Finite Group Databasebeta

← #25990374

Subgroups — #25990374

Order 11008.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148962C211yesmaximal, characteristic, complemented
2#19148701C211yesmaximal, characteristic, complemented
3#19147664C211yesmaximal, characteristic, complemented
4#19147635C211yesmaximal, characteristic, complemented
5#19147443C211yesmaximal, characteristic, complemented
6#19147327C211yesmaximal, characteristic, complemented
7#19146749C211yesmaximal, characteristic, complemented
8#19146732C211yesmaximal, characteristic, complemented
9#19146715C211yesmaximal, characteristic, complemented
10#19146574C211yesmaximal, characteristic, complemented
11#19146541C211yesmaximal, characteristic, complemented
12#19146355C211yesmaximal, characteristic, complemented
13#19146309C211yesmaximal, characteristic, complemented
14#19146184C211yesmaximal, characteristic, complemented
15#19146147C211yesmaximal, characteristic, complemented
16#19146131C211yesmaximal, characteristic, complemented
17#19146088C211yesmaximal, characteristic, complemented
18#19146057C211yesmaximal, characteristic, complemented
19#19146010C211yesmaximal, characteristic, complemented
20#19145916C211yesmaximal, characteristic, complemented
21#19145693C211yesmaximal, characteristic, complemented
22#19145648C211yesmaximal, characteristic, complemented
23#19145636C211yesmaximal, characteristic, complemented
24#19144867C211yesmaximal, characteristic, complemented
25#19144820C211yesmaximal, characteristic, complemented
26#19144741C211yesmaximal, characteristic, complemented
27#19144139C211yesmaximal, characteristic, complemented
28#19144114C211yesmaximal, characteristic, complemented
29#19144048C211yesmaximal, characteristic, complemented
30#19143728C211yesmaximal, characteristic, complemented
31C43×#3296C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic, complemented
33C2×#13063351C2211yescharacteristic
34C2×#13063347C2211yescharacteristic, complemented
35C2×#13063347C2211yescharacteristic, complemented
36C2×#13063345C2211yescharacteristic, complemented
37C2×SD16×D43C2211yescharacteristic
38#14583638—21no—
39#14583637—21no—
40#14583634C2211yescharacteristic, complemented
41#14583633—21no—
42#14583626C2211yescharacteristic, complemented
43#14583618C2211yescharacteristic
44#14583612—21no—
45#14583612C2211yescharacteristic, complemented
46#14583600—21no—
47#14583597C2211yescharacteristic
48#14583594—21no—
49#14583581—21no—
50#14583570C2211yescharacteristic
51#14583570C2211yescharacteristic
52#14583570C2211yescharacteristic, complemented
53#14583568C2211yescharacteristic
54#14583559C2211yescharacteristic
55#14583559C2211yescharacteristic, complemented
56#14583551C2211yescharacteristic
57#14583546C2211yescharacteristic
58#14583539—21no—
59D4×C22⋊D43C2211yescharacteristic
60#14583522C2211yescharacteristic
61#14583522C2211yescharacteristic, complemented
62#14583515—21no—
63#14583514C2211yescharacteristic
64#14583505C2211yescharacteristic, complemented
65#14583501—21no—
66#14583487—21no—
67#14583485—21no—
68#14583478—21no—
69#14583467C2211yescharacteristic
70#14583466C2211yescharacteristic
71#14583464—21no—
72#14583445C2211yescharacteristic
73#14583444C2211yescharacteristic
74#14583435C2211yescharacteristic, complemented
75#14583434—21no—
76#14583429C2211yescharacteristic
77#14583427—21no—
78#14583380C2211yescharacteristic, complemented
79#14583375C2211yescharacteristic, complemented
80#14583367C2211yescharacteristic, complemented
81#14583292C2211yescharacteristic, complemented
82#14583289C2211yescharacteristic
83#14583285C2211yescharacteristic
84#14583285C2211yescharacteristic, complemented
85#14583280C2211yescharacteristic
86#14583276C2211yescharacteristic, complemented
87#14583266C2211yescharacteristic, complemented
88#14583265C2211yescharacteristic, complemented
89#14583262C2211yescharacteristic
90#14583257C2211yescharacteristic
91#14583244C2211yescharacteristic, complemented
92#14583243C2211yescharacteristic, complemented
93#14583223C2211yescharacteristic, complemented
94#14583221C2211yescharacteristic
95#14583217C2211yescharacteristic
96#14583203C2211yescharacteristic, complemented
97#14583198C2211yescharacteristic, complemented
98#14583197C2211yescharacteristic
99#14583192C2211yescharacteristic, complemented
100#14583192C2211yescharacteristic, complemented
101#14583188C2211yescharacteristic, complemented
102#14583183C2211yescharacteristic, complemented
103#14583178C2211yescharacteristic, complemented
104#14583178C2211yescharacteristic, complemented
105#14583151C2211yescharacteristic
106#14583147C2211yescharacteristic
107#14583147C2211yescharacteristic, complemented
108#14583146C2211yescharacteristic, complemented
109#14583135C2211yescharacteristic
110#14583135C2211yescharacteristic, complemented
111#14583134C2211yescharacteristic
112#14583133C2211yescharacteristic
113#14583130C2211yescharacteristic, complemented
114#14583129C2211yescharacteristic, complemented
115#14583124C2211yescharacteristic, complemented
116#14583123C2211yescharacteristic, complemented
117#14583123C2211yescharacteristic, complemented
118#14583120C2211yescharacteristic
119#14583120C2211yescharacteristic, complemented
120#14583119C2211yescharacteristic, complemented
121#14583118C2211yescharacteristic
122#14583117C2211yescharacteristic, complemented
123#14583117C2211yescharacteristic, complemented
124#14583117C2211yescharacteristic, complemented
125#14583117C2211yescharacteristic, complemented
126#14583116C2211yescharacteristic
127#14583113C2211yescharacteristic
128#14583113C2211yescharacteristic, complemented
129#14583113C2211yescharacteristic, complemented
130#14583108C2211yescharacteristic, complemented
131#14583103C2211yescharacteristic, complemented
132#14583100C2211yescharacteristic, complemented
133#14583100C2211yescharacteristic, complemented
134#14583099C2211yescharacteristic, complemented
135#14583098C2211yescharacteristic
136#14583098C2211yescharacteristic
137#14583098C2211yescharacteristic, complemented
138#14583097C2211yescharacteristic
139#14583094C2211yescharacteristic, complemented
140#14583093C2211yescharacteristic
141#14583093C2211yescharacteristic
142#14583093C2211yescharacteristic
143#14583093C2211yescharacteristic, complemented
144#14583059C2211yescharacteristic, complemented
145#14583059C2211yescharacteristic, complemented
146#14583059C2211yescharacteristic, complemented
147#14583056C2211yescharacteristic, complemented
148#14583047C2211yescharacteristic, complemented
149#14583047C2211yescharacteristic, complemented
150#14583046C2211yescharacteristic
151#14583046C2211yescharacteristic, complemented
152#14583046C2211yescharacteristic, complemented
153#14583046C2211yescharacteristic, complemented
154#14583044C2211yescharacteristic, complemented
155#14583042C2211yescharacteristic
156#14583036C2211yescharacteristic
157#14583034C2211yescharacteristic
158#14583034C2211yescharacteristic
159#14583033C2211yescharacteristic
160#14583029C2211yescharacteristic, complemented
161#14583028C2211yescharacteristic, complemented
162#14583010C2211yescharacteristic, complemented
163#14583010C2211yescharacteristic, complemented
164#14583008C2211yescharacteristic
165#14583004C2211yescharacteristic, complemented
166#14583003C2211yescharacteristic, complemented
167#14582999C2211yescharacteristic, complemented
168#14582998C2211yescharacteristic, complemented
169#14582996C2211yescharacteristic
170C4×Dic172C2211yescharacteristic, complemented
171#14582986C2211yescharacteristic, complemented
172#14582984C2211yescharacteristic, complemented
173#14582973C2211yescharacteristic
174#14582971C2211yescharacteristic, complemented
175#14582970C2211yescharacteristic
176#14582967C2211yescharacteristic, complemented
177C8×C22⋊D43C2211yescharacteristic, complemented
178#14582958C2211yescharacteristic, complemented
179#14582957C2211yescharacteristic, complemented
180#14582953C2211yescharacteristic, complemented
181#14582925C2211yescharacteristic, complemented
182#14582924C2211yescharacteristic, complemented
183C2×Dic43⋊C8C2211yescharacteristic, complemented
184#14582902C2211yescharacteristic
185#14582898C2211yescharacteristic, complemented
186#14582894C2211yescharacteristic, complemented
187#14582893C2211yescharacteristic, complemented
188C43×#552C2211yescharacteristic, complemented
189C43×#546C2211yescharacteristic
190C43×#488C2211yescharacteristic
191C43×#483C2211yescharacteristic, complemented
192C43×#482C2211yescharacteristic
193C43×#478C2211yescharacteristic, complemented
194C43×#467C2211yescharacteristic, complemented
195C43×#465C2211yescharacteristic
196C43×#464C2211yescharacteristic
197C43×#452C2211yescharacteristic, complemented
198C43×#450C2211yescharacteristic
199C4×SD16×C43C2211yescharacteristic, complemented
200C8×D4×C43C2211yescharacteristic, complemented
201C43×#416C2211yescharacteristic, complemented
202C2×#102×C43C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×#10621898C2311yescharacteristic
207C2×#10621898C2311yescharacteristic
208C2×#10621898C2311yescharacteristic
209C2×#10621900—21no—
210C2×Q8×D43C2311yescharacteristic
211C22×C22⋊D43—21no—
212C2×D4×D43C2311yescharacteristic
213#13063357—42no—
214#13063351—42no—
215#13063347—42no—
216#13063347—42no—
217#13063345—42no—
218C2×Dic172C2311yescharacteristic
219C2×#10621885C2311yescharacteristic
220C2×#10621885C2311yescharacteristic
221C2×#10621873C2311yescharacteristic
222C2×#10621873C2311yescharacteristic
223C2×#10621873C2311yescharacteristic
224C2×#10621873C2311yescharacteristic
225C2×#10621883C2311yescharacteristic
226C2×#10621883C2311yescharacteristic
227C2×#10621884C2311yescharacteristic
228C2×#10621884C2311yescharacteristic
229C2×#10621884C2311yescharacteristic
230C2×#10621884C2311yescharacteristic
231SD16×D43—42no—
232C2×D344C2311yescharacteristic
233C2×D344C2311yescharacteristic
234C2×D344C2311yescharacteristic
235C2×D344C2311yescharacteristic
236C2×#10621882C2311yescharacteristic
237C2×#10621882C2311yescharacteristic
238C2×#10621882C2311yescharacteristic
239C2×#10621882C2311yescharacteristic
240C2×#10621877C2311yescharacteristic
241C2×#10621872C2311yescharacteristic
242C22×C43⋊C8C2311yescharacteristic
243C2×C8×D43C2311yescharacteristic
244#13063324—21no—
245#13063324C2311yescharacteristic
246#13063324C2311yescharacteristic
247#13063323C2311yescharacteristic
248#13063322C2311yescharacteristic
249#13063322C2311yescharacteristic
250#13063321—21no—
251#13063321—21no—
252#13063321—21no—
253#13063321C2311yescharacteristic
254#13063321C2311yescharacteristic
255#13063321C2311yescharacteristic
256#13063320—21no—
257#13063320—21no—
258#13063320—21no—
259#13063320—21no—
260#13063320D411yescharacteristic
261#13063318—21no—
262#13063318—21no—
263#13063318—21no—
264#13063318D411yescharacteristic
265#13063316C2311yescharacteristic
266#13063315—21no—
267#13063315—21no—
268#13063315D411yescharacteristic
269#13063314C2311yescharacteristic
270#13063314C2311yescharacteristic
271#13063314C2311yescharacteristic
272#13063313—21no—
273#13063313—21no—
274#13063312C2311yescharacteristic
275#13063312C2311yescharacteristic
276#13063311—21no—
277#13063311—21no—
278#13063311—21no—
279#13063311—21no—
280#13063311—21no—
281#13063311—21no—
282#13063311—21no—
283#13063311D411yescharacteristic
284#13063310—21no—
285#13063310—21no—
286#13063310—21no—
287#13063310—21no—
288#13063310—21no—
289#13063310—21no—
290#13063309—21no—
291#13063309D411yescharacteristic
292#13063308—21no—
293#13063307—21no—
294#13063307—21no—
295#13063307—21no—
296#13063307—21no—
297#13063306D411yescharacteristic
298#13063305—21no—
299#13063305—21no—
300#13063305C2311yescharacteristic
301#13063304—21no—
302#13063303—21no—
303#13063303—21no—
304#13063302—21no—
305#13063302D411yescharacteristic
306#13063300—21no—
307#13063300—21no—
308#13063300C2311yescharacteristic
309#13063300C2311yescharacteristic
310#13063299—21no—
311#13063299—21no—
312#13063299—21no—
313#13063299C2311yescharacteristic
314#13063299C2311yescharacteristic
315#13063299C2311yescharacteristic
316#13063299C2311yescharacteristic
317#13063298—21no—
318#13063298—21no—
319#13063298—21no—
320#13063298—21no—
321#13063298—21no—
322#13063298—21no—
323#13063298—21no—
324#13063298—21no—
325#13063298—21no—
326#13063298—21no—
327#13063298—21no—
328#13063298—21no—
329#13063297—21no—
330#13063297—21no—
331#13063297—21no—
332#13063297—21no—
333#13063297D411yescharacteristic
334#13063296—21no—
335#13063296—21no—
336#13063296—21no—
337#13063296—21no—
338#13063296C2311yescharacteristic
339#13063295—21no—
340#13063295—21no—
341#13063294—21no—
342#13063294—21no—
343#13063294—21no—
344#13063293—21no—
345#13063293—21no—
346Q8×Dic43C2311yescharacteristic
347Q8×Dic43C2311yescharacteristic
348C4×Dic86—21no—
349C4×Dic86C2311yescharacteristic
350C4×Dic86C2311yescharacteristic
351C4×Dic86C2311yescharacteristic
352#13063290—21no—
353#13063290—21no—
354#13063290C2311yescharacteristic
355#13063290C2311yescharacteristic
356#13063290C2311yescharacteristic
357C4×D172—21no—
358D4×Dic43C2311yescharacteristic
359#13063287—21no—
360#13063287—21no—
361#13063287—21no—
362#13063287—21no—
363#13063287C2311yescharacteristic
364#13063287C2311yescharacteristic
365#13063287C2311yescharacteristic
366#13063287C2311yescharacteristic
367#13063287C2311yescharacteristic
368#13063287C2311yescharacteristic
369C4×C22⋊D43—21no—
370C4×C22⋊D43—21no—
371C4×C22⋊D43—21no—
372C4×C22⋊D43—21no—
373C4×C22⋊D43—21no—
374C4×C22⋊D43—21no—
375C4×C22⋊D43C2311yescharacteristic
376C4×C22⋊D43C2311yescharacteristic
377(C22⋊D43)⋊C4—21no—
378(C22⋊D43)⋊C4—21no—
379(C22⋊D43)⋊C4—21no—
380(C22⋊D43)⋊C4—21no—
381#13063284C2311yescharacteristic
382#13063283—21no—
383#13063283—21no—
384#13063283—21no—
385#13063283C2311yescharacteristic
386#13063282—21no—
387#13063282—21no—
388#13063282—21no—
389#13063282C2311yescharacteristic
390#13063281—21no—
391C4⋊C4×D43—21no—
392C4⋊C4×D43—21no—
393C22⋊C4×D43—21no—
394C2×C4×Dic43C2311yescharacteristic
395C42×D43—21no—
396#13063259C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401C4⋊(C43⋊C8)C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405Dic43⋊C8C2311yescharacteristic
406Dic43⋊C8C2311yescharacteristic
407Dic43⋊C8C2311yescharacteristic
408Dic43⋊C8C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429#13063245C2311yescharacteristic
430#13063245C2311yescharacteristic
431#13063245C2311yescharacteristic
432C22⋊(C43⋊C8)C2311yescharacteristic
433C22⋊(C43⋊C8)C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435(C2×D43)⋊C8C2311yescharacteristic
436#13063236C2311yescharacteristic
437#13063235C2311yescharacteristic
438#13063235C2311yescharacteristic
439#13063235C2311yescharacteristic
440C8×Dic43C2311yescharacteristic
441C2×#41×C43C2311yescharacteristic
442C22×D4×C43C2311yescharacteristic
443C2×Q16×C43C2311yescharacteristic
444C2×SD16×C43C2311yescharacteristic
445C2×SD16×C43C2311yescharacteristic
446C22×C8×C43C2311yescharacteristic
447C22×C8×C43C2311yescharacteristic
448#126×C43—21no—
449#125×C43—21no—
450#125×C43C2311yescharacteristic
451#124×C43C2311yescharacteristic
452#123×C43—21no—
453#123×C43—21no—
454C22⋊Q8×C43C2311yescharacteristic
455C22⋊Q8×C43C2311yescharacteristic
456C22⋊Q8×C43C2311yescharacteristic
457#121×C43—21no—
458#121×C43C2311yescharacteristic
459#120×C43—21no—
460C4×Q8×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463#117×C43—21no—
464#117×C43C2311yescharacteristic
465C2×C4⋊C4×C43C2311yescharacteristic
466C2×C22⋊C4×C43—21no—
467#107×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470C4⋊C8×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481C22⋊C8×C43C2311yescharacteristic
482C22⋊C8×C43C2311yescharacteristic
483C4×C8×C43C2311yescharacteristic
484C24×C43—21no—
485C23×D43—21no—
486#41×C43—41no—
487#41×C43—41no—
488C2×Q8×C43C2411yescharacteristic
489C2×Q8×C43C2411yescharacteristic
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—41no—
494C2×D4×C43—41no—
495C2×D4×C43C2×D411yescharacteristic
496C2×D4×C43C2411yescharacteristic
497C2×D4×C43C2411yescharacteristic
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43—21no—
501C22×C4×C43C2411yescharacteristic
502C22×C4×C43C2411yescharacteristic
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—82no—
520C2×C22⋊D43C2×D411yescharacteristic
521C2×C22⋊D43C2×D411yescharacteristic
522C22×Dic43—21no—
523C22×Dic43C2×D411yescharacteristic
524C22×Dic43C2×D411yescharacteristic
525#10621902—41no—
526#10621902—41no—
527Q8×D43—22no—
528Q8×D43—41no—
529#10621900—82no—
530D4×D43—41no—
531D4×D43—41no—
532#10621898—22no—
533#10621898—22no—
534#10621898—41no—
535#10621898—41no—
536#10621898—41no—
537#10621898—41no—
538#10621898—41no—
539#10621898—41no—
540#10621898—82no—
541C2×D172—21no—
542C2×D172—21no—
543C2×D172—21no—
544C2×D172—21no—
545C2×D172—21no—
546C2×D172—21no—
547C2×D172—21no—
548C2×D172C2411yescharacteristic
549C2×D172C2411yescharacteristic
550C2×D172C2411yescharacteristic
551C2×D172C2411yescharacteristic
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
558C2×C4×D43—21no—
559C2×C4×D43—21no—
560C2×C4×D43—21no—
561C2×C4×D43—21no—
562C2×C4×D43—21no—
563C2×C4×D43—21no—
564C2×C4×D43C2411yescharacteristic
565C2×Dic86—21no—
566C2×Dic86—21no—
567C2×Dic86—21no—
568C2×Dic86C2×D411yescharacteristic
569C2×Dic86C2411yescharacteristic
570C2×Dic86C2411yescharacteristic
571Q16×C43—41no—
572SD16×C43—41no—
573SD16×C43—41no—
574C2×C8×C43—41no—
575C2×C8×C43—41no—
576C2×C8×C43C2411yescharacteristic
577C2×C8×C43C2411yescharacteristic
578C2×C8×C43C2411yescharacteristic
579C2×C8×C43C2411yescharacteristic
580C4⋊C4×C43—21no—
581C4⋊C4×C43—21no—
582C4⋊C4×C43—21no—
583C4⋊C4×C43—21no—
584C4⋊C4×C43—21no—
585C4⋊C4×C43—21no—
586C4⋊C4×C43—21no—
587C4⋊C4×C43C2×D411yescharacteristic
588C4⋊C4×C43C2411yescharacteristic
589C4⋊C4×C43C2411yescharacteristic
590C4⋊C4×C43C2411yescharacteristic
591C4⋊C4×C43C2411yescharacteristic
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C22⋊C4×C43—21no—
596C22⋊C4×C43—21no—
597C22⋊C4×C43—21no—
598C22⋊C4×C43—21no—
599C22⋊C4×C43—21no—
600C22⋊C4×C43C2×D411yescharacteristic
601C22⋊C4×C43C2×D411yescharacteristic
602C42×C43—21no—
603C42×C43—21no—
604C42×C43C2411yescharacteristic
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609C22⋊Dic43—21no—
610C22⋊Dic43—21no—
611C22⋊Dic43C2×D411yescharacteristic
612C22⋊Dic43C2×D411yescharacteristic
613C22⋊Dic43C2×D411yescharacteristic
614C22⋊Dic43C2×D411yescharacteristic
615#10621885—22no—
616#10621885—41no—
617#10621884—41no—
618#10621884—41no—
619#10621884—41no—
620#10621884—41no—
621#10621883—22no—
622#10621883—22no—
623#10621882—41no—
624#10621882—41no—
625#10621882—41no—
626#10621882—41no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4—21no—
640(C2×D43)⋊C4—21no—
641(C2×D43)⋊C4—21no—
642(C2×D43)⋊C4—21no—
643(C2×D43)⋊C4—21no—
644(C2×D43)⋊C4—21no—
645(C2×D43)⋊C4—21no—
646(C2×D43)⋊C4—21no—
647(C2×D43)⋊C4C2×D411yescharacteristic
648(C2×D43)⋊C4C2×D411yescharacteristic
649(C2×D43)⋊C4C2×D411yescharacteristic
650(C2×D43)⋊C4C2×D411yescharacteristic
651C4⋊Dic43—21no—
652C4⋊Dic43—21no—
653C4⋊Dic43—21no—
654C4⋊Dic43—21no—
655C4⋊Dic43C2×D411yescharacteristic
656C4⋊Dic43C2×D411yescharacteristic
657C4⋊Dic43C2×D411yescharacteristic
658C4⋊Dic43C2411yescharacteristic
659C4⋊Dic43C2411yescharacteristic
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4—21no—
668Dic43⋊C4—21no—
669Dic43⋊C4—21no—
670Dic43⋊C4C2×D411yescharacteristic
671Dic43⋊C4C2×D411yescharacteristic
672Dic43⋊C4C2×D411yescharacteristic
673Dic43⋊C4C2×D411yescharacteristic
674Dic43⋊C4C2×D411yescharacteristic
675Dic43⋊C4C2×D411yescharacteristic
676C4×Dic43—21no—
677C4×Dic43—21no—
678C4×Dic43—21no—
679C4×Dic43—21no—
680C4×Dic43—21no—
681C4×Dic43—21no—
682C4×Dic43—21no—
683C4×Dic43—21no—
684C4×Dic43C2×D411yescharacteristic
685C4×Dic43C2×D411yescharacteristic
686C4×Dic43C2411yescharacteristic
687C4×Dic43C2411yescharacteristic
688C4×Dic43C2411yescharacteristic
689#10621877—41no—
690C2×C43⋊C8—41no—
691C2×C43⋊C8C2411yescharacteristic
692C2×C43⋊C8C2411yescharacteristic
693C2×C43⋊C8C2411yescharacteristic
694C2×C43⋊C8C2411yescharacteristic
695Dic172—22no—
696D344—41no—
697D344—41no—
698D344—41no—
699D344—41no—
700#10621873—22no—
701#10621873—22no—
702#10621873—41no—
703#10621873—41no—
704#10621872—41no—
705C8×D43—41no—
706C23×C43—21no—
707C23×C43—21no—
708C23×C43—81no—
709C23×C43—81no—
710C23×C43—81no—
711C23×C43C22×D411yescharacteristic
712C23×C43C22×D411yescharacteristic
713C22×D43—21no—
714C22×D43—21no—
715C22×D43—21no—
716C22×D43—21no—
717C22×D43—81no—
718C22×D43—81no—
719C22×D43—81no—
720C22×D43C22×D411yescharacteristic
721Q8×C43—21no—
722Q8×C43—21no—
723Q8×C43—21no—
724Q8×C43—21no—
725D4×C43—21no—
726D4×C43—21no—
727D4×C43—21no—
728D4×C43—21no—
729D4×C43—41no—
730D4×C43—81no—
731D4×C43—81no—
732D4×C43—81no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—21no—
741C2×C4×C43—21no—
742C2×C4×C43—21no—
743C2×C4×C43—81no—
744C2×C4×C43—81no—
745C2×C4×C43—81no—
746C2×C4×C43C22×D411yescharacteristic
747C2×C4×C43C22×D411yescharacteristic
748C2×C4×C43C22×D411yescharacteristic
749C2×C4×C43C22×D411yescharacteristic
750C2×C4×C43C2511yescharacteristic
751C22⋊D43—41no—
752C22⋊D43—41no—
753C22⋊D43—42no—
754C22⋊D43—42no—
755C22⋊D43—42no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C22⋊D43—81no—
760C22⋊D43—81no—
761C22⋊D43—81no—
762C22⋊D43—81no—
763C22⋊D43—81no—
764C22⋊D43—81no—
765C22⋊D43—81no—
766C22⋊D43—81no—
767C22⋊D43—81no—
768C22⋊D43—81no—
769C2×Dic43—21no—
770C2×Dic43—21no—
771C2×Dic43—21no—
772C2×Dic43—21no—
773C2×Dic43—41no—
774C2×Dic43—41no—
775C2×Dic43—42no—
776C2×Dic43C22×D411yescharacteristic
777C2×Dic43C22×D411yescharacteristic
778C2×Dic43C22×D411yescharacteristic
779C2×Dic43C22×D411yescharacteristic
780C2×Dic43C22×D411yescharacteristic
781C2×Dic43C22×D411yescharacteristic
782C2×Dic43C22×D411yescharacteristic
783D172—21no—
784D172—21no—
785D172—21no—
786D172—21no—
787D172—21no—
788D172—21no—
789D172—21no—
790D172—21no—
791D172—81no—
792D172—81no—
793D172—81no—
794D172—81no—
795D172—81no—
796D172—81no—
797D172—81no—
798C4×D43—21no—
799C4×D43—21no—
800C4×D43—42no—
801C4×D43—42no—
802C4×D43—42no—
803C4×D43—42no—
804C4×D43—81no—
805C4×D43—81no—
806C4×D43—81no—
807C4×D43—81no—
808C4×D43—81no—
809C4×D43—81no—
810C4×D43—81no—
811C4×D43—81no—
812Dic86—21no—
813Dic86—21no—
814Dic86—21no—
815Dic86—41no—
816Dic86—42no—
817Dic86—81no—
818Dic86—81no—
819Dic86H(5,𝔽2)12yes—
820C8×C43—21no—
821C8×C43—21no—
822C8×C43—21no—
823C8×C43—21no—
824C43⋊C8—21no—
825C43⋊C8—21no—
826C43⋊C8—21no—
827C43⋊C8—21no—
828#62026—431nomaximal, Sylow
829C22×C43—21no—
830C22×C43—21no—
831C22×C43—21no—
832C22×C43—21no—
833C22×C43—21no—
834C22×C43—21no—
835C22×C43—41no—
836C22×C43—41no—
837C22×C43—41no—
838C22×C43—41no—
839C22×C43—41no—
840C22×C43—41no—
841C22×C43—162no—
842C22×C43C23×D411yescharacteristic
843C2×D43—21no—
844C2×D43—21no—
845C2×D43—21no—
846C2×D43—41no—
847C2×D43—41no—
848C2×D43—41no—
849C2×D43—41no—
850C2×D43—41no—
851C2×D43—41no—
852C2×D43—41no—
853C2×D43—41no—
854C2×D43—41no—
855C2×D43—41no—
856C2×D43—41no—
857C2×D43—41no—
858C2×D43—162no—
859C4×C43—21no—
860C4×C43—21no—
861C4×C43—21no—
862C4×C43—21no—
863C4×C43—41no—
864C4×C43—41no—
865C4×C43—41no—
866C4×C43—41no—
867C4×C43—41no—
868C4×C43—41no—
869C4×C43C2×H(5,𝔽2)11yescharacteristic
870C4×C43#58511yescharacteristic
871Dic43—21no—
872Dic43—21no—
873Dic43—21no—
874Dic43—21no—
875Dic43—21no—
876Dic43—21no—
877Dic43—22no—
878Dic43—21no—
879Dic43—41no—
880Dic43—41no—
881Dic43—41no—
882#3546—431no—
883#3524—431no—
884#3401—431no—
885#3399—431no—
886#3377—431no—
887#3368—431no—
888#3319—431no—
889#3318—431no—
890#3317—431no—
891#3307—431no—
892#3305—431no—
893#3296D4311yescharacteristic, complemented
894#3287—431no—
895#3282—431no—
896#3271—431no—
897#3269—431no—
898#3268—431no—
899#3265—431no—
900#3262—431no—
901#3257—431no—
902#3247—431no—
903#3224—431no—
904#3220—431no—
905#3219—431no—
906#3125—431no—
907#3121—431no—
908#3115—431no—
909#3045—431no—
910#3043—431no—
911#3035—431no—
912#2992—431no—
913C2×C43—41no—
914C2×C43—41no—
915C2×C43—81no—
916C2×C43—81no—
917C2×C43#348811yescharacteristic
918C2×C43#358411yescharacteristic
919C2×C43#358511yescharacteristic
920D43—41no—
921D43—81no—
922D43—81no—
923D43—81no—
924D43—81no—
925C2×#137—431no—
926C2×AGL(1,ℤ/8)—431no—
927C2×#135—431no—
928C2×#135—431no—
929C2×#135—431no—
930C22×SD16—431no—
931#560—861no—
932#560—861no—
933#559—431no—
934#559—861no—
935#557—431no—
936#556—431no—
937#555—431no—
938#555—861no—
939#553—431no—
940#553—861no—
941#553—861no—
942#552—861no—
943#552C2×D4311yescharacteristic, complemented
944#550—431no—
945#550—431no—
946#550—431no—
947#550—431no—
948#548—431no—
949#548—431no—
950#547—431no—
951#546—431no—
952#546—861no—
953#546C2×D4311yescharacteristic
954D42—431no—
955#542—431no—
956#542—431no—
957#542—431no—
958#542—861no—
959#540—431no—
960#540—861no—
961#538—861no—
962#538—861no—
963#537—861no—
964#535—431no—
965#535—431no—
966#535—861no—
967#532—431no—
968#532—431no—
969#529—431no—
970#529—431no—
971#529—861no—
972#529—861no—
973#520—431no—
974#519—431no—
975C4×#41—431no—
976#497—431no—
977#496—431no—
978#496—431no—
979#496—431no—
980#495—431no—
981#493—431no—
982#491—431no—
983#490—431no—
984#490—431no—
985#489—431no—
986#488C2×D4311yescharacteristic
987#486—431no—
988#485—431no—
989#483C2×D4311yescharacteristic, complemented
990#482—431no—
991#482—431no—
992#482C2×D4311yescharacteristic
993#481—431no—
994#479—431no—
995#478—431no—
996#478—431no—
997#478C2×D4311yescharacteristic, complemented
998#477—431no—
999#477—431no—
1000#476—431no—
1001#475—431no—
1002#474—431no—
1003#474—431no—
1004#469—431no—
1005#468—431no—
1006#468—431no—
1007#468—431no—
1008#467C2×D4311yescharacteristic, complemented
1009#466—431no—
1010#466—431no—
1011#466—431no—
1012#466—431no—
1013#465—431no—
1014#465—431no—
1015#465C2×D4311yescharacteristic
1016#464—431no—
1017#464—431no—
1018#464—431no—
1019#464—431no—
1020#464—431no—
1021#464—431no—
1022#464—431no—
1023#464C2×D4311yescharacteristic
1024#463—431no—
1025#463—431no—
1026#463—431no—
1027#463—431no—
1028#463—431no—
1029#463—431no—
1030#463—431no—
1031#463—431no—
1032#462—431no—
1033#461—431no—
1034#460—431no—
1035#460—431no—
1036#460—431no—
1037#460—431no—
1038#460—431no—
1039#460—431no—
1040#460—431no—
1041#459—431no—
1042#459—431no—
1043#459—431no—
1044#459—431no—
1045#459—431no—
1046#452—431no—
1047#452—431no—
1048#452—431no—
1049#452C2×D4311yescharacteristic, complemented
1050#451—431no—
1051#450C2×D4311yescharacteristic
1052#449—431no—
1053#449—431no—
1054#449—431no—
1055#449—431no—
1056#449—431no—
1057#449—431no—
1058#449—431no—
1059#449—431no—
1060#448—431no—
1061#447—431no—
1062#447—431no—
1063#447—431no—
1064#446—431no—
1065#446—431no—
1066#442—431no—
1067#442—431no—
1068#442—431no—
1069#441—431no—
1070#441—431no—
1071#440—431no—
1072#440—431no—
1073#440—431no—
1074C4×Q16—431no—
1075C4×SD16—431no—
1076C4×SD16—431no—
1077C4×SD16C2×D4311yescharacteristic, complemented
1078#435—431no—
1079#435—431no—
1080#435—431no—
1081#435—431no—
1082C8×D4—431no—
1083C8×D4C2×D4311yescharacteristic, complemented
1084#433—431no—
1085#433—431no—
1086#432—431no—
1087#424—431no—
1088#424—431no—
1089C2×C4⋊C8—431no—
1090#418—431no—
1091#417—431no—
1092#416—431no—
1093#416—431no—
1094#416C2×D4311yescharacteristic, complemented
1095C2×#102C2×D4311yescharacteristic
1096C43#6202611yescharacteristic, complemented, Sylow
1097C2×#41—431no—
1098C2×#41—431no—
1099C2×#41—431no—
1100C2×#41—431no—
1101C2×#41—431no—
1102C2×#41—861no—
1103C2×#41—861no—
1104C2×#41C22×D4311yescharacteristic
1105C22×Q8—431no—
1106C22×D4—431no—
1107C22×D4—861no—
1108C22×D4C22×D4311yescharacteristic
1109#137—1722no—
1110AGL(1,ℤ/8)—1722no—
1111#135—1722no—
1112#135—1722no—
1113#135—1722no—
1114C2×Q16—431no—
1115C2×Q16—431no—
1116C2×Q16—431no—
1117C2×Q16C22×D4311yescharacteristic
1118C2×SD16—431no—
1119C2×SD16—431no—
1120C2×SD16—431no—
1121C2×SD16—431no—
1122C2×SD16—431no—
1123C2×SD16—431no—
1124C2×SD16—431no—
1125C2×SD16—431no—
1126C2×SD16—431no—
1127C2×SD16—431no—
1128C2×SD16—1722no—
1129C2×SD16C22×D4311yescharacteristic
1130C2×SD16C22×D4311yescharacteristic
1131C2×D8—431no—
1132C2×D8—431no—
1133C2×D8—431no—
1134C2×D8—431no—
1135C2×D8—431no—
1136C2×D8—431no—
1137C2×D8—431no—
1138C2×D8—431no—
1139C2×M16—431no—
1140C2×M16—431no—
1141C22×C8—431no—
1142C22×C8—431no—
1143C22×C8C22×D4311yescharacteristic
1144C22×C8C22×D4311yescharacteristic
1145C4⋊Q8—431no—
1146C4⋊Q8—431no—
1147C4⋊Q8—431no—
1148C4⋊Q8—861no—
1149#127—431no—
1150#127—431no—
1151#127—431no—
1152#127—431no—
1153#127—431no—
1154#127—861no—
1155#127—861no—
1156#127—861no—
1157#126—21no—
1158#126—431no—
1159#126—431no—
1160#126—861no—
1161#126—861no—
1162#126—861no—
1163#126—861no—
1164#126—861no—
1165#126—861no—
1166#126—861no—
1167#125—21no—
1168#125—431no—
1169#125—431no—
1170#125—861no—
1171#125—861no—
1172#125C22×D4311yescharacteristic
1173#124—431no—
1174#124—431no—
1175#124—431no—
1176#124—431no—
1177#124—431no—
1178#124—431no—
1179#124—861no—
1180#124—861no—
1181#124—861no—
1182#124—861no—
1183#124—861no—
1184#124—861no—
1185#124—861no—
1186#124—861no—
1187#124—861no—
1188#124C22×D4311yescharacteristic
1189#123—21no—
1190#123—21no—
1191#123—431no—
1192#123—431no—
1193#123—861no—
1194#123—861no—
1195#123—861no—
1196#123—861no—
1197#123—861no—
1198#123—861no—
1199#123—861no—
1200#123—861no—
1201#123—861no—
1202#123—861no—
1203#123—861no—
1204#123—861no—
1205C22⋊Q8—431no—
1206C22⋊Q8—431no—
1207C22⋊Q8—861no—
1208C22⋊Q8—861no—
1209C22⋊Q8—861no—
1210C22⋊Q8—861no—
1211C22⋊Q8—861no—
1212C22⋊Q8—861no—
1213C22⋊Q8C22×D4311yescharacteristic
1214C22⋊Q8C22×D4311yescharacteristic
1215C22⋊Q8C22×D4311yescharacteristic
1216#121—21no—
1217#121—431no—
1218#121—431no—
1219#121—431no—
1220#121—431no—
1221#121—431no—
1222#121—431no—
1223#121—431no—
1224#121—431no—
1225#121—861no—
1226#121—861no—
1227#121—861no—
1228#121—861no—
1229#121—861no—
1230#121—861no—
1231#121—861no—
1232#121—861no—
1233#121—861no—
1234#121—861no—
1235#121—861no—
1236#121—861no—
1237#121—861no—
1238#121—861no—
1239#121—861no—
1240#121—861no—
1241#121—861no—
1242#121—861no—
1243#121—861no—
1244#121—861no—
1245#121—861no—
1246#121—861no—
1247#121—861no—
1248#121—861no—
1249#121—861no—
1250#121C22×D4311yescharacteristic
1251#120—21no—
1252#120—861no—
1253#120—861no—
1254#120—861no—
1255#120—861no—
1256#120—861no—
1257#120—861no—
1258#120—861no—
1259C4×Q8—431no—
1260C4×Q8—431no—
1261C4×Q8—431no—
1262C4×Q8—431no—
1263C4×Q8—431no—
1264C4×Q8—431no—
1265C4×Q8—431no—
1266C4×Q8—431no—
1267C4×Q8—861no—
1268C4×Q8—861no—
1269C4×Q8—861no—
1270C4×Q8C22×D4311yescharacteristic
1271C4×D4—431no—
1272C4×D4—431no—
1273C4×D4—431no—
1274C4×D4—431no—
1275C4×D4—431no—
1276C4×D4—431no—
1277C4×D4—431no—
1278C4×D4—431no—
1279C4×D4—431no—
1280C4×D4—861no—
1281C4×D4—861no—
1282C4×D4—861no—
1283C4×D4—861no—
1284C4×D4—861no—
1285C4×D4—861no—
1286C4×D4—861no—
1287C4×D4—861no—
1288C4×D4—861no—
1289C4×D4—861no—
1290C4×D4—861no—
1291C4×D4—861no—
1292C4×D4—861no—
1293C4×D4—861no—
1294C4×D4—861no—
1295C4×D4C22×D4311yescharacteristic
1296C4×D4C22×D4311yescharacteristic
1297#117—21no—
1298#117—431no—
1299#117—431no—
1300#117—431no—
1301#117—861no—
1302#117—861no—
1303#117—861no—
1304#117—861no—
1305#117—861no—
1306#117—861no—
1307#117—861no—
1308#117C22×D4311yescharacteristic
1309C2×C4⋊C4—861no—
1310C2×C4⋊C4—861no—
1311C2×C4⋊C4C22×D4311yescharacteristic
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—861no—
1314C2×C42—431no—
1315C2×C42—861no—
1316#107—431no—
1317#107—431no—
1318#107—431no—
1319#107C22×D4311yescharacteristic
1320#106—431no—
1321#106—431no—
1322#106C22×D4311yescharacteristic
1323#106C22×D4311yescharacteristic
1324C4⋊C8—431no—
1325C4⋊C8—431no—
1326C4⋊C8—431no—
1327C4⋊C8—431no—
1328C4⋊C8—431no—
1329C4⋊C8—431no—
1330C4⋊C8—431no—
1331C4⋊C8—431no—
1332C4⋊C8—431no—
1333C4⋊C8C22×D4311yescharacteristic
1334#103—431no—
1335#103—431no—
1336#103—431no—
1337#103—431no—
1338#103—431no—
1339#103—431no—
1340#103—431no—
1341#103—431no—
1342#103C22×D4311yescharacteristic
1343#103C22×D4311yescharacteristic
1344#103C22×D4311yescharacteristic
1345#103C22×D4311yescharacteristic
1346#102—431no—
1347#102—431no—
1348#102—431no—
1349#102—431no—
1350#102—431no—
1351#102—431no—
1352#102—431no—
1353#102—431no—
1354#102—431no—
1355#102—431no—
1356#102—431no—
1357#102—431no—
1358#102—431no—
1359#102—431no—
1360#102C22×D4311yescharacteristic
1361#102C22×D4311yescharacteristic
1362#102C22×D4311yescharacteristic
1363#102C22×D4311yescharacteristic
1364#102C22×D4311yescharacteristic
1365#102C22×D4311yescharacteristic
1366C22⋊C8—431no—
1367C22⋊C8—431no—
1368C22⋊C8—431no—
1369C22⋊C8—431no—
1370C22⋊C8C22×D4311yescharacteristic
1371C22⋊C8C22×D4311yescharacteristic
1372#97—431no—
1373#97—431no—
1374#97—431no—
1375#97—431no—
1376C4×C8—431no—
1377C4×C8C22×D4311yescharacteristic
1378C24—21no—
1379C24—861no—
1380#41—41no—
1381#41—41no—
1382#41—862no—
1383#41—862no—
1384#41—3442no—
1385#41—3442no—
1386#41—1721no—
1387#41—1721no—
1388#41—1721no—
1389#41—1721no—
1390#41—1721no—
1391#41—1721no—
1392#41—1721no—
1393#41—1721no—
1394C2×Q8—431no—
1395C2×Q8—431no—
1396C2×Q8—431no—
1397C2×Q8—861no—
1398C2×Q8—861no—
1399C2×Q8—861no—
1400C2×Q8—862no—
1401C2×Q8—1721no—
1402C2×Q8C23×D4311yescharacteristic
1403C2×Q8C23×D4311yescharacteristic
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—431no—
1410C2×D4—431no—
1411C2×D4—431no—
1412C2×D4—431no—
1413C2×D4—431no—
1414C2×D4—431no—
1415C2×D4—861no—
1416C2×D4—861no—
1417C2×D4—861no—
1418C2×D4—861no—
1419C2×D4—861no—
1420C2×D4—861no—
1421C2×D4—861no—
1422C2×D4—861no—
1423C2×D4—861no—
1424C2×D4—861no—
1425C2×D4—861no—
1426C2×D4—861no—
1427C2×D4—861no—
1428C2×D4—861no—
1429C2×D4—861no—
1430C2×D4—861no—
1431C2×D4—861no—
1432C2×D4—861no—
1433C2×D4—861no—
1434C2×D4—861no—
1435C2×D4—861no—
1436C2×D4—861no—
1437C2×D4—861no—
1438C2×D4—3442no—
1439C2×D4—1721no—
1440C2×D4—1721no—
1441C2×D4D4×D4311yescharacteristic
1442C2×D4C23×D4311yescharacteristic
1443C2×D4C23×D4311yescharacteristic
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—431no—
1448C22×C4—431no—
1449C22×C4—431no—
1450C22×C4—861no—
1451C22×C4—861no—
1452C22×C4—861no—
1453C22×C4—861no—
1454C22×C4—861no—
1455C22×C4—861no—
1456C22×C4—861no—
1457C22×C4—861no—
1458C22×C4—861no—
1459C22×C4—861no—
1460C22×C4—861no—
1461C22×C4—861no—
1462C22×C4—861no—
1463C22×C4C23×D4311yescharacteristic
1464C22×C4C23×D4311yescharacteristic
1465Q16—41no—
1466Q16—862no—
1467Q16—862no—
1468Q16—1721no—
1469SD16—41no—
1470SD16—41no—
1471SD16—862no—
1472SD16—862no—
1473SD16—862no—
1474SD16—862no—
1475SD16—1721no—
1476SD16—1721no—
1477SD16—1721no—
1478SD16—1721no—
1479SD16—1721no—
1480SD16—1721no—
1481D8—1721no—
1482D8—1721no—
1483D8—1721no—
1484D8—1721no—
1485D8—1721no—
1486D8—1721no—
1487D8—1721no—
1488D8—1721no—
1489M16—1721no—
1490M16—1721no—
1491C2×C8—41no—
1492C2×C8—41no—
1493C2×C8—431no—
1494C2×C8—431no—
1495C2×C8—431no—
1496C2×C8—431no—
1497C2×C8—1721no—
1498C2×C8—1721no—
1499C2×C8C23×D4311yescharacteristic
1500C2×C8C23×D4311yescharacteristic
1501C2×C8C23×D4311yescharacteristic
1502C2×C8C23×D4311yescharacteristic
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—431no—
1511C4⋊C4—431no—
1512C4⋊C4—431no—
1513C4⋊C4—431no—
1514C4⋊C4—431no—
1515C4⋊C4—431no—
1516C4⋊C4—431no—
1517C4⋊C4—431no—
1518C4⋊C4—431no—
1519C4⋊C4—431no—
1520C4⋊C4—431no—
1521C4⋊C4—861no—
1522C4⋊C4—861no—
1523C4⋊C4—861no—
1524C4⋊C4—861no—
1525C4⋊C4—861no—
1526C4⋊C4—861no—
1527C4⋊C4—861no—
1528C4⋊C4—861no—
1529C4⋊C4—861no—
1530C4⋊C4—861no—
1531C4⋊C4—861no—
1532C4⋊C4—861no—
1533C4⋊C4—861no—
1534C4⋊C4—861no—
1535C4⋊C4D4×D4311yescharacteristic
1536C4⋊C4C23×D4311yescharacteristic
1537C4⋊C4C23×D4311yescharacteristic
1538C4⋊C4C23×D4311yescharacteristic
1539C4⋊C4C23×D4311yescharacteristic
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—431no—
1549C22⋊C4—431no—
1550C22⋊C4—431no—
1551C22⋊C4—431no—
1552C22⋊C4—431no—
1553C22⋊C4—431no—
1554C22⋊C4—431no—
1555C22⋊C4—431no—
1556C22⋊C4—861no—
1557C22⋊C4—861no—
1558C22⋊C4—861no—
1559C22⋊C4—861no—
1560C22⋊C4—861no—
1561C22⋊C4—861no—
1562C22⋊C4—861no—
1563C22⋊C4—861no—
1564C22⋊C4—861no—
1565C22⋊C4—861no—
1566C22⋊C4—861no—
1567C22⋊C4—861no—
1568C22⋊C4—861no—
1569C22⋊C4—861no—
1570C22⋊C4—861no—
1571C22⋊C4—861no—
1572C22⋊C4—861no—
1573C22⋊C4—861no—
1574C22⋊C4—861no—
1575C22⋊C4—861no—
1576C22⋊C4—861no—
1577C22⋊C4—861no—
1578C22⋊C4—861no—
1579C22⋊C4—861no—
1580C22⋊C4—861no—
1581C22⋊C4—861no—
1582C22⋊C4D4×D4311yescharacteristic
1583C22⋊C4D4×D4311yescharacteristic
1584C42—21no—
1585C42—21no—
1586C42—431no—
1587C42—431no—
1588C42—431no—
1589C42—431no—
1590C42—431no—
1591C42—861no—
1592C42—861no—
1593C42—861no—
1594C42—861no—
1595C42—861no—
1596C42—861no—
1597C42—861no—
1598C42—861no—
1599C42C23×D4311yescharacteristic
1600C23—21no—
1601C23—21no—
1602C23—81no—
1603C23—81no—
1604C23—81no—
1605C23—431no—
1606C23—861no—
1607C23—861no—
1608C23—861no—
1609C23—861no—
1610C23—3441no—
1611C23—3441no—
1612C23—3441no—
1613C23C2×D4×D4311yescharacteristic
1614C23C2×D4×D4311yescharacteristic
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—21no—
1619Q8—432no—
1620Q8—861no—
1621Q8—861no—
1622Q8—861no—
1623Q8—3441no—
1624Q8—3441no—
1625Q8—1721no—
1626Q8—1722no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—41no—
1632D4—81no—
1633D4—81no—
1634D4—81no—
1635D4—861no—
1636D4—861no—
1637D4—861no—
1638D4—861no—
1639D4—861no—
1640D4—861no—
1641D4—861no—
1642D4—861no—
1643D4—3441no—
1644D4—3441no—
1645D4—3441no—
1646D4—3441no—
1647D4—3441no—
1648D4—3441no—
1649D4—3441no—
1650D4—3441no—
1651D4—3441no—
1652D4—3441no—
1653D4—3441no—
1654D4—3441no—
1655D4—3441no—
1656D4—3441no—
1657D4—3441no—
1658D4—3441no—
1659D4—3441no—
1660D4—3441no—
1661D4—3441no—
1662D4—3441no—
1663D4—1721no—
1664D4—1721no—
1665D4—1722no—
1666D4—1722no—
1667D4—1722no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—431no—
1682C2×C4—431no—
1683C2×C4—431no—
1684C2×C4—431no—
1685C2×C4—431no—
1686C2×C4—431no—
1687C2×C4—431no—
1688C2×C4—861no—
1689C2×C4—861no—
1690C2×C4—861no—
1691C2×C4—861no—
1692C2×C4—861no—
1693C2×C4—861no—
1694C2×C4—3441no—
1695C2×C4—3441no—
1696C2×C4—3441no—
1697C2×C4—3441no—
1698C2×C4—3441no—
1699C2×C4—3441no—
1700C2×C4—3441no—
1701C2×C4—3441no—
1702C2×C4—1722no—
1703C2×C4—1722no—
1704C2×C4—1722no—
1705C2×C4—1722no—
1706C2×C4—1721no—
1707C2×C4—1721no—
1708C2×C4—1722no—
1709C2×C4C2×D4×D4311yescharacteristic
1710C2×C4C2×D4×D4311yescharacteristic
1711C2×C4C2×D4×D4311yescharacteristic
1712C2×C4C2×D4×D4311yescharacteristic
1713C2×C4C24×D4311yescharacteristic
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—861no—
1719C8—861no—
1720C8—861no—
1721C8—861no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—162no—
1735C22—861no—
1736C22—861no—
1737C22—861no—
1738C22—1721no—
1739C22—1721no—
1740C22—1721no—
1741C22—1721no—
1742C22—1721no—
1743C22—1721no—
1744C22—1721no—
1745C22—1721no—
1746C22—1721no—
1747C22—1721no—
1748C22—1721no—
1749C22—1721no—
1750C22—6882no—
1751C22C22×D4×D4311yescharacteristic
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—21no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—861no—
1763C4—861no—
1764C4—861no—
1765C4—861no—
1766C4—861no—
1767C4—861no—
1768C4—861no—
1769C4—862no—
1770C4—1721no—
1771C4—1721no—
1772C4—1721no—
1773C4H(5,𝔽2)×D4311yescharacteristic
1774C4#1458373511yescharacteristic
1775C2—41no—
1776C2—41no—
1777C2—81no—
1778C2—81no—
1779C2—3441no—
1780C2—3441no—
1781C2—3441no—
1782C2—3441no—
1783C2—1721no—
1784C2#1914825811yescharacteristic
1785C2#1914936411yescharacteristic
1786C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3296C2
socleC22×C43C23×D4
hypercenter#3296D43
hypocenterC43#62026
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3296

Complements

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

NH ≅ G/Ntype
1. #19148962C2semidirect
2. #19148701C2semidirect
3. #19147664C2semidirect
4. #19147635C2semidirect
5. #19147443C2semidirect
6. #19147327C2semidirect
7. #19146749C2semidirect
8. #19146732C2semidirect
9. #19146715C2semidirect
10. #19146574C2semidirect
11. #19146541C2semidirect
12. #19146355C2semidirect
13. #19146309C2semidirect
14. #19146184C2semidirect
15. #19146147C2semidirect
16. #19146131C2semidirect
17. #19146088C2semidirect
18. #19146057C2semidirect
19. #19146010C2semidirect
20. #19145916C2semidirect
21. #19145693C2semidirect
22. #19145648C2semidirect
23. #19145636C2semidirect
24. #19144867C2semidirect
25. #19144820C2semidirect
26. #19144741C2semidirect
27. #19144139C2semidirect
28. #19144114C2semidirect
29. #19144048C2semidirect
30. #19143728C2semidirect
31. C43×#3296C2semidirect
32. C2×#13063357C22semidirect
34. C2×#13063347C22semidirect
35. C2×#13063347C22semidirect
36. C2×#13063345C22semidirect
40. #14583634C22semidirect
42. #14583626C22semidirect
45. #14583612C22semidirect
52. #14583570C22semidirect
55. #14583559C22semidirect
61. #14583522C22semidirect
64. #14583505C22semidirect
74. #14583435C22semidirect
78. #14583380C22semidirect
79. #14583375C22semidirect
80. #14583367C22semidirect
81. #14583292C22semidirect
84. #14583285C22semidirect
86. #14583276C22semidirect
87. #14583266C22semidirect
88. #14583265C22semidirect
91. #14583244C22semidirect
92. #14583243C22semidirect
93. #14583223C22semidirect
96. #14583203C22semidirect
97. #14583198C22semidirect
99. #14583192C22semidirect
100. #14583192C22semidirect
101. #14583188C22semidirect
102. #14583183C22semidirect
103. #14583178C22semidirect
104. #14583178C22semidirect
107. #14583147C22semidirect
108. #14583146C22semidirect
110. #14583135C22semidirect
113. #14583130C22semidirect
114. #14583129C22semidirect
115. #14583124C22semidirect
116. #14583123C22semidirect
117. #14583123C22semidirect
119. #14583120C22semidirect
120. #14583119C22semidirect
122. #14583117C22semidirect
123. #14583117C22semidirect
124. #14583117C22semidirect
125. #14583117C22semidirect
128. #14583113C22semidirect
129. #14583113C22semidirect
130. #14583108C22semidirect
131. #14583103C22semidirect
132. #14583100C22semidirect
133. #14583100C22semidirect
134. #14583099C22semidirect
137. #14583098C22semidirect
139. #14583094C22semidirect
143. #14583093C22semidirect
144. #14583059C22semidirect
145. #14583059C22semidirect
146. #14583059C22semidirect
147. #14583056C22semidirect
148. #14583047C22semidirect
149. #14583047C22semidirect
151. #14583046C22semidirect
152. #14583046C22semidirect
153. #14583046C22semidirect
154. #14583044C22semidirect
160. #14583029C22semidirect
161. #14583028C22semidirect
162. #14583010C22semidirect
163. #14583010C22semidirect
165. #14583004C22semidirect
166. #14583003C22semidirect
167. #14582999C22semidirect
168. #14582998C22semidirect
170. C4×Dic172C22semidirect
171. #14582986C22semidirect
172. #14582984C22semidirect
174. #14582971C22semidirect
176. #14582967C22semidirect
177. C8×C22⋊D43C22semidirect
178. #14582958C22semidirect
179. #14582957C22semidirect
180. #14582953C22semidirect
181. #14582925C22semidirect
182. #14582924C22semidirect
183. C2×Dic43⋊C8C22semidirect
185. #14582898C22semidirect
186. #14582894C22semidirect
187. #14582893C22semidirect
188. C43×#552C22semidirect
191. C43×#483C22semidirect
193. C43×#478C22semidirect
194. C43×#467C22semidirect
197. C43×#452C22semidirect
199. C4×SD16×C43C22semidirect
200. C8×D4×C43C22semidirect
201. C43×#416C22semidirect
893. #3296D43semidirect
943. #552C2×D43semidirect
989. #483C2×D43semidirect
997. #478C2×D43semidirect
1008. #467C2×D43semidirect
1049. #452C2×D43semidirect
1077. C4×SD16C2×D43semidirect
1083. C8×D4C2×D43semidirect
1094. #416C2×D43semidirect
1096. C43#62026semidirect

Maximal subgroups

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

subgroupindex
#191489622
#191487012
#191476642
#191476352
#191474432
#191473272
#191467492
#191467322
#191467152
#191465742
#191465412
#191463552
#191463092
#191461842
#191461472
#191461312
#191460882
#191460572
#191460102
#191459162
#191456932
#191456482
#191456362
#191448672
#191448202
#191447412
#191441392
#191441142
#191440482
#191437282
C43×#32962
#6202643