Finite Group Databasebeta

← #29466125

Subgroups — #29466125

Order 15104.

2102 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437800C211yesmaximal, characteristic, complemented
2#21437735C211yesmaximal, characteristic, complemented
3#21436412C211yesmaximal, characteristic, complemented
4#21436410C211yesmaximal, characteristic, complemented
5#21436404C211yesmaximal, characteristic, complemented
6#21436394C211yesmaximal, characteristic, complemented
7#21436310C211yesmaximal, characteristic, complemented
8#21436309C211yesmaximal, characteristic, complemented
9#21436291C211yesmaximal, characteristic, complemented
10#21436290C211yesmaximal, characteristic, complemented
11#21436191C211yesmaximal, characteristic, complemented
12#21436188C211yesmaximal, characteristic, complemented
13#21436179C211yesmaximal, characteristic, complemented
14#21436178C211yesmaximal, characteristic, complemented
15#21436067C211yesmaximal, characteristic, complemented
16#21436063C211yesmaximal, characteristic, complemented
17#21436062C211yesmaximal, characteristic, complemented
18#21434462C211yesmaximal, characteristic, complemented
19#21434060C211yesmaximal, characteristic, complemented
20#21434020C211yesmaximal, characteristic, complemented
21#21433924C211yesmaximal, characteristic, complemented
22#21433780C211yesmaximal, characteristic, complemented
23#21433700C211yesmaximal, characteristic, complemented
24#21433641C211yesmaximal, characteristic, complemented
25#21433398C211yesmaximal, characteristic, complemented
26#21433334C211yesmaximal, characteristic, complemented
27#21432925C211yesmaximal, characteristic, complemented
28#21432794C211yesmaximal, characteristic, complemented
29#21432618C211yesmaximal, characteristic, complemented
30#417×D59C211yesmaximal, characteristic, complemented
31C59×#3307C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C2×#14273756C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic
36C2×#14273748C2211yescharacteristic
37C2×#14273733C2211yescharacteristic
38C2×M16×D59C2211yescharacteristic, complemented
39#16838111—21no—
40#16838109C2211yescharacteristic, complemented
41#16838107C2211yescharacteristic, complemented
42#16838104C2211yescharacteristic, complemented
43#16838095—21no—
44#16838091C2211yescharacteristic, complemented
45#16838090C2211yescharacteristic, complemented
46#16838088—21no—
47#16838057C2211yescharacteristic, complemented
48#16838055C2211yescharacteristic
49#16838054C2211yescharacteristic
50#16838053—21no—
51#16838052C2211yescharacteristic, complemented
52#16838051C2211yescharacteristic
53#16838050—21no—
54#16838050—21no—
55#16838048C2211yescharacteristic
56#16838047C2211yescharacteristic
57#16838044—21no—
58#16838043C2211yescharacteristic
59#16838041—21no—
60#16838040C2211yescharacteristic
61#16838032C2211yescharacteristic, complemented
62#16837995—21no—
63#16837993—21no—
64#16837981C2211yescharacteristic
65#16837977C2211yescharacteristic
66#16837975C2211yescharacteristic
67#16837963—21no—
68#16837960—21no—
69#16837915C2211yescharacteristic
70#16837912—21no—
71#16837912C2211yescharacteristic, complemented
72#16837911—21no—
73#16837911C2211yescharacteristic
74C2×#14273712—21no—
75#123×D59—21no—
76#16837882C2211yescharacteristic
77#16837881C2211yescharacteristic, complemented
78#16837874C2211yescharacteristic
79C2×C4⋊C4×D59C2211yescharacteristic, complemented
80#16837769C2211yescharacteristic, complemented
81#16837763C2211yescharacteristic, complemented
82#16837762C2211yescharacteristic, complemented
83#16837759C2211yescharacteristic, complemented
84#16837758C2211yescharacteristic, complemented
85#16837752C2211yescharacteristic, complemented
86#16837751C2211yescharacteristic, complemented
87#16837745C2211yescharacteristic, complemented
88#16837743C2211yescharacteristic, complemented
89#16837742C2211yescharacteristic, complemented
90#16837738C2211yescharacteristic, complemented
91#16837736C2211yescharacteristic, complemented
92#16837736C2211yescharacteristic, complemented
93#16837736C2211yescharacteristic, complemented
94#16837734C2211yescharacteristic, complemented
95#16837730C2211yescharacteristic, complemented
96#16837730C2211yescharacteristic, complemented
97#16837722C2211yescharacteristic, complemented
98#16837722C2211yescharacteristic, complemented
99#16837716C2211yescharacteristic, complemented
100#16837715C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837700C2211yescharacteristic, complemented
103#16837699C2211yescharacteristic, complemented
104#16837692C2211yescharacteristic, complemented
105#16837691C2211yescharacteristic, complemented
106#16837683C2211yescharacteristic, complemented
107#16837680C2211yescharacteristic, complemented
108#16837661C2211yescharacteristic, complemented
109#16837659C2211yescharacteristic, complemented
110#16837658C2211yescharacteristic, complemented
111#16837658C2211yescharacteristic, complemented
112#16837654C2211yescharacteristic, complemented
113#16837653C2211yescharacteristic, complemented
114#16837649C2211yescharacteristic, complemented
115#16837648C2211yescharacteristic, complemented
116#16837646C2211yescharacteristic, complemented
117#16837645C2211yescharacteristic, complemented
118#16837645C2211yescharacteristic, complemented
119#16837643C2211yescharacteristic, complemented
120#16837642C2211yescharacteristic, complemented
121#16837630C2211yescharacteristic, complemented
122#16837627C2211yescharacteristic, complemented
123#16837625C2211yescharacteristic, complemented
124#16837619C2211yescharacteristic, complemented
125#16837617C2211yescharacteristic, complemented
126#16837611C2211yescharacteristic, complemented
127#16837609C2211yescharacteristic, complemented
128#16837605C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837567C2211yescharacteristic, complemented
131#16837566C2211yescharacteristic, complemented
132#16837565C2211yescharacteristic, complemented
133#16837564C2211yescharacteristic, complemented
134#16837564C2211yescharacteristic, complemented
135#16837555C2211yescharacteristic, complemented
136#16837554C2211yescharacteristic, complemented
137#16837546C2211yescharacteristic, complemented
138#16837546C2211yescharacteristic, complemented
139#16837545C2211yescharacteristic, complemented
140#16837544C2211yescharacteristic, complemented
141#16837535C2211yescharacteristic, complemented
142#16837534C2211yescharacteristic, complemented
143#16837511C2211yescharacteristic, complemented
144#16837504C2211yescharacteristic, complemented
145#16837499C2211yescharacteristic, complemented
146#16837489C2211yescharacteristic, complemented
147C4×#11745670C2211yescharacteristic, complemented
148D8×Dic59C2211yescharacteristic, complemented
149C4×#11745669C2211yescharacteristic, complemented
150#16837480C2211yescharacteristic, complemented
151#16837479C2211yescharacteristic, complemented
152#16837477C2211yescharacteristic, complemented
153#16837477C2211yescharacteristic, complemented
154#16837475C2211yescharacteristic, complemented
155#16837473C2211yescharacteristic, complemented
156#16837471C2211yescharacteristic, complemented
157#16837441C2211yescharacteristic, complemented
158#16837441C2211yescharacteristic, complemented
159#16837439C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837409C2211yescharacteristic, complemented
162#16837406C2211yescharacteristic, complemented
163#16837405C2211yescharacteristic
164#16837405C2211yescharacteristic, complemented
165#16837404C2211yescharacteristic, complemented
166#16837403C2211yescharacteristic, complemented
167#16837403C2211yescharacteristic, complemented
168#16837402C2211yescharacteristic
169#16837402C2211yescharacteristic
170#16837402C2211yescharacteristic, complemented
171#16837402C2211yescharacteristic, complemented
172#16837402C2211yescharacteristic, complemented
173#16837401C2211yescharacteristic, complemented
174#16837400C2211yescharacteristic, complemented
175#16837400C2211yescharacteristic, complemented
176#16837397C2211yescharacteristic
177#16837397C2211yescharacteristic, complemented
178#16837395C2211yescharacteristic, complemented
179#103×D59C2211yescharacteristic, complemented
180#103×D59C2211yescharacteristic, complemented
181C2×#14273649C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic
183#102×D59C2211yescharacteristic
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic
186#16837364C2211yescharacteristic, complemented
187#16837359C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic, complemented
189C59×#547C2211yescharacteristic
190C59×#491C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#483C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#461C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203#14273773—24no—
204#14273773—42no—
205C2×#11745689C2311yescharacteristic
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745685—21no—
209C2×#11745685—21no—
210C2×#11745685—21no—
211C2×#11745685C2311yescharacteristic
212C2×#11745685C2311yescharacteristic
213C2×#11745687—21no—
214C2×#11745687—21no—
215C2×#11745687C2311yescharacteristic
216C2×#11745687C2311yescharacteristic
217#41×D59—24no—
218#41×D59—42no—
219C2×Q8×D59C2311yescharacteristic
220C22×D236—21no—
221C22×D236C2311yescharacteristic
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59C2311yescharacteristic
226C2×D4×D59C2311yescharacteristic
227C22×C4×D59—21no—
228C22×C4×D59—21no—
229C22×C4×D59C2311yescharacteristic
230#14273756—42no—
231#14273751—24no—
232#14273748—42no—
233C2×Dic236C2311yescharacteristic
234C2×#11745672C2311yescharacteristic
235C2×#11745672C2311yescharacteristic
236C2×#11745660C2311yescharacteristic
237C2×#11745660C2311yescharacteristic
238C2×#11745670C2311yescharacteristic
239C2×#11745670C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242#14273733—42no—
243C2×#11745664C2311yescharacteristic
244C2×#11745664C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249C2×#11745659C2311yescharacteristic
250M16×D59—42no—
251C2×C8×D59C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253C2×C8×D59C2311yescharacteristic
254#14273727C2311yescharacteristic
255#14273726—21no—
256#14273726—21no—
257#14273726C2311yescharacteristic
258#14273725C2311yescharacteristic
259#14273722—21no—
260#14273720—21no—
261#14273720—21no—
262#14273719—21no—
263#14273718—21no—
264#14273718—21no—
265#14273718C2311yescharacteristic
266#14273717—21no—
267#14273717—21no—
268#14273716C2311yescharacteristic
269#14273715C2311yescharacteristic
270#14273713—21no—
271#14273712—21no—
272#14273712—21no—
273#14273712—21no—
274#14273712—21no—
275#14273712—21no—
276#14273712—21no—
277#14273712—21no—
278#14273712—21no—
279#14273712—21no—
280#14273712—21no—
281#14273712D411yescharacteristic
282#14273711—21no—
283#14273711—21no—
284#14273710—21no—
285#14273710—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709—21no—
290#14273709—21no—
291#14273709—21no—
292#14273709—21no—
293#14273709D411yescharacteristic
294#14273708—21no—
295#14273708—21no—
296#14273707—21no—
297#14273707C2311yescharacteristic
298#14273707C2311yescharacteristic
299#14273707C2311yescharacteristic
300#14273706—21no—
301#14273706—21no—
302#14273706C2311yescharacteristic
303#14273706C2311yescharacteristic
304#14273706C2311yescharacteristic
305#14273705—21no—
306#14273705—21no—
307#14273705—21no—
308#14273705—21no—
309#14273705D411yescharacteristic
310#14273704—21no—
311#14273704—21no—
312#14273704—21no—
313#14273704—21no—
314#14273704D411yescharacteristic
315#14273703C2311yescharacteristic
316#14273703C2311yescharacteristic
317#14273702—21no—
318#14273702—21no—
319#14273702C2311yescharacteristic
320#14273701—21no—
321#14273701C2311yescharacteristic
322#14273700—21no—
323#14273700—21no—
324#14273700—21no—
325#14273700D411yescharacteristic
326#14273699—21no—
327#14273699—21no—
328#14273699—21no—
329#14273699—21no—
330#14273699D411yescharacteristic
331#14273698—21no—
332#14273698C2311yescharacteristic
333#14273698C2311yescharacteristic
334#14273697—21no—
335#14273697—21no—
336#14273697—21no—
337#14273697D411yescharacteristic
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695D411yescharacteristic
342C4×Dic118—21no—
343C4×Dic118C2311yescharacteristic
344#14273692C2311yescharacteristic
345C4×D236—21no—
346C4×D236C2311yescharacteristic
347C4×D236C2311yescharacteristic
348D4×Dic59—21no—
349D4×Dic59—21no—
350D4×Dic59—21no—
351D4×Dic59C2311yescharacteristic
352D4×Dic59C2311yescharacteristic
353#14273689—21no—
354#14273689C2311yescharacteristic
355C4×C22⋊D59—21no—
356C4×C22⋊D59—21no—
357C4×C22⋊D59—21no—
358C4×C22⋊D59C2311yescharacteristic
359C4×C22⋊D59C2311yescharacteristic
360(C22⋊D59)⋊C4—21no—
361(C22⋊D59)⋊C4—21no—
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4—21no—
365(C22⋊D59)⋊C4—21no—
366#14273685—21no—
367#14273685C2311yescharacteristic
368#14273685C2311yescharacteristic
369#14273685C2311yescharacteristic
370#14273684—21no—
371#14273684C2311yescharacteristic
372#14273683—21no—
373C2×C4⋊Dic59C2311yescharacteristic
374C2×C4⋊Dic59C2311yescharacteristic
375C2×Dic59⋊C4—21no—
376C2×Dic59⋊C4—21no—
377C2×Dic59⋊C4—21no—
378C4⋊C4×D59—21no—
379C4⋊C4×D59—21no—
380C4⋊C4×D59—21no—
381C4⋊C4×D59—21no—
382C4⋊C4×D59C2311yescharacteristic
383C4⋊C4×D59C2311yescharacteristic
384C4⋊C4×D59C2311yescharacteristic
385C4⋊C4×D59C2311yescharacteristic
386C4⋊C4×D59C2311yescharacteristic
387C2×(C2×D59)⋊C4—21no—
388C2×(C2×D59)⋊C4—21no—
389C2×(C2×D59)⋊C4—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273661C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273658C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441#14273637C2311yescharacteristic
442C4×C59⋊C8C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C2×#41×C59C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×M16×C59C2311yescharacteristic
450C22×C8×C59C2311yescharacteristic
451C4⋊Q8×C59C2311yescharacteristic
452#126×C59—21no—
453#125×C59C2311yescharacteristic
454#123×C59—21no—
455#123×C59—21no—
456#123×C59—21no—
457C22⋊Q8×C59C2311yescharacteristic
458C22⋊Q8×C59C2311yescharacteristic
459#121×C59—21no—
460#121×C59—21no—
461#121×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463C4×D4×C59—21no—
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467#117×C59C2311yescharacteristic
468C2×C4⋊C4×C59—21no—
469C2×C4⋊C4×C59C2311yescharacteristic
470#107×C59C2311yescharacteristic
471#106×C59C2311yescharacteristic
472#106×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486#97×C59C2311yescharacteristic
487C23×D59—21no—
488C23×D59—21no—
489C23×D59—21no—
490C23×D59C2×D411yescharacteristic
491#41×C59—22no—
492#41×C59—22no—
493#41×C59—41no—
494#41×C59—41no—
495C2×Q8×C59C2411yescharacteristic
496C2×Q8×C59C2411yescharacteristic
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59C2×D411yescharacteristic
502C2×D4×C59C2411yescharacteristic
503C2×D4×C59C2411yescharacteristic
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59C2411yescharacteristic
510C22×C4×C59C2411yescharacteristic
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59C2×D411yescharacteristic
520C2×C22⋊D59C2×D411yescharacteristic
521C2×C22⋊D59C2×D411yescharacteristic
522C2×C22⋊D59C2×D411yescharacteristic
523C22×Dic59—21no—
524C22×Dic59—21no—
525C22×Dic59—21no—
526C22×Dic59—21no—
527C22×Dic59—21no—
528C22×Dic59—21no—
529C22×Dic59C2×D411yescharacteristic
530#11745689—22no—
531#11745689—22no—
532#11745689—22no—
533#11745689—22no—
534#11745689—41no—
535#11745689—41no—
536Q8×D59—22no—
537Q8×D59—22no—
538#11745687—22no—
539#11745687—22no—
540#11745687—22no—
541#11745687—41no—
542#11745687—44no—
543#11745687—82no—
544D4×D59—22no—
545D4×D59—22no—
546D4×D59—41no—
547D4×D59—44no—
548D4×D59—44no—
549D4×D59—44no—
550D4×D59#4114yescomplemented
551#11745685—22no—
552#11745685—22no—
553#11745685—22no—
554#11745685—41no—
555#11745685—44no—
556#11745685—44no—
557#11745685—82no—
558C2×D236—22no—
559C2×D236—21no—
560C2×D236—21no—
561C2×D236—21no—
562C2×D236—21no—
563C2×D236—21no—
564C2×D236—41no—
565C2×D236—44no—
566C2×D236C2×D411yescharacteristic
567C2×D236C2×D411yescharacteristic
568C2×D236C2411yescharacteristic
569C2×D236C2411yescharacteristic
570C2×C4×D59—22no—
571C2×C4×D59—22no—
572C2×C4×D59—21no—
573C2×C4×D59—21no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×C4×D59—21no—
577C2×C4×D59—21no—
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—44no—
585C2×C4×D59—82no—
586C2×C4×D59C2×D411yescharacteristic
587C2×C4×D59C2×D411yescharacteristic
588C2×C4×D59C2411yescharacteristic
589C2×C4×D59C2411yescharacteristic
590C2×C4×D59C2411yescharacteristic
591C2×Dic118—21no—
592C2×Dic118—21no—
593C2×Dic118—21no—
594C2×Dic118C2×D411yescharacteristic
595C2×Dic118C2411yescharacteristic
596C2×Dic118C2411yescharacteristic
597SD16×C59—41no—
598SD16×C59—41no—
599D8×C59—22no—
600M16×C59—41no—
601C2×C8×C59—41no—
602C2×C8×C59C2411yescharacteristic
603C2×C8×C59C2411yescharacteristic
604C2×C8×C59C2411yescharacteristic
605C2×C8×C59C2411yescharacteristic
606C4⋊C4×C59—21no—
607C4⋊C4×C59—21no—
608C4⋊C4×C59—21no—
609C4⋊C4×C59—21no—
610C4⋊C4×C59—21no—
611C4⋊C4×C59—21no—
612C4⋊C4×C59—21no—
613C4⋊C4×C59C2×D411yescharacteristic
614C4⋊C4×C59C2411yescharacteristic
615C4⋊C4×C59C2411yescharacteristic
616C4⋊C4×C59C2411yescharacteristic
617C4⋊C4×C59C2411yescharacteristic
618C22⋊C4×C59—21no—
619C22⋊C4×C59—21no—
620C22⋊C4×C59—21no—
621C22⋊C4×C59—21no—
622C22⋊C4×C59—21no—
623C22⋊C4×C59—21no—
624C22⋊C4×C59—21no—
625C22⋊C4×C59C2×D411yescharacteristic
626C22⋊C4×C59C2×D411yescharacteristic
627C42×C59—21no—
628C42×C59C2411yescharacteristic
629C22⋊Dic59—21no—
630C22⋊Dic59—21no—
631C22⋊Dic59—21no—
632C22⋊Dic59—21no—
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635C22⋊Dic59—21no—
636C22⋊Dic59C2×D411yescharacteristic
637C22⋊Dic59C2×D411yescharacteristic
638#11745672—41no—
639#11745672—41no—
640#11745670—22no—
641#11745670—41no—
642#11745669—22no—
643#11745669—41no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
661(C2×D59)⋊C4C2×D411yescharacteristic
662(C2×D59)⋊C4C2×D411yescharacteristic
663(C2×D59)⋊C4C2×D411yescharacteristic
664(C2×D59)⋊C4C2×D411yescharacteristic
665(C2×D59)⋊C4C2×D411yescharacteristic
666C4⋊Dic59—21no—
667C4⋊Dic59—21no—
668C4⋊Dic59—21no—
669C4⋊Dic59—21no—
670C4⋊Dic59—21no—
671C4⋊Dic59—21no—
672C4⋊Dic59—21no—
673C4⋊Dic59C2×D411yescharacteristic
674C4⋊Dic59C2411yescharacteristic
675C4⋊Dic59C2411yescharacteristic
676C4⋊Dic59C2411yescharacteristic
677C4⋊Dic59C2411yescharacteristic
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
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⋊C4—21no—
694Dic59⋊C4C2×D411yescharacteristic
695Dic59⋊C4C2×D411yescharacteristic
696Dic59⋊C4C2×D411yescharacteristic
697Dic59⋊C4C2×D411yescharacteristic
698C4×Dic59—21no—
699C4×Dic59—21no—
700C4×Dic59—21no—
701C4×Dic59—21no—
702C4×Dic59—21no—
703C4×Dic59C2411yescharacteristic
704#11745664—41no—
705#11745664—41no—
706C2×C59⋊C8C2411yescharacteristic
707C2×C59⋊C8C2411yescharacteristic
708C2×C59⋊C8C2411yescharacteristic
709C2×C59⋊C8C2411yescharacteristic
710Dic236—41no—
711#11745660—22no—
712#11745660—41no—
713#11745659—22no—
714#11745659—22no—
715#11745659—41no—
716#11745659—41no—
717#11745659—41no—
718C8×D59—22no—
719C8×D59—22no—
720C8×D59—41no—
721C23×C59—21no—
722C23×C59—21no—
723C23×C59C22×D411yescharacteristic
724C23×C59C22×D411yescharacteristic
725C22×D59—21no—
726C22×D59—22no—
727C22×D59—24no—
728C22×D59—21no—
729C22×D59—41no—
730C22×D59—41no—
731C22×D59—42no—
732C22×D59—42no—
733C22×D59—81no—
734C22×D59—81no—
735C22×D59—81no—
736C22×D59—81no—
737C22×D59—81no—
738C22×D59—81no—
739C22×D59C22×D411yescharacteristic
740C22×D59C22×D411yescharacteristic
741C22×D59C22×D411yescharacteristic
742Q8×C59—21no—
743Q8×C59—21no—
744Q8×C59—21no—
745Q8×C59—21no—
746D4×C59—21no—
747D4×C59—21no—
748D4×C59—21no—
749D4×C59—41no—
750D4×C59—42no—
751D4×C59—42no—
752D4×C59—42no—
753D4×C59—81no—
754D4×C59C2×#4112yes—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—42no—
766C2×C4×C59—42no—
767C2×C4×C59—81no—
768C2×C4×C59—81no—
769C2×C4×C59—81no—
770C2×C4×C59C22×D411yescharacteristic
771C2×C4×C59C22×D411yescharacteristic
772C2×C4×C59C22×D411yescharacteristic
773C2×C4×C59C22×D411yescharacteristic
774C2×C4×C59C2511yescharacteristic
775C22⋊D59—22no—
776C22⋊D59—22no—
777C22⋊D59—24no—
778C22⋊D59—41no—
779C22⋊D59—41no—
780C22⋊D59—42no—
781C22⋊D59—42no—
782C22⋊D59—42no—
783C22⋊D59—42no—
784C22⋊D59—42no—
785C22⋊D59—81no—
786C22⋊D59—81no—
787C2×Dic59—22no—
788C2×Dic59—21no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—21no—
794C2×Dic59—42no—
795C2×Dic59—42no—
796C2×Dic59—81no—
797C2×Dic59—81no—
798C2×Dic59—81no—
799C2×Dic59—81no—
800C2×Dic59C22×D411yescharacteristic
801C2×Dic59C22×D411yescharacteristic
802C2×Dic59C22×D411yescharacteristic
803C2×Dic59C22×D411yescharacteristic
804C2×Dic59C22×D411yescharacteristic
805D236—22no—
806D236—21no—
807D236—21no—
808D236—21no—
809D236—41no—
810D236—42no—
811D236—42no—
812D236—42no—
813D236—42no—
814D236—81no—
815D236C2×#4112yes—
816C4×D59—22no—
817C4×D59—21no—
818C4×D59—21no—
819C4×D59—21no—
820C4×D59—21no—
821C4×D59—22no—
822C4×D59—42no—
823C4×D59—42no—
824C4×D59—42no—
825C4×D59—42no—
826C4×D59—42no—
827C4×D59—42no—
828C4×D59—42no—
829C4×D59—81no—
830C4×D59—81no—
831C4×D59—81no—
832C4×D59—81no—
833C4×D59—81no—
834C4×D59C2×#4112yes—
835C4×D59H(5,𝔽2)12yes—
836Dic118—22no—
837Dic118—21no—
838Dic118—21no—
839Dic118—21no—
840Dic118—21no—
841Dic118—42no—
842Dic118—81no—
843Dic118—81no—
844C8×C59—21no—
845C8×C59—21no—
846C8×C59—21no—
847C8×C59—21no—
848C59⋊C8—21no—
849C59⋊C8—21no—
850C59⋊C8—21no—
851C59⋊C8—21no—
852#61177—591nomaximal, Sylow
853C22×C59—21no—
854C22×C59—21no—
855C22×C59—21no—
856C22×C59—21no—
857C22×C59—21no—
858C22×C59—22no—
859C22×C59—21no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59—41no—
863C22×C59—41no—
864C22×C59—41no—
865C22×C59C23×D411yescharacteristic
866C2×D59—21no—
867C2×D59—21no—
868C2×D59—21no—
869C2×D59—21no—
870C2×D59—21no—
871C2×D59—21no—
872C2×D59—21no—
873C2×D59—21no—
874C2×D59—22no—
875C2×D59—44no—
876C2×D59—41no—
877C2×D59—41no—
878C2×D59—41no—
879C2×D59—41no—
880C2×D59—41no—
881C2×D59—84no—
882C2×D59—162no—
883C2×D59—162no—
884C2×D59#54612yes—
885C4×C59—21no—
886C4×C59—21no—
887C4×C59—21no—
888C4×C59—21no—
889C4×C59—41no—
890C4×C59—41no—
891C4×C59—41no—
892C4×C59—41no—
893C4×C59—41no—
894C4×C59—41no—
895C4×C59C22×#4111yescharacteristic
896C4×C59C2×H(5,𝔽2)11yescharacteristic
897Dic59—21no—
898Dic59—21no—
899Dic59—21no—
900Dic59—21no—
901Dic59—41no—
902Dic59—41no—
903Dic59—41no—
904Dic59—41no—
905Dic59—41no—
906Dic59—41no—
907Dic59#54612yes—
908#3492—591no—
909#3485—591no—
910#3331—591no—
911#3331—591no—
912#3330—591no—
913#3330—591no—
914#3323—591no—
915#3323—591no—
916#3322—591no—
917#3322—591no—
918#3315—591no—
919#3315—591no—
920#3314—591no—
921#3314—591no—
922#3307—591no—
923#3307D5911yescharacteristic, complemented
924#3306—591no—
925#3306—591no—
926#3137—591no—
927#3097—591no—
928#3092—591no—
929#3081—591no—
930#3063—591no—
931#3054—591no—
932#3046—591no—
933#3012—591no—
934#3005—591no—
935#2946—591no—
936#2930—591no—
937#2897—591no—
938C2×#417—591no—
939C2×C59—41no—
940C2×C59—42no—
941C2×C59—41no—
942C2×C59—81no—
943C2×C59C2×#54611yescharacteristic
944C2×C59#358511yescharacteristic
945C2×C59#358611yescharacteristic
946D59—22no—
947D59—41no—
948D59—41no—
949D59—42no—
950D59—81no—
951C2×H(5,𝔽2)—591no—
952C22×#41—591no—
953C2×#137—591no—
954C2×AGL(1,ℤ/8)—591no—
955C2×#135—591no—
956C2×#131—591no—
957C22×M16—591no—
958#554—591no—
959#554—591no—
960#554—1181no—
961#553—591no—
962#553—1181no—
963#553C2×D5911yescharacteristic, complemented
964#552—591no—
965#552—591no—
966#552—1181no—
967#547—591no—
968#547—591no—
969#547—591no—
970#547—591no—
971#547—591no—
972#547—1181no—
973#547—1181no—
974#547—1181no—
975#547C2×D5911yescharacteristic
976#546—591no—
977#546—591no—
978#546—591no—
979#546—591no—
980#546—1181no—
981#546—1181no—
982#544—591no—
983#539—1181no—
984#539—1181no—
985#537—591no—
986#536—591no—
987#536—591no—
988#534—1181no—
989#534—1181no—
990#525—591no—
991#525—591no—
992#525—591no—
993#525—1181no—
994#525—1181no—
995C2×#123—1181no—
996C2×#123—1181no—
997#520—591no—
998#520—591no—
999#518—591no—
1000C22×C4⋊C4—591no—
1001#491—591no—
1002#491C2×D5911yescharacteristic, complemented
1003#489—591no—
1004#489—591no—
1005#488—591no—
1006#488—591no—
1007#487—591no—
1008#487—591no—
1009#485—591no—
1010#485—591no—
1011#485—591no—
1012#485C2×D5911yescharacteristic, complemented
1013#484—591no—
1014#484—591no—
1015#484—591no—
1016#484—591no—
1017#483—591no—
1018#483—591no—
1019#483—591no—
1020#483C2×D5911yescharacteristic, complemented
1021#481—591no—
1022#481—591no—
1023#480—591no—
1024#480—591no—
1025#478—591no—
1026#478—591no—
1027#478—591no—
1028#478C2×D5911yescharacteristic, complemented
1029#476—591no—
1030#476—591no—
1031#474—591no—
1032#474—591no—
1033#470—591no—
1034#470—591no—
1035#470—591no—
1036#470—591no—
1037#469—591no—
1038#469—591no—
1039#468—591no—
1040#468—591no—
1041#468—591no—
1042#468—591no—
1043#468—591no—
1044#468C2×D5911yescharacteristic, complemented
1045#467—591no—
1046#467—591no—
1047#465—591no—
1048#465C2×D5911yescharacteristic, complemented
1049#464—591no—
1050#464—591no—
1051#463—591no—
1052#463—591no—
1053#462—591no—
1054#462—591no—
1055#461—591no—
1056#461C2×D5911yescharacteristic, complemented
1057#452—591no—
1058#452—591no—
1059#452—591no—
1060#452—591no—
1061#452—591no—
1062#452—591no—
1063#450—591no—
1064#450—591no—
1065#449—591no—
1066#449—591no—
1067#449—591no—
1068#449—591no—
1069#449C2×D5911yescharacteristic, complemented
1070#449C2×D5911yescharacteristic, complemented
1071#447—591no—
1072#447—591no—
1073#442—591no—
1074#442C2×D5911yescharacteristic, complemented
1075#440—591no—
1076#440—591no—
1077C4×SD16—591no—
1078C4×SD16—591no—
1079C4×D8—591no—
1080C4×D8—591no—
1081#436—591no—
1082#436—591no—
1083#436—591no—
1084#436—591no—
1085#435—591no—
1086#435—591no—
1087#435—591no—
1088#435C2×D5911yescharacteristic, complemented
1089#428—591no—
1090#428—591no—
1091#427—591no—
1092#424—591no—
1093#419—591no—
1094#418—591no—
1095#418—591no—
1096#418—591no—
1097#417—591no—
1098#417—591no—
1099#417—591no—
1100#417—591no—
1101#417—591no—
1102#417—591no—
1103#417—591no—
1104#417—591no—
1105#417—591no—
1106#417—591no—
1107#417—591no—
1108#417C2×D5911yescharacteristic, complemented
1109#416—591no—
1110#416—591no—
1111#416—591no—
1112#416C2×D5911yescharacteristic, complemented
1113C2×#103—591no—
1114C2×#103—591no—
1115C2×#102—591no—
1116C2×#102—591no—
1117C2×#102—591no—
1118C2×#102—591no—
1119#408—591no—
1120#407—591no—
1121#405—591no—
1122C59#6117711yescharacteristic, complemented, Sylow
1123H(5,𝔽2)—1184no—
1124H(5,𝔽2)—2362no—
1125C2×#41—591no—
1126C2×#41—591no—
1127C2×#41—591no—
1128C2×#41—591no—
1129C2×#41—591no—
1130C2×#41—591no—
1131C2×#41—591no—
1132C2×#41—1181no—
1133C2×#41—1181no—
1134C2×#41—1181no—
1135C2×#41—1181no—
1136C2×#41—1181no—
1137C2×#41—1184no—
1138C2×#41—2362no—
1139C2×#41C22×D5911yescharacteristic
1140C2×#41C22×D5911yescharacteristic
1141C22×Q8—591no—
1142C22×D4—591no—
1143C22×D4—591no—
1144C22×D4—591no—
1145C22×D4—1181no—
1146C22×D4—1181no—
1147C22×D4—1181no—
1148C22×D4—1181no—
1149C23×C4—591no—
1150C23×C4—1181no—
1151C23×C4—1181no—
1152#137—2362no—
1153AGL(1,ℤ/8)—1184no—
1154#135—2362no—
1155C2×Q16—591no—
1156C2×Q16—591no—
1157C2×Q16—591no—
1158C2×SD16—591no—
1159C2×SD16—591no—
1160C2×SD16—591no—
1161C2×SD16—591no—
1162C2×SD16C22×D5911yescharacteristic
1163C2×SD16C22×D5911yescharacteristic
1164C2×D8—591no—
1165C2×D8—591no—
1166C2×D8C22×D5911yescharacteristic
1167#131—2362no—
1168C2×M16—591no—
1169C2×M16—591no—
1170C2×M16—591no—
1171C2×M16—591no—
1172C2×M16—591no—
1173C2×M16—591no—
1174C2×M16—591no—
1175C2×M16—2362no—
1176C2×M16C22×D5911yescharacteristic
1177C22×C8—591no—
1178C22×C8—591no—
1179C22×C8—591no—
1180C22×C8C22×D5911yescharacteristic
1181C4⋊Q8—591no—
1182C4⋊Q8—591no—
1183C4⋊Q8—591no—
1184C4⋊Q8—1181no—
1185C4⋊Q8—1181no—
1186C4⋊Q8C22×D5911yescharacteristic
1187#126—21no—
1188#126—1181no—
1189#126—1181no—
1190#126—1181no—
1191#125—591no—
1192#125—1181no—
1193#125—1181no—
1194#125—1181no—
1195#125—1181no—
1196#125—1181no—
1197#125C22×D5911yescharacteristic
1198#124—591no—
1199#124—591no—
1200#124—1181no—
1201#123—21no—
1202#123—21no—
1203#123—21no—
1204#123—591no—
1205#123—591no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224#123—1181no—
1225#123—1181no—
1226#123—1181no—
1227#123—1181no—
1228#123—1181no—
1229C22⋊Q8—591no—
1230C22⋊Q8—591no—
1231C22⋊Q8—591no—
1232C22⋊Q8—591no—
1233C22⋊Q8—591no—
1234C22⋊Q8—591no—
1235C22⋊Q8—591no—
1236C22⋊Q8—591no—
1237C22⋊Q8—591no—
1238C22⋊Q8—591no—
1239C22⋊Q8—1181no—
1240C22⋊Q8—1181no—
1241C22⋊Q8—1181no—
1242C22⋊Q8—1181no—
1243C22⋊Q8—1181no—
1244C22⋊Q8—1181no—
1245C22⋊Q8—1181no—
1246C22⋊Q8—1181no—
1247C22⋊Q8—1181no—
1248C22⋊Q8—1181no—
1249C22⋊Q8—1181no—
1250C22⋊Q8C22×D5911yescharacteristic
1251C22⋊Q8C22×D5911yescharacteristic
1252#121—21no—
1253#121—21no—
1254#121—591no—
1255#121—591no—
1256#121—591no—
1257#121—591no—
1258#121—591no—
1259#121—591no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121—1181no—
1265#121—1181no—
1266#121—1181no—
1267#121—1181no—
1268#121—1181no—
1269#121—1181no—
1270#121—1181no—
1271#121C22×D5911yescharacteristic
1272#121C22×D5911yescharacteristic
1273#120—591no—
1274#120—591no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279#120—1181no—
1280#120—1181no—
1281C4×Q8—591no—
1282C4×Q8—591no—
1283C4×Q8—1181no—
1284C4×D4—21no—
1285C4×D4—591no—
1286C4×D4—591no—
1287C4×D4—591no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—591no—
1291C4×D4—591no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4—1181no—
1295C4×D4—1181no—
1296C4×D4—1181no—
1297C4×D4—1181no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4C22×D5911yescharacteristic
1307C4×D4C22×D5911yescharacteristic
1308C4×D4C22×D5911yescharacteristic
1309#117—591no—
1310#117—591no—
1311#117—591no—
1312#117—591no—
1313#117—1181no—
1314#117—1181no—
1315#117—1181no—
1316#117C22×D5911yescharacteristic
1317C2×C4⋊C4—21no—
1318C2×C4⋊C4—591no—
1319C2×C4⋊C4—591no—
1320C2×C4⋊C4—591no—
1321C2×C4⋊C4—591no—
1322C2×C4⋊C4—591no—
1323C2×C4⋊C4—591no—
1324C2×C4⋊C4—591no—
1325C2×C4⋊C4—1181no—
1326C2×C4⋊C4—1181no—
1327C2×C4⋊C4—1181no—
1328C2×C4⋊C4—1181no—
1329C2×C4⋊C4—1181no—
1330C2×C4⋊C4—1181no—
1331C2×C4⋊C4—1181no—
1332C2×C4⋊C4C22×D5911yescharacteristic
1333C2×C22⋊C4—1181no—
1334C2×C22⋊C4—1181no—
1335C2×C22⋊C4—1181no—
1336C2×C22⋊C4—1181no—
1337C2×C22⋊C4—1181no—
1338C2×C22⋊C4—1181no—
1339#107—591no—
1340#107—591no—
1341#107—591no—
1342#107—591no—
1343#107—591no—
1344#107C22×D5911yescharacteristic
1345#106—591no—
1346#106—591no—
1347#106—591no—
1348#106—591no—
1349#106C22×D5911yescharacteristic
1350#106C22×D5911yescharacteristic
1351C4⋊C8—591no—
1352C4⋊C8—591no—
1353C4⋊C8—591no—
1354C4⋊C8C22×D5911yescharacteristic
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103—591no—
1359#103—591no—
1360#103—591no—
1361#103—591no—
1362#103—591no—
1363#103—591no—
1364#103—591no—
1365#103—591no—
1366#103—591no—
1367#103—591no—
1368#103—591no—
1369#103C22×D5911yescharacteristic
1370#103C22×D5911yescharacteristic
1371#103C22×D5911yescharacteristic
1372#103C22×D5911yescharacteristic
1373#103C22×D5911yescharacteristic
1374#103C22×D5911yescharacteristic
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102—591no—
1379#102—591no—
1380#102—591no—
1381#102—591no—
1382#102—591no—
1383#102—591no—
1384#102—591no—
1385#102—591no—
1386#102—591no—
1387#102—591no—
1388#102—591no—
1389#102—591no—
1390#102—591no—
1391#102C22×D5911yescharacteristic
1392#102C22×D5911yescharacteristic
1393#102C22×D5911yescharacteristic
1394#102C22×D5911yescharacteristic
1395C22⋊C8—591no—
1396C22⋊C8—591no—
1397C22⋊C8—591no—
1398C22⋊C8—591no—
1399C22⋊C8—591no—
1400C22⋊C8—591no—
1401C22⋊C8C22×D5911yescharacteristic
1402C22⋊C8C22×D5911yescharacteristic
1403#97—591no—
1404#97C22×D5911yescharacteristic
1405C4×C8—591no—
1406C4×C8—591no—
1407C24—591no—
1408C24—1181no—
1409C24—1181no—
1410C24—1181no—
1411#41—22no—
1412#41—22no—
1413#41—41no—
1414#41—41no—
1415#41—1182no—
1416#41—1182no—
1417#41—1182no—
1418#41—1182no—
1419#41—1182no—
1420#41—1182no—
1421#41—1182no—
1422#41—1182no—
1423#41—1182no—
1424#41—1182no—
1425#41—4722no—
1426#41—4722no—
1427#41—2361no—
1428#41—2364no—
1429#41—2364no—
1430#41—2361no—
1431#41—2364no—
1432#41—2361no—
1433#41—2361no—
1434C2×Q8—591no—
1435C2×Q8—591no—
1436C2×Q8—591no—
1437C2×Q8—1181no—
1438C2×Q8—1181no—
1439C2×Q8—1182no—
1440C2×Q8—1182no—
1441C2×Q8—1181no—
1442C2×Q8C23×D5911yescharacteristic
1443C2×Q8C23×D5911yescharacteristic
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—594no—
1449C2×D4—591no—
1450C2×D4—591no—
1451C2×D4—591no—
1452C2×D4—591no—
1453C2×D4—591no—
1454C2×D4—591no—
1455C2×D4—591no—
1456C2×D4—591no—
1457C2×D4—1182no—
1458C2×D4—1181no—
1459C2×D4—1181no—
1460C2×D4—1181no—
1461C2×D4—1181no—
1462C2×D4—1182no—
1463C2×D4—1181no—
1464C2×D4—1181no—
1465C2×D4—1182no—
1466C2×D4—1181no—
1467C2×D4—1181no—
1468C2×D4—1181no—
1469C2×D4—1181no—
1470C2×D4—1181no—
1471C2×D4—1181no—
1472C2×D4—1181no—
1473C2×D4—2361no—
1474C2×D4—2364no—
1475C2×D4—2361no—
1476C2×D4—2364no—
1477C2×D4—2364no—
1478C2×D4—2364no—
1479C2×D4D4×D5911yescharacteristic
1480C2×D4C23×D5911yescharacteristic
1481C2×D4C23×D5911yescharacteristic
1482C22×C4—21no—
1483C22×C4—21no—
1484C22×C4—21no—
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—591no—
1488C22×C4—591no—
1489C22×C4—591no—
1490C22×C4—591no—
1491C22×C4—591no—
1492C22×C4—591no—
1493C22×C4—1182no—
1494C22×C4—1182no—
1495C22×C4—1181no—
1496C22×C4—1181no—
1497C22×C4—1181no—
1498C22×C4—1181no—
1499C22×C4—1181no—
1500C22×C4—1181no—
1501C22×C4—1181no—
1502C22×C4—1181no—
1503C22×C4—1181no—
1504C22×C4—1181no—
1505C22×C4—1181no—
1506C22×C4—1181no—
1507C22×C4—1181no—
1508C22×C4—1181no—
1509C22×C4—1181no—
1510C22×C4—1181no—
1511C22×C4—1181no—
1512C22×C4—1181no—
1513C22×C4—4722no—
1514C22×C4—2364no—
1515C22×C4C23×D5911yescharacteristic
1516C22×C4C23×D5911yescharacteristic
1517Q16—2361no—
1518Q16—2361no—
1519Q16—2361no—
1520SD16—41no—
1521SD16—41no—
1522SD16—1182no—
1523SD16—1182no—
1524SD16—2361no—
1525SD16—2361no—
1526D8—22no—
1527D8—1182no—
1528D8—2361no—
1529M16—41no—
1530M16—1182no—
1531M16—1182no—
1532M16—2361no—
1533M16—2361no—
1534M16—2361no—
1535M16—2361no—
1536M16—2361no—
1537C2×C8—41no—
1538C2×C8—591no—
1539C2×C8—591no—
1540C2×C8—591no—
1541C2×C8—591no—
1542C2×C8—1182no—
1543C2×C8—1182no—
1544C2×C8—2361no—
1545C2×C8C23×D5911yescharacteristic
1546C2×C8C23×D5911yescharacteristic
1547C2×C8C23×D5911yescharacteristic
1548C2×C8C23×D5911yescharacteristic
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—591no—
1557C4⋊C4—591no—
1558C4⋊C4—591no—
1559C4⋊C4—591no—
1560C4⋊C4—591no—
1561C4⋊C4—591no—
1562C4⋊C4—591no—
1563C4⋊C4—591no—
1564C4⋊C4—591no—
1565C4⋊C4—1181no—
1566C4⋊C4—1181no—
1567C4⋊C4—1181no—
1568C4⋊C4—1181no—
1569C4⋊C4—1181no—
1570C4⋊C4—1181no—
1571C4⋊C4—1181no—
1572C4⋊C4—1181no—
1573C4⋊C4—1181no—
1574C4⋊C4—1181no—
1575C4⋊C4—1181no—
1576C4⋊C4—1181no—
1577C4⋊C4—1181no—
1578C4⋊C4—1181no—
1579C4⋊C4—1181no—
1580C4⋊C4—1181no—
1581C4⋊C4—1181no—
1582C4⋊C4—1181no—
1583C4⋊C4—1181no—
1584C4⋊C4—1181no—
1585C4⋊C4—1181no—
1586C4⋊C4—1181no—
1587C4⋊C4—1181no—
1588C4⋊C4D4×D5911yescharacteristic
1589C4⋊C4C23×D5911yescharacteristic
1590C4⋊C4C23×D5911yescharacteristic
1591C4⋊C4C23×D5911yescharacteristic
1592C4⋊C4C23×D5911yescharacteristic
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—591no—
1601C22⋊C4—591no—
1602C22⋊C4—591no—
1603C22⋊C4—591no—
1604C22⋊C4—591no—
1605C22⋊C4—591no—
1606C22⋊C4—591no—
1607C22⋊C4—591no—
1608C22⋊C4—1181no—
1609C22⋊C4—1181no—
1610C22⋊C4—1181no—
1611C22⋊C4—1181no—
1612C22⋊C4—1181no—
1613C22⋊C4—1181no—
1614C22⋊C4—1181no—
1615C22⋊C4—1181no—
1616C22⋊C4—1181no—
1617C22⋊C4—1181no—
1618C22⋊C4—1181no—
1619C22⋊C4—1181no—
1620C22⋊C4—1181no—
1621C22⋊C4—1181no—
1622C22⋊C4—1181no—
1623C22⋊C4—1181no—
1624C22⋊C4—1181no—
1625C22⋊C4—1181no—
1626C22⋊C4—1181no—
1627C22⋊C4—1181no—
1628C22⋊C4—1181no—
1629C22⋊C4—1181no—
1630C22⋊C4—1181no—
1631C22⋊C4D4×D5911yescharacteristic
1632C22⋊C4D4×D5911yescharacteristic
1633C42—21no—
1634C42—591no—
1635C42—1181no—
1636C42—1181no—
1637C42—1181no—
1638C42—1181no—
1639C42—1181no—
1640C42C23×D5911yescharacteristic
1641C23—21no—
1642C23—21no—
1643C23—591no—
1644C23—591no—
1645C23—591no—
1646C23—1184no—
1647C23—1182no—
1648C23—1181no—
1649C23—1181no—
1650C23—4721no—
1651C23—4721no—
1652C23—4721no—
1653C23—4721no—
1654C23—4721no—
1655C23—4721no—
1656C23—2361no—
1657C23—2361no—
1658C23—2362no—
1659C23—2362no—
1660C23C2×D4×D5911yescharacteristic
1661C23C2×D4×D5911yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—1182no—
1667Q8—1181no—
1668Q8—1181no—
1669Q8—1181no—
1670Q8—1181no—
1671Q8—4721no—
1672Q8—4721no—
1673Q8—2362no—
1674D4—21no—
1675D4—21no—
1676D4—21no—
1677D4—41no—
1678D4—42no—
1679D4—42no—
1680D4—42no—
1681D4—81no—
1682D4—592no—
1683D4—1182no—
1684D4—1184no—
1685D4—1182no—
1686D4—1182no—
1687D4—1181no—
1688D4—1181no—
1689D4—1181no—
1690D4—4721no—
1691D4—4721no—
1692D4—4721no—
1693D4—2361no—
1694D4—2362no—
1695D4—2362no—
1696D4—2362no—
1697D4—2362no—
1698D4—2361no—
1699D4—2361no—
1700D4—2362no—
1701D4—2362no—
1702D4—2362no—
1703D4—2362no—
1704D4—2362no—
1705D4#41×D5912yes—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—42no—
1717C2×C4—42no—
1718C2×C4—81no—
1719C2×C4—81no—
1720C2×C4—81no—
1721C2×C4—591no—
1722C2×C4—592no—
1723C2×C4—592no—
1724C2×C4—591no—
1725C2×C4—591no—
1726C2×C4—591no—
1727C2×C4—591no—
1728C2×C4—1182no—
1729C2×C4—1182no—
1730C2×C4—1182no—
1731C2×C4—1181no—
1732C2×C4—1181no—
1733C2×C4—1181no—
1734C2×C4—1181no—
1735C2×C4—1181no—
1736C2×C4—1181no—
1737C2×C4—1181no—
1738C2×C4—1181no—
1739C2×C4—1181no—
1740C2×C4—1181no—
1741C2×C4—4721no—
1742C2×C4—4721no—
1743C2×C4—4721no—
1744C2×C4—4721no—
1745C2×C4—4721no—
1746C2×C4—4721no—
1747C2×C4—4721no—
1748C2×C4—4721no—
1749C2×C4—4721no—
1750C2×C4—2362no—
1751C2×C4—2362no—
1752C2×C4—2362no—
1753C2×C4—2362no—
1754C2×C4—2362no—
1755C2×C4—2362no—
1756C2×C4—2362no—
1757C2×C4—2362no—
1758C2×C4—2362no—
1759C2×C4C2×D4×D5911yescharacteristic
1760C2×C4C2×D4×D5911yescharacteristic
1761C2×C4C2×D4×D5911yescharacteristic
1762C2×C4C2×D4×D5911yescharacteristic
1763C2×C4C24×D5911yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—1181no—
1769C8—1181no—
1770C8—1181no—
1771C8—1181no—
1772C22—21no—
1773C22—21no—
1774C22—22no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—592no—
1785C22—1181no—
1786C22—1181no—
1787C22—1181no—
1788C22—1181no—
1789C22—1182no—
1790C22—1181no—
1791C22—1181no—
1792C22—1181no—
1793C22—1181no—
1794C22—9442no—
1795C22—9442no—
1796C22—4724no—
1797C22—2364no—
1798C22—2361no—
1799C22—2361no—
1800C22—2361no—
1801C22—2361no—
1802C22—2361no—
1803C22C22×D4×D5911yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—592no—
1815C4—1181no—
1816C4—1181no—
1817C4—1181no—
1818C4—1181no—
1819C4—2361no—
1820C4—2361no—
1821C4—2361no—
1822C4—2361no—
1823C4—2361no—
1824C4—2361no—
1825C4C2×#41×D5911yescharacteristic
1826C4H(5,𝔽2)×D5911yescharacteristic
1827C2—41no—
1828C2—41no—
1829C2—42no—
1830C2—81no—
1831C2—1182no—
1832C2—4721no—
1833C2—2361no—
1834C2—2361no—
1835C2—2362no—
1836C2#546×D5911yescharacteristic
1837C2#2143887411yescharacteristic
1838C2#2143888011yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3307C2
socleC22×C59C23×D4
hypercenter#3307D59
hypocenterC59#61177
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3307

Complements

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

NH ≅ G/Ntype
1. #21437800C2semidirect
2. #21437735C2semidirect
3. #21436412C2semidirect
4. #21436410C2semidirect
5. #21436404C2semidirect
6. #21436394C2semidirect
7. #21436310C2semidirect
8. #21436309C2semidirect
9. #21436291C2semidirect
10. #21436290C2semidirect
11. #21436191C2semidirect
12. #21436188C2semidirect
13. #21436179C2semidirect
14. #21436178C2semidirect
15. #21436067C2semidirect
16. #21436063C2semidirect
17. #21436062C2semidirect
18. #21434462C2semidirect
19. #21434060C2semidirect
20. #21434020C2semidirect
21. #21433924C2semidirect
22. #21433780C2semidirect
23. #21433700C2semidirect
24. #21433641C2semidirect
25. #21433398C2semidirect
26. #21433334C2semidirect
27. #21432925C2semidirect
28. #21432794C2semidirect
29. #21432618C2semidirect
30. #417×D59C2semidirect
31. C59×#3307C2semidirect
34. C2×#14273756C22semidirect
38. C2×M16×D59C22semidirect
40. #16838109C22semidirect
41. #16838107C22semidirect
42. #16838104C22semidirect
44. #16838091C22semidirect
45. #16838090C22semidirect
47. #16838057C22semidirect
51. #16838052C22semidirect
61. #16838032C22semidirect
71. #16837912C22semidirect
77. #16837881C22semidirect
79. C2×C4⋊C4×D59C22semidirect
80. #16837769C22semidirect
81. #16837763C22semidirect
82. #16837762C22semidirect
83. #16837759C22semidirect
84. #16837758C22semidirect
85. #16837752C22semidirect
86. #16837751C22semidirect
87. #16837745C22semidirect
88. #16837743C22semidirect
89. #16837742C22semidirect
90. #16837738C22semidirect
91. #16837736C22semidirect
92. #16837736C22semidirect
93. #16837736C22semidirect
94. #16837734C22semidirect
95. #16837730C22semidirect
96. #16837730C22semidirect
97. #16837722C22semidirect
98. #16837722C22semidirect
99. #16837716C22semidirect
100. #16837715C22semidirect
101. #16837705C22semidirect
102. #16837700C22semidirect
103. #16837699C22semidirect
104. #16837692C22semidirect
105. #16837691C22semidirect
106. #16837683C22semidirect
107. #16837680C22semidirect
108. #16837661C22semidirect
109. #16837659C22semidirect
110. #16837658C22semidirect
111. #16837658C22semidirect
112. #16837654C22semidirect
113. #16837653C22semidirect
114. #16837649C22semidirect
115. #16837648C22semidirect
116. #16837646C22semidirect
117. #16837645C22semidirect
118. #16837645C22semidirect
119. #16837643C22semidirect
120. #16837642C22semidirect
121. #16837630C22semidirect
122. #16837627C22semidirect
123. #16837625C22semidirect
124. #16837619C22semidirect
125. #16837617C22semidirect
126. #16837611C22semidirect
127. #16837609C22semidirect
128. #16837605C22semidirect
129. #16837567C22semidirect
130. #16837567C22semidirect
131. #16837566C22semidirect
132. #16837565C22semidirect
133. #16837564C22semidirect
134. #16837564C22semidirect
135. #16837555C22semidirect
136. #16837554C22semidirect
137. #16837546C22semidirect
138. #16837546C22semidirect
139. #16837545C22semidirect
140. #16837544C22semidirect
141. #16837535C22semidirect
142. #16837534C22semidirect
143. #16837511C22semidirect
144. #16837504C22semidirect
145. #16837499C22semidirect
146. #16837489C22semidirect
147. C4×#11745670C22semidirect
148. D8×Dic59C22semidirect
149. C4×#11745669C22semidirect
150. #16837480C22semidirect
151. #16837479C22semidirect
152. #16837477C22semidirect
153. #16837477C22semidirect
154. #16837475C22semidirect
155. #16837473C22semidirect
156. #16837471C22semidirect
157. #16837441C22semidirect
158. #16837441C22semidirect
159. #16837439C22semidirect
160. #16837427C22semidirect
161. #16837409C22semidirect
162. #16837406C22semidirect
164. #16837405C22semidirect
165. #16837404C22semidirect
166. #16837403C22semidirect
167. #16837403C22semidirect
170. #16837402C22semidirect
171. #16837402C22semidirect
172. #16837402C22semidirect
173. #16837401C22semidirect
174. #16837400C22semidirect
175. #16837400C22semidirect
177. #16837397C22semidirect
178. #16837395C22semidirect
179. #103×D59C22semidirect
180. #103×D59C22semidirect
181. C2×#14273649C22semidirect
184. #102×D59C22semidirect
186. #16837364C22semidirect
187. #16837359C22semidirect
188. C59×#553C22semidirect
190. C59×#491C22semidirect
191. C59×#485C22semidirect
192. C59×#483C22semidirect
193. C59×#478C22semidirect
194. C59×#468C22semidirect
195. C59×#465C22semidirect
196. C59×#461C22semidirect
197. C59×#449C22semidirect
198. C59×#449C22semidirect
199. C59×#442C22semidirect
200. C59×#435C22semidirect
201. C59×#417C22semidirect
202. C59×#416C22semidirect
550. D4×D59#41semidirect
923. #3307D59semidirect
963. #553C2×D59semidirect
1002. #491C2×D59semidirect
1012. #485C2×D59semidirect
1020. #483C2×D59semidirect
1028. #478C2×D59semidirect
1044. #468C2×D59semidirect
1048. #465C2×D59semidirect
1056. #461C2×D59semidirect
1069. #449C2×D59semidirect
1070. #449C2×D59semidirect
1074. #442C2×D59semidirect
1088. #435C2×D59semidirect
1108. #417C2×D59semidirect
1112. #416C2×D59semidirect
1122. C59#61177semidirect

Maximal subgroups

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

subgroupindex
#214378002
#214377352
#214364122
#214364102
#214364042
#214363942
#214363102
#214363092
#214362912
#214362902
#214361912
#214361882
#214361792
#214361782
#214360672
#214360632
#214360622
#214344622
#214340602
#214340202
#214339242
#214337802
#214337002
#214336412
#214333982
#214333342
#214329252
#214327942
#214326182
#417×D592
C59×#33072
#6117759