Finite Group Databasebeta

← #27102447

Subgroups — #27102447

Order 12032.

2074 conjugacy classes of subgroups.

The subgroup lattice has 1888 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257658C211yesmaximal, characteristic, complemented
2#20257027C211yesmaximal, characteristic, complemented
3#20255547C211yesmaximal, characteristic, complemented
4#20255538C211yesmaximal, characteristic, complemented
5#20255421C211yesmaximal, characteristic, complemented
6#20255420C211yesmaximal, characteristic, complemented
7#20255312C211yesmaximal, characteristic, complemented
8#20255304C211yesmaximal, characteristic, complemented
9#20255303C211yesmaximal, characteristic, complemented
10#20255100C211yesmaximal, characteristic, complemented
11#20255092C211yesmaximal, characteristic, complemented
12#20255074C211yesmaximal, characteristic, complemented
13#20255071C211yesmaximal, characteristic, complemented
14#20254941C211yesmaximal, characteristic, complemented
15#20254939C211yesmaximal, characteristic, complemented
16#20254919C211yesmaximal, characteristic, complemented
17#20254910C211yesmaximal, characteristic, complemented
18#20254500C211yesmaximal, characteristic, complemented
19#20254496C211yesmaximal, characteristic, complemented
20#20254282C211yesmaximal, characteristic, complemented
21#20254254C211yesmaximal, characteristic, complemented
22#20254183C211yesmaximal, characteristic, complemented
23#20254177C211yesmaximal, characteristic, complemented
24#20253577C211yesmaximal, characteristic, complemented
25#20253568C211yesmaximal, characteristic, complemented
26#20252668C211yesmaximal, characteristic, complemented
27#20252653C211yesmaximal, characteristic, complemented
28#20252608C211yesmaximal, characteristic, complemented
29#20252603C211yesmaximal, characteristic, complemented
30#20252441C211yesmaximal, characteristic, complemented
31C47×#3303C211yesmaximal, characteristic, complemented
32C2×#13094070C2211yescharacteristic
33C2×#41×D47C2211yescharacteristic, complemented
34C2×#13094054C2211yescharacteristic, complemented
35C2×#13094051C2211yescharacteristic, complemented
36C2×#13094046C2211yescharacteristic, complemented
37C2×#13094045C2211yescharacteristic, complemented
38C2×#13094044C2211yescharacteristic, complemented
39C2×#13094043C2211yescharacteristic, complemented
40C22×#10625325C2211yescharacteristic, complemented
41C2×D8×D47C2211yescharacteristic, complemented
42#15689865—21no—
43#15689861—21no—
44#15689855—21no—
45#15689847C2211yescharacteristic, complemented
46#15689841C2211yescharacteristic, complemented
47#15689836C2211yescharacteristic, complemented
48#15689797—21no—
49#15689782C2211yescharacteristic, complemented
50#15689779C2211yescharacteristic, complemented
51#15689776C2211yescharacteristic
52#15689775C2211yescharacteristic
53#15689774—21no—
54#15689772C2211yescharacteristic, complemented
55#15689771—21no—
56#15689770C2211yescharacteristic, complemented
57#15689769C2211yescharacteristic, complemented
58#15689768C2211yescharacteristic
59#15689768C2211yescharacteristic, complemented
60#15689765—21no—
61#15689764C2211yescharacteristic, complemented
62#15689762—21no—
63#15689761C2211yescharacteristic
64#15689747C2211yescharacteristic, complemented
65#15689744—21no—
66#15689742—21no—
67#15689738C2211yescharacteristic, complemented
68#15689710—21no—
69#15689707—21no—
70#15689699C2211yescharacteristic
71#15689698C2211yescharacteristic, complemented
72#15689696C2211yescharacteristic
73#15689689C2211yescharacteristic
74#15689684—21no—
75#15689681—21no—
76#15689636C2211yescharacteristic, complemented
77#15689635C2211yescharacteristic, complemented
78#15689633C2211yescharacteristic, complemented
79#15689632C2211yescharacteristic
80C2×#13094009—21no—
81#123×D47—21no—
82#15689595C2211yescharacteristic, complemented
83#15689515C2211yescharacteristic, complemented
84#15689514C2211yescharacteristic, complemented
85#15689507C2211yescharacteristic, complemented
86#15689504C2211yescharacteristic, complemented
87#15689485C2211yescharacteristic, complemented
88#15689484C2211yescharacteristic, complemented
89#15689472C2211yescharacteristic, complemented
90#15689467C2211yescharacteristic, complemented
91#15689467C2211yescharacteristic, complemented
92#15689466C2211yescharacteristic, complemented
93#15689464C2211yescharacteristic, complemented
94#15689462C2211yescharacteristic, complemented
95#15689462C2211yescharacteristic, complemented
96#15689449C2211yescharacteristic, complemented
97#15689449C2211yescharacteristic, complemented
98#15689447C2211yescharacteristic, complemented
99#15689446C2211yescharacteristic, complemented
100#15689411C2211yescharacteristic, complemented
101#15689402C2211yescharacteristic, complemented
102#15689400C2211yescharacteristic, complemented
103#15689382C2211yescharacteristic, complemented
104#15689380C2211yescharacteristic, complemented
105#15689371C2211yescharacteristic, complemented
106#15689367C2211yescharacteristic, complemented
107#15689365C2211yescharacteristic, complemented
108#15689363C2211yescharacteristic, complemented
109#15689363C2211yescharacteristic, complemented
110#15689362C2211yescharacteristic, complemented
111#15689360C2211yescharacteristic, complemented
112#15689357C2211yescharacteristic, complemented
113#15689355C2211yescharacteristic, complemented
114#15689353C2211yescharacteristic, complemented
115#15689352C2211yescharacteristic, complemented
116#15689352C2211yescharacteristic, complemented
117#15689348C2211yescharacteristic, complemented
118#15689346C2211yescharacteristic, complemented
119#15689341C2211yescharacteristic, complemented
120#15689339C2211yescharacteristic, complemented
121#15689338C2211yescharacteristic, complemented
122#15689338C2211yescharacteristic, complemented
123#15689337C2211yescharacteristic, complemented
124#15689336C2211yescharacteristic, complemented
125#15689332C2211yescharacteristic, complemented
126#15689330C2211yescharacteristic, complemented
127#15689327C2211yescharacteristic, complemented
128#15689288C2211yescharacteristic, complemented
129#15689288C2211yescharacteristic, complemented
130#15689288C2211yescharacteristic, complemented
131#15689288C2211yescharacteristic, complemented
132#15689288C2211yescharacteristic, complemented
133#15689287C2211yescharacteristic, complemented
134#15689286C2211yescharacteristic, complemented
135#15689285C2211yescharacteristic, complemented
136#15689283C2211yescharacteristic, complemented
137#15689282C2211yescharacteristic, complemented
138#15689281C2211yescharacteristic, complemented
139#15689280C2211yescharacteristic, complemented
140#15689280C2211yescharacteristic, complemented
141#15689278C2211yescharacteristic, complemented
142#15689275C2211yescharacteristic, complemented
143#15689275C2211yescharacteristic, complemented
144#15689275C2211yescharacteristic, complemented
145#15689275C2211yescharacteristic, complemented
146#15689275C2211yescharacteristic, complemented
147#15689272C2211yescharacteristic, complemented
148#15689271C2211yescharacteristic
149#15689271C2211yescharacteristic, complemented
150#15689270C2211yescharacteristic, complemented
151#15689269C2211yescharacteristic, complemented
152#15689269C2211yescharacteristic, complemented
153#15689268C2211yescharacteristic, complemented
154#15689267C2211yescharacteristic
155#15689266C2211yescharacteristic, complemented
156#15689263C2211yescharacteristic, complemented
157#15689260C2211yescharacteristic, complemented
158#15689259C2211yescharacteristic, complemented
159#15689258C2211yescharacteristic
160#15689256C2211yescharacteristic, complemented
161#15689255C2211yescharacteristic
162#15689234C2211yescharacteristic, complemented
163#15689233C2211yescharacteristic, complemented
164#15689223C2211yescharacteristic, complemented
165#15689220C2211yescharacteristic, complemented
166C4×#10625325C2211yescharacteristic, complemented
167#15689210C2211yescharacteristic, complemented
168#15689203C2211yescharacteristic, complemented
169#15689197C2211yescharacteristic, complemented
170#15689195C2211yescharacteristic, complemented
171#15689194C2211yescharacteristic, complemented
172#15689193C2211yescharacteristic, complemented
173C8×D188C2211yescharacteristic, complemented
174C8×C22⋊D47C2211yescharacteristic, complemented
175(C22⋊D47)⋊C8C2211yescharacteristic, complemented
176#15689183C2211yescharacteristic, complemented
177#15689182C2211yescharacteristic, complemented
178#15689127C2211yescharacteristic, complemented
179#15689126C2211yescharacteristic, complemented
180#15689118C2211yescharacteristic, complemented
181#15689118C2211yescharacteristic, complemented
182#15689117C2211yescharacteristic, complemented
183#15689116C2211yescharacteristic, complemented
184#15689089C2211yescharacteristic
185#15689088C2211yescharacteristic
186C2×(C2×D47)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D47C2211yescharacteristic, complemented
188C47×#555C2211yescharacteristic, complemented
189C47×#547C2211yescharacteristic, complemented
190C47×#487C2211yescharacteristic, complemented
191C47×#485C2211yescharacteristic, complemented
192C47×#485C2211yescharacteristic, complemented
193C47×#476C2211yescharacteristic, complemented
194C47×#465C2211yescharacteristic, complemented
195C47×#465C2211yescharacteristic, complemented
196C47×#461C2211yescharacteristic, complemented
197C47×#449C2211yescharacteristic, complemented
198C47×#449C2211yescharacteristic, complemented
199C4×D8×C47C2211yescharacteristic, complemented
200C8×D4×C47C2211yescharacteristic, complemented
201C47×#416C2211yescharacteristic, complemented
202C47×#416C2211yescharacteristic, complemented
203#13094070—42no—
204#13094070—42no—
205C2×#10625354C2311yescharacteristic
206C2×#10625354C2311yescharacteristic
207C2×#10625354C2311yescharacteristic
208C2×#10625350—21no—
209C2×#10625350—21no—
210C2×#10625350C2311yescharacteristic
211C2×#10625350C2311yescharacteristic
212C2×#10625350C2311yescharacteristic
213C2×#10625352—21no—
214C2×#10625352C2311yescharacteristic
215C2×#10625352C2311yescharacteristic
216#41×D47—42no—
217#41×D47—42no—
218C22×Dic94C2311yescharacteristic
219C2×Q8×D47C2311yescharacteristic
220C22×D188—21no—
221C22×D188C2311yescharacteristic
222C2×D4×D47—21no—
223C2×D4×D47—21no—
224C2×D4×D47—21no—
225C2×D4×D47C2311yescharacteristic
226C2×D4×D47C2311yescharacteristic
227C2×D4×D47C2311yescharacteristic
228C22×C4×D47—21no—
229C22×C4×D47C2311yescharacteristic
230#13094054—42no—
231#13094051—42no—
232#13094046—42no—
233#13094045—42no—
234#13094044—42no—
235#13094043—42no—
236C2×Dic188C2311yescharacteristic
237C2×Dic188C2311yescharacteristic
238C2×#10625337C2311yescharacteristic
239C2×#10625337C2311yescharacteristic
240C2×#10625337C2311yescharacteristic
241C2×#10625337C2311yescharacteristic
242C2×#10625325—42no—
243C2×#10625325C2311yescharacteristic
244C2×#10625325C2311yescharacteristic
245C2×#10625325C2311yescharacteristic
246C2×#10625325C2311yescharacteristic
247C2×#10625325C2311yescharacteristic
248C2×#10625335C2311yescharacteristic
249C2×#10625335C2311yescharacteristic
250C2×#10625335C2311yescharacteristic
251C2×#10625336C2311yescharacteristic
252C2×#10625336C2311yescharacteristic
253C2×D376C2311yescharacteristic
254C2×D376C2311yescharacteristic
255C2×#10625334C2311yescharacteristic
256C2×#10625334C2311yescharacteristic
257C2×#10625334C2311yescharacteristic
258D8×D47—42no—
259C2×#10625329C2311yescharacteristic
260C2×#10625324C2311yescharacteristic
261C22×C47⋊C8C2311yescharacteristic
262C2×C8×D47C2311yescharacteristic
263C2×C8×D47C2311yescharacteristic
264C2×C8×D47C2311yescharacteristic
265#13094024—21no—
266#13094023—21no—
267#13094023C2311yescharacteristic
268#13094022C2311yescharacteristic
269#13094020—21no—
270#13094019—21no—
271#13094019—21no—
272#13094019—21no—
273#13094018—21no—
274#13094017—21no—
275#13094017—21no—
276#13094013—21no—
277#13094013—21no—
278#13094013C2311yescharacteristic
279#13094012—21no—
280#13094012—21no—
281#13094012C2311yescharacteristic
282#13094012C2311yescharacteristic
283#13094011C2311yescharacteristic
284#13094010—21no—
285#13094010—21no—
286#13094010—21no—
287#13094010—21no—
288#13094010—21no—
289#13094010—21no—
290#13094010—21no—
291#13094009—21no—
292#13094009—21no—
293#13094009—21no—
294#13094009—21no—
295#13094009—21no—
296#13094009—21no—
297#13094009—21no—
298#13094009—21no—
299#13094009—21no—
300#13094009—21no—
301#13094009D411yescharacteristic
302#13094008—21no—
303#13094008—21no—
304#13094008—21no—
305#13094008—21no—
306#13094008—21no—
307#13094007—21no—
308#13094007—21no—
309#13094007—21no—
310#13094006—21no—
311#13094006—21no—
312#13094006—21no—
313#13094006—21no—
314#13094006D411yescharacteristic
315#13094005—21no—
316#13094004C2311yescharacteristic
317#13094004C2311yescharacteristic
318#13094004C2311yescharacteristic
319#13094004C2311yescharacteristic
320#13094004C2311yescharacteristic
321#13094004C2311yescharacteristic
322#13094003—21no—
323#13094003C2311yescharacteristic
324#13094003C2311yescharacteristic
325#13094002—21no—
326#13094002—21no—
327#13094002—21no—
328#13094002D411yescharacteristic
329#13094001—21no—
330#13094001D411yescharacteristic
331#13094000—21no—
332#13094000C2311yescharacteristic
333#13094000C2311yescharacteristic
334#13093999—21no—
335#13093999—21no—
336#13093999C2311yescharacteristic
337#13093999C2311yescharacteristic
338#13093999C2311yescharacteristic
339#13093998—21no—
340#13093998—21no—
341#13093998C2311yescharacteristic
342#13093998C2311yescharacteristic
343#13093997—21no—
344#13093997—21no—
345#13093997—21no—
346#13093997D411yescharacteristic
347#13093996—21no—
348#13093996—21no—
349#13093996—21no—
350#13093996—21no—
351#13093996D411yescharacteristic
352#13093995—21no—
353#13093995C2311yescharacteristic
354#13093994—21no—
355#13093994—21no—
356#13093994—21no—
357#13093994—21no—
358#13093994—21no—
359#13093994—21no—
360#13093994D411yescharacteristic
361#13093992—21no—
362#13093992—21no—
363#13093992—21no—
364#13093992—21no—
365#13093992—21no—
366#13093992D411yescharacteristic
367Q8×Dic47—21no—
368C4×Dic94—21no—
369C4×Dic94C2311yescharacteristic
370#13093989C2311yescharacteristic
371C4×D188—21no—
372C4×D188—21no—
373C4×D188C2311yescharacteristic
374C4×D188C2311yescharacteristic
375D4×Dic47—21no—
376D4×Dic47—21no—
377D4×Dic47C2311yescharacteristic
378#13093986—21no—
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(C22⋊D47)⋊C4—21no—
387(C22⋊D47)⋊C4—21no—
388#13093982C2311yescharacteristic
389#13093982C2311yescharacteristic
390#13093982C2311yescharacteristic
391#13093981—21no—
392#13093981C2311yescharacteristic
393C2×Dic47⋊C4—21no—
394C4⋊C4×D47—21no—
395C4⋊C4×D47—21no—
396C2×(C2×D47)⋊C4—21no—
397C2×(C2×D47)⋊C4—21no—
398C2×(C2×D47)⋊C4—21no—
399C2×(C2×D47)⋊C4—21no—
400C22⋊C4×D47—21no—
401C22⋊C4×D47—21no—
402C22⋊C4×D47—21no—
403C22⋊C4×D47—21no—
404#13093957C2311yescharacteristic
405#13093957C2311yescharacteristic
406#13093957C2311yescharacteristic
407#13093956C2311yescharacteristic
408#13093955C2311yescharacteristic
409C4⋊(C47⋊C8)C2311yescharacteristic
410Dic47⋊C8C2311yescharacteristic
411Dic47⋊C8C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093949C2311yescharacteristic
414#13093949C2311yescharacteristic
415#13093948C2311yescharacteristic
416#13093948C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093947C2311yescharacteristic
420#13093947C2311yescharacteristic
421#13093947C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093946C2311yescharacteristic
424#13093946C2311yescharacteristic
425#13093945C2311yescharacteristic
426#13093945C2311yescharacteristic
427#13093944C2311yescharacteristic
428#13093944C2311yescharacteristic
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
448C2×#41×C47C2311yescharacteristic
449C2×SD16×C47C2311yescharacteristic
450C2×SD16×C47C2311yescharacteristic
451C2×D8×C47C2311yescharacteristic
452C22×C8×C47C2311yescharacteristic
453C22×C8×C47C2311yescharacteristic
454C4⋊Q8×C47C2311yescharacteristic
455C4⋊Q8×C47C2311yescharacteristic
456#124×C47—21no—
457#124×C47—21no—
458#123×C47—21no—
459#123×C47—21no—
460C22⋊Q8×C47C2311yescharacteristic
461C22⋊Q8×C47C2311yescharacteristic
462#121×C47—21no—
463#121×C47—21no—
464#121×C47C2311yescharacteristic
465#121×C47C2311yescharacteristic
466C4×D4×C47C2311yescharacteristic
467C4×D4×C47C2311yescharacteristic
468C4×D4×C47C2311yescharacteristic
469#117×C47—21no—
470#117×C47C2311yescharacteristic
471#117×C47C2311yescharacteristic
472C2×C4⋊C4×C47—21no—
473#107×C47C2311yescharacteristic
474#106×C47C2311yescharacteristic
475#106×C47C2311yescharacteristic
476C4⋊C8×C47C2311yescharacteristic
477#103×C47C2311yescharacteristic
478#103×C47C2311yescharacteristic
479#103×C47C2311yescharacteristic
480#103×C47C2311yescharacteristic
481#103×C47C2311yescharacteristic
482#103×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486#102×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489C4×C8×C47C2311yescharacteristic
490C23×D47—21no—
491C23×D47—21no—
492C23×D47—21no—
493C23×D47—21no—
494C23×D47C2×D411yescharacteristic
495#41×C47—22no—
496#41×C47—22no—
497#41×C47—41no—
498#41×C47—41no—
499C2×Q8×C47—21no—
500C2×Q8×C47C2411yescharacteristic
501C2×Q8×C47C2411yescharacteristic
502C2×D4×C47—21no—
503C2×D4×C47—21no—
504C2×D4×C47—21no—
505C2×D4×C47—21no—
506C2×D4×C47C2×D411yescharacteristic
507C2×D4×C47C2411yescharacteristic
508C2×D4×C47C2411yescharacteristic
509C22×C4×C47—21no—
510C22×C4×C47—21no—
511C22×C4×C47—21no—
512C22×C4×C47—21no—
513C22×C4×C47C2411yescharacteristic
514C22×C4×C47C2411yescharacteristic
515C2×C22⋊D47—21no—
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⋊D47C2×D411yescharacteristic
526C2×C22⋊D47C2×D411yescharacteristic
527C2×C22⋊D47C2×D411yescharacteristic
528C2×C22⋊D47C2×D411yescharacteristic
529C22×Dic47—21no—
530C22×Dic47—21no—
531C22×Dic47—21no—
532C22×Dic47—21no—
533C22×Dic47C2×D411yescharacteristic
534#10625354—22no—
535#10625354—22no—
536#10625354—41no—
537#10625354—41no—
538#10625354—41no—
539#10625354—41no—
540Q8×D47—41no—
541Q8×D47—41no—
542#10625352—22no—
543#10625352—41no—
544#10625352—41no—
545#10625352—41no—
546#10625352—44no—
547D4×D47—22no—
548D4×D47—22no—
549D4×D47—22no—
550D4×D47—41no—
551D4×D47—41no—
552D4×D47—41no—
553D4×D47—44no—
554D4×D47—44no—
555D4×D47—44no—
556#10625350—22no—
557#10625350—41no—
558#10625350—41no—
559#10625350—41no—
560#10625350—41no—
561#10625350—41no—
562#10625350—44no—
563#10625350—44no—
564C2×D188—22no—
565C2×D188—21no—
566C2×D188—21no—
567C2×D188—21no—
568C2×D188—21no—
569C2×D188—21no—
570C2×D188—21no—
571C2×D188—21no—
572C2×D188—41no—
573C2×D188—44no—
574C2×D188C2×D411yescharacteristic
575C2×D188C2×D411yescharacteristic
576C2×D188C2411yescharacteristic
577C2×D188C2411yescharacteristic
578C2×D188C2411yescharacteristic
579C2×C4×D47—21no—
580C2×C4×D47—21no—
581C2×C4×D47—21no—
582C2×C4×D47—21no—
583C2×C4×D47—21no—
584C2×C4×D47—21no—
585C2×C4×D47—21no—
586C2×C4×D47—21no—
587C2×C4×D47—21no—
588C2×C4×D47—41no—
589C2×C4×D47—41no—
590C2×C4×D47—44no—
591C2×C4×D47C2×D411yescharacteristic
592C2×C4×D47C2×D411yescharacteristic
593C2×C4×D47C2411yescharacteristic
594C2×C4×D47C2411yescharacteristic
595C2×C4×D47C2411yescharacteristic
596C2×Dic94—21no—
597C2×Dic94—21no—
598C2×Dic94—21no—
599C2×Dic94—41no—
600C2×Dic94—41no—
601C2×Dic94C2×D411yescharacteristic
602C2×Dic94C2411yescharacteristic
603C2×Dic94C2411yescharacteristic
604C2×Dic94C2411yescharacteristic
605SD16×C47—41no—
606SD16×C47—41no—
607D8×C47—22no—
608C2×C8×C47—41no—
609C2×C8×C47—41no—
610C2×C8×C47C2411yescharacteristic
611C2×C8×C47C2411yescharacteristic
612C2×C8×C47C2411yescharacteristic
613C2×C8×C47C2411yescharacteristic
614C4⋊C4×C47—21no—
615C4⋊C4×C47—21no—
616C4⋊C4×C47—21no—
617C4⋊C4×C47—21no—
618C4⋊C4×C47—21no—
619C4⋊C4×C47C2×D411yescharacteristic
620C4⋊C4×C47C2411yescharacteristic
621C4⋊C4×C47C2411yescharacteristic
622C4⋊C4×C47C2411yescharacteristic
623C4⋊C4×C47C2411yescharacteristic
624C22⋊C4×C47—21no—
625C22⋊C4×C47—21no—
626C22⋊C4×C47—21no—
627C22⋊C4×C47—21no—
628C22⋊C4×C47—21no—
629C22⋊C4×C47—21no—
630C22⋊C4×C47—21no—
631C22⋊C4×C47—21no—
632C22⋊C4×C47C2×D411yescharacteristic
633C22⋊C4×C47C2×D411yescharacteristic
634C42×C47—21no—
635C42×C47—21no—
636C42×C47C2411yescharacteristic
637C22⋊Dic47—21no—
638C22⋊Dic47—21no—
639C22⋊Dic47—21no—
640C22⋊Dic47—21no—
641C22⋊Dic47—21no—
642C22⋊Dic47—21no—
643C22⋊Dic47C2×D411yescharacteristic
644C22⋊Dic47C2×D411yescharacteristic
645#10625337—41no—
646#10625337—41no—
647#10625337—41no—
648#10625337—41no—
649#10625336—41no—
650#10625336—41no—
651#10625335—22no—
652#10625335—22no—
653#10625335—41no—
654#10625334—22no—
655#10625334—22no—
656#10625334—41no—
657(C2×D47)⋊C4—21no—
658(C2×D47)⋊C4—21no—
659(C2×D47)⋊C4—21no—
660(C2×D47)⋊C4—21no—
661(C2×D47)⋊C4—21no—
662(C2×D47)⋊C4—21no—
663(C2×D47)⋊C4—21no—
664(C2×D47)⋊C4—21no—
665(C2×D47)⋊C4—21no—
666(C2×D47)⋊C4—21no—
667(C2×D47)⋊C4—21no—
668(C2×D47)⋊C4—21no—
669(C2×D47)⋊C4—21no—
670(C2×D47)⋊C4—21no—
671(C2×D47)⋊C4—21no—
672(C2×D47)⋊C4—21no—
673(C2×D47)⋊C4—21no—
674(C2×D47)⋊C4—21no—
675(C2×D47)⋊C4—21no—
676(C2×D47)⋊C4—21no—
677(C2×D47)⋊C4—21no—
678(C2×D47)⋊C4—21no—
679(C2×D47)⋊C4—21no—
680(C2×D47)⋊C4—21no—
681(C2×D47)⋊C4—21no—
682(C2×D47)⋊C4C2×D411yescharacteristic
683(C2×D47)⋊C4C2×D411yescharacteristic
684(C2×D47)⋊C4C2×D411yescharacteristic
685(C2×D47)⋊C4C2×D411yescharacteristic
686(C2×D47)⋊C4C2×D411yescharacteristic
687(C2×D47)⋊C4C2×D411yescharacteristic
688C4⋊Dic47—21no—
689C4⋊Dic47—21no—
690C4⋊Dic47—21no—
691C4⋊Dic47—21no—
692C4⋊Dic47—21no—
693C4⋊Dic47—21no—
694C4⋊Dic47C2×D411yescharacteristic
695C4⋊Dic47C2411yescharacteristic
696C4⋊Dic47C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
707Dic47⋊C4C2×D411yescharacteristic
708Dic47⋊C4C2×D411yescharacteristic
709Dic47⋊C4C2×D411yescharacteristic
710C4×Dic47—21no—
711C4×Dic47—21no—
712C4×Dic47—21no—
713C4×Dic47—21no—
714C4×Dic47—21no—
715C4×Dic47C2411yescharacteristic
716#10625329—41no—
717C2×C47⋊C8—41no—
718C2×C47⋊C8C2411yescharacteristic
719C2×C47⋊C8C2411yescharacteristic
720C2×C47⋊C8C2411yescharacteristic
721C2×C47⋊C8C2411yescharacteristic
722Dic188—41no—
723Dic188—41no—
724D376—22no—
725D376—41no—
726#10625325—22no—
727#10625325—22no—
728#10625325—41no—
729#10625325—41no—
730#10625325—41no—
731#10625324—41no—
732C8×D47—41no—
733C8×D47—41no—
734C8×D47—41no—
735C23×C47—21no—
736C23×C47—21no—
737C23×C47C22×D411yescharacteristic
738C23×C47C22×D411yescharacteristic
739C22×D47—21no—
740C22×D47—24no—
741C22×D47—21no—
742C22×D47—21no—
743C22×D47—41no—
744C22×D47—41no—
745C22×D47—41no—
746C22×D47—42no—
747C22×D47—42no—
748C22×D47—81no—
749C22×D47—81no—
750C22×D47—81no—
751C22×D47—81no—
752C22×D47—81no—
753C22×D47—81no—
754C22×D47—81no—
755C22×D47—81no—
756C22×D47—81no—
757C22×D47C22×D411yescharacteristic
758C22×D47C22×D411yescharacteristic
759C22×D47C22×D411yescharacteristic
760Q8×C47—21no—
761Q8×C47—21no—
762Q8×C47—21no—
763Q8×C47—21no—
764Q8×C47—81no—
765D4×C47—21no—
766D4×C47—21no—
767D4×C47—21no—
768D4×C47—41no—
769D4×C47—42no—
770D4×C47—42no—
771D4×C47—81no—
772D4×C47—81no—
773D4×C47H(5,𝔽2)12yes—
774C2×C4×C47—21no—
775C2×C4×C47—21no—
776C2×C4×C47—21no—
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—42no—
785C2×C4×C47—42no—
786C2×C4×C47—81no—
787C2×C4×C47—81no—
788C2×C4×C47C22×D411yescharacteristic
789C2×C4×C47C22×D411yescharacteristic
790C2×C4×C47C22×D411yescharacteristic
791C2×C4×C47C22×D411yescharacteristic
792C2×C4×C47C2511yescharacteristic
793C22⋊D47—24no—
794C22⋊D47—41no—
795C22⋊D47—41no—
796C22⋊D47—41no—
797C22⋊D47—41no—
798C22⋊D47—42no—
799C22⋊D47—42no—
800C22⋊D47—42no—
801C22⋊D47—81no—
802C22⋊D47—81no—
803C22⋊D47—81no—
804C22⋊D47—81no—
805C22⋊D47—81no—
806C22⋊D47—81no—
807C2×Dic47—21no—
808C2×Dic47—21no—
809C2×Dic47—21no—
810C2×Dic47—21no—
811C2×Dic47—21no—
812C2×Dic47—41no—
813C2×Dic47—42no—
814C2×Dic47—81no—
815C2×Dic47—81no—
816C2×Dic47—81no—
817C2×Dic47C22×D411yescharacteristic
818C2×Dic47C22×D411yescharacteristic
819C2×Dic47C22×D411yescharacteristic
820C2×Dic47C22×D411yescharacteristic
821C2×Dic47C22×D411yescharacteristic
822D188—21no—
823D188—21no—
824D188—21no—
825D188—21no—
826D188—21no—
827D188—41no—
828D188—41no—
829D188—42no—
830D188—42no—
831D188—42no—
832D188—42no—
833D188—81no—
834D188—81no—
835D188—81no—
836D188H(5,𝔽2)12yes—
837C4×D47—21no—
838C4×D47—21no—
839C4×D47—21no—
840C4×D47—21no—
841C4×D47—21no—
842C4×D47—21no—
843C4×D47—41no—
844C4×D47—41no—
845C4×D47—42no—
846C4×D47—42no—
847C4×D47—42no—
848C4×D47—42no—
849C4×D47—42no—
850C4×D47—81no—
851C4×D47—81no—
852C4×D47—81no—
853C4×D47—81no—
854Dic94—21no—
855Dic94—21no—
856Dic94—21no—
857Dic94—21no—
858Dic94—21no—
859Dic94—21no—
860Dic94—41no—
861Dic94—42no—
862Dic94—81no—
863Dic94—81no—
864C8×C47—21no—
865C8×C47—21no—
866C8×C47—21no—
867C8×C47—21no—
868C47⋊C8—21no—
869C47⋊C8—21no—
870C47⋊C8—21no—
871C47⋊C8—21no—
872#61636—471nomaximal, Sylow
873C22×C47—21no—
874C22×C47—21no—
875C22×C47—21no—
876C22×C47—21no—
877C22×C47—22no—
878C22×C47—21no—
879C22×C47—21no—
880C22×C47—41no—
881C22×C47—41no—
882C22×C47—41no—
883C22×C47—41no—
884C22×C47—41no—
885C22×C47C23×D411yescharacteristic
886C2×D47—21no—
887C2×D47—21no—
888C2×D47—21no—
889C2×D47—21no—
890C2×D47—21no—
891C2×D47—21no—
892C2×D47—21no—
893C2×D47—21no—
894C2×D47—21no—
895C2×D47—22no—
896C2×D47—41no—
897C2×D47—41no—
898C2×D47—41no—
899C2×D47—41no—
900C2×D47—41no—
901C2×D47—41no—
902C2×D47—41no—
903C2×D47—41no—
904C2×D47—84no—
905C2×D47—82no—
906C2×D47—162no—
907C2×D47—162no—
908C2×D47—162no—
909C4×C47—21no—
910C4×C47—21no—
911C4×C47—21no—
912C4×C47—21no—
913C4×C47—41no—
914C4×C47—41no—
915C4×C47—41no—
916C4×C47—41no—
917C4×C47—41no—
918C4×C47—41no—
919C4×C47C2×H(5,𝔽2)11yescharacteristic
920C4×C47C2×H(5,𝔽2)11yescharacteristic
921Dic47—21no—
922Dic47—21no—
923Dic47—21no—
924Dic47—21no—
925Dic47—21no—
926Dic47—41no—
927Dic47—41no—
928Dic47—41no—
929Dic47—41no—
930Dic47—41no—
931#3540—471no—
932#3485—471no—
933#3319—471no—
934#3319—471no—
935#3311—471no—
936#3311—471no—
937#3303—471no—
938#3303D4711yescharacteristic, complemented
939#3302—471no—
940#3302—471no—
941#3282—471no—
942#3282—471no—
943#3280—471no—
944#3280—471no—
945#3269—471no—
946#3269—471no—
947#3267—471no—
948#3267—471no—
949#3225—471no—
950#3225—471no—
951#3202—471no—
952#3200—471no—
953#3191—471no—
954#3191—471no—
955#3118—471no—
956#3118—471no—
957#3009—471no—
958#3008—471no—
959#3002—471no—
960#3002—471no—
961#2977—471no—
962C2×C47—42no—
963C2×C47—41no—
964C2×C47—41no—
965C2×C47—81no—
966C2×C47#348411yescharacteristic
967C2×C47#358411yescharacteristic
968C2×C47#358411yescharacteristic
969D47—41no—
970D47—41no—
971D47—41no—
972D47—42no—
973D47—81no—
974D47—81no—
975C2×H(5,𝔽2)—471no—
976C22×#41—471no—
977C2×#137—471no—
978C2×AGL(1,ℤ/8)—471no—
979C2×#135—471no—
980C2×#135—471no—
981C2×#135—471no—
982C2×#135—471no—
983C22×SD16—471no—
984C22×D8—471no—
985H(3,𝔽4)—941no—
986#560—941no—
987#559—941no—
988#556—471no—
989#556—471no—
990#555—471no—
991#555C2×D4711yescharacteristic, complemented
992#551—941no—
993#548—471no—
994#548—471no—
995#547—471no—
996#547—471no—
997#547—471no—
998#547—941no—
999#547—941no—
1000#547C2×D4711yescharacteristic, complemented
1001#546—471no—
1002#546—471no—
1003#546—471no—
1004#546—471no—
1005#546—471no—
1006#546—471no—
1007#546—941no—
1008#546—941no—
1009#542—471no—
1010#542—471no—
1011#542—941no—
1012#542—941no—
1013#538—941no—
1014#538—941no—
1015#536—471no—
1016#536—471no—
1017#536—471no—
1018#535—471no—
1019#534—941no—
1020#534—941no—
1021#525—471no—
1022#525—471no—
1023#525—471no—
1024#525—471no—
1025C2×#123—941no—
1026C2×#123—941no—
1027#518—471no—
1028#497—471no—
1029#497—471no—
1030#495—471no—
1031#495—471no—
1032#489—471no—
1033#489—471no—
1034#487—471no—
1035#487C2×D4711yescharacteristic, complemented
1036#485—471no—
1037#485—471no—
1038#485—471no—
1039#485—471no—
1040#485—471no—
1041#485—471no—
1042#485C2×D4711yescharacteristic, complemented
1043#485C2×D4711yescharacteristic, complemented
1044#482—471no—
1045#482—471no—
1046#482—471no—
1047#482—471no—
1048#476—471no—
1049#476C2×D4711yescharacteristic, complemented
1050#474—471no—
1051#474—471no—
1052#470—471no—
1053#470—471no—
1054#468—471no—
1055#468—471no—
1056#467—471no—
1057#467—471no—
1058#467—471no—
1059#467—471no—
1060#466—471no—
1061#466—471no—
1062#465—471no—
1063#465—471no—
1064#465—471no—
1065#465—471no—
1066#465C2×D4711yescharacteristic, complemented
1067#465C2×D4711yescharacteristic, complemented
1068#464—471no—
1069#464—471no—
1070#463—471no—
1071#463—471no—
1072#463—471no—
1073#463—471no—
1074#463—471no—
1075#463—471no—
1076#462—471no—
1077#462—471no—
1078#461—471no—
1079#461C2×D4711yescharacteristic, complemented
1080#452—471no—
1081#452—471no—
1082#452—471no—
1083#452—471no—
1084#452—471no—
1085#452—471no—
1086#452—471no—
1087#452—471no—
1088#452—471no—
1089#452—471no—
1090#451—471no—
1091#451—471no—
1092#451—471no—
1093#451—471no—
1094#450—471no—
1095#450—471no—
1096#450—471no—
1097#450—471no—
1098#450—471no—
1099#450—471no—
1100#449—471no—
1101#449—471no—
1102#449—471no—
1103#449—471no—
1104#449—471no—
1105#449—471no—
1106#449—471no—
1107#449—471no—
1108#449C2×D4711yescharacteristic, complemented
1109#449C2×D4711yescharacteristic, complemented
1110#448—471no—
1111#448—471no—
1112#447—471no—
1113#447—471no—
1114#447—471no—
1115#447—471no—
1116#442—471no—
1117#442—471no—
1118#440—471no—
1119#440—471no—
1120C4×SD16—471no—
1121C4×SD16—471no—
1122C4×D8—471no—
1123C4×D8C2×D4711yescharacteristic, complemented
1124#435—471no—
1125#435—471no—
1126#435—471no—
1127#435—471no—
1128C8×D4—471no—
1129C8×D4—471no—
1130C8×D4—471no—
1131C8×D4C2×D4711yescharacteristic, complemented
1132#433—471no—
1133#433—471no—
1134#418—471no—
1135#418—471no—
1136#416—471no—
1137#416—471no—
1138#416—471no—
1139#416—471no—
1140#416C2×D4711yescharacteristic, complemented
1141#416C2×D4711yescharacteristic, complemented
1142#408—471no—
1143#408—471no—
1144C2×C22⋊C8—471no—
1145C2×C22⋊C8—471no—
1146C47#6163611yescharacteristic, complemented, Sylow
1147H(5,𝔽2)—1882no—
1148H(5,𝔽2)—1882no—
1149C2×#41—471no—
1150C2×#41—471no—
1151C2×#41—471no—
1152C2×#41—471no—
1153C2×#41—471no—
1154C2×#41—471no—
1155C2×#41—471no—
1156C2×#41—471no—
1157C2×#41—941no—
1158C2×#41—941no—
1159C2×#41—941no—
1160C2×#41—1882no—
1161C2×#41—1882no—
1162C2×#41C22×D4711yescharacteristic
1163C2×#41C22×D4711yescharacteristic
1164C22×Q8—471no—
1165C22×Q8—471no—
1166C22×D4—471no—
1167C22×D4—471no—
1168C22×D4—471no—
1169C22×D4—471no—
1170C22×D4—941no—
1171C22×D4—941no—
1172C22×D4—941no—
1173C22×D4—941no—
1174C23×C4—471no—
1175C23×C4—941no—
1176#137—1882no—
1177AGL(1,ℤ/8)—1882no—
1178#135—1882no—
1179#135—1882no—
1180#135—1882no—
1181#135—1882no—
1182C2×Q16—471no—
1183C2×Q16—471no—
1184C2×Q16—471no—
1185C2×Q16—471no—
1186C2×Q16—471no—
1187C2×Q16—471no—
1188C2×SD16—471no—
1189C2×SD16—471no—
1190C2×SD16—471no—
1191C2×SD16—471no—
1192C2×SD16—471no—
1193C2×SD16—471no—
1194C2×SD16—471no—
1195C2×SD16—471no—
1196C2×SD16—471no—
1197C2×SD16—471no—
1198C2×SD16—1882no—
1199C2×SD16C22×D4711yescharacteristic
1200C2×SD16C22×D4711yescharacteristic
1201C2×D8—471no—
1202C2×D8—471no—
1203C2×D8—471no—
1204C2×D8—471no—
1205C2×D8—471no—
1206C2×D8—1882no—
1207C2×D8C22×D4711yescharacteristic
1208C2×M16—471no—
1209C2×M16—471no—
1210C22×C8—471no—
1211C22×C8—471no—
1212C22×C8—471no—
1213C22×C8—471no—
1214C22×C8C22×D4711yescharacteristic
1215C22×C8C22×D4711yescharacteristic
1216C4⋊Q8—471no—
1217C4⋊Q8—471no—
1218C4⋊Q8—941no—
1219C4⋊Q8—941no—
1220C4⋊Q8C22×D4711yescharacteristic
1221C4⋊Q8C22×D4711yescharacteristic
1222#127—941no—
1223#126—941no—
1224#126—941no—
1225#126—941no—
1226#126—941no—
1227#126—941no—
1228#126—941no—
1229#124—21no—
1230#124—21no—
1231#124—471no—
1232#124—471no—
1233#124—471no—
1234#124—471no—
1235#124—941no—
1236#124—941no—
1237#124—941no—
1238#124—941no—
1239#124—941no—
1240#124—941no—
1241#124—941no—
1242#124—941no—
1243#124—941no—
1244#124—941no—
1245#124—941no—
1246#123—21no—
1247#123—21no—
1248#123—471no—
1249#123—471no—
1250#123—941no—
1251#123—941no—
1252#123—941no—
1253#123—941no—
1254#123—941no—
1255#123—941no—
1256#123—941no—
1257#123—941no—
1258#123—941no—
1259#123—941no—
1260#123—941no—
1261#123—941no—
1262#123—941no—
1263#123—941no—
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—
1273C22⋊Q8—471no—
1274C22⋊Q8—471no—
1275C22⋊Q8—471no—
1276C22⋊Q8—471no—
1277C22⋊Q8—471no—
1278C22⋊Q8—471no—
1279C22⋊Q8—471no—
1280C22⋊Q8—471no—
1281C22⋊Q8—471no—
1282C22⋊Q8—471no—
1283C22⋊Q8—471no—
1284C22⋊Q8—471no—
1285C22⋊Q8—941no—
1286C22⋊Q8—941no—
1287C22⋊Q8—941no—
1288C22⋊Q8—941no—
1289C22⋊Q8—941no—
1290C22⋊Q8—941no—
1291C22⋊Q8C22×D4711yescharacteristic
1292C22⋊Q8C22×D4711yescharacteristic
1293#121—21no—
1294#121—21no—
1295#121—471no—
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#121C22×D4711yescharacteristic
1316#121C22×D4711yescharacteristic
1317#120—471no—
1318#120—471no—
1319#120—941no—
1320#120—941no—
1321#120—941no—
1322#120—941no—
1323#120—941no—
1324#120—941no—
1325#120—941no—
1326#120—941no—
1327#120—941no—
1328#120—941no—
1329#120—941no—
1330C4×Q8—471no—
1331C4×Q8—471no—
1332C4×Q8—941no—
1333C4×Q8—941no—
1334C4×D4—471no—
1335C4×D4—471no—
1336C4×D4—471no—
1337C4×D4—471no—
1338C4×D4—471no—
1339C4×D4—471no—
1340C4×D4—471no—
1341C4×D4—941no—
1342C4×D4—941no—
1343C4×D4—941no—
1344C4×D4—941no—
1345C4×D4—941no—
1346C4×D4—941no—
1347C4×D4—941no—
1348C4×D4—941no—
1349C4×D4—941no—
1350C4×D4—941no—
1351C4×D4C22×D4711yescharacteristic
1352C4×D4C22×D4711yescharacteristic
1353C4×D4C22×D4711yescharacteristic
1354#117—21no—
1355#117—471no—
1356#117—471no—
1357#117—471no—
1358#117—471no—
1359#117—941no—
1360#117C22×D4711yescharacteristic
1361#117C22×D4711yescharacteristic
1362C2×C4⋊C4—21no—
1363C2×C4⋊C4—941no—
1364C2×C4⋊C4—941no—
1365C2×C4⋊C4—941no—
1366C2×C22⋊C4—941no—
1367C2×C22⋊C4—941no—
1368C2×C22⋊C4—941no—
1369C2×C22⋊C4—941no—
1370C2×C22⋊C4—941no—
1371C2×C22⋊C4—941no—
1372C2×C22⋊C4—941no—
1373C2×C22⋊C4—941no—
1374#107—471no—
1375#107—471no—
1376#107—471no—
1377#107C22×D4711yescharacteristic
1378#106—471no—
1379#106—471no—
1380#106C22×D4711yescharacteristic
1381#106C22×D4711yescharacteristic
1382C4⋊C8—471no—
1383C4⋊C8—471no—
1384C4⋊C8—471no—
1385C4⋊C8C22×D4711yescharacteristic
1386#103—471no—
1387#103—471no—
1388#103—471no—
1389#103—471no—
1390#103—471no—
1391#103—471no—
1392#103—471no—
1393#103—471no—
1394#103—471no—
1395#103—471no—
1396#103C22×D4711yescharacteristic
1397#103C22×D4711yescharacteristic
1398#103C22×D4711yescharacteristic
1399#103C22×D4711yescharacteristic
1400#103C22×D4711yescharacteristic
1401#103C22×D4711yescharacteristic
1402#102—471no—
1403#102—471no—
1404#102—471no—
1405#102—471no—
1406#102—471no—
1407#102—471no—
1408#102—471no—
1409#102—471no—
1410#102—471no—
1411#102—471no—
1412#102—471no—
1413#102—471no—
1414#102C22×D4711yescharacteristic
1415#102C22×D4711yescharacteristic
1416#102C22×D4711yescharacteristic
1417#102C22×D4711yescharacteristic
1418C22⋊C8—471no—
1419C22⋊C8—471no—
1420C22⋊C8—471no—
1421C22⋊C8—471no—
1422C22⋊C8—471no—
1423C22⋊C8—471no—
1424C22⋊C8—471no—
1425C22⋊C8—471no—
1426C22⋊C8—471no—
1427C22⋊C8—471no—
1428C22⋊C8C22×D4711yescharacteristic
1429C22⋊C8C22×D4711yescharacteristic
1430#97—471no—
1431#97—471no—
1432C4×C8—471no—
1433C4×C8C22×D4711yescharacteristic
1434C24—471no—
1435C24—941no—
1436C24—941no—
1437C24—941no—
1438C24—941no—
1439#41—22no—
1440#41—22no—
1441#41—41no—
1442#41—41no—
1443#41—942no—
1444#41—942no—
1445#41—942no—
1446#41—942no—
1447#41—1881no—
1448#41—1881no—
1449#41—1881no—
1450#41—1881no—
1451#41—1881no—
1452#41—1884no—
1453#41—1884no—
1454#41—1881no—
1455#41—1881no—
1456#41—1881no—
1457#41—1881no—
1458#41—1881no—
1459#41—1881no—
1460#41—1881no—
1461#41—1884no—
1462C2×Q8—21no—
1463C2×Q8—471no—
1464C2×Q8—471no—
1465C2×Q8—471no—
1466C2×Q8—471no—
1467C2×Q8—941no—
1468C2×Q8—941no—
1469C2×Q8—941no—
1470C2×Q8—1881no—
1471C2×Q8—1881no—
1472C2×Q8—1881no—
1473C2×Q8—1881no—
1474C2×Q8C23×D4711yescharacteristic
1475C2×Q8C23×D4711yescharacteristic
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—471no—
1481C2×D4—471no—
1482C2×D4—471no—
1483C2×D4—471no—
1484C2×D4—471no—
1485C2×D4—471no—
1486C2×D4—471no—
1487C2×D4—471no—
1488C2×D4—471no—
1489C2×D4—942no—
1490C2×D4—941no—
1491C2×D4—941no—
1492C2×D4—941no—
1493C2×D4—941no—
1494C2×D4—941no—
1495C2×D4—941no—
1496C2×D4—941no—
1497C2×D4—941no—
1498C2×D4—941no—
1499C2×D4—942no—
1500C2×D4—942no—
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—1881no—
1511C2×D4—1884no—
1512C2×D4—1881no—
1513C2×D4—1881no—
1514C2×D4—1881no—
1515C2×D4—1884no—
1516C2×D4—1884no—
1517C2×D4—1884no—
1518C2×D4D4×D4711yescharacteristic
1519C2×D4C23×D4711yescharacteristic
1520C2×D4C23×D4711yescharacteristic
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—471no—
1526C22×C4—471no—
1527C22×C4—471no—
1528C22×C4—471no—
1529C22×C4—471no—
1530C22×C4—471no—
1531C22×C4—941no—
1532C22×C4—941no—
1533C22×C4—941no—
1534C22×C4—941no—
1535C22×C4—941no—
1536C22×C4—941no—
1537C22×C4—941no—
1538C22×C4—941no—
1539C22×C4—941no—
1540C22×C4—941no—
1541C22×C4—941no—
1542C22×C4—941no—
1543C22×C4—941no—
1544C22×C4—1881no—
1545C22×C4—1881no—
1546C22×C4—1884no—
1547C22×C4C23×D4711yescharacteristic
1548C22×C4C23×D4711yescharacteristic
1549Q16—1881no—
1550Q16—1881no—
1551Q16—1881no—
1552Q16—1881no—
1553Q16—1881no—
1554Q16—1881no—
1555SD16—41no—
1556SD16—41no—
1557SD16—942no—
1558SD16—942no—
1559SD16—942no—
1560SD16—942no—
1561SD16—1881no—
1562SD16—1881no—
1563SD16—1881no—
1564SD16—1881no—
1565SD16—1881no—
1566SD16—1881no—
1567D8—22no—
1568D8—942no—
1569D8—942no—
1570D8—942no—
1571D8—1881no—
1572D8—1881no—
1573M16—1881no—
1574M16—1881no—
1575C2×C8—41no—
1576C2×C8—41no—
1577C2×C8—471no—
1578C2×C8—471no—
1579C2×C8—471no—
1580C2×C8—471no—
1581C2×C8—1881no—
1582C2×C8—1881no—
1583C2×C8—1881no—
1584C2×C8—1881no—
1585C2×C8C23×D4711yescharacteristic
1586C2×C8C23×D4711yescharacteristic
1587C2×C8C23×D4711yescharacteristic
1588C2×C8C23×D4711yescharacteristic
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—471no—
1595C4⋊C4—471no—
1596C4⋊C4—471no—
1597C4⋊C4—471no—
1598C4⋊C4—471no—
1599C4⋊C4—471no—
1600C4⋊C4—471no—
1601C4⋊C4—941no—
1602C4⋊C4—941no—
1603C4⋊C4—941no—
1604C4⋊C4—941no—
1605C4⋊C4—941no—
1606C4⋊C4—941no—
1607C4⋊C4—941no—
1608C4⋊C4—941no—
1609C4⋊C4—941no—
1610C4⋊C4—941no—
1611C4⋊C4—941no—
1612C4⋊C4—941no—
1613C4⋊C4—941no—
1614C4⋊C4—941no—
1615C4⋊C4—941no—
1616C4⋊C4D4×D4711yescharacteristic
1617C4⋊C4C23×D4711yescharacteristic
1618C4⋊C4C23×D4711yescharacteristic
1619C4⋊C4C23×D4711yescharacteristic
1620C4⋊C4C23×D4711yescharacteristic
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—471no—
1630C22⋊C4—471no—
1631C22⋊C4—471no—
1632C22⋊C4—471no—
1633C22⋊C4—471no—
1634C22⋊C4—471no—
1635C22⋊C4—471no—
1636C22⋊C4—471no—
1637C22⋊C4—941no—
1638C22⋊C4—941no—
1639C22⋊C4—941no—
1640C22⋊C4—941no—
1641C22⋊C4—941no—
1642C22⋊C4—941no—
1643C22⋊C4—941no—
1644C22⋊C4—941no—
1645C22⋊C4—941no—
1646C22⋊C4—941no—
1647C22⋊C4—941no—
1648C22⋊C4—941no—
1649C22⋊C4—941no—
1650C22⋊C4—941no—
1651C22⋊C4—941no—
1652C22⋊C4—941no—
1653C22⋊C4—941no—
1654C22⋊C4—941no—
1655C22⋊C4—941no—
1656C22⋊C4—941no—
1657C22⋊C4—941no—
1658C22⋊C4—941no—
1659C22⋊C4—941no—
1660C22⋊C4—941no—
1661C22⋊C4—941no—
1662C22⋊C4—941no—
1663C22⋊C4—941no—
1664C22⋊C4—941no—
1665C22⋊C4—941no—
1666C22⋊C4—941no—
1667C22⋊C4—941no—
1668C22⋊C4D4×D4711yescharacteristic
1669C22⋊C4D4×D4711yescharacteristic
1670C42—21no—
1671C42—21no—
1672C42—471no—
1673C42—941no—
1674C42—941no—
1675C42—941no—
1676C42—941no—
1677C42—941no—
1678C42C23×D4711yescharacteristic
1679C23—21no—
1680C23—21no—
1681C23—471no—
1682C23—471no—
1683C23—471no—
1684C23—944no—
1685C23—941no—
1686C23—941no—
1687C23—941no—
1688C23—3761no—
1689C23—3761no—
1690C23—3761no—
1691C23—3761no—
1692C23—3761no—
1693C23—3761no—
1694C23—3761no—
1695C23—3761no—
1696C23—3761no—
1697C23—1881no—
1698C23—1881no—
1699C23—1881no—
1700C23—1882no—
1701C23—1882no—
1702C23C2×D4×D4711yescharacteristic
1703C23C2×D4×D4711yescharacteristic
1704Q8—21no—
1705Q8—21no—
1706Q8—21no—
1707Q8—21no—
1708Q8—81no—
1709Q8—941no—
1710Q8—941no—
1711Q8—941no—
1712Q8—941no—
1713Q8—941no—
1714Q8—941no—
1715Q8—3761no—
1716Q8—3761no—
1717Q8—1881no—
1718Q8—1882no—
1719D4—21no—
1720D4—21no—
1721D4—21no—
1722D4—41no—
1723D4—42no—
1724D4—42no—
1725D4—81no—
1726D4—81no—
1727D4—472no—
1728D4—944no—
1729D4—941no—
1730D4—941no—
1731D4—941no—
1732D4—941no—
1733D4—941no—
1734D4—3761no—
1735D4—3761no—
1736D4—3761no—
1737D4—3761no—
1738D4—3761no—
1739D4—3761no—
1740D4—3761no—
1741D4—3761no—
1742D4—3761no—
1743D4—1881no—
1744D4—1881no—
1745D4—1882no—
1746D4—1882no—
1747D4—1882no—
1748D4—1882no—
1749D4—1881no—
1750D4—1881no—
1751D4—1881no—
1752D4—1881no—
1753D4—1882no—
1754D4—1882no—
1755D4—1882no—
1756D4#1309407012yes—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—42no—
1768C2×C4—42no—
1769C2×C4—81no—
1770C2×C4—81no—
1771C2×C4—471no—
1772C2×C4—471no—
1773C2×C4—471no—
1774C2×C4—471no—
1775C2×C4—471no—
1776C2×C4—941no—
1777C2×C4—941no—
1778C2×C4—941no—
1779C2×C4—941no—
1780C2×C4—941no—
1781C2×C4—941no—
1782C2×C4—941no—
1783C2×C4—941no—
1784C2×C4—941no—
1785C2×C4—941no—
1786C2×C4—941no—
1787C2×C4—3761no—
1788C2×C4—3761no—
1789C2×C4—3761no—
1790C2×C4—3761no—
1791C2×C4—3761no—
1792C2×C4—3761no—
1793C2×C4—3761no—
1794C2×C4—1881no—
1795C2×C4—1881no—
1796C2×C4—1882no—
1797C2×C4—1882no—
1798C2×C4—1882no—
1799C2×C4—1882no—
1800C2×C4—1882no—
1801C2×C4—1881no—
1802C2×C4—1882no—
1803C2×C4C2×D4×D4711yescharacteristic
1804C2×C4C2×D4×D4711yescharacteristic
1805C2×C4C2×D4×D4711yescharacteristic
1806C2×C4C2×D4×D4711yescharacteristic
1807C2×C4C24×D4711yescharacteristic
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—941no—
1813C8—941no—
1814C8—941no—
1815C8—941no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—22no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—941no—
1829C22—941no—
1830C22—941no—
1831C22—941no—
1832C22—941no—
1833C22—941no—
1834C22—941no—
1835C22—941no—
1836C22—941no—
1837C22—942no—
1838C22—3764no—
1839C22—3762no—
1840C22—1881no—
1841C22—1881no—
1842C22—1881no—
1843C22—1881no—
1844C22—1881no—
1845C22—1881no—
1846C22—1881no—
1847C22—1881no—
1848C22—7522no—
1849C22—7522no—
1850C22—7522no—
1851C22C22×D4×D4711yescharacteristic
1852C4—21no—
1853C4—21no—
1854C4—21no—
1855C4—21no—
1856C4—41no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—41no—
1861C4—41no—
1862C4—941no—
1863C4—941no—
1864C4—941no—
1865C4—941no—
1866C4—941no—
1867C4—1881no—
1868C4—1881no—
1869C4—1881no—
1870C4—1881no—
1871C4—1881no—
1872C4H(5,𝔽2)×D4711yescharacteristic
1873C4C2×#1309407011yescharacteristic
1874C2—41no—
1875C2—41no—
1876C2—42no—
1877C2—81no—
1878C2—3761no—
1879C2—3761no—
1880C2—1881no—
1881C2—1881no—
1882C2—1881no—
1883C2—1882no—
1884C2#2025701811yescharacteristic
1885C2#2025815711yescharacteristic
1886C2#2025816011yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3303C2
socleC22×C47C23×D4
hypercenter#3303D47
hypocenterC47#61636
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3303

Complements

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

NH ≅ G/Ntype
1. #20257658C2semidirect
2. #20257027C2semidirect
3. #20255547C2semidirect
4. #20255538C2semidirect
5. #20255421C2semidirect
6. #20255420C2semidirect
7. #20255312C2semidirect
8. #20255304C2semidirect
9. #20255303C2semidirect
10. #20255100C2semidirect
11. #20255092C2semidirect
12. #20255074C2semidirect
13. #20255071C2semidirect
14. #20254941C2semidirect
15. #20254939C2semidirect
16. #20254919C2semidirect
17. #20254910C2semidirect
18. #20254500C2semidirect
19. #20254496C2semidirect
20. #20254282C2semidirect
21. #20254254C2semidirect
22. #20254183C2semidirect
23. #20254177C2semidirect
24. #20253577C2semidirect
25. #20253568C2semidirect
26. #20252668C2semidirect
27. #20252653C2semidirect
28. #20252608C2semidirect
29. #20252603C2semidirect
30. #20252441C2semidirect
31. C47×#3303C2semidirect
33. C2×#41×D47C22semidirect
34. C2×#13094054C22semidirect
35. C2×#13094051C22semidirect
36. C2×#13094046C22semidirect
37. C2×#13094045C22semidirect
38. C2×#13094044C22semidirect
39. C2×#13094043C22semidirect
40. C22×#10625325C22semidirect
41. C2×D8×D47C22semidirect
45. #15689847C22semidirect
46. #15689841C22semidirect
47. #15689836C22semidirect
49. #15689782C22semidirect
50. #15689779C22semidirect
54. #15689772C22semidirect
56. #15689770C22semidirect
57. #15689769C22semidirect
59. #15689768C22semidirect
61. #15689764C22semidirect
64. #15689747C22semidirect
67. #15689738C22semidirect
71. #15689698C22semidirect
76. #15689636C22semidirect
77. #15689635C22semidirect
78. #15689633C22semidirect
82. #15689595C22semidirect
83. #15689515C22semidirect
84. #15689514C22semidirect
85. #15689507C22semidirect
86. #15689504C22semidirect
87. #15689485C22semidirect
88. #15689484C22semidirect
89. #15689472C22semidirect
90. #15689467C22semidirect
91. #15689467C22semidirect
92. #15689466C22semidirect
93. #15689464C22semidirect
94. #15689462C22semidirect
95. #15689462C22semidirect
96. #15689449C22semidirect
97. #15689449C22semidirect
98. #15689447C22semidirect
99. #15689446C22semidirect
100. #15689411C22semidirect
101. #15689402C22semidirect
102. #15689400C22semidirect
103. #15689382C22semidirect
104. #15689380C22semidirect
105. #15689371C22semidirect
106. #15689367C22semidirect
107. #15689365C22semidirect
108. #15689363C22semidirect
109. #15689363C22semidirect
110. #15689362C22semidirect
111. #15689360C22semidirect
112. #15689357C22semidirect
113. #15689355C22semidirect
114. #15689353C22semidirect
115. #15689352C22semidirect
116. #15689352C22semidirect
117. #15689348C22semidirect
118. #15689346C22semidirect
119. #15689341C22semidirect
120. #15689339C22semidirect
121. #15689338C22semidirect
122. #15689338C22semidirect
123. #15689337C22semidirect
124. #15689336C22semidirect
125. #15689332C22semidirect
126. #15689330C22semidirect
127. #15689327C22semidirect
128. #15689288C22semidirect
129. #15689288C22semidirect
130. #15689288C22semidirect
131. #15689288C22semidirect
132. #15689288C22semidirect
133. #15689287C22semidirect
134. #15689286C22semidirect
135. #15689285C22semidirect
136. #15689283C22semidirect
137. #15689282C22semidirect
138. #15689281C22semidirect
139. #15689280C22semidirect
140. #15689280C22semidirect
141. #15689278C22semidirect
142. #15689275C22semidirect
143. #15689275C22semidirect
144. #15689275C22semidirect
145. #15689275C22semidirect
146. #15689275C22semidirect
147. #15689272C22semidirect
149. #15689271C22semidirect
150. #15689270C22semidirect
151. #15689269C22semidirect
152. #15689269C22semidirect
153. #15689268C22semidirect
155. #15689266C22semidirect
156. #15689263C22semidirect
157. #15689260C22semidirect
158. #15689259C22semidirect
160. #15689256C22semidirect
162. #15689234C22semidirect
163. #15689233C22semidirect
164. #15689223C22semidirect
165. #15689220C22semidirect
166. C4×#10625325C22semidirect
167. #15689210C22semidirect
168. #15689203C22semidirect
169. #15689197C22semidirect
170. #15689195C22semidirect
171. #15689194C22semidirect
172. #15689193C22semidirect
173. C8×D188C22semidirect
174. C8×C22⋊D47C22semidirect
175. (C22⋊D47)⋊C8C22semidirect
176. #15689183C22semidirect
177. #15689182C22semidirect
178. #15689127C22semidirect
179. #15689126C22semidirect
180. #15689118C22semidirect
181. #15689118C22semidirect
182. #15689117C22semidirect
183. #15689116C22semidirect
186. C2×(C2×D47)⋊C8C22semidirect
187. C22⋊C8×D47C22semidirect
188. C47×#555C22semidirect
189. C47×#547C22semidirect
190. C47×#487C22semidirect
191. C47×#485C22semidirect
192. C47×#485C22semidirect
193. C47×#476C22semidirect
194. C47×#465C22semidirect
195. C47×#465C22semidirect
196. C47×#461C22semidirect
197. C47×#449C22semidirect
198. C47×#449C22semidirect
199. C4×D8×C47C22semidirect
200. C8×D4×C47C22semidirect
201. C47×#416C22semidirect
202. C47×#416C22semidirect
938. #3303D47semidirect
991. #555C2×D47semidirect
1000. #547C2×D47semidirect
1035. #487C2×D47semidirect
1042. #485C2×D47semidirect
1043. #485C2×D47semidirect
1049. #476C2×D47semidirect
1066. #465C2×D47semidirect
1067. #465C2×D47semidirect
1079. #461C2×D47semidirect
1108. #449C2×D47semidirect
1109. #449C2×D47semidirect
1123. C4×D8C2×D47semidirect
1131. C8×D4C2×D47semidirect
1140. #416C2×D47semidirect
1141. #416C2×D47semidirect
1146. C47#61636semidirect

Maximal subgroups

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

subgroupindex
#202576582
#202570272
#202555472
#202555382
#202554212
#202554202
#202553122
#202553042
#202553032
#202551002
#202550922
#202550742
#202550712
#202549412
#202549392
#202549192
#202549102
#202545002
#202544962
#202542822
#202542542
#202541832
#202541772
#202535772
#202535682
#202526682
#202526532
#202526082
#202526032
#202524412
C47×#33032
#6163647