Finite Group Databasebeta

← #15636643

Subgroups — #15636643

Order 2816.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082618C211yesmaximal, characteristic, complemented
2#13082575C211yesmaximal, characteristic, complemented
3#13081655C211yesmaximal, characteristic, complemented
4#13081534C211yesmaximal, characteristic, complemented
5#13081309C211yesmaximal, characteristic, complemented
6#13081248C211yesmaximal, characteristic, complemented
7#13081195C211yesmaximal, characteristic, complemented
8#13081115C211yesmaximal, characteristic, complemented
9#13081111C211yesmaximal, characteristic, complemented
10#13080565C211yesmaximal, characteristic, complemented
11#13080561C211yesmaximal, characteristic, complemented
12#13080550C211yesmaximal, characteristic, complemented
13#13080472C211yesmaximal, characteristic, complemented
14#13080465C211yesmaximal, characteristic, complemented
15#13080424C211yesmaximal, characteristic, complemented
16#13080233C211yesmaximal, characteristic, complemented
17#13080163C211yesmaximal, characteristic, complemented
18#13080155C211yesmaximal, characteristic, complemented
19#13079295C211yesmaximal, characteristic, complemented
20#13079192C211yesmaximal, characteristic, complemented
21#13078882C211yesmaximal, characteristic, complemented
22#13078872C211yesmaximal, characteristic, complemented
23#13078858C211yesmaximal, characteristic, complemented
24#13078854C211yesmaximal, characteristic, complemented
25#13078765C211yesmaximal, characteristic, complemented
26#13078763C211yesmaximal, characteristic, complemented
27#13077587C211yesmaximal, characteristic, complemented
28#13077450C211yesmaximal, characteristic, complemented
29#13077441C211yesmaximal, characteristic, complemented
30C4×#66969C211yesmaximal, characteristic, complemented
31C11×#3179C211yesmaximal, characteristic, complemented
32C11×#542C2211yescharacteristic
33C11×#540C2211yescharacteristic, complemented
34C2×#66969C2211yescharacteristic
35C2×#66964C2211yescharacteristic
36C2×#66961C2211yescharacteristic
37#10623265C2211yescharacteristic
38#10623258C2211yescharacteristic
39#10623249C2211yescharacteristic, complemented
40#10623249C2211yescharacteristic, complemented
41#10623237—21no—
42#10623235—21no—
43#10623226C2211yescharacteristic, complemented
44#10623216C2211yescharacteristic, complemented
45#10623212C2211yescharacteristic
46#10623209—21no—
47#10623207C2211yescharacteristic
48D11×#124—21no—
49#10623194—21no—
50#10623192—21no—
51#10623190—21no—
52#10623186—21no—
53#10623185—21no—
54#10623180—21no—
55#10623172C2211yescharacteristic
56#10623168—21no—
57#10623164—21no—
58#10623161C2211yescharacteristic
59#10623149C2211yescharacteristic, complemented
60#10623147C2211yescharacteristic
61#10623146—21no—
62#10623142C2211yescharacteristic
63#10623140C2211yescharacteristic
64#10623132—21no—
65#10623130—21no—
66#10623130C2211yescharacteristic
67#10623130C2211yescharacteristic, complemented
68#10623127—21no—
69#10623113C2211yescharacteristic
70C4×#4343C2211yescharacteristic
71#10623093C2211yescharacteristic, complemented
72#10623079C2211yescharacteristic
73#10623079C2211yescharacteristic, complemented
74#10623077C2211yescharacteristic, complemented
75#10623076C2211yescharacteristic
76C4×#4341C2211yescharacteristic, complemented
77#10623059C2211yescharacteristic
78#10623054C2211yescharacteristic, complemented
79#10623052C2211yescharacteristic
80C11×#501C2211yescharacteristic, complemented
81C11×#496C2211yescharacteristic, complemented
82C11×#488C2211yescharacteristic, complemented
83C11×#486C2211yescharacteristic, complemented
84C11×#469C2211yescharacteristic
85C11×#468C2211yescharacteristic, complemented
86C11×#466C2211yescharacteristic
87C11×#465C2211yescharacteristic, complemented
88C11×#442C2211yescharacteristic, complemented
89C11×#440C2211yescharacteristic, complemented
90C4×C11×SD16C2211yescharacteristic, complemented
91C4×C11×D8C2211yescharacteristic, complemented
92C11×#405C2211yescharacteristic, complemented
93#10622789C2211yescharacteristic, complemented
94#10622787C2211yescharacteristic, complemented
95#10622786C2211yescharacteristic, complemented
96#10622785C2211yescharacteristic
97#10622778C2211yescharacteristic, complemented
98#10622776C2211yescharacteristic, complemented
99SD16×Dic11C2211yescharacteristic, complemented
100#10622771C2211yescharacteristic, complemented
101#10622770C2211yescharacteristic, complemented
102#10622769C2211yescharacteristic
103#10622765C2211yescharacteristic, complemented
104#10622764C2211yescharacteristic
105#10622763C2211yescharacteristic
106#10622763C2211yescharacteristic, complemented
107#10622741C2211yescharacteristic
108#10622740C2211yescharacteristic, complemented
109#10622734C2211yescharacteristic, complemented
110#10622726C2211yescharacteristic, complemented
111C2×#66885C2211yescharacteristic
112C8×C22⋊D11C2211yescharacteristic
113C8×C22⋊D11C2211yescharacteristic, complemented
114#10622704C2211yescharacteristic, complemented
115#10622700C2211yescharacteristic, complemented
116#10622685C2211yescharacteristic
117#10622685C2211yescharacteristic, complemented
118#10622679C2211yescharacteristic
119#10622679C2211yescharacteristic, complemented
120#10622670C2211yescharacteristic, complemented
121#10622667C2211yescharacteristic, complemented
122#10622660C2211yescharacteristic, complemented
123#10622657C2211yescharacteristic, complemented
124#10622650C2211yescharacteristic
125#10622649C2211yescharacteristic
126#10622649C2211yescharacteristic
127#10622648C2211yescharacteristic, complemented
128#10622648C2211yescharacteristic, complemented
129#10622646C2211yescharacteristic
130C4×#4326C2211yescharacteristic, complemented
131#10622639C2211yescharacteristic, complemented
132#10622631C2211yescharacteristic, complemented
133#10622627C2211yescharacteristic
134#10622627C2211yescharacteristic, complemented
135C4×#4323C2211yescharacteristic
136C4×#4323C2211yescharacteristic, complemented
137C4×#4323C2211yescharacteristic, complemented
138#10622613C2211yescharacteristic, complemented
139#10622503C2211yescharacteristic
140#10622502C2211yescharacteristic
141#10622498C2211yescharacteristic, complemented
142#10622496C2211yescharacteristic, complemented
143#10622495C2211yescharacteristic
144#10622494C2211yescharacteristic, complemented
145#10622488C2211yescharacteristic, complemented
146#10622487C2211yescharacteristic, complemented
147#10622484C2211yescharacteristic
148#10622479C2211yescharacteristic, complemented
149#10622479C2211yescharacteristic, complemented
150#10622478C2211yescharacteristic
151#10622473C2211yescharacteristic, complemented
152#10622469C2211yescharacteristic, complemented
153#10622467C2211yescharacteristic, complemented
154#10622465C2211yescharacteristic
155#10622424C2211yescharacteristic
156#10622422C2211yescharacteristic, complemented
157#10622420C2211yescharacteristic, complemented
158#10622417C2211yescharacteristic
159#10622413C2211yescharacteristic, complemented
160#10622411C2211yescharacteristic, complemented
161#10622404C2211yescharacteristic, complemented
162#10622403C2211yescharacteristic, complemented
163#10622399C2211yescharacteristic
164#10622399C2211yescharacteristic
165#10622397C2211yescharacteristic, complemented
166#10622394C2211yescharacteristic
167#10622394C2211yescharacteristic, complemented
168#10622392C2211yescharacteristic, complemented
169#10622392C2211yescharacteristic, complemented
170#10622388C2211yescharacteristic
171#10622388C2211yescharacteristic, complemented
172#10622388C2211yescharacteristic, complemented
173#10622386C2211yescharacteristic
174#10622385C2211yescharacteristic, complemented
175#10622385C2211yescharacteristic, complemented
176D11×#102C2211yescharacteristic
177#10622376C2211yescharacteristic, complemented
178#10622375C2211yescharacteristic
179#10622373C2211yescharacteristic
180#10622373C2211yescharacteristic, complemented
181#10622373C2211yescharacteristic, complemented
182#10622372C2211yescharacteristic, complemented
183#10622372C2211yescharacteristic, complemented
184#10622371C2211yescharacteristic, complemented
185#10622369C2211yescharacteristic
186#10622369C2211yescharacteristic
187#10622324C2211yescharacteristic
188#10622324C2211yescharacteristic, complemented
189#10622323C2211yescharacteristic
190#10622323C2211yescharacteristic, complemented
191#10622322C2211yescharacteristic, complemented
192#10622319C2211yescharacteristic, complemented
193#10622318C2211yescharacteristic, complemented
194#10622314C2211yescharacteristic, complemented
195C4×D88C2211yescharacteristic
196C4×D88C2211yescharacteristic, complemented
197C4×#4314C2211yescharacteristic
198C4×#4314C2211yescharacteristic, complemented
199#10622302C2211yescharacteristic, complemented
200C8×D44C2211yescharacteristic, complemented
201C4×C8×D11C2211yescharacteristic, complemented
202C8×Dic22C2211yescharacteristic, complemented
203C2×#4343C2311yescharacteristic
204C2×Q8×D11—21no—
205C2×#4341—21no—
206C2×#4341—21no—
207C2×#4341C2311yescharacteristic
208C2×#4341C2311yescharacteristic
209C2×D4×D11—21no—
210C2×D4×D11C2311yescharacteristic
211C2×#4339—21no—
212C2×#4339—21no—
213C2×#4339C2311yescharacteristic
214C22×D44C2311yescharacteristic
215C2×C11×SD16C2311yescharacteristic
216C2×C11×SD16C2311yescharacteristic
217C2×C11×D8C2311yescharacteristic
218C2×C11×D8C2311yescharacteristic
219C2×C11×M16C2311yescharacteristic
220C22×C8×C11C2311yescharacteristic
221C11×C4⋊Q8C2311yescharacteristic
222C11×#127C2311yescharacteristic
223C11×#126—21no—
224C11×#125C2311yescharacteristic
225C11×#124—21no—
226C11×#124C2311yescharacteristic
227C11×#123—21no—
228C11×#123—21no—
229C11×#123—21no—
230C11×C22⋊Q8—21no—
231C11×C22⋊Q8C2311yescharacteristic
232C11×#121—21no—
233C11×#121—21no—
234C11×#121C2311yescharacteristic
235C11×#121C2311yescharacteristic
236C11×#121C2311yescharacteristic
237C4×Q8×C11C2311yescharacteristic
238C4×D4×C11C2311yescharacteristic
239C4×D4×C11C2311yescharacteristic
240C4×D4×C11C2311yescharacteristic
241C11×#117C2311yescharacteristic
242#67000—21no—
243#67000—21no—
244#67000C2311yescharacteristic
245#66999—21no—
246#66999C2311yescharacteristic
247Q8×Dic11C2311yescharacteristic
248C2×#4326C2311yescharacteristic
249C2×#4325C2311yescharacteristic
250#66993—21no—
251#66993—21no—
252#66993—21no—
253#66993C2311yescharacteristic
254#66993C2311yescharacteristic
255#66993C2311yescharacteristic
256#66992—21no—
257#66992—21no—
258#66992—21no—
259#66992—21no—
260#66992—21no—
261#66992—21no—
262#66992—21no—
263#66992—21no—
264#66991—21no—
265#66991C2311yescharacteristic
266#66991C2311yescharacteristic
267#66991C2311yescharacteristic
268#66990—21no—
269#66989—21no—
270#66988—21no—
271D4×Dic11—21no—
272D4×Dic11—21no—
273D4×Dic11C2311yescharacteristic
274D4×Dic11C2311yescharacteristic
275D4×Dic11C2311yescharacteristic
276C2×#4324C2311yescharacteristic
277C2×#4323C2311yescharacteristic
278C2×#4323C2311yescharacteristic
279C2×#4323C2311yescharacteristic
280C2×#4323C2311yescharacteristic
281C2×#4323C2311yescharacteristic
282#66983—21no—
283#66982—21no—
284C4×C22⋊D11—21no—
285C4×C22⋊D11—21no—
286C4×C22⋊D11—21no—
287C4×C22⋊D11—21no—
288C4×C22⋊D11—21no—
289C4×C22⋊D11C2311yescharacteristic
290C4×C22⋊D11C2311yescharacteristic
291C2×(C2×D11)⋊C4—21no—
292#66979C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×Dic11⋊C4—21no—
295C2×C4×Dic11—21no—
296#66969—24no—
297#66964—24no—
298#66961—24no—
299C2×D88C2311yescharacteristic
300C2×D88C2311yescharacteristic
301C2×#4314C2311yescharacteristic
302C2×#4314C2311yescharacteristic
303C2×#4313C2311yescharacteristic
304C2×C8×D11C2311yescharacteristic
305C2×C8×D11C2311yescharacteristic
306C2×C8×D11C2311yescharacteristic
307#66951—21no—
308#66951—21no—
309#66951D411yescharacteristic
310#66949—21no—
311#66949—21no—
312#66949—21no—
313#66949D411yescharacteristic
314#66948—21no—
315#66948—21no—
316#66948—21no—
317#66948C2311yescharacteristic
318#66948C2311yescharacteristic
319#66948C2311yescharacteristic
320#66948C2311yescharacteristic
321#66947—21no—
322#66947—21no—
323#66947—21no—
324#66947D411yescharacteristic
325#66946—21no—
326#66946—21no—
327#66946—21no—
328#66946—21no—
329#66946C2311yescharacteristic
330#66946C2311yescharacteristic
331#66945—21no—
332#66945—21no—
333#66945—21no—
334#66945C2311yescharacteristic
335#66945C2311yescharacteristic
336#66945C2311yescharacteristic
337C4⋊C4×D11—21no—
338C4⋊C4×D11C2311yescharacteristic
339#66943C2311yescharacteristic
340#66942—21no—
341#66942—21no—
342#66942D411yescharacteristic
343#66941—21no—
344#66941C2311yescharacteristic
345#66941C2311yescharacteristic
346#66941C2311yescharacteristic
347#66940—21no—
348#66940—21no—
349#66940C2311yescharacteristic
350#66940C2311yescharacteristic
351#66939—21no—
352#66939—21no—
353#66938—21no—
354#66938—21no—
355#66938—21no—
356#66938—21no—
357#66938—21no—
358#66938D411yescharacteristic
359#66937—21no—
360#66937—21no—
361#66937—21no—
362#66937—21no—
363#66937—21no—
364#66937—21no—
365#66937—21no—
366#66937D411yescharacteristic
367#66936—21no—
368#66936—21no—
369#66936—21no—
370#66936—21no—
371#66936D411yescharacteristic
372#66935—21no—
373#66935—21no—
374#66935—21no—
375(C22⋊D11)⋊C4—21no—
376(C22⋊D11)⋊C4—21no—
377(C22⋊D11)⋊C4—21no—
378(C22⋊D11)⋊C4—21no—
379(C22⋊D11)⋊C4—21no—
380(C22⋊D11)⋊C4—21no—
381(C22⋊D11)⋊C4—21no—
382(C22⋊D11)⋊C4—21no—
383C22⋊C4×D11—21no—
384C22⋊C4×D11—21no—
385C22⋊C4×D11—21no—
386C22⋊C4×D11—21no—
387C22⋊C4×D11—21no—
388#66932—21no—
389#66932—21no—
390#66932D411yescharacteristic
391#66931—21no—
392#66930—21no—
393#66930—21no—
394#66930—21no—
395#66929—21no—
396#66928—21no—
397C4×D44—21no—
398C4×D44C2311yescharacteristic
399C4×D44C2311yescharacteristic
400C4×D44C2311yescharacteristic
401C4×D44C2311yescharacteristic
402C4×D44C2311yescharacteristic
403C4×D44C2311yescharacteristic
404C4×D44C2311yescharacteristic
405#66925C2311yescharacteristic
406C42×D11—21no—
407C42×D11C2311yescharacteristic
408C4×Dic22C2311yescharacteristic
409C4×Dic22C2311yescharacteristic
410C4×Dic22C2311yescharacteristic
411C11×#107C2311yescharacteristic
412C11×#107C2311yescharacteristic
413C11×#106C2311yescharacteristic
414C11×#106C2311yescharacteristic
415C11×#103C2311yescharacteristic
416C11×#103C2311yescharacteristic
417C11×#102C2311yescharacteristic
418C11×#102C2311yescharacteristic
419C11×#102C2311yescharacteristic
420C11×#102C2311yescharacteristic
421C11×#102C2311yescharacteristic
422C11×#102C2311yescharacteristic
423C11×#97C2311yescharacteristic
424C11×#97C2311yescharacteristic
425C4×C8×C11C2311yescharacteristic
426C4×C8×C11C2311yescharacteristic
427#66899C2311yescharacteristic
428#66899C2311yescharacteristic
429#66896C2311yescharacteristic
430#66896C2311yescharacteristic
431#66896C2311yescharacteristic
432#66896C2311yescharacteristic
433#66896C2311yescharacteristic
434#66896C2311yescharacteristic
435C22⋊(C11⋊C8)C2311yescharacteristic
436C22⋊(C11⋊C8)C2311yescharacteristic
437#66885C2311yescharacteristic
438#66885C2311yescharacteristic
439#66885C2311yescharacteristic
440#66885C2311yescharacteristic
441#66885C2311yescharacteristic
442#66885C2311yescharacteristic
443(C2×D11)⋊C8C2311yescharacteristic
444(C2×D11)⋊C8C2311yescharacteristic
445(C2×D11)⋊C8C2311yescharacteristic
446(C2×D11)⋊C8C2311yescharacteristic
447#66882C2311yescharacteristic
448#66882C2311yescharacteristic
449#66881C2311yescharacteristic
450#66881C2311yescharacteristic
451#66880C2311yescharacteristic
452#66880C2311yescharacteristic
453#66879C2311yescharacteristic
454Dic11⋊C8C2311yescharacteristic
455Dic11⋊C8C2311yescharacteristic
456Dic11⋊C8C2311yescharacteristic
457Dic11⋊C8C2311yescharacteristic
458C8×Dic11C2311yescharacteristic
459C8×Dic11C2311yescharacteristic
460C8×Dic11C2311yescharacteristic
461#66874C2311yescharacteristic
462#66874C2311yescharacteristic
463#66873C2311yescharacteristic
464#66873C2311yescharacteristic
465#66873C2311yescharacteristic
466#66873C2311yescharacteristic
467#66873C2311yescharacteristic
468#66873C2311yescharacteristic
469#66872C2311yescharacteristic
470#66872C2311yescharacteristic
471#66871C2311yescharacteristic
472#66871C2311yescharacteristic
473#66871C2311yescharacteristic
474#66871C2311yescharacteristic
475#66871C2311yescharacteristic
476#66871C2311yescharacteristic
477C4⋊(C11⋊C8)C2311yescharacteristic
478C4⋊(C11⋊C8)C2311yescharacteristic
479#66867C2311yescharacteristic
480C4×C11⋊C8C2311yescharacteristic
481#61494—111nomaximal, Sylow
482C23×D11—21no—
483C23×D11—21no—
484C2×Q8×C11—21no—
485C2×Q8×C11C2411yescharacteristic
486C2×D4×C11—21no—
487C2×D4×C11—21no—
488C2×D4×C11—21no—
489C2×D4×C11—21no—
490C2×D4×C11—21no—
491C2×D4×C11C2411yescharacteristic
492C2×D4×C11C2411yescharacteristic
493C2×D4×C11C2411yescharacteristic
494C22×C4×C11—21no—
495C22×C4×C11—21no—
496C22×C4×C11—21no—
497C22×C4×C11C2411yescharacteristic
498C2×C22⋊D11—21no—
499C2×C22⋊D11—21no—
500C2×C22⋊D11—21no—
501C2×C22⋊D11—21no—
502C2×C22⋊D11—21no—
503C2×C22⋊D11—21no—
504C2×C22⋊D11—21no—
505C2×C22⋊D11—21no—
506C2×C22⋊D11—21no—
507C2×C22⋊D11—21no—
508C2×C22⋊D11—21no—
509C2×C22⋊D11—21no—
510C2×C22⋊D11—21no—
511C2×C22⋊D11C2×D411yescharacteristic
512C2×C22⋊D11C2×D411yescharacteristic
513C22×Dic11—21no—
514C22×Dic11—21no—
515C22×Dic11—21no—
516C22×Dic11—21no—
517C22×Dic11—21no—
518C22×Dic11—21no—
519#4343—22no—
520#4343—41no—
521Q8×D11—82no—
522#4341—22no—
523#4341—22no—
524#4341—41no—
525#4341—41no—
526#4341—82no—
527#4341—82no—
528D4×D11—22no—
529D4×D11—41no—
530D4×D11—82no—
531#4339—22no—
532#4339—41no—
533#4339—82no—
534#4339—82no—
535C2×D44—21no—
536C2×D44—21no—
537C2×D44—21no—
538C2×D44—21no—
539C2×D44—21no—
540C2×D44—22no—
541C2×D44—21no—
542C2×D44—41no—
543C2×D44C2×D411yescharacteristic
544C2×D44C2411yescharacteristic
545C2×D44C2411yescharacteristic
546C2×D44C2411yescharacteristic
547C2×C4×D11—21no—
548C2×C4×D11—21no—
549C2×C4×D11—21no—
550C2×C4×D11—21no—
551C2×C4×D11—21no—
552C2×C4×D11—21no—
553C2×C4×D11—21no—
554C2×C4×D11—21no—
555C2×C4×D11—21no—
556C2×C4×D11—21no—
557C2×C4×D11—21no—
558C2×C4×D11C2×D411yescharacteristic
559C2×C4×D11C2×D411yescharacteristic
560C2×C4×D11C2411yescharacteristic
561C2×C4×D11C2411yescharacteristic
562C2×Dic22—21no—
563C2×Dic22—21no—
564C2×Dic22—21no—
565C2×Dic22C2×D411yescharacteristic
566C2×Dic22C2411yescharacteristic
567C11×SD16—22no—
568C11×SD16—41no—
569C11×D8—22no—
570C11×D8—41no—
571C11×M16—22no—
572C2×C8×C11—41no—
573C2×C8×C11C2411yescharacteristic
574C2×C8×C11C2411yescharacteristic
575C2×C8×C11C2411yescharacteristic
576C2×C8×C11C2411yescharacteristic
577C11×C4⋊C4—21no—
578C11×C4⋊C4—21no—
579C11×C4⋊C4—21no—
580C11×C4⋊C4—21no—
581C11×C4⋊C4—21no—
582C11×C4⋊C4C2×D411yescharacteristic
583C11×C4⋊C4C2×D411yescharacteristic
584C11×C4⋊C4C2411yescharacteristic
585C11×C4⋊C4C2411yescharacteristic
586C11×C4⋊C4C2411yescharacteristic
587C11×C4⋊C4C2411yescharacteristic
588C11×C22⋊C4—21no—
589C11×C22⋊C4—21no—
590C11×C22⋊C4—21no—
591C11×C22⋊C4—21no—
592C11×C22⋊C4—21no—
593C11×C22⋊C4—21no—
594C11×C22⋊C4—21no—
595C11×C22⋊C4—21no—
596C11×C22⋊C4—21no—
597C11×C22⋊C4C2×D411yescharacteristic
598C11×C22⋊C4C2×D411yescharacteristic
599C42×C11—21no—
600C42×C11C2411yescharacteristic
601C42×C11C2411yescharacteristic
602C22⋊Dic11—21no—
603C22⋊Dic11—21no—
604C22⋊Dic11—21no—
605C22⋊Dic11—21no—
606C22⋊Dic11—21no—
607C22⋊Dic11—21no—
608C22⋊Dic11—21no—
609C22⋊Dic11C2×D411yescharacteristic
610C22⋊Dic11C2×D411yescharacteristic
611#4326—22no—
612#4325—41no—
613#4324—22no—
614#4323—22no—
615#4323—22no—
616#4323—41no—
617#4323—41no—
618#4323—41no—
619(C2×D11)⋊C4—21no—
620(C2×D11)⋊C4—21no—
621(C2×D11)⋊C4—21no—
622(C2×D11)⋊C4—21no—
623(C2×D11)⋊C4—21no—
624(C2×D11)⋊C4—21no—
625(C2×D11)⋊C4—21no—
626(C2×D11)⋊C4—21no—
627(C2×D11)⋊C4—21no—
628(C2×D11)⋊C4—21no—
629(C2×D11)⋊C4—21no—
630(C2×D11)⋊C4—21no—
631(C2×D11)⋊C4—21no—
632(C2×D11)⋊C4—21no—
633(C2×D11)⋊C4—21no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4—21no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4C2×D411yescharacteristic
638(C2×D11)⋊C4C2×D411yescharacteristic
639(C2×D11)⋊C4C2×D411yescharacteristic
640(C2×D11)⋊C4C2×D411yescharacteristic
641(C2×D11)⋊C4C2×D411yescharacteristic
642(C2×D11)⋊C4C2×D411yescharacteristic
643C4⋊Dic11—21no—
644C4⋊Dic11—21no—
645C4⋊Dic11—21no—
646C4⋊Dic11C2×D411yescharacteristic
647C4⋊Dic11C2×D411yescharacteristic
648C4⋊Dic11C2411yescharacteristic
649C4⋊Dic11C2411yescharacteristic
650C4⋊Dic11C2411yescharacteristic
651C4⋊Dic11C2411yescharacteristic
652Dic11⋊C4—21no—
653Dic11⋊C4—21no—
654Dic11⋊C4—21no—
655Dic11⋊C4—21no—
656Dic11⋊C4—21no—
657Dic11⋊C4—21no—
658Dic11⋊C4—21no—
659Dic11⋊C4—21no—
660Dic11⋊C4—21no—
661Dic11⋊C4—21no—
662Dic11⋊C4C2×D411yescharacteristic
663Dic11⋊C4C2×D411yescharacteristic
664Dic11⋊C4C2×D411yescharacteristic
665Dic11⋊C4C2×D411yescharacteristic
666Dic11⋊C4C2×D411yescharacteristic
667Dic11⋊C4C2×D411yescharacteristic
668C4×Dic11—21no—
669C4×Dic11—21no—
670C4×Dic11—21no—
671C4×Dic11—21no—
672C4×Dic11—21no—
673C4×Dic11—21no—
674C4×Dic11—21no—
675C4×Dic11—21no—
676C4×Dic11—21no—
677C4×Dic11C2×D411yescharacteristic
678C4×Dic11C2×D411yescharacteristic
679C4×Dic11C2411yescharacteristic
680C4×Dic11C2411yescharacteristic
681C2×C11⋊C8C2411yescharacteristic
682C2×C11⋊C8C2411yescharacteristic
683C2×C11⋊C8C2411yescharacteristic
684C2×C11⋊C8C2411yescharacteristic
685D88—22no—
686D88—22no—
687#4314—22no—
688#4314#4114yescomplemented
689#4313—22no—
690C8×D11—22no—
691C8×D11—41no—
692C8×D11—41no—
693#3517—111no—
694#3514—111no—
695#3399—111no—
696#3386—111no—
697#3365—111no—
698#3358—111no—
699#3353—111no—
700#3347—111no—
701#3347—111no—
702#3305—111no—
703#3305—111no—
704#3304—111no—
705#3297—111no—
706#3297—111no—
707#3294—111no—
708#3274—111no—
709#3268—111no—
710#3268—111no—
711#3179—111no—
712#3179D1111yescharacteristic, complemented
713#3169—111no—
714#3124—111no—
715#3124—111no—
716#3122—111no—
717#3122—111no—
718#3115—111no—
719#3115—111no—
720#2966—111no—
721#2946—111no—
722#2946—111no—
723C4×#135—111no—
724C23×C11—21no—
725C23×C11—21no—
726C23×C11—21no—
727C23×C11C22×D411yescharacteristic
728C22×D11—21no—
729C22×D11—21no—
730C22×D11—21no—
731C22×D11—42no—
732C22×D11—42no—
733C22×D11—81no—
734C22×D11—81no—
735C22×D11—81no—
736C22×D11—81no—
737C22×D11C22×D411yescharacteristic
738C22×D11C22×D411yescharacteristic
739Q8×C11—21no—
740Q8×C11—21no—
741Q8×C11—81no—
742D4×C11—21no—
743D4×C11—21no—
744D4×C11—21no—
745D4×C11—21no—
746D4×C11—21no—
747D4×C11—21no—
748D4×C11—81no—
749D4×C11—81no—
750D4×C11—81no—
751D4×C11—81no—
752D4×C11—81no—
753C2×C4×C11—21no—
754C2×C4×C11—21no—
755C2×C4×C11—21no—
756C2×C4×C11—21no—
757C2×C4×C11—21no—
758C2×C4×C11—21no—
759C2×C4×C11—21no—
760C2×C4×C11—81no—
761C2×C4×C11—81no—
762C2×C4×C11—81no—
763C2×C4×C11C22×D411yescharacteristic
764C2×C4×C11C22×D411yescharacteristic
765C2×C4×C11C22×D411yescharacteristic
766C2×C4×C11C22×D411yescharacteristic
767C2×C4×C11C22×D411yescharacteristic
768C2×C4×C11C2511yescharacteristic
769C22⋊D11—22no—
770C22⋊D11—41no—
771C22⋊D11—42no—
772C22⋊D11—42no—
773C22⋊D11—42no—
774C22⋊D11—42no—
775C22⋊D11—42no—
776C22⋊D11—42no—
777C22⋊D11—81no—
778C22⋊D11—81no—
779C22⋊D11—81no—
780C22⋊D11—81no—
781C22⋊D11—81no—
782C22⋊D11—81no—
783C22⋊D11—81no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—42no—
790C2×Dic11—42no—
791C2×Dic11—42no—
792C2×Dic11—81no—
793C2×Dic11—81no—
794C2×Dic11—81no—
795C2×Dic11C22×D411yescharacteristic
796C2×Dic11C22×D411yescharacteristic
797C2×Dic11C22×D411yescharacteristic
798C2×Dic11C22×D411yescharacteristic
799C2×Dic11C22×D411yescharacteristic
800C2×Dic11C22×D411yescharacteristic
801D44—21no—
802D44—21no—
803D44—21no—
804D44—21no—
805D44—21no—
806D44—41no—
807D44—42no—
808D44—42no—
809D44—81no—
810D44—81no—
811D44—81no—
812D44—81no—
813D44C2×#4112yes—
814C4×D11—21no—
815C4×D11—21no—
816C4×D11—21no—
817C4×D11—21no—
818C4×D11—22no—
819C4×D11—41no—
820C4×D11—42no—
821C4×D11—42no—
822C4×D11—42no—
823C4×D11—81no—
824C4×D11—81no—
825C4×D11—81no—
826C4×D11—81no—
827C4×D11—81no—
828C4×D11—81no—
829C4×D11—81no—
830C4×D11—81no—
831Dic22—21no—
832Dic22—22no—
833Dic22—42no—
834Dic22—42no—
835Dic22—81no—
836Dic22C2×#4112yes—
837C8×C11—21no—
838C8×C11—21no—
839C8×C11—21no—
840C8×C11C2×#4112yes—
841C11⋊C8—21no—
842C11⋊C8—21no—
843C11⋊C8—21no—
844C11⋊C8—21no—
845C2×AGL(1,ℤ/8)—111no—
846C2×AGL(1,ℤ/8)—111no—
847C2×#135—111no—
848#559—111no—
849#557—111no—
850#556—111no—
851#555—111no—
852#555—111no—
853#553—111no—
854#553—111no—
855#553—221no—
856#553—221no—
857#551—221no—
858#551—221no—
859#550—111no—
860#550—111no—
861#550—111no—
862#550—111no—
863#550—221no—
864D4×Q8—111no—
865#548—221no—
866#547—111no—
867#547—221no—
868#546—111no—
869#546—111no—
870#546—221no—
871D42—111no—
872#542—111no—
873#542C2×D1111yescharacteristic
874#540—111no—
875#540—221no—
876#540—221no—
877#540C2×D1111yescharacteristic, complemented
878#538—221no—
879#538—221no—
880#532—111no—
881#532—111no—
882#532—221no—
883#529—111no—
884#529—221no—
885#529—221no—
886C2×#124—221no—
887#520—111no—
888#520—111no—
889#518—111no—
890#518—111no—
891C4×#41—111no—
892C4×#41—111no—
893#501—111no—
894#501C2×D1111yescharacteristic, complemented
895#500—111no—
896#496—111no—
897#496C2×D1111yescharacteristic, complemented
898#493—111no—
899#488—111no—
900#488C2×D1111yescharacteristic, complemented
901#486—111no—
902#486—111no—
903#486—111no—
904#486C2×D1111yescharacteristic, complemented
905#484—111no—
906#484—111no—
907#482—111no—
908#482—111no—
909#482—111no—
910#482—111no—
911#482—111no—
912#482—111no—
913#482—111no—
914#482—111no—
915#480—111no—
916#480—111no—
917#478—111no—
918#478—111no—
919#478—111no—
920#478—111no—
921#477—111no—
922#477—111no—
923#475—111no—
924#475—111no—
925#474—111no—
926#474—111no—
927#474—111no—
928#474—111no—
929#469—111no—
930#469C2×D1111yescharacteristic
931#468—111no—
932#468C2×D1111yescharacteristic, complemented
933#466—111no—
934#466—111no—
935#466—111no—
936#466—111no—
937#466—111no—
938#466C2×D1111yescharacteristic
939#465—111no—
940#465C2×D1111yescharacteristic, complemented
941#464—111no—
942#464—111no—
943#463—111no—
944#463—111no—
945#460—111no—
946#460—111no—
947#459—111no—
948#459—111no—
949#459—111no—
950#459—111no—
951#459—111no—
952#459—111no—
953#452—111no—
954#452—111no—
955#449—111no—
956#449—111no—
957#449—111no—
958#449—111no—
959#449—111no—
960#449—111no—
961#447—111no—
962#447—111no—
963#447—111no—
964#447—111no—
965#446—111no—
966C8×Q8—111no—
967#442—111no—
968#442—111no—
969#442—111no—
970#442—111no—
971#442—111no—
972#442C2×D1111yescharacteristic, complemented
973#440—111no—
974#440—111no—
975#440—111no—
976#440—111no—
977#440—111no—
978#440C2×D1111yescharacteristic, complemented
979C4×Q16—111no—
980C4×Q16—111no—
981C4×SD16—111no—
982C4×SD16—111no—
983C4×SD16—111no—
984C4×SD16—111no—
985C4×SD16—111no—
986C4×SD16C2×D1111yescharacteristic, complemented
987C4×D8—111no—
988C4×D8—111no—
989C4×D8—111no—
990C4×D8—111no—
991C4×D8—111no—
992C4×D8—111no—
993C4×D8—111no—
994C4×D8C2×D1111yescharacteristic, complemented
995#436—111no—
996#435—111no—
997#435—111no—
998C8×D4—111no—
999C8×D4—111no—
1000C8×D4—111no—
1001#433—111no—
1002#433—111no—
1003#432—111no—
1004#428—111no—
1005#428—111no—
1006#427—111no—
1007#416—111no—
1008#416—111no—
1009#416—111no—
1010#416—111no—
1011C2×#102—111no—
1012C2×#102—111no—
1013#405—111no—
1014#405C2×D1111yescharacteristic, complemented
1015C2×C4×C8—111no—
1016C22×C11—21no—
1017C22×C11—21no—
1018C22×C11—21no—
1019C22×C11—41no—
1020C22×C11—41no—
1021C22×C11—41no—
1022C22×C11—41no—
1023C22×C11—41no—
1024C22×C11—41no—
1025C22×C11—41no—
1026C22×C11—41no—
1027C22×C11—41no—
1028C22×C11C23×D411yescharacteristic
1029C2×D11—21no—
1030C2×D11—21no—
1031C2×D11—22no—
1032C2×D11—21no—
1033C2×D11—21no—
1034C2×D11—21no—
1035C2×D11—21no—
1036C2×D11—41no—
1037C2×D11—41no—
1038C2×D11—41no—
1039C2×D11—41no—
1040C2×D11—41no—
1041C2×D11—41no—
1042C2×D11—41no—
1043C2×D11—41no—
1044C2×D11—162no—
1045C2×D11—162no—
1046C4×C11—21no—
1047C4×C11—21no—
1048C4×C11—21no—
1049C4×C11—21no—
1050C4×C11—21no—
1051C4×C11—41no—
1052C4×C11—41no—
1053C4×C11—41no—
1054C4×C11—41no—
1055C4×C11—41no—
1056C4×C11C22×#4111yescharacteristic
1057C4×C11#58511yescharacteristic
1058Dic11—21no—
1059Dic11—21no—
1060Dic11—22no—
1061Dic11—21no—
1062Dic11—21no—
1063Dic11—21no—
1064Dic11—41no—
1065Dic11—41no—
1066Dic11—41no—
1067Dic11—41no—
1068Dic11#57612yes—
1069C2×#41—111no—
1070C2×#41—111no—
1071C2×#41—111no—
1072C2×#41—111no—
1073C2×#41—221no—
1074C2×#41—221no—
1075C2×#41—221no—
1076C2×#41—221no—
1077C22×Q8—221no—
1078C22×D4—111no—
1079C22×D4—111no—
1080C22×D4—221no—
1081AGL(1,ℤ/8)—224no—
1082AGL(1,ℤ/8)—224no—
1083#135—224no—
1084C2×Q16—111no—
1085C2×SD16—111no—
1086C2×SD16—111no—
1087C2×SD16—111no—
1088C2×SD16—111no—
1089C2×SD16C22×D1111yescharacteristic
1090C2×SD16C22×D1111yescharacteristic
1091C2×D8—111no—
1092C2×D8—111no—
1093C2×D8—111no—
1094C2×D8—111no—
1095C2×D8—111no—
1096C2×D8—111no—
1097C2×D8—111no—
1098C2×D8C22×D1111yescharacteristic
1099C2×D8C22×D1111yescharacteristic
1100C2×M16—111no—
1101C2×M16C22×D1111yescharacteristic
1102C22×C8—111no—
1103C22×C8—111no—
1104C22×C8—111no—
1105C22×C8C22×D1111yescharacteristic
1106C4⋊Q8—111no—
1107C4⋊Q8—111no—
1108C4⋊Q8—111no—
1109C4⋊Q8—221no—
1110C4⋊Q8C22×D1111yescharacteristic
1111#127—111no—
1112#127—111no—
1113#127—111no—
1114#127—221no—
1115#127—221no—
1116#127—221no—
1117#127C22×D1111yescharacteristic
1118#126—21no—
1119#126—111no—
1120#126—111no—
1121#126—221no—
1122#126—221no—
1123#126—221no—
1124#126—221no—
1125#126—221no—
1126#125—111no—
1127#125—111no—
1128#125—221no—
1129#125—221no—
1130#125C22×D1111yescharacteristic
1131#124—21no—
1132#124—111no—
1133#124—111no—
1134#124—221no—
1135#124—221no—
1136#124—221no—
1137#124—221no—
1138#124—221no—
1139#124—221no—
1140#124—221no—
1141#124—221no—
1142#124—221no—
1143#124C22×D1111yescharacteristic
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123—111no—
1148#123—111no—
1149#123—221no—
1150#123—221no—
1151#123—221no—
1152#123—221no—
1153#123—221no—
1154#123—221no—
1155#123—221no—
1156#123—221no—
1157#123—221no—
1158#123—221no—
1159#123—221no—
1160C22⋊Q8—21no—
1161C22⋊Q8—111no—
1162C22⋊Q8—111no—
1163C22⋊Q8—221no—
1164C22⋊Q8—221no—
1165C22⋊Q8—221no—
1166C22⋊Q8—221no—
1167C22⋊Q8—221no—
1168C22⋊Q8C22×D1111yescharacteristic
1169#121—21no—
1170#121—21no—
1171#121—111no—
1172#121—111no—
1173#121—111no—
1174#121—111no—
1175#121—111no—
1176#121—111no—
1177#121—111no—
1178#121—111no—
1179#121—221no—
1180#121—221no—
1181#121—221no—
1182#121—221no—
1183#121—221no—
1184#121—221no—
1185#121—221no—
1186#121—221no—
1187#121—221no—
1188#121—221no—
1189#121—221no—
1190#121—221no—
1191#121—221no—
1192#121—221no—
1193#121—221no—
1194#121—221no—
1195#121—221no—
1196#121—221no—
1197#121—221no—
1198#121—221no—
1199#121C22×D1111yescharacteristic
1200#121C22×D1111yescharacteristic
1201#121C22×D1111yescharacteristic
1202#120—221no—
1203#120—221no—
1204#120—221no—
1205#120—221no—
1206C4×Q8—111no—
1207C4×Q8—111no—
1208C4×Q8—111no—
1209C4×Q8—111no—
1210C4×Q8—111no—
1211C4×Q8—111no—
1212C4×Q8—221no—
1213C4×Q8—221no—
1214C4×Q8C22×D1111yescharacteristic
1215C4×D4—111no—
1216C4×D4—111no—
1217C4×D4—111no—
1218C4×D4—111no—
1219C4×D4—111no—
1220C4×D4—111no—
1221C4×D4—111no—
1222C4×D4—111no—
1223C4×D4—111no—
1224C4×D4—111no—
1225C4×D4—111no—
1226C4×D4—111no—
1227C4×D4—111no—
1228C4×D4—111no—
1229C4×D4—221no—
1230C4×D4—221no—
1231C4×D4—221no—
1232C4×D4—221no—
1233C4×D4—221no—
1234C4×D4—221no—
1235C4×D4—221no—
1236C4×D4—221no—
1237C4×D4—221no—
1238C4×D4—221no—
1239C4×D4—221no—
1240C4×D4—221no—
1241C4×D4—221no—
1242C4×D4—221no—
1243C4×D4—221no—
1244C4×D4—221no—
1245C4×D4—221no—
1246C4×D4—221no—
1247C4×D4—221no—
1248C4×D4—221no—
1249C4×D4C22×D1111yescharacteristic
1250C4×D4C22×D1111yescharacteristic
1251C4×D4C22×D1111yescharacteristic
1252#117—111no—
1253#117—111no—
1254#117—111no—
1255#117—111no—
1256#117—111no—
1257#117—221no—
1258#117—221no—
1259#117—221no—
1260#117—221no—
1261#117—221no—
1262#117—221no—
1263#117C22×D1111yescharacteristic
1264C2×C4⋊C4—111no—
1265C2×C4⋊C4—111no—
1266C2×C4⋊C4—221no—
1267C2×C4⋊C4—221no—
1268C2×C22⋊C4—221no—
1269C2×C22⋊C4—221no—
1270C2×C22⋊C4—221no—
1271C2×C22⋊C4—221no—
1272C2×C22⋊C4—221no—
1273C2×C22⋊C4—221no—
1274C2×C42—111no—
1275C2×C42—221no—
1276C2×C42—221no—
1277#107—111no—
1278#107—111no—
1279#107—111no—
1280#107—111no—
1281#107—111no—
1282#107—111no—
1283#107—111no—
1284#107—111no—
1285#107C22×D1111yescharacteristic
1286#107C22×D1111yescharacteristic
1287#106—111no—
1288#106—111no—
1289#106—111no—
1290#106—111no—
1291#106C22×D1111yescharacteristic
1292#106C22×D1111yescharacteristic
1293C4⋊C8—111no—
1294C4⋊C8—111no—
1295C4⋊C8—111no—
1296C4⋊C8—111no—
1297C4⋊C8—111no—
1298C4⋊C8—111no—
1299#103—111no—
1300#103—111no—
1301#103—111no—
1302#103—111no—
1303#103—111no—
1304#103—111no—
1305#103C22×D1111yescharacteristic
1306#103C22×D1111yescharacteristic
1307#102—111no—
1308#102—111no—
1309#102—111no—
1310#102—111no—
1311#102—111no—
1312#102—111no—
1313#102—111no—
1314#102—111no—
1315#102—111no—
1316#102—111no—
1317#102—111no—
1318#102—111no—
1319#102—111no—
1320#102—111no—
1321#102—111no—
1322#102—111no—
1323#102—111no—
1324#102—111no—
1325#102C22×D1111yescharacteristic
1326#102C22×D1111yescharacteristic
1327#102C22×D1111yescharacteristic
1328#102C22×D1111yescharacteristic
1329#102C22×D1111yescharacteristic
1330#102C22×D1111yescharacteristic
1331C22⋊C8—111no—
1332C22⋊C8—111no—
1333C22⋊C8—111no—
1334C22⋊C8—111no—
1335C22⋊C8—111no—
1336C22⋊C8—111no—
1337#97—111no—
1338#97—111no—
1339#97C22×D1111yescharacteristic
1340#97C22×D1111yescharacteristic
1341C4×C8—111no—
1342C4×C8—111no—
1343C4×C8—111no—
1344C4×C8—111no—
1345C4×C8C22×D1111yescharacteristic
1346C4×C8C22×D1111yescharacteristic
1347C2×C11—41no—
1348C2×C11—81no—
1349C2×C11—81no—
1350C2×C11—81no—
1351C2×C11D4×#4111yescharacteristic
1352C2×C11C2×#57611yescharacteristic
1353C2×C11#358411yescharacteristic
1354D11—41no—
1355D11—41no—
1356D11—42no—
1357D11—81no—
1358D11—81no—
1359C24—221no—
1360C24—221no—
1361#41—222no—
1362#41—222no—
1363#41—222no—
1364#41—222no—
1365#41—441no—
1366#41—441no—
1367#41—441no—
1368#41—441no—
1369#41—882no—
1370#41—882no—
1371#41—882no—
1372#41—882no—
1373C2×Q8—21no—
1374C2×Q8—111no—
1375C2×Q8—111no—
1376C2×Q8—221no—
1377C2×Q8—221no—
1378C2×Q8—221no—
1379C2×Q8—882no—
1380C2×Q8C23×D1111yescharacteristic
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—111no—
1387C2×D4—111no—
1388C2×D4—111no—
1389C2×D4—111no—
1390C2×D4—111no—
1391C2×D4—111no—
1392C2×D4—222no—
1393C2×D4—221no—
1394C2×D4—221no—
1395C2×D4—221no—
1396C2×D4—221no—
1397C2×D4—221no—
1398C2×D4—221no—
1399C2×D4—221no—
1400C2×D4—221no—
1401C2×D4—221no—
1402C2×D4—221no—
1403C2×D4—221no—
1404C2×D4—221no—
1405C2×D4—222no—
1406C2×D4—221no—
1407C2×D4—221no—
1408C2×D4—221no—
1409C2×D4—221no—
1410C2×D4—221no—
1411C2×D4—221no—
1412C2×D4—221no—
1413C2×D4—441no—
1414C2×D4—441no—
1415C2×D4—882no—
1416C2×D4C23×D1111yescharacteristic
1417C2×D4C23×D1111yescharacteristic
1418C2×D4C23×D1111yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—111no—
1423C22×C4—111no—
1424C22×C4—111no—
1425C22×C4—111no—
1426C22×C4—221no—
1427C22×C4—221no—
1428C22×C4—221no—
1429C22×C4—221no—
1430C22×C4—221no—
1431C22×C4—221no—
1432C22×C4—221no—
1433C22×C4—221no—
1434C22×C4—221no—
1435C22×C4—221no—
1436C22×C4—221no—
1437C22×C4—221no—
1438C22×C4—221no—
1439C22×C4—221no—
1440C22×C4—221no—
1441C22×C4—221no—
1442C22×C4—221no—
1443C22×C4C23×D1111yescharacteristic
1444Q16—222no—
1445SD16—22no—
1446SD16—41no—
1447SD16—114no—
1448SD16—222no—
1449SD16—222no—
1450SD16—441no—
1451D8—22no—
1452D8—41no—
1453D8—222no—
1454D8—222no—
1455D8—222no—
1456D8—222no—
1457D8—441no—
1458D8—441no—
1459D8—441no—
1460M16—22no—
1461M16—222no—
1462C2×C8—41no—
1463C2×C8—111no—
1464C2×C8—111no—
1465C2×C8—111no—
1466C2×C8—111no—
1467C2×C8—222no—
1468C2×C8—441no—
1469C2×C8—441no—
1470C2×C8C23×D1111yescharacteristic
1471C2×C8C23×D1111yescharacteristic
1472C2×C8C23×D1111yescharacteristic
1473C2×C8C23×D1111yescharacteristic
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—111no—
1480C4⋊C4—111no—
1481C4⋊C4—111no—
1482C4⋊C4—111no—
1483C4⋊C4—111no—
1484C4⋊C4—111no—
1485C4⋊C4—111no—
1486C4⋊C4—111no—
1487C4⋊C4—111no—
1488C4⋊C4—111no—
1489C4⋊C4—111no—
1490C4⋊C4—111no—
1491C4⋊C4—221no—
1492C4⋊C4—221no—
1493C4⋊C4—221no—
1494C4⋊C4—221no—
1495C4⋊C4—221no—
1496C4⋊C4—221no—
1497C4⋊C4—221no—
1498C4⋊C4—221no—
1499C4⋊C4—221no—
1500C4⋊C4—221no—
1501C4⋊C4—221no—
1502C4⋊C4—221no—
1503C4⋊C4—221no—
1504C4⋊C4D4×D1111yescharacteristic
1505C4⋊C4D4×D1111yescharacteristic
1506C4⋊C4C23×D1111yescharacteristic
1507C4⋊C4C23×D1111yescharacteristic
1508C4⋊C4C23×D1111yescharacteristic
1509C4⋊C4C23×D1111yescharacteristic
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—111no—
1520C22⋊C4—111no—
1521C22⋊C4—111no—
1522C22⋊C4—111no—
1523C22⋊C4—111no—
1524C22⋊C4—111no—
1525C22⋊C4—111no—
1526C22⋊C4—111no—
1527C22⋊C4—221no—
1528C22⋊C4—221no—
1529C22⋊C4—221no—
1530C22⋊C4—221no—
1531C22⋊C4—221no—
1532C22⋊C4—221no—
1533C22⋊C4—221no—
1534C22⋊C4—221no—
1535C22⋊C4—221no—
1536C22⋊C4—221no—
1537C22⋊C4—221no—
1538C22⋊C4—221no—
1539C22⋊C4—221no—
1540C22⋊C4—221no—
1541C22⋊C4—221no—
1542C22⋊C4—221no—
1543C22⋊C4—221no—
1544C22⋊C4—221no—
1545C22⋊C4—221no—
1546C22⋊C4—221no—
1547C22⋊C4—221no—
1548C22⋊C4—221no—
1549C22⋊C4—221no—
1550C22⋊C4—221no—
1551C22⋊C4—221no—
1552C22⋊C4D4×D1111yescharacteristic
1553C22⋊C4D4×D1111yescharacteristic
1554C42—21no—
1555C42—111no—
1556C42—111no—
1557C42—111no—
1558C42—111no—
1559C42—221no—
1560C42—221no—
1561C42—221no—
1562C42—221no—
1563C42—221no—
1564C42—221no—
1565C42—221no—
1566C42—221no—
1567C42—221no—
1568C42C23×D1111yescharacteristic
1569C42C23×D1111yescharacteristic
1570C11#6149411yescharacteristic, complemented, Sylow
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—111no—
1575C23—111no—
1576C23—221no—
1577C23—221no—
1578C23—221no—
1579C23—442no—
1580C23—442no—
1581C23—881no—
1582C23—881no—
1583C23—881no—
1584C23—881no—
1585C23C2×D4×D1111yescharacteristic
1586Q8—21no—
1587Q8—21no—
1588Q8—81no—
1589Q8—112no—
1590Q8—222no—
1591Q8—221no—
1592Q8—442no—
1593Q8—442no—
1594Q8—881no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—81no—
1602D4—81no—
1603D4—81no—
1604D4—81no—
1605D4—81no—
1606D4—112no—
1607D4—222no—
1608D4—221no—
1609D4—221no—
1610D4—221no—
1611D4—221no—
1612D4—221no—
1613D4—441no—
1614D4—442no—
1615D4—442no—
1616D4—442no—
1617D4—442no—
1618D4—441no—
1619D4—442no—
1620D4—442no—
1621D4—442no—
1622D4—442no—
1623D4—881no—
1624D4—881no—
1625D4—881no—
1626D4—881no—
1627D4—881no—
1628D4—881no—
1629D4—881no—
1630D4—881no—
1631D4—881no—
1632D4—881no—
1633D4—881no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—111no—
1645C2×C4—111no—
1646C2×C4—111no—
1647C2×C4—111no—
1648C2×C4—111no—
1649C2×C4—111no—
1650C2×C4—222no—
1651C2×C4—221no—
1652C2×C4—221no—
1653C2×C4—221no—
1654C2×C4—221no—
1655C2×C4—221no—
1656C2×C4—221no—
1657C2×C4—221no—
1658C2×C4—221no—
1659C2×C4—221no—
1660C2×C4—441no—
1661C2×C4—442no—
1662C2×C4—442no—
1663C2×C4—442no—
1664C2×C4—442no—
1665C2×C4—442no—
1666C2×C4—442no—
1667C2×C4—881no—
1668C2×C4—881no—
1669C2×C4—881no—
1670C2×C4—881no—
1671C2×C4—881no—
1672C2×C4—881no—
1673C2×C4—881no—
1674C2×C4—881no—
1675C2×C4—881no—
1676C2×C4—881no—
1677C2×C4—881no—
1678C2×C4C2×D4×D1111yescharacteristic
1679C2×C4C2×D4×D1111yescharacteristic
1680C2×C4C2×D4×D1111yescharacteristic
1681C2×C4C2×D4×D1111yescharacteristic
1682C2×C4C2×D4×D1111yescharacteristic
1683C2×C4C24×D1111yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—221no—
1688C8—221no—
1689C8—221no—
1690C8—221no—
1691C8#41×D1112yes—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—221no—
1705C22—221no—
1706C22—221no—
1707C22—221no—
1708C22—222no—
1709C22—221no—
1710C22—221no—
1711C22—441no—
1712C22—441no—
1713C22—441no—
1714C22—441no—
1715C22—441no—
1716C22—441no—
1717C22—441no—
1718C22—441no—
1719C22—1762no—
1720C22—1762no—
1721C22C22×D4×D1111yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—112no—
1733C4—221no—
1734C4—221no—
1735C4—221no—
1736C4—222no—
1737C4—221no—
1738C4—221no—
1739C4—441no—
1740C4—441no—
1741C4—441no—
1742C4—441no—
1743C4C2×#41×D1111yescharacteristic
1744C4#1062345311yescharacteristic
1745C2—41no—
1746C2—81no—
1747C2—81no—
1748C2—81no—
1749C2—441no—
1750C2—441no—
1751C2—442no—
1752C2—881no—
1753C2—881no—
1754C2#1308210211yescharacteristic
1755C2D11×#57611yescharacteristic
1756C2#1308338811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3179C2
socleC22×C11C23×D4
hypercenter#3179D11
hypocenterC11#61494
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3179

Complements

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

NH ≅ G/Ntype
1. #13082618C2semidirect
2. #13082575C2semidirect
3. #13081655C2semidirect
4. #13081534C2semidirect
5. #13081309C2semidirect
6. #13081248C2semidirect
7. #13081195C2semidirect
8. #13081115C2semidirect
9. #13081111C2semidirect
10. #13080565C2semidirect
11. #13080561C2semidirect
12. #13080550C2semidirect
13. #13080472C2semidirect
14. #13080465C2semidirect
15. #13080424C2semidirect
16. #13080233C2semidirect
17. #13080163C2semidirect
18. #13080155C2semidirect
19. #13079295C2semidirect
20. #13079192C2semidirect
21. #13078882C2semidirect
22. #13078872C2semidirect
23. #13078858C2semidirect
24. #13078854C2semidirect
25. #13078765C2semidirect
26. #13078763C2semidirect
27. #13077587C2semidirect
28. #13077450C2semidirect
29. #13077441C2semidirect
30. C4×#66969C2semidirect
31. C11×#3179C2semidirect
33. C11×#540C22semidirect
39. #10623249C22semidirect
40. #10623249C22semidirect
43. #10623226C22semidirect
44. #10623216C22semidirect
59. #10623149C22semidirect
67. #10623130C22semidirect
71. #10623093C22semidirect
73. #10623079C22semidirect
74. #10623077C22semidirect
76. C4×#4341C22semidirect
78. #10623054C22semidirect
80. C11×#501C22semidirect
81. C11×#496C22semidirect
82. C11×#488C22semidirect
83. C11×#486C22semidirect
85. C11×#468C22semidirect
87. C11×#465C22semidirect
88. C11×#442C22semidirect
89. C11×#440C22semidirect
90. C4×C11×SD16C22semidirect
91. C4×C11×D8C22semidirect
92. C11×#405C22semidirect
93. #10622789C22semidirect
94. #10622787C22semidirect
95. #10622786C22semidirect
97. #10622778C22semidirect
98. #10622776C22semidirect
99. SD16×Dic11C22semidirect
100. #10622771C22semidirect
101. #10622770C22semidirect
103. #10622765C22semidirect
106. #10622763C22semidirect
108. #10622740C22semidirect
109. #10622734C22semidirect
110. #10622726C22semidirect
113. C8×C22⋊D11C22semidirect
114. #10622704C22semidirect
115. #10622700C22semidirect
117. #10622685C22semidirect
119. #10622679C22semidirect
120. #10622670C22semidirect
121. #10622667C22semidirect
122. #10622660C22semidirect
123. #10622657C22semidirect
127. #10622648C22semidirect
128. #10622648C22semidirect
130. C4×#4326C22semidirect
131. #10622639C22semidirect
132. #10622631C22semidirect
134. #10622627C22semidirect
136. C4×#4323C22semidirect
137. C4×#4323C22semidirect
138. #10622613C22semidirect
141. #10622498C22semidirect
142. #10622496C22semidirect
144. #10622494C22semidirect
145. #10622488C22semidirect
146. #10622487C22semidirect
148. #10622479C22semidirect
149. #10622479C22semidirect
151. #10622473C22semidirect
152. #10622469C22semidirect
153. #10622467C22semidirect
156. #10622422C22semidirect
157. #10622420C22semidirect
159. #10622413C22semidirect
160. #10622411C22semidirect
161. #10622404C22semidirect
162. #10622403C22semidirect
165. #10622397C22semidirect
167. #10622394C22semidirect
168. #10622392C22semidirect
169. #10622392C22semidirect
171. #10622388C22semidirect
172. #10622388C22semidirect
174. #10622385C22semidirect
175. #10622385C22semidirect
177. #10622376C22semidirect
180. #10622373C22semidirect
181. #10622373C22semidirect
182. #10622372C22semidirect
183. #10622372C22semidirect
184. #10622371C22semidirect
188. #10622324C22semidirect
190. #10622323C22semidirect
191. #10622322C22semidirect
192. #10622319C22semidirect
193. #10622318C22semidirect
194. #10622314C22semidirect
196. C4×D88C22semidirect
198. C4×#4314C22semidirect
199. #10622302C22semidirect
200. C8×D44C22semidirect
201. C4×C8×D11C22semidirect
202. C8×Dic22C22semidirect
688. #4314#41semidirect
712. #3179D11semidirect
877. #540C2×D11semidirect
894. #501C2×D11semidirect
897. #496C2×D11semidirect
900. #488C2×D11semidirect
904. #486C2×D11semidirect
932. #468C2×D11semidirect
940. #465C2×D11semidirect
972. #442C2×D11semidirect
978. #440C2×D11semidirect
986. C4×SD16C2×D11semidirect
994. C4×D8C2×D11semidirect
1014. #405C2×D11semidirect
1570. C11#61494semidirect

Maximal subgroups

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

subgroupindex
#130826182
#130825752
#130816552
#130815342
#130813092
#130812482
#130811952
#130811152
#130811112
#130805652
#130805612
#130805502
#130804722
#130804652
#130804242
#130802332
#130801632
#130801552
#130792952
#130791922
#130788822
#130788722
#130788582
#130788542
#130787652
#130787632
#130775872
#130774502
#130774412
C4×#669692
C11×#31792
#6149411