Finite Group Databasebeta

← #29473982

Subgroups — #29473982

Order 15104.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437937C211yesmaximal, characteristic, complemented
2#21437579C211yesmaximal, characteristic, complemented
3#21436352C211yesmaximal, characteristic, complemented
4#21436300C211yesmaximal, characteristic, complemented
5#21436153C211yesmaximal, characteristic, complemented
6#21436123C211yesmaximal, characteristic, complemented
7#21436105C211yesmaximal, characteristic, complemented
8#21436075C211yesmaximal, characteristic, complemented
9#21435989C211yesmaximal, characteristic, complemented
10#21435937C211yesmaximal, characteristic, complemented
11#21435800C211yesmaximal, characteristic, complemented
12#21435778C211yesmaximal, characteristic, complemented
13#21435753C211yesmaximal, characteristic, complemented
14#21435730C211yesmaximal, characteristic, complemented
15#21435684C211yesmaximal, characteristic, complemented
16#21435654C211yesmaximal, characteristic, complemented
17#21435603C211yesmaximal, characteristic, complemented
18#21435573C211yesmaximal, characteristic, complemented
19#21435137C211yesmaximal, characteristic, complemented
20#21435075C211yesmaximal, characteristic, complemented
21#21434940C211yesmaximal, characteristic, complemented
22#21434906C211yesmaximal, characteristic, complemented
23#21434891C211yesmaximal, characteristic, complemented
24#21434208C211yesmaximal, characteristic, complemented
25#21434117C211yesmaximal, characteristic, complemented
26#21433354C211yesmaximal, characteristic, complemented
27#21433339C211yesmaximal, characteristic, complemented
28#21433317C211yesmaximal, characteristic, complemented
29C2×#16837549C211yesmaximal, characteristic, complemented
30#21433127C211yesmaximal, characteristic, complemented
31C59×#3190C211yesmaximal, characteristic, complemented
32C22×#11745685C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic, complemented
34C2×#14273759C2211yescharacteristic, complemented
35C2×#14273758C2211yescharacteristic, complemented
36C2×#14273758C2211yescharacteristic, complemented
37C2×#14273754C2211yescharacteristic, complemented
38C2×#14273750C2211yescharacteristic, complemented
39C2×#14273748C2211yescharacteristic, complemented
40C22×#11745660C2211yescharacteristic, complemented
41C22×D472C2211yescharacteristic, complemented
42#16838100—21no—
43#16838100—21no—
44#16838100C2211yescharacteristic, complemented
45#16838100C2211yescharacteristic, complemented
46#16838094C2211yescharacteristic
47#16838094C2211yescharacteristic, complemented
48#16838079—21no—
49#16838079—21no—
50#16838070C2211yescharacteristic, complemented
51#16838065C2211yescharacteristic
52#16838063C2211yescharacteristic, complemented
53#16838063C2211yescharacteristic, complemented
54#16838062C2211yescharacteristic, complemented
55#16838058C2211yescharacteristic
56#16838054C2211yescharacteristic, complemented
57#16838050—21no—
58#16838049C2211yescharacteristic, complemented
59#16838044—21no—
60#16838043C2211yescharacteristic
61#16838043C2211yescharacteristic
62#16838043C2211yescharacteristic, complemented
63#16838039—21no—
64#16838036C2211yescharacteristic
65#16838034—21no—
66#16838001—21no—
67#16837992—21no—
68#16837964—21no—
69#16837949—21no—
70#16837948C2211yescharacteristic, complemented
71#16837938C2211yescharacteristic, complemented
72#16837938C2211yescharacteristic, complemented
73#16837915C2211yescharacteristic, complemented
74#16837915C2211yescharacteristic, complemented
75#16837914C2211yescharacteristic, complemented
76#16837911—21no—
77#16837911—21no—
78C2×#14273701C2211yescharacteristic, complemented
79#16837875—21no—
80#16837870C2211yescharacteristic, complemented
81C2×C4×C22⋊D59C2211yescharacteristic
82C4×D4×D59—21no—
83#16837795C2211yescharacteristic, complemented
84#16837788C2211yescharacteristic, complemented
85#16837787C2211yescharacteristic, complemented
86#16837783C2211yescharacteristic, complemented
87#16837769C2211yescharacteristic, complemented
88#16837765C2211yescharacteristic, complemented
89#16837758C2211yescharacteristic, complemented
90#16837755C2211yescharacteristic, complemented
91#16837746C2211yescharacteristic, complemented
92#16837745C2211yescharacteristic, complemented
93#16837730C2211yescharacteristic, complemented
94#16837729C2211yescharacteristic, complemented
95#16837728C2211yescharacteristic, complemented
96#16837726C2211yescharacteristic, complemented
97#16837726C2211yescharacteristic, complemented
98#16837713C2211yescharacteristic, complemented
99#16837712C2211yescharacteristic, complemented
100#16837708C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837701C2211yescharacteristic, complemented
103#16837659C2211yescharacteristic, complemented
104#16837656C2211yescharacteristic, complemented
105#16837653C2211yescharacteristic, complemented
106#16837653C2211yescharacteristic, complemented
107#16837651C2211yescharacteristic, complemented
108#16837650C2211yescharacteristic, complemented
109#16837650C2211yescharacteristic, complemented
110#16837649C2211yescharacteristic, complemented
111#16837642C2211yescharacteristic, complemented
112#16837639C2211yescharacteristic, complemented
113#16837634C2211yescharacteristic, complemented
114#16837632C2211yescharacteristic, complemented
115#16837627C2211yescharacteristic, complemented
116#16837627C2211yescharacteristic, complemented
117#16837626C2211yescharacteristic, complemented
118#16837622C2211yescharacteristic, complemented
119#16837620C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic, complemented
121#16837620C2211yescharacteristic, complemented
122#16837616C2211yescharacteristic, complemented
123#16837610C2211yescharacteristic, complemented
124#16837606C2211yescharacteristic, complemented
125#16837600C2211yescharacteristic, complemented
126#16837596C2211yescharacteristic, complemented
127#16837567C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic, complemented
129#16837563C2211yescharacteristic, complemented
130#16837562C2211yescharacteristic, complemented
131#16837562C2211yescharacteristic, complemented
132#16837562C2211yescharacteristic, complemented
133#16837562C2211yescharacteristic, complemented
134#16837561C2211yescharacteristic, complemented
135#16837557C2211yescharacteristic, complemented
136#16837557C2211yescharacteristic, complemented
137#16837556C2211yescharacteristic, complemented
138#16837552C2211yescharacteristic, complemented
139#16837552C2211yescharacteristic, complemented
140#16837552C2211yescharacteristic, complemented
141#16837551C2211yescharacteristic, complemented
142#16837550C2211yescharacteristic, complemented
143#16837550C2211yescharacteristic, complemented
144#16837550C2211yescharacteristic, complemented
145#16837549C2211yescharacteristic
146#16837549C2211yescharacteristic
147#16837549C2211yescharacteristic, complemented
148#16837549C2211yescharacteristic, complemented
149#16837549C2211yescharacteristic, complemented
150#16837549C2211yescharacteristic, complemented
151#16837549C2211yescharacteristic, complemented
152#16837549C2211yescharacteristic, complemented
153#16837548C2211yescharacteristic, complemented
154#16837547C2211yescharacteristic, complemented
155#16837547C2211yescharacteristic, complemented
156#16837542C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic, complemented
158#16837535C2211yescharacteristic, complemented
159#16837513C2211yescharacteristic, complemented
160#16837506C2211yescharacteristic, complemented
161#16837505C2211yescharacteristic, complemented
162#16837501C2211yescharacteristic, complemented
163#16837494C2211yescharacteristic, complemented
164#16837489C2211yescharacteristic, complemented
165#16837487C2211yescharacteristic, complemented
166#16837484C2211yescharacteristic, complemented
167#16837477C2211yescharacteristic, complemented
168#16837477C2211yescharacteristic, complemented
169#16837476C2211yescharacteristic, complemented
170#16837476C2211yescharacteristic, complemented
171#16837473C2211yescharacteristic
172#16837473C2211yescharacteristic
173C8×C22⋊D59C2211yescharacteristic, complemented
174C8×C22⋊D59C2211yescharacteristic, complemented
175#16837456C2211yescharacteristic, complemented
176#16837452C2211yescharacteristic, complemented
177#16837409C2211yescharacteristic, complemented
178#16837405C2211yescharacteristic, complemented
179#16837401C2211yescharacteristic, complemented
180#16837401C2211yescharacteristic, complemented
181#16837397C2211yescharacteristic, complemented
182#16837395C2211yescharacteristic, complemented
183C2×#14273652C2211yescharacteristic, complemented
184C2×#14273649C2211yescharacteristic, complemented
185#16837366C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C59×#525C2211yescharacteristic
189C2×C22⋊Q8×C59C2211yescharacteristic, complemented
190C59×#485C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#483C2211yescharacteristic, complemented
193C59×#480C2211yescharacteristic, complemented
194C59×#467C2211yescharacteristic, complemented
195C59×#467C2211yescharacteristic, complemented
196C59×#465C2211yescharacteristic, complemented
197C59×#465C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#452C2211yescharacteristic, complemented
200C59×#451C2211yescharacteristic, complemented
201C59×#448C2211yescharacteristic, complemented
202C2×C22⋊C8×C59C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745689C2311yescharacteristic
205C2×#11745689C2311yescharacteristic
206C2×#11745685—21no—
207C2×#11745685—21no—
208C2×#11745685—21no—
209C2×#11745685—42no—
210C2×#11745685—42no—
211C2×#11745685C2311yescharacteristic
212C2×#11745685C2311yescharacteristic
213C2×#11745685C2311yescharacteristic
214C2×#11745685C2311yescharacteristic
215C2×#11745687—21no—
216C2×#11745687C2311yescharacteristic
217#41×D59—42no—
218#41×D59—42no—
219C22×Dic118C2311yescharacteristic
220C2×Q8×D59C2311yescharacteristic
221C22×D236C2311yescharacteristic
222C22×D236C2311yescharacteristic
223C22×C22⋊D59—21no—
224C22×C22⋊D59—21no—
225C22×C22⋊D59D411yescharacteristic
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59C2311yescharacteristic
229C22×C4×D59—21no—
230C22×C4×D59—21no—
231C22×C4×D59C2311yescharacteristic
232#14273759—42no—
233#14273758—42no—
234#14273758—42no—
235#14273754—42no—
236#14273750—42no—
237#14273748—42no—
238C2×#11745672C2311yescharacteristic
239C2×#11745672C2311yescharacteristic
240C2×#11745672C2311yescharacteristic
241C2×#11745672C2311yescharacteristic
242C2×#11745660—42no—
243C2×#11745660C2311yescharacteristic
244C2×#11745660C2311yescharacteristic
245C2×#11745660C2311yescharacteristic
246C2×#11745660C2311yescharacteristic
247C2×#11745671C2311yescharacteristic
248C2×#11745671C2311yescharacteristic
249C2×#11745671C2311yescharacteristic
250C2×#11745671C2311yescharacteristic
251C2×#11745671C2311yescharacteristic
252C2×#11745671C2311yescharacteristic
253C2×D472—42no—
254C2×D472C2311yescharacteristic
255C2×D472C2311yescharacteristic
256C2×D472C2311yescharacteristic
257C2×D472C2311yescharacteristic
258C2×#11745669C2311yescharacteristic
259C2×#11745669C2311yescharacteristic
260C2×#11745664C2311yescharacteristic
261C2×#11745664C2311yescharacteristic
262C2×#11745659C2311yescharacteristic
263C2×#11745659C2311yescharacteristic
264C2×C8×D59C2311yescharacteristic
265C2×C8×D59C2311yescharacteristic
266#14273726—21no—
267#14273725C2311yescharacteristic
268#14273723—21no—
269#14273723C2311yescharacteristic
270#14273722—21no—
271#14273722—21no—
272#14273722—21no—
273#14273722—21no—
274#14273722—21no—
275#14273722—21no—
276#14273718—21no—
277#14273718—21no—
278#14273718C2311yescharacteristic
279#14273718C2311yescharacteristic
280#14273716—21no—
281#14273716—21no—
282#14273716C2311yescharacteristic
283#14273716C2311yescharacteristic
284#14273716C2311yescharacteristic
285#14273714C2311yescharacteristic
286#14273713—21no—
287#14273713—21no—
288#14273712—21no—
289#14273712—21no—
290#14273712—21no—
291#14273712—21no—
292#14273712—21no—
293#14273712—21no—
294#14273712—21no—
295#14273712—21no—
296#14273711—21no—
297#14273711—21no—
298#14273711—21no—
299#14273711—21no—
300#14273711—21no—
301#14273709—21no—
302#14273709—21no—
303#14273707C2311yescharacteristic
304#14273707C2311yescharacteristic
305#14273705—21no—
306#14273705—21no—
307#14273704—21no—
308#14273704—21no—
309#14273703—21no—
310#14273703—21no—
311#14273703C2311yescharacteristic
312#14273703C2311yescharacteristic
313#14273702—21no—
314#14273702—21no—
315#14273702—21no—
316#14273702C2311yescharacteristic
317#14273702C2311yescharacteristic
318#14273702C2311yescharacteristic
319#14273702C2311yescharacteristic
320#14273701—21no—
321#14273701—21no—
322#14273701—21no—
323#14273701—21no—
324#14273701—21no—
325#14273701—21no—
326#14273701C2311yescharacteristic
327#14273701C2311yescharacteristic
328#14273701C2311yescharacteristic
329#14273701C2311yescharacteristic
330#14273700—21no—
331#14273700—21no—
332#14273700—21no—
333#14273700—21no—
334#14273699—21no—
335#14273699—21no—
336#14273699—21no—
337#14273699—21no—
338#14273698—21no—
339#14273697—21no—
340#14273697—21no—
341#14273697—21no—
342#14273697—21no—
343#14273697—21no—
344#14273697—21no—
345#14273697—21no—
346#14273695—21no—
347#14273695—21no—
348Q8×Dic59C2311yescharacteristic
349Q8×Dic59C2311yescharacteristic
350#14273692C2311yescharacteristic
351#14273692C2311yescharacteristic
352C4×D236—21no—
353C4×D236—21no—
354D4×Dic59—21no—
355#14273689—21no—
356#14273689—21no—
357#14273689—21no—
358#14273689C2311yescharacteristic
359#14273689C2311yescharacteristic
360#14273689C2311yescharacteristic
361#14273689C2311yescharacteristic
362C4×C22⋊D59—21no—
363C4×C22⋊D59—21no—
364C4×C22⋊D59—21no—
365C4×C22⋊D59—21no—
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59D411yescharacteristic
369C4×C22⋊D59D411yescharacteristic
370C4×C22⋊D59D411yescharacteristic
371C4×C22⋊D59D411yescharacteristic
372C4×C22⋊D59C2311yescharacteristic
373C4×C22⋊D59C2311yescharacteristic
374C4×C22⋊D59C2311yescharacteristic
375C4×C22⋊D59C2311yescharacteristic
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4—21no—
380(C22⋊D59)⋊C4—21no—
381(C22⋊D59)⋊C4—21no—
382(C22⋊D59)⋊C4—21no—
383(C22⋊D59)⋊C4—21no—
384#14273685—21no—
385#14273685—21no—
386#14273685C2311yescharacteristic
387#14273685C2311yescharacteristic
388#14273684—21no—
389#14273683—21no—
390#14273683—21no—
391C2×C4⋊Dic59C2311yescharacteristic
392C2×Dic59⋊C4D411yescharacteristic
393C4⋊C4×D59—21no—
394C2×C22⋊Dic59D411yescharacteristic
395C2×(C2×D59)⋊C4—21no—
396C2×(C2×D59)⋊C4D411yescharacteristic
397C22⋊C4×D59—21no—
398C22⋊C4×D59—21no—
399C22⋊C4×D59—21no—
400C22⋊C4×D59—21no—
401C2×C4×Dic59C2311yescharacteristic
402C42×D59—21no—
403#14273660C2311yescharacteristic
404#14273660C2311yescharacteristic
405#14273658C2311yescharacteristic
406#14273658C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
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
448C22×Q8×C59C2311yescharacteristic
449C23×C4×C59C2311yescharacteristic
450C2×Q16×C59C2311yescharacteristic
451C2×Q16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C22×C8×C59C2311yescharacteristic
455C22×C8×C59C2311yescharacteristic
456#123×C59—21no—
457C22⋊Q8×C59—21no—
458C22⋊Q8×C59—21no—
459C22⋊Q8×C59C2311yescharacteristic
460C22⋊Q8×C59C2311yescharacteristic
461C22⋊Q8×C59C2311yescharacteristic
462C22⋊Q8×C59C2311yescharacteristic
463C22⋊Q8×C59C2311yescharacteristic
464C22⋊Q8×C59C2311yescharacteristic
465#121×C59C2311yescharacteristic
466#121×C59C2311yescharacteristic
467#120×C59—21no—
468C4×D4×C59—21no—
469C4×D4×C59—21no—
470#117×C59C2311yescharacteristic
471C2×C4⋊C4×C59—21no—
472C2×C4⋊C4×C59C2311yescharacteristic
473C2×C22⋊C4×C59—21no—
474#107×C59C2311yescharacteristic
475#107×C59C2311yescharacteristic
476#106×C59C2311yescharacteristic
477#106×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C22⋊C8×C59C2311yescharacteristic
490C24×C59C2×D411yescharacteristic
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59C2×D411yescharacteristic
495#41×C59—41no—
496#41×C59—41no—
497C2×Q8×C59—21no—
498C2×Q8×C59—41no—
499C2×Q8×C59—41no—
500C2×Q8×C59C2411yescharacteristic
501C2×Q8×C59C2411yescharacteristic
502C2×Q8×C59C2411yescharacteristic
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59C2411yescharacteristic
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—41no—
511C22×C4×C59—41no—
512C22×C4×C59C2×D411yescharacteristic
513C22×C4×C59C2×D411yescharacteristic
514C22×C4×C59C2×D411yescharacteristic
515C22×C4×C59C2411yescharacteristic
516C22×C4×C59C2411yescharacteristic
517C22×C4×C59C2411yescharacteristic
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—42no—
531C2×C22⋊D59—44no—
532C2×C22⋊D59—44no—
533C2×C22⋊D59C2×D411yescharacteristic
534C2×C22⋊D59C2×D411yescharacteristic
535C2×C22⋊D59C2×D411yescharacteristic
536C2×C22⋊D59C2×D411yescharacteristic
537C22×Dic59—21no—
538C22×Dic59—21no—
539C22×Dic59—21no—
540C22×Dic59C2×D411yescharacteristic
541C22×Dic59C2×D411yescharacteristic
542C22×Dic59C2×D411yescharacteristic
543#11745689—22no—
544#11745689—41no—
545#11745689—41no—
546#11745689—41no—
547#11745689—41no—
548#11745689—41no—
549Q8×D59—22no—
550Q8×D59—41no—
551#11745687—22no—
552#11745687—41no—
553#11745687—44no—
554D4×D59—22no—
555D4×D59—41no—
556D4×D59—44no—
557D4×D59—44no—
558#11745685—22no—
559#11745685—22no—
560#11745685—22no—
561#11745685—22no—
562#11745685—41no—
563#11745685—41no—
564#11745685—41no—
565#11745685—41no—
566#11745685—44no—
567#11745685—44no—
568#11745685—44no—
569C2×D236—22no—
570C2×D236—21no—
571C2×D236—21no—
572C2×D236—21no—
573C2×D236—21no—
574C2×D236—21no—
575C2×D236—21no—
576C2×D236—21no—
577C2×D236—21no—
578C2×D236—21no—
579C2×D236—41no—
580C2×D236—41no—
581C2×D236—41no—
582C2×D236C2411yescharacteristic
583C2×D236C2411yescharacteristic
584C2×D236C2411yescharacteristic
585C2×D236C2411yescharacteristic
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59—21no—
595C2×C4×D59—21no—
596C2×C4×D59—21no—
597C2×C4×D59—21no—
598C2×C4×D59—41no—
599C2×C4×D59—41no—
600C2×C4×D59—44no—
601C2×C4×D59—44no—
602C2×C4×D59C2×D411yescharacteristic
603C2×C4×D59C2×D411yescharacteristic
604C2×C4×D59C2411yescharacteristic
605C2×C4×D59C2411yescharacteristic
606C2×Dic118—22no—
607C2×Dic118—21no—
608C2×Dic118—21no—
609C2×Dic118—41no—
610C2×Dic118C2411yescharacteristic
611C2×Dic118C2411yescharacteristic
612Q16×C59—41no—
613Q16×C59—41no—
614SD16×C59—41no—
615SD16×C59—41no—
616C2×C8×C59—41no—
617C2×C8×C59—41no—
618C2×C8×C59C2411yescharacteristic
619C2×C8×C59C2411yescharacteristic
620C2×C8×C59C2411yescharacteristic
621C2×C8×C59C2411yescharacteristic
622C4⋊C4×C59—21no—
623C4⋊C4×C59—21no—
624C4⋊C4×C59—21no—
625C4⋊C4×C59—21no—
626C4⋊C4×C59—21no—
627C4⋊C4×C59—21no—
628C4⋊C4×C59—21no—
629C4⋊C4×C59C2411yescharacteristic
630C4⋊C4×C59C2411yescharacteristic
631C4⋊C4×C59C2411yescharacteristic
632C4⋊C4×C59C2411yescharacteristic
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C22⋊C4×C59—21no—
638C22⋊C4×C59—21no—
639C22⋊C4×C59—21no—
640C22⋊C4×C59—21no—
641C22⋊C4×C59—21no—
642C42×C59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59C2×D411yescharacteristic
646C22⋊Dic59C2×D411yescharacteristic
647C22⋊Dic59C2×D411yescharacteristic
648C22⋊Dic59C2×D411yescharacteristic
649#11745672—22no—
650#11745672—22no—
651#11745672—41no—
652#11745672—41no—
653#11745671—22no—
654#11745671—22no—
655#11745671—41no—
656#11745671—41no—
657#11745671—41no—
658#11745671—41no—
659#11745669—41no—
660#11745669—41no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊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)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4C2×D411yescharacteristic
686(C2×D59)⋊C4C2×D411yescharacteristic
687(C2×D59)⋊C4C2×D411yescharacteristic
688(C2×D59)⋊C4C2×D411yescharacteristic
689C4⋊Dic59—21no—
690C4⋊Dic59—21no—
691C4⋊Dic59—21no—
692C4⋊Dic59—21no—
693C4⋊Dic59—21no—
694C4⋊Dic59—21no—
695C4⋊Dic59—21no—
696C4⋊Dic59C2411yescharacteristic
697C4⋊Dic59C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
707Dic59⋊C4C2×D411yescharacteristic
708Dic59⋊C4C2×D411yescharacteristic
709Dic59⋊C4C2×D411yescharacteristic
710C4×Dic59—21no—
711C4×Dic59—21no—
712C4×Dic59—21no—
713C4×Dic59—21no—
714C4×Dic59—21no—
715C4×Dic59—21no—
716C4×Dic59C2×D411yescharacteristic
717C4×Dic59C2×D411yescharacteristic
718C4×Dic59C2411yescharacteristic
719C4×Dic59C2411yescharacteristic
720#11745664—41no—
721#11745664—41no—
722C2×C59⋊C8C2411yescharacteristic
723C2×C59⋊C8C2411yescharacteristic
724C2×C59⋊C8C2411yescharacteristic
725C2×C59⋊C8C2411yescharacteristic
726D472—22no—
727D472—22no—
728D472—41no—
729D472—41no—
730#11745660—22no—
731#11745660—22no—
732#11745660—41no—
733#11745660—41no—
734#11745659—41no—
735#11745659—41no—
736C8×D59—41no—
737C8×D59—41no—
738C23×C59—22no—
739C23×C59—21no—
740C23×C59—41no—
741C23×C59—41no—
742C23×C59C22×D411yescharacteristic
743C23×C59C22×D411yescharacteristic
744C23×C59C22×D411yescharacteristic
745C22×D59—21no—
746C22×D59—21no—
747C22×D59—21no—
748C22×D59—21no—
749C22×D59—41no—
750C22×D59—41no—
751C22×D59—41no—
752C22×D59—42no—
753C22×D59—42no—
754C22×D59—42no—
755C22×D59—42no—
756C22×D59—42no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59—81no—
761C22×D59C22×D411yescharacteristic
762C22×D59C22×D411yescharacteristic
763Q8×C59—21no—
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—21no—
767Q8×C59—21no—
768Q8×C59—21no—
769Q8×C59—81no—
770D4×C59—21no—
771D4×C59—21no—
772D4×C59—42no—
773D4×C59—42no—
774D4×C59—81no—
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—21no—
784C2×C4×C59—21no—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—41no—
789C2×C4×C59—41no—
790C2×C4×C59—41no—
791C2×C4×C59—42no—
792C2×C4×C59—81no—
793C2×C4×C59—81no—
794C2×C4×C59C22×D411yescharacteristic
795C2×C4×C59C22×D411yescharacteristic
796C2×C4×C59C22×D411yescharacteristic
797C2×C4×C59C2511yescharacteristic
798C22⋊D59—24no—
799C22⋊D59—22no—
800C22⋊D59—22no—
801C22⋊D59—41no—
802C22⋊D59—41no—
803C22⋊D59—42no—
804C22⋊D59—42no—
805C22⋊D59—42no—
806C22⋊D59—42no—
807C22⋊D59—42no—
808C22⋊D59—42no—
809C22⋊D59—42no—
810C22⋊D59—42no—
811C22⋊D59—42no—
812C22⋊D59—42no—
813C22⋊D59—81no—
814C2×Dic59—21no—
815C2×Dic59—21no—
816C2×Dic59—21no—
817C2×Dic59—21no—
818C2×Dic59—41no—
819C2×Dic59—41no—
820C2×Dic59—41no—
821C2×Dic59—42no—
822C2×Dic59—42no—
823C2×Dic59—42no—
824C2×Dic59C22×D411yescharacteristic
825C2×Dic59C22×D411yescharacteristic
826C2×Dic59C22×D411yescharacteristic
827C2×Dic59C22×D411yescharacteristic
828C2×Dic59C22×D411yescharacteristic
829C2×Dic59C22×D411yescharacteristic
830D236—21no—
831D236—21no—
832D236—21no—
833D236—21no—
834D236—21no—
835D236—21no—
836D236—21no—
837D236—42no—
838D236—42no—
839D236—42no—
840D236—81no—
841D236—81no—
842D236—81no—
843D236—81no—
844D236—81no—
845D236—81no—
846D236H(5,𝔽2)12yes—
847C4×D59—24no—
848C4×D59—21no—
849C4×D59—21no—
850C4×D59—21no—
851C4×D59—21no—
852C4×D59—41no—
853C4×D59—41no—
854C4×D59—42no—
855C4×D59—42no—
856C4×D59—42no—
857C4×D59—42no—
858C4×D59—42no—
859C4×D59—42no—
860C4×D59—81no—
861C4×D59—81no—
862C4×D59—81no—
863C4×D59—81no—
864C4×D59—81no—
865Dic118—21no—
866Dic118—21no—
867Dic118—21no—
868Dic118—42no—
869Dic118—42no—
870Dic118H(5,𝔽2)12yes—
871C8×C59—21no—
872C8×C59—21no—
873C8×C59—21no—
874C8×C59—21no—
875C59⋊C8—21no—
876C59⋊C8—21no—
877C59⋊C8—21no—
878C59⋊C8—21no—
879#61597—591nomaximal, Sylow
880C22×C59—21no—
881C22×C59—21no—
882C22×C59—21no—
883C22×C59—21no—
884C22×C59—21no—
885C22×C59—21no—
886C22×C59—21no—
887C22×C59—21no—
888C22×C59—41no—
889C22×C59—41no—
890C22×C59—41no—
891C22×C59—82no—
892C22×C59#57512yes—
893C22×C59C23×D411yescharacteristic
894C2×D59—21no—
895C2×D59—21no—
896C2×D59—21no—
897C2×D59—22no—
898C2×D59—21no—
899C2×D59—21no—
900C2×D59—21no—
901C2×D59—41no—
902C2×D59—41no—
903C2×D59—41no—
904C2×D59—41no—
905C2×D59—41no—
906C2×D59—41no—
907C2×D59—41no—
908C2×D59—41no—
909C2×D59—41no—
910C2×D59—41no—
911C2×D59—41no—
912C2×D59—82no—
913C2×D59—84no—
914C2×D59—84no—
915C2×D59—162no—
916C4×C59—21no—
917C4×C59—21no—
918C4×C59—21no—
919C4×C59—41no—
920C4×C59—41no—
921C4×C59—41no—
922C4×C59—41no—
923C4×C59—41no—
924C4×C59—41no—
925C4×C59—41no—
926C4×C59C2×H(5,𝔽2)11yescharacteristic
927C4×C59C2×H(5,𝔽2)11yescharacteristic
928Dic59—21no—
929Dic59—21no—
930Dic59—22no—
931Dic59—21no—
932Dic59—21no—
933Dic59—21no—
934Dic59—21no—
935Dic59—41no—
936Dic59—41no—
937Dic59—41no—
938#3505—591no—
939D4×#41—591no—
940#3326—591no—
941#3322—591no—
942#3312—591no—
943#3310—591no—
944#3309—591no—
945#3307—591no—
946#3300—591no—
947#3296—591no—
948#3282—591no—
949#3280—591no—
950#3277—591no—
951#3275—591no—
952#3271—591no—
953#3269—591no—
954#3266—591no—
955#3264—591no—
956#3219—591no—
957#3212—591no—
958#3197—591no—
959#3194—591no—
960#3191—591no—
961#3190D5911yescharacteristic, complemented
962#3111—591no—
963#3102—591no—
964#3007—591no—
965#3005—591no—
966#3002—591no—
967C2×#449—591no—
968#2974—591no—
969C2×C59—22no—
970C2×C59—41no—
971C2×C59—41no—
972C2×C59—81no—
973C2×C59#348411yescharacteristic
974C2×C59C2×#57511yescharacteristic
975C2×C59#358411yescharacteristic
976D59—41no—
977D59—41no—
978D59—42no—
979D59—81no—
980D59—81no—
981D59—81no—
982C22×#41—591no—
983C22×#41—591no—
984C2×#137—591no—
985C2×#137—591no—
986C2×#137—591no—
987C2×AGL(1,ℤ/8)—591no—
988C2×#135—591no—
989C2×#135—591no—
990C22×SD16—591no—
991C22×D8—591no—
992#553—591no—
993#553—591no—
994#553—1181no—
995#553—1181no—
996#552—591no—
997#552—591no—
998#551—1181no—
999#551—1181no—
1000#550—591no—
1001D4×Q8—591no—
1002#548—591no—
1003#548—591no—
1004#548—591no—
1005#548—591no—
1006#547—591no—
1007#547—1181no—
1008#546—591no—
1009#546—591no—
1010#546—591no—
1011#546—591no—
1012#546—1181no—
1013#546—1181no—
1014D42—591no—
1015D42—1181no—
1016#539—1181no—
1017#538—1181no—
1018#534—1181no—
1019#532—591no—
1020#532—1181no—
1021#529—591no—
1022#529—591no—
1023#525—591no—
1024#525—591no—
1025#525—591no—
1026#525—1181no—
1027#525—1181no—
1028#525C2×D5911yescharacteristic
1029C2×C22⋊Q8C2×D5911yescharacteristic, complemented
1030C2×#121—591no—
1031#518—1181no—
1032C4×#41—591no—
1033C2×C4×D4—591no—
1034C2×C4×D4—1181no—
1035#497—591no—
1036#496—591no—
1037#495—591no—
1038#495—591no—
1039#491—591no—
1040#490—591no—
1041#488—591no—
1042#488—591no—
1043#485—591no—
1044#485—591no—
1045#485C2×D5911yescharacteristic, complemented
1046#485C2×D5911yescharacteristic, complemented
1047#483—591no—
1048#483C2×D5911yescharacteristic, complemented
1049#482—591no—
1050#482—591no—
1051#482—591no—
1052#482—591no—
1053#480—591no—
1054#480C2×D5911yescharacteristic, complemented
1055#479—591no—
1056#479—591no—
1057#478—591no—
1058#478—591no—
1059#470—591no—
1060#469—591no—
1061#469—591no—
1062#469—591no—
1063#468—591no—
1064#468—591no—
1065#468—591no—
1066#468—591no—
1067#467—591no—
1068#467C2×D5911yescharacteristic, complemented
1069#467C2×D5911yescharacteristic, complemented
1070#466—591no—
1071#465—591no—
1072#465—591no—
1073#465C2×D5911yescharacteristic, complemented
1074#465C2×D5911yescharacteristic, complemented
1075#464—591no—
1076#464—591no—
1077#464—591no—
1078#464—591no—
1079#463—591no—
1080#463—591no—
1081#463—591no—
1082#463—591no—
1083#462—591no—
1084#461—591no—
1085#460—591no—
1086#459—591no—
1087#452—591no—
1088#452—591no—
1089#452—591no—
1090#452—591no—
1091#452—591no—
1092#452—591no—
1093#452—591no—
1094#452—591no—
1095#452C2×D5911yescharacteristic, complemented
1096#452C2×D5911yescharacteristic, complemented
1097#451—591no—
1098#451—591no—
1099#451—591no—
1100#451C2×D5911yescharacteristic, complemented
1101#450—591no—
1102#450—591no—
1103#450—591no—
1104#450—591no—
1105#449—591no—
1106#449—591no—
1107#449—591no—
1108#449—591no—
1109#449—591no—
1110#449—591no—
1111#449—591no—
1112#449—591no—
1113#449—591no—
1114#449—591no—
1115#449—591no—
1116#449—591no—
1117#449—591no—
1118#449—591no—
1119#448—591no—
1120#448C2×D5911yescharacteristic, complemented
1121#447—591no—
1122#447—591no—
1123#442—591no—
1124#441—591no—
1125#440—591no—
1126#440—591no—
1127C4×Q16—591no—
1128C4×SD16—591no—
1129C4×SD16—591no—
1130C4×D8—591no—
1131#436—591no—
1132#436—591no—
1133#435—591no—
1134#435—591no—
1135#435—591no—
1136#435—591no—
1137C8×D4—591no—
1138C8×D4—591no—
1139#432—591no—
1140#431—591no—
1141#419—591no—
1142#418—591no—
1143#417—591no—
1144#417—591no—
1145#416—591no—
1146#416—591no—
1147C2×#103—591no—
1148C2×#102—591no—
1149#407—591no—
1150#407—591no—
1151C2×C22⋊C8—591no—
1152C2×C22⋊C8C2×D5911yescharacteristic, complemented
1153C59#6159711yescharacteristic, complemented, Sylow
1154C2×#41—591no—
1155C2×#41—591no—
1156C2×#41—591no—
1157C2×#41—591no—
1158C2×#41—591no—
1159C2×#41—591no—
1160C2×#41—591no—
1161C2×#41—591no—
1162C2×#41—1181no—
1163C2×#41—1181no—
1164C2×#41—1181no—
1165C2×#41—1181no—
1166C2×#41—2362no—
1167C2×#41—2362no—
1168C2×#41—2362no—
1169C2×#41—2362no—
1170C2×#41C22×D5911yescharacteristic
1171C22×Q8—591no—
1172C22×Q8—591no—
1173C22×Q8C22×D5911yescharacteristic
1174C22×D4—591no—
1175C22×D4—591no—
1176C22×D4—591no—
1177C22×D4—591no—
1178C22×D4—1181no—
1179C22×D4—1181no—
1180C22×D4—1181no—
1181C22×D4—1181no—
1182C23×C4—591no—
1183C23×C4—1181no—
1184C23×C4—1181no—
1185C23×C4C22×D5911yescharacteristic
1186#137—2362no—
1187#137—2362no—
1188#137—2362no—
1189AGL(1,ℤ/8)—2362no—
1190#135—2362no—
1191#135—2362no—
1192C2×Q16—591no—
1193C2×Q16—591no—
1194C2×Q16—591no—
1195C2×Q16—591no—
1196C2×Q16C22×D5911yescharacteristic
1197C2×Q16C22×D5911yescharacteristic
1198C2×SD16—591no—
1199C2×SD16—591no—
1200C2×SD16—591no—
1201C2×SD16—591no—
1202C2×SD16—591no—
1203C2×SD16—591no—
1204C2×SD16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16—2362no—
1209C2×SD16C22×D5911yescharacteristic
1210C2×SD16C22×D5911yescharacteristic
1211C2×D8—591no—
1212C2×D8—591no—
1213C2×D8—591no—
1214C2×D8—591no—
1215C2×D8—591no—
1216C2×D8—591no—
1217C2×D8—2362no—
1218C2×M16—591no—
1219C2×M16—591no—
1220C2×M16—591no—
1221C2×M16—591no—
1222C22×C8—591no—
1223C22×C8—591no—
1224C22×C8C22×D5911yescharacteristic
1225C22×C8C22×D5911yescharacteristic
1226C4⋊Q8—591no—
1227C4⋊Q8—1181no—
1228#127—591no—
1229#127—1181no—
1230#126—1181no—
1231#126—1181no—
1232#126—1181no—
1233#126—1181no—
1234#126—1181no—
1235#126—1181no—
1236#125—591no—
1237#125—591no—
1238#125—1181no—
1239#125—1181no—
1240#124—591no—
1241#124—591no—
1242#124—591no—
1243#124—591no—
1244#124—1181no—
1245#124—1181no—
1246#124—1181no—
1247#124—1181no—
1248#123—21no—
1249#123—1181no—
1250#123—1181no—
1251#123—1181no—
1252#123—1181no—
1253#123—1181no—
1254#123—1181no—
1255#123—1181no—
1256#123—1181no—
1257#123—1181no—
1258#123—1181no—
1259#123—1181no—
1260#123—1181no—
1261#123—1181no—
1262#123—1181no—
1263#123—1181no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
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⋊Q8C22×D5911yescharacteristic
1277C22⋊Q8C22×D5911yescharacteristic
1278C22⋊Q8C22×D5911yescharacteristic
1279C22⋊Q8C22×D5911yescharacteristic
1280C22⋊Q8C22×D5911yescharacteristic
1281C22⋊Q8C22×D5911yescharacteristic
1282#121—591no—
1283#121—591no—
1284#121—591no—
1285#121—591no—
1286#121—591no—
1287#121—591no—
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#121—1181no—
1300#121—1181no—
1301#121—1181no—
1302#121—1181no—
1303#121—1181no—
1304#121—1181no—
1305#121—1181no—
1306#121—1181no—
1307#121—1181no—
1308#121C22×D5911yescharacteristic
1309#121C22×D5911yescharacteristic
1310#120—21no—
1311#120—1181no—
1312#120—1181no—
1313#120—1181no—
1314#120—1181no—
1315#120—1181no—
1316#120—1181no—
1317#120—1181no—
1318#120—1181no—
1319#120—1181no—
1320C4×Q8—591no—
1321C4×Q8—591no—
1322C4×Q8—591no—
1323C4×Q8—591no—
1324C4×D4—21no—
1325C4×D4—21no—
1326C4×D4—591no—
1327C4×D4—591no—
1328C4×D4—591no—
1329C4×D4—591no—
1330C4×D4—591no—
1331C4×D4—591no—
1332C4×D4—591no—
1333C4×D4—591no—
1334C4×D4—591no—
1335C4×D4—591no—
1336C4×D4—591no—
1337C4×D4—591no—
1338C4×D4—1181no—
1339C4×D4—1181no—
1340C4×D4—1181no—
1341C4×D4—1181no—
1342C4×D4—1181no—
1343C4×D4—1181no—
1344C4×D4—1181no—
1345C4×D4—1181no—
1346C4×D4—1181no—
1347C4×D4—1181no—
1348C4×D4—1181no—
1349C4×D4—1181no—
1350C4×D4—1181no—
1351C4×D4—1181no—
1352C4×D4—1181no—
1353C4×D4—1181no—
1354C4×D4—1181no—
1355C4×D4—1181no—
1356C4×D4—1181no—
1357C4×D4—1181no—
1358#117—591no—
1359#117—591no—
1360#117—1181no—
1361#117—1181no—
1362#117—1181no—
1363#117—1181no—
1364#117—1181no—
1365#117C22×D5911yescharacteristic
1366C2×C4⋊C4—21no—
1367C2×C4⋊C4—591no—
1368C2×C4⋊C4—591no—
1369C2×C4⋊C4—1181no—
1370C2×C4⋊C4C22×D5911yescharacteristic
1371C2×C22⋊C4—21no—
1372C2×C22⋊C4—591no—
1373C2×C22⋊C4—591no—
1374C2×C22⋊C4—1181no—
1375C2×C22⋊C4—1181no—
1376C2×C22⋊C4—1181no—
1377C2×C22⋊C4—1181no—
1378C2×C22⋊C4—1181no—
1379C2×C42—591no—
1380C2×C42—1181no—
1381#107—591no—
1382#107—591no—
1383#107C22×D5911yescharacteristic
1384#107C22×D5911yescharacteristic
1385#106—591no—
1386#106—591no—
1387#106C22×D5911yescharacteristic
1388#106C22×D5911yescharacteristic
1389C4⋊C8—591no—
1390C4⋊C8—591no—
1391C4⋊C8—591no—
1392C4⋊C8—591no—
1393#103—591no—
1394#103—591no—
1395#103—591no—
1396#103—591no—
1397#103—591no—
1398#103—591no—
1399#103—591no—
1400#103—591no—
1401#103—591no—
1402#103—591no—
1403#103C22×D5911yescharacteristic
1404#103C22×D5911yescharacteristic
1405#103C22×D5911yescharacteristic
1406#103C22×D5911yescharacteristic
1407#103C22×D5911yescharacteristic
1408#103C22×D5911yescharacteristic
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102—591no—
1413#102—591no—
1414#102—591no—
1415#102—591no—
1416#102—591no—
1417#102—591no—
1418#102—591no—
1419#102—591no—
1420#102—591no—
1421#102—591no—
1422#102—591no—
1423#102C22×D5911yescharacteristic
1424#102C22×D5911yescharacteristic
1425C22⋊C8—591no—
1426C22⋊C8—591no—
1427C22⋊C8—591no—
1428C22⋊C8—591no—
1429C22⋊C8—591no—
1430C22⋊C8—591no—
1431C22⋊C8—591no—
1432C22⋊C8—591no—
1433C22⋊C8C22×D5911yescharacteristic
1434C22⋊C8C22×D5911yescharacteristic
1435C22⋊C8C22×D5911yescharacteristic
1436C22⋊C8C22×D5911yescharacteristic
1437#97—591no—
1438#97—591no—
1439C4×C8—591no—
1440C4×C8—591no—
1441C24—591no—
1442C24—1181no—
1443C24—1181no—
1444C24—1181no—
1445C24D4×D5911yescharacteristic
1446#41—41no—
1447#41—41no—
1448#41—1182no—
1449#41—1182no—
1450#41—1182no—
1451#41—1182no—
1452#41—1182no—
1453#41—1182no—
1454#41—2361no—
1455#41—2361no—
1456#41—2361no—
1457#41—2361no—
1458#41—2364no—
1459#41—2364no—
1460#41—2364no—
1461#41—2361no—
1462#41—2361no—
1463#41—2361no—
1464#41—2361no—
1465#41—2361no—
1466#41—2361no—
1467#41—2364no—
1468C2×Q8—21no—
1469C2×Q8—41no—
1470C2×Q8—41no—
1471C2×Q8—591no—
1472C2×Q8—591no—
1473C2×Q8—1181no—
1474C2×Q8—1182no—
1475C2×Q8—1181no—
1476C2×Q8—1182no—
1477C2×Q8—2361no—
1478C2×Q8—2361no—
1479C2×Q8C23×D5911yescharacteristic
1480C2×Q8C23×D5911yescharacteristic
1481C2×Q8C23×D5911yescharacteristic
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—591no—
1486C2×D4—591no—
1487C2×D4—591no—
1488C2×D4—591no—
1489C2×D4—591no—
1490C2×D4—591no—
1491C2×D4—591no—
1492C2×D4—591no—
1493C2×D4—1182no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—1181no—
1500C2×D4—1181no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1182no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—1181no—
1512C2×D4—1181no—
1513C2×D4—1181no—
1514C2×D4—1181no—
1515C2×D4—1181no—
1516C2×D4—2361no—
1517C2×D4—2361no—
1518C2×D4—2361no—
1519C2×D4—2361no—
1520C2×D4—2364no—
1521C2×D4—2364no—
1522C2×D4—2362no—
1523C2×D4—2364no—
1524C2×D4—2364no—
1525C2×D4C23×D5911yescharacteristic
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—41no—
1530C22×C4—41no—
1531C22×C4—591no—
1532C22×C4—591no—
1533C22×C4—591no—
1534C22×C4—591no—
1535C22×C4—591no—
1536C22×C4—591no—
1537C22×C4—591no—
1538C22×C4—1181no—
1539C22×C4—1181no—
1540C22×C4—1181no—
1541C22×C4—1181no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4—1181no—
1545C22×C4—1181no—
1546C22×C4—1181no—
1547C22×C4—1181no—
1548C22×C4—1181no—
1549C22×C4—1181no—
1550C22×C4—1181no—
1551C22×C4—1181no—
1552C22×C4—1181no—
1553C22×C4—2361no—
1554C22×C4—2361no—
1555C22×C4—2364no—
1556C22×C4—2364no—
1557C22×C4D4×D5911yescharacteristic
1558C22×C4D4×D5911yescharacteristic
1559C22×C4D4×D5911yescharacteristic
1560C22×C4C23×D5911yescharacteristic
1561C22×C4C23×D5911yescharacteristic
1562C22×C4C23×D5911yescharacteristic
1563Q16—41no—
1564Q16—41no—
1565Q16—1182no—
1566Q16—1182no—
1567Q16—2361no—
1568Q16—2361no—
1569SD16—41no—
1570SD16—41no—
1571SD16—1182no—
1572SD16—1182no—
1573SD16—1182no—
1574SD16—1182no—
1575SD16—2361no—
1576SD16—2361no—
1577SD16—2361no—
1578SD16—2361no—
1579SD16—2361no—
1580SD16—2361no—
1581D8—1182no—
1582D8—1182no—
1583D8—2361no—
1584D8—2361no—
1585D8—2361no—
1586D8—2361no—
1587M16—2361no—
1588M16—2361no—
1589M16—2361no—
1590M16—2361no—
1591C2×C8—41no—
1592C2×C8—41no—
1593C2×C8—591no—
1594C2×C8—591no—
1595C2×C8—591no—
1596C2×C8—591no—
1597C2×C8—2361no—
1598C2×C8—2361no—
1599C2×C8C23×D5911yescharacteristic
1600C2×C8C23×D5911yescharacteristic
1601C2×C8C23×D5911yescharacteristic
1602C2×C8C23×D5911yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—591no—
1611C4⋊C4—591no—
1612C4⋊C4—591no—
1613C4⋊C4—591no—
1614C4⋊C4—591no—
1615C4⋊C4—591no—
1616C4⋊C4—1181no—
1617C4⋊C4—1181no—
1618C4⋊C4—1181no—
1619C4⋊C4—1181no—
1620C4⋊C4—1181no—
1621C4⋊C4—1181no—
1622C4⋊C4—1181no—
1623C4⋊C4—1181no—
1624C4⋊C4—1181no—
1625C4⋊C4—1181no—
1626C4⋊C4—1181no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4—1181no—
1630C4⋊C4—1181no—
1631C4⋊C4C23×D5911yescharacteristic
1632C4⋊C4C23×D5911yescharacteristic
1633C4⋊C4C23×D5911yescharacteristic
1634C4⋊C4C23×D5911yescharacteristic
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—591no—
1645C22⋊C4—591no—
1646C22⋊C4—591no—
1647C22⋊C4—591no—
1648C22⋊C4—591no—
1649C22⋊C4—591no—
1650C22⋊C4—591no—
1651C22⋊C4—591no—
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⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4—1181no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C42—21no—
1679C42—591no—
1680C42—591no—
1681C42—591no—
1682C42—591no—
1683C42—1181no—
1684C42—1181no—
1685C42—1181no—
1686C42—1181no—
1687C42—1181no—
1688C42—1181no—
1689C23—22no—
1690C23—21no—
1691C23—41no—
1692C23—41no—
1693C23—591no—
1694C23—591no—
1695C23—1181no—
1696C23—1181no—
1697C23—1181no—
1698C23—1181no—
1699C23—4721no—
1700C23—4721no—
1701C23—4721no—
1702C23—4721no—
1703C23—2361no—
1704C23—2361no—
1705C23—2361no—
1706C23—2362no—
1707C23—2362no—
1708C23—2362no—
1709C23—2362no—
1710C23—2362no—
1711C23C2×D4×D5911yescharacteristic
1712C23C2×D4×D5911yescharacteristic
1713C23C2×D4×D5911yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—81no—
1721Q8—592no—
1722Q8—1181no—
1723Q8—1181no—
1724Q8—1181no—
1725Q8—2362no—
1726Q8—2362no—
1727D4—21no—
1728D4—21no—
1729D4—42no—
1730D4—42no—
1731D4—81no—
1732D4—592no—
1733D4—1184no—
1734D4—1182no—
1735D4—1182no—
1736D4—1181no—
1737D4—1181no—
1738D4—1181no—
1739D4—1181no—
1740D4—1181no—
1741D4—1181no—
1742D4—1181no—
1743D4—4721no—
1744D4—4721no—
1745D4—4721no—
1746D4—4721no—
1747D4—4721no—
1748D4—4721no—
1749D4—4721no—
1750D4—2362no—
1751D4—2362no—
1752D4—2362no—
1753D4—2361no—
1754D4—2361no—
1755D4—2362no—
1756D4—2362no—
1757D4—2362no—
1758D4—2362no—
1759D4—2362no—
1760D4—2362no—
1761D4—2362no—
1762D4—2362no—
1763D4—2362no—
1764D4—2362no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—41no—
1781C2×C4—42no—
1782C2×C4—81no—
1783C2×C4—81no—
1784C2×C4—591no—
1785C2×C4—591no—
1786C2×C4—591no—
1787C2×C4—591no—
1788C2×C4—591no—
1789C2×C4—591no—
1790C2×C4—1184no—
1791C2×C4—1181no—
1792C2×C4—1181no—
1793C2×C4—1181no—
1794C2×C4—1181no—
1795C2×C4—1181no—
1796C2×C4—1181no—
1797C2×C4—1181no—
1798C2×C4—1181no—
1799C2×C4—4721no—
1800C2×C4—4721no—
1801C2×C4—4721no—
1802C2×C4—4721no—
1803C2×C4—4721no—
1804C2×C4—2361no—
1805C2×C4—2361no—
1806C2×C4—2362no—
1807C2×C4—2362no—
1808C2×C4—2362no—
1809C2×C4—2362no—
1810C2×C4—2362no—
1811C2×C4—2362no—
1812C2×C4—2361no—
1813C2×C4—2361no—
1814C2×C4—2361no—
1815C2×C4—2362no—
1816C2×C4—2362no—
1817C2×C4—2362no—
1818C2×C4C2×D4×D5911yescharacteristic
1819C2×C4C2×D4×D5911yescharacteristic
1820C2×C4C2×D4×D5911yescharacteristic
1821C2×C4C24×D5911yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1181no—
1827C8—1181no—
1828C8—1181no—
1829C8—1181no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—82no—
1842C22—1181no—
1843C22—1182no—
1844C22—1181no—
1845C22—1181no—
1846C22—1181no—
1847C22—1181no—
1848C22—1181no—
1849C22—9442no—
1850C22—4724no—
1851C22—4722no—
1852C22—4724no—
1853C22—2361no—
1854C22—2361no—
1855C22—2361no—
1856C22—2361no—
1857C22—2361no—
1858C22—2361no—
1859C22—2361no—
1860C22—2361no—
1861C22—2361no—
1862C22—2361no—
1863C22—2361no—
1864C22#1683820112yes—
1865C22C22×D4×D5911yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—1181no—
1877C4—1181no—
1878C4—1182no—
1879C4—1181no—
1880C4—1181no—
1881C4—1181no—
1882C4—1181no—
1883C4—2361no—
1884C4—2361no—
1885C4—2361no—
1886C4H(5,𝔽2)×D5911yescharacteristic
1887C4H(5,𝔽2)×D5911yescharacteristic
1888C2—22no—
1889C2—41no—
1890C2—41no—
1891C2—81no—
1892C2—4721no—
1893C2—4721no—
1894C2—4721no—
1895C2—2361no—
1896C2—2361no—
1897C2—2362no—
1898C2#2143772811yescharacteristic
1899C2C2×#1683820111yescharacteristic
1900C2#2143886511yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3190C2
socleC22×C59C23×D4
hypercenter#3190D59
hypocenterC59#61597
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3190

Complements

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

NH ≅ G/Ntype
1. #21437937C2semidirect
2. #21437579C2semidirect
3. #21436352C2semidirect
4. #21436300C2semidirect
5. #21436153C2semidirect
6. #21436123C2semidirect
7. #21436105C2semidirect
8. #21436075C2semidirect
9. #21435989C2semidirect
10. #21435937C2semidirect
11. #21435800C2semidirect
12. #21435778C2semidirect
13. #21435753C2semidirect
14. #21435730C2semidirect
15. #21435684C2semidirect
16. #21435654C2semidirect
17. #21435603C2semidirect
18. #21435573C2semidirect
19. #21435137C2semidirect
20. #21435075C2semidirect
21. #21434940C2semidirect
22. #21434906C2semidirect
23. #21434891C2semidirect
24. #21434208C2semidirect
25. #21434117C2semidirect
26. #21433354C2semidirect
27. #21433339C2semidirect
28. #21433317C2semidirect
29. C2×#16837549C2semidirect
30. #21433127C2semidirect
31. C59×#3190C2semidirect
33. C2×#41×D59C22semidirect
34. C2×#14273759C22semidirect
35. C2×#14273758C22semidirect
36. C2×#14273758C22semidirect
37. C2×#14273754C22semidirect
38. C2×#14273750C22semidirect
39. C2×#14273748C22semidirect
40. C22×#11745660C22semidirect
41. C22×D472C22semidirect
44. #16838100C22semidirect
45. #16838100C22semidirect
47. #16838094C22semidirect
50. #16838070C22semidirect
52. #16838063C22semidirect
53. #16838063C22semidirect
54. #16838062C22semidirect
56. #16838054C22semidirect
58. #16838049C22semidirect
62. #16838043C22semidirect
70. #16837948C22semidirect
71. #16837938C22semidirect
72. #16837938C22semidirect
73. #16837915C22semidirect
74. #16837915C22semidirect
75. #16837914C22semidirect
78. C2×#14273701C22semidirect
80. #16837870C22semidirect
83. #16837795C22semidirect
84. #16837788C22semidirect
85. #16837787C22semidirect
86. #16837783C22semidirect
87. #16837769C22semidirect
88. #16837765C22semidirect
89. #16837758C22semidirect
90. #16837755C22semidirect
91. #16837746C22semidirect
92. #16837745C22semidirect
93. #16837730C22semidirect
94. #16837729C22semidirect
95. #16837728C22semidirect
96. #16837726C22semidirect
97. #16837726C22semidirect
98. #16837713C22semidirect
99. #16837712C22semidirect
100. #16837708C22semidirect
101. #16837705C22semidirect
102. #16837701C22semidirect
103. #16837659C22semidirect
104. #16837656C22semidirect
105. #16837653C22semidirect
106. #16837653C22semidirect
107. #16837651C22semidirect
108. #16837650C22semidirect
109. #16837650C22semidirect
110. #16837649C22semidirect
111. #16837642C22semidirect
112. #16837639C22semidirect
113. #16837634C22semidirect
114. #16837632C22semidirect
115. #16837627C22semidirect
116. #16837627C22semidirect
117. #16837626C22semidirect
118. #16837622C22semidirect
119. #16837620C22semidirect
120. #16837620C22semidirect
121. #16837620C22semidirect
122. #16837616C22semidirect
123. #16837610C22semidirect
124. #16837606C22semidirect
125. #16837600C22semidirect
126. #16837596C22semidirect
127. #16837567C22semidirect
128. #16837567C22semidirect
129. #16837563C22semidirect
130. #16837562C22semidirect
131. #16837562C22semidirect
132. #16837562C22semidirect
133. #16837562C22semidirect
134. #16837561C22semidirect
135. #16837557C22semidirect
136. #16837557C22semidirect
137. #16837556C22semidirect
138. #16837552C22semidirect
139. #16837552C22semidirect
140. #16837552C22semidirect
141. #16837551C22semidirect
142. #16837550C22semidirect
143. #16837550C22semidirect
144. #16837550C22semidirect
147. #16837549C22semidirect
148. #16837549C22semidirect
149. #16837549C22semidirect
150. #16837549C22semidirect
151. #16837549C22semidirect
152. #16837549C22semidirect
153. #16837548C22semidirect
154. #16837547C22semidirect
155. #16837547C22semidirect
156. #16837542C22semidirect
157. #16837537C22semidirect
158. #16837535C22semidirect
159. #16837513C22semidirect
160. #16837506C22semidirect
161. #16837505C22semidirect
162. #16837501C22semidirect
163. #16837494C22semidirect
164. #16837489C22semidirect
165. #16837487C22semidirect
166. #16837484C22semidirect
167. #16837477C22semidirect
168. #16837477C22semidirect
169. #16837476C22semidirect
170. #16837476C22semidirect
173. C8×C22⋊D59C22semidirect
174. C8×C22⋊D59C22semidirect
175. #16837456C22semidirect
176. #16837452C22semidirect
177. #16837409C22semidirect
178. #16837405C22semidirect
179. #16837401C22semidirect
180. #16837401C22semidirect
181. #16837397C22semidirect
182. #16837395C22semidirect
183. C2×#14273652C22semidirect
184. C2×#14273649C22semidirect
185. #16837366C22semidirect
186. #16837364C22semidirect
187. C22⋊C8×D59C22semidirect
189. C2×C22⋊Q8×C59C22semidirect
190. C59×#485C22semidirect
191. C59×#485C22semidirect
192. C59×#483C22semidirect
193. C59×#480C22semidirect
194. C59×#467C22semidirect
195. C59×#467C22semidirect
196. C59×#465C22semidirect
197. C59×#465C22semidirect
198. C59×#452C22semidirect
199. C59×#452C22semidirect
200. C59×#451C22semidirect
201. C59×#448C22semidirect
202. C2×C22⋊C8×C59C22semidirect
961. #3190D59semidirect
1029. C2×C22⋊Q8C2×D59semidirect
1045. #485C2×D59semidirect
1046. #485C2×D59semidirect
1048. #483C2×D59semidirect
1054. #480C2×D59semidirect
1068. #467C2×D59semidirect
1069. #467C2×D59semidirect
1073. #465C2×D59semidirect
1074. #465C2×D59semidirect
1095. #452C2×D59semidirect
1096. #452C2×D59semidirect
1100. #451C2×D59semidirect
1120. #448C2×D59semidirect
1152. C2×C22⋊C8C2×D59semidirect
1153. C59#61597semidirect

Maximal subgroups

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

subgroupindex
#214379372
#214375792
#214363522
#214363002
#214361532
#214361232
#214361052
#214360752
#214359892
#214359372
#214358002
#214357782
#214357532
#214357302
#214356842
#214356542
#214356032
#214355732
#214351372
#214350752
#214349402
#214349062
#214348912
#214342082
#214341172
#214333542
#214333392
#214333172
C2×#168375492
#214331272
C59×#31902
#6159759