Finite Group Databasebeta

← #25988590

Subgroups — #25988590

Order 11008.

1710 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149071C211yesmaximal, characteristic, complemented
2#19148443C211yesmaximal, characteristic, complemented
3#19147677C211yesmaximal, characteristic, complemented
4#19147674C211yesmaximal, characteristic, complemented
5#19147661C211yesmaximal, characteristic, complemented
6#19147645C211yesmaximal, characteristic, complemented
7#19147643C211yesmaximal, characteristic, complemented
8#19147618C211yesmaximal, characteristic, complemented
9#19147612C211yesmaximal, characteristic, complemented
10#19147442C211yesmaximal, characteristic, complemented
11#19147434C211yesmaximal, characteristic, complemented
12#19147411C211yesmaximal, characteristic, complemented
13#19147405C211yesmaximal, characteristic, complemented
14#19147353C211yesmaximal, characteristic, complemented
15#19147345C211yesmaximal, characteristic, complemented
16#19147328C211yesmaximal, characteristic, complemented
17#19147322C211yesmaximal, characteristic, complemented
18#19145684C211yesmaximal, characteristic, complemented
19#19145682C211yesmaximal, characteristic, complemented
20#19145666C211yesmaximal, characteristic, complemented
21#19145664C211yesmaximal, characteristic, complemented
22#19145631C211yesmaximal, characteristic, complemented
23#19145601C211yesmaximal, characteristic, complemented
24#19144856C211yesmaximal, characteristic, complemented
25#19144854C211yesmaximal, characteristic, complemented
26#19144807C211yesmaximal, characteristic, complemented
27#19144805C211yesmaximal, characteristic, complemented
28#19144731C211yesmaximal, characteristic, complemented
29#19144693C211yesmaximal, characteristic, complemented
30#19143698C211yesmaximal, characteristic, complemented
31C43×#3401C211yesmaximal, characteristic, complemented
32#14583651—21no—
33#14583651—21no—
34#14583634C2211yescharacteristic
35#14583632C2211yescharacteristic
36#14583631C2211yescharacteristic
37Q8×Dic86C2211yescharacteristic, complemented
38#14583628C2211yescharacteristic, complemented
39#14583628C2211yescharacteristic, complemented
40#14583624C2211yescharacteristic, complemented
41#14583621C2211yescharacteristic
42#14583618C2211yescharacteristic
43#14583618C2211yescharacteristic, complemented
44#14583618C2211yescharacteristic, complemented
45#14583617—21no—
46#14583611—21no—
47#14583606C2211yescharacteristic, complemented
48#14583598—21no—
49#14583594—21no—
50#14583591—21no—
51#14583570C2211yescharacteristic
52#14583569C2211yescharacteristic
53#14583547—21no—
54#14583527—21no—
55#14583518C2211yescharacteristic
56#14583518C2211yescharacteristic
57#14583509—21no—
58#14583507C2211yescharacteristic
59#14583507C2211yescharacteristic
60#14583506—21no—
61#14583506—21no—
62#14583485—21no—
63#14583483—21no—
64#14583467C2211yescharacteristic
65#14583462C2211yescharacteristic
66#14583454C2211yescharacteristic
67#14583453C2211yescharacteristic
68#14583448C2211yescharacteristic
69#14583431C2211yescharacteristic
70#14583408—21no—
71#14583407—21no—
72#14583381C2211yescharacteristic
73#14583378C2211yescharacteristic
74C4×D4×D43C2211yescharacteristic
75#14583292C2211yescharacteristic
76#14583291C2211yescharacteristic, complemented
77#14583290C2211yescharacteristic
78#14583290C2211yescharacteristic, complemented
79#14583289C2211yescharacteristic
80#14583287C2211yescharacteristic, complemented
81#14583281C2211yescharacteristic
82#14583270C2211yescharacteristic
83#14583270C2211yescharacteristic
84#14583266C2211yescharacteristic, complemented
85#14583262C2211yescharacteristic
86#14583262C2211yescharacteristic
87#14583262C2211yescharacteristic, complemented
88#14583259C2211yescharacteristic
89#14583259C2211yescharacteristic, complemented
90#14583258C2211yescharacteristic
91#14583258C2211yescharacteristic, complemented
92#14583255C2211yescharacteristic
93#14583252C2211yescharacteristic
94#14583246C2211yescharacteristic
95#14583245C2211yescharacteristic
96#14583233C2211yescharacteristic
97#14583233C2211yescharacteristic
98#14583231C2211yescharacteristic
99#14583211C2211yescharacteristic
100#14583209C2211yescharacteristic, complemented
101#14583208C2211yescharacteristic, complemented
102#14583198C2211yescharacteristic
103#14583198C2211yescharacteristic, complemented
104#14583197C2211yescharacteristic
105#14583197C2211yescharacteristic, complemented
106#14583195C2211yescharacteristic, complemented
107#14583194C2211yescharacteristic, complemented
108#14583180C2211yescharacteristic
109#14583180C2211yescharacteristic, complemented
110#14583179C2211yescharacteristic
111#14583179C2211yescharacteristic, complemented
112#14583123C2211yescharacteristic
113#14583122C2211yescharacteristic
114#14583122C2211yescharacteristic, complemented
115#14583121C2211yescharacteristic
116#14583119C2211yescharacteristic
117#14583118C2211yescharacteristic
118#14583118C2211yescharacteristic, complemented
119#14583118C2211yescharacteristic, complemented
120#14583116C2211yescharacteristic
121#14583114C2211yescharacteristic, complemented
122#14583113C2211yescharacteristic
123#14583112C2211yescharacteristic
124#14583112C2211yescharacteristic
125#14583111C2211yescharacteristic, complemented
126#14583108C2211yescharacteristic, complemented
127#14583107C2211yescharacteristic, complemented
128#14583107C2211yescharacteristic, complemented
129#14583107C2211yescharacteristic, complemented
130#14583103C2211yescharacteristic, complemented
131#14583102C2211yescharacteristic, complemented
132#14583101C2211yescharacteristic
133#14583100C2211yescharacteristic
134#14583099C2211yescharacteristic
135#14583097C2211yescharacteristic
136#14583097C2211yescharacteristic
137#14583097C2211yescharacteristic, complemented
138#14583097C2211yescharacteristic, complemented
139#14583096C2211yescharacteristic
140#14583092C2211yescharacteristic
141#14583092C2211yescharacteristic
142#14583064C2211yescharacteristic
143#14583062C2211yescharacteristic
144#14583060C2211yescharacteristic
145#14583060C2211yescharacteristic
146#14583058C2211yescharacteristic
147#14583058C2211yescharacteristic
148#14583051C2211yescharacteristic
149#14583048C2211yescharacteristic
150#14583048C2211yescharacteristic
151#14583043C2211yescharacteristic
152#14583041C2211yescharacteristic
153#14583031C2211yescharacteristic
154#14583030C2211yescharacteristic, complemented
155#14583029C2211yescharacteristic, complemented
156#14583028C2211yescharacteristic, complemented
157#14583028C2211yescharacteristic, complemented
158#14583027C2211yescharacteristic, complemented
159#14583027C2211yescharacteristic, complemented
160#14583026C2211yescharacteristic, complemented
161#14583009C2211yescharacteristic
162#14583004C2211yescharacteristic, complemented
163#14583002C2211yescharacteristic
164#14583002C2211yescharacteristic
165#14583002C2211yescharacteristic, complemented
166#14583001C2211yescharacteristic
167#14583001C2211yescharacteristic, complemented
168#14583000C2211yescharacteristic
169#14583000C2211yescharacteristic
170#14583000C2211yescharacteristic, complemented
171#14583000C2211yescharacteristic, complemented
172#14582999C2211yescharacteristic
173#14582999C2211yescharacteristic, complemented
174#14582996C2211yescharacteristic, complemented
175C4×Dic172C2211yescharacteristic, complemented
176Q16×Dic43C2211yescharacteristic, complemented
177C4×#10621885C2211yescharacteristic, complemented
178#14582991C2211yescharacteristic, complemented
179C4×#10621884C2211yescharacteristic, complemented
180D8×Dic43C2211yescharacteristic, complemented
181#14582979C2211yescharacteristic, complemented
182#14582961C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582959C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582955C2211yescharacteristic
187#14582954C2211yescharacteristic
188C43×#559C2211yescharacteristic
189C43×#556C2211yescharacteristic, complemented
190C43×#497C2211yescharacteristic, complemented
191C43×#496C2211yescharacteristic
192C43×#495C2211yescharacteristic
193C43×#464C2211yescharacteristic
194C43×#464C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic, complemented
197C43×#461C2211yescharacteristic
198C43×#460C2211yescharacteristic
199C43×#446C2211yescharacteristic, complemented
200C43×#442C2211yescharacteristic
201C43×#441C2211yescharacteristic, complemented
202C4×SD16×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621900—21no—
206C2×#10621900C2311yescharacteristic
207C2×D4×D43C2311yescharacteristic
208C22×C4×D43—21no—
209C2×Dic172C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621885C2311yescharacteristic
213C2×#10621873C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621883C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224#13063325—21no—
225#13063325—21no—
226#13063325C2311yescharacteristic
227#13063325C2311yescharacteristic
228#13063325C2311yescharacteristic
229#13063324—21no—
230#13063324—21no—
231#13063324—21no—
232#13063324D411yescharacteristic
233#13063323D411yescharacteristic
234#13063323C2311yescharacteristic
235#13063323C2311yescharacteristic
236#13063323C2311yescharacteristic
237#13063322C2311yescharacteristic
238#13063321C2311yescharacteristic
239#13063321C2311yescharacteristic
240#13063321C2311yescharacteristic
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063319—21no—
245#13063319—21no—
246#13063319—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318—21no—
251#13063318—21no—
252#13063318—21no—
253#13063318—21no—
254#13063318—21no—
255#13063318—21no—
256#13063317—21no—
257#13063317—21no—
258#13063316—21no—
259#13063316—21no—
260#13063316—21no—
261#13063316—21no—
262#13063316—21no—
263#13063316—21no—
264#13063316C2311yescharacteristic
265#13063316C2311yescharacteristic
266#13063316C2311yescharacteristic
267#13063315—21no—
268#13063315—21no—
269#13063315—21no—
270#13063315—21no—
271#13063315D411yescharacteristic
272#13063315D411yescharacteristic
273#13063314—21no—
274#13063314C2311yescharacteristic
275#13063313C2311yescharacteristic
276#13063313C2311yescharacteristic
277#13063312C2311yescharacteristic
278#13063312C2311yescharacteristic
279#13063311—21no—
280#13063311—21no—
281#13063311—21no—
282#13063311—21no—
283#13063310—21no—
284#13063310—21no—
285#13063309—21no—
286#13063309—21no—
287#13063309—21no—
288#13063308—21no—
289#13063307—21no—
290#13063307—21no—
291#13063307—21no—
292#13063305—21no—
293#13063305D411yescharacteristic
294#13063305C2311yescharacteristic
295#13063304—21no—
296#13063303—21no—
297#13063303D411yescharacteristic
298#13063303D411yescharacteristic
299#13063302—21no—
300#13063302—21no—
301#13063302—21no—
302#13063302—21no—
303#13063302—21no—
304#13063302—21no—
305#13063302—21no—
306#13063301D411yescharacteristic
307#13063301C2311yescharacteristic
308#13063301C2311yescharacteristic
309#13063299—21no—
310#13063298—21no—
311#13063298—21no—
312#13063298—21no—
313#13063298—21no—
314#13063298—21no—
315#13063298—21no—
316#13063297—21no—
317#13063297—21no—
318#13063297—21no—
319#13063297—21no—
320#13063296—21no—
321#13063296C2311yescharacteristic
322#13063295—21no—
323#13063295—21no—
324#13063293—21no—
325#13063293—21no—
326Q8×Dic43—21no—
327Q8×Dic43C2311yescharacteristic
328Q8×Dic43C2311yescharacteristic
329Q8×Dic43C2311yescharacteristic
330Q8×Dic43C2311yescharacteristic
331Q8×Dic43C2311yescharacteristic
332C4×Dic86—21no—
333C4×Dic86—21no—
334C4×Dic86C2311yescharacteristic
335C4×Dic86C2311yescharacteristic
336C4×Dic86C2311yescharacteristic
337C4×Dic86C2311yescharacteristic
338C4×Dic86C2311yescharacteristic
339C4×Dic86C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341#13063290—21no—
342#13063290—21no—
343#13063290C2311yescharacteristic
344C4×D172—21no—
345C4×D172C2311yescharacteristic
346C4×D172C2311yescharacteristic
347D4×Dic43C2311yescharacteristic
348D4×Dic43C2311yescharacteristic
349D4×Dic43C2311yescharacteristic
350D4×Dic43C2311yescharacteristic
351#13063287—21no—
352#13063287—21no—
353#13063287C2311yescharacteristic
354#13063287C2311yescharacteristic
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364#13063284—21no—
365#13063283—21no—
366#13063282—21no—
367#13063282—21no—
368#13063282C2311yescharacteristic
369#13063282C2311yescharacteristic
370#13063281—21no—
371#13063281—21no—
372#13063281—21no—
373#13063281—21no—
374C2×C4⋊Dic43—21no—
375C2×Dic43⋊C4—21no—
376C4⋊C4×D43—21no—
377C4⋊C4×D43C2311yescharacteristic
378C22⋊C4×D43—21no—
379C42×D43C2311yescharacteristic
380#13063259C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063256C2311yescharacteristic
387C4⋊(C43⋊C8)C2311yescharacteristic
388C4⋊(C43⋊C8)C2311yescharacteristic
389C4⋊(C43⋊C8)C2311yescharacteristic
390Dic43⋊C8C2311yescharacteristic
391Dic43⋊C8C2311yescharacteristic
392Dic43⋊C8C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396#13063250C2311yescharacteristic
397#13063250C2311yescharacteristic
398#13063250C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063249C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422(C2×D43)⋊C8C2311yescharacteristic
423(C2×D43)⋊C8C2311yescharacteristic
424(C2×D43)⋊C8C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426#13063236C2311yescharacteristic
427#13063236C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×Q16×C43C2311yescharacteristic
436C2×Q16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C2×D8×C43C2311yescharacteristic
444C4⋊Q8×C43C2311yescharacteristic
445#127×C43C2311yescharacteristic
446#126×C43—21no—
447#126×C43—21no—
448#124×C43—21no—
449#124×C43C2311yescharacteristic
450#124×C43C2311yescharacteristic
451#124×C43C2311yescharacteristic
452#124×C43C2311yescharacteristic
453#123×C43—21no—
454#123×C43—21no—
455C22⋊Q8×C43—21no—
456C4×Q8×C43C2311yescharacteristic
457C4×Q8×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×Q8×C43C2311yescharacteristic
460C4×D4×C43—21no—
461C4×D4×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464#117×C43—21no—
465#106×C43C2311yescharacteristic
466C4⋊C8×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#97×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479C2×Q8×C43C2×D411yescharacteristic
480C2×Q8×C43C2411yescharacteristic
481C2×Q8×C43C2411yescharacteristic
482C2×Q8×C43C2411yescharacteristic
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43C2411yescharacteristic
486C2×D4×C43C2411yescharacteristic
487C2×D4×C43C2411yescharacteristic
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C22×Dic43—21no—
501C22×Dic43—21no—
502C22×Dic43—21no—
503C22×Dic43—21no—
504C22×Dic43—21no—
505#10621902—41no—
506#10621902—41no—
507#10621900—41no—
508#10621900—41no—
509#10621900—82no—
510D4×D43—41no—
511D4×D43—41no—
512#10621898—82no—
513C2×D172—21no—
514C2×D172—21no—
515C2×D172—21no—
516C2×D172C2411yescharacteristic
517C2×D172C2411yescharacteristic
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—82no—
525C2×C4×D43C2×D411yescharacteristic
526C2×C4×D43C2×D411yescharacteristic
527C2×C4×D43C2411yescharacteristic
528C2×Dic86—21no—
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86C2×D411yescharacteristic
532C2×Dic86C2×D411yescharacteristic
533C2×Dic86C2×D411yescharacteristic
534C2×Dic86C2411yescharacteristic
535C2×Dic86C2411yescharacteristic
536Q16×C43—41no—
537Q16×C43—41no—
538SD16×C43—41no—
539SD16×C43—41no—
540SD16×C43—41no—
541SD16×C43—41no—
542SD16×C43—41no—
543D8×C43—41no—
544D8×C43—41no—
545C2×C8×C43C2411yescharacteristic
546C2×C8×C43C2411yescharacteristic
547C2×C8×C43C2411yescharacteristic
548C2×C8×C43C2411yescharacteristic
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43C2×D411yescharacteristic
555C4⋊C4×C43C2×D411yescharacteristic
556C4⋊C4×C43C2×D411yescharacteristic
557C4⋊C4×C43C2411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C42×C43—21no—
571C42×C43—21no—
572C42×C43—21no—
573C42×C43C2411yescharacteristic
574C42×C43C2411yescharacteristic
575C42×C43C2411yescharacteristic
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585#10621885—41no—
586#10621885—41no—
587#10621885—41no—
588#10621884—41no—
589#10621884—41no—
590#10621884—41no—
591#10621884—41no—
592#10621883—41no—
593#10621883—41no—
594#10621883—41no—
595#10621882—41no—
596#10621882—41no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4C2×D411yescharacteristic
611(C2×D43)⋊C4C2×D411yescharacteristic
612(C2×D43)⋊C4C2×D411yescharacteristic
613(C2×D43)⋊C4C2×D411yescharacteristic
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43C2×D411yescharacteristic
627C4⋊Dic43C2×D411yescharacteristic
628C4⋊Dic43C2×D411yescharacteristic
629C4⋊Dic43C2411yescharacteristic
630C4⋊Dic43C2411yescharacteristic
631C4⋊Dic43C2411yescharacteristic
632C4⋊Dic43C2411yescharacteristic
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
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
673C4×Dic43C2411yescharacteristic
674C4×Dic43C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679Dic172—41no—
680#10621873—41no—
681#10621873—41no—
682C23×C43—21no—
683C23×C43—21no—
684C23×C43—21no—
685C22×D43—21no—
686C22×D43—21no—
687C22×D43—42no—
688C22×D43—81no—
689C22×D43—81no—
690C22×D43C22×D411yescharacteristic
691Q8×C43—21no—
692Q8×C43—21no—
693Q8×C43—21no—
694Q8×C43—21no—
695Q8×C43—21no—
696Q8×C43—21no—
697Q8×C43—41no—
698D4×C43—21no—
699D4×C43—21no—
700D4×C43—21no—
701D4×C43—21no—
702D4×C43—21no—
703D4×C43—21no—
704D4×C43—81no—
705D4×C43—81no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—42no—
712C2×C4×C43—81no—
713C2×C4×C43—81no—
714C2×C4×C43C22×D411yescharacteristic
715C2×C4×C43C22×D411yescharacteristic
716C2×C4×C43C22×D411yescharacteristic
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C2511yescharacteristic
721C22⋊D43—42no—
722C22⋊D43—42no—
723C22⋊D43—42no—
724C22⋊D43—81no—
725C22⋊D43—81no—
726C22⋊D43—81no—
727C22⋊D43—81no—
728C22⋊D43—81no—
729C22⋊D43—81no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—42no—
737C2×Dic43—42no—
738C2×Dic43—81no—
739C2×Dic43—81no—
740C2×Dic43—81no—
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748D172—21no—
749D172—21no—
750D172—21no—
751D172—21no—
752D172—42no—
753D172—81no—
754D172—81no—
755C4×D43—21no—
756C4×D43—21no—
757C4×D43—41no—
758C4×D43—41no—
759C4×D43—42no—
760C4×D43—42no—
761C4×D43—81no—
762C4×D43—81no—
763C4×D43—81no—
764C4×D43—81no—
765Dic86—21no—
766Dic86—21no—
767Dic86—21no—
768Dic86—21no—
769Dic86—41no—
770Dic86—41no—
771Dic86—41no—
772Dic86—81no—
773Dic86—81no—
774Dic86—81no—
775C8×C43—21no—
776C8×C43—21no—
777C8×C43—21no—
778C8×C43—21no—
779C43⋊C8—21no—
780C43⋊C8—21no—
781C43⋊C8—21no—
782C43⋊C8—21no—
783#61939—431nomaximal, Sylow
784C22×C43—41no—
785C22×C43—41no—
786C22×C43—41no—
787C22×C43—41no—
788C22×C43—41no—
789C22×C43—41no—
790C22×C43—41no—
791C22×C43—41no—
792C22×C43—41no—
793C22×C43C23×D411yescharacteristic
794C2×D43—21no—
795C2×D43—21no—
796C2×D43—21no—
797C2×D43—41no—
798C2×D43—41no—
799C2×D43—41no—
800C2×D43—41no—
801C2×D43—41no—
802C2×D43—41no—
803C2×D43—84no—
804C4×C43—21no—
805C4×C43—21no—
806C4×C43—21no—
807C4×C43—21no—
808C4×C43—21no—
809C4×C43—21no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43#58511yescharacteristic
816C4×C43#58511yescharacteristic
817Dic43—21no—
818Dic43—21no—
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—21no—
824Dic43—41no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830#3555—431no—
831#3506—431no—
832#3402—431no—
833#3402—431no—
834#3401—431no—
835#3401D4311yescharacteristic, complemented
836#3400—431no—
837#3400—431no—
838#3397—431no—
839#3397—431no—
840#3377—431no—
841#3377—431no—
842#3375—431no—
843#3375—431no—
844#3370—431no—
845#3370—431no—
846#3368—431no—
847#3368—431no—
848#3224—431no—
849#3224—431no—
850#3222—431no—
851#3222—431no—
852#3219—431no—
853#3216—431no—
854#3124—431no—
855#3124—431no—
856#3120—431no—
857#3120—431no—
858#3114—431no—
859#3110—431no—
860#2987—431no—
861C2×C43—81no—
862C2×C43—81no—
863C2×C43—81no—
864C2×C43#348711yescharacteristic
865C2×C43#358511yescharacteristic
866C2×C43#358611yescharacteristic
867D43—41no—
868D43—81no—
869D43—81no—
870#563—861no—
871#563—861no—
872#559—431no—
873#559—431no—
874#559—431no—
875#559C2×D4311yescharacteristic
876Q82—431no—
877#557—431no—
878#557—431no—
879#557—431no—
880#556—431no—
881#556—431no—
882#556—431no—
883#556—431no—
884#556—861no—
885#556C2×D4311yescharacteristic, complemented
886#555—861no—
887#554—431no—
888#553—861no—
889#553—861no—
890#552—861no—
891#550—431no—
892#550—431no—
893#547—861no—
894#544—861no—
895#542—431no—
896#542—431no—
897#541—431no—
898#541—431no—
899#541—861no—
900#541—861no—
901#541—861no—
902#538—861no—
903#538—861no—
904#535—431no—
905#535—431no—
906#533—431no—
907#533—431no—
908#532—431no—
909#529—431no—
910#525—861no—
911#525—861no—
912#520—431no—
913#520—431no—
914C2×C4×D4—431no—
915#497—431no—
916#497—431no—
917#497—431no—
918#497—431no—
919#497C2×D4311yescharacteristic, complemented
920#496—431no—
921#496—431no—
922#496C2×D4311yescharacteristic
923#495—431no—
924#495C2×D4311yescharacteristic
925#492—431no—
926#492—431no—
927#491—431no—
928#490—431no—
929#490—431no—
930#490—431no—
931#489—431no—
932#489—431no—
933#489—431no—
934#489—431no—
935#488—431no—
936#488—431no—
937#486—431no—
938#486—431no—
939#484—431no—
940#484—431no—
941#483—431no—
942#480—431no—
943#479—431no—
944#479—431no—
945#478—431no—
946#478—431no—
947#478—431no—
948#478—431no—
949#477—431no—
950#477—431no—
951#474—431no—
952#474—431no—
953#474—431no—
954#474—431no—
955#464—431no—
956#464—431no—
957#464—431no—
958#464—431no—
959#464—431no—
960#464—431no—
961#464—431no—
962#464—431no—
963#464C2×D4311yescharacteristic
964#464C2×D4311yescharacteristic, complemented
965#463—431no—
966#463—431no—
967#463—431no—
968#463—431no—
969#463—431no—
970#463—431no—
971#463C2×D4311yescharacteristic, complemented
972#463C2×D4311yescharacteristic, complemented
973#462—431no—
974#462—431no—
975#462—431no—
976#462—431no—
977#461—431no—
978#461—431no—
979#461—431no—
980#461C2×D4311yescharacteristic
981#460—431no—
982#460—431no—
983#460—431no—
984#460—431no—
985#460—431no—
986#460—431no—
987#460—431no—
988#460C2×D4311yescharacteristic
989#459—431no—
990#459—431no—
991#452—431no—
992#452—431no—
993#452—431no—
994#452—431no—
995#452—431no—
996#452—431no—
997#450—431no—
998#450—431no—
999#450—431no—
1000#449—431no—
1001#449—431no—
1002#447—431no—
1003#446—431no—
1004#446—431no—
1005#446—431no—
1006#446—431no—
1007#446—431no—
1008#446—431no—
1009#446—431no—
1010#446C2×D4311yescharacteristic, complemented
1011#442—431no—
1012#442C2×D4311yescharacteristic
1013#441—431no—
1014#441C2×D4311yescharacteristic, complemented
1015#440—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440—431no—
1025#440—431no—
1026#440—431no—
1027C4×Q16—431no—
1028C4×Q16—431no—
1029C4×Q16—431no—
1030C4×Q16—431no—
1031C4×SD16—431no—
1032C4×SD16C2×D4311yescharacteristic, complemented
1033C4×D8—431no—
1034C4×D8—431no—
1035#433—431no—
1036#433—431no—
1037#433—431no—
1038#433—431no—
1039#432—431no—
1040#432—431no—
1041C43#6193911yescharacteristic, complemented, Sylow
1042C2×#41—431no—
1043C2×#41—431no—
1044C2×#41—861no—
1045C2×#41—861no—
1046C22×D4—431no—
1047C23×C4—861no—
1048C2×Q16—431no—
1049C2×Q16—431no—
1050C2×Q16—431no—
1051C2×Q16—431no—
1052C2×Q16C22×D4311yescharacteristic
1053C2×Q16C22×D4311yescharacteristic
1054C2×SD16—431no—
1055C2×SD16—431no—
1056C2×SD16—431no—
1057C2×SD16—431no—
1058C2×SD16—431no—
1059C2×SD16—431no—
1060C2×SD16—431no—
1061C2×SD16—431no—
1062C2×SD16—431no—
1063C2×SD16C22×D4311yescharacteristic
1064C2×SD16C22×D4311yescharacteristic
1065C2×SD16C22×D4311yescharacteristic
1066C2×SD16C22×D4311yescharacteristic
1067C2×SD16C22×D4311yescharacteristic
1068C2×D8—431no—
1069C2×D8—431no—
1070C2×D8C22×D4311yescharacteristic
1071C2×D8C22×D4311yescharacteristic
1072C4⋊Q8—431no—
1073C4⋊Q8—431no—
1074C4⋊Q8—431no—
1075C4⋊Q8—431no—
1076C4⋊Q8—431no—
1077C4⋊Q8—431no—
1078C4⋊Q8—431no—
1079C4⋊Q8—431no—
1080C4⋊Q8—861no—
1081C4⋊Q8—861no—
1082C4⋊Q8—861no—
1083C4⋊Q8—861no—
1084C4⋊Q8—861no—
1085C4⋊Q8C22×D4311yescharacteristic
1086#127—431no—
1087#127—431no—
1088#127—431no—
1089#127—431no—
1090#127C22×D4311yescharacteristic
1091#126—21no—
1092#126—21no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#125—431no—
1109#125—431no—
1110#125—431no—
1111#125—431no—
1112#125—431no—
1113#125—861no—
1114#125—861no—
1115#125—861no—
1116#125—861no—
1117#125—861no—
1118#125—861no—
1119#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125—861no—
1124#125—861no—
1125#124—21no—
1126#124—431no—
1127#124—431no—
1128#124—431no—
1129#124—431no—
1130#124—431no—
1131#124—861no—
1132#124—861no—
1133#124—861no—
1134#124—861no—
1135#124—861no—
1136#124C22×D4311yescharacteristic
1137#124C22×D4311yescharacteristic
1138#124C22×D4311yescharacteristic
1139#124C22×D4311yescharacteristic
1140#123—21no—
1141#123—21no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151C22⋊Q8—21no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—431no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169#121—431no—
1170#121—861no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121—861no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#120—861no—
1183#120—861no—
1184#120—861no—
1185#120—861no—
1186C4×Q8—431no—
1187C4×Q8—431no—
1188C4×Q8—431no—
1189C4×Q8—431no—
1190C4×Q8—431no—
1191C4×Q8—431no—
1192C4×Q8—431no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—861no—
1200C4×Q8—861no—
1201C4×Q8—861no—
1202C4×Q8—861no—
1203C4×Q8—861no—
1204C4×Q8C22×D4311yescharacteristic
1205C4×Q8C22×D4311yescharacteristic
1206C4×Q8C22×D4311yescharacteristic
1207C4×Q8C22×D4311yescharacteristic
1208C4×D4—21no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4C22×D4311yescharacteristic
1230C4×D4C22×D4311yescharacteristic
1231C4×D4C22×D4311yescharacteristic
1232#117—21no—
1233#117—431no—
1234#117—431no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117—861no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243C2×C4⋊C4—431no—
1244C2×C4⋊C4—861no—
1245C2×C4⋊C4—861no—
1246C2×C4⋊C4—861no—
1247C2×C22⋊C4—861no—
1248C2×C42—431no—
1249#107—431no—
1250#107—431no—
1251#107—431no—
1252#107—431no—
1253#107—431no—
1254#107—431no—
1255#106—431no—
1256#106C22×D4311yescharacteristic
1257C4⋊C8—431no—
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8—431no—
1263C4⋊C8—431no—
1264C4⋊C8—431no—
1265C4⋊C8—431no—
1266C4⋊C8C22×D4311yescharacteristic
1267C4⋊C8C22×D4311yescharacteristic
1268C4⋊C8C22×D4311yescharacteristic
1269#103—431no—
1270#103—431no—
1271#103—431no—
1272#103—431no—
1273#103—431no—
1274#103—431no—
1275#103—431no—
1276#103—431no—
1277#103—431no—
1278#103—431no—
1279#103—431no—
1280#103C22×D4311yescharacteristic
1281#103C22×D4311yescharacteristic
1282#103C22×D4311yescharacteristic
1283#102—431no—
1284#102—431no—
1285#102—431no—
1286#102—431no—
1287#102—431no—
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294#102—431no—
1295#102—431no—
1296#102—431no—
1297#102—431no—
1298#102C22×D4311yescharacteristic
1299#102C22×D4311yescharacteristic
1300#102C22×D4311yescharacteristic
1301C22⋊C8—431no—
1302C22⋊C8—431no—
1303C22⋊C8—431no—
1304C22⋊C8—431no—
1305#97—431no—
1306#97—431no—
1307#97—431no—
1308#97—431no—
1309#97—431no—
1310#97—431no—
1311#97C22×D4311yescharacteristic
1312#97C22×D4311yescharacteristic
1313C4×C8—431no—
1314C4×C8—431no—
1315C4×C8—431no—
1316C4×C8C22×D4311yescharacteristic
1317C24—861no—
1318#41—3442no—
1319#41—3442no—
1320#41—1721no—
1321#41—1721no—
1322#41—1721no—
1323#41—1721no—
1324C2×Q8—431no—
1325C2×Q8—431no—
1326C2×Q8—431no—
1327C2×Q8—431no—
1328C2×Q8—431no—
1329C2×Q8—861no—
1330C2×Q8—861no—
1331C2×Q8—861no—
1332C2×Q8D4×D4311yescharacteristic
1333C2×Q8C23×D4311yescharacteristic
1334C2×Q8C23×D4311yescharacteristic
1335C2×Q8C23×D4311yescharacteristic
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—431no—
1339C2×D4—431no—
1340C2×D4—861no—
1341C2×D4—861no—
1342C2×D4—861no—
1343C2×D4—861no—
1344C2×D4—861no—
1345C2×D4—861no—
1346C2×D4—861no—
1347C2×D4—861no—
1348C2×D4—861no—
1349C2×D4—861no—
1350C2×D4—861no—
1351C2×D4—861no—
1352C2×D4—1721no—
1353C2×D4—1721no—
1354C2×D4C23×D4311yescharacteristic
1355C2×D4C23×D4311yescharacteristic
1356C2×D4C23×D4311yescharacteristic
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—431no—
1361C22×C4—431no—
1362C22×C4—431no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4—861no—
1371C22×C4—861no—
1372C22×C4—861no—
1373C22×C4—861no—
1374C22×C4—3442no—
1375Q16—41no—
1376Q16—41no—
1377Q16—1721no—
1378Q16—1721no—
1379Q16—1721no—
1380Q16—1721no—
1381SD16—41no—
1382SD16—41no—
1383SD16—41no—
1384SD16—41no—
1385SD16—41no—
1386SD16—1721no—
1387SD16—1721no—
1388SD16—1721no—
1389SD16—1721no—
1390SD16—1721no—
1391SD16—1721no—
1392SD16—1721no—
1393SD16—1721no—
1394SD16—1721no—
1395D8—41no—
1396D8—41no—
1397D8—1721no—
1398D8—1721no—
1399C2×C8—431no—
1400C2×C8—431no—
1401C2×C8—431no—
1402C2×C8—431no—
1403C2×C8C23×D4311yescharacteristic
1404C2×C8C23×D4311yescharacteristic
1405C2×C8C23×D4311yescharacteristic
1406C2×C8C23×D4311yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—431no—
1413C4⋊C4—431no—
1414C4⋊C4—431no—
1415C4⋊C4—431no—
1416C4⋊C4—431no—
1417C4⋊C4—431no—
1418C4⋊C4—431no—
1419C4⋊C4—431no—
1420C4⋊C4—431no—
1421C4⋊C4—431no—
1422C4⋊C4—431no—
1423C4⋊C4—431no—
1424C4⋊C4—431no—
1425C4⋊C4—431no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4D4×D4311yescharacteristic
1459C4⋊C4D4×D4311yescharacteristic
1460C4⋊C4D4×D4311yescharacteristic
1461C4⋊C4C23×D4311yescharacteristic
1462C4⋊C4C23×D4311yescharacteristic
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—431no—
1475C22⋊C4—431no—
1476C22⋊C4—431no—
1477C22⋊C4—431no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C42—21no—
1501C42—21no—
1502C42—21no—
1503C42—431no—
1504C42—431no—
1505C42—431no—
1506C42—431no—
1507C42—431no—
1508C42—861no—
1509C42—861no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42C23×D4311yescharacteristic
1519C42C23×D4311yescharacteristic
1520C42C23×D4311yescharacteristic
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—431no—
1525C23—861no—
1526C23—861no—
1527C23—3441no—
1528C23—3441no—
1529C23—1722no—
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—21no—
1534Q8—21no—
1535Q8—21no—
1536Q8—41no—
1537Q8—861no—
1538Q8—861no—
1539Q8—861no—
1540Q8—861no—
1541Q8—3441no—
1542Q8—3441no—
1543Q8—3441no—
1544Q8—1721no—
1545Q8—1721no—
1546Q8—1721no—
1547D4—21no—
1548D4—21no—
1549D4—21no—
1550D4—21no—
1551D4—21no—
1552D4—21no—
1553D4—81no—
1554D4—81no—
1555D4—861no—
1556D4—861no—
1557D4—861no—
1558D4—861no—
1559D4—3441no—
1560D4—3441no—
1561D4—3441no—
1562D4—3441no—
1563D4—3441no—
1564D4—3441no—
1565D4—3441no—
1566D4—3441no—
1567D4—1722no—
1568D4—1722no—
1569D4—1722no—
1570D4—1722no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—42no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4—431no—
1580C2×C4—431no—
1581C2×C4—431no—
1582C2×C4—431no—
1583C2×C4—431no—
1584C2×C4—431no—
1585C2×C4—431no—
1586C2×C4—861no—
1587C2×C4—861no—
1588C2×C4—861no—
1589C2×C4—861no—
1590C2×C4—861no—
1591C2×C4—861no—
1592C2×C4—861no—
1593C2×C4—861no—
1594C2×C4—3441no—
1595C2×C4—3441no—
1596C2×C4—3441no—
1597C2×C4—3441no—
1598C2×C4—3441no—
1599C2×C4—3441no—
1600C2×C4—3441no—
1601C2×C4—1721no—
1602C2×C4—1721no—
1603C2×C4—1722no—
1604C2×C4—1722no—
1605C2×C4—1722no—
1606C2×C4—1722no—
1607C2×C4C2×D4×D4311yescharacteristic
1608C2×C4C2×D4×D4311yescharacteristic
1609C2×C4C2×D4×D4311yescharacteristic
1610C2×C4C2×D4×D4311yescharacteristic
1611C2×C4C2×D4×D4311yescharacteristic
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C24×D4311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—861no—
1619C8—861no—
1620C8—861no—
1621C8—861no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—861no—
1632C22—861no—
1633C22—861no—
1634C22—3444no—
1635C22—1721no—
1636C22—1721no—
1637C22—1721no—
1638C22—1721no—
1639C22—1721no—
1640C22—1721no—
1641C22C22×D4×D4311yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—21no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—861no—
1654C4—861no—
1655C4—861no—
1656C4—861no—
1657C4—861no—
1658C4—861no—
1659C4—861no—
1660C4—1721no—
1661C4—1721no—
1662C4—1721no—
1663C4—1721no—
1664C4—1721no—
1665C4—1721no—
1666C4#1458373411yescharacteristic
1667C4#1458373511yescharacteristic
1668C2—81no—
1669C2—81no—
1670C2—81no—
1671C2—3441no—
1672C2—3441no—
1673C2—1721no—
1674C2#1914824811yescharacteristic
1675C2#1914937311yescharacteristic
1676C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3401C2
socleC22×C43C23×D4
hypercenter#3401D43
hypocenterC43#61939
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3401

Complements

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

NH ≅ G/Ntype
1. #19149071C2semidirect
2. #19148443C2semidirect
3. #19147677C2semidirect
4. #19147674C2semidirect
5. #19147661C2semidirect
6. #19147645C2semidirect
7. #19147643C2semidirect
8. #19147618C2semidirect
9. #19147612C2semidirect
10. #19147442C2semidirect
11. #19147434C2semidirect
12. #19147411C2semidirect
13. #19147405C2semidirect
14. #19147353C2semidirect
15. #19147345C2semidirect
16. #19147328C2semidirect
17. #19147322C2semidirect
18. #19145684C2semidirect
19. #19145682C2semidirect
20. #19145666C2semidirect
21. #19145664C2semidirect
22. #19145631C2semidirect
23. #19145601C2semidirect
24. #19144856C2semidirect
25. #19144854C2semidirect
26. #19144807C2semidirect
27. #19144805C2semidirect
28. #19144731C2semidirect
29. #19144693C2semidirect
30. #19143698C2semidirect
31. C43×#3401C2semidirect
37. Q8×Dic86C22semidirect
38. #14583628C22semidirect
39. #14583628C22semidirect
40. #14583624C22semidirect
43. #14583618C22semidirect
44. #14583618C22semidirect
47. #14583606C22semidirect
76. #14583291C22semidirect
78. #14583290C22semidirect
80. #14583287C22semidirect
84. #14583266C22semidirect
87. #14583262C22semidirect
89. #14583259C22semidirect
91. #14583258C22semidirect
100. #14583209C22semidirect
101. #14583208C22semidirect
103. #14583198C22semidirect
105. #14583197C22semidirect
106. #14583195C22semidirect
107. #14583194C22semidirect
109. #14583180C22semidirect
111. #14583179C22semidirect
114. #14583122C22semidirect
118. #14583118C22semidirect
119. #14583118C22semidirect
121. #14583114C22semidirect
125. #14583111C22semidirect
126. #14583108C22semidirect
127. #14583107C22semidirect
128. #14583107C22semidirect
129. #14583107C22semidirect
130. #14583103C22semidirect
131. #14583102C22semidirect
137. #14583097C22semidirect
138. #14583097C22semidirect
154. #14583030C22semidirect
155. #14583029C22semidirect
156. #14583028C22semidirect
157. #14583028C22semidirect
158. #14583027C22semidirect
159. #14583027C22semidirect
160. #14583026C22semidirect
162. #14583004C22semidirect
165. #14583002C22semidirect
167. #14583001C22semidirect
170. #14583000C22semidirect
171. #14583000C22semidirect
173. #14582999C22semidirect
174. #14582996C22semidirect
175. C4×Dic172C22semidirect
176. Q16×Dic43C22semidirect
177. C4×#10621885C22semidirect
178. #14582991C22semidirect
179. C4×#10621884C22semidirect
180. D8×Dic43C22semidirect
181. #14582979C22semidirect
189. C43×#556C22semidirect
190. C43×#497C22semidirect
194. C43×#464C22semidirect
195. C43×#463C22semidirect
196. C43×#463C22semidirect
199. C43×#446C22semidirect
201. C43×#441C22semidirect
202. C4×SD16×C43C22semidirect
835. #3401D43semidirect
885. #556C2×D43semidirect
919. #497C2×D43semidirect
964. #464C2×D43semidirect
971. #463C2×D43semidirect
972. #463C2×D43semidirect
1010. #446C2×D43semidirect
1014. #441C2×D43semidirect
1032. C4×SD16C2×D43semidirect
1041. C43#61939semidirect

Maximal subgroups

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

subgroupindex
#191490712
#191484432
#191476772
#191476742
#191476612
#191476452
#191476432
#191476182
#191476122
#191474422
#191474342
#191474112
#191474052
#191473532
#191473452
#191473282
#191473222
#191456842
#191456822
#191456662
#191456642
#191456312
#191456012
#191448562
#191448542
#191448072
#191448052
#191447312
#191446932
#191436982
C43×#34012
#6193943