Finite Group Databasebeta

← #29474606

Subgroups — #29474606

Order 15104.

2156 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438324C211yesmaximal, characteristic, complemented
2#21437764C211yesmaximal, characteristic, complemented
3#21436430C211yesmaximal, characteristic, complemented
4#21436180C211yesmaximal, characteristic, complemented
5#21436171C211yesmaximal, characteristic, complemented
6#21436088C211yesmaximal, characteristic, complemented
7#21436084C211yesmaximal, characteristic, complemented
8#21435908C211yesmaximal, characteristic, complemented
9#21435907C211yesmaximal, characteristic, complemented
10#21435838C211yesmaximal, characteristic, complemented
11#21435835C211yesmaximal, characteristic, complemented
12#21435708C211yesmaximal, characteristic, complemented
13#21435704C211yesmaximal, characteristic, complemented
14#21435639C211yesmaximal, characteristic, complemented
15#21435637C211yesmaximal, characteristic, complemented
16#21435598C211yesmaximal, characteristic, complemented
17#21435586C211yesmaximal, characteristic, complemented
18#21435195C211yesmaximal, characteristic, complemented
19#21435193C211yesmaximal, characteristic, complemented
20#21434996C211yesmaximal, characteristic, complemented
21#21434994C211yesmaximal, characteristic, complemented
22#21434897C211yesmaximal, characteristic, complemented
23#21434846C211yesmaximal, characteristic, complemented
24#21434365C211yesmaximal, characteristic, complemented
25#21434364C211yesmaximal, characteristic, complemented
26#21433404C211yesmaximal, characteristic, complemented
27#21433402C211yesmaximal, characteristic, complemented
28#21433349C211yesmaximal, characteristic, complemented
29#452×D59C211yesmaximal, characteristic, complemented
30#21433140C211yesmaximal, characteristic, complemented
31C59×#3333C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic, complemented
33C2×#41×D59C2211yescharacteristic
34C2×#14273755C2211yescharacteristic, complemented
35C2×#14273755C2211yescharacteristic, complemented
36C2×#14273754C2211yescharacteristic, complemented
37C2×#14273752C2211yescharacteristic, complemented
38C2×#14273750C2211yescharacteristic, complemented
39C2×#14273747C2211yescharacteristic, complemented
40C2×Q16×D59C2211yescharacteristic, complemented
41C2×SD16×D59C2211yescharacteristic, complemented
42#16838150—21no—
43#16838148—21no—
44#16838107C2211yescharacteristic, complemented
45#16838071C2211yescharacteristic
46#16838064C2211yescharacteristic, complemented
47#16838064C2211yescharacteristic, complemented
48#16838062C2211yescharacteristic, complemented
49#16838059C2211yescharacteristic, complemented
50#16838055C2211yescharacteristic, complemented
51#16838053C2211yescharacteristic, complemented
52#16838049—21no—
53#16838049C2211yescharacteristic
54#16838048—21no—
55#16838048—21no—
56#16838048C2211yescharacteristic
57#16838048C2211yescharacteristic, complemented
58#16838043—21no—
59#16838043C2211yescharacteristic, complemented
60#16838037—21no—
61#16838037C2211yescharacteristic, complemented
62#16838036—21no—
63#16838036C2211yescharacteristic, complemented
64#16838027—21no—
65#16838026C2211yescharacteristic, complemented
66#16838024C2211yescharacteristic, complemented
67#16838000—21no—
68#16837985—21no—
69#16837983C2211yescharacteristic, complemented
70#16837982—21no—
71#16837982C2211yescharacteristic, complemented
72#16837981—21no—
73#16837981C2211yescharacteristic, complemented
74#16837965—21no—
75#16837965C2211yescharacteristic, complemented
76#16837911—21no—
77#16837911C2211yescharacteristic
78C22⋊Q8×D59C2211yescharacteristic, complemented
79C2×#14273702C2211yescharacteristic, complemented
80#121×D59—21no—
81#121×D59C2211yescharacteristic
82#16837884C2211yescharacteristic, complemented
83#16837789C2211yescharacteristic, complemented
84#16837788C2211yescharacteristic, complemented
85#16837786C2211yescharacteristic, complemented
86#16837783C2211yescharacteristic, complemented
87#16837764C2211yescharacteristic, complemented
88#16837760C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic, complemented
90#16837739C2211yescharacteristic, complemented
91#16837739C2211yescharacteristic, complemented
92#16837737C2211yescharacteristic, complemented
93#16837736C2211yescharacteristic, complemented
94#16837717C2211yescharacteristic, complemented
95#16837717C2211yescharacteristic, complemented
96#16837717C2211yescharacteristic, complemented
97#16837715C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837695C2211yescharacteristic, complemented
101#16837681C2211yescharacteristic, complemented
102#16837679C2211yescharacteristic, complemented
103#16837650C2211yescharacteristic, complemented
104#16837649C2211yescharacteristic, complemented
105#16837648C2211yescharacteristic, complemented
106#16837648C2211yescharacteristic, complemented
107#16837647C2211yescharacteristic, complemented
108#16837646C2211yescharacteristic, complemented
109#16837644C2211yescharacteristic, complemented
110#16837641C2211yescharacteristic, complemented
111#16837639C2211yescharacteristic, complemented
112#16837639C2211yescharacteristic, complemented
113#16837637C2211yescharacteristic, complemented
114#16837637C2211yescharacteristic, complemented
115#16837637C2211yescharacteristic, complemented
116#16837636C2211yescharacteristic, complemented
117#16837626C2211yescharacteristic, complemented
118#16837624C2211yescharacteristic, complemented
119#16837624C2211yescharacteristic, complemented
120#16837623C2211yescharacteristic, complemented
121#16837620C2211yescharacteristic, complemented
122#16837618C2211yescharacteristic, complemented
123#16837618C2211yescharacteristic, complemented
124#16837616C2211yescharacteristic, complemented
125#16837601C2211yescharacteristic, complemented
126#16837596C2211yescharacteristic, complemented
127#16837594C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837567C2211yescharacteristic, complemented
131#16837566C2211yescharacteristic, complemented
132#16837566C2211yescharacteristic, complemented
133#16837565C2211yescharacteristic, complemented
134#16837564C2211yescharacteristic, complemented
135#16837563C2211yescharacteristic, complemented
136#16837562C2211yescharacteristic, complemented
137#16837561C2211yescharacteristic, complemented
138#16837554C2211yescharacteristic, complemented
139#16837554C2211yescharacteristic, complemented
140#16837552C2211yescharacteristic, complemented
141#16837551C2211yescharacteristic, complemented
142#16837550C2211yescharacteristic
143#16837550C2211yescharacteristic
144#16837550C2211yescharacteristic, complemented
145#16837548C2211yescharacteristic, complemented
146#16837548C2211yescharacteristic, complemented
147#16837547C2211yescharacteristic, complemented
148#16837546C2211yescharacteristic, complemented
149#16837545C2211yescharacteristic, complemented
150#16837542C2211yescharacteristic, complemented
151#16837542C2211yescharacteristic, complemented
152#16837542C2211yescharacteristic, complemented
153#16837539C2211yescharacteristic, complemented
154#16837538C2211yescharacteristic, complemented
155#16837538C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic, complemented
158#16837537C2211yescharacteristic, complemented
159#16837537C2211yescharacteristic, complemented
160#16837537C2211yescharacteristic, complemented
161#16837535C2211yescharacteristic, complemented
162#16837505C2211yescharacteristic, complemented
163#16837501C2211yescharacteristic, complemented
164#16837500C2211yescharacteristic, complemented
165#16837500C2211yescharacteristic, complemented
166#16837494C2211yescharacteristic, complemented
167C4×D472C2211yescharacteristic, complemented
168#16837484C2211yescharacteristic, complemented
169#16837478C2211yescharacteristic, complemented
170#16837476C2211yescharacteristic, complemented
171#16837474C2211yescharacteristic, complemented
172#16837472C2211yescharacteristic, complemented
173#16837471C2211yescharacteristic, complemented
174C8×D236C2211yescharacteristic, complemented
175(C22⋊D59)⋊C8C2211yescharacteristic, complemented
176#16837462C2211yescharacteristic, complemented
177#16837461C2211yescharacteristic, complemented
178#16837402C2211yescharacteristic, complemented
179#16837401C2211yescharacteristic, complemented
180#103×D59C2211yescharacteristic, complemented
181C2×#14273647C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837370C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837365C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C59×#554C2211yescharacteristic, complemented
189C59×#550C2211yescharacteristic
190C59×#486C2211yescharacteristic, complemented
191C59×#480C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#477C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C4×Q16×C59C2211yescharacteristic, complemented
200C59×#436C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C59×#417C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205C2×#11745689—21no—
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745689C2311yescharacteristic
209C2×#11745685—21no—
210C2×#11745685—21no—
211C2×#11745685—21no—
212C2×#11745685C2311yescharacteristic
213C2×#11745685C2311yescharacteristic
214C2×#11745685C2311yescharacteristic
215C2×#11745687—21no—
216C2×#11745687C2311yescharacteristic
217#41×D59—42no—
218#41×D59—42no—
219C2×Q8×D59C2311yescharacteristic
220C2×Q8×D59C2311yescharacteristic
221C22×D236—21no—
222C22×D236—21no—
223C22×D236C2311yescharacteristic
224C22×D236C2311yescharacteristic
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59—21no—
230C2×D4×D59—21no—
231C2×D4×D59C2311yescharacteristic
232C2×D4×D59C2311yescharacteristic
233C2×D4×D59C2311yescharacteristic
234C22×C4×D59—21no—
235C22×C4×D59C2311yescharacteristic
236#14273755—42no—
237#14273755—42no—
238#14273754—42no—
239#14273752—42no—
240#14273750—42no—
241#14273747—42no—
242C2×Dic236C2311yescharacteristic
243C2×#11745672C2311yescharacteristic
244C2×#11745672C2311yescharacteristic
245Q16×D59—42no—
246C2×#11745660C2311yescharacteristic
247C2×#11745660C2311yescharacteristic
248C2×#11745660C2311yescharacteristic
249C2×#11745660C2311yescharacteristic
250C2×#11745670C2311yescharacteristic
251C2×#11745670C2311yescharacteristic
252C2×#11745671C2311yescharacteristic
253C2×#11745671C2311yescharacteristic
254C2×#11745671C2311yescharacteristic
255C2×#11745671C2311yescharacteristic
256SD16×D59—42no—
257C2×D472C2311yescharacteristic
258C2×D472C2311yescharacteristic
259C2×D472C2311yescharacteristic
260C2×D472C2311yescharacteristic
261C2×#11745669C2311yescharacteristic
262C2×#11745669C2311yescharacteristic
263C2×#11745669C2311yescharacteristic
264C2×#11745669C2311yescharacteristic
265C2×#11745664C2311yescharacteristic
266C2×#11745659C2311yescharacteristic
267C22×C59⋊C8C2311yescharacteristic
268C2×C8×D59C2311yescharacteristic
269C2×C8×D59C2311yescharacteristic
270C2×C8×D59C2311yescharacteristic
271#14273726C2311yescharacteristic
272#14273723—21no—
273#14273723C2311yescharacteristic
274#14273722—21no—
275#14273721—21no—
276#14273717—21no—
277#14273716—21no—
278#14273716C2311yescharacteristic
279#14273715—21no—
280#14273715—21no—
281#14273715—21no—
282#14273715C2311yescharacteristic
283#14273715C2311yescharacteristic
284#14273714—21no—
285#14273714C2311yescharacteristic
286#14273713—21no—
287#14273712—21no—
288#14273712—21no—
289#14273712—21no—
290#14273712—21no—
291#14273712—21no—
292#14273712—21no—
293#14273712—21no—
294#14273712—21no—
295#14273712D411yescharacteristic
296#14273710—21no—
297#14273709—21no—
298#14273709D411yescharacteristic
299#14273707—21no—
300#14273707—21no—
301#14273707—21no—
302#14273707C2311yescharacteristic
303#14273707C2311yescharacteristic
304#14273707C2311yescharacteristic
305#14273706—21no—
306#14273706—21no—
307#14273706C2311yescharacteristic
308#14273706C2311yescharacteristic
309#14273705—21no—
310#14273705—21no—
311#14273705—21no—
312#14273705—21no—
313#14273705—21no—
314#14273705—21no—
315#14273705D411yescharacteristic
316#14273704—21no—
317#14273704—21no—
318#14273704D411yescharacteristic
319#14273703—21no—
320#14273703—21no—
321#14273703C2311yescharacteristic
322#14273702—21no—
323#14273702—21no—
324#14273702—21no—
325#14273702—21no—
326#14273702—21no—
327#14273702—21no—
328#14273702—21no—
329#14273702C2311yescharacteristic
330#14273702C2311yescharacteristic
331#14273702C2311yescharacteristic
332#14273702C2311yescharacteristic
333#14273702C2311yescharacteristic
334#14273702C2311yescharacteristic
335#14273701—21no—
336#14273701—21no—
337#14273701—21no—
338#14273701C2311yescharacteristic
339#14273701C2311yescharacteristic
340#14273700—21no—
341#14273700—21no—
342#14273700—21no—
343#14273700—21no—
344#14273700—21no—
345#14273700—21no—
346#14273700—21no—
347#14273700—21no—
348#14273700D411yescharacteristic
349#14273699—21no—
350#14273699—21no—
351#14273699—21no—
352#14273699—21no—
353#14273699D411yescharacteristic
354#14273698—21no—
355#14273698—21no—
356#14273698—21no—
357#14273698—21no—
358#14273698—21no—
359#14273698C2311yescharacteristic
360#14273698C2311yescharacteristic
361#14273697—21no—
362#14273697—21no—
363#14273697D411yescharacteristic
364#14273695—21no—
365#14273695—21no—
366#14273695—21no—
367#14273695—21no—
368#14273695—21no—
369#14273695—21no—
370#14273695—21no—
371#14273695—21no—
372#14273695D411yescharacteristic
373Q8×Dic59C2311yescharacteristic
374#14273692C2311yescharacteristic
375C4×D236—21no—
376C4×D236—21no—
377C4×D236—21no—
378C4×D236C2311yescharacteristic
379C4×D236C2311yescharacteristic
380C4×D236C2311yescharacteristic
381#14273689—21no—
382#14273689—21no—
383#14273689C2311yescharacteristic
384#14273689C2311yescharacteristic
385C4×C22⋊D59—21no—
386C4×C22⋊D59—21no—
387C4×C22⋊D59—21no—
388C4×C22⋊D59C2311yescharacteristic
389C4×C22⋊D59C2311yescharacteristic
390#14273684—21no—
391#14273684C2311yescharacteristic
392C4⋊C4×D59—21no—
393C4⋊C4×D59—21no—
394C4⋊C4×D59C2311yescharacteristic
395C4⋊C4×D59C2311yescharacteristic
396C4⋊C4×D59C2311yescharacteristic
397C2×(C2×D59)⋊C4—21no—
398C22⋊C4×D59—21no—
399C22⋊C4×D59—21no—
400C22⋊C4×D59—21no—
401C22⋊C4×D59—21no—
402C22⋊C4×D59—21no—
403C22⋊C4×D59—21no—
404#14273661C2311yescharacteristic
405#14273660C2311yescharacteristic
406#14273660C2311yescharacteristic
407#14273660C2311yescharacteristic
408#14273660C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411Dic59⋊C8C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443(C2×D59)⋊C8C2311yescharacteristic
444#14273638C2311yescharacteristic
445#14273637C2311yescharacteristic
446C8×Dic59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C2×#41×C59C2311yescharacteristic
449C2×Q16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C2×M16×C59C2311yescharacteristic
454C4⋊Q8×C59C2311yescharacteristic
455#127×C59—21no—
456#127×C59C2311yescharacteristic
457#125×C59—21no—
458C22⋊Q8×C59—21no—
459C22⋊Q8×C59—21no—
460C22⋊Q8×C59C2311yescharacteristic
461C22⋊Q8×C59C2311yescharacteristic
462#121×C59—21no—
463#121×C59—21no—
464#121×C59C2311yescharacteristic
465#121×C59C2311yescharacteristic
466C4×Q8×C59C2311yescharacteristic
467C4×Q8×C59C2311yescharacteristic
468C4×D4×C59—21no—
469C4×D4×C59—21no—
470C4×D4×C59C2311yescharacteristic
471C2×C4⋊C4×C59C2311yescharacteristic
472C2×C4⋊C4×C59C2311yescharacteristic
473#107×C59C2311yescharacteristic
474#107×C59C2311yescharacteristic
475#107×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C4×C8×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59C2×D411yescharacteristic
496#41×C59—22no—
497#41×C59—22no—
498#41×C59—41no—
499#41×C59—41no—
500C2×Q8×C59—21no—
501C2×Q8×C59C2411yescharacteristic
502C2×Q8×C59C2411yescharacteristic
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59C2×D411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59C2411yescharacteristic
517C22×C4×C59C2411yescharacteristic
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59C2×D411yescharacteristic
531C2×C22⋊D59C2×D411yescharacteristic
532C2×C22⋊D59C2×D411yescharacteristic
533C2×C22⋊D59C2×D411yescharacteristic
534C22×Dic59—21no—
535C22×Dic59C2×D411yescharacteristic
536#11745689—22no—
537#11745689—22no—
538#11745689—22no—
539#11745689—41no—
540#11745689—41no—
541#11745689—41no—
542#11745689—82no—
543Q8×D59—22no—
544Q8×D59—41no—
545Q8×D59—41no—
546Q8×D59—41no—
547#11745687—41no—
548#11745687—41no—
549#11745687—44no—
550D4×D59—22no—
551D4×D59—22no—
552D4×D59—41no—
553D4×D59—41no—
554D4×D59—41no—
555D4×D59—41no—
556D4×D59—44no—
557D4×D59—44no—
558D4×D59—44no—
559D4×D59—82no—
560D4×D59—82no—
561D4×D59—82no—
562#11745685—22no—
563#11745685—41no—
564#11745685—41no—
565#11745685—41no—
566#11745685—41no—
567#11745685—41no—
568#11745685—44no—
569#11745685—44no—
570#11745685—82no—
571C2×D236—21no—
572C2×D236—22no—
573C2×D236—21no—
574C2×D236—21no—
575C2×D236—21no—
576C2×D236—21no—
577C2×D236—21no—
578C2×D236—21no—
579C2×D236—21no—
580C2×D236—21no—
581C2×D236—21no—
582C2×D236—21no—
583C2×D236—41no—
584C2×D236—41no—
585C2×D236—41no—
586C2×D236—44no—
587C2×D236—82no—
588C2×D236C2×D411yescharacteristic
589C2×D236C2×D411yescharacteristic
590C2×D236C2411yescharacteristic
591C2×D236C2411yescharacteristic
592C2×D236C2411yescharacteristic
593C2×D236C2411yescharacteristic
594C2×C4×D59—21no—
595C2×C4×D59—21no—
596C2×C4×D59—21no—
597C2×C4×D59—21no—
598C2×C4×D59—21no—
599C2×C4×D59—21no—
600C2×C4×D59—21no—
601C2×C4×D59—21no—
602C2×C4×D59—21no—
603C2×C4×D59—21no—
604C2×C4×D59—21no—
605C2×C4×D59—21no—
606C2×C4×D59—21no—
607C2×C4×D59—21no—
608C2×C4×D59—41no—
609C2×C4×D59—41no—
610C2×C4×D59—44no—
611C2×C4×D59C2×D411yescharacteristic
612C2×C4×D59C2×D411yescharacteristic
613C2×C4×D59C2411yescharacteristic
614C2×C4×D59C2411yescharacteristic
615C2×C4×D59C2411yescharacteristic
616C2×Dic118—21no—
617C2×Dic118—21no—
618C2×Dic118—21no—
619C2×Dic118C2×D411yescharacteristic
620C2×Dic118C2411yescharacteristic
621C2×Dic118C2411yescharacteristic
622Q16×C59—22no—
623SD16×C59—41no—
624SD16×C59—41no—
625M16×C59—41no—
626M16×C59—41no—
627C2×C8×C59C2411yescharacteristic
628C2×C8×C59C2411yescharacteristic
629C2×C8×C59C2411yescharacteristic
630C2×C8×C59C2411yescharacteristic
631C4⋊C4×C59—21no—
632C4⋊C4×C59—21no—
633C4⋊C4×C59—21no—
634C4⋊C4×C59—21no—
635C4⋊C4×C59—21no—
636C4⋊C4×C59—21no—
637C4⋊C4×C59—21no—
638C4⋊C4×C59C2×D411yescharacteristic
639C4⋊C4×C59C2411yescharacteristic
640C4⋊C4×C59C2411yescharacteristic
641C4⋊C4×C59C2411yescharacteristic
642C4⋊C4×C59C2411yescharacteristic
643C22⋊C4×C59—21no—
644C22⋊C4×C59—21no—
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C22⋊C4×C59C2×D411yescharacteristic
648C22⋊C4×C59C2×D411yescharacteristic
649C42×C59—21no—
650C42×C59—21no—
651C42×C59C2411yescharacteristic
652C22⋊Dic59—21no—
653C22⋊Dic59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59—21no—
657C22⋊Dic59—21no—
658C22⋊Dic59C2×D411yescharacteristic
659C22⋊Dic59C2×D411yescharacteristic
660#11745672—22no—
661#11745672—41no—
662#11745671—22no—
663#11745671—22no—
664#11745671—22no—
665#11745671—41no—
666#11745670—41no—
667#11745670—41no—
668#11745669—41no—
669#11745669—41no—
670#11745669—41no—
671#11745669—41no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4—21no—
693(C2×D59)⋊C4—21no—
694(C2×D59)⋊C4C2×D411yescharacteristic
695(C2×D59)⋊C4C2×D411yescharacteristic
696(C2×D59)⋊C4C2×D411yescharacteristic
697(C2×D59)⋊C4C2×D411yescharacteristic
698(C2×D59)⋊C4C2×D411yescharacteristic
699(C2×D59)⋊C4C2×D411yescharacteristic
700C4⋊Dic59—21no—
701C4⋊Dic59—21no—
702C4⋊Dic59—21no—
703C4⋊Dic59—21no—
704C4⋊Dic59C2×D411yescharacteristic
705C4⋊Dic59C2411yescharacteristic
706C4⋊Dic59C2411yescharacteristic
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4C2×D411yescharacteristic
716Dic59⋊C4C2×D411yescharacteristic
717Dic59⋊C4C2×D411yescharacteristic
718Dic59⋊C4C2×D411yescharacteristic
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59C2411yescharacteristic
722#11745664—41no—
723C2×C59⋊C8—41no—
724C2×C59⋊C8C2411yescharacteristic
725C2×C59⋊C8C2411yescharacteristic
726C2×C59⋊C8C2411yescharacteristic
727C2×C59⋊C8C2411yescharacteristic
728Dic236—41no—
729D472—22no—
730D472—22no—
731D472—41no—
732D472—41no—
733#11745660—22no—
734#11745660—41no—
735#11745660—41no—
736#11745660—41no—
737#11745659—41no—
738C8×D59—41no—
739C8×D59—41no—
740C8×D59—41no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59C22×D411yescharacteristic
744C23×C59C22×D411yescharacteristic
745C22×D59—21no—
746C22×D59—22no—
747C22×D59—21no—
748C22×D59—21no—
749C22×D59—21no—
750C22×D59—41no—
751C22×D59—41no—
752C22×D59—42no—
753C22×D59—42no—
754C22×D59—42no—
755C22×D59—42no—
756C22×D59—42no—
757C22×D59—42no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59—81no—
761C22×D59—81no—
762C22×D59—81no—
763C22×D59—81no—
764C22×D59—81no—
765C22×D59—81no—
766C22×D59—81no—
767C22×D59C22×D411yescharacteristic
768C22×D59C22×D411yescharacteristic
769C22×D59C22×D411yescharacteristic
770Q8×C59—21no—
771Q8×C59—21no—
772Q8×C59—21no—
773Q8×C59—81no—
774Q8×C59H(5,𝔽2)12yes—
775D4×C59—21no—
776D4×C59—21no—
777D4×C59—21no—
778D4×C59—21no—
779D4×C59—41no—
780D4×C59—42no—
781D4×C59—42no—
782D4×C59—81no—
783D4×C59—81no—
784D4×C59—81no—
785D4×C59—81no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—21no—
795C2×C4×C59—21no—
796C2×C4×C59—42no—
797C2×C4×C59—42no—
798C2×C4×C59—81no—
799C2×C4×C59—81no—
800C2×C4×C59C22×D411yescharacteristic
801C2×C4×C59C22×D411yescharacteristic
802C2×C4×C59C22×D411yescharacteristic
803C2×C4×C59C22×D411yescharacteristic
804C2×C4×C59C2511yescharacteristic
805C22⋊D59—22no—
806C22⋊D59—41no—
807C22⋊D59—41no—
808C22⋊D59—41no—
809C22⋊D59—42no—
810C22⋊D59—42no—
811C22⋊D59—42no—
812C22⋊D59—42no—
813C22⋊D59—42no—
814C22⋊D59—42no—
815C22⋊D59—81no—
816C22⋊D59—81no—
817C22⋊D59—81no—
818C22⋊D59—81no—
819C22⋊D59—81no—
820C22⋊D59—81no—
821C2×Dic59—21no—
822C2×Dic59—21no—
823C2×Dic59—21no—
824C2×Dic59—21no—
825C2×Dic59—41no—
826C2×Dic59—42no—
827C2×Dic59C22×D411yescharacteristic
828C2×Dic59C22×D411yescharacteristic
829C2×Dic59C22×D411yescharacteristic
830C2×Dic59C22×D411yescharacteristic
831C2×Dic59C22×D411yescharacteristic
832D236—24no—
833D236—22no—
834D236—21no—
835D236—21no—
836D236—21no—
837D236—21no—
838D236—21no—
839D236—21no—
840D236—21no—
841D236—41no—
842D236—42no—
843D236—42no—
844D236—42no—
845D236—42no—
846D236—42no—
847D236—81no—
848D236—81no—
849D236—81no—
850D236—81no—
851D236—81no—
852D236H(5,𝔽2)12yes—
853C4×D59—24no—
854C4×D59—21no—
855C4×D59—21no—
856C4×D59—21no—
857C4×D59—21no—
858C4×D59—21no—
859C4×D59—21no—
860C4×D59—41no—
861C4×D59—41no—
862C4×D59—42no—
863C4×D59—42no—
864C4×D59—42no—
865C4×D59—42no—
866C4×D59—81no—
867C4×D59—81no—
868C4×D59—81no—
869C4×D59—81no—
870C4×D59—81no—
871C4×D59—81no—
872C4×D59—81no—
873C4×D59—81no—
874C4×D59—81no—
875Dic118—21no—
876Dic118—21no—
877Dic118—21no—
878Dic118—21no—
879Dic118—41no—
880Dic118—42no—
881Dic118—81no—
882Dic118—81no—
883C8×C59—21no—
884C8×C59—21no—
885C8×C59—21no—
886C8×C59—21no—
887C59⋊C8—21no—
888C59⋊C8—21no—
889C59⋊C8—21no—
890C59⋊C8—21no—
891#61624—591nomaximal, Sylow
892C22×C59—21no—
893C22×C59—21no—
894C22×C59—21no—
895C22×C59—21no—
896C22×C59—21no—
897C22×C59—21no—
898C22×C59—41no—
899C22×C59—41no—
900C22×C59—41no—
901C22×C59—41no—
902C22×C59—41no—
903C22×C59—41no—
904C22×C59C23×D411yescharacteristic
905C2×D59—21no—
906C2×D59—21no—
907C2×D59—21no—
908C2×D59—21no—
909C2×D59—21no—
910C2×D59—22no—
911C2×D59—21no—
912C2×D59—21no—
913C2×D59—21no—
914C2×D59—41no—
915C2×D59—41no—
916C2×D59—41no—
917C2×D59—41no—
918C2×D59—41no—
919C2×D59—41no—
920C2×D59—41no—
921C2×D59—41no—
922C2×D59—41no—
923C2×D59—41no—
924C2×D59—41no—
925C2×D59—82no—
926C2×D59—84no—
927C2×D59—162no—
928C2×D59—162no—
929C2×D59—162no—
930C2×D59—162no—
931C2×D59#57612yes—
932C4×C59—21no—
933C4×C59—22no—
934C4×C59—21no—
935C4×C59—21no—
936C4×C59—21no—
937C4×C59—41no—
938C4×C59—41no—
939C4×C59—41no—
940C4×C59—41no—
941C4×C59—41no—
942C4×C59C2×H(5,𝔽2)11yescharacteristic
943C4×C59C2×H(5,𝔽2)11yescharacteristic
944Dic59—21no—
945Dic59—21no—
946Dic59—21no—
947Dic59—21no—
948Dic59—21no—
949Dic59—41no—
950Dic59—41no—
951Dic59—41no—
952Dic59—41no—
953#3536—591no—
954#3488—591no—
955#3333—591no—
956#3333D5911yescharacteristic, complemented
957#3314—591no—
958#3314—591no—
959#3308—591no—
960#3308—591no—
961#3294—591no—
962#3294—591no—
963#3285—591no—
964#3285—591no—
965#3273—591no—
966#3273—591no—
967#3268—591no—
968#3268—591no—
969#3265—591no—
970#3265—591no—
971#3224—591no—
972#3224—591no—
973#3203—591no—
974#3203—591no—
975#3193—591no—
976#3186—591no—
977#3124—591no—
978#3124—591no—
979#3012—591no—
980#3012—591no—
981#3006—591no—
982C2×#452—591no—
983#2976—591no—
984C2×C59—41no—
985C2×C59—41no—
986C2×C59—81no—
987C2×C59—81no—
988C2×C59#348411yescharacteristic
989C2×C59C2×#57611yescharacteristic
990C2×C59#358611yescharacteristic
991D59—22no—
992D59—41no—
993D59—41no—
994D59—42no—
995D59—81no—
996D59—81no—
997D59—81no—
998C2×H(5,𝔽2)—591no—
999C22×#41—591no—
1000C2×AGL(1,ℤ/8)—591no—
1001C2×AGL(1,ℤ/8)—591no—
1002C2×AGL(1,ℤ/8)—591no—
1003C2×AGL(1,ℤ/8)—591no—
1004C2×#135—591no—
1005C2×#135—591no—
1006C22×Q16—591no—
1007C22×SD16—591no—
1008#562—1181no—
1009#562—1181no—
1010#554—591no—
1011#554C2×D5911yescharacteristic, complemented
1012#550—591no—
1013#550C2×D5911yescharacteristic
1014#548—591no—
1015#548—591no—
1016#548—591no—
1017#548—591no—
1018#547—591no—
1019#547—591no—
1020#546—591no—
1021#546—591no—
1022#546—591no—
1023#546—591no—
1024#546—1181no—
1025#546—1181no—
1026#546—1181no—
1027#546—1181no—
1028D42—591no—
1029D42—591no—
1030D42—1181no—
1031D42—1181no—
1032#543—1181no—
1033#542—591no—
1034#542—591no—
1035#539—1181no—
1036#538—1181no—
1037#537—591no—
1038#537—591no—
1039#537—591no—
1040#537—1181no—
1041#537—1181no—
1042#535—591no—
1043#535—1181no—
1044#525—591no—
1045#525—1181no—
1046C2×C22⋊Q8—591no—
1047C2×#121—591no—
1048C2×#121—591no—
1049C2×#121—1181no—
1050#520—591no—
1051#496—591no—
1052#496—591no—
1053#495—591no—
1054#495—591no—
1055#489—591no—
1056#489—591no—
1057#486—591no—
1058#486C2×D5911yescharacteristic, complemented
1059#484—591no—
1060#484—591no—
1061#484—591no—
1062#484—591no—
1063#480—591no—
1064#480—591no—
1065#480—591no—
1066#480—591no—
1067#480—591no—
1068#480—591no—
1069#480C2×D5911yescharacteristic, complemented
1070#480C2×D5911yescharacteristic, complemented
1071#477—591no—
1072#477C2×D5911yescharacteristic, complemented
1073#474—591no—
1074#474—591no—
1075#468—591no—
1076#468—591no—
1077#468—591no—
1078#468—591no—
1079#468—591no—
1080#468—591no—
1081#468C2×D5911yescharacteristic, complemented
1082#468C2×D5911yescharacteristic, complemented
1083#467—591no—
1084#467—591no—
1085#466—591no—
1086#466—591no—
1087#466—591no—
1088#466—591no—
1089#466—591no—
1090#466—591no—
1091#464—591no—
1092#464—591no—
1093#464—591no—
1094#464—591no—
1095#463—591no—
1096#463—591no—
1097#463—591no—
1098#463—591no—
1099#460—591no—
1100#460C2×D5911yescharacteristic, complemented
1101#459—591no—
1102#459—591no—
1103#452—591no—
1104#452—591no—
1105#452—591no—
1106#452—591no—
1107#452—591no—
1108#452—591no—
1109#452—591no—
1110#452—591no—
1111#452—591no—
1112#452—591no—
1113#452C2×D5911yescharacteristic, complemented
1114#452C2×D5911yescharacteristic, complemented
1115#450—591no—
1116#450—591no—
1117#450—591no—
1118#450—591no—
1119#449—591no—
1120#449—591no—
1121#449—591no—
1122#449—591no—
1123#449—591no—
1124#449—591no—
1125#449—591no—
1126#449—591no—
1127#448—591no—
1128#448—591no—
1129#448—591no—
1130#448—591no—
1131#447—591no—
1132#447—591no—
1133#447—591no—
1134#447—591no—
1135#447—591no—
1136#447—591no—
1137#447—591no—
1138#447—591no—
1139#440—591no—
1140#440—591no—
1141#440—591no—
1142#440—591no—
1143C4×Q16—591no—
1144C4×Q16C2×D5911yescharacteristic, complemented
1145C4×D8—591no—
1146C4×D8—591no—
1147#436—591no—
1148#436C2×D5911yescharacteristic, complemented
1149#435—591no—
1150#435—591no—
1151#435—591no—
1152#435—591no—
1153C8×D4—591no—
1154C8×D4—591no—
1155#433—591no—
1156#433—591no—
1157#417—591no—
1158#417—591no—
1159#417C2×D5911yescharacteristic, complemented
1160#417C2×D5911yescharacteristic, complemented
1161C2×#103—591no—
1162C2×#102—591no—
1163C2×#102—591no—
1164C2×#102—591no—
1165#408—591no—
1166#408—591no—
1167#407—591no—
1168C2×C22⋊C8—591no—
1169C59#6162411yescharacteristic, complemented, Sylow
1170H(5,𝔽2)—2362no—
1171H(5,𝔽2)—2362no—
1172C2×#41—591no—
1173C2×#41—591no—
1174C2×#41—591no—
1175C2×#41—591no—
1176C2×#41—591no—
1177C2×#41—591no—
1178C2×#41—591no—
1179C2×#41—1181no—
1180C2×#41—1181no—
1181C2×#41—1181no—
1182C2×#41—1181no—
1183C2×#41—1181no—
1184C2×#41—2362no—
1185C2×#41—2362no—
1186C2×#41C22×D5911yescharacteristic
1187C2×#41C22×D5911yescharacteristic
1188C22×Q8—591no—
1189C22×Q8—591no—
1190C22×D4—591no—
1191C22×D4—591no—
1192C22×D4—591no—
1193C22×D4—591no—
1194C22×D4—591no—
1195C22×D4—1181no—
1196C22×D4—1181no—
1197C22×D4—1181no—
1198C22×D4—1181no—
1199C22×D4—1181no—
1200C22×D4—1181no—
1201C22×D4—1181no—
1202C22×D4—1181no—
1203C23×C4—591no—
1204C23×C4—1181no—
1205AGL(1,ℤ/8)—2362no—
1206AGL(1,ℤ/8)—2362no—
1207AGL(1,ℤ/8)—2362no—
1208AGL(1,ℤ/8)—2362no—
1209#135—2362no—
1210#135—2362no—
1211C2×Q16—591no—
1212C2×Q16—591no—
1213C2×Q16—591no—
1214C2×Q16—2362no—
1215C2×Q16C22×D5911yescharacteristic
1216C2×SD16—591no—
1217C2×SD16—591no—
1218C2×SD16—591no—
1219C2×SD16—591no—
1220C2×SD16—591no—
1221C2×SD16—591no—
1222C2×SD16—591no—
1223C2×SD16—591no—
1224C2×SD16—591no—
1225C2×SD16—591no—
1226C2×SD16—2362no—
1227C2×SD16C22×D5911yescharacteristic
1228C2×SD16C22×D5911yescharacteristic
1229C2×D8—591no—
1230C2×D8—591no—
1231C2×D8—591no—
1232C2×D8—591no—
1233C2×D8—591no—
1234C2×D8—591no—
1235C2×D8—591no—
1236C2×D8—591no—
1237C2×M16—591no—
1238C2×M16—591no—
1239C2×M16C22×D5911yescharacteristic
1240C2×M16C22×D5911yescharacteristic
1241C22×C8—591no—
1242C22×C8—591no—
1243C22×C8—591no—
1244C22×C8—591no—
1245C4⋊Q8—591no—
1246C4⋊Q8C22×D5911yescharacteristic
1247#127—21no—
1248#127—591no—
1249#127—1181no—
1250#127C22×D5911yescharacteristic
1251#126—1181no—
1252#126—1181no—
1253#125—21no—
1254#125—1181no—
1255#124—591no—
1256#124—591no—
1257#124—591no—
1258#124—591no—
1259#124—1181no—
1260#124—1181no—
1261#124—1181no—
1262#124—1181no—
1263#124—1181no—
1264#124—1181no—
1265#123—591no—
1266#123—591no—
1267#123—1181no—
1268#123—1181no—
1269#123—1181no—
1270#123—1181no—
1271#123—1181no—
1272#123—1181no—
1273#123—1181no—
1274#123—1181no—
1275#123—1181no—
1276#123—1181no—
1277C22⋊Q8—21no—
1278C22⋊Q8—21no—
1279C22⋊Q8—591no—
1280C22⋊Q8—591no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—591no—
1285C22⋊Q8—591no—
1286C22⋊Q8—591no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8—1181no—
1293C22⋊Q8—1181no—
1294C22⋊Q8—1181no—
1295C22⋊Q8—1181no—
1296C22⋊Q8—1181no—
1297C22⋊Q8—1181no—
1298C22⋊Q8—1181no—
1299C22⋊Q8—1181no—
1300C22⋊Q8—1181no—
1301C22⋊Q8—1181no—
1302C22⋊Q8C22×D5911yescharacteristic
1303C22⋊Q8C22×D5911yescharacteristic
1304#121—21no—
1305#121—21no—
1306#121—591no—
1307#121—591no—
1308#121—591no—
1309#121—591no—
1310#121—591no—
1311#121—591no—
1312#121—591no—
1313#121—591no—
1314#121—591no—
1315#121—591no—
1316#121—591no—
1317#121—591no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121—1181no—
1329#121—1181no—
1330#121—1181no—
1331#121—1181no—
1332#121—1181no—
1333#121—1181no—
1334#121—1181no—
1335#121—1181no—
1336#121—1181no—
1337#121—1181no—
1338#121—1181no—
1339#121—1181no—
1340#121—1181no—
1341#121—1181no—
1342#121—1181no—
1343#121—1181no—
1344#121—1181no—
1345#121C22×D5911yescharacteristic
1346#121C22×D5911yescharacteristic
1347#120—591no—
1348#120—591no—
1349#120—1181no—
1350#120—1181no—
1351#120—1181no—
1352#120—1181no—
1353#120—1181no—
1354#120—1181no—
1355#120—1181no—
1356#120—1181no—
1357#120—1181no—
1358#120—1181no—
1359C4×Q8—591no—
1360C4×Q8—591no—
1361C4×Q8C22×D5911yescharacteristic
1362C4×Q8C22×D5911yescharacteristic
1363C4×D4—21no—
1364C4×D4—21no—
1365C4×D4—591no—
1366C4×D4—591no—
1367C4×D4—591no—
1368C4×D4—591no—
1369C4×D4—591no—
1370C4×D4—591no—
1371C4×D4—591no—
1372C4×D4—1181no—
1373C4×D4—1181no—
1374C4×D4—1181no—
1375C4×D4—1181no—
1376C4×D4—1181no—
1377C4×D4—1181no—
1378C4×D4—1181no—
1379C4×D4—1181no—
1380C4×D4C22×D5911yescharacteristic
1381#117—591no—
1382#117—1181no—
1383C2×C4⋊C4—591no—
1384C2×C4⋊C4—591no—
1385C2×C4⋊C4—591no—
1386C2×C4⋊C4—1181no—
1387C2×C4⋊C4—1181no—
1388C2×C4⋊C4C22×D5911yescharacteristic
1389C2×C4⋊C4C22×D5911yescharacteristic
1390C2×C22⋊C4—1181no—
1391C2×C22⋊C4—1181no—
1392C2×C22⋊C4—1181no—
1393C2×C22⋊C4—1181no—
1394C2×C22⋊C4—1181no—
1395C2×C22⋊C4—1181no—
1396C2×C22⋊C4—1181no—
1397#107—591no—
1398#107—591no—
1399#107—591no—
1400#107—591no—
1401#107—591no—
1402#107C22×D5911yescharacteristic
1403#107C22×D5911yescharacteristic
1404#107C22×D5911yescharacteristic
1405C4⋊C8—591no—
1406C4⋊C8—591no—
1407C4⋊C8—591no—
1408C4⋊C8C22×D5911yescharacteristic
1409#103—591no—
1410#103—591no—
1411#103—591no—
1412#103—591no—
1413#103—591no—
1414#103—591no—
1415#103—591no—
1416#103—591no—
1417#103C22×D5911yescharacteristic
1418#103C22×D5911yescharacteristic
1419#103C22×D5911yescharacteristic
1420#103C22×D5911yescharacteristic
1421#102—591no—
1422#102—591no—
1423#102—591no—
1424#102—591no—
1425#102—591no—
1426#102—591no—
1427#102—591no—
1428#102—591no—
1429#102—591no—
1430#102—591no—
1431#102—591no—
1432#102—591no—
1433#102—591no—
1434#102—591no—
1435#102C22×D5911yescharacteristic
1436#102C22×D5911yescharacteristic
1437#102C22×D5911yescharacteristic
1438#102C22×D5911yescharacteristic
1439#102C22×D5911yescharacteristic
1440#102C22×D5911yescharacteristic
1441C22⋊C8—591no—
1442C22⋊C8—591no—
1443C22⋊C8—591no—
1444C22⋊C8—591no—
1445C22⋊C8—591no—
1446C22⋊C8—591no—
1447C22⋊C8—591no—
1448C22⋊C8—591no—
1449C22⋊C8—591no—
1450C22⋊C8—591no—
1451C22⋊C8C22×D5911yescharacteristic
1452C22⋊C8C22×D5911yescharacteristic
1453#97—591no—
1454#97—591no—
1455C4×C8—591no—
1456C4×C8C22×D5911yescharacteristic
1457C24—591no—
1458C24—1181no—
1459C24—1181no—
1460C24—1181no—
1461C24—1181no—
1462C24—1181no—
1463#41—22no—
1464#41—22no—
1465#41—41no—
1466#41—41no—
1467#41—1182no—
1468#41—1182no—
1469#41—1182no—
1470#41—1182no—
1471#41—4722no—
1472#41—4722no—
1473#41—2361no—
1474#41—2361no—
1475#41—2361no—
1476#41—2361no—
1477#41—2361no—
1478#41—2364no—
1479#41—2364no—
1480#41—2361no—
1481#41—2361no—
1482#41—2361no—
1483#41—2361no—
1484#41—2364no—
1485#41—2361no—
1486C2×Q8—21no—
1487C2×Q8—591no—
1488C2×Q8—591no—
1489C2×Q8—591no—
1490C2×Q8—1181no—
1491C2×Q8—1181no—
1492C2×Q8—1181no—
1493C2×Q8—1182no—
1494C2×Q8—2361no—
1495C2×Q8—2361no—
1496C2×Q8—2361no—
1497C2×Q8C23×D5911yescharacteristic
1498C2×Q8C23×D5911yescharacteristic
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—591no—
1506C2×D4—591no—
1507C2×D4—591no—
1508C2×D4—591no—
1509C2×D4—591no—
1510C2×D4—591no—
1511C2×D4—591no—
1512C2×D4—591no—
1513C2×D4—591no—
1514C2×D4—591no—
1515C2×D4—1182no—
1516C2×D4—1181no—
1517C2×D4—1181no—
1518C2×D4—1181no—
1519C2×D4—1181no—
1520C2×D4—1181no—
1521C2×D4—1181no—
1522C2×D4—1181no—
1523C2×D4—1181no—
1524C2×D4—1181no—
1525C2×D4—1181no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1182no—
1531C2×D4—1182no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—1181no—
1536C2×D4—1181no—
1537C2×D4—1181no—
1538C2×D4—1181no—
1539C2×D4—1181no—
1540C2×D4—1181no—
1541C2×D4—4722no—
1542C2×D4—4722no—
1543C2×D4—4722no—
1544C2×D4—4722no—
1545C2×D4—2361no—
1546C2×D4—2361no—
1547C2×D4—2361no—
1548C2×D4—2364no—
1549C2×D4—2361no—
1550C2×D4—2361no—
1551C2×D4—2361no—
1552C2×D4—2361no—
1553C2×D4—2364no—
1554C2×D4—2364no—
1555C2×D4—2364no—
1556C2×D4D4×D5911yescharacteristic
1557C2×D4C23×D5911yescharacteristic
1558C2×D4C23×D5911yescharacteristic
1559C22×C4—21no—
1560C22×C4—21no—
1561C22×C4—21no—
1562C22×C4—21no—
1563C22×C4—591no—
1564C22×C4—591no—
1565C22×C4—591no—
1566C22×C4—591no—
1567C22×C4—591no—
1568C22×C4—591no—
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—2361no—
1585C22×C4—2361no—
1586C22×C4—2364no—
1587C22×C4C23×D5911yescharacteristic
1588C22×C4C23×D5911yescharacteristic
1589Q16—22no—
1590Q16—1182no—
1591Q16—2361no—
1592Q16—2361no—
1593SD16—41no—
1594SD16—41no—
1595SD16—1182no—
1596SD16—1182no—
1597SD16—1182no—
1598SD16—1182no—
1599SD16—2361no—
1600SD16—2361no—
1601SD16—2361no—
1602SD16—2361no—
1603SD16—2361no—
1604SD16—2361no—
1605D8—1182no—
1606D8—1182no—
1607D8—2361no—
1608D8—2361no—
1609D8—2361no—
1610D8—2361no—
1611D8—2361no—
1612D8—2361no—
1613M16—41no—
1614M16—41no—
1615M16—2361no—
1616M16—2361no—
1617C2×C8—591no—
1618C2×C8—591no—
1619C2×C8—591no—
1620C2×C8—591no—
1621C2×C8—2361no—
1622C2×C8—2361no—
1623C2×C8—2361no—
1624C2×C8—2361no—
1625C2×C8C23×D5911yescharacteristic
1626C2×C8C23×D5911yescharacteristic
1627C2×C8C23×D5911yescharacteristic
1628C2×C8C23×D5911yescharacteristic
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—21no—
1633C4⋊C4—21no—
1634C4⋊C4—21no—
1635C4⋊C4—21no—
1636C4⋊C4—591no—
1637C4⋊C4—591no—
1638C4⋊C4—591no—
1639C4⋊C4—591no—
1640C4⋊C4—591no—
1641C4⋊C4—591no—
1642C4⋊C4—591no—
1643C4⋊C4—1181no—
1644C4⋊C4—1181no—
1645C4⋊C4—1181no—
1646C4⋊C4—1181no—
1647C4⋊C4—1181no—
1648C4⋊C4—1181no—
1649C4⋊C4—1181no—
1650C4⋊C4—1181no—
1651C4⋊C4—1181no—
1652C4⋊C4—1181no—
1653C4⋊C4—1181no—
1654C4⋊C4—1181no—
1655C4⋊C4D4×D5911yescharacteristic
1656C4⋊C4C23×D5911yescharacteristic
1657C4⋊C4C23×D5911yescharacteristic
1658C4⋊C4C23×D5911yescharacteristic
1659C4⋊C4C23×D5911yescharacteristic
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—591no—
1665C22⋊C4—591no—
1666C22⋊C4—591no—
1667C22⋊C4—591no—
1668C22⋊C4—591no—
1669C22⋊C4—591no—
1670C22⋊C4—591no—
1671C22⋊C4—591no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C22⋊C4—1181no—
1679C22⋊C4—1181no—
1680C22⋊C4—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4—1181no—
1683C22⋊C4—1181no—
1684C22⋊C4—1181no—
1685C22⋊C4—1181no—
1686C22⋊C4—1181no—
1687C22⋊C4—1181no—
1688C22⋊C4—1181no—
1689C22⋊C4—1181no—
1690C22⋊C4—1181no—
1691C22⋊C4—1181no—
1692C22⋊C4—1181no—
1693C22⋊C4—1181no—
1694C22⋊C4—1181no—
1695C22⋊C4—1181no—
1696C22⋊C4—1181no—
1697C22⋊C4—1181no—
1698C22⋊C4—1181no—
1699C22⋊C4—1181no—
1700C22⋊C4D4×D5911yescharacteristic
1701C22⋊C4D4×D5911yescharacteristic
1702C42—21no—
1703C42—21no—
1704C42—591no—
1705C42—1181no—
1706C42—1181no—
1707C42C23×D5911yescharacteristic
1708C23—21no—
1709C23—21no—
1710C23—591no—
1711C23—591no—
1712C23—591no—
1713C23—1182no—
1714C23—1181no—
1715C23—1181no—
1716C23—1181no—
1717C23—1181no—
1718C23—4721no—
1719C23—4721no—
1720C23—4721no—
1721C23—4721no—
1722C23—4721no—
1723C23—4721no—
1724C23—4721no—
1725C23—4721no—
1726C23—4721no—
1727C23—2361no—
1728C23—2361no—
1729C23—2362no—
1730C23—2362no—
1731C23—2362no—
1732C23—2362no—
1733C23—2362no—
1734C23—2362no—
1735C23C2×D4×D5911yescharacteristic
1736C23C2×D4×D5911yescharacteristic
1737Q8—21no—
1738Q8—21no—
1739Q8—21no—
1740Q8—81no—
1741Q8—1181no—
1742Q8—1181no—
1743Q8—1181no—
1744Q8—1181no—
1745Q8—4721no—
1746Q8—4721no—
1747Q8—2361no—
1748Q8—2362no—
1749Q8#1427377312yes—
1750D4—21no—
1751D4—21no—
1752D4—21no—
1753D4—21no—
1754D4—41no—
1755D4—42no—
1756D4—42no—
1757D4—81no—
1758D4—81no—
1759D4—81no—
1760D4—81no—
1761D4—592no—
1762D4—1182no—
1763D4—1184no—
1764D4—1182no—
1765D4—1181no—
1766D4—1181no—
1767D4—1181no—
1768D4—1181no—
1769D4—1181no—
1770D4—1181no—
1771D4—1181no—
1772D4—4721no—
1773D4—4721no—
1774D4—4721no—
1775D4—4721no—
1776D4—4721no—
1777D4—4721no—
1778D4—4721no—
1779D4—4721no—
1780D4—4721no—
1781D4—4721no—
1782D4—4721no—
1783D4—2361no—
1784D4—2362no—
1785D4—2362no—
1786D4—2362no—
1787D4—2362no—
1788D4—2362no—
1789D4—2361no—
1790D4—2361no—
1791D4—2361no—
1792D4—2362no—
1793D4—2362no—
1794D4—2362no—
1795D4—2362no—
1796D4—2362no—
1797D4—2362no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—42no—
1809C2×C4—42no—
1810C2×C4—81no—
1811C2×C4—81no—
1812C2×C4—591no—
1813C2×C4—591no—
1814C2×C4—591no—
1815C2×C4—591no—
1816C2×C4—591no—
1817C2×C4—1184no—
1818C2×C4—1181no—
1819C2×C4—1181no—
1820C2×C4—1181no—
1821C2×C4—1181no—
1822C2×C4—1181no—
1823C2×C4—1181no—
1824C2×C4—1181no—
1825C2×C4—1181no—
1826C2×C4—1181no—
1827C2×C4—1181no—
1828C2×C4—4721no—
1829C2×C4—4721no—
1830C2×C4—4721no—
1831C2×C4—4721no—
1832C2×C4—4721no—
1833C2×C4—4721no—
1834C2×C4—4721no—
1835C2×C4—4721no—
1836C2×C4—4721no—
1837C2×C4—2361no—
1838C2×C4—2361no—
1839C2×C4—2362no—
1840C2×C4—2362no—
1841C2×C4—2362no—
1842C2×C4—2362no—
1843C2×C4—2361no—
1844C2×C4—2362no—
1845C2×C4C2×D4×D5911yescharacteristic
1846C2×C4C2×D4×D5911yescharacteristic
1847C2×C4C2×D4×D5911yescharacteristic
1848C2×C4C2×D4×D5911yescharacteristic
1849C2×C4C24×D5911yescharacteristic
1850C8—21no—
1851C8—21no—
1852C8—21no—
1853C8—21no—
1854C8—1181no—
1855C8—1181no—
1856C8—1181no—
1857C8—1181no—
1858C22—21no—
1859C22—21no—
1860C22—21no—
1861C22—21no—
1862C22—21no—
1863C22—21no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—592no—
1871C22—1181no—
1872C22—1181no—
1873C22—1182no—
1874C22—1181no—
1875C22—1181no—
1876C22—1181no—
1877C22—1181no—
1878C22—1181no—
1879C22—1181no—
1880C22—9442no—
1881C22—9442no—
1882C22—9442no—
1883C22—9442no—
1884C22—4722no—
1885C22—4724no—
1886C22—2361no—
1887C22—2361no—
1888C22—2361no—
1889C22—2361no—
1890C22—2361no—
1891C22—2361no—
1892C22—2361no—
1893C22—2361no—
1894C22—2361no—
1895C22—2361no—
1896C22—2361no—
1897C22C22×D4×D5911yescharacteristic
1898C4—21no—
1899C4—21no—
1900C4—22no—
1901C4—21no—
1902C4—21no—
1903C4—41no—
1904C4—41no—
1905C4—41no—
1906C4—41no—
1907C4—41no—
1908C4—1181no—
1909C4—1181no—
1910C4—1181no—
1911C4—1181no—
1912C4—1181no—
1913C4—2361no—
1914C4—2361no—
1915C4—2361no—
1916C4—2361no—
1917C4H(5,𝔽2)×D5911yescharacteristic
1918C4C2×#1427377311yescharacteristic
1919C2—41no—
1920C2—41no—
1921C2—81no—
1922C2—81no—
1923C2—1182no—
1924C2—4721no—
1925C2—4721no—
1926C2—4721no—
1927C2—2361no—
1928C2—2361no—
1929C2—2362no—
1930C2#2143772611yescharacteristic
1931C2#576×D5911yescharacteristic
1932C2#2143887911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3333C2
socleC22×C59C23×D4
hypercenter#3333D59
hypocenterC59#61624
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3333

Complements

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

NH ≅ G/Ntype
1. #21438324C2semidirect
2. #21437764C2semidirect
3. #21436430C2semidirect
4. #21436180C2semidirect
5. #21436171C2semidirect
6. #21436088C2semidirect
7. #21436084C2semidirect
8. #21435908C2semidirect
9. #21435907C2semidirect
10. #21435838C2semidirect
11. #21435835C2semidirect
12. #21435708C2semidirect
13. #21435704C2semidirect
14. #21435639C2semidirect
15. #21435637C2semidirect
16. #21435598C2semidirect
17. #21435586C2semidirect
18. #21435195C2semidirect
19. #21435193C2semidirect
20. #21434996C2semidirect
21. #21434994C2semidirect
22. #21434897C2semidirect
23. #21434846C2semidirect
24. #21434365C2semidirect
25. #21434364C2semidirect
26. #21433404C2semidirect
27. #21433402C2semidirect
28. #21433349C2semidirect
29. #452×D59C2semidirect
30. #21433140C2semidirect
31. C59×#3333C2semidirect
32. C2×#14273773C22semidirect
34. C2×#14273755C22semidirect
35. C2×#14273755C22semidirect
36. C2×#14273754C22semidirect
37. C2×#14273752C22semidirect
38. C2×#14273750C22semidirect
39. C2×#14273747C22semidirect
40. C2×Q16×D59C22semidirect
41. C2×SD16×D59C22semidirect
44. #16838107C22semidirect
46. #16838064C22semidirect
47. #16838064C22semidirect
48. #16838062C22semidirect
49. #16838059C22semidirect
50. #16838055C22semidirect
51. #16838053C22semidirect
57. #16838048C22semidirect
59. #16838043C22semidirect
61. #16838037C22semidirect
63. #16838036C22semidirect
65. #16838026C22semidirect
66. #16838024C22semidirect
69. #16837983C22semidirect
71. #16837982C22semidirect
73. #16837981C22semidirect
75. #16837965C22semidirect
78. C22⋊Q8×D59C22semidirect
79. C2×#14273702C22semidirect
82. #16837884C22semidirect
83. #16837789C22semidirect
84. #16837788C22semidirect
85. #16837786C22semidirect
86. #16837783C22semidirect
87. #16837764C22semidirect
88. #16837760C22semidirect
89. #16837747C22semidirect
90. #16837739C22semidirect
91. #16837739C22semidirect
92. #16837737C22semidirect
93. #16837736C22semidirect
94. #16837717C22semidirect
95. #16837717C22semidirect
96. #16837717C22semidirect
97. #16837715C22semidirect
98. #16837714C22semidirect
99. #16837714C22semidirect
100. #16837695C22semidirect
101. #16837681C22semidirect
102. #16837679C22semidirect
103. #16837650C22semidirect
104. #16837649C22semidirect
105. #16837648C22semidirect
106. #16837648C22semidirect
107. #16837647C22semidirect
108. #16837646C22semidirect
109. #16837644C22semidirect
110. #16837641C22semidirect
111. #16837639C22semidirect
112. #16837639C22semidirect
113. #16837637C22semidirect
114. #16837637C22semidirect
115. #16837637C22semidirect
116. #16837636C22semidirect
117. #16837626C22semidirect
118. #16837624C22semidirect
119. #16837624C22semidirect
120. #16837623C22semidirect
121. #16837620C22semidirect
122. #16837618C22semidirect
123. #16837618C22semidirect
124. #16837616C22semidirect
125. #16837601C22semidirect
126. #16837596C22semidirect
127. #16837594C22semidirect
128. #16837567C22semidirect
129. #16837567C22semidirect
130. #16837567C22semidirect
131. #16837566C22semidirect
132. #16837566C22semidirect
133. #16837565C22semidirect
134. #16837564C22semidirect
135. #16837563C22semidirect
136. #16837562C22semidirect
137. #16837561C22semidirect
138. #16837554C22semidirect
139. #16837554C22semidirect
140. #16837552C22semidirect
141. #16837551C22semidirect
144. #16837550C22semidirect
145. #16837548C22semidirect
146. #16837548C22semidirect
147. #16837547C22semidirect
148. #16837546C22semidirect
149. #16837545C22semidirect
150. #16837542C22semidirect
151. #16837542C22semidirect
152. #16837542C22semidirect
153. #16837539C22semidirect
154. #16837538C22semidirect
155. #16837538C22semidirect
156. #16837537C22semidirect
157. #16837537C22semidirect
158. #16837537C22semidirect
159. #16837537C22semidirect
160. #16837537C22semidirect
161. #16837535C22semidirect
162. #16837505C22semidirect
163. #16837501C22semidirect
164. #16837500C22semidirect
165. #16837500C22semidirect
166. #16837494C22semidirect
167. C4×D472C22semidirect
168. #16837484C22semidirect
169. #16837478C22semidirect
170. #16837476C22semidirect
171. #16837474C22semidirect
172. #16837472C22semidirect
173. #16837471C22semidirect
174. C8×D236C22semidirect
175. (C22⋊D59)⋊C8C22semidirect
176. #16837462C22semidirect
177. #16837461C22semidirect
178. #16837402C22semidirect
179. #16837401C22semidirect
180. #103×D59C22semidirect
181. C2×#14273647C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #16837370C22semidirect
185. #16837367C22semidirect
186. #16837365C22semidirect
187. C22⋊C8×D59C22semidirect
188. C59×#554C22semidirect
190. C59×#486C22semidirect
191. C59×#480C22semidirect
192. C59×#480C22semidirect
193. C59×#477C22semidirect
194. C59×#468C22semidirect
195. C59×#468C22semidirect
196. C59×#460C22semidirect
197. C59×#452C22semidirect
198. C59×#452C22semidirect
199. C4×Q16×C59C22semidirect
200. C59×#436C22semidirect
201. C59×#417C22semidirect
202. C59×#417C22semidirect
956. #3333D59semidirect
1011. #554C2×D59semidirect
1058. #486C2×D59semidirect
1069. #480C2×D59semidirect
1070. #480C2×D59semidirect
1072. #477C2×D59semidirect
1081. #468C2×D59semidirect
1082. #468C2×D59semidirect
1100. #460C2×D59semidirect
1113. #452C2×D59semidirect
1114. #452C2×D59semidirect
1144. C4×Q16C2×D59semidirect
1148. #436C2×D59semidirect
1159. #417C2×D59semidirect
1160. #417C2×D59semidirect
1169. C59#61624semidirect

Maximal subgroups

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

subgroupindex
#214383242
#214377642
#214364302
#214361802
#214361712
#214360882
#214360842
#214359082
#214359072
#214358382
#214358352
#214357082
#214357042
#214356392
#214356372
#214355982
#214355862
#214351952
#214351932
#214349962
#214349942
#214348972
#214348462
#214343652
#214343642
#214334042
#214334022
#214333492
#452×D592
#214331402
C59×#33332
#6162459