Finite Group Databasebeta

← #29466077

Subgroups — #29466077

Order 15104.

2230 conjugacy classes of subgroups.

The subgroup lattice has 1898 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437812C211yesmaximal, characteristic, complemented
2#21437726C211yesmaximal, characteristic, complemented
3#21436340C211yesmaximal, characteristic, complemented
4#21436333C211yesmaximal, characteristic, complemented
5#21436328C211yesmaximal, characteristic, complemented
6#21436323C211yesmaximal, characteristic, complemented
7#21436313C211yesmaximal, characteristic, complemented
8#21436311C211yesmaximal, characteristic, complemented
9#21436303C211yesmaximal, characteristic, complemented
10#21436259C211yesmaximal, characteristic, complemented
11#21436256C211yesmaximal, characteristic, complemented
12#21436231C211yesmaximal, characteristic, complemented
13#21436230C211yesmaximal, characteristic, complemented
14#21436135C211yesmaximal, characteristic, complemented
15#21436132C211yesmaximal, characteristic, complemented
16#21436115C211yesmaximal, characteristic, complemented
17#21436114C211yesmaximal, characteristic, complemented
18#21434449C211yesmaximal, characteristic, complemented
19#21434047C211yesmaximal, characteristic, complemented
20#21434028C211yesmaximal, characteristic, complemented
21#21433924C211yesmaximal, characteristic, complemented
22#21433773C211yesmaximal, characteristic, complemented
23#21433700C211yesmaximal, characteristic, complemented
24#21433636C211yesmaximal, characteristic, complemented
25#21433398C211yesmaximal, characteristic, complemented
26#21433320C211yesmaximal, characteristic, complemented
27#21432921C211yesmaximal, characteristic, complemented
28#21432796C211yesmaximal, characteristic, complemented
29#21432620C211yesmaximal, characteristic, complemented
30#418×D59C211yesmaximal, characteristic, complemented
31C59×#3322C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C2×#14273751C2211yescharacteristic
35C2×#14273751C2211yescharacteristic, complemented
36C2×#14273748C2211yescharacteristic, complemented
37C2×#14273735C2211yescharacteristic, complemented
38C2×M16×D59C2211yescharacteristic, complemented
39#16838122C2211yescharacteristic, complemented
40#16838120C2211yescharacteristic, complemented
41#16838119—21no—
42#16838117C2211yescharacteristic, complemented
43#16838116—21no—
44#16838116C2211yescharacteristic, complemented
45#16838101—21no—
46#16838099C2211yescharacteristic, complemented
47#16838090C2211yescharacteristic, complemented
48#16838089—21no—
49#16838087C2211yescharacteristic, complemented
50#16838045C2211yescharacteristic
51#16838044—21no—
52#16838043C2211yescharacteristic
53#16838042—21no—
54#16838040C2211yescharacteristic
55D4×D236C2211yescharacteristic
56D4×D236C2211yescharacteristic
57#16838036—21no—
58#16838036C2211yescharacteristic
59D4×C22⋊D59C2211yescharacteristic
60#16838034—21no—
61#16838032C2211yescharacteristic, complemented
62#16837988—21no—
63#16837984—21no—
64#16837981C2211yescharacteristic, complemented
65#16837970C2211yescharacteristic
66#16837968C2211yescharacteristic
67#16837963—21no—
68#16837960—21no—
69#16837935—21no—
70#16837934—21no—
71#16837915C2211yescharacteristic
72#16837912C2211yescharacteristic, complemented
73#16837911C2211yescharacteristic
74C2×#14273697—21no—
75#120×D59—21no—
76#16837883C2211yescharacteristic, complemented
77#16837881C2211yescharacteristic, complemented
78#16837874C2211yescharacteristic
79#117×D59C2211yescharacteristic, complemented
80#16837768C2211yescharacteristic, complemented
81#16837765C2211yescharacteristic, complemented
82#16837763C2211yescharacteristic, complemented
83#16837761C2211yescharacteristic, complemented
84#16837758C2211yescharacteristic, complemented
85#16837749C2211yescharacteristic, complemented
86#16837747C2211yescharacteristic, complemented
87#16837742C2211yescharacteristic, complemented
88#16837741C2211yescharacteristic, complemented
89#16837740C2211yescharacteristic, complemented
90#16837729C2211yescharacteristic, complemented
91#16837729C2211yescharacteristic, complemented
92#16837728C2211yescharacteristic, complemented
93#16837727C2211yescharacteristic, complemented
94#16837727C2211yescharacteristic, complemented
95#16837726C2211yescharacteristic, complemented
96#16837724C2211yescharacteristic, complemented
97#16837723C2211yescharacteristic, complemented
98#16837720C2211yescharacteristic, complemented
99#16837719C2211yescharacteristic, complemented
100#16837717C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837700C2211yescharacteristic, complemented
103#16837699C2211yescharacteristic, complemented
104#16837692C2211yescharacteristic, complemented
105#16837691C2211yescharacteristic, complemented
106#16837683C2211yescharacteristic, complemented
107#16837680C2211yescharacteristic, complemented
108#16837659C2211yescharacteristic, complemented
109#16837658C2211yescharacteristic, complemented
110#16837654C2211yescharacteristic, complemented
111#16837654C2211yescharacteristic, complemented
112#16837653C2211yescharacteristic, complemented
113#16837649C2211yescharacteristic, complemented
114#16837648C2211yescharacteristic, complemented
115#16837648C2211yescharacteristic, complemented
116#16837647C2211yescharacteristic, complemented
117#16837645C2211yescharacteristic, complemented
118#16837636C2211yescharacteristic, complemented
119#16837635C2211yescharacteristic, complemented
120#16837632C2211yescharacteristic, complemented
121#16837629C2211yescharacteristic, complemented
122#16837627C2211yescharacteristic, complemented
123#16837621C2211yescharacteristic, complemented
124#16837619C2211yescharacteristic, complemented
125#16837603C2211yescharacteristic, complemented
126#16837601C2211yescharacteristic, complemented
127#16837597C2211yescharacteristic, complemented
128#16837595C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837564C2211yescharacteristic, complemented
131#16837555C2211yescharacteristic, complemented
132#16837555C2211yescharacteristic, complemented
133#16837554C2211yescharacteristic, complemented
134#16837554C2211yescharacteristic, complemented
135#16837554C2211yescharacteristic, complemented
136#16837553C2211yescharacteristic, complemented
137#16837546C2211yescharacteristic, complemented
138#16837535C2211yescharacteristic, complemented
139#16837535C2211yescharacteristic, complemented
140#16837534C2211yescharacteristic, complemented
141#16837534C2211yescharacteristic, complemented
142#16837534C2211yescharacteristic, complemented
143#16837514C2211yescharacteristic, complemented
144#16837512C2211yescharacteristic, complemented
145#16837502C2211yescharacteristic, complemented
146#16837501C2211yescharacteristic, complemented
147#16837493C2211yescharacteristic, complemented
148C4×#11745660C2211yescharacteristic, complemented
149#16837482C2211yescharacteristic, complemented
150#16837481C2211yescharacteristic, complemented
151#16837478C2211yescharacteristic, complemented
152#16837478C2211yescharacteristic, complemented
153#16837476C2211yescharacteristic, complemented
154#16837474C2211yescharacteristic, complemented
155#16837472C2211yescharacteristic, complemented
156#16837470C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#16837441C2211yescharacteristic, complemented
159#16837439C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837408C2211yescharacteristic, complemented
162#16837408C2211yescharacteristic, complemented
163#16837407C2211yescharacteristic, complemented
164#16837406C2211yescharacteristic, complemented
165#16837405C2211yescharacteristic
166#16837405C2211yescharacteristic, complemented
167#16837405C2211yescharacteristic, complemented
168#16837405C2211yescharacteristic, complemented
169#16837405C2211yescharacteristic, complemented
170#16837405C2211yescharacteristic, complemented
171#16837405C2211yescharacteristic, complemented
172#16837402C2211yescharacteristic, complemented
173#16837402C2211yescharacteristic, complemented
174#16837402C2211yescharacteristic, complemented
175#16837398C2211yescharacteristic, complemented
176#16837397C2211yescharacteristic, complemented
177#16837397C2211yescharacteristic, complemented
178#16837395C2211yescharacteristic, complemented
179C2×#14273647C2211yescharacteristic, complemented
180#102×D59C2211yescharacteristic
181#102×D59C2211yescharacteristic
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic, complemented
187#16837356C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic, complemented
189C59×#546C2211yescharacteristic
190C59×#488C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic, complemented
199C4×D8×C59C2211yescharacteristic, complemented
200C59×#436C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C59×#417C2211yescharacteristic, complemented
203C24×D59—21no—
204#14273773—24no—
205#14273773—42no—
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745685—21no—
209C2×#11745685C2311yescharacteristic
210C2×#11745687C2311yescharacteristic
211C22×D236—21no—
212C22×D236—21no—
213C22×D236C2311yescharacteristic
214C22×D236C2311yescharacteristic
215C22×C22⋊D59—21no—
216C22×C22⋊D59—21no—
217C2×D4×D59—24no—
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—42no—
225C2×D4×D59C2311yescharacteristic
226C2×D4×D59C2311yescharacteristic
227C2×D4×D59C2311yescharacteristic
228C2×D4×D59C2311yescharacteristic
229C2×D4×D59C2311yescharacteristic
230C22×C4×D59C2311yescharacteristic
231#14273751—24no—
232#14273751—42no—
233#14273748—42no—
234C2×#11745672C2311yescharacteristic, complemented
235C2×#11745660C2311yescharacteristic
236C2×#11745660C2311yescharacteristic
237C2×#11745660C2311yescharacteristic, complemented
238C2×#11745670C2311yescharacteristic
239C2×#11745670C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745669C2311yescharacteristic, complemented
243#14273735—42no—
244C2×#11745664C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249C2×#11745659C2311yescharacteristic, complemented
250M16×D59—42no—
251C22×C59⋊C8C2311yescharacteristic, complemented
252C2×C8×D59C2311yescharacteristic
253C2×C8×D59C2311yescharacteristic
254C2×C8×D59C2311yescharacteristic, complemented
255#14273727C2311yescharacteristic, complemented
256#14273726—21no—
257#14273726C2311yescharacteristic, complemented
258#14273724C2311yescharacteristic
259#14273723—21no—
260#14273723C2311yescharacteristic
261#14273722—21no—
262#14273722—21no—
263#14273721—21no—
264#14273720—21no—
265#14273720—21no—
266#14273720—21no—
267#14273720—21no—
268#14273718—21no—
269#14273718C2311yescharacteristic, complemented
270#14273717—21no—
271#14273717—21no—
272#14273716C2311yescharacteristic
273#14273714—21no—
274#14273714—21no—
275#14273713—21no—
276#14273713—21no—
277#14273713—21no—
278#14273713—21no—
279#14273713—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712—21no—
283#14273712D411yescharacteristic
284#14273710—21no—
285#14273710—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709D411yescharacteristic
289#14273708—21no—
290#14273707—21no—
291#14273707C2311yescharacteristic
292#14273707C2311yescharacteristic, complemented
293#14273706C2311yescharacteristic
294#14273706C2311yescharacteristic, complemented
295#14273705—21no—
296#14273705D411yescharacteristic
297#14273704—21no—
298#14273704D411yescharacteristic
299#14273703C2311yescharacteristic
300#14273702—21no—
301#14273702—21no—
302#14273702C2311yescharacteristic
303#14273702C2311yescharacteristic
304#14273701—21no—
305#14273701—21no—
306#14273701C2311yescharacteristic
307#14273701C2311yescharacteristic
308#14273700—21no—
309#14273700—21no—
310#14273700—21no—
311#14273700—21no—
312#14273700—21no—
313#14273700D411yescharacteristic
314#14273699—21no—
315#14273699—21no—
316#14273699—21no—
317#14273699—21no—
318#14273699D411yescharacteristic
319#14273698—21no—
320#14273698—21no—
321#14273698C2311yescharacteristic
322#14273698C2311yescharacteristic
323#14273698C2311yescharacteristic, complemented
324#14273697—21no—
325#14273697—21no—
326#14273697—21no—
327#14273697—21no—
328#14273697—21no—
329#14273697—21no—
330#14273697—21no—
331#14273697—21no—
332#14273697—21no—
333#14273697—21no—
334#14273697—21no—
335#14273697D411yescharacteristic
336#14273696—21no—
337#14273695—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695—21no—
342#14273695D411yescharacteristic
343C4×Dic118—21no—
344C4×Dic118C2311yescharacteristic, complemented
345#14273692—21no—
346#14273692—21no—
347#14273692C2311yescharacteristic, complemented
348C4×D236C2311yescharacteristic
349C4×D236C2311yescharacteristic
350D4×Dic59—21no—
351D4×Dic59C2311yescharacteristic
352D4×Dic59C2311yescharacteristic, complemented
353#14273689—21no—
354#14273689—21no—
355#14273689C2311yescharacteristic
356C4×C22⋊D59—21no—
357C4×C22⋊D59—21no—
358C4×C22⋊D59—21no—
359C4×C22⋊D59—21no—
360C4×C22⋊D59C2311yescharacteristic
361C4×C22⋊D59C2311yescharacteristic
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4—21no—
365(C22⋊D59)⋊C4—21no—
366(C22⋊D59)⋊C4—21no—
367#14273686—21no—
368#14273686—21no—
369#14273686C2311yescharacteristic
370#14273686C2311yescharacteristic, complemented
371#14273685—21no—
372#14273685C2311yescharacteristic
373#14273685C2311yescharacteristic
374#14273685C2311yescharacteristic
375#14273685C2311yescharacteristic
376#14273685C2311yescharacteristic, complemented
377#14273684—21no—
378#14273684C2311yescharacteristic
379#14273683—21no—
380#14273683—21no—
381#14273683—21no—
382C2×Dic59⋊C4—21no—
383C4⋊C4×D59C2311yescharacteristic
384C4⋊C4×D59C2311yescharacteristic
385C4⋊C4×D59C2311yescharacteristic, complemented
386C2×(C2×D59)⋊C4—21no—
387C2×(C2×D59)⋊C4—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C42×D59—21no—
393#14273661C2311yescharacteristic, complemented
394#14273661C2311yescharacteristic, complemented
395#14273660C2311yescharacteristic, complemented
396#14273660C2311yescharacteristic, complemented
397#14273659C2311yescharacteristic, complemented
398#14273658C2311yescharacteristic, complemented
399#14273658C2311yescharacteristic, complemented
400#14273658C2311yescharacteristic, complemented
401#14273658C2311yescharacteristic, complemented
402C4⋊(C59⋊C8)C2311yescharacteristic, complemented
403Dic59⋊C8C2311yescharacteristic, complemented
404Dic59⋊C8C2311yescharacteristic, complemented
405#14273652C2311yescharacteristic, complemented
406#14273651C2311yescharacteristic, complemented
407#14273651C2311yescharacteristic, complemented
408#14273651C2311yescharacteristic, complemented
409#14273650C2311yescharacteristic, complemented
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic, complemented
417#14273649C2311yescharacteristic, complemented
418#14273649C2311yescharacteristic, complemented
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic, complemented
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic, complemented
433#14273647C2311yescharacteristic, complemented
434#14273647C2311yescharacteristic, complemented
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic, complemented
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic, complemented
440(C2×D59)⋊C8C2311yescharacteristic, complemented
441#14273638C2311yescharacteristic, complemented
442#14273637C2311yescharacteristic, complemented
443C8×Dic59C2311yescharacteristic, complemented
444C2×#41×C59C2311yescharacteristic
445C22×D4×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic, complemented
447C2×D8×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×M16×C59C2311yescharacteristic
450C2×M16×C59C2311yescharacteristic, complemented
451#126×C59—21no—
452#125×C59C2311yescharacteristic, complemented
453#124×C59C2311yescharacteristic
454#123×C59—21no—
455#123×C59—21no—
456C22⋊Q8×C59C2311yescharacteristic
457#121×C59—21no—
458#121×C59—21no—
459#121×C59C2311yescharacteristic
460#121×C59C2311yescharacteristic
461#121×C59C2311yescharacteristic, complemented
462#120×C59—21no—
463C4×D4×C59—21no—
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic, complemented
467#117×C59C2311yescharacteristic
468C2×C4⋊C4×C59C2311yescharacteristic, complemented
469C2×C22⋊C4×C59—21no—
470#107×C59C2311yescharacteristic, complemented
471#107×C59C2311yescharacteristic, complemented
472#106×C59C2311yescharacteristic, complemented
473C4⋊C8×C59C2311yescharacteristic, complemented
474#103×C59C2311yescharacteristic, complemented
475#103×C59C2311yescharacteristic, complemented
476#103×C59C2311yescharacteristic, complemented
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic, complemented
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic, complemented
486C4×C8×C59C2311yescharacteristic, complemented
487C24×C59—21no—
488C23×D59—21no—
489C23×D59—21no—
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—44no—
496C23×D59—82no—
497C23×D59—82no—
498C23×D59C2×D411yescharacteristic
499#41×C59—22no—
500#41×C59—41no—
501C2×Q8×C59C2411yescharacteristic
502C2×D4×C59—22no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—41no—
509C2×D4×C59C2×D411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59C2411yescharacteristic
518C22×C4×C59C2411yescharacteristic
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⋊D59—21no—
532C2×C22⋊D59—44no—
533C2×C22⋊D59—82no—
534C2×C22⋊D59C2×D411yescharacteristic
535C2×C22⋊D59C2×D411yescharacteristic
536C2×C22⋊D59C2×D411yescharacteristic
537C2×C22⋊D59C2×D411yescharacteristic
538C22×Dic59—21no—
539C22×Dic59—21no—
540C22×Dic59—21no—
541C22×Dic59C2×D411yescharacteristic
542#11745689—22no—
543#11745689—22no—
544#11745689—22no—
545#11745689—41no—
546#11745687—22no—
547#11745687—22no—
548D4×D59—22no—
549D4×D59—22no—
550D4×D59—22no—
551D4×D59—22no—
552D4×D59—22no—
553D4×D59—22no—
554D4×D59—41no—
555D4×D59—41no—
556D4×D59—41no—
557D4×D59—44no—
558D4×D59—44no—
559D4×D59—44no—
560D4×D59—44no—
561D4×D59—82no—
562D4×D59—82no—
563D4×D59#4114yes—
564#11745685—22no—
565#11745685—22no—
566#11745685—44no—
567C2×D236—22no—
568C2×D236—22no—
569C2×D236—21no—
570C2×D236—21no—
571C2×D236—21no—
572C2×D236—21no—
573C2×D236—21no—
574C2×D236—21no—
575C2×D236—21no—
576C2×D236—21no—
577C2×D236—41no—
578C2×D236—41no—
579C2×D236—44no—
580C2×D236—82no—
581C2×D236C2×D411yescharacteristic
582C2×D236C2×D411yescharacteristic
583C2×D236C2411yescharacteristic
584C2×D236C2411yescharacteristic
585C2×D236C2411yescharacteristic
586C2×C4×D59—22no—
587C2×C4×D59—22no—
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59—21no—
595C2×C4×D59C2×D411yescharacteristic
596C2×C4×D59C2×D411yescharacteristic
597C2×C4×D59C2411yescharacteristic
598C2×C4×D59C2411yescharacteristic
599C2×C4×D59C2411yescharacteristic
600C2×Dic118—21no—
601C2×Dic118—21no—
602C2×Dic118C2×D411yescharacteristic
603C2×Dic118C2411yescharacteristic
604SD16×C59—41no—
605D8×C59—22no—
606D8×C59—41no—
607M16×C59—41no—
608M16×C59—41no—
609C2×C8×C59C2411yescharacteristic
610C2×C8×C59C2411yescharacteristic
611C2×C8×C59C2411yescharacteristic
612C2×C8×C59C2411yescharacteristic
613C4⋊C4×C59—21no—
614C4⋊C4×C59—21no—
615C4⋊C4×C59—21no—
616C4⋊C4×C59—21no—
617C4⋊C4×C59C2×D411yescharacteristic
618C4⋊C4×C59C2411yescharacteristic
619C4⋊C4×C59C2411yescharacteristic
620C4⋊C4×C59C2411yescharacteristic
621C4⋊C4×C59C2411yescharacteristic
622C22⋊C4×C59—21no—
623C22⋊C4×C59—21no—
624C22⋊C4×C59—21no—
625C22⋊C4×C59—21no—
626C22⋊C4×C59—21no—
627C22⋊C4×C59—21no—
628C22⋊C4×C59—21no—
629C22⋊C4×C59—21no—
630C22⋊C4×C59—21no—
631C22⋊C4×C59C2×D411yescharacteristic
632C22⋊C4×C59C2×D411yescharacteristic
633C42×C59—21no—
634C42×C59C2411yescharacteristic
635C22⋊Dic59—21no—
636C22⋊Dic59—21no—
637C22⋊Dic59—21no—
638C22⋊Dic59—21no—
639C22⋊Dic59—21no—
640C22⋊Dic59—21no—
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59C2×D411yescharacteristic
645C22⋊Dic59C2×D411yescharacteristic
646#11745672—41no—
647#11745670—22no—
648#11745670—41no—
649#11745669—22no—
650#11745669—41no—
651#11745669—41no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4C2×D411yescharacteristic
669(C2×D59)⋊C4C2×D411yescharacteristic
670(C2×D59)⋊C4C2×D411yescharacteristic
671(C2×D59)⋊C4C2×D411yescharacteristic
672(C2×D59)⋊C4C2×D411yescharacteristic
673(C2×D59)⋊C4C2×D411yescharacteristic
674C4⋊Dic59—21no—
675C4⋊Dic59—21no—
676C4⋊Dic59—21no—
677C4⋊Dic59—21no—
678C4⋊Dic59C2×D411yescharacteristic
679C4⋊Dic59C2411yescharacteristic
680C4⋊Dic59C2411yescharacteristic
681C4⋊Dic59C2411yescharacteristic
682C4⋊Dic59C2411yescharacteristic
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4C2×D411yescharacteristic
694Dic59⋊C4C2×D411yescharacteristic
695Dic59⋊C4C2×D411yescharacteristic
696Dic59⋊C4C2×D411yescharacteristic
697C4×Dic59—21no—
698C4×Dic59—21no—
699C4×Dic59—21no—
700C4×Dic59—21no—
701C4×Dic59—21no—
702C4×Dic59—21no—
703C4×Dic59—21no—
704C4×Dic59—21no—
705C4×Dic59—21no—
706C4×Dic59C2411yescharacteristic
707#11745664—41no—
708C2×C59⋊C8—41no—
709C2×C59⋊C8C2411yescharacteristic
710C2×C59⋊C8C2411yescharacteristic
711C2×C59⋊C8C2411yescharacteristic
712C2×C59⋊C8C2411yescharacteristic
713#11745660—22no—
714#11745660—41no—
715#11745660—41no—
716#11745659—22no—
717#11745659—22no—
718#11745659—41no—
719#11745659—41no—
720#11745659—41no—
721C8×D59—22no—
722C8×D59—22no—
723C8×D59—41no—
724C23×C59—21no—
725C23×C59—21no—
726C23×C59—21no—
727C23×C59—42no—
728C23×C59—42no—
729C23×C59—81no—
730C23×C59C22×D411yescharacteristic
731C23×C59C22×D411yescharacteristic
732C22×D59—21no—
733C22×D59—22no—
734C22×D59—24no—
735C22×D59—21no—
736C22×D59—21no—
737C22×D59—41no—
738C22×D59—41no—
739C22×D59—42no—
740C22×D59—42no—
741C22×D59—42no—
742C22×D59—42no—
743C22×D59—42no—
744C22×D59—42no—
745C22×D59—42no—
746C22×D59—42no—
747C22×D59—42no—
748C22×D59—81no—
749C22×D59—81no—
750C22×D59—81no—
751C22×D59—81no—
752C22×D59—81no—
753C22×D59—81no—
754C22×D59—81no—
755C22×D59—81no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—816no—
760C22×D59C22×D411yescharacteristic
761C22×D59C22×D411yescharacteristic
762C22×D59C22×D411yescharacteristic
763Q8×C59—21no—
764Q8×C59—21no—
765D4×C59—21no—
766D4×C59—21no—
767D4×C59—21no—
768D4×C59—21no—
769D4×C59—21no—
770D4×C59—41no—
771D4×C59—42no—
772D4×C59—42no—
773D4×C59—81no—
774D4×C59—81no—
775D4×C59—81no—
776D4×C59C2×#4112yes—
777C2×C4×C59—21no—
778C2×C4×C59—21no—
779C2×C4×C59—21no—
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—42no—
787C2×C4×C59—81no—
788C2×C4×C59—81no—
789C2×C4×C59—81no—
790C2×C4×C59C22×D411yescharacteristic
791C2×C4×C59C22×D411yescharacteristic
792C2×C4×C59C22×D411yescharacteristic
793C2×C4×C59C22×D411yescharacteristic
794C2×C4×C59C2511yescharacteristic
795C22⋊D59—22no—
796C22⋊D59—22no—
797C22⋊D59—24no—
798C22⋊D59—41no—
799C22⋊D59—41no—
800C22⋊D59—42no—
801C22⋊D59—42no—
802C22⋊D59—42no—
803C22⋊D59—42no—
804C22⋊D59—42no—
805C22⋊D59—42no—
806C22⋊D59—81no—
807C22⋊D59—81no—
808C22⋊D59—81no—
809C22⋊D59—81no—
810C22⋊D59—81no—
811C22⋊D59—81no—
812C2×Dic59—22no—
813C2×Dic59—21no—
814C2×Dic59—21no—
815C2×Dic59—21no—
816C2×Dic59—21no—
817C2×Dic59—21no—
818C2×Dic59—42no—
819C2×Dic59—81no—
820C2×Dic59—81no—
821C2×Dic59C22×D411yescharacteristic
822C2×Dic59C22×D411yescharacteristic
823C2×Dic59C22×D411yescharacteristic
824C2×Dic59C22×D411yescharacteristic
825C2×Dic59C22×D411yescharacteristic
826D236—22no—
827D236—21no—
828D236—21no—
829D236—21no—
830D236—21no—
831D236—21no—
832D236—41no—
833D236—42no—
834D236—42no—
835D236—42no—
836D236—42no—
837D236—42no—
838D236—81no—
839D236—81no—
840D236—81no—
841D236C2×#4112yes—
842C4×D59—22no—
843C4×D59—21no—
844C4×D59—21no—
845C4×D59—21no—
846C4×D59—21no—
847C4×D59—22no—
848C4×D59—42no—
849C4×D59—42no—
850C4×D59—81no—
851C4×D59—81no—
852C4×D59—81no—
853C4×D59—81no—
854C4×D59—81no—
855C4×D59C2×#4112yes—
856C4×D59H(5,𝔽2)12yes—
857Dic118—22no—
858Dic118—21no—
859Dic118—21no—
860Dic118—81no—
861Dic118—81no—
862C8×C59—21no—
863C8×C59—21no—
864C8×C59—21no—
865C8×C59—21no—
866C59⋊C8—21no—
867C59⋊C8—21no—
868C59⋊C8—21no—
869C59⋊C8—21no—
870#61175—591nomaximal, Sylow
871C22×C59—21no—
872C22×C59—21no—
873C22×C59—21no—
874C22×C59—21no—
875C22×C59—21no—
876C22×C59—21no—
877C22×C59—22no—
878C22×C59—41no—
879C22×C59—41no—
880C22×C59—41no—
881C22×C59—41no—
882C22×C59—41no—
883C22×C59—41no—
884C22×C59—41no—
885C22×C59—41no—
886C22×C59—84no—
887C22×C59C23×D411yescharacteristic
888C2×D59—21no—
889C2×D59—21no—
890C2×D59—21no—
891C2×D59—21no—
892C2×D59—21no—
893C2×D59—21no—
894C2×D59—21no—
895C2×D59—21no—
896C2×D59—22no—
897C2×D59—44no—
898C2×D59—41no—
899C2×D59—41no—
900C2×D59—41no—
901C2×D59—41no—
902C2×D59—41no—
903C2×D59—41no—
904C2×D59—41no—
905C2×D59—41no—
906C2×D59—84no—
907C2×D59—84no—
908C2×D59—84no—
909C2×D59—84no—
910C2×D59—84no—
911C2×D59—162no—
912C2×D59—162no—
913C2×D59#54612yes—
914C4×C59—21no—
915C4×C59—21no—
916C4×C59—21no—
917C4×C59—21no—
918C4×C59—41no—
919C4×C59—41no—
920C4×C59—41no—
921C4×C59—41no—
922C4×C59—41no—
923C4×C59C22×#4111yescharacteristic
924C4×C59C2×H(5,𝔽2)11yescharacteristic
925Dic59—21no—
926Dic59—21no—
927Dic59—21no—
928Dic59—21no—
929Dic59—41no—
930Dic59—41no—
931Dic59—41no—
932Dic59—41no—
933Dic59—41no—
934Dic59#54612yes—
935#3493—591no—
936#3484—591no—
937#3325—591no—
938#3325—591no—
939#3324—591no—
940#3324—591no—
941#3323—591no—
942#3323—591no—
943#3322—591no—
944#3322D5911yescharacteristic, complemented
945#3319—591no—
946#3319—591no—
947#3318—591no—
948#3318—591no—
949#3311—591no—
950#3311—591no—
951#3310—591no—
952#3310—591no—
953#3136—591no—
954#3096—591no—
955#3093—591no—
956#3081—591no—
957#3062—591no—
958#3054—591no—
959#3045—591no—
960#3012—591no—
961#3003—591no—
962#2946—591no—
963#2930—591no—
964#2897—591no—
965C2×#418—591no—
966C2×C59—41no—
967C2×C59—42no—
968C2×C59—41no—
969C2×C59—81no—
970C2×C59—81no—
971C2×C59C2×#54611yescharacteristic
972C2×C59#358511yescharacteristic
973C2×C59#358511yescharacteristic
974D59—22no—
975D59—41no—
976D59—41no—
977D59—42no—
978D59—81no—
979D59—81no—
980C2×H(5,𝔽2)—591no—
981C23×D4—591no—
982C2×AGL(1,ℤ/8)—591no—
983C2×AGL(1,ℤ/8)—591no—
984C2×#135—591no—
985C2×#131—591no—
986C22×M16—591no—
987#556—591no—
988#556—591no—
989#556—1181no—
990#555—591no—
991#555—591no—
992#555—1181no—
993#553—591no—
994#553—1181no—
995#553C2×D5911yescharacteristic, complemented
996#552—591no—
997#552—591no—
998#552—1181no—
999#546—591no—
1000#546—591no—
1001#546—591no—
1002#546—1181no—
1003#546—1181no—
1004#546C2×D5911yescharacteristic
1005D42—591no—
1006D42—591no—
1007D42—591no—
1008D42—591no—
1009D42—1181no—
1010D42—1181no—
1011#544—591no—
1012#538—1181no—
1013#538—1181no—
1014#537—591no—
1015#535—591no—
1016#535—591no—
1017#534—1181no—
1018#534—1181no—
1019#529—1181no—
1020#529—1181no—
1021#525—591no—
1022#525—591no—
1023#525—591no—
1024C2×#120—1181no—
1025C2×#120—1181no—
1026#520—591no—
1027#520—591no—
1028#518—591no—
1029C2×#117—591no—
1030#490—591no—
1031#490—591no—
1032#489—591no—
1033#489—591no—
1034#488—591no—
1035#488C2×D5911yescharacteristic, complemented
1036#486—591no—
1037#486—591no—
1038#485—591no—
1039#485—591no—
1040#485—591no—
1041#485C2×D5911yescharacteristic, complemented
1042#482—591no—
1043#482—591no—
1044#482—591no—
1045#482—591no—
1046#482—591no—
1047#482—591no—
1048#482—591no—
1049#482—591no—
1050#481—591no—
1051#481—591no—
1052#480—591no—
1053#480C2×D5911yescharacteristic, complemented
1054#478—591no—
1055#478—591no—
1056#478—591no—
1057#478C2×D5911yescharacteristic, complemented
1058#476—591no—
1059#476—591no—
1060#474—591no—
1061#474—591no—
1062#470—591no—
1063#470—591no—
1064#469—591no—
1065#469—591no—
1066#469—591no—
1067#469C2×D5911yescharacteristic, complemented
1068#468—591no—
1069#468—591no—
1070#468—591no—
1071#468—591no—
1072#468—591no—
1073#468C2×D5911yescharacteristic, complemented
1074#466—591no—
1075#466—591no—
1076#465—591no—
1077#465—591no—
1078#464—591no—
1079#464—591no—
1080#463—591no—
1081#463C2×D5911yescharacteristic, complemented
1082#460—591no—
1083#460—591no—
1084#459—591no—
1085#459—591no—
1086#452—591no—
1087#452—591no—
1088#450—591no—
1089#450—591no—
1090#450—591no—
1091#450—591no—
1092#450—591no—
1093#450—591no—
1094#449—591no—
1095#449C2×D5911yescharacteristic, complemented
1096#447—591no—
1097#447—591no—
1098#447—591no—
1099#447—591no—
1100#447—591no—
1101#447C2×D5911yescharacteristic, complemented
1102#442—591no—
1103#442—591no—
1104#440—591no—
1105#440—591no—
1106C4×SD16—591no—
1107C4×SD16—591no—
1108C4×D8—591no—
1109C4×D8C2×D5911yescharacteristic, complemented
1110#436—591no—
1111#436—591no—
1112#436—591no—
1113#436C2×D5911yescharacteristic, complemented
1114#435—591no—
1115#435—591no—
1116#435—591no—
1117#435—591no—
1118#428—591no—
1119#428—591no—
1120#427—591no—
1121#424—591no—
1122#418—591no—
1123#418—591no—
1124#418—591no—
1125#418—591no—
1126#418—591no—
1127#418—591no—
1128#418—591no—
1129#418—591no—
1130#418—591no—
1131#418—591no—
1132#418—591no—
1133#418C2×D5911yescharacteristic, complemented
1134#417—591no—
1135#417—591no—
1136#417—591no—
1137#417C2×D5911yescharacteristic, complemented
1138#416—591no—
1139#416—591no—
1140#416—591no—
1141#416—591no—
1142C2×#102—591no—
1143C2×#102—591no—
1144C2×#102—591no—
1145C2×#102—591no—
1146C2×#102—591no—
1147C2×#102—591no—
1148#408—591no—
1149#407—591no—
1150#405—591no—
1151C59#6117511yescharacteristic, complemented, Sylow
1152C25—1181no—
1153H(5,𝔽2)—1184no—
1154H(5,𝔽2)—2362no—
1155C2×#41—591no—
1156C2×#41—591no—
1157C2×#41—591no—
1158C2×#41—591no—
1159C2×#41—1181no—
1160C2×#41C22×D5911yescharacteristic
1161C22×D4—591no—
1162C22×D4—591no—
1163C22×D4—591no—
1164C22×D4—591no—
1165C22×D4—591no—
1166C22×D4—591no—
1167C22×D4—591no—
1168C22×D4—1181no—
1169C22×D4—1181no—
1170C22×D4—1181no—
1171C22×D4—1181no—
1172C22×D4—1181no—
1173C22×D4—1184no—
1174C22×D4—1181no—
1175C22×D4—1181no—
1176C22×D4—1181no—
1177C22×D4—1181no—
1178C22×D4—1181no—
1179C22×D4—2362no—
1180C22×D4C22×D5911yescharacteristic
1181C23×C4—591no—
1182AGL(1,ℤ/8)—1184no—
1183AGL(1,ℤ/8)—2362no—
1184#135—2362no—
1185C2×Q16—591no—
1186C2×SD16—591no—
1187C2×SD16—591no—
1188C2×SD16—591no—
1189C2×SD16—591no—
1190C2×SD16—591no—
1191C2×SD16C22×D5911yescharacteristic, complemented
1192C2×D8—591no—
1193C2×D8—591no—
1194C2×D8—591no—
1195C2×D8C22×D5911yescharacteristic
1196C2×D8C22×D5911yescharacteristic
1197#131—2362no—
1198C2×M16—591no—
1199C2×M16—591no—
1200C2×M16—591no—
1201C2×M16—591no—
1202C2×M16—591no—
1203C2×M16—591no—
1204C2×M16—2362no—
1205C2×M16C22×D5911yescharacteristic
1206C2×M16C22×D5911yescharacteristic, complemented
1207C22×C8—591no—
1208C22×C8—591no—
1209C22×C8—591no—
1210C22×C8—591no—
1211C4⋊Q8—591no—
1212C4⋊Q8—591no—
1213C4⋊Q8—1181no—
1214#127—591no—
1215#127—591no—
1216#127—1181no—
1217#126—21no—
1218#126—1181no—
1219#126—1181no—
1220#126—1181no—
1221#126—1181no—
1222#126—1181no—
1223#126—1181no—
1224#126—1181no—
1225#125—591no—
1226#125—1181no—
1227#125—1181no—
1228#125—1181no—
1229#125C22×D5911yescharacteristic, complemented
1230#124—591no—
1231#124—1181no—
1232#124—1181no—
1233#124—1181no—
1234#124—1181no—
1235#124—1181no—
1236#124—1181no—
1237#124—1181no—
1238#124C22×D5911yescharacteristic
1239#123—21no—
1240#123—21no—
1241#123—591no—
1242#123—591no—
1243#123—1181no—
1244#123—1181no—
1245#123—1181no—
1246#123—1181no—
1247#123—1181no—
1248#123—1181no—
1249#123—1181no—
1250#123—1181no—
1251C22⋊Q8—591no—
1252C22⋊Q8—591no—
1253C22⋊Q8—591no—
1254C22⋊Q8—591no—
1255C22⋊Q8—591no—
1256C22⋊Q8—591no—
1257C22⋊Q8—591no—
1258C22⋊Q8—1181no—
1259C22⋊Q8—1181no—
1260C22⋊Q8—1181no—
1261C22⋊Q8C22×D5911yescharacteristic
1262#121—21no—
1263#121—21no—
1264#121—591no—
1265#121—591no—
1266#121—591no—
1267#121—591no—
1268#121—591no—
1269#121—591no—
1270#121—591no—
1271#121—591no—
1272#121—591no—
1273#121—1181no—
1274#121—1181no—
1275#121—1181no—
1276#121—1181no—
1277#121—1181no—
1278#121—1181no—
1279#121—1181no—
1280#121—1181no—
1281#121—1181no—
1282#121—1181no—
1283#121—1181no—
1284#121—1181no—
1285#121—1181no—
1286#121—1181no—
1287#121—1181no—
1288#121C22×D5911yescharacteristic
1289#121C22×D5911yescharacteristic
1290#121C22×D5911yescharacteristic, complemented
1291#120—21no—
1292#120—591no—
1293#120—591no—
1294#120—1181no—
1295#120—1181no—
1296#120—1181no—
1297#120—1181no—
1298#120—1181no—
1299#120—1181no—
1300#120—1181no—
1301#120—1181no—
1302#120—1181no—
1303#120—1181no—
1304#120—1181no—
1305#120—1181no—
1306#120—1181no—
1307#120—1181no—
1308#120—1181no—
1309#120—1181no—
1310#120—1181no—
1311C4×Q8—591no—
1312C4×Q8—591no—
1313C4×Q8—1181no—
1314C4×Q8—1181no—
1315C4×Q8—1181no—
1316C4×D4—21no—
1317C4×D4—591no—
1318C4×D4—591no—
1319C4×D4—591no—
1320C4×D4—591no—
1321C4×D4—591no—
1322C4×D4—591no—
1323C4×D4—591no—
1324C4×D4—1181no—
1325C4×D4—1181no—
1326C4×D4—1181no—
1327C4×D4—1181no—
1328C4×D4—1181no—
1329C4×D4—1181no—
1330C4×D4—1181no—
1331C4×D4—1181no—
1332C4×D4—1181no—
1333C4×D4—1181no—
1334C4×D4—1181no—
1335C4×D4—1181no—
1336C4×D4C22×D5911yescharacteristic
1337C4×D4C22×D5911yescharacteristic
1338C4×D4C22×D5911yescharacteristic, complemented
1339#117—591no—
1340#117—591no—
1341#117—591no—
1342#117—591no—
1343#117—591no—
1344#117—591no—
1345#117—591no—
1346#117—591no—
1347#117—1181no—
1348#117—1181no—
1349#117—1181no—
1350#117—1181no—
1351#117—1181no—
1352#117—1181no—
1353#117—1181no—
1354#117C22×D5911yescharacteristic
1355C2×C4⋊C4—591no—
1356C2×C4⋊C4—591no—
1357C2×C4⋊C4—591no—
1358C2×C4⋊C4—1181no—
1359C2×C4⋊C4C22×D5911yescharacteristic, complemented
1360C2×C22⋊C4—21no—
1361C2×C22⋊C4—1181no—
1362C2×C22⋊C4—1181no—
1363C2×C22⋊C4—1181no—
1364C2×C22⋊C4—1181no—
1365C2×C22⋊C4—1181no—
1366C2×C22⋊C4—1181no—
1367C2×C42—1181no—
1368#107—591no—
1369#107—591no—
1370#107—591no—
1371#107—591no—
1372#107C22×D5911yescharacteristic, complemented
1373#107C22×D5911yescharacteristic, complemented
1374#106—591no—
1375#106—591no—
1376#106—591no—
1377#106—591no—
1378#106—591no—
1379#106C22×D5911yescharacteristic, complemented
1380C4⋊C8—591no—
1381C4⋊C8—591no—
1382C4⋊C8—591no—
1383C4⋊C8C22×D5911yescharacteristic, complemented
1384#103—591no—
1385#103—591no—
1386#103—591no—
1387#103—591no—
1388#103—591no—
1389#103C22×D5911yescharacteristic, complemented
1390#103C22×D5911yescharacteristic, complemented
1391#103C22×D5911yescharacteristic, complemented
1392#102—591no—
1393#102—591no—
1394#102—591no—
1395#102—591no—
1396#102—591no—
1397#102—591no—
1398#102—591no—
1399#102—591no—
1400#102—591no—
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102—591no—
1406#102—591no—
1407#102—591no—
1408#102—591no—
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#102C22×D5911yescharacteristic
1418#102C22×D5911yescharacteristic
1419#102C22×D5911yescharacteristic
1420#102C22×D5911yescharacteristic
1421#102C22×D5911yescharacteristic
1422#102C22×D5911yescharacteristic
1423#102C22×D5911yescharacteristic, complemented
1424C22⋊C8—591no—
1425C22⋊C8—591no—
1426C22⋊C8—591no—
1427C22⋊C8—591no—
1428C22⋊C8—591no—
1429C22⋊C8—591no—
1430C22⋊C8C22×D5911yescharacteristic
1431C22⋊C8C22×D5911yescharacteristic, complemented
1432#97—591no—
1433#97—591no—
1434C4×C8—591no—
1435C4×C8C22×D5911yescharacteristic, complemented
1436C24—21no—
1437C24—591no—
1438C24—1181no—
1439C24—1181no—
1440C24—1181no—
1441C24—1181no—
1442C24—1181no—
1443C24—1181no—
1444C24—1181no—
1445C24—4722no—
1446C24—4722no—
1447C24—2364no—
1448#41—22no—
1449#41—41no—
1450#41—1182no—
1451#41—1182no—
1452#41—1182no—
1453#41—1182no—
1454#41—1182no—
1455#41—1182no—
1456#41—1182no—
1457#41—2364no—
1458#41—2361no—
1459C2×Q8—591no—
1460C2×Q8—591no—
1461C2×Q8—1181no—
1462C2×Q8—1181no—
1463C2×Q8C23×D5911yescharacteristic
1464C2×D4—22no—
1465C2×D4—21no—
1466C2×D4—21no—
1467C2×D4—21no—
1468C2×D4—21no—
1469C2×D4—21no—
1470C2×D4—41no—
1471C2×D4—594no—
1472C2×D4—591no—
1473C2×D4—591no—
1474C2×D4—591no—
1475C2×D4—591no—
1476C2×D4—591no—
1477C2×D4—591no—
1478C2×D4—591no—
1479C2×D4—591no—
1480C2×D4—591no—
1481C2×D4—1182no—
1482C2×D4—1182no—
1483C2×D4—1181no—
1484C2×D4—1181no—
1485C2×D4—1181no—
1486C2×D4—1181no—
1487C2×D4—1182no—
1488C2×D4—1182no—
1489C2×D4—1182no—
1490C2×D4—1181no—
1491C2×D4—1181no—
1492C2×D4—1181no—
1493C2×D4—1181no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—1182no—
1498C2×D4—1182no—
1499C2×D4—1182no—
1500C2×D4—1181no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—4722no—
1511C2×D4—4722no—
1512C2×D4—4722no—
1513C2×D4—4722no—
1514C2×D4—2361no—
1515C2×D4—2361no—
1516C2×D4—2364no—
1517C2×D4—2361no—
1518C2×D4—2361no—
1519C2×D4—2361no—
1520C2×D4—2364no—
1521C2×D4—2364no—
1522C2×D4—2364no—
1523C2×D4—2364no—
1524C2×D4—2364no—
1525C2×D4D4×D5911yescharacteristic
1526C2×D4C23×D5911yescharacteristic
1527C2×D4C23×D5911yescharacteristic
1528C2×D4C23×D5911yescharacteristic
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—21no—
1532C22×C4—21no—
1533C22×C4—591no—
1534C22×C4—591no—
1535C22×C4—591no—
1536C22×C4—591no—
1537C22×C4—591no—
1538C22×C4—591no—
1539C22×C4—1182no—
1540C22×C4—1182no—
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×C4C23×D5911yescharacteristic
1552C22×C4C23×D5911yescharacteristic
1553Q16—2361no—
1554SD16—41no—
1555SD16—1182no—
1556SD16—1182no—
1557SD16—2361no—
1558SD16—2361no—
1559SD16—2361no—
1560D8—22no—
1561D8—41no—
1562D8—1182no—
1563D8—2361no—
1564D8—2361no—
1565M16—41no—
1566M16—41no—
1567M16—1182no—
1568M16—1182no—
1569M16—2361no—
1570M16—2361no—
1571M16—2361no—
1572M16—2361no—
1573C2×C8—591no—
1574C2×C8—591no—
1575C2×C8—591no—
1576C2×C8—591no—
1577C2×C8—1182no—
1578C2×C8—1182no—
1579C2×C8—2361no—
1580C2×C8—2361no—
1581C2×C8C23×D5911yescharacteristic
1582C2×C8C23×D5911yescharacteristic
1583C2×C8C23×D5911yescharacteristic
1584C2×C8C23×D5911yescharacteristic
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—591no—
1590C4⋊C4—591no—
1591C4⋊C4—591no—
1592C4⋊C4—591no—
1593C4⋊C4—591no—
1594C4⋊C4—591no—
1595C4⋊C4—591no—
1596C4⋊C4—591no—
1597C4⋊C4—591no—
1598C4⋊C4—1181no—
1599C4⋊C4—1181no—
1600C4⋊C4—1181no—
1601C4⋊C4—1181no—
1602C4⋊C4—1181no—
1603C4⋊C4—1181no—
1604C4⋊C4—1181no—
1605C4⋊C4—1181no—
1606C4⋊C4—1181no—
1607C4⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4—1181no—
1610C4⋊C4—1181no—
1611C4⋊C4—1181no—
1612C4⋊C4D4×D5911yescharacteristic
1613C4⋊C4C23×D5911yescharacteristic
1614C4⋊C4C23×D5911yescharacteristic
1615C4⋊C4C23×D5911yescharacteristic
1616C4⋊C4C23×D5911yescharacteristic
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—591no—
1627C22⋊C4—591no—
1628C22⋊C4—591no—
1629C22⋊C4—591no—
1630C22⋊C4—591no—
1631C22⋊C4—591no—
1632C22⋊C4—591no—
1633C22⋊C4—591no—
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—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1660C22⋊C4D4×D5911yescharacteristic
1661C42—21no—
1662C42—591no—
1663C42—1181no—
1664C42—1181no—
1665C42—1181no—
1666C42—1181no—
1667C42—1181no—
1668C42—1181no—
1669C42—1181no—
1670C42—1181no—
1671C42—1181no—
1672C42C23×D5911yescharacteristic
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—42no—
1677C23—42no—
1678C23—81no—
1679C23—591no—
1680C23—591no—
1681C23—591no—
1682C23—1184no—
1683C23—1182no—
1684C23—1181no—
1685C23—1181no—
1686C23—1181no—
1687C23—4721no—
1688C23—4721no—
1689C23—4721no—
1690C23—4721no—
1691C23—4721no—
1692C23—4721no—
1693C23—4721no—
1694C23—4721no—
1695C23—4721no—
1696C23—4721no—
1697C23—4721no—
1698C23—47216no—
1699C23—2361no—
1700C23—2361no—
1701C23—2362no—
1702C23—2362no—
1703C23—2362no—
1704C23—2362no—
1705C23—2362no—
1706C23—2362no—
1707C23—2362no—
1708C23—2362no—
1709C23—2362no—
1710C23C2×D4×D5911yescharacteristic
1711C23C2×D4×D5911yescharacteristic
1712Q8—21no—
1713Q8—21no—
1714Q8—1182no—
1715Q8—1181no—
1716Q8—1181no—
1717Q8—4721no—
1718Q8—4721no—
1719D4—21no—
1720D4—21no—
1721D4—21no—
1722D4—21no—
1723D4—21no—
1724D4—41no—
1725D4—42no—
1726D4—42no—
1727D4—81no—
1728D4—81no—
1729D4—81no—
1730D4—592no—
1731D4—1182no—
1732D4—1184no—
1733D4—1182no—
1734D4—1182no—
1735D4—1181no—
1736D4—1181no—
1737D4—1181no—
1738D4—1181no—
1739D4—1181no—
1740D4—4721no—
1741D4—4721no—
1742D4—4721no—
1743D4—4721no—
1744D4—4721no—
1745D4—4721no—
1746D4—4721no—
1747D4—4721no—
1748D4—4721no—
1749D4—2361no—
1750D4—2362no—
1751D4—2362no—
1752D4—2362no—
1753D4—2362no—
1754D4—2362no—
1755D4—2362no—
1756D4—2361no—
1757D4—2361no—
1758D4—2362no—
1759D4—2362no—
1760D4—2362no—
1761D4—2362no—
1762D4—2362no—
1763D4#41×D5912yes—
1764C2×C4—21no—
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—42no—
1774C2×C4—81no—
1775C2×C4—81no—
1776C2×C4—81no—
1777C2×C4—591no—
1778C2×C4—592no—
1779C2×C4—592no—
1780C2×C4—591no—
1781C2×C4—591no—
1782C2×C4—591no—
1783C2×C4—591no—
1784C2×C4—1182no—
1785C2×C4—1182no—
1786C2×C4—1182no—
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—4721no—
1802C2×C4—4721no—
1803C2×C4—2362no—
1804C2×C4—2362no—
1805C2×C4—2362no—
1806C2×C4C2×D4×D5911yescharacteristic
1807C2×C4C2×D4×D5911yescharacteristic
1808C2×C4C2×D4×D5911yescharacteristic
1809C2×C4C2×D4×D5911yescharacteristic
1810C2×C4C24×D5911yescharacteristic
1811C8—21no—
1812C8—21no—
1813C8—21no—
1814C8—21no—
1815C8—1181no—
1816C8—1181no—
1817C8—1181no—
1818C8—1181no—
1819C22—21no—
1820C22—21no—
1821C22—22no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—21no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—84no—
1835C22—592no—
1836C22—1181no—
1837C22—1181no—
1838C22—1181no—
1839C22—1181no—
1840C22—1182no—
1841C22—1181no—
1842C22—1181no—
1843C22—1181no—
1844C22—1181no—
1845C22—9442no—
1846C22—9442no—
1847C22—4724no—
1848C22—4724no—
1849C22—4724no—
1850C22—4724no—
1851C22—4724no—
1852C22—2364no—
1853C22—2361no—
1854C22—2361no—
1855C22—2361no—
1856C22—2361no—
1857C22—2361no—
1858C22—2361no—
1859C22—2361no—
1860C22—2361no—
1861C22C22×D4×D5911yescharacteristic
1862C4—21no—
1863C4—21no—
1864C4—21no—
1865C4—21no—
1866C4—41no—
1867C4—41no—
1868C4—41no—
1869C4—41no—
1870C4—41no—
1871C4—592no—
1872C4—1181no—
1873C4—1181no—
1874C4—1181no—
1875C4—1181no—
1876C4—2361no—
1877C4—2361no—
1878C4—2361no—
1879C4—2361no—
1880C4—2361no—
1881C4C2×#41×D5911yescharacteristic
1882C4H(5,𝔽2)×D5911yescharacteristic
1883C2—41no—
1884C2—41no—
1885C2—42no—
1886C2—81no—
1887C2—81no—
1888C2—1182no—
1889C2—4721no—
1890C2—4721no—
1891C2—2361no—
1892C2—2361no—
1893C2—2362no—
1894C2#546×D5911yescharacteristic
1895C2#2143887111yescharacteristic
1896C2#2143887311yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3322C2
socleC22×C59C23×D4
hypercenter#3322D59
hypocenterC59#61175
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. #21437812C2semidirect
2. #21437726C2semidirect
3. #21436340C2semidirect
4. #21436333C2semidirect
5. #21436328C2semidirect
6. #21436323C2semidirect
7. #21436313C2semidirect
8. #21436311C2semidirect
9. #21436303C2semidirect
10. #21436259C2semidirect
11. #21436256C2semidirect
12. #21436231C2semidirect
13. #21436230C2semidirect
14. #21436135C2semidirect
15. #21436132C2semidirect
16. #21436115C2semidirect
17. #21436114C2semidirect
18. #21434449C2semidirect
19. #21434047C2semidirect
20. #21434028C2semidirect
21. #21433924C2semidirect
22. #21433773C2semidirect
23. #21433700C2semidirect
24. #21433636C2semidirect
25. #21433398C2semidirect
26. #21433320C2semidirect
27. #21432921C2semidirect
28. #21432796C2semidirect
29. #21432620C2semidirect
30. #418×D59C2semidirect
31. C59×#3322C2semidirect
35. C2×#14273751C22semidirect
36. C2×#14273748C22semidirect
37. C2×#14273735C22semidirect
38. C2×M16×D59C22semidirect
39. #16838122C22semidirect
40. #16838120C22semidirect
42. #16838117C22semidirect
44. #16838116C22semidirect
46. #16838099C22semidirect
47. #16838090C22semidirect
49. #16838087C22semidirect
61. #16838032C22semidirect
64. #16837981C22semidirect
72. #16837912C22semidirect
76. #16837883C22semidirect
77. #16837881C22semidirect
79. #117×D59C22semidirect
80. #16837768C22semidirect
81. #16837765C22semidirect
82. #16837763C22semidirect
83. #16837761C22semidirect
84. #16837758C22semidirect
85. #16837749C22semidirect
86. #16837747C22semidirect
87. #16837742C22semidirect
88. #16837741C22semidirect
89. #16837740C22semidirect
90. #16837729C22semidirect
91. #16837729C22semidirect
92. #16837728C22semidirect
93. #16837727C22semidirect
94. #16837727C22semidirect
95. #16837726C22semidirect
96. #16837724C22semidirect
97. #16837723C22semidirect
98. #16837720C22semidirect
99. #16837719C22semidirect
100. #16837717C22semidirect
101. #16837705C22semidirect
102. #16837700C22semidirect
103. #16837699C22semidirect
104. #16837692C22semidirect
105. #16837691C22semidirect
106. #16837683C22semidirect
107. #16837680C22semidirect
108. #16837659C22semidirect
109. #16837658C22semidirect
110. #16837654C22semidirect
111. #16837654C22semidirect
112. #16837653C22semidirect
113. #16837649C22semidirect
114. #16837648C22semidirect
115. #16837648C22semidirect
116. #16837647C22semidirect
117. #16837645C22semidirect
118. #16837636C22semidirect
119. #16837635C22semidirect
120. #16837632C22semidirect
121. #16837629C22semidirect
122. #16837627C22semidirect
123. #16837621C22semidirect
124. #16837619C22semidirect
125. #16837603C22semidirect
126. #16837601C22semidirect
127. #16837597C22semidirect
128. #16837595C22semidirect
129. #16837567C22semidirect
130. #16837564C22semidirect
131. #16837555C22semidirect
132. #16837555C22semidirect
133. #16837554C22semidirect
134. #16837554C22semidirect
135. #16837554C22semidirect
136. #16837553C22semidirect
137. #16837546C22semidirect
138. #16837535C22semidirect
139. #16837535C22semidirect
140. #16837534C22semidirect
141. #16837534C22semidirect
142. #16837534C22semidirect
143. #16837514C22semidirect
144. #16837512C22semidirect
145. #16837502C22semidirect
146. #16837501C22semidirect
147. #16837493C22semidirect
148. C4×#11745660C22semidirect
149. #16837482C22semidirect
150. #16837481C22semidirect
151. #16837478C22semidirect
152. #16837478C22semidirect
153. #16837476C22semidirect
154. #16837474C22semidirect
155. #16837472C22semidirect
156. #16837470C22semidirect
157. #16837443C22semidirect
158. #16837441C22semidirect
159. #16837439C22semidirect
160. #16837427C22semidirect
161. #16837408C22semidirect
162. #16837408C22semidirect
163. #16837407C22semidirect
164. #16837406C22semidirect
166. #16837405C22semidirect
167. #16837405C22semidirect
168. #16837405C22semidirect
169. #16837405C22semidirect
170. #16837405C22semidirect
171. #16837405C22semidirect
172. #16837402C22semidirect
173. #16837402C22semidirect
174. #16837402C22semidirect
175. #16837398C22semidirect
176. #16837397C22semidirect
177. #16837397C22semidirect
178. #16837395C22semidirect
179. C2×#14273647C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. #16837367C22semidirect
186. #16837364C22semidirect
187. #16837356C22semidirect
188. C59×#553C22semidirect
190. C59×#488C22semidirect
191. C59×#485C22semidirect
192. C59×#480C22semidirect
193. C59×#478C22semidirect
194. C59×#469C22semidirect
195. C59×#468C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
198. C59×#447C22semidirect
199. C4×D8×C59C22semidirect
200. C59×#436C22semidirect
201. C59×#418C22semidirect
202. C59×#417C22semidirect
234. C2×#11745672C23semidirect
237. C2×#11745660C23semidirect
242. C2×#11745669C23semidirect
249. C2×#11745659C23semidirect
251. C22×C59⋊C8C23semidirect
254. C2×C8×D59C23semidirect
255. #14273727C23semidirect
257. #14273726C23semidirect
269. #14273718C23semidirect
292. #14273707C23semidirect
294. #14273706C23semidirect
323. #14273698C23semidirect
344. C4×Dic118C23semidirect
347. #14273692C23semidirect
352. D4×Dic59C23semidirect
370. #14273686C23semidirect
376. #14273685C23semidirect
385. C4⋊C4×D59C23semidirect
393. #14273661C23semidirect
394. #14273661C23semidirect
395. #14273660C23semidirect
396. #14273660C23semidirect
397. #14273659C23semidirect
398. #14273658C23semidirect
399. #14273658C23semidirect
400. #14273658C23semidirect
401. #14273658C23semidirect
402. C4⋊(C59⋊C8)C23semidirect
403. Dic59⋊C8C23semidirect
404. Dic59⋊C8C23semidirect
405. #14273652C23semidirect
406. #14273651C23semidirect
407. #14273651C23semidirect
408. #14273651C23semidirect
409. #14273650C23semidirect
416. #14273649C23semidirect
417. #14273649C23semidirect
418. #14273649C23semidirect
425. #14273648C23semidirect
432. #14273647C23semidirect
433. #14273647C23semidirect
434. #14273647C23semidirect
436. C22⋊(C59⋊C8)C23semidirect
439. (C2×D59)⋊C8C23semidirect
440. (C2×D59)⋊C8C23semidirect
441. #14273638C23semidirect
442. #14273637C23semidirect
443. C8×Dic59C23semidirect
446. C2×SD16×C59C23semidirect
450. C2×M16×C59C23semidirect
452. #125×C59C23semidirect
461. #121×C59C23semidirect
466. C4×D4×C59C23semidirect
468. C2×C4⋊C4×C59C23semidirect
470. #107×C59C23semidirect
471. #107×C59C23semidirect
472. #106×C59C23semidirect
473. C4⋊C8×C59C23semidirect
474. #103×C59C23semidirect
475. #103×C59C23semidirect
476. #103×C59C23semidirect
483. #102×C59C23semidirect
485. C22⋊C8×C59C23semidirect
486. C4×C8×C59C23semidirect
944. #3322D59semidirect
995. #553C2×D59semidirect
1035. #488C2×D59semidirect
1041. #485C2×D59semidirect
1053. #480C2×D59semidirect
1057. #478C2×D59semidirect
1067. #469C2×D59semidirect
1073. #468C2×D59semidirect
1081. #463C2×D59semidirect
1095. #449C2×D59semidirect
1101. #447C2×D59semidirect
1109. C4×D8C2×D59semidirect
1113. #436C2×D59semidirect
1133. #418C2×D59semidirect
1137. #417C2×D59semidirect
1151. C59#61175semidirect
1191. C2×SD16C22×D59semidirect
1206. C2×M16C22×D59semidirect
1229. #125C22×D59semidirect
1290. #121C22×D59semidirect
1338. C4×D4C22×D59semidirect
1359. C2×C4⋊C4C22×D59semidirect
1372. #107C22×D59semidirect
1373. #107C22×D59semidirect
1379. #106C22×D59semidirect
1383. C4⋊C8C22×D59semidirect
1389. #103C22×D59semidirect
1390. #103C22×D59semidirect
1391. #103C22×D59semidirect
1423. #102C22×D59semidirect
1431. C22⋊C8C22×D59semidirect
1435. C4×C8C22×D59semidirect

Maximal subgroups

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

subgroupindex
#214378122
#214377262
#214363402
#214363332
#214363282
#214363232
#214363132
#214363112
#214363032
#214362592
#214362562
#214362312
#214362302
#214361352
#214361322
#214361152
#214361142
#214344492
#214340472
#214340282
#214339242
#214337732
#214337002
#214336362
#214333982
#214333202
#214329212
#214327962
#214326202
#418×D592
C59×#33222
#6117559