Finite Group Databasebeta

← #25974487

Subgroups — #25974487

Order 11008.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148309C211yesmaximal, characteristic, complemented
2#19148269C211yesmaximal, characteristic, complemented
3#19146888C211yesmaximal, characteristic, complemented
4#19146887C211yesmaximal, characteristic, complemented
5#19146816C211yesmaximal, characteristic, complemented
6#19146804C211yesmaximal, characteristic, complemented
7#19146748C211yesmaximal, characteristic, complemented
8#19146747C211yesmaximal, characteristic, complemented
9#19146667C211yesmaximal, characteristic, complemented
10#19146655C211yesmaximal, characteristic, complemented
11#19146653C211yesmaximal, characteristic, complemented
12#19146652C211yesmaximal, characteristic, complemented
13#19146571C211yesmaximal, characteristic, complemented
14#19146567C211yesmaximal, characteristic, complemented
15#19146505C211yesmaximal, characteristic, complemented
16#19146500C211yesmaximal, characteristic, complemented
17#19146499C211yesmaximal, characteristic, complemented
18#19144955C211yesmaximal, characteristic, complemented
19#19144581C211yesmaximal, characteristic, complemented
20#485×D43C211yesmaximal, characteristic, complemented
21#19144441C211yesmaximal, characteristic, complemented
22#19144266C211yesmaximal, characteristic, complemented
23#19144222C211yesmaximal, characteristic, complemented
24#19144142C211yesmaximal, characteristic, complemented
25#19143914C211yesmaximal, characteristic, complemented
26#19143816C211yesmaximal, characteristic, complemented
27#19143473C211yesmaximal, characteristic, complemented
28#19143315C211yesmaximal, characteristic, complemented
29#19143124C211yesmaximal, characteristic, complemented
30#19143110C211yesmaximal, characteristic, complemented
31C43×#3302C211yesmaximal, characteristic, complemented
32C2×#13063372C2211yescharacteristic
33C2×#41×D43C2211yescharacteristic
34C2×#13063357C2211yescharacteristic, complemented
35C2×#13063348C2211yescharacteristic
36C2×#13063346C2211yescharacteristic
37C2×#13063331C2211yescharacteristic, complemented
38C22×#10621872C2211yescharacteristic
39#14583621—21no—
40#14583620C2211yescharacteristic, complemented
41#14583615C2211yescharacteristic
42#14583612C2211yescharacteristic
43#14583611—21no—
44#14583600—21no—
45#14583595C2211yescharacteristic, complemented
46#14583593C2211yescharacteristic, complemented
47#14583591C2211yescharacteristic
48#14583590C2211yescharacteristic
49#14583585—21no—
50#14583564C2211yescharacteristic
51#14583562C2211yescharacteristic
52#14583559C2211yescharacteristic
53#14583558C2211yescharacteristic
54#14583550—21no—
55#14583548C2211yescharacteristic
56#14583547—21no—
57#14583544C2211yescharacteristic
58#14583541—21no—
59#14583538—21no—
60#14583537C2211yescharacteristic
61#14583526C2211yescharacteristic, complemented
62#14583488—21no—
63#14583483—21no—
64#14583479C2211yescharacteristic
65#14583479C2211yescharacteristic, complemented
66#14583476—21no—
67#14583474C2211yescharacteristic
68#14583471—21no—
69#14583436—21no—
70#14583432—21no—
71#14583412C2211yescharacteristic
72#14583408C2211yescharacteristic
73#14583407—21no—
74C2×#13063303—21no—
75C22⋊Q8×D43C2211yescharacteristic
76#14583381C2211yescharacteristic, complemented
77#14583379C2211yescharacteristic, complemented
78#14583378C2211yescharacteristic
79#117×D43C2211yescharacteristic
80#14583267C2211yescharacteristic, complemented
81#14583266C2211yescharacteristic, complemented
82#14583261C2211yescharacteristic, complemented
83#14583260C2211yescharacteristic, complemented
84#14583255C2211yescharacteristic, complemented
85#14583254C2211yescharacteristic, complemented
86#14583248C2211yescharacteristic, complemented
87#14583243C2211yescharacteristic
88#14583242C2211yescharacteristic
89#14583241C2211yescharacteristic, complemented
90#14583240C2211yescharacteristic, complemented
91#14583239C2211yescharacteristic
92#14583238C2211yescharacteristic
93#14583238C2211yescharacteristic, complemented
94#14583237C2211yescharacteristic, complemented
95#14583228C2211yescharacteristic, complemented
96#14583227C2211yescharacteristic, complemented
97#14583226C2211yescharacteristic, complemented
98#14583223C2211yescharacteristic, complemented
99#14583219C2211yescharacteristic, complemented
100#14583218C2211yescharacteristic, complemented
101#14583207C2211yescharacteristic, complemented
102#14583205C2211yescharacteristic, complemented
103#14583201C2211yescharacteristic, complemented
104#14583199C2211yescharacteristic, complemented
105#14583193C2211yescharacteristic, complemented
106#14583191C2211yescharacteristic, complemented
107#14583177C2211yescharacteristic, complemented
108#14583156C2211yescharacteristic
109#14583154C2211yescharacteristic
110#14583148C2211yescharacteristic
111#14583148C2211yescharacteristic, complemented
112#14583148C2211yescharacteristic, complemented
113#14583147C2211yescharacteristic, complemented
114#14583147C2211yescharacteristic, complemented
115#14583146C2211yescharacteristic
116#14583138C2211yescharacteristic, complemented
117#14583137C2211yescharacteristic, complemented
118#14583136C2211yescharacteristic, complemented
119#14583135C2211yescharacteristic, complemented
120#14583130C2211yescharacteristic, complemented
121#14583128C2211yescharacteristic, complemented
122#14583123C2211yescharacteristic, complemented
123#14583121C2211yescharacteristic, complemented
124#14583117C2211yescharacteristic, complemented
125#14583115C2211yescharacteristic, complemented
126#14583107C2211yescharacteristic, complemented
127#14583103C2211yescharacteristic, complemented
128#14583101C2211yescharacteristic, complemented
129#14583059C2211yescharacteristic
130#14583058C2211yescharacteristic, complemented
131#14583054C2211yescharacteristic, complemented
132#14583053C2211yescharacteristic
133#14583053C2211yescharacteristic, complemented
134#14583048C2211yescharacteristic
135#14583046C2211yescharacteristic
136#14583045C2211yescharacteristic, complemented
137#14583044C2211yescharacteristic
138#14583044C2211yescharacteristic, complemented
139#14583040C2211yescharacteristic, complemented
140#14583039C2211yescharacteristic
141#14583039C2211yescharacteristic, complemented
142#14583034C2211yescharacteristic
143#14583009C2211yescharacteristic, complemented
144#14583008C2211yescharacteristic, complemented
145#14583004C2211yescharacteristic, complemented
146#14583003C2211yescharacteristic, complemented
147C4×#10621873C2211yescharacteristic, complemented
148SD16×Dic43C2211yescharacteristic, complemented
149#14582986C2211yescharacteristic, complemented
150#14582978C2211yescharacteristic
151#14582974C2211yescharacteristic
152#14582971C2211yescharacteristic, complemented
153#14582970C2211yescharacteristic
154#14582970C2211yescharacteristic, complemented
155#14582969C2211yescharacteristic
156(C22⋊D43)⋊C8C2211yescharacteristic, complemented
157#14582940C2211yescharacteristic, complemented
158#107×D43C2211yescharacteristic, complemented
159#106×D43C2211yescharacteristic, complemented
160#14582924C2211yescharacteristic, complemented
161#14582907C2211yescharacteristic, complemented
162#14582906C2211yescharacteristic
163#14582906C2211yescharacteristic
164#14582906C2211yescharacteristic, complemented
165#14582906C2211yescharacteristic, complemented
166#14582902C2211yescharacteristic
167#14582902C2211yescharacteristic
168#14582900C2211yescharacteristic, complemented
169#14582899C2211yescharacteristic
170#14582899C2211yescharacteristic
171#14582899C2211yescharacteristic, complemented
172#14582897C2211yescharacteristic
173#14582897C2211yescharacteristic
174#14582897C2211yescharacteristic, complemented
175#14582896C2211yescharacteristic
176#14582895C2211yescharacteristic
177#14582894C2211yescharacteristic
178#14582893C2211yescharacteristic
179#14582892C2211yescharacteristic
180#14582892C2211yescharacteristic, complemented
181C2×#13063250C2211yescharacteristic, complemented
182#103×D43C2211yescharacteristic, complemented
183#103×D43C2211yescharacteristic, complemented
184#103×D43C2211yescharacteristic, complemented
185#14582864C2211yescharacteristic, complemented
186C22⋊C8×D43C2211yescharacteristic
187#14582853C2211yescharacteristic, complemented
188C43×#556C2211yescharacteristic, complemented
189C43×#547C2211yescharacteristic
190C43×#487C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic, complemented
192C43×#485C2211yescharacteristic, complemented
193C43×#474C2211yescharacteristic, complemented
194C43×#467C2211yescharacteristic, complemented
195C43×#467C2211yescharacteristic, complemented
196C43×#462C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic
198C43×#452C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C8×D4×C43C2211yescharacteristic, complemented
201C43×#416C2211yescharacteristic
202C43×#416C2211yescharacteristic, complemented
203#13063372—24no—
204#13063372—42no—
205C2×#10621902C2311yescharacteristic
206C2×#10621902C2311yescharacteristic
207C2×#10621898—21no—
208C2×#10621898—21no—
209C2×#10621898C2311yescharacteristic
210C2×#10621898C2311yescharacteristic
211C2×#10621900—21no—
212C2×#10621900—21no—
213C2×#10621900—21no—
214C2×#10621900C2311yescharacteristic
215C2×#10621900C2311yescharacteristic
216#41×D43—24no—
217#41×D43—42no—
218C22×Dic86—21no—
219C22×Dic86C2311yescharacteristic
220C2×Q8×D43C2311yescharacteristic
221C2×Q8×D43C2311yescharacteristic
222C2×Q8×D43C2311yescharacteristic
223C2×D4×D43—21no—
224C2×D4×D43C2311yescharacteristic
225C22×C4×D43—21no—
226C22×C4×D43C2311yescharacteristic
227#13063357—42no—
228#13063348—42no—
229#13063346—24no—
230C2×#10621885C2311yescharacteristic
231C2×#10621885C2311yescharacteristic
232C2×#10621873C2311yescharacteristic
233C2×#10621873C2311yescharacteristic
234C2×#10621884C2311yescharacteristic
235C2×#10621884C2311yescharacteristic
236C2×#10621884C2311yescharacteristic
237C2×D344C2311yescharacteristic
238C2×#10621882C2311yescharacteristic
239#13063331—42no—
240C2×#10621877C2311yescharacteristic
241C2×#10621872—42no—
242C2×#10621872C2311yescharacteristic
243C2×#10621872C2311yescharacteristic
244C2×#10621872C2311yescharacteristic
245C2×#10621872C2311yescharacteristic
246C2×#10621872C2311yescharacteristic
247C22×C43⋊C8C2311yescharacteristic
248C2×C8×D43C2311yescharacteristic
249C2×C8×D43C2311yescharacteristic
250C2×C8×D43C2311yescharacteristic
251#13063324—21no—
252#13063324—21no—
253#13063324C2311yescharacteristic
254#13063323—21no—
255#13063323C2311yescharacteristic
256#13063320—21no—
257#13063320—21no—
258#13063320—21no—
259#13063319—21no—
260#13063319—21no—
261#13063318—21no—
262#13063317C2311yescharacteristic
263#13063316—21no—
264#13063316C2311yescharacteristic
265#13063315—21no—
266#13063315—21no—
267#13063314—21no—
268#13063314—21no—
269#13063314C2311yescharacteristic
270#13063313—21no—
271#13063313C2311yescharacteristic
272#13063311—21no—
273#13063311—21no—
274#13063311—21no—
275#13063311—21no—
276#13063310—21no—
277#13063310—21no—
278#13063310—21no—
279#13063310—21no—
280#13063310D411yescharacteristic
281#13063309—21no—
282#13063309—21no—
283#13063308—21no—
284#13063308—21no—
285#13063307—21no—
286#13063307—21no—
287#13063307D411yescharacteristic
288#13063306—21no—
289#13063305C2311yescharacteristic
290#13063304C2311yescharacteristic
291#13063303—21no—
292#13063303—21no—
293#13063303—21no—
294#13063303—21no—
295#13063303—21no—
296#13063303—21no—
297#13063303—21no—
298#13063303—21no—
299#13063303—21no—
300#13063303—21no—
301#13063303—21no—
302#13063303D411yescharacteristic
303#13063302—21no—
304#13063302—21no—
305#13063302D411yescharacteristic
306#13063301—21no—
307#13063301C2311yescharacteristic
308#13063301C2311yescharacteristic
309#13063301C2311yescharacteristic
310#13063301C2311yescharacteristic
311#13063300—21no—
312#13063300—21no—
313#13063300—21no—
314#13063300C2311yescharacteristic
315#13063300C2311yescharacteristic
316#13063300C2311yescharacteristic
317#13063299—21no—
318#13063299C2311yescharacteristic
319#13063299C2311yescharacteristic
320#13063299C2311yescharacteristic
321#13063298—21no—
322#13063298—21no—
323#13063298—21no—
324#13063298—21no—
325#13063298—21no—
326#13063298—21no—
327#13063298—21no—
328#13063298D411yescharacteristic
329#13063297—21no—
330#13063297—21no—
331#13063297—21no—
332#13063297—21no—
333#13063297D411yescharacteristic
334#13063295—21no—
335#13063295—21no—
336#13063295D411yescharacteristic
337#13063293—21no—
338#13063293D411yescharacteristic
339Q8×Dic43C2311yescharacteristic
340C4×Dic86—21no—
341C4×Dic86C2311yescharacteristic
342#13063290—21no—
343#13063290C2311yescharacteristic
344C4×D172—21no—
345C4×D172—21no—
346C4×D172—21no—
347C4×D172C2311yescharacteristic
348C4×D172C2311yescharacteristic
349D4×Dic43C2311yescharacteristic
350#13063287—21no—
351#13063287—21no—
352#13063287—21no—
353#13063287—21no—
354#13063287C2311yescharacteristic
355C4×C22⋊D43—21no—
356C4×C22⋊D43C2311yescharacteristic
357C4×C22⋊D43C2311yescharacteristic
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365#13063284C2311yescharacteristic
366#13063283—21no—
367#13063283C2311yescharacteristic
368#13063283C2311yescharacteristic
369#13063283C2311yescharacteristic
370#13063283C2311yescharacteristic
371#13063282—21no—
372#13063282—21no—
373#13063282—21no—
374#13063282—21no—
375#13063282C2311yescharacteristic
376#13063281—21no—
377#13063281—21no—
378#13063281—21no—
379C2×C4⋊Dic43C2311yescharacteristic
380C2×Dic43⋊C4—21no—
381C2×Dic43⋊C4—21no—
382C4⋊C4×D43—21no—
383C4⋊C4×D43—21no—
384C4⋊C4×D43C2311yescharacteristic
385C4⋊C4×D43C2311yescharacteristic
386C4⋊C4×D43C2311yescharacteristic
387C4⋊C4×D43C2311yescharacteristic
388C2×(C2×D43)⋊C4—21no—
389C2×(C2×D43)⋊C4—21no—
390C22⋊C4×D43—21no—
391C22⋊C4×D43—21no—
392C42×D43—21no—
393#13063259C2311yescharacteristic
394#13063258C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063247C2311yescharacteristic
427#13063247C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063245C2311yescharacteristic
432#13063245C2311yescharacteristic
433#13063245C2311yescharacteristic
434#13063245C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436C22⋊(C43⋊C8)C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441#13063236C2311yescharacteristic
442#13063235C2311yescharacteristic
443C8×Dic43C2311yescharacteristic
444C2×#41×C43C2311yescharacteristic
445C2×#41×C43C2311yescharacteristic
446C2×Q16×C43C2311yescharacteristic
447C2×Q16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C22×C8×C43C2311yescharacteristic
450C22×C8×C43C2311yescharacteristic
451C4⋊Q8×C43C2311yescharacteristic
452C4⋊Q8×C43C2311yescharacteristic
453#126×C43—21no—
454#126×C43—21no—
455#124×C43—21no—
456#123×C43—21no—
457#123×C43—21no—
458C22⋊Q8×C43C2311yescharacteristic
459C22⋊Q8×C43C2311yescharacteristic
460C22⋊Q8×C43C2311yescharacteristic
461C22⋊Q8×C43C2311yescharacteristic
462#121×C43—21no—
463C4×Q8×C43—21no—
464C4×Q8×C43C2311yescharacteristic
465C4×D4×C43C2311yescharacteristic
466C4×D4×C43C2311yescharacteristic
467#117×C43C2311yescharacteristic
468#117×C43C2311yescharacteristic
469C2×C4⋊C4×C43—21no—
470#107×C43C2311yescharacteristic
471#107×C43C2311yescharacteristic
472#106×C43C2311yescharacteristic
473C4⋊C8×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484C22⋊C8×C43C2311yescharacteristic
485C22⋊C8×C43C2311yescharacteristic
486C4×C8×C43C2311yescharacteristic
487C23×D43—21no—
488C23×D43C2×D411yescharacteristic
489#41×C43—22no—
490#41×C43—22no—
491#41×C43—41no—
492#41×C43—41no—
493C2×Q8×C43—21no—
494C2×Q8×C43C2411yescharacteristic
495C2×Q8×C43C2411yescharacteristic
496C2×Q8×C43C2411yescharacteristic
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43C2×D411yescharacteristic
500C2×D4×C43C2411yescharacteristic
501C22×C4×C43—21no—
502C22×C4×C43—21no—
503C22×C4×C43—21no—
504C22×C4×C43C2411yescharacteristic
505C22×C4×C43C2411yescharacteristic
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43C2×D411yescharacteristic
514C2×C22⋊D43C2×D411yescharacteristic
515C2×C22⋊D43C2×D411yescharacteristic
516C2×C22⋊D43C2×D411yescharacteristic
517C22×Dic43—21no—
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43—21no—
521C22×Dic43—21no—
522C22×Dic43C2×D411yescharacteristic
523#10621902—22no—
524#10621902—22no—
525#10621902—22no—
526#10621902—22no—
527Q8×D43—22no—
528Q8×D43—22no—
529Q8×D43—22no—
530Q8×D43—22no—
531Q8×D43—41no—
532Q8×D43—41no—
533#10621900—22no—
534#10621900—22no—
535#10621900—41no—
536#10621900—44no—
537#10621900—44no—
538#10621900—44no—
539#10621900#4114yes—
540D4×D43—22no—
541D4×D43—44no—
542D4×D43—41no—
543#10621898—22no—
544#10621898—22no—
545#10621898—22no—
546#10621898—41no—
547#10621898—44no—
548#10621898—44no—
549C2×D172—21no—
550C2×D172—21no—
551C2×D172—21no—
552C2×D172—21no—
553C2×D172—21no—
554C2×D172C2×D411yescharacteristic
555C2×D172C2×D411yescharacteristic
556C2×D172C2411yescharacteristic
557C2×D172C2411yescharacteristic
558C2×C4×D43—22no—
559C2×C4×D43—22no—
560C2×C4×D43—21no—
561C2×C4×D43—21no—
562C2×C4×D43—21no—
563C2×C4×D43—21no—
564C2×C4×D43—21no—
565C2×C4×D43—21no—
566C2×C4×D43—21no—
567C2×C4×D43—21no—
568C2×C4×D43—21no—
569C2×C4×D43—21no—
570C2×C4×D43—21no—
571C2×C4×D43—21no—
572C2×C4×D43—44no—
573C2×C4×D43C2×D411yescharacteristic
574C2×C4×D43C2×D411yescharacteristic
575C2×C4×D43C2411yescharacteristic
576C2×C4×D43C2411yescharacteristic
577C2×C4×D43C2411yescharacteristic
578C2×Dic86—22no—
579C2×Dic86—21no—
580C2×Dic86—21no—
581C2×Dic86—21no—
582C2×Dic86—21no—
583C2×Dic86—21no—
584C2×Dic86—41no—
585C2×Dic86—44no—
586C2×Dic86C2×D411yescharacteristic
587C2×Dic86C2411yescharacteristic
588C2×Dic86C2411yescharacteristic
589Q16×C43—41no—
590Q16×C43—41no—
591SD16×C43—22no—
592C2×C8×C43—41no—
593C2×C8×C43—41no—
594C2×C8×C43C2411yescharacteristic
595C2×C8×C43C2411yescharacteristic
596C2×C8×C43C2411yescharacteristic
597C2×C8×C43C2411yescharacteristic
598C4⋊C4×C43—21no—
599C4⋊C4×C43—21no—
600C4⋊C4×C43—21no—
601C4⋊C4×C43—21no—
602C4⋊C4×C43—21no—
603C4⋊C4×C43—21no—
604C4⋊C4×C43—21no—
605C4⋊C4×C43—21no—
606C4⋊C4×C43C2×D411yescharacteristic
607C4⋊C4×C43C2411yescharacteristic
608C4⋊C4×C43C2411yescharacteristic
609C4⋊C4×C43C2411yescharacteristic
610C4⋊C4×C43C2411yescharacteristic
611C22⋊C4×C43—21no—
612C22⋊C4×C43—21no—
613C22⋊C4×C43—21no—
614C22⋊C4×C43—21no—
615C22⋊C4×C43—21no—
616C22⋊C4×C43—21no—
617C22⋊C4×C43—21no—
618C22⋊C4×C43C2×D411yescharacteristic
619C22⋊C4×C43C2×D411yescharacteristic
620C42×C43—21no—
621C42×C43—21no—
622C42×C43—21no—
623C42×C43C2411yescharacteristic
624C22⋊Dic43—21no—
625C22⋊Dic43—21no—
626C22⋊Dic43—21no—
627C22⋊Dic43C2×D411yescharacteristic
628C22⋊Dic43C2×D411yescharacteristic
629#10621885—22no—
630#10621885—41no—
631#10621884—41no—
632#10621884—41no—
633#10621884—41no—
634#10621882—22no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4—21no—
640(C2×D43)⋊C4—21no—
641(C2×D43)⋊C4—21no—
642(C2×D43)⋊C4—21no—
643(C2×D43)⋊C4—21no—
644(C2×D43)⋊C4—21no—
645(C2×D43)⋊C4—21no—
646(C2×D43)⋊C4—21no—
647(C2×D43)⋊C4—21no—
648(C2×D43)⋊C4—21no—
649(C2×D43)⋊C4—21no—
650(C2×D43)⋊C4—21no—
651(C2×D43)⋊C4—21no—
652(C2×D43)⋊C4—21no—
653(C2×D43)⋊C4—21no—
654(C2×D43)⋊C4—21no—
655(C2×D43)⋊C4—21no—
656(C2×D43)⋊C4C2×D411yescharacteristic
657(C2×D43)⋊C4C2×D411yescharacteristic
658(C2×D43)⋊C4C2×D411yescharacteristic
659(C2×D43)⋊C4C2×D411yescharacteristic
660(C2×D43)⋊C4C2×D411yescharacteristic
661(C2×D43)⋊C4C2×D411yescharacteristic
662C4⋊Dic43—21no—
663C4⋊Dic43—21no—
664C4⋊Dic43—21no—
665C4⋊Dic43—21no—
666C4⋊Dic43C2×D411yescharacteristic
667C4⋊Dic43C2411yescharacteristic
668C4⋊Dic43C2411yescharacteristic
669C4⋊Dic43C2411yescharacteristic
670C4⋊Dic43C2411yescharacteristic
671Dic43⋊C4—21no—
672Dic43⋊C4—21no—
673Dic43⋊C4—21no—
674Dic43⋊C4—21no—
675Dic43⋊C4—21no—
676Dic43⋊C4—21no—
677Dic43⋊C4—21no—
678Dic43⋊C4—21no—
679Dic43⋊C4—21no—
680Dic43⋊C4—21no—
681Dic43⋊C4—21no—
682Dic43⋊C4—21no—
683Dic43⋊C4—21no—
684Dic43⋊C4—21no—
685Dic43⋊C4—21no—
686Dic43⋊C4—21no—
687Dic43⋊C4—21no—
688Dic43⋊C4C2×D411yescharacteristic
689Dic43⋊C4C2×D411yescharacteristic
690Dic43⋊C4C2×D411yescharacteristic
691Dic43⋊C4C2×D411yescharacteristic
692C4×Dic43—21no—
693C4×Dic43—21no—
694C4×Dic43—21no—
695C4×Dic43—21no—
696C4×Dic43—21no—
697C4×Dic43—21no—
698C4×Dic43—21no—
699C4×Dic43—21no—
700C4×Dic43C2411yescharacteristic
701#10621877—41no—
702C2×C43⋊C8—41no—
703C2×C43⋊C8C2411yescharacteristic
704C2×C43⋊C8C2411yescharacteristic
705C2×C43⋊C8C2411yescharacteristic
706C2×C43⋊C8C2411yescharacteristic
707D344—41no—
708#10621873—22no—
709#10621873—41no—
710#10621872—22no—
711#10621872—22no—
712#10621872—41no—
713#10621872—41no—
714#10621872—41no—
715C8×D43—22no—
716C8×D43—22no—
717C8×D43—41no—
718C23×C43—21no—
719C23×C43C22×D411yescharacteristic
720C23×C43C22×D411yescharacteristic
721C22×D43—22no—
722C22×D43—21no—
723C22×D43—21no—
724C22×D43—41no—
725C22×D43—41no—
726C22×D43—42no—
727C22×D43—42no—
728C22×D43—81no—
729C22×D43C22×D411yescharacteristic
730C22×D43C22×D411yescharacteristic
731C22×D43C22×D411yescharacteristic
732Q8×C43—21no—
733Q8×C43—21no—
734Q8×C43—21no—
735Q8×C43—21no—
736Q8×C43—21no—
737Q8×C43—21no—
738Q8×C43—81no—
739D4×C43—21no—
740D4×C43—41no—
741D4×C43—42no—
742D4×C43—42no—
743D4×C43C2×#4112yes—
744C2×C4×C43—21no—
745C2×C4×C43—21no—
746C2×C4×C43—21no—
747C2×C4×C43—21no—
748C2×C4×C43—21no—
749C2×C4×C43—21no—
750C2×C4×C43—21no—
751C2×C4×C43—21no—
752C2×C4×C43—21no—
753C2×C4×C43—21no—
754C2×C4×C43—21no—
755C2×C4×C43—42no—
756C2×C4×C43—42no—
757C2×C4×C43—81no—
758C2×C4×C43C22×D411yescharacteristic
759C2×C4×C43C22×D411yescharacteristic
760C2×C4×C43C22×D411yescharacteristic
761C2×C4×C43C22×D411yescharacteristic
762C2×C4×C43C2511yescharacteristic
763C22⋊D43—22no—
764C22⋊D43—24no—
765C22⋊D43—22no—
766C22⋊D43—41no—
767C22⋊D43—41no—
768C22⋊D43—42no—
769C22⋊D43—42no—
770C22⋊D43—42no—
771C22⋊D43—81no—
772C22⋊D43—81no—
773C22⋊D43—81no—
774C2×Dic43—21no—
775C2×Dic43—24no—
776C2×Dic43—22no—
777C2×Dic43—21no—
778C2×Dic43—21no—
779C2×Dic43—21no—
780C2×Dic43—21no—
781C2×Dic43—21no—
782C2×Dic43—42no—
783C2×Dic43—42no—
784C2×Dic43—81no—
785C2×Dic43—81no—
786C2×Dic43C22×D411yescharacteristic
787C2×Dic43C22×D411yescharacteristic
788C2×Dic43C22×D411yescharacteristic
789C2×Dic43C22×D411yescharacteristic
790C2×Dic43C22×D411yescharacteristic
791D172—22no—
792D172—21no—
793D172—21no—
794D172—21no—
795D172—21no—
796D172—41no—
797D172—42no—
798D172—42no—
799D172—81no—
800D172—81no—
801D172—81no—
802C4×D43—22no—
803C4×D43—21no—
804C4×D43—21no—
805C4×D43—21no—
806C4×D43—21no—
807C4×D43—22no—
808C4×D43—42no—
809C4×D43—42no—
810C4×D43—42no—
811C4×D43—42no—
812C4×D43—42no—
813C4×D43—42no—
814C4×D43—81no—
815C4×D43—81no—
816C4×D43—81no—
817C4×D43—81no—
818C4×D43—81no—
819C4×D43—81no—
820C4×D43C2×#4112yes—
821C4×D43H(5,𝔽2)12yes—
822Dic86—21no—
823Dic86—22no—
824Dic86—21no—
825Dic86—21no—
826Dic86—42no—
827Dic86—42no—
828Dic86—42no—
829Dic86—42no—
830Dic86—81no—
831Dic86C2×#4112yes—
832C8×C43—21no—
833C8×C43—21no—
834C8×C43—21no—
835C8×C43—21no—
836C43⋊C8—21no—
837C43⋊C8—21no—
838C43⋊C8—21no—
839C43⋊C8—21no—
840#61197—431nomaximal, Sylow
841C22×C43—21no—
842C22×C43—21no—
843C22×C43—21no—
844C22×C43—21no—
845C22×C43—21no—
846C22×C43—22no—
847C22×C43—21no—
848C22×C43—41no—
849C22×C43—41no—
850C22×C43C23×D411yescharacteristic
851C2×D43—21no—
852C2×D43—21no—
853C2×D43—21no—
854C2×D43—21no—
855C2×D43—21no—
856C2×D43—21no—
857C2×D43—21no—
858C2×D43—21no—
859C2×D43—41no—
860C2×D43—41no—
861C2×D43—41no—
862C2×D43—41no—
863C2×D43—41no—
864C2×D43—41no—
865C2×D43—82no—
866C2×D43—84no—
867C2×D43#54612yes—
868C4×C43—21no—
869C4×C43—21no—
870C4×C43—21no—
871C4×C43—21no—
872C4×C43—41no—
873C4×C43—41no—
874C4×C43—41no—
875C4×C43—41no—
876C4×C43—41no—
877C4×C43—41no—
878C4×C43—41no—
879C4×C43C22×#4111yescharacteristic
880C4×C43C2×H(5,𝔽2)11yescharacteristic
881Dic43—21no—
882Dic43—21no—
883Dic43—21no—
884Dic43—22no—
885Dic43—21no—
886Dic43—41no—
887Dic43—41no—
888Dic43—41no—
889Dic43—41no—
890Dic43—41no—
891Dic43#54612yes—
892#3493—431no—
893#3489—431no—
894#3329—431no—
895#3329—431no—
896#3323—431no—
897#3323—431no—
898#3319—431no—
899#3319—431no—
900#3313—431no—
901#3313—431no—
902#3312—431no—
903#3312—431no—
904#3307—431no—
905#3307—431no—
906#3302—431no—
907#3302D4311yescharacteristic, complemented
908#3301—431no—
909#3301—431no—
910#3137—431no—
911#3099—431no—
912C2×#485—431no—
913#3083—431no—
914#3061—431no—
915#3056—431no—
916#3046—431no—
917#3013—431no—
918#3002—431no—
919#2952—431no—
920#2933—431no—
921#2898—431no—
922#2896—431no—
923C2×C43—41no—
924C2×C43—42no—
925C2×C43—41no—
926C2×C43C2×#54611yescharacteristic
927C2×C43#358411yescharacteristic
928C2×C43#358611yescharacteristic
929D43—22no—
930D43—41no—
931D43—41no—
932D43—81no—
933D43—81no—
934C2×2−1+4—431no—
935C22×#41—431no—
936C2×#137—431no—
937C2×#135—431no—
938C2×#135—431no—
939C2×#131—431no—
940C22×M16—431no—
941#556—431no—
942#556—861no—
943#556C2×D4311yescharacteristic, complemented
944#555—431no—
945#555—431no—
946#555—861no—
947#553—431no—
948#553—431no—
949#553—861no—
950#552—431no—
951#552—431no—
952#552—861no—
953D4×Q8—431no—
954D4×Q8—431no—
955#548—431no—
956#548—431no—
957#547—431no—
958#547—861no—
959#547—861no—
960#547C2×D4311yescharacteristic
961#546—431no—
962#546—431no—
963#546—861no—
964#546—861no—
965#544—431no—
966#538—861no—
967#538—861no—
968#537—431no—
969#537—431no—
970#537—861no—
971#536—431no—
972#536—861no—
973#529—861no—
974#529—861no—
975#525—431no—
976#525—431no—
977#525—861no—
978C2×C22⋊Q8—431no—
979C2×C22⋊Q8—861no—
980#520—431no—
981#520—431no—
982#520—431no—
983C2×#117—431no—
984#491—431no—
985#491—431no—
986#489—431no—
987#489—431no—
988#488—431no—
989#488—431no—
990#487—431no—
991#487C2×D4311yescharacteristic, complemented
992#485—431no—
993#485—431no—
994#485—431no—
995#485—431no—
996#485—431no—
997#485—431no—
998#485—431no—
999#485—431no—
1000#485C2×D4311yescharacteristic, complemented
1001#485C2×D4311yescharacteristic, complemented
1002#483—431no—
1003#483—431no—
1004#482—431no—
1005#482—431no—
1006#481—431no—
1007#481—431no—
1008#479—431no—
1009#479—431no—
1010#478—431no—
1011#478—431no—
1012#477—431no—
1013#477—431no—
1014#474—431no—
1015#474C2×D4311yescharacteristic, complemented
1016#470—431no—
1017#470—431no—
1018#468—431no—
1019#468—431no—
1020#468—431no—
1021#468—431no—
1022#468—431no—
1023#468—431no—
1024#467—431no—
1025#467—431no—
1026#467C2×D4311yescharacteristic, complemented
1027#467C2×D4311yescharacteristic, complemented
1028#466—431no—
1029#466—431no—
1030#465—431no—
1031#465—431no—
1032#464—431no—
1033#464—431no—
1034#463—431no—
1035#463—431no—
1036#462—431no—
1037#462C2×D4311yescharacteristic, complemented
1038#461—431no—
1039#461—431no—
1040#452—431no—
1041#452—431no—
1042#452C2×D4311yescharacteristic
1043#452C2×D4311yescharacteristic, complemented
1044#451—431no—
1045#451—431no—
1046#451—431no—
1047#450—431no—
1048#449—431no—
1049#449—431no—
1050#449—431no—
1051#449—431no—
1052#448—431no—
1053#448—431no—
1054#448—431no—
1055#447—431no—
1056#442—431no—
1057#442—431no—
1058#441—431no—
1059#441—431no—
1060C4×SD16—431no—
1061C4×SD16—431no—
1062C4×SD16—431no—
1063C4×SD16C2×D4311yescharacteristic, complemented
1064#436—431no—
1065#436—431no—
1066#435—431no—
1067#435—431no—
1068#435—431no—
1069#435—431no—
1070C8×D4—431no—
1071C8×D4C2×D4311yescharacteristic, complemented
1072#428—431no—
1073C2×#107—431no—
1074C2×#106—431no—
1075#424—431no—
1076#419—431no—
1077#419—431no—
1078#419—431no—
1079#419—431no—
1080#419—431no—
1081#418—431no—
1082#418—431no—
1083#417—431no—
1084#417—431no—
1085#417—431no—
1086#417—431no—
1087#417—431no—
1088#417—431no—
1089#417—431no—
1090#416—431no—
1091#416—431no—
1092#416—431no—
1093#416—431no—
1094#416—431no—
1095#416—431no—
1096#416C2×D4311yescharacteristic
1097#416C2×D4311yescharacteristic, complemented
1098C2×#103—431no—
1099C2×#103—431no—
1100C2×#103—431no—
1101C2×#103—431no—
1102#408—431no—
1103C2×C22⋊C8—431no—
1104#405—431no—
1105C43#6119711yescharacteristic, complemented, Sylow
11062−1+4—864no—
11072−1+4—1722no—
1108C2×#41—431no—
1109C2×#41—431no—
1110C2×#41—431no—
1111C2×#41—431no—
1112C2×#41—431no—
1113C2×#41—431no—
1114C2×#41—861no—
1115C2×#41—861no—
1116C2×#41—861no—
1117C2×#41—861no—
1118C2×#41—861no—
1119C2×#41—864no—
1120C2×#41—1722no—
1121C2×#41C22×D4311yescharacteristic
1122C2×#41C22×D4311yescharacteristic
1123C22×Q8—431no—
1124C22×Q8—431no—
1125C22×Q8—431no—
1126C22×Q8—431no—
1127C22×Q8—861no—
1128C22×D4—431no—
1129C22×D4—861no—
1130C23×C4—431no—
1131C23×C4—861no—
1132#137—1722no—
1133#135—864no—
1134#135—1722no—
1135C2×Q16—431no—
1136C2×Q16—431no—
1137C2×Q16C22×D4311yescharacteristic
1138C2×Q16C22×D4311yescharacteristic
1139C2×SD16—431no—
1140C2×SD16—431no—
1141C2×SD16—431no—
1142C2×SD16—431no—
1143C2×SD16—431no—
1144C2×SD16C22×D4311yescharacteristic
1145C2×D8—431no—
1146C2×D8—431no—
1147#131—1722no—
1148C2×M16—431no—
1149C2×M16—431no—
1150C2×M16—431no—
1151C2×M16—431no—
1152C2×M16—431no—
1153C2×M16—431no—
1154C2×M16—1722no—
1155C22×C8—431no—
1156C22×C8—431no—
1157C22×C8—431no—
1158C22×C8—431no—
1159C22×C8C22×D4311yescharacteristic
1160C22×C8C22×D4311yescharacteristic
1161C4⋊Q8—431no—
1162C4⋊Q8—431no—
1163C4⋊Q8—861no—
1164C4⋊Q8—861no—
1165C4⋊Q8—861no—
1166C4⋊Q8C22×D4311yescharacteristic
1167C4⋊Q8C22×D4311yescharacteristic
1168#126—21no—
1169#126—21no—
1170#126—861no—
1171#126—861no—
1172#126—861no—
1173#126—861no—
1174#126—861no—
1175#126—861no—
1176#125—431no—
1177#125—431no—
1178#125—861no—
1179#125—861no—
1180#125—861no—
1181#124—21no—
1182#124—431no—
1183#124—431no—
1184#124—861no—
1185#124—861no—
1186#124—861no—
1187#124—861no—
1188#124—861no—
1189#124—861no—
1190#124—861no—
1191#123—21no—
1192#123—21no—
1193#123—431no—
1194#123—431no—
1195#123—861no—
1196#123—861no—
1197#123—861no—
1198#123—861no—
1199#123—861no—
1200#123—861no—
1201#123—861no—
1202#123—861no—
1203#123—861no—
1204#123—861no—
1205#123—861no—
1206C22⋊Q8—431no—
1207C22⋊Q8—431no—
1208C22⋊Q8—431no—
1209C22⋊Q8—431no—
1210C22⋊Q8—431no—
1211C22⋊Q8—431no—
1212C22⋊Q8—431no—
1213C22⋊Q8—431no—
1214C22⋊Q8—861no—
1215C22⋊Q8—861no—
1216C22⋊Q8—861no—
1217C22⋊Q8—861no—
1218C22⋊Q8—861no—
1219C22⋊Q8—861no—
1220C22⋊Q8—861no—
1221C22⋊Q8—861no—
1222C22⋊Q8—861no—
1223C22⋊Q8—861no—
1224C22⋊Q8—861no—
1225C22⋊Q8—861no—
1226C22⋊Q8—861no—
1227C22⋊Q8—861no—
1228C22⋊Q8C22×D4311yescharacteristic
1229C22⋊Q8C22×D4311yescharacteristic
1230C22⋊Q8C22×D4311yescharacteristic
1231C22⋊Q8C22×D4311yescharacteristic
1232#121—21no—
1233#121—431no—
1234#121—431no—
1235#121—431no—
1236#121—431no—
1237#121—431no—
1238#121—431no—
1239#121—431no—
1240#121—431no—
1241#121—861no—
1242#121—861no—
1243#121—861no—
1244#121—861no—
1245#121—861no—
1246#121—861no—
1247#121—861no—
1248#121—861no—
1249#121—861no—
1250#121—861no—
1251#121—861no—
1252#121—861no—
1253#121—861no—
1254#121—861no—
1255#121—861no—
1256#120—431no—
1257#120—431no—
1258#120—861no—
1259#120—861no—
1260#120—861no—
1261C4×Q8—21no—
1262C4×Q8—431no—
1263C4×Q8—431no—
1264C4×Q8—431no—
1265C4×Q8—861no—
1266C4×Q8—861no—
1267C4×Q8C22×D4311yescharacteristic
1268C4×D4—431no—
1269C4×D4—431no—
1270C4×D4—431no—
1271C4×D4—431no—
1272C4×D4—431no—
1273C4×D4—431no—
1274C4×D4—861no—
1275C4×D4—861no—
1276C4×D4—861no—
1277C4×D4—861no—
1278C4×D4—861no—
1279C4×D4—861no—
1280C4×D4—861no—
1281C4×D4—861no—
1282C4×D4—861no—
1283C4×D4—861no—
1284C4×D4—861no—
1285C4×D4—861no—
1286C4×D4—861no—
1287C4×D4—861no—
1288C4×D4—861no—
1289C4×D4C22×D4311yescharacteristic
1290C4×D4C22×D4311yescharacteristic
1291#117—431no—
1292#117—431no—
1293#117—431no—
1294#117—431no—
1295#117—431no—
1296#117—431no—
1297#117—861no—
1298#117—861no—
1299#117—861no—
1300#117—861no—
1301#117—861no—
1302#117—861no—
1303#117—861no—
1304#117—861no—
1305#117C22×D4311yescharacteristic
1306#117C22×D4311yescharacteristic
1307C2×C4⋊C4—21no—
1308C2×C4⋊C4—431no—
1309C2×C4⋊C4—431no—
1310C2×C4⋊C4—431no—
1311C2×C4⋊C4—431no—
1312C2×C4⋊C4—431no—
1313C2×C4⋊C4—861no—
1314C2×C4⋊C4—861no—
1315C2×C4⋊C4—861no—
1316C2×C4⋊C4—861no—
1317C2×C22⋊C4—861no—
1318C2×C22⋊C4—861no—
1319C2×C22⋊C4—861no—
1320C2×C22⋊C4—861no—
1321C2×C42—861no—
1322#107—431no—
1323#107—431no—
1324#107—431no—
1325#107—431no—
1326#107C22×D4311yescharacteristic
1327#107C22×D4311yescharacteristic
1328#106—431no—
1329#106—431no—
1330#106—431no—
1331#106—431no—
1332#106—431no—
1333#106C22×D4311yescharacteristic
1334C4⋊C8—431no—
1335C4⋊C8—431no—
1336C4⋊C8—431no—
1337C4⋊C8C22×D4311yescharacteristic
1338#103—431no—
1339#103—431no—
1340#103—431no—
1341#103—431no—
1342#103—431no—
1343#103—431no—
1344#103—431no—
1345#103—431no—
1346#103—431no—
1347#103—431no—
1348#103—431no—
1349#103—431no—
1350#103—431no—
1351#103—431no—
1352#103—431no—
1353#103—431no—
1354#103—431no—
1355#103—431no—
1356#103—431no—
1357#103C22×D4311yescharacteristic
1358#103C22×D4311yescharacteristic
1359#103C22×D4311yescharacteristic
1360#103C22×D4311yescharacteristic
1361#103C22×D4311yescharacteristic
1362#103C22×D4311yescharacteristic
1363#103C22×D4311yescharacteristic
1364#102—431no—
1365#102—431no—
1366#102—431no—
1367#102—431no—
1368#102—431no—
1369#102—431no—
1370#102—431no—
1371#102—431no—
1372#102—431no—
1373#102—431no—
1374#102—431no—
1375#102C22×D4311yescharacteristic
1376#102C22×D4311yescharacteristic
1377#102C22×D4311yescharacteristic
1378C22⋊C8—431no—
1379C22⋊C8—431no—
1380C22⋊C8—431no—
1381C22⋊C8—431no—
1382C22⋊C8—431no—
1383C22⋊C8—431no—
1384C22⋊C8C22×D4311yescharacteristic
1385C22⋊C8C22×D4311yescharacteristic
1386#97—431no—
1387#97—431no—
1388C4×C8—431no—
1389C4×C8C22×D4311yescharacteristic
1390C24—431no—
1391C24—861no—
1392#41—22no—
1393#41—22no—
1394#41—41no—
1395#41—41no—
1396#41—434no—
1397#41—862no—
1398#41—862no—
1399#41—862no—
1400#41—862no—
1401#41—862no—
1402#41—862no—
1403#41—862no—
1404#41—862no—
1405#41—862no—
1406#41—1721no—
1407#41—1724no—
1408#41—1724no—
1409#41—1724no—
1410#41—1721no—
1411#41—1724no—
1412#41—1724no—
1413C2×Q8—21no—
1414C2×Q8—431no—
1415C2×Q8—431no—
1416C2×Q8—431no—
1417C2×Q8—861no—
1418C2×Q8—861no—
1419C2×Q8—861no—
1420C2×Q8—861no—
1421C2×Q8—862no—
1422C2×Q8—862no—
1423C2×Q8—862no—
1424C2×Q8—861no—
1425C2×Q8—862no—
1426C2×Q8—862no—
1427C2×Q8—1721no—
1428C2×Q8—1724no—
1429C2×Q8—1721no—
1430C2×Q8—1721no—
1431C2×Q8C23×D4311yescharacteristic
1432C2×Q8C23×D4311yescharacteristic
1433C2×Q8C23×D4311yescharacteristic
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—431no—
1437C2×D4—431no—
1438C2×D4—431no—
1439C2×D4—431no—
1440C2×D4—431no—
1441C2×D4—431no—
1442C2×D4—431no—
1443C2×D4—431no—
1444C2×D4—861no—
1445C2×D4—861no—
1446C2×D4—861no—
1447C2×D4—861no—
1448C2×D4—861no—
1449C2×D4—861no—
1450C2×D4—861no—
1451C2×D4—862no—
1452C2×D4—861no—
1453C2×D4—861no—
1454C2×D4—861no—
1455C2×D4—861no—
1456C2×D4—861no—
1457C2×D4—1721no—
1458C2×D4—1724no—
1459C2×D4D4×D4311yescharacteristic
1460C2×D4C23×D4311yescharacteristic
1461C22×C4—21no—
1462C22×C4—21no—
1463C22×C4—21no—
1464C22×C4—431no—
1465C22×C4—431no—
1466C22×C4—431no—
1467C22×C4—431no—
1468C22×C4—431no—
1469C22×C4—431no—
1470C22×C4—862no—
1471C22×C4—862no—
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—1724no—
1490C22×C4C23×D4311yescharacteristic
1491C22×C4C23×D4311yescharacteristic
1492Q16—41no—
1493Q16—41no—
1494Q16—862no—
1495Q16—1721no—
1496SD16—22no—
1497SD16—862no—
1498SD16—1721no—
1499SD16—1721no—
1500SD16—1721no—
1501SD16—1721no—
1502D8—862no—
1503D8—1721no—
1504M16—862no—
1505M16—862no—
1506M16—1721no—
1507M16—1721no—
1508M16—1721no—
1509M16—1721no—
1510C2×C8—41no—
1511C2×C8—41no—
1512C2×C8—431no—
1513C2×C8—431no—
1514C2×C8—431no—
1515C2×C8—431no—
1516C2×C8—862no—
1517C2×C8—862no—
1518C2×C8—1721no—
1519C2×C8—1721no—
1520C2×C8C23×D4311yescharacteristic
1521C2×C8C23×D4311yescharacteristic
1522C2×C8C23×D4311yescharacteristic
1523C2×C8C23×D4311yescharacteristic
1524C4⋊C4—21no—
1525C4⋊C4—21no—
1526C4⋊C4—21no—
1527C4⋊C4—21no—
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—21no—
1532C4⋊C4—431no—
1533C4⋊C4—431no—
1534C4⋊C4—431no—
1535C4⋊C4—431no—
1536C4⋊C4—431no—
1537C4⋊C4—431no—
1538C4⋊C4—431no—
1539C4⋊C4—431no—
1540C4⋊C4—431no—
1541C4⋊C4—861no—
1542C4⋊C4—861no—
1543C4⋊C4—861no—
1544C4⋊C4—861no—
1545C4⋊C4—861no—
1546C4⋊C4—861no—
1547C4⋊C4—861no—
1548C4⋊C4—861no—
1549C4⋊C4—861no—
1550C4⋊C4—861no—
1551C4⋊C4—861no—
1552C4⋊C4—861no—
1553C4⋊C4—861no—
1554C4⋊C4—861no—
1555C4⋊C4—861no—
1556C4⋊C4—861no—
1557C4⋊C4—861no—
1558C4⋊C4—861no—
1559C4⋊C4—861no—
1560C4⋊C4—861no—
1561C4⋊C4—861no—
1562C4⋊C4D4×D4311yescharacteristic
1563C4⋊C4C23×D4311yescharacteristic
1564C4⋊C4C23×D4311yescharacteristic
1565C4⋊C4C23×D4311yescharacteristic
1566C4⋊C4C23×D4311yescharacteristic
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—431no—
1575C22⋊C4—431no—
1576C22⋊C4—431no—
1577C22⋊C4—431no—
1578C22⋊C4—431no—
1579C22⋊C4—431no—
1580C22⋊C4—431no—
1581C22⋊C4—431no—
1582C22⋊C4—861no—
1583C22⋊C4—861no—
1584C22⋊C4—861no—
1585C22⋊C4—861no—
1586C22⋊C4—861no—
1587C22⋊C4—861no—
1588C22⋊C4—861no—
1589C22⋊C4—861no—
1590C22⋊C4—861no—
1591C22⋊C4—861no—
1592C22⋊C4—861no—
1593C22⋊C4—861no—
1594C22⋊C4—861no—
1595C22⋊C4—861no—
1596C22⋊C4—861no—
1597C22⋊C4—861no—
1598C22⋊C4—861no—
1599C22⋊C4—861no—
1600C22⋊C4—861no—
1601C22⋊C4—861no—
1602C22⋊C4—861no—
1603C22⋊C4—861no—
1604C22⋊C4—861no—
1605C22⋊C4—861no—
1606C22⋊C4D4×D4311yescharacteristic
1607C22⋊C4D4×D4311yescharacteristic
1608C42—21no—
1609C42—21no—
1610C42—21no—
1611C42—431no—
1612C42—861no—
1613C42—861no—
1614C42—861no—
1615C42—861no—
1616C42—861no—
1617C42—861no—
1618C42—861no—
1619C42—861no—
1620C42C23×D4311yescharacteristic
1621C23—21no—
1622C23—431no—
1623C23—431no—
1624C23—431no—
1625C23—862no—
1626C23—861no—
1627C23—861no—
1628C23—3441no—
1629C23—1721no—
1630C23—1721no—
1631C23—1722no—
1632C23—1722no—
1633C23C2×D4×D4311yescharacteristic
1634C23C2×D4×D4311yescharacteristic
1635Q8—21no—
1636Q8—21no—
1637Q8—21no—
1638Q8—21no—
1639Q8—21no—
1640Q8—21no—
1641Q8—81no—
1642Q8—432no—
1643Q8—862no—
1644Q8—861no—
1645Q8—861no—
1646Q8—861no—
1647Q8—3441no—
1648Q8—1722no—
1649Q8—1722no—
1650Q8—1722no—
1651Q8—1722no—
1652D4—21no—
1653D4—41no—
1654D4—42no—
1655D4—42no—
1656D4—862no—
1657D4—862no—
1658D4—862no—
1659D4—864no—
1660D4—861no—
1661D4—861no—
1662D4—861no—
1663D4—861no—
1664D4—3441no—
1665D4—3441no—
1666D4—3441no—
1667D4—3441no—
1668D4—3441no—
1669D4—3441no—
1670D4—1721no—
1671D4—1722no—
1672D4—1722no—
1673D4—1721no—
1674D4—1721no—
1675D4—1722no—
1676D4—1722no—
1677D4—1722no—
1678D4#41×D4312yes—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—42no—
1691C2×C4—42no—
1692C2×C4—81no—
1693C2×C4—431no—
1694C2×C4—432no—
1695C2×C4—432no—
1696C2×C4—431no—
1697C2×C4—431no—
1698C2×C4—431no—
1699C2×C4—431no—
1700C2×C4—862no—
1701C2×C4—862no—
1702C2×C4—862no—
1703C2×C4—864no—
1704C2×C4—861no—
1705C2×C4—861no—
1706C2×C4—861no—
1707C2×C4—861no—
1708C2×C4—861no—
1709C2×C4—861no—
1710C2×C4—861no—
1711C2×C4—861no—
1712C2×C4—861no—
1713C2×C4—861no—
1714C2×C4—3441no—
1715C2×C4—3441no—
1716C2×C4—3441no—
1717C2×C4—3441no—
1718C2×C4—3441no—
1719C2×C4—3441no—
1720C2×C4—3441no—
1721C2×C4—3441no—
1722C2×C4—1722no—
1723C2×C4—1722no—
1724C2×C4—1722no—
1725C2×C4—1722no—
1726C2×C4—1722no—
1727C2×C4—1722no—
1728C2×C4—1722no—
1729C2×C4—1722no—
1730C2×C4C2×D4×D4311yescharacteristic
1731C2×C4C2×D4×D4311yescharacteristic
1732C2×C4C2×D4×D4311yescharacteristic
1733C2×C4C2×D4×D4311yescharacteristic
1734C2×C4C24×D4311yescharacteristic
1735C8—21no—
1736C8—21no—
1737C8—21no—
1738C8—21no—
1739C8—861no—
1740C8—861no—
1741C8—861no—
1742C8—861no—
1743C22—21no—
1744C22—21no—
1745C22—22no—
1746C22—21no—
1747C22—21no—
1748C22—21no—
1749C22—21no—
1750C22—41no—
1751C22—41no—
1752C22—432no—
1753C22—861no—
1754C22—861no—
1755C22—861no—
1756C22—861no—
1757C22—861no—
1758C22—861no—
1759C22—861no—
1760C22—861no—
1761C22—3442no—
1762C22—3444no—
1763C22—1721no—
1764C22—1721no—
1765C22—1721no—
1766C22—1721no—
1767C22—1721no—
1768C22—1721no—
1769C22C22×D4×D4311yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—432no—
1782C4—861no—
1783C4—861no—
1784C4—862no—
1785C4—861no—
1786C4—861no—
1787C4—1721no—
1788C4—1721no—
1789C4—1721no—
1790C4—1721no—
1791C4—1721no—
1792C4C2×#41×D4311yescharacteristic
1793C4H(5,𝔽2)×D4311yescharacteristic
1794C2—41no—
1795C2—41no—
1796C2—42no—
1797C2—862no—
1798C2—3441no—
1799C2—3441no—
1800C2—1721no—
1801C2—1721no—
1802C2#546×D4311yescharacteristic
1803C2#1914936411yescharacteristic
1804C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3302C2
socleC22×C43C23×D4
hypercenter#3302D43
hypocenterC43#61197
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3302

Complements

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

NH ≅ G/Ntype
1. #19148309C2semidirect
2. #19148269C2semidirect
3. #19146888C2semidirect
4. #19146887C2semidirect
5. #19146816C2semidirect
6. #19146804C2semidirect
7. #19146748C2semidirect
8. #19146747C2semidirect
9. #19146667C2semidirect
10. #19146655C2semidirect
11. #19146653C2semidirect
12. #19146652C2semidirect
13. #19146571C2semidirect
14. #19146567C2semidirect
15. #19146505C2semidirect
16. #19146500C2semidirect
17. #19146499C2semidirect
18. #19144955C2semidirect
19. #19144581C2semidirect
20. #485×D43C2semidirect
21. #19144441C2semidirect
22. #19144266C2semidirect
23. #19144222C2semidirect
24. #19144142C2semidirect
25. #19143914C2semidirect
26. #19143816C2semidirect
27. #19143473C2semidirect
28. #19143315C2semidirect
29. #19143124C2semidirect
30. #19143110C2semidirect
31. C43×#3302C2semidirect
34. C2×#13063357C22semidirect
37. C2×#13063331C22semidirect
40. #14583620C22semidirect
45. #14583595C22semidirect
46. #14583593C22semidirect
61. #14583526C22semidirect
65. #14583479C22semidirect
76. #14583381C22semidirect
77. #14583379C22semidirect
80. #14583267C22semidirect
81. #14583266C22semidirect
82. #14583261C22semidirect
83. #14583260C22semidirect
84. #14583255C22semidirect
85. #14583254C22semidirect
86. #14583248C22semidirect
89. #14583241C22semidirect
90. #14583240C22semidirect
93. #14583238C22semidirect
94. #14583237C22semidirect
95. #14583228C22semidirect
96. #14583227C22semidirect
97. #14583226C22semidirect
98. #14583223C22semidirect
99. #14583219C22semidirect
100. #14583218C22semidirect
101. #14583207C22semidirect
102. #14583205C22semidirect
103. #14583201C22semidirect
104. #14583199C22semidirect
105. #14583193C22semidirect
106. #14583191C22semidirect
107. #14583177C22semidirect
111. #14583148C22semidirect
112. #14583148C22semidirect
113. #14583147C22semidirect
114. #14583147C22semidirect
116. #14583138C22semidirect
117. #14583137C22semidirect
118. #14583136C22semidirect
119. #14583135C22semidirect
120. #14583130C22semidirect
121. #14583128C22semidirect
122. #14583123C22semidirect
123. #14583121C22semidirect
124. #14583117C22semidirect
125. #14583115C22semidirect
126. #14583107C22semidirect
127. #14583103C22semidirect
128. #14583101C22semidirect
130. #14583058C22semidirect
131. #14583054C22semidirect
133. #14583053C22semidirect
136. #14583045C22semidirect
138. #14583044C22semidirect
139. #14583040C22semidirect
141. #14583039C22semidirect
143. #14583009C22semidirect
144. #14583008C22semidirect
145. #14583004C22semidirect
146. #14583003C22semidirect
147. C4×#10621873C22semidirect
148. SD16×Dic43C22semidirect
149. #14582986C22semidirect
152. #14582971C22semidirect
154. #14582970C22semidirect
156. (C22⋊D43)⋊C8C22semidirect
157. #14582940C22semidirect
158. #107×D43C22semidirect
159. #106×D43C22semidirect
160. #14582924C22semidirect
161. #14582907C22semidirect
164. #14582906C22semidirect
165. #14582906C22semidirect
168. #14582900C22semidirect
171. #14582899C22semidirect
174. #14582897C22semidirect
180. #14582892C22semidirect
181. C2×#13063250C22semidirect
182. #103×D43C22semidirect
183. #103×D43C22semidirect
184. #103×D43C22semidirect
185. #14582864C22semidirect
187. #14582853C22semidirect
188. C43×#556C22semidirect
190. C43×#487C22semidirect
191. C43×#485C22semidirect
192. C43×#485C22semidirect
193. C43×#474C22semidirect
194. C43×#467C22semidirect
195. C43×#467C22semidirect
196. C43×#462C22semidirect
198. C43×#452C22semidirect
199. C4×SD16×C43C22semidirect
200. C8×D4×C43C22semidirect
202. C43×#416C22semidirect
907. #3302D43semidirect
943. #556C2×D43semidirect
991. #487C2×D43semidirect
1000. #485C2×D43semidirect
1001. #485C2×D43semidirect
1015. #474C2×D43semidirect
1026. #467C2×D43semidirect
1027. #467C2×D43semidirect
1037. #462C2×D43semidirect
1043. #452C2×D43semidirect
1063. C4×SD16C2×D43semidirect
1071. C8×D4C2×D43semidirect
1097. #416C2×D43semidirect
1105. C43#61197semidirect

Maximal subgroups

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

subgroupindex
#191483092
#191482692
#191468882
#191468872
#191468162
#191468042
#191467482
#191467472
#191466672
#191466552
#191466532
#191466522
#191465712
#191465672
#191465052
#191465002
#191464992
#191449552
#191445812
#485×D432
#191444412
#191442662
#191442222
#191441422
#191439142
#191438162
#191434732
#191433152
#191431242
#191431102
C43×#33022
#6119743