Finite Group Databasebeta

← #29466073

Subgroups — #29466073

Order 15104.

2230 conjugacy classes of subgroups.

The subgroup lattice has 1898 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437812C211yesmaximal, characteristic, complemented
2#21437724C211yesmaximal, characteristic, complemented
3#21436341C211yesmaximal, characteristic, complemented
4#21436331C211yesmaximal, characteristic, complemented
5#21436327C211yesmaximal, characteristic, complemented
6#21436325C211yesmaximal, characteristic, complemented
7#21436315C211yesmaximal, characteristic, complemented
8#21436309C211yesmaximal, characteristic, complemented
9#21436301C211yesmaximal, characteristic, complemented
10#21436291C211yesmaximal, characteristic, complemented
11#21436258C211yesmaximal, characteristic, complemented
12#21436257C211yesmaximal, characteristic, complemented
13#21436232C211yesmaximal, characteristic, complemented
14#21436134C211yesmaximal, characteristic, complemented
15#21436133C211yesmaximal, characteristic, complemented
16#21436116C211yesmaximal, characteristic, complemented
17#21436113C211yesmaximal, characteristic, complemented
18#21434451C211yesmaximal, characteristic, complemented
19#21434053C211yesmaximal, characteristic, complemented
20#21434024C211yesmaximal, characteristic, complemented
21#21433926C211yesmaximal, characteristic, complemented
22#21433775C211yesmaximal, characteristic, complemented
23#21433703C211yesmaximal, characteristic, complemented
24#21433630C211yesmaximal, characteristic, complemented
25#21433395C211yesmaximal, characteristic, complemented
26#21433320C211yesmaximal, characteristic, complemented
27#21432925C211yesmaximal, characteristic, complemented
28#21432794C211yesmaximal, characteristic, complemented
29#21432617C211yesmaximal, characteristic, complemented
30#418×D59C211yesmaximal, characteristic, complemented
31C59×#3318C211yesmaximal, characteristic, complemented
32C2×#14273772C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C2×#14273751C2211yescharacteristic
35C2×#14273751C2211yescharacteristic, complemented
36C2×#14273746C2211yescharacteristic, complemented
37C2×#14273733C2211yescharacteristic, complemented
38C2×M16×D59C2211yescharacteristic, complemented
39#16838122C2211yescharacteristic, complemented
40#16838120C2211yescharacteristic, complemented
41#16838119—21no—
42#16838117C2211yescharacteristic, complemented
43#16838116—21no—
44#16838116C2211yescharacteristic, complemented
45#16838101—21no—
46#16838099C2211yescharacteristic, complemented
47#16838090C2211yescharacteristic, complemented
48#16838089—21no—
49#16838087C2211yescharacteristic, complemented
50#16838049C2211yescharacteristic
51#16838048C2211yescharacteristic
52#16838047C2211yescharacteristic
53#16838046C2211yescharacteristic
54#16838041—21no—
55#16838039—21no—
56#16838037C2211yescharacteristic
57#16838036C2211yescharacteristic
58D4×C22⋊D59—21no—
59D4×C22⋊D59C2211yescharacteristic
60#16838034—21no—
61#16838032C2211yescharacteristic, complemented
62#16837988—21no—
63#16837984—21no—
64#16837981C2211yescharacteristic, complemented
65#16837968C2211yescharacteristic
66#16837965C2211yescharacteristic
67#16837962—21no—
68#16837960—21no—
69#16837935—21no—
70#16837934—21no—
71#16837912C2211yescharacteristic
72#16837912C2211yescharacteristic, complemented
73#16837911C2211yescharacteristic
74C2×#14273695—21no—
75#120×D59—21no—
76#16837883C2211yescharacteristic, complemented
77#16837881C2211yescharacteristic, complemented
78#16837874C2211yescharacteristic
79#117×D59C2211yescharacteristic, complemented
80#16837765C2211yescharacteristic, complemented
81#16837762C2211yescharacteristic, complemented
82#16837760C2211yescharacteristic, complemented
83#16837759C2211yescharacteristic, complemented
84#16837755C2211yescharacteristic, complemented
85#16837748C2211yescharacteristic, complemented
86#16837747C2211yescharacteristic, complemented
87#16837746C2211yescharacteristic, complemented
88#16837745C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837743C2211yescharacteristic, complemented
91#16837728C2211yescharacteristic, complemented
92#16837727C2211yescharacteristic, complemented
93#16837725C2211yescharacteristic, complemented
94#16837725C2211yescharacteristic, complemented
95#16837724C2211yescharacteristic, complemented
96#16837723C2211yescharacteristic, complemented
97#16837723C2211yescharacteristic, complemented
98#16837722C2211yescharacteristic, complemented
99#16837715C2211yescharacteristic, complemented
100#16837714C2211yescharacteristic, complemented
101#16837704C2211yescharacteristic, complemented
102#16837701C2211yescharacteristic, complemented
103#16837699C2211yescharacteristic, complemented
104#16837693C2211yescharacteristic, complemented
105#16837690C2211yescharacteristic, complemented
106#16837682C2211yescharacteristic, complemented
107#16837681C2211yescharacteristic, complemented
108#16837661C2211yescharacteristic, complemented
109#16837660C2211yescharacteristic, complemented
110#16837653C2211yescharacteristic, complemented
111#16837652C2211yescharacteristic, complemented
112#16837652C2211yescharacteristic, complemented
113#16837649C2211yescharacteristic, complemented
114#16837647C2211yescharacteristic, complemented
115#16837647C2211yescharacteristic, complemented
116#16837646C2211yescharacteristic, complemented
117#16837646C2211yescharacteristic, complemented
118#16837646C2211yescharacteristic, complemented
119#16837637C2211yescharacteristic, complemented
120#16837631C2211yescharacteristic, complemented
121#16837630C2211yescharacteristic, complemented
122#16837625C2211yescharacteristic, complemented
123#16837623C2211yescharacteristic, complemented
124#16837617C2211yescharacteristic, complemented
125#16837615C2211yescharacteristic, complemented
126#16837601C2211yescharacteristic, complemented
127#16837599C2211yescharacteristic, complemented
128#16837595C2211yescharacteristic, complemented
129#16837566C2211yescharacteristic, complemented
130#16837565C2211yescharacteristic, complemented
131#16837555C2211yescharacteristic, complemented
132#16837554C2211yescharacteristic, complemented
133#16837554C2211yescharacteristic, complemented
134#16837554C2211yescharacteristic, complemented
135#16837553C2211yescharacteristic, complemented
136#16837553C2211yescharacteristic, complemented
137#16837545C2211yescharacteristic, complemented
138#16837544C2211yescharacteristic, complemented
139#16837535C2211yescharacteristic, complemented
140#16837534C2211yescharacteristic, complemented
141#16837534C2211yescharacteristic, complemented
142#16837534C2211yescharacteristic, complemented
143#16837511C2211yescharacteristic, complemented
144#16837504C2211yescharacteristic, complemented
145#16837499C2211yescharacteristic, complemented
146#16837489C2211yescharacteristic, complemented
147C4×#11745670C2211yescharacteristic, complemented
148D8×Dic59C2211yescharacteristic, complemented
149C4×#11745669C2211yescharacteristic, complemented
150#16837480C2211yescharacteristic, complemented
151#16837479C2211yescharacteristic, complemented
152#16837477C2211yescharacteristic, complemented
153#16837477C2211yescharacteristic, complemented
154#16837475C2211yescharacteristic, complemented
155#16837473C2211yescharacteristic, complemented
156#16837471C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#16837441C2211yescharacteristic, complemented
159#16837437C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837408C2211yescharacteristic, complemented
162#16837407C2211yescharacteristic, complemented
163#16837407C2211yescharacteristic, complemented
164#16837406C2211yescharacteristic, complemented
165#16837405C2211yescharacteristic
166#16837405C2211yescharacteristic, complemented
167#16837405C2211yescharacteristic, complemented
168#16837405C2211yescharacteristic, complemented
169#16837405C2211yescharacteristic, complemented
170#16837405C2211yescharacteristic, complemented
171#16837405C2211yescharacteristic, complemented
172#16837401C2211yescharacteristic, complemented
173#16837400C2211yescharacteristic, complemented
174#16837400C2211yescharacteristic, complemented
175#16837400C2211yescharacteristic, complemented
176#16837399C2211yescharacteristic, complemented
177#16837395C2211yescharacteristic, complemented
178#16837395C2211yescharacteristic, complemented
179#16837395C2211yescharacteristic, complemented
180#102×D59C2211yescharacteristic
181#102×D59C2211yescharacteristic
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic, complemented
187#16837359C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic, complemented
189D42×C59C2211yescharacteristic
190C59×#490C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#481C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#466C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#447C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203C24×D59—21no—
204#14273772—24no—
205#14273772—42no—
206C2×#11745685C2311yescharacteristic
207C2×#11745685C2311yescharacteristic
208C2×#11745687—21no—
209C2×#11745687C2311yescharacteristic
210C2×#11745687C2311yescharacteristic
211C2×#11745687C2311yescharacteristic
212C22×D236C2311yescharacteristic
213C22×C22⋊D59—21no—
214C22×C22⋊D59—21no—
215C22×C22⋊D59—21no—
216C22×C22⋊D59—21no—
217C2×D4×D59—24no—
218C2×D4×D59—21no—
219C2×D4×D59—21no—
220C2×D4×D59—21no—
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—42no—
224C2×D4×D59C2311yescharacteristic
225C2×D4×D59C2311yescharacteristic
226C2×D4×D59C2311yescharacteristic
227C2×D4×D59C2311yescharacteristic
228C2×D4×D59C2311yescharacteristic
229C22×C4×D59C2311yescharacteristic
230#14273751—24no—
231#14273751—42no—
232#14273746—42no—
233C2×Dic236C2311yescharacteristic, complemented
234C2×#11745660C2311yescharacteristic
235C2×#11745660C2311yescharacteristic
236C2×#11745670C2311yescharacteristic
237C2×#11745670C2311yescharacteristic
238C2×#11745670C2311yescharacteristic, complemented
239C2×#11745670C2311yescharacteristic, complemented
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242#14273733—42no—
243C2×#11745664C2311yescharacteristic
244C2×#11745664C2311yescharacteristic, complemented
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249C2×#11745659C2311yescharacteristic, complemented
250M16×D59—42no—
251C2×C8×D59C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253C2×C8×D59C2311yescharacteristic, complemented
254#14273727C2311yescharacteristic, complemented
255#14273726—21no—
256#14273726C2311yescharacteristic, complemented
257#14273723—21no—
258#14273723C2311yescharacteristic
259#14273722—21no—
260#14273722—21no—
261#14273721—21no—
262#14273720—21no—
263#14273720—21no—
264#14273720—21no—
265#14273720—21no—
266#14273718—21no—
267#14273718C2311yescharacteristic, complemented
268#14273717—21no—
269#14273717—21no—
270#14273715C2311yescharacteristic
271#14273714—21no—
272#14273714—21no—
273#14273714C2311yescharacteristic
274#14273713—21no—
275#14273713—21no—
276#14273713—21no—
277#14273713—21no—
278#14273713—21no—
279#14273712—21no—
280#14273712—21no—
281#14273712D411yescharacteristic
282#14273711—21no—
283#14273710—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709D411yescharacteristic
288#14273708—21no—
289#14273708—21no—
290#14273707—21no—
291#14273707C2311yescharacteristic
292#14273707C2311yescharacteristic
293#14273707C2311yescharacteristic, complemented
294#14273706C2311yescharacteristic
295#14273706C2311yescharacteristic
296#14273706C2311yescharacteristic, complemented
297#14273705—21no—
298#14273705D411yescharacteristic
299#14273704—21no—
300#14273704D411yescharacteristic
301#14273702C2311yescharacteristic
302#14273701—21no—
303#14273701—21no—
304#14273701C2311yescharacteristic
305#14273700—21no—
306#14273700—21no—
307#14273700—21no—
308#14273700D411yescharacteristic
309#14273699—21no—
310#14273699—21no—
311#14273699—21no—
312#14273699—21no—
313#14273699—21no—
314#14273699—21no—
315#14273699D411yescharacteristic
316#14273698—21no—
317#14273698—21no—
318#14273698—21no—
319#14273698—21no—
320#14273698C2311yescharacteristic
321#14273698C2311yescharacteristic
322#14273698C2311yescharacteristic
323#14273698C2311yescharacteristic, complemented
324#14273697—21no—
325#14273697—21no—
326#14273697—21no—
327#14273697D411yescharacteristic
328#14273696—21no—
329#14273696—21no—
330#14273695—21no—
331#14273695—21no—
332#14273695—21no—
333#14273695—21no—
334#14273695—21no—
335#14273695—21no—
336#14273695—21no—
337#14273695—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695D411yescharacteristic
342C4×Dic118—21no—
343C4×Dic118C2311yescharacteristic, complemented
344#14273692—21no—
345#14273692—21no—
346#14273692C2311yescharacteristic, complemented
347C4×D236C2311yescharacteristic
348C4×D236C2311yescharacteristic
349D4×Dic59—21no—
350D4×Dic59—21no—
351D4×Dic59C2311yescharacteristic
352D4×Dic59C2311yescharacteristic, complemented
353#14273689—21no—
354#14273689C2311yescharacteristic
355C4×C22⋊D59—21no—
356C4×C22⋊D59—21no—
357C4×C22⋊D59—21no—
358C4×C22⋊D59—21no—
359C4×C22⋊D59C2311yescharacteristic
360C4×C22⋊D59C2311yescharacteristic
361(C22⋊D59)⋊C4—21no—
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4—21no—
365(C22⋊D59)⋊C4—21no—
366#14273686—21no—
367#14273686—21no—
368#14273686C2311yescharacteristic
369#14273686C2311yescharacteristic, complemented
370#14273685—21no—
371#14273685C2311yescharacteristic
372#14273685C2311yescharacteristic
373#14273685C2311yescharacteristic
374#14273685C2311yescharacteristic
375#14273685C2311yescharacteristic, complemented
376#14273684—21no—
377#14273684C2311yescharacteristic
378#14273683—21no—
379#14273683—21no—
380#14273683—21no—
381C2×Dic59⋊C4—21no—
382C4⋊C4×D59C2311yescharacteristic
383C4⋊C4×D59C2311yescharacteristic
384C4⋊C4×D59C2311yescharacteristic, complemented
385C2×C22⋊Dic59—21no—
386C2×(C2×D59)⋊C4—21no—
387C2×(C2×D59)⋊C4—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C42×D59—21no—
393#14273661C2311yescharacteristic, complemented
394#14273660C2311yescharacteristic, complemented
395#14273660C2311yescharacteristic, complemented
396#14273660C2311yescharacteristic, complemented
397#14273660C2311yescharacteristic, complemented
398#14273659C2311yescharacteristic, complemented
399#14273659C2311yescharacteristic, complemented
400#14273658C2311yescharacteristic, complemented
401#14273658C2311yescharacteristic, complemented
402C4⋊(C59⋊C8)C2311yescharacteristic, complemented
403Dic59⋊C8C2311yescharacteristic, complemented
404Dic59⋊C8C2311yescharacteristic, complemented
405#14273652C2311yescharacteristic, complemented
406#14273652C2311yescharacteristic, complemented
407#14273652C2311yescharacteristic, complemented
408#14273652C2311yescharacteristic, complemented
409#14273650C2311yescharacteristic, complemented
410#14273650C2311yescharacteristic, complemented
411#14273650C2311yescharacteristic, complemented
412#14273650C2311yescharacteristic, complemented
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic, complemented
426#14273648C2311yescharacteristic, complemented
427#14273648C2311yescharacteristic, complemented
428#14273648C2311yescharacteristic, complemented
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic, complemented
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic, complemented
440(C2×D59)⋊C8C2311yescharacteristic, complemented
441#14273637C2311yescharacteristic, complemented
442C4×C59⋊C8C2311yescharacteristic, complemented
443C8×Dic59C2311yescharacteristic, complemented
444C22×D4×C59—21no—
445C22×D4×C59C2311yescharacteristic
446C22×D4×C59C2311yescharacteristic
447C2×D8×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic, complemented
450C2×M16×C59C2311yescharacteristic
451C22×C8×C59C2311yescharacteristic, complemented
452#127×C59C2311yescharacteristic
453#126×C59—21no—
454#125×C59C2311yescharacteristic, complemented
455#123×C59—21no—
456#121×C59—21no—
457#121×C59—21no—
458#121×C59C2311yescharacteristic
459#121×C59C2311yescharacteristic
460#121×C59C2311yescharacteristic
461#121×C59C2311yescharacteristic, complemented
462#120×C59—21no—
463#120×C59—21no—
464C4×D4×C59—21no—
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic, complemented
468#117×C59C2311yescharacteristic
469C2×C4⋊C4×C59C2311yescharacteristic, complemented
470#107×C59C2311yescharacteristic, complemented
471#106×C59C2311yescharacteristic, complemented
472#106×C59C2311yescharacteristic, complemented
473C4⋊C8×C59C2311yescharacteristic, complemented
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic, complemented
481#102×C59C2311yescharacteristic, complemented
482#102×C59C2311yescharacteristic, complemented
483#102×C59C2311yescharacteristic, complemented
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic, complemented
486#97×C59C2311yescharacteristic, complemented
487C24×C59—21no—
488C24×C59—21no—
489C23×D59—21no—
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—44no—
496C23×D59—82no—
497C23×D59—82no—
498C23×D59C2×D411yescharacteristic
499C2×D4×C59—22no—
500C2×D4×C59—22no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—41no—
510C2×D4×C59—41no—
511C2×D4×C59—82no—
512C2×D4×C59C2×D411yescharacteristic
513C2×D4×C59C2411yescharacteristic
514C2×D4×C59C2411yescharacteristic
515C2×D4×C59C2411yescharacteristic
516C2×D4×C59C2411yescharacteristic
517C22×C4×C59—21no—
518C22×C4×C59—21no—
519C22×C4×C59—21no—
520C22×C4×C59C2411yescharacteristic
521C22×C4×C59C2411yescharacteristic
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—21no—
537C2×C22⋊D59—21no—
538C2×C22⋊D59—44no—
539C2×C22⋊D59—44no—
540C2×C22⋊D59—44no—
541C2×C22⋊D59—82no—
542C2×C22⋊D59C2×D411yescharacteristic
543C2×C22⋊D59C2×D411yescharacteristic
544C2×C22⋊D59C2×D411yescharacteristic
545C2×C22⋊D59C2×D411yescharacteristic
546C22×Dic59—21no—
547C22×Dic59—21no—
548C22×Dic59—21no—
549C22×Dic59—21no—
550C22×Dic59—21no—
551C22×Dic59C2×D411yescharacteristic
552#11745687—22no—
553#11745687—22no—
554#11745687—22no—
555#11745687—22no—
556#11745687—22no—
557#11745687—41no—
558#11745687—44no—
559D4×D59—22no—
560D4×D59—22no—
561D4×D59—22no—
562D4×D59—22no—
563D4×D59—22no—
564D4×D59—22no—
565D4×D59—41no—
566D4×D59—41no—
567D4×D59—41no—
568D4×D59—44no—
569D4×D59—44no—
570D4×D59—44no—
571D4×D59—82no—
572D4×D59—82no—
573D4×D59#4114yes—
574#11745685—22no—
575#11745685—22no—
576#11745685—22no—
577#11745685—41no—
578C2×D236—22no—
579C2×D236—21no—
580C2×D236—21no—
581C2×D236—41no—
582C2×D236C2×D411yescharacteristic
583C2×D236C2×D411yescharacteristic
584C2×D236C2411yescharacteristic
585C2×D236C2411yescharacteristic
586C2×C4×D59—22no—
587C2×C4×D59—22no—
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59C2×D411yescharacteristic
595C2×C4×D59C2×D411yescharacteristic
596C2×C4×D59C2411yescharacteristic
597C2×C4×D59C2411yescharacteristic
598C2×C4×D59C2411yescharacteristic
599C2×Dic118—21no—
600C2×Dic118—21no—
601C2×Dic118C2×D411yescharacteristic
602C2×Dic118C2411yescharacteristic
603C2×Dic118C2411yescharacteristic
604D8×C59—22no—
605D8×C59—41no—
606D8×C59—41no—
607M16×C59—41no—
608C2×C8×C59—41no—
609C2×C8×C59C2411yescharacteristic
610C2×C8×C59C2411yescharacteristic
611C2×C8×C59C2411yescharacteristic
612C2×C8×C59C2411yescharacteristic
613C4⋊C4×C59—21no—
614C4⋊C4×C59—21no—
615C4⋊C4×C59—21no—
616C4⋊C4×C59C2×D411yescharacteristic
617C4⋊C4×C59C2411yescharacteristic
618C4⋊C4×C59C2411yescharacteristic
619C4⋊C4×C59C2411yescharacteristic
620C4⋊C4×C59C2411yescharacteristic
621C22⋊C4×C59—21no—
622C22⋊C4×C59—21no—
623C22⋊C4×C59—21no—
624C22⋊C4×C59—21no—
625C22⋊C4×C59—21no—
626C22⋊C4×C59—21no—
627C22⋊C4×C59—21no—
628C22⋊C4×C59C2×D411yescharacteristic
629C22⋊C4×C59C2×D411yescharacteristic
630C42×C59—21no—
631C42×C59C2411yescharacteristic
632C22⋊Dic59—21no—
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635C22⋊Dic59—21no—
636C22⋊Dic59—21no—
637C22⋊Dic59—21no—
638C22⋊Dic59—21no—
639C22⋊Dic59—21no—
640C22⋊Dic59—21no—
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59C2×D411yescharacteristic
646C22⋊Dic59C2×D411yescharacteristic
647#11745670—22no—
648#11745670—41no—
649#11745670—41no—
650#11745670—41no—
651#11745669—22no—
652#11745669—41no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4C2×D411yescharacteristic
668(C2×D59)⋊C4C2×D411yescharacteristic
669(C2×D59)⋊C4C2×D411yescharacteristic
670(C2×D59)⋊C4C2×D411yescharacteristic
671(C2×D59)⋊C4C2×D411yescharacteristic
672(C2×D59)⋊C4C2×D411yescharacteristic
673C4⋊Dic59—21no—
674C4⋊Dic59—21no—
675C4⋊Dic59—21no—
676C4⋊Dic59—21no—
677C4⋊Dic59—21no—
678C4⋊Dic59C2×D411yescharacteristic
679C4⋊Dic59C2411yescharacteristic
680C4⋊Dic59C2411yescharacteristic
681C4⋊Dic59C2411yescharacteristic
682C4⋊Dic59C2411yescharacteristic
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4C2×D411yescharacteristic
694Dic59⋊C4C2×D411yescharacteristic
695Dic59⋊C4C2×D411yescharacteristic
696Dic59⋊C4C2×D411yescharacteristic
697C4×Dic59—21no—
698C4×Dic59—21no—
699C4×Dic59—21no—
700C4×Dic59—21no—
701C4×Dic59—21no—
702C4×Dic59—21no—
703C4×Dic59—21no—
704C4×Dic59—21no—
705C4×Dic59—21no—
706C4×Dic59C2411yescharacteristic
707#11745664—41no—
708#11745664—41no—
709C2×C59⋊C8C2411yescharacteristic
710C2×C59⋊C8C2411yescharacteristic
711C2×C59⋊C8C2411yescharacteristic
712C2×C59⋊C8C2411yescharacteristic
713Dic236—41no—
714#11745660—22no—
715#11745660—41no—
716#11745659—22no—
717#11745659—22no—
718#11745659—41no—
719#11745659—41no—
720#11745659—41no—
721C8×D59—22no—
722C8×D59—22no—
723C8×D59—41no—
724C23×C59—21no—
725C23×C59—21no—
726C23×C59—21no—
727C23×C59—21no—
728C23×C59—42no—
729C23×C59—42no—
730C23×C59—42no—
731C23×C59—81no—
732C23×C59—81no—
733C23×C59—81no—
734C23×C59C22×D411yescharacteristic
735C23×C59C22×D411yescharacteristic
736C22×D59—21no—
737C22×D59—22no—
738C22×D59—24no—
739C22×D59—21no—
740C22×D59—41no—
741C22×D59—41no—
742C22×D59—42no—
743C22×D59—42no—
744C22×D59—42no—
745C22×D59—42no—
746C22×D59—42no—
747C22×D59—42no—
748C22×D59—42no—
749C22×D59—42no—
750C22×D59—81no—
751C22×D59—81no—
752C22×D59—81no—
753C22×D59—81no—
754C22×D59—81no—
755C22×D59—81no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—816no—
760C22×D59C22×D411yescharacteristic
761C22×D59C22×D411yescharacteristic
762C22×D59C22×D411yescharacteristic
763D4×C59—21no—
764D4×C59—21no—
765D4×C59—21no—
766D4×C59—21no—
767D4×C59—21no—
768D4×C59—21no—
769D4×C59—21no—
770D4×C59—41no—
771D4×C59—42no—
772D4×C59—42no—
773D4×C59—42no—
774D4×C59—81no—
775D4×C59—81no—
776D4×C59—81no—
777D4×C59—81no—
778D4×C59—81no—
779D4×C59C2×#4112yes—
780C2×C4×C59—21no—
781C2×C4×C59—21no—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—21no—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—81no—
789C2×C4×C59—81no—
790C2×C4×C59—81no—
791C2×C4×C59C22×D411yescharacteristic
792C2×C4×C59C22×D411yescharacteristic
793C2×C4×C59C22×D411yescharacteristic
794C2×C4×C59C22×D411yescharacteristic
795C2×C4×C59C2511yescharacteristic
796C22⋊D59—22no—
797C22⋊D59—22no—
798C22⋊D59—24no—
799C22⋊D59—41no—
800C22⋊D59—41no—
801C22⋊D59—42no—
802C22⋊D59—42no—
803C22⋊D59—42no—
804C22⋊D59—42no—
805C22⋊D59—42no—
806C22⋊D59—42no—
807C22⋊D59—42no—
808C22⋊D59—42no—
809C22⋊D59—42no—
810C22⋊D59—81no—
811C22⋊D59—81no—
812C22⋊D59—81no—
813C22⋊D59—81no—
814C22⋊D59—81no—
815C22⋊D59—81no—
816C2×Dic59—22no—
817C2×Dic59—21no—
818C2×Dic59—21no—
819C2×Dic59—21no—
820C2×Dic59—21no—
821C2×Dic59—21no—
822C2×Dic59—21no—
823C2×Dic59—42no—
824C2×Dic59—42no—
825C2×Dic59—42no—
826C2×Dic59—81no—
827C2×Dic59—81no—
828C2×Dic59C22×D411yescharacteristic
829C2×Dic59C22×D411yescharacteristic
830C2×Dic59C22×D411yescharacteristic
831C2×Dic59C22×D411yescharacteristic
832C2×Dic59C22×D411yescharacteristic
833D236—22no—
834D236—21no—
835D236—21no—
836D236—21no—
837D236—41no—
838D236—42no—
839D236—81no—
840D236C2×#4112yes—
841C4×D59—22no—
842C4×D59—21no—
843C4×D59—21no—
844C4×D59—21no—
845C4×D59—21no—
846C4×D59—22no—
847C4×D59—42no—
848C4×D59—81no—
849C4×D59—81no—
850C4×D59—81no—
851C4×D59—81no—
852C4×D59—81no—
853C4×D59C2×#4112yes—
854C4×D59H(5,𝔽2)12yes—
855Dic118—22no—
856Dic118—21no—
857Dic118—21no—
858Dic118—21no—
859Dic118—21no—
860Dic118—81no—
861Dic118—81no—
862C8×C59—21no—
863C8×C59—21no—
864C8×C59—21no—
865C8×C59—21no—
866C59⋊C8—21no—
867C59⋊C8—21no—
868C59⋊C8—21no—
869C59⋊C8—21no—
870#61175—591nomaximal, Sylow
871C22×C59—21no—
872C22×C59—21no—
873C22×C59—21no—
874C22×C59—21no—
875C22×C59—21no—
876C22×C59—22no—
877C22×C59—21no—
878C22×C59—41no—
879C22×C59—41no—
880C22×C59—41no—
881C22×C59—41no—
882C22×C59—41no—
883C22×C59—41no—
884C22×C59—41no—
885C22×C59—41no—
886C22×C59—41no—
887C22×C59—41no—
888C22×C59—41no—
889C22×C59—84no—
890C22×C59—162no—
891C22×C59C23×D411yescharacteristic
892C2×D59—21no—
893C2×D59—21no—
894C2×D59—21no—
895C2×D59—21no—
896C2×D59—21no—
897C2×D59—21no—
898C2×D59—21no—
899C2×D59—21no—
900C2×D59—22no—
901C2×D59—44no—
902C2×D59—41no—
903C2×D59—41no—
904C2×D59—41no—
905C2×D59—41no—
906C2×D59—41no—
907C2×D59—84no—
908C2×D59—84no—
909C2×D59—84no—
910C2×D59—84no—
911C2×D59—84no—
912C2×D59—162no—
913C2×D59#54612yes—
914C4×C59—21no—
915C4×C59—21no—
916C4×C59—21no—
917C4×C59—21no—
918C4×C59—41no—
919C4×C59—41no—
920C4×C59—41no—
921C4×C59—41no—
922C4×C59C22×#4111yescharacteristic
923C4×C59C2×H(5,𝔽2)11yescharacteristic
924Dic59—21no—
925Dic59—21no—
926Dic59—21no—
927Dic59—21no—
928Dic59—41no—
929Dic59—41no—
930Dic59—41no—
931Dic59—41no—
932Dic59—41no—
933Dic59—41no—
934Dic59#54612yes—
935#3493—591no—
936#3484—591no—
937#3325—591no—
938#3325—591no—
939#3324—591no—
940#3324—591no—
941#3323—591no—
942#3323—591no—
943#3322—591no—
944#3322—591no—
945#3319—591no—
946#3319—591no—
947#3318—591no—
948#3318D5911yescharacteristic, complemented
949#3311—591no—
950#3311—591no—
951#3310—591no—
952#3310—591no—
953#3136—591no—
954#3096—591no—
955#3093—591no—
956#3081—591no—
957#3062—591no—
958#3054—591no—
959#3045—591no—
960#3012—591no—
961#3003—591no—
962#2946—591no—
963#2930—591no—
964#2897—591no—
965C2×#418—591no—
966C2×C59—41no—
967C2×C59—42no—
968C2×C59—41no—
969C2×C59—81no—
970C2×C59—81no—
971C2×C59—81no—
972C2×C59C2×#54611yescharacteristic
973C2×C59#358511yescharacteristic
974C2×C59#358511yescharacteristic
975D59—22no—
976D59—41no—
977D59—41no—
978D59—42no—
979D59—81no—
980C2×H(5,𝔽2)—591no—
981C23×D4—591no—
982C2×AGL(1,ℤ/8)—591no—
983C2×AGL(1,ℤ/8)—591no—
984C2×#135—591no—
985C2×#131—591no—
986C22×M16—591no—
987#556—591no—
988#556—591no—
989#556—1181no—
990#555—591no—
991#555—591no—
992#555—1181no—
993#553—591no—
994#553—1181no—
995#553C2×D5911yescharacteristic, complemented
996#552—591no—
997#552—591no—
998#552—1181no—
999#546—591no—
1000#546—591no—
1001#546—591no—
1002#546—591no—
1003#546—1181no—
1004#546—1181no—
1005D42—591no—
1006D42—591no—
1007D42—591no—
1008D42—1181no—
1009D42—1181no—
1010D42C2×D5911yescharacteristic
1011#544—591no—
1012#538—1181no—
1013#538—1181no—
1014#537—591no—
1015#535—591no—
1016#535—591no—
1017#534—1181no—
1018#534—1181no—
1019#529—1181no—
1020#529—1181no—
1021#525—591no—
1022#525—591no—
1023#525—591no—
1024C2×#120—1181no—
1025C2×#120—1181no—
1026#520—591no—
1027#520—591no—
1028#518—591no—
1029C2×#117—591no—
1030#490—591no—
1031#490C2×D5911yescharacteristic, complemented
1032#489—591no—
1033#489—591no—
1034#488—591no—
1035#488—591no—
1036#486—591no—
1037#486—591no—
1038#485—591no—
1039#485—591no—
1040#485—591no—
1041#485—591no—
1042#482—591no—
1043#482—591no—
1044#482—591no—
1045#482—591no—
1046#482—591no—
1047#482—591no—
1048#482—591no—
1049#482C2×D5911yescharacteristic, complemented
1050#481—591no—
1051#481C2×D5911yescharacteristic, complemented
1052#480—591no—
1053#480—591no—
1054#478—591no—
1055#478—591no—
1056#478—591no—
1057#478C2×D5911yescharacteristic, complemented
1058#476—591no—
1059#476—591no—
1060#474—591no—
1061#474—591no—
1062#470—591no—
1063#470—591no—
1064#469—591no—
1065#469—591no—
1066#469—591no—
1067#469C2×D5911yescharacteristic, complemented
1068#468—591no—
1069#468—591no—
1070#468—591no—
1071#468—591no—
1072#468—591no—
1073#468—591no—
1074#466—591no—
1075#466C2×D5911yescharacteristic, complemented
1076#465—591no—
1077#465—591no—
1078#464—591no—
1079#464—591no—
1080#463—591no—
1081#463—591no—
1082#460—591no—
1083#460—591no—
1084#459—591no—
1085#459C2×D5911yescharacteristic, complemented
1086#452—591no—
1087#452—591no—
1088#450—591no—
1089#450—591no—
1090#450—591no—
1091#450—591no—
1092#450—591no—
1093#450—591no—
1094#449—591no—
1095#449—591no—
1096#447—591no—
1097#447—591no—
1098#447—591no—
1099#447—591no—
1100#447C2×D5911yescharacteristic, complemented
1101#447C2×D5911yescharacteristic, complemented
1102#442—591no—
1103#442C2×D5911yescharacteristic, complemented
1104#440—591no—
1105#440—591no—
1106C4×SD16—591no—
1107C4×SD16—591no—
1108C4×D8—591no—
1109C4×D8—591no—
1110#436—591no—
1111#436—591no—
1112#436—591no—
1113#436—591no—
1114#435—591no—
1115#435—591no—
1116#435—591no—
1117#435C2×D5911yescharacteristic, complemented
1118#428—591no—
1119#428—591no—
1120#427—591no—
1121#424—591no—
1122#418—591no—
1123#418—591no—
1124#418—591no—
1125#418—591no—
1126#418—591no—
1127#418—591no—
1128#418—591no—
1129#418—591no—
1130#418—591no—
1131#418—591no—
1132#418—591no—
1133#418C2×D5911yescharacteristic, complemented
1134#417—591no—
1135#417—591no—
1136#417—591no—
1137#417—591no—
1138#416—591no—
1139#416—591no—
1140#416—591no—
1141#416—591no—
1142C2×#102—591no—
1143C2×#102—591no—
1144C2×#102—591no—
1145C2×#102—591no—
1146C2×#102—591no—
1147C2×#102C2×D5911yescharacteristic, complemented
1148#408—591no—
1149#407—591no—
1150#405—591no—
1151C59#6117511yescharacteristic, complemented, Sylow
1152C25—1181no—
1153H(5,𝔽2)—1184no—
1154H(5,𝔽2)—2362no—
1155C2×#41—591no—
1156C2×#41—591no—
1157C2×#41—591no—
1158C2×#41—591no—
1159C2×#41—591no—
1160C2×#41—1181no—
1161C22×D4—21no—
1162C22×D4—591no—
1163C22×D4—591no—
1164C22×D4—591no—
1165C22×D4—591no—
1166C22×D4—591no—
1167C22×D4—591no—
1168C22×D4—1181no—
1169C22×D4—1181no—
1170C22×D4—1181no—
1171C22×D4—1184no—
1172C22×D4—1181no—
1173C22×D4—1181no—
1174C22×D4—1181no—
1175C22×D4—1181no—
1176C22×D4—1181no—
1177C22×D4—1181no—
1178C22×D4—2362no—
1179C22×D4C22×D5911yescharacteristic
1180C22×D4C22×D5911yescharacteristic
1181C23×C4—591no—
1182AGL(1,ℤ/8)—1184no—
1183AGL(1,ℤ/8)—2362no—
1184#135—2362no—
1185C2×Q16—591no—
1186C2×SD16—591no—
1187C2×SD16—591no—
1188C2×SD16—591no—
1189C2×SD16—591no—
1190C2×SD16—591no—
1191C2×SD16—591no—
1192C2×D8—591no—
1193C2×D8—591no—
1194C2×D8C22×D5911yescharacteristic
1195C2×D8C22×D5911yescharacteristic
1196C2×D8C22×D5911yescharacteristic, complemented
1197#131—2362no—
1198C2×M16—591no—
1199C2×M16—591no—
1200C2×M16—591no—
1201C2×M16—591no—
1202C2×M16—591no—
1203C2×M16—591no—
1204C2×M16—591no—
1205C2×M16—2362no—
1206C2×M16C22×D5911yescharacteristic
1207C22×C8—591no—
1208C22×C8—591no—
1209C22×C8—591no—
1210C22×C8C22×D5911yescharacteristic, complemented
1211C4⋊Q8—591no—
1212C4⋊Q8—591no—
1213C4⋊Q8—1181no—
1214#127—591no—
1215#127—1181no—
1216#127C22×D5911yescharacteristic
1217#126—21no—
1218#126—1181no—
1219#126—1181no—
1220#126—1181no—
1221#126—1181no—
1222#126—1181no—
1223#126—1181no—
1224#126—1181no—
1225#125—591no—
1226#125—1181no—
1227#125—1181no—
1228#125—1181no—
1229#125C22×D5911yescharacteristic, complemented
1230#124—591no—
1231#124—591no—
1232#124—1181no—
1233#124—1181no—
1234#124—1181no—
1235#124—1181no—
1236#124—1181no—
1237#124—1181no—
1238#124—1181no—
1239#123—21no—
1240#123—591no—
1241#123—591no—
1242#123—1181no—
1243#123—1181no—
1244#123—1181no—
1245#123—1181no—
1246#123—1181no—
1247#123—1181no—
1248#123—1181no—
1249#123—1181no—
1250#123—1181no—
1251C22⋊Q8—591no—
1252C22⋊Q8—591no—
1253C22⋊Q8—591no—
1254C22⋊Q8—591no—
1255C22⋊Q8—591no—
1256C22⋊Q8—591no—
1257C22⋊Q8—591no—
1258C22⋊Q8—591no—
1259C22⋊Q8—1181no—
1260C22⋊Q8—1181no—
1261C22⋊Q8—1181no—
1262#121—21no—
1263#121—21no—
1264#121—591no—
1265#121—591no—
1266#121—591no—
1267#121—591no—
1268#121—591no—
1269#121—591no—
1270#121—591no—
1271#121—591no—
1272#121—1181no—
1273#121—1181no—
1274#121—1181no—
1275#121—1181no—
1276#121—1181no—
1277#121—1181no—
1278#121—1181no—
1279#121—1181no—
1280#121—1181no—
1281#121—1181no—
1282#121—1181no—
1283#121—1181no—
1284#121—1181no—
1285#121—1181no—
1286#121—1181no—
1287#121C22×D5911yescharacteristic
1288#121C22×D5911yescharacteristic
1289#121C22×D5911yescharacteristic
1290#121C22×D5911yescharacteristic, complemented
1291#120—21no—
1292#120—21no—
1293#120—591no—
1294#120—591no—
1295#120—1181no—
1296#120—1181no—
1297#120—1181no—
1298#120—1181no—
1299#120—1181no—
1300#120—1181no—
1301#120—1181no—
1302#120—1181no—
1303#120—1181no—
1304#120—1181no—
1305#120—1181no—
1306#120—1181no—
1307#120—1181no—
1308#120—1181no—
1309#120—1181no—
1310#120—1181no—
1311C4×Q8—591no—
1312C4×Q8—591no—
1313C4×Q8—1181no—
1314C4×Q8—1181no—
1315C4×Q8—1181no—
1316C4×D4—21no—
1317C4×D4—591no—
1318C4×D4—591no—
1319C4×D4—591no—
1320C4×D4—591no—
1321C4×D4—591no—
1322C4×D4—591no—
1323C4×D4—591no—
1324C4×D4—1181no—
1325C4×D4—1181no—
1326C4×D4—1181no—
1327C4×D4—1181no—
1328C4×D4—1181no—
1329C4×D4—1181no—
1330C4×D4—1181no—
1331C4×D4—1181no—
1332C4×D4—1181no—
1333C4×D4—1181no—
1334C4×D4—1181no—
1335C4×D4—1181no—
1336C4×D4C22×D5911yescharacteristic
1337C4×D4C22×D5911yescharacteristic
1338C4×D4C22×D5911yescharacteristic, complemented
1339#117—591no—
1340#117—591no—
1341#117—591no—
1342#117—591no—
1343#117—591no—
1344#117—591no—
1345#117—591no—
1346#117—591no—
1347#117—1181no—
1348#117—1181no—
1349#117—1181no—
1350#117—1181no—
1351#117—1181no—
1352#117—1181no—
1353#117—1181no—
1354#117C22×D5911yescharacteristic
1355C2×C4⋊C4—591no—
1356C2×C4⋊C4—591no—
1357C2×C4⋊C4—591no—
1358C2×C4⋊C4—1181no—
1359C2×C4⋊C4C22×D5911yescharacteristic, complemented
1360C2×C22⋊C4—1181no—
1361C2×C22⋊C4—1181no—
1362C2×C22⋊C4—1181no—
1363C2×C22⋊C4—1181no—
1364C2×C22⋊C4—1181no—
1365C2×C22⋊C4—1181no—
1366C2×C22⋊C4—1181no—
1367C2×C42—1181no—
1368#107—591no—
1369#107—591no—
1370#107—591no—
1371#107—591no—
1372#107—591no—
1373#107C22×D5911yescharacteristic, complemented
1374#106—591no—
1375#106—591no—
1376#106—591no—
1377#106—591no—
1378#106C22×D5911yescharacteristic, complemented
1379#106C22×D5911yescharacteristic, complemented
1380C4⋊C8—591no—
1381C4⋊C8—591no—
1382C4⋊C8—591no—
1383C4⋊C8C22×D5911yescharacteristic, complemented
1384#103—591no—
1385#103—591no—
1386#103—591no—
1387#103—591no—
1388#103—591no—
1389#103—591no—
1390#103—591no—
1391#103—591no—
1392#102—591no—
1393#102—591no—
1394#102—591no—
1395#102—591no—
1396#102—591no—
1397#102—591no—
1398#102—591no—
1399#102—591no—
1400#102—591no—
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102—591no—
1406#102—591no—
1407#102—591no—
1408#102—591no—
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102—591no—
1413#102—591no—
1414#102C22×D5911yescharacteristic
1415#102C22×D5911yescharacteristic
1416#102C22×D5911yescharacteristic
1417#102C22×D5911yescharacteristic
1418#102C22×D5911yescharacteristic
1419#102C22×D5911yescharacteristic
1420#102C22×D5911yescharacteristic, complemented
1421#102C22×D5911yescharacteristic, complemented
1422#102C22×D5911yescharacteristic, complemented
1423#102C22×D5911yescharacteristic, complemented
1424C22⋊C8—591no—
1425C22⋊C8—591no—
1426C22⋊C8—591no—
1427C22⋊C8—591no—
1428C22⋊C8—591no—
1429C22⋊C8—591no—
1430C22⋊C8C22×D5911yescharacteristic
1431C22⋊C8C22×D5911yescharacteristic, complemented
1432#97—591no—
1433#97C22×D5911yescharacteristic, complemented
1434C4×C8—591no—
1435C4×C8—591no—
1436C24—21no—
1437C24—21no—
1438C24—591no—
1439C24—1181no—
1440C24—1181no—
1441C24—1181no—
1442C24—1181no—
1443C24—1181no—
1444C24—1181no—
1445C24—4722no—
1446C24—4722no—
1447C24—2364no—
1448#41—1182no—
1449#41—1182no—
1450#41—1182no—
1451#41—1182no—
1452#41—1182no—
1453#41—1182no—
1454#41—1182no—
1455#41—1182no—
1456#41—2361no—
1457#41—2361no—
1458#41—2364no—
1459C2×Q8—591no—
1460C2×Q8—591no—
1461C2×Q8—591no—
1462C2×Q8—1181no—
1463C2×Q8—1181no—
1464C2×D4—22no—
1465C2×D4—22no—
1466C2×D4—21no—
1467C2×D4—21no—
1468C2×D4—21no—
1469C2×D4—21no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—41no—
1475C2×D4—41no—
1476C2×D4—82no—
1477C2×D4—594no—
1478C2×D4—591no—
1479C2×D4—591no—
1480C2×D4—591no—
1481C2×D4—591no—
1482C2×D4—591no—
1483C2×D4—591no—
1484C2×D4—591no—
1485C2×D4—591no—
1486C2×D4—1182no—
1487C2×D4—1181no—
1488C2×D4—1182no—
1489C2×D4—1182no—
1490C2×D4—1182no—
1491C2×D4—1181no—
1492C2×D4—1181no—
1493C2×D4—1181no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1182no—
1499C2×D4—1182no—
1500C2×D4—1182no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—4722no—
1512C2×D4—4722no—
1513C2×D4—4722no—
1514C2×D4—2361no—
1515C2×D4—2361no—
1516C2×D4—2361no—
1517C2×D4—2361no—
1518C2×D4—2364no—
1519C2×D4—2364no—
1520C2×D4—2364no—
1521C2×D4—2364no—
1522C2×D4—2364no—
1523C2×D4—2364no—
1524C2×D4D4×D5911yescharacteristic
1525C2×D4C23×D5911yescharacteristic
1526C2×D4C23×D5911yescharacteristic
1527C2×D4C23×D5911yescharacteristic
1528C2×D4C23×D5911yescharacteristic
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—21no—
1532C22×C4—591no—
1533C22×C4—591no—
1534C22×C4—591no—
1535C22×C4—591no—
1536C22×C4—591no—
1537C22×C4—591no—
1538C22×C4—1182no—
1539C22×C4—1182no—
1540C22×C4—1181no—
1541C22×C4—1181no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4—1181no—
1545C22×C4—1181no—
1546C22×C4—1181no—
1547C22×C4—1181no—
1548C22×C4—1181no—
1549C22×C4—1181no—
1550C22×C4—1181no—
1551C22×C4C23×D5911yescharacteristic
1552C22×C4C23×D5911yescharacteristic
1553Q16—2361no—
1554SD16—1182no—
1555SD16—1182no—
1556SD16—2361no—
1557SD16—2361no—
1558SD16—2361no—
1559SD16—2361no—
1560D8—22no—
1561D8—41no—
1562D8—41no—
1563D8—1182no—
1564D8—2361no—
1565M16—41no—
1566M16—1182no—
1567M16—1182no—
1568M16—2361no—
1569M16—2361no—
1570M16—2361no—
1571M16—2361no—
1572M16—2361no—
1573C2×C8—41no—
1574C2×C8—591no—
1575C2×C8—591no—
1576C2×C8—591no—
1577C2×C8—591no—
1578C2×C8—1182no—
1579C2×C8—1182no—
1580C2×C8—2361no—
1581C2×C8C23×D5911yescharacteristic
1582C2×C8C23×D5911yescharacteristic
1583C2×C8C23×D5911yescharacteristic
1584C2×C8C23×D5911yescharacteristic
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—591no—
1589C4⋊C4—591no—
1590C4⋊C4—591no—
1591C4⋊C4—591no—
1592C4⋊C4—591no—
1593C4⋊C4—591no—
1594C4⋊C4—591no—
1595C4⋊C4—591no—
1596C4⋊C4—591no—
1597C4⋊C4—1181no—
1598C4⋊C4—1181no—
1599C4⋊C4—1181no—
1600C4⋊C4—1181no—
1601C4⋊C4—1181no—
1602C4⋊C4—1181no—
1603C4⋊C4—1181no—
1604C4⋊C4—1181no—
1605C4⋊C4—1181no—
1606C4⋊C4—1181no—
1607C4⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4—1181no—
1610C4⋊C4—1181no—
1611C4⋊C4—1181no—
1612C4⋊C4D4×D5911yescharacteristic
1613C4⋊C4C23×D5911yescharacteristic
1614C4⋊C4C23×D5911yescharacteristic
1615C4⋊C4C23×D5911yescharacteristic
1616C4⋊C4C23×D5911yescharacteristic
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—591no—
1625C22⋊C4—591no—
1626C22⋊C4—591no—
1627C22⋊C4—591no—
1628C22⋊C4—591no—
1629C22⋊C4—591no—
1630C22⋊C4—591no—
1631C22⋊C4—591no—
1632C22⋊C4—1181no—
1633C22⋊C4—1181no—
1634C22⋊C4—1181no—
1635C22⋊C4—1181no—
1636C22⋊C4—1181no—
1637C22⋊C4—1181no—
1638C22⋊C4—1181no—
1639C22⋊C4—1181no—
1640C22⋊C4—1181no—
1641C22⋊C4—1181no—
1642C22⋊C4—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
1647C22⋊C4—1181no—
1648C22⋊C4—1181no—
1649C22⋊C4—1181no—
1650C22⋊C4—1181no—
1651C22⋊C4—1181no—
1652C22⋊C4—1181no—
1653C22⋊C4—1181no—
1654C22⋊C4—1181no—
1655C22⋊C4—1181no—
1656C22⋊C4—1181no—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4D4×D5911yescharacteristic
1660C22⋊C4D4×D5911yescharacteristic
1661C42—21no—
1662C42—591no—
1663C42—1181no—
1664C42—1181no—
1665C42—1181no—
1666C42—1181no—
1667C42—1181no—
1668C42—1181no—
1669C42—1181no—
1670C42—1181no—
1671C42—1181no—
1672C42C23×D5911yescharacteristic
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—42no—
1678C23—42no—
1679C23—42no—
1680C23—81no—
1681C23—81no—
1682C23—81no—
1683C23—591no—
1684C23—591no—
1685C23—591no—
1686C23—1184no—
1687C23—1182no—
1688C23—1181no—
1689C23—1181no—
1690C23—4721no—
1691C23—4721no—
1692C23—4721no—
1693C23—4721no—
1694C23—4721no—
1695C23—4721no—
1696C23—4721no—
1697C23—4721no—
1698C23—4721no—
1699C23—47216no—
1700C23—2361no—
1701C23—2361no—
1702C23—2362no—
1703C23—2362no—
1704C23—2362no—
1705C23—2362no—
1706C23—2362no—
1707C23—2362no—
1708C23—2362no—
1709C23—2362no—
1710C23C2×D4×D5911yescharacteristic
1711C23C2×D4×D5911yescharacteristic
1712Q8—1182no—
1713Q8—1181no—
1714Q8—1181no—
1715Q8—1181no—
1716Q8—1181no—
1717Q8—4721no—
1718Q8—4721no—
1719D4—21no—
1720D4—21no—
1721D4—21no—
1722D4—21no—
1723D4—21no—
1724D4—21no—
1725D4—21no—
1726D4—41no—
1727D4—42no—
1728D4—42no—
1729D4—42no—
1730D4—81no—
1731D4—81no—
1732D4—81no—
1733D4—81no—
1734D4—81no—
1735D4—592no—
1736D4—1182no—
1737D4—1184no—
1738D4—1182no—
1739D4—1182no—
1740D4—1181no—
1741D4—1181no—
1742D4—1181no—
1743D4—4721no—
1744D4—4721no—
1745D4—4721no—
1746D4—4721no—
1747D4—4721no—
1748D4—4721no—
1749D4—4721no—
1750D4—2361no—
1751D4—2362no—
1752D4—2362no—
1753D4—2361no—
1754D4—2361no—
1755D4—2362no—
1756D4—2362no—
1757D4—2362no—
1758D4—2362no—
1759D4—2362no—
1760D4—2362no—
1761D4—2362no—
1762D4—2362no—
1763D4#41×D5912yes—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—81no—
1773C2×C4—81no—
1774C2×C4—81no—
1775C2×C4—591no—
1776C2×C4—592no—
1777C2×C4—592no—
1778C2×C4—591no—
1779C2×C4—591no—
1780C2×C4—591no—
1781C2×C4—591no—
1782C2×C4—1182no—
1783C2×C4—1182no—
1784C2×C4—1182no—
1785C2×C4—1181no—
1786C2×C4—1181no—
1787C2×C4—1181no—
1788C2×C4—1181no—
1789C2×C4—1181no—
1790C2×C4—1181no—
1791C2×C4—1181no—
1792C2×C4—1181no—
1793C2×C4—1181no—
1794C2×C4—1181no—
1795C2×C4—4721no—
1796C2×C4—4721no—
1797C2×C4—4721no—
1798C2×C4—4721no—
1799C2×C4—4721no—
1800C2×C4—4721no—
1801C2×C4—4721no—
1802C2×C4—2362no—
1803C2×C4—2362no—
1804C2×C4—2362no—
1805C2×C4—2362no—
1806C2×C4C2×D4×D5911yescharacteristic
1807C2×C4C2×D4×D5911yescharacteristic
1808C2×C4C2×D4×D5911yescharacteristic
1809C2×C4C2×D4×D5911yescharacteristic
1810C2×C4C24×D5911yescharacteristic
1811C8—21no—
1812C8—21no—
1813C8—21no—
1814C8—21no—
1815C8—1181no—
1816C8—1181no—
1817C8—1181no—
1818C8—1181no—
1819C22—21no—
1820C22—21no—
1821C22—22no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—21no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—84no—
1838C22—162no—
1839C22—592no—
1840C22—1181no—
1841C22—1181no—
1842C22—1181no—
1843C22—1181no—
1844C22—1182no—
1845C22—1181no—
1846C22—1181no—
1847C22—1181no—
1848C22—1181no—
1849C22—9442no—
1850C22—4724no—
1851C22—4724no—
1852C22—4724no—
1853C22—4724no—
1854C22—4724no—
1855C22—2364no—
1856C22—2361no—
1857C22—2361no—
1858C22—2361no—
1859C22—2361no—
1860C22—2361no—
1861C22C22×D4×D5911yescharacteristic
1862C4—21no—
1863C4—21no—
1864C4—21no—
1865C4—21no—
1866C4—41no—
1867C4—41no—
1868C4—41no—
1869C4—41no—
1870C4—592no—
1871C4—1181no—
1872C4—1181no—
1873C4—1181no—
1874C4—1181no—
1875C4—2361no—
1876C4—2361no—
1877C4—2361no—
1878C4—2361no—
1879C4—2361no—
1880C4—2361no—
1881C4C2×#41×D5911yescharacteristic
1882C4H(5,𝔽2)×D5911yescharacteristic
1883C2—41no—
1884C2—41no—
1885C2—42no—
1886C2—81no—
1887C2—81no—
1888C2—81no—
1889C2—1182no—
1890C2—4721no—
1891C2—2361no—
1892C2—2361no—
1893C2—2362no—
1894C2#546×D5911yescharacteristic
1895C2#2143887111yescharacteristic
1896C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3318C2
socleC22×C59C23×D4
hypercenter#3318D59
hypocenterC59#61175
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #21437812C2semidirect
2. #21437724C2semidirect
3. #21436341C2semidirect
4. #21436331C2semidirect
5. #21436327C2semidirect
6. #21436325C2semidirect
7. #21436315C2semidirect
8. #21436309C2semidirect
9. #21436301C2semidirect
10. #21436291C2semidirect
11. #21436258C2semidirect
12. #21436257C2semidirect
13. #21436232C2semidirect
14. #21436134C2semidirect
15. #21436133C2semidirect
16. #21436116C2semidirect
17. #21436113C2semidirect
18. #21434451C2semidirect
19. #21434053C2semidirect
20. #21434024C2semidirect
21. #21433926C2semidirect
22. #21433775C2semidirect
23. #21433703C2semidirect
24. #21433630C2semidirect
25. #21433395C2semidirect
26. #21433320C2semidirect
27. #21432925C2semidirect
28. #21432794C2semidirect
29. #21432617C2semidirect
30. #418×D59C2semidirect
31. C59×#3318C2semidirect
35. C2×#14273751C22semidirect
36. C2×#14273746C22semidirect
37. C2×#14273733C22semidirect
38. C2×M16×D59C22semidirect
39. #16838122C22semidirect
40. #16838120C22semidirect
42. #16838117C22semidirect
44. #16838116C22semidirect
46. #16838099C22semidirect
47. #16838090C22semidirect
49. #16838087C22semidirect
61. #16838032C22semidirect
64. #16837981C22semidirect
72. #16837912C22semidirect
76. #16837883C22semidirect
77. #16837881C22semidirect
79. #117×D59C22semidirect
80. #16837765C22semidirect
81. #16837762C22semidirect
82. #16837760C22semidirect
83. #16837759C22semidirect
84. #16837755C22semidirect
85. #16837748C22semidirect
86. #16837747C22semidirect
87. #16837746C22semidirect
88. #16837745C22semidirect
89. #16837744C22semidirect
90. #16837743C22semidirect
91. #16837728C22semidirect
92. #16837727C22semidirect
93. #16837725C22semidirect
94. #16837725C22semidirect
95. #16837724C22semidirect
96. #16837723C22semidirect
97. #16837723C22semidirect
98. #16837722C22semidirect
99. #16837715C22semidirect
100. #16837714C22semidirect
101. #16837704C22semidirect
102. #16837701C22semidirect
103. #16837699C22semidirect
104. #16837693C22semidirect
105. #16837690C22semidirect
106. #16837682C22semidirect
107. #16837681C22semidirect
108. #16837661C22semidirect
109. #16837660C22semidirect
110. #16837653C22semidirect
111. #16837652C22semidirect
112. #16837652C22semidirect
113. #16837649C22semidirect
114. #16837647C22semidirect
115. #16837647C22semidirect
116. #16837646C22semidirect
117. #16837646C22semidirect
118. #16837646C22semidirect
119. #16837637C22semidirect
120. #16837631C22semidirect
121. #16837630C22semidirect
122. #16837625C22semidirect
123. #16837623C22semidirect
124. #16837617C22semidirect
125. #16837615C22semidirect
126. #16837601C22semidirect
127. #16837599C22semidirect
128. #16837595C22semidirect
129. #16837566C22semidirect
130. #16837565C22semidirect
131. #16837555C22semidirect
132. #16837554C22semidirect
133. #16837554C22semidirect
134. #16837554C22semidirect
135. #16837553C22semidirect
136. #16837553C22semidirect
137. #16837545C22semidirect
138. #16837544C22semidirect
139. #16837535C22semidirect
140. #16837534C22semidirect
141. #16837534C22semidirect
142. #16837534C22semidirect
143. #16837511C22semidirect
144. #16837504C22semidirect
145. #16837499C22semidirect
146. #16837489C22semidirect
147. C4×#11745670C22semidirect
148. D8×Dic59C22semidirect
149. C4×#11745669C22semidirect
150. #16837480C22semidirect
151. #16837479C22semidirect
152. #16837477C22semidirect
153. #16837477C22semidirect
154. #16837475C22semidirect
155. #16837473C22semidirect
156. #16837471C22semidirect
157. #16837443C22semidirect
158. #16837441C22semidirect
159. #16837437C22semidirect
160. #16837427C22semidirect
161. #16837408C22semidirect
162. #16837407C22semidirect
163. #16837407C22semidirect
164. #16837406C22semidirect
166. #16837405C22semidirect
167. #16837405C22semidirect
168. #16837405C22semidirect
169. #16837405C22semidirect
170. #16837405C22semidirect
171. #16837405C22semidirect
172. #16837401C22semidirect
173. #16837400C22semidirect
174. #16837400C22semidirect
175. #16837400C22semidirect
176. #16837399C22semidirect
177. #16837395C22semidirect
178. #16837395C22semidirect
179. #16837395C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. #16837367C22semidirect
186. #16837364C22semidirect
187. #16837359C22semidirect
188. C59×#553C22semidirect
190. C59×#490C22semidirect
191. C59×#482C22semidirect
192. C59×#481C22semidirect
193. C59×#478C22semidirect
194. C59×#469C22semidirect
195. C59×#466C22semidirect
196. C59×#459C22semidirect
197. C59×#447C22semidirect
198. C59×#447C22semidirect
199. C59×#442C22semidirect
200. C59×#435C22semidirect
201. C59×#418C22semidirect
202. C2×#102×C59C22semidirect
233. C2×Dic236C23semidirect
238. C2×#11745670C23semidirect
239. C2×#11745670C23semidirect
244. C2×#11745664C23semidirect
249. C2×#11745659C23semidirect
253. C2×C8×D59C23semidirect
254. #14273727C23semidirect
256. #14273726C23semidirect
267. #14273718C23semidirect
293. #14273707C23semidirect
296. #14273706C23semidirect
323. #14273698C23semidirect
343. C4×Dic118C23semidirect
346. #14273692C23semidirect
352. D4×Dic59C23semidirect
369. #14273686C23semidirect
375. #14273685C23semidirect
384. C4⋊C4×D59C23semidirect
393. #14273661C23semidirect
394. #14273660C23semidirect
395. #14273660C23semidirect
396. #14273660C23semidirect
397. #14273660C23semidirect
398. #14273659C23semidirect
399. #14273659C23semidirect
400. #14273658C23semidirect
401. #14273658C23semidirect
402. C4⋊(C59⋊C8)C23semidirect
403. Dic59⋊C8C23semidirect
404. Dic59⋊C8C23semidirect
405. #14273652C23semidirect
406. #14273652C23semidirect
407. #14273652C23semidirect
408. #14273652C23semidirect
409. #14273650C23semidirect
410. #14273650C23semidirect
411. #14273650C23semidirect
412. #14273650C23semidirect
425. #14273648C23semidirect
426. #14273648C23semidirect
427. #14273648C23semidirect
428. #14273648C23semidirect
436. C22⋊(C59⋊C8)C23semidirect
439. (C2×D59)⋊C8C23semidirect
440. (C2×D59)⋊C8C23semidirect
441. #14273637C23semidirect
442. C4×C59⋊C8C23semidirect
443. C8×Dic59C23semidirect
449. C2×D8×C59C23semidirect
451. C22×C8×C59C23semidirect
454. #125×C59C23semidirect
461. #121×C59C23semidirect
467. C4×D4×C59C23semidirect
469. C2×C4⋊C4×C59C23semidirect
470. #107×C59C23semidirect
471. #106×C59C23semidirect
472. #106×C59C23semidirect
473. C4⋊C8×C59C23semidirect
480. #102×C59C23semidirect
481. #102×C59C23semidirect
482. #102×C59C23semidirect
483. #102×C59C23semidirect
485. C22⋊C8×C59C23semidirect
486. #97×C59C23semidirect
948. #3318D59semidirect
995. #553C2×D59semidirect
1031. #490C2×D59semidirect
1049. #482C2×D59semidirect
1051. #481C2×D59semidirect
1057. #478C2×D59semidirect
1067. #469C2×D59semidirect
1075. #466C2×D59semidirect
1085. #459C2×D59semidirect
1100. #447C2×D59semidirect
1101. #447C2×D59semidirect
1103. #442C2×D59semidirect
1117. #435C2×D59semidirect
1133. #418C2×D59semidirect
1147. C2×#102C2×D59semidirect
1151. C59#61175semidirect
1196. C2×D8C22×D59semidirect
1210. C22×C8C22×D59semidirect
1229. #125C22×D59semidirect
1290. #121C22×D59semidirect
1338. C4×D4C22×D59semidirect
1359. C2×C4⋊C4C22×D59semidirect
1373. #107C22×D59semidirect
1378. #106C22×D59semidirect
1379. #106C22×D59semidirect
1383. C4⋊C8C22×D59semidirect
1420. #102C22×D59semidirect
1421. #102C22×D59semidirect
1422. #102C22×D59semidirect
1423. #102C22×D59semidirect
1431. C22⋊C8C22×D59semidirect
1433. #97C22×D59semidirect

Maximal subgroups

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

subgroupindex
#214378122
#214377242
#214363412
#214363312
#214363272
#214363252
#214363152
#214363092
#214363012
#214362912
#214362582
#214362572
#214362322
#214361342
#214361332
#214361162
#214361132
#214344512
#214340532
#214340242
#214339262
#214337752
#214337032
#214336302
#214333952
#214333202
#214329252
#214327942
#214326172
#418×D592
C59×#33182
#6117559