Finite Group Databasebeta

← #29473872

Subgroups — #29473872

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#21438125C211yesmaximal, characteristic, complemented
2#546×D59C211yesmaximal, characteristic, complemented
3#21436299C211yesmaximal, characteristic, complemented
4#21436297C211yesmaximal, characteristic, complemented
5#21436247C211yesmaximal, characteristic, complemented
6#21436245C211yesmaximal, characteristic, complemented
7#21436172C211yesmaximal, characteristic, complemented
8#21436170C211yesmaximal, characteristic, complemented
9#21435953C211yesmaximal, characteristic, complemented
10#21435951C211yesmaximal, characteristic, complemented
11#21435780C211yesmaximal, characteristic, complemented
12#21435776C211yesmaximal, characteristic, complemented
13#21435703C211yesmaximal, characteristic, complemented
14#21435639C211yesmaximal, characteristic, complemented
15#21435630C211yesmaximal, characteristic, complemented
16#21435574C211yesmaximal, characteristic, complemented
17#21435570C211yesmaximal, characteristic, complemented
18#21435081C211yesmaximal, characteristic, complemented
19#21435056C211yesmaximal, characteristic, complemented
20#21434911C211yesmaximal, characteristic, complemented
21#21434897C211yesmaximal, characteristic, complemented
22#21434875C211yesmaximal, characteristic, complemented
23#21434845C211yesmaximal, characteristic, complemented
24#21434233C211yesmaximal, characteristic, complemented
25#21434094C211yesmaximal, characteristic, complemented
26#21433344C211yesmaximal, characteristic, complemented
27#21433321C211yesmaximal, characteristic, complemented
28#21433317C211yesmaximal, characteristic, complemented
29#447×D59C211yesmaximal, characteristic, complemented
30#21433128C211yesmaximal, characteristic, complemented
31C59×#3273C211yesmaximal, characteristic, complemented
32C2×#41×D59C2211yescharacteristic, complemented
33C22×D4×D59C2211yescharacteristic, complemented
34C2×#14273753C2211yescharacteristic, complemented
35C2×#14273752C2211yescharacteristic, complemented
36C2×#14273750C2211yescharacteristic, complemented
37C2×#14273748C2211yescharacteristic, complemented
38C2×D8×D59C2211yescharacteristic, complemented
39C2×D8×D59C2211yescharacteristic, complemented
40#16838116C2211yescharacteristic, complemented
41#16838110C2211yescharacteristic, complemented
42#16838102C2211yescharacteristic, complemented
43#16838098C2211yescharacteristic, complemented
44#16838097—21no—
45#16838071C2211yescharacteristic, complemented
46#16838049—21no—
47#16838049C2211yescharacteristic
48#16838048C2211yescharacteristic, complemented
49#16838047C2211yescharacteristic, complemented
50#16838046C2211yescharacteristic, complemented
51#16838045C2211yescharacteristic, complemented
52#16838045C2211yescharacteristic, complemented
53#16838044—21no—
54#16838043C2211yescharacteristic, complemented
55#16838042—21no—
56#16838042—21no—
57#16838041—21no—
58#16838040C2211yescharacteristic
59#16838039—21no—
60D4×C22⋊D59C2211yescharacteristic, complemented
61#16838034—21no—
62#16838002—21no—
63#16837988—21no—
64#16837987—21no—
65#16837949C2211yescharacteristic, complemented
66#16837931C2211yescharacteristic, complemented
67#124×D59C2211yescharacteristic, complemented
68#16837915C2211yescharacteristic, complemented
69#16837909C2211yescharacteristic
70#123×D59—21no—
71C22⋊Q8×D59C2211yescharacteristic, complemented
72C2×#14273698C2211yescharacteristic, complemented
73#121×D59—21no—
74#121×D59C2211yescharacteristic
75#121×D59C2211yescharacteristic, complemented
76#120×D59—21no—
77#16837875—21no—
78C4×D4×D59C2211yescharacteristic
79C4×D4×D59C2211yescharacteristic, complemented
80C2×C22⋊C4×D59—21no—
81#16837790C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837784C2211yescharacteristic, complemented
84#16837763C2211yescharacteristic, complemented
85#16837760C2211yescharacteristic, complemented
86#16837757C2211yescharacteristic, complemented
87#16837756C2211yescharacteristic, complemented
88#16837744C2211yescharacteristic, complemented
89#16837740C2211yescharacteristic, complemented
90#16837739C2211yescharacteristic, complemented
91#16837736C2211yescharacteristic, complemented
92#16837731C2211yescharacteristic, complemented
93#16837729C2211yescharacteristic, complemented
94#16837725C2211yescharacteristic, complemented
95#16837717C2211yescharacteristic, complemented
96#16837716C2211yescharacteristic, complemented
97#16837714C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837713C2211yescharacteristic, complemented
100#16837703C2211yescharacteristic, complemented
101#16837702C2211yescharacteristic, complemented
102#16837681C2211yescharacteristic, complemented
103#16837680C2211yescharacteristic, complemented
104#16837655C2211yescharacteristic, complemented
105#16837653C2211yescharacteristic, complemented
106#16837650C2211yescharacteristic, complemented
107#16837650C2211yescharacteristic, complemented
108#16837648C2211yescharacteristic, complemented
109#16837646C2211yescharacteristic, complemented
110#16837642C2211yescharacteristic, complemented
111#16837640C2211yescharacteristic, complemented
112#16837637C2211yescharacteristic, complemented
113#16837637C2211yescharacteristic, complemented
114#16837635C2211yescharacteristic, complemented
115#16837635C2211yescharacteristic, complemented
116#16837630C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837626C2211yescharacteristic, complemented
119#16837622C2211yescharacteristic, complemented
120#16837619C2211yescharacteristic, complemented
121#16837618C2211yescharacteristic, complemented
122#16837617C2211yescharacteristic, complemented
123#16837615C2211yescharacteristic, complemented
124#16837614C2211yescharacteristic, complemented
125#16837614C2211yescharacteristic, complemented
126#16837596C2211yescharacteristic, complemented
127#16837595C2211yescharacteristic, complemented
128#16837564C2211yescharacteristic, complemented
129#16837562C2211yescharacteristic, complemented
130#16837556C2211yescharacteristic, complemented
131#16837554C2211yescharacteristic, complemented
132#16837551C2211yescharacteristic, complemented
133#16837551C2211yescharacteristic, complemented
134#16837551C2211yescharacteristic, complemented
135#16837551C2211yescharacteristic, complemented
136#16837551C2211yescharacteristic, complemented
137#16837550C2211yescharacteristic, complemented
138#16837549C2211yescharacteristic, complemented
139#16837547C2211yescharacteristic, complemented
140#16837546C2211yescharacteristic, complemented
141#16837546C2211yescharacteristic, complemented
142#16837546C2211yescharacteristic, complemented
143#16837544C2211yescharacteristic, complemented
144#16837544C2211yescharacteristic, complemented
145#16837542C2211yescharacteristic, complemented
146#16837539C2211yescharacteristic, complemented
147#16837539C2211yescharacteristic, complemented
148#16837538C2211yescharacteristic, complemented
149#16837537C2211yescharacteristic, complemented
150#16837537C2211yescharacteristic, complemented
151#16837536C2211yescharacteristic, complemented
152#16837536C2211yescharacteristic, complemented
153#16837535C2211yescharacteristic, complemented
154#16837534C2211yescharacteristic
155#16837534C2211yescharacteristic
156#16837534C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837514C2211yescharacteristic, complemented
161#16837511C2211yescharacteristic, complemented
162#16837505C2211yescharacteristic, complemented
163#16837503C2211yescharacteristic, complemented
164C4×D472C2211yescharacteristic, complemented
165C4×#11745669C2211yescharacteristic, complemented
166C4×#11745669C2211yescharacteristic, complemented
167#16837480C2211yescharacteristic, complemented
168#16837476C2211yescharacteristic, complemented
169#16837476C2211yescharacteristic, complemented
170#16837471C2211yescharacteristic, complemented
171#16837471C2211yescharacteristic, complemented
172C8×D236C2211yescharacteristic, complemented
173#16837467C2211yescharacteristic, complemented
174#16837458C2211yescharacteristic, complemented
175#16837453C2211yescharacteristic, complemented
176#16837408C2211yescharacteristic, complemented
177#16837407C2211yescharacteristic, complemented
178#16837404C2211yescharacteristic, complemented
179#16837403C2211yescharacteristic, complemented
180#16837397C2211yescharacteristic, complemented
181#16837395C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837365C2211yescharacteristic, complemented
185#16837365C2211yescharacteristic, complemented
186C22⋊C8×D59C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
190C59×#546C2211yescharacteristic, complemented
191C59×#546C2211yescharacteristic, complemented
192C59×#495C2211yescharacteristic, complemented
193C59×#468C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#447C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C4×D8×C59C2211yescharacteristic, complemented
202C59×#436C2211yescharacteristic, complemented
203C24×D59—21no—
204C2×#11745689C2311yescharacteristic
205C2×#11745689C2311yescharacteristic, complemented
206C2×#11745685—21no—
207C2×#11745685—21no—
208C2×#11745685C2311yescharacteristic
209C2×#11745687—21no—
210C2×#11745687C2311yescharacteristic
211#41×D59—42no—
212#41×D59—42no—
213C2×Q8×D59C2311yescharacteristic
214C22×D236C2311yescharacteristic
215C22×C22⋊D59—21no—
216C22×C22⋊D59—21no—
217C22×C22⋊D59—21no—
218C2×D4×D59—21no—
219C2×D4×D59—21no—
220C2×D4×D59—21no—
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—42no—
224C2×D4×D59—42no—
225C2×D4×D59D411yescharacteristic
226C2×D4×D59C2311yescharacteristic
227C2×D4×D59C2311yescharacteristic
228C2×D4×D59C2311yescharacteristic
229C2×D4×D59C2311yescharacteristic
230C2×D4×D59C2311yescharacteristic
231C22×C4×D59—21no—
232C22×C4×D59—21no—
233C22×C4×D59C2311yescharacteristic
234C22×C4×D59C2311yescharacteristic
235#14273753—42no—
236#14273752—42no—
237#14273750—42no—
238#14273748—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×#11745664C2311yescharacteristic, complemented
258C2×C8×D59C2311yescharacteristic
259C2×C8×D59C2311yescharacteristic
260C2×C8×D59C2311yescharacteristic, complemented
261C2×C8×D59C2311yescharacteristic, complemented
262#14273726C2311yescharacteristic, complemented
263#14273723—21no—
264#14273723C2311yescharacteristic, complemented
265#14273722—21no—
266#14273720—21no—
267#14273720—21no—
268#14273719C2311yescharacteristic, complemented
269#14273717—21no—
270#14273716C2311yescharacteristic
271#14273715C2311yescharacteristic
272#14273714—21no—
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#14273707—21no—
292#14273707C2311yescharacteristic
293#14273706C2311yescharacteristic
294#14273705—21no—
295#14273704—21no—
296#14273704—21no—
297#14273703C2311yescharacteristic
298#14273703C2311yescharacteristic
299#14273703C2311yescharacteristic
300#14273702—21no—
301#14273702C2311yescharacteristic
302#14273702C2311yescharacteristic
303#14273701—21no—
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#14273700—21no—
314#14273700—21no—
315#14273699—21no—
316#14273699—21no—
317#14273699—21no—
318#14273699—21no—
319#14273699—21no—
320#14273699—21no—
321#14273699—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#14273698C2311yescharacteristic, complemented
332#14273697—21no—
333#14273697—21no—
334#14273697—21no—
335#14273697—21no—
336#14273697—21no—
337#14273696—21no—
338#14273696—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695—21no—
342#14273695—21no—
343#14273695—21no—
344Q8×Dic59C2311yescharacteristic, complemented
345C4×D236C2311yescharacteristic
346C4×D236C2311yescharacteristic
347C4×D236C2311yescharacteristic, complemented
348D4×Dic59D411yescharacteristic
349D4×Dic59C2311yescharacteristic
350D4×Dic59C2311yescharacteristic, complemented
351#14273689—21no—
352#14273689D411yescharacteristic
353#14273689C2311yescharacteristic
354C4×C22⋊D59—21no—
355C4×C22⋊D59—21no—
356C4×C22⋊D59—21no—
357C4×C22⋊D59—21no—
358C4×C22⋊D59—21no—
359C4×C22⋊D59—21no—
360C4×C22⋊D59C2311yescharacteristic
361C4×C22⋊D59C2311yescharacteristic
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4—21no—
365(C22⋊D59)⋊C4—21no—
366(C22⋊D59)⋊C4—21no—
367(C22⋊D59)⋊C4D411yescharacteristic
368(C22⋊D59)⋊C4D411yescharacteristic
369#14273686C2311yescharacteristic
370#14273685C2311yescharacteristic, complemented
371#14273683—21no—
372#14273683—21no—
373C2×C4⋊Dic59C2311yescharacteristic, complemented
374C4⋊C4×D59—21no—
375C4⋊C4×D59D411yescharacteristic
376C4⋊C4×D59C2311yescharacteristic
377C4⋊C4×D59C2311yescharacteristic
378C2×C22⋊Dic59—21no—
379C2×C22⋊Dic59—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#14273637C2311yescharacteristic, complemented
443#14273637C2311yescharacteristic, complemented
444C4×C59⋊C8C2311yescharacteristic, complemented
445C2×#41×C59C2311yescharacteristic
446C2×#41×C59C2311yescharacteristic
447C22×D4×C59C2311yescharacteristic
448C22×D4×C59C2311yescharacteristic, complemented
449AGL(1,ℤ/8)×C59—42no—
450AGL(1,ℤ/8)×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
461C2×M16×C59C2311yescharacteristic, complemented
462#124×C59C2311yescharacteristic
463#124×C59C2311yescharacteristic, complemented
464#123×C59—21no—
465#123×C59—21no—
466C22⋊Q8×C59C2311yescharacteristic
467C22⋊Q8×C59C2311yescharacteristic, complemented
468#121×C59—21no—
469#121×C59—21no—
470#121×C59C2311yescharacteristic
471#121×C59C2311yescharacteristic
472#120×C59—21no—
473#120×C59—21no—
474C4×D4×C59C2311yescharacteristic
475C4×D4×C59C2311yescharacteristic
476C4×D4×C59C2311yescharacteristic, complemented
477C2×C22⋊C4×C59—21no—
478C2×C22⋊C4×C59—21no—
479#107×C59C2311yescharacteristic, complemented
480C4⋊C8×C59C2311yescharacteristic, complemented
481#103×C59C2311yescharacteristic, complemented
482#103×C59C2311yescharacteristic, complemented
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic, complemented
486#102×C59C2311yescharacteristic, complemented
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic, complemented
489C4×C8×C59C2311yescharacteristic, complemented
490C24×C59—21no—
491C24×C59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496C23×D59—21no—
497C23×D59—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—
507C2×Q8×C59C2411yescharacteristic
508C2×Q8×C59C2411yescharacteristic
509C2×D4×C59—22no—
510C2×D4×C59—21no—
511C2×D4×C59—21no—
512C2×D4×C59—21no—
513C2×D4×C59—21no—
514C2×D4×C59—21no—
515C2×D4×C59—21no—
516C2×D4×C59—41no—
517C2×D4×C59—41no—
518C2×D4×C59—41no—
519C2×D4×C59C2×D411yescharacteristic
520C2×D4×C59C2411yescharacteristic
521C2×D4×C59C2411yescharacteristic
522C2×D4×C59C2411yescharacteristic
523C2×D4×C59C2411yescharacteristic
524C22×C4×C59—21no—
525C22×C4×C59—21no—
526C22×C4×C59—21no—
527C22×C4×C59—21no—
528C22×C4×C59C2411yescharacteristic
529C22×C4×C59C2411yescharacteristic
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—21no—
537C2×C22⋊D59—21no—
538C2×C22⋊D59—21no—
539C2×C22⋊D59—21no—
540C2×C22⋊D59—21no—
541C2×C22⋊D59—21no—
542C2×C22⋊D59—21no—
543C2×C22⋊D59—21no—
544C2×C22⋊D59—21no—
545C2×C22⋊D59—21no—
546C2×C22⋊D59—21no—
547C2×C22⋊D59—21no—
548C2×C22⋊D59—44no—
549C2×C22⋊D59—44no—
550C2×C22⋊D59—82no—
551C2×C22⋊D59C2×D411yescharacteristic
552C2×C22⋊D59C2×D411yescharacteristic
553C22×Dic59—21no—
554C22×Dic59—21no—
555C22×Dic59—21no—
556C22×Dic59—21no—
557C22×Dic59C2×D411yescharacteristic
558C22×Dic59C2×D411yescharacteristic
559#11745689—22no—
560#11745689—41no—
561#11745689—41no—
562#11745689—41no—
563Q8×D59—41no—
564Q8×D59—41no—
565#11745687—22no—
566#11745687—41no—
567#11745687—44no—
568D4×D59—22no—
569D4×D59—22no—
570D4×D59—22no—
571D4×D59—22no—
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—82no—
583D4×D59—82no—
584#11745685—22no—
585#11745685—41no—
586#11745685—44no—
587#11745685—82no—
588C2×D236—22no—
589C2×D236—21no—
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—
636M16×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×C59—21no—
654C22⋊C4×C59—21no—
655C22⋊C4×C59—21no—
656C22⋊C4×C59C2×D411yescharacteristic
657C22⋊C4×C59C2×D411yescharacteristic
658C42×C59C2411yescharacteristic
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⋊Dic59—21no—
671C22⋊Dic59C2×D411yescharacteristic
672C22⋊Dic59C2×D411yescharacteristic
673#11745672—41no—
674#11745671—22no—
675#11745671—41no—
676#11745671—41no—
677#11745670—41no—
678#11745670—41no—
679#11745669—22no—
680#11745669—22no—
681#11745669—22no—
682#11745669—41no—
683#11745669—41no—
684#11745669—41no—
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)⋊C4C2×D411yescharacteristic
703(C2×D59)⋊C4C2×D411yescharacteristic
704(C2×D59)⋊C4C2×D411yescharacteristic
705(C2×D59)⋊C4C2×D411yescharacteristic
706C4⋊Dic59—21no—
707C4⋊Dic59—21no—
708C4⋊Dic59—21no—
709C4⋊Dic59C2×D411yescharacteristic
710C4⋊Dic59C2411yescharacteristic
711C4⋊Dic59C2411yescharacteristic
712C4⋊Dic59C2411yescharacteristic
713C4⋊Dic59C2411yescharacteristic
714Dic59⋊C4—21no—
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⋊C4C2×D411yescharacteristic
724Dic59⋊C4C2×D411yescharacteristic
725C4×Dic59—21no—
726C4×Dic59—21no—
727C4×Dic59—21no—
728C4×Dic59C2×D411yescharacteristic
729C4×Dic59C2×D411yescharacteristic
730C4×Dic59C2411yescharacteristic
731#11745664—41no—
732#11745664—41no—
733C2×C59⋊C8C2411yescharacteristic
734C2×C59⋊C8C2411yescharacteristic
735C2×C59⋊C8C2411yescharacteristic
736C2×C59⋊C8C2411yescharacteristic
737D472—22no—
738D472—41no—
739#11745660—41no—
740C8×D59—41no—
741C8×D59—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—42no—
751C23×C59—81no—
752C23×C59—81no—
753C23×C59—81no—
754C23×C59C22×D411yescharacteristic
755C23×C59C22×D411yescharacteristic
756C22×D59—24no—
757C22×D59—21no—
758C22×D59—22no—
759C22×D59—22no—
760C22×D59—22no—
761C22×D59—21no—
762C22×D59—21no—
763C22×D59—41no—
764C22×D59—41no—
765C22×D59—41no—
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—42no—
777C22×D59—42no—
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—81no—
802D4×C59—81no—
803D4×C59—81no—
804D4×C59—81no—
805D4×C59H(5,𝔽2)12yes—
806C2×C4×C59—21no—
807C2×C4×C59—21no—
808C2×C4×C59—21no—
809C2×C4×C59—21no—
810C2×C4×C59—21no—
811C2×C4×C59—21no—
812C2×C4×C59—21no—
813C2×C4×C59—21no—
814C2×C4×C59—42no—
815C2×C4×C59—81no—
816C2×C4×C59—81no—
817C2×C4×C59—81no—
818C2×C4×C59C22×D411yescharacteristic
819C2×C4×C59C22×D411yescharacteristic
820C2×C4×C59C22×D411yescharacteristic
821C2×C4×C59C22×D411yescharacteristic
822C2×C4×C59C2511yescharacteristic
823C22⋊D59—24no—
824C22⋊D59—22no—
825C22⋊D59—41no—
826C22⋊D59—42no—
827C22⋊D59—42no—
828C22⋊D59—42no—
829C22⋊D59—42no—
830C22⋊D59—42no—
831C22⋊D59—42no—
832C22⋊D59—42no—
833C22⋊D59—42no—
834C22⋊D59—42no—
835C22⋊D59—42no—
836C22⋊D59—81no—
837C22⋊D59—81no—
838C22⋊D59—81no—
839C22⋊D59—81no—
840C22⋊D59—81no—
841C22⋊D59—81no—
842C22⋊D59—81no—
843C2×Dic59—21no—
844C2×Dic59—21no—
845C2×Dic59—21no—
846C2×Dic59—21no—
847C2×Dic59—21no—
848C2×Dic59—41no—
849C2×Dic59—41no—
850C2×Dic59—42no—
851C2×Dic59—42no—
852C2×Dic59—81no—
853C2×Dic59—81no—
854C2×Dic59C22×D411yescharacteristic
855C2×Dic59C22×D411yescharacteristic
856C2×Dic59C22×D411yescharacteristic
857C2×Dic59C22×D411yescharacteristic
858C2×Dic59C22×D411yescharacteristic
859D236—22no—
860D236—21no—
861D236—21no—
862D236—21no—
863D236—21no—
864D236—21no—
865D236—42no—
866D236—42no—
867D236—42no—
868D236—81no—
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—81no—
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×C59—162no—
925C22×C59C23×D411yescharacteristic
926C2×D59—21no—
927C2×D59—21no—
928C2×D59—21no—
929C2×D59—21no—
930C2×D59—21no—
931C2×D59—22no—
932C2×D59—21no—
933C2×D59—21no—
934C2×D59—44no—
935C2×D59—48no—
936C2×D59—41no—
937C2×D59—41no—
938C2×D59—41no—
939C2×D59—41no—
940C2×D59—41no—
941C2×D59—41no—
942C2×D59—41no—
943C2×D59—41no—
944C2×D59—82no—
945C2×D59—84no—
946C2×D59—84no—
947C2×D59—84no—
948C2×D59—84no—
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#3273D5911yescharacteristic, complemented
986#3268—591no—
987#3268—591no—
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)C2×D5911yescharacteristic, complemented
1023C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
1024C2×#135—591no—
1025C2×#135—591no—
1026C22×D8—591no—
1027C22×D8—591no—
1028#555—591no—
1029#554—591no—
1030#553—591no—
1031#553—591no—
1032#553—1181no—
1033#550—591no—
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—1181no—
1043#546—1181no—
1044#546—1181no—
1045#546—1181no—
1046#546—1181no—
1047#546—1181no—
1048#546C2×D5911yescharacteristic, complemented
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#496—591no—
1073#495—591no—
1074#495C2×D5911yescharacteristic, complemented
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#468C2×D5911yescharacteristic, complemented
1102#468C2×D5911yescharacteristic, complemented
1103#467—591no—
1104#467—591no—
1105#466—591no—
1106#466—591no—
1107#466—591no—
1108#466—591no—
1109#465—591no—
1110#465—591no—
1111#464—591no—
1112#464—591no—
1113#463—591no—
1114#463—591no—
1115#463—591no—
1116#463—591no—
1117#463—591no—
1118#463—591no—
1119#463C2×D5911yescharacteristic, complemented
1120#463C2×D5911yescharacteristic, complemented
1121#459—591no—
1122#459—591no—
1123#452—591no—
1124#452—591no—
1125#452C2×D5911yescharacteristic, complemented
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#449—591no—
1141#449—591no—
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#447C2×D5911yescharacteristic, complemented
1158#447C2×D5911yescharacteristic, complemented
1159#442—591no—
1160#442—591no—
1161#440—591no—
1162#440—591no—
1163C4×D8—591no—
1164C4×D8—591no—
1165C4×D8—591no—
1166C4×D8C2×D5911yescharacteristic, complemented
1167#436—591no—
1168#436C2×D5911yescharacteristic, complemented
1169#435—591no—
1170#435—591no—
1171#435—591no—
1172#435—591no—
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—591no—
1195C2×#41—1181no—
1196C2×#41—1181no—
1197C2×#41—1181no—
1198C2×#41—2362no—
1199C2×#41—2362no—
1200C2×#41C22×D5911yescharacteristic
1201C2×#41C22×D5911yescharacteristic
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—1181no—
1211C22×D4—1181no—
1212C22×D4—1181no—
1213C22×D4—1181no—
1214C22×D4—1181no—
1215C22×D4—1181no—
1216C22×D4—1181no—
1217C22×D4—1181no—
1218C22×D4—2362no—
1219C22×D4—2362no—
1220C22×D4C22×D5911yescharacteristic
1221C22×D4C22×D5911yescharacteristic, complemented
1222C23×C4—591no—
1223C23×C4—591no—
1224C23×C4—1181no—
1225C23×C4—1181no—
1226AGL(1,ℤ/8)—42no—
1227AGL(1,ℤ/8)—42no—
1228AGL(1,ℤ/8)—2362no—
1229AGL(1,ℤ/8)—2362no—
1230#135—2362no—
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×M16C22×D5911yescharacteristic
1261C2×M16C22×D5911yescharacteristic, complemented
1262C22×C8—591no—
1263C22×C8—591no—
1264C22×C8—591no—
1265C22×C8—591no—
1266C4⋊Q8—591no—
1267#127—591no—
1268#127—1181no—
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—1181no—
1278#124—1181no—
1279#124—1181no—
1280#124—1181no—
1281#124—1181no—
1282#124C22×D5911yescharacteristic
1283#124C22×D5911yescharacteristic, complemented
1284#123—21no—
1285#123—21no—
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—1181no—
1305C22⋊Q8—1181no—
1306C22⋊Q8—1181no—
1307C22⋊Q8—1181no—
1308C22⋊Q8C22×D5911yescharacteristic
1309C22⋊Q8C22×D5911yescharacteristic, complemented
1310#121—21no—
1311#121—21no—
1312#121—591no—
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#121—1181no—
1344#121C22×D5911yescharacteristic
1345#121C22×D5911yescharacteristic
1346#120—21no—
1347#120—21no—
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×Q8—591no—
1361C4×D4—591no—
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—1181no—
1374C4×D4—1181no—
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×D4C22×D5911yescharacteristic
1386C4×D4C22×D5911yescharacteristic
1387C4×D4C22×D5911yescharacteristic, complemented
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—21no—
1399C2×C22⋊C4—591no—
1400C2×C22⋊C4—591no—
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#97—591no—
1475C4×C8—591no—
1476C4×C8C22×D5911yescharacteristic, complemented
1477C24—21no—
1478C24—21no—
1479C24—591no—
1480C24—591no—
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—1182no—
1495#41—1182no—
1496#41—1182no—
1497#41—4722no—
1498#41—2361no—
1499#41—2364no—
1500#41—2361no—
1501#41—2361no—
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—41no—
1520C2×D4—41no—
1521C2×D4—41no—
1522C2×D4—591no—
1523C2×D4—591no—
1524C2×D4—591no—
1525C2×D4—591no—
1526C2×D4—591no—
1527C2×D4—591no—
1528C2×D4—1182no—
1529C2×D4—1181no—
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—1181no—
1540C2×D4—1182no—
1541C2×D4—1182no—
1542C2×D4—1182no—
1543C2×D4—1182no—
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—1181no—
1555C2×D4—1181no—
1556C2×D4—4722no—
1557C2×D4—4722no—
1558C2×D4—4722no—
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—41no—
1639M16—2361no—
1640M16—2361no—
1641C2×C8—591no—
1642C2×C8—591no—
1643C2×C8—591no—
1644C2×C8—591no—
1645C2×C8—2361no—
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—21no—
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—591no—
1688C22⋊C4—591no—
1689C22⋊C4—591no—
1690C22⋊C4—591no—
1691C22⋊C4—591no—
1692C22⋊C4—591no—
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—591no—
1725C42—591no—
1726C42—591no—
1727C42—1181no—
1728C42—1181no—
1729C42—1181no—
1730C42C23×D5911yescharacteristic
1731C23—21no—
1732C23—21no—
1733C23—21no—
1734C23—21no—
1735C23—42no—
1736C23—42no—
1737C23—42no—
1738C23—81no—
1739C23—81no—
1740C23—81no—
1741C23—591no—
1742C23—591no—
1743C23—591no—
1744C23—1182no—
1745C23—1182no—
1746C23—1182no—
1747C23—1184no—
1748C23—1181no—
1749C23—1181no—
1750C23—1181no—
1751C23—4721no—
1752C23—4721no—
1753C23—4721no—
1754C23—4721no—
1755C23—4721no—
1756C23—47216no—
1757C23—2361no—
1758C23—2361no—
1759C23—2361no—
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—81no—
1793D4—81no—
1794D4—81no—
1795D4—81no—
1796D4—592no—
1797D4—1182no—
1798D4—1182no—
1799D4—1184no—
1800D4—1181no—
1801D4—1181no—
1802D4—1181no—
1803D4—1181no—
1804D4—1181no—
1805D4—4721no—
1806D4—4721no—
1807D4—4721no—
1808D4—4721no—
1809D4—4721no—
1810D4—4721no—
1811D4—4721no—
1812D4—4721no—
1813D4—4721no—
1814D4—2362no—
1815D4—2362no—
1816D4—2362no—
1817D4—2361no—
1818D4—2362no—
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—2361no—
1875C2×C4—2361no—
1876C2×C4—2362no—
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—162no—
1911C22—592no—
1912C22—592no—
1913C22—1181no—
1914C22—1181no—
1915C22—1181no—
1916C22—1181no—
1917C22—1181no—
1918C22—1182no—
1919C22—1181no—
1920C22—1181no—
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×#3273C2
socleC22×C59C23×D4
hypercenter#3273D59
hypocenterC59#61592
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3273

Complements

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

NH ≅ G/Ntype
1. #21438125C2semidirect
2. #546×D59C2semidirect
3. #21436299C2semidirect
4. #21436297C2semidirect
5. #21436247C2semidirect
6. #21436245C2semidirect
7. #21436172C2semidirect
8. #21436170C2semidirect
9. #21435953C2semidirect
10. #21435951C2semidirect
11. #21435780C2semidirect
12. #21435776C2semidirect
13. #21435703C2semidirect
14. #21435639C2semidirect
15. #21435630C2semidirect
16. #21435574C2semidirect
17. #21435570C2semidirect
18. #21435081C2semidirect
19. #21435056C2semidirect
20. #21434911C2semidirect
21. #21434897C2semidirect
22. #21434875C2semidirect
23. #21434845C2semidirect
24. #21434233C2semidirect
25. #21434094C2semidirect
26. #21433344C2semidirect
27. #21433321C2semidirect
28. #21433317C2semidirect
29. #447×D59C2semidirect
30. #21433128C2semidirect
31. C59×#3273C2semidirect
32. C2×#41×D59C22semidirect
33. C22×D4×D59C22semidirect
34. C2×#14273753C22semidirect
35. C2×#14273752C22semidirect
36. C2×#14273750C22semidirect
37. C2×#14273748C22semidirect
38. C2×D8×D59C22semidirect
39. C2×D8×D59C22semidirect
40. #16838116C22semidirect
41. #16838110C22semidirect
42. #16838102C22semidirect
43. #16838098C22semidirect
45. #16838071C22semidirect
48. #16838048C22semidirect
49. #16838047C22semidirect
50. #16838046C22semidirect
51. #16838045C22semidirect
52. #16838045C22semidirect
54. #16838043C22semidirect
60. D4×C22⋊D59C22semidirect
65. #16837949C22semidirect
66. #16837931C22semidirect
67. #124×D59C22semidirect
68. #16837915C22semidirect
71. C22⋊Q8×D59C22semidirect
72. C2×#14273698C22semidirect
75. #121×D59C22semidirect
79. C4×D4×D59C22semidirect
81. #16837790C22semidirect
82. #16837788C22semidirect
83. #16837784C22semidirect
84. #16837763C22semidirect
85. #16837760C22semidirect
86. #16837757C22semidirect
87. #16837756C22semidirect
88. #16837744C22semidirect
89. #16837740C22semidirect
90. #16837739C22semidirect
91. #16837736C22semidirect
92. #16837731C22semidirect
93. #16837729C22semidirect
94. #16837725C22semidirect
95. #16837717C22semidirect
96. #16837716C22semidirect
97. #16837714C22semidirect
98. #16837714C22semidirect
99. #16837713C22semidirect
100. #16837703C22semidirect
101. #16837702C22semidirect
102. #16837681C22semidirect
103. #16837680C22semidirect
104. #16837655C22semidirect
105. #16837653C22semidirect
106. #16837650C22semidirect
107. #16837650C22semidirect
108. #16837648C22semidirect
109. #16837646C22semidirect
110. #16837642C22semidirect
111. #16837640C22semidirect
112. #16837637C22semidirect
113. #16837637C22semidirect
114. #16837635C22semidirect
115. #16837635C22semidirect
116. #16837630C22semidirect
117. #16837628C22semidirect
118. #16837626C22semidirect
119. #16837622C22semidirect
120. #16837619C22semidirect
121. #16837618C22semidirect
122. #16837617C22semidirect
123. #16837615C22semidirect
124. #16837614C22semidirect
125. #16837614C22semidirect
126. #16837596C22semidirect
127. #16837595C22semidirect
128. #16837564C22semidirect
129. #16837562C22semidirect
130. #16837556C22semidirect
131. #16837554C22semidirect
132. #16837551C22semidirect
133. #16837551C22semidirect
134. #16837551C22semidirect
135. #16837551C22semidirect
136. #16837551C22semidirect
137. #16837550C22semidirect
138. #16837549C22semidirect
139. #16837547C22semidirect
140. #16837546C22semidirect
141. #16837546C22semidirect
142. #16837546C22semidirect
143. #16837544C22semidirect
144. #16837544C22semidirect
145. #16837542C22semidirect
146. #16837539C22semidirect
147. #16837539C22semidirect
148. #16837538C22semidirect
149. #16837537C22semidirect
150. #16837537C22semidirect
151. #16837536C22semidirect
152. #16837536C22semidirect
153. #16837535C22semidirect
156. #16837534C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. #16837514C22semidirect
161. #16837511C22semidirect
162. #16837505C22semidirect
163. #16837503C22semidirect
164. C4×D472C22semidirect
165. C4×#11745669C22semidirect
166. C4×#11745669C22semidirect
167. #16837480C22semidirect
168. #16837476C22semidirect
169. #16837476C22semidirect
170. #16837471C22semidirect
171. #16837471C22semidirect
172. C8×D236C22semidirect
173. #16837467C22semidirect
174. #16837458C22semidirect
175. #16837453C22semidirect
176. #16837408C22semidirect
177. #16837407C22semidirect
178. #16837404C22semidirect
179. #16837403C22semidirect
180. #16837397C22semidirect
181. #16837395C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #16837365C22semidirect
185. #16837365C22semidirect
186. C22⋊C8×D59C22semidirect
187. C22⋊C8×D59C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C2×AGL(1,ℤ/8)×C59C22semidirect
190. C59×#546C22semidirect
191. C59×#546C22semidirect
192. C59×#495C22semidirect
193. C59×#468C22semidirect
194. C59×#468C22semidirect
195. C59×#463C22semidirect
196. C59×#463C22semidirect
197. C59×#452C22semidirect
198. C59×#452C22semidirect
199. C59×#447C22semidirect
200. C59×#447C22semidirect
201. C4×D8×C59C22semidirect
202. C59×#436C22semidirect
205. C2×#11745689C23semidirect
239. C2×#11745672C23semidirect
240. C2×#11745660C23semidirect
241. C2×#11745670C23semidirect
242. C2×#11745670C23semidirect
245. C2×#11745671C23semidirect
257. C2×#11745664C23semidirect
260. C2×C8×D59C23semidirect
261. C2×C8×D59C23semidirect
262. #14273726C23semidirect
264. #14273723C23semidirect
268. #14273719C23semidirect
307. #14273701C23semidirect
330. #14273698C23semidirect
331. #14273698C23semidirect
344. Q8×Dic59C23semidirect
347. C4×D236C23semidirect
350. D4×Dic59C23semidirect
370. #14273685C23semidirect
373. C2×C4⋊Dic59C23semidirect
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. #14273637C23semidirect
443. #14273637C23semidirect
444. C4×C59⋊C8C23semidirect
448. C22×D4×C59C23semidirect
451. C2×Q16×C59C23semidirect
454. C2×SD16×C59C23semidirect
455. C2×SD16×C59C23semidirect
461. C2×M16×C59C23semidirect
463. #124×C59C23semidirect
467. C22⋊Q8×C59C23semidirect
476. C4×D4×C59C23semidirect
479. #107×C59C23semidirect
480. C4⋊C8×C59C23semidirect
481. #103×C59C23semidirect
482. #103×C59C23semidirect
485. #102×C59C23semidirect
486. #102×C59C23semidirect
488. C22⋊C8×C59C23semidirect
489. C4×C8×C59C23semidirect
985. #3273D59semidirect
1022. C2×AGL(1,ℤ/8)C2×D59semidirect
1023. C2×AGL(1,ℤ/8)C2×D59semidirect
1048. #546C2×D59semidirect
1049. #546C2×D59semidirect
1074. #495C2×D59semidirect
1101. #468C2×D59semidirect
1102. #468C2×D59semidirect
1119. #463C2×D59semidirect
1120. #463C2×D59semidirect
1125. #452C2×D59semidirect
1126. #452C2×D59semidirect
1157. #447C2×D59semidirect
1158. #447C2×D59semidirect
1166. C4×D8C2×D59semidirect
1168. #436C2×D59semidirect
1189. C59#61592semidirect
1221. C22×D4C22×D59semidirect
1233. C2×Q16C22×D59semidirect
1242. C2×SD16C22×D59semidirect
1243. C2×SD16C22×D59semidirect
1261. C2×M16C22×D59semidirect
1283. #124C22×D59semidirect
1309. C22⋊Q8C22×D59semidirect
1387. C4×D4C22×D59semidirect
1422. #107C22×D59semidirect
1428. C4⋊C8C22×D59semidirect
1437. #103C22×D59semidirect
1438. #103C22×D59semidirect
1459. #102C22×D59semidirect
1460. #102C22×D59semidirect
1472. C22⋊C8C22×D59semidirect
1476. C4×C8C22×D59semidirect

Maximal subgroups

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

subgroupindex
#214381252
#546×D592
#214362992
#214362972
#214362472
#214362452
#214361722
#214361702
#214359532
#214359512
#214357802
#214357762
#214357032
#214356392
#214356302
#214355742
#214355702
#214350812
#214350562
#214349112
#214348972
#214348752
#214348452
#214342332
#214340942
#214333442
#214333212
#214333172
#447×D592
#214331282
C59×#32732
#6159259