Finite Group Databasebeta

← #29473866

Subgroups — #29473866

Order 15104.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1974 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438127C211yesmaximal, characteristic, complemented
2#546×D59C211yesmaximal, characteristic, complemented
3#21436303C211yesmaximal, characteristic, complemented
4#21436301C211yesmaximal, characteristic, complemented
5#21436254C211yesmaximal, characteristic, complemented
6#21436252C211yesmaximal, characteristic, complemented
7#21436184C211yesmaximal, characteristic, complemented
8#21436182C211yesmaximal, characteristic, complemented
9#21435941C211yesmaximal, characteristic, complemented
10#21435939C211yesmaximal, characteristic, complemented
11#21435779C211yesmaximal, characteristic, complemented
12#21435775C211yesmaximal, characteristic, complemented
13#21435701C211yesmaximal, characteristic, complemented
14#21435700C211yesmaximal, characteristic, complemented
15#21435637C211yesmaximal, characteristic, complemented
16#21435575C211yesmaximal, characteristic, complemented
17#21435571C211yesmaximal, characteristic, complemented
18#21435078C211yesmaximal, characteristic, complemented
19#21435065C211yesmaximal, characteristic, complemented
20#21434908C211yesmaximal, characteristic, complemented
21#21434897C211yesmaximal, characteristic, complemented
22#21434875C211yesmaximal, characteristic, complemented
23#21434843C211yesmaximal, characteristic, complemented
24#21434238C211yesmaximal, characteristic, complemented
25#21434095C211yesmaximal, characteristic, complemented
26#21433345C211yesmaximal, characteristic, complemented
27#21433321C211yesmaximal, characteristic, complemented
28#21433310C211yesmaximal, characteristic, complemented
29#447×D59C211yesmaximal, characteristic, complemented
30#21433126C211yesmaximal, characteristic, complemented
31C59×#3268C211yesmaximal, characteristic, complemented
32C2×#41×D59C2211yescharacteristic, complemented
33C22×D4×D59C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273752C2211yescharacteristic, complemented
36C2×#14273751C2211yescharacteristic, complemented
37C2×#14273747C2211yescharacteristic, complemented
38C2×D8×D59C2211yescharacteristic, complemented
39C2×D8×D59C2211yescharacteristic, complemented
40#16838117C2211yescharacteristic, complemented
41#16838112C2211yescharacteristic, complemented
42#16838102—21no—
43#16838099C2211yescharacteristic, complemented
44#16838099C2211yescharacteristic, complemented
45#16838049C2211yescharacteristic, complemented
46#16838048C2211yescharacteristic, complemented
47#16838047C2211yescharacteristic
48#16838046C2211yescharacteristic, complemented
49#16838045C2211yescharacteristic
50#16838044—21no—
51#16838043C2211yescharacteristic, complemented
52#16838042—21no—
53#16838041—21no—
54#16838041—21no—
55#16838041—21no—
56#16838040C2211yescharacteristic, complemented
57#16838040C2211yescharacteristic, complemented
58#16838040C2211yescharacteristic, complemented
59#16838039—21no—
60#16838037—21no—
61#16838037C2211yescharacteristic, complemented
62#16838006—21no—
63#16837984—21no—
64#16837984—21no—
65#16837950C2211yescharacteristic, complemented
66#16837939C2211yescharacteristic, complemented
67#124×D59C2211yescharacteristic, complemented
68#16837909C2211yescharacteristic
69#16837909C2211yescharacteristic, complemented
70#123×D59—21no—
71C22⋊Q8×D59C2211yescharacteristic, complemented
72#121×D59—21no—
73#121×D59C2211yescharacteristic
74#121×D59C2211yescharacteristic, complemented
75#121×D59C2211yescharacteristic, complemented
76#120×D59—21no—
77#16837874—21no—
78C4×D4×D59C2211yescharacteristic
79C4×D4×D59C2211yescharacteristic, complemented
80C2×C22⋊C4×D59—21no—
81#16837789C2211yescharacteristic, complemented
82#16837787C2211yescharacteristic, complemented
83#16837783C2211yescharacteristic, complemented
84#16837762C2211yescharacteristic, complemented
85#16837761C2211yescharacteristic, complemented
86#16837758C2211yescharacteristic, complemented
87#16837755C2211yescharacteristic, complemented
88#16837744C2211yescharacteristic, complemented
89#16837740C2211yescharacteristic, complemented
90#16837739C2211yescharacteristic, complemented
91#16837736C2211yescharacteristic, complemented
92#16837731C2211yescharacteristic, complemented
93#16837727C2211yescharacteristic, complemented
94#16837723C2211yescharacteristic, complemented
95#16837717C2211yescharacteristic, complemented
96#16837717C2211yescharacteristic, complemented
97#16837714C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837705C2211yescharacteristic, complemented
101#16837704C2211yescharacteristic, complemented
102#16837683C2211yescharacteristic, complemented
103#16837682C2211yescharacteristic, complemented
104#16837654C2211yescharacteristic, complemented
105#16837652C2211yescharacteristic, complemented
106#16837651C2211yescharacteristic, complemented
107#16837650C2211yescharacteristic, complemented
108#16837648C2211yescharacteristic, complemented
109#16837646C2211yescharacteristic, complemented
110#16837645C2211yescharacteristic, complemented
111#16837642C2211yescharacteristic, complemented
112#16837640C2211yescharacteristic, complemented
113#16837638C2211yescharacteristic, complemented
114#16837636C2211yescharacteristic, complemented
115#16837636C2211yescharacteristic, complemented
116#16837630C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837624C2211yescharacteristic, complemented
119#16837620C2211yescharacteristic, complemented
120#16837619C2211yescharacteristic, complemented
121#16837619C2211yescharacteristic, complemented
122#16837619C2211yescharacteristic, complemented
123#16837618C2211yescharacteristic, complemented
124#16837615C2211yescharacteristic, complemented
125#16837615C2211yescharacteristic, complemented
126#16837614C2211yescharacteristic, complemented
127#16837594C2211yescharacteristic, complemented
128#16837564C2211yescharacteristic, complemented
129#16837563C2211yescharacteristic, complemented
130#16837561C2211yescharacteristic, complemented
131#16837556C2211yescharacteristic, complemented
132#16837554C2211yescharacteristic, complemented
133#16837551C2211yescharacteristic, complemented
134#16837551C2211yescharacteristic, complemented
135#16837551C2211yescharacteristic, complemented
136#16837551C2211yescharacteristic, complemented
137#16837551C2211yescharacteristic, complemented
138#16837549C2211yescharacteristic, complemented
139#16837547C2211yescharacteristic, complemented
140#16837547C2211yescharacteristic, complemented
141#16837546C2211yescharacteristic, complemented
142#16837545C2211yescharacteristic, complemented
143#16837544C2211yescharacteristic, complemented
144#16837542C2211yescharacteristic, complemented
145#16837539C2211yescharacteristic, complemented
146#16837539C2211yescharacteristic, complemented
147#16837538C2211yescharacteristic, complemented
148#16837537C2211yescharacteristic
149#16837537C2211yescharacteristic
150#16837537C2211yescharacteristic, complemented
151#16837536C2211yescharacteristic, complemented
152#16837535C2211yescharacteristic, complemented
153#16837534C2211yescharacteristic, complemented
154#16837534C2211yescharacteristic, complemented
155#16837534C2211yescharacteristic, complemented
156#16837534C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837515C2211yescharacteristic, complemented
161#16837512C2211yescharacteristic, complemented
162#16837500C2211yescharacteristic, complemented
163D8×Dic59C2211yescharacteristic, complemented
164D8×Dic59C2211yescharacteristic, complemented
165#16837482C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic, complemented
167#16837478C2211yescharacteristic, complemented
168#16837477C2211yescharacteristic, complemented
169#16837475C2211yescharacteristic, complemented
170#16837474C2211yescharacteristic, complemented
171#16837472C2211yescharacteristic, complemented
172C8×C22⋊D59C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic, complemented
174#16837457C2211yescharacteristic, complemented
175#16837454C2211yescharacteristic, complemented
176#16837408C2211yescharacteristic, complemented
177#16837407C2211yescharacteristic, complemented
178#16837402C2211yescharacteristic, complemented
179#16837400C2211yescharacteristic, complemented
180#16837399C2211yescharacteristic, complemented
181#16837398C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837365C2211yescharacteristic, complemented
185#16837364C2211yescharacteristic, complemented
186C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C2×#135×C59C2211yescharacteristic, complemented
190C59×#550C2211yescharacteristic, complemented
191C59×#546C2211yescharacteristic, complemented
192C59×#496C2211yescharacteristic, complemented
193C59×#468C2211yescharacteristic, complemented
194C59×#466C2211yescharacteristic, complemented
195C59×#464C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#449C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203C24×D59—21no—
204C2×#11745689C2311yescharacteristic
205C2×#11745685—21no—
206C2×#11745685C2311yescharacteristic
207C2×#11745687—21no—
208C2×#11745687—21no—
209C2×#11745687C2311yescharacteristic
210#41×D59—42no—
211#41×D59—42no—
212C2×Q8×D59C2311yescharacteristic
213C22×D236C2311yescharacteristic
214C22×C22⋊D59—21no—
215C2×D4×D59—21no—
216C2×D4×D59—21no—
217C2×D4×D59—21no—
218C2×D4×D59—21no—
219C2×D4×D59—21no—
220C2×D4×D59—21no—
221C2×D4×D59—21no—
222C2×D4×D59—42no—
223C2×D4×D59—42no—
224C2×D4×D59D411yescharacteristic
225C2×D4×D59C2311yescharacteristic
226C2×D4×D59C2311yescharacteristic
227C2×D4×D59C2311yescharacteristic
228C2×D4×D59C2311yescharacteristic
229C2×D4×D59C2311yescharacteristic
230C2×D4×D59C2311yescharacteristic, complemented
231C22×C4×D59—21no—
232C22×C4×D59—21no—
233C22×C4×D59C2311yescharacteristic
234C22×C4×D59C2311yescharacteristic
235#14273754—42no—
236#14273752—42no—
237#14273751—42no—
238#14273747—42no—
239C2×#11745672C2311yescharacteristic, complemented
240C2×#11745660C2311yescharacteristic, complemented
241C2×#11745670C2311yescharacteristic, complemented
242C2×#11745670C2311yescharacteristic, complemented
243C2×#11745671C2311yescharacteristic
244C2×#11745671C2311yescharacteristic
245C2×#11745671C2311yescharacteristic, complemented
246C2×D472C2311yescharacteristic
247C2×D472C2311yescharacteristic
248C2×#11745669C2311yescharacteristic
249C2×#11745669C2311yescharacteristic
250C2×#11745669C2311yescharacteristic
251C2×#11745669C2311yescharacteristic
252C2×#11745669C2311yescharacteristic
253C2×#11745669C2311yescharacteristic
254D8×D59—42no—
255D8×D59—42no—
256C2×#11745664C2311yescharacteristic
257C2×#11745659C2311yescharacteristic, complemented
258C2×#11745659C2311yescharacteristic, complemented
259C22×C59⋊C8C2311yescharacteristic, complemented
260C2×C8×D59C2311yescharacteristic
261C2×C8×D59C2311yescharacteristic
262#14273727C2311yescharacteristic, complemented
263#14273722—21no—
264#14273720—21no—
265#14273720—21no—
266#14273719—21no—
267#14273718C2311yescharacteristic, complemented
268#14273716C2311yescharacteristic
269#14273716C2311yescharacteristic, complemented
270#14273715C2311yescharacteristic
271#14273714—21no—
272#14273714C2311yescharacteristic
273#14273713—21no—
274#14273713—21no—
275#14273713—21no—
276#14273713—21no—
277#14273712—21no—
278#14273712—21no—
279#14273712—21no—
280#14273711—21no—
281#14273710—21no—
282#14273710—21no—
283#14273710—21no—
284#14273709—21no—
285#14273709—21no—
286#14273708—21no—
287#14273708—21no—
288#14273708—21no—
289#14273708—21no—
290#14273708—21no—
291#14273707C2311yescharacteristic
292#14273706C2311yescharacteristic
293#14273705—21no—
294#14273705—21no—
295#14273705—21no—
296#14273704—21no—
297#14273703C2311yescharacteristic
298#14273703C2311yescharacteristic
299#14273703C2311yescharacteristic
300#14273703C2311yescharacteristic, complemented
301#14273702—21no—
302#14273702C2311yescharacteristic
303#14273702C2311yescharacteristic
304#14273701—21no—
305#14273701C2311yescharacteristic
306#14273701C2311yescharacteristic
307#14273701C2311yescharacteristic, complemented
308#14273700—21no—
309#14273700—21no—
310#14273700—21no—
311#14273700—21no—
312#14273700—21no—
313#14273699—21no—
314#14273699—21no—
315#14273699—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#14273698—21no—
326#14273698C2311yescharacteristic
327#14273698C2311yescharacteristic
328#14273698C2311yescharacteristic
329#14273698C2311yescharacteristic
330#14273698C2311yescharacteristic, complemented
331#14273697—21no—
332#14273697—21no—
333#14273697—21no—
334#14273696—21no—
335#14273695—21no—
336#14273695—21no—
337#14273695—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695—21no—
342#14273695—21no—
343#14273695—21no—
344C4×D236—21no—
345C4×D236—21no—
346C4×D236C2311yescharacteristic
347C4×D236C2311yescharacteristic
348C4×D236C2311yescharacteristic, complemented
349D4×Dic59—21no—
350D4×Dic59D411yescharacteristic
351D4×Dic59C2311yescharacteristic
352D4×Dic59C2311yescharacteristic, complemented
353D4×Dic59C2311yescharacteristic, complemented
354#14273689D411yescharacteristic
355#14273689C2311yescharacteristic
356C4×C22⋊D59—21no—
357C4×C22⋊D59—21no—
358C4×C22⋊D59—21no—
359C4×C22⋊D59—21no—
360C4×C22⋊D59—21no—
361C4×C22⋊D59C2311yescharacteristic
362C4×C22⋊D59C2311yescharacteristic
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4—21no—
365(C22⋊D59)⋊C4—21no—
366(C22⋊D59)⋊C4D411yescharacteristic
367(C22⋊D59)⋊C4D411yescharacteristic
368#14273686C2311yescharacteristic
369#14273686C2311yescharacteristic, complemented
370#14273685—21no—
371#14273684—21no—
372C4⋊C4×D59—21no—
373C4⋊C4×D59D411yescharacteristic
374C4⋊C4×D59C2311yescharacteristic
375C4⋊C4×D59C2311yescharacteristic
376C4⋊C4×D59C2311yescharacteristic, complemented
377C2×C22⋊Dic59—21no—
378C2×(C2×D59)⋊C4—21no—
379C2×(C2×D59)⋊C4—21no—
380C2×(C2×D59)⋊C4—21no—
381C2×(C2×D59)⋊C4—21no—
382C22⋊C4×D59—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#14273661C2311yescharacteristic, complemented
398#14273660C2311yescharacteristic, complemented
399#14273660C2311yescharacteristic, complemented
400#14273660C2311yescharacteristic, complemented
401#14273659C2311yescharacteristic, 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#14273651C2311yescharacteristic, complemented
410#14273651C2311yescharacteristic, complemented
411#14273651C2311yescharacteristic, complemented
412#14273651C2311yescharacteristic, complemented
413#14273650C2311yescharacteristic, complemented
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic, complemented
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic, complemented
428#14273648C2311yescharacteristic, complemented
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic, complemented
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#14273638C2311yescharacteristic, complemented
443C8×Dic59C2311yescharacteristic, complemented
444C8×Dic59C2311yescharacteristic, complemented
445C2×#41×C59C2311yescharacteristic
446C2×#41×C59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic, complemented
448C22×D4×C59C2311yescharacteristic
449AGL(1,ℤ/8)×C59—42no—
450#135×C59—42no—
451C2×Q16×C59C2311yescharacteristic, complemented
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×SD16×C59C2311yescharacteristic, complemented
455C2×SD16×C59C2311yescharacteristic, complemented
456C2×D8×C59C2311yescharacteristic
457C2×D8×C59C2311yescharacteristic
458C2×D8×C59C2311yescharacteristic
459C2×D8×C59C2311yescharacteristic
460C2×M16×C59C2311yescharacteristic
461C22×C8×C59C2311yescharacteristic, complemented
462#127×C59—21no—
463#127×C59C2311yescharacteristic, complemented
464#124×C59C2311yescharacteristic
465#123×C59—21no—
466C22⋊Q8×C59C2311yescharacteristic
467#121×C59—21no—
468#121×C59—21no—
469#121×C59—21no—
470#121×C59C2311yescharacteristic
471#121×C59C2311yescharacteristic
472#121×C59C2311yescharacteristic, complemented
473#120×C59—21no—
474C4×Q8×C59C2311yescharacteristic, complemented
475C4×D4×C59—21no—
476C4×D4×C59C2311yescharacteristic
477C4×D4×C59C2311yescharacteristic
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
489#97×C59C2311yescharacteristic, complemented
490C24×C59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496C23×D59—21no—
497C23×D59—21no—
498C23×D59—44no—
499C23×D59—44no—
500C23×D59—82no—
501C23×D59C2×D411yescharacteristic
502C23×D59C2×D411yescharacteristic
503#41×C59—22no—
504#41×C59—41no—
505#41×C59—41no—
506#41×C59—41no—
507#41×C59—41no—
508#41×C59—41no—
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—21no—
518C2×D4×C59—21no—
519C2×D4×C59—21no—
520C2×D4×C59—21no—
521C2×D4×C59—41no—
522C2×D4×C59C2×D411yescharacteristic
523C2×D4×C59C2411yescharacteristic
524C2×D4×C59C2411yescharacteristic
525C2×D4×C59C2411yescharacteristic
526C2×D4×C59C2411yescharacteristic
527C22×C4×C59—21no—
528C22×C4×C59—21no—
529C22×C4×C59—21no—
530C22×C4×C59—21no—
531C22×C4×C59C2411yescharacteristic
532C22×C4×C59C2411yescharacteristic
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—21no—
544C2×C22⋊D59—21no—
545C2×C22⋊D59—21no—
546C2×C22⋊D59—21no—
547C2×C22⋊D59—21no—
548C2×C22⋊D59—21no—
549C2×C22⋊D59—44no—
550C2×C22⋊D59C2×D411yescharacteristic
551C2×C22⋊D59C2×D411yescharacteristic
552C22×Dic59—21no—
553C22×Dic59—21no—
554C22×Dic59—21no—
555C22×Dic59—21no—
556C22×Dic59C2×D411yescharacteristic
557C22×Dic59C2×D411yescharacteristic
558#11745689—22no—
559#11745689—41no—
560Q8×D59—41no—
561Q8×D59—41no—
562#11745687—22no—
563#11745687—41no—
564#11745687—44no—
565#11745687—82no—
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—41no—
575D4×D59—41no—
576D4×D59—41no—
577D4×D59—41no—
578D4×D59—42no—
579D4×D59—44no—
580D4×D59—44no—
581D4×D59—44no—
582D4×D59—44no—
583D4×D59—82no—
584D4×D59—82no—
585D4×D59—82no—
586#11745685—22no—
587#11745685—41no—
588#11745685—44no—
589C2×D236—22no—
590C2×D236—21no—
591C2×D236—21no—
592C2×D236—21no—
593C2×D236—21no—
594C2×D236—41no—
595C2×D236C2×D411yescharacteristic
596C2×D236C2411yescharacteristic
597C2×D236C2411yescharacteristic
598C2×D236C2411yescharacteristic
599C2×C4×D59—21no—
600C2×C4×D59—21no—
601C2×C4×D59—21no—
602C2×C4×D59—21no—
603C2×C4×D59—21no—
604C2×C4×D59—21no—
605C2×C4×D59—21no—
606C2×C4×D59—21no—
607C2×C4×D59—21no—
608C2×C4×D59—41no—
609C2×C4×D59—41no—
610C2×C4×D59—41no—
611C2×C4×D59—41no—
612C2×C4×D59—44no—
613C2×C4×D59—82no—
614C2×C4×D59C2×D411yescharacteristic
615C2×C4×D59C2×D411yescharacteristic
616C2×C4×D59C2×D411yescharacteristic
617C2×C4×D59C2×D411yescharacteristic
618C2×C4×D59C2×D411yescharacteristic
619C2×C4×D59C2×D411yescharacteristic
620C2×C4×D59C2411yescharacteristic
621C2×C4×D59C2411yescharacteristic
622C2×C4×D59C2411yescharacteristic
623C2×Dic118—21no—
624C2×Dic118—21no—
625C2×Dic118C2411yescharacteristic
626Q16×C59—41no—
627SD16×C59—22no—
628SD16×C59—41no—
629SD16×C59—41no—
630SD16×C59—41no—
631D8×C59—22no—
632D8×C59—22no—
633D8×C59—41no—
634D8×C59—41no—
635M16×C59—41no—
636C2×C8×C59—41no—
637C2×C8×C59C2411yescharacteristic
638C2×C8×C59C2411yescharacteristic
639C2×C8×C59C2411yescharacteristic
640C2×C8×C59C2411yescharacteristic
641C4⋊C4×C59—21no—
642C4⋊C4×C59—21no—
643C4⋊C4×C59C2×D411yescharacteristic
644C4⋊C4×C59C2411yescharacteristic
645C4⋊C4×C59C2411yescharacteristic
646C22⋊C4×C59—21no—
647C22⋊C4×C59—21no—
648C22⋊C4×C59—21no—
649C22⋊C4×C59—21no—
650C22⋊C4×C59—21no—
651C22⋊C4×C59—21no—
652C22⋊C4×C59—21no—
653C22⋊C4×C59C2×D411yescharacteristic
654C22⋊C4×C59C2×D411yescharacteristic
655C42×C59—21no—
656C42×C59C2411yescharacteristic
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⋊Dic59—21no—
666C22⋊Dic59—21no—
667C22⋊Dic59—21no—
668C22⋊Dic59—21no—
669C22⋊Dic59—21no—
670C22⋊Dic59C2×D411yescharacteristic
671C22⋊Dic59C2×D411yescharacteristic
672#11745672—41no—
673#11745671—22no—
674#11745671—41no—
675#11745671—41no—
676#11745670—41no—
677#11745670—41no—
678#11745669—22no—
679#11745669—22no—
680#11745669—22no—
681#11745669—41no—
682#11745669—41no—
683#11745669—41no—
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)⋊C4—21no—
694(C2×D59)⋊C4—21no—
695(C2×D59)⋊C4—21no—
696(C2×D59)⋊C4—21no—
697(C2×D59)⋊C4—21no—
698(C2×D59)⋊C4—21no—
699(C2×D59)⋊C4—21no—
700(C2×D59)⋊C4—21no—
701(C2×D59)⋊C4—21no—
702(C2×D59)⋊C4—21no—
703(C2×D59)⋊C4C2×D411yescharacteristic
704(C2×D59)⋊C4C2×D411yescharacteristic
705(C2×D59)⋊C4C2×D411yescharacteristic
706(C2×D59)⋊C4C2×D411yescharacteristic
707C4⋊Dic59—21no—
708C4⋊Dic59—21no—
709C4⋊Dic59—21no—
710C4⋊Dic59C2×D411yescharacteristic
711C4⋊Dic59C2411yescharacteristic
712C4⋊Dic59C2411yescharacteristic
713C4⋊Dic59C2411yescharacteristic
714C4⋊Dic59C2411yescharacteristic
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4—21no—
718Dic59⋊C4—21no—
719Dic59⋊C4—21no—
720Dic59⋊C4—21no—
721Dic59⋊C4—21no—
722Dic59⋊C4—21no—
723Dic59⋊C4—21no—
724Dic59⋊C4C2×D411yescharacteristic
725Dic59⋊C4C2×D411yescharacteristic
726C4×Dic59—21no—
727C4×Dic59—21no—
728C4×Dic59C2×D411yescharacteristic
729C4×Dic59C2×D411yescharacteristic
730C4×Dic59C2411yescharacteristic
731#11745664—41no—
732C2×C59⋊C8—41no—
733C2×C59⋊C8C2411yescharacteristic
734C2×C59⋊C8C2411yescharacteristic
735C2×C59⋊C8C2411yescharacteristic
736C2×C59⋊C8C2411yescharacteristic
737D472—22no—
738D472—41no—
739#11745660—41no—
740#11745659—41no—
741#11745659—41no—
742C8×D59—41no—
743C8×D59—41no—
744C23×C59—21no—
745C23×C59—21no—
746C23×C59—21no—
747C23×C59—21no—
748C23×C59—42no—
749C23×C59—42no—
750C23×C59—81no—
751C23×C59C22×D411yescharacteristic
752C23×C59C22×D411yescharacteristic
753C22×D59—24no—
754C22×D59—21no—
755C22×D59—22no—
756C22×D59—22no—
757C22×D59—22no—
758C22×D59—21no—
759C22×D59—21no—
760C22×D59—41no—
761C22×D59—41no—
762C22×D59—41no—
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—42no—
773C22×D59—42no—
774C22×D59—42no—
775C22×D59—42no—
776C22×D59—81no—
777C22×D59—81no—
778C22×D59—81no—
779C22×D59—81no—
780C22×D59—81no—
781C22×D59—81no—
782C22×D59—81no—
783C22×D59—816no—
784C22×D59C22×D411yescharacteristic
785C22×D59C22×D411yescharacteristic
786C22×D59C22×D411yescharacteristic
787Q8×C59—21no—
788Q8×C59—21no—
789Q8×C59—21no—
790Q8×C59—21no—
791D4×C59—21no—
792D4×C59—21no—
793D4×C59—21no—
794D4×C59—21no—
795D4×C59—21no—
796D4×C59—21no—
797D4×C59—21no—
798D4×C59—41no—
799D4×C59—42no—
800D4×C59—42no—
801D4×C59—42no—
802D4×C59—81no—
803D4×C59—81no—
804D4×C59—81no—
805D4×C59—81no—
806D4×C59—81no—
807D4×C59—81no—
808D4×C59H(5,𝔽2)12yes—
809C2×C4×C59—21no—
810C2×C4×C59—21no—
811C2×C4×C59—21no—
812C2×C4×C59—21no—
813C2×C4×C59—21no—
814C2×C4×C59—21no—
815C2×C4×C59—21no—
816C2×C4×C59—21no—
817C2×C4×C59—42no—
818C2×C4×C59—81no—
819C2×C4×C59—81no—
820C2×C4×C59—81no—
821C2×C4×C59C22×D411yescharacteristic
822C2×C4×C59C22×D411yescharacteristic
823C2×C4×C59C22×D411yescharacteristic
824C2×C4×C59C22×D411yescharacteristic
825C2×C4×C59C2511yescharacteristic
826C22⋊D59—24no—
827C22⋊D59—22no—
828C22⋊D59—41no—
829C22⋊D59—42no—
830C22⋊D59—42no—
831C22⋊D59—42no—
832C22⋊D59—42no—
833C22⋊D59—42no—
834C22⋊D59—42no—
835C22⋊D59—42no—
836C22⋊D59—42no—
837C22⋊D59—42no—
838C22⋊D59—81no—
839C22⋊D59—81no—
840C22⋊D59—81no—
841C22⋊D59—81no—
842C22⋊D59—81no—
843C22⋊D59—81no—
844C2×Dic59—21no—
845C2×Dic59—21no—
846C2×Dic59—21no—
847C2×Dic59—21no—
848C2×Dic59—21no—
849C2×Dic59—41no—
850C2×Dic59—41no—
851C2×Dic59—42no—
852C2×Dic59—81no—
853C2×Dic59—81no—
854C2×Dic59—81no—
855C2×Dic59C22×D411yescharacteristic
856C2×Dic59C22×D411yescharacteristic
857C2×Dic59C22×D411yescharacteristic
858C2×Dic59C22×D411yescharacteristic
859C2×Dic59C22×D411yescharacteristic
860D236—22no—
861D236—21no—
862D236—21no—
863D236—21no—
864D236—21no—
865D236—21no—
866D236—42no—
867D236—42no—
868D236—42no—
869D236—81no—
870D236H(5,𝔽2)12yes—
871C4×D59—22no—
872C4×D59—21no—
873C4×D59—21no—
874C4×D59—21no—
875C4×D59—21no—
876C4×D59—21no—
877C4×D59—21no—
878C4×D59—41no—
879C4×D59—41no—
880C4×D59—41no—
881C4×D59—41no—
882C4×D59—41no—
883C4×D59—42no—
884C4×D59—42no—
885C4×D59—42no—
886C4×D59—42no—
887C4×D59—42no—
888C4×D59—81no—
889C4×D59—81no—
890C4×D59—81no—
891C4×D59—81no—
892Dic118—21no—
893Dic118—21no—
894Dic118—42no—
895Dic118—81no—
896C8×C59—21no—
897C8×C59—21no—
898C8×C59—21no—
899C8×C59—21no—
900C59⋊C8—21no—
901C59⋊C8—21no—
902C59⋊C8—21no—
903C59⋊C8—21no—
904#61592—591nomaximal, Sylow
905C22×C59—22no—
906C22×C59—21no—
907C22×C59—21no—
908C22×C59—21no—
909C22×C59—21no—
910C22×C59—21no—
911C22×C59—21no—
912C22×C59—41no—
913C22×C59—41no—
914C22×C59—41no—
915C22×C59—41no—
916C22×C59—41no—
917C22×C59—41no—
918C22×C59—41no—
919C22×C59—41no—
920C22×C59—41no—
921C22×C59—41no—
922C22×C59—41no—
923C22×C59—84no—
924C22×C59C23×D411yescharacteristic
925C2×D59—21no—
926C2×D59—21no—
927C2×D59—21no—
928C2×D59—21no—
929C2×D59—21no—
930C2×D59—22no—
931C2×D59—21no—
932C2×D59—21no—
933C2×D59—44no—
934C2×D59—48no—
935C2×D59—41no—
936C2×D59—41no—
937C2×D59—41no—
938C2×D59—41no—
939C2×D59—41no—
940C2×D59—41no—
941C2×D59—41no—
942C2×D59—41no—
943C2×D59—82no—
944C2×D59—84no—
945C2×D59—84no—
946C2×D59—84no—
947C2×D59—84no—
948C2×D59—162no—
949C2×D59—162no—
950C2×D59#57512yes—
951C2×D59#57612yes—
952C4×C59—21no—
953C4×C59—21no—
954C4×C59—21no—
955C4×C59—21no—
956C4×C59—41no—
957C4×C59—41no—
958C4×C59—41no—
959C4×C59—41no—
960C4×C59C2×H(5,𝔽2)11yescharacteristic
961C4×C59C2×H(5,𝔽2)11yescharacteristic
962Dic59—21no—
963Dic59—21no—
964Dic59—21no—
965Dic59—21no—
966Dic59—21no—
967Dic59—41no—
968Dic59—41no—
969Dic59—41no—
970Dic59—41no—
971Dic59—41no—
972#3519—591no—
973C2×#546—591no—
974#3322—591no—
975#3322—591no—
976#3319—591no—
977#3319—591no—
978#3314—591no—
979#3314—591no—
980#3297—591no—
981#3297—591no—
982#3280—591no—
983#3280—591no—
984#3273—591no—
985#3273—591no—
986#3268—591no—
987#3268D5911yescharacteristic, complemented
988#3264—591no—
989#3264—591no—
990#3213—591no—
991#3211—591no—
992#3194—591no—
993#3193—591no—
994#3190—591no—
995#3186—591no—
996#3114—591no—
997#3100—591no—
998#3006—591no—
999#3003—591no—
1000#3002—591no—
1001C2×#447—591no—
1002#2974—591no—
1003C2×C59—41no—
1004C2×C59—42no—
1005C2×C59—41no—
1006C2×C59—81no—
1007C2×C59—81no—
1008C2×C59—81no—
1009C2×C59#348411yescharacteristic
1010C2×C59C2×#57511yescharacteristic
1011C2×C59C2×#57611yescharacteristic
1012D59—22no—
1013D59—22no—
1014D59—41no—
1015D59—42no—
1016D59—81no—
1017D59—81no—
1018C22×#41—591no—
1019C23×D4—591no—
1020C2×AGL(1,ℤ/8)—591no—
1021C2×AGL(1,ℤ/8)—591no—
1022C2×AGL(1,ℤ/8)—591no—
1023C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
1024C2×#135—591no—
1025C2×#135C2×D5911yescharacteristic, complemented
1026C22×D8—591no—
1027C22×D8—591no—
1028#555—591no—
1029#554—591no—
1030#553—591no—
1031#553—591no—
1032#553—1181no—
1033#550C2×D5911yescharacteristic, complemented
1034#546—591no—
1035#546—591no—
1036#546—591no—
1037#546—591no—
1038#546—591no—
1039#546—591no—
1040#546—591no—
1041#546—591no—
1042#546—591no—
1043#546—1181no—
1044#546—1181no—
1045#546—1181no—
1046#546—1181no—
1047#546—1181no—
1048#546—1181no—
1049#546C2×D5911yescharacteristic, complemented
1050D42—591no—
1051D42—1181no—
1052#540—1181no—
1053#538—1181no—
1054#538—1181no—
1055#532—591no—
1056#529—591no—
1057C2×#124—591no—
1058#525—591no—
1059#525—591no—
1060C2×#123—1181no—
1061C2×C22⋊Q8—591no—
1062C2×#121—591no—
1063C2×#121—591no—
1064C2×#121—591no—
1065C2×#121—1181no—
1066C2×#120—1181no—
1067#518—1181no—
1068C2×C4×D4—591no—
1069C2×C4×D4—591no—
1070C22×C22⋊C4—1181no—
1071#496—591no—
1072#496C2×D5911yescharacteristic, complemented
1073#495—591no—
1074#495—591no—
1075#489—591no—
1076#489—591no—
1077#488—591no—
1078#488—591no—
1079#485—591no—
1080#485—591no—
1081#484—591no—
1082#484—591no—
1083#483—591no—
1084#482—591no—
1085#482—591no—
1086#480—591no—
1087#480—591no—
1088#480—591no—
1089#480—591no—
1090#480—591no—
1091#478—591no—
1092#478—591no—
1093#474—591no—
1094#474—591no—
1095#469—591no—
1096#469—591no—
1097#468—591no—
1098#468—591no—
1099#468—591no—
1100#468—591no—
1101#468—591no—
1102#468C2×D5911yescharacteristic, complemented
1103#467—591no—
1104#467—591no—
1105#466—591no—
1106#466—591no—
1107#466—591no—
1108#466C2×D5911yescharacteristic, complemented
1109#465—591no—
1110#465—591no—
1111#464—591no—
1112#464C2×D5911yescharacteristic, complemented
1113#463—591no—
1114#463—591no—
1115#463—591no—
1116#463—591no—
1117#463—591no—
1118#463—591no—
1119#463—591no—
1120#463—591no—
1121#459—591no—
1122#459C2×D5911yescharacteristic, complemented
1123#452—591no—
1124#452—591no—
1125#452—591no—
1126#452C2×D5911yescharacteristic, complemented
1127#451—591no—
1128#450—591no—
1129#450—591no—
1130#450—591no—
1131#450—591no—
1132#450—591no—
1133#450—591no—
1134#449—591no—
1135#449—591no—
1136#449—591no—
1137#449—591no—
1138#449—591no—
1139#449—591no—
1140#449C2×D5911yescharacteristic, complemented
1141#449C2×D5911yescharacteristic, complemented
1142#448—591no—
1143#448—591no—
1144#448—591no—
1145#447—591no—
1146#447—591no—
1147#447—591no—
1148#447—591no—
1149#447—591no—
1150#447—591no—
1151#447—591no—
1152#447—591no—
1153#447—591no—
1154#447—591no—
1155#447—591no—
1156#447—591no—
1157#447—591no—
1158#447C2×D5911yescharacteristic, complemented
1159#442—591no—
1160#442—591no—
1161#440—591no—
1162#440C2×D5911yescharacteristic, complemented
1163C4×D8—591no—
1164C4×D8—591no—
1165C4×D8—591no—
1166C4×D8—591no—
1167#436—591no—
1168#436—591no—
1169#435—591no—
1170#435—591no—
1171#435—591no—
1172#435C2×D5911yescharacteristic, complemented
1173C8×D4—591no—
1174C8×D4—591no—
1175#432—591no—
1176#431—591no—
1177#418—591no—
1178#418—591no—
1179#417—591no—
1180#417—591no—
1181#416—591no—
1182#416—591no—
1183C2×#102—591no—
1184C2×#102—591no—
1185#407—591no—
1186#407—591no—
1187C2×C22⋊C8—591no—
1188C2×C22⋊C8—591no—
1189C59#6159211yescharacteristic, complemented, Sylow
1190C25—1181no—
1191C2×#41—591no—
1192C2×#41—591no—
1193C2×#41—591no—
1194C2×#41—1181no—
1195C2×#41—1181no—
1196C2×#41—1181no—
1197C2×#41—2362no—
1198C2×#41—2362no—
1199C2×#41C22×D5911yescharacteristic
1200C2×#41C22×D5911yescharacteristic
1201C2×#41C22×D5911yescharacteristic, complemented
1202C22×Q8—591no—
1203C22×D4—591no—
1204C22×D4—591no—
1205C22×D4—591no—
1206C22×D4—591no—
1207C22×D4—591no—
1208C22×D4—591no—
1209C22×D4—591no—
1210C22×D4—591no—
1211C22×D4—1181no—
1212C22×D4—1181no—
1213C22×D4—1181no—
1214C22×D4—1181no—
1215C22×D4—1181no—
1216C22×D4—1181no—
1217C22×D4—1181no—
1218C22×D4—1181no—
1219C22×D4—2362no—
1220C22×D4—2362no—
1221C22×D4C22×D5911yescharacteristic
1222C23×C4—591no—
1223C23×C4—591no—
1224C23×C4—1181no—
1225C23×C4—1181no—
1226AGL(1,ℤ/8)—42no—
1227AGL(1,ℤ/8)—2362no—
1228AGL(1,ℤ/8)—2362no—
1229AGL(1,ℤ/8)—2362no—
1230#135—42no—
1231#135—2362no—
1232C2×Q16—591no—
1233C2×Q16C22×D5911yescharacteristic, complemented
1234C2×SD16—591no—
1235C2×SD16—591no—
1236C2×SD16—591no—
1237C2×SD16—591no—
1238C2×SD16—591no—
1239C2×SD16—591no—
1240C2×SD16C22×D5911yescharacteristic
1241C2×SD16C22×D5911yescharacteristic
1242C2×SD16C22×D5911yescharacteristic, complemented
1243C2×SD16C22×D5911yescharacteristic, complemented
1244C2×D8—591no—
1245C2×D8—591no—
1246C2×D8—591no—
1247C2×D8—591no—
1248C2×D8—591no—
1249C2×D8—591no—
1250C2×D8—591no—
1251C2×D8—591no—
1252C2×D8—2362no—
1253C2×D8—2362no—
1254C2×D8C22×D5911yescharacteristic
1255C2×D8C22×D5911yescharacteristic
1256C2×D8C22×D5911yescharacteristic
1257C2×D8C22×D5911yescharacteristic
1258C2×M16—591no—
1259C2×M16—591no—
1260C2×M16—591no—
1261C2×M16C22×D5911yescharacteristic
1262C22×C8—591no—
1263C22×C8—591no—
1264C22×C8—591no—
1265C22×C8C22×D5911yescharacteristic, complemented
1266C4⋊Q8—591no—
1267#127—21no—
1268#127C22×D5911yescharacteristic, complemented
1269#126—1181no—
1270#126—1181no—
1271#126—1181no—
1272#125—591no—
1273#125—1181no—
1274#124—591no—
1275#124—591no—
1276#124—591no—
1277#124—591no—
1278#124—1181no—
1279#124—1181no—
1280#124—1181no—
1281#124—1181no—
1282#124—1181no—
1283#124C22×D5911yescharacteristic
1284#123—21no—
1285#123—1181no—
1286#123—1181no—
1287#123—1181no—
1288#123—1181no—
1289#123—1181no—
1290#123—1181no—
1291#123—1181no—
1292#123—1181no—
1293#123—1181no—
1294#123—1181no—
1295#123—1181no—
1296#123—1181no—
1297#123—1181no—
1298#123—1181no—
1299C22⋊Q8—591no—
1300C22⋊Q8—591no—
1301C22⋊Q8—591no—
1302C22⋊Q8—591no—
1303C22⋊Q8—591no—
1304C22⋊Q8—591no—
1305C22⋊Q8—1181no—
1306C22⋊Q8—1181no—
1307C22⋊Q8—1181no—
1308C22⋊Q8—1181no—
1309C22⋊Q8C22×D5911yescharacteristic
1310#121—21no—
1311#121—21no—
1312#121—21no—
1313#121—591no—
1314#121—591no—
1315#121—591no—
1316#121—591no—
1317#121—591no—
1318#121—591no—
1319#121—591no—
1320#121—591no—
1321#121—591no—
1322#121—591no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121—1181no—
1329#121—1181no—
1330#121—1181no—
1331#121—1181no—
1332#121—1181no—
1333#121—1181no—
1334#121—1181no—
1335#121—1181no—
1336#121—1181no—
1337#121—1181no—
1338#121—1181no—
1339#121—1181no—
1340#121—1181no—
1341#121—1181no—
1342#121—1181no—
1343#121C22×D5911yescharacteristic
1344#121C22×D5911yescharacteristic
1345#121C22×D5911yescharacteristic, complemented
1346#120—21no—
1347#120—1181no—
1348#120—1181no—
1349#120—1181no—
1350#120—1181no—
1351#120—1181no—
1352#120—1181no—
1353#120—1181no—
1354#120—1181no—
1355#120—1181no—
1356#120—1181no—
1357#120—1181no—
1358#120—1181no—
1359#120—1181no—
1360C4×Q8C22×D5911yescharacteristic, complemented
1361C4×D4—21no—
1362C4×D4—591no—
1363C4×D4—591no—
1364C4×D4—591no—
1365C4×D4—591no—
1366C4×D4—591no—
1367C4×D4—591no—
1368C4×D4—591no—
1369C4×D4—591no—
1370C4×D4—591no—
1371C4×D4—591no—
1372C4×D4—591no—
1373C4×D4—591no—
1374C4×D4—591no—
1375C4×D4—1181no—
1376C4×D4—1181no—
1377C4×D4—1181no—
1378C4×D4—1181no—
1379C4×D4—1181no—
1380C4×D4—1181no—
1381C4×D4—1181no—
1382C4×D4—1181no—
1383C4×D4—1181no—
1384C4×D4—1181no—
1385C4×D4—1181no—
1386C4×D4C22×D5911yescharacteristic
1387C4×D4C22×D5911yescharacteristic
1388#117—591no—
1389#117—591no—
1390#117—1181no—
1391#117—1181no—
1392C2×C4⋊C4—591no—
1393C2×C4⋊C4—591no—
1394C2×C4⋊C4—591no—
1395C2×C4⋊C4—591no—
1396C2×C4⋊C4—1181no—
1397C2×C22⋊C4—21no—
1398C2×C22⋊C4—591no—
1399C2×C22⋊C4—591no—
1400C2×C22⋊C4—1181no—
1401C2×C22⋊C4—1181no—
1402C2×C22⋊C4—1181no—
1403C2×C22⋊C4—1181no—
1404C2×C22⋊C4—1181no—
1405C2×C22⋊C4—1181no—
1406C2×C22⋊C4—1181no—
1407C2×C22⋊C4—1181no—
1408C2×C22⋊C4—1181no—
1409C2×C22⋊C4—1181no—
1410C2×C22⋊C4—1181no—
1411C2×C22⋊C4—1181no—
1412C2×C22⋊C4—1181no—
1413C2×C22⋊C4—1181no—
1414C2×C22⋊C4—1181no—
1415C2×C22⋊C4—1181no—
1416C2×C42—591no—
1417#107—591no—
1418#107—591no—
1419#107—591no—
1420#107—591no—
1421#107—591no—
1422#107C22×D5911yescharacteristic, complemented
1423#106—591no—
1424#106—591no—
1425C4⋊C8—591no—
1426C4⋊C8—591no—
1427C4⋊C8—591no—
1428C4⋊C8C22×D5911yescharacteristic, complemented
1429#103—591no—
1430#103—591no—
1431#103—591no—
1432#103—591no—
1433#103—591no—
1434#103—591no—
1435#103—591no—
1436#103—591no—
1437#103C22×D5911yescharacteristic, complemented
1438#103C22×D5911yescharacteristic, complemented
1439#102—591no—
1440#102—591no—
1441#102—591no—
1442#102—591no—
1443#102—591no—
1444#102—591no—
1445#102—591no—
1446#102—591no—
1447#102—591no—
1448#102—591no—
1449#102—591no—
1450#102—591no—
1451#102—591no—
1452#102—591no—
1453#102—591no—
1454#102—591no—
1455#102—591no—
1456#102—591no—
1457#102C22×D5911yescharacteristic
1458#102C22×D5911yescharacteristic
1459#102C22×D5911yescharacteristic, complemented
1460#102C22×D5911yescharacteristic, complemented
1461C22⋊C8—591no—
1462C22⋊C8—591no—
1463C22⋊C8—591no—
1464C22⋊C8—591no—
1465C22⋊C8—591no—
1466C22⋊C8—591no—
1467C22⋊C8—591no—
1468C22⋊C8—591no—
1469C22⋊C8—591no—
1470C22⋊C8—591no—
1471C22⋊C8C22×D5911yescharacteristic
1472C22⋊C8C22×D5911yescharacteristic, complemented
1473#97—591no—
1474#97C22×D5911yescharacteristic, complemented
1475C4×C8—591no—
1476C4×C8—591no—
1477C24—21no—
1478C24—591no—
1479C24—591no—
1480C24—1181no—
1481C24—1181no—
1482C24—1181no—
1483C24—1181no—
1484C24—1181no—
1485C24—1181no—
1486C24—1181no—
1487C24—4722no—
1488C24—2364no—
1489C24—2364no—
1490#41—22no—
1491#41—41no—
1492#41—41no—
1493#41—41no—
1494#41—41no—
1495#41—41no—
1496#41—1182no—
1497#41—1182no—
1498#41—1182no—
1499#41—4722no—
1500#41—2361no—
1501#41—2364no—
1502#41—2361no—
1503#41—2361no—
1504#41—2364no—
1505C2×Q8—591no—
1506C2×Q8—1181no—
1507C2×Q8—1181no—
1508C2×Q8—2361no—
1509C2×Q8—2361no—
1510C2×Q8C23×D5911yescharacteristic
1511C2×Q8C23×D5911yescharacteristic
1512C2×D4—22no—
1513C2×D4—21no—
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—41no—
1523C2×D4—591no—
1524C2×D4—591no—
1525C2×D4—591no—
1526C2×D4—591no—
1527C2×D4—591no—
1528C2×D4—591no—
1529C2×D4—1182no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—1181no—
1536C2×D4—1181no—
1537C2×D4—1181no—
1538C2×D4—1181no—
1539C2×D4—1182no—
1540C2×D4—1182no—
1541C2×D4—1182no—
1542C2×D4—1182no—
1543C2×D4—1181no—
1544C2×D4—1181no—
1545C2×D4—1181no—
1546C2×D4—1181no—
1547C2×D4—1181no—
1548C2×D4—1181no—
1549C2×D4—1181no—
1550C2×D4—1181no—
1551C2×D4—1181no—
1552C2×D4—1181no—
1553C2×D4—1181no—
1554C2×D4—4722no—
1555C2×D4—4722no—
1556C2×D4—4722no—
1557C2×D4—2361no—
1558C2×D4—2361no—
1559C2×D4—2361no—
1560C2×D4—2361no—
1561C2×D4—2361no—
1562C2×D4—2361no—
1563C2×D4—2361no—
1564C2×D4—2361no—
1565C2×D4—2361no—
1566C2×D4—2362no—
1567C2×D4—2364no—
1568C2×D4—2364no—
1569C2×D4—2364no—
1570C2×D4—2364no—
1571C2×D4—2364no—
1572C2×D4D4×D5911yescharacteristic
1573C2×D4C23×D5911yescharacteristic
1574C2×D4C23×D5911yescharacteristic
1575C2×D4C23×D5911yescharacteristic
1576C2×D4C23×D5911yescharacteristic
1577C22×C4—21no—
1578C22×C4—21no—
1579C22×C4—21no—
1580C22×C4—21no—
1581C22×C4—591no—
1582C22×C4—591no—
1583C22×C4—591no—
1584C22×C4—591no—
1585C22×C4—591no—
1586C22×C4—591no—
1587C22×C4—591no—
1588C22×C4—591no—
1589C22×C4—591no—
1590C22×C4—591no—
1591C22×C4—591no—
1592C22×C4—1181no—
1593C22×C4—1181no—
1594C22×C4—1181no—
1595C22×C4—1181no—
1596C22×C4—1181no—
1597C22×C4—1181no—
1598C22×C4—1181no—
1599C22×C4—1181no—
1600C22×C4—1181no—
1601C22×C4—1181no—
1602C22×C4—1181no—
1603C22×C4—1181no—
1604C22×C4—1181no—
1605C22×C4—4722no—
1606C22×C4—2361no—
1607C22×C4—2361no—
1608C22×C4—2361no—
1609C22×C4—2361no—
1610C22×C4—2364no—
1611C22×C4C23×D5911yescharacteristic
1612C22×C4C23×D5911yescharacteristic
1613Q16—41no—
1614Q16—2361no—
1615SD16—22no—
1616SD16—41no—
1617SD16—41no—
1618SD16—41no—
1619SD16—1182no—
1620SD16—2361no—
1621SD16—2361no—
1622SD16—2361no—
1623SD16—2361no—
1624SD16—2361no—
1625D8—22no—
1626D8—22no—
1627D8—41no—
1628D8—41no—
1629D8—1182no—
1630D8—1182no—
1631D8—1182no—
1632D8—1182no—
1633D8—2361no—
1634D8—2361no—
1635D8—2361no—
1636D8—2361no—
1637M16—41no—
1638M16—2361no—
1639M16—2361no—
1640M16—2361no—
1641C2×C8—41no—
1642C2×C8—591no—
1643C2×C8—591no—
1644C2×C8—591no—
1645C2×C8—591no—
1646C2×C8—2361no—
1647C2×C8—2361no—
1648C2×C8—2361no—
1649C2×C8C23×D5911yescharacteristic
1650C2×C8C23×D5911yescharacteristic
1651C2×C8C23×D5911yescharacteristic
1652C2×C8C23×D5911yescharacteristic
1653C4⋊C4—21no—
1654C4⋊C4—21no—
1655C4⋊C4—591no—
1656C4⋊C4—591no—
1657C4⋊C4—591no—
1658C4⋊C4—591no—
1659C4⋊C4—591no—
1660C4⋊C4—591no—
1661C4⋊C4—591no—
1662C4⋊C4—1181no—
1663C4⋊C4—1181no—
1664C4⋊C4—1181no—
1665C4⋊C4—1181no—
1666C4⋊C4—1181no—
1667C4⋊C4—1181no—
1668C4⋊C4—1181no—
1669C4⋊C4—1181no—
1670C4⋊C4—1181no—
1671C4⋊C4—1181no—
1672C4⋊C4—1181no—
1673C4⋊C4—1181no—
1674C4⋊C4D4×D5911yescharacteristic
1675C4⋊C4C23×D5911yescharacteristic
1676C4⋊C4C23×D5911yescharacteristic
1677C22⋊C4—21no—
1678C22⋊C4—21no—
1679C22⋊C4—21no—
1680C22⋊C4—21no—
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—591no—
1685C22⋊C4—591no—
1686C22⋊C4—591no—
1687C22⋊C4—591no—
1688C22⋊C4—591no—
1689C22⋊C4—591no—
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⋊C4—1181no—
1703C22⋊C4—1181no—
1704C22⋊C4—1181no—
1705C22⋊C4—1181no—
1706C22⋊C4—1181no—
1707C22⋊C4—1181no—
1708C22⋊C4—1181no—
1709C22⋊C4—1181no—
1710C22⋊C4—1181no—
1711C22⋊C4—1181no—
1712C22⋊C4—1181no—
1713C22⋊C4—1181no—
1714C22⋊C4—1181no—
1715C22⋊C4—1181no—
1716C22⋊C4—1181no—
1717C22⋊C4—1181no—
1718C22⋊C4—1181no—
1719C22⋊C4—1181no—
1720C22⋊C4—1181no—
1721C22⋊C4—1181no—
1722C22⋊C4D4×D5911yescharacteristic
1723C22⋊C4D4×D5911yescharacteristic
1724C42—21no—
1725C42—591no—
1726C42—591no—
1727C42—591no—
1728C42—1181no—
1729C42—1181no—
1730C42C23×D5911yescharacteristic
1731C23—21no—
1732C23—21no—
1733C23—21no—
1734C23—21no—
1735C23—42no—
1736C23—42no—
1737C23—81no—
1738C23—591no—
1739C23—591no—
1740C23—591no—
1741C23—1182no—
1742C23—1182no—
1743C23—1182no—
1744C23—1184no—
1745C23—1181no—
1746C23—1181no—
1747C23—1181no—
1748C23—4721no—
1749C23—4721no—
1750C23—4721no—
1751C23—4721no—
1752C23—4721no—
1753C23—4721no—
1754C23—4721no—
1755C23—47216no—
1756C23—2361no—
1757C23—2361no—
1758C23—2361no—
1759C23—2362no—
1760C23—2362no—
1761C23—2362no—
1762C23—2362no—
1763C23—2362no—
1764C23—2362no—
1765C23—2362no—
1766C23—2362no—
1767C23—2362no—
1768C23—2362no—
1769C23—2362no—
1770C23—2362no—
1771C23—2362no—
1772C23C2×D4×D5911yescharacteristic
1773C23C2×D4×D5911yescharacteristic
1774Q8—21no—
1775Q8—21no—
1776Q8—21no—
1777Q8—21no—
1778Q8—1181no—
1779Q8—1181no—
1780Q8—4721no—
1781Q8—2362no—
1782D4—21no—
1783D4—21no—
1784D4—21no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—41no—
1790D4—42no—
1791D4—42no—
1792D4—42no—
1793D4—81no—
1794D4—81no—
1795D4—81no—
1796D4—81no—
1797D4—81no—
1798D4—81no—
1799D4—592no—
1800D4—1182no—
1801D4—1182no—
1802D4—1184no—
1803D4—1181no—
1804D4—1181no—
1805D4—1181no—
1806D4—1181no—
1807D4—1181no—
1808D4—4721no—
1809D4—4721no—
1810D4—4721no—
1811D4—4721no—
1812D4—4721no—
1813D4—4721no—
1814D4—4721no—
1815D4—2362no—
1816D4—2362no—
1817D4—2362no—
1818D4—2361no—
1819D4—2362no—
1820D4—2362no—
1821D4—2362no—
1822D4—2362no—
1823D4—2362no—
1824D4—2362no—
1825D4—2362no—
1826D4—2362no—
1827D4—2362no—
1828D4#1427377212yes—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—42no—
1838C2×C4—81no—
1839C2×C4—81no—
1840C2×C4—81no—
1841C2×C4—591no—
1842C2×C4—591no—
1843C2×C4—591no—
1844C2×C4—591no—
1845C2×C4—591no—
1846C2×C4—1182no—
1847C2×C4—1181no—
1848C2×C4—1181no—
1849C2×C4—1181no—
1850C2×C4—1181no—
1851C2×C4—1181no—
1852C2×C4—1181no—
1853C2×C4—1181no—
1854C2×C4—1181no—
1855C2×C4—1181no—
1856C2×C4—1181no—
1857C2×C4—1181no—
1858C2×C4—4721no—
1859C2×C4—4721no—
1860C2×C4—4721no—
1861C2×C4—4721no—
1862C2×C4—4721no—
1863C2×C4—4721no—
1864C2×C4—4721no—
1865C2×C4—2361no—
1866C2×C4—2361no—
1867C2×C4—2361no—
1868C2×C4—2361no—
1869C2×C4—2361no—
1870C2×C4—2362no—
1871C2×C4—2362no—
1872C2×C4—2362no—
1873C2×C4—2362no—
1874C2×C4—2362no—
1875C2×C4—2361no—
1876C2×C4—2361no—
1877C2×C4—2362no—
1878C2×C4C2×D4×D5911yescharacteristic
1879C2×C4C2×D4×D5911yescharacteristic
1880C2×C4C2×D4×D5911yescharacteristic
1881C2×C4C2×D4×D5911yescharacteristic
1882C2×C4C24×D5911yescharacteristic
1883C8—21no—
1884C8—21no—
1885C8—21no—
1886C8—21no—
1887C8—1181no—
1888C8—1181no—
1889C8—1181no—
1890C8—1181no—
1891C22—21no—
1892C22—21no—
1893C22—22no—
1894C22—21no—
1895C22—21no—
1896C22—21no—
1897C22—21no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—41no—
1908C22—41no—
1909C22—84no—
1910C22—592no—
1911C22—592no—
1912C22—1181no—
1913C22—1181no—
1914C22—1181no—
1915C22—1181no—
1916C22—1181no—
1917C22—1182no—
1918C22—1181no—
1919C22—1181no—
1920C22—9442no—
1921C22—9442no—
1922C22—4724no—
1923C22—4722no—
1924C22—4724no—
1925C22—4724no—
1926C22—4724no—
1927C22—2364no—
1928C22—2368no—
1929C22—2361no—
1930C22—2361no—
1931C22—2361no—
1932C22—2361no—
1933C22—2361no—
1934C22—2361no—
1935C22—2361no—
1936C22—2361no—
1937C22C22×D4×D5911yescharacteristic
1938C4—21no—
1939C4—21no—
1940C4—21no—
1941C4—21no—
1942C4—41no—
1943C4—41no—
1944C4—41no—
1945C4—41no—
1946C4—1181no—
1947C4—1181no—
1948C4—1181no—
1949C4—1181no—
1950C4—1181no—
1951C4—2361no—
1952C4—2361no—
1953C4—2361no—
1954C4—2361no—
1955C4—2361no—
1956C4H(5,𝔽2)×D5911yescharacteristic
1957C4C2×#1427377211yescharacteristic
1958C2—41no—
1959C2—41no—
1960C2—42no—
1961C2—81no—
1962C2—81no—
1963C2—81no—
1964C2—1182no—
1965C2—1182no—
1966C2—4721no—
1967C2—4721no—
1968C2—2361no—
1969C2—2362no—
1970C2#2143772411yescharacteristic
1971C2#575×D5911yescharacteristic
1972C2#576×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3268C2
socleC22×C59C23×D4
hypercenter#3268D59
hypocenterC59#61592
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3268

Complements

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

NH ≅ G/Ntype
1. #21438127C2semidirect
2. #546×D59C2semidirect
3. #21436303C2semidirect
4. #21436301C2semidirect
5. #21436254C2semidirect
6. #21436252C2semidirect
7. #21436184C2semidirect
8. #21436182C2semidirect
9. #21435941C2semidirect
10. #21435939C2semidirect
11. #21435779C2semidirect
12. #21435775C2semidirect
13. #21435701C2semidirect
14. #21435700C2semidirect
15. #21435637C2semidirect
16. #21435575C2semidirect
17. #21435571C2semidirect
18. #21435078C2semidirect
19. #21435065C2semidirect
20. #21434908C2semidirect
21. #21434897C2semidirect
22. #21434875C2semidirect
23. #21434843C2semidirect
24. #21434238C2semidirect
25. #21434095C2semidirect
26. #21433345C2semidirect
27. #21433321C2semidirect
28. #21433310C2semidirect
29. #447×D59C2semidirect
30. #21433126C2semidirect
31. C59×#3268C2semidirect
32. C2×#41×D59C22semidirect
33. C22×D4×D59C22semidirect
34. C2×#14273754C22semidirect
35. C2×#14273752C22semidirect
36. C2×#14273751C22semidirect
37. C2×#14273747C22semidirect
38. C2×D8×D59C22semidirect
39. C2×D8×D59C22semidirect
40. #16838117C22semidirect
41. #16838112C22semidirect
43. #16838099C22semidirect
44. #16838099C22semidirect
45. #16838049C22semidirect
46. #16838048C22semidirect
48. #16838046C22semidirect
51. #16838043C22semidirect
56. #16838040C22semidirect
57. #16838040C22semidirect
58. #16838040C22semidirect
61. #16838037C22semidirect
65. #16837950C22semidirect
66. #16837939C22semidirect
67. #124×D59C22semidirect
69. #16837909C22semidirect
71. C22⋊Q8×D59C22semidirect
74. #121×D59C22semidirect
75. #121×D59C22semidirect
79. C4×D4×D59C22semidirect
81. #16837789C22semidirect
82. #16837787C22semidirect
83. #16837783C22semidirect
84. #16837762C22semidirect
85. #16837761C22semidirect
86. #16837758C22semidirect
87. #16837755C22semidirect
88. #16837744C22semidirect
89. #16837740C22semidirect
90. #16837739C22semidirect
91. #16837736C22semidirect
92. #16837731C22semidirect
93. #16837727C22semidirect
94. #16837723C22semidirect
95. #16837717C22semidirect
96. #16837717C22semidirect
97. #16837714C22semidirect
98. #16837714C22semidirect
99. #16837714C22semidirect
100. #16837705C22semidirect
101. #16837704C22semidirect
102. #16837683C22semidirect
103. #16837682C22semidirect
104. #16837654C22semidirect
105. #16837652C22semidirect
106. #16837651C22semidirect
107. #16837650C22semidirect
108. #16837648C22semidirect
109. #16837646C22semidirect
110. #16837645C22semidirect
111. #16837642C22semidirect
112. #16837640C22semidirect
113. #16837638C22semidirect
114. #16837636C22semidirect
115. #16837636C22semidirect
116. #16837630C22semidirect
117. #16837628C22semidirect
118. #16837624C22semidirect
119. #16837620C22semidirect
120. #16837619C22semidirect
121. #16837619C22semidirect
122. #16837619C22semidirect
123. #16837618C22semidirect
124. #16837615C22semidirect
125. #16837615C22semidirect
126. #16837614C22semidirect
127. #16837594C22semidirect
128. #16837564C22semidirect
129. #16837563C22semidirect
130. #16837561C22semidirect
131. #16837556C22semidirect
132. #16837554C22semidirect
133. #16837551C22semidirect
134. #16837551C22semidirect
135. #16837551C22semidirect
136. #16837551C22semidirect
137. #16837551C22semidirect
138. #16837549C22semidirect
139. #16837547C22semidirect
140. #16837547C22semidirect
141. #16837546C22semidirect
142. #16837545C22semidirect
143. #16837544C22semidirect
144. #16837542C22semidirect
145. #16837539C22semidirect
146. #16837539C22semidirect
147. #16837538C22semidirect
150. #16837537C22semidirect
151. #16837536C22semidirect
152. #16837535C22semidirect
153. #16837534C22semidirect
154. #16837534C22semidirect
155. #16837534C22semidirect
156. #16837534C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. #16837515C22semidirect
161. #16837512C22semidirect
162. #16837500C22semidirect
163. D8×Dic59C22semidirect
164. D8×Dic59C22semidirect
165. #16837482C22semidirect
166. #16837482C22semidirect
167. #16837478C22semidirect
168. #16837477C22semidirect
169. #16837475C22semidirect
170. #16837474C22semidirect
171. #16837472C22semidirect
172. C8×C22⋊D59C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
174. #16837457C22semidirect
175. #16837454C22semidirect
176. #16837408C22semidirect
177. #16837407C22semidirect
178. #16837402C22semidirect
179. #16837400C22semidirect
180. #16837399C22semidirect
181. #16837398C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #16837365C22semidirect
185. #16837364C22semidirect
186. C2×(C2×D59)⋊C8C22semidirect
187. C22⋊C8×D59C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C2×#135×C59C22semidirect
190. C59×#550C22semidirect
191. C59×#546C22semidirect
192. C59×#496C22semidirect
193. C59×#468C22semidirect
194. C59×#466C22semidirect
195. C59×#464C22semidirect
196. C59×#459C22semidirect
197. C59×#452C22semidirect
198. C59×#449C22semidirect
199. C59×#449C22semidirect
200. C59×#447C22semidirect
201. C59×#440C22semidirect
202. C59×#435C22semidirect
230. C2×D4×D59C23semidirect
239. C2×#11745672C23semidirect
240. C2×#11745660C23semidirect
241. C2×#11745670C23semidirect
242. C2×#11745670C23semidirect
245. C2×#11745671C23semidirect
257. C2×#11745659C23semidirect
258. C2×#11745659C23semidirect
259. C22×C59⋊C8C23semidirect
262. #14273727C23semidirect
267. #14273718C23semidirect
269. #14273716C23semidirect
300. #14273703C23semidirect
307. #14273701C23semidirect
330. #14273698C23semidirect
348. C4×D236C23semidirect
352. D4×Dic59C23semidirect
353. D4×Dic59C23semidirect
369. #14273686C23semidirect
376. C4⋊C4×D59C23semidirect
396. #14273661C23semidirect
397. #14273661C23semidirect
398. #14273660C23semidirect
399. #14273660C23semidirect
400. #14273660C23semidirect
401. #14273659C23semidirect
402. #14273658C23semidirect
403. C4⋊(C59⋊C8)C23semidirect
404. Dic59⋊C8C23semidirect
405. Dic59⋊C8C23semidirect
406. #14273652C23semidirect
407. #14273652C23semidirect
408. #14273652C23semidirect
409. #14273651C23semidirect
410. #14273651C23semidirect
411. #14273651C23semidirect
412. #14273651C23semidirect
413. #14273650C23semidirect
420. #14273649C23semidirect
427. #14273648C23semidirect
428. #14273648C23semidirect
431. #14273647C23semidirect
433. C22⋊(C59⋊C8)C23semidirect
440. (C2×D59)⋊C8C23semidirect
441. (C2×D59)⋊C8C23semidirect
442. #14273638C23semidirect
443. C8×Dic59C23semidirect
444. C8×Dic59C23semidirect
447. C2×#41×C59C23semidirect
451. C2×Q16×C59C23semidirect
454. C2×SD16×C59C23semidirect
455. C2×SD16×C59C23semidirect
461. C22×C8×C59C23semidirect
463. #127×C59C23semidirect
472. #121×C59C23semidirect
474. C4×Q8×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. #97×C59C23semidirect
987. #3268D59semidirect
1023. C2×AGL(1,ℤ/8)C2×D59semidirect
1025. C2×#135C2×D59semidirect
1033. #550C2×D59semidirect
1049. #546C2×D59semidirect
1072. #496C2×D59semidirect
1102. #468C2×D59semidirect
1108. #466C2×D59semidirect
1112. #464C2×D59semidirect
1122. #459C2×D59semidirect
1126. #452C2×D59semidirect
1140. #449C2×D59semidirect
1141. #449C2×D59semidirect
1158. #447C2×D59semidirect
1162. #440C2×D59semidirect
1172. #435C2×D59semidirect
1189. C59#61592semidirect
1201. C2×#41C22×D59semidirect
1233. C2×Q16C22×D59semidirect
1242. C2×SD16C22×D59semidirect
1243. C2×SD16C22×D59semidirect
1265. C22×C8C22×D59semidirect
1268. #127C22×D59semidirect
1345. #121C22×D59semidirect
1360. C4×Q8C22×D59semidirect
1422. #107C22×D59semidirect
1428. C4⋊C8C22×D59semidirect
1437. #103C22×D59semidirect
1438. #103C22×D59semidirect
1459. #102C22×D59semidirect
1460. #102C22×D59semidirect
1472. C22⋊C8C22×D59semidirect
1474. #97C22×D59semidirect

Maximal subgroups

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

subgroupindex
#214381272
#546×D592
#214363032
#214363012
#214362542
#214362522
#214361842
#214361822
#214359412
#214359392
#214357792
#214357752
#214357012
#214357002
#214356372
#214355752
#214355712
#214350782
#214350652
#214349082
#214348972
#214348752
#214348432
#214342382
#214340952
#214333452
#214333212
#214333102
#447×D592
#214331262
C59×#32682
#6159259