Finite Group Databasebeta

← #15638630

Subgroups — #15638630

Order 2816.

2374 conjugacy classes of subgroups.

The subgroup lattice has 1974 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082374C211yesmaximal, characteristic, complemented
2D11×#548C211yesmaximal, characteristic, complemented
3#13080610C211yesmaximal, characteristic, complemented
4#13080608C211yesmaximal, characteristic, complemented
5#13080606C211yesmaximal, characteristic, complemented
6#13080605C211yesmaximal, characteristic, complemented
7#13080604C211yesmaximal, characteristic, complemented
8#13080603C211yesmaximal, characteristic, complemented
9#13080601C211yesmaximal, characteristic, complemented
10#13080118C211yesmaximal, characteristic, complemented
11#13080117C211yesmaximal, characteristic, complemented
12#13080116C211yesmaximal, characteristic, complemented
13#13080114C211yesmaximal, characteristic, complemented
14#13080113C211yesmaximal, characteristic, complemented
15#13080112C211yesmaximal, characteristic, complemented
16#13080108C211yesmaximal, characteristic, complemented
17#13080104C211yesmaximal, characteristic, complemented
18#13079604C211yesmaximal, characteristic, complemented
19#13079601C211yesmaximal, characteristic, complemented
20#13079421C211yesmaximal, characteristic, complemented
21#13079417C211yesmaximal, characteristic, complemented
22#13079366C211yesmaximal, characteristic, complemented
23#13079363C211yesmaximal, characteristic, complemented
24#13078740C211yesmaximal, characteristic, complemented
25#13078736C211yesmaximal, characteristic, complemented
26#13077869C211yesmaximal, characteristic, complemented
27#13077865C211yesmaximal, characteristic, complemented
28C2×#10622419C211yesmaximal, characteristic, complemented
29D11×#448C211yesmaximal, characteristic, complemented
30#13077641C211yesmaximal, characteristic, complemented
31C11×#3308C211yesmaximal, characteristic, complemented
32C2×#67042—21no—
33C2×#41×D11C2211yescharacteristic, complemented
34C22×Q8×D11C2211yescharacteristic, complemented
35C11×#548C2211yescharacteristic, complemented
36C11×#547C2211yescharacteristic, complemented
37#10623362C2211yescharacteristic, complemented
38#10623360—21no—
39C2×#67002C2211yescharacteristic, complemented
40#10623348C2211yescharacteristic, complemented
41C22×#4325C2211yescharacteristic, complemented
42C2×#66967C2211yescharacteristic, complemented
43C2×SD16×D11C2211yescharacteristic, complemented
44C2×SD16×D11C2211yescharacteristic, complemented
45C2×#66964C2211yescharacteristic, complemented
46C2×#66961C2211yescharacteristic, complemented
47C22×#4314C2211yescharacteristic, complemented
48#10623257C2211yescharacteristic, complemented
49#10623256C2211yescharacteristic
50#10623208—21no—
51#10623208C2211yescharacteristic, complemented
52D11×#124—21no—
53D11×#124C2211yescharacteristic, complemented
54#10623185—21no—
55#10623185—21no—
56#10623184—21no—
57#10623184—21no—
58#10623164—21no—
59#10623164C2211yescharacteristic, complemented
60#10623161—21no—
61#10623160—21no—
62D11×C22⋊Q8—21no—
63D11×C22⋊Q8C2211yescharacteristic, complemented
64#10623140C2211yescharacteristic, complemented
65#10623140C2211yescharacteristic, complemented
66D11×#121—21no—
67D11×#121C2211yescharacteristic
68D11×#121C2211yescharacteristic
69D11×#121C2211yescharacteristic, complemented
70#10623129—21no—
71#10623129C2211yescharacteristic, complemented
72#10623107C2211yescharacteristic, complemented
73C4×Q8×D11C2211yescharacteristic, complemented
74#10623083—21no—
75#10623083C2211yescharacteristic, complemented
76D4×D44C2211yescharacteristic, complemented
77D4×D44C2211yescharacteristic, complemented
78#10623079C2211yescharacteristic
79C4×D4×D11—21no—
80C4×D4×D11C2211yescharacteristic
81#10623038C2211yescharacteristic, complemented
82#10623038C2211yescharacteristic, complemented
83C2×#66948C2211yescharacteristic
84C2×#66948C2211yescharacteristic
85C11×#489C2211yescharacteristic, complemented
86C11×#484C2211yescharacteristic, complemented
87C11×#480C2211yescharacteristic, complemented
88C11×#477C2211yescharacteristic, complemented
89C11×#468C2211yescharacteristic, complemented
90C11×#466C2211yescharacteristic, complemented
91C11×#463C2211yescharacteristic, complemented
92C11×#449C2211yescharacteristic, complemented
93C11×#448C2211yescharacteristic, complemented
94C11×#440C2211yescharacteristic, complemented
95C11×#435C2211yescharacteristic, complemented
96C11×#417C2211yescharacteristic, complemented
97C2×C11×#103C2211yescharacteristic, complemented
98#10622851C2211yescharacteristic, complemented
99#10622840C2211yescharacteristic, complemented
100#10622789C2211yescharacteristic, complemented
101#10622783C2211yescharacteristic, complemented
102#10622783C2211yescharacteristic, complemented
103#10622782C2211yescharacteristic, complemented
104#10622776C2211yescharacteristic, complemented
105#10622769C2211yescharacteristic, complemented
106#10622769C2211yescharacteristic, complemented
107#10622767C2211yescharacteristic, complemented
108#10622747C2211yescharacteristic, complemented
109#10622740C2211yescharacteristic, complemented
110#10622739C2211yescharacteristic, complemented
111#10622728C2211yescharacteristic, complemented
112#10622724C2211yescharacteristic, complemented
113C2×(C2×D11)⋊C8C2211yescharacteristic, complemented
114#10622704C2211yescharacteristic, complemented
115#10622702C2211yescharacteristic, complemented
116#10622671C2211yescharacteristic, complemented
117#10622670C2211yescharacteristic, complemented
118#10622662C2211yescharacteristic, complemented
119#10622659C2211yescharacteristic, complemented
120#10622655C2211yescharacteristic, complemented
121#10622653C2211yescharacteristic, complemented
122#10622651C2211yescharacteristic, complemented
123#10622651C2211yescharacteristic, complemented
124#10622650C2211yescharacteristic, complemented
125#10622649C2211yescharacteristic, complemented
126#10622640C2211yescharacteristic, complemented
127#10622639C2211yescharacteristic, complemented
128#10622631C2211yescharacteristic, complemented
129#10622629C2211yescharacteristic, complemented
130#10622624C2211yescharacteristic, complemented
131#10622583C2211yescharacteristic, complemented
132C2×#66874C2211yescharacteristic, complemented
133#10622580C2211yescharacteristic, complemented
134#10622579C2211yescharacteristic, complemented
135#10622502C2211yescharacteristic, complemented
136#10622502C2211yescharacteristic, complemented
137#10622499C2211yescharacteristic, complemented
138#10622499C2211yescharacteristic, complemented
139#10622497C2211yescharacteristic, complemented
140#10622496C2211yescharacteristic, complemented
141#10622496C2211yescharacteristic, complemented
142#10622495C2211yescharacteristic, complemented
143#10622495C2211yescharacteristic, complemented
144#10622495C2211yescharacteristic, complemented
145#10622495C2211yescharacteristic, complemented
146#10622488C2211yescharacteristic, complemented
147#10622461C2211yescharacteristic, complemented
148#10622457C2211yescharacteristic, complemented
149#10622449C2211yescharacteristic, complemented
150#10622448C2211yescharacteristic, complemented
151#10622432C2211yescharacteristic, complemented
152#10622432C2211yescharacteristic, complemented
153#10622430C2211yescharacteristic, complemented
154#10622430C2211yescharacteristic, complemented
155#10622425C2211yescharacteristic, complemented
156#10622425C2211yescharacteristic, complemented
157#10622424C2211yescharacteristic, complemented
158#10622424C2211yescharacteristic, complemented
159#10622422C2211yescharacteristic, complemented
160#10622419C2211yescharacteristic, complemented
161#10622419C2211yescharacteristic, complemented
162#10622419C2211yescharacteristic, complemented
163#10622419C2211yescharacteristic, complemented
164#10622419C2211yescharacteristic, complemented
165#10622419C2211yescharacteristic, complemented
166#10622419C2211yescharacteristic, complemented
167#10622419C2211yescharacteristic, complemented
168#10622419C2211yescharacteristic, complemented
169#10622419C2211yescharacteristic, complemented
170#10622416C2211yescharacteristic, complemented
171D11×#103C2211yescharacteristic, complemented
172D11×#103C2211yescharacteristic, complemented
173#10622408C2211yescharacteristic, complemented
174#10622407C2211yescharacteristic, complemented
175#10622400C2211yescharacteristic, complemented
176#10622400C2211yescharacteristic, complemented
177#10622394C2211yescharacteristic, complemented
178#10622394C2211yescharacteristic, complemented
179#10622389C2211yescharacteristic, complemented
180#10622388C2211yescharacteristic, complemented
181#10622388C2211yescharacteristic, complemented
182#10622387C2211yescharacteristic, complemented
183#10622387C2211yescharacteristic, complemented
184#10622386C2211yescharacteristic, complemented
185#10622386C2211yescharacteristic, complemented
186#10622386C2211yescharacteristic, complemented
187#10622386C2211yescharacteristic, complemented
188#10622384C2211yescharacteristic, complemented
189#10622378C2211yescharacteristic, complemented
190#10622375C2211yescharacteristic, complemented
191#10622351C2211yescharacteristic, complemented
192#10622347C2211yescharacteristic, complemented
193#10622345C2211yescharacteristic, complemented
194#10622344C2211yescharacteristic, complemented
195#10622343C2211yescharacteristic, complemented
196#10622341C2211yescharacteristic, complemented
197#10622339C2211yescharacteristic, complemented
198D11×C22⋊C8C2211yescharacteristic, complemented
199#10622325C2211yescharacteristic, complemented
200#10622323C2211yescharacteristic, complemented
201#10622319C2211yescharacteristic, complemented
202#10622318C2211yescharacteristic, complemented
203C2×C11×#41—21no—
204C2×C11×#41C2311yescharacteristic
205C22×Q8×C11C2311yescharacteristic
206#67042—48no—
207#41×D11—42no—
208#41×D11—42no—
209C2×#4343—21no—
210C2×#4343—21no—
211C2×#4343C2311yescharacteristic
212C2×Q8×D11—21no—
213C2×Q8×D11—21no—
214C2×Q8×D11—42no—
215C2×Q8×D11—42no—
216C2×Q8×D11C2311yescharacteristic
217C2×Q8×D11C2311yescharacteristic
218C2×Q8×D11C2311yescharacteristic
219C2×Q8×D11C2311yescharacteristic
220C2×#4341—21no—
221C2×#4341C2311yescharacteristic
222C2×D4×D11—21no—
223C2×D4×D11—21no—
224C2×D4×D11—21no—
225C2×D4×D11—21no—
226C2×D4×D11—21no—
227C2×D4×D11—21no—
228C2×D4×D11—21no—
229C2×D4×D11D411yescharacteristic
230C2×D4×D11C2311yescharacteristic
231C2×D4×D11C2311yescharacteristic
232C2×D4×D11C2311yescharacteristic
233C2×#4339—21no—
234C2×#4339—21no—
235C2×#4339—21no—
236C2×#4339—21no—
237C2×#4339C2311yescharacteristic
238C22×D44—21no—
239C22×D44—21no—
240C22×D44—21no—
241C22×D44C2311yescharacteristic
242C22×D44C2311yescharacteristic
243C22×C4×D11—21no—
244C22×C4×D11—21no—
245C22×C4×D11C2311yescharacteristic
246C22×C4×D11C2311yescharacteristic
247C22×Dic22—21no—
248C22×Dic22C2311yescharacteristic
249C2×C11×SD16C2311yescharacteristic
250C2×C11×SD16C2311yescharacteristic
251C2×C11×D8C2311yescharacteristic
252C2×C11×M16C2311yescharacteristic
253C22×C8×C11C2311yescharacteristic
254C11×C4⋊Q8C2311yescharacteristic
255C11×#124—21no—
256C11×#124C2311yescharacteristic
257C11×#123—21no—
258C11×#123—21no—
259C11×C22⋊Q8—21no—
260C11×C22⋊Q8—21no—
261C11×C22⋊Q8C2311yescharacteristic
262C11×#121—21no—
263C11×#121C2311yescharacteristic
264C11×#121C2311yescharacteristic
265C11×#121C2311yescharacteristic
266C4×Q8×C11C2311yescharacteristic
267C4×D4×C11—21no—
268C4×D4×C11C2311yescharacteristic
269C4×D4×C11C2311yescharacteristic
270C2×C11×C4⋊C4C2311yescharacteristic
271C2×C11×C4⋊C4C2311yescharacteristic
272#67002—42no—
273#67000—21no—
274#67000—21no—
275#67000C2311yescharacteristic
276#66999—21no—
277#66999—21no—
278#66999C2311yescharacteristic
279Q8×Dic11C2311yescharacteristic
280C2×#4325—42no—
281C2×#4325C2311yescharacteristic
282C2×#4325C2311yescharacteristic
283C2×#4325C2311yescharacteristic
284C2×#4325C2311yescharacteristic
285C2×#4325C2311yescharacteristic
286C2×#4325C2311yescharacteristic
287#66993C2311yescharacteristic
288#66992—21no—
289#66992—21no—
290#66992—21no—
291#66992—21no—
292#66992—21no—
293#66991—21no—
294#66991C2311yescharacteristic
295#66991C2311yescharacteristic
296#66990—21no—
297#66990—21no—
298#66989—21no—
299#66989C2311yescharacteristic
300D4×Dic11—21no—
301D4×Dic11D411yescharacteristic
302C2×#4324C2311yescharacteristic
303C2×#4324C2311yescharacteristic
304C2×#4323C2311yescharacteristic
305C2×#4323C2311yescharacteristic
306C2×#4323C2311yescharacteristic
307C2×#4323C2311yescharacteristic
308#66983—21no—
309#66983—21no—
310#66983C2311yescharacteristic
311#66983C2311yescharacteristic
312#66983C2311yescharacteristic
313#66982—21no—
314#66982—21no—
315C4×C22⋊D11—21no—
316C4×C22⋊D11—21no—
317C4×C22⋊D11—21no—
318C4×C22⋊D11C2311yescharacteristic
319C4×C22⋊D11C2311yescharacteristic
320C2×(C2×D11)⋊C4—21no—
321C2×(C2×D11)⋊C4—21no—
322#66977—21no—
323#66977C2311yescharacteristic
324C2×#4318C2311yescharacteristic
325C22×C11⋊C8C2311yescharacteristic
326#66967—42no—
327SD16×D11—42no—
328SD16×D11—42no—
329#66964—42no—
330#66961—42no—
331C2×D88C2311yescharacteristic
332C2×D88C2311yescharacteristic
333C2×D88C2311yescharacteristic
334C2×#4314—42no—
335C2×#4314C2311yescharacteristic
336C2×#4314C2311yescharacteristic
337C2×#4314C2311yescharacteristic
338C2×#4314C2311yescharacteristic
339C2×#4314C2311yescharacteristic
340C2×#4314C2311yescharacteristic
341C2×#4313C2311yescharacteristic
342C2×#4313C2311yescharacteristic
343C2×C8×D11C2311yescharacteristic
344C2×C8×D11C2311yescharacteristic
345#66950—21no—
346#66950C2311yescharacteristic
347#66949—21no—
348#66949—21no—
349#66949—21no—
350#66949—21no—
351#66949—21no—
352#66948—21no—
353#66948—21no—
354#66948—21no—
355#66948—21no—
356#66948—21no—
357#66948—21no—
358#66948—21no—
359#66948C2311yescharacteristic
360#66948C2311yescharacteristic
361#66948C2311yescharacteristic
362#66948C2311yescharacteristic
363#66948C2311yescharacteristic
364#66948C2311yescharacteristic
365#66948C2311yescharacteristic
366#66948C2311yescharacteristic
367#66947—21no—
368#66947—21no—
369#66947—21no—
370#66947—21no—
371#66946—21no—
372#66946—21no—
373#66946D411yescharacteristic
374#66946C2311yescharacteristic
375#66946C2311yescharacteristic
376C4⋊C4×D11—21no—
377C4⋊C4×D11—21no—
378C4⋊C4×D11D411yescharacteristic
379C4⋊C4×D11C2311yescharacteristic
380C4⋊C4×D11C2311yescharacteristic
381C4⋊C4×D11C2311yescharacteristic
382#66941C2311yescharacteristic
383#66940—21no—
384#66940C2311yescharacteristic
385#66938—21no—
386#66938—21no—
387#66938—21no—
388#66938—21no—
389#66938—21no—
390#66938—21no—
391#66938—21no—
392#66937—21no—
393#66937—21no—
394#66937—21no—
395#66937—21no—
396#66937—21no—
397#66937—21no—
398#66937—21no—
399#66937—21no—
400#66935—21no—
401#66935—21no—
402#66935—21no—
403#66935—21no—
404#66935—21no—
405#66935—21no—
406(C22⋊D11)⋊C4—21no—
407(C22⋊D11)⋊C4—21no—
408(C22⋊D11)⋊C4D411yescharacteristic
409(C22⋊D11)⋊C4D411yescharacteristic
410C22⋊C4×D11—21no—
411C22⋊C4×D11—21no—
412C22⋊C4×D11—21no—
413C22⋊C4×D11—21no—
414C22⋊C4×D11—21no—
415C22⋊C4×D11—21no—
416C22⋊C4×D11D411yescharacteristic
417C22⋊C4×D11D411yescharacteristic
418#66931—21no—
419#66931—21no—
420#66931—21no—
421#66928—21no—
422#66928C2311yescharacteristic
423#66927C2311yescharacteristic
424C4×D44—21no—
425C4×D44C2311yescharacteristic
426C4×D44C2311yescharacteristic
427C42×D11—21no—
428C42×D11C2311yescharacteristic
429C4×Dic22—21no—
430C4×Dic22C2311yescharacteristic
431C11×#107C2311yescharacteristic
432C11×#107C2311yescharacteristic
433C11×#107C2311yescharacteristic
434C11×C4⋊C8C2311yescharacteristic
435C11×#103C2311yescharacteristic
436C11×#103C2311yescharacteristic
437C11×#103C2311yescharacteristic
438C11×#103C2311yescharacteristic
439C11×#103C2311yescharacteristic
440C11×#103C2311yescharacteristic
441C11×#102C2311yescharacteristic
442C11×#102C2311yescharacteristic
443C11×#102C2311yescharacteristic
444C11×#102C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446C11×C22⋊C8C2311yescharacteristic
447C11×#97C2311yescharacteristic
448#66899C2311yescharacteristic
449#66899C2311yescharacteristic
450#66896C2311yescharacteristic
451#66896C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453C22⋊(C11⋊C8)C2311yescharacteristic
454#66885C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
457#66885C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464(C2×D11)⋊C8C2311yescharacteristic
465(C2×D11)⋊C8C2311yescharacteristic
466#66882C2311yescharacteristic
467#66880C2311yescharacteristic
468#66880C2311yescharacteristic
469#66879C2311yescharacteristic
470#66879C2311yescharacteristic
471Dic11⋊C8C2311yescharacteristic
472Dic11⋊C8C2311yescharacteristic
473#66874C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66874C2311yescharacteristic
477#66874C2311yescharacteristic
478#66874C2311yescharacteristic
479#66873C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66873C2311yescharacteristic
485#66871C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488#66871C2311yescharacteristic
489C4⋊(C11⋊C8)C2311yescharacteristic
490#66867C2311yescharacteristic
491#61572—111nomaximal, Sylow
492C23×D11—21no—
493C23×D11—21no—
494C23×D11—21no—
495C23×D11—21no—
496C23×D11—21no—
497C23×D11C2×D411yescharacteristic
498C23×D11C2×D411yescharacteristic
499C11×#41—22no—
500C11×#41—41no—
501C11×#41—44no—
502C2×Q8×C11—21no—
503C2×Q8×C11—21no—
504C2×Q8×C11—22no—
505C2×Q8×C11—41no—
506C2×Q8×C11C2411yescharacteristic
507C2×Q8×C11C2411yescharacteristic
508C2×D4×C11—21no—
509C2×D4×C11—21no—
510C2×D4×C11—21no—
511C2×D4×C11—21no—
512C2×D4×C11C2×D411yescharacteristic
513C2×D4×C11C2411yescharacteristic
514C2×D4×C11C2411yescharacteristic
515C22×C4×C11—21no—
516C22×C4×C11—21no—
517C22×C4×C11—21no—
518C22×C4×C11—21no—
519C22×C4×C11—21no—
520C22×C4×C11C2411yescharacteristic
521C22×C4×C11C2411yescharacteristic
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11—21no—
527C2×C22⋊D11—21no—
528C2×C22⋊D11—21no—
529C2×C22⋊D11—21no—
530C2×C22⋊D11—21no—
531C2×C22⋊D11—21no—
532C2×C22⋊D11—21no—
533C2×C22⋊D11—21no—
534C2×C22⋊D11C2×D411yescharacteristic
535C2×C22⋊D11C2×D411yescharacteristic
536C22×Dic11—21no—
537C22×Dic11—21no—
538C22×Dic11C2×D411yescharacteristic
539C22×Dic11C2×D411yescharacteristic
540#4343—22no—
541#4343—41no—
542#4343—44no—
543#4343—44no—
544Q8×D11—22no—
545Q8×D11—22no—
546Q8×D11—22no—
547Q8×D11—22no—
548Q8×D11—41no—
549Q8×D11—41no—
550Q8×D11—41no—
551Q8×D11—41no—
552Q8×D11—44no—
553Q8×D11—44no—
554#4341—22no—
555#4341—41no—
556#4341—44no—
557D4×D11—24no—
558D4×D11—41no—
559D4×D11—41no—
560D4×D11—44no—
561D4×D11—41no—
562D4×D11—41no—
563D4×D11—41no—
564D4×D11—41no—
565D4×D11—44no—
566D4×D11—44no—
567D4×D11—44no—
568D4×D11—44no—
569D4×D11—44no—
570D4×D11—44no—
571#4339—22no—
572#4339—41no—
573#4339—44no—
574#4339—44no—
575#4339—44no—
576#4339—44no—
577C2×D44—21no—
578C2×D44—21no—
579C2×D44—21no—
580C2×D44—21no—
581C2×D44—21no—
582C2×D44—21no—
583C2×D44—21no—
584C2×D44—21no—
585C2×D44—21no—
586C2×D44—21no—
587C2×D44—21no—
588C2×D44—21no—
589C2×D44—21no—
590C2×D44—41no—
591C2×D44—41no—
592C2×D44—41no—
593C2×D44—41no—
594C2×D44—44no—
595C2×D44—44no—
596C2×D44—44no—
597C2×D44C2×D411yescharacteristic
598C2×D44C2411yescharacteristic
599C2×D44C2411yescharacteristic
600C2×D44C2411yescharacteristic
601C2×D44C2411yescharacteristic
602C2×C4×D11—21no—
603C2×C4×D11—21no—
604C2×C4×D11—21no—
605C2×C4×D11—21no—
606C2×C4×D11—21no—
607C2×C4×D11—21no—
608C2×C4×D11—21no—
609C2×C4×D11—21no—
610C2×C4×D11—21no—
611C2×C4×D11—21no—
612C2×C4×D11—21no—
613C2×C4×D11—21no—
614C2×C4×D11—41no—
615C2×C4×D11—41no—
616C2×C4×D11—41no—
617C2×C4×D11—41no—
618C2×C4×D11—44no—
619C2×C4×D11—44no—
620C2×C4×D11C2×D411yescharacteristic
621C2×C4×D11C2×D411yescharacteristic
622C2×C4×D11C2×D411yescharacteristic
623C2×C4×D11C2×D411yescharacteristic
624C2×C4×D11C2×D411yescharacteristic
625C2×C4×D11C2×D411yescharacteristic
626C2×C4×D11C2411yescharacteristic
627C2×C4×D11C2411yescharacteristic
628C2×C4×D11C2411yescharacteristic
629C2×Dic22—21no—
630C2×Dic22—22no—
631C2×Dic22—21no—
632C2×Dic22—21no—
633C2×Dic22—21no—
634C2×Dic22—21no—
635C2×Dic22—21no—
636C2×Dic22—41no—
637C2×Dic22—44no—
638C2×Dic22C2411yescharacteristic
639C2×Dic22C2411yescharacteristic
640C11×SD16—22no—
641C11×SD16—41no—
642C11×D8—41no—
643C11×M16—41no—
644C2×C8×C11—41no—
645C2×C8×C11C2411yescharacteristic
646C2×C8×C11C2411yescharacteristic
647C2×C8×C11C2411yescharacteristic
648C2×C8×C11C2411yescharacteristic
649C11×C4⋊C4—21no—
650C11×C4⋊C4—21no—
651C11×C4⋊C4—21no—
652C11×C4⋊C4—21no—
653C11×C4⋊C4—21no—
654C11×C4⋊C4C2×D411yescharacteristic
655C11×C4⋊C4C2411yescharacteristic
656C11×C4⋊C4C2411yescharacteristic
657C11×C4⋊C4C2411yescharacteristic
658C11×C4⋊C4C2411yescharacteristic
659C11×C22⋊C4—21no—
660C11×C22⋊C4—21no—
661C11×C22⋊C4—21no—
662C11×C22⋊C4—21no—
663C11×C22⋊C4—21no—
664C11×C22⋊C4—21no—
665C11×C22⋊C4—21no—
666C11×C22⋊C4C2×D411yescharacteristic
667C11×C22⋊C4C2×D411yescharacteristic
668C42×C11—21no—
669C42×C11C2411yescharacteristic
670C22⋊Dic11—21no—
671C22⋊Dic11—21no—
672C22⋊Dic11—21no—
673C22⋊Dic11—21no—
674C22⋊Dic11—21no—
675C22⋊Dic11C2×D411yescharacteristic
676C22⋊Dic11C2×D411yescharacteristic
677#4325—22no—
678#4325—22no—
679#4325—22no—
680#4325—41no—
681#4325—41no—
682#4325—41no—
683#4324—22no—
684#4324—41no—
685#4323—41no—
686#4323—41no—
687#4323—41no—
688#4323—41no—
689(C2×D11)⋊C4—21no—
690(C2×D11)⋊C4—21no—
691(C2×D11)⋊C4—21no—
692(C2×D11)⋊C4—21no—
693(C2×D11)⋊C4—21no—
694(C2×D11)⋊C4—21no—
695(C2×D11)⋊C4—21no—
696(C2×D11)⋊C4—21no—
697(C2×D11)⋊C4—21no—
698(C2×D11)⋊C4—21no—
699(C2×D11)⋊C4—21no—
700(C2×D11)⋊C4—21no—
701(C2×D11)⋊C4—21no—
702(C2×D11)⋊C4—21no—
703(C2×D11)⋊C4—21no—
704(C2×D11)⋊C4—21no—
705(C2×D11)⋊C4—21no—
706(C2×D11)⋊C4—21no—
707(C2×D11)⋊C4—21no—
708(C2×D11)⋊C4—21no—
709(C2×D11)⋊C4C2×D411yescharacteristic
710(C2×D11)⋊C4C2×D411yescharacteristic
711(C2×D11)⋊C4C2×D411yescharacteristic
712(C2×D11)⋊C4C2×D411yescharacteristic
713C4⋊Dic11—21no—
714C4⋊Dic11—21no—
715C4⋊Dic11C2×D411yescharacteristic
716C4⋊Dic11C2411yescharacteristic
717C4⋊Dic11C2411yescharacteristic
718Dic11⋊C4—21no—
719Dic11⋊C4—21no—
720Dic11⋊C4—21no—
721Dic11⋊C4—21no—
722Dic11⋊C4—21no—
723Dic11⋊C4—21no—
724Dic11⋊C4—21no—
725Dic11⋊C4—21no—
726Dic11⋊C4C2×D411yescharacteristic
727Dic11⋊C4C2×D411yescharacteristic
728C4×Dic11—21no—
729C4×Dic11—21no—
730C4×Dic11—21no—
731C4×Dic11C2×D411yescharacteristic
732C4×Dic11C2×D411yescharacteristic
733C4×Dic11C2411yescharacteristic
734#4318—41no—
735C2×C11⋊C8—41no—
736C2×C11⋊C8C2411yescharacteristic
737C2×C11⋊C8C2411yescharacteristic
738C2×C11⋊C8C2411yescharacteristic
739C2×C11⋊C8C2411yescharacteristic
740D88—41no—
741D88—41no—
742D88—41no—
743#4314—22no—
744#4314—22no—
745#4314—22no—
746#4314—41no—
747#4314—41no—
748#4314—41no—
749#4313—41no—
750#4313—41no—
751C8×D11—41no—
752C8×D11—41no—
753#3496—111no—
754C2×#548—111no—
755#3308—111no—
756#3308—111no—
757#3308—111no—
758#3308—111no—
759#3308—111no—
760#3308—111no—
761#3308—111no—
762#3308D1111yescharacteristic, complemented
763#3265—111no—
764#3265—111no—
765#3265—111no—
766#3265—111no—
767#3265—111no—
768#3265—111no—
769#3265—111no—
770#3265—111no—
771#3213—111no—
772#3213—111no—
773#3193—111no—
774#3193—111no—
775#3186—111no—
776#3186—111no—
777#3112—111no—
778#3112—111no—
779#3006—111no—
780#3006—111no—
781C2×#448—111no—
782C2×#448—111no—
783#2973—111no—
784C23×C11—21no—
785C23×C11—21no—
786C23×C11C22×D411yescharacteristic
787C23×C11C22×D411yescharacteristic
788C22×D11—22no—
789C22×D11—21no—
790C22×D11—21no—
791C22×D11—21no—
792C22×D11—21no—
793C22×D11—41no—
794C22×D11—41no—
795C22×D11—41no—
796C22×D11—41no—
797C22×D11—42no—
798C22×D11—42no—
799C22×D11—42no—
800C22×D11—42no—
801C22×D11—42no—
802C22×D11—42no—
803C22×D11—42no—
804C22×D11—81no—
805C22×D11—81no—
806C22×D11—81no—
807C22×D11—81no—
808C22×D11—81no—
809C22×D11—81no—
810C22×D11—81no—
811C22×D11—81no—
812C22×D11AGL(1,ℤ/8)14yescomplemented
813C22×D11C22×D411yescharacteristic
814C22×D11C22×D411yescharacteristic
815C22×D11C22×D411yescharacteristic
816Q8×C11—21no—
817Q8×C11—21no—
818Q8×C11—21no—
819Q8×C11—42no—
820Q8×C11—42no—
821Q8×C11H(5,𝔽2)12yescomplemented
822D4×C11—22no—
823D4×C11—21no—
824D4×C11—21no—
825D4×C11—21no—
826D4×C11—21no—
827D4×C11—42no—
828D4×C11—42no—
829D4×C11—42no—
830D4×C11—42no—
831C2×C4×C11—21no—
832C2×C4×C11—21no—
833C2×C4×C11—21no—
834C2×C4×C11—21no—
835C2×C4×C11—21no—
836C2×C4×C11—21no—
837C2×C4×C11—21no—
838C2×C4×C11—21no—
839C2×C4×C11—21no—
840C2×C4×C11—21no—
841C2×C4×C11—42no—
842C2×C4×C11—42no—
843C2×C4×C11—42no—
844C2×C4×C11—42no—
845C2×C4×C11—42no—
846C2×C4×C11C22×D411yescharacteristic
847C2×C4×C11C22×D411yescharacteristic
848C2×C4×C11C22×D411yescharacteristic
849C2×C4×C11C22×D411yescharacteristic
850C2×C4×C11C2511yescharacteristic
851C22⋊D11—22no—
852C22⋊D11—22no—
853C22⋊D11—42no—
854C22⋊D11—42no—
855C22⋊D11—42no—
856C22⋊D11—42no—
857C22⋊D11—42no—
858C22⋊D11—42no—
859C22⋊D11—42no—
860C22⋊D11—42no—
861C22⋊D11—42no—
862C22⋊D11—81no—
863C22⋊D11—81no—
864C22⋊D11—81no—
865C2×Dic11—21no—
866C2×Dic11—21no—
867C2×Dic11—21no—
868C2×Dic11—21no—
869C2×Dic11—41no—
870C2×Dic11—41no—
871C2×Dic11—42no—
872C2×Dic11—42no—
873C2×Dic11C22×D411yescharacteristic
874C2×Dic11C22×D411yescharacteristic
875C2×Dic11C22×D411yescharacteristic
876C2×Dic11C22×D411yescharacteristic
877C2×Dic11C22×D411yescharacteristic
878D44—22no—
879D44—21no—
880D44—21no—
881D44—21no—
882D44—21no—
883D44—21no—
884D44—21no—
885D44—21no—
886D44—21no—
887D44—42no—
888D44—42no—
889D44—42no—
890D44—42no—
891D44—42no—
892D44—42no—
893D44—42no—
894D44—42no—
895D44—42no—
896D44—42no—
897D44—81no—
898D44—81no—
899D44—81no—
900C4×D11—24no—
901C4×D11—22no—
902C4×D11—21no—
903C4×D11—21no—
904C4×D11—21no—
905C4×D11—21no—
906C4×D11—21no—
907C4×D11—21no—
908C4×D11—41no—
909C4×D11—41no—
910C4×D11—41no—
911C4×D11—41no—
912C4×D11—41no—
913C4×D11—42no—
914C4×D11—42no—
915C4×D11—42no—
916C4×D11—42no—
917C4×D11—42no—
918C4×D11—42no—
919C4×D11—42no—
920C4×D11—42no—
921C4×D11—42no—
922C4×D11—42no—
923C4×D11—42no—
924Dic22—24no—
925Dic22—21no—
926Dic22—21no—
927Dic22—21no—
928Dic22—42no—
929Dic22—42no—
930Dic22—42no—
931Dic22—42no—
932Dic22—42no—
933Dic22H(5,𝔽2)12yescomplemented
934C8×C11—21no—
935C8×C11—21no—
936C8×C11—21no—
937C8×C11—21no—
938C11⋊C8—21no—
939C11⋊C8—21no—
940C11⋊C8—21no—
941C11⋊C8—21no—
942C2×H(5,𝔽2)—221no—
943C22×#41—111no—
944C23×Q8—111no—
945C2×AGL(1,ℤ/8)—111no—
946C2×AGL(1,ℤ/8)—111no—
947C2×AGL(1,ℤ/8)—111no—
948C2×AGL(1,ℤ/8)—111no—
949C22×SD16—111no—
950C22×SD16—111no—
951C22×SD16—111no—
952C22×SD16—111no—
953#548—111no—
954#548—111no—
955#548—111no—
956#548—111no—
957#548—111no—
958#548—111no—
959#548—111no—
960#548—221no—
961#548—221no—
962#548—221no—
963#548—221no—
964#548C2×D1111yescharacteristic, complemented
965#547—111no—
966#547—111no—
967#547—111no—
968#547C2×D1111yescharacteristic, complemented
969#546—221no—
970#546—221no—
971#546—221no—
972#546—221no—
973D42—111no—
974D42—111no—
975D42—111no—
976D42—111no—
977#537—221no—
978#534—221no—
979#534—221no—
980#532—111no—
981#532—111no—
982C2×#124—111no—
983C2×#124—221no—
984C2×C22⋊Q8—111no—
985C2×C22⋊Q8—221no—
986C2×#121—111no—
987C2×#121—111no—
988C2×#121—111no—
989C2×#121—111no—
990C2×#121—111no—
991C2×#121—221no—
992C2×C4×Q8—111no—
993C2×C4×D4—111no—
994C2×C4×D4—221no—
995#496—111no—
996#496—111no—
997#496—111no—
998#496—111no—
999#489—111no—
1000#489—111no—
1001#489—111no—
1002#489C2×D1111yescharacteristic, complemented
1003#484—111no—
1004#484—111no—
1005#484—111no—
1006#484C2×D1111yescharacteristic, complemented
1007#480—111no—
1008#480—111no—
1009#480—111no—
1010#480—111no—
1011#480—111no—
1012#480—111no—
1013#480—111no—
1014#480C2×D1111yescharacteristic, complemented
1015#477—111no—
1016#477—111no—
1017#477—111no—
1018#477C2×D1111yescharacteristic, complemented
1019#468—111no—
1020#468—111no—
1021#468—111no—
1022#468—111no—
1023#468—111no—
1024#468—111no—
1025#468—111no—
1026#468C2×D1111yescharacteristic, complemented
1027#466—111no—
1028#466—111no—
1029#466—111no—
1030#466—111no—
1031#466—111no—
1032#466—111no—
1033#466—111no—
1034#466C2×D1111yescharacteristic, complemented
1035#463—111no—
1036#463—111no—
1037#463—111no—
1038#463—111no—
1039#463—111no—
1040#463—111no—
1041#463—111no—
1042#463C2×D1111yescharacteristic, complemented
1043#460—111no—
1044#460—111no—
1045#460—111no—
1046#460—111no—
1047#450—111no—
1048#450—111no—
1049#450—111no—
1050#450—111no—
1051#449—111no—
1052#449—111no—
1053#449—111no—
1054#449—111no—
1055#449—111no—
1056#449—111no—
1057#449—111no—
1058#449C2×D1111yescharacteristic, complemented
1059#448—111no—
1060#448—111no—
1061#448—111no—
1062#448—111no—
1063#448—111no—
1064#448—111no—
1065#448—111no—
1066#448—111no—
1067#448—111no—
1068#448—111no—
1069#448—111no—
1070#448—111no—
1071#448—111no—
1072#448—111no—
1073#448—111no—
1074#448C2×D1111yescharacteristic, complemented
1075#447—111no—
1076#447—111no—
1077#447—111no—
1078#447—111no—
1079#447—111no—
1080#447—111no—
1081#447—111no—
1082#447—111no—
1083#440—111no—
1084#440—111no—
1085#440—111no—
1086#440—111no—
1087#440—111no—
1088#440—111no—
1089#440—111no—
1090#440C2×D1111yescharacteristic, complemented
1091#435—111no—
1092#435—111no—
1093#435—111no—
1094#435—111no—
1095#435—111no—
1096#435—111no—
1097#435—111no—
1098#435C2×D1111yescharacteristic, complemented
1099#432—111no—
1100#432—111no—
1101#417—111no—
1102#417—111no—
1103#417—111no—
1104#417C2×D1111yescharacteristic, complemented
1105C2×#103—111no—
1106C2×#103—111no—
1107C2×#103—111no—
1108C2×#103C2×D1111yescharacteristic, complemented
1109#407—111no—
1110#407—111no—
1111C2×C22⋊C8—111no—
1112C2×C22⋊C8—111no—
1113C22×C11—21no—
1114C22×C11—21no—
1115C22×C11—21no—
1116C22×C11—21no—
1117C22×C11—21no—
1118C22×C11—41no—
1119C22×C11—41no—
1120C22×C11—41no—
1121C22×C11—41no—
1122C22×C11—41no—
1123C22×C11—41no—
1124C22×C11C2×AGL(1,ℤ/8)12yes—
1125C22×C11C23×D411yescharacteristic
1126C2×D11—21no—
1127C2×D11—21no—
1128C2×D11—21no—
1129C2×D11—21no—
1130C2×D11—21no—
1131C2×D11—21no—
1132C2×D11—21no—
1133C2×D11—44no—
1134C2×D11—41no—
1135C2×D11—41no—
1136C2×D11—41no—
1137C2×D11—41no—
1138C2×D11—41no—
1139C2×D11—41no—
1140C2×D11—41no—
1141C2×D11—41no—
1142C2×D11—41no—
1143C2×D11—41no—
1144C2×D11—41no—
1145C2×D11—41no—
1146C2×D11—82no—
1147C2×D11—84no—
1148C2×D11—162no—
1149C2×D11—162no—
1150C2×D11—162no—
1151C2×D11—162no—
1152C2×D11C2×AGL(1,ℤ/8)12yes—
1153C2×D11C2×AGL(1,ℤ/8)12yes—
1154C4×C11—21no—
1155C4×C11—21no—
1156C4×C11—21no—
1157C4×C11—22no—
1158C4×C11—21no—
1159C4×C11—41no—
1160C4×C11—41no—
1161C4×C11—41no—
1162C4×C11—41no—
1163C4×C11—41no—
1164C4×C11C2×H(5,𝔽2)11yescharacteristic
1165C4×C11C2×H(5,𝔽2)11yescharacteristic
1166Dic11—21no—
1167Dic11—21no—
1168Dic11—22no—
1169Dic11—21no—
1170Dic11—21no—
1171Dic11—21no—
1172Dic11—41no—
1173Dic11—41no—
1174Dic11—41no—
1175H(5,𝔽2)—448no—
1176C2×#41—21no—
1177C2×#41—111no—
1178C2×#41—111no—
1179C2×#41—111no—
1180C2×#41—221no—
1181C2×#41—221no—
1182C2×#41—221no—
1183C2×#41—221no—
1184C2×#41—221no—
1185C2×#41—221no—
1186C2×#41—221no—
1187C2×#41—442no—
1188C2×#41—442no—
1189C2×#41C22×D1111yescharacteristic
1190C22×Q8—111no—
1191C22×Q8—111no—
1192C22×Q8—111no—
1193C22×Q8—111no—
1194C22×Q8—111no—
1195C22×Q8—221no—
1196C22×Q8—221no—
1197C22×Q8—221no—
1198C22×Q8—442no—
1199C22×Q8—442no—
1200C22×Q8C22×D1111yescharacteristic
1201C22×D4—111no—
1202C22×D4—111no—
1203C22×D4—111no—
1204C22×D4—111no—
1205C22×D4—111no—
1206C22×D4—111no—
1207C22×D4—221no—
1208C22×D4—221no—
1209C22×D4—221no—
1210C22×D4—221no—
1211C22×D4—221no—
1212C22×D4—221no—
1213C22×D4—221no—
1214C22×D4—221no—
1215C22×D4—221no—
1216C22×D4—221no—
1217C23×C4—111no—
1218C23×C4—111no—
1219C23×C4—221no—
1220C23×C4—221no—
1221AGL(1,ℤ/8)—442no—
1222AGL(1,ℤ/8)—442no—
1223AGL(1,ℤ/8)—442no—
1224AGL(1,ℤ/8)—442no—
1225C2×SD16—111no—
1226C2×SD16—111no—
1227C2×SD16—111no—
1228C2×SD16—111no—
1229C2×SD16—111no—
1230C2×SD16—111no—
1231C2×SD16—111no—
1232C2×SD16—111no—
1233C2×SD16—111no—
1234C2×SD16—111no—
1235C2×SD16—111no—
1236C2×SD16—111no—
1237C2×SD16—111no—
1238C2×SD16—111no—
1239C2×SD16—442no—
1240C2×SD16—442no—
1241C2×SD16—442no—
1242C2×SD16—442no—
1243C2×SD16C22×D1111yescharacteristic
1244C2×SD16C22×D1111yescharacteristic
1245C2×D8—111no—
1246C2×D8—111no—
1247C2×D8—111no—
1248C2×D8—111no—
1249C2×D8—111no—
1250C2×D8—111no—
1251C2×D8—111no—
1252C2×D8C22×D1111yescharacteristic
1253C2×M16—111no—
1254C2×M16—111no—
1255C2×M16—111no—
1256C2×M16C22×D1111yescharacteristic
1257C22×C8—111no—
1258C22×C8—111no—
1259C22×C8—111no—
1260C22×C8C22×D1111yescharacteristic
1261C4⋊Q8—111no—
1262C4⋊Q8C22×D1111yescharacteristic
1263#127—111no—
1264#127—111no—
1265#124—21no—
1266#124—111no—
1267#124—111no—
1268#124—111no—
1269#124—221no—
1270#124—221no—
1271#124—221no—
1272#124—221no—
1273#124—221no—
1274#124—221no—
1275#124—221no—
1276#124—221no—
1277#124—221no—
1278#124—221no—
1279#124—221no—
1280#124C22×D1111yescharacteristic
1281#123—21no—
1282#123—21no—
1283#123—221no—
1284#123—221no—
1285#123—221no—
1286#123—221no—
1287#123—221no—
1288#123—221no—
1289C22⋊Q8—21no—
1290C22⋊Q8—21no—
1291C22⋊Q8—111no—
1292C22⋊Q8—111no—
1293C22⋊Q8—111no—
1294C22⋊Q8—221no—
1295C22⋊Q8—221no—
1296C22⋊Q8—221no—
1297C22⋊Q8—221no—
1298C22⋊Q8—221no—
1299C22⋊Q8—221no—
1300C22⋊Q8—221no—
1301C22⋊Q8—221no—
1302C22⋊Q8—221no—
1303C22⋊Q8—221no—
1304C22⋊Q8—221no—
1305C22⋊Q8—221no—
1306C22⋊Q8C22×D1111yescharacteristic
1307#121—21no—
1308#121—111no—
1309#121—111no—
1310#121—111no—
1311#121—111no—
1312#121—111no—
1313#121—111no—
1314#121—111no—
1315#121—111no—
1316#121—111no—
1317#121—111no—
1318#121—111no—
1319#121—111no—
1320#121—111no—
1321#121—221no—
1322#121—221no—
1323#121—221no—
1324#121—221no—
1325#121—221no—
1326#121—221no—
1327#121—221no—
1328#121—221no—
1329#121—221no—
1330#121—221no—
1331#121—221no—
1332#121—221no—
1333#121—221no—
1334#121—221no—
1335#121—221no—
1336#121—221no—
1337#121—221no—
1338#121—221no—
1339#121—221no—
1340#121—221no—
1341#121—221no—
1342#121—221no—
1343#121—221no—
1344#121C22×D1111yescharacteristic
1345#121C22×D1111yescharacteristic
1346#121C22×D1111yescharacteristic
1347#120—221no—
1348#120—221no—
1349#120—221no—
1350#120—221no—
1351#120—221no—
1352#120—221no—
1353#120—221no—
1354#120—221no—
1355C4×Q8—111no—
1356C4×Q8—111no—
1357C4×Q8—111no—
1358C4×Q8—221no—
1359C4×Q8—221no—
1360C4×Q8C22×D1111yescharacteristic
1361C4×D4—21no—
1362C4×D4—111no—
1363C4×D4—111no—
1364C4×D4—111no—
1365C4×D4—111no—
1366C4×D4—111no—
1367C4×D4—111no—
1368C4×D4—111no—
1369C4×D4—111no—
1370C4×D4—111no—
1371C4×D4—111no—
1372C4×D4—221no—
1373C4×D4—221no—
1374C4×D4—221no—
1375C4×D4—221no—
1376C4×D4—221no—
1377C4×D4—221no—
1378C4×D4—221no—
1379C4×D4—221no—
1380C4×D4—221no—
1381C4×D4C22×D1111yescharacteristic
1382C4×D4C22×D1111yescharacteristic
1383C2×C4⋊C4—111no—
1384C2×C4⋊C4—111no—
1385C2×C4⋊C4—111no—
1386C2×C4⋊C4—111no—
1387C2×C4⋊C4—221no—
1388C2×C4⋊C4—221no—
1389C2×C4⋊C4C22×D1111yescharacteristic
1390C2×C4⋊C4C22×D1111yescharacteristic
1391C2×C22⋊C4—111no—
1392C2×C22⋊C4—111no—
1393C2×C22⋊C4—221no—
1394C2×C22⋊C4—221no—
1395C2×C22⋊C4—221no—
1396C2×C22⋊C4—221no—
1397C2×C22⋊C4—221no—
1398C2×C22⋊C4—221no—
1399C2×C22⋊C4—221no—
1400C2×C22⋊C4—221no—
1401C2×C42—111no—
1402C2×C42—221no—
1403#107—111no—
1404#107—111no—
1405#107—111no—
1406#107—111no—
1407#107—111no—
1408#107C22×D1111yescharacteristic
1409#107C22×D1111yescharacteristic
1410#107C22×D1111yescharacteristic
1411C4⋊C8—111no—
1412C4⋊C8—111no—
1413C4⋊C8—111no—
1414C4⋊C8C22×D1111yescharacteristic
1415#103—111no—
1416#103—111no—
1417#103—111no—
1418#103—111no—
1419#103—111no—
1420#103—111no—
1421#103—111no—
1422#103—111no—
1423#103—111no—
1424#103—111no—
1425#103C22×D1111yescharacteristic
1426#103C22×D1111yescharacteristic
1427#103C22×D1111yescharacteristic
1428#103C22×D1111yescharacteristic
1429#103C22×D1111yescharacteristic
1430#103C22×D1111yescharacteristic
1431#102—111no—
1432#102—111no—
1433#102—111no—
1434#102—111no—
1435#102—111no—
1436#102—111no—
1437#102—111no—
1438#102—111no—
1439#102—111no—
1440#102—111no—
1441#102—111no—
1442#102—111no—
1443#102C22×D1111yescharacteristic
1444#102C22×D1111yescharacteristic
1445#102C22×D1111yescharacteristic
1446#102C22×D1111yescharacteristic
1447C22⋊C8—111no—
1448C22⋊C8—111no—
1449C22⋊C8—111no—
1450C22⋊C8—111no—
1451C22⋊C8—111no—
1452C22⋊C8—111no—
1453C22⋊C8—111no—
1454C22⋊C8—111no—
1455C22⋊C8—111no—
1456C22⋊C8—111no—
1457C22⋊C8C22×D1111yescharacteristic
1458C22⋊C8C22×D1111yescharacteristic
1459#97—111no—
1460#97—111no—
1461#97—111no—
1462#97C22×D1111yescharacteristic
1463C2×C11—22no—
1464C2×C11—41no—
1465C2×C11—81no—
1466C2×C11—81no—
1467C2×C11#348411yescharacteristic
1468C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
1469C2×C11#358611yescharacteristic
1470D11—22no—
1471D11—22no—
1472D11—41no—
1473D11—81no—
1474D11—81no—
1475D11—81no—
1476D11—81no—
1477C24—111no—
1478C24—111no—
1479C24—221no—
1480C24—221no—
1481C24—221no—
1482C24—221no—
1483C24—221no—
1484#41—22no—
1485#41—41no—
1486#41—44no—
1487#41—222no—
1488#41—222no—
1489#41—222no—
1490#41—441no—
1491#41—444no—
1492#41—444no—
1493#41—444no—
1494#41—444no—
1495#41—441no—
1496#41—441no—
1497#41—444no—
1498#41—444no—
1499#41—444no—
1500C2×Q8—21no—
1501C2×Q8—21no—
1502C2×Q8—22no—
1503C2×Q8—41no—
1504C2×Q8—111no—
1505C2×Q8—111no—
1506C2×Q8—221no—
1507C2×Q8—221no—
1508C2×Q8—221no—
1509C2×Q8—221no—
1510C2×Q8—221no—
1511C2×Q8—222no—
1512C2×Q8—222no—
1513C2×Q8—222no—
1514C2×Q8—221no—
1515C2×Q8—222no—
1516C2×Q8—222no—
1517C2×Q8—441no—
1518C2×Q8—444no—
1519C2×Q8—441no—
1520C2×Q8—441no—
1521C2×Q8—441no—
1522C2×Q8—441no—
1523C2×Q8—444no—
1524C2×Q8—444no—
1525C2×Q8C23×D1111yescharacteristic
1526C2×Q8C23×D1111yescharacteristic
1527C2×D4—21no—
1528C2×D4—21no—
1529C2×D4—21no—
1530C2×D4—21no—
1531C2×D4—111no—
1532C2×D4—111no—
1533C2×D4—111no—
1534C2×D4—111no—
1535C2×D4—111no—
1536C2×D4—111no—
1537C2×D4—111no—
1538C2×D4—221no—
1539C2×D4—221no—
1540C2×D4—221no—
1541C2×D4—221no—
1542C2×D4—221no—
1543C2×D4—221no—
1544C2×D4—221no—
1545C2×D4—221no—
1546C2×D4—221no—
1547C2×D4—221no—
1548C2×D4—221no—
1549C2×D4—221no—
1550C2×D4—221no—
1551C2×D4—221no—
1552C2×D4—224no—
1553C2×D4—221no—
1554C2×D4—221no—
1555C2×D4—221no—
1556C2×D4—221no—
1557C2×D4—221no—
1558C2×D4—221no—
1559C2×D4—221no—
1560C2×D4—221no—
1561C2×D4—221no—
1562C2×D4—221no—
1563C2×D4—221no—
1564C2×D4—441no—
1565C2×D4—441no—
1566C2×D4—441no—
1567C2×D4—441no—
1568C2×D4—444no—
1569C2×D4—444no—
1570C2×D4—444no—
1571C2×D4—441no—
1572C2×D4—441no—
1573C2×D4—441no—
1574C2×D4—441no—
1575C2×D4—441no—
1576C2×D4—441no—
1577C2×D4—444no—
1578C2×D4—444no—
1579C2×D4—444no—
1580C2×D4—444no—
1581C2×D4—444no—
1582C2×D4—444no—
1583C2×D4—444no—
1584C2×D4D4×D1111yescharacteristic
1585C2×D4C23×D1111yescharacteristic
1586C2×D4C23×D1111yescharacteristic
1587C22×C4—21no—
1588C22×C4—21no—
1589C22×C4—21no—
1590C22×C4—21no—
1591C22×C4—21no—
1592C22×C4—111no—
1593C22×C4—111no—
1594C22×C4—111no—
1595C22×C4—111no—
1596C22×C4—111no—
1597C22×C4—111no—
1598C22×C4—111no—
1599C22×C4—111no—
1600C22×C4—111no—
1601C22×C4—111no—
1602C22×C4—111no—
1603C22×C4—221no—
1604C22×C4—221no—
1605C22×C4—221no—
1606C22×C4—221no—
1607C22×C4—221no—
1608C22×C4—221no—
1609C22×C4—221no—
1610C22×C4—221no—
1611C22×C4—221no—
1612C22×C4—221no—
1613C22×C4—221no—
1614C22×C4—221no—
1615C22×C4—221no—
1616C22×C4—221no—
1617C22×C4—441no—
1618C22×C4—441no—
1619C22×C4—441no—
1620C22×C4—441no—
1621C22×C4—444no—
1622C22×C4—444no—
1623C22×C4C23×D1111yescharacteristic
1624C22×C4C23×D1111yescharacteristic
1625SD16—22no—
1626SD16—41no—
1627SD16—222no—
1628SD16—222no—
1629SD16—222no—
1630SD16—222no—
1631SD16—222no—
1632SD16—222no—
1633SD16—222no—
1634SD16—441no—
1635SD16—441no—
1636SD16—441no—
1637SD16—441no—
1638SD16—441no—
1639SD16—441no—
1640SD16—441no—
1641D8—41no—
1642D8—441no—
1643D8—441no—
1644D8—441no—
1645D8—441no—
1646D8—441no—
1647D8—441no—
1648D8—441no—
1649M16—41no—
1650M16—441no—
1651M16—441no—
1652M16—441no—
1653C2×C8—41no—
1654C2×C8—111no—
1655C2×C8—111no—
1656C2×C8—111no—
1657C2×C8—111no—
1658C2×C8—441no—
1659C2×C8—441no—
1660C2×C8—441no—
1661C2×C8C23×D1111yescharacteristic
1662C2×C8C23×D1111yescharacteristic
1663C2×C8C23×D1111yescharacteristic
1664C2×C8C23×D1111yescharacteristic
1665C4⋊C4—21no—
1666C4⋊C4—21no—
1667C4⋊C4—21no—
1668C4⋊C4—21no—
1669C4⋊C4—21no—
1670C4⋊C4—111no—
1671C4⋊C4—111no—
1672C4⋊C4—111no—
1673C4⋊C4—111no—
1674C4⋊C4—111no—
1675C4⋊C4—221no—
1676C4⋊C4—221no—
1677C4⋊C4—221no—
1678C4⋊C4—221no—
1679C4⋊C4—221no—
1680C4⋊C4—221no—
1681C4⋊C4—221no—
1682C4⋊C4—221no—
1683C4⋊C4—221no—
1684C4⋊C4—221no—
1685C4⋊C4D4×D1111yescharacteristic
1686C4⋊C4C23×D1111yescharacteristic
1687C4⋊C4C23×D1111yescharacteristic
1688C4⋊C4C23×D1111yescharacteristic
1689C4⋊C4C23×D1111yescharacteristic
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—21no—
1695C22⋊C4—21no—
1696C22⋊C4—21no—
1697C22⋊C4—111no—
1698C22⋊C4—111no—
1699C22⋊C4—111no—
1700C22⋊C4—111no—
1701C22⋊C4—111no—
1702C22⋊C4—111no—
1703C22⋊C4—221no—
1704C22⋊C4—221no—
1705C22⋊C4—221no—
1706C22⋊C4—221no—
1707C22⋊C4—221no—
1708C22⋊C4—221no—
1709C22⋊C4—221no—
1710C22⋊C4—221no—
1711C22⋊C4—221no—
1712C22⋊C4—221no—
1713C22⋊C4—221no—
1714C22⋊C4—221no—
1715C22⋊C4—221no—
1716C22⋊C4—221no—
1717C22⋊C4—221no—
1718C22⋊C4—221no—
1719C22⋊C4—221no—
1720C22⋊C4—221no—
1721C22⋊C4—221no—
1722C22⋊C4—221no—
1723C22⋊C4—221no—
1724C22⋊C4—221no—
1725C22⋊C4—221no—
1726C22⋊C4—221no—
1727C22⋊C4—221no—
1728C22⋊C4D4×D1111yescharacteristic
1729C22⋊C4D4×D1111yescharacteristic
1730C42—21no—
1731C42—111no—
1732C42—111no—
1733C42—111no—
1734C42—221no—
1735C42—221no—
1736C42—221no—
1737C42C23×D1111yescharacteristic
1738C11#6157211yescharacteristic, complemented, Sylow
1739C23—21no—
1740C23—21no—
1741C23—111no—
1742C23—111no—
1743C23—114no—
1744C23—111no—
1745C23—222no—
1746C23—221no—
1747C23—221no—
1748C23—221no—
1749C23—221no—
1750C23—441no—
1751C23—441no—
1752C23—441no—
1753C23—441no—
1754C23—442no—
1755C23—442no—
1756C23—442no—
1757C23—442no—
1758C23—442no—
1759C23—442no—
1760C23—442no—
1761C23—881no—
1762C23—881no—
1763C23—881no—
1764C23—881no—
1765C23—881no—
1766C23—881no—
1767C23—881no—
1768C23—881no—
1769C23C2×D4×D1111yescharacteristic
1770C23C2×D4×D1111yescharacteristic
1771Q8—21no—
1772Q8—21no—
1773Q8—21no—
1774Q8—42no—
1775Q8—42no—
1776Q8—112no—
1777Q8—224no—
1778Q8—221no—
1779Q8—221no—
1780Q8—221no—
1781Q8—442no—
1782Q8—442no—
1783Q8—442no—
1784Q8—442no—
1785Q8—442no—
1786Q8#6704212yescomplemented
1787D4—22no—
1788D4—21no—
1789D4—21no—
1790D4—21no—
1791D4—21no—
1792D4—42no—
1793D4—42no—
1794D4—42no—
1795D4—42no—
1796D4—222no—
1797D4—222no—
1798D4—222no—
1799D4—221no—
1800D4—221no—
1801D4—221no—
1802D4—221no—
1803D4—221no—
1804D4—221no—
1805D4—221no—
1806D4—221no—
1807D4—442no—
1808D4—442no—
1809D4—442no—
1810D4—442no—
1811D4—442no—
1812D4—442no—
1813D4—442no—
1814D4—442no—
1815D4—442no—
1816D4—442no—
1817D4—442no—
1818D4—442no—
1819D4—442no—
1820D4—442no—
1821D4—442no—
1822D4—442no—
1823D4—442no—
1824D4—442no—
1825D4—442no—
1826D4—881no—
1827D4—881no—
1828D4—881no—
1829D4—881no—
1830D4—881no—
1831D4—881no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—21no—
1842C2×C4—42no—
1843C2×C4—42no—
1844C2×C4—42no—
1845C2×C4—42no—
1846C2×C4—42no—
1847C2×C4—111no—
1848C2×C4—111no—
1849C2×C4—111no—
1850C2×C4—111no—
1851C2×C4—111no—
1852C2×C4—222no—
1853C2×C4—224no—
1854C2×C4—221no—
1855C2×C4—221no—
1856C2×C4—221no—
1857C2×C4—221no—
1858C2×C4—221no—
1859C2×C4—221no—
1860C2×C4—221no—
1861C2×C4—221no—
1862C2×C4—221no—
1863C2×C4—221no—
1864C2×C4—441no—
1865C2×C4—441no—
1866C2×C4—441no—
1867C2×C4—441no—
1868C2×C4—441no—
1869C2×C4—442no—
1870C2×C4—442no—
1871C2×C4—442no—
1872C2×C4—442no—
1873C2×C4—442no—
1874C2×C4—442no—
1875C2×C4—442no—
1876C2×C4—442no—
1877C2×C4—442no—
1878C2×C4—442no—
1879C2×C4—442no—
1880C2×C4—441no—
1881C2×C4—441no—
1882C2×C4—442no—
1883C2×C4—442no—
1884C2×C4C2×D4×D1111yescharacteristic
1885C2×C4C2×D4×D1111yescharacteristic
1886C2×C4C2×D4×D1111yescharacteristic
1887C2×C4C2×D4×D1111yescharacteristic
1888C2×C4C24×D1111yescharacteristic
1889C8—21no—
1890C8—21no—
1891C8—21no—
1892C8—21no—
1893C8—221no—
1894C8—221no—
1895C8—221no—
1896C8—221no—
1897C22—21no—
1898C22—21no—
1899C22—21no—
1900C22—21no—
1901C22—21no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—41no—
1908C22—112no—
1909C22—112no—
1910C22—221no—
1911C22—221no—
1912C22—221no—
1913C22—221no—
1914C22—221no—
1915C22—221no—
1916C22—221no—
1917C22—444no—
1918C22—441no—
1919C22—441no—
1920C22—441no—
1921C22—441no—
1922C22—441no—
1923C22—441no—
1924C22—441no—
1925C22—441no—
1926C22—441no—
1927C22—441no—
1928C22—441no—
1929C22—441no—
1930C22—882no—
1931C22—884no—
1932C22—1762no—
1933C22—1762no—
1934C22—1762no—
1935C22—1762no—
1936C22D11×AGL(1,ℤ/8)12yes—
1937C22C22×D4×D1111yescharacteristic
1938C4—21no—
1939C4—21no—
1940C4—21no—
1941C4—22no—
1942C4—21no—
1943C4—41no—
1944C4—41no—
1945C4—41no—
1946C4—41no—
1947C4—41no—
1948C4—221no—
1949C4—221no—
1950C4—221no—
1951C4—221no—
1952C4—222no—
1953C4—221no—
1954C4—441no—
1955C4—441no—
1956C4—441no—
1957C4C2×#6704211yescharacteristic
1958C4D11×H(5,𝔽2)11yescharacteristic
1959C2—22no—
1960C2—41no—
1961C2—81no—
1962C2—81no—
1963C2—222no—
1964C2—222no—
1965C2—441no—
1966C2—881no—
1967C2—881no—
1968C2—881no—
1969C2—881no—
1970C2#1308224611yescharacteristic
1971C2C2×D11×AGL(1,ℤ/8)11yescharacteristic
1972C2#1308340111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3308C2
socleC22×C11C23×D4
hypercenter#3308D11
hypocenterC11#61572
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3308

Complements

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

NH ≅ G/Ntype
1. #13082374C2semidirect
2. D11×#548C2semidirect
3. #13080610C2semidirect
4. #13080608C2semidirect
5. #13080606C2semidirect
6. #13080605C2semidirect
7. #13080604C2semidirect
8. #13080603C2semidirect
9. #13080601C2semidirect
10. #13080118C2semidirect
11. #13080117C2semidirect
12. #13080116C2semidirect
13. #13080114C2semidirect
14. #13080113C2semidirect
15. #13080112C2semidirect
16. #13080108C2semidirect
17. #13080104C2semidirect
18. #13079604C2semidirect
19. #13079601C2semidirect
20. #13079421C2semidirect
21. #13079417C2semidirect
22. #13079366C2semidirect
23. #13079363C2semidirect
24. #13078740C2semidirect
25. #13078736C2semidirect
26. #13077869C2semidirect
27. #13077865C2semidirect
28. C2×#10622419C2semidirect
29. D11×#448C2semidirect
30. #13077641C2semidirect
31. C11×#3308C2semidirect
33. C2×#41×D11C22semidirect
34. C22×Q8×D11C22semidirect
35. C11×#548C22semidirect
36. C11×#547C22semidirect
37. #10623362C22semidirect
39. C2×#67002C22semidirect
40. #10623348C22semidirect
41. C22×#4325C22semidirect
42. C2×#66967C22semidirect
43. C2×SD16×D11C22semidirect
44. C2×SD16×D11C22semidirect
45. C2×#66964C22semidirect
46. C2×#66961C22semidirect
47. C22×#4314C22semidirect
48. #10623257C22semidirect
51. #10623208C22semidirect
53. D11×#124C22semidirect
59. #10623164C22semidirect
63. D11×C22⋊Q8C22semidirect
64. #10623140C22semidirect
65. #10623140C22semidirect
69. D11×#121C22semidirect
71. #10623129C22semidirect
72. #10623107C22semidirect
73. C4×Q8×D11C22semidirect
75. #10623083C22semidirect
76. D4×D44C22semidirect
77. D4×D44C22semidirect
81. #10623038C22semidirect
82. #10623038C22semidirect
85. C11×#489C22semidirect
86. C11×#484C22semidirect
87. C11×#480C22semidirect
88. C11×#477C22semidirect
89. C11×#468C22semidirect
90. C11×#466C22semidirect
91. C11×#463C22semidirect
92. C11×#449C22semidirect
93. C11×#448C22semidirect
94. C11×#440C22semidirect
95. C11×#435C22semidirect
96. C11×#417C22semidirect
97. C2×C11×#103C22semidirect
98. #10622851C22semidirect
99. #10622840C22semidirect
100. #10622789C22semidirect
101. #10622783C22semidirect
102. #10622783C22semidirect
103. #10622782C22semidirect
104. #10622776C22semidirect
105. #10622769C22semidirect
106. #10622769C22semidirect
107. #10622767C22semidirect
108. #10622747C22semidirect
109. #10622740C22semidirect
110. #10622739C22semidirect
111. #10622728C22semidirect
112. #10622724C22semidirect
113. C2×(C2×D11)⋊C8C22semidirect
114. #10622704C22semidirect
115. #10622702C22semidirect
116. #10622671C22semidirect
117. #10622670C22semidirect
118. #10622662C22semidirect
119. #10622659C22semidirect
120. #10622655C22semidirect
121. #10622653C22semidirect
122. #10622651C22semidirect
123. #10622651C22semidirect
124. #10622650C22semidirect
125. #10622649C22semidirect
126. #10622640C22semidirect
127. #10622639C22semidirect
128. #10622631C22semidirect
129. #10622629C22semidirect
130. #10622624C22semidirect
131. #10622583C22semidirect
132. C2×#66874C22semidirect
133. #10622580C22semidirect
134. #10622579C22semidirect
135. #10622502C22semidirect
136. #10622502C22semidirect
137. #10622499C22semidirect
138. #10622499C22semidirect
139. #10622497C22semidirect
140. #10622496C22semidirect
141. #10622496C22semidirect
142. #10622495C22semidirect
143. #10622495C22semidirect
144. #10622495C22semidirect
145. #10622495C22semidirect
146. #10622488C22semidirect
147. #10622461C22semidirect
148. #10622457C22semidirect
149. #10622449C22semidirect
150. #10622448C22semidirect
151. #10622432C22semidirect
152. #10622432C22semidirect
153. #10622430C22semidirect
154. #10622430C22semidirect
155. #10622425C22semidirect
156. #10622425C22semidirect
157. #10622424C22semidirect
158. #10622424C22semidirect
159. #10622422C22semidirect
160. #10622419C22semidirect
161. #10622419C22semidirect
162. #10622419C22semidirect
163. #10622419C22semidirect
164. #10622419C22semidirect
165. #10622419C22semidirect
166. #10622419C22semidirect
167. #10622419C22semidirect
168. #10622419C22semidirect
169. #10622419C22semidirect
170. #10622416C22semidirect
171. D11×#103C22semidirect
172. D11×#103C22semidirect
173. #10622408C22semidirect
174. #10622407C22semidirect
175. #10622400C22semidirect
176. #10622400C22semidirect
177. #10622394C22semidirect
178. #10622394C22semidirect
179. #10622389C22semidirect
180. #10622388C22semidirect
181. #10622388C22semidirect
182. #10622387C22semidirect
183. #10622387C22semidirect
184. #10622386C22semidirect
185. #10622386C22semidirect
186. #10622386C22semidirect
187. #10622386C22semidirect
188. #10622384C22semidirect
189. #10622378C22semidirect
190. #10622375C22semidirect
191. #10622351C22semidirect
192. #10622347C22semidirect
193. #10622345C22semidirect
194. #10622344C22semidirect
195. #10622343C22semidirect
196. #10622341C22semidirect
197. #10622339C22semidirect
198. D11×C22⋊C8C22semidirect
199. #10622325C22semidirect
200. #10622323C22semidirect
201. #10622319C22semidirect
202. #10622318C22semidirect
762. #3308D11semidirect
812. C22×D11AGL(1,ℤ/8)semidirect
821. Q8×C11H(5,𝔽2)semidirect
933. Dic22H(5,𝔽2)semidirect
964. #548C2×D11semidirect
968. #547C2×D11semidirect
1002. #489C2×D11semidirect
1006. #484C2×D11semidirect
1014. #480C2×D11semidirect
1018. #477C2×D11semidirect
1026. #468C2×D11semidirect
1034. #466C2×D11semidirect
1042. #463C2×D11semidirect
1058. #449C2×D11semidirect
1074. #448C2×D11semidirect
1090. #440C2×D11semidirect
1098. #435C2×D11semidirect
1104. #417C2×D11semidirect
1108. C2×#103C2×D11semidirect
1738. C11#61572semidirect
1786. Q8#67042semidirect

Maximal subgroups

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

subgroupindex
#130823742
D11×#5482
#130806102
#130806082
#130806062
#130806052
#130806042
#130806032
#130806012
#130801182
#130801172
#130801162
#130801142
#130801132
#130801122
#130801082
#130801042
#130796042
#130796012
#130794212
#130794172
#130793662
#130793632
#130787402
#130787362
#130778692
#130778652
C2×#106224192
D11×#4482
#130776412
C11×#33082
#6157211