Finite Group Databasebeta

← #25975985

Subgroups — #25975985

Order 11008.

1824 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148513C211yesmaximal, characteristic, complemented
2#19148441C211yesmaximal, characteristic, complemented
3#19147202C211yesmaximal, characteristic, complemented
4#19147195C211yesmaximal, characteristic, complemented
5#19147154C211yesmaximal, characteristic, complemented
6#19147149C211yesmaximal, characteristic, complemented
7#19147113C211yesmaximal, characteristic, complemented
8#19147106C211yesmaximal, characteristic, complemented
9#19147101C211yesmaximal, characteristic, complemented
10#19147088C211yesmaximal, characteristic, complemented
11#19147071C211yesmaximal, characteristic, complemented
12#19147058C211yesmaximal, characteristic, complemented
13#19147031C211yesmaximal, characteristic, complemented
14#19147028C211yesmaximal, characteristic, complemented
15#19146994C211yesmaximal, characteristic, complemented
16#19146981C211yesmaximal, characteristic, complemented
17#19146976C211yesmaximal, characteristic, complemented
18#19145143C211yesmaximal, characteristic, complemented
19#19144585C211yesmaximal, characteristic, complemented
20#19144570C211yesmaximal, characteristic, complemented
21#19144552C211yesmaximal, characteristic, complemented
22#19144550C211yesmaximal, characteristic, complemented
23#19144380C211yesmaximal, characteristic, complemented
24#478×D43C211yesmaximal, characteristic, complemented
25#19144274C211yesmaximal, characteristic, complemented
26#19144274C211yesmaximal, characteristic, complemented
27C4×#13063349C211yesmaximal, characteristic, complemented
28#19143334C211yesmaximal, characteristic, complemented
29#19143191C211yesmaximal, characteristic, complemented
30#19143187C211yesmaximal, characteristic, complemented
31C43×#3339C211yesmaximal, characteristic, complemented
32C2×#13063349C2211yescharacteristic
33C2×#13063331C2211yescharacteristic
34C2×#13063331C2211yescharacteristic
35#14583633—21no—
36#14583632—21no—
37#14583616—21no—
38#14583613C2211yescharacteristic
39#14583612C2211yescharacteristic
40#14583602C2211yescharacteristic
41#14583601C2211yescharacteristic, complemented
42#14583600—21no—
43#14583599—21no—
44#14583599C2211yescharacteristic
45#14583599C2211yescharacteristic, complemented
46#14583596—21no—
47#14583596C2211yescharacteristic, complemented
48#14583595C2211yescharacteristic
49#14583594—21no—
50#14583589C2211yescharacteristic, complemented
51#14583588C2211yescharacteristic, complemented
52#14583587C2211yescharacteristic, complemented
53#14583584C2211yescharacteristic, complemented
54#14583567—21no—
55#14583550C2211yescharacteristic
56#14583549C2211yescharacteristic
57#14583506—21no—
58#14583499—21no—
59#14583488—21no—
60#14583481—21no—
61#14583478C2211yescharacteristic
62#14583478C2211yescharacteristic
63#14583465C2211yescharacteristic
64#14583465C2211yescharacteristic
65#14583455C2211yescharacteristic
66#14583446C2211yescharacteristic
67#14583429—21no—
68#14583426—21no—
69#125×D43C2211yescharacteristic
70#14583408—21no—
71#14583407—21no—
72#14583380C2211yescharacteristic
73#14583380C2211yescharacteristic
74#14583379C2211yescharacteristic
75#14583379C2211yescharacteristic
76C4×#10621900C2211yescharacteristic
77C4×D4×D43C2211yescharacteristic
78#14583307C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583306C2211yescharacteristic, complemented
81#14583306C2211yescharacteristic, complemented
82#14583301C2211yescharacteristic, complemented
83#14583298C2211yescharacteristic, complemented
84#14583298C2211yescharacteristic, complemented
85#14583243C2211yescharacteristic, complemented
86#14583243C2211yescharacteristic, complemented
87#14583241C2211yescharacteristic, complemented
88#14583240C2211yescharacteristic, complemented
89#14583236C2211yescharacteristic, complemented
90#14583235C2211yescharacteristic, complemented
91#14583231C2211yescharacteristic, complemented
92#14583229C2211yescharacteristic, complemented
93#14583226C2211yescharacteristic
94#14583225C2211yescharacteristic
95#14583224C2211yescharacteristic
96#14583223C2211yescharacteristic
97#14583222C2211yescharacteristic
98#14583221C2211yescharacteristic
99#14583221C2211yescharacteristic, complemented
100#14583221C2211yescharacteristic, complemented
101#14583220C2211yescharacteristic
102#14583220C2211yescharacteristic, complemented
103#14583219C2211yescharacteristic
104#14583219C2211yescharacteristic
105#14583216C2211yescharacteristic, complemented
106#14583215C2211yescharacteristic
107#14583213C2211yescharacteristic
108#14583212C2211yescharacteristic
109#14583211C2211yescharacteristic
110#14583211C2211yescharacteristic
111#14583211C2211yescharacteristic, complemented
112#14583210C2211yescharacteristic, complemented
113#14583207C2211yescharacteristic, complemented
114#14583203C2211yescharacteristic, complemented
115#14583202C2211yescharacteristic
116#14583201C2211yescharacteristic
117#14583200C2211yescharacteristic
118#14583199C2211yescharacteristic
119#14583199C2211yescharacteristic, complemented
120#14583198C2211yescharacteristic
121#14583197C2211yescharacteristic
122#14583196C2211yescharacteristic
123#14583193C2211yescharacteristic, complemented
124#14583187C2211yescharacteristic, complemented
125#14583183C2211yescharacteristic, complemented
126#14583177C2211yescharacteristic, complemented
127#14583150C2211yescharacteristic
128#14583150C2211yescharacteristic
129#14583149C2211yescharacteristic
130#14583149C2211yescharacteristic
131#14583146C2211yescharacteristic
132#14583146C2211yescharacteristic
133#14583143C2211yescharacteristic
134#14583143C2211yescharacteristic
135#14583134C2211yescharacteristic
136#14583134C2211yescharacteristic
137#14583128C2211yescharacteristic
138#14583128C2211yescharacteristic
139#14583127C2211yescharacteristic
140#14583127C2211yescharacteristic
141#14583011C2211yescharacteristic
142#14583008C2211yescharacteristic
143#14582998C2211yescharacteristic
144#14582996C2211yescharacteristic
145C4×#10621873C2211yescharacteristic
146C4×#10621883C2211yescharacteristic
147C4×#10621882C2211yescharacteristic
148#14582978C2211yescharacteristic, complemented
149#14582977C2211yescharacteristic, complemented
150#14582973C2211yescharacteristic, complemented
151#14582973C2211yescharacteristic, complemented
152#14582970C2211yescharacteristic, complemented
153#14582970C2211yescharacteristic, complemented
154#14582964C2211yescharacteristic, complemented
155#14582942C2211yescharacteristic, complemented
156#14582942C2211yescharacteristic, complemented
157#14582940C2211yescharacteristic
158#14582940C2211yescharacteristic
159#14582940C2211yescharacteristic
160#14582940C2211yescharacteristic, complemented
161#14582940C2211yescharacteristic, complemented
162#14582940C2211yescharacteristic, complemented
163#14582940C2211yescharacteristic, complemented
164#14582939C2211yescharacteristic, complemented
165#14582939C2211yescharacteristic, complemented
166#14582938C2211yescharacteristic
167#14582938C2211yescharacteristic
168#14582937C2211yescharacteristic, complemented
169#14582936C2211yescharacteristic
170#14582936C2211yescharacteristic, complemented
171#14582934C2211yescharacteristic
172#14582934C2211yescharacteristic, complemented
173#107×D43C2211yescharacteristic
174#107×D43C2211yescharacteristic, complemented
175C2×#13063257C2211yescharacteristic, complemented
176#106×D43C2211yescharacteristic
177#106×D43C2211yescharacteristic, complemented
178C4⋊C8×D43C2211yescharacteristic
179#14582902C2211yescharacteristic
180#14582897C2211yescharacteristic
181#14582892C2211yescharacteristic
182#14582892C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582864C2211yescharacteristic
187C4×#10621872C2211yescharacteristic
188C43×#553C2211yescharacteristic
189C43×#553C2211yescharacteristic, complemented
190C43×#499C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic
192C43×#482C2211yescharacteristic, complemented
193C43×#481C2211yescharacteristic
194C43×#481C2211yescharacteristic, complemented
195C43×#478C2211yescharacteristic
196C43×#478C2211yescharacteristic, complemented
197C43×#466C2211yescharacteristic
198C43×#466C2211yescharacteristic
199C4×D8×C43C2211yescharacteristic
200C8×D4×C43C2211yescharacteristic, complemented
201C43×#427C2211yescharacteristic, complemented
202C2×#107×C43C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621898C2311yescharacteristic
205C2×#10621898C2311yescharacteristic
206C2×#10621900—21no—
207C2×#10621900C2311yescharacteristic
208C2×D4×D43C2311yescharacteristic
209C22×C4×D43—21no—
210#13063349—24no—
211C2×#10621873C2311yescharacteristic
212C2×#10621883C2311yescharacteristic
213C2×#10621882C2311yescharacteristic
214#13063331—24no—
215#13063331—24no—
216C2×#10621877C2311yescharacteristic
217C2×#10621877C2311yescharacteristic
218C2×#10621872C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221C2×#10621872C2311yescharacteristic
222C2×C8×D43C2311yescharacteristic
223C2×C8×D43C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226#13063324D411yescharacteristic
227#13063324C2311yescharacteristic
228#13063324C2311yescharacteristic
229#13063321—21no—
230#13063321—21no—
231#13063321D411yescharacteristic
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063318—21no—
237#13063318—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063317—21no—
243#13063317C2311yescharacteristic
244#13063317C2311yescharacteristic
245#13063316—21no—
246#13063316C2311yescharacteristic
247#13063316C2311yescharacteristic
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063313—21no—
253#13063312—21no—
254#13063311—21no—
255#13063311—21no—
256#13063311—21no—
257#13063311—21no—
258#13063311D411yescharacteristic
259#13063311D411yescharacteristic
260#13063310—21no—
261#13063310—21no—
262#13063310—21no—
263#13063309—21no—
264#13063308—21no—
265#13063308—21no—
266#13063308—21no—
267#13063308—21no—
268#13063307—21no—
269#13063307—21no—
270#13063307—21no—
271#13063306—21no—
272#13063306—21no—
273#13063306—21no—
274#13063305C2311yescharacteristic
275#13063305C2311yescharacteristic
276#13063304C2311yescharacteristic
277#13063304C2311yescharacteristic
278#13063303—21no—
279#13063303—21no—
280#13063303—21no—
281#13063302—21no—
282#13063302—21no—
283#13063302—21no—
284#13063300—21no—
285#13063300D411yescharacteristic
286#13063300C2311yescharacteristic
287#13063300C2311yescharacteristic
288#13063299C2311yescharacteristic
289#13063299C2311yescharacteristic
290#13063298—21no—
291#13063298—21no—
292#13063298—21no—
293#13063298—21no—
294#13063298—21no—
295#13063298D411yescharacteristic
296#13063298D411yescharacteristic
297#13063297—21no—
298#13063297—21no—
299#13063297—21no—
300#13063297—21no—
301#13063297—21no—
302#13063296—21no—
303#13063296—21no—
304#13063296—21no—
305#13063296D411yescharacteristic
306#13063296C2311yescharacteristic
307#13063296C2311yescharacteristic
308#13063296C2311yescharacteristic
309#13063296C2311yescharacteristic
310#13063295—21no—
311#13063295—21no—
312#13063293—21no—
313#13063293—21no—
314C4×Dic86—21no—
315C4×Dic86—21no—
316C4×Dic86C2311yescharacteristic
317#13063290—21no—
318#13063290—21no—
319#13063290—21no—
320#13063290—21no—
321#13063290C2311yescharacteristic
322C4×D172—21no—
323C4×D172—21no—
324C4×D172C2311yescharacteristic
325C4×D172C2311yescharacteristic
326D4×Dic43—21no—
327D4×Dic43C2311yescharacteristic
328D4×Dic43C2311yescharacteristic
329#13063287—21no—
330#13063287—21no—
331#13063287—21no—
332#13063287C2311yescharacteristic
333C4×C22⋊D43—21no—
334C4×C22⋊D43—21no—
335C4×C22⋊D43—21no—
336C4×C22⋊D43—21no—
337C4×C22⋊D43—21no—
338C4×C22⋊D43—21no—
339C4×C22⋊D43—21no—
340C4×C22⋊D43—21no—
341C4×C22⋊D43C2311yescharacteristic
342C4×C22⋊D43C2311yescharacteristic
343(C22⋊D43)⋊C4—21no—
344(C22⋊D43)⋊C4—21no—
345(C22⋊D43)⋊C4—21no—
346(C22⋊D43)⋊C4—21no—
347(C22⋊D43)⋊C4—21no—
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4—21no—
351#13063284—21no—
352#13063284C2311yescharacteristic
353#13063284C2311yescharacteristic
354#13063283—21no—
355#13063283C2311yescharacteristic
356#13063283C2311yescharacteristic
357#13063283C2311yescharacteristic
358#13063283C2311yescharacteristic
359#13063283C2311yescharacteristic
360#13063283C2311yescharacteristic
361#13063283C2311yescharacteristic
362#13063282—21no—
363#13063282—21no—
364#13063281—21no—
365#13063281—21no—
366#13063281—21no—
367C2×C4⋊Dic43C2311yescharacteristic
368C2×C4⋊Dic43C2311yescharacteristic
369C4⋊C4×D43—21no—
370C4⋊C4×D43—21no—
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C4⋊C4×D43C2311yescharacteristic
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C22⋊C4×D43—21no—
379C2×C4×Dic43—21no—
380C42×D43C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063258C2311yescharacteristic
394#13063257C2311yescharacteristic
395#13063257C2311yescharacteristic
396#13063257C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063256C2311yescharacteristic
406#13063256C2311yescharacteristic
407#13063256C2311yescharacteristic
408C4⋊(C43⋊C8)C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429C22⋊(C43⋊C8)C2311yescharacteristic
430C22⋊(C43⋊C8)C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432(C2×D43)⋊C8C2311yescharacteristic
433(C2×D43)⋊C8C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435#13063235C2311yescharacteristic
436#13063235C2311yescharacteristic
437C4×C43⋊C8C2311yescharacteristic
438C2×D8×C43C2311yescharacteristic
439C22×C8×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441#126×C43—21no—
442#126×C43—21no—
443#125×C43C2311yescharacteristic
444#125×C43C2311yescharacteristic
445#123×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×C43—21no—
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
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#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
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C2×D4×C43—21no—
483C2×D4×C43—21no—
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43C2×D411yescharacteristic
487C2×D4×C43C2411yescharacteristic
488C2×D4×C43C2411yescharacteristic
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43C2411yescharacteristic
494C22×C4×C43C2411yescharacteristic
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⋊D43C2×D411yescharacteristic
504C2×C22⋊D43C2×D411yescharacteristic
505C2×C22⋊D43C2×D411yescharacteristic
506C2×C22⋊D43C2×D411yescharacteristic
507C2×C22⋊D43C2×D411yescharacteristic
508C2×C22⋊D43C2×D411yescharacteristic
509C22×Dic43—21no—
510C22×Dic43—21no—
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514#10621900—22no—
515#10621900—22no—
516#10621900—82no—
517D4×D43—22no—
518D4×D43—22no—
519#10621898—22no—
520#10621898—22no—
521#10621898—22no—
522#10621898—22no—
523#10621898—82no—
524C2×D172—21no—
525C2×D172—21no—
526C2×D172C2×D411yescharacteristic
527C2×D172C2×D411yescharacteristic
528C2×D172C2×D411yescharacteristic
529C2×D172C2411yescharacteristic
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—82no—
540C2×C4×D43C2×D411yescharacteristic
541C2×C4×D43C2×D411yescharacteristic
542C2×C4×D43C2411yescharacteristic
543C2×C4×D43C2411yescharacteristic
544C2×C4×D43C2411yescharacteristic
545C2×Dic86—21no—
546C2×Dic86—21no—
547C2×Dic86C2×D411yescharacteristic
548C2×Dic86C2×D411yescharacteristic
549C2×Dic86C2411yescharacteristic
550D8×C43—22no—
551C2×C8×C43—22no—
552C2×C8×C43—22no—
553C2×C8×C43C2411yescharacteristic
554C2×C8×C43C2411yescharacteristic
555C2×C8×C43C2411yescharacteristic
556C2×C8×C43C2411yescharacteristic
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43C2×D411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
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×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43C2×D411yescharacteristic
579C22⋊C4×C43C2×D411yescharacteristic
580C42×C43—21no—
581C42×C43—21no—
582C42×C43C2411yescharacteristic
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
595#10621883—22no—
596#10621882—22no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4C2×D411yescharacteristic
613(C2×D43)⋊C4C2×D411yescharacteristic
614(C2×D43)⋊C4C2×D411yescharacteristic
615(C2×D43)⋊C4C2×D411yescharacteristic
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43C2×D411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
626C4⋊Dic43C2411yescharacteristic
627C4⋊Dic43C2411yescharacteristic
628C4⋊Dic43C2411yescharacteristic
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43C2×D411yescharacteristic
662C4×Dic43C2×D411yescharacteristic
663C4×Dic43C2411yescharacteristic
664#10621877—22no—
665#10621877—22no—
666C2×C43⋊C8C2411yescharacteristic
667C2×C43⋊C8C2411yescharacteristic
668C2×C43⋊C8C2411yescharacteristic
669C2×C43⋊C8C2411yescharacteristic
670#10621873—22no—
671#10621872—22no—
672#10621872—22no—
673#10621872—22no—
674#10621872#4114yescomplemented
675C8×D43—22no—
676C8×D43—22no—
677C8×D43—22no—
678C8×D43—22no—
679C23×C43—21no—
680C23×C43—21no—
681C23×C43C22×D411yescharacteristic
682C23×C43C22×D411yescharacteristic
683C22×D43—21no—
684C22×D43—42no—
685C22×D43—81no—
686C22×D43—81no—
687C22×D43C22×D411yescharacteristic
688C22×D43C22×D411yescharacteristic
689C22×D43C22×D411yescharacteristic
690D4×C43—21no—
691D4×C43—21no—
692D4×C43—21no—
693D4×C43—21no—
694D4×C43—41no—
695D4×C43—81no—
696D4×C43—81no—
697D4×C43—81no—
698D4×C43—81no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—81no—
710C2×C4×C43—81no—
711C2×C4×C43—81no—
712C2×C4×C43—81no—
713C2×C4×C43C22×D411yescharacteristic
714C2×C4×C43C22×D411yescharacteristic
715C2×C4×C43C22×D411yescharacteristic
716C2×C4×C43C22×D411yescharacteristic
717C2×C4×C43C2511yescharacteristic
718C22⋊D43—22no—
719C22⋊D43—22no—
720C22⋊D43—22no—
721C22⋊D43—22no—
722C22⋊D43—41no—
723C22⋊D43—41no—
724C22⋊D43—42no—
725C22⋊D43—42no—
726C22⋊D43—81no—
727C22⋊D43—81no—
728C22⋊D43—81no—
729C22⋊D43—81no—
730C22⋊D43—81no—
731C22⋊D43—81no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—42no—
740C2×Dic43—42no—
741C2×Dic43—81no—
742C2×Dic43—81no—
743C2×Dic43—81no—
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748C2×Dic43C22×D411yescharacteristic
749D172—22no—
750D172—22no—
751D172—21no—
752D172—21no—
753D172—41no—
754D172—81no—
755D172—81no—
756C4×D43—21no—
757C4×D43—21no—
758C4×D43—21no—
759C4×D43—21no—
760C4×D43—41no—
761C4×D43—41no—
762C4×D43—42no—
763C4×D43—81no—
764C4×D43—81no—
765C4×D43—81no—
766C4×D43—81no—
767C4×D43—81no—
768C4×D43—81no—
769C4×D43—81no—
770C4×D43—81no—
771C4×D43C2×#4112yes—
772C4×D432−1+412yes—
773Dic86—22no—
774Dic86—22no—
775Dic86—21no—
776Dic86—21no—
777Dic86—42no—
778Dic86—81no—
779C8×C43—21no—
780C8×C43—21no—
781C8×C43—21no—
782C8×C43C2×#4112yes—
783C43⋊C8—21no—
784C43⋊C8—21no—
785C43⋊C8—21no—
786C43⋊C8C2×#4112yes—
787#61283—431nomaximal, Sylow
788C22×C43—21no—
789C22×C43—21no—
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—21no—
793C22×C43—21no—
794C22×C43—41no—
795C22×C43—41no—
796C22×C43—41no—
797C22×C43—41no—
798C22×C43—41no—
799C22×C43—41no—
800C22×C43C23×D411yescharacteristic
801C2×D43—21no—
802C2×D43—21no—
803C2×D43—21no—
804C2×D43—21no—
805C2×D43—21no—
806C2×D43—21no—
807C2×D43—21no—
808C2×D43—21no—
809C2×D43—41no—
810C2×D43—41no—
811C2×D43—41no—
812C2×D43—84no—
813C2×D43#54712yes—
814C4×C43—21no—
815C4×C43—21no—
816C4×C43—21no—
817C4×C43—21no—
818C4×C43—41no—
819C4×C43—41no—
820C4×C43—41no—
821C4×C43—41no—
822C4×C43—41no—
823C4×C43—41no—
824C4×C43C22×#4111yescharacteristic
825C4×C43C2×2−1+411yescharacteristic
826Dic43—21no—
827Dic43—21no—
828Dic43—21no—
829Dic43—21no—
830Dic43—41no—
831Dic43—41no—
832Dic43—41no—
833Dic43—41no—
834Dic43—41no—
835Dic43—41no—
836Dic43—41no—
837Dic43#54712yes—
838#3512—431no—
839#3506—431no—
840#3355—431no—
841#3355—431no—
842#3351—431no—
843#3351—431no—
844#3348—431no—
845#3348—431no—
846#3347—431no—
847#3347—431no—
848#3345—431no—
849#3345—431no—
850#3343—431no—
851#3343—431no—
852#3339—431no—
853#3339D4311yescharacteristic, complemented
854#3337—431no—
855#3337—431no—
856#3166—431no—
857#3099—431no—
858#3098—431no—
859#3096—431no—
860#3096—431no—
861#3076—431no—
862C2×#478—431no—
863#3062—431no—
864#3062—431no—
865C4×AGL(1,ℤ/8)—431no—
866#2935—431no—
867#2913—431no—
868#2912—431no—
869C2×C43—41no—
870C2×C43—41no—
871C2×C43—81no—
872C2×C43—81no—
873C2×C43C2×#54711yescharacteristic
874C2×C43#358411yescharacteristic
875C2×C43#358511yescharacteristic
876D43—22no—
877D43—41no—
878D43—41no—
879D43—81no—
880C2×AGL(1,ℤ/8)—431no—
881C2×#131—431no—
882C2×#131—431no—
883#559—861no—
884#559—861no—
885#556—861no—
886#555—431no—
887#555—431no—
888#553—431no—
889#553—431no—
890#553—431no—
891#553—431no—
892#553—431no—
893#553—431no—
894#553—861no—
895#553—861no—
896#553—861no—
897#553—861no—
898#553C2×D4311yescharacteristic
899#553C2×D4311yescharacteristic, complemented
900#552—431no—
901#552—431no—
902#552—431no—
903#552—431no—
904#550—861no—
905#547—431no—
906#547—431no—
907#541—861no—
908#540—861no—
909#538—861no—
910#538—861no—
911#537—431no—
912#537—431no—
913#535—431no—
914#535—431no—
915#533—431no—
916#532—431no—
917#529—861no—
918#529—861no—
919C2×#125—431no—
920#525—861no—
921#525—861no—
922#520—431no—
923#520—431no—
924#520—431no—
925#520—431no—
926C4×#41—431no—
927C2×C4×D4—431no—
928#501—431no—
929#501—431no—
930#501—431no—
931#501—431no—
932#499—431no—
933#499—431no—
934#499—431no—
935#499C2×D4311yescharacteristic, complemented
936#485—431no—
937#485—431no—
938#485—431no—
939#485—431no—
940#484—431no—
941#484—431no—
942#483—431no—
943#483—431no—
944#482—431no—
945#482—431no—
946#482—431no—
947#482—431no—
948#482—431no—
949#482—431no—
950#482—431no—
951#482—431no—
952#482—431no—
953#482—431no—
954#482C2×D4311yescharacteristic
955#482C2×D4311yescharacteristic, complemented
956#481—431no—
957#481—431no—
958#481—431no—
959#481—431no—
960#481C2×D4311yescharacteristic
961#481C2×D4311yescharacteristic, complemented
962#480—431no—
963#480—431no—
964#480—431no—
965#480—431no—
966#480—431no—
967#480—431no—
968#479—431no—
969#479—431no—
970#478—431no—
971#478—431no—
972#478—431no—
973#478—431no—
974#478—431no—
975#478—431no—
976#478—431no—
977#478—431no—
978#478C2×D4311yescharacteristic
979#478C2×D4311yescharacteristic, complemented
980#477—431no—
981#476—431no—
982#475—431no—
983#474—431no—
984#469—431no—
985#469—431no—
986#469—431no—
987#469—431no—
988#468—431no—
989#468—431no—
990#468—431no—
991#468—431no—
992#466—431no—
993#466—431no—
994#466C2×D4311yescharacteristic
995#466C2×D4311yescharacteristic
996#465—431no—
997#465—431no—
998#465—431no—
999#465—431no—
1000#442—431no—
1001#442—431no—
1002#440—431no—
1003#440—431no—
1004C4×SD16—431no—
1005C4×SD16—431no—
1006C4×D8—431no—
1007C4×D8C2×D4311yescharacteristic
1008#436—431no—
1009#436—431no—
1010#435—431no—
1011#435—431no—
1012#435—431no—
1013#435—431no—
1014C8×D4—431no—
1015C8×D4C2×D4311yescharacteristic, complemented
1016#428—431no—
1017#428—431no—
1018#428—431no—
1019#428—431no—
1020#428—431no—
1021#428—431no—
1022#428—431no—
1023#428—431no—
1024#428—431no—
1025#428—431no—
1026#428—431no—
1027#428—431no—
1028#428—431no—
1029#427—431no—
1030#427—431no—
1031#427—431no—
1032#427—431no—
1033#427—431no—
1034#427C2×D4311yescharacteristic, complemented
1035C2×#107—431no—
1036C2×#107—431no—
1037C2×#107C2×D4311yescharacteristic, complemented
1038C2×#106—431no—
1039C2×#106—431no—
1040C2×#106—431no—
1041C2×C4⋊C8—431no—
1042#418—431no—
1043#417—431no—
1044#416—431no—
1045#416—431no—
1046C2×#102—431no—
1047C2×#102—431no—
1048#408—431no—
1049#408—431no—
1050C4×M16—431no—
1051C43#6128311yescharacteristic, complemented, Sylow
1052C2×#41—431no—
1053C2×#41—431no—
1054C2×#41—431no—
1055C2×#41—861no—
1056C2×#41—861no—
1057C22×D4—431no—
1058C23×C4—861no—
1059AGL(1,ℤ/8)—864no—
1060C2×SD16—431no—
1061C2×SD16—431no—
1062C2×D8—431no—
1063C2×D8C22×D4311yescharacteristic
1064#131—864no—
1065#131—864no—
1066C2×M16—431no—
1067C2×M16—431no—
1068C2×M16—431no—
1069C2×M16—431no—
1070C2×M16—431no—
1071C2×M16—431no—
1072C22×C8—431no—
1073C22×C8—431no—
1074C22×C8—431no—
1075C22×C8—431no—
1076C22×C8C22×D4311yescharacteristic
1077C22×C8C22×D4311yescharacteristic
1078C4⋊Q8—431no—
1079C4⋊Q8—431no—
1080C4⋊Q8—431no—
1081#127—431no—
1082#127—861no—
1083#127—861no—
1084#126—21no—
1085#126—21no—
1086#126—861no—
1087#126—861no—
1088#126—861no—
1089#126—861no—
1090#126—861no—
1091#126—861no—
1092#126—861no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#125—431no—
1097#125—431no—
1098#125—431no—
1099#125—431no—
1100#125—861no—
1101#125—861no—
1102#125—861no—
1103#125—861no—
1104#125—861no—
1105#125—861no—
1106#125C22×D4311yescharacteristic
1107#125C22×D4311yescharacteristic
1108#124—431no—
1109#124—431no—
1110#124—861no—
1111#124—861no—
1112#124—861no—
1113#124—861no—
1114#124—861no—
1115#124—861no—
1116#123—21no—
1117#123—21no—
1118#123—861no—
1119#123—861no—
1120#123—861no—
1121#123—861no—
1122#123—861no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128#123—861no—
1129#123—861no—
1130#123—861no—
1131#123—861no—
1132C22⋊Q8—431no—
1133C22⋊Q8—431no—
1134C22⋊Q8—431no—
1135C22⋊Q8—431no—
1136C22⋊Q8—861no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142#121—21no—
1143#121—21no—
1144#121—431no—
1145#121—431no—
1146#121—431no—
1147#121—431no—
1148#121—431no—
1149#121—431no—
1150#121—431no—
1151#121—431no—
1152#121—431no—
1153#121—431no—
1154#121—431no—
1155#121—431no—
1156#121—861no—
1157#121—861no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#121—861no—
1165#121—861no—
1166#121—861no—
1167#121—861no—
1168#121—861no—
1169#121—861no—
1170#121C22×D4311yescharacteristic
1171#121C22×D4311yescharacteristic
1172#121C22×D4311yescharacteristic
1173#121C22×D4311yescharacteristic
1174#120—861no—
1175#120—861no—
1176#120—861no—
1177#120—861no—
1178C4×Q8—431no—
1179C4×Q8—431no—
1180C4×Q8—861no—
1181C4×Q8—861no—
1182C4×Q8—861no—
1183C4×Q8—861no—
1184C4×Q8—861no—
1185C4×Q8—861no—
1186C4×D4—21no—
1187C4×D4—21no—
1188C4×D4—431no—
1189C4×D4—431no—
1190C4×D4—431no—
1191C4×D4—431no—
1192C4×D4—431no—
1193C4×D4—431no—
1194C4×D4—431no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4—861no—
1205C4×D4—861no—
1206C4×D4—861no—
1207C4×D4—861no—
1208C4×D4—861no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
1217C4×D4C22×D4311yescharacteristic
1218C4×D4C22×D4311yescharacteristic
1219C4×D4C22×D4311yescharacteristic
1220#117—431no—
1221#117—431no—
1222#117—431no—
1223#117—431no—
1224#117—431no—
1225#117—431no—
1226#117—431no—
1227#117—431no—
1228#117—431no—
1229#117—861no—
1230#117—861no—
1231#117—861no—
1232#117—861no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117C22×D4311yescharacteristic
1237#117C22×D4311yescharacteristic
1238C2×C4⋊C4—431no—
1239C2×C4⋊C4—431no—
1240C2×C4⋊C4—431no—
1241C2×C4⋊C4—431no—
1242C2×C4⋊C4—431no—
1243C2×C4⋊C4—431no—
1244C2×C4⋊C4—431no—
1245C2×C4⋊C4—431no—
1246C2×C4⋊C4—431no—
1247C2×C4⋊C4—861no—
1248C2×C4⋊C4—861no—
1249C2×C4⋊C4C22×D4311yescharacteristic
1250C2×C4⋊C4C22×D4311yescharacteristic
1251C2×C22⋊C4—861no—
1252C2×C42—431no—
1253C2×C42—861no—
1254#107—431no—
1255#107—431no—
1256#107—431no—
1257#107—431no—
1258#107—431no—
1259#107—431no—
1260#107—431no—
1261#107—431no—
1262#107—431no—
1263#107—431no—
1264#107—431no—
1265#107—431no—
1266#107—431no—
1267#107C22×D4311yescharacteristic
1268#107C22×D4311yescharacteristic
1269#107C22×D4311yescharacteristic
1270#107C22×D4311yescharacteristic
1271#107C22×D4311yescharacteristic
1272#106—431no—
1273#106—431no—
1274#106—431no—
1275#106—431no—
1276#106—431no—
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106—431no—
1282#106—431no—
1283#106—431no—
1284#106—431no—
1285#106—431no—
1286#106C22×D4311yescharacteristic
1287#106C22×D4311yescharacteristic
1288#106C22×D4311yescharacteristic
1289#106C22×D4311yescharacteristic
1290C4⋊C8—431no—
1291C4⋊C8—431no—
1292C4⋊C8—431no—
1293C4⋊C8C22×D4311yescharacteristic
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
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
1318C22⋊C8—431no—
1319C22⋊C8—431no—
1320C22⋊C8—431no—
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8C22×D4311yescharacteristic
1325C22⋊C8C22×D4311yescharacteristic
1326#97—431no—
1327#97—431no—
1328C4×C8—431no—
1329C4×C8C22×D4311yescharacteristic
1330C24—861no—
1331#41—862no—
1332#41—862no—
1333#41—862no—
1334#41—862no—
1335#41—862no—
1336#41—862no—
1337#41—3442no—
1338#41—3442no—
1339C2×Q8—431no—
1340C2×Q8—431no—
1341C2×Q8—431no—
1342C2×Q8—861no—
1343C2×Q8—861no—
1344C2×D4—21no—
1345C2×D4—21no—
1346C2×D4—21no—
1347C2×D4—21no—
1348C2×D4—431no—
1349C2×D4—431no—
1350C2×D4—431no—
1351C2×D4—431no—
1352C2×D4—431no—
1353C2×D4—431no—
1354C2×D4—431no—
1355C2×D4—431no—
1356C2×D4—431no—
1357C2×D4—431no—
1358C2×D4—861no—
1359C2×D4—861no—
1360C2×D4—862no—
1361C2×D4—862no—
1362C2×D4—861no—
1363C2×D4—861no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4D4×D4311yescharacteristic
1371C2×D4C23×D4311yescharacteristic
1372C2×D4C23×D4311yescharacteristic
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—431no—
1378C22×C4—431no—
1379C22×C4—431no—
1380C22×C4—431no—
1381C22×C4—431no—
1382C22×C4—861no—
1383C22×C4—861no—
1384C22×C4—861no—
1385C22×C4—861no—
1386C22×C4—861no—
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—3442no—
1397C22×C4C23×D4311yescharacteristic
1398C22×C4C23×D4311yescharacteristic
1399SD16—862no—
1400SD16—862no—
1401D8—22no—
1402D8—862no—
1403M16—434no—
1404M16—862no—
1405M16—862no—
1406M16—862no—
1407M16—862no—
1408M16—862no—
1409C2×C8—22no—
1410C2×C8—22no—
1411C2×C8—431no—
1412C2×C8—431no—
1413C2×C8—431no—
1414C2×C8—431no—
1415C2×C8—862no—
1416C2×C8—862no—
1417C2×C8—862no—
1418C2×C8—862no—
1419C2×C8C23×D4311yescharacteristic
1420C2×C8C23×D4311yescharacteristic
1421C2×C8C23×D4311yescharacteristic
1422C2×C8C23×D4311yescharacteristic
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—431no—
1430C4⋊C4—431no—
1431C4⋊C4—431no—
1432C4⋊C4—431no—
1433C4⋊C4—431no—
1434C4⋊C4—431no—
1435C4⋊C4—431no—
1436C4⋊C4—431no—
1437C4⋊C4—431no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4D4×D4311yescharacteristic
1464C4⋊C4C23×D4311yescharacteristic
1465C4⋊C4C23×D4311yescharacteristic
1466C4⋊C4C23×D4311yescharacteristic
1467C4⋊C4C23×D4311yescharacteristic
1468C4⋊C4C23×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—431no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—431no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1510C22⋊C4D4×D4311yescharacteristic
1511C42—21no—
1512C42—21no—
1513C42—431no—
1514C42—431no—
1515C42—431no—
1516C42—861no—
1517C42—861no—
1518C42—861no—
1519C42—861no—
1520C42—861no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42C23×D4311yescharacteristic
1528C23—21no—
1529C23—21no—
1530C23—431no—
1531C23—431no—
1532C23—431no—
1533C23—861no—
1534C23—3441no—
1535C23—3441no—
1536C23—1722no—
1537C23C2×D4×D4311yescharacteristic
1538C23C2×D4×D4311yescharacteristic
1539Q8—862no—
1540Q8—862no—
1541Q8—861no—
1542Q8—861no—
1543Q8—3441no—
1544Q8—1722no—
1545D4—21no—
1546D4—21no—
1547D4—21no—
1548D4—21no—
1549D4—41no—
1550D4—81no—
1551D4—81no—
1552D4—81no—
1553D4—81no—
1554D4—862no—
1555D4—862no—
1556D4—862no—
1557D4—862no—
1558D4—862no—
1559D4—862no—
1560D4—861no—
1561D4—861no—
1562D4—3441no—
1563D4—3441no—
1564D4—3441no—
1565D4—3441no—
1566D4—3441no—
1567D4—3441no—
1568D4—3441no—
1569D4—3441no—
1570D4—1721no—
1571D4—1722no—
1572D4—1721no—
1573D4—1721no—
1574D4—1722no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—81no—
1586C2×C4—81no—
1587C2×C4—81no—
1588C2×C4—81no—
1589C2×C4—431no—
1590C2×C4—432no—
1591C2×C4—432no—
1592C2×C4—431no—
1593C2×C4—431no—
1594C2×C4—431no—
1595C2×C4—431no—
1596C2×C4—861no—
1597C2×C4—861no—
1598C2×C4—861no—
1599C2×C4—861no—
1600C2×C4—861no—
1601C2×C4—861no—
1602C2×C4—861no—
1603C2×C4—861no—
1604C2×C4—861no—
1605C2×C4—861no—
1606C2×C4—861no—
1607C2×C4—3441no—
1608C2×C4—3441no—
1609C2×C4—3441no—
1610C2×C4—3441no—
1611C2×C4—3441no—
1612C2×C4—3441no—
1613C2×C4—3441no—
1614C2×C4—3441no—
1615C2×C4—3441no—
1616C2×C4—3441no—
1617C2×C4—3441no—
1618C2×C4—1721no—
1619C2×C4—1721no—
1620C2×C4—1722no—
1621C2×C4—1722no—
1622C2×C4—1722no—
1623C2×C4C2×D4×D4311yescharacteristic
1624C2×C4C2×D4×D4311yescharacteristic
1625C2×C4C2×D4×D4311yescharacteristic
1626C2×C4C2×D4×D4311yescharacteristic
1627C2×C4C24×D4311yescharacteristic
1628C8—21no—
1629C8—21no—
1630C8—21no—
1631C8—432no—
1632C8—861no—
1633C8—861no—
1634C8—861no—
1635C8#41×D4312yes—
1636C22—21no—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—432no—
1649C22—861no—
1650C22—861no—
1651C22—861no—
1652C22—861no—
1653C22—861no—
1654C22—861no—
1655C22—861no—
1656C22—861no—
1657C22—3444no—
1658C22—1721no—
1659C22—1721no—
1660C22—1721no—
1661C22C22×D4×D4311yescharacteristic
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—432no—
1673C4—861no—
1674C4—861no—
1675C4—861no—
1676C4—861no—
1677C4—1721no—
1678C4—1721no—
1679C4—1721no—
1680C4—1721no—
1681C4—1721no—
1682C4—1721no—
1683C4—1721no—
1684C4C2×#41×D4311yescharacteristic
1685C42−1+4×D4311yescharacteristic
1686C2—41no—
1687C2—41no—
1688C2—81no—
1689C2—81no—
1690C2—862no—
1691C2—3441no—
1692C2—1721no—
1693C2—1721no—
1694C2#547×D4311yescharacteristic
1695C2#1914936411yescharacteristic
1696C2#1914937011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3339C2
socleC22×C43C23×D4
hypercenter#3339D43
hypocenterC43#61283
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3339

Complements

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

NH ≅ G/Ntype
1. #19148513C2semidirect
2. #19148441C2semidirect
3. #19147202C2semidirect
4. #19147195C2semidirect
5. #19147154C2semidirect
6. #19147149C2semidirect
7. #19147113C2semidirect
8. #19147106C2semidirect
9. #19147101C2semidirect
10. #19147088C2semidirect
11. #19147071C2semidirect
12. #19147058C2semidirect
13. #19147031C2semidirect
14. #19147028C2semidirect
15. #19146994C2semidirect
16. #19146981C2semidirect
17. #19146976C2semidirect
18. #19145143C2semidirect
19. #19144585C2semidirect
20. #19144570C2semidirect
21. #19144552C2semidirect
22. #19144550C2semidirect
23. #19144380C2semidirect
24. #478×D43C2semidirect
25. #19144274C2semidirect
26. #19144274C2semidirect
27. C4×#13063349C2semidirect
28. #19143334C2semidirect
29. #19143191C2semidirect
30. #19143187C2semidirect
31. C43×#3339C2semidirect
41. #14583601C22semidirect
45. #14583599C22semidirect
47. #14583596C22semidirect
50. #14583589C22semidirect
51. #14583588C22semidirect
52. #14583587C22semidirect
53. #14583584C22semidirect
78. #14583307C22semidirect
79. #14583307C22semidirect
80. #14583306C22semidirect
81. #14583306C22semidirect
82. #14583301C22semidirect
83. #14583298C22semidirect
84. #14583298C22semidirect
85. #14583243C22semidirect
86. #14583243C22semidirect
87. #14583241C22semidirect
88. #14583240C22semidirect
89. #14583236C22semidirect
90. #14583235C22semidirect
91. #14583231C22semidirect
92. #14583229C22semidirect
99. #14583221C22semidirect
100. #14583221C22semidirect
102. #14583220C22semidirect
105. #14583216C22semidirect
111. #14583211C22semidirect
112. #14583210C22semidirect
113. #14583207C22semidirect
114. #14583203C22semidirect
119. #14583199C22semidirect
123. #14583193C22semidirect
124. #14583187C22semidirect
125. #14583183C22semidirect
126. #14583177C22semidirect
148. #14582978C22semidirect
149. #14582977C22semidirect
150. #14582973C22semidirect
151. #14582973C22semidirect
152. #14582970C22semidirect
153. #14582970C22semidirect
154. #14582964C22semidirect
155. #14582942C22semidirect
156. #14582942C22semidirect
160. #14582940C22semidirect
161. #14582940C22semidirect
162. #14582940C22semidirect
163. #14582940C22semidirect
164. #14582939C22semidirect
165. #14582939C22semidirect
168. #14582937C22semidirect
170. #14582936C22semidirect
172. #14582934C22semidirect
174. #107×D43C22semidirect
175. C2×#13063257C22semidirect
177. #106×D43C22semidirect
189. C43×#553C22semidirect
190. C43×#499C22semidirect
192. C43×#482C22semidirect
194. C43×#481C22semidirect
196. C43×#478C22semidirect
200. C8×D4×C43C22semidirect
201. C43×#427C22semidirect
202. C2×#107×C43C22semidirect
674. #10621872#41semidirect
853. #3339D43semidirect
899. #553C2×D43semidirect
935. #499C2×D43semidirect
955. #482C2×D43semidirect
961. #481C2×D43semidirect
979. #478C2×D43semidirect
1015. C8×D4C2×D43semidirect
1034. #427C2×D43semidirect
1037. C2×#107C2×D43semidirect
1051. C43#61283semidirect

Maximal subgroups

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

subgroupindex
#191485132
#191484412
#191472022
#191471952
#191471542
#191471492
#191471132
#191471062
#191471012
#191470882
#191470712
#191470582
#191470312
#191470282
#191469942
#191469812
#191469762
#191451432
#191445852
#191445702
#191445522
#191445502
#191443802
#478×D432
#191442742
C4×#130633492
#191433342
#191431912
#191431872
C43×#33392
#6128343