Finite Group Databasebeta

← #15630768

Subgroups — #15630768

Order 2816.

2254 conjugacy classes of subgroups.

The subgroup lattice has 1880 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082179C211yesmaximal, characteristic, complemented
2D11×#546C211yesmaximal, characteristic, complemented
3#13080835C211yesmaximal, characteristic, complemented
4#13080833C211yesmaximal, characteristic, complemented
5#13080812C211yesmaximal, characteristic, complemented
6#13080810C211yesmaximal, characteristic, complemented
7#13080779C211yesmaximal, characteristic, complemented
8#13080777C211yesmaximal, characteristic, complemented
9#13080699C211yesmaximal, characteristic, complemented
10#13080697C211yesmaximal, characteristic, complemented
11#13080651C211yesmaximal, characteristic, complemented
12#13080649C211yesmaximal, characteristic, complemented
13#13080571C211yesmaximal, characteristic, complemented
14#13080472C211yesmaximal, characteristic, complemented
15#13080470C211yesmaximal, characteristic, complemented
16#13080449C211yesmaximal, characteristic, complemented
17#13080447C211yesmaximal, characteristic, complemented
18#13079001C211yesmaximal, characteristic, complemented
19#13078559C211yesmaximal, characteristic, complemented
20#13078553C211yesmaximal, characteristic, complemented
21#13078414C211yesmaximal, characteristic, complemented
22#13078239C211yesmaximal, characteristic, complemented
23#13078234C211yesmaximal, characteristic, complemented
24#13078105C211yesmaximal, characteristic, complemented
25#13077854C211yesmaximal, characteristic, complemented
26#13077840C211yesmaximal, characteristic, complemented
27#13077427C211yesmaximal, characteristic, complemented
28#13077349C211yesmaximal, characteristic, complemented
29#13077132C211yesmaximal, characteristic, complemented
30C2×#10622383C211yesmaximal, characteristic, complemented
31C11×#3306C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C22×D4×D11C2211yescharacteristic
34C11×#547C2211yescharacteristic, complemented
35C11×#546C2211yescharacteristic
36#10623360—21no—
37#10623360C2211yescharacteristic
38#41×Dic11—21no—
39#10623337C2211yescharacteristic
40C2×#66968C2211yescharacteristic, complemented
41C2×#66964C2211yescharacteristic
42C2×#66964C2211yescharacteristic
43C2×M16×D11C2211yescharacteristic, complemented
44C22×#4313C2211yescharacteristic
45#10623263C2211yescharacteristic, complemented
46#10623259C2211yescharacteristic, complemented
47#10623207C2211yescharacteristic
48D11×#124C2211yescharacteristic
49#10623189—21no—
50#10623189—21no—
51#10623185—21no—
52D11×#123—21no—
53#10623180—21no—
54#10623180—21no—
55#10623170—21no—
56#10623161C2211yescharacteristic
57D11×C22⋊Q8C2211yescharacteristic
58#10623155—21no—
59#10623149C2211yescharacteristic, complemented
60#10623149C2211yescharacteristic, complemented
61#10623143C2211yescharacteristic
62#10623141—21no—
63#10623137C2211yescharacteristic
64#10623137C2211yescharacteristic, complemented
65D11×#121—21no—
66D11×#121C2211yescharacteristic
67#10623122—21no—
68D11×#120—21no—
69#10623094C2211yescharacteristic, complemented
70#10623085C2211yescharacteristic
71#10623081C2211yescharacteristic
72C4×D4×D11C2211yescharacteristic
73C4×D4×D11C2211yescharacteristic
74#10623074C2211yescharacteristic, complemented
75C4×#4341C2211yescharacteristic, complemented
76#10623044C2211yescharacteristic, complemented
77#10623044C2211yescharacteristic, complemented
78C2×#66945C2211yescharacteristic
79C2×#66945C2211yescharacteristic, complemented
80#10623021—21no—
81C2×C22⋊C4×D11—21no—
82C11×#489C2211yescharacteristic, complemented
83C11×#483C2211yescharacteristic, complemented
84C11×#481C2211yescharacteristic, complemented
85C11×#476C2211yescharacteristic, complemented
86C11×#469C2211yescharacteristic, complemented
87C11×#465C2211yescharacteristic, complemented
88C11×#463C2211yescharacteristic, complemented
89C11×#449C2211yescharacteristic, complemented
90C11×#447C2211yescharacteristic, complemented
91C11×#442C2211yescharacteristic, complemented
92C11×#435C2211yescharacteristic, complemented
93C11×#417C2211yescharacteristic, complemented
94C2×C11×#102C2211yescharacteristic, complemented
95#10622852C2211yescharacteristic, complemented
96#10622845C2211yescharacteristic, complemented
97#10622831C2211yescharacteristic, complemented
98C2×#66896C2211yescharacteristic, complemented
99#10622787C2211yescharacteristic, complemented
100#10622785C2211yescharacteristic, complemented
101#10622778C2211yescharacteristic, complemented
102#10622771C2211yescharacteristic, complemented
103#10622770C2211yescharacteristic, complemented
104#10622769C2211yescharacteristic, complemented
105#10622769C2211yescharacteristic, complemented
106#10622766C2211yescharacteristic, complemented
107D8×Dic11C2211yescharacteristic, complemented
108#10622747C2211yescharacteristic, complemented
109#10622746C2211yescharacteristic, complemented
110#10622741C2211yescharacteristic, complemented
111#10622729C2211yescharacteristic, complemented
112C2×#66885C2211yescharacteristic, complemented
113C8×C22⋊D11C2211yescharacteristic, complemented
114#10622702C2211yescharacteristic, complemented
115#10622697C2211yescharacteristic, complemented
116#10622668C2211yescharacteristic, complemented
117#10622667C2211yescharacteristic, complemented
118#10622664C2211yescharacteristic, complemented
119#10622657C2211yescharacteristic, complemented
120#10622655C2211yescharacteristic, complemented
121#10622654C2211yescharacteristic, complemented
122#10622652C2211yescharacteristic, complemented
123#10622650C2211yescharacteristic, complemented
124#10622649C2211yescharacteristic, complemented
125#10622646C2211yescharacteristic, complemented
126#10622631C2211yescharacteristic, complemented
127#10622629C2211yescharacteristic, complemented
128#10622627C2211yescharacteristic, complemented
129#10622624C2211yescharacteristic, complemented
130#10622620C2211yescharacteristic, complemented
131#10622584C2211yescharacteristic, complemented
132#10622581C2211yescharacteristic, complemented
133#10622579C2211yescharacteristic, complemented
134C2×#66873C2211yescharacteristic, complemented
135#10622484C2211yescharacteristic, complemented
136#10622484C2211yescharacteristic, complemented
137#10622481C2211yescharacteristic, complemented
138#10622480C2211yescharacteristic, complemented
139#10622480C2211yescharacteristic, complemented
140#10622479C2211yescharacteristic, complemented
141#10622479C2211yescharacteristic, complemented
142#10622477C2211yescharacteristic, complemented
143#10622474C2211yescharacteristic, complemented
144#10622474C2211yescharacteristic, complemented
145#10622474C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622459C2211yescharacteristic, complemented
148#10622458C2211yescharacteristic, complemented
149#10622450C2211yescharacteristic, complemented
150#10622449C2211yescharacteristic, complemented
151#10622429C2211yescharacteristic, complemented
152#10622427C2211yescharacteristic, complemented
153#10622427C2211yescharacteristic, complemented
154#10622423C2211yescharacteristic, complemented
155#10622417C2211yescharacteristic, complemented
156#10622417C2211yescharacteristic, complemented
157#10622415C2211yescharacteristic, complemented
158#10622415C2211yescharacteristic, complemented
159#10622415C2211yescharacteristic, complemented
160#10622413C2211yescharacteristic, complemented
161#10622413C2211yescharacteristic, complemented
162#10622411C2211yescharacteristic, complemented
163#10622397C2211yescharacteristic, complemented
164#10622397C2211yescharacteristic, complemented
165#10622396C2211yescharacteristic, complemented
166#10622393C2211yescharacteristic, complemented
167#10622391C2211yescharacteristic, complemented
168#10622389C2211yescharacteristic, complemented
169#10622389C2211yescharacteristic, complemented
170#10622388C2211yescharacteristic, complemented
171#10622385C2211yescharacteristic, complemented
172#10622385C2211yescharacteristic, complemented
173#10622384C2211yescharacteristic, complemented
174#10622383C2211yescharacteristic
175#10622383C2211yescharacteristic
176#10622383C2211yescharacteristic
177#10622383C2211yescharacteristic
178#10622383C2211yescharacteristic
179#10622383C2211yescharacteristic
180#10622383C2211yescharacteristic, complemented
181#10622383C2211yescharacteristic, complemented
182#10622383C2211yescharacteristic, complemented
183#10622383C2211yescharacteristic, complemented
184#10622381C2211yescharacteristic, complemented
185#10622381C2211yescharacteristic, complemented
186#10622380C2211yescharacteristic, complemented
187#10622379C2211yescharacteristic, complemented
188#10622379C2211yescharacteristic, complemented
189#10622371C2211yescharacteristic, complemented
190#10622369C2211yescharacteristic, complemented
191#10622349C2211yescharacteristic, complemented
192#10622346C2211yescharacteristic, complemented
193#10622344C2211yescharacteristic, complemented
194#10622342C2211yescharacteristic, complemented
195#10622339C2211yescharacteristic
196#10622339C2211yescharacteristic, complemented
197(C22⋊D11)⋊C8C2211yescharacteristic, complemented
198#10622335C2211yescharacteristic, complemented
199#10622327C2211yescharacteristic, complemented
200#10622323C2211yescharacteristic, complemented
201#10622320C2211yescharacteristic, complemented
202#10622319C2211yescharacteristic, complemented
203C24×D11—21no—
204C2×C11×#41—21no—
205C2×C11×#41C2311yescharacteristic
206C22×D4×C11C2311yescharacteristic
207C22×C22⋊D11—21no—
208#41×D11—24no—
209#41×D11—42no—
210C2×#4343C2311yescharacteristic
211C2×Q8×D11C2311yescharacteristic
212C2×#4341—21no—
213C2×#4341C2311yescharacteristic
214C2×#4341C2311yescharacteristic
215C2×D4×D11—24no—
216C2×D4×D11—21no—
217C2×D4×D11—21no—
218C2×D4×D11—21no—
219C2×D4×D11—21no—
220C2×D4×D11—42no—
221C2×D4×D11D411yescharacteristic
222C2×D4×D11C2311yescharacteristic
223C2×D4×D11C2311yescharacteristic
224C2×D4×D11C2311yescharacteristic
225C2×D4×D11C2311yescharacteristic
226C2×#4339—21no—
227C2×#4339C2311yescharacteristic
228C22×D44C2311yescharacteristic
229C22×C4×D11—21no—
230C22×C4×D11—21no—
231C22×C4×D11C2311yescharacteristic
232C22×C4×D11C2311yescharacteristic
233C2×C11×SD16C2311yescharacteristic, complemented
234C2×C11×D8C2311yescharacteristic
235C2×C11×D8C2311yescharacteristic
236C2×C11×M16C2311yescharacteristic, complemented
237C22×C8×C11C2311yescharacteristic
238C11×C4⋊Q8C2311yescharacteristic, complemented
239C11×#124C2311yescharacteristic
240C11×#123—21no—
241C11×#123—21no—
242C11×#123—21no—
243C11×C22⋊Q8—21no—
244C11×C22⋊Q8C2311yescharacteristic
245C11×#121—21no—
246C11×#121C2311yescharacteristic
247C11×#121C2311yescharacteristic
248C11×#121C2311yescharacteristic, complemented
249C11×#120—21no—
250C4×D4×C11C2311yescharacteristic
251C4×D4×C11C2311yescharacteristic
252C4×D4×C11C2311yescharacteristic, complemented
253C2×C11×C4⋊C4C2311yescharacteristic
254C2×C11×C4⋊C4C2311yescharacteristic, complemented
255C2×C11×C22⋊C4—21no—
256#67006—21no—
257C2×C22⋊Dic11—21no—
258#67000—21no—
259#67000C2311yescharacteristic
260#66999—21no—
261#66999C2311yescharacteristic
262Q8×Dic11—21no—
263Q8×Dic11—21no—
264C2×#4326C2311yescharacteristic, complemented
265#66992—21no—
266#66992—21no—
267#66992—21no—
268#66992—21no—
269#66992—21no—
270#66991—21no—
271#66991C2311yescharacteristic
272#66991C2311yescharacteristic
273#66991C2311yescharacteristic, complemented
274#66990—21no—
275#66990—21no—
276#66990—21no—
277#66990—21no—
278#66990—21no—
279#66989C2311yescharacteristic
280#66988—21no—
281D4×Dic11—21no—
282D4×Dic11—21no—
283D4×Dic11—21no—
284D4×Dic11—21no—
285D4×Dic11—21no—
286D4×Dic11D411yescharacteristic
287D4×Dic11C2311yescharacteristic
288D4×Dic11C2311yescharacteristic, complemented
289C2×#4324C2311yescharacteristic
290C2×#4324C2311yescharacteristic
291C2×#4324C2311yescharacteristic, complemented
292C2×#4323C2311yescharacteristic
293C2×#4323C2311yescharacteristic
294#66983—21no—
295#66983—21no—
296#66983C2311yescharacteristic
297#66982—21no—
298#66982—21no—
299#66982—21no—
300C4×C22⋊D11—21no—
301C4×C22⋊D11—21no—
302C4×C22⋊D11C2311yescharacteristic
303C4×C22⋊D11C2311yescharacteristic
304C2×(C2×D11)⋊C4—21no—
305C2×(C2×D11)⋊C4—21no—
306C2×(C2×D11)⋊C4—21no—
307C2×(C2×D11)⋊C4—21no—
308#66979—21no—
309#66979—21no—
310#66979—21no—
311C2×C4⋊Dic11C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic, complemented
313#66977C2311yescharacteristic
314#66977C2311yescharacteristic
315#66977C2311yescharacteristic, complemented
316C2×C4×Dic11—21no—
317C2×C4×Dic11—21no—
318C2×C4×Dic11—21no—
319C2×#4318C2311yescharacteristic, complemented
320C22×C11⋊C8C2311yescharacteristic
321#66968—42no—
322#66964—24no—
323#66964—42no—
324M16×D11—42no—
325C2×Dic44C2311yescharacteristic, complemented
326C2×#4314C2311yescharacteristic
327C2×#4314C2311yescharacteristic
328C2×#4313—42no—
329C2×#4313C2311yescharacteristic
330C2×#4313C2311yescharacteristic
331C2×#4313C2311yescharacteristic
332C2×#4313C2311yescharacteristic
333C2×#4313C2311yescharacteristic
334C2×#4313C2311yescharacteristic
335C2×C8×D11C2311yescharacteristic, complemented
336C2×C8×D11C2311yescharacteristic, complemented
337#66951—21no—
338#66951—21no—
339#66951—21no—
340#66951—21no—
341#66950—21no—
342#66950C2311yescharacteristic
343#66950C2311yescharacteristic
344#66950C2311yescharacteristic, complemented
345#66949—21no—
346#66948—21no—
347#66948C2311yescharacteristic
348#66947—21no—
349#66947—21no—
350#66946D411yescharacteristic
351#66946C2311yescharacteristic
352#66945—21no—
353#66945—21no—
354#66945—21no—
355#66945—21no—
356#66945C2311yescharacteristic
357#66945C2311yescharacteristic
358#66945C2311yescharacteristic
359#66945C2311yescharacteristic
360#66945C2311yescharacteristic
361#66945C2311yescharacteristic, complemented
362#66945C2311yescharacteristic, complemented
363C4⋊C4×D11—21no—
364C4⋊C4×D11D411yescharacteristic
365C4⋊C4×D11C2311yescharacteristic
366#66943—21no—
367#66943C2311yescharacteristic, complemented
368#66943C2311yescharacteristic, complemented
369#66942—21no—
370#66942—21no—
371#66940—21no—
372#66940C2311yescharacteristic, complemented
373#66939—21no—
374#66939—21no—
375#66939—21no—
376#66938—21no—
377#66938—21no—
378#66938—21no—
379#66938—21no—
380#66937—21no—
381#66937—21no—
382#66937—21no—
383#66936—21no—
384#66936—21no—
385#66936—21no—
386#66936—21no—
387#66935—21no—
388#66935—21no—
389#66935—21no—
390(C22⋊D11)⋊C4—21no—
391(C22⋊D11)⋊C4—21no—
392(C22⋊D11)⋊C4—21no—
393(C22⋊D11)⋊C4—21no—
394(C22⋊D11)⋊C4D411yescharacteristic
395(C22⋊D11)⋊C4D411yescharacteristic
396C22⋊C4×D11—21no—
397C22⋊C4×D11—21no—
398C22⋊C4×D11—21no—
399C22⋊C4×D11—21no—
400C22⋊C4×D11—21no—
401C22⋊C4×D11—21no—
402C22⋊C4×D11—21no—
403C22⋊C4×D11—21no—
404C22⋊C4×D11—21no—
405C22⋊C4×D11D411yescharacteristic
406C22⋊C4×D11D411yescharacteristic
407#66932—21no—
408#66932—21no—
409#66931—21no—
410#66931—21no—
411#66931—21no—
412#66930—21no—
413#66928C2311yescharacteristic
414C4×D44C2311yescharacteristic
415C4×D44C2311yescharacteristic
416C42×D11C2311yescharacteristic
417#66922C2311yescharacteristic, complemented
418C4×Dic22C2311yescharacteristic, complemented
419C11×#106C2311yescharacteristic, complemented
420C11×#106C2311yescharacteristic, complemented
421C11×#106C2311yescharacteristic, complemented
422C11×C4⋊C8C2311yescharacteristic, complemented
423C11×#103C2311yescharacteristic, complemented
424C11×#103C2311yescharacteristic, complemented
425C11×#103C2311yescharacteristic, complemented
426C11×#102C2311yescharacteristic
427C11×#102C2311yescharacteristic
428C11×#102C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic, complemented
433C11×C22⋊C8C2311yescharacteristic
434C11×C22⋊C8C2311yescharacteristic, complemented
435C11×#97C2311yescharacteristic, complemented
436#66899C2311yescharacteristic, complemented
437#66899C2311yescharacteristic, complemented
438#66899C2311yescharacteristic, complemented
439#66896C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic, complemented
446C22⋊(C11⋊C8)C2311yescharacteristic
447C22⋊(C11⋊C8)C2311yescharacteristic, complemented
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451#66885C2311yescharacteristic
452#66885C2311yescharacteristic
453#66885C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456(C2×D11)⋊C8C2311yescharacteristic, complemented
457(C2×D11)⋊C8C2311yescharacteristic, complemented
458#66882C2311yescharacteristic, complemented
459#66882C2311yescharacteristic, complemented
460#66882C2311yescharacteristic, complemented
461#66880C2311yescharacteristic, complemented
462#66880C2311yescharacteristic, complemented
463#66880C2311yescharacteristic, complemented
464#66880C2311yescharacteristic, complemented
465Dic11⋊C8C2311yescharacteristic, complemented
466Dic11⋊C8C2311yescharacteristic, complemented
467C8×Dic11C2311yescharacteristic, complemented
468C8×Dic11C2311yescharacteristic, complemented
469#66874C2311yescharacteristic, complemented
470#66874C2311yescharacteristic, complemented
471#66874C2311yescharacteristic, complemented
472#66874C2311yescharacteristic, complemented
473#66873C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66872C2311yescharacteristic, complemented
480#66872C2311yescharacteristic, complemented
481#66872C2311yescharacteristic, complemented
482#66871C2311yescharacteristic, complemented
483#66871C2311yescharacteristic, complemented
484#66871C2311yescharacteristic, complemented
485C4⋊(C11⋊C8)C2311yescharacteristic, complemented
486#66867C2311yescharacteristic, complemented
487#61156—111nomaximal, Sylow
488C24×C11—21no—
489C23×D11—21no—
490C23×D11—21no—
491C23×D11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C23×D11—44no—
495C23×D11—44no—
496C23×D11—82no—
497C23×D11C2×D411yescharacteristic
498C23×D11C2×D411yescharacteristic
499C11×#41—22no—
500C11×#41—41no—
501C11×#41—44no—
502C2×Q8×C11—21no—
503C2×Q8×C11C2411yescharacteristic
504C2×D4×C11—22no—
505C2×D4×C11—21no—
506C2×D4×C11—21no—
507C2×D4×C11—21no—
508C2×D4×C11—21no—
509C2×D4×C11—21no—
510C2×D4×C11—41no—
511C2×D4×C11C2×D411yescharacteristic
512C2×D4×C11C2411yescharacteristic
513C2×D4×C11C2411yescharacteristic
514C2×D4×C11C2411yescharacteristic
515C22×C4×C11—21no—
516C22×C4×C11—21no—
517C22×C4×C11—21no—
518C22×C4×C11—21no—
519C22×C4×C11—21no—
520C22×C4×C11C2411yescharacteristic
521C22×C4×C11C2411yescharacteristic
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11—21no—
527C2×C22⋊D11—21no—
528C2×C22⋊D11—21no—
529C2×C22⋊D11—21no—
530C2×C22⋊D11—21no—
531C2×C22⋊D11—21no—
532C2×C22⋊D11—21no—
533C2×C22⋊D11—44no—
534C2×C22⋊D11C2×D411yescharacteristic
535C2×C22⋊D11C2×D411yescharacteristic
536C22×Dic11—21no—
537C22×Dic11—21no—
538C22×Dic11—21no—
539C22×Dic11—21no—
540C22×Dic11—21no—
541C22×Dic11—21no—
542C22×Dic11C2×D411yescharacteristic
543C22×Dic11C2×D411yescharacteristic
544#4343—22no—
545#4343—41no—
546Q8×D11—22no—
547Q8×D11—22no—
548#4341—22no—
549#4341—22no—
550#4341—22no—
551#4341—41no—
552#4341—44no—
553D4×D11—22no—
554D4×D11—22no—
555D4×D11—22no—
556D4×D11—22no—
557D4×D11—22no—
558D4×D11—42no—
559D4×D11—41no—
560D4×D11—41no—
561D4×D11—44no—
562D4×D11—44no—
563D4×D11—44no—
564D4×D11—82no—
565D4×D11#4114yescomplemented
566#4339—22no—
567#4339—41no—
568#4339—44no—
569C2×D44—21no—
570C2×D44—21no—
571C2×D44—22no—
572C2×D44—21no—
573C2×D44—41no—
574C2×D44C2×D411yescharacteristic
575C2×D44C2411yescharacteristic
576C2×D44C2411yescharacteristic
577C2×C4×D11—22no—
578C2×C4×D11—22no—
579C2×C4×D11—22no—
580C2×C4×D11—22no—
581C2×C4×D11—21no—
582C2×C4×D11—21no—
583C2×C4×D11—21no—
584C2×C4×D11—21no—
585C2×C4×D11—21no—
586C2×C4×D11—21no—
587C2×C4×D11—44no—
588C2×C4×D11—82no—
589C2×C4×D11C2×D411yescharacteristic
590C2×C4×D11C2×D411yescharacteristic
591C2×C4×D11C2×D411yescharacteristic
592C2×C4×D11C2×D411yescharacteristic
593C2×C4×D11C2×D411yescharacteristic
594C2×C4×D11C2×D411yescharacteristic
595C2×C4×D11C2411yescharacteristic
596C2×C4×D11C2411yescharacteristic
597C2×C4×D11C2411yescharacteristic
598C2×Dic22—21no—
599C2×Dic22—21no—
600C2×Dic22C2411yescharacteristic
601C2×Dic22C2411yescharacteristic
602C11×SD16—41no—
603C11×D8—22no—
604C11×D8—41no—
605C11×M16—41no—
606C2×C8×C11—41no—
607C2×C8×C11C2411yescharacteristic
608C2×C8×C11C2411yescharacteristic
609C2×C8×C11C2411yescharacteristic
610C2×C8×C11C2411yescharacteristic
611C11×C4⋊C4—21no—
612C11×C4⋊C4—21no—
613C11×C4⋊C4—21no—
614C11×C4⋊C4—21no—
615C11×C4⋊C4C2×D411yescharacteristic
616C11×C4⋊C4C2411yescharacteristic
617C11×C4⋊C4C2411yescharacteristic
618C11×C4⋊C4C2411yescharacteristic
619C11×C4⋊C4C2411yescharacteristic
620C11×C22⋊C4—21no—
621C11×C22⋊C4—21no—
622C11×C22⋊C4—21no—
623C11×C22⋊C4—21no—
624C11×C22⋊C4—21no—
625C11×C22⋊C4—21no—
626C11×C22⋊C4—21no—
627C11×C22⋊C4—21no—
628C11×C22⋊C4C2×D411yescharacteristic
629C11×C22⋊C4C2×D411yescharacteristic
630C42×C11C2411yescharacteristic
631C22⋊Dic11—21no—
632C22⋊Dic11—21no—
633C22⋊Dic11—21no—
634C22⋊Dic11—21no—
635C22⋊Dic11—21no—
636C22⋊Dic11—21no—
637C22⋊Dic11—21no—
638C22⋊Dic11—21no—
639C22⋊Dic11—21no—
640C22⋊Dic11—21no—
641C22⋊Dic11C2×D411yescharacteristic
642C22⋊Dic11C2×D411yescharacteristic
643#4326—41no—
644#4324—22no—
645#4324—41no—
646#4324—41no—
647#4323—22no—
648#4323—41no—
649(C2×D11)⋊C4—21no—
650(C2×D11)⋊C4—21no—
651(C2×D11)⋊C4—21no—
652(C2×D11)⋊C4—21no—
653(C2×D11)⋊C4—21no—
654(C2×D11)⋊C4—21no—
655(C2×D11)⋊C4—21no—
656(C2×D11)⋊C4—21no—
657(C2×D11)⋊C4—21no—
658(C2×D11)⋊C4—21no—
659(C2×D11)⋊C4—21no—
660(C2×D11)⋊C4—21no—
661(C2×D11)⋊C4—21no—
662(C2×D11)⋊C4—21no—
663(C2×D11)⋊C4—21no—
664(C2×D11)⋊C4—21no—
665(C2×D11)⋊C4—21no—
666(C2×D11)⋊C4—21no—
667(C2×D11)⋊C4—21no—
668(C2×D11)⋊C4C2×D411yescharacteristic
669(C2×D11)⋊C4C2×D411yescharacteristic
670(C2×D11)⋊C4C2×D411yescharacteristic
671(C2×D11)⋊C4C2×D411yescharacteristic
672C4⋊Dic11—21no—
673C4⋊Dic11—21no—
674C4⋊Dic11—21no—
675C4⋊Dic11—21no—
676C4⋊Dic11—21no—
677C4⋊Dic11—21no—
678C4⋊Dic11—21no—
679C4⋊Dic11—21no—
680C4⋊Dic11C2×D411yescharacteristic
681C4⋊Dic11C2411yescharacteristic
682C4⋊Dic11C2411yescharacteristic
683C4⋊Dic11C2411yescharacteristic
684C4⋊Dic11C2411yescharacteristic
685Dic11⋊C4—21no—
686Dic11⋊C4—21no—
687Dic11⋊C4—21no—
688Dic11⋊C4—21no—
689Dic11⋊C4—21no—
690Dic11⋊C4—21no—
691Dic11⋊C4—21no—
692Dic11⋊C4—21no—
693Dic11⋊C4—21no—
694Dic11⋊C4C2×D411yescharacteristic
695Dic11⋊C4C2×D411yescharacteristic
696C4×Dic11—21no—
697C4×Dic11—21no—
698C4×Dic11—21no—
699C4×Dic11—21no—
700C4×Dic11—21no—
701C4×Dic11—21no—
702C4×Dic11—21no—
703C4×Dic11—21no—
704C4×Dic11—21no—
705C4×Dic11C2×D411yescharacteristic
706C4×Dic11C2×D411yescharacteristic
707C4×Dic11C2411yescharacteristic
708#4318—41no—
709C2×C11⋊C8—41no—
710C2×C11⋊C8C2411yescharacteristic
711C2×C11⋊C8C2411yescharacteristic
712C2×C11⋊C8C2411yescharacteristic
713C2×C11⋊C8C2411yescharacteristic
714Dic44—41no—
715#4314—22no—
716#4314—41no—
717#4313—22no—
718#4313—22no—
719#4313—22no—
720#4313—22no—
721#4313—41no—
722#4313—41no—
723C8×D11—41no—
724C8×D11—41no—
725#3475—111no—
726C2×#546—111no—
727#3323—111no—
728#3323—111no—
729#3322—111no—
730#3322—111no—
731#3319—111no—
732#3319—111no—
733#3314—111no—
734#3314—111no—
735#3311—111no—
736#3311—111no—
737#3306—111no—
738#3306D1111yescharacteristic, complemented
739#3297—111no—
740#3297—111no—
741#3296—111no—
742#3296—111no—
743#3140—111no—
744#3095—111no—
745#3094—111no—
746#3077—111no—
747#3056—111no—
748#3055—111no—
749#3040—111no—
750#3005—111no—
751#3003—111no—
752C4×AGL(1,ℤ/8)—111no—
753D4×M16—111no—
754#2896—111no—
755C2×#418—111no—
756C23×C11—21no—
757C23×C11—21no—
758C23×C11—21no—
759C23×C11—42no—
760C23×C11—42no—
761C23×C11—81no—
762C23×C11C22×D411yescharacteristic
763C23×C11C22×D411yescharacteristic
764C22×D11—22no—
765C22×D11—21no—
766C22×D11—22no—
767C22×D11—24no—
768C22×D11—22no—
769C22×D11—21no—
770C22×D11—41no—
771C22×D11—41no—
772C22×D11—41no—
773C22×D11—42no—
774C22×D11—42no—
775C22×D11—42no—
776C22×D11—42no—
777C22×D11—42no—
778C22×D11—42no—
779C22×D11—42no—
780C22×D11—42no—
781C22×D11—42no—
782C22×D11—42no—
783C22×D11—42no—
784C22×D11—81no—
785C22×D11—81no—
786C22×D11—81no—
787C22×D11—816no—
788C22×D11C22×D411yescharacteristic
789C22×D11C22×D411yescharacteristic
790C22×D11C22×D411yescharacteristic
791Q8×C11—21no—
792Q8×C11—21no—
793Q8×C11—42no—
794D4×C11—22no—
795D4×C11—21no—
796D4×C11—21no—
797D4×C11—21no—
798D4×C11—21no—
799D4×C11—21no—
800D4×C11—42no—
801D4×C11—42no—
802D4×C11—42no—
803D4×C11—42no—
804D4×C11—81no—
805D4×C11C2×#4112yes—
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—42no—
818C2×C4×C11—42no—
819C2×C4×C11—81no—
820C2×C4×C11C22×D411yescharacteristic
821C2×C4×C11C22×D411yescharacteristic
822C2×C4×C11C22×D411yescharacteristic
823C2×C4×C11C22×D411yescharacteristic
824C2×C4×C11C2511yescharacteristic
825C22⋊D11—22no—
826C22⋊D11—24no—
827C22⋊D11—41no—
828C22⋊D11—42no—
829C22⋊D11—42no—
830C22⋊D11—42no—
831C22⋊D11—42no—
832C22⋊D11—42no—
833C22⋊D11—42no—
834C22⋊D11—81no—
835C22⋊D11—81no—
836C22⋊D11—81no—
837C22⋊D11—81no—
838C2×Dic11—22no—
839C2×Dic11—22no—
840C2×Dic11—21no—
841C2×Dic11—21no—
842C2×Dic11—21no—
843C2×Dic11—21no—
844C2×Dic11—21no—
845C2×Dic11—21no—
846C2×Dic11—42no—
847C2×Dic11—42no—
848C2×Dic11—81no—
849C2×Dic11—81no—
850C2×Dic11—81no—
851C2×Dic11—81no—
852C2×Dic11C22×D411yescharacteristic
853C2×Dic11C22×D411yescharacteristic
854C2×Dic11C22×D411yescharacteristic
855C2×Dic11C22×D411yescharacteristic
856C2×Dic11C22×D411yescharacteristic
857D44—21no—
858D44—21no—
859D44—21no—
860D44—41no—
861D44—42no—
862D44—42no—
863D44—81no—
864D44C2×#4112yes—
865C4×D11—22no—
866C4×D11—22no—
867C4×D11—21no—
868C4×D11—21no—
869C4×D11—21no—
870C4×D11—21no—
871C4×D11—22no—
872C4×D11—22no—
873C4×D11—41no—
874C4×D11—41no—
875C4×D11—42no—
876C4×D11—42no—
877C4×D11—42no—
878C4×D11—42no—
879C4×D11—81no—
880C4×D11—81no—
881C4×D11C2×#4112yes—
882C4×D11H(5,𝔽2)12yes—
883Dic22—21no—
884Dic22—21no—
885Dic22—21no—
886Dic22—21no—
887Dic22—42no—
888Dic22—81no—
889C8×C11—21no—
890C8×C11—21no—
891C8×C11—21no—
892C8×C11—21no—
893C11⋊C8—21no—
894C11⋊C8—21no—
895C11⋊C8—21no—
896C11⋊C8—21no—
897C22×#41—111no—
898C23×D4—111no—
899C2×#137—111no—
900C2×AGL(1,ℤ/8)—111no—
901C2×AGL(1,ℤ/8)—111no—
902C22×M16—111no—
903C22×M16—111no—
904#556—111no—
905#555—111no—
906#554—111no—
907#553—111no—
908#553—111no—
909#552—111no—
910#552—111no—
911#552—221no—
912#551—221no—
913#551—221no—
914#547C2×D1111yescharacteristic, complemented
915#546—111no—
916#546—111no—
917#546—111no—
918#546—111no—
919#546—111no—
920#546—111no—
921#546—111no—
922#546—221no—
923#546—221no—
924#546—221no—
925#546—221no—
926#546—221no—
927#546C2×D1111yescharacteristic
928#533—111no—
929#529—221no—
930#529—221no—
931#529—221no—
932C2×#124—111no—
933#525—111no—
934#525—111no—
935C2×#123—221no—
936C2×C22⋊Q8—111no—
937C2×#121—111no—
938C2×#121—221no—
939C2×#120—221no—
940C4×#41—111no—
941C4×#41—221no—
942C2×C4×D4—111no—
943C2×C4×D4—111no—
944C2×#117—111no—
945C2×#117—111no—
946C22×C22⋊C4—221no—
947#489—111no—
948#489—111no—
949#489—111no—
950#489C2×D1111yescharacteristic, complemented
951#488—111no—
952#488—111no—
953#488—111no—
954#488—111no—
955#485—111no—
956#485—111no—
957#485—111no—
958#485—111no—
959#484—111no—
960#484—111no—
961#483—111no—
962#483C2×D1111yescharacteristic, complemented
963#482—111no—
964#482—111no—
965#482—111no—
966#482—111no—
967#481—111no—
968#481C2×D1111yescharacteristic, complemented
969#480—111no—
970#480—111no—
971#478—111no—
972#478—111no—
973#478—111no—
974#478—111no—
975#476—111no—
976#476C2×D1111yescharacteristic, complemented
977#474—111no—
978#474—111no—
979#470—111no—
980#470—111no—
981#469—111no—
982#469C2×D1111yescharacteristic, complemented
983#468—111no—
984#468—111no—
985#468—111no—
986#468—111no—
987#467—111no—
988#467—111no—
989#466—111no—
990#466—111no—
991#465—111no—
992#465—111no—
993#465—111no—
994#465C2×D1111yescharacteristic, complemented
995#464—111no—
996#464—111no—
997#464—111no—
998#464—111no—
999#463—111no—
1000#463—111no—
1001#463—111no—
1002#463C2×D1111yescharacteristic, complemented
1003#452—111no—
1004#452—111no—
1005#452—111no—
1006#452—111no—
1007#450—111no—
1008#450—111no—
1009#450—111no—
1010#450—111no—
1011#449—111no—
1012#449—111no—
1013#449—111no—
1014#449C2×D1111yescharacteristic, complemented
1015#447—111no—
1016#447—111no—
1017#447—111no—
1018#447C2×D1111yescharacteristic, complemented
1019#442—111no—
1020#442C2×D1111yescharacteristic, complemented
1021#440—111no—
1022#440—111no—
1023C4×SD16—111no—
1024C4×SD16—111no—
1025C4×D8—111no—
1026C4×D8—111no—
1027#436—111no—
1028#436—111no—
1029#435—111no—
1030#435—111no—
1031#435—111no—
1032#435C2×D1111yescharacteristic, complemented
1033C8×D4—111no—
1034C8×D4—111no—
1035#428—111no—
1036#428—111no—
1037#428—111no—
1038#423—111no—
1039#419—111no—
1040#419—111no—
1041#419—111no—
1042#418—111no—
1043#418—111no—
1044#418—111no—
1045#418—111no—
1046#418—111no—
1047#418—111no—
1048#418—111no—
1049#418—111no—
1050#418—111no—
1051#418—111no—
1052#417—111no—
1053#417—111no—
1054#417—111no—
1055#417—111no—
1056#417C2×D1111yescharacteristic, complemented
1057#416—111no—
1058#416—111no—
1059#416—111no—
1060#416—111no—
1061C2×#102—111no—
1062C2×#102—111no—
1063C2×#102—111no—
1064C2×#102C2×D1111yescharacteristic, complemented
1065#407—111no—
1066#407—111no—
1067C4×M16—111no—
1068C22×C11—21no—
1069C22×C11—21no—
1070C22×C11—21no—
1071C22×C11—21no—
1072C22×C11—22no—
1073C22×C11—21no—
1074C22×C11—41no—
1075C22×C11—41no—
1076C22×C11—41no—
1077C22×C11—41no—
1078C22×C11—41no—
1079C22×C11—41no—
1080C22×C11—41no—
1081C22×C11—41no—
1082C22×C11—84no—
1083C22×C11#57512yes—
1084C22×C11C23×D411yescharacteristic
1085C2×D11—21no—
1086C2×D11—21no—
1087C2×D11—21no—
1088C2×D11—21no—
1089C2×D11—22no—
1090C2×D11—21no—
1091C2×D11—21no—
1092C2×D11—21no—
1093C2×D11—21no—
1094C2×D11—44no—
1095C2×D11—48no—
1096C2×D11—41no—
1097C2×D11—41no—
1098C2×D11—41no—
1099C2×D11—41no—
1100C2×D11—41no—
1101C2×D11—82no—
1102C2×D11—84no—
1103C2×D11—84no—
1104C2×D11—84no—
1105C2×D11—84no—
1106C2×D11#54612yes—
1107C4×C11—21no—
1108C4×C11—21no—
1109C4×C11—21no—
1110C4×C11—21no—
1111C4×C11—41no—
1112C4×C11—41no—
1113C4×C11—41no—
1114C4×C11—41no—
1115C4×C11—41no—
1116C4×C11C22×#4111yescharacteristic
1117C4×C11C2×H(5,𝔽2)11yescharacteristic
1118Dic11—21no—
1119Dic11—21no—
1120Dic11—21no—
1121Dic11—21no—
1122Dic11—41no—
1123Dic11—41no—
1124Dic11—41no—
1125Dic11—41no—
1126Dic11—41no—
1127Dic11—41no—
1128Dic11#54612yes—
1129C25—221no—
1130C2×#41—21no—
1131C2×#41—111no—
1132C2×#41—111no—
1133C2×#41—111no—
1134C2×#41—111no—
1135C2×#41—221no—
1136C2×#41—221no—
1137C2×#41—224no—
1138C2×#41—442no—
1139C2×#41C22×D1111yescharacteristic
1140C22×Q8—111no—
1141C22×D4—111no—
1142C22×D4—111no—
1143C22×D4—111no—
1144C22×D4—111no—
1145C22×D4—111no—
1146C22×D4—111no—
1147C22×D4—221no—
1148C22×D4—221no—
1149C22×D4—221no—
1150C22×D4—224no—
1151C22×D4—221no—
1152C22×D4—221no—
1153C22×D4—442no—
1154C22×D4C22×D1111yescharacteristic
1155C23×C4—111no—
1156C23×C4—111no—
1157C23×C4—221no—
1158C23×C4—221no—
1159#137—442no—
1160AGL(1,ℤ/8)—224no—
1161AGL(1,ℤ/8)—442no—
1162C2×Q16—111no—
1163C2×Q16—111no—
1164C2×SD16—111no—
1165C2×SD16—111no—
1166C2×SD16—111no—
1167C2×SD16—111no—
1168C2×SD16—111no—
1169C2×SD16C22×D1111yescharacteristic, complemented
1170C2×D8—111no—
1171C2×D8—111no—
1172C2×D8C22×D1111yescharacteristic
1173C2×D8C22×D1111yescharacteristic
1174C2×M16—111no—
1175C2×M16—111no—
1176C2×M16—111no—
1177C2×M16—111no—
1178C2×M16—111no—
1179C2×M16—111no—
1180C2×M16—111no—
1181C2×M16—442no—
1182C2×M16—442no—
1183C2×M16C22×D1111yescharacteristic, complemented
1184C22×C8—111no—
1185C22×C8—111no—
1186C22×C8—111no—
1187C22×C8C22×D1111yescharacteristic
1188C4⋊Q8—111no—
1189C4⋊Q8C22×D1111yescharacteristic, complemented
1190#126—221no—
1191#126—221no—
1192#126—221no—
1193#126—221no—
1194#126—221no—
1195#126—221no—
1196#125—111no—
1197#125—111no—
1198#125—221no—
1199#125—221no—
1200#125—221no—
1201#124—111no—
1202#124—111no—
1203#124—111no—
1204#124—221no—
1205#124—221no—
1206#124—221no—
1207#124—221no—
1208#124—221no—
1209#124C22×D1111yescharacteristic
1210#123—21no—
1211#123—21no—
1212#123—21no—
1213#123—221no—
1214#123—221no—
1215#123—221no—
1216#123—221no—
1217#123—221no—
1218#123—221no—
1219#123—221no—
1220#123—221no—
1221#123—221no—
1222#123—221no—
1223#123—221no—
1224#123—221no—
1225#123—221no—
1226C22⋊Q8—21no—
1227C22⋊Q8—111no—
1228C22⋊Q8—111no—
1229C22⋊Q8—111no—
1230C22⋊Q8—111no—
1231C22⋊Q8—111no—
1232C22⋊Q8—111no—
1233C22⋊Q8—111no—
1234C22⋊Q8—221no—
1235C22⋊Q8—221no—
1236C22⋊Q8—221no—
1237C22⋊Q8—221no—
1238C22⋊Q8—221no—
1239C22⋊Q8—221no—
1240C22⋊Q8C22×D1111yescharacteristic
1241#121—21no—
1242#121—111no—
1243#121—111no—
1244#121—111no—
1245#121—111no—
1246#121—111no—
1247#121—221no—
1248#121—221no—
1249#121—221no—
1250#121—221no—
1251#121—221no—
1252#121—221no—
1253#121—221no—
1254#121—221no—
1255#121—221no—
1256#121—221no—
1257#121—221no—
1258#121—221no—
1259#121C22×D1111yescharacteristic
1260#121C22×D1111yescharacteristic
1261#121C22×D1111yescharacteristic, complemented
1262#120—21no—
1263#120—221no—
1264#120—221no—
1265#120—221no—
1266#120—221no—
1267#120—221no—
1268#120—221no—
1269#120—221no—
1270#120—221no—
1271#120—221no—
1272C4×Q8—111no—
1273C4×Q8—111no—
1274C4×Q8—221no—
1275C4×Q8—221no—
1276C4×Q8—221no—
1277C4×D4—111no—
1278C4×D4—111no—
1279C4×D4—111no—
1280C4×D4—111no—
1281C4×D4—111no—
1282C4×D4—111no—
1283C4×D4—111no—
1284C4×D4—111no—
1285C4×D4—111no—
1286C4×D4—111no—
1287C4×D4—111no—
1288C4×D4—221no—
1289C4×D4—221no—
1290C4×D4—221no—
1291C4×D4—221no—
1292C4×D4—221no—
1293C4×D4—221no—
1294C4×D4—221no—
1295C4×D4—221no—
1296C4×D4—221no—
1297C4×D4—221no—
1298C4×D4—221no—
1299C4×D4C22×D1111yescharacteristic
1300C4×D4C22×D1111yescharacteristic
1301C4×D4C22×D1111yescharacteristic, complemented
1302#117—111no—
1303#117—111no—
1304#117—111no—
1305#117—111no—
1306#117—111no—
1307#117—111no—
1308#117—111no—
1309#117—221no—
1310#117—221no—
1311#117—221no—
1312#117—221no—
1313#117—221no—
1314#117—221no—
1315#117—221no—
1316#117—221no—
1317C2×C4⋊C4—111no—
1318C2×C4⋊C4—111no—
1319C2×C4⋊C4—111no—
1320C2×C4⋊C4—111no—
1321C2×C4⋊C4—221no—
1322C2×C4⋊C4C22×D1111yescharacteristic
1323C2×C4⋊C4C22×D1111yescharacteristic, complemented
1324C2×C22⋊C4—21no—
1325C2×C22⋊C4—111no—
1326C2×C22⋊C4—111no—
1327C2×C22⋊C4—221no—
1328C2×C22⋊C4—221no—
1329C2×C22⋊C4—221no—
1330C2×C22⋊C4—221no—
1331C2×C22⋊C4—221no—
1332C2×C22⋊C4—221no—
1333C2×C22⋊C4—221no—
1334C2×C22⋊C4—221no—
1335C2×C22⋊C4—221no—
1336C2×C22⋊C4—221no—
1337C2×C22⋊C4—221no—
1338C2×C22⋊C4—221no—
1339C2×C22⋊C4—221no—
1340C2×C22⋊C4—221no—
1341C2×C42—111no—
1342C2×C42—221no—
1343C2×C42—221no—
1344C2×C42—221no—
1345#107—111no—
1346#107—111no—
1347#107—111no—
1348#107—111no—
1349#107—111no—
1350#107—111no—
1351#106—111no—
1352#106—111no—
1353#106—111no—
1354#106C22×D1111yescharacteristic, complemented
1355#106C22×D1111yescharacteristic, complemented
1356#106C22×D1111yescharacteristic, complemented
1357C4⋊C8—111no—
1358C4⋊C8—111no—
1359C4⋊C8—111no—
1360C4⋊C8C22×D1111yescharacteristic, complemented
1361#103—111no—
1362#103—111no—
1363#103—111no—
1364#103—111no—
1365#103—111no—
1366#103—111no—
1367#103—111no—
1368#103—111no—
1369#103—111no—
1370#103—111no—
1371#103—111no—
1372#103C22×D1111yescharacteristic, complemented
1373#103C22×D1111yescharacteristic, complemented
1374#103C22×D1111yescharacteristic, complemented
1375#102—111no—
1376#102—111no—
1377#102—111no—
1378#102—111no—
1379#102—111no—
1380#102—111no—
1381#102—111no—
1382#102—111no—
1383#102—111no—
1384#102—111no—
1385#102—111no—
1386#102—111no—
1387#102—111no—
1388#102—111no—
1389#102—111no—
1390#102—111no—
1391#102—111no—
1392#102—111no—
1393#102—111no—
1394#102C22×D1111yescharacteristic
1395#102C22×D1111yescharacteristic
1396#102C22×D1111yescharacteristic
1397#102C22×D1111yescharacteristic
1398#102C22×D1111yescharacteristic
1399#102C22×D1111yescharacteristic
1400#102C22×D1111yescharacteristic, complemented
1401C22⋊C8—111no—
1402C22⋊C8—111no—
1403C22⋊C8—111no—
1404C22⋊C8—111no—
1405C22⋊C8—111no—
1406C22⋊C8—111no—
1407C22⋊C8C22×D1111yescharacteristic
1408C22⋊C8C22×D1111yescharacteristic, complemented
1409#97—111no—
1410#97C22×D1111yescharacteristic, complemented
1411C4×C8—111no—
1412C4×C8—111no—
1413C2×C11—22no—
1414C2×C11—42no—
1415C2×C11—41no—
1416C2×C11—81no—
1417C2×C11—81no—
1418C2×C11C2×#54611yescharacteristic
1419C2×C11C2×#57511yescharacteristic
1420C2×C11#358511yescharacteristic
1421D11—22no—
1422D11—41no—
1423D11—41no—
1424D11—42no—
1425D11—81no—
1426C24—21no—
1427C24—111no—
1428C24—111no—
1429C24—221no—
1430C24—221no—
1431C24—221no—
1432C24—221no—
1433C24—221no—
1434C24—444no—
1435C24—444no—
1436C24—882no—
1437#41—22no—
1438#41—41no—
1439#41—44no—
1440#41—222no—
1441#41—222no—
1442#41—222no—
1443#41—222no—
1444#41—222no—
1445#41—441no—
1446#41—444no—
1447#41—441no—
1448#41—444no—
1449#41—441no—
1450C2×Q8—21no—
1451C2×Q8—111no—
1452C2×Q8—111no—
1453C2×Q8—221no—
1454C2×Q8—222no—
1455C2×Q8—222no—
1456C2×Q8—221no—
1457C2×Q8C23×D1111yescharacteristic
1458C2×D4—22no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—21no—
1464C2×D4—41no—
1465C2×D4—114no—
1466C2×D4—111no—
1467C2×D4—111no—
1468C2×D4—111no—
1469C2×D4—111no—
1470C2×D4—111no—
1471C2×D4—222no—
1472C2×D4—221no—
1473C2×D4—221no—
1474C2×D4—222no—
1475C2×D4—222no—
1476C2×D4—222no—
1477C2×D4—221no—
1478C2×D4—221no—
1479C2×D4—221no—
1480C2×D4—221no—
1481C2×D4—222no—
1482C2×D4—222no—
1483C2×D4—221no—
1484C2×D4—221no—
1485C2×D4—221no—
1486C2×D4—221no—
1487C2×D4—221no—
1488C2×D4—221no—
1489C2×D4—221no—
1490C2×D4—221no—
1491C2×D4—441no—
1492C2×D4—441no—
1493C2×D4—441no—
1494C2×D4—444no—
1495C2×D4—444no—
1496C2×D4—444no—
1497C2×D4—442no—
1498C2×D4—444no—
1499C2×D4—882no—
1500C2×D4D4×D1111yescharacteristic
1501C2×D4C23×D1111yescharacteristic
1502C2×D4C23×D1111yescharacteristic
1503C2×D4C23×D1111yescharacteristic
1504C22×C4—21no—
1505C22×C4—21no—
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—111no—
1510C22×C4—111no—
1511C22×C4—111no—
1512C22×C4—111no—
1513C22×C4—111no—
1514C22×C4—111no—
1515C22×C4—111no—
1516C22×C4—111no—
1517C22×C4—111no—
1518C22×C4—111no—
1519C22×C4—111no—
1520C22×C4—222no—
1521C22×C4—222no—
1522C22×C4—222no—
1523C22×C4—222no—
1524C22×C4—221no—
1525C22×C4—221no—
1526C22×C4—221no—
1527C22×C4—221no—
1528C22×C4—221no—
1529C22×C4—221no—
1530C22×C4—221no—
1531C22×C4—221no—
1532C22×C4—221no—
1533C22×C4—221no—
1534C22×C4—221no—
1535C22×C4—221no—
1536C22×C4—444no—
1537C22×C4—882no—
1538C22×C4C23×D1111yescharacteristic
1539C22×C4C23×D1111yescharacteristic
1540Q16—441no—
1541Q16—441no—
1542SD16—41no—
1543SD16—222no—
1544SD16—222no—
1545SD16—441no—
1546SD16—441no—
1547SD16—441no—
1548D8—22no—
1549D8—41no—
1550D8—222no—
1551D8—441no—
1552M16—41no—
1553M16—222no—
1554M16—222no—
1555M16—222no—
1556M16—222no—
1557M16—441no—
1558M16—441no—
1559M16—441no—
1560C2×C8—41no—
1561C2×C8—111no—
1562C2×C8—111no—
1563C2×C8—111no—
1564C2×C8—111no—
1565C2×C8—441no—
1566C2×C8—441no—
1567C2×C8—441no—
1568C2×C8C23×D1111yescharacteristic
1569C2×C8C23×D1111yescharacteristic
1570C2×C8C23×D1111yescharacteristic
1571C2×C8C23×D1111yescharacteristic
1572C4⋊C4—21no—
1573C4⋊C4—21no—
1574C4⋊C4—21no—
1575C4⋊C4—21no—
1576C4⋊C4—111no—
1577C4⋊C4—111no—
1578C4⋊C4—111no—
1579C4⋊C4—111no—
1580C4⋊C4—111no—
1581C4⋊C4—111no—
1582C4⋊C4—111no—
1583C4⋊C4—221no—
1584C4⋊C4—221no—
1585C4⋊C4—221no—
1586C4⋊C4—221no—
1587C4⋊C4—221no—
1588C4⋊C4—221no—
1589C4⋊C4—221no—
1590C4⋊C4—221no—
1591C4⋊C4—221no—
1592C4⋊C4—221no—
1593C4⋊C4—221no—
1594C4⋊C4—221no—
1595C4⋊C4—221no—
1596C4⋊C4—221no—
1597C4⋊C4—221no—
1598C4⋊C4—221no—
1599C4⋊C4—221no—
1600C4⋊C4D4×D1111yescharacteristic
1601C4⋊C4C23×D1111yescharacteristic
1602C4⋊C4C23×D1111yescharacteristic
1603C4⋊C4C23×D1111yescharacteristic
1604C4⋊C4C23×D1111yescharacteristic
1605C22⋊C4—21no—
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—111no—
1614C22⋊C4—111no—
1615C22⋊C4—111no—
1616C22⋊C4—111no—
1617C22⋊C4—111no—
1618C22⋊C4—111no—
1619C22⋊C4—221no—
1620C22⋊C4—221no—
1621C22⋊C4—221no—
1622C22⋊C4—221no—
1623C22⋊C4—221no—
1624C22⋊C4—221no—
1625C22⋊C4—221no—
1626C22⋊C4—221no—
1627C22⋊C4—221no—
1628C22⋊C4—221no—
1629C22⋊C4—221no—
1630C22⋊C4—221no—
1631C22⋊C4—221no—
1632C22⋊C4—221no—
1633C22⋊C4—221no—
1634C22⋊C4—221no—
1635C22⋊C4—221no—
1636C22⋊C4—221no—
1637C22⋊C4—221no—
1638C22⋊C4—221no—
1639C22⋊C4—221no—
1640C22⋊C4—221no—
1641C22⋊C4—221no—
1642C22⋊C4—221no—
1643C22⋊C4—221no—
1644C22⋊C4—221no—
1645C22⋊C4—221no—
1646C22⋊C4—221no—
1647C22⋊C4—221no—
1648C22⋊C4D4×D1111yescharacteristic
1649C22⋊C4D4×D1111yescharacteristic
1650C42—111no—
1651C42—111no—
1652C42—111no—
1653C42—221no—
1654C42—221no—
1655C42—221no—
1656C42—221no—
1657C42—221no—
1658C42—221no—
1659C42—221no—
1660C42—221no—
1661C42—221no—
1662C42C23×D1111yescharacteristic
1663C11#6115611yescharacteristic, complemented, Sylow
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—42no—
1668C23—42no—
1669C23—81no—
1670C23—111no—
1671C23—111no—
1672C23—111no—
1673C23—222no—
1674C23—224no—
1675C23—222no—
1676C23—222no—
1677C23—221no—
1678C23—221no—
1679C23—441no—
1680C23—441no—
1681C23—441no—
1682C23—442no—
1683C23—442no—
1684C23—442no—
1685C23—442no—
1686C23—442no—
1687C23—442no—
1688C23—442no—
1689C23—442no—
1690C23—442no—
1691C23—442no—
1692C23—442no—
1693C23—881no—
1694C23—881no—
1695C23—881no—
1696C23—8816no—
1697C23C2×D4×D1111yescharacteristic
1698C23C2×D4×D1111yescharacteristic
1699Q8—21no—
1700Q8—21no—
1701Q8—42no—
1702Q8—221no—
1703Q8—221no—
1704Q8—221no—
1705Q8—221no—
1706Q8—442no—
1707Q8—881no—
1708D4—22no—
1709D4—21no—
1710D4—21no—
1711D4—21no—
1712D4—21no—
1713D4—21no—
1714D4—42no—
1715D4—42no—
1716D4—42no—
1717D4—42no—
1718D4—81no—
1719D4—112no—
1720D4—224no—
1721D4—222no—
1722D4—221no—
1723D4—221no—
1724D4—221no—
1725D4—441no—
1726D4—442no—
1727D4—442no—
1728D4—442no—
1729D4—441no—
1730D4—442no—
1731D4—442no—
1732D4—442no—
1733D4—442no—
1734D4—442no—
1735D4—881no—
1736D4—881no—
1737D4—881no—
1738D4—881no—
1739D4—881no—
1740D4#41×D1112yes—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—42no—
1751C2×C4—42no—
1752C2×C4—42no—
1753C2×C4—42no—
1754C2×C4—81no—
1755C2×C4—111no—
1756C2×C4—112no—
1757C2×C4—112no—
1758C2×C4—111no—
1759C2×C4—111no—
1760C2×C4—111no—
1761C2×C4—111no—
1762C2×C4—222no—
1763C2×C4—222no—
1764C2×C4—222no—
1765C2×C4—222no—
1766C2×C4—222no—
1767C2×C4—222no—
1768C2×C4—221no—
1769C2×C4—221no—
1770C2×C4—221no—
1771C2×C4—221no—
1772C2×C4—221no—
1773C2×C4—221no—
1774C2×C4—221no—
1775C2×C4—221no—
1776C2×C4—221no—
1777C2×C4—221no—
1778C2×C4—441no—
1779C2×C4—441no—
1780C2×C4—442no—
1781C2×C4—442no—
1782C2×C4—442no—
1783C2×C4—442no—
1784C2×C4—442no—
1785C2×C4—442no—
1786C2×C4—881no—
1787C2×C4—881no—
1788C2×C4—881no—
1789C2×C4—881no—
1790C2×C4—881no—
1791C2×C4—881no—
1792C2×C4C2×D4×D1111yescharacteristic
1793C2×C4C2×D4×D1111yescharacteristic
1794C2×C4C2×D4×D1111yescharacteristic
1795C2×C4C2×D4×D1111yescharacteristic
1796C2×C4C24×D1111yescharacteristic
1797C8—21no—
1798C8—21no—
1799C8—21no—
1800C8—21no—
1801C8—221no—
1802C8—221no—
1803C8—221no—
1804C8—221no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—22no—
1810C22—21no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—84no—
1820C22—112no—
1821C22—221no—
1822C22—221no—
1823C22—221no—
1824C22—221no—
1825C22—221no—
1826C22—221no—
1827C22—222no—
1828C22—221no—
1829C22—221no—
1830C22—444no—
1831C22—448no—
1832C22—441no—
1833C22—441no—
1834C22—441no—
1835C22—441no—
1836C22—441no—
1837C22—884no—
1838C22—882no—
1839C22—884no—
1840C22—884no—
1841C22—884no—
1842C22#1062330412yes—
1843C22C22×D4×D1111yescharacteristic
1844C4—21no—
1845C4—21no—
1846C4—21no—
1847C4—21no—
1848C4—41no—
1849C4—41no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4—112no—
1854C4—221no—
1855C4—221no—
1856C4—221no—
1857C4—221no—
1858C4—441no—
1859C4—441no—
1860C4—441no—
1861C4—441no—
1862C4—441no—
1863C4—441no—
1864C4C2×#41×D1111yescharacteristic
1865C4D11×H(5,𝔽2)11yescharacteristic
1866C2—22no—
1867C2—41no—
1868C2—42no—
1869C2—81no—
1870C2—81no—
1871C2—222no—
1872C2—441no—
1873C2—441no—
1874C2—442no—
1875C2—881no—
1876C2D11×#54611yescharacteristic
1877C2C2×#1062330411yescharacteristic
1878C2#1308339411yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3306C2
socleC22×C11C23×D4
hypercenter#3306D11
hypocenterC11#61156
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #13082179C2semidirect
2. D11×#546C2semidirect
3. #13080835C2semidirect
4. #13080833C2semidirect
5. #13080812C2semidirect
6. #13080810C2semidirect
7. #13080779C2semidirect
8. #13080777C2semidirect
9. #13080699C2semidirect
10. #13080697C2semidirect
11. #13080651C2semidirect
12. #13080649C2semidirect
13. #13080571C2semidirect
14. #13080472C2semidirect
15. #13080470C2semidirect
16. #13080449C2semidirect
17. #13080447C2semidirect
18. #13079001C2semidirect
19. #13078559C2semidirect
20. #13078553C2semidirect
21. #13078414C2semidirect
22. #13078239C2semidirect
23. #13078234C2semidirect
24. #13078105C2semidirect
25. #13077854C2semidirect
26. #13077840C2semidirect
27. #13077427C2semidirect
28. #13077349C2semidirect
29. #13077132C2semidirect
30. C2×#10622383C2semidirect
31. C11×#3306C2semidirect
34. C11×#547C22semidirect
40. C2×#66968C22semidirect
43. C2×M16×D11C22semidirect
45. #10623263C22semidirect
46. #10623259C22semidirect
59. #10623149C22semidirect
60. #10623149C22semidirect
64. #10623137C22semidirect
69. #10623094C22semidirect
74. #10623074C22semidirect
75. C4×#4341C22semidirect
76. #10623044C22semidirect
77. #10623044C22semidirect
79. C2×#66945C22semidirect
82. C11×#489C22semidirect
83. C11×#483C22semidirect
84. C11×#481C22semidirect
85. C11×#476C22semidirect
86. C11×#469C22semidirect
87. C11×#465C22semidirect
88. C11×#463C22semidirect
89. C11×#449C22semidirect
90. C11×#447C22semidirect
91. C11×#442C22semidirect
92. C11×#435C22semidirect
93. C11×#417C22semidirect
94. C2×C11×#102C22semidirect
95. #10622852C22semidirect
96. #10622845C22semidirect
97. #10622831C22semidirect
98. C2×#66896C22semidirect
99. #10622787C22semidirect
100. #10622785C22semidirect
101. #10622778C22semidirect
102. #10622771C22semidirect
103. #10622770C22semidirect
104. #10622769C22semidirect
105. #10622769C22semidirect
106. #10622766C22semidirect
107. D8×Dic11C22semidirect
108. #10622747C22semidirect
109. #10622746C22semidirect
110. #10622741C22semidirect
111. #10622729C22semidirect
112. C2×#66885C22semidirect
113. C8×C22⋊D11C22semidirect
114. #10622702C22semidirect
115. #10622697C22semidirect
116. #10622668C22semidirect
117. #10622667C22semidirect
118. #10622664C22semidirect
119. #10622657C22semidirect
120. #10622655C22semidirect
121. #10622654C22semidirect
122. #10622652C22semidirect
123. #10622650C22semidirect
124. #10622649C22semidirect
125. #10622646C22semidirect
126. #10622631C22semidirect
127. #10622629C22semidirect
128. #10622627C22semidirect
129. #10622624C22semidirect
130. #10622620C22semidirect
131. #10622584C22semidirect
132. #10622581C22semidirect
133. #10622579C22semidirect
134. C2×#66873C22semidirect
135. #10622484C22semidirect
136. #10622484C22semidirect
137. #10622481C22semidirect
138. #10622480C22semidirect
139. #10622480C22semidirect
140. #10622479C22semidirect
141. #10622479C22semidirect
142. #10622477C22semidirect
143. #10622474C22semidirect
144. #10622474C22semidirect
145. #10622474C22semidirect
146. #10622465C22semidirect
147. #10622459C22semidirect
148. #10622458C22semidirect
149. #10622450C22semidirect
150. #10622449C22semidirect
151. #10622429C22semidirect
152. #10622427C22semidirect
153. #10622427C22semidirect
154. #10622423C22semidirect
155. #10622417C22semidirect
156. #10622417C22semidirect
157. #10622415C22semidirect
158. #10622415C22semidirect
159. #10622415C22semidirect
160. #10622413C22semidirect
161. #10622413C22semidirect
162. #10622411C22semidirect
163. #10622397C22semidirect
164. #10622397C22semidirect
165. #10622396C22semidirect
166. #10622393C22semidirect
167. #10622391C22semidirect
168. #10622389C22semidirect
169. #10622389C22semidirect
170. #10622388C22semidirect
171. #10622385C22semidirect
172. #10622385C22semidirect
173. #10622384C22semidirect
180. #10622383C22semidirect
181. #10622383C22semidirect
182. #10622383C22semidirect
183. #10622383C22semidirect
184. #10622381C22semidirect
185. #10622381C22semidirect
186. #10622380C22semidirect
187. #10622379C22semidirect
188. #10622379C22semidirect
189. #10622371C22semidirect
190. #10622369C22semidirect
191. #10622349C22semidirect
192. #10622346C22semidirect
193. #10622344C22semidirect
194. #10622342C22semidirect
196. #10622339C22semidirect
197. (C22⋊D11)⋊C8C22semidirect
198. #10622335C22semidirect
199. #10622327C22semidirect
200. #10622323C22semidirect
201. #10622320C22semidirect
202. #10622319C22semidirect
233. C2×C11×SD16C23semidirect
236. C2×C11×M16C23semidirect
238. C11×C4⋊Q8C23semidirect
248. C11×#121C23semidirect
252. C4×D4×C11C23semidirect
254. C2×C11×C4⋊C4C23semidirect
264. C2×#4326C23semidirect
273. #66991C23semidirect
288. D4×Dic11C23semidirect
291. C2×#4324C23semidirect
312. C2×C4⋊Dic11C23semidirect
315. #66977C23semidirect
319. C2×#4318C23semidirect
325. C2×Dic44C23semidirect
335. C2×C8×D11C23semidirect
336. C2×C8×D11C23semidirect
344. #66950C23semidirect
361. #66945C23semidirect
362. #66945C23semidirect
367. #66943C23semidirect
368. #66943C23semidirect
372. #66940C23semidirect
417. #66922C23semidirect
418. C4×Dic22C23semidirect
419. C11×#106C23semidirect
420. C11×#106C23semidirect
421. C11×#106C23semidirect
422. C11×C4⋊C8C23semidirect
423. C11×#103C23semidirect
424. C11×#103C23semidirect
425. C11×#103C23semidirect
432. C11×#102C23semidirect
434. C11×C22⋊C8C23semidirect
435. C11×#97C23semidirect
436. #66899C23semidirect
437. #66899C23semidirect
438. #66899C23semidirect
445. #66896C23semidirect
447. C22⋊(C11⋊C8)C23semidirect
456. (C2×D11)⋊C8C23semidirect
457. (C2×D11)⋊C8C23semidirect
458. #66882C23semidirect
459. #66882C23semidirect
460. #66882C23semidirect
461. #66880C23semidirect
462. #66880C23semidirect
463. #66880C23semidirect
464. #66880C23semidirect
465. Dic11⋊C8C23semidirect
466. Dic11⋊C8C23semidirect
467. C8×Dic11C23semidirect
468. C8×Dic11C23semidirect
469. #66874C23semidirect
470. #66874C23semidirect
471. #66874C23semidirect
472. #66874C23semidirect
479. #66872C23semidirect
480. #66872C23semidirect
481. #66872C23semidirect
482. #66871C23semidirect
483. #66871C23semidirect
484. #66871C23semidirect
485. C4⋊(C11⋊C8)C23semidirect
486. #66867C23semidirect
565. D4×D11#41semidirect
738. #3306D11semidirect
914. #547C2×D11semidirect
950. #489C2×D11semidirect
962. #483C2×D11semidirect
968. #481C2×D11semidirect
976. #476C2×D11semidirect
982. #469C2×D11semidirect
994. #465C2×D11semidirect
1002. #463C2×D11semidirect
1014. #449C2×D11semidirect
1018. #447C2×D11semidirect
1020. #442C2×D11semidirect
1032. #435C2×D11semidirect
1056. #417C2×D11semidirect
1064. C2×#102C2×D11semidirect
1169. C2×SD16C22×D11semidirect
1183. C2×M16C22×D11semidirect
1189. C4⋊Q8C22×D11semidirect
1261. #121C22×D11semidirect
1301. C4×D4C22×D11semidirect
1323. C2×C4⋊C4C22×D11semidirect
1354. #106C22×D11semidirect
1355. #106C22×D11semidirect
1356. #106C22×D11semidirect
1360. C4⋊C8C22×D11semidirect
1372. #103C22×D11semidirect
1373. #103C22×D11semidirect
1374. #103C22×D11semidirect
1400. #102C22×D11semidirect
1408. C22⋊C8C22×D11semidirect
1410. #97C22×D11semidirect
1663. C11#61156semidirect

Maximal subgroups

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

subgroupindex
#130821792
D11×#5462
#130808352
#130808332
#130808122
#130808102
#130807792
#130807772
#130806992
#130806972
#130806512
#130806492
#130805712
#130804722
#130804702
#130804492
#130804472
#130790012
#130785592
#130785532
#130784142
#130782392
#130782342
#130781052
#130778542
#130778402
#130774272
#130773492
#130771322
C2×#106223832
C11×#33062
#6115611