Finite Group Databasebeta

← #25979726

Subgroups — #25979726

Order 11008.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148707C211yesmaximal, characteristic, complemented
2#19148628C211yesmaximal, characteristic, complemented
3#19147639C211yesmaximal, characteristic, complemented
4#19147348C211yesmaximal, characteristic, complemented
5#19147324C211yesmaximal, characteristic, complemented
6#19147154C211yesmaximal, characteristic, complemented
7#19147094C211yesmaximal, characteristic, complemented
8#19147094C211yesmaximal, characteristic, complemented
9#19146845C211yesmaximal, characteristic, complemented
10#19146834C211yesmaximal, characteristic, complemented
11#19146778C211yesmaximal, characteristic, complemented
12#19146733C211yesmaximal, characteristic, complemented
13#19146613C211yesmaximal, characteristic, complemented
14#19146598C211yesmaximal, characteristic, complemented
15#19146216C211yesmaximal, characteristic, complemented
16#19146092C211yesmaximal, characteristic, complemented
17#19146092C211yesmaximal, characteristic, complemented
18#19145283C211yesmaximal, characteristic, complemented
19#19145246C211yesmaximal, characteristic, complemented
20#19145192C211yesmaximal, characteristic, complemented
21#19144888C211yesmaximal, characteristic, complemented
22#19144840C211yesmaximal, characteristic, complemented
23#19144801C211yesmaximal, characteristic, complemented
24#19144784C211yesmaximal, characteristic, complemented
25#19144749C211yesmaximal, characteristic, complemented
26#19144738C211yesmaximal, characteristic, complemented
27#19143579C211yesmaximal, characteristic, complemented
28#19143449C211yesmaximal, characteristic, complemented
29#19143426C211yesmaximal, characteristic, complemented
30#19143400C211yesmaximal, characteristic, complemented
31C43×#3388C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063352C2211yescharacteristic
34C2×SD16×D43C2211yescharacteristic
35#14583634—21no—
36#14583634C2211yescharacteristic, complemented
37#14583615—21no—
38#14583615C2211yescharacteristic
39#14583615C2211yescharacteristic, complemented
40#14583602—21no—
41#14583602C2211yescharacteristic
42#14583602C2211yescharacteristic
43#14583602C2211yescharacteristic, complemented
44#14583597—21no—
45#14583587—21no—
46#14583587C2211yescharacteristic, complemented
47#14583571C2211yescharacteristic
48#14583571C2211yescharacteristic, complemented
49#14583561C2211yescharacteristic, complemented
50#14583561C2211yescharacteristic, complemented
51#14583540—21no—
52#14583540—21no—
53#14583540—21no—
54D4×D172C2211yescharacteristic
55D4×D172C2211yescharacteristic
56D4×D172C2211yescharacteristic
57#14583523—21no—
58#14583523C2211yescharacteristic, complemented
59#14583505—21no—
60#14583505C2211yescharacteristic
61#14583505C2211yescharacteristic
62#14583505C2211yescharacteristic, complemented
63#14583489—21no—
64#14583489—21no—
65#14583450C2211yescharacteristic
66#14583436—21no—
67#14583436C2211yescharacteristic
68#14583434—21no—
69#14583434C2211yescharacteristic, complemented
70#14583412—21no—
71C2×#13063300—21no—
72#14583381C2211yescharacteristic, complemented
73#14583375C2211yescharacteristic, complemented
74#14583371C2211yescharacteristic
75#14583371C2211yescharacteristic
76C4×#10621902C2211yescharacteristic, complemented
77C4×D4×D43C2211yescharacteristic
78#14583288C2211yescharacteristic, complemented
79#14583288C2211yescharacteristic, complemented
80#14583276C2211yescharacteristic, complemented
81#14583265C2211yescharacteristic, complemented
82#14583265C2211yescharacteristic, complemented
83#14583265C2211yescharacteristic, complemented
84#14583261C2211yescharacteristic, complemented
85#14583256C2211yescharacteristic, complemented
86#14583247C2211yescharacteristic, complemented
87#14583243C2211yescharacteristic, complemented
88#14583231C2211yescharacteristic, complemented
89#14583226C2211yescharacteristic, complemented
90#14583226C2211yescharacteristic, complemented
91#14583225C2211yescharacteristic, complemented
92#14583225C2211yescharacteristic, complemented
93#14583225C2211yescharacteristic, complemented
94#14583225C2211yescharacteristic, complemented
95#14583225C2211yescharacteristic, complemented
96#14583219C2211yescharacteristic, complemented
97#14583214C2211yescharacteristic, complemented
98#14583214C2211yescharacteristic, complemented
99#14583203C2211yescharacteristic, complemented
100#14583196C2211yescharacteristic, complemented
101#14583196C2211yescharacteristic, complemented
102#14583196C2211yescharacteristic, complemented
103#14583176C2211yescharacteristic, complemented
104#14583176C2211yescharacteristic, complemented
105#14583153C2211yescharacteristic, complemented
106#14583153C2211yescharacteristic, complemented
107#14583153C2211yescharacteristic, complemented
108#14583153C2211yescharacteristic, complemented
109#14583153C2211yescharacteristic, complemented
110#14583146C2211yescharacteristic, complemented
111#14583146C2211yescharacteristic, complemented
112#14583146C2211yescharacteristic, complemented
113#14583136C2211yescharacteristic, complemented
114#14583136C2211yescharacteristic, complemented
115#14583136C2211yescharacteristic, complemented
116#14583129C2211yescharacteristic, complemented
117#14583115C2211yescharacteristic, complemented
118#14583115C2211yescharacteristic, complemented
119#14583114C2211yescharacteristic
120#14583114C2211yescharacteristic
121#14583100C2211yescharacteristic, complemented
122#14583099C2211yescharacteristic, complemented
123#14583099C2211yescharacteristic, complemented
124#14583099C2211yescharacteristic, complemented
125#14583095C2211yescharacteristic, complemented
126#14583095C2211yescharacteristic, complemented
127#14583095C2211yescharacteristic, complemented
128#14583094C2211yescharacteristic
129#14583051C2211yescharacteristic
130#14583051C2211yescharacteristic
131#14583047C2211yescharacteristic, complemented
132#14583047C2211yescharacteristic, complemented
133#14583047C2211yescharacteristic, complemented
134#14583047C2211yescharacteristic, complemented
135#14583039C2211yescharacteristic, complemented
136#14583039C2211yescharacteristic, complemented
137#14583034C2211yescharacteristic
138#14583034C2211yescharacteristic
139#14583034C2211yescharacteristic
140#14583034C2211yescharacteristic
141#14583030C2211yescharacteristic, complemented
142#14583012C2211yescharacteristic, complemented
143#14583012C2211yescharacteristic, complemented
144#14583010C2211yescharacteristic, complemented
145#14583010C2211yescharacteristic, complemented
146#14583010C2211yescharacteristic, complemented
147#14583009C2211yescharacteristic
148#14583008C2211yescharacteristic
149#14583002C2211yescharacteristic, complemented
150#14583002C2211yescharacteristic, complemented
151#14582999C2211yescharacteristic
152#14582998C2211yescharacteristic, complemented
153#14582997C2211yescharacteristic, complemented
154#14582997C2211yescharacteristic, complemented
155#14582996C2211yescharacteristic
156C4×#10621873C2211yescharacteristic, complemented
157SD16×Dic43C2211yescharacteristic
158C4×#10621884C2211yescharacteristic, complemented
159#14582986C2211yescharacteristic, complemented
160#14582986C2211yescharacteristic, complemented
161#14582984C2211yescharacteristic, complemented
162#14582981C2211yescharacteristic, complemented
163#14582981C2211yescharacteristic, complemented
164#14582981C2211yescharacteristic, complemented
165C4×#10621882C2211yescharacteristic
166#14582979C2211yescharacteristic
167#14582978C2211yescharacteristic, complemented
168#14582976C2211yescharacteristic, complemented
169#14582972C2211yescharacteristic, complemented
170#14582972C2211yescharacteristic, complemented
171#14582969C2211yescharacteristic, complemented
172#14582969C2211yescharacteristic, complemented
173#14582959C2211yescharacteristic, complemented
174#14582959C2211yescharacteristic, complemented
175#14582955C2211yescharacteristic, complemented
176#14582940C2211yescharacteristic, complemented
177#14582940C2211yescharacteristic, complemented
178#14582934C2211yescharacteristic, complemented
179#14582906C2211yescharacteristic, complemented
180#14582902C2211yescharacteristic
181#14582902C2211yescharacteristic
182#14582899C2211yescharacteristic, complemented
183#14582894C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic
185#14582856C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187#14582851C2211yescharacteristic, complemented
188C43×#557C2211yescharacteristic, complemented
189C43×#554C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#501C2211yescharacteristic, complemented
192C43×#499C2211yescharacteristic, complemented
193C43×#479C2211yescharacteristic, complemented
194C43×#479C2211yescharacteristic, complemented
195C43×#478C2211yescharacteristic
196C43×#478C2211yescharacteristic
197C43×#476C2211yescharacteristic
198C43×#475C2211yescharacteristic, complemented
199C43×#446C2211yescharacteristic, complemented
200C43×#440C2211yescharacteristic
201C43×#440C2211yescharacteristic
202C4×SD16×C43C2211yescharacteristic
203C2×#10621902—21no—
204C2×#10621902—21no—
205C2×#10621902C2311yescharacteristic
206C2×#10621902C2311yescharacteristic
207C2×Q8×D43C2311yescharacteristic
208C22×D172—21no—
209C22×D172—21no—
210C22×D172—21no—
211C2×D4×D43C2311yescharacteristic
212C2×D4×D43C2311yescharacteristic
213C2×D4×D43C2311yescharacteristic
214C22×C4×D43—21no—
215#13063352—24no—
216#13063352—24no—
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224SD16×D43—24no—
225C2×D344C2311yescharacteristic
226C2×D344C2311yescharacteristic
227C2×D344C2311yescharacteristic
228C2×D344C2311yescharacteristic
229C2×D344C2311yescharacteristic
230C2×D344C2311yescharacteristic
231C2×#10621882C2311yescharacteristic
232C2×#10621882C2311yescharacteristic
233C2×#10621872C2311yescharacteristic
234C2×#10621872C2311yescharacteristic
235C2×#10621872C2311yescharacteristic
236C2×#10621872C2311yescharacteristic
237C2×C8×D43C2311yescharacteristic
238C2×C8×D43C2311yescharacteristic
239#13063322—21no—
240#13063322C2311yescharacteristic
241#13063322C2311yescharacteristic
242#13063322C2311yescharacteristic
243#13063322C2311yescharacteristic
244#13063320—21no—
245#13063320—21no—
246#13063320—21no—
247#13063320—21no—
248#13063320—21no—
249#13063320—21no—
250#13063320D411yescharacteristic
251#13063320D411yescharacteristic
252#13063316—21no—
253#13063316D411yescharacteristic
254#13063314—21no—
255#13063314—21no—
256#13063314—21no—
257#13063314—21no—
258#13063314—21no—
259#13063314—21no—
260#13063314—21no—
261#13063314D411yescharacteristic
262#13063313—21no—
263#13063313—21no—
264#13063313C2311yescharacteristic
265#13063313C2311yescharacteristic
266#13063310—21no—
267#13063310—21no—
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310—21no—
276#13063310—21no—
277#13063310—21no—
278#13063310—21no—
279#13063310—21no—
280#13063310D411yescharacteristic
281#13063310D411yescharacteristic
282#13063305—21no—
283#13063305—21no—
284#13063305C2311yescharacteristic
285#13063305C2311yescharacteristic
286#13063301—21no—
287#13063301D411yescharacteristic
288#13063300—21no—
289#13063300—21no—
290#13063300—21no—
291#13063300—21no—
292#13063300—21no—
293#13063300—21no—
294#13063300—21no—
295#13063300—21no—
296#13063300—21no—
297#13063300—21no—
298#13063300—21no—
299#13063300—21no—
300#13063300—21no—
301#13063300—21no—
302#13063300—21no—
303#13063300—21no—
304#13063300—21no—
305#13063300—21no—
306#13063300—21no—
307#13063300D411yescharacteristic
308#13063300C2311yescharacteristic
309#13063300C2311yescharacteristic
310#13063300C2311yescharacteristic
311#13063300C2311yescharacteristic
312#13063300C2311yescharacteristic
313#13063300C2311yescharacteristic
314#13063300C2311yescharacteristic
315#13063300C2311yescharacteristic
316#13063300C2311yescharacteristic
317#13063300C2311yescharacteristic
318#13063299—21no—
319#13063299—21no—
320#13063299—21no—
321#13063295—21no—
322#13063295—21no—
323#13063295—21no—
324#13063295—21no—
325#13063295—21no—
326#13063295—21no—
327Q8×Dic43C2311yescharacteristic
328C4×Dic86—21no—
329C4×Dic86C2311yescharacteristic
330#13063290—21no—
331#13063290C2311yescharacteristic
332C4×D172—21no—
333C4×D172—21no—
334C4×D172—21no—
335C4×D172—21no—
336C4×D172—21no—
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339C4×D172C2311yescharacteristic
340C4×D172C2311yescharacteristic
341C4×D172C2311yescharacteristic
342C4×D172C2311yescharacteristic
343C4×D172C2311yescharacteristic
344C4×D172C2311yescharacteristic
345D4×Dic43C2311yescharacteristic
346#13063287—21no—
347#13063287—21no—
348#13063287—21no—
349#13063287—21no—
350#13063287—21no—
351#13063287—21no—
352#13063287—21no—
353#13063287—21no—
354#13063287C2311yescharacteristic
355#13063287C2311yescharacteristic
356#13063287C2311yescharacteristic
357#13063287C2311yescharacteristic
358#13063287C2311yescharacteristic
359C4×C22⋊D43—21no—
360C4×C22⋊D43—21no—
361C4×C22⋊D43—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365#13063283—21no—
366#13063283—21no—
367#13063283—21no—
368#13063283—21no—
369#13063283—21no—
370#13063283—21no—
371#13063283C2311yescharacteristic
372#13063283C2311yescharacteristic
373#13063283C2311yescharacteristic
374#13063283C2311yescharacteristic
375#13063282—21no—
376#13063282—21no—
377#13063282C2311yescharacteristic
378#13063282C2311yescharacteristic
379C4⋊C4×D43—21no—
380C4⋊C4×D43C2311yescharacteristic
381C4⋊C4×D43C2311yescharacteristic
382C2×(C2×D43)⋊C4—21no—
383C2×(C2×D43)⋊C4—21no—
384C22⋊C4×D43—21no—
385C22⋊C4×D43—21no—
386C22⋊C4×D43—21no—
387C42×D43—21no—
388C42×D43C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397C4⋊(C43⋊C8)C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063249C2311yescharacteristic
401#13063248C2311yescharacteristic
402#13063248C2311yescharacteristic
403#13063248C2311yescharacteristic
404#13063247C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063246C2311yescharacteristic
410#13063245C2311yescharacteristic
411#13063245C2311yescharacteristic
412#13063245C2311yescharacteristic
413#13063245C2311yescharacteristic
414#13063245C2311yescharacteristic
415#13063245C2311yescharacteristic
416#13063245C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063236C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C4⋊Q8×C43—21no—
440C4⋊Q8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442#125×C43—21no—
443#125×C43—21no—
444#125×C43C2311yescharacteristic
445#125×C43C2311yescharacteristic
446#125×C43C2311yescharacteristic
447#125×C43C2311yescharacteristic
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43—21no—
450C22⋊Q8×C43—21no—
451C4×Q8×C43—21no—
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459C2×C4⋊C4×C43—21no—
460#107×C43C2311yescharacteristic
461#107×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#106×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469C4⋊C8×C43C2311yescharacteristic
470C4⋊C8×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C23×D43—21no—
484C2×Q8×C43—21no—
485C2×Q8×C43—21no—
486C2×Q8×C43C2×D411yescharacteristic
487C2×Q8×C43C2411yescharacteristic
488C2×D4×C43C2411yescharacteristic
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C22×Dic43—21no—
496#10621902—22no—
497#10621902—22no—
498#10621902—41no—
499#10621902—41no—
500#10621902—82no—
501#10621902—82no—
502Q8×D43—22no—
503Q8×D43—41no—
504D4×D43—22no—
505D4×D43—22no—
506D4×D43—22no—
507D4×D43—41no—
508D4×D43—41no—
509D4×D43—41no—
510C2×D172—21no—
511C2×D172—21no—
512C2×D172—21no—
513C2×D172—21no—
514C2×D172—21no—
515C2×D172—21no—
516C2×D172—21no—
517C2×D172—21no—
518C2×D172—21no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172—21no—
522C2×D172—21no—
523C2×D172—21no—
524C2×D172—21no—
525C2×D172—21no—
526C2×D172—21no—
527C2×D172—21no—
528C2×D172—21no—
529C2×D172—21no—
530C2×D172—82no—
531C2×D172—82no—
532C2×D172—82no—
533C2×D172C2×D411yescharacteristic
534C2×D172C2×D411yescharacteristic
535C2×D172C2×D411yescharacteristic
536C2×D172C2411yescharacteristic
537C2×D172C2411yescharacteristic
538C2×D172C2411yescharacteristic
539C2×D172C2411yescharacteristic
540C2×D172C2411yescharacteristic
541C2×C4×D43—21no—
542C2×C4×D43—21no—
543C2×C4×D43—21no—
544C2×C4×D43—21no—
545C2×C4×D43—21no—
546C2×C4×D43—21no—
547C2×C4×D43—21no—
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—82no—
557C2×C4×D43C2×D411yescharacteristic
558C2×C4×D43C2×D411yescharacteristic
559C2×C4×D43C2411yescharacteristic
560C2×C4×D43C2411yescharacteristic
561C2×C4×D43C2411yescharacteristic
562C2×Dic86—21no—
563C2×Dic86C2411yescharacteristic
564SD16×C43#4114yescomplemented
565C2×C8×C43C2411yescharacteristic
566C2×C8×C43C2411yescharacteristic
567C2×C8×C43C2411yescharacteristic
568C2×C8×C43C2411yescharacteristic
569C4⋊C4×C43—21no—
570C4⋊C4×C43—21no—
571C4⋊C4×C43—21no—
572C4⋊C4×C43—21no—
573C4⋊C4×C43—21no—
574C4⋊C4×C43—21no—
575C4⋊C4×C43—21no—
576C4⋊C4×C43—21no—
577C4⋊C4×C43—21no—
578C4⋊C4×C43—21no—
579C4⋊C4×C43—21no—
580C4⋊C4×C43—21no—
581C4⋊C4×C43—21no—
582C4⋊C4×C43C2×D411yescharacteristic
583C4⋊C4×C43C2×D411yescharacteristic
584C4⋊C4×C43C2×D411yescharacteristic
585C4⋊C4×C43C2411yescharacteristic
586C4⋊C4×C43C2411yescharacteristic
587C4⋊C4×C43C2411yescharacteristic
588C4⋊C4×C43C2411yescharacteristic
589C4⋊C4×C43C2411yescharacteristic
590C4⋊C4×C43C2411yescharacteristic
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C42×C43—21no—
595C42×C43—21no—
596C42×C43—21no—
597C42×C43C2411yescharacteristic
598C42×C43C2411yescharacteristic
599C42×C43C2411yescharacteristic
600C22⋊Dic43—21no—
601#10621884—22no—
602#10621884—22no—
603#10621884—22no—
604#10621883—22no—
605#10621882—22no—
606#10621882—22no—
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)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4C2×D411yescharacteristic
638(C2×D43)⋊C4C2×D411yescharacteristic
639(C2×D43)⋊C4C2×D411yescharacteristic
640(C2×D43)⋊C4C2×D411yescharacteristic
641(C2×D43)⋊C4C2×D411yescharacteristic
642(C2×D43)⋊C4C2×D411yescharacteristic
643(C2×D43)⋊C4C2×D411yescharacteristic
644(C2×D43)⋊C4C2×D411yescharacteristic
645(C2×D43)⋊C4C2×D411yescharacteristic
646(C2×D43)⋊C4C2×D411yescharacteristic
647C4⋊Dic43—21no—
648C4⋊Dic43—21no—
649C4⋊Dic43—21no—
650C4⋊Dic43C2×D411yescharacteristic
651C4⋊Dic43C2×D411yescharacteristic
652C4⋊Dic43C2×D411yescharacteristic
653C4⋊Dic43C2411yescharacteristic
654C4⋊Dic43C2411yescharacteristic
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43C2×D411yescharacteristic
671C4×Dic43C2×D411yescharacteristic
672C4×Dic43C2411yescharacteristic
673C2×C43⋊C8C2411yescharacteristic
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677D344—22no—
678D344—22no—
679D344—41no—
680D344—41no—
681D344—41no—
682D344—41no—
683#10621873—22no—
684#10621873—41no—
685#10621873—41no—
686#10621872—22no—
687#10621872—22no—
688#10621872—41no—
689#10621872—41no—
690C8×D43—22no—
691C8×D43—41no—
692C23×C43—21no—
693C22×D43—21no—
694C22×D43—21no—
695C22×D43—21no—
696C22×D43—21no—
697C22×D43—21no—
698C22×D43—42no—
699C22×D43—42no—
700C22×D43—42no—
701C22×D43—42no—
702C22×D43—81no—
703C22×D43—81no—
704C22×D43—81no—
705C22×D43—81no—
706C22×D43—81no—
707C22×D43C22×D411yescharacteristic
708C22×D43C22×D411yescharacteristic
709C22×D43C22×D411yescharacteristic
710Q8×C43—21no—
711Q8×C43—41no—
712Q8×C43—81no—
713Q8×C43—81no—
714Q8×C43C2×#4112yes—
715D4×C43—21no—
716D4×C43C2×#4112yes—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—42no—
725C2×C4×C43—81no—
726C2×C4×C43—81no—
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C2511yescharacteristic
734C22⋊D43—42no—
735C22⋊D43—42no—
736C22⋊D43—42no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—81no—
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746D172—21no—
747D172—21no—
748D172—21no—
749D172—21no—
750D172—21no—
751D172—21no—
752D172—21no—
753D172—21no—
754D172—21no—
755D172—21no—
756D172—41no—
757D172—41no—
758D172—41no—
759D172—42no—
760D172—42no—
761D172—42no—
762D172—42no—
763D172—42no—
764D172—81no—
765D172—81no—
766D172—81no—
767D172—81no—
768D172—81no—
769D172—81no—
770D172—81no—
771D172—81no—
772D172—81no—
773D172—81no—
774D172—81no—
775D172—81no—
776D172—81no—
777D172—81no—
778D172—81no—
779C4×D43—21no—
780C4×D43—21no—
781C4×D43—21no—
782C4×D43—21no—
783C4×D43—21no—
784C4×D43—21no—
785C4×D43—41no—
786C4×D43—41no—
787C4×D43—42no—
788C4×D43—42no—
789C4×D43—42no—
790C4×D43—42no—
791C4×D43—81no—
792C4×D43—81no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802Dic86—21no—
803Dic86—21no—
804Dic86—42no—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43—21no—
808C8×C43C2×#4112yes—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8—21no—
813#61504—431nomaximal, Sylow
814C22×C43—22no—
815C22×C43—41no—
816C22×C43—41no—
817C22×C43C23×D411yescharacteristic
818C2×D43—21no—
819C2×D43—21no—
820C2×D43—21no—
821C2×D43—21no—
822C2×D43—21no—
823C2×D43—21no—
824C2×D43—21no—
825C2×D43—21no—
826C2×D43—21no—
827C2×D43—41no—
828C2×D43—41no—
829C2×D43—41no—
830C2×D43—41no—
831C2×D43—41no—
832C2×D43—41no—
833C2×D43—41no—
834C2×D43—41no—
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—84no—
843C2×D43—162no—
844C2×D43—162no—
845C4×C43—21no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—21no—
850C4×C43—21no—
851C4×C43—22no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43—41no—
855C4×C43—41no—
856C4×C43—41no—
857C4×C43—41no—
858C4×C43C22×#4111yescharacteristic
859C4×C43#58511yescharacteristic
860Dic43—21no—
861Dic43—21no—
862Dic43—21no—
863Dic43—21no—
864Dic43—21no—
865Dic43—41no—
866Dic43—41no—
867Dic43—41no—
868#3524—431no—
869#3519—431no—
870#3399—431no—
871#3388D4311yescharacteristic, complemented
872#3370—431no—
873#3368—431no—
874#3351—431no—
875#3347—431no—
876#3347—431no—
877#3326—431no—
878#3325—431no—
879#3321—431no—
880#3318—431no—
881#3310—431no—
882#3309—431no—
883#3274—431no—
884#3265—431no—
885#3265—431no—
886#3179—431no—
887#3176—431no—
888#3171—431no—
889#3126—431no—
890#3122—431no—
891#3119—431no—
892#3118—431no—
893#3115—431no—
894#3114—431no—
895#2967—431no—
896#2949—431no—
897#2946—431no—
898C4×AGL(1,ℤ/8)—431no—
899C2×C43—42no—
900C2×C43D4×#4111yescharacteristic
901C2×C43#358511yescharacteristic
902C2×C43#358511yescharacteristic
903D43—41no—
904D43—41no—
905D43—41no—
906D43—81no—
907D43—81no—
908D43—81no—
909D43—81no—
910D43—81no—
911C2×AGL(1,ℤ/8)—431no—
912C2×AGL(1,ℤ/8)—431no—
913C22×SD16—431no—
914#559—431no—
915#559—861no—
916#557C2×D4311yescharacteristic, complemented
917#555—431no—
918#555—431no—
919#555—861no—
920#554C2×D4311yescharacteristic
921#553—431no—
922#553—431no—
923#553—431no—
924#553—861no—
925#553—861no—
926#552—431no—
927#552—861no—
928#550—431no—
929#550—431no—
930#548—431no—
931#548—431no—
932#546—861no—
933#546—861no—
934#546—861no—
935D42—431no—
936D42—431no—
937D42—431no—
938#542—431no—
939#542—861no—
940#540—431no—
941#540—431no—
942#540—431no—
943#540—861no—
944#538—861no—
945#538—861no—
946#532—431no—
947#529—431no—
948#529—431no—
949#529—861no—
950#529—861no—
951#525—861no—
952C2×#121—861no—
953#520—431no—
954#519—431no—
955#518—431no—
956#518—431no—
957C4×#41—431no—
958C2×C4×D4—431no—
959#501C2×D4311yescharacteristic, complemented
960#501C2×D4311yescharacteristic, complemented
961#499C2×D4311yescharacteristic, complemented
962#496—431no—
963#496—431no—
964#493—431no—
965#490—431no—
966#490—431no—
967#490—431no—
968#489—431no—
969#488—431no—
970#486—431no—
971#485—431no—
972#483—431no—
973#482—431no—
974#482—431no—
975#482—431no—
976#482—431no—
977#482—431no—
978#482—431no—
979#482—431no—
980#481—431no—
981#480—431no—
982#480—431no—
983#479—431no—
984#479C2×D4311yescharacteristic, complemented
985#479C2×D4311yescharacteristic, complemented
986#478—431no—
987#478—431no—
988#478—431no—
989#478C2×D4311yescharacteristic
990#478C2×D4311yescharacteristic
991#476C2×D4311yescharacteristic
992#475C2×D4311yescharacteristic, complemented
993#474—431no—
994#474—431no—
995#469—431no—
996#469—431no—
997#469—431no—
998#469—431no—
999#469—431no—
1000#468—431no—
1001#468—431no—
1002#468—431no—
1003#466—431no—
1004#466—431no—
1005#466—431no—
1006#465—431no—
1007#463—431no—
1008#463—431no—
1009#463—431no—
1010#463—431no—
1011#460—431no—
1012#460—431no—
1013#460—431no—
1014#460—431no—
1015#459—431no—
1016#459—431no—
1017#459—431no—
1018#459—431no—
1019#450—431no—
1020#450—431no—
1021#449—431no—
1022#449—431no—
1023#449—431no—
1024#449—431no—
1025#448—431no—
1026#448—431no—
1027#447—431no—
1028#447—431no—
1029#447—431no—
1030#447—431no—
1031#446—431no—
1032#446C2×D4311yescharacteristic, complemented
1033#442—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#440—431no—
1041#440—431no—
1042#440—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440C2×D4311yescharacteristic
1048#440C2×D4311yescharacteristic
1049C4×SD16—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×SD16C2×D4311yescharacteristic
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060C4×D8—431no—
1061#436—431no—
1062#436—431no—
1063#435—431no—
1064#435—431no—
1065#435—431no—
1066#435—431no—
1067#433—431no—
1068#433—431no—
1069#432—431no—
1070#428—431no—
1071#428—431no—
1072#427—431no—
1073#419—431no—
1074#418—431no—
1075#418—431no—
1076#417—431no—
1077#416—431no—
1078C2×#102—431no—
1079#405—431no—
1080#405—431no—
1081C4×M16—431no—
1082C43#6150411yescharacteristic, complemented, Sylow
1083C2×#41—431no—
1084C2×#41—431no—
1085C2×#41—861no—
1086C2×#41—861no—
1087C22×Q8—431no—
1088C22×D4—431no—
1089C22×D4—431no—
1090C22×D4—431no—
1091C22×D4—861no—
1092C22×D4—861no—
1093C22×D4—861no—
1094C23×C4—861no—
1095AGL(1,ℤ/8)—864no—
1096AGL(1,ℤ/8)—864no—
1097C2×SD16—431no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16—431no—
1103C2×SD16—431no—
1104C2×SD16—864no—
1105C2×SD16C22×D4311yescharacteristic
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8—431no—
1112C2×D8—431no—
1113C2×D8—431no—
1114C2×M16—431no—
1115C2×M16—431no—
1116C2×M16—431no—
1117C2×M16—431no—
1118C22×C8—431no—
1119C22×C8—431no—
1120C4⋊Q8—21no—
1121C4⋊Q8C22×D4311yescharacteristic
1122C4⋊Q8C22×D4311yescharacteristic
1123#127—431no—
1124#127—431no—
1125#127—431no—
1126#127—431no—
1127#127—861no—
1128#126—431no—
1129#126—431no—
1130#126—861no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#125—21no—
1137#125—21no—
1138#125—431no—
1139#125—861no—
1140#125C22×D4311yescharacteristic
1141#125C22×D4311yescharacteristic
1142#125C22×D4311yescharacteristic
1143#125C22×D4311yescharacteristic
1144#124—431no—
1145#124—431no—
1146#124—431no—
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#123—431no—
1157#123—431no—
1158#123—861no—
1159#123—861no—
1160#123—861no—
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—
1172C22⋊Q8—21no—
1173C22⋊Q8—21no—
1174C22⋊Q8—21no—
1175C22⋊Q8—431no—
1176C22⋊Q8—431no—
1177C22⋊Q8—431no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181#121—431no—
1182#121—431no—
1183#121—431no—
1184#121—431no—
1185#121—431no—
1186#121—431no—
1187#121—431no—
1188#121—431no—
1189#121—431no—
1190#121—431no—
1191#121—431no—
1192#121—861no—
1193#121—861no—
1194#121—861no—
1195#121—861no—
1196#121—861no—
1197#121—861no—
1198#121—861no—
1199#121—861no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121—861no—
1212#121—861no—
1213#121—861no—
1214#120—861no—
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219#120—861no—
1220C4×Q8—21no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—861no—
1225C4×Q8—861no—
1226C4×Q8C22×D4311yescharacteristic
1227C4×Q8C22×D4311yescharacteristic
1228C4×Q8C22×D4311yescharacteristic
1229C4×Q8C22×D4311yescharacteristic
1230C4×D4—431no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—431no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4—861no—
1261C4×D4—861no—
1262C4×D4—861no—
1263C4×D4C22×D4311yescharacteristic
1264C4×D4C22×D4311yescharacteristic
1265C4×D4C22×D4311yescharacteristic
1266#117—431no—
1267#117—431no—
1268#117—431no—
1269#117—431no—
1270#117—431no—
1271#117—431no—
1272#117—861no—
1273#117—861no—
1274#117—861no—
1275#117—861no—
1276#117—861no—
1277#117—861no—
1278#117—861no—
1279#117—861no—
1280C2×C4⋊C4—21no—
1281C2×C4⋊C4—431no—
1282C2×C4⋊C4—431no—
1283C2×C4⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C22⋊C4—861no—
1289C2×C42—431no—
1290C2×C42—861no—
1291#107—431no—
1292#107—431no—
1293#107—431no—
1294#107—431no—
1295#107C22×D4311yescharacteristic
1296#107C22×D4311yescharacteristic
1297#107C22×D4311yescharacteristic
1298#107C22×D4311yescharacteristic
1299#106—431no—
1300#106—431no—
1301#106—431no—
1302#106C22×D4311yescharacteristic
1303#106C22×D4311yescharacteristic
1304#106C22×D4311yescharacteristic
1305#106C22×D4311yescharacteristic
1306#106C22×D4311yescharacteristic
1307C4⋊C8—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8C22×D4311yescharacteristic
1311C4⋊C8C22×D4311yescharacteristic
1312C4⋊C8C22×D4311yescharacteristic
1313#103—431no—
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103C22×D4311yescharacteristic
1319#103C22×D4311yescharacteristic
1320#103C22×D4311yescharacteristic
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#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102—431no—
1341#102—431no—
1342#102C22×D4311yescharacteristic
1343#102C22×D4311yescharacteristic
1344#102C22×D4311yescharacteristic
1345C22⋊C8—431no—
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8—431no—
1349C22⋊C8—431no—
1350C22⋊C8—431no—
1351#97—431no—
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97C22×D4311yescharacteristic
1356#97C22×D4311yescharacteristic
1357C4×C8—431no—
1358C4×C8—431no—
1359C4×C8—431no—
1360C4×C8C22×D4311yescharacteristic
1361C24—861no—
1362C24—861no—
1363C24—861no—
1364#41—862no—
1365#41—862no—
1366#41—3442no—
1367#41—3442no—
1368#41—1721no—
1369#41—1721no—
1370C2×Q8—21no—
1371C2×Q8—21no—
1372C2×Q8—431no—
1373C2×Q8—861no—
1374C2×Q8—862no—
1375C2×Q8—1721no—
1376C2×Q8D4×D4311yescharacteristic
1377C2×Q8C23×D4311yescharacteristic
1378C2×D4—431no—
1379C2×D4—431no—
1380C2×D4—431no—
1381C2×D4—431no—
1382C2×D4—431no—
1383C2×D4—431no—
1384C2×D4—431no—
1385C2×D4—431no—
1386C2×D4—861no—
1387C2×D4—861no—
1388C2×D4—861no—
1389C2×D4—861no—
1390C2×D4—861no—
1391C2×D4—861no—
1392C2×D4—861no—
1393C2×D4—861no—
1394C2×D4—861no—
1395C2×D4—861no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—861no—
1401C2×D4—862no—
1402C2×D4—862no—
1403C2×D4—862no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—861no—
1411C2×D4—861no—
1412C2×D4—3442no—
1413C2×D4—3442no—
1414C2×D4—3442no—
1415C2×D4—1721no—
1416C2×D4—1721no—
1417C2×D4—1721no—
1418C2×D4C23×D4311yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—431no—
1423C22×C4—431no—
1424C22×C4—431no—
1425C22×C4—431no—
1426C22×C4—431no—
1427C22×C4—861no—
1428C22×C4—861no—
1429C22×C4—861no—
1430C22×C4—861no—
1431C22×C4—861no—
1432C22×C4—861no—
1433C22×C4—861no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—861no—
1441C22×C4—861no—
1442C22×C4—861no—
1443C22×C4—3442no—
1444SD16—862no—
1445SD16—862no—
1446SD16—862no—
1447SD16—862no—
1448SD16—862no—
1449SD16—1721no—
1450SD16—1721no—
1451SD16#1062190214yescomplemented
1452D8—862no—
1453D8—862no—
1454D8—862no—
1455D8—862no—
1456D8—1721no—
1457D8—1721no—
1458D8—1721no—
1459D8—1721no—
1460M16—862no—
1461M16—862no—
1462M16—1721no—
1463M16—1721no—
1464C2×C8—431no—
1465C2×C8—431no—
1466C2×C8—431no—
1467C2×C8—431no—
1468C2×C8—862no—
1469C2×C8—1721no—
1470C2×C8C23×D4311yescharacteristic
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C2×C8C23×D4311yescharacteristic
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—431no—
1488C4⋊C4—431no—
1489C4⋊C4—431no—
1490C4⋊C4—431no—
1491C4⋊C4—431no—
1492C4⋊C4—431no—
1493C4⋊C4—431no—
1494C4⋊C4—431no—
1495C4⋊C4—431no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊C4—861no—
1503C4⋊C4D4×D4311yescharacteristic
1504C4⋊C4D4×D4311yescharacteristic
1505C4⋊C4D4×D4311yescharacteristic
1506C4⋊C4C23×D4311yescharacteristic
1507C4⋊C4C23×D4311yescharacteristic
1508C4⋊C4C23×D4311yescharacteristic
1509C4⋊C4C23×D4311yescharacteristic
1510C4⋊C4C23×D4311yescharacteristic
1511C4⋊C4C23×D4311yescharacteristic
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—431no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
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⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4—861no—
1556C42—21no—
1557C42—21no—
1558C42—21no—
1559C42—431no—
1560C42—431no—
1561C42—431no—
1562C42—861no—
1563C42—861no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42C23×D4311yescharacteristic
1570C42C23×D4311yescharacteristic
1571C42C23×D4311yescharacteristic
1572C23—21no—
1573C23—431no—
1574C23—431no—
1575C23—431no—
1576C23—861no—
1577C23—861no—
1578C23—861no—
1579C23—861no—
1580C23—861no—
1581C23—3441no—
1582C23—3441no—
1583C23—3441no—
1584C23—3441no—
1585C23—3441no—
1586C23—1722no—
1587C23—1722no—
1588C23—1722no—
1589C23—1722no—
1590Q8—21no—
1591Q8—41no—
1592Q8—81no—
1593Q8—81no—
1594Q8—861no—
1595Q8—861no—
1596Q8—1722no—
1597Q8C2×#1062190212yes—
1598D4—21no—
1599D4—861no—
1600D4—861no—
1601D4—861no—
1602D4—861no—
1603D4—861no—
1604D4—861no—
1605D4—861no—
1606D4—861no—
1607D4—861no—
1608D4—861no—
1609D4—3441no—
1610D4—3441no—
1611D4—3441no—
1612D4—3441no—
1613D4—3441no—
1614D4—3441no—
1615D4—3441no—
1616D4—3441no—
1617D4—3441no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—3441no—
1623D4—3441no—
1624D4—1721no—
1625D4—1721no—
1626D4—1721no—
1627D4—1722no—
1628D4—1722no—
1629D4—1722no—
1630D4—1722no—
1631D4—1722no—
1632D4—1722no—
1633D4—1722no—
1634D4—1722no—
1635D4C2×#1062190212yes—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—42no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—431no—
1647C2×C4—431no—
1648C2×C4—431no—
1649C2×C4—431no—
1650C2×C4—431no—
1651C2×C4—861no—
1652C2×C4—861no—
1653C2×C4—861no—
1654C2×C4—861no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—3441no—
1661C2×C4—3441no—
1662C2×C4—3441no—
1663C2×C4—3441no—
1664C2×C4—3441no—
1665C2×C4—3441no—
1666C2×C4—3441no—
1667C2×C4—3441no—
1668C2×C4—3441no—
1669C2×C4—3441no—
1670C2×C4—3441no—
1671C2×C4—3441no—
1672C2×C4—1721no—
1673C2×C4—1721no—
1674C2×C4—1722no—
1675C2×C4—1722no—
1676C2×C4—1722no—
1677C2×C4—1722no—
1678C2×C4C2×D4×D4311yescharacteristic
1679C2×C4C2×D4×D4311yescharacteristic
1680C2×C4C2×D4×D4311yescharacteristic
1681C2×C4C2×D4×D4311yescharacteristic
1682C2×C4C2×D4×D4311yescharacteristic
1683C2×C4C2×D4×D4311yescharacteristic
1684C2×C4C24×D4311yescharacteristic
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—861no—
1689C8—861no—
1690C8—861no—
1691C8—861no—
1692C8C2×#1062190212yes—
1693C22—22no—
1694C22—41no—
1695C22—41no—
1696C22—861no—
1697C22—861no—
1698C22—861no—
1699C22—861no—
1700C22—861no—
1701C22—861no—
1702C22—861no—
1703C22—861no—
1704C22—861no—
1705C22—3444no—
1706C22—1721no—
1707C22—1721no—
1708C22—1721no—
1709C22—1721no—
1710C22—1721no—
1711C22—1721no—
1712C22—1721no—
1713C22—1721no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22—6882no—
1722C22—6882no—
1723C22C22×D4×D4311yescharacteristic
1724C4—22no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—861no—
1738C4—861no—
1739C4—861no—
1740C4—861no—
1741C4—861no—
1742C4—1721no—
1743C4—1721no—
1744C4—1721no—
1745C4C22×#1062190211yescharacteristic
1746C4#1458373611yescharacteristic
1747C2—42no—
1748C2—3441no—
1749C2—3441no—
1750C2—3441no—
1751C2—3441no—
1752C2—3441no—
1753C2—1721no—
1754C2—1721no—
1755C2—1721no—
1756C2D4×#1062190211yescharacteristic
1757C2#1914937211yescharacteristic
1758C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3388C2
socleC22×C43C23×D4
hypercenter#3388D43
hypocenterC43#61504
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3388

Complements

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

NH ≅ G/Ntype
1. #19148707C2semidirect
2. #19148628C2semidirect
3. #19147639C2semidirect
4. #19147348C2semidirect
5. #19147324C2semidirect
6. #19147154C2semidirect
7. #19147094C2semidirect
8. #19147094C2semidirect
9. #19146845C2semidirect
10. #19146834C2semidirect
11. #19146778C2semidirect
12. #19146733C2semidirect
13. #19146613C2semidirect
14. #19146598C2semidirect
15. #19146216C2semidirect
16. #19146092C2semidirect
17. #19146092C2semidirect
18. #19145283C2semidirect
19. #19145246C2semidirect
20. #19145192C2semidirect
21. #19144888C2semidirect
22. #19144840C2semidirect
23. #19144801C2semidirect
24. #19144784C2semidirect
25. #19144749C2semidirect
26. #19144738C2semidirect
27. #19143579C2semidirect
28. #19143449C2semidirect
29. #19143426C2semidirect
30. #19143400C2semidirect
31. C43×#3388C2semidirect
36. #14583634C22semidirect
39. #14583615C22semidirect
43. #14583602C22semidirect
46. #14583587C22semidirect
48. #14583571C22semidirect
49. #14583561C22semidirect
50. #14583561C22semidirect
58. #14583523C22semidirect
62. #14583505C22semidirect
69. #14583434C22semidirect
72. #14583381C22semidirect
73. #14583375C22semidirect
76. C4×#10621902C22semidirect
78. #14583288C22semidirect
79. #14583288C22semidirect
80. #14583276C22semidirect
81. #14583265C22semidirect
82. #14583265C22semidirect
83. #14583265C22semidirect
84. #14583261C22semidirect
85. #14583256C22semidirect
86. #14583247C22semidirect
87. #14583243C22semidirect
88. #14583231C22semidirect
89. #14583226C22semidirect
90. #14583226C22semidirect
91. #14583225C22semidirect
92. #14583225C22semidirect
93. #14583225C22semidirect
94. #14583225C22semidirect
95. #14583225C22semidirect
96. #14583219C22semidirect
97. #14583214C22semidirect
98. #14583214C22semidirect
99. #14583203C22semidirect
100. #14583196C22semidirect
101. #14583196C22semidirect
102. #14583196C22semidirect
103. #14583176C22semidirect
104. #14583176C22semidirect
105. #14583153C22semidirect
106. #14583153C22semidirect
107. #14583153C22semidirect
108. #14583153C22semidirect
109. #14583153C22semidirect
110. #14583146C22semidirect
111. #14583146C22semidirect
112. #14583146C22semidirect
113. #14583136C22semidirect
114. #14583136C22semidirect
115. #14583136C22semidirect
116. #14583129C22semidirect
117. #14583115C22semidirect
118. #14583115C22semidirect
121. #14583100C22semidirect
122. #14583099C22semidirect
123. #14583099C22semidirect
124. #14583099C22semidirect
125. #14583095C22semidirect
126. #14583095C22semidirect
127. #14583095C22semidirect
131. #14583047C22semidirect
132. #14583047C22semidirect
133. #14583047C22semidirect
134. #14583047C22semidirect
135. #14583039C22semidirect
136. #14583039C22semidirect
141. #14583030C22semidirect
142. #14583012C22semidirect
143. #14583012C22semidirect
144. #14583010C22semidirect
145. #14583010C22semidirect
146. #14583010C22semidirect
149. #14583002C22semidirect
150. #14583002C22semidirect
152. #14582998C22semidirect
153. #14582997C22semidirect
154. #14582997C22semidirect
156. C4×#10621873C22semidirect
158. C4×#10621884C22semidirect
159. #14582986C22semidirect
160. #14582986C22semidirect
161. #14582984C22semidirect
162. #14582981C22semidirect
163. #14582981C22semidirect
164. #14582981C22semidirect
167. #14582978C22semidirect
168. #14582976C22semidirect
169. #14582972C22semidirect
170. #14582972C22semidirect
171. #14582969C22semidirect
172. #14582969C22semidirect
173. #14582959C22semidirect
174. #14582959C22semidirect
175. #14582955C22semidirect
176. #14582940C22semidirect
177. #14582940C22semidirect
178. #14582934C22semidirect
179. #14582906C22semidirect
182. #14582899C22semidirect
183. #14582894C22semidirect
185. #14582856C22semidirect
186. #14582853C22semidirect
187. #14582851C22semidirect
188. C43×#557C22semidirect
190. C43×#501C22semidirect
191. C43×#501C22semidirect
192. C43×#499C22semidirect
193. C43×#479C22semidirect
194. C43×#479C22semidirect
198. C43×#475C22semidirect
199. C43×#446C22semidirect
564. SD16×C43#41semidirect
871. #3388D43semidirect
916. #557C2×D43semidirect
959. #501C2×D43semidirect
960. #501C2×D43semidirect
961. #499C2×D43semidirect
984. #479C2×D43semidirect
985. #479C2×D43semidirect
992. #475C2×D43semidirect
1032. #446C2×D43semidirect
1082. C43#61504semidirect
1451. SD16#10621902semidirect

Maximal subgroups

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

subgroupindex
#191487072
#191486282
#191476392
#191473482
#191473242
#191471542
#191470942
#191468452
#191468342
#191467782
#191467332
#191466132
#191465982
#191462162
#191460922
#191452832
#191452462
#191451922
#191448882
#191448402
#191448012
#191447842
#191447492
#191447382
#191435792
#191434492
#191434262
#191434002
C43×#33882
#6150443