Finite Group Databasebeta

← #27101995

Subgroups — #27101995

Order 12032.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257707C211yesmaximal, characteristic, complemented
2#20257025C211yesmaximal, characteristic, complemented
3#20255691C211yesmaximal, characteristic, complemented
4#20255603C211yesmaximal, characteristic, complemented
5#20255542C211yesmaximal, characteristic, complemented
6#20255481C211yesmaximal, characteristic, complemented
7#20255358C211yesmaximal, characteristic, complemented
8#20255345C211yesmaximal, characteristic, complemented
9#20255312C211yesmaximal, characteristic, complemented
10#20255120C211yesmaximal, characteristic, complemented
11#20255076C211yesmaximal, characteristic, complemented
12#20254999C211yesmaximal, characteristic, complemented
13#20254989C211yesmaximal, characteristic, complemented
14#20254924C211yesmaximal, characteristic, complemented
15#20254910C211yesmaximal, characteristic, complemented
16#20254906C211yesmaximal, characteristic, complemented
17#20254874C211yesmaximal, characteristic, complemented
18#20254494C211yesmaximal, characteristic, complemented
19#20254452C211yesmaximal, characteristic, complemented
20#20254275C211yesmaximal, characteristic, complemented
21#20254254C211yesmaximal, characteristic, complemented
22#20254228C211yesmaximal, characteristic, complemented
23#20254148C211yesmaximal, characteristic, complemented
24#20253633C211yesmaximal, characteristic, complemented
25#20253568C211yesmaximal, characteristic, complemented
26#20252697C211yesmaximal, characteristic, complemented
27#20252651C211yesmaximal, characteristic, complemented
28#20252637C211yesmaximal, characteristic, complemented
29#20252608C211yesmaximal, characteristic, complemented
30#20252430C211yesmaximal, characteristic, complemented
31C47×#3297C211yesmaximal, characteristic, complemented
32C2×#13094069C2211yescharacteristic, complemented
33C2×#41×D47C2211yescharacteristic, complemented
34C2×#13094051C2211yescharacteristic, complemented
35C2×#13094050C2211yescharacteristic, complemented
36C2×#13094048C2211yescharacteristic, complemented
37C2×#13094048C2211yescharacteristic, complemented
38C2×#13094046C2211yescharacteristic, complemented
39C2×#13094046C2211yescharacteristic, complemented
40C2×#13094044C2211yescharacteristic, complemented
41C2×D8×D47C2211yescharacteristic, complemented
42#15689870—21no—
43#15689861—21no—
44#15689836C2211yescharacteristic, complemented
45#15689811C2211yescharacteristic, complemented
46#15689798—21no—
47#15689794C2211yescharacteristic, complemented
48#15689778C2211yescharacteristic, complemented
49#15689777C2211yescharacteristic
50#15689775C2211yescharacteristic, complemented
51#15689774C2211yescharacteristic, complemented
52#15689773—21no—
53#15689772C2211yescharacteristic, complemented
54#15689771—21no—
55#15689770C2211yescharacteristic, complemented
56#15689770C2211yescharacteristic, complemented
57#15689770C2211yescharacteristic, complemented
58#15689769—21no—
59#15689767C2211yescharacteristic, complemented
60#15689766C2211yescharacteristic
61#15689763—21no—
62#15689760—21no—
63D4×D188C2211yescharacteristic, complemented
64#15689738C2211yescharacteristic, complemented
65#15689729C2211yescharacteristic, complemented
66#15689724—21no—
67#15689712—21no—
68#15689704C2211yescharacteristic
69#15689696C2211yescharacteristic, complemented
70#15689693C2211yescharacteristic, complemented
71#15689689—21no—
72#15689689C2211yescharacteristic
73#15689684—21no—
74#15689683—21no—
75#15689681—21no—
76#15689635C2211yescharacteristic, complemented
77#15689633C2211yescharacteristic, complemented
78#15689632C2211yescharacteristic
79C2×#13094006—21no—
80#123×D47—21no—
81#121×D47C2211yescharacteristic, complemented
82#15689595C2211yescharacteristic, complemented
83#15689514C2211yescharacteristic, complemented
84#15689513C2211yescharacteristic, complemented
85#15689506C2211yescharacteristic, complemented
86#15689496C2211yescharacteristic, complemented
87#15689493C2211yescharacteristic, complemented
88#15689481C2211yescharacteristic, complemented
89#15689472C2211yescharacteristic, complemented
90#15689467C2211yescharacteristic, complemented
91#15689466C2211yescharacteristic, complemented
92#15689464C2211yescharacteristic, complemented
93#15689462C2211yescharacteristic, complemented
94#15689460C2211yescharacteristic, complemented
95#15689453C2211yescharacteristic, complemented
96#15689450C2211yescharacteristic, complemented
97#15689449C2211yescharacteristic, complemented
98#15689446C2211yescharacteristic, complemented
99#15689440C2211yescharacteristic, complemented
100#15689420C2211yescharacteristic, complemented
101#15689411C2211yescharacteristic, complemented
102#15689402C2211yescharacteristic, complemented
103#15689382C2211yescharacteristic, complemented
104#15689380C2211yescharacteristic, complemented
105#15689375C2211yescharacteristic, complemented
106#15689371C2211yescharacteristic, complemented
107#15689370C2211yescharacteristic, complemented
108#15689370C2211yescharacteristic, complemented
109#15689368C2211yescharacteristic, complemented
110#15689367C2211yescharacteristic, complemented
111#15689365C2211yescharacteristic, complemented
112#15689357C2211yescharacteristic, complemented
113#15689355C2211yescharacteristic, complemented
114#15689352C2211yescharacteristic, complemented
115#15689352C2211yescharacteristic, complemented
116#15689350C2211yescharacteristic, complemented
117#15689342C2211yescharacteristic, complemented
118#15689337C2211yescharacteristic, complemented
119#15689337C2211yescharacteristic, complemented
120#15689337C2211yescharacteristic, complemented
121#15689336C2211yescharacteristic, complemented
122#15689334C2211yescharacteristic, complemented
123#15689328C2211yescharacteristic, complemented
124#15689327C2211yescharacteristic, complemented
125#15689327C2211yescharacteristic, complemented
126#15689319C2211yescharacteristic, complemented
127#15689318C2211yescharacteristic, complemented
128#15689288C2211yescharacteristic, complemented
129#15689287C2211yescharacteristic, complemented
130#15689287C2211yescharacteristic, complemented
131#15689286C2211yescharacteristic, complemented
132#15689286C2211yescharacteristic, complemented
133#15689286C2211yescharacteristic, complemented
134#15689283C2211yescharacteristic, complemented
135#15689280C2211yescharacteristic, complemented
136#15689275C2211yescharacteristic, complemented
137#15689275C2211yescharacteristic, complemented
138#15689275C2211yescharacteristic, complemented
139#15689275C2211yescharacteristic, complemented
140#15689272C2211yescharacteristic, complemented
141#15689271C2211yescharacteristic, complemented
142#15689270C2211yescharacteristic, complemented
143#15689270C2211yescharacteristic, complemented
144#15689269C2211yescharacteristic, complemented
145#15689269C2211yescharacteristic, complemented
146#15689269C2211yescharacteristic, complemented
147#15689269C2211yescharacteristic, complemented
148#15689268C2211yescharacteristic, complemented
149#15689266C2211yescharacteristic, complemented
150#15689266C2211yescharacteristic, complemented
151#15689266C2211yescharacteristic, complemented
152#15689265C2211yescharacteristic
153#15689263C2211yescharacteristic, complemented
154#15689263C2211yescharacteristic, complemented
155#15689260C2211yescharacteristic, complemented
156#15689258C2211yescharacteristic, complemented
157#15689258C2211yescharacteristic, complemented
158#15689258C2211yescharacteristic, complemented
159#15689257C2211yescharacteristic, complemented
160#15689255C2211yescharacteristic
161#15689255C2211yescharacteristic, complemented
162#15689234C2211yescharacteristic, complemented
163#15689233C2211yescharacteristic, complemented
164#15689232C2211yescharacteristic, complemented
165#15689223C2211yescharacteristic, complemented
166C4×#10625325C2211yescharacteristic, complemented
167#15689205C2211yescharacteristic, complemented
168#15689203C2211yescharacteristic, complemented
169#15689202C2211yescharacteristic, complemented
170#15689198C2211yescharacteristic, complemented
171#15689195C2211yescharacteristic, complemented
172#15689194C2211yescharacteristic, complemented
173#15689193C2211yescharacteristic, complemented
174#15689191C2211yescharacteristic, complemented
175C8×C22⋊D47C2211yescharacteristic, complemented
176#15689183C2211yescharacteristic, complemented
177#15689182C2211yescharacteristic, complemented
178#15689126C2211yescharacteristic, complemented
179#15689123C2211yescharacteristic, complemented
180#15689122C2211yescharacteristic, complemented
181#15689121C2211yescharacteristic, complemented
182#15689117C2211yescharacteristic, complemented
183#15689116C2211yescharacteristic, complemented
184#15689089C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic, complemented
186#15689085C2211yescharacteristic, complemented
187C2×(C2×D47)⋊C8C2211yescharacteristic, complemented
188C47×#553C2211yescharacteristic, complemented
189C47×#546C2211yescharacteristic, complemented
190C47×#488C2211yescharacteristic, complemented
191C47×#484C2211yescharacteristic, complemented
192C47×#482C2211yescharacteristic, complemented
193C47×#478C2211yescharacteristic, complemented
194C47×#466C2211yescharacteristic, complemented
195C47×#465C2211yescharacteristic, complemented
196C47×#463C2211yescharacteristic, complemented
197C47×#449C2211yescharacteristic, complemented
198C47×#447C2211yescharacteristic, complemented
199C4×D8×C47C2211yescharacteristic, complemented
200C8×D4×C47C2211yescharacteristic, complemented
201C47×#416C2211yescharacteristic, complemented
202C2×#102×C47C2211yescharacteristic, complemented
203#13094069—42no—
204#13094069—42no—
205C2×#10625354C2311yescharacteristic
206C2×#10625350—21no—
207C2×#10625350—21no—
208C2×#10625350C2311yescharacteristic
209C2×#10625350C2311yescharacteristic
210C2×#10625350C2311yescharacteristic
211C2×#10625350C2311yescharacteristic
212C2×#10625350C2311yescharacteristic
213C2×#10625352—21no—
214C2×#10625352—21no—
215C2×#10625352C2311yescharacteristic
216C2×#10625352C2311yescharacteristic
217C2×#10625352C2311yescharacteristic
218#41×D47—42no—
219#41×D47—42no—
220C2×Q8×D47C2311yescharacteristic
221C22×D188—21no—
222C22×C22⋊D47—21no—
223C22×C22⋊D47—21no—
224C2×D4×D47—21no—
225C2×D4×D47—21no—
226C2×D4×D47—21no—
227C2×D4×D47C2311yescharacteristic
228C2×D4×D47C2311yescharacteristic
229C2×D4×D47C2311yescharacteristic
230C2×D4×D47C2311yescharacteristic
231C22×C4×D47—21no—
232C22×C4×D47C2311yescharacteristic
233#13094051—42no—
234#13094050—42no—
235#13094048—42no—
236#13094048—42no—
237#13094046—42no—
238#13094046—42no—
239#13094044—42no—
240C2×Dic188C2311yescharacteristic
241C2×Dic188C2311yescharacteristic
242C2×#10625337C2311yescharacteristic
243C2×#10625325C2311yescharacteristic
244C2×#10625325C2311yescharacteristic
245C2×#10625325C2311yescharacteristic
246C2×#10625325C2311yescharacteristic
247C2×#10625325C2311yescharacteristic
248C2×#10625335C2311yescharacteristic
249C2×#10625335C2311yescharacteristic
250C2×#10625335C2311yescharacteristic
251C2×#10625335C2311yescharacteristic
252C2×#10625336C2311yescharacteristic
253C2×#10625336C2311yescharacteristic
254C2×D376C2311yescharacteristic
255C2×D376C2311yescharacteristic
256C2×#10625334C2311yescharacteristic
257C2×#10625334C2311yescharacteristic
258C2×#10625334C2311yescharacteristic
259C2×#10625334C2311yescharacteristic
260C2×#10625334C2311yescharacteristic
261D8×D47—42no—
262C2×#10625329C2311yescharacteristic
263C2×#10625324C2311yescharacteristic
264C2×#10625324C2311yescharacteristic
265C2×#10625324C2311yescharacteristic
266C22×C47⋊C8C2311yescharacteristic
267C2×C8×D47C2311yescharacteristic
268#13094024C2311yescharacteristic
269#13094023—21no—
270#13094023C2311yescharacteristic
271#13094022C2311yescharacteristic
272#13094021C2311yescharacteristic
273#13094020—21no—
274#13094020—21no—
275#13094019—21no—
276#13094017—21no—
277#13094015—21no—
278#13094012—21no—
279#13094011C2311yescharacteristic
280#13094011C2311yescharacteristic
281#13094010—21no—
282#13094010—21no—
283#13094010—21no—
284#13094010—21no—
285#13094009—21no—
286#13094009—21no—
287#13094009—21no—
288#13094009—21no—
289#13094009—21no—
290#13094009—21no—
291#13094009D411yescharacteristic
292#13094008—21no—
293#13094008—21no—
294#13094008—21no—
295#13094007—21no—
296#13094007—21no—
297#13094007—21no—
298#13094006—21no—
299#13094006—21no—
300#13094006—21no—
301#13094006—21no—
302#13094006—21no—
303#13094006—21no—
304#13094006—21no—
305#13094006—21no—
306#13094006—21no—
307#13094006—21no—
308#13094006—21no—
309#13094006D411yescharacteristic
310#13094005—21no—
311#13094005—21no—
312#13094004—21no—
313#13094004C2311yescharacteristic
314#13094004C2311yescharacteristic
315#13094004C2311yescharacteristic
316#13094004C2311yescharacteristic
317#13094004C2311yescharacteristic
318#13094003—21no—
319#13094003C2311yescharacteristic
320#13094003C2311yescharacteristic
321#13094002—21no—
322#13094002D411yescharacteristic
323#13094001—21no—
324#13094001—21no—
325#13094001D411yescharacteristic
326#13094000C2311yescharacteristic
327#13093999—21no—
328#13093999—21no—
329#13093999—21no—
330#13093999C2311yescharacteristic
331#13093999C2311yescharacteristic
332#13093999C2311yescharacteristic
333#13093999C2311yescharacteristic
334#13093998—21no—
335#13093998—21no—
336#13093998—21no—
337#13093998—21no—
338#13093998C2311yescharacteristic
339#13093998C2311yescharacteristic
340#13093997—21no—
341#13093997—21no—
342#13093997—21no—
343#13093997—21no—
344#13093997—21no—
345#13093997—21no—
346#13093997D411yescharacteristic
347#13093996—21no—
348#13093996—21no—
349#13093996—21no—
350#13093996D411yescharacteristic
351#13093995—21no—
352#13093995—21no—
353#13093995—21no—
354#13093995—21no—
355#13093995C2311yescharacteristic
356#13093995C2311yescharacteristic
357#13093994—21no—
358#13093994—21no—
359#13093994—21no—
360#13093994—21no—
361#13093994—21no—
362#13093994D411yescharacteristic
363#13093993—21no—
364#13093992—21no—
365#13093992—21no—
366#13093992—21no—
367#13093992—21no—
368#13093992—21no—
369#13093992D411yescharacteristic
370C4×Dic94C2311yescharacteristic
371C4×D188—21no—
372C4×D188—21no—
373C4×D188C2311yescharacteristic
374C4×D188C2311yescharacteristic
375D4×Dic47—21no—
376D4×Dic47C2311yescharacteristic
377#13093986—21no—
378#13093986C2311yescharacteristic
379#13093986C2311yescharacteristic
380#13093986C2311yescharacteristic
381C4×C22⋊D47—21no—
382C4×C22⋊D47C2311yescharacteristic
383C4×C22⋊D47C2311yescharacteristic
384(C22⋊D47)⋊C4—21no—
385(C22⋊D47)⋊C4—21no—
386#13093982—21no—
387#13093982C2311yescharacteristic
388#13093982C2311yescharacteristic
389#13093981—21no—
390#13093981C2311yescharacteristic
391C2×C4⋊Dic47—21no—
392C2×Dic47⋊C4—21no—
393C4⋊C4×D47—21no—
394C4⋊C4×D47—21no—
395C4⋊C4×D47C2311yescharacteristic
396C2×C22⋊Dic47—21no—
397C2×(C2×D47)⋊C4—21no—
398C22⋊C4×D47—21no—
399C22⋊C4×D47—21no—
400C22⋊C4×D47—21no—
401C22⋊C4×D47—21no—
402C22⋊C4×D47—21no—
403C22⋊C4×D47—21no—
404#13093957C2311yescharacteristic
405#13093957C2311yescharacteristic
406#13093956C2311yescharacteristic
407#13093955C2311yescharacteristic
408#13093955C2311yescharacteristic
409C4⋊(C47⋊C8)C2311yescharacteristic
410Dic47⋊C8C2311yescharacteristic
411Dic47⋊C8C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093949C2311yescharacteristic
414#13093949C2311yescharacteristic
415#13093948C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093947C2311yescharacteristic
420#13093947C2311yescharacteristic
421#13093947C2311yescharacteristic
422#13093947C2311yescharacteristic
423#13093946C2311yescharacteristic
424#13093946C2311yescharacteristic
425#13093946C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431#13093944C2311yescharacteristic
432#13093944C2311yescharacteristic
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
445#13093934C2311yescharacteristic
446C8×Dic47C2311yescharacteristic
447C2×#41×C47C2311yescharacteristic
448C22×D4×C47C2311yescharacteristic
449C2×SD16×C47C2311yescharacteristic
450C2×D8×C47C2311yescharacteristic
451C2×D8×C47C2311yescharacteristic
452C22×C8×C47C2311yescharacteristic
453C22×C8×C47C2311yescharacteristic
454#126×C47—21no—
455#125×C47C2311yescharacteristic
456#124×C47C2311yescharacteristic
457#123×C47—21no—
458#123×C47—21no—
459C22⋊Q8×C47C2311yescharacteristic
460#121×C47—21no—
461#121×C47—21no—
462#121×C47C2311yescharacteristic
463#121×C47C2311yescharacteristic
464#121×C47C2311yescharacteristic
465#120×C47—21no—
466C4×D4×C47—21no—
467C4×D4×C47C2311yescharacteristic
468C4×D4×C47C2311yescharacteristic
469C4×D4×C47C2311yescharacteristic
470#117×C47C2311yescharacteristic
471C2×C4⋊C4×C47C2311yescharacteristic
472C2×C22⋊C4×C47—21no—
473#107×C47C2311yescharacteristic
474#107×C47C2311yescharacteristic
475#106×C47C2311yescharacteristic
476C4⋊C8×C47C2311yescharacteristic
477#103×C47C2311yescharacteristic
478#103×C47C2311yescharacteristic
479#103×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
489C4×C8×C47C2311yescharacteristic
490C24×C47—21no—
491C23×D47—21no—
492C23×D47—21no—
493C23×D47—21no—
494C23×D47—21no—
495C23×D47C2×D411yescharacteristic
496#41×C47—22no—
497#41×C47—41no—
498C2×Q8×C47C2411yescharacteristic
499C2×D4×C47—22no—
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×C47C2×D411yescharacteristic
507C2×D4×C47C2411yescharacteristic
508C2×D4×C47C2411yescharacteristic
509C2×D4×C47C2411yescharacteristic
510C22×C4×C47—21no—
511C22×C4×C47—21no—
512C22×C4×C47—21no—
513C22×C4×C47—21no—
514C22×C4×C47C2411yescharacteristic
515C22×C4×C47C2411yescharacteristic
516C2×C22⋊D47—21no—
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—44no—
532C2×C22⋊D47—44no—
533C2×C22⋊D47C2×D411yescharacteristic
534C2×C22⋊D47C2×D411yescharacteristic
535C2×C22⋊D47C2×D411yescharacteristic
536C2×C22⋊D47C2×D411yescharacteristic
537C22×Dic47—21no—
538C22×Dic47—21no—
539C22×Dic47—21no—
540C22×Dic47—21no—
541C22×Dic47C2×D411yescharacteristic
542#10625354—22no—
543#10625354—41no—
544Q8×D47—41no—
545Q8×D47—41no—
546#10625352—22no—
547#10625352—22no—
548#10625352—41no—
549#10625352—41no—
550#10625352—41no—
551#10625352—41no—
552#10625352—44no—
553#10625352—44no—
554D4×D47—22no—
555D4×D47—22no—
556D4×D47—22no—
557D4×D47—41no—
558D4×D47—41no—
559D4×D47—41no—
560D4×D47—41no—
561D4×D47—41no—
562D4×D47—44no—
563D4×D47—44no—
564D4×D47—82no—
565#10625350—22no—
566#10625350—22no—
567#10625350—41no—
568#10625350—41no—
569#10625350—41no—
570#10625350—41no—
571#10625350—41no—
572#10625350—41no—
573#10625350—41no—
574#10625350—41no—
575#10625350—44no—
576#10625350—82no—
577C2×D188—21no—
578C2×D188—21no—
579C2×D188—21no—
580C2×D188—21no—
581C2×D188—21no—
582C2×D188—21no—
583C2×D188—21no—
584C2×D188—82no—
585C2×D188C2×D411yescharacteristic
586C2×D188C2×D411yescharacteristic
587C2×D188C2411yescharacteristic
588C2×D188C2411yescharacteristic
589C2×D188C2411yescharacteristic
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—21no—
597C2×C4×D47—21no—
598C2×C4×D47—21no—
599C2×C4×D47—21no—
600C2×C4×D47—21no—
601C2×C4×D47—41no—
602C2×C4×D47—41no—
603C2×C4×D47—44no—
604C2×C4×D47C2×D411yescharacteristic
605C2×C4×D47C2×D411yescharacteristic
606C2×C4×D47C2411yescharacteristic
607C2×C4×D47C2411yescharacteristic
608C2×C4×D47C2411yescharacteristic
609C2×Dic94—21no—
610C2×Dic94—21no—
611C2×Dic94C2×D411yescharacteristic
612C2×Dic94C2411yescharacteristic
613C2×Dic94C2411yescharacteristic
614C2×Dic94C2411yescharacteristic
615SD16×C47—41no—
616D8×C47—22no—
617D8×C47—41no—
618C2×C8×C47—41no—
619C2×C8×C47—41no—
620C2×C8×C47C2411yescharacteristic
621C2×C8×C47C2411yescharacteristic
622C2×C8×C47C2411yescharacteristic
623C2×C8×C47C2411yescharacteristic
624C4⋊C4×C47—21no—
625C4⋊C4×C47—21no—
626C4⋊C4×C47—21no—
627C4⋊C4×C47—21no—
628C4⋊C4×C47C2×D411yescharacteristic
629C4⋊C4×C47C2411yescharacteristic
630C4⋊C4×C47C2411yescharacteristic
631C4⋊C4×C47C2411yescharacteristic
632C4⋊C4×C47C2411yescharacteristic
633C22⋊C4×C47—21no—
634C22⋊C4×C47—21no—
635C22⋊C4×C47—21no—
636C22⋊C4×C47—21no—
637C22⋊C4×C47—21no—
638C22⋊C4×C47—21no—
639C22⋊C4×C47—21no—
640C22⋊C4×C47—21no—
641C22⋊C4×C47—21no—
642C22⋊C4×C47C2×D411yescharacteristic
643C22⋊C4×C47C2×D411yescharacteristic
644C42×C47—21no—
645C42×C47C2411yescharacteristic
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⋊Dic47C2×D411yescharacteristic
656C22⋊Dic47C2×D411yescharacteristic
657#10625337—41no—
658#10625336—41no—
659#10625336—41no—
660#10625335—22no—
661#10625335—41no—
662#10625335—41no—
663#10625335—41no—
664#10625334—22no—
665#10625334—22no—
666#10625334—22no—
667#10625334—41no—
668#10625334—41no—
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)⋊C4—21no—
683(C2×D47)⋊C4—21no—
684(C2×D47)⋊C4—21no—
685(C2×D47)⋊C4—21no—
686(C2×D47)⋊C4—21no—
687(C2×D47)⋊C4C2×D411yescharacteristic
688(C2×D47)⋊C4C2×D411yescharacteristic
689(C2×D47)⋊C4C2×D411yescharacteristic
690(C2×D47)⋊C4C2×D411yescharacteristic
691(C2×D47)⋊C4C2×D411yescharacteristic
692(C2×D47)⋊C4C2×D411yescharacteristic
693C4⋊Dic47—21no—
694C4⋊Dic47—21no—
695C4⋊Dic47—21no—
696C4⋊Dic47—21no—
697C4⋊Dic47—21no—
698C4⋊Dic47—21no—
699C4⋊Dic47—21no—
700C4⋊Dic47C2×D411yescharacteristic
701C4⋊Dic47C2411yescharacteristic
702C4⋊Dic47C2411yescharacteristic
703Dic47⋊C4—21no—
704Dic47⋊C4—21no—
705Dic47⋊C4—21no—
706Dic47⋊C4—21no—
707Dic47⋊C4—21no—
708Dic47⋊C4—21no—
709Dic47⋊C4—21no—
710Dic47⋊C4—21no—
711Dic47⋊C4C2×D411yescharacteristic
712Dic47⋊C4C2×D411yescharacteristic
713Dic47⋊C4C2×D411yescharacteristic
714Dic47⋊C4C2×D411yescharacteristic
715C4×Dic47—21no—
716C4×Dic47—21no—
717C4×Dic47—21no—
718C4×Dic47C2411yescharacteristic
719#10625329—41no—
720C2×C47⋊C8—41no—
721C2×C47⋊C8C2411yescharacteristic
722C2×C47⋊C8C2411yescharacteristic
723C2×C47⋊C8C2411yescharacteristic
724C2×C47⋊C8C2411yescharacteristic
725Dic188—41no—
726Dic188—41no—
727D376—22no—
728D376—22no—
729#10625325—22no—
730#10625325—41no—
731#10625325—41no—
732#10625325—41no—
733#10625325—41no—
734#10625324—41no—
735#10625324—41no—
736#10625324—41no—
737C8×D47—41no—
738C23×C47—21no—
739C23×C47—21no—
740C23×C47—21no—
741C23×C47—42no—
742C23×C47—81no—
743C23×C47—81no—
744C23×C47C22×D411yescharacteristic
745C23×C47C22×D411yescharacteristic
746C22×D47—21no—
747C22×D47—24no—
748C22×D47—21no—
749C22×D47—21no—
750C22×D47—41no—
751C22×D47—41no—
752C22×D47—41no—
753C22×D47—42no—
754C22×D47—42no—
755C22×D47—81no—
756C22×D47—81no—
757C22×D47—81no—
758C22×D47—81no—
759C22×D47—81no—
760C22×D47—81no—
761C22×D47—81no—
762C22×D47—81no—
763C22×D47—81no—
764C22×D47C22×D411yescharacteristic
765C22×D47C22×D411yescharacteristic
766C22×D47C22×D411yescharacteristic
767Q8×C47—21no—
768Q8×C47—21no—
769D4×C47—21no—
770D4×C47—21no—
771D4×C47—21no—
772D4×C47—21no—
773D4×C47—21no—
774D4×C47—41no—
775D4×C47—42no—
776D4×C47—42no—
777D4×C47—81no—
778D4×C47—81no—
779D4×C47—81no—
780D4×C47H(5,𝔽2)12yes—
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—21no—
789C2×C4×C47—21no—
790C2×C4×C47—42no—
791C2×C4×C47—81no—
792C2×C4×C47—81no—
793C2×C4×C47—81no—
794C2×C4×C47C22×D411yescharacteristic
795C2×C4×C47C22×D411yescharacteristic
796C2×C4×C47C22×D411yescharacteristic
797C2×C4×C47C22×D411yescharacteristic
798C2×C4×C47C2511yescharacteristic
799C22⋊D47—24no—
800C22⋊D47—41no—
801C22⋊D47—41no—
802C22⋊D47—41no—
803C22⋊D47—41no—
804C22⋊D47—42no—
805C22⋊D47—42no—
806C22⋊D47—42no—
807C22⋊D47—42no—
808C22⋊D47—42no—
809C22⋊D47—42no—
810C22⋊D47—81no—
811C22⋊D47—81no—
812C22⋊D47—81no—
813C22⋊D47—81no—
814C22⋊D47—81no—
815C22⋊D47—81no—
816C22⋊D47—81no—
817C22⋊D47—81no—
818C2×Dic47—21no—
819C2×Dic47—21no—
820C2×Dic47—21no—
821C2×Dic47—21no—
822C2×Dic47—21no—
823C2×Dic47—41no—
824C2×Dic47—42no—
825C2×Dic47—42no—
826C2×Dic47—42no—
827C2×Dic47—81no—
828C2×Dic47C22×D411yescharacteristic
829C2×Dic47C22×D411yescharacteristic
830C2×Dic47C22×D411yescharacteristic
831C2×Dic47C22×D411yescharacteristic
832C2×Dic47C22×D411yescharacteristic
833D188—21no—
834D188—21no—
835D188—21no—
836D188—21no—
837D188—21no—
838D188—41no—
839D188—41no—
840D188—42no—
841D188—42no—
842D188—81no—
843D188—81no—
844D188—81no—
845D188—81no—
846D188—81no—
847D188H(5,𝔽2)12yes—
848C4×D47—21no—
849C4×D47—21no—
850C4×D47—21no—
851C4×D47—21no—
852C4×D47—21no—
853C4×D47—21no—
854C4×D47—41no—
855C4×D47—41no—
856C4×D47—42no—
857C4×D47—42no—
858C4×D47—42no—
859C4×D47—42no—
860C4×D47—42no—
861C4×D47—81no—
862C4×D47—81no—
863C4×D47—81no—
864C4×D47—81no—
865C4×D47—81no—
866C4×D47—81no—
867Dic94—21no—
868Dic94—21no—
869Dic94—21no—
870Dic94—21no—
871Dic94—21no—
872Dic94—21no—
873Dic94—41no—
874Dic94—42no—
875Dic94—81no—
876C8×C47—21no—
877C8×C47—21no—
878C8×C47—21no—
879C8×C47—21no—
880C47⋊C8—21no—
881C47⋊C8—21no—
882C47⋊C8—21no—
883C47⋊C8—21no—
884#61614—471nomaximal, Sylow
885C22×C47—21no—
886C22×C47—21no—
887C22×C47—21no—
888C22×C47—21no—
889C22×C47—22no—
890C22×C47—21no—
891C22×C47—21no—
892C22×C47—41no—
893C22×C47—41no—
894C22×C47—41no—
895C22×C47—41no—
896C22×C47—41no—
897C22×C47—41no—
898C22×C47—41no—
899C22×C47—41no—
900C22×C47—162no—
901C22×C47C23×D411yescharacteristic
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—21no—
911C2×D47—22no—
912C2×D47—41no—
913C2×D47—41no—
914C2×D47—41no—
915C2×D47—41no—
916C2×D47—41no—
917C2×D47—41no—
918C2×D47—41no—
919C2×D47—41no—
920C2×D47—84no—
921C2×D47—82no—
922C2×D47—162no—
923C2×D47—162no—
924C2×D47—162no—
925C4×C47—21no—
926C4×C47—21no—
927C4×C47—21no—
928C4×C47—21no—
929C4×C47—41no—
930C4×C47—41no—
931C4×C47—41no—
932C4×C47—41no—
933C4×C47—41no—
934C4×C47C2×H(5,𝔽2)11yescharacteristic
935C4×C47C2×H(5,𝔽2)11yescharacteristic
936Dic47—21no—
937Dic47—21no—
938Dic47—21no—
939Dic47—21no—
940Dic47—21no—
941Dic47—41no—
942Dic47—41no—
943Dic47—41no—
944Dic47—41no—
945Dic47—41no—
946#3542—471no—
947#3485—471no—
948#3330—471no—
949#3323—471no—
950#3319—471no—
951#3315—471no—
952#3307—471no—
953#3306—471no—
954#3303—471no—
955#3297D4711yescharacteristic, complemented
956#3284—471no—
957#3280—471no—
958#3273—471no—
959#3272—471no—
960#3268—471no—
961#3267—471no—
962#3267—471no—
963#3264—471no—
964#3225—471no—
965#3221—471no—
966#3201—471no—
967#3200—471no—
968#3197—471no—
969#3188—471no—
970#3122—471no—
971#3118—471no—
972#3012—471no—
973#3008—471no—
974#3006—471no—
975#3002—471no—
976#2976—471no—
977C2×C47—41no—
978C2×C47—42no—
979C2×C47—41no—
980C2×C47—81no—
981C2×C47—81no—
982C2×C47#348411yescharacteristic
983C2×C47#358411yescharacteristic
984C2×C47#358511yescharacteristic
985D47—41no—
986D47—41no—
987D47—41no—
988D47—42no—
989D47—81no—
990D47—81no—
991C2×H(5,𝔽2)—471no—
992C22×#41—471no—
993C2×AGL(1,ℤ/8)—471no—
994C2×AGL(1,ℤ/8)—471no—
995C2×AGL(1,ℤ/8)—471no—
996C2×AGL(1,ℤ/8)—471no—
997C2×#135—471no—
998C2×#135—471no—
999C2×#135—471no—
1000C22×D8—471no—
1001#562—941no—
1002#560—941no—
1003#555—471no—
1004#553C2×D4711yescharacteristic, complemented
1005#552—471no—
1006#551—941no—
1007#550—471no—
1008#547—471no—
1009#547—471no—
1010#547—471no—
1011#547—471no—
1012#547—471no—
1013#547—941no—
1014#547—941no—
1015#546—471no—
1016#546—471no—
1017#546—471no—
1018#546—471no—
1019#546—471no—
1020#546—941no—
1021#546—941no—
1022#546—941no—
1023#546C2×D4711yescharacteristic, complemented
1024D42—471no—
1025#542—471no—
1026#540—471no—
1027#540—941no—
1028#538—941no—
1029#537—471no—
1030#536—471no—
1031#536—471no—
1032#535—471no—
1033#535—941no—
1034#534—941no—
1035#534—941no—
1036#534—941no—
1037#525—471no—
1038#525—471no—
1039#525—471no—
1040C2×#123—941no—
1041C2×#123—941no—
1042C2×#121—471no—
1043#518—471no—
1044#497—471no—
1045#496—471no—
1046#495—471no—
1047#492—471no—
1048#491—471no—
1049#489—471no—
1050#488C2×D4711yescharacteristic, complemented
1051#487—471no—
1052#485—471no—
1053#485—471no—
1054#485—471no—
1055#485—471no—
1056#484—471no—
1057#484C2×D4711yescharacteristic, complemented
1058#483—471no—
1059#482—471no—
1060#482—471no—
1061#482—471no—
1062#482C2×D4711yescharacteristic, complemented
1063#481—471no—
1064#478—471no—
1065#478C2×D4711yescharacteristic, complemented
1066#476—471no—
1067#474—471no—
1068#470—471no—
1069#470—471no—
1070#469—471no—
1071#468—471no—
1072#468—471no—
1073#468—471no—
1074#468—471no—
1075#468—471no—
1076#467—471no—
1077#466—471no—
1078#466C2×D4711yescharacteristic, complemented
1079#465—471no—
1080#465—471no—
1081#465—471no—
1082#465—471no—
1083#465C2×D4711yescharacteristic, complemented
1084#464—471no—
1085#463—471no—
1086#463—471no—
1087#463—471no—
1088#463—471no—
1089#463C2×D4711yescharacteristic, complemented
1090#462—471no—
1091#461—471no—
1092#461—471no—
1093#461—471no—
1094#459—471no—
1095#459—471no—
1096#452—471no—
1097#452—471no—
1098#452—471no—
1099#452—471no—
1100#452—471no—
1101#452—471no—
1102#452—471no—
1103#451—471no—
1104#450—471no—
1105#450—471no—
1106#450—471no—
1107#450—471no—
1108#450—471no—
1109#449—471no—
1110#449—471no—
1111#449—471no—
1112#449—471no—
1113#449—471no—
1114#449—471no—
1115#449—471no—
1116#449—471no—
1117#449—471no—
1118#449—471no—
1119#449—471no—
1120#449—471no—
1121#449C2×D4711yescharacteristic, complemented
1122#448—471no—
1123#448—471no—
1124#448—471no—
1125#447—471no—
1126#447—471no—
1127#447—471no—
1128#447—471no—
1129#447—471no—
1130#447—471no—
1131#447C2×D4711yescharacteristic, complemented
1132#442—471no—
1133#442—471no—
1134#442—471no—
1135#440—471no—
1136C4×SD16—471no—
1137C4×D8—471no—
1138C4×D8—471no—
1139C4×D8C2×D4711yescharacteristic, complemented
1140#436—471no—
1141#436—471no—
1142#435—471no—
1143#435—471no—
1144#435—471no—
1145#435—471no—
1146C8×D4—471no—
1147C8×D4C2×D4711yescharacteristic, complemented
1148#433—471no—
1149#433—471no—
1150#418—471no—
1151#417—471no—
1152#417—471no—
1153#417—471no—
1154#416—471no—
1155#416—471no—
1156#416C2×D4711yescharacteristic, complemented
1157C2×#102C2×D4711yescharacteristic, complemented
1158#408—471no—
1159#408—471no—
1160#407—471no—
1161C2×C22⋊C8—471no—
1162C47#6161411yescharacteristic, complemented, Sylow
1163H(5,𝔽2)—1882no—
1164H(5,𝔽2)—1882no—
1165C2×#41—471no—
1166C2×#41—471no—
1167C2×#41—471no—
1168C2×#41—471no—
1169C2×#41—471no—
1170C2×#41—471no—
1171C2×#41—471no—
1172C2×#41—471no—
1173C2×#41—471no—
1174C2×#41—941no—
1175C2×#41—941no—
1176C2×#41—941no—
1177C2×#41—941no—
1178C2×#41—1882no—
1179C2×#41—1882no—
1180C2×#41C22×D4711yescharacteristic
1181C22×Q8—471no—
1182C22×D4—471no—
1183C22×D4—471no—
1184C22×D4—471no—
1185C22×D4—471no—
1186C22×D4—941no—
1187C22×D4—941no—
1188C22×D4—941no—
1189C22×D4—941no—
1190C22×D4—941no—
1191C22×D4—941no—
1192C22×D4C22×D4711yescharacteristic
1193C23×C4—471no—
1194C23×C4—941no—
1195AGL(1,ℤ/8)—1882no—
1196AGL(1,ℤ/8)—1882no—
1197AGL(1,ℤ/8)—1882no—
1198AGL(1,ℤ/8)—1882no—
1199#135—1882no—
1200#135—1882no—
1201#135—1882no—
1202C2×Q16—471no—
1203C2×Q16—471no—
1204C2×Q16—471no—
1205C2×SD16—471no—
1206C2×SD16—471no—
1207C2×SD16—471no—
1208C2×SD16—471no—
1209C2×SD16—471no—
1210C2×SD16—471no—
1211C2×SD16—471no—
1212C2×SD16—471no—
1213C2×SD16—471no—
1214C2×SD16—471no—
1215C2×SD16—471no—
1216C2×SD16C22×D4711yescharacteristic
1217C2×D8—471no—
1218C2×D8—471no—
1219C2×D8—471no—
1220C2×D8—471no—
1221C2×D8—471no—
1222C2×D8—471no—
1223C2×D8—471no—
1224C2×D8—1882no—
1225C2×D8C22×D4711yescharacteristic
1226C2×D8C22×D4711yescharacteristic
1227C2×M16—471no—
1228C2×M16—471no—
1229C2×M16—471no—
1230C2×M16—471no—
1231C22×C8—471no—
1232C22×C8—471no—
1233C22×C8C22×D4711yescharacteristic
1234C22×C8C22×D4711yescharacteristic
1235C4⋊Q8—471no—
1236C4⋊Q8—471no—
1237C4⋊Q8—471no—
1238C4⋊Q8—941no—
1239#127—471no—
1240#127—941no—
1241#127—941no—
1242#126—21no—
1243#126—941no—
1244#126—941no—
1245#125—941no—
1246#125C22×D4711yescharacteristic
1247#124—471no—
1248#124—471no—
1249#124—941no—
1250#124—941no—
1251#124—941no—
1252#124—941no—
1253#124—941no—
1254#124C22×D4711yescharacteristic
1255#123—21no—
1256#123—21no—
1257#123—471no—
1258#123—471no—
1259#123—941no—
1260#123—941no—
1261#123—941no—
1262#123—941no—
1263#123—941no—
1264#123—941no—
1265#123—941no—
1266#123—941no—
1267#123—941no—
1268#123—941no—
1269#123—941no—
1270#123—941no—
1271#123—941no—
1272#123—941no—
1273#123—941no—
1274#123—941no—
1275#123—941no—
1276#123—941no—
1277#123—941no—
1278#123—941no—
1279#123—941no—
1280#123—941no—
1281#123—941no—
1282#123—941no—
1283#123—941no—
1284C22⋊Q8—471no—
1285C22⋊Q8—471no—
1286C22⋊Q8—471no—
1287C22⋊Q8—471no—
1288C22⋊Q8—471no—
1289C22⋊Q8—471no—
1290C22⋊Q8—471no—
1291C22⋊Q8—471no—
1292C22⋊Q8—471no—
1293C22⋊Q8—471no—
1294C22⋊Q8—941no—
1295C22⋊Q8—941no—
1296C22⋊Q8—941no—
1297C22⋊Q8—941no—
1298C22⋊Q8—941no—
1299C22⋊Q8C22×D4711yescharacteristic
1300#121—21no—
1301#121—21no—
1302#121—471no—
1303#121—471no—
1304#121—471no—
1305#121—471no—
1306#121—471no—
1307#121—471no—
1308#121—471no—
1309#121—471no—
1310#121—471no—
1311#121—471no—
1312#121—941no—
1313#121—941no—
1314#121—941no—
1315#121—941no—
1316#121—941no—
1317#121—941no—
1318#121—941no—
1319#121—941no—
1320#121—941no—
1321#121—941no—
1322#121—941no—
1323#121—941no—
1324#121—941no—
1325#121—941no—
1326#121—941no—
1327#121—941no—
1328#121—941no—
1329#121—941no—
1330#121—941no—
1331#121—941no—
1332#121C22×D4711yescharacteristic
1333#121C22×D4711yescharacteristic
1334#121C22×D4711yescharacteristic
1335#120—21no—
1336#120—471no—
1337#120—471no—
1338#120—941no—
1339#120—941no—
1340#120—941no—
1341#120—941no—
1342#120—941no—
1343#120—941no—
1344#120—941no—
1345#120—941no—
1346#120—941no—
1347#120—941no—
1348#120—941no—
1349C4×Q8—471no—
1350C4×D4—21no—
1351C4×D4—471no—
1352C4×D4—471no—
1353C4×D4—471no—
1354C4×D4—471no—
1355C4×D4—471no—
1356C4×D4—471no—
1357C4×D4—471no—
1358C4×D4—471no—
1359C4×D4—941no—
1360C4×D4—941no—
1361C4×D4—941no—
1362C4×D4—941no—
1363C4×D4—941no—
1364C4×D4—941no—
1365C4×D4—941no—
1366C4×D4C22×D4711yescharacteristic
1367C4×D4C22×D4711yescharacteristic
1368C4×D4C22×D4711yescharacteristic
1369#117—471no—
1370#117—471no—
1371#117—471no—
1372#117—941no—
1373#117—941no—
1374#117C22×D4711yescharacteristic
1375C2×C4⋊C4—471no—
1376C2×C4⋊C4—941no—
1377C2×C4⋊C4—941no—
1378C2×C4⋊C4—941no—
1379C2×C4⋊C4—941no—
1380C2×C4⋊C4C22×D4711yescharacteristic
1381C2×C22⋊C4—21no—
1382C2×C22⋊C4—941no—
1383C2×C22⋊C4—941no—
1384C2×C22⋊C4—941no—
1385C2×C22⋊C4—941no—
1386C2×C22⋊C4—941no—
1387C2×C22⋊C4—941no—
1388C2×C22⋊C4—941no—
1389C2×C22⋊C4—941no—
1390#107—471no—
1391#107—471no—
1392#107C22×D4711yescharacteristic
1393#107C22×D4711yescharacteristic
1394#106—471no—
1395#106—471no—
1396#106—471no—
1397#106C22×D4711yescharacteristic
1398C4⋊C8—471no—
1399C4⋊C8—471no—
1400C4⋊C8—471no—
1401C4⋊C8C22×D4711yescharacteristic
1402#103—471no—
1403#103—471no—
1404#103—471no—
1405#103—471no—
1406#103—471no—
1407#103—471no—
1408#103—471no—
1409#103—471no—
1410#103—471no—
1411#103—471no—
1412#103—471no—
1413#103C22×D4711yescharacteristic
1414#103C22×D4711yescharacteristic
1415#103C22×D4711yescharacteristic
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—
1425#102—471no—
1426#102—471no—
1427#102C22×D4711yescharacteristic
1428#102C22×D4711yescharacteristic
1429#102C22×D4711yescharacteristic
1430#102C22×D4711yescharacteristic
1431#102C22×D4711yescharacteristic
1432#102C22×D4711yescharacteristic
1433#102C22×D4711yescharacteristic
1434C22⋊C8—471no—
1435C22⋊C8—471no—
1436C22⋊C8—471no—
1437C22⋊C8—471no—
1438C22⋊C8—471no—
1439C22⋊C8—471no—
1440C22⋊C8—471no—
1441C22⋊C8—471no—
1442C22⋊C8—471no—
1443C22⋊C8—471no—
1444C22⋊C8C22×D4711yescharacteristic
1445C22⋊C8C22×D4711yescharacteristic
1446#97—471no—
1447#97—471no—
1448C4×C8—471no—
1449C4×C8C22×D4711yescharacteristic
1450C24—21no—
1451C24—471no—
1452C24—941no—
1453C24—941no—
1454C24—941no—
1455C24—941no—
1456#41—22no—
1457#41—41no—
1458#41—942no—
1459#41—942no—
1460#41—942no—
1461#41—942no—
1462#41—942no—
1463#41—3762no—
1464#41—1881no—
1465#41—1881no—
1466#41—1881no—
1467#41—1881no—
1468#41—1881no—
1469#41—1881no—
1470#41—1881no—
1471#41—1881no—
1472#41—1884no—
1473#41—1881no—
1474#41—1881no—
1475#41—1881no—
1476#41—1881no—
1477#41—1881no—
1478#41—1884no—
1479#41—1884no—
1480C2×Q8—471no—
1481C2×Q8—471no—
1482C2×Q8—471no—
1483C2×Q8—471no—
1484C2×Q8—941no—
1485C2×Q8—941no—
1486C2×Q8—1881no—
1487C2×Q8—1881no—
1488C2×Q8C23×D4711yescharacteristic
1489C2×D4—22no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—41no—
1496C2×D4—471no—
1497C2×D4—471no—
1498C2×D4—471no—
1499C2×D4—471no—
1500C2×D4—471no—
1501C2×D4—471no—
1502C2×D4—471no—
1503C2×D4—471no—
1504C2×D4—471no—
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—942no—
1515C2×D4—942no—
1516C2×D4—942no—
1517C2×D4—941no—
1518C2×D4—941no—
1519C2×D4—941no—
1520C2×D4—941no—
1521C2×D4—941no—
1522C2×D4—941no—
1523C2×D4—941no—
1524C2×D4—941no—
1525C2×D4—941no—
1526C2×D4—941no—
1527C2×D4—941no—
1528C2×D4—941no—
1529C2×D4—941no—
1530C2×D4—3762no—
1531C2×D4—3762no—
1532C2×D4—1881no—
1533C2×D4—1881no—
1534C2×D4—1881no—
1535C2×D4—1881no—
1536C2×D4—1881no—
1537C2×D4—1884no—
1538C2×D4—1884no—
1539C2×D4—1884no—
1540C2×D4—1884no—
1541C2×D4D4×D4711yescharacteristic
1542C2×D4C23×D4711yescharacteristic
1543C2×D4C23×D4711yescharacteristic
1544C2×D4C23×D4711yescharacteristic
1545C22×C4—21no—
1546C22×C4—21no—
1547C22×C4—21no—
1548C22×C4—21no—
1549C22×C4—471no—
1550C22×C4—471no—
1551C22×C4—471no—
1552C22×C4—471no—
1553C22×C4—471no—
1554C22×C4—471no—
1555C22×C4—941no—
1556C22×C4—941no—
1557C22×C4—941no—
1558C22×C4—941no—
1559C22×C4—941no—
1560C22×C4—941no—
1561C22×C4—941no—
1562C22×C4—941no—
1563C22×C4—941no—
1564C22×C4—941no—
1565C22×C4—941no—
1566C22×C4—941no—
1567C22×C4—941no—
1568C22×C4—941no—
1569C22×C4—941no—
1570C22×C4—1881no—
1571C22×C4—1881no—
1572C22×C4—1884no—
1573C22×C4C23×D4711yescharacteristic
1574C22×C4C23×D4711yescharacteristic
1575Q16—1881no—
1576Q16—1881no—
1577Q16—1881no—
1578SD16—41no—
1579SD16—942no—
1580SD16—942no—
1581SD16—1881no—
1582SD16—1881no—
1583SD16—1881no—
1584SD16—1881no—
1585SD16—1881no—
1586SD16—1881no—
1587SD16—1881no—
1588SD16—1881no—
1589SD16—1881no—
1590D8—22no—
1591D8—41no—
1592D8—942no—
1593D8—942no—
1594D8—942no—
1595D8—942no—
1596D8—942no—
1597D8—1881no—
1598D8—1881no—
1599M16—1881no—
1600M16—1881no—
1601M16—1881no—
1602M16—1881no—
1603C2×C8—41no—
1604C2×C8—41no—
1605C2×C8—471no—
1606C2×C8—471no—
1607C2×C8—471no—
1608C2×C8—471no—
1609C2×C8—1881no—
1610C2×C8—1881no—
1611C2×C8C23×D4711yescharacteristic
1612C2×C8C23×D4711yescharacteristic
1613C2×C8C23×D4711yescharacteristic
1614C2×C8C23×D4711yescharacteristic
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—471no—
1620C4⋊C4—471no—
1621C4⋊C4—471no—
1622C4⋊C4—471no—
1623C4⋊C4—471no—
1624C4⋊C4—471no—
1625C4⋊C4—471no—
1626C4⋊C4—941no—
1627C4⋊C4—941no—
1628C4⋊C4—941no—
1629C4⋊C4—941no—
1630C4⋊C4—941no—
1631C4⋊C4—941no—
1632C4⋊C4—941no—
1633C4⋊C4—941no—
1634C4⋊C4—941no—
1635C4⋊C4—941no—
1636C4⋊C4—941no—
1637C4⋊C4—941no—
1638C4⋊C4—941no—
1639C4⋊C4—941no—
1640C4⋊C4—941no—
1641C4⋊C4D4×D4711yescharacteristic
1642C4⋊C4C23×D4711yescharacteristic
1643C4⋊C4C23×D4711yescharacteristic
1644C4⋊C4C23×D4711yescharacteristic
1645C4⋊C4C23×D4711yescharacteristic
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—471no—
1656C22⋊C4—471no—
1657C22⋊C4—471no—
1658C22⋊C4—471no—
1659C22⋊C4—471no—
1660C22⋊C4—471no—
1661C22⋊C4—471no—
1662C22⋊C4—471no—
1663C22⋊C4—941no—
1664C22⋊C4—941no—
1665C22⋊C4—941no—
1666C22⋊C4—941no—
1667C22⋊C4—941no—
1668C22⋊C4—941no—
1669C22⋊C4—941no—
1670C22⋊C4—941no—
1671C22⋊C4—941no—
1672C22⋊C4—941no—
1673C22⋊C4—941no—
1674C22⋊C4—941no—
1675C22⋊C4—941no—
1676C22⋊C4—941no—
1677C22⋊C4—941no—
1678C22⋊C4—941no—
1679C22⋊C4—941no—
1680C22⋊C4—941no—
1681C22⋊C4—941no—
1682C22⋊C4—941no—
1683C22⋊C4—941no—
1684C22⋊C4—941no—
1685C22⋊C4—941no—
1686C22⋊C4—941no—
1687C22⋊C4—941no—
1688C22⋊C4—941no—
1689C22⋊C4—941no—
1690C22⋊C4D4×D4711yescharacteristic
1691C22⋊C4D4×D4711yescharacteristic
1692C42—21no—
1693C42—471no—
1694C42—941no—
1695C42—941no—
1696C42—941no—
1697C42C23×D4711yescharacteristic
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—42no—
1702C23—81no—
1703C23—81no—
1704C23—471no—
1705C23—471no—
1706C23—471no—
1707C23—944no—
1708C23—941no—
1709C23—941no—
1710C23—941no—
1711C23—3761no—
1712C23—3761no—
1713C23—3761no—
1714C23—3761no—
1715C23—3761no—
1716C23—3761no—
1717C23—3761no—
1718C23—3761no—
1719C23—3761no—
1720C23—1881no—
1721C23—1881no—
1722C23—1881no—
1723C23—1882no—
1724C23—1882no—
1725C23C2×D4×D4711yescharacteristic
1726C23C2×D4×D4711yescharacteristic
1727Q8—21no—
1728Q8—21no—
1729Q8—941no—
1730Q8—941no—
1731Q8—941no—
1732Q8—941no—
1733Q8—941no—
1734Q8—941no—
1735Q8—3761no—
1736Q8—1881no—
1737Q8—1882no—
1738D4—21no—
1739D4—21no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—41no—
1744D4—42no—
1745D4—42no—
1746D4—81no—
1747D4—81no—
1748D4—81no—
1749D4—472no—
1750D4—944no—
1751D4—941no—
1752D4—941no—
1753D4—941no—
1754D4—941no—
1755D4—941no—
1756D4—3761no—
1757D4—3761no—
1758D4—3761no—
1759D4—3761no—
1760D4—3761no—
1761D4—3761no—
1762D4—3761no—
1763D4—3761no—
1764D4—3761no—
1765D4—3761no—
1766D4—3761no—
1767D4—3761no—
1768D4—3761no—
1769D4—1881no—
1770D4—1881no—
1771D4—1882no—
1772D4—1882no—
1773D4—1881no—
1774D4—1881no—
1775D4—1881no—
1776D4—1881no—
1777D4—1882no—
1778D4—1882no—
1779D4—1882no—
1780D4—1882no—
1781D4—1882no—
1782D4—1882no—
1783D4#1309407012yes—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—42no—
1794C2×C4—81no—
1795C2×C4—81no—
1796C2×C4—81no—
1797C2×C4—471no—
1798C2×C4—471no—
1799C2×C4—471no—
1800C2×C4—471no—
1801C2×C4—471no—
1802C2×C4—941no—
1803C2×C4—941no—
1804C2×C4—941no—
1805C2×C4—941no—
1806C2×C4—941no—
1807C2×C4—941no—
1808C2×C4—941no—
1809C2×C4—941no—
1810C2×C4—941no—
1811C2×C4—941no—
1812C2×C4—941no—
1813C2×C4—3761no—
1814C2×C4—3761no—
1815C2×C4—3761no—
1816C2×C4—3761no—
1817C2×C4—3761no—
1818C2×C4—3761no—
1819C2×C4—3761no—
1820C2×C4—1881no—
1821C2×C4—1881no—
1822C2×C4—1882no—
1823C2×C4—1882no—
1824C2×C4—1882no—
1825C2×C4—1882no—
1826C2×C4—1882no—
1827C2×C4—1881no—
1828C2×C4—1882no—
1829C2×C4—1882no—
1830C2×C4—1882no—
1831C2×C4C2×D4×D4711yescharacteristic
1832C2×C4C2×D4×D4711yescharacteristic
1833C2×C4C2×D4×D4711yescharacteristic
1834C2×C4C2×D4×D4711yescharacteristic
1835C2×C4C24×D4711yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—941no—
1841C8—941no—
1842C8—941no—
1843C8—941no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—22no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—162no—
1860C22—941no—
1861C22—941no—
1862C22—941no—
1863C22—941no—
1864C22—941no—
1865C22—941no—
1866C22—941no—
1867C22—941no—
1868C22—941no—
1869C22—942no—
1870C22—3764no—
1871C22—3762no—
1872C22—1881no—
1873C22—1881no—
1874C22—1881no—
1875C22—1881no—
1876C22—1881no—
1877C22—1881no—
1878C22—1881no—
1879C22—1881no—
1880C22—7522no—
1881C22—7522no—
1882C22—7522no—
1883C22C22×D4×D4711yescharacteristic
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—21no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—941no—
1894C4—941no—
1895C4—941no—
1896C4—941no—
1897C4—941no—
1898C4—1881no—
1899C4—1881no—
1900C4—1881no—
1901C4—1881no—
1902C4—1881no—
1903C4H(5,𝔽2)×D4711yescharacteristic
1904C4C2×#1309407011yescharacteristic
1905C2—41no—
1906C2—41no—
1907C2—42no—
1908C2—81no—
1909C2—81no—
1910C2—3761no—
1911C2—3761no—
1912C2—1881no—
1913C2—1881no—
1914C2—1881no—
1915C2—1882no—
1916C2#2025701811yescharacteristic
1917C2#2025815711yescharacteristic
1918C2#2025816311yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3297C2
socleC22×C47C23×D4
hypercenter#3297D47
hypocenterC47#61614
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3297

Complements

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

NH ≅ G/Ntype
1. #20257707C2semidirect
2. #20257025C2semidirect
3. #20255691C2semidirect
4. #20255603C2semidirect
5. #20255542C2semidirect
6. #20255481C2semidirect
7. #20255358C2semidirect
8. #20255345C2semidirect
9. #20255312C2semidirect
10. #20255120C2semidirect
11. #20255076C2semidirect
12. #20254999C2semidirect
13. #20254989C2semidirect
14. #20254924C2semidirect
15. #20254910C2semidirect
16. #20254906C2semidirect
17. #20254874C2semidirect
18. #20254494C2semidirect
19. #20254452C2semidirect
20. #20254275C2semidirect
21. #20254254C2semidirect
22. #20254228C2semidirect
23. #20254148C2semidirect
24. #20253633C2semidirect
25. #20253568C2semidirect
26. #20252697C2semidirect
27. #20252651C2semidirect
28. #20252637C2semidirect
29. #20252608C2semidirect
30. #20252430C2semidirect
31. C47×#3297C2semidirect
32. C2×#13094069C22semidirect
33. C2×#41×D47C22semidirect
34. C2×#13094051C22semidirect
35. C2×#13094050C22semidirect
36. C2×#13094048C22semidirect
37. C2×#13094048C22semidirect
38. C2×#13094046C22semidirect
39. C2×#13094046C22semidirect
40. C2×#13094044C22semidirect
41. C2×D8×D47C22semidirect
44. #15689836C22semidirect
45. #15689811C22semidirect
47. #15689794C22semidirect
48. #15689778C22semidirect
50. #15689775C22semidirect
51. #15689774C22semidirect
53. #15689772C22semidirect
55. #15689770C22semidirect
56. #15689770C22semidirect
57. #15689770C22semidirect
59. #15689767C22semidirect
63. D4×D188C22semidirect
64. #15689738C22semidirect
65. #15689729C22semidirect
69. #15689696C22semidirect
70. #15689693C22semidirect
76. #15689635C22semidirect
77. #15689633C22semidirect
81. #121×D47C22semidirect
82. #15689595C22semidirect
83. #15689514C22semidirect
84. #15689513C22semidirect
85. #15689506C22semidirect
86. #15689496C22semidirect
87. #15689493C22semidirect
88. #15689481C22semidirect
89. #15689472C22semidirect
90. #15689467C22semidirect
91. #15689466C22semidirect
92. #15689464C22semidirect
93. #15689462C22semidirect
94. #15689460C22semidirect
95. #15689453C22semidirect
96. #15689450C22semidirect
97. #15689449C22semidirect
98. #15689446C22semidirect
99. #15689440C22semidirect
100. #15689420C22semidirect
101. #15689411C22semidirect
102. #15689402C22semidirect
103. #15689382C22semidirect
104. #15689380C22semidirect
105. #15689375C22semidirect
106. #15689371C22semidirect
107. #15689370C22semidirect
108. #15689370C22semidirect
109. #15689368C22semidirect
110. #15689367C22semidirect
111. #15689365C22semidirect
112. #15689357C22semidirect
113. #15689355C22semidirect
114. #15689352C22semidirect
115. #15689352C22semidirect
116. #15689350C22semidirect
117. #15689342C22semidirect
118. #15689337C22semidirect
119. #15689337C22semidirect
120. #15689337C22semidirect
121. #15689336C22semidirect
122. #15689334C22semidirect
123. #15689328C22semidirect
124. #15689327C22semidirect
125. #15689327C22semidirect
126. #15689319C22semidirect
127. #15689318C22semidirect
128. #15689288C22semidirect
129. #15689287C22semidirect
130. #15689287C22semidirect
131. #15689286C22semidirect
132. #15689286C22semidirect
133. #15689286C22semidirect
134. #15689283C22semidirect
135. #15689280C22semidirect
136. #15689275C22semidirect
137. #15689275C22semidirect
138. #15689275C22semidirect
139. #15689275C22semidirect
140. #15689272C22semidirect
141. #15689271C22semidirect
142. #15689270C22semidirect
143. #15689270C22semidirect
144. #15689269C22semidirect
145. #15689269C22semidirect
146. #15689269C22semidirect
147. #15689269C22semidirect
148. #15689268C22semidirect
149. #15689266C22semidirect
150. #15689266C22semidirect
151. #15689266C22semidirect
153. #15689263C22semidirect
154. #15689263C22semidirect
155. #15689260C22semidirect
156. #15689258C22semidirect
157. #15689258C22semidirect
158. #15689258C22semidirect
159. #15689257C22semidirect
161. #15689255C22semidirect
162. #15689234C22semidirect
163. #15689233C22semidirect
164. #15689232C22semidirect
165. #15689223C22semidirect
166. C4×#10625325C22semidirect
167. #15689205C22semidirect
168. #15689203C22semidirect
169. #15689202C22semidirect
170. #15689198C22semidirect
171. #15689195C22semidirect
172. #15689194C22semidirect
173. #15689193C22semidirect
174. #15689191C22semidirect
175. C8×C22⋊D47C22semidirect
176. #15689183C22semidirect
177. #15689182C22semidirect
178. #15689126C22semidirect
179. #15689123C22semidirect
180. #15689122C22semidirect
181. #15689121C22semidirect
182. #15689117C22semidirect
183. #15689116C22semidirect
184. #15689089C22semidirect
185. #15689088C22semidirect
186. #15689085C22semidirect
187. C2×(C2×D47)⋊C8C22semidirect
188. C47×#553C22semidirect
189. C47×#546C22semidirect
190. C47×#488C22semidirect
191. C47×#484C22semidirect
192. C47×#482C22semidirect
193. C47×#478C22semidirect
194. C47×#466C22semidirect
195. C47×#465C22semidirect
196. C47×#463C22semidirect
197. C47×#449C22semidirect
198. C47×#447C22semidirect
199. C4×D8×C47C22semidirect
200. C8×D4×C47C22semidirect
201. C47×#416C22semidirect
202. C2×#102×C47C22semidirect
955. #3297D47semidirect
1004. #553C2×D47semidirect
1023. #546C2×D47semidirect
1050. #488C2×D47semidirect
1057. #484C2×D47semidirect
1062. #482C2×D47semidirect
1065. #478C2×D47semidirect
1078. #466C2×D47semidirect
1083. #465C2×D47semidirect
1089. #463C2×D47semidirect
1121. #449C2×D47semidirect
1131. #447C2×D47semidirect
1139. C4×D8C2×D47semidirect
1147. C8×D4C2×D47semidirect
1156. #416C2×D47semidirect
1157. C2×#102C2×D47semidirect
1162. C47#61614semidirect

Maximal subgroups

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

subgroupindex
#202577072
#202570252
#202556912
#202556032
#202555422
#202554812
#202553582
#202553452
#202553122
#202551202
#202550762
#202549992
#202549892
#202549242
#202549102
#202549062
#202548742
#202544942
#202544522
#202542752
#202542542
#202542282
#202541482
#202536332
#202535682
#202526972
#202526512
#202526372
#202526082
#202524302
C47×#32972
#6161447