Finite Group Databasebeta

← #27111763

Subgroups — #27111763

Order 12032.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257897C211yesmaximal, characteristic, complemented
2#20257404C211yesmaximal, characteristic, complemented
3#20256459C211yesmaximal, characteristic, complemented
4#20256451C211yesmaximal, characteristic, complemented
5#20256205C211yesmaximal, characteristic, complemented
6#20256199C211yesmaximal, characteristic, complemented
7#20255617C211yesmaximal, characteristic, complemented
8#20255615C211yesmaximal, characteristic, complemented
9#20255538C211yesmaximal, characteristic, complemented
10#20255452C211yesmaximal, characteristic, complemented
11#20255450C211yesmaximal, characteristic, complemented
12#20255042C211yesmaximal, characteristic, complemented
13#20255038C211yesmaximal, characteristic, complemented
14#20254903C211yesmaximal, characteristic, complemented
15#20254894C211yesmaximal, characteristic, complemented
16#20254887C211yesmaximal, characteristic, complemented
17#20254880C211yesmaximal, characteristic, complemented
18#20254845C211yesmaximal, characteristic, complemented
19#20254843C211yesmaximal, characteristic, complemented
20#20254777C211yesmaximal, characteristic, complemented
21#20254480C211yesmaximal, characteristic, complemented
22#20254478C211yesmaximal, characteristic, complemented
23#20254392C211yesmaximal, characteristic, complemented
24#20253620C211yesmaximal, characteristic, complemented
25#20253612C211yesmaximal, characteristic, complemented
26#20253535C211yesmaximal, characteristic, complemented
27#20252912C211yesmaximal, characteristic, complemented
28#20252908C211yesmaximal, characteristic, complemented
29#20252877C211yesmaximal, characteristic, complemented
30#20252554C211yesmaximal, characteristic, complemented
31C47×#3319C211yesmaximal, characteristic, complemented
32C2×#13094057C2211yescharacteristic, complemented
33C2×#13094054C2211yescharacteristic, complemented
34C2×#13094053C2211yescharacteristic, complemented
35C2×#13094048C2211yescharacteristic
36C22×#10625325C2211yescharacteristic, complemented
37C22×#10625335C2211yescharacteristic, complemented
38#15689870—21no—
39#15689866—21no—
40#15689856C2211yescharacteristic
41#15689855C2211yescharacteristic
42#15689853C2211yescharacteristic, complemented
43#15689843C2211yescharacteristic, complemented
44#15689842—21no—
45#15689842—21no—
46#15689841—21no—
47#15689841C2211yescharacteristic, complemented
48#15689841C2211yescharacteristic, complemented
49#15689837—21no—
50D4×Dic94C2211yescharacteristic, complemented
51#15689783C2211yescharacteristic
52#15689780C2211yescharacteristic
53#15689779C2211yescharacteristic, complemented
54#15689779C2211yescharacteristic, complemented
55#15689770—21no—
56#15689769C2211yescharacteristic
57#15689763—21no—
58#15689757C2211yescharacteristic
59D4×C22⋊D47C2211yescharacteristic
60#15689746C2211yescharacteristic
61#15689740C2211yescharacteristic
62#15689740C2211yescharacteristic, complemented
63#15689740C2211yescharacteristic, complemented
64#15689737—21no—
65#15689737—21no—
66#15689711—21no—
67#15689709—21no—
68#15689705—21no—
69#15689690C2211yescharacteristic
70#15689687C2211yescharacteristic
71#15689683—21no—
72#15689678C2211yescharacteristic, complemented
73#15689676—21no—
74#15689670C2211yescharacteristic
75#15689655C2211yescharacteristic
76#15689654—21no—
77#124×D47C2211yescharacteristic
78#15689600C2211yescharacteristic, complemented
79#15689600C2211yescharacteristic, complemented
80C4×#10625352C2211yescharacteristic, complemented
81#15689518C2211yescharacteristic, complemented
82#15689517C2211yescharacteristic, complemented
83#15689511C2211yescharacteristic
84#15689511C2211yescharacteristic
85#15689506C2211yescharacteristic, complemented
86#15689504C2211yescharacteristic, complemented
87#15689485C2211yescharacteristic, complemented
88#15689484C2211yescharacteristic, complemented
89#15689481C2211yescharacteristic, complemented
90#15689468C2211yescharacteristic
91#15689468C2211yescharacteristic
92#15689464C2211yescharacteristic, complemented
93#15689449C2211yescharacteristic, complemented
94#15689447C2211yescharacteristic
95#15689445C2211yescharacteristic, complemented
96#15689417C2211yescharacteristic, complemented
97#15689417C2211yescharacteristic, complemented
98#15689417C2211yescharacteristic, complemented
99#15689416C2211yescharacteristic, complemented
100#15689407C2211yescharacteristic, complemented
101#15689402C2211yescharacteristic, complemented
102#15689401C2211yescharacteristic, complemented
103#15689401C2211yescharacteristic, complemented
104#15689400C2211yescharacteristic, complemented
105#15689370C2211yescharacteristic, complemented
106#15689370C2211yescharacteristic, complemented
107#15689369C2211yescharacteristic
108#15689368C2211yescharacteristic, complemented
109#15689368C2211yescharacteristic, complemented
110#15689367C2211yescharacteristic
111#15689367C2211yescharacteristic, complemented
112#15689364C2211yescharacteristic, complemented
113#15689362C2211yescharacteristic, complemented
114#15689357C2211yescharacteristic
115#15689348C2211yescharacteristic, complemented
116#15689348C2211yescharacteristic, complemented
117#15689348C2211yescharacteristic, complemented
118#15689348C2211yescharacteristic, complemented
119#15689348C2211yescharacteristic, complemented
120#15689346C2211yescharacteristic, complemented
121#15689344C2211yescharacteristic, complemented
122#15689344C2211yescharacteristic, complemented
123#15689344C2211yescharacteristic, complemented
124#15689344C2211yescharacteristic, complemented
125#15689344C2211yescharacteristic, complemented
126#15689344C2211yescharacteristic, complemented
127#15689343C2211yescharacteristic, complemented
128#15689342C2211yescharacteristic, complemented
129#15689340C2211yescharacteristic, complemented
130#15689338C2211yescharacteristic, complemented
131#15689337C2211yescharacteristic, complemented
132#15689336C2211yescharacteristic, complemented
133#15689336C2211yescharacteristic, complemented
134#15689329C2211yescharacteristic, complemented
135#15689328C2211yescharacteristic, complemented
136#15689322C2211yescharacteristic
137#15689322C2211yescharacteristic
138#15689322C2211yescharacteristic
139#15689322C2211yescharacteristic
140#15689322C2211yescharacteristic, complemented
141#15689322C2211yescharacteristic, complemented
142#15689322C2211yescharacteristic, complemented
143#15689316C2211yescharacteristic, complemented
144#15689287C2211yescharacteristic, complemented
145#15689285C2211yescharacteristic, complemented
146#15689281C2211yescharacteristic, complemented
147#15689280C2211yescharacteristic, complemented
148#15689280C2211yescharacteristic, complemented
149#15689278C2211yescharacteristic, complemented
150#15689276C2211yescharacteristic, complemented
151#15689275C2211yescharacteristic
152#15689275C2211yescharacteristic
153#15689274C2211yescharacteristic, complemented
154#15689269C2211yescharacteristic, complemented
155#15689266C2211yescharacteristic, complemented
156#15689265C2211yescharacteristic, complemented
157#15689264C2211yescharacteristic
158#15689261C2211yescharacteristic
159#15689256C2211yescharacteristic, complemented
160#15689252C2211yescharacteristic, complemented
161#15689251C2211yescharacteristic, complemented
162#15689233C2211yescharacteristic, complemented
163#15689229C2211yescharacteristic, complemented
164#15689227C2211yescharacteristic, complemented
165#15689225C2211yescharacteristic, complemented
166#15689223C2211yescharacteristic, complemented
167#15689222C2211yescharacteristic, complemented
168#15689220C2211yescharacteristic, complemented
169#15689217C2211yescharacteristic, complemented
170#15689215C2211yescharacteristic, complemented
171#15689214C2211yescharacteristic, complemented
172#15689210C2211yescharacteristic, complemented
173#15689199C2211yescharacteristic, complemented
174#15689198C2211yescharacteristic, complemented
175#15689195C2211yescharacteristic, complemented
176#15689194C2211yescharacteristic, complemented
177#15689191C2211yescharacteristic, complemented
178#15689181C2211yescharacteristic, complemented
179#15689181C2211yescharacteristic, complemented
180#15689178C2211yescharacteristic, complemented
181#15689151C2211yescharacteristic, complemented
182#15689149C2211yescharacteristic, complemented
183#15689145C2211yescharacteristic, complemented
184#15689130C2211yescharacteristic, complemented
185#15689127C2211yescharacteristic, complemented
186#15689126C2211yescharacteristic
187#15689117C2211yescharacteristic, complemented
188C47×#555C2211yescharacteristic, complemented
189C47×#546C2211yescharacteristic
190C47×#489C2211yescharacteristic, complemented
191C47×#485C2211yescharacteristic, complemented
192C47×#482C2211yescharacteristic
193C47×#474C2211yescharacteristic, complemented
194C47×#468C2211yescharacteristic, complemented
195C47×#466C2211yescharacteristic
196C47×#463C2211yescharacteristic, complemented
197C47×#449C2211yescharacteristic, complemented
198C47×#447C2211yescharacteristic, complemented
199C47×#442C2211yescharacteristic, complemented
200C47×#435C2211yescharacteristic, complemented
201C47×#418C2211yescharacteristic, complemented
202C47×#416C2211yescharacteristic, complemented
203C2×#10625350—21no—
204C2×#10625350C2311yescharacteristic
205C2×#10625352C2311yescharacteristic
206C22×Dic94C2311yescharacteristic
207C22×Dic94C2311yescharacteristic
208C2×Q8×D47C2311yescharacteristic
209C22×D188C2311yescharacteristic
210C22×C22⋊D47—21no—
211C2×D4×D47—21no—
212C2×D4×D47C2311yescharacteristic
213#13094057—42no—
214#13094054—42no—
215#13094053—42no—
216#13094048—42no—
217C2×Dic188C2311yescharacteristic
218C2×Dic188C2311yescharacteristic
219C2×Dic188C2311yescharacteristic
220C2×#10625337C2311yescharacteristic
221C2×#10625337C2311yescharacteristic
222C2×#10625337C2311yescharacteristic
223C2×#10625325—42no—
224C2×#10625325C2311yescharacteristic
225C2×#10625325C2311yescharacteristic
226C2×#10625325C2311yescharacteristic
227C2×#10625325C2311yescharacteristic
228C2×#10625325C2311yescharacteristic
229C2×#10625325C2311yescharacteristic
230C2×#10625335—42no—
231C2×#10625335C2311yescharacteristic
232C2×#10625335C2311yescharacteristic
233C2×#10625335C2311yescharacteristic
234C2×#10625335C2311yescharacteristic
235C2×#10625335C2311yescharacteristic
236C2×#10625335C2311yescharacteristic
237C2×#10625335C2311yescharacteristic
238C2×#10625334C2311yescharacteristic
239C2×#10625334C2311yescharacteristic
240C2×#10625329C2311yescharacteristic
241C2×#10625324C2311yescharacteristic
242C2×#10625324C2311yescharacteristic
243C22×C47⋊C8C2311yescharacteristic
244#13094024C2311yescharacteristic
245#13094023—21no—
246#13094023—21no—
247#13094023C2311yescharacteristic
248#13094023C2311yescharacteristic
249#13094023C2311yescharacteristic
250#13094022—21no—
251#13094022—21no—
252#13094020C2311yescharacteristic
253#13094020C2311yescharacteristic
254#13094020C2311yescharacteristic
255#13094019—21no—
256#13094018—21no—
257#13094018—21no—
258#13094017—21no—
259#13094017—21no—
260#13094017—21no—
261#13094017—21no—
262#13094017—21no—
263#13094017—21no—
264#13094017—21no—
265#13094017D411yescharacteristic
266#13094017D411yescharacteristic
267#13094015—21no—
268#13094015D411yescharacteristic
269#13094013C2311yescharacteristic
270#13094013C2311yescharacteristic
271#13094012C2311yescharacteristic
272#13094011—21no—
273#13094011—21no—
274#13094011—21no—
275#13094011—21no—
276#13094011D411yescharacteristic
277#13094011C2311yescharacteristic
278#13094011C2311yescharacteristic
279#13094011C2311yescharacteristic
280#13094011C2311yescharacteristic
281#13094010—21no—
282#13094010—21no—
283#13094010—21no—
284#13094010—21no—
285#13094010—21no—
286#13094010—21no—
287#13094010—21no—
288#13094010—21no—
289#13094010—21no—
290#13094010—21no—
291#13094010—21no—
292#13094009—21no—
293#13094008—21no—
294#13094007—21no—
295#13094006—21no—
296#13094006—21no—
297#13094006—21no—
298#13094006D411yescharacteristic
299#13094006D411yescharacteristic
300#13094005—21no—
301#13094005—21no—
302#13094005—21no—
303#13094004—21no—
304#13094004D411yescharacteristic
305#13094004C2311yescharacteristic
306#13094004C2311yescharacteristic
307#13094003—21no—
308#13094003—21no—
309#13094003C2311yescharacteristic
310#13094003C2311yescharacteristic
311#13094003C2311yescharacteristic
312#13094002—21no—
313#13094001—21no—
314#13094001—21no—
315#13094001—21no—
316#13094001—21no—
317#13094001—21no—
318#13094001—21no—
319#13094001—21no—
320#13094000—21no—
321#13093999C2311yescharacteristic
322#13093998—21no—
323#13093998—21no—
324#13093998C2311yescharacteristic
325#13093997—21no—
326#13093997—21no—
327#13093997—21no—
328#13093997—21no—
329#13093996—21no—
330#13093996—21no—
331#13093996—21no—
332#13093995—21no—
333#13093995—21no—
334#13093995—21no—
335#13093995D411yescharacteristic
336#13093995C2311yescharacteristic
337#13093994—21no—
338#13093993—21no—
339#13093993—21no—
340#13093993—21no—
341#13093992—21no—
342#13093992—21no—
343#13093992—21no—
344#13093992—21no—
345#13093992—21no—
346Q8×Dic47—21no—
347Q8×Dic47C2311yescharacteristic
348C4×Dic94—21no—
349C4×Dic94—21no—
350C4×Dic94—21no—
351C4×Dic94—21no—
352C4×Dic94—21no—
353C4×Dic94—21no—
354C4×Dic94C2311yescharacteristic
355C4×Dic94C2311yescharacteristic
356#13093989—21no—
357#13093989C2311yescharacteristic
358#13093989C2311yescharacteristic
359#13093989C2311yescharacteristic
360#13093989C2311yescharacteristic
361#13093989C2311yescharacteristic
362#13093989C2311yescharacteristic
363#13093989C2311yescharacteristic
364#13093989C2311yescharacteristic
365C4×D188C2311yescharacteristic
366D4×Dic47—21no—
367D4×Dic47—21no—
368D4×Dic47—21no—
369D4×Dic47C2311yescharacteristic
370D4×Dic47C2311yescharacteristic
371#13093986—21no—
372#13093986C2311yescharacteristic
373C4×C22⋊D47—21no—
374C4×C22⋊D47—21no—
375C4×C22⋊D47—21no—
376C4×C22⋊D47—21no—
377C4×C22⋊D47C2311yescharacteristic
378C4×C22⋊D47C2311yescharacteristic
379(C22⋊D47)⋊C4—21no—
380(C22⋊D47)⋊C4—21no—
381#13093983—21no—
382#13093983C2311yescharacteristic
383#13093983C2311yescharacteristic
384#13093982—21no—
385#13093982C2311yescharacteristic
386#13093980—21no—
387#13093980—21no—
388#13093980—21no—
389#13093980—21no—
390#13093980—21no—
391C22⋊C4×D47—21no—
392C22⋊C4×D47—21no—
393C22⋊C4×D47—21no—
394C2×C4×Dic47—21no—
395C42×D47C2311yescharacteristic
396#13093958C2311yescharacteristic
397#13093957C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093957C2311yescharacteristic
400#13093955C2311yescharacteristic
401C4⋊(C47⋊C8)C2311yescharacteristic
402Dic47⋊C8C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406Dic47⋊C8C2311yescharacteristic
407Dic47⋊C8C2311yescharacteristic
408Dic47⋊C8C2311yescharacteristic
409Dic47⋊C8C2311yescharacteristic
410#13093949C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093949C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093947C2311yescharacteristic
420#13093947C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093944C2311yescharacteristic
427#13093944C2311yescharacteristic
428#13093944C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431#13093944C2311yescharacteristic
432C22⋊(C47⋊C8)C2311yescharacteristic
433C22⋊(C47⋊C8)C2311yescharacteristic
434(C2×D47)⋊C8C2311yescharacteristic
435(C2×D47)⋊C8C2311yescharacteristic
436#13093935C2311yescharacteristic
437#13093934C2311yescharacteristic
438#13093934C2311yescharacteristic
439C8×Dic47C2311yescharacteristic
440C8×Dic47C2311yescharacteristic
441C2×#41×C47C2311yescharacteristic
442C22×D4×C47C2311yescharacteristic
443C2×SD16×C47C2311yescharacteristic
444C2×D8×C47C2311yescharacteristic
445C2×D8×C47C2311yescharacteristic
446C2×M16×C47C2311yescharacteristic
447C22×C8×C47C2311yescharacteristic
448C4⋊Q8×C47C2311yescharacteristic
449#124×C47—21no—
450#124×C47—21no—
451#124×C47C2311yescharacteristic
452#123×C47—21no—
453C22⋊Q8×C47C2311yescharacteristic
454#121×C47—21no—
455#121×C47—21no—
456#121×C47C2311yescharacteristic
457#121×C47C2311yescharacteristic
458#121×C47C2311yescharacteristic
459#120×C47—21no—
460C4×D4×C47C2311yescharacteristic
461C4×D4×C47C2311yescharacteristic
462C4×D4×C47C2311yescharacteristic
463#117×C47—21no—
464#117×C47C2311yescharacteristic
465#117×C47C2311yescharacteristic
466C2×C22⋊C4×C47—21no—
467#107×C47C2311yescharacteristic
468#107×C47C2311yescharacteristic
469#106×C47C2311yescharacteristic
470C4⋊C8×C47C2311yescharacteristic
471#103×C47C2311yescharacteristic
472#103×C47C2311yescharacteristic
473#103×C47C2311yescharacteristic
474#102×C47C2311yescharacteristic
475#102×C47C2311yescharacteristic
476#102×C47C2311yescharacteristic
477#102×C47C2311yescharacteristic
478#102×C47C2311yescharacteristic
479#102×C47C2311yescharacteristic
480#102×C47C2311yescharacteristic
481C22⋊C8×C47C2311yescharacteristic
482C22⋊C8×C47C2311yescharacteristic
483#97×C47C2311yescharacteristic
484C24×C47—21no—
485C23×D47—21no—
486C23×D47—21no—
487#41×C47—41no—
488#41×C47—41no—
489C2×Q8×C47—21no—
490C2×Q8×C47C2411yescharacteristic
491C2×D4×C47—21no—
492C2×D4×C47—21no—
493C2×D4×C47—21no—
494C2×D4×C47—21no—
495C2×D4×C47—21no—
496C2×D4×C47—41no—
497C2×D4×C47—41no—
498C2×D4×C47C2×D411yescharacteristic
499C2×D4×C47C2411yescharacteristic
500C2×D4×C47C2411yescharacteristic
501C2×D4×C47C2411yescharacteristic
502C22×C4×C47—21no—
503C22×C4×C47—21no—
504C22×C4×C47—21no—
505C22×C4×C47C2411yescharacteristic
506C22×C4×C47C2411yescharacteristic
507C2×C22⋊D47—21no—
508C2×C22⋊D47—21no—
509C2×C22⋊D47—21no—
510C2×C22⋊D47—21no—
511C2×C22⋊D47—21no—
512C2×C22⋊D47—21no—
513C2×C22⋊D47—21no—
514C2×C22⋊D47—21no—
515C2×C22⋊D47—21no—
516C2×C22⋊D47—21no—
517C2×C22⋊D47—21no—
518C2×C22⋊D47—82no—
519C2×C22⋊D47C2×D411yescharacteristic
520C2×C22⋊D47C2×D411yescharacteristic
521C22×Dic47—21no—
522C22×Dic47—21no—
523C22×Dic47—21no—
524C22×Dic47—21no—
525C22×Dic47—21no—
526Q8×D47—41no—
527Q8×D47—41no—
528#10625352—22no—
529#10625352—41no—
530D4×D47—41no—
531D4×D47—41no—
532D4×D47—82no—
533#10625350—41no—
534#10625350—41no—
535#10625350—82no—
536C2×D188—21no—
537C2×D188—21no—
538C2×D188—41no—
539C2×D188—41no—
540C2×D188C2411yescharacteristic
541C2×D188C2411yescharacteristic
542C2×C4×D47—21no—
543C2×C4×D47—21no—
544C2×C4×D47—21no—
545C2×C4×D47—21no—
546C2×C4×D47C2×D411yescharacteristic
547C2×C4×D47C2×D411yescharacteristic
548C2×C4×D47C2411yescharacteristic
549C2×Dic94—22no—
550C2×Dic94—22no—
551C2×Dic94—21no—
552C2×Dic94—21no—
553C2×Dic94—21no—
554C2×Dic94—21no—
555C2×Dic94—21no—
556C2×Dic94—21no—
557C2×Dic94—41no—
558C2×Dic94—41no—
559C2×Dic94C2×D411yescharacteristic
560C2×Dic94C2411yescharacteristic
561C2×Dic94C2411yescharacteristic
562C2×Dic94C2411yescharacteristic
563C2×Dic94C2411yescharacteristic
564SD16×C47—41no—
565D8×C47—41no—
566D8×C47—41no—
567M16×C47—41no—
568C2×C8×C47—41no—
569C2×C8×C47C2411yescharacteristic
570C2×C8×C47C2411yescharacteristic
571C2×C8×C47C2411yescharacteristic
572C2×C8×C47C2411yescharacteristic
573C4⋊C4×C47—21no—
574C4⋊C4×C47—21no—
575C4⋊C4×C47C2×D411yescharacteristic
576C4⋊C4×C47C2411yescharacteristic
577C4⋊C4×C47C2411yescharacteristic
578C4⋊C4×C47C2411yescharacteristic
579C4⋊C4×C47C2411yescharacteristic
580C22⋊C4×C47—21no—
581C22⋊C4×C47—21no—
582C22⋊C4×C47—21no—
583C22⋊C4×C47—21no—
584C22⋊C4×C47—21no—
585C22⋊C4×C47—21no—
586C22⋊C4×C47—21no—
587C22⋊C4×C47—21no—
588C22⋊C4×C47—21no—
589C22⋊C4×C47—21no—
590C22⋊C4×C47C2×D411yescharacteristic
591C22⋊C4×C47C2×D411yescharacteristic
592C42×C47—21no—
593C42×C47—21no—
594C42×C47C2411yescharacteristic
595C22⋊Dic47—21no—
596C22⋊Dic47—21no—
597C22⋊Dic47—21no—
598C22⋊Dic47—21no—
599C22⋊Dic47—21no—
600C22⋊Dic47—21no—
601C22⋊Dic47—21no—
602C22⋊Dic47—21no—
603C22⋊Dic47—21no—
604C22⋊Dic47—21no—
605C22⋊Dic47—21no—
606C22⋊Dic47—21no—
607C22⋊Dic47—21no—
608C22⋊Dic47—21no—
609C22⋊Dic47C2×D411yescharacteristic
610C22⋊Dic47C2×D411yescharacteristic
611C22⋊Dic47C2×D411yescharacteristic
612C22⋊Dic47C2×D411yescharacteristic
613C22⋊Dic47C2×D411yescharacteristic
614C22⋊Dic47C2×D411yescharacteristic
615#10625337—22no—
616#10625337—41no—
617#10625337—41no—
618#10625335—22no—
619#10625335—22no—
620#10625335—41no—
621#10625335—41no—
622#10625335—41no—
623#10625335—41no—
624#10625335—41no—
625#10625334—41no—
626#10625334—41no—
627(C2×D47)⋊C4—21no—
628(C2×D47)⋊C4—21no—
629(C2×D47)⋊C4—21no—
630(C2×D47)⋊C4—21no—
631(C2×D47)⋊C4—21no—
632(C2×D47)⋊C4—21no—
633(C2×D47)⋊C4—21no—
634(C2×D47)⋊C4—21no—
635(C2×D47)⋊C4—21no—
636(C2×D47)⋊C4—21no—
637(C2×D47)⋊C4—21no—
638(C2×D47)⋊C4—21no—
639(C2×D47)⋊C4—21no—
640(C2×D47)⋊C4C2×D411yescharacteristic
641(C2×D47)⋊C4C2×D411yescharacteristic
642C4⋊Dic47—21no—
643C4⋊Dic47—21no—
644C4⋊Dic47—21no—
645C4⋊Dic47—21no—
646C4⋊Dic47—21no—
647C4⋊Dic47C2×D411yescharacteristic
648C4⋊Dic47C2×D411yescharacteristic
649C4⋊Dic47C2×D411yescharacteristic
650C4⋊Dic47C2×D411yescharacteristic
651C4⋊Dic47C2×D411yescharacteristic
652C4⋊Dic47C2411yescharacteristic
653C4⋊Dic47C2411yescharacteristic
654Dic47⋊C4—21no—
655Dic47⋊C4—21no—
656Dic47⋊C4—21no—
657Dic47⋊C4—21no—
658Dic47⋊C4—21no—
659Dic47⋊C4—21no—
660Dic47⋊C4—21no—
661Dic47⋊C4—21no—
662Dic47⋊C4—21no—
663Dic47⋊C4—21no—
664Dic47⋊C4—21no—
665Dic47⋊C4—21no—
666Dic47⋊C4—21no—
667Dic47⋊C4—21no—
668Dic47⋊C4—21no—
669Dic47⋊C4C2×D411yescharacteristic
670Dic47⋊C4C2×D411yescharacteristic
671Dic47⋊C4C2×D411yescharacteristic
672Dic47⋊C4C2×D411yescharacteristic
673C4×Dic47—21no—
674C4×Dic47—21no—
675C4×Dic47—21no—
676C4×Dic47—21no—
677C4×Dic47—21no—
678C4×Dic47—21no—
679C4×Dic47—21no—
680C4×Dic47—21no—
681C4×Dic47—21no—
682C4×Dic47—21no—
683C4×Dic47—21no—
684C4×Dic47C2×D411yescharacteristic
685C4×Dic47C2×D411yescharacteristic
686C4×Dic47C2411yescharacteristic
687C4×Dic47C2411yescharacteristic
688C4×Dic47C2411yescharacteristic
689#10625329—41no—
690C2×C47⋊C8—41no—
691C2×C47⋊C8C2411yescharacteristic
692C2×C47⋊C8C2411yescharacteristic
693C2×C47⋊C8C2411yescharacteristic
694C2×C47⋊C8C2411yescharacteristic
695Dic188—22no—
696Dic188—41no—
697Dic188—41no—
698#10625325—22no—
699#10625325—22no—
700#10625325—41no—
701#10625325—41no—
702#10625325—41no—
703#10625325—41no—
704#10625324—41no—
705#10625324—41no—
706C23×C47—21no—
707C23×C47—21no—
708C23×C47—21no—
709C23×C47—81no—
710C23×C47—81no—
711C23×C47—81no—
712C23×C47C22×D411yescharacteristic
713C23×C47C22×D411yescharacteristic
714C22×D47—21no—
715C22×D47—21no—
716C22×D47—42no—
717C22×D47—81no—
718C22×D47—81no—
719C22×D47—81no—
720C22×D47—81no—
721C22×D47—81no—
722C22×D47C22×D411yescharacteristic
723Q8×C47—21no—
724Q8×C47—21no—
725Q8×C47—81no—
726D4×C47—21no—
727D4×C47—21no—
728D4×C47—21no—
729D4×C47—21no—
730D4×C47—21no—
731D4×C47—21no—
732D4×C47—41no—
733D4×C47—81no—
734D4×C47—81no—
735D4×C47—81no—
736D4×C47—81no—
737D4×C47—81no—
738C2×C4×C47—21no—
739C2×C4×C47—21no—
740C2×C4×C47—21no—
741C2×C4×C47—21no—
742C2×C4×C47—21no—
743C2×C4×C47—21no—
744C2×C4×C47—21no—
745C2×C4×C47—21no—
746C2×C4×C47—21no—
747C2×C4×C47—42no—
748C2×C4×C47—81no—
749C2×C4×C47—81no—
750C2×C4×C47C22×D411yescharacteristic
751C2×C4×C47C22×D411yescharacteristic
752C2×C4×C47C22×D411yescharacteristic
753C2×C4×C47C22×D411yescharacteristic
754C2×C4×C47C2511yescharacteristic
755C22⋊D47—41no—
756C22⋊D47—41no—
757C22⋊D47—42no—
758C22⋊D47—42no—
759C22⋊D47—81no—
760C22⋊D47—81no—
761C22⋊D47—81no—
762C22⋊D47—81no—
763C22⋊D47—81no—
764C22⋊D47—81no—
765C22⋊D47—81no—
766C22⋊D47—81no—
767C22⋊D47—81no—
768C2×Dic47—21no—
769C2×Dic47—21no—
770C2×Dic47—21no—
771C2×Dic47—21no—
772C2×Dic47—21no—
773C2×Dic47—21no—
774C2×Dic47—42no—
775C2×Dic47—42no—
776C2×Dic47—42no—
777C2×Dic47—81no—
778C2×Dic47—81no—
779C2×Dic47C22×D411yescharacteristic
780C2×Dic47C22×D411yescharacteristic
781C2×Dic47C22×D411yescharacteristic
782C2×Dic47C22×D411yescharacteristic
783C2×Dic47C22×D411yescharacteristic
784C2×Dic47C22×D411yescharacteristic
785C2×Dic47C22×D411yescharacteristic
786D188—21no—
787D188—21no—
788D188—21no—
789D188—21no—
790D188—42no—
791D188—81no—
792C4×D47—21no—
793C4×D47—21no—
794C4×D47—41no—
795C4×D47—41no—
796C4×D47—81no—
797C4×D47—81no—
798C4×D47—81no—
799C4×D47—81no—
800Dic94—21no—
801Dic94—21no—
802Dic94—21no—
803Dic94—21no—
804Dic94—21no—
805Dic94—21no—
806Dic94—21no—
807Dic94—41no—
808Dic94—42no—
809Dic94—42no—
810Dic94—81no—
811Dic94—81no—
812Dic94—81no—
813Dic94—81no—
814Dic94H(5,𝔽2)12yes—
815C8×C47—21no—
816C8×C47—21no—
817C8×C47—21no—
818C8×C47—21no—
819C47⋊C8—21no—
820C47⋊C8—21no—
821C47⋊C8—21no—
822C47⋊C8—21no—
823#62092—471nomaximal, Sylow
824C22×C47—21no—
825C22×C47—21no—
826C22×C47—21no—
827C22×C47—21no—
828C22×C47—21no—
829C22×C47—21no—
830C22×C47—41no—
831C22×C47—41no—
832C22×C47—41no—
833C22×C47—41no—
834C22×C47—41no—
835C22×C47—41no—
836C22×C47—41no—
837C22×C47—41no—
838C22×C47—41no—
839C22×C47—162no—
840C22×C47C23×D411yescharacteristic
841C2×D47—21no—
842C2×D47—21no—
843C2×D47—21no—
844C2×D47—41no—
845C2×D47—41no—
846C2×D47—41no—
847C2×D47—41no—
848C2×D47—41no—
849C2×D47—41no—
850C2×D47—162no—
851C2×D47—162no—
852C4×C47—21no—
853C4×C47—21no—
854C4×C47—21no—
855C4×C47—21no—
856C4×C47—41no—
857C4×C47—41no—
858C4×C47—41no—
859C4×C47—41no—
860C4×C47—41no—
861C4×C47C2×H(5,𝔽2)11yescharacteristic
862C4×C47#58511yescharacteristic
863Dic47—21no—
864Dic47—21no—
865Dic47—21no—
866Dic47—21no—
867Dic47—21no—
868Dic47—21no—
869Dic47—22no—
870Dic47—21no—
871Dic47—41no—
872Dic47—41no—
873Dic47—41no—
874Dic47—41no—
875Dic47—41no—
876#3558—471no—
877#3518—471no—
878#3401—471no—
879#3401—471no—
880#3375—471no—
881#3375—471no—
882#3324—471no—
883#3324—471no—
884#3319—471no—
885#3319D4711yescharacteristic, complemented
886#3313—471no—
887#3313—471no—
888#3277—471no—
889#3277—471no—
890#3266—471no—
891#3266—471no—
892#3265—471no—
893#3265—471no—
894#3262—471no—
895#3262—471no—
896#3254—471no—
897#3224—471no—
898#3224—471no—
899#3215—471no—
900#3121—471no—
901#3121—471no—
902#3115—471no—
903#3043—471no—
904#3043—471no—
905#3040—471no—
906#2995—471no—
907C2×C47—41no—
908C2×C47—41no—
909C2×C47—81no—
910C2×C47—81no—
911C2×C47—81no—
912C2×C47#348811yescharacteristic
913C2×C47#358511yescharacteristic
914C2×C47#358611yescharacteristic
915D47—41no—
916D47—81no—
917D47—81no—
918C2×#137—471no—
919C2×#137—471no—
920C2×#137—471no—
921C2×AGL(1,ℤ/8)—471no—
922C22×SD16—471no—
923C22×SD16—471no—
924#562—941no—
925H(3,𝔽4)—941no—
926#559—471no—
927#559—471no—
928Q82—471no—
929#556—471no—
930#556—471no—
931#556—471no—
932#556—941no—
933#556—941no—
934#556—941no—
935#555—941no—
936#555C2×D4711yescharacteristic, complemented
937D4×Q8—471no—
938#548—471no—
939#548—471no—
940#548—471no—
941#548—471no—
942#546—471no—
943#546—941no—
944#546—941no—
945#546C2×D4711yescharacteristic
946D42—471no—
947D42—471no—
948#542—471no—
949#542—471no—
950#542—471no—
951#542—471no—
952#542—941no—
953#542—941no—
954#538—941no—
955#538—941no—
956#538—941no—
957#535—471no—
958#535—471no—
959#534—941no—
960#533—471no—
961#533—941no—
962#532—471no—
963#529—471no—
964#529—941no—
965C2×#124—471no—
966#519—471no—
967#519—471no—
968C4×#41—471no—
969#497—471no—
970#497—471no—
971#496—471no—
972#496—471no—
973#495—471no—
974#495—471no—
975#489—471no—
976#489—471no—
977#489—471no—
978#489C2×D4711yescharacteristic, complemented
979#486—471no—
980#486—471no—
981#485—471no—
982#485C2×D4711yescharacteristic, complemented
983#482—471no—
984#482—471no—
985#482—471no—
986#482C2×D4711yescharacteristic
987#477—471no—
988#477—471no—
989#477—471no—
990#477—471no—
991#475—471no—
992#474—471no—
993#474—471no—
994#474—471no—
995#474—471no—
996#474C2×D4711yescharacteristic, complemented
997#468—471no—
998#468—471no—
999#468—471no—
1000#468—471no—
1001#468—471no—
1002#468—471no—
1003#468—471no—
1004#468C2×D4711yescharacteristic, complemented
1005#467—471no—
1006#467—471no—
1007#466—471no—
1008#466C2×D4711yescharacteristic
1009#464—471no—
1010#464—471no—
1011#464—471no—
1012#464—471no—
1013#464—471no—
1014#464—471no—
1015#464—471no—
1016#464—471no—
1017#464—471no—
1018#464—471no—
1019#464—471no—
1020#464—471no—
1021#464—471no—
1022#464—471no—
1023#463—471no—
1024#463—471no—
1025#463—471no—
1026#463—471no—
1027#463—471no—
1028#463C2×D4711yescharacteristic, complemented
1029#461—471no—
1030#461—471no—
1031#460—471no—
1032#460—471no—
1033#460—471no—
1034#460—471no—
1035#460—471no—
1036#460—471no—
1037#460—471no—
1038#459—471no—
1039#452—471no—
1040#452—471no—
1041#451—471no—
1042#451—471no—
1043#451—471no—
1044#451—471no—
1045#450—471no—
1046#450—471no—
1047#450—471no—
1048#450—471no—
1049#449—471no—
1050#449—471no—
1051#449—471no—
1052#449C2×D4711yescharacteristic, complemented
1053#448—471no—
1054#448—471no—
1055#447—471no—
1056#447C2×D4711yescharacteristic, complemented
1057#446—471no—
1058#446—471no—
1059#442—471no—
1060#442C2×D4711yescharacteristic, complemented
1061#441—471no—
1062#441—471no—
1063#440—471no—
1064#440—471no—
1065#440—471no—
1066#440—471no—
1067C4×Q16—471no—
1068C4×Q16—471no—
1069C4×SD16—471no—
1070C4×SD16—471no—
1071#436—471no—
1072#436—471no—
1073#435—471no—
1074#435—471no—
1075#435—471no—
1076#435C2×D4711yescharacteristic, complemented
1077#433—471no—
1078#433—471no—
1079#432—471no—
1080#424—471no—
1081#424—471no—
1082#423—471no—
1083#419—471no—
1084#418—471no—
1085#418—471no—
1086#418C2×D4711yescharacteristic, complemented
1087#416—471no—
1088#416C2×D4711yescharacteristic, complemented
1089C47#6209211yescharacteristic, complemented, Sylow
1090C2×#41—471no—
1091C2×#41—471no—
1092C2×#41—941no—
1093C2×#41C22×D4711yescharacteristic
1094C22×Q8—471no—
1095C22×Q8—471no—
1096C22×Q8—471no—
1097C22×D4—471no—
1098C22×D4—471no—
1099C22×D4—941no—
1100C22×D4—941no—
1101C22×D4C22×D4711yescharacteristic
1102#137—1882no—
1103#137—1882no—
1104#137—1882no—
1105AGL(1,ℤ/8)—1882no—
1106C2×Q16—471no—
1107C2×Q16—471no—
1108C2×Q16—471no—
1109C2×Q16—471no—
1110C2×Q16—471no—
1111C2×Q16—471no—
1112C2×SD16—471no—
1113C2×SD16—471no—
1114C2×SD16—471no—
1115C2×SD16—471no—
1116C2×SD16—471no—
1117C2×SD16—471no—
1118C2×SD16—471no—
1119C2×SD16—471no—
1120C2×SD16—471no—
1121C2×SD16—471no—
1122C2×SD16—471no—
1123C2×SD16—471no—
1124C2×SD16—471no—
1125C2×SD16—1882no—
1126C2×SD16—1882no—
1127C2×SD16C22×D4711yescharacteristic
1128C2×D8—471no—
1129C2×D8—471no—
1130C2×D8C22×D4711yescharacteristic
1131C2×D8C22×D4711yescharacteristic
1132C2×M16—471no—
1133C2×M16—471no—
1134C2×M16—471no—
1135C2×M16C22×D4711yescharacteristic
1136C22×C8—471no—
1137C22×C8C22×D4711yescharacteristic
1138C4⋊Q8—471no—
1139C4⋊Q8—471no—
1140C4⋊Q8—471no—
1141C4⋊Q8—471no—
1142C4⋊Q8—941no—
1143C4⋊Q8—941no—
1144C4⋊Q8—941no—
1145C4⋊Q8—941no—
1146C4⋊Q8C22×D4711yescharacteristic
1147#127—471no—
1148#127—471no—
1149#127—471no—
1150#126—471no—
1151#126—471no—
1152#126—941no—
1153#126—941no—
1154#126—941no—
1155#126—941no—
1156#126—941no—
1157#126—941no—
1158#126—941no—
1159#126—941no—
1160#126—941no—
1161#126—941no—
1162#125—471no—
1163#125—941no—
1164#124—21no—
1165#124—21no—
1166#124—471no—
1167#124—471no—
1168#124—471no—
1169#124—471no—
1170#124—471no—
1171#124—471no—
1172#124—471no—
1173#124—471no—
1174#124—941no—
1175#124—941no—
1176#124—941no—
1177#124—941no—
1178#124—941no—
1179#124—941no—
1180#124—941no—
1181#124—941no—
1182#124—941no—
1183#124—941no—
1184#124—941no—
1185#124—941no—
1186#124—941no—
1187#124—941no—
1188#124—941no—
1189#124C22×D4711yescharacteristic
1190#123—21no—
1191#123—471no—
1192#123—471no—
1193#123—941no—
1194#123—941no—
1195#123—941no—
1196#123—941no—
1197#123—941no—
1198#123—941no—
1199#123—941no—
1200#123—941no—
1201#123—941no—
1202C22⋊Q8—471no—
1203C22⋊Q8—471no—
1204C22⋊Q8—471no—
1205C22⋊Q8—471no—
1206C22⋊Q8—471no—
1207C22⋊Q8—471no—
1208C22⋊Q8—941no—
1209C22⋊Q8—941no—
1210C22⋊Q8—941no—
1211C22⋊Q8—941no—
1212C22⋊Q8—941no—
1213C22⋊Q8—941no—
1214C22⋊Q8—941no—
1215C22⋊Q8—941no—
1216C22⋊Q8—941no—
1217C22⋊Q8—941no—
1218C22⋊Q8—941no—
1219C22⋊Q8—941no—
1220C22⋊Q8C22×D4711yescharacteristic
1221#121—21no—
1222#121—21no—
1223#121—471no—
1224#121—471no—
1225#121—471no—
1226#121—471no—
1227#121—941no—
1228#121—941no—
1229#121—941no—
1230#121—941no—
1231#121—941no—
1232#121—941no—
1233#121—941no—
1234#121—941no—
1235#121—941no—
1236#121—941no—
1237#121—941no—
1238#121—941no—
1239#121C22×D4711yescharacteristic
1240#121C22×D4711yescharacteristic
1241#121C22×D4711yescharacteristic
1242#120—21no—
1243#120—941no—
1244#120—941no—
1245#120—941no—
1246#120—941no—
1247#120—941no—
1248#120—941no—
1249#120—941no—
1250#120—941no—
1251#120—941no—
1252C4×Q8—471no—
1253C4×Q8—471no—
1254C4×Q8—471no—
1255C4×Q8—471no—
1256C4×Q8—471no—
1257C4×Q8—471no—
1258C4×Q8—471no—
1259C4×Q8—471no—
1260C4×Q8—471no—
1261C4×Q8—471no—
1262C4×Q8—471no—
1263C4×Q8—941no—
1264C4×Q8—941no—
1265C4×Q8—941no—
1266C4×Q8—941no—
1267C4×Q8—941no—
1268C4×Q8—941no—
1269C4×Q8—941no—
1270C4×Q8—941no—
1271C4×D4—471no—
1272C4×D4—471no—
1273C4×D4—471no—
1274C4×D4—471no—
1275C4×D4—471no—
1276C4×D4—471no—
1277C4×D4—941no—
1278C4×D4—941no—
1279C4×D4—941no—
1280C4×D4—941no—
1281C4×D4—941no—
1282C4×D4—941no—
1283C4×D4—941no—
1284C4×D4—941no—
1285C4×D4—941no—
1286C4×D4—941no—
1287C4×D4C22×D4711yescharacteristic
1288C4×D4C22×D4711yescharacteristic
1289C4×D4C22×D4711yescharacteristic
1290#117—21no—
1291#117—471no—
1292#117—471no—
1293#117—471no—
1294#117—941no—
1295#117—941no—
1296#117—941no—
1297#117—941no—
1298#117—941no—
1299#117—941no—
1300#117—941no—
1301#117C22×D4711yescharacteristic
1302#117C22×D4711yescharacteristic
1303C2×C22⋊C4—21no—
1304C2×C22⋊C4—941no—
1305C2×C22⋊C4—941no—
1306C2×C22⋊C4—941no—
1307C2×C42—471no—
1308C2×C42—941no—
1309#107—471no—
1310#107—471no—
1311#107—471no—
1312#107—471no—
1313#107C22×D4711yescharacteristic
1314#107C22×D4711yescharacteristic
1315#106—471no—
1316#106C22×D4711yescharacteristic
1317C4⋊C8—471no—
1318C4⋊C8—471no—
1319C4⋊C8—471no—
1320C4⋊C8—471no—
1321C4⋊C8—471no—
1322C4⋊C8—471no—
1323C4⋊C8—471no—
1324C4⋊C8—471no—
1325C4⋊C8—471no—
1326C4⋊C8C22×D4711yescharacteristic
1327#103—471no—
1328#103—471no—
1329#103—471no—
1330#103—471no—
1331#103—471no—
1332#103—471no—
1333#103—471no—
1334#103—471no—
1335#103—471no—
1336#103—471no—
1337#103—471no—
1338#103C22×D4711yescharacteristic
1339#103C22×D4711yescharacteristic
1340#103C22×D4711yescharacteristic
1341#102—471no—
1342#102—471no—
1343#102—471no—
1344#102—471no—
1345#102—471no—
1346#102—471no—
1347#102—471no—
1348#102—471no—
1349#102—471no—
1350#102—471no—
1351#102—471no—
1352#102C22×D4711yescharacteristic
1353#102C22×D4711yescharacteristic
1354#102C22×D4711yescharacteristic
1355#102C22×D4711yescharacteristic
1356#102C22×D4711yescharacteristic
1357#102C22×D4711yescharacteristic
1358#102C22×D4711yescharacteristic
1359C22⋊C8—471no—
1360C22⋊C8—471no—
1361C22⋊C8—471no—
1362C22⋊C8—471no—
1363C22⋊C8C22×D4711yescharacteristic
1364C22⋊C8C22×D4711yescharacteristic
1365#97—471no—
1366#97—471no—
1367#97—471no—
1368#97C22×D4711yescharacteristic
1369C4×C8—471no—
1370C4×C8—471no—
1371C24—21no—
1372C24—941no—
1373C24—941no—
1374#41—41no—
1375#41—41no—
1376#41—942no—
1377#41—3762no—
1378#41—1881no—
1379#41—1881no—
1380#41—1881no—
1381C2×Q8—21no—
1382C2×Q8—471no—
1383C2×Q8—471no—
1384C2×Q8—471no—
1385C2×Q8—471no—
1386C2×Q8—471no—
1387C2×Q8—941no—
1388C2×Q8—941no—
1389C2×Q8—941no—
1390C2×Q8—941no—
1391C2×Q8—942no—
1392C2×Q8—942no—
1393C2×Q8—941no—
1394C2×Q8—941no—
1395C2×Q8—1881no—
1396C2×Q8—1881no—
1397C2×Q8—1881no—
1398C2×Q8—1881no—
1399C2×Q8C23×D4711yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—471no—
1408C2×D4—471no—
1409C2×D4—471no—
1410C2×D4—471no—
1411C2×D4—941no—
1412C2×D4—941no—
1413C2×D4—941no—
1414C2×D4—941no—
1415C2×D4—941no—
1416C2×D4—941no—
1417C2×D4—941no—
1418C2×D4—941no—
1419C2×D4—941no—
1420C2×D4—941no—
1421C2×D4—941no—
1422C2×D4—941no—
1423C2×D4—941no—
1424C2×D4—3762no—
1425C2×D4—3762no—
1426C2×D4—1881no—
1427C2×D4—1881no—
1428C2×D4—1881no—
1429C2×D4—1881no—
1430C2×D4D4×D4711yescharacteristic
1431C2×D4C23×D4711yescharacteristic
1432C2×D4C23×D4711yescharacteristic
1433C2×D4C23×D4711yescharacteristic
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—471no—
1438C22×C4—471no—
1439C22×C4—471no—
1440C22×C4—941no—
1441C22×C4—941no—
1442C22×C4—941no—
1443C22×C4—941no—
1444C22×C4—941no—
1445C22×C4—941no—
1446C22×C4—941no—
1447C22×C4—941no—
1448C22×C4—941no—
1449C22×C4C23×D4711yescharacteristic
1450C22×C4C23×D4711yescharacteristic
1451Q16—942no—
1452Q16—942no—
1453Q16—1881no—
1454Q16—1881no—
1455Q16—1881no—
1456Q16—1881no—
1457SD16—41no—
1458SD16—942no—
1459SD16—942no—
1460SD16—942no—
1461SD16—942no—
1462SD16—1881no—
1463SD16—1881no—
1464SD16—1881no—
1465SD16—1881no—
1466SD16—1881no—
1467SD16—1881no—
1468SD16—1881no—
1469SD16—1881no—
1470SD16—1881no—
1471D8—41no—
1472D8—41no—
1473D8—1881no—
1474D8—1881no—
1475M16—41no—
1476M16—1881no—
1477M16—1881no—
1478M16—1881no—
1479C2×C8—41no—
1480C2×C8—471no—
1481C2×C8—471no—
1482C2×C8—471no—
1483C2×C8—471no—
1484C2×C8—1881no—
1485C2×C8C23×D4711yescharacteristic
1486C2×C8C23×D4711yescharacteristic
1487C2×C8C23×D4711yescharacteristic
1488C2×C8C23×D4711yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—471no—
1492C4⋊C4—471no—
1493C4⋊C4—471no—
1494C4⋊C4—471no—
1495C4⋊C4—471no—
1496C4⋊C4—471no—
1497C4⋊C4—471no—
1498C4⋊C4—471no—
1499C4⋊C4—471no—
1500C4⋊C4—471no—
1501C4⋊C4—471no—
1502C4⋊C4—941no—
1503C4⋊C4—941no—
1504C4⋊C4—941no—
1505C4⋊C4—941no—
1506C4⋊C4—941no—
1507C4⋊C4—941no—
1508C4⋊C4—941no—
1509C4⋊C4—941no—
1510C4⋊C4—941no—
1511C4⋊C4—941no—
1512C4⋊C4—941no—
1513C4⋊C4—941no—
1514C4⋊C4—941no—
1515C4⋊C4—941no—
1516C4⋊C4—941no—
1517C4⋊C4—941no—
1518C4⋊C4—941no—
1519C4⋊C4—941no—
1520C4⋊C4—941no—
1521C4⋊C4—941no—
1522C4⋊C4D4×D4711yescharacteristic
1523C4⋊C4C23×D4711yescharacteristic
1524C4⋊C4C23×D4711yescharacteristic
1525C4⋊C4C23×D4711yescharacteristic
1526C4⋊C4C23×D4711yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—471no—
1538C22⋊C4—471no—
1539C22⋊C4—471no—
1540C22⋊C4—471no—
1541C22⋊C4—471no—
1542C22⋊C4—471no—
1543C22⋊C4—471no—
1544C22⋊C4—471no—
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—941no—
1556C22⋊C4—941no—
1557C22⋊C4—941no—
1558C22⋊C4—941no—
1559C22⋊C4—941no—
1560C22⋊C4—941no—
1561C22⋊C4—941no—
1562C22⋊C4—941no—
1563C22⋊C4—941no—
1564C22⋊C4—941no—
1565C22⋊C4—941no—
1566C22⋊C4—941no—
1567C22⋊C4—941no—
1568C22⋊C4—941no—
1569C22⋊C4—941no—
1570C22⋊C4—941no—
1571C22⋊C4—941no—
1572C22⋊C4D4×D4711yescharacteristic
1573C22⋊C4D4×D4711yescharacteristic
1574C42—21no—
1575C42—21no—
1576C42—471no—
1577C42—471no—
1578C42—471no—
1579C42—471no—
1580C42—471no—
1581C42—941no—
1582C42—941no—
1583C42—941no—
1584C42—941no—
1585C42—941no—
1586C42—941no—
1587C42—941no—
1588C42—941no—
1589C42—941no—
1590C42—941no—
1591C42—941no—
1592C42C23×D4711yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—81no—
1597C23—81no—
1598C23—81no—
1599C23—471no—
1600C23—941no—
1601C23—941no—
1602C23—3761no—
1603C23—3761no—
1604C23—3761no—
1605C23—3761no—
1606C23—3761no—
1607C23—1882no—
1608C23C2×D4×D4711yescharacteristic
1609C23C2×D4×D4711yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—81no—
1613Q8—472no—
1614Q8—941no—
1615Q8—941no—
1616Q8—941no—
1617Q8—941no—
1618Q8—941no—
1619Q8—941no—
1620Q8—941no—
1621Q8—3761no—
1622Q8—3761no—
1623Q8—3761no—
1624Q8—3761no—
1625Q8—1881no—
1626Q8—1882no—
1627Q8—1882no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—41no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—941no—
1641D4—941no—
1642D4—941no—
1643D4—941no—
1644D4—3761no—
1645D4—3761no—
1646D4—3761no—
1647D4—3761no—
1648D4—3761no—
1649D4—3761no—
1650D4—3761no—
1651D4—3761no—
1652D4—3761no—
1653D4—3761no—
1654D4—1882no—
1655D4—1881no—
1656D4—1881no—
1657D4—1882no—
1658D4—1882no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—42no—
1669C2×C4—81no—
1670C2×C4—81no—
1671C2×C4—471no—
1672C2×C4—471no—
1673C2×C4—471no—
1674C2×C4—471no—
1675C2×C4—471no—
1676C2×C4—471no—
1677C2×C4—471no—
1678C2×C4—941no—
1679C2×C4—941no—
1680C2×C4—941no—
1681C2×C4—941no—
1682C2×C4—941no—
1683C2×C4—941no—
1684C2×C4—941no—
1685C2×C4—941no—
1686C2×C4—3761no—
1687C2×C4—3761no—
1688C2×C4—3761no—
1689C2×C4—3761no—
1690C2×C4—3761no—
1691C2×C4—3761no—
1692C2×C4—1881no—
1693C2×C4—1881no—
1694C2×C4—1882no—
1695C2×C4—1882no—
1696C2×C4—1882no—
1697C2×C4C2×D4×D4711yescharacteristic
1698C2×C4C2×D4×D4711yescharacteristic
1699C2×C4C2×D4×D4711yescharacteristic
1700C2×C4C2×D4×D4711yescharacteristic
1701C2×C4C24×D4711yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—941no—
1707C8—941no—
1708C8—941no—
1709C8—941no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—162no—
1726C22—941no—
1727C22—941no—
1728C22—941no—
1729C22—1881no—
1730C22—1881no—
1731C22—1881no—
1732C22—1881no—
1733C22—1881no—
1734C22—1881no—
1735C22—7522no—
1736C22—7522no—
1737C22C22×D4×D4711yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—941no—
1748C4—942no—
1749C4—941no—
1750C4—941no—
1751C4—941no—
1752C4—941no—
1753C4—941no—
1754C4—941no—
1755C4—1881no—
1756C4—1881no—
1757C4—1881no—
1758C4—1881no—
1759C4—1881no—
1760C4H(5,𝔽2)×D4711yescharacteristic
1761C4#1568995911yescharacteristic
1762C2—41no—
1763C2—41no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—3761no—
1768C2—3761no—
1769C2—1881no—
1770C2#2025705111yescharacteristic
1771C2#2025816311yescharacteristic
1772C2#2025817211yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3319C2
socleC22×C47C23×D4
hypercenter#3319D47
hypocenterC47#62092
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3319

Complements

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

NH ≅ G/Ntype
1. #20257897C2semidirect
2. #20257404C2semidirect
3. #20256459C2semidirect
4. #20256451C2semidirect
5. #20256205C2semidirect
6. #20256199C2semidirect
7. #20255617C2semidirect
8. #20255615C2semidirect
9. #20255538C2semidirect
10. #20255452C2semidirect
11. #20255450C2semidirect
12. #20255042C2semidirect
13. #20255038C2semidirect
14. #20254903C2semidirect
15. #20254894C2semidirect
16. #20254887C2semidirect
17. #20254880C2semidirect
18. #20254845C2semidirect
19. #20254843C2semidirect
20. #20254777C2semidirect
21. #20254480C2semidirect
22. #20254478C2semidirect
23. #20254392C2semidirect
24. #20253620C2semidirect
25. #20253612C2semidirect
26. #20253535C2semidirect
27. #20252912C2semidirect
28. #20252908C2semidirect
29. #20252877C2semidirect
30. #20252554C2semidirect
31. C47×#3319C2semidirect
32. C2×#13094057C22semidirect
33. C2×#13094054C22semidirect
34. C2×#13094053C22semidirect
36. C22×#10625325C22semidirect
37. C22×#10625335C22semidirect
42. #15689853C22semidirect
43. #15689843C22semidirect
47. #15689841C22semidirect
48. #15689841C22semidirect
50. D4×Dic94C22semidirect
53. #15689779C22semidirect
54. #15689779C22semidirect
62. #15689740C22semidirect
63. #15689740C22semidirect
72. #15689678C22semidirect
78. #15689600C22semidirect
79. #15689600C22semidirect
80. C4×#10625352C22semidirect
81. #15689518C22semidirect
82. #15689517C22semidirect
85. #15689506C22semidirect
86. #15689504C22semidirect
87. #15689485C22semidirect
88. #15689484C22semidirect
89. #15689481C22semidirect
92. #15689464C22semidirect
93. #15689449C22semidirect
95. #15689445C22semidirect
96. #15689417C22semidirect
97. #15689417C22semidirect
98. #15689417C22semidirect
99. #15689416C22semidirect
100. #15689407C22semidirect
101. #15689402C22semidirect
102. #15689401C22semidirect
103. #15689401C22semidirect
104. #15689400C22semidirect
105. #15689370C22semidirect
106. #15689370C22semidirect
108. #15689368C22semidirect
109. #15689368C22semidirect
111. #15689367C22semidirect
112. #15689364C22semidirect
113. #15689362C22semidirect
115. #15689348C22semidirect
116. #15689348C22semidirect
117. #15689348C22semidirect
118. #15689348C22semidirect
119. #15689348C22semidirect
120. #15689346C22semidirect
121. #15689344C22semidirect
122. #15689344C22semidirect
123. #15689344C22semidirect
124. #15689344C22semidirect
125. #15689344C22semidirect
126. #15689344C22semidirect
127. #15689343C22semidirect
128. #15689342C22semidirect
129. #15689340C22semidirect
130. #15689338C22semidirect
131. #15689337C22semidirect
132. #15689336C22semidirect
133. #15689336C22semidirect
134. #15689329C22semidirect
135. #15689328C22semidirect
140. #15689322C22semidirect
141. #15689322C22semidirect
142. #15689322C22semidirect
143. #15689316C22semidirect
144. #15689287C22semidirect
145. #15689285C22semidirect
146. #15689281C22semidirect
147. #15689280C22semidirect
148. #15689280C22semidirect
149. #15689278C22semidirect
150. #15689276C22semidirect
153. #15689274C22semidirect
154. #15689269C22semidirect
155. #15689266C22semidirect
156. #15689265C22semidirect
159. #15689256C22semidirect
160. #15689252C22semidirect
161. #15689251C22semidirect
162. #15689233C22semidirect
163. #15689229C22semidirect
164. #15689227C22semidirect
165. #15689225C22semidirect
166. #15689223C22semidirect
167. #15689222C22semidirect
168. #15689220C22semidirect
169. #15689217C22semidirect
170. #15689215C22semidirect
171. #15689214C22semidirect
172. #15689210C22semidirect
173. #15689199C22semidirect
174. #15689198C22semidirect
175. #15689195C22semidirect
176. #15689194C22semidirect
177. #15689191C22semidirect
178. #15689181C22semidirect
179. #15689181C22semidirect
180. #15689178C22semidirect
181. #15689151C22semidirect
182. #15689149C22semidirect
183. #15689145C22semidirect
184. #15689130C22semidirect
185. #15689127C22semidirect
187. #15689117C22semidirect
188. C47×#555C22semidirect
190. C47×#489C22semidirect
191. C47×#485C22semidirect
193. C47×#474C22semidirect
194. C47×#468C22semidirect
196. C47×#463C22semidirect
197. C47×#449C22semidirect
198. C47×#447C22semidirect
199. C47×#442C22semidirect
200. C47×#435C22semidirect
201. C47×#418C22semidirect
202. C47×#416C22semidirect
885. #3319D47semidirect
936. #555C2×D47semidirect
978. #489C2×D47semidirect
982. #485C2×D47semidirect
996. #474C2×D47semidirect
1004. #468C2×D47semidirect
1028. #463C2×D47semidirect
1052. #449C2×D47semidirect
1056. #447C2×D47semidirect
1060. #442C2×D47semidirect
1076. #435C2×D47semidirect
1086. #418C2×D47semidirect
1088. #416C2×D47semidirect
1089. C47#62092semidirect

Maximal subgroups

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

subgroupindex
#202578972
#202574042
#202564592
#202564512
#202562052
#202561992
#202556172
#202556152
#202555382
#202554522
#202554502
#202550422
#202550382
#202549032
#202548942
#202548872
#202548802
#202548452
#202548432
#202547772
#202544802
#202544782
#202543922
#202536202
#202536122
#202535352
#202529122
#202529082
#202528772
#202525542
C47×#33192
#6209247