Finite Group Databasebeta

← #25990372

Subgroups — #25990372

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#19148955C211yesmaximal, characteristic, complemented
2#19148707C211yesmaximal, characteristic, complemented
3#19147663C211yesmaximal, characteristic, complemented
4#19147637C211yesmaximal, characteristic, complemented
5#19147437C211yesmaximal, characteristic, complemented
6#19146748C211yesmaximal, characteristic, complemented
7#19146735C211yesmaximal, characteristic, complemented
8#19146720C211yesmaximal, characteristic, complemented
9#19146568C211yesmaximal, characteristic, complemented
10#19146544C211yesmaximal, characteristic, complemented
11#19146427C211yesmaximal, characteristic, complemented
12#19146350C211yesmaximal, characteristic, complemented
13#19146304C211yesmaximal, characteristic, complemented
14#19146175C211yesmaximal, characteristic, complemented
15#19146152C211yesmaximal, characteristic, complemented
16#19146137C211yesmaximal, characteristic, complemented
17#19146085C211yesmaximal, characteristic, complemented
18#19146055C211yesmaximal, characteristic, complemented
19#19146010C211yesmaximal, characteristic, complemented
20#19145920C211yesmaximal, characteristic, complemented
21#19145692C211yesmaximal, characteristic, complemented
22#19145646C211yesmaximal, characteristic, complemented
23#19145633C211yesmaximal, characteristic, complemented
24#19144878C211yesmaximal, characteristic, complemented
25#19144822C211yesmaximal, characteristic, complemented
26#19144744C211yesmaximal, characteristic, complemented
27#19144131C211yesmaximal, characteristic, complemented
28#19144111C211yesmaximal, characteristic, complemented
29#19144045C211yesmaximal, characteristic, complemented
30#19143733C211yesmaximal, characteristic, complemented
31C43×#3368C211yesmaximal, characteristic, complemented
32C2×#13063354C2211yescharacteristic, complemented
33C2×#13063352C2211yescharacteristic
34C2×#13063346C2211yescharacteristic, complemented
35C2×#13063346C2211yescharacteristic, complemented
36C2×#13063346C2211yescharacteristic, complemented
37C2×SD16×D43C2211yescharacteristic
38#14583637—21no—
39#14583637—21no—
40#14583634—21no—
41#14583634C2211yescharacteristic, complemented
42#14583622C2211yescharacteristic
43#14583615—21no—
44#14583615C2211yescharacteristic, complemented
45#14583602—21no—
46#14583602C2211yescharacteristic
47#14583601—21no—
48#14583587—21no—
49#14583587C2211yescharacteristic, complemented
50#14583571C2211yescharacteristic, complemented
51#14583569C2211yescharacteristic
52#14583569C2211yescharacteristic
53#14583561C2211yescharacteristic
54#14583561C2211yescharacteristic, complemented
55#14583553C2211yescharacteristic
56#14583544C2211yescharacteristic
57#14583544C2211yescharacteristic
58#14583537—21no—
59#14583534C2211yescharacteristic
60#14583523—21no—
61#14583523C2211yescharacteristic, complemented
62#14583514C2211yescharacteristic
63#14583514C2211yescharacteristic
64#14583505—21no—
65#14583505C2211yescharacteristic, complemented
66#14583486—21no—
67#14583486—21no—
68#14583477—21no—
69#14583465—21no—
70#14583462C2211yescharacteristic
71#14583462C2211yescharacteristic
72#14583447C2211yescharacteristic
73#14583446C2211yescharacteristic
74#14583436—21no—
75#14583436C2211yescharacteristic
76#14583434—21no—
77#14583434C2211yescharacteristic, complemented
78#14583381C2211yescharacteristic, complemented
79#14583375C2211yescharacteristic, complemented
80C4×#10621902C2211yescharacteristic, complemented
81#14583293C2211yescharacteristic, complemented
82#14583288C2211yescharacteristic
83#14583286C2211yescharacteristic
84#14583286C2211yescharacteristic, complemented
85#14583283C2211yescharacteristic
86#14583275C2211yescharacteristic, complemented
87#14583269C2211yescharacteristic, complemented
88#14583261C2211yescharacteristic
89#14583256C2211yescharacteristic
90#14583242C2211yescharacteristic, complemented
91#14583231C2211yescharacteristic, complemented
92#14583226C2211yescharacteristic
93#14583222C2211yescharacteristic
94#14583222C2211yescharacteristic, complemented
95#14583216C2211yescharacteristic
96#14583203C2211yescharacteristic, complemented
97#14583196C2211yescharacteristic
98#14583193C2211yescharacteristic, complemented
99#14583191C2211yescharacteristic, complemented
100#14583188C2211yescharacteristic, complemented
101#14583182C2211yescharacteristic, complemented
102#14583178C2211yescharacteristic, complemented
103#14583151C2211yescharacteristic
104#14583146C2211yescharacteristic, complemented
105#14583146C2211yescharacteristic, complemented
106#14583144C2211yescharacteristic
107#14583141C2211yescharacteristic, complemented
108#14583136C2211yescharacteristic
109#14583134C2211yescharacteristic
110#14583134C2211yescharacteristic
111#14583134C2211yescharacteristic, complemented
112#14583129C2211yescharacteristic
113#14583129C2211yescharacteristic, complemented
114#14583127C2211yescharacteristic, complemented
115#14583122C2211yescharacteristic
116#14583122C2211yescharacteristic, complemented
117#14583121C2211yescharacteristic
118#14583121C2211yescharacteristic
119#14583120C2211yescharacteristic, complemented
120#14583120C2211yescharacteristic, complemented
121#14583119C2211yescharacteristic, complemented
122#14583119C2211yescharacteristic, complemented
123#14583115C2211yescharacteristic
124#14583115C2211yescharacteristic
125#14583114C2211yescharacteristic, complemented
126#14583114C2211yescharacteristic, complemented
127#14583113C2211yescharacteristic, complemented
128#14583113C2211yescharacteristic, complemented
129#14583113C2211yescharacteristic, complemented
130#14583113C2211yescharacteristic, complemented
131#14583109C2211yescharacteristic, complemented
132#14583105C2211yescharacteristic, complemented
133#14583100C2211yescharacteristic, complemented
134#14583098C2211yescharacteristic
135#14583097C2211yescharacteristic
136#14583096C2211yescharacteristic, complemented
137#14583094C2211yescharacteristic, complemented
138#14583093C2211yescharacteristic
139#14583093C2211yescharacteristic
140#14583091C2211yescharacteristic
141#14583091C2211yescharacteristic, complemented
142#14583064C2211yescharacteristic, complemented
143#14583062C2211yescharacteristic, complemented
144#14583062C2211yescharacteristic, complemented
145#14583062C2211yescharacteristic, complemented
146#14583056C2211yescharacteristic, complemented
147#14583051C2211yescharacteristic
148#14583047C2211yescharacteristic
149#14583045C2211yescharacteristic, complemented
150#14583045C2211yescharacteristic, complemented
151#14583045C2211yescharacteristic, complemented
152#14583045C2211yescharacteristic, complemented
153#14583045C2211yescharacteristic, complemented
154#14583043C2211yescharacteristic
155#14583043C2211yescharacteristic, complemented
156#14583036C2211yescharacteristic
157#14583034C2211yescharacteristic
158#14583034C2211yescharacteristic
159#14583034C2211yescharacteristic
160#14583030C2211yescharacteristic, complemented
161#14583012C2211yescharacteristic
162#14583009C2211yescharacteristic, complemented
163#14583009C2211yescharacteristic, complemented
164#14583007C2211yescharacteristic, complemented
165#14583004C2211yescharacteristic, complemented
166#14582997C2211yescharacteristic
167C4×#10621885C2211yescharacteristic, complemented
168C4×#10621873C2211yescharacteristic, complemented
169C4×#10621883C2211yescharacteristic, complemented
170#14582972C2211yescharacteristic
171#14582972C2211yescharacteristic, complemented
172#14582969C2211yescharacteristic
173#14582969C2211yescharacteristic, complemented
174C8×D172C2211yescharacteristic, complemented
175#14582964C2211yescharacteristic, complemented
176#14582961C2211yescharacteristic, complemented
177#14582958C2211yescharacteristic, complemented
178#14582954C2211yescharacteristic, complemented
179#14582924C2211yescharacteristic, complemented
180#14582924C2211yescharacteristic, complemented
181C4⋊C8×D43C2211yescharacteristic, complemented
182#14582902C2211yescharacteristic
183#14582897C2211yescharacteristic, complemented
184#14582892C2211yescharacteristic, complemented
185#14582892C2211yescharacteristic, complemented
186#14582892C2211yescharacteristic, complemented
187#102×D43C2211yescharacteristic
188C43×#557C2211yescharacteristic, complemented
189C43×#550C2211yescharacteristic
190C43×#490C2211yescharacteristic
191C43×#490C2211yescharacteristic, complemented
192C43×#486C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic, complemented
194C43×#478C2211yescharacteristic, complemented
195C43×#474C2211yescharacteristic, complemented
196C43×#460C2211yescharacteristic
197C43×#460C2211yescharacteristic, complemented
198C43×#460C2211yescharacteristic, complemented
199C43×#446C2211yescharacteristic, complemented
200C43×#440C2211yescharacteristic, complemented
201C43×#440C2211yescharacteristic, complemented
202C4×SD16×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621898—21no—
206C2×#10621900C2311yescharacteristic
207C2×#10621900C2311yescharacteristic
208C2×#10621900C2311yescharacteristic
209C2×#10621900C2311yescharacteristic
210C2×Q8×D43C2311yescharacteristic
211C2×D4×D43—21no—
212C2×D4×D43C2311yescharacteristic
213C2×D4×D43C2311yescharacteristic
214#13063354—42no—
215#13063352—42no—
216#13063346—42no—
217#13063346—42no—
218#13063346—42no—
219C2×Dic172C2311yescharacteristic
220C2×Dic172C2311yescharacteristic
221C2×#10621885C2311yescharacteristic
222C2×#10621885C2311yescharacteristic
223C2×#10621873C2311yescharacteristic
224C2×#10621873C2311yescharacteristic
225C2×#10621873C2311yescharacteristic
226C2×#10621873C2311yescharacteristic
227C2×#10621873C2311yescharacteristic
228C2×#10621883C2311yescharacteristic
229C2×#10621883C2311yescharacteristic
230C2×#10621883C2311yescharacteristic
231C2×#10621884C2311yescharacteristic
232SD16×D43—42no—
233C2×D344C2311yescharacteristic
234C2×D344C2311yescharacteristic
235C2×#10621882C2311yescharacteristic
236C2×#10621882C2311yescharacteristic
237C2×#10621882C2311yescharacteristic
238C2×#10621882C2311yescharacteristic
239C2×#10621882C2311yescharacteristic
240C2×#10621882C2311yescharacteristic
241C2×#10621872C2311yescharacteristic
242C2×#10621872C2311yescharacteristic
243C2×C8×D43C2311yescharacteristic
244C2×C8×D43C2311yescharacteristic
245C2×C8×D43C2311yescharacteristic
246C2×C8×D43C2311yescharacteristic
247#13063325C2311yescharacteristic
248#13063324C2311yescharacteristic
249#13063322—21no—
250#13063322C2311yescharacteristic
251#13063321—21no—
252#13063321—21no—
253#13063321C2311yescharacteristic
254#13063320—21no—
255#13063320—21no—
256#13063320—21no—
257#13063320—21no—
258#13063320—21no—
259#13063320—21no—
260#13063320D411yescharacteristic
261#13063320D411yescharacteristic
262#13063318—21no—
263#13063318—21no—
264#13063316—21no—
265#13063316D411yescharacteristic
266#13063314—21no—
267#13063314—21no—
268#13063314—21no—
269#13063314—21no—
270#13063314D411yescharacteristic
271#13063313—21no—
272#13063313—21no—
273#13063313C2311yescharacteristic
274#13063313C2311yescharacteristic
275#13063313C2311yescharacteristic
276#13063313C2311yescharacteristic
277#13063312C2311yescharacteristic
278#13063312C2311yescharacteristic
279#13063311—21no—
280#13063311—21no—
281#13063311—21no—
282#13063310—21no—
283#13063310—21no—
284#13063310—21no—
285#13063310—21no—
286#13063310—21no—
287#13063310—21no—
288#13063310—21no—
289#13063310—21no—
290#13063310D411yescharacteristic
291#13063310D411yescharacteristic
292#13063309—21no—
293#13063309—21no—
294#13063309—21no—
295#13063309—21no—
296#13063308—21no—
297#13063308—21no—
298#13063305—21no—
299#13063305—21no—
300#13063305C2311yescharacteristic
301#13063305C2311yescharacteristic
302#13063305C2311yescharacteristic
303#13063305C2311yescharacteristic
304#13063304—21no—
305#13063304—21no—
306#13063301—21no—
307#13063301—21no—
308#13063301D411yescharacteristic
309#13063300—21no—
310#13063300—21no—
311#13063300—21no—
312#13063300—21no—
313#13063300—21no—
314#13063300—21no—
315#13063300—21no—
316#13063300—21no—
317#13063300D411yescharacteristic
318#13063300C2311yescharacteristic
319#13063300C2311yescharacteristic
320#13063300C2311yescharacteristic
321#13063300C2311yescharacteristic
322#13063300C2311yescharacteristic
323#13063299—21no—
324#13063299—21no—
325#13063299—21no—
326#13063298—21no—
327#13063297—21no—
328#13063297—21no—
329#13063297—21no—
330#13063297—21no—
331#13063297—21no—
332#13063297—21no—
333#13063297—21no—
334#13063297—21no—
335#13063296—21no—
336#13063296—21no—
337#13063296—21no—
338#13063296C2311yescharacteristic
339#13063296C2311yescharacteristic
340#13063296C2311yescharacteristic
341#13063295—21no—
342#13063295—21no—
343#13063293—21no—
344#13063293—21no—
345#13063293—21no—
346#13063293—21no—
347#13063293—21no—
348#13063293—21no—
349Q8×Dic43C2311yescharacteristic
350C4×Dic86—21no—
351C4×Dic86C2311yescharacteristic
352C4×Dic86C2311yescharacteristic
353C4×Dic86C2311yescharacteristic
354#13063290—21no—
355#13063290C2311yescharacteristic
356C4×D172—21no—
357C4×D172—21no—
358C4×D172—21no—
359C4×D172—21no—
360C4×D172—21no—
361C4×D172C2311yescharacteristic
362C4×D172C2311yescharacteristic
363C4×D172C2311yescharacteristic
364C4×D172C2311yescharacteristic
365C4×D172C2311yescharacteristic
366C4×D172C2311yescharacteristic
367D4×Dic43—21no—
368D4×Dic43—21no—
369D4×Dic43—21no—
370D4×Dic43—21no—
371#13063287—21no—
372#13063287—21no—
373#13063287—21no—
374#13063287—21no—
375#13063287—21no—
376#13063287C2311yescharacteristic
377#13063287C2311yescharacteristic
378C4×C22⋊D43—21no—
379#13063283—21no—
380#13063283—21no—
381#13063283—21no—
382#13063283—21no—
383#13063283—21no—
384#13063283—21no—
385#13063283C2311yescharacteristic
386#13063283C2311yescharacteristic
387#13063282—21no—
388#13063282—21no—
389#13063282C2311yescharacteristic
390#13063282C2311yescharacteristic
391C2×C4⋊Dic43—21no—
392C4⋊C4×D43—21no—
393C4⋊C4×D43C2311yescharacteristic
394C2×(C2×D43)⋊C4—21no—
395C2×(C2×D43)⋊C4—21no—
396C42×D43—21no—
397C42×D43C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063258C2311yescharacteristic
400#13063257C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403C4⋊(C43⋊C8)C2311yescharacteristic
404C4⋊(C43⋊C8)C2311yescharacteristic
405C4⋊(C43⋊C8)C2311yescharacteristic
406Dic43⋊C8C2311yescharacteristic
407Dic43⋊C8C2311yescharacteristic
408Dic43⋊C8C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429#13063245C2311yescharacteristic
430#13063245C2311yescharacteristic
431#13063245C2311yescharacteristic
432(C2×D43)⋊C8C2311yescharacteristic
433(C2×D43)⋊C8C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435(C2×D43)⋊C8C2311yescharacteristic
436(C2×D43)⋊C8C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438#13063236C2311yescharacteristic
439#13063236C2311yescharacteristic
440C4×C43⋊C8C2311yescharacteristic
441C2×#41×C43—21no—
442C2×SD16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×SD16×C43C2311yescharacteristic
445C4⋊Q8×C43—21no—
446C4⋊Q8×C43C2311yescharacteristic
447#127×C43C2311yescharacteristic
448#127×C43C2311yescharacteristic
449#127×C43C2311yescharacteristic
450#125×C43—21no—
451#125×C43—21no—
452#125×C43C2311yescharacteristic
453#125×C43C2311yescharacteristic
454#121×C43—21no—
455#121×C43—21no—
456#121×C43—21no—
457C4×Q8×C43—21no—
458C4×Q8×C43C2311yescharacteristic
459C4×Q8×C43C2311yescharacteristic
460C4×Q8×C43C2311yescharacteristic
461C4×Q8×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464C4×D4×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469C4⋊C8×C43C2311yescharacteristic
470C4⋊C8×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#97×C43C2311yescharacteristic
482#97×C43C2311yescharacteristic
483C4×C8×C43C2311yescharacteristic
484C23×D43—21no—
485C23×D43—21no—
486#41×C43—82no—
487C2×Q8×C43—21no—
488C2×Q8×C43C2×D411yescharacteristic
489C2×Q8×C43C2411yescharacteristic
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43—21no—
496C2×D4×C43C2411yescharacteristic
497C2×D4×C43C2411yescharacteristic
498C2×D4×C43C2411yescharacteristic
499C22×C4×C43—21no—
500C22×C4×C43—21no—
501C22×C4×C43—21no—
502C2×C22⋊D43—21no—
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—
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517#10621902—22no—
518#10621902—22no—
519#10621902—41no—
520#10621902—41no—
521Q8×D43—22no—
522Q8×D43—41no—
523#10621900—41no—
524#10621900—41no—
525#10621900—41no—
526#10621900—41no—
527#10621900—41no—
528#10621900—41no—
529#10621900—41no—
530#10621900—41no—
531D4×D43—41no—
532D4×D43—41no—
533D4×D43—41no—
534D4×D43—41no—
535D4×D43—82no—
536#10621898—82no—
537C2×D172—21no—
538C2×D172—21no—
539C2×D172—21no—
540C2×D172—21no—
541C2×D172—21no—
542C2×D172—21no—
543C2×D172—21no—
544C2×D172—21no—
545C2×D172—21no—
546C2×D172C2×D411yescharacteristic
547C2×D172C2×D411yescharacteristic
548C2×D172C2×D411yescharacteristic
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×D43C2×D411yescharacteristic
562C2×C4×D43C2×D411yescharacteristic
563C2×C4×D43C2411yescharacteristic
564C2×C4×D43C2411yescharacteristic
565C2×C4×D43C2411yescharacteristic
566C2×Dic86—21no—
567C2×Dic86—21no—
568C2×Dic86C2411yescharacteristic
569C2×Dic86C2411yescharacteristic
570C2×Dic86C2411yescharacteristic
571SD16×C43—22no—
572SD16×C43—22no—
573SD16×C43—22no—
574C2×C8×C43C2411yescharacteristic
575C2×C8×C43C2411yescharacteristic
576C2×C8×C43C2411yescharacteristic
577C2×C8×C43C2411yescharacteristic
578C4⋊C4×C43—21no—
579C4⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
587C4⋊C4×C43C2×D411yescharacteristic
588C4⋊C4×C43C2×D411yescharacteristic
589C4⋊C4×C43C2411yescharacteristic
590C4⋊C4×C43C2411yescharacteristic
591C4⋊C4×C43C2411yescharacteristic
592C4⋊C4×C43C2411yescharacteristic
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C22⋊C4×C43—21no—
596C42×C43—21no—
597C42×C43—21no—
598C42×C43—21no—
599C42×C43C2411yescharacteristic
600C42×C43C2411yescharacteristic
601C42×C43C2411yescharacteristic
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609#10621885—22no—
610#10621885—22no—
611#10621884—22no—
612#10621883—41no—
613#10621883—41no—
614#10621883—41no—
615#10621882—41no—
616#10621882—41no—
617#10621882—41no—
618#10621882—41no—
619#10621882—41no—
620#10621882—41no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊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)⋊C4C2×D411yescharacteristic
646(C2×D43)⋊C4C2×D411yescharacteristic
647(C2×D43)⋊C4C2×D411yescharacteristic
648(C2×D43)⋊C4C2×D411yescharacteristic
649(C2×D43)⋊C4C2×D411yescharacteristic
650(C2×D43)⋊C4C2×D411yescharacteristic
651(C2×D43)⋊C4C2×D411yescharacteristic
652(C2×D43)⋊C4C2×D411yescharacteristic
653(C2×D43)⋊C4C2×D411yescharacteristic
654(C2×D43)⋊C4C2×D411yescharacteristic
655C4⋊Dic43—21no—
656C4⋊Dic43—21no—
657C4⋊Dic43—21no—
658C4⋊Dic43—21no—
659C4⋊Dic43—21no—
660C4⋊Dic43—21no—
661C4⋊Dic43—21no—
662C4⋊Dic43C2×D411yescharacteristic
663C4⋊Dic43C2×D411yescharacteristic
664C4⋊Dic43C2×D411yescharacteristic
665C4⋊Dic43C2411yescharacteristic
666C4⋊Dic43C2411yescharacteristic
667Dic43⋊C4—21no—
668Dic43⋊C4—21no—
669Dic43⋊C4—21no—
670Dic43⋊C4—21no—
671Dic43⋊C4—21no—
672Dic43⋊C4—21no—
673Dic43⋊C4C2×D411yescharacteristic
674Dic43⋊C4C2×D411yescharacteristic
675Dic43⋊C4C2×D411yescharacteristic
676Dic43⋊C4C2×D411yescharacteristic
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
687C2×C43⋊C8C2411yescharacteristic
688C2×C43⋊C8C2411yescharacteristic
689C2×C43⋊C8C2411yescharacteristic
690C2×C43⋊C8C2411yescharacteristic
691Dic172—41no—
692Dic172—41no—
693D344—41no—
694D344—41no—
695#10621873—41no—
696#10621873—41no—
697#10621873—41no—
698#10621873—41no—
699#10621873—41no—
700#10621872—41no—
701#10621872—41no—
702C8×D43—41no—
703C8×D43—41no—
704C8×D43—41no—
705C8×D43—41no—
706C23×C43—21no—
707C23×C43—21no—
708C23×C43—21no—
709C22×D43—21no—
710C22×D43—21no—
711C22×D43—21no—
712C22×D43—81no—
713C22×D43—81no—
714C22×D43—81no—
715C22×D43—81no—
716C22×D43—81no—
717C22×D43—81no—
718C22×D43C22×D411yescharacteristic
719C22×D43C22×D411yescharacteristic
720C22×D43C22×D411yescharacteristic
721Q8×C43—21no—
722Q8×C43—41no—
723Q8×C43—81no—
724Q8×C43H(5,𝔽2)12yes—
725D4×C43—21no—
726D4×C43—21no—
727D4×C43—21no—
728D4×C43—21no—
729D4×C43—21no—
730D4×C43—21no—
731D4×C43—42no—
732D4×C43—81no—
733D4×C43—81no—
734D4×C43—81no—
735D4×C43—81no—
736D4×C43—81no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—21no—
741C2×C4×C43—21no—
742C2×C4×C43—42no—
743C2×C4×C43—81no—
744C2×C4×C43—81no—
745C2×C4×C43C22×D411yescharacteristic
746C2×C4×C43C22×D411yescharacteristic
747C2×C4×C43C22×D411yescharacteristic
748C2×C4×C43C22×D411yescharacteristic
749C2×C4×C43C22×D411yescharacteristic
750C2×C4×C43C22×D411yescharacteristic
751C2×C4×C43C2511yescharacteristic
752C22⋊D43—81no—
753C22⋊D43—81no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C22⋊D43—81no—
760C22⋊D43—81no—
761C22⋊D43—81no—
762C22⋊D43—81no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—81no—
769C2×Dic43—81no—
770C2×Dic43—81no—
771C2×Dic43—81no—
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774C2×Dic43C22×D411yescharacteristic
775C2×Dic43C22×D411yescharacteristic
776C2×Dic43C22×D411yescharacteristic
777D172—21no—
778D172—21no—
779D172—21no—
780D172—21no—
781D172—21no—
782D172—21no—
783D172—41no—
784D172—41no—
785D172—41no—
786D172—42no—
787D172—42no—
788D172—81no—
789D172—81no—
790D172—81no—
791D172—81no—
792D172—81no—
793D172—81no—
794D172—81no—
795C4×D43—21no—
796C4×D43—21no—
797C4×D43—21no—
798C4×D43—21no—
799C4×D43—21no—
800C4×D43—21no—
801C4×D43—41no—
802C4×D43—41no—
803C4×D43—42no—
804C4×D43—42no—
805C4×D43—42no—
806C4×D43—42no—
807C4×D43—81no—
808C4×D43—81no—
809C4×D43—81no—
810C4×D43—81no—
811C4×D43—81no—
812Dic86—21no—
813Dic86—21no—
814Dic86—21no—
815Dic86—21no—
816Dic86—21no—
817Dic86—21no—
818Dic86—42no—
819Dic86—81no—
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—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—41no—
833C22×C43—41no—
834C22×C43—41no—
835C22×C43—41no—
836C22×C43—41no—
837C22×C43—41no—
838C22×C43C23×D411yescharacteristic
839C2×D43—21no—
840C2×D43—21no—
841C2×D43—21no—
842C2×D43—21no—
843C2×D43—21no—
844C2×D43—21no—
845C2×D43—21no—
846C2×D43—21no—
847C2×D43—21no—
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—162no—
858C2×D43—162no—
859C4×C43—21no—
860C4×C43—21no—
861C4×C43—21no—
862C4×C43—21no—
863C4×C43—21no—
864C4×C43—21no—
865C4×C43—22no—
866C4×C43—41no—
867C4×C43—41no—
868C4×C43—41no—
869C4×C43—41no—
870C4×C43C2×H(5,𝔽2)11yescharacteristic
871C4×C43#58511yescharacteristic
872Dic43—21no—
873Dic43—21no—
874Dic43—21no—
875Dic43—21no—
876Dic43—21no—
877Dic43—41no—
878Dic43—41no—
879Dic43—41no—
880Dic43—41no—
881Dic43—41no—
882#3546—431no—
883#3524—431no—
884#3401—431no—
885#3399—431no—
886#3377—431no—
887#3368D4311yescharacteristic, complemented
888#3319—431no—
889#3318—431no—
890#3317—431no—
891#3307—431no—
892#3305—431no—
893#3296—431no—
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—81no—
914C2×C43—81no—
915C2×C43—81no—
916C2×C43#348811yescharacteristic
917C2×C43#358411yescharacteristic
918C2×C43#358511yescharacteristic
919D43—41no—
920D43—41no—
921D43—41no—
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#557C2×D4311yescharacteristic, complemented
936#556—431no—
937#555—431no—
938#555—861no—
939#553—431no—
940#553—861no—
941#553—861no—
942#552—431no—
943#552—861no—
944#550—431no—
945#550—431no—
946#550—431no—
947#550C2×D4311yescharacteristic
948#548—431no—
949#548—431no—
950#547—431no—
951#546—431no—
952#546—431no—
953#546—861no—
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#490C2×D4311yescharacteristic
984#490C2×D4311yescharacteristic, complemented
985#489—431no—
986#488—431no—
987#486C2×D4311yescharacteristic, complemented
988#485—431no—
989#483—431no—
990#482—431no—
991#482—431no—
992#482—431no—
993#481—431no—
994#479—431no—
995#478—431no—
996#478C2×D4311yescharacteristic, complemented
997#478C2×D4311yescharacteristic, complemented
998#477—431no—
999#477—431no—
1000#476—431no—
1001#475—431no—
1002#474—431no—
1003#474C2×D4311yescharacteristic, complemented
1004#469—431no—
1005#468—431no—
1006#468—431no—
1007#468—431no—
1008#467—431no—
1009#466—431no—
1010#466—431no—
1011#466—431no—
1012#466—431no—
1013#465—431no—
1014#465—431no—
1015#465—431no—
1016#464—431no—
1017#464—431no—
1018#464—431no—
1019#464—431no—
1020#464—431no—
1021#464—431no—
1022#464—431no—
1023#464—431no—
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#460C2×D4311yescharacteristic
1039#460C2×D4311yescharacteristic, complemented
1040#460C2×D4311yescharacteristic, complemented
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#452—431no—
1050#451—431no—
1051#450—431no—
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#446C2×D4311yescharacteristic, complemented
1066#442—431no—
1067#442—431no—
1068#442—431no—
1069#441—431no—
1070#441—431no—
1071#440—431no—
1072#440C2×D4311yescharacteristic, complemented
1073#440C2×D4311yescharacteristic, complemented
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×D4—431no—
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#416—431no—
1095C2×#102—431no—
1096C43#6202611yescharacteristic, complemented, Sylow
1097C2×#41—21no—
1098C2×#41—431no—
1099C2×#41—431no—
1100C2×#41—431no—
1101C2×#41—431no—
1102C2×#41—431no—
1103C2×#41—431no—
1104C2×#41—861no—
1105C22×Q8—431no—
1106C22×D4—431no—
1107C22×D4—431no—
1108C22×D4—861no—
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×Q16—431no—
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—1722no—
1128C2×SD16C22×D4311yescharacteristic
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×C8—431no—
1144C22×C8—431no—
1145C4⋊Q8—21no—
1146C4⋊Q8—431no—
1147C4⋊Q8—431no—
1148C4⋊Q8C22×D4311yescharacteristic
1149#127—431no—
1150#127—431no—
1151#127—861no—
1152#127—861no—
1153#127—861no—
1154#127C22×D4311yescharacteristic
1155#127C22×D4311yescharacteristic
1156#127C22×D4311yescharacteristic
1157#126—431no—
1158#126—431no—
1159#126—861no—
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—21no—
1169#125—431no—
1170#125—861no—
1171#125C22×D4311yescharacteristic
1172#125C22×D4311yescharacteristic
1173#124—431no—
1174#124—431no—
1175#124—431no—
1176#124—431no—
1177#124—431no—
1178#124—431no—
1179#124—431no—
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#124—861no—
1189#123—431no—
1190#123—431no—
1191#123—861no—
1192#123—861no—
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—431no—
1208C22⋊Q8—431no—
1209C22⋊Q8—431no—
1210C22⋊Q8—861no—
1211C22⋊Q8—861no—
1212C22⋊Q8—861no—
1213C22⋊Q8—861no—
1214C22⋊Q8—861no—
1215C22⋊Q8—861no—
1216#121—21no—
1217#121—21no—
1218#121—21no—
1219#121—431no—
1220#121—431no—
1221#121—431no—
1222#121—431no—
1223#121—431no—
1224#121—431no—
1225#121—431no—
1226#121—431no—
1227#121—431no—
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#121—861no—
1251#120—861no—
1252#120—861no—
1253#120—861no—
1254#120—861no—
1255#120—861no—
1256#120—861no—
1257#120—861no—
1258#120—861no—
1259C4×Q8—21no—
1260C4×Q8—431no—
1261C4×Q8—431no—
1262C4×Q8—431no—
1263C4×Q8—431no—
1264C4×Q8—431no—
1265C4×Q8—861no—
1266C4×Q8—861no—
1267C4×Q8C22×D4311yescharacteristic
1268C4×Q8C22×D4311yescharacteristic
1269C4×Q8C22×D4311yescharacteristic
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—861no—
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×D4C22×D4311yescharacteristic
1295C4×D4C22×D4311yescharacteristic
1296C4×D4C22×D4311yescharacteristic
1297#117—431no—
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#117—861no—
1309C2×C4⋊C4—431no—
1310C2×C4⋊C4—861no—
1311C2×C4⋊C4—861no—
1312C2×C22⋊C4—861no—
1313C2×C22⋊C4—861no—
1314C2×C42—431no—
1315C2×C42—861no—
1316#107—431no—
1317#107—431no—
1318#107C22×D4311yescharacteristic
1319#107C22×D4311yescharacteristic
1320#106—431no—
1321#106—431no—
1322#106—431no—
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⋊C8C22×D4311yescharacteristic
1332C4⋊C8C22×D4311yescharacteristic
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#103—431no—
1343#103—431no—
1344#103—431no—
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#102C22×D4311yescharacteristic
1358#102C22×D4311yescharacteristic
1359#102C22×D4311yescharacteristic
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⋊C8—431no—
1371C22⋊C8—431no—
1372#97—431no—
1373#97—431no—
1374#97C22×D4311yescharacteristic
1375#97C22×D4311yescharacteristic
1376C4×C8—431no—
1377C4×C8C22×D4311yescharacteristic
1378C24—861no—
1379C24—861no—
1380#41—82no—
1381#41—862no—
1382#41—862no—
1383#41—3442no—
1384#41—1721no—
1385#41—1721no—
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—21no—
1395C2×Q8—431no—
1396C2×Q8—431no—
1397C2×Q8—431no—
1398C2×Q8—861no—
1399C2×Q8—861no—
1400C2×Q8—862no—
1401C2×Q8—1721no—
1402C2×Q8D4×D4311yescharacteristic
1403C2×Q8C23×D4311yescharacteristic
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—431no—
1411C2×D4—431no—
1412C2×D4—431no—
1413C2×D4—431no—
1414C2×D4—431no—
1415C2×D4—431no—
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—3442no—
1437C2×D4—1721no—
1438C2×D4—1721no—
1439C2×D4—1721no—
1440C2×D4—1721no—
1441C2×D4C23×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—431no—
1451C22×C4—431no—
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×C4—861no—
1464C22×C4—861no—
1465Q16—862no—
1466Q16—862no—
1467Q16—1721no—
1468Q16—1721no—
1469SD16—22no—
1470SD16—22no—
1471SD16—22no—
1472SD16—862no—
1473SD16—1721no—
1474SD16—1721no—
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—431no—
1492C2×C8—431no—
1493C2×C8—431no—
1494C2×C8—431no—
1495C2×C8—1721no—
1496C2×C8—1721no—
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—21no—
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—861no—
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⋊C4D4×D4311yescharacteristic
1534C4⋊C4D4×D4311yescharacteristic
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—431no—
1544C22⋊C4—431no—
1545C22⋊C4—431no—
1546C22⋊C4—431no—
1547C22⋊C4—431no—
1548C22⋊C4—431no—
1549C22⋊C4—431no—
1550C22⋊C4—431no—
1551C22⋊C4—431no—
1552C22⋊C4—431no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4—861no—
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⋊C4—861no—
1583C22⋊C4—861no—
1584C42—21no—
1585C42—21no—
1586C42—21no—
1587C42—431no—
1588C42—431no—
1589C42—431no—
1590C42—861no—
1591C42—861no—
1592C42—861no—
1593C42—861no—
1594C42—861no—
1595C42—861no—
1596C42—861no—
1597C42C23×D4311yescharacteristic
1598C42C23×D4311yescharacteristic
1599C42C23×D4311yescharacteristic
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—431no—
1604C23—431no—
1605C23—431no—
1606C23—861no—
1607C23—861no—
1608C23—861no—
1609C23—3441no—
1610C23—3441no—
1611C23—3441no—
1612C23—3441no—
1613C23—3441no—
1614C23—3441no—
1615Q8—21no—
1616Q8—41no—
1617Q8—81no—
1618Q8—861no—
1619Q8—861no—
1620Q8—861no—
1621Q8—861no—
1622Q8—861no—
1623Q8—861no—
1624Q8—3441no—
1625Q8—1722no—
1626Q8#1306337112yes—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—42no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—861no—
1640D4—861no—
1641D4—861no—
1642D4—861no—
1643D4—861no—
1644D4—861no—
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—1721no—
1666D4—1722no—
1667D4—1722no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—42no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—431no—
1677C2×C4—431no—
1678C2×C4—431no—
1679C2×C4—431no—
1680C2×C4—431no—
1681C2×C4—861no—
1682C2×C4—861no—
1683C2×C4—861no—
1684C2×C4—861no—
1685C2×C4—861no—
1686C2×C4—861no—
1687C2×C4—861no—
1688C2×C4—861no—
1689C2×C4—861no—
1690C2×C4—861no—
1691C2×C4—861no—
1692C2×C4—3441no—
1693C2×C4—3441no—
1694C2×C4—3441no—
1695C2×C4—3441no—
1696C2×C4—3441no—
1697C2×C4—3441no—
1698C2×C4—3441no—
1699C2×C4—3441no—
1700C2×C4—3441no—
1701C2×C4—1721no—
1702C2×C4—1721no—
1703C2×C4—1722no—
1704C2×C4—1722no—
1705C2×C4—1722no—
1706C2×C4—1722no—
1707C2×C4C2×D4×D4311yescharacteristic
1708C2×C4C2×D4×D4311yescharacteristic
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—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—861no—
1732C22—861no—
1733C22—861no—
1734C22—861no—
1735C22—861no—
1736C22—861no—
1737C22—861no—
1738C22—861no—
1739C22—861no—
1740C22—1721no—
1741C22—1721no—
1742C22—1721no—
1743C22—1721no—
1744C22—1721no—
1745C22—1721no—
1746C22—1721no—
1747C22—1721no—
1748C22—1721no—
1749C22—6882no—
1750C22—6882no—
1751C22C22×D4×D4311yescharacteristic
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—22no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—861no—
1764C4—861no—
1765C4—861no—
1766C4—861no—
1767C4—861no—
1768C4—1721no—
1769C4—1721no—
1770C4—1721no—
1771C4—1721no—
1772C4—1721no—
1773C4C2×#1306337111yescharacteristic
1774C4#1458373611yescharacteristic
1775C2—81no—
1776C2—81no—
1777C2—81no—
1778C2—3441no—
1779C2—3441no—
1780C2—3441no—
1781C2—1721no—
1782C2—1721no—
1783C2—1721no—
1784C2#1914826111yescharacteristic
1785C2#1914936711yescharacteristic
1786C2#1914937111yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3368C2
socleC22×C43C23×D4
hypercenter#3368D43
hypocenterC43#62026
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3368

Complements

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

NH ≅ G/Ntype
1. #19148955C2semidirect
2. #19148707C2semidirect
3. #19147663C2semidirect
4. #19147637C2semidirect
5. #19147437C2semidirect
6. #19146748C2semidirect
7. #19146735C2semidirect
8. #19146720C2semidirect
9. #19146568C2semidirect
10. #19146544C2semidirect
11. #19146427C2semidirect
12. #19146350C2semidirect
13. #19146304C2semidirect
14. #19146175C2semidirect
15. #19146152C2semidirect
16. #19146137C2semidirect
17. #19146085C2semidirect
18. #19146055C2semidirect
19. #19146010C2semidirect
20. #19145920C2semidirect
21. #19145692C2semidirect
22. #19145646C2semidirect
23. #19145633C2semidirect
24. #19144878C2semidirect
25. #19144822C2semidirect
26. #19144744C2semidirect
27. #19144131C2semidirect
28. #19144111C2semidirect
29. #19144045C2semidirect
30. #19143733C2semidirect
31. C43×#3368C2semidirect
32. C2×#13063354C22semidirect
34. C2×#13063346C22semidirect
35. C2×#13063346C22semidirect
36. C2×#13063346C22semidirect
41. #14583634C22semidirect
44. #14583615C22semidirect
49. #14583587C22semidirect
50. #14583571C22semidirect
54. #14583561C22semidirect
61. #14583523C22semidirect
65. #14583505C22semidirect
77. #14583434C22semidirect
78. #14583381C22semidirect
79. #14583375C22semidirect
80. C4×#10621902C22semidirect
81. #14583293C22semidirect
84. #14583286C22semidirect
86. #14583275C22semidirect
87. #14583269C22semidirect
90. #14583242C22semidirect
91. #14583231C22semidirect
94. #14583222C22semidirect
96. #14583203C22semidirect
98. #14583193C22semidirect
99. #14583191C22semidirect
100. #14583188C22semidirect
101. #14583182C22semidirect
102. #14583178C22semidirect
104. #14583146C22semidirect
105. #14583146C22semidirect
107. #14583141C22semidirect
111. #14583134C22semidirect
113. #14583129C22semidirect
114. #14583127C22semidirect
116. #14583122C22semidirect
119. #14583120C22semidirect
120. #14583120C22semidirect
121. #14583119C22semidirect
122. #14583119C22semidirect
125. #14583114C22semidirect
126. #14583114C22semidirect
127. #14583113C22semidirect
128. #14583113C22semidirect
129. #14583113C22semidirect
130. #14583113C22semidirect
131. #14583109C22semidirect
132. #14583105C22semidirect
133. #14583100C22semidirect
136. #14583096C22semidirect
137. #14583094C22semidirect
141. #14583091C22semidirect
142. #14583064C22semidirect
143. #14583062C22semidirect
144. #14583062C22semidirect
145. #14583062C22semidirect
146. #14583056C22semidirect
149. #14583045C22semidirect
150. #14583045C22semidirect
151. #14583045C22semidirect
152. #14583045C22semidirect
153. #14583045C22semidirect
155. #14583043C22semidirect
160. #14583030C22semidirect
162. #14583009C22semidirect
163. #14583009C22semidirect
164. #14583007C22semidirect
165. #14583004C22semidirect
167. C4×#10621885C22semidirect
168. C4×#10621873C22semidirect
169. C4×#10621883C22semidirect
171. #14582972C22semidirect
173. #14582969C22semidirect
174. C8×D172C22semidirect
175. #14582964C22semidirect
176. #14582961C22semidirect
177. #14582958C22semidirect
178. #14582954C22semidirect
179. #14582924C22semidirect
180. #14582924C22semidirect
181. C4⋊C8×D43C22semidirect
183. #14582897C22semidirect
184. #14582892C22semidirect
185. #14582892C22semidirect
186. #14582892C22semidirect
188. C43×#557C22semidirect
191. C43×#490C22semidirect
192. C43×#486C22semidirect
193. C43×#478C22semidirect
194. C43×#478C22semidirect
195. C43×#474C22semidirect
197. C43×#460C22semidirect
198. C43×#460C22semidirect
199. C43×#446C22semidirect
200. C43×#440C22semidirect
201. C43×#440C22semidirect
202. C4×SD16×C43C22semidirect
887. #3368D43semidirect
935. #557C2×D43semidirect
984. #490C2×D43semidirect
987. #486C2×D43semidirect
996. #478C2×D43semidirect
997. #478C2×D43semidirect
1003. #474C2×D43semidirect
1039. #460C2×D43semidirect
1040. #460C2×D43semidirect
1065. #446C2×D43semidirect
1072. #440C2×D43semidirect
1073. #440C2×D43semidirect
1077. C4×SD16C2×D43semidirect
1096. C43#62026semidirect

Maximal subgroups

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

subgroupindex
#191489552
#191487072
#191476632
#191476372
#191474372
#191467482
#191467352
#191467202
#191465682
#191465442
#191464272
#191463502
#191463042
#191461752
#191461522
#191461372
#191460852
#191460552
#191460102
#191459202
#191456922
#191456462
#191456332
#191448782
#191448222
#191447442
#191441312
#191441112
#191440452
#191437332
C43×#33682
#6202643