Finite Group Databasebeta

← #25979854

Subgroups — #25979854

Order 11008.

1826 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148707C211yesmaximal, characteristic, complemented
2#19148643C211yesmaximal, characteristic, complemented
3#19147661C211yesmaximal, characteristic, complemented
4#19147512C211yesmaximal, characteristic, complemented
5#19147389C211yesmaximal, characteristic, complemented
6#19147218C211yesmaximal, characteristic, complemented
7#19147062C211yesmaximal, characteristic, complemented
8#19147057C211yesmaximal, characteristic, complemented
9#19146935C211yesmaximal, characteristic, complemented
10#19146810C211yesmaximal, characteristic, complemented
11#19146750C211yesmaximal, characteristic, complemented
12#19146711C211yesmaximal, characteristic, complemented
13#19146591C211yesmaximal, characteristic, complemented
14#19146570C211yesmaximal, characteristic, complemented
15#19146221C211yesmaximal, characteristic, complemented
16#19146145C211yesmaximal, characteristic, complemented
17#19146130C211yesmaximal, characteristic, complemented
18#19145277C211yesmaximal, characteristic, complemented
19#19145233C211yesmaximal, characteristic, complemented
20#19145200C211yesmaximal, characteristic, complemented
21#19144871C211yesmaximal, characteristic, complemented
22#19144864C211yesmaximal, characteristic, complemented
23#19144821C211yesmaximal, characteristic, complemented
24#19144801C211yesmaximal, characteristic, complemented
25#19144756C211yesmaximal, characteristic, complemented
26#19144738C211yesmaximal, characteristic, complemented
27#19143579C211yesmaximal, characteristic, complemented
28#19143475C211yesmaximal, characteristic, complemented
29#19143433C211yesmaximal, characteristic, complemented
30#19143400C211yesmaximal, characteristic, complemented
31C43×#3377C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063352C2211yescharacteristic
34C2×#13063348C2211yescharacteristic
35#14583634—21no—
36#14583634C2211yescharacteristic, complemented
37#14583615—21no—
38#14583615C2211yescharacteristic
39#14583609C2211yescharacteristic
40#14583609C2211yescharacteristic
41#14583602—21no—
42#14583602C2211yescharacteristic, complemented
43#14583588—21no—
44#14583587—21no—
45#14583587C2211yescharacteristic
46#14583574—21no—
47#14583574—21no—
48#14583571C2211yescharacteristic
49Q8×D172C2211yescharacteristic
50#14583561C2211yescharacteristic
51#14583561C2211yescharacteristic, complemented
52#14583559—21no—
53#14583554C2211yescharacteristic
54#14583552C2211yescharacteristic
55#14583542C2211yescharacteristic
56#14583542C2211yescharacteristic
57#14583523—21no—
58#14583523C2211yescharacteristic, complemented
59#14583518C2211yescharacteristic
60#14583518C2211yescharacteristic
61#14583505—21no—
62#14583505C2211yescharacteristic, complemented
63#14583490—21no—
64#14583490—21no—
65#14583454C2211yescharacteristic
66#14583436—21no—
67#14583436C2211yescharacteristic
68#14583434—21no—
69#14583434C2211yescharacteristic
70#14583411—21no—
71C22⋊Q8×D43—21no—
72#14583381C2211yescharacteristic
73#14583381C2211yescharacteristic
74#14583381C2211yescharacteristic, complemented
75#14583375C2211yescharacteristic, complemented
76C4×#10621902C2211yescharacteristic
77C4×D4×D43C2211yescharacteristic
78#14583309C2211yescharacteristic, complemented
79#14583309C2211yescharacteristic, complemented
80#14583302C2211yescharacteristic, complemented
81#14583291C2211yescharacteristic, complemented
82#14583289C2211yescharacteristic
83#14583281C2211yescharacteristic
84#14583259C2211yescharacteristic, complemented
85#14583259C2211yescharacteristic, complemented
86#14583246C2211yescharacteristic, complemented
87#14583238C2211yescharacteristic
88#14583238C2211yescharacteristic
89#14583238C2211yescharacteristic, complemented
90#14583236C2211yescharacteristic, complemented
91#14583231C2211yescharacteristic
92#14583228C2211yescharacteristic, complemented
93#14583222C2211yescharacteristic
94#14583219C2211yescharacteristic, complemented
95#14583216C2211yescharacteristic
96#14583214C2211yescharacteristic
97#14583214C2211yescharacteristic, complemented
98#14583214C2211yescharacteristic, complemented
99#14583196C2211yescharacteristic
100#14583196C2211yescharacteristic
101#14583194C2211yescharacteristic, complemented
102#14583194C2211yescharacteristic, complemented
103#14583190C2211yescharacteristic, complemented
104#14583190C2211yescharacteristic, complemented
105#14583185C2211yescharacteristic, complemented
106#14583184C2211yescharacteristic, complemented
107#14583176C2211yescharacteristic
108#14583156C2211yescharacteristic
109#14583156C2211yescharacteristic
110#14583151C2211yescharacteristic
111#14583148C2211yescharacteristic
112#14583148C2211yescharacteristic
113#14583148C2211yescharacteristic, complemented
114#14583148C2211yescharacteristic, complemented
115#14583144C2211yescharacteristic
116#14583139C2211yescharacteristic, complemented
117#14583134C2211yescharacteristic
118#14583134C2211yescharacteristic
119#14583131C2211yescharacteristic, complemented
120#14583121C2211yescharacteristic, complemented
121#14583118C2211yescharacteristic
122#14583115C2211yescharacteristic
123#14583115C2211yescharacteristic
124#14583114C2211yescharacteristic
125#14583111C2211yescharacteristic
126#14583101C2211yescharacteristic, complemented
127#14583099C2211yescharacteristic, complemented
128#14583095C2211yescharacteristic
129#14583064C2211yescharacteristic
130#14583060C2211yescharacteristic
131#14583060C2211yescharacteristic
132#14583060C2211yescharacteristic, complemented
133#14583053C2211yescharacteristic, complemented
134#14583051C2211yescharacteristic
135#14583047C2211yescharacteristic
136#14583047C2211yescharacteristic
137#14583047C2211yescharacteristic
138#14583043C2211yescharacteristic
139#14583036C2211yescharacteristic
140#14583034C2211yescharacteristic
141#14583030C2211yescharacteristic, complemented
142#14583012C2211yescharacteristic
143#14583012C2211yescharacteristic
144#14583010C2211yescharacteristic
145#14583009C2211yescharacteristic
146#14583008C2211yescharacteristic
147#14583006C2211yescharacteristic, complemented
148#14583006C2211yescharacteristic, complemented
149#14583004C2211yescharacteristic, complemented
150#14583002C2211yescharacteristic, complemented
151#14583002C2211yescharacteristic, complemented
152#14582998C2211yescharacteristic
153#14582997C2211yescharacteristic
154#14582997C2211yescharacteristic
155#14582996C2211yescharacteristic
156#14582991C2211yescharacteristic, complemented
157#14582991C2211yescharacteristic, complemented
158C4×#10621873C2211yescharacteristic
159SD16×Dic43C2211yescharacteristic
160C4×#10621884C2211yescharacteristic
161C4×#10621884C2211yescharacteristic, complemented
162#14582984C2211yescharacteristic
163#14582984C2211yescharacteristic, complemented
164#14582984C2211yescharacteristic, complemented
165#14582981C2211yescharacteristic
166#14582979C2211yescharacteristic
167#14582978C2211yescharacteristic
168#14582976C2211yescharacteristic
169#14582972C2211yescharacteristic
170#14582972C2211yescharacteristic, complemented
171#14582969C2211yescharacteristic
172#14582969C2211yescharacteristic, complemented
173#14582959C2211yescharacteristic, complemented
174#14582959C2211yescharacteristic, complemented
175#14582955C2211yescharacteristic
176#14582940C2211yescharacteristic
177#14582940C2211yescharacteristic, complemented
178#106×D43C2211yescharacteristic, complemented
179#14582902C2211yescharacteristic
180#14582899C2211yescharacteristic
181#14582899C2211yescharacteristic
182#14582899C2211yescharacteristic, complemented
183#14582894C2211yescharacteristic
184#103×D43C2211yescharacteristic, complemented
185#14582856C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187#14582851C2211yescharacteristic
188C43×#557C2211yescharacteristic, complemented
189C43×#556C2211yescharacteristic
190C43×#491C2211yescharacteristic, complemented
191C43×#489C2211yescharacteristic
192C43×#488C2211yescharacteristic
193C43×#479C2211yescharacteristic, complemented
194C43×#478C2211yescharacteristic
195C43×#477C2211yescharacteristic, complemented
196C43×#464C2211yescharacteristic
197C43×#464C2211yescharacteristic
198C43×#462C2211yescharacteristic, complemented
199C43×#446C2211yescharacteristic, complemented
200C43×#441C2211yescharacteristic, complemented
201C43×#440C2211yescharacteristic
202C4×Q16×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621902C2311yescharacteristic
206C2×#10621902C2311yescharacteristic
207C2×#10621898—21no—
208C2×Q8×D43—21no—
209C2×Q8×D43C2311yescharacteristic
210C2×D4×D43C2311yescharacteristic
211C22×C4×D43—21no—
212#13063357—24no—
213#13063352—24no—
214#13063348—24no—
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×D344C2311yescharacteristic
225C2×D344C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621872C2311yescharacteristic
229C2×#10621872C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×C8×D43C2311yescharacteristic
233C2×C8×D43C2311yescharacteristic
234#13063325C2311yescharacteristic
235#13063325C2311yescharacteristic
236#13063325C2311yescharacteristic
237#13063322—21no—
238#13063322C2311yescharacteristic
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320D411yescharacteristic
244#13063320D411yescharacteristic
245#13063318—21no—
246#13063318—21no—
247#13063317—21no—
248#13063317—21no—
249#13063316—21no—
250#13063316—21no—
251#13063316D411yescharacteristic
252#13063314—21no—
253#13063314—21no—
254#13063314—21no—
255#13063314—21no—
256#13063314D411yescharacteristic
257#13063313—21no—
258#13063313—21no—
259#13063313C2311yescharacteristic
260#13063313C2311yescharacteristic
261#13063311—21no—
262#13063311—21no—
263#13063310—21no—
264#13063310—21no—
265#13063310—21no—
266#13063310—21no—
267#13063310—21no—
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310D411yescharacteristic
274#13063310D411yescharacteristic
275#13063309—21no—
276#13063309—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063305—21no—
282#13063305—21no—
283#13063305—21no—
284#13063305—21no—
285#13063305—21no—
286#13063305—21no—
287#13063305C2311yescharacteristic
288#13063305C2311yescharacteristic
289#13063304—21no—
290#13063303—21no—
291#13063303—21no—
292#13063303—21no—
293#13063303—21no—
294#13063302—21no—
295#13063302—21no—
296#13063301—21no—
297#13063301D411yescharacteristic
298#13063301C2311yescharacteristic
299#13063301C2311yescharacteristic
300#13063301C2311yescharacteristic
301#13063301C2311yescharacteristic
302#13063300—21no—
303#13063300—21no—
304#13063300—21no—
305#13063300—21no—
306#13063300—21no—
307#13063300—21no—
308#13063300—21no—
309#13063300—21no—
310#13063300—21no—
311#13063300D411yescharacteristic
312#13063300C2311yescharacteristic
313#13063300C2311yescharacteristic
314#13063300C2311yescharacteristic
315#13063300C2311yescharacteristic
316#13063298—21no—
317#13063298—21no—
318#13063296C2311yescharacteristic
319#13063296C2311yescharacteristic
320#13063295—21no—
321#13063295—21no—
322Q8×Dic43C2311yescharacteristic
323Q8×Dic43C2311yescharacteristic
324Q8×Dic43C2311yescharacteristic
325C4×Dic86—21no—
326C4×Dic86C2311yescharacteristic
327#13063290—21no—
328#13063290—21no—
329#13063290C2311yescharacteristic
330C4×D172—21no—
331C4×D172—21no—
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
343C4×D172C2311yescharacteristic
344C4×D172C2311yescharacteristic
345C4×D172C2311yescharacteristic
346C4×D172C2311yescharacteristic
347D4×Dic43C2311yescharacteristic
348#13063287—21no—
349#13063287—21no—
350#13063287—21no—
351#13063287—21no—
352#13063287—21no—
353#13063287—21no—
354#13063287—21no—
355#13063287C2311yescharacteristic
356#13063287C2311yescharacteristic
357#13063287C2311yescharacteristic
358C4×C22⋊D43—21no—
359(C22⋊D43)⋊C4—21no—
360#13063283—21no—
361#13063283—21no—
362#13063283—21no—
363#13063283—21no—
364#13063283—21no—
365#13063283—21no—
366#13063283C2311yescharacteristic
367#13063283C2311yescharacteristic
368#13063282—21no—
369#13063282—21no—
370#13063282—21no—
371#13063282—21no—
372#13063282C2311yescharacteristic
373#13063282C2311yescharacteristic
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43—21no—
377C4⋊C4×D43—21no—
378C4⋊C4×D43C2311yescharacteristic
379C4⋊C4×D43C2311yescharacteristic
380C4⋊C4×D43C2311yescharacteristic
381C4⋊C4×D43C2311yescharacteristic
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C22⋊C4×D43—21no—
385C42×D43—21no—
386C42×D43C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063257C2311yescharacteristic
395#13063257C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398#13063256C2311yescharacteristic
399#13063256C2311yescharacteristic
400C4⋊(C43⋊C8)C2311yescharacteristic
401C4⋊(C43⋊C8)C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063236C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×Q16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C4⋊Q8×C43—21no—
442C4⋊Q8×C43C2311yescharacteristic
443C4⋊Q8×C43C2311yescharacteristic
444#126×C43—21no—
445#126×C43—21no—
446#125×C43—21no—
447#125×C43—21no—
448#125×C43C2311yescharacteristic
449#125×C43C2311yescharacteristic
450#124×C43C2311yescharacteristic
451#124×C43C2311yescharacteristic
452C22⋊Q8×C43—21no—
453C4×Q8×C43—21no—
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×Q8×C43C2311yescharacteristic
457C4×Q8×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×Q8×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461#117×C43—21no—
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#106×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466C4⋊C8×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#103×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#102×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479#97×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C2×Q8×C43—21no—
483C2×Q8×C43C2×D411yescharacteristic
484C2×Q8×C43C2411yescharacteristic
485C2×Q8×C43C2411yescharacteristic
486C2×Q8×C43C2411yescharacteristic
487C2×D4×C43C2411yescharacteristic
488C22×C4×C43—21no—
489C2×C22⋊D43—21no—
490C2×C22⋊D43—21no—
491C2×C22⋊D43—21no—
492C22×Dic43—21no—
493#10621902—22no—
494#10621902—22no—
495#10621902—22no—
496#10621902—22no—
497#10621902—41no—
498#10621902—41no—
499#10621902—41no—
500#10621902—41no—
501Q8×D43—22no—
502Q8×D43—41no—
503Q8×D43—82no—
504D4×D43—22no—
505D4×D43—41no—
506#10621898—82no—
507C2×D172—21no—
508C2×D172—21no—
509C2×D172—21no—
510C2×D172—21no—
511C2×D172—21no—
512C2×D172—21no—
513C2×D172—21no—
514C2×D172—21no—
515C2×D172—21no—
516C2×D172—21no—
517C2×D172C2×D411yescharacteristic
518C2×D172C2×D411yescharacteristic
519C2×D172C2×D411yescharacteristic
520C2×D172C2411yescharacteristic
521C2×D172C2411yescharacteristic
522C2×D172C2411yescharacteristic
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
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×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43—82no—
541C2×C4×D43C2×D411yescharacteristic
542C2×C4×D43C2×D411yescharacteristic
543C2×C4×D43C2411yescharacteristic
544C2×C4×D43C2411yescharacteristic
545C2×C4×D43C2411yescharacteristic
546C2×Dic86—21no—
547C2×Dic86—21no—
548C2×Dic86—21no—
549C2×Dic86—21no—
550C2×Dic86C2411yescharacteristic
551Q16×C43—22no—
552Q16×C43—22no—
553SD16×C43—22no—
554C2×C8×C43C2411yescharacteristic
555C2×C8×C43C2411yescharacteristic
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43—21no—
569C4⋊C4×C43—21no—
570C4⋊C4×C43C2×D411yescharacteristic
571C4⋊C4×C43C2×D411yescharacteristic
572C4⋊C4×C43C2×D411yescharacteristic
573C4⋊C4×C43C2411yescharacteristic
574C4⋊C4×C43C2411yescharacteristic
575C4⋊C4×C43C2411yescharacteristic
576C4⋊C4×C43C2411yescharacteristic
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C22⋊C4×C43—21no—
582C42×C43—21no—
583C42×C43—21no—
584C42×C43—21no—
585C42×C43—21no—
586C42×C43—21no—
587C42×C43C2411yescharacteristic
588C42×C43C2411yescharacteristic
589C42×C43C2411yescharacteristic
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593#10621885—22no—
594#10621885—41no—
595#10621884—22no—
596#10621884—41no—
597#10621884—41no—
598#10621884—41no—
599#10621884#4114yescomplemented
600#10621883—41no—
601#10621882—22no—
602#10621882—41no—
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)⋊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)⋊C4C2×D411yescharacteristic
628(C2×D43)⋊C4C2×D411yescharacteristic
629(C2×D43)⋊C4C2×D411yescharacteristic
630(C2×D43)⋊C4C2×D411yescharacteristic
631(C2×D43)⋊C4C2×D411yescharacteristic
632(C2×D43)⋊C4C2×D411yescharacteristic
633(C2×D43)⋊C4C2×D411yescharacteristic
634(C2×D43)⋊C4C2×D411yescharacteristic
635(C2×D43)⋊C4C2×D411yescharacteristic
636(C2×D43)⋊C4C2×D411yescharacteristic
637C4⋊Dic43—21no—
638C4⋊Dic43—21no—
639C4⋊Dic43—21no—
640C4⋊Dic43—21no—
641C4⋊Dic43—21no—
642C4⋊Dic43—21no—
643C4⋊Dic43—21no—
644C4⋊Dic43—21no—
645C4⋊Dic43C2×D411yescharacteristic
646C4⋊Dic43C2×D411yescharacteristic
647C4⋊Dic43C2×D411yescharacteristic
648C4⋊Dic43C2411yescharacteristic
649C4⋊Dic43C2411yescharacteristic
650C4⋊Dic43C2411yescharacteristic
651C4⋊Dic43C2411yescharacteristic
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680D344—22no—
681D344—22no—
682#10621873—22no—
683#10621872—22no—
684#10621872—22no—
685#10621872—41no—
686#10621872—41no—
687C8×D43—22no—
688C8×D43—41no—
689C23×C43—21no—
690C22×D43—21no—
691C22×D43—21no—
692C22×D43—21no—
693C22×D43—42no—
694C22×D43—42no—
695C22×D43—81no—
696C22×D43C22×D411yescharacteristic
697C22×D43C22×D411yescharacteristic
698C22×D43C22×D411yescharacteristic
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—21no—
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—41no—
705Q8×C43—81no—
706Q8×C43C2×#4112yes—
707D4×C43—21no—
708D4×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—21no—
716C2×C4×C43—42no—
717C2×C4×C43C22×D411yescharacteristic
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C2511yescharacteristic
724C22⋊D43—42no—
725C22⋊D43—81no—
726C22⋊D43—81no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—81no—
733C2×Dic43C22×D411yescharacteristic
734C2×Dic43C22×D411yescharacteristic
735C2×Dic43C22×D411yescharacteristic
736C2×Dic43C22×D411yescharacteristic
737C2×Dic43C22×D411yescharacteristic
738D172—21no—
739D172—21no—
740D172—21no—
741D172—21no—
742D172—21no—
743D172—41no—
744D172—41no—
745D172—41no—
746D172—42no—
747D172—42no—
748D172—42no—
749D172—42no—
750D172—81no—
751D172—81no—
752D172—81no—
753D172—81no—
754D172—81no—
755D172—81no—
756D172C2×#4112yes—
757C4×D43—21no—
758C4×D43—21no—
759C4×D43—21no—
760C4×D43—21no—
761C4×D43—21no—
762C4×D43—21no—
763C4×D43—41no—
764C4×D43—41no—
765C4×D43—42no—
766C4×D43—42no—
767C4×D43—42no—
768C4×D43—42no—
769C4×D43—42no—
770C4×D43—42no—
771C4×D43—81no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776C4×D43—81no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43—81no—
782Dic86—21no—
783Dic86—21no—
784Dic86—42no—
785Dic86—42no—
786Dic86—81no—
787Dic86—81no—
788C8×C43—21no—
789C8×C43—21no—
790C8×C43—21no—
791C8×C43—21no—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8C2×#4112yes—
796#61508—431nomaximal, Sylow
797C22×C43—41no—
798C22×C43—41no—
799C22×C43—41no—
800C22×C43C23×D411yescharacteristic
801C2×D43—21no—
802C2×D43—21no—
803C2×D43—21no—
804C2×D43—21no—
805C2×D43—21no—
806C2×D43—21no—
807C2×D43—22no—
808C2×D43—21no—
809C2×D43—21no—
810C2×D43—21no—
811C2×D43—41no—
812C2×D43—41no—
813C2×D43—41no—
814C2×D43—41no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—84no—
820C4×C43—21no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—21no—
826C4×C43—22no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43—41no—
832C4×C43—41no—
833C4×C43C22×#4111yescharacteristic
834C4×C43#58511yescharacteristic
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—21no—
839Dic43—21no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845#3524—431no—
846#3520—431no—
847#3401—431no—
848#3386—431no—
849#3377D4311yescharacteristic, complemented
850#3373—431no—
851#3357—431no—
852#3345—431no—
853#3344—431no—
854#3333—431no—
855#3323—431no—
856#3319—431no—
857#3316—431no—
858#3308—431no—
859#3307—431no—
860#3275—431no—
861#3269—431no—
862#3268—431no—
863#3179—431no—
864#3175—431no—
865#3172—431no—
866#3125—431no—
867#3124—431no—
868#3121—431no—
869#3119—431no—
870#3116—431no—
871#3114—431no—
872#2967—431no—
873#2952—431no—
874#2947—431no—
875C4×AGL(1,ℤ/8)—431no—
876C2×C43—81no—
877C2×C43D4×#4111yescharacteristic
878C2×C43#358511yescharacteristic
879C2×C43#358611yescharacteristic
880D43—41no—
881D43—41no—
882D43—41no—
883D43—42no—
884D43—81no—
885D43—81no—
886C2×#137—431no—
887C2×AGL(1,ℤ/8)—431no—
888C2×#135—431no—
889#559—431no—
890#559—861no—
891#557C2×D4311yescharacteristic, complemented
892#556C2×D4311yescharacteristic
893#555—431no—
894#555—861no—
895#554—431no—
896#554—431no—
897#553—431no—
898#553—861no—
899#552—431no—
900#552—861no—
901#552—861no—
902#551—861no—
903#551—861no—
904#550—431no—
905D4×Q8—431no—
906#548—431no—
907#548—431no—
908#548—861no—
909#547—431no—
910#547—431no—
911#546—431no—
912#546—431no—
913#542—431no—
914#542—431no—
915#542—431no—
916#542—861no—
917#540—431no—
918#540—861no—
919#539—861no—
920#539—861no—
921#533—431no—
922#529—431no—
923#529—431no—
924#529—861no—
925#529—861no—
926#525—861no—
927C2×C22⋊Q8—861no—
928#520—431no—
929#520—431no—
930#520—431no—
931#519—431no—
932C4×#41—431no—
933C2×C4×D4—431no—
934#501—431no—
935#501—431no—
936#500—431no—
937#497—431no—
938#496—431no—
939#495—431no—
940#491C2×D4311yescharacteristic, complemented
941#489—431no—
942#489—431no—
943#489C2×D4311yescharacteristic
944#488C2×D4311yescharacteristic
945#486—431no—
946#485—431no—
947#485—431no—
948#485—431no—
949#484—431no—
950#483—431no—
951#483—431no—
952#482—431no—
953#481—431no—
954#481—431no—
955#480—431no—
956#480—431no—
957#480—431no—
958#479C2×D4311yescharacteristic, complemented
959#478—431no—
960#478—431no—
961#478C2×D4311yescharacteristic
962#477—431no—
963#477—431no—
964#477C2×D4311yescharacteristic, complemented
965#476—431no—
966#476—431no—
967#475—431no—
968#475—431no—
969#474—431no—
970#470—431no—
971#470—431no—
972#469—431no—
973#468—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#467—431no—
979#466—431no—
980#466—431no—
981#465—431no—
982#464—431no—
983#464—431no—
984#464C2×D4311yescharacteristic
985#464C2×D4311yescharacteristic
986#463—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#462C2×D4311yescharacteristic, complemented
991#461—431no—
992#460—431no—
993#459—431no—
994#452—431no—
995#452—431no—
996#452—431no—
997#452—431no—
998#451—431no—
999#450—431no—
1000#449—431no—
1001#449—431no—
1002#449—431no—
1003#449—431no—
1004#448—431no—
1005#447—431no—
1006#446—431no—
1007#446C2×D4311yescharacteristic, complemented
1008#442—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442—431no—
1013#441—431no—
1014#441—431no—
1015#441—431no—
1016#441C2×D4311yescharacteristic, complemented
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440C2×D4311yescharacteristic
1024C4×Q16—431no—
1025C4×Q16—431no—
1026C4×Q16C2×D4311yescharacteristic, complemented
1027C4×SD16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×SD16—431no—
1034C4×D8—431no—
1035C4×D8—431no—
1036#436—431no—
1037#436—431no—
1038#435—431no—
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#433—431no—
1043#433—431no—
1044#432—431no—
1045#428—431no—
1046#428—431no—
1047C2×#106—431no—
1048#418—431no—
1049#417—431no—
1050#417—431no—
1051#417—431no—
1052#416—431no—
1053C2×#103—431no—
1054#405—431no—
1055#405—431no—
1056C4×M16—431no—
1057C43#6150811yescharacteristic, complemented, Sylow
1058C2×#41—431no—
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41—431no—
1062C2×#41—861no—
1063C22×Q8—431no—
1064C22×Q8—861no—
1065C22×D4—431no—
1066C23×C4—861no—
1067#137—864no—
1068AGL(1,ℤ/8)—864no—
1069#135—864no—
1070C2×Q16—431no—
1071C2×Q16—431no—
1072C2×Q16C22×D4311yescharacteristic
1073C2×Q16C22×D4311yescharacteristic
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16C22×D4311yescharacteristic
1082C2×D8—431no—
1083C2×D8—431no—
1084C2×D8—431no—
1085C2×D8—431no—
1086C2×M16—431no—
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16—431no—
1090C22×C8—431no—
1091C22×C8—431no—
1092C4⋊Q8—21no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8C22×D4311yescharacteristic
1097C4⋊Q8C22×D4311yescharacteristic
1098#127—431no—
1099#127—861no—
1100#126—21no—
1101#126—21no—
1102#126—431no—
1103#126—431no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#126—861no—
1110#125—21no—
1111#125—21no—
1112#125—431no—
1113#125—861no—
1114#125—861no—
1115#125—861no—
1116#125—861no—
1117#125C22×D4311yescharacteristic
1118#125C22×D4311yescharacteristic
1119#124—431no—
1120#124—431no—
1121#124—431no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#124—861no—
1129#124—861no—
1130#124C22×D4311yescharacteristic
1131#124C22×D4311yescharacteristic
1132#123—431no—
1133#123—431no—
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—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150C22⋊Q8—21no—
1151C22⋊Q8—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8—861no—
1172#121—431no—
1173#121—431no—
1174#121—431no—
1175#121—431no—
1176#121—431no—
1177#121—431no—
1178#121—431no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121—861no—
1188#121—861no—
1189#121—861no—
1190#120—861no—
1191#120—861no—
1192C4×Q8—21no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—861no—
1199C4×Q8—861no—
1200C4×Q8—861no—
1201C4×Q8C22×D4311yescharacteristic
1202C4×Q8C22×D4311yescharacteristic
1203C4×Q8C22×D4311yescharacteristic
1204C4×Q8C22×D4311yescharacteristic
1205C4×Q8C22×D4311yescharacteristic
1206C4×Q8C22×D4311yescharacteristic
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—431no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4—861no—
1232C4×D4—861no—
1233C4×D4—861no—
1234C4×D4—861no—
1235C4×D4—861no—
1236C4×D4—861no—
1237C4×D4C22×D4311yescharacteristic
1238#117—21no—
1239#117—431no—
1240#117—431no—
1241#117—431no—
1242#117—431no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248#117—861no—
1249#117—861no—
1250#117—861no—
1251#117—861no—
1252#117—861no—
1253C2×C4⋊C4—431no—
1254C2×C4⋊C4—431no—
1255C2×C4⋊C4—431no—
1256C2×C4⋊C4—431no—
1257C2×C4⋊C4—861no—
1258C2×C4⋊C4—861no—
1259C2×C4⋊C4—861no—
1260C2×C4⋊C4—861no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C42—431no—
1265C2×C42—861no—
1266#107—431no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107C22×D4311yescharacteristic
1273#107C22×D4311yescharacteristic
1274#106—431no—
1275#106—431no—
1276#106—431no—
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106C22×D4311yescharacteristic
1282C4⋊C8—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8C22×D4311yescharacteristic
1286C4⋊C8C22×D4311yescharacteristic
1287C4⋊C8C22×D4311yescharacteristic
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103C22×D4311yescharacteristic
1298#103C22×D4311yescharacteristic
1299#103C22×D4311yescharacteristic
1300#103C22×D4311yescharacteristic
1301#103C22×D4311yescharacteristic
1302#103C22×D4311yescharacteristic
1303#103C22×D4311yescharacteristic
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102C22×D4311yescharacteristic
1318#102C22×D4311yescharacteristic
1319#102C22×D4311yescharacteristic
1320C22⋊C8—431no—
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8—431no—
1326#97—431no—
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97C22×D4311yescharacteristic
1331#97C22×D4311yescharacteristic
1332C4×C8—431no—
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8C22×D4311yescharacteristic
1336C24—861no—
1337#41—862no—
1338#41—862no—
1339#41—862no—
1340#41—862no—
1341#41—3442no—
1342#41—1721no—
1343#41—1721no—
1344#41—1721no—
1345#41—1721no—
1346C2×Q8—21no—
1347C2×Q8—431no—
1348C2×Q8—861no—
1349C2×Q8—861no—
1350C2×Q8—861no—
1351C2×Q8—861no—
1352C2×Q8—862no—
1353C2×Q8—3442no—
1354C2×Q8—1721no—
1355C2×Q8D4×D4311yescharacteristic
1356C2×Q8C23×D4311yescharacteristic
1357C2×Q8C23×D4311yescharacteristic
1358C2×Q8C23×D4311yescharacteristic
1359C2×D4—431no—
1360C2×D4—431no—
1361C2×D4—431no—
1362C2×D4—431no—
1363C2×D4—431no—
1364C2×D4—431no—
1365C2×D4—861no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—862no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—861no—
1379C2×D4—1721no—
1380C2×D4C23×D4311yescharacteristic
1381C22×C4—21no—
1382C22×C4—431no—
1383C22×C4—431no—
1384C22×C4—431no—
1385C22×C4—431no—
1386C22×C4—431no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4—861no—
1390C22×C4—861no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4—861no—
1404C22×C4—861no—
1405C22×C4—3442no—
1406Q16—22no—
1407Q16—22no—
1408Q16—862no—
1409Q16—1721no—
1410SD16—22no—
1411SD16—434no—
1412SD16—862no—
1413SD16—862no—
1414SD16—1721no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—862no—
1419D8—862no—
1420D8—862no—
1421D8—1721no—
1422M16—862no—
1423M16—862no—
1424M16—1721no—
1425M16—1721no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—431no—
1430C2×C8—862no—
1431C2×C8—1721no—
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C2×C8C23×D4311yescharacteristic
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
1454C4⋊C4—431no—
1455C4⋊C4—431no—
1456C4⋊C4—431no—
1457C4⋊C4—431no—
1458C4⋊C4—431no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4D4×D4311yescharacteristic
1478C4⋊C4D4×D4311yescharacteristic
1479C4⋊C4D4×D4311yescharacteristic
1480C4⋊C4C23×D4311yescharacteristic
1481C4⋊C4C23×D4311yescharacteristic
1482C4⋊C4C23×D4311yescharacteristic
1483C4⋊C4C23×D4311yescharacteristic
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—431no—
1490C22⋊C4—431no—
1491C22⋊C4—431no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C22⋊C4—861no—
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—21no—
1531C42—431no—
1532C42—431no—
1533C42—431no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42C23×D4311yescharacteristic
1542C42C23×D4311yescharacteristic
1543C42C23×D4311yescharacteristic
1544C23—21no—
1545C23—431no—
1546C23—431no—
1547C23—431no—
1548C23—861no—
1549C23—861no—
1550C23—861no—
1551C23—3441no—
1552C23—1722no—
1553C23—1722no—
1554Q8—21no—
1555Q8—21no—
1556Q8—21no—
1557Q8—21no—
1558Q8—21no—
1559Q8—41no—
1560Q8—81no—
1561Q8—861no—
1562Q8—861no—
1563Q8—3441no—
1564Q8—3441no—
1565Q8—1722no—
1566Q8—1722no—
1567Q8#41×D4312yes—
1568D4—21no—
1569D4—21no—
1570D4—432no—
1571D4—861no—
1572D4—861no—
1573D4—861no—
1574D4—861no—
1575D4—861no—
1576D4—3441no—
1577D4—3441no—
1578D4—3441no—
1579D4—3441no—
1580D4—3441no—
1581D4—3441no—
1582D4—3441no—
1583D4—3441no—
1584D4—1721no—
1585D4—1721no—
1586D4—1721no—
1587D4—1722no—
1588D4—1722no—
1589D4—1722no—
1590D4—1722no—
1591D4—1722no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—42no—
1600C2×C4—431no—
1601C2×C4—431no—
1602C2×C4—431no—
1603C2×C4—431no—
1604C2×C4—431no—
1605C2×C4—861no—
1606C2×C4—861no—
1607C2×C4—861no—
1608C2×C4—861no—
1609C2×C4—861no—
1610C2×C4—861no—
1611C2×C4—861no—
1612C2×C4—861no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—3441no—
1617C2×C4—3441no—
1618C2×C4—3441no—
1619C2×C4—3441no—
1620C2×C4—3441no—
1621C2×C4—3441no—
1622C2×C4—3441no—
1623C2×C4—3441no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—1721no—
1629C2×C4—1721no—
1630C2×C4—1722no—
1631C2×C4—1722no—
1632C2×C4—1722no—
1633C2×C4—1722no—
1634C2×C4—1722no—
1635C2×C4—1722no—
1636C2×C4C2×D4×D4311yescharacteristic
1637C2×C4C2×D4×D4311yescharacteristic
1638C2×C4C2×D4×D4311yescharacteristic
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C24×D4311yescharacteristic
1643C8—21no—
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—432no—
1648C8—861no—
1649C8—861no—
1650C8—861no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—861no—
1655C22—861no—
1656C22—861no—
1657C22—862no—
1658C22—861no—
1659C22—861no—
1660C22—861no—
1661C22—861no—
1662C22—861no—
1663C22—861no—
1664C22—3444no—
1665C22—1721no—
1666C22—1721no—
1667C22—1721no—
1668C22—1721no—
1669C22—1721no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22C22×D4×D4311yescharacteristic
1674C4—22no—
1675C4—21no—
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—861no—
1688C4—861no—
1689C4—861no—
1690C4—861no—
1691C4—861no—
1692C4—1721no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4C2×#41×D4311yescharacteristic
1698C4#1458373611yescharacteristic
1699C2—81no—
1700C2—3441no—
1701C2—3441no—
1702C2—1721no—
1703C2—1721no—
1704C2—1721no—
1705C2—1722no—
1706C2#1914808411yescharacteristic
1707C2#1914937211yescharacteristic
1708C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3377C2
socleC22×C43C23×D4
hypercenter#3377D43
hypocenterC43#61508
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3377

Complements

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

NH ≅ G/Ntype
1. #19148707C2semidirect
2. #19148643C2semidirect
3. #19147661C2semidirect
4. #19147512C2semidirect
5. #19147389C2semidirect
6. #19147218C2semidirect
7. #19147062C2semidirect
8. #19147057C2semidirect
9. #19146935C2semidirect
10. #19146810C2semidirect
11. #19146750C2semidirect
12. #19146711C2semidirect
13. #19146591C2semidirect
14. #19146570C2semidirect
15. #19146221C2semidirect
16. #19146145C2semidirect
17. #19146130C2semidirect
18. #19145277C2semidirect
19. #19145233C2semidirect
20. #19145200C2semidirect
21. #19144871C2semidirect
22. #19144864C2semidirect
23. #19144821C2semidirect
24. #19144801C2semidirect
25. #19144756C2semidirect
26. #19144738C2semidirect
27. #19143579C2semidirect
28. #19143475C2semidirect
29. #19143433C2semidirect
30. #19143400C2semidirect
31. C43×#3377C2semidirect
36. #14583634C22semidirect
42. #14583602C22semidirect
51. #14583561C22semidirect
58. #14583523C22semidirect
62. #14583505C22semidirect
74. #14583381C22semidirect
75. #14583375C22semidirect
78. #14583309C22semidirect
79. #14583309C22semidirect
80. #14583302C22semidirect
81. #14583291C22semidirect
84. #14583259C22semidirect
85. #14583259C22semidirect
86. #14583246C22semidirect
89. #14583238C22semidirect
90. #14583236C22semidirect
92. #14583228C22semidirect
94. #14583219C22semidirect
97. #14583214C22semidirect
98. #14583214C22semidirect
101. #14583194C22semidirect
102. #14583194C22semidirect
103. #14583190C22semidirect
104. #14583190C22semidirect
105. #14583185C22semidirect
106. #14583184C22semidirect
113. #14583148C22semidirect
114. #14583148C22semidirect
116. #14583139C22semidirect
119. #14583131C22semidirect
120. #14583121C22semidirect
126. #14583101C22semidirect
127. #14583099C22semidirect
132. #14583060C22semidirect
133. #14583053C22semidirect
141. #14583030C22semidirect
147. #14583006C22semidirect
148. #14583006C22semidirect
149. #14583004C22semidirect
150. #14583002C22semidirect
151. #14583002C22semidirect
156. #14582991C22semidirect
157. #14582991C22semidirect
161. C4×#10621884C22semidirect
163. #14582984C22semidirect
164. #14582984C22semidirect
170. #14582972C22semidirect
172. #14582969C22semidirect
173. #14582959C22semidirect
174. #14582959C22semidirect
177. #14582940C22semidirect
178. #106×D43C22semidirect
182. #14582899C22semidirect
184. #103×D43C22semidirect
185. #14582856C22semidirect
186. #14582853C22semidirect
188. C43×#557C22semidirect
190. C43×#491C22semidirect
193. C43×#479C22semidirect
195. C43×#477C22semidirect
198. C43×#462C22semidirect
199. C43×#446C22semidirect
200. C43×#441C22semidirect
202. C4×Q16×C43C22semidirect
599. #10621884#41semidirect
849. #3377D43semidirect
891. #557C2×D43semidirect
940. #491C2×D43semidirect
958. #479C2×D43semidirect
964. #477C2×D43semidirect
990. #462C2×D43semidirect
1007. #446C2×D43semidirect
1016. #441C2×D43semidirect
1026. C4×Q16C2×D43semidirect
1057. C43#61508semidirect

Maximal subgroups

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

subgroupindex
#191487072
#191486432
#191476612
#191475122
#191473892
#191472182
#191470622
#191470572
#191469352
#191468102
#191467502
#191467112
#191465912
#191465702
#191462212
#191461452
#191461302
#191452772
#191452332
#191452002
#191448712
#191448642
#191448212
#191448012
#191447562
#191447382
#191435792
#191434752
#191434332
#191434002
C43×#33772
#6150843