Finite Group Databasebeta

← #29484011

Subgroups — #29484011

Order 15104.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438455C211yesmaximal, characteristic, complemented
2#21438090C211yesmaximal, characteristic, complemented
3#21437170C211yesmaximal, characteristic, complemented
4#21437121C211yesmaximal, characteristic, complemented
5#21436934C211yesmaximal, characteristic, complemented
6#21436820C211yesmaximal, characteristic, complemented
7#21436429C211yesmaximal, characteristic, complemented
8#21436299C211yesmaximal, characteristic, complemented
9#21436196C211yesmaximal, characteristic, complemented
10#21436170C211yesmaximal, characteristic, complemented
11#21436112C211yesmaximal, characteristic, complemented
12#21436102C211yesmaximal, characteristic, complemented
13#21435721C211yesmaximal, characteristic, complemented
14#21435684C211yesmaximal, characteristic, complemented
15#21435645C211yesmaximal, characteristic, complemented
16#21435607C211yesmaximal, characteristic, complemented
17#21435584C211yesmaximal, characteristic, complemented
18#21435553C211yesmaximal, characteristic, complemented
19#21435520C211yesmaximal, characteristic, complemented
20#21435453C211yesmaximal, characteristic, complemented
21#21435196C211yesmaximal, characteristic, complemented
22#21435161C211yesmaximal, characteristic, complemented
23#21435137C211yesmaximal, characteristic, complemented
24#21434364C211yesmaximal, characteristic, complemented
25#21434318C211yesmaximal, characteristic, complemented
26#21434213C211yesmaximal, characteristic, complemented
27#21433632C211yesmaximal, characteristic, complemented
28#21433619C211yesmaximal, characteristic, complemented
29#21433565C211yesmaximal, characteristic, complemented
30#21433260C211yesmaximal, characteristic, complemented
31C59×#3278C211yesmaximal, characteristic, complemented
32C2×#14273758C2211yescharacteristic, complemented
33C2×#14273754C2211yescharacteristic
34C2×#14273748C2211yescharacteristic, complemented
35C22×#11745671C2211yescharacteristic
36#16838140—21no—
37#16838139—21no—
38#16838128C2211yescharacteristic, complemented
39#16838126—21no—
40#16838126C2211yescharacteristic, complemented
41#16838124C2211yescharacteristic
42#16838110—21no—
43#16838110C2211yescharacteristic, complemented
44#16838101—21no—
45#16838098—21no—
46#16838098C2211yescharacteristic, complemented
47#16838086—21no—
48#16838086C2211yescharacteristic
49#16838072C2211yescharacteristic
50#16838070C2211yescharacteristic
51#16838063C2211yescharacteristic
52#16838063C2211yescharacteristic, complemented
53#16838051C2211yescharacteristic
54#16838048C2211yescharacteristic
55#16838041—21no—
56#16838040C2211yescharacteristic
57#16838036C2211yescharacteristic
58#16838025—21no—
59#16838025C2211yescharacteristic, complemented
60#16838024C2211yescharacteristic
61#16838019C2211yescharacteristic
62#16838013—21no—
63#16838013C2211yescharacteristic, complemented
64#16837985—21no—
65#16837984—21no—
66#16837979—21no—
67#16837966C2211yescharacteristic
68#16837965—21no—
69#16837965C2211yescharacteristic
70#16837948C2211yescharacteristic
71#16837947C2211yescharacteristic
72#16837938—21no—
73#16837938C2211yescharacteristic, complemented
74#16837932—21no—
75#16837932C2211yescharacteristic
76#16837884C2211yescharacteristic, complemented
77#16837880C2211yescharacteristic, complemented
78C2×Q8×Dic59C2211yescharacteristic, complemented
79#16837795C2211yescharacteristic, complemented
80#16837794C2211yescharacteristic
81#16837788C2211yescharacteristic
82#16837788C2211yescharacteristic, complemented
83#16837787C2211yescharacteristic
84#16837769C2211yescharacteristic, complemented
85#16837766C2211yescharacteristic, complemented
86#16837765C2211yescharacteristic
87#16837763C2211yescharacteristic
88#16837757C2211yescharacteristic
89#16837747C2211yescharacteristic, complemented
90#16837744C2211yescharacteristic, complemented
91#16837736C2211yescharacteristic, complemented
92#16837723C2211yescharacteristic
93#16837717C2211yescharacteristic
94#16837716C2211yescharacteristic
95#16837713C2211yescharacteristic, complemented
96#16837709C2211yescharacteristic, complemented
97#16837705C2211yescharacteristic
98#16837704C2211yescharacteristic, complemented
99#16837703C2211yescharacteristic, complemented
100#16837696C2211yescharacteristic, complemented
101#16837695C2211yescharacteristic, complemented
102#16837695C2211yescharacteristic, complemented
103#16837685C2211yescharacteristic, complemented
104#16837681C2211yescharacteristic, complemented
105#16837680C2211yescharacteristic, complemented
106#16837657C2211yescharacteristic, complemented
107#16837655C2211yescharacteristic
108#16837653C2211yescharacteristic, complemented
109#16837651C2211yescharacteristic
110#16837650C2211yescharacteristic
111#16837648C2211yescharacteristic, complemented
112#16837641C2211yescharacteristic, complemented
113#16837640C2211yescharacteristic, complemented
114#16837636C2211yescharacteristic
115#16837634C2211yescharacteristic
116#16837627C2211yescharacteristic, complemented
117#16837626C2211yescharacteristic
118#16837626C2211yescharacteristic
119#16837626C2211yescharacteristic, complemented
120#16837626C2211yescharacteristic, complemented
121#16837626C2211yescharacteristic, complemented
122#16837624C2211yescharacteristic
123#16837622C2211yescharacteristic, complemented
124#16837622C2211yescharacteristic, complemented
125#16837622C2211yescharacteristic, complemented
126#16837620C2211yescharacteristic
127#16837620C2211yescharacteristic, complemented
128#16837619C2211yescharacteristic, complemented
129#16837619C2211yescharacteristic, complemented
130#16837618C2211yescharacteristic
131#16837616C2211yescharacteristic, complemented
132#16837610C2211yescharacteristic, complemented
133#16837610C2211yescharacteristic, complemented
134#16837604C2211yescharacteristic, complemented
135#16837600C2211yescharacteristic
136#16837600C2211yescharacteristic
137#16837600C2211yescharacteristic
138#16837600C2211yescharacteristic
139#16837600C2211yescharacteristic
140#16837600C2211yescharacteristic, complemented
141#16837600C2211yescharacteristic, complemented
142#16837596C2211yescharacteristic
143#16837594C2211yescharacteristic, complemented
144#16837563C2211yescharacteristic, complemented
145#16837562C2211yescharacteristic, complemented
146#16837561C2211yescharacteristic, complemented
147#16837561C2211yescharacteristic, complemented
148#16837558C2211yescharacteristic, complemented
149#16837552C2211yescharacteristic
150#16837551C2211yescharacteristic
151#16837551C2211yescharacteristic
152#16837550C2211yescharacteristic
153#16837549C2211yescharacteristic, complemented
154#16837547C2211yescharacteristic, complemented
155#16837547C2211yescharacteristic, complemented
156#16837541C2211yescharacteristic
157#16837538C2211yescharacteristic
158#16837532C2211yescharacteristic, complemented
159#16837531C2211yescharacteristic, complemented
160#16837506C2211yescharacteristic, complemented
161#16837505C2211yescharacteristic
162#16837505C2211yescharacteristic
163#16837503C2211yescharacteristic, complemented
164#16837503C2211yescharacteristic, complemented
165#16837503C2211yescharacteristic, complemented
166#16837500C2211yescharacteristic, complemented
167#16837500C2211yescharacteristic, complemented
168#16837494C2211yescharacteristic, complemented
169SD16×Dic59C2211yescharacteristic, complemented
170C4×D472C2211yescharacteristic, complemented
171#16837478C2211yescharacteristic, complemented
172#16837476C2211yescharacteristic, complemented
173#16837474C2211yescharacteristic, complemented
174#16837471C2211yescharacteristic
175#16837470C2211yescharacteristic
176#16837461C2211yescharacteristic, complemented
177#16837460C2211yescharacteristic, complemented
178#16837456C2211yescharacteristic, complemented
179#16837430C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837425C2211yescharacteristic, complemented
182#16837408C2211yescharacteristic
183#16837404C2211yescharacteristic, complemented
184#16837403C2211yescharacteristic, complemented
185#16837400C2211yescharacteristic, complemented
186#16837398C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic
188C2×#137×C59C2211yescharacteristic, complemented
189C2×#137×C59C2211yescharacteristic, complemented
190C59×#550C2211yescharacteristic
191D4×Q8×C59C2211yescharacteristic, complemented
192C59×#492C2211yescharacteristic, complemented
193C59×#468C2211yescharacteristic
194C59×#468C2211yescharacteristic, complemented
195C59×#462C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#448C2211yescharacteristic
200C59×#448C2211yescharacteristic, complemented
201C4×Q16×C59C2211yescharacteristic, complemented
202C59×#436C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C2×#11745687—21no—
206C2×#11745687—21no—
207C2×#11745687C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C2×D4×D59—21no—
210C2×D4×D59C2311yescharacteristic
211#14273758—42no—
212#14273754—42no—
213#14273748—42no—
214C2×#11745672C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745660C2311yescharacteristic
218C2×#11745671—42no—
219C2×#11745671C2311yescharacteristic
220C2×#11745671C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×D472C2311yescharacteristic
227C2×D472C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745664C2311yescharacteristic
231C2×#11745659C2311yescharacteristic
232C22×C59⋊C8C2311yescharacteristic
233C2×C8×D59C2311yescharacteristic
234#14273726—21no—
235#14273726C2311yescharacteristic
236#14273726C2311yescharacteristic
237#14273725C2311yescharacteristic
238#14273723—21no—
239#14273723C2311yescharacteristic
240#14273723C2311yescharacteristic
241#14273723C2311yescharacteristic
242#14273722—21no—
243#14273722—21no—
244#14273722—21no—
245#14273722—21no—
246#14273722—21no—
247#14273722—21no—
248#14273722—21no—
249#14273722—21no—
250#14273722D411yescharacteristic
251#14273721—21no—
252#14273721—21no—
253#14273720—21no—
254#14273720—21no—
255#14273720D411yescharacteristic
256#14273719—21no—
257#14273719C2311yescharacteristic
258#14273718—21no—
259#14273718C2311yescharacteristic
260#14273717—21no—
261#14273717—21no—
262#14273717—21no—
263#14273717—21no—
264#14273717D411yescharacteristic
265#14273716—21no—
266#14273716—21no—
267#14273716C2311yescharacteristic
268#14273716C2311yescharacteristic
269#14273716C2311yescharacteristic
270#14273716C2311yescharacteristic
271#14273715—21no—
272#14273715C2311yescharacteristic
273#14273714—21no—
274#14273714C2311yescharacteristic
275#14273713—21no—
276#14273713—21no—
277#14273713D411yescharacteristic
278#14273712—21no—
279#14273712—21no—
280#14273711—21no—
281#14273711D411yescharacteristic
282#14273710—21no—
283#14273710—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709—21no—
287#14273708—21no—
288#14273708—21no—
289#14273708D411yescharacteristic
290#14273707—21no—
291#14273707—21no—
292#14273707—21no—
293#14273706C2311yescharacteristic
294#14273705—21no—
295#14273705—21no—
296#14273704—21no—
297#14273704—21no—
298#14273704D411yescharacteristic
299#14273703—21no—
300#14273703—21no—
301#14273703C2311yescharacteristic
302#14273703C2311yescharacteristic
303#14273703C2311yescharacteristic
304#14273702C2311yescharacteristic
305#14273701—21no—
306#14273701—21no—
307#14273701—21no—
308#14273701—21no—
309#14273701C2311yescharacteristic
310#14273701C2311yescharacteristic
311#14273701C2311yescharacteristic
312#14273700—21no—
313#14273700—21no—
314#14273700—21no—
315#14273699—21no—
316#14273699—21no—
317#14273699—21no—
318#14273699—21no—
319#14273699—21no—
320#14273699—21no—
321#14273699—21no—
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699D411yescharacteristic
327#14273698—21no—
328#14273697—21no—
329#14273695—21no—
330#14273695—21no—
331#14273695—21no—
332#14273695—21no—
333#14273695—21no—
334#14273695—21no—
335#14273695—21no—
336Q8×Dic59—21no—
337Q8×Dic59—21no—
338Q8×Dic59—21no—
339Q8×Dic59—21no—
340Q8×Dic59C2311yescharacteristic
341Q8×Dic59C2311yescharacteristic
342Q8×Dic59C2311yescharacteristic
343Q8×Dic59C2311yescharacteristic
344Q8×Dic59C2311yescharacteristic
345Q8×Dic59C2311yescharacteristic
346Q8×Dic59C2311yescharacteristic
347C4×Dic118—21no—
348C4×Dic118C2311yescharacteristic
349#14273692C2311yescharacteristic
350C4×D236—21no—
351C4×D236C2311yescharacteristic
352C4×D236C2311yescharacteristic
353D4×Dic59C2311yescharacteristic
354D4×Dic59C2311yescharacteristic
355#14273689—21no—
356#14273689C2311yescharacteristic
357#14273689C2311yescharacteristic
358C4×C22⋊D59—21no—
359C4×C22⋊D59—21no—
360C4×C22⋊D59—21no—
361C4×C22⋊D59—21no—
362C4×C22⋊D59C2311yescharacteristic
363C4×C22⋊D59C2311yescharacteristic
364(C22⋊D59)⋊C4—21no—
365(C22⋊D59)⋊C4—21no—
366(C22⋊D59)⋊C4—21no—
367(C22⋊D59)⋊C4—21no—
368(C22⋊D59)⋊C4—21no—
369#14273686—21no—
370#14273686—21no—
371#14273686C2311yescharacteristic
372#14273686C2311yescharacteristic
373#14273685—21no—
374#14273685—21no—
375#14273685—21no—
376#14273684—21no—
377#14273684—21no—
378#14273684C2311yescharacteristic
379C2×C4⋊Dic59—21no—
380C2×C4⋊Dic59C2311yescharacteristic
381C2×Dic59⋊C4—21no—
382C4⋊C4×D59—21no—
383C4⋊C4×D59C2311yescharacteristic
384C2×(C2×D59)⋊C4—21no—
385C22⋊C4×D59—21no—
386C2×C4×Dic59—21no—
387C2×C4×Dic59C2311yescharacteristic
388#14273661C2311yescharacteristic
389#14273661C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273659C2311yescharacteristic
394#14273658C2311yescharacteristic
395C4⋊(C59⋊C8)C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434#14273638C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437#14273637C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59C2311yescharacteristic
440C2×#41×C59C2311yescharacteristic
441C22×Q8×C59C2311yescharacteristic
442C22×Q8×C59C2311yescharacteristic
443#137×C59—42no—
444#137×C59—42no—
445C2×Q16×C59C2311yescharacteristic
446C2×Q16×C59C2311yescharacteristic
447C2×Q16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×M16×C59C2311yescharacteristic
455C2×M16×C59C2311yescharacteristic
456C4⋊Q8×C59—21no—
457C4⋊Q8×C59C2311yescharacteristic
458#127×C59—21no—
459#127×C59C2311yescharacteristic
460C22⋊Q8×C59—21no—
461C22⋊Q8×C59—21no—
462C22⋊Q8×C59C2311yescharacteristic
463C22⋊Q8×C59C2311yescharacteristic
464#121×C59—21no—
465#121×C59—21no—
466#121×C59C2311yescharacteristic
467#121×C59C2311yescharacteristic
468C4×Q8×C59C2311yescharacteristic
469C4×Q8×C59C2311yescharacteristic
470C4×D4×C59—21no—
471C4×D4×C59—21no—
472C4×D4×C59C2311yescharacteristic
473#107×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486#41×C59—41no—
487#41×C59—41no—
488#41×C59—41no—
489#41×C59—41no—
490C2×Q8×C59—21no—
491C2×Q8×C59—21no—
492C2×Q8×C59—22no—
493C2×Q8×C59—22no—
494C2×Q8×C59—41no—
495C2×Q8×C59—41no—
496C2×Q8×C59C2411yescharacteristic
497C2×Q8×C59C2411yescharacteristic
498C2×Q8×C59C2411yescharacteristic
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×C59—21no—
506C2×D4×C59C2×D411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59C2411yescharacteristic
514C22×C4×C59C2411yescharacteristic
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⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59C2×D411yescharacteristic
528C2×C22⋊D59C2×D411yescharacteristic
529C22×Dic59—21no—
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59C2×D411yescharacteristic
534C22×Dic59C2×D411yescharacteristic
535#11745689—22no—
536#11745689—41no—
537#11745687—41no—
538#11745687—41no—
539#11745687—82no—
540#11745687—82no—
541D4×D59—41no—
542D4×D59—41no—
543D4×D59—82no—
544#11745685—41no—
545#11745685—41no—
546C2×D236—21no—
547C2×D236—21no—
548C2×D236—21no—
549C2×D236—41no—
550C2×D236—41no—
551C2×D236C2411yescharacteristic
552C2×D236C2411yescharacteristic
553C2×D236C2411yescharacteristic
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59C2411yescharacteristic
562C2×Dic118—21no—
563C2×Dic118—21no—
564C2×Dic118C2×D411yescharacteristic
565C2×Dic118C2411yescharacteristic
566Q16×C59—22no—
567Q16×C59—41no—
568Q16×C59—41no—
569SD16×C59—22no—
570SD16×C59—22no—
571SD16×C59—41no—
572SD16×C59—41no—
573SD16×C59—41no—
574SD16×C59—41no—
575M16×C59—41no—
576M16×C59—41no—
577C2×C8×C59C2411yescharacteristic
578C2×C8×C59C2411yescharacteristic
579C2×C8×C59C2411yescharacteristic
580C2×C8×C59C2411yescharacteristic
581C4⋊C4×C59—21no—
582C4⋊C4×C59—21no—
583C4⋊C4×C59—21no—
584C4⋊C4×C59—21no—
585C4⋊C4×C59—21no—
586C4⋊C4×C59—21no—
587C4⋊C4×C59C2×D411yescharacteristic
588C4⋊C4×C59C2411yescharacteristic
589C4⋊C4×C59C2411yescharacteristic
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59C2×D411yescharacteristic
595C22⋊C4×C59C2×D411yescharacteristic
596C42×C59—21no—
597C42×C59—21no—
598C42×C59C2411yescharacteristic
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59C2×D411yescharacteristic
606C22⋊Dic59C2×D411yescharacteristic
607C22⋊Dic59C2×D411yescharacteristic
608C22⋊Dic59C2×D411yescharacteristic
609#11745672—22no—
610#11745672—41no—
611#11745672—41no—
612#11745671—22no—
613#11745671—22no—
614#11745671—41no—
615#11745671—41no—
616#11745671—41no—
617#11745671—41no—
618#11745671—41no—
619#11745669—41no—
620#11745669—41no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4C2×D411yescharacteristic
643(C2×D59)⋊C4C2×D411yescharacteristic
644(C2×D59)⋊C4C2×D411yescharacteristic
645(C2×D59)⋊C4C2×D411yescharacteristic
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59—21no—
649C4⋊Dic59—21no—
650C4⋊Dic59—21no—
651C4⋊Dic59—21no—
652C4⋊Dic59—21no—
653C4⋊Dic59—21no—
654C4⋊Dic59—21no—
655C4⋊Dic59C2×D411yescharacteristic
656C4⋊Dic59C2×D411yescharacteristic
657C4⋊Dic59C2×D411yescharacteristic
658C4⋊Dic59C2411yescharacteristic
659C4⋊Dic59C2411yescharacteristic
660C4⋊Dic59C2411yescharacteristic
661C4⋊Dic59C2411yescharacteristic
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4C2×D411yescharacteristic
676Dic59⋊C4C2×D411yescharacteristic
677Dic59⋊C4C2×D411yescharacteristic
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59—21no—
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2×D411yescharacteristic
692C4×Dic59C2411yescharacteristic
693C4×Dic59C2411yescharacteristic
694C4×Dic59C2411yescharacteristic
695#11745664—41no—
696C2×C59⋊C8—41no—
697C2×C59⋊C8C2411yescharacteristic
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701D472—41no—
702D472—41no—
703#11745660—41no—
704#11745659—41no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59C22×D411yescharacteristic
709C23×C59C22×D411yescharacteristic
710C22×D59—21no—
711C22×D59—21no—
712C22×D59—21no—
713C22×D59—81no—
714C22×D59—81no—
715C22×D59—81no—
716C22×D59—81no—
717C22×D59—81no—
718C22×D59—81no—
719C22×D59C22×D411yescharacteristic
720Q8×C59—21no—
721Q8×C59—21no—
722Q8×C59—21no—
723Q8×C59—21no—
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—21no—
727Q8×C59—42no—
728Q8×C59—42no—
729Q8×C59H(5,𝔽2)12yes—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—41no—
735D4×C59—81no—
736D4×C59—81no—
737D4×C59—81no—
738D4×C59—81no—
739D4×C59—81no—
740D4×C59—81no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—42no—
752C2×C4×C59—42no—
753C2×C4×C59—81no—
754C2×C4×C59—81no—
755C2×C4×C59C22×D411yescharacteristic
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C22×D411yescharacteristic
758C2×C4×C59C22×D411yescharacteristic
759C2×C4×C59C2511yescharacteristic
760C22⋊D59—41no—
761C22⋊D59—41no—
762C22⋊D59—42no—
763C22⋊D59—42no—
764C22⋊D59—81no—
765C22⋊D59—81no—
766C22⋊D59—81no—
767C22⋊D59—81no—
768C22⋊D59—81no—
769C22⋊D59—81no—
770C22⋊D59—81no—
771C22⋊D59—81no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—21no—
779C2×Dic59—41no—
780C2×Dic59—41no—
781C2×Dic59—42no—
782C2×Dic59—81no—
783C2×Dic59—81no—
784C2×Dic59—81no—
785C2×Dic59C22×D411yescharacteristic
786C2×Dic59C22×D411yescharacteristic
787C2×Dic59C22×D411yescharacteristic
788C2×Dic59C22×D411yescharacteristic
789C2×Dic59C22×D411yescharacteristic
790C2×Dic59C22×D411yescharacteristic
791C2×Dic59C22×D411yescharacteristic
792D236—21no—
793D236—21no—
794D236—21no—
795D236—21no—
796D236—21no—
797D236—21no—
798D236—42no—
799D236—81no—
800D236—81no—
801C4×D59—21no—
802C4×D59—21no—
803C4×D59—42no—
804C4×D59—42no—
805C4×D59—81no—
806C4×D59—81no—
807C4×D59—81no—
808C4×D59—81no—
809C4×D59—81no—
810Dic118—21no—
811Dic118—21no—
812Dic118—41no—
813Dic118—81no—
814Dic118—81no—
815C8×C59—21no—
816C8×C59—21no—
817C8×C59—21no—
818C8×C59—21no—
819C59⋊C8—21no—
820C59⋊C8—21no—
821C59⋊C8—21no—
822C59⋊C8—21no—
823#62085—591nomaximal, Sylow
824C22×C59—21no—
825C22×C59—21no—
826C22×C59—21no—
827C22×C59—21no—
828C22×C59—21no—
829C22×C59—21no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59C23×D411yescharacteristic
837C2×D59—21no—
838C2×D59—21no—
839C2×D59—21no—
840C2×D59—41no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—162no—
850C2×D59—162no—
851C4×C59—21no—
852C4×C59—21no—
853C4×C59—22no—
854C4×C59—21no—
855C4×C59—21no—
856C4×C59—41no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59—41no—
861C4×C59C2×H(5,𝔽2)11yescharacteristic
862C4×C59#58511yescharacteristic
863Dic59—21no—
864Dic59—21no—
865Dic59—21no—
866Dic59—21no—
867Dic59—21no—
868Dic59—21no—
869Dic59—21no—
870Dic59—41no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875#3546—591no—
876#3516—591no—
877#3402—591no—
878#3397—591no—
879#3377—591no—
880#3368—591no—
881#3333—591no—
882#3322—591no—
883#3315—591no—
884#3314—591no—
885#3310—591no—
886#3309—591no—
887#3278D5911yescharacteristic, complemented
888#3275—591no—
889#3271—591no—
890#3269—591no—
891#3266—591no—
892#3265—591no—
893#3262—591no—
894#3258—591no—
895#3251—591no—
896#3224—591no—
897#3222—591no—
898#3219—591no—
899#3124—591no—
900#3121—591no—
901#3112—591no—
902#3045—591no—
903#3043—591no—
904#3037—591no—
905#2995—591no—
906C2×C59—41no—
907C2×C59—41no—
908C2×C59—81no—
909C2×C59—81no—
910C2×C59#348811yescharacteristic
911C2×C59#358511yescharacteristic
912C2×C59#358611yescharacteristic
913D59—41no—
914D59—81no—
915D59—81no—
916D59—81no—
917C2×#137—591no—
918C2×#137C2×D5911yescharacteristic, complemented
919C2×#137C2×D5911yescharacteristic, complemented
920C2×AGL(1,ℤ/8)—591no—
921C2×#135—591no—
922C22×SD16—591no—
923#560—1181no—
924#560—1181no—
925#557—591no—
926#556—591no—
927#556—591no—
928#556—1181no—
929#554—591no—
930#554—1181no—
931#553—591no—
932#553—1181no—
933#553—1181no—
934#552—591no—
935#552—1181no—
936#550—591no—
937#550—591no—
938#550C2×D5911yescharacteristic
939D4×Q8C2×D5911yescharacteristic, complemented
940#548—591no—
941#548—591no—
942#547—591no—
943#546—591no—
944#546—591no—
945#546—1181no—
946D42—591no—
947#542—591no—
948#542—591no—
949#542—591no—
950#542—1181no—
951#541—591no—
952#541—1181no—
953#538—1181no—
954#538—1181no—
955#537—1181no—
956#535—591no—
957#535—591no—
958#535—1181no—
959#532—591no—
960#532—591no—
961#529—591no—
962#529—591no—
963#529—1181no—
964#529—1181no—
965#520—591no—
966#519—591no—
967C2×C4×Q8—591no—
968#497—591no—
969#497—591no—
970#496—591no—
971#496—591no—
972#495—591no—
973#492C2×D5911yescharacteristic, complemented
974#491—591no—
975#490—591no—
976#490—591no—
977#489—591no—
978#488—591no—
979#486—591no—
980#485—591no—
981#484—591no—
982#482—591no—
983#480—591no—
984#480—591no—
985#480—591no—
986#479—591no—
987#478—591no—
988#478—591no—
989#478—591no—
990#477—591no—
991#477—591no—
992#477—591no—
993#475—591no—
994#474—591no—
995#474—591no—
996#470—591no—
997#469—591no—
998#469—591no—
999#468—591no—
1000#468—591no—
1001#468—591no—
1002#468C2×D5911yescharacteristic
1003#468C2×D5911yescharacteristic, complemented
1004#467—591no—
1005#467—591no—
1006#466—591no—
1007#465—591no—
1008#464—591no—
1009#464—591no—
1010#464—591no—
1011#464—591no—
1012#464—591no—
1013#464—591no—
1014#464—591no—
1015#464—591no—
1016#464—591no—
1017#464—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#463—591no—
1024#462—591no—
1025#462—591no—
1026#462C2×D5911yescharacteristic, complemented
1027#461—591no—
1028#460—591no—
1029#460—591no—
1030#460—591no—
1031#460—591no—
1032#460—591no—
1033#460—591no—
1034#460—591no—
1035#460C2×D5911yescharacteristic, complemented
1036#459—591no—
1037#459—591no—
1038#452—591no—
1039#452—591no—
1040#452—591no—
1041#452—591no—
1042#452C2×D5911yescharacteristic, complemented
1043#452C2×D5911yescharacteristic, complemented
1044#451—591no—
1045#450—591no—
1046#450—591no—
1047#450—591no—
1048#449—591no—
1049#449—591no—
1050#449—591no—
1051#449—591no—
1052#448—591no—
1053#448C2×D5911yescharacteristic
1054#448C2×D5911yescharacteristic, complemented
1055#447—591no—
1056#446—591no—
1057#446—591no—
1058#441—591no—
1059#440—591no—
1060#440—591no—
1061#440—591no—
1062#440—591no—
1063#440—591no—
1064#440—591no—
1065#440—591no—
1066C4×Q16—591no—
1067C4×Q16C2×D5911yescharacteristic, complemented
1068C4×SD16—591no—
1069C4×D8—591no—
1070#436—591no—
1071#436C2×D5911yescharacteristic, complemented
1072#435—591no—
1073#435—591no—
1074#435—591no—
1075#435—591no—
1076#433—591no—
1077#433—591no—
1078#432—591no—
1079#424—591no—
1080#424—591no—
1081#423—591no—
1082#418—591no—
1083#417—591no—
1084#417—591no—
1085#417—591no—
1086#416—591no—
1087C2×#102—591no—
1088C59#6208511yescharacteristic, complemented, Sylow
1089C2×#41—591no—
1090C2×#41—591no—
1091C2×#41—591no—
1092C2×#41—1181no—
1093C2×#41—1181no—
1094C2×#41C22×D5911yescharacteristic
1095C2×#41C22×D5911yescharacteristic
1096C22×Q8C22×D5911yescharacteristic
1097C22×Q8C22×D5911yescharacteristic
1098C22×D4—591no—
1099C22×D4—591no—
1100C22×D4—1181no—
1101#137—42no—
1102#137—42no—
1103#137—2362no—
1104AGL(1,ℤ/8)—2362no—
1105#135—2362no—
1106C2×Q16—591no—
1107C2×Q16—591no—
1108C2×Q16—591no—
1109C2×Q16C22×D5911yescharacteristic
1110C2×Q16C22×D5911yescharacteristic
1111C2×Q16C22×D5911yescharacteristic
1112C2×SD16—591no—
1113C2×SD16—591no—
1114C2×SD16—591no—
1115C2×SD16—591no—
1116C2×SD16—591no—
1117C2×SD16—591no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—2362no—
1121C2×SD16C22×D5911yescharacteristic
1122C2×SD16C22×D5911yescharacteristic
1123C2×SD16C22×D5911yescharacteristic
1124C2×SD16C22×D5911yescharacteristic
1125C2×SD16C22×D5911yescharacteristic
1126C2×SD16C22×D5911yescharacteristic
1127C2×D8—591no—
1128C2×D8—591no—
1129C2×D8—591no—
1130C2×D8—591no—
1131C2×M16—591no—
1132C2×M16—591no—
1133C2×M16C22×D5911yescharacteristic
1134C2×M16C22×D5911yescharacteristic
1135C22×C8—591no—
1136C22×C8—591no—
1137C4⋊Q8—21no—
1138C4⋊Q8—591no—
1139C4⋊Q8—591no—
1140C4⋊Q8—591no—
1141C4⋊Q8—1181no—
1142C4⋊Q8C22×D5911yescharacteristic
1143#127—21no—
1144#127—591no—
1145#127—591no—
1146#127—591no—
1147#127—1181no—
1148#127C22×D5911yescharacteristic
1149#126—591no—
1150#126—591no—
1151#126—1181no—
1152#126—1181no—
1153#126—1181no—
1154#126—1181no—
1155#126—1181no—
1156#126—1181no—
1157#126—1181no—
1158#126—1181no—
1159#126—1181no—
1160#126—1181no—
1161#126—1181no—
1162#126—1181no—
1163#125—591no—
1164#125—591no—
1165#125—591no—
1166#125—1181no—
1167#125—1181no—
1168#125—1181no—
1169#125—1181no—
1170#125—1181no—
1171#125—1181no—
1172#124—591no—
1173#124—591no—
1174#124—591no—
1175#124—591no—
1176#124—591no—
1177#124—591no—
1178#124—591no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124—1181no—
1183#124—1181no—
1184#124—1181no—
1185#123—591no—
1186#123—591no—
1187#123—1181no—
1188#123—1181no—
1189#123—1181no—
1190#123—1181no—
1191#123—1181no—
1192#123—1181no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197C22⋊Q8—21no—
1198C22⋊Q8—21no—
1199C22⋊Q8—591no—
1200C22⋊Q8—591no—
1201C22⋊Q8—591no—
1202C22⋊Q8—591no—
1203C22⋊Q8—591no—
1204C22⋊Q8—1181no—
1205C22⋊Q8—1181no—
1206C22⋊Q8—1181no—
1207C22⋊Q8—1181no—
1208C22⋊Q8—1181no—
1209C22⋊Q8—1181no—
1210C22⋊Q8—1181no—
1211C22⋊Q8—1181no—
1212C22⋊Q8—1181no—
1213C22⋊Q8C22×D5911yescharacteristic
1214C22⋊Q8C22×D5911yescharacteristic
1215#121—21no—
1216#121—21no—
1217#121—591no—
1218#121—591no—
1219#121—591no—
1220#121—591no—
1221#121—591no—
1222#121—1181no—
1223#121—1181no—
1224#121—1181no—
1225#121—1181no—
1226#121—1181no—
1227#121—1181no—
1228#121—1181no—
1229#121—1181no—
1230#121—1181no—
1231#121—1181no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121C22×D5911yescharacteristic
1242#121C22×D5911yescharacteristic
1243#120—1181no—
1244#120—1181no—
1245#120—1181no—
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251C4×Q8—591no—
1252C4×Q8—591no—
1253C4×Q8—591no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8—591no—
1258C4×Q8—591no—
1259C4×Q8—591no—
1260C4×Q8—1181no—
1261C4×Q8—1181no—
1262C4×Q8—1181no—
1263C4×Q8—1181no—
1264C4×Q8—1181no—
1265C4×Q8C22×D5911yescharacteristic
1266C4×Q8C22×D5911yescharacteristic
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—591no—
1276C4×D4—591no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4C22×D5911yescharacteristic
1289#117—591no—
1290#117—591no—
1291#117—591no—
1292#117—1181no—
1293#117—1181no—
1294#117—1181no—
1295#117—1181no—
1296#117—1181no—
1297#117—1181no—
1298#117—1181no—
1299C2×C4⋊C4—591no—
1300C2×C4⋊C4—591no—
1301C2×C4⋊C4—1181no—
1302C2×C4⋊C4—1181no—
1303C2×C4⋊C4—1181no—
1304C2×C22⋊C4—1181no—
1305C2×C22⋊C4—1181no—
1306C2×C42—591no—
1307C2×C42—1181no—
1308#107—591no—
1309#107—591no—
1310#107—591no—
1311#107—591no—
1312#107—591no—
1313#107C22×D5911yescharacteristic
1314#106—591no—
1315#106—591no—
1316C4⋊C8—591no—
1317C4⋊C8—591no—
1318C4⋊C8—591no—
1319C4⋊C8—591no—
1320C4⋊C8—591no—
1321C4⋊C8—591no—
1322C4⋊C8—591no—
1323C4⋊C8—591no—
1324C4⋊C8—591no—
1325C4⋊C8C22×D5911yescharacteristic
1326#103—591no—
1327#103—591no—
1328#103—591no—
1329#103—591no—
1330#103—591no—
1331#103—591no—
1332#103—591no—
1333#103—591no—
1334#103—591no—
1335#103—591no—
1336#103C22×D5911yescharacteristic
1337#103C22×D5911yescharacteristic
1338#103C22×D5911yescharacteristic
1339#103C22×D5911yescharacteristic
1340#102—591no—
1341#102—591no—
1342#102—591no—
1343#102—591no—
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102—591no—
1356#102C22×D5911yescharacteristic
1357#102C22×D5911yescharacteristic
1358C22⋊C8—591no—
1359C22⋊C8—591no—
1360C22⋊C8—591no—
1361C22⋊C8—591no—
1362C22⋊C8C22×D5911yescharacteristic
1363C22⋊C8C22×D5911yescharacteristic
1364#97—591no—
1365#97—591no—
1366#97—591no—
1367#97—591no—
1368C4×C8—591no—
1369C4×C8C22×D5911yescharacteristic
1370C24—1181no—
1371C24—1181no—
1372#41—41no—
1373#41—41no—
1374#41—41no—
1375#41—41no—
1376#41—1182no—
1377#41—4722no—
1378#41—4722no—
1379#41—2361no—
1380#41—2361no—
1381#41—2361no—
1382#41—2361no—
1383#41—2361no—
1384C2×Q8—21no—
1385C2×Q8—21no—
1386C2×Q8—22no—
1387C2×Q8—22no—
1388C2×Q8—41no—
1389C2×Q8—41no—
1390C2×Q8—591no—
1391C2×Q8—591no—
1392C2×Q8—1181no—
1393C2×Q8—1181no—
1394C2×Q8C23×D5911yescharacteristic
1395C2×Q8C23×D5911yescharacteristic
1396C2×Q8C23×D5911yescharacteristic
1397C2×Q8C23×D5911yescharacteristic
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—591no—
1405C2×D4—591no—
1406C2×D4—591no—
1407C2×D4—591no—
1408C2×D4—591no—
1409C2×D4—1181no—
1410C2×D4—1181no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—4722no—
1425C2×D4—2361no—
1426C2×D4—2361no—
1427C2×D4—2361no—
1428C2×D4—2361no—
1429C2×D4D4×D5911yescharacteristic
1430C2×D4C23×D5911yescharacteristic
1431C2×D4C23×D5911yescharacteristic
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—591no—
1437C22×C4—591no—
1438C22×C4—591no—
1439C22×C4—1181no—
1440C22×C4—1181no—
1441C22×C4—1181no—
1442C22×C4—1181no—
1443C22×C4—1181no—
1444C22×C4—1181no—
1445C22×C4—1181no—
1446C22×C4—1181no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4C23×D5911yescharacteristic
1451C22×C4C23×D5911yescharacteristic
1452Q16—22no—
1453Q16—41no—
1454Q16—41no—
1455Q16—1182no—
1456Q16—2361no—
1457Q16—2361no—
1458SD16—22no—
1459SD16—22no—
1460SD16—41no—
1461SD16—41no—
1462SD16—41no—
1463SD16—41no—
1464SD16—1182no—
1465SD16—1182no—
1466SD16—2361no—
1467SD16—2361no—
1468SD16—2361no—
1469SD16—2361no—
1470SD16—2361no—
1471SD16—2361no—
1472D8—2361no—
1473D8—2361no—
1474D8—2361no—
1475D8—2361no—
1476M16—41no—
1477M16—41no—
1478M16—2361no—
1479M16—2361no—
1480C2×C8—591no—
1481C2×C8—591no—
1482C2×C8—591no—
1483C2×C8—591no—
1484C2×C8—2361no—
1485C2×C8—2361no—
1486C2×C8C23×D5911yescharacteristic
1487C2×C8C23×D5911yescharacteristic
1488C2×C8C23×D5911yescharacteristic
1489C2×C8C23×D5911yescharacteristic
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—591no—
1497C4⋊C4—591no—
1498C4⋊C4—591no—
1499C4⋊C4—591no—
1500C4⋊C4—591no—
1501C4⋊C4—591no—
1502C4⋊C4—591no—
1503C4⋊C4—591no—
1504C4⋊C4—591no—
1505C4⋊C4—591no—
1506C4⋊C4—591no—
1507C4⋊C4—591no—
1508C4⋊C4—591no—
1509C4⋊C4—1181no—
1510C4⋊C4—1181no—
1511C4⋊C4—1181no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4—1181no—
1521C4⋊C4—1181no—
1522C4⋊C4—1181no—
1523C4⋊C4—1181no—
1524C4⋊C4—1181no—
1525C4⋊C4—1181no—
1526C4⋊C4—1181no—
1527C4⋊C4—1181no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4D4×D5911yescharacteristic
1532C4⋊C4C23×D5911yescharacteristic
1533C4⋊C4C23×D5911yescharacteristic
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—591no—
1539C22⋊C4—591no—
1540C22⋊C4—591no—
1541C22⋊C4—591no—
1542C22⋊C4—591no—
1543C22⋊C4—591no—
1544C22⋊C4—591no—
1545C22⋊C4—591no—
1546C22⋊C4—1181no—
1547C22⋊C4—1181no—
1548C22⋊C4—1181no—
1549C22⋊C4—1181no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4D4×D5911yescharacteristic
1574C22⋊C4D4×D5911yescharacteristic
1575C42—21no—
1576C42—21no—
1577C42—591no—
1578C42—591no—
1579C42—591no—
1580C42—591no—
1581C42—591no—
1582C42—1181no—
1583C42—1181no—
1584C42—1181no—
1585C42—1181no—
1586C42—1181no—
1587C42—1181no—
1588C42—1181no—
1589C42—1181no—
1590C42—1181no—
1591C42C23×D5911yescharacteristic
1592C23—21no—
1593C23—21no—
1594C23—591no—
1595C23—1181no—
1596C23—1181no—
1597C23—1181no—
1598C23—4721no—
1599C23—4721no—
1600C23—4721no—
1601C23—4721no—
1602C23—4721no—
1603C23—4721no—
1604C23C2×D4×D5911yescharacteristic
1605C23C2×D4×D5911yescharacteristic
1606Q8—21no—
1607Q8—21no—
1608Q8—21no—
1609Q8—21no—
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—42no—
1614Q8—42no—
1615Q8—1181no—
1616Q8—1181no—
1617Q8—4721no—
1618Q8—4721no—
1619Q8—2361no—
1620Q8#1427377212yes—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—41no—
1626D4—81no—
1627D4—81no—
1628D4—81no—
1629D4—81no—
1630D4—81no—
1631D4—81no—
1632D4—1181no—
1633D4—1181no—
1634D4—1181no—
1635D4—1181no—
1636D4—1181no—
1637D4—1181no—
1638D4—4721no—
1639D4—4721no—
1640D4—4721no—
1641D4—4721no—
1642D4—4721no—
1643D4—4721no—
1644D4—4721no—
1645D4—4721no—
1646D4—4721no—
1647D4—4721no—
1648D4—4721no—
1649D4—4721no—
1650D4—2362no—
1651D4—2361no—
1652D4—2361no—
1653D4—2362no—
1654D4—2362no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—42no—
1666C2×C4—42no—
1667C2×C4—81no—
1668C2×C4—81no—
1669C2×C4—591no—
1670C2×C4—591no—
1671C2×C4—591no—
1672C2×C4—591no—
1673C2×C4—591no—
1674C2×C4—591no—
1675C2×C4—591no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—1181no—
1683C2×C4—4721no—
1684C2×C4—4721no—
1685C2×C4—4721no—
1686C2×C4—4721no—
1687C2×C4—4721no—
1688C2×C4—4721no—
1689C2×C4—4721no—
1690C2×C4—4721no—
1691C2×C4—2362no—
1692C2×C4—2362no—
1693C2×C4—2361no—
1694C2×C4—2361no—
1695C2×C4—2362no—
1696C2×C4C2×D4×D5911yescharacteristic
1697C2×C4C2×D4×D5911yescharacteristic
1698C2×C4C2×D4×D5911yescharacteristic
1699C2×C4C2×D4×D5911yescharacteristic
1700C2×C4C24×D5911yescharacteristic
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—1181no—
1706C8—1181no—
1707C8—1181no—
1708C8—1181no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—1181no—
1722C22—1181no—
1723C22—1181no—
1724C22—9442no—
1725C22—9442no—
1726C22—2361no—
1727C22—2361no—
1728C22—2361no—
1729C22—2361no—
1730C22—2361no—
1731C22—2361no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22C22×D4×D5911yescharacteristic
1736C4—21no—
1737C4—21no—
1738C4—22no—
1739C4—21no—
1740C4—21no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—1181no—
1747C4—1181no—
1748C4—1181no—
1749C4—1181no—
1750C4—1181no—
1751C4—1181no—
1752C4—1181no—
1753C4—2361no—
1754C4—2361no—
1755C4—2361no—
1756C4—2361no—
1757C4—2361no—
1758C4C2×#1427377211yescharacteristic
1759C4#1683823711yescharacteristic
1760C2—41no—
1761C2—41no—
1762C2—81no—
1763C2—81no—
1764C2—4721no—
1765C2—4721no—
1766C2—4721no—
1767C2—2361no—
1768C2#2143775611yescharacteristic
1769C2#2143887411yescharacteristic
1770C2#2143887911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3278C2
socleC22×C59C23×D4
hypercenter#3278D59
hypocenterC59#62085
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3278

Complements

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

NH ≅ G/Ntype
1. #21438455C2semidirect
2. #21438090C2semidirect
3. #21437170C2semidirect
4. #21437121C2semidirect
5. #21436934C2semidirect
6. #21436820C2semidirect
7. #21436429C2semidirect
8. #21436299C2semidirect
9. #21436196C2semidirect
10. #21436170C2semidirect
11. #21436112C2semidirect
12. #21436102C2semidirect
13. #21435721C2semidirect
14. #21435684C2semidirect
15. #21435645C2semidirect
16. #21435607C2semidirect
17. #21435584C2semidirect
18. #21435553C2semidirect
19. #21435520C2semidirect
20. #21435453C2semidirect
21. #21435196C2semidirect
22. #21435161C2semidirect
23. #21435137C2semidirect
24. #21434364C2semidirect
25. #21434318C2semidirect
26. #21434213C2semidirect
27. #21433632C2semidirect
28. #21433619C2semidirect
29. #21433565C2semidirect
30. #21433260C2semidirect
31. C59×#3278C2semidirect
32. C2×#14273758C22semidirect
34. C2×#14273748C22semidirect
38. #16838128C22semidirect
40. #16838126C22semidirect
43. #16838110C22semidirect
46. #16838098C22semidirect
52. #16838063C22semidirect
59. #16838025C22semidirect
63. #16838013C22semidirect
73. #16837938C22semidirect
76. #16837884C22semidirect
77. #16837880C22semidirect
78. C2×Q8×Dic59C22semidirect
79. #16837795C22semidirect
82. #16837788C22semidirect
84. #16837769C22semidirect
85. #16837766C22semidirect
89. #16837747C22semidirect
90. #16837744C22semidirect
91. #16837736C22semidirect
95. #16837713C22semidirect
96. #16837709C22semidirect
98. #16837704C22semidirect
99. #16837703C22semidirect
100. #16837696C22semidirect
101. #16837695C22semidirect
102. #16837695C22semidirect
103. #16837685C22semidirect
104. #16837681C22semidirect
105. #16837680C22semidirect
106. #16837657C22semidirect
108. #16837653C22semidirect
111. #16837648C22semidirect
112. #16837641C22semidirect
113. #16837640C22semidirect
116. #16837627C22semidirect
119. #16837626C22semidirect
120. #16837626C22semidirect
121. #16837626C22semidirect
123. #16837622C22semidirect
124. #16837622C22semidirect
125. #16837622C22semidirect
127. #16837620C22semidirect
128. #16837619C22semidirect
129. #16837619C22semidirect
131. #16837616C22semidirect
132. #16837610C22semidirect
133. #16837610C22semidirect
134. #16837604C22semidirect
140. #16837600C22semidirect
141. #16837600C22semidirect
143. #16837594C22semidirect
144. #16837563C22semidirect
145. #16837562C22semidirect
146. #16837561C22semidirect
147. #16837561C22semidirect
148. #16837558C22semidirect
153. #16837549C22semidirect
154. #16837547C22semidirect
155. #16837547C22semidirect
158. #16837532C22semidirect
159. #16837531C22semidirect
160. #16837506C22semidirect
163. #16837503C22semidirect
164. #16837503C22semidirect
165. #16837503C22semidirect
166. #16837500C22semidirect
167. #16837500C22semidirect
168. #16837494C22semidirect
169. SD16×Dic59C22semidirect
170. C4×D472C22semidirect
171. #16837478C22semidirect
172. #16837476C22semidirect
173. #16837474C22semidirect
176. #16837461C22semidirect
177. #16837460C22semidirect
178. #16837456C22semidirect
179. #16837430C22semidirect
180. #16837427C22semidirect
181. #16837425C22semidirect
183. #16837404C22semidirect
184. #16837403C22semidirect
185. #16837400C22semidirect
186. #16837398C22semidirect
188. C2×#137×C59C22semidirect
189. C2×#137×C59C22semidirect
191. D4×Q8×C59C22semidirect
192. C59×#492C22semidirect
194. C59×#468C22semidirect
195. C59×#462C22semidirect
196. C59×#460C22semidirect
197. C59×#452C22semidirect
198. C59×#452C22semidirect
200. C59×#448C22semidirect
201. C4×Q16×C59C22semidirect
202. C59×#436C22semidirect
887. #3278D59semidirect
918. C2×#137C2×D59semidirect
919. C2×#137C2×D59semidirect
939. D4×Q8C2×D59semidirect
973. #492C2×D59semidirect
1003. #468C2×D59semidirect
1026. #462C2×D59semidirect
1035. #460C2×D59semidirect
1042. #452C2×D59semidirect
1043. #452C2×D59semidirect
1054. #448C2×D59semidirect
1067. C4×Q16C2×D59semidirect
1071. #436C2×D59semidirect
1088. C59#62085semidirect

Maximal subgroups

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

subgroupindex
#214384552
#214380902
#214371702
#214371212
#214369342
#214368202
#214364292
#214362992
#214361962
#214361702
#214361122
#214361022
#214357212
#214356842
#214356452
#214356072
#214355842
#214355532
#214355202
#214354532
#214351962
#214351612
#214351372
#214343642
#214343182
#214342132
#214336322
#214336192
#214335652
#214332602
C59×#32782
#6208559