Finite Group Databasebeta

← #25979673

Subgroups — #25979673

Order 11008.

1830 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148603C211yesmaximal, characteristic, complemented
2#19148540C211yesmaximal, characteristic, complemented
3#19147664C211yesmaximal, characteristic, complemented
4#19147508C211yesmaximal, characteristic, complemented
5#19147428C211yesmaximal, characteristic, complemented
6#19147407C211yesmaximal, characteristic, complemented
7#19147172C211yesmaximal, characteristic, complemented
8#19147125C211yesmaximal, characteristic, complemented
9#19147093C211yesmaximal, characteristic, complemented
10#19146827C211yesmaximal, characteristic, complemented
11#19146767C211yesmaximal, characteristic, complemented
12#19146746C211yesmaximal, characteristic, complemented
13#19146626C211yesmaximal, characteristic, complemented
14#19146587C211yesmaximal, characteristic, complemented
15#19146219C211yesmaximal, characteristic, complemented
16#19146098C211yesmaximal, characteristic, complemented
17#19146091C211yesmaximal, characteristic, complemented
18#19145277C211yesmaximal, characteristic, complemented
19#19145229C211yesmaximal, characteristic, complemented
20#19145196C211yesmaximal, characteristic, complemented
21#19144888C211yesmaximal, characteristic, complemented
22#19144856C211yesmaximal, characteristic, complemented
23#19144825C211yesmaximal, characteristic, complemented
24#19144774C211yesmaximal, characteristic, complemented
25#19144705C211yesmaximal, characteristic, complemented
26#19144691C211yesmaximal, characteristic, complemented
27#19143581C211yesmaximal, characteristic, complemented
28#19143450C211yesmaximal, characteristic, complemented
29#19143433C211yesmaximal, characteristic, complemented
30#19143408C211yesmaximal, characteristic, complemented
31C43×#3327C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063350C2211yescharacteristic
34C22×#10621884C2211yescharacteristic
35#14583634C2211yescharacteristic
36Q8×Dic86C2211yescharacteristic, complemented
37#14583620—21no—
38#14583620C2211yescharacteristic, complemented
39#14583619—21no—
40#14583619C2211yescharacteristic
41#14583618—21no—
42#14583618C2211yescharacteristic, complemented
43#14583613—21no—
44#14583613C2211yescharacteristic, complemented
45#14583605C2211yescharacteristic
46#14583602—21no—
47#14583593C2211yescharacteristic
48#14583574—21no—
49#14583573—21no—
50Q8×C22⋊D43C2211yescharacteristic, complemented
51#14583556C2211yescharacteristic, complemented
52#14583550C2211yescharacteristic
53#14583541—21no—
54#14583540C2211yescharacteristic
55#14583540C2211yescharacteristic
56D4×D172C2211yescharacteristic
57#14583522C2211yescharacteristic
58#14583518—21no—
59#14583518C2211yescharacteristic, complemented
60#14583516—21no—
61#14583516C2211yescharacteristic, complemented
62#14583505C2211yescharacteristic
63#14583497—21no—
64#14583488—21no—
65#14583451—21no—
66#14583451C2211yescharacteristic, complemented
67#14583435C2211yescharacteristic
68#14583429—21no—
69#14583429C2211yescharacteristic
70#14583411—21no—
71#123×D43—21no—
72#14583381C2211yescharacteristic
73#14583377C2211yescharacteristic, complemented
74#14583375C2211yescharacteristic, complemented
75#14583373C2211yescharacteristic
76#41×Dic43C2211yescharacteristic, complemented
77C2×#13063287C2211yescharacteristic
78#14583309C2211yescharacteristic, complemented
79#14583306C2211yescharacteristic, complemented
80#14583303C2211yescharacteristic, complemented
81#14583292C2211yescharacteristic, complemented
82#14583289C2211yescharacteristic
83#14583280C2211yescharacteristic, complemented
84#14583266C2211yescharacteristic, complemented
85#14583260C2211yescharacteristic, complemented
86#14583260C2211yescharacteristic, complemented
87#14583257C2211yescharacteristic, complemented
88#14583246C2211yescharacteristic
89#14583240C2211yescharacteristic, complemented
90#14583237C2211yescharacteristic, complemented
91#14583237C2211yescharacteristic, complemented
92#14583234C2211yescharacteristic, complemented
93#14583233C2211yescharacteristic, complemented
94#14583226C2211yescharacteristic, complemented
95#14583225C2211yescharacteristic, complemented
96#14583224C2211yescharacteristic
97#14583224C2211yescharacteristic
98#14583211C2211yescharacteristic, complemented
99#14583208C2211yescharacteristic, complemented
100#14583203C2211yescharacteristic, complemented
101#14583201C2211yescharacteristic, complemented
102#14583194C2211yescharacteristic, complemented
103#14583192C2211yescharacteristic, complemented
104#14583188C2211yescharacteristic
105#14583182C2211yescharacteristic, complemented
106#14583180C2211yescharacteristic
107#14583178C2211yescharacteristic
108#14583178C2211yescharacteristic, complemented
109#14583178C2211yescharacteristic, complemented
110#14583155C2211yescharacteristic, complemented
111#14583151C2211yescharacteristic, complemented
112#14583148C2211yescharacteristic, complemented
113#14583147C2211yescharacteristic
114#14583145C2211yescharacteristic
115#14583145C2211yescharacteristic
116#14583138C2211yescharacteristic, complemented
117#14583134C2211yescharacteristic, complemented
118#14583133C2211yescharacteristic
119#14583131C2211yescharacteristic, complemented
120#14583123C2211yescharacteristic, complemented
121#14583123C2211yescharacteristic, complemented
122#14583123C2211yescharacteristic, complemented
123#14583116C2211yescharacteristic, complemented
124#14583113C2211yescharacteristic
125#14583113C2211yescharacteristic, complemented
126#14583111C2211yescharacteristic
127#14583103C2211yescharacteristic
128#14583103C2211yescharacteristic, complemented
129#14583100C2211yescharacteristic
130#14583099C2211yescharacteristic
131#14583060C2211yescharacteristic
132#14583052C2211yescharacteristic
133#14583052C2211yescharacteristic
134#14583049C2211yescharacteristic
135#14583044C2211yescharacteristic
136#14583043C2211yescharacteristic
137#14583039C2211yescharacteristic, complemented
138#14583039C2211yescharacteristic, complemented
139#14583038C2211yescharacteristic
140#14583032C2211yescharacteristic
141#14583029C2211yescharacteristic, complemented
142#14583028C2211yescharacteristic, complemented
143#14583008C2211yescharacteristic
144#14583008C2211yescharacteristic, complemented
145#14583008C2211yescharacteristic, complemented
146#14583006C2211yescharacteristic, complemented
147#14583004C2211yescharacteristic, complemented
148#14583002C2211yescharacteristic
149#14583002C2211yescharacteristic
150#14583002C2211yescharacteristic
151#14583002C2211yescharacteristic, complemented
152#14583002C2211yescharacteristic, complemented
153#14583002C2211yescharacteristic, complemented
154#14583002C2211yescharacteristic, complemented
155#14583000C2211yescharacteristic, complemented
156#14582998C2211yescharacteristic
157#14582998C2211yescharacteristic, complemented
158#14582997C2211yescharacteristic
159Q16×Dic43C2211yescharacteristic, complemented
160#14582991C2211yescharacteristic, complemented
161C4×#10621873C2211yescharacteristic
162#14582986C2211yescharacteristic, complemented
163#14582984C2211yescharacteristic
164#14582984C2211yescharacteristic
165#14582984C2211yescharacteristic, complemented
166#14582984C2211yescharacteristic, complemented
167#14582984C2211yescharacteristic, complemented
168#14582979C2211yescharacteristic
169#14582979C2211yescharacteristic, complemented
170#14582974C2211yescharacteristic, complemented
171#14582971C2211yescharacteristic
172#14582968C2211yescharacteristic, complemented
173#14582968C2211yescharacteristic, complemented
174#14582967C2211yescharacteristic, complemented
175#14582959C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic, complemented
178#14582940C2211yescharacteristic, complemented
179#14582939C2211yescharacteristic, complemented
180#14582935C2211yescharacteristic, complemented
181#14582905C2211yescharacteristic
182#14582905C2211yescharacteristic
183#14582894C2211yescharacteristic
184#103×D43C2211yescharacteristic, complemented
185#14582857C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187M16×Dic43C2211yescharacteristic, complemented
188C43×#552C2211yescharacteristic
189C43×#548C2211yescharacteristic
190C43×#488C2211yescharacteristic, complemented
191C43×#484C2211yescharacteristic, complemented
192C43×#482C2211yescharacteristic, complemented
193C43×#479C2211yescharacteristic, complemented
194C43×#470C2211yescharacteristic, complemented
195C43×#468C2211yescharacteristic, complemented
196C43×#464C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic, complemented
198C43×#451C2211yescharacteristic, complemented
199C4×Q16×C43C2211yescharacteristic, complemented
200C43×#436C2211yescharacteristic
201C43×#419C2211yescharacteristic, complemented
202C43×#417C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×Q8×D43C2311yescharacteristic
206C22×D172C2311yescharacteristic
207C22×D172C2311yescharacteristic
208C2×D4×D43—21no—
209C22×C4×D43—21no—
210#13063357—24no—
211#13063350—24no—
212C2×#10621885C2311yescharacteristic
213C2×#10621873C2311yescharacteristic
214C2×#10621873C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621884—24no—
217C2×#10621884C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621877C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C22×C43⋊C8C2311yescharacteristic
229C2×C8×D43C2311yescharacteristic
230#13063325—21no—
231#13063325C2311yescharacteristic
232#13063324—21no—
233#13063324—21no—
234#13063324C2311yescharacteristic
235#13063324C2311yescharacteristic
236#13063324C2311yescharacteristic
237#13063323—21no—
238#13063323C2311yescharacteristic
239#13063322C2311yescharacteristic
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320D411yescharacteristic
244#13063319—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318—21no—
251#13063318—21no—
252#13063318D411yescharacteristic
253#13063316C2311yescharacteristic
254#13063315—21no—
255#13063315D411yescharacteristic
256#13063314C2311yescharacteristic
257#13063314C2311yescharacteristic
258#13063313—21no—
259#13063312—21no—
260#13063312—21no—
261#13063312—21no—
262#13063312—21no—
263#13063312C2311yescharacteristic
264#13063311—21no—
265#13063311—21no—
266#13063311—21no—
267#13063311—21no—
268#13063311D411yescharacteristic
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310—21no—
276#13063309—21no—
277#13063309—21no—
278#13063309D411yescharacteristic
279#13063308—21no—
280#13063307—21no—
281#13063307—21no—
282#13063306—21no—
283#13063306D411yescharacteristic
284#13063305—21no—
285#13063305—21no—
286#13063304—21no—
287#13063304—21no—
288#13063304C2311yescharacteristic
289#13063304C2311yescharacteristic
290#13063303—21no—
291#13063303—21no—
292#13063303—21no—
293#13063302—21no—
294#13063302—21no—
295#13063302—21no—
296#13063302—21no—
297#13063302D411yescharacteristic
298#13063301—21no—
299#13063301C2311yescharacteristic
300#13063300—21no—
301#13063300—21no—
302#13063300—21no—
303#13063300—21no—
304#13063300—21no—
305#13063300C2311yescharacteristic
306#13063300C2311yescharacteristic
307#13063299C2311yescharacteristic
308#13063299C2311yescharacteristic
309#13063298—21no—
310#13063297—21no—
311#13063297D411yescharacteristic
312#13063296—21no—
313#13063296C2311yescharacteristic
314#13063295—21no—
315#13063295—21no—
316#13063295—21no—
317#13063295—21no—
318Q8×Dic43—21no—
319Q8×Dic43—21no—
320Q8×Dic43C2311yescharacteristic
321Q8×Dic43C2311yescharacteristic
322Q8×Dic43C2311yescharacteristic
323Q8×Dic43C2311yescharacteristic
324Q8×Dic43C2311yescharacteristic
325Q8×Dic43C2311yescharacteristic
326C4×Dic86—21no—
327C4×Dic86—21no—
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330#13063290—21no—
331#13063290—21no—
332#13063290—21no—
333#13063290—21no—
334#13063290C2311yescharacteristic
335C4×D172—21no—
336C4×D172—21no—
337C4×D172—21no—
338C4×D172—21no—
339C4×D172—21no—
340C4×D172C2311yescharacteristic
341D4×Dic43—21no—
342D4×Dic43—21no—
343D4×Dic43C2311yescharacteristic
344D4×Dic43C2311yescharacteristic
345#13063287—21no—
346#13063287—21no—
347#13063287—21no—
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350#13063287C2311yescharacteristic
351#13063287C2311yescharacteristic
352#13063287C2311yescharacteristic
353#13063287C2311yescharacteristic
354#13063287C2311yescharacteristic
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43C2311yescharacteristic
358C4×C22⋊D43C2311yescharacteristic
359(C22⋊D43)⋊C4—21no—
360#13063284—21no—
361#13063284—21no—
362#13063284—21no—
363#13063284C2311yescharacteristic
364#13063284C2311yescharacteristic
365#13063284C2311yescharacteristic
366#13063283—21no—
367#13063283—21no—
368#13063283C2311yescharacteristic
369#13063282—21no—
370#13063282—21no—
371#13063282C2311yescharacteristic
372#13063281—21no—
373#13063281—21no—
374#13063281—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43—21no—
377C4⋊C4×D43C2311yescharacteristic
378C2×(C2×D43)⋊C4—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C2×C4×Dic43—21no—
384C2×C4×Dic43C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C22×Q8×C43C2311yescharacteristic
440C2×Q16×C43C2311yescharacteristic
441C2×Q16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×M16×C43C2311yescharacteristic
444C2×M16×C43C2311yescharacteristic
445#126×C43—21no—
446#125×C43—21no—
447#125×C43C2311yescharacteristic
448#124×C43—21no—
449#124×C43C2311yescharacteristic
450#123×C43—21no—
451C22⋊Q8×C43—21no—
452C22⋊Q8×C43C2311yescharacteristic
453C22⋊Q8×C43C2311yescharacteristic
454C22⋊Q8×C43C2311yescharacteristic
455#121×C43—21no—
456#121×C43C2311yescharacteristic
457C4×Q8×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×D4×C43—21no—
460C4×D4×C43C2311yescharacteristic
461#117×C43—21no—
462#117×C43C2311yescharacteristic
463C2×C4⋊C4×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#106×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
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483#41×C43—22no—
484#41×C43—41no—
485C2×Q8×C43—21no—
486C2×Q8×C43—22no—
487C2×Q8×C43—41no—
488C2×Q8×C43C2411yescharacteristic
489C2×Q8×C43C2411yescharacteristic
490C2×Q8×C43C2411yescharacteristic
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43C2×D411yescharacteristic
494C2×D4×C43C2411yescharacteristic
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43C2411yescharacteristic
499C22×C4×C43C2411yescharacteristic
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×Dic43C2×D411yescharacteristic
508C22×Dic43C2×D411yescharacteristic
509#10621902—22no—
510#10621902—41no—
511Q8×D43—22no—
512Q8×D43—41no—
513D4×D43—82no—
514#10621898—82no—
515C2×D172—21no—
516C2×D172—21no—
517C2×D172—21no—
518C2×D172—21no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172—21no—
522C2×D172—22no—
523C2×D172—22no—
524C2×D172—41no—
525C2×D172—41no—
526C2×D172C2411yescharacteristic
527C2×D172C2411yescharacteristic
528C2×D172C2411yescharacteristic
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×D43C2411yescharacteristic
542C2×Dic86—21no—
543C2×Dic86—21no—
544C2×Dic86—21no—
545C2×Dic86—21no—
546C2×Dic86—21no—
547C2×Dic86C2×D411yescharacteristic
548C2×Dic86C2411yescharacteristic
549Q16×C43—22no—
550Q16×C43—41no—
551SD16×C43—41no—
552M16×C43—41no—
553M16×C43—41no—
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×C43C2×D411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43C2×D411yescharacteristic
579C22⋊C4×C43C2×D411yescharacteristic
580C42×C43—21no—
581C42×C43—21no—
582C42×C43—21no—
583C42×C43C2411yescharacteristic
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43C2×D411yescharacteristic
594C22⋊Dic43C2×D411yescharacteristic
595C22⋊Dic43C2×D411yescharacteristic
596C22⋊Dic43C2×D411yescharacteristic
597#10621885—22no—
598#10621884—22no—
599#10621884—22no—
600#10621884—22no—
601#10621884—22no—
602#10621884—41no—
603#10621884#4114yescomplemented
604#10621882—22no—
605#10621882—22no—
606#10621882—41no—
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)⋊C4C2×D411yescharacteristic
626(C2×D43)⋊C4C2×D411yescharacteristic
627(C2×D43)⋊C4C2×D411yescharacteristic
628(C2×D43)⋊C4C2×D411yescharacteristic
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43—21no—
635C4⋊Dic43—21no—
636C4⋊Dic43—21no—
637C4⋊Dic43C2×D411yescharacteristic
638C4⋊Dic43C2×D411yescharacteristic
639C4⋊Dic43C2×D411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
641C4⋊Dic43C2411yescharacteristic
642C4⋊Dic43C2411yescharacteristic
643C4⋊Dic43C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
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
676C4×Dic43C2411yescharacteristic
677C4×Dic43C2411yescharacteristic
678#10621877—22no—
679C2×C43⋊C8—22no—
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684#10621873—22no—
685#10621873—41no—
686#10621873—41no—
687#10621872—22no—
688C8×D43—41no—
689C23×C43—21no—
690C23×C43C22×D411yescharacteristic
691C23×C43C22×D411yescharacteristic
692C22×D43—21no—
693C22×D43—21no—
694C22×D43—21no—
695C22×D43—42no—
696C22×D43—42no—
697C22×D43—42no—
698C22×D43—81no—
699C22×D43—81no—
700C22×D43—81no—
701C22×D43C22×D411yescharacteristic
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—21no—
705Q8×C43—21no—
706Q8×C43—21no—
707Q8×C43—42no—
708Q8×C43C2×#4112yes—
709D4×C43—21no—
710D4×C43—21no—
711D4×C43—41no—
712D4×C43—42no—
713D4×C43—81no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—42no—
726C2×C4×C43—42no—
727C2×C4×C43—42no—
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C2511yescharacteristic
733C22⋊D43—41no—
734C22⋊D43—41no—
735C22⋊D43—42no—
736C22⋊D43—81no—
737C22⋊D43—81no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—41no—
744C2×Dic43—41no—
745C2×Dic43—42no—
746C2×Dic43—81no—
747C2×Dic43C22×D411yescharacteristic
748C2×Dic43C22×D411yescharacteristic
749C2×Dic43C22×D411yescharacteristic
750C2×Dic43C22×D411yescharacteristic
751C2×Dic43C22×D411yescharacteristic
752C2×Dic43C22×D411yescharacteristic
753C2×Dic43C22×D411yescharacteristic
754D172—21no—
755D172—21no—
756D172—21no—
757D172—21no—
758D172—21no—
759D172—42no—
760D172—42no—
761D172—42no—
762D172—81no—
763D172—81no—
764D172—81no—
765D172—81no—
766D172C2×#4112yes—
767C4×D43—21no—
768C4×D43—21no—
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—
780Dic86—21no—
781Dic86—21no—
782Dic86—41no—
783Dic86—42no—
784Dic86—81no—
785Dic86—81no—
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#61503—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—21no—
801C22×C43—21no—
802C22×C43—21no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43C23×D411yescharacteristic
807C2×D43—21no—
808C2×D43—21no—
809C2×D43—22no—
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—
820C2×D43—162no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—22no—
824C4×C43—21no—
825C4×C43—21no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43—41no—
832C4×C43C22×#4111yescharacteristic
833C4×C43#58511yescharacteristic
834Dic43—21no—
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—21no—
839Dic43—21no—
840Dic43—21no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846#3518—431no—
847#3513—431no—
848#3401—431no—
849#3385—431no—
850#3376—431no—
851#3375—431no—
852#3353—431no—
853#3349—431no—
854#3347—431no—
855#3327D4311yescharacteristic, complemented
856#3324—431no—
857#3320—431no—
858#3319—431no—
859#3311—431no—
860#3308—431no—
861#3275—431no—
862#3266—431no—
863#3265—431no—
864#3179—431no—
865#3175—431no—
866#3172—431no—
867#3126—431no—
868#3124—431no—
869#3121—431no—
870#3118—431no—
871#3111—431no—
872#3110—431no—
873#2967—431no—
874#2949—431no—
875#2947—431no—
876C4×AGL(1,ℤ/8)—431no—
877C2×C43—41no—
878C2×C43—41no—
879C2×C43—81no—
880C2×C43D4×#4111yescharacteristic
881C2×C43#358511yescharacteristic
882C2×C43#358611yescharacteristic
883D43—41no—
884D43—42no—
885D43—81no—
886D43—81no—
887C2×#137—431no—
888C2×AGL(1,ℤ/8)—431no—
889C22×SD16—431no—
890#559—431no—
891Q82—431no—
892#556—431no—
893#556—431no—
894#556—431no—
895#556—861no—
896#556—861no—
897#556—861no—
898#555—431no—
899#555—861no—
900#554—431no—
901#553—431no—
902#553—861no—
903#552C2×D4311yescharacteristic
904#551—861no—
905#551—861no—
906D4×Q8—431no—
907#548—431no—
908#548C2×D4311yescharacteristic
909#547—431no—
910#546—431no—
911#546—431no—
912#546—861no—
913D42—431no—
914#542—431no—
915#542—431no—
916#542—431no—
917#542—861no—
918#542—861no—
919#540—431no—
920#539—861no—
921#538—861no—
922#533—431no—
923#533—861no—
924#529—431no—
925#529—431no—
926#529—861no—
927#525—861no—
928C2×#123—861no—
929#520—431no—
930#519—431no—
931#519—431no—
932#518—431no—
933C4×#41—431no—
934C2×C4×D4—431no—
935#501—431no—
936#501—431no—
937#500—431no—
938#497—431no—
939#496—431no—
940#495—431no—
941#491—431no—
942#489—431no—
943#489—431no—
944#489—431no—
945#488C2×D4311yescharacteristic, complemented
946#486—431no—
947#485—431no—
948#485—431no—
949#485—431no—
950#484—431no—
951#484—431no—
952#484C2×D4311yescharacteristic, complemented
953#482—431no—
954#482—431no—
955#482—431no—
956#482—431no—
957#482C2×D4311yescharacteristic, complemented
958#480—431no—
959#479—431no—
960#479—431no—
961#479C2×D4311yescharacteristic, complemented
962#478—431no—
963#477—431no—
964#477—431no—
965#476—431no—
966#475—431no—
967#474—431no—
968#474—431no—
969#474—431no—
970#474—431no—
971#470—431no—
972#470C2×D4311yescharacteristic, complemented
973#469—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#468C2×D4311yescharacteristic, complemented
979#467—431no—
980#466—431no—
981#466—431no—
982#465—431no—
983#464—431no—
984#464—431no—
985#464—431no—
986#464C2×D4311yescharacteristic, complemented
987#463—431no—
988#463—431no—
989#463—431no—
990#463—431no—
991#461—431no—
992#461—431no—
993#460—431no—
994#460—431no—
995#452—431no—
996#452C2×D4311yescharacteristic, complemented
997#451C2×D4311yescharacteristic, complemented
998#450—431no—
999#450—431no—
1000#450—431no—
1001#449—431no—
1002#449—431no—
1003#448—431no—
1004#448—431no—
1005#448—431no—
1006#447—431no—
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#441—431no—
1013#441—431no—
1014#440—431no—
1015#440—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440—431no—
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×Q16C2×D4311yescharacteristic, complemented
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×SD16—431no—
1034C4×SD16—431no—
1035C4×D8—431no—
1036C4×D8—431no—
1037#436—431no—
1038#436C2×D4311yescharacteristic
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#435—431no—
1043#433—431no—
1044#433—431no—
1045#432—431no—
1046#428—431no—
1047#428—431no—
1048#427—431no—
1049#419C2×D4311yescharacteristic, complemented
1050#418—431no—
1051#418—431no—
1052#417C2×D4311yescharacteristic, complemented
1053#416—431no—
1054C2×#103—431no—
1055#405—431no—
1056#405—431no—
1057C4×M16—431no—
1058C43#6150311yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—861no—
1061C2×#41C22×D4311yescharacteristic
1062C22×Q8—431no—
1063C22×Q8C22×D4311yescharacteristic
1064C22×D4—431no—
1065C22×D4—431no—
1066C22×D4—861no—
1067C23×C4—861no—
1068#137—864no—
1069AGL(1,ℤ/8)—864no—
1070C2×Q16—431no—
1071C2×Q16C22×D4311yescharacteristic
1072C2×Q16C22×D4311yescharacteristic
1073C2×SD16—431no—
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—431no—
1082C2×SD16—864no—
1083C2×SD16C22×D4311yescharacteristic
1084C2×D8—431no—
1085C2×D8—431no—
1086C2×D8—431no—
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16C22×D4311yescharacteristic
1090C2×M16C22×D4311yescharacteristic
1091C22×C8—431no—
1092C22×C8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—431no—
1097C4⋊Q8—431no—
1098C4⋊Q8—861no—
1099C4⋊Q8—861no—
1100C4⋊Q8—861no—
1101C4⋊Q8—861no—
1102#127—431no—
1103#126—21no—
1104#126—431no—
1105#126—431no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#126—861no—
1110#126—861no—
1111#126—861no—
1112#126—861no—
1113#126—861no—
1114#126—861no—
1115#126—861no—
1116#126—861no—
1117#125—21no—
1118#125—431no—
1119#125—431no—
1120#125—861no—
1121#125C22×D4311yescharacteristic
1122#124—21no—
1123#124—431no—
1124#124—431no—
1125#124—431no—
1126#124—431no—
1127#124—861no—
1128#124—861no—
1129#124—861no—
1130#124—861no—
1131#124—861no—
1132#124—861no—
1133#124—861no—
1134#124—861no—
1135#124—861no—
1136#124C22×D4311yescharacteristic
1137#123—21no—
1138#123—431no—
1139#123—431no—
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—
1150#123—861no—
1151#123—861no—
1152#123—861no—
1153C22⋊Q8—21no—
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⋊Q8C22×D4311yescharacteristic
1171C22⋊Q8C22×D4311yescharacteristic
1172C22⋊Q8C22×D4311yescharacteristic
1173#121—21no—
1174#121—431no—
1175#121—431no—
1176#121—431no—
1177#121—431no—
1178#121—431no—
1179#121—431no—
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#121C22×D4311yescharacteristic
1189#120—861no—
1190#120—861no—
1191#120—861no—
1192#120—861no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—431no—
1201C4×Q8—431no—
1202C4×Q8—861no—
1203C4×Q8—861no—
1204C4×Q8—861no—
1205C4×Q8—861no—
1206C4×Q8—861no—
1207C4×Q8—861no—
1208C4×Q8—861no—
1209C4×Q8—861no—
1210C4×Q8C22×D4311yescharacteristic
1211C4×Q8C22×D4311yescharacteristic
1212C4×D4—21no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—431no—
1219C4×D4—431no—
1220C4×D4—431no—
1221C4×D4—431no—
1222C4×D4—431no—
1223C4×D4—431no—
1224C4×D4—431no—
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×D4—861no—
1238C4×D4C22×D4311yescharacteristic
1239#117—21no—
1240#117—431no—
1241#117—431no—
1242#117—431no—
1243#117—431no—
1244#117—431no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248#117—861no—
1249#117—861no—
1250#117—861no—
1251#117—861no—
1252#117—861no—
1253#117—861no—
1254#117—861no—
1255#117C22×D4311yescharacteristic
1256C2×C4⋊C4—431no—
1257C2×C4⋊C4—861no—
1258C2×C4⋊C4—861no—
1259C2×C4⋊C4C22×D4311yescharacteristic
1260C2×C22⋊C4—861no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C22⋊C4—861no—
1265C2×C42—431no—
1266C2×C42—861no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#107—431no—
1275#107C22×D4311yescharacteristic
1276#107C22×D4311yescharacteristic
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106—431no—
1282#106C22×D4311yescharacteristic
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288C4⋊C8C22×D4311yescharacteristic
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#103—431no—
1298#103C22×D4311yescharacteristic
1299#103C22×D4311yescharacteristic
1300#103C22×D4311yescharacteristic
1301#103C22×D4311yescharacteristic
1302#103C22×D4311yescharacteristic
1303#103C22×D4311yescharacteristic
1304#103C22×D4311yescharacteristic
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#102—431no—
1318#102C22×D4311yescharacteristic
1319#102C22×D4311yescharacteristic
1320#102C22×D4311yescharacteristic
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8C22×D4311yescharacteristic
1326C22⋊C8C22×D4311yescharacteristic
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97—431no—
1332#97—431no—
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8—431no—
1336C4×C8C22×D4311yescharacteristic
1337C24—861no—
1338C24—861no—
1339#41—22no—
1340#41—41no—
1341#41—862no—
1342#41—3442no—
1343#41—1721no—
1344C2×Q8—21no—
1345C2×Q8—22no—
1346C2×Q8—41no—
1347C2×Q8—431no—
1348C2×Q8—431no—
1349C2×Q8—861no—
1350C2×Q8—861no—
1351C2×Q8—861no—
1352C2×Q8—861no—
1353C2×Q8—861no—
1354C2×Q8—862no—
1355C2×Q8—1721no—
1356C2×Q8C23×D4311yescharacteristic
1357C2×Q8C23×D4311yescharacteristic
1358C2×Q8C23×D4311yescharacteristic
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—431no—
1362C2×D4—431no—
1363C2×D4—431no—
1364C2×D4—431no—
1365C2×D4—431no—
1366C2×D4—862no—
1367C2×D4—862no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—3442no—
1379C2×D4—1721no—
1380C2×D4—1721no—
1381C2×D4D4×D4311yescharacteristic
1382C2×D4C23×D4311yescharacteristic
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—431no—
1387C22×C4—431no—
1388C22×C4—431no—
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—3442no—
1403C22×C4C23×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405Q16—22no—
1406Q16—41no—
1407Q16—862no—
1408SD16—41no—
1409SD16—434no—
1410SD16—862no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—862no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—862no—
1419D8—862no—
1420D8—1721no—
1421M16—41no—
1422M16—41no—
1423M16—862no—
1424M16—862no—
1425C2×C8—431no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—862no—
1430C2×C8—1721no—
1431C2×C8C23×D4311yescharacteristic
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—431no—
1444C4⋊C4—431no—
1445C4⋊C4—431no—
1446C4⋊C4—431no—
1447C4⋊C4—431no—
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—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1477C4⋊C4C23×D4311yescharacteristic
1478C4⋊C4C23×D4311yescharacteristic
1479C4⋊C4C23×D4311yescharacteristic
1480C4⋊C4C23×D4311yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—431no—
1489C22⋊C4—431no—
1490C22⋊C4—431no—
1491C22⋊C4—431no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
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⋊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⋊C4D4×D4311yescharacteristic
1524C22⋊C4D4×D4311yescharacteristic
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—431no—
1529C42—431no—
1530C42—431no—
1531C42—431no—
1532C42—431no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42—861no—
1544C42C23×D4311yescharacteristic
1545C23—21no—
1546C23—431no—
1547C23—861no—
1548C23—861no—
1549C23—861no—
1550C23—3441no—
1551C23—3441no—
1552C23—3441no—
1553C23—1722no—
1554C23—1722no—
1555C23—1722no—
1556C23C2×D4×D4311yescharacteristic
1557C23C2×D4×D4311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—21no—
1563Q8—42no—
1564Q8—861no—
1565Q8—861no—
1566Q8—3441no—
1567Q8—3441no—
1568Q8—3441no—
1569Q8—3441no—
1570Q8—1721no—
1571Q8—1722no—
1572Q8#41×D4312yes—
1573D4—21no—
1574D4—21no—
1575D4—41no—
1576D4—42no—
1577D4—81no—
1578D4—432no—
1579D4—861no—
1580D4—861no—
1581D4—861no—
1582D4—861no—
1583D4—861no—
1584D4—3441no—
1585D4—3441no—
1586D4—3441no—
1587D4—3441no—
1588D4—3441no—
1589D4—3441no—
1590D4—1722no—
1591D4—1722no—
1592D4—1722no—
1593D4—1721no—
1594D4—1721no—
1595D4—1722no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—42no—
1608C2×C4—42no—
1609C2×C4—42no—
1610C2×C4—431no—
1611C2×C4—431no—
1612C2×C4—431no—
1613C2×C4—431no—
1614C2×C4—431no—
1615C2×C4—431no—
1616C2×C4—431no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—861no—
1623C2×C4—861no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—3441no—
1632C2×C4—3441no—
1633C2×C4—3441no—
1634C2×C4—1722no—
1635C2×C4—1722no—
1636C2×C4—1721no—
1637C2×C4—1721no—
1638C2×C4—1722no—
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C2×D4×D4311yescharacteristic
1643C2×C4C24×D4311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—432no—
1649C8—861no—
1650C8—861no—
1651C8—861no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—861no—
1662C22—862no—
1663C22—861no—
1664C22—861no—
1665C22—3444no—
1666C22—1721no—
1667C22—1721no—
1668C22—1721no—
1669C22—1721no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22—1721no—
1674C22—6882no—
1675C22C22×D4×D4311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—22no—
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—861no—
1693C4—861no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C2×#41×D4311yescharacteristic
1700C4#1458373411yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—81no—
1704C2—3441no—
1705C2—3441no—
1706C2—1721no—
1707C2—1722no—
1708C2#1914807911yescharacteristic
1709C2#1914937211yescharacteristic
1710C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3327C2
socleC22×C43C23×D4
hypercenter#3327D43
hypocenterC43#61503
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3327

Complements

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

NH ≅ G/Ntype
1. #19148603C2semidirect
2. #19148540C2semidirect
3. #19147664C2semidirect
4. #19147508C2semidirect
5. #19147428C2semidirect
6. #19147407C2semidirect
7. #19147172C2semidirect
8. #19147125C2semidirect
9. #19147093C2semidirect
10. #19146827C2semidirect
11. #19146767C2semidirect
12. #19146746C2semidirect
13. #19146626C2semidirect
14. #19146587C2semidirect
15. #19146219C2semidirect
16. #19146098C2semidirect
17. #19146091C2semidirect
18. #19145277C2semidirect
19. #19145229C2semidirect
20. #19145196C2semidirect
21. #19144888C2semidirect
22. #19144856C2semidirect
23. #19144825C2semidirect
24. #19144774C2semidirect
25. #19144705C2semidirect
26. #19144691C2semidirect
27. #19143581C2semidirect
28. #19143450C2semidirect
29. #19143433C2semidirect
30. #19143408C2semidirect
31. C43×#3327C2semidirect
36. Q8×Dic86C22semidirect
38. #14583620C22semidirect
42. #14583618C22semidirect
44. #14583613C22semidirect
50. Q8×C22⋊D43C22semidirect
51. #14583556C22semidirect
59. #14583518C22semidirect
61. #14583516C22semidirect
66. #14583451C22semidirect
73. #14583377C22semidirect
74. #14583375C22semidirect
76. #41×Dic43C22semidirect
78. #14583309C22semidirect
79. #14583306C22semidirect
80. #14583303C22semidirect
81. #14583292C22semidirect
83. #14583280C22semidirect
84. #14583266C22semidirect
85. #14583260C22semidirect
86. #14583260C22semidirect
87. #14583257C22semidirect
89. #14583240C22semidirect
90. #14583237C22semidirect
91. #14583237C22semidirect
92. #14583234C22semidirect
93. #14583233C22semidirect
94. #14583226C22semidirect
95. #14583225C22semidirect
98. #14583211C22semidirect
99. #14583208C22semidirect
100. #14583203C22semidirect
101. #14583201C22semidirect
102. #14583194C22semidirect
103. #14583192C22semidirect
105. #14583182C22semidirect
108. #14583178C22semidirect
109. #14583178C22semidirect
110. #14583155C22semidirect
111. #14583151C22semidirect
112. #14583148C22semidirect
116. #14583138C22semidirect
117. #14583134C22semidirect
119. #14583131C22semidirect
120. #14583123C22semidirect
121. #14583123C22semidirect
122. #14583123C22semidirect
123. #14583116C22semidirect
125. #14583113C22semidirect
128. #14583103C22semidirect
137. #14583039C22semidirect
138. #14583039C22semidirect
141. #14583029C22semidirect
142. #14583028C22semidirect
144. #14583008C22semidirect
145. #14583008C22semidirect
146. #14583006C22semidirect
147. #14583004C22semidirect
151. #14583002C22semidirect
152. #14583002C22semidirect
153. #14583002C22semidirect
154. #14583002C22semidirect
155. #14583000C22semidirect
157. #14582998C22semidirect
159. Q16×Dic43C22semidirect
160. #14582991C22semidirect
162. #14582986C22semidirect
165. #14582984C22semidirect
166. #14582984C22semidirect
167. #14582984C22semidirect
169. #14582979C22semidirect
170. #14582974C22semidirect
172. #14582968C22semidirect
173. #14582968C22semidirect
174. #14582967C22semidirect
175. #14582959C22semidirect
176. #14582957C22semidirect
177. #14582953C22semidirect
178. #14582940C22semidirect
179. #14582939C22semidirect
180. #14582935C22semidirect
184. #103×D43C22semidirect
185. #14582857C22semidirect
186. #14582853C22semidirect
187. M16×Dic43C22semidirect
190. C43×#488C22semidirect
191. C43×#484C22semidirect
192. C43×#482C22semidirect
193. C43×#479C22semidirect
194. C43×#470C22semidirect
195. C43×#468C22semidirect
196. C43×#464C22semidirect
197. C43×#452C22semidirect
198. C43×#451C22semidirect
199. C4×Q16×C43C22semidirect
201. C43×#419C22semidirect
202. C43×#417C22semidirect
603. #10621884#41semidirect
855. #3327D43semidirect
945. #488C2×D43semidirect
952. #484C2×D43semidirect
957. #482C2×D43semidirect
961. #479C2×D43semidirect
972. #470C2×D43semidirect
978. #468C2×D43semidirect
986. #464C2×D43semidirect
996. #452C2×D43semidirect
997. #451C2×D43semidirect
1027. C4×Q16C2×D43semidirect
1049. #419C2×D43semidirect
1052. #417C2×D43semidirect
1058. C43#61503semidirect

Maximal subgroups

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

subgroupindex
#191486032
#191485402
#191476642
#191475082
#191474282
#191474072
#191471722
#191471252
#191470932
#191468272
#191467672
#191467462
#191466262
#191465872
#191462192
#191460982
#191460912
#191452772
#191452292
#191451962
#191448882
#191448562
#191448252
#191447742
#191447052
#191446912
#191435812
#191434502
#191434332
#191434082
C43×#33272
#6150343