Finite Group Databasebeta

← #29474055

Subgroups — #29474055

Order 15104.

2250 conjugacy classes of subgroups.

The subgroup lattice has 1924 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438138C211yesmaximal, characteristic, complemented
2#546×D59C211yesmaximal, characteristic, complemented
3#21436319C211yesmaximal, characteristic, complemented
4#21436317C211yesmaximal, characteristic, complemented
5#21436138C211yesmaximal, characteristic, complemented
6#21436136C211yesmaximal, characteristic, complemented
7#21436063C211yesmaximal, characteristic, complemented
8#21436061C211yesmaximal, characteristic, complemented
9#21435933C211yesmaximal, characteristic, complemented
10#21435931C211yesmaximal, characteristic, complemented
11#21435804C211yesmaximal, characteristic, complemented
12#21435733C211yesmaximal, characteristic, complemented
13#21435726C211yesmaximal, characteristic, complemented
14#21435621C211yesmaximal, characteristic, complemented
15#21435614C211yesmaximal, characteristic, complemented
16#21435606C211yesmaximal, characteristic, complemented
17#21435599C211yesmaximal, characteristic, complemented
18#21435097C211yesmaximal, characteristic, complemented
19#21435056C211yesmaximal, characteristic, complemented
20#21434918C211yesmaximal, characteristic, complemented
21#21434908C211yesmaximal, characteristic, complemented
22#21434872C211yesmaximal, characteristic, complemented
23#21434848C211yesmaximal, characteristic, complemented
24#21434233C211yesmaximal, characteristic, complemented
25#21434102C211yesmaximal, characteristic, complemented
26#21433353C211yesmaximal, characteristic, complemented
27#21433320C211yesmaximal, characteristic, complemented
28#21433310C211yesmaximal, characteristic, complemented
29C2×#16837551C211yesmaximal, characteristic, complemented
30#21433129C211yesmaximal, characteristic, complemented
31C59×#3282C211yesmaximal, characteristic, complemented
32C2×#41×D59C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C2×#14273759C2211yescharacteristic, complemented
35C2×#14273756C2211yescharacteristic, complemented
36C2×#14273751C2211yescharacteristic, complemented
37C2×#14273751C2211yescharacteristic, complemented
38C2×#14273747C2211yescharacteristic, complemented
39C22×#11745671C2211yescharacteristic, complemented
40#16838123C2211yescharacteristic, complemented
41#16838106—21no—
42#16838093C2211yescharacteristic, complemented
43#16838092C2211yescharacteristic, complemented
44#16838082—21no—
45#16838081—21no—
46Q8×C22⋊D59C2211yescharacteristic, complemented
47#16838060C2211yescharacteristic, complemented
48#16838052C2211yescharacteristic, complemented
49#16838051C2211yescharacteristic, complemented
50#16838049C2211yescharacteristic
51#16838048C2211yescharacteristic
52#16838047C2211yescharacteristic
53#16838046C2211yescharacteristic
54#16838045C2211yescharacteristic
55#16838044—21no—
56#16838043C2211yescharacteristic
57#16838042—21no—
58#16838041—21no—
59#16838041—21no—
60#16838040C2211yescharacteristic
61#16838039—21no—
62#16838016—21no—
63#16837998—21no—
64#16837997—21no—
65#16837956C2211yescharacteristic, complemented
66#16837931C2211yescharacteristic, complemented
67#124×D59C2211yescharacteristic
68#16837912C2211yescharacteristic
69#16837909C2211yescharacteristic, complemented
70#123×D59—21no—
71C2×#14273703C2211yescharacteristic
72C22⋊Q8×D59C2211yescharacteristic
73C22⋊Q8×D59C2211yescharacteristic, complemented
74#121×D59—21no—
75#121×D59C2211yescharacteristic
76#120×D59—21no—
77#16837881—21no—
78C4×D4×D59C2211yescharacteristic
79C4×D4×D59C2211yescharacteristic
80C2×C22⋊C4×D59—21no—
81#16837795C2211yescharacteristic, complemented
82#16837793C2211yescharacteristic, complemented
83#16837784C2211yescharacteristic, complemented
84#16837763C2211yescharacteristic, complemented
85#16837760C2211yescharacteristic, complemented
86#16837757C2211yescharacteristic, complemented
87#16837756C2211yescharacteristic, complemented
88#16837746C2211yescharacteristic, complemented
89#16837742C2211yescharacteristic, complemented
90#16837734C2211yescharacteristic, complemented
91#16837733C2211yescharacteristic, complemented
92#16837731C2211yescharacteristic, complemented
93#16837731C2211yescharacteristic, complemented
94#16837730C2211yescharacteristic, complemented
95#16837727C2211yescharacteristic, complemented
96#16837723C2211yescharacteristic, complemented
97#16837722C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837703C2211yescharacteristic, complemented
101#16837702C2211yescharacteristic, complemented
102#16837691C2211yescharacteristic, complemented
103#16837690C2211yescharacteristic, complemented
104#16837659C2211yescharacteristic, complemented
105#16837659C2211yescharacteristic, complemented
106#16837657C2211yescharacteristic, complemented
107#16837657C2211yescharacteristic, complemented
108#16837654C2211yescharacteristic, complemented
109#16837652C2211yescharacteristic, complemented
110#16837651C2211yescharacteristic, complemented
111#16837645C2211yescharacteristic, complemented
112#16837643C2211yescharacteristic, complemented
113#16837641C2211yescharacteristic, complemented
114#16837633C2211yescharacteristic, complemented
115#16837631C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837629C2211yescharacteristic, complemented
118#16837626C2211yescharacteristic, complemented
119#16837625C2211yescharacteristic, complemented
120#16837624C2211yescharacteristic, complemented
121#16837622C2211yescharacteristic, complemented
122#16837621C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic, complemented
124#16837615C2211yescharacteristic, complemented
125#16837614C2211yescharacteristic, complemented
126#16837606C2211yescharacteristic, complemented
127#16837605C2211yescharacteristic, complemented
128#16837566C2211yescharacteristic, complemented
129#16837565C2211yescharacteristic, complemented
130#16837564C2211yescharacteristic, complemented
131#16837563C2211yescharacteristic, complemented
132#16837562C2211yescharacteristic, complemented
133#16837561C2211yescharacteristic, complemented
134#16837561C2211yescharacteristic, complemented
135#16837559C2211yescharacteristic, complemented
136#16837558C2211yescharacteristic, complemented
137#16837556C2211yescharacteristic, complemented
138#16837556C2211yescharacteristic, complemented
139#16837555C2211yescharacteristic, complemented
140#16837554C2211yescharacteristic
141#16837554C2211yescharacteristic
142#16837553C2211yescharacteristic, complemented
143#16837551C2211yescharacteristic
144#16837551C2211yescharacteristic
145#16837551C2211yescharacteristic
146#16837551C2211yescharacteristic
147#16837551C2211yescharacteristic, complemented
148#16837551C2211yescharacteristic, complemented
149#16837551C2211yescharacteristic, complemented
150#16837551C2211yescharacteristic, complemented
151#16837547C2211yescharacteristic, complemented
152#16837546C2211yescharacteristic, complemented
153#16837544C2211yescharacteristic, complemented
154#16837542C2211yescharacteristic, complemented
155#16837539C2211yescharacteristic, complemented
156#16837539C2211yescharacteristic, complemented
157#16837535C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic
159#16837534C2211yescharacteristic
160#16837514C2211yescharacteristic, complemented
161#16837511C2211yescharacteristic, complemented
162#16837505C2211yescharacteristic, complemented
163#16837503C2211yescharacteristic, complemented
164C4×#11745660C2211yescharacteristic, complemented
165C4×#11745671C2211yescharacteristic, complemented
166C4×#11745670C2211yescharacteristic, complemented
167#16837481C2211yescharacteristic, complemented
168#16837479C2211yescharacteristic, complemented
169#16837473C2211yescharacteristic, complemented
170#16837473C2211yescharacteristic, complemented
171#16837470C2211yescharacteristic, complemented
172#16837470C2211yescharacteristic, complemented
173D4×C59⋊C8C2211yescharacteristic, complemented
174#16837458C2211yescharacteristic, complemented
175#16837453C2211yescharacteristic, complemented
176#16837405C2211yescharacteristic, complemented
177#16837405C2211yescharacteristic, complemented
178#16837402C2211yescharacteristic, complemented
179#16837400C2211yescharacteristic, complemented
180#16837399C2211yescharacteristic, complemented
181#16837398C2211yescharacteristic, complemented
182C2×#14273649C2211yescharacteristic, complemented
183C2×#14273648C2211yescharacteristic, complemented
184#16837364C2211yescharacteristic
185#16837364C2211yescharacteristic, complemented
186C2×(C2×D59)⋊C8C2211yescharacteristic
187C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
188C2×#135×C59C2211yescharacteristic, complemented
189C22×SD16×C59C2211yescharacteristic, complemented
190C59×#548C2211yescharacteristic, complemented
191C59×#546C2211yescharacteristic
192C59×#495C2211yescharacteristic, complemented
193C59×#465C2211yescharacteristic, complemented
194C59×#465C2211yescharacteristic, complemented
195C59×#464C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#451C2211yescharacteristic, complemented
199C59×#449C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C4×SD16×C59C2211yescharacteristic, complemented
202C8×D4×C59C2211yescharacteristic, complemented
203C24×D59—21no—
204C2×#11745689C2311yescharacteristic
205C2×#11745685—21no—
206C2×#11745685C2311yescharacteristic
207C2×#11745687—21no—
208C2×#11745687—21no—
209C2×#11745687C2311yescharacteristic
210C2×#11745687C2311yescharacteristic
211#41×D59—42no—
212#41×D59—42no—
213C2×Q8×D59C2311yescharacteristic
214C2×Q8×D59C2311yescharacteristic, complemented
215C22×D236C2311yescharacteristic
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#14273759—42no—
233#14273756—42no—
234#14273751—42no—
235#14273751—42no—
236#14273747—42no—
237C2×Dic236C2311yescharacteristic, complemented
238C2×#11745672C2311yescharacteristic, complemented
239C2×#11745672C2311yescharacteristic, complemented
240C2×#11745672C2311yescharacteristic, complemented
241C2×#11745660C2311yescharacteristic
242C2×#11745660C2311yescharacteristic
243C2×#11745670C2311yescharacteristic
244C2×#11745670C2311yescharacteristic
245C2×#11745670C2311yescharacteristic, complemented
246C2×#11745671—42no—
247C2×#11745671C2311yescharacteristic
248C2×#11745671C2311yescharacteristic
249C2×#11745671C2311yescharacteristic
250C2×#11745671C2311yescharacteristic
251C2×#11745669C2311yescharacteristic
252C2×#11745669C2311yescharacteristic
253C2×#11745659C2311yescharacteristic
254C2×#11745659C2311yescharacteristic
255C2×#11745659C2311yescharacteristic, complemented
256C2×#11745659C2311yescharacteristic, complemented
257C22×C59⋊C8C2311yescharacteristic
258C22×C59⋊C8C2311yescharacteristic, complemented
259#14273726C2311yescharacteristic, complemented
260#14273725—21no—
261#14273725C2311yescharacteristic, complemented
262#14273722—21no—
263#14273721—21no—
264#14273720—21no—
265#14273720—21no—
266#14273720—21no—
267#14273719C2311yescharacteristic, complemented
268#14273717—21no—
269#14273717—21no—
270#14273717—21no—
271#14273716C2311yescharacteristic
272#14273715C2311yescharacteristic
273#14273714C2311yescharacteristic
274#14273713—21no—
275#14273713—21no—
276#14273713—21no—
277#14273713—21no—
278#14273712—21no—
279#14273712—21no—
280#14273712—21no—
281#14273711—21no—
282#14273710—21no—
283#14273710—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709—21no—
289#14273708—21no—
290#14273708—21no—
291#14273708—21no—
292#14273708—21no—
293#14273708—21no—
294#14273707C2311yescharacteristic
295#14273707C2311yescharacteristic
296#14273706—21no—
297#14273706C2311yescharacteristic
298#14273706C2311yescharacteristic
299#14273706C2311yescharacteristic, complemented
300#14273705—21no—
301#14273705—21no—
302#14273705—21no—
303#14273704—21no—
304#14273704—21no—
305#14273704—21no—
306#14273704—21no—
307#14273703—21no—
308#14273703—21no—
309#14273703—21no—
310#14273703C2311yescharacteristic
311#14273703C2311yescharacteristic
312#14273703C2311yescharacteristic
313#14273703C2311yescharacteristic
314#14273703C2311yescharacteristic
315#14273703C2311yescharacteristic, complemented
316#14273702—21no—
317#14273702C2311yescharacteristic
318#14273701—21no—
319#14273701C2311yescharacteristic
320#14273700—21no—
321#14273700—21no—
322#14273700—21no—
323#14273700—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273698—21no—
329#14273698C2311yescharacteristic
330#14273698C2311yescharacteristic
331#14273698C2311yescharacteristic, complemented
332#14273697—21no—
333#14273697—21no—
334#14273697—21no—
335#14273696—21no—
336#14273695—21no—
337#14273695—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341Q8×Dic59C2311yescharacteristic, complemented
342C4×Dic118—21no—
343C4×Dic118C2311yescharacteristic, complemented
344#14273692—21no—
345C4×D236C2311yescharacteristic
346C4×D236C2311yescharacteristic
347D4×Dic59—21no—
348D4×Dic59D411yescharacteristic
349D4×Dic59C2311yescharacteristic
350D4×Dic59C2311yescharacteristic, complemented
351#14273689D411yescharacteristic
352#14273689C2311yescharacteristic
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)⋊C4D411yescharacteristic
364(C22⋊D59)⋊C4D411yescharacteristic
365#14273686C2311yescharacteristic, complemented
366#14273685C2311yescharacteristic
367#14273684—21no—
368#14273684—21no—
369#14273683—21no—
370#14273683—21no—
371C2×C4⋊Dic59C2311yescharacteristic
372C2×Dic59⋊C4—21no—
373C2×Dic59⋊C4—21no—
374C4⋊C4×D59—21no—
375C4⋊C4×D59—21no—
376C4⋊C4×D59D411yescharacteristic
377C4⋊C4×D59C2311yescharacteristic
378C4⋊C4×D59C2311yescharacteristic, complemented
379C2×C22⋊Dic59—21no—
380C2×(C2×D59)⋊C4—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#14273659C2311yescharacteristic, complemented
399#14273659C2311yescharacteristic, complemented
400#14273658C2311yescharacteristic, 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#14273651C2311yescharacteristic, complemented
415#14273650C2311yescharacteristic, complemented
416#14273650C2311yescharacteristic, complemented
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
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
442#14273637C2311yescharacteristic, complemented
443#14273637C2311yescharacteristic, complemented
444C4×C59⋊C8C2311yescharacteristic, complemented
445C2×#41×C59C2311yescharacteristic
446C2×#41×C59C2311yescharacteristic, complemented
447C22×Q8×C59C2311yescharacteristic
448C22×D4×C59C2311yescharacteristic
449#135×C59—42no—
450C2×Q16×C59C2311yescharacteristic, complemented
451C2×Q16×C59C2311yescharacteristic, complemented
452C2×SD16×C59—42no—
453C2×SD16×C59C2311yescharacteristic
454C2×SD16×C59C2311yescharacteristic
455C2×SD16×C59C2311yescharacteristic
456C2×SD16×C59C2311yescharacteristic
457C2×SD16×C59C2311yescharacteristic, complemented
458C2×D8×C59C2311yescharacteristic
459C2×D8×C59C2311yescharacteristic
460C22×C8×C59C2311yescharacteristic
461C22×C8×C59C2311yescharacteristic, complemented
462#124×C59—21no—
463#124×C59C2311yescharacteristic
464#124×C59C2311yescharacteristic, complemented
465#123×C59—21no—
466C22⋊Q8×C59—21no—
467C22⋊Q8×C59C2311yescharacteristic
468C22⋊Q8×C59C2311yescharacteristic, complemented
469#121×C59—21no—
470#121×C59—21no—
471#121×C59C2311yescharacteristic
472#121×C59C2311yescharacteristic
473#120×C59—21no—
474C4×Q8×C59C2311yescharacteristic, complemented
475C4×D4×C59—21no—
476C4×D4×C59C2311yescharacteristic
477C4×D4×C59C2311yescharacteristic
478C2×C22⋊C4×C59—21no—
479#106×C59C2311yescharacteristic, complemented
480C4⋊C8×C59C2311yescharacteristic, complemented
481#103×C59C2311yescharacteristic, complemented
482#103×C59C2311yescharacteristic, complemented
483#103×C59C2311yescharacteristic, complemented
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic, complemented
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic, complemented
489C4×C8×C59C2311yescharacteristic, complemented
490C24×C59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496C23×D59—44no—
497C23×D59—44no—
498C23×D59—82no—
499C23×D59C2×D411yescharacteristic
500C23×D59C2×D411yescharacteristic
501#41×C59—22no—
502#41×C59—41no—
503#41×C59—41no—
504#41×C59—41no—
505C2×Q8×C59—21no—
506C2×Q8×C59—41no—
507C2×Q8×C59—41no—
508C2×Q8×C59C2411yescharacteristic
509C2×Q8×C59C2411yescharacteristic
510C2×Q8×C59C2411yescharacteristic
511C2×D4×C59—22no—
512C2×D4×C59—21no—
513C2×D4×C59—21no—
514C2×D4×C59—21no—
515C2×D4×C59—21no—
516C2×D4×C59—21no—
517C2×D4×C59—41no—
518C2×D4×C59C2×D411yescharacteristic
519C2×D4×C59C2411yescharacteristic
520C2×D4×C59C2411yescharacteristic
521C2×D4×C59C2411yescharacteristic
522C22×C4×C59—21no—
523C22×C4×C59—21no—
524C22×C4×C59—21no—
525C22×C4×C59—21no—
526C22×C4×C59C2411yescharacteristic
527C22×C4×C59C2411yescharacteristic
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—21no—
539C2×C22⋊D59—44no—
540C2×C22⋊D59C2×D411yescharacteristic
541C2×C22⋊D59C2×D411yescharacteristic
542C22×Dic59—21no—
543C22×Dic59—21no—
544C22×Dic59—21no—
545C22×Dic59—21no—
546C22×Dic59—21no—
547C22×Dic59C2×D411yescharacteristic
548C22×Dic59C2×D411yescharacteristic
549#11745689—22no—
550#11745689—41no—
551Q8×D59—41no—
552Q8×D59—41no—
553Q8×D59—41no—
554Q8×D59—41no—
555#11745687—22no—
556#11745687—41no—
557#11745687—41no—
558#11745687—41no—
559#11745687—44no—
560#11745687—44no—
561D4×D59—22no—
562D4×D59—22no—
563D4×D59—22no—
564D4×D59—22no—
565D4×D59—41no—
566D4×D59—41no—
567D4×D59—41no—
568D4×D59—41no—
569D4×D59—42no—
570D4×D59—44no—
571D4×D59—44no—
572D4×D59—44no—
573D4×D59—82no—
574#11745685—22no—
575#11745685—41no—
576#11745685—44no—
577C2×D236—22no—
578C2×D236—21no—
579C2×D236—21no—
580C2×D236—21no—
581C2×D236—41no—
582C2×D236C2×D411yescharacteristic
583C2×D236C2411yescharacteristic
584C2×D236C2411yescharacteristic
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—41no—
594C2×C4×D59—41no—
595C2×C4×D59—41no—
596C2×C4×D59—41no—
597C2×C4×D59—44no—
598C2×C4×D59—82no—
599C2×C4×D59C2×D411yescharacteristic
600C2×C4×D59C2×D411yescharacteristic
601C2×C4×D59C2×D411yescharacteristic
602C2×C4×D59C2×D411yescharacteristic
603C2×C4×D59C2×D411yescharacteristic
604C2×C4×D59C2×D411yescharacteristic
605C2×C4×D59C2411yescharacteristic
606C2×C4×D59C2411yescharacteristic
607C2×C4×D59C2411yescharacteristic
608C2×Dic118—21no—
609C2×Dic118—21no—
610C2×Dic118—21no—
611C2×Dic118C2411yescharacteristic
612C2×Dic118C2411yescharacteristic
613Q16×C59—41no—
614Q16×C59—41no—
615SD16×C59—22no—
616SD16×C59—22no—
617SD16×C59—41no—
618SD16×C59—41no—
619SD16×C59—41no—
620D8×C59—22no—
621D8×C59—41no—
622C2×C8×C59—41no—
623C2×C8×C59—41no—
624C2×C8×C59C2411yescharacteristic
625C2×C8×C59C2411yescharacteristic
626C2×C8×C59C2411yescharacteristic
627C2×C8×C59C2411yescharacteristic
628C4⋊C4×C59—21no—
629C4⋊C4×C59—21no—
630C4⋊C4×C59—21no—
631C4⋊C4×C59C2×D411yescharacteristic
632C4⋊C4×C59C2411yescharacteristic
633C4⋊C4×C59C2411yescharacteristic
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
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×C59C2×D411yescharacteristic
644C22⋊C4×C59C2×D411yescharacteristic
645C42×C59—21no—
646C42×C59C2411yescharacteristic
647C22⋊Dic59—21no—
648C22⋊Dic59—21no—
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⋊Dic59C2×D411yescharacteristic
659C22⋊Dic59C2×D411yescharacteristic
660#11745672—41no—
661#11745672—41no—
662#11745672—41no—
663#11745671—22no—
664#11745671—22no—
665#11745671—41no—
666#11745671—41no—
667#11745670—22no—
668#11745670—41no—
669#11745670—41no—
670#11745669—22no—
671#11745669—41no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
690(C2×D59)⋊C4C2×D411yescharacteristic
691(C2×D59)⋊C4C2×D411yescharacteristic
692(C2×D59)⋊C4C2×D411yescharacteristic
693C4⋊Dic59—21no—
694C4⋊Dic59—21no—
695C4⋊Dic59—21no—
696C4⋊Dic59—21no—
697C4⋊Dic59C2×D411yescharacteristic
698C4⋊Dic59C2411yescharacteristic
699C4⋊Dic59C2411yescharacteristic
700C4⋊Dic59C2411yescharacteristic
701C4⋊Dic59C2411yescharacteristic
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
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—
737#11745659—41no—
738#11745659—41no—
739#11745659—41no—
740#11745659—41no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59—21no—
744C23×C59—42no—
745C23×C59—42no—
746C23×C59—81no—
747C23×C59C22×D411yescharacteristic
748C23×C59C22×D411yescharacteristic
749C22×D59—24no—
750C22×D59—22no—
751C22×D59—21no—
752C22×D59—22no—
753C22×D59—22no—
754C22×D59—21no—
755C22×D59—41no—
756C22×D59—41no—
757C22×D59—41no—
758C22×D59—42no—
759C22×D59—42no—
760C22×D59—42no—
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—81no—
770C22×D59—81no—
771C22×D59—81no—
772C22×D59—816no—
773C22×D59C22×D411yescharacteristic
774C22×D59C22×D411yescharacteristic
775C22×D59C22×D411yescharacteristic
776Q8×C59—21no—
777Q8×C59—21no—
778Q8×C59—21no—
779Q8×C59—21no—
780Q8×C59—21no—
781Q8×C59—21no—
782Q8×C59—81no—
783D4×C59—22no—
784D4×C59—21no—
785D4×C59—21no—
786D4×C59—21no—
787D4×C59—21no—
788D4×C59—21no—
789D4×C59—42no—
790D4×C59—42no—
791D4×C59—42no—
792D4×C59—81no—
793D4×C59—81no—
794D4×C59H(5,𝔽2)12yes—
795C2×C4×C59—21no—
796C2×C4×C59—21no—
797C2×C4×C59—21no—
798C2×C4×C59—21no—
799C2×C4×C59—21no—
800C2×C4×C59—21no—
801C2×C4×C59—21no—
802C2×C4×C59—21no—
803C2×C4×C59—21no—
804C2×C4×C59—42no—
805C2×C4×C59—81no—
806C2×C4×C59—81no—
807C2×C4×C59—81no—
808C2×C4×C59C22×D411yescharacteristic
809C2×C4×C59C22×D411yescharacteristic
810C2×C4×C59C22×D411yescharacteristic
811C2×C4×C59C22×D411yescharacteristic
812C2×C4×C59C2511yescharacteristic
813C22⋊D59—24no—
814C22⋊D59—22no—
815C22⋊D59—41no—
816C22⋊D59—42no—
817C22⋊D59—42no—
818C22⋊D59—42no—
819C22⋊D59—42no—
820C22⋊D59—42no—
821C22⋊D59—42no—
822C22⋊D59—42no—
823C22⋊D59—81no—
824C22⋊D59—81no—
825C22⋊D59—81no—
826C2×Dic59—21no—
827C2×Dic59—21no—
828C2×Dic59—21no—
829C2×Dic59—21no—
830C2×Dic59—21no—
831C2×Dic59—21no—
832C2×Dic59—41no—
833C2×Dic59—41no—
834C2×Dic59—42no—
835C2×Dic59—42no—
836C2×Dic59—42no—
837C2×Dic59—81no—
838C2×Dic59—81no—
839C2×Dic59C22×D411yescharacteristic
840C2×Dic59C22×D411yescharacteristic
841C2×Dic59C22×D411yescharacteristic
842C2×Dic59C22×D411yescharacteristic
843C2×Dic59C22×D411yescharacteristic
844D236—21no—
845D236—21no—
846D236—21no—
847D236—41no—
848D236—42no—
849D236—42no—
850D236—81no—
851D236H(5,𝔽2)12yes—
852C4×D59—22no—
853C4×D59—21no—
854C4×D59—21no—
855C4×D59—21no—
856C4×D59—21no—
857C4×D59—21no—
858C4×D59—21no—
859C4×D59—41no—
860C4×D59—41no—
861C4×D59—41no—
862C4×D59—41no—
863C4×D59—41no—
864C4×D59—42no—
865C4×D59—42no—
866C4×D59—42no—
867C4×D59—42no—
868C4×D59—42no—
869C4×D59—81no—
870C4×D59—81no—
871C4×D59—81no—
872Dic118—21no—
873Dic118—21no—
874Dic118—21no—
875Dic118—21no—
876Dic118—42no—
877Dic118—42no—
878Dic118—81no—
879C8×C59—21no—
880C8×C59—21no—
881C8×C59—21no—
882C8×C59—21no—
883C59⋊C8—21no—
884C59⋊C8—21no—
885C59⋊C8—21no—
886C59⋊C8—21no—
887#61601—591nomaximal, Sylow
888C22×C59—21no—
889C22×C59—21no—
890C22×C59—22no—
891C22×C59—21no—
892C22×C59—21no—
893C22×C59—21no—
894C22×C59—41no—
895C22×C59—41no—
896C22×C59—41no—
897C22×C59—41no—
898C22×C59—41no—
899C22×C59—41no—
900C22×C59—41no—
901C22×C59—41no—
902C22×C59—84no—
903C22×C59#57512yes—
904C22×C59C23×D411yescharacteristic
905C2×D59—21no—
906C2×D59—21no—
907C2×D59—21no—
908C2×D59—21no—
909C2×D59—22no—
910C2×D59—21no—
911C2×D59—21no—
912C2×D59—21no—
913C2×D59—21no—
914C2×D59—44no—
915C2×D59—48no—
916C2×D59—41no—
917C2×D59—41no—
918C2×D59—41no—
919C2×D59—41no—
920C2×D59—41no—
921C2×D59—82no—
922C2×D59—84no—
923C2×D59—84no—
924C2×D59—84no—
925C2×D59—84no—
926C2×D59#57712yes—
927C4×C59—21no—
928C4×C59—21no—
929C4×C59—21no—
930C4×C59—21no—
931C4×C59—41no—
932C4×C59—41no—
933C4×C59—41no—
934C4×C59—41no—
935C4×C59—41no—
936C4×C59C2×H(5,𝔽2)11yescharacteristic
937C4×C59C2×H(5,𝔽2)11yescharacteristic
938Dic59—21no—
939Dic59—21no—
940Dic59—21no—
941Dic59—21no—
942Dic59—21no—
943Dic59—41no—
944Dic59—41no—
945Dic59—41no—
946Dic59—41no—
947Dic59—41no—
948Dic59—41no—
949#3520—591no—
950C2×#546—591no—
951#3323—591no—
952#3323—591no—
953#3311—591no—
954#3311—591no—
955#3306—591no—
956#3306—591no—
957#3296—591no—
958#3296—591no—
959#3282—591no—
960#3282D5911yescharacteristic, complemented
961#3275—591no—
962#3275—591no—
963#3267—591no—
964#3267—591no—
965#3266—591no—
966#3266—591no—
967#3215—591no—
968#3211—591no—
969#3195—591no—
970#3194—591no—
971#3190—591no—
972#3187—591no—
973#3114—591no—
974#3101—591no—
975#3007—591no—
976#3003—591no—
977#3002—591no—
978C2×#450—591no—
979#2974—591no—
980C2×C59—22no—
981C2×C59—42no—
982C2×C59—41no—
983C2×C59—81no—
984C2×C59—81no—
985C2×C59#348411yescharacteristic
986C2×C59C2×#57511yescharacteristic
987C2×C59C2×#57711yescharacteristic
988D59—22no—
989D59—41no—
990D59—41no—
991D59—42no—
992D59—81no—
993C22×#41—591no—
994C23×D4—591no—
995C2×#137—591no—
996C2×#137—591no—
997C2×AGL(1,ℤ/8)—591no—
998C2×AGL(1,ℤ/8)—591no—
999C2×#135—591no—
1000C2×#135C2×D5911yescharacteristic, complemented
1001C22×SD16—591no—
1002C22×SD16C2×D5911yescharacteristic, complemented
1003#556—591no—
1004#554—1181no—
1005#552—591no—
1006#552—591no—
1007#551—1181no—
1008#551—1181no—
1009D4×Q8—591no—
1010#548—591no—
1011#548C2×D5911yescharacteristic, complemented
1012#547—591no—
1013#547—591no—
1014#546—591no—
1015#546—591no—
1016#546—591no—
1017#546—591no—
1018#546—591no—
1019#546—591no—
1020#546—591no—
1021#546—1181no—
1022#546—1181no—
1023#546—1181no—
1024#546—1181no—
1025#546—1181no—
1026#546C2×D5911yescharacteristic
1027#542—1181no—
1028#539—1181no—
1029#539—1181no—
1030#533—591no—
1031#529—591no—
1032C2×#124—591no—
1033#525—591no—
1034#525—591no—
1035C2×#123—1181no—
1036C2×C22⋊Q8—591no—
1037C2×C22⋊Q8—591no—
1038C2×C22⋊Q8—591no—
1039C2×#121—591no—
1040C2×#121—1181no—
1041C2×#120—1181no—
1042#520—1181no—
1043C2×C4×D4—591no—
1044C2×C4×D4—591no—
1045C22×C22⋊C4—1181no—
1046#497—591no—
1047#497—591no—
1048#495—591no—
1049#495C2×D5911yescharacteristic, complemented
1050#489—591no—
1051#489—591no—
1052#488—591no—
1053#488—591no—
1054#485—591no—
1055#485—591no—
1056#483—591no—
1057#483—591no—
1058#483—591no—
1059#483—591no—
1060#483—591no—
1061#482—591no—
1062#482—591no—
1063#481—591no—
1064#481—591no—
1065#480—591no—
1066#478—591no—
1067#478—591no—
1068#476—591no—
1069#476—591no—
1070#470—591no—
1071#470—591no—
1072#470—591no—
1073#470—591no—
1074#469—591no—
1075#469—591no—
1076#468—591no—
1077#468—591no—
1078#467—591no—
1079#467—591no—
1080#465—591no—
1081#465—591no—
1082#465—591no—
1083#465—591no—
1084#465C2×D5911yescharacteristic, complemented
1085#465C2×D5911yescharacteristic, complemented
1086#464—591no—
1087#464—591no—
1088#464—591no—
1089#464—591no—
1090#464—591no—
1091#464C2×D5911yescharacteristic, complemented
1092#463—591no—
1093#463—591no—
1094#463—591no—
1095#463C2×D5911yescharacteristic, complemented
1096#461—591no—
1097#461—591no—
1098#452—591no—
1099#452—591no—
1100#452—591no—
1101#452—591no—
1102#452—591no—
1103#452—591no—
1104#452—591no—
1105#452C2×D5911yescharacteristic, complemented
1106#451—591no—
1107#451—591no—
1108#451—591no—
1109#451—591no—
1110#451C2×D5911yescharacteristic, complemented
1111#450—591no—
1112#450—591no—
1113#450—591no—
1114#450—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#449—591no—
1124#449—591no—
1125#449—591no—
1126#449C2×D5911yescharacteristic, complemented
1127#448—591no—
1128#448—591no—
1129#448—591no—
1130#447—591no—
1131#447—591no—
1132#447—591no—
1133#447C2×D5911yescharacteristic, complemented
1134#442—591no—
1135#442—591no—
1136#440—591no—
1137#440—591no—
1138C4×SD16—591no—
1139C4×SD16—591no—
1140C4×SD16—591no—
1141C4×SD16C2×D5911yescharacteristic, complemented
1142#436—591no—
1143#436—591no—
1144#435—591no—
1145#435—591no—
1146#435—591no—
1147#435—591no—
1148C8×D4—591no—
1149C8×D4C2×D5911yescharacteristic, complemented
1150#432—591no—
1151#431—591no—
1152#418—591no—
1153#418—591no—
1154#417—591no—
1155#417—591no—
1156#416—591no—
1157#416—591no—
1158C2×#102—591no—
1159C2×#102—591no—
1160#407—591no—
1161#407—591no—
1162C2×C22⋊C8—591no—
1163C2×C22⋊C8—591no—
1164C59#6160111yescharacteristic, complemented, Sylow
1165C25—1181no—
1166C2×#41—591no—
1167C2×#41—591no—
1168C2×#41—591no—
1169C2×#41—591no—
1170C2×#41—1181no—
1171C2×#41—1181no—
1172C2×#41—1181no—
1173C2×#41—2362no—
1174C2×#41—2362no—
1175C2×#41C22×D5911yescharacteristic
1176C2×#41C22×D5911yescharacteristic, complemented
1177C22×Q8—591no—
1178C22×Q8—591no—
1179C22×Q8C22×D5911yescharacteristic
1180C22×D4—591no—
1181C22×D4—591no—
1182C22×D4—591no—
1183C22×D4—591no—
1184C22×D4—591no—
1185C22×D4—591no—
1186C22×D4—1181no—
1187C22×D4—1181no—
1188C22×D4—1181no—
1189C22×D4—1181no—
1190C22×D4—1181no—
1191C22×D4—2362no—
1192C22×D4—2362no—
1193C22×D4C22×D5911yescharacteristic
1194C23×C4—591no—
1195C23×C4—591no—
1196C23×C4—1181no—
1197C23×C4—1181no—
1198#137—2362no—
1199#137—2362no—
1200AGL(1,ℤ/8)—2362no—
1201AGL(1,ℤ/8)—2362no—
1202#135—42no—
1203#135—2362no—
1204C2×Q16—591no—
1205C2×Q16—591no—
1206C2×Q16—591no—
1207C2×Q16—591no—
1208C2×Q16C22×D5911yescharacteristic, complemented
1209C2×Q16C22×D5911yescharacteristic, complemented
1210C2×SD16—42no—
1211C2×SD16—591no—
1212C2×SD16—591no—
1213C2×SD16—591no—
1214C2×SD16—591no—
1215C2×SD16—591no—
1216C2×SD16—591no—
1217C2×SD16—591no—
1218C2×SD16—591no—
1219C2×SD16—591no—
1220C2×SD16—2362no—
1221C2×SD16C22×D5911yescharacteristic
1222C2×SD16C22×D5911yescharacteristic
1223C2×SD16C22×D5911yescharacteristic
1224C2×SD16C22×D5911yescharacteristic
1225C2×SD16C22×D5911yescharacteristic, complemented
1226C2×D8—591no—
1227C2×D8—591no—
1228C2×D8C22×D5911yescharacteristic
1229C2×D8C22×D5911yescharacteristic
1230C2×M16—591no—
1231C2×M16—591no—
1232C2×M16—591no—
1233C2×M16—591no—
1234C22×C8—591no—
1235C22×C8—591no—
1236C22×C8C22×D5911yescharacteristic
1237C22×C8C22×D5911yescharacteristic, complemented
1238C4⋊Q8—591no—
1239C4⋊Q8—591no—
1240C4⋊Q8—1181no—
1241#126—1181no—
1242#126—1181no—
1243#126—1181no—
1244#126—1181no—
1245#126—1181no—
1246#125—591no—
1247#125—1181no—
1248#125—1181no—
1249#125—1181no—
1250#124—21no—
1251#124—591no—
1252#124—591no—
1253#124—591no—
1254#124—1181no—
1255#124—1181no—
1256#124—1181no—
1257#124—1181no—
1258#124C22×D5911yescharacteristic
1259#124C22×D5911yescharacteristic, complemented
1260#123—21no—
1261#123—1181no—
1262#123—1181no—
1263#123—1181no—
1264#123—1181no—
1265#123—1181no—
1266#123—1181no—
1267#123—1181no—
1268#123—1181no—
1269#123—1181no—
1270#123—1181no—
1271#123—1181no—
1272#123—1181no—
1273#123—1181no—
1274#123—1181no—
1275#123—1181no—
1276#123—1181no—
1277C22⋊Q8—21no—
1278C22⋊Q8—591no—
1279C22⋊Q8—591no—
1280C22⋊Q8—591no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—591no—
1285C22⋊Q8—591no—
1286C22⋊Q8—591no—
1287C22⋊Q8—591no—
1288C22⋊Q8—591no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8—1181no—
1293C22⋊Q8—1181no—
1294C22⋊Q8—1181no—
1295C22⋊Q8—1181no—
1296C22⋊Q8—1181no—
1297C22⋊Q8—1181no—
1298C22⋊Q8—1181no—
1299C22⋊Q8—1181no—
1300C22⋊Q8C22×D5911yescharacteristic
1301C22⋊Q8C22×D5911yescharacteristic, complemented
1302#121—21no—
1303#121—21no—
1304#121—591no—
1305#121—591no—
1306#121—591no—
1307#121—591no—
1308#121—591no—
1309#121—1181no—
1310#121—1181no—
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#121C22×D5911yescharacteristic
1321#121C22×D5911yescharacteristic
1322#120—21no—
1323#120—1181no—
1324#120—1181no—
1325#120—1181no—
1326#120—1181no—
1327#120—1181no—
1328#120—1181no—
1329#120—1181no—
1330#120—1181no—
1331#120—1181no—
1332C4×Q8—591no—
1333C4×Q8—591no—
1334C4×Q8—1181no—
1335C4×Q8—1181no—
1336C4×Q8C22×D5911yescharacteristic, complemented
1337C4×D4—21no—
1338C4×D4—591no—
1339C4×D4—591no—
1340C4×D4—591no—
1341C4×D4—591no—
1342C4×D4—591no—
1343C4×D4—591no—
1344C4×D4—591no—
1345C4×D4—591no—
1346C4×D4—591no—
1347C4×D4—591no—
1348C4×D4—591no—
1349C4×D4—1181no—
1350C4×D4—1181no—
1351C4×D4—1181no—
1352C4×D4—1181no—
1353C4×D4—1181no—
1354C4×D4—1181no—
1355C4×D4—1181no—
1356C4×D4—1181no—
1357C4×D4—1181no—
1358C4×D4C22×D5911yescharacteristic
1359C4×D4C22×D5911yescharacteristic
1360#117—591no—
1361#117—591no—
1362#117—1181no—
1363#117—1181no—
1364#117—1181no—
1365#117—1181no—
1366C2×C4⋊C4—591no—
1367C2×C4⋊C4—591no—
1368C2×C4⋊C4—591no—
1369C2×C4⋊C4—591no—
1370C2×C4⋊C4—1181no—
1371C2×C4⋊C4—1181no—
1372C2×C4⋊C4—1181no—
1373C2×C4⋊C4—1181no—
1374C2×C22⋊C4—21no—
1375C2×C22⋊C4—591no—
1376C2×C22⋊C4—591no—
1377C2×C22⋊C4—1181no—
1378C2×C22⋊C4—1181no—
1379C2×C22⋊C4—1181no—
1380C2×C22⋊C4—1181no—
1381C2×C22⋊C4—1181no—
1382C2×C22⋊C4—1181no—
1383C2×C22⋊C4—1181no—
1384C2×C22⋊C4—1181no—
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×C42—591no—
1392#107—591no—
1393#107—591no—
1394#106—591no—
1395#106—591no—
1396#106—591no—
1397#106—591no—
1398#106—591no—
1399#106C22×D5911yescharacteristic, complemented
1400C4⋊C8—591no—
1401C4⋊C8—591no—
1402C4⋊C8—591no—
1403C4⋊C8C22×D5911yescharacteristic, complemented
1404#103—591no—
1405#103—591no—
1406#103—591no—
1407#103—591no—
1408#103—591no—
1409#103—591no—
1410#103—591no—
1411#103—591no—
1412#103—591no—
1413#103—591no—
1414#103—591no—
1415#103C22×D5911yescharacteristic, complemented
1416#103C22×D5911yescharacteristic, complemented
1417#103C22×D5911yescharacteristic, complemented
1418#102—591no—
1419#102—591no—
1420#102—591no—
1421#102—591no—
1422#102—591no—
1423#102—591no—
1424#102—591no—
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#102C22×D5911yescharacteristic
1434#102C22×D5911yescharacteristic
1435#102C22×D5911yescharacteristic, complemented
1436C22⋊C8—591no—
1437C22⋊C8—591no—
1438C22⋊C8—591no—
1439C22⋊C8—591no—
1440C22⋊C8—591no—
1441C22⋊C8—591no—
1442C22⋊C8—591no—
1443C22⋊C8—591no—
1444C22⋊C8—591no—
1445C22⋊C8—591no—
1446C22⋊C8C22×D5911yescharacteristic
1447C22⋊C8C22×D5911yescharacteristic, complemented
1448#97—591no—
1449#97—591no—
1450C4×C8—591no—
1451C4×C8C22×D5911yescharacteristic, complemented
1452C24—21no—
1453C24—591no—
1454C24—591no—
1455C24—1181no—
1456C24—1181no—
1457C24—1181no—
1458C24—1181no—
1459C24—1181no—
1460C24—4722no—
1461C24—2364no—
1462C24—2364no—
1463#41—22no—
1464#41—41no—
1465#41—41no—
1466#41—41no—
1467#41—1182no—
1468#41—1182no—
1469#41—1182no—
1470#41—2361no—
1471#41—2364no—
1472#41—2361no—
1473#41—2361no—
1474#41—2361no—
1475#41—2361no—
1476#41—2364no—
1477#41—2364no—
1478C2×Q8—21no—
1479C2×Q8—41no—
1480C2×Q8—41no—
1481C2×Q8—591no—
1482C2×Q8—591no—
1483C2×Q8—1181no—
1484C2×Q8—1181no—
1485C2×Q8—1181no—
1486C2×Q8—2361no—
1487C2×Q8—2361no—
1488C2×Q8—2361no—
1489C2×Q8—2361no—
1490C2×Q8C23×D5911yescharacteristic
1491C2×Q8C23×D5911yescharacteristic
1492C2×Q8C23×D5911yescharacteristic
1493C2×D4—22no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—41no—
1500C2×D4—591no—
1501C2×D4—591no—
1502C2×D4—591no—
1503C2×D4—591no—
1504C2×D4—591no—
1505C2×D4—1182no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—1181no—
1512C2×D4—1182no—
1513C2×D4—1182no—
1514C2×D4—1182no—
1515C2×D4—1182no—
1516C2×D4—1181no—
1517C2×D4—1181no—
1518C2×D4—1181no—
1519C2×D4—1181no—
1520C2×D4—1181no—
1521C2×D4—1181no—
1522C2×D4—1181no—
1523C2×D4—1181no—
1524C2×D4—4722no—
1525C2×D4—2361no—
1526C2×D4—2361no—
1527C2×D4—2361no—
1528C2×D4—2361no—
1529C2×D4—2361no—
1530C2×D4—2362no—
1531C2×D4—2364no—
1532C2×D4—2364no—
1533C2×D4—2364no—
1534C2×D4—2364no—
1535C2×D4D4×D5911yescharacteristic
1536C2×D4C23×D5911yescharacteristic
1537C2×D4C23×D5911yescharacteristic
1538C2×D4C23×D5911yescharacteristic
1539C22×C4—21no—
1540C22×C4—21no—
1541C22×C4—21no—
1542C22×C4—21no—
1543C22×C4—591no—
1544C22×C4—591no—
1545C22×C4—591no—
1546C22×C4—591no—
1547C22×C4—591no—
1548C22×C4—591no—
1549C22×C4—591no—
1550C22×C4—591no—
1551C22×C4—591no—
1552C22×C4—591no—
1553C22×C4—591no—
1554C22×C4—1181no—
1555C22×C4—1181no—
1556C22×C4—1181no—
1557C22×C4—1181no—
1558C22×C4—1181no—
1559C22×C4—1181no—
1560C22×C4—1181no—
1561C22×C4—1181no—
1562C22×C4—1181no—
1563C22×C4—1181no—
1564C22×C4—1181no—
1565C22×C4—1181no—
1566C22×C4—1181no—
1567C22×C4—4722no—
1568C22×C4—2361no—
1569C22×C4—2361no—
1570C22×C4—2361no—
1571C22×C4—2361no—
1572C22×C4—2364no—
1573C22×C4C23×D5911yescharacteristic
1574C22×C4C23×D5911yescharacteristic
1575Q16—41no—
1576Q16—41no—
1577Q16—2361no—
1578Q16—2361no—
1579Q16—2361no—
1580Q16—2361no—
1581SD16—22no—
1582SD16—22no—
1583SD16—41no—
1584SD16—41no—
1585SD16—41no—
1586SD16—1182no—
1587SD16—1182no—
1588SD16—1182no—
1589SD16—1182no—
1590SD16—2361no—
1591SD16—2361no—
1592SD16—2361no—
1593SD16—2361no—
1594SD16—2361no—
1595D8—22no—
1596D8—41no—
1597D8—1182no—
1598D8—2361no—
1599M16—2361no—
1600M16—2361no—
1601M16—2361no—
1602M16—2361no—
1603C2×C8—41no—
1604C2×C8—41no—
1605C2×C8—591no—
1606C2×C8—591no—
1607C2×C8—591no—
1608C2×C8—591no—
1609C2×C8—2361no—
1610C2×C8—2361no—
1611C2×C8C23×D5911yescharacteristic
1612C2×C8C23×D5911yescharacteristic
1613C2×C8C23×D5911yescharacteristic
1614C2×C8C23×D5911yescharacteristic
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—591no—
1619C4⋊C4—591no—
1620C4⋊C4—591no—
1621C4⋊C4—591no—
1622C4⋊C4—591no—
1623C4⋊C4—591no—
1624C4⋊C4—591no—
1625C4⋊C4—1181no—
1626C4⋊C4—1181no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4—1181no—
1630C4⋊C4—1181no—
1631C4⋊C4—1181no—
1632C4⋊C4—1181no—
1633C4⋊C4—1181no—
1634C4⋊C4—1181no—
1635C4⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1647C4⋊C4C23×D5911yescharacteristic
1648C4⋊C4C23×D5911yescharacteristic
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—591no—
1659C22⋊C4—591no—
1660C22⋊C4—591no—
1661C22⋊C4—591no—
1662C22⋊C4—591no—
1663C22⋊C4—591no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1693C22⋊C4D4×D5911yescharacteristic
1694C42—21no—
1695C42—591no—
1696C42—591no—
1697C42—591no—
1698C42—1181no—
1699C42—1181no—
1700C42—1181no—
1701C42—1181no—
1702C42C23×D5911yescharacteristic
1703C23—21no—
1704C23—21no—
1705C23—21no—
1706C23—42no—
1707C23—42no—
1708C23—81no—
1709C23—591no—
1710C23—591no—
1711C23—591no—
1712C23—1182no—
1713C23—1182no—
1714C23—1184no—
1715C23—1182no—
1716C23—1181no—
1717C23—1181no—
1718C23—4721no—
1719C23—4721no—
1720C23—4721no—
1721C23—47216no—
1722C23—2361no—
1723C23—2361no—
1724C23—2361no—
1725C23—2362no—
1726C23—2362no—
1727C23—2362no—
1728C23—2362no—
1729C23—2362no—
1730C23—2362no—
1731C23—2362no—
1732C23—2362no—
1733C23—2362no—
1734C23—2362no—
1735C23—2362no—
1736C23C2×D4×D5911yescharacteristic
1737C23C2×D4×D5911yescharacteristic
1738Q8—21no—
1739Q8—21no—
1740Q8—21no—
1741Q8—21no—
1742Q8—21no—
1743Q8—21no—
1744Q8—81no—
1745Q8—1181no—
1746Q8—1181no—
1747Q8—1181no—
1748Q8—1181no—
1749Q8—4721no—
1750Q8—2362no—
1751Q8—2362no—
1752D4—22no—
1753D4—21no—
1754D4—21no—
1755D4—21no—
1756D4—21no—
1757D4—21no—
1758D4—42no—
1759D4—42no—
1760D4—42no—
1761D4—81no—
1762D4—81no—
1763D4—592no—
1764D4—1184no—
1765D4—1182no—
1766D4—1181no—
1767D4—1181no—
1768D4—1181no—
1769D4—4721no—
1770D4—4721no—
1771D4—4721no—
1772D4—4721no—
1773D4—2361no—
1774D4—2362no—
1775D4—2362no—
1776D4—2361no—
1777D4—2362no—
1778D4—2362no—
1779D4—2362no—
1780D4—2362no—
1781D4—2362no—
1782D4—2362no—
1783D4—2362no—
1784D4#1427377212yes—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—42no—
1795C2×C4—81no—
1796C2×C4—81no—
1797C2×C4—81no—
1798C2×C4—591no—
1799C2×C4—591no—
1800C2×C4—591no—
1801C2×C4—591no—
1802C2×C4—591no—
1803C2×C4—1182no—
1804C2×C4—1181no—
1805C2×C4—1181no—
1806C2×C4—1181no—
1807C2×C4—1181no—
1808C2×C4—1181no—
1809C2×C4—1181no—
1810C2×C4—1181no—
1811C2×C4—1181no—
1812C2×C4—1181no—
1813C2×C4—1181no—
1814C2×C4—1181no—
1815C2×C4—1181no—
1816C2×C4—4721no—
1817C2×C4—4721no—
1818C2×C4—4721no—
1819C2×C4—4721no—
1820C2×C4—4721no—
1821C2×C4—2361no—
1822C2×C4—2361no—
1823C2×C4—2361no—
1824C2×C4—2361no—
1825C2×C4—2361no—
1826C2×C4—2362no—
1827C2×C4—2362no—
1828C2×C4—2362no—
1829C2×C4—2362no—
1830C2×C4—2362no—
1831C2×C4—2361no—
1832C2×C4—2361no—
1833C2×C4—2362no—
1834C2×C4—2362no—
1835C2×C4—2362no—
1836C2×C4C2×D4×D5911yescharacteristic
1837C2×C4C2×D4×D5911yescharacteristic
1838C2×C4C2×D4×D5911yescharacteristic
1839C2×C4C2×D4×D5911yescharacteristic
1840C2×C4C24×D5911yescharacteristic
1841C8—21no—
1842C8—21no—
1843C8—21no—
1844C8—21no—
1845C8—1181no—
1846C8—1181no—
1847C8—1181no—
1848C8—1181no—
1849C22—21no—
1850C22—21no—
1851C22—21no—
1852C22—22no—
1853C22—21no—
1854C22—21no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—84no—
1864C22—592no—
1865C22—1181no—
1866C22—1181no—
1867C22—1181no—
1868C22—1181no—
1869C22—1182no—
1870C22—1181no—
1871C22—1181no—
1872C22—1181no—
1873C22—1181no—
1874C22—4724no—
1875C22—4722no—
1876C22—4724no—
1877C22—4724no—
1878C22—4724no—
1879C22—2364no—
1880C22—2368no—
1881C22—2361no—
1882C22—2361no—
1883C22—2361no—
1884C22—2361no—
1885C22—2361no—
1886C22#1683819912yes—
1887C22C22×D4×D5911yescharacteristic
1888C4—21no—
1889C4—21no—
1890C4—21no—
1891C4—21no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—41no—
1897C4—1181no—
1898C4—1181no—
1899C4—1181no—
1900C4—1181no—
1901C4—1181no—
1902C4—2361no—
1903C4—2361no—
1904C4—2361no—
1905C4—2361no—
1906C4—2361no—
1907C4—2361no—
1908C4H(5,𝔽2)×D5911yescharacteristic
1909C4C2×#1427377211yescharacteristic
1910C2—22no—
1911C2—41no—
1912C2—42no—
1913C2—81no—
1914C2—81no—
1915C2—1182no—
1916C2—4721no—
1917C2—2361no—
1918C2—2361no—
1919C2—2362no—
1920C2#2143772411yescharacteristic
1921C2C2×#1683819911yescharacteristic
1922C2#577×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3282C2
socleC22×C59C23×D4
hypercenter#3282D59
hypocenterC59#61601
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3282

Complements

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

NH ≅ G/Ntype
1. #21438138C2semidirect
2. #546×D59C2semidirect
3. #21436319C2semidirect
4. #21436317C2semidirect
5. #21436138C2semidirect
6. #21436136C2semidirect
7. #21436063C2semidirect
8. #21436061C2semidirect
9. #21435933C2semidirect
10. #21435931C2semidirect
11. #21435804C2semidirect
12. #21435733C2semidirect
13. #21435726C2semidirect
14. #21435621C2semidirect
15. #21435614C2semidirect
16. #21435606C2semidirect
17. #21435599C2semidirect
18. #21435097C2semidirect
19. #21435056C2semidirect
20. #21434918C2semidirect
21. #21434908C2semidirect
22. #21434872C2semidirect
23. #21434848C2semidirect
24. #21434233C2semidirect
25. #21434102C2semidirect
26. #21433353C2semidirect
27. #21433320C2semidirect
28. #21433310C2semidirect
29. C2×#16837551C2semidirect
30. #21433129C2semidirect
31. C59×#3282C2semidirect
34. C2×#14273759C22semidirect
35. C2×#14273756C22semidirect
36. C2×#14273751C22semidirect
37. C2×#14273751C22semidirect
38. C2×#14273747C22semidirect
39. C22×#11745671C22semidirect
40. #16838123C22semidirect
42. #16838093C22semidirect
43. #16838092C22semidirect
46. Q8×C22⋊D59C22semidirect
47. #16838060C22semidirect
48. #16838052C22semidirect
49. #16838051C22semidirect
65. #16837956C22semidirect
66. #16837931C22semidirect
69. #16837909C22semidirect
73. C22⋊Q8×D59C22semidirect
81. #16837795C22semidirect
82. #16837793C22semidirect
83. #16837784C22semidirect
84. #16837763C22semidirect
85. #16837760C22semidirect
86. #16837757C22semidirect
87. #16837756C22semidirect
88. #16837746C22semidirect
89. #16837742C22semidirect
90. #16837734C22semidirect
91. #16837733C22semidirect
92. #16837731C22semidirect
93. #16837731C22semidirect
94. #16837730C22semidirect
95. #16837727C22semidirect
96. #16837723C22semidirect
97. #16837722C22semidirect
98. #16837719C22semidirect
99. #16837714C22semidirect
100. #16837703C22semidirect
101. #16837702C22semidirect
102. #16837691C22semidirect
103. #16837690C22semidirect
104. #16837659C22semidirect
105. #16837659C22semidirect
106. #16837657C22semidirect
107. #16837657C22semidirect
108. #16837654C22semidirect
109. #16837652C22semidirect
110. #16837651C22semidirect
111. #16837645C22semidirect
112. #16837643C22semidirect
113. #16837641C22semidirect
114. #16837633C22semidirect
115. #16837631C22semidirect
116. #16837629C22semidirect
117. #16837629C22semidirect
118. #16837626C22semidirect
119. #16837625C22semidirect
120. #16837624C22semidirect
121. #16837622C22semidirect
122. #16837621C22semidirect
123. #16837619C22semidirect
124. #16837615C22semidirect
125. #16837614C22semidirect
126. #16837606C22semidirect
127. #16837605C22semidirect
128. #16837566C22semidirect
129. #16837565C22semidirect
130. #16837564C22semidirect
131. #16837563C22semidirect
132. #16837562C22semidirect
133. #16837561C22semidirect
134. #16837561C22semidirect
135. #16837559C22semidirect
136. #16837558C22semidirect
137. #16837556C22semidirect
138. #16837556C22semidirect
139. #16837555C22semidirect
142. #16837553C22semidirect
147. #16837551C22semidirect
148. #16837551C22semidirect
149. #16837551C22semidirect
150. #16837551C22semidirect
151. #16837547C22semidirect
152. #16837546C22semidirect
153. #16837544C22semidirect
154. #16837542C22semidirect
155. #16837539C22semidirect
156. #16837539C22semidirect
157. #16837535C22semidirect
160. #16837514C22semidirect
161. #16837511C22semidirect
162. #16837505C22semidirect
163. #16837503C22semidirect
164. C4×#11745660C22semidirect
165. C4×#11745671C22semidirect
166. C4×#11745670C22semidirect
167. #16837481C22semidirect
168. #16837479C22semidirect
169. #16837473C22semidirect
170. #16837473C22semidirect
171. #16837470C22semidirect
172. #16837470C22semidirect
173. D4×C59⋊C8C22semidirect
174. #16837458C22semidirect
175. #16837453C22semidirect
176. #16837405C22semidirect
177. #16837405C22semidirect
178. #16837402C22semidirect
179. #16837400C22semidirect
180. #16837399C22semidirect
181. #16837398C22semidirect
182. C2×#14273649C22semidirect
183. C2×#14273648C22semidirect
185. #16837364C22semidirect
187. C2×(C2×D59)⋊C8C22semidirect
188. C2×#135×C59C22semidirect
189. C22×SD16×C59C22semidirect
190. C59×#548C22semidirect
192. C59×#495C22semidirect
193. C59×#465C22semidirect
194. C59×#465C22semidirect
195. C59×#464C22semidirect
196. C59×#463C22semidirect
197. C59×#452C22semidirect
198. C59×#451C22semidirect
199. C59×#449C22semidirect
200. C59×#447C22semidirect
201. C4×SD16×C59C22semidirect
202. C8×D4×C59C22semidirect
214. C2×Q8×D59C23semidirect
237. C2×Dic236C23semidirect
238. C2×#11745672C23semidirect
239. C2×#11745672C23semidirect
240. C2×#11745672C23semidirect
245. C2×#11745670C23semidirect
255. C2×#11745659C23semidirect
256. C2×#11745659C23semidirect
258. C22×C59⋊C8C23semidirect
259. #14273726C23semidirect
261. #14273725C23semidirect
267. #14273719C23semidirect
299. #14273706C23semidirect
315. #14273703C23semidirect
331. #14273698C23semidirect
341. Q8×Dic59C23semidirect
343. C4×Dic118C23semidirect
350. D4×Dic59C23semidirect
365. #14273686C23semidirect
378. C4⋊C4×D59C23semidirect
396. #14273661C23semidirect
397. #14273660C23semidirect
398. #14273659C23semidirect
399. #14273659C23semidirect
400. #14273658C23semidirect
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. #14273651C23semidirect
415. #14273650C23semidirect
416. #14273650C23semidirect
429. #14273648C23semidirect
433. C22⋊(C59⋊C8)C23semidirect
440. (C2×D59)⋊C8C23semidirect
441. (C2×D59)⋊C8C23semidirect
442. #14273637C23semidirect
443. #14273637C23semidirect
444. C4×C59⋊C8C23semidirect
446. C2×#41×C59C23semidirect
450. C2×Q16×C59C23semidirect
451. C2×Q16×C59C23semidirect
457. C2×SD16×C59C23semidirect
461. C22×C8×C59C23semidirect
464. #124×C59C23semidirect
468. C22⋊Q8×C59C23semidirect
474. C4×Q8×C59C23semidirect
479. #106×C59C23semidirect
480. C4⋊C8×C59C23semidirect
481. #103×C59C23semidirect
482. #103×C59C23semidirect
483. #103×C59C23semidirect
486. #102×C59C23semidirect
488. C22⋊C8×C59C23semidirect
489. C4×C8×C59C23semidirect
960. #3282D59semidirect
1000. C2×#135C2×D59semidirect
1002. C22×SD16C2×D59semidirect
1011. #548C2×D59semidirect
1049. #495C2×D59semidirect
1084. #465C2×D59semidirect
1085. #465C2×D59semidirect
1091. #464C2×D59semidirect
1095. #463C2×D59semidirect
1105. #452C2×D59semidirect
1110. #451C2×D59semidirect
1126. #449C2×D59semidirect
1133. #447C2×D59semidirect
1141. C4×SD16C2×D59semidirect
1149. C8×D4C2×D59semidirect
1164. C59#61601semidirect
1176. C2×#41C22×D59semidirect
1208. C2×Q16C22×D59semidirect
1209. C2×Q16C22×D59semidirect
1225. C2×SD16C22×D59semidirect
1237. C22×C8C22×D59semidirect
1259. #124C22×D59semidirect
1301. C22⋊Q8C22×D59semidirect
1336. C4×Q8C22×D59semidirect
1399. #106C22×D59semidirect
1403. C4⋊C8C22×D59semidirect
1415. #103C22×D59semidirect
1416. #103C22×D59semidirect
1417. #103C22×D59semidirect
1435. #102C22×D59semidirect
1447. C22⋊C8C22×D59semidirect
1451. C4×C8C22×D59semidirect

Maximal subgroups

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

subgroupindex
#214381382
#546×D592
#214363192
#214363172
#214361382
#214361362
#214360632
#214360612
#214359332
#214359312
#214358042
#214357332
#214357262
#214356212
#214356142
#214356062
#214355992
#214350972
#214350562
#214349182
#214349082
#214348722
#214348482
#214342332
#214341022
#214333532
#214333202
#214333102
C2×#168375512
#214331292
C59×#32822
#6160159