Finite Group Databasebeta

← #15638817

Subgroups — #15638817

Order 2816.

2118 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082445C211yesmaximal, characteristic, complemented
2D11×#548C211yesmaximal, characteristic, complemented
3#13080883C211yesmaximal, characteristic, complemented
4#13080882C211yesmaximal, characteristic, complemented
5#13080881C211yesmaximal, characteristic, complemented
6#13080880C211yesmaximal, characteristic, complemented
7#13080872C211yesmaximal, characteristic, complemented
8#13080870C211yesmaximal, characteristic, complemented
9#13080863C211yesmaximal, characteristic, complemented
10#13080274C211yesmaximal, characteristic, complemented
11#13080270C211yesmaximal, characteristic, complemented
12#13080269C211yesmaximal, characteristic, complemented
13#13080266C211yesmaximal, characteristic, complemented
14#13080254C211yesmaximal, characteristic, complemented
15#13080253C211yesmaximal, characteristic, complemented
16#13080250C211yesmaximal, characteristic, complemented
17#13080249C211yesmaximal, characteristic, complemented
18#13079582C211yesmaximal, characteristic, complemented
19#13079579C211yesmaximal, characteristic, complemented
20#13079439C211yesmaximal, characteristic, complemented
21#13079434C211yesmaximal, characteristic, complemented
22#13079425C211yesmaximal, characteristic, complemented
23#13079417C211yesmaximal, characteristic, complemented
24#13078701C211yesmaximal, characteristic, complemented
25#13078694C211yesmaximal, characteristic, complemented
26#13077877C211yesmaximal, characteristic, complemented
27#13077865C211yesmaximal, characteristic, complemented
28#13077852C211yesmaximal, characteristic, complemented
29#13077847C211yesmaximal, characteristic, complemented
30#13077654C211yesmaximal, characteristic, complemented
31C11×#3326C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C22×Q8×D11C2211yescharacteristic, complemented
34C11×#553C2211yescharacteristic, complemented
35C11×#548C2211yescharacteristic, complemented
36#10623362C2211yescharacteristic, complemented
37C2×#67004C2211yescharacteristic, complemented
38#10623348C2211yescharacteristic
39C2×#66995C2211yescharacteristic, complemented
40C2×#66968C2211yescharacteristic, complemented
41C2×#66968C2211yescharacteristic, complemented
42C2×#66967C2211yescharacteristic, complemented
43C2×#66964C2211yescharacteristic, complemented
44C2×#66962C2211yescharacteristic, complemented
45C2×#66962C2211yescharacteristic, complemented
46#10623238—21no—
47#10623236—21no—
48#10623225C2211yescharacteristic, complemented
49#10623222C2211yescharacteristic
50#10623208—21no—
51#10623208C2211yescharacteristic
52D11×#124—21no—
53D11×#124C2211yescharacteristic, complemented
54#10623189—21no—
55#10623188—21no—
56#10623164—21no—
57#10623164C2211yescharacteristic, complemented
58D11×C22⋊Q8—21no—
59D11×C22⋊Q8C2211yescharacteristic
60#10623149—21no—
61#10623143C2211yescharacteristic, complemented
62#10623137C2211yescharacteristic
63#10623136—21no—
64D11×#121—21no—
65D11×#121C2211yescharacteristic
66D11×#121C2211yescharacteristic, complemented
67#10623129—21no—
68#10623129C2211yescharacteristic
69#10623129C2211yescharacteristic, complemented
70#10623107C2211yescharacteristic
71C4×Q8×D11C2211yescharacteristic, complemented
72#10623096—21no—
73#10623088C2211yescharacteristic
74#10623085C2211yescharacteristic, complemented
75#10623083—21no—
76#10623083C2211yescharacteristic, complemented
77#10623083C2211yescharacteristic, complemented
78#10623076—21no—
79C4×D4×D11—21no—
80C4×D4×D11C2211yescharacteristic
81#10623060C2211yescharacteristic, complemented
82#10623055C2211yescharacteristic
83#10623045C2211yescharacteristic, complemented
84C2×#66950C2211yescharacteristic
85C11×#488C2211yescharacteristic, complemented
86C11×#483C2211yescharacteristic, complemented
87C11×#482C2211yescharacteristic, complemented
88C11×#479C2211yescharacteristic, complemented
89C11×#469C2211yescharacteristic, complemented
90C11×#468C2211yescharacteristic, complemented
91C11×#463C2211yescharacteristic, complemented
92C11×#449C2211yescharacteristic, complemented
93C11×#448C2211yescharacteristic, complemented
94C4×C11×SD16C2211yescharacteristic, complemented
95C11×#436C2211yescharacteristic, complemented
96C11×#419C2211yescharacteristic, complemented
97C11×#417C2211yescharacteristic, complemented
98#10622851C2211yescharacteristic, complemented
99#10622841C2211yescharacteristic, complemented
100#10622783C2211yescharacteristic
101#10622783C2211yescharacteristic
102#10622782C2211yescharacteristic, complemented
103#10622781C2211yescharacteristic, complemented
104#10622779C2211yescharacteristic, complemented
105#10622771C2211yescharacteristic, complemented
106#10622769C2211yescharacteristic
107#10622768C2211yescharacteristic, complemented
108#10622747C2211yescharacteristic, complemented
109#10622747C2211yescharacteristic, complemented
110#10622741C2211yescharacteristic, complemented
111#10622741C2211yescharacteristic, complemented
112#10622739C2211yescharacteristic
113#10622739C2211yescharacteristic, complemented
114#10622681C2211yescharacteristic, complemented
115#10622676C2211yescharacteristic, complemented
116#10622672C2211yescharacteristic, complemented
117#10622667C2211yescharacteristic, complemented
118#10622663C2211yescharacteristic, complemented
119#10622662C2211yescharacteristic, complemented
120#10622655C2211yescharacteristic, complemented
121#10622655C2211yescharacteristic, complemented
122#10622653C2211yescharacteristic, complemented
123#10622652C2211yescharacteristic, complemented
124#10622650C2211yescharacteristic, complemented
125#10622650C2211yescharacteristic, complemented
126C4×#4326C2211yescharacteristic, complemented
127#10622641C2211yescharacteristic, complemented
128C4×#4324C2211yescharacteristic, complemented
129#10622629C2211yescharacteristic, complemented
130#10622625C2211yescharacteristic, complemented
131#10622617C2211yescharacteristic, complemented
132#10622616C2211yescharacteristic, complemented
133#10622584C2211yescharacteristic, complemented
134#10622579C2211yescharacteristic, complemented
135#10622499C2211yescharacteristic, complemented
136#10622497C2211yescharacteristic, complemented
137#10622495C2211yescharacteristic
138#10622486C2211yescharacteristic, complemented
139#10622481C2211yescharacteristic, complemented
140#10622481C2211yescharacteristic, complemented
141#10622479C2211yescharacteristic, complemented
142#10622478C2211yescharacteristic, complemented
143#10622475C2211yescharacteristic, complemented
144#10622475C2211yescharacteristic, complemented
145#10622470C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622458C2211yescharacteristic, complemented
148#10622458C2211yescharacteristic, complemented
149#10622451C2211yescharacteristic, complemented
150#10622446C2211yescharacteristic, complemented
151#10622432C2211yescharacteristic, complemented
152#10622429C2211yescharacteristic, complemented
153#10622429C2211yescharacteristic, complemented
154#10622423C2211yescharacteristic, complemented
155#10622423C2211yescharacteristic, complemented
156#10622422C2211yescharacteristic, complemented
157#10622421C2211yescharacteristic, complemented
158#10622421C2211yescharacteristic, complemented
159#10622421C2211yescharacteristic, complemented
160#10622421C2211yescharacteristic, complemented
161#10622421C2211yescharacteristic, complemented
162#10622421C2211yescharacteristic, complemented
163#10622419C2211yescharacteristic
164#10622419C2211yescharacteristic
165#10622419C2211yescharacteristic, complemented
166#10622419C2211yescharacteristic, complemented
167#10622416C2211yescharacteristic, complemented
168#10622415C2211yescharacteristic, complemented
169#10622415C2211yescharacteristic, complemented
170#10622413C2211yescharacteristic, complemented
171#10622411C2211yescharacteristic, complemented
172#10622409C2211yescharacteristic, complemented
173#10622403C2211yescharacteristic, complemented
174#10622401C2211yescharacteristic, complemented
175#10622400C2211yescharacteristic, complemented
176#10622397C2211yescharacteristic, complemented
177#10622396C2211yescharacteristic, complemented
178#10622396C2211yescharacteristic, complemented
179#10622395C2211yescharacteristic, complemented
180#10622394C2211yescharacteristic, complemented
181#10622393C2211yescharacteristic, complemented
182#10622389C2211yescharacteristic, complemented
183#10622389C2211yescharacteristic, complemented
184#10622389C2211yescharacteristic, complemented
185#10622387C2211yescharacteristic
186#10622386C2211yescharacteristic
187#10622384C2211yescharacteristic, complemented
188#10622381C2211yescharacteristic, complemented
189#10622380C2211yescharacteristic, complemented
190#10622380C2211yescharacteristic, complemented
191#10622352C2211yescharacteristic, complemented
192#10622352C2211yescharacteristic, complemented
193#10622347C2211yescharacteristic, complemented
194#10622347C2211yescharacteristic, complemented
195#10622342C2211yescharacteristic, complemented
196#10622342C2211yescharacteristic, complemented
197#10622339C2211yescharacteristic
198#10622339C2211yescharacteristic, complemented
199C4×Dic44C2211yescharacteristic, complemented
200#10622309C2211yescharacteristic, complemented
201#10622301C2211yescharacteristic, complemented
202#10622298C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205#41×D11—42no—
206#41×D11—42no—
207C2×#4343C2311yescharacteristic
208C2×Q8×D11—21no—
209C2×Q8×D11—21no—
210C2×Q8×D11—42no—
211C2×Q8×D11—42no—
212C2×Q8×D11C2311yescharacteristic
213C2×Q8×D11C2311yescharacteristic
214C2×Q8×D11C2311yescharacteristic
215C2×Q8×D11C2311yescharacteristic
216C2×#4341—21no—
217C2×#4341C2311yescharacteristic
218C2×#4341C2311yescharacteristic
219C2×D4×D11—21no—
220C2×D4×D11—21no—
221C2×D4×D11—21no—
222C2×D4×D11D411yescharacteristic
223C2×D4×D11C2311yescharacteristic
224C2×D4×D11C2311yescharacteristic
225C2×#4339—21no—
226C2×#4339C2311yescharacteristic
227C2×#4339C2311yescharacteristic
228C22×C4×D11—21no—
229C22×C4×D11—21no—
230C22×C4×D11C2311yescharacteristic
231C22×C4×D11C2311yescharacteristic
232C22×Dic22—21no—
233C22×Dic22C2311yescharacteristic
234C22×Dic22C2311yescharacteristic
235C2×C11×SD16C2311yescharacteristic
236C2×C11×SD16C2311yescharacteristic
237C2×C11×D8C2311yescharacteristic
238C2×C11×M16C2311yescharacteristic
239C2×C11×M16C2311yescharacteristic
240C11×#126—21no—
241C11×#125C2311yescharacteristic
242C11×#124—21no—
243C11×#124C2311yescharacteristic
244C11×#123—21no—
245C11×C22⋊Q8—21no—
246C11×C22⋊Q8C2311yescharacteristic
247C11×#121—21no—
248C11×#121—21no—
249C11×#121C2311yescharacteristic
250C11×#121C2311yescharacteristic
251C11×#121C2311yescharacteristic
252C4×Q8×C11C2311yescharacteristic
253C4×D4×C11—21no—
254C4×D4×C11—21no—
255C4×D4×C11C2311yescharacteristic
256C4×D4×C11C2311yescharacteristic
257C11×#117C2311yescharacteristic
258C2×C11×C4⋊C4C2311yescharacteristic
259#67004—42no—
260#67000—21no—
261#67000C2311yescharacteristic
262#66999—21no—
263#66999C2311yescharacteristic
264Q8×Dic11C2311yescharacteristic
265C2×#4326C2311yescharacteristic
266C2×#4326C2311yescharacteristic
267C2×#4326C2311yescharacteristic
268C2×#4326C2311yescharacteristic
269#66995—42no—
270C2×#4325C2311yescharacteristic
271C2×#4325C2311yescharacteristic
272#66992—21no—
273#66992—21no—
274#66992—21no—
275#66992—21no—
276#66992—21no—
277#66992—21no—
278#66991—21no—
279#66991—21no—
280#66991C2311yescharacteristic
281#66991C2311yescharacteristic
282#66990—21no—
283#66990—21no—
284#66989—21no—
285#66989C2311yescharacteristic
286#66989C2311yescharacteristic
287D4×Dic11—21no—
288D4×Dic11—21no—
289D4×Dic11—21no—
290D4×Dic11D411yescharacteristic
291C2×#4324C2311yescharacteristic
292C2×#4324C2311yescharacteristic
293C2×#4324C2311yescharacteristic
294C2×#4324C2311yescharacteristic
295C2×#4323C2311yescharacteristic
296C2×#4323C2311yescharacteristic
297#66983—21no—
298#66983—21no—
299#66983—21no—
300#66983C2311yescharacteristic
301#66983C2311yescharacteristic
302C4×C22⋊D11—21no—
303C4×C22⋊D11—21no—
304C4×C22⋊D11—21no—
305C4×C22⋊D11—21no—
306C4×C22⋊D11C2311yescharacteristic
307C4×C22⋊D11C2311yescharacteristic
308C2×(C2×D11)⋊C4—21no—
309C2×(C2×D11)⋊C4—21no—
310#66979—21no—
311C2×C4⋊Dic11—21no—
312#66977—21no—
313#66977C2311yescharacteristic
314#66977C2311yescharacteristic
315C2×#4318C2311yescharacteristic
316C2×#4318C2311yescharacteristic
317#66968—42no—
318#66968—42no—
319#66967—42no—
320#66964—42no—
321#66962—42no—
322#66962—42no—
323C2×Dic44C2311yescharacteristic
324C2×Dic44C2311yescharacteristic
325C2×Dic44C2311yescharacteristic
326C2×Dic44C2311yescharacteristic
327C2×D88C2311yescharacteristic
328C2×#4314C2311yescharacteristic
329C2×#4314C2311yescharacteristic
330C2×#4314C2311yescharacteristic
331C2×#4314C2311yescharacteristic
332C2×#4313C2311yescharacteristic
333C2×#4313C2311yescharacteristic
334C2×#4313C2311yescharacteristic
335C2×#4313C2311yescharacteristic
336#66951—21no—
337#66951—21no—
338#66951—21no—
339#66950—21no—
340#66950—21no—
341#66950—21no—
342#66950C2311yescharacteristic
343#66950C2311yescharacteristic
344#66950C2311yescharacteristic
345#66950C2311yescharacteristic
346#66950C2311yescharacteristic
347#66950C2311yescharacteristic
348#66949—21no—
349#66949—21no—
350#66949—21no—
351#66949—21no—
352#66948—21no—
353#66948C2311yescharacteristic
354#66948C2311yescharacteristic
355#66948C2311yescharacteristic
356#66947—21no—
357#66947—21no—
358#66947—21no—
359#66946—21no—
360#66946—21no—
361#66946D411yescharacteristic
362#66946C2311yescharacteristic
363#66945—21no—
364#66945—21no—
365#66945C2311yescharacteristic
366C4⋊C4×D11—21no—
367C4⋊C4×D11—21no—
368C4⋊C4×D11D411yescharacteristic
369C4⋊C4×D11C2311yescharacteristic
370C4⋊C4×D11C2311yescharacteristic
371#66943—21no—
372#66943C2311yescharacteristic
373#66940—21no—
374#66940C2311yescharacteristic
375#66940C2311yescharacteristic
376#66939—21no—
377#66939—21no—
378#66938—21no—
379#66938—21no—
380#66938—21no—
381#66938—21no—
382#66938—21no—
383#66938—21no—
384#66938—21no—
385#66938—21no—
386#66937—21no—
387#66937—21no—
388#66937—21no—
389#66937—21no—
390#66936—21no—
391#66936—21no—
392#66936—21no—
393#66936—21no—
394#66935—21no—
395#66935—21no—
396(C22⋊D11)⋊C4—21no—
397(C22⋊D11)⋊C4—21no—
398(C22⋊D11)⋊C4—21no—
399(C22⋊D11)⋊C4—21no—
400(C22⋊D11)⋊C4D411yescharacteristic
401(C22⋊D11)⋊C4D411yescharacteristic
402C22⋊C4×D11—21no—
403C22⋊C4×D11—21no—
404C22⋊C4×D11—21no—
405C22⋊C4×D11—21no—
406C22⋊C4×D11—21no—
407C22⋊C4×D11—21no—
408C22⋊C4×D11D411yescharacteristic
409C22⋊C4×D11D411yescharacteristic
410#66932—21no—
411#66932—21no—
412#66931—21no—
413#66931—21no—
414#66931—21no—
415#66931—21no—
416#66928—21no—
417#66928C2311yescharacteristic
418#66928C2311yescharacteristic
419C4×D44—21no—
420C4×D44—21no—
421C4×D44—21no—
422C4×D44C2311yescharacteristic
423#66925—21no—
424C42×D11—21no—
425C42×D11C2311yescharacteristic
426#66923—21no—
427C4×Dic22—21no—
428C4×Dic22C2311yescharacteristic
429C4×Dic22C2311yescharacteristic
430C11×#107C2311yescharacteristic
431C11×#106C2311yescharacteristic
432C11×#106C2311yescharacteristic
433C11×C4⋊C8C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
436C11×#103C2311yescharacteristic
437C11×#103C2311yescharacteristic
438C11×#103C2311yescharacteristic
439C11×#103C2311yescharacteristic
440C11×#102C2311yescharacteristic
441C11×#102C2311yescharacteristic
442C11×#102C2311yescharacteristic
443C11×#102C2311yescharacteristic
444C11×C22⋊C8C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446C4×C8×C11C2311yescharacteristic
447#66899C2311yescharacteristic
448#66899C2311yescharacteristic
449#66896C2311yescharacteristic
450#66896C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453#66885C2311yescharacteristic
454#66885C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456(C2×D11)⋊C8C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463#66882C2311yescharacteristic
464#66880C2311yescharacteristic
465#66880C2311yescharacteristic
466#66880C2311yescharacteristic
467#66880C2311yescharacteristic
468Dic11⋊C8C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470C8×Dic11C2311yescharacteristic
471C8×Dic11C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66874C2311yescharacteristic
477#66874C2311yescharacteristic
478#66874C2311yescharacteristic
479#66874C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66872C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489C4×C11⋊C8C2311yescharacteristic
490#61583—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11—21no—
493C23×D11C2×D411yescharacteristic
494C23×D11C2×D411yescharacteristic
495C11×#41—22no—
496C11×#41—41no—
497C2×Q8×C11—21no—
498C2×Q8×C11—22no—
499C2×Q8×C11—41no—
500C2×Q8×C11C2411yescharacteristic
501C2×Q8×C11C2411yescharacteristic
502C2×D4×C11—21no—
503C2×D4×C11—21no—
504C2×D4×C11—21no—
505C2×D4×C11—21no—
506C2×D4×C11C2×D411yescharacteristic
507C2×D4×C11C2411yescharacteristic
508C2×D4×C11C2411yescharacteristic
509C22×C4×C11—21no—
510C22×C4×C11—21no—
511C22×C4×C11—21no—
512C22×C4×C11—21no—
513C22×C4×C11C2411yescharacteristic
514C22×C4×C11C2411yescharacteristic
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⋊D11C2×D411yescharacteristic
526C2×C22⋊D11C2×D411yescharacteristic
527C22×Dic11—21no—
528C22×Dic11—21no—
529C22×Dic11—21no—
530C22×Dic11—21no—
531C22×Dic11C2×D411yescharacteristic
532C22×Dic11C2×D411yescharacteristic
533#4343—22no—
534#4343—41no—
535Q8×D11—22no—
536Q8×D11—22no—
537Q8×D11—22no—
538Q8×D11—22no—
539Q8×D11—41no—
540Q8×D11—41no—
541Q8×D11—41no—
542Q8×D11—41no—
543Q8×D11—44no—
544Q8×D11—44no—
545#4341—22no—
546#4341—41no—
547#4341—41no—
548#4341—41no—
549#4341—44no—
550D4×D11—41no—
551D4×D11—41no—
552D4×D11—41no—
553D4×D11—41no—
554D4×D11—42no—
555D4×D11—44no—
556D4×D11—44no—
557D4×D11—44no—
558#4339—22no—
559#4339—41no—
560#4339—41no—
561#4339—41no—
562#4339—44no—
563C2×D44—21no—
564C2×D44—21no—
565C2×D44—21no—
566C2×D44—21no—
567C2×D44C2×D411yescharacteristic
568C2×D44C2411yescharacteristic
569C2×D44C2411yescharacteristic
570C2×C4×D11—21no—
571C2×C4×D11—21no—
572C2×C4×D11—21no—
573C2×C4×D11—21no—
574C2×C4×D11—21no—
575C2×C4×D11—21no—
576C2×C4×D11—21no—
577C2×C4×D11—21no—
578C2×C4×D11—21no—
579C2×C4×D11—21no—
580C2×C4×D11—41no—
581C2×C4×D11—41no—
582C2×C4×D11—41no—
583C2×C4×D11—41no—
584C2×C4×D11—44no—
585C2×C4×D11—44no—
586C2×C4×D11C2×D411yescharacteristic
587C2×C4×D11C2×D411yescharacteristic
588C2×C4×D11C2×D411yescharacteristic
589C2×C4×D11C2×D411yescharacteristic
590C2×C4×D11C2×D411yescharacteristic
591C2×C4×D11C2×D411yescharacteristic
592C2×C4×D11C2411yescharacteristic
593C2×C4×D11C2411yescharacteristic
594C2×C4×D11C2411yescharacteristic
595C2×Dic22—21no—
596C2×Dic22—22no—
597C2×Dic22—21no—
598C2×Dic22—21no—
599C2×Dic22—21no—
600C2×Dic22—21no—
601C2×Dic22—21no—
602C2×Dic22—41no—
603C2×Dic22—41no—
604C2×Dic22—41no—
605C2×Dic22—44no—
606C2×Dic22C2411yescharacteristic
607C2×Dic22C2411yescharacteristic
608C2×Dic22C2411yescharacteristic
609C2×Dic22C2411yescharacteristic
610C11×SD16—22no—
611C11×SD16—41no—
612C11×D8—41no—
613C11×M16—41no—
614C11×M16—41no—
615C2×C8×C11C2411yescharacteristic
616C2×C8×C11C2411yescharacteristic
617C2×C8×C11C2411yescharacteristic
618C2×C8×C11C2411yescharacteristic
619C11×C4⋊C4—21no—
620C11×C4⋊C4—21no—
621C11×C4⋊C4—21no—
622C11×C4⋊C4—21no—
623C11×C4⋊C4—21no—
624C11×C4⋊C4C2×D411yescharacteristic
625C11×C4⋊C4C2411yescharacteristic
626C11×C4⋊C4C2411yescharacteristic
627C11×C4⋊C4C2411yescharacteristic
628C11×C4⋊C4C2411yescharacteristic
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⋊C4—21no—
636C11×C22⋊C4—21no—
637C11×C22⋊C4C2×D411yescharacteristic
638C11×C22⋊C4C2×D411yescharacteristic
639C42×C11—21no—
640C42×C11—21no—
641C42×C11C2411yescharacteristic
642C22⋊Dic11—21no—
643C22⋊Dic11—21no—
644C22⋊Dic11—21no—
645C22⋊Dic11—21no—
646C22⋊Dic11—21no—
647C22⋊Dic11—21no—
648C22⋊Dic11—21no—
649C22⋊Dic11—21no—
650C22⋊Dic11C2×D411yescharacteristic
651C22⋊Dic11C2×D411yescharacteristic
652#4326—22no—
653#4326—22no—
654#4326—41no—
655#4326—41no—
656#4325—22no—
657#4325—41no—
658#4324—22no—
659#4324—41no—
660#4324—41no—
661#4324—41no—
662#4323—41no—
663#4323—41no—
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)⋊C4—21no—
670(C2×D11)⋊C4—21no—
671(C2×D11)⋊C4—21no—
672(C2×D11)⋊C4—21no—
673(C2×D11)⋊C4—21no—
674(C2×D11)⋊C4—21no—
675(C2×D11)⋊C4—21no—
676(C2×D11)⋊C4—21no—
677(C2×D11)⋊C4—21no—
678(C2×D11)⋊C4—21no—
679(C2×D11)⋊C4—21no—
680(C2×D11)⋊C4—21no—
681(C2×D11)⋊C4—21no—
682(C2×D11)⋊C4—21no—
683(C2×D11)⋊C4—21no—
684(C2×D11)⋊C4C2×D411yescharacteristic
685(C2×D11)⋊C4C2×D411yescharacteristic
686(C2×D11)⋊C4C2×D411yescharacteristic
687(C2×D11)⋊C4C2×D411yescharacteristic
688C4⋊Dic11—21no—
689C4⋊Dic11—21no—
690C4⋊Dic11—21no—
691C4⋊Dic11—21no—
692C4⋊Dic11—21no—
693C4⋊Dic11—21no—
694C4⋊Dic11—21no—
695C4⋊Dic11—21no—
696C4⋊Dic11C2×D411yescharacteristic
697C4⋊Dic11C2411yescharacteristic
698C4⋊Dic11C2411yescharacteristic
699Dic11⋊C4—21no—
700Dic11⋊C4—21no—
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4C2×D411yescharacteristic
710Dic11⋊C4C2×D411yescharacteristic
711C4×Dic11—21no—
712C4×Dic11—21no—
713C4×Dic11—21no—
714C4×Dic11—21no—
715C4×Dic11—21no—
716C4×Dic11—21no—
717C4×Dic11C2×D411yescharacteristic
718C4×Dic11C2×D411yescharacteristic
719C4×Dic11C2411yescharacteristic
720#4318—41no—
721#4318—41no—
722C2×C11⋊C8C2411yescharacteristic
723C2×C11⋊C8C2411yescharacteristic
724C2×C11⋊C8C2411yescharacteristic
725C2×C11⋊C8C2411yescharacteristic
726Dic44—22no—
727Dic44—22no—
728Dic44—41no—
729Dic44—41no—
730D88—41no—
731#4314—22no—
732#4314—41no—
733#4314—41no—
734#4314—41no—
735#4313—41no—
736#4313—41no—
737#4313—41no—
738#4313—41no—
739#3505—111no—
740C2×#548—111no—
741#3327—111no—
742#3327—111no—
743#3327—111no—
744#3327—111no—
745#3326—111no—
746#3326—111no—
747#3326—111no—
748#3326D1111yescharacteristic, complemented
749#3277—111no—
750#3277—111no—
751#3277—111no—
752#3277—111no—
753#3275—111no—
754#3275—111no—
755#3275—111no—
756#3275—111no—
757#3211—111no—
758#3211—111no—
759#3195—111no—
760#3194—111no—
761#3194—111no—
762#3193—111no—
763#3108—111no—
764#3108—111no—
765#3007—111no—
766#3006—111no—
767#3004—111no—
768#3004—111no—
769#2975—111no—
770C23×C11—21no—
771C23×C11—21no—
772C23×C11C22×D411yescharacteristic
773C23×C11C22×D411yescharacteristic
774C22×D11—22no—
775C22×D11—22no—
776C22×D11—21no—
777C22×D11—21no—
778C22×D11—41no—
779C22×D11—41no—
780C22×D11—41no—
781C22×D11—41no—
782C22×D11—42no—
783C22×D11—42no—
784C22×D11—42no—
785C22×D11—42no—
786C22×D11—81no—
787C22×D11—81no—
788C22×D11C22×D411yescharacteristic
789C22×D11C22×D411yescharacteristic
790C22×D11C22×D411yescharacteristic
791Q8×C11—21no—
792Q8×C11—21no—
793Q8×C11—21no—
794Q8×C11—42no—
795Q8×C11H(5,𝔽2)12yes—
796D4×C11—21no—
797D4×C11—21no—
798D4×C11—21no—
799D4×C11—21no—
800D4×C11—41no—
801D4×C11—42no—
802D4×C11—42no—
803D4×C11—42no—
804D4×C11—81no—
805C2×C4×C11—21no—
806C2×C4×C11—21no—
807C2×C4×C11—21no—
808C2×C4×C11—21no—
809C2×C4×C11—21no—
810C2×C4×C11—21no—
811C2×C4×C11—21no—
812C2×C4×C11—21no—
813C2×C4×C11—21no—
814C2×C4×C11—21no—
815C2×C4×C11—42no—
816C2×C4×C11—42no—
817C2×C4×C11—81no—
818C2×C4×C11—81no—
819C2×C4×C11C22×D411yescharacteristic
820C2×C4×C11C22×D411yescharacteristic
821C2×C4×C11C22×D411yescharacteristic
822C2×C4×C11C22×D411yescharacteristic
823C2×C4×C11C2511yescharacteristic
824C22⋊D11—41no—
825C22⋊D11—41no—
826C22⋊D11—42no—
827C22⋊D11—42no—
828C22⋊D11—42no—
829C22⋊D11—42no—
830C22⋊D11—42no—
831C22⋊D11—42no—
832C22⋊D11—42no—
833C22⋊D11—81no—
834C22⋊D11—81no—
835C22⋊D11—81no—
836C2×Dic11—21no—
837C2×Dic11—21no—
838C2×Dic11—21no—
839C2×Dic11—21no—
840C2×Dic11—21no—
841C2×Dic11—21no—
842C2×Dic11—41no—
843C2×Dic11—41no—
844C2×Dic11—42no—
845C2×Dic11—42no—
846C2×Dic11—81no—
847C2×Dic11—81no—
848C2×Dic11C22×D411yescharacteristic
849C2×Dic11C22×D411yescharacteristic
850C2×Dic11C22×D411yescharacteristic
851C2×Dic11C22×D411yescharacteristic
852C2×Dic11C22×D411yescharacteristic
853D44—21no—
854D44—21no—
855D44—21no—
856D44—21no—
857D44—41no—
858D44—42no—
859D44—42no—
860D44—42no—
861D44—81no—
862C4×D11—24no—
863C4×D11—22no—
864C4×D11—21no—
865C4×D11—21no—
866C4×D11—21no—
867C4×D11—21no—
868C4×D11—21no—
869C4×D11—21no—
870C4×D11—41no—
871C4×D11—41no—
872C4×D11—41no—
873C4×D11—41no—
874C4×D11—41no—
875C4×D11—42no—
876C4×D11—42no—
877C4×D11—42no—
878C4×D11—42no—
879C4×D11—42no—
880C4×D11—42no—
881C4×D11—42no—
882C4×D11—81no—
883C4×D11—81no—
884Dic22—24no—
885Dic22—21no—
886Dic22—21no—
887Dic22—21no—
888Dic22—21no—
889Dic22—21no—
890Dic22—21no—
891Dic22—21no—
892Dic22—42no—
893Dic22—42no—
894Dic22—42no—
895Dic22—42no—
896Dic22—81no—
897Dic22H(5,𝔽2)12yes—
898C8×C11—21no—
899C8×C11—21no—
900C8×C11—21no—
901C8×C11—21no—
902C11⋊C8—21no—
903C11⋊C8—21no—
904C11⋊C8—21no—
905C11⋊C8—21no—
906C22×#41—111no—
907C23×Q8—111no—
908C2×#137—111no—
909C2×#137—111no—
910C2×#137—111no—
911C2×#137—111no—
912C2×#137—111no—
913C2×#137—111no—
914C2×AGL(1,ℤ/8)—111no—
915C2×AGL(1,ℤ/8)—111no—
916#553—111no—
917#553—221no—
918#553—221no—
919#553C2×D1111yescharacteristic, complemented
920#552—111no—
921#552—111no—
922#551—221no—
923#551—221no—
924#548—111no—
925#548—111no—
926#548—111no—
927#548—111no—
928#548—111no—
929#548—111no—
930#548—111no—
931#548—111no—
932#548—111no—
933#548—221no—
934#548—221no—
935#548—221no—
936#548—221no—
937#548C2×D1111yescharacteristic, complemented
938#546—111no—
939#546—111no—
940#539—221no—
941#538—221no—
942#534—221no—
943#529—111no—
944#529—111no—
945C2×#124—111no—
946C2×#124—221no—
947#525—111no—
948#525—111no—
949C2×C22⋊Q8—111no—
950C2×C22⋊Q8—111no—
951C2×C22⋊Q8—221no—
952C2×#121—111no—
953C2×#121—111no—
954C2×#121—221no—
955#518—221no—
956C2×C4×Q8—111no—
957C2×C4×D4—111no—
958C2×C4×D4—221no—
959#495—111no—
960#495—111no—
961#495—111no—
962#495—111no—
963#488—111no—
964#488—111no—
965#488—111no—
966#488C2×D1111yescharacteristic, complemented
967#484—111no—
968#484—111no—
969#483—111no—
970#483—111no—
971#483—111no—
972#483C2×D1111yescharacteristic, complemented
973#482—111no—
974#482—111no—
975#482—111no—
976#482C2×D1111yescharacteristic, complemented
977#480—111no—
978#480—111no—
979#479—111no—
980#479—111no—
981#479—111no—
982#479C2×D1111yescharacteristic, complemented
983#470—111no—
984#470—111no—
985#470—111no—
986#470—111no—
987#469—111no—
988#469—111no—
989#469—111no—
990#469C2×D1111yescharacteristic, complemented
991#468—111no—
992#468—111no—
993#468—111no—
994#468—111no—
995#468—111no—
996#468—111no—
997#468—111no—
998#468C2×D1111yescharacteristic, complemented
999#464—111no—
1000#464—111no—
1001#464—111no—
1002#464—111no—
1003#464—111no—
1004#464—111no—
1005#464—111no—
1006#464—111no—
1007#463—111no—
1008#463—111no—
1009#463—111no—
1010#463C2×D1111yescharacteristic, complemented
1011#452—111no—
1012#452—111no—
1013#452—111no—
1014#452—111no—
1015#451—111no—
1016#451—111no—
1017#451—111no—
1018#451—111no—
1019#451—111no—
1020#451—111no—
1021#451—111no—
1022#451—111no—
1023#451—111no—
1024#451—111no—
1025#450—111no—
1026#450—111no—
1027#450—111no—
1028#450—111no—
1029#449—111no—
1030#449—111no—
1031#449—111no—
1032#449—111no—
1033#449—111no—
1034#449—111no—
1035#449—111no—
1036#449C2×D1111yescharacteristic, complemented
1037#448—111no—
1038#448—111no—
1039#448—111no—
1040#448—111no—
1041#448—111no—
1042#448—111no—
1043#448—111no—
1044#448C2×D1111yescharacteristic, complemented
1045#447—111no—
1046#447—111no—
1047C4×Q16—111no—
1048C4×Q16—111no—
1049C4×Q16—111no—
1050C4×Q16—111no—
1051C4×SD16—111no—
1052C4×SD16—111no—
1053C4×SD16—111no—
1054C4×SD16C2×D1111yescharacteristic, complemented
1055#436—111no—
1056#436—111no—
1057#436—111no—
1058#436—111no—
1059#436—111no—
1060#436—111no—
1061#436—111no—
1062#436C2×D1111yescharacteristic, complemented
1063#431—111no—
1064#431—111no—
1065#419—111no—
1066#419—111no—
1067#419—111no—
1068#419C2×D1111yescharacteristic, complemented
1069#417—111no—
1070#417—111no—
1071#417—111no—
1072#417C2×D1111yescharacteristic, complemented
1073#407—111no—
1074#407—111no—
1075#407—111no—
1076#407—111no—
1077C22×C11—21no—
1078C22×C11—21no—
1079C22×C11—21no—
1080C22×C11—21no—
1081C22×C11—21no—
1082C22×C11—21no—
1083C22×C11—41no—
1084C22×C11—41no—
1085C22×C11—41no—
1086C22×C11—41no—
1087C22×C11—41no—
1088C22×C11—41no—
1089C22×C11C23×D411yescharacteristic
1090C2×D11—21no—
1091C2×D11—21no—
1092C2×D11—21no—
1093C2×D11—21no—
1094C2×D11—21no—
1095C2×D11—21no—
1096C2×D11—21no—
1097C2×D11—21no—
1098C2×D11—44no—
1099C2×D11—41no—
1100C2×D11—41no—
1101C2×D11—41no—
1102C2×D11—41no—
1103C2×D11—41no—
1104C2×D11—41no—
1105C2×D11—82no—
1106C2×D11—84no—
1107C2×D11—162no—
1108C2×D11#57512yes—
1109C4×C11—21no—
1110C4×C11—21no—
1111C4×C11—21no—
1112C4×C11—22no—
1113C4×C11—21no—
1114C4×C11—41no—
1115C4×C11—41no—
1116C4×C11—41no—
1117C4×C11—41no—
1118C4×C11—41no—
1119C4×C11C2×H(5,𝔽2)11yescharacteristic
1120C4×C11C2×H(5,𝔽2)11yescharacteristic
1121Dic11—21no—
1122Dic11—21no—
1123Dic11—22no—
1124Dic11—21no—
1125Dic11—21no—
1126Dic11—21no—
1127Dic11—41no—
1128Dic11—41no—
1129Dic11—41no—
1130Dic11—41no—
1131Dic11—41no—
1132C2×#41—111no—
1133C2×#41—111no—
1134C2×#41—111no—
1135C2×#41—111no—
1136C2×#41—111no—
1137C2×#41—221no—
1138C2×#41—221no—
1139C2×#41—442no—
1140C2×#41—442no—
1141C2×#41C22×D1111yescharacteristic
1142C22×Q8—111no—
1143C22×Q8—111no—
1144C22×Q8—111no—
1145C22×Q8—111no—
1146C22×Q8—111no—
1147C22×Q8—111no—
1148C22×Q8—221no—
1149C22×Q8—221no—
1150C22×Q8—221no—
1151C22×Q8—442no—
1152C22×Q8—442no—
1153C22×Q8C22×D1111yescharacteristic
1154C22×D4—111no—
1155C22×D4—111no—
1156C22×D4—111no—
1157C22×D4—221no—
1158C22×D4—221no—
1159C22×D4—221no—
1160C23×C4—111no—
1161C23×C4—111no—
1162C23×C4—221no—
1163C23×C4—221no—
1164#137—442no—
1165#137—442no—
1166#137—442no—
1167#137—442no—
1168#137—442no—
1169#137—442no—
1170AGL(1,ℤ/8)—442no—
1171AGL(1,ℤ/8)—442no—
1172C2×Q16—111no—
1173C2×Q16—111no—
1174C2×Q16—111no—
1175C2×Q16—111no—
1176C2×Q16—111no—
1177C2×Q16—111no—
1178C2×Q16—111no—
1179C2×Q16—111no—
1180C2×SD16—111no—
1181C2×SD16—111no—
1182C2×SD16—111no—
1183C2×SD16—111no—
1184C2×SD16—111no—
1185C2×SD16—111no—
1186C2×SD16—111no—
1187C2×SD16—111no—
1188C2×SD16—111no—
1189C2×SD16—111no—
1190C2×SD16C22×D1111yescharacteristic
1191C2×SD16C22×D1111yescharacteristic
1192C2×D8—111no—
1193C2×D8—111no—
1194C2×D8—111no—
1195C2×D8C22×D1111yescharacteristic
1196C2×M16—111no—
1197C2×M16—111no—
1198C2×M16—111no—
1199C2×M16—111no—
1200C2×M16—111no—
1201C2×M16—111no—
1202C2×M16C22×D1111yescharacteristic
1203C2×M16C22×D1111yescharacteristic
1204#126—21no—
1205#126—221no—
1206#126—221no—
1207#126—221no—
1208#126—221no—
1209#126—221no—
1210#125—111no—
1211#125—221no—
1212#125—221no—
1213#125C22×D1111yescharacteristic
1214#124—21no—
1215#124—111no—
1216#124—111no—
1217#124—111no—
1218#124—111no—
1219#124—111no—
1220#124—221no—
1221#124—221no—
1222#124—221no—
1223#124—221no—
1224#124—221no—
1225#124—221no—
1226#124—221no—
1227#124—221no—
1228#124—221no—
1229#124—221no—
1230#124—221no—
1231#124C22×D1111yescharacteristic
1232#123—21no—
1233#123—221no—
1234#123—221no—
1235#123—221no—
1236#123—221no—
1237#123—221no—
1238#123—221no—
1239#123—221no—
1240#123—221no—
1241#123—221no—
1242C22⋊Q8—21no—
1243C22⋊Q8—111no—
1244C22⋊Q8—111no—
1245C22⋊Q8—111no—
1246C22⋊Q8—111no—
1247C22⋊Q8—111no—
1248C22⋊Q8—111no—
1249C22⋊Q8—111no—
1250C22⋊Q8—111no—
1251C22⋊Q8—111no—
1252C22⋊Q8—221no—
1253C22⋊Q8—221no—
1254C22⋊Q8—221no—
1255C22⋊Q8—221no—
1256C22⋊Q8—221no—
1257C22⋊Q8—221no—
1258C22⋊Q8—221no—
1259C22⋊Q8—221no—
1260C22⋊Q8—221no—
1261C22⋊Q8—221no—
1262C22⋊Q8—221no—
1263C22⋊Q8—221no—
1264C22⋊Q8—221no—
1265C22⋊Q8C22×D1111yescharacteristic
1266#121—21no—
1267#121—21no—
1268#121—111no—
1269#121—111no—
1270#121—111no—
1271#121—111no—
1272#121—111no—
1273#121—111no—
1274#121—111no—
1275#121—221no—
1276#121—221no—
1277#121—221no—
1278#121—221no—
1279#121—221no—
1280#121—221no—
1281#121—221no—
1282#121—221no—
1283#121—221no—
1284#121—221no—
1285#121—221no—
1286#121—221no—
1287#121—221no—
1288#121—221no—
1289#121—221no—
1290#121—221no—
1291#121C22×D1111yescharacteristic
1292#121C22×D1111yescharacteristic
1293#121C22×D1111yescharacteristic
1294#120—221no—
1295#120—221no—
1296#120—221no—
1297#120—221no—
1298C4×Q8—111no—
1299C4×Q8—111no—
1300C4×Q8—111no—
1301C4×Q8—111no—
1302C4×Q8—111no—
1303C4×Q8—221no—
1304C4×Q8—221no—
1305C4×Q8C22×D1111yescharacteristic
1306C4×D4—21no—
1307C4×D4—21no—
1308C4×D4—111no—
1309C4×D4—111no—
1310C4×D4—111no—
1311C4×D4—111no—
1312C4×D4—111no—
1313C4×D4—111no—
1314C4×D4—111no—
1315C4×D4—111no—
1316C4×D4—221no—
1317C4×D4—221no—
1318C4×D4—221no—
1319C4×D4—221no—
1320C4×D4—221no—
1321C4×D4—221no—
1322C4×D4—221no—
1323C4×D4—221no—
1324C4×D4—221no—
1325C4×D4—221no—
1326C4×D4—221no—
1327C4×D4—221no—
1328C4×D4—221no—
1329C4×D4—221no—
1330C4×D4—221no—
1331C4×D4—221no—
1332C4×D4C22×D1111yescharacteristic
1333C4×D4C22×D1111yescharacteristic
1334#117—111no—
1335#117—221no—
1336#117—221no—
1337#117—221no—
1338#117—221no—
1339#117C22×D1111yescharacteristic
1340C2×C4⋊C4—111no—
1341C2×C4⋊C4—111no—
1342C2×C4⋊C4—111no—
1343C2×C4⋊C4—221no—
1344C2×C4⋊C4—221no—
1345C2×C4⋊C4—221no—
1346C2×C4⋊C4C22×D1111yescharacteristic
1347C2×C22⋊C4—111no—
1348C2×C22⋊C4—111no—
1349C2×C22⋊C4—221no—
1350C2×C22⋊C4—221no—
1351C2×C22⋊C4—221no—
1352C2×C22⋊C4—221no—
1353C2×C22⋊C4—221no—
1354C2×C22⋊C4—221no—
1355C2×C22⋊C4—221no—
1356C2×C22⋊C4—221no—
1357C2×C42—111no—
1358C2×C42—221no—
1359#107—111no—
1360#107—111no—
1361#107—111no—
1362#107C22×D1111yescharacteristic
1363#106—111no—
1364#106—111no—
1365#106C22×D1111yescharacteristic
1366#106C22×D1111yescharacteristic
1367C4⋊C8—111no—
1368C4⋊C8—111no—
1369C4⋊C8—111no—
1370C4⋊C8C22×D1111yescharacteristic
1371#103—111no—
1372#103—111no—
1373#103—111no—
1374#103—111no—
1375#103—111no—
1376#103—111no—
1377#103—111no—
1378#103—111no—
1379#103—111no—
1380#103—111no—
1381#103—111no—
1382#103—111no—
1383#103—111no—
1384#103—111no—
1385#103C22×D1111yescharacteristic
1386#103C22×D1111yescharacteristic
1387#103C22×D1111yescharacteristic
1388#103C22×D1111yescharacteristic
1389#103C22×D1111yescharacteristic
1390#103C22×D1111yescharacteristic
1391#102—111no—
1392#102—111no—
1393#102—111no—
1394#102—111no—
1395#102—111no—
1396#102—111no—
1397#102—111no—
1398#102—111no—
1399#102C22×D1111yescharacteristic
1400#102C22×D1111yescharacteristic
1401#102C22×D1111yescharacteristic
1402#102C22×D1111yescharacteristic
1403C22⋊C8—111no—
1404C22⋊C8—111no—
1405C22⋊C8—111no—
1406C22⋊C8—111no—
1407C22⋊C8—111no—
1408C22⋊C8—111no—
1409C22⋊C8—111no—
1410C22⋊C8—111no—
1411C22⋊C8—111no—
1412C22⋊C8—111no—
1413C22⋊C8C22×D1111yescharacteristic
1414C22⋊C8C22×D1111yescharacteristic
1415C4×C8—111no—
1416C4×C8—111no—
1417C4×C8—111no—
1418C4×C8C22×D1111yescharacteristic
1419C2×C11—41no—
1420C2×C11—41no—
1421C2×C11—81no—
1422C2×C11—81no—
1423C2×C11#348411yescharacteristic
1424C2×C11C2×#57511yescharacteristic
1425C2×C11#358611yescharacteristic
1426D11—22no—
1427D11—41no—
1428D11—41no—
1429D11—81no—
1430D11—81no—
1431C24—111no—
1432C24—111no—
1433C24—221no—
1434C24—221no—
1435#41—22no—
1436#41—41no—
1437#41—222no—
1438#41—222no—
1439#41—222no—
1440#41—441no—
1441#41—441no—
1442#41—441no—
1443#41—444no—
1444#41—441no—
1445#41—441no—
1446#41—441no—
1447#41—441no—
1448#41—444no—
1449C2×Q8—21no—
1450C2×Q8—22no—
1451C2×Q8—41no—
1452C2×Q8—111no—
1453C2×Q8—111no—
1454C2×Q8—111no—
1455C2×Q8—111no—
1456C2×Q8—221no—
1457C2×Q8—221no—
1458C2×Q8—221no—
1459C2×Q8—221no—
1460C2×Q8—222no—
1461C2×Q8—222no—
1462C2×Q8—222no—
1463C2×Q8—221no—
1464C2×Q8—221no—
1465C2×Q8—222no—
1466C2×Q8—222no—
1467C2×Q8—441no—
1468C2×Q8—441no—
1469C2×Q8—441no—
1470C2×Q8—444no—
1471C2×Q8—441no—
1472C2×Q8—441no—
1473C2×Q8—441no—
1474C2×Q8—441no—
1475C2×Q8—444no—
1476C2×Q8—444no—
1477C2×Q8C23×D1111yescharacteristic
1478C2×Q8C23×D1111yescharacteristic
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—111no—
1484C2×D4—111no—
1485C2×D4—111no—
1486C2×D4—111no—
1487C2×D4—111no—
1488C2×D4—221no—
1489C2×D4—221no—
1490C2×D4—221no—
1491C2×D4—221no—
1492C2×D4—221no—
1493C2×D4—221no—
1494C2×D4—221no—
1495C2×D4—221no—
1496C2×D4—221no—
1497C2×D4—221no—
1498C2×D4—221no—
1499C2×D4—221no—
1500C2×D4—221no—
1501C2×D4—221no—
1502C2×D4—441no—
1503C2×D4—441no—
1504C2×D4—441no—
1505C2×D4—441no—
1506C2×D4—442no—
1507C2×D4—444no—
1508C2×D4—444no—
1509C2×D4—444no—
1510C2×D4D4×D1111yescharacteristic
1511C2×D4C23×D1111yescharacteristic
1512C2×D4C23×D1111yescharacteristic
1513C22×C4—21no—
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—111no—
1518C22×C4—111no—
1519C22×C4—111no—
1520C22×C4—111no—
1521C22×C4—111no—
1522C22×C4—111no—
1523C22×C4—111no—
1524C22×C4—111no—
1525C22×C4—111no—
1526C22×C4—111no—
1527C22×C4—111no—
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—221no—
1537C22×C4—221no—
1538C22×C4—221no—
1539C22×C4—221no—
1540C22×C4—221no—
1541C22×C4—221no—
1542C22×C4—441no—
1543C22×C4—441no—
1544C22×C4—441no—
1545C22×C4—441no—
1546C22×C4—444no—
1547C22×C4—444no—
1548C22×C4C23×D1111yescharacteristic
1549C22×C4C23×D1111yescharacteristic
1550Q16—222no—
1551Q16—222no—
1552Q16—222no—
1553Q16—222no—
1554Q16—441no—
1555Q16—441no—
1556Q16—441no—
1557Q16—441no—
1558SD16—22no—
1559SD16—41no—
1560SD16—222no—
1561SD16—222no—
1562SD16—222no—
1563SD16—441no—
1564SD16—441no—
1565SD16—441no—
1566SD16—441no—
1567SD16—441no—
1568SD16—441no—
1569SD16—441no—
1570D8—41no—
1571D8—441no—
1572D8—441no—
1573D8—441no—
1574M16—41no—
1575M16—41no—
1576M16—441no—
1577M16—441no—
1578M16—441no—
1579M16—441no—
1580M16—441no—
1581M16—441no—
1582C2×C8—111no—
1583C2×C8—111no—
1584C2×C8—111no—
1585C2×C8—111no—
1586C2×C8C23×D1111yescharacteristic
1587C2×C8C23×D1111yescharacteristic
1588C2×C8C23×D1111yescharacteristic
1589C2×C8C23×D1111yescharacteristic
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—111no—
1596C4⋊C4—111no—
1597C4⋊C4—111no—
1598C4⋊C4—111no—
1599C4⋊C4—111no—
1600C4⋊C4—221no—
1601C4⋊C4—221no—
1602C4⋊C4—221no—
1603C4⋊C4—221no—
1604C4⋊C4—221no—
1605C4⋊C4—221no—
1606C4⋊C4—221no—
1607C4⋊C4—221no—
1608C4⋊C4—221no—
1609C4⋊C4—221no—
1610C4⋊C4—221no—
1611C4⋊C4—221no—
1612C4⋊C4—221no—
1613C4⋊C4—221no—
1614C4⋊C4—221no—
1615C4⋊C4—221no—
1616C4⋊C4—221no—
1617C4⋊C4—221no—
1618C4⋊C4D4×D1111yescharacteristic
1619C4⋊C4C23×D1111yescharacteristic
1620C4⋊C4C23×D1111yescharacteristic
1621C4⋊C4C23×D1111yescharacteristic
1622C4⋊C4C23×D1111yescharacteristic
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—111no—
1632C22⋊C4—111no—
1633C22⋊C4—111no—
1634C22⋊C4—111no—
1635C22⋊C4—111no—
1636C22⋊C4—111no—
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⋊C4—221no—
1647C22⋊C4—221no—
1648C22⋊C4—221no—
1649C22⋊C4—221no—
1650C22⋊C4—221no—
1651C22⋊C4—221no—
1652C22⋊C4—221no—
1653C22⋊C4—221no—
1654C22⋊C4—221no—
1655C22⋊C4—221no—
1656C22⋊C4—221no—
1657C22⋊C4—221no—
1658C22⋊C4—221no—
1659C22⋊C4—221no—
1660C22⋊C4—221no—
1661C22⋊C4—221no—
1662C22⋊C4—221no—
1663C22⋊C4—221no—
1664C22⋊C4—221no—
1665C22⋊C4D4×D1111yescharacteristic
1666C22⋊C4D4×D1111yescharacteristic
1667C42—21no—
1668C42—21no—
1669C42—111no—
1670C42—111no—
1671C42—111no—
1672C42—221no—
1673C42—221no—
1674C42—221no—
1675C42—221no—
1676C42—221no—
1677C42—221no—
1678C42C23×D1111yescharacteristic
1679C11#6158311yescharacteristic, complemented, Sylow
1680C23—21no—
1681C23—21no—
1682C23—111no—
1683C23—111no—
1684C23—111no—
1685C23—222no—
1686C23—222no—
1687C23—221no—
1688C23—221no—
1689C23—441no—
1690C23—441no—
1691C23—441no—
1692C23—441no—
1693C23—442no—
1694C23—442no—
1695C23—442no—
1696C23—442no—
1697C23—881no—
1698C23—881no—
1699C23C2×D4×D1111yescharacteristic
1700C23C2×D4×D1111yescharacteristic
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—42no—
1705Q8—112no—
1706Q8—224no—
1707Q8—221no—
1708Q8—221no—
1709Q8—221no—
1710Q8—221no—
1711Q8—221no—
1712Q8—221no—
1713Q8—221no—
1714Q8—442no—
1715Q8—442no—
1716Q8—442no—
1717Q8—442no—
1718Q8—881no—
1719Q8#6704212yes—
1720D4—21no—
1721D4—21no—
1722D4—21no—
1723D4—21no—
1724D4—41no—
1725D4—42no—
1726D4—42no—
1727D4—42no—
1728D4—81no—
1729D4—221no—
1730D4—221no—
1731D4—221no—
1732D4—221no—
1733D4—441no—
1734D4—442no—
1735D4—442no—
1736D4—442no—
1737D4—441no—
1738D4—441no—
1739D4—442no—
1740D4—442no—
1741D4—442no—
1742D4—442no—
1743D4—442no—
1744D4—442no—
1745D4—442no—
1746D4—881no—
1747D4—881no—
1748D4—881no—
1749D4—881no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—42no—
1761C2×C4—42no—
1762C2×C4—81no—
1763C2×C4—81no—
1764C2×C4—111no—
1765C2×C4—111no—
1766C2×C4—111no—
1767C2×C4—111no—
1768C2×C4—111no—
1769C2×C4—222no—
1770C2×C4—224no—
1771C2×C4—221no—
1772C2×C4—221no—
1773C2×C4—221no—
1774C2×C4—221no—
1775C2×C4—221no—
1776C2×C4—221no—
1777C2×C4—221no—
1778C2×C4—221no—
1779C2×C4—221no—
1780C2×C4—221no—
1781C2×C4—221no—
1782C2×C4—221no—
1783C2×C4—441no—
1784C2×C4—441no—
1785C2×C4—441no—
1786C2×C4—441no—
1787C2×C4—441no—
1788C2×C4—442no—
1789C2×C4—442no—
1790C2×C4—442no—
1791C2×C4—442no—
1792C2×C4—442no—
1793C2×C4—442no—
1794C2×C4—442no—
1795C2×C4—441no—
1796C2×C4—441no—
1797C2×C4—442no—
1798C2×C4—442no—
1799C2×C4—881no—
1800C2×C4—881no—
1801C2×C4—881no—
1802C2×C4—881no—
1803C2×C4C2×D4×D1111yescharacteristic
1804C2×C4C2×D4×D1111yescharacteristic
1805C2×C4C2×D4×D1111yescharacteristic
1806C2×C4C2×D4×D1111yescharacteristic
1807C2×C4C24×D1111yescharacteristic
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—221no—
1813C8—221no—
1814C8—221no—
1815C8—221no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—112no—
1829C22—221no—
1830C22—221no—
1831C22—221no—
1832C22—221no—
1833C22—221no—
1834C22—221no—
1835C22—221no—
1836C22—221no—
1837C22—444no—
1838C22—441no—
1839C22—441no—
1840C22—441no—
1841C22—441no—
1842C22—441no—
1843C22—441no—
1844C22—882no—
1845C22—884no—
1846C22—1762no—
1847C22C22×D4×D1111yescharacteristic
1848C4—21no—
1849C4—21no—
1850C4—21no—
1851C4—22no—
1852C4—21no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—41no—
1858C4—221no—
1859C4—221no—
1860C4—221no—
1861C4—221no—
1862C4—222no—
1863C4—221no—
1864C4—441no—
1865C4—441no—
1866C4—441no—
1867C4—441no—
1868C4—441no—
1869C4C2×#6704211yescharacteristic
1870C4D11×H(5,𝔽2)11yescharacteristic
1871C2—41no—
1872C2—41no—
1873C2—81no—
1874C2—81no—
1875C2—222no—
1876C2—441no—
1877C2—441no—
1878C2—881no—
1879C2—881no—
1880C2#1308224611yescharacteristic
1881C2D11×#57511yescharacteristic
1882C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3326C2
socleC22×C11C23×D4
hypercenter#3326D11
hypocenterC11#61583
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3326

Complements

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

NH ≅ G/Ntype
1. #13082445C2semidirect
2. D11×#548C2semidirect
3. #13080883C2semidirect
4. #13080882C2semidirect
5. #13080881C2semidirect
6. #13080880C2semidirect
7. #13080872C2semidirect
8. #13080870C2semidirect
9. #13080863C2semidirect
10. #13080274C2semidirect
11. #13080270C2semidirect
12. #13080269C2semidirect
13. #13080266C2semidirect
14. #13080254C2semidirect
15. #13080253C2semidirect
16. #13080250C2semidirect
17. #13080249C2semidirect
18. #13079582C2semidirect
19. #13079579C2semidirect
20. #13079439C2semidirect
21. #13079434C2semidirect
22. #13079425C2semidirect
23. #13079417C2semidirect
24. #13078701C2semidirect
25. #13078694C2semidirect
26. #13077877C2semidirect
27. #13077865C2semidirect
28. #13077852C2semidirect
29. #13077847C2semidirect
30. #13077654C2semidirect
31. C11×#3326C2semidirect
33. C22×Q8×D11C22semidirect
34. C11×#553C22semidirect
35. C11×#548C22semidirect
36. #10623362C22semidirect
37. C2×#67004C22semidirect
39. C2×#66995C22semidirect
40. C2×#66968C22semidirect
41. C2×#66968C22semidirect
42. C2×#66967C22semidirect
43. C2×#66964C22semidirect
44. C2×#66962C22semidirect
45. C2×#66962C22semidirect
48. #10623225C22semidirect
53. D11×#124C22semidirect
57. #10623164C22semidirect
61. #10623143C22semidirect
66. D11×#121C22semidirect
69. #10623129C22semidirect
71. C4×Q8×D11C22semidirect
74. #10623085C22semidirect
76. #10623083C22semidirect
77. #10623083C22semidirect
81. #10623060C22semidirect
83. #10623045C22semidirect
85. C11×#488C22semidirect
86. C11×#483C22semidirect
87. C11×#482C22semidirect
88. C11×#479C22semidirect
89. C11×#469C22semidirect
90. C11×#468C22semidirect
91. C11×#463C22semidirect
92. C11×#449C22semidirect
93. C11×#448C22semidirect
94. C4×C11×SD16C22semidirect
95. C11×#436C22semidirect
96. C11×#419C22semidirect
97. C11×#417C22semidirect
98. #10622851C22semidirect
99. #10622841C22semidirect
102. #10622782C22semidirect
103. #10622781C22semidirect
104. #10622779C22semidirect
105. #10622771C22semidirect
107. #10622768C22semidirect
108. #10622747C22semidirect
109. #10622747C22semidirect
110. #10622741C22semidirect
111. #10622741C22semidirect
113. #10622739C22semidirect
114. #10622681C22semidirect
115. #10622676C22semidirect
116. #10622672C22semidirect
117. #10622667C22semidirect
118. #10622663C22semidirect
119. #10622662C22semidirect
120. #10622655C22semidirect
121. #10622655C22semidirect
122. #10622653C22semidirect
123. #10622652C22semidirect
124. #10622650C22semidirect
125. #10622650C22semidirect
126. C4×#4326C22semidirect
127. #10622641C22semidirect
128. C4×#4324C22semidirect
129. #10622629C22semidirect
130. #10622625C22semidirect
131. #10622617C22semidirect
132. #10622616C22semidirect
133. #10622584C22semidirect
134. #10622579C22semidirect
135. #10622499C22semidirect
136. #10622497C22semidirect
138. #10622486C22semidirect
139. #10622481C22semidirect
140. #10622481C22semidirect
141. #10622479C22semidirect
142. #10622478C22semidirect
143. #10622475C22semidirect
144. #10622475C22semidirect
145. #10622470C22semidirect
146. #10622465C22semidirect
147. #10622458C22semidirect
148. #10622458C22semidirect
149. #10622451C22semidirect
150. #10622446C22semidirect
151. #10622432C22semidirect
152. #10622429C22semidirect
153. #10622429C22semidirect
154. #10622423C22semidirect
155. #10622423C22semidirect
156. #10622422C22semidirect
157. #10622421C22semidirect
158. #10622421C22semidirect
159. #10622421C22semidirect
160. #10622421C22semidirect
161. #10622421C22semidirect
162. #10622421C22semidirect
165. #10622419C22semidirect
166. #10622419C22semidirect
167. #10622416C22semidirect
168. #10622415C22semidirect
169. #10622415C22semidirect
170. #10622413C22semidirect
171. #10622411C22semidirect
172. #10622409C22semidirect
173. #10622403C22semidirect
174. #10622401C22semidirect
175. #10622400C22semidirect
176. #10622397C22semidirect
177. #10622396C22semidirect
178. #10622396C22semidirect
179. #10622395C22semidirect
180. #10622394C22semidirect
181. #10622393C22semidirect
182. #10622389C22semidirect
183. #10622389C22semidirect
184. #10622389C22semidirect
187. #10622384C22semidirect
188. #10622381C22semidirect
189. #10622380C22semidirect
190. #10622380C22semidirect
191. #10622352C22semidirect
192. #10622352C22semidirect
193. #10622347C22semidirect
194. #10622347C22semidirect
195. #10622342C22semidirect
196. #10622342C22semidirect
198. #10622339C22semidirect
199. C4×Dic44C22semidirect
200. #10622309C22semidirect
201. #10622301C22semidirect
202. #10622298C22semidirect
748. #3326D11semidirect
919. #553C2×D11semidirect
937. #548C2×D11semidirect
966. #488C2×D11semidirect
972. #483C2×D11semidirect
976. #482C2×D11semidirect
982. #479C2×D11semidirect
990. #469C2×D11semidirect
998. #468C2×D11semidirect
1010. #463C2×D11semidirect
1036. #449C2×D11semidirect
1044. #448C2×D11semidirect
1054. C4×SD16C2×D11semidirect
1062. #436C2×D11semidirect
1068. #419C2×D11semidirect
1072. #417C2×D11semidirect
1679. C11#61583semidirect

Maximal subgroups

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

subgroupindex
#130824452
D11×#5482
#130808832
#130808822
#130808812
#130808802
#130808722
#130808702
#130808632
#130802742
#130802702
#130802692
#130802662
#130802542
#130802532
#130802502
#130802492
#130795822
#130795792
#130794392
#130794342
#130794252
#130794172
#130787012
#130786942
#130778772
#130778652
#130778522
#130778472
#130776542
C11×#33262
#6158311