Finite Group Databasebeta

← #25979983

Subgroups — #25979983

Order 11008.

1826 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148579C211yesmaximal, characteristic, complemented
2#19148543C211yesmaximal, characteristic, complemented
3#19147658C211yesmaximal, characteristic, complemented
4#19147511C211yesmaximal, characteristic, complemented
5#19147369C211yesmaximal, characteristic, complemented
6#19147311C211yesmaximal, characteristic, complemented
7#19147214C211yesmaximal, characteristic, complemented
8#19147129C211yesmaximal, characteristic, complemented
9#19147089C211yesmaximal, characteristic, complemented
10#19146890C211yesmaximal, characteristic, complemented
11#19146776C211yesmaximal, characteristic, complemented
12#19146677C211yesmaximal, characteristic, complemented
13#19146656C211yesmaximal, characteristic, complemented
14#19146617C211yesmaximal, characteristic, complemented
15#19146224C211yesmaximal, characteristic, complemented
16#19146101C211yesmaximal, characteristic, complemented
17#19146094C211yesmaximal, characteristic, complemented
18#19145262C211yesmaximal, characteristic, complemented
19#19145229C211yesmaximal, characteristic, complemented
20#19145185C211yesmaximal, characteristic, complemented
21#19144854C211yesmaximal, characteristic, complemented
22#19144849C211yesmaximal, characteristic, complemented
23#19144827C211yesmaximal, characteristic, complemented
24#19144772C211yesmaximal, characteristic, complemented
25#19144714C211yesmaximal, characteristic, complemented
26#19144697C211yesmaximal, characteristic, complemented
27#19143581C211yesmaximal, characteristic, complemented
28#19143457C211yesmaximal, characteristic, complemented
29#19143420C211yesmaximal, characteristic, complemented
30#19143419C211yesmaximal, characteristic, complemented
31C43×#3322C211yesmaximal, characteristic, complemented
32C2×#13063355C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C22×#10621883C2211yescharacteristic
35#14583631C2211yescharacteristic
36#14583626C2211yescharacteristic, complemented
37#14583620C2211yescharacteristic
38#14583619C2211yescharacteristic, complemented
39#14583616—21no—
40#14583614C2211yescharacteristic
41#14583613C2211yescharacteristic
42#14583608—21no—
43#14583604C2211yescharacteristic, complemented
44#14583592—21no—
45#14583588C2211yescharacteristic
46#14583586—21no—
47#14583575—21no—
48#14583572—21no—
49D4×Dic86C2211yescharacteristic
50D4×Dic86C2211yescharacteristic, complemented
51#14583555—21no—
52#14583555C2211yescharacteristic
53#14583555C2211yescharacteristic, complemented
54#14583537C2211yescharacteristic
55#14583536—21no—
56D4×C22⋊D43C2211yescharacteristic
57#14583522C2211yescharacteristic
58#14583518C2211yescharacteristic
59#14583517—21no—
60#14583516C2211yescharacteristic, complemented
61#14583512C2211yescharacteristic, complemented
62#14583506—21no—
63#14583486—21no—
64#14583484—21no—
65#14583444C2211yescharacteristic
66#14583430—21no—
67#14583430C2211yescharacteristic, complemented
68#14583429—21no—
69#14583429C2211yescharacteristic
70#14583426—21no—
71C2×#13063311—21no—
72#14583378C2211yescharacteristic, complemented
73#14583376C2211yescharacteristic, complemented
74#14583374C2211yescharacteristic
75#14583371C2211yescharacteristic
76#41×Dic43C2211yescharacteristic
77C2×#13063290C2211yescharacteristic, complemented
78#14583309C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583303C2211yescharacteristic, complemented
81#14583294C2211yescharacteristic, complemented
82#14583287C2211yescharacteristic
83#14583280C2211yescharacteristic, complemented
84#14583262C2211yescharacteristic
85#14583260C2211yescharacteristic, complemented
86#14583257C2211yescharacteristic, complemented
87#14583257C2211yescharacteristic, complemented
88#14583250C2211yescharacteristic, complemented
89#14583243C2211yescharacteristic, complemented
90#14583242C2211yescharacteristic, complemented
91#14583241C2211yescharacteristic, complemented
92#14583241C2211yescharacteristic, complemented
93#14583233C2211yescharacteristic, complemented
94#14583223C2211yescharacteristic
95#14583220C2211yescharacteristic, complemented
96#14583220C2211yescharacteristic, complemented
97#14583212C2211yescharacteristic, complemented
98#14583211C2211yescharacteristic
99#14583204C2211yescharacteristic, complemented
100#14583197C2211yescharacteristic
101#14583196C2211yescharacteristic, complemented
102#14583195C2211yescharacteristic, complemented
103#14583193C2211yescharacteristic, complemented
104#14583193C2211yescharacteristic, complemented
105#14583193C2211yescharacteristic, complemented
106#14583187C2211yescharacteristic, complemented
107#14583183C2211yescharacteristic, complemented
108#14583179C2211yescharacteristic, complemented
109#14583177C2211yescharacteristic
110#14583156C2211yescharacteristic, complemented
111#14583150C2211yescharacteristic, complemented
112#14583145C2211yescharacteristic
113#14583145C2211yescharacteristic, complemented
114#14583144C2211yescharacteristic
115#14583143C2211yescharacteristic, complemented
116#14583139C2211yescharacteristic, complemented
117#14583138C2211yescharacteristic, complemented
118#14583133C2211yescharacteristic
119#14583127C2211yescharacteristic
120#14583124C2211yescharacteristic, complemented
121#14583124C2211yescharacteristic, complemented
122#14583119C2211yescharacteristic, complemented
123#14583118C2211yescharacteristic, complemented
124#14583112C2211yescharacteristic
125#14583112C2211yescharacteristic
126#14583112C2211yescharacteristic, complemented
127#14583105C2211yescharacteristic, complemented
128#14583104C2211yescharacteristic
129#14583098C2211yescharacteristic
130#14583098C2211yescharacteristic
131#14583061C2211yescharacteristic
132#14583058C2211yescharacteristic, complemented
133#14583054C2211yescharacteristic, complemented
134#14583051C2211yescharacteristic
135#14583051C2211yescharacteristic
136#14583050C2211yescharacteristic
137#14583041C2211yescharacteristic
138#14583040C2211yescharacteristic
139#14583040C2211yescharacteristic, complemented
140#14583037C2211yescharacteristic, complemented
141#14583029C2211yescharacteristic, complemented
142#14583028C2211yescharacteristic, complemented
143#14583011C2211yescharacteristic
144#14583009C2211yescharacteristic, complemented
145#14583003C2211yescharacteristic, complemented
146#14583003C2211yescharacteristic, complemented
147#14583003C2211yescharacteristic, complemented
148#14583000C2211yescharacteristic, complemented
149#14582999C2211yescharacteristic
150#14582998C2211yescharacteristic, complemented
151#14582998C2211yescharacteristic, complemented
152#14582996C2211yescharacteristic
153#14582996C2211yescharacteristic
154#14582996C2211yescharacteristic
155#14582996C2211yescharacteristic
156#14582996C2211yescharacteristic, complemented
157#14582996C2211yescharacteristic, complemented
158#14582996C2211yescharacteristic, complemented
159#14582991C2211yescharacteristic, complemented
160#14582991C2211yescharacteristic, complemented
161#14582990C2211yescharacteristic
162#14582990C2211yescharacteristic
163#14582990C2211yescharacteristic
164#14582990C2211yescharacteristic, complemented
165#14582990C2211yescharacteristic, complemented
166C4×#10621873C2211yescharacteristic, complemented
167#14582986C2211yescharacteristic, complemented
168D8×Dic43C2211yescharacteristic, complemented
169#14582979C2211yescharacteristic, complemented
170#14582974C2211yescharacteristic, complemented
171#14582971C2211yescharacteristic, complemented
172#14582968C2211yescharacteristic
173#14582968C2211yescharacteristic, complemented
174#14582967C2211yescharacteristic
175#14582959C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582940C2211yescharacteristic, complemented
179#14582939C2211yescharacteristic, complemented
180#14582935C2211yescharacteristic, complemented
181#14582909C2211yescharacteristic, complemented
182#14582909C2211yescharacteristic, complemented
183#14582892C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic
185#14582857C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187M16×Dic43C2211yescharacteristic, complemented
188C43×#553C2211yescharacteristic, complemented
189C43×#546C2211yescharacteristic
190C43×#488C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#480C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic
194C43×#469C2211yescharacteristic, complemented
195C43×#468C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic, complemented
197C43×#449C2211yescharacteristic
198C43×#447C2211yescharacteristic
199C4×D8×C43C2211yescharacteristic
200C43×#436C2211yescharacteristic, complemented
201C43×#418C2211yescharacteristic
202C43×#417C2211yescharacteristic
203C2×#10621900—21no—
204C2×#10621900C2311yescharacteristic
205C22×Dic86—21no—
206C22×Dic86C2311yescharacteristic
207C22×Dic86C2311yescharacteristic
208C22×C22⋊D43—21no—
209C2×D4×D43C2311yescharacteristic
210#13063355—24no—
211#13063349—24no—
212C2×#10621885C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621883—24no—
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621883C2311yescharacteristic
224C2×#10621883C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621877C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C22×C43⋊C8C2311yescharacteristic
229C2×C8×D43C2311yescharacteristic
230#13063325C2311yescharacteristic
231#13063325C2311yescharacteristic
232#13063324—21no—
233#13063324—21no—
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063321C2311yescharacteristic
238#13063320—21no—
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320D411yescharacteristic
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318D411yescharacteristic
251#13063317—21no—
252#13063316—21no—
253#13063316—21no—
254#13063316C2311yescharacteristic
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315D411yescharacteristic
259#13063314C2311yescharacteristic
260#13063312—21no—
261#13063312—21no—
262#13063312C2311yescharacteristic
263#13063312C2311yescharacteristic
264#13063311—21no—
265#13063311—21no—
266#13063311—21no—
267#13063311—21no—
268#13063311—21no—
269#13063311—21no—
270#13063311—21no—
271#13063311—21no—
272#13063311—21no—
273#13063311—21no—
274#13063311D411yescharacteristic
275#13063309—21no—
276#13063309—21no—
277#13063309D411yescharacteristic
278#13063308—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063306—21no—
283#13063306—21no—
284#13063306D411yescharacteristic
285#13063305—21no—
286#13063305C2311yescharacteristic
287#13063305C2311yescharacteristic
288#13063304—21no—
289#13063304—21no—
290#13063304—21no—
291#13063304C2311yescharacteristic
292#13063304C2311yescharacteristic
293#13063303—21no—
294#13063302—21no—
295#13063302—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063302—21no—
300#13063302—21no—
301#13063302—21no—
302#13063302D411yescharacteristic
303#13063301C2311yescharacteristic
304#13063299C2311yescharacteristic
305#13063299C2311yescharacteristic
306#13063297—21no—
307#13063297—21no—
308#13063297—21no—
309#13063297—21no—
310#13063297—21no—
311#13063297—21no—
312#13063297D411yescharacteristic
313#13063296—21no—
314#13063296C2311yescharacteristic
315#13063294—21no—
316#13063293—21no—
317#13063293—21no—
318Q8×Dic43C2311yescharacteristic
319Q8×Dic43C2311yescharacteristic
320C4×Dic86—21no—
321C4×Dic86—21no—
322C4×Dic86C2311yescharacteristic
323C4×Dic86C2311yescharacteristic
324#13063290—21no—
325#13063290—21no—
326#13063290—21no—
327#13063290—21no—
328#13063290C2311yescharacteristic
329#13063290C2311yescharacteristic
330#13063290C2311yescharacteristic
331#13063290C2311yescharacteristic
332#13063290C2311yescharacteristic
333#13063290C2311yescharacteristic
334#13063290C2311yescharacteristic
335C4×D172C2311yescharacteristic
336D4×Dic43—21no—
337D4×Dic43—21no—
338D4×Dic43—21no—
339D4×Dic43—21no—
340D4×Dic43—21no—
341D4×Dic43—21no—
342D4×Dic43—21no—
343D4×Dic43—21no—
344D4×Dic43C2311yescharacteristic
345D4×Dic43C2311yescharacteristic
346D4×Dic43C2311yescharacteristic
347D4×Dic43C2311yescharacteristic
348D4×Dic43C2311yescharacteristic
349D4×Dic43C2311yescharacteristic
350#13063287C2311yescharacteristic
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43C2311yescharacteristic
355C4×C22⋊D43C2311yescharacteristic
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360#13063284—21no—
361#13063284—21no—
362#13063284C2311yescharacteristic
363#13063284C2311yescharacteristic
364#13063284C2311yescharacteristic
365#13063283—21no—
366#13063283C2311yescharacteristic
367#13063282—21no—
368#13063282C2311yescharacteristic
369#13063281—21no—
370#13063281—21no—
371#13063281—21no—
372#13063281—21no—
373#13063281—21no—
374C2×Dic43⋊C4—21no—
375C2×Dic43⋊C4—21no—
376C4⋊C4×D43C2311yescharacteristic
377C2×C22⋊Dic43—21no—
378C2×C22⋊Dic43—21no—
379C2×(C2×D43)⋊C4—21no—
380C2×(C2×D43)⋊C4—21no—
381C22⋊C4×D43—21no—
382C2×C4×Dic43—21no—
383C2×C4×Dic43—21no—
384C2×C4×Dic43C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C22×D4×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×D8×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C2×M16×C43C2311yescharacteristic
444C2×M16×C43C2311yescharacteristic
445#126×C43—21no—
446#125×C43C2311yescharacteristic
447#124×C43C2311yescharacteristic
448#123×C43—21no—
449#123×C43—21no—
450C22⋊Q8×C43C2311yescharacteristic
451#121×C43—21no—
452#121×C43—21no—
453#121×C43C2311yescharacteristic
454#121×C43C2311yescharacteristic
455#121×C43C2311yescharacteristic
456#120×C43—21no—
457C4×D4×C43—21no—
458C4×D4×C43C2311yescharacteristic
459C4×D4×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461#117×C43C2311yescharacteristic
462C2×C4⋊C4×C43C2311yescharacteristic
463C2×C22⋊C4×C43—21no—
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C24×C43—21no—
482C23×D43—21no—
483#41×C43—22no—
484#41×C43—41no—
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—22no—
492C2×D4×C43—41no—
493C2×D4×C43C2×D411yescharacteristic
494C2×D4×C43C2411yescharacteristic
495C2×D4×C43C2411yescharacteristic
496C2×D4×C43C2411yescharacteristic
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43—21no—
501C22×C4×C43C2411yescharacteristic
502C22×C4×C43C2411yescharacteristic
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—82no—
511C2×C22⋊D43C2×D411yescharacteristic
512C2×C22⋊D43C2×D411yescharacteristic
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43—21no—
521C22×Dic43—21no—
522C22×Dic43C2×D411yescharacteristic
523C22×Dic43C2×D411yescharacteristic
524#10621900—22no—
525#10621900—41no—
526#10621900—82no—
527D4×D43—22no—
528D4×D43—41no—
529C2×D172C2411yescharacteristic
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43C2411yescharacteristic
534C2×Dic86—22no—
535C2×Dic86—22no—
536C2×Dic86—21no—
537C2×Dic86—21no—
538C2×Dic86—21no—
539C2×Dic86—21no—
540C2×Dic86—21no—
541C2×Dic86—21no—
542C2×Dic86—41no—
543C2×Dic86—41no—
544C2×Dic86—82no—
545C2×Dic86C2×D411yescharacteristic
546C2×Dic86C2411yescharacteristic
547C2×Dic86C2411yescharacteristic
548C2×Dic86C2411yescharacteristic
549SD16×C43—41no—
550D8×C43—22no—
551D8×C43—41no—
552M16×C43—41no—
553M16×C43—41no—
554C2×C8×C43C2411yescharacteristic
555C2×C8×C43C2411yescharacteristic
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43C2×D411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43C2×D411yescharacteristic
577C22⋊C4×C43C2×D411yescharacteristic
578C42×C43—21no—
579C42×C43C2411yescharacteristic
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43C2×D411yescharacteristic
596C22⋊Dic43C2×D411yescharacteristic
597C22⋊Dic43C2×D411yescharacteristic
598C22⋊Dic43C2×D411yescharacteristic
599#10621885—22no—
600#10621885—22no—
601#10621885—41no—
602#10621883—22no—
603#10621883—22no—
604#10621883—22no—
605#10621883—22no—
606#10621883—41no—
607#10621883#4114yescomplemented
608#10621882—22no—
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)⋊C4C2×D411yescharacteristic
620(C2×D43)⋊C4C2×D411yescharacteristic
621(C2×D43)⋊C4C2×D411yescharacteristic
622(C2×D43)⋊C4C2×D411yescharacteristic
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43C2×D411yescharacteristic
632C4⋊Dic43C2×D411yescharacteristic
633C4⋊Dic43C2×D411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
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×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C4×Dic43C2411yescharacteristic
678#10621877—22no—
679C2×C43⋊C8—22no—
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684#10621873—22no—
685#10621873—41no—
686#10621873—41no—
687#10621872—22no—
688C8×D43—41no—
689C23×C43—21no—
690C23×C43—21no—
691C23×C43—21no—
692C23×C43—42no—
693C23×C43—81no—
694C23×C43—81no—
695C23×C43C22×D411yescharacteristic
696C23×C43C22×D411yescharacteristic
697C22×D43—21no—
698C22×D43—42no—
699C22×D43—81no—
700C22×D43—81no—
701C22×D43C22×D411yescharacteristic
702Q8×C43—21no—
703Q8×C43—21no—
704D4×C43—21no—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—41no—
710D4×C43—42no—
711D4×C43—42no—
712D4×C43—42no—
713D4×C43—81no—
714D4×C43—81no—
715D4×C43C2×#4112yes—
716C2×C4×C43—21no—
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—21no—
725C2×C4×C43—42no—
726C2×C4×C43—81no—
727C2×C4×C43—81no—
728C2×C4×C43—81no—
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C2511yescharacteristic
734C22⋊D43—41no—
735C22⋊D43—41no—
736C22⋊D43—42no—
737C22⋊D43—42no—
738C22⋊D43—42no—
739C22⋊D43—81no—
740C22⋊D43—81no—
741C22⋊D43—81no—
742C22⋊D43—81no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—41no—
751C2×Dic43—41no—
752C2×Dic43—42no—
753C2×Dic43—42no—
754C2×Dic43—42no—
755C2×Dic43—42no—
756C2×Dic43—81no—
757C2×Dic43—81no—
758C2×Dic43—81no—
759C2×Dic43—81no—
760C2×Dic43—81no—
761C2×Dic43C22×D411yescharacteristic
762C2×Dic43C22×D411yescharacteristic
763C2×Dic43C22×D411yescharacteristic
764C2×Dic43C22×D411yescharacteristic
765C2×Dic43C22×D411yescharacteristic
766C2×Dic43C22×D411yescharacteristic
767C2×Dic43C22×D411yescharacteristic
768D172—21no—
769D172—21no—
770C4×D43—21no—
771C4×D43—21no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43—81no—
775Dic86—21no—
776Dic86—21no—
777Dic86—21no—
778Dic86—21no—
779Dic86—21no—
780Dic86—41no—
781Dic86—42no—
782Dic86—42no—
783Dic86—42no—
784Dic86—81no—
785Dic86—81no—
786Dic86—81no—
787Dic86C2×#4112yes—
788C8×C43—21no—
789C8×C43—21no—
790C8×C43—21no—
791C8×C43—21no—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8C2×#4112yes—
796#61513—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—21no—
801C22×C43—22no—
802C22×C43—21no—
803C22×C43—21no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43—162no—
813C22×C43C23×D411yescharacteristic
814C2×D43—21no—
815C2×D43—21no—
816C2×D43—21no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—41no—
820C2×D43—162no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—41no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43C22×#4111yescharacteristic
831C4×C43#58511yescharacteristic
832Dic43—21no—
833Dic43—21no—
834Dic43—21no—
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—22no—
839Dic43—21no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846#3516—431no—
847#3514—431no—
848#3401—431no—
849#3386—431no—
850#3371—431no—
851#3367—431no—
852#3357—431no—
853#3349—431no—
854#3347—431no—
855#3329—431no—
856#3322D4311yescharacteristic, complemented
857#3321—431no—
858#3314—431no—
859#3313—431no—
860#3310—431no—
861#3275—431no—
862#3266—431no—
863#3265—431no—
864#3178—431no—
865#3175—431no—
866#3171—431no—
867#3124—431no—
868#3123—431no—
869#3121—431no—
870#3118—431no—
871#3112—431no—
872#3111—431no—
873#2967—431no—
874#2949—431no—
875#2946—431no—
876C4×#137—431no—
877C2×C43—42no—
878C2×C43—41no—
879C2×C43—41no—
880C2×C43—81no—
881C2×C43—81no—
882C2×C43D4×#4111yescharacteristic
883C2×C43#358511yescharacteristic
884C2×C43#358611yescharacteristic
885D43—41no—
886D43—81no—
887C2×#137—431no—
888C2×AGL(1,ℤ/8)—431no—
889C22×SD16—431no—
890#559—431no—
891#557—431no—
892#556—431no—
893#556—431no—
894#556—861no—
895#555—431no—
896#555—431no—
897#554—431no—
898#554—861no—
899#553—861no—
900#553C2×D4311yescharacteristic, complemented
901#552—431no—
902#552—861no—
903#551—861no—
904#551—861no—
905D4×Q8—431no—
906D4×Q8—431no—
907#548—431no—
908#548—431no—
909#548—861no—
910#546—431no—
911#546—861no—
912#546C2×D4311yescharacteristic
913D42—431no—
914#542—431no—
915#542—431no—
916#542—431no—
917#542—861no—
918#541—431no—
919#541—861no—
920#538—861no—
921#538—861no—
922#532—431no—
923#529—431no—
924#529—431no—
925#529—861no—
926#529—861no—
927#529—861no—
928C2×#124—861no—
929#520—431no—
930#519—431no—
931#518—431no—
932#518—431no—
933C4×#41—431no—
934C2×C4×Q8—431no—
935#501—431no—
936#501—431no—
937#500—431no—
938#497—431no—
939#496—431no—
940#495—431no—
941#490—431no—
942#489—431no—
943#489—431no—
944#489—431no—
945#488C2×D4311yescharacteristic, complemented
946#487—431no—
947#485—431no—
948#485—431no—
949#485—431no—
950#485—431no—
951#485C2×D4311yescharacteristic, complemented
952#484—431no—
953#482—431no—
954#482—431no—
955#482—431no—
956#480—431no—
957#480—431no—
958#480C2×D4311yescharacteristic, complemented
959#479—431no—
960#478—431no—
961#478—431no—
962#478C2×D4311yescharacteristic
963#477—431no—
964#477—431no—
965#477—431no—
966#477—431no—
967#476—431no—
968#475—431no—
969#474—431no—
970#474—431no—
971#470—431no—
972#469—431no—
973#469C2×D4311yescharacteristic, complemented
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#468C2×D4311yescharacteristic, complemented
979#467—431no—
980#467—431no—
981#466—431no—
982#465—431no—
983#464—431no—
984#464—431no—
985#464—431no—
986#464—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#463C2×D4311yescharacteristic, complemented
991#461—431no—
992#461—431no—
993#460—431no—
994#460—431no—
995#452—431no—
996#452—431no—
997#451—431no—
998#450—431no—
999#450—431no—
1000#450—431no—
1001#449—431no—
1002#449C2×D4311yescharacteristic
1003#448—431no—
1004#448—431no—
1005#448—431no—
1006#447C2×D4311yescharacteristic
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#441—431no—
1012#441—431no—
1013#441—431no—
1014#440—431no—
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—
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×SD16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×SD16—431no—
1034C4×D8—431no—
1035C4×D8—431no—
1036C4×D8C2×D4311yescharacteristic
1037#436—431no—
1038#436C2×D4311yescharacteristic, complemented
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#435—431no—
1043#433—431no—
1044#433—431no—
1045#432—431no—
1046#428—431no—
1047#428—431no—
1048#427—431no—
1049#419—431no—
1050#419—431no—
1051#418C2×D4311yescharacteristic
1052#417C2×D4311yescharacteristic
1053#416—431no—
1054C2×#102—431no—
1055#405—431no—
1056#405—431no—
1057C4×M16—431no—
1058C43#6151311yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—861no—
1061C2×#41C22×D4311yescharacteristic
1062C22×Q8—431no—
1063C22×Q8—431no—
1064C22×Q8—861no—
1065C22×D4—431no—
1066C22×D4—861no—
1067C22×D4C22×D4311yescharacteristic
1068#137—864no—
1069AGL(1,ℤ/8)—864no—
1070C2×Q16—431no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×SD16—431no—
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—431no—
1082C2×SD16—864no—
1083C2×SD16C22×D4311yescharacteristic
1084C2×D8—431no—
1085C2×D8C22×D4311yescharacteristic
1086C2×D8C22×D4311yescharacteristic
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16C22×D4311yescharacteristic
1090C2×M16C22×D4311yescharacteristic
1091C22×C8—431no—
1092C22×C8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—431no—
1097C4⋊Q8—431no—
1098C4⋊Q8—861no—
1099C4⋊Q8—861no—
1100#127—431no—
1101#126—21no—
1102#126—431no—
1103#126—431no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#126—861no—
1110#126—861no—
1111#126—861no—
1112#126—861no—
1113#126—861no—
1114#126—861no—
1115#125—431no—
1116#125—431no—
1117#125—861no—
1118#125—861no—
1119#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125C22×D4311yescharacteristic
1124#124—431no—
1125#124—431no—
1126#124—431no—
1127#124—431no—
1128#124—861no—
1129#124—861no—
1130#124—861no—
1131#124—861no—
1132#124—861no—
1133#124—861no—
1134#124—861no—
1135#124—861no—
1136#124—861no—
1137#124—861no—
1138#124—861no—
1139#124—861no—
1140#124C22×D4311yescharacteristic
1141#123—21no—
1142#123—21no—
1143#123—431no—
1144#123—431no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151#123—861no—
1152#123—861no—
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—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8—861no—
1172C22⋊Q8C22×D4311yescharacteristic
1173#121—21no—
1174#121—21no—
1175#121—431no—
1176#121—431no—
1177#121—431no—
1178#121—431no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121C22×D4311yescharacteristic
1187#121C22×D4311yescharacteristic
1188#121C22×D4311yescharacteristic
1189#120—21no—
1190#120—861no—
1191#120—861no—
1192#120—861no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—431no—
1201C4×Q8—431no—
1202C4×Q8—431no—
1203C4×Q8—431no—
1204C4×Q8—861no—
1205C4×Q8—861no—
1206C4×Q8—861no—
1207C4×Q8—861no—
1208C4×Q8—861no—
1209C4×Q8—861no—
1210C4×D4—21no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—431no—
1219C4×D4—431no—
1220C4×D4—431no—
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×D4—861no—
1230C4×D4—861no—
1231C4×D4—861no—
1232C4×D4—861no—
1233C4×D4—861no—
1234C4×D4—861no—
1235C4×D4—861no—
1236C4×D4C22×D4311yescharacteristic
1237C4×D4C22×D4311yescharacteristic
1238C4×D4C22×D4311yescharacteristic
1239#117—431no—
1240#117—431no—
1241#117—431no—
1242#117—431no—
1243#117—431no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248#117—861no—
1249#117—861no—
1250#117—861no—
1251#117—861no—
1252#117—861no—
1253#117C22×D4311yescharacteristic
1254C2×C4⋊C4—431no—
1255C2×C4⋊C4—861no—
1256C2×C4⋊C4—861no—
1257C2×C4⋊C4C22×D4311yescharacteristic
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—861no—
1260C2×C22⋊C4—861no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C42—431no—
1265C2×C42—861no—
1266C2×C42—861no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#107—431no—
1275#107C22×D4311yescharacteristic
1276#107C22×D4311yescharacteristic
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106—431no—
1282#106C22×D4311yescharacteristic
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288C4⋊C8C22×D4311yescharacteristic
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103—431no—
1301#103—431no—
1302#103C22×D4311yescharacteristic
1303#103C22×D4311yescharacteristic
1304#103C22×D4311yescharacteristic
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102C22×D4311yescharacteristic
1315#102C22×D4311yescharacteristic
1316#102C22×D4311yescharacteristic
1317#102C22×D4311yescharacteristic
1318#102C22×D4311yescharacteristic
1319#102C22×D4311yescharacteristic
1320#102C22×D4311yescharacteristic
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8C22×D4311yescharacteristic
1326C22⋊C8C22×D4311yescharacteristic
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97—431no—
1332#97—431no—
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8—431no—
1336C4×C8C22×D4311yescharacteristic
1337C24—21no—
1338C24—861no—
1339#41—22no—
1340#41—41no—
1341#41—862no—
1342#41—3442no—
1343#41—1721no—
1344C2×Q8—431no—
1345C2×Q8—431no—
1346C2×Q8—431no—
1347C2×Q8—431no—
1348C2×Q8—861no—
1349C2×Q8—861no—
1350C2×Q8—861no—
1351C2×Q8—862no—
1352C2×Q8—862no—
1353C2×Q8—861no—
1354C2×Q8—861no—
1355C2×Q8—861no—
1356C2×Q8—3442no—
1357C2×Q8—1721no—
1358C2×Q8—1721no—
1359C2×Q8C23×D4311yescharacteristic
1360C2×D4—22no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—41no—
1367C2×D4—431no—
1368C2×D4—431no—
1369C2×D4—431no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—862no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—3442no—
1379C2×D4—1721no—
1380C2×D4D4×D4311yescharacteristic
1381C2×D4C23×D4311yescharacteristic
1382C2×D4C23×D4311yescharacteristic
1383C2×D4C23×D4311yescharacteristic
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—431no—
1389C22×C4—431no—
1390C22×C4—431no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4C23×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405Q16—862no—
1406Q16—862no—
1407Q16—1721no—
1408SD16—41no—
1409SD16—434no—
1410SD16—862no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—862no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—22no—
1419D8—41no—
1420D8—862no—
1421M16—41no—
1422M16—41no—
1423M16—862no—
1424M16—862no—
1425C2×C8—431no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—862no—
1430C2×C8—1721no—
1431C2×C8C23×D4311yescharacteristic
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—431no—
1440C4⋊C4—431no—
1441C4⋊C4—431no—
1442C4⋊C4—431no—
1443C4⋊C4—431no—
1444C4⋊C4—431no—
1445C4⋊C4—431no—
1446C4⋊C4—431no—
1447C4⋊C4—431no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4D4×D4311yescharacteristic
1477C4⋊C4C23×D4311yescharacteristic
1478C4⋊C4C23×D4311yescharacteristic
1479C4⋊C4C23×D4311yescharacteristic
1480C4⋊C4C23×D4311yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—431no—
1491C22⋊C4—431no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1524C22⋊C4D4×D4311yescharacteristic
1525C42—21no—
1526C42—431no—
1527C42—431no—
1528C42—431no—
1529C42—431no—
1530C42—431no—
1531C42—861no—
1532C42—861no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42—861no—
1544C42C23×D4311yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—42no—
1549C23—81no—
1550C23—81no—
1551C23—431no—
1552C23—861no—
1553C23—3441no—
1554C23—3441no—
1555C23—1722no—
1556C23C2×D4×D4311yescharacteristic
1557C23C2×D4×D4311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—432no—
1561Q8—861no—
1562Q8—861no—
1563Q8—861no—
1564Q8—861no—
1565Q8—861no—
1566Q8—3441no—
1567Q8—3441no—
1568Q8—3441no—
1569Q8—1721no—
1570Q8—1722no—
1571Q8—1722no—
1572Q8—1722no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—21no—
1578D4—41no—
1579D4—42no—
1580D4—42no—
1581D4—42no—
1582D4—81no—
1583D4—81no—
1584D4—861no—
1585D4—861no—
1586D4—3441no—
1587D4—3441no—
1588D4—3441no—
1589D4—3441no—
1590D4—1721no—
1591D4—1721no—
1592D4—1722no—
1593D4—1722no—
1594D4—1722no—
1595D4#41×D4312yes—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—42no—
1606C2×C4—81no—
1607C2×C4—81no—
1608C2×C4—81no—
1609C2×C4—431no—
1610C2×C4—431no—
1611C2×C4—431no—
1612C2×C4—431no—
1613C2×C4—431no—
1614C2×C4—431no—
1615C2×C4—431no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—861no—
1623C2×C4—861no—
1624C2×C4—861no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—3441no—
1632C2×C4—3441no—
1633C2×C4—1721no—
1634C2×C4—1721no—
1635C2×C4—1722no—
1636C2×C4—1722no—
1637C2×C4—1722no—
1638C2×C4—1722no—
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C2×D4×D4311yescharacteristic
1643C2×C4C24×D4311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—432no—
1649C8—861no—
1650C8—861no—
1651C8—861no—
1652C22—21no—
1653C22—21no—
1654C22—22no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—162no—
1668C22—861no—
1669C22—861no—
1670C22—861no—
1671C22—1721no—
1672C22—1721no—
1673C22—1721no—
1674C22—6882no—
1675C22C22×D4×D4311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—861no—
1686C4—862no—
1687C4—861no—
1688C4—861no—
1689C4—861no—
1690C4—861no—
1691C4—861no—
1692C4—861no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C2×#41×D4311yescharacteristic
1700C4#1458373411yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—42no—
1704C2—81no—
1705C2—81no—
1706C2—3441no—
1707C2—1721no—
1708C2#1914807911yescharacteristic
1709C2#1914937011yescharacteristic
1710C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3322C2
socleC22×C43C23×D4
hypercenter#3322D43
hypocenterC43#61513
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. #19148579C2semidirect
2. #19148543C2semidirect
3. #19147658C2semidirect
4. #19147511C2semidirect
5. #19147369C2semidirect
6. #19147311C2semidirect
7. #19147214C2semidirect
8. #19147129C2semidirect
9. #19147089C2semidirect
10. #19146890C2semidirect
11. #19146776C2semidirect
12. #19146677C2semidirect
13. #19146656C2semidirect
14. #19146617C2semidirect
15. #19146224C2semidirect
16. #19146101C2semidirect
17. #19146094C2semidirect
18. #19145262C2semidirect
19. #19145229C2semidirect
20. #19145185C2semidirect
21. #19144854C2semidirect
22. #19144849C2semidirect
23. #19144827C2semidirect
24. #19144772C2semidirect
25. #19144714C2semidirect
26. #19144697C2semidirect
27. #19143581C2semidirect
28. #19143457C2semidirect
29. #19143420C2semidirect
30. #19143419C2semidirect
31. C43×#3322C2semidirect
36. #14583626C22semidirect
38. #14583619C22semidirect
43. #14583604C22semidirect
50. D4×Dic86C22semidirect
53. #14583555C22semidirect
60. #14583516C22semidirect
61. #14583512C22semidirect
67. #14583430C22semidirect
72. #14583378C22semidirect
73. #14583376C22semidirect
77. C2×#13063290C22semidirect
78. #14583309C22semidirect
79. #14583306C22semidirect
80. #14583303C22semidirect
81. #14583294C22semidirect
83. #14583280C22semidirect
85. #14583260C22semidirect
86. #14583257C22semidirect
87. #14583257C22semidirect
88. #14583250C22semidirect
89. #14583243C22semidirect
90. #14583242C22semidirect
91. #14583241C22semidirect
92. #14583241C22semidirect
93. #14583233C22semidirect
95. #14583220C22semidirect
96. #14583220C22semidirect
97. #14583212C22semidirect
99. #14583204C22semidirect
101. #14583196C22semidirect
102. #14583195C22semidirect
103. #14583193C22semidirect
104. #14583193C22semidirect
105. #14583193C22semidirect
106. #14583187C22semidirect
107. #14583183C22semidirect
108. #14583179C22semidirect
110. #14583156C22semidirect
111. #14583150C22semidirect
113. #14583145C22semidirect
115. #14583143C22semidirect
116. #14583139C22semidirect
117. #14583138C22semidirect
120. #14583124C22semidirect
121. #14583124C22semidirect
122. #14583119C22semidirect
123. #14583118C22semidirect
126. #14583112C22semidirect
127. #14583105C22semidirect
132. #14583058C22semidirect
133. #14583054C22semidirect
139. #14583040C22semidirect
140. #14583037C22semidirect
141. #14583029C22semidirect
142. #14583028C22semidirect
144. #14583009C22semidirect
145. #14583003C22semidirect
146. #14583003C22semidirect
147. #14583003C22semidirect
148. #14583000C22semidirect
150. #14582998C22semidirect
151. #14582998C22semidirect
156. #14582996C22semidirect
157. #14582996C22semidirect
158. #14582996C22semidirect
159. #14582991C22semidirect
160. #14582991C22semidirect
164. #14582990C22semidirect
165. #14582990C22semidirect
166. C4×#10621873C22semidirect
167. #14582986C22semidirect
168. D8×Dic43C22semidirect
169. #14582979C22semidirect
170. #14582974C22semidirect
171. #14582971C22semidirect
173. #14582968C22semidirect
175. #14582959C22semidirect
176. #14582957C22semidirect
177. #14582953C22semidirect
178. #14582940C22semidirect
179. #14582939C22semidirect
180. #14582935C22semidirect
181. #14582909C22semidirect
182. #14582909C22semidirect
183. #14582892C22semidirect
185. #14582857C22semidirect
186. #14582853C22semidirect
187. M16×Dic43C22semidirect
188. C43×#553C22semidirect
190. C43×#488C22semidirect
191. C43×#485C22semidirect
192. C43×#480C22semidirect
194. C43×#469C22semidirect
195. C43×#468C22semidirect
196. C43×#463C22semidirect
200. C43×#436C22semidirect
607. #10621883#41semidirect
856. #3322D43semidirect
900. #553C2×D43semidirect
945. #488C2×D43semidirect
951. #485C2×D43semidirect
958. #480C2×D43semidirect
973. #469C2×D43semidirect
978. #468C2×D43semidirect
990. #463C2×D43semidirect
1038. #436C2×D43semidirect
1058. C43#61513semidirect

Maximal subgroups

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

subgroupindex
#191485792
#191485432
#191476582
#191475112
#191473692
#191473112
#191472142
#191471292
#191470892
#191468902
#191467762
#191466772
#191466562
#191466172
#191462242
#191461012
#191460942
#191452622
#191452292
#191451852
#191448542
#191448492
#191448272
#191447722
#191447142
#191446972
#191435812
#191434572
#191434202
#191434192
C43×#33222
#6151343