Finite Group Databasebeta

← #25979617

Subgroups — #25979617

Order 11008.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148706C211yesmaximal, characteristic, complemented
2#19148665C211yesmaximal, characteristic, complemented
3#19147662C211yesmaximal, characteristic, complemented
4#19147545C211yesmaximal, characteristic, complemented
5#19147281C211yesmaximal, characteristic, complemented
6#19147253C211yesmaximal, characteristic, complemented
7#19147151C211yesmaximal, characteristic, complemented
8#19147130C211yesmaximal, characteristic, complemented
9#19147096C211yesmaximal, characteristic, complemented
10#19146536C211yesmaximal, characteristic, complemented
11#19146519C211yesmaximal, characteristic, complemented
12#19146493C211yesmaximal, characteristic, complemented
13#19146478C211yesmaximal, characteristic, complemented
14#19146446C211yesmaximal, characteristic, complemented
15#19146435C211yesmaximal, characteristic, complemented
16#19146220C211yesmaximal, characteristic, complemented
17#19146144C211yesmaximal, characteristic, complemented
18#19146137C211yesmaximal, characteristic, complemented
19#19145278C211yesmaximal, characteristic, complemented
20#19145267C211yesmaximal, characteristic, complemented
21#19145168C211yesmaximal, characteristic, complemented
22#19144824C211yesmaximal, characteristic, complemented
23#19144807C211yesmaximal, characteristic, complemented
24#19144794C211yesmaximal, characteristic, complemented
25#19144783C211yesmaximal, characteristic, complemented
26#19144710C211yesmaximal, characteristic, complemented
27#19144708C211yesmaximal, characteristic, complemented
28#19143566C211yesmaximal, characteristic, complemented
29#19143422C211yesmaximal, characteristic, complemented
30C4×#13063346C211yesmaximal, characteristic, complemented
31C43×#2947C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063346C2211yescharacteristic
34#14583634—21no—
35#14583634C2211yescharacteristic, complemented
36#14583625C2211yescharacteristic, complemented
37#14583622C2211yescharacteristic
38#14583621C2211yescharacteristic
39#14583612—21no—
40#14583612C2211yescharacteristic, complemented
41#14583606C2211yescharacteristic
42#14583597C2211yescharacteristic
43#14583595—21no—
44#14583593—21no—
45#14583593C2211yescharacteristic
46#14583590—21no—
47#14583590C2211yescharacteristic
48#14583584C2211yescharacteristic
49#14583582—21no—
50#14583578—21no—
51#14583573—21no—
52#14583571C2211yescharacteristic
53#14583560C2211yescharacteristic
54#14583560C2211yescharacteristic, complemented
55#14583548C2211yescharacteristic
56#14583544C2211yescharacteristic
57#14583537C2211yescharacteristic
58#14583521—21no—
59#14583521C2211yescharacteristic
60#14583520C2211yescharacteristic
61#14583507C2211yescharacteristic
62#14583504—21no—
63#14583504C2211yescharacteristic, complemented
64#14583496—21no—
65#14583482—21no—
66#14583436—21no—
67#14583436C2211yescharacteristic
68#14583436C2211yescharacteristic, complemented
69#14583429—21no—
70#14583427—21no—
71#14583427C2211yescharacteristic
72C2×#13063320—21no—
73#14583381C2211yescharacteristic
74#14583371C2211yescharacteristic
75C4×#10621902C2211yescharacteristic, complemented
76C4×#10621900C2211yescharacteristic
77#14583308C2211yescharacteristic, complemented
78#14583307C2211yescharacteristic, complemented
79#14583300C2211yescharacteristic, complemented
80#14583292C2211yescharacteristic, complemented
81#14583288C2211yescharacteristic
82#14583284C2211yescharacteristic
83#14583255C2211yescharacteristic
84#14583255C2211yescharacteristic, complemented
85#14583255C2211yescharacteristic, complemented
86#14583254C2211yescharacteristic
87#14583248C2211yescharacteristic, complemented
88#14583246C2211yescharacteristic, complemented
89#14583240C2211yescharacteristic, complemented
90#14583239C2211yescharacteristic, complemented
91#14583238C2211yescharacteristic
92#14583238C2211yescharacteristic, complemented
93#14583233C2211yescharacteristic
94#14583231C2211yescharacteristic
95#14583226C2211yescharacteristic
96#14583226C2211yescharacteristic, complemented
97#14583225C2211yescharacteristic
98#14583223C2211yescharacteristic
99#14583217C2211yescharacteristic, complemented
100#14583212C2211yescharacteristic, complemented
101#14583208C2211yescharacteristic, complemented
102#14583206C2211yescharacteristic, complemented
103#14583205C2211yescharacteristic, complemented
104#14583204C2211yescharacteristic, complemented
105#14583199C2211yescharacteristic
106#14583198C2211yescharacteristic, complemented
107#14583198C2211yescharacteristic, complemented
108#14583197C2211yescharacteristic
109#14583194C2211yescharacteristic, complemented
110#14583187C2211yescharacteristic
111#14583184C2211yescharacteristic, complemented
112#14583178C2211yescharacteristic
113#14583154C2211yescharacteristic
114#14583152C2211yescharacteristic
115#14583146C2211yescharacteristic
116#14583145C2211yescharacteristic, complemented
117#14583139C2211yescharacteristic
118#14583137C2211yescharacteristic, complemented
119#14583136C2211yescharacteristic
120#14583135C2211yescharacteristic
121#14583131C2211yescharacteristic
122#14583131C2211yescharacteristic
123#14583131C2211yescharacteristic, complemented
124#14583128C2211yescharacteristic, complemented
125#14583124C2211yescharacteristic, complemented
126#14583123C2211yescharacteristic
127#14583121C2211yescharacteristic
128#14583121C2211yescharacteristic
129#14583117C2211yescharacteristic
130#14583117C2211yescharacteristic
131#14583116C2211yescharacteristic
132#14583116C2211yescharacteristic
133#14583107C2211yescharacteristic, complemented
134#14583103C2211yescharacteristic, complemented
135#14583099C2211yescharacteristic, complemented
136#14583094C2211yescharacteristic
137#14583064C2211yescharacteristic
138#14583060C2211yescharacteristic
139#14583060C2211yescharacteristic, complemented
140#14583058C2211yescharacteristic
141#14583055C2211yescharacteristic, complemented
142#14583048C2211yescharacteristic
143#14583047C2211yescharacteristic
144#14583045C2211yescharacteristic
145#14583044C2211yescharacteristic
146#14583044C2211yescharacteristic
147#14583038C2211yescharacteristic
148#14583034C2211yescharacteristic
149#14583027C2211yescharacteristic, complemented
150C8×Dic86C2211yescharacteristic, complemented
151#14583012C2211yescharacteristic
152#14583010C2211yescharacteristic
153#14583009C2211yescharacteristic
154#14583004C2211yescharacteristic, complemented
155#14583001C2211yescharacteristic, complemented
156#14583000C2211yescharacteristic
157#14582997C2211yescharacteristic
158#14582997C2211yescharacteristic, complemented
159C4×#10621885C2211yescharacteristic, complemented
160#14582991C2211yescharacteristic, complemented
161C4×#10621873C2211yescharacteristic, complemented
162SD16×Dic43C2211yescharacteristic
163C4×#10621884C2211yescharacteristic
164C4×#10621884C2211yescharacteristic, complemented
165#14582986C2211yescharacteristic, complemented
166#14582984C2211yescharacteristic
167C4×D344C2211yescharacteristic
168C4×#10621882C2211yescharacteristic
169#14582979C2211yescharacteristic
170#14582979C2211yescharacteristic
171#14582975C2211yescharacteristic
172#14582972C2211yescharacteristic
173#14582968C2211yescharacteristic, complemented
174C8×D172C2211yescharacteristic
175C8×C22⋊D43C2211yescharacteristic
176C8×C22⋊D43C2211yescharacteristic, complemented
177#14582961C2211yescharacteristic
178#14582960C2211yescharacteristic, complemented
179#14582954C2211yescharacteristic, complemented
180#14582938C2211yescharacteristic
181#14582934C2211yescharacteristic, complemented
182#14582894C2211yescharacteristic
183#14582894C2211yescharacteristic, complemented
184#14582892C2211yescharacteristic
185#102×D43C2211yescharacteristic
186#14582853C2211yescharacteristic
187C4×C8×D43C2211yescharacteristic, complemented
188C2×#137×C43C2211yescharacteristic
189C43×#520C2211yescharacteristic
190C43×#519C2211yescharacteristic, complemented
191C43×#441C2211yescharacteristic, complemented
192C43×#441C2211yescharacteristic, complemented
193C43×#440C2211yescharacteristic
194C43×#440C2211yescharacteristic
195C4×Q16×C43C2211yescharacteristic, complemented
196C4×Q16×C43C2211yescharacteristic, complemented
197C4×SD16×C43C2211yescharacteristic
198C4×SD16×C43C2211yescharacteristic
199C43×#428C2211yescharacteristic, complemented
200C43×#416C2211yescharacteristic
201C2×#103×C43C2211yescharacteristic, complemented
202C43×#405C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C2×D4×D43C2311yescharacteristic
207#13063352—24no—
208#13063346—24no—
209C2×#10621885C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621873C2311yescharacteristic
212C2×#10621873C2311yescharacteristic
213C2×#10621884C2311yescharacteristic
214C2×#10621884C2311yescharacteristic
215C2×#10621884C2311yescharacteristic
216C2×#10621884C2311yescharacteristic
217C2×D344C2311yescharacteristic
218C2×D344C2311yescharacteristic
219C2×#10621882C2311yescharacteristic
220C2×#10621882C2311yescharacteristic
221C2×#10621872C2311yescharacteristic
222C2×C8×D43C2311yescharacteristic
223C2×C8×D43C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225#13063325C2311yescharacteristic
226#13063324—21no—
227#13063324C2311yescharacteristic
228#13063323C2311yescharacteristic
229#13063322—21no—
230#13063322C2311yescharacteristic
231#13063320—21no—
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063320D411yescharacteristic
241#13063319—21no—
242#13063319—21no—
243#13063319—21no—
244#13063319—21no—
245#13063319—21no—
246#13063318D411yescharacteristic
247#13063317—21no—
248#13063317—21no—
249#13063317C2311yescharacteristic
250#13063316—21no—
251#13063316C2311yescharacteristic
252#13063316C2311yescharacteristic
253#13063316C2311yescharacteristic
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063315D411yescharacteristic
258#13063314—21no—
259#13063314—21no—
260#13063314C2311yescharacteristic
261#13063314C2311yescharacteristic
262#13063314C2311yescharacteristic
263#13063313—21no—
264#13063313—21no—
265#13063313—21no—
266#13063313—21no—
267#13063313C2311yescharacteristic
268#13063311—21no—
269#13063311—21no—
270#13063311D411yescharacteristic
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310—21no—
276#13063310—21no—
277#13063310—21no—
278#13063310—21no—
279#13063310—21no—
280#13063310D411yescharacteristic
281#13063309—21no—
282#13063308—21no—
283#13063308—21no—
284#13063308—21no—
285#13063307—21no—
286#13063307—21no—
287#13063307D411yescharacteristic
288#13063306—21no—
289#13063305C2311yescharacteristic
290#13063304—21no—
291#13063304C2311yescharacteristic
292#13063303—21no—
293#13063303—21no—
294#13063303—21no—
295#13063303D411yescharacteristic
296#13063302—21no—
297#13063302—21no—
298#13063301—21no—
299#13063301—21no—
300#13063301C2311yescharacteristic
301#13063301C2311yescharacteristic
302#13063301C2311yescharacteristic
303#13063301C2311yescharacteristic
304#13063300—21no—
305#13063300—21no—
306#13063300C2311yescharacteristic
307#13063300C2311yescharacteristic
308#13063300C2311yescharacteristic
309#13063299—21no—
310#13063299—21no—
311#13063299—21no—
312#13063299—21no—
313#13063299C2311yescharacteristic
314#13063299C2311yescharacteristic
315#13063299C2311yescharacteristic
316#13063298—21no—
317#13063298—21no—
318#13063298—21no—
319#13063298—21no—
320#13063298D411yescharacteristic
321#13063297—21no—
322#13063297—21no—
323#13063295—21no—
324#13063293—21no—
325Q8×Dic43C2311yescharacteristic
326Q8×Dic43C2311yescharacteristic
327C4×Dic86—21no—
328C4×Dic86—21no—
329C4×Dic86C2311yescharacteristic
330C4×Dic86C2311yescharacteristic
331#13063290C2311yescharacteristic
332C4×D172—21no—
333C4×D172—21no—
334C4×D172—21no—
335C4×D172—21no—
336C4×D172—21no—
337C4×D172—21no—
338C4×D172—21no—
339C4×D172C2311yescharacteristic
340C4×D172C2311yescharacteristic
341C4×D172C2311yescharacteristic
342C4×D172C2311yescharacteristic
343D4×Dic43C2311yescharacteristic
344D4×Dic43C2311yescharacteristic
345#13063287—21no—
346#13063287—21no—
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355C4×C22⋊D43C2311yescharacteristic
356C4×C22⋊D43C2311yescharacteristic
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359#13063284—21no—
360#13063283—21no—
361#13063283C2311yescharacteristic
362#13063283C2311yescharacteristic
363#13063283C2311yescharacteristic
364#13063282—21no—
365#13063282—21no—
366#13063282—21no—
367#13063282—21no—
368#13063282—21no—
369#13063282—21no—
370#13063282C2311yescharacteristic
371#13063281—21no—
372C2×C4⋊Dic43—21no—
373C2×Dic43⋊C4—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43C2311yescharacteristic
376C2×(C2×D43)⋊C4—21no—
377C2×(C2×D43)⋊C4—21no—
378C2×(C2×D43)⋊C4—21no—
379C22⋊C4×D43—21no—
380C2×C4×Dic43—21no—
381C42×D43—21no—
382C42×D43C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395C4⋊(C43⋊C8)C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063235C2311yescharacteristic
433C4×C43⋊C8C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C2×#41×C43C2311yescharacteristic
438C22×Q8×C43C2311yescharacteristic
439#137×C43—24no—
440C2×Q16×C43C2311yescharacteristic
441C2×Q16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×M16×C43C2311yescharacteristic
445C22×C8×C43C2311yescharacteristic
446C4×Q8×C43—21no—
447C4×Q8×C43—21no—
448C4×Q8×C43C2311yescharacteristic
449C4×Q8×C43C2311yescharacteristic
450C4×Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×D4×C43—21no—
455C4×D4×C43—21no—
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458#117×C43—21no—
459#117×C43—21no—
460#117×C43—21no—
461#117×C43C2311yescharacteristic
462#117×C43C2311yescharacteristic
463C2×C4⋊C4×C43—21no—
464C2×C4⋊C4×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#97×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482#41×C43—22no—
483#41×C43—41no—
484C2×Q8×C43—21no—
485C2×Q8×C43—22no—
486C2×Q8×C43—41no—
487C2×Q8×C43C2411yescharacteristic
488C2×Q8×C43C2411yescharacteristic
489C2×Q8×C43C2411yescharacteristic
490C2×D4×C43—21no—
491C2×D4×C43C2411yescharacteristic
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43C2411yescharacteristic
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43C2×D411yescharacteristic
504C2×C22⋊D43C2×D411yescharacteristic
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43—21no—
508#10621902—22no—
509#10621902—22no—
510#10621902—41no—
511#10621902—41no—
512#10621900—22no—
513#10621900—41no—
514D4×D43—22no—
515D4×D43—41no—
516C2×D172—21no—
517C2×D172—21no—
518C2×D172—21no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172—21no—
522C2×D172—21no—
523C2×D172C2×D411yescharacteristic
524C2×D172C2411yescharacteristic
525C2×D172C2411yescharacteristic
526C2×D172C2411yescharacteristic
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43C2×D411yescharacteristic
537C2×C4×D43C2×D411yescharacteristic
538C2×C4×D43C2411yescharacteristic
539C2×C4×D43C2411yescharacteristic
540C2×Dic86—21no—
541C2×Dic86—21no—
542C2×Dic86C2×D411yescharacteristic
543C2×Dic86C2411yescharacteristic
544Q16×C43—22no—
545Q16×C43—22no—
546SD16×C43—22no—
547SD16×C43#4114yes—
548M16×C43—22no—
549C2×C8×C43—41no—
550C2×C8×C43C2411yescharacteristic
551C2×C8×C43C2411yescharacteristic
552C2×C8×C43C2411yescharacteristic
553C2×C8×C43C2411yescharacteristic
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43C2×D411yescharacteristic
562C4⋊C4×C43C2×D411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43C2×D411yescharacteristic
571C22⋊C4×C43C2×D411yescharacteristic
572C42×C43—21no—
573C42×C43—21no—
574C42×C43—21no—
575C42×C43—21no—
576C42×C43—21no—
577C42×C43—21no—
578C42×C43—21no—
579C42×C43C2411yescharacteristic
580C42×C43C2411yescharacteristic
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43C2×D411yescharacteristic
585C22⋊Dic43C2×D411yescharacteristic
586#10621885—22no—
587#10621885—41no—
588#10621884—22no—
589#10621884—41no—
590#10621884—41no—
591#10621884—41no—
592#10621882—22no—
593#10621882—22no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4C2×D411yescharacteristic
623(C2×D43)⋊C4C2×D411yescharacteristic
624(C2×D43)⋊C4C2×D411yescharacteristic
625(C2×D43)⋊C4C2×D411yescharacteristic
626(C2×D43)⋊C4C2×D411yescharacteristic
627(C2×D43)⋊C4C2×D411yescharacteristic
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43—21no—
635C4⋊Dic43C2×D411yescharacteristic
636C4⋊Dic43C2×D411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
639C4⋊Dic43C2411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43C2×D411yescharacteristic
671C4×Dic43C2×D411yescharacteristic
672C4×Dic43C2411yescharacteristic
673C4×Dic43C2411yescharacteristic
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678D344—22no—
679D344—41no—
680#10621873—22no—
681#10621873—41no—
682#10621872—22no—
683C8×D43—22no—
684C8×D43—41no—
685C8×D43—41no—
686C23×C43—21no—
687C23×C43C22×D411yescharacteristic
688C22×D43—21no—
689C22×D43—21no—
690C22×D43—21no—
691C22×D43—42no—
692C22×D43—81no—
693C22×D43—81no—
694C22×D43C22×D411yescharacteristic
695C22×D43C22×D411yescharacteristic
696Q8×C43—21no—
697Q8×C43—21no—
698Q8×C43—21no—
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—42no—
702Q8×C43C2×#4112yes—
703D4×C43—21no—
704D4×C43—42no—
705D4×C43C2×#4112yes—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—42no—
716C2×C4×C43—42no—
717C2×C4×C43—81no—
718C2×C4×C43—81no—
719C2×C4×C43—81no—
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C2511yescharacteristic
726C22⋊D43—41no—
727C22⋊D43—41no—
728C22⋊D43—42no—
729C22⋊D43—42no—
730C22⋊D43—81no—
731C22⋊D43—81no—
732C22⋊D43—81no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—42no—
739C2×Dic43—81no—
740C2×Dic43—81no—
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747D172—21no—
748D172—21no—
749D172—21no—
750D172—21no—
751D172—21no—
752D172—21no—
753D172—41no—
754D172—42no—
755D172—42no—
756D172—81no—
757D172—81no—
758D172—81no—
759D172—81no—
760D172—81no—
761C4×D43—21no—
762C4×D43—21no—
763C4×D43—21no—
764C4×D43—21no—
765C4×D43—41no—
766C4×D43—41no—
767C4×D43—42no—
768C4×D43—42no—
769C4×D43—81no—
770C4×D43—81no—
771C4×D43—81no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776Dic86—21no—
777Dic86—21no—
778Dic86—41no—
779Dic86—81no—
780Dic86—81no—
781C8×C43—21no—
782C8×C43—21no—
783C8×C43—21no—
784C8×C43C2×#4112yes—
785C43⋊C8—21no—
786C43⋊C8—21no—
787C43⋊C8—21no—
788C43⋊C8—21no—
789#61500—431nomaximal, Sylow
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—22no—
793C22×C43—21no—
794C22×C43—41no—
795C22×C43—41no—
796C22×C43C23×D411yescharacteristic
797C2×D43—21no—
798C2×D43—21no—
799C2×D43—21no—
800C2×D43—21no—
801C2×D43—21no—
802C2×D43—21no—
803C2×D43—41no—
804C2×D43—41no—
805C2×D43—41no—
806C2×D43—41no—
807C2×D43—41no—
808C2×D43—41no—
809C2×D43—41no—
810C2×D43—41no—
811C2×D43—41no—
812C2×D43—162no—
813C4×C43—21no—
814C4×C43—21no—
815C4×C43—21no—
816C4×C43—21no—
817C4×C43—22no—
818C4×C43—21no—
819C4×C43—41no—
820C4×C43—41no—
821C4×C43—41no—
822C4×C43—41no—
823C4×C43—41no—
824C4×C43—41no—
825C4×C43C22×#4111yescharacteristic
826C4×C43#58511yescharacteristic
827Dic43—21no—
828Dic43—21no—
829Dic43—21no—
830Dic43—21no—
831Dic43—21no—
832Dic43—21no—
833Dic43—41no—
834Dic43—41no—
835Dic43—41no—
836Dic43—41no—
837Dic43—41no—
838#3524—431no—
839#3521—431no—
840#3401—431no—
841#3388—431no—
842#3364—431no—
843#3361—431no—
844#3351—431no—
845#3349—431no—
846#3347—431no—
847#3304—431no—
848#3303—431no—
849#3301—431no—
850#3300—431no—
851#3297—431no—
852#3296—431no—
853#3275—431no—
854#3269—431no—
855#3268—431no—
856#3179—431no—
857#3178—431no—
858#3168—431no—
859#3121—431no—
860#3120—431no—
861#3119—431no—
862#3118—431no—
863#3111—431no—
864#3111—431no—
865#2966—431no—
866#2947D4311yescharacteristic, complemented
867#2946—431no—
868C4×#135—431no—
869C2×C43—42no—
870C2×C43—41no—
871C2×C43D4×#4111yescharacteristic
872C2×C43#358411yescharacteristic
873C2×C43#358411yescharacteristic
874D43—41no—
875D43—41no—
876D43—81no—
877D43—81no—
878D43—81no—
879C2×#137C2×D4311yescharacteristic
880C2×AGL(1,ℤ/8)—431no—
881C2×#135—431no—
882#559—431no—
883#559—861no—
884#557—431no—
885#556—431no—
886#556—431no—
887#555—431no—
888#555—861no—
889#554—431no—
890#553—431no—
891#553—431no—
892#553—861no—
893#553—861no—
894#552—431no—
895#552—431no—
896#552—861no—
897#552—861no—
898#551—861no—
899#551—861no—
900#550—431no—
901#548—431no—
902#548—431no—
903#547—431no—
904#546—431no—
905#546—431no—
906#542—431no—
907#542—431no—
908#542—861no—
909#541—431no—
910#540—431no—
911#540—861no—
912#539—861no—
913#538—861no—
914#529—431no—
915#529—431no—
916#529—431no—
917#529—861no—
918#529—861no—
919#529—861no—
920C2×#126—861no—
921#520—431no—
922#520C2×D4311yescharacteristic
923#519C2×D4311yescharacteristic, complemented
924#518—431no—
925C4×#41—431no—
926C4×#41—431no—
927#501—431no—
928#501—431no—
929#499—431no—
930#497—431no—
931#496—431no—
932#495—431no—
933#488—431no—
934#488—431no—
935#488—431no—
936#488—431no—
937#487—431no—
938#486—431no—
939#485—431no—
940#485—431no—
941#485—431no—
942#485—431no—
943#484—431no—
944#483—431no—
945#482—431no—
946#482—431no—
947#482—431no—
948#482—431no—
949#481—431no—
950#480—431no—
951#479—431no—
952#479—431no—
953#479—431no—
954#479—431no—
955#478—431no—
956#478—431no—
957#478—431no—
958#478—431no—
959#477—431no—
960#476—431no—
961#475—431no—
962#474—431no—
963#470—431no—
964#469—431no—
965#468—431no—
966#468—431no—
967#467—431no—
968#467—431no—
969#466—431no—
970#466—431no—
971#465—431no—
972#465—431no—
973#465—431no—
974#465—431no—
975#464—431no—
976#464—431no—
977#464—431no—
978#464—431no—
979#463—431no—
980#463—431no—
981#463—431no—
982#463—431no—
983#462—431no—
984#461—431no—
985#460—431no—
986#459—431no—
987#452—431no—
988#452—431no—
989#452—431no—
990#452—431no—
991#451—431no—
992#450—431no—
993#449—431no—
994#449—431no—
995#449—431no—
996#449—431no—
997#448—431no—
998#447—431no—
999#446—431no—
1000C8×Q8—431no—
1001#442—431no—
1002#442—431no—
1003#442—431no—
1004#441—431no—
1005#441C2×D4311yescharacteristic, complemented
1006#441C2×D4311yescharacteristic, complemented
1007#440—431no—
1008#440—431no—
1009#440—431no—
1010#440—431no—
1011#440C2×D4311yescharacteristic
1012#440C2×D4311yescharacteristic
1013C4×Q16—431no—
1014C4×Q16—431no—
1015C4×Q16C2×D4311yescharacteristic, complemented
1016C4×Q16C2×D4311yescharacteristic, complemented
1017C4×SD16—431no—
1018C4×SD16—431no—
1019C4×SD16—431no—
1020C4×SD16—431no—
1021C4×SD16—431no—
1022C4×SD16—431no—
1023C4×SD16C2×D4311yescharacteristic
1024C4×SD16C2×D4311yescharacteristic
1025C4×D8—431no—
1026C4×D8—431no—
1027C4×D8—431no—
1028C4×D8—431no—
1029#436—431no—
1030#435—431no—
1031#435—431no—
1032C8×D4—431no—
1033C8×D4—431no—
1034C8×D4—431no—
1035#433—431no—
1036#433—431no—
1037#432—431no—
1038#428—431no—
1039#428C2×D4311yescharacteristic, complemented
1040#427—431no—
1041#416—431no—
1042#416—431no—
1043#416—431no—
1044#416C2×D4311yescharacteristic
1045C2×#103C2×D4311yescharacteristic, complemented
1046C2×#102—431no—
1047#405—431no—
1048#405C2×D4311yescharacteristic, complemented
1049C2×C4×C8—431no—
1050C43#6150011yescharacteristic, complemented, Sylow
1051C2×#41—431no—
1052C2×#41—431no—
1053C2×#41—431no—
1054C2×#41C22×D4311yescharacteristic
1055C22×Q8C22×D4311yescharacteristic
1056C22×D4—431no—
1057#137—24no—
1058AGL(1,ℤ/8)—864no—
1059#135—864no—
1060C2×Q16—431no—
1061C2×Q16—431no—
1062C2×Q16C22×D4311yescharacteristic
1063C2×Q16C22×D4311yescharacteristic
1064C2×SD16—431no—
1065C2×SD16—431no—
1066C2×SD16—431no—
1067C2×SD16—431no—
1068C2×SD16—431no—
1069C2×SD16—431no—
1070C2×SD16C22×D4311yescharacteristic
1071C2×SD16C22×D4311yescharacteristic
1072C2×D8—431no—
1073C2×D8—431no—
1074C2×D8—431no—
1075C2×D8—431no—
1076C2×M16—431no—
1077C2×M16C22×D4311yescharacteristic
1078C22×C8—431no—
1079C22×C8—431no—
1080C22×C8—431no—
1081C22×C8C22×D4311yescharacteristic
1082C4⋊Q8—431no—
1083C4⋊Q8—431no—
1084C4⋊Q8—431no—
1085C4⋊Q8—861no—
1086#127—431no—
1087#127—861no—
1088#126—431no—
1089#126—431no—
1090#126—861no—
1091#126—861no—
1092#126—861no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#125—431no—
1105#125—431no—
1106#125—431no—
1107#125—431no—
1108#125—431no—
1109#125—861no—
1110#125—861no—
1111#125—861no—
1112#125—861no—
1113#125—861no—
1114#125—861no—
1115#124—431no—
1116#124—431no—
1117#124—431no—
1118#124—431no—
1119#124—431no—
1120#124—861no—
1121#124—861no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#123—431no—
1129#123—431no—
1130#123—861no—
1131#123—861no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146C22⋊Q8—431no—
1147C22⋊Q8—431no—
1148C22⋊Q8—431no—
1149C22⋊Q8—431no—
1150C22⋊Q8—431no—
1151C22⋊Q8—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161#121—431no—
1162#121—431no—
1163#121—431no—
1164#121—431no—
1165#121—431no—
1166#121—431no—
1167#121—431no—
1168#121—861no—
1169#121—861no—
1170#121—861no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121—861no—
1179#121—861no—
1180#120—861no—
1181#120—861no—
1182C4×Q8—21no—
1183C4×Q8—21no—
1184C4×Q8—431no—
1185C4×Q8—431no—
1186C4×Q8—431no—
1187C4×Q8—431no—
1188C4×Q8—431no—
1189C4×Q8—861no—
1190C4×Q8—861no—
1191C4×Q8C22×D4311yescharacteristic
1192C4×Q8C22×D4311yescharacteristic
1193C4×Q8C22×D4311yescharacteristic
1194C4×Q8C22×D4311yescharacteristic
1195C4×Q8C22×D4311yescharacteristic
1196C4×Q8C22×D4311yescharacteristic
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—431no—
1200C4×D4—431no—
1201C4×D4—431no—
1202C4×D4—431no—
1203C4×D4—431no—
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4C22×D4311yescharacteristic
1227C4×D4C22×D4311yescharacteristic
1228#117—21no—
1229#117—21no—
1230#117—21no—
1231#117—431no—
1232#117—431no—
1233#117—431no—
1234#117—431no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117—861no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243#117—861no—
1244#117C22×D4311yescharacteristic
1245#117C22×D4311yescharacteristic
1246C2×C4⋊C4—21no—
1247C2×C4⋊C4—431no—
1248C2×C4⋊C4—861no—
1249C2×C4⋊C4—861no—
1250C2×C4⋊C4—861no—
1251C2×C4⋊C4C22×D4311yescharacteristic
1252C2×C22⋊C4—861no—
1253C2×C22⋊C4—861no—
1254C2×C22⋊C4—861no—
1255C2×C22⋊C4—861no—
1256C2×C42—431no—
1257C2×C42—861no—
1258C2×C42—861no—
1259#107—431no—
1260#107—431no—
1261#107—431no—
1262#107—431no—
1263#107—431no—
1264#107—431no—
1265#107C22×D4311yescharacteristic
1266#107C22×D4311yescharacteristic
1267#106—431no—
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106—431no—
1272#106—431no—
1273#106C22×D4311yescharacteristic
1274#106C22×D4311yescharacteristic
1275C4⋊C8—431no—
1276C4⋊C8—431no—
1277C4⋊C8—431no—
1278C4⋊C8—431no—
1279C4⋊C8—431no—
1280C4⋊C8—431no—
1281#103—431no—
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103—431no—
1286#103—431no—
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103C22×D4311yescharacteristic
1292#103C22×D4311yescharacteristic
1293#103C22×D4311yescharacteristic
1294#103C22×D4311yescharacteristic
1295#103C22×D4311yescharacteristic
1296#103C22×D4311yescharacteristic
1297#102—431no—
1298#102—431no—
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102C22×D4311yescharacteristic
1312#102C22×D4311yescharacteristic
1313C22⋊C8—431no—
1314C22⋊C8—431no—
1315C22⋊C8—431no—
1316C22⋊C8—431no—
1317C22⋊C8—431no—
1318C22⋊C8—431no—
1319#97—431no—
1320#97—431no—
1321#97C22×D4311yescharacteristic
1322#97C22×D4311yescharacteristic
1323C4×C8—431no—
1324C4×C8—431no—
1325C4×C8—431no—
1326C4×C8—431no—
1327C4×C8C22×D4311yescharacteristic
1328C4×C8C22×D4311yescharacteristic
1329C24—861no—
1330#41—22no—
1331#41—41no—
1332#41—862no—
1333#41—862no—
1334#41—862no—
1335#41—1721no—
1336#41—1721no—
1337#41—1721no—
1338C2×Q8—21no—
1339C2×Q8—22no—
1340C2×Q8—41no—
1341C2×Q8—431no—
1342C2×Q8—431no—
1343C2×Q8—861no—
1344C2×Q8—861no—
1345C2×Q8C23×D4311yescharacteristic
1346C2×Q8C23×D4311yescharacteristic
1347C2×Q8C23×D4311yescharacteristic
1348C2×D4—21no—
1349C2×D4—431no—
1350C2×D4—431no—
1351C2×D4—431no—
1352C2×D4—431no—
1353C2×D4—431no—
1354C2×D4—431no—
1355C2×D4—861no—
1356C2×D4—861no—
1357C2×D4—861no—
1358C2×D4—861no—
1359C2×D4—861no—
1360C2×D4—861no—
1361C2×D4—862no—
1362C2×D4—861no—
1363C2×D4—861no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—1721no—
1369C2×D4C23×D4311yescharacteristic
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—431no—
1376C22×C4—431no—
1377C22×C4—431no—
1378C22×C4—431no—
1379C22×C4—861no—
1380C22×C4—861no—
1381C22×C4—861no—
1382C22×C4—861no—
1383C22×C4—861no—
1384C22×C4—861no—
1385C22×C4—861no—
1386C22×C4—861no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4—861no—
1390C22×C4—861no—
1391C22×C4C23×D4311yescharacteristic
1392Q16—22no—
1393Q16—22no—
1394Q16—862no—
1395Q16—1721no—
1396SD16—22no—
1397SD16—862no—
1398SD16—862no—
1399SD16—1721no—
1400SD16—1721no—
1401SD16—1721no—
1402SD16—1721no—
1403SD16#1062189814yes—
1404D8—862no—
1405D8—862no—
1406D8—862no—
1407D8—1721no—
1408M16—22no—
1409M16—862no—
1410C2×C8—41no—
1411C2×C8—431no—
1412C2×C8—431no—
1413C2×C8—431no—
1414C2×C8—431no—
1415C2×C8—862no—
1416C2×C8—1721no—
1417C2×C8—1721no—
1418C2×C8C23×D4311yescharacteristic
1419C2×C8C23×D4311yescharacteristic
1420C2×C8C23×D4311yescharacteristic
1421C2×C8C23×D4311yescharacteristic
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—431no—
1430C4⋊C4—431no—
1431C4⋊C4—431no—
1432C4⋊C4—431no—
1433C4⋊C4—431no—
1434C4⋊C4—431no—
1435C4⋊C4—431no—
1436C4⋊C4—431no—
1437C4⋊C4—431no—
1438C4⋊C4—431no—
1439C4⋊C4—431no—
1440C4⋊C4—431no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4D4×D4311yescharacteristic
1465C4⋊C4D4×D4311yescharacteristic
1466C4⋊C4C23×D4311yescharacteristic
1467C4⋊C4C23×D4311yescharacteristic
1468C4⋊C4C23×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—431no—
1474C22⋊C4—431no—
1475C22⋊C4—431no—
1476C22⋊C4—431no—
1477C22⋊C4—431no—
1478C22⋊C4—431no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4D4×D4311yescharacteristic
1513C22⋊C4D4×D4311yescharacteristic
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42—21no—
1521C42—431no—
1522C42—431no—
1523C42—431no—
1524C42—431no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42—861no—
1530C42—861no—
1531C42—861no—
1532C42C23×D4311yescharacteristic
1533C42C23×D4311yescharacteristic
1534C23—21no—
1535C23—431no—
1536C23—431no—
1537C23—861no—
1538C23—861no—
1539C23—861no—
1540C23—3441no—
1541C23—3441no—
1542C23—1722no—
1543C23C2×D4×D4311yescharacteristic
1544Q8—21no—
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—42no—
1550Q8—861no—
1551Q8—861no—
1552Q8—3441no—
1553Q8—3441no—
1554Q8—1721no—
1555Q8C2×#1062189812yes—
1556D4—21no—
1557D4—42no—
1558D4—861no—
1559D4—861no—
1560D4—861no—
1561D4—861no—
1562D4—861no—
1563D4—861no—
1564D4—3441no—
1565D4—3441no—
1566D4—3441no—
1567D4—3441no—
1568D4—3441no—
1569D4—3441no—
1570D4—3441no—
1571D4—3441no—
1572D4—1721no—
1573D4—1722no—
1574D4—1722no—
1575D4—1721no—
1576D4—1721no—
1577D4—1722no—
1578D4—1722no—
1579D4C2×#1062189812yes—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—42no—
1590C2×C4—42no—
1591C2×C4—81no—
1592C2×C4—81no—
1593C2×C4—81no—
1594C2×C4—431no—
1595C2×C4—431no—
1596C2×C4—431no—
1597C2×C4—431no—
1598C2×C4—431no—
1599C2×C4—431no—
1600C2×C4—861no—
1601C2×C4—861no—
1602C2×C4—861no—
1603C2×C4—861no—
1604C2×C4—861no—
1605C2×C4—861no—
1606C2×C4—861no—
1607C2×C4—861no—
1608C2×C4—861no—
1609C2×C4—3441no—
1610C2×C4—3441no—
1611C2×C4—3441no—
1612C2×C4—3441no—
1613C2×C4—3441no—
1614C2×C4—3441no—
1615C2×C4—3441no—
1616C2×C4—3441no—
1617C2×C4—3441no—
1618C2×C4—1721no—
1619C2×C4—1721no—
1620C2×C4—1722no—
1621C2×C4—1722no—
1622C2×C4—1722no—
1623C2×C4C2×D4×D4311yescharacteristic
1624C2×C4C2×D4×D4311yescharacteristic
1625C2×C4C2×D4×D4311yescharacteristic
1626C2×C4C2×D4×D4311yescharacteristic
1627C2×C4C2×D4×D4311yescharacteristic
1628C2×C4C24×D4311yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—861no—
1633C8—861no—
1634C8—861no—
1635C8—861no—
1636C8C2×#1062189812yes—
1637C22—21no—
1638C22—22no—
1639C22—21no—
1640C22—21no—
1641C22—41no—
1642C22—41no—
1643C22—861no—
1644C22—861no—
1645C22—861no—
1646C22—861no—
1647C22—861no—
1648C22—861no—
1649C22—1721no—
1650C22—1721no—
1651C22—1721no—
1652C22—1721no—
1653C22—1721no—
1654C22—1721no—
1655C22—1721no—
1656C22—1721no—
1657C22—1721no—
1658C22—6882no—
1659C22C22×D4×D4311yescharacteristic
1660C4—21no—
1661C4—22no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—861no—
1673C4—861no—
1674C4—861no—
1675C4—861no—
1676C4—861no—
1677C4—861no—
1678C4—1721no—
1679C4—1721no—
1680C4—1721no—
1681C4—1721no—
1682C4—1721no—
1683C4C22×#1062189811yescharacteristic
1684C4#1458373511yescharacteristic
1685C2—41no—
1686C2—42no—
1687C2—3441no—
1688C2—3441no—
1689C2—3441no—
1690C2—1721no—
1691C2—1721no—
1692C2D4×#1062189811yescharacteristic
1693C2#1914936511yescharacteristic
1694C2#1914936711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#2947C2
socleC22×C43C23×D4
hypercenter#2947D43
hypocenterC43#61500
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #2947

Complements

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

NH ≅ G/Ntype
1. #19148706C2semidirect
2. #19148665C2semidirect
3. #19147662C2semidirect
4. #19147545C2semidirect
5. #19147281C2semidirect
6. #19147253C2semidirect
7. #19147151C2semidirect
8. #19147130C2semidirect
9. #19147096C2semidirect
10. #19146536C2semidirect
11. #19146519C2semidirect
12. #19146493C2semidirect
13. #19146478C2semidirect
14. #19146446C2semidirect
15. #19146435C2semidirect
16. #19146220C2semidirect
17. #19146144C2semidirect
18. #19146137C2semidirect
19. #19145278C2semidirect
20. #19145267C2semidirect
21. #19145168C2semidirect
22. #19144824C2semidirect
23. #19144807C2semidirect
24. #19144794C2semidirect
25. #19144783C2semidirect
26. #19144710C2semidirect
27. #19144708C2semidirect
28. #19143566C2semidirect
29. #19143422C2semidirect
30. C4×#13063346C2semidirect
31. C43×#2947C2semidirect
35. #14583634C22semidirect
36. #14583625C22semidirect
40. #14583612C22semidirect
54. #14583560C22semidirect
63. #14583504C22semidirect
68. #14583436C22semidirect
75. C4×#10621902C22semidirect
77. #14583308C22semidirect
78. #14583307C22semidirect
79. #14583300C22semidirect
80. #14583292C22semidirect
84. #14583255C22semidirect
85. #14583255C22semidirect
87. #14583248C22semidirect
88. #14583246C22semidirect
89. #14583240C22semidirect
90. #14583239C22semidirect
92. #14583238C22semidirect
96. #14583226C22semidirect
99. #14583217C22semidirect
100. #14583212C22semidirect
101. #14583208C22semidirect
102. #14583206C22semidirect
103. #14583205C22semidirect
104. #14583204C22semidirect
106. #14583198C22semidirect
107. #14583198C22semidirect
109. #14583194C22semidirect
111. #14583184C22semidirect
116. #14583145C22semidirect
118. #14583137C22semidirect
123. #14583131C22semidirect
124. #14583128C22semidirect
125. #14583124C22semidirect
133. #14583107C22semidirect
134. #14583103C22semidirect
135. #14583099C22semidirect
139. #14583060C22semidirect
141. #14583055C22semidirect
149. #14583027C22semidirect
150. C8×Dic86C22semidirect
154. #14583004C22semidirect
155. #14583001C22semidirect
158. #14582997C22semidirect
159. C4×#10621885C22semidirect
160. #14582991C22semidirect
161. C4×#10621873C22semidirect
164. C4×#10621884C22semidirect
165. #14582986C22semidirect
173. #14582968C22semidirect
176. C8×C22⋊D43C22semidirect
178. #14582960C22semidirect
179. #14582954C22semidirect
181. #14582934C22semidirect
183. #14582894C22semidirect
187. C4×C8×D43C22semidirect
190. C43×#519C22semidirect
191. C43×#441C22semidirect
192. C43×#441C22semidirect
195. C4×Q16×C43C22semidirect
196. C4×Q16×C43C22semidirect
199. C43×#428C22semidirect
201. C2×#103×C43C22semidirect
202. C43×#405C22semidirect
866. #2947D43semidirect
923. #519C2×D43semidirect
1005. #441C2×D43semidirect
1006. #441C2×D43semidirect
1015. C4×Q16C2×D43semidirect
1016. C4×Q16C2×D43semidirect
1039. #428C2×D43semidirect
1045. C2×#103C2×D43semidirect
1048. #405C2×D43semidirect
1050. C43#61500semidirect

Maximal subgroups

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

subgroupindex
#191487062
#191486652
#191476622
#191475452
#191472812
#191472532
#191471512
#191471302
#191470962
#191465362
#191465192
#191464932
#191464782
#191464462
#191464352
#191462202
#191461442
#191461372
#191452782
#191452672
#191451682
#191448242
#191448072
#191447942
#191447832
#191447102
#191447082
#191435662
#191434222
C4×#130633462
C43×#29472
#6150043