Finite Group Databasebeta

← #15626809

Subgroups — #15626809

Order 2816.

1822 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082000C211yesmaximal, characteristic, complemented
2D11×#542C211yesmaximal, characteristic, complemented
3#13080088C211yesmaximal, characteristic, complemented
4#13080086C211yesmaximal, characteristic, complemented
5#13080083C211yesmaximal, characteristic, complemented
6#13080080C211yesmaximal, characteristic, complemented
7#13080076C211yesmaximal, characteristic, complemented
8#13080074C211yesmaximal, characteristic, complemented
9#13080073C211yesmaximal, characteristic, complemented
10#13080071C211yesmaximal, characteristic, complemented
11#13080048C211yesmaximal, characteristic, complemented
12#13080046C211yesmaximal, characteristic, complemented
13#13080044C211yesmaximal, characteristic, complemented
14#13080042C211yesmaximal, characteristic, complemented
15#13080025C211yesmaximal, characteristic, complemented
16#13080023C211yesmaximal, characteristic, complemented
17#13080021C211yesmaximal, characteristic, complemented
18#13078428C211yesmaximal, characteristic, complemented
19#13078424C211yesmaximal, characteristic, complemented
20#13078419C211yesmaximal, characteristic, complemented
21#13078411C211yesmaximal, characteristic, complemented
22#13078241C211yesmaximal, characteristic, complemented
23#13078239C211yesmaximal, characteristic, complemented
24#13078234C211yesmaximal, characteristic, complemented
25#13078232C211yesmaximal, characteristic, complemented
26#13078105C211yesmaximal, characteristic, complemented
27#13078105C211yesmaximal, characteristic, complemented
28#13078083C211yesmaximal, characteristic, complemented
29#13078075C211yesmaximal, characteristic, complemented
30#13077177C211yesmaximal, characteristic, complemented
31C11×#3257C211yesmaximal, characteristic, complemented
32C11×#542C2211yescharacteristic
33C11×#540C2211yescharacteristic, complemented
34C2×#66968C2211yescharacteristic
35C2×#66968C2211yescharacteristic
36C2×#66964C2211yescharacteristic
37C2×#66964C2211yescharacteristic
38C2×M16×D11C2211yescharacteristic
39C22×#4313C2211yescharacteristic
40#10623264C2211yescharacteristic
41D11×C4⋊Q8C2211yescharacteristic
42#10623250C2211yescharacteristic, complemented
43#10623247C2211yescharacteristic
44#10623241—21no—
45D11×#126—21no—
46#10623228C2211yescharacteristic, complemented
47#10623219C2211yescharacteristic
48#10623213C2211yescharacteristic
49D11×#124—21no—
50D11×#124C2211yescharacteristic
51#10623200—21no—
52#10623193—21no—
53#10623191—21no—
54#10623191—21no—
55D11×#123—21no—
56#10623180—21no—
57#10623180—21no—
58#10623174C2211yescharacteristic
59#10623171—21no—
60D11×C22⋊Q8—21no—
61D11×C22⋊Q8C2211yescharacteristic
62#10623144—21no—
63#10623144—21no—
64#10623137C2211yescharacteristic
65#10623137C2211yescharacteristic
66D11×#121C2211yescharacteristic
67#10623134C2211yescharacteristic
68#10623134C2211yescharacteristic, complemented
69#10623134C2211yescharacteristic, complemented
70#10623131—21no—
71#10623131—21no—
72#10623113C2211yescharacteristic
73C4×Q8×D11C2211yescharacteristic
74#10623092C2211yescharacteristic
75#10623092C2211yescharacteristic, complemented
76#10623092C2211yescharacteristic, complemented
77C4×D4×D11C2211yescharacteristic
78C4×#4341C2211yescharacteristic
79C4×#4341C2211yescharacteristic
80#10623065C2211yescharacteristic
81D11×#117C2211yescharacteristic
82#10623049C2211yescharacteristic, complemented
83C11×#479C2211yescharacteristic, complemented
84C11×#478C2211yescharacteristic, complemented
85C11×#476C2211yescharacteristic, complemented
86C11×#474C2211yescharacteristic, complemented
87C11×#469C2211yescharacteristic
88C11×#468C2211yescharacteristic, complemented
89C11×#466C2211yescharacteristic
90C11×#465C2211yescharacteristic, complemented
91C11×#463C2211yescharacteristic, complemented
92C11×#463C2211yescharacteristic, complemented
93C11×#460C2211yescharacteristic, complemented
94C11×#459C2211yescharacteristic, complemented
95C11×#424C2211yescharacteristic, complemented
96#10622787C2211yescharacteristic, complemented
97#10622784C2211yescharacteristic, complemented
98#10622779C2211yescharacteristic, complemented
99#10622779C2211yescharacteristic, complemented
100#10622778C2211yescharacteristic, complemented
101#10622778C2211yescharacteristic, complemented
102#10622772C2211yescharacteristic
103#10622770C2211yescharacteristic
104#10622766C2211yescharacteristic, complemented
105#10622766C2211yescharacteristic, complemented
106#10622766C2211yescharacteristic, complemented
107#10622766C2211yescharacteristic, complemented
108#10622750C2211yescharacteristic, complemented
109#10622747C2211yescharacteristic
110#10622732C2211yescharacteristic, complemented
111#10622729C2211yescharacteristic, complemented
112#10622727C2211yescharacteristic
113#10622715C2211yescharacteristic, complemented
114#10622707C2211yescharacteristic, complemented
115#10622704C2211yescharacteristic, complemented
116#10622688C2211yescharacteristic, complemented
117#10622685C2211yescharacteristic, complemented
118#10622679C2211yescharacteristic, complemented
119#10622676C2211yescharacteristic, complemented
120#10622667C2211yescharacteristic, complemented
121#10622667C2211yescharacteristic, complemented
122#10622665C2211yescharacteristic, complemented
123#10622664C2211yescharacteristic, complemented
124#10622655C2211yescharacteristic
125#10622655C2211yescharacteristic, complemented
126#10622654C2211yescharacteristic
127#10622654C2211yescharacteristic, complemented
128#10622652C2211yescharacteristic
129#10622651C2211yescharacteristic
130#10622644C2211yescharacteristic, complemented
131#10622635C2211yescharacteristic, complemented
132#10622632C2211yescharacteristic, complemented
133#10622629C2211yescharacteristic, complemented
134#10622629C2211yescharacteristic, complemented
135#10622622C2211yescharacteristic, complemented
136#10622621C2211yescharacteristic, complemented
137#10622620C2211yescharacteristic, complemented
138#10622612C2211yescharacteristic, complemented
139#10622503C2211yescharacteristic, complemented
140#10622500C2211yescharacteristic, complemented
141#10622499C2211yescharacteristic
142#10622494C2211yescharacteristic
143#10622494C2211yescharacteristic
144#10622488C2211yescharacteristic, complemented
145#10622488C2211yescharacteristic, complemented
146#10622488C2211yescharacteristic, complemented
147#10622483C2211yescharacteristic, complemented
148#10622481C2211yescharacteristic, complemented
149#10622477C2211yescharacteristic
150#10622474C2211yescharacteristic
151#10622474C2211yescharacteristic
152#10622467C2211yescharacteristic, complemented
153#10622467C2211yescharacteristic, complemented
154#10622467C2211yescharacteristic, complemented
155#10622464C2211yescharacteristic, complemented
156#10622463C2211yescharacteristic, complemented
157#10622462C2211yescharacteristic, complemented
158#10622460C2211yescharacteristic, complemented
159#10622458C2211yescharacteristic, complemented
160#10622458C2211yescharacteristic, complemented
161#10622454C2211yescharacteristic, complemented
162#10622452C2211yescharacteristic, complemented
163#10622452C2211yescharacteristic, complemented
164#10622452C2211yescharacteristic, complemented
165#10622452C2211yescharacteristic, complemented
166#10622450C2211yescharacteristic
167#10622450C2211yescharacteristic
168#10622450C2211yescharacteristic
169#10622450C2211yescharacteristic
170#10622442C2211yescharacteristic, complemented
171#10622429C2211yescharacteristic, complemented
172#10622426C2211yescharacteristic, complemented
173#10622415C2211yescharacteristic
174#10622415C2211yescharacteristic
175#10622411C2211yescharacteristic, complemented
176#10622411C2211yescharacteristic, complemented
177#10622407C2211yescharacteristic, complemented
178#10622404C2211yescharacteristic, complemented
179#10622400C2211yescharacteristic, complemented
180#10622400C2211yescharacteristic, complemented
181#10622395C2211yescharacteristic
182#10622393C2211yescharacteristic
183#10622393C2211yescharacteristic, complemented
184#10622391C2211yescharacteristic
185#10622391C2211yescharacteristic, complemented
186#10622388C2211yescharacteristic
187#10622384C2211yescharacteristic
188#10622384C2211yescharacteristic
189#10622384C2211yescharacteristic
190#10622384C2211yescharacteristic
191#10622383C2211yescharacteristic
192#10622383C2211yescharacteristic
193#10622380C2211yescharacteristic, complemented
194#10622380C2211yescharacteristic, complemented
195#10622380C2211yescharacteristic, complemented
196#10622380C2211yescharacteristic, complemented
197#10622374C2211yescharacteristic, complemented
198#10622374C2211yescharacteristic, complemented
199#10622374C2211yescharacteristic, complemented
200#10622372C2211yescharacteristic, complemented
201#10622372C2211yescharacteristic, complemented
202#10622372C2211yescharacteristic, complemented
203C2×Q8×D11—21no—
204C2×Q8×D11C2311yescharacteristic
205C2×#4341C2311yescharacteristic
206C2×#4341C2311yescharacteristic
207C2×D4×D11—21no—
208C2×D4×D11C2311yescharacteristic
209C22×C4×D11—21no—
210C22×C4×D11C2311yescharacteristic
211C2×C11×SD16C2311yescharacteristic
212C2×C11×SD16C2311yescharacteristic
213C2×C11×D8C2311yescharacteristic
214C2×C11×D8C2311yescharacteristic
215C2×C11×M16C2311yescharacteristic
216C22×C8×C11C2311yescharacteristic
217C11×C4⋊Q8C2311yescharacteristic
218C11×#127C2311yescharacteristic
219C11×#126—21no—
220C11×#125C2311yescharacteristic
221C11×#124—21no—
222C11×#124C2311yescharacteristic
223C11×#123—21no—
224C11×#123—21no—
225C11×#123—21no—
226C11×C22⋊Q8—21no—
227C11×C22⋊Q8C2311yescharacteristic
228C11×#121—21no—
229C11×#121—21no—
230C11×#121C2311yescharacteristic
231C11×#121C2311yescharacteristic
232C11×#121C2311yescharacteristic
233C4×Q8×C11C2311yescharacteristic
234C4×D4×C11C2311yescharacteristic
235C4×D4×C11C2311yescharacteristic
236C4×D4×C11C2311yescharacteristic
237C11×#117C2311yescharacteristic
238#67000—21no—
239#67000C2311yescharacteristic
240#66999—21no—
241#66999C2311yescharacteristic
242Q8×Dic11C2311yescharacteristic
243#66997—21no—
244C2×#4326C2311yescharacteristic
245C2×#4326C2311yescharacteristic
246#66992—21no—
247#66992—21no—
248#66992—21no—
249#66991—21no—
250#66991—21no—
251#66991C2311yescharacteristic
252#66991C2311yescharacteristic
253#66991C2311yescharacteristic
254#66990—21no—
255#66990—21no—
256#66989—21no—
257#66989—21no—
258#66989—21no—
259#66989C2311yescharacteristic
260#66989C2311yescharacteristic
261#66989C2311yescharacteristic
262#66988—21no—
263#66988—21no—
264#66988—21no—
265#66988—21no—
266#66988—21no—
267D4×Dic11—21no—
268D4×Dic11—21no—
269D4×Dic11—21no—
270D4×Dic11—21no—
271D4×Dic11C2311yescharacteristic
272D4×Dic11C2311yescharacteristic
273D4×Dic11C2311yescharacteristic
274C2×#4324C2311yescharacteristic
275C2×#4324C2311yescharacteristic
276C2×#4324C2311yescharacteristic
277C2×#4324C2311yescharacteristic
278C2×#4323C2311yescharacteristic
279C2×#4323C2311yescharacteristic
280#66983C2311yescharacteristic
281#66982—21no—
282#66982—21no—
283#66982—21no—
284C4×C22⋊D11—21no—
285C4×C22⋊D11—21no—
286C4×C22⋊D11—21no—
287#66979C2311yescharacteristic
288#66977—21no—
289#66977—21no—
290#66977—21no—
291#66977C2311yescharacteristic
292#66977C2311yescharacteristic
293#66977C2311yescharacteristic
294C2×C4×Dic11—21no—
295C2×C4×Dic11—21no—
296C2×#4318C2311yescharacteristic
297C22×C11⋊C8C2311yescharacteristic
298#66968—42no—
299#66968—42no—
300#66964—42no—
301#66964—42no—
302M16×D11—42no—
303C2×Dic44C2311yescharacteristic
304C2×Dic44C2311yescharacteristic
305C2×#4314C2311yescharacteristic
306C2×#4314C2311yescharacteristic
307C2×#4313—42no—
308C2×#4313C2311yescharacteristic
309C2×#4313C2311yescharacteristic
310C2×#4313C2311yescharacteristic
311C2×#4313C2311yescharacteristic
312C2×#4313C2311yescharacteristic
313C2×#4313C2311yescharacteristic
314C2×C8×D11C2311yescharacteristic
315C2×C8×D11C2311yescharacteristic
316#66951—21no—
317#66951—21no—
318#66951—21no—
319#66951—21no—
320#66951—21no—
321#66950—21no—
322#66950C2311yescharacteristic
323#66950C2311yescharacteristic
324#66950C2311yescharacteristic
325#66949—21no—
326#66949—21no—
327#66949—21no—
328#66949—21no—
329#66949—21no—
330#66948C2311yescharacteristic
331#66947—21no—
332#66947—21no—
333#66946C2311yescharacteristic
334#66945D411yescharacteristic
335#66945D411yescharacteristic
336#66945C2311yescharacteristic
337#66945C2311yescharacteristic
338C4⋊C4×D11—21no—
339C4⋊C4×D11—21no—
340C4⋊C4×D11—21no—
341C4⋊C4×D11D411yescharacteristic
342C4⋊C4×D11D411yescharacteristic
343C4⋊C4×D11C2311yescharacteristic
344C4⋊C4×D11C2311yescharacteristic
345#66943—21no—
346#66943—21no—
347#66942—21no—
348#66942—21no—
349#66941—21no—
350#66941C2311yescharacteristic
351#66941C2311yescharacteristic
352#66941C2311yescharacteristic
353#66941C2311yescharacteristic
354#66940—21no—
355#66940—21no—
356#66940—21no—
357#66940C2311yescharacteristic
358#66940C2311yescharacteristic
359#66940C2311yescharacteristic
360#66939—21no—
361#66938—21no—
362#66938—21no—
363#66938—21no—
364#66938—21no—
365#66938—21no—
366#66938—21no—
367#66938—21no—
368#66938—21no—
369#66937—21no—
370#66936—21no—
371#66936—21no—
372#66936—21no—
373#66936—21no—
374(C22⋊D11)⋊C4—21no—
375(C22⋊D11)⋊C4—21no—
376(C22⋊D11)⋊C4—21no—
377(C22⋊D11)⋊C4—21no—
378(C22⋊D11)⋊C4—21no—
379C22⋊C4×D11—21no—
380C22⋊C4×D11—21no—
381C22⋊C4×D11—21no—
382C22⋊C4×D11—21no—
383C22⋊C4×D11—21no—
384C22⋊C4×D11D411yescharacteristic
385C22⋊C4×D11D411yescharacteristic
386#66932—21no—
387#66932—21no—
388#66932—21no—
389#66932—21no—
390#66932—21no—
391#66932—21no—
392#66932—21no—
393#66932—21no—
394#66932—21no—
395#66931—21no—
396#66931—21no—
397#66931—21no—
398#66931—21no—
399#66931—21no—
400#66930—21no—
401#66930—21no—
402#66930D411yescharacteristic
403#66930D411yescharacteristic
404#66929—21no—
405#66928—21no—
406#66928C2311yescharacteristic
407C4×D44C2311yescharacteristic
408#66925C2311yescharacteristic
409#66925C2311yescharacteristic
410C42×D11—21no—
411C42×D11C2311yescharacteristic
412C42×D11C2311yescharacteristic
413#66923C2311yescharacteristic
414#66922C2311yescharacteristic
415#66922C2311yescharacteristic
416C4×Dic22—21no—
417C4×Dic22C2311yescharacteristic
418C4×Dic22C2311yescharacteristic
419C4×Dic22C2311yescharacteristic
420C11×#107C2311yescharacteristic
421C11×#107C2311yescharacteristic
422C11×#106C2311yescharacteristic
423C11×#106C2311yescharacteristic
424C11×C4⋊C8C2311yescharacteristic
425C11×C4⋊C8C2311yescharacteristic
426C11×C4⋊C8C2311yescharacteristic
427C11×C4⋊C8C2311yescharacteristic
428C11×#103C2311yescharacteristic
429C11×#103C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×#102C2311yescharacteristic
434C11×#102C2311yescharacteristic
435C11×#102C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66896C2311yescharacteristic
439#66896C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66885C2311yescharacteristic
445#66885C2311yescharacteristic
446#66882C2311yescharacteristic
447#66882C2311yescharacteristic
448#66881C2311yescharacteristic
449#66881C2311yescharacteristic
450#66880C2311yescharacteristic
451#66880C2311yescharacteristic
452#66880C2311yescharacteristic
453#66880C2311yescharacteristic
454#66880C2311yescharacteristic
455#66880C2311yescharacteristic
456Dic11⋊C8C2311yescharacteristic
457Dic11⋊C8C2311yescharacteristic
458Dic11⋊C8C2311yescharacteristic
459Dic11⋊C8C2311yescharacteristic
460Dic11⋊C8C2311yescharacteristic
461Dic11⋊C8C2311yescharacteristic
462Dic11⋊C8C2311yescharacteristic
463Dic11⋊C8C2311yescharacteristic
464#66874C2311yescharacteristic
465#66874C2311yescharacteristic
466#66874C2311yescharacteristic
467#66874C2311yescharacteristic
468#66874C2311yescharacteristic
469#66874C2311yescharacteristic
470#66873C2311yescharacteristic
471#66873C2311yescharacteristic
472#66872C2311yescharacteristic
473#66872C2311yescharacteristic
474#66872C2311yescharacteristic
475#66872C2311yescharacteristic
476#66871C2311yescharacteristic
477#66871C2311yescharacteristic
478#66871C2311yescharacteristic
479#66871C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481C4⋊(C11⋊C8)C2311yescharacteristic
482C4⋊(C11⋊C8)C2311yescharacteristic
483C4⋊(C11⋊C8)C2311yescharacteristic
484#60919—111nomaximal, Sylow
485C23×D11—21no—
486C23×D11C2×D411yescharacteristic
487C2×Q8×C11—21no—
488C2×Q8×C11C2411yescharacteristic
489C2×D4×C11—21no—
490C2×D4×C11—21no—
491C2×D4×C11—21no—
492C2×D4×C11—21no—
493C2×D4×C11—21no—
494C2×D4×C11C2411yescharacteristic
495C2×D4×C11C2411yescharacteristic
496C2×D4×C11C2411yescharacteristic
497C22×C4×C11—21no—
498C22×C4×C11—21no—
499C22×C4×C11—21no—
500C22×C4×C11C2411yescharacteristic
501C2×C22⋊D11—21no—
502C2×C22⋊D11—21no—
503C2×C22⋊D11—21no—
504C2×C22⋊D11—21no—
505C2×C22⋊D11—21no—
506C2×C22⋊D11—21no—
507C2×C22⋊D11—21no—
508C22×Dic11—21no—
509C22×Dic11—21no—
510C22×Dic11—21no—
511C22×Dic11—21no—
512C22×Dic11—21no—
513C22×Dic11C2×D411yescharacteristic
514Q8×D11—22no—
515Q8×D11—22no—
516Q8×D11—82no—
517#4341—22no—
518#4341—22no—
519#4341—22no—
520#4341—22no—
521D4×D11—22no—
522D4×D11—22no—
523D4×D11—82no—
524C2×D44—21no—
525C2×D44C2411yescharacteristic
526C2×C4×D11—22no—
527C2×C4×D11—22no—
528C2×C4×D11—21no—
529C2×C4×D11—21no—
530C2×C4×D11—21no—
531C2×C4×D11—21no—
532C2×C4×D11—21no—
533C2×C4×D11—82no—
534C2×C4×D11C2×D411yescharacteristic
535C2×C4×D11C2×D411yescharacteristic
536C2×C4×D11C2×D411yescharacteristic
537C2×C4×D11C2×D411yescharacteristic
538C2×C4×D11C2×D411yescharacteristic
539C2×C4×D11C2×D411yescharacteristic
540C2×C4×D11C2411yescharacteristic
541C2×C4×D11C2411yescharacteristic
542C2×Dic22—21no—
543C2×Dic22—21no—
544C2×Dic22—21no—
545C2×Dic22—21no—
546C2×Dic22—21no—
547C2×Dic22—21no—
548C2×Dic22C2411yescharacteristic
549C2×Dic22C2411yescharacteristic
550C2×Dic22C2411yescharacteristic
551C11×SD16—41no—
552C11×SD16—41no—
553C11×D8—41no—
554C11×D8—41no—
555C11×M16—41no—
556C2×C8×C11—41no—
557C2×C8×C11C2411yescharacteristic
558C2×C8×C11C2411yescharacteristic
559C2×C8×C11C2411yescharacteristic
560C2×C8×C11C2411yescharacteristic
561C11×C4⋊C4—21no—
562C11×C4⋊C4—21no—
563C11×C4⋊C4—21no—
564C11×C4⋊C4—21no—
565C11×C4⋊C4—21no—
566C11×C4⋊C4C2×D411yescharacteristic
567C11×C4⋊C4C2×D411yescharacteristic
568C11×C4⋊C4C2411yescharacteristic
569C11×C4⋊C4C2411yescharacteristic
570C11×C4⋊C4C2411yescharacteristic
571C11×C4⋊C4C2411yescharacteristic
572C11×C22⋊C4—21no—
573C11×C22⋊C4—21no—
574C11×C22⋊C4—21no—
575C11×C22⋊C4—21no—
576C11×C22⋊C4—21no—
577C11×C22⋊C4—21no—
578C11×C22⋊C4—21no—
579C11×C22⋊C4—21no—
580C11×C22⋊C4—21no—
581C11×C22⋊C4C2×D411yescharacteristic
582C11×C22⋊C4C2×D411yescharacteristic
583C42×C11—21no—
584C42×C11C2411yescharacteristic
585C42×C11C2411yescharacteristic
586C22⋊Dic11—21no—
587C22⋊Dic11—21no—
588C22⋊Dic11—21no—
589C22⋊Dic11—21no—
590C22⋊Dic11—21no—
591C22⋊Dic11—21no—
592C22⋊Dic11—21no—
593C22⋊Dic11—21no—
594C22⋊Dic11—21no—
595C22⋊Dic11—21no—
596C22⋊Dic11—21no—
597C22⋊Dic11—21no—
598C22⋊Dic11—21no—
599C22⋊Dic11—21no—
600C22⋊Dic11—21no—
601C22⋊Dic11C2×D411yescharacteristic
602C22⋊Dic11C2×D411yescharacteristic
603#4326—41no—
604#4326—41no—
605#4324—41no—
606#4324—41no—
607#4324—41no—
608#4324—41no—
609#4323—41no—
610#4323—41no—
611(C2×D11)⋊C4—21no—
612(C2×D11)⋊C4—21no—
613(C2×D11)⋊C4—21no—
614(C2×D11)⋊C4—21no—
615(C2×D11)⋊C4—21no—
616(C2×D11)⋊C4—21no—
617(C2×D11)⋊C4—21no—
618(C2×D11)⋊C4—21no—
619(C2×D11)⋊C4—21no—
620(C2×D11)⋊C4—21no—
621(C2×D11)⋊C4—21no—
622(C2×D11)⋊C4—21no—
623(C2×D11)⋊C4—21no—
624(C2×D11)⋊C4—21no—
625(C2×D11)⋊C4C2×D411yescharacteristic
626(C2×D11)⋊C4C2×D411yescharacteristic
627(C2×D11)⋊C4C2×D411yescharacteristic
628(C2×D11)⋊C4C2×D411yescharacteristic
629C4⋊Dic11—21no—
630C4⋊Dic11—21no—
631C4⋊Dic11—21no—
632C4⋊Dic11—21no—
633C4⋊Dic11—21no—
634C4⋊Dic11—21no—
635C4⋊Dic11—21no—
636C4⋊Dic11C2×D411yescharacteristic
637C4⋊Dic11C2×D411yescharacteristic
638C4⋊Dic11C2411yescharacteristic
639C4⋊Dic11C2411yescharacteristic
640C4⋊Dic11C2411yescharacteristic
641C4⋊Dic11C2411yescharacteristic
642Dic11⋊C4—21no—
643Dic11⋊C4—21no—
644Dic11⋊C4—21no—
645Dic11⋊C4—21no—
646Dic11⋊C4—21no—
647Dic11⋊C4—21no—
648Dic11⋊C4—21no—
649Dic11⋊C4—21no—
650Dic11⋊C4—21no—
651Dic11⋊C4—21no—
652Dic11⋊C4—21no—
653Dic11⋊C4—21no—
654Dic11⋊C4—21no—
655Dic11⋊C4—21no—
656Dic11⋊C4—21no—
657Dic11⋊C4—21no—
658Dic11⋊C4—21no—
659Dic11⋊C4—21no—
660Dic11⋊C4C2×D411yescharacteristic
661Dic11⋊C4C2×D411yescharacteristic
662Dic11⋊C4C2×D411yescharacteristic
663Dic11⋊C4C2×D411yescharacteristic
664C4×Dic11—21no—
665C4×Dic11—21no—
666C4×Dic11—21no—
667C4×Dic11—21no—
668C4×Dic11—21no—
669C4×Dic11—21no—
670C4×Dic11—21no—
671C4×Dic11—21no—
672C4×Dic11—21no—
673C4×Dic11C2×D411yescharacteristic
674C4×Dic11C2×D411yescharacteristic
675C4×Dic11C2×D411yescharacteristic
676C4×Dic11C2×D411yescharacteristic
677C4×Dic11C2411yescharacteristic
678C4×Dic11C2411yescharacteristic
679#4318—41no—
680C2×C11⋊C8—41no—
681C2×C11⋊C8C2411yescharacteristic
682C2×C11⋊C8C2411yescharacteristic
683C2×C11⋊C8C2411yescharacteristic
684C2×C11⋊C8C2411yescharacteristic
685Dic44—41no—
686Dic44—41no—
687#4314—41no—
688#4314—41no—
689#4313—22no—
690#4313—22no—
691#4313—22no—
692#4313—22no—
693#4313—41no—
694#4313—41no—
695C8×D11—41no—
696C8×D11—41no—
697#3455—111no—
698C2×#542—111no—
699#3263—111no—
700#3263—111no—
701#3263—111no—
702#3263—111no—
703#3262—111no—
704#3262—111no—
705#3262—111no—
706#3262—111no—
707#3258—111no—
708#3258—111no—
709#3258—111no—
710#3258—111no—
711#3257—111no—
712#3257—111no—
713#3257—111no—
714#3257D1111yescharacteristic, complemented
715#3079—111no—
716#3079—111no—
717#3078—111no—
718#3077—111no—
719#3056—111no—
720#3056—111no—
721#3055—111no—
722#3055—111no—
723#3040—111no—
724#3040—111no—
725#3037—111no—
726#3036—111no—
727#2905—111no—
728C23×C11—21no—
729C23×C11—21no—
730C23×C11—21no—
731C23×C11C22×D411yescharacteristic
732C22×D11—22no—
733C22×D11—21no—
734C22×D11—41no—
735C22×D11—41no—
736C22×D11—42no—
737C22×D11—42no—
738C22×D11—42no—
739C22×D11C22×D411yescharacteristic
740C22×D11C22×D411yescharacteristic
741Q8×C11—21no—
742Q8×C11—21no—
743Q8×C11—81no—
744D4×C11—21no—
745D4×C11—21no—
746D4×C11—21no—
747D4×C11—21no—
748D4×C11—21no—
749D4×C11—21no—
750D4×C11—81no—
751D4×C11—81no—
752D4×C11—81no—
753D4×C11—81no—
754D4×C11—81no—
755C2×C4×C11—21no—
756C2×C4×C11—21no—
757C2×C4×C11—21no—
758C2×C4×C11—21no—
759C2×C4×C11—21no—
760C2×C4×C11—21no—
761C2×C4×C11—21no—
762C2×C4×C11—81no—
763C2×C4×C11—81no—
764C2×C4×C11—81no—
765C2×C4×C11C22×D411yescharacteristic
766C2×C4×C11C22×D411yescharacteristic
767C2×C4×C11C22×D411yescharacteristic
768C2×C4×C11C22×D411yescharacteristic
769C2×C4×C11C22×D411yescharacteristic
770C2×C4×C11C2511yescharacteristic
771C22⋊D11—42no—
772C22⋊D11—42no—
773C22⋊D11—42no—
774C22⋊D11—81no—
775C22⋊D11—81no—
776C22⋊D11—81no—
777C22⋊D11—81no—
778C2×Dic11—22no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—42no—
787C2×Dic11—42no—
788C2×Dic11—81no—
789C2×Dic11—81no—
790C2×Dic11—81no—
791C2×Dic11C22×D411yescharacteristic
792C2×Dic11C22×D411yescharacteristic
793C2×Dic11C22×D411yescharacteristic
794C2×Dic11C22×D411yescharacteristic
795C2×Dic11C22×D411yescharacteristic
796C2×Dic11C22×D411yescharacteristic
797D44—21no—
798D44—21no—
799D44—81no—
800C4×D11—22no—
801C4×D11—21no—
802C4×D11—21no—
803C4×D11—22no—
804C4×D11—41no—
805C4×D11—41no—
806C4×D11—41no—
807C4×D11—41no—
808C4×D11—42no—
809C4×D11—42no—
810C4×D11—42no—
811C4×D11—81no—
812C4×D11—81no—
813C4×D11H(5,𝔽2)12yes—
814C4×D112−1+412yes—
815Dic22—21no—
816Dic22—21no—
817Dic22—21no—
818Dic22—21no—
819Dic22—21no—
820Dic22—21no—
821Dic22—42no—
822Dic22—81no—
823Dic22—81no—
824Dic22—81no—
825Dic22—81no—
826Dic22—81no—
827C8×C11—21no—
828C8×C11—21no—
829C8×C11—21no—
830C8×C11—21no—
831C11⋊C8—21no—
832C11⋊C8—21no—
833C11⋊C8—21no—
834C11⋊C8—21no—
835C2×#137—111no—
836C2×#137—111no—
837C2×AGL(1,ℤ/8)—111no—
838C2×AGL(1,ℤ/8)—111no—
839C22×M16—111no—
840C22×M16—111no—
841#542—111no—
842#542—111no—
843#542—111no—
844#542—111no—
845#542—111no—
846#542—111no—
847#542—111no—
848#542—111no—
849#542—111no—
850#542—111no—
851#542—111no—
852#542—221no—
853#542—221no—
854#542—221no—
855#542—221no—
856#542C2×D1111yescharacteristic
857#541—111no—
858#541—111no—
859#540—111no—
860#540C2×D1111yescharacteristic, complemented
861#539—221no—
862#539—221no—
863#538—221no—
864#538—221no—
865#533—111no—
866#532—111no—
867C2×C4⋊Q8—111no—
868#529—221no—
869#529—221no—
870#529—221no—
871#529—221no—
872C2×#126—221no—
873C2×#124—111no—
874C2×#124—221no—
875#525—111no—
876#525—111no—
877C2×#123—221no—
878C2×C22⋊Q8—111no—
879C2×C22⋊Q8—221no—
880C2×#121—111no—
881C4×#41—111no—
882C4×#41—111no—
883C2×C4×Q8—111no—
884C2×C4×D4—111no—
885C2×#117—111no—
886#479—111no—
887#479—111no—
888#479—111no—
889#479C2×D1111yescharacteristic, complemented
890#478—111no—
891#478—111no—
892#478—111no—
893#478C2×D1111yescharacteristic, complemented
894#477—111no—
895#477—111no—
896#477—111no—
897#477—111no—
898#477—111no—
899#477—111no—
900#476—111no—
901#476—111no—
902#476—111no—
903#476—111no—
904#476—111no—
905#476C2×D1111yescharacteristic, complemented
906#475—111no—
907#475—111no—
908#475—111no—
909#475—111no—
910#475—111no—
911#475—111no—
912#474—111no—
913#474—111no—
914#474—111no—
915#474—111no—
916#474—111no—
917#474C2×D1111yescharacteristic, complemented
918#470—111no—
919#470—111no—
920#470—111no—
921#470—111no—
922#469—111no—
923#469—111no—
924#469—111no—
925#469C2×D1111yescharacteristic
926#468—111no—
927#468—111no—
928#468—111no—
929#468—111no—
930#468—111no—
931#468—111no—
932#468—111no—
933#468C2×D1111yescharacteristic, complemented
934#467—111no—
935#467—111no—
936#467—111no—
937#467—111no—
938#466—111no—
939#466—111no—
940#466—111no—
941#466C2×D1111yescharacteristic
942#465—111no—
943#465—111no—
944#465—111no—
945#465—111no—
946#465—111no—
947#465—111no—
948#465—111no—
949#465C2×D1111yescharacteristic, complemented
950#464—111no—
951#464—111no—
952#464—111no—
953#464—111no—
954#464—111no—
955#464—111no—
956#464—111no—
957#464—111no—
958#464—111no—
959#464—111no—
960#464—111no—
961#464—111no—
962#463—111no—
963#463—111no—
964#463—111no—
965#463—111no—
966#463—111no—
967#463—111no—
968#463—111no—
969#463—111no—
970#463—111no—
971#463—111no—
972#463C2×D1111yescharacteristic, complemented
973#463C2×D1111yescharacteristic, complemented
974#462—111no—
975#462—111no—
976#461—111no—
977#461—111no—
978#460—111no—
979#460C2×D1111yescharacteristic, complemented
980#459—111no—
981#459C2×D1111yescharacteristic, complemented
982#428—111no—
983#428—111no—
984#428—111no—
985#428—111no—
986#424—111no—
987#424—111no—
988#424—111no—
989#424—111no—
990#424—111no—
991#424—111no—
992#424—111no—
993#424C2×D1111yescharacteristic, complemented
994#423—111no—
995#423—111no—
996#423—111no—
997#423—111no—
998#419—111no—
999#419—111no—
1000#418—111no—
1001#418—111no—
1002#417—111no—
1003#417—111no—
1004#417—111no—
1005#417—111no—
1006C22×C11—21no—
1007C22×C11—21no—
1008C22×C11—21no—
1009C22×C11—41no—
1010C22×C11—41no—
1011C22×C11—41no—
1012C22×C11—41no—
1013C22×C11—41no—
1014C22×C11—41no—
1015C22×C11—41no—
1016C22×C11—41no—
1017C22×C11—41no—
1018C22×C11C23×D411yescharacteristic
1019C2×D11—21no—
1020C2×D11—21no—
1021C2×D11—21no—
1022C2×D11—21no—
1023C2×D11—21no—
1024C2×D11—41no—
1025C2×D11—41no—
1026C2×D11—41no—
1027C2×D11—82no—
1028C2×D11—84no—
1029C2×D11#53712yes—
1030C4×C11—21no—
1031C4×C11—21no—
1032C4×C11—21no—
1033C4×C11—21no—
1034C4×C11—21no—
1035C4×C11—41no—
1036C4×C11—41no—
1037C4×C11—41no—
1038C4×C11—41no—
1039C4×C11—41no—
1040C4×C11C2×H(5,𝔽2)11yescharacteristic
1041C4×C11C2×2−1+411yescharacteristic
1042Dic11—21no—
1043Dic11—21no—
1044Dic11—21no—
1045Dic11—21no—
1046Dic11—21no—
1047Dic11—41no—
1048Dic11—41no—
1049Dic11—41no—
1050Dic11—41no—
1051Dic11—41no—
1052Dic11—41no—
1053Dic11—41no—
1054Dic11#53712yes—
1055C2×#41—111no—
1056C2×#41—111no—
1057C22×Q8—111no—
1058C22×Q8—221no—
1059C22×D4—111no—
1060C22×D4—221no—
1061C23×C4—111no—
1062C23×C4—221no—
1063#137—442no—
1064#137—442no—
1065AGL(1,ℤ/8)—442no—
1066AGL(1,ℤ/8)—442no—
1067C2×Q16—111no—
1068C2×Q16—111no—
1069C2×Q16—111no—
1070C2×Q16—111no—
1071C2×SD16—111no—
1072C2×SD16—111no—
1073C2×SD16—111no—
1074C2×SD16—111no—
1075C2×SD16—111no—
1076C2×SD16—111no—
1077C2×SD16C22×D1111yescharacteristic
1078C2×SD16C22×D1111yescharacteristic
1079C2×D8—111no—
1080C2×D8—111no—
1081C2×D8C22×D1111yescharacteristic
1082C2×D8C22×D1111yescharacteristic
1083C2×M16—111no—
1084C2×M16—111no—
1085C2×M16—111no—
1086C2×M16—111no—
1087C2×M16—111no—
1088C2×M16—111no—
1089C2×M16—111no—
1090C2×M16—442no—
1091C2×M16—442no—
1092C2×M16C22×D1111yescharacteristic
1093C22×C8—111no—
1094C22×C8—111no—
1095C22×C8—111no—
1096C22×C8C22×D1111yescharacteristic
1097C4⋊Q8—111no—
1098C4⋊Q8—111no—
1099C4⋊Q8—111no—
1100C4⋊Q8—111no—
1101C4⋊Q8—111no—
1102C4⋊Q8—111no—
1103C4⋊Q8—221no—
1104C4⋊Q8—221no—
1105C4⋊Q8C22×D1111yescharacteristic
1106#127C22×D1111yescharacteristic
1107#126—21no—
1108#126—221no—
1109#126—221no—
1110#126—221no—
1111#126—221no—
1112#126—221no—
1113#126—221no—
1114#126—221no—
1115#126—221no—
1116#126—221no—
1117#126—221no—
1118#126—221no—
1119#126—221no—
1120#126—221no—
1121#126—221no—
1122#126—221no—
1123#125—111no—
1124#125—221no—
1125#125—221no—
1126#125—221no—
1127#125—221no—
1128#125C22×D1111yescharacteristic
1129#124—21no—
1130#124—111no—
1131#124—111no—
1132#124—111no—
1133#124—111no—
1134#124—111no—
1135#124—221no—
1136#124—221no—
1137#124—221no—
1138#124—221no—
1139#124—221no—
1140#124—221no—
1141#124—221no—
1142#124—221no—
1143#124—221no—
1144#124—221no—
1145#124—221no—
1146#124—221no—
1147#124—221no—
1148#124C22×D1111yescharacteristic
1149#123—21no—
1150#123—21no—
1151#123—21no—
1152#123—221no—
1153#123—221no—
1154#123—221no—
1155#123—221no—
1156#123—221no—
1157#123—221no—
1158#123—221no—
1159#123—221no—
1160#123—221no—
1161#123—221no—
1162#123—221no—
1163#123—221no—
1164#123—221no—
1165#123—221no—
1166#123—221no—
1167C22⋊Q8—21no—
1168C22⋊Q8—111no—
1169C22⋊Q8—111no—
1170C22⋊Q8—111no—
1171C22⋊Q8—111no—
1172C22⋊Q8—111no—
1173C22⋊Q8—111no—
1174C22⋊Q8—111no—
1175C22⋊Q8—221no—
1176C22⋊Q8—221no—
1177C22⋊Q8—221no—
1178C22⋊Q8—221no—
1179C22⋊Q8—221no—
1180C22⋊Q8—221no—
1181C22⋊Q8—221no—
1182C22⋊Q8—221no—
1183C22⋊Q8—221no—
1184C22⋊Q8—221no—
1185C22⋊Q8—221no—
1186C22⋊Q8—221no—
1187C22⋊Q8—221no—
1188C22⋊Q8—221no—
1189C22⋊Q8—221no—
1190C22⋊Q8C22×D1111yescharacteristic
1191#121—21no—
1192#121—21no—
1193#121—111no—
1194#121—111no—
1195#121—111no—
1196#121—111no—
1197#121—111no—
1198#121—221no—
1199#121—221no—
1200#121—221no—
1201#121—221no—
1202#121—221no—
1203#121—221no—
1204#121C22×D1111yescharacteristic
1205#121C22×D1111yescharacteristic
1206#121C22×D1111yescharacteristic
1207#120—221no—
1208#120—221no—
1209C4×Q8—111no—
1210C4×Q8—111no—
1211C4×Q8—111no—
1212C4×Q8—111no—
1213C4×Q8—111no—
1214C4×Q8—111no—
1215C4×Q8—111no—
1216C4×Q8—221no—
1217C4×Q8—221no—
1218C4×Q8—221no—
1219C4×Q8—221no—
1220C4×Q8C22×D1111yescharacteristic
1221C4×D4—111no—
1222C4×D4—111no—
1223C4×D4—111no—
1224C4×D4—111no—
1225C4×D4—111no—
1226C4×D4—221no—
1227C4×D4—221no—
1228C4×D4—221no—
1229C4×D4—221no—
1230C4×D4—221no—
1231C4×D4—221no—
1232C4×D4—221no—
1233C4×D4—221no—
1234C4×D4—221no—
1235C4×D4—221no—
1236C4×D4—221no—
1237C4×D4—221no—
1238C4×D4C22×D1111yescharacteristic
1239C4×D4C22×D1111yescharacteristic
1240C4×D4C22×D1111yescharacteristic
1241#117—111no—
1242#117—111no—
1243#117—111no—
1244#117—111no—
1245#117—111no—
1246#117—111no—
1247#117—111no—
1248#117—111no—
1249#117—111no—
1250#117—221no—
1251#117—221no—
1252#117C22×D1111yescharacteristic
1253C2×C4⋊C4—111no—
1254C2×C4⋊C4—111no—
1255C2×C4⋊C4—111no—
1256C2×C4⋊C4—111no—
1257C2×C4⋊C4—221no—
1258C2×C4⋊C4—221no—
1259C2×C4⋊C4—221no—
1260C2×C22⋊C4—111no—
1261C2×C22⋊C4—111no—
1262C2×C22⋊C4—221no—
1263C2×C22⋊C4—221no—
1264C2×C22⋊C4—221no—
1265C2×C22⋊C4—221no—
1266C2×C22⋊C4—221no—
1267C2×C42—111no—
1268C2×C42—111no—
1269C2×C42—221no—
1270C2×C42—221no—
1271C2×C42—221no—
1272#107—111no—
1273#107—111no—
1274#107—111no—
1275#107—111no—
1276#107—111no—
1277#107—111no—
1278#107C22×D1111yescharacteristic
1279#107C22×D1111yescharacteristic
1280#106—111no—
1281#106—111no—
1282#106—111no—
1283#106—111no—
1284#106—111no—
1285#106—111no—
1286#106C22×D1111yescharacteristic
1287#106C22×D1111yescharacteristic
1288C4⋊C8—111no—
1289C4⋊C8—111no—
1290C4⋊C8—111no—
1291C4⋊C8—111no—
1292C4⋊C8—111no—
1293C4⋊C8—111no—
1294C4⋊C8—111no—
1295C4⋊C8—111no—
1296C4⋊C8—111no—
1297C4⋊C8—111no—
1298C4⋊C8—111no—
1299C4⋊C8—111no—
1300C4⋊C8C22×D1111yescharacteristic
1301C4⋊C8C22×D1111yescharacteristic
1302C4⋊C8C22×D1111yescharacteristic
1303C4⋊C8C22×D1111yescharacteristic
1304#103—111no—
1305#103—111no—
1306#103—111no—
1307#103—111no—
1308#103—111no—
1309#103—111no—
1310#103—111no—
1311#103—111no—
1312#103—111no—
1313#103—111no—
1314#103—111no—
1315#103—111no—
1316#103—111no—
1317#103—111no—
1318#103C22×D1111yescharacteristic
1319#103C22×D1111yescharacteristic
1320#102—111no—
1321#102—111no—
1322#102—111no—
1323#102—111no—
1324#102—111no—
1325#102—111no—
1326#102—111no—
1327#102—111no—
1328#102—111no—
1329#102—111no—
1330#102C22×D1111yescharacteristic
1331#102C22×D1111yescharacteristic
1332#102C22×D1111yescharacteristic
1333#102C22×D1111yescharacteristic
1334#102C22×D1111yescharacteristic
1335#102C22×D1111yescharacteristic
1336C2×C11—41no—
1337C2×C11—81no—
1338C2×C11—81no—
1339C2×C11—81no—
1340C2×C11C2×#53711yescharacteristic
1341C2×C11#358511yescharacteristic
1342C2×C11#358611yescharacteristic
1343D11—22no—
1344D11—41no—
1345D11—81no—
1346C24—111no—
1347C24—221no—
1348#41—222no—
1349#41—222no—
1350#41—222no—
1351#41—222no—
1352C2×Q8—21no—
1353C2×Q8—111no—
1354C2×Q8—111no—
1355C2×Q8—111no—
1356C2×Q8—221no—
1357C2×Q8—221no—
1358C2×Q8—221no—
1359C2×Q8—221no—
1360C2×Q8—221no—
1361C2×Q8—222no—
1362C2×Q8—222no—
1363C2×Q8—221no—
1364C2×Q8—882no—
1365C2×Q8C23×D1111yescharacteristic
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—111no—
1372C2×D4—221no—
1373C2×D4—222no—
1374C2×D4—222no—
1375C2×D4—221no—
1376C2×D4—221no—
1377C2×D4—221no—
1378C2×D4—221no—
1379C2×D4—221no—
1380C2×D4—221no—
1381C2×D4—221no—
1382C2×D4—882no—
1383C2×D4C23×D1111yescharacteristic
1384C2×D4C23×D1111yescharacteristic
1385C2×D4C23×D1111yescharacteristic
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—111no—
1390C22×C4—111no—
1391C22×C4—111no—
1392C22×C4—111no—
1393C22×C4—111no—
1394C22×C4—111no—
1395C22×C4—111no—
1396C22×C4—111no—
1397C22×C4—111no—
1398C22×C4—222no—
1399C22×C4—222no—
1400C22×C4—221no—
1401C22×C4—221no—
1402C22×C4—221no—
1403C22×C4—221no—
1404C22×C4—221no—
1405C22×C4—221no—
1406C22×C4—221no—
1407C22×C4—221no—
1408C22×C4—221no—
1409C22×C4—221no—
1410C22×C4—882no—
1411C22×C4C23×D1111yescharacteristic
1412Q16—441no—
1413Q16—441no—
1414Q16—441no—
1415Q16—441no—
1416SD16—41no—
1417SD16—41no—
1418SD16—441no—
1419SD16—441no—
1420SD16—441no—
1421SD16—441no—
1422SD16—441no—
1423SD16—441no—
1424D8—41no—
1425D8—41no—
1426D8—441no—
1427D8—441no—
1428M16—41no—
1429M16—222no—
1430M16—222no—
1431M16—222no—
1432M16—222no—
1433M16—441no—
1434M16—441no—
1435M16—441no—
1436C2×C8—41no—
1437C2×C8—111no—
1438C2×C8—111no—
1439C2×C8—111no—
1440C2×C8—111no—
1441C2×C8—441no—
1442C2×C8—441no—
1443C2×C8—441no—
1444C2×C8C23×D1111yescharacteristic
1445C2×C8C23×D1111yescharacteristic
1446C2×C8C23×D1111yescharacteristic
1447C2×C8C23×D1111yescharacteristic
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—111no—
1454C4⋊C4—111no—
1455C4⋊C4—111no—
1456C4⋊C4—111no—
1457C4⋊C4—111no—
1458C4⋊C4—111no—
1459C4⋊C4—111no—
1460C4⋊C4—111no—
1461C4⋊C4—111no—
1462C4⋊C4—111no—
1463C4⋊C4—221no—
1464C4⋊C4—221no—
1465C4⋊C4—221no—
1466C4⋊C4—221no—
1467C4⋊C4—221no—
1468C4⋊C4—221no—
1469C4⋊C4—221no—
1470C4⋊C4—221no—
1471C4⋊C4—221no—
1472C4⋊C4—221no—
1473C4⋊C4—221no—
1474C4⋊C4—221no—
1475C4⋊C4—221no—
1476C4⋊C4—221no—
1477C4⋊C4—221no—
1478C4⋊C4—221no—
1479C4⋊C4—221no—
1480C4⋊C4—221no—
1481C4⋊C4—221no—
1482C4⋊C4—221no—
1483C4⋊C4—221no—
1484C4⋊C4—221no—
1485C4⋊C4—221no—
1486C4⋊C4—221no—
1487C4⋊C4—221no—
1488C4⋊C4D4×D1111yescharacteristic
1489C4⋊C4D4×D1111yescharacteristic
1490C4⋊C4C23×D1111yescharacteristic
1491C4⋊C4C23×D1111yescharacteristic
1492C4⋊C4C23×D1111yescharacteristic
1493C4⋊C4C23×D1111yescharacteristic
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
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—221no—
1510C22⋊C4—221no—
1511C22⋊C4—221no—
1512C22⋊C4—221no—
1513C22⋊C4—221no—
1514C22⋊C4—221no—
1515C22⋊C4—221no—
1516C22⋊C4—221no—
1517C22⋊C4—221no—
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—221no—
1537C22⋊C4—221no—
1538C22⋊C4D4×D1111yescharacteristic
1539C22⋊C4D4×D1111yescharacteristic
1540C42—21no—
1541C42—111no—
1542C42—111no—
1543C42—111no—
1544C42—111no—
1545C42—111no—
1546C42—111no—
1547C42—221no—
1548C42—221no—
1549C42—221no—
1550C42—221no—
1551C42—221no—
1552C42—221no—
1553C42—221no—
1554C42—221no—
1555C42—221no—
1556C42C23×D1111yescharacteristic
1557C42C23×D1111yescharacteristic
1558C11#6091911yescharacteristic, complemented, Sylow
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—111no—
1563C23—111no—
1564C23—222no—
1565C23—221no—
1566C23—441no—
1567C23—441no—
1568C23—442no—
1569C23—442no—
1570C23—442no—
1571C23C2×D4×D1111yescharacteristic
1572Q8—21no—
1573Q8—21no—
1574Q8—81no—
1575Q8—221no—
1576Q8—221no—
1577Q8—221no—
1578Q8—221no—
1579Q8—221no—
1580Q8—221no—
1581Q8—442no—
1582Q8—881no—
1583Q8—881no—
1584Q8—881no—
1585Q8—881no—
1586Q8—881no—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—81no—
1594D4—81no—
1595D4—81no—
1596D4—81no—
1597D4—81no—
1598D4—221no—
1599D4—221no—
1600D4—442no—
1601D4—442no—
1602D4—442no—
1603D4—881no—
1604D4—881no—
1605D4—881no—
1606D4—881no—
1607D4—881no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—111no—
1619C2×C4—112no—
1620C2×C4—112no—
1621C2×C4—111no—
1622C2×C4—111no—
1623C2×C4—111no—
1624C2×C4—111no—
1625C2×C4—111no—
1626C2×C4—222no—
1627C2×C4—222no—
1628C2×C4—222no—
1629C2×C4—221no—
1630C2×C4—221no—
1631C2×C4—221no—
1632C2×C4—221no—
1633C2×C4—221no—
1634C2×C4—221no—
1635C2×C4—221no—
1636C2×C4—221no—
1637C2×C4—221no—
1638C2×C4—441no—
1639C2×C4—441no—
1640C2×C4—441no—
1641C2×C4—441no—
1642C2×C4—442no—
1643C2×C4—442no—
1644C2×C4—442no—
1645C2×C4—442no—
1646C2×C4—442no—
1647C2×C4—881no—
1648C2×C4—881no—
1649C2×C4—881no—
1650C2×C4—881no—
1651C2×C4—881no—
1652C2×C4C2×D4×D1111yescharacteristic
1653C2×C4C2×D4×D1111yescharacteristic
1654C2×C4C2×D4×D1111yescharacteristic
1655C2×C4C2×D4×D1111yescharacteristic
1656C2×C4C2×D4×D1111yescharacteristic
1657C2×C4C24×D1111yescharacteristic
1658C8—21no—
1659C8—21no—
1660C8—21no—
1661C8—21no—
1662C8—221no—
1663C8—221no—
1664C8—221no—
1665C8—221no—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—112no—
1679C22—221no—
1680C22—221no—
1681C22—221no—
1682C22—221no—
1683C22—221no—
1684C22—441no—
1685C22—441no—
1686C22—441no—
1687C22—882no—
1688C22—884no—
1689C22C22×D4×D1111yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—112no—
1701C4—221no—
1702C4—221no—
1703C4—221no—
1704C4—221no—
1705C4—221no—
1706C4—441no—
1707C4—441no—
1708C4—441no—
1709C4—441no—
1710C4—441no—
1711C4—441no—
1712C4—441no—
1713C4D11×H(5,𝔽2)11yescharacteristic
1714C4D11×2−1+411yescharacteristic
1715C2—41no—
1716C2—81no—
1717C2—81no—
1718C2—81no—
1719C2—222no—
1720C2—441no—
1721C2—881no—
1722C2D11×#53711yescharacteristic
1723C2#1308339111yescharacteristic
1724C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3257C2
socleC22×C11C23×D4
hypercenter#3257D11
hypocenterC11#60919
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3257

Complements

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

NH ≅ G/Ntype
1. #13082000C2semidirect
2. D11×#542C2semidirect
3. #13080088C2semidirect
4. #13080086C2semidirect
5. #13080083C2semidirect
6. #13080080C2semidirect
7. #13080076C2semidirect
8. #13080074C2semidirect
9. #13080073C2semidirect
10. #13080071C2semidirect
11. #13080048C2semidirect
12. #13080046C2semidirect
13. #13080044C2semidirect
14. #13080042C2semidirect
15. #13080025C2semidirect
16. #13080023C2semidirect
17. #13080021C2semidirect
18. #13078428C2semidirect
19. #13078424C2semidirect
20. #13078419C2semidirect
21. #13078411C2semidirect
22. #13078241C2semidirect
23. #13078239C2semidirect
24. #13078234C2semidirect
25. #13078232C2semidirect
26. #13078105C2semidirect
27. #13078105C2semidirect
28. #13078083C2semidirect
29. #13078075C2semidirect
30. #13077177C2semidirect
31. C11×#3257C2semidirect
33. C11×#540C22semidirect
42. #10623250C22semidirect
46. #10623228C22semidirect
68. #10623134C22semidirect
69. #10623134C22semidirect
75. #10623092C22semidirect
76. #10623092C22semidirect
82. #10623049C22semidirect
83. C11×#479C22semidirect
84. C11×#478C22semidirect
85. C11×#476C22semidirect
86. C11×#474C22semidirect
88. C11×#468C22semidirect
90. C11×#465C22semidirect
91. C11×#463C22semidirect
92. C11×#463C22semidirect
93. C11×#460C22semidirect
94. C11×#459C22semidirect
95. C11×#424C22semidirect
96. #10622787C22semidirect
97. #10622784C22semidirect
98. #10622779C22semidirect
99. #10622779C22semidirect
100. #10622778C22semidirect
101. #10622778C22semidirect
104. #10622766C22semidirect
105. #10622766C22semidirect
106. #10622766C22semidirect
107. #10622766C22semidirect
108. #10622750C22semidirect
110. #10622732C22semidirect
111. #10622729C22semidirect
113. #10622715C22semidirect
114. #10622707C22semidirect
115. #10622704C22semidirect
116. #10622688C22semidirect
117. #10622685C22semidirect
118. #10622679C22semidirect
119. #10622676C22semidirect
120. #10622667C22semidirect
121. #10622667C22semidirect
122. #10622665C22semidirect
123. #10622664C22semidirect
125. #10622655C22semidirect
127. #10622654C22semidirect
130. #10622644C22semidirect
131. #10622635C22semidirect
132. #10622632C22semidirect
133. #10622629C22semidirect
134. #10622629C22semidirect
135. #10622622C22semidirect
136. #10622621C22semidirect
137. #10622620C22semidirect
138. #10622612C22semidirect
139. #10622503C22semidirect
140. #10622500C22semidirect
144. #10622488C22semidirect
145. #10622488C22semidirect
146. #10622488C22semidirect
147. #10622483C22semidirect
148. #10622481C22semidirect
152. #10622467C22semidirect
153. #10622467C22semidirect
154. #10622467C22semidirect
155. #10622464C22semidirect
156. #10622463C22semidirect
157. #10622462C22semidirect
158. #10622460C22semidirect
159. #10622458C22semidirect
160. #10622458C22semidirect
161. #10622454C22semidirect
162. #10622452C22semidirect
163. #10622452C22semidirect
164. #10622452C22semidirect
165. #10622452C22semidirect
170. #10622442C22semidirect
171. #10622429C22semidirect
172. #10622426C22semidirect
175. #10622411C22semidirect
176. #10622411C22semidirect
177. #10622407C22semidirect
178. #10622404C22semidirect
179. #10622400C22semidirect
180. #10622400C22semidirect
183. #10622393C22semidirect
185. #10622391C22semidirect
193. #10622380C22semidirect
194. #10622380C22semidirect
195. #10622380C22semidirect
196. #10622380C22semidirect
197. #10622374C22semidirect
198. #10622374C22semidirect
199. #10622374C22semidirect
200. #10622372C22semidirect
201. #10622372C22semidirect
202. #10622372C22semidirect
714. #3257D11semidirect
860. #540C2×D11semidirect
889. #479C2×D11semidirect
893. #478C2×D11semidirect
905. #476C2×D11semidirect
917. #474C2×D11semidirect
933. #468C2×D11semidirect
949. #465C2×D11semidirect
972. #463C2×D11semidirect
973. #463C2×D11semidirect
979. #460C2×D11semidirect
981. #459C2×D11semidirect
993. #424C2×D11semidirect
1558. C11#60919semidirect

Maximal subgroups

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

subgroupindex
#130820002
D11×#5422
#130800882
#130800862
#130800832
#130800802
#130800762
#130800742
#130800732
#130800712
#130800482
#130800462
#130800442
#130800422
#130800252
#130800232
#130800212
#130784282
#130784242
#130784192
#130784112
#130782412
#130782392
#130782342
#130782322
#130781052
#130780832
#130780752
#130771772
C11×#32572
#6091911