Finite Group Databasebeta

← #29475831

Subgroups — #29475831

Order 15104.

2152 conjugacy classes of subgroups.

The subgroup lattice has 1932 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438493C211yesmaximal, characteristic, complemented
2#21437856C211yesmaximal, characteristic, complemented
3#21436407C211yesmaximal, characteristic, complemented
4#21436405C211yesmaximal, characteristic, complemented
5#21436064C211yesmaximal, characteristic, complemented
6#21436062C211yesmaximal, characteristic, complemented
7#21436059C211yesmaximal, characteristic, complemented
8#21436057C211yesmaximal, characteristic, complemented
9#21435915C211yesmaximal, characteristic, complemented
10#21435913C211yesmaximal, characteristic, complemented
11#21435820C211yesmaximal, characteristic, complemented
12#21435819C211yesmaximal, characteristic, complemented
13#21435710C211yesmaximal, characteristic, complemented
14#21435709C211yesmaximal, characteristic, complemented
15#21435627C211yesmaximal, characteristic, complemented
16#21435622C211yesmaximal, characteristic, complemented
17#21435620C211yesmaximal, characteristic, complemented
18#21435102C211yesmaximal, characteristic, complemented
19#21435028C211yesmaximal, characteristic, complemented
20#21435005C211yesmaximal, characteristic, complemented
21#21435004C211yesmaximal, characteristic, complemented
22#21435003C211yesmaximal, characteristic, complemented
23#21435001C211yesmaximal, characteristic, complemented
24#21434185C211yesmaximal, characteristic, complemented
25#21434103C211yesmaximal, characteristic, complemented
26#21433404C211yesmaximal, characteristic, complemented
27#21433401C211yesmaximal, characteristic, complemented
28#21433399C211yesmaximal, characteristic, complemented
29#21433396C211yesmaximal, characteristic, complemented
30#21433168C211yesmaximal, characteristic, complemented
31C59×#3267C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C2×#14273772C2211yescharacteristic
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273752C2211yescharacteristic, complemented
37C2×#14273750C2211yescharacteristic, complemented
38C2×#14273748C2211yescharacteristic, complemented
39C2×#14273747C2211yescharacteristic, complemented
40#16838149—21no—
41#16838149—21no—
42#16838110C2211yescharacteristic, complemented
43#16838110C2211yescharacteristic, complemented
44#16838107—21no—
45#16838071C2211yescharacteristic, complemented
46#16838071C2211yescharacteristic, complemented
47#16838070—21no—
48#16838057C2211yescharacteristic, complemented
49#16838056C2211yescharacteristic, complemented
50#16838055C2211yescharacteristic, complemented
51#16838054C2211yescharacteristic
52#16838051C2211yescharacteristic
53#16838050—21no—
54#16838048C2211yescharacteristic
55#16838047C2211yescharacteristic
56#16838045C2211yescharacteristic
57#16838042—21no—
58#16838041—21no—
59#16838036C2211yescharacteristic
60D4×C22⋊D59C2211yescharacteristic
61#16838034—21no—
62#16838004—21no—
63#16838004—21no—
64#16837983—21no—
65#16837982C2211yescharacteristic
66#16837982C2211yescharacteristic, complemented
67#16837982C2211yescharacteristic, complemented
68#16837981—21no—
69#16837981C2211yescharacteristic
70#16837980C2211yescharacteristic, complemented
71#16837980C2211yescharacteristic, complemented
72#16837963—21no—
73#16837962—21no—
74#16837957C2211yescharacteristic, complemented
75#16837951C2211yescharacteristic
76#16837949C2211yescharacteristic
77#16837949C2211yescharacteristic, complemented
78C2×#14273700—21no—
79#121×D59—21no—
80C4×D4×D59C2211yescharacteristic
81#16837794C2211yescharacteristic, complemented
82#16837777C2211yescharacteristic, complemented
83#16837773C2211yescharacteristic, complemented
84#16837762C2211yescharacteristic, complemented
85#16837761C2211yescharacteristic, complemented
86#16837751C2211yescharacteristic, complemented
87#16837747C2211yescharacteristic, complemented
88#16837734C2211yescharacteristic, complemented
89#16837733C2211yescharacteristic, complemented
90#16837731C2211yescharacteristic, complemented
91#16837731C2211yescharacteristic, complemented
92#16837731C2211yescharacteristic, complemented
93#16837730C2211yescharacteristic, complemented
94#16837722C2211yescharacteristic, complemented
95#16837722C2211yescharacteristic, complemented
96#16837721C2211yescharacteristic, complemented
97#16837719C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837718C2211yescharacteristic, complemented
100#16837693C2211yescharacteristic, complemented
101#16837692C2211yescharacteristic, complemented
102#16837691C2211yescharacteristic, complemented
103#16837690C2211yescharacteristic, complemented
104#16837659C2211yescharacteristic, complemented
105#16837658C2211yescharacteristic, complemented
106#16837657C2211yescharacteristic, complemented
107#16837655C2211yescharacteristic, complemented
108#16837654C2211yescharacteristic, complemented
109#16837653C2211yescharacteristic, complemented
110#16837652C2211yescharacteristic, complemented
111#16837634C2211yescharacteristic, complemented
112#16837633C2211yescharacteristic, complemented
113#16837633C2211yescharacteristic, complemented
114#16837631C2211yescharacteristic, complemented
115#16837630C2211yescharacteristic, complemented
116#16837628C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837618C2211yescharacteristic, complemented
119#16837617C2211yescharacteristic, complemented
120#16837614C2211yescharacteristic, complemented
121#16837610C2211yescharacteristic, complemented
122#16837610C2211yescharacteristic, complemented
123#16837604C2211yescharacteristic, complemented
124#16837600C2211yescharacteristic, complemented
125#16837600C2211yescharacteristic, complemented
126#16837596C2211yescharacteristic, complemented
127#16837595C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic, complemented
129#16837564C2211yescharacteristic, complemented
130#16837563C2211yescharacteristic, complemented
131#16837563C2211yescharacteristic, complemented
132#16837563C2211yescharacteristic, complemented
133#16837563C2211yescharacteristic, complemented
134#16837562C2211yescharacteristic, complemented
135#16837561C2211yescharacteristic, complemented
136#16837561C2211yescharacteristic, complemented
137#16837561C2211yescharacteristic, complemented
138#16837552C2211yescharacteristic, complemented
139#16837551C2211yescharacteristic
140#16837551C2211yescharacteristic
141#16837551C2211yescharacteristic, complemented
142#16837551C2211yescharacteristic, complemented
143#16837550C2211yescharacteristic, complemented
144#16837550C2211yescharacteristic, complemented
145#16837549C2211yescharacteristic, complemented
146#16837548C2211yescharacteristic, complemented
147#16837547C2211yescharacteristic, complemented
148#16837547C2211yescharacteristic, complemented
149#16837546C2211yescharacteristic, complemented
150#16837546C2211yescharacteristic, complemented
151#16837546C2211yescharacteristic, complemented
152#16837544C2211yescharacteristic, complemented
153#16837544C2211yescharacteristic, complemented
154#16837538C2211yescharacteristic, complemented
155#16837537C2211yescharacteristic
156#16837536C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837515C2211yescharacteristic, complemented
161#16837512C2211yescharacteristic, complemented
162#16837512C2211yescharacteristic, complemented
163SD16×Dic59C2211yescharacteristic, complemented
164SD16×Dic59C2211yescharacteristic, complemented
165#16837487C2211yescharacteristic, complemented
166#16837487C2211yescharacteristic, complemented
167#16837478C2211yescharacteristic, complemented
168#16837477C2211yescharacteristic, complemented
169#16837475C2211yescharacteristic, complemented
170#16837474C2211yescharacteristic, complemented
171#16837472C2211yescharacteristic, complemented
172C8×C22⋊D59C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic, complemented
174#16837457C2211yescharacteristic, complemented
175#16837454C2211yescharacteristic, complemented
176#16837404C2211yescharacteristic, complemented
177#16837403C2211yescharacteristic, complemented
178#16837402C2211yescharacteristic, complemented
179#16837400C2211yescharacteristic, complemented
180C2×#14273649C2211yescharacteristic, complemented
181C2×#14273648C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837370C2211yescharacteristic, complemented
185#16837368C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C2×#135×C59C2211yescharacteristic, complemented
190C59×#547C2211yescharacteristic, complemented
191C59×#546C2211yescharacteristic
192C59×#497C2211yescharacteristic, complemented
193C59×#470C2211yescharacteristic, complemented
194C59×#465C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#461C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#450C2211yescharacteristic, complemented
200C59×#449C2211yescharacteristic, complemented
201C59×#442C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205#14273772—42no—
206#14273772—42no—
207C2×#11745689C2311yescharacteristic
208C2×#11745689C2311yescharacteristic
209C2×#11745689C2311yescharacteristic
210C2×#11745689C2311yescharacteristic
211C2×#11745685—21no—
212C2×#11745685—21no—
213C2×#11745685—21no—
214C2×#11745685C2311yescharacteristic
215C2×#11745685C2311yescharacteristic
216C2×#11745685C2311yescharacteristic
217C2×#11745687—21no—
218C2×#11745687—21no—
219C2×#11745687C2311yescharacteristic
220C2×#11745687C2311yescharacteristic
221C22×D236—21no—
222C22×D236C2311yescharacteristic
223C22×C22⋊D59—21no—
224C22×C22⋊D59—21no—
225C22×C22⋊D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59—21no—
230C2×D4×D59C2311yescharacteristic
231C2×D4×D59C2311yescharacteristic
232C2×D4×D59C2311yescharacteristic
233C22×C4×D59—21no—
234#14273754—42no—
235#14273754—42no—
236#14273752—42no—
237#14273750—42no—
238#14273748—42no—
239#14273747—42no—
240C2×#11745672C2311yescharacteristic
241C2×#11745672C2311yescharacteristic
242C2×#11745660C2311yescharacteristic
243C2×#11745670C2311yescharacteristic
244C2×#11745671C2311yescharacteristic
245C2×#11745671C2311yescharacteristic
246C2×#11745671C2311yescharacteristic
247C2×#11745671C2311yescharacteristic
248C2×#11745671C2311yescharacteristic
249C2×D472C2311yescharacteristic
250C2×D472C2311yescharacteristic
251C2×#11745669C2311yescharacteristic
252C2×#11745669C2311yescharacteristic
253C2×#11745669C2311yescharacteristic
254C2×#11745669C2311yescharacteristic
255C2×#11745664C2311yescharacteristic
256C2×#11745659C2311yescharacteristic
257C2×#11745659C2311yescharacteristic
258C22×C59⋊C8C2311yescharacteristic
259C2×C8×D59C2311yescharacteristic
260C2×C8×D59C2311yescharacteristic
261#14273727C2311yescharacteristic
262#14273726D411yescharacteristic
263#14273726C2311yescharacteristic
264#14273725C2311yescharacteristic
265#14273723—21no—
266#14273723—21no—
267#14273723D411yescharacteristic
268#14273723C2311yescharacteristic
269#14273723C2311yescharacteristic
270#14273718—21no—
271#14273717—21no—
272#14273717—21no—
273#14273715C2311yescharacteristic
274#14273713—21no—
275#14273713D411yescharacteristic
276#14273713D411yescharacteristic
277#14273712—21no—
278#14273712—21no—
279#14273712—21no—
280#14273712—21no—
281#14273711—21no—
282#14273711—21no—
283#14273711—21no—
284#14273710—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709—21no—
289#14273708—21no—
290#14273707—21no—
291#14273707—21no—
292#14273707—21no—
293#14273707—21no—
294#14273707C2311yescharacteristic
295#14273706—21no—
296#14273706—21no—
297#14273706—21no—
298#14273706C2311yescharacteristic
299#14273705—21no—
300#14273705—21no—
301#14273705—21no—
302#14273704—21no—
303#14273704—21no—
304#14273704—21no—
305#14273703C2311yescharacteristic
306#14273703C2311yescharacteristic
307#14273703C2311yescharacteristic
308#14273703C2311yescharacteristic
309#14273703C2311yescharacteristic
310#14273702—21no—
311#14273702—21no—
312#14273702—21no—
313#14273702—21no—
314#14273702D411yescharacteristic
315#14273702C2311yescharacteristic
316#14273702C2311yescharacteristic
317#14273701—21no—
318#14273701—21no—
319#14273701—21no—
320#14273701—21no—
321#14273701—21no—
322#14273701C2311yescharacteristic
323#14273701C2311yescharacteristic
324#14273701C2311yescharacteristic
325#14273700—21no—
326#14273700—21no—
327#14273700—21no—
328#14273700—21no—
329#14273700—21no—
330#14273700—21no—
331#14273700—21no—
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273700—21no—
338#14273700—21no—
339#14273700D411yescharacteristic
340#14273700D411yescharacteristic
341#14273699—21no—
342#14273699—21no—
343#14273699—21no—
344#14273699—21no—
345#14273699—21no—
346#14273699—21no—
347#14273699—21no—
348#14273698—21no—
349#14273698—21no—
350#14273698—21no—
351#14273698D411yescharacteristic
352#14273698C2311yescharacteristic
353#14273698C2311yescharacteristic
354#14273698C2311yescharacteristic
355#14273698C2311yescharacteristic
356#14273697—21no—
357#14273697—21no—
358#14273697—21no—
359#14273696—21no—
360#14273695—21no—
361#14273695—21no—
362#14273695—21no—
363Q8×Dic59C2311yescharacteristic
364Q8×Dic59C2311yescharacteristic
365#14273692—21no—
366C4×D236C2311yescharacteristic
367C4×D236C2311yescharacteristic
368C4×D236C2311yescharacteristic
369D4×Dic59C2311yescharacteristic
370#14273689C2311yescharacteristic
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59—21no—
374C4×C22⋊D59—21no—
375C4×C22⋊D59C2311yescharacteristic
376C4×C22⋊D59C2311yescharacteristic
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4—21no—
380(C22⋊D59)⋊C4—21no—
381(C22⋊D59)⋊C4—21no—
382#14273685—21no—
383C2×C4⋊Dic59C2311yescharacteristic
384C2×C4⋊Dic59C2311yescharacteristic
385C2×Dic59⋊C4—21no—
386C4⋊C4×D59—21no—
387C4⋊C4×D59—21no—
388C4⋊C4×D59C2311yescharacteristic
389C4⋊C4×D59C2311yescharacteristic
390C4⋊C4×D59C2311yescharacteristic
391C2×(C2×D59)⋊C4—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C42×D59C2311yescharacteristic
396#14273659C2311yescharacteristic
397#14273659C2311yescharacteristic
398#14273659C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402#14273658C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442#14273638C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C8×Dic59C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C2×#41×C59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C22×D4×C59C2311yescharacteristic
449AGL(1,ℤ/8)×C59—42no—
450#135×C59—42no—
451C2×Q16×C59C2311yescharacteristic
452C2×Q16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×SD16×C59C2311yescharacteristic
455C2×SD16×C59C2311yescharacteristic
456C2×SD16×C59C2311yescharacteristic
457C2×SD16×C59C2311yescharacteristic
458C2×D8×C59C2311yescharacteristic
459C2×D8×C59C2311yescharacteristic
460C2×M16×C59C2311yescharacteristic
461C22×C8×C59C2311yescharacteristic
462C4⋊Q8×C59C2311yescharacteristic
463#124×C59C2311yescharacteristic
464#123×C59—21no—
465#123×C59—21no—
466#123×C59—21no—
467C22⋊Q8×C59C2311yescharacteristic
468C22⋊Q8×C59C2311yescharacteristic
469C22⋊Q8×C59C2311yescharacteristic
470#121×C59—21no—
471#121×C59—21no—
472#121×C59C2311yescharacteristic
473#120×C59—21no—
474C4×D4×C59C2311yescharacteristic
475C4×D4×C59C2311yescharacteristic
476C4×D4×C59C2311yescharacteristic
477C2×C4⋊C4×C59—21no—
478C2×C22⋊C4×C59—21no—
479#106×C59C2311yescharacteristic
480C4⋊C8×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489#97×C59C2311yescharacteristic
490C24×C59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495#41×C59—22no—
496#41×C59—41no—
497#41×C59—41no—
498#41×C59—41no—
499#41×C59—41no—
500#41×C59—41no—
501C2×Q8×C59C2411yescharacteristic
502C2×Q8×C59C2411yescharacteristic
503C2×Q8×C59C2411yescharacteristic
504C2×D4×C59—22no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59—41no—
511C2×D4×C59C2×D411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C2×D4×C59C2411yescharacteristic
514C2×D4×C59C2411yescharacteristic
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59—21no—
519C22×C4×C59—21no—
520C22×C4×C59C2411yescharacteristic
521C22×C4×C59C2411yescharacteristic
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—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—21no—
537C2×C22⋊D59—21no—
538C2×C22⋊D59—21no—
539C2×C22⋊D59—44no—
540C2×C22⋊D59—44no—
541C2×C22⋊D59—82no—
542C2×C22⋊D59C2×D411yescharacteristic
543C2×C22⋊D59C2×D411yescharacteristic
544C2×C22⋊D59C2×D411yescharacteristic
545C2×C22⋊D59C2×D411yescharacteristic
546C2×C22⋊D59C2×D411yescharacteristic
547C2×C22⋊D59C2×D411yescharacteristic
548C22×Dic59—21no—
549C22×Dic59—21no—
550C22×Dic59—21no—
551C22×Dic59—21no—
552C22×Dic59—21no—
553#11745689—22no—
554#11745689—41no—
555#11745689—41no—
556#11745689—41no—
557#11745689—41no—
558#11745689—41no—
559#11745689—41no—
560#11745689—41no—
561#11745687—22no—
562#11745687—41no—
563#11745687—41no—
564#11745687—41no—
565#11745687—44no—
566#11745687—82no—
567D4×D59—22no—
568D4×D59—22no—
569D4×D59—22no—
570D4×D59—22no—
571D4×D59—41no—
572D4×D59—41no—
573D4×D59—44no—
574D4×D59—44no—
575D4×D59—44no—
576D4×D59—82no—
577#11745685—22no—
578#11745685—41no—
579#11745685—41no—
580#11745685—41no—
581#11745685—41no—
582#11745685—41no—
583#11745685—44no—
584#11745685—82no—
585#11745685—82no—
586C2×D236—22no—
587C2×D236—21no—
588C2×D236—21no—
589C2×D236—21no—
590C2×D236—21no—
591C2×D236—21no—
592C2×D236—21no—
593C2×D236—21no—
594C2×D236—41no—
595C2×D236—44no—
596C2×D236C2×D411yescharacteristic
597C2×D236C2×D411yescharacteristic
598C2×D236C2×D411yescharacteristic
599C2×D236C2411yescharacteristic
600C2×D236C2411yescharacteristic
601C2×D236C2411yescharacteristic
602C2×C4×D59—21no—
603C2×C4×D59—21no—
604C2×C4×D59—21no—
605C2×C4×D59—21no—
606C2×C4×D59—21no—
607C2×C4×D59—21no—
608C2×C4×D59—21no—
609C2×C4×D59—21no—
610C2×C4×D59—21no—
611C2×C4×D59—21no—
612C2×C4×D59—21no—
613C2×C4×D59—82no—
614C2×C4×D59C2×D411yescharacteristic
615C2×C4×D59C2×D411yescharacteristic
616C2×C4×D59C2411yescharacteristic
617C2×C4×D59C2411yescharacteristic
618C2×C4×D59C2411yescharacteristic
619C2×Dic118—21no—
620C2×Dic118—21no—
621C2×Dic118C2×D411yescharacteristic
622C2×Dic118C2×D411yescharacteristic
623C2×Dic118C2411yescharacteristic
624Q16×C59—41no—
625Q16×C59—41no—
626SD16×C59—22no—
627SD16×C59—22no—
628SD16×C59—41no—
629SD16×C59—41no—
630SD16×C59—41no—
631D8×C59—22no—
632D8×C59—41no—
633M16×C59—41no—
634C2×C8×C59—41no—
635C2×C8×C59C2411yescharacteristic
636C2×C8×C59C2411yescharacteristic
637C2×C8×C59C2411yescharacteristic
638C2×C8×C59C2411yescharacteristic
639C4⋊C4×C59—21no—
640C4⋊C4×C59—21no—
641C4⋊C4×C59—21no—
642C4⋊C4×C59—21no—
643C4⋊C4×C59—21no—
644C4⋊C4×C59C2×D411yescharacteristic
645C4⋊C4×C59C2411yescharacteristic
646C4⋊C4×C59C2411yescharacteristic
647C22⋊C4×C59—21no—
648C22⋊C4×C59—21no—
649C22⋊C4×C59—21no—
650C22⋊C4×C59—21no—
651C22⋊C4×C59—21no—
652C22⋊C4×C59—21no—
653C22⋊C4×C59—21no—
654C22⋊C4×C59—21no—
655C22⋊C4×C59C2×D411yescharacteristic
656C22⋊C4×C59C2×D411yescharacteristic
657C42×C59C2411yescharacteristic
658C22⋊Dic59—21no—
659C22⋊Dic59—21no—
660C22⋊Dic59—21no—
661C22⋊Dic59—21no—
662C22⋊Dic59—21no—
663C22⋊Dic59—21no—
664C22⋊Dic59C2×D411yescharacteristic
665C22⋊Dic59C2×D411yescharacteristic
666#11745672—41no—
667#11745672—41no—
668#11745671—22no—
669#11745671—22no—
670#11745671—41no—
671#11745671—41no—
672#11745671—41no—
673#11745670—41no—
674#11745669—22no—
675#11745669—22no—
676#11745669—41no—
677#11745669—41no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4—21no—
693(C2×D59)⋊C4—21no—
694(C2×D59)⋊C4C2×D411yescharacteristic
695(C2×D59)⋊C4C2×D411yescharacteristic
696(C2×D59)⋊C4C2×D411yescharacteristic
697(C2×D59)⋊C4C2×D411yescharacteristic
698C4⋊Dic59—21no—
699C4⋊Dic59—21no—
700C4⋊Dic59—21no—
701C4⋊Dic59—21no—
702C4⋊Dic59—21no—
703C4⋊Dic59—21no—
704C4⋊Dic59C2×D411yescharacteristic
705C4⋊Dic59C2411yescharacteristic
706C4⋊Dic59C2411yescharacteristic
707C4⋊Dic59C2411yescharacteristic
708C4⋊Dic59C2411yescharacteristic
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4—21no—
718Dic59⋊C4—21no—
719Dic59⋊C4—21no—
720Dic59⋊C4—21no—
721Dic59⋊C4C2×D411yescharacteristic
722Dic59⋊C4C2×D411yescharacteristic
723C4×Dic59—21no—
724C4×Dic59—21no—
725C4×Dic59C2×D411yescharacteristic
726C4×Dic59C2×D411yescharacteristic
727C4×Dic59C2411yescharacteristic
728#11745664—41no—
729C2×C59⋊C8—41no—
730C2×C59⋊C8C2411yescharacteristic
731C2×C59⋊C8C2411yescharacteristic
732C2×C59⋊C8C2411yescharacteristic
733C2×C59⋊C8C2411yescharacteristic
734D472—22no—
735D472—41no—
736#11745660—41no—
737#11745659—41no—
738#11745659—41no—
739C8×D59—41no—
740C8×D59—41no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59—21no—
744C23×C59—42no—
745C23×C59—81no—
746C23×C59—81no—
747C23×C59C22×D411yescharacteristic
748C23×C59C22×D411yescharacteristic
749C22×D59—21no—
750C22×D59—24no—
751C22×D59—21no—
752C22×D59—21no—
753C22×D59—42no—
754C22×D59—42no—
755C22×D59—42no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59—81no—
761C22×D59—81no—
762C22×D59—81no—
763C22×D59—81no—
764C22×D59C22×D411yescharacteristic
765C22×D59C22×D411yescharacteristic
766C22×D59C22×D411yescharacteristic
767Q8×C59—21no—
768Q8×C59—21no—
769Q8×C59—21no—
770Q8×C59—21no—
771Q8×C59—21no—
772Q8×C59—21no—
773D4×C59—21no—
774D4×C59—21no—
775D4×C59—21no—
776D4×C59—21no—
777D4×C59—21no—
778D4×C59—41no—
779D4×C59—42no—
780D4×C59—42no—
781D4×C59—81no—
782D4×C59—81no—
783D4×C59—81no—
784D4×C59H(5,𝔽2)12yes—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—42no—
795C2×C4×C59—42no—
796C2×C4×C59—81no—
797C2×C4×C59—81no—
798C2×C4×C59—81no—
799C2×C4×C59C22×D411yescharacteristic
800C2×C4×C59C22×D411yescharacteristic
801C2×C4×C59C22×D411yescharacteristic
802C2×C4×C59C22×D411yescharacteristic
803C2×C4×C59C2511yescharacteristic
804C22⋊D59—24no—
805C22⋊D59—22no—
806C22⋊D59—22no—
807C22⋊D59—41no—
808C22⋊D59—41no—
809C22⋊D59—41no—
810C22⋊D59—41no—
811C22⋊D59—42no—
812C22⋊D59—42no—
813C22⋊D59—42no—
814C22⋊D59—42no—
815C22⋊D59—42no—
816C22⋊D59—42no—
817C22⋊D59—42no—
818C22⋊D59—81no—
819C22⋊D59—81no—
820C22⋊D59—81no—
821C22⋊D59—81no—
822C22⋊D59—81no—
823C22⋊D59—81no—
824C22⋊D59—81no—
825C22⋊D59—81no—
826C22⋊D59—81no—
827C2×Dic59—21no—
828C2×Dic59—21no—
829C2×Dic59—21no—
830C2×Dic59—21no—
831C2×Dic59—21no—
832C2×Dic59—42no—
833C2×Dic59—42no—
834C2×Dic59—42no—
835C2×Dic59—81no—
836C2×Dic59—81no—
837C2×Dic59C22×D411yescharacteristic
838C2×Dic59C22×D411yescharacteristic
839C2×Dic59C22×D411yescharacteristic
840C2×Dic59C22×D411yescharacteristic
841C2×Dic59C22×D411yescharacteristic
842D236—21no—
843D236—21no—
844D236—21no—
845D236—21no—
846D236—21no—
847D236—41no—
848D236—41no—
849D236—41no—
850D236—42no—
851D236—42no—
852D236—42no—
853D236—81no—
854D236—81no—
855D236—81no—
856D236—81no—
857D236H(5,𝔽2)12yes—
858C4×D59—21no—
859C4×D59—21no—
860C4×D59—21no—
861C4×D59—21no—
862C4×D59—21no—
863C4×D59—21no—
864C4×D59—22no—
865C4×D59—41no—
866C4×D59—42no—
867C4×D59—42no—
868C4×D59—42no—
869C4×D59—42no—
870C4×D59—42no—
871C4×D59—81no—
872C4×D59—81no—
873C4×D59—81no—
874C4×D59—81no—
875C4×D59—81no—
876C4×D59—81no—
877Dic118—21no—
878Dic118—21no—
879Dic118—41no—
880Dic118—41no—
881Dic118—42no—
882Dic118—81no—
883C8×C59—21no—
884C8×C59—21no—
885C8×C59—21no—
886C8×C59—21no—
887C59⋊C8—21no—
888C59⋊C8—21no—
889C59⋊C8—21no—
890C59⋊C8—21no—
891#61685—591nomaximal, Sylow
892C22×C59—21no—
893C22×C59—21no—
894C22×C59—22no—
895C22×C59—21no—
896C22×C59—21no—
897C22×C59—21no—
898C22×C59—21no—
899C22×C59—41no—
900C22×C59—41no—
901C22×C59—41no—
902C22×C59—41no—
903C22×C59—41no—
904C22×C59—41no—
905C22×C59—41no—
906C22×C59—41no—
907C22×C59—162no—
908C22×C59C23×D411yescharacteristic
909C2×D59—21no—
910C2×D59—21no—
911C2×D59—21no—
912C2×D59—21no—
913C2×D59—21no—
914C2×D59—21no—
915C2×D59—22no—
916C2×D59—21no—
917C2×D59—21no—
918C2×D59—21no—
919C2×D59—41no—
920C2×D59—41no—
921C2×D59—41no—
922C2×D59—41no—
923C2×D59—41no—
924C2×D59—41no—
925C2×D59—41no—
926C2×D59—41no—
927C2×D59—84no—
928C2×D59—162no—
929C2×D59—162no—
930C2×D59—162no—
931C4×C59—21no—
932C4×C59—21no—
933C4×C59—21no—
934C4×C59—21no—
935C4×C59—41no—
936C4×C59—41no—
937C4×C59—41no—
938C4×C59—41no—
939C4×C59—41no—
940C4×C59C2×H(5,𝔽2)11yescharacteristic
941C4×C59C2×H(5,𝔽2)11yescharacteristic
942Dic59—21no—
943Dic59—21no—
944Dic59—21no—
945Dic59—21no—
946Dic59—41no—
947Dic59—41no—
948Dic59—41no—
949Dic59—41no—
950Dic59—41no—
951Dic59#57712yes—
952#3548—591no—
953#3496—591no—
954#3331—591no—
955#3331—591no—
956#3306—591no—
957#3306—591no—
958#3306—591no—
959#3306—591no—
960#3295—591no—
961#3295—591no—
962#3284—591no—
963#3284—591no—
964#3274—591no—
965#3274—591no—
966#3267—591no—
967#3267—591no—
968#3267—591no—
969#3267D5911yescharacteristic, complemented
970#3216—591no—
971#3207—591no—
972#3204—591no—
973#3204—591no—
974#3204—591no—
975#3204—591no—
976#3109—591no—
977#3101—591no—
978#3012—591no—
979#3012—591no—
980#3012—591no—
981#3012—591no—
982#2981—591no—
983C2×C59—42no—
984C2×C59—41no—
985C2×C59—41no—
986C2×C59—81no—
987C2×C59—81no—
988C2×C59#348411yescharacteristic
989C2×C59C2×#57711yescharacteristic
990C2×C59#358511yescharacteristic
991D59—41no—
992D59—41no—
993D59—41no—
994D59—42no—
995D59—81no—
996D59—81no—
997C2×H(5,𝔽2)—591no—
998C2×H(5,𝔽2)—591no—
999C2×AGL(1,ℤ/8)—591no—
1000C2×AGL(1,ℤ/8)—591no—
1001C2×AGL(1,ℤ/8)—591no—
1002C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
1003C2×#135—591no—
1004C2×#135—591no—
1005C2×#135—591no—
1006C2×#135C2×D5911yescharacteristic, complemented
1007#562—1181no—
1008#562—1181no—
1009#554—591no—
1010#554—591no—
1011#554—1181no—
1012#550—591no—
1013#550—591no—
1014#550—1181no—
1015#547—591no—
1016#547—591no—
1017#547—591no—
1018#547—591no—
1019#547—591no—
1020#547—1181no—
1021#547C2×D5911yescharacteristic, complemented
1022#546—591no—
1023#546—591no—
1024#546—591no—
1025#546—1181no—
1026#546—1181no—
1027#546C2×D5911yescharacteristic
1028D42—591no—
1029D42—591no—
1030D42—1181no—
1031#540—1181no—
1032#540—1181no—
1033#537—591no—
1034#537—591no—
1035#537—591no—
1036#537—591no—
1037#537—591no—
1038#537—591no—
1039#537—1181no—
1040#537—1181no—
1041#534—1181no—
1042#534—1181no—
1043#533—591no—
1044#532—591no—
1045#532—591no—
1046#532—591no—
1047C2×#121—1181no—
1048C2×#121—1181no—
1049C2×C4×D4—591no—
1050#497—591no—
1051#497C2×D5911yescharacteristic, complemented
1052#493—591no—
1053#492—591no—
1054#489—591no—
1055#489—591no—
1056#487—591no—
1057#486—591no—
1058#483—591no—
1059#483—591no—
1060#483—591no—
1061#483—591no—
1062#483—591no—
1063#483—591no—
1064#481—591no—
1065#481—591no—
1066#481—591no—
1067#481—591no—
1068#481—591no—
1069#481—591no—
1070#476—591no—
1071#476—591no—
1072#476—591no—
1073#476—591no—
1074#470—591no—
1075#470—591no—
1076#470—591no—
1077#470C2×D5911yescharacteristic, complemented
1078#469—591no—
1079#469—591no—
1080#469—591no—
1081#469—591no—
1082#465—591no—
1083#465—591no—
1084#465—591no—
1085#465—591no—
1086#465—591no—
1087#465—591no—
1088#465—591no—
1089#465C2×D5911yescharacteristic, complemented
1090#463—591no—
1091#463—591no—
1092#463—591no—
1093#463C2×D5911yescharacteristic, complemented
1094#462—591no—
1095#462—591no—
1096#461—591no—
1097#461C2×D5911yescharacteristic, complemented
1098#460—591no—
1099#460—591no—
1100#459—591no—
1101#459—591no—
1102#452—591no—
1103#452—591no—
1104#452—591no—
1105#452—591no—
1106#452—591no—
1107#452—591no—
1108#452—591no—
1109#452—591no—
1110#452—591no—
1111#452—591no—
1112#452C2×D5911yescharacteristic, complemented
1113#452C2×D5911yescharacteristic, complemented
1114#450—591no—
1115#450—591no—
1116#450—591no—
1117#450—591no—
1118#450—591no—
1119#450C2×D5911yescharacteristic, complemented
1120#449—591no—
1121#449—591no—
1122#449—591no—
1123#449—591no—
1124#449—591no—
1125#449—591no—
1126#449—591no—
1127#449—591no—
1128#449—591no—
1129#449—591no—
1130#449—591no—
1131#449C2×D5911yescharacteristic, complemented
1132#447—591no—
1133#447—591no—
1134#447—591no—
1135#447—591no—
1136#447—591no—
1137#447—591no—
1138#442—591no—
1139#442—591no—
1140#442—591no—
1141#442C2×D5911yescharacteristic, complemented
1142C4×SD16—591no—
1143C4×SD16—591no—
1144C4×SD16—591no—
1145C4×SD16—591no—
1146#436—591no—
1147#436—591no—
1148#435—591no—
1149#435—591no—
1150#435—591no—
1151#435C2×D5911yescharacteristic, complemented
1152C8×D4—591no—
1153C8×D4—591no—
1154#432—591no—
1155#431—591no—
1156#417—591no—
1157#417—591no—
1158#417—591no—
1159#417—591no—
1160C2×#102—591no—
1161C2×#102—591no—
1162C2×#102—591no—
1163C2×#102—591no—
1164#408—591no—
1165#408—591no—
1166#408—591no—
1167#408—591no—
1168C59#6168511yescharacteristic, complemented, Sylow
1169H(5,𝔽2)—2362no—
1170H(5,𝔽2)—2362no—
1171H(5,𝔽2)—2362no—
1172H(5,𝔽2)—2362no—
1173C2×#41—591no—
1174C2×#41—591no—
1175C2×#41—591no—
1176C2×#41—591no—
1177C2×#41—591no—
1178C2×#41—591no—
1179C2×#41—591no—
1180C2×#41—591no—
1181C2×#41—591no—
1182C2×#41—1181no—
1183C2×#41—1181no—
1184C2×#41—1181no—
1185C2×#41—1181no—
1186C2×#41—1181no—
1187C2×#41C22×D5911yescharacteristic
1188C2×#41C22×D5911yescharacteristic
1189C2×#41C22×D5911yescharacteristic
1190C22×D4—591no—
1191C22×D4—591no—
1192C22×D4—591no—
1193C22×D4—591no—
1194C22×D4—1181no—
1195C22×D4—1181no—
1196C22×D4—1181no—
1197C22×D4—1181no—
1198C22×D4—1181no—
1199C22×D4—1181no—
1200C22×D4—1181no—
1201C22×D4—1181no—
1202C22×D4C22×D5911yescharacteristic
1203C23×C4—1181no—
1204AGL(1,ℤ/8)—42no—
1205AGL(1,ℤ/8)—2362no—
1206AGL(1,ℤ/8)—2362no—
1207AGL(1,ℤ/8)—2362no—
1208#135—42no—
1209#135—2362no—
1210#135—2362no—
1211#135—2362no—
1212C2×Q16—591no—
1213C2×Q16—591no—
1214C2×Q16C22×D5911yescharacteristic
1215C2×Q16C22×D5911yescharacteristic
1216C2×SD16—591no—
1217C2×SD16—591no—
1218C2×SD16—591no—
1219C2×SD16—591no—
1220C2×SD16—591no—
1221C2×SD16—591no—
1222C2×SD16—591no—
1223C2×SD16C22×D5911yescharacteristic
1224C2×SD16C22×D5911yescharacteristic
1225C2×SD16C22×D5911yescharacteristic
1226C2×SD16C22×D5911yescharacteristic
1227C2×SD16C22×D5911yescharacteristic
1228C2×D8—591no—
1229C2×D8—591no—
1230C2×D8—591no—
1231C2×D8—591no—
1232C2×D8—591no—
1233C2×D8—591no—
1234C2×D8C22×D5911yescharacteristic
1235C2×D8C22×D5911yescharacteristic
1236C2×M16—591no—
1237C2×M16—591no—
1238C2×M16—591no—
1239C2×M16C22×D5911yescharacteristic
1240C22×C8—591no—
1241C22×C8—591no—
1242C22×C8—591no—
1243C22×C8C22×D5911yescharacteristic
1244C4⋊Q8—591no—
1245C4⋊Q8—591no—
1246C4⋊Q8—591no—
1247C4⋊Q8—591no—
1248C4⋊Q8C22×D5911yescharacteristic
1249#127—591no—
1250#127—591no—
1251#127—591no—
1252#127—1181no—
1253#127—1181no—
1254#125—1181no—
1255#125—1181no—
1256#125—1181no—
1257#124—591no—
1258#124—591no—
1259#124—591no—
1260#124—1181no—
1261#124C22×D5911yescharacteristic
1262#123—21no—
1263#123—21no—
1264#123—21no—
1265#123—1181no—
1266#123—1181no—
1267#123—1181no—
1268#123—1181no—
1269#123—1181no—
1270#123—1181no—
1271#123—1181no—
1272#123—1181no—
1273#123—1181no—
1274#123—1181no—
1275#123—1181no—
1276#123—1181no—
1277#123—1181no—
1278C22⋊Q8—591no—
1279C22⋊Q8—591no—
1280C22⋊Q8—591no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—591no—
1285C22⋊Q8—1181no—
1286C22⋊Q8—1181no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8—1181no—
1293C22⋊Q8—1181no—
1294C22⋊Q8—1181no—
1295C22⋊Q8—1181no—
1296C22⋊Q8—1181no—
1297C22⋊Q8—1181no—
1298C22⋊Q8C22×D5911yescharacteristic
1299C22⋊Q8C22×D5911yescharacteristic
1300C22⋊Q8C22×D5911yescharacteristic
1301#121—21no—
1302#121—21no—
1303#121—591no—
1304#121—591no—
1305#121—591no—
1306#121—591no—
1307#121—591no—
1308#121—591no—
1309#121—591no—
1310#121—591no—
1311#121—591no—
1312#121—591no—
1313#121—591no—
1314#121—591no—
1315#121—591no—
1316#121—1181no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121—1181no—
1329#121—1181no—
1330#121—1181no—
1331#121—1181no—
1332#121—1181no—
1333#121—1181no—
1334#121—1181no—
1335#121—1181no—
1336#121—1181no—
1337#121—1181no—
1338#121—1181no—
1339#121—1181no—
1340#121—1181no—
1341#121—1181no—
1342#121—1181no—
1343#121—1181no—
1344#121—1181no—
1345#121—1181no—
1346#121—1181no—
1347#121—1181no—
1348#121—1181no—
1349#121C22×D5911yescharacteristic
1350#120—21no—
1351#120—1181no—
1352#120—1181no—
1353#120—1181no—
1354#120—1181no—
1355#120—1181no—
1356#120—1181no—
1357#120—1181no—
1358C4×Q8—591no—
1359C4×Q8—591no—
1360C4×Q8—1181no—
1361C4×D4—591no—
1362C4×D4—591no—
1363C4×D4—591no—
1364C4×D4—591no—
1365C4×D4—591no—
1366C4×D4—591no—
1367C4×D4—591no—
1368C4×D4—1181no—
1369C4×D4—1181no—
1370C4×D4—1181no—
1371C4×D4—1181no—
1372C4×D4—1181no—
1373C4×D4—1181no—
1374C4×D4—1181no—
1375C4×D4—1181no—
1376C4×D4—1181no—
1377C4×D4C22×D5911yescharacteristic
1378C4×D4C22×D5911yescharacteristic
1379C4×D4C22×D5911yescharacteristic
1380#117—1181no—
1381C2×C4⋊C4—21no—
1382C2×C4⋊C4—591no—
1383C2×C4⋊C4—591no—
1384C2×C4⋊C4—591no—
1385C2×C4⋊C4—591no—
1386C2×C4⋊C4—591no—
1387C2×C4⋊C4—1181no—
1388C2×C4⋊C4—1181no—
1389C2×C4⋊C4—1181no—
1390C2×C22⋊C4—21no—
1391C2×C22⋊C4—1181no—
1392C2×C22⋊C4—1181no—
1393C2×C22⋊C4—1181no—
1394C2×C22⋊C4—1181no—
1395C2×C42—591no—
1396#106—591no—
1397#106—591no—
1398#106—591no—
1399#106—591no—
1400#106—591no—
1401#106—591no—
1402#106—591no—
1403#106C22×D5911yescharacteristic
1404C4⋊C8—591no—
1405C4⋊C8—591no—
1406C4⋊C8—591no—
1407C4⋊C8C22×D5911yescharacteristic
1408#103—591no—
1409#103—591no—
1410#103—591no—
1411#103—591no—
1412#103—591no—
1413#103—591no—
1414#103—591no—
1415#103—591no—
1416#103—591no—
1417#103C22×D5911yescharacteristic
1418#103C22×D5911yescharacteristic
1419#103C22×D5911yescharacteristic
1420#102—591no—
1421#102—591no—
1422#102—591no—
1423#102—591no—
1424#102—591no—
1425#102—591no—
1426#102—591no—
1427#102—591no—
1428#102—591no—
1429#102—591no—
1430#102—591no—
1431#102—591no—
1432#102—591no—
1433#102—591no—
1434#102—591no—
1435#102—591no—
1436#102—591no—
1437#102C22×D5911yescharacteristic
1438#102C22×D5911yescharacteristic
1439#102C22×D5911yescharacteristic
1440C22⋊C8—591no—
1441C22⋊C8—591no—
1442C22⋊C8—591no—
1443C22⋊C8—591no—
1444C22⋊C8—591no—
1445C22⋊C8—591no—
1446C22⋊C8—591no—
1447C22⋊C8—591no—
1448C22⋊C8—591no—
1449C22⋊C8—591no—
1450C22⋊C8C22×D5911yescharacteristic
1451C22⋊C8C22×D5911yescharacteristic
1452#97—591no—
1453#97C22×D5911yescharacteristic
1454C4×C8—591no—
1455C4×C8—591no—
1456C24—21no—
1457C24—1181no—
1458C24—1181no—
1459C24—1181no—
1460C24—1181no—
1461#41—22no—
1462#41—41no—
1463#41—41no—
1464#41—41no—
1465#41—41no—
1466#41—41no—
1467#41—1182no—
1468#41—1182no—
1469#41—1182no—
1470#41—4722no—
1471#41—4722no—
1472#41—4722no—
1473#41—2361no—
1474#41—2361no—
1475#41—2361no—
1476#41—2361no—
1477#41—2361no—
1478#41—2364no—
1479#41—2361no—
1480#41—2361no—
1481#41—2361no—
1482#41—2361no—
1483#41—2361no—
1484#41—2361no—
1485#41—2361no—
1486#41—2361no—
1487#41—2361no—
1488#41—2361no—
1489#41—2364no—
1490C2×Q8—591no—
1491C2×Q8—591no—
1492C2×Q8—591no—
1493C2×Q8—1181no—
1494C2×Q8—1181no—
1495C2×Q8C23×D5911yescharacteristic
1496C2×Q8C23×D5911yescharacteristic
1497C2×Q8C23×D5911yescharacteristic
1498C2×D4—22no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—41no—
1505C2×D4—591no—
1506C2×D4—591no—
1507C2×D4—591no—
1508C2×D4—591no—
1509C2×D4—591no—
1510C2×D4—591no—
1511C2×D4—591no—
1512C2×D4—591no—
1513C2×D4—591no—
1514C2×D4—591no—
1515C2×D4—591no—
1516C2×D4—591no—
1517C2×D4—1182no—
1518C2×D4—1181no—
1519C2×D4—1181no—
1520C2×D4—1181no—
1521C2×D4—1181no—
1522C2×D4—1181no—
1523C2×D4—1181no—
1524C2×D4—1181no—
1525C2×D4—1181no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1182no—
1532C2×D4—1182no—
1533C2×D4—1182no—
1534C2×D4—1182no—
1535C2×D4—1181no—
1536C2×D4—1181no—
1537C2×D4—1181no—
1538C2×D4—1181no—
1539C2×D4—1181no—
1540C2×D4—1181no—
1541C2×D4—1181no—
1542C2×D4—1181no—
1543C2×D4—1181no—
1544C2×D4—1181no—
1545C2×D4—1181no—
1546C2×D4—4722no—
1547C2×D4—4722no—
1548C2×D4—2361no—
1549C2×D4—2364no—
1550C2×D4—2361no—
1551C2×D4—2361no—
1552C2×D4—2364no—
1553C2×D4—2364no—
1554C2×D4—2364no—
1555C2×D4—2364no—
1556C2×D4—2364no—
1557C2×D4D4×D5911yescharacteristic
1558C2×D4C23×D5911yescharacteristic
1559C2×D4C23×D5911yescharacteristic
1560C2×D4C23×D5911yescharacteristic
1561C22×C4—21no—
1562C22×C4—21no—
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—591no—
1567C22×C4—591no—
1568C22×C4—591no—
1569C22×C4—591no—
1570C22×C4—591no—
1571C22×C4—1181no—
1572C22×C4—1181no—
1573C22×C4—1181no—
1574C22×C4—1181no—
1575C22×C4—1181no—
1576C22×C4—1181no—
1577C22×C4—1181no—
1578C22×C4—1181no—
1579C22×C4—1181no—
1580C22×C4—1181no—
1581C22×C4—1181no—
1582C22×C4—1181no—
1583C22×C4—1181no—
1584C22×C4—1181no—
1585C22×C4—1181no—
1586C22×C4—1181no—
1587C22×C4—4722no—
1588C22×C4C23×D5911yescharacteristic
1589C22×C4C23×D5911yescharacteristic
1590Q16—41no—
1591Q16—41no—
1592Q16—2361no—
1593Q16—2361no—
1594SD16—22no—
1595SD16—22no—
1596SD16—41no—
1597SD16—41no—
1598SD16—41no—
1599SD16—1182no—
1600SD16—1182no—
1601SD16—2361no—
1602SD16—2361no—
1603SD16—2361no—
1604SD16—2361no—
1605SD16—2361no—
1606D8—22no—
1607D8—41no—
1608D8—1182no—
1609D8—1182no—
1610D8—1182no—
1611D8—2361no—
1612D8—2361no—
1613D8—2361no—
1614M16—41no—
1615M16—2361no—
1616M16—2361no—
1617M16—2361no—
1618C2×C8—41no—
1619C2×C8—591no—
1620C2×C8—591no—
1621C2×C8—591no—
1622C2×C8—591no—
1623C2×C8—2361no—
1624C2×C8—2361no—
1625C2×C8—2361no—
1626C2×C8C23×D5911yescharacteristic
1627C2×C8C23×D5911yescharacteristic
1628C2×C8C23×D5911yescharacteristic
1629C2×C8C23×D5911yescharacteristic
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—21no—
1633C4⋊C4—21no—
1634C4⋊C4—21no—
1635C4⋊C4—591no—
1636C4⋊C4—591no—
1637C4⋊C4—591no—
1638C4⋊C4—591no—
1639C4⋊C4—591no—
1640C4⋊C4—591no—
1641C4⋊C4—591no—
1642C4⋊C4—1181no—
1643C4⋊C4—1181no—
1644C4⋊C4—1181no—
1645C4⋊C4—1181no—
1646C4⋊C4—1181no—
1647C4⋊C4—1181no—
1648C4⋊C4—1181no—
1649C4⋊C4—1181no—
1650C4⋊C4—1181no—
1651C4⋊C4—1181no—
1652C4⋊C4—1181no—
1653C4⋊C4—1181no—
1654C4⋊C4—1181no—
1655C4⋊C4—1181no—
1656C4⋊C4—1181no—
1657C4⋊C4—1181no—
1658C4⋊C4—1181no—
1659C4⋊C4—1181no—
1660C4⋊C4D4×D5911yescharacteristic
1661C4⋊C4C23×D5911yescharacteristic
1662C4⋊C4C23×D5911yescharacteristic
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—591no—
1672C22⋊C4—591no—
1673C22⋊C4—591no—
1674C22⋊C4—591no—
1675C22⋊C4—591no—
1676C22⋊C4—591no—
1677C22⋊C4—1181no—
1678C22⋊C4—1181no—
1679C22⋊C4—1181no—
1680C22⋊C4—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4—1181no—
1683C22⋊C4—1181no—
1684C22⋊C4—1181no—
1685C22⋊C4—1181no—
1686C22⋊C4—1181no—
1687C22⋊C4—1181no—
1688C22⋊C4—1181no—
1689C22⋊C4—1181no—
1690C22⋊C4—1181no—
1691C22⋊C4—1181no—
1692C22⋊C4—1181no—
1693C22⋊C4—1181no—
1694C22⋊C4—1181no—
1695C22⋊C4—1181no—
1696C22⋊C4—1181no—
1697C22⋊C4—1181no—
1698C22⋊C4—1181no—
1699C22⋊C4D4×D5911yescharacteristic
1700C22⋊C4D4×D5911yescharacteristic
1701C42—591no—
1702C42—591no—
1703C42—591no—
1704C42—1181no—
1705C42—1181no—
1706C42C23×D5911yescharacteristic
1707C23—21no—
1708C23—21no—
1709C23—21no—
1710C23—42no—
1711C23—81no—
1712C23—81no—
1713C23—591no—
1714C23—591no—
1715C23—591no—
1716C23—1184no—
1717C23—1181no—
1718C23—1181no—
1719C23—1181no—
1720C23—4721no—
1721C23—4721no—
1722C23—4721no—
1723C23—4721no—
1724C23—4721no—
1725C23—4721no—
1726C23—4721no—
1727C23—4721no—
1728C23—2362no—
1729C23—2362no—
1730C23—2362no—
1731C23C2×D4×D5911yescharacteristic
1732C23C2×D4×D5911yescharacteristic
1733Q8—21no—
1734Q8—21no—
1735Q8—21no—
1736Q8—21no—
1737Q8—21no—
1738Q8—21no—
1739Q8—1181no—
1740Q8—1181no—
1741Q8—4721no—
1742Q8—2361no—
1743Q8—2361no—
1744Q8—2362no—
1745D4—21no—
1746D4—21no—
1747D4—21no—
1748D4—21no—
1749D4—21no—
1750D4—41no—
1751D4—42no—
1752D4—42no—
1753D4—81no—
1754D4—81no—
1755D4—81no—
1756D4—592no—
1757D4—1182no—
1758D4—1182no—
1759D4—1184no—
1760D4—1181no—
1761D4—1181no—
1762D4—1181no—
1763D4—1181no—
1764D4—1181no—
1765D4—4721no—
1766D4—4721no—
1767D4—4721no—
1768D4—4721no—
1769D4—4721no—
1770D4—4721no—
1771D4—4721no—
1772D4—4721no—
1773D4—4721no—
1774D4—4721no—
1775D4—4721no—
1776D4—4721no—
1777D4—4721no—
1778D4—2361no—
1779D4—2361no—
1780D4—2361no—
1781D4—2362no—
1782D4—2362no—
1783D4—2362no—
1784D4—2362no—
1785D4—2362no—
1786D4—2361no—
1787D4—2361no—
1788D4—2361no—
1789D4—2361no—
1790D4—2362no—
1791D4—2362no—
1792D4—2362no—
1793D4—2362no—
1794D4—2362no—
1795D4#1427377212yes—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—42no—
1806C2×C4—42no—
1807C2×C4—81no—
1808C2×C4—81no—
1809C2×C4—81no—
1810C2×C4—591no—
1811C2×C4—591no—
1812C2×C4—591no—
1813C2×C4—591no—
1814C2×C4—591no—
1815C2×C4—1182no—
1816C2×C4—1181no—
1817C2×C4—1181no—
1818C2×C4—1181no—
1819C2×C4—1181no—
1820C2×C4—1181no—
1821C2×C4—1181no—
1822C2×C4—1181no—
1823C2×C4—1181no—
1824C2×C4—1181no—
1825C2×C4—1181no—
1826C2×C4—1181no—
1827C2×C4—4721no—
1828C2×C4—4721no—
1829C2×C4—4721no—
1830C2×C4—4721no—
1831C2×C4—4721no—
1832C2×C4—4721no—
1833C2×C4—4721no—
1834C2×C4—4721no—
1835C2×C4—2361no—
1836C2×C4—2362no—
1837C2×C4—2362no—
1838C2×C4—2362no—
1839C2×C4—2362no—
1840C2×C4—2362no—
1841C2×C4—2362no—
1842C2×C4—2362no—
1843C2×C4—2362no—
1844C2×C4C2×D4×D5911yescharacteristic
1845C2×C4C2×D4×D5911yescharacteristic
1846C2×C4C2×D4×D5911yescharacteristic
1847C2×C4C2×D4×D5911yescharacteristic
1848C2×C4C24×D5911yescharacteristic
1849C8—21no—
1850C8—21no—
1851C8—21no—
1852C8—21no—
1853C8—1181no—
1854C8—1181no—
1855C8—1181no—
1856C8—1181no—
1857C22—21no—
1858C22—21no—
1859C22—22no—
1860C22—21no—
1861C22—21no—
1862C22—21no—
1863C22—21no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—162no—
1873C22—1181no—
1874C22—1181no—
1875C22—1181no—
1876C22—1182no—
1877C22—1181no—
1878C22—1181no—
1879C22—1181no—
1880C22—1181no—
1881C22—1181no—
1882C22—1181no—
1883C22—9442no—
1884C22—9442no—
1885C22—9442no—
1886C22—4724no—
1887C22—2361no—
1888C22—2361no—
1889C22—2361no—
1890C22—2361no—
1891C22—2361no—
1892C22—2361no—
1893C22—2361no—
1894C22—2361no—
1895C22C22×D4×D5911yescharacteristic
1896C4—21no—
1897C4—21no—
1898C4—21no—
1899C4—21no—
1900C4—41no—
1901C4—41no—
1902C4—41no—
1903C4—41no—
1904C4—41no—
1905C4—592no—
1906C4—1181no—
1907C4—1181no—
1908C4—1181no—
1909C4—1181no—
1910C4—2361no—
1911C4—2361no—
1912C4—2361no—
1913C4—2361no—
1914C4—2361no—
1915C4H(5,𝔽2)×D5911yescharacteristic
1916C4C2×#1427377211yescharacteristic
1917C2—41no—
1918C2—41no—
1919C2—42no—
1920C2—81no—
1921C2—81no—
1922C2—4721no—
1923C2—4721no—
1924C2—2361no—
1925C2—2361no—
1926C2—2361no—
1927C2—2362no—
1928C2#2143772411yescharacteristic
1929C2#577×D5911yescharacteristic
1930C2#2143887311yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3267C2
socleC22×C59C23×D4
hypercenter#3267D59
hypocenterC59#61685
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3267

Complements

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

NH ≅ G/Ntype
1. #21438493C2semidirect
2. #21437856C2semidirect
3. #21436407C2semidirect
4. #21436405C2semidirect
5. #21436064C2semidirect
6. #21436062C2semidirect
7. #21436059C2semidirect
8. #21436057C2semidirect
9. #21435915C2semidirect
10. #21435913C2semidirect
11. #21435820C2semidirect
12. #21435819C2semidirect
13. #21435710C2semidirect
14. #21435709C2semidirect
15. #21435627C2semidirect
16. #21435622C2semidirect
17. #21435620C2semidirect
18. #21435102C2semidirect
19. #21435028C2semidirect
20. #21435005C2semidirect
21. #21435004C2semidirect
22. #21435003C2semidirect
23. #21435001C2semidirect
24. #21434185C2semidirect
25. #21434103C2semidirect
26. #21433404C2semidirect
27. #21433401C2semidirect
28. #21433399C2semidirect
29. #21433396C2semidirect
30. #21433168C2semidirect
31. C59×#3267C2semidirect
34. C2×#14273754C22semidirect
35. C2×#14273754C22semidirect
36. C2×#14273752C22semidirect
37. C2×#14273750C22semidirect
38. C2×#14273748C22semidirect
39. C2×#14273747C22semidirect
42. #16838110C22semidirect
43. #16838110C22semidirect
45. #16838071C22semidirect
46. #16838071C22semidirect
48. #16838057C22semidirect
49. #16838056C22semidirect
50. #16838055C22semidirect
66. #16837982C22semidirect
67. #16837982C22semidirect
70. #16837980C22semidirect
71. #16837980C22semidirect
74. #16837957C22semidirect
77. #16837949C22semidirect
81. #16837794C22semidirect
82. #16837777C22semidirect
83. #16837773C22semidirect
84. #16837762C22semidirect
85. #16837761C22semidirect
86. #16837751C22semidirect
87. #16837747C22semidirect
88. #16837734C22semidirect
89. #16837733C22semidirect
90. #16837731C22semidirect
91. #16837731C22semidirect
92. #16837731C22semidirect
93. #16837730C22semidirect
94. #16837722C22semidirect
95. #16837722C22semidirect
96. #16837721C22semidirect
97. #16837719C22semidirect
98. #16837719C22semidirect
99. #16837718C22semidirect
100. #16837693C22semidirect
101. #16837692C22semidirect
102. #16837691C22semidirect
103. #16837690C22semidirect
104. #16837659C22semidirect
105. #16837658C22semidirect
106. #16837657C22semidirect
107. #16837655C22semidirect
108. #16837654C22semidirect
109. #16837653C22semidirect
110. #16837652C22semidirect
111. #16837634C22semidirect
112. #16837633C22semidirect
113. #16837633C22semidirect
114. #16837631C22semidirect
115. #16837630C22semidirect
116. #16837628C22semidirect
117. #16837628C22semidirect
118. #16837618C22semidirect
119. #16837617C22semidirect
120. #16837614C22semidirect
121. #16837610C22semidirect
122. #16837610C22semidirect
123. #16837604C22semidirect
124. #16837600C22semidirect
125. #16837600C22semidirect
126. #16837596C22semidirect
127. #16837595C22semidirect
128. #16837567C22semidirect
129. #16837564C22semidirect
130. #16837563C22semidirect
131. #16837563C22semidirect
132. #16837563C22semidirect
133. #16837563C22semidirect
134. #16837562C22semidirect
135. #16837561C22semidirect
136. #16837561C22semidirect
137. #16837561C22semidirect
138. #16837552C22semidirect
141. #16837551C22semidirect
142. #16837551C22semidirect
143. #16837550C22semidirect
144. #16837550C22semidirect
145. #16837549C22semidirect
146. #16837548C22semidirect
147. #16837547C22semidirect
148. #16837547C22semidirect
149. #16837546C22semidirect
150. #16837546C22semidirect
151. #16837546C22semidirect
152. #16837544C22semidirect
153. #16837544C22semidirect
154. #16837538C22semidirect
156. #16837536C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. #16837515C22semidirect
161. #16837512C22semidirect
162. #16837512C22semidirect
163. SD16×Dic59C22semidirect
164. SD16×Dic59C22semidirect
165. #16837487C22semidirect
166. #16837487C22semidirect
167. #16837478C22semidirect
168. #16837477C22semidirect
169. #16837475C22semidirect
170. #16837474C22semidirect
171. #16837472C22semidirect
172. C8×C22⋊D59C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
174. #16837457C22semidirect
175. #16837454C22semidirect
176. #16837404C22semidirect
177. #16837403C22semidirect
178. #16837402C22semidirect
179. #16837400C22semidirect
180. C2×#14273649C22semidirect
181. C2×#14273648C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #16837370C22semidirect
185. #16837368C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C2×#135×C59C22semidirect
190. C59×#547C22semidirect
192. C59×#497C22semidirect
193. C59×#470C22semidirect
194. C59×#465C22semidirect
195. C59×#463C22semidirect
196. C59×#461C22semidirect
197. C59×#452C22semidirect
198. C59×#452C22semidirect
199. C59×#450C22semidirect
200. C59×#449C22semidirect
201. C59×#442C22semidirect
202. C59×#435C22semidirect
969. #3267D59semidirect
1002. C2×AGL(1,ℤ/8)C2×D59semidirect
1006. C2×#135C2×D59semidirect
1021. #547C2×D59semidirect
1051. #497C2×D59semidirect
1077. #470C2×D59semidirect
1089. #465C2×D59semidirect
1093. #463C2×D59semidirect
1097. #461C2×D59semidirect
1112. #452C2×D59semidirect
1113. #452C2×D59semidirect
1119. #450C2×D59semidirect
1131. #449C2×D59semidirect
1141. #442C2×D59semidirect
1151. #435C2×D59semidirect
1168. C59#61685semidirect

Maximal subgroups

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

subgroupindex
#214384932
#214378562
#214364072
#214364052
#214360642
#214360622
#214360592
#214360572
#214359152
#214359132
#214358202
#214358192
#214357102
#214357092
#214356272
#214356222
#214356202
#214351022
#214350282
#214350052
#214350042
#214350032
#214350012
#214341852
#214341032
#214334042
#214334012
#214333992
#214333962
#214331682
C59×#32672
#6168559