Finite Group Databasebeta

← #27101751

Subgroups — #27101751

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#20257217C211yesmaximal, characteristic, complemented
2D4×#10625352C211yesmaximal, characteristic, complemented
3#20255654C211yesmaximal, characteristic, complemented
4#20255600C211yesmaximal, characteristic, complemented
5#20255553C211yesmaximal, characteristic, complemented
6#20255513C211yesmaximal, characteristic, complemented
7#20255481C211yesmaximal, characteristic, complemented
8#20255288C211yesmaximal, characteristic, complemented
9#20255234C211yesmaximal, characteristic, complemented
10#20255126C211yesmaximal, characteristic, complemented
11#20255099C211yesmaximal, characteristic, complemented
12#20255026C211yesmaximal, characteristic, complemented
13#20254999C211yesmaximal, characteristic, complemented
14#20254963C211yesmaximal, characteristic, complemented
15#20254934C211yesmaximal, characteristic, complemented
16#20254915C211yesmaximal, characteristic, complemented
17#20254879C211yesmaximal, characteristic, complemented
18#20254426C211yesmaximal, characteristic, complemented
19#20254362C211yesmaximal, characteristic, complemented
20#20254224C211yesmaximal, characteristic, complemented
21#20254217C211yesmaximal, characteristic, complemented
22#20254179C211yesmaximal, characteristic, complemented
23#20254148C211yesmaximal, characteristic, complemented
24#20253493C211yesmaximal, characteristic, complemented
25#20253411C211yesmaximal, characteristic, complemented
26#20252635C211yesmaximal, characteristic, complemented
27#20252632C211yesmaximal, characteristic, complemented
28#20252601C211yesmaximal, characteristic, complemented
29C2×#15689286C211yesmaximal, characteristic, complemented
30#20252418C211yesmaximal, characteristic, complemented
31C47×#3318C211yesmaximal, characteristic, complemented
32C22×#10625352C2211yescharacteristic
33C22×#10625352C2211yescharacteristic, complemented
34C2×#13094057C2211yescharacteristic, complemented
35C2×#13094050C2211yescharacteristic, complemented
36C2×#13094048C2211yescharacteristic, complemented
37C2×#13094048C2211yescharacteristic, complemented
38C2×#13094043C2211yescharacteristic, complemented
39C2×#13094043C2211yescharacteristic, complemented
40C22×Dic188C2211yescharacteristic, complemented
41C22×#10625335C2211yescharacteristic, complemented
42#15689825—21no—
43#15689821C2211yescharacteristic, complemented
44#15689819—21no—
45#15689812C2211yescharacteristic, complemented
46#15689811C2211yescharacteristic, complemented
47#15689798—21no—
48#15689796—21no—
49#15689793C2211yescharacteristic
50D4×Dic94C2211yescharacteristic, complemented
51#15689782C2211yescharacteristic
52#15689779C2211yescharacteristic
53#15689779C2211yescharacteristic, complemented
54#15689779C2211yescharacteristic, complemented
55#15689777C2211yescharacteristic
56#15689773—21no—
57#15689770C2211yescharacteristic, complemented
58#15689768C2211yescharacteristic, complemented
59#15689767C2211yescharacteristic
60#15689767C2211yescharacteristic, complemented
61#15689760—21no—
62#15689760—21no—
63D4×C22⋊D47—21no—
64#15689714—21no—
65#15689709—21no—
66#15689681—21no—
67#15689671C2211yescharacteristic, complemented
68#15689668—21no—
69#15689658C2211yescharacteristic, complemented
70#15689655C2211yescharacteristic, complemented
71#15689635C2211yescharacteristic, complemented
72#15689633C2211yescharacteristic
73#15689633C2211yescharacteristic, complemented
74#15689633C2211yescharacteristic, complemented
75#15689629—21no—
76#15689629—21no—
77C2×#13094004C2211yescharacteristic, complemented
78#121×D47C2211yescharacteristic, complemented
79#15689595—21no—
80C4×#10625352C2211yescharacteristic, complemented
81C2×D4×Dic47—21no—
82C4×D4×D47C2211yescharacteristic
83#15689517C2211yescharacteristic, complemented
84#15689510C2211yescharacteristic, complemented
85#15689506C2211yescharacteristic, complemented
86#15689506C2211yescharacteristic, complemented
87#15689493C2211yescharacteristic, complemented
88#15689476C2211yescharacteristic, complemented
89#15689476C2211yescharacteristic, complemented
90#15689467C2211yescharacteristic, complemented
91#15689467C2211yescharacteristic, complemented
92#15689467C2211yescharacteristic, complemented
93#15689464C2211yescharacteristic, complemented
94#15689460C2211yescharacteristic, complemented
95#15689458C2211yescharacteristic, complemented
96#15689450C2211yescharacteristic, complemented
97#15689446C2211yescharacteristic, complemented
98#15689446C2211yescharacteristic, complemented
99#15689440C2211yescharacteristic, complemented
100#15689433C2211yescharacteristic, complemented
101#15689427C2211yescharacteristic, complemented
102#15689425C2211yescharacteristic, complemented
103#15689382C2211yescharacteristic, complemented
104#15689382C2211yescharacteristic, complemented
105#15689381C2211yescharacteristic, complemented
106#15689368C2211yescharacteristic, complemented
107#15689368C2211yescharacteristic, complemented
108#15689367C2211yescharacteristic, complemented
109#15689367C2211yescharacteristic, complemented
110#15689365C2211yescharacteristic, complemented
111#15689358C2211yescharacteristic, complemented
112#15689357C2211yescharacteristic, complemented
113#15689353C2211yescharacteristic, complemented
114#15689352C2211yescharacteristic, complemented
115#15689351C2211yescharacteristic, complemented
116#15689350C2211yescharacteristic, complemented
117#15689346C2211yescharacteristic, complemented
118#15689344C2211yescharacteristic, complemented
119#15689344C2211yescharacteristic, complemented
120#15689344C2211yescharacteristic, complemented
121#15689338C2211yescharacteristic, complemented
122#15689337C2211yescharacteristic, complemented
123#15689337C2211yescharacteristic, complemented
124#15689336C2211yescharacteristic, complemented
125#15689334C2211yescharacteristic, complemented
126#15689328C2211yescharacteristic, complemented
127#15689320C2211yescharacteristic, complemented
128#15689287C2211yescharacteristic, complemented
129#15689286C2211yescharacteristic, complemented
130#15689286C2211yescharacteristic, complemented
131#15689286C2211yescharacteristic, complemented
132#15689286C2211yescharacteristic, complemented
133#15689286C2211yescharacteristic, complemented
134#15689286C2211yescharacteristic, complemented
135#15689286C2211yescharacteristic, complemented
136#15689286C2211yescharacteristic, complemented
137#15689286C2211yescharacteristic, complemented
138#15689286C2211yescharacteristic, complemented
139#15689286C2211yescharacteristic, complemented
140#15689286C2211yescharacteristic, complemented
141#15689286C2211yescharacteristic, complemented
142#15689281C2211yescharacteristic, complemented
143#15689281C2211yescharacteristic, complemented
144#15689275C2211yescharacteristic, complemented
145#15689274C2211yescharacteristic, complemented
146#15689269C2211yescharacteristic
147#15689269C2211yescharacteristic, complemented
148#15689269C2211yescharacteristic, complemented
149#15689269C2211yescharacteristic, complemented
150#15689269C2211yescharacteristic, complemented
151#15689266C2211yescharacteristic, complemented
152#15689265C2211yescharacteristic
153#15689265C2211yescharacteristic, complemented
154#15689265C2211yescharacteristic, complemented
155#15689265C2211yescharacteristic, complemented
156#15689264C2211yescharacteristic, complemented
157#15689261C2211yescharacteristic, complemented
158#15689261C2211yescharacteristic, complemented
159#15689261C2211yescharacteristic, complemented
160#15689257C2211yescharacteristic, complemented
161#15689255C2211yescharacteristic, complemented
162#15689231C2211yescharacteristic, complemented
163#15689223C2211yescharacteristic, complemented
164#15689223C2211yescharacteristic, complemented
165#15689217C2211yescharacteristic, complemented
166#15689214C2211yescharacteristic, complemented
167#15689210C2211yescharacteristic, complemented
168#15689203C2211yescharacteristic, complemented
169#15689199C2211yescharacteristic, complemented
170#15689198C2211yescharacteristic, complemented
171#15689196C2211yescharacteristic, complemented
172#15689195C2211yescharacteristic, complemented
173#15689193C2211yescharacteristic, complemented
174C8×C22⋊D47C2211yescharacteristic, complemented
175(C22⋊D47)⋊C8C2211yescharacteristic, complemented
176#15689178C2211yescharacteristic, complemented
177#15689175C2211yescharacteristic, complemented
178#15689131C2211yescharacteristic, complemented
179#15689121C2211yescharacteristic, complemented
180#15689121C2211yescharacteristic, complemented
181#15689116C2211yescharacteristic, complemented
182#15689116C2211yescharacteristic, complemented
183C2×#13093947C2211yescharacteristic, complemented
184#15689086C2211yescharacteristic, complemented
185#15689085C2211yescharacteristic, complemented
186C2×(C2×D47)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D47C2211yescharacteristic, complemented
188C47×#553C2211yescharacteristic
189D42×C47C2211yescharacteristic, complemented
190C47×#490C2211yescharacteristic, complemented
191C47×#482C2211yescharacteristic, complemented
192C47×#481C2211yescharacteristic, complemented
193C47×#478C2211yescharacteristic, complemented
194C47×#469C2211yescharacteristic, complemented
195C47×#466C2211yescharacteristic, complemented
196C47×#459C2211yescharacteristic, complemented
197C47×#447C2211yescharacteristic, complemented
198C47×#447C2211yescharacteristic, complemented
199C47×#442C2211yescharacteristic, complemented
200C47×#435C2211yescharacteristic, complemented
201C47×#418C2211yescharacteristic, complemented
202C2×#102×C47C2211yescharacteristic, complemented
203C2×#10625350C2311yescharacteristic
204C2×#10625352—21no—
205C2×#10625352—21no—
206C2×#10625352—21no—
207C2×#10625352—21no—
208C2×#10625352—42no—
209C2×#10625352—42no—
210C2×#10625352—42no—
211C2×#10625352—42no—
212C2×#10625352C2311yescharacteristic
213C2×#10625352C2311yescharacteristic
214C2×#10625352C2311yescharacteristic
215C2×#10625352C2311yescharacteristic
216C2×#10625352C2311yescharacteristic
217C2×#10625352C2311yescharacteristic
218C2×#10625352C2311yescharacteristic
219C2×#10625352C2311yescharacteristic
220C22×Dic94C2311yescharacteristic
221C22×Dic94C2311yescharacteristic
222C22×Dic94C2311yescharacteristic
223C22×C22⋊D47—21no—
224C22×C22⋊D47—21no—
225C2×D4×D47—21no—
226C2×D4×D47D411yescharacteristic
227C2×D4×D47C2311yescharacteristic
228C23×Dic47—21no—
229C23×Dic47—21no—
230C22×C4×D47C2311yescharacteristic
231C22×C4×D47C2311yescharacteristic
232#13094057—42no—
233#13094050—42no—
234#13094048—42no—
235#13094048—42no—
236#13094043—42no—
237#13094043—42no—
238C2×Dic188—42no—
239C2×Dic188C2311yescharacteristic
240C2×Dic188C2311yescharacteristic
241C2×Dic188C2311yescharacteristic
242C2×Dic188C2311yescharacteristic
243C2×Dic188C2311yescharacteristic
244C2×Dic188C2311yescharacteristic
245C2×#10625325C2311yescharacteristic
246C2×#10625325C2311yescharacteristic
247C2×#10625325C2311yescharacteristic
248C2×#10625335—42no—
249C2×#10625335C2311yescharacteristic
250C2×#10625335C2311yescharacteristic
251C2×#10625335C2311yescharacteristic
252C2×#10625335C2311yescharacteristic
253C2×#10625335C2311yescharacteristic
254C2×#10625335C2311yescharacteristic
255C2×#10625335C2311yescharacteristic
256C2×#10625335C2311yescharacteristic
257C2×#10625335C2311yescharacteristic
258C2×#10625334C2311yescharacteristic
259C2×#10625334C2311yescharacteristic
260C2×#10625334C2311yescharacteristic
261C2×#10625329C2311yescharacteristic
262C2×#10625324C2311yescharacteristic
263C2×#10625324C2311yescharacteristic
264C22×C47⋊C8C2311yescharacteristic
265C2×C8×D47C2311yescharacteristic
266C2×C8×D47C2311yescharacteristic
267#13094024C2311yescharacteristic
268#13094023—21no—
269#13094020—21no—
270#13094019—21no—
271#13094019—21no—
272#13094019—21no—
273#13094017—21no—
274#13094017—21no—
275#13094016—21no—
276#13094015—21no—
277#13094015C2311yescharacteristic
278#13094012C2311yescharacteristic
279#13094011C2311yescharacteristic
280#13094011C2311yescharacteristic
281#13094011C2311yescharacteristic
282#13094010—21no—
283#13094010—21no—
284#13094010—21no—
285#13094010—21no—
286#13094009—21no—
287#13094009—21no—
288#13094009—21no—
289#13094008—21no—
290#13094008—21no—
291#13094008—21no—
292#13094008—21no—
293#13094006—21no—
294#13094006—21no—
295#13094006—21no—
296#13094006—21no—
297#13094006—21no—
298#13094006—21no—
299#13094005—21no—
300#13094005—21no—
301#13094004—21no—
302#13094004—21no—
303#13094004C2311yescharacteristic
304#13094004C2311yescharacteristic
305#13094004C2311yescharacteristic
306#13094004C2311yescharacteristic
307#13094004C2311yescharacteristic
308#13094004C2311yescharacteristic
309#13094004C2311yescharacteristic
310#13094003C2311yescharacteristic
311#13094003C2311yescharacteristic
312#13094003C2311yescharacteristic
313#13094002—21no—
314#13094001—21no—
315#13094001—21no—
316#13094001—21no—
317#13094001—21no—
318#13094001—21no—
319#13093999C2311yescharacteristic
320#13093999C2311yescharacteristic
321#13093998—21no—
322#13093998—21no—
323#13093998—21no—
324#13093998C2311yescharacteristic
325#13093997—21no—
326#13093996—21no—
327#13093996—21no—
328#13093996—21no—
329#13093996—21no—
330#13093996—21no—
331#13093996—21no—
332#13093996—21no—
333#13093996—21no—
334#13093996—21no—
335#13093995—21no—
336#13093995—21no—
337#13093995—21no—
338#13093995C2311yescharacteristic
339#13093995C2311yescharacteristic
340#13093995C2311yescharacteristic
341#13093994—21no—
342#13093994—21no—
343#13093993—21no—
344#13093993—21no—
345#13093992—21no—
346#13093992—21no—
347#13093992—21no—
348#13093992—21no—
349C4×Dic94C2311yescharacteristic
350C4×Dic94C2311yescharacteristic
351#13093989C2311yescharacteristic
352#13093989C2311yescharacteristic
353C4×D188—21no—
354C4×D188—21no—
355C4×D188C2311yescharacteristic
356D4×Dic47—21no—
357D4×Dic47—21no—
358D4×Dic47—21no—
359D4×Dic47—21no—
360D4×Dic47—21no—
361D4×Dic47—21no—
362D4×Dic47—21no—
363D4×Dic47—21no—
364D4×Dic47—21no—
365D4×Dic47—21no—
366D4×Dic47D411yescharacteristic
367D4×Dic47C2311yescharacteristic
368#13093986—21no—
369#13093986D411yescharacteristic
370#13093986C2311yescharacteristic
371C4×C22⋊D47—21no—
372C4×C22⋊D47—21no—
373C4×C22⋊D47—21no—
374C4×C22⋊D47C2311yescharacteristic
375C4×C22⋊D47C2311yescharacteristic
376(C22⋊D47)⋊C4—21no—
377(C22⋊D47)⋊C4—21no—
378(C22⋊D47)⋊C4—21no—
379(C22⋊D47)⋊C4—21no—
380(C22⋊D47)⋊C4—21no—
381(C22⋊D47)⋊C4D411yescharacteristic
382(C22⋊D47)⋊C4D411yescharacteristic
383#13093983—21no—
384#13093982—21no—
385#13093982—21no—
386#13093982C2311yescharacteristic
387#13093982C2311yescharacteristic
388#13093981—21no—
389#13093980—21no—
390C2×C4⋊Dic47—21no—
391C2×C4⋊Dic47—21no—
392C4⋊C4×D47D411yescharacteristic
393C4⋊C4×D47C2311yescharacteristic
394C2×C22⋊Dic47—21no—
395C2×C22⋊Dic47—21no—
396C2×(C2×D47)⋊C4—21no—
397C2×(C2×D47)⋊C4—21no—
398C22⋊C4×D47—21no—
399C22⋊C4×D47—21no—
400C22⋊C4×D47D411yescharacteristic
401C22⋊C4×D47D411yescharacteristic
402C2×C4×Dic47—21no—
403C42×D47C2311yescharacteristic
404#13093957C2311yescharacteristic
405#13093957C2311yescharacteristic
406#13093957C2311yescharacteristic
407#13093956C2311yescharacteristic
408#13093955C2311yescharacteristic
409C4⋊(C47⋊C8)C2311yescharacteristic
410Dic47⋊C8C2311yescharacteristic
411Dic47⋊C8C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093949C2311yescharacteristic
414#13093949C2311yescharacteristic
415#13093949C2311yescharacteristic
416#13093949C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093947C2311yescharacteristic
420#13093947C2311yescharacteristic
421#13093947C2311yescharacteristic
422#13093947C2311yescharacteristic
423#13093947C2311yescharacteristic
424#13093947C2311yescharacteristic
425#13093947C2311yescharacteristic
426#13093947C2311yescharacteristic
427#13093947C2311yescharacteristic
428#13093946C2311yescharacteristic
429#13093945C2311yescharacteristic
430#13093945C2311yescharacteristic
431#13093945C2311yescharacteristic
432#13093945C2311yescharacteristic
433#13093944C2311yescharacteristic
434C22⋊(C47⋊C8)C2311yescharacteristic
435C22⋊(C47⋊C8)C2311yescharacteristic
436(C2×D47)⋊C8C2311yescharacteristic
437(C2×D47)⋊C8C2311yescharacteristic
438(C2×D47)⋊C8C2311yescharacteristic
439(C2×D47)⋊C8C2311yescharacteristic
440(C2×D47)⋊C8C2311yescharacteristic
441(C2×D47)⋊C8C2311yescharacteristic
442(C2×D47)⋊C8C2311yescharacteristic
443(C2×D47)⋊C8C2311yescharacteristic
444#13093935C2311yescharacteristic
445C8×Dic47C2311yescharacteristic
446C8×Dic47C2311yescharacteristic
447C22×D4×C47—21no—
448C22×D4×C47C2311yescharacteristic
449C22×D4×C47C2311yescharacteristic
450C2×D8×C47C2311yescharacteristic
451C2×D8×C47C2311yescharacteristic
452C2×D8×C47C2311yescharacteristic
453C2×M16×C47C2311yescharacteristic
454C22×C8×C47C2311yescharacteristic
455#127×C47C2311yescharacteristic
456#126×C47—21no—
457#125×C47C2311yescharacteristic
458#123×C47—21no—
459#121×C47—21no—
460#121×C47—21no—
461#121×C47C2311yescharacteristic
462#121×C47C2311yescharacteristic
463#121×C47C2311yescharacteristic
464#121×C47C2311yescharacteristic
465#120×C47—21no—
466#120×C47—21no—
467C4×D4×C47—21no—
468C4×D4×C47C2311yescharacteristic
469C4×D4×C47C2311yescharacteristic
470C4×D4×C47C2311yescharacteristic
471#117×C47C2311yescharacteristic
472C2×C4⋊C4×C47C2311yescharacteristic
473#107×C47C2311yescharacteristic
474#106×C47C2311yescharacteristic
475#106×C47C2311yescharacteristic
476C4⋊C8×C47C2311yescharacteristic
477#102×C47C2311yescharacteristic
478#102×C47C2311yescharacteristic
479#102×C47C2311yescharacteristic
480#102×C47C2311yescharacteristic
481#102×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486#102×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489#97×C47C2311yescharacteristic
490C24×C47—21no—
491C24×C47—21no—
492C23×D47—21no—
493C23×D47C2×D411yescharacteristic
494C23×D47C2×D411yescharacteristic
495C2×D4×C47—22no—
496C2×D4×C47—22no—
497C2×D4×C47—21no—
498C2×D4×C47—21no—
499C2×D4×C47—21no—
500C2×D4×C47—21no—
501C2×D4×C47—21no—
502C2×D4×C47—21no—
503C2×D4×C47—21no—
504C2×D4×C47—21no—
505C2×D4×C47—41no—
506C2×D4×C47—41no—
507C2×D4×C47—44no—
508C2×D4×C47C2×D411yescharacteristic
509C2×D4×C47C2411yescharacteristic
510C2×D4×C47C2411yescharacteristic
511C2×D4×C47C2411yescharacteristic
512C2×D4×C47C2411yescharacteristic
513C22×C4×C47—21no—
514C22×C4×C47—21no—
515C22×C4×C47—21no—
516C22×C4×C47C2411yescharacteristic
517C22×C4×C47C2411yescharacteristic
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—44no—
533C2×C22⋊D47—44no—
534C2×C22⋊D47C2×D411yescharacteristic
535C2×C22⋊D47C2×D411yescharacteristic
536C22×Dic47—21no—
537C22×Dic47—21no—
538C22×Dic47—21no—
539C22×Dic47—21no—
540C22×Dic47—21no—
541C22×Dic47—21no—
542C22×Dic47—21no—
543C22×Dic47—21no—
544C22×Dic47—21no—
545C22×Dic47—21no—
546C22×Dic47—21no—
547C22×Dic47—21no—
548C22×Dic47—44no—
549C22×Dic47—44no—
550C22×Dic47C2×D411yescharacteristic
551C22×Dic47C2×D411yescharacteristic
552#10625352—22no—
553#10625352—22no—
554#10625352—22no—
555#10625352—22no—
556#10625352—22no—
557#10625352—22no—
558#10625352—41no—
559#10625352—41no—
560#10625352—41no—
561#10625352—41no—
562#10625352—41no—
563#10625352—41no—
564#10625352—41no—
565#10625352—41no—
566#10625352—41no—
567#10625352—41no—
568#10625352—44no—
569#10625352—44no—
570#10625352—44no—
571#10625352—44no—
572D4×D47—41no—
573D4×D47—41no—
574D4×D47—42no—
575D4×D47—44no—
576#10625350—41no—
577#10625350—41no—
578C2×D188—21no—
579C2×D188—21no—
580C2×D188C2×D411yescharacteristic
581C2×D188C2411yescharacteristic
582C2×C4×D47—21no—
583C2×C4×D47—21no—
584C2×C4×D47—21no—
585C2×C4×D47—41no—
586C2×C4×D47—41no—
587C2×C4×D47—41no—
588C2×C4×D47—41no—
589C2×C4×D47C2×D411yescharacteristic
590C2×C4×D47C2×D411yescharacteristic
591C2×C4×D47C2×D411yescharacteristic
592C2×C4×D47C2×D411yescharacteristic
593C2×C4×D47C2×D411yescharacteristic
594C2×C4×D47C2×D411yescharacteristic
595C2×C4×D47C2411yescharacteristic
596C2×C4×D47C2411yescharacteristic
597C2×C4×D47C2411yescharacteristic
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
612D8×C47—22no—
613D8×C47—41no—
614D8×C47—41no—
615M16×C47—41no—
616C2×C8×C47—41no—
617C2×C8×C47C2411yescharacteristic
618C2×C8×C47C2411yescharacteristic
619C2×C8×C47C2411yescharacteristic
620C2×C8×C47C2411yescharacteristic
621C4⋊C4×C47—21no—
622C4⋊C4×C47—21no—
623C4⋊C4×C47—21no—
624C4⋊C4×C47C2×D411yescharacteristic
625C4⋊C4×C47C2411yescharacteristic
626C4⋊C4×C47C2411yescharacteristic
627C4⋊C4×C47C2411yescharacteristic
628C4⋊C4×C47C2411yescharacteristic
629C22⋊C4×C47—21no—
630C22⋊C4×C47—21no—
631C22⋊C4×C47—21no—
632C22⋊C4×C47—21no—
633C22⋊C4×C47—21no—
634C22⋊C4×C47—21no—
635C22⋊C4×C47—21no—
636C22⋊C4×C47C2×D411yescharacteristic
637C22⋊C4×C47C2×D411yescharacteristic
638C42×C47—21no—
639C42×C47C2411yescharacteristic
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⋊Dic47—21no—
653C22⋊Dic47C2×D411yescharacteristic
654C22⋊Dic47C2×D411yescharacteristic
655#10625335—22no—
656#10625335—22no—
657#10625335—22no—
658#10625335—41no—
659#10625335—41no—
660#10625335—41no—
661#10625335—41no—
662#10625335—41no—
663#10625335—41no—
664#10625334—22no—
665#10625334—41no—
666#10625334—41no—
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—
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⋊Dic47—21no—
693C4⋊Dic47—21no—
694C4⋊Dic47—21no—
695C4⋊Dic47—21no—
696C4⋊Dic47C2×D411yescharacteristic
697C4⋊Dic47C2411yescharacteristic
698C4⋊Dic47C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
709Dic47⋊C4C2×D411yescharacteristic
710C4×Dic47—21no—
711C4×Dic47—21no—
712C4×Dic47—21no—
713C4×Dic47—21no—
714C4×Dic47—21no—
715C4×Dic47—21no—
716C4×Dic47C2×D411yescharacteristic
717C4×Dic47C2×D411yescharacteristic
718C4×Dic47C2411yescharacteristic
719#10625329—41no—
720C2×C47⋊C8—41no—
721C2×C47⋊C8C2411yescharacteristic
722C2×C47⋊C8C2411yescharacteristic
723C2×C47⋊C8C2411yescharacteristic
724C2×C47⋊C8C2411yescharacteristic
725Dic188—22no—
726Dic188—22no—
727Dic188—41no—
728Dic188—41no—
729Dic188—41no—
730Dic188—41no—
731#10625325—22no—
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—21no—
742C23×C47—42no—
743C23×C47—42no—
744C23×C47—42no—
745C23×C47—42no—
746C23×C47—81no—
747C23×C47—81no—
748C23×C47C22×D411yescharacteristic
749C23×C47C22×D411yescharacteristic
750C22×D47—22no—
751C22×D47—21no—
752C22×D47—41no—
753C22×D47—41no—
754C22×D47—41no—
755C22×D47—41no—
756C22×D47—41no—
757C22×D47—42no—
758C22×D47—81no—
759C22×D47—81no—
760C22×D47C22×D411yescharacteristic
761C22×D47C22×D411yescharacteristic
762C22×D47C22×D411yescharacteristic
763D4×C47—22no—
764D4×C47—21no—
765D4×C47—21no—
766D4×C47—21no—
767D4×C47—21no—
768D4×C47—21no—
769D4×C47—21no—
770D4×C47—21no—
771D4×C47—42no—
772D4×C47—42no—
773D4×C47—42no—
774D4×C47—42no—
775D4×C47—42no—
776D4×C47—42no—
777D4×C47—81no—
778D4×C47—81no—
779D4×C47H(5,𝔽2)12yes—
780C2×C4×C47—21no—
781C2×C4×C47—21no—
782C2×C4×C47—21no—
783C2×C4×C47—21no—
784C2×C4×C47—21no—
785C2×C4×C47—21no—
786C2×C4×C47—21no—
787C2×C4×C47—21no—
788C2×C4×C47—42no—
789C2×C4×C47—81no—
790C2×C4×C47—81no—
791C2×C4×C47C22×D411yescharacteristic
792C2×C4×C47C22×D411yescharacteristic
793C2×C4×C47C22×D411yescharacteristic
794C2×C4×C47C22×D411yescharacteristic
795C2×C4×C47C2511yescharacteristic
796C22⋊D47—24no—
797C22⋊D47—22no—
798C22⋊D47—41no—
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—81no—
808C22⋊D47—81no—
809C22⋊D47—81no—
810C22⋊D47—81no—
811C22⋊D47—81no—
812C2×Dic47—24no—
813C2×Dic47—21no—
814C2×Dic47—21no—
815C2×Dic47—21no—
816C2×Dic47—21no—
817C2×Dic47—21no—
818C2×Dic47—21no—
819C2×Dic47—21no—
820C2×Dic47—41no—
821C2×Dic47—41no—
822C2×Dic47—42no—
823C2×Dic47—42no—
824C2×Dic47—42no—
825C2×Dic47—42no—
826C2×Dic47—42no—
827C2×Dic47—42no—
828C2×Dic47—42no—
829C2×Dic47—42no—
830C2×Dic47—81no—
831C2×Dic47—81no—
832C2×Dic47—81no—
833C2×Dic47C22×D411yescharacteristic
834C2×Dic47C22×D411yescharacteristic
835C2×Dic47C22×D411yescharacteristic
836C2×Dic47C22×D411yescharacteristic
837C2×Dic47C22×D411yescharacteristic
838D188—21no—
839D188—21no—
840D188—41no—
841D188—42no—
842D188—81no—
843C4×D47—21no—
844C4×D47—21no—
845C4×D47—21no—
846C4×D47—21no—
847C4×D47—21no—
848C4×D47—21no—
849C4×D47—41no—
850C4×D47—41no—
851C4×D47—41no—
852C4×D47—41no—
853C4×D47—41no—
854C4×D47—41no—
855C4×D47—42no—
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—
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—22no—
884C22×C47—21no—
885C22×C47—21no—
886C22×C47—41no—
887C22×C47—41no—
888C22×C47—41no—
889C22×C47—41no—
890C22×C47—41no—
891C22×C47—41no—
892C22×C47—41no—
893C22×C47—41no—
894C22×C47—41no—
895C22×C47—41no—
896C22×C47—41no—
897C22×C47—84no—
898C22×C47—84no—
899C22×C47#57512yes—
900C22×C47C23×D411yescharacteristic
901C2×D47—21no—
902C2×D47—21no—
903C2×D47—21no—
904C2×D47—21no—
905C2×D47—21no—
906C2×D47—21no—
907C2×D47—21no—
908C2×D47—21no—
909C2×D47—21no—
910C2×D47—41no—
911C2×D47—41no—
912C2×D47—41no—
913C2×D47—82no—
914C2×D47—82no—
915C2×D47—162no—
916C4×C47—21no—
917C4×C47—21no—
918C4×C47—21no—
919C4×C47—21no—
920C4×C47—41no—
921C4×C47—41no—
922C4×C47—41no—
923C4×C47—41no—
924C4×C47C2×H(5,𝔽2)11yescharacteristic
925C4×C47C2×H(5,𝔽2)11yescharacteristic
926Dic47—21no—
927Dic47—22no—
928Dic47—21no—
929Dic47—21no—
930Dic47—21no—
931Dic47—21no—
932Dic47—41no—
933Dic47—41no—
934Dic47—41no—
935Dic47—41no—
936Dic47—41no—
937Dic47—41no—
938#3505—471no—
939D4×#41—471no—
940#3327—471no—
941#3323—471no—
942#3320—471no—
943#3318D4711yescharacteristic, complemented
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#2974—471no—
969C2×C47—22no—
970C2×C47—41no—
971C2×C47—42no—
972C2×C47—81no—
973C2×C47—81no—
974C2×C47—81no—
975C2×C47#348411yescharacteristic
976C2×C47C2×#57511yescharacteristic
977C2×C47#358411yescharacteristic
978D47—41no—
979D47—41no—
980D47—41no—
981D47—81no—
982C22×#41—471no—
983C22×#41—471no—
984C2×#137—471no—
985C2×AGL(1,ℤ/8)—471no—
986C2×AGL(1,ℤ/8)—471no—
987C2×AGL(1,ℤ/8)—471no—
988C2×#135—471no—
989C2×#135—471no—
990C22×Q16—471no—
991C22×SD16—471no—
992#553—471no—
993#553—941no—
994#553—941no—
995#553C2×D4711yescharacteristic
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—941no—
1015D42C2×D4711yescharacteristic, complemented
1016#539—941no—
1017#538—941no—
1018#534—941no—
1019#532—471no—
1020#532—941no—
1021#529—471no—
1022#529—471no—
1023#525—471no—
1024#525—471no—
1025#525—471no—
1026#525—471no—
1027#525—941no—
1028#525—941no—
1029C2×C22⋊Q8—471no—
1030C2×#121—471no—
1031#518—941no—
1032C4×#41—471no—
1033C2×C4×D4—471no—
1034C2×C4×D4—941no—
1035#497—471no—
1036#496—471no—
1037#495—471no—
1038#495—471no—
1039#491—471no—
1040#490C2×D4711yescharacteristic, complemented
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#482C2×D4711yescharacteristic, complemented
1053#481—471no—
1054#481C2×D4711yescharacteristic, complemented
1055#479—471no—
1056#479—471no—
1057#478—471no—
1058#478C2×D4711yescharacteristic, complemented
1059#470—471no—
1060#470—471no—
1061#470—471no—
1062#469C2×D4711yescharacteristic, complemented
1063#468—471no—
1064#468—471no—
1065#468—471no—
1066#468—471no—
1067#467—471no—
1068#466—471no—
1069#466—471no—
1070#466C2×D4711yescharacteristic, complemented
1071#465—471no—
1072#465—471no—
1073#465—471no—
1074#465—471no—
1075#464—471no—
1076#464—471no—
1077#464—471no—
1078#464—471no—
1079#463—471no—
1080#463—471no—
1081#463—471no—
1082#463—471no—
1083#462—471no—
1084#461—471no—
1085#460—471no—
1086#459C2×D4711yescharacteristic, complemented
1087#452—471no—
1088#452—471no—
1089#452—471no—
1090#452—471no—
1091#452—471no—
1092#452—471no—
1093#452—471no—
1094#452—471no—
1095#452—471no—
1096#452—471no—
1097#452—471no—
1098#452—471no—
1099#452—471no—
1100#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#447C2×D4711yescharacteristic, complemented
1122#447C2×D4711yescharacteristic, complemented
1123#442C2×D4711yescharacteristic, complemented
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#435C2×D4711yescharacteristic, complemented
1137C8×D4—471no—
1138C8×D4—471no—
1139#432—471no—
1140#431—471no—
1141#419—471no—
1142#418C2×D4711yescharacteristic, complemented
1143#417—471no—
1144#417—471no—
1145#416—471no—
1146#416—471no—
1147C2×#103—471no—
1148C2×#102C2×D4711yescharacteristic, complemented
1149#407—471no—
1150#407—471no—
1151C2×C22⋊C8—471no—
1152C2×C22⋊C8—471no—
1153C47#6160611yescharacteristic, complemented, Sylow
1154C2×#41—471no—
1155C2×#41—471no—
1156C2×#41—471no—
1157C2×#41—471no—
1158C2×#41—471no—
1159C2×#41—471no—
1160C2×#41—471no—
1161C2×#41—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—21no—
1175C22×D4—471no—
1176C22×D4—471no—
1177C22×D4—941no—
1178C22×D4—941no—
1179C22×D4—941no—
1180C22×D4C22×D4711yescharacteristic
1181C22×D4C22×D4711yescharacteristic
1182C23×C4—471no—
1183C23×C4—471no—
1184C23×C4—941no—
1185C23×C4—941no—
1186#137—1882no—
1187AGL(1,ℤ/8)—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×D8C22×D4711yescharacteristic
1216C2×D8C22×D4711yescharacteristic
1217C2×D8C22×D4711yescharacteristic
1218C2×M16—471no—
1219C2×M16—471no—
1220C2×M16—471no—
1221C2×M16C22×D4711yescharacteristic
1222C22×C8—471no—
1223C22×C8—471no—
1224C22×C8—471no—
1225C22×C8C22×D4711yescharacteristic
1226C4⋊Q8—471no—
1227C4⋊Q8—941no—
1228#127—941no—
1229#127C22×D4711yescharacteristic
1230#126—21no—
1231#126—941no—
1232#126—941no—
1233#126—941no—
1234#126—941no—
1235#126—941no—
1236#125—471no—
1237#125—941no—
1238#125—941no—
1239#125C22×D4711yescharacteristic
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—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—21no—
1283#121—21no—
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#121C22×D4711yescharacteristic
1307#121C22×D4711yescharacteristic
1308#121C22×D4711yescharacteristic
1309#121C22×D4711yescharacteristic
1310#120—21no—
1311#120—21no—
1312#120—941no—
1313#120—941no—
1314#120—941no—
1315#120—941no—
1316#120—941no—
1317#120—941no—
1318#120—941no—
1319#120—941no—
1320C4×Q8—471no—
1321C4×Q8—471no—
1322C4×Q8—471no—
1323C4×Q8—471no—
1324C4×D4—21no—
1325C4×D4—471no—
1326C4×D4—471no—
1327C4×D4—471no—
1328C4×D4—471no—
1329C4×D4—471no—
1330C4×D4—471no—
1331C4×D4—471no—
1332C4×D4—471no—
1333C4×D4—471no—
1334C4×D4—941no—
1335C4×D4—941no—
1336C4×D4—941no—
1337C4×D4—941no—
1338C4×D4—941no—
1339C4×D4—941no—
1340C4×D4—941no—
1341C4×D4—941no—
1342C4×D4—941no—
1343C4×D4—941no—
1344C4×D4—941no—
1345C4×D4—941no—
1346C4×D4—941no—
1347C4×D4—941no—
1348C4×D4—941no—
1349C4×D4—941no—
1350C4×D4—941no—
1351C4×D4—941no—
1352C4×D4—941no—
1353C4×D4—941no—
1354C4×D4—941no—
1355C4×D4C22×D4711yescharacteristic
1356C4×D4C22×D4711yescharacteristic
1357C4×D4C22×D4711yescharacteristic
1358#117—471no—
1359#117—471no—
1360#117—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—941no—
1369C2×C4⋊C4—941no—
1370C2×C4⋊C4C22×D4711yescharacteristic
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#107C22×D4711yescharacteristic
1385#106—471no—
1386#106—471no—
1387#106C22×D4711yescharacteristic
1388#106C22×D4711yescharacteristic
1389C4⋊C8—471no—
1390C4⋊C8—471no—
1391C4⋊C8—471no—
1392C4⋊C8C22×D4711yescharacteristic
1393#103—471no—
1394#103—471no—
1395#103—471no—
1396#103—471no—
1397#103—471no—
1398#103—471no—
1399#103—471no—
1400#103—471no—
1401#103—471no—
1402#103—471no—
1403#103—471no—
1404#103—471no—
1405#103—471no—
1406#103—471no—
1407#103—471no—
1408#103—471no—
1409#102—471no—
1410#102—471no—
1411#102—471no—
1412#102—471no—
1413#102—471no—
1414#102—471no—
1415#102C22×D4711yescharacteristic
1416#102C22×D4711yescharacteristic
1417#102C22×D4711yescharacteristic
1418#102C22×D4711yescharacteristic
1419#102C22×D4711yescharacteristic
1420#102C22×D4711yescharacteristic
1421#102C22×D4711yescharacteristic
1422#102C22×D4711yescharacteristic
1423#102C22×D4711yescharacteristic
1424#102C22×D4711yescharacteristic
1425C22⋊C8—471no—
1426C22⋊C8—471no—
1427C22⋊C8—471no—
1428C22⋊C8—471no—
1429C22⋊C8—471no—
1430C22⋊C8—471no—
1431C22⋊C8—471no—
1432C22⋊C8—471no—
1433C22⋊C8—471no—
1434C22⋊C8—471no—
1435C22⋊C8C22×D4711yescharacteristic
1436C22⋊C8C22×D4711yescharacteristic
1437#97—471no—
1438#97C22×D4711yescharacteristic
1439C4×C8—471no—
1440C4×C8—471no—
1441C24—21no—
1442C24—21no—
1443C24—471no—
1444C24—471no—
1445C24—941no—
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—22no—
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—21no—
1492C2×D4—41no—
1493C2×D4—41no—
1494C2×D4—44no—
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—941no—
1506C2×D4—941no—
1507C2×D4—941no—
1508C2×D4—941no—
1509C2×D4—941no—
1510C2×D4—941no—
1511C2×D4—941no—
1512C2×D4—941no—
1513C2×D4—941no—
1514C2×D4—941no—
1515C2×D4—1881no—
1516C2×D4—1881no—
1517C2×D4—1882no—
1518C2×D4—1884no—
1519C2×D4—1884no—
1520C2×D4—1884no—
1521C2×D4D4×D4711yescharacteristic
1522C2×D4C23×D4711yescharacteristic
1523C2×D4C23×D4711yescharacteristic
1524C2×D4C23×D4711yescharacteristic
1525C2×D4C23×D4711yescharacteristic
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—471no—
1530C22×C4—471no—
1531C22×C4—471no—
1532C22×C4—471no—
1533C22×C4—471no—
1534C22×C4—471no—
1535C22×C4—471no—
1536C22×C4—471no—
1537C22×C4—471no—
1538C22×C4—471no—
1539C22×C4—471no—
1540C22×C4—941no—
1541C22×C4—941no—
1542C22×C4—941no—
1543C22×C4—941no—
1544C22×C4—941no—
1545C22×C4—941no—
1546C22×C4—941no—
1547C22×C4—941no—
1548C22×C4—941no—
1549C22×C4—941no—
1550C22×C4—941no—
1551C22×C4—941no—
1552C22×C4—941no—
1553C22×C4—941no—
1554C22×C4—941no—
1555C22×C4—1881no—
1556C22×C4—1881no—
1557C22×C4—1881no—
1558C22×C4—1881no—
1559C22×C4—1884no—
1560C22×C4—1884no—
1561C22×C4C23×D4711yescharacteristic
1562C22×C4C23×D4711yescharacteristic
1563Q16—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—22no—
1582D8—41no—
1583D8—41no—
1584D8—942no—
1585D8—1881no—
1586D8—1881no—
1587M16—41no—
1588M16—1881no—
1589M16—1881no—
1590M16—1881no—
1591C2×C8—41no—
1592C2×C8—471no—
1593C2×C8—471no—
1594C2×C8—471no—
1595C2×C8—471no—
1596C2×C8—1881no—
1597C2×C8—1881no—
1598C2×C8—1881no—
1599C2×C8C23×D4711yescharacteristic
1600C2×C8C23×D4711yescharacteristic
1601C2×C8C23×D4711yescharacteristic
1602C2×C8C23×D4711yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—471no—
1607C4⋊C4—471no—
1608C4⋊C4—471no—
1609C4⋊C4—471no—
1610C4⋊C4—471no—
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⋊C4D4×D4711yescharacteristic
1631C4⋊C4C23×D4711yescharacteristic
1632C4⋊C4C23×D4711yescharacteristic
1633C4⋊C4C23×D4711yescharacteristic
1634C4⋊C4C23×D4711yescharacteristic
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—471no—
1643C22⋊C4—471no—
1644C22⋊C4—471no—
1645C22⋊C4—471no—
1646C22⋊C4—471no—
1647C22⋊C4—471no—
1648C22⋊C4—941no—
1649C22⋊C4—941no—
1650C22⋊C4—941no—
1651C22⋊C4—941no—
1652C22⋊C4—941no—
1653C22⋊C4—941no—
1654C22⋊C4—941no—
1655C22⋊C4—941no—
1656C22⋊C4—941no—
1657C22⋊C4—941no—
1658C22⋊C4—941no—
1659C22⋊C4—941no—
1660C22⋊C4—941no—
1661C22⋊C4—941no—
1662C22⋊C4—941no—
1663C22⋊C4—941no—
1664C22⋊C4—941no—
1665C22⋊C4—941no—
1666C22⋊C4—941no—
1667C22⋊C4—941no—
1668C22⋊C4—941no—
1669C22⋊C4—941no—
1670C22⋊C4—941no—
1671C22⋊C4—941no—
1672C22⋊C4—941no—
1673C22⋊C4—941no—
1674C22⋊C4—941no—
1675C22⋊C4—941no—
1676C22⋊C4D4×D4711yescharacteristic
1677C22⋊C4D4×D4711yescharacteristic
1678C42—21no—
1679C42—471no—
1680C42—471no—
1681C42—471no—
1682C42—941no—
1683C42—941no—
1684C42—941no—
1685C42—941no—
1686C42—941no—
1687C42—941no—
1688C42C23×D4711yescharacteristic
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—42no—
1694C23—42no—
1695C23—42no—
1696C23—42no—
1697C23—81no—
1698C23—81no—
1699C23—471no—
1700C23—471no—
1701C23—471no—
1702C23—942no—
1703C23—941no—
1704C23—3761no—
1705C23—3761no—
1706C23—1881no—
1707C23—1881no—
1708C23—1881no—
1709C23—1881no—
1710C23—1881no—
1711C23—1882no—
1712C23C2×D4×D4711yescharacteristic
1713C23C2×D4×D4711yescharacteristic
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—21no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—42no—
1736D4—42no—
1737D4—42no—
1738D4—42no—
1739D4—42no—
1740D4—42no—
1741D4—81no—
1742D4—81no—
1743D4—944no—
1744D4—942no—
1745D4—941no—
1746D4—941no—
1747D4—3761no—
1748D4—3761no—
1749D4—3761no—
1750D4—3761no—
1751D4—3761no—
1752D4—3761no—
1753D4—1881no—
1754D4—1882no—
1755D4—1881no—
1756D4—1882no—
1757D4—1882no—
1758D4—1882no—
1759D4—1882no—
1760D4—1882no—
1761D4—1882no—
1762D4—1882no—
1763D4—1882no—
1764D4#1309407012yes—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—42no—
1774C2×C4—81no—
1775C2×C4—81no—
1776C2×C4—471no—
1777C2×C4—471no—
1778C2×C4—471no—
1779C2×C4—471no—
1780C2×C4—471no—
1781C2×C4—944no—
1782C2×C4—941no—
1783C2×C4—941no—
1784C2×C4—941no—
1785C2×C4—941no—
1786C2×C4—941no—
1787C2×C4—941no—
1788C2×C4—941no—
1789C2×C4—941no—
1790C2×C4—941no—
1791C2×C4—941no—
1792C2×C4—941no—
1793C2×C4—941no—
1794C2×C4—941no—
1795C2×C4—3761no—
1796C2×C4—3761no—
1797C2×C4—3761no—
1798C2×C4—3761no—
1799C2×C4—3761no—
1800C2×C4—1881no—
1801C2×C4—1881no—
1802C2×C4—1881no—
1803C2×C4—1881no—
1804C2×C4—1881no—
1805C2×C4—1881no—
1806C2×C4—1882no—
1807C2×C4—1881no—
1808C2×C4—1881no—
1809C2×C4—1882no—
1810C2×C4—1882no—
1811C2×C4—1882no—
1812C2×C4—1882no—
1813C2×C4—1882no—
1814C2×C4—1882no—
1815C2×C4—1882no—
1816C2×C4—1882no—
1817C2×C4C2×D4×D4711yescharacteristic
1818C2×C4C2×D4×D4711yescharacteristic
1819C2×C4C2×D4×D4711yescharacteristic
1820C2×C4C2×D4×D4711yescharacteristic
1821C2×C4C24×D4711yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—941no—
1827C8—941no—
1828C8—941no—
1829C8—941no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—22no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—84no—
1848C22—84no—
1849C22—941no—
1850C22—941no—
1851C22—941no—
1852C22—941no—
1853C22—941no—
1854C22—941no—
1855C22—941no—
1856C22—941no—
1857C22—941no—
1858C22—3762no—
1859C22—3762no—
1860C22—1881no—
1861C22—1881no—
1862C22—1881no—
1863C22—7522no—
1864C22#1568991912yes—
1865C22C22×D4×D4711yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—941no—
1875C4—941no—
1876C4—941no—
1877C4—941no—
1878C4—941no—
1879C4—942no—
1880C4—1881no—
1881C4—1881no—
1882C4—1881no—
1883C4—1881no—
1884C4—1881no—
1885C4—1881no—
1886C4H(5,𝔽2)×D4711yescharacteristic
1887C4C2×#1309407011yescharacteristic
1888C2—22no—
1889C2—41no—
1890C2—42no—
1891C2—81no—
1892C2—81no—
1893C2—81no—
1894C2—3761no—
1895C2—1881no—
1896C2—1881no—
1897C2—1881no—
1898C2#2025701811yescharacteristic
1899C2C2×#1568991911yescharacteristic
1900C2#2025815611yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3318C2
socleC22×C47C23×D4
hypercenter#3318D47
hypocenterC47#61606
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #20257217C2semidirect
2. D4×#10625352C2semidirect
3. #20255654C2semidirect
4. #20255600C2semidirect
5. #20255553C2semidirect
6. #20255513C2semidirect
7. #20255481C2semidirect
8. #20255288C2semidirect
9. #20255234C2semidirect
10. #20255126C2semidirect
11. #20255099C2semidirect
12. #20255026C2semidirect
13. #20254999C2semidirect
14. #20254963C2semidirect
15. #20254934C2semidirect
16. #20254915C2semidirect
17. #20254879C2semidirect
18. #20254426C2semidirect
19. #20254362C2semidirect
20. #20254224C2semidirect
21. #20254217C2semidirect
22. #20254179C2semidirect
23. #20254148C2semidirect
24. #20253493C2semidirect
25. #20253411C2semidirect
26. #20252635C2semidirect
27. #20252632C2semidirect
28. #20252601C2semidirect
29. C2×#15689286C2semidirect
30. #20252418C2semidirect
31. C47×#3318C2semidirect
33. C22×#10625352C22semidirect
34. C2×#13094057C22semidirect
35. C2×#13094050C22semidirect
36. C2×#13094048C22semidirect
37. C2×#13094048C22semidirect
38. C2×#13094043C22semidirect
39. C2×#13094043C22semidirect
40. C22×Dic188C22semidirect
41. C22×#10625335C22semidirect
43. #15689821C22semidirect
45. #15689812C22semidirect
46. #15689811C22semidirect
50. D4×Dic94C22semidirect
53. #15689779C22semidirect
54. #15689779C22semidirect
57. #15689770C22semidirect
58. #15689768C22semidirect
60. #15689767C22semidirect
67. #15689671C22semidirect
69. #15689658C22semidirect
70. #15689655C22semidirect
71. #15689635C22semidirect
73. #15689633C22semidirect
74. #15689633C22semidirect
77. C2×#13094004C22semidirect
78. #121×D47C22semidirect
80. C4×#10625352C22semidirect
83. #15689517C22semidirect
84. #15689510C22semidirect
85. #15689506C22semidirect
86. #15689506C22semidirect
87. #15689493C22semidirect
88. #15689476C22semidirect
89. #15689476C22semidirect
90. #15689467C22semidirect
91. #15689467C22semidirect
92. #15689467C22semidirect
93. #15689464C22semidirect
94. #15689460C22semidirect
95. #15689458C22semidirect
96. #15689450C22semidirect
97. #15689446C22semidirect
98. #15689446C22semidirect
99. #15689440C22semidirect
100. #15689433C22semidirect
101. #15689427C22semidirect
102. #15689425C22semidirect
103. #15689382C22semidirect
104. #15689382C22semidirect
105. #15689381C22semidirect
106. #15689368C22semidirect
107. #15689368C22semidirect
108. #15689367C22semidirect
109. #15689367C22semidirect
110. #15689365C22semidirect
111. #15689358C22semidirect
112. #15689357C22semidirect
113. #15689353C22semidirect
114. #15689352C22semidirect
115. #15689351C22semidirect
116. #15689350C22semidirect
117. #15689346C22semidirect
118. #15689344C22semidirect
119. #15689344C22semidirect
120. #15689344C22semidirect
121. #15689338C22semidirect
122. #15689337C22semidirect
123. #15689337C22semidirect
124. #15689336C22semidirect
125. #15689334C22semidirect
126. #15689328C22semidirect
127. #15689320C22semidirect
128. #15689287C22semidirect
129. #15689286C22semidirect
130. #15689286C22semidirect
131. #15689286C22semidirect
132. #15689286C22semidirect
133. #15689286C22semidirect
134. #15689286C22semidirect
135. #15689286C22semidirect
136. #15689286C22semidirect
137. #15689286C22semidirect
138. #15689286C22semidirect
139. #15689286C22semidirect
140. #15689286C22semidirect
141. #15689286C22semidirect
142. #15689281C22semidirect
143. #15689281C22semidirect
144. #15689275C22semidirect
145. #15689274C22semidirect
147. #15689269C22semidirect
148. #15689269C22semidirect
149. #15689269C22semidirect
150. #15689269C22semidirect
151. #15689266C22semidirect
153. #15689265C22semidirect
154. #15689265C22semidirect
155. #15689265C22semidirect
156. #15689264C22semidirect
157. #15689261C22semidirect
158. #15689261C22semidirect
159. #15689261C22semidirect
160. #15689257C22semidirect
161. #15689255C22semidirect
162. #15689231C22semidirect
163. #15689223C22semidirect
164. #15689223C22semidirect
165. #15689217C22semidirect
166. #15689214C22semidirect
167. #15689210C22semidirect
168. #15689203C22semidirect
169. #15689199C22semidirect
170. #15689198C22semidirect
171. #15689196C22semidirect
172. #15689195C22semidirect
173. #15689193C22semidirect
174. C8×C22⋊D47C22semidirect
175. (C22⋊D47)⋊C8C22semidirect
176. #15689178C22semidirect
177. #15689175C22semidirect
178. #15689131C22semidirect
179. #15689121C22semidirect
180. #15689121C22semidirect
181. #15689116C22semidirect
182. #15689116C22semidirect
183. C2×#13093947C22semidirect
184. #15689086C22semidirect
185. #15689085C22semidirect
186. C2×(C2×D47)⋊C8C22semidirect
187. C22⋊C8×D47C22semidirect
189. D42×C47C22semidirect
190. C47×#490C22semidirect
191. C47×#482C22semidirect
192. C47×#481C22semidirect
193. C47×#478C22semidirect
194. C47×#469C22semidirect
195. C47×#466C22semidirect
196. C47×#459C22semidirect
197. C47×#447C22semidirect
198. C47×#447C22semidirect
199. C47×#442C22semidirect
200. C47×#435C22semidirect
201. C47×#418C22semidirect
202. C2×#102×C47C22semidirect
943. #3318D47semidirect
1015. D42C2×D47semidirect
1040. #490C2×D47semidirect
1052. #482C2×D47semidirect
1054. #481C2×D47semidirect
1058. #478C2×D47semidirect
1062. #469C2×D47semidirect
1070. #466C2×D47semidirect
1086. #459C2×D47semidirect
1121. #447C2×D47semidirect
1122. #447C2×D47semidirect
1123. #442C2×D47semidirect
1136. #435C2×D47semidirect
1142. #418C2×D47semidirect
1148. C2×#102C2×D47semidirect
1153. C47#61606semidirect

Maximal subgroups

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

subgroupindex
#202572172
D4×#106253522
#202556542
#202556002
#202555532
#202555132
#202554812
#202552882
#202552342
#202551262
#202550992
#202550262
#202549992
#202549632
#202549342
#202549152
#202548792
#202544262
#202543622
#202542242
#202542172
#202541792
#202541482
#202534932
#202534112
#202526352
#202526322
#202526012
C2×#156892862
#202524182
C47×#33182
#6160647