Finite Group Databasebeta

← #25993807

Subgroups — #25993807

Order 11008.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149247C211yesmaximal, characteristic, complemented
2#19148538C211yesmaximal, characteristic, complemented
3#19147549C211yesmaximal, characteristic, complemented
4#19147363C211yesmaximal, characteristic, complemented
5#19147257C211yesmaximal, characteristic, complemented
6#19147189C211yesmaximal, characteristic, complemented
7#19147154C211yesmaximal, characteristic, complemented
8#19147152C211yesmaximal, characteristic, complemented
9#19147132C211yesmaximal, characteristic, complemented
10#19147032C211yesmaximal, characteristic, complemented
11#19146996C211yesmaximal, characteristic, complemented
12#19146828C211yesmaximal, characteristic, complemented
13#19146816C211yesmaximal, characteristic, complemented
14#19146793C211yesmaximal, characteristic, complemented
15#19146748C211yesmaximal, characteristic, complemented
16#19146733C211yesmaximal, characteristic, complemented
17#19146435C211yesmaximal, characteristic, complemented
18#19146058C211yesmaximal, characteristic, complemented
19#19146012C211yesmaximal, characteristic, complemented
20#19145998C211yesmaximal, characteristic, complemented
21#19145896C211yesmaximal, characteristic, complemented
22#19145851C211yesmaximal, characteristic, complemented
23#19145775C211yesmaximal, characteristic, complemented
24#19144868C211yesmaximal, characteristic, complemented
25#19144785C211yesmaximal, characteristic, complemented
26#19144646C211yesmaximal, characteristic, complemented
27#19144447C211yesmaximal, characteristic, complemented
28#19144419C211yesmaximal, characteristic, complemented
29#19144390C211yesmaximal, characteristic, complemented
30#19143743C211yesmaximal, characteristic, complemented
31C43×#3381C211yesmaximal, characteristic, complemented
32#14583648—21no—
33#14583647—21no—
34#14583634C2211yescharacteristic
35#14583622C2211yescharacteristic
36#14583621—21no—
37#14583615C2211yescharacteristic, complemented
38#14583609C2211yescharacteristic, complemented
39#14583602C2211yescharacteristic
40#14583602C2211yescharacteristic
41#14583602C2211yescharacteristic, complemented
42#14583597—21no—
43#14583590C2211yescharacteristic, complemented
44#14583590C2211yescharacteristic, complemented
45#14583587C2211yescharacteristic
46#14583581—21no—
47#14583576—21no—
48#14583576—21no—
49#14583552C2211yescharacteristic
50#14583544C2211yescharacteristic
51#14583544C2211yescharacteristic
52#14583540—21no—
53D4×D172C2211yescharacteristic
54#14583529C2211yescharacteristic, complemented
55#14583526C2211yescharacteristic, complemented
56#14583523—21no—
57#14583523C2211yescharacteristic
58#14583521—21no—
59#14583521C2211yescharacteristic, complemented
60#14583521C2211yescharacteristic, complemented
61#14583508—21no—
62#14583505C2211yescharacteristic
63#14583498—21no—
64#14583497—21no—
65#14583489—21no—
66#14583455C2211yescharacteristic, complemented
67#14583436C2211yescharacteristic
68#14583436C2211yescharacteristic, complemented
69#14583434C2211yescharacteristic
70#14583412—21no—
71C2×#13063310—21no—
72#14583378C2211yescharacteristic
73#14583371C2211yescharacteristic
74C4×D4×D43C2211yescharacteristic
75#14583309C2211yescharacteristic, complemented
76#14583305C2211yescharacteristic, complemented
77#14583298C2211yescharacteristic, complemented
78#14583265C2211yescharacteristic
79#14583261C2211yescharacteristic, complemented
80#14583256C2211yescharacteristic, complemented
81#14583254C2211yescharacteristic, complemented
82#14583254C2211yescharacteristic, complemented
83#14583246C2211yescharacteristic
84#14583243C2211yescharacteristic, complemented
85#14583243C2211yescharacteristic, complemented
86#14583242C2211yescharacteristic, complemented
87#14583239C2211yescharacteristic, complemented
88#14583233C2211yescharacteristic, complemented
89#14583231C2211yescharacteristic, complemented
90#14583228C2211yescharacteristic, complemented
91#14583226C2211yescharacteristic
92#14583226C2211yescharacteristic, complemented
93#14583225C2211yescharacteristic
94#14583225C2211yescharacteristic
95#14583225C2211yescharacteristic, complemented
96#14583225C2211yescharacteristic, complemented
97#14583219C2211yescharacteristic
98#14583219C2211yescharacteristic, complemented
99#14583219C2211yescharacteristic, complemented
100#14583219C2211yescharacteristic, complemented
101#14583214C2211yescharacteristic, complemented
102#14583209C2211yescharacteristic, complemented
103#14583203C2211yescharacteristic, complemented
104#14583202C2211yescharacteristic, complemented
105#14583200C2211yescharacteristic, complemented
106#14583200C2211yescharacteristic, complemented
107#14583199C2211yescharacteristic
108#14583199C2211yescharacteristic
109#14583198C2211yescharacteristic, complemented
110#14583197C2211yescharacteristic
111#14583196C2211yescharacteristic, complemented
112#14583196C2211yescharacteristic, complemented
113#14583196C2211yescharacteristic, complemented
114#14583195C2211yescharacteristic, complemented
115#14583193C2211yescharacteristic, complemented
116#14583188C2211yescharacteristic, complemented
117#14583188C2211yescharacteristic, complemented
118#14583187C2211yescharacteristic
119#14583186C2211yescharacteristic, complemented
120#14583183C2211yescharacteristic, complemented
121#14583179C2211yescharacteristic
122#14583178C2211yescharacteristic, complemented
123#14583178C2211yescharacteristic, complemented
124#14583177C2211yescharacteristic
125#14583176C2211yescharacteristic, complemented
126#14583156C2211yescharacteristic, complemented
127#14583153C2211yescharacteristic
128#14583153C2211yescharacteristic, complemented
129#14583148C2211yescharacteristic
130#14583148C2211yescharacteristic
131#14583148C2211yescharacteristic, complemented
132#14583146C2211yescharacteristic, complemented
133#14583146C2211yescharacteristic, complemented
134#14583139C2211yescharacteristic, complemented
135#14583136C2211yescharacteristic
136#14583136C2211yescharacteristic, complemented
137#14583131C2211yescharacteristic, complemented
138#14583124C2211yescharacteristic, complemented
139#14583121C2211yescharacteristic, complemented
140#14583121C2211yescharacteristic, complemented
141#14583117C2211yescharacteristic, complemented
142#14583117C2211yescharacteristic, complemented
143#14583116C2211yescharacteristic
144#14583115C2211yescharacteristic, complemented
145#14583115C2211yescharacteristic, complemented
146#14583099C2211yescharacteristic
147#14583095C2211yescharacteristic
148#14583058C2211yescharacteristic
149#14583048C2211yescharacteristic
150#14583048C2211yescharacteristic
151#14583045C2211yescharacteristic
152#14583034C2211yescharacteristic
153#14583034C2211yescharacteristic
154#14583030C2211yescharacteristic, complemented
155#14583009C2211yescharacteristic
156#14583009C2211yescharacteristic
157#14583004C2211yescharacteristic, complemented
158#14582997C2211yescharacteristic, complemented
159C4×#10621873C2211yescharacteristic, complemented
160C4×#10621884C2211yescharacteristic, complemented
161C4×D344C2211yescharacteristic, complemented
162C4×D344C2211yescharacteristic, complemented
163C4×#10621882C2211yescharacteristic
164#14582978C2211yescharacteristic
165#14582978C2211yescharacteristic, complemented
166#14582976C2211yescharacteristic, complemented
167#14582969C2211yescharacteristic
168#14582969C2211yescharacteristic, complemented
169C8×D172C2211yescharacteristic, complemented
170#14582958C2211yescharacteristic, complemented
171#14582958C2211yescharacteristic, complemented
172#14582950C2211yescharacteristic, complemented
173#14582940C2211yescharacteristic, complemented
174#14582940C2211yescharacteristic, complemented
175#14582938C2211yescharacteristic, complemented
176#14582938C2211yescharacteristic, complemented
177#14582936C2211yescharacteristic, complemented
178#107×D43C2211yescharacteristic, complemented
179#14582924C2211yescharacteristic, complemented
180#14582924C2211yescharacteristic, complemented
181#14582921C2211yescharacteristic, complemented
182#14582902C2211yescharacteristic
183#14582902C2211yescharacteristic
184#14582902C2211yescharacteristic
185#14582897C2211yescharacteristic
186#14582892C2211yescharacteristic
187#102×D43C2211yescharacteristic
188C43×#557C2211yescharacteristic, complemented
189C43×#554C2211yescharacteristic
190C43×#499C2211yescharacteristic, complemented
191C43×#499C2211yescharacteristic, complemented
192C43×#498C2211yescharacteristic, complemented
193C43×#479C2211yescharacteristic, complemented
194C43×#479C2211yescharacteristic, complemented
195C43×#478C2211yescharacteristic
196C43×#478C2211yescharacteristic
197C43×#477C2211yescharacteristic, complemented
198C43×#474C2211yescharacteristic
199C8×Q8×C43C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic
201C4×SD16×C43C2211yescharacteristic
202C4×SD16×C43C2211yescharacteristic
203C2×#10621902—21no—
204C2×#10621900C2311yescharacteristic
205C22×D172—21no—
206C2×D4×D43C2311yescharacteristic
207C2×D4×D43C2311yescharacteristic
208C22×C4×D43—21no—
209C2×#10621885C2311yescharacteristic
210C2×#10621873C2311yescharacteristic
211C2×#10621884C2311yescharacteristic
212C2×#10621884C2311yescharacteristic
213C2×D344C2311yescharacteristic
214C2×D344C2311yescharacteristic
215C2×#10621882C2311yescharacteristic
216C2×#10621872C2311yescharacteristic
217C2×#10621872C2311yescharacteristic
218C2×#10621872C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220C2×C8×D43C2311yescharacteristic
221C2×C8×D43C2311yescharacteristic
222#13063325C2311yescharacteristic
223#13063324—21no—
224#13063324C2311yescharacteristic
225#13063324C2311yescharacteristic
226#13063323—21no—
227#13063322C2311yescharacteristic
228#13063320—21no—
229#13063320—21no—
230#13063320—21no—
231#13063320—21no—
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320D411yescharacteristic
238#13063320D411yescharacteristic
239#13063319—21no—
240#13063319—21no—
241#13063319—21no—
242#13063319—21no—
243#13063317C2311yescharacteristic
244#13063317C2311yescharacteristic
245#13063316—21no—
246#13063316D411yescharacteristic
247#13063316C2311yescharacteristic
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063314—21no—
253#13063314—21no—
254#13063314—21no—
255#13063314—21no—
256#13063314D411yescharacteristic
257#13063314C2311yescharacteristic
258#13063313—21no—
259#13063313—21no—
260#13063313—21no—
261#13063313C2311yescharacteristic
262#13063313C2311yescharacteristic
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#13063310—21no—
274#13063310—21no—
275#13063310—21no—
276#13063310—21no—
277#13063310—21no—
278#13063310—21no—
279#13063310—21no—
280#13063310D411yescharacteristic
281#13063310D411yescharacteristic
282#13063309—21no—
283#13063309—21no—
284#13063305—21no—
285#13063305C2311yescharacteristic
286#13063305C2311yescharacteristic
287#13063303—21no—
288#13063303—21no—
289#13063303—21no—
290#13063303—21no—
291#13063303—21no—
292#13063303—21no—
293#13063303—21no—
294#13063303—21no—
295#13063301—21no—
296#13063301—21no—
297#13063301—21no—
298#13063301—21no—
299#13063301D411yescharacteristic
300#13063301C2311yescharacteristic
301#13063301C2311yescharacteristic
302#13063301C2311yescharacteristic
303#13063300—21no—
304#13063300—21no—
305#13063300—21no—
306#13063300—21no—
307#13063300—21no—
308#13063300—21no—
309#13063300D411yescharacteristic
310#13063300C2311yescharacteristic
311#13063300C2311yescharacteristic
312#13063300C2311yescharacteristic
313#13063300C2311yescharacteristic
314#13063300C2311yescharacteristic
315#13063300C2311yescharacteristic
316#13063300C2311yescharacteristic
317#13063299—21no—
318#13063299—21no—
319#13063299—21no—
320#13063295—21no—
321#13063295—21no—
322#13063295—21no—
323#13063295—21no—
324C4×Dic86—21no—
325C4×Dic86C2311yescharacteristic
326#13063290—21no—
327#13063290—21no—
328#13063290C2311yescharacteristic
329C4×D172—21no—
330C4×D172C2311yescharacteristic
331C4×D172C2311yescharacteristic
332C4×D172C2311yescharacteristic
333C4×D172C2311yescharacteristic
334C4×D172C2311yescharacteristic
335C4×D172C2311yescharacteristic
336C4×D172C2311yescharacteristic
337C4×D172C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339#13063287—21no—
340#13063287—21no—
341#13063287—21no—
342#13063287—21no—
343#13063287—21no—
344#13063287C2311yescharacteristic
345#13063287C2311yescharacteristic
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4—21no—
352#13063283—21no—
353#13063283—21no—
354#13063283—21no—
355#13063283C2311yescharacteristic
356#13063283C2311yescharacteristic
357#13063283C2311yescharacteristic
358#13063283C2311yescharacteristic
359#13063283C2311yescharacteristic
360#13063282—21no—
361#13063282—21no—
362#13063282—21no—
363#13063282C2311yescharacteristic
364#13063282C2311yescharacteristic
365#13063281—21no—
366C2×Dic43⋊C4—21no—
367C4⋊C4×D43—21no—
368C4⋊C4×D43C2311yescharacteristic
369C4⋊C4×D43C2311yescharacteristic
370C4⋊C4×D43C2311yescharacteristic
371C4⋊C4×D43C2311yescharacteristic
372C2×(C2×D43)⋊C4—21no—
373C2×(C2×D43)⋊C4—21no—
374C2×(C2×D43)⋊C4—21no—
375C22⋊C4×D43—21no—
376C22⋊C4×D43—21no—
377C42×D43C2311yescharacteristic
378#13063259C2311yescharacteristic
379#13063259C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063257C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393C4⋊(C43⋊C8)C2311yescharacteristic
394C4⋊(C43⋊C8)C2311yescharacteristic
395C4⋊(C43⋊C8)C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063248C2311yescharacteristic
405#13063248C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063245C2311yescharacteristic
418#13063245C2311yescharacteristic
419#13063245C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432#13063236C2311yescharacteristic
433#13063236C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C2×SD16×C43C2311yescharacteristic
436C4⋊Q8×C43—21no—
437C4⋊Q8×C43C2311yescharacteristic
438C4⋊Q8×C43C2311yescharacteristic
439#125×C43—21no—
440#125×C43—21no—
441#125×C43C2311yescharacteristic
442#125×C43C2311yescharacteristic
443#125×C43C2311yescharacteristic
444#125×C43C2311yescharacteristic
445C22⋊Q8×C43—21no—
446C22⋊Q8×C43—21no—
447C22⋊Q8×C43—21no—
448C4×Q8×C43—21no—
449C4×Q8×C43C2311yescharacteristic
450C4×Q8×C43C2311yescharacteristic
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×D4×C43C2311yescharacteristic
454C4×D4×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C2×C4⋊C4×C43—21no—
457#107×C43C2311yescharacteristic
458#107×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#107×C43C2311yescharacteristic
461#106×C43C2311yescharacteristic
462#106×C43C2311yescharacteristic
463#106×C43C2311yescharacteristic
464#106×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466C4⋊C8×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468C4⋊C8×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475C4×C8×C43C2311yescharacteristic
476C4×C8×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C23×D43—21no—
479C23×D43—21no—
480C2×Q8×C43—21no—
481C2×Q8×C43—21no—
482C2×Q8×C43C2×D411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C2×D4×C43C2411yescharacteristic
485C22×C4×C43—21no—
486C22×C4×C43—21no—
487C22×C4×C43—21no—
488C2×C22⋊D43—21no—
489C2×C22⋊D43—21no—
490C2×C22⋊D43—21no—
491C22×Dic43—21no—
492C22×Dic43—21no—
493#10621902—82no—
494#10621900—22no—
495#10621900—41no—
496D4×D43—22no—
497D4×D43—22no—
498D4×D43—41no—
499D4×D43—41no—
500C2×D172—21no—
501C2×D172—21no—
502C2×D172—21no—
503C2×D172—21no—
504C2×D172—21no—
505C2×D172—21no—
506C2×D172—21no—
507C2×D172—21no—
508C2×D172—21no—
509C2×D172—82no—
510C2×D172C2×D411yescharacteristic
511C2×D172C2×D411yescharacteristic
512C2×D172C2×D411yescharacteristic
513C2×D172C2411yescharacteristic
514C2×D172C2411yescharacteristic
515C2×D172C2411yescharacteristic
516C2×C4×D43—21no—
517C2×C4×D43—21no—
518C2×C4×D43—21no—
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43—82no—
528C2×C4×D43C2×D411yescharacteristic
529C2×C4×D43C2×D411yescharacteristic
530C2×C4×D43C2411yescharacteristic
531C2×C4×D43C2411yescharacteristic
532C2×C4×D43C2411yescharacteristic
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86—21no—
536C2×Dic86C2411yescharacteristic
537SD16×C43—22no—
538C2×C8×C43C2411yescharacteristic
539C2×C8×C43C2411yescharacteristic
540C2×C8×C43C2411yescharacteristic
541C2×C8×C43C2411yescharacteristic
542C4⋊C4×C43—21no—
543C4⋊C4×C43—21no—
544C4⋊C4×C43—21no—
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43—21no—
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43C2×D411yescharacteristic
556C4⋊C4×C43C2×D411yescharacteristic
557C4⋊C4×C43C2×D411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C42×C43—21no—
568C42×C43—21no—
569C42×C43—21no—
570C42×C43C2411yescharacteristic
571C42×C43C2411yescharacteristic
572C42×C43C2411yescharacteristic
573C22⋊Dic43—21no—
574#10621885—41no—
575#10621884—41no—
576#10621884—41no—
577#10621882—22no—
578(C2×D43)⋊C4—21no—
579(C2×D43)⋊C4—21no—
580(C2×D43)⋊C4—21no—
581(C2×D43)⋊C4—21no—
582(C2×D43)⋊C4—21no—
583(C2×D43)⋊C4—21no—
584(C2×D43)⋊C4—21no—
585(C2×D43)⋊C4—21no—
586(C2×D43)⋊C4—21no—
587(C2×D43)⋊C4—21no—
588(C2×D43)⋊C4—21no—
589(C2×D43)⋊C4—21no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
609(C2×D43)⋊C4C2×D411yescharacteristic
610(C2×D43)⋊C4C2×D411yescharacteristic
611(C2×D43)⋊C4C2×D411yescharacteristic
612(C2×D43)⋊C4C2×D411yescharacteristic
613(C2×D43)⋊C4C2×D411yescharacteristic
614(C2×D43)⋊C4C2×D411yescharacteristic
615(C2×D43)⋊C4C2×D411yescharacteristic
616(C2×D43)⋊C4C2×D411yescharacteristic
617(C2×D43)⋊C4C2×D411yescharacteristic
618C4⋊Dic43—21no—
619C4⋊Dic43—21no—
620C4⋊Dic43—21no—
621C4⋊Dic43—21no—
622C4⋊Dic43C2×D411yescharacteristic
623C4⋊Dic43C2×D411yescharacteristic
624C4⋊Dic43C2×D411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
626C4⋊Dic43C2411yescharacteristic
627C4⋊Dic43C2411yescharacteristic
628C4⋊Dic43C2411yescharacteristic
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43C2×D411yescharacteristic
657C4×Dic43C2×D411yescharacteristic
658C4×Dic43C2411yescharacteristic
659C2×C43⋊C8C2411yescharacteristic
660C2×C43⋊C8C2411yescharacteristic
661C2×C43⋊C8C2411yescharacteristic
662C2×C43⋊C8C2411yescharacteristic
663D344—41no—
664D344—41no—
665#10621873—41no—
666#10621872—41no—
667#10621872—41no—
668#10621872—41no—
669#10621872—41no—
670C8×D43—41no—
671C8×D43—41no—
672C23×C43—21no—
673C22×D43—21no—
674C22×D43—21no—
675C22×D43—21no—
676C22×D43—42no—
677C22×D43—42no—
678C22×D43—42no—
679C22×D43—81no—
680C22×D43—81no—
681C22×D43—81no—
682C22×D43C22×D411yescharacteristic
683C22×D43C22×D411yescharacteristic
684C22×D43C22×D411yescharacteristic
685Q8×C43—21no—
686Q8×C43—21no—
687Q8×C43—41no—
688Q8×C43—81no—
689Q8×C43—81no—
690D4×C43—21no—
691D4×C432−1+412yes—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—81no—
700C2×C4×C43—81no—
701C2×C4×C43—81no—
702C2×C4×C43C22×D411yescharacteristic
703C2×C4×C43C22×D411yescharacteristic
704C2×C4×C43C22×D411yescharacteristic
705C2×C4×C43C22×D411yescharacteristic
706C2×C4×C43C22×D411yescharacteristic
707C2×C4×C43C22×D411yescharacteristic
708C2×C4×C43C2511yescharacteristic
709C22⋊D43—42no—
710C22⋊D43—42no—
711C22⋊D43—42no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—21no—
717C2×Dic43—42no—
718C2×Dic43—81no—
719C2×Dic43C22×D411yescharacteristic
720C2×Dic43C22×D411yescharacteristic
721C2×Dic43C22×D411yescharacteristic
722C2×Dic43C22×D411yescharacteristic
723C2×Dic43C22×D411yescharacteristic
724D172—21no—
725D172—21no—
726D172—21no—
727D172—21no—
728D172—21no—
729D172—21no—
730D172—41no—
731D172—41no—
732D172—41no—
733D172—42no—
734D172—81no—
735D172—81no—
736D172—81no—
737D172—81no—
738D172—81no—
739D172—81no—
740D172—81no—
741D172—81no—
742C4×D43—21no—
743C4×D43—21no—
744C4×D43—21no—
745C4×D43—21no—
746C4×D43—21no—
747C4×D43—21no—
748C4×D43—41no—
749C4×D43—41no—
750C4×D43—42no—
751C4×D43—81no—
752C4×D43—81no—
753C4×D43—81no—
754C4×D43—81no—
755C4×D43—81no—
756C4×D43—81no—
757C4×D43—81no—
758C4×D43—81no—
759C4×D43—81no—
760C4×D43—81no—
761Dic86—21no—
762Dic86—21no—
763Dic86—81no—
764Dic86—81no—
765Dic86—81no—
766C8×C43—21no—
767C8×C43—21no—
768C8×C43—21no—
769C8×C43—21no—
770C43⋊C8—21no—
771C43⋊C8—21no—
772C43⋊C8—21no—
773C43⋊C8—21no—
774#62175—431nomaximal, Sylow
775C22×C43—22no—
776C22×C43—41no—
777C22×C43—41no—
778C22×C43C23×D411yescharacteristic
779C2×D43—21no—
780C2×D43—21no—
781C2×D43—21no—
782C2×D43—21no—
783C2×D43—21no—
784C2×D43—21no—
785C2×D43—21no—
786C2×D43—21no—
787C2×D43—21no—
788C2×D43—41no—
789C2×D43—41no—
790C2×D43—41no—
791C2×D43—41no—
792C2×D43—41no—
793C2×D43—41no—
794C2×D43—41no—
795C2×D43—41no—
796C2×D43—41no—
797C2×D43—84no—
798C2×D43—162no—
799C4×C43—21no—
800C4×C43—21no—
801C4×C43—21no—
802C4×C43—21no—
803C4×C43—21no—
804C4×C43—21no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43—41no—
809C4×C43—41no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43C2×2−1+411yescharacteristic
813C4×C43#58511yescharacteristic
814Dic43—21no—
815Dic43—21no—
816Dic43—21no—
817Dic43—21no—
818Dic43—21no—
819Dic43—41no—
820Dic43—41no—
821Dic43—41no—
822Dic43—41no—
823Dic43—41no—
824#3565—431no—
825#3513—431no—
826#3389—431no—
827#3381D4311yescharacteristic, complemented
828#3371—431no—
829#3361—431no—
830#3354—431no—
831#3351—431no—
832#3351—431no—
833#3349—431no—
834#3343—431no—
835#3339—431no—
836#3324—431no—
837#3323—431no—
838#3322—431no—
839#3319—431no—
840#3318—431no—
841#3296—431no—
842#3262—431no—
843#3257—431no—
844#3256—431no—
845#3244—431no—
846#3241—431no—
847#3233—431no—
848#3125—431no—
849#3118—431no—
850#3105—431no—
851#3083—431no—
852#3081—431no—
853#3077—431no—
854#2993—431no—
855C2×C43—42no—
856C2×C43#348911yescharacteristic
857C2×C43#358411yescharacteristic
858C2×C43#358511yescharacteristic
859D43—41no—
860D43—41no—
861D43—41no—
862D43—81no—
863D43—81no—
864D43—81no—
865#563—861no—
866#562—861no—
867#559—431no—
868#557C2×D4311yescharacteristic, complemented
869#556—431no—
870#556—861no—
871#555—431no—
872#554—431no—
873#554C2×D4311yescharacteristic
874#553—431no—
875#553—431no—
876#553—431no—
877#553—861no—
878#552—431no—
879#552—431no—
880#552—431no—
881#552—861no—
882#551—861no—
883#551—861no—
884#547—431no—
885#546—431no—
886#546—431no—
887#546—861no—
888D42—431no—
889#544—431no—
890#544—431no—
891#542—431no—
892#542—431no—
893#542—431no—
894#542—861no—
895#542—861no—
896#541—861no—
897#540—431no—
898#539—861no—
899#539—861no—
900#538—861no—
901#533—431no—
902#529—431no—
903#529—431no—
904#529—431no—
905#525—861no—
906C2×#123—861no—
907#520—431no—
908#518—431no—
909C2×C4×D4—431no—
910#501—431no—
911#501—431no—
912#499—431no—
913#499C2×D4311yescharacteristic, complemented
914#499C2×D4311yescharacteristic, complemented
915#498C2×D4311yescharacteristic, complemented
916#490—431no—
917#489—431no—
918#488—431no—
919#488—431no—
920#488—431no—
921#486—431no—
922#485—431no—
923#485—431no—
924#485—431no—
925#485—431no—
926#484—431no—
927#483—431no—
928#483—431no—
929#482—431no—
930#482—431no—
931#482—431no—
932#482—431no—
933#482—431no—
934#482—431no—
935#481—431no—
936#481—431no—
937#481—431no—
938#481—431no—
939#480—431no—
940#479—431no—
941#479—431no—
942#479C2×D4311yescharacteristic, complemented
943#479C2×D4311yescharacteristic, complemented
944#478—431no—
945#478—431no—
946#478—431no—
947#478—431no—
948#478—431no—
949#478—431no—
950#478—431no—
951#478—431no—
952#478—431no—
953#478—431no—
954#478C2×D4311yescharacteristic
955#478C2×D4311yescharacteristic
956#477—431no—
957#477—431no—
958#477C2×D4311yescharacteristic, complemented
959#476—431no—
960#476—431no—
961#476—431no—
962#476—431no—
963#475—431no—
964#474—431no—
965#474—431no—
966#474—431no—
967#474—431no—
968#474—431no—
969#474C2×D4311yescharacteristic
970#470—431no—
971#469—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#464—431no—
985#463—431no—
986#463—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#460—431no—
991#459—431no—
992#452—431no—
993#450—431no—
994#450—431no—
995#449—431no—
996#447—431no—
997#447—431no—
998#446—431no—
999C8×Q8C2×D4311yescharacteristic, complemented
1000#442—431no—
1001#442—431no—
1002#441—431no—
1003#440—431no—
1004C4×SD16—431no—
1005C4×SD16—431no—
1006C4×SD16C2×D4311yescharacteristic
1007C4×SD16C2×D4311yescharacteristic
1008C4×SD16C2×D4311yescharacteristic
1009C4×D8—431no—
1010C4×D8—431no—
1011C4×D8—431no—
1012#436—431no—
1013#436—431no—
1014#436—431no—
1015#435—431no—
1016#435—431no—
1017C8×D4—431no—
1018#433—431no—
1019#433—431no—
1020#431—431no—
1021#428—431no—
1022#428—431no—
1023#428—431no—
1024#428—431no—
1025#427—431no—
1026C2×#107—431no—
1027#424—431no—
1028#424—431no—
1029#423—431no—
1030#418—431no—
1031#418—431no—
1032#418—431no—
1033#417—431no—
1034#416—431no—
1035C2×#102—431no—
1036C43#6217511yescharacteristic, complemented, Sylow
1037C2×#41—431no—
1038C2×#41—861no—
1039C22×D4—431no—
1040C22×D4—431no—
1041C22×D4—861no—
1042C23×C4—861no—
1043C2×Q16—431no—
1044C2×SD16—431no—
1045C2×SD16—431no—
1046C2×SD16—431no—
1047C2×SD16C22×D4311yescharacteristic
1048C2×D8—431no—
1049C2×D8—431no—
1050C2×D8—431no—
1051C2×M16—431no—
1052C2×M16—431no—
1053C2×M16—431no—
1054C2×M16—431no—
1055C22×C8—431no—
1056C22×C8—431no—
1057C4⋊Q8—21no—
1058C4⋊Q8—431no—
1059C4⋊Q8—431no—
1060C4⋊Q8—431no—
1061C4⋊Q8—861no—
1062C4⋊Q8—861no—
1063C4⋊Q8C22×D4311yescharacteristic
1064C4⋊Q8C22×D4311yescharacteristic
1065#127—431no—
1066#126—431no—
1067#126—431no—
1068#126—861no—
1069#126—861no—
1070#126—861no—
1071#126—861no—
1072#126—861no—
1073#126—861no—
1074#126—861no—
1075#126—861no—
1076#126—861no—
1077#126—861no—
1078#126—861no—
1079#126—861no—
1080#126—861no—
1081#125—21no—
1082#125—21no—
1083#125—431no—
1084#125—431no—
1085#125—431no—
1086#125—431no—
1087#125—861no—
1088#125—861no—
1089#125—861no—
1090#125—861no—
1091#125—861no—
1092#125C22×D4311yescharacteristic
1093#125C22×D4311yescharacteristic
1094#125C22×D4311yescharacteristic
1095#125C22×D4311yescharacteristic
1096#124—431no—
1097#124—431no—
1098#124—431no—
1099#124—431no—
1100#124—861no—
1101#124—861no—
1102#124—861no—
1103#124—861no—
1104#124—861no—
1105#124—861no—
1106#124—861no—
1107#123—431no—
1108#123—431no—
1109#123—861no—
1110#123—861no—
1111#123—861no—
1112#123—861no—
1113#123—861no—
1114#123—861no—
1115#123—861no—
1116#123—861no—
1117#123—861no—
1118#123—861no—
1119#123—861no—
1120#123—861no—
1121#123—861no—
1122#123—861no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—431no—
1132C22⋊Q8—431no—
1133C22⋊Q8—431no—
1134C22⋊Q8—431no—
1135C22⋊Q8—431no—
1136C22⋊Q8—431no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8—861no—
1150#121—431no—
1151#121—431no—
1152#121—431no—
1153#121—431no—
1154#121—431no—
1155#121—431no—
1156#121—431no—
1157#121—431no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#121—861no—
1165#121—861no—
1166#121—861no—
1167#120—861no—
1168#120—861no—
1169#120—861no—
1170#120—861no—
1171C4×Q8—21no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—861no—
1175C4×Q8—861no—
1176C4×Q8—861no—
1177C4×Q8C22×D4311yescharacteristic
1178C4×Q8C22×D4311yescharacteristic
1179C4×Q8C22×D4311yescharacteristic
1180C4×Q8C22×D4311yescharacteristic
1181C4×D4—431no—
1182C4×D4—431no—
1183C4×D4—431no—
1184C4×D4—431no—
1185C4×D4—431no—
1186C4×D4—431no—
1187C4×D4—431no—
1188C4×D4—431no—
1189C4×D4—431no—
1190C4×D4—431no—
1191C4×D4—431no—
1192C4×D4—861no—
1193C4×D4—861no—
1194C4×D4—861no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4C22×D4311yescharacteristic
1205C4×D4C22×D4311yescharacteristic
1206C4×D4C22×D4311yescharacteristic
1207#117—431no—
1208#117—431no—
1209#117—431no—
1210#117—431no—
1211#117—431no—
1212#117—431no—
1213#117—431no—
1214#117—861no—
1215#117—861no—
1216#117—861no—
1217#117—861no—
1218#117—861no—
1219#117—861no—
1220#117—861no—
1221C2×C4⋊C4—21no—
1222C2×C4⋊C4—431no—
1223C2×C4⋊C4—431no—
1224C2×C4⋊C4—431no—
1225C2×C4⋊C4—431no—
1226C2×C4⋊C4—861no—
1227C2×C4⋊C4—861no—
1228C2×C22⋊C4—861no—
1229C2×C22⋊C4—861no—
1230C2×C22⋊C4—861no—
1231C2×C22⋊C4—861no—
1232C2×C22⋊C4—861no—
1233C2×C42—431no—
1234#107—431no—
1235#107—431no—
1236#107—431no—
1237#107—431no—
1238#107—431no—
1239#107—431no—
1240#107—431no—
1241#107—431no—
1242#107C22×D4311yescharacteristic
1243#107C22×D4311yescharacteristic
1244#107C22×D4311yescharacteristic
1245#107C22×D4311yescharacteristic
1246#106—431no—
1247#106—431no—
1248#106—431no—
1249#106—431no—
1250#106—431no—
1251#106—431no—
1252#106—431no—
1253#106C22×D4311yescharacteristic
1254#106C22×D4311yescharacteristic
1255#106C22×D4311yescharacteristic
1256#106C22×D4311yescharacteristic
1257#106C22×D4311yescharacteristic
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8—431no—
1263C4⋊C8—431no—
1264C4⋊C8—431no—
1265C4⋊C8C22×D4311yescharacteristic
1266C4⋊C8C22×D4311yescharacteristic
1267C4⋊C8C22×D4311yescharacteristic
1268#103—431no—
1269#103—431no—
1270#103—431no—
1271#103—431no—
1272#103—431no—
1273#103—431no—
1274#103—431no—
1275#103C22×D4311yescharacteristic
1276#103C22×D4311yescharacteristic
1277#103C22×D4311yescharacteristic
1278#102—431no—
1279#102—431no—
1280#102—431no—
1281#102—431no—
1282#102—431no—
1283#102—431no—
1284#102—431no—
1285#102—431no—
1286#102—431no—
1287#102—431no—
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294#102—431no—
1295#102—431no—
1296#102—431no—
1297#102C22×D4311yescharacteristic
1298#102C22×D4311yescharacteristic
1299#102C22×D4311yescharacteristic
1300C22⋊C8—431no—
1301C22⋊C8—431no—
1302C22⋊C8—431no—
1303C22⋊C8—431no—
1304C22⋊C8—431no—
1305C22⋊C8—431no—
1306#97—431no—
1307#97—431no—
1308C4×C8—431no—
1309C4×C8C22×D4311yescharacteristic
1310C4×C8C22×D4311yescharacteristic
1311C4×C8C22×D4311yescharacteristic
1312C24—861no—
1313C24—861no—
1314#41—862no—
1315#41—3442no—
1316#41—1721no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—431no—
1320C2×Q8—861no—
1321C2×Q8—861no—
1322C2×Q8—861no—
1323C2×Q8D4×D4311yescharacteristic
1324C2×Q8C23×D4311yescharacteristic
1325C2×D4—431no—
1326C2×D4—431no—
1327C2×D4—431no—
1328C2×D4—431no—
1329C2×D4—431no—
1330C2×D4—431no—
1331C2×D4—861no—
1332C2×D4—861no—
1333C2×D4—861no—
1334C2×D4—861no—
1335C2×D4—861no—
1336C2×D4—861no—
1337C2×D4—861no—
1338C2×D4—861no—
1339C2×D4—861no—
1340C2×D4—862no—
1341C2×D4—862no—
1342C2×D4—861no—
1343C2×D4—861no—
1344C2×D4—861no—
1345C2×D4—3442no—
1346C2×D4—1721no—
1347C2×D4—1721no—
1348C2×D4C23×D4311yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—431no—
1353C22×C4—431no—
1354C22×C4—431no—
1355C22×C4—431no—
1356C22×C4—431no—
1357C22×C4—861no—
1358C22×C4—861no—
1359C22×C4—861no—
1360C22×C4—861no—
1361C22×C4—861no—
1362C22×C4—861no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4—3442no—
1371Q16—1721no—
1372SD16—22no—
1373SD16—1721no—
1374SD16—1721no—
1375SD16—1721no—
1376D8—862no—
1377D8—1721no—
1378D8—1721no—
1379M16—1721no—
1380M16—1721no—
1381M16—1721no—
1382M16—1721no—
1383C2×C8—431no—
1384C2×C8—431no—
1385C2×C8—431no—
1386C2×C8—431no—
1387C2×C8—1721no—
1388C2×C8—1721no—
1389C2×C8C23×D4311yescharacteristic
1390C2×C8C23×D4311yescharacteristic
1391C2×C8C23×D4311yescharacteristic
1392C2×C8C23×D4311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—431no—
1407C4⋊C4—431no—
1408C4⋊C4—431no—
1409C4⋊C4—431no—
1410C4⋊C4—431no—
1411C4⋊C4—431no—
1412C4⋊C4—431no—
1413C4⋊C4—431no—
1414C4⋊C4—431no—
1415C4⋊C4—431no—
1416C4⋊C4—431no—
1417C4⋊C4—861no—
1418C4⋊C4—861no—
1419C4⋊C4—861no—
1420C4⋊C4—861no—
1421C4⋊C4—861no—
1422C4⋊C4—861no—
1423C4⋊C4—861no—
1424C4⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4D4×D4311yescharacteristic
1438C4⋊C4D4×D4311yescharacteristic
1439C4⋊C4D4×D4311yescharacteristic
1440C4⋊C4C23×D4311yescharacteristic
1441C4⋊C4C23×D4311yescharacteristic
1442C4⋊C4C23×D4311yescharacteristic
1443C4⋊C4C23×D4311yescharacteristic
1444C4⋊C4C23×D4311yescharacteristic
1445C4⋊C4C23×D4311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—431no—
1450C22⋊C4—431no—
1451C22⋊C4—431no—
1452C22⋊C4—431no—
1453C22⋊C4—431no—
1454C22⋊C4—431no—
1455C22⋊C4—431no—
1456C22⋊C4—431no—
1457C22⋊C4—431no—
1458C22⋊C4—431no—
1459C22⋊C4—861no—
1460C22⋊C4—861no—
1461C22⋊C4—861no—
1462C22⋊C4—861no—
1463C22⋊C4—861no—
1464C22⋊C4—861no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4—861no—
1468C22⋊C4—861no—
1469C22⋊C4—861no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
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—
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—431no—
1494C42—431no—
1495C42—431no—
1496C42—861no—
1497C42—861no—
1498C42—861no—
1499C42—861no—
1500C42—861no—
1501C42—861no—
1502C42—861no—
1503C42C23×D4311yescharacteristic
1504C42C23×D4311yescharacteristic
1505C42C23×D4311yescharacteristic
1506C23—21no—
1507C23—431no—
1508C23—431no—
1509C23—431no—
1510C23—861no—
1511C23—861no—
1512C23—861no—
1513C23—3441no—
1514C23—3441no—
1515C23—3441no—
1516C23—1722no—
1517C23—1722no—
1518C23—1722no—
1519Q8—21no—
1520Q8—21no—
1521Q8—41no—
1522Q8—81no—
1523Q8—81no—
1524Q8—861no—
1525Q8—861no—
1526Q8—3441no—
1527Q8—3441no—
1528Q8—3441no—
1529D4—21no—
1530D4—861no—
1531D4—861no—
1532D4—861no—
1533D4—861no—
1534D4—861no—
1535D4—861no—
1536D4—3441no—
1537D4—3441no—
1538D4—3441no—
1539D4—3441no—
1540D4—3441no—
1541D4—3441no—
1542D4—3441no—
1543D4—3441no—
1544D4—1721no—
1545D4—1721no—
1546D4—1721no—
1547D4—1722no—
1548D4—1722no—
1549D4—1722no—
1550D4—1722no—
1551D4#1306337312yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—81no—
1560C2×C4—81no—
1561C2×C4—81no—
1562C2×C4—431no—
1563C2×C4—431no—
1564C2×C4—431no—
1565C2×C4—431no—
1566C2×C4—431no—
1567C2×C4—861no—
1568C2×C4—861no—
1569C2×C4—861no—
1570C2×C4—861no—
1571C2×C4—861no—
1572C2×C4—861no—
1573C2×C4—861no—
1574C2×C4—861no—
1575C2×C4—861no—
1576C2×C4—861no—
1577C2×C4—861no—
1578C2×C4—3441no—
1579C2×C4—3441no—
1580C2×C4—3441no—
1581C2×C4—3441no—
1582C2×C4—3441no—
1583C2×C4—3441no—
1584C2×C4—3441no—
1585C2×C4—3441no—
1586C2×C4—3441no—
1587C2×C4—3441no—
1588C2×C4—3441no—
1589C2×C4—1721no—
1590C2×C4—1721no—
1591C2×C4—1722no—
1592C2×C4—1722no—
1593C2×C4C2×D4×D4311yescharacteristic
1594C2×C4C2×D4×D4311yescharacteristic
1595C2×C4C2×D4×D4311yescharacteristic
1596C2×C4C2×D4×D4311yescharacteristic
1597C2×C4C2×D4×D4311yescharacteristic
1598C2×C4C2×D4×D4311yescharacteristic
1599C2×C4C24×D4311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—861no—
1605C8—861no—
1606C8—861no—
1607C8—861no—
1608C22—22no—
1609C22—41no—
1610C22—41no—
1611C22—861no—
1612C22—861no—
1613C22—861no—
1614C22—861no—
1615C22—861no—
1616C22—861no—
1617C22—861no—
1618C22—861no—
1619C22—861no—
1620C22—3444no—
1621C22—1721no—
1622C22—1721no—
1623C22—1721no—
1624C22—1721no—
1625C22—1721no—
1626C22—1721no—
1627C22—1721no—
1628C22—1721no—
1629C22—1721no—
1630C22—6882no—
1631C22C22×D4×D4311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—861no—
1646C4—861no—
1647C4—861no—
1648C4—861no—
1649C4—861no—
1650C4—1721no—
1651C4—1721no—
1652C4—1721no—
1653C4—1721no—
1654C4—1721no—
1655C4C2×#1306337311yescharacteristic
1656C4#1458373611yescharacteristic
1657C2—42no—
1658C2—3441no—
1659C2—3441no—
1660C2—3441no—
1661C2—1721no—
1662C2—1721no—
1663C2—1721no—
1664C2#1914827211yescharacteristic
1665C2#1914936411yescharacteristic
1666C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3381C2
socleC22×C43C23×D4
hypercenter#3381D43
hypocenterC43#62175
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3381

Complements

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

NH ≅ G/Ntype
1. #19149247C2semidirect
2. #19148538C2semidirect
3. #19147549C2semidirect
4. #19147363C2semidirect
5. #19147257C2semidirect
6. #19147189C2semidirect
7. #19147154C2semidirect
8. #19147152C2semidirect
9. #19147132C2semidirect
10. #19147032C2semidirect
11. #19146996C2semidirect
12. #19146828C2semidirect
13. #19146816C2semidirect
14. #19146793C2semidirect
15. #19146748C2semidirect
16. #19146733C2semidirect
17. #19146435C2semidirect
18. #19146058C2semidirect
19. #19146012C2semidirect
20. #19145998C2semidirect
21. #19145896C2semidirect
22. #19145851C2semidirect
23. #19145775C2semidirect
24. #19144868C2semidirect
25. #19144785C2semidirect
26. #19144646C2semidirect
27. #19144447C2semidirect
28. #19144419C2semidirect
29. #19144390C2semidirect
30. #19143743C2semidirect
31. C43×#3381C2semidirect
37. #14583615C22semidirect
38. #14583609C22semidirect
41. #14583602C22semidirect
43. #14583590C22semidirect
44. #14583590C22semidirect
54. #14583529C22semidirect
55. #14583526C22semidirect
59. #14583521C22semidirect
60. #14583521C22semidirect
66. #14583455C22semidirect
68. #14583436C22semidirect
75. #14583309C22semidirect
76. #14583305C22semidirect
77. #14583298C22semidirect
79. #14583261C22semidirect
80. #14583256C22semidirect
81. #14583254C22semidirect
82. #14583254C22semidirect
84. #14583243C22semidirect
85. #14583243C22semidirect
86. #14583242C22semidirect
87. #14583239C22semidirect
88. #14583233C22semidirect
89. #14583231C22semidirect
90. #14583228C22semidirect
92. #14583226C22semidirect
95. #14583225C22semidirect
96. #14583225C22semidirect
98. #14583219C22semidirect
99. #14583219C22semidirect
100. #14583219C22semidirect
101. #14583214C22semidirect
102. #14583209C22semidirect
103. #14583203C22semidirect
104. #14583202C22semidirect
105. #14583200C22semidirect
106. #14583200C22semidirect
109. #14583198C22semidirect
111. #14583196C22semidirect
112. #14583196C22semidirect
113. #14583196C22semidirect
114. #14583195C22semidirect
115. #14583193C22semidirect
116. #14583188C22semidirect
117. #14583188C22semidirect
119. #14583186C22semidirect
120. #14583183C22semidirect
122. #14583178C22semidirect
123. #14583178C22semidirect
125. #14583176C22semidirect
126. #14583156C22semidirect
128. #14583153C22semidirect
131. #14583148C22semidirect
132. #14583146C22semidirect
133. #14583146C22semidirect
134. #14583139C22semidirect
136. #14583136C22semidirect
137. #14583131C22semidirect
138. #14583124C22semidirect
139. #14583121C22semidirect
140. #14583121C22semidirect
141. #14583117C22semidirect
142. #14583117C22semidirect
144. #14583115C22semidirect
145. #14583115C22semidirect
154. #14583030C22semidirect
157. #14583004C22semidirect
158. #14582997C22semidirect
159. C4×#10621873C22semidirect
160. C4×#10621884C22semidirect
161. C4×D344C22semidirect
162. C4×D344C22semidirect
165. #14582978C22semidirect
166. #14582976C22semidirect
168. #14582969C22semidirect
169. C8×D172C22semidirect
170. #14582958C22semidirect
171. #14582958C22semidirect
172. #14582950C22semidirect
173. #14582940C22semidirect
174. #14582940C22semidirect
175. #14582938C22semidirect
176. #14582938C22semidirect
177. #14582936C22semidirect
178. #107×D43C22semidirect
179. #14582924C22semidirect
180. #14582924C22semidirect
181. #14582921C22semidirect
188. C43×#557C22semidirect
190. C43×#499C22semidirect
191. C43×#499C22semidirect
192. C43×#498C22semidirect
193. C43×#479C22semidirect
194. C43×#479C22semidirect
197. C43×#477C22semidirect
199. C8×Q8×C43C22semidirect
827. #3381D43semidirect
868. #557C2×D43semidirect
913. #499C2×D43semidirect
914. #499C2×D43semidirect
915. #498C2×D43semidirect
942. #479C2×D43semidirect
943. #479C2×D43semidirect
958. #477C2×D43semidirect
999. C8×Q8C2×D43semidirect
1036. C43#62175semidirect

Maximal subgroups

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

subgroupindex
#191492472
#191485382
#191475492
#191473632
#191472572
#191471892
#191471542
#191471522
#191471322
#191470322
#191469962
#191468282
#191468162
#191467932
#191467482
#191467332
#191464352
#191460582
#191460122
#191459982
#191458962
#191458512
#191457752
#191448682
#191447852
#191446462
#191444472
#191444192
#191443902
#191437432
C43×#33812
#6217543