Finite Group Databasebeta

← #29473985

Subgroups — #29473985

Order 15104.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437925C211yesmaximal, characteristic, complemented
2#21437586C211yesmaximal, characteristic, complemented
3#21436350C211yesmaximal, characteristic, complemented
4#21436300C211yesmaximal, characteristic, complemented
5#21436144C211yesmaximal, characteristic, complemented
6#21436116C211yesmaximal, characteristic, complemented
7#21436066C211yesmaximal, characteristic, complemented
8#21435984C211yesmaximal, characteristic, complemented
9#21435934C211yesmaximal, characteristic, complemented
10#21435806C211yesmaximal, characteristic, complemented
11#21435784C211yesmaximal, characteristic, complemented
12#21435746C211yesmaximal, characteristic, complemented
13#21435734C211yesmaximal, characteristic, complemented
14#21435677C211yesmaximal, characteristic, complemented
15#21435656C211yesmaximal, characteristic, complemented
16#21435608C211yesmaximal, characteristic, complemented
17#21435571C211yesmaximal, characteristic, complemented
18#21435134C211yesmaximal, characteristic, complemented
19#21435070C211yesmaximal, characteristic, complemented
20#21434936C211yesmaximal, characteristic, complemented
21#21434905C211yesmaximal, characteristic, complemented
22#21434883C211yesmaximal, characteristic, complemented
23#21434876C211yesmaximal, characteristic, complemented
24#21434203C211yesmaximal, characteristic, complemented
25#21434121C211yesmaximal, characteristic, complemented
26#21433357C211yesmaximal, characteristic, complemented
27#21433334C211yesmaximal, characteristic, complemented
28#21433316C211yesmaximal, characteristic, complemented
29#449×D59C211yesmaximal, characteristic, complemented
30#21433126C211yesmaximal, characteristic, complemented
31C59×#3309C211yesmaximal, characteristic, complemented
32C2×#41×D59C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic, complemented
34C2×#14273760C2211yescharacteristic, complemented
35C2×#14273757C2211yescharacteristic, complemented
36C2×#14273756C2211yescharacteristic, complemented
37C2×#14273751C2211yescharacteristic, complemented
38C2×#14273749C2211yescharacteristic, complemented
39C2×#14273747C2211yescharacteristic, complemented
40C2×SD16×D59C2211yescharacteristic, complemented
41C2×D8×D59C2211yescharacteristic, complemented
42#16838104—21no—
43#16838100C2211yescharacteristic, complemented
44#16838098—21no—
45#16838091C2211yescharacteristic, complemented
46#16838090C2211yescharacteristic
47#16838077—21no—
48#16838075—21no—
49Q8×D236C2211yescharacteristic
50#16838061C2211yescharacteristic, complemented
51#16838059C2211yescharacteristic
52#16838059C2211yescharacteristic, complemented
53#16838058C2211yescharacteristic, complemented
54#16838057—21no—
55#16838057C2211yescharacteristic, complemented
56#16838049—21no—
57#16838049—21no—
58#16838049C2211yescharacteristic
59#16838049C2211yescharacteristic, complemented
60#16838049C2211yescharacteristic, complemented
61#16838047C2211yescharacteristic
62#16838037—21no—
63#16838037C2211yescharacteristic
64#16837993—21no—
65#16837988—21no—
66#16837960—21no—
67#16837950—21no—
68#16837950C2211yescharacteristic, complemented
69#16837937C2211yescharacteristic, complemented
70#16837934C2211yescharacteristic, complemented
71#16837914C2211yescharacteristic, complemented
72#16837912—21no—
73#16837912—21no—
74#16837912C2211yescharacteristic
75#16837912C2211yescharacteristic, complemented
76#16837912C2211yescharacteristic, complemented
77C2×#14273707C2211yescharacteristic, complemented
78#121×D59C2211yescharacteristic, complemented
79#16837874—21no—
80C4×#11745689C2211yescharacteristic, complemented
81C4×D4×D59—21no—
82C4×D4×D59C2211yescharacteristic
83#16837796C2211yescharacteristic, complemented
84#16837789C2211yescharacteristic, complemented
85#16837785C2211yescharacteristic, complemented
86#16837785C2211yescharacteristic, complemented
87#16837772C2211yescharacteristic, complemented
88#16837755C2211yescharacteristic, complemented
89#16837755C2211yescharacteristic, complemented
90#16837745C2211yescharacteristic, complemented
91#16837745C2211yescharacteristic, complemented
92#16837745C2211yescharacteristic, complemented
93#16837743C2211yescharacteristic, complemented
94#16837734C2211yescharacteristic, complemented
95#16837732C2211yescharacteristic, complemented
96#16837728C2211yescharacteristic, complemented
97#16837724C2211yescharacteristic, complemented
98#16837724C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837711C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837699C2211yescharacteristic, complemented
103#16837661C2211yescharacteristic, complemented
104#16837654C2211yescharacteristic, complemented
105#16837653C2211yescharacteristic, complemented
106#16837649C2211yescharacteristic, complemented
107#16837648C2211yescharacteristic, complemented
108#16837647C2211yescharacteristic, complemented
109#16837646C2211yescharacteristic, complemented
110#16837644C2211yescharacteristic, complemented
111#16837644C2211yescharacteristic, complemented
112#16837643C2211yescharacteristic, complemented
113#16837630C2211yescharacteristic, complemented
114#16837630C2211yescharacteristic, complemented
115#16837629C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837624C2211yescharacteristic, complemented
118#16837623C2211yescharacteristic, complemented
119#16837623C2211yescharacteristic, complemented
120#16837622C2211yescharacteristic, complemented
121#16837618C2211yescharacteristic, complemented
122#16837616C2211yescharacteristic, complemented
123#16837616C2211yescharacteristic, complemented
124#16837616C2211yescharacteristic, complemented
125#16837613C2211yescharacteristic, complemented
126#16837607C2211yescharacteristic, complemented
127#16837599C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837566C2211yescharacteristic, complemented
131#16837566C2211yescharacteristic, complemented
132#16837565C2211yescharacteristic, complemented
133#16837565C2211yescharacteristic, complemented
134#16837565C2211yescharacteristic, complemented
135#16837565C2211yescharacteristic, complemented
136#16837565C2211yescharacteristic, complemented
137#16837564C2211yescharacteristic, complemented
138#16837560C2211yescharacteristic, complemented
139#16837559C2211yescharacteristic, complemented
140#16837559C2211yescharacteristic, complemented
141#16837559C2211yescharacteristic, complemented
142#16837554C2211yescharacteristic, complemented
143#16837554C2211yescharacteristic, complemented
144#16837554C2211yescharacteristic, complemented
145#16837554C2211yescharacteristic, complemented
146#16837550C2211yescharacteristic
147#16837549C2211yescharacteristic, complemented
148#16837548C2211yescharacteristic, complemented
149#16837548C2211yescharacteristic, complemented
150#16837547C2211yescharacteristic, complemented
151#16837546C2211yescharacteristic
152#16837545C2211yescharacteristic, complemented
153#16837545C2211yescharacteristic, complemented
154#16837545C2211yescharacteristic, complemented
155#16837544C2211yescharacteristic, complemented
156#16837544C2211yescharacteristic, complemented
157#16837544C2211yescharacteristic, complemented
158#16837542C2211yescharacteristic, complemented
159#16837540C2211yescharacteristic, complemented
160#16837537C2211yescharacteristic, complemented
161#16837534C2211yescharacteristic, complemented
162#16837512C2211yescharacteristic, complemented
163#16837507C2211yescharacteristic, complemented
164#16837504C2211yescharacteristic, complemented
165#16837494C2211yescharacteristic, complemented
166#16837489C2211yescharacteristic, complemented
167#16837487C2211yescharacteristic, complemented
168#16837484C2211yescharacteristic, complemented
169#16837478C2211yescharacteristic, complemented
170#16837477C2211yescharacteristic, complemented
171#16837475C2211yescharacteristic
172#16837474C2211yescharacteristic, complemented
173#16837472C2211yescharacteristic
174C8×C22⋊D59C2211yescharacteristic, complemented
175(C22⋊D59)⋊C8C2211yescharacteristic, complemented
176#16837457C2211yescharacteristic, complemented
177#16837454C2211yescharacteristic, complemented
178#16837409C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic, complemented
180#16837401C2211yescharacteristic, complemented
181#16837396C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837365C2211yescharacteristic, complemented
185#16837364C2211yescharacteristic, complemented
186C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic, complemented
189C59×#550C2211yescharacteristic, complemented
190C59×#490C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#466C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685—21no—
206C2×#11745685C2311yescharacteristic
207C2×#11745685C2311yescharacteristic
208C2×#11745685C2311yescharacteristic
209C2×#11745687—21no—
210C2×#11745687—21no—
211C2×#11745687C2311yescharacteristic
212C2×#11745687C2311yescharacteristic
213C2×#11745687C2311yescharacteristic
214#41×D59—42no—
215#41×D59—42no—
216#41×D59—42no—
217#41×D59—42no—
218C22×Dic118C2311yescharacteristic
219C2×Q8×D59C2311yescharacteristic
220C2×Q8×D59C2311yescharacteristic
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59D411yescharacteristic
226C2×D4×D59C2311yescharacteristic
227C2×D4×D59C2311yescharacteristic
228C2×D4×D59C2311yescharacteristic
229C22×C4×D59—21no—
230C22×C4×D59—21no—
231C22×C4×D59C2311yescharacteristic
232C22×C4×D59C2311yescharacteristic
233#14273760—42no—
234#14273757—42no—
235#14273756—42no—
236#14273751—42no—
237#14273749—42no—
238#14273747—42no—
239C2×Dic236C2311yescharacteristic
240C2×Dic236C2311yescharacteristic
241C2×Dic236C2311yescharacteristic
242C2×Dic236C2311yescharacteristic
243C2×#11745672C2311yescharacteristic
244C2×#11745672C2311yescharacteristic
245C2×#11745660C2311yescharacteristic
246C2×#11745660C2311yescharacteristic
247C2×#11745660C2311yescharacteristic
248C2×#11745660C2311yescharacteristic
249C2×#11745670C2311yescharacteristic
250C2×#11745670C2311yescharacteristic
251C2×#11745670C2311yescharacteristic
252C2×#11745670C2311yescharacteristic
253C2×#11745670C2311yescharacteristic
254C2×#11745670C2311yescharacteristic
255C2×#11745671C2311yescharacteristic
256SD16×D59—42no—
257C2×D472C2311yescharacteristic
258C2×#11745669C2311yescharacteristic
259C2×#11745669C2311yescharacteristic
260C2×#11745669C2311yescharacteristic
261D8×D59—42no—
262C2×#11745664C2311yescharacteristic
263C2×#11745659C2311yescharacteristic
264C2×#11745659C2311yescharacteristic
265C22×C59⋊C8C2311yescharacteristic
266C2×C8×D59C2311yescharacteristic
267C2×C8×D59C2311yescharacteristic
268#14273727—21no—
269#14273727C2311yescharacteristic
270#14273722—21no—
271#14273722—21no—
272#14273722—21no—
273#14273720—21no—
274#14273720—21no—
275#14273719—21no—
276#14273718—21no—
277#14273718C2311yescharacteristic
278#14273715C2311yescharacteristic
279#14273714—21no—
280#14273714—21no—
281#14273714C2311yescharacteristic
282#14273714C2311yescharacteristic
283#14273714C2311yescharacteristic
284#14273713—21no—
285#14273713—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712—21no—
289#14273711—21no—
290#14273711—21no—
291#14273709—21no—
292#14273709—21no—
293#14273709—21no—
294#14273709—21no—
295#14273709—21no—
296#14273709—21no—
297#14273709—21no—
298#14273709—21no—
299#14273709—21no—
300#14273709—21no—
301#14273707—21no—
302#14273707—21no—
303#14273707—21no—
304#14273707—21no—
305#14273707C2311yescharacteristic
306#14273707C2311yescharacteristic
307#14273707C2311yescharacteristic
308#14273707C2311yescharacteristic
309#14273707C2311yescharacteristic
310#14273707C2311yescharacteristic
311#14273707C2311yescharacteristic
312#14273706—21no—
313#14273706—21no—
314#14273706C2311yescharacteristic
315#14273706C2311yescharacteristic
316#14273706C2311yescharacteristic
317#14273705—21no—
318#14273704—21no—
319#14273702C2311yescharacteristic
320#14273702C2311yescharacteristic
321#14273701—21no—
322#14273701—21no—
323#14273701C2311yescharacteristic
324#14273700—21no—
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273698—21no—
329#14273698—21no—
330#14273698—21no—
331#14273698—21no—
332#14273698—21no—
333#14273698—21no—
334#14273698—21no—
335#14273698—21no—
336#14273698—21no—
337#14273698C2311yescharacteristic
338#14273698C2311yescharacteristic
339#14273698C2311yescharacteristic
340#14273697—21no—
341#14273697—21no—
342#14273695—21no—
343#14273695—21no—
344#14273695—21no—
345#14273695—21no—
346#14273695—21no—
347#14273695—21no—
348#14273695—21no—
349#14273695—21no—
350Q8×Dic59C2311yescharacteristic
351C4×Dic118C2311yescharacteristic
352#14273692C2311yescharacteristic
353C4×D236—21no—
354C4×D236—21no—
355C4×D236—21no—
356C4×D236—21no—
357C4×D236C2311yescharacteristic
358C4×D236C2311yescharacteristic
359D4×Dic59—21no—
360D4×Dic59—21no—
361D4×Dic59—21no—
362D4×Dic59—21no—
363D4×Dic59—21no—
364D4×Dic59—21no—
365D4×Dic59D411yescharacteristic
366#14273689—21no—
367#14273689—21no—
368#14273689D411yescharacteristic
369#14273689C2311yescharacteristic
370#14273689C2311yescharacteristic
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59—21no—
374C4×C22⋊D59—21no—
375C4×C22⋊D59C2311yescharacteristic
376C4×C22⋊D59C2311yescharacteristic
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4—21no—
380(C22⋊D59)⋊C4—21no—
381(C22⋊D59)⋊C4D411yescharacteristic
382(C22⋊D59)⋊C4D411yescharacteristic
383#14273686—21no—
384#14273685—21no—
385#14273685—21no—
386#14273685—21no—
387#14273685C2311yescharacteristic
388#14273685C2311yescharacteristic
389#14273684—21no—
390C2×C4⋊Dic59—21no—
391C4⋊C4×D59—21no—
392C4⋊C4×D59D411yescharacteristic
393C4⋊C4×D59C2311yescharacteristic
394C2×(C2×D59)⋊C4—21no—
395C2×(C2×D59)⋊C4—21no—
396C22⋊C4×D59—21no—
397C22⋊C4×D59—21no—
398C22⋊C4×D59—21no—
399C22⋊C4×D59—21no—
400C22⋊C4×D59D411yescharacteristic
401C22⋊C4×D59D411yescharacteristic
402C42×D59—21no—
403C42×D59C2311yescharacteristic
404#14273661C2311yescharacteristic
405#14273660C2311yescharacteristic
406#14273658C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411Dic59⋊C8C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273652C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273650C2311yescharacteristic
423#14273650C2311yescharacteristic
424#14273650C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273649C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443(C2×D59)⋊C8C2311yescharacteristic
444#14273638C2311yescharacteristic
445C8×Dic59C2311yescharacteristic
446C8×Dic59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C2×#41×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454#127×C59—21no—
455#127×C59C2311yescharacteristic
456#126×C59—21no—
457#125×C59C2311yescharacteristic
458#123×C59—21no—
459#121×C59—21no—
460#121×C59—21no—
461#121×C59—21no—
462#121×C59C2311yescharacteristic
463#121×C59C2311yescharacteristic
464#121×C59C2311yescharacteristic
465#121×C59C2311yescharacteristic
466C4×Q8×C59C2311yescharacteristic
467C4×D4×C59—21no—
468C4×D4×C59—21no—
469C4×D4×C59C2311yescharacteristic
470C4×D4×C59C2311yescharacteristic
471#117×C59C2311yescharacteristic
472C2×C4⋊C4×C59C2311yescharacteristic
473#107×C59C2311yescharacteristic
474#107×C59C2311yescharacteristic
475#106×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489#97×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59C2×D411yescharacteristic
494C23×D59C2×D411yescharacteristic
495#41×C59—22no—
496#41×C59—22no—
497#41×C59—41no—
498#41×C59—41no—
499C2×Q8×C59C2411yescharacteristic
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59C2×D411yescharacteristic
509C2×D4×C59C2411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59C2411yescharacteristic
517C22×C4×C59C2411yescharacteristic
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59C2×D411yescharacteristic
532C2×C22⋊D59C2×D411yescharacteristic
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59—21no—
536C22×Dic59—21no—
537C22×Dic59C2×D411yescharacteristic
538C22×Dic59C2×D411yescharacteristic
539#11745689—22no—
540#11745689—22no—
541Q8×D59—22no—
542Q8×D59—22no—
543Q8×D59—41no—
544Q8×D59—41no—
545#11745687—41no—
546#11745687—41no—
547#11745687—41no—
548#11745687—41no—
549#11745687—41no—
550#11745687—41no—
551#11745687—44no—
552#11745687—44no—
553D4×D59—22no—
554D4×D59—22no—
555D4×D59—41no—
556D4×D59—41no—
557D4×D59—41no—
558D4×D59—41no—
559D4×D59—42no—
560D4×D59—44no—
561D4×D59—44no—
562D4×D59—44no—
563D4×D59—44no—
564#11745685—22no—
565#11745685—22no—
566#11745685—41no—
567#11745685—41no—
568#11745685—41no—
569#11745685—41no—
570#11745685—44no—
571#11745685—44no—
572C2×D236—21no—
573C2×D236—21no—
574C2×D236—21no—
575C2×D236C2×D411yescharacteristic
576C2×D236C2411yescharacteristic
577C2×D236C2411yescharacteristic
578C2×C4×D59—21no—
579C2×C4×D59—21no—
580C2×C4×D59—21no—
581C2×C4×D59—21no—
582C2×C4×D59—21no—
583C2×C4×D59—21no—
584C2×C4×D59—21no—
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—41no—
589C2×C4×D59—41no—
590C2×C4×D59—41no—
591C2×C4×D59—41no—
592C2×C4×D59—44no—
593C2×C4×D59—44no—
594C2×C4×D59C2×D411yescharacteristic
595C2×C4×D59C2×D411yescharacteristic
596C2×C4×D59C2×D411yescharacteristic
597C2×C4×D59C2×D411yescharacteristic
598C2×C4×D59C2×D411yescharacteristic
599C2×C4×D59C2×D411yescharacteristic
600C2×C4×D59C2411yescharacteristic
601C2×C4×D59C2411yescharacteristic
602C2×C4×D59C2411yescharacteristic
603C2×Dic118—21no—
604C2×Dic118—21no—
605C2×Dic118—21no—
606C2×Dic118—41no—
607C2×Dic118—41no—
608C2×Dic118C2411yescharacteristic
609C2×Dic118C2411yescharacteristic
610C2×Dic118C2411yescharacteristic
611C2×Dic118C2411yescharacteristic
612SD16×C59—22no—
613D8×C59—41no—
614D8×C59—41no—
615M16×C59—41no—
616C2×C8×C59—41no—
617C2×C8×C59C2411yescharacteristic
618C2×C8×C59C2411yescharacteristic
619C2×C8×C59C2411yescharacteristic
620C2×C8×C59C2411yescharacteristic
621C4⋊C4×C59—21no—
622C4⋊C4×C59—21no—
623C4⋊C4×C59—21no—
624C4⋊C4×C59—21no—
625C4⋊C4×C59C2×D411yescharacteristic
626C4⋊C4×C59C2411yescharacteristic
627C4⋊C4×C59C2411yescharacteristic
628C4⋊C4×C59C2411yescharacteristic
629C4⋊C4×C59C2411yescharacteristic
630C22⋊C4×C59—21no—
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59C2×D411yescharacteristic
637C22⋊C4×C59C2×D411yescharacteristic
638C42×C59—21no—
639C42×C59—21no—
640C42×C59C2411yescharacteristic
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59—21no—
646C22⋊Dic59—21no—
647C22⋊Dic59—21no—
648C22⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59—21no—
652C22⋊Dic59—21no—
653C22⋊Dic59C2×D411yescharacteristic
654C22⋊Dic59C2×D411yescharacteristic
655#11745672—22no—
656#11745672—22no—
657#11745671—22no—
658#11745670—41no—
659#11745670—41no—
660#11745670—41no—
661#11745670—41no—
662#11745670—41no—
663#11745670—41no—
664#11745669—22no—
665#11745669—41no—
666#11745669—41no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4C2×D411yescharacteristic
685(C2×D59)⋊C4C2×D411yescharacteristic
686(C2×D59)⋊C4C2×D411yescharacteristic
687(C2×D59)⋊C4C2×D411yescharacteristic
688C4⋊Dic59—21no—
689C4⋊Dic59—21no—
690C4⋊Dic59—21no—
691C4⋊Dic59—21no—
692C4⋊Dic59—21no—
693C4⋊Dic59—21no—
694C4⋊Dic59—21no—
695C4⋊Dic59—21no—
696C4⋊Dic59—21no—
697C4⋊Dic59—21no—
698C4⋊Dic59—21no—
699C4⋊Dic59C2×D411yescharacteristic
700C4⋊Dic59C2411yescharacteristic
701C4⋊Dic59C2411yescharacteristic
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4C2×D411yescharacteristic
710Dic59⋊C4C2×D411yescharacteristic
711C4×Dic59—21no—
712C4×Dic59—21no—
713C4×Dic59—21no—
714C4×Dic59—21no—
715C4×Dic59—21no—
716C4×Dic59C2×D411yescharacteristic
717C4×Dic59C2×D411yescharacteristic
718C4×Dic59C2411yescharacteristic
719#11745664—41no—
720C2×C59⋊C8—41no—
721C2×C59⋊C8C2411yescharacteristic
722C2×C59⋊C8C2411yescharacteristic
723C2×C59⋊C8C2411yescharacteristic
724C2×C59⋊C8C2411yescharacteristic
725Dic236—41no—
726Dic236—41no—
727Dic236—41no—
728Dic236—41no—
729D472—22no—
730#11745660—22no—
731#11745660—22no—
732#11745660—41no—
733#11745660—41no—
734#11745659—41no—
735#11745659—41no—
736C8×D59—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59—21no—
740C23×C59—21no—
741C23×C59C22×D411yescharacteristic
742C23×C59C22×D411yescharacteristic
743C22×D59—21no—
744C22×D59—22no—
745C22×D59—21no—
746C22×D59—41no—
747C22×D59—41no—
748C22×D59—41no—
749C22×D59—41no—
750C22×D59—41no—
751C22×D59—42no—
752C22×D59—42no—
753C22×D59—42no—
754C22×D59—42no—
755C22×D59—42no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59C22×D411yescharacteristic
761C22×D59C22×D411yescharacteristic
762C22×D59C22×D411yescharacteristic
763Q8×C59—21no—
764Q8×C59H(5,𝔽2)12yes—
765D4×C59—21no—
766D4×C59—21no—
767D4×C59—21no—
768D4×C59—21no—
769D4×C59—21no—
770D4×C59—21no—
771D4×C59—41no—
772D4×C59—42no—
773D4×C59—42no—
774D4×C59—42no—
775D4×C59—42no—
776D4×C59—81no—
777D4×C59—81no—
778D4×C59—81no—
779D4×C59—81no—
780C2×C4×C59—21no—
781C2×C4×C59—21no—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—21no—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—42no—
790C2×C4×C59—42no—
791C2×C4×C59—81no—
792C2×C4×C59—81no—
793C2×C4×C59C22×D411yescharacteristic
794C2×C4×C59C22×D411yescharacteristic
795C2×C4×C59C22×D411yescharacteristic
796C2×C4×C59C22×D411yescharacteristic
797C2×C4×C59C2511yescharacteristic
798C22⋊D59—22no—
799C22⋊D59—41no—
800C22⋊D59—42no—
801C22⋊D59—42no—
802C22⋊D59—42no—
803C22⋊D59—42no—
804C22⋊D59—42no—
805C22⋊D59—42no—
806C22⋊D59—42no—
807C22⋊D59—42no—
808C22⋊D59—42no—
809C22⋊D59—42no—
810C22⋊D59—81no—
811C22⋊D59—81no—
812C22⋊D59—81no—
813C2×Dic59—21no—
814C2×Dic59—21no—
815C2×Dic59—21no—
816C2×Dic59—21no—
817C2×Dic59—21no—
818C2×Dic59—21no—
819C2×Dic59—41no—
820C2×Dic59—41no—
821C2×Dic59—42no—
822C2×Dic59—42no—
823C2×Dic59—81no—
824C2×Dic59—81no—
825C2×Dic59C22×D411yescharacteristic
826C2×Dic59C22×D411yescharacteristic
827C2×Dic59C22×D411yescharacteristic
828C2×Dic59C22×D411yescharacteristic
829C2×Dic59C22×D411yescharacteristic
830D236—24no—
831D236—22no—
832D236—21no—
833D236—21no—
834D236—21no—
835D236—42no—
836D236—81no—
837D236H(5,𝔽2)12yes—
838C4×D59—24no—
839C4×D59—21no—
840C4×D59—21no—
841C4×D59—21no—
842C4×D59—21no—
843C4×D59—21no—
844C4×D59—21no—
845C4×D59—41no—
846C4×D59—41no—
847C4×D59—41no—
848C4×D59—41no—
849C4×D59—41no—
850C4×D59—41no—
851C4×D59—42no—
852C4×D59—42no—
853C4×D59—42no—
854C4×D59—42no—
855C4×D59—42no—
856C4×D59—42no—
857C4×D59—81no—
858C4×D59—81no—
859C4×D59—81no—
860Dic118—21no—
861Dic118—21no—
862Dic118—21no—
863Dic118—21no—
864Dic118—21no—
865Dic118—21no—
866Dic118—21no—
867Dic118—21no—
868Dic118—42no—
869Dic118—42no—
870Dic118—81no—
871C8×C59—21no—
872C8×C59—21no—
873C8×C59—21no—
874C8×C59—21no—
875C59⋊C8—21no—
876C59⋊C8—21no—
877C59⋊C8—21no—
878C59⋊C8—21no—
879#61597—591nomaximal, Sylow
880C22×C59—21no—
881C22×C59—21no—
882C22×C59—21no—
883C22×C59—21no—
884C22×C59—21no—
885C22×C59—21no—
886C22×C59—41no—
887C22×C59—41no—
888C22×C59—41no—
889C22×C59—41no—
890C22×C59—41no—
891C22×C59—41no—
892C22×C59—41no—
893C22×C59—41no—
894C22×C59—41no—
895C22×C59C23×D411yescharacteristic
896C2×D59—21no—
897C2×D59—21no—
898C2×D59—21no—
899C2×D59—21no—
900C2×D59—21no—
901C2×D59—21no—
902C2×D59—22no—
903C2×D59—21no—
904C2×D59—21no—
905C2×D59—41no—
906C2×D59—41no—
907C2×D59—41no—
908C2×D59—41no—
909C2×D59—41no—
910C2×D59—82no—
911C2×D59—84no—
912C2×D59—82no—
913C2×D59—84no—
914C2×D59—162no—
915C2×D59#57512yes—
916C4×C59—21no—
917C4×C59—22no—
918C4×C59—21no—
919C4×C59—21no—
920C4×C59—21no—
921C4×C59—41no—
922C4×C59—41no—
923C4×C59—41no—
924C4×C59—41no—
925C4×C59C2×H(5,𝔽2)11yescharacteristic
926C4×C59C2×H(5,𝔽2)11yescharacteristic
927Dic59—21no—
928Dic59—21no—
929Dic59—21no—
930Dic59—21no—
931Dic59—21no—
932Dic59—41no—
933Dic59—41no—
934Dic59—41no—
935Dic59—41no—
936Dic59—41no—
937Dic59—41no—
938#3505—591no—
939D4×#41—591no—
940#3326—591no—
941#3322—591no—
942#3312—591no—
943#3310—591no—
944#3309D5911yescharacteristic, complemented
945#3307—591no—
946#3300—591no—
947#3296—591no—
948#3282—591no—
949#3280—591no—
950#3277—591no—
951#3275—591no—
952#3271—591no—
953#3269—591no—
954#3266—591no—
955#3264—591no—
956#3219—591no—
957#3212—591no—
958#3197—591no—
959#3194—591no—
960#3191—591no—
961#3190—591no—
962#3111—591no—
963#3102—591no—
964#3007—591no—
965#3005—591no—
966#3002—591no—
967C2×#449—591no—
968#2974—591no—
969C2×C59—41no—
970C2×C59—41no—
971C2×C59—81no—
972C2×C59—81no—
973C2×C59—81no—
974C2×C59#348411yescharacteristic
975C2×C59C2×#57511yescharacteristic
976C2×C59#358411yescharacteristic
977D59—22no—
978D59—41no—
979D59—41no—
980D59—42no—
981D59—81no—
982C22×#41—591no—
983C22×#41—591no—
984C2×#137—591no—
985C2×#137—591no—
986C2×#137—591no—
987C2×AGL(1,ℤ/8)—591no—
988C2×#135—591no—
989C2×#135—591no—
990C22×SD16—591no—
991C22×D8—591no—
992#553—591no—
993#553—1181no—
994#553—1181no—
995#553C2×D5911yescharacteristic, complemented
996#552—591no—
997#552—591no—
998#551—1181no—
999#551—1181no—
1000#550C2×D5911yescharacteristic, complemented
1001D4×Q8—591no—
1002#548—591no—
1003#548—591no—
1004#548—591no—
1005#548—591no—
1006#547—591no—
1007#547—1181no—
1008#546—591no—
1009#546—591no—
1010#546—591no—
1011#546—591no—
1012#546—1181no—
1013#546—1181no—
1014D42—591no—
1015D42—1181no—
1016#539—1181no—
1017#538—1181no—
1018#534—1181no—
1019#532—591no—
1020#532—1181no—
1021#529—591no—
1022#529—591no—
1023#525—591no—
1024#525—591no—
1025#525—591no—
1026#525—591no—
1027#525—1181no—
1028#525—1181no—
1029C2×C22⋊Q8—591no—
1030C2×#121—591no—
1031#518—1181no—
1032C4×#41—591no—
1033C2×C4×D4—591no—
1034C2×C4×D4—1181no—
1035#497—591no—
1036#496—591no—
1037#495—591no—
1038#495—591no—
1039#491—591no—
1040#490C2×D5911yescharacteristic, complemented
1041#488—591no—
1042#488—591no—
1043#485—591no—
1044#485—591no—
1045#485—591no—
1046#485—591no—
1047#483—591no—
1048#483—591no—
1049#482—591no—
1050#482—591no—
1051#482—591no—
1052#482C2×D5911yescharacteristic, complemented
1053#480—591no—
1054#480C2×D5911yescharacteristic, complemented
1055#479—591no—
1056#479C2×D5911yescharacteristic, complemented
1057#478—591no—
1058#478—591no—
1059#470—591no—
1060#469—591no—
1061#469—591no—
1062#469C2×D5911yescharacteristic, complemented
1063#468—591no—
1064#468—591no—
1065#468—591no—
1066#468—591no—
1067#467—591no—
1068#467—591no—
1069#467—591no—
1070#466C2×D5911yescharacteristic, complemented
1071#465—591no—
1072#465—591no—
1073#465—591no—
1074#465—591no—
1075#464—591no—
1076#464—591no—
1077#464—591no—
1078#464—591no—
1079#463—591no—
1080#463—591no—
1081#463—591no—
1082#463—591no—
1083#462—591no—
1084#461—591no—
1085#460—591no—
1086#459C2×D5911yescharacteristic, complemented
1087#452—591no—
1088#452—591no—
1089#452—591no—
1090#452—591no—
1091#452—591no—
1092#452—591no—
1093#452—591no—
1094#452—591no—
1095#452—591no—
1096#452—591no—
1097#451—591no—
1098#451—591no—
1099#451—591no—
1100#451—591no—
1101#450—591no—
1102#450—591no—
1103#450—591no—
1104#450—591no—
1105#449—591no—
1106#449—591no—
1107#449—591no—
1108#449—591no—
1109#449—591no—
1110#449—591no—
1111#449—591no—
1112#449—591no—
1113#449—591no—
1114#449—591no—
1115#449—591no—
1116#449—591no—
1117#449C2×D5911yescharacteristic, complemented
1118#449C2×D5911yescharacteristic, complemented
1119#448—591no—
1120#448—591no—
1121#447—591no—
1122#447—591no—
1123#442—591no—
1124#441—591no—
1125#440—591no—
1126#440C2×D5911yescharacteristic, complemented
1127C4×Q16—591no—
1128C4×SD16—591no—
1129C4×SD16—591no—
1130C4×D8—591no—
1131#436—591no—
1132#436—591no—
1133#435—591no—
1134#435—591no—
1135#435—591no—
1136#435C2×D5911yescharacteristic, complemented
1137C8×D4—591no—
1138C8×D4—591no—
1139#432—591no—
1140#431—591no—
1141#419—591no—
1142#418—591no—
1143#417—591no—
1144#417C2×D5911yescharacteristic, complemented
1145#416—591no—
1146#416C2×D5911yescharacteristic, complemented
1147C2×#103—591no—
1148C2×#102—591no—
1149#407—591no—
1150#407—591no—
1151C2×C22⋊C8—591no—
1152C2×C22⋊C8—591no—
1153C59#6159711yescharacteristic, complemented, Sylow
1154C2×#41—591no—
1155C2×#41—591no—
1156C2×#41—591no—
1157C2×#41—591no—
1158C2×#41—591no—
1159C2×#41—591no—
1160C2×#41—591no—
1161C2×#41—1181no—
1162C2×#41—1181no—
1163C2×#41—1181no—
1164C2×#41—1181no—
1165C2×#41—2362no—
1166C2×#41—2362no—
1167C2×#41—2362no—
1168C2×#41—2362no—
1169C2×#41C22×D5911yescharacteristic
1170C2×#41C22×D5911yescharacteristic
1171C22×Q8—591no—
1172C22×Q8—591no—
1173C22×Q8—591no—
1174C22×D4—591no—
1175C22×D4—591no—
1176C22×D4—591no—
1177C22×D4—591no—
1178C22×D4—1181no—
1179C22×D4—1181no—
1180C22×D4—1181no—
1181C22×D4—1181no—
1182C23×C4—591no—
1183C23×C4—591no—
1184C23×C4—1181no—
1185C23×C4—1181no—
1186#137—2362no—
1187#137—2362no—
1188#137—2362no—
1189AGL(1,ℤ/8)—2362no—
1190#135—2362no—
1191#135—2362no—
1192C2×Q16—591no—
1193C2×Q16—591no—
1194C2×Q16—591no—
1195C2×Q16—591no—
1196C2×Q16—591no—
1197C2×Q16—591no—
1198C2×SD16—591no—
1199C2×SD16—591no—
1200C2×SD16—591no—
1201C2×SD16—591no—
1202C2×SD16—591no—
1203C2×SD16—591no—
1204C2×SD16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16—591no—
1209C2×SD16—2362no—
1210C2×SD16C22×D5911yescharacteristic
1211C2×D8—591no—
1212C2×D8—591no—
1213C2×D8—591no—
1214C2×D8—591no—
1215C2×D8—2362no—
1216C2×D8C22×D5911yescharacteristic
1217C2×D8C22×D5911yescharacteristic
1218C2×M16—591no—
1219C2×M16—591no—
1220C2×M16—591no—
1221C2×M16C22×D5911yescharacteristic
1222C22×C8—591no—
1223C22×C8—591no—
1224C22×C8—591no—
1225C22×C8C22×D5911yescharacteristic
1226C4⋊Q8—591no—
1227C4⋊Q8—1181no—
1228#127—21no—
1229#127C22×D5911yescharacteristic
1230#126—21no—
1231#126—1181no—
1232#126—1181no—
1233#126—1181no—
1234#126—1181no—
1235#126—1181no—
1236#125—591no—
1237#125—1181no—
1238#125—1181no—
1239#125C22×D5911yescharacteristic
1240#124—591no—
1241#124—591no—
1242#124—591no—
1243#124—591no—
1244#124—1181no—
1245#124—1181no—
1246#124—1181no—
1247#124—1181no—
1248#123—21no—
1249#123—1181no—
1250#123—1181no—
1251#123—1181no—
1252#123—1181no—
1253#123—1181no—
1254#123—1181no—
1255#123—1181no—
1256#123—1181no—
1257#123—1181no—
1258#123—1181no—
1259#123—1181no—
1260#123—1181no—
1261#123—1181no—
1262#123—1181no—
1263#123—1181no—
1264C22⋊Q8—591no—
1265C22⋊Q8—591no—
1266C22⋊Q8—591no—
1267C22⋊Q8—591no—
1268C22⋊Q8—591no—
1269C22⋊Q8—591no—
1270C22⋊Q8—591no—
1271C22⋊Q8—591no—
1272C22⋊Q8—591no—
1273C22⋊Q8—591no—
1274C22⋊Q8—1181no—
1275C22⋊Q8—1181no—
1276C22⋊Q8—1181no—
1277C22⋊Q8—1181no—
1278C22⋊Q8—1181no—
1279C22⋊Q8—1181no—
1280C22⋊Q8—1181no—
1281C22⋊Q8—1181no—
1282#121—21no—
1283#121—21no—
1284#121—21no—
1285#121—591no—
1286#121—591no—
1287#121—591no—
1288#121—591no—
1289#121—591no—
1290#121—591no—
1291#121—1181no—
1292#121—1181no—
1293#121—1181no—
1294#121—1181no—
1295#121—1181no—
1296#121—1181no—
1297#121—1181no—
1298#121—1181no—
1299#121—1181no—
1300#121—1181no—
1301#121—1181no—
1302#121—1181no—
1303#121—1181no—
1304#121—1181no—
1305#121—1181no—
1306#121C22×D5911yescharacteristic
1307#121C22×D5911yescharacteristic
1308#121C22×D5911yescharacteristic
1309#121C22×D5911yescharacteristic
1310#120—1181no—
1311#120—1181no—
1312#120—1181no—
1313#120—1181no—
1314#120—1181no—
1315#120—1181no—
1316#120—1181no—
1317#120—1181no—
1318#120—1181no—
1319#120—1181no—
1320C4×Q8—591no—
1321C4×Q8—591no—
1322C4×Q8—591no—
1323C4×Q8C22×D5911yescharacteristic
1324C4×D4—21no—
1325C4×D4—21no—
1326C4×D4—591no—
1327C4×D4—591no—
1328C4×D4—591no—
1329C4×D4—591no—
1330C4×D4—591no—
1331C4×D4—591no—
1332C4×D4—591no—
1333C4×D4—591no—
1334C4×D4—591no—
1335C4×D4—591no—
1336C4×D4—1181no—
1337C4×D4—1181no—
1338C4×D4—1181no—
1339C4×D4—1181no—
1340C4×D4—1181no—
1341C4×D4—1181no—
1342C4×D4—1181no—
1343C4×D4—1181no—
1344C4×D4—1181no—
1345C4×D4—1181no—
1346C4×D4—1181no—
1347C4×D4—1181no—
1348C4×D4—1181no—
1349C4×D4—1181no—
1350C4×D4—1181no—
1351C4×D4—1181no—
1352C4×D4—1181no—
1353C4×D4—1181no—
1354C4×D4—1181no—
1355C4×D4—1181no—
1356C4×D4C22×D5911yescharacteristic
1357C4×D4C22×D5911yescharacteristic
1358#117—591no—
1359#117—591no—
1360#117—1181no—
1361#117—1181no—
1362#117—1181no—
1363#117—1181no—
1364#117—1181no—
1365#117C22×D5911yescharacteristic
1366C2×C4⋊C4—591no—
1367C2×C4⋊C4—591no—
1368C2×C4⋊C4—1181no—
1369C2×C4⋊C4—1181no—
1370C2×C4⋊C4C22×D5911yescharacteristic
1371C2×C22⋊C4—591no—
1372C2×C22⋊C4—591no—
1373C2×C22⋊C4—1181no—
1374C2×C22⋊C4—1181no—
1375C2×C22⋊C4—1181no—
1376C2×C22⋊C4—1181no—
1377C2×C22⋊C4—1181no—
1378C2×C22⋊C4—1181no—
1379C2×C42—591no—
1380C2×C42—1181no—
1381#107—591no—
1382#107—591no—
1383#107C22×D5911yescharacteristic
1384#107C22×D5911yescharacteristic
1385#106—591no—
1386#106—591no—
1387#106—591no—
1388#106C22×D5911yescharacteristic
1389C4⋊C8—591no—
1390C4⋊C8—591no—
1391C4⋊C8—591no—
1392C4⋊C8C22×D5911yescharacteristic
1393#103—591no—
1394#103—591no—
1395#103—591no—
1396#103—591no—
1397#103—591no—
1398#103—591no—
1399#103—591no—
1400#103—591no—
1401#103—591no—
1402#103—591no—
1403#103—591no—
1404#103—591no—
1405#103—591no—
1406#103C22×D5911yescharacteristic
1407#103C22×D5911yescharacteristic
1408#103C22×D5911yescharacteristic
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102—591no—
1413#102—591no—
1414#102—591no—
1415#102—591no—
1416#102—591no—
1417#102—591no—
1418#102C22×D5911yescharacteristic
1419#102C22×D5911yescharacteristic
1420#102C22×D5911yescharacteristic
1421#102C22×D5911yescharacteristic
1422#102C22×D5911yescharacteristic
1423#102C22×D5911yescharacteristic
1424#102C22×D5911yescharacteristic
1425C22⋊C8—591no—
1426C22⋊C8—591no—
1427C22⋊C8—591no—
1428C22⋊C8—591no—
1429C22⋊C8—591no—
1430C22⋊C8—591no—
1431C22⋊C8—591no—
1432C22⋊C8—591no—
1433C22⋊C8—591no—
1434C22⋊C8—591no—
1435C22⋊C8C22×D5911yescharacteristic
1436C22⋊C8C22×D5911yescharacteristic
1437#97—591no—
1438#97C22×D5911yescharacteristic
1439C4×C8—591no—
1440C4×C8—591no—
1441C24—591no—
1442C24—591no—
1443C24—1181no—
1444C24—1181no—
1445C24—1181no—
1446#41—22no—
1447#41—22no—
1448#41—41no—
1449#41—41no—
1450#41—1182no—
1451#41—1182no—
1452#41—1182no—
1453#41—1182no—
1454#41—2361no—
1455#41—2361no—
1456#41—2361no—
1457#41—2361no—
1458#41—2364no—
1459#41—2364no—
1460#41—2361no—
1461#41—2361no—
1462#41—2361no—
1463#41—2361no—
1464#41—2361no—
1465#41—2361no—
1466#41—2364no—
1467#41—2364no—
1468C2×Q8—591no—
1469C2×Q8—591no—
1470C2×Q8—591no—
1471C2×Q8—591no—
1472C2×Q8—1181no—
1473C2×Q8—1181no—
1474C2×Q8—1181no—
1475C2×Q8—1182no—
1476C2×Q8—1182no—
1477C2×Q8—2361no—
1478C2×Q8—2361no—
1479C2×Q8—2361no—
1480C2×Q8—2361no—
1481C2×Q8C23×D5911yescharacteristic
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—591no—
1491C2×D4—591no—
1492C2×D4—591no—
1493C2×D4—591no—
1494C2×D4—591no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—1181no—
1500C2×D4—1181no—
1501C2×D4—1182no—
1502C2×D4—1182no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—1181no—
1512C2×D4—1181no—
1513C2×D4—2361no—
1514C2×D4—2361no—
1515C2×D4—2361no—
1516C2×D4—2361no—
1517C2×D4—2362no—
1518C2×D4—2364no—
1519C2×D4—2364no—
1520C2×D4—2364no—
1521C2×D4—2364no—
1522C2×D4D4×D5911yescharacteristic
1523C2×D4C23×D5911yescharacteristic
1524C2×D4C23×D5911yescharacteristic
1525C2×D4C23×D5911yescharacteristic
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—591no—
1531C22×C4—591no—
1532C22×C4—591no—
1533C22×C4—591no—
1534C22×C4—591no—
1535C22×C4—591no—
1536C22×C4—591no—
1537C22×C4—591no—
1538C22×C4—591no—
1539C22×C4—591no—
1540C22×C4—591no—
1541C22×C4—1181no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4—1181no—
1545C22×C4—1181no—
1546C22×C4—1181no—
1547C22×C4—1181no—
1548C22×C4—1181no—
1549C22×C4—1181no—
1550C22×C4—1181no—
1551C22×C4—1181no—
1552C22×C4—1181no—
1553C22×C4—1181no—
1554C22×C4—1181no—
1555C22×C4—2361no—
1556C22×C4—2361no—
1557C22×C4—2361no—
1558C22×C4—2361no—
1559C22×C4—2364no—
1560C22×C4—2364no—
1561C22×C4C23×D5911yescharacteristic
1562C22×C4C23×D5911yescharacteristic
1563Q16—1182no—
1564Q16—1182no—
1565Q16—2361no—
1566Q16—2361no—
1567Q16—2361no—
1568Q16—2361no—
1569SD16—22no—
1570SD16—1182no—
1571SD16—1182no—
1572SD16—1182no—
1573SD16—2361no—
1574SD16—2361no—
1575SD16—2361no—
1576SD16—2361no—
1577SD16—2361no—
1578SD16—2361no—
1579SD16—2361no—
1580SD16—2361no—
1581D8—41no—
1582D8—41no—
1583D8—1182no—
1584D8—1182no—
1585D8—2361no—
1586D8—2361no—
1587M16—41no—
1588M16—2361no—
1589M16—2361no—
1590M16—2361no—
1591C2×C8—41no—
1592C2×C8—591no—
1593C2×C8—591no—
1594C2×C8—591no—
1595C2×C8—591no—
1596C2×C8—2361no—
1597C2×C8—2361no—
1598C2×C8—2361no—
1599C2×C8C23×D5911yescharacteristic
1600C2×C8C23×D5911yescharacteristic
1601C2×C8C23×D5911yescharacteristic
1602C2×C8C23×D5911yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—591no—
1608C4⋊C4—591no—
1609C4⋊C4—591no—
1610C4⋊C4—591no—
1611C4⋊C4—591no—
1612C4⋊C4—1181no—
1613C4⋊C4—1181no—
1614C4⋊C4—1181no—
1615C4⋊C4—1181no—
1616C4⋊C4—1181no—
1617C4⋊C4—1181no—
1618C4⋊C4—1181no—
1619C4⋊C4—1181no—
1620C4⋊C4—1181no—
1621C4⋊C4—1181no—
1622C4⋊C4—1181no—
1623C4⋊C4—1181no—
1624C4⋊C4—1181no—
1625C4⋊C4—1181no—
1626C4⋊C4—1181no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4—1181no—
1630C4⋊C4D4×D5911yescharacteristic
1631C4⋊C4C23×D5911yescharacteristic
1632C4⋊C4C23×D5911yescharacteristic
1633C4⋊C4C23×D5911yescharacteristic
1634C4⋊C4C23×D5911yescharacteristic
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—591no—
1642C22⋊C4—591no—
1643C22⋊C4—591no—
1644C22⋊C4—591no—
1645C22⋊C4—591no—
1646C22⋊C4—591no—
1647C22⋊C4—1181no—
1648C22⋊C4—1181no—
1649C22⋊C4—1181no—
1650C22⋊C4—1181no—
1651C22⋊C4—1181no—
1652C22⋊C4—1181no—
1653C22⋊C4—1181no—
1654C22⋊C4—1181no—
1655C22⋊C4—1181no—
1656C22⋊C4—1181no—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4—1181no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4—1181no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4D4×D5911yescharacteristic
1677C22⋊C4D4×D5911yescharacteristic
1678C42—21no—
1679C42—21no—
1680C42—591no—
1681C42—591no—
1682C42—591no—
1683C42—1181no—
1684C42—1181no—
1685C42—1181no—
1686C42—1181no—
1687C42—1181no—
1688C42C23×D5911yescharacteristic
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—591no—
1693C23—591no—
1694C23—591no—
1695C23—1182no—
1696C23—1181no—
1697C23—1181no—
1698C23—4721no—
1699C23—4721no—
1700C23—4721no—
1701C23—4721no—
1702C23—2361no—
1703C23—2361no—
1704C23—2361no—
1705C23—2361no—
1706C23—2361no—
1707C23—2362no—
1708C23—2362no—
1709C23—2362no—
1710C23—2362no—
1711C23—2362no—
1712C23C2×D4×D5911yescharacteristic
1713C23C2×D4×D5911yescharacteristic
1714Q8—21no—
1715Q8—1181no—
1716Q8—1181no—
1717Q8—1181no—
1718Q8—1181no—
1719Q8—1181no—
1720Q8—1181no—
1721Q8—1181no—
1722Q8—1181no—
1723Q8—4721no—
1724Q8—2362no—
1725Q8—2362no—
1726Q8#1427377312yes—
1727D4—21no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—41no—
1734D4—42no—
1735D4—42no—
1736D4—42no—
1737D4—42no—
1738D4—81no—
1739D4—81no—
1740D4—81no—
1741D4—81no—
1742D4—592no—
1743D4—1182no—
1744D4—1184no—
1745D4—1182no—
1746D4—1181no—
1747D4—1181no—
1748D4—1181no—
1749D4—4721no—
1750D4—4721no—
1751D4—4721no—
1752D4—4721no—
1753D4—2362no—
1754D4—2361no—
1755D4—2362no—
1756D4—2362no—
1757D4—2362no—
1758D4—2362no—
1759D4—2362no—
1760D4—2362no—
1761D4—2362no—
1762D4—2362no—
1763D4—2362no—
1764D4—2362no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—42no—
1775C2×C4—42no—
1776C2×C4—81no—
1777C2×C4—81no—
1778C2×C4—591no—
1779C2×C4—591no—
1780C2×C4—591no—
1781C2×C4—591no—
1782C2×C4—591no—
1783C2×C4—1184no—
1784C2×C4—1181no—
1785C2×C4—1181no—
1786C2×C4—1181no—
1787C2×C4—1181no—
1788C2×C4—1181no—
1789C2×C4—1181no—
1790C2×C4—1181no—
1791C2×C4—1181no—
1792C2×C4—1181no—
1793C2×C4—1181no—
1794C2×C4—1181no—
1795C2×C4—1181no—
1796C2×C4—4721no—
1797C2×C4—4721no—
1798C2×C4—4721no—
1799C2×C4—4721no—
1800C2×C4—4721no—
1801C2×C4—2361no—
1802C2×C4—2361no—
1803C2×C4—2361no—
1804C2×C4—2361no—
1805C2×C4—2361no—
1806C2×C4—2361no—
1807C2×C4—2362no—
1808C2×C4—2362no—
1809C2×C4—2362no—
1810C2×C4—2362no—
1811C2×C4—2362no—
1812C2×C4—2362no—
1813C2×C4—2361no—
1814C2×C4—2361no—
1815C2×C4—2362no—
1816C2×C4—2362no—
1817C2×C4C2×D4×D5911yescharacteristic
1818C2×C4C2×D4×D5911yescharacteristic
1819C2×C4C2×D4×D5911yescharacteristic
1820C2×C4C2×D4×D5911yescharacteristic
1821C2×C4C24×D5911yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1181no—
1827C8—1181no—
1828C8—1181no—
1829C8—1181no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—592no—
1846C22—1181no—
1847C22—1181no—
1848C22—1181no—
1849C22—1182no—
1850C22—1181no—
1851C22—1181no—
1852C22—1181no—
1853C22—1181no—
1854C22—1181no—
1855C22—9442no—
1856C22—4722no—
1857C22—4722no—
1858C22—4724no—
1859C22—4724no—
1860C22—2361no—
1861C22—2361no—
1862C22—2361no—
1863C22—2361no—
1864C22—2361no—
1865C22C22×D4×D5911yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—22no—
1869C4—21no—
1870C4—21no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—1181no—
1876C4—1181no—
1877C4—1181no—
1878C4—1181no—
1879C4—1181no—
1880C4—2361no—
1881C4—2361no—
1882C4—2361no—
1883C4—2361no—
1884C4—2361no—
1885C4—2361no—
1886C4H(5,𝔽2)×D5911yescharacteristic
1887C4C2×#1427377311yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—81no—
1891C2—81no—
1892C2—81no—
1893C2—1182no—
1894C2—4721no—
1895C2—2361no—
1896C2—2361no—
1897C2—2362no—
1898C2#2143772611yescharacteristic
1899C2#575×D5911yescharacteristic
1900C2#2143886411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3309C2
socleC22×C59C23×D4
hypercenter#3309D59
hypocenterC59#61597
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3309

Complements

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

NH ≅ G/Ntype
1. #21437925C2semidirect
2. #21437586C2semidirect
3. #21436350C2semidirect
4. #21436300C2semidirect
5. #21436144C2semidirect
6. #21436116C2semidirect
7. #21436066C2semidirect
8. #21435984C2semidirect
9. #21435934C2semidirect
10. #21435806C2semidirect
11. #21435784C2semidirect
12. #21435746C2semidirect
13. #21435734C2semidirect
14. #21435677C2semidirect
15. #21435656C2semidirect
16. #21435608C2semidirect
17. #21435571C2semidirect
18. #21435134C2semidirect
19. #21435070C2semidirect
20. #21434936C2semidirect
21. #21434905C2semidirect
22. #21434883C2semidirect
23. #21434876C2semidirect
24. #21434203C2semidirect
25. #21434121C2semidirect
26. #21433357C2semidirect
27. #21433334C2semidirect
28. #21433316C2semidirect
29. #449×D59C2semidirect
30. #21433126C2semidirect
31. C59×#3309C2semidirect
33. C2×#41×D59C22semidirect
34. C2×#14273760C22semidirect
35. C2×#14273757C22semidirect
36. C2×#14273756C22semidirect
37. C2×#14273751C22semidirect
38. C2×#14273749C22semidirect
39. C2×#14273747C22semidirect
40. C2×SD16×D59C22semidirect
41. C2×D8×D59C22semidirect
43. #16838100C22semidirect
45. #16838091C22semidirect
50. #16838061C22semidirect
52. #16838059C22semidirect
53. #16838058C22semidirect
55. #16838057C22semidirect
59. #16838049C22semidirect
60. #16838049C22semidirect
68. #16837950C22semidirect
69. #16837937C22semidirect
70. #16837934C22semidirect
71. #16837914C22semidirect
75. #16837912C22semidirect
76. #16837912C22semidirect
77. C2×#14273707C22semidirect
78. #121×D59C22semidirect
80. C4×#11745689C22semidirect
83. #16837796C22semidirect
84. #16837789C22semidirect
85. #16837785C22semidirect
86. #16837785C22semidirect
87. #16837772C22semidirect
88. #16837755C22semidirect
89. #16837755C22semidirect
90. #16837745C22semidirect
91. #16837745C22semidirect
92. #16837745C22semidirect
93. #16837743C22semidirect
94. #16837734C22semidirect
95. #16837732C22semidirect
96. #16837728C22semidirect
97. #16837724C22semidirect
98. #16837724C22semidirect
99. #16837714C22semidirect
100. #16837711C22semidirect
101. #16837705C22semidirect
102. #16837699C22semidirect
103. #16837661C22semidirect
104. #16837654C22semidirect
105. #16837653C22semidirect
106. #16837649C22semidirect
107. #16837648C22semidirect
108. #16837647C22semidirect
109. #16837646C22semidirect
110. #16837644C22semidirect
111. #16837644C22semidirect
112. #16837643C22semidirect
113. #16837630C22semidirect
114. #16837630C22semidirect
115. #16837629C22semidirect
116. #16837629C22semidirect
117. #16837624C22semidirect
118. #16837623C22semidirect
119. #16837623C22semidirect
120. #16837622C22semidirect
121. #16837618C22semidirect
122. #16837616C22semidirect
123. #16837616C22semidirect
124. #16837616C22semidirect
125. #16837613C22semidirect
126. #16837607C22semidirect
127. #16837599C22semidirect
128. #16837567C22semidirect
129. #16837567C22semidirect
130. #16837566C22semidirect
131. #16837566C22semidirect
132. #16837565C22semidirect
133. #16837565C22semidirect
134. #16837565C22semidirect
135. #16837565C22semidirect
136. #16837565C22semidirect
137. #16837564C22semidirect
138. #16837560C22semidirect
139. #16837559C22semidirect
140. #16837559C22semidirect
141. #16837559C22semidirect
142. #16837554C22semidirect
143. #16837554C22semidirect
144. #16837554C22semidirect
145. #16837554C22semidirect
147. #16837549C22semidirect
148. #16837548C22semidirect
149. #16837548C22semidirect
150. #16837547C22semidirect
152. #16837545C22semidirect
153. #16837545C22semidirect
154. #16837545C22semidirect
155. #16837544C22semidirect
156. #16837544C22semidirect
157. #16837544C22semidirect
158. #16837542C22semidirect
159. #16837540C22semidirect
160. #16837537C22semidirect
161. #16837534C22semidirect
162. #16837512C22semidirect
163. #16837507C22semidirect
164. #16837504C22semidirect
165. #16837494C22semidirect
166. #16837489C22semidirect
167. #16837487C22semidirect
168. #16837484C22semidirect
169. #16837478C22semidirect
170. #16837477C22semidirect
172. #16837474C22semidirect
174. C8×C22⋊D59C22semidirect
175. (C22⋊D59)⋊C8C22semidirect
176. #16837457C22semidirect
177. #16837454C22semidirect
178. #16837409C22semidirect
179. #16837405C22semidirect
180. #16837401C22semidirect
181. #16837396C22semidirect
182. #103×D59C22semidirect
183. #102×D59C22semidirect
184. #16837365C22semidirect
185. #16837364C22semidirect
186. C2×(C2×D59)⋊C8C22semidirect
187. C22⋊C8×D59C22semidirect
188. C59×#553C22semidirect
189. C59×#550C22semidirect
190. C59×#490C22semidirect
191. C59×#482C22semidirect
192. C59×#480C22semidirect
193. C59×#479C22semidirect
194. C59×#469C22semidirect
195. C59×#466C22semidirect
196. C59×#459C22semidirect
197. C59×#449C22semidirect
198. C59×#449C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#417C22semidirect
202. C59×#416C22semidirect
944. #3309D59semidirect
995. #553C2×D59semidirect
1000. #550C2×D59semidirect
1040. #490C2×D59semidirect
1052. #482C2×D59semidirect
1054. #480C2×D59semidirect
1056. #479C2×D59semidirect
1062. #469C2×D59semidirect
1070. #466C2×D59semidirect
1086. #459C2×D59semidirect
1117. #449C2×D59semidirect
1118. #449C2×D59semidirect
1126. #440C2×D59semidirect
1136. #435C2×D59semidirect
1144. #417C2×D59semidirect
1146. #416C2×D59semidirect
1153. C59#61597semidirect

Maximal subgroups

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

subgroupindex
#214379252
#214375862
#214363502
#214363002
#214361442
#214361162
#214360662
#214359842
#214359342
#214358062
#214357842
#214357462
#214357342
#214356772
#214356562
#214356082
#214355712
#214351342
#214350702
#214349362
#214349052
#214348832
#214348762
#214342032
#214341212
#214333572
#214333342
#214333162
#449×D592
#214331262
C59×#33092
#6159759