Finite Group Databasebeta

← #25979685

Subgroups — #25979685

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#19148605C211yesmaximal, characteristic, complemented
2#19148520C211yesmaximal, characteristic, complemented
3#19147654C211yesmaximal, characteristic, complemented
4#19147500C211yesmaximal, characteristic, complemented
5#19147418C211yesmaximal, characteristic, complemented
6#19147414C211yesmaximal, characteristic, complemented
7#19147177C211yesmaximal, characteristic, complemented
8#19147119C211yesmaximal, characteristic, complemented
9#19147099C211yesmaximal, characteristic, complemented
10#19146865C211yesmaximal, characteristic, complemented
11#19146761C211yesmaximal, characteristic, complemented
12#19146752C211yesmaximal, characteristic, complemented
13#19146632C211yesmaximal, characteristic, complemented
14#19146581C211yesmaximal, characteristic, complemented
15#19146230C211yesmaximal, characteristic, complemented
16#19146109C211yesmaximal, characteristic, complemented
17#19146086C211yesmaximal, characteristic, complemented
18#19145285C211yesmaximal, characteristic, complemented
19#19145229C211yesmaximal, characteristic, complemented
20#19145194C211yesmaximal, characteristic, complemented
21#19144884C211yesmaximal, characteristic, complemented
22#19144862C211yesmaximal, characteristic, complemented
23#19144819C211yesmaximal, characteristic, complemented
24#19144780C211yesmaximal, characteristic, complemented
25#19144699C211yesmaximal, characteristic, complemented
26#19144689C211yesmaximal, characteristic, complemented
27#19143581C211yesmaximal, characteristic, complemented
28#19143457C211yesmaximal, characteristic, complemented
29#19143431C211yesmaximal, characteristic, complemented
30#19143399C211yesmaximal, characteristic, complemented
31C43×#3324C211yesmaximal, characteristic, complemented
32C2×#13063354C2211yescharacteristic
33C2×#13063351C2211yescharacteristic
34C22×#10621883C2211yescharacteristic
35#14583635C2211yescharacteristic
36#14583629C2211yescharacteristic, complemented
37#14583621—21no—
38#14583621C2211yescharacteristic, complemented
39#14583617C2211yescharacteristic, complemented
40#14583616—21no—
41#14583616—21no—
42#14583612C2211yescharacteristic, complemented
43#14583611—21no—
44#14583608C2211yescharacteristic
45#14583596C2211yescharacteristic
46#14583592—21no—
47#14583589C2211yescharacteristic
48#14583580—21no—
49#14583580—21no—
50#14583562C2211yescharacteristic, complemented
51#14583559C2211yescharacteristic, complemented
52#14583558C2211yescharacteristic
53#14583549C2211yescharacteristic
54#14583543—21no—
55#14583543C2211yescharacteristic
56#14583543C2211yescharacteristic
57#14583523C2211yescharacteristic, complemented
58#14583522C2211yescharacteristic, complemented
59#14583516C2211yescharacteristic
60#14583515—21no—
61#14583513—21no—
62#14583503C2211yescharacteristic
63#14583494—21no—
64#14583484—21no—
65#14583453—21no—
66#14583451C2211yescharacteristic, complemented
67#14583432—21no—
68#14583430C2211yescharacteristic
69#14583429C2211yescharacteristic
70#14583405—21no—
71C2×#13063306—21no—
72#14583378C2211yescharacteristic
73#14583376C2211yescharacteristic, complemented
74#14583375C2211yescharacteristic, complemented
75#14583374C2211yescharacteristic
76#14583367C2211yescharacteristic, complemented
77C2×D4×Dic43C2211yescharacteristic
78#14583307C2211yescharacteristic, complemented
79#14583305C2211yescharacteristic, complemented
80#14583303C2211yescharacteristic, complemented
81#14583290C2211yescharacteristic, complemented
82#14583286C2211yescharacteristic
83#14583280C2211yescharacteristic, complemented
84#14583266C2211yescharacteristic, complemented
85#14583260C2211yescharacteristic, complemented
86#14583257C2211yescharacteristic, complemented
87#14583257C2211yescharacteristic, complemented
88#14583254C2211yescharacteristic, complemented
89#14583240C2211yescharacteristic, complemented
90#14583240C2211yescharacteristic, complemented
91#14583237C2211yescharacteristic, complemented
92#14583236C2211yescharacteristic, complemented
93#14583235C2211yescharacteristic, complemented
94#14583232C2211yescharacteristic, complemented
95#14583224C2211yescharacteristic, complemented
96#14583222C2211yescharacteristic, complemented
97#14583221C2211yescharacteristic, complemented
98#14583214C2211yescharacteristic, complemented
99#14583207C2211yescharacteristic, complemented
100#14583206C2211yescharacteristic, complemented
101#14583205C2211yescharacteristic, complemented
102#14583198C2211yescharacteristic, complemented
103#14583193C2211yescharacteristic, complemented
104#14583191C2211yescharacteristic, complemented
105#14583187C2211yescharacteristic
106#14583183C2211yescharacteristic, complemented
107#14583177C2211yescharacteristic
108#14583177C2211yescharacteristic, complemented
109#14583177C2211yescharacteristic, complemented
110#14583157C2211yescharacteristic, complemented
111#14583155C2211yescharacteristic, complemented
112#14583151C2211yescharacteristic, complemented
113#14583145C2211yescharacteristic, complemented
114#14583144C2211yescharacteristic, complemented
115#14583143C2211yescharacteristic
116#14583138C2211yescharacteristic, complemented
117#14583134C2211yescharacteristic, complemented
118#14583133C2211yescharacteristic
119#14583127C2211yescharacteristic, complemented
120#14583122C2211yescharacteristic, complemented
121#14583120C2211yescharacteristic, complemented
122#14583120C2211yescharacteristic, complemented
123#14583120C2211yescharacteristic, complemented
124#14583116C2211yescharacteristic
125#14583116C2211yescharacteristic, complemented
126#14583114C2211yescharacteristic
127#14583113C2211yescharacteristic, complemented
128#14583102C2211yescharacteristic
129#14583102C2211yescharacteristic, complemented
130#14583096C2211yescharacteristic
131#14583063C2211yescharacteristic, complemented
132#14583062C2211yescharacteristic
133#14583057C2211yescharacteristic, complemented
134#14583050C2211yescharacteristic
135#14583045C2211yescharacteristic
136#14583042C2211yescharacteristic
137#14583037C2211yescharacteristic
138#14583036C2211yescharacteristic, complemented
139#14583036C2211yescharacteristic, complemented
140#14583033C2211yescharacteristic
141#14583029C2211yescharacteristic, complemented
142#14583028C2211yescharacteristic, complemented
143#14583008C2211yescharacteristic
144#14583008C2211yescharacteristic, complemented
145#14583008C2211yescharacteristic, complemented
146#14583005C2211yescharacteristic, complemented
147#14583004C2211yescharacteristic, complemented
148#14583000C2211yescharacteristic
149#14583000C2211yescharacteristic, complemented
150#14582999C2211yescharacteristic
151#14582998C2211yescharacteristic, complemented
152#14582996C2211yescharacteristic
153#14582996C2211yescharacteristic
154#14582996C2211yescharacteristic
155#14582996C2211yescharacteristic, complemented
156#14582996C2211yescharacteristic, complemented
157#14582996C2211yescharacteristic, complemented
158#14582996C2211yescharacteristic, complemented
159C4×Dic172C2211yescharacteristic, complemented
160#14582993C2211yescharacteristic, complemented
161#14582991C2211yescharacteristic, complemented
162#14582990C2211yescharacteristic
163#14582990C2211yescharacteristic
164#14582990C2211yescharacteristic, complemented
165#14582990C2211yescharacteristic, complemented
166#14582990C2211yescharacteristic, complemented
167SD16×Dic43C2211yescharacteristic, complemented
168#14582979C2211yescharacteristic
169#14582979C2211yescharacteristic, complemented
170#14582974C2211yescharacteristic, complemented
171#14582971C2211yescharacteristic
172#14582968C2211yescharacteristic, complemented
173#14582968C2211yescharacteristic, complemented
174#14582967C2211yescharacteristic, complemented
175#14582959C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582942C2211yescharacteristic, complemented
179#14582938C2211yescharacteristic, complemented
180#14582935C2211yescharacteristic, complemented
181#14582909C2211yescharacteristic, complemented
182#14582901C2211yescharacteristic, complemented
183#14582892C2211yescharacteristic
184#103×D43C2211yescharacteristic, complemented
185#14582857C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187M16×Dic43C2211yescharacteristic, complemented
188C43×#556C2211yescharacteristic
189D42×C43C2211yescharacteristic
190C43×#486C2211yescharacteristic
191C43×#482C2211yescharacteristic
192C43×#482C2211yescharacteristic
193C43×#474C2211yescharacteristic
194C43×#468C2211yescharacteristic
195C43×#468C2211yescharacteristic
196C43×#460C2211yescharacteristic
197C43×#450C2211yescharacteristic
198C43×#450C2211yescharacteristic
199C4×SD16×C43C2211yescharacteristic
200C43×#436C2211yescharacteristic
201C43×#418C2211yescharacteristic
202C43×#418C2211yescharacteristic
203C2×#10621898C2311yescharacteristic
204C2×#10621900—21no—
205C2×#10621900C2311yescharacteristic
206C22×Dic86C2311yescharacteristic
207C2×Q8×D43C2311yescharacteristic
208C23×Dic43—21no—
209#13063354—24no—
210#13063351—24no—
211C2×Dic172C2311yescharacteristic
212C2×Dic172C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621883—24no—
216C2×#10621883C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621877C2311yescharacteristic
226C2×#10621872C2311yescharacteristic
227C22×C43⋊C8C2311yescharacteristic
228C2×C8×D43C2311yescharacteristic
229#13063324—21no—
230#13063324—21no—
231#13063324C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063323—21no—
235#13063323—21no—
236#13063323C2311yescharacteristic
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063320D411yescharacteristic
241#13063319—21no—
242#13063319—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318D411yescharacteristic
249#13063317C2311yescharacteristic
250#13063316C2311yescharacteristic
251#13063315—21no—
252#13063315—21no—
253#13063315D411yescharacteristic
254#13063314—21no—
255#13063314C2311yescharacteristic
256#13063313—21no—
257#13063313C2311yescharacteristic
258#13063312—21no—
259#13063312—21no—
260#13063312C2311yescharacteristic
261#13063312C2311yescharacteristic
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063311—21no—
266#13063311—21no—
267#13063311D411yescharacteristic
268#13063310—21no—
269#13063309D411yescharacteristic
270#13063307—21no—
271#13063307—21no—
272#13063306—21no—
273#13063306—21no—
274#13063306—21no—
275#13063306—21no—
276#13063306—21no—
277#13063306—21no—
278#13063306—21no—
279#13063306—21no—
280#13063306—21no—
281#13063306—21no—
282#13063306—21no—
283#13063306D411yescharacteristic
284#13063305—21no—
285#13063305C2311yescharacteristic
286#13063304—21no—
287#13063304C2311yescharacteristic
288#13063304C2311yescharacteristic
289#13063304C2311yescharacteristic
290#13063303—21no—
291#13063303—21no—
292#13063303—21no—
293#13063303—21no—
294#13063302—21no—
295#13063302—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063302—21no—
300#13063302D411yescharacteristic
301#13063301—21no—
302#13063300C2311yescharacteristic
303#13063299C2311yescharacteristic
304#13063298—21no—
305#13063298—21no—
306#13063297—21no—
307#13063297—21no—
308#13063297—21no—
309#13063297—21no—
310#13063297—21no—
311#13063297D411yescharacteristic
312#13063296—21no—
313#13063296C2311yescharacteristic
314#13063296C2311yescharacteristic
315#13063294—21no—
316#13063294—21no—
317Q8×Dic43C2311yescharacteristic
318C4×Dic86—21no—
319C4×Dic86—21no—
320C4×Dic86—21no—
321C4×Dic86—21no—
322C4×Dic86C2311yescharacteristic
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325#13063290—21no—
326#13063290—21no—
327#13063290—21no—
328#13063290C2311yescharacteristic
329#13063290C2311yescharacteristic
330#13063290C2311yescharacteristic
331#13063290C2311yescharacteristic
332#13063290C2311yescharacteristic
333#13063290C2311yescharacteristic
334D4×Dic43—21no—
335D4×Dic43—21no—
336D4×Dic43—21no—
337D4×Dic43—21no—
338D4×Dic43—21no—
339D4×Dic43—21no—
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343D4×Dic43C2311yescharacteristic
344D4×Dic43C2311yescharacteristic
345D4×Dic43C2311yescharacteristic
346D4×Dic43C2311yescharacteristic
347#13063287—21no—
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350C4×C22⋊D43—21no—
351C4×C22⋊D43C2311yescharacteristic
352C4×C22⋊D43C2311yescharacteristic
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359#13063284C2311yescharacteristic
360#13063284C2311yescharacteristic
361#13063283—21no—
362#13063283C2311yescharacteristic
363#13063282—21no—
364#13063282—21no—
365#13063282—21no—
366#13063282—21no—
367#13063282C2311yescharacteristic
368#13063281—21no—
369#13063281—21no—
370#13063281—21no—
371#13063281—21no—
372#13063281—21no—
373#13063281—21no—
374C2×C4⋊Dic43C2311yescharacteristic
375C2×Dic43⋊C4—21no—
376C2×Dic43⋊C4—21no—
377C4⋊C4×D43C2311yescharacteristic
378C2×C22⋊Dic43—21no—
379C2×C22⋊Dic43—21no—
380C2×C22⋊Dic43—21no—
381C2×C22⋊Dic43—21no—
382C2×C22⋊Dic43—21no—
383C2×C4×Dic43C2311yescharacteristic
384C42×D43—21no—
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#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
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
438C22×D4×C43—21no—
439C22×D4×C43C2311yescharacteristic
440C22×D4×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×M16×C43C2311yescharacteristic
445C2×M16×C43C2311yescharacteristic
446C4⋊Q8×C43C2311yescharacteristic
447#127×C43C2311yescharacteristic
448#126×C43—21no—
449#126×C43—21no—
450#124×C43—21no—
451C22⋊Q8×C43C2311yescharacteristic
452C22⋊Q8×C43C2311yescharacteristic
453#121×C43—21no—
454#121×C43C2311yescharacteristic
455#121×C43C2311yescharacteristic
456#120×C43—21no—
457#120×C43—21no—
458C4×Q8×C43—21no—
459C4×Q8×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462#117×C43C2311yescharacteristic
463#117×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×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—
482C24×C43—21no—
483C2×Q8×C43—21no—
484C2×Q8×C43C2411yescharacteristic
485C2×D4×C43—21no—
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—22no—
493C2×D4×C43—41no—
494C2×D4×C43—41no—
495C2×D4×C43—82no—
496C2×D4×C43C2×D411yescharacteristic
497C2×D4×C43C2411yescharacteristic
498C2×D4×C43C2411yescharacteristic
499C2×D4×C43C2411yescharacteristic
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⋊D43C2×D411yescharacteristic
509C2×C22⋊D43C2×D411yescharacteristic
510C22×Dic43—21no—
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43—82no—
521C22×Dic43C2×D411yescharacteristic
522C22×Dic43C2×D411yescharacteristic
523Q8×D43—22no—
524Q8×D43—41no—
525#10621900—22no—
526#10621900—41no—
527#10621900—82no—
528#10621898—22no—
529#10621898—41no—
530C2×D172—21no—
531C2×D172C2411yescharacteristic
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43C2411yescharacteristic
538C2×Dic86—22no—
539C2×Dic86—21no—
540C2×Dic86—21no—
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86—21no—
544C2×Dic86—41no—
545C2×Dic86C2×D411yescharacteristic
546C2×Dic86C2411yescharacteristic
547C2×Dic86C2411yescharacteristic
548C2×Dic86C2411yescharacteristic
549SD16×C43—22no—
550SD16×C43—41no—
551SD16×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×C43C2×D411yescharacteristic
575C22⋊C4×C43C2×D411yescharacteristic
576C42×C43—21no—
577C42×C43—21no—
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⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43C2×D411yescharacteristic
598C22⋊Dic43C2×D411yescharacteristic
599C22⋊Dic43C2×D411yescharacteristic
600C22⋊Dic43C2×D411yescharacteristic
601#10621885—22no—
602#10621883—22no—
603#10621883—22no—
604#10621883—22no—
605#10621883—22no—
606#10621883—41no—
607#10621883#4114yescomplemented
608#10621882—22no—
609#10621882—22no—
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)⋊C4C2×D411yescharacteristic
622(C2×D43)⋊C4C2×D411yescharacteristic
623(C2×D43)⋊C4C2×D411yescharacteristic
624(C2×D43)⋊C4C2×D411yescharacteristic
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43C2×D411yescharacteristic
630C4⋊Dic43C2×D411yescharacteristic
631C4⋊Dic43C2×D411yescharacteristic
632C4⋊Dic43C2411yescharacteristic
633C4⋊Dic43C2411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
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
684Dic172—22no—
685Dic172—41no—
686#10621873—41no—
687#10621872—22no—
688C8×D43—41no—
689C23×C43—21no—
690C23×C43—21no—
691C23×C43—21no—
692C23×C43—42no—
693C23×C43—42no—
694C23×C43—42no—
695C23×C43—81no—
696C23×C43—81no—
697C23×C43—81no—
698C23×C43C22×D411yescharacteristic
699C23×C43C22×D411yescharacteristic
700C22×D43—21no—
701C22×D43C22×D411yescharacteristic
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—81no—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—21no—
710D4×C43—41no—
711D4×C43—42no—
712D4×C43—42no—
713D4×C43—42no—
714D4×C43—81no—
715D4×C43—81no—
716D4×C43—81no—
717D4×C43C2×#4112yes—
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—81no—
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C2511yescharacteristic
733C22⋊D43—41no—
734C22⋊D43—41no—
735C22⋊D43—42no—
736C22⋊D43—42no—
737C22⋊D43—81no—
738C22⋊D43—81no—
739C22⋊D43—81no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—41no—
748C2×Dic43—41no—
749C2×Dic43—42no—
750C2×Dic43—42no—
751C2×Dic43—42no—
752C2×Dic43—81no—
753C2×Dic43—81no—
754C2×Dic43—81no—
755C2×Dic43—81no—
756C2×Dic43—81no—
757C2×Dic43—81no—
758C2×Dic43—81no—
759C2×Dic43C22×D411yescharacteristic
760C2×Dic43C22×D411yescharacteristic
761C2×Dic43C22×D411yescharacteristic
762C2×Dic43C22×D411yescharacteristic
763C2×Dic43C22×D411yescharacteristic
764C2×Dic43C22×D411yescharacteristic
765C2×Dic43C22×D411yescharacteristic
766D172—21no—
767D172—21no—
768D172—81no—
769C4×D43—21no—
770C4×D43—21no—
771C4×D43—42no—
772C4×D43—42no—
773C4×D43—42no—
774C4×D43—81no—
775C4×D43—81no—
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×C43—21no—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8C2×#4112yes—
796#61503—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—84no—
813C22×C43—162no—
814C22×C43C23×D411yescharacteristic
815C2×D43—21no—
816C2×D43—21no—
817C2×D43—21no—
818C2×D43—41no—
819C2×D43—41no—
820C2×D43—41no—
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#3518—431no—
847#3513—431no—
848#3401—431no—
849#3385—431no—
850#3376—431no—
851#3375—431no—
852#3353—431no—
853#3349—431no—
854#3347—431no—
855#3327—431no—
856#3324D4311yescharacteristic, complemented
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—42no—
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—
891Q82—431no—
892#556—431no—
893#556—431no—
894#556—861no—
895#556—861no—
896#556—861no—
897#556C2×D4311yescharacteristic
898#555—431no—
899#555—861no—
900#554—431no—
901#553—431no—
902#553—861no—
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—
913D42C2×D4311yescharacteristic
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#501—431no—
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#486C2×D4311yescharacteristic
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#482—431no—
956#482C2×D4311yescharacteristic
957#482C2×D4311yescharacteristic
958#480—431no—
959#479—431no—
960#479—431no—
961#479—431no—
962#478—431no—
963#477—431no—
964#477—431no—
965#476—431no—
966#475—431no—
967#474—431no—
968#474—431no—
969#474—431no—
970#474C2×D4311yescharacteristic
971#470—431no—
972#470—431no—
973#469—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468C2×D4311yescharacteristic
978#468C2×D4311yescharacteristic
979#467—431no—
980#466—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#463—431no—
991#461—431no—
992#461—431no—
993#460—431no—
994#460C2×D4311yescharacteristic
995#452—431no—
996#452—431no—
997#451—431no—
998#450—431no—
999#450C2×D4311yescharacteristic
1000#450C2×D4311yescharacteristic
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#442—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×Q16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×SD16—431no—
1034C4×SD16C2×D4311yescharacteristic
1035C4×D8—431no—
1036C4×D8—431no—
1037#436—431no—
1038#436C2×D4311yescharacteristic
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#418C2×D4311yescharacteristic
1051#418C2×D4311yescharacteristic
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—21no—
1065C22×D4C22×D4311yescharacteristic
1066C22×D4C22×D4311yescharacteristic
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—864no—
1081C2×SD16C22×D4311yescharacteristic
1082C2×SD16C22×D4311yescharacteristic
1083C2×SD16C22×D4311yescharacteristic
1084C2×D8—431no—
1085C2×D8—431no—
1086C2×D8—431no—
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—861no—
1098C4⋊Q8—861no—
1099C4⋊Q8—861no—
1100C4⋊Q8—861no—
1101C4⋊Q8C22×D4311yescharacteristic
1102#127C22×D4311yescharacteristic
1103#126—21no—
1104#126—21no—
1105#126—431no—
1106#126—431no—
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—431no—
1120#125—861no—
1121#125—861no—
1122#124—21no—
1123#124—431no—
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#123—431no—
1138#123—431no—
1139#123—861no—
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—861no—
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⋊Q8C22×D4311yescharacteristic
1172C22⋊Q8C22×D4311yescharacteristic
1173#121—21no—
1174#121—431no—
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#121—861no—
1187#121C22×D4311yescharacteristic
1188#121C22×D4311yescharacteristic
1189#120—21no—
1190#120—21no—
1191#120—861no—
1192#120—861no—
1193C4×Q8—21no—
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×Q8C22×D4311yescharacteristic
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—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×D4—861no—
1237C4×D4C22×D4311yescharacteristic
1238C4×D4C22×D4311yescharacteristic
1239#117—431no—
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#117—861no—
1254#117C22×D4311yescharacteristic
1255#117C22×D4311yescharacteristic
1256C2×C4⋊C4—431no—
1257C2×C4⋊C4—431no—
1258C2×C4⋊C4—861no—
1259C2×C4⋊C4—861no—
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#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#103—431no—
1303#103—431no—
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#102C22×D4311yescharacteristic
1313#102C22×D4311yescharacteristic
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—21no—
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—861no—
1350C2×Q8—861no—
1351C2×Q8—861no—
1352C2×Q8—861no—
1353C2×Q8—862no—
1354C2×Q8—861no—
1355C2×Q8—862no—
1356C2×Q8—1721no—
1357C2×Q8—1721no—
1358C2×Q8C23×D4311yescharacteristic
1359C2×D4—22no—
1360C2×D4—22no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—41no—
1368C2×D4—41no—
1369C2×D4—82no—
1370C2×D4—431no—
1371C2×D4—431no—
1372C2×D4—431no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—861no—
1379C2×D4D4×D4311yescharacteristic
1380C2×D4C23×D4311yescharacteristic
1381C2×D4C23×D4311yescharacteristic
1382C2×D4C23×D4311yescharacteristic
1383C22×C4—21no—
1384C22×C4—431no—
1385C22×C4—431no—
1386C22×C4—431no—
1387C22×C4—861no—
1388C22×C4—861no—
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—22no—
1409SD16—41no—
1410SD16—41no—
1411SD16—434no—
1412SD16—862no—
1413SD16—862no—
1414SD16—862no—
1415SD16—862no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—862no—
1419D8—862no—
1420D8—1721no—
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—431no—
1489C22⋊C4—431no—
1490C22⋊C4—431no—
1491C22⋊C4—431no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
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—21no—
1548C23—42no—
1549C23—42no—
1550C23—42no—
1551C23—81no—
1552C23—81no—
1553C23—81no—
1554C23—431no—
1555C23—861no—
1556C23C2×D4×D4311yescharacteristic
1557C23C2×D4×D4311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—81no—
1561Q8—432no—
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—21no—
1578D4—41no—
1579D4—42no—
1580D4—42no—
1581D4—42no—
1582D4—81no—
1583D4—81no—
1584D4—81no—
1585D4—861no—
1586D4—861no—
1587D4—3441no—
1588D4—3441no—
1589D4—3441no—
1590D4—3441no—
1591D4—1721no—
1592D4—1721no—
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—81no—
1606C2×C4—431no—
1607C2×C4—431no—
1608C2×C4—431no—
1609C2×C4—431no—
1610C2×C4—431no—
1611C2×C4—431no—
1612C2×C4—431no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—3441no—
1623C2×C4—3441no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—1722no—
1632C2×C4—1722no—
1633C2×C4—1722no—
1634C2×C4—1721no—
1635C2×C4—1721no—
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—84no—
1668C22—162no—
1669C22—861no—
1670C22—861no—
1671C22—861no—
1672C22—1721no—
1673C22—1721no—
1674C22—1721no—
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#1914937111yescharacteristic
1710C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3324C2
socleC22×C43C23×D4
hypercenter#3324D43
hypocenterC43#61503
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3324

Complements

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

NH ≅ G/Ntype
1. #19148605C2semidirect
2. #19148520C2semidirect
3. #19147654C2semidirect
4. #19147500C2semidirect
5. #19147418C2semidirect
6. #19147414C2semidirect
7. #19147177C2semidirect
8. #19147119C2semidirect
9. #19147099C2semidirect
10. #19146865C2semidirect
11. #19146761C2semidirect
12. #19146752C2semidirect
13. #19146632C2semidirect
14. #19146581C2semidirect
15. #19146230C2semidirect
16. #19146109C2semidirect
17. #19146086C2semidirect
18. #19145285C2semidirect
19. #19145229C2semidirect
20. #19145194C2semidirect
21. #19144884C2semidirect
22. #19144862C2semidirect
23. #19144819C2semidirect
24. #19144780C2semidirect
25. #19144699C2semidirect
26. #19144689C2semidirect
27. #19143581C2semidirect
28. #19143457C2semidirect
29. #19143431C2semidirect
30. #19143399C2semidirect
31. C43×#3324C2semidirect
36. #14583629C22semidirect
38. #14583621C22semidirect
39. #14583617C22semidirect
42. #14583612C22semidirect
50. #14583562C22semidirect
51. #14583559C22semidirect
57. #14583523C22semidirect
58. #14583522C22semidirect
66. #14583451C22semidirect
73. #14583376C22semidirect
74. #14583375C22semidirect
76. #14583367C22semidirect
78. #14583307C22semidirect
79. #14583305C22semidirect
80. #14583303C22semidirect
81. #14583290C22semidirect
83. #14583280C22semidirect
84. #14583266C22semidirect
85. #14583260C22semidirect
86. #14583257C22semidirect
87. #14583257C22semidirect
88. #14583254C22semidirect
89. #14583240C22semidirect
90. #14583240C22semidirect
91. #14583237C22semidirect
92. #14583236C22semidirect
93. #14583235C22semidirect
94. #14583232C22semidirect
95. #14583224C22semidirect
96. #14583222C22semidirect
97. #14583221C22semidirect
98. #14583214C22semidirect
99. #14583207C22semidirect
100. #14583206C22semidirect
101. #14583205C22semidirect
102. #14583198C22semidirect
103. #14583193C22semidirect
104. #14583191C22semidirect
106. #14583183C22semidirect
108. #14583177C22semidirect
109. #14583177C22semidirect
110. #14583157C22semidirect
111. #14583155C22semidirect
112. #14583151C22semidirect
113. #14583145C22semidirect
114. #14583144C22semidirect
116. #14583138C22semidirect
117. #14583134C22semidirect
119. #14583127C22semidirect
120. #14583122C22semidirect
121. #14583120C22semidirect
122. #14583120C22semidirect
123. #14583120C22semidirect
125. #14583116C22semidirect
127. #14583113C22semidirect
129. #14583102C22semidirect
131. #14583063C22semidirect
133. #14583057C22semidirect
138. #14583036C22semidirect
139. #14583036C22semidirect
141. #14583029C22semidirect
142. #14583028C22semidirect
144. #14583008C22semidirect
145. #14583008C22semidirect
146. #14583005C22semidirect
147. #14583004C22semidirect
149. #14583000C22semidirect
151. #14582998C22semidirect
155. #14582996C22semidirect
156. #14582996C22semidirect
157. #14582996C22semidirect
158. #14582996C22semidirect
159. C4×Dic172C22semidirect
160. #14582993C22semidirect
161. #14582991C22semidirect
164. #14582990C22semidirect
165. #14582990C22semidirect
166. #14582990C22semidirect
167. SD16×Dic43C22semidirect
169. #14582979C22semidirect
170. #14582974C22semidirect
172. #14582968C22semidirect
173. #14582968C22semidirect
174. #14582967C22semidirect
175. #14582959C22semidirect
176. #14582957C22semidirect
177. #14582953C22semidirect
178. #14582942C22semidirect
179. #14582938C22semidirect
180. #14582935C22semidirect
181. #14582909C22semidirect
182. #14582901C22semidirect
184. #103×D43C22semidirect
185. #14582857C22semidirect
186. #14582853C22semidirect
187. M16×Dic43C22semidirect
607. #10621883#41semidirect
856. #3324D43semidirect
1058. C43#61503semidirect

Maximal subgroups

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

subgroupindex
#191486052
#191485202
#191476542
#191475002
#191474182
#191474142
#191471772
#191471192
#191470992
#191468652
#191467612
#191467522
#191466322
#191465812
#191462302
#191461092
#191460862
#191452852
#191452292
#191451942
#191448842
#191448622
#191448192
#191447802
#191446992
#191446892
#191435812
#191434572
#191434312
#191433992
C43×#33242
#6150343