Finite Group Databasebeta

← #29473921

Subgroups — #29473921

Order 15104.

2116 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438138C211yesmaximal, characteristic, complemented
2#547×D59C211yesmaximal, characteristic, complemented
3#21436396C211yesmaximal, characteristic, complemented
4#21436394C211yesmaximal, characteristic, complemented
5#21436199C211yesmaximal, characteristic, complemented
6#21436197C211yesmaximal, characteristic, complemented
7#21436194C211yesmaximal, characteristic, complemented
8#21436192C211yesmaximal, characteristic, complemented
9#21436008C211yesmaximal, characteristic, complemented
10#21436006C211yesmaximal, characteristic, complemented
11#21435812C211yesmaximal, characteristic, complemented
12#21435811C211yesmaximal, characteristic, complemented
13#21435736C211yesmaximal, characteristic, complemented
14#21435735C211yesmaximal, characteristic, complemented
15#21435657C211yesmaximal, characteristic, complemented
16#21435652C211yesmaximal, characteristic, complemented
17#21435650C211yesmaximal, characteristic, complemented
18#21435119C211yesmaximal, characteristic, complemented
19#21435043C211yesmaximal, characteristic, complemented
20#21434924C211yesmaximal, characteristic, complemented
21#21434921C211yesmaximal, characteristic, complemented
22#21434869C211yesmaximal, characteristic, complemented
23#21434867C211yesmaximal, characteristic, complemented
24#21434193C211yesmaximal, characteristic, complemented
25#21434142C211yesmaximal, characteristic, complemented
26#21433353C211yesmaximal, characteristic, complemented
27#21433352C211yesmaximal, characteristic, complemented
28#21433311C211yesmaximal, characteristic, complemented
29#21433310C211yesmaximal, characteristic, complemented
30#21433126C211yesmaximal, characteristic, complemented
31C59×#3269C211yesmaximal, characteristic, complemented
32C2×#41×D59C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C2×#14273759C2211yescharacteristic, complemented
35C2×#14273758C2211yescharacteristic, complemented
36C2×#14273756C2211yescharacteristic, complemented
37C2×#14273748C2211yescharacteristic, complemented
38C2×#14273747C2211yescharacteristic, complemented
39C2×#14273746C2211yescharacteristic, complemented
40#16838123C2211yescharacteristic, complemented
41#16838106—21no—
42#16838093C2211yescharacteristic, complemented
43#16838092C2211yescharacteristic, complemented
44#16838082—21no—
45#16838081—21no—
46Q8×C22⋊D59C2211yescharacteristic, complemented
47#16838060C2211yescharacteristic, complemented
48#16838057C2211yescharacteristic
49#16838056C2211yescharacteristic
50#16838055C2211yescharacteristic
51#16838054C2211yescharacteristic
52#16838054C2211yescharacteristic
53#16838053—21no—
54#16838052—21no—
55#16838052C2211yescharacteristic, complemented
56#16838051C2211yescharacteristic
57#16838051C2211yescharacteristic
58#16838051C2211yescharacteristic, complemented
59#16838050—21no—
60#16838050—21no—
61#16838041—21no—
62#16838016—21no—
63#16837998—21no—
64#16837997—21no—
65#16837956C2211yescharacteristic
66C4⋊Q8×D59C2211yescharacteristic
67#16837931C2211yescharacteristic
68#16837912C2211yescharacteristic
69#16837909C2211yescharacteristic
70#123×D59—21no—
71#123×D59—21no—
72C2×#14273703C2211yescharacteristic
73C22⋊Q8×D59C2211yescharacteristic
74C22⋊Q8×D59C2211yescharacteristic
75C22⋊Q8×D59C2211yescharacteristic
76#121×D59—21no—
77#16837881—21no—
78C4×D4×D59C2211yescharacteristic
79C4×D4×D59C2211yescharacteristic
80C2×C4⋊C4×D59—21no—
81#16837797C2211yescharacteristic, complemented
82#16837780C2211yescharacteristic, complemented
83#16837780C2211yescharacteristic, complemented
84#16837771C2211yescharacteristic, complemented
85#16837770C2211yescharacteristic, complemented
86#16837751C2211yescharacteristic, complemented
87#16837751C2211yescharacteristic, complemented
88#16837745C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837741C2211yescharacteristic, complemented
91#16837740C2211yescharacteristic, complemented
92#16837739C2211yescharacteristic
93#16837739C2211yescharacteristic, complemented
94#16837738C2211yescharacteristic, complemented
95#16837736C2211yescharacteristic
96#16837736C2211yescharacteristic
97#16837736C2211yescharacteristic, complemented
98#16837735C2211yescharacteristic, complemented
99#16837719C2211yescharacteristic
100#16837703C2211yescharacteristic, complemented
101#16837702C2211yescharacteristic, complemented
102#16837681C2211yescharacteristic, complemented
103#16837680C2211yescharacteristic, complemented
104#16837660C2211yescharacteristic, complemented
105#16837659C2211yescharacteristic, complemented
106#16837658C2211yescharacteristic, complemented
107#16837657C2211yescharacteristic, complemented
108#16837647C2211yescharacteristic, complemented
109#16837646C2211yescharacteristic, complemented
110#16837645C2211yescharacteristic, complemented
111#16837643C2211yescharacteristic, complemented
112#16837642C2211yescharacteristic, complemented
113#16837642C2211yescharacteristic, complemented
114#16837641C2211yescharacteristic, complemented
115#16837641C2211yescharacteristic, complemented
116#16837640C2211yescharacteristic, complemented
117#16837640C2211yescharacteristic, complemented
118#16837614C2211yescharacteristic, complemented
119#16837613C2211yescharacteristic, complemented
120#16837612C2211yescharacteristic, complemented
121#16837610C2211yescharacteristic, complemented
122#16837610C2211yescharacteristic, complemented
123#16837609C2211yescharacteristic, complemented
124#16837606C2211yescharacteristic, complemented
125#16837605C2211yescharacteristic, complemented
126#16837605C2211yescharacteristic, complemented
127#16837605C2211yescharacteristic, complemented
128#16837566C2211yescharacteristic, complemented
129#16837566C2211yescharacteristic, complemented
130#16837565C2211yescharacteristic, complemented
131#16837564C2211yescharacteristic, complemented
132#16837564C2211yescharacteristic, complemented
133#16837564C2211yescharacteristic, complemented
134#16837563C2211yescharacteristic, complemented
135#16837563C2211yescharacteristic, complemented
136#16837563C2211yescharacteristic, complemented
137#16837562C2211yescharacteristic, complemented
138#16837561C2211yescharacteristic, complemented
139#16837561C2211yescharacteristic, complemented
140#16837561C2211yescharacteristic, complemented
141#16837561C2211yescharacteristic, complemented
142#16837559C2211yescharacteristic
143#16837559C2211yescharacteristic
144#16837559C2211yescharacteristic, complemented
145#16837558C2211yescharacteristic, complemented
146#16837556C2211yescharacteristic
147#16837556C2211yescharacteristic
148#16837556C2211yescharacteristic
149#16837556C2211yescharacteristic
150#16837556C2211yescharacteristic, complemented
151#16837554C2211yescharacteristic
152#16837551C2211yescharacteristic
153#16837551C2211yescharacteristic
154#16837546C2211yescharacteristic, complemented
155#16837545C2211yescharacteristic, complemented
156#16837544C2211yescharacteristic, complemented
157#16837539C2211yescharacteristic
158#16837539C2211yescharacteristic
159#16837534C2211yescharacteristic
160#16837504C2211yescharacteristic, complemented
161#16837502C2211yescharacteristic, complemented
162#16837500C2211yescharacteristic, complemented
163SD16×Dic59C2211yescharacteristic, complemented
164#16837487C2211yescharacteristic, complemented
165D8×Dic59C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic, 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
175#16837454C2211yescharacteristic
176#16837404C2211yescharacteristic, complemented
177#16837403C2211yescharacteristic, complemented
178#16837402C2211yescharacteristic, complemented
179#16837400C2211yescharacteristic, complemented
180#16837399C2211yescharacteristic, complemented
181#16837398C2211yescharacteristic, complemented
182#16837397C2211yescharacteristic, complemented
183#16837395C2211yescharacteristic, complemented
184#16837365C2211yescharacteristic
185#16837364C2211yescharacteristic
186C2×(C2×D59)⋊C8C2211yescharacteristic
187C22⋊C8×D59C2211yescharacteristic
188C2×#137×C59C2211yescharacteristic, complemented
189C2×#135×C59C2211yescharacteristic, complemented
190C59×#548C2211yescharacteristic, complemented
191C59×#547C2211yescharacteristic
192C59×#497C2211yescharacteristic, complemented
193C59×#468C2211yescharacteristic, complemented
194C59×#467C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#462C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#451C2211yescharacteristic, complemented
200C59×#449C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745689C2311yescharacteristic
205C2×#11745685—21no—
206C2×#11745685—21no—
207C2×#11745685C2311yescharacteristic
208C2×#11745685C2311yescharacteristic
209C2×#11745687—21no—
210C2×#11745687—21no—
211C2×#11745687—21no—
212C2×#11745687C2311yescharacteristic
213C2×#11745687C2311yescharacteristic
214C2×#11745687C2311yescharacteristic
215#41×D59—42no—
216#41×D59—42no—
217#41×D59—42no—
218#41×D59—42no—
219C2×Q8×D59C2311yescharacteristic
220C2×Q8×D59C2311yescharacteristic
221C2×Q8×D59C2311yescharacteristic
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59D411yescharacteristic
225C2×D4×D59C2311yescharacteristic
226C22×C4×D59—21no—
227C22×C4×D59—21no—
228C22×C4×D59—21no—
229C22×C4×D59C2311yescharacteristic
230C22×C4×D59C2311yescharacteristic
231#14273759—42no—
232#14273758—42no—
233#14273756—42no—
234#14273748—42no—
235#14273747—42no—
236#14273746—42no—
237C2×Dic236C2311yescharacteristic
238C2×Dic236C2311yescharacteristic
239C2×#11745672C2311yescharacteristic
240C2×#11745672C2311yescharacteristic
241C2×#11745672C2311yescharacteristic
242C2×#11745672C2311yescharacteristic
243C2×#11745672C2311yescharacteristic
244C2×#11745672C2311yescharacteristic
245C2×#11745660C2311yescharacteristic
246C2×#11745670C2311yescharacteristic
247C2×#11745670C2311yescharacteristic
248C2×#11745670C2311yescharacteristic
249C2×#11745671C2311yescharacteristic
250C2×#11745671C2311yescharacteristic
251C2×#11745669C2311yescharacteristic
252C2×#11745664C2311yescharacteristic
253C2×#11745659C2311yescharacteristic
254C2×#11745659C2311yescharacteristic
255C22×C59⋊C8C2311yescharacteristic
256C2×C8×D59C2311yescharacteristic
257C2×C8×D59C2311yescharacteristic
258#14273727C2311yescharacteristic
259#14273726—21no—
260#14273726—21no—
261#14273726C2311yescharacteristic
262#14273725—21no—
263#14273725C2311yescharacteristic
264#14273725C2311yescharacteristic
265#14273725C2311yescharacteristic
266#14273722—21no—
267#14273721—21no—
268#14273720—21no—
269#14273720—21no—
270#14273720—21no—
271#14273719C2311yescharacteristic
272#14273717—21no—
273#14273717—21no—
274#14273717—21no—
275#14273713—21no—
276#14273713—21no—
277#14273712—21no—
278#14273712—21no—
279#14273712—21no—
280#14273712—21no—
281#14273712—21no—
282#14273711—21no—
283#14273711—21no—
284#14273710—21no—
285#14273710—21no—
286#14273710—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709—21no—
290#14273709—21no—
291#14273709—21no—
292#14273709—21no—
293#14273709—21no—
294#14273708—21no—
295#14273708—21no—
296#14273708—21no—
297#14273708—21no—
298#14273708—21no—
299#14273708—21no—
300#14273707C2311yescharacteristic
301#14273707C2311yescharacteristic
302#14273707C2311yescharacteristic
303#14273706—21no—
304#14273706C2311yescharacteristic
305#14273706C2311yescharacteristic
306#14273706C2311yescharacteristic
307#14273706C2311yescharacteristic
308#14273705—21no—
309#14273705—21no—
310#14273705—21no—
311#14273705—21no—
312#14273704—21no—
313#14273704—21no—
314#14273704—21no—
315#14273704—21no—
316#14273704—21no—
317#14273703—21no—
318#14273703—21no—
319#14273703—21no—
320#14273703C2311yescharacteristic
321#14273703C2311yescharacteristic
322#14273703C2311yescharacteristic
323#14273703C2311yescharacteristic
324#14273703C2311yescharacteristic
325#14273703C2311yescharacteristic
326#14273703C2311yescharacteristic
327#14273702—21no—
328#14273701—21no—
329#14273700—21no—
330#14273700—21no—
331#14273700—21no—
332#14273699—21no—
333#14273699—21no—
334#14273699—21no—
335#14273698—21no—
336#14273698C2311yescharacteristic
337#14273698C2311yescharacteristic
338#14273695—21no—
339#14273695—21no—
340Q8×Dic59C2311yescharacteristic
341C4×Dic118—21no—
342C4×Dic118C2311yescharacteristic
343#14273692—21no—
344C4×D236C2311yescharacteristic
345C4×D236C2311yescharacteristic
346D4×Dic59—21no—
347D4×Dic59D411yescharacteristic
348D4×Dic59C2311yescharacteristic
349D4×Dic59C2311yescharacteristic
350#14273689D411yescharacteristic
351#14273689C2311yescharacteristic
352C4×C22⋊D59—21no—
353C4×C22⋊D59—21no—
354C4×C22⋊D59—21no—
355C4×C22⋊D59—21no—
356C4×C22⋊D59C2311yescharacteristic
357C4×C22⋊D59C2311yescharacteristic
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4—21no—
361(C22⋊D59)⋊C4—21no—
362(C22⋊D59)⋊C4D411yescharacteristic
363(C22⋊D59)⋊C4D411yescharacteristic
364#14273686C2311yescharacteristic
365#14273685C2311yescharacteristic
366#14273684—21no—
367#14273684—21no—
368#14273683—21no—
369#14273683—21no—
370C2×C4⋊Dic59—21no—
371C2×C4⋊Dic59C2311yescharacteristic
372C2×Dic59⋊C4—21no—
373C2×Dic59⋊C4—21no—
374C2×Dic59⋊C4—21no—
375C2×Dic59⋊C4—21no—
376C4⋊C4×D59—21no—
377C4⋊C4×D59—21no—
378C4⋊C4×D59—21no—
379C4⋊C4×D59—21no—
380C4⋊C4×D59—21no—
381C4⋊C4×D59—21no—
382C4⋊C4×D59—21no—
383C4⋊C4×D59—21no—
384C4⋊C4×D59—21no—
385C4⋊C4×D59D411yescharacteristic
386C4⋊C4×D59C2311yescharacteristic
387C4⋊C4×D59C2311yescharacteristic
388C2×(C2×D59)⋊C4—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59D411yescharacteristic
394C22⋊C4×D59D411yescharacteristic
395C42×D59C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273661C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273660C2311yescharacteristic
400#14273660C2311yescharacteristic
401#14273659C2311yescharacteristic
402#14273658C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273651C2311yescharacteristic
418#14273651C2311yescharacteristic
419#14273651C2311yescharacteristic
420#14273651C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273650C2311yescharacteristic
423#14273650C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273649C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
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×Q8×C59C2311yescharacteristic
449#137×C59—42no—
450#135×C59—42no—
451C2×Q16×C59C2311yescharacteristic
452C2×Q16×C59C2311yescharacteristic
453C2×Q16×C59C2311yescharacteristic
454C2×Q16×C59C2311yescharacteristic
455C2×SD16×C59C2311yescharacteristic
456C2×SD16×C59C2311yescharacteristic
457C2×SD16×C59C2311yescharacteristic
458C2×SD16×C59C2311yescharacteristic
459C2×D8×C59C2311yescharacteristic
460C2×M16×C59C2311yescharacteristic
461C22×C8×C59C2311yescharacteristic
462C4⋊Q8×C59C2311yescharacteristic
463#124×C59—21no—
464#124×C59C2311yescharacteristic
465#123×C59—21no—
466#123×C59—21no—
467C22⋊Q8×C59—21no—
468C22⋊Q8×C59C2311yescharacteristic
469C22⋊Q8×C59C2311yescharacteristic
470C22⋊Q8×C59C2311yescharacteristic
471#121×C59—21no—
472#121×C59—21no—
473#121×C59C2311yescharacteristic
474C4×Q8×C59C2311yescharacteristic
475C4×D4×C59—21no—
476C4×D4×C59C2311yescharacteristic
477C4×D4×C59C2311yescharacteristic
478C2×C4⋊C4×C59—21no—
479#107×C59C2311yescharacteristic
480C4⋊C8×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#103×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489#97×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59C2×D411yescharacteristic
492C23×D59C2×D411yescharacteristic
493#41×C59—22no—
494#41×C59—22no—
495#41×C59—41no—
496#41×C59—41no—
497#41×C59—41no—
498#41×C59—41no—
499C2×Q8×C59—21no—
500C2×Q8×C59—41no—
501C2×Q8×C59—41no—
502C2×Q8×C59C2411yescharacteristic
503C2×Q8×C59C2411yescharacteristic
504C2×Q8×C59C2411yescharacteristic
505C2×Q8×C59C2411yescharacteristic
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59C2×D411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59C2411yescharacteristic
519C22×C4×C59C2411yescharacteristic
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59C2×D411yescharacteristic
529C2×C22⋊D59C2×D411yescharacteristic
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59—21no—
536C22×Dic59C2×D411yescharacteristic
537C22×Dic59C2×D411yescharacteristic
538#11745689—22no—
539#11745689—22no—
540#11745689—41no—
541#11745689—41no—
542Q8×D59—41no—
543Q8×D59—41no—
544Q8×D59—41no—
545Q8×D59—41no—
546Q8×D59—41no—
547Q8×D59—41no—
548#11745687—22no—
549#11745687—22no—
550#11745687—41no—
551#11745687—41no—
552#11745687—41no—
553#11745687—41no—
554#11745687—44no—
555#11745687—44no—
556#11745687—44no—
557D4×D59—22no—
558D4×D59—22no—
559D4×D59—42no—
560D4×D59—44no—
561D4×D59—44no—
562#11745685—22no—
563#11745685—22no—
564#11745685—41no—
565#11745685—41no—
566#11745685—44no—
567#11745685—44no—
568C2×D236—21no—
569C2×D236—21no—
570C2×D236C2×D411yescharacteristic
571C2×D236C2411yescharacteristic
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—41no—
584C2×C4×D59—41no—
585C2×C4×D59—41no—
586C2×C4×D59—41no—
587C2×C4×D59—44no—
588C2×C4×D59—44no—
589C2×C4×D59—44no—
590C2×C4×D59C2×D411yescharacteristic
591C2×C4×D59C2×D411yescharacteristic
592C2×C4×D59C2×D411yescharacteristic
593C2×C4×D59C2×D411yescharacteristic
594C2×C4×D59C2×D411yescharacteristic
595C2×C4×D59C2×D411yescharacteristic
596C2×C4×D59C2411yescharacteristic
597C2×C4×D59C2411yescharacteristic
598C2×C4×D59C2411yescharacteristic
599C2×Dic118—21no—
600C2×Dic118—21no—
601C2×Dic118—21no—
602C2×Dic118—21no—
603C2×Dic118C2411yescharacteristic
604C2×Dic118C2411yescharacteristic
605C2×Dic118C2411yescharacteristic
606Q16×C59—41no—
607Q16×C59—41no—
608Q16×C59—41no—
609Q16×C59—41no—
610SD16×C59—22no—
611SD16×C59—22no—
612SD16×C59—41no—
613SD16×C59—41no—
614D8×C59—22no—
615M16×C59—41no—
616C2×C8×C59—41no—
617C2×C8×C59C2411yescharacteristic
618C2×C8×C59C2411yescharacteristic
619C2×C8×C59C2411yescharacteristic
620C2×C8×C59C2411yescharacteristic
621C4⋊C4×C59—21no—
622C4⋊C4×C59—21no—
623C4⋊C4×C59—21no—
624C4⋊C4×C59—21no—
625C4⋊C4×C59—21no—
626C4⋊C4×C59—21no—
627C4⋊C4×C59C2×D411yescharacteristic
628C4⋊C4×C59C2411yescharacteristic
629C4⋊C4×C59C2411yescharacteristic
630C22⋊C4×C59—21no—
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C22⋊C4×C59C2×D411yescharacteristic
638C22⋊C4×C59C2×D411yescharacteristic
639C42×C59—21no—
640C42×C59C2411yescharacteristic
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59—21no—
646C22⋊Dic59—21no—
647C22⋊Dic59—21no—
648C22⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59C2×D411yescharacteristic
651C22⋊Dic59C2×D411yescharacteristic
652#11745672—41no—
653#11745672—41no—
654#11745672—41no—
655#11745672—41no—
656#11745672—41no—
657#11745672—41no—
658#11745671—22no—
659#11745671—22no—
660#11745670—22no—
661#11745670—41no—
662#11745670—41no—
663#11745669—22no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4C2×D411yescharacteristic
678(C2×D59)⋊C4C2×D411yescharacteristic
679(C2×D59)⋊C4C2×D411yescharacteristic
680(C2×D59)⋊C4C2×D411yescharacteristic
681C4⋊Dic59—21no—
682C4⋊Dic59—21no—
683C4⋊Dic59—21no—
684C4⋊Dic59—21no—
685C4⋊Dic59—21no—
686C4⋊Dic59—21no—
687C4⋊Dic59—21no—
688C4⋊Dic59C2×D411yescharacteristic
689C4⋊Dic59C2411yescharacteristic
690C4⋊Dic59C2411yescharacteristic
691C4⋊Dic59C2411yescharacteristic
692C4⋊Dic59C2411yescharacteristic
693Dic59⋊C4—21no—
694Dic59⋊C4—21no—
695Dic59⋊C4—21no—
696Dic59⋊C4—21no—
697Dic59⋊C4—21no—
698Dic59⋊C4—21no—
699Dic59⋊C4—21no—
700Dic59⋊C4—21no—
701Dic59⋊C4—21no—
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4C2×D411yescharacteristic
717Dic59⋊C4C2×D411yescharacteristic
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722C4×Dic59C2×D411yescharacteristic
723C4×Dic59C2×D411yescharacteristic
724C4×Dic59C2411yescharacteristic
725#11745664—41no—
726C2×C59⋊C8—41no—
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729C2×C59⋊C8C2411yescharacteristic
730C2×C59⋊C8C2411yescharacteristic
731Dic236—41no—
732Dic236—41no—
733#11745660—22no—
734#11745659—41no—
735#11745659—41no—
736C8×D59—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59—21no—
740C23×C59C22×D411yescharacteristic
741C23×C59C22×D411yescharacteristic
742C22×D59—24no—
743C22×D59—21no—
744C22×D59—22no—
745C22×D59—22no—
746C22×D59—41no—
747C22×D59—41no—
748C22×D59—41no—
749C22×D59—41no—
750C22×D59—42no—
751C22×D59—42no—
752C22×D59C22×D411yescharacteristic
753C22×D59C22×D411yescharacteristic
754C22×D59C22×D411yescharacteristic
755Q8×C59—21no—
756Q8×C59—21no—
757Q8×C59—21no—
758Q8×C59—21no—
759Q8×C59—21no—
760Q8×C59—21no—
761Q8×C59—21no—
762Q8×C59—21no—
763Q8×C59—81no—
764D4×C59—21no—
765D4×C59—21no—
766D4×C59—21no—
767D4×C59—41no—
768D4×C59—42no—
769D4×C59—42no—
770D4×C59—42no—
771D4×C59—81no—
772D4×C59H(5,𝔽2)12yes—
773C2×C4×C59—21no—
774C2×C4×C59—21no—
775C2×C4×C59—21no—
776C2×C4×C59—21no—
777C2×C4×C59—21no—
778C2×C4×C59—21no—
779C2×C4×C59—21no—
780C2×C4×C59—21no—
781C2×C4×C59—21no—
782C2×C4×C59—21no—
783C2×C4×C59—42no—
784C2×C4×C59—42no—
785C2×C4×C59—42no—
786C2×C4×C59—81no—
787C2×C4×C59—81no—
788C2×C4×C59C22×D411yescharacteristic
789C2×C4×C59C22×D411yescharacteristic
790C2×C4×C59C22×D411yescharacteristic
791C2×C4×C59C22×D411yescharacteristic
792C2×C4×C59C2511yescharacteristic
793C22⋊D59—24no—
794C22⋊D59—22no—
795C22⋊D59—22no—
796C22⋊D59—42no—
797C22⋊D59—42no—
798C22⋊D59—42no—
799C22⋊D59—42no—
800C22⋊D59—42no—
801C22⋊D59—42no—
802C22⋊D59—81no—
803C2×Dic59—21no—
804C2×Dic59—21no—
805C2×Dic59—21no—
806C2×Dic59—21no—
807C2×Dic59—21no—
808C2×Dic59—21no—
809C2×Dic59—21no—
810C2×Dic59—41no—
811C2×Dic59—41no—
812C2×Dic59—42no—
813C2×Dic59—42no—
814C2×Dic59—42no—
815C2×Dic59—42no—
816C2×Dic59—42no—
817C2×Dic59—81no—
818C2×Dic59C22×D411yescharacteristic
819C2×Dic59C22×D411yescharacteristic
820C2×Dic59C22×D411yescharacteristic
821C2×Dic59C22×D411yescharacteristic
822C2×Dic59C22×D411yescharacteristic
823D236—21no—
824D236—41no—
825D236—42no—
826D236—42no—
827D236H(5,𝔽2)12yes—
828C4×D59—22no—
829C4×D59—21no—
830C4×D59—21no—
831C4×D59—21no—
832C4×D59—21no—
833C4×D59—21no—
834C4×D59—21no—
835C4×D59—22no—
836C4×D59—41no—
837C4×D59—41no—
838C4×D59—41no—
839C4×D59—41no—
840C4×D59—42no—
841C4×D59—42no—
842C4×D59—42no—
843C4×D59—42no—
844C4×D59—42no—
845C4×D59—42no—
846C4×D59—42no—
847C4×D59—42no—
848C4×D59—42no—
849C4×D59—42no—
850C4×D59—81no—
851Dic118—21no—
852Dic118—21no—
853Dic118—21no—
854Dic118—21no—
855Dic118—21no—
856Dic118—21no—
857Dic118—42no—
858Dic118—42no—
859Dic118—42no—
860Dic118—81no—
861C8×C59—21no—
862C8×C59—21no—
863C8×C59—21no—
864C8×C59—21no—
865C59⋊C8—21no—
866C59⋊C8—21no—
867C59⋊C8—21no—
868C59⋊C8—21no—
869#61595—591nomaximal, Sylow
870C22×C59—22no—
871C22×C59—21no—
872C22×C59—21no—
873C22×C59—21no—
874C22×C59—21no—
875C22×C59—21no—
876C22×C59—21no—
877C22×C59—41no—
878C22×C59—41no—
879C22×C59—41no—
880C22×C59—41no—
881C22×C59—41no—
882C22×C59C23×D411yescharacteristic
883C2×D59—21no—
884C2×D59—21no—
885C2×D59—21no—
886C2×D59—21no—
887C2×D59—22no—
888C2×D59—21no—
889C2×D59—21no—
890C2×D59—21no—
891C2×D59—21no—
892C2×D59—48no—
893C2×D59—41no—
894C2×D59—41no—
895C2×D59—82no—
896C2×D59—82no—
897C2×D59#57812yes—
898C4×C59—21no—
899C4×C59—21no—
900C4×C59—21no—
901C4×C59—21no—
902C4×C59—41no—
903C4×C59—41no—
904C4×C59—41no—
905C4×C59—41no—
906C4×C59—41no—
907C4×C59—41no—
908C4×C59C2×H(5,𝔽2)11yescharacteristic
909C4×C59C2×H(5,𝔽2)11yescharacteristic
910Dic59—21no—
911Dic59—21no—
912Dic59—21no—
913Dic59—21no—
914Dic59—41no—
915Dic59—41no—
916Dic59—41no—
917Dic59—41no—
918Dic59—41no—
919Dic59—41no—
920Dic59—41no—
921Dic59#57512yes—
922#3520—591no—
923C2×#547—591no—
924#3330—591no—
925#3330—591no—
926#3315—591no—
927#3315—591no—
928#3315—591no—
929#3315—591no—
930#3302—591no—
931#3302—591no—
932#3283—591no—
933#3283—591no—
934#3276—591no—
935#3276—591no—
936#3269—591no—
937#3269—591no—
938#3269—591no—
939#3269D5911yescharacteristic, complemented
940#3218—591no—
941#3209—591no—
942#3196—591no—
943#3196—591no—
944#3189—591no—
945#3189—591no—
946#3110—591no—
947#3105—591no—
948#3007—591no—
949#3007—591no—
950#3002—591no—
951#3002—591no—
952#2974—591no—
953C2×C59—42no—
954C2×C59—41no—
955C2×C59—41no—
956C2×C59—81no—
957C2×C59#348411yescharacteristic
958C2×C59C2×#57511yescharacteristic
959C2×C59C2×#57811yescharacteristic
960D59—22no—
961D59—41no—
962D59—41no—
963D59—42no—
964C22×#41—591no—
965C22×#41—591no—
966C2×#137—591no—
967C2×#137—591no—
968C2×#137—591no—
969C2×#137C2×D5911yescharacteristic, complemented
970C2×#135—591no—
971C2×#135—591no—
972C2×#135—591no—
973C2×#135C2×D5911yescharacteristic, complemented
974#556—591no—
975#554—1181no—
976#552—591no—
977#552—591no—
978#551—1181no—
979#551—1181no—
980D4×Q8—591no—
981#548—591no—
982#548C2×D5911yescharacteristic, complemented
983#547—591no—
984#547—591no—
985#547—591no—
986#547—591no—
987#547—591no—
988#547—591no—
989#547—591no—
990#547—591no—
991#547—591no—
992#547—1181no—
993#547—1181no—
994#547—1181no—
995#547—1181no—
996#547C2×D5911yescharacteristic
997#546—1181no—
998#542—1181no—
999#539—1181no—
1000#539—1181no—
1001#533—591no—
1002C2×C4⋊Q8—591no—
1003#529—591no—
1004#525—591no—
1005#525—591no—
1006C2×#123—1181no—
1007C2×#123—1181no—
1008C2×C22⋊Q8—591no—
1009C2×C22⋊Q8—591no—
1010C2×C22⋊Q8—591no—
1011C2×C22⋊Q8—591no—
1012C2×#121—1181no—
1013#520—1181no—
1014C2×C4×D4—591no—
1015C2×C4×D4—591no—
1016C22×C4⋊C4—1181no—
1017#497—591no—
1018#497C2×D5911yescharacteristic, complemented
1019#494—591no—
1020#494—591no—
1021#491—591no—
1022#491—591no—
1023#487—591no—
1024#487—591no—
1025#485—591no—
1026#485—591no—
1027#485—591no—
1028#485—591no—
1029#484—591no—
1030#484—591no—
1031#484—591no—
1032#484—591no—
1033#484—591no—
1034#484—591no—
1035#484—591no—
1036#481—591no—
1037#478—591no—
1038#478—591no—
1039#474—591no—
1040#474—591no—
1041#470—591no—
1042#470—591no—
1043#470—591no—
1044#470—591no—
1045#468—591no—
1046#468—591no—
1047#468—591no—
1048#468C2×D5911yescharacteristic, complemented
1049#467—591no—
1050#467—591no—
1051#467—591no—
1052#467—591no—
1053#467—591no—
1054#467—591no—
1055#467—591no—
1056#467C2×D5911yescharacteristic, complemented
1057#463—591no—
1058#463C2×D5911yescharacteristic, complemented
1059#462—591no—
1060#462—591no—
1061#462—591no—
1062#462—591no—
1063#462—591no—
1064#462C2×D5911yescharacteristic, complemented
1065#461—591no—
1066#461—591no—
1067#461—591no—
1068#461—591no—
1069#452—591no—
1070#452—591no—
1071#452—591no—
1072#452—591no—
1073#452—591no—
1074#452—591no—
1075#452—591no—
1076#452—591no—
1077#452—591no—
1078#452—591no—
1079#452—591no—
1080#452—591no—
1081#452—591no—
1082#452—591no—
1083#452C2×D5911yescharacteristic, complemented
1084#452C2×D5911yescharacteristic, complemented
1085#451—591no—
1086#451—591no—
1087#451—591no—
1088#451—591no—
1089#451—591no—
1090#451—591no—
1091#451—591no—
1092#451—591no—
1093#451—591no—
1094#451C2×D5911yescharacteristic, complemented
1095#450—591no—
1096#450—591no—
1097#450—591no—
1098#449—591no—
1099#449—591no—
1100#449—591no—
1101#449C2×D5911yescharacteristic, complemented
1102#448—591no—
1103#448—591no—
1104#447—591no—
1105#440—591no—
1106#440—591no—
1107#440—591no—
1108#440C2×D5911yescharacteristic, complemented
1109C4×SD16—591no—
1110C4×SD16—591no—
1111C4×D8—591no—
1112C4×D8—591no—
1113#436—591no—
1114#436—591no—
1115#435—591no—
1116#435—591no—
1117#435—591no—
1118#435C2×D5911yescharacteristic, complemented
1119C8×D4—591no—
1120C8×D4—591no—
1121#432—591no—
1122#431—591no—
1123#417—591no—
1124#417—591no—
1125#417—591no—
1126#417—591no—
1127#416—591no—
1128#416—591no—
1129#416—591no—
1130#416—591no—
1131#407—591no—
1132#407—591no—
1133C2×C22⋊C8—591no—
1134C2×C22⋊C8—591no—
1135C59#6159511yescharacteristic, complemented, Sylow
1136C2×#41—591no—
1137C2×#41—591no—
1138C2×#41—591no—
1139C2×#41—591no—
1140C2×#41—591no—
1141C2×#41—591no—
1142C2×#41—591no—
1143C2×#41—1181no—
1144C2×#41—1181no—
1145C2×#41—1181no—
1146C2×#41—1181no—
1147C2×#41—1181no—
1148C2×#41—2362no—
1149C2×#41—2362no—
1150C2×#41—2362no—
1151C2×#41—2362no—
1152C2×#41C22×D5911yescharacteristic
1153C2×#41C22×D5911yescharacteristic
1154C2×#41C22×D5911yescharacteristic
1155C22×Q8—591no—
1156C22×Q8—591no—
1157C22×Q8—591no—
1158C22×Q8C22×D5911yescharacteristic
1159C22×D4—591no—
1160C22×D4—591no—
1161C22×D4—1181no—
1162C22×D4—1181no—
1163C23×C4—591no—
1164C23×C4—591no—
1165C23×C4—1181no—
1166C23×C4—1181no—
1167C23×C4—1181no—
1168#137—42no—
1169#137—2362no—
1170#137—2362no—
1171#137—2362no—
1172#135—42no—
1173#135—2362no—
1174#135—2362no—
1175#135—2362no—
1176C2×Q16—591no—
1177C2×Q16—591no—
1178C2×Q16—591no—
1179C2×Q16—591no—
1180C2×Q16—591no—
1181C2×Q16—591no—
1182C2×Q16—591no—
1183C2×Q16—591no—
1184C2×Q16C22×D5911yescharacteristic
1185C2×Q16C22×D5911yescharacteristic
1186C2×Q16C22×D5911yescharacteristic
1187C2×Q16C22×D5911yescharacteristic
1188C2×SD16—591no—
1189C2×SD16—591no—
1190C2×SD16—591no—
1191C2×SD16—591no—
1192C2×SD16—591no—
1193C2×SD16—591no—
1194C2×SD16C22×D5911yescharacteristic
1195C2×SD16C22×D5911yescharacteristic
1196C2×SD16C22×D5911yescharacteristic
1197C2×SD16C22×D5911yescharacteristic
1198C2×D8—591no—
1199C2×D8C22×D5911yescharacteristic
1200C2×M16—591no—
1201C2×M16—591no—
1202C2×M16—591no—
1203C2×M16C22×D5911yescharacteristic
1204C22×C8—591no—
1205C22×C8—591no—
1206C22×C8—591no—
1207C22×C8C22×D5911yescharacteristic
1208C4⋊Q8—591no—
1209C4⋊Q8—591no—
1210C4⋊Q8—591no—
1211C4⋊Q8—591no—
1212C4⋊Q8—591no—
1213C4⋊Q8—1181no—
1214C4⋊Q8—1181no—
1215C4⋊Q8—1181no—
1216C4⋊Q8C22×D5911yescharacteristic
1217#126—1181no—
1218#126—1181no—
1219#126—1181no—
1220#126—1181no—
1221#126—1181no—
1222#125—591no—
1223#125—1181no—
1224#125—1181no—
1225#125—1181no—
1226#124—21no—
1227#124—1181no—
1228#124—1181no—
1229#124C22×D5911yescharacteristic
1230#123—21no—
1231#123—21no—
1232#123—1181no—
1233#123—1181no—
1234#123—1181no—
1235#123—1181no—
1236#123—1181no—
1237#123—1181no—
1238#123—1181no—
1239#123—1181no—
1240#123—1181no—
1241#123—1181no—
1242#123—1181no—
1243#123—1181no—
1244#123—1181no—
1245#123—1181no—
1246#123—1181no—
1247#123—1181no—
1248#123—1181no—
1249#123—1181no—
1250#123—1181no—
1251#123—1181no—
1252#123—1181no—
1253#123—1181no—
1254#123—1181no—
1255C22⋊Q8—21no—
1256C22⋊Q8—591no—
1257C22⋊Q8—591no—
1258C22⋊Q8—591no—
1259C22⋊Q8—591no—
1260C22⋊Q8—591no—
1261C22⋊Q8—591no—
1262C22⋊Q8—591no—
1263C22⋊Q8—591no—
1264C22⋊Q8—591no—
1265C22⋊Q8—591no—
1266C22⋊Q8—591no—
1267C22⋊Q8—591no—
1268C22⋊Q8—591no—
1269C22⋊Q8—591no—
1270C22⋊Q8—1181no—
1271C22⋊Q8—1181no—
1272C22⋊Q8—1181no—
1273C22⋊Q8—1181no—
1274C22⋊Q8—1181no—
1275C22⋊Q8—1181no—
1276C22⋊Q8—1181no—
1277C22⋊Q8—1181no—
1278C22⋊Q8—1181no—
1279C22⋊Q8—1181no—
1280C22⋊Q8—1181no—
1281C22⋊Q8—1181no—
1282C22⋊Q8—1181no—
1283C22⋊Q8C22×D5911yescharacteristic
1284C22⋊Q8C22×D5911yescharacteristic
1285C22⋊Q8C22×D5911yescharacteristic
1286#121—21no—
1287#121—21no—
1288#121—591no—
1289#121—591no—
1290#121—1181no—
1291#121—1181no—
1292#121—1181no—
1293#121—1181no—
1294#121—1181no—
1295#121—1181no—
1296#121—1181no—
1297#121—1181no—
1298#121—1181no—
1299#121C22×D5911yescharacteristic
1300#120—1181no—
1301#120—1181no—
1302C4×Q8—591no—
1303C4×Q8—591no—
1304C4×Q8—1181no—
1305C4×Q8—1181no—
1306C4×Q8C22×D5911yescharacteristic
1307C4×D4—21no—
1308C4×D4—591no—
1309C4×D4—591no—
1310C4×D4—591no—
1311C4×D4—591no—
1312C4×D4—591no—
1313C4×D4—591no—
1314C4×D4—591no—
1315C4×D4—591no—
1316C4×D4—591no—
1317C4×D4—591no—
1318C4×D4—591no—
1319C4×D4—1181no—
1320C4×D4—1181no—
1321C4×D4—1181no—
1322C4×D4—1181no—
1323C4×D4—1181no—
1324C4×D4—1181no—
1325C4×D4—1181no—
1326C4×D4—1181no—
1327C4×D4—1181no—
1328C4×D4C22×D5911yescharacteristic
1329C4×D4C22×D5911yescharacteristic
1330#117—591no—
1331#117—591no—
1332#117—1181no—
1333#117—1181no—
1334#117—1181no—
1335#117—1181no—
1336C2×C4⋊C4—21no—
1337C2×C4⋊C4—591no—
1338C2×C4⋊C4—591no—
1339C2×C4⋊C4—591no—
1340C2×C4⋊C4—591no—
1341C2×C4⋊C4—1181no—
1342C2×C4⋊C4—1181no—
1343C2×C4⋊C4—1181no—
1344C2×C4⋊C4—1181no—
1345C2×C4⋊C4—1181no—
1346C2×C4⋊C4—1181no—
1347C2×C4⋊C4—1181no—
1348C2×C4⋊C4—1181no—
1349C2×C4⋊C4—1181no—
1350C2×C4⋊C4—1181no—
1351C2×C4⋊C4—1181no—
1352C2×C4⋊C4—1181no—
1353C2×C4⋊C4—1181no—
1354C2×C4⋊C4—1181no—
1355C2×C22⋊C4—591no—
1356C2×C22⋊C4—591no—
1357C2×C22⋊C4—1181no—
1358C2×C22⋊C4—1181no—
1359C2×C22⋊C4—1181no—
1360C2×C22⋊C4—1181no—
1361C2×C22⋊C4—1181no—
1362C2×C42—591no—
1363#107—591no—
1364#107—591no—
1365#107—591no—
1366#107—591no—
1367#107—591no—
1368#107C22×D5911yescharacteristic
1369#106—591no—
1370#106—591no—
1371C4⋊C8—591no—
1372C4⋊C8—591no—
1373C4⋊C8—591no—
1374C4⋊C8C22×D5911yescharacteristic
1375#103—591no—
1376#103—591no—
1377#103—591no—
1378#103—591no—
1379#103—591no—
1380#103—591no—
1381#103—591no—
1382#103—591no—
1383#103—591no—
1384#103—591no—
1385#103—591no—
1386#103—591no—
1387#103—591no—
1388#103—591no—
1389#103—591no—
1390#103—591no—
1391#103—591no—
1392#103—591no—
1393#103C22×D5911yescharacteristic
1394#103C22×D5911yescharacteristic
1395#103C22×D5911yescharacteristic
1396#103C22×D5911yescharacteristic
1397#102—591no—
1398#102—591no—
1399#102—591no—
1400#102—591no—
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102C22×D5911yescharacteristic
1406#102C22×D5911yescharacteristic
1407C22⋊C8—591no—
1408C22⋊C8—591no—
1409C22⋊C8—591no—
1410C22⋊C8—591no—
1411C22⋊C8—591no—
1412C22⋊C8—591no—
1413C22⋊C8—591no—
1414C22⋊C8—591no—
1415C22⋊C8—591no—
1416C22⋊C8—591no—
1417C22⋊C8C22×D5911yescharacteristic
1418C22⋊C8C22×D5911yescharacteristic
1419#97—591no—
1420#97C22×D5911yescharacteristic
1421C4×C8—591no—
1422C4×C8—591no—
1423C24—591no—
1424C24—591no—
1425C24—1181no—
1426#41—22no—
1427#41—22no—
1428#41—41no—
1429#41—41no—
1430#41—41no—
1431#41—41no—
1432#41—1182no—
1433#41—1182no—
1434#41—1182no—
1435#41—1182no—
1436#41—1182no—
1437#41—1182no—
1438#41—2361no—
1439#41—2361no—
1440#41—2364no—
1441#41—2364no—
1442#41—2361no—
1443#41—2361no—
1444#41—2361no—
1445#41—2361no—
1446#41—2361no—
1447#41—2361no—
1448#41—2364no—
1449#41—2364no—
1450#41—2364no—
1451C2×Q8—21no—
1452C2×Q8—41no—
1453C2×Q8—41no—
1454C2×Q8—591no—
1455C2×Q8—591no—
1456C2×Q8—591no—
1457C2×Q8—1181no—
1458C2×Q8—1181no—
1459C2×Q8—1181no—
1460C2×Q8—1181no—
1461C2×Q8—2361no—
1462C2×Q8—2361no—
1463C2×Q8—2361no—
1464C2×Q8—2361no—
1465C2×Q8—2361no—
1466C2×Q8—2361no—
1467C2×Q8C23×D5911yescharacteristic
1468C2×Q8C23×D5911yescharacteristic
1469C2×Q8C23×D5911yescharacteristic
1470C2×Q8C23×D5911yescharacteristic
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—591no—
1476C2×D4—591no—
1477C2×D4—591no—
1478C2×D4—591no—
1479C2×D4—1181no—
1480C2×D4—1181no—
1481C2×D4—1181no—
1482C2×D4—1182no—
1483C2×D4—1182no—
1484C2×D4—1181no—
1485C2×D4—1181no—
1486C2×D4—1181no—
1487C2×D4—1181no—
1488C2×D4—1181no—
1489C2×D4—1181no—
1490C2×D4—1181no—
1491C2×D4—2362no—
1492C2×D4—2364no—
1493C2×D4—2364no—
1494C2×D4D4×D5911yescharacteristic
1495C2×D4C23×D5911yescharacteristic
1496C2×D4C23×D5911yescharacteristic
1497C22×C4—21no—
1498C22×C4—21no—
1499C22×C4—21no—
1500C22×C4—21no—
1501C22×C4—21no—
1502C22×C4—591no—
1503C22×C4—591no—
1504C22×C4—591no—
1505C22×C4—591no—
1506C22×C4—591no—
1507C22×C4—591no—
1508C22×C4—591no—
1509C22×C4—591no—
1510C22×C4—591no—
1511C22×C4—591no—
1512C22×C4—591no—
1513C22×C4—1181no—
1514C22×C4—1181no—
1515C22×C4—1181no—
1516C22×C4—1181no—
1517C22×C4—1181no—
1518C22×C4—1181no—
1519C22×C4—1181no—
1520C22×C4—1181no—
1521C22×C4—1181no—
1522C22×C4—1181no—
1523C22×C4—1181no—
1524C22×C4—1181no—
1525C22×C4—1181no—
1526C22×C4—1181no—
1527C22×C4—1181no—
1528C22×C4—1181no—
1529C22×C4—1181no—
1530C22×C4—2361no—
1531C22×C4—2361no—
1532C22×C4—2361no—
1533C22×C4—2361no—
1534C22×C4—2364no—
1535C22×C4—2364no—
1536C22×C4—2364no—
1537C22×C4C23×D5911yescharacteristic
1538C22×C4C23×D5911yescharacteristic
1539Q16—41no—
1540Q16—41no—
1541Q16—41no—
1542Q16—41no—
1543Q16—2361no—
1544Q16—2361no—
1545Q16—2361no—
1546Q16—2361no—
1547Q16—2361no—
1548Q16—2361no—
1549Q16—2361no—
1550Q16—2361no—
1551SD16—22no—
1552SD16—22no—
1553SD16—41no—
1554SD16—41no—
1555SD16—1182no—
1556SD16—1182no—
1557SD16—1182no—
1558SD16—1182no—
1559SD16—2361no—
1560SD16—2361no—
1561D8—22no—
1562D8—1182no—
1563M16—41no—
1564M16—2361no—
1565M16—2361no—
1566M16—2361no—
1567C2×C8—41no—
1568C2×C8—591no—
1569C2×C8—591no—
1570C2×C8—591no—
1571C2×C8—591no—
1572C2×C8—2361no—
1573C2×C8—2361no—
1574C2×C8—2361no—
1575C2×C8C23×D5911yescharacteristic
1576C2×C8C23×D5911yescharacteristic
1577C2×C8C23×D5911yescharacteristic
1578C2×C8C23×D5911yescharacteristic
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—591no—
1586C4⋊C4—591no—
1587C4⋊C4—591no—
1588C4⋊C4—591no—
1589C4⋊C4—591no—
1590C4⋊C4—591no—
1591C4⋊C4—591no—
1592C4⋊C4—1181no—
1593C4⋊C4—1181no—
1594C4⋊C4—1181no—
1595C4⋊C4—1181no—
1596C4⋊C4—1181no—
1597C4⋊C4—1181no—
1598C4⋊C4—1181no—
1599C4⋊C4—1181no—
1600C4⋊C4—1181no—
1601C4⋊C4—1181no—
1602C4⋊C4—1181no—
1603C4⋊C4—1181no—
1604C4⋊C4—1181no—
1605C4⋊C4—1181no—
1606C4⋊C4—1181no—
1607C4⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4—1181no—
1610C4⋊C4—1181no—
1611C4⋊C4—1181no—
1612C4⋊C4—1181no—
1613C4⋊C4—1181no—
1614C4⋊C4—1181no—
1615C4⋊C4—1181no—
1616C4⋊C4—1181no—
1617C4⋊C4—1181no—
1618C4⋊C4—1181no—
1619C4⋊C4—1181no—
1620C4⋊C4—1181no—
1621C4⋊C4—1181no—
1622C4⋊C4D4×D5911yescharacteristic
1623C4⋊C4C23×D5911yescharacteristic
1624C4⋊C4C23×D5911yescharacteristic
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—591no—
1633C22⋊C4—591no—
1634C22⋊C4—591no—
1635C22⋊C4—591no—
1636C22⋊C4—591no—
1637C22⋊C4—591no—
1638C22⋊C4—1181no—
1639C22⋊C4—1181no—
1640C22⋊C4—1181no—
1641C22⋊C4—1181no—
1642C22⋊C4—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
1647C22⋊C4—1181no—
1648C22⋊C4—1181no—
1649C22⋊C4—1181no—
1650C22⋊C4—1181no—
1651C22⋊C4—1181no—
1652C22⋊C4—1181no—
1653C22⋊C4—1181no—
1654C22⋊C4—1181no—
1655C22⋊C4—1181no—
1656C22⋊C4—1181no—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4—1181no—
1660C22⋊C4D4×D5911yescharacteristic
1661C22⋊C4D4×D5911yescharacteristic
1662C42—21no—
1663C42—591no—
1664C42—591no—
1665C42—591no—
1666C42—1181no—
1667C42—1181no—
1668C42—1181no—
1669C42—1181no—
1670C42C23×D5911yescharacteristic
1671C23—21no—
1672C23—21no—
1673C23—591no—
1674C23—591no—
1675C23—591no—
1676C23—1182no—
1677C23—1182no—
1678C23—1184no—
1679C23—1181no—
1680C23—2361no—
1681C23—2361no—
1682C23—2361no—
1683C23—2361no—
1684C23—2362no—
1685C23—2362no—
1686C23C2×D4×D5911yescharacteristic
1687C23C2×D4×D5911yescharacteristic
1688Q8—21no—
1689Q8—21no—
1690Q8—21no—
1691Q8—21no—
1692Q8—21no—
1693Q8—21no—
1694Q8—21no—
1695Q8—21no—
1696Q8—81no—
1697Q8—1181no—
1698Q8—1181no—
1699Q8—1181no—
1700Q8—1181no—
1701Q8—1181no—
1702Q8—1181no—
1703Q8—4721no—
1704Q8—2362no—
1705Q8—2362no—
1706Q8—2362no—
1707D4—21no—
1708D4—21no—
1709D4—21no—
1710D4—41no—
1711D4—42no—
1712D4—42no—
1713D4—42no—
1714D4—81no—
1715D4—592no—
1716D4—1182no—
1717D4—1182no—
1718D4—1184no—
1719D4—1181no—
1720D4—4721no—
1721D4—2361no—
1722D4—2362no—
1723D4—2362no—
1724D4—2362no—
1725D4—2362no—
1726D4—2362no—
1727D4—2362no—
1728D4—2362no—
1729D4—2362no—
1730D4#1427377212yes—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—42no—
1742C2×C4—42no—
1743C2×C4—42no—
1744C2×C4—81no—
1745C2×C4—81no—
1746C2×C4—591no—
1747C2×C4—591no—
1748C2×C4—591no—
1749C2×C4—591no—
1750C2×C4—591no—
1751C2×C4—1182no—
1752C2×C4—1182no—
1753C2×C4—1181no—
1754C2×C4—1181no—
1755C2×C4—1181no—
1756C2×C4—1181no—
1757C2×C4—1181no—
1758C2×C4—1181no—
1759C2×C4—1181no—
1760C2×C4—1181no—
1761C2×C4—1181no—
1762C2×C4—1181no—
1763C2×C4—1181no—
1764C2×C4—1181no—
1765C2×C4—1181no—
1766C2×C4—4721no—
1767C2×C4—4721no—
1768C2×C4—2361no—
1769C2×C4—2361no—
1770C2×C4—2361no—
1771C2×C4—2361no—
1772C2×C4—2362no—
1773C2×C4—2362no—
1774C2×C4—2362no—
1775C2×C4—2362no—
1776C2×C4—2362no—
1777C2×C4—2362no—
1778C2×C4—2362no—
1779C2×C4—2362no—
1780C2×C4—2362no—
1781C2×C4—2362no—
1782C2×C4—2362no—
1783C2×C4—2362no—
1784C2×C4—2361no—
1785C2×C4—2361no—
1786C2×C4—2362no—
1787C2×C4—2362no—
1788C2×C4—2362no—
1789C2×C4C2×D4×D5911yescharacteristic
1790C2×C4C2×D4×D5911yescharacteristic
1791C2×C4C2×D4×D5911yescharacteristic
1792C2×C4C2×D4×D5911yescharacteristic
1793C2×C4C24×D5911yescharacteristic
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—21no—
1798C8—1181no—
1799C8—1181no—
1800C8—1181no—
1801C8—1181no—
1802C22—21no—
1803C22—21no—
1804C22—22no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—592no—
1815C22—1181no—
1816C22—1181no—
1817C22—1181no—
1818C22—1181no—
1819C22—1182no—
1820C22—1181no—
1821C22—1181no—
1822C22—1181no—
1823C22—1181no—
1824C22—4722no—
1825C22—4722no—
1826C22—2368no—
1827C22—2361no—
1828C22—2361no—
1829C22C22×D4×D5911yescharacteristic
1830C4—21no—
1831C4—21no—
1832C4—21no—
1833C4—21no—
1834C4—41no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—592no—
1841C4—1181no—
1842C4—1181no—
1843C4—1181no—
1844C4—1181no—
1845C4—2361no—
1846C4—2361no—
1847C4—2361no—
1848C4—2361no—
1849C4—2361no—
1850C4—2361no—
1851C4—2361no—
1852C4H(5,𝔽2)×D5911yescharacteristic
1853C4C2×#1427377211yescharacteristic
1854C2—41no—
1855C2—41no—
1856C2—42no—
1857C2—81no—
1858C2—1182no—
1859C2—2361no—
1860C2—2361no—
1861C2—2362no—
1862C2#2143772411yescharacteristic
1863C2#575×D5911yescharacteristic
1864C2#578×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3269C2
socleC22×C59C23×D4
hypercenter#3269D59
hypocenterC59#61595
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3269

Complements

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

NH ≅ G/Ntype
1. #21438138C2semidirect
2. #547×D59C2semidirect
3. #21436396C2semidirect
4. #21436394C2semidirect
5. #21436199C2semidirect
6. #21436197C2semidirect
7. #21436194C2semidirect
8. #21436192C2semidirect
9. #21436008C2semidirect
10. #21436006C2semidirect
11. #21435812C2semidirect
12. #21435811C2semidirect
13. #21435736C2semidirect
14. #21435735C2semidirect
15. #21435657C2semidirect
16. #21435652C2semidirect
17. #21435650C2semidirect
18. #21435119C2semidirect
19. #21435043C2semidirect
20. #21434924C2semidirect
21. #21434921C2semidirect
22. #21434869C2semidirect
23. #21434867C2semidirect
24. #21434193C2semidirect
25. #21434142C2semidirect
26. #21433353C2semidirect
27. #21433352C2semidirect
28. #21433311C2semidirect
29. #21433310C2semidirect
30. #21433126C2semidirect
31. C59×#3269C2semidirect
34. C2×#14273759C22semidirect
35. C2×#14273758C22semidirect
36. C2×#14273756C22semidirect
37. C2×#14273748C22semidirect
38. C2×#14273747C22semidirect
39. C2×#14273746C22semidirect
40. #16838123C22semidirect
42. #16838093C22semidirect
43. #16838092C22semidirect
46. Q8×C22⋊D59C22semidirect
47. #16838060C22semidirect
55. #16838052C22semidirect
58. #16838051C22semidirect
81. #16837797C22semidirect
82. #16837780C22semidirect
83. #16837780C22semidirect
84. #16837771C22semidirect
85. #16837770C22semidirect
86. #16837751C22semidirect
87. #16837751C22semidirect
88. #16837745C22semidirect
89. #16837744C22semidirect
90. #16837741C22semidirect
91. #16837740C22semidirect
93. #16837739C22semidirect
94. #16837738C22semidirect
97. #16837736C22semidirect
98. #16837735C22semidirect
100. #16837703C22semidirect
101. #16837702C22semidirect
102. #16837681C22semidirect
103. #16837680C22semidirect
104. #16837660C22semidirect
105. #16837659C22semidirect
106. #16837658C22semidirect
107. #16837657C22semidirect
108. #16837647C22semidirect
109. #16837646C22semidirect
110. #16837645C22semidirect
111. #16837643C22semidirect
112. #16837642C22semidirect
113. #16837642C22semidirect
114. #16837641C22semidirect
115. #16837641C22semidirect
116. #16837640C22semidirect
117. #16837640C22semidirect
118. #16837614C22semidirect
119. #16837613C22semidirect
120. #16837612C22semidirect
121. #16837610C22semidirect
122. #16837610C22semidirect
123. #16837609C22semidirect
124. #16837606C22semidirect
125. #16837605C22semidirect
126. #16837605C22semidirect
127. #16837605C22semidirect
128. #16837566C22semidirect
129. #16837566C22semidirect
130. #16837565C22semidirect
131. #16837564C22semidirect
132. #16837564C22semidirect
133. #16837564C22semidirect
134. #16837563C22semidirect
135. #16837563C22semidirect
136. #16837563C22semidirect
137. #16837562C22semidirect
138. #16837561C22semidirect
139. #16837561C22semidirect
140. #16837561C22semidirect
141. #16837561C22semidirect
144. #16837559C22semidirect
145. #16837558C22semidirect
150. #16837556C22semidirect
154. #16837546C22semidirect
155. #16837545C22semidirect
156. #16837544C22semidirect
160. #16837504C22semidirect
161. #16837502C22semidirect
162. #16837500C22semidirect
163. SD16×Dic59C22semidirect
164. #16837487C22semidirect
165. D8×Dic59C22semidirect
166. #16837482C22semidirect
167. #16837478C22semidirect
168. #16837477C22semidirect
169. #16837475C22semidirect
170. #16837474C22semidirect
171. #16837472C22semidirect
172. C8×C22⋊D59C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
176. #16837404C22semidirect
177. #16837403C22semidirect
178. #16837402C22semidirect
179. #16837400C22semidirect
180. #16837399C22semidirect
181. #16837398C22semidirect
182. #16837397C22semidirect
183. #16837395C22semidirect
188. C2×#137×C59C22semidirect
189. C2×#135×C59C22semidirect
190. C59×#548C22semidirect
192. C59×#497C22semidirect
193. C59×#468C22semidirect
194. C59×#467C22semidirect
195. C59×#463C22semidirect
196. C59×#462C22semidirect
197. C59×#452C22semidirect
198. C59×#452C22semidirect
199. C59×#451C22semidirect
200. C59×#449C22semidirect
201. C59×#440C22semidirect
202. C59×#435C22semidirect
939. #3269D59semidirect
969. C2×#137C2×D59semidirect
973. C2×#135C2×D59semidirect
982. #548C2×D59semidirect
1018. #497C2×D59semidirect
1048. #468C2×D59semidirect
1056. #467C2×D59semidirect
1058. #463C2×D59semidirect
1064. #462C2×D59semidirect
1083. #452C2×D59semidirect
1084. #452C2×D59semidirect
1094. #451C2×D59semidirect
1101. #449C2×D59semidirect
1108. #440C2×D59semidirect
1118. #435C2×D59semidirect
1135. C59#61595semidirect

Maximal subgroups

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

subgroupindex
#214381382
#547×D592
#214363962
#214363942
#214361992
#214361972
#214361942
#214361922
#214360082
#214360062
#214358122
#214358112
#214357362
#214357352
#214356572
#214356522
#214356502
#214351192
#214350432
#214349242
#214349212
#214348692
#214348672
#214341932
#214341422
#214333532
#214333522
#214333112
#214333102
#214331262
C59×#32692
#6159559