Finite Group Databasebeta

← #27102850

Subgroups — #27102850

Order 12032.

2100 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#20257685C211yesmaximal, characteristic, complemented
2#20257053C211yesmaximal, characteristic, complemented
3#20255724C211yesmaximal, characteristic, complemented
4#20255662C211yesmaximal, characteristic, complemented
5#20255614C211yesmaximal, characteristic, complemented
6#20255592C211yesmaximal, characteristic, complemented
7#20255472C211yesmaximal, characteristic, complemented
8#20255449C211yesmaximal, characteristic, complemented
9#20255404C211yesmaximal, characteristic, complemented
10#20255397C211yesmaximal, characteristic, complemented
11#20255052C211yesmaximal, characteristic, complemented
12#20255042C211yesmaximal, characteristic, complemented
13#20255022C211yesmaximal, characteristic, complemented
14#20254985C211yesmaximal, characteristic, complemented
15#20254976C211yesmaximal, characteristic, complemented
16#20254950C211yesmaximal, characteristic, complemented
17#20254901C211yesmaximal, characteristic, complemented
18#20254890C211yesmaximal, characteristic, complemented
19#20254486C211yesmaximal, characteristic, complemented
20#20254456C211yesmaximal, characteristic, complemented
21#20254292C211yesmaximal, characteristic, complemented
22#20254275C211yesmaximal, characteristic, complemented
23#20254202C211yesmaximal, characteristic, complemented
24#20253653C211yesmaximal, characteristic, complemented
25#20253597C211yesmaximal, characteristic, complemented
26#20252693C211yesmaximal, characteristic, complemented
27#20252660C211yesmaximal, characteristic, complemented
28#20252646C211yesmaximal, characteristic, complemented
29#20252633C211yesmaximal, characteristic, complemented
30#20252448C211yesmaximal, characteristic, complemented
31C47×#3193C211yesmaximal, characteristic, complemented
32C2×#13094069C2211yescharacteristic
33C22×#10625350C2211yescharacteristic
34C2×#13094057C2211yescharacteristic, complemented
35C2×#13094055C2211yescharacteristic, complemented
36C2×#13094055C2211yescharacteristic, complemented
37C2×#13094053C2211yescharacteristic, complemented
38C2×#13094052C2211yescharacteristic, complemented
39C2×#13094051C2211yescharacteristic, complemented
40C2×#13094045C2211yescharacteristic, complemented
41C2×SD16×D47C2211yescharacteristic, complemented
42#15689874—21no—
43#15689869—21no—
44#15689844C2211yescharacteristic, complemented
45#15689828—21no—
46#15689828C2211yescharacteristic, complemented
47#15689821—21no—
48#15689821C2211yescharacteristic, complemented
49#15689807C2211yescharacteristic, complemented
50#15689791C2211yescharacteristic
51#15689791C2211yescharacteristic
52Q8×C22⋊D47C2211yescharacteristic, complemented
53#15689784C2211yescharacteristic, complemented
54#15689783C2211yescharacteristic, complemented
55#15689779C2211yescharacteristic
56#15689779C2211yescharacteristic
57#15689775C2211yescharacteristic, complemented
58#15689770C2211yescharacteristic
59#15689770C2211yescharacteristic
60#15689763—21no—
61#15689763—21no—
62#15689757C2211yescharacteristic
63#15689757C2211yescharacteristic
64D4×C22⋊D47—21no—
65D4×C22⋊D47—21no—
66#15689746C2211yescharacteristic, complemented
67#15689743—21no—
68#15689733C2211yescharacteristic, complemented
69#15689719—21no—
70#15689711—21no—
71#15689711—21no—
72#15689704C2211yescharacteristic
73#15689703C2211yescharacteristic, complemented
74#15689702—21no—
75#15689696C2211yescharacteristic, complemented
76#15689690C2211yescharacteristic
77#15689689—21no—
78#15689634C2211yescharacteristic
79#15689634C2211yescharacteristic, complemented
80#15689633—21no—
81#121×D47—21no—
82#15689604C2211yescharacteristic
83#15689514C2211yescharacteristic, complemented
84#15689509C2211yescharacteristic, complemented
85#15689504C2211yescharacteristic, complemented
86#15689494C2211yescharacteristic, complemented
87#15689486C2211yescharacteristic, complemented
88#15689481C2211yescharacteristic, complemented
89#15689476C2211yescharacteristic, complemented
90#15689468C2211yescharacteristic, complemented
91#15689466C2211yescharacteristic, complemented
92#15689460C2211yescharacteristic, complemented
93#15689453C2211yescharacteristic, complemented
94#15689450C2211yescharacteristic, complemented
95#15689444C2211yescharacteristic, complemented
96#15689444C2211yescharacteristic, complemented
97#15689438C2211yescharacteristic, complemented
98#15689436C2211yescharacteristic, complemented
99#15689429C2211yescharacteristic, complemented
100#15689426C2211yescharacteristic, complemented
101#15689417C2211yescharacteristic, complemented
102#15689402C2211yescharacteristic, complemented
103#15689380C2211yescharacteristic, complemented
104#15689374C2211yescharacteristic, complemented
105#15689374C2211yescharacteristic, complemented
106#15689372C2211yescharacteristic, complemented
107#15689370C2211yescharacteristic, complemented
108#15689370C2211yescharacteristic, complemented
109#15689367C2211yescharacteristic, complemented
110#15689367C2211yescharacteristic, complemented
111#15689365C2211yescharacteristic, complemented
112#15689363C2211yescharacteristic, complemented
113#15689360C2211yescharacteristic, complemented
114#15689355C2211yescharacteristic, complemented
115#15689348C2211yescharacteristic, complemented
116#15689344C2211yescharacteristic, complemented
117#15689343C2211yescharacteristic, complemented
118#15689343C2211yescharacteristic, complemented
119#15689341C2211yescharacteristic, complemented
120#15689337C2211yescharacteristic, complemented
121#15689332C2211yescharacteristic, complemented
122#15689327C2211yescharacteristic, complemented
123#15689322C2211yescharacteristic, complemented
124#15689321C2211yescharacteristic, complemented
125#15689321C2211yescharacteristic, complemented
126#15689317C2211yescharacteristic, complemented
127#15689288C2211yescharacteristic, complemented
128#15689287C2211yescharacteristic
129#15689287C2211yescharacteristic, complemented
130#15689287C2211yescharacteristic, complemented
131#15689287C2211yescharacteristic, complemented
132#15689286C2211yescharacteristic, complemented
133#15689283C2211yescharacteristic
134#15689283C2211yescharacteristic
135#15689283C2211yescharacteristic, complemented
136#15689283C2211yescharacteristic, complemented
137#15689282C2211yescharacteristic, complemented
138#15689282C2211yescharacteristic, complemented
139#15689280C2211yescharacteristic, complemented
140#15689278C2211yescharacteristic, complemented
141#15689278C2211yescharacteristic, complemented
142#15689275C2211yescharacteristic, complemented
143#15689274C2211yescharacteristic, complemented
144#15689273C2211yescharacteristic, complemented
145#15689273C2211yescharacteristic, complemented
146#15689272C2211yescharacteristic, complemented
147#15689272C2211yescharacteristic, complemented
148#15689271C2211yescharacteristic, complemented
149#15689270C2211yescharacteristic
150#15689270C2211yescharacteristic, complemented
151#15689270C2211yescharacteristic, complemented
152#15689270C2211yescharacteristic, complemented
153#15689269C2211yescharacteristic, complemented
154#15689266C2211yescharacteristic, complemented
155#15689266C2211yescharacteristic, complemented
156#15689263C2211yescharacteristic, complemented
157#15689258C2211yescharacteristic, complemented
158#15689257C2211yescharacteristic, complemented
159#15689227C2211yescharacteristic, complemented
160#15689226C2211yescharacteristic, complemented
161#15689222C2211yescharacteristic, complemented
162#15689222C2211yescharacteristic, complemented
163#15689217C2211yescharacteristic, complemented
164#15689215C2211yescharacteristic, complemented
165#15689208C2211yescharacteristic, complemented
166#15689205C2211yescharacteristic, complemented
167#15689199C2211yescharacteristic, complemented
168#15689199C2211yescharacteristic, complemented
169#15689198C2211yescharacteristic, complemented
170#15689198C2211yescharacteristic, complemented
171#15689197C2211yescharacteristic, complemented
172#15689197C2211yescharacteristic, complemented
173#15689192C2211yescharacteristic, complemented
174#15689192C2211yescharacteristic, complemented
175#15689181C2211yescharacteristic, complemented
176#15689181C2211yescharacteristic, complemented
177#15689133C2211yescharacteristic, complemented
178#15689129C2211yescharacteristic, complemented
179#15689126C2211yescharacteristic, complemented
180#15689122C2211yescharacteristic, complemented
181#15689122C2211yescharacteristic, complemented
182#15689121C2211yescharacteristic, complemented
183#15689116C2211yescharacteristic, complemented
184#102×D47C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic, complemented
186#15689088C2211yescharacteristic, complemented
187#15689087C2211yescharacteristic, complemented
188C2×C22⋊Q8×C47C2211yescharacteristic, complemented
189C2×#121×C47C2211yescharacteristic
190C47×#484C2211yescharacteristic, complemented
191C47×#484C2211yescharacteristic, complemented
192C47×#480C2211yescharacteristic, complemented
193C47×#480C2211yescharacteristic, complemented
194C47×#468C2211yescharacteristic, complemented
195C47×#468C2211yescharacteristic, complemented
196C47×#468C2211yescharacteristic, complemented
197C47×#468C2211yescharacteristic, complemented
198C47×#450C2211yescharacteristic, complemented
199C47×#450C2211yescharacteristic, complemented
200C47×#448C2211yescharacteristic, complemented
201C47×#448C2211yescharacteristic, complemented
202C47×#407C2211yescharacteristic, complemented
203#13094069—42no—
204#13094069—42no—
205C2×#10625354C2311yescharacteristic
206C2×#10625350—21no—
207C2×#10625350—21no—
208C2×#10625350—42no—
209C2×#10625350—42no—
210C2×#10625350C2311yescharacteristic
211C2×#10625350C2311yescharacteristic
212C2×#10625350C2311yescharacteristic
213C2×#10625350C2311yescharacteristic
214C2×#10625350C2311yescharacteristic
215C2×#10625350C2311yescharacteristic
216C2×#10625352—21no—
217C2×#10625352C2311yescharacteristic
218C2×#10625352C2311yescharacteristic
219C22×Dic94C2311yescharacteristic
220C2×Q8×D47C2311yescharacteristic
221C22×D188C2311yescharacteristic
222C22×C22⋊D47—21no—
223C22×C22⋊D47—21no—
224C22×C22⋊D47—21no—
225C2×D4×D47—21no—
226C2×D4×D47—21no—
227C2×D4×D47—21no—
228C2×D4×D47C2311yescharacteristic
229C2×D4×D47C2311yescharacteristic
230C22×C4×D47—21no—
231#13094057—42no—
232#13094055—42no—
233#13094055—42no—
234#13094053—42no—
235#13094052—42no—
236#13094051—42no—
237#13094045—42no—
238C2×Dic188C2311yescharacteristic
239C2×Dic188C2311yescharacteristic
240C2×#10625337C2311yescharacteristic
241C2×#10625337C2311yescharacteristic
242C2×#10625337C2311yescharacteristic
243C2×#10625337C2311yescharacteristic
244C2×#10625325C2311yescharacteristic
245C2×#10625325C2311yescharacteristic
246C2×#10625325C2311yescharacteristic
247C2×#10625325C2311yescharacteristic
248C2×#10625335C2311yescharacteristic
249C2×#10625335C2311yescharacteristic
250C2×#10625336C2311yescharacteristic
251C2×#10625336C2311yescharacteristic
252C2×#10625336C2311yescharacteristic
253C2×#10625336C2311yescharacteristic
254SD16×D47—42no—
255C2×D376C2311yescharacteristic
256C2×D376C2311yescharacteristic
257C2×#10625334C2311yescharacteristic
258C2×#10625334C2311yescharacteristic
259C2×#10625329C2311yescharacteristic
260C2×#10625329C2311yescharacteristic
261C2×#10625324C2311yescharacteristic
262C2×#10625324C2311yescharacteristic
263C2×C8×D47C2311yescharacteristic
264C2×C8×D47C2311yescharacteristic
265#13094023—21no—
266#13094023C2311yescharacteristic
267#13094022—21no—
268#13094022C2311yescharacteristic
269#13094020—21no—
270#13094020—21no—
271#13094020C2311yescharacteristic
272#13094020C2311yescharacteristic
273#13094019—21no—
274#13094019—21no—
275#13094019—21no—
276#13094017—21no—
277#13094017—21no—
278#13094017—21no—
279#13094017—21no—
280#13094015—21no—
281#13094015C2311yescharacteristic
282#13094014—21no—
283#13094014—21no—
284#13094014—21no—
285#13094013—21no—
286#13094013C2311yescharacteristic
287#13094011C2311yescharacteristic
288#13094011C2311yescharacteristic
289#13094010—21no—
290#13094010—21no—
291#13094010—21no—
292#13094010—21no—
293#13094010—21no—
294#13094010—21no—
295#13094009—21no—
296#13094009—21no—
297#13094009—21no—
298#13094007—21no—
299#13094007D411yescharacteristic
300#13094007D411yescharacteristic
301#13094006—21no—
302#13094006—21no—
303#13094006—21no—
304#13094006—21no—
305#13094006—21no—
306#13094006—21no—
307#13094004—21no—
308#13094004—21no—
309#13094004C2311yescharacteristic
310#13094004C2311yescharacteristic
311#13094004C2311yescharacteristic
312#13094003—21no—
313#13094003—21no—
314#13094003D411yescharacteristic
315#13094003D411yescharacteristic
316#13094003C2311yescharacteristic
317#13094003C2311yescharacteristic
318#13094002—21no—
319#13094002—21no—
320#13094002—21no—
321#13094001—21no—
322#13094001—21no—
323#13094000—21no—
324#13094000—21no—
325#13094000C2311yescharacteristic
326#13094000C2311yescharacteristic
327#13093999—21no—
328#13093999—21no—
329#13093999C2311yescharacteristic
330#13093999C2311yescharacteristic
331#13093999C2311yescharacteristic
332#13093998—21no—
333#13093998—21no—
334#13093998—21no—
335#13093998—21no—
336#13093998D411yescharacteristic
337#13093998D411yescharacteristic
338#13093998C2311yescharacteristic
339#13093998C2311yescharacteristic
340#13093997—21no—
341#13093997—21no—
342#13093997—21no—
343#13093997—21no—
344#13093997—21no—
345#13093997—21no—
346#13093997—21no—
347#13093997—21no—
348#13093996—21no—
349#13093996—21no—
350#13093996—21no—
351#13093996—21no—
352#13093995—21no—
353#13093995—21no—
354#13093995—21no—
355#13093995—21no—
356#13093994—21no—
357#13093994—21no—
358#13093993—21no—
359#13093993—21no—
360#13093993—21no—
361#13093993D411yescharacteristic
362#13093993D411yescharacteristic
363#13093992—21no—
364#13093992—21no—
365#13093992—21no—
366#13093992—21no—
367Q8×Dic47C2311yescharacteristic
368Q8×Dic47C2311yescharacteristic
369#13093989—21no—
370#13093989C2311yescharacteristic
371#13093989C2311yescharacteristic
372#13093989C2311yescharacteristic
373D4×Dic47—21no—
374D4×Dic47—21no—
375#13093986—21no—
376#13093986C2311yescharacteristic
377#13093986C2311yescharacteristic
378#13093986C2311yescharacteristic
379C4×C22⋊D47—21no—
380C4×C22⋊D47—21no—
381C4×C22⋊D47—21no—
382C4×C22⋊D47—21no—
383C4×C22⋊D47—21no—
384C4×C22⋊D47—21no—
385C4×C22⋊D47—21no—
386C4×C22⋊D47—21no—
387C4×C22⋊D47C2311yescharacteristic
388C4×C22⋊D47C2311yescharacteristic
389C4×C22⋊D47C2311yescharacteristic
390C4×C22⋊D47C2311yescharacteristic
391(C22⋊D47)⋊C4—21no—
392(C22⋊D47)⋊C4—21no—
393#13093983C2311yescharacteristic
394#13093983C2311yescharacteristic
395#13093982—21no—
396#13093982—21no—
397#13093982C2311yescharacteristic
398C4⋊C4×D47—21no—
399C4⋊C4×D47—21no—
400C4⋊C4×D47C2311yescharacteristic
401C22⋊C4×D47—21no—
402C22⋊C4×D47—21no—
403#13093957C2311yescharacteristic
404#13093957C2311yescharacteristic
405#13093955C2311yescharacteristic
406#13093955C2311yescharacteristic
407Dic47⋊C8C2311yescharacteristic
408Dic47⋊C8C2311yescharacteristic
409Dic47⋊C8C2311yescharacteristic
410Dic47⋊C8C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093949C2311yescharacteristic
414#13093949C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093947C2311yescharacteristic
420#13093947C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093946C2311yescharacteristic
424#13093946C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093945C2311yescharacteristic
428#13093945C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431#13093944C2311yescharacteristic
432#13093944C2311yescharacteristic
433#13093944C2311yescharacteristic
434#13093944C2311yescharacteristic
435C22⋊(C47⋊C8)C2311yescharacteristic
436C22⋊(C47⋊C8)C2311yescharacteristic
437C22⋊(C47⋊C8)C2311yescharacteristic
438C22⋊(C47⋊C8)C2311yescharacteristic
439(C2×D47)⋊C8C2311yescharacteristic
440(C2×D47)⋊C8C2311yescharacteristic
441(C2×D47)⋊C8C2311yescharacteristic
442(C2×D47)⋊C8C2311yescharacteristic
443#13093934C2311yescharacteristic
444#13093934C2311yescharacteristic
445C8×Dic47C2311yescharacteristic
446C8×Dic47C2311yescharacteristic
447C22×Q8×C47C2311yescharacteristic
448C22×D4×C47—21no—
449C22×D4×C47C2311yescharacteristic
450C23×C4×C47C2311yescharacteristic
451C2×SD16×C47C2311yescharacteristic
452C2×SD16×C47C2311yescharacteristic
453C2×SD16×C47C2311yescharacteristic
454C2×SD16×C47C2311yescharacteristic
455C2×M16×C47C2311yescharacteristic
456C2×M16×C47C2311yescharacteristic
457C22⋊Q8×C47—21no—
458C22⋊Q8×C47—21no—
459C22⋊Q8×C47C2311yescharacteristic
460C22⋊Q8×C47C2311yescharacteristic
461C22⋊Q8×C47C2311yescharacteristic
462C22⋊Q8×C47C2311yescharacteristic
463#121×C47—21no—
464#121×C47—21no—
465#121×C47C2311yescharacteristic
466#121×C47C2311yescharacteristic
467#121×C47C2311yescharacteristic
468#121×C47C2311yescharacteristic
469C2×C4⋊C4×C47—21no—
470C2×C4⋊C4×C47C2311yescharacteristic
471C2×C4⋊C4×C47C2311yescharacteristic
472C2×C22⋊C4×C47—21no—
473C2×C22⋊C4×C47—21no—
474#107×C47C2311yescharacteristic
475#107×C47C2311yescharacteristic
476#107×C47C2311yescharacteristic
477#107×C47C2311yescharacteristic
478#103×C47C2311yescharacteristic
479#103×C47C2311yescharacteristic
480#103×C47C2311yescharacteristic
481#103×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486C22⋊C8×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489C22⋊C8×C47C2311yescharacteristic
490C24×C47—21no—
491C24×C47C2×D411yescharacteristic
492C23×D47—21no—
493C23×D47—21no—
494C23×D47—21no—
495C2×Q8×C47—21no—
496C2×Q8×C47—41no—
497C2×Q8×C47—41no—
498C2×Q8×C47C2411yescharacteristic
499C2×Q8×C47C2411yescharacteristic
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—82no—
508C2×D4×C47C2411yescharacteristic
509C2×D4×C47C2411yescharacteristic
510C22×C4×C47—21no—
511C22×C4×C47—21no—
512C22×C4×C47—21no—
513C22×C4×C47—41no—
514C22×C4×C47—41no—
515C22×C4×C47C2×D411yescharacteristic
516C22×C4×C47C2×D411yescharacteristic
517C22×C4×C47C2×D411yescharacteristic
518C22×C4×C47C2411yescharacteristic
519C22×C4×C47C2411yescharacteristic
520C22×C4×C47C2411yescharacteristic
521C2×C22⋊D47—21no—
522C2×C22⋊D47—21no—
523C2×C22⋊D47—21no—
524C2×C22⋊D47—21no—
525C2×C22⋊D47—21no—
526C2×C22⋊D47—21no—
527C2×C22⋊D47—21no—
528C2×C22⋊D47—21no—
529C2×C22⋊D47—21no—
530C2×C22⋊D47—21no—
531C2×C22⋊D47—21no—
532C2×C22⋊D47—21no—
533C2×C22⋊D47—21no—
534C2×C22⋊D47—21no—
535C2×C22⋊D47—21no—
536C2×C22⋊D47—44no—
537C2×C22⋊D47—44no—
538C2×C22⋊D47—44no—
539C2×C22⋊D47C2×D411yescharacteristic
540C2×C22⋊D47C2×D411yescharacteristic
541C2×C22⋊D47C2×D411yescharacteristic
542C2×C22⋊D47C2×D411yescharacteristic
543C2×C22⋊D47C2×D411yescharacteristic
544C2×C22⋊D47C2×D411yescharacteristic
545C22×Dic47—21no—
546C22×Dic47—21no—
547C22×Dic47—21no—
548#10625354—41no—
549#10625354—41no—
550Q8×D47—41no—
551Q8×D47—41no—
552#10625352—22no—
553#10625352—22no—
554#10625352—41no—
555#10625352—41no—
556#10625352—44no—
557D4×D47—22no—
558D4×D47—22no—
559D4×D47—41no—
560D4×D47—41no—
561D4×D47—44no—
562D4×D47—82no—
563D4×D47—82no—
564#10625350—22no—
565#10625350—22no—
566#10625350—22no—
567#10625350—22no—
568#10625350—41no—
569#10625350—41no—
570#10625350—41no—
571#10625350—41no—
572#10625350—41no—
573#10625350—41no—
574#10625350—41no—
575#10625350—41no—
576#10625350—44no—
577#10625350—44no—
578C2×D188—22no—
579C2×D188—21no—
580C2×D188—21no—
581C2×D188—21no—
582C2×D188—21no—
583C2×D188—21no—
584C2×D188—41no—
585C2×D188C2×D411yescharacteristic
586C2×D188C2411yescharacteristic
587C2×D188C2411yescharacteristic
588C2×D188C2411yescharacteristic
589C2×C4×D47—21no—
590C2×C4×D47—21no—
591C2×C4×D47—21no—
592C2×C4×D47—21no—
593C2×C4×D47—21no—
594C2×C4×D47—21no—
595C2×C4×D47—21no—
596C2×C4×D47—21no—
597C2×C4×D47—21no—
598C2×C4×D47—21no—
599C2×C4×D47—21no—
600C2×C4×D47—44no—
601C2×C4×D47C2411yescharacteristic
602C2×C4×D47C2411yescharacteristic
603C2×Dic94—22no—
604C2×Dic94—21no—
605C2×Dic94—21no—
606C2×Dic94—21no—
607C2×Dic94—41no—
608C2×Dic94C2×D411yescharacteristic
609C2×Dic94C2411yescharacteristic
610C2×Dic94C2411yescharacteristic
611C2×Dic94C2411yescharacteristic
612SD16×C47—41no—
613SD16×C47—41no—
614SD16×C47—41no—
615SD16×C47—41no—
616M16×C47—41no—
617M16×C47—41no—
618C2×C8×C47C2411yescharacteristic
619C2×C8×C47C2411yescharacteristic
620C2×C8×C47C2411yescharacteristic
621C2×C8×C47C2411yescharacteristic
622C4⋊C4×C47—21no—
623C4⋊C4×C47—21no—
624C4⋊C4×C47—21no—
625C4⋊C4×C47—21no—
626C4⋊C4×C47—21no—
627C4⋊C4×C47—21no—
628C4⋊C4×C47C2411yescharacteristic
629C4⋊C4×C47C2411yescharacteristic
630C4⋊C4×C47C2411yescharacteristic
631C4⋊C4×C47C2411yescharacteristic
632C22⋊C4×C47—21no—
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⋊Dic47—21no—
641C22⋊Dic47—21no—
642C22⋊Dic47—21no—
643C22⋊Dic47—21no—
644C22⋊Dic47—21no—
645C22⋊Dic47—21no—
646C22⋊Dic47—21no—
647C22⋊Dic47C2×D411yescharacteristic
648C22⋊Dic47C2×D411yescharacteristic
649C22⋊Dic47C2×D411yescharacteristic
650C22⋊Dic47C2×D411yescharacteristic
651C22⋊Dic47C2×D411yescharacteristic
652C22⋊Dic47C2×D411yescharacteristic
653#10625337—22no—
654#10625337—22no—
655#10625337—41no—
656#10625337—41no—
657#10625336—22no—
658#10625336—22no—
659#10625336—41no—
660#10625336—41no—
661#10625335—41no—
662#10625335—41no—
663#10625334—41no—
664#10625334—41no—
665(C2×D47)⋊C4—21no—
666(C2×D47)⋊C4—21no—
667(C2×D47)⋊C4—21no—
668(C2×D47)⋊C4—21no—
669(C2×D47)⋊C4—21no—
670(C2×D47)⋊C4—21no—
671(C2×D47)⋊C4—21no—
672(C2×D47)⋊C4—21no—
673(C2×D47)⋊C4—21no—
674(C2×D47)⋊C4—21no—
675(C2×D47)⋊C4—21no—
676(C2×D47)⋊C4—21no—
677(C2×D47)⋊C4—21no—
678(C2×D47)⋊C4—21no—
679(C2×D47)⋊C4—21no—
680(C2×D47)⋊C4—21no—
681(C2×D47)⋊C4C2×D411yescharacteristic
682(C2×D47)⋊C4C2×D411yescharacteristic
683(C2×D47)⋊C4C2×D411yescharacteristic
684(C2×D47)⋊C4C2×D411yescharacteristic
685C4⋊Dic47—21no—
686C4⋊Dic47—21no—
687C4⋊Dic47—21no—
688C4⋊Dic47—21no—
689C4⋊Dic47—21no—
690C4⋊Dic47—21no—
691C4⋊Dic47C2×D411yescharacteristic
692C4⋊Dic47C2×D411yescharacteristic
693C4⋊Dic47C2411yescharacteristic
694C4⋊Dic47C2411yescharacteristic
695Dic47⋊C4—21no—
696Dic47⋊C4—21no—
697Dic47⋊C4—21no—
698Dic47⋊C4—21no—
699Dic47⋊C4—21no—
700Dic47⋊C4—21no—
701Dic47⋊C4—21no—
702Dic47⋊C4—21no—
703Dic47⋊C4—21no—
704Dic47⋊C4—21no—
705Dic47⋊C4—21no—
706Dic47⋊C4—21no—
707Dic47⋊C4C2×D411yescharacteristic
708Dic47⋊C4C2×D411yescharacteristic
709Dic47⋊C4C2×D411yescharacteristic
710Dic47⋊C4C2×D411yescharacteristic
711C4×Dic47—21no—
712C4×Dic47—21no—
713C4×Dic47—21no—
714C4×Dic47—21no—
715C4×Dic47—21no—
716C4×Dic47—21no—
717C4×Dic47—21no—
718C4×Dic47C2411yescharacteristic
719C4×Dic47C2411yescharacteristic
720#10625329—41no—
721#10625329—41no—
722C2×C47⋊C8C2411yescharacteristic
723C2×C47⋊C8C2411yescharacteristic
724C2×C47⋊C8C2411yescharacteristic
725C2×C47⋊C8C2411yescharacteristic
726Dic188—22no—
727Dic188—41no—
728D376—22no—
729D376—41no—
730#10625325—22no—
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—41no—
741C23×C47—41no—
742C23×C47—41no—
743C23×C47—42no—
744C23×C47—81no—
745C23×C47—81no—
746C23×C47C22×D411yescharacteristic
747C23×C47C22×D411yescharacteristic
748C23×C47C22×D411yescharacteristic
749C22×D47—21no—
750C22×D47—21no—
751C22×D47—21no—
752C22×D47—42no—
753C22×D47—42no—
754C22×D47—42no—
755C22×D47—42no—
756C22×D47—81no—
757C22×D47—81no—
758C22×D47—81no—
759C22×D47—81no—
760C22×D47—81no—
761C22×D47C22×D411yescharacteristic
762C22×D47C22×D411yescharacteristic
763Q8×C47—21no—
764Q8×C47—21no—
765Q8×C47—21no—
766Q8×C47—21no—
767Q8×C47—81no—
768D4×C47—21no—
769D4×C47—21no—
770D4×C47—21no—
771D4×C47—21no—
772D4×C47—42no—
773D4×C47—42no—
774D4×C47—42no—
775D4×C47—81no—
776D4×C47—81no—
777C2×C4×C47—21no—
778C2×C4×C47—21no—
779C2×C4×C47—21no—
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—21no—
789C2×C4×C47—41no—
790C2×C4×C47—41no—
791C2×C4×C47—41no—
792C2×C4×C47—81no—
793C2×C4×C47—81no—
794C2×C4×C47—81no—
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—41no—
805C22⋊D47—41no—
806C22⋊D47—42no—
807C22⋊D47—42no—
808C22⋊D47—42no—
809C22⋊D47—42no—
810C22⋊D47—42no—
811C22⋊D47—42no—
812C22⋊D47—42no—
813C22⋊D47—42no—
814C22⋊D47—81no—
815C22⋊D47—81no—
816C22⋊D47—81no—
817C22⋊D47—81no—
818C22⋊D47—81no—
819C22⋊D47—81no—
820C2×Dic47—21no—
821C2×Dic47—21no—
822C2×Dic47—21no—
823C2×Dic47—21no—
824C2×Dic47—21no—
825C2×Dic47—42no—
826C2×Dic47—42no—
827C2×Dic47—42no—
828C2×Dic47C22×D411yescharacteristic
829C2×Dic47C22×D411yescharacteristic
830C2×Dic47C22×D411yescharacteristic
831C2×Dic47C22×D411yescharacteristic
832C2×Dic47C22×D411yescharacteristic
833C2×Dic47C22×D411yescharacteristic
834D188—21no—
835D188—21no—
836D188—21no—
837D188—21no—
838D188—21no—
839D188—41no—
840D188—42no—
841D188—81no—
842D188—81no—
843D188—81no—
844D188—81no—
845D188H(5,𝔽2)12yes—
846C4×D47—24no—
847C4×D47—21no—
848C4×D47—21no—
849C4×D47—21no—
850C4×D47—21no—
851C4×D47—42no—
852C4×D47—42no—
853C4×D47—42no—
854C4×D47—81no—
855C4×D47—81no—
856C4×D47—81no—
857C4×D47—81no—
858C4×D47—81no—
859C4×D47—81no—
860C4×D47—81no—
861Dic94—21no—
862Dic94—21no—
863Dic94—21no—
864Dic94—21no—
865Dic94—21no—
866Dic94—41no—
867Dic94—42no—
868Dic94—81no—
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#61654—471nomaximal, Sylow
880C22×C47—21no—
881C22×C47—21no—
882C22×C47—21no—
883C22×C47—21no—
884C22×C47—21no—
885C22×C47—21no—
886C22×C47—21no—
887C22×C47—21no—
888C22×C47—21no—
889C22×C47—41no—
890C22×C47—41no—
891C22×C47—41no—
892C22×C47—41no—
893C22×C47—41no—
894C22×C47—41no—
895C22×C47—82no—
896C22×C47—162no—
897C22×C47C23×D411yescharacteristic
898C2×D47—21no—
899C2×D47—21no—
900C2×D47—21no—
901C2×D47—21no—
902C2×D47—22no—
903C2×D47—21no—
904C2×D47—21no—
905C2×D47—41no—
906C2×D47—41no—
907C2×D47—41no—
908C2×D47—41no—
909C2×D47—41no—
910C2×D47—41no—
911C2×D47—41no—
912C2×D47—41no—
913C2×D47—84no—
914C2×D47—162no—
915C2×D47—162no—
916C4×C47—21no—
917C4×C47—21no—
918C4×C47—21no—
919C4×C47—41no—
920C4×C47—41no—
921C4×C47—41no—
922C4×C47—41no—
923C4×C47—41no—
924C4×C47—41no—
925C4×C47C2×H(5,𝔽2)11yescharacteristic
926C4×C47C2×H(5,𝔽2)11yescharacteristic
927Dic47—21no—
928Dic47—21no—
929Dic47—21no—
930Dic47—21no—
931Dic47—22no—
932Dic47—21no—
933Dic47—21no—
934Dic47—41no—
935Dic47—41no—
936Dic47—41no—
937Dic47—41no—
938#3541—471no—
939#3488—471no—
940#3333—471no—
941#3327—471no—
942#3324—471no—
943#3322—471no—
944#3314—471no—
945#3313—471no—
946#3310—471no—
947#3309—471no—
948#3278—471no—
949#3277—471no—
950#3275—471no—
951#3272—471no—
952#3271—471no—
953#3269—471no—
954#3266—471no—
955#3265—471no—
956#3224—471no—
957#3222—471no—
958#3203—471no—
959#3201—471no—
960#3194—471no—
961#3193D4711yescharacteristic, complemented
962#3124—471no—
963#3120—471no—
964#3012—471no—
965#3009—471no—
966#3007—471no—
967#3005—471no—
968#2978—471no—
969C2×C47—41no—
970C2×C47—41no—
971C2×C47—41no—
972C2×C47—81no—
973C2×C47—81no—
974C2×C47#348411yescharacteristic
975C2×C47#358511yescharacteristic
976C2×C47#358611yescharacteristic
977D47—41no—
978D47—41no—
979D47—42no—
980D47—81no—
981D47—81no—
982C2×H(5,𝔽2)—471no—
983C22×#41—471no—
984C2×#137—471no—
985C2×#137—471no—
986C2×#137—471no—
987C2×#137—471no—
988C2×AGL(1,ℤ/8)—471no—
989C2×AGL(1,ℤ/8)—471no—
990C2×#135—471no—
991C22×SD16—471no—
992#563—941no—
993#562—941no—
994#556—471no—
995#554—471no—
996#554—941no—
997#553—471no—
998#553—941no—
999#552—471no—
1000#550—471no—
1001#550—471no—
1002D4×Q8—471no—
1003#548—471no—
1004#548—471no—
1005#548—471no—
1006#548—471no—
1007#547—471no—
1008#546—471no—
1009#546—471no—
1010#546—941no—
1011#546—941no—
1012D42—471no—
1013D42—471no—
1014D42—941no—
1015D42—941no—
1016#542—471no—
1017#542—941no—
1018#541—471no—
1019#539—941no—
1020#538—941no—
1021#538—941no—
1022#537—471no—
1023#537—471no—
1024#537—941no—
1025#536—471no—
1026#535—471no—
1027#535—941no—
1028#525—471no—
1029#525—471no—
1030#525—941no—
1031C2×C22⋊Q8C2×D4711yescharacteristic, complemented
1032C2×#121—941no—
1033C2×#121C2×D4711yescharacteristic
1034#520—471no—
1035#497—471no—
1036#496—471no—
1037#495—471no—
1038#492—471no—
1039#490—471no—
1040#489—471no—
1041#488—471no—
1042#486—471no—
1043#485—471no—
1044#484—471no—
1045#484C2×D4711yescharacteristic, complemented
1046#484C2×D4711yescharacteristic, complemented
1047#483—471no—
1048#482—471no—
1049#482—471no—
1050#482—471no—
1051#480—471no—
1052#480—471no—
1053#480C2×D4711yescharacteristic, complemented
1054#480C2×D4711yescharacteristic, complemented
1055#479—471no—
1056#478—471no—
1057#477—471no—
1058#474—471no—
1059#470—471no—
1060#469—471no—
1061#469—471no—
1062#468—471no—
1063#468—471no—
1064#468—471no—
1065#468—471no—
1066#468—471no—
1067#468C2×D4711yescharacteristic, complemented
1068#468C2×D4711yescharacteristic, complemented
1069#468C2×D4711yescharacteristic, complemented
1070#468C2×D4711yescharacteristic, complemented
1071#467—471no—
1072#467—471no—
1073#466—471no—
1074#465—471no—
1075#464—471no—
1076#464—471no—
1077#464—471no—
1078#464—471no—
1079#463—471no—
1080#463—471no—
1081#462—471no—
1082#461—471no—
1083#460—471no—
1084#460—471no—
1085#460—471no—
1086#459—471no—
1087#452—471no—
1088#452—471no—
1089#452—471no—
1090#452—471no—
1091#452—471no—
1092#452—471no—
1093#452—471no—
1094#452—471no—
1095#452—471no—
1096#452—471no—
1097#452—471no—
1098#452—471no—
1099#451—471no—
1100#451—471no—
1101#451—471no—
1102#450—471no—
1103#450—471no—
1104#450—471no—
1105#450—471no—
1106#450—471no—
1107#450—471no—
1108#450C2×D4711yescharacteristic, complemented
1109#450C2×D4711yescharacteristic, complemented
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#448—471no—
1119#448C2×D4711yescharacteristic, complemented
1120#448C2×D4711yescharacteristic, complemented
1121#447—471no—
1122#447—471no—
1123#441—471no—
1124#440—471no—
1125#440—471no—
1126#440—471no—
1127C4×Q16—471no—
1128C4×Q16—471no—
1129C4×SD16—471no—
1130C4×D8—471no—
1131#436—471no—
1132#436—471no—
1133#436—471no—
1134#436—471no—
1135#435—471no—
1136#435—471no—
1137#435—471no—
1138#435—471no—
1139#433—471no—
1140#433—471no—
1141#419—471no—
1142#418—471no—
1143#418—471no—
1144#417—471no—
1145#417—471no—
1146#417—471no—
1147#416—471no—
1148C2×#102—471no—
1149#408—471no—
1150#408—471no—
1151#407—471no—
1152#407C2×D4711yescharacteristic, complemented
1153C47#6165411yescharacteristic, complemented, Sylow
1154H(5,𝔽2)—1882no—
1155H(5,𝔽2)—1882no—
1156C2×#41—471no—
1157C2×#41—471no—
1158C2×#41—471no—
1159C2×#41—471no—
1160C2×#41—471no—
1161C2×#41—471no—
1162C2×#41—471no—
1163C2×#41—471no—
1164C2×#41—471no—
1165C2×#41—941no—
1166C2×#41—941no—
1167C2×#41—941no—
1168C2×#41—1882no—
1169C2×#41—1882no—
1170C22×Q8—471no—
1171C22×Q8—471no—
1172C22×Q8C22×D4711yescharacteristic
1173C22×D4—21no—
1174C22×D4—471no—
1175C22×D4—471no—
1176C22×D4—471no—
1177C22×D4—941no—
1178C22×D4—941no—
1179C22×D4—941no—
1180C22×D4—941no—
1181C22×D4—941no—
1182C22×D4—941no—
1183C22×D4C22×D4711yescharacteristic
1184C23×C4—941no—
1185C23×C4C22×D4711yescharacteristic
1186#137—1882no—
1187#137—1882no—
1188#137—1882no—
1189#137—1882no—
1190AGL(1,ℤ/8)—1882no—
1191AGL(1,ℤ/8)—1882no—
1192#135—1882no—
1193C2×Q16—471no—
1194C2×Q16—471no—
1195C2×Q16—471no—
1196C2×Q16—471no—
1197C2×Q16—471no—
1198C2×Q16—471no—
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—1882no—
1210C2×SD16C22×D4711yescharacteristic
1211C2×SD16C22×D4711yescharacteristic
1212C2×SD16C22×D4711yescharacteristic
1213C2×SD16C22×D4711yescharacteristic
1214C2×D8—471no—
1215C2×D8—471no—
1216C2×D8—471no—
1217C2×D8—471no—
1218C2×M16—471no—
1219C2×M16—471no—
1220C2×M16—471no—
1221C2×M16—471no—
1222C2×M16C22×D4711yescharacteristic
1223C2×M16C22×D4711yescharacteristic
1224C22×C8—471no—
1225C22×C8—471no—
1226C4⋊Q8—471no—
1227C4⋊Q8—471no—
1228C4⋊Q8—941no—
1229C4⋊Q8—941no—
1230#127—471no—
1231#127—471no—
1232#127—941no—
1233#127—941no—
1234#126—941no—
1235#126—941no—
1236#126—941no—
1237#126—941no—
1238#126—941no—
1239#126—941no—
1240#126—941no—
1241#125—471no—
1242#125—941no—
1243#125—941no—
1244#125—941no—
1245#125—941no—
1246#124—471no—
1247#124—471no—
1248#124—471no—
1249#124—941no—
1250#124—941no—
1251#124—941no—
1252#124—941no—
1253#124—941no—
1254#124—941no—
1255#124—941no—
1256#123—471no—
1257#123—471no—
1258#123—941no—
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—
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—471no—
1271C22⋊Q8—471no—
1272C22⋊Q8—471no—
1273C22⋊Q8—471no—
1274C22⋊Q8—471no—
1275C22⋊Q8—471no—
1276C22⋊Q8—471no—
1277C22⋊Q8—471no—
1278C22⋊Q8—471no—
1279C22⋊Q8—941no—
1280C22⋊Q8—941no—
1281C22⋊Q8—941no—
1282C22⋊Q8—941no—
1283C22⋊Q8—941no—
1284C22⋊Q8—941no—
1285C22⋊Q8—941no—
1286C22⋊Q8—941no—
1287C22⋊Q8—941no—
1288C22⋊Q8—941no—
1289C22⋊Q8—941no—
1290C22⋊Q8C22×D4711yescharacteristic
1291C22⋊Q8C22×D4711yescharacteristic
1292C22⋊Q8C22×D4711yescharacteristic
1293C22⋊Q8C22×D4711yescharacteristic
1294#121—21no—
1295#121—21no—
1296#121—471no—
1297#121—471no—
1298#121—471no—
1299#121—471no—
1300#121—471no—
1301#121—471no—
1302#121—471no—
1303#121—941no—
1304#121—941no—
1305#121—941no—
1306#121—941no—
1307#121—941no—
1308#121—941no—
1309#121—941no—
1310#121—941no—
1311#121—941no—
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#121C22×D4711yescharacteristic
1326#121C22×D4711yescharacteristic
1327#121C22×D4711yescharacteristic
1328#121C22×D4711yescharacteristic
1329#120—471no—
1330#120—471no—
1331#120—941no—
1332#120—941no—
1333#120—941no—
1334#120—941no—
1335#120—941no—
1336#120—941no—
1337#120—941no—
1338#120—941no—
1339#120—941no—
1340C4×Q8—471no—
1341C4×Q8—471no—
1342C4×Q8—471no—
1343C4×Q8—471no—
1344C4×Q8—471no—
1345C4×Q8—941no—
1346C4×D4—471no—
1347C4×D4—471no—
1348C4×D4—471no—
1349C4×D4—471no—
1350C4×D4—471no—
1351C4×D4—471no—
1352C4×D4—471no—
1353C4×D4—941no—
1354C4×D4—941no—
1355C4×D4—941no—
1356C4×D4—941no—
1357C4×D4—941no—
1358C4×D4—941no—
1359C4×D4—941no—
1360C4×D4—941no—
1361C4×D4—941no—
1362C4×D4—941no—
1363C4×D4—941no—
1364C4×D4—941no—
1365C4×D4—941no—
1366#117—471no—
1367#117—471no—
1368#117—471no—
1369#117—941no—
1370#117—941no—
1371C2×C4⋊C4—21no—
1372C2×C4⋊C4—471no—
1373C2×C4⋊C4—941no—
1374C2×C4⋊C4—941no—
1375C2×C4⋊C4C22×D4711yescharacteristic
1376C2×C4⋊C4C22×D4711yescharacteristic
1377C2×C22⋊C4—21no—
1378C2×C22⋊C4—21no—
1379C2×C22⋊C4—941no—
1380C2×C22⋊C4—941no—
1381#107—471no—
1382#107—471no—
1383#107C22×D4711yescharacteristic
1384#107C22×D4711yescharacteristic
1385#107C22×D4711yescharacteristic
1386#107C22×D4711yescharacteristic
1387#106—471no—
1388#106—471no—
1389C4⋊C8—471no—
1390C4⋊C8—471no—
1391C4⋊C8—471no—
1392C4⋊C8—471no—
1393#103—471no—
1394#103—471no—
1395#103—471no—
1396#103—471no—
1397#103—471no—
1398#103—471no—
1399#103—471no—
1400#103—471no—
1401#103—471no—
1402#103—471no—
1403#103C22×D4711yescharacteristic
1404#103C22×D4711yescharacteristic
1405#103C22×D4711yescharacteristic
1406#103C22×D4711yescharacteristic
1407#102—471no—
1408#102—471no—
1409#102—471no—
1410#102—471no—
1411#102—471no—
1412#102—471no—
1413#102—471no—
1414#102—471no—
1415#102—471no—
1416#102—471no—
1417#102—471no—
1418#102—471no—
1419#102—471no—
1420#102—471no—
1421#102C22×D4711yescharacteristic
1422#102C22×D4711yescharacteristic
1423#102C22×D4711yescharacteristic
1424#102C22×D4711yescharacteristic
1425C22⋊C8—471no—
1426C22⋊C8—471no—
1427C22⋊C8—471no—
1428C22⋊C8—471no—
1429C22⋊C8—471no—
1430C22⋊C8—471no—
1431C22⋊C8—471no—
1432C22⋊C8—471no—
1433C22⋊C8C22×D4711yescharacteristic
1434C22⋊C8C22×D4711yescharacteristic
1435C22⋊C8C22×D4711yescharacteristic
1436C22⋊C8C22×D4711yescharacteristic
1437#97—471no—
1438#97—471no—
1439C4×C8—471no—
1440C4×C8—471no—
1441C24—21no—
1442C24—941no—
1443C24—941no—
1444C24—941no—
1445C24D4×D4711yescharacteristic
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—1884no—
1461#41—1884no—
1462#41—1881no—
1463#41—1881no—
1464#41—1881no—
1465#41—1881no—
1466#41—1884no—
1467C2×Q8—21no—
1468C2×Q8—41no—
1469C2×Q8—41no—
1470C2×Q8—471no—
1471C2×Q8—471no—
1472C2×Q8—471no—
1473C2×Q8—471no—
1474C2×Q8—941no—
1475C2×Q8—941no—
1476C2×Q8—942no—
1477C2×Q8—941no—
1478C2×Q8—1881no—
1479C2×Q8—1881no—
1480C2×Q8—1881no—
1481C2×Q8C23×D4711yescharacteristic
1482C2×Q8C23×D4711yescharacteristic
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—41no—
1489C2×D4—41no—
1490C2×D4—82no—
1491C2×D4—471no—
1492C2×D4—471no—
1493C2×D4—471no—
1494C2×D4—471no—
1495C2×D4—471no—
1496C2×D4—471no—
1497C2×D4—471no—
1498C2×D4—471no—
1499C2×D4—471no—
1500C2×D4—471no—
1501C2×D4—942no—
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—942no—
1513C2×D4—942no—
1514C2×D4—941no—
1515C2×D4—941no—
1516C2×D4—941no—
1517C2×D4—941no—
1518C2×D4—941no—
1519C2×D4—941no—
1520C2×D4—941no—
1521C2×D4—941no—
1522C2×D4—941no—
1523C2×D4—941no—
1524C2×D4—3762no—
1525C2×D4—3762no—
1526C2×D4—1881no—
1527C2×D4—1881no—
1528C2×D4—1881no—
1529C2×D4—1884no—
1530C2×D4—1884no—
1531C2×D4—1884no—
1532C2×D4—1884no—
1533C2×D4C23×D4711yescharacteristic
1534C2×D4C23×D4711yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—41no—
1539C22×C4—41no—
1540C22×C4—471no—
1541C22×C4—471no—
1542C22×C4—941no—
1543C22×C4—941no—
1544C22×C4—941no—
1545C22×C4—941no—
1546C22×C4—941no—
1547C22×C4—941no—
1548C22×C4—941no—
1549C22×C4—941no—
1550C22×C4—941no—
1551C22×C4—941no—
1552C22×C4—941no—
1553C22×C4—941no—
1554C22×C4—941no—
1555C22×C4—941no—
1556C22×C4—1884no—
1557C22×C4D4×D4711yescharacteristic
1558C22×C4D4×D4711yescharacteristic
1559C22×C4D4×D4711yescharacteristic
1560C22×C4C23×D4711yescharacteristic
1561C22×C4C23×D4711yescharacteristic
1562C22×C4C23×D4711yescharacteristic
1563Q16—942no—
1564Q16—942no—
1565Q16—942no—
1566Q16—1881no—
1567Q16—1881no—
1568Q16—1881no—
1569SD16—41no—
1570SD16—41no—
1571SD16—41no—
1572SD16—41no—
1573SD16—942no—
1574SD16—942no—
1575SD16—942no—
1576SD16—942no—
1577SD16—1881no—
1578SD16—1881no—
1579SD16—1881no—
1580SD16—1881no—
1581SD16—1881no—
1582SD16—1881no—
1583D8—942no—
1584D8—1881no—
1585D8—1881no—
1586D8—1881no—
1587M16—41no—
1588M16—41no—
1589M16—1881no—
1590M16—1881no—
1591M16—1881no—
1592M16—1881no—
1593C2×C8—471no—
1594C2×C8—471no—
1595C2×C8—471no—
1596C2×C8—471no—
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—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—471no—
1610C4⋊C4—471no—
1611C4⋊C4—471no—
1612C4⋊C4—471no—
1613C4⋊C4—471no—
1614C4⋊C4—471no—
1615C4⋊C4—471no—
1616C4⋊C4—471no—
1617C4⋊C4—941no—
1618C4⋊C4—941no—
1619C4⋊C4—941no—
1620C4⋊C4—941no—
1621C4⋊C4—941no—
1622C4⋊C4—941no—
1623C4⋊C4—941no—
1624C4⋊C4—941no—
1625C4⋊C4—941no—
1626C4⋊C4—941no—
1627C4⋊C4—941no—
1628C4⋊C4—941no—
1629C4⋊C4—941no—
1630C4⋊C4—941no—
1631C4⋊C4—941no—
1632C4⋊C4—941no—
1633C4⋊C4—941no—
1634C4⋊C4—941no—
1635C4⋊C4C23×D4711yescharacteristic
1636C4⋊C4C23×D4711yescharacteristic
1637C4⋊C4C23×D4711yescharacteristic
1638C4⋊C4C23×D4711yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—471no—
1648C22⋊C4—471no—
1649C22⋊C4—471no—
1650C22⋊C4—471no—
1651C22⋊C4—471no—
1652C22⋊C4—471no—
1653C22⋊C4—471no—
1654C22⋊C4—471no—
1655C22⋊C4—471no—
1656C22⋊C4—471no—
1657C22⋊C4—941no—
1658C22⋊C4—941no—
1659C22⋊C4—941no—
1660C22⋊C4—941no—
1661C22⋊C4—941no—
1662C22⋊C4—941no—
1663C22⋊C4—941no—
1664C22⋊C4—941no—
1665C22⋊C4—941no—
1666C22⋊C4—941no—
1667C22⋊C4—941no—
1668C22⋊C4—941no—
1669C22⋊C4—941no—
1670C22⋊C4—941no—
1671C22⋊C4—941no—
1672C22⋊C4—941no—
1673C22⋊C4—941no—
1674C22⋊C4—941no—
1675C22⋊C4—941no—
1676C22⋊C4—941no—
1677C22⋊C4—941no—
1678C22⋊C4—941no—
1679C22⋊C4—941no—
1680C42—471no—
1681C42—471no—
1682C42—941no—
1683C42—941no—
1684C42—941no—
1685C42—941no—
1686C42—941no—
1687C42—941no—
1688C42—941no—
1689C23—21no—
1690C23—21no—
1691C23—41no—
1692C23—41no—
1693C23—41no—
1694C23—42no—
1695C23—81no—
1696C23—81no—
1697C23—471no—
1698C23—471no—
1699C23—941no—
1700C23—941no—
1701C23—941no—
1702C23—3761no—
1703C23—3761no—
1704C23—3761no—
1705C23—3761no—
1706C23—3761no—
1707C23—1882no—
1708C23—1882no—
1709C23—1882no—
1710C23—1882no—
1711C23C2×D4×D4711yescharacteristic
1712C23C2×D4×D4711yescharacteristic
1713C23C2×D4×D4711yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—81no—
1719Q8—472no—
1720Q8—941no—
1721Q8—941no—
1722Q8—941no—
1723Q8—941no—
1724Q8—941no—
1725Q8—3761no—
1726Q8—3761no—
1727Q8—1881no—
1728Q8—1882no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—42no—
1734D4—42no—
1735D4—42no—
1736D4—81no—
1737D4—81no—
1738D4—472no—
1739D4—944no—
1740D4—941no—
1741D4—941no—
1742D4—941no—
1743D4—941no—
1744D4—941no—
1745D4—3761no—
1746D4—3761no—
1747D4—3761no—
1748D4—3761no—
1749D4—3761no—
1750D4—3761no—
1751D4—3761no—
1752D4—3761no—
1753D4—3761no—
1754D4—3761no—
1755D4—1881no—
1756D4—1882no—
1757D4—1881no—
1758D4—1881no—
1759D4—1881no—
1760D4—1881no—
1761D4—1881no—
1762D4—1881no—
1763D4—1882no—
1764D4—1882no—
1765D4—1882no—
1766D4—1882no—
1767D4—1882no—
1768D4—1882no—
1769D4—1882no—
1770D4—1882no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—41no—
1784C2×C4—41no—
1785C2×C4—41no—
1786C2×C4—81no—
1787C2×C4—81no—
1788C2×C4—81no—
1789C2×C4—471no—
1790C2×C4—471no—
1791C2×C4—471no—
1792C2×C4—471no—
1793C2×C4—471no—
1794C2×C4—471no—
1795C2×C4—944no—
1796C2×C4—941no—
1797C2×C4—941no—
1798C2×C4—941no—
1799C2×C4—941no—
1800C2×C4—941no—
1801C2×C4—941no—
1802C2×C4—941no—
1803C2×C4—941no—
1804C2×C4—941no—
1805C2×C4—3761no—
1806C2×C4—3761no—
1807C2×C4—3761no—
1808C2×C4—3761no—
1809C2×C4—3761no—
1810C2×C4—3761no—
1811C2×C4—3761no—
1812C2×C4—1882no—
1813C2×C4—1882no—
1814C2×C4—1882no—
1815C2×C4—1882no—
1816C2×C4—1882no—
1817C2×C4—1882no—
1818C2×C4C2×D4×D4711yescharacteristic
1819C2×C4C2×D4×D4711yescharacteristic
1820C2×C4C2×D4×D4711yescharacteristic
1821C2×C4C24×D4711yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—941no—
1827C8—941no—
1828C8—941no—
1829C8—941no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—82no—
1846C22—162no—
1847C22—941no—
1848C22—941no—
1849C22—941no—
1850C22—941no—
1851C22—941no—
1852C22—942no—
1853C22—941no—
1854C22—3764no—
1855C22—1881no—
1856C22—1881no—
1857C22—1881no—
1858C22—1881no—
1859C22—1881no—
1860C22—1881no—
1861C22—1881no—
1862C22—1881no—
1863C22—7522no—
1864C22—7522no—
1865C22C22×D4×D4711yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—941no—
1876C4—941no—
1877C4—941no—
1878C4—941no—
1879C4—941no—
1880C4—941no—
1881C4—942no—
1882C4—1881no—
1883C4—1881no—
1884C4—1881no—
1885C4—1881no—
1886C4H(5,𝔽2)×D4711yescharacteristic
1887C4H(5,𝔽2)×D4711yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—81no—
1892C2—81no—
1893C2—3761no—
1894C2—3761no—
1895C2—1881no—
1896C2—1881no—
1897C2—1882no—
1898C2#2025702011yescharacteristic
1899C2#2025816411yescharacteristic
1900C2#2025817111yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3193C2
socleC22×C47C23×D4
hypercenter#3193D47
hypocenterC47#61654
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3193

Complements

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

NH ≅ G/Ntype
1. #20257685C2semidirect
2. #20257053C2semidirect
3. #20255724C2semidirect
4. #20255662C2semidirect
5. #20255614C2semidirect
6. #20255592C2semidirect
7. #20255472C2semidirect
8. #20255449C2semidirect
9. #20255404C2semidirect
10. #20255397C2semidirect
11. #20255052C2semidirect
12. #20255042C2semidirect
13. #20255022C2semidirect
14. #20254985C2semidirect
15. #20254976C2semidirect
16. #20254950C2semidirect
17. #20254901C2semidirect
18. #20254890C2semidirect
19. #20254486C2semidirect
20. #20254456C2semidirect
21. #20254292C2semidirect
22. #20254275C2semidirect
23. #20254202C2semidirect
24. #20253653C2semidirect
25. #20253597C2semidirect
26. #20252693C2semidirect
27. #20252660C2semidirect
28. #20252646C2semidirect
29. #20252633C2semidirect
30. #20252448C2semidirect
31. C47×#3193C2semidirect
34. C2×#13094057C22semidirect
35. C2×#13094055C22semidirect
36. C2×#13094055C22semidirect
37. C2×#13094053C22semidirect
38. C2×#13094052C22semidirect
39. C2×#13094051C22semidirect
40. C2×#13094045C22semidirect
41. C2×SD16×D47C22semidirect
44. #15689844C22semidirect
46. #15689828C22semidirect
48. #15689821C22semidirect
49. #15689807C22semidirect
52. Q8×C22⋊D47C22semidirect
53. #15689784C22semidirect
54. #15689783C22semidirect
57. #15689775C22semidirect
66. #15689746C22semidirect
68. #15689733C22semidirect
73. #15689703C22semidirect
75. #15689696C22semidirect
79. #15689634C22semidirect
83. #15689514C22semidirect
84. #15689509C22semidirect
85. #15689504C22semidirect
86. #15689494C22semidirect
87. #15689486C22semidirect
88. #15689481C22semidirect
89. #15689476C22semidirect
90. #15689468C22semidirect
91. #15689466C22semidirect
92. #15689460C22semidirect
93. #15689453C22semidirect
94. #15689450C22semidirect
95. #15689444C22semidirect
96. #15689444C22semidirect
97. #15689438C22semidirect
98. #15689436C22semidirect
99. #15689429C22semidirect
100. #15689426C22semidirect
101. #15689417C22semidirect
102. #15689402C22semidirect
103. #15689380C22semidirect
104. #15689374C22semidirect
105. #15689374C22semidirect
106. #15689372C22semidirect
107. #15689370C22semidirect
108. #15689370C22semidirect
109. #15689367C22semidirect
110. #15689367C22semidirect
111. #15689365C22semidirect
112. #15689363C22semidirect
113. #15689360C22semidirect
114. #15689355C22semidirect
115. #15689348C22semidirect
116. #15689344C22semidirect
117. #15689343C22semidirect
118. #15689343C22semidirect
119. #15689341C22semidirect
120. #15689337C22semidirect
121. #15689332C22semidirect
122. #15689327C22semidirect
123. #15689322C22semidirect
124. #15689321C22semidirect
125. #15689321C22semidirect
126. #15689317C22semidirect
127. #15689288C22semidirect
129. #15689287C22semidirect
130. #15689287C22semidirect
131. #15689287C22semidirect
132. #15689286C22semidirect
135. #15689283C22semidirect
136. #15689283C22semidirect
137. #15689282C22semidirect
138. #15689282C22semidirect
139. #15689280C22semidirect
140. #15689278C22semidirect
141. #15689278C22semidirect
142. #15689275C22semidirect
143. #15689274C22semidirect
144. #15689273C22semidirect
145. #15689273C22semidirect
146. #15689272C22semidirect
147. #15689272C22semidirect
148. #15689271C22semidirect
150. #15689270C22semidirect
151. #15689270C22semidirect
152. #15689270C22semidirect
153. #15689269C22semidirect
154. #15689266C22semidirect
155. #15689266C22semidirect
156. #15689263C22semidirect
157. #15689258C22semidirect
158. #15689257C22semidirect
159. #15689227C22semidirect
160. #15689226C22semidirect
161. #15689222C22semidirect
162. #15689222C22semidirect
163. #15689217C22semidirect
164. #15689215C22semidirect
165. #15689208C22semidirect
166. #15689205C22semidirect
167. #15689199C22semidirect
168. #15689199C22semidirect
169. #15689198C22semidirect
170. #15689198C22semidirect
171. #15689197C22semidirect
172. #15689197C22semidirect
173. #15689192C22semidirect
174. #15689192C22semidirect
175. #15689181C22semidirect
176. #15689181C22semidirect
177. #15689133C22semidirect
178. #15689129C22semidirect
179. #15689126C22semidirect
180. #15689122C22semidirect
181. #15689122C22semidirect
182. #15689121C22semidirect
183. #15689116C22semidirect
184. #102×D47C22semidirect
185. #15689088C22semidirect
186. #15689088C22semidirect
187. #15689087C22semidirect
188. C2×C22⋊Q8×C47C22semidirect
190. C47×#484C22semidirect
191. C47×#484C22semidirect
192. C47×#480C22semidirect
193. C47×#480C22semidirect
194. C47×#468C22semidirect
195. C47×#468C22semidirect
196. C47×#468C22semidirect
197. C47×#468C22semidirect
198. C47×#450C22semidirect
199. C47×#450C22semidirect
200. C47×#448C22semidirect
201. C47×#448C22semidirect
202. C47×#407C22semidirect
961. #3193D47semidirect
1031. C2×C22⋊Q8C2×D47semidirect
1045. #484C2×D47semidirect
1046. #484C2×D47semidirect
1053. #480C2×D47semidirect
1054. #480C2×D47semidirect
1067. #468C2×D47semidirect
1068. #468C2×D47semidirect
1069. #468C2×D47semidirect
1070. #468C2×D47semidirect
1108. #450C2×D47semidirect
1109. #450C2×D47semidirect
1119. #448C2×D47semidirect
1120. #448C2×D47semidirect
1152. #407C2×D47semidirect
1153. C47#61654semidirect

Maximal subgroups

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

subgroupindex
#202576852
#202570532
#202557242
#202556622
#202556142
#202555922
#202554722
#202554492
#202554042
#202553972
#202550522
#202550422
#202550222
#202549852
#202549762
#202549502
#202549012
#202548902
#202544862
#202544562
#202542922
#202542752
#202542022
#202536532
#202535972
#202526932
#202526602
#202526462
#202526332
#202524482
C47×#31932
#6165447