Finite Group Databasebeta

← #27101749

Subgroups — #27101749

Order 12032.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257215C211yesmaximal, characteristic, complemented
2#20256878C211yesmaximal, characteristic, complemented
3#20255649C211yesmaximal, characteristic, complemented
4#20255599C211yesmaximal, characteristic, complemented
5#20255564C211yesmaximal, characteristic, complemented
6#20255536C211yesmaximal, characteristic, complemented
7#20255514C211yesmaximal, characteristic, complemented
8#20255486C211yesmaximal, characteristic, complemented
9#20255283C211yesmaximal, characteristic, complemented
10#20255233C211yesmaximal, characteristic, complemented
11#20255123C211yesmaximal, characteristic, complemented
12#20255098C211yesmaximal, characteristic, complemented
13#20255019C211yesmaximal, characteristic, complemented
14#20254999C211yesmaximal, characteristic, complemented
15#20254953C211yesmaximal, characteristic, complemented
16#20254909C211yesmaximal, characteristic, complemented
17#20254882C211yesmaximal, characteristic, complemented
18#20254420C211yesmaximal, characteristic, complemented
19#20254362C211yesmaximal, characteristic, complemented
20#20254227C211yesmaximal, characteristic, complemented
21#20254213C211yesmaximal, characteristic, complemented
22#20254175C211yesmaximal, characteristic, complemented
23#20254150C211yesmaximal, characteristic, complemented
24#20253495C211yesmaximal, characteristic, complemented
25#20253405C211yesmaximal, characteristic, complemented
26#20252636C211yesmaximal, characteristic, complemented
27#20252626C211yesmaximal, characteristic, complemented
28#20252602C211yesmaximal, characteristic, complemented
29#452×D47C211yesmaximal, characteristic, complemented
30#20252418C211yesmaximal, characteristic, complemented
31C47×#3268C211yesmaximal, characteristic, complemented
32C2×#41×D47C2211yescharacteristic
33C2×#41×D47C2211yescharacteristic, complemented
34C2×#13094053C2211yescharacteristic, complemented
35C2×#13094050C2211yescharacteristic, complemented
36C2×#13094048C2211yescharacteristic, complemented
37C2×#13094044C2211yescharacteristic, complemented
38C2×Q16×D47C2211yescharacteristic, complemented
39C2×SD16×D47C2211yescharacteristic, complemented
40#15689823C2211yescharacteristic
41#15689820—21no—
42#15689820C2211yescharacteristic, complemented
43#15689818—21no—
44#15689815C2211yescharacteristic, complemented
45#15689813C2211yescharacteristic, complemented
46#15689804—21no—
47#15689799—21no—
48Q8×D188C2211yescharacteristic, complemented
49#15689781C2211yescharacteristic
50#15689780C2211yescharacteristic
51#15689780C2211yescharacteristic, complemented
52#15689780C2211yescharacteristic, complemented
53#15689778—21no—
54#15689778C2211yescharacteristic
55#15689770—21no—
56#15689770—21no—
57#15689770C2211yescharacteristic
58#15689770C2211yescharacteristic, complemented
59#15689767C2211yescharacteristic, complemented
60#15689758—21no—
61#15689758C2211yescharacteristic, complemented
62#15689716—21no—
63#15689705—21no—
64#15689683—21no—
65#15689671—21no—
66#15689671C2211yescharacteristic, complemented
67#15689655C2211yescharacteristic, complemented
68#15689652C2211yescharacteristic, complemented
69#15689633—21no—
70#15689633—21no—
71#15689633C2211yescharacteristic
72#15689633C2211yescharacteristic, complemented
73#15689633C2211yescharacteristic, complemented
74#15689630C2211yescharacteristic, complemented
75C22⋊Q8×D47C2211yescharacteristic, complemented
76C2×#13093995C2211yescharacteristic, complemented
77#15689596—21no—
78C4×#10625354C2211yescharacteristic, complemented
79C4×D4×D47—21no—
80C4×D4×D47C2211yescharacteristic
81#15689518C2211yescharacteristic, complemented
82#15689506C2211yescharacteristic, complemented
83#15689506C2211yescharacteristic, complemented
84#15689492C2211yescharacteristic, complemented
85#15689487C2211yescharacteristic, complemented
86#15689476C2211yescharacteristic, complemented
87#15689476C2211yescharacteristic, complemented
88#15689466C2211yescharacteristic, complemented
89#15689466C2211yescharacteristic, complemented
90#15689465C2211yescharacteristic, complemented
91#15689462C2211yescharacteristic, complemented
92#15689460C2211yescharacteristic, complemented
93#15689459C2211yescharacteristic, complemented
94#15689445C2211yescharacteristic, complemented
95#15689445C2211yescharacteristic, complemented
96#15689445C2211yescharacteristic, complemented
97#15689444C2211yescharacteristic, complemented
98#15689440C2211yescharacteristic, complemented
99#15689439C2211yescharacteristic, complemented
100#15689432C2211yescharacteristic, complemented
101#15689430C2211yescharacteristic, complemented
102#15689426C2211yescharacteristic, complemented
103#15689424C2211yescharacteristic, complemented
104#15689381C2211yescharacteristic, complemented
105#15689380C2211yescharacteristic, complemented
106#15689379C2211yescharacteristic, complemented
107#15689373C2211yescharacteristic, complemented
108#15689368C2211yescharacteristic, complemented
109#15689367C2211yescharacteristic, complemented
110#15689366C2211yescharacteristic, complemented
111#15689364C2211yescharacteristic, complemented
112#15689356C2211yescharacteristic, complemented
113#15689356C2211yescharacteristic, complemented
114#15689351C2211yescharacteristic, complemented
115#15689351C2211yescharacteristic, complemented
116#15689350C2211yescharacteristic, complemented
117#15689350C2211yescharacteristic, complemented
118#15689343C2211yescharacteristic, complemented
119#15689343C2211yescharacteristic, complemented
120#15689343C2211yescharacteristic, complemented
121#15689337C2211yescharacteristic, complemented
122#15689336C2211yescharacteristic, complemented
123#15689336C2211yescharacteristic, complemented
124#15689335C2211yescharacteristic, complemented
125#15689334C2211yescharacteristic, complemented
126#15689328C2211yescharacteristic, complemented
127#15689320C2211yescharacteristic, complemented
128#15689288C2211yescharacteristic, complemented
129#15689287C2211yescharacteristic, complemented
130#15689287C2211yescharacteristic, complemented
131#15689286C2211yescharacteristic, complemented
132#15689286C2211yescharacteristic, complemented
133#15689286C2211yescharacteristic, complemented
134#15689285C2211yescharacteristic, complemented
135#15689285C2211yescharacteristic, complemented
136#15689285C2211yescharacteristic, complemented
137#15689284C2211yescharacteristic, complemented
138#15689283C2211yescharacteristic, complemented
139#15689282C2211yescharacteristic, complemented
140#15689282C2211yescharacteristic, complemented
141#15689280C2211yescharacteristic, complemented
142#15689277C2211yescharacteristic, complemented
143#15689274C2211yescharacteristic, complemented
144#15689272C2211yescharacteristic, complemented
145#15689267C2211yescharacteristic
146#15689267C2211yescharacteristic
147#15689266C2211yescharacteristic, complemented
148#15689265C2211yescharacteristic, complemented
149#15689265C2211yescharacteristic, complemented
150#15689265C2211yescharacteristic, complemented
151#15689265C2211yescharacteristic, complemented
152#15689265C2211yescharacteristic, complemented
153#15689260C2211yescharacteristic, complemented
154#15689260C2211yescharacteristic, complemented
155#15689260C2211yescharacteristic, complemented
156#15689260C2211yescharacteristic, complemented
157#15689255C2211yescharacteristic, complemented
158#15689255C2211yescharacteristic, complemented
159#15689255C2211yescharacteristic, complemented
160#15689233C2211yescharacteristic, complemented
161#15689228C2211yescharacteristic, complemented
162#15689225C2211yescharacteristic, complemented
163Q16×Dic47C2211yescharacteristic, complemented
164SD16×Dic47C2211yescharacteristic, complemented
165#15689208C2211yescharacteristic, complemented
166#15689203C2211yescharacteristic, complemented
167#15689199C2211yescharacteristic, complemented
168#15689198C2211yescharacteristic, complemented
169#15689196C2211yescharacteristic, complemented
170#15689195C2211yescharacteristic, complemented
171#15689193C2211yescharacteristic, complemented
172C8×C22⋊D47C2211yescharacteristic, complemented
173(C22⋊D47)⋊C8C2211yescharacteristic, complemented
174#15689178C2211yescharacteristic, complemented
175#15689175C2211yescharacteristic, complemented
176#15689130C2211yescharacteristic, complemented
177#15689126C2211yescharacteristic, complemented
178#15689125C2211yescharacteristic, complemented
179#15689124C2211yescharacteristic, complemented
180#15689120C2211yescharacteristic, complemented
181#15689119C2211yescharacteristic, complemented
182#103×D47C2211yescharacteristic, complemented
183#102×D47C2211yescharacteristic, complemented
184#15689086C2211yescharacteristic, complemented
185#15689085C2211yescharacteristic, complemented
186C2×(C2×D47)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D47C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
189C2×#135×C47C2211yescharacteristic, complemented
190C47×#550C2211yescharacteristic
191C47×#546C2211yescharacteristic, complemented
192C47×#496C2211yescharacteristic, complemented
193C47×#468C2211yescharacteristic, complemented
194C47×#466C2211yescharacteristic, complemented
195C47×#464C2211yescharacteristic, complemented
196C47×#459C2211yescharacteristic, complemented
197C47×#452C2211yescharacteristic, complemented
198C47×#449C2211yescharacteristic, complemented
199C47×#449C2211yescharacteristic, complemented
200C47×#447C2211yescharacteristic, complemented
201C47×#440C2211yescharacteristic, complemented
202C47×#435C2211yescharacteristic, complemented
203C2×#10625354C2311yescharacteristic
204C2×#10625350—21no—
205C2×#10625350—21no—
206C2×#10625350C2311yescharacteristic
207C2×#10625350C2311yescharacteristic
208C2×#10625352—21no—
209C2×#10625352—21no—
210C2×#10625352C2311yescharacteristic
211C2×#10625352C2311yescharacteristic
212C2×#10625352C2311yescharacteristic
213#41×D47—42no—
214#41×D47—42no—
215#41×D47—42no—
216#41×D47—42no—
217C2×Q8×D47C2311yescharacteristic
218C2×Q8×D47C2311yescharacteristic
219C2×Q8×D47C2311yescharacteristic
220C22×C22⋊D47—21no—
221C2×D4×D47—21no—
222C2×D4×D47—21no—
223C2×D4×D47—21no—
224C2×D4×D47D411yescharacteristic
225C2×D4×D47C2311yescharacteristic
226C2×D4×D47C2311yescharacteristic
227C22×C4×D47—21no—
228C22×C4×D47—21no—
229C22×C4×D47C2311yescharacteristic
230C22×C4×D47C2311yescharacteristic
231#13094053—42no—
232#13094050—42no—
233#13094048—42no—
234#13094044—42no—
235C2×Dic188C2311yescharacteristic
236C2×Dic188C2311yescharacteristic
237C2×#10625337C2311yescharacteristic
238C2×#10625337C2311yescharacteristic
239C2×#10625337C2311yescharacteristic
240Q16×D47—42no—
241C2×#10625325C2311yescharacteristic
242C2×#10625335C2311yescharacteristic
243C2×#10625335C2311yescharacteristic
244C2×#10625335C2311yescharacteristic
245C2×#10625335C2311yescharacteristic
246C2×#10625335C2311yescharacteristic
247C2×#10625335C2311yescharacteristic
248C2×#10625336C2311yescharacteristic
249SD16×D47—42no—
250C2×#10625334C2311yescharacteristic
251C2×#10625334C2311yescharacteristic
252C2×#10625329C2311yescharacteristic
253C2×#10625324C2311yescharacteristic
254C2×#10625324C2311yescharacteristic
255C22×C47⋊C8C2311yescharacteristic
256C2×C8×D47C2311yescharacteristic
257C2×C8×D47C2311yescharacteristic
258#13094024—21no—
259#13094024C2311yescharacteristic
260#13094019—21no—
261#13094017—21no—
262#13094017—21no—
263#13094017—21no—
264#13094017—21no—
265#13094017—21no—
266#13094016C2311yescharacteristic
267#13094015—21no—
268#13094015C2311yescharacteristic
269#13094014—21no—
270#13094011—21no—
271#13094011—21no—
272#13094011—21no—
273#13094011C2311yescharacteristic
274#13094011C2311yescharacteristic
275#13094011C2311yescharacteristic
276#13094010—21no—
277#13094008—21no—
278#13094007—21no—
279#13094006—21no—
280#13094006—21no—
281#13094006—21no—
282#13094006—21no—
283#13094006—21no—
284#13094006—21no—
285#13094006—21no—
286#13094006—21no—
287#13094006—21no—
288#13094005—21no—
289#13094005—21no—
290#13094005—21no—
291#13094005—21no—
292#13094004—21no—
293#13094004—21no—
294#13094004C2311yescharacteristic
295#13094004C2311yescharacteristic
296#13094004C2311yescharacteristic
297#13094003—21no—
298#13094003—21no—
299#13094003—21no—
300#13094003C2311yescharacteristic
301#13094003C2311yescharacteristic
302#13094003C2311yescharacteristic
303#13094003C2311yescharacteristic
304#13094002—21no—
305#13094001—21no—
306#13094001—21no—
307#13094000C2311yescharacteristic
308#13094000C2311yescharacteristic
309#13093997—21no—
310#13093997—21no—
311#13093996—21no—
312#13093995—21no—
313#13093995—21no—
314#13093995—21no—
315#13093995—21no—
316#13093995—21no—
317#13093995—21no—
318#13093995—21no—
319#13093995—21no—
320#13093995—21no—
321#13093995—21no—
322#13093995—21no—
323#13093995—21no—
324#13093995C2311yescharacteristic
325#13093995C2311yescharacteristic
326#13093995C2311yescharacteristic
327#13093995C2311yescharacteristic
328#13093995C2311yescharacteristic
329#13093995C2311yescharacteristic
330#13093995C2311yescharacteristic
331#13093993—21no—
332#13093992—21no—
333#13093992—21no—
334#13093992—21no—
335#13093992—21no—
336#13093992—21no—
337#13093992—21no—
338#13093992—21no—
339#13093992—21no—
340Q8×Dic47C2311yescharacteristic
341Q8×Dic47C2311yescharacteristic
342C4×Dic94C2311yescharacteristic
343C4×D188—21no—
344C4×D188—21no—
345C4×D188C2311yescharacteristic
346C4×D188C2311yescharacteristic
347D4×Dic47—21no—
348D4×Dic47—21no—
349D4×Dic47—21no—
350D4×Dic47—21no—
351D4×Dic47—21no—
352D4×Dic47D411yescharacteristic
353D4×Dic47C2311yescharacteristic
354#13093986—21no—
355#13093986D411yescharacteristic
356#13093986C2311yescharacteristic
357C4×C22⋊D47—21no—
358C4×C22⋊D47—21no—
359C4×C22⋊D47—21no—
360C4×C22⋊D47—21no—
361C4×C22⋊D47—21no—
362C4×C22⋊D47—21no—
363C4×C22⋊D47—21no—
364C4×C22⋊D47C2311yescharacteristic
365C4×C22⋊D47C2311yescharacteristic
366(C22⋊D47)⋊C4—21no—
367(C22⋊D47)⋊C4—21no—
368(C22⋊D47)⋊C4—21no—
369(C22⋊D47)⋊C4—21no—
370(C22⋊D47)⋊C4—21no—
371(C22⋊D47)⋊C4—21no—
372(C22⋊D47)⋊C4D411yescharacteristic
373(C22⋊D47)⋊C4D411yescharacteristic
374#13093983—21no—
375#13093983C2311yescharacteristic
376#13093982—21no—
377#13093982C2311yescharacteristic
378#13093982C2311yescharacteristic
379#13093980—21no—
380#13093980—21no—
381#13093980—21no—
382C2×C4⋊Dic47C2311yescharacteristic
383C4⋊C4×D47—21no—
384C4⋊C4×D47—21no—
385C4⋊C4×D47D411yescharacteristic
386C4⋊C4×D47C2311yescharacteristic
387C2×C22⋊Dic47—21no—
388C2×C22⋊Dic47—21no—
389C22⋊C4×D47—21no—
390C22⋊C4×D47—21no—
391C22⋊C4×D47—21no—
392C22⋊C4×D47D411yescharacteristic
393C22⋊C4×D47D411yescharacteristic
394C42×D47—21no—
395C42×D47C2311yescharacteristic
396#13093958C2311yescharacteristic
397#13093958C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093956C2311yescharacteristic
400#13093955C2311yescharacteristic
401#13093955C2311yescharacteristic
402#13093955C2311yescharacteristic
403C4⋊(C47⋊C8)C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406#13093949C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093949C2311yescharacteristic
410#13093949C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093948C2311yescharacteristic
416#13093948C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093947C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093945C2311yescharacteristic
430#13093945C2311yescharacteristic
431#13093944C2311yescharacteristic
432C22⋊(C47⋊C8)C2311yescharacteristic
433C22⋊(C47⋊C8)C2311yescharacteristic
434(C2×D47)⋊C8C2311yescharacteristic
435(C2×D47)⋊C8C2311yescharacteristic
436(C2×D47)⋊C8C2311yescharacteristic
437(C2×D47)⋊C8C2311yescharacteristic
438(C2×D47)⋊C8C2311yescharacteristic
439(C2×D47)⋊C8C2311yescharacteristic
440(C2×D47)⋊C8C2311yescharacteristic
441(C2×D47)⋊C8C2311yescharacteristic
442#13093935C2311yescharacteristic
443C8×Dic47C2311yescharacteristic
444C8×Dic47C2311yescharacteristic
445C2×#41×C47C2311yescharacteristic
446C2×#41×C47C2311yescharacteristic
447C2×#41×C47C2311yescharacteristic
448C22×D4×C47C2311yescharacteristic
449AGL(1,ℤ/8)×C47—42no—
450#135×C47—42no—
451C2×Q16×C47C2311yescharacteristic
452C2×SD16×C47C2311yescharacteristic
453C2×SD16×C47C2311yescharacteristic
454C2×SD16×C47C2311yescharacteristic
455C2×SD16×C47C2311yescharacteristic
456C2×D8×C47C2311yescharacteristic
457C2×D8×C47C2311yescharacteristic
458C2×D8×C47C2311yescharacteristic
459C2×D8×C47C2311yescharacteristic
460C2×M16×C47C2311yescharacteristic
461C22×C8×C47C2311yescharacteristic
462#127×C47—21no—
463#127×C47C2311yescharacteristic
464#124×C47C2311yescharacteristic
465#123×C47—21no—
466C22⋊Q8×C47C2311yescharacteristic
467#121×C47—21no—
468#121×C47—21no—
469#121×C47—21no—
470#121×C47C2311yescharacteristic
471#121×C47C2311yescharacteristic
472#121×C47C2311yescharacteristic
473#120×C47—21no—
474C4×Q8×C47C2311yescharacteristic
475C4×D4×C47—21no—
476C4×D4×C47C2311yescharacteristic
477C4×D4×C47C2311yescharacteristic
478C2×C22⋊C4×C47—21no—
479#107×C47C2311yescharacteristic
480C4⋊C8×C47C2311yescharacteristic
481#103×C47C2311yescharacteristic
482#103×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486#102×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489#97×C47C2311yescharacteristic
490C24×C47—21no—
491C23×D47—21no—
492C23×D47—21no—
493C23×D47C2×D411yescharacteristic
494C23×D47C2×D411yescharacteristic
495#41×C47—22no—
496#41×C47—22no—
497#41×C47—41no—
498#41×C47—41no—
499#41×C47—41no—
500#41×C47—41no—
501C2×Q8×C47C2411yescharacteristic
502C2×Q8×C47C2411yescharacteristic
503C2×D4×C47—21no—
504C2×D4×C47—21no—
505C2×D4×C47—21no—
506C2×D4×C47—21no—
507C2×D4×C47—21no—
508C2×D4×C47—21no—
509C2×D4×C47—21no—
510C2×D4×C47—21no—
511C2×D4×C47—21no—
512C2×D4×C47—41no—
513C2×D4×C47—41no—
514C2×D4×C47C2×D411yescharacteristic
515C2×D4×C47C2411yescharacteristic
516C2×D4×C47C2411yescharacteristic
517C2×D4×C47C2411yescharacteristic
518C2×D4×C47C2411yescharacteristic
519C22×C4×C47—21no—
520C22×C4×C47—21no—
521C22×C4×C47—21no—
522C22×C4×C47—21no—
523C22×C4×C47C2411yescharacteristic
524C22×C4×C47C2411yescharacteristic
525C2×C22⋊D47—21no—
526C2×C22⋊D47—21no—
527C2×C22⋊D47—21no—
528C2×C22⋊D47—21no—
529C2×C22⋊D47—21no—
530C2×C22⋊D47—21no—
531C2×C22⋊D47—21no—
532C2×C22⋊D47—21no—
533C2×C22⋊D47—21no—
534C2×C22⋊D47—21no—
535C2×C22⋊D47—21no—
536C2×C22⋊D47—21no—
537C2×C22⋊D47—21no—
538C2×C22⋊D47—21no—
539C2×C22⋊D47—44no—
540C2×C22⋊D47C2×D411yescharacteristic
541C2×C22⋊D47C2×D411yescharacteristic
542C22×Dic47—21no—
543C22×Dic47—21no—
544C22×Dic47—21no—
545C22×Dic47—21no—
546C22×Dic47—21no—
547C22×Dic47C2×D411yescharacteristic
548C22×Dic47C2×D411yescharacteristic
549#10625354—22no—
550#10625354—22no—
551Q8×D47—22no—
552Q8×D47—22no—
553Q8×D47—41no—
554Q8×D47—41no—
555Q8×D47—41no—
556Q8×D47—41no—
557#10625352—41no—
558#10625352—41no—
559#10625352—41no—
560#10625352—41no—
561#10625352—41no—
562#10625352—41no—
563#10625352—44no—
564#10625352—44no—
565D4×D47—22no—
566D4×D47—22no—
567D4×D47—41no—
568D4×D47—41no—
569D4×D47—42no—
570D4×D47—44no—
571D4×D47—44no—
572D4×D47—44no—
573#10625350—22no—
574#10625350—22no—
575#10625350—41no—
576#10625350—41no—
577#10625350—44no—
578#10625350—44no—
579C2×D188—21no—
580C2×D188C2×D411yescharacteristic
581C2×D188C2411yescharacteristic
582C2×C4×D47—21no—
583C2×C4×D47—21no—
584C2×C4×D47—21no—
585C2×C4×D47—21no—
586C2×C4×D47—21no—
587C2×C4×D47—21no—
588C2×C4×D47—21no—
589C2×C4×D47—21no—
590C2×C4×D47—21no—
591C2×C4×D47—41no—
592C2×C4×D47—41no—
593C2×C4×D47—41no—
594C2×C4×D47—41no—
595C2×C4×D47—44no—
596C2×C4×D47—44no—
597C2×C4×D47C2×D411yescharacteristic
598C2×C4×D47C2×D411yescharacteristic
599C2×C4×D47C2×D411yescharacteristic
600C2×C4×D47C2×D411yescharacteristic
601C2×C4×D47C2×D411yescharacteristic
602C2×C4×D47C2×D411yescharacteristic
603C2×C4×D47C2411yescharacteristic
604C2×C4×D47C2411yescharacteristic
605C2×C4×D47C2411yescharacteristic
606C2×Dic94—21no—
607C2×Dic94—21no—
608C2×Dic94—21no—
609C2×Dic94C2411yescharacteristic
610C2×Dic94C2411yescharacteristic
611C2×Dic94C2411yescharacteristic
612Q16×C47—22no—
613SD16×C47—22no—
614SD16×C47—22no—
615SD16×C47—41no—
616SD16×C47—41no—
617D8×C47—41no—
618D8×C47—41no—
619D8×C47—41no—
620D8×C47—41no—
621M16×C47—41no—
622C2×C8×C47—41no—
623C2×C8×C47C2411yescharacteristic
624C2×C8×C47C2411yescharacteristic
625C2×C8×C47C2411yescharacteristic
626C2×C8×C47C2411yescharacteristic
627C4⋊C4×C47—21no—
628C4⋊C4×C47—21no—
629C4⋊C4×C47C2×D411yescharacteristic
630C4⋊C4×C47C2411yescharacteristic
631C4⋊C4×C47C2411yescharacteristic
632C22⋊C4×C47—21no—
633C22⋊C4×C47—21no—
634C22⋊C4×C47—21no—
635C22⋊C4×C47—21no—
636C22⋊C4×C47—21no—
637C22⋊C4×C47—21no—
638C22⋊C4×C47—21no—
639C22⋊C4×C47C2×D411yescharacteristic
640C22⋊C4×C47C2×D411yescharacteristic
641C42×C47—21no—
642C42×C47C2411yescharacteristic
643C22⋊Dic47—21no—
644C22⋊Dic47—21no—
645C22⋊Dic47—21no—
646C22⋊Dic47—21no—
647C22⋊Dic47—21no—
648C22⋊Dic47—21no—
649C22⋊Dic47—21no—
650C22⋊Dic47—21no—
651C22⋊Dic47—21no—
652C22⋊Dic47—21no—
653C22⋊Dic47—21no—
654C22⋊Dic47—21no—
655C22⋊Dic47—21no—
656C22⋊Dic47—21no—
657C22⋊Dic47—21no—
658C22⋊Dic47—21no—
659C22⋊Dic47—21no—
660C22⋊Dic47—21no—
661C22⋊Dic47—21no—
662C22⋊Dic47C2×D411yescharacteristic
663C22⋊Dic47C2×D411yescharacteristic
664#10625337—22no—
665#10625337—41no—
666#10625337—41no—
667#10625336—22no—
668#10625335—41no—
669#10625335—41no—
670#10625335—41no—
671#10625335—41no—
672#10625335—41no—
673#10625335—41no—
674#10625334—22no—
675#10625334—22no—
676(C2×D47)⋊C4—21no—
677(C2×D47)⋊C4—21no—
678(C2×D47)⋊C4—21no—
679(C2×D47)⋊C4—21no—
680(C2×D47)⋊C4—21no—
681(C2×D47)⋊C4—21no—
682(C2×D47)⋊C4—21no—
683(C2×D47)⋊C4—21no—
684(C2×D47)⋊C4—21no—
685(C2×D47)⋊C4C2×D411yescharacteristic
686(C2×D47)⋊C4C2×D411yescharacteristic
687(C2×D47)⋊C4C2×D411yescharacteristic
688(C2×D47)⋊C4C2×D411yescharacteristic
689C4⋊Dic47—21no—
690C4⋊Dic47—21no—
691C4⋊Dic47—21no—
692C4⋊Dic47—21no—
693C4⋊Dic47—21no—
694C4⋊Dic47—21no—
695C4⋊Dic47—21no—
696C4⋊Dic47—21no—
697C4⋊Dic47—21no—
698C4⋊Dic47C2×D411yescharacteristic
699C4⋊Dic47C2411yescharacteristic
700C4⋊Dic47C2411yescharacteristic
701C4⋊Dic47C2411yescharacteristic
702C4⋊Dic47C2411yescharacteristic
703Dic47⋊C4—21no—
704Dic47⋊C4—21no—
705Dic47⋊C4—21no—
706Dic47⋊C4—21no—
707Dic47⋊C4—21no—
708Dic47⋊C4—21no—
709Dic47⋊C4—21no—
710Dic47⋊C4—21no—
711Dic47⋊C4—21no—
712Dic47⋊C4—21no—
713Dic47⋊C4—21no—
714Dic47⋊C4C2×D411yescharacteristic
715Dic47⋊C4C2×D411yescharacteristic
716C4×Dic47—21no—
717C4×Dic47—21no—
718C4×Dic47—21no—
719C4×Dic47—21no—
720C4×Dic47—21no—
721C4×Dic47—21no—
722C4×Dic47C2×D411yescharacteristic
723C4×Dic47C2×D411yescharacteristic
724C4×Dic47C2411yescharacteristic
725#10625329—41no—
726C2×C47⋊C8—41no—
727C2×C47⋊C8C2411yescharacteristic
728C2×C47⋊C8C2411yescharacteristic
729C2×C47⋊C8C2411yescharacteristic
730C2×C47⋊C8C2411yescharacteristic
731Dic188—41no—
732Dic188—41no—
733#10625325—22no—
734#10625324—41no—
735#10625324—41no—
736C8×D47—41no—
737C8×D47—41no—
738C23×C47—21no—
739C23×C47—21no—
740C23×C47—21no—
741C23×C47—21no—
742C23×C47—42no—
743C23×C47—81no—
744C23×C47—81no—
745C23×C47C22×D411yescharacteristic
746C23×C47C22×D411yescharacteristic
747C22×D47—21no—
748C22×D47—22no—
749C22×D47—41no—
750C22×D47—41no—
751C22×D47—41no—
752C22×D47—41no—
753C22×D47—41no—
754C22×D47—42no—
755C22×D47—42no—
756C22×D47—42no—
757C22×D47—42no—
758C22×D47—81no—
759C22×D47—81no—
760C22×D47C22×D411yescharacteristic
761C22×D47C22×D411yescharacteristic
762C22×D47C22×D411yescharacteristic
763Q8×C47—21no—
764Q8×C47—21no—
765Q8×C47—21no—
766Q8×C47H(5,𝔽2)12yes—
767D4×C47—21no—
768D4×C47—21no—
769D4×C47—21no—
770D4×C47—21no—
771D4×C47—21no—
772D4×C47—21no—
773D4×C47—21no—
774D4×C47—21no—
775D4×C47—41no—
776D4×C47—42no—
777D4×C47—42no—
778D4×C47—42no—
779D4×C47—81no—
780D4×C47—81no—
781D4×C47—81no—
782D4×C47—81no—
783D4×C47—81no—
784D4×C47—81no—
785C2×C4×C47—21no—
786C2×C4×C47—21no—
787C2×C4×C47—21no—
788C2×C4×C47—21no—
789C2×C4×C47—21no—
790C2×C4×C47—21no—
791C2×C4×C47—21no—
792C2×C4×C47—21no—
793C2×C4×C47—42no—
794C2×C4×C47—42no—
795C2×C4×C47—81no—
796C2×C4×C47—81no—
797C2×C4×C47C22×D411yescharacteristic
798C2×C4×C47C22×D411yescharacteristic
799C2×C4×C47C22×D411yescharacteristic
800C2×C4×C47C22×D411yescharacteristic
801C2×C4×C47C2511yescharacteristic
802C22⋊D47—22no—
803C22⋊D47—41no—
804C22⋊D47—42no—
805C22⋊D47—42no—
806C22⋊D47—42no—
807C22⋊D47—42no—
808C22⋊D47—42no—
809C22⋊D47—42no—
810C22⋊D47—42no—
811C22⋊D47—42no—
812C22⋊D47—42no—
813C22⋊D47—42no—
814C22⋊D47—42no—
815C22⋊D47—42no—
816C22⋊D47—81no—
817C22⋊D47—81no—
818C2×Dic47—21no—
819C2×Dic47—21no—
820C2×Dic47—21no—
821C2×Dic47—21no—
822C2×Dic47—21no—
823C2×Dic47—21no—
824C2×Dic47—21no—
825C2×Dic47—41no—
826C2×Dic47—41no—
827C2×Dic47—42no—
828C2×Dic47—42no—
829C2×Dic47—42no—
830C2×Dic47—81no—
831C2×Dic47—81no—
832C2×Dic47C22×D411yescharacteristic
833C2×Dic47C22×D411yescharacteristic
834C2×Dic47C22×D411yescharacteristic
835C2×Dic47C22×D411yescharacteristic
836C2×Dic47C22×D411yescharacteristic
837D188—24no—
838D188—22no—
839D188—21no—
840D188H(5,𝔽2)12yes—
841C4×D47—24no—
842C4×D47—21no—
843C4×D47—21no—
844C4×D47—21no—
845C4×D47—21no—
846C4×D47—21no—
847C4×D47—21no—
848C4×D47—41no—
849C4×D47—41no—
850C4×D47—41no—
851C4×D47—41no—
852C4×D47—41no—
853C4×D47—41no—
854C4×D47—42no—
855C4×D47—42no—
856C4×D47—42no—
857C4×D47—42no—
858C4×D47—42no—
859C4×D47—81no—
860C4×D47—81no—
861C4×D47—81no—
862Dic94—21no—
863Dic94—21no—
864Dic94—21no—
865Dic94—21no—
866Dic94—21no—
867Dic94—21no—
868Dic94—42no—
869Dic94—42no—
870Dic94—81no—
871C8×C47—21no—
872C8×C47—21no—
873C8×C47—21no—
874C8×C47—21no—
875C47⋊C8—21no—
876C47⋊C8—21no—
877C47⋊C8—21no—
878C47⋊C8—21no—
879#61606—471nomaximal, Sylow
880C22×C47—21no—
881C22×C47—21no—
882C22×C47—21no—
883C22×C47—21no—
884C22×C47—21no—
885C22×C47—21no—
886C22×C47—41no—
887C22×C47—41no—
888C22×C47—41no—
889C22×C47—41no—
890C22×C47—41no—
891C22×C47—41no—
892C22×C47—41no—
893C22×C47—41no—
894C22×C47—41no—
895C22×C47—41no—
896C22×C47—41no—
897C22×C47—41no—
898C22×C47—162no—
899C22×C47C23×D411yescharacteristic
900C2×D47—21no—
901C2×D47—21no—
902C2×D47—21no—
903C2×D47—21no—
904C2×D47—21no—
905C2×D47—21no—
906C2×D47—22no—
907C2×D47—21no—
908C2×D47—21no—
909C2×D47—41no—
910C2×D47—41no—
911C2×D47—82no—
912C2×D47—84no—
913C2×D47—82no—
914C2×D47—84no—
915C2×D47#57512yes—
916C4×C47—21no—
917C4×C47—22no—
918C4×C47—21no—
919C4×C47—21no—
920C4×C47—21no—
921C4×C47—41no—
922C4×C47—41no—
923C4×C47—41no—
924C4×C47C2×H(5,𝔽2)11yescharacteristic
925C4×C47C2×H(5,𝔽2)11yescharacteristic
926Dic47—21no—
927Dic47—21no—
928Dic47—21no—
929Dic47—21no—
930Dic47—21no—
931Dic47—41no—
932Dic47—41no—
933Dic47—41no—
934Dic47—41no—
935Dic47—41no—
936Dic47—41no—
937Dic47—41no—
938#3505—471no—
939D4×#41—471no—
940#3327—471no—
941#3323—471no—
942#3320—471no—
943#3318—471no—
944#3317—471no—
945#3315—471no—
946#3301—471no—
947#3297—471no—
948#3285—471no—
949#3282—471no—
950#3275—471no—
951#3273—471no—
952#3270—471no—
953#3268D4711yescharacteristic, complemented
954#3267—471no—
955#3265—471no—
956#3219—471no—
957#3212—471no—
958#3197—471no—
959#3196—471no—
960#3191—471no—
961#3188—471no—
962#3111—471no—
963#3102—471no—
964#3006—471no—
965#3005—471no—
966#3002—471no—
967C2×#452—471no—
968#2974—471no—
969C2×C47—41no—
970C2×C47—41no—
971C2×C47—81no—
972C2×C47—81no—
973C2×C47—81no—
974C2×C47—81no—
975C2×C47#348411yescharacteristic
976C2×C47C2×#57511yescharacteristic
977C2×C47#358411yescharacteristic
978D47—22no—
979D47—41no—
980D47—41no—
981D47—42no—
982C22×#41—471no—
983C22×#41—471no—
984C2×#137—471no—
985C2×AGL(1,ℤ/8)—471no—
986C2×AGL(1,ℤ/8)—471no—
987C2×AGL(1,ℤ/8)C2×D4711yescharacteristic, complemented
988C2×#135—471no—
989C2×#135C2×D4711yescharacteristic, complemented
990C22×Q16—471no—
991C22×SD16—471no—
992#553—471no—
993#553—471no—
994#553—941no—
995#553—941no—
996#552—471no—
997#552—471no—
998#551—941no—
999#551—941no—
1000#550C2×D4711yescharacteristic
1001D4×Q8—471no—
1002#548—471no—
1003#548—471no—
1004#548—471no—
1005#548—471no—
1006#547—471no—
1007#547—941no—
1008#546—471no—
1009#546—471no—
1010#546—471no—
1011#546—941no—
1012#546—941no—
1013#546C2×D4711yescharacteristic, complemented
1014D42—471no—
1015D42—941no—
1016#539—941no—
1017#538—941no—
1018#534—941no—
1019#532—471no—
1020#532—941no—
1021#529—471no—
1022#529—471no—
1023#525—471no—
1024#525—471no—
1025#525—471no—
1026#525—471no—
1027#525—941no—
1028#525—941no—
1029C2×C22⋊Q8—471no—
1030C2×#121—471no—
1031#518—941no—
1032C4×#41—471no—
1033C2×C4×D4—471no—
1034C2×C4×D4—941no—
1035#497—471no—
1036#496C2×D4711yescharacteristic, complemented
1037#495—471no—
1038#495—471no—
1039#491—471no—
1040#490—471no—
1041#488—471no—
1042#488—471no—
1043#485—471no—
1044#485—471no—
1045#485—471no—
1046#485—471no—
1047#484—471no—
1048#484—471no—
1049#482—471no—
1050#482—471no—
1051#482—471no—
1052#482—471no—
1053#481—471no—
1054#481—471no—
1055#479—471no—
1056#479—471no—
1057#478—471no—
1058#478—471no—
1059#470—471no—
1060#470—471no—
1061#470—471no—
1062#469—471no—
1063#468—471no—
1064#468—471no—
1065#468—471no—
1066#468C2×D4711yescharacteristic, complemented
1067#467—471no—
1068#466—471no—
1069#466—471no—
1070#466C2×D4711yescharacteristic, complemented
1071#465—471no—
1072#465—471no—
1073#465—471no—
1074#465—471no—
1075#464—471no—
1076#464—471no—
1077#464—471no—
1078#464C2×D4711yescharacteristic, complemented
1079#463—471no—
1080#463—471no—
1081#463—471no—
1082#463—471no—
1083#462—471no—
1084#461—471no—
1085#460—471no—
1086#459C2×D4711yescharacteristic, complemented
1087#452—471no—
1088#452—471no—
1089#452—471no—
1090#452—471no—
1091#452—471no—
1092#452—471no—
1093#452—471no—
1094#452—471no—
1095#452—471no—
1096#452—471no—
1097#452—471no—
1098#452—471no—
1099#452—471no—
1100#452C2×D4711yescharacteristic, complemented
1101#451—471no—
1102#451—471no—
1103#450—471no—
1104#450—471no—
1105#449—471no—
1106#449—471no—
1107#449—471no—
1108#449—471no—
1109#449—471no—
1110#449—471no—
1111#449—471no—
1112#449—471no—
1113#449C2×D4711yescharacteristic, complemented
1114#449C2×D4711yescharacteristic, complemented
1115#448—471no—
1116#448—471no—
1117#448—471no—
1118#448—471no—
1119#447—471no—
1120#447—471no—
1121#447—471no—
1122#447C2×D4711yescharacteristic, complemented
1123#442—471no—
1124#441—471no—
1125#440—471no—
1126#440C2×D4711yescharacteristic, complemented
1127C4×Q16—471no—
1128C4×SD16—471no—
1129C4×SD16—471no—
1130C4×D8—471no—
1131#436—471no—
1132#436—471no—
1133#435—471no—
1134#435—471no—
1135#435—471no—
1136#435C2×D4711yescharacteristic, complemented
1137C8×D4—471no—
1138C8×D4—471no—
1139#432—471no—
1140#431—471no—
1141#419—471no—
1142#418—471no—
1143#417—471no—
1144#417—471no—
1145#416—471no—
1146#416—471no—
1147C2×#103—471no—
1148C2×#102—471no—
1149#407—471no—
1150#407—471no—
1151C2×C22⋊C8—471no—
1152C2×C22⋊C8—471no—
1153C47#6160611yescharacteristic, complemented, Sylow
1154C2×#41—471no—
1155C2×#41—471no—
1156C2×#41—471no—
1157C2×#41—471no—
1158C2×#41—471no—
1159C2×#41—471no—
1160C2×#41—941no—
1161C2×#41—941no—
1162C2×#41—941no—
1163C2×#41—941no—
1164C2×#41—1882no—
1165C2×#41—1882no—
1166C2×#41—1882no—
1167C2×#41—1882no—
1168C2×#41C22×D4711yescharacteristic
1169C2×#41C22×D4711yescharacteristic
1170C2×#41C22×D4711yescharacteristic
1171C22×Q8—471no—
1172C22×Q8—471no—
1173C22×Q8—471no—
1174C22×D4—471no—
1175C22×D4—471no—
1176C22×D4—471no—
1177C22×D4—941no—
1178C22×D4—941no—
1179C22×D4—941no—
1180C22×D4—941no—
1181C22×D4C22×D4711yescharacteristic
1182C23×C4—471no—
1183C23×C4—471no—
1184C23×C4—941no—
1185C23×C4—941no—
1186#137—1882no—
1187AGL(1,ℤ/8)—42no—
1188AGL(1,ℤ/8)—1882no—
1189AGL(1,ℤ/8)—1882no—
1190#135—42no—
1191#135—1882no—
1192C2×Q16—471no—
1193C2×Q16—471no—
1194C2×Q16—471no—
1195C2×Q16—471no—
1196C2×Q16—471no—
1197C2×Q16—1882no—
1198C2×Q16C22×D4711yescharacteristic
1199C2×SD16—471no—
1200C2×SD16—471no—
1201C2×SD16—471no—
1202C2×SD16—471no—
1203C2×SD16—471no—
1204C2×SD16—471no—
1205C2×SD16—471no—
1206C2×SD16—471no—
1207C2×SD16—1882no—
1208C2×SD16C22×D4711yescharacteristic
1209C2×SD16C22×D4711yescharacteristic
1210C2×SD16C22×D4711yescharacteristic
1211C2×SD16C22×D4711yescharacteristic
1212C2×D8—471no—
1213C2×D8—471no—
1214C2×D8C22×D4711yescharacteristic
1215C2×D8C22×D4711yescharacteristic
1216C2×D8C22×D4711yescharacteristic
1217C2×D8C22×D4711yescharacteristic
1218C2×M16—471no—
1219C2×M16—471no—
1220C2×M16—471no—
1221C2×M16C22×D4711yescharacteristic
1222C22×C8—471no—
1223C22×C8—471no—
1224C22×C8—471no—
1225C22×C8C22×D4711yescharacteristic
1226C4⋊Q8—471no—
1227C4⋊Q8—941no—
1228#127—21no—
1229#127C22×D4711yescharacteristic
1230#126—941no—
1231#126—941no—
1232#126—941no—
1233#126—941no—
1234#126—941no—
1235#126—941no—
1236#125—471no—
1237#125—471no—
1238#125—941no—
1239#125—941no—
1240#124—471no—
1241#124—471no—
1242#124—471no—
1243#124—941no—
1244#124—941no—
1245#124—941no—
1246#124—941no—
1247#124C22×D4711yescharacteristic
1248#123—21no—
1249#123—941no—
1250#123—941no—
1251#123—941no—
1252#123—941no—
1253#123—941no—
1254#123—941no—
1255#123—941no—
1256#123—941no—
1257#123—941no—
1258#123—941no—
1259#123—941no—
1260#123—941no—
1261#123—941no—
1262#123—941no—
1263#123—941no—
1264C22⋊Q8—471no—
1265C22⋊Q8—471no—
1266C22⋊Q8—471no—
1267C22⋊Q8—471no—
1268C22⋊Q8—471no—
1269C22⋊Q8—471no—
1270C22⋊Q8—471no—
1271C22⋊Q8—471no—
1272C22⋊Q8—471no—
1273C22⋊Q8—941no—
1274C22⋊Q8—941no—
1275C22⋊Q8—941no—
1276C22⋊Q8—941no—
1277C22⋊Q8—941no—
1278C22⋊Q8—941no—
1279C22⋊Q8—941no—
1280C22⋊Q8—941no—
1281C22⋊Q8C22×D4711yescharacteristic
1282#121—21no—
1283#121—21no—
1284#121—21no—
1285#121—471no—
1286#121—471no—
1287#121—471no—
1288#121—471no—
1289#121—471no—
1290#121—471no—
1291#121—471no—
1292#121—941no—
1293#121—941no—
1294#121—941no—
1295#121—941no—
1296#121—941no—
1297#121—941no—
1298#121—941no—
1299#121—941no—
1300#121—941no—
1301#121—941no—
1302#121—941no—
1303#121—941no—
1304#121—941no—
1305#121—941no—
1306#121—941no—
1307#121C22×D4711yescharacteristic
1308#121C22×D4711yescharacteristic
1309#121C22×D4711yescharacteristic
1310#120—21no—
1311#120—941no—
1312#120—941no—
1313#120—941no—
1314#120—941no—
1315#120—941no—
1316#120—941no—
1317#120—941no—
1318#120—941no—
1319#120—941no—
1320C4×Q8—471no—
1321C4×Q8—471no—
1322C4×Q8—471no—
1323C4×Q8C22×D4711yescharacteristic
1324C4×D4—21no—
1325C4×D4—471no—
1326C4×D4—471no—
1327C4×D4—471no—
1328C4×D4—471no—
1329C4×D4—471no—
1330C4×D4—471no—
1331C4×D4—471no—
1332C4×D4—471no—
1333C4×D4—471no—
1334C4×D4—471no—
1335C4×D4—941no—
1336C4×D4—941no—
1337C4×D4—941no—
1338C4×D4—941no—
1339C4×D4—941no—
1340C4×D4—941no—
1341C4×D4—941no—
1342C4×D4—941no—
1343C4×D4—941no—
1344C4×D4—941no—
1345C4×D4—941no—
1346C4×D4—941no—
1347C4×D4—941no—
1348C4×D4—941no—
1349C4×D4—941no—
1350C4×D4—941no—
1351C4×D4—941no—
1352C4×D4—941no—
1353C4×D4—941no—
1354C4×D4—941no—
1355C4×D4—941no—
1356C4×D4C22×D4711yescharacteristic
1357C4×D4C22×D4711yescharacteristic
1358#117—471no—
1359#117—471no—
1360#117—471no—
1361#117—941no—
1362#117—941no—
1363#117—941no—
1364#117—941no—
1365#117—941no—
1366C2×C4⋊C4—471no—
1367C2×C4⋊C4—471no—
1368C2×C4⋊C4—471no—
1369C2×C4⋊C4—941no—
1370C2×C4⋊C4—941no—
1371C2×C22⋊C4—21no—
1372C2×C22⋊C4—471no—
1373C2×C22⋊C4—471no—
1374C2×C22⋊C4—941no—
1375C2×C22⋊C4—941no—
1376C2×C22⋊C4—941no—
1377C2×C22⋊C4—941no—
1378C2×C22⋊C4—941no—
1379C2×C42—471no—
1380C2×C42—941no—
1381#107—471no—
1382#107—471no—
1383#107—471no—
1384#107C22×D4711yescharacteristic
1385#106—471no—
1386#106—471no—
1387#106—471no—
1388#106—471no—
1389C4⋊C8—471no—
1390C4⋊C8—471no—
1391C4⋊C8—471no—
1392C4⋊C8C22×D4711yescharacteristic
1393#103—471no—
1394#103—471no—
1395#103—471no—
1396#103—471no—
1397#103—471no—
1398#103—471no—
1399#103—471no—
1400#103—471no—
1401#103—471no—
1402#103—471no—
1403#103—471no—
1404#103—471no—
1405#103—471no—
1406#103—471no—
1407#103C22×D4711yescharacteristic
1408#103C22×D4711yescharacteristic
1409#102—471no—
1410#102—471no—
1411#102—471no—
1412#102—471no—
1413#102—471no—
1414#102—471no—
1415#102—471no—
1416#102—471no—
1417#102—471no—
1418#102—471no—
1419#102—471no—
1420#102—471no—
1421#102C22×D4711yescharacteristic
1422#102C22×D4711yescharacteristic
1423#102C22×D4711yescharacteristic
1424#102C22×D4711yescharacteristic
1425C22⋊C8—471no—
1426C22⋊C8—471no—
1427C22⋊C8—471no—
1428C22⋊C8—471no—
1429C22⋊C8—471no—
1430C22⋊C8—471no—
1431C22⋊C8—471no—
1432C22⋊C8—471no—
1433C22⋊C8—471no—
1434C22⋊C8—471no—
1435C22⋊C8C22×D4711yescharacteristic
1436C22⋊C8C22×D4711yescharacteristic
1437#97—471no—
1438#97C22×D4711yescharacteristic
1439C4×C8—471no—
1440C4×C8—471no—
1441C24—21no—
1442C24—471no—
1443C24—471no—
1444C24—941no—
1445C24—941no—
1446#41—22no—
1447#41—22no—
1448#41—41no—
1449#41—41no—
1450#41—41no—
1451#41—41no—
1452#41—942no—
1453#41—942no—
1454#41—942no—
1455#41—942no—
1456#41—1881no—
1457#41—1881no—
1458#41—1884no—
1459#41—1884no—
1460#41—1881no—
1461#41—1881no—
1462#41—1881no—
1463#41—1881no—
1464#41—1881no—
1465#41—1881no—
1466#41—1884no—
1467#41—1884no—
1468C2×Q8—471no—
1469C2×Q8—471no—
1470C2×Q8—471no—
1471C2×Q8—941no—
1472C2×Q8—941no—
1473C2×Q8—941no—
1474C2×Q8—942no—
1475C2×Q8—942no—
1476C2×Q8—1881no—
1477C2×Q8—1881no—
1478C2×Q8—1881no—
1479C2×Q8—1881no—
1480C2×Q8C23×D4711yescharacteristic
1481C2×Q8C23×D4711yescharacteristic
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—41no—
1492C2×D4—41no—
1493C2×D4—471no—
1494C2×D4—471no—
1495C2×D4—471no—
1496C2×D4—471no—
1497C2×D4—941no—
1498C2×D4—941no—
1499C2×D4—941no—
1500C2×D4—942no—
1501C2×D4—942no—
1502C2×D4—941no—
1503C2×D4—941no—
1504C2×D4—941no—
1505C2×D4—941no—
1506C2×D4—941no—
1507C2×D4—941no—
1508C2×D4—941no—
1509C2×D4—941no—
1510C2×D4—941no—
1511C2×D4—941no—
1512C2×D4—941no—
1513C2×D4—941no—
1514C2×D4—1881no—
1515C2×D4—1881no—
1516C2×D4—1882no—
1517C2×D4—1884no—
1518C2×D4—1884no—
1519C2×D4—1884no—
1520C2×D4—1884no—
1521C2×D4D4×D4711yescharacteristic
1522C2×D4C23×D4711yescharacteristic
1523C2×D4C23×D4711yescharacteristic
1524C2×D4C23×D4711yescharacteristic
1525C2×D4C23×D4711yescharacteristic
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—471no—
1531C22×C4—471no—
1532C22×C4—471no—
1533C22×C4—471no—
1534C22×C4—471no—
1535C22×C4—471no—
1536C22×C4—471no—
1537C22×C4—471no—
1538C22×C4—471no—
1539C22×C4—471no—
1540C22×C4—471no—
1541C22×C4—941no—
1542C22×C4—941no—
1543C22×C4—941no—
1544C22×C4—941no—
1545C22×C4—941no—
1546C22×C4—941no—
1547C22×C4—941no—
1548C22×C4—941no—
1549C22×C4—941no—
1550C22×C4—941no—
1551C22×C4—941no—
1552C22×C4—941no—
1553C22×C4—941no—
1554C22×C4—941no—
1555C22×C4—1881no—
1556C22×C4—1881no—
1557C22×C4—1881no—
1558C22×C4—1881no—
1559C22×C4—1884no—
1560C22×C4—1884no—
1561C22×C4C23×D4711yescharacteristic
1562C22×C4C23×D4711yescharacteristic
1563Q16—22no—
1564Q16—942no—
1565Q16—1881no—
1566Q16—1881no—
1567Q16—1881no—
1568Q16—1881no—
1569SD16—22no—
1570SD16—22no—
1571SD16—41no—
1572SD16—41no—
1573SD16—942no—
1574SD16—942no—
1575SD16—1881no—
1576SD16—1881no—
1577SD16—1881no—
1578SD16—1881no—
1579SD16—1881no—
1580SD16—1881no—
1581D8—41no—
1582D8—41no—
1583D8—41no—
1584D8—41no—
1585D8—942no—
1586D8—942no—
1587M16—41no—
1588M16—1881no—
1589M16—1881no—
1590M16—1881no—
1591C2×C8—41no—
1592C2×C8—471no—
1593C2×C8—471no—
1594C2×C8—471no—
1595C2×C8—471no—
1596C2×C8—1881no—
1597C2×C8—1881no—
1598C2×C8—1881no—
1599C2×C8C23×D4711yescharacteristic
1600C2×C8C23×D4711yescharacteristic
1601C2×C8C23×D4711yescharacteristic
1602C2×C8C23×D4711yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—471no—
1606C4⋊C4—471no—
1607C4⋊C4—471no—
1608C4⋊C4—471no—
1609C4⋊C4—471no—
1610C4⋊C4—471no—
1611C4⋊C4—471no—
1612C4⋊C4—941no—
1613C4⋊C4—941no—
1614C4⋊C4—941no—
1615C4⋊C4—941no—
1616C4⋊C4—941no—
1617C4⋊C4—941no—
1618C4⋊C4—941no—
1619C4⋊C4—941no—
1620C4⋊C4—941no—
1621C4⋊C4—941no—
1622C4⋊C4—941no—
1623C4⋊C4—941no—
1624C4⋊C4—941no—
1625C4⋊C4—941no—
1626C4⋊C4—941no—
1627C4⋊C4—941no—
1628C4⋊C4—941no—
1629C4⋊C4—941no—
1630C4⋊C4—941no—
1631C4⋊C4—941no—
1632C4⋊C4D4×D4711yescharacteristic
1633C4⋊C4C23×D4711yescharacteristic
1634C4⋊C4C23×D4711yescharacteristic
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—471no—
1643C22⋊C4—471no—
1644C22⋊C4—471no—
1645C22⋊C4—471no—
1646C22⋊C4—471no—
1647C22⋊C4—471no—
1648C22⋊C4—941no—
1649C22⋊C4—941no—
1650C22⋊C4—941no—
1651C22⋊C4—941no—
1652C22⋊C4—941no—
1653C22⋊C4—941no—
1654C22⋊C4—941no—
1655C22⋊C4—941no—
1656C22⋊C4—941no—
1657C22⋊C4—941no—
1658C22⋊C4—941no—
1659C22⋊C4—941no—
1660C22⋊C4—941no—
1661C22⋊C4—941no—
1662C22⋊C4—941no—
1663C22⋊C4—941no—
1664C22⋊C4—941no—
1665C22⋊C4—941no—
1666C22⋊C4—941no—
1667C22⋊C4—941no—
1668C22⋊C4—941no—
1669C22⋊C4—941no—
1670C22⋊C4—941no—
1671C22⋊C4—941no—
1672C22⋊C4—941no—
1673C22⋊C4—941no—
1674C22⋊C4—941no—
1675C22⋊C4—941no—
1676C22⋊C4D4×D4711yescharacteristic
1677C22⋊C4D4×D4711yescharacteristic
1678C42—21no—
1679C42—471no—
1680C42—471no—
1681C42—471no—
1682C42—941no—
1683C42—941no—
1684C42—941no—
1685C42—941no—
1686C42—941no—
1687C42—941no—
1688C42C23×D4711yescharacteristic
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—42no—
1694C23—81no—
1695C23—81no—
1696C23—471no—
1697C23—471no—
1698C23—471no—
1699C23—942no—
1700C23—941no—
1701C23—3761no—
1702C23—3761no—
1703C23—1881no—
1704C23—1881no—
1705C23—1881no—
1706C23—1881no—
1707C23—1881no—
1708C23—1882no—
1709C23—1882no—
1710C23—1882no—
1711C23—1882no—
1712C23C2×D4×D4711yescharacteristic
1713C23C2×D4×D4711yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—941no—
1718Q8—941no—
1719Q8—941no—
1720Q8—941no—
1721Q8—941no—
1722Q8—941no—
1723Q8—3761no—
1724Q8—1882no—
1725Q8—1882no—
1726Q8#1309406912yes—
1727D4—21no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—41no—
1736D4—42no—
1737D4—42no—
1738D4—42no—
1739D4—81no—
1740D4—81no—
1741D4—81no—
1742D4—81no—
1743D4—81no—
1744D4—81no—
1745D4—472no—
1746D4—942no—
1747D4—944no—
1748D4—942no—
1749D4—941no—
1750D4—3761no—
1751D4—3761no—
1752D4—1881no—
1753D4—1882no—
1754D4—1882no—
1755D4—1882no—
1756D4—1882no—
1757D4—1882no—
1758D4—1882no—
1759D4—1882no—
1760D4—1882no—
1761D4—1882no—
1762D4—1882no—
1763D4—1882no—
1764D4—1882no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—42no—
1774C2×C4—42no—
1775C2×C4—81no—
1776C2×C4—81no—
1777C2×C4—471no—
1778C2×C4—471no—
1779C2×C4—471no—
1780C2×C4—471no—
1781C2×C4—471no—
1782C2×C4—944no—
1783C2×C4—941no—
1784C2×C4—941no—
1785C2×C4—941no—
1786C2×C4—941no—
1787C2×C4—941no—
1788C2×C4—941no—
1789C2×C4—941no—
1790C2×C4—941no—
1791C2×C4—941no—
1792C2×C4—941no—
1793C2×C4—941no—
1794C2×C4—941no—
1795C2×C4—941no—
1796C2×C4—3761no—
1797C2×C4—3761no—
1798C2×C4—3761no—
1799C2×C4—3761no—
1800C2×C4—3761no—
1801C2×C4—1881no—
1802C2×C4—1881no—
1803C2×C4—1881no—
1804C2×C4—1881no—
1805C2×C4—1881no—
1806C2×C4—1881no—
1807C2×C4—1882no—
1808C2×C4—1882no—
1809C2×C4—1882no—
1810C2×C4—1882no—
1811C2×C4—1882no—
1812C2×C4—1881no—
1813C2×C4—1881no—
1814C2×C4—1882no—
1815C2×C4—1882no—
1816C2×C4—1882no—
1817C2×C4C2×D4×D4711yescharacteristic
1818C2×C4C2×D4×D4711yescharacteristic
1819C2×C4C2×D4×D4711yescharacteristic
1820C2×C4C2×D4×D4711yescharacteristic
1821C2×C4C24×D4711yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—941no—
1827C8—941no—
1828C8—941no—
1829C8—941no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—162no—
1849C22—472no—
1850C22—941no—
1851C22—941no—
1852C22—941no—
1853C22—941no—
1854C22—941no—
1855C22—941no—
1856C22—941no—
1857C22—942no—
1858C22—941no—
1859C22—3762no—
1860C22—3762no—
1861C22—3764no—
1862C22—3764no—
1863C22—1881no—
1864C22—1881no—
1865C22C22×D4×D4711yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—22no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—941no—
1875C4—941no—
1876C4—941no—
1877C4—941no—
1878C4—941no—
1879C4—1881no—
1880C4—1881no—
1881C4—1881no—
1882C4—1881no—
1883C4—1881no—
1884C4—1881no—
1885C4—1881no—
1886C4H(5,𝔽2)×D4711yescharacteristic
1887C4C2×#1309406911yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—81no—
1891C2—81no—
1892C2—81no—
1893C2—81no—
1894C2—942no—
1895C2—1881no—
1896C2—1881no—
1897C2—1882no—
1898C2#2025701611yescharacteristic
1899C2#575×D4711yescharacteristic
1900C2#2025815611yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3268C2
socleC22×C47C23×D4
hypercenter#3268D47
hypocenterC47#61606
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3268

Complements

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

NH ≅ G/Ntype
1. #20257215C2semidirect
2. #20256878C2semidirect
3. #20255649C2semidirect
4. #20255599C2semidirect
5. #20255564C2semidirect
6. #20255536C2semidirect
7. #20255514C2semidirect
8. #20255486C2semidirect
9. #20255283C2semidirect
10. #20255233C2semidirect
11. #20255123C2semidirect
12. #20255098C2semidirect
13. #20255019C2semidirect
14. #20254999C2semidirect
15. #20254953C2semidirect
16. #20254909C2semidirect
17. #20254882C2semidirect
18. #20254420C2semidirect
19. #20254362C2semidirect
20. #20254227C2semidirect
21. #20254213C2semidirect
22. #20254175C2semidirect
23. #20254150C2semidirect
24. #20253495C2semidirect
25. #20253405C2semidirect
26. #20252636C2semidirect
27. #20252626C2semidirect
28. #20252602C2semidirect
29. #452×D47C2semidirect
30. #20252418C2semidirect
31. C47×#3268C2semidirect
33. C2×#41×D47C22semidirect
34. C2×#13094053C22semidirect
35. C2×#13094050C22semidirect
36. C2×#13094048C22semidirect
37. C2×#13094044C22semidirect
38. C2×Q16×D47C22semidirect
39. C2×SD16×D47C22semidirect
42. #15689820C22semidirect
44. #15689815C22semidirect
45. #15689813C22semidirect
48. Q8×D188C22semidirect
51. #15689780C22semidirect
52. #15689780C22semidirect
58. #15689770C22semidirect
59. #15689767C22semidirect
61. #15689758C22semidirect
66. #15689671C22semidirect
67. #15689655C22semidirect
68. #15689652C22semidirect
72. #15689633C22semidirect
73. #15689633C22semidirect
74. #15689630C22semidirect
75. C22⋊Q8×D47C22semidirect
76. C2×#13093995C22semidirect
78. C4×#10625354C22semidirect
81. #15689518C22semidirect
82. #15689506C22semidirect
83. #15689506C22semidirect
84. #15689492C22semidirect
85. #15689487C22semidirect
86. #15689476C22semidirect
87. #15689476C22semidirect
88. #15689466C22semidirect
89. #15689466C22semidirect
90. #15689465C22semidirect
91. #15689462C22semidirect
92. #15689460C22semidirect
93. #15689459C22semidirect
94. #15689445C22semidirect
95. #15689445C22semidirect
96. #15689445C22semidirect
97. #15689444C22semidirect
98. #15689440C22semidirect
99. #15689439C22semidirect
100. #15689432C22semidirect
101. #15689430C22semidirect
102. #15689426C22semidirect
103. #15689424C22semidirect
104. #15689381C22semidirect
105. #15689380C22semidirect
106. #15689379C22semidirect
107. #15689373C22semidirect
108. #15689368C22semidirect
109. #15689367C22semidirect
110. #15689366C22semidirect
111. #15689364C22semidirect
112. #15689356C22semidirect
113. #15689356C22semidirect
114. #15689351C22semidirect
115. #15689351C22semidirect
116. #15689350C22semidirect
117. #15689350C22semidirect
118. #15689343C22semidirect
119. #15689343C22semidirect
120. #15689343C22semidirect
121. #15689337C22semidirect
122. #15689336C22semidirect
123. #15689336C22semidirect
124. #15689335C22semidirect
125. #15689334C22semidirect
126. #15689328C22semidirect
127. #15689320C22semidirect
128. #15689288C22semidirect
129. #15689287C22semidirect
130. #15689287C22semidirect
131. #15689286C22semidirect
132. #15689286C22semidirect
133. #15689286C22semidirect
134. #15689285C22semidirect
135. #15689285C22semidirect
136. #15689285C22semidirect
137. #15689284C22semidirect
138. #15689283C22semidirect
139. #15689282C22semidirect
140. #15689282C22semidirect
141. #15689280C22semidirect
142. #15689277C22semidirect
143. #15689274C22semidirect
144. #15689272C22semidirect
147. #15689266C22semidirect
148. #15689265C22semidirect
149. #15689265C22semidirect
150. #15689265C22semidirect
151. #15689265C22semidirect
152. #15689265C22semidirect
153. #15689260C22semidirect
154. #15689260C22semidirect
155. #15689260C22semidirect
156. #15689260C22semidirect
157. #15689255C22semidirect
158. #15689255C22semidirect
159. #15689255C22semidirect
160. #15689233C22semidirect
161. #15689228C22semidirect
162. #15689225C22semidirect
163. Q16×Dic47C22semidirect
164. SD16×Dic47C22semidirect
165. #15689208C22semidirect
166. #15689203C22semidirect
167. #15689199C22semidirect
168. #15689198C22semidirect
169. #15689196C22semidirect
170. #15689195C22semidirect
171. #15689193C22semidirect
172. C8×C22⋊D47C22semidirect
173. (C22⋊D47)⋊C8C22semidirect
174. #15689178C22semidirect
175. #15689175C22semidirect
176. #15689130C22semidirect
177. #15689126C22semidirect
178. #15689125C22semidirect
179. #15689124C22semidirect
180. #15689120C22semidirect
181. #15689119C22semidirect
182. #103×D47C22semidirect
183. #102×D47C22semidirect
184. #15689086C22semidirect
185. #15689085C22semidirect
186. C2×(C2×D47)⋊C8C22semidirect
187. C22⋊C8×D47C22semidirect
188. C2×AGL(1,ℤ/8)×C47C22semidirect
189. C2×#135×C47C22semidirect
191. C47×#546C22semidirect
192. C47×#496C22semidirect
193. C47×#468C22semidirect
194. C47×#466C22semidirect
195. C47×#464C22semidirect
196. C47×#459C22semidirect
197. C47×#452C22semidirect
198. C47×#449C22semidirect
199. C47×#449C22semidirect
200. C47×#447C22semidirect
201. C47×#440C22semidirect
202. C47×#435C22semidirect
953. #3268D47semidirect
987. C2×AGL(1,ℤ/8)C2×D47semidirect
989. C2×#135C2×D47semidirect
1013. #546C2×D47semidirect
1036. #496C2×D47semidirect
1066. #468C2×D47semidirect
1070. #466C2×D47semidirect
1078. #464C2×D47semidirect
1086. #459C2×D47semidirect
1100. #452C2×D47semidirect
1113. #449C2×D47semidirect
1114. #449C2×D47semidirect
1122. #447C2×D47semidirect
1126. #440C2×D47semidirect
1136. #435C2×D47semidirect
1153. C47#61606semidirect

Maximal subgroups

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

subgroupindex
#202572152
#202568782
#202556492
#202555992
#202555642
#202555362
#202555142
#202554862
#202552832
#202552332
#202551232
#202550982
#202550192
#202549992
#202549532
#202549092
#202548822
#202544202
#202543622
#202542272
#202542132
#202541752
#202541502
#202534952
#202534052
#202526362
#202526262
#202526022
#452×D472
#202524182
C47×#32682
#6160647