Finite Group Databasebeta

← #29473387

Subgroups — #29473387

Order 15104.

2282 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437923C211yesmaximal, characteristic, complemented
2#546×D59C211yesmaximal, characteristic, complemented
3#21435953C211yesmaximal, characteristic, complemented
4#21435951C211yesmaximal, characteristic, complemented
5#21435941C211yesmaximal, characteristic, complemented
6#21435939C211yesmaximal, characteristic, complemented
7#21435937C211yesmaximal, characteristic, complemented
8#21435935C211yesmaximal, characteristic, complemented
9#21435933C211yesmaximal, characteristic, complemented
10#21435931C211yesmaximal, characteristic, complemented
11#21435809C211yesmaximal, characteristic, complemented
12#21435806C211yesmaximal, characteristic, complemented
13#21435802C211yesmaximal, characteristic, complemented
14#21435797C211yesmaximal, characteristic, complemented
15#21435781C211yesmaximal, characteristic, complemented
16#21435777C211yesmaximal, characteristic, complemented
17#21435774C211yesmaximal, characteristic, complemented
18#21435059C211yesmaximal, characteristic, complemented
19#21435056C211yesmaximal, characteristic, complemented
20#21434867C211yesmaximal, characteristic, complemented
21#21434859C211yesmaximal, characteristic, complemented
22#21434856C211yesmaximal, characteristic, complemented
23#21434850C211yesmaximal, characteristic, complemented
24#21434142C211yesmaximal, characteristic, complemented
25#21434141C211yesmaximal, characteristic, complemented
26#21433311C211yesmaximal, characteristic, complemented
27#21433310C211yesmaximal, characteristic, complemented
28#450×D59C211yesmaximal, characteristic, complemented
29C2×#16837534C211yesmaximal, characteristic, complemented
30#21433117C211yesmaximal, characteristic, complemented
31C59×#3280C211yesmaximal, characteristic, complemented
32C2×#41×D59C2211yescharacteristic, complemented
33C22×D4×D59C2211yescharacteristic
34C2×#14273748C2211yescharacteristic, complemented
35C2×#14273747C2211yescharacteristic, complemented
36C2×#14273746C2211yescharacteristic, complemented
37C2×SD16×D59C2211yescharacteristic, complemented
38C2×SD16×D59C2211yescharacteristic, complemented
39C22×#11745669C2211yescharacteristic, complemented
40#16838102C2211yescharacteristic, complemented
41#16838099—21no—
42#16838099C2211yescharacteristic, complemented
43#16838097—21no—
44#16838094C2211yescharacteristic, complemented
45#16838092C2211yescharacteristic, complemented
46#16838083—21no—
47#16838078—21no—
48#16838060C2211yescharacteristic, complemented
49#16838059C2211yescharacteristic, complemented
50#16838049C2211yescharacteristic, complemented
51#16838048C2211yescharacteristic
52#16838047C2211yescharacteristic, complemented
53#16838046C2211yescharacteristic
54#16838046C2211yescharacteristic, complemented
55#16838045C2211yescharacteristic, complemented
56#16838044—21no—
57#16838043C2211yescharacteristic
58#16838042—21no—
59#16838041—21no—
60#16838040C2211yescharacteristic, complemented
61#16838039—21no—
62#16837995—21no—
63#16837984—21no—
64#16837962—21no—
65#16837934C2211yescharacteristic, complemented
66#16837931C2211yescharacteristic, complemented
67#124×D59C2211yescharacteristic, complemented
68#16837912C2211yescharacteristic, complemented
69#16837909C2211yescharacteristic, complemented
70#123×D59—21no—
71C22⋊Q8×D59C2211yescharacteristic
72C22⋊Q8×D59C2211yescharacteristic
73C2×#14273698C2211yescharacteristic
74#121×D59—21no—
75#121×D59C2211yescharacteristic, complemented
76#120×D59—21no—
77#16837875—21no—
78C4×D4×D59C2211yescharacteristic
79C4×D4×D59C2211yescharacteristic, complemented
80C2×C22⋊C4×D59—21no—
81#16837785C2211yescharacteristic, complemented
82#16837784C2211yescharacteristic, complemented
83#16837783C2211yescharacteristic, complemented
84#16837758C2211yescharacteristic, complemented
85#16837757C2211yescharacteristic, complemented
86#16837756C2211yescharacteristic, complemented
87#16837755C2211yescharacteristic, complemented
88#16837739C2211yescharacteristic, complemented
89#16837739C2211yescharacteristic, complemented
90#16837736C2211yescharacteristic, complemented
91#16837736C2211yescharacteristic, complemented
92#16837733C2211yescharacteristic, complemented
93#16837730C2211yescharacteristic, complemented
94#16837729C2211yescharacteristic, complemented
95#16837727C2211yescharacteristic, complemented
96#16837725C2211yescharacteristic, complemented
97#16837723C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837719C2211yescharacteristic, complemented
100#16837705C2211yescharacteristic, complemented
101#16837704C2211yescharacteristic, complemented
102#16837703C2211yescharacteristic, complemented
103#16837702C2211yescharacteristic, complemented
104#16837643C2211yescharacteristic, complemented
105#16837641C2211yescharacteristic, complemented
106#16837641C2211yescharacteristic, complemented
107#16837637C2211yescharacteristic, complemented
108#16837636C2211yescharacteristic, complemented
109#16837635C2211yescharacteristic, complemented
110#16837634C2211yescharacteristic, complemented
111#16837631C2211yescharacteristic, complemented
112#16837630C2211yescharacteristic, complemented
113#16837630C2211yescharacteristic, complemented
114#16837629C2211yescharacteristic, complemented
115#16837628C2211yescharacteristic, complemented
116#16837628C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837626C2211yescharacteristic, complemented
119#16837625C2211yescharacteristic, complemented
120#16837622C2211yescharacteristic, complemented
121#16837621C2211yescharacteristic, complemented
122#16837619C2211yescharacteristic, complemented
123#16837617C2211yescharacteristic, complemented
124#16837616C2211yescharacteristic, complemented
125#16837615C2211yescharacteristic, complemented
126#16837615C2211yescharacteristic, complemented
127#16837614C2211yescharacteristic, complemented
128#16837566C2211yescharacteristic, complemented
129#16837564C2211yescharacteristic, complemented
130#16837563C2211yescharacteristic, complemented
131#16837561C2211yescharacteristic, complemented
132#16837559C2211yescharacteristic, complemented
133#16837559C2211yescharacteristic, complemented
134#16837556C2211yescharacteristic, complemented
135#16837556C2211yescharacteristic, complemented
136#16837555C2211yescharacteristic, complemented
137#16837554C2211yescharacteristic, complemented
138#16837554C2211yescharacteristic, complemented
139#16837553C2211yescharacteristic, complemented
140#16837553C2211yescharacteristic, complemented
141#16837552C2211yescharacteristic, complemented
142#16837551C2211yescharacteristic, complemented
143#16837551C2211yescharacteristic, complemented
144#16837548C2211yescharacteristic, complemented
145#16837547C2211yescharacteristic, complemented
146#16837546C2211yescharacteristic, complemented
147#16837545C2211yescharacteristic, complemented
148#16837544C2211yescharacteristic, complemented
149#16837544C2211yescharacteristic, complemented
150#16837539C2211yescharacteristic, complemented
151#16837539C2211yescharacteristic, complemented
152#16837534C2211yescharacteristic
153#16837534C2211yescharacteristic
154#16837534C2211yescharacteristic
155#16837534C2211yescharacteristic
156#16837534C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160C4×#11745660C2211yescharacteristic, complemented
161SD16×Dic59C2211yescharacteristic, complemented
162C4×#11745670C2211yescharacteristic, complemented
163#16837487C2211yescharacteristic, complemented
164D8×Dic59C2211yescharacteristic, complemented
165C4×#11745669C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic, complemented
167C8×D236C2211yescharacteristic, complemented
168D4×C59⋊C8C2211yescharacteristic, complemented
169#16837467C2211yescharacteristic, complemented
170C8×C22⋊D59C2211yescharacteristic, complemented
171C8×C22⋊D59C2211yescharacteristic, complemented
172(C22⋊D59)⋊C8C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic, complemented
174#16837454C2211yescharacteristic, complemented
175#16837453C2211yescharacteristic, complemented
176#16837399C2211yescharacteristic, complemented
177#16837398C2211yescharacteristic, complemented
178#16837397C2211yescharacteristic, complemented
179#16837395C2211yescharacteristic, complemented
180C2×#14273649C2211yescharacteristic, complemented
181C2×#14273648C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184C2×(C2×D59)⋊C8C2211yescharacteristic
185C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
186C22⋊C8×D59C2211yescharacteristic
187C22⋊C8×D59C2211yescharacteristic, complemented
188C2×#135×C59C2211yescharacteristic, complemented
189C22×D8×C59C2211yescharacteristic, complemented
190C59×#546C2211yescharacteristic
191C59×#546C2211yescharacteristic, complemented
192C59×#495C2211yescharacteristic, complemented
193C59×#467C2211yescharacteristic, complemented
194C59×#466C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C59×#449C2211yescharacteristic, complemented
200C59×#449C2211yescharacteristic, complemented
201C4×D8×C59C2211yescharacteristic, complemented
202C8×D4×C59C2211yescharacteristic, complemented
203C24×D59—21no—
204C2×#11745689C2311yescharacteristic
205C2×#11745685—21no—
206C2×#11745685C2311yescharacteristic
207C2×#11745687—21no—
208C2×#11745687C2311yescharacteristic
209C2×#11745687C2311yescharacteristic, complemented
210#41×D59—42no—
211#41×D59—42no—
212C2×Q8×D59C2311yescharacteristic
213C2×Q8×D59C2311yescharacteristic
214C22×D236C2311yescharacteristic
215C22×C22⋊D59—21no—
216C22×C22⋊D59—21no—
217C2×D4×D59—21no—
218C2×D4×D59—21no—
219C2×D4×D59—21no—
220C2×D4×D59—21no—
221C2×D4×D59—42no—
222C2×D4×D59—42no—
223C2×D4×D59D411yescharacteristic
224C2×D4×D59C2311yescharacteristic
225C2×D4×D59C2311yescharacteristic
226C2×D4×D59C2311yescharacteristic
227C2×D4×D59C2311yescharacteristic
228C22×C4×D59—21no—
229C22×C4×D59—21no—
230C22×C4×D59C2311yescharacteristic
231C22×C4×D59C2311yescharacteristic
232#14273748—42no—
233#14273747—42no—
234#14273746—42no—
235C2×Dic236C2311yescharacteristic, complemented
236C2×#11745672C2311yescharacteristic, complemented
237C2×#11745672C2311yescharacteristic, complemented
238C2×#11745660C2311yescharacteristic
239C2×#11745660C2311yescharacteristic
240C2×#11745670C2311yescharacteristic
241C2×#11745670C2311yescharacteristic
242C2×#11745670C2311yescharacteristic, complemented
243C2×#11745670C2311yescharacteristic, complemented
244C2×#11745671C2311yescharacteristic
245C2×#11745671C2311yescharacteristic
246SD16×D59—42no—
247SD16×D59—42no—
248C2×#11745669—42no—
249C2×#11745669C2311yescharacteristic
250C2×#11745669C2311yescharacteristic
251C2×#11745669C2311yescharacteristic
252C2×#11745669C2311yescharacteristic
253C22×C59⋊C8C2311yescharacteristic
254C22×C59⋊C8C2311yescharacteristic, complemented
255C2×C8×D59C2311yescharacteristic
256C2×C8×D59C2311yescharacteristic
257C2×C8×D59C2311yescharacteristic, complemented
258C2×C8×D59C2311yescharacteristic, complemented
259#14273722—21no—
260#14273720—21no—
261#14273720—21no—
262#14273720—21no—
263#14273720—21no—
264#14273720—21no—
265#14273719C2311yescharacteristic, complemented
266#14273718—21no—
267#14273718C2311yescharacteristic, complemented
268#14273717—21no—
269#14273716C2311yescharacteristic
270#14273715C2311yescharacteristic
271#14273714—21no—
272#14273714C2311yescharacteristic
273#14273714C2311yescharacteristic, complemented
274#14273713—21no—
275#14273713—21no—
276#14273713—21no—
277#14273712—21no—
278#14273712—21no—
279#14273711—21no—
280#14273711—21no—
281#14273710—21no—
282#14273710—21no—
283#14273709—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273708—21no—
289#14273708—21no—
290#14273708—21no—
291#14273708—21no—
292#14273708—21no—
293#14273707C2311yescharacteristic
294#14273707C2311yescharacteristic
295#14273706—21no—
296#14273706C2311yescharacteristic
297#14273706C2311yescharacteristic
298#14273706C2311yescharacteristic, complemented
299#14273705—21no—
300#14273705—21no—
301#14273704—21no—
302#14273704—21no—
303#14273704—21no—
304#14273703C2311yescharacteristic
305#14273703C2311yescharacteristic
306#14273703C2311yescharacteristic, complemented
307#14273702—21no—
308#14273702C2311yescharacteristic
309#14273701—21no—
310#14273701C2311yescharacteristic
311#14273700—21no—
312#14273700—21no—
313#14273700—21no—
314#14273700—21no—
315#14273700—21no—
316#14273699—21no—
317#14273699—21no—
318#14273699—21no—
319#14273699—21no—
320#14273698—21no—
321#14273698—21no—
322#14273698—21no—
323#14273698—21no—
324#14273698—21no—
325#14273698C2311yescharacteristic
326#14273698C2311yescharacteristic
327#14273698C2311yescharacteristic
328#14273698C2311yescharacteristic
329#14273698C2311yescharacteristic
330#14273698C2311yescharacteristic, complemented
331#14273697—21no—
332#14273697—21no—
333#14273697—21no—
334#14273696—21no—
335#14273696—21no—
336#14273695—21no—
337#14273695—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341Q8×Dic59C2311yescharacteristic, complemented
342C4×Dic118C2311yescharacteristic, complemented
343C4×D236C2311yescharacteristic
344C4×D236C2311yescharacteristic
345D4×Dic59—21no—
346D4×Dic59D411yescharacteristic
347D4×Dic59C2311yescharacteristic
348D4×Dic59C2311yescharacteristic, complemented
349#14273689D411yescharacteristic
350#14273689C2311yescharacteristic
351C4×C22⋊D59—21no—
352C4×C22⋊D59—21no—
353C4×C22⋊D59—21no—
354C4×C22⋊D59—21no—
355C4×C22⋊D59—21no—
356C4×C22⋊D59—21no—
357C4×C22⋊D59C2311yescharacteristic
358C4×C22⋊D59C2311yescharacteristic
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4—21no—
361(C22⋊D59)⋊C4—21no—
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4D411yescharacteristic
365(C22⋊D59)⋊C4D411yescharacteristic
366#14273686—21no—
367#14273686C2311yescharacteristic, complemented
368#14273685C2311yescharacteristic, complemented
369#14273683—21no—
370#14273683—21no—
371#14273683—21no—
372C2×C4⋊Dic59C2311yescharacteristic
373C4⋊C4×D59—21no—
374C4⋊C4×D59—21no—
375C4⋊C4×D59D411yescharacteristic
376C4⋊C4×D59C2311yescharacteristic
377C4⋊C4×D59C2311yescharacteristic
378C2×C22⋊Dic59—21no—
379C2×C22⋊Dic59—21no—
380C2×C22⋊Dic59—21no—
381C2×(C2×D59)⋊C4—21no—
382C2×(C2×D59)⋊C4—21no—
383C22⋊C4×D59—21no—
384C22⋊C4×D59—21no—
385C22⋊C4×D59—21no—
386C22⋊C4×D59—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59D411yescharacteristic
394C22⋊C4×D59D411yescharacteristic
395C42×D59C2311yescharacteristic
396#14273661C2311yescharacteristic, complemented
397#14273660C2311yescharacteristic, complemented
398#14273660C2311yescharacteristic, complemented
399#14273659C2311yescharacteristic, complemented
400#14273659C2311yescharacteristic, complemented
401#14273658C2311yescharacteristic, complemented
402#14273658C2311yescharacteristic, complemented
403C4⋊(C59⋊C8)C2311yescharacteristic, complemented
404Dic59⋊C8C2311yescharacteristic, complemented
405Dic59⋊C8C2311yescharacteristic, complemented
406#14273652C2311yescharacteristic, complemented
407#14273652C2311yescharacteristic, complemented
408#14273652C2311yescharacteristic, complemented
409#14273652C2311yescharacteristic, complemented
410#14273651C2311yescharacteristic, complemented
411#14273651C2311yescharacteristic, complemented
412#14273651C2311yescharacteristic, complemented
413#14273651C2311yescharacteristic, complemented
414#14273650C2311yescharacteristic, complemented
415#14273650C2311yescharacteristic, complemented
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic, complemented
429#14273648C2311yescharacteristic, complemented
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic, complemented
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic, complemented
441(C2×D59)⋊C8C2311yescharacteristic, complemented
442C4×C59⋊C8C2311yescharacteristic, complemented
443C8×Dic59C2311yescharacteristic, complemented
444C8×Dic59C2311yescharacteristic, complemented
445C2×#41×C59C2311yescharacteristic
446C2×#41×C59C2311yescharacteristic, complemented
447C22×D4×C59C2311yescharacteristic
448C22×D4×C59C2311yescharacteristic
449#135×C59—42no—
450C2×Q16×C59C2311yescharacteristic, complemented
451C2×SD16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic, complemented
454C2×SD16×C59C2311yescharacteristic, complemented
455C2×D8×C59—42no—
456C2×D8×C59C2311yescharacteristic
457C2×D8×C59C2311yescharacteristic
458C2×D8×C59C2311yescharacteristic
459C2×D8×C59C2311yescharacteristic
460C22×C8×C59C2311yescharacteristic
461C22×C8×C59C2311yescharacteristic, complemented
462#124×C59C2311yescharacteristic
463#124×C59C2311yescharacteristic, complemented
464#123×C59—21no—
465#123×C59—21no—
466C22⋊Q8×C59C2311yescharacteristic
467C22⋊Q8×C59C2311yescharacteristic
468#121×C59—21no—
469#121×C59—21no—
470#121×C59C2311yescharacteristic
471#121×C59C2311yescharacteristic, complemented
472#120×C59—21no—
473#120×C59—21no—
474C4×D4×C59C2311yescharacteristic
475C4×D4×C59C2311yescharacteristic
476C4×D4×C59C2311yescharacteristic, complemented
477C2×C22⋊C4×C59—21no—
478C2×C22⋊C4×C59—21no—
479#107×C59C2311yescharacteristic, complemented
480C4⋊C8×C59C2311yescharacteristic, complemented
481#103×C59C2311yescharacteristic, complemented
482#103×C59C2311yescharacteristic, complemented
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic, complemented
486#102×C59C2311yescharacteristic, complemented
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic, complemented
489C4×C8×C59C2311yescharacteristic, complemented
490C24×C59—21no—
491C24×C59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496C23×D59—21no—
497C23×D59—44no—
498C23×D59—44no—
499C23×D59—82no—
500C23×D59C2×D411yescharacteristic
501C23×D59C2×D411yescharacteristic
502#41×C59—22no—
503#41×C59—41no—
504#41×C59—41no—
505#41×C59—41no—
506C2×Q8×C59C2411yescharacteristic
507C2×Q8×C59C2411yescharacteristic
508C2×D4×C59—22no—
509C2×D4×C59—21no—
510C2×D4×C59—21no—
511C2×D4×C59—21no—
512C2×D4×C59—21no—
513C2×D4×C59—21no—
514C2×D4×C59—21no—
515C2×D4×C59—41no—
516C2×D4×C59—41no—
517C2×D4×C59—41no—
518C2×D4×C59C2×D411yescharacteristic
519C2×D4×C59C2411yescharacteristic
520C2×D4×C59C2411yescharacteristic
521C2×D4×C59C2411yescharacteristic
522C2×D4×C59C2411yescharacteristic
523C22×C4×C59—21no—
524C22×C4×C59—21no—
525C22×C4×C59—21no—
526C22×C4×C59—21no—
527C22×C4×C59C2411yescharacteristic
528C22×C4×C59C2411yescharacteristic
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—21no—
539C2×C22⋊D59—21no—
540C2×C22⋊D59—21no—
541C2×C22⋊D59—21no—
542C2×C22⋊D59—21no—
543C2×C22⋊D59—44no—
544C2×C22⋊D59—44no—
545C2×C22⋊D59C2×D411yescharacteristic
546C2×C22⋊D59C2×D411yescharacteristic
547C22×Dic59—21no—
548C22×Dic59—21no—
549C22×Dic59—21no—
550C22×Dic59—21no—
551C22×Dic59—21no—
552C22×Dic59C2×D411yescharacteristic
553C22×Dic59C2×D411yescharacteristic
554#11745689—22no—
555#11745689—41no—
556Q8×D59—41no—
557Q8×D59—41no—
558Q8×D59—41no—
559Q8×D59—41no—
560#11745687—22no—
561#11745687—41no—
562#11745687—41no—
563#11745687—41no—
564#11745687—44no—
565D4×D59—24no—
566D4×D59—22no—
567D4×D59—22no—
568D4×D59—22no—
569D4×D59—22no—
570D4×D59—41no—
571D4×D59—41no—
572D4×D59—41no—
573D4×D59—41no—
574D4×D59—44no—
575D4×D59—44no—
576D4×D59—44no—
577D4×D59—82no—
578#11745685—22no—
579#11745685—41no—
580#11745685—44no—
581C2×D236—22no—
582C2×D236—21no—
583C2×D236—21no—
584C2×D236—21no—
585C2×D236—41no—
586C2×D236C2×D411yescharacteristic
587C2×D236C2411yescharacteristic
588C2×D236C2411yescharacteristic
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59—21no—
595C2×C4×D59—21no—
596C2×C4×D59—21no—
597C2×C4×D59—41no—
598C2×C4×D59—41no—
599C2×C4×D59—41no—
600C2×C4×D59—41no—
601C2×C4×D59—44no—
602C2×C4×D59—82no—
603C2×C4×D59C2×D411yescharacteristic
604C2×C4×D59C2×D411yescharacteristic
605C2×C4×D59C2×D411yescharacteristic
606C2×C4×D59C2×D411yescharacteristic
607C2×C4×D59C2×D411yescharacteristic
608C2×C4×D59C2×D411yescharacteristic
609C2×C4×D59C2411yescharacteristic
610C2×C4×D59C2411yescharacteristic
611C2×C4×D59C2411yescharacteristic
612C2×Dic118—21no—
613C2×Dic118—21no—
614C2×Dic118C2411yescharacteristic
615C2×Dic118C2411yescharacteristic
616Q16×C59—41no—
617SD16×C59—22no—
618SD16×C59—41no—
619SD16×C59—41no—
620SD16×C59—41no—
621D8×C59—22no—
622D8×C59—22no—
623D8×C59—41no—
624D8×C59—41no—
625C2×C8×C59—41no—
626C2×C8×C59—41no—
627C2×C8×C59C2411yescharacteristic
628C2×C8×C59C2411yescharacteristic
629C2×C8×C59C2411yescharacteristic
630C2×C8×C59C2411yescharacteristic
631C4⋊C4×C59—21no—
632C4⋊C4×C59—21no—
633C4⋊C4×C59C2×D411yescharacteristic
634C4⋊C4×C59C2411yescharacteristic
635C4⋊C4×C59C2411yescharacteristic
636C22⋊C4×C59—21no—
637C22⋊C4×C59—21no—
638C22⋊C4×C59—21no—
639C22⋊C4×C59—21no—
640C22⋊C4×C59—21no—
641C22⋊C4×C59—21no—
642C22⋊C4×C59—21no—
643C22⋊C4×C59—21no—
644C22⋊C4×C59—21no—
645C22⋊C4×C59—21no—
646C22⋊C4×C59C2×D411yescharacteristic
647C22⋊C4×C59C2×D411yescharacteristic
648C42×C59C2411yescharacteristic
649C22⋊Dic59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59—21no—
652C22⋊Dic59—21no—
653C22⋊Dic59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59—21no—
657C22⋊Dic59—21no—
658C22⋊Dic59—21no—
659C22⋊Dic59—21no—
660C22⋊Dic59—21no—
661C22⋊Dic59—21no—
662C22⋊Dic59—21no—
663C22⋊Dic59—21no—
664C22⋊Dic59—21no—
665C22⋊Dic59C2×D411yescharacteristic
666C22⋊Dic59C2×D411yescharacteristic
667#11745672—41no—
668#11745672—41no—
669#11745671—22no—
670#11745671—41no—
671#11745670—22no—
672#11745670—41no—
673#11745670—41no—
674#11745670—41no—
675#11745669—22no—
676#11745669—22no—
677#11745669—41no—
678#11745669—41no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4—21no—
693(C2×D59)⋊C4C2×D411yescharacteristic
694(C2×D59)⋊C4C2×D411yescharacteristic
695(C2×D59)⋊C4C2×D411yescharacteristic
696(C2×D59)⋊C4C2×D411yescharacteristic
697C4⋊Dic59—21no—
698C4⋊Dic59—21no—
699C4⋊Dic59—21no—
700C4⋊Dic59—21no—
701C4⋊Dic59—21no—
702C4⋊Dic59C2×D411yescharacteristic
703C4⋊Dic59C2411yescharacteristic
704C4⋊Dic59C2411yescharacteristic
705C4⋊Dic59C2411yescharacteristic
706C4⋊Dic59C2411yescharacteristic
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4—21no—
718Dic59⋊C4—21no—
719Dic59⋊C4C2×D411yescharacteristic
720Dic59⋊C4C2×D411yescharacteristic
721C4×Dic59—21no—
722C4×Dic59—21no—
723C4×Dic59—21no—
724C4×Dic59—21no—
725C4×Dic59C2×D411yescharacteristic
726C4×Dic59C2×D411yescharacteristic
727C4×Dic59C2411yescharacteristic
728C2×C59⋊C8—41no—
729C2×C59⋊C8—41no—
730C2×C59⋊C8C2411yescharacteristic
731C2×C59⋊C8C2411yescharacteristic
732C2×C59⋊C8C2411yescharacteristic
733C2×C59⋊C8C2411yescharacteristic
734Dic236—41no—
735#11745660—22no—
736#11745660—41no—
737C8×D59—41no—
738C8×D59—41no—
739C8×D59—41no—
740C8×D59—41no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59—21no—
744C23×C59—21no—
745C23×C59—42no—
746C23×C59—42no—
747C23×C59—42no—
748C23×C59—81no—
749C23×C59—81no—
750C23×C59—81no—
751C23×C59C22×D411yescharacteristic
752C23×C59C22×D411yescharacteristic
753C22×D59—24no—
754C22×D59—21no—
755C22×D59—22no—
756C22×D59—21no—
757C22×D59—41no—
758C22×D59—41no—
759C22×D59—41no—
760C22×D59—41no—
761C22×D59—42no—
762C22×D59—42no—
763C22×D59—42no—
764C22×D59—42no—
765C22×D59—42no—
766C22×D59—42no—
767C22×D59—42no—
768C22×D59—42no—
769C22×D59—42no—
770C22×D59—42no—
771C22×D59—42no—
772C22×D59—81no—
773C22×D59—81no—
774C22×D59—81no—
775C22×D59—816no—
776C22×D59#13514yescomplemented
777C22×D59C22×D411yescharacteristic
778C22×D59C22×D411yescharacteristic
779C22×D59C22×D411yescharacteristic
780Q8×C59—21no—
781Q8×C59—21no—
782Q8×C59—21no—
783Q8×C59—21no—
784D4×C59—22no—
785D4×C59—21no—
786D4×C59—21no—
787D4×C59—21no—
788D4×C59—21no—
789D4×C59—21no—
790D4×C59—21no—
791D4×C59—21no—
792D4×C59—42no—
793D4×C59—42no—
794D4×C59—81no—
795D4×C59—81no—
796D4×C59—81no—
797D4×C59—81no—
798D4×C59H(5,𝔽2)12yes—
799C2×C4×C59—21no—
800C2×C4×C59—21no—
801C2×C4×C59—21no—
802C2×C4×C59—21no—
803C2×C4×C59—21no—
804C2×C4×C59—21no—
805C2×C4×C59—21no—
806C2×C4×C59—21no—
807C2×C4×C59—42no—
808C2×C4×C59—81no—
809C2×C4×C59—81no—
810C2×C4×C59—81no—
811C2×C4×C59C22×D411yescharacteristic
812C2×C4×C59C22×D411yescharacteristic
813C2×C4×C59C22×D411yescharacteristic
814C2×C4×C59C22×D411yescharacteristic
815C2×C4×C59C2511yescharacteristic
816C22⋊D59—24no—
817C22⋊D59—22no—
818C22⋊D59—22no—
819C22⋊D59—42no—
820C22⋊D59—42no—
821C22⋊D59—42no—
822C22⋊D59—42no—
823C22⋊D59—42no—
824C22⋊D59—42no—
825C22⋊D59—42no—
826C22⋊D59—42no—
827C22⋊D59—42no—
828C22⋊D59—81no—
829C22⋊D59—81no—
830C22⋊D59—81no—
831C22⋊D59—81no—
832C2×Dic59—21no—
833C2×Dic59—21no—
834C2×Dic59—21no—
835C2×Dic59—21no—
836C2×Dic59—21no—
837C2×Dic59—21no—
838C2×Dic59—41no—
839C2×Dic59—41no—
840C2×Dic59—42no—
841C2×Dic59—42no—
842C2×Dic59—81no—
843C2×Dic59—81no—
844C2×Dic59—81no—
845C2×Dic59C22×D411yescharacteristic
846C2×Dic59C22×D411yescharacteristic
847C2×Dic59C22×D411yescharacteristic
848C2×Dic59C22×D411yescharacteristic
849C2×Dic59C22×D411yescharacteristic
850D236—22no—
851D236—21no—
852D236—21no—
853D236—21no—
854D236—42no—
855D236—42no—
856D236—81no—
857D236H(5,𝔽2)12yes—
858C4×D59—22no—
859C4×D59—21no—
860C4×D59—21no—
861C4×D59—21no—
862C4×D59—21no—
863C4×D59—21no—
864C4×D59—21no—
865C4×D59—41no—
866C4×D59—41no—
867C4×D59—41no—
868C4×D59—41no—
869C4×D59—41no—
870C4×D59—42no—
871C4×D59—42no—
872C4×D59—42no—
873C4×D59—42no—
874C4×D59—81no—
875C4×D59—81no—
876C4×D59—81no—
877C4×D59—81no—
878Dic118—21no—
879Dic118—21no—
880Dic118—21no—
881Dic118—21no—
882Dic118—42no—
883Dic118—81no—
884C8×C59—21no—
885C8×C59—21no—
886C8×C59—21no—
887C8×C59—21no—
888C59⋊C8—21no—
889C59⋊C8—21no—
890C59⋊C8—21no—
891C59⋊C8—21no—
892#61561—591nomaximal, Sylow
893C22×C59—21no—
894C22×C59—21no—
895C22×C59—21no—
896C22×C59—22no—
897C22×C59—21no—
898C22×C59—21no—
899C22×C59—41no—
900C22×C59—41no—
901C22×C59—41no—
902C22×C59—41no—
903C22×C59—41no—
904C22×C59—41no—
905C22×C59—41no—
906C22×C59—41no—
907C22×C59—41no—
908C22×C59—41no—
909C22×C59—41no—
910C22×C59—84no—
911C22×C59—162no—
912C22×C59C2×#13512yes—
913C22×C59C23×D411yescharacteristic
914C2×D59—21no—
915C2×D59—21no—
916C2×D59—21no—
917C2×D59—21no—
918C2×D59—21no—
919C2×D59—21no—
920C2×D59—22no—
921C2×D59—21no—
922C2×D59—44no—
923C2×D59—48no—
924C2×D59—41no—
925C2×D59—41no—
926C2×D59—41no—
927C2×D59—41no—
928C2×D59—41no—
929C2×D59—82no—
930C2×D59—84no—
931C2×D59—84no—
932C2×D59—84no—
933C2×D59—84no—
934C2×D59C2×#13512yes—
935C2×D59C2×#13512yes—
936C4×C59—21no—
937C4×C59—21no—
938C4×C59—21no—
939C4×C59—21no—
940C4×C59—41no—
941C4×C59—41no—
942C4×C59—41no—
943C4×C59—41no—
944C4×C59C2×H(5,𝔽2)11yescharacteristic
945C4×C59C2×H(5,𝔽2)11yescharacteristic
946Dic59—21no—
947Dic59—21no—
948Dic59—21no—
949Dic59—21no—
950Dic59—21no—
951Dic59—41no—
952Dic59—41no—
953Dic59—41no—
954Dic59—41no—
955Dic59—41no—
956Dic59—41no—
957#3505—591no—
958C2×#546—591no—
959#3297—591no—
960#3297—591no—
961#3297—591no—
962#3297—591no—
963#3296—591no—
964#3296—591no—
965#3296—591no—
966#3296—591no—
967#3282—591no—
968#3282—591no—
969#3282—591no—
970#3282—591no—
971#3280—591no—
972#3280—591no—
973#3280—591no—
974#3280D5911yescharacteristic, complemented
975#3211—591no—
976#3211—591no—
977#3189—591no—
978#3188—591no—
979#3188—591no—
980#3187—591no—
981#3105—591no—
982#3105—591no—
983#3002—591no—
984#3002—591no—
985C2×#450—591no—
986C2×#447—591no—
987#2972—591no—
988C2×C59—22no—
989C2×C59—42no—
990C2×C59—41no—
991C2×C59—81no—
992C2×C59—81no—
993C2×C59—81no—
994C2×C59#348411yescharacteristic
995C2×C59C22×#13511yescharacteristic
996C2×C59#358511yescharacteristic
997D59—22no—
998D59—22no—
999D59—41no—
1000D59—42no—
1001D59—81no—
1002C22×#41—591no—
1003C23×D4—591no—
1004C2×#135—591no—
1005C2×#135—591no—
1006C2×#135—591no—
1007C2×#135C2×D5911yescharacteristic, complemented
1008C22×SD16—591no—
1009C22×SD16—591no—
1010C22×D8—591no—
1011C22×D8C2×D5911yescharacteristic, complemented
1012#553—591no—
1013#553—591no—
1014#553—1181no—
1015#553—1181no—
1016#552—591no—
1017#552—591no—
1018#551—1181no—
1019#551—1181no—
1020#548—591no—
1021#548—591no—
1022#546—591no—
1023#546—591no—
1024#546—591no—
1025#546—591no—
1026#546—591no—
1027#546—591no—
1028#546—591no—
1029#546—591no—
1030#546—1181no—
1031#546—1181no—
1032#546—1181no—
1033#546—1181no—
1034#546C2×D5911yescharacteristic
1035#546C2×D5911yescharacteristic, complemented
1036#539—1181no—
1037#538—1181no—
1038#534—1181no—
1039#529—591no—
1040#529—591no—
1041C2×#124—591no—
1042#525—591no—
1043#525—591no—
1044C2×#123—1181no—
1045C2×C22⋊Q8—591no—
1046C2×C22⋊Q8—591no—
1047C2×#121—591no—
1048C2×#121—591no—
1049C2×#121—1181no—
1050C2×#120—1181no—
1051#518—1181no—
1052C2×C4×D4—591no—
1053C2×C4×D4—591no—
1054C22×C22⋊C4—1181no—
1055#495—591no—
1056#495—591no—
1057#495—591no—
1058#495C2×D5911yescharacteristic, complemented
1059#488—591no—
1060#488—591no—
1061#488—591no—
1062#488—591no—
1063#484—591no—
1064#484—591no—
1065#484—591no—
1066#484—591no—
1067#483—591no—
1068#483—591no—
1069#482—591no—
1070#482—591no—
1071#482—591no—
1072#482—591no—
1073#481—591no—
1074#481—591no—
1075#478—591no—
1076#478—591no—
1077#478—591no—
1078#478—591no—
1079#467—591no—
1080#467—591no—
1081#467—591no—
1082#467C2×D5911yescharacteristic, complemented
1083#466—591no—
1084#466—591no—
1085#466—591no—
1086#466C2×D5911yescharacteristic, complemented
1087#465—591no—
1088#465—591no—
1089#465—591no—
1090#465—591no—
1091#465—591no—
1092#465—591no—
1093#465—591no—
1094#465—591no—
1095#464—591no—
1096#464—591no—
1097#464—591no—
1098#464—591no—
1099#463—591no—
1100#463—591no—
1101#463—591no—
1102#463—591no—
1103#463—591no—
1104#463—591no—
1105#463C2×D5911yescharacteristic, complemented
1106#463C2×D5911yescharacteristic, complemented
1107#452—591no—
1108#452—591no—
1109#452—591no—
1110#452—591no—
1111#451—591no—
1112#451—591no—
1113#451—591no—
1114#451—591no—
1115#450—591no—
1116#450—591no—
1117#450—591no—
1118#450—591no—
1119#450—591no—
1120#450—591no—
1121#450—591no—
1122#450—591no—
1123#450C2×D5911yescharacteristic, complemented
1124#450C2×D5911yescharacteristic, complemented
1125#449—591no—
1126#449—591no—
1127#449—591no—
1128#449—591no—
1129#449—591no—
1130#449—591no—
1131#449C2×D5911yescharacteristic, complemented
1132#449C2×D5911yescharacteristic, complemented
1133#448—591no—
1134#448—591no—
1135#447—591no—
1136#447—591no—
1137#447—591no—
1138#447—591no—
1139#447—591no—
1140#447—591no—
1141#447—591no—
1142#447—591no—
1143C4×SD16—591no—
1144C4×SD16—591no—
1145C4×SD16—591no—
1146C4×SD16—591no—
1147C4×D8—591no—
1148C4×D8—591no—
1149C4×D8—591no—
1150C4×D8C2×D5911yescharacteristic, complemented
1151C8×D4—591no—
1152C8×D4—591no—
1153C8×D4—591no—
1154C8×D4—591no—
1155C8×D4—591no—
1156C8×D4—591no—
1157C8×D4—591no—
1158C8×D4C2×D5911yescharacteristic, complemented
1159#431—591no—
1160#431—591no—
1161#416—591no—
1162#416—591no—
1163#416—591no—
1164#416—591no—
1165C2×#102—591no—
1166C2×#102—591no—
1167C2×#102—591no—
1168C2×#102—591no—
1169C2×C22⋊C8—591no—
1170C2×C22⋊C8—591no—
1171C2×C22⋊C8—591no—
1172C2×C22⋊C8—591no—
1173C59#6156111yescharacteristic, complemented, Sylow
1174C25—1181no—
1175C2×#41—591no—
1176C2×#41—591no—
1177C2×#41—591no—
1178C2×#41—591no—
1179C2×#41—1181no—
1180C2×#41—1181no—
1181C2×#41—2362no—
1182C2×#41—2362no—
1183C2×#41C22×D5911yescharacteristic
1184C2×#41C22×D5911yescharacteristic, complemented
1185C22×Q8—591no—
1186C22×Q8—591no—
1187C22×D4—591no—
1188C22×D4—591no—
1189C22×D4—591no—
1190C22×D4—591no—
1191C22×D4—591no—
1192C22×D4—591no—
1193C22×D4—1181no—
1194C22×D4—1181no—
1195C22×D4—1181no—
1196C22×D4—1181no—
1197C22×D4—1181no—
1198C22×D4—1181no—
1199C22×D4—2362no—
1200C22×D4—2362no—
1201C22×D4C22×D5911yescharacteristic
1202C22×D4C22×D5911yescharacteristic
1203C23×C4—591no—
1204C23×C4—591no—
1205C23×C4—1181no—
1206C23×C4—1181no—
1207#135—42no—
1208#135—2362no—
1209#135—2362no—
1210#135—2362no—
1211C2×Q16—591no—
1212C2×Q16—591no—
1213C2×Q16—591no—
1214C2×Q16C22×D5911yescharacteristic, complemented
1215C2×SD16—591no—
1216C2×SD16—591no—
1217C2×SD16—591no—
1218C2×SD16—591no—
1219C2×SD16—591no—
1220C2×SD16—591no—
1221C2×SD16—591no—
1222C2×SD16—591no—
1223C2×SD16—2362no—
1224C2×SD16—2362no—
1225C2×SD16C22×D5911yescharacteristic
1226C2×SD16C22×D5911yescharacteristic
1227C2×SD16C22×D5911yescharacteristic, complemented
1228C2×SD16C22×D5911yescharacteristic, complemented
1229C2×D8—42no—
1230C2×D8—591no—
1231C2×D8—591no—
1232C2×D8—591no—
1233C2×D8—591no—
1234C2×D8—2362no—
1235C2×D8C22×D5911yescharacteristic
1236C2×D8C22×D5911yescharacteristic
1237C2×D8C22×D5911yescharacteristic
1238C2×D8C22×D5911yescharacteristic
1239C22×C8—591no—
1240C22×C8—591no—
1241C22×C8—591no—
1242C22×C8—591no—
1243C22×C8—591no—
1244C22×C8—591no—
1245C22×C8C22×D5911yescharacteristic
1246C22×C8C22×D5911yescharacteristic, complemented
1247#126—1181no—
1248#126—1181no—
1249#126—1181no—
1250#126—1181no—
1251#126—1181no—
1252#126—1181no—
1253#125—591no—
1254#125—591no—
1255#125—1181no—
1256#125—1181no—
1257#124—591no—
1258#124—591no—
1259#124—591no—
1260#124—591no—
1261#124—1181no—
1262#124—1181no—
1263#124—1181no—
1264#124—1181no—
1265#124C22×D5911yescharacteristic
1266#124C22×D5911yescharacteristic, complemented
1267#123—21no—
1268#123—21no—
1269#123—1181no—
1270#123—1181no—
1271#123—1181no—
1272#123—1181no—
1273#123—1181no—
1274#123—1181no—
1275#123—1181no—
1276#123—1181no—
1277#123—1181no—
1278#123—1181no—
1279#123—1181no—
1280#123—1181no—
1281#123—1181no—
1282#123—1181no—
1283#123—1181no—
1284#123—1181no—
1285C22⋊Q8—591no—
1286C22⋊Q8—591no—
1287C22⋊Q8—591no—
1288C22⋊Q8—591no—
1289C22⋊Q8—591no—
1290C22⋊Q8—591no—
1291C22⋊Q8—591no—
1292C22⋊Q8—591no—
1293C22⋊Q8—1181no—
1294C22⋊Q8—1181no—
1295C22⋊Q8—1181no—
1296C22⋊Q8—1181no—
1297C22⋊Q8—1181no—
1298C22⋊Q8—1181no—
1299C22⋊Q8C22×D5911yescharacteristic
1300C22⋊Q8C22×D5911yescharacteristic
1301#121—21no—
1302#121—21no—
1303#121—591no—
1304#121—591no—
1305#121—591no—
1306#121—591no—
1307#121—591no—
1308#121—591no—
1309#121—591no—
1310#121—591no—
1311#121—1181no—
1312#121—1181no—
1313#121—1181no—
1314#121—1181no—
1315#121—1181no—
1316#121—1181no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121C22×D5911yescharacteristic
1328#121C22×D5911yescharacteristic, complemented
1329#120—21no—
1330#120—21no—
1331#120—1181no—
1332#120—1181no—
1333#120—1181no—
1334#120—1181no—
1335#120—1181no—
1336#120—1181no—
1337#120—1181no—
1338#120—1181no—
1339#120—1181no—
1340#120—1181no—
1341C4×Q8—591no—
1342C4×Q8—591no—
1343C4×D4—591no—
1344C4×D4—591no—
1345C4×D4—591no—
1346C4×D4—591no—
1347C4×D4—591no—
1348C4×D4—591no—
1349C4×D4—591no—
1350C4×D4—591no—
1351C4×D4—591no—
1352C4×D4—591no—
1353C4×D4—591no—
1354C4×D4—1181no—
1355C4×D4—1181no—
1356C4×D4—1181no—
1357C4×D4—1181no—
1358C4×D4—1181no—
1359C4×D4—1181no—
1360C4×D4—1181no—
1361C4×D4—1181no—
1362C4×D4—1181no—
1363C4×D4—1181no—
1364C4×D4—1181no—
1365C4×D4—1181no—
1366C4×D4C22×D5911yescharacteristic
1367C4×D4C22×D5911yescharacteristic
1368C4×D4C22×D5911yescharacteristic, complemented
1369#117—591no—
1370#117—591no—
1371#117—1181no—
1372#117—1181no—
1373#117—1181no—
1374#117—1181no—
1375C2×C4⋊C4—591no—
1376C2×C4⋊C4—591no—
1377C2×C4⋊C4—591no—
1378C2×C4⋊C4—591no—
1379C2×C4⋊C4—1181no—
1380C2×C4⋊C4—1181no—
1381C2×C22⋊C4—21no—
1382C2×C22⋊C4—21no—
1383C2×C22⋊C4—591no—
1384C2×C22⋊C4—591no—
1385C2×C22⋊C4—1181no—
1386C2×C22⋊C4—1181no—
1387C2×C22⋊C4—1181no—
1388C2×C22⋊C4—1181no—
1389C2×C22⋊C4—1181no—
1390C2×C22⋊C4—1181no—
1391C2×C22⋊C4—1181no—
1392C2×C22⋊C4—1181no—
1393C2×C22⋊C4—1181no—
1394C2×C22⋊C4—1181no—
1395C2×C22⋊C4—1181no—
1396C2×C22⋊C4—1181no—
1397C2×C22⋊C4—1181no—
1398C2×C22⋊C4—1181no—
1399C2×C22⋊C4—1181no—
1400C2×C42—591no—
1401#107—591no—
1402#107—591no—
1403#107—591no—
1404#107C22×D5911yescharacteristic, complemented
1405#106—591no—
1406#106—591no—
1407#106—591no—
1408#106—591no—
1409C4⋊C8—591no—
1410C4⋊C8—591no—
1411C4⋊C8—591no—
1412C4⋊C8C22×D5911yescharacteristic, complemented
1413#103—591no—
1414#103—591no—
1415#103—591no—
1416#103—591no—
1417#103—591no—
1418#103—591no—
1419#103—591no—
1420#103—591no—
1421#103—591no—
1422#103—591no—
1423#103C22×D5911yescharacteristic, complemented
1424#103C22×D5911yescharacteristic, complemented
1425#102—591no—
1426#102—591no—
1427#102—591no—
1428#102—591no—
1429#102—591no—
1430#102—591no—
1431#102—591no—
1432#102—591no—
1433#102—591no—
1434#102—591no—
1435#102—591no—
1436#102—591no—
1437#102—591no—
1438#102—591no—
1439#102—591no—
1440#102—591no—
1441#102C22×D5911yescharacteristic
1442#102C22×D5911yescharacteristic
1443#102C22×D5911yescharacteristic, complemented
1444#102C22×D5911yescharacteristic, complemented
1445C22⋊C8—591no—
1446C22⋊C8—591no—
1447C22⋊C8—591no—
1448C22⋊C8—591no—
1449C22⋊C8—591no—
1450C22⋊C8—591no—
1451C22⋊C8—591no—
1452C22⋊C8—591no—
1453C22⋊C8—591no—
1454C22⋊C8—591no—
1455C22⋊C8C22×D5911yescharacteristic
1456C22⋊C8C22×D5911yescharacteristic, complemented
1457C4×C8—591no—
1458C4×C8—591no—
1459C4×C8—591no—
1460C4×C8C22×D5911yescharacteristic, complemented
1461C24—21no—
1462C24—21no—
1463C24—591no—
1464C24—591no—
1465C24—1181no—
1466C24—1181no—
1467C24—1181no—
1468C24—1181no—
1469C24—1181no—
1470C24—4722no—
1471C24—2364no—
1472C24—2364no—
1473#41—22no—
1474#41—41no—
1475#41—41no—
1476#41—41no—
1477#41—1182no—
1478#41—1182no—
1479#41—1182no—
1480#41—2361no—
1481#41—2364no—
1482#41—2361no—
1483#41—2361no—
1484#41—2361no—
1485#41—2361no—
1486#41—2364no—
1487C2×Q8—591no—
1488C2×Q8—591no—
1489C2×Q8—1181no—
1490C2×Q8—1181no—
1491C2×Q8—2361no—
1492C2×Q8—2361no—
1493C2×Q8—2361no—
1494C2×Q8—2361no—
1495C2×Q8C23×D5911yescharacteristic
1496C2×Q8C23×D5911yescharacteristic
1497C2×D4—22no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—41no—
1505C2×D4—41no—
1506C2×D4—41no—
1507C2×D4—591no—
1508C2×D4—591no—
1509C2×D4—591no—
1510C2×D4—591no—
1511C2×D4—591no—
1512C2×D4—1182no—
1513C2×D4—1181no—
1514C2×D4—1181no—
1515C2×D4—1181no—
1516C2×D4—1181no—
1517C2×D4—1181no—
1518C2×D4—1181no—
1519C2×D4—1182no—
1520C2×D4—1182no—
1521C2×D4—1184no—
1522C2×D4—1182no—
1523C2×D4—1182no—
1524C2×D4—1181no—
1525C2×D4—1181no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—4722no—
1536C2×D4—2361no—
1537C2×D4—2361no—
1538C2×D4—2361no—
1539C2×D4—2361no—
1540C2×D4—2361no—
1541C2×D4—2364no—
1542C2×D4—2364no—
1543C2×D4—2364no—
1544C2×D4—2364no—
1545C2×D4—2364no—
1546C2×D4D4×D5911yescharacteristic
1547C2×D4C23×D5911yescharacteristic
1548C2×D4C23×D5911yescharacteristic
1549C2×D4C23×D5911yescharacteristic
1550C2×D4C23×D5911yescharacteristic
1551C22×C4—21no—
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—591no—
1556C22×C4—591no—
1557C22×C4—591no—
1558C22×C4—591no—
1559C22×C4—591no—
1560C22×C4—591no—
1561C22×C4—591no—
1562C22×C4—591no—
1563C22×C4—591no—
1564C22×C4—591no—
1565C22×C4—591no—
1566C22×C4—1181no—
1567C22×C4—1181no—
1568C22×C4—1181no—
1569C22×C4—1181no—
1570C22×C4—1181no—
1571C22×C4—1181no—
1572C22×C4—1181no—
1573C22×C4—1181no—
1574C22×C4—1181no—
1575C22×C4—1181no—
1576C22×C4—1181no—
1577C22×C4—1181no—
1578C22×C4—1181no—
1579C22×C4—4722no—
1580C22×C4—2361no—
1581C22×C4—2361no—
1582C22×C4—2361no—
1583C22×C4—2361no—
1584C22×C4—2364no—
1585C22×C4C23×D5911yescharacteristic
1586C22×C4C23×D5911yescharacteristic
1587Q16—41no—
1588Q16—2361no—
1589Q16—2361no—
1590Q16—2361no—
1591SD16—22no—
1592SD16—41no—
1593SD16—41no—
1594SD16—41no—
1595SD16—1182no—
1596SD16—1182no—
1597SD16—1182no—
1598SD16—2361no—
1599SD16—2361no—
1600SD16—2361no—
1601SD16—2361no—
1602SD16—2361no—
1603D8—22no—
1604D8—22no—
1605D8—41no—
1606D8—41no—
1607D8—1182no—
1608D8—1182no—
1609D8—2361no—
1610D8—2361no—
1611C2×C8—41no—
1612C2×C8—41no—
1613C2×C8—591no—
1614C2×C8—591no—
1615C2×C8—591no—
1616C2×C8—591no—
1617C2×C8—2361no—
1618C2×C8—2361no—
1619C2×C8—2361no—
1620C2×C8—2361no—
1621C2×C8—2361no—
1622C2×C8—2361no—
1623C2×C8C23×D5911yescharacteristic
1624C2×C8C23×D5911yescharacteristic
1625C2×C8C23×D5911yescharacteristic
1626C2×C8C23×D5911yescharacteristic
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—591no—
1630C4⋊C4—591no—
1631C4⋊C4—591no—
1632C4⋊C4—591no—
1633C4⋊C4—591no—
1634C4⋊C4—591no—
1635C4⋊C4—591no—
1636C4⋊C4—1181no—
1637C4⋊C4—1181no—
1638C4⋊C4—1181no—
1639C4⋊C4—1181no—
1640C4⋊C4—1181no—
1641C4⋊C4—1181no—
1642C4⋊C4—1181no—
1643C4⋊C4—1181no—
1644C4⋊C4—1181no—
1645C4⋊C4—1181no—
1646C4⋊C4—1181no—
1647C4⋊C4—1181no—
1648C4⋊C4—1181no—
1649C4⋊C4—1181no—
1650C4⋊C4—1181no—
1651C4⋊C4—1181no—
1652C4⋊C4—1181no—
1653C4⋊C4D4×D5911yescharacteristic
1654C4⋊C4C23×D5911yescharacteristic
1655C4⋊C4C23×D5911yescharacteristic
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—591no—
1667C22⋊C4—591no—
1668C22⋊C4—591no—
1669C22⋊C4—591no—
1670C22⋊C4—591no—
1671C22⋊C4—591no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C22⋊C4—1181no—
1679C22⋊C4—1181no—
1680C22⋊C4—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4—1181no—
1683C22⋊C4—1181no—
1684C22⋊C4—1181no—
1685C22⋊C4—1181no—
1686C22⋊C4—1181no—
1687C22⋊C4—1181no—
1688C22⋊C4—1181no—
1689C22⋊C4—1181no—
1690C22⋊C4—1181no—
1691C22⋊C4—1181no—
1692C22⋊C4—1181no—
1693C22⋊C4—1181no—
1694C22⋊C4—1181no—
1695C22⋊C4—1181no—
1696C22⋊C4—1181no—
1697C22⋊C4—1181no—
1698C22⋊C4—1181no—
1699C22⋊C4—1181no—
1700C22⋊C4—1181no—
1701C22⋊C4—1181no—
1702C22⋊C4D4×D5911yescharacteristic
1703C22⋊C4D4×D5911yescharacteristic
1704C42—591no—
1705C42—591no—
1706C42—591no—
1707C42—1181no—
1708C42—1181no—
1709C42—1181no—
1710C42—1181no—
1711C42C23×D5911yescharacteristic
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—21no—
1716C23—42no—
1717C23—42no—
1718C23—42no—
1719C23—81no—
1720C23—81no—
1721C23—81no—
1722C23—591no—
1723C23—591no—
1724C23—594no—
1725C23—591no—
1726C23—1182no—
1727C23—1184no—
1728C23—1181no—
1729C23—1181no—
1730C23—4721no—
1731C23—4721no—
1732C23—4721no—
1733C23—47216no—
1734C23—2361no—
1735C23—2361no—
1736C23—2361no—
1737C23—2361no—
1738C23—2362no—
1739C23—2362no—
1740C23—2362no—
1741C23—2362no—
1742C23—2362no—
1743C23—2362no—
1744C23—2362no—
1745C23—2362no—
1746C23—2362no—
1747C23—2362no—
1748C23—2362no—
1749C23C2×D4×D5911yescharacteristic
1750C23C2×D4×D5911yescharacteristic
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—1181no—
1756Q8—1181no—
1757Q8—1181no—
1758Q8—1181no—
1759Q8—4721no—
1760Q8—2362no—
1761D4—22no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—42no—
1770D4—42no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—81no—
1775D4—592no—
1776D4—1182no—
1777D4—1182no—
1778D4—1184no—
1779D4—1182no—
1780D4—1181no—
1781D4—1181no—
1782D4—1181no—
1783D4—4721no—
1784D4—4721no—
1785D4—4721no—
1786D4—4721no—
1787D4—4721no—
1788D4—2362no—
1789D4—2362no—
1790D4—2362no—
1791D4—2362no—
1792D4—2362no—
1793D4—2362no—
1794D4—2362no—
1795D4—2362no—
1796D4—2362no—
1797D4—2362no—
1798D4—2362no—
1799D4#1427377212yes—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—42no—
1809C2×C4—81no—
1810C2×C4—81no—
1811C2×C4—81no—
1812C2×C4—591no—
1813C2×C4—591no—
1814C2×C4—591no—
1815C2×C4—591no—
1816C2×C4—591no—
1817C2×C4—1182no—
1818C2×C4—1181no—
1819C2×C4—1181no—
1820C2×C4—1181no—
1821C2×C4—1181no—
1822C2×C4—1181no—
1823C2×C4—1181no—
1824C2×C4—1181no—
1825C2×C4—1181no—
1826C2×C4—1181no—
1827C2×C4—1181no—
1828C2×C4—1181no—
1829C2×C4—1181no—
1830C2×C4—4721no—
1831C2×C4—4721no—
1832C2×C4—4721no—
1833C2×C4—4721no—
1834C2×C4—4721no—
1835C2×C4—4721no—
1836C2×C4—4721no—
1837C2×C4—2361no—
1838C2×C4—2361no—
1839C2×C4—2361no—
1840C2×C4—2361no—
1841C2×C4—2361no—
1842C2×C4—2362no—
1843C2×C4—2362no—
1844C2×C4—2362no—
1845C2×C4—2362no—
1846C2×C4—2361no—
1847C2×C4—2361no—
1848C2×C4—2362no—
1849C2×C4—2362no—
1850C2×C4C2×D4×D5911yescharacteristic
1851C2×C4C2×D4×D5911yescharacteristic
1852C2×C4C2×D4×D5911yescharacteristic
1853C2×C4C2×D4×D5911yescharacteristic
1854C2×C4C24×D5911yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—1181no—
1860C8—1181no—
1861C8—1181no—
1862C8—1181no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—22no—
1867C22—21no—
1868C22—21no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—84no—
1881C22—162no—
1882C22—592no—
1883C22—592no—
1884C22—1181no—
1885C22—1181no—
1886C22—1181no—
1887C22—1181no—
1888C22—1181no—
1889C22—1182no—
1890C22—1181no—
1891C22—1181no—
1892C22—4724no—
1893C22—4724no—
1894C22—4722no—
1895C22—4724no—
1896C22—4724no—
1897C22—2364no—
1898C22—2368no—
1899C22—2361no—
1900C22—2361no—
1901C22—2361no—
1902C22—2361no—
1903C22—2361no—
1904C22#135×D5912yes—
1905C22C22×D4×D5911yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—21no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—1181no—
1915C4—1181no—
1916C4—1181no—
1917C4—1181no—
1918C4—1181no—
1919C4—2361no—
1920C4—2361no—
1921C4—2361no—
1922C4—2361no—
1923C4—2361no—
1924C4—2361no—
1925C4H(5,𝔽2)×D5911yescharacteristic
1926C4C2×#1427377211yescharacteristic
1927C2—22no—
1928C2—41no—
1929C2—42no—
1930C2—81no—
1931C2—81no—
1932C2—81no—
1933C2—1182no—
1934C2—1182no—
1935C2—4721no—
1936C2—2361no—
1937C2—2362no—
1938C2#2143772411yescharacteristic
1939C2C2×#135×D5911yescharacteristic
1940C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3280C2
socleC22×C59C23×D4
hypercenter#3280D59
hypocenterC59#61561
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3280

Complements

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

NH ≅ G/Ntype
1. #21437923C2semidirect
2. #546×D59C2semidirect
3. #21435953C2semidirect
4. #21435951C2semidirect
5. #21435941C2semidirect
6. #21435939C2semidirect
7. #21435937C2semidirect
8. #21435935C2semidirect
9. #21435933C2semidirect
10. #21435931C2semidirect
11. #21435809C2semidirect
12. #21435806C2semidirect
13. #21435802C2semidirect
14. #21435797C2semidirect
15. #21435781C2semidirect
16. #21435777C2semidirect
17. #21435774C2semidirect
18. #21435059C2semidirect
19. #21435056C2semidirect
20. #21434867C2semidirect
21. #21434859C2semidirect
22. #21434856C2semidirect
23. #21434850C2semidirect
24. #21434142C2semidirect
25. #21434141C2semidirect
26. #21433311C2semidirect
27. #21433310C2semidirect
28. #450×D59C2semidirect
29. C2×#16837534C2semidirect
30. #21433117C2semidirect
31. C59×#3280C2semidirect
32. C2×#41×D59C22semidirect
34. C2×#14273748C22semidirect
35. C2×#14273747C22semidirect
36. C2×#14273746C22semidirect
37. C2×SD16×D59C22semidirect
38. C2×SD16×D59C22semidirect
39. C22×#11745669C22semidirect
40. #16838102C22semidirect
42. #16838099C22semidirect
44. #16838094C22semidirect
45. #16838092C22semidirect
48. #16838060C22semidirect
49. #16838059C22semidirect
50. #16838049C22semidirect
52. #16838047C22semidirect
54. #16838046C22semidirect
55. #16838045C22semidirect
60. #16838040C22semidirect
65. #16837934C22semidirect
66. #16837931C22semidirect
67. #124×D59C22semidirect
68. #16837912C22semidirect
69. #16837909C22semidirect
75. #121×D59C22semidirect
79. C4×D4×D59C22semidirect
81. #16837785C22semidirect
82. #16837784C22semidirect
83. #16837783C22semidirect
84. #16837758C22semidirect
85. #16837757C22semidirect
86. #16837756C22semidirect
87. #16837755C22semidirect
88. #16837739C22semidirect
89. #16837739C22semidirect
90. #16837736C22semidirect
91. #16837736C22semidirect
92. #16837733C22semidirect
93. #16837730C22semidirect
94. #16837729C22semidirect
95. #16837727C22semidirect
96. #16837725C22semidirect
97. #16837723C22semidirect
98. #16837719C22semidirect
99. #16837719C22semidirect
100. #16837705C22semidirect
101. #16837704C22semidirect
102. #16837703C22semidirect
103. #16837702C22semidirect
104. #16837643C22semidirect
105. #16837641C22semidirect
106. #16837641C22semidirect
107. #16837637C22semidirect
108. #16837636C22semidirect
109. #16837635C22semidirect
110. #16837634C22semidirect
111. #16837631C22semidirect
112. #16837630C22semidirect
113. #16837630C22semidirect
114. #16837629C22semidirect
115. #16837628C22semidirect
116. #16837628C22semidirect
117. #16837628C22semidirect
118. #16837626C22semidirect
119. #16837625C22semidirect
120. #16837622C22semidirect
121. #16837621C22semidirect
122. #16837619C22semidirect
123. #16837617C22semidirect
124. #16837616C22semidirect
125. #16837615C22semidirect
126. #16837615C22semidirect
127. #16837614C22semidirect
128. #16837566C22semidirect
129. #16837564C22semidirect
130. #16837563C22semidirect
131. #16837561C22semidirect
132. #16837559C22semidirect
133. #16837559C22semidirect
134. #16837556C22semidirect
135. #16837556C22semidirect
136. #16837555C22semidirect
137. #16837554C22semidirect
138. #16837554C22semidirect
139. #16837553C22semidirect
140. #16837553C22semidirect
141. #16837552C22semidirect
142. #16837551C22semidirect
143. #16837551C22semidirect
144. #16837548C22semidirect
145. #16837547C22semidirect
146. #16837546C22semidirect
147. #16837545C22semidirect
148. #16837544C22semidirect
149. #16837544C22semidirect
150. #16837539C22semidirect
151. #16837539C22semidirect
156. #16837534C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. C4×#11745660C22semidirect
161. SD16×Dic59C22semidirect
162. C4×#11745670C22semidirect
163. #16837487C22semidirect
164. D8×Dic59C22semidirect
165. C4×#11745669C22semidirect
166. #16837482C22semidirect
167. C8×D236C22semidirect
168. D4×C59⋊C8C22semidirect
169. #16837467C22semidirect
170. C8×C22⋊D59C22semidirect
171. C8×C22⋊D59C22semidirect
172. (C22⋊D59)⋊C8C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
174. #16837454C22semidirect
175. #16837453C22semidirect
176. #16837399C22semidirect
177. #16837398C22semidirect
178. #16837397C22semidirect
179. #16837395C22semidirect
180. C2×#14273649C22semidirect
181. C2×#14273648C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
185. C2×(C2×D59)⋊C8C22semidirect
187. C22⋊C8×D59C22semidirect
188. C2×#135×C59C22semidirect
189. C22×D8×C59C22semidirect
191. C59×#546C22semidirect
192. C59×#495C22semidirect
193. C59×#467C22semidirect
194. C59×#466C22semidirect
195. C59×#463C22semidirect
196. C59×#463C22semidirect
197. C59×#450C22semidirect
198. C59×#450C22semidirect
199. C59×#449C22semidirect
200. C59×#449C22semidirect
201. C4×D8×C59C22semidirect
202. C8×D4×C59C22semidirect
209. C2×#11745687C23semidirect
235. C2×Dic236C23semidirect
236. C2×#11745672C23semidirect
237. C2×#11745672C23semidirect
242. C2×#11745670C23semidirect
243. C2×#11745670C23semidirect
254. C22×C59⋊C8C23semidirect
257. C2×C8×D59C23semidirect
258. C2×C8×D59C23semidirect
265. #14273719C23semidirect
267. #14273718C23semidirect
273. #14273714C23semidirect
298. #14273706C23semidirect
306. #14273703C23semidirect
330. #14273698C23semidirect
341. Q8×Dic59C23semidirect
342. C4×Dic118C23semidirect
348. D4×Dic59C23semidirect
367. #14273686C23semidirect
368. #14273685C23semidirect
396. #14273661C23semidirect
397. #14273660C23semidirect
398. #14273660C23semidirect
399. #14273659C23semidirect
400. #14273659C23semidirect
401. #14273658C23semidirect
402. #14273658C23semidirect
403. C4⋊(C59⋊C8)C23semidirect
404. Dic59⋊C8C23semidirect
405. Dic59⋊C8C23semidirect
406. #14273652C23semidirect
407. #14273652C23semidirect
408. #14273652C23semidirect
409. #14273652C23semidirect
410. #14273651C23semidirect
411. #14273651C23semidirect
412. #14273651C23semidirect
413. #14273651C23semidirect
414. #14273650C23semidirect
415. #14273650C23semidirect
428. #14273648C23semidirect
429. #14273648C23semidirect
433. C22⋊(C59⋊C8)C23semidirect
440. (C2×D59)⋊C8C23semidirect
441. (C2×D59)⋊C8C23semidirect
442. C4×C59⋊C8C23semidirect
443. C8×Dic59C23semidirect
444. C8×Dic59C23semidirect
446. C2×#41×C59C23semidirect
450. C2×Q16×C59C23semidirect
453. C2×SD16×C59C23semidirect
454. C2×SD16×C59C23semidirect
461. C22×C8×C59C23semidirect
463. #124×C59C23semidirect
471. #121×C59C23semidirect
476. C4×D4×C59C23semidirect
479. #107×C59C23semidirect
480. C4⋊C8×C59C23semidirect
481. #103×C59C23semidirect
482. #103×C59C23semidirect
485. #102×C59C23semidirect
486. #102×C59C23semidirect
488. C22⋊C8×C59C23semidirect
489. C4×C8×C59C23semidirect
776. C22×D59#135semidirect
974. #3280D59semidirect
1007. C2×#135C2×D59semidirect
1011. C22×D8C2×D59semidirect
1035. #546C2×D59semidirect
1058. #495C2×D59semidirect
1082. #467C2×D59semidirect
1086. #466C2×D59semidirect
1105. #463C2×D59semidirect
1106. #463C2×D59semidirect
1123. #450C2×D59semidirect
1124. #450C2×D59semidirect
1131. #449C2×D59semidirect
1132. #449C2×D59semidirect
1150. C4×D8C2×D59semidirect
1158. C8×D4C2×D59semidirect
1173. C59#61561semidirect
1184. C2×#41C22×D59semidirect
1214. C2×Q16C22×D59semidirect
1227. C2×SD16C22×D59semidirect
1228. C2×SD16C22×D59semidirect
1246. C22×C8C22×D59semidirect
1266. #124C22×D59semidirect
1328. #121C22×D59semidirect
1368. C4×D4C22×D59semidirect
1404. #107C22×D59semidirect
1412. C4⋊C8C22×D59semidirect
1423. #103C22×D59semidirect
1424. #103C22×D59semidirect
1443. #102C22×D59semidirect
1444. #102C22×D59semidirect
1456. C22⋊C8C22×D59semidirect
1460. C4×C8C22×D59semidirect

Maximal subgroups

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

subgroupindex
#214379232
#546×D592
#214359532
#214359512
#214359412
#214359392
#214359372
#214359352
#214359332
#214359312
#214358092
#214358062
#214358022
#214357972
#214357812
#214357772
#214357742
#214350592
#214350562
#214348672
#214348592
#214348562
#214348502
#214341422
#214341412
#214333112
#214333102
#450×D592
C2×#168375342
#214331172
C59×#32802
#6156159