Finite Group Databasebeta

← #25966745

Subgroups — #25966745

Order 11008.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19147986C211yesmaximal, characteristic, complemented
2#542×D43C211yesmaximal, characteristic, complemented
3#19145283C211yesmaximal, characteristic, complemented
4#19145278C211yesmaximal, characteristic, complemented
5#19145277C211yesmaximal, characteristic, complemented
6#19145272C211yesmaximal, characteristic, complemented
7#19145270C211yesmaximal, characteristic, complemented
8#19145265C211yesmaximal, characteristic, complemented
9#19145260C211yesmaximal, characteristic, complemented
10#19145236C211yesmaximal, characteristic, complemented
11#19145235C211yesmaximal, characteristic, complemented
12#19145232C211yesmaximal, characteristic, complemented
13#19145229C211yesmaximal, characteristic, complemented
14#19145215C211yesmaximal, characteristic, complemented
15#19145213C211yesmaximal, characteristic, complemented
16#19145208C211yesmaximal, characteristic, complemented
17#19145205C211yesmaximal, characteristic, complemented
18#19145140C211yesmaximal, characteristic, complemented
19#19145058C211yesmaximal, characteristic, complemented
20#19144990C211yesmaximal, characteristic, complemented
21#19144978C211yesmaximal, characteristic, complemented
22#19144224C211yesmaximal, characteristic, complemented
23#19144222C211yesmaximal, characteristic, complemented
24#19144209C211yesmaximal, characteristic, complemented
25#19144207C211yesmaximal, characteristic, complemented
26C4×#13063357C211yesmaximal, characteristic, complemented
27#19143411C211yesmaximal, characteristic, complemented
28C4×#13063352C211yesmaximal, characteristic, complemented
29#19143400C211yesmaximal, characteristic, complemented
30#19143011C211yesmaximal, characteristic, complemented
31C43×#3178C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063357C2211yescharacteristic
34C2×#13063352C2211yescharacteristic
35C2×#13063352C2211yescharacteristic
36C22×#10621872C2211yescharacteristic
37C2×M16×D43C2211yescharacteristic
38#14583523C2211yescharacteristic
39#14583522C2211yescharacteristic
40#14583522C2211yescharacteristic, complemented
41#14583522C2211yescharacteristic, complemented
42#14583521C2211yescharacteristic
43#14583521C2211yescharacteristic, complemented
44#14583521C2211yescharacteristic, complemented
45#14583520C2211yescharacteristic
46#14583519—21no—
47#14583518C2211yescharacteristic
48#14583517—21no—
49#14583516C2211yescharacteristic
50#14583515—21no—
51#14583514C2211yescharacteristic
52#14583513—21no—
53#14583510C2211yescharacteristic, complemented
54#14583505C2211yescharacteristic, complemented
55#14583504C2211yescharacteristic, complemented
56#14583497—21no—
57#14583497—21no—
58#14583488—21no—
59#14583488—21no—
60#14583455C2211yescharacteristic
61#14583450C2211yescharacteristic
62C4⋊Q8×D43C2211yescharacteristic
63#14583434—21no—
64#14583434—21no—
65#14583432—21no—
66#14583432—21no—
67#126×D43—21no—
68#124×D43—21no—
69#124×D43C2211yescharacteristic
70#14583412C2211yescharacteristic
71#14583412C2211yescharacteristic
72#123×D43—21no—
73C22⋊Q8×D43—21no—
74C22⋊Q8×D43C2211yescharacteristic
75#121×D43C2211yescharacteristic
76C4×#10621902C2211yescharacteristic
77C4×#10621902C2211yescharacteristic
78C4×Q8×D43C2211yescharacteristic
79C4×D4×D43C2211yescharacteristic
80#117×D43C2211yescharacteristic
81#14583309C2211yescharacteristic, complemented
82#14583308C2211yescharacteristic, complemented
83#14583305C2211yescharacteristic, complemented
84#14583303C2211yescharacteristic, complemented
85#14583303C2211yescharacteristic, complemented
86#14583296C2211yescharacteristic, complemented
87#14583296C2211yescharacteristic, complemented
88#14583291C2211yescharacteristic, complemented
89#14583289C2211yescharacteristic, complemented
90#14583288C2211yescharacteristic, complemented
91#14583284C2211yescharacteristic, complemented
92#14583284C2211yescharacteristic, complemented
93#14583280C2211yescharacteristic, complemented
94#14583280C2211yescharacteristic, complemented
95#14583260C2211yescharacteristic, complemented
96#14583260C2211yescharacteristic, complemented
97#14583260C2211yescharacteristic, complemented
98#14583260C2211yescharacteristic, complemented
99#14583260C2211yescharacteristic, complemented
100#14583260C2211yescharacteristic, complemented
101#14583257C2211yescharacteristic, complemented
102#14583257C2211yescharacteristic, complemented
103#14583256C2211yescharacteristic, complemented
104#14583254C2211yescharacteristic, complemented
105#14583253C2211yescharacteristic, complemented
106#14583249C2211yescharacteristic, complemented
107#14583247C2211yescharacteristic, complemented
108#14583246C2211yescharacteristic, complemented
109#14583156C2211yescharacteristic, complemented
110#14583155C2211yescharacteristic, complemented
111#14583154C2211yescharacteristic, complemented
112#14583153C2211yescharacteristic
113#14583152C2211yescharacteristic
114#14583151C2211yescharacteristic
115#14583150C2211yescharacteristic
116#14583148C2211yescharacteristic
117#14583148C2211yescharacteristic, complemented
118#14583147C2211yescharacteristic
119#14583147C2211yescharacteristic, complemented
120#14583146C2211yescharacteristic, complemented
121#14583145C2211yescharacteristic, complemented
122#14583142C2211yescharacteristic
123#14583139C2211yescharacteristic, complemented
124#14583138C2211yescharacteristic, complemented
125#14583137C2211yescharacteristic, complemented
126#14583136C2211yescharacteristic
127#14583135C2211yescharacteristic
128#14583134C2211yescharacteristic
129#14583133C2211yescharacteristic
130#14583131C2211yescharacteristic
131#14583131C2211yescharacteristic, complemented
132#14583130C2211yescharacteristic
133#14583130C2211yescharacteristic, complemented
134#14583129C2211yescharacteristic, complemented
135#14583128C2211yescharacteristic, complemented
136#14583125C2211yescharacteristic
137#14583012C2211yescharacteristic, complemented
138#14583010C2211yescharacteristic, complemented
139#14583009C2211yescharacteristic, complemented
140#14583008C2211yescharacteristic, complemented
141#14583006C2211yescharacteristic, complemented
142#14583004C2211yescharacteristic, complemented
143#14583003C2211yescharacteristic, complemented
144#14583002C2211yescharacteristic, complemented
145#14583002C2211yescharacteristic, complemented
146#14583001C2211yescharacteristic, complemented
147#14583000C2211yescharacteristic, complemented
148#14582998C2211yescharacteristic, complemented
149#14582997C2211yescharacteristic, complemented
150#14582997C2211yescharacteristic, complemented
151Q16×Dic43C2211yescharacteristic, complemented
152C4×#10621885C2211yescharacteristic, complemented
153#14582991C2211yescharacteristic, complemented
154C4×#10621873C2211yescharacteristic, complemented
155SD16×Dic43C2211yescharacteristic, complemented
156C4×#10621884C2211yescharacteristic, complemented
157C4×#10621884C2211yescharacteristic, complemented
158#14582986C2211yescharacteristic, complemented
159#14582984C2211yescharacteristic, complemented
160#14582984C2211yescharacteristic, complemented
161C4×D344C2211yescharacteristic, complemented
162#14582981C2211yescharacteristic, complemented
163C4×#10621882C2211yescharacteristic, complemented
164#14582979C2211yescharacteristic, complemented
165#14582940C2211yescharacteristic
166#14582940C2211yescharacteristic
167#14582938C2211yescharacteristic
168#14582938C2211yescharacteristic
169#14582906C2211yescharacteristic
170#14582906C2211yescharacteristic
171#14582902C2211yescharacteristic
172#14582902C2211yescharacteristic
173#14582899C2211yescharacteristic
174#14582899C2211yescharacteristic
175#14582899C2211yescharacteristic
176#14582899C2211yescharacteristic
177#14582857C2211yescharacteristic, complemented
178#14582856C2211yescharacteristic, complemented
179#14582856C2211yescharacteristic, complemented
180#14582855C2211yescharacteristic, complemented
181#14582854C2211yescharacteristic, complemented
182#14582853C2211yescharacteristic, complemented
183#14582853C2211yescharacteristic, complemented
184#14582851C2211yescharacteristic
185#14582851C2211yescharacteristic
186C4×#10621872C2211yescharacteristic
187C4×#10621872C2211yescharacteristic
188C43×#542C2211yescharacteristic
189C43×#541C2211yescharacteristic, complemented
190C43×#501C2211yescharacteristic, complemented
191C43×#497C2211yescharacteristic, complemented
192C43×#488C2211yescharacteristic, complemented
193C43×#487C2211yescharacteristic, complemented
194C43×#470C2211yescharacteristic, complemented
195C43×#468C2211yescharacteristic
196C43×#467C2211yescharacteristic, complemented
197C43×#465C2211yescharacteristic
198C43×#441C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C4×Q16×C43C2211yescharacteristic, complemented
201C4×SD16×C43C2211yescharacteristic, complemented
202C43×#405C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×Q8×D43—21no—
206C2×Q8×D43C2311yescharacteristic
207C2×D4×D43—21no—
208C2×D4×D43C2311yescharacteristic
209C22×C4×D43—21no—
210C22×C4×D43C2311yescharacteristic
211#13063357—24no—
212#13063357—24no—
213#13063352—24no—
214#13063352—24no—
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×D344C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621877C2311yescharacteristic
228C2×#10621872—24no—
229C2×#10621872C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×#10621872C2311yescharacteristic
233C2×#10621872C2311yescharacteristic
234C2×#10621872C2311yescharacteristic
235M16×D43—24no—
236C22×C43⋊C8C2311yescharacteristic
237C2×C8×D43C2311yescharacteristic
238C2×C8×D43C2311yescharacteristic
239#13063325C2311yescharacteristic
240#13063324—21no—
241#13063324C2311yescharacteristic
242#13063324C2311yescharacteristic
243#13063324C2311yescharacteristic
244#13063324C2311yescharacteristic
245#13063323—21no—
246#13063322C2311yescharacteristic
247#13063320—21no—
248#13063320—21no—
249#13063320—21no—
250#13063320—21no—
251#13063320—21no—
252#13063320—21no—
253#13063320—21no—
254#13063319—21no—
255#13063319—21no—
256#13063319—21no—
257#13063318—21no—
258#13063318—21no—
259#13063318—21no—
260#13063317C2311yescharacteristic
261#13063315—21no—
262#13063315—21no—
263#13063314—21no—
264#13063314C2311yescharacteristic
265#13063314C2311yescharacteristic
266#13063314C2311yescharacteristic
267#13063313—21no—
268#13063313—21no—
269#13063313—21no—
270#13063313C2311yescharacteristic
271#13063312—21no—
272#13063312C2311yescharacteristic
273#13063311—21no—
274#13063311—21no—
275#13063311—21no—
276#13063311—21no—
277#13063311—21no—
278#13063311—21no—
279#13063311—21no—
280#13063311—21no—
281#13063310—21no—
282#13063310—21no—
283#13063310—21no—
284#13063310—21no—
285#13063310—21no—
286#13063310—21no—
287#13063310—21no—
288#13063310—21no—
289#13063310—21no—
290#13063310—21no—
291#13063309—21no—
292#13063308—21no—
293#13063307—21no—
294#13063307—21no—
295#13063307—21no—
296#13063307—21no—
297#13063306—21no—
298#13063305—21no—
299#13063305—21no—
300#13063305—21no—
301#13063305C2311yescharacteristic
302#13063304—21no—
303#13063304C2311yescharacteristic
304#13063303—21no—
305#13063303—21no—
306#13063303—21no—
307#13063303—21no—
308#13063303—21no—
309#13063303—21no—
310#13063303—21no—
311#13063302—21no—
312#13063302—21no—
313#13063302—21no—
314#13063301—21no—
315#13063301C2311yescharacteristic
316#13063301C2311yescharacteristic
317#13063301C2311yescharacteristic
318#13063300—21no—
319#13063300—21no—
320#13063300—21no—
321#13063300—21no—
322#13063300C2311yescharacteristic
323#13063300C2311yescharacteristic
324#13063300C2311yescharacteristic
325#13063299C2311yescharacteristic
326#13063299C2311yescharacteristic
327#13063299C2311yescharacteristic
328#13063298—21no—
329#13063298—21no—
330#13063298—21no—
331#13063297—21no—
332#13063296C2311yescharacteristic
333#13063295—21no—
334#13063295—21no—
335Q8×Dic43C2311yescharacteristic
336Q8×Dic43C2311yescharacteristic
337Q8×Dic43C2311yescharacteristic
338C4×Dic86—21no—
339C4×Dic86C2311yescharacteristic
340#13063290—21no—
341#13063290—21no—
342#13063290—21no—
343#13063290C2311yescharacteristic
344C4×D172—21no—
345C4×D172—21no—
346C4×D172C2311yescharacteristic
347C4×D172C2311yescharacteristic
348C4×D172C2311yescharacteristic
349D4×Dic43C2311yescharacteristic
350#13063287—21no—
351#13063287—21no—
352#13063287—21no—
353#13063287—21no—
354#13063287—21no—
355#13063287—21no—
356#13063287C2311yescharacteristic
357#13063287C2311yescharacteristic
358#13063287C2311yescharacteristic
359C4×C22⋊D43—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363#13063284C2311yescharacteristic
364#13063283—21no—
365#13063283—21no—
366#13063283D411yescharacteristic
367#13063283D411yescharacteristic
368#13063283C2311yescharacteristic
369#13063283C2311yescharacteristic
370#13063282C2311yescharacteristic
371#13063282C2311yescharacteristic
372#13063281D411yescharacteristic
373#13063281D411yescharacteristic
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43—21no—
377C4⋊C4×D43D411yescharacteristic
378C4⋊C4×D43D411yescharacteristic
379C4⋊C4×D43C2311yescharacteristic
380C4⋊C4×D43C2311yescharacteristic
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C22⋊C4×D43—21no—
385C22⋊C4×D43—21no—
386C22⋊C4×D43D411yescharacteristic
387C22⋊C4×D43D411yescharacteristic
388C42×D43—21no—
389C42×D43—21no—
390C42×D43—21no—
391C42×D43C2311yescharacteristic
392C42×D43C2311yescharacteristic
393#13063259C2311yescharacteristic
394#13063259C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063257C2311yescharacteristic
400#13063257C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063236C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C8×Dic43C2311yescharacteristic
439C8×Dic43C2311yescharacteristic
440C8×Dic43C2311yescharacteristic
441C2×Q16×C43C2311yescharacteristic
442C2×Q16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×SD16×C43C2311yescharacteristic
445C2×M16×C43C2311yescharacteristic
446C22×C8×C43C2311yescharacteristic
447C4⋊Q8×C43C2311yescharacteristic
448C4⋊Q8×C43C2311yescharacteristic
449#126×C43—21no—
450#126×C43—21no—
451#126×C43—21no—
452#125×C43—21no—
453#125×C43—21no—
454#125×C43C2311yescharacteristic
455#124×C43—21no—
456#124×C43C2311yescharacteristic
457#123×C43—21no—
458C22⋊Q8×C43—21no—
459C22⋊Q8×C43C2311yescharacteristic
460C22⋊Q8×C43C2311yescharacteristic
461C22⋊Q8×C43C2311yescharacteristic
462#121×C43C2311yescharacteristic
463C4×Q8×C43C2311yescharacteristic
464C4×Q8×C43C2311yescharacteristic
465C4×Q8×C43C2311yescharacteristic
466C4×D4×C43C2311yescharacteristic
467#117×C43C2311yescharacteristic
468#107×C43C2311yescharacteristic
469#107×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471#106×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481#97×C43C2311yescharacteristic
482C4×C8×C43C2311yescharacteristic
483C4×C8×C43C2311yescharacteristic
484C23×D43—21no—
485C23×D43C2×D411yescharacteristic
486C2×Q8×C43—21no—
487C2×Q8×C43C2411yescharacteristic
488C2×Q8×C43C2411yescharacteristic
489C2×Q8×C43C2411yescharacteristic
490C2×D4×C43—21no—
491C2×D4×C43C2411yescharacteristic
492C22×C4×C43—21no—
493C22×C4×C43C2411yescharacteristic
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C22×Dic43—21no—
500C22×Dic43C2×D411yescharacteristic
501#10621902—22no—
502#10621902—22no—
503#10621902—22no—
504#10621902—22no—
505Q8×D43—22no—
506Q8×D43—22no—
507Q8×D43—82no—
508D4×D43—22no—
509D4×D43—22no—
510D4×D43—82no—
511C2×D172—21no—
512C2×D172—21no—
513C2×D172—21no—
514C2×D172—21no—
515C2×D172—21no—
516C2×D172—21no—
517C2×D172—21no—
518C2×D172C2411yescharacteristic
519C2×D172C2411yescharacteristic
520C2×D172C2411yescharacteristic
521C2×C4×D43—22no—
522C2×C4×D43—22no—
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—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—82no—
535C2×C4×D43C2×D411yescharacteristic
536C2×C4×D43C2×D411yescharacteristic
537C2×C4×D43C2×D411yescharacteristic
538C2×C4×D43C2×D411yescharacteristic
539C2×C4×D43C2×D411yescharacteristic
540C2×C4×D43C2×D411yescharacteristic
541C2×C4×D43C2411yescharacteristic
542C2×C4×D43C2411yescharacteristic
543C2×Dic86—21no—
544C2×Dic86—21no—
545C2×Dic86—21no—
546C2×Dic86—21no—
547C2×Dic86—21no—
548C2×Dic86—21no—
549C2×Dic86C2411yescharacteristic
550Q16×C43—22no—
551Q16×C43—22no—
552SD16×C43—22no—
553SD16×C43—22no—
554M16×C43—22no—
555C2×C8×C43—22no—
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C2×C8×C43C2411yescharacteristic
559C2×C8×C43C2411yescharacteristic
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43—21no—
569C4⋊C4×C43—21no—
570C4⋊C4×C43—21no—
571C4⋊C4×C43C2×D411yescharacteristic
572C4⋊C4×C43C2×D411yescharacteristic
573C4⋊C4×C43C2411yescharacteristic
574C4⋊C4×C43C2411yescharacteristic
575C4⋊C4×C43C2411yescharacteristic
576C4⋊C4×C43C2411yescharacteristic
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C22⋊C4×C43—21no—
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C22⋊C4×C43C2×D411yescharacteristic
585C22⋊C4×C43C2×D411yescharacteristic
586C42×C43—21no—
587C42×C43—21no—
588C42×C43—21no—
589C42×C43C2411yescharacteristic
590C42×C43C2411yescharacteristic
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43C2×D411yescharacteristic
597C22⋊Dic43C2×D411yescharacteristic
598#10621885—22no—
599#10621885—22no—
600#10621884—22no—
601#10621884—22no—
602#10621884—22no—
603#10621884—22no—
604#10621882—22no—
605#10621882—22no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4C2×D411yescharacteristic
633(C2×D43)⋊C4C2×D411yescharacteristic
634(C2×D43)⋊C4C2×D411yescharacteristic
635(C2×D43)⋊C4C2×D411yescharacteristic
636C4⋊Dic43—21no—
637C4⋊Dic43—21no—
638C4⋊Dic43—21no—
639C4⋊Dic43—21no—
640C4⋊Dic43—21no—
641C4⋊Dic43C2×D411yescharacteristic
642C4⋊Dic43C2×D411yescharacteristic
643C4⋊Dic43C2411yescharacteristic
644C4⋊Dic43C2411yescharacteristic
645C4⋊Dic43C2411yescharacteristic
646C4⋊Dic43C2411yescharacteristic
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43C2×D411yescharacteristic
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2×D411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C4×Dic43C2411yescharacteristic
678#10621877—22no—
679C2×C43⋊C8—22no—
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684D344—22no—
685D344—22no—
686#10621873—22no—
687#10621873—22no—
688#10621872—22no—
689#10621872—22no—
690#10621872—22no—
691#10621872—22no—
692#10621872#4114yes—
693#10621872#4114yes—
694C8×D43—22no—
695C8×D43—22no—
696C23×C43—21no—
697C23×C43C22×D411yescharacteristic
698C22×D43—22no—
699C22×D43—21no—
700C22×D43—21no—
701C22×D43—21no—
702C22×D43—41no—
703C22×D43—41no—
704C22×D43—42no—
705C22×D43—42no—
706C22×D43—42no—
707C22×D43C22×D411yescharacteristic
708C22×D43C22×D411yescharacteristic
709Q8×C43—21no—
710Q8×C43—21no—
711Q8×C43—21no—
712Q8×C43—21no—
713Q8×C43—21no—
714Q8×C43—21no—
715Q8×C43—81no—
716D4×C43—21no—
717D4×C43—21no—
718D4×C43—81no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—81no—
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C22×D411yescharacteristic
734C2×C4×C43C2511yescharacteristic
735C22⋊D43—42no—
736C22⋊D43—81no—
737C22⋊D43—81no—
738C22⋊D43—81no—
739C22⋊D43—81no—
740C2×Dic43—22no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—81no—
747C2×Dic43C22×D411yescharacteristic
748C2×Dic43C22×D411yescharacteristic
749C2×Dic43C22×D411yescharacteristic
750C2×Dic43C22×D411yescharacteristic
751C2×Dic43C22×D411yescharacteristic
752C2×Dic43C22×D411yescharacteristic
753D172—21no—
754D172—21no—
755D172—21no—
756D172—21no—
757D172—21no—
758D172—21no—
759D172—42no—
760D172—42no—
761D172—81no—
762D172—81no—
763D172—81no—
764D172—81no—
765D172—81no—
766C4×D43—22no—
767C4×D43—21no—
768C4×D43—21no—
769C4×D43—22no—
770C4×D43—41no—
771C4×D43—41no—
772C4×D43—41no—
773C4×D43—41no—
774C4×D43—42no—
775C4×D43—42no—
776C4×D43—42no—
777C4×D43—42no—
778C4×D43—42no—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43—81no—
782C4×D43—81no—
783C4×D43—81no—
784C4×D43—81no—
785C4×D43C2×#4112yes—
786C4×D43C2×#4112yes—
787Dic86—21no—
788Dic86—21no—
789Dic86—42no—
790Dic86—81no—
791Dic86—81no—
792Dic86—81no—
793Dic86—81no—
794Dic86—81no—
795C8×C43—21no—
796C8×C43—21no—
797C8×C43C2×#4112yes—
798C8×C43C2×#4112yes—
799C43⋊C8—21no—
800C43⋊C8—21no—
801C43⋊C8C2×#4112yes—
802C43⋊C8C2×#4112yes—
803#60703—431nomaximal, Sylow
804C22×C43—21no—
805C22×C43—21no—
806C22×C43—21no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43C23×D411yescharacteristic
811C2×D43—21no—
812C2×D43—21no—
813C2×D43—21no—
814C2×D43—21no—
815C2×D43—21no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—41no—
820C2×D43—41no—
821C2×D43—41no—
822C2×D43—41no—
823C2×D43—41no—
824C2×D43—41no—
825C2×D43—82no—
826C2×D43—84no—
827C2×D43#53212yes—
828C4×C43—21no—
829C4×C43—21no—
830C4×C43—21no—
831C4×C43—21no—
832C4×C43—21no—
833C4×C43—41no—
834C4×C43—41no—
835C4×C43—41no—
836C4×C43—41no—
837C4×C43—41no—
838C4×C43—41no—
839C4×C43—41no—
840C4×C43C22×#4111yescharacteristic
841C4×C43C22×#4111yescharacteristic
842Dic43—21no—
843Dic43—21no—
844Dic43—21no—
845Dic43—21no—
846Dic43—21no—
847Dic43—41no—
848Dic43—41no—
849Dic43—41no—
850Dic43—41no—
851Dic43—41no—
852Dic43#53212yes—
853#3455—431no—
854C2×#542—431no—
855#3179—431no—
856#3179—431no—
857#3179—431no—
858#3179—431no—
859#3178—431no—
860#3178—431no—
861#3178—431no—
862#3178D4311yescharacteristic, complemented
863#3175—431no—
864#3175—431no—
865#3175—431no—
866#3175—431no—
867#3173—431no—
868#3173—431no—
869#3173—431no—
870#3173—431no—
871#3165—431no—
872#3153—431no—
873#3141—431no—
874#3140—431no—
875#3056—431no—
876#3056—431no—
877#3055—431no—
878#3055—431no—
879C4×#137—431no—
880C4×#137—431no—
881C4×AGL(1,ℤ/8)—431no—
882C4×AGL(1,ℤ/8)—431no—
883#2873—431no—
884C2×C43—41no—
885C2×C43—81no—
886C2×C43C2×#53211yescharacteristic
887C2×C43#358511yescharacteristic
888C2×C43#358611yescharacteristic
889D43—22no—
890D43—41no—
891D43—81no—
892D43—81no—
893D43—81no—
894C2×#137—431no—
895C2×#137—431no—
896C2×AGL(1,ℤ/8)—431no—
897C2×AGL(1,ℤ/8)—431no—
898C22×M16—431no—
899C22×M16—431no—
900#542—431no—
901#542—431no—
902#542—431no—
903#542—431no—
904#542—431no—
905#542—431no—
906#542—431no—
907#542—431no—
908#542—431no—
909#542—431no—
910#542—431no—
911#542—861no—
912#542—861no—
913#542—861no—
914#542—861no—
915#542C2×D4311yescharacteristic
916#541—431no—
917#541C2×D4311yescharacteristic, complemented
918#540—431no—
919#540—431no—
920#539—861no—
921#539—861no—
922#538—861no—
923#538—861no—
924#533—431no—
925#532—431no—
926C2×C4⋊Q8—431no—
927#529—861no—
928#529—861no—
929#529—861no—
930#529—861no—
931C2×#126—861no—
932C2×#124—431no—
933C2×#124—861no—
934#525—431no—
935#525—431no—
936C2×#123—861no—
937C2×C22⋊Q8—431no—
938C2×C22⋊Q8—861no—
939C2×#121—431no—
940C4×#41—431no—
941C4×#41—431no—
942C2×C4×Q8—431no—
943C2×C4×D4—431no—
944C2×#117—431no—
945#501—431no—
946#501—431no—
947#501—431no—
948#501C2×D4311yescharacteristic, complemented
949#500—431no—
950#500—431no—
951#498—431no—
952#498—431no—
953#497—431no—
954#497C2×D4311yescharacteristic, complemented
955#496—431no—
956#496—431no—
957#495—431no—
958#495—431no—
959#495—431no—
960#495—431no—
961#489—431no—
962#489—431no—
963#489—431no—
964#489—431no—
965#489—431no—
966#489—431no—
967#489—431no—
968#489—431no—
969#488—431no—
970#488—431no—
971#488—431no—
972#488C2×D4311yescharacteristic, complemented
973#487—431no—
974#487C2×D4311yescharacteristic, complemented
975#486—431no—
976#486—431no—
977#470—431no—
978#470—431no—
979#470—431no—
980#470C2×D4311yescharacteristic, complemented
981#469—431no—
982#469—431no—
983#469—431no—
984#469—431no—
985#468—431no—
986#468—431no—
987#468—431no—
988#468—431no—
989#468—431no—
990#468—431no—
991#468—431no—
992#468C2×D4311yescharacteristic
993#467—431no—
994#467—431no—
995#467—431no—
996#467C2×D4311yescharacteristic, complemented
997#466—431no—
998#466—431no—
999#466—431no—
1000#466—431no—
1001#465—431no—
1002#465—431no—
1003#465—431no—
1004#465—431no—
1005#465—431no—
1006#465—431no—
1007#465—431no—
1008#465C2×D4311yescharacteristic
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442—431no—
1013#441—431no—
1014#441—431no—
1015#441—431no—
1016#441C2×D4311yescharacteristic, complemented
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440C2×D4311yescharacteristic, complemented
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×Q16—431no—
1028C4×Q16C2×D4311yescharacteristic, complemented
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×SD16—431no—
1034C4×SD16—431no—
1035C4×SD16—431no—
1036C4×SD16C2×D4311yescharacteristic, complemented
1037C4×D8—431no—
1038C4×D8—431no—
1039C4×D8—431no—
1040C4×D8—431no—
1041#428—431no—
1042#428—431no—
1043#428—431no—
1044#428—431no—
1045#419—431no—
1046#419—431no—
1047#418—431no—
1048#418—431no—
1049#417—431no—
1050#417—431no—
1051#417—431no—
1052#417—431no—
1053#405—431no—
1054#405—431no—
1055#405—431no—
1056#405—431no—
1057#405—431no—
1058#405—431no—
1059#405—431no—
1060#405C2×D4311yescharacteristic, complemented
1061C4×M16—431no—
1062C4×M16—431no—
1063C4×M16—431no—
1064C4×M16—431no—
1065C43#6070311yescharacteristic, complemented, Sylow
1066C2×#41—431no—
1067C2×#41—431no—
1068C22×Q8—431no—
1069C22×Q8—861no—
1070C22×D4—431no—
1071C22×D4—861no—
1072C23×C4—431no—
1073C23×C4—861no—
1074#137—864no—
1075#137—864no—
1076AGL(1,ℤ/8)—864no—
1077AGL(1,ℤ/8)—864no—
1078C2×Q16—431no—
1079C2×Q16—431no—
1080C2×Q16C22×D4311yescharacteristic
1081C2×Q16C22×D4311yescharacteristic
1082C2×SD16—431no—
1083C2×SD16—431no—
1084C2×SD16—431no—
1085C2×SD16—431no—
1086C2×SD16—431no—
1087C2×SD16—431no—
1088C2×SD16C22×D4311yescharacteristic
1089C2×SD16C22×D4311yescharacteristic
1090C2×D8—431no—
1091C2×D8—431no—
1092C2×D8—431no—
1093C2×D8—431no—
1094C2×M16—431no—
1095C2×M16—431no—
1096C2×M16—431no—
1097C2×M16—431no—
1098C2×M16—431no—
1099C2×M16—431no—
1100C2×M16—431no—
1101C2×M16—864no—
1102C2×M16—864no—
1103C2×M16C22×D4311yescharacteristic
1104C22×C8—431no—
1105C22×C8—431no—
1106C22×C8—431no—
1107C22×C8C22×D4311yescharacteristic
1108C4⋊Q8—431no—
1109C4⋊Q8—431no—
1110C4⋊Q8—431no—
1111C4⋊Q8—431no—
1112C4⋊Q8—431no—
1113C4⋊Q8—861no—
1114C4⋊Q8—861no—
1115C4⋊Q8C22×D4311yescharacteristic
1116C4⋊Q8C22×D4311yescharacteristic
1117#127—431no—
1118#126—21no—
1119#126—21no—
1120#126—21no—
1121#126—861no—
1122#126—861no—
1123#126—861no—
1124#126—861no—
1125#126—861no—
1126#126—861no—
1127#126—861no—
1128#126—861no—
1129#126—861no—
1130#126—861no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#125—21no—
1135#125—21no—
1136#125—431no—
1137#125—861no—
1138#125—861no—
1139#125C22×D4311yescharacteristic
1140#124—21no—
1141#124—431no—
1142#124—431no—
1143#124—431no—
1144#124—431no—
1145#124—431no—
1146#124—861no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124—861no—
1154#124—861no—
1155#124—861no—
1156#124—861no—
1157#124—861no—
1158#124—861no—
1159#124C22×D4311yescharacteristic
1160#123—21no—
1161#123—861no—
1162#123—861no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173#123—861no—
1174#123—861no—
1175#123—861no—
1176#123—861no—
1177#123—861no—
1178C22⋊Q8—21no—
1179C22⋊Q8—431no—
1180C22⋊Q8—431no—
1181C22⋊Q8—431no—
1182C22⋊Q8—431no—
1183C22⋊Q8—431no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189C22⋊Q8—861no—
1190C22⋊Q8—861no—
1191C22⋊Q8—861no—
1192C22⋊Q8—861no—
1193C22⋊Q8—861no—
1194C22⋊Q8—861no—
1195C22⋊Q8—861no—
1196C22⋊Q8—861no—
1197C22⋊Q8—861no—
1198C22⋊Q8—861no—
1199C22⋊Q8C22×D4311yescharacteristic
1200C22⋊Q8C22×D4311yescharacteristic
1201C22⋊Q8C22×D4311yescharacteristic
1202#121—431no—
1203#121—431no—
1204#121—431no—
1205#121—431no—
1206#121—431no—
1207#121—431no—
1208#121—431no—
1209#121—861no—
1210#121—861no—
1211#121—861no—
1212#121—861no—
1213#121—861no—
1214#121—861no—
1215#121—861no—
1216#121—861no—
1217#121C22×D4311yescharacteristic
1218#120—861no—
1219#120—861no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—861no—
1226C4×Q8—861no—
1227C4×Q8—861no—
1228C4×Q8—861no—
1229C4×Q8C22×D4311yescharacteristic
1230C4×Q8C22×D4311yescharacteristic
1231C4×Q8C22×D4311yescharacteristic
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—861no—
1240C4×D4—861no—
1241C4×D4—861no—
1242C4×D4—861no—
1243C4×D4—861no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4C22×D4311yescharacteristic
1252#117—431no—
1253#117—431no—
1254#117—431no—
1255#117—431no—
1256#117—431no—
1257#117—431no—
1258#117—431no—
1259#117—431no—
1260#117—431no—
1261#117—861no—
1262#117—861no—
1263#117C22×D4311yescharacteristic
1264C2×C4⋊C4—431no—
1265C2×C4⋊C4—431no—
1266C2×C4⋊C4—431no—
1267C2×C4⋊C4—431no—
1268C2×C4⋊C4—861no—
1269C2×C4⋊C4—861no—
1270C2×C4⋊C4—861no—
1271C2×C22⋊C4—431no—
1272C2×C22⋊C4—431no—
1273C2×C22⋊C4—861no—
1274C2×C22⋊C4—861no—
1275C2×C22⋊C4—861no—
1276C2×C22⋊C4—861no—
1277C2×C22⋊C4—861no—
1278C2×C42—431no—
1279C2×C42—431no—
1280C2×C42—861no—
1281C2×C42—861no—
1282C2×C42—861no—
1283#107—431no—
1284#107—431no—
1285#107—431no—
1286#107—431no—
1287#107—431no—
1288#107—431no—
1289#107C22×D4311yescharacteristic
1290#107C22×D4311yescharacteristic
1291#106—431no—
1292#106—431no—
1293#106—431no—
1294#106—431no—
1295#106—431no—
1296#106—431no—
1297#106C22×D4311yescharacteristic
1298#106C22×D4311yescharacteristic
1299#103—431no—
1300#103—431no—
1301#103—431no—
1302#103—431no—
1303#103—431no—
1304#103—431no—
1305#103—431no—
1306#103—431no—
1307#103—431no—
1308#103—431no—
1309#103C22×D4311yescharacteristic
1310#103C22×D4311yescharacteristic
1311#103C22×D4311yescharacteristic
1312#103C22×D4311yescharacteristic
1313#103C22×D4311yescharacteristic
1314#103C22×D4311yescharacteristic
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102—431no—
1319#102—431no—
1320#102—431no—
1321#102—431no—
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328#102—431no—
1329#102C22×D4311yescharacteristic
1330#102C22×D4311yescharacteristic
1331#97—431no—
1332#97—431no—
1333#97—431no—
1334#97—431no—
1335#97—431no—
1336#97—431no—
1337#97C22×D4311yescharacteristic
1338#97C22×D4311yescharacteristic
1339C4×C8—431no—
1340C4×C8—431no—
1341C4×C8—431no—
1342C4×C8—431no—
1343C4×C8—431no—
1344C4×C8—431no—
1345C4×C8C22×D4311yescharacteristic
1346C4×C8C22×D4311yescharacteristic
1347C24—431no—
1348C24—861no—
1349#41—862no—
1350#41—862no—
1351#41—862no—
1352#41—862no—
1353C2×Q8—21no—
1354C2×Q8—431no—
1355C2×Q8—861no—
1356C2×Q8—861no—
1357C2×Q8—861no—
1358C2×Q8—861no—
1359C2×Q8—861no—
1360C2×Q8—862no—
1361C2×Q8—862no—
1362C2×Q8—861no—
1363C2×Q8—3442no—
1364C2×Q8C23×D4311yescharacteristic
1365C2×Q8C23×D4311yescharacteristic
1366C2×Q8C23×D4311yescharacteristic
1367C2×D4—21no—
1368C2×D4—431no—
1369C2×D4—431no—
1370C2×D4—431no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—862no—
1377C2×D4—862no—
1378C2×D4—861no—
1379C2×D4—861no—
1380C2×D4—861no—
1381C2×D4—861no—
1382C2×D4—861no—
1383C2×D4—861no—
1384C2×D4—861no—
1385C2×D4—3442no—
1386C2×D4C23×D4311yescharacteristic
1387C22×C4—21no—
1388C22×C4—431no—
1389C22×C4—431no—
1390C22×C4—431no—
1391C22×C4—431no—
1392C22×C4—431no—
1393C22×C4—431no—
1394C22×C4—431no—
1395C22×C4—431no—
1396C22×C4—431no—
1397C22×C4—862no—
1398C22×C4—862no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4—861no—
1404C22×C4—861no—
1405C22×C4—861no—
1406C22×C4—861no—
1407C22×C4—861no—
1408C22×C4—861no—
1409C22×C4—861no—
1410C22×C4—861no—
1411C22×C4—3442no—
1412C22×C4C23×D4311yescharacteristic
1413Q16—22no—
1414Q16—22no—
1415Q16—862no—
1416Q16—862no—
1417SD16—22no—
1418SD16—22no—
1419SD16—862no—
1420SD16—862no—
1421SD16—862no—
1422SD16—862no—
1423SD16—862no—
1424SD16—862no—
1425D8—862no—
1426D8—862no—
1427D8—862no—
1428D8—862no—
1429M16—22no—
1430M16—434no—
1431M16—434no—
1432M16—862no—
1433M16—862no—
1434M16—862no—
1435M16—862no—
1436M16—862no—
1437C2×C8—22no—
1438C2×C8—431no—
1439C2×C8—431no—
1440C2×C8—431no—
1441C2×C8—431no—
1442C2×C8—862no—
1443C2×C8—862no—
1444C2×C8—862no—
1445C2×C8C23×D4311yescharacteristic
1446C2×C8C23×D4311yescharacteristic
1447C2×C8C23×D4311yescharacteristic
1448C2×C8C23×D4311yescharacteristic
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—431no—
1461C4⋊C4—431no—
1462C4⋊C4—431no—
1463C4⋊C4—431no—
1464C4⋊C4—431no—
1465C4⋊C4—431no—
1466C4⋊C4—431no—
1467C4⋊C4—431no—
1468C4⋊C4—431no—
1469C4⋊C4—431no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4—861no—
1481C4⋊C4—861no—
1482C4⋊C4—861no—
1483C4⋊C4—861no—
1484C4⋊C4—861no—
1485C4⋊C4—861no—
1486C4⋊C4—861no—
1487C4⋊C4—861no—
1488C4⋊C4—861no—
1489C4⋊C4D4×D4311yescharacteristic
1490C4⋊C4D4×D4311yescharacteristic
1491C4⋊C4C23×D4311yescharacteristic
1492C4⋊C4C23×D4311yescharacteristic
1493C4⋊C4C23×D4311yescharacteristic
1494C4⋊C4C23×D4311yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—431no—
1503C22⋊C4—431no—
1504C22⋊C4—431no—
1505C22⋊C4—431no—
1506C22⋊C4—431no—
1507C22⋊C4—431no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
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—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4D4×D4311yescharacteristic
1540C22⋊C4D4×D4311yescharacteristic
1541C42—21no—
1542C42—21no—
1543C42—21no—
1544C42—431no—
1545C42—431no—
1546C42—431no—
1547C42—431no—
1548C42—431no—
1549C42—431no—
1550C42—861no—
1551C42—861no—
1552C42—861no—
1553C42—861no—
1554C42—861no—
1555C42—861no—
1556C42—861no—
1557C42C23×D4311yescharacteristic
1558C42C23×D4311yescharacteristic
1559C23—21no—
1560C23—431no—
1561C23—431no—
1562C23—862no—
1563C23—861no—
1564C23—861no—
1565C23—861no—
1566C23—1721no—
1567C23—1721no—
1568C23—1722no—
1569C23—1722no—
1570C23—1722no—
1571C23C2×D4×D4311yescharacteristic
1572Q8—21no—
1573Q8—21no—
1574Q8—21no—
1575Q8—21no—
1576Q8—21no—
1577Q8—21no—
1578Q8—81no—
1579Q8—861no—
1580Q8—861no—
1581Q8—3441no—
1582Q8—3441no—
1583Q8—3441no—
1584Q8—3441no—
1585Q8—3441no—
1586Q8—1722no—
1587D4—21no—
1588D4—21no—
1589D4—81no—
1590D4—861no—
1591D4—861no—
1592D4—861no—
1593D4—861no—
1594D4—861no—
1595D4—861no—
1596D4—3441no—
1597D4—3441no—
1598D4—3441no—
1599D4—3441no—
1600D4—3441no—
1601D4—3441no—
1602D4—3441no—
1603D4—3441no—
1604D4—3441no—
1605D4—1722no—
1606D4—1722no—
1607D4—1722no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—81no—
1618C2×C4—431no—
1619C2×C4—432no—
1620C2×C4—432no—
1621C2×C4—431no—
1622C2×C4—431no—
1623C2×C4—431no—
1624C2×C4—431no—
1625C2×C4—431no—
1626C2×C4—862no—
1627C2×C4—862no—
1628C2×C4—862no—
1629C2×C4—861no—
1630C2×C4—861no—
1631C2×C4—861no—
1632C2×C4—861no—
1633C2×C4—861no—
1634C2×C4—861no—
1635C2×C4—861no—
1636C2×C4—3441no—
1637C2×C4—3441no—
1638C2×C4—3441no—
1639C2×C4—3441no—
1640C2×C4—3441no—
1641C2×C4—3441no—
1642C2×C4—3441no—
1643C2×C4—1721no—
1644C2×C4—1721no—
1645C2×C4—1721no—
1646C2×C4—1721no—
1647C2×C4—1722no—
1648C2×C4—1722no—
1649C2×C4—1722no—
1650C2×C4—1722no—
1651C2×C4—1722no—
1652C2×C4C2×D4×D4311yescharacteristic
1653C2×C4C2×D4×D4311yescharacteristic
1654C2×C4C2×D4×D4311yescharacteristic
1655C2×C4C2×D4×D4311yescharacteristic
1656C2×C4C2×D4×D4311yescharacteristic
1657C2×C4C24×D4311yescharacteristic
1658C8—21no—
1659C8—21no—
1660C8—432no—
1661C8—432no—
1662C8—861no—
1663C8—861no—
1664C8#41×D4312yes—
1665C8#41×D4312yes—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—432no—
1673C22—861no—
1674C22—861no—
1675C22—861no—
1676C22—861no—
1677C22—861no—
1678C22—3442no—
1679C22—3444no—
1680C22—1721no—
1681C22—1721no—
1682C22—1721no—
1683C22—1721no—
1684C22—1721no—
1685C22—1721no—
1686C22—1721no—
1687C22—1721no—
1688C22—1721no—
1689C22C22×D4×D4311yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—432no—
1703C4—861no—
1704C4—861no—
1705C4—861no—
1706C4—861no—
1707C4—861no—
1708C4—1721no—
1709C4—1721no—
1710C4—1721no—
1711C4—1721no—
1712C4—1721no—
1713C4C2×#41×D4311yescharacteristic
1714C4C2×#41×D4311yescharacteristic
1715C2—41no—
1716C2—81no—
1717C2—862no—
1718C2—3441no—
1719C2—3441no—
1720C2—3441no—
1721C2—1721no—
1722C2#532×D4311yescharacteristic
1723C2#1914937311yescharacteristic
1724C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3178C2
socleC22×C43C23×D4
hypercenter#3178D43
hypocenterC43#60703
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3178

Complements

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

NH ≅ G/Ntype
1. #19147986C2semidirect
2. #542×D43C2semidirect
3. #19145283C2semidirect
4. #19145278C2semidirect
5. #19145277C2semidirect
6. #19145272C2semidirect
7. #19145270C2semidirect
8. #19145265C2semidirect
9. #19145260C2semidirect
10. #19145236C2semidirect
11. #19145235C2semidirect
12. #19145232C2semidirect
13. #19145229C2semidirect
14. #19145215C2semidirect
15. #19145213C2semidirect
16. #19145208C2semidirect
17. #19145205C2semidirect
18. #19145140C2semidirect
19. #19145058C2semidirect
20. #19144990C2semidirect
21. #19144978C2semidirect
22. #19144224C2semidirect
23. #19144222C2semidirect
24. #19144209C2semidirect
25. #19144207C2semidirect
26. C4×#13063357C2semidirect
27. #19143411C2semidirect
28. C4×#13063352C2semidirect
29. #19143400C2semidirect
30. #19143011C2semidirect
31. C43×#3178C2semidirect
40. #14583522C22semidirect
41. #14583522C22semidirect
43. #14583521C22semidirect
44. #14583521C22semidirect
53. #14583510C22semidirect
54. #14583505C22semidirect
55. #14583504C22semidirect
81. #14583309C22semidirect
82. #14583308C22semidirect
83. #14583305C22semidirect
84. #14583303C22semidirect
85. #14583303C22semidirect
86. #14583296C22semidirect
87. #14583296C22semidirect
88. #14583291C22semidirect
89. #14583289C22semidirect
90. #14583288C22semidirect
91. #14583284C22semidirect
92. #14583284C22semidirect
93. #14583280C22semidirect
94. #14583280C22semidirect
95. #14583260C22semidirect
96. #14583260C22semidirect
97. #14583260C22semidirect
98. #14583260C22semidirect
99. #14583260C22semidirect
100. #14583260C22semidirect
101. #14583257C22semidirect
102. #14583257C22semidirect
103. #14583256C22semidirect
104. #14583254C22semidirect
105. #14583253C22semidirect
106. #14583249C22semidirect
107. #14583247C22semidirect
108. #14583246C22semidirect
109. #14583156C22semidirect
110. #14583155C22semidirect
111. #14583154C22semidirect
117. #14583148C22semidirect
119. #14583147C22semidirect
120. #14583146C22semidirect
121. #14583145C22semidirect
123. #14583139C22semidirect
124. #14583138C22semidirect
125. #14583137C22semidirect
131. #14583131C22semidirect
133. #14583130C22semidirect
134. #14583129C22semidirect
135. #14583128C22semidirect
137. #14583012C22semidirect
138. #14583010C22semidirect
139. #14583009C22semidirect
140. #14583008C22semidirect
141. #14583006C22semidirect
142. #14583004C22semidirect
143. #14583003C22semidirect
144. #14583002C22semidirect
145. #14583002C22semidirect
146. #14583001C22semidirect
147. #14583000C22semidirect
148. #14582998C22semidirect
149. #14582997C22semidirect
150. #14582997C22semidirect
151. Q16×Dic43C22semidirect
152. C4×#10621885C22semidirect
153. #14582991C22semidirect
154. C4×#10621873C22semidirect
155. SD16×Dic43C22semidirect
156. C4×#10621884C22semidirect
157. C4×#10621884C22semidirect
158. #14582986C22semidirect
159. #14582984C22semidirect
160. #14582984C22semidirect
161. C4×D344C22semidirect
162. #14582981C22semidirect
163. C4×#10621882C22semidirect
164. #14582979C22semidirect
177. #14582857C22semidirect
178. #14582856C22semidirect
179. #14582856C22semidirect
180. #14582855C22semidirect
181. #14582854C22semidirect
182. #14582853C22semidirect
183. #14582853C22semidirect
189. C43×#541C22semidirect
190. C43×#501C22semidirect
191. C43×#497C22semidirect
192. C43×#488C22semidirect
193. C43×#487C22semidirect
194. C43×#470C22semidirect
196. C43×#467C22semidirect
198. C43×#441C22semidirect
199. C43×#440C22semidirect
200. C4×Q16×C43C22semidirect
201. C4×SD16×C43C22semidirect
202. C43×#405C22semidirect
862. #3178D43semidirect
917. #541C2×D43semidirect
948. #501C2×D43semidirect
954. #497C2×D43semidirect
972. #488C2×D43semidirect
974. #487C2×D43semidirect
980. #470C2×D43semidirect
996. #467C2×D43semidirect
1016. #441C2×D43semidirect
1024. #440C2×D43semidirect
1028. C4×Q16C2×D43semidirect
1036. C4×SD16C2×D43semidirect
1060. #405C2×D43semidirect
1065. C43#60703semidirect

Maximal subgroups

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

subgroupindex
#191479862
#542×D432
#191452832
#191452782
#191452772
#191452722
#191452702
#191452652
#191452602
#191452362
#191452352
#191452322
#191452292
#191452152
#191452132
#191452082
#191452052
#191451402
#191450582
#191449902
#191449782
#191442242
#191442222
#191442092
#191442072
C4×#130633572
#191434112
C4×#130633522
#191434002
#191430112
C43×#31782
#6070343