Finite Group Databasebeta

← #27101754

Subgroups — #27101754

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#20257227C211yesmaximal, characteristic, complemented
2D4×#10625350C211yesmaximal, characteristic, complemented
3#20255658C211yesmaximal, characteristic, complemented
4#20255606C211yesmaximal, characteristic, complemented
5#20255561C211yesmaximal, characteristic, complemented
6#20255531C211yesmaximal, characteristic, complemented
7#20255516C211yesmaximal, characteristic, complemented
8#20255486C211yesmaximal, characteristic, complemented
9#20255292C211yesmaximal, characteristic, complemented
10#20255240C211yesmaximal, characteristic, complemented
11#20255131C211yesmaximal, characteristic, complemented
12#20255100C211yesmaximal, characteristic, complemented
13#20255024C211yesmaximal, characteristic, complemented
14#20255000C211yesmaximal, characteristic, complemented
15#20254963C211yesmaximal, characteristic, complemented
16#20254933C211yesmaximal, characteristic, complemented
17#20254918C211yesmaximal, characteristic, complemented
18#20254888C211yesmaximal, characteristic, complemented
19#20254427C211yesmaximal, characteristic, complemented
20#20254366C211yesmaximal, characteristic, complemented
21#20254230C211yesmaximal, characteristic, complemented
22#20254220C211yesmaximal, characteristic, complemented
23#20254181C211yesmaximal, characteristic, complemented
24#20254155C211yesmaximal, characteristic, complemented
25#20253499C211yesmaximal, characteristic, complemented
26#20253408C211yesmaximal, characteristic, complemented
27#20252642C211yesmaximal, characteristic, complemented
28#20252633C211yesmaximal, characteristic, complemented
29#20252610C211yesmaximal, characteristic, complemented
30C2×#15689287C211yesmaximal, characteristic, complemented
31C47×#2974C211yesmaximal, characteristic, complemented
32C22×#10625350C2211yescharacteristic
33C22×#10625350C2211yescharacteristic, complemented
34C2×#13094057C2211yescharacteristic, complemented
35C2×#13094052C2211yescharacteristic, complemented
36C2×#13094052C2211yescharacteristic, complemented
37C2×#13094052C2211yescharacteristic, complemented
38C2×#13094046C2211yescharacteristic, complemented
39C2×#13094046C2211yescharacteristic, complemented
40C22×Dic188C2211yescharacteristic, complemented
41C22×#10625325C2211yescharacteristic, complemented
42#15689822—21no—
43#15689822—21no—
44#15689819C2211yescharacteristic
45#15689819C2211yescharacteristic, complemented
46#15689813C2211yescharacteristic, complemented
47#15689813C2211yescharacteristic, complemented
48#15689802—21no—
49#15689802—21no—
50#15689794C2211yescharacteristic
51D4×Dic94C2211yescharacteristic, complemented
52#15689782C2211yescharacteristic
53#15689782C2211yescharacteristic
54#15689782C2211yescharacteristic, complemented
55#15689782C2211yescharacteristic, complemented
56#15689778C2211yescharacteristic
57#15689774—21no—
58#15689769C2211yescharacteristic
59#15689769C2211yescharacteristic, complemented
60#15689769C2211yescharacteristic, complemented
61#15689769C2211yescharacteristic, complemented
62#15689763—21no—
63#15689763—21no—
64D4×D188C2211yescharacteristic, complemented
65D4×C22⋊D47—21no—
66#15689720—21no—
67#15689711—21no—
68#15689682—21no—
69#15689673C2211yescharacteristic, complemented
70#15689670—21no—
71#15689657C2211yescharacteristic, complemented
72#15689657C2211yescharacteristic, complemented
73#15689634C2211yescharacteristic
74#15689634C2211yescharacteristic, complemented
75#15689634C2211yescharacteristic, complemented
76#15689634C2211yescharacteristic, complemented
77#15689632—21no—
78#15689632—21no—
79C2×#13094003C2211yescharacteristic, complemented
80C2×#13093998C2211yescharacteristic, complemented
81#15689596—21no—
82C4×#10625350C2211yescharacteristic, complemented
83C4×D4×D47—21no—
84#15689517C2211yescharacteristic, complemented
85#15689512C2211yescharacteristic, complemented
86#15689507C2211yescharacteristic, complemented
87#15689507C2211yescharacteristic, complemented
88#15689492C2211yescharacteristic, complemented
89#15689488C2211yescharacteristic, complemented
90#15689478C2211yescharacteristic, complemented
91#15689478C2211yescharacteristic, complemented
92#15689465C2211yescharacteristic, complemented
93#15689465C2211yescharacteristic, complemented
94#15689465C2211yescharacteristic, complemented
95#15689465C2211yescharacteristic, complemented
96#15689459C2211yescharacteristic, complemented
97#15689459C2211yescharacteristic, complemented
98#15689448C2211yescharacteristic, complemented
99#15689448C2211yescharacteristic, complemented
100#15689448C2211yescharacteristic, complemented
101#15689448C2211yescharacteristic, complemented
102#15689442C2211yescharacteristic, complemented
103#15689442C2211yescharacteristic, complemented
104#15689431C2211yescharacteristic, complemented
105#15689431C2211yescharacteristic, complemented
106#15689424C2211yescharacteristic, complemented
107#15689424C2211yescharacteristic, complemented
108#15689381C2211yescharacteristic, complemented
109#15689381C2211yescharacteristic, complemented
110#15689381C2211yescharacteristic, complemented
111#15689376C2211yescharacteristic, complemented
112#15689369C2211yescharacteristic, complemented
113#15689369C2211yescharacteristic, complemented
114#15689369C2211yescharacteristic, complemented
115#15689369C2211yescharacteristic, complemented
116#15689364C2211yescharacteristic, complemented
117#15689359C2211yescharacteristic, complemented
118#15689359C2211yescharacteristic, complemented
119#15689359C2211yescharacteristic, complemented
120#15689352C2211yescharacteristic, complemented
121#15689352C2211yescharacteristic, complemented
122#15689352C2211yescharacteristic, complemented
123#15689352C2211yescharacteristic, complemented
124#15689346C2211yescharacteristic, complemented
125#15689346C2211yescharacteristic, complemented
126#15689346C2211yescharacteristic, complemented
127#15689346C2211yescharacteristic, complemented
128#15689339C2211yescharacteristic, complemented
129#15689339C2211yescharacteristic, complemented
130#15689339C2211yescharacteristic, complemented
131#15689339C2211yescharacteristic, complemented
132#15689334C2211yescharacteristic, complemented
133#15689329C2211yescharacteristic, complemented
134#15689324C2211yescharacteristic, complemented
135#15689319C2211yescharacteristic, complemented
136#15689287C2211yescharacteristic, complemented
137#15689287C2211yescharacteristic, complemented
138#15689287C2211yescharacteristic, complemented
139#15689287C2211yescharacteristic, complemented
140#15689287C2211yescharacteristic, complemented
141#15689287C2211yescharacteristic, complemented
142#15689287C2211yescharacteristic, complemented
143#15689287C2211yescharacteristic, complemented
144#15689287C2211yescharacteristic, complemented
145#15689287C2211yescharacteristic, complemented
146#15689287C2211yescharacteristic, complemented
147#15689287C2211yescharacteristic, complemented
148#15689287C2211yescharacteristic, complemented
149#15689287C2211yescharacteristic, complemented
150#15689281C2211yescharacteristic, complemented
151#15689281C2211yescharacteristic, complemented
152#15689276C2211yescharacteristic, complemented
153#15689276C2211yescharacteristic, complemented
154#15689270C2211yescharacteristic
155#15689270C2211yescharacteristic
156#15689270C2211yescharacteristic, complemented
157#15689270C2211yescharacteristic, complemented
158#15689270C2211yescharacteristic, complemented
159#15689270C2211yescharacteristic, complemented
160#15689270C2211yescharacteristic, complemented
161#15689270C2211yescharacteristic, complemented
162#15689270C2211yescharacteristic, complemented
163#15689270C2211yescharacteristic, complemented
164#15689264C2211yescharacteristic, complemented
165#15689264C2211yescharacteristic, complemented
166#15689264C2211yescharacteristic, complemented
167#15689264C2211yescharacteristic, complemented
168#15689259C2211yescharacteristic, complemented
169#15689259C2211yescharacteristic, complemented
170#15689259C2211yescharacteristic, complemented
171#15689259C2211yescharacteristic, complemented
172#15689236C2211yescharacteristic, complemented
173#15689231C2211yescharacteristic, complemented
174#15689225C2211yescharacteristic, complemented
175#15689225C2211yescharacteristic, complemented
176C4×Dic188C2211yescharacteristic, complemented
177C4×#10625325C2211yescharacteristic, complemented
178C4×#10625325C2211yescharacteristic, complemented
179C4×D376C2211yescharacteristic, complemented
180#15689133C2211yescharacteristic, complemented
181#15689129C2211yescharacteristic, complemented
182#15689125C2211yescharacteristic, complemented
183#15689125C2211yescharacteristic, complemented
184#15689120C2211yescharacteristic, complemented
185#15689120C2211yescharacteristic, complemented
186C2×#13093949C2211yescharacteristic, complemented
187C2×#13093946C2211yescharacteristic, complemented
188C2×C4×D4×C47C2211yescharacteristic
189C47×#436C2211yescharacteristic, complemented
190C47×#436C2211yescharacteristic, complemented
191C47×#435C2211yescharacteristic, complemented
192C47×#435C2211yescharacteristic, complemented
193C47×#435C2211yescharacteristic, complemented
194C47×#435C2211yescharacteristic, complemented
195C8×D4×C47C2211yescharacteristic, complemented
196C8×D4×C47C2211yescharacteristic, complemented
197C47×#432C2211yescharacteristic, complemented
198C47×#431C2211yescharacteristic, complemented
199C47×#407C2211yescharacteristic, complemented
200C47×#407C2211yescharacteristic, complemented
201C2×C22⋊C8×C47C2211yescharacteristic, complemented
202C2×C22⋊C8×C47C2211yescharacteristic, complemented
203C2×#10625350—21no—
204C2×#10625350—21no—
205C2×#10625350—21no—
206C2×#10625350—21no—
207C2×#10625350—42no—
208C2×#10625350—42no—
209C2×#10625350—42no—
210C2×#10625350—42no—
211C2×#10625350C2311yescharacteristic
212C2×#10625350C2311yescharacteristic
213C2×#10625350C2311yescharacteristic
214C2×#10625350C2311yescharacteristic
215C2×#10625350C2311yescharacteristic
216C2×#10625350C2311yescharacteristic
217C2×#10625350C2311yescharacteristic
218C2×#10625350C2311yescharacteristic
219C2×#10625350C2311yescharacteristic
220C22×Dic94C2311yescharacteristic
221C22×Dic94C2311yescharacteristic
222C22×Dic94C2311yescharacteristic
223C22×D188C2311yescharacteristic
224C22×D188C2311yescharacteristic
225C22×D188C2311yescharacteristic
226C22×C22⋊D47—21no—
227C22×C22⋊D47—21no—
228C22×C22⋊D47—21no—
229C2×D4×D47—21no—
230C22×C4×D47—21no—
231C22×C4×D47—21no—
232#13094057—42no—
233#13094052—42no—
234#13094052—42no—
235#13094052—42no—
236#13094046—42no—
237#13094046—42no—
238C2×Dic188—42no—
239C2×Dic188C2311yescharacteristic
240C2×Dic188C2311yescharacteristic
241C2×Dic188C2311yescharacteristic
242C2×Dic188C2311yescharacteristic
243C2×Dic188C2311yescharacteristic
244C2×Dic188C2311yescharacteristic
245C2×#10625325—42no—
246C2×#10625325C2311yescharacteristic
247C2×#10625325C2311yescharacteristic
248C2×#10625325C2311yescharacteristic
249C2×#10625325C2311yescharacteristic
250C2×#10625325C2311yescharacteristic
251C2×#10625325C2311yescharacteristic
252C2×#10625325C2311yescharacteristic
253C2×#10625325C2311yescharacteristic
254C2×#10625325C2311yescharacteristic
255C2×#10625325C2311yescharacteristic
256C2×#10625325C2311yescharacteristic
257C2×#10625325C2311yescharacteristic
258C2×D376C2311yescharacteristic
259C2×D376C2311yescharacteristic
260C2×D376C2311yescharacteristic
261C2×D376C2311yescharacteristic
262C2×D376C2311yescharacteristic
263C2×D376C2311yescharacteristic
264#13094024C2311yescharacteristic
265#13094023—21no—
266#13094021C2311yescharacteristic
267#13094020—21no—
268#13094019—21no—
269#13094019—21no—
270#13094018—21no—
271#13094018—21no—
272#13094017—21no—
273#13094017—21no—
274#13094016C2311yescharacteristic
275#13094016C2311yescharacteristic
276#13094014—21no—
277#13094014—21no—
278#13094012C2311yescharacteristic
279#13094012C2311yescharacteristic
280#13094012C2311yescharacteristic
281#13094012C2311yescharacteristic
282#13094010—21no—
283#13094010—21no—
284#13094010—21no—
285#13094010—21no—
286#13094009—21no—
287#13094009—21no—
288#13094009—21no—
289#13094009—21no—
290#13094007—21no—
291#13094007—21no—
292#13094007—21no—
293#13094007—21no—
294#13094007—21no—
295#13094007—21no—
296#13094006—21no—
297#13094006—21no—
298#13094006—21no—
299#13094006—21no—
300#13094005—21no—
301#13094005—21no—
302#13094003—21no—
303#13094003—21no—
304#13094003C2311yescharacteristic
305#13094003C2311yescharacteristic
306#13094003C2311yescharacteristic
307#13094003C2311yescharacteristic
308#13094003C2311yescharacteristic
309#13094003C2311yescharacteristic
310#13094003C2311yescharacteristic
311#13094003C2311yescharacteristic
312#13094003C2311yescharacteristic
313#13094003C2311yescharacteristic
314#13094002—21no—
315#13094002—21no—
316#13094002—21no—
317#13094002—21no—
318#13094001—21no—
319#13094001—21no—
320#13093999—21no—
321#13093998—21no—
322#13093998—21no—
323#13093998—21no—
324#13093998—21no—
325#13093998C2311yescharacteristic
326#13093998C2311yescharacteristic
327#13093998C2311yescharacteristic
328#13093998C2311yescharacteristic
329#13093998C2311yescharacteristic
330#13093998C2311yescharacteristic
331#13093998C2311yescharacteristic
332#13093998C2311yescharacteristic
333#13093998C2311yescharacteristic
334#13093998C2311yescharacteristic
335#13093997—21no—
336#13093997—21no—
337#13093997—21no—
338#13093997—21no—
339#13093997—21no—
340#13093997—21no—
341#13093996—21no—
342#13093996—21no—
343#13093996—21no—
344#13093996—21no—
345#13093996—21no—
346#13093996—21no—
347#13093995—21no—
348#13093994—21no—
349#13093994—21no—
350#13093993—21no—
351#13093993—21no—
352#13093993—21no—
353#13093993—21no—
354#13093992—21no—
355#13093992—21no—
356#13093992—21no—
357#13093992—21no—
358C4×Dic94C2311yescharacteristic
359C4×Dic94C2311yescharacteristic
360C4×Dic94C2311yescharacteristic
361C4×Dic94C2311yescharacteristic
362C4×D188—21no—
363C4×D188—21no—
364C4×D188C2311yescharacteristic
365C4×D188C2311yescharacteristic
366C4×D188C2311yescharacteristic
367C4×D188C2311yescharacteristic
368D4×Dic47—21no—
369#13093986—21no—
370C4×C22⋊D47—21no—
371C4×C22⋊D47—21no—
372C4×C22⋊D47—21no—
373C4×C22⋊D47—21no—
374C4×C22⋊D47—21no—
375C4×C22⋊D47—21no—
376C4×C22⋊D47—21no—
377C4×C22⋊D47—21no—
378C4×C22⋊D47—21no—
379C4×C22⋊D47—21no—
380C4×C22⋊D47—21no—
381C4×C22⋊D47—21no—
382(C22⋊D47)⋊C4—21no—
383(C22⋊D47)⋊C4—21no—
384(C22⋊D47)⋊C4—21no—
385(C22⋊D47)⋊C4—21no—
386(C22⋊D47)⋊C4—21no—
387(C22⋊D47)⋊C4—21no—
388#13093983C2311yescharacteristic
389#13093983C2311yescharacteristic
390#13093983C2311yescharacteristic
391#13093981—21no—
392#13093981—21no—
393#13093981—21no—
394#13093980—21no—
395#13093980—21no—
396C2×C4⋊Dic47C2311yescharacteristic
397C2×C4⋊Dic47C2311yescharacteristic
398C2×Dic47⋊C4—21no—
399C4⋊C4×D47—21no—
400C2×C22⋊Dic47—21no—
401C2×(C2×D47)⋊C4—21no—
402C22⋊C4×D47—21no—
403C22⋊C4×D47—21no—
404C22⋊C4×D47—21no—
405C22⋊C4×D47—21no—
406C42×D47—21no—
407#13093958C2311yescharacteristic
408#13093958C2311yescharacteristic
409#13093958C2311yescharacteristic
410#13093958C2311yescharacteristic
411#13093956C2311yescharacteristic
412#13093956C2311yescharacteristic
413#13093956C2311yescharacteristic
414#13093956C2311yescharacteristic
415#13093949C2311yescharacteristic
416#13093949C2311yescharacteristic
417#13093949C2311yescharacteristic
418#13093949C2311yescharacteristic
419#13093949C2311yescharacteristic
420#13093949C2311yescharacteristic
421#13093949C2311yescharacteristic
422#13093949C2311yescharacteristic
423#13093949C2311yescharacteristic
424#13093949C2311yescharacteristic
425#13093949C2311yescharacteristic
426#13093949C2311yescharacteristic
427#13093949C2311yescharacteristic
428#13093949C2311yescharacteristic
429#13093949C2311yescharacteristic
430#13093949C2311yescharacteristic
431#13093946C2311yescharacteristic
432#13093946C2311yescharacteristic
433#13093946C2311yescharacteristic
434#13093946C2311yescharacteristic
435#13093946C2311yescharacteristic
436#13093946C2311yescharacteristic
437#13093946C2311yescharacteristic
438#13093946C2311yescharacteristic
439#13093946C2311yescharacteristic
440#13093946C2311yescharacteristic
441#13093946C2311yescharacteristic
442#13093946C2311yescharacteristic
443#13093946C2311yescharacteristic
444#13093946C2311yescharacteristic
445#13093946C2311yescharacteristic
446#13093946C2311yescharacteristic
447C22×D4×C47D411yescharacteristic
448C23×C4×C47C2311yescharacteristic
449C23×C4×C47C2311yescharacteristic
450C2×M16×C47C2311yescharacteristic
451C2×M16×C47C2311yescharacteristic
452C2×M16×C47C2311yescharacteristic
453C2×M16×C47C2311yescharacteristic
454C22×C8×C47C2311yescharacteristic
455C22×C8×C47C2311yescharacteristic
456C22×C8×C47C2311yescharacteristic
457C22×C8×C47C2311yescharacteristic
458C4×D4×C47D411yescharacteristic
459C4×D4×C47D411yescharacteristic
460C4×D4×C47D411yescharacteristic
461C4×D4×C47D411yescharacteristic
462C4×D4×C47C2311yescharacteristic
463C4×D4×C47C2311yescharacteristic
464C4×D4×C47C2311yescharacteristic
465C4×D4×C47C2311yescharacteristic
466C2×C4⋊C4×C47D411yescharacteristic
467C2×C22⋊C4×C47D411yescharacteristic
468C2×C22⋊C4×C47D411yescharacteristic
469C2×C42×C47C2311yescharacteristic
470C4⋊C8×C47C2311yescharacteristic
471C4⋊C8×C47C2311yescharacteristic
472C4⋊C8×C47C2311yescharacteristic
473C4⋊C8×C47C2311yescharacteristic
474C22⋊C8×C47C2311yescharacteristic
475C22⋊C8×C47C2311yescharacteristic
476C22⋊C8×C47C2311yescharacteristic
477C22⋊C8×C47C2311yescharacteristic
478C22⋊C8×C47C2311yescharacteristic
479C22⋊C8×C47C2311yescharacteristic
480C22⋊C8×C47C2311yescharacteristic
481C22⋊C8×C47C2311yescharacteristic
482C22⋊C8×C47C2311yescharacteristic
483C22⋊C8×C47C2311yescharacteristic
484C22⋊C8×C47C2311yescharacteristic
485C22⋊C8×C47C2311yescharacteristic
486#97×C47C2311yescharacteristic
487#97×C47C2311yescharacteristic
488C4×C8×C47C2311yescharacteristic
489C4×C8×C47C2311yescharacteristic
490C24×C47C2×D411yescharacteristic
491C24×C47C2×D411yescharacteristic
492C23×D47—21no—
493C23×D47—21no—
494C23×D47—21no—
495C2×D4×C47—42no—
496C2×D4×C47C2×D411yescharacteristic
497C2×D4×C47C2×D411yescharacteristic
498C2×D4×C47C2×D411yescharacteristic
499C2×D4×C47C2×D411yescharacteristic
500C22×C4×C47—41no—
501C22×C4×C47—41no—
502C22×C4×C47—41no—
503C22×C4×C47—41no—
504C22×C4×C47C2×D411yescharacteristic
505C22×C4×C47C2×D411yescharacteristic
506C22×C4×C47C2×D411yescharacteristic
507C22×C4×C47C2×D411yescharacteristic
508C22×C4×C47C2×D411yescharacteristic
509C22×C4×C47C2×D411yescharacteristic
510C22×C4×C47C2×D411yescharacteristic
511C22×C4×C47C2×D411yescharacteristic
512C22×C4×C47C2411yescharacteristic
513C22×C4×C47C2411yescharacteristic
514C22×C4×C47C2411yescharacteristic
515C22×C4×C47C2411yescharacteristic
516C22×C4×C47C2411yescharacteristic
517C2×C22⋊D47—21no—
518C2×C22⋊D47—21no—
519C2×C22⋊D47—21no—
520C2×C22⋊D47—21no—
521C2×C22⋊D47—21no—
522C2×C22⋊D47—21no—
523C2×C22⋊D47—21no—
524C2×C22⋊D47—21no—
525C2×C22⋊D47—21no—
526C2×C22⋊D47—21no—
527C2×C22⋊D47—21no—
528C2×C22⋊D47—21no—
529C2×C22⋊D47—21no—
530C2×C22⋊D47—21no—
531C2×C22⋊D47—21no—
532C2×C22⋊D47—21no—
533C2×C22⋊D47—21no—
534C2×C22⋊D47—21no—
535C2×C22⋊D47—21no—
536C2×C22⋊D47—44no—
537C2×C22⋊D47—44no—
538C2×C22⋊D47—44no—
539C22×Dic47—21no—
540C22×Dic47—21no—
541C22×Dic47—21no—
542C22×Dic47—21no—
543C22×Dic47—21no—
544D4×D47—44no—
545#10625350—22no—
546#10625350—22no—
547#10625350—22no—
548#10625350—22no—
549#10625350—22no—
550#10625350—22no—
551#10625350—41no—
552#10625350—41no—
553#10625350—41no—
554#10625350—41no—
555#10625350—41no—
556#10625350—41no—
557#10625350—41no—
558#10625350—41no—
559#10625350—41no—
560#10625350—41no—
561#10625350—41no—
562#10625350—41no—
563#10625350—44no—
564#10625350—44no—
565#10625350—44no—
566#10625350—44no—
567C2×D188—22no—
568C2×D188—22no—
569C2×D188—21no—
570C2×D188—21no—
571C2×D188—21no—
572C2×D188—21no—
573C2×D188—21no—
574C2×D188—41no—
575C2×D188—41no—
576C2×D188—41no—
577C2×D188—41no—
578C2×D188C2411yescharacteristic
579C2×D188C2411yescharacteristic
580C2×D188C2411yescharacteristic
581C2×D188C2411yescharacteristic
582C2×D188C2411yescharacteristic
583C2×C4×D47—21no—
584C2×C4×D47—21no—
585C2×C4×D47—21no—
586C2×C4×D47—21no—
587C2×C4×D47—21no—
588C2×C4×D47—21no—
589C2×C4×D47—21no—
590C2×C4×D47—21no—
591C2×C4×D47—21no—
592C2×C4×D47—21no—
593C2×C4×D47—21no—
594C2×C4×D47—21no—
595C2×C4×D47—21no—
596C2×C4×D47—44no—
597C2×C4×D47—44no—
598C2×Dic94—22no—
599C2×Dic94—22no—
600C2×Dic94—21no—
601C2×Dic94—21no—
602C2×Dic94—21no—
603C2×Dic94—41no—
604C2×Dic94—41no—
605C2×Dic94—41no—
606C2×Dic94—41no—
607C2×Dic94C2411yescharacteristic
608C2×Dic94C2411yescharacteristic
609C2×Dic94C2411yescharacteristic
610C2×Dic94C2411yescharacteristic
611C2×Dic94C2411yescharacteristic
612M16×C47—41no—
613M16×C47—41no—
614M16×C47—41no—
615M16×C47—41no—
616C2×C8×C47—41no—
617C2×C8×C47—41no—
618C2×C8×C47—41no—
619C2×C8×C47—41no—
620C2×C8×C47C2411yescharacteristic
621C2×C8×C47C2411yescharacteristic
622C2×C8×C47C2411yescharacteristic
623C2×C8×C47C2411yescharacteristic
624C2×C8×C47C2411yescharacteristic
625C2×C8×C47C2411yescharacteristic
626C2×C8×C47C2411yescharacteristic
627C2×C8×C47C2411yescharacteristic
628C4⋊C4×C47C2×D411yescharacteristic
629C4⋊C4×C47C2×D411yescharacteristic
630C4⋊C4×C47C2×D411yescharacteristic
631C4⋊C4×C47C2×D411yescharacteristic
632C22⋊C4×C47C2×D411yescharacteristic
633C22⋊C4×C47C2×D411yescharacteristic
634C22⋊C4×C47C2×D411yescharacteristic
635C22⋊C4×C47C2×D411yescharacteristic
636C22⋊C4×C47C2×D411yescharacteristic
637C22⋊C4×C47C2×D411yescharacteristic
638C22⋊C4×C47C2×D411yescharacteristic
639C22⋊C4×C47C2×D411yescharacteristic
640C42×C47C2×D411yescharacteristic
641C42×C47C2×D411yescharacteristic
642C42×C47C2411yescharacteristic
643C42×C47C2411yescharacteristic
644C22⋊Dic47—21no—
645C22⋊Dic47—21no—
646C22⋊Dic47—21no—
647C22⋊Dic47—21no—
648C22⋊Dic47—21no—
649C22⋊Dic47—21no—
650C22⋊Dic47—21no—
651C22⋊Dic47—21no—
652C22⋊Dic47—21no—
653C22⋊Dic47—21no—
654C22⋊Dic47—21no—
655C22⋊Dic47—21no—
656C22⋊Dic47—21no—
657(C2×D47)⋊C4—21no—
658(C2×D47)⋊C4—21no—
659(C2×D47)⋊C4—21no—
660(C2×D47)⋊C4—21no—
661(C2×D47)⋊C4—21no—
662(C2×D47)⋊C4—21no—
663(C2×D47)⋊C4—21no—
664(C2×D47)⋊C4—21no—
665(C2×D47)⋊C4—21no—
666(C2×D47)⋊C4—21no—
667(C2×D47)⋊C4—21no—
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—
679C4⋊Dic47—21no—
680C4⋊Dic47—21no—
681C4⋊Dic47—21no—
682C4⋊Dic47—21no—
683C4⋊Dic47C2411yescharacteristic
684C4⋊Dic47C2411yescharacteristic
685C4⋊Dic47C2411yescharacteristic
686C4⋊Dic47C2411yescharacteristic
687C4⋊Dic47C2411yescharacteristic
688C4⋊Dic47C2411yescharacteristic
689Dic47⋊C4—21no—
690Dic47⋊C4—21no—
691Dic47⋊C4—21no—
692Dic47⋊C4—21no—
693Dic47⋊C4—21no—
694Dic47⋊C4—21no—
695Dic47⋊C4—21no—
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—
707C4×Dic47—21no—
708C4×Dic47—21no—
709C4×Dic47—21no—
710C4×Dic47—21no—
711C4×Dic47—21no—
712C4×Dic47—21no—
713C4×Dic47—21no—
714Dic188—22no—
715Dic188—22no—
716Dic188—41no—
717Dic188—41no—
718Dic188—41no—
719Dic188—41no—
720D376—22no—
721D376—22no—
722D376—41no—
723D376—41no—
724D376—41no—
725D376—41no—
726#10625325—22no—
727#10625325—22no—
728#10625325—22no—
729#10625325—22no—
730#10625325—41no—
731#10625325—41no—
732#10625325—41no—
733#10625325—41no—
734#10625325—41no—
735#10625325—41no—
736#10625325—41no—
737#10625325—41no—
738C23×C47—22no—
739C23×C47—41no—
740C23×C47—41no—
741C23×C47—41no—
742C23×C47—41no—
743C23×C47—41no—
744C23×C47C22×D411yescharacteristic
745C23×C47C22×D411yescharacteristic
746C23×C47C22×D411yescharacteristic
747C23×C47C22×D411yescharacteristic
748C23×C47C22×D411yescharacteristic
749C22×D47—21no—
750C22×D47—21no—
751C22×D47—21no—
752C22×D47—21no—
753C22×D47—21no—
754C22×D47—42no—
755C22×D47—42no—
756C22×D47—42no—
757C22×D47—42no—
758C22×D47—42no—
759C22×D47—81no—
760C22×D47—81no—
761C22×D47—81no—
762C22×D47—81no—
763D4×C47—22no—
764D4×C47—22no—
765D4×C47—41no—
766D4×C47—41no—
767C2×C4×C47—21no—
768C2×C4×C47—21no—
769C2×C4×C47—21no—
770C2×C4×C47—21no—
771C2×C4×C47—21no—
772C2×C4×C47—21no—
773C2×C4×C47—21no—
774C2×C4×C47—21no—
775C2×C4×C47—21no—
776C2×C4×C47—21no—
777C2×C4×C47—41no—
778C2×C4×C47—41no—
779C2×C4×C47—41no—
780C2×C4×C47—41no—
781C2×C4×C47—41no—
782C2×C4×C47—41no—
783C2×C4×C47—41no—
784C2×C4×C47—41no—
785C2×C4×C47C22×D411yescharacteristic
786C2×C4×C47C22×D411yescharacteristic
787C2×C4×C47C22×D411yescharacteristic
788C2×C4×C47C22×D411yescharacteristic
789C2×C4×C47C22×D411yescharacteristic
790C2×C4×C47C22×D411yescharacteristic
791C2×C4×C47C22×D411yescharacteristic
792C2×C4×C47C22×D411yescharacteristic
793C2×C4×C47C22×D411yescharacteristic
794C2×C4×C47C2511yescharacteristic
795C22⋊D47—24no—
796C22⋊D47—42no—
797C22⋊D47—42no—
798C22⋊D47—42no—
799C22⋊D47—42no—
800C22⋊D47—42no—
801C22⋊D47—42no—
802C22⋊D47—42no—
803C22⋊D47—42no—
804C22⋊D47—42no—
805C22⋊D47—42no—
806C22⋊D47—42no—
807C22⋊D47—42no—
808C22⋊D47—81no—
809C22⋊D47—81no—
810C22⋊D47—81no—
811C22⋊D47—81no—
812C22⋊D47—81no—
813C22⋊D47—81no—
814C2×Dic47—21no—
815C2×Dic47—21no—
816C2×Dic47—21no—
817C2×Dic47—21no—
818C2×Dic47—21no—
819C2×Dic47—21no—
820C2×Dic47—21no—
821C2×Dic47—21no—
822C2×Dic47—21no—
823C2×Dic47—21no—
824C2×Dic47—21no—
825C2×Dic47—42no—
826C2×Dic47—42no—
827C2×Dic47—42no—
828C2×Dic47—81no—
829C2×Dic47—81no—
830D188—21no—
831D188—21no—
832D188—21no—
833D188—21no—
834D188—21no—
835D188—21no—
836D188—21no—
837D188—21no—
838D188—21no—
839D188—42no—
840D188—42no—
841D188—42no—
842D188—81no—
843D188—81no—
844D188H(5,𝔽2)12yes—
845C4×D47—24no—
846C4×D47—42no—
847C4×D47—42no—
848C4×D47—42no—
849C4×D47—42no—
850C4×D47—42no—
851C4×D47—42no—
852C4×D47—42no—
853C4×D47—81no—
854C4×D47—81no—
855C4×D47—81no—
856C4×D47—81no—
857C4×D47—81no—
858Dic94—21no—
859Dic94—21no—
860Dic94—21no—
861Dic94—21no—
862Dic94—21no—
863Dic94—21no—
864Dic94—21no—
865Dic94—21no—
866Dic94—21no—
867Dic94—42no—
868Dic94—42no—
869Dic94—81no—
870Dic94H(5,𝔽2)12yes—
871C8×C47—21no—
872C8×C47—21no—
873C8×C47—21no—
874C8×C47—21no—
875C8×C47—21no—
876C8×C47—21no—
877C8×C47—21no—
878C8×C47—21no—
879#61606—471nomaximal, Sylow
880C22×C47—21no—
881C22×C47—21no—
882C22×C47—21no—
883C22×C47—21no—
884C22×C47—21no—
885C22×C47—21no—
886C22×C47—21no—
887C22×C47—21no—
888C22×C47—21no—
889C22×C47—21no—
890C22×C47—21no—
891C22×C47—21no—
892C22×C47—21no—
893C22×C47—21no—
894C22×C47—82no—
895C22×C47—82no—
896C22×C47#57512yes—
897C22×C47C23×D411yescharacteristic
898C2×D47—22no—
899C2×D47—41no—
900C2×D47—41no—
901C2×D47—41no—
902C2×D47—41no—
903C2×D47—41no—
904C2×D47—41no—
905C2×D47—41no—
906C2×D47—41no—
907C2×D47—41no—
908C2×D47—41no—
909C2×D47—41no—
910C2×D47—41no—
911C2×D47—41no—
912C2×D47—41no—
913C2×D47—84no—
914C2×D47—84no—
915C2×D47—162no—
916C4×C47—21no—
917C4×C47—21no—
918C4×C47—21no—
919C4×C47—21no—
920C4×C47—21no—
921C4×C47—21no—
922C4×C47—21no—
923C4×C47—21no—
924C4×C47—21no—
925C4×C47C2×H(5,𝔽2)11yescharacteristic
926C4×C47C2×H(5,𝔽2)11yescharacteristic
927Dic47—22no—
928Dic47—41no—
929Dic47—41no—
930Dic47—41no—
931Dic47—41no—
932Dic47—41no—
933Dic47—41no—
934Dic47—41no—
935Dic47—41no—
936Dic47—41no—
937Dic47—41no—
938#3505—471no—
939D4×#41—471no—
940#3327—471no—
941#3323—471no—
942#3320—471no—
943#3318—471no—
944#3317—471no—
945#3315—471no—
946#3301—471no—
947#3297—471no—
948#3285—471no—
949#3282—471no—
950#3275—471no—
951#3273—471no—
952#3270—471no—
953#3268—471no—
954#3267—471no—
955#3265—471no—
956#3219—471no—
957#3212—471no—
958#3197—471no—
959#3196—471no—
960#3191—471no—
961#3188—471no—
962#3111—471no—
963#3102—471no—
964#3006—471no—
965#3005—471no—
966#3002—471no—
967C2×#452—471no—
968#2974D4711yescharacteristic, complemented
969C2×C47—22no—
970C2×C47—41no—
971C2×C47—41no—
972C2×C47—41no—
973C2×C47—41no—
974C2×C47#348411yescharacteristic
975C2×C47C2×#57511yescharacteristic
976C2×C47#358411yescharacteristic
977D47—42no—
978D47—81no—
979D47—81no—
980D47—81no—
981D47—81no—
982C22×#41—471no—
983C22×#41—471no—
984C2×#137—471no—
985C2×AGL(1,ℤ/8)—471no—
986C2×AGL(1,ℤ/8)—471no—
987C2×AGL(1,ℤ/8)—471no—
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—471no—
1027#525—941no—
1028#525—941no—
1029C2×C22⋊Q8—471no—
1030C2×#121—471no—
1031#518—941no—
1032C4×#41—471no—
1033C2×C4×D4—941no—
1034C2×C4×D4C2×D4711yescharacteristic
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#452—471no—
1098#452—471no—
1099#452—471no—
1100#452—471no—
1101#451—471no—
1102#451—471no—
1103#450—471no—
1104#450—471no—
1105#449—471no—
1106#449—471no—
1107#449—471no—
1108#449—471no—
1109#449—471no—
1110#449—471no—
1111#449—471no—
1112#449—471no—
1113#449—471no—
1114#449—471no—
1115#448—471no—
1116#448—471no—
1117#448—471no—
1118#448—471no—
1119#447—471no—
1120#447—471no—
1121#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#436C2×D4711yescharacteristic, complemented
1132#436C2×D4711yescharacteristic, complemented
1133#435C2×D4711yescharacteristic, complemented
1134#435C2×D4711yescharacteristic, complemented
1135#435C2×D4711yescharacteristic, complemented
1136#435C2×D4711yescharacteristic, complemented
1137C8×D4C2×D4711yescharacteristic, complemented
1138C8×D4C2×D4711yescharacteristic, complemented
1139#432C2×D4711yescharacteristic, complemented
1140#431C2×D4711yescharacteristic, complemented
1141#419—471no—
1142#418—471no—
1143#417—471no—
1144#417—471no—
1145#416—471no—
1146#416—471no—
1147C2×#103—471no—
1148C2×#102—471no—
1149#407C2×D4711yescharacteristic, complemented
1150#407C2×D4711yescharacteristic, complemented
1151C2×C22⋊C8C2×D4711yescharacteristic, complemented
1152C2×C22⋊C8C2×D4711yescharacteristic, complemented
1153C47#6160611yescharacteristic, complemented, Sylow
1154C2×#41—471no—
1155C2×#41—471no—
1156C2×#41—471no—
1157C2×#41—471no—
1158C2×#41—471no—
1159C2×#41—471no—
1160C2×#41—471no—
1161C2×#41—471no—
1162C2×#41—471no—
1163C2×#41—941no—
1164C2×#41—941no—
1165C2×#41—941no—
1166C2×#41—941no—
1167C2×#41—1882no—
1168C2×#41—1882no—
1169C2×#41—1882no—
1170C2×#41—1882no—
1171C22×Q8—471no—
1172C22×Q8—471no—
1173C22×Q8—471no—
1174C22×D4—471no—
1175C22×D4—471no—
1176C22×D4—471no—
1177C22×D4—941no—
1178C22×D4—941no—
1179C22×D4—941no—
1180C22×D4—941no—
1181C22×D4D18811yescharacteristic
1182C23×C4—941no—
1183C23×C4—941no—
1184C23×C4C22×D4711yescharacteristic
1185C23×C4C22×D4711yescharacteristic
1186#137—1882no—
1187AGL(1,ℤ/8)—1882no—
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—471no—
1197C2×Q16—471no—
1198C2×Q16—1882no—
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—471no—
1208C2×SD16—471no—
1209C2×SD16—471no—
1210C2×SD16—471no—
1211C2×SD16—1882no—
1212C2×D8—471no—
1213C2×D8—471no—
1214C2×D8—471no—
1215C2×D8—471no—
1216C2×D8—471no—
1217C2×D8—471no—
1218C2×M16C22×D4711yescharacteristic
1219C2×M16C22×D4711yescharacteristic
1220C2×M16C22×D4711yescharacteristic
1221C2×M16C22×D4711yescharacteristic
1222C22×C8C22×D4711yescharacteristic
1223C22×C8C22×D4711yescharacteristic
1224C22×C8C22×D4711yescharacteristic
1225C22×C8C22×D4711yescharacteristic
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—941no—
1249#123—941no—
1250#123—941no—
1251#123—941no—
1252#123—941no—
1253#123—941no—
1254#123—941no—
1255#123—941no—
1256#123—941no—
1257#123—941no—
1258#123—941no—
1259#123—941no—
1260#123—941no—
1261#123—941no—
1262#123—941no—
1263#123—941no—
1264C22⋊Q8—471no—
1265C22⋊Q8—471no—
1266C22⋊Q8—471no—
1267C22⋊Q8—471no—
1268C22⋊Q8—471no—
1269C22⋊Q8—471no—
1270C22⋊Q8—471no—
1271C22⋊Q8—471no—
1272C22⋊Q8—471no—
1273C22⋊Q8—471no—
1274C22⋊Q8—941no—
1275C22⋊Q8—941no—
1276C22⋊Q8—941no—
1277C22⋊Q8—941no—
1278C22⋊Q8—941no—
1279C22⋊Q8—941no—
1280C22⋊Q8—941no—
1281C22⋊Q8—941no—
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—471no—
1291#121—471no—
1292#121—941no—
1293#121—941no—
1294#121—941no—
1295#121—941no—
1296#121—941no—
1297#121—941no—
1298#121—941no—
1299#121—941no—
1300#121—941no—
1301#121—941no—
1302#121—941no—
1303#121—941no—
1304#121—941no—
1305#121—941no—
1306#121—941no—
1307#121—941no—
1308#121—941no—
1309#121—941no—
1310#120—941no—
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—471no—
1325C4×D4—471no—
1326C4×D4—471no—
1327C4×D4—471no—
1328C4×D4—941no—
1329C4×D4—941no—
1330C4×D4—941no—
1331C4×D4—941no—
1332C4×D4—941no—
1333C4×D4—941no—
1334C4×D4—941no—
1335C4×D4—941no—
1336C4×D4—941no—
1337C4×D4—941no—
1338C4×D4—941no—
1339C4×D4—941no—
1340C4×D4—941no—
1341C4×D4—941no—
1342C4×D4—941no—
1343C4×D4—941no—
1344C4×D4—941no—
1345C4×D4—941no—
1346C4×D4—941no—
1347C4×D4—941no—
1348C4×D4—941no—
1349C4×D4—941no—
1350C4×D4D18811yescharacteristic
1351C4×D4D18811yescharacteristic
1352C4×D4D18811yescharacteristic
1353C4×D4D18811yescharacteristic
1354C4×D4C22×D4711yescharacteristic
1355C4×D4C22×D4711yescharacteristic
1356C4×D4C22×D4711yescharacteristic
1357C4×D4C22×D4711yescharacteristic
1358#117—471no—
1359#117—471no—
1360#117—471no—
1361#117—941no—
1362#117—941no—
1363#117—941no—
1364#117—941no—
1365#117—941no—
1366C2×C4⋊C4—471no—
1367C2×C4⋊C4—471no—
1368C2×C4⋊C4—941no—
1369C2×C4⋊C4—941no—
1370C2×C4⋊C4D18811yescharacteristic
1371C2×C22⋊C4—941no—
1372C2×C22⋊C4—941no—
1373C2×C22⋊C4—941no—
1374C2×C22⋊C4—941no—
1375C2×C22⋊C4—941no—
1376C2×C22⋊C4—941no—
1377C2×C22⋊C4D18811yescharacteristic
1378C2×C22⋊C4D18811yescharacteristic
1379C2×C42—941no—
1380C2×C42C22×D4711yescharacteristic
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⋊C8C22×D4711yescharacteristic
1390C4⋊C8C22×D4711yescharacteristic
1391C4⋊C8C22×D4711yescharacteristic
1392C4⋊C8C22×D4711yescharacteristic
1393#103—471no—
1394#103—471no—
1395#103—471no—
1396#103—471no—
1397#103—471no—
1398#103—471no—
1399#103—471no—
1400#103—471no—
1401#103—471no—
1402#103—471no—
1403#103—471no—
1404#103—471no—
1405#103—471no—
1406#103—471no—
1407#103—471no—
1408#103—471no—
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#102—471no—
1422#102—471no—
1423#102—471no—
1424#102—471no—
1425C22⋊C8C22×D4711yescharacteristic
1426C22⋊C8C22×D4711yescharacteristic
1427C22⋊C8C22×D4711yescharacteristic
1428C22⋊C8C22×D4711yescharacteristic
1429C22⋊C8C22×D4711yescharacteristic
1430C22⋊C8C22×D4711yescharacteristic
1431C22⋊C8C22×D4711yescharacteristic
1432C22⋊C8C22×D4711yescharacteristic
1433C22⋊C8C22×D4711yescharacteristic
1434C22⋊C8C22×D4711yescharacteristic
1435C22⋊C8C22×D4711yescharacteristic
1436C22⋊C8C22×D4711yescharacteristic
1437#97C22×D4711yescharacteristic
1438#97C22×D4711yescharacteristic
1439C4×C8C22×D4711yescharacteristic
1440C4×C8C22×D4711yescharacteristic
1441C24—941no—
1442C24—941no—
1443C24—941no—
1444C24C2×D18811yescharacteristic
1445C24C2×D18811yescharacteristic
1446#41—942no—
1447#41—942no—
1448#41—942no—
1449#41—942no—
1450#41—942no—
1451#41—942no—
1452#41—1881no—
1453#41—1881no—
1454#41—1881no—
1455#41—1881no—
1456#41—1881no—
1457#41—1881no—
1458#41—1881no—
1459#41—1881no—
1460#41—1881no—
1461#41—1881no—
1462#41—1881no—
1463#41—1881no—
1464#41—1884no—
1465#41—1884no—
1466#41—1884no—
1467#41—1884no—
1468C2×Q8—471no—
1469C2×Q8—471no—
1470C2×Q8—471no—
1471C2×Q8—471no—
1472C2×Q8—471no—
1473C2×Q8—942no—
1474C2×Q8—942no—
1475C2×Q8—941no—
1476C2×Q8—941no—
1477C2×Q8—941no—
1478C2×Q8—1881no—
1479C2×Q8—1881no—
1480C2×Q8—1881no—
1481C2×Q8—1881no—
1482C2×D4—42no—
1483C2×D4—471no—
1484C2×D4—471no—
1485C2×D4—471no—
1486C2×D4—471no—
1487C2×D4—471no—
1488C2×D4—942no—
1489C2×D4—942no—
1490C2×D4—941no—
1491C2×D4—941no—
1492C2×D4—941no—
1493C2×D4—941no—
1494C2×D4—941no—
1495C2×D4—941no—
1496C2×D4—941no—
1497C2×D4—941no—
1498C2×D4—941no—
1499C2×D4—941no—
1500C2×D4—941no—
1501C2×D4—941no—
1502C2×D4—941no—
1503C2×D4—941no—
1504C2×D4—941no—
1505C2×D4—941no—
1506C2×D4—941no—
1507C2×D4—941no—
1508C2×D4—941no—
1509C2×D4—941no—
1510C2×D4—941no—
1511C2×D4—941no—
1512C2×D4—941no—
1513C2×D4—941no—
1514C2×D4—1881no—
1515C2×D4—1881no—
1516C2×D4—1881no—
1517C2×D4—1881no—
1518C2×D4—1884no—
1519C2×D4—1884no—
1520C2×D4—1884no—
1521C2×D4—1884no—
1522C2×D4C2×D18811yescharacteristic
1523C2×D4C2×D18811yescharacteristic
1524C2×D4C2×D18811yescharacteristic
1525C2×D4C2×D18811yescharacteristic
1526C22×C4—41no—
1527C22×C4—41no—
1528C22×C4—41no—
1529C22×C4—41no—
1530C22×C4—941no—
1531C22×C4—941no—
1532C22×C4—941no—
1533C22×C4—941no—
1534C22×C4—941no—
1535C22×C4—941no—
1536C22×C4—941no—
1537C22×C4—941no—
1538C22×C4—941no—
1539C22×C4—941no—
1540C22×C4—941no—
1541C22×C4—941no—
1542C22×C4—941no—
1543C22×C4—941no—
1544C22×C4—941no—
1545C22×C4—941no—
1546C22×C4—941no—
1547C22×C4—941no—
1548C22×C4—1884no—
1549C22×C4—1884no—
1550C22×C4C2×D18811yescharacteristic
1551C22×C4C2×D18811yescharacteristic
1552C22×C4C2×D18811yescharacteristic
1553C22×C4C2×D18811yescharacteristic
1554C22×C4C2×D18811yescharacteristic
1555C22×C4C2×D18811yescharacteristic
1556C22×C4C2×D18811yescharacteristic
1557C22×C4C2×D18811yescharacteristic
1558C22×C4C23×D4711yescharacteristic
1559C22×C4C23×D4711yescharacteristic
1560C22×C4C23×D4711yescharacteristic
1561C22×C4C23×D4711yescharacteristic
1562C22×C4C23×D4711yescharacteristic
1563Q16—942no—
1564Q16—942no—
1565Q16—1881no—
1566Q16—1881no—
1567Q16—1881no—
1568Q16—1881no—
1569SD16—942no—
1570SD16—942no—
1571SD16—942no—
1572SD16—942no—
1573SD16—1881no—
1574SD16—1881no—
1575SD16—1881no—
1576SD16—1881no—
1577SD16—1881no—
1578SD16—1881no—
1579SD16—1881no—
1580SD16—1881no—
1581D8—942no—
1582D8—942no—
1583D8—1881no—
1584D8—1881no—
1585D8—1881no—
1586D8—1881no—
1587M16—41no—
1588M16—41no—
1589M16—41no—
1590M16—41no—
1591C2×C8—41no—
1592C2×C8—41no—
1593C2×C8—41no—
1594C2×C8—41no—
1595C2×C8C23×D4711yescharacteristic
1596C2×C8C23×D4711yescharacteristic
1597C2×C8C23×D4711yescharacteristic
1598C2×C8C23×D4711yescharacteristic
1599C2×C8C23×D4711yescharacteristic
1600C2×C8C23×D4711yescharacteristic
1601C2×C8C23×D4711yescharacteristic
1602C2×C8C23×D4711yescharacteristic
1603C4⋊C4—471no—
1604C4⋊C4—471no—
1605C4⋊C4—471no—
1606C4⋊C4—471no—
1607C4⋊C4—471no—
1608C4⋊C4—471no—
1609C4⋊C4—941no—
1610C4⋊C4—941no—
1611C4⋊C4—941no—
1612C4⋊C4—941no—
1613C4⋊C4—941no—
1614C4⋊C4—941no—
1615C4⋊C4—941no—
1616C4⋊C4—941no—
1617C4⋊C4—941no—
1618C4⋊C4—941no—
1619C4⋊C4—941no—
1620C4⋊C4—941no—
1621C4⋊C4—941no—
1622C4⋊C4—941no—
1623C4⋊C4—941no—
1624C4⋊C4—941no—
1625C4⋊C4—941no—
1626C4⋊C4—941no—
1627C4⋊C4—941no—
1628C4⋊C4—941no—
1629C4⋊C4—941no—
1630C4⋊C4—941no—
1631C4⋊C4C2×D18811yescharacteristic
1632C4⋊C4C2×D18811yescharacteristic
1633C4⋊C4C2×D18811yescharacteristic
1634C4⋊C4C2×D18811yescharacteristic
1635C22⋊C4—941no—
1636C22⋊C4—941no—
1637C22⋊C4—941no—
1638C22⋊C4—941no—
1639C22⋊C4—941no—
1640C22⋊C4—941no—
1641C22⋊C4—941no—
1642C22⋊C4—941no—
1643C22⋊C4—941no—
1644C22⋊C4—941no—
1645C22⋊C4—941no—
1646C22⋊C4—941no—
1647C22⋊C4—941no—
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⋊C4C2×D18811yescharacteristic
1671C22⋊C4C2×D18811yescharacteristic
1672C22⋊C4C2×D18811yescharacteristic
1673C22⋊C4C2×D18811yescharacteristic
1674C22⋊C4C2×D18811yescharacteristic
1675C22⋊C4C2×D18811yescharacteristic
1676C22⋊C4C2×D18811yescharacteristic
1677C22⋊C4C2×D18811yescharacteristic
1678C42—941no—
1679C42—941no—
1680C42—941no—
1681C42—941no—
1682C42—941no—
1683C42—941no—
1684C42—941no—
1685C42C2×D18811yescharacteristic
1686C42C2×D18811yescharacteristic
1687C42C23×D4711yescharacteristic
1688C42C23×D4711yescharacteristic
1689C23—22no—
1690C23—41no—
1691C23—41no—
1692C23—41no—
1693C23—41no—
1694C23—41no—
1695C23—941no—
1696C23—941no—
1697C23—941no—
1698C23—941no—
1699C23—941no—
1700C23—3761no—
1701C23—3761no—
1702C23—3761no—
1703C23—3761no—
1704C23—1882no—
1705C23—1882no—
1706C23—1882no—
1707C23—1882no—
1708C23—1882no—
1709C23C22×D18811yescharacteristic
1710C23C22×D18811yescharacteristic
1711C23C22×D18811yescharacteristic
1712C23C22×D18811yescharacteristic
1713C23C22×D18811yescharacteristic
1714Q8—472no—
1715Q8—941no—
1716Q8—941no—
1717Q8—941no—
1718Q8—941no—
1719Q8—941no—
1720Q8—941no—
1721Q8—941no—
1722Q8—941no—
1723Q8—941no—
1724Q8—3761no—
1725Q8—1882no—
1726Q8—1882no—
1727D4—22no—
1728D4—22no—
1729D4—41no—
1730D4—41no—
1731D4—472no—
1732D4—944no—
1733D4—941no—
1734D4—941no—
1735D4—941no—
1736D4—941no—
1737D4—941no—
1738D4—941no—
1739D4—941no—
1740D4—941no—
1741D4—941no—
1742D4—3761no—
1743D4—3761no—
1744D4—3761no—
1745D4—3761no—
1746D4—3761no—
1747D4—3761no—
1748D4—3761no—
1749D4—3761no—
1750D4—1882no—
1751D4—1882no—
1752D4—1882no—
1753D4—1882no—
1754D4—1882no—
1755D4—1882no—
1756D4—1882no—
1757D4—1882no—
1758D4—1882no—
1759D4—1882no—
1760D4—1882no—
1761D4—1882no—
1762D4—1882no—
1763D4—1882no—
1764D4—1882no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—41no—
1776C2×C4—41no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—41no—
1781C2×C4—41no—
1782C2×C4—41no—
1783C2×C4—944no—
1784C2×C4—941no—
1785C2×C4—941no—
1786C2×C4—941no—
1787C2×C4—941no—
1788C2×C4—941no—
1789C2×C4—941no—
1790C2×C4—941no—
1791C2×C4—941no—
1792C2×C4—941no—
1793C2×C4—941no—
1794C2×C4—941no—
1795C2×C4—3761no—
1796C2×C4—3761no—
1797C2×C4—3761no—
1798C2×C4—3761no—
1799C2×C4—3761no—
1800C2×C4—3761no—
1801C2×C4—3761no—
1802C2×C4—1882no—
1803C2×C4—1882no—
1804C2×C4—1882no—
1805C2×C4—1882no—
1806C2×C4—1882no—
1807C2×C4—1882no—
1808C2×C4—1882no—
1809C2×C4—1882no—
1810C2×C4—1882no—
1811C2×C4—1882no—
1812C2×C4C22×D18811yescharacteristic
1813C2×C4C22×D18811yescharacteristic
1814C2×C4C22×D18811yescharacteristic
1815C2×C4C22×D18811yescharacteristic
1816C2×C4C22×D18811yescharacteristic
1817C2×C4C22×D18811yescharacteristic
1818C2×C4C22×D18811yescharacteristic
1819C2×C4C22×D18811yescharacteristic
1820C2×C4C22×D18811yescharacteristic
1821C2×C4C24×D4711yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—21no—
1827C8—21no—
1828C8—21no—
1829C8—21no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—21no—
1841C22—21no—
1842C22—21no—
1843C22—21no—
1844C22—82no—
1845C22—82no—
1846C22—942no—
1847C22—3764no—
1848C22—3764no—
1849C22—1881no—
1850C22—1881no—
1851C22—1881no—
1852C22—1881no—
1853C22—1881no—
1854C22—1881no—
1855C22—1881no—
1856C22—1881no—
1857C22—1881no—
1858C22—1881no—
1859C22—1881no—
1860C22—1881no—
1861C22—1881no—
1862C22—1881no—
1863C22—7522no—
1864C22#1568992312yes—
1865C22C23×D18811yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—21no—
1871C4—21no—
1872C4—21no—
1873C4—21no—
1874C4—21no—
1875C4—942no—
1876C4—1881no—
1877C4—1881no—
1878C4—1881no—
1879C4—1881no—
1880C4—1881no—
1881C4—1881no—
1882C4—1881no—
1883C4—1881no—
1884C4—1881no—
1885C4—1881no—
1886C4H(5,𝔽2)×D4711yescharacteristic
1887C4H(5,𝔽2)×D4711yescharacteristic
1888C2—22no—
1889C2—41no—
1890C2—41no—
1891C2—41no—
1892C2—41no—
1893C2—3761no—
1894C2—3761no—
1895C2—3761no—
1896C2—3761no—
1897C2—1882no—
1898C2#2025702411yescharacteristic
1899C2C2×#1568992311yescharacteristic
1900C2#2025816211yescharacteristic
subgroupG/H
centerC22C23×D188
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#2974C2
socleC22×C47C23×D4
hypercenter#2974D47
hypocenterC47#61606
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #2974

Complements

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

NH ≅ G/Ntype
1. #20257227C2semidirect
2. D4×#10625350C2semidirect
3. #20255658C2semidirect
4. #20255606C2semidirect
5. #20255561C2semidirect
6. #20255531C2semidirect
7. #20255516C2semidirect
8. #20255486C2semidirect
9. #20255292C2semidirect
10. #20255240C2semidirect
11. #20255131C2semidirect
12. #20255100C2semidirect
13. #20255024C2semidirect
14. #20255000C2semidirect
15. #20254963C2semidirect
16. #20254933C2semidirect
17. #20254918C2semidirect
18. #20254888C2semidirect
19. #20254427C2semidirect
20. #20254366C2semidirect
21. #20254230C2semidirect
22. #20254220C2semidirect
23. #20254181C2semidirect
24. #20254155C2semidirect
25. #20253499C2semidirect
26. #20253408C2semidirect
27. #20252642C2semidirect
28. #20252633C2semidirect
29. #20252610C2semidirect
30. C2×#15689287C2semidirect
31. C47×#2974C2semidirect
33. C22×#10625350C22semidirect
34. C2×#13094057C22semidirect
35. C2×#13094052C22semidirect
36. C2×#13094052C22semidirect
37. C2×#13094052C22semidirect
38. C2×#13094046C22semidirect
39. C2×#13094046C22semidirect
40. C22×Dic188C22semidirect
41. C22×#10625325C22semidirect
45. #15689819C22semidirect
46. #15689813C22semidirect
47. #15689813C22semidirect
51. D4×Dic94C22semidirect
54. #15689782C22semidirect
55. #15689782C22semidirect
59. #15689769C22semidirect
60. #15689769C22semidirect
61. #15689769C22semidirect
64. D4×D188C22semidirect
69. #15689673C22semidirect
71. #15689657C22semidirect
72. #15689657C22semidirect
74. #15689634C22semidirect
75. #15689634C22semidirect
76. #15689634C22semidirect
79. C2×#13094003C22semidirect
80. C2×#13093998C22semidirect
82. C4×#10625350C22semidirect
84. #15689517C22semidirect
85. #15689512C22semidirect
86. #15689507C22semidirect
87. #15689507C22semidirect
88. #15689492C22semidirect
89. #15689488C22semidirect
90. #15689478C22semidirect
91. #15689478C22semidirect
92. #15689465C22semidirect
93. #15689465C22semidirect
94. #15689465C22semidirect
95. #15689465C22semidirect
96. #15689459C22semidirect
97. #15689459C22semidirect
98. #15689448C22semidirect
99. #15689448C22semidirect
100. #15689448C22semidirect
101. #15689448C22semidirect
102. #15689442C22semidirect
103. #15689442C22semidirect
104. #15689431C22semidirect
105. #15689431C22semidirect
106. #15689424C22semidirect
107. #15689424C22semidirect
108. #15689381C22semidirect
109. #15689381C22semidirect
110. #15689381C22semidirect
111. #15689376C22semidirect
112. #15689369C22semidirect
113. #15689369C22semidirect
114. #15689369C22semidirect
115. #15689369C22semidirect
116. #15689364C22semidirect
117. #15689359C22semidirect
118. #15689359C22semidirect
119. #15689359C22semidirect
120. #15689352C22semidirect
121. #15689352C22semidirect
122. #15689352C22semidirect
123. #15689352C22semidirect
124. #15689346C22semidirect
125. #15689346C22semidirect
126. #15689346C22semidirect
127. #15689346C22semidirect
128. #15689339C22semidirect
129. #15689339C22semidirect
130. #15689339C22semidirect
131. #15689339C22semidirect
132. #15689334C22semidirect
133. #15689329C22semidirect
134. #15689324C22semidirect
135. #15689319C22semidirect
136. #15689287C22semidirect
137. #15689287C22semidirect
138. #15689287C22semidirect
139. #15689287C22semidirect
140. #15689287C22semidirect
141. #15689287C22semidirect
142. #15689287C22semidirect
143. #15689287C22semidirect
144. #15689287C22semidirect
145. #15689287C22semidirect
146. #15689287C22semidirect
147. #15689287C22semidirect
148. #15689287C22semidirect
149. #15689287C22semidirect
150. #15689281C22semidirect
151. #15689281C22semidirect
152. #15689276C22semidirect
153. #15689276C22semidirect
156. #15689270C22semidirect
157. #15689270C22semidirect
158. #15689270C22semidirect
159. #15689270C22semidirect
160. #15689270C22semidirect
161. #15689270C22semidirect
162. #15689270C22semidirect
163. #15689270C22semidirect
164. #15689264C22semidirect
165. #15689264C22semidirect
166. #15689264C22semidirect
167. #15689264C22semidirect
168. #15689259C22semidirect
169. #15689259C22semidirect
170. #15689259C22semidirect
171. #15689259C22semidirect
172. #15689236C22semidirect
173. #15689231C22semidirect
174. #15689225C22semidirect
175. #15689225C22semidirect
176. C4×Dic188C22semidirect
177. C4×#10625325C22semidirect
178. C4×#10625325C22semidirect
179. C4×D376C22semidirect
180. #15689133C22semidirect
181. #15689129C22semidirect
182. #15689125C22semidirect
183. #15689125C22semidirect
184. #15689120C22semidirect
185. #15689120C22semidirect
186. C2×#13093949C22semidirect
187. C2×#13093946C22semidirect
189. C47×#436C22semidirect
190. C47×#436C22semidirect
191. C47×#435C22semidirect
192. C47×#435C22semidirect
193. C47×#435C22semidirect
194. C47×#435C22semidirect
195. C8×D4×C47C22semidirect
196. C8×D4×C47C22semidirect
197. C47×#432C22semidirect
198. C47×#431C22semidirect
199. C47×#407C22semidirect
200. C47×#407C22semidirect
201. C2×C22⋊C8×C47C22semidirect
202. C2×C22⋊C8×C47C22semidirect
968. #2974D47semidirect
1131. #436C2×D47semidirect
1132. #436C2×D47semidirect
1133. #435C2×D47semidirect
1134. #435C2×D47semidirect
1135. #435C2×D47semidirect
1136. #435C2×D47semidirect
1137. C8×D4C2×D47semidirect
1138. C8×D4C2×D47semidirect
1139. #432C2×D47semidirect
1140. #431C2×D47semidirect
1149. #407C2×D47semidirect
1150. #407C2×D47semidirect
1151. C2×C22⋊C8C2×D47semidirect
1152. C2×C22⋊C8C2×D47semidirect
1153. C47#61606semidirect

Maximal subgroups

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

subgroupindex
#202572272
D4×#106253502
#202556582
#202556062
#202555612
#202555312
#202555162
#202554862
#202552922
#202552402
#202551312
#202551002
#202550242
#202550002
#202549632
#202549332
#202549182
#202548882
#202544272
#202543662
#202542302
#202542202
#202541812
#202541552
#202534992
#202534082
#202526422
#202526332
#202526102
C2×#156892872
C47×#29742
#6160647