Finite Group Databasebeta

← #27101762

Subgroups — #27101762

Order 12032.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257222C211yesmaximal, characteristic, complemented
2#20256871C211yesmaximal, characteristic, complemented
3#20255659C211yesmaximal, characteristic, complemented
4#20255607C211yesmaximal, characteristic, complemented
5#20255565C211yesmaximal, characteristic, complemented
6#20255535C211yesmaximal, characteristic, complemented
7#20255517C211yesmaximal, characteristic, complemented
8#20255487C211yesmaximal, characteristic, complemented
9#20255296C211yesmaximal, characteristic, complemented
10#20255244C211yesmaximal, characteristic, complemented
11#20255126C211yesmaximal, characteristic, complemented
12#20255092C211yesmaximal, characteristic, complemented
13#20255023C211yesmaximal, characteristic, complemented
14#20254999C211yesmaximal, characteristic, complemented
15#20254955C211yesmaximal, characteristic, complemented
16#20254926C211yesmaximal, characteristic, complemented
17#20254911C211yesmaximal, characteristic, complemented
18#20254880C211yesmaximal, characteristic, complemented
19#20254423C211yesmaximal, characteristic, complemented
20#20254361C211yesmaximal, characteristic, complemented
21#20254228C211yesmaximal, characteristic, complemented
22#20254214C211yesmaximal, characteristic, complemented
23#20254179C211yesmaximal, characteristic, complemented
24#20253492C211yesmaximal, characteristic, complemented
25#20253401C211yesmaximal, characteristic, complemented
26#20252638C211yesmaximal, characteristic, complemented
27#20252626C211yesmaximal, characteristic, complemented
28#20252603C211yesmaximal, characteristic, complemented
29C2×#15689287C211yesmaximal, characteristic, complemented
30#20252419C211yesmaximal, characteristic, complemented
31C47×#3188C211yesmaximal, characteristic, complemented
32C22×#10625350C2211yescharacteristic
33C2×#41×D47C2211yescharacteristic, complemented
34C2×#13094053C2211yescharacteristic, complemented
35C2×#13094050C2211yescharacteristic, complemented
36C2×#13094050C2211yescharacteristic, complemented
37C2×#13094048C2211yescharacteristic, complemented
38C2×#13094045C2211yescharacteristic, complemented
39C2×#13094043C2211yescharacteristic, complemented
40C22×Dic188C2211yescharacteristic, complemented
41C22×#10625325C2211yescharacteristic, complemented
42#15689825C2211yescharacteristic
43#15689825C2211yescharacteristic, complemented
44#15689816—21no—
45#15689816—21no—
46#15689808C2211yescharacteristic, complemented
47#15689808C2211yescharacteristic, complemented
48#15689799—21no—
49#15689799—21no—
50#15689791C2211yescharacteristic
51#15689786C2211yescharacteristic, complemented
52#15689783C2211yescharacteristic
53#15689779C2211yescharacteristic
54#15689779C2211yescharacteristic, complemented
55#15689779C2211yescharacteristic, complemented
56#15689775C2211yescharacteristic
57#15689771—21no—
58#15689770C2211yescharacteristic
59#15689767C2211yescharacteristic, complemented
60#15689767C2211yescharacteristic, complemented
61#15689765—21no—
62#15689764C2211yescharacteristic, complemented
63#15689760—21no—
64#15689757C2211yescharacteristic, complemented
65#15689755—21no—
66#15689718—21no—
67#15689710—21no—
68#15689682—21no—
69#15689670—21no—
70#15689669C2211yescharacteristic, complemented
71#15689654C2211yescharacteristic, complemented
72#15689654C2211yescharacteristic, complemented
73#15689635C2211yescharacteristic, complemented
74#15689633C2211yescharacteristic, complemented
75#15689633C2211yescharacteristic, complemented
76#15689632—21no—
77#15689632—21no—
78C2×#13094003C2211yescharacteristic, complemented
79#15689598—21no—
80#15689591C2211yescharacteristic, complemented
81C2×C4×C22⋊D47C2211yescharacteristic
82C4×D4×D47—21no—
83#15689514C2211yescharacteristic, complemented
84#15689511C2211yescharacteristic, complemented
85#15689506C2211yescharacteristic, complemented
86#15689504C2211yescharacteristic, complemented
87#15689490C2211yescharacteristic, complemented
88#15689486C2211yescharacteristic, complemented
89#15689479C2211yescharacteristic, complemented
90#15689476C2211yescharacteristic, complemented
91#15689467C2211yescharacteristic, complemented
92#15689466C2211yescharacteristic, complemented
93#15689464C2211yescharacteristic, complemented
94#15689464C2211yescharacteristic, complemented
95#15689456C2211yescharacteristic, complemented
96#15689450C2211yescharacteristic, complemented
97#15689449C2211yescharacteristic, complemented
98#15689439C2211yescharacteristic, complemented
99#15689433C2211yescharacteristic, complemented
100#15689429C2211yescharacteristic, complemented
101#15689426C2211yescharacteristic, complemented
102#15689422C2211yescharacteristic, complemented
103#15689382C2211yescharacteristic, complemented
104#15689379C2211yescharacteristic, complemented
105#15689379C2211yescharacteristic, complemented
106#15689375C2211yescharacteristic, complemented
107#15689370C2211yescharacteristic, complemented
108#15689368C2211yescharacteristic, complemented
109#15689367C2211yescharacteristic, complemented
110#15689367C2211yescharacteristic, complemented
111#15689365C2211yescharacteristic, complemented
112#15689358C2211yescharacteristic, complemented
113#15689353C2211yescharacteristic, complemented
114#15689351C2211yescharacteristic, complemented
115#15689348C2211yescharacteristic, complemented
116#15689344C2211yescharacteristic, complemented
117#15689344C2211yescharacteristic, complemented
118#15689344C2211yescharacteristic, complemented
119#15689340C2211yescharacteristic, complemented
120#15689337C2211yescharacteristic, complemented
121#15689337C2211yescharacteristic, complemented
122#15689336C2211yescharacteristic, complemented
123#15689332C2211yescharacteristic, complemented
124#15689326C2211yescharacteristic, complemented
125#15689322C2211yescharacteristic, complemented
126#15689316C2211yescharacteristic, complemented
127#15689288C2211yescharacteristic, complemented
128#15689287C2211yescharacteristic, complemented
129#15689287C2211yescharacteristic, complemented
130#15689287C2211yescharacteristic, complemented
131#15689287C2211yescharacteristic, complemented
132#15689287C2211yescharacteristic, complemented
133#15689287C2211yescharacteristic, complemented
134#15689287C2211yescharacteristic, complemented
135#15689287C2211yescharacteristic, complemented
136#15689286C2211yescharacteristic, complemented
137#15689286C2211yescharacteristic, complemented
138#15689286C2211yescharacteristic, complemented
139#15689285C2211yescharacteristic, complemented
140#15689285C2211yescharacteristic, complemented
141#15689280C2211yescharacteristic, complemented
142#15689278C2211yescharacteristic, complemented
143#15689275C2211yescharacteristic, complemented
144#15689269C2211yescharacteristic, complemented
145#15689269C2211yescharacteristic, complemented
146#15689267C2211yescharacteristic, complemented
147#15689266C2211yescharacteristic
148#15689266C2211yescharacteristic
149#15689266C2211yescharacteristic, complemented
150#15689266C2211yescharacteristic, complemented
151#15689265C2211yescharacteristic, complemented
152#15689261C2211yescharacteristic, complemented
153#15689261C2211yescharacteristic, complemented
154#15689261C2211yescharacteristic, complemented
155#15689260C2211yescharacteristic, complemented
156#15689256C2211yescharacteristic, complemented
157#15689256C2211yescharacteristic, complemented
158#15689255C2211yescharacteristic, complemented
159#15689232C2211yescharacteristic, complemented
160#15689229C2211yescharacteristic, complemented
161#15689222C2211yescharacteristic, complemented
162#15689220C2211yescharacteristic, complemented
163#15689217C2211yescharacteristic, complemented
164#15689214C2211yescharacteristic, complemented
165#15689210C2211yescharacteristic, complemented
166#15689203C2211yescharacteristic, complemented
167#15689198C2211yescharacteristic, complemented
168#15689198C2211yescharacteristic, complemented
169#15689197C2211yescharacteristic, complemented
170#15689197C2211yescharacteristic, complemented
171#15689194C2211yescharacteristic, complemented
172#15689194C2211yescharacteristic, complemented
173C8×C22⋊D47C2211yescharacteristic, complemented
174C8×C22⋊D47C2211yescharacteristic, complemented
175#15689177C2211yescharacteristic, complemented
176#15689173C2211yescharacteristic, complemented
177#15689130C2211yescharacteristic, complemented
178#15689126C2211yescharacteristic, complemented
179#15689122C2211yescharacteristic, complemented
180#15689122C2211yescharacteristic, complemented
181#15689118C2211yescharacteristic, complemented
182#15689116C2211yescharacteristic, complemented
183C2×#13093949C2211yescharacteristic, complemented
184C2×#13093946C2211yescharacteristic, complemented
185#15689087C2211yescharacteristic, complemented
186#15689085C2211yescharacteristic, complemented
187C22⋊C8×D47C2211yescharacteristic, complemented
188C47×#525C2211yescharacteristic
189C2×#121×C47C2211yescharacteristic, complemented
190C47×#484C2211yescharacteristic, complemented
191C47×#482C2211yescharacteristic, complemented
192C47×#482C2211yescharacteristic, complemented
193C47×#481C2211yescharacteristic, complemented
194C47×#466C2211yescharacteristic, complemented
195C47×#466C2211yescharacteristic, complemented
196C47×#465C2211yescharacteristic, complemented
197C47×#465C2211yescharacteristic, complemented
198C47×#450C2211yescharacteristic, complemented
199C47×#449C2211yescharacteristic, complemented
200C47×#449C2211yescharacteristic, complemented
201C47×#447C2211yescharacteristic, complemented
202C2×C22⋊C8×C47C2211yescharacteristic, complemented
203C2×#10625354C2311yescharacteristic
204C2×#10625350—21no—
205C2×#10625350—21no—
206C2×#10625350—21no—
207C2×#10625350—42no—
208C2×#10625350—42no—
209C2×#10625350C2311yescharacteristic
210C2×#10625350C2311yescharacteristic
211C2×#10625350C2311yescharacteristic
212C2×#10625350C2311yescharacteristic
213C2×#10625352—21no—
214C2×#10625352C2311yescharacteristic
215C2×#10625352C2311yescharacteristic
216C2×#10625352C2311yescharacteristic
217#41×D47—42no—
218#41×D47—42no—
219C22×Dic94C2311yescharacteristic
220C22×Dic94C2311yescharacteristic
221C2×Q8×D47C2311yescharacteristic
222C22×D188C2311yescharacteristic
223C22×C22⋊D47—21no—
224C22×C22⋊D47D411yescharacteristic
225C2×D4×D47—21no—
226C2×D4×D47—21no—
227C2×D4×D47C2311yescharacteristic
228C22×C4×D47—21no—
229C22×C4×D47—21no—
230C22×C4×D47C2311yescharacteristic
231#13094053—42no—
232#13094050—42no—
233#13094050—42no—
234#13094048—42no—
235#13094045—42no—
236#13094043—42no—
237C2×Dic188—42no—
238C2×Dic188C2311yescharacteristic
239C2×Dic188C2311yescharacteristic
240C2×Dic188C2311yescharacteristic
241C2×Dic188C2311yescharacteristic
242C2×#10625337C2311yescharacteristic
243C2×#10625337C2311yescharacteristic
244C2×#10625325—42no—
245C2×#10625325C2311yescharacteristic
246C2×#10625325C2311yescharacteristic
247C2×#10625325C2311yescharacteristic
248C2×#10625325C2311yescharacteristic
249C2×#10625335C2311yescharacteristic
250C2×#10625335C2311yescharacteristic
251C2×#10625335C2311yescharacteristic
252C2×#10625335C2311yescharacteristic
253C2×#10625335C2311yescharacteristic
254C2×#10625335C2311yescharacteristic
255C2×#10625334C2311yescharacteristic
256C2×#10625334C2311yescharacteristic
257C2×#10625334C2311yescharacteristic
258C2×#10625334C2311yescharacteristic
259C2×#10625329C2311yescharacteristic
260C2×#10625329C2311yescharacteristic
261C2×#10625324C2311yescharacteristic
262C2×#10625324C2311yescharacteristic
263C2×C8×D47C2311yescharacteristic
264C2×C8×D47C2311yescharacteristic
265#13094023—21no—
266#13094022C2311yescharacteristic
267#13094020—21no—
268#13094020C2311yescharacteristic
269#13094019—21no—
270#13094019—21no—
271#13094017—21no—
272#13094017—21no—
273#13094017—21no—
274#13094017—21no—
275#13094015C2311yescharacteristic
276#13094015C2311yescharacteristic
277#13094014—21no—
278#13094014—21no—
279#13094013C2311yescharacteristic
280#13094011C2311yescharacteristic
281#13094011C2311yescharacteristic
282#13094011C2311yescharacteristic
283#13094010—21no—
284#13094010—21no—
285#13094010—21no—
286#13094010—21no—
287#13094009—21no—
288#13094009—21no—
289#13094008—21no—
290#13094008—21no—
291#13094008—21no—
292#13094007—21no—
293#13094007—21no—
294#13094006—21no—
295#13094006—21no—
296#13094006—21no—
297#13094006—21no—
298#13094005—21no—
299#13094005—21no—
300#13094005—21no—
301#13094005—21no—
302#13094004C2311yescharacteristic
303#13094004C2311yescharacteristic
304#13094004C2311yescharacteristic
305#13094004C2311yescharacteristic
306#13094003—21no—
307#13094003—21no—
308#13094003C2311yescharacteristic
309#13094003C2311yescharacteristic
310#13094003C2311yescharacteristic
311#13094003C2311yescharacteristic
312#13094002—21no—
313#13094002—21no—
314#13094001—21no—
315#13094001—21no—
316#13094001—21no—
317#13094001—21no—
318#13093999—21no—
319#13093999C2311yescharacteristic
320#13093999C2311yescharacteristic
321#13093997—21no—
322#13093997—21no—
323#13093997—21no—
324#13093997—21no—
325#13093996—21no—
326#13093996—21no—
327#13093996—21no—
328#13093996—21no—
329#13093996—21no—
330#13093996—21no—
331#13093996—21no—
332#13093996—21no—
333#13093996—21no—
334#13093996—21no—
335#13093995—21no—
336#13093995C2311yescharacteristic
337#13093995C2311yescharacteristic
338#13093994—21no—
339#13093994—21no—
340#13093994—21no—
341#13093993—21no—
342#13093993—21no—
343#13093992—21no—
344#13093992—21no—
345#13093992—21no—
346#13093992—21no—
347#13093989C2311yescharacteristic
348#13093989C2311yescharacteristic
349#13093989C2311yescharacteristic
350#13093989C2311yescharacteristic
351C4×D188—21no—
352C4×D188—21no—
353D4×Dic47—21no—
354D4×Dic47—21no—
355D4×Dic47—21no—
356D4×Dic47—21no—
357D4×Dic47—21no—
358D4×Dic47—21no—
359D4×Dic47—21no—
360D4×Dic47—21no—
361D4×Dic47—21no—
362D4×Dic47C2311yescharacteristic
363D4×Dic47C2311yescharacteristic
364#13093986—21no—
365#13093986C2311yescharacteristic
366#13093986C2311yescharacteristic
367C4×C22⋊D47—21no—
368C4×C22⋊D47—21no—
369C4×C22⋊D47D411yescharacteristic
370C4×C22⋊D47D411yescharacteristic
371C4×C22⋊D47D411yescharacteristic
372C4×C22⋊D47D411yescharacteristic
373C4×C22⋊D47C2311yescharacteristic
374C4×C22⋊D47C2311yescharacteristic
375C4×C22⋊D47C2311yescharacteristic
376C4×C22⋊D47C2311yescharacteristic
377(C22⋊D47)⋊C4—21no—
378(C22⋊D47)⋊C4—21no—
379(C22⋊D47)⋊C4—21no—
380(C22⋊D47)⋊C4—21no—
381(C22⋊D47)⋊C4—21no—
382(C22⋊D47)⋊C4—21no—
383#13093983—21no—
384#13093983—21no—
385#13093982C2311yescharacteristic
386#13093982C2311yescharacteristic
387#13093981—21no—
388#13093980—21no—
389#13093980—21no—
390C2×C4⋊Dic47C2311yescharacteristic
391C2×Dic47⋊C4—21no—
392C2×Dic47⋊C4D411yescharacteristic
393C4⋊C4×D47—21no—
394C2×C22⋊Dic47—21no—
395C2×C22⋊Dic47—21no—
396C2×C22⋊Dic47—21no—
397C2×C22⋊Dic47D411yescharacteristic
398C2×(C2×D47)⋊C4D411yescharacteristic
399C22⋊C4×D47—21no—
400C22⋊C4×D47—21no—
401C2×C4×Dic47C2311yescharacteristic
402C42×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#13093948C2311yescharacteristic
416#13093948C2311yescharacteristic
417#13093947C2311yescharacteristic
418#13093947C2311yescharacteristic
419#13093947C2311yescharacteristic
420#13093947C2311yescharacteristic
421#13093947C2311yescharacteristic
422#13093947C2311yescharacteristic
423#13093947C2311yescharacteristic
424#13093947C2311yescharacteristic
425#13093946C2311yescharacteristic
426#13093946C2311yescharacteristic
427#13093946C2311yescharacteristic
428#13093946C2311yescharacteristic
429#13093945C2311yescharacteristic
430#13093945C2311yescharacteristic
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
447C2×#41×C47C2311yescharacteristic
448C22×D4×C47—21no—
449C22×D4×C47C2311yescharacteristic
450C23×C4×C47C2311yescharacteristic
451C2×SD16×C47C2311yescharacteristic
452C2×SD16×C47C2311yescharacteristic
453C2×D8×C47C2311yescharacteristic
454C2×D8×C47C2311yescharacteristic
455C22×C8×C47C2311yescharacteristic
456C22×C8×C47C2311yescharacteristic
457#123×C47—21no—
458C22⋊Q8×C47C2311yescharacteristic
459C22⋊Q8×C47C2311yescharacteristic
460#121×C47—21no—
461#121×C47—21no—
462#121×C47C2311yescharacteristic
463#121×C47C2311yescharacteristic
464#121×C47C2311yescharacteristic
465#121×C47C2311yescharacteristic
466#121×C47C2311yescharacteristic
467#121×C47C2311yescharacteristic
468#120×C47—21no—
469C4×D4×C47—21no—
470C4×D4×C47—21no—
471#117×C47C2311yescharacteristic
472C2×C4⋊C4×C47C2311yescharacteristic
473C2×C22⋊C4×C47—21no—
474#107×C47C2311yescharacteristic
475#107×C47C2311yescharacteristic
476#106×C47C2311yescharacteristic
477#106×C47C2311yescharacteristic
478#103×C47C2311yescharacteristic
479#103×C47C2311yescharacteristic
480#102×C47C2311yescharacteristic
481#102×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
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×D47C2×D411yescharacteristic
495#41×C47—41no—
496#41×C47—41no—
497C2×Q8×C47C2411yescharacteristic
498C2×D4×C47—21no—
499C2×D4×C47—21no—
500C2×D4×C47—21no—
501C2×D4×C47—21no—
502C2×D4×C47—21no—
503C2×D4×C47—21no—
504C2×D4×C47—21no—
505C2×D4×C47—21no—
506C2×D4×C47—41no—
507C2×D4×C47—41no—
508C2×D4×C47—44no—
509C2×D4×C47C2411yescharacteristic
510C2×D4×C47C2411yescharacteristic
511C2×D4×C47C2411yescharacteristic
512C22×C4×C47—21no—
513C22×C4×C47—21no—
514C22×C4×C47—41no—
515C22×C4×C47—41no—
516C22×C4×C47C2×D411yescharacteristic
517C22×C4×C47C2×D411yescharacteristic
518C22×C4×C47C2×D411yescharacteristic
519C22×C4×C47C2411yescharacteristic
520C22×C4×C47C2411yescharacteristic
521C22×C4×C47C2411yescharacteristic
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—42no—
535C2×C22⋊D47—44no—
536C2×C22⋊D47C2×D411yescharacteristic
537C2×C22⋊D47C2×D411yescharacteristic
538C2×C22⋊D47C2×D411yescharacteristic
539C2×C22⋊D47C2×D411yescharacteristic
540C22×Dic47—21no—
541C22×Dic47—21no—
542C22×Dic47—21no—
543C22×Dic47—21no—
544C22×Dic47—21no—
545C22×Dic47—21no—
546C22×Dic47—21no—
547C22×Dic47—21no—
548C22×Dic47C2×D411yescharacteristic
549C22×Dic47C2×D411yescharacteristic
550C22×Dic47C2×D411yescharacteristic
551#10625354—22no—
552#10625354—41no—
553Q8×D47—22no—
554Q8×D47—41no—
555#10625352—22no—
556#10625352—41no—
557#10625352—41no—
558#10625352—41no—
559#10625352—41no—
560#10625352—41no—
561#10625352—44no—
562D4×D47—22no—
563D4×D47—41no—
564D4×D47—44no—
565D4×D47—44no—
566#10625350—22no—
567#10625350—22no—
568#10625350—22no—
569#10625350—22no—
570#10625350—41no—
571#10625350—41no—
572#10625350—41no—
573#10625350—41no—
574#10625350—44no—
575#10625350—44no—
576#10625350—44no—
577C2×D188—22no—
578C2×D188—21no—
579C2×D188—21no—
580C2×D188—21no—
581C2×D188—21no—
582C2×D188—41no—
583C2×D188C2411yescharacteristic
584C2×D188C2411yescharacteristic
585C2×C4×D47—21no—
586C2×C4×D47—21no—
587C2×C4×D47—21no—
588C2×C4×D47—21no—
589C2×C4×D47—21no—
590C2×C4×D47—21no—
591C2×C4×D47—21no—
592C2×C4×D47—21no—
593C2×C4×D47—41no—
594C2×C4×D47—41no—
595C2×C4×D47—44no—
596C2×C4×D47—44no—
597C2×C4×D47C2×D411yescharacteristic
598C2×C4×D47C2×D411yescharacteristic
599C2×C4×D47C2411yescharacteristic
600C2×C4×D47C2411yescharacteristic
601C2×Dic94—22no—
602C2×Dic94—21no—
603C2×Dic94—21no—
604C2×Dic94—21no—
605C2×Dic94—41no—
606C2×Dic94—41no—
607C2×Dic94—41no—
608C2×Dic94C2411yescharacteristic
609C2×Dic94C2411yescharacteristic
610C2×Dic94C2411yescharacteristic
611C2×Dic94C2411yescharacteristic
612SD16×C47—41no—
613SD16×C47—41no—
614D8×C47—41no—
615D8×C47—41no—
616C2×C8×C47—41no—
617C2×C8×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×C47C2411yescharacteristic
626C4⋊C4×C47C2411yescharacteristic
627C4⋊C4×C47C2411yescharacteristic
628C4⋊C4×C47C2411yescharacteristic
629C22⋊C4×C47—21no—
630C22⋊C4×C47—21no—
631C22⋊C4×C47—21no—
632C22⋊C4×C47—21no—
633C22⋊C4×C47—21no—
634C22⋊C4×C47—21no—
635C22⋊C4×C47—21no—
636C22⋊C4×C47—21no—
637C22⋊C4×C47—21no—
638C42×C47—21no—
639C22⋊Dic47—21no—
640C22⋊Dic47—21no—
641C22⋊Dic47—21no—
642C22⋊Dic47—21no—
643C22⋊Dic47—21no—
644C22⋊Dic47—21no—
645C22⋊Dic47—21no—
646C22⋊Dic47—21no—
647C22⋊Dic47—21no—
648C22⋊Dic47—21no—
649C22⋊Dic47—21no—
650C22⋊Dic47—21no—
651C22⋊Dic47—21no—
652C22⋊Dic47—21no—
653C22⋊Dic47C2×D411yescharacteristic
654C22⋊Dic47C2×D411yescharacteristic
655C22⋊Dic47C2×D411yescharacteristic
656C22⋊Dic47C2×D411yescharacteristic
657#10625337—41no—
658#10625337—41no—
659#10625335—22no—
660#10625335—22no—
661#10625335—41no—
662#10625335—41no—
663#10625335—41no—
664#10625335—41no—
665#10625334—22no—
666#10625334—22no—
667#10625334—41no—
668#10625334—41no—
669(C2×D47)⋊C4—21no—
670(C2×D47)⋊C4—21no—
671(C2×D47)⋊C4—21no—
672(C2×D47)⋊C4—21no—
673(C2×D47)⋊C4—21no—
674(C2×D47)⋊C4—21no—
675(C2×D47)⋊C4—21no—
676(C2×D47)⋊C4—21no—
677(C2×D47)⋊C4—21no—
678(C2×D47)⋊C4—21no—
679(C2×D47)⋊C4—21no—
680(C2×D47)⋊C4—21no—
681(C2×D47)⋊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⋊Dic47—21no—
692C4⋊Dic47C2411yescharacteristic
693C4⋊Dic47C2411yescharacteristic
694Dic47⋊C4—21no—
695Dic47⋊C4—21no—
696Dic47⋊C4—21no—
697Dic47⋊C4—21no—
698Dic47⋊C4—21no—
699Dic47⋊C4—21no—
700Dic47⋊C4—21no—
701Dic47⋊C4—21no—
702Dic47⋊C4—21no—
703Dic47⋊C4—21no—
704Dic47⋊C4—21no—
705Dic47⋊C4—21no—
706Dic47⋊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×Dic47—21no—
716C4×Dic47C2×D411yescharacteristic
717C4×Dic47C2×D411yescharacteristic
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—22no—
728Dic188—41no—
729Dic188—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—22no—
739C23×C47—21no—
740C23×C47—21no—
741C23×C47—21no—
742C23×C47—41no—
743C23×C47—41no—
744C23×C47—42no—
745C23×C47—81no—
746C23×C47—81no—
747C23×C47C22×D411yescharacteristic
748C23×C47C22×D411yescharacteristic
749C23×C47C22×D411yescharacteristic
750C22×D47—21no—
751C22×D47—21no—
752C22×D47—41no—
753C22×D47—41no—
754C22×D47—41no—
755C22×D47—42no—
756C22×D47—42no—
757C22×D47—42no—
758C22×D47—42no—
759C22×D47—81no—
760C22×D47—81no—
761C22×D47C22×D411yescharacteristic
762C22×D47C22×D411yescharacteristic
763Q8×C47—21no—
764Q8×C47—21no—
765D4×C47—21no—
766D4×C47—21no—
767D4×C47—21no—
768D4×C47—21no—
769D4×C47—21no—
770D4×C47—21no—
771D4×C47—42no—
772D4×C47—42no—
773D4×C47—42no—
774D4×C47—42no—
775D4×C47—42no—
776D4×C47—42no—
777D4×C47—81no—
778D4×C47—81no—
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—21no—
790C2×C4×C47—41no—
791C2×C4×C47—41no—
792C2×C4×C47—41no—
793C2×C4×C47—42no—
794C2×C4×C47—42no—
795C2×C4×C47C22×D411yescharacteristic
796C2×C4×C47C22×D411yescharacteristic
797C2×C4×C47C22×D411yescharacteristic
798C2×C4×C47C2511yescharacteristic
799C22⋊D47—24no—
800C22⋊D47—22no—
801C22⋊D47—22no—
802C22⋊D47—41no—
803C22⋊D47—41no—
804C22⋊D47—42no—
805C22⋊D47—42no—
806C22⋊D47—42no—
807C22⋊D47—42no—
808C22⋊D47—42no—
809C22⋊D47—42no—
810C22⋊D47—81no—
811C22⋊D47—81no—
812C22⋊D47—81no—
813C22⋊D47—81no—
814C22⋊D47—81no—
815C2×Dic47—21no—
816C2×Dic47—21no—
817C2×Dic47—21no—
818C2×Dic47—21no—
819C2×Dic47—21no—
820C2×Dic47—21no—
821C2×Dic47—41no—
822C2×Dic47—41no—
823C2×Dic47—41no—
824C2×Dic47—42no—
825C2×Dic47—42no—
826C2×Dic47—81no—
827C2×Dic47—81no—
828C2×Dic47—81no—
829C2×Dic47—81no—
830C2×Dic47—81no—
831C2×Dic47—81no—
832C2×Dic47C22×D411yescharacteristic
833C2×Dic47C22×D411yescharacteristic
834C2×Dic47C22×D411yescharacteristic
835C2×Dic47C22×D411yescharacteristic
836C2×Dic47C22×D411yescharacteristic
837C2×Dic47C22×D411yescharacteristic
838D188—21no—
839D188—21no—
840D188—21no—
841D188—42no—
842D188—42no—
843D188—42no—
844D188—81no—
845D188H(5,𝔽2)12yes—
846C4×D47—24no—
847C4×D47—21no—
848C4×D47—21no—
849C4×D47—21no—
850C4×D47—21no—
851C4×D47—41no—
852C4×D47—41no—
853C4×D47—42no—
854C4×D47—42no—
855C4×D47—42no—
856C4×D47—42no—
857C4×D47—42no—
858C4×D47—42no—
859C4×D47—81no—
860Dic94—21no—
861Dic94—21no—
862Dic94—21no—
863Dic94—21no—
864Dic94—21no—
865Dic94—21no—
866Dic94—21no—
867Dic94—42no—
868Dic94—42no—
869Dic94—81no—
870Dic94H(5,𝔽2)12yes—
871C8×C47—21no—
872C8×C47—21no—
873C8×C47—21no—
874C8×C47—21no—
875C47⋊C8—21no—
876C47⋊C8—21no—
877C47⋊C8—21no—
878C47⋊C8—21no—
879#61606—471nomaximal, Sylow
880C22×C47—21no—
881C22×C47—21no—
882C22×C47—21no—
883C22×C47—21no—
884C22×C47—21no—
885C22×C47—21no—
886C22×C47—21no—
887C22×C47—21no—
888C22×C47—41no—
889C22×C47—41no—
890C22×C47—41no—
891C22×C47—41no—
892C22×C47—41no—
893C22×C47—41no—
894C22×C47—41no—
895C22×C47—41no—
896C22×C47—41no—
897C22×C47—82no—
898C22×C47—162no—
899C22×C47#57512yes—
900C22×C47C23×D411yescharacteristic
901C2×D47—21no—
902C2×D47—21no—
903C2×D47—21no—
904C2×D47—22no—
905C2×D47—21no—
906C2×D47—21no—
907C2×D47—21no—
908C2×D47—41no—
909C2×D47—41no—
910C2×D47—41no—
911C2×D47—41no—
912C2×D47—41no—
913C2×D47—82no—
914C2×D47—84no—
915C2×D47—84no—
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×C47C2×H(5,𝔽2)11yescharacteristic
925C4×C47C2×H(5,𝔽2)11yescharacteristic
926Dic47—21no—
927Dic47—21no—
928Dic47—22no—
929Dic47—21no—
930Dic47—21no—
931Dic47—21no—
932Dic47—21no—
933Dic47—41no—
934Dic47—41no—
935Dic47—41no—
936Dic47—41no—
937Dic47—41no—
938#3505—471no—
939D4×#41—471no—
940#3327—471no—
941#3323—471no—
942#3320—471no—
943#3318—471no—
944#3317—471no—
945#3315—471no—
946#3301—471no—
947#3297—471no—
948#3285—471no—
949#3282—471no—
950#3275—471no—
951#3273—471no—
952#3270—471no—
953#3268—471no—
954#3267—471no—
955#3265—471no—
956#3219—471no—
957#3212—471no—
958#3197—471no—
959#3196—471no—
960#3191—471no—
961#3188D4711yescharacteristic, complemented
962#3111—471no—
963#3102—471no—
964#3006—471no—
965#3005—471no—
966#3002—471no—
967C2×#452—471no—
968#2974—471no—
969C2×C47—22no—
970C2×C47—41no—
971C2×C47—41no—
972C2×C47—81no—
973C2×C47—81no—
974C2×C47—81no—
975C2×C47#348411yescharacteristic
976C2×C47C2×#57511yescharacteristic
977C2×C47#358411yescharacteristic
978D47—41no—
979D47—41no—
980D47—42no—
981D47—81no—
982C22×#41—471no—
983C22×#41—471no—
984C2×#137—471no—
985C2×AGL(1,ℤ/8)—471no—
986C2×AGL(1,ℤ/8)—471no—
987C2×AGL(1,ℤ/8)—471no—
988C2×#135—471no—
989C2×#135—471no—
990C22×Q16—471no—
991C22×SD16—471no—
992#553—471no—
993#553—471no—
994#553—941no—
995#553—941no—
996#552—471no—
997#552—471no—
998#551—941no—
999#551—941no—
1000#550—471no—
1001D4×Q8—471no—
1002#548—471no—
1003#548—471no—
1004#548—471no—
1005#548—471no—
1006#547—471no—
1007#547—941no—
1008#546—471no—
1009#546—471no—
1010#546—471no—
1011#546—471no—
1012#546—941no—
1013#546—941no—
1014D42—471no—
1015D42—941no—
1016#539—941no—
1017#538—941no—
1018#534—941no—
1019#532—471no—
1020#532—941no—
1021#529—471no—
1022#529—471no—
1023#525—471no—
1024#525—471no—
1025#525—471no—
1026#525—941no—
1027#525—941no—
1028#525C2×D4711yescharacteristic
1029C2×C22⋊Q8—471no—
1030C2×#121C2×D4711yescharacteristic, complemented
1031#518—941no—
1032C4×#41—471no—
1033C2×C4×D4—471no—
1034C2×C4×D4—941no—
1035#497—471no—
1036#496—471no—
1037#495—471no—
1038#495—471no—
1039#491—471no—
1040#490—471no—
1041#488—471no—
1042#488—471no—
1043#485—471no—
1044#485—471no—
1045#485—471no—
1046#485—471no—
1047#484—471no—
1048#484C2×D4711yescharacteristic, complemented
1049#482—471no—
1050#482—471no—
1051#482C2×D4711yescharacteristic, complemented
1052#482C2×D4711yescharacteristic, complemented
1053#481—471no—
1054#481C2×D4711yescharacteristic, complemented
1055#479—471no—
1056#479—471no—
1057#478—471no—
1058#478—471no—
1059#470—471no—
1060#470—471no—
1061#470—471no—
1062#469—471no—
1063#468—471no—
1064#468—471no—
1065#468—471no—
1066#468—471no—
1067#467—471no—
1068#466—471no—
1069#466C2×D4711yescharacteristic, complemented
1070#466C2×D4711yescharacteristic, complemented
1071#465—471no—
1072#465—471no—
1073#465C2×D4711yescharacteristic, complemented
1074#465C2×D4711yescharacteristic, complemented
1075#464—471no—
1076#464—471no—
1077#464—471no—
1078#464—471no—
1079#463—471no—
1080#463—471no—
1081#463—471no—
1082#463—471no—
1083#462—471no—
1084#461—471no—
1085#460—471no—
1086#459—471no—
1087#452—471no—
1088#452—471no—
1089#452—471no—
1090#452—471no—
1091#452—471no—
1092#452—471no—
1093#452—471no—
1094#452—471no—
1095#452—471no—
1096#452—471no—
1097#452—471no—
1098#452—471no—
1099#452—471no—
1100#452—471no—
1101#451—471no—
1102#451—471no—
1103#450—471no—
1104#450C2×D4711yescharacteristic, complemented
1105#449—471no—
1106#449—471no—
1107#449—471no—
1108#449—471no—
1109#449—471no—
1110#449—471no—
1111#449—471no—
1112#449—471no—
1113#449C2×D4711yescharacteristic, complemented
1114#449C2×D4711yescharacteristic, complemented
1115#448—471no—
1116#448—471no—
1117#448—471no—
1118#448—471no—
1119#447—471no—
1120#447—471no—
1121#447—471no—
1122#447C2×D4711yescharacteristic, complemented
1123#442—471no—
1124#441—471no—
1125#440—471no—
1126#440—471no—
1127C4×Q16—471no—
1128C4×SD16—471no—
1129C4×SD16—471no—
1130C4×D8—471no—
1131#436—471no—
1132#436—471no—
1133#435—471no—
1134#435—471no—
1135#435—471no—
1136#435—471no—
1137C8×D4—471no—
1138C8×D4—471no—
1139#432—471no—
1140#431—471no—
1141#419—471no—
1142#418—471no—
1143#417—471no—
1144#417—471no—
1145#416—471no—
1146#416—471no—
1147C2×#103—471no—
1148C2×#102—471no—
1149#407—471no—
1150#407—471no—
1151C2×C22⋊C8—471no—
1152C2×C22⋊C8C2×D4711yescharacteristic, complemented
1153C47#6160611yescharacteristic, complemented, Sylow
1154C2×#41—471no—
1155C2×#41—471no—
1156C2×#41—471no—
1157C2×#41—471no—
1158C2×#41—471no—
1159C2×#41—471no—
1160C2×#41—471no—
1161C2×#41—471no—
1162C2×#41—941no—
1163C2×#41—941no—
1164C2×#41—941no—
1165C2×#41—941no—
1166C2×#41—1882no—
1167C2×#41—1882no—
1168C2×#41—1882no—
1169C2×#41—1882no—
1170C2×#41C22×D4711yescharacteristic
1171C22×Q8—471no—
1172C22×Q8—471no—
1173C22×Q8—471no—
1174C22×D4—21no—
1175C22×D4—471no—
1176C22×D4—471no—
1177C22×D4—471no—
1178C22×D4—941no—
1179C22×D4—941no—
1180C22×D4—941no—
1181C22×D4C22×D4711yescharacteristic
1182C23×C4—471no—
1183C23×C4—941no—
1184C23×C4—941no—
1185C23×C4C22×D4711yescharacteristic
1186#137—1882no—
1187AGL(1,ℤ/8)—1882no—
1188AGL(1,ℤ/8)—1882no—
1189AGL(1,ℤ/8)—1882no—
1190#135—1882no—
1191#135—1882no—
1192C2×Q16—471no—
1193C2×Q16—471no—
1194C2×Q16—471no—
1195C2×Q16—471no—
1196C2×Q16—471no—
1197C2×Q16—471no—
1198C2×Q16—1882no—
1199C2×SD16—471no—
1200C2×SD16—471no—
1201C2×SD16—471no—
1202C2×SD16—471no—
1203C2×SD16—471no—
1204C2×SD16—471no—
1205C2×SD16—471no—
1206C2×SD16—471no—
1207C2×SD16—471no—
1208C2×SD16—471no—
1209C2×SD16—1882no—
1210C2×SD16C22×D4711yescharacteristic
1211C2×SD16C22×D4711yescharacteristic
1212C2×D8—471no—
1213C2×D8—471no—
1214C2×D8—471no—
1215C2×D8—471no—
1216C2×D8C22×D4711yescharacteristic
1217C2×D8C22×D4711yescharacteristic
1218C2×M16—471no—
1219C2×M16—471no—
1220C2×M16—471no—
1221C2×M16—471no—
1222C22×C8—471no—
1223C22×C8—471no—
1224C22×C8C22×D4711yescharacteristic
1225C22×C8C22×D4711yescharacteristic
1226C4⋊Q8—471no—
1227C4⋊Q8—941no—
1228#127—471no—
1229#127—941no—
1230#126—941no—
1231#126—941no—
1232#126—941no—
1233#126—941no—
1234#126—941no—
1235#126—941no—
1236#125—471no—
1237#125—471no—
1238#125—941no—
1239#125—941no—
1240#124—471no—
1241#124—471no—
1242#124—471no—
1243#124—471no—
1244#124—941no—
1245#124—941no—
1246#124—941no—
1247#124—941no—
1248#123—21no—
1249#123—941no—
1250#123—941no—
1251#123—941no—
1252#123—941no—
1253#123—941no—
1254#123—941no—
1255#123—941no—
1256#123—941no—
1257#123—941no—
1258#123—941no—
1259#123—941no—
1260#123—941no—
1261#123—941no—
1262#123—941no—
1263#123—941no—
1264C22⋊Q8—471no—
1265C22⋊Q8—471no—
1266C22⋊Q8—471no—
1267C22⋊Q8—471no—
1268C22⋊Q8—471no—
1269C22⋊Q8—471no—
1270C22⋊Q8—471no—
1271C22⋊Q8—471no—
1272C22⋊Q8—941no—
1273C22⋊Q8—941no—
1274C22⋊Q8—941no—
1275C22⋊Q8—941no—
1276C22⋊Q8—941no—
1277C22⋊Q8—941no—
1278C22⋊Q8—941no—
1279C22⋊Q8—941no—
1280C22⋊Q8C22×D4711yescharacteristic
1281C22⋊Q8C22×D4711yescharacteristic
1282#121—21no—
1283#121—21no—
1284#121—471no—
1285#121—471no—
1286#121—471no—
1287#121—471no—
1288#121—941no—
1289#121—941no—
1290#121—941no—
1291#121—941no—
1292#121—941no—
1293#121—941no—
1294#121—941no—
1295#121—941no—
1296#121—941no—
1297#121—941no—
1298#121—941no—
1299#121—941no—
1300#121—941no—
1301#121—941no—
1302#121—941no—
1303#121—941no—
1304#121C22×D4711yescharacteristic
1305#121C22×D4711yescharacteristic
1306#121C22×D4711yescharacteristic
1307#121C22×D4711yescharacteristic
1308#121C22×D4711yescharacteristic
1309#121C22×D4711yescharacteristic
1310#120—21no—
1311#120—941no—
1312#120—941no—
1313#120—941no—
1314#120—941no—
1315#120—941no—
1316#120—941no—
1317#120—941no—
1318#120—941no—
1319#120—941no—
1320C4×Q8—471no—
1321C4×Q8—471no—
1322C4×Q8—471no—
1323C4×Q8—471no—
1324C4×D4—21no—
1325C4×D4—21no—
1326C4×D4—471no—
1327C4×D4—471no—
1328C4×D4—471no—
1329C4×D4—471no—
1330C4×D4—471no—
1331C4×D4—471no—
1332C4×D4—471no—
1333C4×D4—471no—
1334C4×D4—471no—
1335C4×D4—471no—
1336C4×D4—471no—
1337C4×D4—471no—
1338C4×D4—941no—
1339C4×D4—941no—
1340C4×D4—941no—
1341C4×D4—941no—
1342C4×D4—941no—
1343C4×D4—941no—
1344C4×D4—941no—
1345C4×D4—941no—
1346C4×D4—941no—
1347C4×D4—941no—
1348C4×D4—941no—
1349C4×D4—941no—
1350C4×D4—941no—
1351C4×D4—941no—
1352C4×D4—941no—
1353C4×D4—941no—
1354C4×D4—941no—
1355C4×D4—941no—
1356C4×D4—941no—
1357C4×D4—941no—
1358#117—471no—
1359#117—471no—
1360#117—941no—
1361#117—941no—
1362#117—941no—
1363#117—941no—
1364#117—941no—
1365#117C22×D4711yescharacteristic
1366C2×C4⋊C4—471no—
1367C2×C4⋊C4—471no—
1368C2×C4⋊C4—941no—
1369C2×C4⋊C4—941no—
1370C2×C4⋊C4C22×D4711yescharacteristic
1371C2×C22⋊C4—21no—
1372C2×C22⋊C4—471no—
1373C2×C22⋊C4—471no—
1374C2×C22⋊C4—941no—
1375C2×C22⋊C4—941no—
1376C2×C22⋊C4—941no—
1377C2×C22⋊C4—941no—
1378C2×C22⋊C4—941no—
1379C2×C42—471no—
1380C2×C42—941no—
1381#107—471no—
1382#107—471no—
1383#107C22×D4711yescharacteristic
1384#107C22×D4711yescharacteristic
1385#106—471no—
1386#106—471no—
1387#106C22×D4711yescharacteristic
1388#106C22×D4711yescharacteristic
1389C4⋊C8—471no—
1390C4⋊C8—471no—
1391C4⋊C8—471no—
1392C4⋊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#103—471no—
1404#103—471no—
1405#103—471no—
1406#103—471no—
1407#103C22×D4711yescharacteristic
1408#103C22×D4711yescharacteristic
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#102C22×D4711yescharacteristic
1420#102C22×D4711yescharacteristic
1421#102C22×D4711yescharacteristic
1422#102C22×D4711yescharacteristic
1423#102C22×D4711yescharacteristic
1424#102C22×D4711yescharacteristic
1425C22⋊C8—471no—
1426C22⋊C8—471no—
1427C22⋊C8—471no—
1428C22⋊C8—471no—
1429C22⋊C8—471no—
1430C22⋊C8—471no—
1431C22⋊C8—471no—
1432C22⋊C8—471no—
1433C22⋊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—471no—
1443C24—941no—
1444C24—941no—
1445C24D4×D4711yescharacteristic
1446#41—41no—
1447#41—41no—
1448#41—942no—
1449#41—942no—
1450#41—942no—
1451#41—942no—
1452#41—942no—
1453#41—942no—
1454#41—1881no—
1455#41—1881no—
1456#41—1881no—
1457#41—1881no—
1458#41—1884no—
1459#41—1884no—
1460#41—1884no—
1461#41—1881no—
1462#41—1881no—
1463#41—1881no—
1464#41—1881no—
1465#41—1881no—
1466#41—1881no—
1467#41—1884no—
1468C2×Q8—471no—
1469C2×Q8—471no—
1470C2×Q8—471no—
1471C2×Q8—471no—
1472C2×Q8—941no—
1473C2×Q8—942no—
1474C2×Q8—941no—
1475C2×Q8—941no—
1476C2×Q8—942no—
1477C2×Q8—1881no—
1478C2×Q8—1881no—
1479C2×Q8—1881no—
1480C2×Q8—1881no—
1481C2×Q8C23×D4711yescharacteristic
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—41no—
1491C2×D4—41no—
1492C2×D4—44no—
1493C2×D4—471no—
1494C2×D4—471no—
1495C2×D4—471no—
1496C2×D4—471no—
1497C2×D4—471no—
1498C2×D4—471no—
1499C2×D4—942no—
1500C2×D4—941no—
1501C2×D4—941no—
1502C2×D4—941no—
1503C2×D4—941no—
1504C2×D4—941no—
1505C2×D4—941no—
1506C2×D4—942no—
1507C2×D4—941no—
1508C2×D4—941no—
1509C2×D4—941no—
1510C2×D4—941no—
1511C2×D4—941no—
1512C2×D4—941no—
1513C2×D4—941no—
1514C2×D4—941no—
1515C2×D4—941no—
1516C2×D4—941no—
1517C2×D4—1881no—
1518C2×D4—1881no—
1519C2×D4—1884no—
1520C2×D4—1884no—
1521C2×D4—1882no—
1522C2×D4—1884no—
1523C2×D4C23×D4711yescharacteristic
1524C2×D4C23×D4711yescharacteristic
1525C2×D4C23×D4711yescharacteristic
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—41no—
1529C22×C4—41no—
1530C22×C4—471no—
1531C22×C4—471no—
1532C22×C4—471no—
1533C22×C4—471no—
1534C22×C4—471no—
1535C22×C4—471no—
1536C22×C4—471no—
1537C22×C4—941no—
1538C22×C4—941no—
1539C22×C4—941no—
1540C22×C4—941no—
1541C22×C4—941no—
1542C22×C4—941no—
1543C22×C4—941no—
1544C22×C4—941no—
1545C22×C4—941no—
1546C22×C4—941no—
1547C22×C4—941no—
1548C22×C4—941no—
1549C22×C4—941no—
1550C22×C4—941no—
1551C22×C4—941no—
1552C22×C4—941no—
1553C22×C4—1881no—
1554C22×C4—1881no—
1555C22×C4—1884no—
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—1881no—
1566Q16—1881no—
1567Q16—1881no—
1568Q16—1881no—
1569SD16—41no—
1570SD16—41no—
1571SD16—942no—
1572SD16—942no—
1573SD16—942no—
1574SD16—942no—
1575SD16—1881no—
1576SD16—1881no—
1577SD16—1881no—
1578SD16—1881no—
1579SD16—1881no—
1580SD16—1881no—
1581D8—41no—
1582D8—41no—
1583D8—942no—
1584D8—942no—
1585D8—1881no—
1586D8—1881no—
1587M16—1881no—
1588M16—1881no—
1589M16—1881no—
1590M16—1881no—
1591C2×C8—41no—
1592C2×C8—41no—
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—471no—
1607C4⋊C4—471no—
1608C4⋊C4—471no—
1609C4⋊C4—471no—
1610C4⋊C4—471no—
1611C4⋊C4—471no—
1612C4⋊C4—941no—
1613C4⋊C4—941no—
1614C4⋊C4—941no—
1615C4⋊C4—941no—
1616C4⋊C4—941no—
1617C4⋊C4—941no—
1618C4⋊C4—941no—
1619C4⋊C4—941no—
1620C4⋊C4—941no—
1621C4⋊C4—941no—
1622C4⋊C4—941no—
1623C4⋊C4—941no—
1624C4⋊C4—941no—
1625C4⋊C4—941no—
1626C4⋊C4—941no—
1627C4⋊C4—941no—
1628C4⋊C4—941no—
1629C4⋊C4—941no—
1630C4⋊C4—941no—
1631C4⋊C4C23×D4711yescharacteristic
1632C4⋊C4C23×D4711yescharacteristic
1633C4⋊C4C23×D4711yescharacteristic
1634C4⋊C4C23×D4711yescharacteristic
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—471no—
1645C22⋊C4—471no—
1646C22⋊C4—471no—
1647C22⋊C4—471no—
1648C22⋊C4—471no—
1649C22⋊C4—471no—
1650C22⋊C4—471no—
1651C22⋊C4—471no—
1652C22⋊C4—941no—
1653C22⋊C4—941no—
1654C22⋊C4—941no—
1655C22⋊C4—941no—
1656C22⋊C4—941no—
1657C22⋊C4—941no—
1658C22⋊C4—941no—
1659C22⋊C4—941no—
1660C22⋊C4—941no—
1661C22⋊C4—941no—
1662C22⋊C4—941no—
1663C22⋊C4—941no—
1664C22⋊C4—941no—
1665C22⋊C4—941no—
1666C22⋊C4—941no—
1667C22⋊C4—941no—
1668C22⋊C4—941no—
1669C22⋊C4—941no—
1670C22⋊C4—941no—
1671C22⋊C4—941no—
1672C22⋊C4—941no—
1673C22⋊C4—941no—
1674C22⋊C4—941no—
1675C22⋊C4—941no—
1676C22⋊C4—941no—
1677C22⋊C4—941no—
1678C42—21no—
1679C42—471no—
1680C42—471no—
1681C42—471no—
1682C42—471no—
1683C42—941no—
1684C42—941no—
1685C42—941no—
1686C42—941no—
1687C42—941no—
1688C42—941no—
1689C23—22no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—41no—
1694C23—41no—
1695C23—42no—
1696C23—81no—
1697C23—81no—
1698C23—471no—
1699C23—471no—
1700C23—941no—
1701C23—941no—
1702C23—3761no—
1703C23—3761no—
1704C23—1881no—
1705C23—1881no—
1706C23—1881no—
1707C23—1882no—
1708C23—1882no—
1709C23—1882no—
1710C23—1882no—
1711C23C2×D4×D4711yescharacteristic
1712C23C2×D4×D4711yescharacteristic
1713C23C2×D4×D4711yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—472no—
1717Q8—941no—
1718Q8—941no—
1719Q8—941no—
1720Q8—941no—
1721Q8—941no—
1722Q8—941no—
1723Q8—941no—
1724Q8—3761no—
1725Q8—1882no—
1726Q8—1882no—
1727D4—21no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—42no—
1734D4—42no—
1735D4—42no—
1736D4—42no—
1737D4—42no—
1738D4—42no—
1739D4—81no—
1740D4—81no—
1741D4—472no—
1742D4—944no—
1743D4—942no—
1744D4—942no—
1745D4—941no—
1746D4—941no—
1747D4—941no—
1748D4—3761no—
1749D4—3761no—
1750D4—3761no—
1751D4—3761no—
1752D4—3761no—
1753D4—3761no—
1754D4—1882no—
1755D4—1882no—
1756D4—1882no—
1757D4—1881no—
1758D4—1881no—
1759D4—1882no—
1760D4—1882no—
1761D4—1882no—
1762D4—1882no—
1763D4—1882no—
1764D4—1882no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—41no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—42no—
1780C2×C4—42no—
1781C2×C4—471no—
1782C2×C4—471no—
1783C2×C4—471no—
1784C2×C4—471no—
1785C2×C4—471no—
1786C2×C4—471no—
1787C2×C4—944no—
1788C2×C4—941no—
1789C2×C4—941no—
1790C2×C4—941no—
1791C2×C4—941no—
1792C2×C4—941no—
1793C2×C4—941no—
1794C2×C4—941no—
1795C2×C4—941no—
1796C2×C4—941no—
1797C2×C4—941no—
1798C2×C4—3761no—
1799C2×C4—3761no—
1800C2×C4—3761no—
1801C2×C4—3761no—
1802C2×C4—3761no—
1803C2×C4—3761no—
1804C2×C4—3761no—
1805C2×C4—1881no—
1806C2×C4—1881no—
1807C2×C4—1882no—
1808C2×C4—1882no—
1809C2×C4—1882no—
1810C2×C4—1882no—
1811C2×C4—1882no—
1812C2×C4—1882no—
1813C2×C4—1881no—
1814C2×C4—1881no—
1815C2×C4—1881no—
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—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—82no—
1848C22—162no—
1849C22—941no—
1850C22—941no—
1851C22—941no—
1852C22—941no—
1853C22—941no—
1854C22—942no—
1855C22—941no—
1856C22—3764no—
1857C22—3762no—
1858C22—3764no—
1859C22—1881no—
1860C22—1881no—
1861C22—1881no—
1862C22—1881no—
1863C22—1881no—
1864C22#1568991912yes—
1865C22C22×D4×D4711yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—941no—
1875C4—941no—
1876C4—941no—
1877C4—941no—
1878C4—941no—
1879C4—941no—
1880C4—942no—
1881C4—1881no—
1882C4—1881no—
1883C4—1881no—
1884C4—1881no—
1885C4—1881no—
1886C4H(5,𝔽2)×D4711yescharacteristic
1887C4H(5,𝔽2)×D4711yescharacteristic
1888C2—22no—
1889C2—41no—
1890C2—41no—
1891C2—81no—
1892C2—81no—
1893C2—81no—
1894C2—3761no—
1895C2—1881no—
1896C2—1881no—
1897C2—1882no—
1898C2#2025702011yescharacteristic
1899C2C2×#1568991911yescharacteristic
1900C2#2025815711yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3188C2
socleC22×C47C23×D4
hypercenter#3188D47
hypocenterC47#61606
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3188

Complements

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

NH ≅ G/Ntype
1. #20257222C2semidirect
2. #20256871C2semidirect
3. #20255659C2semidirect
4. #20255607C2semidirect
5. #20255565C2semidirect
6. #20255535C2semidirect
7. #20255517C2semidirect
8. #20255487C2semidirect
9. #20255296C2semidirect
10. #20255244C2semidirect
11. #20255126C2semidirect
12. #20255092C2semidirect
13. #20255023C2semidirect
14. #20254999C2semidirect
15. #20254955C2semidirect
16. #20254926C2semidirect
17. #20254911C2semidirect
18. #20254880C2semidirect
19. #20254423C2semidirect
20. #20254361C2semidirect
21. #20254228C2semidirect
22. #20254214C2semidirect
23. #20254179C2semidirect
24. #20253492C2semidirect
25. #20253401C2semidirect
26. #20252638C2semidirect
27. #20252626C2semidirect
28. #20252603C2semidirect
29. C2×#15689287C2semidirect
30. #20252419C2semidirect
31. C47×#3188C2semidirect
33. C2×#41×D47C22semidirect
34. C2×#13094053C22semidirect
35. C2×#13094050C22semidirect
36. C2×#13094050C22semidirect
37. C2×#13094048C22semidirect
38. C2×#13094045C22semidirect
39. C2×#13094043C22semidirect
40. C22×Dic188C22semidirect
41. C22×#10625325C22semidirect
43. #15689825C22semidirect
46. #15689808C22semidirect
47. #15689808C22semidirect
51. #15689786C22semidirect
54. #15689779C22semidirect
55. #15689779C22semidirect
59. #15689767C22semidirect
60. #15689767C22semidirect
62. #15689764C22semidirect
64. #15689757C22semidirect
70. #15689669C22semidirect
71. #15689654C22semidirect
72. #15689654C22semidirect
73. #15689635C22semidirect
74. #15689633C22semidirect
75. #15689633C22semidirect
78. C2×#13094003C22semidirect
80. #15689591C22semidirect
83. #15689514C22semidirect
84. #15689511C22semidirect
85. #15689506C22semidirect
86. #15689504C22semidirect
87. #15689490C22semidirect
88. #15689486C22semidirect
89. #15689479C22semidirect
90. #15689476C22semidirect
91. #15689467C22semidirect
92. #15689466C22semidirect
93. #15689464C22semidirect
94. #15689464C22semidirect
95. #15689456C22semidirect
96. #15689450C22semidirect
97. #15689449C22semidirect
98. #15689439C22semidirect
99. #15689433C22semidirect
100. #15689429C22semidirect
101. #15689426C22semidirect
102. #15689422C22semidirect
103. #15689382C22semidirect
104. #15689379C22semidirect
105. #15689379C22semidirect
106. #15689375C22semidirect
107. #15689370C22semidirect
108. #15689368C22semidirect
109. #15689367C22semidirect
110. #15689367C22semidirect
111. #15689365C22semidirect
112. #15689358C22semidirect
113. #15689353C22semidirect
114. #15689351C22semidirect
115. #15689348C22semidirect
116. #15689344C22semidirect
117. #15689344C22semidirect
118. #15689344C22semidirect
119. #15689340C22semidirect
120. #15689337C22semidirect
121. #15689337C22semidirect
122. #15689336C22semidirect
123. #15689332C22semidirect
124. #15689326C22semidirect
125. #15689322C22semidirect
126. #15689316C22semidirect
127. #15689288C22semidirect
128. #15689287C22semidirect
129. #15689287C22semidirect
130. #15689287C22semidirect
131. #15689287C22semidirect
132. #15689287C22semidirect
133. #15689287C22semidirect
134. #15689287C22semidirect
135. #15689287C22semidirect
136. #15689286C22semidirect
137. #15689286C22semidirect
138. #15689286C22semidirect
139. #15689285C22semidirect
140. #15689285C22semidirect
141. #15689280C22semidirect
142. #15689278C22semidirect
143. #15689275C22semidirect
144. #15689269C22semidirect
145. #15689269C22semidirect
146. #15689267C22semidirect
149. #15689266C22semidirect
150. #15689266C22semidirect
151. #15689265C22semidirect
152. #15689261C22semidirect
153. #15689261C22semidirect
154. #15689261C22semidirect
155. #15689260C22semidirect
156. #15689256C22semidirect
157. #15689256C22semidirect
158. #15689255C22semidirect
159. #15689232C22semidirect
160. #15689229C22semidirect
161. #15689222C22semidirect
162. #15689220C22semidirect
163. #15689217C22semidirect
164. #15689214C22semidirect
165. #15689210C22semidirect
166. #15689203C22semidirect
167. #15689198C22semidirect
168. #15689198C22semidirect
169. #15689197C22semidirect
170. #15689197C22semidirect
171. #15689194C22semidirect
172. #15689194C22semidirect
173. C8×C22⋊D47C22semidirect
174. C8×C22⋊D47C22semidirect
175. #15689177C22semidirect
176. #15689173C22semidirect
177. #15689130C22semidirect
178. #15689126C22semidirect
179. #15689122C22semidirect
180. #15689122C22semidirect
181. #15689118C22semidirect
182. #15689116C22semidirect
183. C2×#13093949C22semidirect
184. C2×#13093946C22semidirect
185. #15689087C22semidirect
186. #15689085C22semidirect
187. C22⋊C8×D47C22semidirect
189. C2×#121×C47C22semidirect
190. C47×#484C22semidirect
191. C47×#482C22semidirect
192. C47×#482C22semidirect
193. C47×#481C22semidirect
194. C47×#466C22semidirect
195. C47×#466C22semidirect
196. C47×#465C22semidirect
197. C47×#465C22semidirect
198. C47×#450C22semidirect
199. C47×#449C22semidirect
200. C47×#449C22semidirect
201. C47×#447C22semidirect
202. C2×C22⋊C8×C47C22semidirect
961. #3188D47semidirect
1030. C2×#121C2×D47semidirect
1048. #484C2×D47semidirect
1051. #482C2×D47semidirect
1052. #482C2×D47semidirect
1054. #481C2×D47semidirect
1069. #466C2×D47semidirect
1070. #466C2×D47semidirect
1073. #465C2×D47semidirect
1074. #465C2×D47semidirect
1104. #450C2×D47semidirect
1113. #449C2×D47semidirect
1114. #449C2×D47semidirect
1122. #447C2×D47semidirect
1152. C2×C22⋊C8C2×D47semidirect
1153. C47#61606semidirect

Maximal subgroups

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

subgroupindex
#202572222
#202568712
#202556592
#202556072
#202555652
#202555352
#202555172
#202554872
#202552962
#202552442
#202551262
#202550922
#202550232
#202549992
#202549552
#202549262
#202549112
#202548802
#202544232
#202543612
#202542282
#202542142
#202541792
#202534922
#202534012
#202526382
#202526262
#202526032
C2×#156892872
#202524192
C47×#31882
#6160647