Finite Group Databasebeta

← #25982323

Subgroups — #25982323

Order 11008.

2044 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148882C211yesmaximal, characteristic, complemented
2#19148248C211yesmaximal, characteristic, complemented
3#19146931C211yesmaximal, characteristic, complemented
4#19146842C211yesmaximal, characteristic, complemented
5#19146720C211yesmaximal, characteristic, complemented
6#19146707C211yesmaximal, characteristic, complemented
7#19146664C211yesmaximal, characteristic, complemented
8#19146530C211yesmaximal, characteristic, complemented
9#19146479C211yesmaximal, characteristic, complemented
10#19146333C211yesmaximal, characteristic, complemented
11#19146328C211yesmaximal, characteristic, complemented
12#19146261C211yesmaximal, characteristic, complemented
13#19146245C211yesmaximal, characteristic, complemented
14#19146187C211yesmaximal, characteristic, complemented
15#19146178C211yesmaximal, characteristic, complemented
16#19146170C211yesmaximal, characteristic, complemented
17#19146152C211yesmaximal, characteristic, complemented
18#19145686C211yesmaximal, characteristic, complemented
19#19145668C211yesmaximal, characteristic, complemented
20#19145469C211yesmaximal, characteristic, complemented
21#19145440C211yesmaximal, characteristic, complemented
22#19145431C211yesmaximal, characteristic, complemented
23#19145375C211yesmaximal, characteristic, complemented
24#19144897C211yesmaximal, characteristic, complemented
25#19144822C211yesmaximal, characteristic, complemented
26#19143908C211yesmaximal, characteristic, complemented
27#19143893C211yesmaximal, characteristic, complemented
28#19143856C211yesmaximal, characteristic, complemented
29#19143810C211yesmaximal, characteristic, complemented
30#19143642C211yesmaximal, characteristic, complemented
31C43×#3309C211yesmaximal, characteristic, complemented
32C2×#13063372C2211yescharacteristic
33C2×#41×D43C2211yescharacteristic
34C2×#13063358C2211yescharacteristic
35C2×#13063355C2211yescharacteristic
36C2×#13063355C2211yescharacteristic, complemented
37C2×#13063354C2211yescharacteristic, complemented
38C2×#13063346C2211yescharacteristic
39C2×#13063344C2211yescharacteristic
40C2×#13063344C2211yescharacteristic, complemented
41C22×Dic172C2211yescharacteristic, complemented
42#14583651—21no—
43#14583646—21no—
44#14583617C2211yescharacteristic, complemented
45#14583606—21no—
46#14583604C2211yescharacteristic, complemented
47#14583601—21no—
48#14583587C2211yescharacteristic, complemented
49#14583569—21no—
50#14583569C2211yescharacteristic
51#14583568C2211yescharacteristic
52#14583567—21no—
53#14583567C2211yescharacteristic
54D4×Dic86C2211yescharacteristic, complemented
55#14583561C2211yescharacteristic
56#14583558—21no—
57#14583558C2211yescharacteristic
58#14583556C2211yescharacteristic
59#14583555—21no—
60#14583555C2211yescharacteristic
61#14583555C2211yescharacteristic, complemented
62#14583555C2211yescharacteristic, complemented
63#14583553C2211yescharacteristic, complemented
64#14583515—21no—
65#14583514C2211yescharacteristic
66#14583512C2211yescharacteristic
67#14583493—21no—
68#14583486—21no—
69#14583482—21no—
70#14583478C2211yescharacteristic
71#14583475C2211yescharacteristic
72#14583465—21no—
73#14583465C2211yescharacteristic
74#14583462—21no—
75#14583462C2211yescharacteristic
76#14583409—21no—
77#14583409C2211yescharacteristic
78#14583409C2211yescharacteristic
79#14583408—21no—
80#14583408C2211yescharacteristic
81C2×#13063305C2211yescharacteristic
82#14583375C2211yescharacteristic
83#14583293C2211yescharacteristic, complemented
84#14583287C2211yescharacteristic, complemented
85#14583282C2211yescharacteristic, complemented
86#14583271C2211yescharacteristic, complemented
87#14583257C2211yescharacteristic, complemented
88#14583256C2211yescharacteristic, complemented
89#14583244C2211yescharacteristic, complemented
90#14583243C2211yescharacteristic
91#14583243C2211yescharacteristic, complemented
92#14583242C2211yescharacteristic
93#14583242C2211yescharacteristic
94#14583229C2211yescharacteristic, complemented
95#14583223C2211yescharacteristic, complemented
96#14583222C2211yescharacteristic
97#14583222C2211yescharacteristic, complemented
98#14583216C2211yescharacteristic, complemented
99#14583214C2211yescharacteristic, complemented
100#14583203C2211yescharacteristic, complemented
101#14583193C2211yescharacteristic, complemented
102#14583182C2211yescharacteristic, complemented
103#14583157C2211yescharacteristic, complemented
104#14583150C2211yescharacteristic, complemented
105#14583146C2211yescharacteristic, complemented
106#14583144C2211yescharacteristic, complemented
107#14583143C2211yescharacteristic, complemented
108#14583143C2211yescharacteristic, complemented
109#14583143C2211yescharacteristic, complemented
110#14583141C2211yescharacteristic, complemented
111#14583141C2211yescharacteristic, complemented
112#14583129C2211yescharacteristic, complemented
113#14583128C2211yescharacteristic, complemented
114#14583127C2211yescharacteristic, complemented
115#14583127C2211yescharacteristic, complemented
116#14583127C2211yescharacteristic, complemented
117#14583122C2211yescharacteristic, complemented
118#14583120C2211yescharacteristic, complemented
119#14583120C2211yescharacteristic, complemented
120#14583120C2211yescharacteristic, complemented
121#14583119C2211yescharacteristic, complemented
122#14583114C2211yescharacteristic, complemented
123#14583110C2211yescharacteristic, complemented
124#14583109C2211yescharacteristic, complemented
125#14583098C2211yescharacteristic, complemented
126#14583098C2211yescharacteristic, complemented
127#14583096C2211yescharacteristic, complemented
128#14583064C2211yescharacteristic
129#14583064C2211yescharacteristic
130#14583063C2211yescharacteristic
131#14583062C2211yescharacteristic
132#14583062C2211yescharacteristic
133#14583062C2211yescharacteristic
134#14583062C2211yescharacteristic
135#14583062C2211yescharacteristic
136#14583062C2211yescharacteristic, complemented
137#14583062C2211yescharacteristic, complemented
138#14583062C2211yescharacteristic, complemented
139#14583061C2211yescharacteristic
140#14583061C2211yescharacteristic, complemented
141#14583057C2211yescharacteristic, complemented
142#14583057C2211yescharacteristic, complemented
143#14583056C2211yescharacteristic
144#14583056C2211yescharacteristic
145#14583056C2211yescharacteristic
146#14583056C2211yescharacteristic, complemented
147#14583056C2211yescharacteristic, complemented
148#14583051C2211yescharacteristic
149#14583051C2211yescharacteristic
150#14583051C2211yescharacteristic
151#14583045C2211yescharacteristic, complemented
152#14583042C2211yescharacteristic
153#14583041C2211yescharacteristic
154#14583041C2211yescharacteristic, complemented
155#14583041C2211yescharacteristic, complemented
156#14583040C2211yescharacteristic, complemented
157#14583037C2211yescharacteristic, complemented
158#14583037C2211yescharacteristic, complemented
159#14583037C2211yescharacteristic, complemented
160#14583036C2211yescharacteristic
161#14583031C2211yescharacteristic
162#14583007C2211yescharacteristic, complemented
163#14583005C2211yescharacteristic, complemented
164#14583003C2211yescharacteristic, complemented
165#14582993C2211yescharacteristic, complemented
166C4×#10621885C2211yescharacteristic, complemented
167#14582991C2211yescharacteristic, complemented
168C4×#10621883C2211yescharacteristic, complemented
169#14582977C2211yescharacteristic, complemented
170#14582974C2211yescharacteristic, complemented
171#14582973C2211yescharacteristic, complemented
172#14582972C2211yescharacteristic, complemented
173#14582968C2211yescharacteristic, complemented
174#14582964C2211yescharacteristic, complemented
175C8×C22⋊D43C2211yescharacteristic, complemented
176#14582961C2211yescharacteristic
177#14582959C2211yescharacteristic
178#14582907C2211yescharacteristic, complemented
179#14582898C2211yescharacteristic
180#14582897C2211yescharacteristic, complemented
181#14582894C2211yescharacteristic
182#14582892C2211yescharacteristic
183#103×D43C2211yescharacteristic, complemented
184#14582865C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582862C2211yescharacteristic
187C22⋊C8×D43C2211yescharacteristic
188C43×#553C2211yescharacteristic, complemented
189C43×#550C2211yescharacteristic
190C43×#490C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic, complemented
192C43×#480C2211yescharacteristic, complemented
193C43×#479C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic, complemented
195C43×#466C2211yescharacteristic, complemented
196C43×#459C2211yescharacteristic, complemented
197C43×#449C2211yescharacteristic
198C43×#449C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic, complemented
201C43×#417C2211yescharacteristic
202C43×#416C2211yescharacteristic, complemented
203#13063372—42no—
204#13063372—42no—
205C2×#10621902C2311yescharacteristic
206C2×#10621898—21no—
207C2×#10621898—21no—
208C2×#10621898C2311yescharacteristic
209C2×#10621898C2311yescharacteristic
210C2×#10621900—21no—
211C2×#10621900—21no—
212C2×#10621900—21no—
213C2×#10621900C2311yescharacteristic
214C2×#10621900C2311yescharacteristic
215C2×#10621900C2311yescharacteristic
216C2×#10621900C2311yescharacteristic
217C2×#10621900C2311yescharacteristic
218#41×D43—42no—
219#41×D43—42no—
220C22×Dic86—21no—
221C22×Dic86C2311yescharacteristic
222C22×Dic86C2311yescharacteristic
223C22×Dic86C2311yescharacteristic
224C2×Q8×D43C2311yescharacteristic
225C2×Q8×D43C2311yescharacteristic
226C2×D4×D43—21no—
227C2×D4×D43C2311yescharacteristic
228C22×C4×D43—21no—
229C22×C4×D43C2311yescharacteristic
230#13063358—42no—
231#13063355—42no—
232#13063355—42no—
233#13063354—42no—
234#13063346—42no—
235#13063344—42no—
236#13063344—42no—
237C2×Dic172—42no—
238C2×Dic172C2311yescharacteristic
239C2×Dic172C2311yescharacteristic
240C2×Dic172C2311yescharacteristic
241C2×Dic172C2311yescharacteristic
242C2×Dic172C2311yescharacteristic
243C2×Dic172C2311yescharacteristic
244C2×#10621885C2311yescharacteristic
245C2×#10621885C2311yescharacteristic
246C2×#10621885C2311yescharacteristic
247C2×#10621873C2311yescharacteristic
248C2×#10621873C2311yescharacteristic
249C2×#10621873C2311yescharacteristic
250C2×#10621883C2311yescharacteristic
251C2×#10621883C2311yescharacteristic
252C2×#10621883C2311yescharacteristic
253C2×#10621883C2311yescharacteristic
254C2×#10621883C2311yescharacteristic
255C2×#10621883C2311yescharacteristic
256C2×#10621883C2311yescharacteristic
257C2×#10621883C2311yescharacteristic
258C2×#10621882C2311yescharacteristic
259C2×#10621877C2311yescharacteristic
260C2×#10621877C2311yescharacteristic
261C2×#10621872C2311yescharacteristic
262C2×C8×D43C2311yescharacteristic
263C2×C8×D43C2311yescharacteristic
264C2×C8×D43C2311yescharacteristic
265#13063325—21no—
266#13063325C2311yescharacteristic
267#13063324—21no—
268#13063324C2311yescharacteristic
269#13063321—21no—
270#13063321—21no—
271#13063321—21no—
272#13063321—21no—
273#13063321C2311yescharacteristic
274#13063320—21no—
275#13063320—21no—
276#13063320—21no—
277#13063319—21no—
278#13063318—21no—
279#13063318—21no—
280#13063316—21no—
281#13063316—21no—
282#13063316—21no—
283#13063315—21no—
284#13063313—21no—
285#13063313—21no—
286#13063313C2311yescharacteristic
287#13063312—21no—
288#13063312C2311yescharacteristic
289#13063312C2311yescharacteristic
290#13063311—21no—
291#13063311—21no—
292#13063311—21no—
293#13063311—21no—
294#13063311—21no—
295#13063311—21no—
296#13063311—21no—
297#13063310—21no—
298#13063310D411yescharacteristic
299#13063309—21no—
300#13063309—21no—
301#13063309—21no—
302#13063309—21no—
303#13063308—21no—
304#13063307—21no—
305#13063307—21no—
306#13063307D411yescharacteristic
307#13063305—21no—
308#13063305—21no—
309#13063305—21no—
310#13063305C2311yescharacteristic
311#13063305C2311yescharacteristic
312#13063305C2311yescharacteristic
313#13063305C2311yescharacteristic
314#13063305C2311yescharacteristic
315#13063305C2311yescharacteristic
316#13063305C2311yescharacteristic
317#13063305C2311yescharacteristic
318#13063304—21no—
319#13063304—21no—
320#13063304—21no—
321#13063304C2311yescharacteristic
322#13063304C2311yescharacteristic
323#13063304C2311yescharacteristic
324#13063303—21no—
325#13063303—21no—
326#13063303D411yescharacteristic
327#13063302—21no—
328#13063302—21no—
329#13063302—21no—
330#13063302—21no—
331#13063302—21no—
332#13063302—21no—
333#13063302D411yescharacteristic
334#13063300—21no—
335#13063300C2311yescharacteristic
336#13063299—21no—
337#13063299—21no—
338#13063299C2311yescharacteristic
339#13063298—21no—
340#13063298—21no—
341#13063298D411yescharacteristic
342#13063297—21no—
343#13063297—21no—
344#13063297—21no—
345#13063297—21no—
346#13063297—21no—
347#13063297—21no—
348#13063297—21no—
349#13063297—21no—
350#13063297—21no—
351#13063297—21no—
352#13063297D411yescharacteristic
353#13063296—21no—
354#13063296—21no—
355#13063296—21no—
356#13063296C2311yescharacteristic
357#13063296C2311yescharacteristic
358#13063296C2311yescharacteristic
359#13063295—21no—
360#13063295D411yescharacteristic
361#13063293—21no—
362#13063293—21no—
363#13063293—21no—
364#13063293—21no—
365#13063293—21no—
366#13063293D411yescharacteristic
367Q8×Dic43C2311yescharacteristic
368C4×Dic86—21no—
369C4×Dic86—21no—
370C4×Dic86C2311yescharacteristic
371C4×Dic86C2311yescharacteristic
372#13063290—21no—
373#13063290C2311yescharacteristic
374#13063290C2311yescharacteristic
375#13063290C2311yescharacteristic
376C4×D172—21no—
377C4×D172C2311yescharacteristic
378D4×Dic43—21no—
379D4×Dic43—21no—
380D4×Dic43—21no—
381D4×Dic43—21no—
382D4×Dic43—21no—
383D4×Dic43—21no—
384D4×Dic43—21no—
385C4×C22⋊D43—21no—
386C4×C22⋊D43—21no—
387C4×C22⋊D43—21no—
388C4×C22⋊D43C2311yescharacteristic
389C4×C22⋊D43C2311yescharacteristic
390(C22⋊D43)⋊C4—21no—
391(C22⋊D43)⋊C4—21no—
392(C22⋊D43)⋊C4—21no—
393(C22⋊D43)⋊C4—21no—
394#13063283—21no—
395#13063283—21no—
396#13063283C2311yescharacteristic
397#13063283C2311yescharacteristic
398#13063282—21no—
399#13063282C2311yescharacteristic
400C2×C4⋊Dic43—21no—
401C2×C4⋊Dic43—21no—
402C4⋊C4×D43C2311yescharacteristic
403C2×(C2×D43)⋊C4—21no—
404#13063258C2311yescharacteristic
405#13063258C2311yescharacteristic
406#13063257C2311yescharacteristic
407#13063256C2311yescharacteristic
408#13063256C2311yescharacteristic
409C4⋊(C43⋊C8)C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411Dic43⋊C8C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063250C2311yescharacteristic
415#13063250C2311yescharacteristic
416#13063250C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063248C2311yescharacteristic
425#13063248C2311yescharacteristic
426#13063248C2311yescharacteristic
427#13063247C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063245C2311yescharacteristic
432#13063245C2311yescharacteristic
433#13063245C2311yescharacteristic
434C22⋊(C43⋊C8)C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436(C2×D43)⋊C8C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441(C2×D43)⋊C8C2311yescharacteristic
442(C2×D43)⋊C8C2311yescharacteristic
443(C2×D43)⋊C8C2311yescharacteristic
444#13063235C2311yescharacteristic
445C4×C43⋊C8C2311yescharacteristic
446C8×Dic43C2311yescharacteristic
447C2×#41×C43C2311yescharacteristic
448C2×#41×C43C2311yescharacteristic
449C2×SD16×C43C2311yescharacteristic
450C2×D8×C43C2311yescharacteristic
451C2×D8×C43C2311yescharacteristic
452C2×M16×C43C2311yescharacteristic
453C22×C8×C43C2311yescharacteristic
454#127×C43—21no—
455#127×C43C2311yescharacteristic
456#126×C43—21no—
457#125×C43C2311yescharacteristic
458#123×C43—21no—
459#121×C43—21no—
460#121×C43—21no—
461#121×C43—21no—
462#121×C43C2311yescharacteristic
463#121×C43C2311yescharacteristic
464#121×C43C2311yescharacteristic
465#121×C43C2311yescharacteristic
466C4×Q8×C43C2311yescharacteristic
467C4×D4×C43—21no—
468C4×D4×C43—21no—
469C4×D4×C43C2311yescharacteristic
470C4×D4×C43C2311yescharacteristic
471#117×C43C2311yescharacteristic
472C2×C4⋊C4×C43C2311yescharacteristic
473#107×C43C2311yescharacteristic
474#107×C43C2311yescharacteristic
475#106×C43C2311yescharacteristic
476C4⋊C8×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486#102×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488C22⋊C8×C43C2311yescharacteristic
489#97×C43C2311yescharacteristic
490C23×D43—21no—
491C23×D43C2×D411yescharacteristic
492#41×C43—22no—
493#41×C43—22no—
494#41×C43—41no—
495#41×C43—41no—
496C2×Q8×C43C2411yescharacteristic
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43—21no—
500C2×D4×C43—21no—
501C2×D4×C43—21no—
502C2×D4×C43—21no—
503C2×D4×C43—21no—
504C2×D4×C43—21no—
505C2×D4×C43C2×D411yescharacteristic
506C2×D4×C43C2411yescharacteristic
507C2×D4×C43C2411yescharacteristic
508C2×D4×C43C2411yescharacteristic
509C22×C4×C43—21no—
510C22×C4×C43—21no—
511C22×C4×C43—21no—
512C22×C4×C43—21no—
513C22×C4×C43C2411yescharacteristic
514C22×C4×C43C2411yescharacteristic
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
525C2×C22⋊D43—21no—
526C2×C22⋊D43—21no—
527C2×C22⋊D43—21no—
528C2×C22⋊D43C2×D411yescharacteristic
529C2×C22⋊D43C2×D411yescharacteristic
530C2×C22⋊D43C2×D411yescharacteristic
531C2×C22⋊D43C2×D411yescharacteristic
532C22×Dic43—21no—
533C22×Dic43—21no—
534C22×Dic43—21no—
535C22×Dic43—21no—
536C22×Dic43—21no—
537C22×Dic43—21no—
538C22×Dic43—21no—
539C22×Dic43—21no—
540C22×Dic43C2×D411yescharacteristic
541#10621902—22no—
542#10621902—41no—
543Q8×D43—22no—
544Q8×D43—22no—
545Q8×D43—22no—
546Q8×D43—41no—
547#10621900—22no—
548#10621900—22no—
549#10621900—41no—
550#10621900—41no—
551#10621900—41no—
552#10621900—41no—
553#10621900—41no—
554#10621900—41no—
555#10621900—41no—
556#10621900—41no—
557#10621900—44no—
558#10621900—44no—
559#10621900—44no—
560D4×D43—41no—
561D4×D43—41no—
562D4×D43—44no—
563#10621898—22no—
564#10621898—41no—
565#10621898—44no—
566#10621898—41no—
567#10621898—41no—
568#10621898—44no—
569C2×D172—21no—
570C2×D172—21no—
571C2×D172C2×D411yescharacteristic
572C2×D172C2×D411yescharacteristic
573C2×D172C2411yescharacteristic
574C2×C4×D43—21no—
575C2×C4×D43—21no—
576C2×C4×D43—21no—
577C2×C4×D43—21no—
578C2×C4×D43—21no—
579C2×C4×D43—41no—
580C2×C4×D43—41no—
581C2×C4×D43—44no—
582C2×C4×D43C2×D411yescharacteristic
583C2×C4×D43C2×D411yescharacteristic
584C2×C4×D43C2411yescharacteristic
585C2×C4×D43C2411yescharacteristic
586C2×C4×D43C2411yescharacteristic
587C2×Dic86—21no—
588C2×Dic86—22no—
589C2×Dic86—21no—
590C2×Dic86—21no—
591C2×Dic86—21no—
592C2×Dic86—21no—
593C2×Dic86—21no—
594C2×Dic86—41no—
595C2×Dic86—41no—
596C2×Dic86—41no—
597C2×Dic86—41no—
598C2×Dic86—41no—
599C2×Dic86—44no—
600C2×Dic86C2×D411yescharacteristic
601C2×Dic86C2411yescharacteristic
602C2×Dic86C2411yescharacteristic
603C2×Dic86C2411yescharacteristic
604C2×Dic86C2411yescharacteristic
605C2×Dic86C2411yescharacteristic
606SD16×C43—22no—
607D8×C43—41no—
608D8×C43—41no—
609M16×C43—41no—
610C2×C8×C43—41no—
611C2×C8×C43C2411yescharacteristic
612C2×C8×C43C2411yescharacteristic
613C2×C8×C43C2411yescharacteristic
614C2×C8×C43C2411yescharacteristic
615C4⋊C4×C43—21no—
616C4⋊C4×C43—21no—
617C4⋊C4×C43—21no—
618C4⋊C4×C43—21no—
619C4⋊C4×C43C2×D411yescharacteristic
620C4⋊C4×C43C2411yescharacteristic
621C4⋊C4×C43C2411yescharacteristic
622C4⋊C4×C43C2411yescharacteristic
623C4⋊C4×C43C2411yescharacteristic
624C22⋊C4×C43—21no—
625C22⋊C4×C43—21no—
626C22⋊C4×C43—21no—
627C22⋊C4×C43—21no—
628C22⋊C4×C43—21no—
629C22⋊C4×C43—21no—
630C22⋊C4×C43C2×D411yescharacteristic
631C22⋊C4×C43C2×D411yescharacteristic
632C42×C43—21no—
633C42×C43—21no—
634C42×C43C2411yescharacteristic
635C22⋊Dic43—21no—
636C22⋊Dic43—21no—
637C22⋊Dic43—21no—
638C22⋊Dic43—21no—
639C22⋊Dic43—21no—
640C22⋊Dic43—21no—
641C22⋊Dic43—21no—
642C22⋊Dic43—21no—
643C22⋊Dic43—21no—
644C22⋊Dic43—21no—
645C22⋊Dic43C2×D411yescharacteristic
646C22⋊Dic43C2×D411yescharacteristic
647#10621885—22no—
648#10621885—22no—
649#10621885—22no—
650#10621883—22no—
651#10621883—41no—
652#10621883—41no—
653#10621883—41no—
654#10621883—41no—
655#10621883—41no—
656#10621883—41no—
657#10621883—41no—
658#10621882—41no—
659(C2×D43)⋊C4—21no—
660(C2×D43)⋊C4—21no—
661(C2×D43)⋊C4—21no—
662(C2×D43)⋊C4—21no—
663(C2×D43)⋊C4—21no—
664(C2×D43)⋊C4—21no—
665(C2×D43)⋊C4—21no—
666(C2×D43)⋊C4—21no—
667(C2×D43)⋊C4—21no—
668(C2×D43)⋊C4—21no—
669(C2×D43)⋊C4—21no—
670(C2×D43)⋊C4—21no—
671(C2×D43)⋊C4—21no—
672(C2×D43)⋊C4—21no—
673(C2×D43)⋊C4C2×D411yescharacteristic
674(C2×D43)⋊C4C2×D411yescharacteristic
675(C2×D43)⋊C4C2×D411yescharacteristic
676(C2×D43)⋊C4C2×D411yescharacteristic
677(C2×D43)⋊C4C2×D411yescharacteristic
678(C2×D43)⋊C4C2×D411yescharacteristic
679C4⋊Dic43—21no—
680C4⋊Dic43—21no—
681C4⋊Dic43—21no—
682C4⋊Dic43—21no—
683C4⋊Dic43—21no—
684C4⋊Dic43—21no—
685C4⋊Dic43—21no—
686C4⋊Dic43—21no—
687C4⋊Dic43—21no—
688C4⋊Dic43—21no—
689C4⋊Dic43—21no—
690C4⋊Dic43C2×D411yescharacteristic
691C4⋊Dic43C2411yescharacteristic
692C4⋊Dic43C2411yescharacteristic
693Dic43⋊C4—21no—
694Dic43⋊C4—21no—
695Dic43⋊C4—21no—
696Dic43⋊C4—21no—
697Dic43⋊C4—21no—
698Dic43⋊C4—21no—
699Dic43⋊C4—21no—
700Dic43⋊C4—21no—
701Dic43⋊C4—21no—
702Dic43⋊C4—21no—
703Dic43⋊C4C2×D411yescharacteristic
704Dic43⋊C4C2×D411yescharacteristic
705Dic43⋊C4C2×D411yescharacteristic
706Dic43⋊C4C2×D411yescharacteristic
707C4×Dic43—21no—
708C4×Dic43—21no—
709C4×Dic43—21no—
710C4×Dic43—21no—
711C4×Dic43—21no—
712C4×Dic43—21no—
713C4×Dic43—21no—
714C4×Dic43—21no—
715C4×Dic43C2411yescharacteristic
716#10621877—41no—
717#10621877—41no—
718C2×C43⋊C8C2411yescharacteristic
719C2×C43⋊C8C2411yescharacteristic
720C2×C43⋊C8C2411yescharacteristic
721C2×C43⋊C8C2411yescharacteristic
722Dic172—22no—
723Dic172—22no—
724Dic172—22no—
725Dic172—41no—
726Dic172—41no—
727Dic172—41no—
728#10621873—41no—
729#10621873—41no—
730#10621873—41no—
731#10621872—41no—
732C8×D43—41no—
733C8×D43—41no—
734C8×D43—41no—
735C23×C43—21no—
736C23×C43—21no—
737C23×C43—21no—
738C23×C43C22×D411yescharacteristic
739C23×C43C22×D411yescharacteristic
740C22×D43—21no—
741C22×D43—41no—
742C22×D43—41no—
743C22×D43—41no—
744C22×D43—42no—
745C22×D43—81no—
746C22×D43—81no—
747C22×D43C22×D411yescharacteristic
748C22×D43C22×D411yescharacteristic
749C22×D43C22×D411yescharacteristic
750Q8×C43—21no—
751Q8×C43H(5,𝔽2)12yes—
752D4×C43—21no—
753D4×C43—21no—
754D4×C43—21no—
755D4×C43—21no—
756D4×C43—21no—
757D4×C43—21no—
758D4×C43—41no—
759D4×C43—42no—
760D4×C43—42no—
761D4×C43—42no—
762D4×C43—81no—
763D4×C43—81no—
764D4×C43—81no—
765D4×C43—81no—
766D4×C43—81no—
767C2×C4×C43—21no—
768C2×C4×C43—21no—
769C2×C4×C43—21no—
770C2×C4×C43—21no—
771C2×C4×C43—21no—
772C2×C4×C43—21no—
773C2×C4×C43—21no—
774C2×C4×C43—21no—
775C2×C4×C43—21no—
776C2×C4×C43—42no—
777C2×C4×C43—42no—
778C2×C4×C43—81no—
779C2×C4×C43—81no—
780C2×C4×C43C22×D411yescharacteristic
781C2×C4×C43C22×D411yescharacteristic
782C2×C4×C43C22×D411yescharacteristic
783C2×C4×C43C22×D411yescharacteristic
784C2×C4×C43C2511yescharacteristic
785C22⋊D43—41no—
786C22⋊D43—41no—
787C22⋊D43—41no—
788C22⋊D43—41no—
789C22⋊D43—42no—
790C22⋊D43—42no—
791C22⋊D43—42no—
792C22⋊D43—42no—
793C22⋊D43—42no—
794C22⋊D43—81no—
795C22⋊D43—81no—
796C22⋊D43—81no—
797C22⋊D43—81no—
798C22⋊D43—81no—
799C22⋊D43—81no—
800C22⋊D43—81no—
801C22⋊D43—81no—
802C2×Dic43—21no—
803C2×Dic43—21no—
804C2×Dic43—21no—
805C2×Dic43—21no—
806C2×Dic43—21no—
807C2×Dic43—21no—
808C2×Dic43—21no—
809C2×Dic43—41no—
810C2×Dic43—42no—
811C2×Dic43—42no—
812C2×Dic43—42no—
813C2×Dic43—42no—
814C2×Dic43—81no—
815C2×Dic43—81no—
816C2×Dic43—81no—
817C2×Dic43—81no—
818C2×Dic43C22×D411yescharacteristic
819C2×Dic43C22×D411yescharacteristic
820C2×Dic43C22×D411yescharacteristic
821C2×Dic43C22×D411yescharacteristic
822C2×Dic43C22×D411yescharacteristic
823D172—21no—
824D172—21no—
825D172—41no—
826D172—41no—
827D172—42no—
828D172—81no—
829C4×D43—24no—
830C4×D43—21no—
831C4×D43—21no—
832C4×D43—21no—
833C4×D43—21no—
834C4×D43—21no—
835C4×D43—21no—
836C4×D43—41no—
837C4×D43—41no—
838C4×D43—42no—
839C4×D43—42no—
840C4×D43—42no—
841C4×D43—81no—
842Dic86—24no—
843Dic86—21no—
844Dic86—21no—
845Dic86—21no—
846Dic86—21no—
847Dic86—21no—
848Dic86—21no—
849Dic86—21no—
850Dic86—21no—
851Dic86—21no—
852Dic86—41no—
853Dic86—42no—
854Dic86—42no—
855Dic86—81no—
856Dic86—81no—
857Dic86—81no—
858Dic86H(5,𝔽2)12yes—
859C8×C43—21no—
860C8×C43—21no—
861C8×C43—21no—
862C8×C43—21no—
863C43⋊C8—21no—
864C43⋊C8—21no—
865C43⋊C8—21no—
866C43⋊C8—21no—
867#61615—431nomaximal, Sylow
868C22×C43—21no—
869C22×C43—21no—
870C22×C43—21no—
871C22×C43—21no—
872C22×C43—21no—
873C22×C43—21no—
874C22×C43—41no—
875C22×C43—41no—
876C22×C43—41no—
877C22×C43—41no—
878C22×C43—41no—
879C22×C43—41no—
880C22×C43—41no—
881C22×C43—41no—
882C22×C43—41no—
883C22×C43C23×D411yescharacteristic
884C2×D43—21no—
885C2×D43—21no—
886C2×D43—21no—
887C2×D43—21no—
888C2×D43—21no—
889C2×D43—21no—
890C2×D43—21no—
891C2×D43—21no—
892C2×D43—21no—
893C2×D43—41no—
894C2×D43—41no—
895C2×D43—41no—
896C2×D43—82no—
897C2×D43—84no—
898C4×C43—21no—
899C4×C43—21no—
900C4×C43—22no—
901C4×C43—21no—
902C4×C43—21no—
903C4×C43—41no—
904C4×C43—41no—
905C4×C43—41no—
906C4×C43—41no—
907C4×C43C2×H(5,𝔽2)11yescharacteristic
908C4×C43C2×H(5,𝔽2)11yescharacteristic
909Dic43—21no—
910Dic43—21no—
911Dic43—21no—
912Dic43—22no—
913Dic43—21no—
914Dic43—21no—
915Dic43—41no—
916Dic43—41no—
917Dic43—41no—
918Dic43—41no—
919Dic43—41no—
920Dic43—41no—
921#3541—431no—
922#3487—431no—
923#3333—431no—
924#3326—431no—
925#3317—431no—
926#3316—431no—
927#3313—431no—
928#3309D4311yescharacteristic, complemented
929#3304—431no—
930#3300—431no—
931#3285—431no—
932#3284—431no—
933#3278—431no—
934#3277—431no—
935#3271—431no—
936#3271—431no—
937#3270—431no—
938#3269—431no—
939#3224—431no—
940#3222—431no—
941#3200—431no—
942#3198—431no—
943#3197—431no—
944#3190—431no—
945#3127—431no—
946#3121—431no—
947#3013—431no—
948#3011—431no—
949#3007—431no—
950#3002—431no—
951#2976—431no—
952C2×C43—41no—
953C2×C43—41no—
954C2×C43—81no—
955C2×C43—81no—
956C2×C43—81no—
957C2×C43#348411yescharacteristic
958C2×C43#358411yescharacteristic
959C2×C43#358611yescharacteristic
960D43—41no—
961D43—41no—
962D43—41no—
963D43—81no—
964C2×2−1+4—431no—
965C22×#41—431no—
966C2×#137—431no—
967C2×#137—431no—
968C2×#137—431no—
969C2×#137—431no—
970C2×#135—431no—
971C2×#135—431no—
972C2×#135—431no—
973C22×Q16—431no—
974#563—861no—
975#562—861no—
976#556—431no—
977#554—431no—
978#554—861no—
979#553—861no—
980#553C2×D4311yescharacteristic, complemented
981#552—431no—
982#550—431no—
983#550—431no—
984#550—431no—
985#550—861no—
986#550—861no—
987#550C2×D4311yescharacteristic
988D4×Q8—431no—
989#548—431no—
990#548—431no—
991#548—431no—
992#548—431no—
993#548—431no—
994#548—431no—
995#548—861no—
996#548—861no—
997#547—431no—
998#542—431no—
999#542—861no—
1000#541—431no—
1001#539—861no—
1002#538—861no—
1003#538—861no—
1004#537—431no—
1005#536—431no—
1006#535—431no—
1007#535—431no—
1008#535—861no—
1009#535—861no—
1010#525—431no—
1011#525—431no—
1012#525—431no—
1013#525—861no—
1014#525—861no—
1015C2×C22⋊Q8—431no—
1016#519—431no—
1017#497—431no—
1018#496—431no—
1019#495—431no—
1020#492—431no—
1021#490C2×D4311yescharacteristic, complemented
1022#489—431no—
1023#488—431no—
1024#486—431no—
1025#485—431no—
1026#485—431no—
1027#485—431no—
1028#485—431no—
1029#483—431no—
1030#482—431no—
1031#482—431no—
1032#482—431no—
1033#482C2×D4311yescharacteristic, complemented
1034#481—431no—
1035#480—431no—
1036#480C2×D4311yescharacteristic, complemented
1037#479—431no—
1038#479C2×D4311yescharacteristic, complemented
1039#477—431no—
1040#475—431no—
1041#470—431no—
1042#469—431no—
1043#469C2×D4311yescharacteristic, complemented
1044#468—431no—
1045#468—431no—
1046#468—431no—
1047#468—431no—
1048#468—431no—
1049#467—431no—
1050#467—431no—
1051#466C2×D4311yescharacteristic, complemented
1052#465—431no—
1053#465—431no—
1054#465—431no—
1055#465—431no—
1056#465—431no—
1057#464—431no—
1058#464—431no—
1059#464—431no—
1060#464—431no—
1061#464—431no—
1062#463—431no—
1063#462—431no—
1064#462—431no—
1065#460—431no—
1066#460—431no—
1067#460—431no—
1068#459C2×D4311yescharacteristic, complemented
1069#452—431no—
1070#452—431no—
1071#452—431no—
1072#452—431no—
1073#452—431no—
1074#452—431no—
1075#452—431no—
1076#452—431no—
1077#452—431no—
1078#452—431no—
1079#452—431no—
1080#452—431no—
1081#452—431no—
1082#451—431no—
1083#451—431no—
1084#451—431no—
1085#451—431no—
1086#451—431no—
1087#451—431no—
1088#451—431no—
1089#450—431no—
1090#450—431no—
1091#450—431no—
1092#449—431no—
1093#449—431no—
1094#449—431no—
1095#449—431no—
1096#449—431no—
1097#449C2×D4311yescharacteristic
1098#449C2×D4311yescharacteristic, complemented
1099#448—431no—
1100#448—431no—
1101#448—431no—
1102#448—431no—
1103#448—431no—
1104#447—431no—
1105#441—431no—
1106#441—431no—
1107#441—431no—
1108#440C2×D4311yescharacteristic, complemented
1109C4×Q16—431no—
1110C4×Q16—431no—
1111C4×Q16—431no—
1112C4×SD16—431no—
1113#436—431no—
1114#436—431no—
1115#435—431no—
1116#435—431no—
1117#435—431no—
1118#435C2×D4311yescharacteristic, complemented
1119C8×D4—431no—
1120C8×D4—431no—
1121#433—431no—
1122#433—431no—
1123#419—431no—
1124#417—431no—
1125#417—431no—
1126#417C2×D4311yescharacteristic
1127#416—431no—
1128#416—431no—
1129#416C2×D4311yescharacteristic, complemented
1130C2×#103—431no—
1131#408—431no—
1132#408—431no—
1133#407—431no—
1134C2×C22⋊C8—431no—
1135C43#6161511yescharacteristic, complemented, Sylow
11362−1+4—1722no—
11372−1+4—1722no—
1138C2×#41—431no—
1139C2×#41—431no—
1140C2×#41—431no—
1141C2×#41—431no—
1142C2×#41—431no—
1143C2×#41—431no—
1144C2×#41—431no—
1145C2×#41—431no—
1146C2×#41—861no—
1147C2×#41—861no—
1148C2×#41—861no—
1149C2×#41—861no—
1150C2×#41—861no—
1151C2×#41—1722no—
1152C2×#41—1722no—
1153C2×#41C22×D4311yescharacteristic
1154C2×#41C22×D4311yescharacteristic
1155C22×Q8—431no—
1156C22×Q8—431no—
1157C22×Q8—431no—
1158C22×Q8—431no—
1159C22×Q8—431no—
1160C22×Q8—861no—
1161C22×D4—431no—
1162C22×D4—861no—
1163C23×C4—431no—
1164C23×C4—861no—
1165#137—1722no—
1166#137—1722no—
1167#137—1722no—
1168#137—1722no—
1169#135—1722no—
1170#135—1722no—
1171#135—1722no—
1172C2×Q16—431no—
1173C2×Q16—431no—
1174C2×Q16—431no—
1175C2×Q16—431no—
1176C2×Q16—431no—
1177C2×Q16—431no—
1178C2×Q16—431no—
1179C2×Q16—431no—
1180C2×Q16—431no—
1181C2×Q16—1722no—
1182C2×SD16—431no—
1183C2×SD16—431no—
1184C2×SD16—431no—
1185C2×SD16—431no—
1186C2×SD16—431no—
1187C2×SD16—431no—
1188C2×SD16—431no—
1189C2×SD16—431no—
1190C2×SD16—431no—
1191C2×SD16—431no—
1192C2×SD16—431no—
1193C2×SD16C22×D4311yescharacteristic
1194C2×D8—431no—
1195C2×D8C22×D4311yescharacteristic
1196C2×D8C22×D4311yescharacteristic
1197C2×M16—431no—
1198C2×M16—431no—
1199C2×M16—431no—
1200C2×M16C22×D4311yescharacteristic
1201C22×C8—431no—
1202C22×C8—431no—
1203C22×C8—431no—
1204C22×C8C22×D4311yescharacteristic
1205C4⋊Q8—431no—
1206C4⋊Q8—431no—
1207C4⋊Q8—861no—
1208C4⋊Q8—861no—
1209#127—21no—
1210#127—431no—
1211#127—861no—
1212#127—861no—
1213#127—861no—
1214#127—861no—
1215#127C22×D4311yescharacteristic
1216#126—21no—
1217#126—861no—
1218#126—861no—
1219#126—861no—
1220#126—861no—
1221#126—861no—
1222#126—861no—
1223#125—861no—
1224#125—861no—
1225#125—861no—
1226#125—861no—
1227#125C22×D4311yescharacteristic
1228#124—431no—
1229#124—431no—
1230#124—431no—
1231#124—861no—
1232#124—861no—
1233#124—861no—
1234#124—861no—
1235#124—861no—
1236#124—861no—
1237#124—861no—
1238#124—861no—
1239#124—861no—
1240#124—861no—
1241#123—21no—
1242#123—431no—
1243#123—431no—
1244#123—861no—
1245#123—861no—
1246#123—861no—
1247#123—861no—
1248#123—861no—
1249#123—861no—
1250#123—861no—
1251#123—861no—
1252C22⋊Q8—431no—
1253C22⋊Q8—431no—
1254C22⋊Q8—431no—
1255C22⋊Q8—431no—
1256C22⋊Q8—431no—
1257C22⋊Q8—431no—
1258C22⋊Q8—431no—
1259C22⋊Q8—431no—
1260C22⋊Q8—431no—
1261C22⋊Q8—431no—
1262C22⋊Q8—431no—
1263C22⋊Q8—431no—
1264C22⋊Q8—431no—
1265C22⋊Q8—861no—
1266C22⋊Q8—861no—
1267C22⋊Q8—861no—
1268C22⋊Q8—861no—
1269C22⋊Q8—861no—
1270C22⋊Q8—861no—
1271C22⋊Q8—861no—
1272C22⋊Q8—861no—
1273C22⋊Q8—861no—
1274C22⋊Q8—861no—
1275C22⋊Q8—861no—
1276C22⋊Q8—861no—
1277C22⋊Q8—861no—
1278C22⋊Q8—861no—
1279#121—21no—
1280#121—21no—
1281#121—21no—
1282#121—431no—
1283#121—431no—
1284#121—431no—
1285#121—431no—
1286#121—431no—
1287#121—431no—
1288#121—431no—
1289#121—861no—
1290#121—861no—
1291#121—861no—
1292#121—861no—
1293#121—861no—
1294#121—861no—
1295#121—861no—
1296#121—861no—
1297#121—861no—
1298#121—861no—
1299#121—861no—
1300#121—861no—
1301#121—861no—
1302#121—861no—
1303#121—861no—
1304#121—861no—
1305#121—861no—
1306#121—861no—
1307#121C22×D4311yescharacteristic
1308#121C22×D4311yescharacteristic
1309#121C22×D4311yescharacteristic
1310#121C22×D4311yescharacteristic
1311#120—431no—
1312#120—431no—
1313#120—861no—
1314#120—861no—
1315#120—861no—
1316#120—861no—
1317#120—861no—
1318#120—861no—
1319C4×Q8—431no—
1320C4×Q8—431no—
1321C4×Q8—431no—
1322C4×Q8—431no—
1323C4×Q8—431no—
1324C4×Q8—431no—
1325C4×Q8—861no—
1326C4×Q8—861no—
1327C4×Q8—861no—
1328C4×Q8C22×D4311yescharacteristic
1329C4×D4—21no—
1330C4×D4—21no—
1331C4×D4—431no—
1332C4×D4—431no—
1333C4×D4—431no—
1334C4×D4—861no—
1335C4×D4—861no—
1336C4×D4—861no—
1337C4×D4—861no—
1338C4×D4—861no—
1339C4×D4—861no—
1340C4×D4—861no—
1341C4×D4—861no—
1342C4×D4—861no—
1343C4×D4—861no—
1344C4×D4—861no—
1345C4×D4—861no—
1346C4×D4—861no—
1347C4×D4—861no—
1348C4×D4—861no—
1349C4×D4C22×D4311yescharacteristic
1350C4×D4C22×D4311yescharacteristic
1351#117—431no—
1352#117—431no—
1353#117—431no—
1354#117—861no—
1355#117—861no—
1356#117—861no—
1357#117C22×D4311yescharacteristic
1358C2×C4⋊C4—431no—
1359C2×C4⋊C4—861no—
1360C2×C4⋊C4—861no—
1361C2×C4⋊C4C22×D4311yescharacteristic
1362C2×C22⋊C4—861no—
1363#107—431no—
1364#107—431no—
1365#107C22×D4311yescharacteristic
1366#107C22×D4311yescharacteristic
1367#106—431no—
1368#106—431no—
1369#106—431no—
1370#106C22×D4311yescharacteristic
1371C4⋊C8—431no—
1372C4⋊C8—431no—
1373C4⋊C8—431no—
1374C4⋊C8C22×D4311yescharacteristic
1375#103—431no—
1376#103—431no—
1377#103—431no—
1378#103—431no—
1379#103—431no—
1380#103—431no—
1381#103—431no—
1382#103—431no—
1383#103—431no—
1384#103—431no—
1385#103—431no—
1386#103—431no—
1387#103—431no—
1388#103—431no—
1389#103—431no—
1390#103C22×D4311yescharacteristic
1391#103C22×D4311yescharacteristic
1392#103C22×D4311yescharacteristic
1393#102—431no—
1394#102—431no—
1395#102—431no—
1396#102—431no—
1397#102—431no—
1398#102—431no—
1399#102—431no—
1400#102C22×D4311yescharacteristic
1401#102C22×D4311yescharacteristic
1402#102C22×D4311yescharacteristic
1403#102C22×D4311yescharacteristic
1404#102C22×D4311yescharacteristic
1405#102C22×D4311yescharacteristic
1406#102C22×D4311yescharacteristic
1407C22⋊C8—431no—
1408C22⋊C8—431no—
1409C22⋊C8—431no—
1410C22⋊C8—431no—
1411C22⋊C8—431no—
1412C22⋊C8—431no—
1413C22⋊C8—431no—
1414C22⋊C8—431no—
1415C22⋊C8—431no—
1416C22⋊C8—431no—
1417C22⋊C8C22×D4311yescharacteristic
1418C22⋊C8C22×D4311yescharacteristic
1419#97—431no—
1420#97C22×D4311yescharacteristic
1421C4×C8—431no—
1422C4×C8—431no—
1423C24—431no—
1424C24—861no—
1425#41—22no—
1426#41—22no—
1427#41—41no—
1428#41—41no—
1429#41—862no—
1430#41—862no—
1431#41—862no—
1432#41—862no—
1433#41—1721no—
1434#41—1721no—
1435#41—1721no—
1436#41—1724no—
1437#41—1724no—
1438#41—1721no—
1439#41—1721no—
1440#41—1721no—
1441#41—1721no—
1442#41—1721no—
1443#41—1721no—
1444#41—1721no—
1445#41—1721no—
1446#41—1724no—
1447#41—1721no—
1448#41—1724no—
1449#41—1724no—
1450C2×Q8—431no—
1451C2×Q8—431no—
1452C2×Q8—431no—
1453C2×Q8—431no—
1454C2×Q8—431no—
1455C2×Q8—431no—
1456C2×Q8—861no—
1457C2×Q8—861no—
1458C2×Q8—861no—
1459C2×Q8—862no—
1460C2×Q8—862no—
1461C2×Q8—862no—
1462C2×Q8—861no—
1463C2×Q8—861no—
1464C2×Q8—861no—
1465C2×Q8—862no—
1466C2×Q8—1721no—
1467C2×Q8—1721no—
1468C2×Q8—1721no—
1469C2×Q8—1721no—
1470C2×Q8—1721no—
1471C2×Q8—1724no—
1472C2×Q8—1721no—
1473C2×Q8C23×D4311yescharacteristic
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—431no—
1483C2×D4—431no—
1484C2×D4—431no—
1485C2×D4—431no—
1486C2×D4—431no—
1487C2×D4—431no—
1488C2×D4—431no—
1489C2×D4—861no—
1490C2×D4—861no—
1491C2×D4—861no—
1492C2×D4—861no—
1493C2×D4—861no—
1494C2×D4—861no—
1495C2×D4—861no—
1496C2×D4—861no—
1497C2×D4—861no—
1498C2×D4—861no—
1499C2×D4—861no—
1500C2×D4—861no—
1501C2×D4—861no—
1502C2×D4—861no—
1503C2×D4—861no—
1504C2×D4—1721no—
1505C2×D4—1721no—
1506C2×D4—1724no—
1507C2×D4D4×D4311yescharacteristic
1508C2×D4C23×D4311yescharacteristic
1509C2×D4C23×D4311yescharacteristic
1510C2×D4C23×D4311yescharacteristic
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—21no—
1514C22×C4—21no—
1515C22×C4—431no—
1516C22×C4—431no—
1517C22×C4—431no—
1518C22×C4—431no—
1519C22×C4—431no—
1520C22×C4—431no—
1521C22×C4—861no—
1522C22×C4—861no—
1523C22×C4—861no—
1524C22×C4—861no—
1525C22×C4—861no—
1526C22×C4—861no—
1527C22×C4—861no—
1528C22×C4—861no—
1529C22×C4—861no—
1530C22×C4—861no—
1531C22×C4—861no—
1532C22×C4—861no—
1533C22×C4—861no—
1534C22×C4—1721no—
1535C22×C4—1721no—
1536C22×C4—1724no—
1537C22×C4C23×D4311yescharacteristic
1538C22×C4C23×D4311yescharacteristic
1539Q16—862no—
1540Q16—862no—
1541Q16—862no—
1542Q16—862no—
1543Q16—862no—
1544Q16—862no—
1545Q16—1721no—
1546Q16—1721no—
1547Q16—1721no—
1548SD16—22no—
1549SD16—862no—
1550SD16—1721no—
1551SD16—1721no—
1552SD16—1721no—
1553SD16—1721no—
1554SD16—1721no—
1555SD16—1721no—
1556SD16—1721no—
1557SD16—1721no—
1558SD16—1721no—
1559SD16—1721no—
1560D8—41no—
1561D8—41no—
1562D8—1721no—
1563M16—41no—
1564M16—1721no—
1565M16—1721no—
1566M16—1721no—
1567C2×C8—41no—
1568C2×C8—431no—
1569C2×C8—431no—
1570C2×C8—431no—
1571C2×C8—431no—
1572C2×C8—1721no—
1573C2×C8—1721no—
1574C2×C8—1721no—
1575C2×C8C23×D4311yescharacteristic
1576C2×C8C23×D4311yescharacteristic
1577C2×C8C23×D4311yescharacteristic
1578C2×C8C23×D4311yescharacteristic
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—431no—
1584C4⋊C4—431no—
1585C4⋊C4—431no—
1586C4⋊C4—431no—
1587C4⋊C4—431no—
1588C4⋊C4—431no—
1589C4⋊C4—431no—
1590C4⋊C4—861no—
1591C4⋊C4—861no—
1592C4⋊C4—861no—
1593C4⋊C4—861no—
1594C4⋊C4—861no—
1595C4⋊C4—861no—
1596C4⋊C4—861no—
1597C4⋊C4—861no—
1598C4⋊C4—861no—
1599C4⋊C4—861no—
1600C4⋊C4—861no—
1601C4⋊C4—861no—
1602C4⋊C4—861no—
1603C4⋊C4—861no—
1604C4⋊C4—861no—
1605C4⋊C4—861no—
1606C4⋊C4—861no—
1607C4⋊C4—861no—
1608C4⋊C4—861no—
1609C4⋊C4—861no—
1610C4⋊C4—861no—
1611C4⋊C4D4×D4311yescharacteristic
1612C4⋊C4C23×D4311yescharacteristic
1613C4⋊C4C23×D4311yescharacteristic
1614C4⋊C4C23×D4311yescharacteristic
1615C4⋊C4C23×D4311yescharacteristic
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—431no—
1623C22⋊C4—431no—
1624C22⋊C4—431no—
1625C22⋊C4—431no—
1626C22⋊C4—431no—
1627C22⋊C4—431no—
1628C22⋊C4—431no—
1629C22⋊C4—431no—
1630C22⋊C4—861no—
1631C22⋊C4—861no—
1632C22⋊C4—861no—
1633C22⋊C4—861no—
1634C22⋊C4—861no—
1635C22⋊C4—861no—
1636C22⋊C4—861no—
1637C22⋊C4—861no—
1638C22⋊C4—861no—
1639C22⋊C4—861no—
1640C22⋊C4—861no—
1641C22⋊C4—861no—
1642C22⋊C4—861no—
1643C22⋊C4—861no—
1644C22⋊C4—861no—
1645C22⋊C4—861no—
1646C22⋊C4—861no—
1647C22⋊C4—861no—
1648C22⋊C4—861no—
1649C22⋊C4—861no—
1650C22⋊C4—861no—
1651C22⋊C4—861no—
1652C22⋊C4—861no—
1653C22⋊C4—861no—
1654C22⋊C4D4×D4311yescharacteristic
1655C22⋊C4D4×D4311yescharacteristic
1656C42—21no—
1657C42—21no—
1658C42—431no—
1659C42—861no—
1660C42—861no—
1661C42—861no—
1662C42—861no—
1663C42—861no—
1664C42—861no—
1665C42—861no—
1666C42—861no—
1667C42C23×D4311yescharacteristic
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—431no—
1672C23—431no—
1673C23—431no—
1674C23—861no—
1675C23—3441no—
1676C23—3441no—
1677C23—1721no—
1678C23—1721no—
1679C23—1721no—
1680C23—1722no—
1681C23C2×D4×D4311yescharacteristic
1682C23C2×D4×D4311yescharacteristic
1683Q8—21no—
1684Q8—432no—
1685Q8—864no—
1686Q8—861no—
1687Q8—861no—
1688Q8—861no—
1689Q8—861no—
1690Q8—861no—
1691Q8—861no—
1692Q8—861no—
1693Q8—861no—
1694Q8—861no—
1695Q8—3441no—
1696Q8—3441no—
1697Q8—3441no—
1698Q8—1721no—
1699Q8—1722no—
1700Q8—1722no—
1701Q8#1306337112yes—
1702D4—21no—
1703D4—21no—
1704D4—21no—
1705D4—21no—
1706D4—21no—
1707D4—21no—
1708D4—41no—
1709D4—42no—
1710D4—42no—
1711D4—42no—
1712D4—81no—
1713D4—81no—
1714D4—81no—
1715D4—81no—
1716D4—81no—
1717D4—861no—
1718D4—861no—
1719D4—3441no—
1720D4—3441no—
1721D4—3441no—
1722D4—3441no—
1723D4—3441no—
1724D4—3441no—
1725D4—3441no—
1726D4—3441no—
1727D4—3441no—
1728D4—1721no—
1729D4—1721no—
1730D4—1722no—
1731D4—1721no—
1732D4—1721no—
1733D4—1721no—
1734D4—1721no—
1735D4—1722no—
1736D4—1722no—
1737D4—1722no—
1738D4—1722no—
1739D4—1722no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—42no—
1750C2×C4—42no—
1751C2×C4—81no—
1752C2×C4—81no—
1753C2×C4—431no—
1754C2×C4—431no—
1755C2×C4—431no—
1756C2×C4—431no—
1757C2×C4—431no—
1758C2×C4—864no—
1759C2×C4—861no—
1760C2×C4—861no—
1761C2×C4—861no—
1762C2×C4—861no—
1763C2×C4—861no—
1764C2×C4—861no—
1765C2×C4—861no—
1766C2×C4—861no—
1767C2×C4—861no—
1768C2×C4—861no—
1769C2×C4—861no—
1770C2×C4—861no—
1771C2×C4—861no—
1772C2×C4—3441no—
1773C2×C4—3441no—
1774C2×C4—3441no—
1775C2×C4—3441no—
1776C2×C4—3441no—
1777C2×C4—1721no—
1778C2×C4—1721no—
1779C2×C4—1722no—
1780C2×C4—1722no—
1781C2×C4—1722no—
1782C2×C4—1721no—
1783C2×C4—1722no—
1784C2×C4—1722no—
1785C2×C4—1722no—
1786C2×C4—1722no—
1787C2×C4C2×D4×D4311yescharacteristic
1788C2×C4C2×D4×D4311yescharacteristic
1789C2×C4C2×D4×D4311yescharacteristic
1790C2×C4C2×D4×D4311yescharacteristic
1791C2×C4C24×D4311yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—861no—
1797C8—861no—
1798C8—861no—
1799C8—861no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—861no—
1816C22—861no—
1817C22—861no—
1818C22—861no—
1819C22—861no—
1820C22—861no—
1821C22—861no—
1822C22—861no—
1823C22—861no—
1824C22—3442no—
1825C22—3444no—
1826C22—1721no—
1827C22—1721no—
1828C22—1721no—
1829C22C22×D4×D4311yescharacteristic
1830C4—21no—
1831C4—21no—
1832C4—21no—
1833C4—21no—
1834C4—22no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—861no—
1840C4—861no—
1841C4—861no—
1842C4—861no—
1843C4—861no—
1844C4—862no—
1845C4—1721no—
1846C4—1721no—
1847C4—1721no—
1848C4—1721no—
1849C4—1721no—
1850C4—1721no—
1851C4H(5,𝔽2)×D4311yescharacteristic
1852C4C2×#1306337111yescharacteristic
1853C2—41no—
1854C2—41no—
1855C2—81no—
1856C2—81no—
1857C2—81no—
1858C2—3441no—
1859C2—1721no—
1860C2—1721no—
1861C2—1721no—
1862C2#1914822511yescharacteristic
1863C2#1914936311yescharacteristic
1864C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3309C2
socleC22×C43C23×D4
hypercenter#3309D43
hypocenterC43#61615
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3309

Complements

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

NH ≅ G/Ntype
1. #19148882C2semidirect
2. #19148248C2semidirect
3. #19146931C2semidirect
4. #19146842C2semidirect
5. #19146720C2semidirect
6. #19146707C2semidirect
7. #19146664C2semidirect
8. #19146530C2semidirect
9. #19146479C2semidirect
10. #19146333C2semidirect
11. #19146328C2semidirect
12. #19146261C2semidirect
13. #19146245C2semidirect
14. #19146187C2semidirect
15. #19146178C2semidirect
16. #19146170C2semidirect
17. #19146152C2semidirect
18. #19145686C2semidirect
19. #19145668C2semidirect
20. #19145469C2semidirect
21. #19145440C2semidirect
22. #19145431C2semidirect
23. #19145375C2semidirect
24. #19144897C2semidirect
25. #19144822C2semidirect
26. #19143908C2semidirect
27. #19143893C2semidirect
28. #19143856C2semidirect
29. #19143810C2semidirect
30. #19143642C2semidirect
31. C43×#3309C2semidirect
36. C2×#13063355C22semidirect
37. C2×#13063354C22semidirect
40. C2×#13063344C22semidirect
41. C22×Dic172C22semidirect
44. #14583617C22semidirect
46. #14583604C22semidirect
48. #14583587C22semidirect
54. D4×Dic86C22semidirect
61. #14583555C22semidirect
62. #14583555C22semidirect
63. #14583553C22semidirect
83. #14583293C22semidirect
84. #14583287C22semidirect
85. #14583282C22semidirect
86. #14583271C22semidirect
87. #14583257C22semidirect
88. #14583256C22semidirect
89. #14583244C22semidirect
91. #14583243C22semidirect
94. #14583229C22semidirect
95. #14583223C22semidirect
97. #14583222C22semidirect
98. #14583216C22semidirect
99. #14583214C22semidirect
100. #14583203C22semidirect
101. #14583193C22semidirect
102. #14583182C22semidirect
103. #14583157C22semidirect
104. #14583150C22semidirect
105. #14583146C22semidirect
106. #14583144C22semidirect
107. #14583143C22semidirect
108. #14583143C22semidirect
109. #14583143C22semidirect
110. #14583141C22semidirect
111. #14583141C22semidirect
112. #14583129C22semidirect
113. #14583128C22semidirect
114. #14583127C22semidirect
115. #14583127C22semidirect
116. #14583127C22semidirect
117. #14583122C22semidirect
118. #14583120C22semidirect
119. #14583120C22semidirect
120. #14583120C22semidirect
121. #14583119C22semidirect
122. #14583114C22semidirect
123. #14583110C22semidirect
124. #14583109C22semidirect
125. #14583098C22semidirect
126. #14583098C22semidirect
127. #14583096C22semidirect
136. #14583062C22semidirect
137. #14583062C22semidirect
138. #14583062C22semidirect
140. #14583061C22semidirect
141. #14583057C22semidirect
142. #14583057C22semidirect
146. #14583056C22semidirect
147. #14583056C22semidirect
151. #14583045C22semidirect
154. #14583041C22semidirect
155. #14583041C22semidirect
156. #14583040C22semidirect
157. #14583037C22semidirect
158. #14583037C22semidirect
159. #14583037C22semidirect
162. #14583007C22semidirect
163. #14583005C22semidirect
164. #14583003C22semidirect
165. #14582993C22semidirect
166. C4×#10621885C22semidirect
167. #14582991C22semidirect
168. C4×#10621883C22semidirect
169. #14582977C22semidirect
170. #14582974C22semidirect
171. #14582973C22semidirect
172. #14582972C22semidirect
173. #14582968C22semidirect
174. #14582964C22semidirect
175. C8×C22⋊D43C22semidirect
178. #14582907C22semidirect
180. #14582897C22semidirect
183. #103×D43C22semidirect
188. C43×#553C22semidirect
190. C43×#490C22semidirect
191. C43×#482C22semidirect
192. C43×#480C22semidirect
193. C43×#479C22semidirect
194. C43×#469C22semidirect
195. C43×#466C22semidirect
196. C43×#459C22semidirect
198. C43×#449C22semidirect
199. C43×#440C22semidirect
200. C43×#435C22semidirect
202. C43×#416C22semidirect
928. #3309D43semidirect
980. #553C2×D43semidirect
1021. #490C2×D43semidirect
1033. #482C2×D43semidirect
1036. #480C2×D43semidirect
1038. #479C2×D43semidirect
1043. #469C2×D43semidirect
1051. #466C2×D43semidirect
1068. #459C2×D43semidirect
1098. #449C2×D43semidirect
1108. #440C2×D43semidirect
1118. #435C2×D43semidirect
1129. #416C2×D43semidirect
1135. C43#61615semidirect

Maximal subgroups

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

subgroupindex
#191488822
#191482482
#191469312
#191468422
#191467202
#191467072
#191466642
#191465302
#191464792
#191463332
#191463282
#191462612
#191462452
#191461872
#191461782
#191461702
#191461522
#191456862
#191456682
#191454692
#191454402
#191454312
#191453752
#191448972
#191448222
#191439082
#191438932
#191438562
#191438102
#191436422
C43×#33092
#6161543