Finite Group Databasebeta

← #27101753

Subgroups — #27101753

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#20256872C211yesmaximal, characteristic, complemented
3#20255658C211yesmaximal, characteristic, complemented
4#20255604C211yesmaximal, characteristic, complemented
5#20255554C211yesmaximal, characteristic, complemented
6#20255522C211yesmaximal, characteristic, complemented
7#20255509C211yesmaximal, characteristic, complemented
8#20255477C211yesmaximal, characteristic, complemented
9#20255297C211yesmaximal, characteristic, complemented
10#20255243C211yesmaximal, characteristic, complemented
11#20255128C211yesmaximal, characteristic, complemented
12#20255101C211yesmaximal, characteristic, complemented
13#20255015C211yesmaximal, characteristic, complemented
14#20254956C211yesmaximal, characteristic, complemented
15#20254926C211yesmaximal, characteristic, complemented
16#20254907C211yesmaximal, characteristic, complemented
17#20254877C211yesmaximal, characteristic, complemented
18#20254424C211yesmaximal, characteristic, complemented
19#20254359C211yesmaximal, characteristic, complemented
20#20254226C211yesmaximal, characteristic, complemented
21#20254213C211yesmaximal, characteristic, complemented
22#20254180C211yesmaximal, characteristic, complemented
23#20254150C211yesmaximal, characteristic, complemented
24#20253494C211yesmaximal, characteristic, complemented
25#20253402C211yesmaximal, characteristic, complemented
26#20252636C211yesmaximal, characteristic, complemented
27#20252627C211yesmaximal, characteristic, complemented
28#20252601C211yesmaximal, characteristic, complemented
29#452×D47C211yesmaximal, characteristic, complemented
30#20252420C211yesmaximal, characteristic, complemented
31C47×#3273C211yesmaximal, characteristic, complemented
32C22×#10625352C2211yescharacteristic, complemented
33C2×#41×D47C2211yescharacteristic
34C2×#13094054C2211yescharacteristic, complemented
35C2×#13094050C2211yescharacteristic, complemented
36C2×#13094043C2211yescharacteristic, complemented
37C2×#13094043C2211yescharacteristic, complemented
38C2×Q16×D47C2211yescharacteristic, complemented
39C2×SD16×D47C2211yescharacteristic, complemented
40#15689823C2211yescharacteristic, complemented
41#15689820—21no—
42#15689820C2211yescharacteristic
43#15689818—21no—
44#15689815C2211yescharacteristic, complemented
45#15689813C2211yescharacteristic, complemented
46#15689804—21no—
47#15689799—21no—
48#15689791C2211yescharacteristic
49#15689786C2211yescharacteristic, complemented
50#15689782C2211yescharacteristic
51#15689781C2211yescharacteristic, complemented
52#15689781C2211yescharacteristic, complemented
53#15689780C2211yescharacteristic
54#15689772C2211yescharacteristic
55#15689771—21no—
56#15689768C2211yescharacteristic, complemented
57#15689767C2211yescharacteristic, complemented
58#15689763—21no—
59#15689762—21no—
60D4×C22⋊D47C2211yescharacteristic, complemented
61#15689755—21no—
62#15689716—21no—
63#15689705—21no—
64#15689683—21no—
65#15689672C2211yescharacteristic, complemented
66#15689668—21no—
67#15689655C2211yescharacteristic, complemented
68#15689652C2211yescharacteristic, complemented
69#15689636C2211yescharacteristic, complemented
70#15689633C2211yescharacteristic
71#15689633C2211yescharacteristic, complemented
72#15689631—21no—
73#15689630C2211yescharacteristic, complemented
74#15689629—21no—
75C22⋊Q8×D47C2211yescharacteristic, complemented
76C2×#13093995C2211yescharacteristic, complemented
77#15689596—21no—
78C4×#10625352C2211yescharacteristic, complemented
79C2×(C22⋊D47)⋊C4—21no—
80C4×D4×D47C2211yescharacteristic
81#15689514C2211yescharacteristic, complemented
82#15689511C2211yescharacteristic, complemented
83#15689505C2211yescharacteristic, complemented
84#15689490C2211yescharacteristic, complemented
85#15689486C2211yescharacteristic, complemented
86#15689478C2211yescharacteristic, complemented
87#15689477C2211yescharacteristic, complemented
88#15689466C2211yescharacteristic, complemented
89#15689463C2211yescharacteristic, complemented
90#15689462C2211yescharacteristic, complemented
91#15689461C2211yescharacteristic, complemented
92#15689460C2211yescharacteristic, complemented
93#15689459C2211yescharacteristic, complemented
94#15689450C2211yescharacteristic, complemented
95#15689448C2211yescharacteristic, complemented
96#15689445C2211yescharacteristic, complemented
97#15689445C2211yescharacteristic, complemented
98#15689440C2211yescharacteristic, complemented
99#15689439C2211yescharacteristic, complemented
100#15689431C2211yescharacteristic, complemented
101#15689429C2211yescharacteristic, complemented
102#15689423C2211yescharacteristic, complemented
103#15689421C2211yescharacteristic, complemented
104#15689381C2211yescharacteristic, complemented
105#15689379C2211yescharacteristic, complemented
106#15689379C2211yescharacteristic, complemented
107#15689374C2211yescharacteristic, complemented
108#15689369C2211yescharacteristic, complemented
109#15689367C2211yescharacteristic, complemented
110#15689361C2211yescharacteristic, complemented
111#15689358C2211yescharacteristic, complemented
112#15689356C2211yescharacteristic, complemented
113#15689356C2211yescharacteristic, complemented
114#15689355C2211yescharacteristic, complemented
115#15689351C2211yescharacteristic, complemented
116#15689351C2211yescharacteristic, complemented
117#15689349C2211yescharacteristic, complemented
118#15689346C2211yescharacteristic, complemented
119#15689344C2211yescharacteristic, complemented
120#15689342C2211yescharacteristic, complemented
121#15689342C2211yescharacteristic, complemented
122#15689338C2211yescharacteristic, complemented
123#15689336C2211yescharacteristic, complemented
124#15689331C2211yescharacteristic, complemented
125#15689326C2211yescharacteristic, complemented
126#15689321C2211yescharacteristic, complemented
127#15689316C2211yescharacteristic, complemented
128#15689288C2211yescharacteristic, complemented
129#15689287C2211yescharacteristic, complemented
130#15689286C2211yescharacteristic, complemented
131#15689286C2211yescharacteristic, complemented
132#15689285C2211yescharacteristic, complemented
133#15689284C2211yescharacteristic, complemented
134#15689283C2211yescharacteristic, complemented
135#15689282C2211yescharacteristic, complemented
136#15689282C2211yescharacteristic, complemented
137#15689282C2211yescharacteristic, complemented
138#15689282C2211yescharacteristic, complemented
139#15689282C2211yescharacteristic, complemented
140#15689281C2211yescharacteristic, complemented
141#15689280C2211yescharacteristic, complemented
142#15689274C2211yescharacteristic, complemented
143#15689274C2211yescharacteristic, complemented
144#15689269C2211yescharacteristic, complemented
145#15689268C2211yescharacteristic, complemented
146#15689267C2211yescharacteristic, complemented
147#15689267C2211yescharacteristic, complemented
148#15689265C2211yescharacteristic
149#15689265C2211yescharacteristic
150#15689265C2211yescharacteristic, complemented
151#15689265C2211yescharacteristic, complemented
152#15689265C2211yescharacteristic, complemented
153#15689265C2211yescharacteristic, complemented
154#15689261C2211yescharacteristic, complemented
155#15689260C2211yescharacteristic, complemented
156#15689260C2211yescharacteristic, complemented
157#15689260C2211yescharacteristic, complemented
158#15689255C2211yescharacteristic, complemented
159#15689255C2211yescharacteristic, complemented
160#15689235C2211yescharacteristic, complemented
161#15689227C2211yescharacteristic, complemented
162#15689224C2211yescharacteristic, complemented
163#15689220C2211yescharacteristic, complemented
164C4×Dic188C2211yescharacteristic, complemented
165C4×#10625335C2211yescharacteristic, complemented
166C4×#10625335C2211yescharacteristic, complemented
167#15689201C2211yescharacteristic, complemented
168#15689197C2211yescharacteristic, complemented
169#15689197C2211yescharacteristic, complemented
170#15689192C2211yescharacteristic, complemented
171#15689192C2211yescharacteristic, complemented
172C8×D188C2211yescharacteristic, complemented
173#15689188C2211yescharacteristic, complemented
174#15689179C2211yescharacteristic, complemented
175#15689174C2211yescharacteristic, complemented
176#15689133C2211yescharacteristic, complemented
177#15689128C2211yescharacteristic, complemented
178#15689125C2211yescharacteristic, complemented
179#15689124C2211yescharacteristic, complemented
180#15689116C2211yescharacteristic, complemented
181#15689116C2211yescharacteristic, complemented
182#103×D47C2211yescharacteristic, complemented
183#102×D47C2211yescharacteristic, complemented
184#15689086C2211yescharacteristic, complemented
185#15689086C2211yescharacteristic, complemented
186C22⋊C8×D47C2211yescharacteristic, complemented
187C22⋊C8×D47C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
189C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
190C47×#546C2211yescharacteristic
191C47×#546C2211yescharacteristic, complemented
192C47×#495C2211yescharacteristic, complemented
193C47×#468C2211yescharacteristic, complemented
194C47×#468C2211yescharacteristic, complemented
195C47×#463C2211yescharacteristic, complemented
196C47×#463C2211yescharacteristic, complemented
197C47×#452C2211yescharacteristic, complemented
198C47×#452C2211yescharacteristic, complemented
199C47×#447C2211yescharacteristic, complemented
200C47×#447C2211yescharacteristic, complemented
201C4×D8×C47C2211yescharacteristic, complemented
202C47×#436C2211yescharacteristic, complemented
203C2×#10625354C2311yescharacteristic
204C2×#10625350—21no—
205C2×#10625350C2311yescharacteristic
206C2×#10625352—21no—
207C2×#10625352—21no—
208C2×#10625352—21no—
209C2×#10625352—42no—
210C2×#10625352—42no—
211C2×#10625352C2311yescharacteristic
212C2×#10625352C2311yescharacteristic
213C2×#10625352C2311yescharacteristic
214C2×#10625352C2311yescharacteristic
215C2×#10625352C2311yescharacteristic
216#41×D47—42no—
217#41×D47—42no—
218C22×Dic94C2311yescharacteristic
219C2×Q8×D47C2311yescharacteristic
220C2×Q8×D47C2311yescharacteristic
221C22×C22⋊D47—21no—
222C22×C22⋊D47—21no—
223C22×C22⋊D47—21no—
224C2×D4×D47—21no—
225C2×D4×D47D411yescharacteristic
226C2×D4×D47C2311yescharacteristic
227C23×Dic47—21no—
228C22×C4×D47—21no—
229C22×C4×D47C2311yescharacteristic
230C22×C4×D47C2311yescharacteristic
231#13094054—42no—
232#13094050—42no—
233#13094043—42no—
234#13094043—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×#10625329C2311yescharacteristic
254C2×C8×D47C2311yescharacteristic
255C2×C8×D47C2311yescharacteristic
256C2×C8×D47C2311yescharacteristic
257C2×C8×D47C2311yescharacteristic
258#13094023—21no—
259#13094022C2311yescharacteristic
260#13094020—21no—
261#13094020C2311yescharacteristic
262#13094019—21no—
263#13094017—21no—
264#13094017—21no—
265#13094017—21no—
266#13094017—21no—
267#13094017—21no—
268#13094016C2311yescharacteristic
269#13094015—21no—
270#13094015C2311yescharacteristic
271#13094014—21no—
272#13094012C2311yescharacteristic
273#13094011—21no—
274#13094011C2311yescharacteristic
275#13094010—21no—
276#13094010—21no—
277#13094010—21no—
278#13094009—21no—
279#13094008—21no—
280#13094008—21no—
281#13094007—21no—
282#13094007—21no—
283#13094006—21no—
284#13094006—21no—
285#13094006—21no—
286#13094006—21no—
287#13094005—21no—
288#13094005—21no—
289#13094005—21no—
290#13094005—21no—
291#13094005—21no—
292#13094004C2311yescharacteristic
293#13094004C2311yescharacteristic
294#13094003—21no—
295#13094003C2311yescharacteristic
296#13094003C2311yescharacteristic
297#13094003C2311yescharacteristic
298#13094002—21no—
299#13094002—21no—
300#13094002—21no—
301#13094001—21no—
302#13094001—21no—
303#13094001—21no—
304#13094001—21no—
305#13094000C2311yescharacteristic
306#13094000C2311yescharacteristic
307#13094000C2311yescharacteristic
308#13093999C2311yescharacteristic
309#13093998—21no—
310#13093998C2311yescharacteristic
311#13093997—21no—
312#13093997—21no—
313#13093997—21no—
314#13093997—21no—
315#13093997—21no—
316#13093997—21no—
317#13093996—21no—
318#13093996—21no—
319#13093996—21no—
320#13093996—21no—
321#13093996—21no—
322#13093995—21no—
323#13093995—21no—
324#13093995—21no—
325#13093995—21no—
326#13093995C2311yescharacteristic
327#13093995C2311yescharacteristic
328#13093995C2311yescharacteristic
329#13093995C2311yescharacteristic
330#13093995C2311yescharacteristic
331#13093995C2311yescharacteristic
332#13093994—21no—
333#13093994—21no—
334#13093993—21no—
335#13093993—21no—
336#13093992—21no—
337#13093992—21no—
338#13093992—21no—
339#13093992—21no—
340Q8×Dic47C2311yescharacteristic
341C4×Dic94C2311yescharacteristic
342C4×Dic94C2311yescharacteristic
343#13093989C2311yescharacteristic
344C4×D188C2311yescharacteristic
345D4×Dic47—21no—
346D4×Dic47—21no—
347D4×Dic47D411yescharacteristic
348D4×Dic47C2311yescharacteristic
349D4×Dic47C2311yescharacteristic
350#13093986—21no—
351#13093986D411yescharacteristic
352C4×C22⋊D47—21no—
353C4×C22⋊D47—21no—
354C4×C22⋊D47—21no—
355C4×C22⋊D47—21no—
356C4×C22⋊D47—21no—
357C4×C22⋊D47—21no—
358C4×C22⋊D47C2311yescharacteristic
359C4×C22⋊D47C2311yescharacteristic
360(C22⋊D47)⋊C4—21no—
361(C22⋊D47)⋊C4—21no—
362(C22⋊D47)⋊C4—21no—
363(C22⋊D47)⋊C4—21no—
364(C22⋊D47)⋊C4—21no—
365(C22⋊D47)⋊C4—21no—
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)⋊C4—21no—
373(C22⋊D47)⋊C4D411yescharacteristic
374(C22⋊D47)⋊C4D411yescharacteristic
375#13093983—21no—
376#13093983C2311yescharacteristic
377#13093982C2311yescharacteristic
378#13093982C2311yescharacteristic
379#13093980—21no—
380#13093980—21no—
381#13093980—21no—
382#13093980—21no—
383C2×C4⋊Dic47C2311yescharacteristic
384C2×Dic47⋊C4—21no—
385C4⋊C4×D47—21no—
386C4⋊C4×D47D411yescharacteristic
387C4⋊C4×D47C2311yescharacteristic
388C2×C22⋊Dic47—21no—
389C2×C22⋊Dic47—21no—
390C2×(C2×D47)⋊C4—21no—
391C22⋊C4×D47—21no—
392C22⋊C4×D47D411yescharacteristic
393C22⋊C4×D47D411yescharacteristic
394C2×C4×Dic47—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#13093934C2311yescharacteristic
443#13093934C2311yescharacteristic
444C4×C47⋊C8C2311yescharacteristic
445C2×#41×C47C2311yescharacteristic
446C2×#41×C47C2311yescharacteristic
447C22×D4×C47C2311yescharacteristic
448C22×D4×C47C2311yescharacteristic
449AGL(1,ℤ/8)×C47—42no—
450AGL(1,ℤ/8)×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
461C2×M16×C47C2311yescharacteristic
462#124×C47C2311yescharacteristic
463#124×C47C2311yescharacteristic
464#123×C47—21no—
465#123×C47—21no—
466C22⋊Q8×C47C2311yescharacteristic
467C22⋊Q8×C47C2311yescharacteristic
468#121×C47—21no—
469#121×C47—21no—
470#121×C47C2311yescharacteristic
471#121×C47C2311yescharacteristic
472#120×C47—21no—
473#120×C47—21no—
474C4×D4×C47C2311yescharacteristic
475C4×D4×C47C2311yescharacteristic
476C4×D4×C47C2311yescharacteristic
477C2×C22⋊C4×C47—21no—
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
489C4×C8×C47C2311yescharacteristic
490C24×C47—21no—
491C24×C47—21no—
492C23×D47—21no—
493C23×D47C2×D411yescharacteristic
494C23×D47C2×D411yescharacteristic
495#41×C47—22no—
496#41×C47—41no—
497#41×C47—41no—
498#41×C47—41no—
499C2×Q8×C47C2411yescharacteristic
500C2×Q8×C47C2411yescharacteristic
501C2×D4×C47—22no—
502C2×D4×C47—21no—
503C2×D4×C47—21no—
504C2×D4×C47—21no—
505C2×D4×C47—21no—
506C2×D4×C47—21no—
507C2×D4×C47—21no—
508C2×D4×C47—41no—
509C2×D4×C47—41no—
510C2×D4×C47—41no—
511C2×D4×C47C2×D411yescharacteristic
512C2×D4×C47C2411yescharacteristic
513C2×D4×C47C2411yescharacteristic
514C2×D4×C47C2411yescharacteristic
515C2×D4×C47C2411yescharacteristic
516C22×C4×C47—21no—
517C22×C4×C47—21no—
518C22×C4×C47—21no—
519C22×C4×C47—21no—
520C22×C4×C47C2411yescharacteristic
521C22×C4×C47C2411yescharacteristic
522C2×C22⋊D47—21no—
523C2×C22⋊D47—21no—
524C2×C22⋊D47—21no—
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—44no—
539C2×C22⋊D47—44no—
540C2×C22⋊D47—44no—
541C2×C22⋊D47C2×D411yescharacteristic
542C2×C22⋊D47C2×D411yescharacteristic
543C22×Dic47—21no—
544C22×Dic47—21no—
545C22×Dic47—21no—
546C22×Dic47—21no—
547C22×Dic47—21no—
548C22×Dic47—21no—
549C22×Dic47—21no—
550C22×Dic47—21no—
551C22×Dic47—21no—
552C22×Dic47—44no—
553C22×Dic47C2×D411yescharacteristic
554C22×Dic47C2×D411yescharacteristic
555#10625354—41no—
556#10625354—41no—
557Q8×D47—22no—
558Q8×D47—41no—
559Q8×D47—41no—
560Q8×D47—41no—
561#10625352—22no—
562#10625352—22no—
563#10625352—22no—
564#10625352—22no—
565#10625352—41no—
566#10625352—41no—
567#10625352—41no—
568#10625352—41no—
569#10625352—41no—
570#10625352—41no—
571#10625352—44no—
572#10625352—44no—
573#10625352—44no—
574D4×D47—22no—
575D4×D47—41no—
576D4×D47—42no—
577D4×D47—44no—
578#10625350—22no—
579#10625350—41no—
580#10625350—44no—
581C2×D188—21no—
582C2×D188—21no—
583C2×D188C2×D411yescharacteristic
584C2×D188C2411yescharacteristic
585C2×C4×D47—21no—
586C2×C4×D47—21no—
587C2×C4×D47—21no—
588C2×C4×D47—21no—
589C2×C4×D47—21no—
590C2×C4×D47—41no—
591C2×C4×D47—41no—
592C2×C4×D47—41no—
593C2×C4×D47—41no—
594C2×C4×D47—44no—
595C2×C4×D47C2×D411yescharacteristic
596C2×C4×D47C2×D411yescharacteristic
597C2×C4×D47C2×D411yescharacteristic
598C2×C4×D47C2×D411yescharacteristic
599C2×C4×D47C2×D411yescharacteristic
600C2×C4×D47C2×D411yescharacteristic
601C2×C4×D47C2411yescharacteristic
602C2×C4×D47C2411yescharacteristic
603C2×C4×D47C2411yescharacteristic
604C2×Dic94—22no—
605C2×Dic94—21no—
606C2×Dic94—21no—
607C2×Dic94—21no—
608C2×Dic94—41no—
609C2×Dic94C2411yescharacteristic
610C2×Dic94C2411yescharacteristic
611C2×Dic94C2411yescharacteristic
612Q16×C47—41no—
613SD16×C47—22no—
614SD16×C47—41no—
615SD16×C47—41no—
616SD16×C47—41no—
617D8×C47—22no—
618D8×C47—22no—
619D8×C47—41no—
620D8×C47—41no—
621M16×C47—41no—
622M16×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×C47—21no—
640C22⋊C4×C47—21no—
641C22⋊C4×C47—21no—
642C22⋊C4×C47C2×D411yescharacteristic
643C22⋊C4×C47C2×D411yescharacteristic
644C42×C47C2411yescharacteristic
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⋊Dic47C2×D411yescharacteristic
660C22⋊Dic47C2×D411yescharacteristic
661#10625337—22no—
662#10625337—41no—
663#10625337—41no—
664#10625336—41no—
665#10625335—22no—
666#10625335—22no—
667#10625335—22no—
668#10625335—41no—
669#10625335—41no—
670#10625335—41no—
671#10625334—41no—
672#10625334—41no—
673(C2×D47)⋊C4—21no—
674(C2×D47)⋊C4—21no—
675(C2×D47)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
685(C2×D47)⋊C4C2×D411yescharacteristic
686(C2×D47)⋊C4C2×D411yescharacteristic
687(C2×D47)⋊C4C2×D411yescharacteristic
688C4⋊Dic47—21no—
689C4⋊Dic47—21no—
690C4⋊Dic47—21no—
691C4⋊Dic47—21no—
692C4⋊Dic47—21no—
693C4⋊Dic47C2×D411yescharacteristic
694C4⋊Dic47C2411yescharacteristic
695C4⋊Dic47C2411yescharacteristic
696C4⋊Dic47C2411yescharacteristic
697C4⋊Dic47C2411yescharacteristic
698Dic47⋊C4—21no—
699Dic47⋊C4—21no—
700Dic47⋊C4—21no—
701Dic47⋊C4—21no—
702Dic47⋊C4—21no—
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⋊C4C2×D411yescharacteristic
714Dic47⋊C4C2×D411yescharacteristic
715C4×Dic47—21no—
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—
726#10625329—41no—
727C2×C47⋊C8C2411yescharacteristic
728C2×C47⋊C8C2411yescharacteristic
729C2×C47⋊C8C2411yescharacteristic
730C2×C47⋊C8C2411yescharacteristic
731Dic188—22no—
732Dic188—41no—
733#10625325—41no—
734C8×D47—41no—
735C8×D47—41no—
736C8×D47—41no—
737C8×D47—41no—
738C23×C47—21no—
739C23×C47—21no—
740C23×C47—21no—
741C23×C47—21no—
742C23×C47—42no—
743C23×C47—42no—
744C23×C47—42no—
745C23×C47—81no—
746C23×C47—81no—
747C23×C47—81no—
748C23×C47C22×D411yescharacteristic
749C23×C47C22×D411yescharacteristic
750C22×D47—22no—
751C22×D47—21no—
752C22×D47—41no—
753C22×D47—41no—
754C22×D47—41no—
755C22×D47—41no—
756C22×D47—41no—
757C22×D47—42no—
758C22×D47—42no—
759C22×D47—81no—
760C22×D47C22×D411yescharacteristic
761C22×D47C22×D411yescharacteristic
762C22×D47C22×D411yescharacteristic
763Q8×C47—21no—
764Q8×C47—21no—
765Q8×C47—21no—
766Q8×C47—21no—
767D4×C47—21no—
768D4×C47—21no—
769D4×C47—21no—
770D4×C47—21no—
771D4×C47—21no—
772D4×C47—21no—
773D4×C47—21no—
774D4×C47—41no—
775D4×C47—42no—
776D4×C47—42no—
777D4×C47—81no—
778D4×C47—81no—
779D4×C47—81no—
780D4×C47—81no—
781D4×C47H(5,𝔽2)12yes—
782C2×C4×C47—21no—
783C2×C4×C47—21no—
784C2×C4×C47—21no—
785C2×C4×C47—21no—
786C2×C4×C47—21no—
787C2×C4×C47—21no—
788C2×C4×C47—21no—
789C2×C4×C47—21no—
790C2×C4×C47—42no—
791C2×C4×C47—81no—
792C2×C4×C47—81no—
793C2×C4×C47—81no—
794C2×C4×C47C22×D411yescharacteristic
795C2×C4×C47C22×D411yescharacteristic
796C2×C4×C47C22×D411yescharacteristic
797C2×C4×C47C22×D411yescharacteristic
798C2×C4×C47C2511yescharacteristic
799C22⋊D47—24no—
800C22⋊D47—22no—
801C22⋊D47—41no—
802C22⋊D47—42no—
803C22⋊D47—42no—
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—81no—
815C22⋊D47—81no—
816C22⋊D47—81no—
817C2×Dic47—24no—
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—42no—
831C2×Dic47—42no—
832C2×Dic47—42no—
833C2×Dic47—81no—
834C2×Dic47—81no—
835C2×Dic47C22×D411yescharacteristic
836C2×Dic47C22×D411yescharacteristic
837C2×Dic47C22×D411yescharacteristic
838C2×Dic47C22×D411yescharacteristic
839C2×Dic47C22×D411yescharacteristic
840D188—22no—
841D188—21no—
842D188—21no—
843D188—42no—
844D188—81no—
845C4×D47—21no—
846C4×D47—21no—
847C4×D47—21no—
848C4×D47—21no—
849C4×D47—21no—
850C4×D47—21no—
851C4×D47—41no—
852C4×D47—41no—
853C4×D47—41no—
854C4×D47—41no—
855C4×D47—41no—
856C4×D47—41no—
857C4×D47—42no—
858C4×D47—42no—
859C4×D47—42no—
860C4×D47—81no—
861C4×D47—81no—
862Dic94—21no—
863Dic94—21no—
864Dic94—21no—
865Dic94—21no—
866Dic94—21no—
867Dic94—42no—
868Dic94—42no—
869Dic94—81no—
870Dic94H(5,𝔽2)12yes—
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—22no—
883C22×C47—21no—
884C22×C47—21no—
885C22×C47—21no—
886C22×C47—21no—
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—84no—
899C22×C47—162no—
900C22×C47C23×D411yescharacteristic
901C2×D47—21no—
902C2×D47—21no—
903C2×D47—21no—
904C2×D47—21no—
905C2×D47—21no—
906C2×D47—21no—
907C2×D47—21no—
908C2×D47—21no—
909C2×D47—41no—
910C2×D47—41no—
911C2×D47—41no—
912C2×D47—82no—
913C2×D47—84no—
914C2×D47—82no—
915C2×D47#57512yes—
916C4×C47—21no—
917C4×C47—21no—
918C4×C47—21no—
919C4×C47—21no—
920C4×C47—41no—
921C4×C47—41no—
922C4×C47—41no—
923C4×C47—41no—
924C4×C47C2×H(5,𝔽2)11yescharacteristic
925C4×C47C2×H(5,𝔽2)11yescharacteristic
926Dic47—21no—
927Dic47—22no—
928Dic47—21no—
929Dic47—21no—
930Dic47—21no—
931Dic47—21no—
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#3273D4711yescharacteristic, complemented
952#3270—471no—
953#3268—471no—
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—42no—
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—81no—
982C22×#41—471no—
983C22×#41—471no—
984C2×#137—471no—
985C2×AGL(1,ℤ/8)—471no—
986C2×AGL(1,ℤ/8)C2×D4711yescharacteristic, complemented
987C2×AGL(1,ℤ/8)C2×D4711yescharacteristic, complemented
988C2×#135—471no—
989C2×#135—471no—
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#550—471no—
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—941no—
1011#546—941no—
1012#546C2×D4711yescharacteristic
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#496—471no—
1037#495—471no—
1038#495C2×D4711yescharacteristic, complemented
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#468C2×D4711yescharacteristic, complemented
1066#468C2×D4711yescharacteristic, complemented
1067#467—471no—
1068#466—471no—
1069#466—471no—
1070#466—471no—
1071#465—471no—
1072#465—471no—
1073#465—471no—
1074#465—471no—
1075#464—471no—
1076#464—471no—
1077#464—471no—
1078#464—471no—
1079#463—471no—
1080#463—471no—
1081#463C2×D4711yescharacteristic, complemented
1082#463C2×D4711yescharacteristic, complemented
1083#462—471no—
1084#461—471no—
1085#460—471no—
1086#459—471no—
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#452C2×D4711yescharacteristic, complemented
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#449—471no—
1114#449—471no—
1115#448—471no—
1116#448—471no—
1117#448—471no—
1118#448—471no—
1119#447—471no—
1120#447—471no—
1121#447C2×D4711yescharacteristic, complemented
1122#447C2×D4711yescharacteristic, complemented
1123#442—471no—
1124#441—471no—
1125#440—471no—
1126#440—471no—
1127C4×Q16—471no—
1128C4×SD16—471no—
1129C4×SD16—471no—
1130C4×D8C2×D4711yescharacteristic, complemented
1131#436—471no—
1132#436C2×D4711yescharacteristic, complemented
1133#435—471no—
1134#435—471no—
1135#435—471no—
1136#435—471no—
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—471no—
1161C2×#41—941no—
1162C2×#41—941no—
1163C2×#41—941no—
1164C2×#41—941no—
1165C2×#41—1882no—
1166C2×#41—1882no—
1167C2×#41—1882no—
1168C2×#41—1882no—
1169C2×#41C22×D4711yescharacteristic
1170C2×#41C22×D4711yescharacteristic
1171C22×Q8—471no—
1172C22×Q8—471no—
1173C22×Q8—471no—
1174C22×D4—471no—
1175C22×D4—471no—
1176C22×D4—941no—
1177C22×D4—941no—
1178C22×D4—941no—
1179C22×D4—941no—
1180C22×D4C22×D4711yescharacteristic
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)—42no—
1189AGL(1,ℤ/8)—1882no—
1190#135—1882no—
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×M16C22×D4711yescharacteristic
1221C2×M16C22×D4711yescharacteristic
1222C22×C8—471no—
1223C22×C8—471no—
1224C22×C8—471no—
1225C22×C8—471no—
1226C4⋊Q8—471no—
1227C4⋊Q8—941no—
1228#127—471no—
1229#127—941no—
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—941no—
1243#124—941no—
1244#124—941no—
1245#124—941no—
1246#124C22×D4711yescharacteristic
1247#124C22×D4711yescharacteristic
1248#123—21no—
1249#123—21no—
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—941no—
1273C22⋊Q8—941no—
1274C22⋊Q8—941no—
1275C22⋊Q8—941no—
1276C22⋊Q8—941no—
1277C22⋊Q8—941no—
1278C22⋊Q8—941no—
1279C22⋊Q8—941no—
1280C22⋊Q8C22×D4711yescharacteristic
1281C22⋊Q8C22×D4711yescharacteristic
1282#121—21no—
1283#121—21no—
1284#121—471no—
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#121—941no—
1308#121C22×D4711yescharacteristic
1309#121C22×D4711yescharacteristic
1310#120—21no—
1311#120—21no—
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×Q8—471no—
1324C4×D4—471no—
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—941no—
1334C4×D4—941no—
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×D4C22×D4711yescharacteristic
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—21no—
1373C2×C22⋊C4—471no—
1374C2×C22⋊C4—471no—
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#97—471no—
1439C4×C8—471no—
1440C4×C8C22×D4711yescharacteristic
1441C24—21no—
1442C24—21no—
1443C24—471no—
1444C24—471no—
1445C24—941no—
1446#41—22no—
1447#41—41no—
1448#41—41no—
1449#41—41no—
1450#41—942no—
1451#41—942no—
1452#41—942no—
1453#41—942no—
1454#41—942no—
1455#41—1881no—
1456#41—1884no—
1457#41—1881no—
1458#41—1881no—
1459#41—1881no—
1460#41—1881no—
1461#41—1881no—
1462#41—1881no—
1463#41—1884no—
1464#41—1884no—
1465#41—1881no—
1466#41—1881no—
1467#41—1884no—
1468C2×Q8—471no—
1469C2×Q8—471no—
1470C2×Q8—471no—
1471C2×Q8—941no—
1472C2×Q8—941no—
1473C2×Q8—942no—
1474C2×Q8—941no—
1475C2×Q8—942no—
1476C2×Q8—1881no—
1477C2×Q8—1881no—
1478C2×Q8—1881no—
1479C2×Q8—1881no—
1480C2×Q8C23×D4711yescharacteristic
1481C2×Q8C23×D4711yescharacteristic
1482C2×D4—22no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—41no—
1490C2×D4—41no—
1491C2×D4—41no—
1492C2×D4—471no—
1493C2×D4—471no—
1494C2×D4—471no—
1495C2×D4—471no—
1496C2×D4—941no—
1497C2×D4—941no—
1498C2×D4—941no—
1499C2×D4—941no—
1500C2×D4—941no—
1501C2×D4—941no—
1502C2×D4—942no—
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—941no—
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—41no—
1564Q16—942no—
1565Q16—942no—
1566Q16—1881no—
1567Q16—1881no—
1568Q16—1881no—
1569SD16—22no—
1570SD16—41no—
1571SD16—41no—
1572SD16—41no—
1573SD16—942no—
1574SD16—942no—
1575SD16—942no—
1576SD16—1881no—
1577SD16—1881no—
1578SD16—1881no—
1579SD16—1881no—
1580SD16—1881no—
1581D8—22no—
1582D8—22no—
1583D8—41no—
1584D8—41no—
1585D8—1881no—
1586D8—1881no—
1587M16—41no—
1588M16—41no—
1589M16—1881no—
1590M16—1881no—
1591C2×C8—471no—
1592C2×C8—471no—
1593C2×C8—471no—
1594C2×C8—471no—
1595C2×C8—1881no—
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—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—471no—
1646C22⋊C4—471no—
1647C22⋊C4—471no—
1648C22⋊C4—471no—
1649C22⋊C4—471no—
1650C22⋊C4—471no—
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—471no—
1679C42—471no—
1680C42—471no—
1681C42—941no—
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—42no—
1695C23—42no—
1696C23—81no—
1697C23—81no—
1698C23—81no—
1699C23—471no—
1700C23—471no—
1701C23—471no—
1702C23—942no—
1703C23—941no—
1704C23—3761no—
1705C23—1881no—
1706C23—1881no—
1707C23—1881no—
1708C23—1881no—
1709C23—1881no—
1710C23—1882no—
1711C23—1882no—
1712C23C2×D4×D4711yescharacteristic
1713C23C2×D4×D4711yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—472no—
1719Q8—941no—
1720Q8—941no—
1721Q8—941no—
1722Q8—941no—
1723Q8—941no—
1724Q8—3761no—
1725Q8—1882no—
1726Q8—1882no—
1727D4—21no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—41no—
1735D4—42no—
1736D4—42no—
1737D4—81no—
1738D4—81no—
1739D4—81no—
1740D4—81no—
1741D4—942no—
1742D4—942no—
1743D4—944no—
1744D4—941no—
1745D4—941no—
1746D4—3761no—
1747D4—3761no—
1748D4—3761no—
1749D4—3761no—
1750D4—1882no—
1751D4—1881no—
1752D4—1882no—
1753D4—1882no—
1754D4—1882no—
1755D4—1882no—
1756D4—1882no—
1757D4—1882no—
1758D4—1882no—
1759D4—1882no—
1760D4—1882no—
1761D4—1882no—
1762D4—1882no—
1763D4—1882no—
1764D4#1309406912yes—
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—81no—
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—1881no—
1801C2×C4—1881no—
1802C2×C4—1881no—
1803C2×C4—1881no—
1804C2×C4—1881no—
1805C2×C4—1881no—
1806C2×C4—1882no—
1807C2×C4—1882no—
1808C2×C4—1882no—
1809C2×C4—1881no—
1810C2×C4—1881no—
1811C2×C4—1882no—
1812C2×C4—1882no—
1813C2×C4—1882no—
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—22no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—84no—
1849C22—162no—
1850C22—472no—
1851C22—941no—
1852C22—941no—
1853C22—941no—
1854C22—941no—
1855C22—941no—
1856C22—941no—
1857C22—941no—
1858C22—941no—
1859C22—3764no—
1860C22—3762no—
1861C22—3762no—
1862C22—1881no—
1863C22—1881no—
1864C22—1881no—
1865C22C22×D4×D4711yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—941no—
1875C4—941no—
1876C4—941no—
1877C4—941no—
1878C4—941no—
1879C4—942no—
1880C4—1881no—
1881C4—1881no—
1882C4—1881no—
1883C4—1881no—
1884C4—1881no—
1885C4—1881no—
1886C4H(5,𝔽2)×D4711yescharacteristic
1887C4C2×#1309406911yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—42no—
1891C2—81no—
1892C2—81no—
1893C2—81no—
1894C2—942no—
1895C2—3761no—
1896C2—1881no—
1897C2—1881no—
1898C2#2025701611yescharacteristic
1899C2#575×D4711yescharacteristic
1900C2#2025815611yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3273C2
socleC22×C47C23×D4
hypercenter#3273D47
hypocenterC47#61606
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3273

Complements

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

NH ≅ G/Ntype
1. #20257215C2semidirect
2. #20256872C2semidirect
3. #20255658C2semidirect
4. #20255604C2semidirect
5. #20255554C2semidirect
6. #20255522C2semidirect
7. #20255509C2semidirect
8. #20255477C2semidirect
9. #20255297C2semidirect
10. #20255243C2semidirect
11. #20255128C2semidirect
12. #20255101C2semidirect
13. #20255015C2semidirect
14. #20254956C2semidirect
15. #20254926C2semidirect
16. #20254907C2semidirect
17. #20254877C2semidirect
18. #20254424C2semidirect
19. #20254359C2semidirect
20. #20254226C2semidirect
21. #20254213C2semidirect
22. #20254180C2semidirect
23. #20254150C2semidirect
24. #20253494C2semidirect
25. #20253402C2semidirect
26. #20252636C2semidirect
27. #20252627C2semidirect
28. #20252601C2semidirect
29. #452×D47C2semidirect
30. #20252420C2semidirect
31. C47×#3273C2semidirect
32. C22×#10625352C22semidirect
34. C2×#13094054C22semidirect
35. C2×#13094050C22semidirect
36. C2×#13094043C22semidirect
37. C2×#13094043C22semidirect
38. C2×Q16×D47C22semidirect
39. C2×SD16×D47C22semidirect
40. #15689823C22semidirect
44. #15689815C22semidirect
45. #15689813C22semidirect
49. #15689786C22semidirect
51. #15689781C22semidirect
52. #15689781C22semidirect
56. #15689768C22semidirect
57. #15689767C22semidirect
60. D4×C22⋊D47C22semidirect
65. #15689672C22semidirect
67. #15689655C22semidirect
68. #15689652C22semidirect
69. #15689636C22semidirect
71. #15689633C22semidirect
73. #15689630C22semidirect
75. C22⋊Q8×D47C22semidirect
76. C2×#13093995C22semidirect
78. C4×#10625352C22semidirect
81. #15689514C22semidirect
82. #15689511C22semidirect
83. #15689505C22semidirect
84. #15689490C22semidirect
85. #15689486C22semidirect
86. #15689478C22semidirect
87. #15689477C22semidirect
88. #15689466C22semidirect
89. #15689463C22semidirect
90. #15689462C22semidirect
91. #15689461C22semidirect
92. #15689460C22semidirect
93. #15689459C22semidirect
94. #15689450C22semidirect
95. #15689448C22semidirect
96. #15689445C22semidirect
97. #15689445C22semidirect
98. #15689440C22semidirect
99. #15689439C22semidirect
100. #15689431C22semidirect
101. #15689429C22semidirect
102. #15689423C22semidirect
103. #15689421C22semidirect
104. #15689381C22semidirect
105. #15689379C22semidirect
106. #15689379C22semidirect
107. #15689374C22semidirect
108. #15689369C22semidirect
109. #15689367C22semidirect
110. #15689361C22semidirect
111. #15689358C22semidirect
112. #15689356C22semidirect
113. #15689356C22semidirect
114. #15689355C22semidirect
115. #15689351C22semidirect
116. #15689351C22semidirect
117. #15689349C22semidirect
118. #15689346C22semidirect
119. #15689344C22semidirect
120. #15689342C22semidirect
121. #15689342C22semidirect
122. #15689338C22semidirect
123. #15689336C22semidirect
124. #15689331C22semidirect
125. #15689326C22semidirect
126. #15689321C22semidirect
127. #15689316C22semidirect
128. #15689288C22semidirect
129. #15689287C22semidirect
130. #15689286C22semidirect
131. #15689286C22semidirect
132. #15689285C22semidirect
133. #15689284C22semidirect
134. #15689283C22semidirect
135. #15689282C22semidirect
136. #15689282C22semidirect
137. #15689282C22semidirect
138. #15689282C22semidirect
139. #15689282C22semidirect
140. #15689281C22semidirect
141. #15689280C22semidirect
142. #15689274C22semidirect
143. #15689274C22semidirect
144. #15689269C22semidirect
145. #15689268C22semidirect
146. #15689267C22semidirect
147. #15689267C22semidirect
150. #15689265C22semidirect
151. #15689265C22semidirect
152. #15689265C22semidirect
153. #15689265C22semidirect
154. #15689261C22semidirect
155. #15689260C22semidirect
156. #15689260C22semidirect
157. #15689260C22semidirect
158. #15689255C22semidirect
159. #15689255C22semidirect
160. #15689235C22semidirect
161. #15689227C22semidirect
162. #15689224C22semidirect
163. #15689220C22semidirect
164. C4×Dic188C22semidirect
165. C4×#10625335C22semidirect
166. C4×#10625335C22semidirect
167. #15689201C22semidirect
168. #15689197C22semidirect
169. #15689197C22semidirect
170. #15689192C22semidirect
171. #15689192C22semidirect
172. C8×D188C22semidirect
173. #15689188C22semidirect
174. #15689179C22semidirect
175. #15689174C22semidirect
176. #15689133C22semidirect
177. #15689128C22semidirect
178. #15689125C22semidirect
179. #15689124C22semidirect
180. #15689116C22semidirect
181. #15689116C22semidirect
182. #103×D47C22semidirect
183. #102×D47C22semidirect
184. #15689086C22semidirect
185. #15689086C22semidirect
186. C22⋊C8×D47C22semidirect
187. C22⋊C8×D47C22semidirect
188. C2×AGL(1,ℤ/8)×C47C22semidirect
189. C2×AGL(1,ℤ/8)×C47C22semidirect
191. C47×#546C22semidirect
192. C47×#495C22semidirect
193. C47×#468C22semidirect
194. C47×#468C22semidirect
195. C47×#463C22semidirect
196. C47×#463C22semidirect
197. C47×#452C22semidirect
198. C47×#452C22semidirect
199. C47×#447C22semidirect
200. C47×#447C22semidirect
201. C4×D8×C47C22semidirect
202. C47×#436C22semidirect
951. #3273D47semidirect
986. C2×AGL(1,ℤ/8)C2×D47semidirect
987. C2×AGL(1,ℤ/8)C2×D47semidirect
1013. #546C2×D47semidirect
1038. #495C2×D47semidirect
1065. #468C2×D47semidirect
1066. #468C2×D47semidirect
1081. #463C2×D47semidirect
1082. #463C2×D47semidirect
1099. #452C2×D47semidirect
1100. #452C2×D47semidirect
1121. #447C2×D47semidirect
1122. #447C2×D47semidirect
1130. C4×D8C2×D47semidirect
1132. #436C2×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
#202568722
#202556582
#202556042
#202555542
#202555222
#202555092
#202554772
#202552972
#202552432
#202551282
#202551012
#202550152
#202549562
#202549262
#202549072
#202548772
#202544242
#202543592
#202542262
#202542132
#202541802
#202541502
#202534942
#202534022
#202526362
#202526272
#202526012
#452×D472
#202524202
C47×#32732
#6160647