Finite Group Databasebeta

← #15622455

Subgroups — #15622455

Order 2816.

2060 conjugacy classes of subgroups.

The subgroup lattice has 1748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082031C211yesmaximal, characteristic, complemented
2#13081825C211yesmaximal, characteristic, complemented
3#13078906C211yesmaximal, characteristic, complemented
4#13078880C211yesmaximal, characteristic, complemented
5#13078876C211yesmaximal, characteristic, complemented
6#13078845C211yesmaximal, characteristic, complemented
7#13078841C211yesmaximal, characteristic, complemented
8#13078821C211yesmaximal, characteristic, complemented
9#13078809C211yesmaximal, characteristic, complemented
10#13078792C211yesmaximal, characteristic, complemented
11#13078782C211yesmaximal, characteristic, complemented
12#13078766C211yesmaximal, characteristic, complemented
13#13078762C211yesmaximal, characteristic, complemented
14#13078737C211yesmaximal, characteristic, complemented
15#13078733C211yesmaximal, characteristic, complemented
16#13078732C211yesmaximal, characteristic, complemented
17#13078720C211yesmaximal, characteristic, complemented
18#13078591C211yesmaximal, characteristic, complemented
19#13078571C211yesmaximal, characteristic, complemented
20#13078470C211yesmaximal, characteristic, complemented
21#13078457C211yesmaximal, characteristic, complemented
22#13078152C211yesmaximal, characteristic, complemented
23#13078132C211yesmaximal, characteristic, complemented
24#13077926C211yesmaximal, characteristic, complemented
25#13077897C211yesmaximal, characteristic, complemented
26C4×#66968C211yesmaximal, characteristic, complemented
27C4×#66967C211yesmaximal, characteristic, complemented
28#13077411C211yesmaximal, characteristic, complemented
29D11×#440C211yesmaximal, characteristic, complemented
30#13077264C211yesmaximal, characteristic, complemented
31C11×#3126C211yesmaximal, characteristic, complemented
32C2×#67040C2211yescharacteristic
33C11×#540C2211yescharacteristic
34C11×#519C2211yescharacteristic, complemented
35C2×Q8×Dic11C2211yescharacteristic, complemented
36C2×#66969C2211yescharacteristic
37C2×#66968C2211yescharacteristic
38C2×#66967C2211yescharacteristic
39C2×SD16×D11C2211yescharacteristic
40#10623247C2211yescharacteristic
41#10623246C2211yescharacteristic
42#10623222C2211yescharacteristic
43#10623220C2211yescharacteristic
44#10623193—21no—
45#10623188—21no—
46#10623187—21no—
47#10623180—21no—
48#10623146—21no—
49#10623144—21no—
50#10623139C2211yescharacteristic
51#10623138C2211yescharacteristic
52#10623137—21no—
53#10623131C2211yescharacteristic
54#10623127—21no—
55#10623127C2211yescharacteristic
56#10623105—21no—
57#10623105C2211yescharacteristic
58#10623105C2211yescharacteristic, complemented
59C4×#4343—21no—
60C4×#4343C2211yescharacteristic
61C4×#4343C2211yescharacteristic, complemented
62#10623103—21no—
63#10623103C2211yescharacteristic
64#10623103C2211yescharacteristic, complemented
65C4×Q8×D11—21no—
66C4×Q8×D11C2211yescharacteristic
67C4×Q8×D11C2211yescharacteristic, complemented
68#10623093C2211yescharacteristic
69#10623092C2211yescharacteristic
70C4×D4×D11C2211yescharacteristic
71C4×#4341C2211yescharacteristic
72#10623065C2211yescharacteristic
73#10623054—21no—
74#10623054—21no—
75#10623054C2211yescharacteristic
76#10623054C2211yescharacteristic, complemented
77#10623053—21no—
78#10623053—21no—
79#10623053C2211yescharacteristic
80#10623053C2211yescharacteristic, complemented
81C11×#482C2211yescharacteristic
82C11×#482C2211yescharacteristic, complemented
83C11×#479C2211yescharacteristic, complemented
84C11×#479C2211yescharacteristic, complemented
85C11×#460C2211yescharacteristic
86C11×#460C2211yescharacteristic
87C11×#448C2211yescharacteristic
88C11×#448C2211yescharacteristic, complemented
89C11×#440C2211yescharacteristic
90C11×#440C2211yescharacteristic, complemented
91C4×C11×SD16C2211yescharacteristic
92C4×C11×SD16C2211yescharacteristic, complemented
93C11×#433C2211yescharacteristic, complemented
94#10622841C2211yescharacteristic, complemented
95#10622840C2211yescharacteristic
96#10622785C2211yescharacteristic
97#10622785C2211yescharacteristic, complemented
98#10622783C2211yescharacteristic
99#10622783C2211yescharacteristic, complemented
100#10622779C2211yescharacteristic
101#10622779C2211yescharacteristic
102#10622777C2211yescharacteristic
103#10622777C2211yescharacteristic
104#10622777C2211yescharacteristic, complemented
105#10622777C2211yescharacteristic, complemented
106#10622776C2211yescharacteristic
107#10622776C2211yescharacteristic
108#10622688C2211yescharacteristic
109#10622685C2211yescharacteristic
110#10622679C2211yescharacteristic, complemented
111#10622676C2211yescharacteristic, complemented
112#10622650C2211yescharacteristic
113#10622650C2211yescharacteristic, complemented
114#10622647C2211yescharacteristic
115#10622646C2211yescharacteristic, complemented
116#10622643C2211yescharacteristic, complemented
117C4×#4326C2211yescharacteristic, complemented
118#10622641C2211yescharacteristic
119#10622641C2211yescharacteristic
120#10622639C2211yescharacteristic
121C4×#4325C2211yescharacteristic
122#10622634C2211yescharacteristic, complemented
123#10622633C2211yescharacteristic, complemented
124#10622631C2211yescharacteristic
125C4×#4324C2211yescharacteristic, complemented
126#10622627C2211yescharacteristic, complemented
127C4×#4323C2211yescharacteristic
128#10622616C2211yescharacteristic
129#10622613C2211yescharacteristic, complemented
130#10622609C2211yescharacteristic, complemented
131#10622503C2211yescharacteristic, complemented
132#10622502C2211yescharacteristic
133#10622502C2211yescharacteristic, complemented
134#10622498C2211yescharacteristic
135#10622497C2211yescharacteristic, complemented
136#10622493C2211yescharacteristic
137D11×#107C2211yescharacteristic
138#10622490C2211yescharacteristic, complemented
139#10622484C2211yescharacteristic, complemented
140#10622482C2211yescharacteristic
141#10622480C2211yescharacteristic, complemented
142#10622476C2211yescharacteristic
143#10622474C2211yescharacteristic
144#10622474C2211yescharacteristic
145#10622467C2211yescharacteristic, complemented
146#10622466C2211yescharacteristic, complemented
147#10622463C2211yescharacteristic, complemented
148#10622459C2211yescharacteristic, complemented
149#10622458C2211yescharacteristic
150#10622457C2211yescharacteristic
151#10622452C2211yescharacteristic
152#10622452C2211yescharacteristic
153#10622448C2211yescharacteristic, complemented
154#10622448C2211yescharacteristic, complemented
155#10622430C2211yescharacteristic
156#10622430C2211yescharacteristic
157#10622424C2211yescharacteristic
158#10622423C2211yescharacteristic, complemented
159#10622421C2211yescharacteristic, complemented
160#10622419C2211yescharacteristic
161#10622417C2211yescharacteristic
162#10622416C2211yescharacteristic
163#10622415C2211yescharacteristic
164D11×#103C2211yescharacteristic
165#10622409C2211yescharacteristic, complemented
166#10622409C2211yescharacteristic, complemented
167#10622407C2211yescharacteristic, complemented
168#10622407C2211yescharacteristic, complemented
169#10622402C2211yescharacteristic, complemented
170#10622402C2211yescharacteristic, complemented
171#10622400C2211yescharacteristic
172#10622399C2211yescharacteristic
173#10622398C2211yescharacteristic
174#10622398C2211yescharacteristic, complemented
175#10622397C2211yescharacteristic
176#10622397C2211yescharacteristic, complemented
177#10622387C2211yescharacteristic
178#10622387C2211yescharacteristic, complemented
179#10622385C2211yescharacteristic
180#10622384C2211yescharacteristic
181#10622383C2211yescharacteristic
182D11×#102C2211yescharacteristic
183#10622380C2211yescharacteristic
184#10622375C2211yescharacteristic
185#10622370C2211yescharacteristic
186#10622370C2211yescharacteristic, complemented
187#10622349C2211yescharacteristic
188#10622347C2211yescharacteristic
189#10622346C2211yescharacteristic, complemented
190#10622340C2211yescharacteristic
191#10622340C2211yescharacteristic
192#10622335C2211yescharacteristic, complemented
193#10622332C2211yescharacteristic, complemented
194#10622332C2211yescharacteristic, complemented
195#10622323C2211yescharacteristic
196#10622323C2211yescharacteristic, complemented
197#10622322C2211yescharacteristic, complemented
198D11×#97C2211yescharacteristic
199C4×Dic44C2211yescharacteristic, complemented
200C4×D88C2211yescharacteristic
201#10622303C2211yescharacteristic, complemented
202C4×#4313C2211yescharacteristic
203C22×Q8×C11C2311yescharacteristic
204#67040—24no—
205#67040—24no—
206C2×#4343—21no—
207C2×#4343C2311yescharacteristic
208C2×#4343C2311yescharacteristic
209C2×Q8×D11—21no—
210C2×Q8×D11C2311yescharacteristic
211C2×Q8×D11C2311yescharacteristic
212C2×#4341—21no—
213C2×#4341—21no—
214C2×#4341C2311yescharacteristic
215C2×D4×D11C2311yescharacteristic
216C2×#4339—21no—
217C2×#4339—21no—
218C2×#4339C2311yescharacteristic
219C2×#4339C2311yescharacteristic
220C22×C4×D11—21no—
221C2×C11×SD16C2311yescharacteristic
222C2×C11×SD16C2311yescharacteristic
223C2×C11×SD16C2311yescharacteristic
224C2×C11×SD16C2311yescharacteristic
225C11×#127C2311yescharacteristic
226C11×#125C2311yescharacteristic
227C11×#123—21no—
228C11×#123—21no—
229C11×#121—21no—
230C11×#121—21no—
231C11×#121C2311yescharacteristic
232C11×#121C2311yescharacteristic
233C4×Q8×C11—21no—
234C4×Q8×C11—21no—
235C4×Q8×C11C2311yescharacteristic
236C4×Q8×C11C2311yescharacteristic
237C4×Q8×C11C2311yescharacteristic
238C4×Q8×C11C2311yescharacteristic
239C4×D4×C11C2311yescharacteristic
240C4×D4×C11C2311yescharacteristic
241C11×#117—21no—
242C11×#117—21no—
243C11×#117C2311yescharacteristic
244C11×#117C2311yescharacteristic
245Q8×Dic11—21no—
246Q8×Dic11—21no—
247Q8×Dic11C2311yescharacteristic
248Q8×Dic11C2311yescharacteristic
249Q8×Dic11C2311yescharacteristic
250Q8×Dic11C2311yescharacteristic
251C2×#4326C2311yescharacteristic
252C2×#4326C2311yescharacteristic
253C2×#4325C2311yescharacteristic
254C2×#4325C2311yescharacteristic
255#66993—21no—
256#66993C2311yescharacteristic
257#66992—21no—
258#66992—21no—
259#66992—21no—
260#66992—21no—
261#66991—21no—
262#66991—21no—
263#66991C2311yescharacteristic
264#66991C2311yescharacteristic
265#66990—21no—
266#66990—21no—
267#66990—21no—
268#66989—21no—
269#66989C2311yescharacteristic
270#66988—21no—
271D4×Dic11—21no—
272D4×Dic11—21no—
273D4×Dic11C2311yescharacteristic
274D4×Dic11C2311yescharacteristic
275C2×#4324C2311yescharacteristic
276C2×#4324C2311yescharacteristic
277C2×#4323C2311yescharacteristic
278C2×#4323C2311yescharacteristic
279#66983—21no—
280#66983C2311yescharacteristic
281#66982—21no—
282#66982—21no—
283C4×C22⋊D11—21no—
284C4×C22⋊D11—21no—
285C2×C4⋊Dic11—21no—
286C2×C4⋊Dic11C2311yescharacteristic
287#66977—21no—
288#66977C2311yescharacteristic
289C2×C4×Dic11—21no—
290C2×C4×Dic11—21no—
291C2×C4×Dic11C2311yescharacteristic
292#66969—24no—
293#66968—24no—
294#66967—24no—
295SD16×D11—24no—
296C2×Dic44C2311yescharacteristic
297C2×D88C2311yescharacteristic
298C2×#4314C2311yescharacteristic
299C2×#4314C2311yescharacteristic
300C2×#4313C2311yescharacteristic
301C2×#4313C2311yescharacteristic
302C2×C8×D11C2311yescharacteristic
303C2×C8×D11C2311yescharacteristic
304#66951—21no—
305#66951—21no—
306#66950—21no—
307#66950C2311yescharacteristic
308#66949—21no—
309#66949—21no—
310#66948C2311yescharacteristic
311#66947—21no—
312#66946—21no—
313#66946—21no—
314#66946—21no—
315#66946—21no—
316#66946—21no—
317#66946D411yescharacteristic
318#66946D411yescharacteristic
319#66946C2311yescharacteristic
320#66946C2311yescharacteristic
321#66946C2311yescharacteristic
322#66945—21no—
323#66945—21no—
324#66945—21no—
325#66945—21no—
326#66945—21no—
327#66945—21no—
328#66945C2311yescharacteristic
329#66945C2311yescharacteristic
330#66945C2311yescharacteristic
331C4⋊C4×D11—21no—
332C4⋊C4×D11—21no—
333C4⋊C4×D11—21no—
334C4⋊C4×D11—21no—
335C4⋊C4×D11—21no—
336C4⋊C4×D11C2311yescharacteristic
337C4⋊C4×D11C2311yescharacteristic
338C4⋊C4×D11C2311yescharacteristic
339#66943C2311yescharacteristic
340#66942—21no—
341#66941—21no—
342#66941C2311yescharacteristic
343#66940—21no—
344#66940—21no—
345#66940—21no—
346#66940—21no—
347#66940D411yescharacteristic
348#66940D411yescharacteristic
349#66940C2311yescharacteristic
350#66940C2311yescharacteristic
351#66940C2311yescharacteristic
352#66938—21no—
353#66938—21no—
354#66938—21no—
355#66938—21no—
356#66937—21no—
357#66937—21no—
358#66936—21no—
359#66936—21no—
360#66935—21no—
361(C22⋊D11)⋊C4—21no—
362(C22⋊D11)⋊C4—21no—
363(C22⋊D11)⋊C4—21no—
364(C22⋊D11)⋊C4—21no—
365(C22⋊D11)⋊C4—21no—
366(C22⋊D11)⋊C4—21no—
367(C22⋊D11)⋊C4—21no—
368(C22⋊D11)⋊C4—21no—
369(C22⋊D11)⋊C4—21no—
370(C22⋊D11)⋊C4D411yescharacteristic
371(C22⋊D11)⋊C4D411yescharacteristic
372(C22⋊D11)⋊C4D411yescharacteristic
373(C22⋊D11)⋊C4D411yescharacteristic
374C22⋊C4×D11—21no—
375#66932—21no—
376#66932—21no—
377#66931—21no—
378#66930—21no—
379#66930—21no—
380#66928C2311yescharacteristic
381C4×D44—21no—
382C4×D44—21no—
383C4×D44—21no—
384C4×D44—21no—
385C4×D44—21no—
386C4×D44C2311yescharacteristic
387C4×D44C2311yescharacteristic
388C4×D44C2311yescharacteristic
389#66925—21no—
390#66925—21no—
391#66925—21no—
392#66925—21no—
393#66925—21no—
394#66925C2311yescharacteristic
395#66925C2311yescharacteristic
396C42×D11—21no—
397C42×D11—21no—
398C42×D11—21no—
399C42×D11—21no—
400C42×D11—21no—
401C42×D11C2311yescharacteristic
402C42×D11C2311yescharacteristic
403#66922C2311yescharacteristic
404C4×Dic22—21no—
405C4×Dic22—21no—
406C4×Dic22—21no—
407C4×Dic22—21no—
408C4×Dic22—21no—
409C4×Dic22C2311yescharacteristic
410C4×Dic22C2311yescharacteristic
411C4×Dic22C2311yescharacteristic
412C11×#107C2311yescharacteristic
413C11×#107C2311yescharacteristic
414C11×#106C2311yescharacteristic
415C11×#106C2311yescharacteristic
416C11×C4⋊C8C2311yescharacteristic
417C11×C4⋊C8C2311yescharacteristic
418C11×#103C2311yescharacteristic
419C11×#103C2311yescharacteristic
420C11×#103C2311yescharacteristic
421C11×#103C2311yescharacteristic
422C11×#102C2311yescharacteristic
423C11×#102C2311yescharacteristic
424C11×#102C2311yescharacteristic
425C11×#102C2311yescharacteristic
426C11×C22⋊C8C2311yescharacteristic
427C11×C22⋊C8C2311yescharacteristic
428C11×#97C2311yescharacteristic
429C4×C8×C11C2311yescharacteristic
430#66899C2311yescharacteristic
431#66899C2311yescharacteristic
432#66899C2311yescharacteristic
433#66899C2311yescharacteristic
434#66896C2311yescharacteristic
435#66896C2311yescharacteristic
436#66896C2311yescharacteristic
437#66896C2311yescharacteristic
438C22⋊(C11⋊C8)C2311yescharacteristic
439C22⋊(C11⋊C8)C2311yescharacteristic
440#66885C2311yescharacteristic
441#66885C2311yescharacteristic
442#66885C2311yescharacteristic
443#66885C2311yescharacteristic
444(C2×D11)⋊C8C2311yescharacteristic
445(C2×D11)⋊C8C2311yescharacteristic
446(C2×D11)⋊C8C2311yescharacteristic
447(C2×D11)⋊C8C2311yescharacteristic
448#66882C2311yescharacteristic
449#66882C2311yescharacteristic
450#66882C2311yescharacteristic
451#66882C2311yescharacteristic
452#66880C2311yescharacteristic
453#66880C2311yescharacteristic
454#66880C2311yescharacteristic
455#66880C2311yescharacteristic
456#66879C2311yescharacteristic
457#66879C2311yescharacteristic
458#66879C2311yescharacteristic
459#66879C2311yescharacteristic
460Dic11⋊C8C2311yescharacteristic
461Dic11⋊C8C2311yescharacteristic
462Dic11⋊C8C2311yescharacteristic
463Dic11⋊C8C2311yescharacteristic
464#66874C2311yescharacteristic
465#66874C2311yescharacteristic
466#66874C2311yescharacteristic
467#66874C2311yescharacteristic
468#66873C2311yescharacteristic
469#66873C2311yescharacteristic
470#66873C2311yescharacteristic
471#66873C2311yescharacteristic
472#66872C2311yescharacteristic
473#66872C2311yescharacteristic
474#66872C2311yescharacteristic
475#66872C2311yescharacteristic
476#66871C2311yescharacteristic
477#66871C2311yescharacteristic
478#66871C2311yescharacteristic
479#66871C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481C4⋊(C11⋊C8)C2311yescharacteristic
482#66867C2311yescharacteristic
483C4×C11⋊C8C2311yescharacteristic
484#60576—111nomaximal, Sylow
485C23×D11—21no—
486C2×Q8×C11—22no—
487C2×Q8×C11—22no—
488C2×Q8×C11—21no—
489C2×Q8×C11C2411yescharacteristic
490C2×Q8×C11C2411yescharacteristic
491C2×D4×C11—21no—
492C2×D4×C11—21no—
493C2×D4×C11—21no—
494C2×D4×C11—21no—
495C2×D4×C11C2411yescharacteristic
496C2×D4×C11C2411yescharacteristic
497C22×C4×C11—21no—
498C22×C4×C11—21no—
499C22×C4×C11—21no—
500C22×C4×C11C2411yescharacteristic
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⋊D11C2×D411yescharacteristic
510C2×C22⋊D11C2×D411yescharacteristic
511C22×Dic11—21no—
512C22×Dic11—21no—
513C22×Dic11—21no—
514C22×Dic11—21no—
515C22×Dic11C2×D411yescharacteristic
516C22×Dic11C2×D411yescharacteristic
517#4343—28no—
518#4343—22no—
519#4343—22no—
520#4343—22no—
521#4343#4114yescomplemented
522Q8×D11—28no—
523Q8×D11—22no—
524Q8×D11—22no—
525Q8×D11—22no—
526Q8×D11#4114yescomplemented
527#4341—22no—
528#4341—22no—
529#4341—82no—
530#4341—82no—
531D4×D11—22no—
532D4×D11—22no—
533#4339—28no—
534#4339—28no—
535#4339—22no—
536#4339—22no—
537#4339—22no—
538#4339—22no—
539C2×D44—21no—
540C2×D44—21no—
541C2×D44—21no—
542C2×D44C2×D411yescharacteristic
543C2×D44C2411yescharacteristic
544C2×D44C2411yescharacteristic
545C2×C4×D11—21no—
546C2×C4×D11—21no—
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×D11—21no—
559C2×C4×D11—82no—
560C2×C4×D11C2×D411yescharacteristic
561C2×C4×D11C2×D411yescharacteristic
562C2×C4×D11C2×D411yescharacteristic
563C2×C4×D11C2×D411yescharacteristic
564C2×C4×D11C2411yescharacteristic
565C2×C4×D11C2411yescharacteristic
566C2×Dic22—21no—
567C2×Dic22—21no—
568C2×Dic22—21no—
569C2×Dic22—21no—
570C2×Dic22C2×D411yescharacteristic
571C2×Dic22C2411yescharacteristic
572C2×Dic22C2411yescharacteristic
573C11×SD16—22no—
574C11×SD16—22no—
575C11×SD16—22no—
576C11×SD16—22no—
577C2×C8×C11C2411yescharacteristic
578C2×C8×C11C2411yescharacteristic
579C2×C8×C11C2411yescharacteristic
580C2×C8×C11C2411yescharacteristic
581C11×C4⋊C4—21no—
582C11×C4⋊C4—21no—
583C11×C4⋊C4—21no—
584C11×C4⋊C4—21no—
585C11×C4⋊C4—21no—
586C11×C4⋊C4—21no—
587C11×C4⋊C4C2×D411yescharacteristic
588C11×C4⋊C4C2×D411yescharacteristic
589C11×C4⋊C4C2411yescharacteristic
590C11×C4⋊C4C2411yescharacteristic
591C11×C4⋊C4C2411yescharacteristic
592C11×C4⋊C4C2411yescharacteristic
593C11×C22⋊C4—21no—
594C11×C22⋊C4—21no—
595C11×C22⋊C4—21no—
596C11×C22⋊C4—21no—
597C11×C22⋊C4—21no—
598C11×C22⋊C4C2×D411yescharacteristic
599C11×C22⋊C4C2×D411yescharacteristic
600C42×C11—21no—
601C42×C11—21no—
602C42×C11—21no—
603C42×C11—21no—
604C42×C11—21no—
605C42×C11C2411yescharacteristic
606C42×C11C2411yescharacteristic
607C22⋊Dic11—21no—
608C22⋊Dic11—21no—
609C22⋊Dic11—21no—
610C22⋊Dic11—21no—
611C22⋊Dic11—21no—
612C22⋊Dic11—21no—
613C22⋊Dic11—21no—
614#4326—22no—
615#4326—22no—
616#4325—22no—
617#4325—22no—
618#4324—22no—
619#4324—22no—
620#4323—22no—
621#4323—22no—
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)⋊C4C2×D411yescharacteristic
637(C2×D11)⋊C4C2×D411yescharacteristic
638(C2×D11)⋊C4C2×D411yescharacteristic
639(C2×D11)⋊C4C2×D411yescharacteristic
640C4⋊Dic11—21no—
641C4⋊Dic11—21no—
642C4⋊Dic11—21no—
643C4⋊Dic11—21no—
644C4⋊Dic11—21no—
645C4⋊Dic11—21no—
646C4⋊Dic11—21no—
647C4⋊Dic11—21no—
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⋊C4—21no—
663Dic11⋊C4—21no—
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×Dic11—21no—
678C4×Dic11—21no—
679C4×Dic11—21no—
680C4×Dic11—21no—
681C4×Dic11C2×D411yescharacteristic
682C4×Dic11C2×D411yescharacteristic
683C4×Dic11C2×D411yescharacteristic
684C4×Dic11C2×D411yescharacteristic
685C4×Dic11C2×D411yescharacteristic
686C4×Dic11C2×D411yescharacteristic
687C4×Dic11C2411yescharacteristic
688C4×Dic11C2411yescharacteristic
689C2×C11⋊C8C2411yescharacteristic
690C2×C11⋊C8C2411yescharacteristic
691C2×C11⋊C8C2411yescharacteristic
692C2×C11⋊C8C2411yescharacteristic
693Dic44—22no—
694D88—22no—
695#4314—22no—
696#4314—22no—
697#4313—22no—
698#4313—22no—
699C8×D11—22no—
700C8×D11—22no—
701#3460—111no—
702C4×2−1+4—111no—
703#3126—111no—
704#3126D1111yescharacteristic, complemented
705#3124—111no—
706#3124—111no—
707#3121—111no—
708#3121—111no—
709#3119—111no—
710#3119—111no—
711#3117—111no—
712#3117—111no—
713#3115—111no—
714#3115—111no—
715#3112—111no—
716#3112—111no—
717#3111—111no—
718#3111—111no—
719#3098—111no—
720#3096—111no—
721#3083—111no—
722#3082—111no—
723#3045—111no—
724#3043—111no—
725#3013—111no—
726#3010—111no—
727C4×#137—111no—
728C4×AGL(1,ℤ/8)—111no—
729#2943—111no—
730C2×#440—111no—
731#2923—111no—
732C23×C11—21no—
733C23×C11—21no—
734C23×C11C22×D411yescharacteristic
735C22×D11—21no—
736C22×D11—21no—
737C22×D11—42no—
738C22×D11—81no—
739C22×D11—81no—
740C22×D11C22×D411yescharacteristic
741C22×D11C22×D411yescharacteristic
742Q8×C11—24no—
743Q8×C11—21no—
744Q8×C11—21no—
745Q8×C11C2×#4112yes—
746Q8×C11C2×#4112yes—
747D4×C11—21no—
748D4×C11—21no—
749D4×C11—21no—
750D4×C11—21no—
751D4×C11—81no—
752D4×C11—81no—
753D4×C11—81no—
754D4×C11—81no—
755C2×C4×C11—24no—
756C2×C4×C11—21no—
757C2×C4×C11—21no—
758C2×C4×C11—21no—
759C2×C4×C11—21no—
760C2×C4×C11—21no—
761C2×C4×C11—21no—
762C2×C4×C11—21no—
763C2×C4×C11—21no—
764C2×C4×C11—81no—
765C2×C4×C11—81no—
766C2×C4×C11C22×D411yescharacteristic
767C2×C4×C11C22×D411yescharacteristic
768C2×C4×C11C22×D411yescharacteristic
769C2×C4×C11C22×D411yescharacteristic
770C2×C4×C11C22×D411yescharacteristic
771C2×C4×C11C2511yescharacteristic
772C22⋊D11—24no—
773C22⋊D11—22no—
774C22⋊D11—22no—
775C22⋊D11—42no—
776C22⋊D11—42no—
777C22⋊D11—81no—
778C22⋊D11—81no—
779C22⋊D11—81no—
780C22⋊D11—81no—
781C22⋊D11—81no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—41no—
789C2×Dic11—41no—
790C2×Dic11—42no—
791C2×Dic11—42no—
792C2×Dic11—42no—
793C2×Dic11—81no—
794C2×Dic11C22×D411yescharacteristic
795C2×Dic11C22×D411yescharacteristic
796C2×Dic11C22×D411yescharacteristic
797C2×Dic11C22×D411yescharacteristic
798C2×Dic11C22×D411yescharacteristic
799C2×Dic11C22×D411yescharacteristic
800D44—24no—
801D44—24no—
802D44—22no—
803D44—21no—
804D44—21no—
805D44—21no—
806D44—81no—
807D44C2×#4112yes—
808C4×D11—24no—
809C4×D11—24no—
810C4×D11—24no—
811C4×D11—24no—
812C4×D11—21no—
813C4×D11—21no—
814C4×D11—24no—
815C4×D11—41no—
816C4×D11—41no—
817C4×D11—41no—
818C4×D11—41no—
819C4×D11—42no—
820C4×D11—42no—
821C4×D11—81no—
822C4×D11—81no—
823C4×D11—81no—
824C4×D11—81no—
825C4×D11—81no—
826C4×D11—81no—
827C4×D11—81no—
828C4×D11C2×#4112yes—
829C4×D11C2×#4112yes—
830Dic22—24no—
831Dic22—21no—
832Dic22—24no—
833Dic22—22no—
834Dic22—21no—
835Dic22—21no—
836Dic22—81no—
837Dic22—81no—
838Dic22C2×#4112yes—
839C8×C11—21no—
840C8×C11—21no—
841C8×C11—21no—
842C8×C11—21no—
843C11⋊C8—21no—
844C11⋊C8—21no—
845C11⋊C8—21no—
846C11⋊C8—21no—
847C2×2−1+4—111no—
848C2×#137—111no—
849C2×AGL(1,ℤ/8)—111no—
850C2×#135—111no—
851C22×SD16—111no—
852#544—111no—
853#542—111no—
854#542—111no—
855#542—221no—
856#540—111no—
857#540—221no—
858#540C2×D1111yescharacteristic
859#538—221no—
860#538—221no—
861#537—111no—
862#535—111no—
863#535—111no—
864#532—111no—
865#532—111no—
866#532—221no—
867#529—111no—
868#529—111no—
869#529—221no—
870#525—221no—
871#525—221no—
872#520—111no—
873#520—111no—
874#520—111no—
875#520—111no—
876#520—221no—
877#520—221no—
878#520—221no—
879#519—111no—
880#519—111no—
881#519—221no—
882#519C2×D1111yescharacteristic, complemented
883C4×#41—111no—
884C4×#41—111no—
885C4×#41—111no—
886C4×#41—111no—
887C4×#41—111no—
888C4×#41—221no—
889C4×#41—221no—
890C4×#41—221no—
891C2×C4×Q8—111no—
892C2×C4×Q8—111no—
893C2×C4×Q8—111no—
894C2×C4×Q8—221no—
895C2×C4×D4—111no—
896#485—111no—
897#485—111no—
898#484—111no—
899#484—111no—
900#482—111no—
901#482—111no—
902#482—111no—
903#482—111no—
904#482C2×D1111yescharacteristic
905#482C2×D1111yescharacteristic, complemented
906#481—111no—
907#481—111no—
908#480—111no—
909#480—111no—
910#480—111no—
911#480—111no—
912#479—111no—
913#479—111no—
914#479—111no—
915#479—111no—
916#479C2×D1111yescharacteristic, complemented
917#479C2×D1111yescharacteristic, complemented
918#478—111no—
919#478—111no—
920#477—111no—
921#477—111no—
922#477—111no—
923#477—111no—
924#475—111no—
925#475—111no—
926#474—111no—
927#474—111no—
928#464—111no—
929#464—111no—
930#464—111no—
931#464—111no—
932#464—111no—
933#464—111no—
934#463—111no—
935#463—111no—
936#460—111no—
937#460—111no—
938#460—111no—
939#460—111no—
940#460C2×D1111yescharacteristic
941#460C2×D1111yescharacteristic
942#459—111no—
943#459—111no—
944#452—111no—
945#452—111no—
946#451—111no—
947#451—111no—
948#449—111no—
949#449—111no—
950#449—111no—
951#449—111no—
952#449—111no—
953#449—111no—
954#448—111no—
955#448—111no—
956#448—111no—
957#448—111no—
958#448C2×D1111yescharacteristic
959#448C2×D1111yescharacteristic, complemented
960#442—111no—
961#442—111no—
962#442—111no—
963#442—111no—
964#441—111no—
965#441—111no—
966#441—111no—
967#441—111no—
968#440—111no—
969#440—111no—
970#440—111no—
971#440—111no—
972#440—111no—
973#440—111no—
974#440—111no—
975#440—111no—
976#440—111no—
977#440—111no—
978#440—111no—
979#440—111no—
980#440—111no—
981#440—111no—
982#440C2×D1111yescharacteristic
983#440C2×D1111yescharacteristic, complemented
984C4×Q16—111no—
985C4×Q16—111no—
986C4×SD16—111no—
987C4×SD16—111no—
988C4×SD16C2×D1111yescharacteristic
989C4×SD16C2×D1111yescharacteristic, complemented
990C4×D8—111no—
991C4×D8—111no—
992#433—111no—
993#433—111no—
994#433—111no—
995#433C2×D1111yescharacteristic, complemented
996#432—111no—
997#432—111no—
998#432—111no—
999#432—111no—
1000#428—111no—
1001#428—111no—
1002#427—111no—
1003C2×#107—111no—
1004#424—111no—
1005#424—111no—
1006#419—111no—
1007#418—111no—
1008#417—111no—
1009#417—111no—
1010#416—111no—
1011#416—111no—
1012C2×#103—111no—
1013C2×#102—111no—
1014#408—111no—
1015#408—111no—
1016C4×M16—111no—
1017C2×#97—111no—
1018C22×C11—21no—
1019C22×C11—21no—
1020C22×C11—21no—
1021C22×C11—41no—
1022C22×C11—41no—
1023C22×C11—41no—
1024C22×C11—41no—
1025C22×C11—41no—
1026C22×C11—41no—
1027C22×C11C23×D411yescharacteristic
1028C2×D11—21no—
1029C2×D11—21no—
1030C2×D11—21no—
1031C2×D11—21no—
1032C2×D11—22no—
1033C2×D11—21no—
1034C2×D11—41no—
1035C2×D11—41no—
1036C2×D11—41no—
1037C2×D11—41no—
1038C2×D11—41no—
1039C2×D11—84no—
1040C2×D11#52512yes—
1041C4×C11—21no—
1042C4×C11—21no—
1043C4×C11—21no—
1044C4×C11—21no—
1045C4×C11—22no—
1046C4×C11—22no—
1047C4×C11—21no—
1048C4×C11—41no—
1049C4×C11—41no—
1050C4×C11—41no—
1051C4×C11—41no—
1052C4×C11C22×#4111yescharacteristic
1053C4×C11C22×#4111yescharacteristic
1054Dic11—21no—
1055Dic11—21no—
1056Dic11—21no—
1057Dic11—21no—
1058Dic11—21no—
1059Dic11—22no—
1060Dic11—41no—
1061Dic11—41no—
1062Dic11—41no—
1063Dic11—41no—
1064Dic11—41no—
1065Dic11#52512yes—
10662−1+4—224no—
10672−1+4—224no—
1068C2×#41—111no—
1069C2×#41—111no—
1070C2×#41—111no—
1071C2×#41—111no—
1072C2×#41—111no—
1073C2×#41—221no—
1074C2×#41—221no—
1075C2×#41—221no—
1076C2×#41—221no—
1077C2×#41—221no—
1078C22×Q8—111no—
1079C22×Q8—111no—
1080C22×Q8—221no—
1081C22×Q8C22×D1111yescharacteristic
1082C22×D4—111no—
1083C23×C4—221no—
1084#137—224no—
1085AGL(1,ℤ/8)—224no—
1086#135—224no—
1087C2×Q16—111no—
1088C2×Q16—111no—
1089C2×Q16—111no—
1090C2×SD16—111no—
1091C2×SD16—111no—
1092C2×SD16—111no—
1093C2×SD16—111no—
1094C2×SD16—111no—
1095C2×SD16—111no—
1096C2×SD16—224no—
1097C2×SD16C22×D1111yescharacteristic
1098C2×SD16C22×D1111yescharacteristic
1099C2×SD16C22×D1111yescharacteristic
1100C2×SD16C22×D1111yescharacteristic
1101C2×D8—111no—
1102C2×D8—111no—
1103C2×D8—111no—
1104C2×M16—111no—
1105C2×M16—111no—
1106C22×C8—111no—
1107C22×C8—111no—
1108C4⋊Q8—111no—
1109C4⋊Q8—111no—
1110C4⋊Q8—221no—
1111#127—111no—
1112#127—221no—
1113#127C22×D1111yescharacteristic
1114#126—221no—
1115#126—221no—
1116#126—221no—
1117#126—221no—
1118#125—111no—
1119#125—221no—
1120#125C22×D1111yescharacteristic
1121#124—111no—
1122#124—111no—
1123#124—221no—
1124#124—221no—
1125#124—221no—
1126#124—221no—
1127#124—221no—
1128#123—21no—
1129#123—21no—
1130#123—221no—
1131#123—221no—
1132#123—221no—
1133#123—221no—
1134#123—221no—
1135#123—221no—
1136C22⋊Q8—111no—
1137C22⋊Q8—111no—
1138C22⋊Q8—221no—
1139C22⋊Q8—221no—
1140C22⋊Q8—221no—
1141C22⋊Q8—221no—
1142C22⋊Q8—221no—
1143#121—21no—
1144#121—21no—
1145#121—111no—
1146#121—111no—
1147#121—111no—
1148#121—111no—
1149#121—221no—
1150#121—221no—
1151#121—221no—
1152#121—221no—
1153#121—221no—
1154#121—221no—
1155#121—221no—
1156#121—221no—
1157#121—221no—
1158#121C22×D1111yescharacteristic
1159#121C22×D1111yescharacteristic
1160#120—221no—
1161#120—221no—
1162#120—221no—
1163#120—221no—
1164C4×Q8—21no—
1165C4×Q8—21no—
1166C4×Q8—111no—
1167C4×Q8—111no—
1168C4×Q8—111no—
1169C4×Q8—111no—
1170C4×Q8—111no—
1171C4×Q8—111no—
1172C4×Q8—111no—
1173C4×Q8—111no—
1174C4×Q8—111no—
1175C4×Q8—111no—
1176C4×Q8—111no—
1177C4×Q8—111no—
1178C4×Q8—221no—
1179C4×Q8—221no—
1180C4×Q8—221no—
1181C4×Q8—221no—
1182C4×Q8—221no—
1183C4×Q8—221no—
1184C4×Q8—221no—
1185C4×Q8—221no—
1186C4×Q8—221no—
1187C4×Q8—221no—
1188C4×Q8—221no—
1189C4×Q8C22×D1111yescharacteristic
1190C4×Q8C22×D1111yescharacteristic
1191C4×Q8C22×D1111yescharacteristic
1192C4×Q8C22×D1111yescharacteristic
1193C4×D4—111no—
1194C4×D4—111no—
1195C4×D4—111no—
1196C4×D4—111no—
1197C4×D4—111no—
1198C4×D4—111no—
1199C4×D4—111no—
1200C4×D4—111no—
1201C4×D4—111no—
1202C4×D4—111no—
1203C4×D4—111no—
1204C4×D4—111no—
1205C4×D4—111no—
1206C4×D4—111no—
1207C4×D4—221no—
1208C4×D4—221no—
1209C4×D4—221no—
1210C4×D4—221no—
1211C4×D4—221no—
1212C4×D4—221no—
1213C4×D4—221no—
1214C4×D4—221no—
1215C4×D4—221no—
1216C4×D4—221no—
1217C4×D4—221no—
1218C4×D4—221no—
1219C4×D4—221no—
1220C4×D4—221no—
1221C4×D4—221no—
1222C4×D4—221no—
1223C4×D4—221no—
1224C4×D4—221no—
1225C4×D4—221no—
1226C4×D4—221no—
1227C4×D4—221no—
1228C4×D4—221no—
1229C4×D4—221no—
1230C4×D4C22×D1111yescharacteristic
1231C4×D4C22×D1111yescharacteristic
1232#117—21no—
1233#117—21no—
1234#117—111no—
1235#117—111no—
1236#117—111no—
1237#117—111no—
1238#117—111no—
1239#117—221no—
1240#117—221no—
1241#117—221no—
1242#117—221no—
1243#117—221no—
1244#117—221no—
1245#117—221no—
1246#117—221no—
1247#117—221no—
1248#117—221no—
1249#117—221no—
1250#117—221no—
1251#117—221no—
1252#117C22×D1111yescharacteristic
1253#117C22×D1111yescharacteristic
1254C2×C4⋊C4—111no—
1255C2×C4⋊C4—111no—
1256C2×C4⋊C4—111no—
1257C2×C4⋊C4—111no—
1258C2×C4⋊C4—221no—
1259C2×C4⋊C4—221no—
1260C2×C4⋊C4—221no—
1261C2×C4⋊C4—221no—
1262C2×C4⋊C4—221no—
1263C2×C4⋊C4—221no—
1264C2×C22⋊C4—221no—
1265C2×C42—111no—
1266C2×C42—111no—
1267C2×C42—111no—
1268C2×C42—221no—
1269C2×C42—221no—
1270C2×C42—221no—
1271C2×C42—221no—
1272C2×C42—221no—
1273C2×C42—221no—
1274C2×C42—221no—
1275#107—111no—
1276#107—111no—
1277#107—111no—
1278#107—111no—
1279#107—111no—
1280#107—111no—
1281#107—111no—
1282#107—111no—
1283#107C22×D1111yescharacteristic
1284#107C22×D1111yescharacteristic
1285#106—111no—
1286#106—111no—
1287#106—111no—
1288#106—111no—
1289#106C22×D1111yescharacteristic
1290#106C22×D1111yescharacteristic
1291C4⋊C8—111no—
1292C4⋊C8—111no—
1293C4⋊C8—111no—
1294C4⋊C8—111no—
1295C4⋊C8—111no—
1296C4⋊C8—111no—
1297C4⋊C8C22×D1111yescharacteristic
1298C4⋊C8C22×D1111yescharacteristic
1299#103—111no—
1300#103—111no—
1301#103—111no—
1302#103—111no—
1303#103—111no—
1304#103—111no—
1305#103—111no—
1306#103—111no—
1307#103—111no—
1308#103—111no—
1309#103—111no—
1310#103—111no—
1311#103C22×D1111yescharacteristic
1312#103C22×D1111yescharacteristic
1313#103C22×D1111yescharacteristic
1314#103C22×D1111yescharacteristic
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#102—111no—
1326#102—111no—
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—
1337C22⋊C8C22×D1111yescharacteristic
1338C22⋊C8C22×D1111yescharacteristic
1339#97—111no—
1340#97—111no—
1341#97—111no—
1342#97—111no—
1343#97—111no—
1344#97C22×D1111yescharacteristic
1345C4×C8—111no—
1346C4×C8C22×D1111yescharacteristic
1347C2×C11—41no—
1348C2×C11—81no—
1349C2×C11—81no—
1350C2×C11C2×#52511yescharacteristic
1351C2×C11#358511yescharacteristic
1352C2×C11#358611yescharacteristic
1353D11—22no—
1354D11—41no—
1355D11—42no—
1356D11—81no—
1357C24—221no—
1358#41—114no—
1359#41—222no—
1360#41—222no—
1361#41—222no—
1362#41—222no—
1363#41—228no—
1364#41—228no—
1365#41—222no—
1366#41—222no—
1367#41—222no—
1368#41—222no—
1369#41—228no—
1370#41—222no—
1371#41—882no—
1372#41—882no—
1373C2×Q8—22no—
1374C2×Q8—22no—
1375C2×Q8—21no—
1376C2×Q8—111no—
1377C2×Q8—114no—
1378C2×Q8—111no—
1379C2×Q8—111no—
1380C2×Q8—221no—
1381C2×Q8—221no—
1382C2×Q8—221no—
1383C2×Q8—222no—
1384C2×Q8—222no—
1385C2×Q8—228no—
1386C2×Q8—222no—
1387C2×Q8—221no—
1388C2×Q8C23×D1111yescharacteristic
1389C2×Q8C23×D1111yescharacteristic
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—111no—
1395C2×D4—111no—
1396C2×D4—111no—
1397C2×D4—111no—
1398C2×D4—111no—
1399C2×D4—221no—
1400C2×D4—221no—
1401C2×D4—221no—
1402C2×D4—222no—
1403C2×D4—222no—
1404C2×D4—221no—
1405C2×D4—221no—
1406C2×D4—221no—
1407C2×D4—221no—
1408C2×D4—221no—
1409C2×D4—221no—
1410C2×D4—221no—
1411C2×D4—221no—
1412C2×D4C23×D1111yescharacteristic
1413C2×D4C23×D1111yescharacteristic
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—111no—
1418C22×C4—111no—
1419C22×C4—111no—
1420C22×C4—111no—
1421C22×C4—111no—
1422C22×C4—111no—
1423C22×C4—111no—
1424C22×C4—111no—
1425C22×C4—221no—
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×C4—882no—
1444C22×C4C23×D1111yescharacteristic
1445Q16—222no—
1446Q16—222no—
1447Q16—222no—
1448SD16—22no—
1449SD16—22no—
1450SD16—22no—
1451SD16—22no—
1452SD16—222no—
1453SD16—222no—
1454SD16—222no—
1455SD16—222no—
1456SD16—222no—
1457SD16—222no—
1458D8—222no—
1459D8—222no—
1460D8—222no—
1461M16—222no—
1462M16—222no—
1463C2×C8—111no—
1464C2×C8—111no—
1465C2×C8—111no—
1466C2×C8—111no—
1467C2×C8—222no—
1468C2×C8—222no—
1469C2×C8C23×D1111yescharacteristic
1470C2×C8C23×D1111yescharacteristic
1471C2×C8C23×D1111yescharacteristic
1472C2×C8C23×D1111yescharacteristic
1473C4⋊C4—21no—
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—221no—
1488C4⋊C4—221no—
1489C4⋊C4—221no—
1490C4⋊C4—221no—
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⋊C4—221no—
1505C4⋊C4—221no—
1506C4⋊C4—221no—
1507C4⋊C4D4×D1111yescharacteristic
1508C4⋊C4D4×D1111yescharacteristic
1509C4⋊C4C23×D1111yescharacteristic
1510C4⋊C4C23×D1111yescharacteristic
1511C4⋊C4C23×D1111yescharacteristic
1512C4⋊C4C23×D1111yescharacteristic
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—111no—
1519C22⋊C4—111no—
1520C22⋊C4—111no—
1521C22⋊C4—111no—
1522C22⋊C4—221no—
1523C22⋊C4—221no—
1524C22⋊C4—221no—
1525C22⋊C4—221no—
1526C22⋊C4—221no—
1527C22⋊C4—221no—
1528C22⋊C4—221no—
1529C22⋊C4—221no—
1530C22⋊C4—221no—
1531C22⋊C4—221no—
1532C22⋊C4—221no—
1533C22⋊C4—221no—
1534C22⋊C4—221no—
1535C22⋊C4—221no—
1536C22⋊C4—221no—
1537C22⋊C4—221no—
1538C22⋊C4—221no—
1539C22⋊C4—221no—
1540C22⋊C4—221no—
1541C22⋊C4—221no—
1542C22⋊C4—221no—
1543C22⋊C4D4×D1111yescharacteristic
1544C22⋊C4D4×D1111yescharacteristic
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—21no—
1549C42—21no—
1550C42—111no—
1551C42—111no—
1552C42—111no—
1553C42—111no—
1554C42—111no—
1555C42—111no—
1556C42—111no—
1557C42—111no—
1558C42—221no—
1559C42—221no—
1560C42—221no—
1561C42—221no—
1562C42—221no—
1563C42—221no—
1564C42—221no—
1565C42—221no—
1566C42—221no—
1567C42—221no—
1568C42—221no—
1569C42—221no—
1570C42—221no—
1571C42C23×D1111yescharacteristic
1572C42C23×D1111yescharacteristic
1573C11#6057611yescharacteristic, complemented, Sylow
1574C23—21no—
1575C23—21no—
1576C23—111no—
1577C23—111no—
1578C23—221no—
1579C23—221no—
1580C23—442no—
1581C23—881no—
1582C23—881no—
1583C23C2×D4×D1111yescharacteristic
1584Q8—24no—
1585Q8—21no—
1586Q8—21no—
1587Q8—112no—
1588Q8—224no—
1589Q8—222no—
1590Q8—224no—
1591Q8—221no—
1592Q8—221no—
1593Q8—221no—
1594Q8—881no—
1595Q8—881no—
1596Q8#41×D1112yes—
1597Q8#41×D1112yes—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—81no—
1603D4—81no—
1604D4—81no—
1605D4—81no—
1606D4—112no—
1607D4—222no—
1608D4—224no—
1609D4—224no—
1610D4—222no—
1611D4—222no—
1612D4—224no—
1613D4—221no—
1614D4—221no—
1615D4—221no—
1616D4—442no—
1617D4—442no—
1618D4—881no—
1619D4—881no—
1620D4—881no—
1621D4—881no—
1622D4—881no—
1623D4—881no—
1624C2×C4—24no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—81no—
1634C2×C4—81no—
1635C2×C4—111no—
1636C2×C4—112no—
1637C2×C4—112no—
1638C2×C4—111no—
1639C2×C4—111no—
1640C2×C4—111no—
1641C2×C4—111no—
1642C2×C4—111no—
1643C2×C4—224no—
1644C2×C4—224no—
1645C2×C4—224no—
1646C2×C4—224no—
1647C2×C4—224no—
1648C2×C4—221no—
1649C2×C4—221no—
1650C2×C4—221no—
1651C2×C4—221no—
1652C2×C4—221no—
1653C2×C4—221no—
1654C2×C4—221no—
1655C2×C4—221no—
1656C2×C4—441no—
1657C2×C4—441no—
1658C2×C4—441no—
1659C2×C4—441no—
1660C2×C4—442no—
1661C2×C4—442no—
1662C2×C4—442no—
1663C2×C4—441no—
1664C2×C4—441no—
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×C4C2×D4×D1111yescharacteristic
1676C2×C4C2×D4×D1111yescharacteristic
1677C2×C4C2×D4×D1111yescharacteristic
1678C2×C4C2×D4×D1111yescharacteristic
1679C2×C4C2×D4×D1111yescharacteristic
1680C2×C4C24×D1111yescharacteristic
1681C8—21no—
1682C8—21no—
1683C8—21no—
1684C8—21no—
1685C8—221no—
1686C8—221no—
1687C8—221no—
1688C8—221no—
1689C22—21no—
1690C22—21no—
1691C22—21no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—112no—
1699C22—221no—
1700C22—221no—
1701C22—221no—
1702C22—221no—
1703C22—222no—
1704C22—221no—
1705C22—441no—
1706C22—441no—
1707C22—441no—
1708C22—441no—
1709C22—441no—
1710C22—884no—
1711C22C22×D4×D1111yescharacteristic
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—21no—
1716C4—22no—
1717C4—22no—
1718C4—21no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—112no—
1724C4—221no—
1725C4—221no—
1726C4—221no—
1727C4—221no—
1728C4—221no—
1729C4—222no—
1730C4—441no—
1731C4—441no—
1732C4—441no—
1733C4—441no—
1734C4—441no—
1735C4C2×#41×D1111yescharacteristic
1736C4C2×#41×D1111yescharacteristic
1737C2—41no—
1738C2—81no—
1739C2—81no—
1740C2—222no—
1741C2—441no—
1742C2—442no—
1743C2—881no—
1744C2D11×#52511yescharacteristic
1745C2#1308339411yescharacteristic
1746C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3126C2
socleC22×C11C23×D4
hypercenter#3126D11
hypocenterC11#60576
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3126

Complements

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

NH ≅ G/Ntype
1. #13082031C2semidirect
2. #13081825C2semidirect
3. #13078906C2semidirect
4. #13078880C2semidirect
5. #13078876C2semidirect
6. #13078845C2semidirect
7. #13078841C2semidirect
8. #13078821C2semidirect
9. #13078809C2semidirect
10. #13078792C2semidirect
11. #13078782C2semidirect
12. #13078766C2semidirect
13. #13078762C2semidirect
14. #13078737C2semidirect
15. #13078733C2semidirect
16. #13078732C2semidirect
17. #13078720C2semidirect
18. #13078591C2semidirect
19. #13078571C2semidirect
20. #13078470C2semidirect
21. #13078457C2semidirect
22. #13078152C2semidirect
23. #13078132C2semidirect
24. #13077926C2semidirect
25. #13077897C2semidirect
26. C4×#66968C2semidirect
27. C4×#66967C2semidirect
28. #13077411C2semidirect
29. D11×#440C2semidirect
30. #13077264C2semidirect
31. C11×#3126C2semidirect
34. C11×#519C22semidirect
35. C2×Q8×Dic11C22semidirect
58. #10623105C22semidirect
61. C4×#4343C22semidirect
64. #10623103C22semidirect
67. C4×Q8×D11C22semidirect
76. #10623054C22semidirect
80. #10623053C22semidirect
82. C11×#482C22semidirect
83. C11×#479C22semidirect
84. C11×#479C22semidirect
88. C11×#448C22semidirect
90. C11×#440C22semidirect
92. C4×C11×SD16C22semidirect
93. C11×#433C22semidirect
94. #10622841C22semidirect
97. #10622785C22semidirect
99. #10622783C22semidirect
104. #10622777C22semidirect
105. #10622777C22semidirect
110. #10622679C22semidirect
111. #10622676C22semidirect
113. #10622650C22semidirect
115. #10622646C22semidirect
116. #10622643C22semidirect
117. C4×#4326C22semidirect
122. #10622634C22semidirect
123. #10622633C22semidirect
125. C4×#4324C22semidirect
126. #10622627C22semidirect
129. #10622613C22semidirect
130. #10622609C22semidirect
131. #10622503C22semidirect
133. #10622502C22semidirect
135. #10622497C22semidirect
138. #10622490C22semidirect
139. #10622484C22semidirect
141. #10622480C22semidirect
145. #10622467C22semidirect
146. #10622466C22semidirect
147. #10622463C22semidirect
148. #10622459C22semidirect
153. #10622448C22semidirect
154. #10622448C22semidirect
158. #10622423C22semidirect
159. #10622421C22semidirect
165. #10622409C22semidirect
166. #10622409C22semidirect
167. #10622407C22semidirect
168. #10622407C22semidirect
169. #10622402C22semidirect
170. #10622402C22semidirect
174. #10622398C22semidirect
176. #10622397C22semidirect
178. #10622387C22semidirect
186. #10622370C22semidirect
189. #10622346C22semidirect
192. #10622335C22semidirect
193. #10622332C22semidirect
194. #10622332C22semidirect
196. #10622323C22semidirect
197. #10622322C22semidirect
199. C4×Dic44C22semidirect
201. #10622303C22semidirect
521. #4343#41semidirect
526. Q8×D11#41semidirect
704. #3126D11semidirect
882. #519C2×D11semidirect
905. #482C2×D11semidirect
916. #479C2×D11semidirect
917. #479C2×D11semidirect
959. #448C2×D11semidirect
983. #440C2×D11semidirect
989. C4×SD16C2×D11semidirect
995. #433C2×D11semidirect
1573. C11#60576semidirect

Maximal subgroups

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

subgroupindex
#130820312
#130818252
#130789062
#130788802
#130788762
#130788452
#130788412
#130788212
#130788092
#130787922
#130787822
#130787662
#130787622
#130787372
#130787332
#130787322
#130787202
#130785912
#130785712
#130784702
#130784572
#130781522
#130781322
#130779262
#130778972
C4×#669682
C4×#669672
#130774112
D11×#4402
#130772642
C11×#31262
#6057611