Finite Group Databasebeta

← #29481235

Subgroups — #29481235

Order 15104.

1930 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438056C211yesmaximal, characteristic, complemented
2#21437705C211yesmaximal, characteristic, complemented
3#21437156C211yesmaximal, characteristic, complemented
4#21436925C211yesmaximal, characteristic, complemented
5#21436843C211yesmaximal, characteristic, complemented
6#21436356C211yesmaximal, characteristic, complemented
7#21436302C211yesmaximal, characteristic, complemented
8#21436272C211yesmaximal, characteristic, complemented
9#21436244C211yesmaximal, characteristic, complemented
10#21436214C211yesmaximal, characteristic, complemented
11#21436182C211yesmaximal, characteristic, complemented
12#21435726C211yesmaximal, characteristic, complemented
13#21435702C211yesmaximal, characteristic, complemented
14#21435601C211yesmaximal, characteristic, complemented
15#21435590C211yesmaximal, characteristic, complemented
16#21435575C211yesmaximal, characteristic, complemented
17#21435571C211yesmaximal, characteristic, complemented
18#21435495C211yesmaximal, characteristic, complemented
19#21435454C211yesmaximal, characteristic, complemented
20#21435445C211yesmaximal, characteristic, complemented
21#21435128C211yesmaximal, characteristic, complemented
22#21435078C211yesmaximal, characteristic, complemented
23#21435056C211yesmaximal, characteristic, complemented
24#21434238C211yesmaximal, characteristic, complemented
25#21434203C211yesmaximal, characteristic, complemented
26#21434141C211yesmaximal, characteristic, complemented
27#21433587C211yesmaximal, characteristic, complemented
28#21433555C211yesmaximal, characteristic, complemented
29#463×D59C211yesmaximal, characteristic, complemented
30#21433212C211yesmaximal, characteristic, complemented
31C59×#3403C211yesmaximal, characteristic, complemented
32C2×#14273759C2211yescharacteristic, complemented
33C2×#14273754C2211yescharacteristic
34C2×#14273751C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic, complemented
36C2×SD16×D59C2211yescharacteristic, complemented
37C2×D8×D59C2211yescharacteristic
38#16838125C2211yescharacteristic, complemented
39#16838117—21no—
40#16838112C2211yescharacteristic, complemented
41#16838112C2211yescharacteristic, complemented
42#16838102—21no—
43#16838102C2211yescharacteristic
44#16838102C2211yescharacteristic, complemented
45#16838080—21no—
46#16838080—21no—
47#16838075—21no—
48#16838075—21no—
49Q8×D236C2211yescharacteristic, complemented
50#16838060C2211yescharacteristic
51#16838060C2211yescharacteristic, complemented
52#16838047C2211yescharacteristic
53#16838047C2211yescharacteristic, complemented
54#16838045—21no—
55#16838045—21no—
56#16838045C2211yescharacteristic
57#16838045C2211yescharacteristic, complemented
58#16838037C2211yescharacteristic, complemented
59#16838037C2211yescharacteristic, complemented
60#16838021—21no—
61#16837988—21no—
62#16837988—21no—
63#16837950C2211yescharacteristic, complemented
64#16837950C2211yescharacteristic, complemented
65#16837939C2211yescharacteristic, complemented
66#16837934C2211yescharacteristic, complemented
67#16837934C2211yescharacteristic, complemented
68#16837931—21no—
69#16837931C2211yescharacteristic, complemented
70#16837931C2211yescharacteristic, complemented
71#124×D59C2211yescharacteristic, complemented
72#124×D59C2211yescharacteristic, complemented
73#16837910—21no—
74#16837910—21no—
75#16837874—21no—
76C4×#11745689C2211yescharacteristic
77C4×#11745689C2211yescharacteristic, complemented
78C4×D4×D59—21no—
79C4×D4×D59C2211yescharacteristic, complemented
80C4×D4×D59C2211yescharacteristic, complemented
81#16837797C2211yescharacteristic, complemented
82#16837789C2211yescharacteristic
83#16837784C2211yescharacteristic, complemented
84#16837771C2211yescharacteristic, complemented
85#16837766C2211yescharacteristic, complemented
86#16837762C2211yescharacteristic, complemented
87#16837761C2211yescharacteristic, complemented
88#16837757C2211yescharacteristic, complemented
89#16837756C2211yescharacteristic, complemented
90#16837745C2211yescharacteristic, complemented
91#16837739C2211yescharacteristic, complemented
92#16837731C2211yescharacteristic, complemented
93#16837724C2211yescharacteristic, complemented
94#16837719C2211yescharacteristic, complemented
95#16837717C2211yescharacteristic, complemented
96#16837711C2211yescharacteristic, complemented
97#16837710C2211yescharacteristic, complemented
98#16837709C2211yescharacteristic, complemented
99#16837705C2211yescharacteristic, complemented
100#16837704C2211yescharacteristic, complemented
101#16837704C2211yescharacteristic, complemented
102#16837703C2211yescharacteristic, complemented
103#16837702C2211yescharacteristic, complemented
104#16837688C2211yescharacteristic, complemented
105#16837682C2211yescharacteristic, complemented
106#16837657C2211yescharacteristic, complemented
107#16837654C2211yescharacteristic
108#16837652C2211yescharacteristic, complemented
109#16837652C2211yescharacteristic, complemented
110#16837651C2211yescharacteristic, complemented
111#16837647C2211yescharacteristic, complemented
112#16837647C2211yescharacteristic, complemented
113#16837645C2211yescharacteristic, complemented
114#16837642C2211yescharacteristic, complemented
115#16837635C2211yescharacteristic
116#16837630C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837626C2211yescharacteristic, complemented
119#16837624C2211yescharacteristic, complemented
120#16837622C2211yescharacteristic, complemented
121#16837622C2211yescharacteristic, complemented
122#16837621C2211yescharacteristic, complemented
123#16837620C2211yescharacteristic
124#16837619C2211yescharacteristic, complemented
125#16837619C2211yescharacteristic, complemented
126#16837618C2211yescharacteristic
127#16837618C2211yescharacteristic
128#16837617C2211yescharacteristic, complemented
129#16837616C2211yescharacteristic, complemented
130#16837616C2211yescharacteristic, complemented
131#16837615C2211yescharacteristic, complemented
132#16837615C2211yescharacteristic, complemented
133#16837615C2211yescharacteristic, complemented
134#16837615C2211yescharacteristic, complemented
135#16837614C2211yescharacteristic, complemented
136#16837614C2211yescharacteristic, complemented
137#16837614C2211yescharacteristic, complemented
138#16837608C2211yescharacteristic, complemented
139#16837607C2211yescharacteristic, complemented
140#16837599C2211yescharacteristic, complemented
141#16837594C2211yescharacteristic
142#16837567C2211yescharacteristic, complemented
143#16837561C2211yescharacteristic, complemented
144#16837561C2211yescharacteristic, complemented
145#16837556C2211yescharacteristic, complemented
146#16837554C2211yescharacteristic, complemented
147#16837551C2211yescharacteristic, complemented
148#16837551C2211yescharacteristic, complemented
149#16837546C2211yescharacteristic
150#16837544C2211yescharacteristic, complemented
151#16837544C2211yescharacteristic, complemented
152#16837539C2211yescharacteristic, complemented
153#16837539C2211yescharacteristic, complemented
154#16837539C2211yescharacteristic, complemented
155#16837537C2211yescharacteristic
156#16837534C2211yescharacteristic
157#16837534C2211yescharacteristic
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837533C2211yescharacteristic, complemented
161#16837515C2211yescharacteristic
162#16837512C2211yescharacteristic, complemented
163#16837512C2211yescharacteristic, complemented
164#16837507C2211yescharacteristic, complemented
165#16837504C2211yescharacteristic, complemented
166#16837500C2211yescharacteristic, complemented
167C4×#11745660C2211yescharacteristic, complemented
168C4×#11745670C2211yescharacteristic, complemented
169C4×#11745669C2211yescharacteristic, complemented
170#16837481C2211yescharacteristic, complemented
171#16837479C2211yescharacteristic, complemented
172#16837475C2211yescharacteristic, complemented
173#16837475C2211yescharacteristic, complemented
174#16837472C2211yescharacteristic, complemented
175#16837472C2211yescharacteristic, complemented
176#16837457C2211yescharacteristic, complemented
177#16837457C2211yescharacteristic, complemented
178#16837453C2211yescharacteristic, complemented
179#16837424C2211yescharacteristic, complemented
180#16837424C2211yescharacteristic, complemented
181C4⋊C8×D59C2211yescharacteristic, complemented
182#16837409C2211yescharacteristic, complemented
183#16837405C2211yescharacteristic, complemented
184#16837400C2211yescharacteristic, complemented
185#16837400C2211yescharacteristic, complemented
186#103×D59C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C59×#559C2211yescharacteristic, complemented
189C59×#559C2211yescharacteristic, complemented
190C59×#496C2211yescharacteristic, complemented
191C59×#496C2211yescharacteristic, complemented
192C59×#495C2211yescharacteristic, complemented
193C59×#464C2211yescharacteristic, complemented
194C59×#464C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#459C2211yescharacteristic, complemented
198C59×#459C2211yescharacteristic, complemented
199C59×#446C2211yescharacteristic, complemented
200C59×#440C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C4×D8×C59C2211yescharacteristic, complemented
203C2×#11745689D411yescharacteristic
204C2×#11745689C2311yescharacteristic
205C2×#11745687—21no—
206C2×#11745687C2311yescharacteristic
207C2×#11745687C2311yescharacteristic
208C2×Q8×D59C2311yescharacteristic
209C2×Q8×D59C2311yescharacteristic
210C2×D4×D59—21no—
211C2×D4×D59—21no—
212C2×D4×D59C2311yescharacteristic
213C2×D4×D59C2311yescharacteristic
214C2×D4×D59C2311yescharacteristic
215C2×D4×D59C2311yescharacteristic
216C22×C4×D59—21no—
217C22×C4×D59—21no—
218#14273759—42no—
219#14273754—42no—
220#14273751—42no—
221#14273751—42no—
222C2×#11745672C2311yescharacteristic
223C2×#11745672C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232SD16×D59—42no—
233C2×D472C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238D8×D59—42no—
239C2×#11745659C2311yescharacteristic
240C2×#11745659C2311yescharacteristic
241C2×#11745659C2311yescharacteristic
242C2×#11745659C2311yescharacteristic
243C2×C8×D59C2311yescharacteristic
244C2×C8×D59C2311yescharacteristic
245#14273727—21no—
246#14273727C2311yescharacteristic
247#14273727C2311yescharacteristic
248#14273722—21no—
249#14273722—21no—
250#14273722—21no—
251#14273720—21no—
252#14273720—21no—
253#14273720—21no—
254#14273720—21no—
255#14273720—21no—
256#14273720—21no—
257#14273719—21no—
258#14273719C2311yescharacteristic
259#14273719C2311yescharacteristic
260#14273718C2311yescharacteristic
261#14273716C2311yescharacteristic
262#14273715C2311yescharacteristic
263#14273715C2311yescharacteristic
264#14273714—21no—
265#14273714C2311yescharacteristic
266#14273714C2311yescharacteristic
267#14273713—21no—
268#14273713—21no—
269#14273713—21no—
270#14273713—21no—
271#14273713—21no—
272#14273713—21no—
273#14273712—21no—
274#14273711—21no—
275#14273711—21no—
276#14273710—21no—
277#14273710—21no—
278#14273709—21no—
279#14273709—21no—
280#14273709—21no—
281#14273709—21no—
282#14273709—21no—
283#14273709—21no—
284#14273707—21no—
285#14273707—21no—
286#14273707C2311yescharacteristic
287#14273707C2311yescharacteristic
288#14273705—21no—
289#14273705—21no—
290#14273705—21no—
291#14273705—21no—
292#14273704—21no—
293#14273704—21no—
294#14273703—21no—
295#14273703—21no—
296#14273703C2311yescharacteristic
297#14273703C2311yescharacteristic
298#14273703C2311yescharacteristic
299#14273702C2311yescharacteristic
300#14273701—21no—
301#14273701—21no—
302#14273700—21no—
303#14273700—21no—
304#14273700—21no—
305#14273700—21no—
306#14273700—21no—
307#14273700—21no—
308#14273698—21no—
309#14273698—21no—
310#14273698—21no—
311#14273698—21no—
312#14273698—21no—
313#14273698C2311yescharacteristic
314#14273698C2311yescharacteristic
315#14273698C2311yescharacteristic
316#14273698C2311yescharacteristic
317#14273698C2311yescharacteristic
318#14273698C2311yescharacteristic
319#14273697—21no—
320#14273697—21no—
321#14273697—21no—
322#14273697—21no—
323#14273695—21no—
324#14273695—21no—
325#14273695—21no—
326#14273695—21no—
327Q8×Dic59D411yescharacteristic
328Q8×Dic59C2311yescharacteristic
329C4×Dic118C2311yescharacteristic
330C4×Dic118C2311yescharacteristic
331C4×D236—21no—
332C4×D236—21no—
333C4×D236—21no—
334C4×D236—21no—
335C4×D236C2311yescharacteristic
336C4×D236C2311yescharacteristic
337C4×D236C2311yescharacteristic
338C4×D236C2311yescharacteristic
339C4×D236C2311yescharacteristic
340C4×D236C2311yescharacteristic
341C4×D236C2311yescharacteristic
342D4×Dic59—21no—
343D4×Dic59—21no—
344D4×Dic59—21no—
345D4×Dic59C2311yescharacteristic
346D4×Dic59C2311yescharacteristic
347#14273689—21no—
348#14273689D411yescharacteristic
349#14273689D411yescharacteristic
350#14273689D411yescharacteristic
351#14273689C2311yescharacteristic
352C4×C22⋊D59—21no—
353C4×C22⋊D59—21no—
354C4×C22⋊D59—21no—
355C4×C22⋊D59—21no—
356C4×C22⋊D59—21no—
357C4×C22⋊D59—21no—
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4—21no—
361(C22⋊D59)⋊C4—21no—
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4—21no—
364#14273686—21no—
365#14273686—21no—
366#14273685—21no—
367#14273685—21no—
368#14273685D411yescharacteristic
369#14273685D411yescharacteristic
370#14273685D411yescharacteristic
371#14273685C2311yescharacteristic
372#14273684—21no—
373#14273683—21no—
374#14273683—21no—
375C4⋊C4×D59—21no—
376C4⋊C4×D59C2311yescharacteristic
377C4⋊C4×D59C2311yescharacteristic
378C2×(C2×D59)⋊C4—21no—
379C2×(C2×D59)⋊C4—21no—
380C22⋊C4×D59—21no—
381C22⋊C4×D59—21no—
382C22⋊C4×D59—21no—
383C22⋊C4×D59—21no—
384C22⋊C4×D59—21no—
385C22⋊C4×D59—21no—
386C22⋊C4×D59—21no—
387C22⋊C4×D59—21no—
388C42×D59—21no—
389C42×D59C2311yescharacteristic
390C42×D59C2311yescharacteristic
391C42×D59C2311yescharacteristic
392#14273661C2311yescharacteristic
393#14273660C2311yescharacteristic
394#14273660C2311yescharacteristic
395#14273659C2311yescharacteristic
396#14273659C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399C4⋊(C59⋊C8)C2311yescharacteristic
400C4⋊(C59⋊C8)C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438#14273638C2311yescharacteristic
439#14273638C2311yescharacteristic
440C4×C59⋊C8C2311yescharacteristic
441C2×Q16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×D8×C59C2311yescharacteristic
447C2×D8×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450#127×C59C2311yescharacteristic
451#127×C59C2311yescharacteristic
452#124×C59—21no—
453#124×C59—21no—
454#124×C59C2311yescharacteristic
455#124×C59C2311yescharacteristic
456#124×C59C2311yescharacteristic
457#124×C59C2311yescharacteristic
458#123×C59—21no—
459#123×C59—21no—
460#123×C59—21no—
461#123×C59—21no—
462C4×Q8×C59C2311yescharacteristic
463C4×Q8×C59C2311yescharacteristic
464C4×Q8×C59C2311yescharacteristic
465C4×D4×C59—21no—
466C4×D4×C59—21no—
467C4×D4×C59C2311yescharacteristic
468C4×D4×C59C2311yescharacteristic
469C4×D4×C59C2311yescharacteristic
470C4×D4×C59C2311yescharacteristic
471#107×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#97×C59C2311yescharacteristic
482#97×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488C2×Q8×C59C2×D411yescharacteristic
489C2×Q8×C59C2411yescharacteristic
490C2×Q8×C59C2411yescharacteristic
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59C2411yescharacteristic
496C2×D4×C59C2411yescharacteristic
497C2×D4×C59C2411yescharacteristic
498C2×D4×C59C2411yescharacteristic
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59—21no—
502C22×C4×C59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C22×Dic59—21no—
516C22×Dic59—21no—
517C22×Dic59—21no—
518C22×Dic59—21no—
519#11745689—22no—
520#11745689—42no—
521#11745689—41no—
522Q8×D59—41no—
523Q8×D59—41no—
524Q8×D59—41no—
525Q8×D59—41no—
526#11745687—41no—
527#11745687—41no—
528#11745687—41no—
529#11745687—41no—
530#11745687—82no—
531D4×D59—22no—
532D4×D59—22no—
533D4×D59—41no—
534D4×D59—41no—
535D4×D59—41no—
536D4×D59—41no—
537D4×D59—41no—
538D4×D59—41no—
539D4×D59—44no—
540D4×D59—44no—
541C2×D236—21no—
542C2×D236—21no—
543C2×D236C2×D411yescharacteristic
544C2×D236C2×D411yescharacteristic
545C2×D236C2×D411yescharacteristic
546C2×D236C2411yescharacteristic
547C2×D236C2411yescharacteristic
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—82no—
559C2×C4×D59—82no—
560C2×C4×D59C2×D411yescharacteristic
561C2×C4×D59C2×D411yescharacteristic
562C2×C4×D59C2×D411yescharacteristic
563C2×C4×D59C2×D411yescharacteristic
564C2×C4×D59C2×D411yescharacteristic
565C2×C4×D59C2×D411yescharacteristic
566C2×C4×D59C2411yescharacteristic
567C2×C4×D59C2411yescharacteristic
568C2×C4×D59C2411yescharacteristic
569C2×Dic118—21no—
570C2×Dic118—21no—
571C2×Dic118—21no—
572C2×Dic118C2411yescharacteristic
573C2×Dic118C2411yescharacteristic
574Q16×C59—41no—
575SD16×C59—41no—
576SD16×C59—41no—
577SD16×C59—41no—
578SD16×C59—41no—
579D8×C59—41no—
580D8×C59—41no—
581D8×C59—41no—
582D8×C59—41no—
583C2×C8×C59C2411yescharacteristic
584C2×C8×C59C2411yescharacteristic
585C2×C8×C59C2411yescharacteristic
586C2×C8×C59C2411yescharacteristic
587C4⋊C4×C59—21no—
588C4⋊C4×C59—21no—
589C4⋊C4×C59C2×D411yescharacteristic
590C4⋊C4×C59C2×D411yescharacteristic
591C4⋊C4×C59C2×D411yescharacteristic
592C4⋊C4×C59C2411yescharacteristic
593C4⋊C4×C59C2411yescharacteristic
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59—21no—
606C42×C59—21no—
607C42×C59—21no—
608C42×C59C2411yescharacteristic
609C42×C59C2411yescharacteristic
610C42×C59C2411yescharacteristic
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623#11745672—41no—
624#11745672—41no—
625#11745671—22no—
626#11745671—41no—
627#11745670—41no—
628#11745670—41no—
629#11745670—41no—
630#11745670—41no—
631#11745669—22no—
632#11745669—22no—
633#11745669—41no—
634#11745669—41no—
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)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
654(C2×D59)⋊C4C2×D411yescharacteristic
655(C2×D59)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
657(C2×D59)⋊C4C2×D411yescharacteristic
658(C2×D59)⋊C4C2×D411yescharacteristic
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59—21no—
664C4⋊Dic59—21no—
665C4⋊Dic59—21no—
666C4⋊Dic59C2×D411yescharacteristic
667C4⋊Dic59C2×D411yescharacteristic
668C4⋊Dic59C2×D411yescharacteristic
669C4⋊Dic59C2411yescharacteristic
670C4⋊Dic59C2411yescharacteristic
671C4⋊Dic59C2411yescharacteristic
672C4⋊Dic59C2411yescharacteristic
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
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—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59C2×D411yescharacteristic
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2×D411yescharacteristic
692C4×Dic59C2×D411yescharacteristic
693C4×Dic59C2×D411yescharacteristic
694C4×Dic59C2×D411yescharacteristic
695C4×Dic59C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700D472—22no—
701#11745660—22no—
702#11745660—22no—
703#11745659—41no—
704#11745659—41no—
705#11745659—41no—
706#11745659—41no—
707C8×D59—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—21no—
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—42no—
716C22×D59—42no—
717C22×D59—42no—
718C22×D59—42no—
719C22×D59—42no—
720C22×D59—42no—
721C22×D59—81no—
722C22×D59—81no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59C22×D411yescharacteristic
728C22×D59C22×D411yescharacteristic
729C22×D59C22×D411yescharacteristic
730Q8×C59—21no—
731Q8×C59—21no—
732Q8×C59—21no—
733Q8×C59—21no—
734Q8×C59—41no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—21no—
743D4×C59—42no—
744D4×C59—42no—
745D4×C59—81no—
746D4×C59—81no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—81no—
752C2×C4×C59—81no—
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×C59C22×D411yescharacteristic
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C2511yescharacteristic
762C22⋊D59—42no—
763C22⋊D59—42no—
764C22⋊D59—42no—
765C22⋊D59—42no—
766C22⋊D59—42no—
767C22⋊D59—42no—
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—21no—
780C2×Dic59—42no—
781C2×Dic59—42no—
782C2×Dic59—81no—
783C2×Dic59—81no—
784C2×Dic59C22×D411yescharacteristic
785C2×Dic59C22×D411yescharacteristic
786C2×Dic59C22×D411yescharacteristic
787C2×Dic59C22×D411yescharacteristic
788C2×Dic59C22×D411yescharacteristic
789D236—22no—
790D236—22no—
791D236—21no—
792D236—21no—
793D236—21no—
794D236—41no—
795D236—42no—
796D236—81no—
797D236H(5,𝔽2)12yes—
798C4×D59—22no—
799C4×D59—21no—
800C4×D59—21no—
801C4×D59—21no—
802C4×D59—21no—
803C4×D59—21no—
804C4×D59—21no—
805C4×D59—41no—
806C4×D59—41no—
807C4×D59—41no—
808C4×D59—41no—
809C4×D59—41no—
810C4×D59—42no—
811C4×D59—42no—
812C4×D59—42no—
813C4×D59—42no—
814C4×D59—81no—
815C4×D59—81no—
816C4×D59—81no—
817C4×D59—81no—
818C4×D59—81no—
819C4×D59—81no—
820Dic118—21no—
821Dic118—21no—
822Dic118—21no—
823Dic118—21no—
824Dic118—81no—
825Dic118—81no—
826Dic118—81no—
827C8×C59—21no—
828C8×C59—21no—
829C8×C59—21no—
830C8×C59—21no—
831C59⋊C8—21no—
832C59⋊C8—21no—
833C59⋊C8—21no—
834C59⋊C8—21no—
835#61971—591nomaximal, Sylow
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59C23×D411yescharacteristic
849C2×D59—21no—
850C2×D59—21no—
851C2×D59—21no—
852C2×D59—21no—
853C2×D59—21no—
854C2×D59—21no—
855C2×D59—22no—
856C2×D59—21no—
857C2×D59—21no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—84no—
864C2×D59—84no—
865C2×D59—162no—
866C2×D59—162no—
867C2×D59#57512yes—
868C4×C59—21no—
869C4×C59—21no—
870C4×C59—21no—
871C4×C59—21no—
872C4×C59—21no—
873C4×C59—21no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59—41no—
878C4×C59C2×H(5,𝔽2)11yescharacteristic
879C4×C59#58511yescharacteristic
880Dic59—21no—
881Dic59—21no—
882Dic59—21no—
883Dic59—21no—
884Dic59—21no—
885Dic59—41no—
886Dic59—41no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891#3514—591no—
892#3481—591no—
893#3403D5911yescharacteristic, complemented
894#3401—591no—
895#3376—591no—
896#3370—591no—
897#3326—591no—
898#3322—591no—
899#3320—591no—
900#3318—591no—
901#3316—591no—
902#3314—591no—
903#3275—591no—
904#3273—591no—
905#3266—591no—
906#3265—591no—
907#3264—591no—
908#3264—591no—
909#3256—591no—
910#3251—591no—
911#3250—591no—
912#3219—591no—
913#3213—591no—
914#3211—591no—
915#3114—591no—
916#3111—591no—
917#3105—591no—
918#3040—591no—
919#3036—591no—
920C2×#463—591no—
921#2989—591no—
922C2×C59—81no—
923C2×C59—81no—
924C2×C59—81no—
925C2×C59—81no—
926C2×C59#348811yescharacteristic
927C2×C59C2×#57511yescharacteristic
928C2×C59#358511yescharacteristic
929D59—22no—
930D59—41no—
931D59—41no—
932D59—42no—
933D59—81no—
934C2×#137—591no—
935C2×AGL(1,ℤ/8)—591no—
936C2×AGL(1,ℤ/8)—591no—
937C2×AGL(1,ℤ/8)—591no—
938C22×SD16—591no—
939C22×D8—591no—
940#559C2×D5911yescharacteristic, complemented
941#559C2×D5911yescharacteristic, complemented
942#556—591no—
943#555—1181no—
944#554—591no—
945#554—591no—
946#553—591no—
947#553—591no—
948#553—1181no—
949#551—1181no—
950#551—1181no—
951#551—1181no—
952#551—1181no—
953D4×Q8—591no—
954#548—591no—
955#548—591no—
956#546—591no—
957#546—591no—
958#546—591no—
959#546—591no—
960#546—1181no—
961#546—1181no—
962D42—591no—
963D42—591no—
964#542—1181no—
965#538—1181no—
966#538—1181no—
967#532—591no—
968#532—591no—
969#529—591no—
970#529—591no—
971#529—591no—
972#529—591no—
973#529—591no—
974#529—1181no—
975C2×#124—591no—
976C2×#124—591no—
977#525—1181no—
978#525—1181no—
979#518—1181no—
980C4×#41—591no—
981C4×#41—591no—
982C2×C4×D4—591no—
983C2×C4×D4—591no—
984C2×C4×D4—1181no—
985#497—591no—
986#496—591no—
987#496C2×D5911yescharacteristic, complemented
988#496C2×D5911yescharacteristic, complemented
989#495—591no—
990#495C2×D5911yescharacteristic, complemented
991#491—591no—
992#490—591no—
993#489—591no—
994#489—591no—
995#488—591no—
996#488—591no—
997#485—591no—
998#484—591no—
999#483—591no—
1000#482—591no—
1001#481—591no—
1002#480—591no—
1003#479—591no—
1004#479—591no—
1005#479—591no—
1006#478—591no—
1007#478—591no—
1008#478—591no—
1009#478—591no—
1010#478—591no—
1011#475—591no—
1012#474—591no—
1013#470—591no—
1014#469—591no—
1015#469—591no—
1016#469—591no—
1017#468—591no—
1018#468—591no—
1019#468—591no—
1020#468—591no—
1021#467—591no—
1022#466—591no—
1023#465—591no—
1024#465—591no—
1025#464—591no—
1026#464—591no—
1027#464—591no—
1028#464—591no—
1029#464—591no—
1030#464C2×D5911yescharacteristic, complemented
1031#464C2×D5911yescharacteristic, complemented
1032#463—591no—
1033#463—591no—
1034#463—591no—
1035#463—591no—
1036#463—591no—
1037#463—591no—
1038#463—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#463—591no—
1047#463C2×D5911yescharacteristic, complemented
1048#463C2×D5911yescharacteristic, complemented
1049#461—591no—
1050#461—591no—
1051#460—591no—
1052#459—591no—
1053#459C2×D5911yescharacteristic, complemented
1054#459C2×D5911yescharacteristic, complemented
1055#452—591no—
1056#452—591no—
1057#452—591no—
1058#451—591no—
1059#450—591no—
1060#450—591no—
1061#450—591no—
1062#449—591no—
1063#449—591no—
1064#449—591no—
1065#448—591no—
1066#448—591no—
1067#448—591no—
1068#447—591no—
1069#447—591no—
1070#447—591no—
1071#447—591no—
1072#447—591no—
1073#446—591no—
1074#446C2×D5911yescharacteristic, complemented
1075#442—591no—
1076#442—591no—
1077#442—591no—
1078#441—591no—
1079#440—591no—
1080#440—591no—
1081#440C2×D5911yescharacteristic, complemented
1082#440C2×D5911yescharacteristic, complemented
1083C4×SD16—591no—
1084C4×SD16—591no—
1085C4×D8—591no—
1086C4×D8C2×D5911yescharacteristic, complemented
1087#436—591no—
1088#436—591no—
1089#435—591no—
1090#435—591no—
1091#435—591no—
1092#435—591no—
1093#432—591no—
1094#432—591no—
1095#431—591no—
1096#423—591no—
1097#423—591no—
1098C2×C4⋊C8—591no—
1099#419—591no—
1100#418—591no—
1101#417—591no—
1102#417—591no—
1103C2×#103—591no—
1104C2×#102—591no—
1105C59#6197111yescharacteristic, complemented, Sylow
1106C2×#41—591no—
1107C2×#41—591no—
1108C2×#41—591no—
1109C2×#41—591no—
1110C2×#41—1181no—
1111C22×Q8—591no—
1112C22×Q8—591no—
1113C22×D4—591no—
1114C22×D4—591no—
1115C22×D4—591no—
1116C22×D4—591no—
1117C22×D4—1181no—
1118C22×D4—1181no—
1119C23×C4—1181no—
1120C23×C4—1181no—
1121#137—2362no—
1122AGL(1,ℤ/8)—2362no—
1123AGL(1,ℤ/8)—2362no—
1124AGL(1,ℤ/8)—2362no—
1125C2×Q16—591no—
1126C2×Q16—591no—
1127C2×Q16C22×D5911yescharacteristic
1128C2×SD16—591no—
1129C2×SD16—591no—
1130C2×SD16—591no—
1131C2×SD16—591no—
1132C2×SD16—591no—
1133C2×SD16—591no—
1134C2×SD16—591no—
1135C2×SD16—591no—
1136C2×SD16—2362no—
1137C2×SD16C22×D5911yescharacteristic
1138C2×SD16C22×D5911yescharacteristic
1139C2×SD16C22×D5911yescharacteristic
1140C2×SD16C22×D5911yescharacteristic
1141C2×D8—591no—
1142C2×D8—591no—
1143C2×D8—591no—
1144C2×D8—591no—
1145C2×D8—591no—
1146C2×D8—2362no—
1147C2×D8C22×D5911yescharacteristic
1148C2×D8C22×D5911yescharacteristic
1149C2×D8C22×D5911yescharacteristic
1150C2×D8C22×D5911yescharacteristic
1151C2×M16—591no—
1152C2×M16—591no—
1153C2×M16—591no—
1154C2×M16—591no—
1155C22×C8—591no—
1156C22×C8—591no—
1157C4⋊Q8—591no—
1158C4⋊Q8—591no—
1159C4⋊Q8—1181no—
1160#127C22×D5911yescharacteristic
1161#127C22×D5911yescharacteristic
1162#126—1181no—
1163#126—1181no—
1164#126—1181no—
1165#126—1181no—
1166#126—1181no—
1167#126—1181no—
1168#126—1181no—
1169#126—1181no—
1170#126—1181no—
1171#125—591no—
1172#125—591no—
1173#125—591no—
1174#125—1181no—
1175#124—21no—
1176#124—21no—
1177#124—591no—
1178#124—591no—
1179#124—591no—
1180#124—591no—
1181#124—591no—
1182#124—1181no—
1183#124—1181no—
1184#124—1181no—
1185#124—1181no—
1186#124—1181no—
1187#124—1181no—
1188#124—1181no—
1189#124C22×D5911yescharacteristic
1190#124C22×D5911yescharacteristic
1191#124C22×D5911yescharacteristic
1192#124C22×D5911yescharacteristic
1193#123—21no—
1194#123—21no—
1195#123—21no—
1196#123—21no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208C22⋊Q8—591no—
1209C22⋊Q8—591no—
1210C22⋊Q8—591no—
1211C22⋊Q8—591no—
1212C22⋊Q8—591no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223#121—591no—
1224#121—591no—
1225#121—591no—
1226#121—591no—
1227#121—591no—
1228#121—591no—
1229#121—591no—
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#121—1181no—
1242#121—1181no—
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×Q8C22×D5911yescharacteristic
1256C4×Q8C22×D5911yescharacteristic
1257C4×Q8C22×D5911yescharacteristic
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—591no—
1261C4×D4—591no—
1262C4×D4—591no—
1263C4×D4—591no—
1264C4×D4—591no—
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—1181no—
1274C4×D4—1181no—
1275C4×D4—1181no—
1276C4×D4—1181no—
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×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4C22×D5911yescharacteristic
1294C4×D4C22×D5911yescharacteristic
1295C4×D4C22×D5911yescharacteristic
1296C4×D4C22×D5911yescharacteristic
1297#117—591no—
1298#117—591no—
1299#117—591no—
1300#117—591no—
1301#117—1181no—
1302#117—1181no—
1303#117—1181no—
1304#117—1181no—
1305#117—1181no—
1306#117—1181no—
1307#117—1181no—
1308C2×C4⋊C4—591no—
1309C2×C4⋊C4—591no—
1310C2×C4⋊C4—1181no—
1311C2×C22⋊C4—1181no—
1312C2×C22⋊C4—1181no—
1313C2×C22⋊C4—1181no—
1314C2×C22⋊C4—1181no—
1315C2×C22⋊C4—1181no—
1316C2×C22⋊C4—1181no—
1317C2×C22⋊C4—1181no—
1318C2×C22⋊C4—1181no—
1319C2×C22⋊C4—1181no—
1320C2×C22⋊C4—1181no—
1321C2×C42—591no—
1322C2×C42—591no—
1323C2×C42—591no—
1324C2×C42—1181no—
1325#107—591no—
1326#107—591no—
1327#107—591no—
1328#107C22×D5911yescharacteristic
1329#106—591no—
1330#106—591no—
1331#106—591no—
1332#106—591no—
1333C4⋊C8—591no—
1334C4⋊C8—591no—
1335C4⋊C8—591no—
1336C4⋊C8—591no—
1337C4⋊C8—591no—
1338C4⋊C8—591no—
1339C4⋊C8—591no—
1340C4⋊C8C22×D5911yescharacteristic
1341C4⋊C8C22×D5911yescharacteristic
1342C4⋊C8C22×D5911yescharacteristic
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103C22×D5911yescharacteristic
1356#103C22×D5911yescharacteristic
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102C22×D5911yescharacteristic
1372#102C22×D5911yescharacteristic
1373#102C22×D5911yescharacteristic
1374#102C22×D5911yescharacteristic
1375C22⋊C8—591no—
1376C22⋊C8—591no—
1377C22⋊C8—591no—
1378C22⋊C8—591no—
1379C22⋊C8—591no—
1380C22⋊C8—591no—
1381#97—591no—
1382#97—591no—
1383#97C22×D5911yescharacteristic
1384#97C22×D5911yescharacteristic
1385C4×C8—591no—
1386C4×C8C22×D5911yescharacteristic
1387C24—1181no—
1388C24—1181no—
1389C24—1181no—
1390C24—1181no—
1391#41—1182no—
1392#41—4722no—
1393#41—2361no—
1394#41—2361no—
1395#41—2361no—
1396#41—2361no—
1397#41—2362no—
1398#41—2361no—
1399C2×Q8—591no—
1400C2×Q8—591no—
1401C2×Q8—1181no—
1402C2×Q8—1181no—
1403C2×Q8—1181no—
1404C2×Q8—2361no—
1405C2×Q8—2361no—
1406C2×Q8—2361no—
1407C2×Q8—2361no—
1408C2×Q8D4×D5911yescharacteristic
1409C2×Q8C23×D5911yescharacteristic
1410C2×Q8C23×D5911yescharacteristic
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—591no—
1416C2×D4—591no—
1417C2×D4—591no—
1418C2×D4—591no—
1419C2×D4—591no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1182no—
1427C2×D4—1182no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—2361no—
1437C2×D4—2361no—
1438C2×D4—2361no—
1439C2×D4—2361no—
1440C2×D4—2361no—
1441C2×D4—2361no—
1442C2×D4—2364no—
1443C2×D4—2364no—
1444C2×D4C23×D5911yescharacteristic
1445C2×D4C23×D5911yescharacteristic
1446C2×D4C23×D5911yescharacteristic
1447C2×D4C23×D5911yescharacteristic
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—591no—
1453C22×C4—591no—
1454C22×C4—591no—
1455C22×C4—591no—
1456C22×C4—591no—
1457C22×C4—591no—
1458C22×C4—591no—
1459C22×C4—591no—
1460C22×C4—591no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—1181no—
1465C22×C4—1181no—
1466C22×C4—1181no—
1467C22×C4—1181no—
1468C22×C4—1181no—
1469C22×C4—1181no—
1470C22×C4—1181no—
1471C22×C4—1181no—
1472C22×C4—1181no—
1473C22×C4—1181no—
1474C22×C4—1181no—
1475C22×C4—4722no—
1476C22×C4—4722no—
1477Q16—41no—
1478Q16—2361no—
1479Q16—2361no—
1480SD16—41no—
1481SD16—41no—
1482SD16—41no—
1483SD16—41no—
1484SD16—1182no—
1485SD16—1182no—
1486SD16—1182no—
1487SD16—2361no—
1488SD16—2361no—
1489SD16—2361no—
1490SD16—2361no—
1491SD16—2361no—
1492D8—41no—
1493D8—41no—
1494D8—41no—
1495D8—41no—
1496D8—1182no—
1497D8—1182no—
1498D8—1182no—
1499D8—2361no—
1500D8—2361no—
1501M16—2361no—
1502M16—2361no—
1503M16—2361no—
1504M16—2361no—
1505C2×C8—591no—
1506C2×C8—591no—
1507C2×C8—591no—
1508C2×C8—591no—
1509C2×C8—2361no—
1510C2×C8—2361no—
1511C2×C8C23×D5911yescharacteristic
1512C2×C8C23×D5911yescharacteristic
1513C2×C8C23×D5911yescharacteristic
1514C2×C8C23×D5911yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—591no—
1518C4⋊C4—591no—
1519C4⋊C4—591no—
1520C4⋊C4—591no—
1521C4⋊C4—591no—
1522C4⋊C4—591no—
1523C4⋊C4—591no—
1524C4⋊C4—1181no—
1525C4⋊C4—1181no—
1526C4⋊C4—1181no—
1527C4⋊C4—1181no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4—1181no—
1538C4⋊C4—1181no—
1539C4⋊C4—1181no—
1540C4⋊C4—1181no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4D4×D5911yescharacteristic
1544C4⋊C4D4×D5911yescharacteristic
1545C4⋊C4D4×D5911yescharacteristic
1546C4⋊C4C23×D5911yescharacteristic
1547C4⋊C4C23×D5911yescharacteristic
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—591no—
1561C22⋊C4—591no—
1562C22⋊C4—591no—
1563C22⋊C4—591no—
1564C22⋊C4—591no—
1565C22⋊C4—591no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C42—21no—
1597C42—21no—
1598C42—591no—
1599C42—591no—
1600C42—591no—
1601C42—591no—
1602C42—591no—
1603C42—591no—
1604C42—591no—
1605C42—1181no—
1606C42—1181no—
1607C42—1181no—
1608C42—1181no—
1609C42C23×D5911yescharacteristic
1610C42C23×D5911yescharacteristic
1611C42C23×D5911yescharacteristic
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—591no—
1617C23—591no—
1618C23—591no—
1619C23—1181no—
1620C23—1181no—
1621C23—4721no—
1622C23—4721no—
1623C23—4721no—
1624C23—4721no—
1625C23—4721no—
1626C23—4721no—
1627C23—2362no—
1628C23—2362no—
1629C23—2362no—
1630C23—2362no—
1631C23—2362no—
1632C23—2362no—
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—41no—
1638Q8—1181no—
1639Q8—1181no—
1640Q8—1181no—
1641Q8—1181no—
1642Q8—4721no—
1643Q8—4721no—
1644Q8—4721no—
1645D4—21no—
1646D4—21no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—21no—
1653D4—42no—
1654D4—42no—
1655D4—81no—
1656D4—81no—
1657D4—592no—
1658D4—1182no—
1659D4—1182no—
1660D4—1181no—
1661D4—1181no—
1662D4—1181no—
1663D4—4721no—
1664D4—4721no—
1665D4—4721no—
1666D4—4721no—
1667D4—4721no—
1668D4—4721no—
1669D4—4721no—
1670D4—2361no—
1671D4—2362no—
1672D4—2362no—
1673D4—2362no—
1674D4—2362no—
1675D4—2362no—
1676D4—2362no—
1677D4—2362no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—81no—
1683C2×C4—81no—
1684C2×C4—81no—
1685C2×C4—81no—
1686C2×C4—591no—
1687C2×C4—591no—
1688C2×C4—591no—
1689C2×C4—591no—
1690C2×C4—591no—
1691C2×C4—1182no—
1692C2×C4—1181no—
1693C2×C4—1181no—
1694C2×C4—1181no—
1695C2×C4—1181no—
1696C2×C4—1181no—
1697C2×C4—1181no—
1698C2×C4—1181no—
1699C2×C4—1181no—
1700C2×C4—1181no—
1701C2×C4—1181no—
1702C2×C4—1181no—
1703C2×C4—1181no—
1704C2×C4—4721no—
1705C2×C4—4721no—
1706C2×C4—4721no—
1707C2×C4—4721no—
1708C2×C4—4721no—
1709C2×C4—4721no—
1710C2×C4—4721no—
1711C2×C4—4721no—
1712C2×C4—2361no—
1713C2×C4—2361no—
1714C2×C4—2361no—
1715C2×C4—2361no—
1716C2×C4—2361no—
1717C2×C4—2362no—
1718C2×C4—2362no—
1719C2×C4—2362no—
1720C2×C4—2362no—
1721C2×C4—2362no—
1722C2×C4—2362no—
1723C2×C4C2×D4×D5911yescharacteristic
1724C2×C4C2×D4×D5911yescharacteristic
1725C2×C4C2×D4×D5911yescharacteristic
1726C2×C4C2×D4×D5911yescharacteristic
1727C2×C4C2×D4×D5911yescharacteristic
1728C2×C4C2×D4×D5911yescharacteristic
1729C2×C4C24×D5911yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—1181no—
1735C8—1181no—
1736C8—1181no—
1737C8—1181no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—592no—
1751C22—1181no—
1752C22—1181no—
1753C22—1181no—
1754C22—1181no—
1755C22—1182no—
1756C22—1181no—
1757C22—1181no—
1758C22—1181no—
1759C22—1181no—
1760C22—9442no—
1761C22—9442no—
1762C22—4724no—
1763C22—4724no—
1764C22—2361no—
1765C22—2361no—
1766C22—2361no—
1767C22—2361no—
1768C22—2361no—
1769C22C22×D4×D5911yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—21no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—1181no—
1781C4—1181no—
1782C4—1181no—
1783C4—1181no—
1784C4—1181no—
1785C4—2361no—
1786C4—2361no—
1787C4—2361no—
1788C4—2361no—
1789C4—2361no—
1790C4—2361no—
1791C4H(5,𝔽2)×D5911yescharacteristic
1792C4#1683823811yescharacteristic
1793C2—81no—
1794C2—81no—
1795C2—81no—
1796C2—81no—
1797C2—1182no—
1798C2—4721no—
1799C2—2361no—
1800C2—2361no—
1801C2—2362no—
1802C2#2143776411yescharacteristic
1803C2#575×D5911yescharacteristic
1804C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3403C2
socleC22×C59C23×D4
hypercenter#3403D59
hypocenterC59#61971
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3403

Complements

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

NH ≅ G/Ntype
1. #21438056C2semidirect
2. #21437705C2semidirect
3. #21437156C2semidirect
4. #21436925C2semidirect
5. #21436843C2semidirect
6. #21436356C2semidirect
7. #21436302C2semidirect
8. #21436272C2semidirect
9. #21436244C2semidirect
10. #21436214C2semidirect
11. #21436182C2semidirect
12. #21435726C2semidirect
13. #21435702C2semidirect
14. #21435601C2semidirect
15. #21435590C2semidirect
16. #21435575C2semidirect
17. #21435571C2semidirect
18. #21435495C2semidirect
19. #21435454C2semidirect
20. #21435445C2semidirect
21. #21435128C2semidirect
22. #21435078C2semidirect
23. #21435056C2semidirect
24. #21434238C2semidirect
25. #21434203C2semidirect
26. #21434141C2semidirect
27. #21433587C2semidirect
28. #21433555C2semidirect
29. #463×D59C2semidirect
30. #21433212C2semidirect
31. C59×#3403C2semidirect
32. C2×#14273759C22semidirect
34. C2×#14273751C22semidirect
35. C2×#14273751C22semidirect
36. C2×SD16×D59C22semidirect
38. #16838125C22semidirect
40. #16838112C22semidirect
41. #16838112C22semidirect
44. #16838102C22semidirect
49. Q8×D236C22semidirect
51. #16838060C22semidirect
53. #16838047C22semidirect
57. #16838045C22semidirect
58. #16838037C22semidirect
59. #16838037C22semidirect
63. #16837950C22semidirect
64. #16837950C22semidirect
65. #16837939C22semidirect
66. #16837934C22semidirect
67. #16837934C22semidirect
69. #16837931C22semidirect
70. #16837931C22semidirect
71. #124×D59C22semidirect
72. #124×D59C22semidirect
77. C4×#11745689C22semidirect
79. C4×D4×D59C22semidirect
80. C4×D4×D59C22semidirect
81. #16837797C22semidirect
83. #16837784C22semidirect
84. #16837771C22semidirect
85. #16837766C22semidirect
86. #16837762C22semidirect
87. #16837761C22semidirect
88. #16837757C22semidirect
89. #16837756C22semidirect
90. #16837745C22semidirect
91. #16837739C22semidirect
92. #16837731C22semidirect
93. #16837724C22semidirect
94. #16837719C22semidirect
95. #16837717C22semidirect
96. #16837711C22semidirect
97. #16837710C22semidirect
98. #16837709C22semidirect
99. #16837705C22semidirect
100. #16837704C22semidirect
101. #16837704C22semidirect
102. #16837703C22semidirect
103. #16837702C22semidirect
104. #16837688C22semidirect
105. #16837682C22semidirect
106. #16837657C22semidirect
108. #16837652C22semidirect
109. #16837652C22semidirect
110. #16837651C22semidirect
111. #16837647C22semidirect
112. #16837647C22semidirect
113. #16837645C22semidirect
114. #16837642C22semidirect
116. #16837630C22semidirect
117. #16837628C22semidirect
118. #16837626C22semidirect
119. #16837624C22semidirect
120. #16837622C22semidirect
121. #16837622C22semidirect
122. #16837621C22semidirect
124. #16837619C22semidirect
125. #16837619C22semidirect
128. #16837617C22semidirect
129. #16837616C22semidirect
130. #16837616C22semidirect
131. #16837615C22semidirect
132. #16837615C22semidirect
133. #16837615C22semidirect
134. #16837615C22semidirect
135. #16837614C22semidirect
136. #16837614C22semidirect
137. #16837614C22semidirect
138. #16837608C22semidirect
139. #16837607C22semidirect
140. #16837599C22semidirect
142. #16837567C22semidirect
143. #16837561C22semidirect
144. #16837561C22semidirect
145. #16837556C22semidirect
146. #16837554C22semidirect
147. #16837551C22semidirect
148. #16837551C22semidirect
150. #16837544C22semidirect
151. #16837544C22semidirect
152. #16837539C22semidirect
153. #16837539C22semidirect
154. #16837539C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. #16837533C22semidirect
162. #16837512C22semidirect
163. #16837512C22semidirect
164. #16837507C22semidirect
165. #16837504C22semidirect
166. #16837500C22semidirect
167. C4×#11745660C22semidirect
168. C4×#11745670C22semidirect
169. C4×#11745669C22semidirect
170. #16837481C22semidirect
171. #16837479C22semidirect
172. #16837475C22semidirect
173. #16837475C22semidirect
174. #16837472C22semidirect
175. #16837472C22semidirect
176. #16837457C22semidirect
177. #16837457C22semidirect
178. #16837453C22semidirect
179. #16837424C22semidirect
180. #16837424C22semidirect
181. C4⋊C8×D59C22semidirect
182. #16837409C22semidirect
183. #16837405C22semidirect
184. #16837400C22semidirect
185. #16837400C22semidirect
186. #103×D59C22semidirect
187. #102×D59C22semidirect
188. C59×#559C22semidirect
189. C59×#559C22semidirect
190. C59×#496C22semidirect
191. C59×#496C22semidirect
192. C59×#495C22semidirect
193. C59×#464C22semidirect
194. C59×#464C22semidirect
195. C59×#463C22semidirect
196. C59×#463C22semidirect
197. C59×#459C22semidirect
198. C59×#459C22semidirect
199. C59×#446C22semidirect
200. C59×#440C22semidirect
201. C59×#440C22semidirect
202. C4×D8×C59C22semidirect
893. #3403D59semidirect
940. #559C2×D59semidirect
941. #559C2×D59semidirect
987. #496C2×D59semidirect
988. #496C2×D59semidirect
990. #495C2×D59semidirect
1030. #464C2×D59semidirect
1031. #464C2×D59semidirect
1047. #463C2×D59semidirect
1048. #463C2×D59semidirect
1053. #459C2×D59semidirect
1054. #459C2×D59semidirect
1074. #446C2×D59semidirect
1081. #440C2×D59semidirect
1082. #440C2×D59semidirect
1086. C4×D8C2×D59semidirect
1105. C59#61971semidirect

Maximal subgroups

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

subgroupindex
#214380562
#214377052
#214371562
#214369252
#214368432
#214363562
#214363022
#214362722
#214362442
#214362142
#214361822
#214357262
#214357022
#214356012
#214355902
#214355752
#214355712
#214354952
#214354542
#214354452
#214351282
#214350782
#214350562
#214342382
#214342032
#214341412
#214335872
#214335552
#463×D592
#214332122
C59×#34032
#6197159