Finite Group Databasebeta

← #25983189

Subgroups — #25983189

Order 11008.

2032 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148895C211yesmaximal, characteristic, complemented
2#19148266C211yesmaximal, characteristic, complemented
3#19146908C211yesmaximal, characteristic, complemented
4#19146872C211yesmaximal, characteristic, complemented
5#19146846C211yesmaximal, characteristic, complemented
6#19146807C211yesmaximal, characteristic, complemented
7#19146705C211yesmaximal, characteristic, complemented
8#19146649C211yesmaximal, characteristic, complemented
9#19146567C211yesmaximal, characteristic, complemented
10#19146247C211yesmaximal, characteristic, complemented
11#19146239C211yesmaximal, characteristic, complemented
12#19146238C211yesmaximal, characteristic, complemented
13#19146222C211yesmaximal, characteristic, complemented
14#19146170C211yesmaximal, characteristic, complemented
15#19146162C211yesmaximal, characteristic, complemented
16#19146152C211yesmaximal, characteristic, complemented
17#19146118C211yesmaximal, characteristic, complemented
18#19145705C211yesmaximal, characteristic, complemented
19#19145675C211yesmaximal, characteristic, complemented
20#19145500C211yesmaximal, characteristic, complemented
21#19145475C211yesmaximal, characteristic, complemented
22#19145429C211yesmaximal, characteristic, complemented
23#19145415C211yesmaximal, characteristic, complemented
24#19144877C211yesmaximal, characteristic, complemented
25#19144813C211yesmaximal, characteristic, complemented
26#19143914C211yesmaximal, characteristic, complemented
27#19143893C211yesmaximal, characteristic, complemented
28#19143850C211yesmaximal, characteristic, complemented
29#19143839C211yesmaximal, characteristic, complemented
30#19143654C211yesmaximal, characteristic, complemented
31C43×#3311C211yesmaximal, characteristic, complemented
32C2×#13063372C2211yescharacteristic
33C22×#10621900C2211yescharacteristic
34C2×#13063358C2211yescharacteristic
35C2×#13063357C2211yescharacteristic, complemented
36C2×#13063355C2211yescharacteristic, complemented
37C2×#13063354C2211yescharacteristic
38C2×#13063354C2211yescharacteristic
39C2×#13063351C2211yescharacteristic
40C2×#13063346C2211yescharacteristic, complemented
41C22×Dic172C2211yescharacteristic, complemented
42#14583651—21no—
43#14583643—21no—
44#14583610C2211yescharacteristic, complemented
45#14583609—21no—
46#14583600—21no—
47#14583593C2211yescharacteristic, complemented
48#14583588C2211yescharacteristic
49D4×Dic86C2211yescharacteristic
50#14583562C2211yescharacteristic
51#14583562C2211yescharacteristic, complemented
52#14583561C2211yescharacteristic, complemented
53#14583558C2211yescharacteristic
54#14583557C2211yescharacteristic
55#14583555C2211yescharacteristic
56#14583553C2211yescharacteristic
57#14583551C2211yescharacteristic
58#14583549—21no—
59#14583548C2211yescharacteristic
60#14583547—21no—
61#14583543C2211yescharacteristic
62#14583539—21no—
63#14583536—21no—
64#14583523C2211yescharacteristic, complemented
65#14583521—21no—
66#14583507C2211yescharacteristic, complemented
67#14583490—21no—
68#14583488—21no—
69#14583483—21no—
70#14583479C2211yescharacteristic, complemented
71#14583478C2211yescharacteristic
72#14583476—21no—
73#14583475C2211yescharacteristic, complemented
74#14583471—21no—
75#14583469C2211yescharacteristic
76#14583411C2211yescharacteristic
77#14583408C2211yescharacteristic
78#14583405—21no—
79C2×#13063302—21no—
80C22⋊Q8×D43C2211yescharacteristic
81C22⋊Q8×D43C2211yescharacteristic
82#14583378C2211yescharacteristic
83#14583293C2211yescharacteristic, complemented
84#14583290C2211yescharacteristic, complemented
85#14583281C2211yescharacteristic, complemented
86#14583277C2211yescharacteristic, complemented
87#14583266C2211yescharacteristic, complemented
88#14583252C2211yescharacteristic, complemented
89#14583251C2211yescharacteristic, complemented
90#14583240C2211yescharacteristic
91#14583240C2211yescharacteristic, complemented
92#14583236C2211yescharacteristic, complemented
93#14583231C2211yescharacteristic, complemented
94#14583231C2211yescharacteristic, complemented
95#14583231C2211yescharacteristic, complemented
96#14583228C2211yescharacteristic, complemented
97#14583228C2211yescharacteristic, complemented
98#14583219C2211yescharacteristic, complemented
99#14583216C2211yescharacteristic, complemented
100#14583205C2211yescharacteristic, complemented
101#14583201C2211yescharacteristic, complemented
102#14583181C2211yescharacteristic, complemented
103#14583158C2211yescharacteristic, complemented
104#14583158C2211yescharacteristic, complemented
105#14583157C2211yescharacteristic
106#14583156C2211yescharacteristic, complemented
107#14583155C2211yescharacteristic
108#14583155C2211yescharacteristic
109#14583155C2211yescharacteristic, complemented
110#14583150C2211yescharacteristic, complemented
111#14583148C2211yescharacteristic, complemented
112#14583146C2211yescharacteristic, complemented
113#14583144C2211yescharacteristic, complemented
114#14583141C2211yescharacteristic, complemented
115#14583128C2211yescharacteristic, complemented
116#14583127C2211yescharacteristic, complemented
117#14583122C2211yescharacteristic, complemented
118#14583120C2211yescharacteristic, complemented
119#14583118C2211yescharacteristic, complemented
120#14583114C2211yescharacteristic, complemented
121#14583113C2211yescharacteristic, complemented
122#14583110C2211yescharacteristic, complemented
123#14583109C2211yescharacteristic, complemented
124#14583108C2211yescharacteristic, complemented
125#14583108C2211yescharacteristic, complemented
126#14583103C2211yescharacteristic, complemented
127#14583102C2211yescharacteristic, complemented
128#14583064C2211yescharacteristic, complemented
129#14583063C2211yescharacteristic
130#14583062C2211yescharacteristic
131#14583062C2211yescharacteristic
132#14583062C2211yescharacteristic
133#14583062C2211yescharacteristic
134#14583062C2211yescharacteristic
135#14583062C2211yescharacteristic
136#14583062C2211yescharacteristic, complemented
137#14583062C2211yescharacteristic, complemented
138#14583059C2211yescharacteristic
139#14583058C2211yescharacteristic
140#14583058C2211yescharacteristic
141#14583057C2211yescharacteristic
142#14583057C2211yescharacteristic, complemented
143#14583056C2211yescharacteristic, complemented
144#14583056C2211yescharacteristic, complemented
145#14583056C2211yescharacteristic, complemented
146#14583056C2211yescharacteristic, complemented
147#14583056C2211yescharacteristic, complemented
148#14583054C2211yescharacteristic
149#14583054C2211yescharacteristic, complemented
150#14583053C2211yescharacteristic, complemented
151#14583053C2211yescharacteristic, complemented
152#14583050C2211yescharacteristic
153#14583045C2211yescharacteristic
154#14583045C2211yescharacteristic
155#14583045C2211yescharacteristic
156#14583045C2211yescharacteristic
157#14583044C2211yescharacteristic, complemented
158#14583043C2211yescharacteristic, complemented
159#14583040C2211yescharacteristic, complemented
160#14583039C2211yescharacteristic, complemented
161#14583037C2211yescharacteristic, complemented
162#14583008C2211yescharacteristic, complemented
163#14583007C2211yescharacteristic, complemented
164#14583005C2211yescharacteristic, complemented
165C4×#10621885C2211yescharacteristic, complemented
166#14582990C2211yescharacteristic, complemented
167#14582986C2211yescharacteristic, complemented
168C4×#10621883C2211yescharacteristic, complemented
169#14582977C2211yescharacteristic
170#14582976C2211yescharacteristic, complemented
171#14582975C2211yescharacteristic
172#14582974C2211yescharacteristic, complemented
173#14582973C2211yescharacteristic
174#14582972C2211yescharacteristic, complemented
175#14582970C2211yescharacteristic, complemented
176#14582961C2211yescharacteristic, complemented
177#14582959C2211yescharacteristic, complemented
178#14582907C2211yescharacteristic
179#14582907C2211yescharacteristic, complemented
180#14582897C2211yescharacteristic
181#14582897C2211yescharacteristic
182#14582897C2211yescharacteristic, complemented
183#103×D43C2211yescharacteristic, complemented
184#14582865C2211yescharacteristic, complemented
185#14582864C2211yescharacteristic, complemented
186#14582862C2211yescharacteristic
187#14582861C2211yescharacteristic
188C43×#556C2211yescharacteristic
189C43×#546C2211yescharacteristic
190C43×#489C2211yescharacteristic, complemented
191C43×#485C2211yescharacteristic
192C43×#482C2211yescharacteristic, complemented
193C43×#476C2211yescharacteristic, complemented
194C43×#470C2211yescharacteristic
195C43×#465C2211yescharacteristic, complemented
196C43×#464C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic, complemented
198C43×#450C2211yescharacteristic
199C43×#440C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic
201C43×#418C2211yescharacteristic
202C43×#416C2211yescharacteristic, complemented
203#13063372—42no—
204#13063372—42no—
205C2×#10621902C2311yescharacteristic
206C2×#10621898—21no—
207C2×#10621898C2311yescharacteristic
208C2×#10621898C2311yescharacteristic
209C2×#10621900—21no—
210C2×#10621900—21no—
211C2×#10621900—21no—
212C2×#10621900—21no—
213C2×#10621900—42no—
214C2×#10621900—42no—
215C2×#10621900C2311yescharacteristic
216C2×#10621900C2311yescharacteristic
217C2×#10621900C2311yescharacteristic
218C2×#10621900C2311yescharacteristic
219C2×#10621900C2311yescharacteristic
220C22×Dic86—21no—
221C22×Dic86C2311yescharacteristic
222C22×Dic86C2311yescharacteristic
223C22×Dic86C2311yescharacteristic
224C2×Q8×D43C2311yescharacteristic
225C2×Q8×D43C2311yescharacteristic
226C2×Q8×D43C2311yescharacteristic
227C22×C22⋊D43—21no—
228C23×Dic43—21no—
229C22×C4×D43C2311yescharacteristic
230#13063358—42no—
231#13063357—42no—
232#13063355—42no—
233#13063354—42no—
234#13063354—42no—
235#13063351—42no—
236#13063346—42no—
237C2×Dic172—42no—
238C2×Dic172C2311yescharacteristic
239C2×Dic172C2311yescharacteristic
240C2×Dic172C2311yescharacteristic
241C2×Dic172C2311yescharacteristic
242C2×Dic172C2311yescharacteristic
243C2×Dic172C2311yescharacteristic
244C2×#10621885C2311yescharacteristic
245C2×#10621885C2311yescharacteristic
246C2×#10621885C2311yescharacteristic
247C2×#10621885C2311yescharacteristic
248C2×#10621885C2311yescharacteristic
249C2×#10621873C2311yescharacteristic
250C2×#10621873C2311yescharacteristic
251C2×#10621873C2311yescharacteristic
252C2×#10621883C2311yescharacteristic
253C2×#10621883C2311yescharacteristic
254C2×#10621883C2311yescharacteristic
255C2×#10621883C2311yescharacteristic
256C2×#10621884C2311yescharacteristic
257C2×#10621882C2311yescharacteristic
258C2×#10621882C2311yescharacteristic
259C2×#10621877C2311yescharacteristic
260C2×#10621877C2311yescharacteristic
261C2×#10621872C2311yescharacteristic
262C2×#10621872C2311yescharacteristic
263C2×#10621872C2311yescharacteristic
264C2×C8×D43C2311yescharacteristic
265#13063325—21no—
266#13063325C2311yescharacteristic
267#13063324—21no—
268#13063324—21no—
269#13063324—21no—
270#13063323C2311yescharacteristic
271#13063323C2311yescharacteristic
272#13063320—21no—
273#13063320—21no—
274#13063319—21no—
275#13063319—21no—
276#13063318—21no—
277#13063317—21no—
278#13063317—21no—
279#13063316—21no—
280#13063316C2311yescharacteristic
281#13063315—21no—
282#13063314—21no—
283#13063313—21no—
284#13063313—21no—
285#13063313C2311yescharacteristic
286#13063312C2311yescharacteristic
287#13063311—21no—
288#13063311—21no—
289#13063311—21no—
290#13063310—21no—
291#13063310—21no—
292#13063310D411yescharacteristic
293#13063309—21no—
294#13063309—21no—
295#13063309—21no—
296#13063309—21no—
297#13063309—21no—
298#13063308—21no—
299#13063307—21no—
300#13063307—21no—
301#13063307—21no—
302#13063307—21no—
303#13063307—21no—
304#13063307D411yescharacteristic
305#13063306—21no—
306#13063306—21no—
307#13063305—21no—
308#13063305C2311yescharacteristic
309#13063305C2311yescharacteristic
310#13063305C2311yescharacteristic
311#13063305C2311yescharacteristic
312#13063305C2311yescharacteristic
313#13063305C2311yescharacteristic
314#13063305C2311yescharacteristic
315#13063304C2311yescharacteristic
316#13063304C2311yescharacteristic
317#13063304C2311yescharacteristic
318#13063303—21no—
319#13063303—21no—
320#13063303—21no—
321#13063303—21no—
322#13063303—21no—
323#13063303—21no—
324#13063303D411yescharacteristic
325#13063302—21no—
326#13063302—21no—
327#13063302—21no—
328#13063302—21no—
329#13063302—21no—
330#13063302—21no—
331#13063302—21no—
332#13063302—21no—
333#13063302—21no—
334#13063302—21no—
335#13063302—21no—
336#13063302D411yescharacteristic
337#13063301—21no—
338#13063301—21no—
339#13063301—21no—
340#13063301C2311yescharacteristic
341#13063301C2311yescharacteristic
342#13063300—21no—
343#13063300—21no—
344#13063300C2311yescharacteristic
345#13063300C2311yescharacteristic
346#13063299—21no—
347#13063299C2311yescharacteristic
348#13063298—21no—
349#13063298—21no—
350#13063298—21no—
351#13063298—21no—
352#13063298—21no—
353#13063298—21no—
354#13063298D411yescharacteristic
355#13063297—21no—
356#13063297—21no—
357#13063297—21no—
358#13063297—21no—
359#13063297—21no—
360#13063297D411yescharacteristic
361#13063296—21no—
362#13063296C2311yescharacteristic
363#13063295—21no—
364#13063295D411yescharacteristic
365#13063294—21no—
366#13063293D411yescharacteristic
367C4×Dic86C2311yescharacteristic
368C4×Dic86C2311yescharacteristic
369#13063290C2311yescharacteristic
370#13063290C2311yescharacteristic
371C4×D172—21no—
372C4×D172—21no—
373C4×D172—21no—
374C4×D172—21no—
375C4×D172C2311yescharacteristic
376D4×Dic43—21no—
377D4×Dic43—21no—
378D4×Dic43C2311yescharacteristic
379#13063287—21no—
380#13063287C2311yescharacteristic
381C4×C22⋊D43—21no—
382C4×C22⋊D43C2311yescharacteristic
383C4×C22⋊D43C2311yescharacteristic
384(C22⋊D43)⋊C4—21no—
385(C22⋊D43)⋊C4—21no—
386(C22⋊D43)⋊C4—21no—
387(C22⋊D43)⋊C4—21no—
388(C22⋊D43)⋊C4—21no—
389#13063282—21no—
390#13063282C2311yescharacteristic
391#13063281—21no—
392C2×C4⋊Dic43—21no—
393C2×Dic43⋊C4—21no—
394C2×Dic43⋊C4—21no—
395C4⋊C4×D43—21no—
396C4⋊C4×D43—21no—
397C4⋊C4×D43—21no—
398C4⋊C4×D43C2311yescharacteristic
399C4⋊C4×D43C2311yescharacteristic
400C4⋊C4×D43C2311yescharacteristic
401C2×C22⋊Dic43—21no—
402C22⋊C4×D43—21no—
403C22⋊C4×D43—21no—
404#13063258C2311yescharacteristic
405#13063257C2311yescharacteristic
406#13063256C2311yescharacteristic
407#13063256C2311yescharacteristic
408#13063256C2311yescharacteristic
409C4⋊(C43⋊C8)C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411Dic43⋊C8C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063250C2311yescharacteristic
415#13063250C2311yescharacteristic
416#13063250C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063248C2311yescharacteristic
425#13063248C2311yescharacteristic
426#13063248C2311yescharacteristic
427#13063248C2311yescharacteristic
428#13063248C2311yescharacteristic
429#13063248C2311yescharacteristic
430#13063247C2311yescharacteristic
431#13063246C2311yescharacteristic
432#13063246C2311yescharacteristic
433#13063245C2311yescharacteristic
434C22⋊(C43⋊C8)C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436(C2×D43)⋊C8C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441(C2×D43)⋊C8C2311yescharacteristic
442(C2×D43)⋊C8C2311yescharacteristic
443(C2×D43)⋊C8C2311yescharacteristic
444#13063235C2311yescharacteristic
445C4×C43⋊C8C2311yescharacteristic
446C8×Dic43C2311yescharacteristic
447C2×#41×C43C2311yescharacteristic
448C22×D4×C43C2311yescharacteristic
449C2×Q16×C43C2311yescharacteristic
450C2×SD16×C43C2311yescharacteristic
451C2×SD16×C43C2311yescharacteristic
452C2×M16×C43C2311yescharacteristic
453C22×C8×C43C2311yescharacteristic
454C4⋊Q8×C43C2311yescharacteristic
455#126×C43—21no—
456#126×C43—21no—
457#124×C43—21no—
458#124×C43C2311yescharacteristic
459#123×C43—21no—
460C22⋊Q8×C43C2311yescharacteristic
461C22⋊Q8×C43C2311yescharacteristic
462C22⋊Q8×C43C2311yescharacteristic
463#121×C43—21no—
464#121×C43C2311yescharacteristic
465#120×C43—21no—
466C4×Q8×C43—21no—
467C4×Q8×C43C2311yescharacteristic
468C4×D4×C43C2311yescharacteristic
469C4×D4×C43C2311yescharacteristic
470#117×C43C2311yescharacteristic
471#117×C43C2311yescharacteristic
472C2×C22⋊C4×C43—21no—
473#107×C43C2311yescharacteristic
474#106×C43C2311yescharacteristic
475#106×C43C2311yescharacteristic
476C4⋊C8×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486#102×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488C22⋊C8×C43C2311yescharacteristic
489#97×C43C2311yescharacteristic
490C24×C43—21no—
491C23×D43C2×D411yescharacteristic
492#41×C43—22no—
493#41×C43—41no—
494C2×Q8×C43—21no—
495C2×Q8×C43C2411yescharacteristic
496C2×Q8×C43C2411yescharacteristic
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43—21no—
500C2×D4×C43—22no—
501C2×D4×C43—41no—
502C2×D4×C43C2×D411yescharacteristic
503C2×D4×C43C2411yescharacteristic
504C2×D4×C43C2411yescharacteristic
505C22×C4×C43—21no—
506C22×C4×C43—21no—
507C22×C4×C43C2411yescharacteristic
508C22×C4×C43C2411yescharacteristic
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—44no—
518C2×C22⋊D43C2×D411yescharacteristic
519C2×C22⋊D43C2×D411yescharacteristic
520C2×C22⋊D43C2×D411yescharacteristic
521C2×C22⋊D43C2×D411yescharacteristic
522C22×Dic43—21no—
523C22×Dic43—21no—
524C22×Dic43—21no—
525C22×Dic43—21no—
526C22×Dic43—21no—
527C22×Dic43—21no—
528C22×Dic43—21no—
529C22×Dic43—21no—
530C22×Dic43—21no—
531C22×Dic43—44no—
532C22×Dic43C2×D411yescharacteristic
533#10621902—41no—
534#10621902—41no—
535Q8×D43—22no—
536Q8×D43—41no—
537Q8×D43—41no—
538Q8×D43—41no—
539Q8×D43—41no—
540Q8×D43—41no—
541#10621900—22no—
542#10621900—22no—
543#10621900—22no—
544#10621900—22no—
545#10621900—22no—
546#10621900—41no—
547#10621900—41no—
548#10621900—41no—
549#10621900—41no—
550#10621900—41no—
551#10621900—44no—
552#10621900—44no—
553#10621900—44no—
554#10621900—44no—
555#10621898—41no—
556#10621898—41no—
557#10621898—41no—
558#10621898—41no—
559#10621898—44no—
560C2×D172—21no—
561C2×D172—21no—
562C2×D172—21no—
563C2×D172C2×D411yescharacteristic
564C2×D172C2×D411yescharacteristic
565C2×D172C2411yescharacteristic
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—21no—
573C2×C4×D43—21no—
574C2×C4×D43—21no—
575C2×C4×D43—41no—
576C2×C4×D43—41no—
577C2×C4×D43C2×D411yescharacteristic
578C2×C4×D43C2×D411yescharacteristic
579C2×C4×D43C2411yescharacteristic
580C2×C4×D43C2411yescharacteristic
581C2×C4×D43C2411yescharacteristic
582C2×Dic86—22no—
583C2×Dic86—22no—
584C2×Dic86—21no—
585C2×Dic86—21no—
586C2×Dic86—21no—
587C2×Dic86—21no—
588C2×Dic86—21no—
589C2×Dic86—21no—
590C2×Dic86—41no—
591C2×Dic86—41no—
592C2×Dic86—41no—
593C2×Dic86—41no—
594C2×Dic86—44no—
595C2×Dic86C2×D411yescharacteristic
596C2×Dic86C2411yescharacteristic
597C2×Dic86C2411yescharacteristic
598C2×Dic86C2411yescharacteristic
599C2×Dic86C2411yescharacteristic
600C2×Dic86C2411yescharacteristic
601Q16×C43—41no—
602SD16×C43—22no—
603SD16×C43—41no—
604M16×C43—41no—
605C2×C8×C43—41no—
606C2×C8×C43C2411yescharacteristic
607C2×C8×C43C2411yescharacteristic
608C2×C8×C43C2411yescharacteristic
609C2×C8×C43C2411yescharacteristic
610C4⋊C4×C43—21no—
611C4⋊C4×C43—21no—
612C4⋊C4×C43—21no—
613C4⋊C4×C43—21no—
614C4⋊C4×C43—21no—
615C4⋊C4×C43C2×D411yescharacteristic
616C4⋊C4×C43C2411yescharacteristic
617C4⋊C4×C43C2411yescharacteristic
618C4⋊C4×C43C2411yescharacteristic
619C4⋊C4×C43C2411yescharacteristic
620C22⋊C4×C43—21no—
621C22⋊C4×C43—21no—
622C22⋊C4×C43—21no—
623C22⋊C4×C43—21no—
624C22⋊C4×C43—21no—
625C22⋊C4×C43—21no—
626C22⋊C4×C43—21no—
627C22⋊C4×C43—21no—
628C22⋊C4×C43—21no—
629C22⋊C4×C43C2×D411yescharacteristic
630C22⋊C4×C43C2×D411yescharacteristic
631C42×C43—21no—
632C42×C43—21no—
633C42×C43—21no—
634C42×C43C2411yescharacteristic
635C22⋊Dic43—21no—
636C22⋊Dic43—21no—
637C22⋊Dic43—21no—
638C22⋊Dic43—21no—
639C22⋊Dic43—21no—
640C22⋊Dic43—21no—
641C22⋊Dic43—21no—
642C22⋊Dic43C2×D411yescharacteristic
643C22⋊Dic43C2×D411yescharacteristic
644#10621885—22no—
645#10621885—41no—
646#10621885—41no—
647#10621885—41no—
648#10621885—41no—
649#10621884—41no—
650#10621883—22no—
651#10621883—22no—
652#10621883—41no—
653#10621883—41no—
654#10621882—22no—
655#10621882—41no—
656(C2×D43)⋊C4—21no—
657(C2×D43)⋊C4—21no—
658(C2×D43)⋊C4—21no—
659(C2×D43)⋊C4—21no—
660(C2×D43)⋊C4—21no—
661(C2×D43)⋊C4—21no—
662(C2×D43)⋊C4—21no—
663(C2×D43)⋊C4—21no—
664(C2×D43)⋊C4—21no—
665(C2×D43)⋊C4—21no—
666(C2×D43)⋊C4—21no—
667(C2×D43)⋊C4—21no—
668(C2×D43)⋊C4—21no—
669(C2×D43)⋊C4—21no—
670(C2×D43)⋊C4—21no—
671(C2×D43)⋊C4C2×D411yescharacteristic
672(C2×D43)⋊C4C2×D411yescharacteristic
673(C2×D43)⋊C4C2×D411yescharacteristic
674(C2×D43)⋊C4C2×D411yescharacteristic
675(C2×D43)⋊C4C2×D411yescharacteristic
676(C2×D43)⋊C4C2×D411yescharacteristic
677C4⋊Dic43—21no—
678C4⋊Dic43—21no—
679C4⋊Dic43—21no—
680C4⋊Dic43—21no—
681C4⋊Dic43—21no—
682C4⋊Dic43—21no—
683C4⋊Dic43—21no—
684C4⋊Dic43—21no—
685C4⋊Dic43—21no—
686C4⋊Dic43—21no—
687C4⋊Dic43C2×D411yescharacteristic
688C4⋊Dic43C2411yescharacteristic
689C4⋊Dic43C2411yescharacteristic
690Dic43⋊C4—21no—
691Dic43⋊C4—21no—
692Dic43⋊C4—21no—
693Dic43⋊C4—21no—
694Dic43⋊C4—21no—
695Dic43⋊C4—21no—
696Dic43⋊C4—21no—
697Dic43⋊C4—21no—
698Dic43⋊C4—21no—
699Dic43⋊C4—21no—
700Dic43⋊C4—21no—
701Dic43⋊C4—21no—
702Dic43⋊C4—21no—
703Dic43⋊C4—21no—
704Dic43⋊C4—21no—
705Dic43⋊C4—21no—
706Dic43⋊C4—21no—
707Dic43⋊C4C2×D411yescharacteristic
708Dic43⋊C4C2×D411yescharacteristic
709Dic43⋊C4C2×D411yescharacteristic
710Dic43⋊C4C2×D411yescharacteristic
711C4×Dic43—21no—
712C4×Dic43—21no—
713C4×Dic43—21no—
714C4×Dic43—21no—
715C4×Dic43C2411yescharacteristic
716#10621877—41no—
717#10621877—41no—
718C2×C43⋊C8C2411yescharacteristic
719C2×C43⋊C8C2411yescharacteristic
720C2×C43⋊C8C2411yescharacteristic
721C2×C43⋊C8C2411yescharacteristic
722Dic172—22no—
723Dic172—22no—
724Dic172—41no—
725Dic172—41no—
726Dic172—41no—
727Dic172—41no—
728#10621873—22no—
729#10621873—41no—
730#10621873—41no—
731#10621872—41no—
732#10621872—41no—
733#10621872—41no—
734C8×D43—41no—
735C23×C43—21no—
736C23×C43—21no—
737C23×C43—42no—
738C23×C43—42no—
739C23×C43—81no—
740C23×C43C22×D411yescharacteristic
741C23×C43C22×D411yescharacteristic
742C22×D43—21no—
743C22×D43—41no—
744C22×D43—41no—
745C22×D43—41no—
746C22×D43C22×D411yescharacteristic
747C22×D43C22×D411yescharacteristic
748C22×D43C22×D411yescharacteristic
749Q8×C43—21no—
750Q8×C43—21no—
751Q8×C43—21no—
752Q8×C43—21no—
753Q8×C43—81no—
754D4×C43—21no—
755D4×C43—21no—
756D4×C43—21no—
757D4×C43—41no—
758D4×C43—42no—
759D4×C43—42no—
760D4×C43—81no—
761D4×C43H(5,𝔽2)12yes—
762C2×C4×C43—21no—
763C2×C4×C43—21no—
764C2×C4×C43—21no—
765C2×C4×C43—21no—
766C2×C4×C43—21no—
767C2×C4×C43—21no—
768C2×C4×C43—21no—
769C2×C4×C43—21no—
770C2×C4×C43—21no—
771C2×C4×C43—21no—
772C2×C4×C43—42no—
773C2×C4×C43—81no—
774C2×C4×C43C22×D411yescharacteristic
775C2×C4×C43C22×D411yescharacteristic
776C2×C4×C43C22×D411yescharacteristic
777C2×C4×C43C22×D411yescharacteristic
778C2×C4×C43C2511yescharacteristic
779C22⋊D43—24no—
780C22⋊D43—41no—
781C22⋊D43—41no—
782C22⋊D43—41no—
783C22⋊D43—41no—
784C22⋊D43—42no—
785C22⋊D43—42no—
786C22⋊D43—42no—
787C22⋊D43—42no—
788C22⋊D43—81no—
789C22⋊D43—81no—
790C22⋊D43—81no—
791C2×Dic43—24no—
792C2×Dic43—21no—
793C2×Dic43—21no—
794C2×Dic43—21no—
795C2×Dic43—21no—
796C2×Dic43—21no—
797C2×Dic43—21no—
798C2×Dic43—21no—
799C2×Dic43—41no—
800C2×Dic43—42no—
801C2×Dic43—42no—
802C2×Dic43—42no—
803C2×Dic43—42no—
804C2×Dic43—42no—
805C2×Dic43—42no—
806C2×Dic43—81no—
807C2×Dic43—81no—
808C2×Dic43C22×D411yescharacteristic
809C2×Dic43C22×D411yescharacteristic
810C2×Dic43C22×D411yescharacteristic
811C2×Dic43C22×D411yescharacteristic
812C2×Dic43C22×D411yescharacteristic
813D172—21no—
814D172—21no—
815D172—41no—
816D172—41no—
817D172—42no—
818D172—81no—
819D172—81no—
820C4×D43—21no—
821C4×D43—21no—
822C4×D43—21no—
823C4×D43—21no—
824C4×D43—21no—
825C4×D43—21no—
826C4×D43—41no—
827C4×D43—41no—
828C4×D43—42no—
829C4×D43—42no—
830C4×D43—81no—
831C4×D43—81no—
832C4×D43—81no—
833C4×D43—81no—
834C4×D43—81no—
835C4×D43—81no—
836C4×D43—81no—
837Dic86—21no—
838Dic86—21no—
839Dic86—21no—
840Dic86—21no—
841Dic86—21no—
842Dic86—21no—
843Dic86—21no—
844Dic86—21no—
845Dic86—21no—
846Dic86—41no—
847Dic86—42no—
848Dic86—42no—
849Dic86—42no—
850Dic86—42no—
851Dic86—81no—
852Dic86—81no—
853Dic86H(5,𝔽2)12yes—
854C8×C43—21no—
855C8×C43—21no—
856C8×C43—21no—
857C8×C43—21no—
858C43⋊C8—21no—
859C43⋊C8—21no—
860C43⋊C8—21no—
861C43⋊C8—21no—
862#61655—431nomaximal, Sylow
863C22×C43—21no—
864C22×C43—21no—
865C22×C43—21no—
866C22×C43—21no—
867C22×C43—21no—
868C22×C43—22no—
869C22×C43—21no—
870C22×C43—41no—
871C22×C43—41no—
872C22×C43—41no—
873C22×C43—41no—
874C22×C43—41no—
875C22×C43—84no—
876C22×C43C23×D411yescharacteristic
877C2×D43—21no—
878C2×D43—21no—
879C2×D43—21no—
880C2×D43—21no—
881C2×D43—21no—
882C2×D43—21no—
883C2×D43—21no—
884C2×D43—21no—
885C2×D43—21no—
886C2×D43—41no—
887C2×D43—41no—
888C2×D43—41no—
889C2×D43—82no—
890C4×C43—21no—
891C4×C43—21no—
892C4×C43—21no—
893C4×C43—21no—
894C4×C43—41no—
895C4×C43—41no—
896C4×C43—41no—
897C4×C43—41no—
898C4×C43—41no—
899C4×C43—41no—
900C4×C43C2×H(5,𝔽2)11yescharacteristic
901C4×C43C2×H(5,𝔽2)11yescharacteristic
902Dic43—21no—
903Dic43—21no—
904Dic43—22no—
905Dic43—21no—
906Dic43—21no—
907Dic43—21no—
908Dic43—41no—
909Dic43—41no—
910Dic43—41no—
911Dic43—41no—
912Dic43—41no—
913Dic43—41no—
914#3541—431no—
915#3489—431no—
916#3331—431no—
917#3328—431no—
918#3326—431no—
919#3323—431no—
920#3316—431no—
921#3312—431no—
922#3311D4311yescharacteristic, complemented
923#3307—431no—
924#3277—431no—
925#3276—431no—
926#3276—431no—
927#3275—431no—
928#3270—431no—
929#3270—431no—
930#3269—431no—
931#3267—431no—
932#3225—431no—
933#3223—431no—
934#3204—431no—
935#3201—431no—
936#3196—431no—
937#3195—431no—
938#3125—431no—
939#3120—431no—
940#3013—431no—
941#3011—431no—
942#3007—431no—
943#3005—431no—
944#2978—431no—
945C2×C43—41no—
946C2×C43—41no—
947C2×C43—42no—
948C2×C43—81no—
949C2×C43#348411yescharacteristic
950C2×C43#358611yescharacteristic
951C2×C43#358611yescharacteristic
952D43—41no—
953D43—41no—
954D43—41no—
955D43—81no—
956C2×2−1+4—431no—
957C22×#41—431no—
958C2×#137—431no—
959C2×#137—431no—
960C2×#137—431no—
961C2×#137—431no—
962C2×#137—431no—
963C2×AGL(1,ℤ/8)—431no—
964C2×#135—431no—
965C22×Q16—431no—
966#563—861no—
967#562—861no—
968#556C2×D4311yescharacteristic
969#554—431no—
970#554—861no—
971#553—431no—
972#553—861no—
973#552—431no—
974D4×Q8—431no—
975D4×Q8—431no—
976D4×Q8—431no—
977#548—431no—
978#548—431no—
979#548—431no—
980#548—431no—
981#547—431no—
982#547—431no—
983#547—431no—
984#547—861no—
985#547—861no—
986#546—431no—
987#546—861no—
988#546—861no—
989#546C2×D4311yescharacteristic
990#542—431no—
991#542—861no—
992#541—431no—
993#539—861no—
994#538—861no—
995#538—861no—
996#537—431no—
997#537—431no—
998#537—861no—
999#536—431no—
1000#536—431no—
1001#536—861no—
1002#525—431no—
1003#525—431no—
1004#525—861no—
1005C2×C22⋊Q8—431no—
1006C2×C22⋊Q8—431no—
1007C2×C22⋊Q8—861no—
1008#520—431no—
1009#497—431no—
1010#497—431no—
1011#495—431no—
1012#494—431no—
1013#491—431no—
1014#489C2×D4311yescharacteristic, complemented
1015#488—431no—
1016#487—431no—
1017#485—431no—
1018#485—431no—
1019#485C2×D4311yescharacteristic
1020#484—431no—
1021#483—431no—
1022#483—431no—
1023#483—431no—
1024#483—431no—
1025#483—431no—
1026#482C2×D4311yescharacteristic, complemented
1027#481—431no—
1028#481—431no—
1029#479—431no—
1030#478—431no—
1031#476C2×D4311yescharacteristic, complemented
1032#475—431no—
1033#470—431no—
1034#470—431no—
1035#470—431no—
1036#470—431no—
1037#470—431no—
1038#470—431no—
1039#470—431no—
1040#470C2×D4311yescharacteristic
1041#469—431no—
1042#468—431no—
1043#468—431no—
1044#468—431no—
1045#467—431no—
1046#465—431no—
1047#465—431no—
1048#465C2×D4311yescharacteristic, complemented
1049#464—431no—
1050#464—431no—
1051#464—431no—
1052#464C2×D4311yescharacteristic, complemented
1053#463—431no—
1054#463—431no—
1055#462—431no—
1056#462—431no—
1057#462—431no—
1058#462—431no—
1059#461—431no—
1060#461—431no—
1061#452—431no—
1062#452—431no—
1063#452—431no—
1064#452—431no—
1065#452—431no—
1066#452—431no—
1067#452—431no—
1068#452—431no—
1069#452—431no—
1070#452—431no—
1071#452—431no—
1072#452—431no—
1073#452—431no—
1074#452C2×D4311yescharacteristic, complemented
1075#451—431no—
1076#451—431no—
1077#451—431no—
1078#451—431no—
1079#451—431no—
1080#451—431no—
1081#451—431no—
1082#451—431no—
1083#451—431no—
1084#451—431no—
1085#451—431no—
1086#450—431no—
1087#450C2×D4311yescharacteristic
1088#449—431no—
1089#449—431no—
1090#449—431no—
1091#449—431no—
1092#449—431no—
1093#449—431no—
1094#448—431no—
1095#448—431no—
1096#448—431no—
1097#442—431no—
1098#441—431no—
1099#441—431no—
1100#440C2×D4311yescharacteristic, complemented
1101C4×Q16—431no—
1102C4×SD16—431no—
1103C4×SD16—431no—
1104C4×SD16—431no—
1105#436—431no—
1106#436—431no—
1107#436—431no—
1108#436—431no—
1109#435—431no—
1110#435—431no—
1111#435—431no—
1112#435C2×D4311yescharacteristic
1113#433—431no—
1114#433—431no—
1115#419—431no—
1116#419—431no—
1117#418C2×D4311yescharacteristic
1118#417—431no—
1119#417—431no—
1120#417—431no—
1121#416C2×D4311yescharacteristic, complemented
1122C2×#103—431no—
1123#408—431no—
1124#408—431no—
1125#407—431no—
1126#407—431no—
1127C43#6165511yescharacteristic, complemented, Sylow
11282−1+4—1722no—
11292−1+4—1722no—
1130C2×#41—431no—
1131C2×#41—431no—
1132C2×#41—431no—
1133C2×#41—431no—
1134C2×#41—431no—
1135C2×#41—431no—
1136C2×#41—431no—
1137C2×#41—431no—
1138C2×#41—861no—
1139C2×#41—861no—
1140C2×#41—861no—
1141C2×#41—861no—
1142C2×#41—861no—
1143C2×#41—1722no—
1144C2×#41—1722no—
1145C2×#41C22×D4311yescharacteristic
1146C22×Q8—431no—
1147C22×Q8—431no—
1148C22×Q8—431no—
1149C22×Q8—431no—
1150C22×Q8—431no—
1151C22×Q8—431no—
1152C22×Q8—861no—
1153C22×D4—861no—
1154C22×D4C22×D4311yescharacteristic
1155C23×C4—431no—
1156C23×C4—861no—
1157#137—1722no—
1158#137—1722no—
1159#137—1722no—
1160#137—1722no—
1161#137—1722no—
1162AGL(1,ℤ/8)—1722no—
1163#135—1722no—
1164C2×Q16—431no—
1165C2×Q16—431no—
1166C2×Q16—431no—
1167C2×Q16—431no—
1168C2×Q16—431no—
1169C2×Q16—431no—
1170C2×Q16—431no—
1171C2×Q16—431no—
1172C2×Q16—431no—
1173C2×Q16—431no—
1174C2×Q16—431no—
1175C2×Q16—1722no—
1176C2×Q16C22×D4311yescharacteristic
1177C2×SD16—431no—
1178C2×SD16—431no—
1179C2×SD16—431no—
1180C2×SD16—431no—
1181C2×SD16—431no—
1182C2×SD16—431no—
1183C2×SD16—431no—
1184C2×SD16—431no—
1185C2×SD16C22×D4311yescharacteristic
1186C2×SD16C22×D4311yescharacteristic
1187C2×D8—431no—
1188C2×D8—431no—
1189C2×M16—431no—
1190C2×M16—431no—
1191C2×M16—431no—
1192C2×M16—431no—
1193C2×M16—431no—
1194C2×M16C22×D4311yescharacteristic
1195C22×C8—431no—
1196C22×C8C22×D4311yescharacteristic
1197C4⋊Q8—431no—
1198C4⋊Q8—431no—
1199C4⋊Q8—431no—
1200C4⋊Q8—861no—
1201C4⋊Q8—861no—
1202C4⋊Q8—861no—
1203C4⋊Q8—861no—
1204C4⋊Q8C22×D4311yescharacteristic
1205#126—21no—
1206#126—21no—
1207#126—861no—
1208#126—861no—
1209#126—861no—
1210#126—861no—
1211#126—861no—
1212#125—431no—
1213#125—861no—
1214#125—861no—
1215#125—861no—
1216#125—861no—
1217#124—21no—
1218#124—431no—
1219#124—431no—
1220#124—861no—
1221#124—861no—
1222#124—861no—
1223#124—861no—
1224#124—861no—
1225#124—861no—
1226#124C22×D4311yescharacteristic
1227#123—21no—
1228#123—431no—
1229#123—431no—
1230#123—861no—
1231#123—861no—
1232#123—861no—
1233#123—861no—
1234#123—861no—
1235#123—861no—
1236#123—861no—
1237#123—861no—
1238#123—861no—
1239#123—861no—
1240#123—861no—
1241#123—861no—
1242#123—861no—
1243#123—861no—
1244#123—861no—
1245C22⋊Q8—431no—
1246C22⋊Q8—431no—
1247C22⋊Q8—431no—
1248C22⋊Q8—431no—
1249C22⋊Q8—431no—
1250C22⋊Q8—431no—
1251C22⋊Q8—431no—
1252C22⋊Q8—431no—
1253C22⋊Q8—431no—
1254C22⋊Q8—431no—
1255C22⋊Q8—431no—
1256C22⋊Q8—431no—
1257C22⋊Q8—431no—
1258C22⋊Q8—431no—
1259C22⋊Q8—861no—
1260C22⋊Q8—861no—
1261C22⋊Q8—861no—
1262C22⋊Q8—861no—
1263C22⋊Q8—861no—
1264C22⋊Q8—861no—
1265C22⋊Q8—861no—
1266C22⋊Q8—861no—
1267C22⋊Q8—861no—
1268C22⋊Q8—861no—
1269C22⋊Q8—861no—
1270C22⋊Q8—861no—
1271C22⋊Q8—861no—
1272C22⋊Q8—861no—
1273C22⋊Q8—861no—
1274C22⋊Q8—861no—
1275C22⋊Q8—861no—
1276C22⋊Q8—861no—
1277C22⋊Q8—861no—
1278C22⋊Q8—861no—
1279C22⋊Q8—861no—
1280C22⋊Q8C22×D4311yescharacteristic
1281C22⋊Q8C22×D4311yescharacteristic
1282C22⋊Q8C22×D4311yescharacteristic
1283#121—21no—
1284#121—431no—
1285#121—431no—
1286#121—431no—
1287#121—431no—
1288#121—431no—
1289#121—431no—
1290#121—861no—
1291#121—861no—
1292#121—861no—
1293#121—861no—
1294#121—861no—
1295#121—861no—
1296#121—861no—
1297#121—861no—
1298#121—861no—
1299#121—861no—
1300#121—861no—
1301#121—861no—
1302#121—861no—
1303#121—861no—
1304#121—861no—
1305#121C22×D4311yescharacteristic
1306#120—21no—
1307#120—431no—
1308#120—431no—
1309#120—861no—
1310#120—861no—
1311C4×Q8—21no—
1312C4×Q8—431no—
1313C4×Q8—431no—
1314C4×Q8—431no—
1315C4×Q8—431no—
1316C4×Q8C22×D4311yescharacteristic
1317C4×D4—431no—
1318C4×D4—431no—
1319C4×D4—431no—
1320C4×D4—431no—
1321C4×D4—431no—
1322C4×D4—861no—
1323C4×D4—861no—
1324C4×D4—861no—
1325C4×D4—861no—
1326C4×D4—861no—
1327C4×D4—861no—
1328C4×D4—861no—
1329C4×D4—861no—
1330C4×D4—861no—
1331C4×D4—861no—
1332C4×D4—861no—
1333C4×D4—861no—
1334C4×D4—861no—
1335C4×D4C22×D4311yescharacteristic
1336C4×D4C22×D4311yescharacteristic
1337#117—431no—
1338#117—861no—
1339#117—861no—
1340#117C22×D4311yescharacteristic
1341#117C22×D4311yescharacteristic
1342C2×C4⋊C4—431no—
1343C2×C4⋊C4—431no—
1344C2×C4⋊C4—431no—
1345C2×C4⋊C4—861no—
1346C2×C4⋊C4—861no—
1347C2×C4⋊C4—861no—
1348C2×C4⋊C4—861no—
1349C2×C4⋊C4—861no—
1350C2×C4⋊C4—861no—
1351C2×C22⋊C4—21no—
1352C2×C22⋊C4—861no—
1353C2×C22⋊C4—861no—
1354C2×C22⋊C4—861no—
1355#107—431no—
1356#107C22×D4311yescharacteristic
1357#106—431no—
1358#106—431no—
1359#106—431no—
1360#106—431no—
1361#106C22×D4311yescharacteristic
1362#106C22×D4311yescharacteristic
1363C4⋊C8—431no—
1364C4⋊C8—431no—
1365C4⋊C8—431no—
1366C4⋊C8C22×D4311yescharacteristic
1367#103—431no—
1368#103—431no—
1369#103—431no—
1370#103—431no—
1371#103—431no—
1372#103—431no—
1373#103—431no—
1374#103—431no—
1375#103—431no—
1376#103—431no—
1377#103—431no—
1378#103—431no—
1379#103—431no—
1380#103—431no—
1381#103—431no—
1382#103—431no—
1383#103—431no—
1384#103—431no—
1385#103C22×D4311yescharacteristic
1386#103C22×D4311yescharacteristic
1387#103C22×D4311yescharacteristic
1388#103C22×D4311yescharacteristic
1389#102—431no—
1390#102—431no—
1391#102—431no—
1392#102—431no—
1393#102C22×D4311yescharacteristic
1394#102C22×D4311yescharacteristic
1395#102C22×D4311yescharacteristic
1396#102C22×D4311yescharacteristic
1397#102C22×D4311yescharacteristic
1398#102C22×D4311yescharacteristic
1399C22⋊C8—431no—
1400C22⋊C8—431no—
1401C22⋊C8—431no—
1402C22⋊C8—431no—
1403C22⋊C8—431no—
1404C22⋊C8—431no—
1405C22⋊C8—431no—
1406C22⋊C8—431no—
1407C22⋊C8—431no—
1408C22⋊C8—431no—
1409C22⋊C8C22×D4311yescharacteristic
1410C22⋊C8C22×D4311yescharacteristic
1411#97—431no—
1412#97C22×D4311yescharacteristic
1413C4×C8—431no—
1414C4×C8—431no—
1415C24—21no—
1416C24—431no—
1417#41—22no—
1418#41—41no—
1419#41—862no—
1420#41—862no—
1421#41—862no—
1422#41—862no—
1423#41—862no—
1424#41—1721no—
1425#41—1721no—
1426#41—1721no—
1427#41—1721no—
1428#41—1724no—
1429#41—1721no—
1430#41—1721no—
1431#41—1721no—
1432#41—1721no—
1433#41—1721no—
1434#41—1721no—
1435#41—1721no—
1436#41—1724no—
1437#41—1724no—
1438#41—1724no—
1439#41—1724no—
1440C2×Q8—21no—
1441C2×Q8—431no—
1442C2×Q8—431no—
1443C2×Q8—431no—
1444C2×Q8—431no—
1445C2×Q8—431no—
1446C2×Q8—431no—
1447C2×Q8—861no—
1448C2×Q8—861no—
1449C2×Q8—861no—
1450C2×Q8—862no—
1451C2×Q8—862no—
1452C2×Q8—861no—
1453C2×Q8—861no—
1454C2×Q8—861no—
1455C2×Q8—862no—
1456C2×Q8—1721no—
1457C2×Q8—1721no—
1458C2×Q8—1721no—
1459C2×Q8—1721no—
1460C2×Q8—1724no—
1461C2×Q8—1721no—
1462C2×Q8—1721no—
1463C2×Q8—1721no—
1464C2×Q8—1721no—
1465C2×Q8—1721no—
1466C2×Q8C23×D4311yescharacteristic
1467C2×Q8C23×D4311yescharacteristic
1468C2×D4—22no—
1469C2×D4—21no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—41no—
1473C2×D4—431no—
1474C2×D4—431no—
1475C2×D4—431no—
1476C2×D4—431no—
1477C2×D4—431no—
1478C2×D4—431no—
1479C2×D4—431no—
1480C2×D4—861no—
1481C2×D4—861no—
1482C2×D4—861no—
1483C2×D4—861no—
1484C2×D4—861no—
1485C2×D4—861no—
1486C2×D4—861no—
1487C2×D4—861no—
1488C2×D4—861no—
1489C2×D4—861no—
1490C2×D4—861no—
1491C2×D4—1724no—
1492C2×D4D4×D4311yescharacteristic
1493C2×D4C23×D4311yescharacteristic
1494C2×D4C23×D4311yescharacteristic
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—431no—
1498C22×C4—431no—
1499C22×C4—431no—
1500C22×C4—431no—
1501C22×C4—431no—
1502C22×C4—431no—
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—1721no—
1522C22×C4—1721no—
1523C22×C4—1724no—
1524C22×C4C23×D4311yescharacteristic
1525C22×C4C23×D4311yescharacteristic
1526Q16—41no—
1527Q16—862no—
1528Q16—862no—
1529Q16—862no—
1530Q16—1721no—
1531Q16—1721no—
1532Q16—1721no—
1533Q16—1721no—
1534Q16—1721no—
1535Q16—1721no—
1536Q16—1721no—
1537Q16—1721no—
1538SD16—22no—
1539SD16—41no—
1540SD16—862no—
1541SD16—862no—
1542SD16—862no—
1543SD16—1721no—
1544SD16—1721no—
1545SD16—1721no—
1546SD16—1721no—
1547SD16—1721no—
1548D8—862no—
1549D8—1721no—
1550M16—41no—
1551M16—1721no—
1552M16—1721no—
1553M16—1721no—
1554M16—1721no—
1555M16—1721no—
1556C2×C8—41no—
1557C2×C8—431no—
1558C2×C8—431no—
1559C2×C8—431no—
1560C2×C8—431no—
1561C2×C8—1721no—
1562C2×C8C23×D4311yescharacteristic
1563C2×C8C23×D4311yescharacteristic
1564C2×C8C23×D4311yescharacteristic
1565C2×C8C23×D4311yescharacteristic
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—21no—
1571C4⋊C4—431no—
1572C4⋊C4—431no—
1573C4⋊C4—431no—
1574C4⋊C4—431no—
1575C4⋊C4—431no—
1576C4⋊C4—431no—
1577C4⋊C4—431no—
1578C4⋊C4—861no—
1579C4⋊C4—861no—
1580C4⋊C4—861no—
1581C4⋊C4—861no—
1582C4⋊C4—861no—
1583C4⋊C4—861no—
1584C4⋊C4—861no—
1585C4⋊C4—861no—
1586C4⋊C4—861no—
1587C4⋊C4—861no—
1588C4⋊C4—861no—
1589C4⋊C4—861no—
1590C4⋊C4—861no—
1591C4⋊C4—861no—
1592C4⋊C4—861no—
1593C4⋊C4—861no—
1594C4⋊C4—861no—
1595C4⋊C4—861no—
1596C4⋊C4—861no—
1597C4⋊C4—861no—
1598C4⋊C4—861no—
1599C4⋊C4—861no—
1600C4⋊C4—861no—
1601C4⋊C4—861no—
1602C4⋊C4—861no—
1603C4⋊C4—861no—
1604C4⋊C4—861no—
1605C4⋊C4D4×D4311yescharacteristic
1606C4⋊C4C23×D4311yescharacteristic
1607C4⋊C4C23×D4311yescharacteristic
1608C4⋊C4C23×D4311yescharacteristic
1609C4⋊C4C23×D4311yescharacteristic
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—431no—
1620C22⋊C4—431no—
1621C22⋊C4—431no—
1622C22⋊C4—431no—
1623C22⋊C4—431no—
1624C22⋊C4—431no—
1625C22⋊C4—431no—
1626C22⋊C4—431no—
1627C22⋊C4—861no—
1628C22⋊C4—861no—
1629C22⋊C4—861no—
1630C22⋊C4—861no—
1631C22⋊C4—861no—
1632C22⋊C4—861no—
1633C22⋊C4—861no—
1634C22⋊C4—861no—
1635C22⋊C4—861no—
1636C22⋊C4—861no—
1637C22⋊C4—861no—
1638C22⋊C4—861no—
1639C22⋊C4—861no—
1640C22⋊C4—861no—
1641C22⋊C4—861no—
1642C22⋊C4—861no—
1643C22⋊C4—861no—
1644C22⋊C4—861no—
1645C22⋊C4—861no—
1646C22⋊C4—861no—
1647C22⋊C4—861no—
1648C22⋊C4—861no—
1649C22⋊C4D4×D4311yescharacteristic
1650C22⋊C4D4×D4311yescharacteristic
1651C42—21no—
1652C42—21no—
1653C42—21no—
1654C42—431no—
1655C42—861no—
1656C42—861no—
1657C42—861no—
1658C42—861no—
1659C42C23×D4311yescharacteristic
1660C23—21no—
1661C23—21no—
1662C23—42no—
1663C23—42no—
1664C23—81no—
1665C23—431no—
1666C23—431no—
1667C23—431no—
1668C23—861no—
1669C23—1721no—
1670C23—1721no—
1671C23—1721no—
1672C23C2×D4×D4311yescharacteristic
1673C23C2×D4×D4311yescharacteristic
1674Q8—21no—
1675Q8—21no—
1676Q8—21no—
1677Q8—21no—
1678Q8—81no—
1679Q8—432no—
1680Q8—861no—
1681Q8—861no—
1682Q8—861no—
1683Q8—861no—
1684Q8—861no—
1685Q8—861no—
1686Q8—861no—
1687Q8—861no—
1688Q8—861no—
1689Q8—3441no—
1690Q8—3441no—
1691Q8—1721no—
1692Q8—1722no—
1693Q8—1722no—
1694Q8—1722no—
1695Q8—1722no—
1696D4—21no—
1697D4—21no—
1698D4—21no—
1699D4—41no—
1700D4—42no—
1701D4—42no—
1702D4—81no—
1703D4—864no—
1704D4—861no—
1705D4—861no—
1706D4—3441no—
1707D4—3441no—
1708D4—3441no—
1709D4—3441no—
1710D4—3441no—
1711D4—1721no—
1712D4—1721no—
1713D4—1722no—
1714D4—1721no—
1715D4—1721no—
1716D4—1721no—
1717D4—1721no—
1718D4—1722no—
1719D4—1722no—
1720D4—1722no—
1721D4—1722no—
1722D4#1306337112yes—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—42no—
1734C2×C4—81no—
1735C2×C4—431no—
1736C2×C4—431no—
1737C2×C4—431no—
1738C2×C4—431no—
1739C2×C4—431no—
1740C2×C4—864no—
1741C2×C4—861no—
1742C2×C4—861no—
1743C2×C4—861no—
1744C2×C4—861no—
1745C2×C4—861no—
1746C2×C4—861no—
1747C2×C4—861no—
1748C2×C4—861no—
1749C2×C4—861no—
1750C2×C4—861no—
1751C2×C4—861no—
1752C2×C4—861no—
1753C2×C4—861no—
1754C2×C4—3441no—
1755C2×C4—3441no—
1756C2×C4—3441no—
1757C2×C4—3441no—
1758C2×C4—3441no—
1759C2×C4—3441no—
1760C2×C4—3441no—
1761C2×C4—3441no—
1762C2×C4—3441no—
1763C2×C4—1721no—
1764C2×C4—1721no—
1765C2×C4—1722no—
1766C2×C4—1722no—
1767C2×C4—1721no—
1768C2×C4—1722no—
1769C2×C4—1722no—
1770C2×C4—1722no—
1771C2×C4—1722no—
1772C2×C4—1722no—
1773C2×C4—1722no—
1774C2×C4C2×D4×D4311yescharacteristic
1775C2×C4C2×D4×D4311yescharacteristic
1776C2×C4C2×D4×D4311yescharacteristic
1777C2×C4C2×D4×D4311yescharacteristic
1778C2×C4C24×D4311yescharacteristic
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—21no—
1783C8—861no—
1784C8—861no—
1785C8—861no—
1786C8—861no—
1787C22—21no—
1788C22—21no—
1789C22—21no—
1790C22—21no—
1791C22—21no—
1792C22—21no—
1793C22—22no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—84no—
1800C22—861no—
1801C22—861no—
1802C22—861no—
1803C22—861no—
1804C22—861no—
1805C22—861no—
1806C22—861no—
1807C22—861no—
1808C22—861no—
1809C22—3442no—
1810C22—1721no—
1811C22—1721no—
1812C22—1721no—
1813C22C22×D4×D4311yescharacteristic
1814C4—21no—
1815C4—21no—
1816C4—21no—
1817C4—21no—
1818C4—41no—
1819C4—41no—
1820C4—41no—
1821C4—41no—
1822C4—41no—
1823C4—41no—
1824C4—861no—
1825C4—861no—
1826C4—861no—
1827C4—861no—
1828C4—861no—
1829C4—862no—
1830C4—1721no—
1831C4—1721no—
1832C4—1721no—
1833C4—1721no—
1834C4—1721no—
1835C4—1721no—
1836C4H(5,𝔽2)×D4311yescharacteristic
1837C4C2×#1306337111yescharacteristic
1838C2—41no—
1839C2—41no—
1840C2—42no—
1841C2—81no—
1842C2—3441no—
1843C2—1721no—
1844C2—1721no—
1845C2—1721no—
1846C2#1914822511yescharacteristic
1847C2#1914937711yescharacteristic
1848C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3311C2
socleC22×C43C23×D4
hypercenter#3311D43
hypocenterC43#61655
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3311

Complements

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

NH ≅ G/Ntype
1. #19148895C2semidirect
2. #19148266C2semidirect
3. #19146908C2semidirect
4. #19146872C2semidirect
5. #19146846C2semidirect
6. #19146807C2semidirect
7. #19146705C2semidirect
8. #19146649C2semidirect
9. #19146567C2semidirect
10. #19146247C2semidirect
11. #19146239C2semidirect
12. #19146238C2semidirect
13. #19146222C2semidirect
14. #19146170C2semidirect
15. #19146162C2semidirect
16. #19146152C2semidirect
17. #19146118C2semidirect
18. #19145705C2semidirect
19. #19145675C2semidirect
20. #19145500C2semidirect
21. #19145475C2semidirect
22. #19145429C2semidirect
23. #19145415C2semidirect
24. #19144877C2semidirect
25. #19144813C2semidirect
26. #19143914C2semidirect
27. #19143893C2semidirect
28. #19143850C2semidirect
29. #19143839C2semidirect
30. #19143654C2semidirect
31. C43×#3311C2semidirect
35. C2×#13063357C22semidirect
36. C2×#13063355C22semidirect
40. C2×#13063346C22semidirect
41. C22×Dic172C22semidirect
44. #14583610C22semidirect
47. #14583593C22semidirect
51. #14583562C22semidirect
52. #14583561C22semidirect
64. #14583523C22semidirect
66. #14583507C22semidirect
70. #14583479C22semidirect
73. #14583475C22semidirect
83. #14583293C22semidirect
84. #14583290C22semidirect
85. #14583281C22semidirect
86. #14583277C22semidirect
87. #14583266C22semidirect
88. #14583252C22semidirect
89. #14583251C22semidirect
91. #14583240C22semidirect
92. #14583236C22semidirect
93. #14583231C22semidirect
94. #14583231C22semidirect
95. #14583231C22semidirect
96. #14583228C22semidirect
97. #14583228C22semidirect
98. #14583219C22semidirect
99. #14583216C22semidirect
100. #14583205C22semidirect
101. #14583201C22semidirect
102. #14583181C22semidirect
103. #14583158C22semidirect
104. #14583158C22semidirect
106. #14583156C22semidirect
109. #14583155C22semidirect
110. #14583150C22semidirect
111. #14583148C22semidirect
112. #14583146C22semidirect
113. #14583144C22semidirect
114. #14583141C22semidirect
115. #14583128C22semidirect
116. #14583127C22semidirect
117. #14583122C22semidirect
118. #14583120C22semidirect
119. #14583118C22semidirect
120. #14583114C22semidirect
121. #14583113C22semidirect
122. #14583110C22semidirect
123. #14583109C22semidirect
124. #14583108C22semidirect
125. #14583108C22semidirect
126. #14583103C22semidirect
127. #14583102C22semidirect
128. #14583064C22semidirect
136. #14583062C22semidirect
137. #14583062C22semidirect
142. #14583057C22semidirect
143. #14583056C22semidirect
144. #14583056C22semidirect
145. #14583056C22semidirect
146. #14583056C22semidirect
147. #14583056C22semidirect
149. #14583054C22semidirect
150. #14583053C22semidirect
151. #14583053C22semidirect
157. #14583044C22semidirect
158. #14583043C22semidirect
159. #14583040C22semidirect
160. #14583039C22semidirect
161. #14583037C22semidirect
162. #14583008C22semidirect
163. #14583007C22semidirect
164. #14583005C22semidirect
165. C4×#10621885C22semidirect
166. #14582990C22semidirect
167. #14582986C22semidirect
168. C4×#10621883C22semidirect
170. #14582976C22semidirect
172. #14582974C22semidirect
174. #14582972C22semidirect
175. #14582970C22semidirect
176. #14582961C22semidirect
177. #14582959C22semidirect
179. #14582907C22semidirect
182. #14582897C22semidirect
183. #103×D43C22semidirect
184. #14582865C22semidirect
185. #14582864C22semidirect
190. C43×#489C22semidirect
192. C43×#482C22semidirect
193. C43×#476C22semidirect
195. C43×#465C22semidirect
196. C43×#464C22semidirect
197. C43×#452C22semidirect
199. C43×#440C22semidirect
202. C43×#416C22semidirect
922. #3311D43semidirect
1014. #489C2×D43semidirect
1026. #482C2×D43semidirect
1031. #476C2×D43semidirect
1048. #465C2×D43semidirect
1052. #464C2×D43semidirect
1074. #452C2×D43semidirect
1100. #440C2×D43semidirect
1121. #416C2×D43semidirect
1127. C43#61655semidirect

Maximal subgroups

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

subgroupindex
#191488952
#191482662
#191469082
#191468722
#191468462
#191468072
#191467052
#191466492
#191465672
#191462472
#191462392
#191462382
#191462222
#191461702
#191461622
#191461522
#191461182
#191457052
#191456752
#191455002
#191454752
#191454292
#191454152
#191448772
#191448132
#191439142
#191438932
#191438502
#191438392
#191436542
C43×#33112
#6165543