Finite Group Databasebeta

← #29475923

Subgroups — #29475923

Order 15104.

2110 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438458C211yesmaximal, characteristic, complemented
2#21437890C211yesmaximal, characteristic, complemented
3#21436353C211yesmaximal, characteristic, complemented
4#21436298C211yesmaximal, characteristic, complemented
5#21436155C211yesmaximal, characteristic, complemented
6#21436136C211yesmaximal, characteristic, complemented
7#21436083C211yesmaximal, characteristic, complemented
8#21436058C211yesmaximal, characteristic, complemented
9#21435994C211yesmaximal, characteristic, complemented
10#21435939C211yesmaximal, characteristic, complemented
11#21435796C211yesmaximal, characteristic, complemented
12#21435775C211yesmaximal, characteristic, complemented
13#21435721C211yesmaximal, characteristic, complemented
14#21435700C211yesmaximal, characteristic, complemented
15#21435675C211yesmaximal, characteristic, complemented
16#21435636C211yesmaximal, characteristic, complemented
17#21435584C211yesmaximal, characteristic, complemented
18#21435579C211yesmaximal, characteristic, complemented
19#21435082C211yesmaximal, characteristic, complemented
20#21435066C211yesmaximal, characteristic, complemented
21#21434982C211yesmaximal, characteristic, complemented
22#21434966C211yesmaximal, characteristic, complemented
23#21434961C211yesmaximal, characteristic, complemented
24#21434942C211yesmaximal, characteristic, complemented
25#21434206C211yesmaximal, characteristic, complemented
26#21434149C211yesmaximal, characteristic, complemented
27#21433404C211yesmaximal, characteristic, complemented
28#21433382C211yesmaximal, characteristic, complemented
29#21433361C211yesmaximal, characteristic, complemented
30#21433169C211yesmaximal, characteristic, complemented
31C59×#3013C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic, complemented
33C2×#14273754C2211yescharacteristic
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273752C2211yescharacteristic, complemented
36C2×#14273750C2211yescharacteristic, complemented
37C22×#11745671C2211yescharacteristic, complemented
38C2×D8×D59C2211yescharacteristic
39#16838140—21no—
40#16838140—21no—
41#16838123C2211yescharacteristic, complemented
42#16838100C2211yescharacteristic, complemented
43#16838099C2211yescharacteristic, complemented
44#16838071C2211yescharacteristic, complemented
45#16838070—21no—
46#16838063C2211yescharacteristic
47#16838063C2211yescharacteristic, complemented
48#16838063C2211yescharacteristic, complemented
49#16838063C2211yescharacteristic, complemented
50#16838053C2211yescharacteristic, complemented
51#16838043C2211yescharacteristic, complemented
52#16838041—21no—
53#16838040—21no—
54#16838040—21no—
55#16838040—21no—
56#16838040—21no—
57#16838040C2211yescharacteristic
58#16838040C2211yescharacteristic, complemented
59#16838040C2211yescharacteristic, complemented
60#16838040C2211yescharacteristic, complemented
61#16838040C2211yescharacteristic, complemented
62#16838036C2211yescharacteristic, complemented
63#16838022—21no—
64#16837992—21no—
65#16837984—21no—
66#16837982C2211yescharacteristic
67#16837976—21no—
68#16837976C2211yescharacteristic, complemented
69#16837968—21no—
70#16837968C2211yescharacteristic
71#16837966—21no—
72#16837966C2211yescharacteristic, complemented
73#16837966C2211yescharacteristic, complemented
74#16837948—21no—
75#16837948C2211yescharacteristic
76#16837947C2211yescharacteristic, complemented
77#16837938C2211yescharacteristic, complemented
78C2×#14273716—21no—
79C2×#14273716C2211yescharacteristic, complemented
80#41×Dic59C2211yescharacteristic, complemented
81#16837788C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837787C2211yescharacteristic, complemented
84#16837787C2211yescharacteristic, complemented
85#16837763C2211yescharacteristic, complemented
86#16837763C2211yescharacteristic, complemented
87#16837758C2211yescharacteristic, complemented
88#16837758C2211yescharacteristic, complemented
89#16837742C2211yescharacteristic, complemented
90#16837741C2211yescharacteristic, complemented
91#16837740C2211yescharacteristic, complemented
92#16837736C2211yescharacteristic, complemented
93#16837731C2211yescharacteristic, complemented
94#16837727C2211yescharacteristic, complemented
95#16837727C2211yescharacteristic, complemented
96#16837727C2211yescharacteristic, complemented
97#16837727C2211yescharacteristic, complemented
98#16837723C2211yescharacteristic, complemented
99#16837720C2211yescharacteristic, complemented
100#16837715C2211yescharacteristic, complemented
101#16837711C2211yescharacteristic, complemented
102#16837704C2211yescharacteristic, complemented
103#16837695C2211yescharacteristic, complemented
104#16837690C2211yescharacteristic, complemented
105#16837657C2211yescharacteristic, complemented
106#16837655C2211yescharacteristic, complemented
107#16837655C2211yescharacteristic, complemented
108#16837653C2211yescharacteristic, complemented
109#16837651C2211yescharacteristic, complemented
110#16837651C2211yescharacteristic, complemented
111#16837650C2211yescharacteristic, complemented
112#16837645C2211yescharacteristic, complemented
113#16837640C2211yescharacteristic, complemented
114#16837638C2211yescharacteristic, complemented
115#16837638C2211yescharacteristic, complemented
116#16837636C2211yescharacteristic, complemented
117#16837634C2211yescharacteristic, complemented
118#16837634C2211yescharacteristic, complemented
119#16837633C2211yescharacteristic, complemented
120#16837628C2211yescharacteristic, complemented
121#16837626C2211yescharacteristic, complemented
122#16837626C2211yescharacteristic, complemented
123#16837626C2211yescharacteristic, complemented
124#16837620C2211yescharacteristic, complemented
125#16837620C2211yescharacteristic, complemented
126#16837620C2211yescharacteristic, complemented
127#16837620C2211yescharacteristic, complemented
128#16837619C2211yescharacteristic, complemented
129#16837619C2211yescharacteristic, complemented
130#16837619C2211yescharacteristic, complemented
131#16837600C2211yescharacteristic, complemented
132#16837595C2211yescharacteristic, complemented
133#16837563C2211yescharacteristic, complemented
134#16837563C2211yescharacteristic, complemented
135#16837563C2211yescharacteristic, complemented
136#16837552C2211yescharacteristic, complemented
137#16837551C2211yescharacteristic, complemented
138#16837551C2211yescharacteristic, complemented
139#16837551C2211yescharacteristic, complemented
140#16837550C2211yescharacteristic
141#16837550C2211yescharacteristic
142#16837547C2211yescharacteristic
143#16837547C2211yescharacteristic, complemented
144#16837547C2211yescharacteristic, complemented
145#16837547C2211yescharacteristic, complemented
146#16837547C2211yescharacteristic, complemented
147#16837547C2211yescharacteristic, complemented
148#16837546C2211yescharacteristic, complemented
149#16837541C2211yescharacteristic, complemented
150#16837541C2211yescharacteristic, complemented
151#16837541C2211yescharacteristic, complemented
152#16837541C2211yescharacteristic, complemented
153#16837538C2211yescharacteristic
154#16837538C2211yescharacteristic, complemented
155#16837538C2211yescharacteristic, complemented
156#16837538C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic
158#16837537C2211yescharacteristic
159#16837535C2211yescharacteristic, complemented
160#16837534C2211yescharacteristic, complemented
161#16837511C2211yescharacteristic, complemented
162#16837509C2211yescharacteristic, complemented
163#16837505C2211yescharacteristic, complemented
164#16837503C2211yescharacteristic, complemented
165SD16×Dic59C2211yescharacteristic, complemented
166#16837487C2211yescharacteristic, complemented
167D8×Dic59C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic, complemented
169#16837478C2211yescharacteristic, complemented
170#16837477C2211yescharacteristic, complemented
171#16837476C2211yescharacteristic, complemented
172#16837473C2211yescharacteristic, complemented
173#16837471C2211yescharacteristic, complemented
174#16837470C2211yescharacteristic, complemented
175C8×C22⋊D59C2211yescharacteristic, complemented
176(C22⋊D59)⋊C8C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#16837452C2211yescharacteristic, complemented
179#16837411C2211yescharacteristic, complemented
180#16837405C2211yescharacteristic, complemented
181#16837402C2211yescharacteristic, complemented
182#16837398C2211yescharacteristic, complemented
183#16837397C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837369C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C2×2−1+4×C59C2211yescharacteristic, complemented
189C2×#137×C59C2211yescharacteristic, complemented
190C2×#135×C59C2211yescharacteristic, complemented
191C59×#537C2211yescharacteristic, complemented
192C59×#452C2211yescharacteristic, complemented
193C59×#452C2211yescharacteristic, complemented
194C59×#451C2211yescharacteristic, complemented
195C59×#451C2211yescharacteristic, complemented
196C59×#449C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#448C2211yescharacteristic, complemented
199C59×#448C2211yescharacteristic, complemented
200C59×#417C2211yescharacteristic, complemented
201C2×#103×C59C2211yescharacteristic, complemented
202C59×#408C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205C2×#11745689C2311yescharacteristic
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745685—21no—
209C2×#11745685—21no—
210C2×#11745685C2311yescharacteristic
211C2×#11745687—21no—
212C22×D236—21no—
213C22×D236C2311yescharacteristic
214C22×D236C2311yescharacteristic
215C2×D4×D59—21no—
216C2×D4×D59—21no—
217C2×D4×D59—21no—
218C2×D4×D59C2311yescharacteristic
219C2×D4×D59C2311yescharacteristic
220C2×D4×D59C2311yescharacteristic
221#14273754—42no—
222#14273754—42no—
223#14273752—42no—
224#14273750—42no—
225C2×#11745671—42no—
226C2×#11745671C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234C2×D472C2311yescharacteristic
235C2×D472C2311yescharacteristic
236C2×D472C2311yescharacteristic
237C2×D472C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242D8×D59—42no—
243C2×#11745664C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C22×C59⋊C8C2311yescharacteristic
247C2×C8×D59C2311yescharacteristic
248C2×C8×D59C2311yescharacteristic
249#14273726C2311yescharacteristic
250#14273725—21no—
251#14273725D411yescharacteristic
252#14273723—21no—
253#14273723—21no—
254#14273723—21no—
255#14273723—21no—
256#14273723D411yescharacteristic
257#14273723C2311yescharacteristic
258#14273722—21no—
259#14273722—21no—
260#14273722—21no—
261#14273720—21no—
262#14273720—21no—
263#14273718C2311yescharacteristic
264#14273716—21no—
265#14273716—21no—
266#14273716—21no—
267#14273716—21no—
268#14273716—21no—
269#14273716—21no—
270#14273716—21no—
271#14273716—21no—
272#14273716—21no—
273#14273716D411yescharacteristic
274#14273716C2311yescharacteristic
275#14273716C2311yescharacteristic
276#14273716C2311yescharacteristic
277#14273716C2311yescharacteristic
278#14273716C2311yescharacteristic
279#14273714D411yescharacteristic
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712—21no—
286#14273711—21no—
287#14273710—21no—
288#14273710—21no—
289#14273710—21no—
290#14273710—21no—
291#14273710—21no—
292#14273710—21no—
293#14273710—21no—
294#14273710—21no—
295#14273708—21no—
296#14273705—21no—
297#14273705—21no—
298#14273703—21no—
299#14273703—21no—
300#14273703—21no—
301#14273703—21no—
302#14273703C2311yescharacteristic
303#14273703C2311yescharacteristic
304#14273703C2311yescharacteristic
305#14273703C2311yescharacteristic
306#14273703C2311yescharacteristic
307#14273702—21no—
308#14273702—21no—
309#14273702C2311yescharacteristic
310#14273702C2311yescharacteristic
311#14273701—21no—
312#14273701—21no—
313#14273701—21no—
314#14273701—21no—
315#14273701—21no—
316#14273701—21no—
317#14273701C2311yescharacteristic
318#14273701C2311yescharacteristic
319#14273701C2311yescharacteristic
320#14273701C2311yescharacteristic
321#14273701C2311yescharacteristic
322#14273701C2311yescharacteristic
323#14273701C2311yescharacteristic
324#14273701C2311yescharacteristic
325#14273700—21no—
326#14273700—21no—
327#14273700—21no—
328#14273699—21no—
329#14273699—21no—
330#14273699—21no—
331#14273699—21no—
332#14273699—21no—
333#14273699—21no—
334#14273699D411yescharacteristic
335#14273699D411yescharacteristic
336#14273699D411yescharacteristic
337#14273699D411yescharacteristic
338#14273698—21no—
339#14273698—21no—
340#14273698C2311yescharacteristic
341#14273697—21no—
342#14273697—21no—
343#14273697—21no—
344#14273695—21no—
345#14273695—21no—
346#14273695—21no—
347#14273695—21no—
348#14273695—21no—
349#14273695—21no—
350#14273695—21no—
351#14273695—21no—
352#14273695—21no—
353#14273695—21no—
354#14273695—21no—
355Q8×Dic59C2311yescharacteristic
356Q8×Dic59C2311yescharacteristic
357Q8×Dic59C2311yescharacteristic
358#14273692—21no—
359D4×Dic59—21no—
360D4×Dic59—21no—
361D4×Dic59C2311yescharacteristic
362D4×Dic59C2311yescharacteristic
363D4×Dic59C2311yescharacteristic
364#14273689C2311yescharacteristic
365#14273689C2311yescharacteristic
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59—21no—
369C4×C22⋊D59—21no—
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59C2311yescharacteristic
373C4×C22⋊D59C2311yescharacteristic
374C4×C22⋊D59C2311yescharacteristic
375C4×C22⋊D59C2311yescharacteristic
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379#14273686—21no—
380#14273686C2311yescharacteristic
381#14273686C2311yescharacteristic
382#14273685—21no—
383#14273685C2311yescharacteristic
384C4⋊C4×D59C2311yescharacteristic
385C2×(C2×D59)⋊C4—21no—
386C2×(C2×D59)⋊C4—21no—
387C2×(C2×D59)⋊C4—21no—
388C2×(C2×D59)⋊C4—21no—
389C2×(C2×D59)⋊C4—21no—
390C2×(C2×D59)⋊C4—21no—
391C2×(C2×D59)⋊C4—21no—
392C22⋊C4×D59—21no—
393C2×C4×Dic59—21no—
394C2×C4×Dic59C2311yescharacteristic
395#14273661C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273659C2311yescharacteristic
401#14273658C2311yescharacteristic
402#14273658C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439#14273637C2311yescharacteristic
440#14273637C2311yescharacteristic
441C8×Dic59C2311yescharacteristic
442C8×Dic59C2311yescharacteristic
4432−1+4×C59—42no—
4442−1+4×C59—42no—
445C2×#41×C59—21no—
446C2×#41×C59—21no—
447C2×#41×C59—21no—
448C2×#41×C59C2311yescharacteristic
449C2×#41×C59C2311yescharacteristic
450C2×#41×C59C2311yescharacteristic
451C2×#41×C59C2311yescharacteristic
452C2×#41×C59C2311yescharacteristic
453C22×Q8×C59—21no—
454C22×Q8×C59C2311yescharacteristic
455C22×Q8×C59C2311yescharacteristic
456C22×Q8×C59C2311yescharacteristic
457#137×C59—42no—
458#135×C59—42no—
459C2×Q16×C59C2311yescharacteristic
460C2×Q16×C59C2311yescharacteristic
461C2×Q16×C59C2311yescharacteristic
462C2×SD16×C59C2311yescharacteristic
463C2×SD16×C59C2311yescharacteristic
464C2×SD16×C59C2311yescharacteristic
465C2×SD16×C59C2311yescharacteristic
466C2×D8×C59C2311yescharacteristic
467C2×M16×C59C2311yescharacteristic
468C22×C8×C59C2311yescharacteristic
469C22⋊Q8×C59—21no—
470C22⋊Q8×C59C2311yescharacteristic
471C22⋊Q8×C59C2311yescharacteristic
472#121×C59—21no—
473#121×C59—21no—
474#121×C59—21no—
475#121×C59C2311yescharacteristic
476#121×C59C2311yescharacteristic
477C2×C4⋊C4×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C22⋊C8×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495#41×C59—22no—
496#41×C59—22no—
497#41×C59—22no—
498#41×C59—22no—
499#41×C59—41no—
500#41×C59—41no—
501#41×C59—41no—
502#41×C59—41no—
503#41×C59—44no—
504#41×C59—41no—
505#41×C59—41no—
506#41×C59—44no—
507#41×C59—44no—
508C2×Q8×C59—21no—
509C2×Q8×C59—21no—
510C2×Q8×C59—21no—
511C2×Q8×C59—22no—
512C2×Q8×C59—22no—
513C2×Q8×C59—41no—
514C2×Q8×C59—41no—
515C2×Q8×C59—41no—
516C2×Q8×C59—41no—
517C2×Q8×C59—44no—
518C2×Q8×C59C2×D411yescharacteristic
519C2×Q8×C59C2411yescharacteristic
520C2×Q8×C59C2411yescharacteristic
521C2×Q8×C59C2411yescharacteristic
522C2×Q8×C59C2411yescharacteristic
523C2×D4×C59—21no—
524C2×D4×C59—21no—
525C2×D4×C59—21no—
526C2×D4×C59—21no—
527C2×D4×C59—21no—
528C2×D4×C59—21no—
529C2×D4×C59C2×D411yescharacteristic
530C2×D4×C59C2×D411yescharacteristic
531C2×D4×C59C2×D411yescharacteristic
532C2×D4×C59C2411yescharacteristic
533C2×D4×C59C2411yescharacteristic
534C22×C4×C59—21no—
535C22×C4×C59—21no—
536C22×C4×C59—21no—
537C22×C4×C59—21no—
538C22×C4×C59—21no—
539C22×C4×C59—21no—
540C22×C4×C59—21no—
541C22×C4×C59—21no—
542C22×C4×C59C2411yescharacteristic
543C22×C4×C59C2411yescharacteristic
544C22×C4×C59C2411yescharacteristic
545C2×C22⋊D59—21no—
546C2×C22⋊D59—21no—
547C2×C22⋊D59—21no—
548C2×C22⋊D59—21no—
549C2×C22⋊D59—21no—
550C2×C22⋊D59—21no—
551C2×C22⋊D59—21no—
552C2×C22⋊D59—21no—
553C2×C22⋊D59—21no—
554C2×C22⋊D59—21no—
555C2×C22⋊D59—21no—
556C2×C22⋊D59—21no—
557C2×C22⋊D59—21no—
558C2×C22⋊D59—21no—
559C2×C22⋊D59C2×D411yescharacteristic
560C2×C22⋊D59C2×D411yescharacteristic
561C2×C22⋊D59C2×D411yescharacteristic
562C2×C22⋊D59C2×D411yescharacteristic
563C2×C22⋊D59C2×D411yescharacteristic
564C2×C22⋊D59C2×D411yescharacteristic
565C22×Dic59—21no—
566C22×Dic59—21no—
567C22×Dic59—21no—
568C22×Dic59C2×D411yescharacteristic
569C22×Dic59C2×D411yescharacteristic
570#11745689—22no—
571#11745689—22no—
572#11745689—41no—
573#11745689—41no—
574#11745689—41no—
575#11745689—41no—
576#11745687—82no—
577D4×D59—22no—
578D4×D59—22no—
579D4×D59—41no—
580D4×D59—41no—
581D4×D59—41no—
582D4×D59—41no—
583D4×D59—44no—
584D4×D59—44no—
585D4×D59—82no—
586#11745685—41no—
587#11745685—41no—
588#11745685—44no—
589#11745685—82no—
590C2×D236—21no—
591C2×D236—21no—
592C2×D236—21no—
593C2×D236—21no—
594C2×D236—21no—
595C2×D236—21no—
596C2×D236—21no—
597C2×D236—41no—
598C2×D236—41no—
599C2×D236—41no—
600C2×D236—41no—
601C2×D236—44no—
602C2×D236C2×D411yescharacteristic
603C2×D236C2411yescharacteristic
604C2×D236C2411yescharacteristic
605C2×D236C2411yescharacteristic
606C2×D236C2411yescharacteristic
607C2×C4×D59—21no—
608C2×C4×D59—21no—
609C2×C4×D59—21no—
610C2×C4×D59—21no—
611C2×C4×D59—21no—
612C2×C4×D59—21no—
613C2×C4×D59C2411yescharacteristic
614C2×C4×D59C2411yescharacteristic
615C2×Dic118—21no—
616C2×Dic118C2×D411yescharacteristic
617Q16×C59—22no—
618Q16×C59—41no—
619Q16×C59—41no—
620SD16×C59—22no—
621SD16×C59—22no—
622SD16×C59—41no—
623SD16×C59—41no—
624D8×C59—22no—
625M16×C59—41no—
626C2×C8×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×C59C2411yescharacteristic
635C4⋊C4×C59C2411yescharacteristic
636C22⋊C4×C59—21no—
637C22⋊C4×C59—21no—
638C22⋊C4×C59—21no—
639C22⋊C4×C59—21no—
640C22⋊Dic59—21no—
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59—21no—
646C22⋊Dic59C2×D411yescharacteristic
647C22⋊Dic59C2×D411yescharacteristic
648C22⋊Dic59C2×D411yescharacteristic
649C22⋊Dic59C2×D411yescharacteristic
650#11745671—22no—
651#11745671—22no—
652#11745671—41no—
653#11745671—41no—
654#11745671—41no—
655#11745671—41no—
656#11745671—41no—
657#11745671—41no—
658#11745669—22no—
659#11745669—22no—
660#11745669—41no—
661#11745669—41no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4C2×D411yescharacteristic
691(C2×D59)⋊C4C2×D411yescharacteristic
692(C2×D59)⋊C4C2×D411yescharacteristic
693(C2×D59)⋊C4C2×D411yescharacteristic
694C4⋊Dic59—21no—
695C4⋊Dic59—21no—
696C4⋊Dic59—21no—
697C4⋊Dic59—21no—
698C4⋊Dic59C2411yescharacteristic
699C4⋊Dic59C2411yescharacteristic
700C4⋊Dic59C2411yescharacteristic
701C4⋊Dic59C2411yescharacteristic
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4C2×D411yescharacteristic
711Dic59⋊C4C2×D411yescharacteristic
712Dic59⋊C4C2×D411yescharacteristic
713Dic59⋊C4C2×D411yescharacteristic
714C4×Dic59—21no—
715C4×Dic59—21no—
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59C2×D411yescharacteristic
721C4×Dic59C2×D411yescharacteristic
722C4×Dic59C2411yescharacteristic
723C4×Dic59C2411yescharacteristic
724#11745664—41no—
725C2×C59⋊C8—41no—
726C2×C59⋊C8C2411yescharacteristic
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729C2×C59⋊C8C2411yescharacteristic
730D472—41no—
731D472—41no—
732D472—41no—
733D472—41no—
734#11745659—41no—
735#11745659—41no—
736C8×D59—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59—21no—
740C23×C59C22×D411yescharacteristic
741C23×C59C22×D411yescharacteristic
742C23×C59C22×D411yescharacteristic
743C22×D59—21no—
744C22×D59—21no—
745C22×D59—21no—
746C22×D59—21no—
747C22×D59—42no—
748C22×D59—42no—
749C22×D59—42no—
750C22×D59—81no—
751C22×D59—81no—
752C22×D59—81no—
753C22×D59—81no—
754C22×D59—81no—
755C22×D59—81no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59—81no—
761C22×D59—81no—
762C22×D59C22×D411yescharacteristic
763C22×D59C22×D411yescharacteristic
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—21no—
767Q8×C59—21no—
768Q8×C59—21no—
769Q8×C59—21no—
770Q8×C59—21no—
771Q8×C59—41no—
772Q8×C59—42no—
773Q8×C59—42no—
774Q8×C59—42no—
775Q8×C59H(5,𝔽2)12yes—
776D4×C59—24no—
777D4×C59—21no—
778D4×C59—21no—
779D4×C59—21no—
780D4×C59—41no—
781D4×C59—41no—
782D4×C59—41no—
783D4×C59—42no—
784D4×C59—42no—
785D4×C59—81no—
786D4×C59—81no—
787D4×C59—81no—
788D4×C59H(5,𝔽2)12yes—
789C2×C4×C59—24no—
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—21no—
797C2×C4×C59—21no—
798C2×C4×C59—21no—
799C2×C4×C59—21no—
800C2×C4×C59—21no—
801C2×C4×C59—21no—
802C2×C4×C59—42no—
803C2×C4×C59—42no—
804C2×C4×C59—42no—
805C2×C4×C59—42no—
806C2×C4×C59—42no—
807C2×C4×C59—81no—
808C2×C4×C59—81no—
809C2×C4×C59C22×D411yescharacteristic
810C2×C4×C59C22×D411yescharacteristic
811C2×C4×C59C22×D411yescharacteristic
812C2×C4×C59C2511yescharacteristic
813C22⋊D59—41no—
814C22⋊D59—41no—
815C22⋊D59—41no—
816C22⋊D59—41no—
817C22⋊D59—41no—
818C22⋊D59—41no—
819C22⋊D59—42no—
820C22⋊D59—42no—
821C22⋊D59—42no—
822C22⋊D59—81no—
823C22⋊D59—81no—
824C22⋊D59—81no—
825C22⋊D59—81no—
826C22⋊D59—81no—
827C22⋊D59—81no—
828C22⋊D59—81no—
829C22⋊D59—81no—
830C22⋊D59—81no—
831C22⋊D59—81no—
832C22⋊D59—81no—
833C2×Dic59—21no—
834C2×Dic59—21no—
835C2×Dic59—21no—
836C2×Dic59—21no—
837C2×Dic59—41no—
838C2×Dic59—41no—
839C2×Dic59—81no—
840C2×Dic59—81no—
841C2×Dic59—81no—
842C2×Dic59C22×D411yescharacteristic
843C2×Dic59C22×D411yescharacteristic
844C2×Dic59C22×D411yescharacteristic
845C2×Dic59C22×D411yescharacteristic
846C2×Dic59C22×D411yescharacteristic
847C2×Dic59C22×D411yescharacteristic
848D236—21no—
849D236—21no—
850D236—21no—
851D236—21no—
852D236—21no—
853D236—21no—
854D236—21no—
855D236—21no—
856D236—41no—
857D236—42no—
858D236—42no—
859D236—42no—
860D236—81no—
861D236—81no—
862D236—81no—
863D236—81no—
864C4×D59—21no—
865C4×D59—21no—
866C4×D59—21no—
867C4×D59—21no—
868C4×D59—42no—
869C4×D59—42no—
870C4×D59—42no—
871C4×D59—81no—
872C4×D59—81no—
873C4×D59—81no—
874Dic118—41no—
875Dic118—42no—
876C8×C59—21no—
877C8×C59—21no—
878C8×C59—21no—
879C8×C59—21no—
880C59⋊C8—21no—
881C59⋊C8—21no—
882C59⋊C8—21no—
883C59⋊C8—21no—
884#61690—591nomaximal, Sylow
885C22×C59—21no—
886C22×C59—21no—
887C22×C59—21no—
888C22×C59—21no—
889C22×C59—21no—
890C22×C59—21no—
891C22×C59—21no—
892C22×C59—22no—
893C22×C59—21no—
894C22×C59—21no—
895C22×C59—41no—
896C22×C59—41no—
897C22×C59—41no—
898C22×C59—41no—
899C22×C59—41no—
900C22×C59C23×D411yescharacteristic
901C2×D59—21no—
902C2×D59—21no—
903C2×D59—21no—
904C2×D59—21no—
905C2×D59—21no—
906C2×D59—21no—
907C2×D59—41no—
908C2×D59—41no—
909C2×D59—41no—
910C2×D59—41no—
911C2×D59—41no—
912C2×D59—41no—
913C2×D59—41no—
914C2×D59—41no—
915C2×D59—41no—
916C2×D59—41no—
917C2×D59—41no—
918C2×D59—41no—
919C2×D59—162no—
920C2×D59—162no—
921C2×D59—162no—
922C2×D59—162no—
923C2×D59—162no—
924C4×C59—21no—
925C4×C59—22no—
926C4×C59—21no—
927C4×C59—21no—
928C4×C59—41no—
929C4×C59—41no—
930C4×C59—41no—
931C4×C59—41no—
932C4×C59—41no—
933C4×C59C2×H(5,𝔽2)11yescharacteristic
934C4×C59C2×H(5,𝔽2)11yescharacteristic
935Dic59—21no—
936Dic59—21no—
937Dic59—21no—
938Dic59—21no—
939Dic59—21no—
940Dic59—21no—
941Dic59—41no—
942Dic59—41no—
943Dic59—41no—
944Dic59—41no—
945#3546—591no—
946#3500—591no—
947#3326—591no—
948#3322—591no—
949#3313—591no—
950#3311—591no—
951#3308—591no—
952#3306—591no—
953#3301—591no—
954#3297—591no—
955#3282—591no—
956#3280—591no—
957#3275—591no—
958#3273—591no—
959#3271—591no—
960#3268—591no—
961#3265—591no—
962#3264—591no—
963#3213—591no—
964#3211—591no—
965#3201—591no—
966#3200—591no—
967#3199—591no—
968#3198—591no—
969#3111—591no—
970#3106—591no—
971#3013D5911yescharacteristic, complemented
972#3012—591no—
973#3010—591no—
974#3008—591no—
975#2981—591no—
976C2×C59—41no—
977C2×C59—41no—
978C2×C59—42no—
979C2×C59—41no—
980C2×C59—81no—
981C2×C59#348411yescharacteristic
982C2×C59#358411yescharacteristic
983C2×C59#358511yescharacteristic
984D59—41no—
985D59—41no—
986D59—81no—
987D59—81no—
988D59—81no—
989D59—81no—
990C2×2−1+4C2×D5911yescharacteristic, complemented
991C2×H(5,𝔽2)—591no—
992C2×#137C2×D5911yescharacteristic, complemented
993C2×AGL(1,ℤ/8)—591no—
994C2×AGL(1,ℤ/8)—591no—
995C2×AGL(1,ℤ/8)—591no—
996C2×#135—591no—
997C2×#135C2×D5911yescharacteristic, complemented
998C22×SD16—591no—
999C22×D8—591no—
1000#560—1181no—
1001#560—1181no—
1002#556—591no—
1003#553—591no—
1004#553—591no—
1005#550—591no—
1006#550—1181no—
1007#548—591no—
1008#548—591no—
1009#548—591no—
1010#548—591no—
1011#547—591no—
1012#546—591no—
1013#546—591no—
1014#546—591no—
1015#546—591no—
1016#546—591no—
1017#546—591no—
1018#546—1181no—
1019#546—1181no—
1020#546—1181no—
1021#546—1181no—
1022#546—1181no—
1023D42—591no—
1024#542—1181no—
1025#538—1181no—
1026#538—1181no—
1027#537—591no—
1028#537C2×D5911yescharacteristic, complemented
1029#536—591no—
1030#536—1181no—
1031#535—591no—
1032#535—591no—
1033#535—591no—
1034#535—1181no—
1035#535—1181no—
1036#532—591no—
1037#532—591no—
1038#532—1181no—
1039#529—591no—
1040C2×#124—591no—
1041C2×#124—1181no—
1042C4×#41—591no—
1043#496—591no—
1044#496—591no—
1045#495—591no—
1046#495—591no—
1047#489—591no—
1048#489—591no—
1049#488—591no—
1050#488—591no—
1051#485—591no—
1052#485—591no—
1053#485—591no—
1054#484—591no—
1055#483—591no—
1056#482—591no—
1057#482—591no—
1058#482—591no—
1059#482—591no—
1060#482—591no—
1061#481—591no—
1062#480—591no—
1063#479—591no—
1064#478—591no—
1065#477—591no—
1066#476—591no—
1067#470—591no—
1068#469—591no—
1069#469—591no—
1070#469—591no—
1071#468—591no—
1072#468—591no—
1073#468—591no—
1074#468—591no—
1075#467—591no—
1076#466—591no—
1077#466—591no—
1078#466—591no—
1079#465—591no—
1080#465—591no—
1081#465—591no—
1082#465—591no—
1083#464—591no—
1084#464—591no—
1085#464—591no—
1086#463—591no—
1087#463—591no—
1088#463—591no—
1089#463—591no—
1090#463—591no—
1091#463—591no—
1092#463—591no—
1093#460—591no—
1094#459—591no—
1095#452—591no—
1096#452—591no—
1097#452—591no—
1098#452C2×D5911yescharacteristic, complemented
1099#452C2×D5911yescharacteristic, complemented
1100#451C2×D5911yescharacteristic, complemented
1101#451C2×D5911yescharacteristic, complemented
1102#450—591no—
1103#450—591no—
1104#450—591no—
1105#450—591no—
1106#449—591no—
1107#449—591no—
1108#449—591no—
1109#449—591no—
1110#449—591no—
1111#449—591no—
1112#449—591no—
1113#449—591no—
1114#449—591no—
1115#449C2×D5911yescharacteristic, complemented
1116#449C2×D5911yescharacteristic, complemented
1117#448—591no—
1118#448—591no—
1119#448—591no—
1120#448—591no—
1121#448C2×D5911yescharacteristic, complemented
1122#448C2×D5911yescharacteristic, complemented
1123#447—591no—
1124#447—591no—
1125#447—591no—
1126#447—591no—
1127#447—591no—
1128#447—591no—
1129#447—591no—
1130#447—591no—
1131#442—591no—
1132#441—591no—
1133#440—591no—
1134#440—591no—
1135C4×SD16—591no—
1136C4×SD16—591no—
1137C4×D8—591no—
1138C4×D8—591no—
1139#436—591no—
1140#436—591no—
1141#435—591no—
1142#435—591no—
1143#435—591no—
1144#435—591no—
1145C8×D4—591no—
1146C8×D4—591no—
1147#432—591no—
1148#431—591no—
1149#419—591no—
1150#418—591no—
1151#417—591no—
1152#417C2×D5911yescharacteristic, complemented
1153#416—591no—
1154#416—591no—
1155C2×#103C2×D5911yescharacteristic, complemented
1156C2×#102—591no—
1157#408—591no—
1158#408—591no—
1159#408—591no—
1160#408C2×D5911yescharacteristic, complemented
1161C59#6169011yescharacteristic, complemented, Sylow
11622−1+4—42no—
11632−1+4—42no—
1164H(5,𝔽2)—2362no—
1165H(5,𝔽2)—2362no—
1166C2×#41—21no—
1167C2×#41—21no—
1168C2×#41—21no—
1169C2×#41—591no—
1170C2×#41—591no—
1171C2×#41—591no—
1172C2×#41—591no—
1173C2×#41—1181no—
1174C2×#41—1181no—
1175C2×#41—1181no—
1176C2×#41C22×D5911yescharacteristic
1177C2×#41C22×D5911yescharacteristic
1178C2×#41C22×D5911yescharacteristic
1179C2×#41C22×D5911yescharacteristic
1180C2×#41C22×D5911yescharacteristic
1181C22×Q8—21no—
1182C22×Q8C22×D5911yescharacteristic
1183C22×Q8C22×D5911yescharacteristic
1184C22×Q8C22×D5911yescharacteristic
1185C22×D4—591no—
1186C22×D4—591no—
1187C22×D4—591no—
1188C22×D4—591no—
1189C22×D4—591no—
1190C22×D4—1181no—
1191C22×D4—1181no—
1192C22×D4—1181no—
1193C22×D4—1181no—
1194#137—42no—
1195AGL(1,ℤ/8)—2362no—
1196AGL(1,ℤ/8)—2362no—
1197AGL(1,ℤ/8)—2362no—
1198#135—42no—
1199#135—2362no—
1200C2×Q16C22×D5911yescharacteristic
1201C2×Q16C22×D5911yescharacteristic
1202C2×Q16C22×D5911yescharacteristic
1203C2×SD16—591no—
1204C2×SD16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16—591no—
1209C2×SD16—591no—
1210C2×SD16—591no—
1211C2×SD16—2362no—
1212C2×SD16C22×D5911yescharacteristic
1213C2×SD16C22×D5911yescharacteristic
1214C2×SD16C22×D5911yescharacteristic
1215C2×SD16C22×D5911yescharacteristic
1216C2×D8—591no—
1217C2×D8—591no—
1218C2×D8—591no—
1219C2×D8—591no—
1220C2×D8—591no—
1221C2×D8—591no—
1222C2×D8—591no—
1223C2×D8—591no—
1224C2×D8—2362no—
1225C2×D8C22×D5911yescharacteristic
1226C2×M16—591no—
1227C2×M16—591no—
1228C2×M16—591no—
1229C2×M16C22×D5911yescharacteristic
1230C22×C8—591no—
1231C22×C8—591no—
1232C22×C8—591no—
1233C22×C8C22×D5911yescharacteristic
1234C4⋊Q8—591no—
1235C4⋊Q8—591no—
1236C4⋊Q8—1181no—
1237#127—591no—
1238#127—591no—
1239#127—1181no—
1240#127—1181no—
1241#127—1181no—
1242#127—1181no—
1243#126—1181no—
1244#126—1181no—
1245#126—1181no—
1246#126—1181no—
1247#126—1181no—
1248#125—591no—
1249#124—591no—
1250#124—591no—
1251#124—591no—
1252#124—591no—
1253#124—591no—
1254#124—591no—
1255#124—591no—
1256#124—1181no—
1257#124—1181no—
1258#124—1181no—
1259#124—1181no—
1260#124—1181no—
1261#124—1181no—
1262#124—1181no—
1263#124—1181no—
1264#124—1181no—
1265#124—1181no—
1266#124—1181no—
1267#124—1181no—
1268#123—1181no—
1269#123—1181no—
1270#123—1181no—
1271#123—1181no—
1272#123—1181no—
1273#123—1181no—
1274#123—1181no—
1275#123—1181no—
1276#123—1181no—
1277#123—1181no—
1278#123—1181no—
1279#123—1181no—
1280#123—1181no—
1281C22⋊Q8—21no—
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⋊Q8C22×D5911yescharacteristic
1294C22⋊Q8C22×D5911yescharacteristic
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—591no—
1299#121—591no—
1300#121—591no—
1301#121—591no—
1302#121—591no—
1303#121—591no—
1304#121—591no—
1305#121—591no—
1306#121—591no—
1307#121—591no—
1308#121—591no—
1309#121—591no—
1310#121—591no—
1311#121—591no—
1312#121—591no—
1313#121—1181no—
1314#121—1181no—
1315#121—1181no—
1316#121—1181no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121—1181no—
1329#121—1181no—
1330#121—1181no—
1331#121—1181no—
1332#121C22×D5911yescharacteristic
1333#121C22×D5911yescharacteristic
1334#120—1181no—
1335#120—1181no—
1336#120—1181no—
1337#120—1181no—
1338#120—1181no—
1339#120—1181no—
1340#120—1181no—
1341#120—1181no—
1342#120—1181no—
1343#120—1181no—
1344#120—1181no—
1345#120—1181no—
1346#120—1181no—
1347#120—1181no—
1348C4×Q8—591no—
1349C4×Q8—591no—
1350C4×Q8—591no—
1351C4×Q8—1181no—
1352C4×D4—591no—
1353C4×D4—591no—
1354C4×D4—591no—
1355C4×D4—591no—
1356C4×D4—591no—
1357C4×D4—591no—
1358C4×D4—591no—
1359C4×D4—591no—
1360C4×D4—591no—
1361C4×D4—1181no—
1362C4×D4—1181no—
1363C4×D4—1181no—
1364C4×D4—1181no—
1365C4×D4—1181no—
1366C4×D4—1181no—
1367C4×D4—1181no—
1368C4×D4—1181no—
1369C4×D4—1181no—
1370C4×D4—1181no—
1371C4×D4—1181no—
1372#117—591no—
1373#117—591no—
1374#117—591no—
1375#117—1181no—
1376#117—1181no—
1377C2×C4⋊C4—591no—
1378C2×C4⋊C4C22×D5911yescharacteristic
1379C2×C22⋊C4—1181no—
1380C2×C22⋊C4—1181no—
1381C2×C22⋊C4—1181no—
1382C2×C22⋊C4—1181no—
1383C2×C22⋊C4—1181no—
1384C2×C22⋊C4—1181no—
1385C2×C22⋊C4—1181no—
1386C2×C22⋊C4—1181no—
1387C2×C42—591no—
1388C2×C42—1181no—
1389#107—591no—
1390#107—591no—
1391#107—591no—
1392#107—591no—
1393#106—591no—
1394#106—591no—
1395#106—591no—
1396#106—591no—
1397C4⋊C8—591no—
1398C4⋊C8—591no—
1399C4⋊C8—591no—
1400C4⋊C8—591no—
1401#103—591no—
1402#103—591no—
1403#103—591no—
1404#103—591no—
1405#103—591no—
1406#103—591no—
1407#103—591no—
1408#103—591no—
1409#103C22×D5911yescharacteristic
1410#103C22×D5911yescharacteristic
1411#103C22×D5911yescharacteristic
1412#103C22×D5911yescharacteristic
1413#103C22×D5911yescharacteristic
1414#103C22×D5911yescharacteristic
1415#102—591no—
1416#102—591no—
1417#102—591no—
1418#102—591no—
1419#102—591no—
1420#102—591no—
1421#102—591no—
1422#102—591no—
1423#102—591no—
1424#102—591no—
1425#102—591no—
1426#102—591no—
1427#102—591no—
1428#102—591no—
1429#102—591no—
1430#102—591no—
1431#102C22×D5911yescharacteristic
1432#102C22×D5911yescharacteristic
1433C22⋊C8—591no—
1434C22⋊C8—591no—
1435C22⋊C8—591no—
1436C22⋊C8—591no—
1437C22⋊C8—591no—
1438C22⋊C8—591no—
1439C22⋊C8—591no—
1440C22⋊C8—591no—
1441C22⋊C8C22×D5911yescharacteristic
1442C22⋊C8C22×D5911yescharacteristic
1443C22⋊C8C22×D5911yescharacteristic
1444C22⋊C8C22×D5911yescharacteristic
1445#97—591no—
1446#97—591no—
1447C4×C8—591no—
1448C4×C8—591no—
1449C24—1181no—
1450C24—1181no—
1451C24—1181no—
1452C24—1181no—
1453C24—1181no—
1454#41—22no—
1455#41—22no—
1456#41—22no—
1457#41—22no—
1458#41—41no—
1459#41—41no—
1460#41—41no—
1461#41—41no—
1462#41—44no—
1463#41—41no—
1464#41—41no—
1465#41—44no—
1466#41—44no—
1467#41—1182no—
1468#41—1182no—
1469#41—4722no—
1470#41—4722no—
1471#41—2361no—
1472#41—2361no—
1473#41—2364no—
1474#41—2361no—
1475#41—2361no—
1476#41—2361no—
1477#41—2361no—
1478C2×Q8—21no—
1479C2×Q8—21no—
1480C2×Q8—21no—
1481C2×Q8—22no—
1482C2×Q8—22no—
1483C2×Q8—41no—
1484C2×Q8—41no—
1485C2×Q8—41no—
1486C2×Q8—41no—
1487C2×Q8—44no—
1488C2×Q8—591no—
1489C2×Q8—1181no—
1490C2×Q8D4×D5911yescharacteristic
1491C2×Q8C23×D5911yescharacteristic
1492C2×Q8C23×D5911yescharacteristic
1493C2×Q8C23×D5911yescharacteristic
1494C2×Q8C23×D5911yescharacteristic
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—591no—
1502C2×D4—591no—
1503C2×D4—591no—
1504C2×D4—591no—
1505C2×D4—591no—
1506C2×D4—591no—
1507C2×D4—591no—
1508C2×D4—591no—
1509C2×D4—591no—
1510C2×D4—591no—
1511C2×D4—591no—
1512C2×D4—1181no—
1513C2×D4—1181no—
1514C2×D4—1181no—
1515C2×D4—1181no—
1516C2×D4—1181no—
1517C2×D4—1181no—
1518C2×D4—1181no—
1519C2×D4—1181no—
1520C2×D4—1181no—
1521C2×D4—1181no—
1522C2×D4—1182no—
1523C2×D4—1182no—
1524C2×D4—1181no—
1525C2×D4—1181no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—4722no—
1536C2×D4—2361no—
1537C2×D4—2361no—
1538C2×D4—2361no—
1539C2×D4—2361no—
1540C2×D4—2364no—
1541C2×D4—2361no—
1542C2×D4—2361no—
1543C2×D4—2361no—
1544C2×D4—2361no—
1545C2×D4—2364no—
1546C2×D4—2364no—
1547C2×D4D4×D5911yescharacteristic
1548C2×D4D4×D5911yescharacteristic
1549C2×D4D4×D5911yescharacteristic
1550C2×D4C23×D5911yescharacteristic
1551C2×D4C23×D5911yescharacteristic
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—1181no—
1565C22×C4—1181no—
1566C22×C4—1181no—
1567C22×C4—1181no—
1568C22×C4—1181no—
1569C22×C4—1181no—
1570C22×C4—1181no—
1571C22×C4—1181no—
1572C22×C4—1181no—
1573C22×C4C23×D5911yescharacteristic
1574C22×C4C23×D5911yescharacteristic
1575C22×C4C23×D5911yescharacteristic
1576Q16—22no—
1577Q16—41no—
1578Q16—41no—
1579SD16—22no—
1580SD16—22no—
1581SD16—41no—
1582SD16—41no—
1583SD16—1182no—
1584SD16—1182no—
1585SD16—2361no—
1586SD16—2361no—
1587SD16—2361no—
1588SD16—2361no—
1589SD16—2361no—
1590SD16—2361no—
1591D8—22no—
1592D8—1182no—
1593D8—1182no—
1594D8—2361no—
1595D8—2361no—
1596D8—2361no—
1597D8—2361no—
1598D8—2361no—
1599D8—2361no—
1600M16—41no—
1601M16—2361no—
1602M16—2361no—
1603M16—2361no—
1604C2×C8—41no—
1605C2×C8—591no—
1606C2×C8—591no—
1607C2×C8—591no—
1608C2×C8—591no—
1609C2×C8—2361no—
1610C2×C8—2361no—
1611C2×C8—2361no—
1612C2×C8C23×D5911yescharacteristic
1613C2×C8C23×D5911yescharacteristic
1614C2×C8C23×D5911yescharacteristic
1615C2×C8C23×D5911yescharacteristic
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—591no—
1620C4⋊C4—591no—
1621C4⋊C4—591no—
1622C4⋊C4—591no—
1623C4⋊C4—591no—
1624C4⋊C4—591no—
1625C4⋊C4—591no—
1626C4⋊C4—591no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4—1181no—
1630C4⋊C4—1181no—
1631C4⋊C4—1181no—
1632C4⋊C4—1181no—
1633C4⋊C4—1181no—
1634C4⋊C4—1181no—
1635C4⋊C4—1181no—
1636C4⋊C4—1181no—
1637C4⋊C4—1181no—
1638C4⋊C4—1181no—
1639C4⋊C4C23×D5911yescharacteristic
1640C4⋊C4C23×D5911yescharacteristic
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—591no—
1646C22⋊C4—591no—
1647C22⋊C4—591no—
1648C22⋊C4—591no—
1649C22⋊C4—591no—
1650C22⋊C4—591no—
1651C22⋊C4—591no—
1652C22⋊C4—591no—
1653C22⋊C4—1181no—
1654C22⋊C4—1181no—
1655C22⋊C4—1181no—
1656C22⋊C4—1181no—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4—1181no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4—1181no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C22⋊C4—1181no—
1679C22⋊C4—1181no—
1680C22⋊C4—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4—1181no—
1683C22⋊C4—1181no—
1684C22⋊C4—1181no—
1685C22⋊C4—1181no—
1686C22⋊C4—1181no—
1687C42—591no—
1688C42—591no—
1689C42—591no—
1690C42—591no—
1691C42—1181no—
1692C42—1181no—
1693C42—1181no—
1694C42—1181no—
1695C42—1181no—
1696C42—1181no—
1697C23—21no—
1698C23—21no—
1699C23—591no—
1700C23—591no—
1701C23—1181no—
1702C23—1181no—
1703C23—1181no—
1704C23—1181no—
1705C23—4721no—
1706C23—4721no—
1707C23—4721no—
1708C23—4721no—
1709C23—4721no—
1710C23—4721no—
1711C23—4721no—
1712C23—4721no—
1713C23—4721no—
1714C23—4721no—
1715C23—4721no—
1716C23—4721no—
1717C23—2362no—
1718C23—2362no—
1719C23—2362no—
1720C23C2×D4×D5911yescharacteristic
1721C23C2×D4×D5911yescharacteristic
1722C23C2×D4×D5911yescharacteristic
1723Q8—21no—
1724Q8—21no—
1725Q8—21no—
1726Q8—21no—
1727Q8—21no—
1728Q8—21no—
1729Q8—21no—
1730Q8—41no—
1731Q8—42no—
1732Q8—42no—
1733Q8—42no—
1734Q8—2361no—
1735Q8—2362no—
1736Q8#1427377212yes—
1737D4—24no—
1738D4—21no—
1739D4—21no—
1740D4—21no—
1741D4—41no—
1742D4—41no—
1743D4—41no—
1744D4—42no—
1745D4—42no—
1746D4—81no—
1747D4—81no—
1748D4—81no—
1749D4—1181no—
1750D4—1181no—
1751D4—1181no—
1752D4—1181no—
1753D4—1181no—
1754D4—1181no—
1755D4—1181no—
1756D4—1181no—
1757D4—4721no—
1758D4—4721no—
1759D4—4721no—
1760D4—4721no—
1761D4—4721no—
1762D4—4721no—
1763D4—4721no—
1764D4—4721no—
1765D4—4721no—
1766D4—4721no—
1767D4—4721no—
1768D4—4721no—
1769D4—4721no—
1770D4—4721no—
1771D4—4721no—
1772D4—2361no—
1773D4—2362no—
1774D4—2362no—
1775D4—2362no—
1776D4—2361no—
1777D4—2361no—
1778D4—2361no—
1779D4—2361no—
1780D4—2361no—
1781D4—2361no—
1782D4—2362no—
1783D4—2362no—
1784D4—2362no—
1785D4#1427377212yes—
1786C2×C4—24no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—42no—
1800C2×C4—42no—
1801C2×C4—42no—
1802C2×C4—42no—
1803C2×C4—42no—
1804C2×C4—81no—
1805C2×C4—81no—
1806C2×C4—591no—
1807C2×C4—591no—
1808C2×C4—591no—
1809C2×C4—591no—
1810C2×C4—591no—
1811C2×C4—591no—
1812C2×C4—1181no—
1813C2×C4—1181no—
1814C2×C4—1181no—
1815C2×C4—1181no—
1816C2×C4—1181no—
1817C2×C4—1181no—
1818C2×C4—1181no—
1819C2×C4—1181no—
1820C2×C4—4721no—
1821C2×C4—4721no—
1822C2×C4—4721no—
1823C2×C4—4721no—
1824C2×C4—4721no—
1825C2×C4—4721no—
1826C2×C4—2362no—
1827C2×C4—2362no—
1828C2×C4—2362no—
1829C2×C4—2361no—
1830C2×C4—2361no—
1831C2×C4C2×D4×D5911yescharacteristic
1832C2×C4C2×D4×D5911yescharacteristic
1833C2×C4C2×D4×D5911yescharacteristic
1834C2×C4C24×D5911yescharacteristic
1835C8—21no—
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—1181no—
1840C8—1181no—
1841C8—1181no—
1842C8—1181no—
1843C22—21no—
1844C22—22no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—1181no—
1859C22—1181no—
1860C22—1181no—
1861C22—1181no—
1862C22—1181no—
1863C22—1181no—
1864C22—9442no—
1865C22—9442no—
1866C22—9442no—
1867C22—9442no—
1868C22—9442no—
1869C22—2361no—
1870C22—2361no—
1871C22—2361no—
1872C22—2361no—
1873C22—2361no—
1874C22—2361no—
1875C22—2361no—
1876C22—2361no—
1877C22—2361no—
1878C22—2361no—
1879C22—2361no—
1880C22—2361no—
1881C22C22×D4×D5911yescharacteristic
1882C4—21no—
1883C4—22no—
1884C4—21no—
1885C4—21no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—1181no—
1892C4—1181no—
1893C4—1181no—
1894C4—1181no—
1895C4—1181no—
1896C4—1181no—
1897C4—2361no—
1898C4—2361no—
1899C4—2361no—
1900C4—2361no—
1901C4C2×#1427377211yescharacteristic
1902C4C2×#1427377211yescharacteristic
1903C2—41no—
1904C2—41no—
1905C2—41no—
1906C2—42no—
1907C2—81no—
1908C2—4721no—
1909C2—4721no—
1910C2—4721no—
1911C2—4721no—
1912C2—2361no—
1913C2—2361no—
1914C2#2143772511yescharacteristic
1915C2#2143886611yescharacteristic
1916C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3013C2
socleC22×C59C23×D4
hypercenter#3013D59
hypocenterC59#61690
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3013

Complements

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

NH ≅ G/Ntype
1. #21438458C2semidirect
2. #21437890C2semidirect
3. #21436353C2semidirect
4. #21436298C2semidirect
5. #21436155C2semidirect
6. #21436136C2semidirect
7. #21436083C2semidirect
8. #21436058C2semidirect
9. #21435994C2semidirect
10. #21435939C2semidirect
11. #21435796C2semidirect
12. #21435775C2semidirect
13. #21435721C2semidirect
14. #21435700C2semidirect
15. #21435675C2semidirect
16. #21435636C2semidirect
17. #21435584C2semidirect
18. #21435579C2semidirect
19. #21435082C2semidirect
20. #21435066C2semidirect
21. #21434982C2semidirect
22. #21434966C2semidirect
23. #21434961C2semidirect
24. #21434942C2semidirect
25. #21434206C2semidirect
26. #21434149C2semidirect
27. #21433404C2semidirect
28. #21433382C2semidirect
29. #21433361C2semidirect
30. #21433169C2semidirect
31. C59×#3013C2semidirect
32. C2×#14273773C22semidirect
34. C2×#14273754C22semidirect
35. C2×#14273752C22semidirect
36. C2×#14273750C22semidirect
37. C22×#11745671C22semidirect
41. #16838123C22semidirect
42. #16838100C22semidirect
43. #16838099C22semidirect
44. #16838071C22semidirect
47. #16838063C22semidirect
48. #16838063C22semidirect
49. #16838063C22semidirect
50. #16838053C22semidirect
51. #16838043C22semidirect
58. #16838040C22semidirect
59. #16838040C22semidirect
60. #16838040C22semidirect
61. #16838040C22semidirect
62. #16838036C22semidirect
68. #16837976C22semidirect
72. #16837966C22semidirect
73. #16837966C22semidirect
76. #16837947C22semidirect
77. #16837938C22semidirect
79. C2×#14273716C22semidirect
80. #41×Dic59C22semidirect
81. #16837788C22semidirect
82. #16837788C22semidirect
83. #16837787C22semidirect
84. #16837787C22semidirect
85. #16837763C22semidirect
86. #16837763C22semidirect
87. #16837758C22semidirect
88. #16837758C22semidirect
89. #16837742C22semidirect
90. #16837741C22semidirect
91. #16837740C22semidirect
92. #16837736C22semidirect
93. #16837731C22semidirect
94. #16837727C22semidirect
95. #16837727C22semidirect
96. #16837727C22semidirect
97. #16837727C22semidirect
98. #16837723C22semidirect
99. #16837720C22semidirect
100. #16837715C22semidirect
101. #16837711C22semidirect
102. #16837704C22semidirect
103. #16837695C22semidirect
104. #16837690C22semidirect
105. #16837657C22semidirect
106. #16837655C22semidirect
107. #16837655C22semidirect
108. #16837653C22semidirect
109. #16837651C22semidirect
110. #16837651C22semidirect
111. #16837650C22semidirect
112. #16837645C22semidirect
113. #16837640C22semidirect
114. #16837638C22semidirect
115. #16837638C22semidirect
116. #16837636C22semidirect
117. #16837634C22semidirect
118. #16837634C22semidirect
119. #16837633C22semidirect
120. #16837628C22semidirect
121. #16837626C22semidirect
122. #16837626C22semidirect
123. #16837626C22semidirect
124. #16837620C22semidirect
125. #16837620C22semidirect
126. #16837620C22semidirect
127. #16837620C22semidirect
128. #16837619C22semidirect
129. #16837619C22semidirect
130. #16837619C22semidirect
131. #16837600C22semidirect
132. #16837595C22semidirect
133. #16837563C22semidirect
134. #16837563C22semidirect
135. #16837563C22semidirect
136. #16837552C22semidirect
137. #16837551C22semidirect
138. #16837551C22semidirect
139. #16837551C22semidirect
143. #16837547C22semidirect
144. #16837547C22semidirect
145. #16837547C22semidirect
146. #16837547C22semidirect
147. #16837547C22semidirect
148. #16837546C22semidirect
149. #16837541C22semidirect
150. #16837541C22semidirect
151. #16837541C22semidirect
152. #16837541C22semidirect
154. #16837538C22semidirect
155. #16837538C22semidirect
156. #16837538C22semidirect
159. #16837535C22semidirect
160. #16837534C22semidirect
161. #16837511C22semidirect
162. #16837509C22semidirect
163. #16837505C22semidirect
164. #16837503C22semidirect
165. SD16×Dic59C22semidirect
166. #16837487C22semidirect
167. D8×Dic59C22semidirect
168. #16837482C22semidirect
169. #16837478C22semidirect
170. #16837477C22semidirect
171. #16837476C22semidirect
172. #16837473C22semidirect
173. #16837471C22semidirect
174. #16837470C22semidirect
175. C8×C22⋊D59C22semidirect
176. (C22⋊D59)⋊C8C22semidirect
177. #16837456C22semidirect
178. #16837452C22semidirect
179. #16837411C22semidirect
180. #16837405C22semidirect
181. #16837402C22semidirect
182. #16837398C22semidirect
183. #16837397C22semidirect
184. #102×D59C22semidirect
185. #16837369C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
188. C2×2−1+4×C59C22semidirect
189. C2×#137×C59C22semidirect
190. C2×#135×C59C22semidirect
191. C59×#537C22semidirect
192. C59×#452C22semidirect
193. C59×#452C22semidirect
194. C59×#451C22semidirect
195. C59×#451C22semidirect
196. C59×#449C22semidirect
197. C59×#449C22semidirect
198. C59×#448C22semidirect
199. C59×#448C22semidirect
200. C59×#417C22semidirect
201. C2×#103×C59C22semidirect
202. C59×#408C22semidirect
971. #3013D59semidirect
990. C2×2−1+4C2×D59semidirect
992. C2×#137C2×D59semidirect
997. C2×#135C2×D59semidirect
1028. #537C2×D59semidirect
1098. #452C2×D59semidirect
1099. #452C2×D59semidirect
1100. #451C2×D59semidirect
1101. #451C2×D59semidirect
1115. #449C2×D59semidirect
1116. #449C2×D59semidirect
1121. #448C2×D59semidirect
1122. #448C2×D59semidirect
1152. #417C2×D59semidirect
1155. C2×#103C2×D59semidirect
1160. #408C2×D59semidirect
1161. C59#61690semidirect

Maximal subgroups

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

subgroupindex
#214384582
#214378902
#214363532
#214362982
#214361552
#214361362
#214360832
#214360582
#214359942
#214359392
#214357962
#214357752
#214357212
#214357002
#214356752
#214356362
#214355842
#214355792
#214350822
#214350662
#214349822
#214349662
#214349612
#214349422
#214342062
#214341492
#214334042
#214333822
#214333612
#214331692
C59×#30132
#6169059