Finite Group Databasebeta

← #29475700

Subgroups — #29475700

Order 15104.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438522C211yesmaximal, characteristic, complemented
2#21437856C211yesmaximal, characteristic, complemented
3#21436311C211yesmaximal, characteristic, complemented
4#21436238C211yesmaximal, characteristic, complemented
5#21436193C211yesmaximal, characteristic, complemented
6#21436115C211yesmaximal, characteristic, complemented
7#21436070C211yesmaximal, characteristic, complemented
8#21435940C211yesmaximal, characteristic, complemented
9#21435928C211yesmaximal, characteristic, complemented
10#21435799C211yesmaximal, characteristic, complemented
11#21435776C211yesmaximal, characteristic, complemented
12#21435732C211yesmaximal, characteristic, complemented
13#21435706C211yesmaximal, characteristic, complemented
14#21435658C211yesmaximal, characteristic, complemented
15#21435614C211yesmaximal, characteristic, complemented
16#21435595C211yesmaximal, characteristic, complemented
17#21435583C211yesmaximal, characteristic, complemented
18#21435132C211yesmaximal, characteristic, complemented
19#21435073C211yesmaximal, characteristic, complemented
20#21435007C211yesmaximal, characteristic, complemented
21#21434996C211yesmaximal, characteristic, complemented
22#21434984C211yesmaximal, characteristic, complemented
23#21434949C211yesmaximal, characteristic, complemented
24#21434239C211yesmaximal, characteristic, complemented
25#21434141C211yesmaximal, characteristic, complemented
26#21433402C211yesmaximal, characteristic, complemented
27#21433398C211yesmaximal, characteristic, complemented
28#21433374C211yesmaximal, characteristic, complemented
29#21433359C211yesmaximal, characteristic, complemented
30#21433173C211yesmaximal, characteristic, complemented
31C59×#3322C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic, complemented
33C2×#14273772C2211yescharacteristic
34C2×#14273760C2211yescharacteristic, complemented
35C2×#14273755C2211yescharacteristic, complemented
36C2×#14273751C2211yescharacteristic, complemented
37C2×#14273751C2211yescharacteristic, complemented
38C2×#14273748C2211yescharacteristic, complemented
39C2×#14273747C2211yescharacteristic, complemented
40C22×#11745670C2211yescharacteristic, complemented
41C2×D8×D59C2211yescharacteristic, complemented
42#16838154—21no—
43#16838140—21no—
44#16838117—21no—
45#16838096C2211yescharacteristic, complemented
46#16838090C2211yescharacteristic, complemented
47#16838087C2211yescharacteristic, complemented
48#16838075—21no—
49#16838061C2211yescharacteristic, complemented
50#16838058C2211yescharacteristic, complemented
51#16838054C2211yescharacteristic, complemented
52#16838051C2211yescharacteristic
53#16838050—21no—
54#16838049C2211yescharacteristic, complemented
55#16838048C2211yescharacteristic, complemented
56#16838047C2211yescharacteristic
57#16838047C2211yescharacteristic, complemented
58#16838045C2211yescharacteristic
59#16838042—21no—
60#16838041—21no—
61#16838036C2211yescharacteristic
62D4×C22⋊D59C2211yescharacteristic, complemented
63#16838034—21no—
64#16838005—21no—
65#16838004—21no—
66#16837991—21no—
67#16837985—21no—
68#16837983C2211yescharacteristic, complemented
69#16837982C2211yescharacteristic
70#16837981C2211yescharacteristic, complemented
71#16837981C2211yescharacteristic, complemented
72#16837978C2211yescharacteristic, complemented
73#16837968C2211yescharacteristic, complemented
74#16837963—21no—
75#16837962—21no—
76#16837951C2211yescharacteristic, complemented
77#16837949C2211yescharacteristic
78#16837937C2211yescharacteristic, complemented
79#16837934C2211yescharacteristic, complemented
80C2×#14273700—21no—
81#121×D59—21no—
82C4×D4×D59C2211yescharacteristic, complemented
83#16837793C2211yescharacteristic, complemented
84#16837790C2211yescharacteristic, complemented
85#16837786C2211yescharacteristic, complemented
86#16837784C2211yescharacteristic, complemented
87#16837769C2211yescharacteristic, complemented
88#16837765C2211yescharacteristic, complemented
89#16837759C2211yescharacteristic, complemented
90#16837741C2211yescharacteristic, complemented
91#16837739C2211yescharacteristic, complemented
92#16837737C2211yescharacteristic, complemented
93#16837734C2211yescharacteristic, complemented
94#16837734C2211yescharacteristic, complemented
95#16837729C2211yescharacteristic, complemented
96#16837726C2211yescharacteristic, complemented
97#16837719C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837717C2211yescharacteristic, complemented
100#16837705C2211yescharacteristic, complemented
101#16837704C2211yescharacteristic, complemented
102#16837699C2211yescharacteristic, complemented
103#16837660C2211yescharacteristic, complemented
104#16837659C2211yescharacteristic, complemented
105#16837655C2211yescharacteristic, complemented
106#16837649C2211yescharacteristic, complemented
107#16837649C2211yescharacteristic, complemented
108#16837647C2211yescharacteristic, complemented
109#16837644C2211yescharacteristic, complemented
110#16837642C2211yescharacteristic, complemented
111#16837637C2211yescharacteristic, complemented
112#16837636C2211yescharacteristic, complemented
113#16837633C2211yescharacteristic, complemented
114#16837632C2211yescharacteristic, complemented
115#16837629C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837625C2211yescharacteristic, complemented
118#16837621C2211yescharacteristic, complemented
119#16837618C2211yescharacteristic, complemented
120#16837617C2211yescharacteristic, complemented
121#16837617C2211yescharacteristic, complemented
122#16837616C2211yescharacteristic, complemented
123#16837615C2211yescharacteristic, complemented
124#16837611C2211yescharacteristic, complemented
125#16837606C2211yescharacteristic, complemented
126#16837601C2211yescharacteristic, complemented
127#16837596C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837567C2211yescharacteristic, complemented
131#16837566C2211yescharacteristic, complemented
132#16837565C2211yescharacteristic, complemented
133#16837565C2211yescharacteristic, complemented
134#16837565C2211yescharacteristic, complemented
135#16837565C2211yescharacteristic, complemented
136#16837565C2211yescharacteristic, complemented
137#16837564C2211yescharacteristic, complemented
138#16837557C2211yescharacteristic, complemented
139#16837555C2211yescharacteristic, complemented
140#16837554C2211yescharacteristic, complemented
141#16837554C2211yescharacteristic, complemented
142#16837554C2211yescharacteristic, complemented
143#16837554C2211yescharacteristic, complemented
144#16837554C2211yescharacteristic, complemented
145#16837551C2211yescharacteristic, complemented
146#16837550C2211yescharacteristic, complemented
147#16837550C2211yescharacteristic, complemented
148#16837549C2211yescharacteristic, complemented
149#16837548C2211yescharacteristic, complemented
150#16837546C2211yescharacteristic, complemented
151#16837545C2211yescharacteristic, complemented
152#16837545C2211yescharacteristic, complemented
153#16837544C2211yescharacteristic, complemented
154#16837544C2211yescharacteristic, complemented
155#16837543C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic
157#16837537C2211yescharacteristic, complemented
158#16837537C2211yescharacteristic, complemented
159#16837536C2211yescharacteristic, complemented
160#16837535C2211yescharacteristic, complemented
161#16837534C2211yescharacteristic
162#16837513C2211yescharacteristic, complemented
163#16837511C2211yescharacteristic, complemented
164#16837501C2211yescharacteristic, complemented
165#16837499C2211yescharacteristic, complemented
166C4×#11745660C2211yescharacteristic, complemented
167C4×#11745670C2211yescharacteristic, complemented
168C4×#11745669C2211yescharacteristic, complemented
169#16837481C2211yescharacteristic, complemented
170#16837471C2211yescharacteristic, complemented
171#16837471C2211yescharacteristic, complemented
172#16837470C2211yescharacteristic, complemented
173#16837470C2211yescharacteristic, complemented
174D4×C59⋊C8C2211yescharacteristic, complemented
175#16837467C2211yescharacteristic, complemented
176#16837458C2211yescharacteristic, complemented
177#16837453C2211yescharacteristic, complemented
178#16837405C2211yescharacteristic, complemented
179#16837402C2211yescharacteristic, complemented
180#16837396C2211yescharacteristic, complemented
181#16837395C2211yescharacteristic, complemented
182C2×#14273647C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837370C2211yescharacteristic, complemented
185#16837370C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic, complemented
189C59×#546C2211yescharacteristic, complemented
190C59×#488C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic, complemented
199C4×D8×C59C2211yescharacteristic, complemented
200C59×#436C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C59×#417C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205#14273772—42no—
206#14273772—42no—
207C2×#11745689C2311yescharacteristic
208C2×#11745689C2311yescharacteristic
209C2×#11745685—21no—
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C2×#11745685C2311yescharacteristic
213C2×#11745685C2311yescharacteristic
214C2×#11745687—21no—
215C2×#11745687C2311yescharacteristic
216C2×#11745687C2311yescharacteristic
217C2×#11745687C2311yescharacteristic
218C22×Dic118C2311yescharacteristic
219C22×D236—21no—
220C22×D236C2311yescharacteristic
221C22×C22⋊D59—21no—
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×D59C2311yescharacteristic
229C2×D4×D59C2311yescharacteristic
230C2×D4×D59C2311yescharacteristic
231C2×D4×D59C2311yescharacteristic
232C22×C4×D59—21no—
233#14273760—42no—
234#14273755—42no—
235#14273751—42no—
236#14273751—42no—
237#14273748—42no—
238#14273747—42no—
239C2×Dic236C2311yescharacteristic
240C2×Dic236C2311yescharacteristic
241C2×#11745672C2311yescharacteristic
242C2×#11745672C2311yescharacteristic
243C2×#11745660C2311yescharacteristic
244C2×#11745660C2311yescharacteristic
245C2×#11745660C2311yescharacteristic
246C2×#11745660C2311yescharacteristic
247C2×#11745660C2311yescharacteristic
248C2×#11745670—42no—
249C2×#11745670C2311yescharacteristic
250C2×#11745670C2311yescharacteristic
251C2×#11745670C2311yescharacteristic
252C2×#11745670C2311yescharacteristic
253C2×#11745670C2311yescharacteristic
254C2×#11745671C2311yescharacteristic
255C2×D472C2311yescharacteristic
256C2×D472C2311yescharacteristic
257C2×#11745669C2311yescharacteristic
258C2×#11745669C2311yescharacteristic
259C2×#11745669C2311yescharacteristic
260C2×#11745669C2311yescharacteristic
261D8×D59—42no—
262C2×#11745659C2311yescharacteristic
263C2×#11745659C2311yescharacteristic
264C22×C59⋊C8C2311yescharacteristic
265C22×C59⋊C8C2311yescharacteristic
266C2×C8×D59C2311yescharacteristic
267C2×C8×D59C2311yescharacteristic
268#14273727—21no—
269#14273726D411yescharacteristic
270#14273725C2311yescharacteristic
271#14273723—21no—
272#14273723D411yescharacteristic
273#14273723C2311yescharacteristic
274#14273722—21no—
275#14273722—21no—
276#14273722—21no—
277#14273721—21no—
278#14273720—21no—
279#14273718—21no—
280#14273718C2311yescharacteristic
281#14273717—21no—
282#14273715—21no—
283#14273715C2311yescharacteristic
284#14273715C2311yescharacteristic
285#14273714C2311yescharacteristic
286#14273713—21no—
287#14273713—21no—
288#14273713—21no—
289#14273713D411yescharacteristic
290#14273713D411yescharacteristic
291#14273712—21no—
292#14273712—21no—
293#14273712—21no—
294#14273712—21no—
295#14273711—21no—
296#14273711—21no—
297#14273711—21no—
298#14273711—21no—
299#14273710—21no—
300#14273710—21no—
301#14273709—21no—
302#14273709—21no—
303#14273709—21no—
304#14273709—21no—
305#14273709—21no—
306#14273708—21no—
307#14273707—21no—
308#14273707C2311yescharacteristic
309#14273707C2311yescharacteristic
310#14273707C2311yescharacteristic
311#14273707C2311yescharacteristic
312#14273707C2311yescharacteristic
313#14273707C2311yescharacteristic
314#14273706C2311yescharacteristic
315#14273706C2311yescharacteristic
316#14273705—21no—
317#14273705—21no—
318#14273704—21no—
319#14273704—21no—
320#14273704—21no—
321#14273703C2311yescharacteristic
322#14273702—21no—
323#14273702—21no—
324#14273702D411yescharacteristic
325#14273702C2311yescharacteristic
326#14273702C2311yescharacteristic
327#14273702C2311yescharacteristic
328#14273701—21no—
329#14273701—21no—
330#14273701—21no—
331#14273701—21no—
332#14273701C2311yescharacteristic
333#14273701C2311yescharacteristic
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273700—21no—
338#14273700—21no—
339#14273700—21no—
340#14273700—21no—
341#14273700—21no—
342#14273700—21no—
343#14273700—21no—
344#14273700—21no—
345#14273700D411yescharacteristic
346#14273700D411yescharacteristic
347#14273699—21no—
348#14273699—21no—
349#14273699—21no—
350#14273699—21no—
351#14273699—21no—
352#14273699—21no—
353#14273698—21no—
354#14273698—21no—
355#14273698—21no—
356#14273698D411yescharacteristic
357#14273698C2311yescharacteristic
358#14273698C2311yescharacteristic
359#14273697—21no—
360#14273697—21no—
361#14273697—21no—
362#14273697—21no—
363#14273697—21no—
364#14273696—21no—
365#14273695—21no—
366#14273695—21no—
367#14273695—21no—
368#14273695—21no—
369#14273695—21no—
370C4×Dic118C2311yescharacteristic
371#14273692C2311yescharacteristic
372C4×D236—21no—
373C4×D236C2311yescharacteristic
374C4×D236C2311yescharacteristic
375D4×Dic59—21no—
376D4×Dic59C2311yescharacteristic
377#14273689—21no—
378#14273689C2311yescharacteristic
379#14273689C2311yescharacteristic
380C4×C22⋊D59—21no—
381C4×C22⋊D59—21no—
382C4×C22⋊D59C2311yescharacteristic
383C4×C22⋊D59C2311yescharacteristic
384(C22⋊D59)⋊C4—21no—
385(C22⋊D59)⋊C4—21no—
386(C22⋊D59)⋊C4—21no—
387(C22⋊D59)⋊C4—21no—
388#14273686—21no—
389#14273686—21no—
390#14273685—21no—
391#14273685—21no—
392#14273685C2311yescharacteristic
393C2×Dic59⋊C4—21no—
394C4⋊C4×D59—21no—
395C4⋊C4×D59C2311yescharacteristic
396C4⋊C4×D59C2311yescharacteristic
397C2×(C2×D59)⋊C4—21no—
398C2×(C2×D59)⋊C4—21no—
399C22⋊C4×D59—21no—
400C22⋊C4×D59—21no—
401C22⋊C4×D59—21no—
402C22⋊C4×D59—21no—
403C42×D59C2311yescharacteristic
404#14273660C2311yescharacteristic
405#14273660C2311yescharacteristic
406#14273659C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411Dic59⋊C8C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443(C2×D59)⋊C8C2311yescharacteristic
444#14273637C2311yescharacteristic
445#14273637C2311yescharacteristic
446C4×C59⋊C8C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C22×D4×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C2×M16×C59C2311yescharacteristic
454#126×C59—21no—
455#125×C59C2311yescharacteristic
456#124×C59C2311yescharacteristic
457#123×C59—21no—
458#123×C59—21no—
459C22⋊Q8×C59C2311yescharacteristic
460#121×C59—21no—
461#121×C59—21no—
462#121×C59C2311yescharacteristic
463#121×C59C2311yescharacteristic
464#121×C59C2311yescharacteristic
465#120×C59—21no—
466C4×D4×C59—21no—
467C4×D4×C59C2311yescharacteristic
468C4×D4×C59C2311yescharacteristic
469C4×D4×C59C2311yescharacteristic
470#117×C59C2311yescharacteristic
471C2×C4⋊C4×C59C2311yescharacteristic
472C2×C22⋊C4×C59—21no—
473#107×C59C2311yescharacteristic
474#107×C59C2311yescharacteristic
475#106×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477#103×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
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C4×C8×C59C2311yescharacteristic
490C24×C59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496#41×C59—22no—
497#41×C59—41no—
498C2×Q8×C59C2411yescharacteristic
499C2×D4×C59—22no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—41no—
506C2×D4×C59C2×D411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C2×D4×C59C2411yescharacteristic
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59C2411yescharacteristic
515C22×C4×C59C2411yescharacteristic
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
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—21no—
531C2×C22⋊D59—44no—
532C2×C22⋊D59—44no—
533C2×C22⋊D59—82no—
534C2×C22⋊D59C2×D411yescharacteristic
535C2×C22⋊D59C2×D411yescharacteristic
536C2×C22⋊D59C2×D411yescharacteristic
537C2×C22⋊D59C2×D411yescharacteristic
538C2×C22⋊D59C2×D411yescharacteristic
539C2×C22⋊D59C2×D411yescharacteristic
540C22×Dic59—21no—
541C22×Dic59—21no—
542C22×Dic59—21no—
543C22×Dic59—21no—
544C22×Dic59—21no—
545#11745689—22no—
546#11745689—41no—
547#11745689—41no—
548#11745689—41no—
549#11745687—22no—
550#11745687—41no—
551#11745687—41no—
552#11745687—41no—
553#11745687—41no—
554#11745687—41no—
555#11745687—44no—
556D4×D59—22no—
557D4×D59—22no—
558D4×D59—22no—
559D4×D59—22no—
560D4×D59—41no—
561D4×D59—41no—
562D4×D59—41no—
563D4×D59—41no—
564D4×D59—44no—
565D4×D59—44no—
566D4×D59—44no—
567D4×D59—82no—
568#11745685—22no—
569#11745685—41no—
570#11745685—41no—
571#11745685—41no—
572#11745685—41no—
573#11745685—41no—
574#11745685—41no—
575#11745685—41no—
576#11745685—44no—
577C2×D236—22no—
578C2×D236—21no—
579C2×D236—21no—
580C2×D236—21no—
581C2×D236—21no—
582C2×D236—21no—
583C2×D236—21no—
584C2×D236—41no—
585C2×D236—44no—
586C2×D236C2×D411yescharacteristic
587C2×D236C2×D411yescharacteristic
588C2×D236C2×D411yescharacteristic
589C2×D236C2411yescharacteristic
590C2×D236C2411yescharacteristic
591C2×D236C2411yescharacteristic
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—21no—
599C2×C4×D59—21no—
600C2×C4×D59—21no—
601C2×C4×D59—82no—
602C2×C4×D59C2×D411yescharacteristic
603C2×C4×D59C2×D411yescharacteristic
604C2×C4×D59C2411yescharacteristic
605C2×C4×D59C2411yescharacteristic
606C2×C4×D59C2411yescharacteristic
607C2×Dic118—21no—
608C2×Dic118—41no—
609C2×Dic118—41no—
610C2×Dic118C2×D411yescharacteristic
611C2×Dic118C2×D411yescharacteristic
612C2×Dic118C2411yescharacteristic
613C2×Dic118C2411yescharacteristic
614C2×Dic118C2411yescharacteristic
615SD16×C59—41no—
616D8×C59—22no—
617D8×C59—41no—
618M16×C59—41no—
619M16×C59—41no—
620C2×C8×C59C2411yescharacteristic
621C2×C8×C59C2411yescharacteristic
622C2×C8×C59C2411yescharacteristic
623C2×C8×C59C2411yescharacteristic
624C4⋊C4×C59—21no—
625C4⋊C4×C59—21no—
626C4⋊C4×C59—21no—
627C4⋊C4×C59—21no—
628C4⋊C4×C59C2×D411yescharacteristic
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—
642C22⋊C4×C59C2×D411yescharacteristic
643C22⋊C4×C59C2×D411yescharacteristic
644C42×C59—21no—
645C42×C59C2411yescharacteristic
646C22⋊Dic59—21no—
647C22⋊Dic59—21no—
648C22⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59—21no—
652C22⋊Dic59—21no—
653C22⋊Dic59C2×D411yescharacteristic
654C22⋊Dic59C2×D411yescharacteristic
655#11745672—41no—
656#11745672—41no—
657#11745671—41no—
658#11745670—22no—
659#11745670—22no—
660#11745670—41no—
661#11745670—41no—
662#11745670—41no—
663#11745669—22no—
664#11745669—22no—
665#11745669—41no—
666#11745669—41no—
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)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4C2×D411yescharacteristic
688(C2×D59)⋊C4C2×D411yescharacteristic
689(C2×D59)⋊C4C2×D411yescharacteristic
690(C2×D59)⋊C4C2×D411yescharacteristic
691C4⋊Dic59—21no—
692C4⋊Dic59—21no—
693C4⋊Dic59—21no—
694C4⋊Dic59—21no—
695C4⋊Dic59—21no—
696C4⋊Dic59—21no—
697C4⋊Dic59—21no—
698C4⋊Dic59C2×D411yescharacteristic
699C4⋊Dic59C2411yescharacteristic
700C4⋊Dic59C2411yescharacteristic
701Dic59⋊C4—21no—
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4C2×D411yescharacteristic
712Dic59⋊C4C2×D411yescharacteristic
713C4×Dic59—21no—
714C4×Dic59—21no—
715C4×Dic59—21no—
716C4×Dic59C2×D411yescharacteristic
717C4×Dic59C2×D411yescharacteristic
718C4×Dic59C2411yescharacteristic
719C2×C59⋊C8—41no—
720C2×C59⋊C8—41no—
721C2×C59⋊C8C2411yescharacteristic
722C2×C59⋊C8C2411yescharacteristic
723C2×C59⋊C8C2411yescharacteristic
724C2×C59⋊C8C2411yescharacteristic
725Dic236—41no—
726Dic236—41no—
727D472—22no—
728D472—41no—
729#11745660—22no—
730#11745660—22no—
731#11745660—41no—
732#11745660—41no—
733#11745660—41no—
734#11745659—41no—
735#11745659—41no—
736C8×D59—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59—21no—
740C23×C59—21no—
741C23×C59—42no—
742C23×C59—81no—
743C23×C59—81no—
744C23×C59C22×D411yescharacteristic
745C23×C59C22×D411yescharacteristic
746C22×D59—21no—
747C22×D59—24no—
748C22×D59—21no—
749C22×D59—21no—
750C22×D59—42no—
751C22×D59—42no—
752C22×D59—42no—
753C22×D59—81no—
754C22×D59—81no—
755C22×D59—81no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59—81no—
761C22×D59—81no—
762C22×D59—81no—
763C22×D59—81no—
764C22×D59C22×D411yescharacteristic
765C22×D59C22×D411yescharacteristic
766C22×D59C22×D411yescharacteristic
767Q8×C59—21no—
768Q8×C59—21no—
769D4×C59—21no—
770D4×C59—21no—
771D4×C59—21no—
772D4×C59—21no—
773D4×C59—21no—
774D4×C59—41no—
775D4×C59—42no—
776D4×C59—42no—
777D4×C59—81no—
778D4×C59—81no—
779D4×C59—81no—
780D4×C59H(5,𝔽2)12yes—
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—21no—
789C2×C4×C59—21no—
790C2×C4×C59—42no—
791C2×C4×C59—81no—
792C2×C4×C59—81no—
793C2×C4×C59—81no—
794C2×C4×C59C22×D411yescharacteristic
795C2×C4×C59C22×D411yescharacteristic
796C2×C4×C59C22×D411yescharacteristic
797C2×C4×C59C22×D411yescharacteristic
798C2×C4×C59C2511yescharacteristic
799C22⋊D59—24no—
800C22⋊D59—41no—
801C22⋊D59—41no—
802C22⋊D59—41no—
803C22⋊D59—41no—
804C22⋊D59—41no—
805C22⋊D59—41no—
806C22⋊D59—42no—
807C22⋊D59—42no—
808C22⋊D59—42no—
809C22⋊D59—42no—
810C22⋊D59—42no—
811C22⋊D59—42no—
812C22⋊D59—81no—
813C22⋊D59—81no—
814C22⋊D59—81no—
815C22⋊D59—81no—
816C22⋊D59—81no—
817C22⋊D59—81no—
818C22⋊D59—81no—
819C22⋊D59—81no—
820C2×Dic59—21no—
821C2×Dic59—21no—
822C2×Dic59—21no—
823C2×Dic59—21no—
824C2×Dic59—21no—
825C2×Dic59—42no—
826C2×Dic59—42no—
827C2×Dic59—42no—
828C2×Dic59—81no—
829C2×Dic59—81no—
830C2×Dic59C22×D411yescharacteristic
831C2×Dic59C22×D411yescharacteristic
832C2×Dic59C22×D411yescharacteristic
833C2×Dic59C22×D411yescharacteristic
834C2×Dic59C22×D411yescharacteristic
835D236—21no—
836D236—21no—
837D236—21no—
838D236—21no—
839D236—21no—
840D236—41no—
841D236—41no—
842D236—41no—
843D236—42no—
844D236—42no—
845D236—42no—
846D236—81no—
847D236—81no—
848D236—81no—
849D236H(5,𝔽2)12yes—
850C4×D59—21no—
851C4×D59—21no—
852C4×D59—21no—
853C4×D59—21no—
854C4×D59—21no—
855C4×D59—21no—
856C4×D59—41no—
857C4×D59—41no—
858C4×D59—42no—
859C4×D59—42no—
860C4×D59—42no—
861C4×D59—42no—
862C4×D59—81no—
863C4×D59—81no—
864C4×D59—81no—
865C4×D59—81no—
866C4×D59—81no—
867Dic118—21no—
868Dic118—21no—
869Dic118—21no—
870Dic118—21no—
871Dic118—21no—
872Dic118—21no—
873Dic118—41no—
874Dic118—41no—
875Dic118—81no—
876C8×C59—21no—
877C8×C59—21no—
878C8×C59—21no—
879C8×C59—21no—
880C59⋊C8—21no—
881C59⋊C8—21no—
882C59⋊C8—21no—
883C59⋊C8—21no—
884#61678—591nomaximal, Sylow
885C22×C59—21no—
886C22×C59—21no—
887C22×C59—21no—
888C22×C59—21no—
889C22×C59—22no—
890C22×C59—21no—
891C22×C59—21no—
892C22×C59—41no—
893C22×C59—41no—
894C22×C59—41no—
895C22×C59—41no—
896C22×C59—41no—
897C22×C59—41no—
898C22×C59—41no—
899C22×C59—41no—
900C22×C59—162no—
901C22×C59C23×D411yescharacteristic
902C2×D59—21no—
903C2×D59—21no—
904C2×D59—21no—
905C2×D59—21no—
906C2×D59—21no—
907C2×D59—21no—
908C2×D59—21no—
909C2×D59—21no—
910C2×D59—21no—
911C2×D59—22no—
912C2×D59—41no—
913C2×D59—41no—
914C2×D59—41no—
915C2×D59—41no—
916C2×D59—41no—
917C2×D59—41no—
918C2×D59—41no—
919C2×D59—41no—
920C2×D59—84no—
921C2×D59—162no—
922C2×D59—162no—
923C2×D59—162no—
924C2×D59—162no—
925C4×C59—21no—
926C4×C59—21no—
927C4×C59—21no—
928C4×C59—21no—
929C4×C59—41no—
930C4×C59—41no—
931C4×C59—41no—
932C4×C59—41no—
933C4×C59—41no—
934C4×C59C2×H(5,𝔽2)11yescharacteristic
935C4×C59C2×H(5,𝔽2)11yescharacteristic
936Dic59—21no—
937Dic59—21no—
938Dic59—21no—
939Dic59—21no—
940Dic59—21no—
941Dic59—41no—
942Dic59—41no—
943Dic59—41no—
944Dic59—41no—
945Dic59—41no—
946#3551—591no—
947#3496—591no—
948#3323—591no—
949#3322D5911yescharacteristic, complemented
950#3318—591no—
951#3315—591no—
952#3310—591no—
953#3307—591no—
954#3297—591no—
955#3296—591no—
956#3282—591no—
957#3280—591no—
958#3275—591no—
959#3273—591no—
960#3269—591no—
961#3267—591no—
962#3265—591no—
963#3264—591no—
964#3219—591no—
965#3212—591no—
966#3204—591no—
967#3203—591no—
968#3201—591no—
969#3198—591no—
970#3114—591no—
971#3105—591no—
972#3012—591no—
973#3012—591no—
974#3009—591no—
975#3008—591no—
976#2981—591no—
977C2×C59—42no—
978C2×C59—41no—
979C2×C59—41no—
980C2×C59—81no—
981C2×C59—81no—
982C2×C59#348411yescharacteristic
983C2×C59#358411yescharacteristic
984C2×C59#358511yescharacteristic
985D59—41no—
986D59—41no—
987D59—41no—
988D59—42no—
989D59—81no—
990D59—81no—
991C2×H(5,𝔽2)—591no—
992C2×H(5,𝔽2)—591no—
993C2×#137—591no—
994C2×AGL(1,ℤ/8)—591no—
995C2×AGL(1,ℤ/8)—591no—
996C2×AGL(1,ℤ/8)—591no—
997C2×#135—591no—
998C2×#135—591no—
999C22×SD16—591no—
1000C22×D8—591no—
1001#563—1181no—
1002#560—1181no—
1003#555—1181no—
1004#553—591no—
1005#553C2×D5911yescharacteristic, complemented
1006#552—591no—
1007#552—591no—
1008#551—1181no—
1009#548—591no—
1010#548—591no—
1011#547—591no—
1012#547—591no—
1013#547—1181no—
1014#546—591no—
1015#546—591no—
1016#546—591no—
1017#546—591no—
1018#546—591no—
1019#546—1181no—
1020#546—1181no—
1021#546C2×D5911yescharacteristic, complemented
1022D42—591no—
1023D42—591no—
1024D42—1181no—
1025#540—1181no—
1026#540—1181no—
1027#538—1181no—
1028#538—1181no—
1029#537—591no—
1030#537—591no—
1031#537—591no—
1032#537—591no—
1033#536—591no—
1034#535—591no—
1035#534—1181no—
1036#534—1181no—
1037#532—591no—
1038#532—591no—
1039#529—591no—
1040#529—591no—
1041C2×#121—1181no—
1042C2×#121—1181no—
1043C2×C4×D4—591no—
1044#497—591no—
1045#496—591no—
1046#495—591no—
1047#495—591no—
1048#491—591no—
1049#490—591no—
1050#488—591no—
1051#488C2×D5911yescharacteristic, complemented
1052#485—591no—
1053#485C2×D5911yescharacteristic, complemented
1054#484—591no—
1055#484—591no—
1056#483—591no—
1057#483—591no—
1058#482—591no—
1059#482—591no—
1060#481—591no—
1061#481—591no—
1062#480—591no—
1063#480C2×D5911yescharacteristic, complemented
1064#478—591no—
1065#478—591no—
1066#478—591no—
1067#478C2×D5911yescharacteristic, complemented
1068#470—591no—
1069#470—591no—
1070#469—591no—
1071#469C2×D5911yescharacteristic, complemented
1072#468—591no—
1073#468—591no—
1074#468—591no—
1075#468C2×D5911yescharacteristic, complemented
1076#467—591no—
1077#467—591no—
1078#466—591no—
1079#466—591no—
1080#465—591no—
1081#465—591no—
1082#465—591no—
1083#465—591no—
1084#464—591no—
1085#464—591no—
1086#463—591no—
1087#463—591no—
1088#463—591no—
1089#463—591no—
1090#463—591no—
1091#463C2×D5911yescharacteristic, complemented
1092#462—591no—
1093#461—591no—
1094#460—591no—
1095#459—591no—
1096#452—591no—
1097#452—591no—
1098#452—591no—
1099#452—591no—
1100#452—591no—
1101#452—591no—
1102#452—591no—
1103#452—591no—
1104#452—591no—
1105#452—591no—
1106#451—591no—
1107#450—591no—
1108#450—591no—
1109#450—591no—
1110#450—591no—
1111#450—591no—
1112#450—591no—
1113#450—591no—
1114#449—591no—
1115#449—591no—
1116#449—591no—
1117#449—591no—
1118#449—591no—
1119#449—591no—
1120#449—591no—
1121#449—591no—
1122#449—591no—
1123#449C2×D5911yescharacteristic, complemented
1124#448—591no—
1125#447—591no—
1126#447—591no—
1127#447—591no—
1128#447—591no—
1129#447—591no—
1130#447—591no—
1131#447C2×D5911yescharacteristic, complemented
1132#442—591no—
1133#442—591no—
1134#440—591no—
1135#440—591no—
1136C4×SD16—591no—
1137C4×SD16—591no—
1138C4×D8—591no—
1139C4×D8C2×D5911yescharacteristic, complemented
1140#436—591no—
1141#436C2×D5911yescharacteristic, complemented
1142#435—591no—
1143#435—591no—
1144#435—591no—
1145#435—591no—
1146C8×D4—591no—
1147C8×D4—591no—
1148#432—591no—
1149#431—591no—
1150#418—591no—
1151#418C2×D5911yescharacteristic, complemented
1152#417—591no—
1153#417C2×D5911yescharacteristic, complemented
1154#416—591no—
1155#416—591no—
1156C2×#102—591no—
1157C2×#102—591no—
1158#408—591no—
1159#408—591no—
1160#408—591no—
1161#408—591no—
1162C59#6167811yescharacteristic, complemented, Sylow
1163H(5,𝔽2)—2362no—
1164H(5,𝔽2)—2362no—
1165H(5,𝔽2)—2362no—
1166H(5,𝔽2)—2362no—
1167C2×#41—591no—
1168C2×#41—591no—
1169C2×#41—591no—
1170C2×#41—591no—
1171C2×#41—591no—
1172C2×#41—591no—
1173C2×#41—591no—
1174C2×#41—591no—
1175C2×#41—591no—
1176C2×#41—1181no—
1177C2×#41—1181no—
1178C2×#41C22×D5911yescharacteristic
1179C22×Q8—591no—
1180C22×D4—591no—
1181C22×D4—591no—
1182C22×D4—591no—
1183C22×D4—591no—
1184C22×D4—591no—
1185C22×D4—1181no—
1186C22×D4—1181no—
1187C22×D4—1181no—
1188C22×D4—1181no—
1189C22×D4—1181no—
1190C22×D4—1181no—
1191C22×D4—1181no—
1192C22×D4—1181no—
1193C22×D4C22×D5911yescharacteristic
1194C23×C4—1181no—
1195#137—2362no—
1196AGL(1,ℤ/8)—2362no—
1197AGL(1,ℤ/8)—2362no—
1198AGL(1,ℤ/8)—2362no—
1199#135—2362no—
1200#135—2362no—
1201C2×Q16—591no—
1202C2×Q16—591no—
1203C2×Q16—591no—
1204C2×Q16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16—591no—
1209C2×SD16—591no—
1210C2×SD16—591no—
1211C2×SD16—591no—
1212C2×SD16—591no—
1213C2×SD16—591no—
1214C2×SD16—591no—
1215C2×SD16—591no—
1216C2×SD16—2362no—
1217C2×SD16C22×D5911yescharacteristic
1218C2×D8—591no—
1219C2×D8—591no—
1220C2×D8—591no—
1221C2×D8—591no—
1222C2×D8—591no—
1223C2×D8—591no—
1224C2×D8—2362no—
1225C2×D8C22×D5911yescharacteristic
1226C2×D8C22×D5911yescharacteristic
1227C2×M16—591no—
1228C2×M16—591no—
1229C2×M16C22×D5911yescharacteristic
1230C2×M16C22×D5911yescharacteristic
1231C22×C8—591no—
1232C22×C8—591no—
1233C22×C8—591no—
1234C22×C8—591no—
1235C4⋊Q8—591no—
1236C4⋊Q8—591no—
1237C4⋊Q8—1181no—
1238#127—591no—
1239#127—591no—
1240#127—1181no—
1241#126—21no—
1242#126—1181no—
1243#126—1181no—
1244#126—1181no—
1245#126—1181no—
1246#126—1181no—
1247#125—591no—
1248#125—1181no—
1249#125—1181no—
1250#125C22×D5911yescharacteristic
1251#124—591no—
1252#124—591no—
1253#124—591no—
1254#124—591no—
1255#124—591no—
1256#124—1181no—
1257#124—1181no—
1258#124—1181no—
1259#124—1181no—
1260#124C22×D5911yescharacteristic
1261#123—21no—
1262#123—21no—
1263#123—1181no—
1264#123—1181no—
1265#123—1181no—
1266#123—1181no—
1267#123—1181no—
1268#123—1181no—
1269#123—1181no—
1270#123—1181no—
1271#123—1181no—
1272#123—1181no—
1273#123—1181no—
1274#123—1181no—
1275#123—1181no—
1276#123—1181no—
1277#123—1181no—
1278#123—1181no—
1279C22⋊Q8—591no—
1280C22⋊Q8—591no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—591no—
1285C22⋊Q8—591no—
1286C22⋊Q8—591no—
1287C22⋊Q8—591no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8—1181no—
1293C22⋊Q8—1181no—
1294C22⋊Q8C22×D5911yescharacteristic
1295#121—21no—
1296#121—21no—
1297#121—591no—
1298#121—591no—
1299#121—591no—
1300#121—591no—
1301#121—591no—
1302#121—591no—
1303#121—591no—
1304#121—591no—
1305#121—591no—
1306#121—591no—
1307#121—591no—
1308#121—1181no—
1309#121—1181no—
1310#121—1181no—
1311#121—1181no—
1312#121—1181no—
1313#121—1181no—
1314#121—1181no—
1315#121—1181no—
1316#121—1181no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121—1181no—
1329#121—1181no—
1330#121—1181no—
1331#121—1181no—
1332#121—1181no—
1333#121—1181no—
1334#121C22×D5911yescharacteristic
1335#121C22×D5911yescharacteristic
1336#121C22×D5911yescharacteristic
1337#120—21no—
1338#120—1181no—
1339#120—1181no—
1340#120—1181no—
1341#120—1181no—
1342#120—1181no—
1343#120—1181no—
1344#120—1181no—
1345#120—1181no—
1346#120—1181no—
1347#120—1181no—
1348#120—1181no—
1349C4×Q8—591no—
1350C4×Q8—591no—
1351C4×D4—21no—
1352C4×D4—591no—
1353C4×D4—591no—
1354C4×D4—591no—
1355C4×D4—591no—
1356C4×D4—591no—
1357C4×D4—591no—
1358C4×D4—591no—
1359C4×D4—1181no—
1360C4×D4—1181no—
1361C4×D4—1181no—
1362C4×D4—1181no—
1363C4×D4—1181no—
1364C4×D4—1181no—
1365C4×D4—1181no—
1366C4×D4—1181no—
1367C4×D4—1181no—
1368C4×D4C22×D5911yescharacteristic
1369C4×D4C22×D5911yescharacteristic
1370C4×D4C22×D5911yescharacteristic
1371#117—591no—
1372#117—1181no—
1373#117—1181no—
1374#117—1181no—
1375#117—1181no—
1376#117C22×D5911yescharacteristic
1377C2×C4⋊C4—591no—
1378C2×C4⋊C4—591no—
1379C2×C4⋊C4—1181no—
1380C2×C4⋊C4—1181no—
1381C2×C4⋊C4C22×D5911yescharacteristic
1382C2×C22⋊C4—21no—
1383C2×C22⋊C4—1181no—
1384C2×C22⋊C4—1181no—
1385C2×C22⋊C4—1181no—
1386C2×C22⋊C4—1181no—
1387C2×C22⋊C4—1181no—
1388C2×C22⋊C4—1181no—
1389C2×C42—591no—
1390#107—591no—
1391#107—591no—
1392#107C22×D5911yescharacteristic
1393#107C22×D5911yescharacteristic
1394#106—591no—
1395#106—591no—
1396#106—591no—
1397#106C22×D5911yescharacteristic
1398C4⋊C8—591no—
1399C4⋊C8—591no—
1400C4⋊C8—591no—
1401C4⋊C8C22×D5911yescharacteristic
1402#103—591no—
1403#103—591no—
1404#103—591no—
1405#103—591no—
1406#103—591no—
1407#103—591no—
1408#103—591no—
1409#103—591no—
1410#103—591no—
1411#103C22×D5911yescharacteristic
1412#103C22×D5911yescharacteristic
1413#103C22×D5911yescharacteristic
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#102—591no—
1424#102—591no—
1425#102—591no—
1426#102—591no—
1427#102C22×D5911yescharacteristic
1428#102C22×D5911yescharacteristic
1429#102C22×D5911yescharacteristic
1430#102C22×D5911yescharacteristic
1431#102C22×D5911yescharacteristic
1432#102C22×D5911yescharacteristic
1433#102C22×D5911yescharacteristic
1434C22⋊C8—591no—
1435C22⋊C8—591no—
1436C22⋊C8—591no—
1437C22⋊C8—591no—
1438C22⋊C8—591no—
1439C22⋊C8—591no—
1440C22⋊C8—591no—
1441C22⋊C8—591no—
1442C22⋊C8—591no—
1443C22⋊C8—591no—
1444C22⋊C8C22×D5911yescharacteristic
1445C22⋊C8C22×D5911yescharacteristic
1446#97—591no—
1447#97—591no—
1448C4×C8—591no—
1449C4×C8C22×D5911yescharacteristic
1450C24—21no—
1451C24—1181no—
1452C24—1181no—
1453C24—1181no—
1454C24—1181no—
1455C24—1181no—
1456#41—22no—
1457#41—41no—
1458#41—1182no—
1459#41—1182no—
1460#41—1182no—
1461#41—2361no—
1462#41—2361no—
1463#41—2361no—
1464#41—2361no—
1465#41—2361no—
1466#41—2361no—
1467#41—2361no—
1468#41—2364no—
1469#41—2361no—
1470#41—2361no—
1471#41—2361no—
1472#41—2361no—
1473#41—2361no—
1474#41—2361no—
1475#41—2361no—
1476#41—2361no—
1477#41—2364no—
1478C2×Q8—591no—
1479C2×Q8—591no—
1480C2×Q8—591no—
1481C2×Q8—591no—
1482C2×Q8—591no—
1483C2×Q8—1181no—
1484C2×Q8—2361no—
1485C2×Q8—2361no—
1486C2×Q8C23×D5911yescharacteristic
1487C2×D4—22no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—41no—
1494C2×D4—591no—
1495C2×D4—591no—
1496C2×D4—591no—
1497C2×D4—591no—
1498C2×D4—591no—
1499C2×D4—591no—
1500C2×D4—591no—
1501C2×D4—591no—
1502C2×D4—591no—
1503C2×D4—591no—
1504C2×D4—591no—
1505C2×D4—591no—
1506C2×D4—1182no—
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—1181no—
1517C2×D4—1181no—
1518C2×D4—1182no—
1519C2×D4—1182no—
1520C2×D4—1182no—
1521C2×D4—1182no—
1522C2×D4—1181no—
1523C2×D4—1181no—
1524C2×D4—1181no—
1525C2×D4—1181no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—4722no—
1533C2×D4—4722no—
1534C2×D4—2361no—
1535C2×D4—2364no—
1536C2×D4—2361no—
1537C2×D4—2361no—
1538C2×D4—2361no—
1539C2×D4—2361no—
1540C2×D4—2364no—
1541C2×D4—2364no—
1542C2×D4—2364no—
1543C2×D4—2364no—
1544C2×D4—2364no—
1545C2×D4D4×D5911yescharacteristic
1546C2×D4C23×D5911yescharacteristic
1547C2×D4C23×D5911yescharacteristic
1548C2×D4C23×D5911yescharacteristic
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—21no—
1553C22×C4—591no—
1554C22×C4—591no—
1555C22×C4—591no—
1556C22×C4—591no—
1557C22×C4—591no—
1558C22×C4—1181no—
1559C22×C4—1181no—
1560C22×C4—1181no—
1561C22×C4—1181no—
1562C22×C4—1181no—
1563C22×C4—1181no—
1564C22×C4—1181no—
1565C22×C4—1181no—
1566C22×C4—1181no—
1567C22×C4—1181no—
1568C22×C4—1181no—
1569C22×C4—1181no—
1570C22×C4—1181no—
1571C22×C4—1181no—
1572C22×C4—4722no—
1573C22×C4C23×D5911yescharacteristic
1574C22×C4C23×D5911yescharacteristic
1575Q16—2361no—
1576Q16—2361no—
1577Q16—2361no—
1578Q16—2361no—
1579SD16—41no—
1580SD16—1182no—
1581SD16—1182no—
1582SD16—1182no—
1583SD16—1182no—
1584SD16—2361no—
1585SD16—2361no—
1586SD16—2361no—
1587SD16—2361no—
1588SD16—2361no—
1589SD16—2361no—
1590SD16—2361no—
1591D8—22no—
1592D8—41no—
1593D8—1182no—
1594D8—1182no—
1595D8—1182no—
1596D8—2361no—
1597D8—2361no—
1598D8—2361no—
1599M16—41no—
1600M16—41no—
1601M16—2361no—
1602M16—2361no—
1603C2×C8—591no—
1604C2×C8—591no—
1605C2×C8—591no—
1606C2×C8—591no—
1607C2×C8—2361no—
1608C2×C8—2361no—
1609C2×C8—2361no—
1610C2×C8—2361no—
1611C2×C8C23×D5911yescharacteristic
1612C2×C8C23×D5911yescharacteristic
1613C2×C8C23×D5911yescharacteristic
1614C2×C8C23×D5911yescharacteristic
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—591no—
1620C4⋊C4—591no—
1621C4⋊C4—591no—
1622C4⋊C4—591no—
1623C4⋊C4—591no—
1624C4⋊C4—1181no—
1625C4⋊C4—1181no—
1626C4⋊C4—1181no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4—1181no—
1630C4⋊C4—1181no—
1631C4⋊C4—1181no—
1632C4⋊C4—1181no—
1633C4⋊C4—1181no—
1634C4⋊C4—1181no—
1635C4⋊C4—1181no—
1636C4⋊C4—1181no—
1637C4⋊C4—1181no—
1638C4⋊C4—1181no—
1639C4⋊C4—1181no—
1640C4⋊C4—1181no—
1641C4⋊C4D4×D5911yescharacteristic
1642C4⋊C4C23×D5911yescharacteristic
1643C4⋊C4C23×D5911yescharacteristic
1644C4⋊C4C23×D5911yescharacteristic
1645C4⋊C4C23×D5911yescharacteristic
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—591no—
1656C22⋊C4—591no—
1657C22⋊C4—591no—
1658C22⋊C4—591no—
1659C22⋊C4—591no—
1660C22⋊C4—591no—
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—
1678C22⋊C4—1181no—
1679C22⋊C4—1181no—
1680C22⋊C4—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4—1181no—
1683C22⋊C4—1181no—
1684C22⋊C4—1181no—
1685C22⋊C4—1181no—
1686C22⋊C4—1181no—
1687C22⋊C4—1181no—
1688C22⋊C4D4×D5911yescharacteristic
1689C22⋊C4D4×D5911yescharacteristic
1690C42—21no—
1691C42—591no—
1692C42—591no—
1693C42—591no—
1694C42—1181no—
1695C42—1181no—
1696C42—1181no—
1697C42C23×D5911yescharacteristic
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—42no—
1702C23—81no—
1703C23—81no—
1704C23—591no—
1705C23—591no—
1706C23—591no—
1707C23—1184no—
1708C23—1181no—
1709C23—1181no—
1710C23—1181no—
1711C23—4721no—
1712C23—4721no—
1713C23—4721no—
1714C23—4721no—
1715C23—4721no—
1716C23—4721no—
1717C23—4721no—
1718C23—4721no—
1719C23—4721no—
1720C23—4721no—
1721C23—4721no—
1722C23—2362no—
1723C23—2362no—
1724C23—2362no—
1725C23C2×D4×D5911yescharacteristic
1726C23C2×D4×D5911yescharacteristic
1727Q8—21no—
1728Q8—21no—
1729Q8—1181no—
1730Q8—1181no—
1731Q8—1181no—
1732Q8—1181no—
1733Q8—1181no—
1734Q8—1181no—
1735Q8—4721no—
1736Q8—2361no—
1737Q8—2361no—
1738D4—21no—
1739D4—21no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—41no—
1744D4—42no—
1745D4—42no—
1746D4—81no—
1747D4—81no—
1748D4—81no—
1749D4—592no—
1750D4—1184no—
1751D4—1181no—
1752D4—1181no—
1753D4—1181no—
1754D4—1181no—
1755D4—1181no—
1756D4—4721no—
1757D4—4721no—
1758D4—4721no—
1759D4—4721no—
1760D4—4721no—
1761D4—4721no—
1762D4—4721no—
1763D4—4721no—
1764D4—4721no—
1765D4—4721no—
1766D4—4721no—
1767D4—2361no—
1768D4—2361no—
1769D4—2361no—
1770D4—2362no—
1771D4—2362no—
1772D4—2362no—
1773D4—2361no—
1774D4—2361no—
1775D4—2361no—
1776D4—2361no—
1777D4—2361no—
1778D4—2361no—
1779D4—2362no—
1780D4—2362no—
1781D4—2362no—
1782D4—2362no—
1783D4—2362no—
1784D4—2362no—
1785D4#1427377312yes—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—42no—
1796C2×C4—81no—
1797C2×C4—81no—
1798C2×C4—81no—
1799C2×C4—591no—
1800C2×C4—591no—
1801C2×C4—591no—
1802C2×C4—591no—
1803C2×C4—591no—
1804C2×C4—1181no—
1805C2×C4—1181no—
1806C2×C4—1181no—
1807C2×C4—1181no—
1808C2×C4—1181no—
1809C2×C4—1181no—
1810C2×C4—1181no—
1811C2×C4—1181no—
1812C2×C4—1181no—
1813C2×C4—1181no—
1814C2×C4—1181no—
1815C2×C4—4721no—
1816C2×C4—4721no—
1817C2×C4—4721no—
1818C2×C4—4721no—
1819C2×C4—4721no—
1820C2×C4—4721no—
1821C2×C4—4721no—
1822C2×C4—2361no—
1823C2×C4—2361no—
1824C2×C4—2362no—
1825C2×C4—2362no—
1826C2×C4—2362no—
1827C2×C4—2362no—
1828C2×C4—2362no—
1829C2×C4—2362no—
1830C2×C4—2362no—
1831C2×C4C2×D4×D5911yescharacteristic
1832C2×C4C2×D4×D5911yescharacteristic
1833C2×C4C2×D4×D5911yescharacteristic
1834C2×C4C2×D4×D5911yescharacteristic
1835C2×C4C24×D5911yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—1181no—
1841C8—1181no—
1842C8—1181no—
1843C8—1181no—
1844C22—21no—
1845C22—21no—
1846C22—22no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—162no—
1860C22—1181no—
1861C22—1181no—
1862C22—1181no—
1863C22—1182no—
1864C22—1181no—
1865C22—1181no—
1866C22—1181no—
1867C22—1181no—
1868C22—1181no—
1869C22—1181no—
1870C22—9442no—
1871C22—9442no—
1872C22—9442no—
1873C22—9442no—
1874C22—4724no—
1875C22—2361no—
1876C22—2361no—
1877C22—2361no—
1878C22—2361no—
1879C22—2361no—
1880C22—2361no—
1881C22—2361no—
1882C22—2361no—
1883C22C22×D4×D5911yescharacteristic
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—21no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—1181no—
1894C4—1181no—
1895C4—1181no—
1896C4—1181no—
1897C4—1181no—
1898C4—2361no—
1899C4—2361no—
1900C4—2361no—
1901C4—2361no—
1902C4—2361no—
1903C4H(5,𝔽2)×D5911yescharacteristic
1904C4C2×#1427377311yescharacteristic
1905C2—41no—
1906C2—41no—
1907C2—42no—
1908C2—81no—
1909C2—81no—
1910C2—4721no—
1911C2—4721no—
1912C2—2361no—
1913C2—2361no—
1914C2—2361no—
1915C2—2362no—
1916C2#2143772611yescharacteristic
1917C2#2143886911yescharacteristic
1918C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3322C2
socleC22×C59C23×D4
hypercenter#3322D59
hypocenterC59#61678
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. #21438522C2semidirect
2. #21437856C2semidirect
3. #21436311C2semidirect
4. #21436238C2semidirect
5. #21436193C2semidirect
6. #21436115C2semidirect
7. #21436070C2semidirect
8. #21435940C2semidirect
9. #21435928C2semidirect
10. #21435799C2semidirect
11. #21435776C2semidirect
12. #21435732C2semidirect
13. #21435706C2semidirect
14. #21435658C2semidirect
15. #21435614C2semidirect
16. #21435595C2semidirect
17. #21435583C2semidirect
18. #21435132C2semidirect
19. #21435073C2semidirect
20. #21435007C2semidirect
21. #21434996C2semidirect
22. #21434984C2semidirect
23. #21434949C2semidirect
24. #21434239C2semidirect
25. #21434141C2semidirect
26. #21433402C2semidirect
27. #21433398C2semidirect
28. #21433374C2semidirect
29. #21433359C2semidirect
30. #21433173C2semidirect
31. C59×#3322C2semidirect
32. C2×#14273773C22semidirect
34. C2×#14273760C22semidirect
35. C2×#14273755C22semidirect
36. C2×#14273751C22semidirect
37. C2×#14273751C22semidirect
38. C2×#14273748C22semidirect
39. C2×#14273747C22semidirect
40. C22×#11745670C22semidirect
41. C2×D8×D59C22semidirect
45. #16838096C22semidirect
46. #16838090C22semidirect
47. #16838087C22semidirect
49. #16838061C22semidirect
50. #16838058C22semidirect
51. #16838054C22semidirect
54. #16838049C22semidirect
55. #16838048C22semidirect
57. #16838047C22semidirect
62. D4×C22⋊D59C22semidirect
68. #16837983C22semidirect
70. #16837981C22semidirect
71. #16837981C22semidirect
72. #16837978C22semidirect
73. #16837968C22semidirect
76. #16837951C22semidirect
78. #16837937C22semidirect
79. #16837934C22semidirect
82. C4×D4×D59C22semidirect
83. #16837793C22semidirect
84. #16837790C22semidirect
85. #16837786C22semidirect
86. #16837784C22semidirect
87. #16837769C22semidirect
88. #16837765C22semidirect
89. #16837759C22semidirect
90. #16837741C22semidirect
91. #16837739C22semidirect
92. #16837737C22semidirect
93. #16837734C22semidirect
94. #16837734C22semidirect
95. #16837729C22semidirect
96. #16837726C22semidirect
97. #16837719C22semidirect
98. #16837719C22semidirect
99. #16837717C22semidirect
100. #16837705C22semidirect
101. #16837704C22semidirect
102. #16837699C22semidirect
103. #16837660C22semidirect
104. #16837659C22semidirect
105. #16837655C22semidirect
106. #16837649C22semidirect
107. #16837649C22semidirect
108. #16837647C22semidirect
109. #16837644C22semidirect
110. #16837642C22semidirect
111. #16837637C22semidirect
112. #16837636C22semidirect
113. #16837633C22semidirect
114. #16837632C22semidirect
115. #16837629C22semidirect
116. #16837629C22semidirect
117. #16837625C22semidirect
118. #16837621C22semidirect
119. #16837618C22semidirect
120. #16837617C22semidirect
121. #16837617C22semidirect
122. #16837616C22semidirect
123. #16837615C22semidirect
124. #16837611C22semidirect
125. #16837606C22semidirect
126. #16837601C22semidirect
127. #16837596C22semidirect
128. #16837567C22semidirect
129. #16837567C22semidirect
130. #16837567C22semidirect
131. #16837566C22semidirect
132. #16837565C22semidirect
133. #16837565C22semidirect
134. #16837565C22semidirect
135. #16837565C22semidirect
136. #16837565C22semidirect
137. #16837564C22semidirect
138. #16837557C22semidirect
139. #16837555C22semidirect
140. #16837554C22semidirect
141. #16837554C22semidirect
142. #16837554C22semidirect
143. #16837554C22semidirect
144. #16837554C22semidirect
145. #16837551C22semidirect
146. #16837550C22semidirect
147. #16837550C22semidirect
148. #16837549C22semidirect
149. #16837548C22semidirect
150. #16837546C22semidirect
151. #16837545C22semidirect
152. #16837545C22semidirect
153. #16837544C22semidirect
154. #16837544C22semidirect
155. #16837543C22semidirect
157. #16837537C22semidirect
158. #16837537C22semidirect
159. #16837536C22semidirect
160. #16837535C22semidirect
162. #16837513C22semidirect
163. #16837511C22semidirect
164. #16837501C22semidirect
165. #16837499C22semidirect
166. C4×#11745660C22semidirect
167. C4×#11745670C22semidirect
168. C4×#11745669C22semidirect
169. #16837481C22semidirect
170. #16837471C22semidirect
171. #16837471C22semidirect
172. #16837470C22semidirect
173. #16837470C22semidirect
174. D4×C59⋊C8C22semidirect
175. #16837467C22semidirect
176. #16837458C22semidirect
177. #16837453C22semidirect
178. #16837405C22semidirect
179. #16837402C22semidirect
180. #16837396C22semidirect
181. #16837395C22semidirect
182. C2×#14273647C22semidirect
183. #102×D59C22semidirect
184. #16837370C22semidirect
185. #16837370C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
188. C59×#553C22semidirect
189. C59×#546C22semidirect
190. C59×#488C22semidirect
191. C59×#485C22semidirect
192. C59×#480C22semidirect
193. C59×#478C22semidirect
194. C59×#469C22semidirect
195. C59×#468C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
198. C59×#447C22semidirect
199. C4×D8×C59C22semidirect
200. C59×#436C22semidirect
201. C59×#418C22semidirect
202. C59×#417C22semidirect
949. #3322D59semidirect
1005. #553C2×D59semidirect
1021. #546C2×D59semidirect
1051. #488C2×D59semidirect
1053. #485C2×D59semidirect
1063. #480C2×D59semidirect
1067. #478C2×D59semidirect
1071. #469C2×D59semidirect
1075. #468C2×D59semidirect
1091. #463C2×D59semidirect
1123. #449C2×D59semidirect
1131. #447C2×D59semidirect
1139. C4×D8C2×D59semidirect
1141. #436C2×D59semidirect
1151. #418C2×D59semidirect
1153. #417C2×D59semidirect
1162. C59#61678semidirect

Maximal subgroups

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

subgroupindex
#214385222
#214378562
#214363112
#214362382
#214361932
#214361152
#214360702
#214359402
#214359282
#214357992
#214357762
#214357322
#214357062
#214356582
#214356142
#214355952
#214355832
#214351322
#214350732
#214350072
#214349962
#214349842
#214349492
#214342392
#214341412
#214334022
#214333982
#214333742
#214333592
#214331732
C59×#33222
#6167859