Finite Group Databasebeta

← #25979675

Subgroups — #25979675

Order 11008.

1830 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#19148611C211yesmaximal, characteristic, complemented
2#19148542C211yesmaximal, characteristic, complemented
3#19147666C211yesmaximal, characteristic, complemented
4#19147502C211yesmaximal, characteristic, complemented
5#19147425C211yesmaximal, characteristic, complemented
6#19147412C211yesmaximal, characteristic, complemented
7#19147175C211yesmaximal, characteristic, complemented
8#19147121C211yesmaximal, characteristic, complemented
9#19146861C211yesmaximal, characteristic, complemented
10#19146824C211yesmaximal, characteristic, complemented
11#19146760C211yesmaximal, characteristic, complemented
12#19146745C211yesmaximal, characteristic, complemented
13#19146629C211yesmaximal, characteristic, complemented
14#19146584C211yesmaximal, characteristic, complemented
15#19146233C211yesmaximal, characteristic, complemented
16#19146110C211yesmaximal, characteristic, complemented
17#19146087C211yesmaximal, characteristic, complemented
18#19145279C211yesmaximal, characteristic, complemented
19#19145227C211yesmaximal, characteristic, complemented
20#19145203C211yesmaximal, characteristic, complemented
21#19144882C211yesmaximal, characteristic, complemented
22#19144852C211yesmaximal, characteristic, complemented
23#19144819C211yesmaximal, characteristic, complemented
24#19144774C211yesmaximal, characteristic, complemented
25#19144709C211yesmaximal, characteristic, complemented
26#19144696C211yesmaximal, characteristic, complemented
27#19143577C211yesmaximal, characteristic, complemented
28#19143453C211yesmaximal, characteristic, complemented
29#19143436C211yesmaximal, characteristic, complemented
30#19143406C211yesmaximal, characteristic, complemented
31C43×#3347C211yesmaximal, characteristic, complemented
32C2×#13063358C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C22×#10621873C2211yescharacteristic
35#14583632C2211yescharacteristic
36#14583629C2211yescharacteristic, complemented
37#14583619C2211yescharacteristic, complemented
38#14583618—21no—
39#14583618—21no—
40#14583617—21no—
41#14583617C2211yescharacteristic
42#14583617C2211yescharacteristic, complemented
43#14583613—21no—
44#14583605C2211yescharacteristic
45#14583599—21no—
46#14583588C2211yescharacteristic
47#14583577—21no—
48#14583574—21no—
49D4×Dic86C2211yescharacteristic, complemented
50#14583555C2211yescharacteristic
51#14583555C2211yescharacteristic, complemented
52#14583550C2211yescharacteristic
53#14583546—21no—
54#14583546C2211yescharacteristic
55#14583545C2211yescharacteristic
56#14583533C2211yescharacteristic
57#14583516C2211yescharacteristic
58#14583516C2211yescharacteristic, complemented
59#14583516C2211yescharacteristic, complemented
60#14583513—21no—
61#14583513—21no—
62#14583502C2211yescharacteristic
63#14583490—21no—
64#14583481—21no—
65#14583454C2211yescharacteristic, complemented
66#14583452—21no—
67#14583434C2211yescharacteristic
68#14583431C2211yescharacteristic
69#14583430—21no—
70#14583408—21no—
71#123×D43—21no—
72#14583380C2211yescharacteristic
73#14583376C2211yescharacteristic, complemented
74#14583376C2211yescharacteristic, complemented
75#14583373C2211yescharacteristic
76C4×#10621900C2211yescharacteristic, complemented
77C4×D4×D43C2211yescharacteristic
78#14583306C2211yescharacteristic, complemented
79#14583303C2211yescharacteristic, complemented
80#14583293C2211yescharacteristic, complemented
81#14583287C2211yescharacteristic
82#14583282C2211yescharacteristic, complemented
83#14583269C2211yescharacteristic, complemented
84#14583261C2211yescharacteristic, complemented
85#14583257C2211yescharacteristic, complemented
86#14583257C2211yescharacteristic, complemented
87#14583252C2211yescharacteristic, complemented
88#14583244C2211yescharacteristic
89#14583242C2211yescharacteristic, complemented
90#14583240C2211yescharacteristic, complemented
91#14583240C2211yescharacteristic, complemented
92#14583236C2211yescharacteristic, complemented
93#14583236C2211yescharacteristic, complemented
94#14583234C2211yescharacteristic, complemented
95#14583225C2211yescharacteristic
96#14583223C2211yescharacteristic, complemented
97#14583209C2211yescharacteristic, complemented
98#14583205C2211yescharacteristic, complemented
99#14583203C2211yescharacteristic, complemented
100#14583193C2211yescharacteristic, complemented
101#14583193C2211yescharacteristic, complemented
102#14583188C2211yescharacteristic
103#14583183C2211yescharacteristic, complemented
104#14583178C2211yescharacteristic
105#14583178C2211yescharacteristic, complemented
106#14583176C2211yescharacteristic
107#14583158C2211yescharacteristic, complemented
108#14583158C2211yescharacteristic, complemented
109#14583146C2211yescharacteristic
110#14583146C2211yescharacteristic
111#14583145C2211yescharacteristic, complemented
112#14583143C2211yescharacteristic
113#14583143C2211yescharacteristic, complemented
114#14583140C2211yescharacteristic, complemented
115#14583133C2211yescharacteristic, complemented
116#14583126C2211yescharacteristic, complemented
117#14583122C2211yescharacteristic, complemented
118#14583120C2211yescharacteristic, complemented
119#14583120C2211yescharacteristic, complemented
120#14583120C2211yescharacteristic, complemented
121#14583114C2211yescharacteristic, complemented
122#14583113C2211yescharacteristic
123#14583113C2211yescharacteristic
124#14583113C2211yescharacteristic, complemented
125#14583105C2211yescharacteristic
126#14583104C2211yescharacteristic, complemented
127#14583098C2211yescharacteristic
128#14583098C2211yescharacteristic
129#14583063C2211yescharacteristic
130#14583062C2211yescharacteristic, complemented
131#14583057C2211yescharacteristic, complemented
132#14583052C2211yescharacteristic
133#14583051C2211yescharacteristic
134#14583051C2211yescharacteristic
135#14583045C2211yescharacteristic
136#14583042C2211yescharacteristic
137#14583040C2211yescharacteristic, complemented
138#14583037C2211yescharacteristic
139#14583037C2211yescharacteristic, complemented
140#14583032C2211yescharacteristic
141#14583028C2211yescharacteristic, complemented
142#14583027C2211yescharacteristic, complemented
143#14583009C2211yescharacteristic
144#14583008C2211yescharacteristic, complemented
145#14583005C2211yescharacteristic, complemented
146#14583005C2211yescharacteristic, complemented
147#14583001C2211yescharacteristic
148#14582999C2211yescharacteristic, complemented
149#14582998C2211yescharacteristic
150#14582998C2211yescharacteristic
151#14582998C2211yescharacteristic
152#14582998C2211yescharacteristic
153#14582998C2211yescharacteristic, complemented
154#14582998C2211yescharacteristic, complemented
155#14582996C2211yescharacteristic, complemented
156#14582996C2211yescharacteristic, complemented
157#14582996C2211yescharacteristic, complemented
158#14582993C2211yescharacteristic, complemented
159#14582993C2211yescharacteristic, complemented
160#14582993C2211yescharacteristic, complemented
161#14582990C2211yescharacteristic, complemented
162#14582986C2211yescharacteristic
163#14582986C2211yescharacteristic
164#14582986C2211yescharacteristic
165#14582986C2211yescharacteristic, complemented
166#14582986C2211yescharacteristic, complemented
167#14582986C2211yescharacteristic, complemented
168D8×Dic43C2211yescharacteristic, complemented
169#14582979C2211yescharacteristic
170#14582975C2211yescharacteristic, complemented
171#14582974C2211yescharacteristic
172#14582971C2211yescharacteristic, complemented
173#14582970C2211yescharacteristic
174#14582967C2211yescharacteristic, complemented
175#14582957C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582955C2211yescharacteristic, complemented
178#14582938C2211yescharacteristic, complemented
179#14582907C2211yescharacteristic, complemented
180#14582903C2211yescharacteristic
181#14582902C2211yescharacteristic
182#14582897C2211yescharacteristic, complemented
183#14582893C2211yescharacteristic
184C2×#13063248C2211yescharacteristic, complemented
185#14582857C2211yescharacteristic, complemented
186#14582854C2211yescharacteristic, complemented
187#14582851C2211yescharacteristic, complemented
188C43×#555C2211yescharacteristic, complemented
189C43×#553C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic
192C43×#482C2211yescharacteristic, complemented
193C43×#482C2211yescharacteristic, complemented
194C43×#480C2211yescharacteristic, complemented
195C43×#478C2211yescharacteristic, complemented
196C43×#474C2211yescharacteristic, complemented
197C43×#469C2211yescharacteristic, complemented
198C43×#466C2211yescharacteristic
199C43×#442C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic, complemented
201C43×#428C2211yescharacteristic, complemented
202C43×#427C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621898C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C22×Dic86C2311yescharacteristic
207C22×Dic86C2311yescharacteristic
208C22×D172C2311yescharacteristic
209C2×D4×D43—21no—
210C2×D4×D43C2311yescharacteristic
211C22×C4×D43—21no—
212#13063358—24no—
213#13063349—24no—
214C2×Dic172C2311yescharacteristic
215C2×Dic172C2311yescharacteristic
216C2×Dic172C2311yescharacteristic
217C2×#10621873—24no—
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621873C2311yescharacteristic
222C2×#10621873C2311yescharacteristic
223C2×#10621873C2311yescharacteristic
224C2×#10621883C2311yescharacteristic
225C2×#10621883C2311yescharacteristic
226C2×#10621883C2311yescharacteristic
227C2×#10621883C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230C2×#10621877C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×#10621872C2311yescharacteristic
233C22×C43⋊C8C2311yescharacteristic
234#13063325C2311yescharacteristic
235#13063324—21no—
236#13063324—21no—
237#13063324C2311yescharacteristic
238#13063324C2311yescharacteristic
239#13063324C2311yescharacteristic
240#13063323—21no—
241#13063323—21no—
242#13063321C2311yescharacteristic
243#13063320—21no—
244#13063319—21no—
245#13063319—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318—21no—
251#13063318—21no—
252#13063318—21no—
253#13063318—21no—
254#13063318D411yescharacteristic
255#13063318D411yescharacteristic
256#13063317—21no—
257#13063316—21no—
258#13063316D411yescharacteristic
259#13063316C2311yescharacteristic
260#13063313C2311yescharacteristic
261#13063312—21no—
262#13063312—21no—
263#13063312—21no—
264#13063312D411yescharacteristic
265#13063312C2311yescharacteristic
266#13063312C2311yescharacteristic
267#13063312C2311yescharacteristic
268#13063311—21no—
269#13063311—21no—
270#13063311—21no—
271#13063311—21no—
272#13063311—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310—21no—
276#13063309—21no—
277#13063308—21no—
278#13063308—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063307D411yescharacteristic
284#13063307D411yescharacteristic
285#13063306—21no—
286#13063306—21no—
287#13063306—21no—
288#13063305—21no—
289#13063305D411yescharacteristic
290#13063305C2311yescharacteristic
291#13063305C2311yescharacteristic
292#13063305C2311yescharacteristic
293#13063304—21no—
294#13063304C2311yescharacteristic
295#13063304C2311yescharacteristic
296#13063304C2311yescharacteristic
297#13063303—21no—
298#13063303—21no—
299#13063303—21no—
300#13063302—21no—
301#13063302—21no—
302#13063302—21no—
303#13063302—21no—
304#13063302—21no—
305#13063302—21no—
306#13063302—21no—
307#13063301—21no—
308#13063300C2311yescharacteristic
309#13063299C2311yescharacteristic
310#13063298—21no—
311#13063298—21no—
312#13063297—21no—
313#13063297—21no—
314#13063297—21no—
315#13063296—21no—
316#13063296—21no—
317#13063296D411yescharacteristic
318#13063295—21no—
319#13063293—21no—
320#13063293—21no—
321#13063293—21no—
322Q8×Dic43—21no—
323C4×Dic86—21no—
324C4×Dic86—21no—
325C4×Dic86—21no—
326C4×Dic86—21no—
327C4×Dic86—21no—
328C4×Dic86—21no—
329C4×Dic86C2311yescharacteristic
330C4×Dic86C2311yescharacteristic
331#13063290—21no—
332#13063290C2311yescharacteristic
333#13063290C2311yescharacteristic
334#13063290C2311yescharacteristic
335#13063290C2311yescharacteristic
336#13063290C2311yescharacteristic
337#13063290C2311yescharacteristic
338#13063290C2311yescharacteristic
339#13063290C2311yescharacteristic
340#13063290C2311yescharacteristic
341C4×D172—21no—
342C4×D172—21no—
343C4×D172C2311yescharacteristic
344D4×Dic43—21no—
345D4×Dic43—21no—
346D4×Dic43—21no—
347D4×Dic43C2311yescharacteristic
348D4×Dic43C2311yescharacteristic
349#13063287—21no—
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#13063284—21no—
365#13063284C2311yescharacteristic
366#13063284C2311yescharacteristic
367#13063283—21no—
368#13063283—21no—
369#13063283—21no—
370#13063283C2311yescharacteristic
371#13063282—21no—
372#13063281—21no—
373#13063281—21no—
374#13063281—21no—
375#13063281—21no—
376#13063281—21no—
377C4⋊C4×D43—21no—
378C4⋊C4×D43—21no—
379C4⋊C4×D43C2311yescharacteristic
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C22⋊C4×D43—21no—
385C2×C4×Dic43—21no—
386C42×D43C2311yescharacteristic
387#13063259C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063248C2311yescharacteristic
404#13063248C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
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
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×D8×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442#126×C43—21no—
443#125×C43C2311yescharacteristic
444#124×C43—21no—
445#124×C43—21no—
446#123×C43—21no—
447#121×C43—21no—
448#121×C43—21no—
449#121×C43C2311yescharacteristic
450#121×C43C2311yescharacteristic
451#121×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453C4×D4×C43—21no—
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460#117×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×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
480#97×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C2×Q8×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43C2×D411yescharacteristic
489C2×D4×C43C2411yescharacteristic
490C2×D4×C43C2411yescharacteristic
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43C2411yescharacteristic
495C22×C4×C43C2411yescharacteristic
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⋊D43C2×D411yescharacteristic
503C2×C22⋊D43C2×D411yescharacteristic
504C22×Dic43—21no—
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43—21no—
508C22×Dic43—21no—
509#10621900—22no—
510#10621900—41no—
511D4×D43—22no—
512D4×D43—41no—
513D4×D43—82no—
514#10621898—22no—
515#10621898—41no—
516#10621898—82no—
517C2×D172—21no—
518C2×D172—21no—
519C2×D172—22no—
520C2×D172—41no—
521C2×D172C2411yescharacteristic
522C2×D172C2411yescharacteristic
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—82no—
532C2×C4×D43C2×D411yescharacteristic
533C2×C4×D43C2×D411yescharacteristic
534C2×C4×D43C2411yescharacteristic
535C2×Dic86—22no—
536C2×Dic86—22no—
537C2×Dic86—21no—
538C2×Dic86—21no—
539C2×Dic86—21no—
540C2×Dic86—21no—
541C2×Dic86—21no—
542C2×Dic86—41no—
543C2×Dic86—41no—
544C2×Dic86C2×D411yescharacteristic
545C2×Dic86C2411yescharacteristic
546C2×Dic86C2411yescharacteristic
547C2×Dic86C2411yescharacteristic
548C2×Dic86C2411yescharacteristic
549D8×C43—22no—
550M16×C43—22no—
551C2×C8×C43—22no—
552C2×C8×C43C2411yescharacteristic
553C2×C8×C43C2411yescharacteristic
554C2×C8×C43C2411yescharacteristic
555C2×C8×C43C2411yescharacteristic
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43C2×D411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
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×C43—21no—
580C42×C43—21no—
581C42×C43C2411yescharacteristic
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⋊Dic43C2×D411yescharacteristic
594C22⋊Dic43C2×D411yescharacteristic
595C22⋊Dic43C2×D411yescharacteristic
596C22⋊Dic43C2×D411yescharacteristic
597C22⋊Dic43C2×D411yescharacteristic
598C22⋊Dic43C2×D411yescharacteristic
599#10621883—22no—
600#10621883—41no—
601#10621883—41no—
602#10621883—41no—
603#10621882—22no—
604#10621882—41no—
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)⋊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
621C4⋊Dic43—21no—
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43C2×D411yescharacteristic
628C4⋊Dic43C2×D411yescharacteristic
629C4⋊Dic43C2×D411yescharacteristic
630C4⋊Dic43C2×D411yescharacteristic
631C4⋊Dic43C2×D411yescharacteristic
632C4⋊Dic43C2411yescharacteristic
633C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43C2×D411yescharacteristic
668C4×Dic43C2×D411yescharacteristic
669C4×Dic43C2411yescharacteristic
670C4×Dic43C2411yescharacteristic
671C4×Dic43C2411yescharacteristic
672#10621877—41no—
673C2×C43⋊C8—41no—
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678Dic172—22no—
679Dic172—22no—
680Dic172—41no—
681#10621873—22no—
682#10621873—22no—
683#10621873—22no—
684#10621873—22no—
685#10621873—41no—
686#10621873#4114yescomplemented
687#10621872—22no—
688#10621872—41no—
689C23×C43—21no—
690C23×C43—21no—
691C23×C43C22×D411yescharacteristic
692C23×C43C22×D411yescharacteristic
693C22×D43—21no—
694C22×D43—21no—
695C22×D43—42no—
696C22×D43—42no—
697C22×D43—42no—
698C22×D43—81no—
699C22×D43—81no—
700C22×D43—81no—
701C22×D43C22×D411yescharacteristic
702Q8×C43—81no—
703D4×C43—21no—
704D4×C43—21no—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43—41no—
708D4×C43—81no—
709D4×C43—81no—
710D4×C43—81no—
711D4×C43—81no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
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—42no—
723C2×C4×C43—81no—
724C2×C4×C43—81no—
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C2511yescharacteristic
730C22⋊D43—41no—
731C22⋊D43—41no—
732C22⋊D43—42no—
733C22⋊D43—42no—
734C22⋊D43—42no—
735C22⋊D43—81no—
736C22⋊D43—81no—
737C22⋊D43—81no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—42no—
745C2×Dic43—42no—
746C2×Dic43—42no—
747C2×Dic43—81no—
748C2×Dic43—81no—
749C2×Dic43C22×D411yescharacteristic
750C2×Dic43C22×D411yescharacteristic
751C2×Dic43C22×D411yescharacteristic
752C2×Dic43C22×D411yescharacteristic
753C2×Dic43C22×D411yescharacteristic
754C2×Dic43C22×D411yescharacteristic
755C2×Dic43C22×D411yescharacteristic
756D172—21no—
757D172—21no—
758D172—21no—
759D172—42no—
760D172—42no—
761D172C2×#4112yes—
762C4×D43—21no—
763C4×D43—21no—
764C4×D43—41no—
765C4×D43—41no—
766C4×D43—42no—
767C4×D43—42no—
768C4×D43—81no—
769C4×D43—81no—
770C4×D43—81no—
771C4×D43—81no—
772C4×D43—81no—
773C4×D43—81no—
774Dic86—21no—
775Dic86—21no—
776Dic86—21no—
777Dic86—21no—
778Dic86—21no—
779Dic86—21no—
780Dic86—21no—
781Dic86—41no—
782Dic86—42no—
783Dic86—42no—
784Dic86—81no—
785Dic86—81no—
786Dic86—81no—
787Dic86C2×#4112yes—
788C8×C43—21no—
789C8×C43—21no—
790C8×C43—21no—
791C8×C43C2×#4112yes—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8—21no—
796#61503—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—21no—
801C22×C43—21no—
802C22×C43—21no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43C23×D411yescharacteristic
810C2×D43—21no—
811C2×D43—21no—
812C2×D43—22no—
813C2×D43—21no—
814C2×D43—41no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—84no—
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×C43—41no—
831C4×C43C22×#4111yescharacteristic
832C4×C43#58511yescharacteristic
833Dic43—21no—
834Dic43—21no—
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—21no—
839Dic43—22no—
840Dic43—21no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846#3518—431no—
847#3513—431no—
848#3401—431no—
849#3385—431no—
850#3376—431no—
851#3375—431no—
852#3353—431no—
853#3349—431no—
854#3347D4311yescharacteristic, complemented
855#3327—431no—
856#3324—431no—
857#3320—431no—
858#3319—431no—
859#3311—431no—
860#3308—431no—
861#3275—431no—
862#3266—431no—
863#3265—431no—
864#3179—431no—
865#3175—431no—
866#3172—431no—
867#3126—431no—
868#3124—431no—
869#3121—431no—
870#3118—431no—
871#3111—431no—
872#3110—431no—
873#2967—431no—
874#2949—431no—
875#2947—431no—
876C4×AGL(1,ℤ/8)—431no—
877C2×C43—41no—
878C2×C43—41no—
879C2×C43—81no—
880C2×C43—81no—
881C2×C43D4×#4111yescharacteristic
882C2×C43#358511yescharacteristic
883C2×C43#358611yescharacteristic
884D43—41no—
885D43—42no—
886D43—81no—
887C2×#137—431no—
888C2×AGL(1,ℤ/8)—431no—
889C22×SD16—431no—
890#559—431no—
891Q82—431no—
892#556—431no—
893#556—431no—
894#556—431no—
895#556—861no—
896#556—861no—
897#556—861no—
898#555—861no—
899#555C2×D4311yescharacteristic, complemented
900#554—431no—
901#553—861no—
902#553C2×D4311yescharacteristic
903#552—431no—
904#551—861no—
905#551—861no—
906D4×Q8—431no—
907#548—431no—
908#548—431no—
909#547—431no—
910#546—431no—
911#546—431no—
912#546—861no—
913D42—431no—
914#542—431no—
915#542—431no—
916#542—431no—
917#542—861no—
918#542—861no—
919#540—431no—
920#539—861no—
921#538—861no—
922#533—431no—
923#533—861no—
924#529—431no—
925#529—431no—
926#529—861no—
927#525—861no—
928C2×#123—861no—
929#520—431no—
930#519—431no—
931#519—431no—
932#518—431no—
933C4×#41—431no—
934C2×C4×D4—431no—
935#501—431no—
936#501C2×D4311yescharacteristic, complemented
937#500—431no—
938#497—431no—
939#496—431no—
940#495—431no—
941#491—431no—
942#489—431no—
943#489—431no—
944#489—431no—
945#488—431no—
946#486—431no—
947#485—431no—
948#485—431no—
949#485—431no—
950#484—431no—
951#484—431no—
952#484—431no—
953#482—431no—
954#482—431no—
955#482C2×D4311yescharacteristic
956#482C2×D4311yescharacteristic, complemented
957#482C2×D4311yescharacteristic, complemented
958#480C2×D4311yescharacteristic, complemented
959#479—431no—
960#479—431no—
961#479—431no—
962#478C2×D4311yescharacteristic, complemented
963#477—431no—
964#477—431no—
965#476—431no—
966#475—431no—
967#474—431no—
968#474—431no—
969#474—431no—
970#474C2×D4311yescharacteristic, complemented
971#470—431no—
972#470—431no—
973#469C2×D4311yescharacteristic, complemented
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#468—431no—
979#467—431no—
980#466—431no—
981#466C2×D4311yescharacteristic
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#463—431no—
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#449—431no—
1003#448—431no—
1004#448—431no—
1005#448—431no—
1006#447—431no—
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#442C2×D4311yescharacteristic, complemented
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×Q16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×SD16—431no—
1034C4×SD16—431no—
1035C4×D8—431no—
1036C4×D8—431no—
1037#436—431no—
1038#436—431no—
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#435C2×D4311yescharacteristic, complemented
1043#433—431no—
1044#433—431no—
1045#432—431no—
1046#428—431no—
1047#428C2×D4311yescharacteristic, complemented
1048#427C2×D4311yescharacteristic, complemented
1049#419—431no—
1050#418—431no—
1051#418—431no—
1052#417—431no—
1053#416—431no—
1054C2×#103—431no—
1055#405—431no—
1056#405—431no—
1057C4×M16—431no—
1058C43#6150311yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41—861no—
1062C22×Q8—431no—
1063C22×Q8—431no—
1064C22×D4—431no—
1065C22×D4—431no—
1066C22×D4—861no—
1067C23×C4—861no—
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—431no—
1083C2×SD16—864no—
1084C2×D8—431no—
1085C2×D8—431no—
1086C2×D8C22×D4311yescharacteristic
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16—431no—
1090C2×M16C22×D4311yescharacteristic
1091C22×C8—431no—
1092C22×C8C22×D4311yescharacteristic
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—431no—
1097C4⋊Q8—861no—
1098C4⋊Q8—861no—
1099C4⋊Q8—861no—
1100C4⋊Q8—861no—
1101C4⋊Q8C22×D4311yescharacteristic
1102#127—431no—
1103#126—21no—
1104#126—431no—
1105#126—431no—
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#126—861no—
1116#126—861no—
1117#125—431no—
1118#125—431no—
1119#125—861no—
1120#125—861no—
1121#125C22×D4311yescharacteristic
1122#124—21no—
1123#124—21no—
1124#124—431no—
1125#124—431no—
1126#124—431no—
1127#124—431no—
1128#124—431no—
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#123—21no—
1138#123—431no—
1139#123—431no—
1140#123—861no—
1141#123—861no—
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—
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—431no—
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⋊Q8—861no—
1173#121—21no—
1174#121—21no—
1175#121—431no—
1176#121—431no—
1177#121—431no—
1178#121—861no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121C22×D4311yescharacteristic
1186#121C22×D4311yescharacteristic
1187#121C22×D4311yescharacteristic
1188#121C22×D4311yescharacteristic
1189#120—861no—
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×Q8—861no—
1211C4×Q8—861no—
1212C4×D4—21no—
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—431no—
1222C4×D4—431no—
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—21no—
1240#117—431no—
1241#117—431no—
1242#117—431no—
1243#117—861no—
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
1254#117C22×D4311yescharacteristic
1255#117C22×D4311yescharacteristic
1256C2×C4⋊C4—431no—
1257C2×C4⋊C4—861no—
1258C2×C4⋊C4—861no—
1259C2×C4⋊C4C22×D4311yescharacteristic
1260C2×C22⋊C4—861no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C22⋊C4—861no—
1265C2×C42—431no—
1266C2×C42—861no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107C22×D4311yescharacteristic
1273#107C22×D4311yescharacteristic
1274#107C22×D4311yescharacteristic
1275#107C22×D4311yescharacteristic
1276#107C22×D4311yescharacteristic
1277#106—431no—
1278#106—431no—
1279#106C22×D4311yescharacteristic
1280#106C22×D4311yescharacteristic
1281#106C22×D4311yescharacteristic
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#103—431no—
1303#103—431no—
1304#103—431no—
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#102—431no—
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#97C22×D4311yescharacteristic
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8—431no—
1336C4×C8—431no—
1337C24—861no—
1338C24—861no—
1339#41—862no—
1340#41—862no—
1341#41—3442no—
1342#41—1721no—
1343#41—1721no—
1344C2×Q8—21no—
1345C2×Q8—431no—
1346C2×Q8—431no—
1347C2×Q8—431no—
1348C2×Q8—431no—
1349C2×Q8—431no—
1350C2×Q8—861no—
1351C2×Q8—861no—
1352C2×Q8—861no—
1353C2×Q8—862no—
1354C2×Q8—862no—
1355C2×Q8—861no—
1356C2×Q8—861no—
1357C2×Q8—1721no—
1358C2×Q8—1721no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—431no—
1364C2×D4—431no—
1365C2×D4—431no—
1366C2×D4—431no—
1367C2×D4—862no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—862no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—3442no—
1378C2×D4—1721no—
1379C2×D4—1721no—
1380C2×D4D4×D4311yescharacteristic
1381C2×D4C23×D4311yescharacteristic
1382C2×D4C23×D4311yescharacteristic
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—431no—
1387C22×C4—431no—
1388C22×C4—431no—
1389C22×C4—861no—
1390C22×C4—861no—
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—3442no—
1403C22×C4C23×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405Q16—862no—
1406Q16—862no—
1407Q16—1721no—
1408SD16—434no—
1409SD16—862no—
1410SD16—862no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—1721no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—22no—
1419D8—862no—
1420D8—1721no—
1421M16—22no—
1422M16—862no—
1423M16—1721no—
1424M16—1721no—
1425C2×C8—22no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—431no—
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—861no—
1451C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1475C4⋊C4C23×D4311yescharacteristic
1476C4⋊C4C23×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—21no—
1527C42—21no—
1528C42—431no—
1529C42—431no—
1530C42—431no—
1531C42—431no—
1532C42—431no—
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—431no—
1548C23—861no—
1549C23—861no—
1550C23—3441no—
1551C23—3441no—
1552C23—3441no—
1553C23—1722no—
1554C23—1722no—
1555C23—1722no—
1556C23C2×D4×D4311yescharacteristic
1557C23C2×D4×D4311yescharacteristic
1558Q8—81no—
1559Q8—432no—
1560Q8—861no—
1561Q8—861no—
1562Q8—861no—
1563Q8—861no—
1564Q8—861no—
1565Q8—861no—
1566Q8—861no—
1567Q8—3441no—
1568Q8—3441no—
1569Q8—3441no—
1570Q8—1721no—
1571Q8—1722no—
1572Q8—1722no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—41no—
1578D4—81no—
1579D4—81no—
1580D4—81no—
1581D4—81no—
1582D4—432no—
1583D4—861no—
1584D4—861no—
1585D4—861no—
1586D4—3441no—
1587D4—3441no—
1588D4—3441no—
1589D4—1722no—
1590D4—1722no—
1591D4—1721no—
1592D4—1721no—
1593D4—1722no—
1594D4—1722no—
1595D4—1722no—
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—21no—
1606C2×C4—42no—
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—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—3441no—
1632C2×C4—1721no—
1633C2×C4—1721no—
1634C2×C4—1722no—
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—861no—
1648C8—861no—
1649C8—861no—
1650C8—861no—
1651C8#41×D4312yes—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—861no—
1665C22—862no—
1666C22—861no—
1667C22—861no—
1668C22—3444no—
1669C22—1721no—
1670C22—1721no—
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—41no—
1686C4—861no—
1687C4—862no—
1688C4—861no—
1689C4—861no—
1690C4—861no—
1691C4—861no—
1692C4—861no—
1693C4—861no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C2×#41×D4311yescharacteristic
1700C4#1458373611yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—81no—
1704C2—81no—
1705C2—3441no—
1706C2—1721no—
1707C2—1722no—
1708C2#1914808211yescharacteristic
1709C2#1914937011yescharacteristic
1710C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3347C2
socleC22×C43C23×D4
hypercenter#3347D43
hypocenterC43#61503
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3347

Complements

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

NH ≅ G/Ntype
1. #19148611C2semidirect
2. #19148542C2semidirect
3. #19147666C2semidirect
4. #19147502C2semidirect
5. #19147425C2semidirect
6. #19147412C2semidirect
7. #19147175C2semidirect
8. #19147121C2semidirect
9. #19146861C2semidirect
10. #19146824C2semidirect
11. #19146760C2semidirect
12. #19146745C2semidirect
13. #19146629C2semidirect
14. #19146584C2semidirect
15. #19146233C2semidirect
16. #19146110C2semidirect
17. #19146087C2semidirect
18. #19145279C2semidirect
19. #19145227C2semidirect
20. #19145203C2semidirect
21. #19144882C2semidirect
22. #19144852C2semidirect
23. #19144819C2semidirect
24. #19144774C2semidirect
25. #19144709C2semidirect
26. #19144696C2semidirect
27. #19143577C2semidirect
28. #19143453C2semidirect
29. #19143436C2semidirect
30. #19143406C2semidirect
31. C43×#3347C2semidirect
36. #14583629C22semidirect
37. #14583619C22semidirect
42. #14583617C22semidirect
49. D4×Dic86C22semidirect
51. #14583555C22semidirect
58. #14583516C22semidirect
59. #14583516C22semidirect
65. #14583454C22semidirect
73. #14583376C22semidirect
74. #14583376C22semidirect
76. C4×#10621900C22semidirect
78. #14583306C22semidirect
79. #14583303C22semidirect
80. #14583293C22semidirect
82. #14583282C22semidirect
83. #14583269C22semidirect
84. #14583261C22semidirect
85. #14583257C22semidirect
86. #14583257C22semidirect
87. #14583252C22semidirect
89. #14583242C22semidirect
90. #14583240C22semidirect
91. #14583240C22semidirect
92. #14583236C22semidirect
93. #14583236C22semidirect
94. #14583234C22semidirect
96. #14583223C22semidirect
97. #14583209C22semidirect
98. #14583205C22semidirect
99. #14583203C22semidirect
100. #14583193C22semidirect
101. #14583193C22semidirect
103. #14583183C22semidirect
105. #14583178C22semidirect
107. #14583158C22semidirect
108. #14583158C22semidirect
111. #14583145C22semidirect
113. #14583143C22semidirect
114. #14583140C22semidirect
115. #14583133C22semidirect
116. #14583126C22semidirect
117. #14583122C22semidirect
118. #14583120C22semidirect
119. #14583120C22semidirect
120. #14583120C22semidirect
121. #14583114C22semidirect
124. #14583113C22semidirect
126. #14583104C22semidirect
130. #14583062C22semidirect
131. #14583057C22semidirect
137. #14583040C22semidirect
139. #14583037C22semidirect
141. #14583028C22semidirect
142. #14583027C22semidirect
144. #14583008C22semidirect
145. #14583005C22semidirect
146. #14583005C22semidirect
148. #14582999C22semidirect
153. #14582998C22semidirect
154. #14582998C22semidirect
155. #14582996C22semidirect
156. #14582996C22semidirect
157. #14582996C22semidirect
158. #14582993C22semidirect
159. #14582993C22semidirect
160. #14582993C22semidirect
161. #14582990C22semidirect
165. #14582986C22semidirect
166. #14582986C22semidirect
167. #14582986C22semidirect
168. D8×Dic43C22semidirect
170. #14582975C22semidirect
172. #14582971C22semidirect
174. #14582967C22semidirect
175. #14582957C22semidirect
176. #14582957C22semidirect
177. #14582955C22semidirect
178. #14582938C22semidirect
179. #14582907C22semidirect
182. #14582897C22semidirect
184. C2×#13063248C22semidirect
185. #14582857C22semidirect
186. #14582854C22semidirect
187. #14582851C22semidirect
188. C43×#555C22semidirect
190. C43×#501C22semidirect
192. C43×#482C22semidirect
193. C43×#482C22semidirect
194. C43×#480C22semidirect
195. C43×#478C22semidirect
196. C43×#474C22semidirect
197. C43×#469C22semidirect
199. C43×#442C22semidirect
200. C43×#435C22semidirect
201. C43×#428C22semidirect
202. C43×#427C22semidirect
686. #10621873#41semidirect
854. #3347D43semidirect
899. #555C2×D43semidirect
936. #501C2×D43semidirect
956. #482C2×D43semidirect
957. #482C2×D43semidirect
958. #480C2×D43semidirect
962. #478C2×D43semidirect
970. #474C2×D43semidirect
973. #469C2×D43semidirect
1011. #442C2×D43semidirect
1042. #435C2×D43semidirect
1047. #428C2×D43semidirect
1048. #427C2×D43semidirect
1058. C43#61503semidirect

Maximal subgroups

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

subgroupindex
#191486112
#191485422
#191476662
#191475022
#191474252
#191474122
#191471752
#191471212
#191468612
#191468242
#191467602
#191467452
#191466292
#191465842
#191462332
#191461102
#191460872
#191452792
#191452272
#191452032
#191448822
#191448522
#191448192
#191447742
#191447092
#191446962
#191435772
#191434532
#191434362
#191434062
C43×#33472
#6150343