Finite Group Databasebeta

← #29475729

Subgroups — #29475729

Order 15104.

2224 conjugacy classes of subgroups.

The subgroup lattice has 1986 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438499C211yesmaximal, characteristic, complemented
2#21437859C211yesmaximal, characteristic, complemented
3#21436336C211yesmaximal, characteristic, complemented
4#21436333C211yesmaximal, characteristic, complemented
5#21436258C211yesmaximal, characteristic, complemented
6#21436255C211yesmaximal, characteristic, complemented
7#21436250C211yesmaximal, characteristic, complemented
8#21436247C211yesmaximal, characteristic, complemented
9#21436022C211yesmaximal, characteristic, complemented
10#21436019C211yesmaximal, characteristic, complemented
11#21435770C211yesmaximal, characteristic, complemented
12#21435766C211yesmaximal, characteristic, complemented
13#21435694C211yesmaximal, characteristic, complemented
14#21435693C211yesmaximal, characteristic, complemented
15#21435583C211yesmaximal, characteristic, complemented
16#21435580C211yesmaximal, characteristic, complemented
17#21435574C211yesmaximal, characteristic, complemented
18#21435573C211yesmaximal, characteristic, complemented
19#21435088C211yesmaximal, characteristic, complemented
20#21435027C211yesmaximal, characteristic, complemented
21#21434955C211yesmaximal, characteristic, complemented
22#21434953C211yesmaximal, characteristic, complemented
23#21434942C211yesmaximal, characteristic, complemented
24#21434184C211yesmaximal, characteristic, complemented
25#21434093C211yesmaximal, characteristic, complemented
26#21433366C211yesmaximal, characteristic, complemented
27#21433362C211yesmaximal, characteristic, complemented
28#21433361C211yesmaximal, characteristic, complemented
29#21433361C211yesmaximal, characteristic, complemented
30#21433169C211yesmaximal, characteristic, complemented
31C59×#3198C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic, complemented
33C2×#14273773C2211yescharacteristic, complemented
34C2×#14273755C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273754C2211yescharacteristic, complemented
37C2×#14273753C2211yescharacteristic, complemented
38C22×D472C2211yescharacteristic, complemented
39C22×#11745669C2211yescharacteristic, complemented
40C2×D8×D59C2211yescharacteristic, complemented
41C2×D8×D59C2211yescharacteristic, complemented
42#16838145—21no—
43#16838144—21no—
44#16838116C2211yescharacteristic, complemented
45#16838116C2211yescharacteristic, complemented
46#16838115C2211yescharacteristic, complemented
47#16838115C2211yescharacteristic, complemented
48#16838114—21no—
49#16838054—21no—
50#16838054C2211yescharacteristic, complemented
51#16838054C2211yescharacteristic, complemented
52#16838049—21no—
53#16838049C2211yescharacteristic, complemented
54#16838049C2211yescharacteristic, complemented
55#16838043—21no—
56#16838043C2211yescharacteristic, complemented
57#16838043C2211yescharacteristic, complemented
58#16838036—21no—
59#16838036C2211yescharacteristic, complemented
60#16838036C2211yescharacteristic, complemented
61#16838036C2211yescharacteristic, complemented
62#16838036C2211yescharacteristic, complemented
63D4×C22⋊D59C2211yescharacteristic, complemented
64D4×C22⋊D59C2211yescharacteristic, complemented
65#16838034—21no—
66#16837983C2211yescharacteristic, complemented
67#16837968C2211yescharacteristic, complemented
68#16837968C2211yescharacteristic, complemented
69#16837967—21no—
70#16837967—21no—
71#16837966C2211yescharacteristic, complemented
72#16837965—21no—
73#16837965—21no—
74#16837960—21no—
75#16837960—21no—
76#16837948C2211yescharacteristic
77#16837948C2211yescharacteristic, complemented
78#16837947C2211yescharacteristic, complemented
79#16837947C2211yescharacteristic, complemented
80#121×D59—21no—
81#121×D59—21no—
82C2×#14273689C2211yescharacteristic, complemented
83#16837790C2211yescharacteristic, complemented
84#16837788C2211yescharacteristic, complemented
85#16837777C2211yescharacteristic, complemented
86#16837773C2211yescharacteristic, complemented
87#16837763C2211yescharacteristic, complemented
88#16837760C2211yescharacteristic, complemented
89#16837751C2211yescharacteristic, complemented
90#16837747C2211yescharacteristic, complemented
91#16837746C2211yescharacteristic, complemented
92#16837745C2211yescharacteristic, complemented
93#16837740C2211yescharacteristic, complemented
94#16837729C2211yescharacteristic, complemented
95#16837728C2211yescharacteristic, complemented
96#16837723C2211yescharacteristic, complemented
97#16837720C2211yescharacteristic, complemented
98#16837715C2211yescharacteristic, complemented
99#16837691C2211yescharacteristic, complemented
100#16837691C2211yescharacteristic, complemented
101#16837681C2211yescharacteristic, complemented
102#16837681C2211yescharacteristic, complemented
103#16837656C2211yescharacteristic, complemented
104#16837654C2211yescharacteristic, complemented
105#16837653C2211yescharacteristic, complemented
106#16837650C2211yescharacteristic, complemented
107#16837649C2211yescharacteristic, complemented
108#16837647C2211yescharacteristic, complemented
109#16837639C2211yescharacteristic, complemented
110#16837637C2211yescharacteristic, complemented
111#16837636C2211yescharacteristic, complemented
112#16837633C2211yescharacteristic, complemented
113#16837632C2211yescharacteristic, complemented
114#16837630C2211yescharacteristic, complemented
115#16837620C2211yescharacteristic, complemented
116#16837619C2211yescharacteristic, complemented
117#16837616C2211yescharacteristic, complemented
118#16837615C2211yescharacteristic, complemented
119#16837606C2211yescharacteristic, complemented
120#16837605C2211yescharacteristic, complemented
121#16837596C2211yescharacteristic, complemented
122#16837596C2211yescharacteristic, complemented
123#16837596C2211yescharacteristic, complemented
124#16837596C2211yescharacteristic, complemented
125#16837596C2211yescharacteristic, complemented
126#16837595C2211yescharacteristic, complemented
127#16837554C2211yescharacteristic, complemented
128#16837554C2211yescharacteristic, complemented
129#16837552C2211yescharacteristic, complemented
130#16837550C2211yescharacteristic, complemented
131#16837550C2211yescharacteristic, complemented
132#16837549C2211yescharacteristic, complemented
133#16837549C2211yescharacteristic, complemented
134#16837549C2211yescharacteristic, complemented
135#16837549C2211yescharacteristic, complemented
136#16837547C2211yescharacteristic, complemented
137#16837547C2211yescharacteristic, complemented
138#16837546C2211yescharacteristic, complemented
139#16837546C2211yescharacteristic, complemented
140#16837545C2211yescharacteristic, complemented
141#16837545C2211yescharacteristic, complemented
142#16837545C2211yescharacteristic, complemented
143#16837545C2211yescharacteristic, complemented
144#16837538C2211yescharacteristic, complemented
145#16837538C2211yescharacteristic, complemented
146#16837538C2211yescharacteristic, complemented
147#16837538C2211yescharacteristic, complemented
148#16837537C2211yescharacteristic, complemented
149#16837537C2211yescharacteristic, complemented
150#16837537C2211yescharacteristic, complemented
151#16837537C2211yescharacteristic, complemented
152#16837535C2211yescharacteristic, complemented
153#16837535C2211yescharacteristic, complemented
154#16837535C2211yescharacteristic, complemented
155#16837535C2211yescharacteristic, complemented
156#16837535C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837513C2211yescharacteristic, complemented
160#16837513C2211yescharacteristic, complemented
161#16837511C2211yescharacteristic, complemented
162#16837511C2211yescharacteristic, complemented
163#16837484C2211yescharacteristic, complemented
164#16837484C2211yescharacteristic, complemented
165#16837482C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic, complemented
167#16837478C2211yescharacteristic, complemented
168#16837477C2211yescharacteristic, complemented
169#16837476C2211yescharacteristic, complemented
170#16837473C2211yescharacteristic, complemented
171#16837471C2211yescharacteristic, complemented
172#16837470C2211yescharacteristic, complemented
173C8×C22⋊D59C2211yescharacteristic, complemented
174(C22⋊D59)⋊C8C2211yescharacteristic, complemented
175#16837456C2211yescharacteristic, complemented
176#16837452C2211yescharacteristic, complemented
177#16837408C2211yescharacteristic, complemented
178#16837406C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic, complemented
180#16837405C2211yescharacteristic, complemented
181#16837399C2211yescharacteristic, complemented
182#16837397C2211yescharacteristic, complemented
183#16837397C2211yescharacteristic, complemented
184#16837396C2211yescharacteristic, complemented
185#16837369C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C59×#537C2211yescharacteristic, complemented
189C59×#535C2211yescharacteristic, complemented
190C59×#485C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#481C2211yescharacteristic, complemented
193C59×#480C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#466C2211yescharacteristic, complemented
197C59×#465C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C59×#449C2211yescharacteristic, complemented
200C59×#449C2211yescharacteristic, complemented
201C59×#447C2211yescharacteristic, complemented
202C59×#408C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205#14273773—42no—
206#14273773—42no—
207C2×#11745689—21no—
208C2×#11745689C2311yescharacteristic
209C2×#11745689C2311yescharacteristic
210C2×#11745685—21no—
211C2×#11745685C2311yescharacteristic
212C2×#11745685C2311yescharacteristic
213C2×#11745685C2311yescharacteristic
214C2×#11745685C2311yescharacteristic
215C2×#11745687—21no—
216C2×#11745687—21no—
217C22×D236—21no—
218C22×D236C2311yescharacteristic
219C22×D236C2311yescharacteristic
220C22×D236C2311yescharacteristic
221C22×D236C2311yescharacteristic
222C22×C22⋊D59—21no—
223C22×C22⋊D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59—21no—
230C2×D4×D59—21no—
231C2×D4×D59—21no—
232C2×D4×D59—21no—
233C2×D4×D59C2311yescharacteristic
234C2×D4×D59C2311yescharacteristic
235C2×D4×D59C2311yescharacteristic
236C2×D4×D59C2311yescharacteristic
237C22×C4×D59—21no—
238#14273755—42no—
239#14273754—42no—
240#14273754—42no—
241#14273753—42no—
242C2×#11745660C2311yescharacteristic
243C2×#11745660C2311yescharacteristic
244C2×#11745670C2311yescharacteristic
245C2×#11745670C2311yescharacteristic
246C2×#11745671C2311yescharacteristic
247C2×#11745671C2311yescharacteristic
248C2×D472—42no—
249C2×D472C2311yescharacteristic
250C2×D472C2311yescharacteristic
251C2×D472C2311yescharacteristic
252C2×D472C2311yescharacteristic
253C2×D472C2311yescharacteristic
254C2×D472C2311yescharacteristic
255C2×#11745669—42no—
256C2×#11745669C2311yescharacteristic
257C2×#11745669C2311yescharacteristic
258C2×#11745669C2311yescharacteristic
259C2×#11745669C2311yescharacteristic
260C2×#11745669C2311yescharacteristic
261C2×#11745669C2311yescharacteristic
262C2×#11745669C2311yescharacteristic
263C2×#11745669C2311yescharacteristic
264D8×D59—42no—
265D8×D59—42no—
266C2×#11745664C2311yescharacteristic
267C2×#11745659C2311yescharacteristic
268C2×#11745659C2311yescharacteristic
269C22×C59⋊C8C2311yescharacteristic
270C2×C8×D59C2311yescharacteristic
271C2×C8×D59C2311yescharacteristic
272#14273726C2311yescharacteristic
273#14273726C2311yescharacteristic
274#14273725D411yescharacteristic
275#14273725C2311yescharacteristic
276#14273723—21no—
277#14273723—21no—
278#14273723—21no—
279#14273723D411yescharacteristic
280#14273723C2311yescharacteristic
281#14273723C2311yescharacteristic
282#14273723C2311yescharacteristic
283#14273716—21no—
284#14273716D411yescharacteristic
285#14273716C2311yescharacteristic
286#14273715—21no—
287#14273715—21no—
288#14273714—21no—
289#14273714—21no—
290#14273714D411yescharacteristic
291#14273714C2311yescharacteristic
292#14273713—21no—
293#14273713—21no—
294#14273713—21no—
295#14273713—21no—
296#14273713—21no—
297#14273713—21no—
298#14273713—21no—
299#14273713—21no—
300#14273712—21no—
301#14273712—21no—
302#14273712—21no—
303#14273712—21no—
304#14273709—21no—
305#14273709—21no—
306#14273709—21no—
307#14273709—21no—
308#14273707—21no—
309#14273707C2311yescharacteristic
310#14273707C2311yescharacteristic
311#14273702—21no—
312#14273702—21no—
313#14273702—21no—
314#14273702C2311yescharacteristic
315#14273702C2311yescharacteristic
316#14273702C2311yescharacteristic
317#14273702C2311yescharacteristic
318#14273701—21no—
319#14273701—21no—
320#14273701C2311yescharacteristic
321#14273701C2311yescharacteristic
322#14273701C2311yescharacteristic
323#14273701C2311yescharacteristic
324#14273700—21no—
325#14273700—21no—
326#14273700—21no—
327#14273700—21no—
328#14273700—21no—
329#14273700—21no—
330#14273700—21no—
331#14273700—21no—
332#14273699—21no—
333#14273699—21no—
334#14273699—21no—
335#14273699—21no—
336#14273699—21no—
337#14273699—21no—
338#14273699—21no—
339#14273699—21no—
340#14273699D411yescharacteristic
341#14273699D411yescharacteristic
342#14273699D411yescharacteristic
343#14273699D411yescharacteristic
344#14273698—21no—
345#14273698—21no—
346#14273698C2311yescharacteristic
347#14273698C2311yescharacteristic
348#14273697—21no—
349#14273697—21no—
350#14273697—21no—
351#14273697—21no—
352#14273697—21no—
353#14273697—21no—
354#14273697—21no—
355#14273697—21no—
356#14273696—21no—
357#14273696—21no—
358#14273695—21no—
359#14273695—21no—
360#14273695—21no—
361#14273695—21no—
362#14273695—21no—
363#14273695—21no—
364#14273695—21no—
365#14273695—21no—
366#14273695—21no—
367#14273695—21no—
368#14273695—21no—
369#14273695—21no—
370D4×Dic59C2311yescharacteristic
371D4×Dic59C2311yescharacteristic
372#14273689—21no—
373#14273689—21no—
374#14273689C2311yescharacteristic
375#14273689C2311yescharacteristic
376#14273689C2311yescharacteristic
377#14273689C2311yescharacteristic
378#14273689C2311yescharacteristic
379#14273689C2311yescharacteristic
380C4×C22⋊D59—21no—
381C4×C22⋊D59—21no—
382C4×C22⋊D59C2311yescharacteristic
383C4×C22⋊D59C2311yescharacteristic
384C4×C22⋊D59C2311yescharacteristic
385C4×C22⋊D59C2311yescharacteristic
386(C22⋊D59)⋊C4—21no—
387(C22⋊D59)⋊C4—21no—
388#14273686C2311yescharacteristic
389#14273685C2311yescharacteristic
390#14273685C2311yescharacteristic
391#14273684—21no—
392#14273684—21no—
393#14273683—21no—
394#14273683—21no—
395C4⋊C4×D59—21no—
396C4⋊C4×D59—21no—
397C2×(C2×D59)⋊C4—21no—
398C22⋊C4×D59—21no—
399C22⋊C4×D59—21no—
400C22⋊C4×D59—21no—
401C22⋊C4×D59—21no—
402C2×C4×Dic59C2311yescharacteristic
403#14273660C2311yescharacteristic
404#14273660C2311yescharacteristic
405#14273658C2311yescharacteristic
406#14273658C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437C22⋊(C59⋊C8)C2311yescharacteristic
438C22⋊(C59⋊C8)C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443#14273637C2311yescharacteristic
444#14273637C2311yescharacteristic
445C8×Dic59C2311yescharacteristic
446C8×Dic59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C2×#41×C59C2311yescharacteristic
449C22×D4×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×D8×C59C2311yescharacteristic
453C2×D8×C59C2311yescharacteristic
454C2×M16×C59C2311yescharacteristic
455C22×C8×C59C2311yescharacteristic
456#127×C59—21no—
457#124×C59—21no—
458C22⋊Q8×C59—21no—
459C22⋊Q8×C59C2311yescharacteristic
460C22⋊Q8×C59C2311yescharacteristic
461#121×C59—21no—
462#121×C59—21no—
463#121×C59—21no—
464#121×C59C2311yescharacteristic
465#121×C59C2311yescharacteristic
466#121×C59C2311yescharacteristic
467#121×C59C2311yescharacteristic
468#121×C59C2311yescharacteristic
469#121×C59C2311yescharacteristic
470#120×C59—21no—
471#120×C59—21no—
472#117×C59C2311yescharacteristic
473C2×C4⋊C4×C59C2311yescharacteristic
474#107×C59C2311yescharacteristic
475#107×C59C2311yescharacteristic
476#106×C59C2311yescharacteristic
477#106×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C22⋊C8×C59C2311yescharacteristic
490C24×C59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496C23×D59—21no—
497C23×D59—21no—
498C23×D59—21no—
499#41×C59—41no—
500#41×C59—41no—
501#41×C59—41no—
502#41×C59—41no—
503C2×Q8×C59C2×D411yescharacteristic
504C2×Q8×C59C2411yescharacteristic
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59—21no—
511C2×D4×C59—21no—
512C2×D4×C59—21no—
513C2×D4×C59—41no—
514C2×D4×C59—41no—
515C2×D4×C59C2×D411yescharacteristic
516C2×D4×C59C2×D411yescharacteristic
517C2×D4×C59C2×D411yescharacteristic
518C2×D4×C59C2411yescharacteristic
519C2×D4×C59C2411yescharacteristic
520C2×D4×C59C2411yescharacteristic
521C22×C4×C59—21no—
522C22×C4×C59—21no—
523C22×C4×C59C2411yescharacteristic
524C22×C4×C59C2411yescharacteristic
525C22×C4×C59C2411yescharacteristic
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—21no—
540C2×C22⋊D59—21no—
541C2×C22⋊D59—21no—
542C2×C22⋊D59—21no—
543C2×C22⋊D59—21no—
544C2×C22⋊D59—21no—
545C2×C22⋊D59—82no—
546C2×C22⋊D59—82no—
547C2×C22⋊D59C2×D411yescharacteristic
548C2×C22⋊D59C2×D411yescharacteristic
549C2×C22⋊D59C2×D411yescharacteristic
550C2×C22⋊D59C2×D411yescharacteristic
551C2×C22⋊D59C2×D411yescharacteristic
552C2×C22⋊D59C2×D411yescharacteristic
553C22×Dic59—21no—
554C22×Dic59—21no—
555C22×Dic59C2×D411yescharacteristic
556C22×Dic59C2×D411yescharacteristic
557#11745689—22no—
558#11745689—22no—
559#11745689—41no—
560#11745689—41no—
561#11745689—44no—
562#11745687—82no—
563#11745687—82no—
564D4×D59—22no—
565D4×D59—22no—
566D4×D59—41no—
567D4×D59—41no—
568D4×D59—41no—
569D4×D59—41no—
570D4×D59—41no—
571D4×D59—41no—
572D4×D59—44no—
573D4×D59—44no—
574D4×D59—44no—
575D4×D59—44no—
576D4×D59—44no—
577D4×D59—82no—
578D4×D59—82no—
579D4×D59—82no—
580D4×D59—82no—
581#11745685—22no—
582#11745685—22no—
583#11745685—41no—
584#11745685—41no—
585#11745685—41no—
586#11745685—41no—
587#11745685—41no—
588#11745685—41no—
589#11745685—44no—
590C2×D236—21no—
591C2×D236—22no—
592C2×D236—22no—
593C2×D236—22no—
594C2×D236—22no—
595C2×D236—21no—
596C2×D236—21no—
597C2×D236—21no—
598C2×D236—21no—
599C2×D236—21no—
600C2×D236—21no—
601C2×D236—21no—
602C2×D236—21no—
603C2×D236—21no—
604C2×D236—41no—
605C2×D236—41no—
606C2×D236—41no—
607C2×D236—41no—
608C2×D236—44no—
609C2×D236C2×D411yescharacteristic
610C2×D236C2411yescharacteristic
611C2×D236C2411yescharacteristic
612C2×D236C2411yescharacteristic
613C2×D236C2411yescharacteristic
614C2×D236C2411yescharacteristic
615C2×C4×D59—21no—
616C2×C4×D59—21no—
617C2×C4×D59—21no—
618C2×C4×D59—21no—
619C2×C4×D59—21no—
620C2×C4×D59—21no—
621C2×C4×D59—21no—
622C2×C4×D59—21no—
623C2×C4×D59—21no—
624C2×C4×D59—21no—
625C2×C4×D59—21no—
626C2×C4×D59—82no—
627C2×C4×D59C2411yescharacteristic
628C2×C4×D59C2411yescharacteristic
629C2×Dic118—21no—
630C2×Dic118—21no—
631C2×Dic118C2×D411yescharacteristic
632C2×Dic118C2411yescharacteristic
633SD16×C59—41no—
634SD16×C59—41no—
635D8×C59—41no—
636D8×C59—41no—
637M16×C59—41no—
638C2×C8×C59—41no—
639C2×C8×C59C2411yescharacteristic
640C2×C8×C59C2411yescharacteristic
641C2×C8×C59C2411yescharacteristic
642C2×C8×C59C2411yescharacteristic
643C4⋊C4×C59—21no—
644C4⋊C4×C59—21no—
645C4⋊C4×C59—21no—
646C4⋊C4×C59C2411yescharacteristic
647C4⋊C4×C59C2411yescharacteristic
648C4⋊C4×C59C2411yescharacteristic
649C4⋊C4×C59C2411yescharacteristic
650C22⋊C4×C59—21no—
651C22⋊C4×C59—21no—
652C22⋊C4×C59—21no—
653C22⋊C4×C59—21no—
654C22⋊C4×C59—21no—
655C22⋊C4×C59—21no—
656C22⋊C4×C59—21no—
657C22⋊C4×C59—21no—
658C22⋊C4×C59—21no—
659C42×C59—21no—
660C22⋊Dic59—21no—
661C22⋊Dic59—21no—
662C22⋊Dic59—21no—
663C22⋊Dic59—21no—
664C22⋊Dic59—21no—
665C22⋊Dic59—21no—
666C22⋊Dic59—21no—
667C22⋊Dic59C2×D411yescharacteristic
668C22⋊Dic59C2×D411yescharacteristic
669C22⋊Dic59C2×D411yescharacteristic
670C22⋊Dic59C2×D411yescharacteristic
671#11745671—41no—
672#11745671—41no—
673#11745670—41no—
674#11745670—41no—
675#11745669—22no—
676#11745669—22no—
677#11745669—22no—
678#11745669—22no—
679#11745669—41no—
680#11745669—41no—
681#11745669—41no—
682#11745669—41no—
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)⋊C4—21no—
695(C2×D59)⋊C4—21no—
696(C2×D59)⋊C4—21no—
697(C2×D59)⋊C4—21no—
698(C2×D59)⋊C4—21no—
699(C2×D59)⋊C4—21no—
700(C2×D59)⋊C4—21no—
701(C2×D59)⋊C4—21no—
702(C2×D59)⋊C4—21no—
703(C2×D59)⋊C4C2×D411yescharacteristic
704(C2×D59)⋊C4C2×D411yescharacteristic
705(C2×D59)⋊C4C2×D411yescharacteristic
706(C2×D59)⋊C4C2×D411yescharacteristic
707C4⋊Dic59—21no—
708C4⋊Dic59—21no—
709C4⋊Dic59C2411yescharacteristic
710C4⋊Dic59C2411yescharacteristic
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4C2×D411yescharacteristic
716Dic59⋊C4C2×D411yescharacteristic
717Dic59⋊C4C2×D411yescharacteristic
718Dic59⋊C4C2×D411yescharacteristic
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722C4×Dic59C2×D411yescharacteristic
723C4×Dic59C2×D411yescharacteristic
724C4×Dic59C2411yescharacteristic
725C4×Dic59C2411yescharacteristic
726#11745664—41no—
727C2×C59⋊C8—41no—
728C2×C59⋊C8C2411yescharacteristic
729C2×C59⋊C8C2411yescharacteristic
730C2×C59⋊C8C2411yescharacteristic
731C2×C59⋊C8C2411yescharacteristic
732D472—22no—
733D472—22no—
734D472—22no—
735D472—22no—
736D472—41no—
737D472—41no—
738#11745660—41no—
739#11745660—41no—
740#11745659—41no—
741#11745659—41no—
742C8×D59—41no—
743C8×D59—41no—
744C23×C59—21no—
745C23×C59—21no—
746C23×C59—21no—
747C23×C59—81no—
748C23×C59—81no—
749C23×C59—81no—
750C23×C59C22×D411yescharacteristic
751C23×C59C22×D411yescharacteristic
752C23×C59C22×D411yescharacteristic
753C22×D59—21no—
754C22×D59—21no—
755C22×D59—24no—
756C22×D59—21no—
757C22×D59—21no—
758C22×D59—21no—
759C22×D59—42no—
760C22×D59—42no—
761C22×D59—42no—
762C22×D59—42no—
763C22×D59—81no—
764C22×D59—81no—
765C22×D59—81no—
766C22×D59—81no—
767C22×D59—81no—
768C22×D59—81no—
769C22×D59—81no—
770C22×D59—81no—
771C22×D59—81no—
772C22×D59—81no—
773C22×D59—81no—
774C22×D59—81no—
775C22×D59—81no—
776C22×D59—81no—
777C22×D59—81no—
778C22×D59—81no—
779C22×D59—81no—
780C22×D59—81no—
781C22×D59—81no—
782C22×D59C22×D411yescharacteristic
783C22×D59C22×D411yescharacteristic
784Q8×C59—21no—
785Q8×C59—21no—
786Q8×C59—41no—
787D4×C59—21no—
788D4×C59—21no—
789D4×C59—21no—
790D4×C59—21no—
791D4×C59—21no—
792D4×C59—21no—
793D4×C59—41no—
794D4×C59—41no—
795D4×C59—41no—
796D4×C59—42no—
797D4×C59—81no—
798D4×C59—81no—
799D4×C59—81no—
800D4×C59—81no—
801D4×C59—81no—
802D4×C59—81no—
803D4×C59—81no—
804C2×C4×C59—21no—
805C2×C4×C59—21no—
806C2×C4×C59—21no—
807C2×C4×C59—21no—
808C2×C4×C59—21no—
809C2×C4×C59—21no—
810C2×C4×C59—21no—
811C2×C4×C59—21no—
812C2×C4×C59—21no—
813C2×C4×C59—21no—
814C2×C4×C59—21no—
815C2×C4×C59—42no—
816C2×C4×C59—81no—
817C2×C4×C59C22×D411yescharacteristic
818C2×C4×C59C22×D411yescharacteristic
819C2×C4×C59C22×D411yescharacteristic
820C2×C4×C59C2511yescharacteristic
821C22⋊D59—22no—
822C22⋊D59—22no—
823C22⋊D59—41no—
824C22⋊D59—41no—
825C22⋊D59—41no—
826C22⋊D59—41no—
827C22⋊D59—42no—
828C22⋊D59—42no—
829C22⋊D59—42no—
830C22⋊D59—42no—
831C22⋊D59—42no—
832C22⋊D59—42no—
833C22⋊D59—42no—
834C22⋊D59—42no—
835C22⋊D59—81no—
836C22⋊D59—81no—
837C22⋊D59—81no—
838C22⋊D59—81no—
839C22⋊D59—81no—
840C22⋊D59—81no—
841C22⋊D59—81no—
842C22⋊D59—81no—
843C22⋊D59—81no—
844C22⋊D59—81no—
845C22⋊D59—81no—
846C2×Dic59—22no—
847C2×Dic59—21no—
848C2×Dic59—21no—
849C2×Dic59—21no—
850C2×Dic59—41no—
851C2×Dic59—42no—
852C2×Dic59—42no—
853C2×Dic59C22×D411yescharacteristic
854C2×Dic59C22×D411yescharacteristic
855C2×Dic59C22×D411yescharacteristic
856C2×Dic59C22×D411yescharacteristic
857C2×Dic59C22×D411yescharacteristic
858C2×Dic59C22×D411yescharacteristic
859D236—24no—
860D236—21no—
861D236—21no—
862D236—21no—
863D236—21no—
864D236—21no—
865D236—21no—
866D236—21no—
867D236—21no—
868D236—41no—
869D236—42no—
870D236—42no—
871D236—42no—
872D236—42no—
873D236—81no—
874D236—81no—
875D236—81no—
876D236—81no—
877D236—81no—
878D236H(5,𝔽2)12yes—
879D236H(5,𝔽2)12yes—
880C4×D59—21no—
881C4×D59—21no—
882C4×D59—21no—
883C4×D59—21no—
884C4×D59—42no—
885C4×D59—42no—
886C4×D59—42no—
887C4×D59—42no—
888C4×D59—42no—
889C4×D59—42no—
890C4×D59—42no—
891C4×D59—42no—
892C4×D59—42no—
893C4×D59—81no—
894C4×D59—81no—
895Dic118—21no—
896Dic118—21no—
897Dic118—41no—
898Dic118—81no—
899Dic118—81no—
900C8×C59—21no—
901C8×C59—21no—
902C8×C59—21no—
903C8×C59—21no—
904C59⋊C8—21no—
905C59⋊C8—21no—
906C59⋊C8—21no—
907C59⋊C8—21no—
908#61679—591nomaximal, Sylow
909C22×C59—21no—
910C22×C59—21no—
911C22×C59—21no—
912C22×C59—21no—
913C22×C59—21no—
914C22×C59—21no—
915C22×C59—21no—
916C22×C59—21no—
917C22×C59—21no—
918C22×C59—41no—
919C22×C59—41no—
920C22×C59—41no—
921C22×C59—41no—
922C22×C59—41no—
923C22×C59—41no—
924C22×C59—41no—
925C22×C59—41no—
926C22×C59—41no—
927C22×C59—162no—
928C22×C59C23×D411yescharacteristic
929C2×D59—21no—
930C2×D59—21no—
931C2×D59—21no—
932C2×D59—21no—
933C2×D59—22no—
934C2×D59—22no—
935C2×D59—21no—
936C2×D59—21no—
937C2×D59—41no—
938C2×D59—41no—
939C2×D59—41no—
940C2×D59—41no—
941C2×D59—41no—
942C2×D59—41no—
943C2×D59—41no—
944C2×D59—41no—
945C2×D59—41no—
946C2×D59—41no—
947C2×D59—41no—
948C2×D59—41no—
949C2×D59—41no—
950C2×D59—84no—
951C2×D59—162no—
952C2×D59—162no—
953C2×D59—162no—
954C2×D59—162no—
955C2×D59—162no—
956C2×D59—162no—
957C2×D59—162no—
958C4×C59—21no—
959C4×C59—21no—
960C4×C59—21no—
961C4×C59—41no—
962C4×C59—41no—
963C4×C59—41no—
964C4×C59—41no—
965C4×C59—41no—
966C4×C59C2×H(5,𝔽2)11yescharacteristic
967C4×C59C2×H(5,𝔽2)11yescharacteristic
968Dic59—21no—
969Dic59—21no—
970Dic59—21no—
971Dic59—21no—
972Dic59—21no—
973Dic59—41no—
974Dic59—41no—
975Dic59—41no—
976Dic59#57612yes—
977#3549—591no—
978#3496—591no—
979#3325—591no—
980#3325—591no—
981#3319—591no—
982#3319—591no—
983#3319—591no—
984#3319—591no—
985#3303—591no—
986#3303—591no—
987D4×D8—591no—
988D4×D8—591no—
989#3272—591no—
990#3272—591no—
991#3264—591no—
992#3264—591no—
993#3264—591no—
994#3264—591no—
995#3214—591no—
996#3207—591no—
997#3198—591no—
998#3198—591no—
999#3198—591no—
1000#3198D5911yescharacteristic, complemented
1001#3109—591no—
1002#3100—591no—
1003#3008—591no—
1004#3008—591no—
1005#3008—591no—
1006#3008—591no—
1007#2981—591no—
1008C2×C59—41no—
1009C2×C59—41no—
1010C2×C59—41no—
1011C2×C59—81no—
1012C2×C59—81no—
1013C2×C59—81no—
1014C2×C59#348411yescharacteristic
1015C2×C59C2×#57611yescharacteristic
1016C2×C59#358511yescharacteristic
1017D59—41no—
1018D59—41no—
1019D59—42no—
1020D59—42no—
1021D59—81no—
1022D59—81no—
1023D59—81no—
1024C2×H(5,𝔽2)—591no—
1025C2×H(5,𝔽2)—591no—
1026C2×AGL(1,ℤ/8)—591no—
1027C2×AGL(1,ℤ/8)—591no—
1028C2×AGL(1,ℤ/8)—591no—
1029C2×AGL(1,ℤ/8)—591no—
1030C22×D8—591no—
1031C22×D8—591no—
1032C22×D8—591no—
1033C22×D8—591no—
1034H(3,𝔽4)—1181no—
1035H(3,𝔽4)—1181no—
1036#555—591no—
1037#555—591no—
1038#555—591no—
1039#555—591no—
1040#555—1181no—
1041#547—591no—
1042#547—591no—
1043#547—1181no—
1044#546—591no—
1045#546—591no—
1046#546—591no—
1047#546—591no—
1048#546—1181no—
1049#546—1181no—
1050D42—591no—
1051D42—591no—
1052D42—591no—
1053D42—591no—
1054D42—591no—
1055D42—591no—
1056D42—1181no—
1057D42—1181no—
1058#537—591no—
1059#537C2×D5911yescharacteristic, complemented
1060#535—591no—
1061#535—591no—
1062#535—591no—
1063#535—1181no—
1064#535—1181no—
1065#535—1181no—
1066#535—1181no—
1067#535C2×D5911yescharacteristic, complemented
1068#534—1181no—
1069#534—1181no—
1070#532—591no—
1071#532—591no—
1072#532—591no—
1073#532—591no—
1074C2×#121—1181no—
1075C2×#121—1181no—
1076C2×C4×D4—591no—
1077#496—591no—
1078#496—591no—
1079#493—591no—
1080#492—591no—
1081#489—591no—
1082#489—591no—
1083#487—591no—
1084#486—591no—
1085#485—591no—
1086#485—591no—
1087#485—591no—
1088#485C2×D5911yescharacteristic, complemented
1089#482—591no—
1090#482—591no—
1091#482—591no—
1092#482C2×D5911yescharacteristic, complemented
1093#481—591no—
1094#481C2×D5911yescharacteristic, complemented
1095#480—591no—
1096#480C2×D5911yescharacteristic, complemented
1097#476—591no—
1098#476—591no—
1099#474—591no—
1100#474—591no—
1101#469—591no—
1102#469—591no—
1103#469—591no—
1104#469C2×D5911yescharacteristic, complemented
1105#468—591no—
1106#468—591no—
1107#468—591no—
1108#468C2×D5911yescharacteristic, complemented
1109#466—591no—
1110#466—591no—
1111#466—591no—
1112#466C2×D5911yescharacteristic, complemented
1113#465—591no—
1114#465—591no—
1115#465—591no—
1116#465C2×D5911yescharacteristic, complemented
1117#463—591no—
1118#463—591no—
1119#463—591no—
1120#463—591no—
1121#461—591no—
1122#461—591no—
1123#459—591no—
1124#459—591no—
1125#459—591no—
1126#459—591no—
1127#459—591no—
1128#459—591no—
1129#450—591no—
1130#450—591no—
1131#450—591no—
1132#450C2×D5911yescharacteristic, complemented
1133#449—591no—
1134#449—591no—
1135#449—591no—
1136#449—591no—
1137#449—591no—
1138#449—591no—
1139#449—591no—
1140#449—591no—
1141#449—591no—
1142#449—591no—
1143#449—591no—
1144#449—591no—
1145#449—591no—
1146#449—591no—
1147#449C2×D5911yescharacteristic, complemented
1148#449C2×D5911yescharacteristic, complemented
1149#447—591no—
1150#447—591no—
1151#447—591no—
1152#447—591no—
1153#447—591no—
1154#447—591no—
1155#447—591no—
1156#447—591no—
1157#447—591no—
1158#447—591no—
1159#447—591no—
1160#447—591no—
1161#447—591no—
1162#447—591no—
1163#447—591no—
1164#447C2×D5911yescharacteristic, complemented
1165#442—591no—
1166#442—591no—
1167#442—591no—
1168#442—591no—
1169C4×D8—591no—
1170C4×D8—591no—
1171C4×D8—591no—
1172C4×D8—591no—
1173#436—591no—
1174#436—591no—
1175#435—591no—
1176#435—591no—
1177#435—591no—
1178#435—591no—
1179C8×D4—591no—
1180C8×D4—591no—
1181#432—591no—
1182#431—591no—
1183#418—591no—
1184#418—591no—
1185#418—591no—
1186#418—591no—
1187#416—591no—
1188#416—591no—
1189#416—591no—
1190#416—591no—
1191#408—591no—
1192#408—591no—
1193#408—591no—
1194#408C2×D5911yescharacteristic, complemented
1195C59#6167911yescharacteristic, complemented, Sylow
1196H(5,𝔽2)—2362no—
1197H(5,𝔽2)—2362no—
1198H(5,𝔽2)—2362no—
1199H(5,𝔽2)—2362no—
1200C2×#41—591no—
1201C2×#41—591no—
1202C2×#41—591no—
1203C2×#41—591no—
1204C2×#41—591no—
1205C2×#41—591no—
1206C2×#41—1181no—
1207C2×#41—1181no—
1208C2×#41—1181no—
1209C2×#41—1181no—
1210C2×#41C22×D5911yescharacteristic
1211C2×#41C22×D5911yescharacteristic
1212C22×D4—591no—
1213C22×D4—591no—
1214C22×D4—591no—
1215C22×D4—591no—
1216C22×D4—591no—
1217C22×D4—591no—
1218C22×D4—591no—
1219C22×D4—591no—
1220C22×D4—1181no—
1221C22×D4—1181no—
1222C22×D4—1181no—
1223C22×D4—1181no—
1224C22×D4—1181no—
1225C22×D4—1181no—
1226C22×D4—1181no—
1227C22×D4—1181no—
1228C22×D4—1181no—
1229C22×D4—1181no—
1230C22×D4—1181no—
1231C22×D4—1181no—
1232C22×D4C22×D5911yescharacteristic
1233C23×C4—1181no—
1234AGL(1,ℤ/8)—2362no—
1235AGL(1,ℤ/8)—2362no—
1236AGL(1,ℤ/8)—2362no—
1237AGL(1,ℤ/8)—2362no—
1238C2×SD16—591no—
1239C2×SD16—591no—
1240C2×SD16—591no—
1241C2×SD16—591no—
1242C2×SD16—591no—
1243C2×SD16—591no—
1244C2×SD16C22×D5911yescharacteristic
1245C2×SD16C22×D5911yescharacteristic
1246C2×D8—591no—
1247C2×D8—591no—
1248C2×D8—591no—
1249C2×D8—591no—
1250C2×D8—591no—
1251C2×D8—591no—
1252C2×D8—591no—
1253C2×D8—591no—
1254C2×D8—591no—
1255C2×D8—591no—
1256C2×D8—591no—
1257C2×D8—591no—
1258C2×D8—591no—
1259C2×D8—591no—
1260C2×D8—2362no—
1261C2×D8—2362no—
1262C2×D8—2362no—
1263C2×D8—2362no—
1264C2×D8C22×D5911yescharacteristic
1265C2×D8C22×D5911yescharacteristic
1266C2×M16—591no—
1267C2×M16—591no—
1268C2×M16—591no—
1269C2×M16C22×D5911yescharacteristic
1270C22×C8—591no—
1271C22×C8—591no—
1272C22×C8—591no—
1273C22×C8C22×D5911yescharacteristic
1274C4⋊Q8—591no—
1275C4⋊Q8—591no—
1276C4⋊Q8—591no—
1277C4⋊Q8—591no—
1278#127—21no—
1279#127—591no—
1280#127—591no—
1281#127—591no—
1282#127—591no—
1283#127—1181no—
1284#127—1181no—
1285#127—1181no—
1286#124—21no—
1287#124—591no—
1288#124—591no—
1289#124—591no—
1290#124—591no—
1291#124—1181no—
1292#124—1181no—
1293#124—1181no—
1294#124—1181no—
1295#124—1181no—
1296#124—1181no—
1297#124—1181no—
1298#124—1181no—
1299#124—1181no—
1300#124—1181no—
1301#124—1181no—
1302#124—1181no—
1303#124—1181no—
1304#123—1181no—
1305#123—1181no—
1306#123—1181no—
1307#123—1181no—
1308#123—1181no—
1309#123—1181no—
1310#123—1181no—
1311#123—1181no—
1312C22⋊Q8—21no—
1313C22⋊Q8—591no—
1314C22⋊Q8—591no—
1315C22⋊Q8—1181no—
1316C22⋊Q8C22×D5911yescharacteristic
1317C22⋊Q8C22×D5911yescharacteristic
1318#121—21no—
1319#121—21no—
1320#121—21no—
1321#121—591no—
1322#121—591no—
1323#121—591no—
1324#121—591no—
1325#121—591no—
1326#121—591no—
1327#121—591no—
1328#121—591no—
1329#121—591no—
1330#121—591no—
1331#121—591no—
1332#121—591no—
1333#121—591no—
1334#121—591no—
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#121—1181no—
1350#121—1181no—
1351#121—1181no—
1352#121—1181no—
1353#121—1181no—
1354#121—1181no—
1355#121—1181no—
1356#121—1181no—
1357#121—1181no—
1358#121C22×D5911yescharacteristic
1359#121C22×D5911yescharacteristic
1360#121C22×D5911yescharacteristic
1361#121C22×D5911yescharacteristic
1362#121C22×D5911yescharacteristic
1363#121C22×D5911yescharacteristic
1364#120—21no—
1365#120—21no—
1366#120—1181no—
1367#120—1181no—
1368#120—1181no—
1369#120—1181no—
1370#120—1181no—
1371#120—1181no—
1372#120—1181no—
1373#120—1181no—
1374#120—1181no—
1375#120—1181no—
1376#120—1181no—
1377#120—1181no—
1378#120—1181no—
1379#120—1181no—
1380#120—1181no—
1381#120—1181no—
1382#120—1181no—
1383#120—1181no—
1384#120—1181no—
1385#120—1181no—
1386#120—1181no—
1387#120—1181no—
1388C4×D4—591no—
1389C4×D4—591no—
1390C4×D4—591no—
1391C4×D4—591no—
1392C4×D4—591no—
1393C4×D4—591no—
1394C4×D4—591no—
1395C4×D4—591no—
1396C4×D4—591no—
1397C4×D4—591no—
1398C4×D4—591no—
1399C4×D4—591no—
1400C4×D4—1181no—
1401C4×D4—1181no—
1402C4×D4—1181no—
1403C4×D4—1181no—
1404C4×D4—1181no—
1405C4×D4—1181no—
1406#117—591no—
1407#117—591no—
1408#117—591no—
1409#117—1181no—
1410#117—1181no—
1411#117—1181no—
1412#117—1181no—
1413#117C22×D5911yescharacteristic
1414C2×C4⋊C4—1181no—
1415C2×C4⋊C4—1181no—
1416C2×C4⋊C4C22×D5911yescharacteristic
1417C2×C22⋊C4—1181no—
1418C2×C22⋊C4—1181no—
1419C2×C22⋊C4—1181no—
1420C2×C22⋊C4—1181no—
1421C2×C22⋊C4—1181no—
1422C2×C42—591no—
1423#107—591no—
1424#107—591no—
1425#107C22×D5911yescharacteristic
1426#107C22×D5911yescharacteristic
1427#106—591no—
1428#106—591no—
1429#106C22×D5911yescharacteristic
1430#106C22×D5911yescharacteristic
1431C4⋊C8—591no—
1432C4⋊C8—591no—
1433C4⋊C8—591no—
1434C4⋊C8—591no—
1435#103—591no—
1436#103—591no—
1437#103—591no—
1438#103—591no—
1439#103—591no—
1440#103—591no—
1441#103C22×D5911yescharacteristic
1442#103C22×D5911yescharacteristic
1443#102—591no—
1444#102—591no—
1445#102—591no—
1446#102—591no—
1447#102—591no—
1448#102—591no—
1449#102—591no—
1450#102—591no—
1451#102—591no—
1452#102—591no—
1453#102—591no—
1454#102—591no—
1455#102—591no—
1456#102—591no—
1457#102—591no—
1458#102—591no—
1459#102—591no—
1460#102—591no—
1461#102C22×D5911yescharacteristic
1462#102C22×D5911yescharacteristic
1463#102C22×D5911yescharacteristic
1464#102C22×D5911yescharacteristic
1465#102C22×D5911yescharacteristic
1466#102C22×D5911yescharacteristic
1467C22⋊C8—591no—
1468C22⋊C8—591no—
1469C22⋊C8—591no—
1470C22⋊C8—591no—
1471C22⋊C8—591no—
1472C22⋊C8—591no—
1473C22⋊C8—591no—
1474C22⋊C8—591no—
1475C22⋊C8C22×D5911yescharacteristic
1476C22⋊C8C22×D5911yescharacteristic
1477C22⋊C8C22×D5911yescharacteristic
1478C22⋊C8C22×D5911yescharacteristic
1479#97—591no—
1480#97—591no—
1481C4×C8—591no—
1482C4×C8—591no—
1483C24—21no—
1484C24—1181no—
1485C24—1181no—
1486C24—1181no—
1487C24—1181no—
1488C24—1181no—
1489C24—1181no—
1490C24—1181no—
1491C24—1181no—
1492#41—41no—
1493#41—41no—
1494#41—41no—
1495#41—41no—
1496#41—1182no—
1497#41—1182no—
1498#41—1182no—
1499#41—1182no—
1500#41—4722no—
1501#41—4722no—
1502#41—2361no—
1503#41—2361no—
1504#41—2361no—
1505#41—2361no—
1506#41—2361no—
1507#41—2361no—
1508#41—2364no—
1509#41—2361no—
1510#41—2361no—
1511#41—2364no—
1512C2×Q8—591no—
1513C2×Q8—591no—
1514C2×Q8—1181no—
1515C2×Q8—1181no—
1516C2×Q8D4×D5911yescharacteristic
1517C2×Q8C23×D5911yescharacteristic
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—41no—
1527C2×D4—41no—
1528C2×D4—591no—
1529C2×D4—591no—
1530C2×D4—591no—
1531C2×D4—591no—
1532C2×D4—591no—
1533C2×D4—591no—
1534C2×D4—591no—
1535C2×D4—591no—
1536C2×D4—591no—
1537C2×D4—591no—
1538C2×D4—591no—
1539C2×D4—591no—
1540C2×D4—1182no—
1541C2×D4—1182no—
1542C2×D4—1182no—
1543C2×D4—1182no—
1544C2×D4—1181no—
1545C2×D4—1181no—
1546C2×D4—1181no—
1547C2×D4—1181no—
1548C2×D4—1181no—
1549C2×D4—1181no—
1550C2×D4—1181no—
1551C2×D4—1181no—
1552C2×D4—1181no—
1553C2×D4—1181no—
1554C2×D4—1181no—
1555C2×D4—1181no—
1556C2×D4—1181no—
1557C2×D4—1181no—
1558C2×D4—1181no—
1559C2×D4—1181no—
1560C2×D4—1182no—
1561C2×D4—1182no—
1562C2×D4—1181no—
1563C2×D4—1181no—
1564C2×D4—1181no—
1565C2×D4—1181no—
1566C2×D4—1181no—
1567C2×D4—1181no—
1568C2×D4—1181no—
1569C2×D4—1181no—
1570C2×D4—1181no—
1571C2×D4—1181no—
1572C2×D4—1181no—
1573C2×D4—1181no—
1574C2×D4—1181no—
1575C2×D4—4722no—
1576C2×D4—4722no—
1577C2×D4—4722no—
1578C2×D4—4722no—
1579C2×D4—4722no—
1580C2×D4—4722no—
1581C2×D4—2361no—
1582C2×D4—2361no—
1583C2×D4—2361no—
1584C2×D4—2361no—
1585C2×D4—2364no—
1586C2×D4—2361no—
1587C2×D4—2361no—
1588C2×D4—2361no—
1589C2×D4—2361no—
1590C2×D4—2361no—
1591C2×D4—2361no—
1592C2×D4—2364no—
1593C2×D4—2364no—
1594C2×D4—2364no—
1595C2×D4—2364no—
1596C2×D4—2364no—
1597C2×D4D4×D5911yescharacteristic
1598C2×D4D4×D5911yescharacteristic
1599C2×D4D4×D5911yescharacteristic
1600C2×D4C23×D5911yescharacteristic
1601C2×D4C23×D5911yescharacteristic
1602C2×D4C23×D5911yescharacteristic
1603C22×C4—21no—
1604C22×C4—21no—
1605C22×C4—591no—
1606C22×C4—591no—
1607C22×C4—591no—
1608C22×C4—591no—
1609C22×C4—1181no—
1610C22×C4—1181no—
1611C22×C4—1181no—
1612C22×C4—1181no—
1613C22×C4—1181no—
1614C22×C4—1181no—
1615C22×C4—1181no—
1616C22×C4—1181no—
1617C22×C4—1181no—
1618C22×C4—1181no—
1619C22×C4—1181no—
1620C22×C4—1181no—
1621C22×C4—1181no—
1622C22×C4—4722no—
1623C22×C4C23×D5911yescharacteristic
1624C22×C4C23×D5911yescharacteristic
1625C22×C4C23×D5911yescharacteristic
1626SD16—41no—
1627SD16—41no—
1628SD16—2361no—
1629SD16—2361no—
1630SD16—2361no—
1631SD16—2361no—
1632SD16—2361no—
1633SD16—2361no—
1634D8—41no—
1635D8—41no—
1636D8—1182no—
1637D8—1182no—
1638D8—1182no—
1639D8—1182no—
1640D8—1182no—
1641D8—1182no—
1642D8—1182no—
1643D8—1182no—
1644D8—2361no—
1645D8—2361no—
1646D8—2361no—
1647D8—2361no—
1648D8—2361no—
1649D8—2361no—
1650M16—41no—
1651M16—2361no—
1652M16—2361no—
1653M16—2361no—
1654C2×C8—41no—
1655C2×C8—591no—
1656C2×C8—591no—
1657C2×C8—591no—
1658C2×C8—591no—
1659C2×C8—2361no—
1660C2×C8—2361no—
1661C2×C8—2361no—
1662C2×C8C23×D5911yescharacteristic
1663C2×C8C23×D5911yescharacteristic
1664C2×C8C23×D5911yescharacteristic
1665C2×C8C23×D5911yescharacteristic
1666C4⋊C4—21no—
1667C4⋊C4—21no—
1668C4⋊C4—21no—
1669C4⋊C4—591no—
1670C4⋊C4—591no—
1671C4⋊C4—591no—
1672C4⋊C4—591no—
1673C4⋊C4—591no—
1674C4⋊C4—591no—
1675C4⋊C4—1181no—
1676C4⋊C4—1181no—
1677C4⋊C4—1181no—
1678C4⋊C4—1181no—
1679C4⋊C4—1181no—
1680C4⋊C4—1181no—
1681C4⋊C4C23×D5911yescharacteristic
1682C4⋊C4C23×D5911yescharacteristic
1683C4⋊C4C23×D5911yescharacteristic
1684C4⋊C4C23×D5911yescharacteristic
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—591no—
1695C22⋊C4—591no—
1696C22⋊C4—591no—
1697C22⋊C4—591no—
1698C22⋊C4—591no—
1699C22⋊C4—591no—
1700C22⋊C4—591no—
1701C22⋊C4—591no—
1702C22⋊C4—1181no—
1703C22⋊C4—1181no—
1704C22⋊C4—1181no—
1705C22⋊C4—1181no—
1706C22⋊C4—1181no—
1707C22⋊C4—1181no—
1708C22⋊C4—1181no—
1709C22⋊C4—1181no—
1710C22⋊C4—1181no—
1711C22⋊C4—1181no—
1712C22⋊C4—1181no—
1713C22⋊C4—1181no—
1714C22⋊C4—1181no—
1715C22⋊C4—1181no—
1716C22⋊C4—1181no—
1717C22⋊C4—1181no—
1718C22⋊C4—1181no—
1719C22⋊C4—1181no—
1720C22⋊C4—1181no—
1721C22⋊C4—1181no—
1722C22⋊C4—1181no—
1723C22⋊C4—1181no—
1724C22⋊C4—1181no—
1725C22⋊C4—1181no—
1726C22⋊C4—1181no—
1727C22⋊C4—1181no—
1728C22⋊C4—1181no—
1729C42—21no—
1730C42—591no—
1731C42—591no—
1732C42—591no—
1733C42—591no—
1734C42—1181no—
1735C42—1181no—
1736C42—1181no—
1737C23—21no—
1738C23—21no—
1739C23—21no—
1740C23—81no—
1741C23—81no—
1742C23—81no—
1743C23—591no—
1744C23—591no—
1745C23—1184no—
1746C23—1181no—
1747C23—1181no—
1748C23—1181no—
1749C23—1181no—
1750C23—1181no—
1751C23—4721no—
1752C23—4721no—
1753C23—4721no—
1754C23—4721no—
1755C23—4721no—
1756C23—4721no—
1757C23—4721no—
1758C23—4721no—
1759C23—4721no—
1760C23—4721no—
1761C23—4721no—
1762C23—4721no—
1763C23—4721no—
1764C23—4721no—
1765C23—4721no—
1766C23—4721no—
1767C23—4721no—
1768C23—4721no—
1769C23—4721no—
1770C23—2362no—
1771C23—2362no—
1772C23—2362no—
1773C23—2362no—
1774C23C2×D4×D5911yescharacteristic
1775C23C2×D4×D5911yescharacteristic
1776C23C2×D4×D5911yescharacteristic
1777Q8—21no—
1778Q8—21no—
1779Q8—41no—
1780Q8—1181no—
1781Q8—1181no—
1782Q8—4721no—
1783Q8—4721no—
1784Q8—2361no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—21no—
1790D4—21no—
1791D4—41no—
1792D4—41no—
1793D4—41no—
1794D4—42no—
1795D4—81no—
1796D4—81no—
1797D4—81no—
1798D4—81no—
1799D4—81no—
1800D4—81no—
1801D4—81no—
1802D4—592no—
1803D4—592no—
1804D4—1184no—
1805D4—1182no—
1806D4—1182no—
1807D4—1181no—
1808D4—1181no—
1809D4—1181no—
1810D4—1181no—
1811D4—1181no—
1812D4—1181no—
1813D4—1181no—
1814D4—1181no—
1815D4—4721no—
1816D4—4721no—
1817D4—4721no—
1818D4—4721no—
1819D4—4721no—
1820D4—4721no—
1821D4—4721no—
1822D4—4721no—
1823D4—4721no—
1824D4—4721no—
1825D4—4721no—
1826D4—4721no—
1827D4—4721no—
1828D4—4721no—
1829D4—4721no—
1830D4—4721no—
1831D4—2361no—
1832D4—2362no—
1833D4—2362no—
1834D4—2362no—
1835D4—2362no—
1836D4—2362no—
1837D4—2362no—
1838D4—2361no—
1839D4—2361no—
1840D4—2361no—
1841D4—2361no—
1842D4—2362no—
1843D4—2362no—
1844D4—2362no—
1845D4—2362no—
1846D4—2362no—
1847D4—2362no—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—42no—
1860C2×C4—81no—
1861C2×C4—591no—
1862C2×C4—591no—
1863C2×C4—591no—
1864C2×C4—591no—
1865C2×C4—591no—
1866C2×C4—591no—
1867C2×C4—1182no—
1868C2×C4—1181no—
1869C2×C4—1181no—
1870C2×C4—1181no—
1871C2×C4—1181no—
1872C2×C4—1181no—
1873C2×C4—1181no—
1874C2×C4—1181no—
1875C2×C4—4721no—
1876C2×C4—4721no—
1877C2×C4—2362no—
1878C2×C4—2362no—
1879C2×C4—2362no—
1880C2×C4—2362no—
1881C2×C4—2362no—
1882C2×C4—2362no—
1883C2×C4—2362no—
1884C2×C4—2362no—
1885C2×C4—2362no—
1886C2×C4—2362no—
1887C2×C4—2361no—
1888C2×C4—2362no—
1889C2×C4C2×D4×D5911yescharacteristic
1890C2×C4C2×D4×D5911yescharacteristic
1891C2×C4C2×D4×D5911yescharacteristic
1892C2×C4C24×D5911yescharacteristic
1893C8—21no—
1894C8—21no—
1895C8—21no—
1896C8—21no—
1897C8—1181no—
1898C8—1181no—
1899C8—1181no—
1900C8—1181no—
1901C22—21no—
1902C22—21no—
1903C22—21no—
1904C22—21no—
1905C22—21no—
1906C22—21no—
1907C22—21no—
1908C22—21no—
1909C22—21no—
1910C22—41no—
1911C22—41no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—162no—
1920C22—1181no—
1921C22—1181no—
1922C22—1182no—
1923C22—1182no—
1924C22—1181no—
1925C22—1181no—
1926C22—1181no—
1927C22—1181no—
1928C22—9442no—
1929C22—9442no—
1930C22—9442no—
1931C22—9442no—
1932C22—9442no—
1933C22—9442no—
1934C22—9442no—
1935C22—4724no—
1936C22—2361no—
1937C22—2361no—
1938C22—2361no—
1939C22—2361no—
1940C22—2361no—
1941C22—2361no—
1942C22—2361no—
1943C22—2361no—
1944C22—2361no—
1945C22—2361no—
1946C22—2361no—
1947C22—2361no—
1948C22—2361no—
1949C22C22×D4×D5911yescharacteristic
1950C4—21no—
1951C4—21no—
1952C4—21no—
1953C4—41no—
1954C4—41no—
1955C4—41no—
1956C4—41no—
1957C4—41no—
1958C4—592no—
1959C4—1181no—
1960C4—1181no—
1961C4—1181no—
1962C4—1181no—
1963C4—1181no—
1964C4—2361no—
1965C4—2361no—
1966C4—2361no—
1967C4H(5,𝔽2)×D5911yescharacteristic
1968C4H(5,𝔽2)×D5911yescharacteristic
1969C2—41no—
1970C2—41no—
1971C2—41no—
1972C2—81no—
1973C2—81no—
1974C2—81no—
1975C2—4721no—
1976C2—4721no—
1977C2—4721no—
1978C2—2361no—
1979C2—2361no—
1980C2—2362no—
1981C2—2362no—
1982C2#2143772811yescharacteristic
1983C2#576×D5911yescharacteristic
1984C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3198C2
socleC22×C59C23×D4
hypercenter#3198D59
hypocenterC59#61679
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3198

Complements

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

NH ≅ G/Ntype
1. #21438499C2semidirect
2. #21437859C2semidirect
3. #21436336C2semidirect
4. #21436333C2semidirect
5. #21436258C2semidirect
6. #21436255C2semidirect
7. #21436250C2semidirect
8. #21436247C2semidirect
9. #21436022C2semidirect
10. #21436019C2semidirect
11. #21435770C2semidirect
12. #21435766C2semidirect
13. #21435694C2semidirect
14. #21435693C2semidirect
15. #21435583C2semidirect
16. #21435580C2semidirect
17. #21435574C2semidirect
18. #21435573C2semidirect
19. #21435088C2semidirect
20. #21435027C2semidirect
21. #21434955C2semidirect
22. #21434953C2semidirect
23. #21434942C2semidirect
24. #21434184C2semidirect
25. #21434093C2semidirect
26. #21433366C2semidirect
27. #21433362C2semidirect
28. #21433361C2semidirect
29. #21433361C2semidirect
30. #21433169C2semidirect
31. C59×#3198C2semidirect
32. C2×#14273773C22semidirect
33. C2×#14273773C22semidirect
34. C2×#14273755C22semidirect
35. C2×#14273754C22semidirect
36. C2×#14273754C22semidirect
37. C2×#14273753C22semidirect
38. C22×D472C22semidirect
39. C22×#11745669C22semidirect
40. C2×D8×D59C22semidirect
41. C2×D8×D59C22semidirect
44. #16838116C22semidirect
45. #16838116C22semidirect
46. #16838115C22semidirect
47. #16838115C22semidirect
50. #16838054C22semidirect
51. #16838054C22semidirect
53. #16838049C22semidirect
54. #16838049C22semidirect
56. #16838043C22semidirect
57. #16838043C22semidirect
59. #16838036C22semidirect
60. #16838036C22semidirect
61. #16838036C22semidirect
62. #16838036C22semidirect
63. D4×C22⋊D59C22semidirect
64. D4×C22⋊D59C22semidirect
66. #16837983C22semidirect
67. #16837968C22semidirect
68. #16837968C22semidirect
71. #16837966C22semidirect
77. #16837948C22semidirect
78. #16837947C22semidirect
79. #16837947C22semidirect
82. C2×#14273689C22semidirect
83. #16837790C22semidirect
84. #16837788C22semidirect
85. #16837777C22semidirect
86. #16837773C22semidirect
87. #16837763C22semidirect
88. #16837760C22semidirect
89. #16837751C22semidirect
90. #16837747C22semidirect
91. #16837746C22semidirect
92. #16837745C22semidirect
93. #16837740C22semidirect
94. #16837729C22semidirect
95. #16837728C22semidirect
96. #16837723C22semidirect
97. #16837720C22semidirect
98. #16837715C22semidirect
99. #16837691C22semidirect
100. #16837691C22semidirect
101. #16837681C22semidirect
102. #16837681C22semidirect
103. #16837656C22semidirect
104. #16837654C22semidirect
105. #16837653C22semidirect
106. #16837650C22semidirect
107. #16837649C22semidirect
108. #16837647C22semidirect
109. #16837639C22semidirect
110. #16837637C22semidirect
111. #16837636C22semidirect
112. #16837633C22semidirect
113. #16837632C22semidirect
114. #16837630C22semidirect
115. #16837620C22semidirect
116. #16837619C22semidirect
117. #16837616C22semidirect
118. #16837615C22semidirect
119. #16837606C22semidirect
120. #16837605C22semidirect
121. #16837596C22semidirect
122. #16837596C22semidirect
123. #16837596C22semidirect
124. #16837596C22semidirect
125. #16837596C22semidirect
126. #16837595C22semidirect
127. #16837554C22semidirect
128. #16837554C22semidirect
129. #16837552C22semidirect
130. #16837550C22semidirect
131. #16837550C22semidirect
132. #16837549C22semidirect
133. #16837549C22semidirect
134. #16837549C22semidirect
135. #16837549C22semidirect
136. #16837547C22semidirect
137. #16837547C22semidirect
138. #16837546C22semidirect
139. #16837546C22semidirect
140. #16837545C22semidirect
141. #16837545C22semidirect
142. #16837545C22semidirect
143. #16837545C22semidirect
144. #16837538C22semidirect
145. #16837538C22semidirect
146. #16837538C22semidirect
147. #16837538C22semidirect
148. #16837537C22semidirect
149. #16837537C22semidirect
150. #16837537C22semidirect
151. #16837537C22semidirect
152. #16837535C22semidirect
153. #16837535C22semidirect
154. #16837535C22semidirect
155. #16837535C22semidirect
156. #16837535C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837513C22semidirect
160. #16837513C22semidirect
161. #16837511C22semidirect
162. #16837511C22semidirect
163. #16837484C22semidirect
164. #16837484C22semidirect
165. #16837482C22semidirect
166. #16837482C22semidirect
167. #16837478C22semidirect
168. #16837477C22semidirect
169. #16837476C22semidirect
170. #16837473C22semidirect
171. #16837471C22semidirect
172. #16837470C22semidirect
173. C8×C22⋊D59C22semidirect
174. (C22⋊D59)⋊C8C22semidirect
175. #16837456C22semidirect
176. #16837452C22semidirect
177. #16837408C22semidirect
178. #16837406C22semidirect
179. #16837405C22semidirect
180. #16837405C22semidirect
181. #16837399C22semidirect
182. #16837397C22semidirect
183. #16837397C22semidirect
184. #16837396C22semidirect
185. #16837369C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
188. C59×#537C22semidirect
189. C59×#535C22semidirect
190. C59×#485C22semidirect
191. C59×#482C22semidirect
192. C59×#481C22semidirect
193. C59×#480C22semidirect
194. C59×#469C22semidirect
195. C59×#468C22semidirect
196. C59×#466C22semidirect
197. C59×#465C22semidirect
198. C59×#450C22semidirect
199. C59×#449C22semidirect
200. C59×#449C22semidirect
201. C59×#447C22semidirect
202. C59×#408C22semidirect
1000. #3198D59semidirect
1059. #537C2×D59semidirect
1067. #535C2×D59semidirect
1088. #485C2×D59semidirect
1092. #482C2×D59semidirect
1094. #481C2×D59semidirect
1096. #480C2×D59semidirect
1104. #469C2×D59semidirect
1108. #468C2×D59semidirect
1112. #466C2×D59semidirect
1116. #465C2×D59semidirect
1132. #450C2×D59semidirect
1147. #449C2×D59semidirect
1148. #449C2×D59semidirect
1164. #447C2×D59semidirect
1194. #408C2×D59semidirect
1195. C59#61679semidirect

Maximal subgroups

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

subgroupindex
#214384992
#214378592
#214363362
#214363332
#214362582
#214362552
#214362502
#214362472
#214360222
#214360192
#214357702
#214357662
#214356942
#214356932
#214355832
#214355802
#214355742
#214355732
#214350882
#214350272
#214349552
#214349532
#214349422
#214341842
#214340932
#214333662
#214333622
#214333612
#214331692
C59×#31982
#6167959