Finite Group Databasebeta

← #25979728

Subgroups — #25979728

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#19148701C211yesmaximal, characteristic, complemented
2#19148623C211yesmaximal, characteristic, complemented
3#19147635C211yesmaximal, characteristic, complemented
4#19147546C211yesmaximal, characteristic, complemented
5#19147351C211yesmaximal, characteristic, complemented
6#19147327C211yesmaximal, characteristic, complemented
7#19147096C211yesmaximal, characteristic, complemented
8#19147096C211yesmaximal, characteristic, complemented
9#19146851C211yesmaximal, characteristic, complemented
10#19146835C211yesmaximal, characteristic, complemented
11#19146779C211yesmaximal, characteristic, complemented
12#19146734C211yesmaximal, characteristic, complemented
13#19146610C211yesmaximal, characteristic, complemented
14#19146595C211yesmaximal, characteristic, complemented
15#19146217C211yesmaximal, characteristic, complemented
16#19146097C211yesmaximal, characteristic, complemented
17#19146097C211yesmaximal, characteristic, complemented
18#19145271C211yesmaximal, characteristic, complemented
19#19145246C211yesmaximal, characteristic, complemented
20#19145183C211yesmaximal, characteristic, complemented
21#19144888C211yesmaximal, characteristic, complemented
22#19144840C211yesmaximal, characteristic, complemented
23#19144789C211yesmaximal, characteristic, complemented
24#19144782C211yesmaximal, characteristic, complemented
25#19144741C211yesmaximal, characteristic, complemented
26#19144736C211yesmaximal, characteristic, complemented
27#19143581C211yesmaximal, characteristic, complemented
28#19143449C211yesmaximal, characteristic, complemented
29#19143425C211yesmaximal, characteristic, complemented
30#19143402C211yesmaximal, characteristic, complemented
31C43×#3351C211yesmaximal, characteristic, complemented
32C2×#13063353C2211yescharacteristic
33C2×#13063353C2211yescharacteristic
34C2×SD16×D43C2211yescharacteristic
35#14583634C2211yescharacteristic, complemented
36#14583633—21no—
37#14583626C2211yescharacteristic, complemented
38#14583612—21no—
39#14583612C2211yescharacteristic
40#14583612C2211yescharacteristic, complemented
41#14583605C2211yescharacteristic
42#14583600—21no—
43#14583600—21no—
44#14583597C2211yescharacteristic
45#14583597C2211yescharacteristic, complemented
46#14583581—21no—
47#14583570C2211yescharacteristic
48#14583570C2211yescharacteristic, complemented
49#14583559C2211yescharacteristic, complemented
50#14583559C2211yescharacteristic, complemented
51#14583544—21no—
52#14583541—21no—
53#14583538—21no—
54D4×D172C2211yescharacteristic
55#14583533C2211yescharacteristic
56#14583533C2211yescharacteristic
57#14583522C2211yescharacteristic, complemented
58#14583515—21no—
59#14583505C2211yescharacteristic
60#14583505C2211yescharacteristic, complemented
61#14583502C2211yescharacteristic
62#14583501—21no—
63#14583488—21no—
64#14583485—21no—
65#14583444C2211yescharacteristic
66#14583435C2211yescharacteristic, complemented
67#14583434—21no—
68#14583429C2211yescharacteristic
69#14583427—21no—
70#14583408—21no—
71#121×D43—21no—
72#14583380C2211yescharacteristic, complemented
73#14583375C2211yescharacteristic, complemented
74#14583373C2211yescharacteristic
75#14583371C2211yescharacteristic
76#14583367C2211yescharacteristic, complemented
77C2×#13063287C2211yescharacteristic
78#14583307C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583285C2211yescharacteristic, complemented
81#14583285C2211yescharacteristic, complemented
82#14583276C2211yescharacteristic, complemented
83#14583265C2211yescharacteristic, complemented
84#14583265C2211yescharacteristic, complemented
85#14583262C2211yescharacteristic, complemented
86#14583260C2211yescharacteristic, complemented
87#14583255C2211yescharacteristic, complemented
88#14583244C2211yescharacteristic, complemented
89#14583226C2211yescharacteristic, complemented
90#14583226C2211yescharacteristic, complemented
91#14583225C2211yescharacteristic, complemented
92#14583225C2211yescharacteristic, complemented
93#14583223C2211yescharacteristic, complemented
94#14583223C2211yescharacteristic, complemented
95#14583212C2211yescharacteristic, complemented
96#14583212C2211yescharacteristic, complemented
97#14583209C2211yescharacteristic, complemented
98#14583203C2211yescharacteristic, complemented
99#14583198C2211yescharacteristic
100#14583198C2211yescharacteristic, complemented
101#14583198C2211yescharacteristic, complemented
102#14583196C2211yescharacteristic
103#14583188C2211yescharacteristic
104#14583183C2211yescharacteristic, complemented
105#14583178C2211yescharacteristic, complemented
106#14583178C2211yescharacteristic, complemented
107#14583153C2211yescharacteristic, complemented
108#14583153C2211yescharacteristic, complemented
109#14583152C2211yescharacteristic, complemented
110#14583152C2211yescharacteristic, complemented
111#14583150C2211yescharacteristic, complemented
112#14583147C2211yescharacteristic, complemented
113#14583136C2211yescharacteristic, complemented
114#14583136C2211yescharacteristic, complemented
115#14583133C2211yescharacteristic, complemented
116#14583130C2211yescharacteristic, complemented
117#14583117C2211yescharacteristic
118#14583117C2211yescharacteristic
119#14583117C2211yescharacteristic, complemented
120#14583117C2211yescharacteristic, complemented
121#14583100C2211yescharacteristic, complemented
122#14583099C2211yescharacteristic, complemented
123#14583098C2211yescharacteristic, complemented
124#14583098C2211yescharacteristic, complemented
125#14583095C2211yescharacteristic
126#14583094C2211yescharacteristic, complemented
127#14583093C2211yescharacteristic, complemented
128#14583093C2211yescharacteristic, complemented
129#14583049C2211yescharacteristic
130#14583049C2211yescharacteristic
131#14583046C2211yescharacteristic, complemented
132#14583046C2211yescharacteristic, complemented
133#14583042C2211yescharacteristic, complemented
134#14583042C2211yescharacteristic, complemented
135#14583039C2211yescharacteristic, complemented
136#14583039C2211yescharacteristic, complemented
137#14583035C2211yescharacteristic
138#14583035C2211yescharacteristic
139#14583034C2211yescharacteristic
140#14583034C2211yescharacteristic
141#14583029C2211yescharacteristic, complemented
142#14583028C2211yescharacteristic, complemented
143#14583010C2211yescharacteristic
144#14583010C2211yescharacteristic
145#14583010C2211yescharacteristic, complemented
146#14583010C2211yescharacteristic, complemented
147#14583010C2211yescharacteristic, complemented
148#14583010C2211yescharacteristic, complemented
149#14583008C2211yescharacteristic, complemented
150#14583002C2211yescharacteristic
151#14583002C2211yescharacteristic, complemented
152#14582999C2211yescharacteristic, complemented
153#14582998C2211yescharacteristic
154#14582998C2211yescharacteristic
155#14582998C2211yescharacteristic, complemented
156#14582998C2211yescharacteristic, complemented
157#14582997C2211yescharacteristic
158#14582996C2211yescharacteristic, complemented
159C4×#10621873C2211yescharacteristic
160SD16×Dic43C2211yescharacteristic, complemented
161#14582986C2211yescharacteristic
162#14582986C2211yescharacteristic, complemented
163#14582986C2211yescharacteristic, complemented
164#14582984C2211yescharacteristic, complemented
165#14582981C2211yescharacteristic
166#14582981C2211yescharacteristic
167#14582981C2211yescharacteristic, complemented
168#14582981C2211yescharacteristic, complemented
169#14582979C2211yescharacteristic, complemented
170#14582974C2211yescharacteristic, complemented
171#14582971C2211yescharacteristic, complemented
172#14582968C2211yescharacteristic, complemented
173#14582968C2211yescharacteristic, complemented
174#14582967C2211yescharacteristic, complemented
175#14582959C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582934C2211yescharacteristic, complemented
179#14582906C2211yescharacteristic, complemented
180#14582903C2211yescharacteristic
181#14582902C2211yescharacteristic
182#14582898C2211yescharacteristic, complemented
183#14582893C2211yescharacteristic, complemented
184C2×#13063245C2211yescharacteristic
185#14582857C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187M16×Dic43C2211yescharacteristic, complemented
188C43×#553C2211yescharacteristic
189C43×#552C2211yescharacteristic, complemented
190C43×#499C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#483C2211yescharacteristic, complemented
193C43×#482C2211yescharacteristic, complemented
194C43×#481C2211yescharacteristic, complemented
195C43×#479C2211yescharacteristic, complemented
196C43×#478C2211yescharacteristic, complemented
197C43×#468C2211yescharacteristic, complemented
198C43×#468C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C43×#436C2211yescharacteristic, complemented
201C43×#428C2211yescharacteristic, complemented
202C43×#428C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621898C2311yescharacteristic
205C2×#10621898C2311yescharacteristic
206C2×#10621900—21no—
207C2×Q8×D43C2311yescharacteristic
208C22×D172C2311yescharacteristic
209C22×D172C2311yescharacteristic
210C2×D4×D43—21no—
211C2×D4×D43—21no—
212C2×D4×D43—21no—
213C2×D4×D43C2311yescharacteristic
214C22×C4×D43—21no—
215#13063353—24no—
216#13063353—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×#10621877C2311yescharacteristic
234C2×#10621872C2311yescharacteristic
235C22×C43⋊C8C2311yescharacteristic
236C2×C8×D43C2311yescharacteristic
237#13063324—21no—
238#13063324C2311yescharacteristic
239#13063324C2311yescharacteristic
240#13063322C2311yescharacteristic
241#13063322C2311yescharacteristic
242#13063321—21no—
243#13063321C2311yescharacteristic
244#13063321C2311yescharacteristic
245#13063320—21no—
246#13063320—21no—
247#13063320—21no—
248#13063320—21no—
249#13063320D411yescharacteristic
250#13063318D411yescharacteristic
251#13063316C2311yescharacteristic
252#13063316C2311yescharacteristic
253#13063315—21no—
254#13063315—21no—
255#13063315D411yescharacteristic
256#13063314C2311yescharacteristic
257#13063314C2311yescharacteristic
258#13063313—21no—
259#13063313—21no—
260#13063313—21no—
261#13063311—21no—
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063311—21no—
266#13063311—21no—
267#13063311D411yescharacteristic
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#13063309—21no—
277#13063309—21no—
278#13063309D411yescharacteristic
279#13063307—21no—
280#13063307—21no—
281#13063306D411yescharacteristic
282#13063305—21no—
283#13063305—21no—
284#13063303—21no—
285#13063303—21no—
286#13063303—21no—
287#13063303—21no—
288#13063302D411yescharacteristic
289#13063300—21no—
290#13063300—21no—
291#13063300—21no—
292#13063300—21no—
293#13063300—21no—
294#13063300C2311yescharacteristic
295#13063300C2311yescharacteristic
296#13063300C2311yescharacteristic
297#13063300C2311yescharacteristic
298#13063299—21no—
299#13063299—21no—
300#13063299—21no—
301#13063299C2311yescharacteristic
302#13063299C2311yescharacteristic
303#13063299C2311yescharacteristic
304#13063299C2311yescharacteristic
305#13063298—21no—
306#13063298—21no—
307#13063298—21no—
308#13063298—21no—
309#13063298—21no—
310#13063298—21no—
311#13063298—21no—
312#13063298—21no—
313#13063298—21no—
314#13063298—21no—
315#13063297—21no—
316#13063297—21no—
317#13063297D411yescharacteristic
318#13063296—21no—
319#13063295—21no—
320#13063295—21no—
321#13063295—21no—
322#13063295—21no—
323#13063293—21no—
324#13063293—21no—
325Q8×Dic43C2311yescharacteristic
326C4×Dic86—21no—
327C4×Dic86C2311yescharacteristic
328C4×Dic86C2311yescharacteristic
329#13063290—21no—
330#13063290—21no—
331#13063290C2311yescharacteristic
332#13063290C2311yescharacteristic
333#13063290C2311yescharacteristic
334C4×D172—21no—
335C4×D172—21no—
336C4×D172—21no—
337C4×D172C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339#13063287—21no—
340#13063287—21no—
341#13063287—21no—
342#13063287—21no—
343#13063287—21no—
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350#13063287C2311yescharacteristic
351#13063287C2311yescharacteristic
352#13063287C2311yescharacteristic
353#13063287C2311yescharacteristic
354#13063287C2311yescharacteristic
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359C4×C22⋊D43—21no—
360C4×C22⋊D43C2311yescharacteristic
361C4×C22⋊D43C2311yescharacteristic
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365(C22⋊D43)⋊C4—21no—
366(C22⋊D43)⋊C4—21no—
367#13063284C2311yescharacteristic
368#13063283—21no—
369#13063283—21no—
370#13063283—21no—
371#13063283C2311yescharacteristic
372#13063283C2311yescharacteristic
373#13063282—21no—
374#13063282—21no—
375#13063282—21no—
376#13063282—21no—
377#13063282C2311yescharacteristic
378C4⋊C4×D43—21no—
379C4⋊C4×D43—21no—
380C2×(C2×D43)⋊C4—21no—
381C2×(C2×D43)⋊C4—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C22⋊C4×D43—21no—
385C2×C4×Dic43C2311yescharacteristic
386C42×D43—21no—
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
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
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×SD16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C2×M16×C43C2311yescharacteristic
441#126×C43—21no—
442#126×C43—21no—
443#125×C43—21no—
444#125×C43C2311yescharacteristic
445#125×C43C2311yescharacteristic
446#123×C43—21no—
447#123×C43—21no—
448C22⋊Q8×C43C2311yescharacteristic
449C22⋊Q8×C43C2311yescharacteristic
450#121×C43—21no—
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×D4×C43—21no—
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460C2×C4⋊C4×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C23×D43—21no—
484C2×Q8×C43C2411yescharacteristic
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43C2×D411yescharacteristic
488C2×D4×C43C2411yescharacteristic
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43C2411yescharacteristic
493C22×C4×C43C2411yescharacteristic
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43C2×D411yescharacteristic
506C2×C22⋊D43C2×D411yescharacteristic
507C22×Dic43—21no—
508C22×Dic43C2×D411yescharacteristic
509C22×Dic43C2×D411yescharacteristic
510Q8×D43—22no—
511Q8×D43—41no—
512#10621900—82no—
513D4×D43—22no—
514D4×D43—41no—
515D4×D43—82no—
516D4×D43—82no—
517D4×D43—82no—
518#10621898—22no—
519#10621898—22no—
520#10621898—41no—
521#10621898—41no—
522#10621898—82no—
523C2×D172—21no—
524C2×D172—21no—
525C2×D172—21no—
526C2×D172—21no—
527C2×D172—21no—
528C2×D172—21no—
529C2×D172—21no—
530C2×D172—21no—
531C2×D172—21no—
532C2×D172—21no—
533C2×D172—22no—
534C2×D172—22no—
535C2×D172—41no—
536C2×D172—41no—
537C2×D172C2411yescharacteristic
538C2×D172C2411yescharacteristic
539C2×D172C2411yescharacteristic
540C2×D172C2411yescharacteristic
541C2×D172C2411yescharacteristic
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—21no—
557C2×C4×D43—82no—
558C2×C4×D43C2411yescharacteristic
559C2×Dic86—21no—
560C2×Dic86—21no—
561C2×Dic86—21no—
562C2×Dic86C2×D411yescharacteristic
563C2×Dic86C2411yescharacteristic
564SD16×C43—22no—
565M16×C43—22no—
566M16×C43—22no—
567C2×C8×C43C2411yescharacteristic
568C2×C8×C43C2411yescharacteristic
569C2×C8×C43C2411yescharacteristic
570C2×C8×C43C2411yescharacteristic
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×C43C2×D411yescharacteristic
581C4⋊C4×C43C2411yescharacteristic
582C4⋊C4×C43C2411yescharacteristic
583C4⋊C4×C43C2411yescharacteristic
584C4⋊C4×C43C2411yescharacteristic
585C4⋊C4×C43C2411yescharacteristic
586C4⋊C4×C43C2411yescharacteristic
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43C2×D411yescharacteristic
595C22⋊C4×C43C2×D411yescharacteristic
596C42×C43—21no—
597C42×C43—21no—
598C42×C43—21no—
599C42×C43C2411yescharacteristic
600C22⋊Dic43—21no—
601C22⋊Dic43C2×D411yescharacteristic
602C22⋊Dic43C2×D411yescharacteristic
603C22⋊Dic43C2×D411yescharacteristic
604C22⋊Dic43C2×D411yescharacteristic
605#10621884—22no—
606#10621884—41no—
607#10621884—41no—
608#10621883—22no—
609#10621882—41no—
610#10621882—41no—
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
641C4⋊Dic43—21no—
642C4⋊Dic43—21no—
643C4⋊Dic43—21no—
644C4⋊Dic43C2×D411yescharacteristic
645C4⋊Dic43C2×D411yescharacteristic
646C4⋊Dic43C2×D411yescharacteristic
647C4⋊Dic43C2411yescharacteristic
648C4⋊Dic43C2411yescharacteristic
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
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
673C4×Dic43C2411yescharacteristic
674C4×Dic43C2411yescharacteristic
675#10621877—41no—
676C2×C43⋊C8—41no—
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681D344—22no—
682D344—22no—
683D344—22no—
684D344—22no—
685D344—41no—
686D344—41no—
687#10621873—22no—
688#10621873—22no—
689#10621873#4114yescomplemented
690#10621872—41no—
691C8×D43—22no—
692C23×C43—21no—
693C23×C43C22×D411yescharacteristic
694C23×C43C22×D411yescharacteristic
695C22×D43—21no—
696C22×D43—21no—
697C22×D43—21no—
698C22×D43—21no—
699C22×D43—21no—
700C22×D43—42no—
701C22×D43—42no—
702C22×D43—42no—
703C22×D43—42no—
704C22×D43—81no—
705C22×D43—81no—
706C22×D43—81no—
707C22×D43—81no—
708C22×D43—81no—
709C22×D43C22×D411yescharacteristic
710Q8×C43—21no—
711Q8×C43—21no—
712D4×C43—21no—
713D4×C43—21no—
714D4×C43—41no—
715D4×C43—42no—
716D4×C43—81no—
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—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—81no—
729C2×C4×C43—81no—
730C2×C4×C43—81no—
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C22×D411yescharacteristic
734C2×C4×C43C22×D411yescharacteristic
735C2×C4×C43C2511yescharacteristic
736C22⋊D43—41no—
737C22⋊D43—41no—
738C22⋊D43—42no—
739C22⋊D43—42no—
740C22⋊D43—42no—
741C22⋊D43—42no—
742C22⋊D43—42no—
743C22⋊D43—81no—
744C22⋊D43—81no—
745C22⋊D43—81no—
746C22⋊D43—81no—
747C22⋊D43—81no—
748C22⋊D43—81no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—41no—
753C2×Dic43—41no—
754C2×Dic43—81no—
755C2×Dic43C22×D411yescharacteristic
756C2×Dic43C22×D411yescharacteristic
757C2×Dic43C22×D411yescharacteristic
758C2×Dic43C22×D411yescharacteristic
759C2×Dic43C22×D411yescharacteristic
760C2×Dic43C22×D411yescharacteristic
761C2×Dic43C22×D411yescharacteristic
762D172—21no—
763D172—21no—
764D172—21no—
765D172—21no—
766D172—21no—
767D172—21no—
768D172—21no—
769D172—21no—
770D172—21no—
771D172—42no—
772D172—42no—
773D172—81no—
774D172—81no—
775D172—81no—
776D172—81no—
777D172—81no—
778D172—81no—
779D172—81no—
780D172—81no—
781D172C2×#4112yes—
782C4×D43—21no—
783C4×D43—21no—
784C4×D43—42no—
785C4×D43—42no—
786C4×D43—42no—
787C4×D43—42no—
788C4×D43—42no—
789C4×D43—81no—
790C4×D43—81no—
791C4×D43—81no—
792C4×D43—81no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799Dic86—21no—
800Dic86—41no—
801Dic86—42no—
802Dic86—81no—
803Dic86—81no—
804Dic86C2×#4112yes—
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—21no—
815C22×C43—21no—
816C22×C43—21no—
817C22×C43—21no—
818C22×C43—21no—
819C22×C43—21no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43C23×D411yescharacteristic
824C2×D43—21no—
825C2×D43—21no—
826C2×D43—22no—
827C2×D43—21no—
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—41no—
850C4×C43—41no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43—41no—
855C4×C43—41no—
856C4×C43C22×#4111yescharacteristic
857C4×C43#58511yescharacteristic
858Dic43—21no—
859Dic43—21no—
860Dic43—21no—
861Dic43—21no—
862Dic43—21no—
863Dic43—21no—
864Dic43—22no—
865Dic43—21no—
866Dic43—41no—
867Dic43—41no—
868#3524—431no—
869#3519—431no—
870#3399—431no—
871#3388—431no—
872#3370—431no—
873#3368—431no—
874#3351D4311yescharacteristic, complemented
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—41no—
900C2×C43—41no—
901C2×C43—81no—
902C2×C43D4×#4111yescharacteristic
903C2×C43#358511yescharacteristic
904C2×C43#358511yescharacteristic
905D43—41no—
906D43—42no—
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#557—431no—
917#555—431no—
918#555—431no—
919#555—861no—
920#554—431no—
921#553—431no—
922#553—431no—
923#553—861no—
924#553—861no—
925#553C2×D4311yescharacteristic
926#552—861no—
927#552C2×D4311yescharacteristic, complemented
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#501—431no—
960#501—431no—
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#485C2×D4311yescharacteristic, complemented
972#483C2×D4311yescharacteristic, complemented
973#482—431no—
974#482—431no—
975#482—431no—
976#482—431no—
977#482—431no—
978#482—431no—
979#482C2×D4311yescharacteristic, complemented
980#481C2×D4311yescharacteristic, complemented
981#480—431no—
982#480—431no—
983#479—431no—
984#479—431no—
985#479C2×D4311yescharacteristic, complemented
986#478—431no—
987#478—431no—
988#478—431no—
989#478—431no—
990#478C2×D4311yescharacteristic, complemented
991#476—431no—
992#475—431no—
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#468C2×D4311yescharacteristic, complemented
1002#468C2×D4311yescharacteristic, complemented
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#446—431no—
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#440—431no—
1048#440—431no—
1049C4×SD16—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×SD16C2×D4311yescharacteristic, complemented
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060C4×D8—431no—
1061#436—431no—
1062#436C2×D4311yescharacteristic, complemented
1063#435—431no—
1064#435—431no—
1065#435—431no—
1066#435—431no—
1067#433—431no—
1068#433—431no—
1069#432—431no—
1070#428C2×D4311yescharacteristic, complemented
1071#428C2×D4311yescharacteristic, complemented
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×M16C22×D4311yescharacteristic
1117C2×M16C22×D4311yescharacteristic
1118C22×C8—431no—
1119C22×C8—431no—
1120C4⋊Q8—431no—
1121C4⋊Q8—431no—
1122C4⋊Q8—861no—
1123#127—431no—
1124#127—431no—
1125#127—431no—
1126#127—431no—
1127#127—861no—
1128#126—21no—
1129#126—21no—
1130#126—431no—
1131#126—431no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#125—21no—
1137#125—431no—
1138#125—431no—
1139#125—431no—
1140#125—861no—
1141#125—861no—
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—21no—
1157#123—21no—
1158#123—431no—
1159#123—431no—
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—431no—
1173C22⋊Q8—861no—
1174C22⋊Q8—861no—
1175C22⋊Q8—861no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8C22×D4311yescharacteristic
1180C22⋊Q8C22×D4311yescharacteristic
1181#121—21no—
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—861no—
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#121C22×D4311yescharacteristic
1213#121C22×D4311yescharacteristic
1214#120—861no—
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219#120—861no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—431no—
1226C4×Q8—861no—
1227C4×Q8—861no—
1228C4×Q8—861no—
1229C4×Q8C22×D4311yescharacteristic
1230C4×D4—21no—
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—431no—
1245C4×D4—431no—
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×D4—861no—
1264C4×D4C22×D4311yescharacteristic
1265C4×D4C22×D4311yescharacteristic
1266#117—21no—
1267#117—431no—
1268#117—431no—
1269#117—431no—
1270#117—431no—
1271#117—861no—
1272#117—861no—
1273#117—861no—
1274#117—861no—
1275#117—861no—
1276#117—861no—
1277#117—861no—
1278#117C22×D4311yescharacteristic
1279#117C22×D4311yescharacteristic
1280C2×C4⋊C4—861no—
1281C2×C4⋊C4—861no—
1282C2×C4⋊C4C22×D4311yescharacteristic
1283C2×C4⋊C4C22×D4311yescharacteristic
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⋊C8—431no—
1311C4⋊C8—431no—
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⋊C8C22×D4311yescharacteristic
1350C22⋊C8C22×D4311yescharacteristic
1351#97—431no—
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97—431no—
1356#97—431no—
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—431no—
1371C2×Q8—431no—
1372C2×Q8—861no—
1373C2×Q8—861no—
1374C2×Q8—861no—
1375C2×Q8—862no—
1376C2×Q8—1721no—
1377C2×Q8C23×D4311yescharacteristic
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—431no—
1381C2×D4—431no—
1382C2×D4—431no—
1383C2×D4—431no—
1384C2×D4—431no—
1385C2×D4—431no—
1386C2×D4—431no—
1387C2×D4—862no—
1388C2×D4—862no—
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—862no—
1399C2×D4—861no—
1400C2×D4—861no—
1401C2×D4—861no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—861no—
1411C2×D4—3442no—
1412C2×D4—3442no—
1413C2×D4—3442no—
1414C2×D4—1721no—
1415C2×D4—1721no—
1416C2×D4—1721no—
1417C2×D4D4×D4311yescharacteristic
1418C2×D4C23×D4311yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—431no—
1423C22×C4—431no—
1424C22×C4—431no—
1425C22×C4—861no—
1426C22×C4—861no—
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—3442no—
1442C22×C4C23×D4311yescharacteristic
1443C22×C4C23×D4311yescharacteristic
1444SD16—22no—
1445SD16—434no—
1446SD16—862no—
1447SD16—862no—
1448SD16—862no—
1449SD16—862no—
1450SD16—1721no—
1451SD16—1721no—
1452D8—862no—
1453D8—862no—
1454D8—862no—
1455D8—862no—
1456D8—1721no—
1457D8—1721no—
1458D8—1721no—
1459D8—1721no—
1460M16—22no—
1461M16—22no—
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—431no—
1484C4⋊C4—431no—
1485C4⋊C4—431no—
1486C4⋊C4—431no—
1487C4⋊C4—431no—
1488C4⋊C4—431no—
1489C4⋊C4—431no—
1490C4⋊C4—431no—
1491C4⋊C4—431no—
1492C4⋊C4—431no—
1493C4⋊C4—431no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
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—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—431no—
1520C22⋊C4—431no—
1521C22⋊C4—431no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—431no—
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⋊C4D4×D4311yescharacteristic
1555C22⋊C4D4×D4311yescharacteristic
1556C42—21no—
1557C42—21no—
1558C42—21no—
1559C42—431no—
1560C42—431no—
1561C42—431no—
1562C42—431no—
1563C42—431no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42—861no—
1570C42—861no—
1571C42C23×D4311yescharacteristic
1572C23—21no—
1573C23—431no—
1574C23—861no—
1575C23—861no—
1576C23—861no—
1577C23—861no—
1578C23—861no—
1579C23—3441no—
1580C23—3441no—
1581C23—3441no—
1582C23—3441no—
1583C23—3441no—
1584C23—1722no—
1585C23—1722no—
1586C23—1722no—
1587C23—1722no—
1588C23C2×D4×D4311yescharacteristic
1589C23C2×D4×D4311yescharacteristic
1590Q8—21no—
1591Q8—21no—
1592Q8—432no—
1593Q8—861no—
1594Q8—3441no—
1595Q8—3441no—
1596Q8—1721no—
1597Q8—1722no—
1598D4—21no—
1599D4—21no—
1600D4—41no—
1601D4—42no—
1602D4—81no—
1603D4—432no—
1604D4—861no—
1605D4—861no—
1606D4—861no—
1607D4—861no—
1608D4—861no—
1609D4—861no—
1610D4—861no—
1611D4—861no—
1612D4—861no—
1613D4—3441no—
1614D4—3441no—
1615D4—3441no—
1616D4—3441no—
1617D4—3441no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—3441no—
1623D4—3441no—
1624D4—3441no—
1625D4—3441no—
1626D4—3441no—
1627D4—1722no—
1628D4—1722no—
1629D4—1721no—
1630D4—1721no—
1631D4—1722no—
1632D4—1722no—
1633D4—1722no—
1634D4—1722no—
1635D4—1722no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4—81no—
1650C2×C4—431no—
1651C2×C4—431no—
1652C2×C4—431no—
1653C2×C4—431no—
1654C2×C4—431no—
1655C2×C4—431no—
1656C2×C4—431no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—861no—
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—3441no—
1673C2×C4—1722no—
1674C2×C4—1722no—
1675C2×C4—1722no—
1676C2×C4—1722no—
1677C2×C4—1722no—
1678C2×C4—1721no—
1679C2×C4—1721no—
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—
1692C8#41×D4312yes—
1693C22—21no—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—861no—
1703C22—862no—
1704C22—861no—
1705C22—861no—
1706C22—3444no—
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—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—861no—
1736C4—862no—
1737C4—861no—
1738C4—861no—
1739C4—861no—
1740C4—861no—
1741C4—861no—
1742C4—861no—
1743C4—1721no—
1744C4—1721no—
1745C4C2×#41×D4311yescharacteristic
1746C4#1458373611yescharacteristic
1747C2—41no—
1748C2—41no—
1749C2—81no—
1750C2—3441no—
1751C2—3441no—
1752C2—3441no—
1753C2—3441no—
1754C2—1721no—
1755C2—1722no—
1756C2#1914808211yescharacteristic
1757C2#1914937211yescharacteristic
1758C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3351C2
socleC22×C43C23×D4
hypercenter#3351D43
hypocenterC43#61504
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3351

Complements

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

NH ≅ G/Ntype
1. #19148701C2semidirect
2. #19148623C2semidirect
3. #19147635C2semidirect
4. #19147546C2semidirect
5. #19147351C2semidirect
6. #19147327C2semidirect
7. #19147096C2semidirect
8. #19147096C2semidirect
9. #19146851C2semidirect
10. #19146835C2semidirect
11. #19146779C2semidirect
12. #19146734C2semidirect
13. #19146610C2semidirect
14. #19146595C2semidirect
15. #19146217C2semidirect
16. #19146097C2semidirect
17. #19146097C2semidirect
18. #19145271C2semidirect
19. #19145246C2semidirect
20. #19145183C2semidirect
21. #19144888C2semidirect
22. #19144840C2semidirect
23. #19144789C2semidirect
24. #19144782C2semidirect
25. #19144741C2semidirect
26. #19144736C2semidirect
27. #19143581C2semidirect
28. #19143449C2semidirect
29. #19143425C2semidirect
30. #19143402C2semidirect
31. C43×#3351C2semidirect
35. #14583634C22semidirect
37. #14583626C22semidirect
40. #14583612C22semidirect
45. #14583597C22semidirect
48. #14583570C22semidirect
49. #14583559C22semidirect
50. #14583559C22semidirect
57. #14583522C22semidirect
60. #14583505C22semidirect
66. #14583435C22semidirect
72. #14583380C22semidirect
73. #14583375C22semidirect
76. #14583367C22semidirect
78. #14583307C22semidirect
79. #14583307C22semidirect
80. #14583285C22semidirect
81. #14583285C22semidirect
82. #14583276C22semidirect
83. #14583265C22semidirect
84. #14583265C22semidirect
85. #14583262C22semidirect
86. #14583260C22semidirect
87. #14583255C22semidirect
88. #14583244C22semidirect
89. #14583226C22semidirect
90. #14583226C22semidirect
91. #14583225C22semidirect
92. #14583225C22semidirect
93. #14583223C22semidirect
94. #14583223C22semidirect
95. #14583212C22semidirect
96. #14583212C22semidirect
97. #14583209C22semidirect
98. #14583203C22semidirect
100. #14583198C22semidirect
101. #14583198C22semidirect
104. #14583183C22semidirect
105. #14583178C22semidirect
106. #14583178C22semidirect
107. #14583153C22semidirect
108. #14583153C22semidirect
109. #14583152C22semidirect
110. #14583152C22semidirect
111. #14583150C22semidirect
112. #14583147C22semidirect
113. #14583136C22semidirect
114. #14583136C22semidirect
115. #14583133C22semidirect
116. #14583130C22semidirect
119. #14583117C22semidirect
120. #14583117C22semidirect
121. #14583100C22semidirect
122. #14583099C22semidirect
123. #14583098C22semidirect
124. #14583098C22semidirect
126. #14583094C22semidirect
127. #14583093C22semidirect
128. #14583093C22semidirect
131. #14583046C22semidirect
132. #14583046C22semidirect
133. #14583042C22semidirect
134. #14583042C22semidirect
135. #14583039C22semidirect
136. #14583039C22semidirect
141. #14583029C22semidirect
142. #14583028C22semidirect
145. #14583010C22semidirect
146. #14583010C22semidirect
147. #14583010C22semidirect
148. #14583010C22semidirect
149. #14583008C22semidirect
151. #14583002C22semidirect
152. #14582999C22semidirect
155. #14582998C22semidirect
156. #14582998C22semidirect
158. #14582996C22semidirect
160. SD16×Dic43C22semidirect
162. #14582986C22semidirect
163. #14582986C22semidirect
164. #14582984C22semidirect
167. #14582981C22semidirect
168. #14582981C22semidirect
169. #14582979C22semidirect
170. #14582974C22semidirect
171. #14582971C22semidirect
172. #14582968C22semidirect
173. #14582968C22semidirect
174. #14582967C22semidirect
175. #14582959C22semidirect
176. #14582957C22semidirect
177. #14582953C22semidirect
178. #14582934C22semidirect
179. #14582906C22semidirect
182. #14582898C22semidirect
183. #14582893C22semidirect
185. #14582857C22semidirect
186. #14582853C22semidirect
187. M16×Dic43C22semidirect
189. C43×#552C22semidirect
190. C43×#499C22semidirect
191. C43×#485C22semidirect
192. C43×#483C22semidirect
193. C43×#482C22semidirect
194. C43×#481C22semidirect
195. C43×#479C22semidirect
196. C43×#478C22semidirect
197. C43×#468C22semidirect
198. C43×#468C22semidirect
199. C4×SD16×C43C22semidirect
200. C43×#436C22semidirect
201. C43×#428C22semidirect
202. C43×#428C22semidirect
689. #10621873#41semidirect
874. #3351D43semidirect
927. #552C2×D43semidirect
961. #499C2×D43semidirect
971. #485C2×D43semidirect
972. #483C2×D43semidirect
979. #482C2×D43semidirect
980. #481C2×D43semidirect
985. #479C2×D43semidirect
990. #478C2×D43semidirect
1001. #468C2×D43semidirect
1002. #468C2×D43semidirect
1055. C4×SD16C2×D43semidirect
1062. #436C2×D43semidirect
1070. #428C2×D43semidirect
1071. #428C2×D43semidirect
1082. C43#61504semidirect

Maximal subgroups

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

subgroupindex
#191487012
#191486232
#191476352
#191475462
#191473512
#191473272
#191470962
#191468512
#191468352
#191467792
#191467342
#191466102
#191465952
#191462172
#191460972
#191452712
#191452462
#191451832
#191448882
#191448402
#191447892
#191447822
#191447412
#191447362
#191435812
#191434492
#191434252
#191434022
C43×#33512
#6150443