Finite Group Databasebeta

← #29475931

Subgroups — #29475931

Order 15104.

2110 conjugacy classes of subgroups.

The subgroup lattice has 1918 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438462C211yesmaximal, characteristic, complemented
2#21437889C211yesmaximal, characteristic, complemented
3#21436354C211yesmaximal, characteristic, complemented
4#21436302C211yesmaximal, characteristic, complemented
5#21436159C211yesmaximal, characteristic, complemented
6#21436129C211yesmaximal, characteristic, complemented
7#21436084C211yesmaximal, characteristic, complemented
8#21436054C211yesmaximal, characteristic, complemented
9#21436003C211yesmaximal, characteristic, complemented
10#21435951C211yesmaximal, characteristic, complemented
11#21435805C211yesmaximal, characteristic, complemented
12#21435782C211yesmaximal, characteristic, complemented
13#21435729C211yesmaximal, characteristic, complemented
14#21435706C211yesmaximal, characteristic, complemented
15#21435676C211yesmaximal, characteristic, complemented
16#21435642C211yesmaximal, characteristic, complemented
17#21435586C211yesmaximal, characteristic, complemented
18#21435571C211yesmaximal, characteristic, complemented
19#21435079C211yesmaximal, characteristic, complemented
20#21435063C211yesmaximal, characteristic, complemented
21#21434976C211yesmaximal, characteristic, complemented
22#21434970C211yesmaximal, characteristic, complemented
23#21434960C211yesmaximal, characteristic, complemented
24#21434946C211yesmaximal, characteristic, complemented
25#21434205C211yesmaximal, characteristic, complemented
26#21433409C211yesmaximal, characteristic, complemented
27#21433398C211yesmaximal, characteristic, complemented
28#21433379C211yesmaximal, characteristic, complemented
29#21433361C211yesmaximal, characteristic, complemented
30#21433171C211yesmaximal, characteristic, complemented
31C59×#3106C211yesmaximal, characteristic, complemented
32C2×#14273774C2211yescharacteristic, complemented
33C2×#14273773C2211yescharacteristic, complemented
34C2×#14273756C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic
36C2×#14273751C2211yescharacteristic, complemented
37C2×#14273751C2211yescharacteristic, complemented
38C2×#14273748C2211yescharacteristic, complemented
39C2×#14273746C2211yescharacteristic, complemented
40C2×SD16×D59C2211yescharacteristic, complemented
41C2×D8×D59C2211yescharacteristic
42#16838140—21no—
43#16838140—21no—
44#16838126C2211yescharacteristic, complemented
45#16838102C2211yescharacteristic, complemented
46#16838102C2211yescharacteristic, complemented
47#16838072C2211yescharacteristic, complemented
48#16838071—21no—
49#16838064C2211yescharacteristic
50#16838064C2211yescharacteristic, complemented
51#16838064C2211yescharacteristic, complemented
52#16838064C2211yescharacteristic, complemented
53#16838055C2211yescharacteristic, complemented
54#16838047—21no—
55#16838047—21no—
56#16838047—21no—
57#16838047—21no—
58#16838047C2211yescharacteristic
59#16838047C2211yescharacteristic, complemented
60#16838047C2211yescharacteristic, complemented
61#16838047C2211yescharacteristic, complemented
62#16838047C2211yescharacteristic, complemented
63#16838047C2211yescharacteristic, complemented
64#16838040—21no—
65#16838037C2211yescharacteristic, complemented
66#16838021—21no—
67#16837985—21no—
68#16837985—21no—
69#16837981C2211yescharacteristic
70#16837981C2211yescharacteristic, complemented
71#16837978—21no—
72#16837978C2211yescharacteristic, complemented
73#16837971—21no—
74#16837971C2211yescharacteristic, complemented
75#16837970—21no—
76#16837968C2211yescharacteristic
77#16837968C2211yescharacteristic, complemented
78#16837952—21no—
79#16837952C2211yescharacteristic
80#16837936C2211yescharacteristic, complemented
81C2×#14273715—21no—
82C2×#14273715C2211yescharacteristic, complemented
83#16837789C2211yescharacteristic, complemented
84#16837789C2211yescharacteristic, complemented
85#16837786C2211yescharacteristic, complemented
86#16837786C2211yescharacteristic, complemented
87#16837764C2211yescharacteristic, complemented
88#16837764C2211yescharacteristic, complemented
89#16837757C2211yescharacteristic, complemented
90#16837757C2211yescharacteristic, complemented
91#16837746C2211yescharacteristic, complemented
92#16837745C2211yescharacteristic, complemented
93#16837743C2211yescharacteristic, complemented
94#16837739C2211yescharacteristic, complemented
95#16837734C2211yescharacteristic, complemented
96#16837729C2211yescharacteristic, complemented
97#16837728C2211yescharacteristic, complemented
98#16837726C2211yescharacteristic, complemented
99#16837722C2211yescharacteristic, complemented
100#16837717C2211yescharacteristic, complemented
101#16837709C2211yescharacteristic, complemented
102#16837702C2211yescharacteristic, complemented
103#16837661C2211yescharacteristic, complemented
104#16837656C2211yescharacteristic, complemented
105#16837654C2211yescharacteristic, complemented
106#16837654C2211yescharacteristic, complemented
107#16837649C2211yescharacteristic, complemented
108#16837649C2211yescharacteristic, complemented
109#16837647C2211yescharacteristic, complemented
110#16837647C2211yescharacteristic, complemented
111#16837644C2211yescharacteristic, complemented
112#16837639C2211yescharacteristic, complemented
113#16837637C2211yescharacteristic, complemented
114#16837637C2211yescharacteristic, complemented
115#16837632C2211yescharacteristic, complemented
116#16837632C2211yescharacteristic, complemented
117#16837630C2211yescharacteristic, complemented
118#16837630C2211yescharacteristic, complemented
119#16837625C2211yescharacteristic, complemented
120#16837625C2211yescharacteristic, complemented
121#16837624C2211yescharacteristic, complemented
122#16837618C2211yescharacteristic, complemented
123#16837618C2211yescharacteristic, complemented
124#16837617C2211yescharacteristic, complemented
125#16837617C2211yescharacteristic, complemented
126#16837617C2211yescharacteristic, complemented
127#16837617C2211yescharacteristic, complemented
128#16837617C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837565C2211yescharacteristic, complemented
131#16837565C2211yescharacteristic, complemented
132#16837565C2211yescharacteristic, complemented
133#16837564C2211yescharacteristic, complemented
134#16837560C2211yescharacteristic, complemented
135#16837559C2211yescharacteristic, complemented
136#16837555C2211yescharacteristic, complemented
137#16837554C2211yescharacteristic, complemented
138#16837554C2211yescharacteristic, complemented
139#16837554C2211yescharacteristic, complemented
140#16837550C2211yescharacteristic
141#16837548C2211yescharacteristic, complemented
142#16837548C2211yescharacteristic, complemented
143#16837548C2211yescharacteristic, complemented
144#16837547C2211yescharacteristic
145#16837546C2211yescharacteristic
146#16837546C2211yescharacteristic, complemented
147#16837544C2211yescharacteristic, complemented
148#16837544C2211yescharacteristic, complemented
149#16837543C2211yescharacteristic, complemented
150#16837542C2211yescharacteristic, complemented
151#16837540C2211yescharacteristic, complemented
152#16837540C2211yescharacteristic, complemented
153#16837539C2211yescharacteristic, complemented
154#16837539C2211yescharacteristic, complemented
155#16837538C2211yescharacteristic
156#16837537C2211yescharacteristic
157#16837537C2211yescharacteristic, complemented
158#16837537C2211yescharacteristic, complemented
159#16837535C2211yescharacteristic, complemented
160#16837535C2211yescharacteristic, complemented
161#16837534C2211yescharacteristic
162#16837534C2211yescharacteristic, complemented
163#16837512C2211yescharacteristic, complemented
164#16837507C2211yescharacteristic, complemented
165#16837502C2211yescharacteristic, complemented
166#16837500C2211yescharacteristic, complemented
167#16837481C2211yescharacteristic, complemented
168#16837481C2211yescharacteristic, complemented
169#16837472C2211yescharacteristic, complemented
170#16837472C2211yescharacteristic, complemented
171#16837472C2211yescharacteristic, complemented
172#16837472C2211yescharacteristic, complemented
173C8×D236C2211yescharacteristic, complemented
174C8×D236C2211yescharacteristic, complemented
175#16837459C2211yescharacteristic, complemented
176#16837409C2211yescharacteristic, complemented
177#16837405C2211yescharacteristic, complemented
178#16837402C2211yescharacteristic, complemented
179#16837400C2211yescharacteristic, complemented
180#16837397C2211yescharacteristic, complemented
181#16837395C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837367C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C59×#532C2211yescharacteristic, complemented
189C4×#41×C59C2211yescharacteristic, complemented
190C59×#482C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#477C2211yescharacteristic, complemented
193C59×#476C2211yescharacteristic, complemented
194C59×#460C2211yescharacteristic, complemented
195C59×#459C2211yescharacteristic, complemented
196C59×#449C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C4×SD16×C59C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C4×D8×C59C2211yescharacteristic, complemented
201C4×D8×C59C2211yescharacteristic, complemented
202C59×#431C2211yescharacteristic, complemented
203#14273774—42no—
204#14273774—42no—
205#14273773—42no—
206#14273773—42no—
207C2×#11745689—21no—
208C2×#11745689C2311yescharacteristic
209C2×#11745689C2311yescharacteristic
210C2×#11745685—21no—
211C2×#11745685—21no—
212C2×#11745685C2311yescharacteristic
213C2×#11745685C2311yescharacteristic
214C2×#11745687—21no—
215C2×#11745687—21no—
216C2×#11745687C2311yescharacteristic
217C2×#11745687C2311yescharacteristic
218C2×#11745687C2311yescharacteristic
219C2×#11745687C2311yescharacteristic
220C22×Dic118—21no—
221C22×Dic118C2311yescharacteristic
222C2×Q8×D59C2311yescharacteristic
223C2×Q8×D59C2311yescharacteristic
224C22×D236—21no—
225C22×D236C2311yescharacteristic
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59C2311yescharacteristic
230C2×D4×D59C2311yescharacteristic
231C2×D4×D59C2311yescharacteristic
232C2×D4×D59C2311yescharacteristic
233#14273756—42no—
234#14273754—42no—
235#14273751—42no—
236#14273751—42no—
237#14273748—42no—
238#14273746—42no—
239C2×Dic236C2311yescharacteristic
240C2×Dic236C2311yescharacteristic
241C2×#11745672C2311yescharacteristic
242C2×#11745660C2311yescharacteristic
243C2×#11745660C2311yescharacteristic
244C2×#11745660C2311yescharacteristic
245C2×#11745660C2311yescharacteristic
246C2×#11745670C2311yescharacteristic
247C2×#11745670C2311yescharacteristic
248C2×#11745670C2311yescharacteristic
249C2×#11745670C2311yescharacteristic
250C2×#11745670C2311yescharacteristic
251C2×#11745671C2311yescharacteristic
252SD16×D59—42no—
253C2×D472C2311yescharacteristic
254C2×D472C2311yescharacteristic
255C2×#11745669C2311yescharacteristic
256C2×#11745669C2311yescharacteristic
257C2×#11745669C2311yescharacteristic
258C2×#11745669C2311yescharacteristic
259C2×#11745669C2311yescharacteristic
260D8×D59—42no—
261C2×#11745659C2311yescharacteristic
262C2×#11745659C2311yescharacteristic
263C2×#11745659C2311yescharacteristic
264C2×#11745659C2311yescharacteristic
265C2×C8×D59C2311yescharacteristic
266C2×C8×D59C2311yescharacteristic
267C2×C8×D59C2311yescharacteristic
268C2×C8×D59C2311yescharacteristic
269#14273727—21no—
270#14273727D411yescharacteristic
271#14273724—21no—
272#14273724D411yescharacteristic
273#14273723—21no—
274#14273723—21no—
275#14273723—21no—
276#14273722—21no—
277#14273722—21no—
278#14273721—21no—
279#14273720—21no—
280#14273720—21no—
281#14273719C2311yescharacteristic
282#14273716—21no—
283#14273715—21no—
284#14273715—21no—
285#14273715—21no—
286#14273715—21no—
287#14273715—21no—
288#14273715—21no—
289#14273715—21no—
290#14273715—21no—
291#14273715D411yescharacteristic
292#14273715D411yescharacteristic
293#14273715C2311yescharacteristic
294#14273715C2311yescharacteristic
295#14273715C2311yescharacteristic
296#14273715C2311yescharacteristic
297#14273715C2311yescharacteristic
298#14273713—21no—
299#14273713—21no—
300#14273712—21no—
301#14273712—21no—
302#14273711—21no—
303#14273711—21no—
304#14273711—21no—
305#14273711—21no—
306#14273711—21no—
307#14273711—21no—
308#14273711—21no—
309#14273711—21no—
310#14273710—21no—
311#14273710—21no—
312#14273710—21no—
313#14273707—21no—
314#14273707—21no—
315#14273707—21no—
316#14273707—21no—
317#14273707C2311yescharacteristic
318#14273707C2311yescharacteristic
319#14273707C2311yescharacteristic
320#14273707C2311yescharacteristic
321#14273707C2311yescharacteristic
322#14273707C2311yescharacteristic
323#14273706C2311yescharacteristic
324#14273704—21no—
325#14273704—21no—
326#14273703—21no—
327#14273702—21no—
328#14273702—21no—
329#14273702—21no—
330#14273702—21no—
331#14273702C2311yescharacteristic
332#14273702C2311yescharacteristic
333#14273702C2311yescharacteristic
334#14273702C2311yescharacteristic
335#14273702C2311yescharacteristic
336#14273702C2311yescharacteristic
337#14273701—21no—
338#14273701—21no—
339#14273701—21no—
340#14273701—21no—
341#14273701—21no—
342#14273701—21no—
343#14273701D411yescharacteristic
344#14273701D411yescharacteristic
345#14273701D411yescharacteristic
346#14273701D411yescharacteristic
347#14273701C2311yescharacteristic
348#14273700—21no—
349#14273700—21no—
350#14273700—21no—
351#14273700—21no—
352#14273699—21no—
353#14273699—21no—
354#14273699—21no—
355#14273699—21no—
356#14273698—21no—
357#14273698—21no—
358#14273698—21no—
359#14273698C2311yescharacteristic
360#14273698C2311yescharacteristic
361#14273698C2311yescharacteristic
362#14273698C2311yescharacteristic
363#14273697—21no—
364#14273697—21no—
365#14273697—21no—
366#14273697—21no—
367#14273697—21no—
368#14273697—21no—
369#14273697—21no—
370#14273697—21no—
371#14273697—21no—
372#14273697—21no—
373#14273695—21no—
374#14273695—21no—
375#14273695—21no—
376#14273695—21no—
377Q8×Dic59—21no—
378C4×Dic118C2311yescharacteristic
379C4×D236—21no—
380C4×D236—21no—
381C4×D236—21no—
382C4×D236—21no—
383C4×D236C2311yescharacteristic
384C4×D236C2311yescharacteristic
385C4×D236C2311yescharacteristic
386C4×D236C2311yescharacteristic
387C4×D236C2311yescharacteristic
388D4×Dic59—21no—
389C4×C22⋊D59—21no—
390C4×C22⋊D59—21no—
391C4×C22⋊D59—21no—
392#14273685C2311yescharacteristic
393#14273685C2311yescharacteristic
394#14273684—21no—
395C4⋊C4×D59C2311yescharacteristic
396C4⋊C4×D59C2311yescharacteristic
397C2×(C2×D59)⋊C4—21no—
398C2×(C2×D59)⋊C4—21no—
399C2×(C2×D59)⋊C4—21no—
400C2×(C2×D59)⋊C4—21no—
401C2×(C2×D59)⋊C4—21no—
402C2×(C2×D59)⋊C4—21no—
403C2×(C2×D59)⋊C4—21no—
404C2×(C2×D59)⋊C4—21no—
405#14273660C2311yescharacteristic
406#14273660C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410C4⋊(C59⋊C8)C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273650C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273649C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
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(C2×D59)⋊C8C2311yescharacteristic
445#14273638C2311yescharacteristic
446#14273638C2311yescharacteristic
447C2×#41×C59—21no—
448C2×#41×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×D8×C59C2311yescharacteristic
453C4⋊Q8×C59C2311yescharacteristic
454#127×C59C2311yescharacteristic
455#124×C59—21no—
456#121×C59—21no—
457#121×C59C2311yescharacteristic
458#121×C59C2311yescharacteristic
459C4×Q8×C59C2311yescharacteristic
460C4×Q8×C59C2311yescharacteristic
461C4×D4×C59—21no—
462C4×D4×C59—21no—
463C4×D4×C59—21no—
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468#117×C59—21no—
469#117×C59C2311yescharacteristic
470C2×C42×C59—21no—
471C2×C42×C59C2311yescharacteristic
472#107×C59C2311yescharacteristic
473#107×C59C2311yescharacteristic
474#106×C59C2311yescharacteristic
475#106×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477C4⋊C8×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C4×C8×C59C2311yescharacteristic
489C4×C8×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495#41×C59—22no—
496#41×C59—22no—
497#41×C59—82no—
498C2×Q8×C59—21no—
499C2×Q8×C59C2411yescharacteristic
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59C2411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59C2×D411yescharacteristic
514C22×C4×C59C2×D411yescharacteristic
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⋊D59C2×D411yescharacteristic
530C2×C22⋊D59C2×D411yescharacteristic
531C2×C22⋊D59C2×D411yescharacteristic
532C2×C22⋊D59C2×D411yescharacteristic
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59—21no—
536C22×Dic59—21no—
537C22×Dic59—21no—
538#11745689—22no—
539#11745689—22no—
540#11745689—41no—
541#11745689—41no—
542#11745689—82no—
543Q8×D59—22no—
544Q8×D59—22no—
545Q8×D59—41no—
546Q8×D59—41no—
547#11745687—22no—
548#11745687—22no—
549#11745687—41no—
550#11745687—41no—
551#11745687—41no—
552#11745687—41no—
553#11745687—41no—
554#11745687—41no—
555#11745687—44no—
556#11745687—44no—
557D4×D59—22no—
558D4×D59—22no—
559D4×D59—41no—
560D4×D59—41no—
561D4×D59—41no—
562D4×D59—41no—
563D4×D59—41no—
564D4×D59—41no—
565D4×D59—44no—
566D4×D59—44no—
567D4×D59—82no—
568#11745685—41no—
569#11745685—41no—
570#11745685—41no—
571#11745685—41no—
572#11745685—44no—
573#11745685—44no—
574C2×D236—21no—
575C2×D236—21no—
576C2×D236—21no—
577C2×D236—21no—
578C2×D236—21no—
579C2×D236—21no—
580C2×D236—21no—
581C2×D236—21no—
582C2×D236—21no—
583C2×D236—41no—
584C2×D236—41no—
585C2×D236—44no—
586C2×D236C2×D411yescharacteristic
587C2×D236C2×D411yescharacteristic
588C2×D236C2×D411yescharacteristic
589C2×D236C2×D411yescharacteristic
590C2×D236C2×D411yescharacteristic
591C2×D236C2×D411yescharacteristic
592C2×D236C2411yescharacteristic
593C2×D236C2411yescharacteristic
594C2×D236C2411yescharacteristic
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—21no—
602C2×C4×D59C2411yescharacteristic
603C2×C4×D59C2411yescharacteristic
604C2×C4×D59C2411yescharacteristic
605C2×C4×D59C2411yescharacteristic
606C2×Dic118—21no—
607C2×Dic118—21no—
608C2×Dic118—21no—
609C2×Dic118—41no—
610C2×Dic118—41no—
611C2×Dic118—44no—
612C2×Dic118C2×D411yescharacteristic
613C2×Dic118C2×D411yescharacteristic
614C2×Dic118C2411yescharacteristic
615C2×Dic118C2411yescharacteristic
616C2×Dic118C2411yescharacteristic
617SD16×C59—22no—
618SD16×C59—22no—
619D8×C59—22no—
620D8×C59—22no—
621C2×C8×C59C2411yescharacteristic
622C2×C8×C59C2411yescharacteristic
623C2×C8×C59C2411yescharacteristic
624C2×C8×C59C2411yescharacteristic
625C4⋊C4×C59—21no—
626C4⋊C4×C59—21no—
627C4⋊C4×C59—21no—
628C4⋊C4×C59C2411yescharacteristic
629C4⋊C4×C59C2411yescharacteristic
630C4⋊C4×C59C2411yescharacteristic
631C4⋊C4×C59C2411yescharacteristic
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C22⋊C4×C59—21no—
638C22⋊C4×C59—21no—
639C42×C59—21no—
640C42×C59—21no—
641C42×C59—21no—
642C42×C59C2×D411yescharacteristic
643C42×C59C2×D411yescharacteristic
644C42×C59C2411yescharacteristic
645C42×C59C2411yescharacteristic
646C22⋊Dic59—21no—
647C22⋊Dic59—21no—
648C22⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59—21no—
651#11745672—22no—
652#11745671—22no—
653#11745670—22no—
654#11745670—41no—
655#11745670—41no—
656#11745670—41no—
657#11745670—41no—
658#11745669—22no—
659#11745669—41no—
660#11745669—41no—
661#11745669—41no—
662#11745669—41no—
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)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4C2×D411yescharacteristic
690(C2×D59)⋊C4C2×D411yescharacteristic
691(C2×D59)⋊C4C2×D411yescharacteristic
692(C2×D59)⋊C4C2×D411yescharacteristic
693(C2×D59)⋊C4C2×D411yescharacteristic
694(C2×D59)⋊C4C2×D411yescharacteristic
695(C2×D59)⋊C4C2×D411yescharacteristic
696(C2×D59)⋊C4C2×D411yescharacteristic
697C4⋊Dic59—21no—
698C4⋊Dic59—21no—
699C4⋊Dic59—21no—
700C4⋊Dic59—21no—
701C4⋊Dic59—21no—
702C4⋊Dic59—21no—
703C4⋊Dic59C2×D411yescharacteristic
704C4⋊Dic59C2×D411yescharacteristic
705C4⋊Dic59C2×D411yescharacteristic
706C4⋊Dic59C2×D411yescharacteristic
707C4⋊Dic59C2411yescharacteristic
708C4⋊Dic59C2411yescharacteristic
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715C4×Dic59—21no—
716C4×Dic59—21no—
717C4×Dic59—21no—
718C2×C59⋊C8C2411yescharacteristic
719C2×C59⋊C8C2411yescharacteristic
720C2×C59⋊C8C2411yescharacteristic
721C2×C59⋊C8C2411yescharacteristic
722Dic236—41no—
723Dic236—41no—
724D472—41no—
725D472—41no—
726#11745660—41no—
727#11745660—41no—
728#11745660—41no—
729#11745660—41no—
730#11745659—41no—
731#11745659—41no—
732#11745659—41no—
733#11745659—41no—
734C8×D59—41no—
735C8×D59—41no—
736C8×D59—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59—21no—
740C23×C59—21no—
741C23×C59C22×D411yescharacteristic
742C22×D59—21no—
743C22×D59—21no—
744C22×D59—21no—
745C22×D59—42no—
746C22×D59—42no—
747C22×D59—42no—
748C22×D59—81no—
749C22×D59—81no—
750C22×D59—81no—
751C22×D59—81no—
752C22×D59—81no—
753C22×D59—81no—
754C22×D59—81no—
755C22×D59—81no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59C22×D411yescharacteristic
761C22×D59C22×D411yescharacteristic
762C22×D59C22×D411yescharacteristic
763C22×D59C22×D411yescharacteristic
764Q8×C59—21no—
765Q8×C59—42no—
766Q8×C59H(5,𝔽2)12yes—
767D4×C59—24no—
768D4×C59—21no—
769D4×C59—21no—
770D4×C59—21no—
771D4×C59—21no—
772D4×C59—21no—
773D4×C59—42no—
774D4×C59—81no—
775D4×C59—81no—
776D4×C59—81no—
777D4×C59H(5,𝔽2)12yes—
778C2×C4×C59—24no—
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—41no—
787C2×C4×C59—41no—
788C2×C4×C59—81no—
789C2×C4×C59—81no—
790C2×C4×C59—81no—
791C2×C4×C59—81no—
792C2×C4×C59C22×D411yescharacteristic
793C2×C4×C59C22×D411yescharacteristic
794C2×C4×C59C22×D411yescharacteristic
795C2×C4×C59C22×D411yescharacteristic
796C2×C4×C59C22×D411yescharacteristic
797C2×C4×C59C2511yescharacteristic
798C22⋊D59—41no—
799C22⋊D59—41no—
800C22⋊D59—41no—
801C22⋊D59—41no—
802C22⋊D59—42no—
803C22⋊D59—42no—
804C22⋊D59—42no—
805C22⋊D59—42no—
806C22⋊D59—81no—
807C22⋊D59—81no—
808C22⋊D59—81no—
809C22⋊D59—81no—
810C22⋊D59—81no—
811C22⋊D59—81no—
812C22⋊D59—81no—
813C22⋊D59—81no—
814C22⋊D59—81no—
815C2×Dic59—21no—
816C2×Dic59—21no—
817C2×Dic59—21no—
818C2×Dic59—21no—
819C2×Dic59—21no—
820C2×Dic59—42no—
821C2×Dic59—42no—
822C2×Dic59—42no—
823C2×Dic59—81no—
824C2×Dic59—81no—
825C2×Dic59C22×D411yescharacteristic
826C2×Dic59C22×D411yescharacteristic
827C2×Dic59C22×D411yescharacteristic
828C2×Dic59C22×D411yescharacteristic
829D236—21no—
830D236—21no—
831D236—21no—
832D236—21no—
833D236—21no—
834D236—21no—
835D236—41no—
836D236—41no—
837D236—41no—
838D236—41no—
839D236—41no—
840D236—41no—
841D236—42no—
842D236—42no—
843D236—42no—
844D236—81no—
845D236—81no—
846D236—81no—
847D236—81no—
848D236—81no—
849D236—81no—
850C4×D59—21no—
851C4×D59—21no—
852C4×D59—21no—
853C4×D59—21no—
854C4×D59—21no—
855C4×D59—21no—
856C4×D59—21no—
857C4×D59—21no—
858C4×D59—42no—
859C4×D59—42no—
860C4×D59—42no—
861C4×D59—42no—
862C4×D59—42no—
863C4×D59—81no—
864C4×D59—81no—
865Dic118—21no—
866Dic118—21no—
867Dic118—21no—
868Dic118—21no—
869Dic118—21no—
870Dic118—21no—
871Dic118—41no—
872Dic118—41no—
873Dic118—42no—
874Dic118—42no—
875Dic118—42no—
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#61690—591nomaximal, Sylow
885C22×C59—21no—
886C22×C59—21no—
887C22×C59—21no—
888C22×C59—22no—
889C22×C59—41no—
890C22×C59—41no—
891C22×C59—41no—
892C22×C59—41no—
893C22×C59—41no—
894C22×C59—41no—
895C22×C59—41no—
896C22×C59—41no—
897C22×C59C23×D411yescharacteristic
898C2×D59—21no—
899C2×D59—21no—
900C2×D59—21no—
901C2×D59—21no—
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—41no—
911C2×D59—41no—
912C2×D59—41no—
913C2×D59—41no—
914C2×D59—41no—
915C2×D59—41no—
916C2×D59—41no—
917C2×D59—41no—
918C2×D59—41no—
919C2×D59—162no—
920C2×D59—162no—
921C2×D59—162no—
922C2×D59—162no—
923C2×D59—162no—
924C4×C59—21no—
925C4×C59—21no—
926C4×C59—21no—
927C4×C59—21no—
928C4×C59—21no—
929C4×C59—22no—
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—41no—
941Dic59—41no—
942Dic59—41no—
943Dic59—41no—
944Dic59—41no—
945#3546—591no—
946#3500—591no—
947#3326—591no—
948#3322—591no—
949#3313—591no—
950#3311—591no—
951#3308—591no—
952#3306—591no—
953#3301—591no—
954#3297—591no—
955#3282—591no—
956#3280—591no—
957#3275—591no—
958#3273—591no—
959#3271—591no—
960#3268—591no—
961#3265—591no—
962#3264—591no—
963#3213—591no—
964#3211—591no—
965#3201—591no—
966#3200—591no—
967#3199—591no—
968#3198—591no—
969#3111—591no—
970#3106D5911yescharacteristic, complemented
971#3013—591no—
972#3012—591no—
973#3010—591no—
974#3008—591no—
975#2981—591no—
976C2×C59—41no—
977C2×C59—42no—
978C2×C59—81no—
979C2×C59—81no—
980C2×C59#348411yescharacteristic
981C2×C59#358411yescharacteristic
982C2×C59#358511yescharacteristic
983D59—41no—
984D59—41no—
985D59—41no—
986D59—41no—
987D59—81no—
988D59—81no—
989D59—81no—
990C2×2−1+4—591no—
991C2×H(5,𝔽2)—591no—
992C2×#137—591no—
993C2×AGL(1,ℤ/8)—591no—
994C2×AGL(1,ℤ/8)—591no—
995C2×AGL(1,ℤ/8)—591no—
996C2×#135—591no—
997C2×#135—591no—
998C22×SD16—591no—
999C22×D8—591no—
1000#560—1181no—
1001#560—1181no—
1002#556—591no—
1003#553—591no—
1004#553—591no—
1005#550—591no—
1006#550—1181no—
1007#548—591no—
1008#548—591no—
1009#548—591no—
1010#548—591no—
1011#547—591no—
1012#546—591no—
1013#546—591no—
1014#546—591no—
1015#546—591no—
1016#546—591no—
1017#546—591no—
1018#546—1181no—
1019#546—1181no—
1020#546—1181no—
1021#546—1181no—
1022#546—1181no—
1023D42—591no—
1024#542—1181no—
1025#538—1181no—
1026#538—1181no—
1027#537—591no—
1028#537—591no—
1029#536—591no—
1030#536—1181no—
1031#535—591no—
1032#535—591no—
1033#535—591no—
1034#535—1181no—
1035#535—1181no—
1036#532—591no—
1037#532—1181no—
1038#532C2×D5911yescharacteristic, complemented
1039#529—591no—
1040C2×#124—591no—
1041C2×#124—1181no—
1042C4×#41C2×D5911yescharacteristic, complemented
1043#496—591no—
1044#496—591no—
1045#495—591no—
1046#495—591no—
1047#489—591no—
1048#489—591no—
1049#488—591no—
1050#488—591no—
1051#485—591no—
1052#485—591no—
1053#485—591no—
1054#484—591no—
1055#483—591no—
1056#482—591no—
1057#482—591no—
1058#482—591no—
1059#482C2×D5911yescharacteristic, complemented
1060#482C2×D5911yescharacteristic, complemented
1061#481—591no—
1062#480—591no—
1063#479—591no—
1064#478—591no—
1065#477C2×D5911yescharacteristic, complemented
1066#476C2×D5911yescharacteristic, complemented
1067#470—591no—
1068#469—591no—
1069#469—591no—
1070#469—591no—
1071#468—591no—
1072#468—591no—
1073#468—591no—
1074#468—591no—
1075#467—591no—
1076#466—591no—
1077#466—591no—
1078#466—591no—
1079#465—591no—
1080#465—591no—
1081#465—591no—
1082#465—591no—
1083#464—591no—
1084#464—591no—
1085#464—591no—
1086#463—591no—
1087#463—591no—
1088#463—591no—
1089#463—591no—
1090#463—591no—
1091#463—591no—
1092#463—591no—
1093#460C2×D5911yescharacteristic, complemented
1094#459C2×D5911yescharacteristic, complemented
1095#452—591no—
1096#452—591no—
1097#452—591no—
1098#452—591no—
1099#452—591no—
1100#451—591no—
1101#451—591no—
1102#450—591no—
1103#450—591no—
1104#450—591no—
1105#450—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#449C2×D5911yescharacteristic, complemented
1116#449C2×D5911yescharacteristic, complemented
1117#448—591no—
1118#448—591no—
1119#448—591no—
1120#448—591no—
1121#448—591no—
1122#448—591no—
1123#447—591no—
1124#447—591no—
1125#447—591no—
1126#447—591no—
1127#447—591no—
1128#447—591no—
1129#447—591no—
1130#447—591no—
1131#442—591no—
1132#441—591no—
1133#440—591no—
1134#440—591no—
1135C4×SD16C2×D5911yescharacteristic, complemented
1136C4×SD16C2×D5911yescharacteristic, complemented
1137C4×D8C2×D5911yescharacteristic, complemented
1138C4×D8C2×D5911yescharacteristic, complemented
1139#436—591no—
1140#436—591no—
1141#435—591no—
1142#435—591no—
1143#435—591no—
1144#435—591no—
1145C8×D4—591no—
1146C8×D4—591no—
1147#432—591no—
1148#431C2×D5911yescharacteristic, complemented
1149#419—591no—
1150#418—591no—
1151#417—591no—
1152#417—591no—
1153#416—591no—
1154#416—591no—
1155C2×#103—591no—
1156C2×#102—591no—
1157#408—591no—
1158#408—591no—
1159#408—591no—
1160#408—591no—
1161C59#6169011yescharacteristic, complemented, Sylow
11622−1+4—2362no—
11632−1+4—2362no—
1164H(5,𝔽2)—2362no—
1165H(5,𝔽2)—2362no—
1166C2×#41—21no—
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—1181no—
1176C2×#41—1181no—
1177C2×#41—1181no—
1178C2×#41—1181no—
1179C2×#41—1181no—
1180C2×#41C22×D5911yescharacteristic
1181C22×Q8—591no—
1182C22×Q8—591no—
1183C22×Q8—591no—
1184C22×Q8—1181no—
1185C22×D4—591no—
1186C22×D4—591no—
1187C22×D4—591no—
1188C22×D4—591no—
1189C22×D4—591no—
1190C22×D4—1181no—
1191C22×D4—1181no—
1192C22×D4—1181no—
1193C22×D4—1181no—
1194#137—2362no—
1195AGL(1,ℤ/8)—2362no—
1196AGL(1,ℤ/8)—2362no—
1197AGL(1,ℤ/8)—2362no—
1198#135—2362no—
1199#135—2362no—
1200C2×Q16—591no—
1201C2×Q16—591no—
1202C2×Q16—591no—
1203C2×SD16—591no—
1204C2×SD16—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—2362no—
1214C2×SD16C22×D5911yescharacteristic
1215C2×SD16C22×D5911yescharacteristic
1216C2×D8—591no—
1217C2×D8—591no—
1218C2×D8—591no—
1219C2×D8—591no—
1220C2×D8—591no—
1221C2×D8—591no—
1222C2×D8—591no—
1223C2×D8—2362no—
1224C2×D8C22×D5911yescharacteristic
1225C2×D8C22×D5911yescharacteristic
1226C2×M16—591no—
1227C2×M16—591no—
1228C2×M16—591no—
1229C2×M16—591no—
1230C22×C8—591no—
1231C22×C8—591no—
1232C22×C8—591no—
1233C22×C8—591no—
1234C4⋊Q8—591no—
1235C4⋊Q8—1181no—
1236C4⋊Q8C22×D5911yescharacteristic
1237#127—591no—
1238#127—1181no—
1239#127—1181no—
1240#127—1181no—
1241#127—1181no—
1242#127C22×D5911yescharacteristic
1243#126—1181no—
1244#126—1181no—
1245#126—1181no—
1246#126—1181no—
1247#126—1181no—
1248#125—591no—
1249#124—21no—
1250#124—591no—
1251#124—591no—
1252#124—591no—
1253#124—591no—
1254#124—591no—
1255#124—591no—
1256#124—591no—
1257#124—1181no—
1258#124—1181no—
1259#124—1181no—
1260#124—1181no—
1261#124—1181no—
1262#124—1181no—
1263#124—1181no—
1264#124—1181no—
1265#124—1181no—
1266#124—1181no—
1267#124—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—
1279#123—1181no—
1280#123—1181no—
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⋊Q8—1181no—
1295#121—21no—
1296#121—591no—
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—591no—
1309#121—591no—
1310#121—591no—
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#121C22×D5911yescharacteristic
1333#121C22×D5911yescharacteristic
1334#120—1181no—
1335#120—1181no—
1336#120—1181no—
1337#120—1181no—
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—
1348C4×Q8—591no—
1349C4×Q8—1181no—
1350C4×Q8C22×D5911yescharacteristic
1351C4×Q8C22×D5911yescharacteristic
1352C4×D4—21no—
1353C4×D4—21no—
1354C4×D4—21no—
1355C4×D4—591no—
1356C4×D4—591no—
1357C4×D4—591no—
1358C4×D4—591no—
1359C4×D4—591no—
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
1371C4×D4C22×D5911yescharacteristic
1372#117—21no—
1373#117—591no—
1374#117—591no—
1375#117—1181no—
1376#117C22×D5911yescharacteristic
1377C2×C4⋊C4—591no—
1378C2×C4⋊C4—591no—
1379C2×C22⋊C4—1181no—
1380C2×C22⋊C4—1181no—
1381C2×C22⋊C4—1181no—
1382C2×C22⋊C4—1181no—
1383C2×C22⋊C4—1181no—
1384C2×C22⋊C4—1181no—
1385C2×C22⋊C4—1181no—
1386C2×C22⋊C4—1181no—
1387C2×C42—21no—
1388C2×C42C22×D5911yescharacteristic
1389#107—591no—
1390#107—591no—
1391#107C22×D5911yescharacteristic
1392#107C22×D5911yescharacteristic
1393#106—591no—
1394#106—591no—
1395#106C22×D5911yescharacteristic
1396#106C22×D5911yescharacteristic
1397C4⋊C8—591no—
1398C4⋊C8—591no—
1399C4⋊C8C22×D5911yescharacteristic
1400C4⋊C8C22×D5911yescharacteristic
1401#103—591no—
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#103—591no—
1412#103—591no—
1413#103C22×D5911yescharacteristic
1414#103C22×D5911yescharacteristic
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
1433C22⋊C8—591no—
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⋊C8C22×D5911yescharacteristic
1444C22⋊C8C22×D5911yescharacteristic
1445#97—591no—
1446#97—591no—
1447C4×C8C22×D5911yescharacteristic
1448C4×C8C22×D5911yescharacteristic
1449C24—1181no—
1450C24—1181no—
1451C24—1181no—
1452C24—1181no—
1453C24—1181no—
1454#41—22no—
1455#41—22no—
1456#41—82no—
1457#41—1182no—
1458#41—1182no—
1459#41—1182no—
1460#41—1182no—
1461#41—4722no—
1462#41—2361no—
1463#41—2361no—
1464#41—2361no—
1465#41—2361no—
1466#41—2364no—
1467#41—2364no—
1468#41—2361no—
1469#41—2361no—
1470#41—2361no—
1471#41—2361no—
1472#41—2361no—
1473#41—2361no—
1474#41—2361no—
1475#41—2361no—
1476#41—2364no—
1477#41—2364no—
1478C2×Q8—21no—
1479C2×Q8—591no—
1480C2×Q8—591no—
1481C2×Q8—591no—
1482C2×Q8—591no—
1483C2×Q8—591no—
1484C2×Q8—1181no—
1485C2×Q8—1181no—
1486C2×Q8—1181no—
1487C2×Q8—1182no—
1488C2×Q8—1182no—
1489C2×Q8—2361no—
1490C2×Q8—2361no—
1491C2×Q8—2364no—
1492C2×Q8—2361no—
1493C2×Q8—2361no—
1494C2×Q8C23×D5911yescharacteristic
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—591no—
1501C2×D4—591no—
1502C2×D4—591no—
1503C2×D4—591no—
1504C2×D4—591no—
1505C2×D4—591no—
1506C2×D4—591no—
1507C2×D4—591no—
1508C2×D4—591no—
1509C2×D4—591no—
1510C2×D4—591no—
1511C2×D4—591no—
1512C2×D4—591no—
1513C2×D4—1181no—
1514C2×D4—1181no—
1515C2×D4—1181no—
1516C2×D4—1181no—
1517C2×D4—1181no—
1518C2×D4—1181no—
1519C2×D4—1181no—
1520C2×D4—1181no—
1521C2×D4—1181no—
1522C2×D4—1181no—
1523C2×D4—1181no—
1524C2×D4—1181no—
1525C2×D4—1182no—
1526C2×D4—1182no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—1181no—
1536C2×D4—1181no—
1537C2×D4—4722no—
1538C2×D4—2361no—
1539C2×D4—2361no—
1540C2×D4—2364no—
1541C2×D4—2361no—
1542C2×D4—2361no—
1543C2×D4—2361no—
1544C2×D4—2361no—
1545C2×D4—2361no—
1546C2×D4—2361no—
1547C2×D4—2364no—
1548C2×D4—2364no—
1549C2×D4C23×D5911yescharacteristic
1550C2×D4C23×D5911yescharacteristic
1551C2×D4C23×D5911yescharacteristic
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—21no—
1557C22×C4—591no—
1558C22×C4—591no—
1559C22×C4—591no—
1560C22×C4—591no—
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—1181no—
1573C22×C4D4×D5911yescharacteristic
1574C22×C4D4×D5911yescharacteristic
1575C22×C4C23×D5911yescharacteristic
1576Q16—1182no—
1577Q16—2361no—
1578Q16—2361no—
1579SD16—22no—
1580SD16—22no—
1581SD16—1182no—
1582SD16—1182no—
1583SD16—2361no—
1584SD16—2361no—
1585SD16—2361no—
1586SD16—2361no—
1587SD16—2361no—
1588SD16—2361no—
1589SD16—2361no—
1590SD16—2361no—
1591D8—22no—
1592D8—22no—
1593D8—1182no—
1594D8—2361no—
1595D8—2361no—
1596D8—2361no—
1597D8—2361no—
1598D8—2361no—
1599D8—2361no—
1600M16—2361no—
1601M16—2361no—
1602M16—2361no—
1603M16—2361no—
1604C2×C8—591no—
1605C2×C8—591no—
1606C2×C8—591no—
1607C2×C8—591no—
1608C2×C8—2361no—
1609C2×C8—2361no—
1610C2×C8—2361no—
1611C2×C8—2361no—
1612C2×C8C23×D5911yescharacteristic
1613C2×C8C23×D5911yescharacteristic
1614C2×C8C23×D5911yescharacteristic
1615C2×C8C23×D5911yescharacteristic
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—591no—
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⋊C4C23×D5911yescharacteristic
1638C4⋊C4C23×D5911yescharacteristic
1639C4⋊C4C23×D5911yescharacteristic
1640C4⋊C4C23×D5911yescharacteristic
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—591no—
1649C22⋊C4—591no—
1650C22⋊C4—591no—
1651C22⋊C4—591no—
1652C22⋊C4—591no—
1653C22⋊C4—591no—
1654C22⋊C4—591no—
1655C22⋊C4—591no—
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—
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—
1687C42—21no—
1688C42—21no—
1689C42—21no—
1690C42—1181no—
1691C42—1181no—
1692C42—1181no—
1693C42D4×D5911yescharacteristic
1694C42D4×D5911yescharacteristic
1695C42C23×D5911yescharacteristic
1696C42C23×D5911yescharacteristic
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—591no—
1701C23—591no—
1702C23—591no—
1703C23—591no—
1704C23—1181no—
1705C23—1181no—
1706C23—1181no—
1707C23—4721no—
1708C23—4721no—
1709C23—4721no—
1710C23—4721no—
1711C23—4721no—
1712C23—4721no—
1713C23—4721no—
1714C23—4721no—
1715C23—4721no—
1716C23—4721no—
1717C23—4721no—
1718C23—4721no—
1719C23—2362no—
1720C23—2362no—
1721C23—2362no—
1722C23C2×D4×D5911yescharacteristic
1723Q8—21no—
1724Q8—42no—
1725Q8—1181no—
1726Q8—1181no—
1727Q8—1181no—
1728Q8—1181no—
1729Q8—1181no—
1730Q8—1181no—
1731Q8—2361no—
1732Q8—2361no—
1733Q8—2362no—
1734Q8—2362no—
1735Q8—2362no—
1736Q8#1427377312yes—
1737D4—24no—
1738D4—21no—
1739D4—21no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—42no—
1744D4—81no—
1745D4—81no—
1746D4—81no—
1747D4—1181no—
1748D4—1181no—
1749D4—1181no—
1750D4—1181no—
1751D4—1181no—
1752D4—1181no—
1753D4—4721no—
1754D4—4721no—
1755D4—4721no—
1756D4—4721no—
1757D4—4721no—
1758D4—4721no—
1759D4—4721no—
1760D4—4721no—
1761D4—4721no—
1762D4—4721no—
1763D4—4721no—
1764D4—4721no—
1765D4—4721no—
1766D4—4721no—
1767D4—4721no—
1768D4—2361no—
1769D4—2361no—
1770D4—2361no—
1771D4—2361no—
1772D4—2361no—
1773D4—2361no—
1774D4—2362no—
1775D4—2362no—
1776D4—2362no—
1777D4—2361no—
1778D4—2361no—
1779D4—2361no—
1780D4—2361no—
1781D4—2362no—
1782D4—2362no—
1783D4—2362no—
1784D4—2362no—
1785D4#1427377312yes—
1786C2×C4—24no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—41no—
1795C2×C4—41no—
1796C2×C4—81no—
1797C2×C4—81no—
1798C2×C4—81no—
1799C2×C4—81no—
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—1181no—
1816C2×C4—1181no—
1817C2×C4—4721no—
1818C2×C4—4721no—
1819C2×C4—4721no—
1820C2×C4—4721no—
1821C2×C4—2362no—
1822C2×C4—2362no—
1823C2×C4—2362no—
1824C2×C4—2362no—
1825C2×C4—2362no—
1826C2×C4—2362no—
1827C2×C4—2362no—
1828C2×C4—2362no—
1829C2×C4C2×D4×D5911yescharacteristic
1830C2×C4C2×D4×D5911yescharacteristic
1831C2×C4C2×D4×D5911yescharacteristic
1832C2×C4C2×D4×D5911yescharacteristic
1833C2×C4C2×D4×D5911yescharacteristic
1834C2×C4C24×D5911yescharacteristic
1835C8—21no—
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—1181no—
1840C8—1181no—
1841C8—1181no—
1842C8—1181no—
1843C22—21no—
1844C22—22no—
1845C22—21no—
1846C22—21no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—1181no—
1856C22—1181no—
1857C22—1181no—
1858C22—1181no—
1859C22—1181no—
1860C22—1181no—
1861C22—1181no—
1862C22—1181no—
1863C22—1181no—
1864C22—1181no—
1865C22—1181no—
1866C22—1181no—
1867C22—9442no—
1868C22—9442no—
1869C22—9442no—
1870C22—9442no—
1871C22—9442no—
1872C22—2361no—
1873C22—2361no—
1874C22—2361no—
1875C22—2361no—
1876C22—2361no—
1877C22—2361no—
1878C22—2361no—
1879C22—2361no—
1880C22—2361no—
1881C22C22×D4×D5911yescharacteristic
1882C4—21no—
1883C4—22no—
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—21no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—1181no—
1893C4—1181no—
1894C4—1181no—
1895C4—1181no—
1896C4—2361no—
1897C4—2361no—
1898C4—2361no—
1899C4—2361no—
1900C4—2361no—
1901C4C2×#1427377311yescharacteristic
1902C4C2×#1427377311yescharacteristic
1903C2—41no—
1904C2—42no—
1905C2—81no—
1906C2—81no—
1907C2—4721no—
1908C2—4721no—
1909C2—4721no—
1910C2—2361no—
1911C2—2361no—
1912C2—2361no—
1913C2—2361no—
1914C2#2143772911yescharacteristic
1915C2#2143886511yescharacteristic
1916C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3106C2
socleC22×C59C23×D4
hypercenter#3106D59
hypocenterC59#61690
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3106

Complements

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

NH ≅ G/Ntype
1. #21438462C2semidirect
2. #21437889C2semidirect
3. #21436354C2semidirect
4. #21436302C2semidirect
5. #21436159C2semidirect
6. #21436129C2semidirect
7. #21436084C2semidirect
8. #21436054C2semidirect
9. #21436003C2semidirect
10. #21435951C2semidirect
11. #21435805C2semidirect
12. #21435782C2semidirect
13. #21435729C2semidirect
14. #21435706C2semidirect
15. #21435676C2semidirect
16. #21435642C2semidirect
17. #21435586C2semidirect
18. #21435571C2semidirect
19. #21435079C2semidirect
20. #21435063C2semidirect
21. #21434976C2semidirect
22. #21434970C2semidirect
23. #21434960C2semidirect
24. #21434946C2semidirect
25. #21434205C2semidirect
26. #21433409C2semidirect
27. #21433398C2semidirect
28. #21433379C2semidirect
29. #21433361C2semidirect
30. #21433171C2semidirect
31. C59×#3106C2semidirect
32. C2×#14273774C22semidirect
33. C2×#14273773C22semidirect
34. C2×#14273756C22semidirect
36. C2×#14273751C22semidirect
37. C2×#14273751C22semidirect
38. C2×#14273748C22semidirect
39. C2×#14273746C22semidirect
40. C2×SD16×D59C22semidirect
44. #16838126C22semidirect
45. #16838102C22semidirect
46. #16838102C22semidirect
47. #16838072C22semidirect
50. #16838064C22semidirect
51. #16838064C22semidirect
52. #16838064C22semidirect
53. #16838055C22semidirect
59. #16838047C22semidirect
60. #16838047C22semidirect
61. #16838047C22semidirect
62. #16838047C22semidirect
63. #16838047C22semidirect
65. #16838037C22semidirect
70. #16837981C22semidirect
72. #16837978C22semidirect
74. #16837971C22semidirect
77. #16837968C22semidirect
80. #16837936C22semidirect
82. C2×#14273715C22semidirect
83. #16837789C22semidirect
84. #16837789C22semidirect
85. #16837786C22semidirect
86. #16837786C22semidirect
87. #16837764C22semidirect
88. #16837764C22semidirect
89. #16837757C22semidirect
90. #16837757C22semidirect
91. #16837746C22semidirect
92. #16837745C22semidirect
93. #16837743C22semidirect
94. #16837739C22semidirect
95. #16837734C22semidirect
96. #16837729C22semidirect
97. #16837728C22semidirect
98. #16837726C22semidirect
99. #16837722C22semidirect
100. #16837717C22semidirect
101. #16837709C22semidirect
102. #16837702C22semidirect
103. #16837661C22semidirect
104. #16837656C22semidirect
105. #16837654C22semidirect
106. #16837654C22semidirect
107. #16837649C22semidirect
108. #16837649C22semidirect
109. #16837647C22semidirect
110. #16837647C22semidirect
111. #16837644C22semidirect
112. #16837639C22semidirect
113. #16837637C22semidirect
114. #16837637C22semidirect
115. #16837632C22semidirect
116. #16837632C22semidirect
117. #16837630C22semidirect
118. #16837630C22semidirect
119. #16837625C22semidirect
120. #16837625C22semidirect
121. #16837624C22semidirect
122. #16837618C22semidirect
123. #16837618C22semidirect
124. #16837617C22semidirect
125. #16837617C22semidirect
126. #16837617C22semidirect
127. #16837617C22semidirect
128. #16837617C22semidirect
129. #16837567C22semidirect
130. #16837565C22semidirect
131. #16837565C22semidirect
132. #16837565C22semidirect
133. #16837564C22semidirect
134. #16837560C22semidirect
135. #16837559C22semidirect
136. #16837555C22semidirect
137. #16837554C22semidirect
138. #16837554C22semidirect
139. #16837554C22semidirect
141. #16837548C22semidirect
142. #16837548C22semidirect
143. #16837548C22semidirect
146. #16837546C22semidirect
147. #16837544C22semidirect
148. #16837544C22semidirect
149. #16837543C22semidirect
150. #16837542C22semidirect
151. #16837540C22semidirect
152. #16837540C22semidirect
153. #16837539C22semidirect
154. #16837539C22semidirect
157. #16837537C22semidirect
158. #16837537C22semidirect
159. #16837535C22semidirect
160. #16837535C22semidirect
162. #16837534C22semidirect
163. #16837512C22semidirect
164. #16837507C22semidirect
165. #16837502C22semidirect
166. #16837500C22semidirect
167. #16837481C22semidirect
168. #16837481C22semidirect
169. #16837472C22semidirect
170. #16837472C22semidirect
171. #16837472C22semidirect
172. #16837472C22semidirect
173. C8×D236C22semidirect
174. C8×D236C22semidirect
175. #16837459C22semidirect
176. #16837409C22semidirect
177. #16837405C22semidirect
178. #16837402C22semidirect
179. #16837400C22semidirect
180. #16837397C22semidirect
181. #16837395C22semidirect
182. #103×D59C22semidirect
183. #102×D59C22semidirect
184. #16837367C22semidirect
185. #16837367C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
188. C59×#532C22semidirect
189. C4×#41×C59C22semidirect
190. C59×#482C22semidirect
191. C59×#482C22semidirect
192. C59×#477C22semidirect
193. C59×#476C22semidirect
194. C59×#460C22semidirect
195. C59×#459C22semidirect
196. C59×#449C22semidirect
197. C59×#449C22semidirect
198. C4×SD16×C59C22semidirect
199. C4×SD16×C59C22semidirect
200. C4×D8×C59C22semidirect
201. C4×D8×C59C22semidirect
202. C59×#431C22semidirect
970. #3106D59semidirect
1038. #532C2×D59semidirect
1042. C4×#41C2×D59semidirect
1059. #482C2×D59semidirect
1060. #482C2×D59semidirect
1065. #477C2×D59semidirect
1066. #476C2×D59semidirect
1093. #460C2×D59semidirect
1094. #459C2×D59semidirect
1115. #449C2×D59semidirect
1116. #449C2×D59semidirect
1135. C4×SD16C2×D59semidirect
1136. C4×SD16C2×D59semidirect
1137. C4×D8C2×D59semidirect
1138. C4×D8C2×D59semidirect
1148. #431C2×D59semidirect
1161. C59#61690semidirect

Maximal subgroups

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

subgroupindex
#214384622
#214378892
#214363542
#214363022
#214361592
#214361292
#214360842
#214360542
#214360032
#214359512
#214358052
#214357822
#214357292
#214357062
#214356762
#214356422
#214355862
#214355712
#214350792
#214350632
#214349762
#214349702
#214349602
#214349462
#214342052
#214334092
#214333982
#214333792
#214333612
#214331712
C59×#31062
#6169059