Finite Group Databasebeta

← #15638650

Subgroups — #15638650

Order 2816.

2094 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082443C211yesmaximal, characteristic
2D4×Q8×D11C211yesmaximal, characteristic, complemented
3#13080794C211yesmaximal, characteristic, complemented
4#13080792C211yesmaximal, characteristic, complemented
5#13080782C211yesmaximal, characteristic, complemented
6#13080780C211yesmaximal, characteristic, complemented
7#13080673C211yesmaximal, characteristic, complemented
8#13080671C211yesmaximal, characteristic, complemented
9#13080669C211yesmaximal, characteristic, complemented
10#13080667C211yesmaximal, characteristic, complemented
11#13080185C211yesmaximal, characteristic, complemented
12#13080184C211yesmaximal, characteristic, complemented
13#13080181C211yesmaximal, characteristic, complemented
14#13080180C211yesmaximal, characteristic, complemented
15#13080130C211yesmaximal, characteristic, complemented
16#13080126C211yesmaximal, characteristic, complemented
17#13080122C211yesmaximal, characteristic, complemented
18#13079642C211yesmaximal, characteristic, complemented
19#13079639C211yesmaximal, characteristic, complemented
20#13079444C211yesmaximal, characteristic, complemented
21#13079441C211yesmaximal, characteristic, complemented
22#13079387C211yesmaximal, characteristic, complemented
23#13079370C211yesmaximal, characteristic, complemented
24#13078786C211yesmaximal, characteristic, complemented
25#13078785C211yesmaximal, characteristic, complemented
26#13077848C211yesmaximal, characteristic, complemented
27#13077847C211yesmaximal, characteristic, complemented
28D11×#451C211yesmaximal, characteristic, complemented
29C2×#10622783C211yesmaximal, characteristic, complemented
30#13077641C211yesmaximal, characteristic, complemented
31C11×#3266C211yesmaximal, characteristic, complemented
32C22×Q8×D11C2211yescharacteristic
33C22×Q8×D11C2211yescharacteristic, complemented
34C2×C11×#137C2211yescharacteristic, complemented
35C22×C11×SD16C2211yescharacteristic, complemented
36D4×Q8×C11C2211yescharacteristic
37C11×#546C2211yescharacteristic
38#10623362C2211yescharacteristic
39#10623359C2211yescharacteristic
40C2×#67004C2211yescharacteristic, complemented
41Q8×C22⋊D11C2211yescharacteristic
42Q8×C22⋊D11C2211yescharacteristic, complemented
43#10623337C2211yescharacteristic
44C2×#66991C2211yescharacteristic
45C22×#4324C2211yescharacteristic, complemented
46C2×Q16×D11C2211yescharacteristic, complemented
47C2×Q16×D11C2211yescharacteristic, complemented
48C2×#66968C2211yescharacteristic, complemented
49C2×#66968C2211yescharacteristic, complemented
50#10623258—21no—
51#10623258C2211yescharacteristic, complemented
52D11×C4⋊Q8—21no—
53D11×C4⋊Q8C2211yescharacteristic, complemented
54#10623211C2211yescharacteristic
55#10623208C2211yescharacteristic
56#10623192—21no—
57#10623191—21no—
58#10623173C2211yescharacteristic
59#10623163—21no—
60#10623163—21no—
61#10623163C2211yescharacteristic
62#10623163C2211yescharacteristic, complemented
63D11×C22⋊Q8—21no—
64D11×C22⋊Q8—21no—
65D11×C22⋊Q8C2211yescharacteristic
66D11×C22⋊Q8C2211yescharacteristic
67D11×C22⋊Q8C2211yescharacteristic, complemented
68#10623145—21no—
69#10623145C2211yescharacteristic
70#10623144—21no—
71#10623137C2211yescharacteristic
72#10623120—21no—
73#10623118—21no—
74Q8×D44C2211yescharacteristic, complemented
75C4×Q8×D11C2211yescharacteristic, complemented
76#10623089C2211yescharacteristic
77#10623088C2211yescharacteristic
78C4×D4×D11—21no—
79C4×D4×D11C2211yescharacteristic
80#10623072C2211yescharacteristic
81D4×Dic22—21no—
82D4×Dic22C2211yescharacteristic
83#10623026—21no—
84#10623017—21no—
85C11×#497C2211yescharacteristic, complemented
86C11×#468C2211yescharacteristic, complemented
87C11×#467C2211yescharacteristic, complemented
88C11×#464C2211yescharacteristic, complemented
89C11×#461C2211yescharacteristic, complemented
90C11×#452C2211yescharacteristic, complemented
91C11×#451C2211yescharacteristic, complemented
92C11×#450C2211yescharacteristic, complemented
93C11×#448C2211yescharacteristic, complemented
94C11×#440C2211yescharacteristic, complemented
95C11×#435C2211yescharacteristic
96#10622852C2211yescharacteristic, complemented
97#10622841C2211yescharacteristic, complemented
98#10622841C2211yescharacteristic, complemented
99#10622838C2211yescharacteristic, complemented
100C2×#66899C2211yescharacteristic, complemented
101#10622831C2211yescharacteristic, complemented
102#10622802C2211yescharacteristic, complemented
103#10622799C2211yescharacteristic, complemented
104#10622799C2211yescharacteristic, complemented
105#10622799C2211yescharacteristic, complemented
106#10622799C2211yescharacteristic, complemented
107#10622799C2211yescharacteristic, complemented
108#10622799C2211yescharacteristic, complemented
109#10622797C2211yescharacteristic, complemented
110#10622795C2211yescharacteristic, complemented
111#10622795C2211yescharacteristic, complemented
112#10622787C2211yescharacteristic, complemented
113#10622786C2211yescharacteristic, complemented
114#10622784C2211yescharacteristic, complemented
115#10622784C2211yescharacteristic, complemented
116#10622783C2211yescharacteristic
117#10622783C2211yescharacteristic
118#10622783C2211yescharacteristic
119#10622783C2211yescharacteristic
120#10622783C2211yescharacteristic
121#10622783C2211yescharacteristic
122#10622783C2211yescharacteristic, complemented
123#10622783C2211yescharacteristic, complemented
124#10622783C2211yescharacteristic, complemented
125#10622783C2211yescharacteristic, complemented
126#10622783C2211yescharacteristic, complemented
127#10622783C2211yescharacteristic, complemented
128#10622780C2211yescharacteristic, complemented
129#10622780C2211yescharacteristic, complemented
130#10622779C2211yescharacteristic, complemented
131#10622777C2211yescharacteristic, complemented
132#10622775C2211yescharacteristic, complemented
133#10622775C2211yescharacteristic, complemented
134#10622750C2211yescharacteristic, complemented
135#10622740C2211yescharacteristic, complemented
136#10622739C2211yescharacteristic, complemented
137#10622733C2211yescharacteristic, complemented
138#10622729C2211yescharacteristic, complemented
139#10622724C2211yescharacteristic
140C2×(C2×D11)⋊C8C2211yescharacteristic
141C2×#66880C2211yescharacteristic, complemented
142#10622703C2211yescharacteristic, complemented
143#10622695C2211yescharacteristic, complemented
144#10622673C2211yescharacteristic, complemented
145#10622667C2211yescharacteristic, complemented
146#10622665C2211yescharacteristic, complemented
147#10622664C2211yescharacteristic, complemented
148#10622664C2211yescharacteristic, complemented
149#10622663C2211yescharacteristic, complemented
150#10622658C2211yescharacteristic, complemented
151#10622656C2211yescharacteristic, complemented
152#10622655C2211yescharacteristic, complemented
153#10622653C2211yescharacteristic, complemented
154#10622643C2211yescharacteristic, complemented
155#10622635C2211yescharacteristic, complemented
156#10622632C2211yescharacteristic, complemented
157#10622631C2211yescharacteristic, complemented
158#10622624C2211yescharacteristic
159#10622501C2211yescharacteristic, complemented
160#10622497C2211yescharacteristic, complemented
161#10622497C2211yescharacteristic, complemented
162#10622490C2211yescharacteristic, complemented
163#10622462C2211yescharacteristic, complemented
164#10622449C2211yescharacteristic, complemented
165#10622448C2211yescharacteristic, complemented
166#10622442C2211yescharacteristic, complemented
167#10622429C2211yescharacteristic, complemented
168#10622428C2211yescharacteristic, complemented
169#10622422C2211yescharacteristic, complemented
170#10622422C2211yescharacteristic, complemented
171#10622421C2211yescharacteristic, complemented
172#10622421C2211yescharacteristic, complemented
173#10622421C2211yescharacteristic, complemented
174#10622421C2211yescharacteristic, complemented
175#10622415C2211yescharacteristic, complemented
176#10622415C2211yescharacteristic, complemented
177D11×#103C2211yescharacteristic, complemented
178D11×#103C2211yescharacteristic, complemented
179#10622412C2211yescharacteristic, complemented
180#10622410C2211yescharacteristic, complemented
181#10622410C2211yescharacteristic, complemented
182#10622402C2211yescharacteristic, complemented
183#10622396C2211yescharacteristic, complemented
184#10622393C2211yescharacteristic, complemented
185#10622391C2211yescharacteristic, complemented
186#10622391C2211yescharacteristic, complemented
187#10622390C2211yescharacteristic
188#10622390C2211yescharacteristic
189#10622380C2211yescharacteristic, complemented
190#10622370C2211yescharacteristic, complemented
191#10622352C2211yescharacteristic, complemented
192#10622352C2211yescharacteristic, complemented
193#10622343C2211yescharacteristic
194#10622341C2211yescharacteristic, complemented
195#10622339C2211yescharacteristic, complemented
196D11×C22⋊C8C2211yescharacteristic
197#10622336C2211yescharacteristic, complemented
198#10622334C2211yescharacteristic, complemented
199#10622329C2211yescharacteristic, complemented
200#10622319C2211yescharacteristic, complemented
201#10622318C2211yescharacteristic, complemented
202#10622316C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205C22×Q8×C11C2311yescharacteristic
206C22×D4×C11C2311yescharacteristic
207C22×C22⋊D11—21no—
208C2×Q8×D11—21no—
209C2×Q8×D11—21no—
210C2×Q8×D11—21no—
211C2×Q8×D11—21no—
212C2×Q8×D11—42no—
213C2×Q8×D11—42no—
214C2×Q8×D11—42no—
215C2×Q8×D11—42no—
216C2×Q8×D11C2311yescharacteristic
217C2×Q8×D11C2311yescharacteristic
218C2×Q8×D11C2311yescharacteristic
219C2×Q8×D11C2311yescharacteristic
220C2×Q8×D11C2311yescharacteristic
221C2×Q8×D11C2311yescharacteristic
222C2×Q8×D11C2311yescharacteristic
223C2×Q8×D11C2311yescharacteristic
224C2×#4341C2311yescharacteristic
225C2×D4×D11D411yescharacteristic
226C22×C4×D11—21no—
227C22×C4×D11—21no—
228C22×C4×D11C2311yescharacteristic
229C22×C4×D11C2311yescharacteristic
230C22×Dic22—21no—
231C22×Dic22—21no—
232C22×Dic22C2311yescharacteristic
233C22×Dic22C2311yescharacteristic
234C11×#137—42no—
235C2×C11×Q16C2311yescharacteristic
236C2×C11×Q16C2311yescharacteristic
237C2×C11×Q16C2311yescharacteristic
238C2×C11×SD16—42no—
239C2×C11×SD16C2311yescharacteristic
240C2×C11×SD16C2311yescharacteristic
241C2×C11×SD16C2311yescharacteristic
242C2×C11×SD16C2311yescharacteristic
243C2×C11×SD16C2311yescharacteristic
244C2×C11×SD16C2311yescharacteristic
245C2×C11×M16C2311yescharacteristic
246C22×C8×C11C2311yescharacteristic
247C11×C4⋊Q8—21no—
248C11×C4⋊Q8C2311yescharacteristic
249C11×#124C2311yescharacteristic
250C11×#123—21no—
251C11×C22⋊Q8—21no—
252C11×C22⋊Q8—21no—
253C11×C22⋊Q8C2311yescharacteristic
254C11×C22⋊Q8C2311yescharacteristic
255C11×C22⋊Q8C2311yescharacteristic
256C11×#121—21no—
257C11×#121C2311yescharacteristic
258C11×#120—21no—
259C4×Q8×C11C2311yescharacteristic
260C4×D4×C11—21no—
261C4×D4×C11C2311yescharacteristic
262C4×D4×C11C2311yescharacteristic
263C2×C11×C22⋊C4—21no—
264#67006—21no—
265C2×C22⋊Dic11—21no—
266C2×C22⋊Dic11—21no—
267#67004—42no—
268#66999—21no—
269#66999—21no—
270#66999C2311yescharacteristic
271#66999C2311yescharacteristic
272#66999C2311yescharacteristic
273#66999C2311yescharacteristic
274Q8×Dic11C2311yescharacteristic
275Q8×Dic11C2311yescharacteristic
276#66997—21no—
277#66997—21no—
278#66997C2311yescharacteristic
279#66997C2311yescharacteristic
280C2×#4326C2311yescharacteristic
281C2×#4326C2311yescharacteristic
282C2×#4326C2311yescharacteristic
283C2×#4326C2311yescharacteristic
284C2×#4326C2311yescharacteristic
285C2×#4326C2311yescharacteristic
286#66992—21no—
287#66991—21no—
288#66991—21no—
289#66991—21no—
290#66991—21no—
291#66991C2311yescharacteristic
292#66991C2311yescharacteristic
293#66991C2311yescharacteristic
294#66991C2311yescharacteristic
295#66991C2311yescharacteristic
296#66990—21no—
297#66990—21no—
298#66989—21no—
299#66989C2311yescharacteristic
300#66988—21no—
301#66988—21no—
302#66988—21no—
303#66988—21no—
304D4×Dic11—21no—
305D4×Dic11—21no—
306D4×Dic11D411yescharacteristic
307D4×Dic11C2311yescharacteristic
308C2×#4324—42no—
309C2×#4324C2311yescharacteristic
310C2×#4324C2311yescharacteristic
311C2×#4324C2311yescharacteristic
312C2×#4324C2311yescharacteristic
313C2×#4324C2311yescharacteristic
314C2×#4324C2311yescharacteristic
315#66982—21no—
316C4×C22⋊D11—21no—
317C4×C22⋊D11—21no—
318C4×C22⋊D11—21no—
319C4×C22⋊D11—21no—
320C4×C22⋊D11—21no—
321C4×C22⋊D11—21no—
322C4×C22⋊D11—21no—
323C4×C22⋊D11C2311yescharacteristic
324C4×C22⋊D11C2311yescharacteristic
325#66979—21no—
326#66979C2311yescharacteristic
327C2×C4⋊Dic11C2311yescharacteristic
328#66977—21no—
329#66977—21no—
330#66977—21no—
331#66977C2311yescharacteristic
332#66977C2311yescharacteristic
333#66977C2311yescharacteristic
334#66977C2311yescharacteristic
335C2×#4318C2311yescharacteristic
336C22×C11⋊C8C2311yescharacteristic
337Q16×D11—42no—
338Q16×D11—42no—
339#66968—42no—
340#66968—42no—
341C2×Dic44C2311yescharacteristic
342C2×Dic44C2311yescharacteristic
343C2×Dic44C2311yescharacteristic
344C2×#4313C2311yescharacteristic
345C2×#4313C2311yescharacteristic
346C2×C8×D11C2311yescharacteristic
347C2×C8×D11C2311yescharacteristic
348#66951—21no—
349#66950—21no—
350#66950—21no—
351#66950C2311yescharacteristic
352#66950C2311yescharacteristic
353#66950C2311yescharacteristic
354#66949—21no—
355#66949—21no—
356#66949—21no—
357#66949—21no—
358#66949—21no—
359#66949—21no—
360#66949—21no—
361#66946—21no—
362#66946D411yescharacteristic
363#66945C2311yescharacteristic
364C4⋊C4×D11—21no—
365C4⋊C4×D11—21no—
366C4⋊C4×D11—21no—
367C4⋊C4×D11—21no—
368C4⋊C4×D11—21no—
369C4⋊C4×D11—21no—
370C4⋊C4×D11D411yescharacteristic
371C4⋊C4×D11C2311yescharacteristic
372C4⋊C4×D11C2311yescharacteristic
373#66943—21no—
374#66943C2311yescharacteristic
375#66942—21no—
376#66941—21no—
377#66941—21no—
378#66941—21no—
379#66941—21no—
380#66941—21no—
381#66941—21no—
382#66940—21no—
383#66940C2311yescharacteristic
384#66939—21no—
385#66938—21no—
386#66937—21no—
387#66937—21no—
388#66936—21no—
389#66936—21no—
390#66936—21no—
391(C22⋊D11)⋊C4—21no—
392(C22⋊D11)⋊C4—21no—
393(C22⋊D11)⋊C4—21no—
394(C22⋊D11)⋊C4—21no—
395(C22⋊D11)⋊C4—21no—
396(C22⋊D11)⋊C4—21no—
397(C22⋊D11)⋊C4D411yescharacteristic
398(C22⋊D11)⋊C4D411yescharacteristic
399C22⋊C4×D11—21no—
400C22⋊C4×D11—21no—
401C22⋊C4×D11—21no—
402C22⋊C4×D11D411yescharacteristic
403C22⋊C4×D11D411yescharacteristic
404#66932—21no—
405#66932—21no—
406#66932—21no—
407#66932—21no—
408#66932—21no—
409#66931—21no—
410#66931—21no—
411#66931—21no—
412#66931—21no—
413#66931—21no—
414#66931—21no—
415#66931—21no—
416#66931—21no—
417#66930—21no—
418#66930—21no—
419#66930—21no—
420C4×D44—21no—
421C4×D44C2311yescharacteristic
422C42×D11—21no—
423C42×D11C2311yescharacteristic
424#66923C2311yescharacteristic
425#66922—21no—
426#66922C2311yescharacteristic
427C4×Dic22—21no—
428C4×Dic22C2311yescharacteristic
429C4×Dic22C2311yescharacteristic
430C11×#107C2311yescharacteristic
431C11×C4⋊C8C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×C22⋊C8C2311yescharacteristic
439C11×C22⋊C8C2311yescharacteristic
440C11×#97C2311yescharacteristic
441#66899C2311yescharacteristic
442#66899C2311yescharacteristic
443#66899C2311yescharacteristic
444#66899C2311yescharacteristic
445#66899C2311yescharacteristic
446#66899C2311yescharacteristic
447#66899C2311yescharacteristic
448#66899C2311yescharacteristic
449#66899C2311yescharacteristic
450#66899C2311yescharacteristic
451#66896C2311yescharacteristic
452#66896C2311yescharacteristic
453C22⋊(C11⋊C8)C2311yescharacteristic
454C22⋊(C11⋊C8)C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456(C2×D11)⋊C8C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463#66882C2311yescharacteristic
464#66881C2311yescharacteristic
465#66881C2311yescharacteristic
466#66880C2311yescharacteristic
467#66880C2311yescharacteristic
468#66880C2311yescharacteristic
469#66880C2311yescharacteristic
470#66880C2311yescharacteristic
471#66880C2311yescharacteristic
472#66880C2311yescharacteristic
473#66880C2311yescharacteristic
474#66880C2311yescharacteristic
475#66880C2311yescharacteristic
476#66879C2311yescharacteristic
477#66879C2311yescharacteristic
478Dic11⋊C8C2311yescharacteristic
479Dic11⋊C8C2311yescharacteristic
480#66874C2311yescharacteristic
481#66874C2311yescharacteristic
482#66874C2311yescharacteristic
483#66874C2311yescharacteristic
484#66872C2311yescharacteristic
485#66872C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489#66867C2311yescharacteristic
490#61574—111nomaximal, Sylow
491C24×C11—21no—
492C23×D11C2×D411yescharacteristic
493C23×D11C2×D411yescharacteristic
494C11×#41—41no—
495C11×#41—41no—
496C2×Q8×C11—21no—
497C2×Q8×C11—21no—
498C2×Q8×C11—22no—
499C2×Q8×C11—22no—
500C2×Q8×C11—41no—
501C2×Q8×C11—41no—
502C2×Q8×C11C2411yescharacteristic
503C2×Q8×C11C2411yescharacteristic
504C2×Q8×C11C2411yescharacteristic
505C2×Q8×C11C2411yescharacteristic
506C2×D4×C11—21no—
507C2×D4×C11—21no—
508C2×D4×C11—21no—
509C2×D4×C11—41no—
510C2×D4×C11—41no—
511C2×D4×C11C2×D411yescharacteristic
512C2×D4×C11C2411yescharacteristic
513C2×D4×C11C2411yescharacteristic
514C22×C4×C11—21no—
515C22×C4×C11—21no—
516C22×C4×C11—21no—
517C22×C4×C11—21no—
518C22×C4×C11C2411yescharacteristic
519C22×C4×C11C2411yescharacteristic
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11—44no—
527C2×C22⋊D11C2×D411yescharacteristic
528C2×C22⋊D11C2×D411yescharacteristic
529C22×Dic11—21no—
530C22×Dic11—21no—
531C22×Dic11—21no—
532C22×Dic11—21no—
533C22×Dic11—21no—
534C22×Dic11C2×D411yescharacteristic
535C22×Dic11C2×D411yescharacteristic
536Q8×D11—22no—
537Q8×D11—22no—
538Q8×D11—22no—
539Q8×D11—22no—
540Q8×D11—22no—
541Q8×D11—22no—
542Q8×D11—41no—
543Q8×D11—41no—
544Q8×D11—41no—
545Q8×D11—41no—
546Q8×D11—41no—
547Q8×D11—41no—
548Q8×D11—41no—
549Q8×D11—41no—
550Q8×D11—41no—
551Q8×D11—41no—
552Q8×D11—44no—
553Q8×D11—44no—
554Q8×D11—44no—
555Q8×D11—44no—
556#4341—41no—
557#4341—41no—
558D4×D11—24no—
559C2×D44C2×D411yescharacteristic
560C2×C4×D11—21no—
561C2×C4×D11—21no—
562C2×C4×D11—21no—
563C2×C4×D11—21no—
564C2×C4×D11—21no—
565C2×C4×D11—21no—
566C2×C4×D11—21no—
567C2×C4×D11—21no—
568C2×C4×D11—21no—
569C2×C4×D11—21no—
570C2×C4×D11—41no—
571C2×C4×D11—41no—
572C2×C4×D11—41no—
573C2×C4×D11—41no—
574C2×C4×D11—44no—
575C2×C4×D11—44no—
576C2×C4×D11C2×D411yescharacteristic
577C2×C4×D11C2×D411yescharacteristic
578C2×C4×D11C2×D411yescharacteristic
579C2×C4×D11C2×D411yescharacteristic
580C2×C4×D11C2×D411yescharacteristic
581C2×C4×D11C2×D411yescharacteristic
582C2×C4×D11C2411yescharacteristic
583C2×C4×D11C2411yescharacteristic
584C2×C4×D11C2411yescharacteristic
585C2×Dic22—21no—
586C2×Dic22—22no—
587C2×Dic22—22no—
588C2×Dic22—21no—
589C2×Dic22—21no—
590C2×Dic22—21no—
591C2×Dic22—21no—
592C2×Dic22—21no—
593C2×Dic22—21no—
594C2×Dic22—21no—
595C2×Dic22—21no—
596C2×Dic22—21no—
597C2×Dic22—41no—
598C2×Dic22—41no—
599C2×Dic22—44no—
600C2×Dic22—44no—
601C2×Dic22C2411yescharacteristic
602C2×Dic22C2411yescharacteristic
603C2×Dic22C2411yescharacteristic
604C2×Dic22C2411yescharacteristic
605C11×Q16—22no—
606C11×Q16—41no—
607C11×Q16—41no—
608C11×SD16—22no—
609C11×SD16—22no—
610C11×SD16—41no—
611C11×SD16—41no—
612C11×SD16—41no—
613C11×SD16—41no—
614C11×M16—41no—
615C2×C8×C11—41no—
616C2×C8×C11C2411yescharacteristic
617C2×C8×C11C2411yescharacteristic
618C2×C8×C11C2411yescharacteristic
619C2×C8×C11C2411yescharacteristic
620C11×C4⋊C4—21no—
621C11×C4⋊C4—21no—
622C11×C4⋊C4—21no—
623C11×C4⋊C4—21no—
624C11×C4⋊C4—21no—
625C11×C4⋊C4—21no—
626C11×C4⋊C4C2×D411yescharacteristic
627C11×C4⋊C4C2411yescharacteristic
628C11×C4⋊C4C2411yescharacteristic
629C11×C22⋊C4—21no—
630C11×C22⋊C4—21no—
631C11×C22⋊C4—21no—
632C11×C22⋊C4—21no—
633C11×C22⋊C4—21no—
634C11×C22⋊C4—21no—
635C11×C22⋊C4—21no—
636C11×C22⋊C4C2×D411yescharacteristic
637C11×C22⋊C4C2×D411yescharacteristic
638C42×C11—21no—
639C42×C11C2411yescharacteristic
640C22⋊Dic11—21no—
641C22⋊Dic11—21no—
642C22⋊Dic11—21no—
643C22⋊Dic11—21no—
644C22⋊Dic11—21no—
645C22⋊Dic11—21no—
646C22⋊Dic11—21no—
647C22⋊Dic11—21no—
648C22⋊Dic11—21no—
649C22⋊Dic11—21no—
650C22⋊Dic11—21no—
651C22⋊Dic11—21no—
652C22⋊Dic11—21no—
653C22⋊Dic11C2×D411yescharacteristic
654C22⋊Dic11C2×D411yescharacteristic
655#4326—22no—
656#4326—22no—
657#4326—41no—
658#4326—41no—
659#4326—41no—
660#4326—41no—
661#4324—22no—
662#4324—22no—
663#4324—41no—
664#4324—41no—
665#4324—41no—
666#4324—41no—
667(C2×D11)⋊C4—21no—
668(C2×D11)⋊C4—21no—
669(C2×D11)⋊C4—21no—
670(C2×D11)⋊C4—21no—
671(C2×D11)⋊C4—21no—
672(C2×D11)⋊C4—21no—
673(C2×D11)⋊C4—21no—
674(C2×D11)⋊C4—21no—
675(C2×D11)⋊C4C2×D411yescharacteristic
676(C2×D11)⋊C4C2×D411yescharacteristic
677(C2×D11)⋊C4C2×D411yescharacteristic
678(C2×D11)⋊C4C2×D411yescharacteristic
679C4⋊Dic11—21no—
680C4⋊Dic11—21no—
681C4⋊Dic11—21no—
682C4⋊Dic11—21no—
683C4⋊Dic11—21no—
684C4⋊Dic11—21no—
685C4⋊Dic11—21no—
686C4⋊Dic11—21no—
687C4⋊Dic11—21no—
688C4⋊Dic11C2×D411yescharacteristic
689C4⋊Dic11C2411yescharacteristic
690C4⋊Dic11C2411yescharacteristic
691C4⋊Dic11C2411yescharacteristic
692C4⋊Dic11C2411yescharacteristic
693Dic11⋊C4—21no—
694Dic11⋊C4—21no—
695Dic11⋊C4—21no—
696Dic11⋊C4—21no—
697Dic11⋊C4—21no—
698Dic11⋊C4—21no—
699Dic11⋊C4—21no—
700Dic11⋊C4—21no—
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4—21no—
711Dic11⋊C4—21no—
712Dic11⋊C4—21no—
713Dic11⋊C4C2×D411yescharacteristic
714Dic11⋊C4C2×D411yescharacteristic
715C4×Dic11—21no—
716C4×Dic11—21no—
717C4×Dic11—21no—
718C4×Dic11—21no—
719C4×Dic11—21no—
720C4×Dic11—21no—
721C4×Dic11—21no—
722C4×Dic11C2×D411yescharacteristic
723C4×Dic11C2×D411yescharacteristic
724C4×Dic11C2411yescharacteristic
725#4318—41no—
726C2×C11⋊C8—41no—
727C2×C11⋊C8C2411yescharacteristic
728C2×C11⋊C8C2411yescharacteristic
729C2×C11⋊C8C2411yescharacteristic
730C2×C11⋊C8C2411yescharacteristic
731Dic44—22no—
732Dic44—41no—
733Dic44—41no—
734#4313—41no—
735#4313—41no—
736C8×D11—41no—
737C8×D11—41no—
738#3505—111no—
739C2×D4×Q8—111no—
740#3320—111no—
741#3320—111no—
742#3320—111no—
743#3320—111no—
744#3312—111no—
745#3312—111no—
746#3312—111no—
747#3312—111no—
748#3270—111no—
749#3270—111no—
750#3270—111no—
751#3270—111no—
752#3266—111no—
753#3266—111no—
754#3266—111no—
755#3266D1111yescharacteristic, complemented
756#3218—111no—
757#3218—111no—
758#3196—111no—
759#3196—111no—
760#3189—111no—
761#3187—111no—
762#3117—111no—
763#3117—111no—
764#3004—111no—
765#3004—111no—
766C2×#451—111no—
767C2×#448—111no—
768#2973—111no—
769C23×C11—21no—
770C23×C11—21no—
771C23×C11—42no—
772C23×C11—81no—
773C23×C11—81no—
774C23×C11C22×D411yescharacteristic
775C23×C11C22×D411yescharacteristic
776C22×D11—22no—
777C22×D11—41no—
778C22×D11—41no—
779C22×D11—41no—
780C22×D11—41no—
781C22×D11#13714yescomplemented
782C22×D11C22×D411yescharacteristic
783C22×D11C22×D411yescharacteristic
784C22×D11C22×D411yescharacteristic
785Q8×C11—21no—
786Q8×C11—21no—
787Q8×C11—21no—
788Q8×C11—21no—
789Q8×C11—21no—
790Q8×C11—21no—
791Q8×C11—21no—
792Q8×C11—42no—
793Q8×C11—42no—
794Q8×C11H(5,𝔽2)12yes—
795D4×C11—22no—
796D4×C11—21no—
797D4×C11—21no—
798D4×C11—21no—
799D4×C11—21no—
800D4×C11—81no—
801D4×C11—81no—
802D4×C11—81no—
803C2×C4×C11—21no—
804C2×C4×C11—21no—
805C2×C4×C11—21no—
806C2×C4×C11—21no—
807C2×C4×C11—21no—
808C2×C4×C11—21no—
809C2×C4×C11—21no—
810C2×C4×C11—21no—
811C2×C4×C11—21no—
812C2×C4×C11—21no—
813C2×C4×C11—42no—
814C2×C4×C11—42no—
815C2×C4×C11—81no—
816C2×C4×C11—81no—
817C2×C4×C11C22×D411yescharacteristic
818C2×C4×C11C22×D411yescharacteristic
819C2×C4×C11C22×D411yescharacteristic
820C2×C4×C11C22×D411yescharacteristic
821C2×C4×C11C2511yescharacteristic
822C22⋊D11—22no—
823C22⋊D11—22no—
824C22⋊D11—42no—
825C22⋊D11—42no—
826C22⋊D11—42no—
827C22⋊D11—42no—
828C22⋊D11—81no—
829C22⋊D11—81no—
830C2×Dic11—21no—
831C2×Dic11—21no—
832C2×Dic11—21no—
833C2×Dic11—21no—
834C2×Dic11—21no—
835C2×Dic11—21no—
836C2×Dic11—21no—
837C2×Dic11—21no—
838C2×Dic11—41no—
839C2×Dic11—41no—
840C2×Dic11—42no—
841C2×Dic11—42no—
842C2×Dic11—42no—
843C2×Dic11—81no—
844C2×Dic11—81no—
845C2×Dic11C22×D411yescharacteristic
846C2×Dic11C22×D411yescharacteristic
847C2×Dic11C22×D411yescharacteristic
848C2×Dic11C22×D411yescharacteristic
849C2×Dic11C22×D411yescharacteristic
850D44—22no—
851C4×D11—24no—
852C4×D11—22no—
853C4×D11—21no—
854C4×D11—21no—
855C4×D11—21no—
856C4×D11—21no—
857C4×D11—21no—
858C4×D11—21no—
859C4×D11—41no—
860C4×D11—41no—
861C4×D11—41no—
862C4×D11—41no—
863C4×D11—41no—
864C4×D11—42no—
865C4×D11—42no—
866C4×D11—42no—
867C4×D11—42no—
868C4×D11—42no—
869C4×D11—42no—
870C4×D11—42no—
871C4×D11—81no—
872C4×D11—81no—
873Dic22—24no—
874Dic22—21no—
875Dic22—21no—
876Dic22—21no—
877Dic22—21no—
878Dic22—21no—
879Dic22—21no—
880Dic22—21no—
881Dic22—42no—
882Dic22—42no—
883Dic22—42no—
884Dic22—42no—
885Dic22—42no—
886Dic22—42no—
887Dic22—42no—
888Dic22—42no—
889Dic22—81no—
890Dic22H(5,𝔽2)12yes—
891C8×C11—21no—
892C8×C11—21no—
893C8×C11—21no—
894C8×C11—21no—
895C11⋊C8—21no—
896C11⋊C8—21no—
897C11⋊C8—21no—
898C11⋊C8—21no—
899C23×Q8—111no—
900C23×Q8—111no—
901C2×#137—111no—
902C2×#137—111no—
903C2×#137—111no—
904C2×#137C2×D1111yescharacteristic, complemented
905C22×Q16—111no—
906C22×Q16—111no—
907C22×SD16—111no—
908C22×SD16C2×D1111yescharacteristic, complemented
909#553—111no—
910#553—111no—
911#553—221no—
912#553—221no—
913#552—111no—
914#552—111no—
915#551—221no—
916#551—221no—
917D4×Q8—111no—
918D4×Q8—111no—
919D4×Q8—111no—
920D4×Q8—111no—
921D4×Q8—111no—
922D4×Q8—111no—
923D4×Q8—111no—
924D4×Q8—221no—
925D4×Q8—221no—
926D4×Q8—221no—
927D4×Q8—221no—
928D4×Q8C2×D1111yescharacteristic
929#548—111no—
930#548—111no—
931#546—111no—
932#546C2×D1111yescharacteristic
933#539—221no—
934#538—221no—
935#534—221no—
936C2×C4⋊Q8—111no—
937C2×C4⋊Q8—221no—
938#529—111no—
939#529—111no—
940#525—111no—
941#525—111no—
942C2×C22⋊Q8—111no—
943C2×C22⋊Q8—111no—
944C2×C22⋊Q8—111no—
945C2×C22⋊Q8—221no—
946C2×C22⋊Q8—221no—
947C2×#121—111no—
948#518—221no—
949C2×C4×Q8—111no—
950C2×C4×D4—111no—
951C2×C4×D4—221no—
952#497—111no—
953#497—111no—
954#497—111no—
955#497C2×D1111yescharacteristic, complemented
956#491—111no—
957#491—111no—
958#491—111no—
959#491—111no—
960#485—111no—
961#485—111no—
962#485—111no—
963#485—111no—
964#484—111no—
965#484—111no—
966#484—111no—
967#484—111no—
968#483—111no—
969#483—111no—
970#481—111no—
971#481—111no—
972#479—111no—
973#479—111no—
974#479—111no—
975#479—111no—
976#470—111no—
977#470—111no—
978#470—111no—
979#470—111no—
980#468—111no—
981#468—111no—
982#468—111no—
983#468C2×D1111yescharacteristic, complemented
984#467—111no—
985#467—111no—
986#467—111no—
987#467C2×D1111yescharacteristic, complemented
988#465—111no—
989#465—111no—
990#465—111no—
991#465—111no—
992#464—111no—
993#464—111no—
994#464—111no—
995#464C2×D1111yescharacteristic, complemented
996#462—111no—
997#462—111no—
998#462—111no—
999#462—111no—
1000#461—111no—
1001#461—111no—
1002#461—111no—
1003#461C2×D1111yescharacteristic, complemented
1004#452—111no—
1005#452—111no—
1006#452—111no—
1007#452C2×D1111yescharacteristic, complemented
1008#451—111no—
1009#451—111no—
1010#451—111no—
1011#451—111no—
1012#451—111no—
1013#451—111no—
1014#451—111no—
1015#451—111no—
1016#451—111no—
1017#451—111no—
1018#451—111no—
1019#451—111no—
1020#451—111no—
1021#451—111no—
1022#451—111no—
1023#451C2×D1111yescharacteristic, complemented
1024#450—111no—
1025#450C2×D1111yescharacteristic, complemented
1026#448—111no—
1027#448—111no—
1028#448—111no—
1029#448—111no—
1030#448—111no—
1031#448—111no—
1032#448—111no—
1033#448—111no—
1034#448—111no—
1035#448—111no—
1036#448—111no—
1037#448—111no—
1038#448—111no—
1039#448C2×D1111yescharacteristic, complemented
1040#441—111no—
1041#441—111no—
1042#441—111no—
1043#441—111no—
1044#440—111no—
1045#440—111no—
1046#440—111no—
1047#440C2×D1111yescharacteristic, complemented
1048#435—111no—
1049#435—111no—
1050#435—111no—
1051#435—111no—
1052#435—111no—
1053#435—111no—
1054#435—111no—
1055#435C2×D1111yescharacteristic
1056#432—111no—
1057#432—111no—
1058#419—111no—
1059#419—111no—
1060#419—111no—
1061#419—111no—
1062C2×#103—111no—
1063C2×#103—111no—
1064C2×#103—111no—
1065C2×#103—111no—
1066#407—111no—
1067#407—111no—
1068C2×C22⋊C8—111no—
1069C2×C22⋊C8—111no—
1070C22×C11—21no—
1071C22×C11—21no—
1072C22×C11—21no—
1073C22×C11—21no—
1074C22×C11—21no—
1075C22×C11—41no—
1076C22×C11—41no—
1077C22×C11—41no—
1078C22×C11—41no—
1079C22×C11—41no—
1080C22×C11—41no—
1081C22×C11—162no—
1082C22×C11C2×#13712yes—
1083C22×C11C23×D411yescharacteristic
1084C2×D11—21no—
1085C2×D11—21no—
1086C2×D11—21no—
1087C2×D11—21no—
1088C2×D11—21no—
1089C2×D11—21no—
1090C2×D11—21no—
1091C2×D11—44no—
1092C2×D11—44no—
1093C2×D11C2×#13712yes—
1094C2×D11C2×#13712yes—
1095C4×C11—21no—
1096C4×C11—21no—
1097C4×C11—21no—
1098C4×C11—22no—
1099C4×C11—21no—
1100C4×C11—41no—
1101C4×C11—41no—
1102C4×C11—41no—
1103C4×C11—41no—
1104C4×C11—41no—
1105C4×C11C2×H(5,𝔽2)11yescharacteristic
1106C4×C11C2×H(5,𝔽2)11yescharacteristic
1107Dic11—21no—
1108Dic11—21no—
1109Dic11—22no—
1110Dic11—21no—
1111Dic11—21no—
1112Dic11—21no—
1113Dic11—41no—
1114Dic11—41no—
1115Dic11—41no—
1116Dic11—41no—
1117Dic11—41no—
1118Dic11—41no—
1119Dic11—41no—
1120C2×#41—111no—
1121C2×#41C22×D1111yescharacteristic
1122C22×Q8—111no—
1123C22×Q8—111no—
1124C22×Q8—111no—
1125C22×Q8—111no—
1126C22×Q8—111no—
1127C22×Q8—111no—
1128C22×Q8—111no—
1129C22×Q8—111no—
1130C22×Q8—111no—
1131C22×Q8—111no—
1132C22×Q8—221no—
1133C22×Q8—221no—
1134C22×Q8—221no—
1135C22×Q8—221no—
1136C22×Q8—221no—
1137C22×Q8—221no—
1138C22×Q8—442no—
1139C22×Q8—442no—
1140C22×Q8—442no—
1141C22×Q8—442no—
1142C22×Q8C22×D1111yescharacteristic
1143C22×Q8C22×D1111yescharacteristic
1144C22×D4—111no—
1145C22×D4—221no—
1146C22×D4C22×D1111yescharacteristic
1147C23×C4—111no—
1148C23×C4—111no—
1149C23×C4—221no—
1150C23×C4—221no—
1151#137—42no—
1152#137—442no—
1153#137—442no—
1154#137—442no—
1155C2×Q16—111no—
1156C2×Q16—111no—
1157C2×Q16—111no—
1158C2×Q16—111no—
1159C2×Q16—111no—
1160C2×Q16—111no—
1161C2×Q16—111no—
1162C2×Q16—111no—
1163C2×Q16—111no—
1164C2×Q16—442no—
1165C2×Q16—442no—
1166C2×Q16C22×D1111yescharacteristic
1167C2×Q16C22×D1111yescharacteristic
1168C2×Q16C22×D1111yescharacteristic
1169C2×SD16—42no—
1170C2×SD16—111no—
1171C2×SD16—111no—
1172C2×SD16—111no—
1173C2×SD16—111no—
1174C2×SD16—111no—
1175C2×SD16—111no—
1176C2×SD16—442no—
1177C2×SD16C22×D1111yescharacteristic
1178C2×SD16C22×D1111yescharacteristic
1179C2×SD16C22×D1111yescharacteristic
1180C2×SD16C22×D1111yescharacteristic
1181C2×SD16C22×D1111yescharacteristic
1182C2×SD16C22×D1111yescharacteristic
1183C2×M16—111no—
1184C2×M16—111no—
1185C2×M16—111no—
1186C2×M16C22×D1111yescharacteristic
1187C22×C8—111no—
1188C22×C8—111no—
1189C22×C8—111no—
1190C22×C8C22×D1111yescharacteristic
1191C4⋊Q8—21no—
1192C4⋊Q8—111no—
1193C4⋊Q8—111no—
1194C4⋊Q8—111no—
1195C4⋊Q8—221no—
1196C4⋊Q8—221no—
1197C4⋊Q8—221no—
1198C4⋊Q8—221no—
1199C4⋊Q8—221no—
1200C4⋊Q8—221no—
1201C4⋊Q8—221no—
1202C4⋊Q8—221no—
1203C4⋊Q8—221no—
1204C4⋊Q8C22×D1111yescharacteristic
1205#126—221no—
1206#126—221no—
1207#126—221no—
1208#126—221no—
1209#126—221no—
1210#126—221no—
1211#125—111no—
1212#125—111no—
1213#125—221no—
1214#125—221no—
1215#124—111no—
1216#124—221no—
1217#124—221no—
1218#124C22×D1111yescharacteristic
1219#123—21no—
1220#123—221no—
1221#123—221no—
1222#123—221no—
1223#123—221no—
1224#123—221no—
1225#123—221no—
1226#123—221no—
1227#123—221no—
1228#123—221no—
1229C22⋊Q8—21no—
1230C22⋊Q8—21no—
1231C22⋊Q8—111no—
1232C22⋊Q8—111no—
1233C22⋊Q8—111no—
1234C22⋊Q8—111no—
1235C22⋊Q8—111no—
1236C22⋊Q8—111no—
1237C22⋊Q8—111no—
1238C22⋊Q8—111no—
1239C22⋊Q8—111no—
1240C22⋊Q8—111no—
1241C22⋊Q8—111no—
1242C22⋊Q8—221no—
1243C22⋊Q8—221no—
1244C22⋊Q8—221no—
1245C22⋊Q8—221no—
1246C22⋊Q8—221no—
1247C22⋊Q8—221no—
1248C22⋊Q8—221no—
1249C22⋊Q8—221no—
1250C22⋊Q8—221no—
1251C22⋊Q8—221no—
1252C22⋊Q8—221no—
1253C22⋊Q8—221no—
1254C22⋊Q8—221no—
1255C22⋊Q8—221no—
1256C22⋊Q8—221no—
1257C22⋊Q8—221no—
1258C22⋊Q8—221no—
1259C22⋊Q8—221no—
1260C22⋊Q8—221no—
1261C22⋊Q8—221no—
1262C22⋊Q8—221no—
1263C22⋊Q8—221no—
1264C22⋊Q8C22×D1111yescharacteristic
1265C22⋊Q8C22×D1111yescharacteristic
1266C22⋊Q8C22×D1111yescharacteristic
1267#121—21no—
1268#121—111no—
1269#121—111no—
1270#121—111no—
1271#121—111no—
1272#121—111no—
1273#121—221no—
1274#121—221no—
1275#121—221no—
1276#121—221no—
1277#121—221no—
1278#121—221no—
1279#121—221no—
1280#121C22×D1111yescharacteristic
1281#120—21no—
1282#120—221no—
1283#120—221no—
1284#120—221no—
1285C4×Q8—111no—
1286C4×Q8—111no—
1287C4×Q8—111no—
1288C4×Q8—111no—
1289C4×Q8—111no—
1290C4×Q8—221no—
1291C4×Q8—221no—
1292C4×Q8C22×D1111yescharacteristic
1293C4×D4—21no—
1294C4×D4—111no—
1295C4×D4—111no—
1296C4×D4—111no—
1297C4×D4—111no—
1298C4×D4—111no—
1299C4×D4—111no—
1300C4×D4—111no—
1301C4×D4—111no—
1302C4×D4—221no—
1303C4×D4—221no—
1304C4×D4—221no—
1305C4×D4—221no—
1306C4×D4—221no—
1307C4×D4—221no—
1308C4×D4—221no—
1309C4×D4—221no—
1310C4×D4—221no—
1311C4×D4—221no—
1312C4×D4—221no—
1313C4×D4—221no—
1314C4×D4—221no—
1315C4×D4—221no—
1316C4×D4—221no—
1317C4×D4—221no—
1318C4×D4—221no—
1319C4×D4C22×D1111yescharacteristic
1320C4×D4C22×D1111yescharacteristic
1321#117—111no—
1322#117—111no—
1323#117—221no—
1324#117—221no—
1325#117—221no—
1326#117—221no—
1327C2×C4⋊C4—111no—
1328C2×C4⋊C4—111no—
1329C2×C4⋊C4—111no—
1330C2×C4⋊C4—111no—
1331C2×C4⋊C4—221no—
1332C2×C4⋊C4—221no—
1333C2×C4⋊C4—221no—
1334C2×C4⋊C4—221no—
1335C2×C4⋊C4—221no—
1336C2×C4⋊C4—221no—
1337C2×C22⋊C4—21no—
1338C2×C22⋊C4—111no—
1339C2×C22⋊C4—111no—
1340C2×C22⋊C4—221no—
1341C2×C22⋊C4—221no—
1342C2×C22⋊C4—221no—
1343C2×C22⋊C4—221no—
1344C2×C22⋊C4—221no—
1345C2×C42—111no—
1346C2×C42—221no—
1347#107—111no—
1348#107—111no—
1349#107—111no—
1350#107C22×D1111yescharacteristic
1351#106—111no—
1352#106—111no—
1353#106—111no—
1354#106—111no—
1355C4⋊C8—111no—
1356C4⋊C8—111no—
1357C4⋊C8—111no—
1358C4⋊C8C22×D1111yescharacteristic
1359#103—111no—
1360#103—111no—
1361#103—111no—
1362#103—111no—
1363#103—111no—
1364#103—111no—
1365#103—111no—
1366#103—111no—
1367#103—111no—
1368#103—111no—
1369#103—111no—
1370#103—111no—
1371#103—111no—
1372#103—111no—
1373#103—111no—
1374#103—111no—
1375#103—111no—
1376#103—111no—
1377#103—111no—
1378#103—111no—
1379#103—111no—
1380#103—111no—
1381#103—111no—
1382#103—111no—
1383#103C22×D1111yescharacteristic
1384#103C22×D1111yescharacteristic
1385#103C22×D1111yescharacteristic
1386#103C22×D1111yescharacteristic
1387#102—111no—
1388#102—111no—
1389#102C22×D1111yescharacteristic
1390#102C22×D1111yescharacteristic
1391C22⋊C8—111no—
1392C22⋊C8—111no—
1393C22⋊C8—111no—
1394C22⋊C8—111no—
1395C22⋊C8—111no—
1396C22⋊C8—111no—
1397C22⋊C8—111no—
1398C22⋊C8—111no—
1399C22⋊C8—111no—
1400C22⋊C8—111no—
1401C22⋊C8C22×D1111yescharacteristic
1402C22⋊C8C22×D1111yescharacteristic
1403#97—111no—
1404#97—111no—
1405#97—111no—
1406#97C22×D1111yescharacteristic
1407C2×C11—22no—
1408C2×C11—41no—
1409C2×C11—81no—
1410C2×C11—81no—
1411C2×C11#348411yescharacteristic
1412C2×C11C22×#13711yescharacteristic
1413C2×C11#358611yescharacteristic
1414D11—22no—
1415D11—22no—
1416D11—41no—
1417C24—21no—
1418C24—111no—
1419C24—111no—
1420#41—41no—
1421#41—41no—
1422#41—441no—
1423#41—441no—
1424C2×Q8—21no—
1425C2×Q8—21no—
1426C2×Q8—22no—
1427C2×Q8—22no—
1428C2×Q8—41no—
1429C2×Q8—41no—
1430C2×Q8—111no—
1431C2×Q8—111no—
1432C2×Q8—111no—
1433C2×Q8—111no—
1434C2×Q8—221no—
1435C2×Q8—221no—
1436C2×Q8—221no—
1437C2×Q8—221no—
1438C2×Q8—221no—
1439C2×Q8—221no—
1440C2×Q8—221no—
1441C2×Q8—221no—
1442C2×Q8—222no—
1443C2×Q8—222no—
1444C2×Q8—222no—
1445C2×Q8—222no—
1446C2×Q8—221no—
1447C2×Q8—221no—
1448C2×Q8—222no—
1449C2×Q8—222no—
1450C2×Q8—222no—
1451C2×Q8—222no—
1452C2×Q8—441no—
1453C2×Q8—441no—
1454C2×Q8—444no—
1455C2×Q8—444no—
1456C2×Q8—441no—
1457C2×Q8—441no—
1458C2×Q8—441no—
1459C2×Q8—441no—
1460C2×Q8—441no—
1461C2×Q8—441no—
1462C2×Q8—441no—
1463C2×Q8—441no—
1464C2×Q8—444no—
1465C2×Q8—444no—
1466C2×Q8—441no—
1467C2×Q8—441no—
1468C2×Q8—444no—
1469C2×Q8—444no—
1470C2×Q8C23×D1111yescharacteristic
1471C2×Q8C23×D1111yescharacteristic
1472C2×Q8C23×D1111yescharacteristic
1473C2×Q8C23×D1111yescharacteristic
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—41no—
1478C2×D4—41no—
1479C2×D4—111no—
1480C2×D4—111no—
1481C2×D4—111no—
1482C2×D4—224no—
1483C2×D4—221no—
1484C2×D4—221no—
1485C2×D4—221no—
1486C2×D4—221no—
1487C2×D4—221no—
1488C2×D4—221no—
1489C2×D4—444no—
1490C2×D4D4×D1111yescharacteristic
1491C2×D4C23×D1111yescharacteristic
1492C2×D4C23×D1111yescharacteristic
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—111no—
1498C22×C4—111no—
1499C22×C4—111no—
1500C22×C4—111no—
1501C22×C4—111no—
1502C22×C4—111no—
1503C22×C4—111no—
1504C22×C4—111no—
1505C22×C4—111no—
1506C22×C4—111no—
1507C22×C4—111no—
1508C22×C4—221no—
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—441no—
1524C22×C4—441no—
1525C22×C4—441no—
1526C22×C4—441no—
1527C22×C4—444no—
1528C22×C4—444no—
1529C22×C4C23×D1111yescharacteristic
1530C22×C4C23×D1111yescharacteristic
1531Q16—22no—
1532Q16—41no—
1533Q16—41no—
1534Q16—222no—
1535Q16—222no—
1536Q16—222no—
1537Q16—441no—
1538Q16—441no—
1539Q16—441no—
1540Q16—441no—
1541Q16—441no—
1542Q16—441no—
1543SD16—22no—
1544SD16—22no—
1545SD16—41no—
1546SD16—41no—
1547SD16—41no—
1548SD16—41no—
1549SD16—222no—
1550SD16—222no—
1551SD16—441no—
1552SD16—441no—
1553SD16—441no—
1554SD16—441no—
1555M16—41no—
1556M16—441no—
1557M16—441no—
1558M16—441no—
1559C2×C8—41no—
1560C2×C8—111no—
1561C2×C8—111no—
1562C2×C8—111no—
1563C2×C8—111no—
1564C2×C8—441no—
1565C2×C8—441no—
1566C2×C8—441no—
1567C2×C8C23×D1111yescharacteristic
1568C2×C8C23×D1111yescharacteristic
1569C2×C8C23×D1111yescharacteristic
1570C2×C8C23×D1111yescharacteristic
1571C4⋊C4—21no—
1572C4⋊C4—21no—
1573C4⋊C4—21no—
1574C4⋊C4—21no—
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—111no—
1578C4⋊C4—111no—
1579C4⋊C4—111no—
1580C4⋊C4—111no—
1581C4⋊C4—111no—
1582C4⋊C4—111no—
1583C4⋊C4—111no—
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⋊C4—221no—
1601C4⋊C4—221no—
1602C4⋊C4—221no—
1603C4⋊C4—221no—
1604C4⋊C4—221no—
1605C4⋊C4—221no—
1606C4⋊C4—221no—
1607C4⋊C4—221no—
1608C4⋊C4—221no—
1609C4⋊C4—221no—
1610C4⋊C4—221no—
1611C4⋊C4—221no—
1612C4⋊C4—221no—
1613C4⋊C4D4×D1111yescharacteristic
1614C4⋊C4C23×D1111yescharacteristic
1615C4⋊C4C23×D1111yescharacteristic
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—111no—
1624C22⋊C4—111no—
1625C22⋊C4—111no—
1626C22⋊C4—111no—
1627C22⋊C4—111no—
1628C22⋊C4—111no—
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⋊C4—221no—
1649C22⋊C4—221no—
1650C22⋊C4D4×D1111yescharacteristic
1651C22⋊C4D4×D1111yescharacteristic
1652C42—21no—
1653C42—111no—
1654C42—111no—
1655C42—111no—
1656C42—221no—
1657C42—221no—
1658C42—221no—
1659C42—221no—
1660C42—221no—
1661C42—221no—
1662C42—221no—
1663C42C23×D1111yescharacteristic
1664C11#6157411yescharacteristic, complemented, Sylow
1665C23—21no—
1666C23—21no—
1667C23—42no—
1668C23—81no—
1669C23—81no—
1670C23—111no—
1671C23—111no—
1672C23—114no—
1673C23—111no—
1674C23—222no—
1675C23—441no—
1676C23—441no—
1677C23—441no—
1678C23—441no—
1679C23C2×D4×D1111yescharacteristic
1680C23C2×D4×D1111yescharacteristic
1681Q8—21no—
1682Q8—21no—
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—42no—
1689Q8—42no—
1690Q8—112no—
1691Q8—224no—
1692Q8—221no—
1693Q8—221no—
1694Q8—221no—
1695Q8—221no—
1696Q8—221no—
1697Q8—221no—
1698Q8—221no—
1699Q8—442no—
1700Q8—442no—
1701Q8—442no—
1702Q8—442no—
1703Q8—442no—
1704Q8—442no—
1705Q8—442no—
1706Q8—442no—
1707Q8—881no—
1708Q8#6703712yes—
1709D4—22no—
1710D4—21no—
1711D4—21no—
1712D4—21no—
1713D4—21no—
1714D4—81no—
1715D4—81no—
1716D4—81no—
1717D4—222no—
1718D4—222no—
1719D4—222no—
1720D4—442no—
1721D4—442no—
1722D4—442no—
1723D4—442no—
1724D4—881no—
1725D4—881no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—42no—
1737C2×C4—42no—
1738C2×C4—81no—
1739C2×C4—81no—
1740C2×C4—111no—
1741C2×C4—111no—
1742C2×C4—111no—
1743C2×C4—111no—
1744C2×C4—111no—
1745C2×C4—222no—
1746C2×C4—224no—
1747C2×C4—221no—
1748C2×C4—221no—
1749C2×C4—221no—
1750C2×C4—221no—
1751C2×C4—221no—
1752C2×C4—221no—
1753C2×C4—221no—
1754C2×C4—221no—
1755C2×C4—221no—
1756C2×C4—221no—
1757C2×C4—221no—
1758C2×C4—221no—
1759C2×C4—221no—
1760C2×C4—221no—
1761C2×C4—441no—
1762C2×C4—441no—
1763C2×C4—441no—
1764C2×C4—441no—
1765C2×C4—441no—
1766C2×C4—442no—
1767C2×C4—442no—
1768C2×C4—442no—
1769C2×C4—442no—
1770C2×C4—442no—
1771C2×C4—442no—
1772C2×C4—442no—
1773C2×C4—441no—
1774C2×C4—441no—
1775C2×C4—442no—
1776C2×C4—442no—
1777C2×C4—442no—
1778C2×C4—881no—
1779C2×C4—881no—
1780C2×C4—881no—
1781C2×C4—881no—
1782C2×C4C2×D4×D1111yescharacteristic
1783C2×C4C2×D4×D1111yescharacteristic
1784C2×C4C2×D4×D1111yescharacteristic
1785C2×C4C2×D4×D1111yescharacteristic
1786C2×C4C24×D1111yescharacteristic
1787C8—21no—
1788C8—21no—
1789C8—21no—
1790C8—21no—
1791C8—221no—
1792C8—221no—
1793C8—221no—
1794C8—221no—
1795C22—21no—
1796C22—21no—
1797C22—21no—
1798C22—21no—
1799C22—21no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—112no—
1807C22—112no—
1808C22—162no—
1809C22—221no—
1810C22—221no—
1811C22—221no—
1812C22—221no—
1813C22—221no—
1814C22—221no—
1815C22—221no—
1816C22—444no—
1817C22—444no—
1818C22D11×#13712yes—
1819C22C22×D4×D1111yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—22no—
1824C4—21no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—221no—
1831C4—221no—
1832C4—221no—
1833C4—221no—
1834C4—222no—
1835C4—221no—
1836C4—441no—
1837C4—441no—
1838C4—441no—
1839C4—441no—
1840C4—441no—
1841C4—441no—
1842C4—441no—
1843C4C2×#6703711yescharacteristic
1844C4D11×H(5,𝔽2)11yescharacteristic
1845C2—22no—
1846C2—41no—
1847C2—81no—
1848C2—81no—
1849C2—222no—
1850C2—222no—
1851C2—441no—
1852C2#1308224411yescharacteristic
1853C2C2×D11×#13711yescharacteristic
1854C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3266C2
socleC22×C11C23×D4
prime radical#13082443C2
hypercenter#3266D11
hypocenterC11#61574
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3266

Complements

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

NH ≅ G/Ntype
2. D4×Q8×D11C2semidirect
3. #13080794C2semidirect
4. #13080792C2semidirect
5. #13080782C2semidirect
6. #13080780C2semidirect
7. #13080673C2semidirect
8. #13080671C2semidirect
9. #13080669C2semidirect
10. #13080667C2semidirect
11. #13080185C2semidirect
12. #13080184C2semidirect
13. #13080181C2semidirect
14. #13080180C2semidirect
15. #13080130C2semidirect
16. #13080126C2semidirect
17. #13080122C2semidirect
18. #13079642C2semidirect
19. #13079639C2semidirect
20. #13079444C2semidirect
21. #13079441C2semidirect
22. #13079387C2semidirect
23. #13079370C2semidirect
24. #13078786C2semidirect
25. #13078785C2semidirect
26. #13077848C2semidirect
27. #13077847C2semidirect
28. D11×#451C2semidirect
29. C2×#10622783C2semidirect
30. #13077641C2semidirect
31. C11×#3266C2semidirect
33. C22×Q8×D11C22semidirect
34. C2×C11×#137C22semidirect
35. C22×C11×SD16C22semidirect
40. C2×#67004C22semidirect
42. Q8×C22⋊D11C22semidirect
45. C22×#4324C22semidirect
46. C2×Q16×D11C22semidirect
47. C2×Q16×D11C22semidirect
48. C2×#66968C22semidirect
49. C2×#66968C22semidirect
51. #10623258C22semidirect
53. D11×C4⋊Q8C22semidirect
62. #10623163C22semidirect
67. D11×C22⋊Q8C22semidirect
74. Q8×D44C22semidirect
75. C4×Q8×D11C22semidirect
85. C11×#497C22semidirect
86. C11×#468C22semidirect
87. C11×#467C22semidirect
88. C11×#464C22semidirect
89. C11×#461C22semidirect
90. C11×#452C22semidirect
91. C11×#451C22semidirect
92. C11×#450C22semidirect
93. C11×#448C22semidirect
94. C11×#440C22semidirect
96. #10622852C22semidirect
97. #10622841C22semidirect
98. #10622841C22semidirect
99. #10622838C22semidirect
100. C2×#66899C22semidirect
101. #10622831C22semidirect
102. #10622802C22semidirect
103. #10622799C22semidirect
104. #10622799C22semidirect
105. #10622799C22semidirect
106. #10622799C22semidirect
107. #10622799C22semidirect
108. #10622799C22semidirect
109. #10622797C22semidirect
110. #10622795C22semidirect
111. #10622795C22semidirect
112. #10622787C22semidirect
113. #10622786C22semidirect
114. #10622784C22semidirect
115. #10622784C22semidirect
122. #10622783C22semidirect
123. #10622783C22semidirect
124. #10622783C22semidirect
125. #10622783C22semidirect
126. #10622783C22semidirect
127. #10622783C22semidirect
128. #10622780C22semidirect
129. #10622780C22semidirect
130. #10622779C22semidirect
131. #10622777C22semidirect
132. #10622775C22semidirect
133. #10622775C22semidirect
134. #10622750C22semidirect
135. #10622740C22semidirect
136. #10622739C22semidirect
137. #10622733C22semidirect
138. #10622729C22semidirect
141. C2×#66880C22semidirect
142. #10622703C22semidirect
143. #10622695C22semidirect
144. #10622673C22semidirect
145. #10622667C22semidirect
146. #10622665C22semidirect
147. #10622664C22semidirect
148. #10622664C22semidirect
149. #10622663C22semidirect
150. #10622658C22semidirect
151. #10622656C22semidirect
152. #10622655C22semidirect
153. #10622653C22semidirect
154. #10622643C22semidirect
155. #10622635C22semidirect
156. #10622632C22semidirect
157. #10622631C22semidirect
159. #10622501C22semidirect
160. #10622497C22semidirect
161. #10622497C22semidirect
162. #10622490C22semidirect
163. #10622462C22semidirect
164. #10622449C22semidirect
165. #10622448C22semidirect
166. #10622442C22semidirect
167. #10622429C22semidirect
168. #10622428C22semidirect
169. #10622422C22semidirect
170. #10622422C22semidirect
171. #10622421C22semidirect
172. #10622421C22semidirect
173. #10622421C22semidirect
174. #10622421C22semidirect
175. #10622415C22semidirect
176. #10622415C22semidirect
177. D11×#103C22semidirect
178. D11×#103C22semidirect
179. #10622412C22semidirect
180. #10622410C22semidirect
181. #10622410C22semidirect
182. #10622402C22semidirect
183. #10622396C22semidirect
184. #10622393C22semidirect
185. #10622391C22semidirect
186. #10622391C22semidirect
189. #10622380C22semidirect
190. #10622370C22semidirect
191. #10622352C22semidirect
192. #10622352C22semidirect
194. #10622341C22semidirect
195. #10622339C22semidirect
197. #10622336C22semidirect
198. #10622334C22semidirect
199. #10622329C22semidirect
200. #10622319C22semidirect
201. #10622318C22semidirect
202. #10622316C22semidirect
755. #3266D11semidirect
781. C22×D11#137semidirect
904. C2×#137C2×D11semidirect
908. C22×SD16C2×D11semidirect
955. #497C2×D11semidirect
983. #468C2×D11semidirect
987. #467C2×D11semidirect
995. #464C2×D11semidirect
1003. #461C2×D11semidirect
1007. #452C2×D11semidirect
1023. #451C2×D11semidirect
1025. #450C2×D11semidirect
1039. #448C2×D11semidirect
1047. #440C2×D11semidirect
1664. C11#61574semidirect

Maximal subgroups

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

subgroupindex
#130824432
D4×Q8×D112
#130807942
#130807922
#130807822
#130807802
#130806732
#130806712
#130806692
#130806672
#130801852
#130801842
#130801812
#130801802
#130801302
#130801262
#130801222
#130796422
#130796392
#130794442
#130794412
#130793872
#130793702
#130787862
#130787852
#130778482
#130778472
D11×#4512
C2×#106227832
#130776412
C11×#32662
#6157411