Finite Group Databasebeta

← #29474041

Subgroups — #29474041

Order 15104.

2568 conjugacy classes of subgroups.

The subgroup lattice has 2020 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438142C211yesmaximal, characteristic, complemented
2D42×D59C211yesmaximal, characteristic, complemented
3#21436325C211yesmaximal, characteristic, complemented
4#21436323C211yesmaximal, characteristic, complemented
5#21436116C211yesmaximal, characteristic, complemented
6#21436114C211yesmaximal, characteristic, complemented
7#21436111C211yesmaximal, characteristic, complemented
8#21435907C211yesmaximal, characteristic, complemented
9#21435905C211yesmaximal, characteristic, complemented
10#21435790C211yesmaximal, characteristic, complemented
11#21435789C211yesmaximal, characteristic, complemented
12#21435694C211yesmaximal, characteristic, complemented
13#21435693C211yesmaximal, characteristic, complemented
14#21435596C211yesmaximal, characteristic, complemented
15#21435593C211yesmaximal, characteristic, complemented
16#21435587C211yesmaximal, characteristic, complemented
17#21435586C211yesmaximal, characteristic, complemented
18#21435115C211yesmaximal, characteristic, complemented
19#21435036C211yesmaximal, characteristic, complemented
20#21434904C211yesmaximal, characteristic, complemented
21#21434897C211yesmaximal, characteristic, complemented
22#21434865C211yesmaximal, characteristic, complemented
23#21434862C211yesmaximal, characteristic, complemented
24#21434193C211yesmaximal, characteristic, complemented
25#21434148C211yesmaximal, characteristic, complemented
26#21433325C211yesmaximal, characteristic, complemented
27#21433324C211yesmaximal, characteristic, complemented
28C2×#16837554C211yesmaximal, characteristic, complemented
29#450×D59C211yesmaximal, characteristic, complemented
30#21433126C211yesmaximal, characteristic, complemented
31C59×#3310C211yesmaximal, characteristic, complemented
32C22×D4×D59—21no—
33C22×D4×D59C2211yescharacteristic
34C22×D4×D59C2211yescharacteristic
35C2×#14273755C2211yescharacteristic, complemented
36C2×#14273754C2211yescharacteristic, complemented
37C2×#14273754C2211yescharacteristic, complemented
38C2×#14273753C2211yescharacteristic, complemented
39C22×#11745660C2211yescharacteristic, complemented
40C22×#11745670C2211yescharacteristic, complemented
41C2×SD16×D59C2211yescharacteristic, complemented
42C2×SD16×D59C2211yescharacteristic, complemented
43#16838120C2211yescharacteristic, complemented
44#16838108—21no—
45#16838090C2211yescharacteristic, complemented
46#16838077—21no—
47#16838076—21no—
48#16838065C2211yescharacteristic, complemented
49#16838064C2211yescharacteristic, complemented
50#16838061C2211yescharacteristic, complemented
51#16838054C2211yescharacteristic, complemented
52#16838053C2211yescharacteristic, complemented
53#16838044—21no—
54D4×D236C2211yescharacteristic
55D4×D236C2211yescharacteristic
56#16838037C2211yescharacteristic
57#16838036—21no—
58#16838036C2211yescharacteristic
59#16838036C2211yescharacteristic
60D4×C22⋊D59—21no—
61D4×C22⋊D59C2211yescharacteristic
62D4×C22⋊D59C2211yescharacteristic
63#16838034—21no—
64#16838034—21no—
65#16838018—21no—
66#16838000—21no—
67#16837996—21no—
68#16837956C2211yescharacteristic, complemented
69#127×D59C2211yescharacteristic
70#16837937C2211yescharacteristic, complemented
71#16837915C2211yescharacteristic, complemented
72#16837914C2211yescharacteristic, complemented
73C2×#14273707C2211yescharacteristic, complemented
74C22⋊Q8×D59C2211yescharacteristic, complemented
75#121×D59—21no—
76#121×D59C2211yescharacteristic
77#121×D59C2211yescharacteristic
78#120×D59—21no—
79#120×D59—21no—
80#16837882—21no—
81C4×D4×D59C2211yescharacteristic
82C4×D4×D59C2211yescharacteristic
83#16837791C2211yescharacteristic, complemented
84#16837789C2211yescharacteristic, complemented
85#16837773C2211yescharacteristic, complemented
86#16837773C2211yescharacteristic, complemented
87#16837768C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic, complemented
90#16837739C2211yescharacteristic, complemented
91#16837739C2211yescharacteristic, complemented
92#16837736C2211yescharacteristic, complemented
93#16837728C2211yescharacteristic, complemented
94#16837726C2211yescharacteristic, complemented
95#16837724C2211yescharacteristic, complemented
96#16837722C2211yescharacteristic, complemented
97#16837717C2211yescharacteristic, complemented
98#16837715C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837699C2211yescharacteristic, complemented
101#16837681C2211yescharacteristic, complemented
102#16837680C2211yescharacteristic, complemented
103#16837650C2211yescharacteristic, complemented
104#16837649C2211yescharacteristic, complemented
105#16837649C2211yescharacteristic, complemented
106#16837648C2211yescharacteristic, complemented
107#16837647C2211yescharacteristic, complemented
108#16837647C2211yescharacteristic, complemented
109#16837646C2211yescharacteristic, complemented
110#16837639C2211yescharacteristic, complemented
111#16837638C2211yescharacteristic, complemented
112#16837637C2211yescharacteristic, complemented
113#16837636C2211yescharacteristic, complemented
114#16837633C2211yescharacteristic, complemented
115#16837632C2211yescharacteristic, complemented
116#16837630C2211yescharacteristic, complemented
117#16837618C2211yescharacteristic, complemented
118#16837617C2211yescharacteristic, complemented
119#16837606C2211yescharacteristic, complemented
120#16837605C2211yescharacteristic, complemented
121#16837603C2211yescharacteristic, complemented
122#16837602C2211yescharacteristic, complemented
123#16837601C2211yescharacteristic, complemented
124#16837601C2211yescharacteristic, complemented
125#16837599C2211yescharacteristic, complemented
126#16837596C2211yescharacteristic, complemented
127#16837596C2211yescharacteristic, complemented
128#16837555C2211yescharacteristic, complemented
129#16837554C2211yescharacteristic
130#16837554C2211yescharacteristic
131#16837554C2211yescharacteristic, complemented
132#16837554C2211yescharacteristic, complemented
133#16837554C2211yescharacteristic, complemented
134#16837554C2211yescharacteristic, complemented
135#16837554C2211yescharacteristic, complemented
136#16837554C2211yescharacteristic, complemented
137#16837554C2211yescharacteristic, complemented
138#16837554C2211yescharacteristic, complemented
139#16837554C2211yescharacteristic, complemented
140#16837554C2211yescharacteristic, complemented
141#16837553C2211yescharacteristic, complemented
142#16837552C2211yescharacteristic, complemented
143#16837552C2211yescharacteristic, complemented
144#16837551C2211yescharacteristic
145#16837551C2211yescharacteristic, complemented
146#16837551C2211yescharacteristic, complemented
147#16837550C2211yescharacteristic, complemented
148#16837549C2211yescharacteristic, complemented
149#16837546C2211yescharacteristic, complemented
150#16837545C2211yescharacteristic, complemented
151#16837543C2211yescharacteristic, complemented
152#16837542C2211yescharacteristic, complemented
153#16837540C2211yescharacteristic, complemented
154#16837539C2211yescharacteristic, complemented
155#16837538C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic
157#16837537C2211yescharacteristic, complemented
158#16837537C2211yescharacteristic, complemented
159#16837537C2211yescharacteristic, complemented
160#16837537C2211yescharacteristic, complemented
161#16837536C2211yescharacteristic, complemented
162#16837504C2211yescharacteristic, complemented
163#16837502C2211yescharacteristic, complemented
164#16837500C2211yescharacteristic, complemented
165#16837493C2211yescharacteristic, complemented
166#16837489C2211yescharacteristic, complemented
167#16837484C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic, complemented
169#16837478C2211yescharacteristic, complemented
170#16837477C2211yescharacteristic, complemented
171#16837475C2211yescharacteristic, complemented
172#16837474C2211yescharacteristic, complemented
173#16837472C2211yescharacteristic, complemented
174C8×C22⋊D59C2211yescharacteristic, complemented
175(C22⋊D59)⋊C8C2211yescharacteristic, complemented
176#16837457C2211yescharacteristic, complemented
177#16837454C2211yescharacteristic, complemented
178#16837406C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic, complemented
180#16837405C2211yescharacteristic, complemented
181C2×#14273647C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837365C2211yescharacteristic, complemented
185#16837364C2211yescharacteristic, complemented
186C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C59×#552C2211yescharacteristic, complemented
189D42×C59C2211yescharacteristic
190C59×#490C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203C24×D59—21no—
204C24×D59—21no—
205C2×#11745689C2311yescharacteristic, complemented
206C2×#11745685—21no—
207C2×#11745685C2311yescharacteristic, complemented
208C22×Dic118C2311yescharacteristic, complemented
209C2×Q8×D59C2311yescharacteristic, complemented
210C22×D236—21no—
211C22×D236C2311yescharacteristic
212C22×D236C2311yescharacteristic
213C22×C22⋊D59—21no—
214C22×C22⋊D59—21no—
215C22×C22⋊D59—21no—
216C22×C22⋊D59—21no—
217C2×D4×D59—21no—
218C2×D4×D59—21no—
219C2×D4×D59—21no—
220C2×D4×D59—21no—
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59—42no—
230C2×D4×D59—42no—
231C2×D4×D59—42no—
232C2×D4×D59—42no—
233C2×D4×D59—48no—
234C2×D4×D59D411yescharacteristic
235C2×D4×D59C2311yescharacteristic
236C2×D4×D59C2311yescharacteristic
237C2×D4×D59C2311yescharacteristic
238C2×D4×D59C2311yescharacteristic
239C2×D4×D59C2311yescharacteristic
240C2×D4×D59C2311yescharacteristic
241C2×D4×D59C2311yescharacteristic
242C22×C4×D59—21no—
243C22×C4×D59C2311yescharacteristic
244C22×C4×D59C2311yescharacteristic
245#14273755—42no—
246#14273754—42no—
247#14273754—42no—
248#14273753—42no—
249C2×#11745660—42no—
250C2×#11745660C2311yescharacteristic
251C2×#11745660C2311yescharacteristic
252C2×#11745660C2311yescharacteristic, complemented
253C2×#11745660C2311yescharacteristic, complemented
254C2×#11745660C2311yescharacteristic, complemented
255C2×#11745660C2311yescharacteristic, complemented
256C2×#11745670—42no—
257C2×#11745670C2311yescharacteristic
258C2×#11745670C2311yescharacteristic
259C2×#11745670C2311yescharacteristic, complemented
260C2×#11745670C2311yescharacteristic, complemented
261C2×#11745670C2311yescharacteristic, complemented
262C2×#11745670C2311yescharacteristic, complemented
263C2×#11745671C2311yescharacteristic
264C2×#11745671C2311yescharacteristic, complemented
265C2×#11745671C2311yescharacteristic, complemented
266SD16×D59—42no—
267SD16×D59—42no—
268C2×D472C2311yescharacteristic
269C2×D472C2311yescharacteristic, complemented
270C2×D472C2311yescharacteristic, complemented
271C2×#11745669C2311yescharacteristic
272C2×#11745669C2311yescharacteristic, complemented
273C2×#11745669C2311yescharacteristic, complemented
274C2×#11745664C2311yescharacteristic, complemented
275C2×#11745659C2311yescharacteristic, complemented
276C2×#11745659C2311yescharacteristic, complemented
277C22×C59⋊C8C2311yescharacteristic, complemented
278C2×C8×D59C2311yescharacteristic, complemented
279C2×C8×D59C2311yescharacteristic, complemented
280#14273726—21no—
281#14273726C2311yescharacteristic, complemented
282#14273725C2311yescharacteristic, complemented
283#14273724C2311yescharacteristic
284#14273723—21no—
285#14273723—21no—
286#14273723C2311yescharacteristic
287#14273723C2311yescharacteristic
288#14273722—21no—
289#14273722—21no—
290#14273721—21no—
291#14273720—21no—
292#14273718—21no—
293#14273717—21no—
294#14273715—21no—
295#14273715C2311yescharacteristic, complemented
296#14273713—21no—
297#14273713—21no—
298#14273712—21no—
299#14273712—21no—
300#14273712—21no—
301#14273712—21no—
302#14273712—21no—
303#14273711—21no—
304#14273710—21no—
305#14273709—21no—
306#14273707—21no—
307#14273707—21no—
308#14273707—21no—
309#14273707C2311yescharacteristic
310#14273707C2311yescharacteristic
311#14273707C2311yescharacteristic, complemented
312#14273707C2311yescharacteristic, complemented
313#14273707C2311yescharacteristic, complemented
314#14273706C2311yescharacteristic, complemented
315#14273705—21no—
316#14273705—21no—
317#14273705—21no—
318#14273705—21no—
319#14273705—21no—
320#14273704—21no—
321#14273704—21no—
322#14273703C2311yescharacteristic
323#14273702—21no—
324#14273702—21no—
325#14273702C2311yescharacteristic
326#14273702C2311yescharacteristic
327#14273702C2311yescharacteristic
328#14273702C2311yescharacteristic, complemented
329#14273701—21no—
330#14273701C2311yescharacteristic
331#14273701C2311yescharacteristic
332#14273701C2311yescharacteristic, complemented
333#14273700—21no—
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273700—21no—
338#14273699—21no—
339#14273699—21no—
340#14273699—21no—
341#14273699—21no—
342#14273699—21no—
343#14273698—21no—
344#14273698C2311yescharacteristic
345#14273698C2311yescharacteristic
346#14273697—21no—
347#14273697—21no—
348#14273697—21no—
349#14273697—21no—
350#14273697—21no—
351#14273697—21no—
352#14273697—21no—
353#14273697—21no—
354#14273696—21no—
355#14273696—21no—
356#14273695—21no—
357#14273695—21no—
358#14273695—21no—
359#14273695—21no—
360#14273695—21no—
361#14273695—21no—
362C4×Dic118—21no—
363C4×Dic118—21no—
364C4×Dic118C2311yescharacteristic, complemented
365#14273692C2311yescharacteristic, complemented
366C4×D236—21no—
367C4×D236—21no—
368C4×D236—21no—
369C4×D236C2311yescharacteristic
370C4×D236C2311yescharacteristic
371D4×Dic59D411yescharacteristic
372D4×Dic59C2311yescharacteristic
373#14273689—21no—
374#14273689—21no—
375#14273689D411yescharacteristic
376#14273689C2311yescharacteristic
377#14273689C2311yescharacteristic, complemented
378C4×C22⋊D59—21no—
379C4×C22⋊D59C2311yescharacteristic
380C4×C22⋊D59C2311yescharacteristic
381(C22⋊D59)⋊C4—21no—
382(C22⋊D59)⋊C4—21no—
383(C22⋊D59)⋊C4—21no—
384(C22⋊D59)⋊C4—21no—
385(C22⋊D59)⋊C4D411yescharacteristic
386(C22⋊D59)⋊C4D411yescharacteristic
387#14273685—21no—
388#14273685—21no—
389#14273685C2311yescharacteristic, complemented
390#14273684—21no—
391C2×C4⋊Dic59—21no—
392C4⋊C4×D59—21no—
393C4⋊C4×D59—21no—
394C4⋊C4×D59D411yescharacteristic
395C4⋊C4×D59C2311yescharacteristic
396C4⋊C4×D59C2311yescharacteristic, complemented
397C2×(C2×D59)⋊C4—21no—
398C22⋊C4×D59—21no—
399C22⋊C4×D59—21no—
400C22⋊C4×D59—21no—
401C22⋊C4×D59—21no—
402C22⋊C4×D59D411yescharacteristic
403C22⋊C4×D59D411yescharacteristic
404C42×D59C2311yescharacteristic
405#14273661C2311yescharacteristic, complemented
406#14273660C2311yescharacteristic, complemented
407#14273660C2311yescharacteristic, complemented
408#14273660C2311yescharacteristic, complemented
409#14273658C2311yescharacteristic, complemented
410C4⋊(C59⋊C8)C2311yescharacteristic, complemented
411Dic59⋊C8C2311yescharacteristic, complemented
412Dic59⋊C8C2311yescharacteristic, complemented
413#14273652C2311yescharacteristic, complemented
414#14273652C2311yescharacteristic, complemented
415#14273651C2311yescharacteristic, complemented
416#14273650C2311yescharacteristic, complemented
417#14273650C2311yescharacteristic, complemented
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic, complemented
420#14273649C2311yescharacteristic, complemented
421#14273649C2311yescharacteristic, complemented
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic, complemented
424#14273648C2311yescharacteristic, complemented
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic, complemented
429#14273647C2311yescharacteristic, complemented
430#14273647C2311yescharacteristic, complemented
431#14273647C2311yescharacteristic, complemented
432#14273647C2311yescharacteristic, complemented
433#14273647C2311yescharacteristic, complemented
434#14273647C2311yescharacteristic, complemented
435C22⋊(C59⋊C8)C2311yescharacteristic, complemented
436C22⋊(C59⋊C8)C2311yescharacteristic, complemented
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic, complemented
442(C2×D59)⋊C8C2311yescharacteristic, complemented
443(C2×D59)⋊C8C2311yescharacteristic, complemented
444(C2×D59)⋊C8C2311yescharacteristic, complemented
445#14273638C2311yescharacteristic, complemented
446C8×Dic59C2311yescharacteristic, complemented
447C8×Dic59C2311yescharacteristic, complemented
448C22×D4×C59—21no—
449C22×D4×C59C2311yescharacteristic
450C22×D4×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic, complemented
453C2×SD16×C59C2311yescharacteristic, complemented
454C2×M16×C59C2311yescharacteristic, complemented
455C22×C8×C59C2311yescharacteristic, complemented
456#127×C59C2311yescharacteristic
457#126×C59—21no—
458#125×C59—21no—
459#125×C59C2311yescharacteristic, complemented
460#123×C59—21no—
461C22⋊Q8×C59C2311yescharacteristic, complemented
462C22⋊Q8×C59C2311yescharacteristic, complemented
463#121×C59—21no—
464#121×C59C2311yescharacteristic
465#121×C59C2311yescharacteristic
466#120×C59—21no—
467#120×C59—21no—
468C4×Q8×C59C2311yescharacteristic, complemented
469C4×D4×C59C2311yescharacteristic
470C4×D4×C59C2311yescharacteristic
471#117×C59—21no—
472#117×C59C2311yescharacteristic, complemented
473C2×C4⋊C4×C59C2311yescharacteristic, complemented
474#107×C59C2311yescharacteristic, complemented
475#107×C59C2311yescharacteristic, complemented
476#106×C59C2311yescharacteristic, complemented
477C4⋊C8×C59C2311yescharacteristic, complemented
478#103×C59C2311yescharacteristic, complemented
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic, complemented
483#102×C59C2311yescharacteristic, complemented
484#102×C59C2311yescharacteristic, complemented
485#102×C59C2311yescharacteristic, complemented
486#102×C59C2311yescharacteristic, complemented
487#102×C59C2311yescharacteristic, complemented
488C22⋊C8×C59C2311yescharacteristic, complemented
489C22⋊C8×C59C2311yescharacteristic, complemented
490#97×C59C2311yescharacteristic, complemented
491C24×C59—21no—
492C24×C59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496C23×D59—21no—
497C23×D59—21no—
498C23×D59—21no—
499C23×D59—21no—
500C23×D59—21no—
501C23×D59—21no—
502C23×D59—44no—
503C23×D59—44no—
504C23×D59—44no—
505C23×D59—44no—
506C23×D59—82no—
507C23×D59—82no—
508C23×D59C2×D411yescharacteristic
509C23×D59C2×D411yescharacteristic
510C2×Q8×C59C2411yescharacteristic
511C2×D4×C59—22no—
512C2×D4×C59—22no—
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—41no—
520C2×D4×C59—41no—
521C2×D4×C59—44no—
522C2×D4×C59C2×D411yescharacteristic
523C2×D4×C59C2411yescharacteristic
524C2×D4×C59C2411yescharacteristic
525C2×D4×C59C2411yescharacteristic
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—44no—
548C2×C22⋊D59—44no—
549C2×C22⋊D59—44no—
550C2×C22⋊D59—44no—
551C2×C22⋊D59C2×D411yescharacteristic
552C2×C22⋊D59C2×D411yescharacteristic
553C22×Dic59—21no—
554C22×Dic59—21no—
555C22×Dic59C2×D411yescharacteristic
556C22×Dic59C2×D411yescharacteristic
557#11745689—41no—
558#11745689—41no—
559Q8×D59—41no—
560Q8×D59—41no—
561D4×D59—22no—
562D4×D59—24no—
563D4×D59—22no—
564D4×D59—22no—
565D4×D59—22no—
566D4×D59—22no—
567D4×D59—22no—
568D4×D59—41no—
569D4×D59—41no—
570D4×D59—41no—
571D4×D59—41no—
572D4×D59—41no—
573D4×D59—41no—
574D4×D59—41no—
575D4×D59—41no—
576D4×D59—44no—
577D4×D59—44no—
578D4×D59—44no—
579D4×D59—44no—
580D4×D59—44no—
581D4×D59—44no—
582D4×D59—44no—
583D4×D59—44no—
584D4×D59—44no—
585D4×D59—44no—
586D4×D59—44no—
587D4×D59—82no—
588#11745685—41no—
589#11745685—41no—
590#11745685—44no—
591C2×D236—22no—
592C2×D236—22no—
593C2×D236—21no—
594C2×D236—21no—
595C2×D236—21no—
596C2×D236—21no—
597C2×D236—21no—
598C2×D236—21no—
599C2×D236—21no—
600C2×D236—21no—
601C2×D236—21no—
602C2×D236—41no—
603C2×D236—41no—
604C2×D236—44no—
605C2×D236C2×D411yescharacteristic
606C2×D236C2411yescharacteristic
607C2×D236C2411yescharacteristic
608C2×D236C2411yescharacteristic
609C2×D236C2411yescharacteristic
610C2×C4×D59—21no—
611C2×C4×D59—21no—
612C2×C4×D59—21no—
613C2×C4×D59—21no—
614C2×C4×D59—21no—
615C2×C4×D59—21no—
616C2×C4×D59—21no—
617C2×C4×D59—21no—
618C2×C4×D59—41no—
619C2×C4×D59—41no—
620C2×C4×D59—41no—
621C2×C4×D59—41no—
622C2×C4×D59—44no—
623C2×C4×D59C2×D411yescharacteristic
624C2×C4×D59C2×D411yescharacteristic
625C2×C4×D59C2×D411yescharacteristic
626C2×C4×D59C2×D411yescharacteristic
627C2×C4×D59C2×D411yescharacteristic
628C2×C4×D59C2×D411yescharacteristic
629C2×C4×D59C2411yescharacteristic
630C2×C4×D59C2411yescharacteristic
631C2×C4×D59C2411yescharacteristic
632C2×Dic118—21no—
633C2×Dic118—21no—
634C2×Dic118—21no—
635C2×Dic118—41no—
636C2×Dic118—41no—
637C2×Dic118C2411yescharacteristic
638C2×Dic118C2411yescharacteristic
639SD16×C59—22no—
640SD16×C59—41no—
641SD16×C59—41no—
642M16×C59—41no—
643C2×C8×C59—41no—
644C2×C8×C59C2411yescharacteristic
645C2×C8×C59C2411yescharacteristic
646C2×C8×C59C2411yescharacteristic
647C2×C8×C59C2411yescharacteristic
648C4⋊C4×C59—21no—
649C4⋊C4×C59—21no—
650C4⋊C4×C59—21no—
651C4⋊C4×C59—21no—
652C4⋊C4×C59—21no—
653C4⋊C4×C59—21no—
654C4⋊C4×C59C2×D411yescharacteristic
655C4⋊C4×C59C2411yescharacteristic
656C4⋊C4×C59C2411yescharacteristic
657C4⋊C4×C59C2411yescharacteristic
658C4⋊C4×C59C2411yescharacteristic
659C22⋊C4×C59—21no—
660C22⋊C4×C59—21no—
661C22⋊C4×C59—21no—
662C22⋊C4×C59—21no—
663C22⋊C4×C59—21no—
664C22⋊C4×C59—21no—
665C22⋊C4×C59C2×D411yescharacteristic
666C22⋊C4×C59C2×D411yescharacteristic
667C42×C59—21no—
668C42×C59—21no—
669C42×C59C2411yescharacteristic
670C22⋊Dic59—21no—
671C22⋊Dic59—21no—
672C22⋊Dic59—21no—
673C22⋊Dic59—21no—
674C22⋊Dic59C2×D411yescharacteristic
675C22⋊Dic59C2×D411yescharacteristic
676#11745671—22no—
677#11745671—41no—
678#11745671—41no—
679#11745670—22no—
680#11745670—22no—
681#11745670—41no—
682#11745670—41no—
683#11745670—41no—
684#11745670—41no—
685#11745669—22no—
686#11745669—41no—
687#11745669—41no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4—21no—
693(C2×D59)⋊C4—21no—
694(C2×D59)⋊C4—21no—
695(C2×D59)⋊C4—21no—
696(C2×D59)⋊C4—21no—
697(C2×D59)⋊C4—21no—
698(C2×D59)⋊C4—21no—
699(C2×D59)⋊C4—21no—
700(C2×D59)⋊C4—21no—
701(C2×D59)⋊C4—21no—
702(C2×D59)⋊C4—21no—
703(C2×D59)⋊C4—21no—
704(C2×D59)⋊C4—21no—
705(C2×D59)⋊C4—21no—
706(C2×D59)⋊C4—21no—
707(C2×D59)⋊C4C2×D411yescharacteristic
708(C2×D59)⋊C4C2×D411yescharacteristic
709(C2×D59)⋊C4C2×D411yescharacteristic
710(C2×D59)⋊C4C2×D411yescharacteristic
711C4⋊Dic59—21no—
712C4⋊Dic59—21no—
713C4⋊Dic59—21no—
714C4⋊Dic59—21no—
715C4⋊Dic59—21no—
716C4⋊Dic59C2×D411yescharacteristic
717C4⋊Dic59C2411yescharacteristic
718C4⋊Dic59C2411yescharacteristic
719Dic59⋊C4—21no—
720Dic59⋊C4—21no—
721Dic59⋊C4—21no—
722Dic59⋊C4—21no—
723Dic59⋊C4—21no—
724Dic59⋊C4—21no—
725Dic59⋊C4—21no—
726Dic59⋊C4—21no—
727Dic59⋊C4—21no—
728Dic59⋊C4C2×D411yescharacteristic
729Dic59⋊C4C2×D411yescharacteristic
730C4×Dic59—21no—
731C4×Dic59—21no—
732C4×Dic59—21no—
733C4×Dic59C2×D411yescharacteristic
734C4×Dic59C2×D411yescharacteristic
735C4×Dic59C2411yescharacteristic
736#11745664—41no—
737C2×C59⋊C8—41no—
738C2×C59⋊C8C2411yescharacteristic
739C2×C59⋊C8C2411yescharacteristic
740C2×C59⋊C8C2411yescharacteristic
741C2×C59⋊C8C2411yescharacteristic
742D472—22no—
743D472—41no—
744D472—41no—
745#11745660—22no—
746#11745660—22no—
747#11745660—41no—
748#11745660—41no—
749#11745660—41no—
750#11745660—41no—
751#11745659—41no—
752#11745659—41no—
753C8×D59—41no—
754C8×D59—41no—
755C23×C59—21no—
756C23×C59—21no—
757C23×C59—21no—
758C23×C59—42no—
759C23×C59—42no—
760C23×C59—42no—
761C23×C59—42no—
762C23×C59—81no—
763C23×C59—81no—
764C23×C59C22×D411yescharacteristic
765C23×C59C22×D411yescharacteristic
766C22×D59—24no—
767C22×D59—22no—
768C22×D59—21no—
769C22×D59—22no—
770C22×D59—22no—
771C22×D59—22no—
772C22×D59—21no—
773C22×D59—21no—
774C22×D59—21no—
775C22×D59—41no—
776C22×D59—41no—
777C22×D59—42no—
778C22×D59—42no—
779C22×D59—42no—
780C22×D59—42no—
781C22×D59—42no—
782C22×D59—42no—
783C22×D59—42no—
784C22×D59—42no—
785C22×D59—42no—
786C22×D59—42no—
787C22×D59—42no—
788C22×D59—42no—
789C22×D59—42no—
790C22×D59—42no—
791C22×D59—42no—
792C22×D59—42no—
793C22×D59—42no—
794C22×D59—42no—
795C22×D59—42no—
796C22×D59—42no—
797C22×D59—81no—
798C22×D59—81no—
799C22×D59—81no—
800C22×D59—81no—
801C22×D59—81no—
802C22×D59—81no—
803C22×D59—816no—
804C22×D59—816no—
805C22×D59C22×D411yescharacteristic
806C22×D59C22×D411yescharacteristic
807C22×D59C22×D411yescharacteristic
808Q8×C59—21no—
809Q8×C59—21no—
810D4×C59—22no—
811D4×C59—21no—
812D4×C59—21no—
813D4×C59—21no—
814D4×C59—21no—
815D4×C59—21no—
816D4×C59—42no—
817D4×C59—42no—
818D4×C59—42no—
819D4×C59—42no—
820D4×C59—42no—
821D4×C59—81no—
822D4×C59H(5,𝔽2)12yes—
823C2×C4×C59—21no—
824C2×C4×C59—21no—
825C2×C4×C59—21no—
826C2×C4×C59—21no—
827C2×C4×C59—21no—
828C2×C4×C59—21no—
829C2×C4×C59—21no—
830C2×C4×C59—21no—
831C2×C4×C59—21no—
832C2×C4×C59—42no—
833C2×C4×C59—42no—
834C2×C4×C59C22×D411yescharacteristic
835C2×C4×C59C22×D411yescharacteristic
836C2×C4×C59C22×D411yescharacteristic
837C2×C4×C59C22×D411yescharacteristic
838C2×C4×C59C2511yescharacteristic
839C22⋊D59—24no—
840C22⋊D59—22no—
841C22⋊D59—42no—
842C22⋊D59—42no—
843C22⋊D59—42no—
844C22⋊D59—42no—
845C22⋊D59—42no—
846C22⋊D59—42no—
847C22⋊D59—42no—
848C22⋊D59—42no—
849C22⋊D59—42no—
850C22⋊D59—42no—
851C22⋊D59—42no—
852C22⋊D59—42no—
853C22⋊D59—42no—
854C22⋊D59—81no—
855C22⋊D59—81no—
856C22⋊D59—81no—
857C22⋊D59AGL(1,ℤ/8)14yescomplemented
858C2×Dic59—21no—
859C2×Dic59—21no—
860C2×Dic59—21no—
861C2×Dic59—21no—
862C2×Dic59—41no—
863C2×Dic59—41no—
864C2×Dic59—42no—
865C2×Dic59—81no—
866C2×Dic59C22×D411yescharacteristic
867C2×Dic59C22×D411yescharacteristic
868C2×Dic59C22×D411yescharacteristic
869C2×Dic59C22×D411yescharacteristic
870C2×Dic59C22×D411yescharacteristic
871D236—22no—
872D236—21no—
873D236—21no—
874D236—21no—
875D236—21no—
876D236—21no—
877D236—21no—
878D236—21no—
879D236—42no—
880D236—42no—
881D236—42no—
882D236—42no—
883D236—42no—
884D236—42no—
885D236—42no—
886D236—81no—
887D236—81no—
888D236H(5,𝔽2)12yes—
889C4×D59—22no—
890C4×D59—21no—
891C4×D59—21no—
892C4×D59—21no—
893C4×D59—21no—
894C4×D59—21no—
895C4×D59—21no—
896C4×D59—22no—
897C4×D59—41no—
898C4×D59—41no—
899C4×D59—41no—
900C4×D59—41no—
901C4×D59—42no—
902C4×D59—42no—
903C4×D59—42no—
904C4×D59—42no—
905C4×D59—42no—
906C4×D59—81no—
907C4×D59—81no—
908C4×D59—81no—
909Dic118—21no—
910Dic118—21no—
911Dic118—21no—
912Dic118—21no—
913Dic118—42no—
914Dic118—81no—
915Dic118—81no—
916C8×C59—21no—
917C8×C59—21no—
918C8×C59—21no—
919C8×C59—21no—
920C59⋊C8—21no—
921C59⋊C8—21no—
922C59⋊C8—21no—
923C59⋊C8—21no—
924#61600—591nomaximal, Sylow
925C22×C59—21no—
926C22×C59—21no—
927C22×C59—21no—
928C22×C59—22no—
929C22×C59—21no—
930C22×C59—21no—
931C22×C59—41no—
932C22×C59—41no—
933C22×C59—41no—
934C22×C59—41no—
935C22×C59—41no—
936C22×C59—41no—
937C22×C59—41no—
938C22×C59—41no—
939C22×C59—84no—
940C22×C59—84no—
941C22×C59C2×AGL(1,ℤ/8)12yes—
942C22×C59C23×D411yescharacteristic
943C2×D59—21no—
944C2×D59—21no—
945C2×D59—21no—
946C2×D59—21no—
947C2×D59—21no—
948C2×D59—22no—
949C2×D59—21no—
950C2×D59—21no—
951C2×D59—44no—
952C2×D59—44no—
953C2×D59—48no—
954C2×D59—41no—
955C2×D59—41no—
956C2×D59—41no—
957C2×D59—41no—
958C2×D59—41no—
959C2×D59—41no—
960C2×D59—41no—
961C2×D59—41no—
962C2×D59—41no—
963C2×D59—41no—
964C2×D59—41no—
965C2×D59—84no—
966C2×D59—84no—
967C2×D59—84no—
968C2×D59—84no—
969C2×D59—84no—
970C2×D59—84no—
971C2×D59—84no—
972C2×D59—84no—
973C2×D59C2×AGL(1,ℤ/8)12yes—
974C2×D59#57712yes—
975C4×C59—21no—
976C4×C59—21no—
977C4×C59—21no—
978C4×C59—21no—
979C4×C59—41no—
980C4×C59—41no—
981C4×C59—41no—
982C4×C59—41no—
983C4×C59—41no—
984C4×C59C2×H(5,𝔽2)11yescharacteristic
985C4×C59C2×H(5,𝔽2)11yescharacteristic
986Dic59—21no—
987Dic59—21no—
988Dic59—21no—
989Dic59—21no—
990Dic59—41no—
991Dic59—41no—
992Dic59—41no—
993Dic59—41no—
994Dic59C2×AGL(1,ℤ/8)12yes—
995#3520—591no—
996C2×D42—591no—
997#3324—591no—
998#3324—591no—
999#3310—591no—
1000#3310—591no—
1001#3310—591no—
1002#3310D5911yescharacteristic, complemented
1003#3294—591no—
1004#3294—591no—
1005D4×SD16—591no—
1006D4×SD16—591no—
1007#3272—591no—
1008#3272—591no—
1009#3265—591no—
1010#3265—591no—
1011#3265—591no—
1012#3265—591no—
1013#3217—591no—
1014#3208—591no—
1015#3193—591no—
1016#3193—591no—
1017#3188—591no—
1018#3188—591no—
1019#3110—591no—
1020#3105—591no—
1021#3003—591no—
1022#3003—591no—
1023C2×#450—591no—
1024C2×#450—591no—
1025#2974—591no—
1026C2×C59—22no—
1027C2×C59—41no—
1028C2×C59—42no—
1029C2×C59—81no—
1030C2×C59—81no—
1031C2×C59#348411yescharacteristic
1032C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
1033C2×C59C2×#57711yescharacteristic
1034D59—22no—
1035D59—22no—
1036D59—41no—
1037D59—42no—
1038D59—81no—
1039D59—81no—
1040D59—81no—
1041C23×D4—591no—
1042C23×D4—591no—
1043C23×D4—1181no—
1044C2×AGL(1,ℤ/8)—591no—
1045C2×AGL(1,ℤ/8)—591no—
1046C2×AGL(1,ℤ/8)—591no—
1047C2×AGL(1,ℤ/8)—591no—
1048C22×SD16—591no—
1049C22×SD16—591no—
1050C22×SD16—591no—
1051C22×SD16—591no—
1052#556—591no—
1053#554—1181no—
1054#552—591no—
1055#552C2×D5911yescharacteristic, complemented
1056#551—1181no—
1057#551—1181no—
1058D4×Q8—591no—
1059#548—591no—
1060#548—591no—
1061#547—591no—
1062#547—591no—
1063#546—1181no—
1064D42—591no—
1065D42—591no—
1066D42—591no—
1067D42—591no—
1068D42—591no—
1069D42—591no—
1070D42—591no—
1071D42—1181no—
1072D42—1181no—
1073D42—1181no—
1074D42—1181no—
1075D42C2×D5911yescharacteristic
1076#542—1181no—
1077#539—1181no—
1078#539—1181no—
1079#533—591no—
1080C2×#127—591no—
1081#529—591no—
1082#525—591no—
1083#525—591no—
1084C2×C22⋊Q8—591no—
1085C2×C22⋊Q8—591no—
1086C2×#121—591no—
1087C2×#121—591no—
1088C2×#121—1181no—
1089C2×#120—1181no—
1090C2×#120—1181no—
1091#520—1181no—
1092C2×C4×D4—591no—
1093C2×C4×D4—591no—
1094#496—591no—
1095#496—591no—
1096#492—591no—
1097#492—591no—
1098#490—591no—
1099#490C2×D5911yescharacteristic, complemented
1100#486—591no—
1101#486—591no—
1102#484—591no—
1103#484—591no—
1104#484—591no—
1105#482—591no—
1106#482—591no—
1107#482—591no—
1108#482C2×D5911yescharacteristic, complemented
1109#481—591no—
1110#480—591no—
1111#480—591no—
1112#480—591no—
1113#480C2×D5911yescharacteristic, complemented
1114#478—591no—
1115#478C2×D5911yescharacteristic, complemented
1116#474—591no—
1117#474—591no—
1118#468—591no—
1119#468—591no—
1120#468—591no—
1121#468—591no—
1122#468—591no—
1123#468—591no—
1124#468—591no—
1125#468C2×D5911yescharacteristic, complemented
1126#466—591no—
1127#466—591no—
1128#466—591no—
1129#466—591no—
1130#465—591no—
1131#465—591no—
1132#465—591no—
1133#465C2×D5911yescharacteristic, complemented
1134#463—591no—
1135#463—591no—
1136#461—591no—
1137#461—591no—
1138#460—591no—
1139#460—591no—
1140#460—591no—
1141#460—591no—
1142#460—591no—
1143#460C2×D5911yescharacteristic, complemented
1144#459—591no—
1145#459—591no—
1146#450—591no—
1147#450—591no—
1148#450—591no—
1149#450—591no—
1150#450—591no—
1151#450—591no—
1152#450—591no—
1153#450—591no—
1154#450—591no—
1155#450—591no—
1156#450—591no—
1157#450—591no—
1158#450—591no—
1159#450—591no—
1160#450—591no—
1161#450—591no—
1162#450—591no—
1163#450—591no—
1164#450—591no—
1165#450C2×D5911yescharacteristic, complemented
1166#450C2×D5911yescharacteristic, complemented
1167#449—591no—
1168#449—591no—
1169#449—591no—
1170#449—591no—
1171#448—591no—
1172#448—591no—
1173#448—591no—
1174#448—591no—
1175#447—591no—
1176#447—591no—
1177#447—591no—
1178#447—591no—
1179#447—591no—
1180#447—591no—
1181#447—591no—
1182#440—591no—
1183#440—591no—
1184#440—591no—
1185#440C2×D5911yescharacteristic, complemented
1186C4×SD16—591no—
1187C4×SD16—591no—
1188C4×D8—591no—
1189C4×D8—591no—
1190#436—591no—
1191#436—591no—
1192#435—591no—
1193#435—591no—
1194#435—591no—
1195#435C2×D5911yescharacteristic, complemented
1196C8×D4—591no—
1197C8×D4—591no—
1198#432—591no—
1199#431—591no—
1200#418—591no—
1201#418—591no—
1202#418—591no—
1203#418C2×D5911yescharacteristic, complemented
1204C2×#102—591no—
1205C2×#102—591no—
1206C2×#102—591no—
1207C2×#102C2×D5911yescharacteristic, complemented
1208#407—591no—
1209#407—591no—
1210C2×C22⋊C8—591no—
1211C2×C22⋊C8—591no—
1212C59#6160011yescharacteristic, complemented, Sylow
1213C25—1181no—
1214C25—1181no—
1215C2×#41—591no—
1216C2×#41—591no—
1217C2×#41—1181no—
1218C22×Q8—591no—
1219C22×Q8—591no—
1220C22×D4—21no—
1221C22×D4—591no—
1222C22×D4—591no—
1223C22×D4—591no—
1224C22×D4—591no—
1225C22×D4—591no—
1226C22×D4—591no—
1227C22×D4—591no—
1228C22×D4—591no—
1229C22×D4—591no—
1230C22×D4—591no—
1231C22×D4—1181no—
1232C22×D4—1181no—
1233C22×D4—1181no—
1234C22×D4—1181no—
1235C22×D4—1181no—
1236C22×D4—1181no—
1237C22×D4—1181no—
1238C22×D4—1181no—
1239C22×D4—1181no—
1240C22×D4—1181no—
1241C22×D4—1181no—
1242C22×D4—1181no—
1243C22×D4—1181no—
1244C22×D4—1181no—
1245C22×D4—1181no—
1246C22×D4—1181no—
1247C22×D4—1181no—
1248C22×D4—2362no—
1249C22×D4—2362no—
1250C22×D4—2362no—
1251C22×D4—2362no—
1252C22×D4—2368no—
1253C22×D4C22×D5911yescharacteristic
1254C22×D4C22×D5911yescharacteristic
1255C23×C4—591no—
1256C23×C4—591no—
1257C23×C4—1181no—
1258AGL(1,ℤ/8)—2362no—
1259AGL(1,ℤ/8)—2362no—
1260AGL(1,ℤ/8)—2362no—
1261AGL(1,ℤ/8)—2362no—
1262C2×SD16—591no—
1263C2×SD16—591no—
1264C2×SD16—591no—
1265C2×SD16—591no—
1266C2×SD16—591no—
1267C2×SD16—591no—
1268C2×SD16—591no—
1269C2×SD16—591no—
1270C2×SD16—591no—
1271C2×SD16—591no—
1272C2×SD16—591no—
1273C2×SD16—591no—
1274C2×SD16—591no—
1275C2×SD16—591no—
1276C2×SD16—591no—
1277C2×SD16—2362no—
1278C2×SD16—2362no—
1279C2×SD16—2362no—
1280C2×SD16—2362no—
1281C2×SD16C22×D5911yescharacteristic
1282C2×SD16C22×D5911yescharacteristic, complemented
1283C2×SD16C22×D5911yescharacteristic, complemented
1284C2×D8—591no—
1285C2×D8—591no—
1286C2×D8—591no—
1287C2×D8—591no—
1288C2×D8—591no—
1289C2×D8—591no—
1290C2×M16—591no—
1291C2×M16—591no—
1292C2×M16—591no—
1293C2×M16C22×D5911yescharacteristic, complemented
1294C22×C8—591no—
1295C22×C8—591no—
1296C22×C8—591no—
1297C22×C8C22×D5911yescharacteristic, complemented
1298C4⋊Q8—591no—
1299C4⋊Q8—591no—
1300C4⋊Q8—1181no—
1301#127—591no—
1302#127—591no—
1303#127—591no—
1304#127—1181no—
1305#127—1181no—
1306#127C22×D5911yescharacteristic
1307#126—21no—
1308#126—1181no—
1309#126—1181no—
1310#126—1181no—
1311#126—1181no—
1312#125—21no—
1313#125—1181no—
1314#125—1181no—
1315#125C22×D5911yescharacteristic, complemented
1316#124—591no—
1317#124—1181no—
1318#124—1181no—
1319#124—1181no—
1320#123—21no—
1321#123—1181no—
1322#123—1181no—
1323#123—1181no—
1324#123—1181no—
1325#123—1181no—
1326#123—1181no—
1327#123—1181no—
1328#123—1181no—
1329C22⋊Q8—591no—
1330C22⋊Q8—591no—
1331C22⋊Q8—591no—
1332C22⋊Q8—591no—
1333C22⋊Q8—591no—
1334C22⋊Q8—591no—
1335C22⋊Q8—591no—
1336C22⋊Q8—1181no—
1337C22⋊Q8—1181no—
1338C22⋊Q8—1181no—
1339C22⋊Q8—1181no—
1340C22⋊Q8—1181no—
1341C22⋊Q8—1181no—
1342C22⋊Q8—1181no—
1343C22⋊Q8—1181no—
1344C22⋊Q8—1181no—
1345C22⋊Q8—1181no—
1346C22⋊Q8C22×D5911yescharacteristic, complemented
1347C22⋊Q8C22×D5911yescharacteristic, complemented
1348#121—21no—
1349#121—591no—
1350#121—591no—
1351#121—591no—
1352#121—591no—
1353#121—591no—
1354#121—591no—
1355#121—591no—
1356#121—591no—
1357#121—591no—
1358#121—1181no—
1359#121—1181no—
1360#121—1181no—
1361#121—1181no—
1362#121—1181no—
1363#121—1181no—
1364#121—1181no—
1365#121—1181no—
1366#121—1181no—
1367#121—1181no—
1368#121—1181no—
1369#121—1181no—
1370#121—1181no—
1371#121—1181no—
1372#121C22×D5911yescharacteristic
1373#121C22×D5911yescharacteristic
1374#120—21no—
1375#120—21no—
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—
1389#120—1181no—
1390#120—1181no—
1391#120—1181no—
1392C4×Q8—591no—
1393C4×Q8—591no—
1394C4×Q8—1181no—
1395C4×Q8—1181no—
1396C4×Q8C22×D5911yescharacteristic, complemented
1397C4×D4—591no—
1398C4×D4—591no—
1399C4×D4—591no—
1400C4×D4—591no—
1401C4×D4—591no—
1402C4×D4—591no—
1403C4×D4—591no—
1404C4×D4—591no—
1405C4×D4—591no—
1406C4×D4—591no—
1407C4×D4—591no—
1408C4×D4—1181no—
1409C4×D4—1181no—
1410C4×D4—1181no—
1411C4×D4—1181no—
1412C4×D4—1181no—
1413C4×D4—1181no—
1414C4×D4—1181no—
1415C4×D4—1181no—
1416C4×D4—1181no—
1417C4×D4—1181no—
1418C4×D4C22×D5911yescharacteristic
1419C4×D4C22×D5911yescharacteristic
1420#117—21no—
1421#117—591no—
1422#117—1181no—
1423#117—1181no—
1424#117—1181no—
1425#117C22×D5911yescharacteristic, complemented
1426C2×C4⋊C4—591no—
1427C2×C4⋊C4—591no—
1428C2×C4⋊C4—591no—
1429C2×C4⋊C4—1181no—
1430C2×C4⋊C4—1181no—
1431C2×C4⋊C4—1181no—
1432C2×C4⋊C4C22×D5911yescharacteristic, complemented
1433C2×C22⋊C4—591no—
1434C2×C22⋊C4—591no—
1435C2×C22⋊C4—1181no—
1436C2×C22⋊C4—1181no—
1437C2×C22⋊C4—1181no—
1438C2×C22⋊C4—1181no—
1439C2×C22⋊C4—1181no—
1440C2×C42—591no—
1441#107—591no—
1442#107—591no—
1443#107—591no—
1444#107—591no—
1445#107C22×D5911yescharacteristic, complemented
1446#107C22×D5911yescharacteristic, complemented
1447#106—591no—
1448#106C22×D5911yescharacteristic, complemented
1449C4⋊C8—591no—
1450C4⋊C8—591no—
1451C4⋊C8—591no—
1452C4⋊C8C22×D5911yescharacteristic, complemented
1453#103—591no—
1454#103—591no—
1455#103—591no—
1456#103—591no—
1457#103—591no—
1458#103C22×D5911yescharacteristic, complemented
1459#102—591no—
1460#102—591no—
1461#102—591no—
1462#102—591no—
1463#102—591no—
1464#102—591no—
1465#102—591no—
1466#102—591no—
1467#102—591no—
1468#102—591no—
1469#102—591no—
1470#102—591no—
1471#102—591no—
1472#102—591no—
1473#102—591no—
1474#102—591no—
1475#102—591no—
1476#102C22×D5911yescharacteristic
1477#102C22×D5911yescharacteristic
1478#102C22×D5911yescharacteristic
1479#102C22×D5911yescharacteristic, complemented
1480#102C22×D5911yescharacteristic, complemented
1481#102C22×D5911yescharacteristic, complemented
1482#102C22×D5911yescharacteristic, complemented
1483#102C22×D5911yescharacteristic, complemented
1484#102C22×D5911yescharacteristic, complemented
1485C22⋊C8—591no—
1486C22⋊C8—591no—
1487C22⋊C8—591no—
1488C22⋊C8—591no—
1489C22⋊C8—591no—
1490C22⋊C8—591no—
1491C22⋊C8—591no—
1492C22⋊C8—591no—
1493C22⋊C8—591no—
1494C22⋊C8—591no—
1495C22⋊C8C22×D5911yescharacteristic, complemented
1496C22⋊C8C22×D5911yescharacteristic, complemented
1497#97—591no—
1498#97C22×D5911yescharacteristic, complemented
1499C4×C8—591no—
1500C4×C8—591no—
1501C24—21no—
1502C24—21no—
1503C24—591no—
1504C24—591no—
1505C24—1181no—
1506C24—1181no—
1507C24—1181no—
1508C24—1181no—
1509C24—1181no—
1510C24—1181no—
1511C24—1181no—
1512C24—1181no—
1513C24—1181no—
1514C24—4722no—
1515C24—4722no—
1516C24—2364no—
1517C24—2364no—
1518C24—2364no—
1519C24—2364no—
1520#41—2361no—
1521#41—2361no—
1522#41—2364no—
1523#41—2361no—
1524#41—2361no—
1525C2×Q8—591no—
1526C2×Q8—591no—
1527C2×Q8—1181no—
1528C2×Q8—1181no—
1529C2×Q8—1181no—
1530C2×Q8—2361no—
1531C2×Q8—2361no—
1532C2×Q8—2361no—
1533C2×Q8—2361no—
1534C2×Q8C23×D5911yescharacteristic
1535C2×D4—22no—
1536C2×D4—22no—
1537C2×D4—21no—
1538C2×D4—21no—
1539C2×D4—21no—
1540C2×D4—21no—
1541C2×D4—21no—
1542C2×D4—21no—
1543C2×D4—41no—
1544C2×D4—41no—
1545C2×D4—44no—
1546C2×D4—591no—
1547C2×D4—591no—
1548C2×D4—591no—
1549C2×D4—591no—
1550C2×D4—591no—
1551C2×D4—591no—
1552C2×D4—591no—
1553C2×D4—1182no—
1554C2×D4—1182no—
1555C2×D4—1181no—
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—1181no—
1567C2×D4—1181no—
1568C2×D4—1181no—
1569C2×D4—1181no—
1570C2×D4—1181no—
1571C2×D4—1184no—
1572C2×D4—1182no—
1573C2×D4—1182no—
1574C2×D4—1182no—
1575C2×D4—1182no—
1576C2×D4—1182no—
1577C2×D4—1182no—
1578C2×D4—1181no—
1579C2×D4—1181no—
1580C2×D4—1181no—
1581C2×D4—1181no—
1582C2×D4—1181no—
1583C2×D4—1181no—
1584C2×D4—1181no—
1585C2×D4—1181no—
1586C2×D4—1181no—
1587C2×D4—1181no—
1588C2×D4—4722no—
1589C2×D4—2361no—
1590C2×D4—2361no—
1591C2×D4—2364no—
1592C2×D4—2361no—
1593C2×D4—2361no—
1594C2×D4—2361no—
1595C2×D4—2361no—
1596C2×D4—2361no—
1597C2×D4—2361no—
1598C2×D4—2361no—
1599C2×D4—2361no—
1600C2×D4—2364no—
1601C2×D4—2364no—
1602C2×D4—2364no—
1603C2×D4—2364no—
1604C2×D4—2364no—
1605C2×D4—2364no—
1606C2×D4—2364no—
1607C2×D4—2364no—
1608C2×D4—2364no—
1609C2×D4—2364no—
1610C2×D4—2364no—
1611C2×D4—2364no—
1612C2×D4—2364no—
1613C2×D4—2364no—
1614C2×D4—2364no—
1615C2×D4D4×D5911yescharacteristic
1616C2×D4C23×D5911yescharacteristic
1617C2×D4C23×D5911yescharacteristic
1618C2×D4C23×D5911yescharacteristic
1619C22×C4—21no—
1620C22×C4—21no—
1621C22×C4—591no—
1622C22×C4—591no—
1623C22×C4—591no—
1624C22×C4—591no—
1625C22×C4—591no—
1626C22×C4—591no—
1627C22×C4—591no—
1628C22×C4—591no—
1629C22×C4—591no—
1630C22×C4—591no—
1631C22×C4—591no—
1632C22×C4—1181no—
1633C22×C4—1181no—
1634C22×C4—1181no—
1635C22×C4—1181no—
1636C22×C4—1181no—
1637C22×C4—1181no—
1638C22×C4—1181no—
1639C22×C4—1181no—
1640C22×C4—1181no—
1641C22×C4—1181no—
1642C22×C4—2361no—
1643C22×C4—2361no—
1644C22×C4—2361no—
1645C22×C4—2361no—
1646C22×C4—2364no—
1647C22×C4C23×D5911yescharacteristic
1648C22×C4C23×D5911yescharacteristic
1649SD16—22no—
1650SD16—41no—
1651SD16—41no—
1652SD16—1182no—
1653SD16—1182no—
1654SD16—1182no—
1655SD16—1182no—
1656SD16—1182no—
1657SD16—2361no—
1658SD16—2361no—
1659SD16—2361no—
1660SD16—2361no—
1661SD16—2361no—
1662SD16—2361no—
1663SD16—2361no—
1664SD16—2361no—
1665SD16—2361no—
1666SD16—2361no—
1667D8—1182no—
1668D8—1182no—
1669D8—2361no—
1670D8—2361no—
1671D8—2361no—
1672D8—2361no—
1673M16—41no—
1674M16—2361no—
1675M16—2361no—
1676M16—2361no—
1677C2×C8—41no—
1678C2×C8—591no—
1679C2×C8—591no—
1680C2×C8—591no—
1681C2×C8—591no—
1682C2×C8—2361no—
1683C2×C8—2361no—
1684C2×C8—2361no—
1685C2×C8C23×D5911yescharacteristic
1686C2×C8C23×D5911yescharacteristic
1687C2×C8C23×D5911yescharacteristic
1688C2×C8C23×D5911yescharacteristic
1689C4⋊C4—21no—
1690C4⋊C4—21no—
1691C4⋊C4—21no—
1692C4⋊C4—21no—
1693C4⋊C4—21no—
1694C4⋊C4—21no—
1695C4⋊C4—591no—
1696C4⋊C4—591no—
1697C4⋊C4—591no—
1698C4⋊C4—591no—
1699C4⋊C4—591no—
1700C4⋊C4—1181no—
1701C4⋊C4—1181no—
1702C4⋊C4—1181no—
1703C4⋊C4—1181no—
1704C4⋊C4—1181no—
1705C4⋊C4—1181no—
1706C4⋊C4—1181no—
1707C4⋊C4—1181no—
1708C4⋊C4—1181no—
1709C4⋊C4—1181no—
1710C4⋊C4—1181no—
1711C4⋊C4—1181no—
1712C4⋊C4—1181no—
1713C4⋊C4—1181no—
1714C4⋊C4D4×D5911yescharacteristic
1715C4⋊C4C23×D5911yescharacteristic
1716C4⋊C4C23×D5911yescharacteristic
1717C4⋊C4C23×D5911yescharacteristic
1718C4⋊C4C23×D5911yescharacteristic
1719C22⋊C4—21no—
1720C22⋊C4—21no—
1721C22⋊C4—21no—
1722C22⋊C4—21no—
1723C22⋊C4—21no—
1724C22⋊C4—21no—
1725C22⋊C4—591no—
1726C22⋊C4—591no—
1727C22⋊C4—591no—
1728C22⋊C4—591no—
1729C22⋊C4—591no—
1730C22⋊C4—591no—
1731C22⋊C4—1181no—
1732C22⋊C4—1181no—
1733C22⋊C4—1181no—
1734C22⋊C4—1181no—
1735C22⋊C4—1181no—
1736C22⋊C4—1181no—
1737C22⋊C4—1181no—
1738C22⋊C4—1181no—
1739C22⋊C4—1181no—
1740C22⋊C4—1181no—
1741C22⋊C4—1181no—
1742C22⋊C4—1181no—
1743C22⋊C4—1181no—
1744C22⋊C4—1181no—
1745C22⋊C4—1181no—
1746C22⋊C4—1181no—
1747C22⋊C4—1181no—
1748C22⋊C4—1181no—
1749C22⋊C4—1181no—
1750C22⋊C4—1181no—
1751C22⋊C4—1181no—
1752C22⋊C4—1181no—
1753C22⋊C4—1181no—
1754C22⋊C4D4×D5911yescharacteristic
1755C22⋊C4D4×D5911yescharacteristic
1756C42—21no—
1757C42—21no—
1758C42—591no—
1759C42—591no—
1760C42—591no—
1761C42—1181no—
1762C42—1181no—
1763C42—1181no—
1764C42C23×D5911yescharacteristic
1765C23—21no—
1766C23—21no—
1767C23—21no—
1768C23—42no—
1769C23—42no—
1770C23—42no—
1771C23—42no—
1772C23—81no—
1773C23—81no—
1774C23—591no—
1775C23—591no—
1776C23—591no—
1777C23—1182no—
1778C23—1182no—
1779C23—1182no—
1780C23—1184no—
1781C23—1182no—
1782C23—1181no—
1783C23—1181no—
1784C23—1181no—
1785C23—1181no—
1786C23—4721no—
1787C23—4721no—
1788C23—4721no—
1789C23—4721no—
1790C23—4721no—
1791C23—4721no—
1792C23—47216no—
1793C23—47216no—
1794C23—2361no—
1795C23—2361no—
1796C23—2362no—
1797C23—2362no—
1798C23—2362no—
1799C23—2362no—
1800C23—2362no—
1801C23—2362no—
1802C23—2362no—
1803C23—2362no—
1804C23—2362no—
1805C23—2362no—
1806C23—2362no—
1807C23—2362no—
1808C23—2362no—
1809C23—2362no—
1810C23—2362no—
1811C23—2362no—
1812C23—2362no—
1813C23—2362no—
1814C23—2362no—
1815C23—2362no—
1816C23C2×D4×D5911yescharacteristic
1817C23C2×D4×D5911yescharacteristic
1818Q8—21no—
1819Q8—21no—
1820Q8—1181no—
1821Q8—1181no—
1822Q8—1181no—
1823Q8—1181no—
1824Q8—4721no—
1825Q8—4721no—
1826Q8—2362no—
1827D4—22no—
1828D4—21no—
1829D4—21no—
1830D4—21no—
1831D4—21no—
1832D4—21no—
1833D4—42no—
1834D4—42no—
1835D4—42no—
1836D4—42no—
1837D4—42no—
1838D4—81no—
1839D4—594no—
1840D4—592no—
1841D4—1182no—
1842D4—1182no—
1843D4—1184no—
1844D4—1181no—
1845D4—1181no—
1846D4—1181no—
1847D4—1181no—
1848D4—1181no—
1849D4—1181no—
1850D4—1181no—
1851D4—4721no—
1852D4—4721no—
1853D4—4721no—
1854D4—4721no—
1855D4—4721no—
1856D4—2362no—
1857D4—2362no—
1858D4—2362no—
1859D4—2362no—
1860D4—2362no—
1861D4—2362no—
1862D4—2362no—
1863D4—2362no—
1864D4—2362no—
1865D4—2362no—
1866D4—2362no—
1867D4—2362no—
1868D4—2362no—
1869D4—2362no—
1870D4—2362no—
1871D4—2362no—
1872D4—2362no—
1873D4—2362no—
1874D4—2362no—
1875D4—2362no—
1876D4#1427377312yes—
1877C2×C4—21no—
1878C2×C4—21no—
1879C2×C4—21no—
1880C2×C4—21no—
1881C2×C4—21no—
1882C2×C4—21no—
1883C2×C4—21no—
1884C2×C4—21no—
1885C2×C4—21no—
1886C2×C4—42no—
1887C2×C4—42no—
1888C2×C4—591no—
1889C2×C4—591no—
1890C2×C4—591no—
1891C2×C4—591no—
1892C2×C4—591no—
1893C2×C4—1182no—
1894C2×C4—1182no—
1895C2×C4—1181no—
1896C2×C4—1181no—
1897C2×C4—1181no—
1898C2×C4—1181no—
1899C2×C4—1181no—
1900C2×C4—1181no—
1901C2×C4—1181no—
1902C2×C4—1181no—
1903C2×C4—1181no—
1904C2×C4—1181no—
1905C2×C4—4721no—
1906C2×C4—4721no—
1907C2×C4—4721no—
1908C2×C4—4721no—
1909C2×C4—2361no—
1910C2×C4—2361no—
1911C2×C4—2361no—
1912C2×C4—2361no—
1913C2×C4—2362no—
1914C2×C4—2362no—
1915C2×C4—2362no—
1916C2×C4—2362no—
1917C2×C4—2362no—
1918C2×C4—2362no—
1919C2×C4—2361no—
1920C2×C4—2361no—
1921C2×C4C2×D4×D5911yescharacteristic
1922C2×C4C2×D4×D5911yescharacteristic
1923C2×C4C2×D4×D5911yescharacteristic
1924C2×C4C2×D4×D5911yescharacteristic
1925C2×C4C24×D5911yescharacteristic
1926C8—21no—
1927C8—21no—
1928C8—21no—
1929C8—21no—
1930C8—1181no—
1931C8—1181no—
1932C8—1181no—
1933C8—1181no—
1934C22—21no—
1935C22—21no—
1936C22—21no—
1937C22—22no—
1938C22—21no—
1939C22—21no—
1940C22—41no—
1941C22—41no—
1942C22—41no—
1943C22—41no—
1944C22—41no—
1945C22—41no—
1946C22—41no—
1947C22—41no—
1948C22—84no—
1949C22—84no—
1950C22—592no—
1951C22—592no—
1952C22—1181no—
1953C22—1181no—
1954C22—1181no—
1955C22—1181no—
1956C22—1181no—
1957C22—1182no—
1958C22—1181no—
1959C22—1181no—
1960C22—4724no—
1961C22—4724no—
1962C22—4724no—
1963C22—4724no—
1964C22—4724no—
1965C22—4724no—
1966C22—4724no—
1967C22—4724no—
1968C22—2364no—
1969C22—2364no—
1970C22—2368no—
1971C22—2361no—
1972C22—2361no—
1973C22—2361no—
1974C22—2361no—
1975C22—2361no—
1976C22—2361no—
1977C22—2361no—
1978C22—2361no—
1979C22—2361no—
1980C22—2361no—
1981C22—2361no—
1982C22AGL(1,ℤ/8)×D5912yes—
1983C22C22×D4×D5911yescharacteristic
1984C4—21no—
1985C4—21no—
1986C4—21no—
1987C4—21no—
1988C4—41no—
1989C4—41no—
1990C4—41no—
1991C4—41no—
1992C4—41no—
1993C4—592no—
1994C4—1181no—
1995C4—1181no—
1996C4—1181no—
1997C4—1181no—
1998C4—2361no—
1999C4—2361no—
2000C4—2361no—
2001C4—2361no—
2002C4H(5,𝔽2)×D5911yescharacteristic
2003C4C2×#1427377311yescharacteristic
2004C2—22no—
2005C2—41no—
2006C2—42no—
2007C2—81no—
2008C2—81no—
2009C2—1182no—
2010C2—1182no—
2011C2—4721no—
2012C2—4721no—
2013C2—4721no—
2014C2—2361no—
2015C2—2362no—
2016C2#2143772611yescharacteristic
2017C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
2018C2#577×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3310C2
socleC22×C59C23×D4
hypercenter#3310D59
hypocenterC59#61600
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #21438142C2semidirect
2. D42×D59C2semidirect
3. #21436325C2semidirect
4. #21436323C2semidirect
5. #21436116C2semidirect
6. #21436114C2semidirect
7. #21436111C2semidirect
8. #21435907C2semidirect
9. #21435905C2semidirect
10. #21435790C2semidirect
11. #21435789C2semidirect
12. #21435694C2semidirect
13. #21435693C2semidirect
14. #21435596C2semidirect
15. #21435593C2semidirect
16. #21435587C2semidirect
17. #21435586C2semidirect
18. #21435115C2semidirect
19. #21435036C2semidirect
20. #21434904C2semidirect
21. #21434897C2semidirect
22. #21434865C2semidirect
23. #21434862C2semidirect
24. #21434193C2semidirect
25. #21434148C2semidirect
26. #21433325C2semidirect
27. #21433324C2semidirect
28. C2×#16837554C2semidirect
29. #450×D59C2semidirect
30. #21433126C2semidirect
31. C59×#3310C2semidirect
35. C2×#14273755C22semidirect
36. C2×#14273754C22semidirect
37. C2×#14273754C22semidirect
38. C2×#14273753C22semidirect
39. C22×#11745660C22semidirect
40. C22×#11745670C22semidirect
41. C2×SD16×D59C22semidirect
42. C2×SD16×D59C22semidirect
43. #16838120C22semidirect
45. #16838090C22semidirect
48. #16838065C22semidirect
49. #16838064C22semidirect
50. #16838061C22semidirect
51. #16838054C22semidirect
52. #16838053C22semidirect
68. #16837956C22semidirect
70. #16837937C22semidirect
71. #16837915C22semidirect
72. #16837914C22semidirect
73. C2×#14273707C22semidirect
74. C22⋊Q8×D59C22semidirect
83. #16837791C22semidirect
84. #16837789C22semidirect
85. #16837773C22semidirect
86. #16837773C22semidirect
87. #16837768C22semidirect
88. #16837747C22semidirect
89. #16837747C22semidirect
90. #16837739C22semidirect
91. #16837739C22semidirect
92. #16837736C22semidirect
93. #16837728C22semidirect
94. #16837726C22semidirect
95. #16837724C22semidirect
96. #16837722C22semidirect
97. #16837717C22semidirect
98. #16837715C22semidirect
99. #16837714C22semidirect
100. #16837699C22semidirect
101. #16837681C22semidirect
102. #16837680C22semidirect
103. #16837650C22semidirect
104. #16837649C22semidirect
105. #16837649C22semidirect
106. #16837648C22semidirect
107. #16837647C22semidirect
108. #16837647C22semidirect
109. #16837646C22semidirect
110. #16837639C22semidirect
111. #16837638C22semidirect
112. #16837637C22semidirect
113. #16837636C22semidirect
114. #16837633C22semidirect
115. #16837632C22semidirect
116. #16837630C22semidirect
117. #16837618C22semidirect
118. #16837617C22semidirect
119. #16837606C22semidirect
120. #16837605C22semidirect
121. #16837603C22semidirect
122. #16837602C22semidirect
123. #16837601C22semidirect
124. #16837601C22semidirect
125. #16837599C22semidirect
126. #16837596C22semidirect
127. #16837596C22semidirect
128. #16837555C22semidirect
131. #16837554C22semidirect
132. #16837554C22semidirect
133. #16837554C22semidirect
134. #16837554C22semidirect
135. #16837554C22semidirect
136. #16837554C22semidirect
137. #16837554C22semidirect
138. #16837554C22semidirect
139. #16837554C22semidirect
140. #16837554C22semidirect
141. #16837553C22semidirect
142. #16837552C22semidirect
143. #16837552C22semidirect
145. #16837551C22semidirect
146. #16837551C22semidirect
147. #16837550C22semidirect
148. #16837549C22semidirect
149. #16837546C22semidirect
150. #16837545C22semidirect
151. #16837543C22semidirect
152. #16837542C22semidirect
153. #16837540C22semidirect
154. #16837539C22semidirect
155. #16837538C22semidirect
157. #16837537C22semidirect
158. #16837537C22semidirect
159. #16837537C22semidirect
160. #16837537C22semidirect
161. #16837536C22semidirect
162. #16837504C22semidirect
163. #16837502C22semidirect
164. #16837500C22semidirect
165. #16837493C22semidirect
166. #16837489C22semidirect
167. #16837484C22semidirect
168. #16837482C22semidirect
169. #16837478C22semidirect
170. #16837477C22semidirect
171. #16837475C22semidirect
172. #16837474C22semidirect
173. #16837472C22semidirect
174. C8×C22⋊D59C22semidirect
175. (C22⋊D59)⋊C8C22semidirect
176. #16837457C22semidirect
177. #16837454C22semidirect
178. #16837406C22semidirect
179. #16837405C22semidirect
180. #16837405C22semidirect
181. C2×#14273647C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #16837365C22semidirect
185. #16837364C22semidirect
186. C2×(C2×D59)⋊C8C22semidirect
187. C22⋊C8×D59C22semidirect
188. C59×#552C22semidirect
190. C59×#490C22semidirect
191. C59×#482C22semidirect
192. C59×#480C22semidirect
193. C59×#478C22semidirect
194. C59×#468C22semidirect
195. C59×#465C22semidirect
196. C59×#460C22semidirect
197. C59×#450C22semidirect
198. C59×#450C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#418C22semidirect
202. C2×#102×C59C22semidirect
205. C2×#11745689C23semidirect
207. C2×#11745685C23semidirect
208. C22×Dic118C23semidirect
209. C2×Q8×D59C23semidirect
252. C2×#11745660C23semidirect
253. C2×#11745660C23semidirect
254. C2×#11745660C23semidirect
255. C2×#11745660C23semidirect
259. C2×#11745670C23semidirect
260. C2×#11745670C23semidirect
261. C2×#11745670C23semidirect
262. C2×#11745670C23semidirect
264. C2×#11745671C23semidirect
265. C2×#11745671C23semidirect
269. C2×D472C23semidirect
270. C2×D472C23semidirect
272. C2×#11745669C23semidirect
273. C2×#11745669C23semidirect
274. C2×#11745664C23semidirect
275. C2×#11745659C23semidirect
276. C2×#11745659C23semidirect
277. C22×C59⋊C8C23semidirect
278. C2×C8×D59C23semidirect
279. C2×C8×D59C23semidirect
281. #14273726C23semidirect
282. #14273725C23semidirect
295. #14273715C23semidirect
311. #14273707C23semidirect
312. #14273707C23semidirect
313. #14273707C23semidirect
314. #14273706C23semidirect
328. #14273702C23semidirect
332. #14273701C23semidirect
364. C4×Dic118C23semidirect
365. #14273692C23semidirect
377. #14273689C23semidirect
389. #14273685C23semidirect
396. C4⋊C4×D59C23semidirect
405. #14273661C23semidirect
406. #14273660C23semidirect
407. #14273660C23semidirect
408. #14273660C23semidirect
409. #14273658C23semidirect
410. C4⋊(C59⋊C8)C23semidirect
411. Dic59⋊C8C23semidirect
412. Dic59⋊C8C23semidirect
413. #14273652C23semidirect
414. #14273652C23semidirect
415. #14273651C23semidirect
416. #14273650C23semidirect
417. #14273650C23semidirect
419. #14273649C23semidirect
420. #14273649C23semidirect
421. #14273649C23semidirect
423. #14273648C23semidirect
424. #14273648C23semidirect
428. #14273647C23semidirect
429. #14273647C23semidirect
430. #14273647C23semidirect
431. #14273647C23semidirect
432. #14273647C23semidirect
433. #14273647C23semidirect
434. #14273647C23semidirect
435. C22⋊(C59⋊C8)C23semidirect
436. C22⋊(C59⋊C8)C23semidirect
441. (C2×D59)⋊C8C23semidirect
442. (C2×D59)⋊C8C23semidirect
443. (C2×D59)⋊C8C23semidirect
444. (C2×D59)⋊C8C23semidirect
445. #14273638C23semidirect
446. C8×Dic59C23semidirect
447. C8×Dic59C23semidirect
452. C2×SD16×C59C23semidirect
453. C2×SD16×C59C23semidirect
454. C2×M16×C59C23semidirect
455. C22×C8×C59C23semidirect
459. #125×C59C23semidirect
461. C22⋊Q8×C59C23semidirect
462. C22⋊Q8×C59C23semidirect
468. C4×Q8×C59C23semidirect
472. #117×C59C23semidirect
473. C2×C4⋊C4×C59C23semidirect
474. #107×C59C23semidirect
475. #107×C59C23semidirect
476. #106×C59C23semidirect
477. C4⋊C8×C59C23semidirect
478. #103×C59C23semidirect
482. #102×C59C23semidirect
483. #102×C59C23semidirect
484. #102×C59C23semidirect
485. #102×C59C23semidirect
486. #102×C59C23semidirect
487. #102×C59C23semidirect
488. C22⋊C8×C59C23semidirect
489. C22⋊C8×C59C23semidirect
490. #97×C59C23semidirect
857. C22⋊D59AGL(1,ℤ/8)semidirect
1002. #3310D59semidirect
1055. #552C2×D59semidirect
1099. #490C2×D59semidirect
1108. #482C2×D59semidirect
1113. #480C2×D59semidirect
1115. #478C2×D59semidirect
1125. #468C2×D59semidirect
1133. #465C2×D59semidirect
1143. #460C2×D59semidirect
1165. #450C2×D59semidirect
1166. #450C2×D59semidirect
1185. #440C2×D59semidirect
1195. #435C2×D59semidirect
1203. #418C2×D59semidirect
1207. C2×#102C2×D59semidirect
1212. C59#61600semidirect
1282. C2×SD16C22×D59semidirect
1283. C2×SD16C22×D59semidirect
1293. C2×M16C22×D59semidirect
1297. C22×C8C22×D59semidirect
1315. #125C22×D59semidirect
1346. C22⋊Q8C22×D59semidirect
1347. C22⋊Q8C22×D59semidirect
1396. C4×Q8C22×D59semidirect
1425. #117C22×D59semidirect
1432. C2×C4⋊C4C22×D59semidirect
1445. #107C22×D59semidirect
1446. #107C22×D59semidirect
1448. #106C22×D59semidirect
1452. C4⋊C8C22×D59semidirect
1458. #103C22×D59semidirect
1479. #102C22×D59semidirect
1480. #102C22×D59semidirect
1481. #102C22×D59semidirect
1482. #102C22×D59semidirect
1483. #102C22×D59semidirect
1484. #102C22×D59semidirect
1495. C22⋊C8C22×D59semidirect
1496. C22⋊C8C22×D59semidirect
1498. #97C22×D59semidirect

Maximal subgroups

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

subgroupindex
#214381422
D42×D592
#214363252
#214363232
#214361162
#214361142
#214361112
#214359072
#214359052
#214357902
#214357892
#214356942
#214356932
#214355962
#214355932
#214355872
#214355862
#214351152
#214350362
#214349042
#214348972
#214348652
#214348622
#214341932
#214341482
#214333252
#214333242
C2×#168375542
#450×D592
#214331262
C59×#33102
#6160059