Finite Group Databasebeta

← #27101752

Subgroups — #27101752

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#20257216C211yesmaximal, characteristic, complemented
2#41×C22⋊D47C211yesmaximal, characteristic, complemented
3#20255652C211yesmaximal, characteristic, complemented
4#20255600C211yesmaximal, characteristic, complemented
5#20255560C211yesmaximal, characteristic, complemented
6#20255530C211yesmaximal, characteristic, complemented
7#20255518C211yesmaximal, characteristic, complemented
8#20255488C211yesmaximal, characteristic, complemented
9#20255283C211yesmaximal, characteristic, complemented
10#20255231C211yesmaximal, characteristic, complemented
11#20255127C211yesmaximal, characteristic, complemented
12#20255093C211yesmaximal, characteristic, complemented
13#20255013C211yesmaximal, characteristic, complemented
14#20254993C211yesmaximal, characteristic, complemented
15#20254952C211yesmaximal, characteristic, complemented
16#20254921C211yesmaximal, characteristic, complemented
17#20254906C211yesmaximal, characteristic, complemented
18#20254877C211yesmaximal, characteristic, complemented
19#20254423C211yesmaximal, characteristic, complemented
20#20254367C211yesmaximal, characteristic, complemented
21#20254230C211yesmaximal, characteristic, complemented
22#20254216C211yesmaximal, characteristic, complemented
23#20254176C211yesmaximal, characteristic, complemented
24#20254151C211yesmaximal, characteristic, complemented
25#20253498C211yesmaximal, characteristic, complemented
26#20253399C211yesmaximal, characteristic, complemented
27#20252637C211yesmaximal, characteristic, complemented
28#20252606C211yesmaximal, characteristic, complemented
29#452×D47C211yesmaximal, characteristic, complemented
30#20252424C211yesmaximal, characteristic, complemented
31C47×#3005C211yesmaximal, characteristic, complemented
32C2×#41×D47C2211yescharacteristic
33C2×#13094051C2211yescharacteristic, complemented
34C2×#13094048C2211yescharacteristic, complemented
35C2×#13094044C2211yescharacteristic, complemented
36C2×#13094044C2211yescharacteristic, complemented
37C2×Q16×D47C2211yescharacteristic, complemented
38C2×SD16×D47C2211yescharacteristic, complemented
39#15689823—21no—
40#15689820C2211yescharacteristic, complemented
41#15689818—21no—
42#15689817C2211yescharacteristic
43#15689812C2211yescharacteristic, complemented
44#15689807C2211yescharacteristic, complemented
45#15689802—21no—
46#15689801—21no—
47#15689792C2211yescharacteristic
48Q8×C22⋊D47C2211yescharacteristic, complemented
49#15689784C2211yescharacteristic
50#15689783C2211yescharacteristic, complemented
51#15689780C2211yescharacteristic
52#15689780C2211yescharacteristic, complemented
53#15689772—21no—
54#15689772C2211yescharacteristic
55#15689770C2211yescharacteristic, complemented
56#15689767—21no—
57#15689767C2211yescharacteristic
58#15689761—21no—
59#15689761C2211yescharacteristic, complemented
60#15689761C2211yescharacteristic, complemented
61D4×C22⋊D47—21no—
62D4×C22⋊D47C2211yescharacteristic, complemented
63#15689715—21no—
64#15689708—21no—
65#15689683—21no—
66#15689669—21no—
67#15689669C2211yescharacteristic, complemented
68#15689659C2211yescharacteristic, complemented
69#15689654C2211yescharacteristic, complemented
70#15689634—21no—
71#15689634C2211yescharacteristic, complemented
72#15689634C2211yescharacteristic, complemented
73#15689630—21no—
74#15689630C2211yescharacteristic
75C22⋊Q8×D47C2211yescharacteristic, complemented
76#121×D47C2211yescharacteristic, complemented
77#15689595—21no—
78#41×Dic47C2211yescharacteristic, complemented
79C2×C4×C22⋊D47—21no—
80C2×C4×C22⋊D47C2211yescharacteristic
81#15689514C2211yescharacteristic, complemented
82#15689511C2211yescharacteristic, complemented
83#15689508C2211yescharacteristic, complemented
84#15689504C2211yescharacteristic, complemented
85#15689490C2211yescharacteristic, complemented
86#15689486C2211yescharacteristic, complemented
87#15689479C2211yescharacteristic, complemented
88#15689476C2211yescharacteristic, complemented
89#15689465C2211yescharacteristic, complemented
90#15689465C2211yescharacteristic, complemented
91#15689464C2211yescharacteristic, complemented
92#15689461C2211yescharacteristic, complemented
93#15689457C2211yescharacteristic, complemented
94#15689457C2211yescharacteristic, complemented
95#15689448C2211yescharacteristic, complemented
96#15689448C2211yescharacteristic, complemented
97#15689447C2211yescharacteristic, complemented
98#15689444C2211yescharacteristic, complemented
99#15689440C2211yescharacteristic, complemented
100#15689440C2211yescharacteristic, complemented
101#15689432C2211yescharacteristic, complemented
102#15689432C2211yescharacteristic, complemented
103#15689425C2211yescharacteristic, complemented
104#15689425C2211yescharacteristic, complemented
105#15689381C2211yescharacteristic, complemented
106#15689380C2211yescharacteristic, complemented
107#15689378C2211yescharacteristic, complemented
108#15689376C2211yescharacteristic, complemented
109#15689369C2211yescharacteristic, complemented
110#15689369C2211yescharacteristic, complemented
111#15689368C2211yescharacteristic, complemented
112#15689366C2211yescharacteristic, complemented
113#15689362C2211yescharacteristic, complemented
114#15689358C2211yescharacteristic, complemented
115#15689357C2211yescharacteristic, complemented
116#15689356C2211yescharacteristic, complemented
117#15689355C2211yescharacteristic, complemented
118#15689354C2211yescharacteristic, complemented
119#15689350C2211yescharacteristic, complemented
120#15689349C2211yescharacteristic, complemented
121#15689348C2211yescharacteristic, complemented
122#15689347C2211yescharacteristic, complemented
123#15689344C2211yescharacteristic, complemented
124#15689343C2211yescharacteristic, complemented
125#15689340C2211yescharacteristic, complemented
126#15689340C2211yescharacteristic, complemented
127#15689336C2211yescharacteristic, complemented
128#15689336C2211yescharacteristic, complemented
129#15689331C2211yescharacteristic, complemented
130#15689327C2211yescharacteristic, complemented
131#15689321C2211yescharacteristic, complemented
132#15689317C2211yescharacteristic, complemented
133#15689288C2211yescharacteristic, complemented
134#15689287C2211yescharacteristic, complemented
135#15689287C2211yescharacteristic, complemented
136#15689286C2211yescharacteristic, complemented
137#15689285C2211yescharacteristic, complemented
138#15689285C2211yescharacteristic, complemented
139#15689285C2211yescharacteristic, complemented
140#15689284C2211yescharacteristic, complemented
141#15689283C2211yescharacteristic, complemented
142#15689282C2211yescharacteristic, complemented
143#15689279C2211yescharacteristic, complemented
144#15689277C2211yescharacteristic, complemented
145#15689274C2211yescharacteristic, complemented
146#15689272C2211yescharacteristic, complemented
147#15689270C2211yescharacteristic, complemented
148#15689270C2211yescharacteristic, complemented
149#15689268C2211yescharacteristic
150#15689268C2211yescharacteristic, complemented
151#15689268C2211yescharacteristic, complemented
152#15689266C2211yescharacteristic, complemented
153#15689263C2211yescharacteristic, complemented
154#15689262C2211yescharacteristic, complemented
155#15689260C2211yescharacteristic, complemented
156#15689260C2211yescharacteristic, complemented
157#15689258C2211yescharacteristic, complemented
158#15689257C2211yescharacteristic, complemented
159#15689255C2211yescharacteristic, complemented
160#15689255C2211yescharacteristic, complemented
161#15689232C2211yescharacteristic, complemented
162#15689230C2211yescharacteristic, complemented
163#15689226C2211yescharacteristic, complemented
164#15689224C2211yescharacteristic, complemented
165#15689215C2211yescharacteristic, complemented
166#15689214C2211yescharacteristic, complemented
167SD16×Dic47C2211yescharacteristic, complemented
168D8×Dic47C2211yescharacteristic, complemented
169#15689199C2211yescharacteristic, complemented
170#15689199C2211yescharacteristic, complemented
171#15689192C2211yescharacteristic, complemented
172#15689192C2211yescharacteristic, complemented
173#15689191C2211yescharacteristic, complemented
174#15689191C2211yescharacteristic, complemented
175(C22⋊D47)⋊C8C2211yescharacteristic, complemented
176(C22⋊D47)⋊C8C2211yescharacteristic, complemented
177#15689177C2211yescharacteristic, complemented
178#15689173C2211yescharacteristic, complemented
179#15689123C2211yescharacteristic, complemented
180#15689121C2211yescharacteristic, complemented
181#15689119C2211yescharacteristic, complemented
182#15689119C2211yescharacteristic, complemented
183#103×D47C2211yescharacteristic, complemented
184#102×D47C2211yescharacteristic, complemented
185#15689085C2211yescharacteristic, complemented
186C2×C22⋊(C47⋊C8)C2211yescharacteristic, complemented
187C22⋊C8×D47C2211yescharacteristic, complemented
188C22×#41×C47C2211yescharacteristic, complemented
189C2×#137×C47C2211yescharacteristic, complemented
190C2×AGL(1,ℤ/8)×C47C2211yescharacteristic, complemented
191C47×#525C2211yescharacteristic, complemented
192C47×#452C2211yescharacteristic, complemented
193C47×#452C2211yescharacteristic, complemented
194C47×#452C2211yescharacteristic, complemented
195C47×#452C2211yescharacteristic, complemented
196C47×#449C2211yescharacteristic
197C47×#449C2211yescharacteristic, complemented
198C47×#449C2211yescharacteristic, complemented
199C47×#449C2211yescharacteristic, complemented
200C47×#419C2211yescharacteristic, complemented
201C47×#418C2211yescharacteristic, complemented
202C47×#407C2211yescharacteristic, complemented
203C2×#10625354C2311yescharacteristic
204C2×#10625350—21no—
205C2×#10625350C2311yescharacteristic
206C2×#10625350C2311yescharacteristic
207C2×#10625352—21no—
208C2×#10625352C2311yescharacteristic
209#41×D47—42no—
210#41×D47—42no—
211C2×Q8×D47C2311yescharacteristic
212C2×Q8×D47C2311yescharacteristic
213C22×C22⋊D47—21no—
214C22×C22⋊D47D411yescharacteristic
215C2×D4×D47—21no—
216C2×D4×D47—21no—
217C2×D4×D47C2311yescharacteristic
218C2×D4×D47C2311yescharacteristic
219C22×C4×D47—21no—
220C22×C4×D47C2311yescharacteristic
221#13094051—42no—
222#13094048—42no—
223#13094044—42no—
224#13094044—42no—
225C2×Dic188C2311yescharacteristic
226C2×#10625337C2311yescharacteristic
227C2×#10625337C2311yescharacteristic
228C2×#10625337C2311yescharacteristic
229Q16×D47—42no—
230C2×#10625325C2311yescharacteristic
231C2×#10625325C2311yescharacteristic
232C2×#10625335C2311yescharacteristic
233C2×#10625335C2311yescharacteristic
234C2×#10625335C2311yescharacteristic
235C2×#10625336C2311yescharacteristic
236C2×#10625336C2311yescharacteristic
237C2×#10625336C2311yescharacteristic
238SD16×D47—42no—
239C2×D376C2311yescharacteristic
240C2×#10625334C2311yescharacteristic
241C2×#10625334C2311yescharacteristic
242C2×#10625334C2311yescharacteristic
243C2×#10625324C2311yescharacteristic
244C2×#10625324C2311yescharacteristic
245C22×C47⋊C8C2311yescharacteristic
246C22×C47⋊C8C2311yescharacteristic
247C2×C8×D47C2311yescharacteristic
248C2×C8×D47C2311yescharacteristic
249#13094022—21no—
250#13094022C2311yescharacteristic
251#13094020—21no—
252#13094020C2311yescharacteristic
253#13094019—21no—
254#13094018—21no—
255#13094017—21no—
256#13094017—21no—
257#13094017—21no—
258#13094017—21no—
259#13094016—21no—
260#13094015C2311yescharacteristic
261#13094015C2311yescharacteristic
262#13094014—21no—
263#13094013—21no—
264#13094013C2311yescharacteristic
265#13094013C2311yescharacteristic
266#13094011—21no—
267#13094011—21no—
268#13094011C2311yescharacteristic
269#13094011C2311yescharacteristic
270#13094010—21no—
271#13094008—21no—
272#13094007—21no—
273#13094007—21no—
274#13094007—21no—
275#13094007—21no—
276#13094007—21no—
277#13094006—21no—
278#13094006—21no—
279#13094006—21no—
280#13094006—21no—
281#13094005—21no—
282#13094005—21no—
283#13094005—21no—
284#13094005—21no—
285#13094005—21no—
286#13094004C2311yescharacteristic
287#13094003—21no—
288#13094003—21no—
289#13094003—21no—
290#13094003C2311yescharacteristic
291#13094003C2311yescharacteristic
292#13094003C2311yescharacteristic
293#13094003C2311yescharacteristic
294#13094002—21no—
295#13094002—21no—
296#13094001—21no—
297#13094000—21no—
298#13094000—21no—
299#13094000C2311yescharacteristic
300#13094000C2311yescharacteristic
301#13094000C2311yescharacteristic
302#13093999C2311yescharacteristic
303#13093998—21no—
304#13093998—21no—
305#13093998C2311yescharacteristic
306#13093998C2311yescharacteristic
307#13093998C2311yescharacteristic
308#13093998C2311yescharacteristic
309#13093997—21no—
310#13093997—21no—
311#13093997—21no—
312#13093996—21no—
313#13093996—21no—
314#13093996—21no—
315#13093996—21no—
316#13093996—21no—
317#13093996—21no—
318#13093996—21no—
319#13093996—21no—
320#13093995—21no—
321#13093995—21no—
322#13093995—21no—
323#13093995—21no—
324#13093995—21no—
325#13093995C2311yescharacteristic
326#13093995C2311yescharacteristic
327#13093995C2311yescharacteristic
328#13093993—21no—
329#13093993—21no—
330#13093993—21no—
331#13093993—21no—
332#13093992—21no—
333#13093992—21no—
334#13093992—21no—
335#13093992—21no—
336#13093992—21no—
337Q8×Dic47C2311yescharacteristic
338Q8×Dic47C2311yescharacteristic
339Q8×Dic47C2311yescharacteristic
340#13093989C2311yescharacteristic
341C4×D188—21no—
342D4×Dic47—21no—
343D4×Dic47—21no—
344D4×Dic47—21no—
345D4×Dic47C2311yescharacteristic
346D4×Dic47C2311yescharacteristic
347D4×Dic47C2311yescharacteristic
348#13093986—21no—
349#13093986C2311yescharacteristic
350C4×C22⋊D47—21no—
351C4×C22⋊D47—21no—
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⋊D47—21no—
359C4×C22⋊D47—21no—
360C4×C22⋊D47—21no—
361C4×C22⋊D47—21no—
362C4×C22⋊D47—21no—
363C4×C22⋊D47D411yescharacteristic
364C4×C22⋊D47D411yescharacteristic
365C4×C22⋊D47D411yescharacteristic
366C4×C22⋊D47D411yescharacteristic
367C4×C22⋊D47C2311yescharacteristic
368C4×C22⋊D47C2311yescharacteristic
369C4×C22⋊D47C2311yescharacteristic
370C4×C22⋊D47C2311yescharacteristic
371(C22⋊D47)⋊C4—21no—
372(C22⋊D47)⋊C4—21no—
373#13093983—21no—
374#13093983C2311yescharacteristic
375#13093983C2311yescharacteristic
376#13093982—21no—
377#13093982—21no—
378#13093981—21no—
379#13093980—21no—
380C2×Dic47⋊C4—21no—
381C2×Dic47⋊C4D411yescharacteristic
382C4⋊C4×D47—21no—
383C4⋊C4×D47C2311yescharacteristic
384C4⋊C4×D47C2311yescharacteristic
385C2×C22⋊Dic47—21no—
386C2×C22⋊Dic47D411yescharacteristic
387C2×(C2×D47)⋊C4—21no—
388C2×(C2×D47)⋊C4—21no—
389C2×(C2×D47)⋊C4D411yescharacteristic
390C22⋊C4×D47—21no—
391C22⋊C4×D47—21no—
392C22⋊C4×D47—21no—
393C2×C4×Dic47—21no—
394C2×C4×Dic47C2311yescharacteristic
395#13093958C2311yescharacteristic
396#13093958C2311yescharacteristic
397#13093957C2311yescharacteristic
398#13093957C2311yescharacteristic
399#13093956C2311yescharacteristic
400#13093956C2311yescharacteristic
401#13093955C2311yescharacteristic
402#13093955C2311yescharacteristic
403Dic47⋊C8C2311yescharacteristic
404Dic47⋊C8C2311yescharacteristic
405Dic47⋊C8C2311yescharacteristic
406Dic47⋊C8C2311yescharacteristic
407#13093949C2311yescharacteristic
408#13093949C2311yescharacteristic
409#13093949C2311yescharacteristic
410#13093949C2311yescharacteristic
411#13093948C2311yescharacteristic
412#13093948C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093948C2311yescharacteristic
416#13093948C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431C22⋊(C47⋊C8)C2311yescharacteristic
432C22⋊(C47⋊C8)C2311yescharacteristic
433C22⋊(C47⋊C8)C2311yescharacteristic
434C22⋊(C47⋊C8)C2311yescharacteristic
435(C2×D47)⋊C8C2311yescharacteristic
436(C2×D47)⋊C8C2311yescharacteristic
437(C2×D47)⋊C8C2311yescharacteristic
438(C2×D47)⋊C8C2311yescharacteristic
439#13093934C2311yescharacteristic
440#13093934C2311yescharacteristic
441C8×Dic47C2311yescharacteristic
442C8×Dic47C2311yescharacteristic
443C2×#41×C47—21no—
444C2×#41×C47—21no—
445C2×#41×C47—42no—
446C2×#41×C47—42no—
447C2×#41×C47C2311yescharacteristic
448C2×#41×C47C2311yescharacteristic
449C2×#41×C47C2311yescharacteristic
450C2×#41×C47C2311yescharacteristic
451C2×#41×C47C2311yescharacteristic
452C22×Q8×C47C2311yescharacteristic
453C22×D4×C47—21no—
454C22×D4×C47C2311yescharacteristic
455C23×C4×C47—21no—
456C23×C4×C47C2311yescharacteristic
457#137×C47—42no—
458AGL(1,ℤ/8)×C47—42no—
459C2×Q16×C47C2311yescharacteristic
460C2×Q16×C47C2311yescharacteristic
461C2×SD16×C47C2311yescharacteristic
462C2×SD16×C47C2311yescharacteristic
463C2×SD16×C47C2311yescharacteristic
464C2×SD16×C47C2311yescharacteristic
465C2×D8×C47C2311yescharacteristic
466C2×D8×C47C2311yescharacteristic
467C2×M16×C47C2311yescharacteristic
468C2×M16×C47C2311yescharacteristic
469#123×C47—21no—
470C22⋊Q8×C47C2311yescharacteristic
471C22⋊Q8×C47C2311yescharacteristic
472#121×C47C2311yescharacteristic
473#121×C47C2311yescharacteristic
474#120×C47—21no—
475C4×D4×C47—21no—
476C4×D4×C47—21no—
477#117×C47C2311yescharacteristic
478#103×C47C2311yescharacteristic
479#103×C47C2311yescharacteristic
480#103×C47C2311yescharacteristic
481#103×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486C22⋊C8×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489C22⋊C8×C47C2311yescharacteristic
490C24×C47—21no—
491C24×C47C2×D411yescharacteristic
492C23×D47—21no—
493C23×D47—21no—
494C23×D47C2×D411yescharacteristic
495#41×C47—22no—
496#41×C47—22no—
497#41×C47—22no—
498#41×C47—22no—
499#41×C47—41no—
500#41×C47—41no—
501#41×C47—41no—
502#41×C47—41no—
503#41×C47—44no—
504#41×C47—41no—
505#41×C47—41no—
506#41×C47—44no—
507C2×Q8×C47—21no—
508C2×Q8×C47—22no—
509C2×Q8×C47—41no—
510C2×Q8×C47C2411yescharacteristic
511C2×Q8×C47C2411yescharacteristic
512C2×Q8×C47C2411yescharacteristic
513C2×D4×C47—21no—
514C2×D4×C47—22no—
515C2×D4×C47—21no—
516C2×D4×C47—21no—
517C2×D4×C47—21no—
518C2×D4×C47—21no—
519C2×D4×C47—21no—
520C2×D4×C47—21no—
521C2×D4×C47—21no—
522C2×D4×C47—41no—
523C2×D4×C47—44no—
524C2×D4×C47C2411yescharacteristic
525C2×D4×C47C2411yescharacteristic
526C2×D4×C47C2411yescharacteristic
527C22×C4×C47—21no—
528C22×C4×C47—21no—
529C22×C4×C47—21no—
530C22×C4×C47—21no—
531C22×C4×C47—21no—
532C22×C4×C47—21no—
533C22×C4×C47—41no—
534C22×C4×C47—41no—
535C22×C4×C47—44no—
536C22×C4×C47C2×D411yescharacteristic
537C22×C4×C47C2×D411yescharacteristic
538C22×C4×C47C2×D411yescharacteristic
539C22×C4×C47C2411yescharacteristic
540C22×C4×C47C2411yescharacteristic
541C22×C4×C47C2411yescharacteristic
542C2×C22⋊D47—21no—
543C2×C22⋊D47—21no—
544C2×C22⋊D47—21no—
545C2×C22⋊D47—21no—
546C2×C22⋊D47—21no—
547C2×C22⋊D47—21no—
548C2×C22⋊D47—21no—
549C2×C22⋊D47—21no—
550C2×C22⋊D47—21no—
551C2×C22⋊D47—21no—
552C2×C22⋊D47—21no—
553C2×C22⋊D47—21no—
554C2×C22⋊D47—21no—
555C2×C22⋊D47—21no—
556C2×C22⋊D47—42no—
557C2×C22⋊D47—44no—
558C2×C22⋊D47C2×D411yescharacteristic
559C2×C22⋊D47C2×D411yescharacteristic
560C2×C22⋊D47C2×D411yescharacteristic
561C2×C22⋊D47C2×D411yescharacteristic
562C22×Dic47—21no—
563C22×Dic47—21no—
564C22×Dic47—21no—
565C22×Dic47—21no—
566C22×Dic47C2×D411yescharacteristic
567C22×Dic47C2×D411yescharacteristic
568C22×Dic47C2×D411yescharacteristic
569#10625354—22no—
570#10625354—41no—
571Q8×D47—22no—
572Q8×D47—41no—
573Q8×D47—41no—
574Q8×D47—41no—
575#10625352—22no—
576#10625352—41no—
577#10625352—44no—
578D4×D47—22no—
579D4×D47—41no—
580D4×D47—41no—
581D4×D47—41no—
582D4×D47—44no—
583D4×D47—44no—
584#10625350—41no—
585#10625350—41no—
586#10625350—41no—
587#10625350—41no—
588#10625350—44no—
589C2×D188—21no—
590C2×D188—21no—
591C2×D188C2411yescharacteristic
592C2×D188C2411yescharacteristic
593C2×C4×D47—21no—
594C2×C4×D47—21no—
595C2×C4×D47—21no—
596C2×C4×D47—21no—
597C2×C4×D47—21no—
598C2×C4×D47—21no—
599C2×C4×D47—21no—
600C2×C4×D47—21no—
601C2×C4×D47—41no—
602C2×C4×D47—41no—
603C2×C4×D47—44no—
604C2×C4×D47C2×D411yescharacteristic
605C2×C4×D47C2×D411yescharacteristic
606C2×C4×D47C2411yescharacteristic
607C2×C4×D47C2411yescharacteristic
608C2×Dic94—21no—
609C2×Dic94—21no—
610C2×Dic94C2411yescharacteristic
611C2×Dic94C2411yescharacteristic
612Q16×C47—22no—
613Q16×C47—41no—
614SD16×C47—22no—
615SD16×C47—22no—
616SD16×C47—41no—
617SD16×C47—41no—
618D8×C47—22no—
619D8×C47—41no—
620M16×C47—41no—
621M16×C47—41no—
622C2×C8×C47C2411yescharacteristic
623C2×C8×C47C2411yescharacteristic
624C2×C8×C47C2411yescharacteristic
625C2×C8×C47C2411yescharacteristic
626C4⋊C4×C47—21no—
627C4⋊C4×C47—21no—
628C4⋊C4×C47C2411yescharacteristic
629C4⋊C4×C47C2411yescharacteristic
630C22⋊C4×C47—21no—
631C22⋊C4×C47—21no—
632C22⋊C4×C47—21no—
633C22⋊C4×C47—21no—
634C22⋊C4×C47—21no—
635C42×C47—21no—
636C22⋊Dic47—21no—
637C22⋊Dic47—21no—
638C22⋊Dic47—21no—
639C22⋊Dic47—21no—
640C22⋊Dic47—21no—
641C22⋊Dic47—21no—
642C22⋊Dic47—21no—
643C22⋊Dic47—21no—
644C22⋊Dic47—21no—
645C22⋊Dic47—21no—
646C22⋊Dic47—21no—
647C22⋊Dic47—21no—
648C22⋊Dic47—21no—
649C22⋊Dic47—21no—
650C22⋊Dic47—21no—
651C22⋊Dic47—21no—
652C22⋊Dic47C2×D411yescharacteristic
653C22⋊Dic47C2×D411yescharacteristic
654C22⋊Dic47C2×D411yescharacteristic
655C22⋊Dic47C2×D411yescharacteristic
656#10625337—22no—
657#10625337—41no—
658#10625337—41no—
659#10625336—22no—
660#10625336—41no—
661#10625336—41no—
662#10625335—22no—
663#10625335—41no—
664#10625335—41no—
665#10625334—22no—
666#10625334—41no—
667#10625334—41no—
668(C2×D47)⋊C4—21no—
669(C2×D47)⋊C4—21no—
670(C2×D47)⋊C4—21no—
671(C2×D47)⋊C4—21no—
672(C2×D47)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
683(C2×D47)⋊C4C2×D411yescharacteristic
684(C2×D47)⋊C4C2×D411yescharacteristic
685(C2×D47)⋊C4C2×D411yescharacteristic
686C4⋊Dic47—21no—
687C4⋊Dic47—21no—
688C4⋊Dic47—21no—
689C4⋊Dic47—21no—
690C4⋊Dic47—21no—
691C4⋊Dic47—21no—
692C4⋊Dic47C2411yescharacteristic
693C4⋊Dic47C2411yescharacteristic
694C4⋊Dic47C2411yescharacteristic
695C4⋊Dic47C2411yescharacteristic
696Dic47⋊C4—21no—
697Dic47⋊C4—21no—
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⋊C4C2×D411yescharacteristic
711Dic47⋊C4C2×D411yescharacteristic
712Dic47⋊C4C2×D411yescharacteristic
713Dic47⋊C4C2×D411yescharacteristic
714C4×Dic47—21no—
715C4×Dic47—21no—
716C4×Dic47—21no—
717C4×Dic47—21no—
718C4×Dic47—21no—
719C4×Dic47—21no—
720C4×Dic47C2×D411yescharacteristic
721C4×Dic47C2×D411yescharacteristic
722C4×Dic47C2411yescharacteristic
723C4×Dic47C2411yescharacteristic
724C2×C47⋊C8—41no—
725C2×C47⋊C8—41no—
726C2×C47⋊C8C2411yescharacteristic
727C2×C47⋊C8C2411yescharacteristic
728C2×C47⋊C8C2411yescharacteristic
729C2×C47⋊C8C2411yescharacteristic
730Dic188—41no—
731D376—41no—
732#10625325—41no—
733#10625325—41no—
734#10625324—41no—
735#10625324—41no—
736C8×D47—41no—
737C8×D47—41no—
738C23×C47—21no—
739C23×C47—21no—
740C23×C47—21no—
741C23×C47—41no—
742C23×C47—41no—
743C23×C47—41no—
744C23×C47—42no—
745C23×C47—42no—
746C23×C47—81no—
747C23×C47C22×D411yescharacteristic
748C23×C47C22×D411yescharacteristic
749C23×C47C22×D411yescharacteristic
750C22×D47—22no—
751C22×D47—21no—
752C22×D47—21no—
753C22×D47—41no—
754C22×D47—41no—
755C22×D47—42no—
756C22×D47—42no—
757C22×D47—42no—
758C22×D47—81no—
759C22×D47—81no—
760C22×D47—81no—
761C22×D47C22×D411yescharacteristic
762C22×D47C22×D411yescharacteristic
763Q8×C47—21no—
764Q8×C47—21no—
765Q8×C47—21no—
766Q8×C47—21no—
767Q8×C47—21no—
768Q8×C47—42no—
769Q8×C47H(5,𝔽2)12yes—
770D4×C47—24no—
771D4×C47—21no—
772D4×C47—21no—
773D4×C47—21no—
774D4×C47—21no—
775D4×C47—21no—
776D4×C47—42no—
777D4×C47—42no—
778D4×C47—42no—
779D4×C47—42no—
780D4×C47—42no—
781D4×C47—81no—
782D4×C47—81no—
783D4×C47H(5,𝔽2)12yes—
784C2×C4×C47—24no—
785C2×C4×C47—21no—
786C2×C4×C47—21no—
787C2×C4×C47—21no—
788C2×C4×C47—21no—
789C2×C4×C47—21no—
790C2×C4×C47—21no—
791C2×C4×C47—21no—
792C2×C4×C47—21no—
793C2×C4×C47—21no—
794C2×C4×C47—21no—
795C2×C4×C47—21no—
796C2×C4×C47—41no—
797C2×C4×C47—41no—
798C2×C4×C47—41no—
799C2×C4×C47—42no—
800C2×C4×C47—42no—
801C2×C4×C47—42no—
802C2×C4×C47—42no—
803C2×C4×C47—81no—
804C2×C4×C47C22×D411yescharacteristic
805C2×C4×C47C22×D411yescharacteristic
806C2×C4×C47C22×D411yescharacteristic
807C2×C4×C47C2511yescharacteristic
808C22⋊D47—22no—
809C22⋊D47—22no—
810C22⋊D47—41no—
811C22⋊D47—41no—
812C22⋊D47—42no—
813C22⋊D47—42no—
814C22⋊D47—42no—
815C22⋊D47—42no—
816C22⋊D47—42no—
817C22⋊D47—42no—
818C22⋊D47—42no—
819C22⋊D47—42no—
820C22⋊D47—81no—
821C22⋊D47—81no—
822C22⋊D47—81no—
823C22⋊D47—81no—
824C22⋊D47—81no—
825C22⋊D47—81no—
826C2×Dic47—21no—
827C2×Dic47—21no—
828C2×Dic47—21no—
829C2×Dic47—21no—
830C2×Dic47—21no—
831C2×Dic47—21no—
832C2×Dic47—41no—
833C2×Dic47—41no—
834C2×Dic47—41no—
835C2×Dic47—42no—
836C2×Dic47—42no—
837C2×Dic47—81no—
838C2×Dic47—81no—
839C2×Dic47C22×D411yescharacteristic
840C2×Dic47C22×D411yescharacteristic
841C2×Dic47C22×D411yescharacteristic
842C2×Dic47C22×D411yescharacteristic
843C2×Dic47C22×D411yescharacteristic
844C2×Dic47C22×D411yescharacteristic
845D188—21no—
846D188—21no—
847D188—21no—
848D188—21no—
849D188—42no—
850D188—42no—
851C4×D47—21no—
852C4×D47—21no—
853C4×D47—21no—
854C4×D47—21no—
855C4×D47—41no—
856C4×D47—41no—
857C4×D47—42no—
858C4×D47—42no—
859C4×D47—42no—
860C4×D47—42no—
861C4×D47—81no—
862C4×D47—81no—
863C4×D47—81no—
864C4×D47—81no—
865Dic94—21no—
866Dic94—21no—
867Dic94—21no—
868Dic94—21no—
869Dic94—42no—
870Dic94—81no—
871C8×C47—21no—
872C8×C47—21no—
873C8×C47—21no—
874C8×C47—21no—
875C47⋊C8—21no—
876C47⋊C8—21no—
877C47⋊C8—21no—
878C47⋊C8—21no—
879#61606—471nomaximal, Sylow
880C22×C47—21no—
881C22×C47—21no—
882C22×C47—21no—
883C22×C47—21no—
884C22×C47—22no—
885C22×C47—21no—
886C22×C47—21no—
887C22×C47—21no—
888C22×C47—21no—
889C22×C47—21no—
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—82no—
899C22×C47—84no—
900C22×C47C23×D411yescharacteristic
901C2×D47—21no—
902C2×D47—21no—
903C2×D47—21no—
904C2×D47—21no—
905C2×D47—21no—
906C2×D47—41no—
907C2×D47—41no—
908C2×D47—41no—
909C2×D47—41no—
910C2×D47—41no—
911C2×D47—41no—
912C2×D47—82no—
913C2×D47—84no—
914C2×D47—162no—
915C2×D47#57512yes—
916C4×C47—22no—
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—21no—
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#3273—471no—
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#3005D4711yescharacteristic, complemented
966#3002—471no—
967C2×#452—471no—
968#2974—471no—
969C2×C47—41no—
970C2×C47—42no—
971C2×C47—41no—
972C2×C47—41no—
973C2×C47—81no—
974C2×C47—81no—
975C2×C47#348411yescharacteristic
976C2×C47C2×#57511yescharacteristic
977C2×C47#358411yescharacteristic
978D47—22no—
979D47—41no—
980D47—81no—
981D47—81no—
982C22×#41—471no—
983C22×#41C2×D4711yescharacteristic, complemented
984C2×#137C2×D4711yescharacteristic, complemented
985C2×AGL(1,ℤ/8)—471no—
986C2×AGL(1,ℤ/8)—471no—
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—471no—
1011#546—471no—
1012#546—941no—
1013#546—941no—
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—941no—
1027#525—941no—
1028#525C2×D4711yescharacteristic, complemented
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#495—471no—
1039#491—471no—
1040#490—471no—
1041#488—471no—
1042#488—471no—
1043#485—471no—
1044#485—471no—
1045#485—471no—
1046#485—471no—
1047#484—471no—
1048#484—471no—
1049#482—471no—
1050#482—471no—
1051#482—471no—
1052#482—471no—
1053#481—471no—
1054#481—471no—
1055#479—471no—
1056#479—471no—
1057#478—471no—
1058#478—471no—
1059#470—471no—
1060#470—471no—
1061#470—471no—
1062#469—471no—
1063#468—471no—
1064#468—471no—
1065#468—471no—
1066#468—471no—
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#463—471no—
1082#463—471no—
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#452C2×D4711yescharacteristic, complemented
1098#452C2×D4711yescharacteristic, complemented
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#449C2×D4711yescharacteristic
1112#449C2×D4711yescharacteristic, complemented
1113#449C2×D4711yescharacteristic, complemented
1114#449C2×D4711yescharacteristic, complemented
1115#448—471no—
1116#448—471no—
1117#448—471no—
1118#448—471no—
1119#447—471no—
1120#447—471no—
1121#447—471no—
1122#447—471no—
1123#442—471no—
1124#441—471no—
1125#440—471no—
1126#440—471no—
1127C4×Q16—471no—
1128C4×SD16—471no—
1129C4×SD16—471no—
1130C4×D8—471no—
1131#436—471no—
1132#436—471no—
1133#435—471no—
1134#435—471no—
1135#435—471no—
1136#435—471no—
1137C8×D4—471no—
1138C8×D4—471no—
1139#432—471no—
1140#431—471no—
1141#419C2×D4711yescharacteristic, complemented
1142#418C2×D4711yescharacteristic, complemented
1143#417—471no—
1144#417—471no—
1145#416—471no—
1146#416—471no—
1147C2×#103—471no—
1148C2×#102—471no—
1149#407—471no—
1150#407C2×D4711yescharacteristic, complemented
1151C2×C22⋊C8—471no—
1152C2×C22⋊C8—471no—
1153C47#6160611yescharacteristic, complemented, Sylow
1154C2×#41—21no—
1155C2×#41—21no—
1156C2×#41—42no—
1157C2×#41—42no—
1158C2×#41—471no—
1159C2×#41—471no—
1160C2×#41—471no—
1161C2×#41—471no—
1162C2×#41—941no—
1163C2×#41—941no—
1164C2×#41—1882no—
1165C2×#41—1882no—
1166C2×#41C22×D4711yescharacteristic
1167C2×#41C22×D4711yescharacteristic
1168C2×#41C22×D4711yescharacteristic
1169C2×#41C22×D4711yescharacteristic
1170C2×#41C22×D4711yescharacteristic
1171C22×Q8—471no—
1172C22×Q8—471no—
1173C22×Q8C22×D4711yescharacteristic
1174C22×D4—21no—
1175C22×D4—471no—
1176C22×D4—471no—
1177C22×D4—471no—
1178C22×D4—941no—
1179C22×D4—941no—
1180C22×D4—941no—
1181C22×D4C22×D4711yescharacteristic
1182C23×C4—21no—
1183C23×C4—471no—
1184C23×C4—941no—
1185C23×C4C22×D4711yescharacteristic
1186#137—42no—
1187AGL(1,ℤ/8)—42no—
1188AGL(1,ℤ/8)—1882no—
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—1882no—
1197C2×Q16C22×D4711yescharacteristic
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×D8—471no—
1215C2×D8—471no—
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—471no—
1243#124—471no—
1244#124—941no—
1245#124—941no—
1246#124—941no—
1247#124—941no—
1248#123—21no—
1249#123—941no—
1250#123—941no—
1251#123—941no—
1252#123—941no—
1253#123—941no—
1254#123—941no—
1255#123—941no—
1256#123—941no—
1257#123—941no—
1258#123—941no—
1259#123—941no—
1260#123—941no—
1261#123—941no—
1262#123—941no—
1263#123—941no—
1264C22⋊Q8—471no—
1265C22⋊Q8—471no—
1266C22⋊Q8—471no—
1267C22⋊Q8—471no—
1268C22⋊Q8—471no—
1269C22⋊Q8—471no—
1270C22⋊Q8—471no—
1271C22⋊Q8—471no—
1272C22⋊Q8—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—471no—
1283#121—471no—
1284#121—471no—
1285#121—471no—
1286#121—471no—
1287#121—471no—
1288#121—471no—
1289#121—471no—
1290#121—941no—
1291#121—941no—
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—941no—
1312#120—941no—
1313#120—941no—
1314#120—941no—
1315#120—941no—
1316#120—941no—
1317#120—941no—
1318#120—941no—
1319#120—941no—
1320C4×Q8—471no—
1321C4×Q8—471no—
1322C4×Q8—471no—
1323C4×Q8—471no—
1324C4×D4—21no—
1325C4×D4—21no—
1326C4×D4—471no—
1327C4×D4—471no—
1328C4×D4—471no—
1329C4×D4—471no—
1330C4×D4—471no—
1331C4×D4—471no—
1332C4×D4—471no—
1333C4×D4—471no—
1334C4×D4—471no—
1335C4×D4—471no—
1336C4×D4—471no—
1337C4×D4—471no—
1338C4×D4—941no—
1339C4×D4—941no—
1340C4×D4—941no—
1341C4×D4—941no—
1342C4×D4—941no—
1343C4×D4—941no—
1344C4×D4—941no—
1345C4×D4—941no—
1346C4×D4—941no—
1347C4×D4—941no—
1348C4×D4—941no—
1349C4×D4—941no—
1350C4×D4—941no—
1351C4×D4—941no—
1352C4×D4—941no—
1353C4×D4—941no—
1354C4×D4—941no—
1355C4×D4—941no—
1356C4×D4—941no—
1357C4×D4—941no—
1358#117—471no—
1359#117—471no—
1360#117—941no—
1361#117—941no—
1362#117—941no—
1363#117—941no—
1364#117—941no—
1365#117C22×D4711yescharacteristic
1366C2×C4⋊C4—471no—
1367C2×C4⋊C4—471no—
1368C2×C4⋊C4—471no—
1369C2×C4⋊C4—941no—
1370C2×C4⋊C4—941no—
1371C2×C22⋊C4—471no—
1372C2×C22⋊C4—471no—
1373C2×C22⋊C4—941no—
1374C2×C22⋊C4—941no—
1375C2×C22⋊C4—941no—
1376C2×C22⋊C4—941no—
1377C2×C22⋊C4—941no—
1378C2×C22⋊C4—941no—
1379C2×C42—471no—
1380C2×C42—941no—
1381#107—471no—
1382#107—471no—
1383#107—471no—
1384#107—471no—
1385#106—471no—
1386#106—471no—
1387#106—471no—
1388#106—471no—
1389C4⋊C8—471no—
1390C4⋊C8—471no—
1391C4⋊C8—471no—
1392C4⋊C8—471no—
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#103C22×D4711yescharacteristic
1406#103C22×D4711yescharacteristic
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⋊C8C22×D4711yescharacteristic
1434C22⋊C8C22×D4711yescharacteristic
1435C22⋊C8C22×D4711yescharacteristic
1436C22⋊C8C22×D4711yescharacteristic
1437#97—471no—
1438#97—471no—
1439C4×C8—471no—
1440C4×C8—471no—
1441C24—21no—
1442C24—471no—
1443C24—941no—
1444C24—941no—
1445C24D4×D4711yescharacteristic
1446#41—22no—
1447#41—22no—
1448#41—22no—
1449#41—22no—
1450#41—41no—
1451#41—41no—
1452#41—41no—
1453#41—41no—
1454#41—44no—
1455#41—41no—
1456#41—41no—
1457#41—44no—
1458#41—942no—
1459#41—942no—
1460#41—1881no—
1461#41—1881no—
1462#41—1881no—
1463#41—1881no—
1464#41—1884no—
1465#41—1881no—
1466#41—1881no—
1467#41—1884no—
1468C2×Q8—21no—
1469C2×Q8—22no—
1470C2×Q8—41no—
1471C2×Q8—471no—
1472C2×Q8—471no—
1473C2×Q8—941no—
1474C2×Q8—941no—
1475C2×Q8—942no—
1476C2×Q8—1881no—
1477C2×Q8—1881no—
1478C2×Q8—1881no—
1479C2×Q8C23×D4711yescharacteristic
1480C2×Q8C23×D4711yescharacteristic
1481C2×Q8C23×D4711yescharacteristic
1482C2×D4—21no—
1483C2×D4—22no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—41no—
1492C2×D4—44no—
1493C2×D4—471no—
1494C2×D4—471no—
1495C2×D4—471no—
1496C2×D4—471no—
1497C2×D4—471no—
1498C2×D4—471no—
1499C2×D4—941no—
1500C2×D4—941no—
1501C2×D4—941no—
1502C2×D4—941no—
1503C2×D4—941no—
1504C2×D4—941no—
1505C2×D4—942no—
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—941no—
1516C2×D4—1881no—
1517C2×D4—1881no—
1518C2×D4—1881no—
1519C2×D4—1884no—
1520C2×D4—1884no—
1521C2×D4—1882no—
1522C2×D4—1884no—
1523C2×D4C23×D4711yescharacteristic
1524C2×D4C23×D4711yescharacteristic
1525C2×D4C23×D4711yescharacteristic
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—21no—
1532C22×C4—41no—
1533C22×C4—41no—
1534C22×C4—44no—
1535C22×C4—471no—
1536C22×C4—471no—
1537C22×C4—471no—
1538C22×C4—471no—
1539C22×C4—471no—
1540C22×C4—471no—
1541C22×C4—471no—
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—1881no—
1555C22×C4—1881no—
1556C22×C4—1884no—
1557C22×C4D4×D4711yescharacteristic
1558C22×C4D4×D4711yescharacteristic
1559C22×C4D4×D4711yescharacteristic
1560C22×C4C23×D4711yescharacteristic
1561C22×C4C23×D4711yescharacteristic
1562C22×C4C23×D4711yescharacteristic
1563Q16—22no—
1564Q16—41no—
1565Q16—942no—
1566Q16—1881no—
1567Q16—1881no—
1568Q16—1881no—
1569SD16—22no—
1570SD16—22no—
1571SD16—41no—
1572SD16—41no—
1573SD16—942no—
1574SD16—942no—
1575SD16—1881no—
1576SD16—1881no—
1577SD16—1881no—
1578SD16—1881no—
1579SD16—1881no—
1580SD16—1881no—
1581D8—22no—
1582D8—41no—
1583D8—942no—
1584D8—1881no—
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—471no—
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⋊C4—941no—
1633C4⋊C4C23×D4711yescharacteristic
1634C4⋊C4C23×D4711yescharacteristic
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—471no—
1641C22⋊C4—471no—
1642C22⋊C4—471no—
1643C22⋊C4—471no—
1644C22⋊C4—471no—
1645C22⋊C4—471no—
1646C22⋊C4—471no—
1647C22⋊C4—471no—
1648C22⋊C4—941no—
1649C22⋊C4—941no—
1650C22⋊C4—941no—
1651C22⋊C4—941no—
1652C22⋊C4—941no—
1653C22⋊C4—941no—
1654C22⋊C4—941no—
1655C22⋊C4—941no—
1656C22⋊C4—941no—
1657C22⋊C4—941no—
1658C22⋊C4—941no—
1659C22⋊C4—941no—
1660C22⋊C4—941no—
1661C22⋊C4—941no—
1662C22⋊C4—941no—
1663C22⋊C4—941no—
1664C22⋊C4—941no—
1665C22⋊C4—941no—
1666C22⋊C4—941no—
1667C22⋊C4—941no—
1668C22⋊C4—941no—
1669C22⋊C4—941no—
1670C22⋊C4—941no—
1671C22⋊C4—941no—
1672C22⋊C4—941no—
1673C22⋊C4—941no—
1674C22⋊C4—941no—
1675C22⋊C4—941no—
1676C22⋊C4—941no—
1677C22⋊C4—941no—
1678C42—21no—
1679C42—471no—
1680C42—471no—
1681C42—471no—
1682C42—471no—
1683C42—941no—
1684C42—941no—
1685C42—941no—
1686C42—941no—
1687C42—941no—
1688C42—941no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—41no—
1693C23—41no—
1694C23—41no—
1695C23—42no—
1696C23—42no—
1697C23—81no—
1698C23—471no—
1699C23—471no—
1700C23—942no—
1701C23—941no—
1702C23—941no—
1703C23—3761no—
1704C23—3761no—
1705C23—3761no—
1706C23—1881no—
1707C23—1881no—
1708C23—1882no—
1709C23—1882no—
1710C23—1882no—
1711C23C2×D4×D4711yescharacteristic
1712C23C2×D4×D4711yescharacteristic
1713C23C2×D4×D4711yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—42no—
1720Q8—941no—
1721Q8—941no—
1722Q8—941no—
1723Q8—941no—
1724Q8—3761no—
1725Q8—1882no—
1726Q8#1309406912yes—
1727D4—24no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—42no—
1734D4—42no—
1735D4—42no—
1736D4—42no—
1737D4—42no—
1738D4—81no—
1739D4—81no—
1740D4—942no—
1741D4—942no—
1742D4—941no—
1743D4—941no—
1744D4—941no—
1745D4—941no—
1746D4—3761no—
1747D4—3761no—
1748D4—3761no—
1749D4—3761no—
1750D4—3761no—
1751D4—3761no—
1752D4—1882no—
1753D4—1882no—
1754D4—1881no—
1755D4—1881no—
1756D4—1882no—
1757D4—1882no—
1758D4—1882no—
1759D4—1882no—
1760D4—1882no—
1761D4—1882no—
1762D4—1882no—
1763D4—1882no—
1764D4#1309406912yes—
1765C2×C4—24no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—42no—
1781C2×C4—42no—
1782C2×C4—42no—
1783C2×C4—42no—
1784C2×C4—81no—
1785C2×C4—471no—
1786C2×C4—471no—
1787C2×C4—471no—
1788C2×C4—471no—
1789C2×C4—471no—
1790C2×C4—471no—
1791C2×C4—941no—
1792C2×C4—941no—
1793C2×C4—941no—
1794C2×C4—941no—
1795C2×C4—941no—
1796C2×C4—941no—
1797C2×C4—941no—
1798C2×C4—941no—
1799C2×C4—941no—
1800C2×C4—941no—
1801C2×C4—3761no—
1802C2×C4—3761no—
1803C2×C4—3761no—
1804C2×C4—3761no—
1805C2×C4—3761no—
1806C2×C4—3761no—
1807C2×C4—1881no—
1808C2×C4—1881no—
1809C2×C4—1882no—
1810C2×C4—1882no—
1811C2×C4—1882no—
1812C2×C4—1882no—
1813C2×C4—1881no—
1814C2×C4—1881no—
1815C2×C4—1881no—
1816C2×C4—1882no—
1817C2×C4—1882no—
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—21no—
1837C22—21no—
1838C22—22no—
1839C22—21no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—82no—
1849C22—84no—
1850C22—472no—
1851C22—941no—
1852C22—941no—
1853C22—941no—
1854C22—941no—
1855C22—941no—
1856C22—3764no—
1857C22—3762no—
1858C22—1881no—
1859C22—1881no—
1860C22—1881no—
1861C22—1881no—
1862C22—1881no—
1863C22—1881no—
1864C22—7522no—
1865C22C22×D4×D4711yescharacteristic
1866C4—21no—
1867C4—22no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—941no—
1875C4—941no—
1876C4—941no—
1877C4—941no—
1878C4—941no—
1879C4—941no—
1880C4—1881no—
1881C4—1881no—
1882C4—1881no—
1883C4—1881no—
1884C4—1881no—
1885C4—1881no—
1886C4C2×#1309406911yescharacteristic
1887C4C2×#1309406911yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—42no—
1892C2—81no—
1893C2—81no—
1894C2—942no—
1895C2—3761no—
1896C2—3761no—
1897C2—1881no—
1898C2#2025701711yescharacteristic
1899C2#575×D4711yescharacteristic
1900C2#2025816111yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3005C2
socleC22×C47C23×D4
hypercenter#3005D47
hypocenterC47#61606
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3005

Complements

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

NH ≅ G/Ntype
1. #20257216C2semidirect
2. #41×C22⋊D47C2semidirect
3. #20255652C2semidirect
4. #20255600C2semidirect
5. #20255560C2semidirect
6. #20255530C2semidirect
7. #20255518C2semidirect
8. #20255488C2semidirect
9. #20255283C2semidirect
10. #20255231C2semidirect
11. #20255127C2semidirect
12. #20255093C2semidirect
13. #20255013C2semidirect
14. #20254993C2semidirect
15. #20254952C2semidirect
16. #20254921C2semidirect
17. #20254906C2semidirect
18. #20254877C2semidirect
19. #20254423C2semidirect
20. #20254367C2semidirect
21. #20254230C2semidirect
22. #20254216C2semidirect
23. #20254176C2semidirect
24. #20254151C2semidirect
25. #20253498C2semidirect
26. #20253399C2semidirect
27. #20252637C2semidirect
28. #20252606C2semidirect
29. #452×D47C2semidirect
30. #20252424C2semidirect
31. C47×#3005C2semidirect
33. C2×#13094051C22semidirect
34. C2×#13094048C22semidirect
35. C2×#13094044C22semidirect
36. C2×#13094044C22semidirect
37. C2×Q16×D47C22semidirect
38. C2×SD16×D47C22semidirect
40. #15689820C22semidirect
43. #15689812C22semidirect
44. #15689807C22semidirect
48. Q8×C22⋊D47C22semidirect
50. #15689783C22semidirect
52. #15689780C22semidirect
55. #15689770C22semidirect
59. #15689761C22semidirect
60. #15689761C22semidirect
62. D4×C22⋊D47C22semidirect
67. #15689669C22semidirect
68. #15689659C22semidirect
69. #15689654C22semidirect
71. #15689634C22semidirect
72. #15689634C22semidirect
75. C22⋊Q8×D47C22semidirect
76. #121×D47C22semidirect
78. #41×Dic47C22semidirect
81. #15689514C22semidirect
82. #15689511C22semidirect
83. #15689508C22semidirect
84. #15689504C22semidirect
85. #15689490C22semidirect
86. #15689486C22semidirect
87. #15689479C22semidirect
88. #15689476C22semidirect
89. #15689465C22semidirect
90. #15689465C22semidirect
91. #15689464C22semidirect
92. #15689461C22semidirect
93. #15689457C22semidirect
94. #15689457C22semidirect
95. #15689448C22semidirect
96. #15689448C22semidirect
97. #15689447C22semidirect
98. #15689444C22semidirect
99. #15689440C22semidirect
100. #15689440C22semidirect
101. #15689432C22semidirect
102. #15689432C22semidirect
103. #15689425C22semidirect
104. #15689425C22semidirect
105. #15689381C22semidirect
106. #15689380C22semidirect
107. #15689378C22semidirect
108. #15689376C22semidirect
109. #15689369C22semidirect
110. #15689369C22semidirect
111. #15689368C22semidirect
112. #15689366C22semidirect
113. #15689362C22semidirect
114. #15689358C22semidirect
115. #15689357C22semidirect
116. #15689356C22semidirect
117. #15689355C22semidirect
118. #15689354C22semidirect
119. #15689350C22semidirect
120. #15689349C22semidirect
121. #15689348C22semidirect
122. #15689347C22semidirect
123. #15689344C22semidirect
124. #15689343C22semidirect
125. #15689340C22semidirect
126. #15689340C22semidirect
127. #15689336C22semidirect
128. #15689336C22semidirect
129. #15689331C22semidirect
130. #15689327C22semidirect
131. #15689321C22semidirect
132. #15689317C22semidirect
133. #15689288C22semidirect
134. #15689287C22semidirect
135. #15689287C22semidirect
136. #15689286C22semidirect
137. #15689285C22semidirect
138. #15689285C22semidirect
139. #15689285C22semidirect
140. #15689284C22semidirect
141. #15689283C22semidirect
142. #15689282C22semidirect
143. #15689279C22semidirect
144. #15689277C22semidirect
145. #15689274C22semidirect
146. #15689272C22semidirect
147. #15689270C22semidirect
148. #15689270C22semidirect
150. #15689268C22semidirect
151. #15689268C22semidirect
152. #15689266C22semidirect
153. #15689263C22semidirect
154. #15689262C22semidirect
155. #15689260C22semidirect
156. #15689260C22semidirect
157. #15689258C22semidirect
158. #15689257C22semidirect
159. #15689255C22semidirect
160. #15689255C22semidirect
161. #15689232C22semidirect
162. #15689230C22semidirect
163. #15689226C22semidirect
164. #15689224C22semidirect
165. #15689215C22semidirect
166. #15689214C22semidirect
167. SD16×Dic47C22semidirect
168. D8×Dic47C22semidirect
169. #15689199C22semidirect
170. #15689199C22semidirect
171. #15689192C22semidirect
172. #15689192C22semidirect
173. #15689191C22semidirect
174. #15689191C22semidirect
175. (C22⋊D47)⋊C8C22semidirect
176. (C22⋊D47)⋊C8C22semidirect
177. #15689177C22semidirect
178. #15689173C22semidirect
179. #15689123C22semidirect
180. #15689121C22semidirect
181. #15689119C22semidirect
182. #15689119C22semidirect
183. #103×D47C22semidirect
184. #102×D47C22semidirect
185. #15689085C22semidirect
186. C2×C22⋊(C47⋊C8)C22semidirect
187. C22⋊C8×D47C22semidirect
188. C22×#41×C47C22semidirect
189. C2×#137×C47C22semidirect
190. C2×AGL(1,ℤ/8)×C47C22semidirect
191. C47×#525C22semidirect
192. C47×#452C22semidirect
193. C47×#452C22semidirect
194. C47×#452C22semidirect
195. C47×#452C22semidirect
197. C47×#449C22semidirect
198. C47×#449C22semidirect
199. C47×#449C22semidirect
200. C47×#419C22semidirect
201. C47×#418C22semidirect
202. C47×#407C22semidirect
965. #3005D47semidirect
983. C22×#41C2×D47semidirect
984. C2×#137C2×D47semidirect
987. C2×AGL(1,ℤ/8)C2×D47semidirect
1028. #525C2×D47semidirect
1097. #452C2×D47semidirect
1098. #452C2×D47semidirect
1099. #452C2×D47semidirect
1100. #452C2×D47semidirect
1112. #449C2×D47semidirect
1113. #449C2×D47semidirect
1114. #449C2×D47semidirect
1141. #419C2×D47semidirect
1142. #418C2×D47semidirect
1150. #407C2×D47semidirect
1153. C47#61606semidirect

Maximal subgroups

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

subgroupindex
#202572162
#41×C22⋊D472
#202556522
#202556002
#202555602
#202555302
#202555182
#202554882
#202552832
#202552312
#202551272
#202550932
#202550132
#202549932
#202549522
#202549212
#202549062
#202548772
#202544232
#202543672
#202542302
#202542162
#202541762
#202541512
#202534982
#202533992
#202526372
#202526062
#452×D472
#202524242
C47×#30052
#6160647