10622652C2211yescharacteristic, complemented
124#10622650C2211yescharacteristic, complemented
125#10622646C2211yescharacteristic, complemented
126C4×#4324C2211yescharacteristic, complemented
127#10622629C2211yescharacteristic, complemented
128C4×#4323C2211yescharacteristic, complemented
129#10622625C2211yescharacteristic, complemented
130#10622622C2211yescharacteristic, complemented
131#10622617C2211yescharacteristic, complemented
132#10622616C2211yescharacteristic, complemented
133#10622584C2211yescharacteristic, complemented
134#10622579C2211yescharacteristic, complemented
135#10622502C2211yescharacteristic, complemented
136#10622498C2211yescharacteristic, complemented
137#10622497C2211yescharacteristic, complemented
138#10622497C2211yescharacteristic, complemented
139#10622496C2211yescharacteristic, complemented
140#10622494C2211yescharacteristic, complemented
141#10622494C2211yescharacteristic, complemented
142#10622490C2211yescharacteristic, complemented
143#10622479C2211yescharacteristic, complemented
144#10622477C2211yescharacteristic, complemented
145#10622474C2211yescharacteristic, complemented
146#10622470C2211yescharacteristic, complemented
147#10622457C2211yescharacteristic, complemented
148#10622450C2211yescharacteristic, complemented
149#10622447C2211yescharacteristic, complemented
150#10622442C2211yescharacteristic, complemented
151#10622431C2211yescharacteristic, complemented
152#10622428C2211yescharacteristic, complemented
153#10622427C2211yescharacteristic, complemented
154#10622420C2211yescharacteristic, complemented
155#10622419C2211yescharacteristic, complemented
156#10622416C2211yescharacteristic, complemented
157#10622416C2211yescharacteristic, complemented
158#10622416C2211yescharacteristic, complemented
159D11×#103C2211yescharacteristic, complemented
160D11×#103C2211yescharacteristic, complemented
161#10622410C2211yescharacteristic, complemented
162#10622410C2211yescharacteristic, complemented
163#10622399C2211yescharacteristic, complemented
164#10622398C2211yescharacteristic, complemented
165#10622394C2211yescharacteristic, complemented
166#10622394C2211yescharacteristic, complemented
167#10622391C2211yescharacteristic, complemented
168#10622390C2211yescharacteristic, complemented
169#10622390C2211yescharacteristic, complemented
170#10622388C2211yescharacteristic, complemented
171#10622388C2211yescharacteristic, complemented
172#10622386C2211yescharacteristic, complemented
173#10622385C2211yescharacteristic, complemented
174#10622385C2211yescharacteristic, complemented
175#10622385C2211yescharacteristic, complemented
176#10622385C2211yescharacteristic, complemented
177#10622384C2211yescharacteristic
178#10622384C2211yescharacteristic
179#10622384C2211yescharacteristic
180#10622384C2211yescharacteristic, complemented
181#10622384C2211yescharacteristic, complemented
182#10622384C2211yescharacteristic, complemented
183#10622383C2211yescharacteristic, complemented
184D11×#102C2211yescharacteristic, complemented
185D11×#102C2211yescharacteristic, complemented
186#10622379C2211yescharacteristic, complemented
187#10622377C2211yescharacteristic, complemented
188#10622377C2211yescharacteristic, complemented
189#10622376C2211yescharacteristic, complemented
190#10622370C2211yescharacteristic, complemented
191#10622351C2211yescharacteristic, complemented
192#10622350C2211yescharacteristic, complemented
193#10622347C2211yescharacteristic, complemented
194#10622341C2211yescharacteristic, complemented
195#10622341C2211yescharacteristic, complemented
196#10622339C2211yescharacteristic, complemented
197#10622339C2211yescharacteristic, complemented
198#10622334C2211yescharacteristic, complemented
199#10622310C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201C4×#4313C2211yescharacteristic, complemented
202C8×D44C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×D4×C11C2311yescharacteristic
205C22×C22⋊D11—21no—
206C22×C22⋊D11—21no—
207C23×Dic11—21no—
208#41×D11—24no—
209#41×D11—42no—
210C2×#4343C2311yescharacteristic
211C2×Q8×D11C2311yescharacteristic
212C2×#4341—24no—
213C2×#4341—21no—
214C2×#4341—21no—
215C2×#4341—21no—
216C2×#4341—42no—
217C2×#4341C2311yescharacteristic
218C2×#4341C2311yescharacteristic
219C2×#4341C2311yescharacteristic
220C2×#4341C2311yescharacteristic
221C2×D4×D11—21no—
222C2×D4×D11—21no—
223C2×D4×D11—21no—
224C2×D4×D11D411yescharacteristic
225C2×D4×D11C2311yescharacteristic
226C2×D4×D11C2311yescharacteristic
227C2×#4339—21no—
228C2×#4339C2311yescharacteristic
229C22×C4×D11—21no—
230C22×C4×D11—21no—
231C22×C4×D11—21no—
232C22×C4×D11C2311yescharacteristic
233C22×C4×D11C2311yescharacteristic
234C22×Dic22C2311yescharacteristic
235C2×C11×SD16C2311yescharacteristic
236C2×C11×D8C2311yescharacteristic
237C2×C11×D8C2311yescharacteristic
238C2×C11×M16C2311yescharacteristic
239C2×C11×M16C2311yescharacteristic
240C11×#126—21no—
241C11×#125C2311yescharacteristic
242C11×#124C2311yescharacteristic
243C11×#123—21no—
244C11×#123—21no—
245C11×C22⋊Q8C2311yescharacteristic
246C11×#121—21no—
247C11×#121—21no—
248C11×#121C2311yescharacteristic
249C11×#121C2311yescharacteristic
250C11×#121C2311yescharacteristic
251C11×#120—21no—
252C4×D4×C11—21no—
253C4×D4×C11C2311yescharacteristic
254C4×D4×C11C2311yescharacteristic
255C4×D4×C11C2311yescharacteristic
256C11×#117C2311yescharacteristic
257C2×C11×C4⋊C4C2311yescharacteristic
258C2×C11×C22⋊C4—21no—
259#67006—21no—
260#66999C2311yescharacteristic
261#66997C2311yescharacteristic
262C2×#4325C2311yescharacteristic
263#66993—21no—
264#66993C2311yescharacteristic
265#66992—21no—
266#66992—21no—
267#66992—21no—
268#66992—21no—
269#66992—21no—
270#66992—21no—
271#66992—21no—
272#66992—21no—
273#66991—21no—
274#66991C2311yescharacteristic
275#66991C2311yescharacteristic
276#66991C2311yescharacteristic
277#66990—21no—
278#66990—21no—
279#66988—21no—
280#66988—21no—
281D4×Dic11—21no—
282D4×Dic11—21no—
283D4×Dic11D411yescharacteristic
284D4×Dic11C2311yescharacteristic
285D4×Dic11C2311yescharacteristic
286C2×#4324C2311yescharacteristic
287C2×#4324C2311yescharacteristic
288C2×#4323C2311yescharacteristic
289C2×#4323C2311yescharacteristic
290C2×#4323C2311yescharacteristic
291#66983—21no—
292#66983—21no—
293#66983C2311yescharacteristic
294#66983C2311yescharacteristic
295#66983C2311yescharacteristic
296#66982—21no—
297#66982—21no—
298C4×C22⋊D11—21no—
299C4×C22⋊D11—21no—
300C4×C22⋊D11—21no—
301C4×C22⋊D11—21no—
302C4×C22⋊D11C2311yescharacteristic
303C4×C22⋊D11C2311yescharacteristic
304C2×(C2×D11)⋊C4—21no—
305#66979C2311yescharacteristic
306C2×C4⋊Dic11C2311yescharacteristic
307#66977C2311yescharacteristic
308C2×Dic11⋊C4—21no—
309C2×Dic11⋊C4—21no—
310C2×C4×Dic11—21no—
311C2×#4318C2311yescharacteristic
312C2×#4318C2311yescharacteristic
313#66967—42no—
314#66964—24no—
315#66964—42no—
316M16×D11—42no—
317M16×D11—42no—
318C2×D88C2311yescharacteristic
319C2×#4314C2311yescharacteristic
320C2×#4314C2311yescharacteristic
321C2×#4313C2311yescharacteristic
322C2×#4313C2311yescharacteristic
323C2×#4313C2311yescharacteristic
324C2×#4313C2311yescharacteristic
325C2×C8×D11C2311yescharacteristic
326C2×C8×D11C2311yescharacteristic
327C2×C8×D11C2311yescharacteristic
328C2×C8×D11C2311yescharacteristic
329#66951—21no—
330#66951—21no—
331#66951—21no—
332#66950C2311yescharacteristic
333#66949—21no—
334#66949—21no—
335#66948—21no—
336#66948C2311yescharacteristic
337#66948C2311yescharacteristic
338#66948C2311yescharacteristic
339#66947—21no—
340#66947—21no—
341#66947—21no—
342#66946—21no—
343#66946—21no—
344#66946D411yescharacteristic
345#66946C2311yescharacteristic
346#66945C2311yescharacteristic
347#66945C2311yescharacteristic
348#66945C2311yescharacteristic
349C4⋊C4×D11—21no—
350C4⋊C4×D11—21no—
351C4⋊C4×D11—21no—
352C4⋊C4×D11—21no—
353C4⋊C4×D11D411yescharacteristic
354C4⋊C4×D11C2311yescharacteristic
355C4⋊C4×D11C2311yescharacteristic
356C4⋊C4×D11C2311yescharacteristic
357C4⋊C4×D11C2311yescharacteristic
358C4⋊C4×D11C2311yescharacteristic
359#66943C2311yescharacteristic
360#66943C2311yescharacteristic
361#66942—21no—
362#66942—21no—
363#66941—21no—
364#66940C2311yescharacteristic
365#66939—21no—
366#66939—21no—
367#66938—21no—
368#66938—21no—
369#66937—21no—
370#66937—21no—
371#66937—21no—
372#66937—21no—
373#66937—21no—
374#66937—21no—
375#66937—21no—
376#66937—21no—
377#66936—21no—
378#66936—21no—
379#66936—21no—
380#66935—21no—
381#66935—21no—
382(C22⋊D11)⋊C4—21no—
383(C22⋊D11)⋊C4—21no—
384(C22⋊D11)⋊C4—21no—
385(C22⋊D11)⋊C4—21no—
386(C22⋊D11)⋊C4—21no—
387(C22⋊D11)⋊C4—21no—
388(C22⋊D11)⋊C4—21no—
389(C22⋊D11)⋊C4—21no—
390(C22⋊D11)⋊C4—21no—
391(C22⋊D11)⋊C4—21no—
392(C22⋊D11)⋊C4—21no—
393(C22⋊D11)⋊C4—21no—
394(C22⋊D11)⋊C4D411yescharacteristic
395(C22⋊D11)⋊C4D411yescharacteristic
396C22⋊C4×D11—21no—
397C22⋊C4×D11—21no—
398C22⋊C4×D11—21no—
399C22⋊C4×D11—21no—
400C22⋊C4×D11D411yescharacteristic
401C22⋊C4×D11D411yescharacteristic
402#66932—21no—
403#66932—21no—
404#66932—21no—
405#66931—21no—
406#66931—21no—
407#66930—21no—
408#66930—21no—
409#66929—21no—
410#66928C2311yescharacteristic
411C4×D44—21no—
412C4×D44C2311yescharacteristic
413C4×D44C2311yescharacteristic
414#66925—21no—
415C42×D11—21no—
416C42×D11C2311yescharacteristic
417#66923C2311yescharacteristic
418C4×Dic22C2311yescharacteristic
419C11×#107C2311yescharacteristic
420C11×#107C2311yescharacteristic
421C11×#106C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×#103C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×#103C2311yescharacteristic
426C11×#102C2311yescharacteristic
427C11×#102C2311yescharacteristic
428C11×#102C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×C22⋊C8C2311yescharacteristic
434C11×C22⋊C8C2311yescharacteristic
435C4×C8×C11C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66899C2311yescharacteristic
439#66896C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446C22⋊(C11⋊C8)C2311yescharacteristic
447C22⋊(C11⋊C8)C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451#66885C2311yescharacteristic
452(C2×D11)⋊C8C2311yescharacteristic
453(C2×D11)⋊C8C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456#66882C2311yescharacteristic
457#66881C2311yescharacteristic
458#66881C2311yescharacteristic
459#66880C2311yescharacteristic
460#66880C2311yescharacteristic
461#66880C2311yescharacteristic
462#66880C2311yescharacteristic
463#66880C2311yescharacteristic
464#66880C2311yescharacteristic
465#66879C2311yescharacteristic
466#66879C2311yescharacteristic
467Dic11⋊C8C2311yescharacteristic
468Dic11⋊C8C2311yescharacteristic
469#66874C2311yescharacteristic
470#66874C2311yescharacteristic
471#66874C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66874C2311yescharacteristic
475#66873C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66872C2311yescharacteristic
480#66872C2311yescharacteristic
481#66872C2311yescharacteristic
482#66871C2311yescharacteristic
483#66871C2311yescharacteristic
484#66871C2311yescharacteristic
485C4⋊(C11⋊C8)C2311yescharacteristic
486C4×C11⋊C8C2311yescharacteristic
487#61164—111nomaximal, Sylow
488C24×C11—21no—
489C23×D11—21no—
490C23×D11—21no—
491C23×D11C2×D411yescharacteristic
492C23×D11C2×D411yescharacteristic
493C11×#41—22no—
494C11×#41—41no—
495C2×Q8×C11C2411yescharacteristic
496C2×D4×C11—22no—
497C2×D4×C11—21no—
498C2×D4×C11—21no—
499C2×D4×C11—21no—
500C2×D4×C11—21no—
501C2×D4×C11—21no—
502C2×D4×C11—41no—
503C2×D4×C11C2×D411yescharacteristic
504C2×D4×C11C2411yescharacteristic
505C2×D4×C11C2411yescharacteristic
506C2×D4×C11C2411yescharacteristic
507C22×C4×C11—21no—
508C22×C4×C11—21no—
509C22×C4×C11—21no—
510C22×C4×C11—21no—
511C22×C4×C11C2411yescharacteristic
512C22×C4×C11C2411yescharacteristic
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—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11—21no—
527C2×C22⋊D11—21no—
528C2×C22⋊D11—44no—
529C2×C22⋊D11—44no—
530C2×C22⋊D11C2×D411yescharacteristic
531C2×C22⋊D11C2×D411yescharacteristic
532C22×Dic11—21no—
533C22×Dic11—21no—
534C22×Dic11—21no—
535C22×Dic11—21no—
536C22×Dic11—21no—
537C22×Dic11—21no—
538C22×Dic11—21no—
539C22×Dic11—21no—
540C22×Dic11—44no—
541C22×Dic11C2×D411yescharacteristic
542C22×Dic11C2×D411yescharacteristic
543#4343—22no—
544#4343—22no—
545Q8×D11—22no—
546Q8×D11—41no—
547#4341—22no—
548#4341—22no—
549#4341—22no—
550#4341—22no—
551#4341—22no—
552#4341—41no—
553#4341—41no—
554#4341—44no—
555#4341—44no—
556#4341—44no—
557#4341#4114yes—
558D4×D11—22no—
559D4×D11—22no—
560D4×D11—22no—
561D4×D11—41no—
562D4×D11—42no—
563D4×D11—44no—
564D4×D11—44no—
565D4×D11—82no—
566#4339—22no—
567#4339—41no—
568#4339—44no—
569C2×D44—21no—
570C2×D44—21no—
571C2×D44—21no—
572C2×D44—21no—
573C2×D44C2×D411yescharacteristic
574C2×D44C2411yescharacteristic
575C2×D44C2411yescharacteristic
576C2×C4×D11—22no—
577C2×C4×D11—22no—
578C2×C4×D11—22no—
579C2×C4×D11—22no—
580C2×C4×D11—21no—
581C2×C4×D11—21no—
582C2×C4×D11—21no—
583C2×C4×D11—21no—
584C2×C4×D11—21no—
585C2×C4×D11—21no—
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—21no—
589C2×C4×D11—21no—
590C2×C4×D11—44no—
591C2×C4×D11—82no—
592C2×C4×D11—82no—
593C2×C4×D11C2×D411yescharacteristic
594C2×C4×D11C2×D411yescharacteristic
595C2×C4×D11C2×D411yescharacteristic
596C2×C4×D11C2×D411yescharacteristic
597C2×C4×D11C2×D411yescharacteristic
598C2×C4×D11C2×D411yescharacteristic
599C2×C4×D11C2411yescharacteristic
600C2×C4×D11C2411yescharacteristic
601C2×C4×D11C2411yescharacteristic
602C2×Dic22—22no—
603C2×Dic22—21no—
604C2×Dic22—21no—
605C2×Dic22—41no—
606C2×Dic22C2411yescharacteristic
607C2×Dic22C2411yescharacteristic
608C11×SD16—41no—
609C11×D8—22no—
610C11×D8—41no—
611C11×M16—41no—
612C11×M16—41no—
613C2×C8×C11C2411yescharacteristic
614C2×C8×C11C2411yescharacteristic
615C2×C8×C11C2411yescharacteristic
616C2×C8×C11C2411yescharacteristic
617C11×C4⋊C4—21no—
618C11×C4⋊C4—21no—
619C11×C4⋊C4—21no—
620C11×C4⋊C4—21no—
621C11×C4⋊C4C2×D411yescharacteristic
622C11×C4⋊C4C2411yescharacteristic
623C11×C4⋊C4C2411yescharacteristic
624C11×C4⋊C4C2411yescharacteristic
625C11×C4⋊C4C2411yescharacteristic
626C11×C22⋊C4—21no—
627C11×C22⋊C4—21no—
628C11×C22⋊C4—21no—
629C11×C22⋊C4—21no—
630C11×C22⋊C4—21no—
631C11×C22⋊C4—21no—
632C11×C22⋊C4—21no—
633C11×C22⋊C4—21no—
634C11×C22⋊C4—21no—
635C11×C22⋊C4C2×D411yescharacteristic
636C11×C22⋊C4C2×D411yescharacteristic
637C42×C11—21no—
638C42×C11C2411yescharacteristic
639C22⋊Dic11—21no—
640C22⋊Dic11—21no—
641C22⋊Dic11—21no—
642C22⋊Dic11—21no—
643C22⋊Dic11—21no—
644C22⋊Dic11—21no—
645C22⋊Dic11—21no—
646C22⋊Dic11C2×D411yescharacteristic
647C22⋊Dic11C2×D411yescharacteristic
648#4325—41no—
649#4324—22no—
650#4324—41no—
651#4323—22no—
652#4323—41no—
653#4323—41no—
654(C2×D11)⋊C4—21no—
655(C2×D11)⋊C4—21no—
656(C2×D11)⋊C4—21no—
657(C2×D11)⋊C4—21no—
658(C2×D11)⋊C4—21no—
659(C2×D11)⋊C4—21no—
660(C2×D11)⋊C4—21no—
661(C2×D11)⋊C4—21no—
662(C2×D11)⋊C4—21no—
663(C2×D11)⋊C4—21no—
664(C2×D11)⋊C4—21no—
665(C2×D11)⋊C4—21no—
666(C2×D11)⋊C4—21no—
667(C2×D11)⋊C4—21no—
668(C2×D11)⋊C4—21no—
669(C2×D11)⋊C4C2×D411yescharacteristic
670(C2×D11)⋊C4C2×D411yescharacteristic
671(C2×D11)⋊C4C2×D411yescharacteristic
672(C2×D11)⋊C4C2×D411yescharacteristic
673C4⋊Dic11—21no—
674C4⋊Dic11—21no—
675C4⋊Dic11—21no—
676C4⋊Dic11—21no—
677C4⋊Dic11C2×D411yescharacteristic
678C4⋊Dic11C2411yescharacteristic
679C4⋊Dic11C2411yescharacteristic
680C4⋊Dic11C2411yescharacteristic
681C4⋊Dic11C2411yescharacteristic
682Dic11⋊C4—21no—
683Dic11⋊C4—21no—
684Dic11⋊C4—21no—
685Dic11⋊C4—21no—
686Dic11⋊C4—21no—
687Dic11⋊C4—21no—
688Dic11⋊C4—21no—
689Dic11⋊C4—21no—
690Dic11⋊C4—21no—
691Dic11⋊C4—21no—
692Dic11⋊C4—21no—
693Dic11⋊C4—21no—
694Dic11⋊C4—21no—
695Dic11⋊C4—21no—
696Dic11⋊C4—21no—
697Dic11⋊C4C2×D411yescharacteristic
698Dic11⋊C4C2×D411yescharacteristic
699C4×Dic11—21no—
700C4×Dic11—21no—
701C4×Dic11—21no—
702C4×Dic11—21no—
703C4×Dic11—21no—
704C4×Dic11—21no—
705C4×Dic11C2×D411yescharacteristic
706C4×Dic11C2×D411yescharacteristic
707C4×Dic11C2411yescharacteristic
708#4318—41no—
709#4318—41no—
710C2×C11⋊C8C2411yescharacteristic
711C2×C11⋊C8C2411yescharacteristic
712C2×C11⋊C8C2411yescharacteristic
713C2×C11⋊C8C2411yescharacteristic
714D88—41no—
715#4314—22no—
716#4314—41no—
717#4313—22no—
718#4313—22no—
719#4313—22no—
720#4313—22no—
721C8×D11—41no—
722C8×D11—41no—
723C8×D11—41no—
724C8×D11—41no—
725C2×#553—111no—
726D4×#41—111no—
727#3326—111no—
728#3326—111no—
729#3322—111no—
730#3322D1111yescharacteristic, complemented
731#3320—111no—
732#3320—111no—
733#3318—111no—
734#3318—111no—
735#3309—111no—
736#3309—111no—
737#3307—111no—
738#3307—111no—
739#3301—111no—
740#3301—111no—
741#3297—111no—
742#3297—111no—
743#3142—111no—
744#3093—111no—
745#3092—111no—
746#3080—111no—
747#3055—111no—
748#3055—111no—
749#3036—111no—
750#3006—111no—
751#3006—111no—
752C4×AGL(1,ℤ/8)—111no—
753D4×M16—111no—
754#2896—111no—
755C2×#417—111no—
756C23×C11—21no—
757C23×C11—21no—
758C23×C11—21no—
759C23×C11—42no—
760C23×C11—42no—
761C23×C11—81no—
762C23×C11C22×D411yescharacteristic
763C23×C11C22×D411yescharacteristic
764C22×D11—22no—
765C22×D11—22no—
766C22×D11—22no—
767C22×D11—21no—
768C22×D11—21no—
769C22×D11—41no—
770C22×D11—41no—
771C22×D11—41no—
772C22×D11—42no—
773C22×D11—42no—
774C22×D11—42no—
775C22×D11—42no—
776C22×D11—42no—
777C22×D11—81no—
778C22×D11C22×D411yescharacteristic
779C22×D11C22×D411yescharacteristic
780C22×D11C22×D411yescharacteristic
781Q8×C11—21no—
782Q8×C11—21no—
783D4×C11—21no—
784D4×C11—21no—
785D4×C11—21no—
786D4×C11—21no—
787D4×C11—21no—
788D4×C11—41no—
789D4×C11—42no—
790D4×C11—42no—
791D4×C11—42no—
792D4×C11—81no—
793D4×C11—81no—
794D4×C11C2×#4112yes—
795C2×C4×C11—21no—
796C2×C4×C11—21no—
797C2×C4×C11—21no—
798C2×C4×C11—21no—
799C2×C4×C11—21no—
800C2×C4×C11—21no—
801C2×C4×C11—21no—
802C2×C4×C11—21no—
803C2×C4×C11—21no—
804C2×C4×C11—42no—
805C2×C4×C11—81no—
806C2×C4×C11—81no—
807C2×C4×C11—81no—
808C2×C4×C11C22×D411yescharacteristic
809C2×C4×C11C22×D411yescharacteristic
810C2×C4×C11C22×D411yescharacteristic
811C2×C4×C11C22×D411yescharacteristic
812C2×C4×C11C2511yescharacteristic
813C22⋊D11—24no—
814C22⋊D11—22no—
815C22⋊D11—41no—
816C22⋊D11—42no—
817C22⋊D11—42no—
818C22⋊D11—42no—
819C22⋊D11—42no—
820C22⋊D11—42no—
821C22⋊D11—42no—
822C22⋊D11—42no—
823C22⋊D11—42no—
824C22⋊D11—42no—
825C22⋊D11—42no—
826C22⋊D11—42no—
827C22⋊D11—81no—
828C22⋊D11—81no—
829C22⋊D11—81no—
830C2×Dic11—21no—
831C2×Dic11—22no—
832C2×Dic11—22no—
833C2×Dic11—24no—
834C2×Dic11—21no—
835C2×Dic11—21no—
836C2×Dic11—21no—
837C2×Dic11—21no—
838C2×Dic11—21no—
839C2×Dic11—42no—
840C2×Dic11—42no—
841C2×Dic11—42no—
842C2×Dic11—42no—
843C2×Dic11—42no—
844C2×Dic11—81no—
845C2×Dic11—81no—
846C2×Dic11C22×D411yescharacteristic
847C2×Dic11C22×D411yescharacteristic
848C2×Dic11C22×D411yescharacteristic
849C2×Dic11C22×D411yescharacteristic
850C2×Dic11C22×D411yescharacteristic
851D44—22no—
852D44—21no—
853D44—21no—
854D44—21no—
855D44—21no—
856D44—42no—
857D44—42no—
858D44—81no—
859D44—81no—
860C4×D11—22no—
861C4×D11—22no—
862C4×D11—21no—
863C4×D11—21no—
864C4×D11—21no—
865C4×D11—21no—
866C4×D11—22no—
867C4×D11—22no—
868C4×D11—41no—
869C4×D11—41no—
870C4×D11—42no—
871C4×D11—42no—
872C4×D11—42no—
873C4×D11—42no—
874C4×D11—42no—
875C4×D11—42no—
876C4×D11—81no—
877C4×D11—81no—
878C4×D11—81no—
879C4×D11—81no—
880C4×D11C2×#4112yes—
881C4×D11H(5,𝔽2)12yes—
882Dic22—21no—
883Dic22—21no—
884Dic22—21no—
885Dic22—42no—
886Dic22—42no—
887Dic22C2×#4112yes—
888C8×C11—21no—
889C8×C11—21no—
890C8×C11—21no—
891C8×C11—21no—
892C11⋊C8—21no—
893C11⋊C8—21no—
894C11⋊C8—21no—
895C11⋊C8—21no—
896C22×#41—111no—
897C22×#41—111no—
898C2×AGL(1,ℤ/8)—111no—
899C2×AGL(1,ℤ/8)—111no—
900C2×AGL(1,ℤ/8)—111no—
901C22×M16—111no—
902C22×M16—111no—
903#553—111no—
904#553—111no—
905#553—111no—
906#553—111no—
907#553—111no—
908#553—111no—
909#553—111no—
910#553—221no—
911#553—221no—
912#553—221no—
913#553—221no—
914#553C2×D1111yescharacteristic, complemented
915#550—111no—
916D4×Q8—111no—
917#548—111no—
918#548—111no—
919#547—111no—
920#547—221no—
921#546—111no—
922#546—221no—
923#546—221no—
924#546C2×D1111yescharacteristic, complemented
925D42—111no—
926D42—221no—
927#532—111no—
928#532—221no—
929C2×#126—221no—
930C2×#125—111no—
931#525—111no—
932#525—111no—
933#525—221no—
934#525—221no—
935C2×#123—221no—
936C2×#121—111no—
937C2×#121—111no—
938C2×#121—221no—
939C4×#41—111no—
940C2×C4×D4—111no—
941C2×C4×D4—111no—
942C2×C4×D4—221no—
943C2×C4×D4—221no—
944C2×#117—111no—
945C22×C4⋊C4—111no—
946#491—111no—
947#491—111no—
948#490—111no—
949#490—111no—
950#488—111no—
951#488—111no—
952#488—111no—
953#488C2×D1111yescharacteristic, complemented
954#485—111no—
955#485—111no—
956#485—111no—
957#485C2×D1111yescharacteristic, complemented
958#484—111no—
959#484—111no—
960#483—111no—
961#483—111no—
962#482—111no—
963#482—111no—
964#482—111no—
965#482—111no—
966#481—111no—
967#481—111no—
968#480—111no—
969#480C2×D1111yescharacteristic, complemented
970#479—111no—
971#479—111no—
972#479—111no—
973#479—111no—
974#478—111no—
975#478—111no—
976#478—111no—
977#478C2×D1111yescharacteristic, complemented
978#469—111no—
979#469—111no—
980#469—111no—
981#469C2×D1111yescharacteristic, complemented
982#468—111no—
983#468—111no—
984#468—111no—
985#468C2×D1111yescharacteristic, complemented
986#466—111no—
987#466—111no—
988#466—111no—
989#466—111no—
990#465—111no—
991#465—111no—
992#465—111no—
993#465—111no—
994#463—111no—
995#463—111no—
996#463—111no—
997#463C2×D1111yescharacteristic, complemented
998#461—111no—
999#461—111no—
1000#459—111no—
1001#459—111no—
1002#449—111no—
1003#449—111no—
1004#449—111no—
1005#449—111no—
1006#449—111no—
1007#449—111no—
1008#449—111no—
1009#449C2×D1111yescharacteristic, complemented
1010#448—111no—
1011#448—111no—
1012#448—111no—
1013#448—111no—
1014#447—111no—
1015#447—111no—
1016#447—111no—
1017#447C2×D1111yescharacteristic, complemented
1018#442—111no—
1019#442—111no—
1020#440—111no—
1021#440—111no—
1022C4×SD16—111no—
1023C4×SD16—111no—
1024C4×D8—111no—
1025C4×D8C2×D1111yescharacteristic, complemented
1026#436—111no—
1027#436C2×D1111yescharacteristic, complemented
1028#435—111no—
1029#435—111no—
1030#435—111no—
1031#435—111no—
1032C8×D4—111no—
1033C8×D4—111no—
1034#428—111no—
1035#428—111no—
1036#428—111no—
1037#423—111no—
1038#419—111no—
1039#419—111no—
1040#418—111no—
1041#418—111no—
1042#418C2×D1111yescharacteristic, complemented
1043#417—111no—
1044#417—111no—
1045#417—111no—
1046#417—111no—
1047#417—111no—
1048#417—111no—
1049#417—111no—
1050#417—111no—
1051#417—111no—
1052#417—111no—
1053#417—111no—
1054#417—111no—
1055#417C2×D1111yescharacteristic, complemented
1056#416—111no—
1057#416—111no—
1058#416—111no—
1059#416—111no—
1060C2×#103—111no—
1061C2×#103—111no—
1062C2×#102—111no—
1063C2×#102—111no—
1064#407—111no—
1065#407—111no—
1066C4×M16—111no—
1067C22×C11—21no—
1068C22×C11—21no—
1069C22×C11—21no—
1070C22×C11—21no—
1071C22×C11—22no—
1072C22×C11—21no—
1073C22×C11—21no—
1074C22×C11—41no—
1075C22×C11—41no—
1076C22×C11—41no—
1077C22×C11—41no—
1078C22×C11—41no—
1079C22×C11—41no—
1080C22×C11—41no—
1081C22×C11—41no—
1082C22×C11—84no—
1083C22×C11C23×D411yescharacteristic
1084C2×D11—21no—
1085C2×D11—21no—
1086C2×D11—21no—
1087C2×D11—21no—
1088C2×D11—21no—
1089C2×D11—21no—
1090C2×D11—21no—
1091C2×D11—44no—
1092C2×D11—41no—
1093C2×D11—41no—
1094C2×D11—41no—
1095C2×D11—41no—
1096C2×D11—41no—
1097C2×D11—41no—
1098C2×D11—82no—
1099C2×D11—84no—
1100C2×D11—84no—
1101C2×D11#54612yes—
1102C2×D11#57512yes—
1103C4×C11—21no—
1104C4×C11—21no—
1105C4×C11—21no—
1106C4×C11—21no—
1107C4×C11—41no—
1108C4×C11—41no—
1109C4×C11—41no—
1110C4×C11—41no—
1111C4×C11—41no—
1112C4×C11C22×#4111yescharacteristic
1113C4×C11C2×H(5,𝔽2)11yescharacteristic
1114Dic11—21no—
1115Dic11—22no—
1116Dic11—21no—
1117Dic11—21no—
1118Dic11—21no—
1119Dic11—41no—
1120Dic11—41no—
1121Dic11—41no—
1122Dic11—41no—
1123Dic11—41no—
1124Dic11#54612yes—
1125C2×#41—111no—
1126C2×#41—111no—
1127C2×#41—111no—
1128C2×#41—111no—
1129C2×#41—111no—
1130C2×#41—111no—
1131C2×#41—221no—
1132C2×#41—221no—
1133C2×#41—221no—
1134C2×#41—221no—
1135C2×#41—224no—
1136C2×#41—224no—
1137C2×#41—442no—
1138C2×#41—442no—
1139C2×#41C22×D1111yescharacteristic
1140C22×Q8—111no—
1141C22×Q8—111no—
1142C22×D4—111no—
1143C22×D4—111no—
1144C22×D4—111no—
1145C22×D4—221no—
1146C22×D4—221no—
1147C22×D4—221no—
1148C22×D4—221no—
1149C22×D4—221no—
1150C22×D4C22×D1111yescharacteristic
1151C23×C4—111no—
1152C23×C4—111no—
1153C23×C4—221no—
1154C23×C4—221no—
1155C23×C4—221no—
1156C23×C4—221no—
1157AGL(1,ℤ/8)—224no—
1158AGL(1,ℤ/8)—442no—
1159AGL(1,ℤ/8)—442no—
1160C2×SD16—111no—
1161C2×SD16—111no—
1162C2×SD16—111no—
1163C2×SD16—111no—
1164C2×SD16—111no—
1165C2×SD16C22×D1111yescharacteristic
1166C2×D8—111no—
1167C2×D8—111no—
1168C2×D8—111no—
1169C2×D8—111no—
1170C2×D8C22×D1111yescharacteristic
1171C2×D8C22×D1111yescharacteristic
1172C2×M16—111no—
1173C2×M16—111no—
1174C2×M16—111no—
1175C2×M16—111no—
1176C2×M16—111no—
1177C2×M16—111no—
1178C2×M16—442no—
1179C2×M16—442no—
1180C2×M16C22×D1111yescharacteristic
1181C2×M16C22×D1111yescharacteristic
1182C22×C8—111no—
1183C22×C8—111no—
1184C22×C8—111no—
1185C22×C8—111no—
1186C4⋊Q8—111no—
1187C4⋊Q8—221no—
1188#127—111no—
1189#127—221no—
1190#126—21no—
1191#126—221no—
1192#126—221no—
1193#126—221no—
1194#126—221no—
1195#126—221no—
1196#126—221no—
1197#126—221no—
1198#125—111no—
1199#125—111no—
1200#125—111no—
1201#125—221no—
1202#125—221no—
1203#125C22×D1111yescharacteristic
1204#124—111no—
1205#124—221no—
1206#124—221no—
1207#124C22×D1111yescharacteristic
1208#123—21no—
1209#123—21no—
1210#123—221no—
1211#123—221no—
1212#123—221no—
1213#123—221no—
1214#123—221no—
1215#123—221no—
1216#123—221no—
1217#123—221no—
1218#123—221no—
1219#123—221no—
1220#123—221no—
1221#123—221no—
1222C22⋊Q8—111no—
1223C22⋊Q8—111no—
1224C22⋊Q8—111no—
1225C22⋊Q8—221no—
1226C22⋊Q8—221no—
1227C22⋊Q8—221no—
1228C22⋊Q8—221no—
1229C22⋊Q8C22×D1111yescharacteristic
1230#121—21no—
1231#121—21no—
1232#121—111no—
1233#121—111no—
1234#121—111no—
1235#121—111no—
1236#121—111no—
1237#121—111no—
1238#121—111no—
1239#121—111no—
1240#121—111no—
1241#121—221no—
1242#121—221no—
1243#121—221no—
1244#121—221no—
1245#121—221no—
1246#121—221no—
1247#121—221no—
1248#121—221no—
1249#121—221no—
1250#121—221no—
1251#121—221no—
1252#121—221no—
1253#121—221no—
1254#121—221no—
1255#121—221no—
1256#121—221no—
1257#121—221no—
1258#121—221no—
1259#121—221no—
1260#121—221no—
1261#121C22×D1111yescharacteristic
1262#121C22×D1111yescharacteristic
1263#121C22×D1111yescharacteristic
1264#120—21no—
1265#120—221no—
1266#120—221no—
1267#120—221no—
1268#120—221no—
1269#120—221no—
1270C4×Q8—111no—
1271C4×Q8—111no—
1272C4×D4—21no—
1273C4×D4—111no—
1274C4×D4—111no—
1275C4×D4—111no—
1276C4×D4—111no—
1277C4×D4—111no—
1278C4×D4—111no—
1279C4×D4—111no—
1280C4×D4—111no—
1281C4×D4—111no—
1282C4×D4—111no—
1283C4×D4—111no—
1284C4×D4—221no—
1285C4×D4—221no—
1286C4×D4—221no—
1287C4×D4—221no—
1288C4×D4—221no—
1289C4×D4—221no—
1290C4×D4—221no—
1291C4×D4—221no—
1292C4×D4—221no—
1293C4×D4—221no—
1294C4×D4—221no—
1295C4×D4—221no—
1296C4×D4—221no—
1297C4×D4—221no—
1298C4×D4—221no—
1299C4×D4—221no—
1300C4×D4—221no—
1301C4×D4—221no—
1302C4×D4—221no—
1303C4×D4—221no—
1304C4×D4—221no—
1305C4×D4C22×D1111yescharacteristic
1306C4×D4C22×D1111yescharacteristic
1307C4×D4C22×D1111yescharacteristic
1308#117—111no—
1309#117—111no—
1310#117—111no—
1311#117—111no—
1312#117—221no—
1313#117—221no—
1314#117—221no—
1315#117C22×D1111yescharacteristic
1316C2×C4⋊C4—111no—
1317C2×C4⋊C4—111no—
1318C2×C4⋊C4—111no—
1319C2×C4⋊C4—111no—
1320C2×C4⋊C4—111no—
1321C2×C4⋊C4—111no—
1322C2×C4⋊C4—111no—
1323C2×C4⋊C4—221no—
1324C2×C4⋊C4—221no—
1325C2×C4⋊C4—221no—
1326C2×C4⋊C4—221no—
1327C2×C4⋊C4—221no—
1328C2×C4⋊C4—221no—
1329C2×C4⋊C4C22×D1111yescharacteristic
1330C2×C22⋊C4—21no—
1331C2×C22⋊C4—111no—
1332C2×C22⋊C4—111no—
1333C2×C22⋊C4—221no—
1334C2×C22⋊C4—221no—
1335C2×C22⋊C4—221no—
1336C2×C22⋊C4—221no—
1337C2×C22⋊C4—221no—
1338C2×C42—111no—
1339C2×C42—221no—
1340C2×C42—221no—
1341#107—111no—
1342#107—111no—
1343#107—111no—
1344#107—111no—
1345#107C22×D1111yescharacteristic
1346#107C22×D1111yescharacteristic
1347#106—111no—
1348#106—111no—
1349#106—111no—
1350#106—111no—
1351#106—111no—
1352#106C22×D1111yescharacteristic
1353C4⋊C8—111no—
1354C4⋊C8—111no—
1355C4⋊C8—111no—
1356C4⋊C8C22×D1111yescharacteristic
1357#103—111no—
1358#103—111no—
1359#103—111no—
1360#103—111no—
1361#103—111no—
1362#103—111no—
1363#103—111no—
1364#103—111no—
1365#103—111no—
1366#103—111no—
1367#103—111no—
1368#103—111no—
1369#103—111no—
1370#103—111no—
1371#103—111no—
1372#103C22×D1111yescharacteristic
1373#103C22×D1111yescharacteristic
1374#103C22×D1111yescharacteristic
1375#102—111no—
1376#102—111no—
1377#102—111no—
1378#102—111no—
1379#102—111no—
1380#102—111no—
1381#102—111no—
1382#102—111no—
1383#102—111no—
1384#102—111no—
1385#102—111no—
1386#102—111no—
1387#102—111no—
1388#102—111no—
1389#102—111no—
1390#102C22×D1111yescharacteristic
1391#102C22×D1111yescharacteristic
1392#102C22×D1111yescharacteristic
1393#102C22×D1111yescharacteristic
1394#102C22×D1111yescharacteristic
1395#102C22×D1111yescharacteristic
1396#102C22×D1111yescharacteristic
1397C22⋊C8—111no—
1398C22⋊C8—111no—
1399C22⋊C8—111no—
1400C22⋊C8—111no—
1401C22⋊C8—111no—
1402C22⋊C8—111no—
1403C22⋊C8C22×D1111yescharacteristic
1404C22⋊C8C22×D1111yescharacteristic
1405#97—111no—
1406#97—111no—
1407C4×C8—111no—
1408C4×C8C22×D1111yescharacteristic
1409C2×C11—41no—
1410C2×C11—41no—
1411C2×C11—42no—
1412C2×C11—81no—
1413C2×C11—81no—
1414C2×C11C2×#54611yescharacteristic
1415C2×C11C2×#57511yescharacteristic
1416C2×C11#358511yescharacteristic
1417D11—22no—
1418D11—22no—
1419D11—41no—
1420D11—81no—
1421D11—81no—
1422C24—21no—
1423C24—111no—
1424C24—111no—
1425C24—221no—
1426C24—221no—
1427#41—22no—
1428#41—41no—
1429#41—114no—
1430#41—222no—
1431#41—222no—
1432#41—222no—
1433#41—222no—
1434#41—222no—
1435#41—222no—
1436#41—222no—
1437#41—222no—
1438#41—441no—
1439#41—444no—
1440#41—444no—
1441#41—444no—
1442#41—441no—
1443#41—441no—
1444#41—444no—
1445C2×Q8—111no—
1446C2×Q8—111no—
1447C2×Q8—221no—
1448C2×Q8—222no—
1449C2×Q8—221no—
1450C2×Q8—222no—
1451C2×Q8—441no—
1452C2×Q8—441no—
1453C2×Q8C23×D1111yescharacteristic
1454C2×D4—22no—
1455C2×D4—21no—
1456C2×D4—21no—
1457C2×D4—21no—
1458C2×D4—21no—
1459C2×D4—21no—
1460C2×D4—41no—
1461C2×D4—111no—
1462C2×D4—111no—
1463C2×D4—111no—
1464C2×D4—111no—
1465C2×D4—111no—
1466C2×D4—221no—
1467C2×D4—221no—
1468C2×D4—221no—
1469C2×D4—221no—
1470C2×D4—222no—
1471C2×D4—222no—
1472C2×D4—221no—
1473C2×D4—221no—
1474C2×D4—221no—
1475C2×D4—221no—
1476C2×D4—221no—
1477C2×D4—222no—
1478C2×D4—221no—
1479C2×D4—221no—
1480C2×D4—221no—
1481C2×D4—221no—
1482C2×D4—221no—
1483C2×D4—221no—
1484C2×D4—221no—
1485C2×D4—221no—
1486C2×D4—221no—
1487C2×D4—221no—
1488C2×D4—441no—
1489C2×D4—442no—
1490C2×D4—444no—
1491C2×D4—444no—
1492C2×D4—444no—
1493C2×D4—444no—
1494C2×D4—882no—
1495C2×D4D4×D1111yescharacteristic
1496C2×D4C23×D1111yescharacteristic
1497C2×D4C23×D1111yescharacteristic
1498C2×D4C23×D1111yescharacteristic
1499C22×C4—21no—
1500C22×C4—21no—
1501C22×C4—21no—
1502C22×C4—21no—
1503C22×C4—111no—
1504C22×C4—111no—
1505C22×C4—111no—
1506C22×C4—111no—
1507C22×C4—111no—
1508C22×C4—111no—
1509C22×C4—111no—
1510C22×C4—111no—
1511C22×C4—111no—
1512C22×C4—111no—
1513C22×C4—111no—
1514C22×C4—222no—
1515C22×C4—222no—
1516C22×C4—222no—
1517C22×C4—222no—
1518C22×C4—221no—
1519C22×C4—221no—
1520C22×C4—221no—
1521C22×C4—221no—
1522C22×C4—221no—
1523C22×C4—221no—
1524C22×C4—221no—
1525C22×C4—221no—
1526C22×C4—221no—
1527C22×C4—221no—
1528C22×C4—221no—
1529C22×C4—221no—
1530C22×C4—221no—
1531C22×C4—221no—
1532C22×C4—221no—
1533C22×C4—221no—
1534C22×C4—221no—
1535C22×C4—221no—
1536C22×C4—444no—
1537C22×C4—444no—
1538C22×C4—882no—
1539C22×C4—882no—
1540C22×C4C23×D1111yescharacteristic
1541C22×C4C23×D1111yescharacteristic
1542SD16—41no—
1543SD16—222no—
1544SD16—222no—
1545SD16—441no—
1546SD16—441no—
1547SD16—441no—
1548D8—22no—
1549D8—41no—
1550D8—222no—
1551D8—441no—
1552D8—441no—
1553D8—441no—
1554M16—41no—
1555M16—41no—
1556M16—222no—
1557M16—222no—
1558M16—222no—
1559M16—222no—
1560M16—441no—
1561M16—441no—
1562C2×C8—111no—
1563C2×C8—111no—
1564C2×C8—111no—
1565C2×C8—111no—
1566C2×C8—441no—
1567C2×C8—441no—
1568C2×C8—441no—
1569C2×C8—441no—
1570C2×C8C23×D1111yescharacteristic
1571C2×C8C23×D1111yescharacteristic
1572C2×C8C23×D1111yescharacteristic
1573C2×C8C23×D1111yescharacteristic
1574C4⋊C4—21no—
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—111no—
1579C4⋊C4—111no—
1580C4⋊C4—111no—
1581C4⋊C4—111no—
1582C4⋊C4—111no—
1583C4⋊C4—111no—
1584C4⋊C4—111no—
1585C4⋊C4—221no—
1586C4⋊C4—221no—
1587C4⋊C4—221no—
1588C4⋊C4—221no—
1589C4⋊C4—221no—
1590C4⋊C4—221no—
1591C4⋊C4—221no—
1592C4⋊C4—221no—
1593C4⋊C4—221no—
1594C4⋊C4—221no—
1595C4⋊C4—221no—
1596C4⋊C4—221no—
1597C4⋊C4—221no—
1598C4⋊C4—221no—
1599C4⋊C4—221no—
1600C4⋊C4—221no—
1601C4⋊C4—221no—
1602C4⋊C4—221no—
1603C4⋊C4—221no—
1604C4⋊C4D4×D1111yescharacteristic
1605C4⋊C4C23×D1111yescharacteristic
1606C4⋊C4C23×D1111yescharacteristic
1607C4⋊C4C23×D1111yescharacteristic
1608C4⋊C4C23×D1111yescharacteristic
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—111no—
1619C22⋊C4—111no—
1620C22⋊C4—111no—
1621C22⋊C4—111no—
1622C22⋊C4—111no—
1623C22⋊C4—111no—
1624C22⋊C4—221no—
1625C22⋊C4—221no—
1626C22⋊C4—221no—
1627C22⋊C4—221no—
1628C22⋊C4—221no—
1629C22⋊C4—221no—
1630C22⋊C4—221no—
1631C22⋊C4—221no—
1632C22⋊C4—221no—
1633C22⋊C4—221no—
1634C22⋊C4—221no—
1635C22⋊C4—221no—
1636C22⋊C4—221no—
1637C22⋊C4—221no—
1638C22⋊C4—221no—
1639C22⋊C4—221no—
1640C22⋊C4—221no—
1641C22⋊C4—221no—
1642C22⋊C4—221no—
1643C22⋊C4—221no—
1644C22⋊C4—221no—
1645C22⋊C4—221no—
1646C22⋊C4D4×D1111yescharacteristic
1647C22⋊C4D4×D1111yescharacteristic
1648C42—21no—
1649C42—111no—
1650C42—111no—
1651C42—111no—
1652C42—221no—
1653C42—221no—
1654C42—221no—
1655C42—221no—
1656C42—221no—
1657C42—221no—
1658C42C23×D1111yescharacteristic
1659C11#6116411yescharacteristic, complemented, Sylow
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—42no—
1664C23—42no—
1665C23—81no—
1666C23—111no—
1667C23—111no—
1668C23—111no—
1669C23—222no—
1670C23—222no—
1671C23—222no—
1672C23—221no—
1673C23—221no—
1674C23—441no—
1675C23—441no—
1676C23—441no—
1677C23—442no—
1678C23—442no—
1679C23—442no—
1680C23—442no—
1681C23—442no—
1682C23—881no—
1683C23C2×D4×D1111yescharacteristic
1684C23C2×D4×D1111yescharacteristic
1685Q8—21no—
1686Q8—21no—
1687Q8—112no—
1688Q8—221no—
1689Q8—221no—
1690Q8—221no—
1691Q8—442no—
1692Q8—442no—
1693D4—21no—
1694D4—21no—
1695D4—21no—
1696D4—21no—
1697D4—21no—
1698D4—41no—
1699D4—42no—
1700D4—42no—
1701D4—42no—
1702D4—81no—
1703D4—81no—
1704D4—222no—
1705D4—222no—
1706D4—224no—
1707D4—221no—
1708D4—221no—
1709D4—221no—
1710D4—221no—
1711D4—442no—
1712D4—442no—
1713D4—442no—
1714D4—441no—
1715D4—442no—
1716D4—442no—
1717D4—442no—
1718D4—442no—
1719D4—442no—
1720D4—442no—
1721D4—442no—
1722D4—442no—
1723D4—442no—
1724D4—442no—
1725D4—881no—
1726D4—881no—
1727D4—881no—
1728D4—881no—
1729D4—881no—
1730D4#41×D1112yes—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—42no—
1741C2×C4—81no—
1742C2×C4—81no—
1743C2×C4—81no—
1744C2×C4—111no—
1745C2×C4—112no—
1746C2×C4—112no—
1747C2×C4—111no—
1748C2×C4—111no—
1749C2×C4—111no—
1750C2×C4—111no—
1751C2×C4—222no—
1752C2×C4—222no—
1753C2×C4—222no—
1754C2×C4—222no—
1755C2×C4—222no—
1756C2×C4—222no—
1757C2×C4—224no—
1758C2×C4—221no—
1759C2×C4—221no—
1760C2×C4—221no—
1761C2×C4—221no—
1762C2×C4—221no—
1763C2×C4—221no—
1764C2×C4—221no—
1765C2×C4—221no—
1766C2×C4—221no—
1767C2×C4—221no—
1768C2×C4—441no—
1769C2×C4—441no—
1770C2×C4—442no—
1771C2×C4—442no—
1772C2×C4—442no—
1773C2×C4—442no—
1774C2×C4—442no—
1775C2×C4—442no—
1776C2×C4—442no—
1777C2×C4—442no—
1778C2×C4—442no—
1779C2×C4—442no—
1780C2×C4—442no—
1781C2×C4—881no—
1782C2×C4—881no—
1783C2×C4—881no—
1784C2×C4—881no—
1785C2×C4—881no—
1786C2×C4—881no—
1787C2×C4C2×D4×D1111yescharacteristic
1788C2×C4C2×D4×D1111yescharacteristic
1789C2×C4C2×D4×D1111yescharacteristic
1790C2×C4C2×D4×D1111yescharacteristic
1791C2×C4C24×D1111yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—221no—
1797C8—221no—
1798C8—221no—
1799C8—221no—
1800C22—21no—
1801C22—21no—
1802C22—22no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—84no—
1816C22—112no—
1817C22—112no—
1818C22—221no—
1819C22—221no—
1820C22—221no—
1821C22—221no—
1822C22—221no—
1823C22—221no—
1824C22—221no—
1825C22—444no—
1826C22—441no—
1827C22—441no—
1828C22—441no—
1829C22—441no—
1830C22—441no—
1831C22—441no—
1832C22—882no—
1833C22—884no—
1834C22—884no—
1835C22C22×D4×D1111yescharacteristic
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—21no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—112no—
1846C4—221no—
1847C4—221no—
1848C4—222no—
1849C4—221no—
1850C4—221no—
1851C4—441no—
1852C4—441no—
1853C4—441no—
1854C4—441no—
1855C4—441no—
1856C4C2×#41×D1111yescharacteristic
1857C4D11×H(5,𝔽2)11yescharacteristic
1858C2—41no—
1859C2—41no—
1860C2—42no—
1861C2—81no—
1862C2—81no—
1863C2—222no—
1864C2—222no—
1865C2—441no—
1866C2—881no—
1867C2—881no—
1868C2D11×#54611yescharacteristic
1869C2D11×#57511yescharacteristic
1870C2#1308339111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3322C2
socleC22×C11C23×D4
hypercenter#3322D11
hypocenterC11#61164
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. D11×#553C2semidirect
2. #13082100C2semidirect
3. #13080871C2semidirect
4. #13080863C2semidirect
5. #13080817C2semidirect
6. #13080790C2semidirect
7. #13080782C2semidirect
8. #13080758C2semidirect
9. #13080750C2semidirect
10. #13080625C2semidirect
11. #13080617C2semidirect
12. #13080593C2semidirect
13. #13080585C2semidirect
14. #13080525C2semidirect
15. #13080517C2semidirect
16. #13080471C2semidirect
17. #13080463C2semidirect
18. #13079013C2semidirect
19. #13078548C2semidirect
20. #13078535C2semidirect
21. #13078433C2semidirect
22. #13078234C2semidirect
23. #13078230C2semidirect
24. #13078078C2semidirect
25. #13077865C2semidirect
26. #13077863C2semidirect
27. C4×#66964C2semidirect
28. #13077352C2semidirect
29. #13077130C2semidirect
30. D11×#417C2semidirect
31. C11×#3322C2semidirect
34. C11×#553C22semidirect
35. C11×#546C22semidirect
36. #10623355C22semidirect
37. D4×C22⋊D11C22semidirect
38. C2×#66967C22semidirect
40. C2×#66964C22semidirect
41. C2×M16×D11C22semidirect
42. C2×M16×D11C22semidirect
45. #10623226C22semidirect
46. D11×#125C22semidirect
47. #10623208C22semidirect
53. #10623163C22semidirect
55. #10623149C22semidirect
60. D11×#121C22semidirect
61. D11×#121C22semidirect
63. #10623130C22semidirect
67. #10623096C22semidirect
68. #10623089C22semidirect
69. #10623085C22semidirect
70. #10623083C22semidirect
73. C4×D4×D11C22semidirect
77. D11×#117C22semidirect
78. #10623045C22semidirect
79. C2×C4⋊C4×D11C22semidirect
82. C11×#488C22semidirect
83. C11×#485C22semidirect
84. C11×#480C22semidirect
85. C11×#478C22semidirect
86. C11×#469C22semidirect
87. C11×#468C22semidirect
88. C11×#463C22semidirect
89. C11×#449C22semidirect
90. C11×#447C22semidirect
91. C4×C11×D8C22semidirect
92. C11×#436C22semidirect
93. C11×#418C22semidirect
94. C11×#417C22semidirect
95. #10622851C22semidirect
96. #10622845C22semidirect
97. #10622830C22semidirect
98. #10622828C22semidirect
99. #10622784C22semidirect
100. #10622783C22semidirect
101. #10622775C22semidirect
102. #10622771C22semidirect
103. #10622771C22semidirect
104. #10622770C22semidirect
105. #10622769C22semidirect
106. #10622765C22semidirect
107. #10622763C22semidirect
108. #10622748C22semidirect
109. #10622747C22semidirect
110. #10622746C22semidirect
111. #10622740C22semidirect
112. #10622740C22semidirect
113. #10622733C22semidirect
114. #10622681C22semidirect
115. #10622676C22semidirect
116. #10622670C22semidirect
117. #10622669C22semidirect
118. #10622662C22semidirect
119. #10622658C22semidirect
120. #10622655C22semidirect
121. #10622653C22semidirect
122. #10622652C22semidirect
123. #10622652C22semidirect
124. #10622650C22semidirect
125. #10622646C22semidirect
126. C4×#4324C22semidirect
127. #10622629C22semidirect
128. C4×#4323C22semidirect
129. #10622625C22semidirect
130. #10622622C22semidirect
131. #10622617C22semidirect
132. #10622616C22semidirect
133. #10622584C22semidirect
134. #10622579C22semidirect
135. #10622502C22semidirect
136. #10622498C22semidirect
137. #10622497C22semidirect
138. #10622497C22semidirect
139. #10622496C22semidirect
140. #10622494C22semidirect
141. #10622494C22semidirect
142. #10622490C22semidirect
143. #10622479C22semidirect
144. #10622477C22semidirect
145. #10622474C22semidirect
146. #10622470C22semidirect
147. #10622457C22semidirect
148. #10622450C22semidirect
149. #10622447C22semidirect
150. #10622442C22semidirect
151. #10622431C22semidirect
152. #10622428C22semidirect
153. #10622427C22semidirect
154. #10622420C22semidirect
155. #10622419C22semidirect
156. #10622416C22semidirect
157. #10622416C22semidirect
158. #10622416C22semidirect
159. D11×#103C22semidirect
160. D11×#103C22semidirect
161. #10622410C22semidirect
162. #10622410C22semidirect
163. #10622399C22semidirect
164. #10622398C22semidirect
165. #10622394C22semidirect
166. #10622394C22semidirect
167. #10622391C22semidirect
168. #10622390C22semidirect
169. #10622390C22semidirect
170. #10622388C22semidirect
171. #10622388C22semidirect
172. #10622386C22semidirect
173. #10622385C22semidirect
174. #10622385C22semidirect
175. #10622385C22semidirect
176. #10622385C22semidirect
180. #10622384C22semidirect
181. #10622384C22semidirect
182. #10622384C22semidirect
183. #10622383C22semidirect
184. D11×#102C22semidirect
185. D11×#102C22semidirect
186. #10622379C22semidirect
187. #10622377C22semidirect
188. #10622377C22semidirect
189. #10622376C22semidirect
190. #10622370C22semidirect
191. #10622351C22semidirect
192. #10622350C22semidirect
193. #10622347C22semidirect
194. #10622341C22semidirect
195. #10622341C22semidirect
196. #10622339C22semidirect
197. #10622339C22semidirect
198. #10622334C22semidirect
199. #10622310C22semidirect
200. C4×#4314C22semidirect
201. C4×#4313C22semidirect
202. C8×D44C22semidirect
730. #3322D11semidirect
914. #553C2×D11semidirect
924. #546C2×D11semidirect
953. #488C2×D11semidirect
957. #485C2×D11semidirect
969. #480C2×D11semidirect
977. #478C2×D11semidirect
981. #469C2×D11semidirect
985. #468C2×D11semidirect
997. #463C2×D11semidirect
1009. #449C2×D11semidirect
1017. #447C2×D11semidirect
1025. C4×D8C2×D11semidirect
1027. #436C2×D11semidirect
1042. #418C2×D11semidirect
1055. #417C2×D11semidirect
1659. C11#61164semidirect

Maximal subgroups

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

subgroupindex
D11×#5532
#130821002
#130808712
#130808632
#130808172
#130807902
#130807822
#130807582
#130807502
#130806252
#130806172
#130805932
#130805852
#130805252
#130805172
#130804712
#130804632
#130790132
#130785482
#130785352
#130784332
#130782342
#130782302
#130780782
#130778652
#130778632
C4×#669642
#130773522
#130771302
D11×#4172
C11×#33222
#6116411