Finite Group Databasebeta

← #29474230

Subgroups — #29474230

Order 15104.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438416C211yesmaximal, characteristic, complemented
2#21437731C211yesmaximal, characteristic, complemented
3#21436331C211yesmaximal, characteristic, complemented
4#21436301C211yesmaximal, characteristic, complemented
5#21436245C211yesmaximal, characteristic, complemented
6#21436230C211yesmaximal, characteristic, complemented
7#21436113C211yesmaximal, characteristic, complemented
8#21436053C211yesmaximal, characteristic, complemented
9#21435927C211yesmaximal, characteristic, complemented
10#21435905C211yesmaximal, characteristic, complemented
11#21435781C211yesmaximal, characteristic, complemented
12D8×C22⋊D59C211yesmaximal, characteristic, complemented
13#21435714C211yesmaximal, characteristic, complemented
14#21435707C211yesmaximal, characteristic, complemented
15#21435634C211yesmaximal, characteristic, complemented
16#21435576C211yesmaximal, characteristic, complemented
17#21435576C211yesmaximal, characteristic, complemented
18#21435574C211yesmaximal, characteristic, complemented
19#21435186C211yesmaximal, characteristic, complemented
20#21435142C211yesmaximal, characteristic, complemented
21#21434959C211yesmaximal, characteristic, complemented
22#21434944C211yesmaximal, characteristic, complemented
23#21434910C211yesmaximal, characteristic, complemented
24#21434889C211yesmaximal, characteristic, complemented
25#21434333C211yesmaximal, characteristic, complemented
26#21434273C211yesmaximal, characteristic, complemented
27#21433395C211yesmaximal, characteristic, complemented
28#21433359C211yesmaximal, characteristic, complemented
29#21433323C211yesmaximal, characteristic, complemented
30#21433141C211yesmaximal, characteristic, complemented
31C2×C59×#447C211yesmaximal, characteristic, complemented
32C2×#14273772C2211yescharacteristic, complemented
33C2×#14273753C2211yescharacteristic, complemented
34C2×#14273753C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic, complemented
36C2×#14273751C2211yescharacteristic, complemented
37C2×#14273746C2211yescharacteristic, complemented
38C2×D8×D59C2211yescharacteristic, complemented
39#16838147—21no—
40#16838140—21no—
41#16838116C2211yescharacteristic, complemented
42#16838099C2211yescharacteristic, complemented
43#16838087C2211yescharacteristic, complemented
44#16838078—21no—
45#16838070C2211yescharacteristic, complemented
46#16838053C2211yescharacteristic, complemented
47#16838049C2211yescharacteristic, complemented
48#16838046—21no—
49#16838046—21no—
50#16838046C2211yescharacteristic
51#16838046C2211yescharacteristic, complemented
52#16838046C2211yescharacteristic, complemented
53#16838046C2211yescharacteristic, complemented
54#16838046C2211yescharacteristic, complemented
55#16838042—21no—
56D4×C22⋊D59—21no—
57D4×C22⋊D59—21no—
58D4×C22⋊D59C2211yescharacteristic
59D4×C22⋊D59C2211yescharacteristic, complemented
60D4×C22⋊D59C2211yescharacteristic, complemented
61D4×C22⋊D59C2211yescharacteristic, complemented
62D4×C22⋊D59C2211yescharacteristic, complemented
63#16838019C2211yescharacteristic, complemented
64#16838005C2211yescharacteristic, complemented
65#16838002—21no—
66#16837984—21no—
67#16837981C2211yescharacteristic, complemented
68#16837969—21no—
69#16837969C2211yescharacteristic, complemented
70#16837969C2211yescharacteristic, complemented
71#16837968C2211yescharacteristic, complemented
72#16837961—21no—
73#16837961—21no—
74#16837961—21no—
75#16837913C2211yescharacteristic
76#16837913C2211yescharacteristic, complemented
77#16837913C2211yescharacteristic, complemented
78C2×#14273696—21no—
79C2×#14273696—21no—
80#16837877C2211yescharacteristic, complemented
81#16837790C2211yescharacteristic, complemented
82#16837790C2211yescharacteristic, complemented
83#16837785C2211yescharacteristic, complemented
84#16837777C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837755C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837744C2211yescharacteristic, complemented
91#16837732C2211yescharacteristic, complemented
92#16837727C2211yescharacteristic, complemented
93#16837727C2211yescharacteristic, complemented
94#16837725C2211yescharacteristic, complemented
95#16837724C2211yescharacteristic, complemented
96#16837723C2211yescharacteristic, complemented
97#16837723C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837715C2211yescharacteristic, complemented
100#16837714C2211yescharacteristic, complemented
101#16837704C2211yescharacteristic, complemented
102#16837700C2211yescharacteristic, complemented
103#16837690C2211yescharacteristic, complemented
104#16837680C2211yescharacteristic, complemented
105#16837654C2211yescharacteristic, complemented
106#16837653C2211yescharacteristic, complemented
107#16837653C2211yescharacteristic, complemented
108#16837652C2211yescharacteristic, complemented
109#16837652C2211yescharacteristic, complemented
110#16837647C2211yescharacteristic, complemented
111#16837646C2211yescharacteristic, complemented
112#16837646C2211yescharacteristic, complemented
113#16837643C2211yescharacteristic, complemented
114#16837638C2211yescharacteristic, complemented
115#16837637C2211yescharacteristic, complemented
116#16837635C2211yescharacteristic, complemented
117#16837635C2211yescharacteristic, complemented
118#16837631C2211yescharacteristic, complemented
119#16837631C2211yescharacteristic, complemented
120#16837630C2211yescharacteristic, complemented
121#16837623C2211yescharacteristic, complemented
122#16837616C2211yescharacteristic, complemented
123#16837615C2211yescharacteristic, complemented
124#16837615C2211yescharacteristic, complemented
125#16837615C2211yescharacteristic, complemented
126#16837615C2211yescharacteristic, complemented
127#16837601C2211yescharacteristic, complemented
128#16837596C2211yescharacteristic, complemented
129#16837595C2211yescharacteristic, complemented
130#16837595C2211yescharacteristic, complemented
131#16837595C2211yescharacteristic, complemented
132#16837595C2211yescharacteristic, complemented
133#16837566C2211yescharacteristic, complemented
134#16837566C2211yescharacteristic, complemented
135#16837565C2211yescharacteristic, complemented
136#16837554C2211yescharacteristic, complemented
137#16837553C2211yescharacteristic, complemented
138#16837553C2211yescharacteristic, complemented
139#16837553C2211yescharacteristic, complemented
140#16837553C2211yescharacteristic, complemented
141#16837553C2211yescharacteristic, complemented
142#16837549C2211yescharacteristic, complemented
143#16837549C2211yescharacteristic, complemented
144#16837548C2211yescharacteristic, complemented
145#16837545C2211yescharacteristic, complemented
146#16837545C2211yescharacteristic, complemented
147#16837544C2211yescharacteristic, complemented
148#16837544C2211yescharacteristic, complemented
149#16837544C2211yescharacteristic, complemented
150#16837544C2211yescharacteristic, complemented
151#16837537C2211yescharacteristic, complemented
152#16837536C2211yescharacteristic, complemented
153#16837536C2211yescharacteristic, complemented
154#16837536C2211yescharacteristic, complemented
155#16837536C2211yescharacteristic, complemented
156#16837536C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837534C2211yescharacteristic, complemented
161#16837514C2211yescharacteristic, complemented
162#16837514C2211yescharacteristic, complemented
163#16837511C2211yescharacteristic, complemented
164#16837499C2211yescharacteristic, complemented
165#16837493C2211yescharacteristic, complemented
166D8×Dic59C2211yescharacteristic, complemented
167D8×Dic59C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic, complemented
169#16837477C2211yescharacteristic, complemented
170#16837477C2211yescharacteristic, complemented
171#16837476C2211yescharacteristic, complemented
172#16837476C2211yescharacteristic, complemented
173#16837473C2211yescharacteristic, complemented
174#16837473C2211yescharacteristic, complemented
175C8×C22⋊D59C2211yescharacteristic, complemented
176C8×C22⋊D59C2211yescharacteristic, complemented
177#16837460C2211yescharacteristic, complemented
178#16837460C2211yescharacteristic, complemented
179#16837407C2211yescharacteristic, complemented
180#16837407C2211yescharacteristic, complemented
181#16837405C2211yescharacteristic, complemented
182#16837400C2211yescharacteristic, complemented
183#16837395C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837366C2211yescharacteristic, complemented
188C23×D4×C59C2211yescharacteristic, complemented
189C22×D8×C59C2211yescharacteristic, complemented
190C22×D8×C59C2211yescharacteristic, complemented
191C2×#121×C59C2211yescharacteristic, complemented
192C59×#447C2211yescharacteristic
193C59×#447C2211yescharacteristic, complemented
194C59×#447C2211yescharacteristic, complemented
195C59×#447C2211yescharacteristic, complemented
196C59×#447C2211yescharacteristic, complemented
197C59×#447C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic, complemented
199C59×#447C2211yescharacteristic, complemented
200C2×#102×C59C2211yescharacteristic, complemented
201C2×#102×C59C2211yescharacteristic, complemented
202C2×C22⋊C8×C59C2211yescharacteristic, complemented
203#14273772—42no—
204#14273772—42no—
205C2×#11745685—21no—
206C2×#11745685C2311yescharacteristic
207C2×#11745685C2311yescharacteristic
208C2×#11745685C2311yescharacteristic
209C2×#11745687—21no—
210C2×#11745687C2311yescharacteristic
211C2×#11745687C2311yescharacteristic
212C2×#11745687C2311yescharacteristic, complemented
213C22×C22⋊D59—21no—
214C22×C22⋊D59—21no—
215C22×C22⋊D59—21no—
216C22×C22⋊D59—21no—
217C22×C22⋊D59—21no—
218C22×C22⋊D59—21no—
219C22×C22⋊D59—21no—
220C2×D4×D59—21no—
221C2×D4×D59C2311yescharacteristic
222C2×D4×D59C2311yescharacteristic
223C2×D4×D59C2311yescharacteristic, complemented
224#14273753—42no—
225#14273753—42no—
226#14273751—42no—
227#14273751—42no—
228#14273746—42no—
229C2×Dic236C2311yescharacteristic, complemented
230C2×#11745660C2311yescharacteristic, complemented
231C2×#11745660C2311yescharacteristic, complemented
232C2×#11745670C2311yescharacteristic
233C2×#11745670C2311yescharacteristic
234C2×#11745670C2311yescharacteristic
235C2×#11745670C2311yescharacteristic
236C2×#11745670C2311yescharacteristic, complemented
237C2×#11745670C2311yescharacteristic, complemented
238C2×D472C2311yescharacteristic, complemented
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745669C2311yescharacteristic, complemented
244C2×#11745669C2311yescharacteristic, complemented
245D8×D59—42no—
246C2×#11745664C2311yescharacteristic
247C2×#11745664C2311yescharacteristic
248C2×#11745659C2311yescharacteristic, complemented
249C2×#11745659C2311yescharacteristic, complemented
250C2×C8×D59C2311yescharacteristic, complemented
251C2×C8×D59C2311yescharacteristic, complemented
252#14273726C2311yescharacteristic, complemented
253#14273723—21no—
254#14273723—21no—
255#14273723—21no—
256#14273723C2311yescharacteristic
257#14273723C2311yescharacteristic
258#14273723C2311yescharacteristic, complemented
259#14273722—21no—
260#14273720—21no—
261#14273720—21no—
262#14273718C2311yescharacteristic, complemented
263#14273717—21no—
264#14273714—21no—
265#14273714—21no—
266#14273714—21no—
267#14273714C2311yescharacteristic
268#14273714C2311yescharacteristic
269#14273714C2311yescharacteristic, complemented
270#14273713—21no—
271#14273713—21no—
272#14273712—21no—
273#14273711—21no—
274#14273710—21no—
275#14273710—21no—
276#14273710—21no—
277#14273710—21no—
278#14273710D411yescharacteristic
279#14273710D411yescharacteristic
280#14273709—21no—
281#14273709—21no—
282#14273708—21no—
283#14273708—21no—
284#14273708—21no—
285#14273708—21no—
286#14273708—21no—
287#14273708—21no—
288#14273708—21no—
289#14273707C2311yescharacteristic, complemented
290#14273706D411yescharacteristic
291#14273706D411yescharacteristic
292#14273706C2311yescharacteristic
293#14273706C2311yescharacteristic
294#14273706C2311yescharacteristic
295#14273706C2311yescharacteristic
296#14273705—21no—
297#14273704—21no—
298#14273704—21no—
299#14273702C2311yescharacteristic, complemented
300#14273701D411yescharacteristic
301#14273701D411yescharacteristic
302#14273701C2311yescharacteristic
303#14273701C2311yescharacteristic
304#14273701C2311yescharacteristic
305#14273701C2311yescharacteristic
306#14273700—21no—
307#14273700—21no—
308#14273699—21no—
309#14273699—21no—
310#14273699—21no—
311#14273699—21no—
312#14273699—21no—
313#14273699—21no—
314#14273699—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#14273698—21no—
327#14273698—21no—
328#14273698C2311yescharacteristic
329#14273698C2311yescharacteristic
330#14273698C2311yescharacteristic
331#14273698C2311yescharacteristic
332#14273698C2311yescharacteristic, complemented
333#14273698C2311yescharacteristic, complemented
334#14273697—21no—
335#14273696—21no—
336#14273696—21no—
337#14273696—21no—
338#14273696—21no—
339#14273696—21no—
340#14273696—21no—
341#14273696—21no—
342#14273696—21no—
343#14273696—21no—
344#14273696—21no—
345#14273696—21no—
346#14273696—21no—
347#14273696—21no—
348#14273696—21no—
349#14273696—21no—
350#14273696—21no—
351#14273696D411yescharacteristic
352#14273696D411yescharacteristic
353#14273695—21no—
354#14273695—21no—
355#14273695—21no—
356#14273695—21no—
357#14273695—21no—
358#14273695—21no—
359#14273695—21no—
360#14273692C2311yescharacteristic, complemented
361D4×Dic59—21no—
362D4×Dic59—21no—
363D4×Dic59C2311yescharacteristic
364D4×Dic59C2311yescharacteristic
365D4×Dic59C2311yescharacteristic
366D4×Dic59C2311yescharacteristic
367D4×Dic59C2311yescharacteristic, complemented
368D4×Dic59C2311yescharacteristic, complemented
369#14273689C2311yescharacteristic, complemented
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59—21no—
374C4×C22⋊D59C2311yescharacteristic
375C4×C22⋊D59C2311yescharacteristic
376C4×C22⋊D59C2311yescharacteristic
377C4×C22⋊D59C2311yescharacteristic
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4—21no—
380#14273686—21no—
381#14273686C2311yescharacteristic
382#14273686C2311yescharacteristic
383#14273686C2311yescharacteristic
384#14273685C2311yescharacteristic, complemented
385#14273683—21no—
386C4⋊C4×D59C2311yescharacteristic, complemented
387C2×C22⋊Dic59—21no—
388C2×C22⋊Dic59—21no—
389C2×C22⋊Dic59—21no—
390C2×C22⋊Dic59—21no—
391C2×C22⋊Dic59—21no—
392C2×C22⋊Dic59—21no—
393C2×C22⋊Dic59—21no—
394C22⋊C4×D59—21no—
395#14273661C2311yescharacteristic, complemented
396#14273661C2311yescharacteristic, complemented
397#14273660C2311yescharacteristic, complemented
398#14273660C2311yescharacteristic, complemented
399#14273659C2311yescharacteristic, complemented
400#14273659C2311yescharacteristic, complemented
401#14273658C2311yescharacteristic, complemented
402#14273658C2311yescharacteristic, complemented
403Dic59⋊C8C2311yescharacteristic, complemented
404Dic59⋊C8C2311yescharacteristic, complemented
405Dic59⋊C8C2311yescharacteristic, complemented
406Dic59⋊C8C2311yescharacteristic, complemented
407#14273652C2311yescharacteristic, complemented
408#14273652C2311yescharacteristic, complemented
409#14273652C2311yescharacteristic, complemented
410#14273652C2311yescharacteristic, complemented
411#14273650C2311yescharacteristic, complemented
412#14273650C2311yescharacteristic, complemented
413#14273649C2311yescharacteristic, complemented
414#14273649C2311yescharacteristic, complemented
415#14273649C2311yescharacteristic, complemented
416#14273649C2311yescharacteristic, complemented
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic, complemented
426#14273648C2311yescharacteristic, complemented
427#14273648C2311yescharacteristic, complemented
428#14273648C2311yescharacteristic, complemented
429#14273647C2311yescharacteristic, complemented
430#14273647C2311yescharacteristic, complemented
431C22⋊(C59⋊C8)C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic, complemented
436(C2×D59)⋊C8C2311yescharacteristic, complemented
437(C2×D59)⋊C8C2311yescharacteristic, complemented
438(C2×D59)⋊C8C2311yescharacteristic, complemented
439#14273637C2311yescharacteristic, complemented
440#14273637C2311yescharacteristic, complemented
441C8×Dic59C2311yescharacteristic, complemented
442C8×Dic59C2311yescharacteristic, complemented
443C25×C59—21no—
444C22×D4×C59—21no—
445C22×D4×C59—21no—
446C22×D4×C59—21no—
447C22×D4×C59—21no—
448C22×D4×C59—42no—
449C22×D4×C59—42no—
450C22×D4×C59C2311yescharacteristic
451C22×D4×C59C2311yescharacteristic
452C22×D4×C59C2311yescharacteristic
453C22×D4×C59C2311yescharacteristic
454C22×D4×C59C2311yescharacteristic
455C22×D4×C59C2311yescharacteristic
456C22×D4×C59C2311yescharacteristic
457C23×C4×C59C2311yescharacteristic
458C2×D8×C59—42no—
459C2×D8×C59—42no—
460C2×D8×C59C2311yescharacteristic
461C2×D8×C59C2311yescharacteristic
462C2×D8×C59C2311yescharacteristic
463C2×D8×C59C2311yescharacteristic
464C2×D8×C59C2311yescharacteristic
465C2×D8×C59C2311yescharacteristic
466C2×D8×C59C2311yescharacteristic
467C2×D8×C59C2311yescharacteristic
468C22×C8×C59C2311yescharacteristic
469C22×C8×C59C2311yescharacteristic
470#121×C59—21no—
471#121×C59—21no—
472#121×C59C2311yescharacteristic
473#121×C59C2311yescharacteristic
474#121×C59C2311yescharacteristic
475#121×C59C2311yescharacteristic
476C2×C4⋊C4×C59C2311yescharacteristic
477C2×C22⋊C4×C59—21no—
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C22⋊C8×C59C2311yescharacteristic
490C24×C59—21no—
491C24×C59—21no—
492C24×C59—21no—
493C24×C59—21no—
494C24×C59—21no—
495C24×C59—21no—
496C24×C59—21no—
497C24×C59—44no—
498C24×C59—82no—
499C24×C59—82no—
500C24×C59C2×D411yescharacteristic
501C23×D59—21no—
502C23×D59—21no—
503C23×D59—21no—
504C2×D4×C59—22no—
505C2×D4×C59—22no—
506C2×D4×C59—22no—
507C2×D4×C59—22no—
508C2×D4×C59—22no—
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—21no—
517C2×D4×C59—21no—
518C2×D4×C59—21no—
519C2×D4×C59—21no—
520C2×D4×C59—21no—
521C2×D4×C59—41no—
522C2×D4×C59—41no—
523C2×D4×C59—41no—
524C2×D4×C59—41no—
525C2×D4×C59—41no—
526C2×D4×C59—41no—
527C2×D4×C59—41no—
528C2×D4×C59—41no—
529C2×D4×C59—44no—
530C2×D4×C59—44no—
531C2×D4×C59—44no—
532C2×D4×C59—82no—
533C2×D4×C59C2411yescharacteristic
534C2×D4×C59C2411yescharacteristic
535C2×D4×C59C2411yescharacteristic
536C2×D4×C59C2411yescharacteristic
537C2×D4×C59C2411yescharacteristic
538C2×D4×C59C2411yescharacteristic
539C22×C4×C59—21no—
540C22×C4×C59—41no—
541C22×C4×C59—41no—
542C22×C4×C59C2×D411yescharacteristic
543C22×C4×C59C2×D411yescharacteristic
544C22×C4×C59C2×D411yescharacteristic
545C22×C4×C59C2411yescharacteristic
546C22×C4×C59C2411yescharacteristic
547C22×C4×C59C2411yescharacteristic
548C2×C22⋊D59—21no—
549C2×C22⋊D59—21no—
550C2×C22⋊D59—21no—
551C2×C22⋊D59—21no—
552C2×C22⋊D59—21no—
553C2×C22⋊D59—21no—
554C2×C22⋊D59—21no—
555C2×C22⋊D59—21no—
556C2×C22⋊D59—21no—
557C2×C22⋊D59—21no—
558C2×C22⋊D59—21no—
559C2×C22⋊D59—21no—
560C2×C22⋊D59—21no—
561C2×C22⋊D59—21no—
562C2×C22⋊D59—21no—
563C2×C22⋊D59—21no—
564C2×C22⋊D59—21no—
565C2×C22⋊D59—21no—
566C2×C22⋊D59—21no—
567C2×C22⋊D59—21no—
568C2×C22⋊D59—21no—
569C2×C22⋊D59—21no—
570C2×C22⋊D59—21no—
571C2×C22⋊D59—21no—
572C2×C22⋊D59—44no—
573C2×C22⋊D59—44no—
574C2×C22⋊D59—82no—
575C2×C22⋊D59—82no—
576C2×C22⋊D59—82no—
577C2×C22⋊D59—82no—
578C2×C22⋊D59—82no—
579C2×C22⋊D59C2×D411yescharacteristic
580C2×C22⋊D59C2×D411yescharacteristic
581C2×C22⋊D59C2×D411yescharacteristic
582C2×C22⋊D59C2×D411yescharacteristic
583C2×C22⋊D59C2×D411yescharacteristic
584C2×C22⋊D59C2×D411yescharacteristic
585C22×Dic59—21no—
586C22×Dic59—21no—
587C22×Dic59—21no—
588C22×Dic59—21no—
589C22×Dic59—21no—
590C22×Dic59—21no—
591C22×Dic59—21no—
592C22×Dic59—21no—
593C22×Dic59—21no—
594#11745687—22no—
595#11745687—22no—
596#11745687—41no—
597#11745687—41no—
598#11745687—41no—
599#11745687—41no—
600#11745687—44no—
601D4×D59—22no—
602D4×D59—22no—
603D4×D59—41no—
604D4×D59—41no—
605D4×D59—41no—
606D4×D59—41no—
607D4×D59—44no—
608#11745685—41no—
609#11745685—41no—
610#11745685—41no—
611#11745685—41no—
612#11745685—41no—
613#11745685—41no—
614#11745685—82no—
615C2×D236—21no—
616C2×D236C2×D411yescharacteristic
617C2×D236C2411yescharacteristic
618C2×D236C2411yescharacteristic
619C2×C4×D59—21no—
620C2×C4×D59—21no—
621C2×C4×D59—21no—
622C2×C4×D59—21no—
623C2×C4×D59C2411yescharacteristic
624C2×C4×D59C2411yescharacteristic
625C2×Dic118—21no—
626C2×Dic118C2×D411yescharacteristic
627C2×Dic118C2411yescharacteristic
628C2×Dic118C2411yescharacteristic
629D8×C59—22no—
630D8×C59—22no—
631D8×C59—22no—
632D8×C59—22no—
633D8×C59—41no—
634D8×C59—41no—
635D8×C59—41no—
636D8×C59—41no—
637C2×C8×C59—41no—
638C2×C8×C59—41no—
639C2×C8×C59C2411yescharacteristic
640C2×C8×C59C2411yescharacteristic
641C2×C8×C59C2411yescharacteristic
642C2×C8×C59C2411yescharacteristic
643C4⋊C4×C59—21no—
644C4⋊C4×C59C2411yescharacteristic
645C4⋊C4×C59C2411yescharacteristic
646C22⋊C4×C59—21no—
647C22⋊C4×C59—21no—
648C22⋊C4×C59—21no—
649C22⋊C4×C59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59—21no—
652C22⋊Dic59—21no—
653C22⋊Dic59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59—21no—
657C22⋊Dic59—21no—
658C22⋊Dic59—21no—
659C22⋊Dic59—21no—
660C22⋊Dic59—21no—
661C22⋊Dic59—21no—
662C22⋊Dic59—21no—
663C22⋊Dic59—21no—
664C22⋊Dic59—21no—
665C22⋊Dic59—21no—
666C22⋊Dic59—21no—
667C22⋊Dic59—21no—
668C22⋊Dic59—21no—
669C22⋊Dic59—21no—
670C22⋊Dic59—21no—
671C22⋊Dic59—21no—
672C22⋊Dic59—21no—
673C22⋊Dic59—21no—
674C22⋊Dic59C2×D411yescharacteristic
675C22⋊Dic59C2×D411yescharacteristic
676C22⋊Dic59C2×D411yescharacteristic
677C22⋊Dic59C2×D411yescharacteristic
678C22⋊Dic59C2×D411yescharacteristic
679C22⋊Dic59C2×D411yescharacteristic
680#11745670—22no—
681#11745670—22no—
682#11745670—41no—
683#11745670—41no—
684#11745670—41no—
685#11745670—41no—
686#11745669—22no—
687#11745669—22no—
688#11745669—41no—
689#11745669—41no—
690#11745669—41no—
691#11745669—41no—
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)⋊C4C2×D411yescharacteristic
701(C2×D59)⋊C4C2×D411yescharacteristic
702(C2×D59)⋊C4C2×D411yescharacteristic
703(C2×D59)⋊C4C2×D411yescharacteristic
704C4⋊Dic59—21no—
705C4⋊Dic59—21no—
706C4⋊Dic59C2×D411yescharacteristic
707C4⋊Dic59C2×D411yescharacteristic
708C4⋊Dic59C2411yescharacteristic
709C4⋊Dic59C2411yescharacteristic
710C4⋊Dic59C2411yescharacteristic
711C4⋊Dic59C2411yescharacteristic
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4—21no—
718Dic59⋊C4—21no—
719Dic59⋊C4—21no—
720Dic59⋊C4C2×D411yescharacteristic
721Dic59⋊C4C2×D411yescharacteristic
722Dic59⋊C4C2×D411yescharacteristic
723Dic59⋊C4C2×D411yescharacteristic
724C4×Dic59—21no—
725C4×Dic59—21no—
726C4×Dic59—21no—
727C4×Dic59—21no—
728C4×Dic59C2411yescharacteristic
729C4×Dic59C2411yescharacteristic
730#11745664—41no—
731#11745664—41no—
732C2×C59⋊C8C2411yescharacteristic
733C2×C59⋊C8C2411yescharacteristic
734C2×C59⋊C8C2411yescharacteristic
735C2×C59⋊C8C2411yescharacteristic
736Dic236—41no—
737D472—41no—
738#11745660—41no—
739#11745660—41no—
740#11745659—41no—
741#11745659—41no—
742C8×D59—41no—
743C8×D59—41no—
744C23×C59—24no—
745C23×C59—22no—
746C23×C59—21no—
747C23×C59—21no—
748C23×C59—21no—
749C23×C59—21no—
750C23×C59—21no—
751C23×C59—21no—
752C23×C59—41no—
753C23×C59—41no—
754C23×C59—42no—
755C23×C59—42no—
756C23×C59—42no—
757C23×C59—42no—
758C23×C59—42no—
759C23×C59—42no—
760C23×C59—42no—
761C23×C59—42no—
762C23×C59—42no—
763C23×C59—42no—
764C23×C59—81no—
765C23×C59—81no—
766C23×C59—81no—
767C23×C59—81no—
768C23×C59—81no—
769C23×C59—81no—
770C23×C59—81no—
771C23×C59—81no—
772C23×C59—81no—
773C23×C59—81no—
774C23×C59—816no—
775C23×C59C22×D411yescharacteristic
776C23×C59C22×D411yescharacteristic
777C23×C59C22×D411yescharacteristic
778C22×D59—21no—
779C22×D59—21no—
780C22×D59—42no—
781C22×D59—42no—
782C22×D59—81no—
783C22×D59—81no—
784C22×D59—81no—
785C22×D59—81no—
786C22×D59—81no—
787C22×D59—81no—
788C22×D59—81no—
789C22×D59C22×D411yescharacteristic
790C22×D59C22×D411yescharacteristic
791D4×C59—24no—
792D4×C59—21no—
793D4×C59—21no—
794D4×C59—21no—
795D4×C59—21no—
796D4×C59—21no—
797D4×C59—21no—
798D4×C59—21no—
799D4×C59—21no—
800D4×C59—21no—
801D4×C59—21no—
802D4×C59—42no—
803D4×C59—42no—
804D4×C59—42no—
805D4×C59—42no—
806D4×C59—42no—
807D4×C59—81no—
808D4×C59—81no—
809D4×C59—81no—
810D4×C59—81no—
811D4×C59—81no—
812D4×C59H(5,𝔽2)12yes—
813D4×C59H(5,𝔽2)12yes—
814C2×C4×C59—21no—
815C2×C4×C59—21no—
816C2×C4×C59—21no—
817C2×C4×C59—21no—
818C2×C4×C59—21no—
819C2×C4×C59—21no—
820C2×C4×C59—21no—
821C2×C4×C59—21no—
822C2×C4×C59—41no—
823C2×C4×C59—41no—
824C2×C4×C59—41no—
825C2×C4×C59—42no—
826C2×C4×C59C22×D411yescharacteristic
827C2×C4×C59C22×D411yescharacteristic
828C2×C4×C59C22×D411yescharacteristic
829C2×C4×C59C2511yescharacteristic
830C22⋊D59—22no—
831C22⋊D59—22no—
832C22⋊D59—41no—
833C22⋊D59—41no—
834C22⋊D59—41no—
835C22⋊D59—41no—
836C22⋊D59—42no—
837C22⋊D59—42no—
838C22⋊D59—42no—
839C22⋊D59—42no—
840C22⋊D59—42no—
841C22⋊D59—42no—
842C22⋊D59—42no—
843C22⋊D59—42no—
844C22⋊D59—81no—
845C22⋊D59—81no—
846C22⋊D59—81no—
847C22⋊D59—81no—
848C22⋊D59—81no—
849C22⋊D59—81no—
850C22⋊D59—81no—
851C22⋊D59—81no—
852C22⋊D59—81no—
853C22⋊D59—81no—
854C22⋊D59—81no—
855C22⋊D59—81no—
856C22⋊D59—81no—
857C22⋊D59—81no—
858C22⋊D59—81no—
859C22⋊D59—81no—
860C2×Dic59—21no—
861C2×Dic59—21no—
862C2×Dic59—21no—
863C2×Dic59—21no—
864C2×Dic59—21no—
865C2×Dic59—21no—
866C2×Dic59—42no—
867C2×Dic59—42no—
868C2×Dic59—81no—
869C2×Dic59—81no—
870C2×Dic59—81no—
871C2×Dic59—81no—
872C2×Dic59—81no—
873C2×Dic59—81no—
874C2×Dic59—81no—
875C2×Dic59C22×D411yescharacteristic
876C2×Dic59C22×D411yescharacteristic
877C2×Dic59C22×D411yescharacteristic
878C2×Dic59C22×D411yescharacteristic
879C2×Dic59C22×D411yescharacteristic
880C2×Dic59C22×D411yescharacteristic
881D236—21no—
882D236—21no—
883D236—21no—
884D236—21no—
885D236—41no—
886D236—81no—
887C4×D59—21no—
888C4×D59—21no—
889C4×D59—21no—
890C4×D59—21no—
891C4×D59—42no—
892C4×D59—81no—
893C4×D59—81no—
894C4×D59—81no—
895Dic118—21no—
896Dic118—21no—
897Dic118—21no—
898Dic118—21no—
899Dic118—41no—
900Dic118—81no—
901C8×C59—21no—
902C8×C59—21no—
903C8×C59—21no—
904C8×C59—21no—
905C59⋊C8—21no—
906C59⋊C8—21no—
907C59⋊C8—21no—
908C59⋊C8—21no—
909#61609—591nomaximal, Sylow
910C22×C59—21no—
911C22×C59—21no—
912C22×C59—21no—
913C22×C59—21no—
914C22×C59—22no—
915C22×C59—22no—
916C22×C59—21no—
917C22×C59—21no—
918C22×C59—21no—
919C22×C59—21no—
920C22×C59—44no—
921C22×C59—41no—
922C22×C59—41no—
923C22×C59—41no—
924C22×C59—41no—
925C22×C59—41no—
926C22×C59—41no—
927C22×C59—41no—
928C22×C59—41no—
929C22×C59—41no—
930C22×C59—41no—
931C22×C59—41no—
932C22×C59—41no—
933C22×C59—41no—
934C22×C59—41no—
935C22×C59—41no—
936C22×C59—41no—
937C22×C59—84no—
938C22×C59—84no—
939C22×C59—84no—
940C22×C59—84no—
941C22×C59—84no—
942C22×C59—84no—
943C22×C59—162no—
944C22×C59#57612yes—
945C22×C59C23×D411yescharacteristic
946C2×D59—21no—
947C2×D59—21no—
948C2×D59—21no—
949C2×D59—21no—
950C2×D59—21no—
951C2×D59—21no—
952C2×D59—41no—
953C2×D59—41no—
954C2×D59—41no—
955C2×D59—41no—
956C2×D59—41no—
957C2×D59—41no—
958C2×D59—162no—
959C2×D59—162no—
960C2×D59—162no—
961C4×C59—21no—
962C4×C59—21no—
963C4×C59—21no—
964C4×C59—41no—
965C4×C59—41no—
966C4×C59C2×H(5,𝔽2)11yescharacteristic
967C4×C59C2×H(5,𝔽2)11yescharacteristic
968Dic59—21no—
969Dic59—21no—
970Dic59—21no—
971Dic59—21no—
972Dic59—21no—
973Dic59—21no—
974Dic59—41no—
975Dic59—41no—
976Dic59—41no—
977Dic59—41no—
978Dic59—41no—
979Dic59—41no—
980#3542—591no—
981#3484—591no—
982#3325—591no—
983#3322—591no—
984#3319—591no—
985#3318—591no—
986#3310—591no—
987#3306—591no—
988#3296—591no—
989#3294—591no—
990#3280—591no—
991D4×D8—591no—
992#3274—591no—
993#3273—591no—
994#3268—591no—
995#3264—591no—
996#3264—591no—
997#3264—591no—
998#3224—591no—
999#3220—591no—
1000#3199—591no—
1001#3198—591no—
1002#3194—591no—
1003#3191—591no—
1004#3122—591no—
1005#3118—591no—
1006#3012—591no—
1007#3008—591no—
1008#3003—591no—
1009C2×#447D5911yescharacteristic, complemented
1010#2976—591no—
1011C2×C59—22no—
1012C2×C59—42no—
1013C2×C59—42no—
1014C2×C59—41no—
1015C2×C59—41no—
1016C2×C59—81no—
1017C2×C59—81no—
1018C2×C59—81no—
1019C2×C59—81no—
1020C2×C59#348411yescharacteristic
1021C2×C59C2×#57611yescharacteristic
1022C2×C59#358511yescharacteristic
1023D59—41no—
1024D59—41no—
1025D59—81no—
1026D59—81no—
1027C2×H(5,𝔽2)—591no—
1028C23×D4C2×D5911yescharacteristic, complemented
1029C2×AGL(1,ℤ/8)—591no—
1030C2×AGL(1,ℤ/8)—591no—
1031C2×AGL(1,ℤ/8)—591no—
1032C2×AGL(1,ℤ/8)—591no—
1033C2×#135—591no—
1034C22×D8—591no—
1035C22×D8C2×D5911yescharacteristic, complemented
1036C22×D8C2×D5911yescharacteristic, complemented
1037#562—1181no—
1038#560—1181no—
1039#555—591no—
1040#553—591no—
1041#552—591no—
1042#551—1181no—
1043#550—591no—
1044#547—591no—
1045#546—591no—
1046#546—591no—
1047#546—591no—
1048#546—591no—
1049#546—591no—
1050#546—591no—
1051#546—1181no—
1052#546—1181no—
1053#546—1181no—
1054D42—591no—
1055D42—591no—
1056D42—591no—
1057D42—591no—
1058D42—591no—
1059D42—1181no—
1060D42—1181no—
1061#542—591no—
1062#540—591no—
1063#540—1181no—
1064#538—1181no—
1065#537—591no—
1066#535—591no—
1067#535—591no—
1068#535—591no—
1069#535—1181no—
1070#534—1181no—
1071#534—1181no—
1072#534—1181no—
1073#525—591no—
1074#525—591no—
1075#525—591no—
1076C2×#121C2×D5911yescharacteristic, complemented
1077C2×#120—1181no—
1078C2×#120—1181no—
1079#518—591no—
1080#496—591no—
1081#496—591no—
1082#495—591no—
1083#493—591no—
1084#490—591no—
1085#489—591no—
1086#488—591no—
1087#486—591no—
1088#485—591no—
1089#485—591no—
1090#483—591no—
1091#482—591no—
1092#482—591no—
1093#482—591no—
1094#482—591no—
1095#482—591no—
1096#482—591no—
1097#481—591no—
1098#480—591no—
1099#480—591no—
1100#478—591no—
1101#478—591no—
1102#476—591no—
1103#474—591no—
1104#469—591no—
1105#469—591no—
1106#469—591no—
1107#469—591no—
1108#469—591no—
1109#468—591no—
1110#468—591no—
1111#468—591no—
1112#467—591no—
1113#466—591no—
1114#466—591no—
1115#466—591no—
1116#466—591no—
1117#465—591no—
1118#465—591no—
1119#465—591no—
1120#464—591no—
1121#463—591no—
1122#463—591no—
1123#463—591no—
1124#463—591no—
1125#463—591no—
1126#460—591no—
1127#459—591no—
1128#459—591no—
1129#459—591no—
1130#459—591no—
1131#459—591no—
1132#452—591no—
1133#452—591no—
1134#452—591no—
1135#450—591no—
1136#450—591no—
1137#450—591no—
1138#450—591no—
1139#450—591no—
1140#450—591no—
1141#449—591no—
1142#449—591no—
1143#449—591no—
1144#449—591no—
1145#449—591no—
1146#449—591no—
1147#449—591no—
1148#449—591no—
1149#449—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#447—591no—
1159#447—591no—
1160#447C2×D5911yescharacteristic
1161#447C2×D5911yescharacteristic, complemented
1162#447C2×D5911yescharacteristic, complemented
1163#447C2×D5911yescharacteristic, complemented
1164#447C2×D5911yescharacteristic, complemented
1165#447C2×D5911yescharacteristic, complemented
1166#447C2×D5911yescharacteristic, complemented
1167#447C2×D5911yescharacteristic, complemented
1168#442—591no—
1169#442—591no—
1170#442—591no—
1171#440—591no—
1172C4×SD16—591no—
1173C4×D8—591no—
1174C4×D8—591no—
1175C4×D8—591no—
1176#436—591no—
1177#436—591no—
1178#435—591no—
1179#435—591no—
1180#435—591no—
1181#435—591no—
1182C8×D4—591no—
1183C8×D4—591no—
1184#433—591no—
1185#433—591no—
1186#418—591no—
1187#418—591no—
1188#418—591no—
1189#417—591no—
1190#416—591no—
1191C2×#102—591no—
1192C2×#102C2×D5911yescharacteristic, complemented
1193C2×#102C2×D5911yescharacteristic, complemented
1194#408—591no—
1195#408—591no—
1196#407—591no—
1197C2×C22⋊C8C2×D5911yescharacteristic, complemented
1198C59#6160911yescharacteristic, complemented, Sylow
1199C25—21no—
1200H(5,𝔽2)—2362no—
1201H(5,𝔽2)—2362no—
1202C2×#41—591no—
1203C2×#41—591no—
1204C2×#41—591no—
1205C2×#41—591no—
1206C2×#41—591no—
1207C2×#41—591no—
1208C2×#41—1181no—
1209C2×#41—1181no—
1210C22×D4—21no—
1211C22×D4—21no—
1212C22×D4—21no—
1213C22×D4—21no—
1214C22×D4—42no—
1215C22×D4—42no—
1216C22×D4—591no—
1217C22×D4—591no—
1218C22×D4—591no—
1219C22×D4—1181no—
1220C22×D4—1181no—
1221C22×D4—1181no—
1222C22×D4—1181no—
1223C22×D4—1181no—
1224C22×D4—1181no—
1225C22×D4—1181no—
1226C22×D4—1181no—
1227C22×D4C22×D5911yescharacteristic
1228C22×D4C22×D5911yescharacteristic
1229C22×D4C22×D5911yescharacteristic
1230C22×D4C22×D5911yescharacteristic
1231C22×D4C22×D5911yescharacteristic
1232C22×D4C22×D5911yescharacteristic
1233C22×D4C22×D5911yescharacteristic
1234C23×C4C22×D5911yescharacteristic
1235AGL(1,ℤ/8)—2362no—
1236AGL(1,ℤ/8)—2362no—
1237AGL(1,ℤ/8)—2362no—
1238AGL(1,ℤ/8)—2362no—
1239#135—2362no—
1240C2×Q16—591no—
1241C2×SD16—591no—
1242C2×SD16—591no—
1243C2×SD16—591no—
1244C2×SD16—591no—
1245C2×SD16—591no—
1246C2×SD16—591no—
1247C2×SD16—591no—
1248C2×SD16—591no—
1249C2×D8—42no—
1250C2×D8—42no—
1251C2×D8—591no—
1252C2×D8—591no—
1253C2×D8—591no—
1254C2×D8—591no—
1255C2×D8—591no—
1256C2×D8—591no—
1257C2×D8—591no—
1258C2×D8—2362no—
1259C2×D8C22×D5911yescharacteristic
1260C2×D8C22×D5911yescharacteristic
1261C2×D8C22×D5911yescharacteristic
1262C2×D8C22×D5911yescharacteristic
1263C2×D8C22×D5911yescharacteristic
1264C2×D8C22×D5911yescharacteristic
1265C2×D8C22×D5911yescharacteristic
1266C2×D8C22×D5911yescharacteristic
1267C2×M16—591no—
1268C2×M16—591no—
1269C2×M16—591no—
1270C2×M16—591no—
1271C22×C8—591no—
1272C22×C8—591no—
1273C22×C8C22×D5911yescharacteristic
1274C22×C8C22×D5911yescharacteristic
1275C4⋊Q8—591no—
1276#127—591no—
1277#127—591no—
1278#127—591no—
1279#127—1181no—
1280#127—1181no—
1281#127—1181no—
1282#126—1181no—
1283#126—1181no—
1284#126—1181no—
1285#125—591no—
1286#125—1181no—
1287#124—591no—
1288#124—591no—
1289#124—591no—
1290#124—1181no—
1291#124—1181no—
1292#124—1181no—
1293#124—1181no—
1294#124—1181no—
1295#123—591no—
1296#123—591no—
1297#123—1181no—
1298#123—1181no—
1299#123—1181no—
1300#123—1181no—
1301#123—1181no—
1302#123—1181no—
1303#123—1181no—
1304#123—1181no—
1305#123—1181no—
1306#123—1181no—
1307#123—1181no—
1308#123—1181no—
1309#123—1181no—
1310#123—1181no—
1311#123—1181no—
1312C22⋊Q8—591no—
1313C22⋊Q8—591no—
1314C22⋊Q8—591no—
1315C22⋊Q8—591no—
1316C22⋊Q8—591no—
1317C22⋊Q8—591no—
1318C22⋊Q8—591no—
1319C22⋊Q8—1181no—
1320C22⋊Q8—1181no—
1321C22⋊Q8—1181no—
1322#121—21no—
1323#121—21no—
1324#121—591no—
1325#121—591no—
1326#121—591no—
1327#121—591no—
1328#121—591no—
1329#121—591no—
1330#121—591no—
1331#121—591no—
1332#121—591no—
1333#121—591no—
1334#121—591no—
1335#121—591no—
1336#121—591no—
1337#121—1181no—
1338#121—1181no—
1339#121—1181no—
1340#121—1181no—
1341#121—1181no—
1342#121—1181no—
1343#121—1181no—
1344#121—1181no—
1345#121—1181no—
1346#121—1181no—
1347#121—1181no—
1348#121—1181no—
1349#121—1181no—
1350#121—1181no—
1351#121—1181no—
1352#121—1181no—
1353#121—1181no—
1354#121—1181no—
1355#121—1181no—
1356#121—1181no—
1357#121—1181no—
1358#121—1181no—
1359#121C22×D5911yescharacteristic
1360#121C22×D5911yescharacteristic
1361#121C22×D5911yescharacteristic
1362#121C22×D5911yescharacteristic
1363#120—591no—
1364#120—591no—
1365#120—1181no—
1366#120—1181no—
1367#120—1181no—
1368#120—1181no—
1369#120—1181no—
1370#120—1181no—
1371#120—1181no—
1372#120—1181no—
1373#120—1181no—
1374#120—1181no—
1375#120—1181no—
1376#120—1181no—
1377#120—1181no—
1378#120—1181no—
1379#120—1181no—
1380#120—1181no—
1381#120—1181no—
1382#120—1181no—
1383#120—1181no—
1384#120—1181no—
1385#120—1181no—
1386#120—1181no—
1387#120—1181no—
1388#120—1181no—
1389C4×Q8—591no—
1390C4×D4—591no—
1391C4×D4—591no—
1392C4×D4—591no—
1393C4×D4—591no—
1394C4×D4—591no—
1395C4×D4—591no—
1396C4×D4—591no—
1397C4×D4—591no—
1398C4×D4—591no—
1399C4×D4—591no—
1400C4×D4—591no—
1401C4×D4—1181no—
1402C4×D4—1181no—
1403C4×D4—1181no—
1404C4×D4—1181no—
1405C4×D4—1181no—
1406C4×D4—1181no—
1407C4×D4—1181no—
1408C4×D4—1181no—
1409#117—591no—
1410#117—591no—
1411#117—591no—
1412#117—591no—
1413#117—1181no—
1414#117—1181no—
1415C2×C4⋊C4—591no—
1416C2×C4⋊C4C22×D5911yescharacteristic
1417C2×C22⋊C4—21no—
1418C2×C22⋊C4—1181no—
1419C2×C22⋊C4—1181no—
1420C2×C22⋊C4—1181no—
1421C2×C22⋊C4—1181no—
1422C2×C22⋊C4—1181no—
1423C2×C22⋊C4—1181no—
1424C2×C22⋊C4—1181no—
1425C2×C22⋊C4—1181no—
1426#107—591no—
1427#107—591no—
1428#107—591no—
1429#107—591no—
1430#106—591no—
1431#106—591no—
1432#106—591no—
1433#106—591no—
1434C4⋊C8—591no—
1435C4⋊C8—591no—
1436C4⋊C8—591no—
1437C4⋊C8—591no—
1438#103—591no—
1439#103—591no—
1440#103—591no—
1441#103—591no—
1442#103—591no—
1443#103—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#102—591no—
1458#102—591no—
1459#102—591no—
1460#102—591no—
1461#102—591no—
1462#102C22×D5911yescharacteristic
1463#102C22×D5911yescharacteristic
1464#102C22×D5911yescharacteristic
1465#102C22×D5911yescharacteristic
1466#102C22×D5911yescharacteristic
1467#102C22×D5911yescharacteristic
1468#102C22×D5911yescharacteristic
1469#102C22×D5911yescharacteristic
1470C22⋊C8—591no—
1471C22⋊C8—591no—
1472C22⋊C8—591no—
1473C22⋊C8—591no—
1474C22⋊C8—591no—
1475C22⋊C8—591no—
1476C22⋊C8—591no—
1477C22⋊C8—591no—
1478C22⋊C8C22×D5911yescharacteristic
1479C22⋊C8C22×D5911yescharacteristic
1480C22⋊C8C22×D5911yescharacteristic
1481C22⋊C8C22×D5911yescharacteristic
1482#97—591no—
1483#97—591no—
1484C4×C8—591no—
1485C4×C8—591no—
1486C24—21no—
1487C24—21no—
1488C24—21no—
1489C24—21no—
1490C24—21no—
1491C24—21no—
1492C24—21no—
1493C24—44no—
1494C24—82no—
1495C24—82no—
1496C24—1181no—
1497C24—1181no—
1498C24—1181no—
1499C24D4×D5911yescharacteristic
1500#41—1182no—
1501#41—1182no—
1502#41—4722no—
1503#41—2361no—
1504#41—2361no—
1505#41—2361no—
1506#41—2361no—
1507#41—2361no—
1508#41—2361no—
1509#41—2361no—
1510#41—2361no—
1511#41—2361no—
1512#41—2361no—
1513#41—2364no—
1514C2×Q8—591no—
1515C2×Q8—591no—
1516C2×Q8—591no—
1517C2×Q8—1181no—
1518C2×D4—22no—
1519C2×D4—22no—
1520C2×D4—22no—
1521C2×D4—22no—
1522C2×D4—22no—
1523C2×D4—22no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—21no—
1528C2×D4—21no—
1529C2×D4—21no—
1530C2×D4—21no—
1531C2×D4—21no—
1532C2×D4—21no—
1533C2×D4—21no—
1534C2×D4—21no—
1535C2×D4—41no—
1536C2×D4—41no—
1537C2×D4—41no—
1538C2×D4—41no—
1539C2×D4—41no—
1540C2×D4—41no—
1541C2×D4—41no—
1542C2×D4—41no—
1543C2×D4—44no—
1544C2×D4—44no—
1545C2×D4—44no—
1546C2×D4—82no—
1547C2×D4—591no—
1548C2×D4—591no—
1549C2×D4—591no—
1550C2×D4—591no—
1551C2×D4—591no—
1552C2×D4—591no—
1553C2×D4—591no—
1554C2×D4—591no—
1555C2×D4—591no—
1556C2×D4—1181no—
1557C2×D4—1181no—
1558C2×D4—1181no—
1559C2×D4—1181no—
1560C2×D4—1181no—
1561C2×D4—1181no—
1562C2×D4—1181no—
1563C2×D4—1181no—
1564C2×D4—1181no—
1565C2×D4—1181no—
1566C2×D4—1182no—
1567C2×D4—1182no—
1568C2×D4—1181no—
1569C2×D4—1181no—
1570C2×D4—1181no—
1571C2×D4—1181no—
1572C2×D4—1181no—
1573C2×D4—1181no—
1574C2×D4—1181no—
1575C2×D4—1181no—
1576C2×D4—1181no—
1577C2×D4—1181no—
1578C2×D4—1181no—
1579C2×D4—1181no—
1580C2×D4—1181no—
1581C2×D4—1181no—
1582C2×D4—1181no—
1583C2×D4—4722no—
1584C2×D4—4722no—
1585C2×D4—4722no—
1586C2×D4—4722no—
1587C2×D4—4722no—
1588C2×D4—2361no—
1589C2×D4—2361no—
1590C2×D4—2361no—
1591C2×D4—2361no—
1592C2×D4—2364no—
1593C2×D4—2364no—
1594C2×D4—2364no—
1595C2×D4C23×D5911yescharacteristic
1596C2×D4C23×D5911yescharacteristic
1597C2×D4C23×D5911yescharacteristic
1598C2×D4C23×D5911yescharacteristic
1599C2×D4C23×D5911yescharacteristic
1600C2×D4C23×D5911yescharacteristic
1601C22×C4—21no—
1602C22×C4—41no—
1603C22×C4—41no—
1604C22×C4—591no—
1605C22×C4—591no—
1606C22×C4—1181no—
1607C22×C4—1181no—
1608C22×C4—1181no—
1609C22×C4—1181no—
1610C22×C4—1181no—
1611C22×C4—1181no—
1612C22×C4—1181no—
1613C22×C4—1181no—
1614C22×C4—1181no—
1615C22×C4—1181no—
1616C22×C4—1181no—
1617C22×C4—1181no—
1618C22×C4—1181no—
1619C22×C4D4×D5911yescharacteristic
1620C22×C4D4×D5911yescharacteristic
1621C22×C4D4×D5911yescharacteristic
1622C22×C4C23×D5911yescharacteristic
1623C22×C4C23×D5911yescharacteristic
1624C22×C4C23×D5911yescharacteristic
1625Q16—2361no—
1626SD16—1182no—
1627SD16—1182no—
1628SD16—2361no—
1629SD16—2361no—
1630SD16—2361no—
1631SD16—2361no—
1632SD16—2361no—
1633SD16—2361no—
1634D8—22no—
1635D8—22no—
1636D8—22no—
1637D8—22no—
1638D8—41no—
1639D8—41no—
1640D8—41no—
1641D8—41no—
1642D8—1182no—
1643D8—1182no—
1644D8—2361no—
1645D8—2361no—
1646D8—2361no—
1647D8—2361no—
1648D8—2361no—
1649M16—2361no—
1650M16—2361no—
1651M16—2361no—
1652M16—2361no—
1653C2×C8—41no—
1654C2×C8—41no—
1655C2×C8—591no—
1656C2×C8—591no—
1657C2×C8—591no—
1658C2×C8—591no—
1659C2×C8—2361no—
1660C2×C8—2361no—
1661C2×C8C23×D5911yescharacteristic
1662C2×C8C23×D5911yescharacteristic
1663C2×C8C23×D5911yescharacteristic
1664C2×C8C23×D5911yescharacteristic
1665C4⋊C4—21no—
1666C4⋊C4—591no—
1667C4⋊C4—591no—
1668C4⋊C4—591no—
1669C4⋊C4—591no—
1670C4⋊C4—591no—
1671C4⋊C4—591no—
1672C4⋊C4—591no—
1673C4⋊C4—591no—
1674C4⋊C4—591no—
1675C4⋊C4—591no—
1676C4⋊C4—1181no—
1677C4⋊C4—1181no—
1678C4⋊C4—1181no—
1679C4⋊C4—1181no—
1680C4⋊C4—1181no—
1681C4⋊C4—1181no—
1682C4⋊C4—1181no—
1683C4⋊C4—1181no—
1684C4⋊C4—1181no—
1685C4⋊C4—1181no—
1686C4⋊C4C23×D5911yescharacteristic
1687C4⋊C4C23×D5911yescharacteristic
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—591no—
1693C22⋊C4—591no—
1694C22⋊C4—591no—
1695C22⋊C4—591no—
1696C22⋊C4—591no—
1697C22⋊C4—591no—
1698C22⋊C4—591no—
1699C22⋊C4—591no—
1700C22⋊C4—591no—
1701C22⋊C4—591no—
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⋊C4—1181no—
1723C22⋊C4—1181no—
1724C22⋊C4—1181no—
1725C22⋊C4—1181no—
1726C22⋊C4—1181no—
1727C22⋊C4—1181no—
1728C22⋊C4—1181no—
1729C22⋊C4—1181no—
1730C22⋊C4—1181no—
1731C22⋊C4—1181no—
1732C22⋊C4—1181no—
1733C22⋊C4—1181no—
1734C42—591no—
1735C42—591no—
1736C42—1181no—
1737C42—1181no—
1738C42—1181no—
1739C42—1181no—
1740C23—24no—
1741C23—22no—
1742C23—21no—
1743C23—21no—
1744C23—21no—
1745C23—21no—
1746C23—21no—
1747C23—21no—
1748C23—41no—
1749C23—41no—
1750C23—42no—
1751C23—42no—
1752C23—42no—
1753C23—42no—
1754C23—42no—
1755C23—42no—
1756C23—42no—
1757C23—42no—
1758C23—42no—
1759C23—42no—
1760C23—81no—
1761C23—81no—
1762C23—81no—
1763C23—81no—
1764C23—81no—
1765C23—81no—
1766C23—81no—
1767C23—81no—
1768C23—81no—
1769C23—81no—
1770C23—816no—
1771C23—591no—
1772C23—591no—
1773C23—1181no—
1774C23—1181no—
1775C23—4721no—
1776C23—4721no—
1777C23—4721no—
1778C23—4721no—
1779C23—4721no—
1780C23—4721no—
1781C23—4721no—
1782C23—2362no—
1783C23—2362no—
1784C23C2×D4×D5911yescharacteristic
1785C23C2×D4×D5911yescharacteristic
1786C23C2×D4×D5911yescharacteristic
1787Q8—1181no—
1788Q8—1181no—
1789Q8—1181no—
1790Q8—1181no—
1791Q8—4721no—
1792Q8—2361no—
1793D4—24no—
1794D4—21no—
1795D4—21no—
1796D4—21no—
1797D4—21no—
1798D4—21no—
1799D4—21no—
1800D4—21no—
1801D4—21no—
1802D4—21no—
1803D4—21no—
1804D4—42no—
1805D4—42no—
1806D4—42no—
1807D4—42no—
1808D4—42no—
1809D4—81no—
1810D4—81no—
1811D4—81no—
1812D4—81no—
1813D4—81no—
1814D4—1182no—
1815D4—1182no—
1816D4—1181no—
1817D4—1181no—
1818D4—1181no—
1819D4—1181no—
1820D4—4721no—
1821D4—4721no—
1822D4—4721no—
1823D4—4721no—
1824D4—4721no—
1825D4—4721no—
1826D4—4721no—
1827D4—4721no—
1828D4—4721no—
1829D4—4721no—
1830D4—4721no—
1831D4—4721no—
1832D4—4721no—
1833D4—4721no—
1834D4—4721no—
1835D4—4721no—
1836D4—4721no—
1837D4—2361no—
1838D4—2361no—
1839D4—2361no—
1840D4—2361no—
1841D4—2361no—
1842D4—2362no—
1843D4—2362no—
1844D4—2362no—
1845D4—2362no—
1846D4—2362no—
1847D4—2362no—
1848D4—2362no—
1849D4—2362no—
1850D4#1427377212yes—
1851D4#1427377212yes—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—21no—
1860C2×C4—41no—
1861C2×C4—41no—
1862C2×C4—41no—
1863C2×C4—42no—
1864C2×C4—591no—
1865C2×C4—591no—
1866C2×C4—591no—
1867C2×C4—591no—
1868C2×C4—591no—
1869C2×C4—591no—
1870C2×C4—1181no—
1871C2×C4—1181no—
1872C2×C4—1181no—
1873C2×C4—1181no—
1874C2×C4—1181no—
1875C2×C4—1181no—
1876C2×C4—1181no—
1877C2×C4—1181no—
1878C2×C4—1181no—
1879C2×C4—1181no—
1880C2×C4—4721no—
1881C2×C4—4721no—
1882C2×C4—4721no—
1883C2×C4—4721no—
1884C2×C4—4721no—
1885C2×C4—4721no—
1886C2×C4—4721no—
1887C2×C4—4721no—
1888C2×C4—4721no—
1889C2×C4—4721no—
1890C2×C4—2362no—
1891C2×C4—2362no—
1892C2×C4—2362no—
1893C2×C4C2×D4×D5911yescharacteristic
1894C2×C4C2×D4×D5911yescharacteristic
1895C2×C4C2×D4×D5911yescharacteristic
1896C2×C4C24×D5911yescharacteristic
1897C8—21no—
1898C8—21no—
1899C8—21no—
1900C8—21no—
1901C8—1181no—
1902C8—1181no—
1903C8—1181no—
1904C8—1181no—
1905C22—21no—
1906C22—21no—
1907C22—21no—
1908C22—21no—
1909C22—22no—
1910C22—22no—
1911C22—21no—
1912C22—21no—
1913C22—21no—
1914C22—21no—
1915C22—44no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—41no—
1921C22—41no—
1922C22—41no—
1923C22—41no—
1924C22—41no—
1925C22—41no—
1926C22—41no—
1927C22—41no—
1928C22—41no—
1929C22—41no—
1930C22—41no—
1931C22—41no—
1932C22—84no—
1933C22—84no—
1934C22—84no—
1935C22—84no—
1936C22—84no—
1937C22—84no—
1938C22—162no—
1939C22—1181no—
1940C22—1181no—
1941C22—1181no—
1942C22—1181no—
1943C22—1181no—
1944C22—1181no—
1945C22—9442no—
1946C22—9442no—
1947C22—9442no—
1948C22—2361no—
1949C22—2361no—
1950C22—2361no—
1951C22—2361no—
1952C22—2361no—
1953C22—2361no—
1954C22#1683820312yes—
1955C22C22×D4×D5911yescharacteristic
1956C4—21no—
1957C4—21no—
1958C4—21no—
1959C4—41no—
1960C4—41no—
1961C4—1181no—
1962C4—1181no—
1963C4—1181no—
1964C4—1181no—
1965C4—1181no—
1966C4—1181no—
1967C4—2361no—
1968C4—2361no—
1969C4—2361no—
1970C4—2361no—
1971C4—2361no—
1972C4—2361no—
1973C4C2×#1427377211yescharacteristic
1974C4C2×#1427377211yescharacteristic
1975C2—22no—
1976C2—41no—
1977C2—41no—
1978C2—42no—
1979C2—42no—
1980C2—81no—
1981C2—81no—
1982C2—81no—
1983C2—81no—
1984C2—4721no—
1985C2—4721no—
1986C2—2361no—
1987C2—2361no—
1988C2#2143772511yescharacteristic
1989C2C2×#1683820311yescharacteristic
1990C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC2×C59×#447C2
socleC22×C59C23×D4
hypercenterC2×#447D59
hypocenterC59#61609
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#447

Complements

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

NH ≅ G/Ntype
1. #21438416C2semidirect
2. #21437731C2semidirect
3. #21436331C2semidirect
4. #21436301C2semidirect
5. #21436245C2semidirect
6. #21436230C2semidirect
7. #21436113C2semidirect
8. #21436053C2semidirect
9. #21435927C2semidirect
10. #21435905C2semidirect
11. #21435781C2semidirect
12. D8×C22⋊D59C2semidirect
13. #21435714C2semidirect
14. #21435707C2semidirect
15. #21435634C2semidirect
16. #21435576C2semidirect
17. #21435576C2semidirect
18. #21435574C2semidirect
19. #21435186C2semidirect
20. #21435142C2semidirect
21. #21434959C2semidirect
22. #21434944C2semidirect
23. #21434910C2semidirect
24. #21434889C2semidirect
25. #21434333C2semidirect
26. #21434273C2semidirect
27. #21433395C2semidirect
28. #21433359C2semidirect
29. #21433323C2semidirect
30. #21433141C2semidirect
31. C2×C59×#447C2semidirect
32. C2×#14273772C22semidirect
33. C2×#14273753C22semidirect
34. C2×#14273753C22semidirect
35. C2×#14273751C22semidirect
36. C2×#14273751C22semidirect
37. C2×#14273746C22semidirect
38. C2×D8×D59C22semidirect
41. #16838116C22semidirect
42. #16838099C22semidirect
43. #16838087C22semidirect
45. #16838070C22semidirect
46. #16838053C22semidirect
47. #16838049C22semidirect
51. #16838046C22semidirect
52. #16838046C22semidirect
53. #16838046C22semidirect
54. #16838046C22semidirect
59. D4×C22⋊D59C22semidirect
60. D4×C22⋊D59C22semidirect
61. D4×C22⋊D59C22semidirect
62. D4×C22⋊D59C22semidirect
63. #16838019C22semidirect
64. #16838005C22semidirect
67. #16837981C22semidirect
69. #16837969C22semidirect
70. #16837969C22semidirect
71. #16837968C22semidirect
76. #16837913C22semidirect
77. #16837913C22semidirect
80. #16837877C22semidirect
81. #16837790C22semidirect
82. #16837790C22semidirect
83. #16837785C22semidirect
84. #16837777C22semidirect
85. #16837765C22semidirect
86. #16837760C22semidirect
87. #16837755C22semidirect
88. #16837747C22semidirect
89. #16837744C22semidirect
90. #16837744C22semidirect
91. #16837732C22semidirect
92. #16837727C22semidirect
93. #16837727C22semidirect
94. #16837725C22semidirect
95. #16837724C22semidirect
96. #16837723C22semidirect
97. #16837723C22semidirect
98. #16837719C22semidirect
99. #16837715C22semidirect
100. #16837714C22semidirect
101. #16837704C22semidirect
102. #16837700C22semidirect
103. #16837690C22semidirect
104. #16837680C22semidirect
105. #16837654C22semidirect
106. #16837653C22semidirect
107. #16837653C22semidirect
108. #16837652C22semidirect
109. #16837652C22semidirect
110. #16837647C22semidirect
111. #16837646C22semidirect
112. #16837646C22semidirect
113. #16837643C22semidirect
114. #16837638C22semidirect
115. #16837637C22semidirect
116. #16837635C22semidirect
117. #16837635C22semidirect
118. #16837631C22semidirect
119. #16837631C22semidirect
120. #16837630C22semidirect
121. #16837623C22semidirect
122. #16837616C22semidirect
123. #16837615C22semidirect
124. #16837615C22semidirect
125. #16837615C22semidirect
126. #16837615C22semidirect
127. #16837601C22semidirect
128. #16837596C22semidirect
129. #16837595C22semidirect
130. #16837595C22semidirect
131. #16837595C22semidirect
132. #16837595C22semidirect
133. #16837566C22semidirect
134. #16837566C22semidirect
135. #16837565C22semidirect
136. #16837554C22semidirect
137. #16837553C22semidirect
138. #16837553C22semidirect
139. #16837553C22semidirect
140. #16837553C22semidirect
141. #16837553C22semidirect
142. #16837549C22semidirect
143. #16837549C22semidirect
144. #16837548C22semidirect
145. #16837545C22semidirect
146. #16837545C22semidirect
147. #16837544C22semidirect
148. #16837544C22semidirect
149. #16837544C22semidirect
150. #16837544C22semidirect
151. #16837537C22semidirect
152. #16837536C22semidirect
153. #16837536C22semidirect
154. #16837536C22semidirect
155. #16837536C22semidirect
156. #16837536C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. #16837534C22semidirect
161. #16837514C22semidirect
162. #16837514C22semidirect
163. #16837511C22semidirect
164. #16837499C22semidirect
165. #16837493C22semidirect
166. D8×Dic59C22semidirect
167. D8×Dic59C22semidirect
168. #16837482C22semidirect
169. #16837477C22semidirect
170. #16837477C22semidirect
171. #16837476C22semidirect
172. #16837476C22semidirect
173. #16837473C22semidirect
174. #16837473C22semidirect
175. C8×C22⋊D59C22semidirect
176. C8×C22⋊D59C22semidirect
177. #16837460C22semidirect
178. #16837460C22semidirect
179. #16837407C22semidirect
180. #16837407C22semidirect
181. #16837405C22semidirect
182. #16837400C22semidirect
183. #16837395C22semidirect
184. #102×D59C22semidirect
185. #16837367C22semidirect
186. #16837367C22semidirect
187. #16837366C22semidirect
188. C23×D4×C59C22semidirect
189. C22×D8×C59C22semidirect
190. C22×D8×C59C22semidirect
191. C2×#121×C59C22semidirect
193. C59×#447C22semidirect
194. C59×#447C22semidirect
195. C59×#447C22semidirect
196. C59×#447C22semidirect
197. C59×#447C22semidirect
198. C59×#447C22semidirect
199. C59×#447C22semidirect
200. C2×#102×C59C22semidirect
201. C2×#102×C59C22semidirect
202. C2×C22⋊C8×C59C22semidirect
212. C2×#11745687C23semidirect
223. C2×D4×D59C23semidirect
229. C2×Dic236C23semidirect
230. C2×#11745660C23semidirect
231. C2×#11745660C23semidirect
236. C2×#11745670C23semidirect
237. C2×#11745670C23semidirect
238. C2×D472C23semidirect
243. C2×#11745669C23semidirect
244. C2×#11745669C23semidirect
248. C2×#11745659C23semidirect
249. C2×#11745659C23semidirect
250. C2×C8×D59C23semidirect
251. C2×C8×D59C23semidirect
252. #14273726C23semidirect
258. #14273723C23semidirect
262. #14273718C23semidirect
269. #14273714C23semidirect
289. #14273707C23semidirect
299. #14273702C23semidirect
332. #14273698C23semidirect
333. #14273698C23semidirect
360. #14273692C23semidirect
367. D4×Dic59C23semidirect
368. D4×Dic59C23semidirect
369. #14273689C23semidirect
384. #14273685C23semidirect
386. C4⋊C4×D59C23semidirect
395. #14273661C23semidirect
396. #14273661C23semidirect
397. #14273660C23semidirect
398. #14273660C23semidirect
399. #14273659C23semidirect
400. #14273659C23semidirect
401. #14273658C23semidirect
402. #14273658C23semidirect
403. Dic59⋊C8C23semidirect
404. Dic59⋊C8C23semidirect
405. Dic59⋊C8C23semidirect
406. Dic59⋊C8C23semidirect
407. #14273652C23semidirect
408. #14273652C23semidirect
409. #14273652C23semidirect
410. #14273652C23semidirect
411. #14273650C23semidirect
412. #14273650C23semidirect
413. #14273649C23semidirect
414. #14273649C23semidirect
415. #14273649C23semidirect
416. #14273649C23semidirect
425. #14273648C23semidirect
426. #14273648C23semidirect
427. #14273648C23semidirect
428. #14273648C23semidirect
429. #14273647C23semidirect
430. #14273647C23semidirect
435. (C2×D59)⋊C8C23semidirect
436. (C2×D59)⋊C8C23semidirect
437. (C2×D59)⋊C8C23semidirect
438. (C2×D59)⋊C8C23semidirect
439. #14273637C23semidirect
440. #14273637C23semidirect
441. C8×Dic59C23semidirect
442. C8×Dic59C23semidirect
1009. C2×#447D59semidirect
1028. C23×D4C2×D59semidirect
1035. C22×D8C2×D59semidirect
1036. C22×D8C2×D59semidirect
1076. C2×#121C2×D59semidirect
1161. #447C2×D59semidirect
1162. #447C2×D59semidirect
1163. #447C2×D59semidirect
1164. #447C2×D59semidirect
1165. #447C2×D59semidirect
1166. #447C2×D59semidirect
1167. #447C2×D59semidirect
1192. C2×#102C2×D59semidirect
1193. C2×#102C2×D59semidirect
1197. C2×C22⋊C8C2×D59semidirect
1198. C59#61609semidirect

Maximal subgroups

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

subgroupindex
#214384162
#214377312
#214363312
#214363012
#214362452
#214362302
#214361132
#214360532
#214359272
#214359052
#214357812
D8×C22⋊D592
#214357142
#214357072
#214356342
#214355762
#214355742
#214351862
#214351422
#214349592
#214349442
#214349102
#214348892
#214343332
#214342732
#214333952
#214333592
#214333232
#214331412
C2×C59×#4472
#6160959