Finite Group Databasebeta

← #25993808

Subgroups — #25993808

Order 11008.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149244C211yesmaximal, characteristic, complemented
2#19148529C211yesmaximal, characteristic, complemented
3#19147556C211yesmaximal, characteristic, complemented
4#19147467C211yesmaximal, characteristic, complemented
5#19147369C211yesmaximal, characteristic, complemented
6#19147252C211yesmaximal, characteristic, complemented
7#19147188C211yesmaximal, characteristic, complemented
8#19147154C211yesmaximal, characteristic, complemented
9#19147153C211yesmaximal, characteristic, complemented
10#19147128C211yesmaximal, characteristic, complemented
11#19147028C211yesmaximal, characteristic, complemented
12#19146996C211yesmaximal, characteristic, complemented
13#19146824C211yesmaximal, characteristic, complemented
14#19146809C211yesmaximal, characteristic, complemented
15#19146795C211yesmaximal, characteristic, complemented
16#19146754C211yesmaximal, characteristic, complemented
17#19146739C211yesmaximal, characteristic, complemented
18#19146429C211yesmaximal, characteristic, complemented
19#19146058C211yesmaximal, characteristic, complemented
20#19146013C211yesmaximal, characteristic, complemented
21#19145991C211yesmaximal, characteristic, complemented
22#19145898C211yesmaximal, characteristic, complemented
23#19145847C211yesmaximal, characteristic, complemented
24#19144879C211yesmaximal, characteristic, complemented
25#19144784C211yesmaximal, characteristic, complemented
26#19144644C211yesmaximal, characteristic, complemented
27#19144443C211yesmaximal, characteristic, complemented
28#19144419C211yesmaximal, characteristic, complemented
29#19144388C211yesmaximal, characteristic, complemented
30#19143746C211yesmaximal, characteristic, complemented
31C43×#3233C211yesmaximal, characteristic, complemented
32#14583650—21no—
33#14583645—21no—
34#14583631C2211yescharacteristic
35#14583626C2211yescharacteristic, complemented
36#14583621—21no—
37#14583617C2211yescharacteristic
38#14583612C2211yescharacteristic, complemented
39#14583605C2211yescharacteristic
40#14583605C2211yescharacteristic, complemented
41#14583602C2211yescharacteristic
42#14583602C2211yescharacteristic, complemented
43#14583593—21no—
44#14583593C2211yescharacteristic
45#14583591C2211yescharacteristic
46#14583590—21no—
47#14583588C2211yescharacteristic, complemented
48#14583587C2211yescharacteristic, complemented
49#14583578—21no—
50#14583573—21no—
51#14583549C2211yescharacteristic
52#14583544—21no—
53#14583542C2211yescharacteristic
54#14583540C2211yescharacteristic
55#14583533C2211yescharacteristic
56#14583526C2211yescharacteristic, complemented
57#14583526C2211yescharacteristic, complemented
58#14583523C2211yescharacteristic, complemented
59#14583523C2211yescharacteristic, complemented
60#14583521—21no—
61#14583521C2211yescharacteristic
62#14583519—21no—
63#14583507—21no—
64#14583500C2211yescharacteristic
65#14583495—21no—
66#14583490—21no—
67#14583488—21no—
68#14583433C2211yescharacteristic
69#14583433C2211yescharacteristic, complemented
70#14583407—21no—
71#123×D43—21no—
72#14583381C2211yescharacteristic
73#14583371C2211yescharacteristic
74C2×C4×D172C2211yescharacteristic
75#14583306C2211yescharacteristic, complemented
76#14583306C2211yescharacteristic, complemented
77#14583299C2211yescharacteristic, complemented
78#14583296C2211yescharacteristic, complemented
79#14583262C2211yescharacteristic
80#14583260C2211yescharacteristic, complemented
81#14583255C2211yescharacteristic, complemented
82#14583244C2211yescharacteristic
83#14583243C2211yescharacteristic, complemented
84#14583239C2211yescharacteristic, complemented
85#14583235C2211yescharacteristic, complemented
86#14583231C2211yescharacteristic, complemented
87#14583228C2211yescharacteristic, complemented
88#14583225C2211yescharacteristic
89#14583225C2211yescharacteristic, complemented
90#14583225C2211yescharacteristic, complemented
91#14583222C2211yescharacteristic, complemented
92#14583219C2211yescharacteristic
93#14583219C2211yescharacteristic, complemented
94#14583219C2211yescharacteristic, complemented
95#14583218C2211yescharacteristic, complemented
96#14583211C2211yescharacteristic, complemented
97#14583206C2211yescharacteristic, complemented
98#14583205C2211yescharacteristic, complemented
99#14583204C2211yescharacteristic, complemented
100#14583203C2211yescharacteristic, complemented
101#14583202C2211yescharacteristic
102#14583202C2211yescharacteristic
103#14583202C2211yescharacteristic, complemented
104#14583200C2211yescharacteristic
105#14583200C2211yescharacteristic, complemented
106#14583199C2211yescharacteristic, complemented
107#14583197C2211yescharacteristic, complemented
108#14583196C2211yescharacteristic
109#14583196C2211yescharacteristic
110#14583196C2211yescharacteristic, complemented
111#14583196C2211yescharacteristic, complemented
112#14583196C2211yescharacteristic, complemented
113#14583193C2211yescharacteristic, complemented
114#14583192C2211yescharacteristic, complemented
115#14583187C2211yescharacteristic, complemented
116#14583186C2211yescharacteristic
117#14583186C2211yescharacteristic, complemented
118#14583178C2211yescharacteristic
119#14583178C2211yescharacteristic
120#14583178C2211yescharacteristic, complemented
121#14583176C2211yescharacteristic
122#14583176C2211yescharacteristic, complemented
123#14583155C2211yescharacteristic, complemented
124#14583151C2211yescharacteristic, complemented
125#14583150C2211yescharacteristic
126#14583148C2211yescharacteristic, complemented
127#14583147C2211yescharacteristic, complemented
128#14583146C2211yescharacteristic
129#14583146C2211yescharacteristic, complemented
130#14583143C2211yescharacteristic
131#14583139C2211yescharacteristic, complemented
132#14583136C2211yescharacteristic
133#14583136C2211yescharacteristic, complemented
134#14583127C2211yescharacteristic, complemented
135#14583124C2211yescharacteristic, complemented
136#14583121C2211yescharacteristic, complemented
137#14583118C2211yescharacteristic, complemented
138#14583117C2211yescharacteristic, complemented
139#14583115C2211yescharacteristic
140#14583115C2211yescharacteristic, complemented
141#14583114C2211yescharacteristic, complemented
142#14583111C2211yescharacteristic, complemented
143#14583098C2211yescharacteristic
144#14583093C2211yescharacteristic
145#14583064C2211yescharacteristic
146#14583052C2211yescharacteristic
147#14583051C2211yescharacteristic
148#14583047C2211yescharacteristic
149#14583035C2211yescharacteristic
150#14583034C2211yescharacteristic
151#14583029C2211yescharacteristic, complemented
152C8×Dic86C2211yescharacteristic, complemented
153#14583010C2211yescharacteristic
154#14583010C2211yescharacteristic
155#14583003C2211yescharacteristic, complemented
156#14582996C2211yescharacteristic, complemented
157C4×#10621873C2211yescharacteristic
158C4×#10621873C2211yescharacteristic, complemented
159#14582986C2211yescharacteristic
160#14582986C2211yescharacteristic
161#14582984C2211yescharacteristic, complemented
162C4×D344C2211yescharacteristic
163C4×D344C2211yescharacteristic, complemented
164#14582979C2211yescharacteristic, complemented
165#14582978C2211yescharacteristic, complemented
166#14582974C2211yescharacteristic
167#14582974C2211yescharacteristic, complemented
168#14582973C2211yescharacteristic
169#14582973C2211yescharacteristic, complemented
170C8×D172C2211yescharacteristic, complemented
171#14582959C2211yescharacteristic, complemented
172#14582959C2211yescharacteristic, complemented
173#14582942C2211yescharacteristic, complemented
174#14582942C2211yescharacteristic, complemented
175#14582940C2211yescharacteristic, complemented
176#14582940C2211yescharacteristic, complemented
177#14582936C2211yescharacteristic, complemented
178#107×D43C2211yescharacteristic, complemented
179#14582924C2211yescharacteristic, complemented
180#14582924C2211yescharacteristic, complemented
181#14582923C2211yescharacteristic, complemented
182#14582903C2211yescharacteristic
183#14582903C2211yescharacteristic
184#14582902C2211yescharacteristic
185#14582899C2211yescharacteristic
186#14582894C2211yescharacteristic
187#102×D43C2211yescharacteristic
188C43×#533C2211yescharacteristic, complemented
189C43×#529C2211yescharacteristic
190C43×#499C2211yescharacteristic, complemented
191C43×#499C2211yescharacteristic, complemented
192C43×#488C2211yescharacteristic, complemented
193C43×#488C2211yescharacteristic, complemented
194C43×#485C2211yescharacteristic, complemented
195C43×#485C2211yescharacteristic, complemented
196C43×#482C2211yescharacteristic
197C43×#482C2211yescharacteristic
198C43×#477C2211yescharacteristic, complemented
199C43×#476C2211yescharacteristic, complemented
200C43×#475C2211yescharacteristic, complemented
201C43×#474C2211yescharacteristic, complemented
202C43×#431C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621900—21no—
205C22×D172C2311yescharacteristic
206C2×D4×D43—21no—
207C2×D4×D43C2311yescharacteristic
208C22×C4×D43—21no—
209C2×#10621885C2311yescharacteristic
210C2×#10621873C2311yescharacteristic
211C2×#10621873C2311yescharacteristic
212C2×#10621883C2311yescharacteristic
213C2×#10621884C2311yescharacteristic
214C2×D344C2311yescharacteristic
215C2×D344C2311yescharacteristic
216C2×#10621882C2311yescharacteristic
217C2×#10621877C2311yescharacteristic
218C2×#10621877C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221C2×C8×D43C2311yescharacteristic
222C2×C8×D43C2311yescharacteristic
223#13063324—21no—
224#13063324C2311yescharacteristic
225#13063324C2311yescharacteristic
226#13063324C2311yescharacteristic
227#13063323—21no—
228#13063323—21no—
229#13063321C2311yescharacteristic
230#13063320—21no—
231#13063320—21no—
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063319—21no—
237#13063319—21no—
238#13063319—21no—
239#13063319—21no—
240#13063319D411yescharacteristic
241#13063319D411yescharacteristic
242#13063318—21no—
243#13063318—21no—
244#13063317—21no—
245#13063317D411yescharacteristic
246#13063317C2311yescharacteristic
247#13063316—21no—
248#13063316—21no—
249#13063316C2311yescharacteristic
250#13063316C2311yescharacteristic
251#13063316C2311yescharacteristic
252#13063315—21no—
253#13063315—21no—
254#13063315—21no—
255#13063315—21no—
256#13063314—21no—
257#13063314—21no—
258#13063314C2311yescharacteristic
259#13063313—21no—
260#13063313—21no—
261#13063313D411yescharacteristic
262#13063313C2311yescharacteristic
263#13063311—21no—
264#13063311—21no—
265#13063311—21no—
266#13063310—21no—
267#13063310—21no—
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063309—21no—
274#13063309—21no—
275#13063308—21no—
276#13063308—21no—
277#13063308D411yescharacteristic
278#13063308D411yescharacteristic
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307—21no—
285#13063306—21no—
286#13063305—21no—
287#13063305—21no—
288#13063305C2311yescharacteristic
289#13063305C2311yescharacteristic
290#13063304D411yescharacteristic
291#13063304C2311yescharacteristic
292#13063303—21no—
293#13063303—21no—
294#13063303—21no—
295#13063303—21no—
296#13063303—21no—
297#13063303—21no—
298#13063303—21no—
299#13063302—21no—
300#13063301—21no—
301#13063301—21no—
302#13063301—21no—
303#13063301—21no—
304#13063301C2311yescharacteristic
305#13063300—21no—
306#13063300—21no—
307#13063300—21no—
308#13063300C2311yescharacteristic
309#13063300C2311yescharacteristic
310#13063300C2311yescharacteristic
311#13063300C2311yescharacteristic
312#13063299—21no—
313#13063299D411yescharacteristic
314#13063299C2311yescharacteristic
315#13063298—21no—
316#13063298—21no—
317#13063298—21no—
318#13063298—21no—
319#13063298—21no—
320#13063296C2311yescharacteristic
321#13063295—21no—
322#13063295—21no—
323#13063295—21no—
324#13063293—21no—
325Q8×Dic43C2311yescharacteristic
326C4×Dic86—21no—
327C4×Dic86C2311yescharacteristic
328C4×Dic86C2311yescharacteristic
329#13063290—21no—
330#13063290C2311yescharacteristic
331#13063290C2311yescharacteristic
332C4×D172—21no—
333C4×D172—21no—
334C4×D172—21no—
335C4×D172—21no—
336C4×D172C2311yescharacteristic
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339C4×D172C2311yescharacteristic
340C4×D172C2311yescharacteristic
341C4×D172C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343#13063287—21no—
344#13063287—21no—
345#13063287—21no—
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43C2311yescharacteristic
353C4×C22⋊D43C2311yescharacteristic
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356#13063283—21no—
357#13063283C2311yescharacteristic
358#13063283C2311yescharacteristic
359#13063283C2311yescharacteristic
360#13063282—21no—
361#13063282—21no—
362#13063282—21no—
363#13063282—21no—
364#13063282C2311yescharacteristic
365#13063282C2311yescharacteristic
366#13063281—21no—
367C2×C4⋊Dic43C2311yescharacteristic
368C4⋊C4×D43—21no—
369C4⋊C4×D43—21no—
370C4⋊C4×D43—21no—
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C2×(C2×D43)⋊C4—21no—
375C2×(C2×D43)⋊C4—21no—
376C22⋊C4×D43—21no—
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379#13063259C2311yescharacteristic
380#13063259C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063257C2311yescharacteristic
388#13063257C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395C4⋊(C43⋊C8)C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397C4⋊(C43⋊C8)C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426#13063245C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C4⋊Q8×C43C2311yescharacteristic
436C4⋊Q8×C43C2311yescharacteristic
437#126×C43—21no—
438#125×C43C2311yescharacteristic
439#125×C43C2311yescharacteristic
440#125×C43C2311yescharacteristic
441#124×C43C2311yescharacteristic
442#123×C43—21no—
443C22⋊Q8×C43—21no—
444C22⋊Q8×C43—21no—
445C22⋊Q8×C43C2311yescharacteristic
446#121×C43C2311yescharacteristic
447C4×Q8×C43—21no—
448C4×Q8×C43—21no—
449C4×Q8×C43C2311yescharacteristic
450C4×D4×C43—21no—
451C4×D4×C43C2311yescharacteristic
452#117×C43—21no—
453#117×C43C2311yescharacteristic
454#117×C43C2311yescharacteristic
455C2×C42×C43C2311yescharacteristic
456#107×C43C2311yescharacteristic
457#107×C43C2311yescharacteristic
458#107×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#106×C43C2311yescharacteristic
461#106×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476C4×C8×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479C23×D43—21no—
480C2×Q8×C43—21no—
481C2×Q8×C43—21no—
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43—21no—
484C2×D4×C43C2411yescharacteristic
485C22×C4×C43—21no—
486C22×C4×C43C2×D411yescharacteristic
487C22×C4×C43C2×D411yescharacteristic
488C22×C4×C43C2411yescharacteristic
489C2×C22⋊D43—21no—
490C2×C22⋊D43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43C2×D411yescharacteristic
495C2×C22⋊D43C2×D411yescharacteristic
496C22×Dic43—21no—
497C22×Dic43—21no—
498#10621902—22no—
499#10621902—41no—
500#10621900—82no—
501D4×D43—22no—
502D4×D43—41no—
503D4×D43—82no—
504C2×D172—21no—
505C2×D172—21no—
506C2×D172—21no—
507C2×D172—21no—
508C2×D172—21no—
509C2×D172—21no—
510C2×D172—22no—
511C2×D172—41no—
512C2×D172C2×D411yescharacteristic
513C2×D172C2411yescharacteristic
514C2×D172C2411yescharacteristic
515C2×D172C2411yescharacteristic
516C2×C4×D43—21no—
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—82no—
530C2×C4×D43C2411yescharacteristic
531C2×C4×D43C2411yescharacteristic
532C2×Dic86—21no—
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86C2×D411yescharacteristic
536C2×Dic86C2411yescharacteristic
537C2×C8×C43C2411yescharacteristic
538C2×C8×C43C2411yescharacteristic
539C2×C8×C43C2411yescharacteristic
540C2×C8×C43C2411yescharacteristic
541C4⋊C4×C43—21no—
542C4⋊C4×C43—21no—
543C4⋊C4×C43—21no—
544C4⋊C4×C43—21no—
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43C2411yescharacteristic
552C4⋊C4×C43C2411yescharacteristic
553C4⋊C4×C43C2411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C4⋊C4×C43C2411yescharacteristic
556C4⋊C4×C43C2411yescharacteristic
557C22⋊C4×C43—21no—
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C42×C43—21no—
565C42×C43—21no—
566C42×C43—21no—
567C42×C43C2×D411yescharacteristic
568C42×C43C2×D411yescharacteristic
569C42×C43C2411yescharacteristic
570C42×C43C2411yescharacteristic
571C22⋊Dic43—21no—
572C22⋊Dic43—21no—
573C22⋊Dic43—21no—
574C22⋊Dic43C2×D411yescharacteristic
575C22⋊Dic43C2×D411yescharacteristic
576#10621885—41no—
577#10621884—41no—
578#10621883—41no—
579#10621882—41no—
580(C2×D43)⋊C4—21no—
581(C2×D43)⋊C4—21no—
582(C2×D43)⋊C4—21no—
583(C2×D43)⋊C4—21no—
584(C2×D43)⋊C4—21no—
585(C2×D43)⋊C4—21no—
586(C2×D43)⋊C4—21no—
587(C2×D43)⋊C4—21no—
588(C2×D43)⋊C4—21no—
589(C2×D43)⋊C4—21no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4C2×D411yescharacteristic
605(C2×D43)⋊C4C2×D411yescharacteristic
606(C2×D43)⋊C4C2×D411yescharacteristic
607(C2×D43)⋊C4C2×D411yescharacteristic
608(C2×D43)⋊C4C2×D411yescharacteristic
609(C2×D43)⋊C4C2×D411yescharacteristic
610(C2×D43)⋊C4C2×D411yescharacteristic
611(C2×D43)⋊C4C2×D411yescharacteristic
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43C2×D411yescharacteristic
620C4⋊Dic43C2×D411yescharacteristic
621C4⋊Dic43C2411yescharacteristic
622C4⋊Dic43C2411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4C2×D411yescharacteristic
642Dic43⋊C4C2×D411yescharacteristic
643Dic43⋊C4C2×D411yescharacteristic
644Dic43⋊C4C2×D411yescharacteristic
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43C2411yescharacteristic
657C4×Dic43C2411yescharacteristic
658#10621877—41no—
659#10621877—41no—
660C2×C43⋊C8C2411yescharacteristic
661C2×C43⋊C8C2411yescharacteristic
662C2×C43⋊C8C2411yescharacteristic
663C2×C43⋊C8C2411yescharacteristic
664D344—22no—
665D344—41no—
666#10621873—22no—
667#10621873—41no—
668#10621872—41no—
669#10621872—41no—
670C8×D43—41no—
671C8×D43—41no—
672C23×C43—21no—
673C23×C43C22×D411yescharacteristic
674C22×D43—21no—
675C22×D43—21no—
676C22×D43—21no—
677C22×D43—42no—
678C22×D43—42no—
679C22×D43—42no—
680C22×D43—81no—
681C22×D43—81no—
682C22×D43—81no—
683C22×D43C22×D411yescharacteristic
684C22×D43C22×D411yescharacteristic
685Q8×C43—21no—
686Q8×C43—21no—
687Q8×C43—81no—
688Q8×C43—81no—
689D4×C43—21no—
690D4×C43—21no—
691D4×C43—42no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—41no—
702C2×C4×C43—41no—
703C2×C4×C43—81no—
704C2×C4×C43C22×D411yescharacteristic
705C2×C4×C43C22×D411yescharacteristic
706C2×C4×C43C22×D411yescharacteristic
707C2×C4×C43C22×D411yescharacteristic
708C2×C4×C43C22×D411yescharacteristic
709C2×C4×C43C2511yescharacteristic
710C22⋊D43—41no—
711C22⋊D43—41no—
712C22⋊D43—42no—
713C22⋊D43—81no—
714C22⋊D43—81no—
715C22⋊D43—81no—
716C22⋊D43—81no—
717C2×Dic43—21no—
718C2×Dic43—21no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—42no—
723C2×Dic43—81no—
724C2×Dic43C22×D411yescharacteristic
725C2×Dic43C22×D411yescharacteristic
726C2×Dic43C22×D411yescharacteristic
727C2×Dic43C22×D411yescharacteristic
728C2×Dic43C22×D411yescharacteristic
729C2×Dic43C22×D411yescharacteristic
730D172—21no—
731D172—21no—
732D172—21no—
733D172—21no—
734D172—21no—
735D172—41no—
736D172—42no—
737D172—42no—
738D172—81no—
739D172—81no—
740D172—81no—
741D172—81no—
742D1722−1+412yes—
743C4×D43—21no—
744C4×D43—21no—
745C4×D43—21no—
746C4×D43—21no—
747C4×D43—42no—
748C4×D43—81no—
749C4×D43—81no—
750C4×D43—81no—
751C4×D43—81no—
752C4×D43—81no—
753C4×D43—81no—
754C4×D43—81no—
755C4×D43—81no—
756C4×D43—81no—
757C4×D43—81no—
758C4×D43—81no—
759C4×D43—81no—
760Dic86—21no—
761Dic86—21no—
762Dic86—41no—
763Dic86—81no—
764Dic86—81no—
765Dic86—81no—
766C8×C43—21no—
767C8×C43—21no—
768C8×C43—21no—
769C8×C43—21no—
770C43⋊C8—21no—
771C43⋊C8—21no—
772C43⋊C8—21no—
773C43⋊C8—21no—
774#62175—431nomaximal, Sylow
775C22×C43—21no—
776C22×C43—21no—
777C22×C43—21no—
778C22×C43—41no—
779C22×C43—41no—
780C22×C43—41no—
781C22×C43C23×D411yescharacteristic
782C2×D43—21no—
783C2×D43—21no—
784C2×D43—21no—
785C2×D43—21no—
786C2×D43—22no—
787C2×D43—21no—
788C2×D43—21no—
789C2×D43—41no—
790C2×D43—41no—
791C2×D43—41no—
792C2×D43—41no—
793C2×D43—41no—
794C2×D43—41no—
795C2×D43—41no—
796C2×D43—41no—
797C2×D43—84no—
798C2×D43—162no—
799C4×C43—21no—
800C4×C43—21no—
801C4×C43—21no—
802C4×C43—21no—
803C4×C43—21no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43—41no—
809C4×C43—41no—
810C4×C43—41no—
811C4×C43C2×2−1+411yescharacteristic
812C4×C43#58511yescharacteristic
813Dic43—21no—
814Dic43—21no—
815Dic43—21no—
816Dic43—21no—
817Dic43—21no—
818Dic43—21no—
819Dic43—41no—
820Dic43—41no—
821Dic43—41no—
822Dic43—41no—
823Dic43—41no—
824#3565—431no—
825#3513—431no—
826#3389—431no—
827#3381—431no—
828#3371—431no—
829#3361—431no—
830#3354—431no—
831#3351—431no—
832#3351—431no—
833#3349—431no—
834#3343—431no—
835#3339—431no—
836#3324—431no—
837#3323—431no—
838#3322—431no—
839#3319—431no—
840#3318—431no—
841#3296—431no—
842#3262—431no—
843#3257—431no—
844#3256—431no—
845#3244—431no—
846#3241—431no—
847#3233D4311yescharacteristic, complemented
848#3125—431no—
849#3118—431no—
850#3105—431no—
851#3083—431no—
852#3081—431no—
853#3077—431no—
854#2993—431no—
855C2×C43—41no—
856C2×C43—81no—
857C2×C43#348911yescharacteristic
858C2×C43#358411yescharacteristic
859C2×C43#358511yescharacteristic
860D43—41no—
861D43—41no—
862D43—42no—
863D43—81no—
864D43—81no—
865#563—861no—
866#562—861no—
867#559—431no—
868#557—431no—
869#556—431no—
870#556—861no—
871#555—431no—
872#554—431no—
873#554—431no—
874#553—431no—
875#553—431no—
876#553—431no—
877#553—861no—
878#552—431no—
879#552—431no—
880#552—431no—
881#552—861no—
882#551—861no—
883#551—861no—
884#547—431no—
885#546—431no—
886#546—431no—
887#546—861no—
888D42—431no—
889#544—431no—
890#544—431no—
891#542—431no—
892#542—431no—
893#542—431no—
894#542—861no—
895#542—861no—
896#541—861no—
897#540—431no—
898#539—861no—
899#539—861no—
900#538—861no—
901#533C2×D4311yescharacteristic, complemented
902#529—431no—
903#529—431no—
904#529C2×D4311yescharacteristic
905#525—861no—
906C2×#123—861no—
907#520—431no—
908#518—431no—
909C2×C4×D4—431no—
910#501—431no—
911#501—431no—
912#499—431no—
913#499C2×D4311yescharacteristic, complemented
914#499C2×D4311yescharacteristic, complemented
915#498—431no—
916#490—431no—
917#489—431no—
918#488—431no—
919#488C2×D4311yescharacteristic, complemented
920#488C2×D4311yescharacteristic, complemented
921#486—431no—
922#485—431no—
923#485—431no—
924#485C2×D4311yescharacteristic, complemented
925#485C2×D4311yescharacteristic, complemented
926#484—431no—
927#483—431no—
928#483—431no—
929#482—431no—
930#482—431no—
931#482—431no—
932#482—431no—
933#482C2×D4311yescharacteristic
934#482C2×D4311yescharacteristic
935#481—431no—
936#481—431no—
937#481—431no—
938#481—431no—
939#480—431no—
940#479—431no—
941#479—431no—
942#479—431no—
943#479—431no—
944#478—431no—
945#478—431no—
946#478—431no—
947#478—431no—
948#478—431no—
949#478—431no—
950#478—431no—
951#478—431no—
952#478—431no—
953#478—431no—
954#478—431no—
955#478—431no—
956#477—431no—
957#477—431no—
958#477C2×D4311yescharacteristic, complemented
959#476—431no—
960#476—431no—
961#476—431no—
962#476C2×D4311yescharacteristic, complemented
963#475C2×D4311yescharacteristic, complemented
964#474—431no—
965#474—431no—
966#474—431no—
967#474—431no—
968#474—431no—
969#474C2×D4311yescharacteristic, complemented
970#470—431no—
971#469—431no—
972#469—431no—
973#468—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#467—431no—
979#466—431no—
980#466—431no—
981#465—431no—
982#464—431no—
983#464—431no—
984#464—431no—
985#463—431no—
986#463—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#460—431no—
991#459—431no—
992#452—431no—
993#450—431no—
994#450—431no—
995#449—431no—
996#447—431no—
997#447—431no—
998#446—431no—
999C8×Q8—431no—
1000#442—431no—
1001#442—431no—
1002#441—431no—
1003#440—431no—
1004C4×SD16—431no—
1005C4×SD16—431no—
1006C4×SD16—431no—
1007C4×SD16—431no—
1008C4×SD16—431no—
1009C4×D8—431no—
1010C4×D8—431no—
1011C4×D8—431no—
1012#436—431no—
1013#436—431no—
1014#436—431no—
1015#435—431no—
1016#435—431no—
1017C8×D4—431no—
1018#433—431no—
1019#433—431no—
1020#431C2×D4311yescharacteristic, complemented
1021#428—431no—
1022#428—431no—
1023#428—431no—
1024#428—431no—
1025#427—431no—
1026C2×#107—431no—
1027#424—431no—
1028#424—431no—
1029#423—431no—
1030#418—431no—
1031#418—431no—
1032#418—431no—
1033#417—431no—
1034#416—431no—
1035C2×#102—431no—
1036C43#6217511yescharacteristic, complemented, Sylow
1037C2×#41—431no—
1038C2×#41—861no—
1039C22×D4—431no—
1040C22×D4—431no—
1041C22×D4—861no—
1042C23×C4—861no—
1043C2×Q16—431no—
1044C2×SD16—431no—
1045C2×SD16—431no—
1046C2×SD16—431no—
1047C2×SD16—431no—
1048C2×D8—431no—
1049C2×D8—431no—
1050C2×D8—431no—
1051C2×M16—431no—
1052C2×M16—431no—
1053C2×M16—431no—
1054C2×M16—431no—
1055C22×C8—431no—
1056C22×C8—431no—
1057C4⋊Q8—431no—
1058C4⋊Q8—431no—
1059C4⋊Q8—431no—
1060C4⋊Q8—861no—
1061C4⋊Q8—861no—
1062C4⋊Q8—861no—
1063C4⋊Q8C22×D4311yescharacteristic
1064C4⋊Q8C22×D4311yescharacteristic
1065#127—431no—
1066#126—21no—
1067#126—431no—
1068#126—431no—
1069#126—861no—
1070#126—861no—
1071#126—861no—
1072#126—861no—
1073#126—861no—
1074#126—861no—
1075#126—861no—
1076#126—861no—
1077#126—861no—
1078#126—861no—
1079#126—861no—
1080#126—861no—
1081#125—431no—
1082#125—431no—
1083#125—431no—
1084#125—431no—
1085#125—431no—
1086#125—861no—
1087#125—861no—
1088#125—861no—
1089#125—861no—
1090#125—861no—
1091#125—861no—
1092#125—861no—
1093#125C22×D4311yescharacteristic
1094#125C22×D4311yescharacteristic
1095#125C22×D4311yescharacteristic
1096#124—431no—
1097#124—431no—
1098#124—431no—
1099#124—861no—
1100#124—861no—
1101#124—861no—
1102#124—861no—
1103#124—861no—
1104#124—861no—
1105#124—861no—
1106#124C22×D4311yescharacteristic
1107#123—21no—
1108#123—431no—
1109#123—431no—
1110#123—861no—
1111#123—861no—
1112#123—861no—
1113#123—861no—
1114#123—861no—
1115#123—861no—
1116#123—861no—
1117#123—861no—
1118#123—861no—
1119#123—861no—
1120#123—861no—
1121#123—861no—
1122#123—861no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—431no—
1131C22⋊Q8—431no—
1132C22⋊Q8—431no—
1133C22⋊Q8—431no—
1134C22⋊Q8—431no—
1135C22⋊Q8—861no—
1136C22⋊Q8—861no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8C22×D4311yescharacteristic
1150#121—431no—
1151#121—431no—
1152#121—431no—
1153#121—431no—
1154#121—431no—
1155#121—431no—
1156#121—431no—
1157#121—861no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#121—861no—
1165#121—861no—
1166#121C22×D4311yescharacteristic
1167#120—861no—
1168#120—861no—
1169#120—861no—
1170#120—861no—
1171C4×Q8—21no—
1172C4×Q8—21no—
1173C4×Q8—431no—
1174C4×Q8—431no—
1175C4×Q8—431no—
1176C4×Q8—431no—
1177C4×Q8—431no—
1178C4×Q8—861no—
1179C4×Q8—861no—
1180C4×Q8C22×D4311yescharacteristic
1181C4×D4—21no—
1182C4×D4—431no—
1183C4×D4—431no—
1184C4×D4—431no—
1185C4×D4—431no—
1186C4×D4—431no—
1187C4×D4—431no—
1188C4×D4—431no—
1189C4×D4—431no—
1190C4×D4—431no—
1191C4×D4—431no—
1192C4×D4—431no—
1193C4×D4—431no—
1194C4×D4—431no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4—861no—
1205C4×D4—861no—
1206C4×D4C22×D4311yescharacteristic
1207#117—21no—
1208#117—431no—
1209#117—431no—
1210#117—431no—
1211#117—431no—
1212#117—431no—
1213#117—861no—
1214#117—861no—
1215#117—861no—
1216#117—861no—
1217#117—861no—
1218#117—861no—
1219#117C22×D4311yescharacteristic
1220#117C22×D4311yescharacteristic
1221C2×C4⋊C4—431no—
1222C2×C4⋊C4—431no—
1223C2×C4⋊C4—431no—
1224C2×C4⋊C4—431no—
1225C2×C4⋊C4—861no—
1226C2×C4⋊C4—861no—
1227C2×C4⋊C4—861no—
1228C2×C22⋊C4—861no—
1229C2×C22⋊C4—861no—
1230C2×C22⋊C4—861no—
1231C2×C22⋊C4—861no—
1232C2×C22⋊C4—861no—
1233C2×C42C22×D4311yescharacteristic
1234#107—431no—
1235#107—431no—
1236#107—431no—
1237#107—431no—
1238#107—431no—
1239#107—431no—
1240#107—431no—
1241#107—431no—
1242#107C22×D4311yescharacteristic
1243#107C22×D4311yescharacteristic
1244#107C22×D4311yescharacteristic
1245#107C22×D4311yescharacteristic
1246#106—431no—
1247#106—431no—
1248#106—431no—
1249#106—431no—
1250#106—431no—
1251#106—431no—
1252#106—431no—
1253#106—431no—
1254#106C22×D4311yescharacteristic
1255#106C22×D4311yescharacteristic
1256#106C22×D4311yescharacteristic
1257#106C22×D4311yescharacteristic
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8—431no—
1263C4⋊C8—431no—
1264C4⋊C8—431no—
1265C4⋊C8—431no—
1266C4⋊C8C22×D4311yescharacteristic
1267C4⋊C8C22×D4311yescharacteristic
1268#103—431no—
1269#103—431no—
1270#103—431no—
1271#103—431no—
1272#103—431no—
1273#103—431no—
1274#103C22×D4311yescharacteristic
1275#103C22×D4311yescharacteristic
1276#103C22×D4311yescharacteristic
1277#103C22×D4311yescharacteristic
1278#102—431no—
1279#102—431no—
1280#102—431no—
1281#102—431no—
1282#102—431no—
1283#102—431no—
1284#102—431no—
1285#102—431no—
1286#102—431no—
1287#102—431no—
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294#102—431no—
1295#102—431no—
1296#102C22×D4311yescharacteristic
1297#102C22×D4311yescharacteristic
1298#102C22×D4311yescharacteristic
1299#102C22×D4311yescharacteristic
1300C22⋊C8—431no—
1301C22⋊C8—431no—
1302C22⋊C8—431no—
1303C22⋊C8—431no—
1304C22⋊C8C22×D4311yescharacteristic
1305C22⋊C8C22×D4311yescharacteristic
1306#97—431no—
1307#97—431no—
1308C4×C8—431no—
1309C4×C8—431no—
1310C4×C8C22×D4311yescharacteristic
1311C4×C8C22×D4311yescharacteristic
1312C24—861no—
1313C24—861no—
1314#41—862no—
1315#41—3442no—
1316#41—1721no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—431no—
1320C2×Q8—431no—
1321C2×Q8—861no—
1322C2×Q8—861no—
1323C2×Q8—861no—
1324C2×Q8C23×D4311yescharacteristic
1325C2×D4—21no—
1326C2×D4—431no—
1327C2×D4—431no—
1328C2×D4—431no—
1329C2×D4—431no—
1330C2×D4—431no—
1331C2×D4—431no—
1332C2×D4—862no—
1333C2×D4—861no—
1334C2×D4—861no—
1335C2×D4—861no—
1336C2×D4—861no—
1337C2×D4—861no—
1338C2×D4—861no—
1339C2×D4—861no—
1340C2×D4—861no—
1341C2×D4—862no—
1342C2×D4—861no—
1343C2×D4—861no—
1344C2×D4—861no—
1345C2×D4—3442no—
1346C2×D4—1721no—
1347C2×D4—1721no—
1348C2×D4C23×D4311yescharacteristic
1349C22×C4—21no—
1350C22×C4—431no—
1351C22×C4—431no—
1352C22×C4—861no—
1353C22×C4—861no—
1354C22×C4—861no—
1355C22×C4—861no—
1356C22×C4—861no—
1357C22×C4—861no—
1358C22×C4—861no—
1359C22×C4—861no—
1360C22×C4—861no—
1361C22×C4—861no—
1362C22×C4—861no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—3442no—
1368C22×C4D4×D4311yescharacteristic
1369C22×C4D4×D4311yescharacteristic
1370C22×C4C23×D4311yescharacteristic
1371Q16—1721no—
1372SD16—862no—
1373SD16—1721no—
1374SD16—1721no—
1375SD16—1721no—
1376D8—862no—
1377D8—1721no—
1378D8—1721no—
1379M16—1721no—
1380M16—1721no—
1381M16—1721no—
1382M16—1721no—
1383C2×C8—431no—
1384C2×C8—431no—
1385C2×C8—431no—
1386C2×C8—431no—
1387C2×C8—1721no—
1388C2×C8—1721no—
1389C2×C8C23×D4311yescharacteristic
1390C2×C8C23×D4311yescharacteristic
1391C2×C8C23×D4311yescharacteristic
1392C2×C8C23×D4311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—431no—
1404C4⋊C4—431no—
1405C4⋊C4—431no—
1406C4⋊C4—431no—
1407C4⋊C4—431no—
1408C4⋊C4—431no—
1409C4⋊C4—431no—
1410C4⋊C4—431no—
1411C4⋊C4—431no—
1412C4⋊C4—431no—
1413C4⋊C4—431no—
1414C4⋊C4—431no—
1415C4⋊C4—431no—
1416C4⋊C4—431no—
1417C4⋊C4—861no—
1418C4⋊C4—861no—
1419C4⋊C4—861no—
1420C4⋊C4—861no—
1421C4⋊C4—861no—
1422C4⋊C4—861no—
1423C4⋊C4—861no—
1424C4⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4C23×D4311yescharacteristic
1441C4⋊C4C23×D4311yescharacteristic
1442C4⋊C4C23×D4311yescharacteristic
1443C4⋊C4C23×D4311yescharacteristic
1444C4⋊C4C23×D4311yescharacteristic
1445C4⋊C4C23×D4311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—431no—
1454C22⋊C4—431no—
1455C22⋊C4—431no—
1456C22⋊C4—431no—
1457C22⋊C4—431no—
1458C22⋊C4—431no—
1459C22⋊C4—431no—
1460C22⋊C4—431no—
1461C22⋊C4—431no—
1462C22⋊C4—431no—
1463C22⋊C4—861no—
1464C22⋊C4—861no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4—861no—
1468C22⋊C4—861no—
1469C22⋊C4—861no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—431no—
1494C42—431no—
1495C42—861no—
1496C42—861no—
1497C42—861no—
1498C42—861no—
1499C42—861no—
1500C42—861no—
1501C42—861no—
1502C42D4×D4311yescharacteristic
1503C42D4×D4311yescharacteristic
1504C42C23×D4311yescharacteristic
1505C42C23×D4311yescharacteristic
1506C23—21no—
1507C23—431no—
1508C23—431no—
1509C23—861no—
1510C23—861no—
1511C23—861no—
1512C23—3441no—
1513C23—3441no—
1514C23—3441no—
1515C23—1722no—
1516C23—1722no—
1517C23—1722no—
1518C23C2×D4×D4311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—81no—
1522Q8—81no—
1523Q8—861no—
1524Q8—861no—
1525Q8—3441no—
1526Q8—3441no—
1527Q8—3441no—
1528Q8—1721no—
1529D4—21no—
1530D4—21no—
1531D4—42no—
1532D4—432no—
1533D4—861no—
1534D4—861no—
1535D4—861no—
1536D4—861no—
1537D4—861no—
1538D4—3441no—
1539D4—3441no—
1540D4—3441no—
1541D4—3441no—
1542D4—3441no—
1543D4—3441no—
1544D4—3441no—
1545D4—3441no—
1546D4—1721no—
1547D4—1722no—
1548D4—1722no—
1549D4—1721no—
1550D4—1721no—
1551D4—1722no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—81no—
1564C2×C4—431no—
1565C2×C4—431no—
1566C2×C4—431no—
1567C2×C4—431no—
1568C2×C4—431no—
1569C2×C4—431no—
1570C2×C4—861no—
1571C2×C4—861no—
1572C2×C4—861no—
1573C2×C4—861no—
1574C2×C4—861no—
1575C2×C4—861no—
1576C2×C4—861no—
1577C2×C4—861no—
1578C2×C4—861no—
1579C2×C4—3441no—
1580C2×C4—3441no—
1581C2×C4—3441no—
1582C2×C4—3441no—
1583C2×C4—3441no—
1584C2×C4—3441no—
1585C2×C4—3441no—
1586C2×C4—3441no—
1587C2×C4—3441no—
1588C2×C4—3441no—
1589C2×C4—3441no—
1590C2×C4—3441no—
1591C2×C4—3441no—
1592C2×C4—1722no—
1593C2×C4—1722no—
1594C2×C4C2×D4×D4311yescharacteristic
1595C2×C4C2×D4×D4311yescharacteristic
1596C2×C4C2×D4×D4311yescharacteristic
1597C2×C4C2×D4×D4311yescharacteristic
1598C2×C4C2×D4×D4311yescharacteristic
1599C2×C4C24×D4311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—861no—
1605C8—861no—
1606C8—861no—
1607C8—861no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—861no—
1615C22—861no—
1616C22—861no—
1617C22—861no—
1618C22—861no—
1619C22—861no—
1620C22—862no—
1621C22—3444no—
1622C22—1721no—
1623C22—1721no—
1624C22—1721no—
1625C22—1721no—
1626C22—1721no—
1627C22—1721no—
1628C22—1721no—
1629C22—1721no—
1630C22—6882no—
1631C22C22×D4×D4311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—861no—
1645C4—861no—
1646C4—861no—
1647C4—861no—
1648C4—861no—
1649C4—861no—
1650C4—1721no—
1651C4—1721no—
1652C4—1721no—
1653C4—1721no—
1654C4—1721no—
1655C42−1+4×D4311yescharacteristic
1656C4#1458373611yescharacteristic
1657C2—41no—
1658C2—81no—
1659C2—3441no—
1660C2—3441no—
1661C2—1721no—
1662C2—1721no—
1663C2—1722no—
1664C2#1914827311yescharacteristic
1665C2#1914936411yescharacteristic
1666C2#1914937211yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3233C2
socleC22×C43C23×D4
hypercenter#3233D43
hypocenterC43#62175
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3233

Complements

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

NH ≅ G/Ntype
1. #19149244C2semidirect
2. #19148529C2semidirect
3. #19147556C2semidirect
4. #19147467C2semidirect
5. #19147369C2semidirect
6. #19147252C2semidirect
7. #19147188C2semidirect
8. #19147154C2semidirect
9. #19147153C2semidirect
10. #19147128C2semidirect
11. #19147028C2semidirect
12. #19146996C2semidirect
13. #19146824C2semidirect
14. #19146809C2semidirect
15. #19146795C2semidirect
16. #19146754C2semidirect
17. #19146739C2semidirect
18. #19146429C2semidirect
19. #19146058C2semidirect
20. #19146013C2semidirect
21. #19145991C2semidirect
22. #19145898C2semidirect
23. #19145847C2semidirect
24. #19144879C2semidirect
25. #19144784C2semidirect
26. #19144644C2semidirect
27. #19144443C2semidirect
28. #19144419C2semidirect
29. #19144388C2semidirect
30. #19143746C2semidirect
31. C43×#3233C2semidirect
35. #14583626C22semidirect
38. #14583612C22semidirect
40. #14583605C22semidirect
42. #14583602C22semidirect
47. #14583588C22semidirect
48. #14583587C22semidirect
56. #14583526C22semidirect
57. #14583526C22semidirect
58. #14583523C22semidirect
59. #14583523C22semidirect
69. #14583433C22semidirect
75. #14583306C22semidirect
76. #14583306C22semidirect
77. #14583299C22semidirect
78. #14583296C22semidirect
80. #14583260C22semidirect
81. #14583255C22semidirect
83. #14583243C22semidirect
84. #14583239C22semidirect
85. #14583235C22semidirect
86. #14583231C22semidirect
87. #14583228C22semidirect
89. #14583225C22semidirect
90. #14583225C22semidirect
91. #14583222C22semidirect
93. #14583219C22semidirect
94. #14583219C22semidirect
95. #14583218C22semidirect
96. #14583211C22semidirect
97. #14583206C22semidirect
98. #14583205C22semidirect
99. #14583204C22semidirect
100. #14583203C22semidirect
103. #14583202C22semidirect
105. #14583200C22semidirect
106. #14583199C22semidirect
107. #14583197C22semidirect
110. #14583196C22semidirect
111. #14583196C22semidirect
112. #14583196C22semidirect
113. #14583193C22semidirect
114. #14583192C22semidirect
115. #14583187C22semidirect
117. #14583186C22semidirect
120. #14583178C22semidirect
122. #14583176C22semidirect
123. #14583155C22semidirect
124. #14583151C22semidirect
126. #14583148C22semidirect
127. #14583147C22semidirect
129. #14583146C22semidirect
131. #14583139C22semidirect
133. #14583136C22semidirect
134. #14583127C22semidirect
135. #14583124C22semidirect
136. #14583121C22semidirect
137. #14583118C22semidirect
138. #14583117C22semidirect
140. #14583115C22semidirect
141. #14583114C22semidirect
142. #14583111C22semidirect
151. #14583029C22semidirect
152. C8×Dic86C22semidirect
155. #14583003C22semidirect
156. #14582996C22semidirect
158. C4×#10621873C22semidirect
161. #14582984C22semidirect
163. C4×D344C22semidirect
164. #14582979C22semidirect
165. #14582978C22semidirect
167. #14582974C22semidirect
169. #14582973C22semidirect
170. C8×D172C22semidirect
171. #14582959C22semidirect
172. #14582959C22semidirect
173. #14582942C22semidirect
174. #14582942C22semidirect
175. #14582940C22semidirect
176. #14582940C22semidirect
177. #14582936C22semidirect
178. #107×D43C22semidirect
179. #14582924C22semidirect
180. #14582924C22semidirect
181. #14582923C22semidirect
188. C43×#533C22semidirect
190. C43×#499C22semidirect
191. C43×#499C22semidirect
192. C43×#488C22semidirect
193. C43×#488C22semidirect
194. C43×#485C22semidirect
195. C43×#485C22semidirect
198. C43×#477C22semidirect
199. C43×#476C22semidirect
200. C43×#475C22semidirect
201. C43×#474C22semidirect
202. C43×#431C22semidirect
847. #3233D43semidirect
901. #533C2×D43semidirect
913. #499C2×D43semidirect
914. #499C2×D43semidirect
919. #488C2×D43semidirect
920. #488C2×D43semidirect
924. #485C2×D43semidirect
925. #485C2×D43semidirect
958. #477C2×D43semidirect
962. #476C2×D43semidirect
963. #475C2×D43semidirect
969. #474C2×D43semidirect
1020. #431C2×D43semidirect
1036. C43#62175semidirect

Maximal subgroups

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

subgroupindex
#191492442
#191485292
#191475562
#191474672
#191473692
#191472522
#191471882
#191471542
#191471532
#191471282
#191470282
#191469962
#191468242
#191468092
#191467952
#191467542
#191467392
#191464292
#191460582
#191460132
#191459912
#191458982
#191458472
#191448792
#191447842
#191446442
#191444432
#191444192
#191443882
#191437462
C43×#32332
#6217543