Finite Group Databasebeta

← #15629592

Subgroups — #15629592

Order 2816.

2672 conjugacy classes of subgroups.

The subgroup lattice has 2002 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623297C211yesmaximal, characteristic, complemented
2C22×#66971C211yesmaximal, characteristic, complemented
3#13082293C211yesmaximal, characteristic, complemented
4#13082266C211yesmaximal, characteristic, complemented
5#13080361C211yesmaximal, characteristic, complemented
6#13080328C211yesmaximal, characteristic, complemented
7#13080316C211yesmaximal, characteristic, complemented
8#13080273C211yesmaximal, characteristic, complemented
9#13080272C211yesmaximal, characteristic, complemented
10#13080261C211yesmaximal, characteristic, complemented
11#13080255C211yesmaximal, characteristic, complemented
12#13080192C211yesmaximal, characteristic, complemented
13#13080187C211yesmaximal, characteristic, complemented
14#13080186C211yesmaximal, characteristic, complemented
15#13080186C211yesmaximal, characteristic, complemented
16#13080168C211yesmaximal, characteristic, complemented
17#13080166C211yesmaximal, characteristic, complemented
18#13080127C211yesmaximal, characteristic, complemented
19#13080123C211yesmaximal, characteristic, complemented
20#13079104C211yesmaximal, characteristic, complemented
21#13078306C211yesmaximal, characteristic, complemented
22#13078243C211yesmaximal, characteristic, complemented
23#13078163C211yesmaximal, characteristic, complemented
24#13078141C211yesmaximal, characteristic, complemented
25#13077932C211yesmaximal, characteristic, complemented
26#13077906C211yesmaximal, characteristic, complemented
27#13077839C211yesmaximal, characteristic, complemented
28D11×#451C211yesmaximal, characteristic, complemented
29#13077454C211yesmaximal, characteristic, complemented
30#13077336C211yesmaximal, characteristic, complemented
31D4×C11×Q16C211yesmaximal, characteristic, complemented
32C2×#67040C2211yescharacteristic
33C2×#67040C2211yescharacteristic, complemented
34C22×#4343C2211yescharacteristic
35C22×Q8×D11C2211yescharacteristic
36C22×C11×Q16C2211yescharacteristic
37C22×C11×Q16C2211yescharacteristic, complemented
38D4×Q8×C11C2211yescharacteristic
39D4×Q8×C11C2211yescharacteristic
40#10623348C2211yescharacteristic
41#10623348C2211yescharacteristic
42Q8×C22⋊D11C2211yescharacteristic
43Q8×C22⋊D11C2211yescharacteristic, complemented
44C22×#4326C2211yescharacteristic
45C2×#66995C2211yescharacteristic, complemented
46C2×#66995C2211yescharacteristic, complemented
47C22×#4325C2211yescharacteristic
48#10623297—28no—
49C2×#66972C2211yescharacteristic
50C2×#66972C2211yescharacteristic
51C2×#66972C2211yescharacteristic, complemented
52C2×#66971—28no—
53C2×#66971C2211yescharacteristic
54C2×#66971C2211yescharacteristic
55C2×#66971C2211yescharacteristic
56C2×#66971C2211yescharacteristic
57C2×#66971C2211yescharacteristic
58C2×#66971C2211yescharacteristic
59C2×#66971C2211yescharacteristic
60C2×#66971C2211yescharacteristic
61C2×#66971C2211yescharacteristic, complemented
62C2×#66971C2211yescharacteristic, complemented
63C2×#66971C2211yescharacteristic, complemented
64C2×Q16×D11C2211yescharacteristic, complemented
65C2×Q16×D11C2211yescharacteristic, complemented
66C2×Q16×D11C2211yescharacteristic, complemented
67C2×#66957C2211yescharacteristic, complemented
68C22×#4314C2211yescharacteristic
69C2×#66954C2211yescharacteristic, complemented
70C22×#4313C2211yescharacteristic
71#10623258—21no—
72#10623258C2211yescharacteristic, complemented
73#10623257—21no—
74#10623257C2211yescharacteristic
75#10623255—21no—
76#10623255—21no—
77#10623255C2211yescharacteristic
78#10623255C2211yescharacteristic, complemented
79#10623164—21no—
80#10623164C2211yescharacteristic, complemented
81#10623163—21no—
82#10623163C2211yescharacteristic
83#10623162—21no—
84#10623162C2211yescharacteristic
85#10623161—21no—
86#10623161C2211yescharacteristic
87#10623160—21no—
88#10623160C2211yescharacteristic
89#10623159—21no—
90#10623159C2211yescharacteristic, complemented
91#10623158—21no—
92#10623158C2211yescharacteristic
93D11×C22⋊Q8—21no—
94D11×C22⋊Q8C2211yescharacteristic
95#10623107C2211yescharacteristic
96#10623107C2211yescharacteristic, complemented
97#10623105C2211yescharacteristic
98#10623103C2211yescharacteristic, complemented
99#10623083—21no—
100#10623083C2211yescharacteristic
101#10623081—21no—
102#10623081C2211yescharacteristic
103#10623078—21no—
104#10623078—21no—
105#10623078C2211yescharacteristic
106C11×#494C2211yescharacteristic, complemented
107C11×#467C2211yescharacteristic
108C11×#467C2211yescharacteristic, complemented
109C11×#462C2211yescharacteristic, complemented
110C11×#462C2211yescharacteristic, complemented
111C11×#451C2211yescharacteristic
112C11×#451C2211yescharacteristic
113C11×#451C2211yescharacteristic, complemented
114C11×#451C2211yescharacteristic, complemented
115C4×C11×Q16C2211yescharacteristic, complemented
116C8×D4×C11C2211yescharacteristic
117#10622841C2211yescharacteristic
118#10622841C2211yescharacteristic, complemented
119#10622840C2211yescharacteristic
120#10622840C2211yescharacteristic, complemented
121#10622804C2211yescharacteristic, complemented
122#10622803C2211yescharacteristic, complemented
123#10622803C2211yescharacteristic, complemented
124#10622802C2211yescharacteristic, complemented
125#10622802C2211yescharacteristic, complemented
126#10622800C2211yescharacteristic
127#10622800C2211yescharacteristic
128#10622800C2211yescharacteristic, complemented
129#10622800C2211yescharacteristic, complemented
130#10622799C2211yescharacteristic, complemented
131#10622799C2211yescharacteristic, complemented
132#10622799C2211yescharacteristic, complemented
133#10622799C2211yescharacteristic, complemented
134#10622798C2211yescharacteristic, complemented
135#10622798C2211yescharacteristic, complemented
136#10622797C2211yescharacteristic, complemented
137#10622795C2211yescharacteristic, complemented
138#10622795C2211yescharacteristic, complemented
139#10622794C2211yescharacteristic, complemented
140#10622727C2211yescharacteristic
141#10622727C2211yescharacteristic, complemented
142#10622724C2211yescharacteristic
143#10622724C2211yescharacteristic, complemented
144#10622703C2211yescharacteristic, complemented
145#10622699C2211yescharacteristic, complemented
146#10622699C2211yescharacteristic, complemented
147#10622696C2211yescharacteristic, complemented
148#10622665C2211yescharacteristic, complemented
149#10622664C2211yescharacteristic
150#10622663C2211yescharacteristic
151#10622662C2211yescharacteristic, complemented
152#10622661C2211yescharacteristic
153#10622660C2211yescharacteristic, complemented
154#10622660C2211yescharacteristic, complemented
155#10622659C2211yescharacteristic
156#10622643C2211yescharacteristic, complemented
157#10622641C2211yescharacteristic, complemented
158#10622641C2211yescharacteristic, complemented
159#10622639C2211yescharacteristic, complemented
160#10622624C2211yescharacteristic
161#10622502C2211yescharacteristic, complemented
162#10622499C2211yescharacteristic, complemented
163#10622499C2211yescharacteristic, complemented
164#10622494C2211yescharacteristic, complemented
165#10622458C2211yescharacteristic, complemented
166#10622457C2211yescharacteristic, complemented
167#10622452C2211yescharacteristic, complemented
168#10622449C2211yescharacteristic, complemented
169#10622432C2211yescharacteristic, complemented
170#10622431C2211yescharacteristic, complemented
171#10622429C2211yescharacteristic, complemented
172#10622426C2211yescharacteristic, complemented
173#10622425C2211yescharacteristic, complemented
174#10622424C2211yescharacteristic
175#10622424C2211yescharacteristic
176#10622424C2211yescharacteristic, complemented
177#10622423C2211yescharacteristic, complemented
178#10622421C2211yescharacteristic, complemented
179#10622421C2211yescharacteristic, complemented
180#10622421C2211yescharacteristic, complemented
181#10622420C2211yescharacteristic, complemented
182#10622419C2211yescharacteristic, complemented
183#10622417C2211yescharacteristic
184#10622417C2211yescharacteristic
185#10622416C2211yescharacteristic, complemented
186#10622415C2211yescharacteristic, complemented
187D11×#103C2211yescharacteristic, complemented
188D11×#103C2211yescharacteristic, complemented
189#10622411C2211yescharacteristic, complemented
190#10622406C2211yescharacteristic, complemented
191#10622403C2211yescharacteristic, complemented
192#10622401C2211yescharacteristic, complemented
193#10622352C2211yescharacteristic
194#10622347C2211yescharacteristic, complemented
195#10622346C2211yescharacteristic, complemented
196#10622345C2211yescharacteristic
197#10622342C2211yescharacteristic, complemented
198#10622340C2211yescharacteristic, complemented
199(C22⋊D11)⋊C8C2211yescharacteristic
200D11×C22⋊C8C2211yescharacteristic
201#10622309C2211yescharacteristic, complemented
202C4×#4314C2211yescharacteristic, complemented
203#10622302C2211yescharacteristic, complemented
204#10622301C2211yescharacteristic, complemented
205C22×Q8×C11C2311yescharacteristic
206C22×Q8×C11C2311yescharacteristic
207C22×Q8×C11C2311yescharacteristic
208C22×Q8×C11C2311yescharacteristic
209#67040—24no—
210#67040—24no—
211#67040—42no—
212#67040—42no—
213C2×#4343—21no—
214C2×#4343—21no—
215C2×#4343—21no—
216C2×#4343—21no—
217C2×#4343—24no—
218C2×#4343—42no—
219C2×#4343C2311yescharacteristic
220C2×#4343C2311yescharacteristic
221C2×#4343C2311yescharacteristic
222C2×#4343C2311yescharacteristic
223C2×#4343C2311yescharacteristic
224C2×#4343C2311yescharacteristic
225C2×#4343C2311yescharacteristic
226C2×Q8×D11—21no—
227C2×Q8×D11—21no—
228C2×Q8×D11—21no—
229C2×Q8×D11—21no—
230C2×Q8×D11—24no—
231C2×Q8×D11—42no—
232C2×Q8×D11C2311yescharacteristic
233C2×Q8×D11C2311yescharacteristic
234C2×Q8×D11C2311yescharacteristic
235C2×Q8×D11C2311yescharacteristic
236C2×Q8×D11C2311yescharacteristic
237C2×Q8×D11C2311yescharacteristic
238C2×Q8×D11C2311yescharacteristic
239C2×#4339—21no—
240C2×#4339—21no—
241C2×#4339—21no—
242C2×#4339—21no—
243C2×#4339C2311yescharacteristic
244C2×#4339C2311yescharacteristic
245C2×#4339C2311yescharacteristic
246C22×D44—21no—
247C22×D44C2311yescharacteristic
248C22×C4×D11—21no—
249C22×C4×D11—21no—
250C22×C4×D11C2311yescharacteristic
251C22×Dic22—21no—
252C22×Dic22C2311yescharacteristic
253C2×C11×Q16—24no—
254C2×C11×Q16—24no—
255C2×C11×Q16C2311yescharacteristic
256C2×C11×Q16C2311yescharacteristic
257C2×C11×Q16C2311yescharacteristic
258C2×C11×Q16C2311yescharacteristic
259C2×C11×Q16C2311yescharacteristic
260C2×C11×Q16C2311yescharacteristic
261C2×C11×Q16C2311yescharacteristic
262C2×C11×Q16C2311yescharacteristic
263C2×C11×Q16C2311yescharacteristic
264C22×C8×C11C2311yescharacteristic
265C22×C8×C11C2311yescharacteristic
266C11×C4⋊Q8—21no—
267C11×C4⋊Q8—21no—
268C11×C4⋊Q8C2311yescharacteristic
269C11×C4⋊Q8C2311yescharacteristic
270C11×C22⋊Q8—21no—
271C11×C22⋊Q8—21no—
272C11×C22⋊Q8—21no—
273C11×C22⋊Q8—21no—
274C11×C22⋊Q8C2311yescharacteristic
275C11×C22⋊Q8C2311yescharacteristic
276C11×C22⋊Q8C2311yescharacteristic
277C11×C22⋊Q8C2311yescharacteristic
278C4×Q8×C11C2311yescharacteristic
279C4×Q8×C11C2311yescharacteristic
280C4×D4×C11—21no—
281C4×D4×C11—21no—
282C4×D4×C11C2311yescharacteristic
283#67000—21no—
284#67000—21no—
285#67000C2311yescharacteristic
286#67000C2311yescharacteristic
287#66999—21no—
288#66999—21no—
289#66999—21no—
290#66999—21no—
291#66999C2311yescharacteristic
292#66999C2311yescharacteristic
293#66999C2311yescharacteristic
294#66999C2311yescharacteristic
295Q8×Dic11C2311yescharacteristic
296Q8×Dic11C2311yescharacteristic
297#66997—21no—
298#66997—21no—
299#66997C2311yescharacteristic
300#66997C2311yescharacteristic
301C2×#4326—24no—
302C2×#4326C2311yescharacteristic
303C2×#4326C2311yescharacteristic
304C2×#4326C2311yescharacteristic
305C2×#4326C2311yescharacteristic
306C2×#4326C2311yescharacteristic
307C2×#4326C2311yescharacteristic
308C2×#4326C2311yescharacteristic
309C2×#4326C2311yescharacteristic
310C2×#4326C2311yescharacteristic
311#66995—24no—
312#66995—24no—
313C2×#4325—24no—
314C2×#4325C2311yescharacteristic
315C2×#4325C2311yescharacteristic
316C2×#4325C2311yescharacteristic
317C2×#4325C2311yescharacteristic
318C2×#4325C2311yescharacteristic
319C2×#4325C2311yescharacteristic
320C2×#4325C2311yescharacteristic
321C2×#4325C2311yescharacteristic
322C2×#4325C2311yescharacteristic
323#66992—21no—
324#66992D411yescharacteristic
325#66990—21no—
326#66990D411yescharacteristic
327#66983—21no—
328#66983—21no—
329#66983C2311yescharacteristic
330#66983C2311yescharacteristic
331C4×C22⋊D11—21no—
332C4×C22⋊D11—21no—
333C4×C22⋊D11—21no—
334C4×C22⋊D11—21no—
335C4×C22⋊D11C2311yescharacteristic
336C4×C22⋊D11C2311yescharacteristic
337#66977—21no—
338#66977—21no—
339#66977C2311yescharacteristic
340#66977C2311yescharacteristic
341C2×#4318C2311yescharacteristic
342C22×C11⋊C8C2311yescharacteristic
343#66972—24no—
344#66972—24no—
345#66972—42no—
346#66971—24no—
347#66971—24no—
348#66971—24no—
349#66971—24no—
350#66971—24no—
351#66971—24no—
352#66971—24no—
353#66971—24no—
354#66971—24no—
355#66971—24no—
356#66971D418yescomplemented
357Q16×D11—24no—
358Q16×D11—24no—
359Q16×D11—42no—
360C2×Dic44C2311yescharacteristic
361C2×Dic44C2311yescharacteristic
362#66957—24no—
363C2×D88C2311yescharacteristic
364C2×D88C2311yescharacteristic
365C2×#4314—24no—
366C2×#4314C2311yescharacteristic
367C2×#4314C2311yescharacteristic
368C2×#4314C2311yescharacteristic
369C2×#4314C2311yescharacteristic
370C2×#4314C2311yescharacteristic
371#66954—24no—
372C2×#4313—24no—
373C2×#4313C2311yescharacteristic
374C2×#4313C2311yescharacteristic
375C2×#4313C2311yescharacteristic
376C2×#4313C2311yescharacteristic
377C2×#4313C2311yescharacteristic
378C2×C8×D11C2311yescharacteristic
379C2×C8×D11C2311yescharacteristic
380C2×C8×D11C2311yescharacteristic
381#66950—21no—
382#66950—21no—
383#66950C2311yescharacteristic
384#66950C2311yescharacteristic
385#66949—21no—
386#66949—21no—
387#66949—21no—
388#66949—21no—
389#66949—21no—
390#66949—21no—
391#66949—21no—
392#66949—21no—
393#66949—21no—
394#66949—21no—
395#66949—21no—
396#66949D411yescharacteristic
397#66948—21no—
398#66948—21no—
399#66948—21no—
400#66948—21no—
401#66948—21no—
402#66948C2311yescharacteristic
403#66948C2311yescharacteristic
404#66947—21no—
405#66947—21no—
406#66947—21no—
407#66947—21no—
408#66947—21no—
409#66947—21no—
410#66947—21no—
411#66947—21no—
412#66947—21no—
413#66947—21no—
414#66947—21no—
415#66947D411yescharacteristic
416#66946—21no—
417#66946—21no—
418#66946—21no—
419#66946—21no—
420#66946C2311yescharacteristic
421#66945—21no—
422#66945C2311yescharacteristic
423C4⋊C4×D11—21no—
424C4⋊C4×D11—21no—
425C4⋊C4×D11—21no—
426C4⋊C4×D11—21no—
427C4⋊C4×D11C2311yescharacteristic
428#66941—21no—
429#66941—21no—
430#66941—21no—
431#66940—21no—
432#66940C2311yescharacteristic
433#66938—21no—
434#66938—21no—
435#66938—21no—
436#66937—21no—
437#66937—21no—
438#66937—21no—
439#66937—21no—
440#66937—21no—
441#66937D411yescharacteristic
442#66936—21no—
443#66936—21no—
444#66936D411yescharacteristic
445#66935—21no—
446#66935—21no—
447#66935D411yescharacteristic
448(C22⋊D11)⋊C4—21no—
449(C22⋊D11)⋊C4—21no—
450(C22⋊D11)⋊C4—21no—
451C22⋊C4×D11—21no—
452C22⋊C4×D11—21no—
453C22⋊C4×D11—21no—
454#66931—21no—
455#66931—21no—
456#66931D411yescharacteristic
457#66928—21no—
458#66928—21no—
459#66928C2311yescharacteristic
460#66928C2311yescharacteristic
461C4×D44—21no—
462C4×D44—21no—
463C4×D44—21no—
464C4×D44C2311yescharacteristic
465C4×D44C2311yescharacteristic
466#66925—21no—
467#66925—21no—
468#66925C2311yescharacteristic
469C4×Dic22—21no—
470C4×Dic22C2311yescharacteristic
471C11×#107C2311yescharacteristic
472C11×C4⋊C8C2311yescharacteristic
473C11×#103C2311yescharacteristic
474C11×#103C2311yescharacteristic
475C11×#103C2311yescharacteristic
476C11×#103C2311yescharacteristic
477C11×#103C2311yescharacteristic
478C11×#103C2311yescharacteristic
479C11×C22⋊C8C2311yescharacteristic
480C11×C22⋊C8C2311yescharacteristic
481C4×C8×C11C2311yescharacteristic
482#66899C2311yescharacteristic
483#66899C2311yescharacteristic
484#66899C2311yescharacteristic
485#66899C2311yescharacteristic
486#66899C2311yescharacteristic
487#66899C2311yescharacteristic
488C22⋊(C11⋊C8)C2311yescharacteristic
489C22⋊(C11⋊C8)C2311yescharacteristic
490#66885C2311yescharacteristic
491#66885C2311yescharacteristic
492#66885C2311yescharacteristic
493(C2×D11)⋊C8C2311yescharacteristic
494(C2×D11)⋊C8C2311yescharacteristic
495(C2×D11)⋊C8C2311yescharacteristic
496(C2×D11)⋊C8C2311yescharacteristic
497#66881C2311yescharacteristic
498#66880C2311yescharacteristic
499#66880C2311yescharacteristic
500#66880C2311yescharacteristic
501#66879C2311yescharacteristic
502Dic11⋊C8C2311yescharacteristic
503Dic11⋊C8C2311yescharacteristic
504C8×Dic11C2311yescharacteristic
505#66874C2311yescharacteristic
506#66874C2311yescharacteristic
507#66874C2311yescharacteristic
508#66873C2311yescharacteristic
509#66873C2311yescharacteristic
510#66873C2311yescharacteristic
511#66872C2311yescharacteristic
512#66871C2311yescharacteristic
513C4⋊(C11⋊C8)C2311yescharacteristic
514#66867C2311yescharacteristic
515#61076—111nomaximal, Sylow
516C23×D11—21no—
517C23×D11C2×D411yescharacteristic
518C2×Q8×C11—21no—
519C2×Q8×C11—21no—
520C2×Q8×C11—21no—
521C2×Q8×C11—21no—
522C2×Q8×C11—22no—
523C2×Q8×C11—22no—
524C2×Q8×C11—22no—
525C2×Q8×C11—22no—
526C2×Q8×C11—41no—
527C2×Q8×C11—41no—
528C2×Q8×C11—41no—
529C2×Q8×C11—41no—
530C2×Q8×C11C2411yescharacteristic
531C2×Q8×C11C2411yescharacteristic
532C2×Q8×C11C2411yescharacteristic
533C2×Q8×C11C2411yescharacteristic
534C2×Q8×C11C2411yescharacteristic
535C2×Q8×C11C2411yescharacteristic
536C2×D4×C11C2×D411yescharacteristic
537C22×C4×C11—21no—
538C22×C4×C11—21no—
539C22×C4×C11—21no—
540C22×C4×C11—21no—
541C22×C4×C11C2411yescharacteristic
542C22×C4×C11C2411yescharacteristic
543C2×C22⋊D11—21no—
544C2×C22⋊D11—21no—
545C2×C22⋊D11—21no—
546C2×C22⋊D11—21no—
547C2×C22⋊D11C2×D411yescharacteristic
548C2×C22⋊D11C2×D411yescharacteristic
549C2×C22⋊D11C2×D411yescharacteristic
550C2×C22⋊D11C2×D411yescharacteristic
551C22×Dic11—21no—
552C22×Dic11C2×D411yescharacteristic
553#4343—22no—
554#4343—22no—
555#4343—22no—
556#4343—22no—
557#4343—22no—
558#4343—22no—
559#4343—22no—
560#4343—22no—
561#4343—22no—
562#4343—41no—
563#4343—41no—
564#4343—41no—
565#4343—41no—
566#4343—44no—
567#4343—44no—
568#4343—44no—
569#4343—44no—
570#4343C2×D414yes—
571Q8×D11—22no—
572Q8×D11—22no—
573Q8×D11—22no—
574Q8×D11—22no—
575Q8×D11—22no—
576Q8×D11—22no—
577Q8×D11—22no—
578Q8×D11—22no—
579Q8×D11—22no—
580Q8×D11—41no—
581Q8×D11—41no—
582Q8×D11—41no—
583Q8×D11—41no—
584Q8×D11—44no—
585Q8×D11—44no—
586Q8×D11—44no—
587Q8×D11—44no—
588Q8×D11C2×D414yes—
589#4339—22no—
590#4339—22no—
591#4339—22no—
592#4339—22no—
593#4339—41no—
594#4339—41no—
595#4339—44no—
596#4339—44no—
597#4339—44no—
598#4339—44no—
599C2×D44—21no—
600C2×D44—21no—
601C2×D44—21no—
602C2×D44—21no—
603C2×D44—21no—
604C2×D44—21no—
605C2×D44—21no—
606C2×D44—21no—
607C2×D44—21no—
608C2×D44—22no—
609C2×D44—21no—
610C2×D44—41no—
611C2×D44—44no—
612C2×D44C2×D411yescharacteristic
613C2×D44C2×D411yescharacteristic
614C2×D44C2411yescharacteristic
615C2×D44C2411yescharacteristic
616C2×D44C2411yescharacteristic
617C2×C4×D11—21no—
618C2×C4×D11—22no—
619C2×C4×D11—22no—
620C2×C4×D11—21no—
621C2×C4×D11—21no—
622C2×C4×D11—21no—
623C2×C4×D11—21no—
624C2×C4×D11—21no—
625C2×C4×D11—21no—
626C2×C4×D11—21no—
627C2×C4×D11—21no—
628C2×C4×D11—21no—
629C2×C4×D11—21no—
630C2×C4×D11—21no—
631C2×C4×D11—21no—
632C2×C4×D11—21no—
633C2×C4×D11—21no—
634C2×C4×D11—21no—
635C2×C4×D11—21no—
636C2×C4×D11—21no—
637C2×C4×D11—21no—
638C2×C4×D11—44no—
639C2×C4×D11—44no—
640C2×C4×D11C2×D411yescharacteristic
641C2×C4×D11C2×D411yescharacteristic
642C2×C4×D11C2411yescharacteristic
643C2×C4×D11C2411yescharacteristic
644C2×C4×D11C2411yescharacteristic
645C2×Dic22—21no—
646C2×Dic22—22no—
647C2×Dic22—21no—
648C2×Dic22—21no—
649C2×Dic22—21no—
650C2×Dic22—21no—
651C2×Dic22—21no—
652C2×Dic22—21no—
653C2×Dic22—21no—
654C2×Dic22—41no—
655C2×Dic22—44no—
656C2×Dic22C2×D411yescharacteristic
657C2×Dic22C2411yescharacteristic
658C2×Dic22C2411yescharacteristic
659C2×Dic22C2411yescharacteristic
660C11×Q16—22no—
661C11×Q16—22no—
662C11×Q16—22no—
663C11×Q16—22no—
664C11×Q16—22no—
665C11×Q16—22no—
666C11×Q16—41no—
667C11×Q16—41no—
668C11×Q16C2×D414yes—
669C2×C8×C11—22no—
670C2×C8×C11—22no—
671C2×C8×C11C2411yescharacteristic
672C2×C8×C11C2411yescharacteristic
673C2×C8×C11C2411yescharacteristic
674C2×C8×C11C2411yescharacteristic
675C11×C4⋊C4—21no—
676C11×C4⋊C4—21no—
677C11×C4⋊C4—21no—
678C11×C4⋊C4—21no—
679C11×C4⋊C4—21no—
680C11×C4⋊C4—21no—
681C11×C4⋊C4—21no—
682C11×C4⋊C4—21no—
683C11×C4⋊C4—21no—
684C11×C4⋊C4—21no—
685C11×C4⋊C4C2×D411yescharacteristic
686C11×C4⋊C4C2411yescharacteristic
687C11×C4⋊C4C2411yescharacteristic
688C11×C22⋊C4—21no—
689C11×C22⋊C4—21no—
690C11×C22⋊C4—21no—
691C11×C22⋊C4—21no—
692C11×C22⋊C4C2×D411yescharacteristic
693C11×C22⋊C4C2×D411yescharacteristic
694C42×C11—21no—
695C42×C11—21no—
696C42×C11C2411yescharacteristic
697C22⋊Dic11—21no—
698C22⋊Dic11—21no—
699C22⋊Dic11C2×D411yescharacteristic
700C22⋊Dic11C2×D411yescharacteristic
701#4326—22no—
702#4326—22no—
703#4326—22no—
704#4326—22no—
705#4326—22no—
706#4326—22no—
707#4326—41no—
708#4326—41no—
709#4326C2×D414yes—
710#4325—22no—
711#4325—22no—
712#4325—22no—
713#4325—22no—
714#4325—22no—
715#4325—22no—
716#4325—41no—
717#4325—41no—
718#4325C2×D414yes—
719(C2×D11)⋊C4—21no—
720(C2×D11)⋊C4—21no—
721(C2×D11)⋊C4—21no—
722(C2×D11)⋊C4—21no—
723(C2×D11)⋊C4—21no—
724(C2×D11)⋊C4—21no—
725(C2×D11)⋊C4—21no—
726(C2×D11)⋊C4—21no—
727(C2×D11)⋊C4—21no—
728(C2×D11)⋊C4—21no—
729(C2×D11)⋊C4—21no—
730(C2×D11)⋊C4—21no—
731(C2×D11)⋊C4—21no—
732(C2×D11)⋊C4—21no—
733(C2×D11)⋊C4—21no—
734(C2×D11)⋊C4—21no—
735(C2×D11)⋊C4—21no—
736(C2×D11)⋊C4—21no—
737(C2×D11)⋊C4—21no—
738(C2×D11)⋊C4—21no—
739(C2×D11)⋊C4—21no—
740(C2×D11)⋊C4C2×D411yescharacteristic
741(C2×D11)⋊C4C2×D411yescharacteristic
742(C2×D11)⋊C4C2×D411yescharacteristic
743(C2×D11)⋊C4C2×D411yescharacteristic
744(C2×D11)⋊C4C2×D411yescharacteristic
745(C2×D11)⋊C4C2×D411yescharacteristic
746C4⋊Dic11—21no—
747C4⋊Dic11—21no—
748C4⋊Dic11—21no—
749C4⋊Dic11—21no—
750C4⋊Dic11C2×D411yescharacteristic
751C4⋊Dic11C2411yescharacteristic
752C4⋊Dic11C2411yescharacteristic
753Dic11⋊C4—21no—
754Dic11⋊C4—21no—
755Dic11⋊C4—21no—
756Dic11⋊C4—21no—
757Dic11⋊C4—21no—
758Dic11⋊C4—21no—
759Dic11⋊C4—21no—
760Dic11⋊C4—21no—
761Dic11⋊C4—21no—
762Dic11⋊C4—21no—
763Dic11⋊C4—21no—
764Dic11⋊C4—21no—
765Dic11⋊C4—21no—
766Dic11⋊C4C2×D411yescharacteristic
767Dic11⋊C4C2×D411yescharacteristic
768Dic11⋊C4C2×D411yescharacteristic
769Dic11⋊C4C2×D411yescharacteristic
770C4×Dic11—21no—
771C4×Dic11—21no—
772C4×Dic11—21no—
773C4×Dic11—21no—
774C4×Dic11—21no—
775C4×Dic11C2411yescharacteristic
776#4318—22no—
777C2×C11⋊C8—22no—
778C2×C11⋊C8C2411yescharacteristic
779C2×C11⋊C8C2411yescharacteristic
780C2×C11⋊C8C2411yescharacteristic
781C2×C11⋊C8C2411yescharacteristic
782Dic44—22no—
783Dic44—41no—
784D88—22no—
785D88—41no—
786#4314—22no—
787#4314—22no—
788#4314—22no—
789#4314—22no—
790#4314C2×D414yes—
791#4313—22no—
792#4313—22no—
793#4313—22no—
794#4313—22no—
795#4313C2×D414yes—
796C8×D11—22no—
797C8×D11—22no—
798C8×D11—22no—
799C2×#578—111no—
800C22×#137—111no—
801#3489—111no—
802#3486—111no—
803D4×Q16—111no—
804D4×Q16D1111yescharacteristic, complemented
805#3282—111no—
806#3282—111no—
807#3277—111no—
808#3277—111no—
809#3276—111no—
810#3276—111no—
811#3270—111no—
812#3270—111no—
813#3270—111no—
814#3270—111no—
815#3269—111no—
816#3269—111no—
817#3266—111no—
818#3266—111no—
819#3156—111no—
820#3063—111no—
821#3056—111no—
822#3046—111no—
823#3044—111no—
824#3013—111no—
825#3011—111no—
826#3002—111no—
827C2×#451—111no—
828#2947—111no—
829#2933—111no—
830C23×C11C22×D411yescharacteristic
831C23×C11C22×D411yescharacteristic
832C22×D11—22no—
833C22×D11—21no—
834C22×D11—22no—
835C22×D11—21no—
836C22×D11—21no—
837C22×D11—41no—
838C22×D11—42no—
839C22×D11—42no—
840C22×D11—81no—
841C22×D11C22×D411yescharacteristic
842C22×D11C22×D411yescharacteristic
843C22×D11C22×D411yescharacteristic
844Q8×C11—21no—
845Q8×C11—21no—
846Q8×C11—21no—
847Q8×C11—21no—
848Q8×C11—21no—
849Q8×C11—21no—
850Q8×C11—21no—
851Q8×C11—21no—
852Q8×C11—21no—
853Q8×C11—21no—
854Q8×C11—42no—
855Q8×C11—42no—
856Q8×C11—42no—
857Q8×C11—42no—
858Q8×C11C22×D412yes—
859Q8×C11C22×D412yes—
860D4×C11—22no—
861C2×C4×C11—21no—
862C2×C4×C11—21no—
863C2×C4×C11—21no—
864C2×C4×C11—21no—
865C2×C4×C11—21no—
866C2×C4×C11—21no—
867C2×C4×C11—21no—
868C2×C4×C11—21no—
869C2×C4×C11—21no—
870C2×C4×C11—21no—
871C2×C4×C11—21no—
872C2×C4×C11—21no—
873C2×C4×C11—42no—
874C2×C4×C11—42no—
875C2×C4×C11—42no—
876C2×C4×C11—42no—
877C2×C4×C11C22×D411yescharacteristic
878C2×C4×C11C22×D411yescharacteristic
879C2×C4×C11C22×D411yescharacteristic
880C2×C4×C11C22×D411yescharacteristic
881C2×C4×C11C2511yescharacteristic
882C22⋊D11—22no—
883C22⋊D11—22no—
884C22⋊D11—22no—
885C22⋊D11—41no—
886C22⋊D11—42no—
887C22⋊D11—42no—
888C22⋊D11—42no—
889C22⋊D11—81no—
890C2×Dic11—21no—
891C2×Dic11—22no—
892C2×Dic11—21no—
893C2×Dic11—21no—
894C2×Dic11—21no—
895C2×Dic11—21no—
896C2×Dic11—42no—
897C2×Dic11C22×D411yescharacteristic
898C2×Dic11C22×D411yescharacteristic
899C2×Dic11C22×D411yescharacteristic
900C2×Dic11C22×D411yescharacteristic
901C2×Dic11C22×D411yescharacteristic
902D44—24no—
903D44—22no—
904D44—21no—
905D44—21no—
906D44—21no—
907D44—21no—
908D44—21no—
909D44—41no—
910D44—42no—
911D44—42no—
912D44—42no—
913D44—42no—
914D44—42no—
915D44—42no—
916D44—42no—
917D44—42no—
918D44—81no—
919D44C22×D412yes—
920C4×D11—22no—
921C4×D11—24no—
922C4×D11—21no—
923C4×D11—21no—
924C4×D11—21no—
925C4×D11—21no—
926C4×D11—22no—
927C4×D11—24no—
928C4×D11—42no—
929C4×D11—42no—
930C4×D11—42no—
931C4×D11—42no—
932C4×D11—42no—
933C4×D11—42no—
934C4×D11—42no—
935C4×D11—42no—
936C4×D11—42no—
937C4×D11—42no—
938C4×D11—42no—
939C4×D11—42no—
940C4×D11—42no—
941C4×D11—42no—
942C4×D11—81no—
943C4×D11—81no—
944C4×D11—81no—
945C4×D11C22×D412yes—
946C4×D11H(5,𝔽2)12yes—
947Dic22—21no—
948Dic22—24no—
949Dic22—22no—
950Dic22—21no—
951Dic22—21no—
952Dic22—21no—
953Dic22—21no—
954Dic22—42no—
955Dic22—42no—
956Dic22—42no—
957Dic22—42no—
958Dic22—42no—
959Dic22—42no—
960Dic22—42no—
961Dic22C22×D412yes—
962C8×C11—21no—
963C8×C11—21no—
964C8×C11—21no—
965C8×C11C22×D412yes—
966C11⋊C8—21no—
967C11⋊C8—21no—
968C11⋊C8—21no—
969C11⋊C8C22×D412yes—
970C2×2−1+4—111no—
971C2×2−1+4—111no—
972C22×#41—111no—
973C23×Q8—111no—
974#578—228no—
975C2×#137—111no—
976C2×#137—111no—
977C2×#137—111no—
978C2×#137—111no—
979C2×#137—111no—
980C2×#137—111no—
981C2×#137—111no—
982C2×#137—111no—
983C2×#137—111no—
984C2×#137—111no—
985C2×#137—111no—
986C2×#137—111no—
987C2×#137—111no—
988C2×#137—228no—
989C2×#135—111no—
990C2×#135—111no—
991C2×#135—111no—
992C2×#135—111no—
993C22×Q16—111no—
994C22×Q16—111no—
995C22×Q16—111no—
996C22×Q16—111no—
997C22×Q16C2×D1111yescharacteristic
998C22×Q16C2×D1111yescharacteristic, complemented
999C22×SD16—111no—
1000C22×SD16—111no—
1001C2×#131—111no—
1002C22×M16—111no—
1003D4×Q8—111no—
1004D4×Q8—111no—
1005D4×Q8—111no—
1006D4×Q8—111no—
1007D4×Q8—221no—
1008D4×Q8—221no—
1009D4×Q8C2×D1111yescharacteristic
1010D4×Q8C2×D1111yescharacteristic
1011#548—111no—
1012#548—111no—
1013#548—111no—
1014#548—111no—
1015#548—111no—
1016#548—111no—
1017#548—221no—
1018#548—221no—
1019#547—111no—
1020#547—111no—
1021#547—221no—
1022#547—221no—
1023#546—111no—
1024#546—111no—
1025#546—221no—
1026#546—221no—
1027#537—111no—
1028#537—221no—
1029#536—111no—
1030#536—111no—
1031#536—111no—
1032#536—221no—
1033#536—221no—
1034#536—221no—
1035#525—111no—
1036#525—111no—
1037#525—221no—
1038#525—221no—
1039#525—221no—
1040C2×C22⋊Q8—111no—
1041C2×C22⋊Q8—221no—
1042#520—111no—
1043#519—111no—
1044#497—111no—
1045#497—111no—
1046#497—111no—
1047#497—111no—
1048#495—111no—
1049#495—111no—
1050#494—111no—
1051#494C2×D1111yescharacteristic, complemented
1052#470—111no—
1053#470—111no—
1054#470—111no—
1055#470—111no—
1056#468—111no—
1057#468—111no—
1058#468—111no—
1059#468—111no—
1060#467—111no—
1061#467—111no—
1062#467C2×D1111yescharacteristic
1063#467C2×D1111yescharacteristic, complemented
1064#465—111no—
1065#465—111no—
1066#465—111no—
1067#465—111no—
1068#464—111no—
1069#464—111no—
1070#464—111no—
1071#464—111no—
1072#464—111no—
1073#464—111no—
1074#463—111no—
1075#463—111no—
1076#462—111no—
1077#462—111no—
1078#462—111no—
1079#462—111no—
1080#462C2×D1111yescharacteristic, complemented
1081#462C2×D1111yescharacteristic, complemented
1082#461—111no—
1083#461—111no—
1084#452—111no—
1085#452—111no—
1086#452—111no—
1087#452—111no—
1088#452—111no—
1089#452—111no—
1090#452—111no—
1091#452—111no—
1092#451—111no—
1093#451—111no—
1094#451—111no—
1095#451—111no—
1096#451—111no—
1097#451—111no—
1098#451—111no—
1099#451—111no—
1100#451—111no—
1101#451—111no—
1102#451—111no—
1103#451C2×D1111yescharacteristic
1104#451C2×D1111yescharacteristic
1105#451C2×D1111yescharacteristic, complemented
1106#451C2×D1111yescharacteristic, complemented
1107#450—111no—
1108#449—111no—
1109#449—111no—
1110#449—111no—
1111#449—111no—
1112#448—111no—
1113#448—111no—
1114#448—111no—
1115#447—111no—
1116#441—111no—
1117#441—111no—
1118#440—111no—
1119#440—111no—
1120C4×Q16—111no—
1121C4×Q16C2×D1111yescharacteristic, complemented
1122C4×SD16—111no—
1123C4×SD16—111no—
1124#436—111no—
1125#436—111no—
1126#435—111no—
1127#435—111no—
1128#435—111no—
1129#435—111no—
1130C8×D4—111no—
1131C8×D4C2×D1111yescharacteristic
1132#428—111no—
1133#424—111no—
1134#419—111no—
1135#417—111no—
1136#416—111no—
1137#416—111no—
1138C2×#103—111no—
1139C2×#103—111no—
1140#408—111no—
1141C2×C22⋊C8—111no—
1142#405—111no—
1143C22×C11—21no—
1144C22×C11—21no—
1145C22×C11—21no—
1146C22×C11—21no—
1147C22×C11—21no—
1148C22×C11#57812yescomplemented
1149C22×C11C23×D411yescharacteristic
1150C2×D11—21no—
1151C2×D11—21no—
1152C2×D11—21no—
1153C2×D11—21no—
1154C2×D11—21no—
1155C2×D11—22no—
1156C2×D11—21no—
1157C2×D11—21no—
1158C2×D11—21no—
1159C2×D11—44no—
1160C2×D11—41no—
1161C2×D11—41no—
1162C2×D11—41no—
1163C2×D11—41no—
1164C2×D11—41no—
1165C2×D11—41no—
1166C2×D11—41no—
1167C2×D11—41no—
1168C2×D11—84no—
1169C2×D11D4212yes—
1170C4×C11—21no—
1171C4×C11—21no—
1172C4×C11—21no—
1173C4×C11—22no—
1174C4×C11—22no—
1175C4×C11—21no—
1176C4×C11—41no—
1177C4×C11—41no—
1178C4×C11—41no—
1179C4×C11—41no—
1180C4×C11—41no—
1181C4×C11—41no—
1182C4×C11C23×D411yescharacteristic
1183C4×C11C2×H(5,𝔽2)11yescharacteristic
1184Dic11—21no—
1185Dic11—22no—
1186Dic11—21no—
1187Dic11—21no—
1188Dic11—21no—
1189Dic11—41no—
1190Dic11—41no—
1191Dic11—41no—
1192Dic11—41no—
1193Dic11D4212yes—
11942−1+4—224no—
11952−1+4—224no—
11962−1+4—442no—
11972−1+4—442no—
1198C2×#41—111no—
1199C2×#41—111no—
1200C2×#41—111no—
1201C2×#41—111no—
1202C2×#41—111no—
1203C2×#41—111no—
1204C2×#41—111no—
1205C2×#41—111no—
1206C2×#41—111no—
1207C2×#41—111no—
1208C2×#41—221no—
1209C2×#41—221no—
1210C2×#41—221no—
1211C2×#41—221no—
1212C2×#41—221no—
1213C2×#41—221no—
1214C2×#41—221no—
1215C2×#41—221no—
1216C2×#41—224no—
1217C2×#41—442no—
1218C22×Q8—111no—
1219C22×Q8—111no—
1220C22×Q8—111no—
1221C22×Q8—111no—
1222C22×Q8—111no—
1223C22×Q8—111no—
1224C22×Q8—111no—
1225C22×Q8—111no—
1226C22×Q8—221no—
1227C22×Q8—221no—
1228C22×Q8—221no—
1229C22×Q8—221no—
1230C22×Q8—221no—
1231C22×Q8—224no—
1232C22×Q8—442no—
1233C22×Q8C22×D1111yescharacteristic
1234C22×Q8C22×D1111yescharacteristic
1235C22×Q8C22×D1111yescharacteristic
1236C22×Q8C22×D1111yescharacteristic
1237C22×D4—111no—
1238C22×D4—221no—
1239C23×C4—111no—
1240C23×C4—221no—
1241C23×C4—221no—
1242#137—118no—
1243#137—224no—
1244#137—224no—
1245#137—224no—
1246#137—224no—
1247#137—224no—
1248#137—224no—
1249#137—224no—
1250#137—224no—
1251#137—224no—
1252#137—224no—
1253#137—224no—
1254#137—224no—
1255#135—224no—
1256#135—224no—
1257#135—224no—
1258#135—442no—
1259C2×Q16—24no—
1260C2×Q16—24no—
1261C2×Q16—111no—
1262C2×Q16—111no—
1263C2×Q16—111no—
1264C2×Q16—111no—
1265C2×Q16—111no—
1266C2×Q16—111no—
1267C2×Q16—111no—
1268C2×Q16—111no—
1269C2×Q16—111no—
1270C2×Q16—111no—
1271C2×Q16—111no—
1272C2×Q16—224no—
1273C2×Q16—224no—
1274C2×Q16—224no—
1275C2×Q16—442no—
1276C2×Q16C22×D1111yescharacteristic
1277C2×Q16C22×D1111yescharacteristic
1278C2×Q16C22×D1111yescharacteristic
1279C2×Q16C22×D1111yescharacteristic
1280C2×Q16C22×D1111yescharacteristic
1281C2×Q16C22×D1111yescharacteristic
1282C2×Q16C22×D1111yescharacteristic
1283C2×Q16C22×D1111yescharacteristic
1284C2×Q16C22×D1111yescharacteristic
1285C2×SD16—111no—
1286C2×SD16—111no—
1287C2×SD16—111no—
1288C2×SD16—111no—
1289C2×SD16—111no—
1290C2×SD16—111no—
1291C2×SD16—111no—
1292C2×SD16—111no—
1293C2×SD16—111no—
1294C2×SD16—111no—
1295C2×SD16—111no—
1296C2×SD16—111no—
1297C2×SD16—111no—
1298C2×SD16—111no—
1299C2×SD16—224no—
1300C2×SD16—224no—
1301C2×D8—111no—
1302C2×D8—111no—
1303#131—224no—
1304C2×M16—111no—
1305C2×M16—111no—
1306C2×M16—111no—
1307C2×M16—111no—
1308C2×M16—111no—
1309C2×M16—111no—
1310C2×M16—224no—
1311C22×C8—111no—
1312C22×C8—111no—
1313C22×C8—111no—
1314C22×C8—111no—
1315C22×C8C22×D1111yescharacteristic
1316C22×C8C22×D1111yescharacteristic
1317C4⋊Q8—21no—
1318C4⋊Q8—21no—
1319C4⋊Q8—111no—
1320C4⋊Q8—111no—
1321C4⋊Q8—221no—
1322C4⋊Q8—221no—
1323C4⋊Q8—221no—
1324C4⋊Q8—221no—
1325C4⋊Q8—221no—
1326C4⋊Q8C22×D1111yescharacteristic
1327C4⋊Q8C22×D1111yescharacteristic
1328#124—111no—
1329#124—111no—
1330#124—111no—
1331#124—111no—
1332#124—221no—
1333#124—221no—
1334#124—221no—
1335#124—221no—
1336#124—221no—
1337#124—221no—
1338#124—221no—
1339#123—111no—
1340#123—111no—
1341#123—221no—
1342#123—221no—
1343#123—221no—
1344#123—221no—
1345#123—221no—
1346#123—221no—
1347#123—221no—
1348#123—221no—
1349#123—221no—
1350#123—221no—
1351#123—221no—
1352#123—221no—
1353#123—221no—
1354C22⋊Q8—21no—
1355C22⋊Q8—21no—
1356C22⋊Q8—21no—
1357C22⋊Q8—21no—
1358C22⋊Q8—111no—
1359C22⋊Q8—111no—
1360C22⋊Q8—111no—
1361C22⋊Q8—111no—
1362C22⋊Q8—111no—
1363C22⋊Q8—111no—
1364C22⋊Q8—111no—
1365C22⋊Q8—111no—
1366C22⋊Q8—111no—
1367C22⋊Q8—111no—
1368C22⋊Q8—221no—
1369C22⋊Q8—221no—
1370C22⋊Q8—221no—
1371C22⋊Q8—221no—
1372C22⋊Q8—221no—
1373C22⋊Q8—221no—
1374C22⋊Q8—221no—
1375C22⋊Q8—221no—
1376C22⋊Q8—221no—
1377C22⋊Q8—221no—
1378C22⋊Q8—221no—
1379C22⋊Q8—221no—
1380C22⋊Q8—221no—
1381C22⋊Q8—221no—
1382C22⋊Q8—221no—
1383C22⋊Q8—221no—
1384C22⋊Q8—221no—
1385C22⋊Q8—221no—
1386C22⋊Q8—221no—
1387C22⋊Q8—221no—
1388C22⋊Q8—221no—
1389C22⋊Q8C22×D1111yescharacteristic
1390C22⋊Q8C22×D1111yescharacteristic
1391C22⋊Q8C22×D1111yescharacteristic
1392C22⋊Q8C22×D1111yescharacteristic
1393#121—111no—
1394#121—111no—
1395#121—111no—
1396#121—111no—
1397#121—111no—
1398#121—111no—
1399#121—221no—
1400#121—221no—
1401#121—221no—
1402#121—221no—
1403#121—221no—
1404#121—221no—
1405#121—221no—
1406#121—221no—
1407#121—221no—
1408#121—221no—
1409#121—221no—
1410#121—221no—
1411#121—221no—
1412#120—111no—
1413#120—111no—
1414#120—221no—
1415#120—221no—
1416#120—221no—
1417C4×Q8—111no—
1418C4×Q8—111no—
1419C4×Q8—111no—
1420C4×Q8—111no—
1421C4×Q8—221no—
1422C4×Q8—221no—
1423C4×Q8C22×D1111yescharacteristic
1424C4×Q8C22×D1111yescharacteristic
1425C4×D4—21no—
1426C4×D4—21no—
1427C4×D4—111no—
1428C4×D4—111no—
1429C4×D4—111no—
1430C4×D4—111no—
1431C4×D4—111no—
1432C4×D4—221no—
1433C4×D4—221no—
1434C4×D4—221no—
1435C4×D4—221no—
1436C4×D4—221no—
1437C4×D4—221no—
1438C4×D4—221no—
1439C4×D4—221no—
1440C4×D4—221no—
1441C4×D4—221no—
1442C4×D4—221no—
1443C4×D4—221no—
1444C4×D4—221no—
1445C4×D4—221no—
1446C4×D4C22×D1111yescharacteristic
1447#117—111no—
1448#117—111no—
1449#117—221no—
1450#117—221no—
1451#117—221no—
1452C2×C4⋊C4—111no—
1453C2×C4⋊C4—221no—
1454C2×C4⋊C4—221no—
1455C2×C4⋊C4—221no—
1456C2×C4⋊C4—221no—
1457C2×C22⋊C4—221no—
1458C2×C22⋊C4—221no—
1459C2×C22⋊C4—221no—
1460#107—111no—
1461#107C22×D1111yescharacteristic
1462#106—111no—
1463#106—111no—
1464C4⋊C8—111no—
1465C4⋊C8—111no—
1466C4⋊C8—111no—
1467C4⋊C8C22×D1111yescharacteristic
1468#103—111no—
1469#103—111no—
1470#103—111no—
1471#103—111no—
1472#103—111no—
1473#103—111no—
1474#103—111no—
1475#103—111no—
1476#103—111no—
1477#103—111no—
1478#103—111no—
1479#103—111no—
1480#103C22×D1111yescharacteristic
1481#103C22×D1111yescharacteristic
1482#103C22×D1111yescharacteristic
1483#103C22×D1111yescharacteristic
1484#103C22×D1111yescharacteristic
1485#103C22×D1111yescharacteristic
1486#102—111no—
1487#102—111no—
1488#102—111no—
1489#102—111no—
1490#102—111no—
1491#102—111no—
1492C22⋊C8—111no—
1493C22⋊C8—111no—
1494C22⋊C8—111no—
1495C22⋊C8—111no—
1496C22⋊C8—111no—
1497C22⋊C8—111no—
1498C22⋊C8C22×D1111yescharacteristic
1499C22⋊C8C22×D1111yescharacteristic
1500#97—111no—
1501#97—111no—
1502C4×C8—111no—
1503C4×C8C22×D1111yescharacteristic
1504C2×C11—22no—
1505C2×C11—41no—
1506C2×C11C2×D4211yescharacteristic
1507C2×C11C2×#57811yescharacteristic
1508C2×C11#358611yescharacteristic
1509D11—22no—
1510D11—41no—
1511D11—41no—
1512D11—42no—
1513D11—81no—
1514D11—81no—
1515C24—111no—
1516C24—221no—
1517#41—114no—
1518#41—222no—
1519#41—222no—
1520#41—222no—
1521#41—222no—
1522#41—222no—
1523#41—222no—
1524#41—222no—
1525#41—222no—
1526#41—222no—
1527#41—222no—
1528#41—222no—
1529#41—222no—
1530#41—222no—
1531#41—441no—
1532#41—441no—
1533#41—444no—
1534#41—444no—
1535#41—444no—
1536#41—444no—
1537#41—444no—
1538#41—441no—
1539#41—441no—
1540#41—441no—
1541#41—441no—
1542#41—444no—
1543#41—444no—
1544#41—444no—
1545C2×Q8—21no—
1546C2×Q8—21no—
1547C2×Q8—21no—
1548C2×Q8—21no—
1549C2×Q8—22no—
1550C2×Q8—22no—
1551C2×Q8—22no—
1552C2×Q8—22no—
1553C2×Q8—41no—
1554C2×Q8—41no—
1555C2×Q8—41no—
1556C2×Q8—41no—
1557C2×Q8—111no—
1558C2×Q8—114no—
1559C2×Q8—111no—
1560C2×Q8—111no—
1561C2×Q8—111no—
1562C2×Q8—221no—
1563C2×Q8—221no—
1564C2×Q8—221no—
1565C2×Q8—221no—
1566C2×Q8—221no—
1567C2×Q8—221no—
1568C2×Q8—221no—
1569C2×Q8—222no—
1570C2×Q8—222no—
1571C2×Q8—222no—
1572C2×Q8—222no—
1573C2×Q8—222no—
1574C2×Q8—222no—
1575C2×Q8—221no—
1576C2×Q8—222no—
1577C2×Q8—222no—
1578C2×Q8—222no—
1579C2×Q8—222no—
1580C2×Q8—441no—
1581C2×Q8—444no—
1582C2×Q8—444no—
1583C2×Q8—441no—
1584C2×Q8—441no—
1585C2×Q8—441no—
1586C2×Q8—441no—
1587C2×Q8—444no—
1588C2×Q8—444no—
1589C2×Q8—444no—
1590C2×Q8C23×D1111yescharacteristic
1591C2×Q8C23×D1111yescharacteristic
1592C2×Q8C23×D1111yescharacteristic
1593C2×Q8C23×D1111yescharacteristic
1594C2×Q8C23×D1111yescharacteristic
1595C2×Q8C23×D1111yescharacteristic
1596C2×D4—111no—
1597C2×D4—111no—
1598C2×D4—111no—
1599C2×D4—111no—
1600C2×D4—111no—
1601C2×D4—111no—
1602C2×D4—111no—
1603C2×D4—111no—
1604C2×D4—111no—
1605C2×D4—222no—
1606C2×D4—221no—
1607C2×D4—221no—
1608C2×D4—221no—
1609C2×D4—221no—
1610C2×D4—221no—
1611C2×D4—221no—
1612C2×D4—221no—
1613C2×D4—221no—
1614C2×D4—221no—
1615C2×D4—221no—
1616C2×D4—221no—
1617C2×D4—221no—
1618C2×D4—221no—
1619C2×D4—221no—
1620C2×D4—441no—
1621C2×D4—444no—
1622C2×D4D4×D1111yescharacteristic
1623C22×C4—21no—
1624C22×C4—21no—
1625C22×C4—21no—
1626C22×C4—21no—
1627C22×C4—111no—
1628C22×C4—111no—
1629C22×C4—111no—
1630C22×C4—111no—
1631C22×C4—111no—
1632C22×C4—111no—
1633C22×C4—221no—
1634C22×C4—222no—
1635C22×C4—222no—
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×C4—221no—
1651C22×C4—221no—
1652C22×C4—221no—
1653C22×C4—221no—
1654C22×C4—221no—
1655C22×C4—444no—
1656C22×C4—444no—
1657C22×C4C23×D1111yescharacteristic
1658C22×C4C23×D1111yescharacteristic
1659Q16—22no—
1660Q16—22no—
1661Q16—22no—
1662Q16—22no—
1663Q16—22no—
1664Q16—22no—
1665Q16—41no—
1666Q16—41no—
1667Q16—114no—
1668Q16—222no—
1669Q16—222no—
1670Q16—222no—
1671Q16—222no—
1672Q16—222no—
1673Q16—222no—
1674Q16—222no—
1675Q16—441no—
1676Q16—441no—
1677Q16—441no—
1678Q16D4×D1114yes—
1679SD16—114no—
1680SD16—114no—
1681SD16—222no—
1682SD16—222no—
1683SD16—222no—
1684SD16—222no—
1685SD16—222no—
1686SD16—222no—
1687SD16—222no—
1688SD16—222no—
1689SD16—222no—
1690SD16—222no—
1691SD16—441no—
1692SD16—441no—
1693D8—222no—
1694D8—441no—
1695M16—114no—
1696M16—222no—
1697M16—222no—
1698M16—222no—
1699M16—222no—
1700M16—222no—
1701C2×C8—22no—
1702C2×C8—22no—
1703C2×C8—111no—
1704C2×C8—111no—
1705C2×C8—111no—
1706C2×C8—111no—
1707C2×C8—222no—
1708C2×C8—222no—
1709C2×C8—222no—
1710C2×C8—222no—
1711C2×C8C23×D1111yescharacteristic
1712C2×C8C23×D1111yescharacteristic
1713C2×C8C23×D1111yescharacteristic
1714C2×C8C23×D1111yescharacteristic
1715C4⋊C4—21no—
1716C4⋊C4—21no—
1717C4⋊C4—21no—
1718C4⋊C4—21no—
1719C4⋊C4—21no—
1720C4⋊C4—21no—
1721C4⋊C4—21no—
1722C4⋊C4—21no—
1723C4⋊C4—21no—
1724C4⋊C4—21no—
1725C4⋊C4—111no—
1726C4⋊C4—111no—
1727C4⋊C4—111no—
1728C4⋊C4—111no—
1729C4⋊C4—111no—
1730C4⋊C4—111no—
1731C4⋊C4—111no—
1732C4⋊C4—221no—
1733C4⋊C4—221no—
1734C4⋊C4—221no—
1735C4⋊C4—221no—
1736C4⋊C4—221no—
1737C4⋊C4—221no—
1738C4⋊C4—221no—
1739C4⋊C4—221no—
1740C4⋊C4—221no—
1741C4⋊C4—221no—
1742C4⋊C4—221no—
1743C4⋊C4—221no—
1744C4⋊C4—221no—
1745C4⋊C4—221no—
1746C4⋊C4—221no—
1747C4⋊C4—221no—
1748C4⋊C4—221no—
1749C4⋊C4D4×D1111yescharacteristic
1750C4⋊C4C23×D1111yescharacteristic
1751C4⋊C4C23×D1111yescharacteristic
1752C22⋊C4—21no—
1753C22⋊C4—21no—
1754C22⋊C4—21no—
1755C22⋊C4—21no—
1756C22⋊C4—111no—
1757C22⋊C4—111no—
1758C22⋊C4—111no—
1759C22⋊C4—111no—
1760C22⋊C4—111no—
1761C22⋊C4—111no—
1762C22⋊C4—111no—
1763C22⋊C4—111no—
1764C22⋊C4—221no—
1765C22⋊C4—221no—
1766C22⋊C4—221no—
1767C22⋊C4—221no—
1768C22⋊C4—221no—
1769C22⋊C4—221no—
1770C22⋊C4—221no—
1771C22⋊C4—221no—
1772C22⋊C4—221no—
1773C22⋊C4—221no—
1774C22⋊C4—221no—
1775C22⋊C4—221no—
1776C22⋊C4—221no—
1777C22⋊C4—221no—
1778C22⋊C4—221no—
1779C22⋊C4—221no—
1780C22⋊C4—221no—
1781C22⋊C4—221no—
1782C22⋊C4—221no—
1783C22⋊C4—221no—
1784C22⋊C4—221no—
1785C22⋊C4—221no—
1786C22⋊C4—221no—
1787C22⋊C4D4×D1111yescharacteristic
1788C22⋊C4D4×D1111yescharacteristic
1789C42—21no—
1790C42—21no—
1791C42—111no—
1792C42—221no—
1793C42—221no—
1794C42—221no—
1795C42—221no—
1796C42—221no—
1797C42C23×D1111yescharacteristic
1798C11#6107611yescharacteristic, complemented, Sylow
1799C23—111no—
1800C23—111no—
1801C23—111no—
1802C23—222no—
1803C23—222no—
1804C23—221no—
1805C23—221no—
1806C23—221no—
1807C23—441no—
1808C23—442no—
1809C23—442no—
1810C23—881no—
1811C23C2×D4×D1111yescharacteristic
1812C23C2×D4×D1111yescharacteristic
1813Q8—21no—
1814Q8—21no—
1815Q8—21no—
1816Q8—21no—
1817Q8—21no—
1818Q8—21no—
1819Q8—21no—
1820Q8—21no—
1821Q8—21no—
1822Q8—21no—
1823Q8—42no—
1824Q8—42no—
1825Q8—42no—
1826Q8—42no—
1827Q8—112no—
1828Q8—224no—
1829Q8—222no—
1830Q8—221no—
1831Q8—221no—
1832Q8—221no—
1833Q8—221no—
1834Q8—221no—
1835Q8—442no—
1836Q8—442no—
1837Q8—442no—
1838Q8—442no—
1839Q8—442no—
1840Q8—442no—
1841Q8—442no—
1842Q8C2×D4×D1112yes—
1843Q8C2×D4×D1112yes—
1844D4—22no—
1845D4—112no—
1846D4—222no—
1847D4—224no—
1848D4—222no—
1849D4—222no—
1850D4—222no—
1851D4—221no—
1852D4—221no—
1853D4—221no—
1854D4—221no—
1855D4—221no—
1856D4—441no—
1857D4—442no—
1858D4—442no—
1859D4—442no—
1860D4—442no—
1861D4—442no—
1862D4—442no—
1863D4—442no—
1864D4—442no—
1865D4—441no—
1866D4—442no—
1867D4—442no—
1868D4—442no—
1869D4—881no—
1870D4—881no—
1871C2×C4—21no—
1872C2×C4—21no—
1873C2×C4—21no—
1874C2×C4—21no—
1875C2×C4—21no—
1876C2×C4—21no—
1877C2×C4—21no—
1878C2×C4—21no—
1879C2×C4—21no—
1880C2×C4—21no—
1881C2×C4—21no—
1882C2×C4—21no—
1883C2×C4—42no—
1884C2×C4—42no—
1885C2×C4—42no—
1886C2×C4—42no—
1887C2×C4—111no—
1888C2×C4—112no—
1889C2×C4—112no—
1890C2×C4—111no—
1891C2×C4—111no—
1892C2×C4—111no—
1893C2×C4—111no—
1894C2×C4—222no—
1895C2×C4—224no—
1896C2×C4—222no—
1897C2×C4—224no—
1898C2×C4—222no—
1899C2×C4—221no—
1900C2×C4—221no—
1901C2×C4—221no—
1902C2×C4—221no—
1903C2×C4—221no—
1904C2×C4—221no—
1905C2×C4—221no—
1906C2×C4—221no—
1907C2×C4—221no—
1908C2×C4—442no—
1909C2×C4—442no—
1910C2×C4—442no—
1911C2×C4—442no—
1912C2×C4—442no—
1913C2×C4—442no—
1914C2×C4—442no—
1915C2×C4—442no—
1916C2×C4—442no—
1917C2×C4—442no—
1918C2×C4—442no—
1919C2×C4—442no—
1920C2×C4—442no—
1921C2×C4—442no—
1922C2×C4—442no—
1923C2×C4—881no—
1924C2×C4—881no—
1925C2×C4—881no—
1926C2×C4C2×D4×D1111yescharacteristic
1927C2×C4C2×D4×D1111yescharacteristic
1928C2×C4C2×D4×D1111yescharacteristic
1929C2×C4C2×D4×D1111yescharacteristic
1930C2×C4C24×D1111yescharacteristic
1931C8—21no—
1932C8—21no—
1933C8—21no—
1934C8—112no—
1935C8—221no—
1936C8—221no—
1937C8—221no—
1938C8C2×D4×D1112yes—
1939C22—21no—
1940C22—21no—
1941C22—21no—
1942C22—21no—
1943C22—21no—
1944C22—112no—
1945C22—221no—
1946C22—221no—
1947C22—221no—
1948C22—221no—
1949C22—221no—
1950C22—221no—
1951C22—222no—
1952C22—221no—
1953C22—221no—
1954C22—444no—
1955C22—441no—
1956C22—441no—
1957C22—441no—
1958C22—441no—
1959C22—441no—
1960C22—441no—
1961C22—441no—
1962C22—441no—
1963C22—884no—
1964C22#1062329712yescomplemented
1965C22C22×D4×D1111yescharacteristic
1966C4—21no—
1967C4—21no—
1968C4—21no—
1969C4—22no—
1970C4—22no—
1971C4—21no—
1972C4—41no—
1973C4—41no—
1974C4—41no—
1975C4—41no—
1976C4—41no—
1977C4—41no—
1978C4—112no—
1979C4—221no—
1980C4—221no—
1981C4—221no—
1982C4—222no—
1983C4—221no—
1984C4—441no—
1985C4—441no—
1986C4—441no—
1987C4—441no—
1988C4C22×D4×D1111yescharacteristic
1989C4D11×H(5,𝔽2)11yescharacteristic
1990C2—22no—
1991C2—41no—
1992C2—222no—
1993C2—441no—
1994C2—441no—
1995C2—442no—
1996C2—881no—
1997C2—881no—
1998C2D42×D1111yescharacteristic
1999C2C2×#1062329711yescharacteristic
2000C2#1308340111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingD4×C11×Q16C2
socleC22×C11C23×D4
hypercenterD4×Q16D11
hypocenterC11#61076
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ D4×Q16

Complements

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

NH ≅ G/Ntype
1. C2×#10623297C2semidirect
2. C22×#66971C2semidirect
3. #13082293C2semidirect
4. #13082266C2semidirect
5. #13080361C2semidirect
6. #13080328C2semidirect
7. #13080316C2semidirect
8. #13080273C2semidirect
9. #13080272C2semidirect
10. #13080261C2semidirect
11. #13080255C2semidirect
12. #13080192C2semidirect
13. #13080187C2semidirect
14. #13080186C2semidirect
15. #13080186C2semidirect
16. #13080168C2semidirect
17. #13080166C2semidirect
18. #13080127C2semidirect
19. #13080123C2semidirect
20. #13079104C2semidirect
21. #13078306C2semidirect
22. #13078243C2semidirect
23. #13078163C2semidirect
24. #13078141C2semidirect
25. #13077932C2semidirect
26. #13077906C2semidirect
27. #13077839C2semidirect
28. D11×#451C2semidirect
29. #13077454C2semidirect
30. #13077336C2semidirect
31. D4×C11×Q16C2semidirect
33. C2×#67040C22semidirect
37. C22×C11×Q16C22semidirect
43. Q8×C22⋊D11C22semidirect
45. C2×#66995C22semidirect
46. C2×#66995C22semidirect
51. C2×#66972C22semidirect
61. C2×#66971C22semidirect
62. C2×#66971C22semidirect
63. C2×#66971C22semidirect
64. C2×Q16×D11C22semidirect
65. C2×Q16×D11C22semidirect
66. C2×Q16×D11C22semidirect
67. C2×#66957C22semidirect
69. C2×#66954C22semidirect
72. #10623258C22semidirect
78. #10623255C22semidirect
80. #10623164C22semidirect
90. #10623159C22semidirect
96. #10623107C22semidirect
98. #10623103C22semidirect
106. C11×#494C22semidirect
108. C11×#467C22semidirect
109. C11×#462C22semidirect
110. C11×#462C22semidirect
113. C11×#451C22semidirect
114. C11×#451C22semidirect
115. C4×C11×Q16C22semidirect
118. #10622841C22semidirect
120. #10622840C22semidirect
121. #10622804C22semidirect
122. #10622803C22semidirect
123. #10622803C22semidirect
124. #10622802C22semidirect
125. #10622802C22semidirect
128. #10622800C22semidirect
129. #10622800C22semidirect
130. #10622799C22semidirect
131. #10622799C22semidirect
132. #10622799C22semidirect
133. #10622799C22semidirect
134. #10622798C22semidirect
135. #10622798C22semidirect
136. #10622797C22semidirect
137. #10622795C22semidirect
138. #10622795C22semidirect
139. #10622794C22semidirect
141. #10622727C22semidirect
143. #10622724C22semidirect
144. #10622703C22semidirect
145. #10622699C22semidirect
146. #10622699C22semidirect
147. #10622696C22semidirect
148. #10622665C22semidirect
151. #10622662C22semidirect
153. #10622660C22semidirect
154. #10622660C22semidirect
156. #10622643C22semidirect
157. #10622641C22semidirect
158. #10622641C22semidirect
159. #10622639C22semidirect
161. #10622502C22semidirect
162. #10622499C22semidirect
163. #10622499C22semidirect
164. #10622494C22semidirect
165. #10622458C22semidirect
166. #10622457C22semidirect
167. #10622452C22semidirect
168. #10622449C22semidirect
169. #10622432C22semidirect
170. #10622431C22semidirect
171. #10622429C22semidirect
172. #10622426C22semidirect
173. #10622425C22semidirect
176. #10622424C22semidirect
177. #10622423C22semidirect
178. #10622421C22semidirect
179. #10622421C22semidirect
180. #10622421C22semidirect
181. #10622420C22semidirect
182. #10622419C22semidirect
185. #10622416C22semidirect
186. #10622415C22semidirect
187. D11×#103C22semidirect
188. D11×#103C22semidirect
189. #10622411C22semidirect
190. #10622406C22semidirect
191. #10622403C22semidirect
192. #10622401C22semidirect
194. #10622347C22semidirect
195. #10622346C22semidirect
197. #10622342C22semidirect
198. #10622340C22semidirect
201. #10622309C22semidirect
202. C4×#4314C22semidirect
203. #10622302C22semidirect
204. #10622301C22semidirect
356. #66971D4semidirect
804. D4×Q16D11semidirect
998. C22×Q16C2×D11semidirect
1051. #494C2×D11semidirect
1063. #467C2×D11semidirect
1080. #462C2×D11semidirect
1081. #462C2×D11semidirect
1105. #451C2×D11semidirect
1106. #451C2×D11semidirect
1121. C4×Q16C2×D11semidirect
1148. C22×C11#578semidirect
1798. C11#61076semidirect
1964. C22#10623297semidirect

Maximal subgroups

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

subgroupindex
C2×#106232972
C22×#669712
#130822932
#130822662
#130803612
#130803282
#130803162
#130802732
#130802722
#130802612
#130802552
#130801922
#130801872
#130801862
#130801682
#130801662
#130801272
#130801232
#130791042
#130783062
#130782432
#130781632
#130781412
#130779322
#130779062
#130778392
D11×#4512
#130774542
#130773362
D4×C11×Q162
#6107611