Finite Group Databasebeta

← #29466123

Subgroups — #29466123

Order 15104.

2102 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437798C211yesmaximal, characteristic, complemented
2#21437735C211yesmaximal, characteristic, complemented
3#21436411C211yesmaximal, characteristic, complemented
4#21436408C211yesmaximal, characteristic, complemented
5#21436396C211yesmaximal, characteristic, complemented
6#21436314C211yesmaximal, characteristic, complemented
7#21436313C211yesmaximal, characteristic, complemented
8#21436303C211yesmaximal, characteristic, complemented
9#21436302C211yesmaximal, characteristic, complemented
10#21436195C211yesmaximal, characteristic, complemented
11#21436192C211yesmaximal, characteristic, complemented
12#21436175C211yesmaximal, characteristic, complemented
13#21436174C211yesmaximal, characteristic, complemented
14#21436079C211yesmaximal, characteristic, complemented
15#21436076C211yesmaximal, characteristic, complemented
16#21436051C211yesmaximal, characteristic, complemented
17#21436050C211yesmaximal, characteristic, complemented
18#21434456C211yesmaximal, characteristic, complemented
19#21434064C211yesmaximal, characteristic, complemented
20#21434023C211yesmaximal, characteristic, complemented
21#21433920C211yesmaximal, characteristic, complemented
22#21433782C211yesmaximal, characteristic, complemented
23#21433700C211yesmaximal, characteristic, complemented
24#21433641C211yesmaximal, characteristic, complemented
25#21433398C211yesmaximal, characteristic, complemented
26#21433334C211yesmaximal, characteristic, complemented
27#21432921C211yesmaximal, characteristic, complemented
28#21432796C211yesmaximal, characteristic, complemented
29#21432620C211yesmaximal, characteristic, complemented
30#417×D59C211yesmaximal, characteristic, complemented
31C59×#3330C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C2×#14273756C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic
36C2×#14273748C2211yescharacteristic
37C2×#14273735C2211yescharacteristic
38C2×M16×D59C2211yescharacteristic, complemented
39#16838113C2211yescharacteristic, complemented
40#16838107C2211yescharacteristic, complemented
41#16838106—21no—
42#16838102C2211yescharacteristic, complemented
43#16838099C2211yescharacteristic, complemented
44#16838097—21no—
45#16838092C2211yescharacteristic, complemented
46#16838089—21no—
47#16838087C2211yescharacteristic, complemented
48#16838055C2211yescharacteristic
49#16838054C2211yescharacteristic
50#16838053—21no—
51#16838052C2211yescharacteristic, complemented
52#16838051—21no—
53#16838051C2211yescharacteristic
54#16838050—21no—
55#16838048C2211yescharacteristic
56#16838047C2211yescharacteristic
57#16838044—21no—
58#16838043C2211yescharacteristic
59#16838041—21no—
60#16838040C2211yescharacteristic
61#16838029C2211yescharacteristic, complemented
62#16837998—21no—
63#16837995—21no—
64#16837981C2211yescharacteristic
65#16837977C2211yescharacteristic
66#16837975C2211yescharacteristic
67#16837963—21no—
68#16837960—21no—
69#16837915C2211yescharacteristic
70#16837912C2211yescharacteristic, complemented
71#16837911C2211yescharacteristic
72#16837910—21no—
73#16837909—21no—
74C2×#14273712—21no—
75#123×D59—21no—
76#16837883C2211yescharacteristic
77#16837881C2211yescharacteristic, complemented
78#16837874C2211yescharacteristic
79C2×C4⋊C4×D59C2211yescharacteristic, complemented
80#16837770C2211yescharacteristic, complemented
81#16837769C2211yescharacteristic, complemented
82#16837764C2211yescharacteristic, complemented
83#16837763C2211yescharacteristic, complemented
84#16837758C2211yescharacteristic, complemented
85#16837757C2211yescharacteristic, complemented
86#16837751C2211yescharacteristic, complemented
87#16837745C2211yescharacteristic, complemented
88#16837744C2211yescharacteristic, complemented
89#16837742C2211yescharacteristic, complemented
90#16837740C2211yescharacteristic, complemented
91#16837739C2211yescharacteristic, complemented
92#16837735C2211yescharacteristic, complemented
93#16837732C2211yescharacteristic, complemented
94#16837731C2211yescharacteristic, complemented
95#16837731C2211yescharacteristic, complemented
96#16837731C2211yescharacteristic, complemented
97#16837721C2211yescharacteristic, complemented
98#16837720C2211yescharacteristic, complemented
99#16837717C2211yescharacteristic, complemented
100#16837717C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837703C2211yescharacteristic, complemented
103#16837702C2211yescharacteristic, complemented
104#16837700C2211yescharacteristic, complemented
105#16837690C2211yescharacteristic, complemented
106#16837689C2211yescharacteristic, complemented
107#16837681C2211yescharacteristic, complemented
108#16837660C2211yescharacteristic, complemented
109#16837659C2211yescharacteristic, complemented
110#16837659C2211yescharacteristic, complemented
111#16837658C2211yescharacteristic, complemented
112#16837654C2211yescharacteristic, complemented
113#16837653C2211yescharacteristic, complemented
114#16837649C2211yescharacteristic, complemented
115#16837648C2211yescharacteristic, complemented
116#16837647C2211yescharacteristic, complemented
117#16837645C2211yescharacteristic, complemented
118#16837644C2211yescharacteristic, complemented
119#16837641C2211yescharacteristic, complemented
120#16837629C2211yescharacteristic, complemented
121#16837628C2211yescharacteristic, complemented
122#16837627C2211yescharacteristic, complemented
123#16837625C2211yescharacteristic, complemented
124#16837619C2211yescharacteristic, complemented
125#16837617C2211yescharacteristic, complemented
126#16837611C2211yescharacteristic, complemented
127#16837609C2211yescharacteristic, complemented
128#16837605C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837567C2211yescharacteristic, complemented
131#16837566C2211yescharacteristic, complemented
132#16837565C2211yescharacteristic, complemented
133#16837564C2211yescharacteristic, complemented
134#16837564C2211yescharacteristic, complemented
135#16837555C2211yescharacteristic, complemented
136#16837554C2211yescharacteristic, complemented
137#16837546C2211yescharacteristic, complemented
138#16837546C2211yescharacteristic, complemented
139#16837545C2211yescharacteristic, complemented
140#16837544C2211yescharacteristic, complemented
141#16837535C2211yescharacteristic, complemented
142#16837534C2211yescharacteristic, complemented
143#16837514C2211yescharacteristic, complemented
144#16837512C2211yescharacteristic, complemented
145#16837502C2211yescharacteristic, complemented
146#16837501C2211yescharacteristic, complemented
147#16837493C2211yescharacteristic, complemented
148C4×#11745660C2211yescharacteristic, complemented
149#16837482C2211yescharacteristic, complemented
150#16837481C2211yescharacteristic, complemented
151#16837478C2211yescharacteristic, complemented
152#16837478C2211yescharacteristic, complemented
153#16837476C2211yescharacteristic, complemented
154#16837474C2211yescharacteristic, complemented
155#16837472C2211yescharacteristic, complemented
156#16837470C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#16837443C2211yescharacteristic, complemented
159#16837439C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837409C2211yescharacteristic, complemented
162#16837408C2211yescharacteristic, complemented
163#16837405C2211yescharacteristic
164#16837405C2211yescharacteristic, complemented
165#16837404C2211yescharacteristic, complemented
166#16837403C2211yescharacteristic, complemented
167#16837402C2211yescharacteristic
168#16837402C2211yescharacteristic
169#16837402C2211yescharacteristic, complemented
170#16837402C2211yescharacteristic, complemented
171#16837402C2211yescharacteristic, complemented
172#16837401C2211yescharacteristic, complemented
173#16837400C2211yescharacteristic, complemented
174#16837400C2211yescharacteristic, complemented
175#16837398C2211yescharacteristic, complemented
176#16837397C2211yescharacteristic
177#16837397C2211yescharacteristic, complemented
178#16837395C2211yescharacteristic, complemented
179#103×D59C2211yescharacteristic, complemented
180#103×D59C2211yescharacteristic, complemented
181C2×#14273647C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic
183#102×D59C2211yescharacteristic
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic
186#16837364C2211yescharacteristic, complemented
187#16837356C2211yescharacteristic, complemented
188C59×#547C2211yescharacteristic
189C59×#547C2211yescharacteristic, complemented
190C59×#487C2211yescharacteristic, complemented
191C59×#484C2211yescharacteristic, complemented
192C59×#484C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#461C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C4×D8×C59C2211yescharacteristic, complemented
200C59×#436C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C59×#417C2211yescharacteristic, complemented
203#14273773—24no—
204#14273773—42no—
205C2×#11745689C2311yescharacteristic
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745685—21no—
209C2×#11745685—21no—
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C2×#11745687—21no—
213C2×#11745687—21no—
214C2×#11745687C2311yescharacteristic
215C2×#11745687C2311yescharacteristic
216#41×D59—24no—
217#41×D59—42no—
218C2×Q8×D59C2311yescharacteristic
219C22×D236—21no—
220C22×D236C2311yescharacteristic
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59C2311yescharacteristic
225C2×D4×D59C2311yescharacteristic
226C22×C4×D59—21no—
227C22×C4×D59—21no—
228C22×C4×D59C2311yescharacteristic
229#14273756—42no—
230#14273751—24no—
231#14273748—42no—
232C2×Dic236C2311yescharacteristic
233C2×#11745672C2311yescharacteristic
234C2×#11745672C2311yescharacteristic
235C2×#11745660C2311yescharacteristic
236C2×#11745660C2311yescharacteristic
237C2×#11745670C2311yescharacteristic
238C2×#11745670C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241#14273735—42no—
242C2×#11745664C2311yescharacteristic
243C2×#11745659C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248M16×D59—42no—
249C22×C59⋊C8C2311yescharacteristic
250C2×C8×D59C2311yescharacteristic
251C2×C8×D59C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253#14273726—21no—
254#14273726C2311yescharacteristic
255#14273725—21no—
256#14273725C2311yescharacteristic
257#14273722—21no—
258#14273720—21no—
259#14273720—21no—
260#14273720—21no—
261#14273719C2311yescharacteristic
262#14273718—21no—
263#14273718C2311yescharacteristic
264#14273717—21no—
265#14273717—21no—
266#14273717—21no—
267#14273717—21no—
268#14273716C2311yescharacteristic
269#14273715C2311yescharacteristic
270#14273713—21no—
271#14273712—21no—
272#14273712—21no—
273#14273712—21no—
274#14273712—21no—
275#14273712—21no—
276#14273712—21no—
277#14273712—21no—
278#14273712—21no—
279#14273712—21no—
280#14273712D411yescharacteristic
281#14273711—21no—
282#14273710—21no—
283#14273710—21no—
284#14273710—21no—
285#14273710—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709—21no—
290#14273709D411yescharacteristic
291#14273708—21no—
292#14273708—21no—
293#14273708—21no—
294#14273708—21no—
295#14273707C2311yescharacteristic
296#14273707C2311yescharacteristic
297#14273707C2311yescharacteristic
298#14273706—21no—
299#14273706C2311yescharacteristic
300#14273706C2311yescharacteristic
301#14273706C2311yescharacteristic
302#14273705—21no—
303#14273705—21no—
304#14273705—21no—
305#14273705—21no—
306#14273705D411yescharacteristic
307#14273704—21no—
308#14273704—21no—
309#14273704D411yescharacteristic
310#14273703—21no—
311#14273703—21no—
312#14273703—21no—
313#14273703C2311yescharacteristic
314#14273703C2311yescharacteristic
315#14273702—21no—
316#14273702—21no—
317#14273702C2311yescharacteristic
318#14273701—21no—
319#14273701C2311yescharacteristic
320#14273700—21no—
321#14273700—21no—
322#14273700—21no—
323#14273700—21no—
324#14273700D411yescharacteristic
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273699D411yescharacteristic
329#14273698—21no—
330#14273698—21no—
331#14273698C2311yescharacteristic
332#14273698C2311yescharacteristic
333#14273697—21no—
334#14273697—21no—
335#14273697—21no—
336#14273697D411yescharacteristic
337#14273695—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695D411yescharacteristic
341C4×Dic118C2311yescharacteristic
342#14273692—21no—
343#14273692C2311yescharacteristic
344C4×D236C2311yescharacteristic
345C4×D236C2311yescharacteristic
346D4×Dic59—21no—
347D4×Dic59C2311yescharacteristic
348D4×Dic59C2311yescharacteristic
349#14273689—21no—
350#14273689—21no—
351#14273689—21no—
352#14273689C2311yescharacteristic
353C4×C22⋊D59—21no—
354C4×C22⋊D59—21no—
355C4×C22⋊D59—21no—
356C4×C22⋊D59—21no—
357C4×C22⋊D59—21no—
358C4×C22⋊D59—21no—
359C4×C22⋊D59C2311yescharacteristic
360C4×C22⋊D59C2311yescharacteristic
361(C22⋊D59)⋊C4—21no—
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4—21no—
365(C22⋊D59)⋊C4—21no—
366#14273686—21no—
367#14273686C2311yescharacteristic
368#14273685C2311yescharacteristic
369#14273685C2311yescharacteristic
370#14273685C2311yescharacteristic
371#14273684C2311yescharacteristic
372#14273683—21no—
373#14273683—21no—
374C2×C4⋊Dic59C2311yescharacteristic
375C2×Dic59⋊C4—21no—
376C2×Dic59⋊C4—21no—
377C2×Dic59⋊C4—21no—
378C4⋊C4×D59—21no—
379C4⋊C4×D59—21no—
380C4⋊C4×D59—21no—
381C4⋊C4×D59—21no—
382C4⋊C4×D59C2311yescharacteristic
383C4⋊C4×D59C2311yescharacteristic
384C4⋊C4×D59C2311yescharacteristic
385C4⋊C4×D59C2311yescharacteristic
386C4⋊C4×D59C2311yescharacteristic
387C2×(C2×D59)⋊C4—21no—
388C2×(C2×D59)⋊C4—21no—
389C2×(C2×D59)⋊C4—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393#14273661C2311yescharacteristic
394#14273660C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273659C2311yescharacteristic
397#14273659C2311yescharacteristic
398#14273658C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
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#14273638C2311yescharacteristic
442#14273637C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C2×#41×C59—21no—
445C2×#41×C59C2311yescharacteristic
446C2×#41×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×M16×C59C2311yescharacteristic
451C2×M16×C59C2311yescharacteristic
452C4⋊Q8×C59C2311yescharacteristic
453C4⋊Q8×C59C2311yescharacteristic
454#123×C59—21no—
455#123×C59—21no—
456#123×C59—21no—
457#123×C59—21no—
458C22⋊Q8×C59—21no—
459C22⋊Q8×C59C2311yescharacteristic
460C22⋊Q8×C59C2311yescharacteristic
461#121×C59—21no—
462#121×C59C2311yescharacteristic
463#121×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C2×C4⋊C4×C59—21no—
468C2×C4⋊C4×C59C2311yescharacteristic
469C2×C4⋊C4×C59C2311yescharacteristic
470#107×C59C2311yescharacteristic
471#107×C59C2311yescharacteristic
472#107×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486C4×C8×C59C2311yescharacteristic
487C23×D59—21no—
488C23×D59—21no—
489C23×D59—21no—
490C23×D59C2×D411yescharacteristic
491#41×C59—22no—
492#41×C59—22no—
493#41×C59—41no—
494#41×C59—41no—
495#41×C59—82no—
496C2×Q8×C59—21no—
497C2×Q8×C59C2411yescharacteristic
498C2×Q8×C59C2411yescharacteristic
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59C2×D411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59C2411yescharacteristic
513C22×C4×C59C2411yescharacteristic
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
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⋊D59C2×D411yescharacteristic
523C2×C22⋊D59C2×D411yescharacteristic
524C2×C22⋊D59C2×D411yescharacteristic
525C2×C22⋊D59C2×D411yescharacteristic
526C22×Dic59—21no—
527C22×Dic59—21no—
528C22×Dic59—21no—
529C22×Dic59—21no—
530C22×Dic59—21no—
531C22×Dic59C2×D411yescharacteristic
532#11745689—22no—
533#11745689—22no—
534#11745689—22no—
535#11745689—22no—
536#11745689—41no—
537#11745689—41no—
538Q8×D59—22no—
539Q8×D59—22no—
540#11745687—22no—
541#11745687—22no—
542#11745687—22no—
543#11745687—41no—
544#11745687—44no—
545#11745687—82no—
546D4×D59—22no—
547D4×D59—22no—
548D4×D59—41no—
549D4×D59—44no—
550D4×D59—44no—
551D4×D59—44no—
552D4×D59#4114yescomplemented
553#11745685—22no—
554#11745685—22no—
555#11745685—22no—
556#11745685—41no—
557#11745685—44no—
558#11745685—44no—
559C2×D236—22no—
560C2×D236—21no—
561C2×D236—21no—
562C2×D236—21no—
563C2×D236—21no—
564C2×D236—21no—
565C2×D236—41no—
566C2×D236—44no—
567C2×D236C2×D411yescharacteristic
568C2×D236C2×D411yescharacteristic
569C2×D236C2411yescharacteristic
570C2×D236C2411yescharacteristic
571C2×C4×D59—22no—
572C2×C4×D59—22no—
573C2×C4×D59—21no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×C4×D59—21no—
577C2×C4×D59—21no—
578C2×C4×D59—21no—
579C2×C4×D59—21no—
580C2×C4×D59—21no—
581C2×C4×D59—21no—
582C2×C4×D59—21no—
583C2×C4×D59—21no—
584C2×C4×D59—21no—
585C2×C4×D59—44no—
586C2×C4×D59—82no—
587C2×C4×D59C2×D411yescharacteristic
588C2×C4×D59C2×D411yescharacteristic
589C2×C4×D59C2411yescharacteristic
590C2×C4×D59C2411yescharacteristic
591C2×C4×D59C2411yescharacteristic
592C2×Dic118—21no—
593C2×Dic118—21no—
594C2×Dic118C2×D411yescharacteristic
595C2×Dic118C2411yescharacteristic
596C2×Dic118C2411yescharacteristic
597SD16×C59—41no—
598SD16×C59—41no—
599D8×C59—22no—
600M16×C59—41no—
601M16×C59—41no—
602C2×C8×C59C2411yescharacteristic
603C2×C8×C59C2411yescharacteristic
604C2×C8×C59C2411yescharacteristic
605C2×C8×C59C2411yescharacteristic
606C4⋊C4×C59—21no—
607C4⋊C4×C59—21no—
608C4⋊C4×C59—21no—
609C4⋊C4×C59—21no—
610C4⋊C4×C59—21no—
611C4⋊C4×C59—21no—
612C4⋊C4×C59—21no—
613C4⋊C4×C59C2×D411yescharacteristic
614C4⋊C4×C59C2411yescharacteristic
615C4⋊C4×C59C2411yescharacteristic
616C4⋊C4×C59C2411yescharacteristic
617C4⋊C4×C59C2411yescharacteristic
618C22⋊C4×C59—21no—
619C22⋊C4×C59—21no—
620C22⋊C4×C59—21no—
621C22⋊C4×C59—21no—
622C22⋊C4×C59—21no—
623C22⋊C4×C59—21no—
624C22⋊C4×C59C2×D411yescharacteristic
625C22⋊C4×C59C2×D411yescharacteristic
626C42×C59C2411yescharacteristic
627C22⋊Dic59—21no—
628C22⋊Dic59—21no—
629C22⋊Dic59—21no—
630C22⋊Dic59—21no—
631C22⋊Dic59—21no—
632C22⋊Dic59—21no—
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635C22⋊Dic59C2×D411yescharacteristic
636C22⋊Dic59C2×D411yescharacteristic
637#11745672—41no—
638#11745672—41no—
639#11745670—22no—
640#11745670—41no—
641#11745669—22no—
642#11745669—41no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4C2×D411yescharacteristic
660(C2×D59)⋊C4C2×D411yescharacteristic
661(C2×D59)⋊C4C2×D411yescharacteristic
662(C2×D59)⋊C4C2×D411yescharacteristic
663(C2×D59)⋊C4C2×D411yescharacteristic
664(C2×D59)⋊C4C2×D411yescharacteristic
665C4⋊Dic59—21no—
666C4⋊Dic59—21no—
667C4⋊Dic59—21no—
668C4⋊Dic59—21no—
669C4⋊Dic59—21no—
670C4⋊Dic59C2×D411yescharacteristic
671C4⋊Dic59C2411yescharacteristic
672C4⋊Dic59C2411yescharacteristic
673C4⋊Dic59C2411yescharacteristic
674C4⋊Dic59C2411yescharacteristic
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4C2×D411yescharacteristic
694Dic59⋊C4C2×D411yescharacteristic
695Dic59⋊C4C2×D411yescharacteristic
696Dic59⋊C4C2×D411yescharacteristic
697C4×Dic59—21no—
698C4×Dic59—21no—
699C4×Dic59—21no—
700C4×Dic59—21no—
701C4×Dic59—21no—
702C4×Dic59—21no—
703C4×Dic59C2411yescharacteristic
704#11745664—41no—
705C2×C59⋊C8—41no—
706C2×C59⋊C8C2411yescharacteristic
707C2×C59⋊C8C2411yescharacteristic
708C2×C59⋊C8C2411yescharacteristic
709C2×C59⋊C8C2411yescharacteristic
710Dic236—41no—
711#11745660—22no—
712#11745660—41no—
713#11745659—22no—
714#11745659—22no—
715#11745659—41no—
716#11745659—41no—
717#11745659—41no—
718C8×D59—22no—
719C8×D59—22no—
720C8×D59—41no—
721C23×C59—21no—
722C23×C59—21no—
723C23×C59C22×D411yescharacteristic
724C23×C59C22×D411yescharacteristic
725C22×D59—21no—
726C22×D59—22no—
727C22×D59—24no—
728C22×D59—21no—
729C22×D59—41no—
730C22×D59—41no—
731C22×D59—42no—
732C22×D59—42no—
733C22×D59—81no—
734C22×D59—81no—
735C22×D59—81no—
736C22×D59—81no—
737C22×D59—81no—
738C22×D59—81no—
739C22×D59C22×D411yescharacteristic
740C22×D59C22×D411yescharacteristic
741C22×D59C22×D411yescharacteristic
742Q8×C59—21no—
743Q8×C59—21no—
744Q8×C59—21no—
745Q8×C59—21no—
746Q8×C59—81no—
747D4×C59—21no—
748D4×C59—21no—
749D4×C59—21no—
750D4×C59—41no—
751D4×C59—42no—
752D4×C59—42no—
753D4×C59—42no—
754D4×C59—81no—
755D4×C59C2×#4112yes—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—42no—
767C2×C4×C59—42no—
768C2×C4×C59—42no—
769C2×C4×C59—81no—
770C2×C4×C59—81no—
771C2×C4×C59—81no—
772C2×C4×C59C22×D411yescharacteristic
773C2×C4×C59C22×D411yescharacteristic
774C2×C4×C59C22×D411yescharacteristic
775C2×C4×C59C22×D411yescharacteristic
776C2×C4×C59C2511yescharacteristic
777C22⋊D59—22no—
778C22⋊D59—22no—
779C22⋊D59—24no—
780C22⋊D59—41no—
781C22⋊D59—41no—
782C22⋊D59—42no—
783C22⋊D59—42no—
784C22⋊D59—42no—
785C22⋊D59—42no—
786C22⋊D59—42no—
787C22⋊D59—81no—
788C22⋊D59—81no—
789C2×Dic59—22no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—21no—
794C2×Dic59—21no—
795C2×Dic59—21no—
796C2×Dic59—42no—
797C2×Dic59—42no—
798C2×Dic59—42no—
799C2×Dic59—81no—
800C2×Dic59—81no—
801C2×Dic59C22×D411yescharacteristic
802C2×Dic59C22×D411yescharacteristic
803C2×Dic59C22×D411yescharacteristic
804C2×Dic59C22×D411yescharacteristic
805C2×Dic59C22×D411yescharacteristic
806D236—22no—
807D236—21no—
808D236—21no—
809D236—21no—
810D236—41no—
811D236—42no—
812D236—42no—
813D236—42no—
814D236—42no—
815D236—81no—
816D236C2×#4112yes—
817C4×D59—22no—
818C4×D59—21no—
819C4×D59—21no—
820C4×D59—21no—
821C4×D59—21no—
822C4×D59—22no—
823C4×D59—42no—
824C4×D59—42no—
825C4×D59—42no—
826C4×D59—42no—
827C4×D59—42no—
828C4×D59—81no—
829C4×D59—81no—
830C4×D59—81no—
831C4×D59—81no—
832C4×D59—81no—
833C4×D59—81no—
834C4×D59—81no—
835C4×D59C2×#4112yes—
836C4×D59H(5,𝔽2)12yes—
837Dic118—22no—
838Dic118—21no—
839Dic118—21no—
840Dic118—21no—
841Dic118—21no—
842Dic118—42no—
843Dic118—81no—
844C8×C59—21no—
845C8×C59—21no—
846C8×C59—21no—
847C8×C59—21no—
848C59⋊C8—21no—
849C59⋊C8—21no—
850C59⋊C8—21no—
851C59⋊C8—21no—
852#61177—591nomaximal, Sylow
853C22×C59—21no—
854C22×C59—21no—
855C22×C59—21no—
856C22×C59—21no—
857C22×C59—21no—
858C22×C59—22no—
859C22×C59—21no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59—41no—
863C22×C59—41no—
864C22×C59—41no—
865C22×C59C23×D411yescharacteristic
866C2×D59—21no—
867C2×D59—21no—
868C2×D59—21no—
869C2×D59—21no—
870C2×D59—21no—
871C2×D59—21no—
872C2×D59—21no—
873C2×D59—21no—
874C2×D59—22no—
875C2×D59—44no—
876C2×D59—41no—
877C2×D59—41no—
878C2×D59—41no—
879C2×D59—41no—
880C2×D59—41no—
881C2×D59—84no—
882C2×D59—162no—
883C2×D59—162no—
884C2×D59#54612yes—
885C4×C59—21no—
886C4×C59—21no—
887C4×C59—21no—
888C4×C59—21no—
889C4×C59—41no—
890C4×C59—41no—
891C4×C59—41no—
892C4×C59—41no—
893C4×C59—41no—
894C4×C59—41no—
895C4×C59C22×#4111yescharacteristic
896C4×C59C2×H(5,𝔽2)11yescharacteristic
897Dic59—21no—
898Dic59—21no—
899Dic59—21no—
900Dic59—21no—
901Dic59—41no—
902Dic59—41no—
903Dic59—41no—
904Dic59—41no—
905Dic59—41no—
906Dic59—41no—
907Dic59#54612yes—
908#3492—591no—
909#3485—591no—
910#3331—591no—
911#3331—591no—
912#3330—591no—
913#3330D5911yescharacteristic, complemented
914#3323—591no—
915#3323—591no—
916#3322—591no—
917#3322—591no—
918#3315—591no—
919#3315—591no—
920#3314—591no—
921#3314—591no—
922#3307—591no—
923#3307—591no—
924#3306—591no—
925#3306—591no—
926#3137—591no—
927#3097—591no—
928#3092—591no—
929#3081—591no—
930#3063—591no—
931#3054—591no—
932#3046—591no—
933#3012—591no—
934#3005—591no—
935#2946—591no—
936#2930—591no—
937#2897—591no—
938C2×#417—591no—
939C2×C59—41no—
940C2×C59—42no—
941C2×C59—41no—
942C2×C59—81no—
943C2×C59C2×#54611yescharacteristic
944C2×C59#358511yescharacteristic
945C2×C59#358611yescharacteristic
946D59—22no—
947D59—41no—
948D59—41no—
949D59—42no—
950D59—81no—
951C2×H(5,𝔽2)—591no—
952C22×#41—591no—
953C2×#137—591no—
954C2×AGL(1,ℤ/8)—591no—
955C2×#135—591no—
956C2×#131—591no—
957C22×M16—591no—
958#554—591no—
959#554—591no—
960#554—1181no—
961#553—591no—
962#553—591no—
963#553—1181no—
964#552—591no—
965#552—591no—
966#552—1181no—
967#547—591no—
968#547—591no—
969#547—591no—
970#547—591no—
971#547—1181no—
972#547—1181no—
973#547—1181no—
974#547C2×D5911yescharacteristic
975#547C2×D5911yescharacteristic, complemented
976#546—591no—
977#546—591no—
978#546—591no—
979#546—591no—
980#546—1181no—
981#546—1181no—
982#544—591no—
983#539—1181no—
984#539—1181no—
985#537—591no—
986#536—591no—
987#536—591no—
988#534—1181no—
989#534—1181no—
990#525—591no—
991#525—591no—
992#525—591no—
993#525—1181no—
994#525—1181no—
995C2×#123—1181no—
996C2×#123—1181no—
997#520—591no—
998#520—591no—
999#518—591no—
1000C22×C4⋊C4—591no—
1001#491—591no—
1002#491—591no—
1003#489—591no—
1004#489—591no—
1005#488—591no—
1006#488—591no—
1007#487—591no—
1008#487C2×D5911yescharacteristic, complemented
1009#485—591no—
1010#485—591no—
1011#485—591no—
1012#485—591no—
1013#484—591no—
1014#484—591no—
1015#484C2×D5911yescharacteristic, complemented
1016#484C2×D5911yescharacteristic, complemented
1017#483—591no—
1018#483—591no—
1019#483—591no—
1020#483—591no—
1021#481—591no—
1022#481—591no—
1023#480—591no—
1024#480—591no—
1025#478—591no—
1026#478—591no—
1027#478—591no—
1028#478—591no—
1029#476—591no—
1030#476—591no—
1031#474—591no—
1032#474C2×D5911yescharacteristic, complemented
1033#470—591no—
1034#470—591no—
1035#470—591no—
1036#470—591no—
1037#469—591no—
1038#469—591no—
1039#468—591no—
1040#468—591no—
1041#468—591no—
1042#468—591no—
1043#468C2×D5911yescharacteristic, complemented
1044#468C2×D5911yescharacteristic, complemented
1045#467—591no—
1046#467—591no—
1047#465—591no—
1048#465—591no—
1049#464—591no—
1050#464—591no—
1051#463—591no—
1052#463—591no—
1053#462—591no—
1054#462—591no—
1055#461—591no—
1056#461C2×D5911yescharacteristic, complemented
1057#452—591no—
1058#452—591no—
1059#452—591no—
1060#452—591no—
1061#452—591no—
1062#452—591no—
1063#450—591no—
1064#450—591no—
1065#449—591no—
1066#449—591no—
1067#449—591no—
1068#449—591no—
1069#449C2×D5911yescharacteristic, complemented
1070#449C2×D5911yescharacteristic, complemented
1071#447—591no—
1072#447—591no—
1073#442—591no—
1074#442—591no—
1075#440—591no—
1076#440—591no—
1077C4×SD16—591no—
1078C4×SD16—591no—
1079C4×D8—591no—
1080C4×D8C2×D5911yescharacteristic, complemented
1081#436—591no—
1082#436—591no—
1083#436—591no—
1084#436C2×D5911yescharacteristic, complemented
1085#435—591no—
1086#435—591no—
1087#435—591no—
1088#435—591no—
1089#428—591no—
1090#428—591no—
1091#427—591no—
1092#424—591no—
1093#419—591no—
1094#418—591no—
1095#418—591no—
1096#418—591no—
1097#417—591no—
1098#417—591no—
1099#417—591no—
1100#417—591no—
1101#417—591no—
1102#417—591no—
1103#417—591no—
1104#417—591no—
1105#417—591no—
1106#417—591no—
1107#417C2×D5911yescharacteristic, complemented
1108#417C2×D5911yescharacteristic, complemented
1109#416—591no—
1110#416—591no—
1111#416—591no—
1112#416—591no—
1113C2×#103—591no—
1114C2×#103—591no—
1115C2×#102—591no—
1116C2×#102—591no—
1117C2×#102—591no—
1118C2×#102—591no—
1119#408—591no—
1120#407—591no—
1121#405—591no—
1122C59#6117711yescharacteristic, complemented, Sylow
1123H(5,𝔽2)—1184no—
1124H(5,𝔽2)—2362no—
1125C2×#41—21no—
1126C2×#41—591no—
1127C2×#41—591no—
1128C2×#41—591no—
1129C2×#41—591no—
1130C2×#41—591no—
1131C2×#41—591no—
1132C2×#41—591no—
1133C2×#41—1181no—
1134C2×#41—1181no—
1135C2×#41—1181no—
1136C2×#41—1181no—
1137C2×#41—1184no—
1138C2×#41—2362no—
1139C2×#41C22×D5911yescharacteristic
1140C2×#41C22×D5911yescharacteristic
1141C22×Q8—591no—
1142C22×D4—591no—
1143C22×D4—591no—
1144C22×D4—591no—
1145C22×D4—1181no—
1146C22×D4—1181no—
1147C22×D4—1181no—
1148C22×D4—1181no—
1149C23×C4—591no—
1150C23×C4—1181no—
1151C23×C4—1181no—
1152#137—2362no—
1153AGL(1,ℤ/8)—1184no—
1154#135—2362no—
1155C2×Q16—591no—
1156C2×Q16—591no—
1157C2×Q16—591no—
1158C2×SD16—591no—
1159C2×SD16—591no—
1160C2×SD16—591no—
1161C2×SD16—591no—
1162C2×SD16C22×D5911yescharacteristic
1163C2×SD16C22×D5911yescharacteristic
1164C2×D8—591no—
1165C2×D8—591no—
1166C2×D8C22×D5911yescharacteristic
1167#131—2362no—
1168C2×M16—591no—
1169C2×M16—591no—
1170C2×M16—591no—
1171C2×M16—591no—
1172C2×M16—591no—
1173C2×M16—591no—
1174C2×M16—2362no—
1175C2×M16C22×D5911yescharacteristic
1176C2×M16C22×D5911yescharacteristic
1177C22×C8—591no—
1178C22×C8—591no—
1179C22×C8—591no—
1180C22×C8—591no—
1181C4⋊Q8—591no—
1182C4⋊Q8—591no—
1183C4⋊Q8—1181no—
1184C4⋊Q8—1181no—
1185C4⋊Q8C22×D5911yescharacteristic
1186C4⋊Q8C22×D5911yescharacteristic
1187#126—1181no—
1188#126—1181no—
1189#126—1181no—
1190#126—1181no—
1191#125—591no—
1192#125—591no—
1193#125—1181no—
1194#125—1181no—
1195#125—1181no—
1196#125—1181no—
1197#125—1181no—
1198#124—591no—
1199#124—591no—
1200#124—1181no—
1201#123—21no—
1202#123—21no—
1203#123—21no—
1204#123—21no—
1205#123—591no—
1206#123—591no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224#123—1181no—
1225#123—1181no—
1226#123—1181no—
1227#123—1181no—
1228#123—1181no—
1229C22⋊Q8—21no—
1230C22⋊Q8—591no—
1231C22⋊Q8—591no—
1232C22⋊Q8—591no—
1233C22⋊Q8—591no—
1234C22⋊Q8—591no—
1235C22⋊Q8—591no—
1236C22⋊Q8—591no—
1237C22⋊Q8—591no—
1238C22⋊Q8—591no—
1239C22⋊Q8—591no—
1240C22⋊Q8—1181no—
1241C22⋊Q8—1181no—
1242C22⋊Q8—1181no—
1243C22⋊Q8—1181no—
1244C22⋊Q8—1181no—
1245C22⋊Q8—1181no—
1246C22⋊Q8—1181no—
1247C22⋊Q8—1181no—
1248C22⋊Q8—1181no—
1249C22⋊Q8—1181no—
1250C22⋊Q8C22×D5911yescharacteristic
1251C22⋊Q8C22×D5911yescharacteristic
1252#121—21no—
1253#121—591no—
1254#121—591no—
1255#121—591no—
1256#121—591no—
1257#121—591no—
1258#121—591no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121—1181no—
1265#121—1181no—
1266#121—1181no—
1267#121—1181no—
1268#121—1181no—
1269#121—1181no—
1270#121—1181no—
1271#121C22×D5911yescharacteristic
1272#121C22×D5911yescharacteristic
1273#120—591no—
1274#120—591no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279#120—1181no—
1280#120—1181no—
1281C4×Q8—591no—
1282C4×Q8—591no—
1283C4×Q8—1181no—
1284C4×D4—591no—
1285C4×D4—591no—
1286C4×D4—591no—
1287C4×D4—591no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—591no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4—1181no—
1295C4×D4—1181no—
1296C4×D4—1181no—
1297C4×D4—1181no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4C22×D5911yescharacteristic
1307C4×D4C22×D5911yescharacteristic
1308C4×D4C22×D5911yescharacteristic
1309#117—591no—
1310#117—591no—
1311#117—591no—
1312#117—591no—
1313#117—591no—
1314#117—1181no—
1315#117—1181no—
1316#117—1181no—
1317C2×C4⋊C4—21no—
1318C2×C4⋊C4—591no—
1319C2×C4⋊C4—591no—
1320C2×C4⋊C4—591no—
1321C2×C4⋊C4—591no—
1322C2×C4⋊C4—591no—
1323C2×C4⋊C4—591no—
1324C2×C4⋊C4—1181no—
1325C2×C4⋊C4—1181no—
1326C2×C4⋊C4—1181no—
1327C2×C4⋊C4—1181no—
1328C2×C4⋊C4—1181no—
1329C2×C4⋊C4—1181no—
1330C2×C4⋊C4—1181no—
1331C2×C4⋊C4C22×D5911yescharacteristic
1332C2×C4⋊C4C22×D5911yescharacteristic
1333C2×C22⋊C4—1181no—
1334C2×C22⋊C4—1181no—
1335C2×C22⋊C4—1181no—
1336C2×C22⋊C4—1181no—
1337C2×C22⋊C4—1181no—
1338C2×C22⋊C4—1181no—
1339#107—591no—
1340#107—591no—
1341#107—591no—
1342#107C22×D5911yescharacteristic
1343#107C22×D5911yescharacteristic
1344#107C22×D5911yescharacteristic
1345#106—591no—
1346#106—591no—
1347#106—591no—
1348#106—591no—
1349#106—591no—
1350#106—591no—
1351C4⋊C8—591no—
1352C4⋊C8—591no—
1353C4⋊C8—591no—
1354C4⋊C8C22×D5911yescharacteristic
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103—591no—
1359#103—591no—
1360#103—591no—
1361#103—591no—
1362#103—591no—
1363#103—591no—
1364#103—591no—
1365#103—591no—
1366#103—591no—
1367#103—591no—
1368#103—591no—
1369#103C22×D5911yescharacteristic
1370#103C22×D5911yescharacteristic
1371#103C22×D5911yescharacteristic
1372#103C22×D5911yescharacteristic
1373#103C22×D5911yescharacteristic
1374#103C22×D5911yescharacteristic
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102—591no—
1379#102—591no—
1380#102—591no—
1381#102—591no—
1382#102—591no—
1383#102—591no—
1384#102—591no—
1385#102—591no—
1386#102—591no—
1387#102—591no—
1388#102—591no—
1389#102—591no—
1390#102—591no—
1391#102C22×D5911yescharacteristic
1392#102C22×D5911yescharacteristic
1393#102C22×D5911yescharacteristic
1394#102C22×D5911yescharacteristic
1395C22⋊C8—591no—
1396C22⋊C8—591no—
1397C22⋊C8—591no—
1398C22⋊C8—591no—
1399C22⋊C8—591no—
1400C22⋊C8—591no—
1401C22⋊C8C22×D5911yescharacteristic
1402C22⋊C8C22×D5911yescharacteristic
1403#97—591no—
1404#97—591no—
1405C4×C8—591no—
1406C4×C8C22×D5911yescharacteristic
1407C24—591no—
1408C24—1181no—
1409C24—1181no—
1410C24—1181no—
1411#41—22no—
1412#41—22no—
1413#41—41no—
1414#41—41no—
1415#41—82no—
1416#41—1182no—
1417#41—1182no—
1418#41—1182no—
1419#41—1182no—
1420#41—1182no—
1421#41—1182no—
1422#41—1182no—
1423#41—1182no—
1424#41—1182no—
1425#41—1182no—
1426#41—4722no—
1427#41—2361no—
1428#41—2364no—
1429#41—2364no—
1430#41—2361no—
1431#41—2364no—
1432#41—2361no—
1433#41—2361no—
1434C2×Q8—21no—
1435C2×Q8—591no—
1436C2×Q8—591no—
1437C2×Q8—591no—
1438C2×Q8—1181no—
1439C2×Q8—1181no—
1440C2×Q8—1182no—
1441C2×Q8—1182no—
1442C2×Q8C23×D5911yescharacteristic
1443C2×Q8C23×D5911yescharacteristic
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—594no—
1449C2×D4—591no—
1450C2×D4—591no—
1451C2×D4—591no—
1452C2×D4—591no—
1453C2×D4—591no—
1454C2×D4—591no—
1455C2×D4—591no—
1456C2×D4—591no—
1457C2×D4—1182no—
1458C2×D4—1181no—
1459C2×D4—1181no—
1460C2×D4—1181no—
1461C2×D4—1181no—
1462C2×D4—1182no—
1463C2×D4—1181no—
1464C2×D4—1181no—
1465C2×D4—1182no—
1466C2×D4—1181no—
1467C2×D4—1181no—
1468C2×D4—1181no—
1469C2×D4—1181no—
1470C2×D4—1181no—
1471C2×D4—1181no—
1472C2×D4—1181no—
1473C2×D4—2361no—
1474C2×D4—2364no—
1475C2×D4—2361no—
1476C2×D4—2364no—
1477C2×D4—2364no—
1478C2×D4—2364no—
1479C2×D4D4×D5911yescharacteristic
1480C2×D4C23×D5911yescharacteristic
1481C2×D4C23×D5911yescharacteristic
1482C22×C4—21no—
1483C22×C4—21no—
1484C22×C4—21no—
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—21no—
1488C22×C4—591no—
1489C22×C4—591no—
1490C22×C4—591no—
1491C22×C4—591no—
1492C22×C4—591no—
1493C22×C4—591no—
1494C22×C4—1182no—
1495C22×C4—1182no—
1496C22×C4—1181no—
1497C22×C4—1181no—
1498C22×C4—1181no—
1499C22×C4—1181no—
1500C22×C4—1181no—
1501C22×C4—1181no—
1502C22×C4—1181no—
1503C22×C4—1181no—
1504C22×C4—1181no—
1505C22×C4—1181no—
1506C22×C4—1181no—
1507C22×C4—1181no—
1508C22×C4—1181no—
1509C22×C4—1181no—
1510C22×C4—1181no—
1511C22×C4—1181no—
1512C22×C4—1181no—
1513C22×C4—4722no—
1514C22×C4—2364no—
1515C22×C4C23×D5911yescharacteristic
1516C22×C4C23×D5911yescharacteristic
1517Q16—2361no—
1518Q16—2361no—
1519Q16—2361no—
1520SD16—41no—
1521SD16—41no—
1522SD16—1182no—
1523SD16—1182no—
1524SD16—2361no—
1525SD16—2361no—
1526D8—22no—
1527D8—1182no—
1528D8—2361no—
1529M16—41no—
1530M16—41no—
1531M16—1182no—
1532M16—1182no—
1533M16—2361no—
1534M16—2361no—
1535M16—2361no—
1536M16—2361no—
1537C2×C8—591no—
1538C2×C8—591no—
1539C2×C8—591no—
1540C2×C8—591no—
1541C2×C8—1182no—
1542C2×C8—1182no—
1543C2×C8—2361no—
1544C2×C8—2361no—
1545C2×C8C23×D5911yescharacteristic
1546C2×C8C23×D5911yescharacteristic
1547C2×C8C23×D5911yescharacteristic
1548C2×C8C23×D5911yescharacteristic
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—591no—
1557C4⋊C4—591no—
1558C4⋊C4—591no—
1559C4⋊C4—591no—
1560C4⋊C4—591no—
1561C4⋊C4—591no—
1562C4⋊C4—591no—
1563C4⋊C4—591no—
1564C4⋊C4—591no—
1565C4⋊C4—1181no—
1566C4⋊C4—1181no—
1567C4⋊C4—1181no—
1568C4⋊C4—1181no—
1569C4⋊C4—1181no—
1570C4⋊C4—1181no—
1571C4⋊C4—1181no—
1572C4⋊C4—1181no—
1573C4⋊C4—1181no—
1574C4⋊C4—1181no—
1575C4⋊C4—1181no—
1576C4⋊C4—1181no—
1577C4⋊C4—1181no—
1578C4⋊C4—1181no—
1579C4⋊C4—1181no—
1580C4⋊C4—1181no—
1581C4⋊C4—1181no—
1582C4⋊C4—1181no—
1583C4⋊C4—1181no—
1584C4⋊C4—1181no—
1585C4⋊C4—1181no—
1586C4⋊C4—1181no—
1587C4⋊C4—1181no—
1588C4⋊C4D4×D5911yescharacteristic
1589C4⋊C4C23×D5911yescharacteristic
1590C4⋊C4C23×D5911yescharacteristic
1591C4⋊C4C23×D5911yescharacteristic
1592C4⋊C4C23×D5911yescharacteristic
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—591no—
1600C22⋊C4—591no—
1601C22⋊C4—591no—
1602C22⋊C4—591no—
1603C22⋊C4—591no—
1604C22⋊C4—591no—
1605C22⋊C4—591no—
1606C22⋊C4—591no—
1607C22⋊C4—1181no—
1608C22⋊C4—1181no—
1609C22⋊C4—1181no—
1610C22⋊C4—1181no—
1611C22⋊C4—1181no—
1612C22⋊C4—1181no—
1613C22⋊C4—1181no—
1614C22⋊C4—1181no—
1615C22⋊C4—1181no—
1616C22⋊C4—1181no—
1617C22⋊C4—1181no—
1618C22⋊C4—1181no—
1619C22⋊C4—1181no—
1620C22⋊C4—1181no—
1621C22⋊C4—1181no—
1622C22⋊C4—1181no—
1623C22⋊C4—1181no—
1624C22⋊C4—1181no—
1625C22⋊C4—1181no—
1626C22⋊C4—1181no—
1627C22⋊C4—1181no—
1628C22⋊C4—1181no—
1629C22⋊C4—1181no—
1630C22⋊C4—1181no—
1631C22⋊C4D4×D5911yescharacteristic
1632C22⋊C4D4×D5911yescharacteristic
1633C42—591no—
1634C42—1181no—
1635C42—1181no—
1636C42—1181no—
1637C42—1181no—
1638C42—1181no—
1639C42—1181no—
1640C42C23×D5911yescharacteristic
1641C23—21no—
1642C23—21no—
1643C23—591no—
1644C23—591no—
1645C23—591no—
1646C23—1184no—
1647C23—1182no—
1648C23—1181no—
1649C23—1181no—
1650C23—4721no—
1651C23—4721no—
1652C23—4721no—
1653C23—4721no—
1654C23—4721no—
1655C23—4721no—
1656C23—2361no—
1657C23—2361no—
1658C23—2362no—
1659C23—2362no—
1660C23C2×D4×D5911yescharacteristic
1661C23C2×D4×D5911yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—81no—
1667Q8—1182no—
1668Q8—1181no—
1669Q8—1181no—
1670Q8—1181no—
1671Q8—1181no—
1672Q8—4721no—
1673Q8—2362no—
1674D4—21no—
1675D4—21no—
1676D4—21no—
1677D4—41no—
1678D4—42no—
1679D4—42no—
1680D4—42no—
1681D4—81no—
1682D4—592no—
1683D4—1182no—
1684D4—1184no—
1685D4—1182no—
1686D4—1182no—
1687D4—1181no—
1688D4—1181no—
1689D4—1181no—
1690D4—4721no—
1691D4—4721no—
1692D4—4721no—
1693D4—2361no—
1694D4—2362no—
1695D4—2362no—
1696D4—2362no—
1697D4—2362no—
1698D4—2361no—
1699D4—2361no—
1700D4—2362no—
1701D4—2362no—
1702D4—2362no—
1703D4—2362no—
1704D4—2362no—
1705D4#41×D5912yes—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—42no—
1717C2×C4—42no—
1718C2×C4—42no—
1719C2×C4—81no—
1720C2×C4—81no—
1721C2×C4—81no—
1722C2×C4—591no—
1723C2×C4—592no—
1724C2×C4—592no—
1725C2×C4—591no—
1726C2×C4—591no—
1727C2×C4—591no—
1728C2×C4—591no—
1729C2×C4—1182no—
1730C2×C4—1182no—
1731C2×C4—1182no—
1732C2×C4—1181no—
1733C2×C4—1181no—
1734C2×C4—1181no—
1735C2×C4—1181no—
1736C2×C4—1181no—
1737C2×C4—1181no—
1738C2×C4—1181no—
1739C2×C4—1181no—
1740C2×C4—1181no—
1741C2×C4—1181no—
1742C2×C4—4721no—
1743C2×C4—4721no—
1744C2×C4—4721no—
1745C2×C4—4721no—
1746C2×C4—4721no—
1747C2×C4—4721no—
1748C2×C4—4721no—
1749C2×C4—4721no—
1750C2×C4—4721no—
1751C2×C4—2362no—
1752C2×C4—2362no—
1753C2×C4—2362no—
1754C2×C4—2362no—
1755C2×C4—2362no—
1756C2×C4—2362no—
1757C2×C4—2362no—
1758C2×C4—2362no—
1759C2×C4C2×D4×D5911yescharacteristic
1760C2×C4C2×D4×D5911yescharacteristic
1761C2×C4C2×D4×D5911yescharacteristic
1762C2×C4C2×D4×D5911yescharacteristic
1763C2×C4C24×D5911yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—1181no—
1769C8—1181no—
1770C8—1181no—
1771C8—1181no—
1772C22—21no—
1773C22—21no—
1774C22—22no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—592no—
1785C22—1181no—
1786C22—1181no—
1787C22—1181no—
1788C22—1181no—
1789C22—1182no—
1790C22—1181no—
1791C22—1181no—
1792C22—1181no—
1793C22—1181no—
1794C22—9442no—
1795C22—9442no—
1796C22—4724no—
1797C22—2364no—
1798C22—2361no—
1799C22—2361no—
1800C22—2361no—
1801C22—2361no—
1802C22—2361no—
1803C22C22×D4×D5911yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—592no—
1815C4—1181no—
1816C4—1181no—
1817C4—1181no—
1818C4—1181no—
1819C4—2361no—
1820C4—2361no—
1821C4—2361no—
1822C4—2361no—
1823C4—2361no—
1824C4—2361no—
1825C4C2×#41×D5911yescharacteristic
1826C4H(5,𝔽2)×D5911yescharacteristic
1827C2—41no—
1828C2—41no—
1829C2—42no—
1830C2—81no—
1831C2—1182no—
1832C2—4721no—
1833C2—2361no—
1834C2—2361no—
1835C2—2362no—
1836C2#546×D5911yescharacteristic
1837C2#2143887211yescharacteristic
1838C2#2143888111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3330C2
socleC22×C59C23×D4
hypercenter#3330D59
hypocenterC59#61177
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3330

Complements

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

NH ≅ G/Ntype
1. #21437798C2semidirect
2. #21437735C2semidirect
3. #21436411C2semidirect
4. #21436408C2semidirect
5. #21436396C2semidirect
6. #21436314C2semidirect
7. #21436313C2semidirect
8. #21436303C2semidirect
9. #21436302C2semidirect
10. #21436195C2semidirect
11. #21436192C2semidirect
12. #21436175C2semidirect
13. #21436174C2semidirect
14. #21436079C2semidirect
15. #21436076C2semidirect
16. #21436051C2semidirect
17. #21436050C2semidirect
18. #21434456C2semidirect
19. #21434064C2semidirect
20. #21434023C2semidirect
21. #21433920C2semidirect
22. #21433782C2semidirect
23. #21433700C2semidirect
24. #21433641C2semidirect
25. #21433398C2semidirect
26. #21433334C2semidirect
27. #21432921C2semidirect
28. #21432796C2semidirect
29. #21432620C2semidirect
30. #417×D59C2semidirect
31. C59×#3330C2semidirect
34. C2×#14273756C22semidirect
38. C2×M16×D59C22semidirect
39. #16838113C22semidirect
40. #16838107C22semidirect
42. #16838102C22semidirect
43. #16838099C22semidirect
45. #16838092C22semidirect
47. #16838087C22semidirect
51. #16838052C22semidirect
61. #16838029C22semidirect
70. #16837912C22semidirect
77. #16837881C22semidirect
79. C2×C4⋊C4×D59C22semidirect
80. #16837770C22semidirect
81. #16837769C22semidirect
82. #16837764C22semidirect
83. #16837763C22semidirect
84. #16837758C22semidirect
85. #16837757C22semidirect
86. #16837751C22semidirect
87. #16837745C22semidirect
88. #16837744C22semidirect
89. #16837742C22semidirect
90. #16837740C22semidirect
91. #16837739C22semidirect
92. #16837735C22semidirect
93. #16837732C22semidirect
94. #16837731C22semidirect
95. #16837731C22semidirect
96. #16837731C22semidirect
97. #16837721C22semidirect
98. #16837720C22semidirect
99. #16837717C22semidirect
100. #16837717C22semidirect
101. #16837705C22semidirect
102. #16837703C22semidirect
103. #16837702C22semidirect
104. #16837700C22semidirect
105. #16837690C22semidirect
106. #16837689C22semidirect
107. #16837681C22semidirect
108. #16837660C22semidirect
109. #16837659C22semidirect
110. #16837659C22semidirect
111. #16837658C22semidirect
112. #16837654C22semidirect
113. #16837653C22semidirect
114. #16837649C22semidirect
115. #16837648C22semidirect
116. #16837647C22semidirect
117. #16837645C22semidirect
118. #16837644C22semidirect
119. #16837641C22semidirect
120. #16837629C22semidirect
121. #16837628C22semidirect
122. #16837627C22semidirect
123. #16837625C22semidirect
124. #16837619C22semidirect
125. #16837617C22semidirect
126. #16837611C22semidirect
127. #16837609C22semidirect
128. #16837605C22semidirect
129. #16837567C22semidirect
130. #16837567C22semidirect
131. #16837566C22semidirect
132. #16837565C22semidirect
133. #16837564C22semidirect
134. #16837564C22semidirect
135. #16837555C22semidirect
136. #16837554C22semidirect
137. #16837546C22semidirect
138. #16837546C22semidirect
139. #16837545C22semidirect
140. #16837544C22semidirect
141. #16837535C22semidirect
142. #16837534C22semidirect
143. #16837514C22semidirect
144. #16837512C22semidirect
145. #16837502C22semidirect
146. #16837501C22semidirect
147. #16837493C22semidirect
148. C4×#11745660C22semidirect
149. #16837482C22semidirect
150. #16837481C22semidirect
151. #16837478C22semidirect
152. #16837478C22semidirect
153. #16837476C22semidirect
154. #16837474C22semidirect
155. #16837472C22semidirect
156. #16837470C22semidirect
157. #16837443C22semidirect
158. #16837443C22semidirect
159. #16837439C22semidirect
160. #16837427C22semidirect
161. #16837409C22semidirect
162. #16837408C22semidirect
164. #16837405C22semidirect
165. #16837404C22semidirect
166. #16837403C22semidirect
169. #16837402C22semidirect
170. #16837402C22semidirect
171. #16837402C22semidirect
172. #16837401C22semidirect
173. #16837400C22semidirect
174. #16837400C22semidirect
175. #16837398C22semidirect
177. #16837397C22semidirect
178. #16837395C22semidirect
179. #103×D59C22semidirect
180. #103×D59C22semidirect
181. C2×#14273647C22semidirect
184. #102×D59C22semidirect
186. #16837364C22semidirect
187. #16837356C22semidirect
189. C59×#547C22semidirect
190. C59×#487C22semidirect
191. C59×#484C22semidirect
192. C59×#484C22semidirect
193. C59×#474C22semidirect
194. C59×#468C22semidirect
195. C59×#468C22semidirect
196. C59×#461C22semidirect
197. C59×#449C22semidirect
198. C59×#449C22semidirect
199. C4×D8×C59C22semidirect
200. C59×#436C22semidirect
201. C59×#417C22semidirect
202. C59×#417C22semidirect
552. D4×D59#41semidirect
913. #3330D59semidirect
975. #547C2×D59semidirect
1008. #487C2×D59semidirect
1015. #484C2×D59semidirect
1016. #484C2×D59semidirect
1032. #474C2×D59semidirect
1043. #468C2×D59semidirect
1044. #468C2×D59semidirect
1056. #461C2×D59semidirect
1069. #449C2×D59semidirect
1070. #449C2×D59semidirect
1080. C4×D8C2×D59semidirect
1084. #436C2×D59semidirect
1107. #417C2×D59semidirect
1108. #417C2×D59semidirect
1122. C59#61177semidirect

Maximal subgroups

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

subgroupindex
#214377982
#214377352
#214364112
#214364082
#214363962
#214363142
#214363132
#214363032
#214363022
#214361952
#214361922
#214361752
#214361742
#214360792
#214360762
#214360512
#214360502
#214344562
#214340642
#214340232
#214339202
#214337822
#214337002
#214336412
#214333982
#214333342
#214329212
#214327962
#214326202
#417×D592
C59×#33302
#6117759