Finite Group Databasebeta

← #29482239

Subgroups — #29482239

Order 15104.

1838 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438657C211yesmaximal, characteristic, complemented
2#21438135C211yesmaximal, characteristic, complemented
3#21437175C211yesmaximal, characteristic, complemented
4#21437170C211yesmaximal, characteristic, complemented
5#21436818C211yesmaximal, characteristic, complemented
6#21436809C211yesmaximal, characteristic, complemented
7#21436184C211yesmaximal, characteristic, complemented
8#21436178C211yesmaximal, characteristic, complemented
9#21436088C211yesmaximal, characteristic, complemented
10#21436083C211yesmaximal, characteristic, complemented
11#21435975C211yesmaximal, characteristic, complemented
12#21435968C211yesmaximal, characteristic, complemented
13#21435776C211yesmaximal, characteristic, complemented
14#21435775C211yesmaximal, characteristic, complemented
15#21435651C211yesmaximal, characteristic, complemented
16#21435645C211yesmaximal, characteristic, complemented
17#21435612C211yesmaximal, characteristic, complemented
18#21435600C211yesmaximal, characteristic, complemented
19#21435557C211yesmaximal, characteristic, complemented
20#21435555C211yesmaximal, characteristic, complemented
21#21435439C211yesmaximal, characteristic, complemented
22#21435212C211yesmaximal, characteristic, complemented
23#21435205C211yesmaximal, characteristic, complemented
24#21435097C211yesmaximal, characteristic, complemented
25#21434358C211yesmaximal, characteristic, complemented
26#21434355C211yesmaximal, characteristic, complemented
27#21434194C211yesmaximal, characteristic, complemented
28#21433641C211yesmaximal, characteristic, complemented
29#463×D59C211yesmaximal, characteristic, complemented
30#21433233C211yesmaximal, characteristic, complemented
31C59×#3046C211yesmaximal, characteristic, complemented
32C2×#14273756C2211yescharacteristic, complemented
33C2×#14273748C2211yescharacteristic
34C2×SD16×D59C2211yescharacteristic
35C2×D8×D59C2211yescharacteristic
36#16838153—21no—
37#16838149—21no—
38#16838126C2211yescharacteristic, complemented
39#16838124C2211yescharacteristic, complemented
40#16838121C2211yescharacteristic, complemented
41#16838112C2211yescharacteristic
42#16838107C2211yescharacteristic
43#16838085—21no—
44#16838081—21no—
45#16838080—21no—
46#16838079—21no—
47#16838076—21no—
48D4×Dic118C2211yescharacteristic, complemented
49#16838067C2211yescharacteristic
50Q8×C22⋊D59C2211yescharacteristic
51#16838063C2211yescharacteristic, complemented
52#16838061—21no—
53#16838059C2211yescharacteristic, complemented
54#16838053C2211yescharacteristic, complemented
55#16838051C2211yescharacteristic, complemented
56#16838047C2211yescharacteristic
57#16838045C2211yescharacteristic
58#16838040C2211yescharacteristic
59#16838040C2211yescharacteristic
60#16838027—21no—
61#16838024C2211yescharacteristic, complemented
62#16838023C2211yescharacteristic, complemented
63#16838023C2211yescharacteristic, complemented
64#16838022—21no—
65#16838021C2211yescharacteristic, complemented
66#16838020—21no—
67#16837999—21no—
68#16837994—21no—
69#16837988—21no—
70#16837977C2211yescharacteristic, complemented
71#16837957C2211yescharacteristic
72#16837956C2211yescharacteristic
73#16837930C2211yescharacteristic
74#124×D59C2211yescharacteristic
75#16837911—21no—
76C2×#14273705—21no—
77#16837881C2211yescharacteristic, complemented
78C4×D4×D59C2211yescharacteristic
79#16837795C2211yescharacteristic, complemented
80#16837795C2211yescharacteristic, complemented
81#16837794C2211yescharacteristic, complemented
82#16837793C2211yescharacteristic, complemented
83#16837787C2211yescharacteristic
84#16837784C2211yescharacteristic
85#16837763C2211yescharacteristic, complemented
86#16837763C2211yescharacteristic, complemented
87#16837761C2211yescharacteristic, complemented
88#16837760C2211yescharacteristic, complemented
89#16837752C2211yescharacteristic, complemented
90#16837751C2211yescharacteristic, complemented
91#16837737C2211yescharacteristic, complemented
92#16837736C2211yescharacteristic
93#16837736C2211yescharacteristic
94#16837736C2211yescharacteristic, complemented
95#16837715C2211yescharacteristic, complemented
96#16837714C2211yescharacteristic, complemented
97#16837698C2211yescharacteristic, complemented
98#16837698C2211yescharacteristic, complemented
99#16837697C2211yescharacteristic, complemented
100#16837695C2211yescharacteristic, complemented
101#16837695C2211yescharacteristic, complemented
102#16837695C2211yescharacteristic, complemented
103#16837683C2211yescharacteristic, complemented
104#16837683C2211yescharacteristic, complemented
105#16837682C2211yescharacteristic, complemented
106#16837680C2211yescharacteristic, complemented
107#16837651C2211yescharacteristic, complemented
108#16837648C2211yescharacteristic, complemented
109#16837648C2211yescharacteristic, complemented
110#16837645C2211yescharacteristic, complemented
111#16837643C2211yescharacteristic, complemented
112#16837642C2211yescharacteristic
113#16837642C2211yescharacteristic
114#16837640C2211yescharacteristic
115#16837640C2211yescharacteristic
116#16837640C2211yescharacteristic, complemented
117#16837638C2211yescharacteristic
118#16837637C2211yescharacteristic
119#16837627C2211yescharacteristic, complemented
120#16837626C2211yescharacteristic, complemented
121#16837625C2211yescharacteristic, complemented
122#16837625C2211yescharacteristic, complemented
123#16837624C2211yescharacteristic, complemented
124#16837621C2211yescharacteristic, complemented
125#16837620C2211yescharacteristic
126#16837619C2211yescharacteristic
127#16837619C2211yescharacteristic
128#16837619C2211yescharacteristic
129#16837618C2211yescharacteristic
130#16837618C2211yescharacteristic
131#16837617C2211yescharacteristic
132#16837616C2211yescharacteristic
133#16837615C2211yescharacteristic
134#16837614C2211yescharacteristic
135#16837611C2211yescharacteristic, complemented
136#16837610C2211yescharacteristic, complemented
137#16837610C2211yescharacteristic, complemented
138#16837609C2211yescharacteristic, complemented
139#16837605C2211yescharacteristic, complemented
140#16837604C2211yescharacteristic, complemented
141#16837564C2211yescharacteristic, complemented
142#16837564C2211yescharacteristic, complemented
143#16837563C2211yescharacteristic, complemented
144#16837561C2211yescharacteristic, complemented
145#16837559C2211yescharacteristic
146#16837558C2211yescharacteristic, complemented
147#16837556C2211yescharacteristic
148#16837556C2211yescharacteristic, complemented
149#16837554C2211yescharacteristic
150#16837551C2211yescharacteristic
151#16837551C2211yescharacteristic
152#16837551C2211yescharacteristic
153#16837550C2211yescharacteristic
154#16837547C2211yescharacteristic
155#16837547C2211yescharacteristic
156#16837544C2211yescharacteristic
157#16837542C2211yescharacteristic, complemented
158#16837541C2211yescharacteristic, complemented
159#16837531C2211yescharacteristic, complemented
160#16837529C2211yescharacteristic, complemented
161#16837505C2211yescharacteristic, complemented
162#16837505C2211yescharacteristic, complemented
163#16837503C2211yescharacteristic, complemented
164#16837503C2211yescharacteristic, complemented
165#16837503C2211yescharacteristic, complemented
166#16837502C2211yescharacteristic, complemented
167#16837500C2211yescharacteristic, complemented
168#16837499C2211yescharacteristic, complemented
169C4×#11745672C2211yescharacteristic, complemented
170#16837494C2211yescharacteristic, complemented
171D8×Dic59C2211yescharacteristic
172C4×#11745669C2211yescharacteristic
173#16837473C2211yescharacteristic, complemented
174#16837472C2211yescharacteristic
175#16837471C2211yescharacteristic
176#16837471C2211yescharacteristic, complemented
177#16837467C2211yescharacteristic
178C8×C22⋊D59C2211yescharacteristic
179#16837463C2211yescharacteristic, complemented
180#16837462C2211yescharacteristic, complemented
181#16837458C2211yescharacteristic
182#16837427C2211yescharacteristic, complemented
183C4⋊C8×D59C2211yescharacteristic
184#16837402C2211yescharacteristic, complemented
185#103×D59C2211yescharacteristic
186#103×D59C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic
188C2×#137×C59C2211yescharacteristic, complemented
189C2×#135×C59C2211yescharacteristic
190C59×#536C2211yescharacteristic, complemented
191C59×#520C2211yescharacteristic, complemented
192C59×#464C2211yescharacteristic, complemented
193C59×#464C2211yescharacteristic, complemented
194C59×#463C2211yescharacteristic
195C59×#463C2211yescharacteristic
196C59×#462C2211yescharacteristic, complemented
197C59×#462C2211yescharacteristic, complemented
198C59×#461C2211yescharacteristic, complemented
199C59×#461C2211yescharacteristic, complemented
200C59×#424C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C2×#103×C59C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745687C2311yescharacteristic
206C22×Dic118—21no—
207C2×Q8×D59C2311yescharacteristic
208C2×Q8×D59C2311yescharacteristic
209C2×D4×D59C2311yescharacteristic
210C2×D4×D59C2311yescharacteristic
211C22×C4×D59—21no—
212#14273756—42no—
213#14273748—42no—
214C2×Dic236C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745672C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745660C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227SD16×D59—42no—
228C2×D472C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231D8×D59—42no—
232C2×#11745659C2311yescharacteristic
233C2×C8×D59C2311yescharacteristic
234C2×C8×D59C2311yescharacteristic
235C2×C8×D59C2311yescharacteristic
236#14273727C2311yescharacteristic
237#14273727C2311yescharacteristic
238#14273726—21no—
239#14273726C2311yescharacteristic
240#14273726C2311yescharacteristic
241#14273725—21no—
242#14273725C2311yescharacteristic
243#14273725C2311yescharacteristic
244#14273722—21no—
245#14273722—21no—
246#14273722—21no—
247#14273722—21no—
248#14273722—21no—
249#14273722D411yescharacteristic
250#14273721—21no—
251#14273721—21no—
252#14273720—21no—
253#14273720—21no—
254#14273720—21no—
255#14273720D411yescharacteristic
256#14273719—21no—
257#14273718—21no—
258#14273717—21no—
259#14273717—21no—
260#14273717D411yescharacteristic
261#14273716—21no—
262#14273716C2311yescharacteristic
263#14273716C2311yescharacteristic
264#14273716C2311yescharacteristic
265#14273715—21no—
266#14273715C2311yescharacteristic
267#14273715C2311yescharacteristic
268#14273714—21no—
269#14273714C2311yescharacteristic
270#14273713—21no—
271#14273713—21no—
272#14273713—21no—
273#14273713—21no—
274#14273713—21no—
275#14273713D411yescharacteristic
276#14273712—21no—
277#14273712—21no—
278#14273712—21no—
279#14273712—21no—
280#14273712D411yescharacteristic
281#14273711—21no—
282#14273711—21no—
283#14273710—21no—
284#14273710—21no—
285#14273710—21no—
286#14273710—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709—21no—
290#14273709D411yescharacteristic
291#14273708—21no—
292#14273707—21no—
293#14273707—21no—
294#14273707C2311yescharacteristic
295#14273706—21no—
296#14273706—21no—
297#14273706—21no—
298#14273706—21no—
299#14273706C2311yescharacteristic
300#14273706C2311yescharacteristic
301#14273705—21no—
302#14273705—21no—
303#14273705—21no—
304#14273705—21no—
305#14273705—21no—
306#14273705—21no—
307#14273705—21no—
308#14273705—21no—
309#14273705—21no—
310#14273705—21no—
311#14273705—21no—
312#14273705—21no—
313#14273705—21no—
314#14273705D411yescharacteristic
315#14273704—21no—
316#14273704—21no—
317#14273704—21no—
318#14273704—21no—
319#14273703—21no—
320#14273703—21no—
321#14273703C2311yescharacteristic
322#14273703C2311yescharacteristic
323#14273703C2311yescharacteristic
324#14273703C2311yescharacteristic
325#14273703C2311yescharacteristic
326#14273702C2311yescharacteristic
327#14273701—21no—
328#14273701—21no—
329#14273701C2311yescharacteristic
330#14273701C2311yescharacteristic
331#14273700—21no—
332#14273700D411yescharacteristic
333#14273699—21no—
334#14273699—21no—
335#14273699—21no—
336#14273698—21no—
337#14273698C2311yescharacteristic
338#14273697—21no—
339#14273697—21no—
340#14273695—21no—
341#14273695—21no—
342Q8×Dic59C2311yescharacteristic
343Q8×Dic59C2311yescharacteristic
344Q8×Dic59C2311yescharacteristic
345C4×Dic118—21no—
346C4×Dic118C2311yescharacteristic
347C4×Dic118C2311yescharacteristic
348C4×Dic118C2311yescharacteristic
349#14273692—21no—
350#14273692C2311yescharacteristic
351C4×D236—21no—
352C4×D236C2311yescharacteristic
353C4×D236C2311yescharacteristic
354C4×D236C2311yescharacteristic
355D4×Dic59C2311yescharacteristic
356D4×Dic59C2311yescharacteristic
357D4×Dic59C2311yescharacteristic
358#14273689—21no—
359#14273689C2311yescharacteristic
360C4×C22⋊D59—21no—
361C4×C22⋊D59—21no—
362C4×C22⋊D59—21no—
363C4×C22⋊D59—21no—
364C4×C22⋊D59—21no—
365C4×C22⋊D59—21no—
366C4×C22⋊D59C2311yescharacteristic
367C4×C22⋊D59C2311yescharacteristic
368(C22⋊D59)⋊C4—21no—
369(C22⋊D59)⋊C4—21no—
370#14273685—21no—
371#14273685—21no—
372#14273684—21no—
373#14273684—21no—
374#14273684C2311yescharacteristic
375#14273683—21no—
376#14273683—21no—
377C2×Dic59⋊C4—21no—
378C2×Dic59⋊C4—21no—
379C4⋊C4×D59C2311yescharacteristic
380C4⋊C4×D59C2311yescharacteristic
381C2×(C2×D59)⋊C4—21no—
382C2×(C2×D59)⋊C4—21no—
383C2×(C2×D59)⋊C4—21no—
384C22⋊C4×D59—21no—
385C22⋊C4×D59—21no—
386C22⋊C4×D59—21no—
387C22⋊C4×D59—21no—
388C42×D59C2311yescharacteristic
389#14273661C2311yescharacteristic
390#14273661C2311yescharacteristic
391#14273661C2311yescharacteristic
392#14273661C2311yescharacteristic
393#14273660C2311yescharacteristic
394#14273660C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397C4⋊(C59⋊C8)C2311yescharacteristic
398C4⋊(C59⋊C8)C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427C22⋊(C59⋊C8)C2311yescharacteristic
428C22⋊(C59⋊C8)C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433#14273638C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C4×C59⋊C8C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59C2311yescharacteristic
440C2×#41×C59C2311yescharacteristic
441C22×Q8×C59C2311yescharacteristic
442#137×C59—42no—
443#135×C59—42no—
444C2×Q16×C59C2311yescharacteristic
445C2×Q16×C59C2311yescharacteristic
446C2×Q16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454C4⋊Q8×C59C2311yescharacteristic
455C4⋊Q8×C59C2311yescharacteristic
456#124×C59C2311yescharacteristic
457#124×C59C2311yescharacteristic
458#123×C59—21no—
459#123×C59—21no—
460C22⋊Q8×C59—21no—
461C22⋊Q8×C59—21no—
462C4×Q8×C59C2311yescharacteristic
463C4×Q8×C59C2311yescharacteristic
464C4×D4×C59—21no—
465C4×D4×C59—21no—
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468#117×C59—21no—
469#117×C59C2311yescharacteristic
470C2×C4⋊C4×C59—21no—
471C2×C4⋊C4×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475C4⋊C8×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486#41×C59—22no—
487#41×C59—41no—
488#41×C59—41no—
489#41×C59—41no—
490C2×Q8×C59—21no—
491C2×Q8×C59—41no—
492C2×Q8×C59—41no—
493C2×Q8×C59C2411yescharacteristic
494C2×Q8×C59C2411yescharacteristic
495C2×Q8×C59C2411yescharacteristic
496C2×Q8×C59C2411yescharacteristic
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59C2411yescharacteristic
500C2×D4×C59C2411yescharacteristic
501C22×C4×C59—21no—
502C22×C4×C59—21no—
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59C2411yescharacteristic
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59C2×D411yescharacteristic
515C2×C22⋊D59C2×D411yescharacteristic
516C22×Dic59—21no—
517C22×Dic59—21no—
518C22×Dic59—21no—
519C22×Dic59—21no—
520#11745689—41no—
521#11745689—41no—
522Q8×D59—41no—
523Q8×D59—41no—
524Q8×D59—41no—
525Q8×D59—41no—
526#11745687—22no—
527#11745687—41no—
528D4×D59—22no—
529D4×D59—41no—
530D4×D59—41no—
531D4×D59—41no—
532#11745685—82no—
533C2×D236—21no—
534C2×D236—21no—
535C2×D236C2×D411yescharacteristic
536C2×D236C2411yescharacteristic
537C2×D236C2411yescharacteristic
538C2×C4×D59—21no—
539C2×C4×D59—21no—
540C2×C4×D59—21no—
541C2×C4×D59—21no—
542C2×C4×D59—21no—
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—82no—
547C2×C4×D59C2×D411yescharacteristic
548C2×C4×D59C2×D411yescharacteristic
549C2×C4×D59C2411yescharacteristic
550C2×C4×D59C2411yescharacteristic
551C2×Dic118—21no—
552C2×Dic118—21no—
553C2×Dic118—21no—
554C2×Dic118—21no—
555C2×Dic118—21no—
556C2×Dic118—21no—
557C2×Dic118—82no—
558C2×Dic118C2×D411yescharacteristic
559C2×Dic118C2411yescharacteristic
560C2×Dic118C2411yescharacteristic
561Q16×C59—41no—
562Q16×C59—41no—
563Q16×C59—41no—
564SD16×C59—22no—
565SD16×C59—22no—
566SD16×C59—22no—
567SD16×C59—41no—
568D8×C59—22no—
569M16×C59—41no—
570C2×C8×C59—41no—
571C2×C8×C59C2411yescharacteristic
572C2×C8×C59C2411yescharacteristic
573C2×C8×C59C2411yescharacteristic
574C2×C8×C59C2411yescharacteristic
575C4⋊C4×C59—21no—
576C4⋊C4×C59—21no—
577C4⋊C4×C59—21no—
578C4⋊C4×C59—21no—
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59—21no—
582C4⋊C4×C59C2×D411yescharacteristic
583C4⋊C4×C59C2×D411yescharacteristic
584C4⋊C4×C59C2411yescharacteristic
585C4⋊C4×C59C2411yescharacteristic
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59C2×D411yescharacteristic
593C22⋊C4×C59C2×D411yescharacteristic
594C42×C59—21no—
595C42×C59—21no—
596C42×C59C2411yescharacteristic
597C42×C59C2411yescharacteristic
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59C2×D411yescharacteristic
607C22⋊Dic59C2×D411yescharacteristic
608#11745672—41no—
609#11745672—41no—
610#11745672—41no—
611#11745672—41no—
612#11745671—41no—
613#11745671—41no—
614#11745671—41no—
615#11745671—41no—
616#11745670—22no—
617#11745670—41no—
618#11745669—22no—
619#11745669—41no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4C2×D411yescharacteristic
643(C2×D59)⋊C4C2×D411yescharacteristic
644(C2×D59)⋊C4C2×D411yescharacteristic
645(C2×D59)⋊C4C2×D411yescharacteristic
646(C2×D59)⋊C4C2×D411yescharacteristic
647(C2×D59)⋊C4C2×D411yescharacteristic
648C4⋊Dic59—21no—
649C4⋊Dic59—21no—
650C4⋊Dic59—21no—
651C4⋊Dic59—21no—
652C4⋊Dic59—21no—
653C4⋊Dic59—21no—
654C4⋊Dic59C2×D411yescharacteristic
655C4⋊Dic59C2×D411yescharacteristic
656C4⋊Dic59C2411yescharacteristic
657C4⋊Dic59C2411yescharacteristic
658C4⋊Dic59C2411yescharacteristic
659C4⋊Dic59C2411yescharacteristic
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683Dic59⋊C4C2×D411yescharacteristic
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59—21no—
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2×D411yescharacteristic
692C4×Dic59C2411yescharacteristic
693C4×Dic59C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698Dic236—41no—
699D472—41no—
700#11745660—41no—
701#11745660—41no—
702#11745659—41no—
703C8×D59—41no—
704C8×D59—41no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59C22×D411yescharacteristic
709C22×D59—21no—
710C22×D59—21no—
711C22×D59—42no—
712C22×D59—42no—
713C22×D59—42no—
714C22×D59—81no—
715C22×D59—81no—
716C22×D59—81no—
717C22×D59C22×D411yescharacteristic
718C22×D59C22×D411yescharacteristic
719Q8×C59—21no—
720Q8×C59—21no—
721Q8×C59—21no—
722Q8×C59—21no—
723Q8×C59—21no—
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—21no—
727Q8×C59—81no—
728D4×C59—21no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—42no—
732D4×C59—81no—
733D4×C59H(5,𝔽2)12yes—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—42no—
743C2×C4×C59—81no—
744C2×C4×C59—81no—
745C2×C4×C59—81no—
746C2×C4×C59—81no—
747C2×C4×C59—81no—
748C2×C4×C59C22×D411yescharacteristic
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C22×D411yescharacteristic
753C2×C4×C59C2511yescharacteristic
754C22⋊D59—22no—
755C22⋊D59—41no—
756C22⋊D59—42no—
757C22⋊D59—42no—
758C22⋊D59—81no—
759C22⋊D59—81no—
760C22⋊D59—81no—
761C22⋊D59—81no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—42no—
769C2×Dic59—42no—
770C2×Dic59—81no—
771C2×Dic59—81no—
772C2×Dic59C22×D411yescharacteristic
773C2×Dic59C22×D411yescharacteristic
774C2×Dic59C22×D411yescharacteristic
775C2×Dic59C22×D411yescharacteristic
776C2×Dic59C22×D411yescharacteristic
777C2×Dic59C22×D411yescharacteristic
778D236—22no—
779D236—21no—
780D236—21no—
781D236—21no—
782D236—21no—
783D236—81no—
784D236—81no—
785C4×D59—22no—
786C4×D59—21no—
787C4×D59—21no—
788C4×D59—21no—
789C4×D59—21no—
790C4×D59—41no—
791C4×D59—42no—
792C4×D59—81no—
793C4×D59—81no—
794C4×D59—81no—
795C4×D59—81no—
796C4×D59—81no—
797C4×D59—81no—
798C4×D59—81no—
799Dic118—21no—
800Dic118—21no—
801Dic118—21no—
802Dic118—21no—
803Dic118—41no—
804Dic118—42no—
805Dic118—81no—
806Dic118—81no—
807Dic118—81no—
808Dic118—81no—
809Dic118—81no—
810C8×C59—21no—
811C8×C59—21no—
812C8×C59—21no—
813C8×C59—21no—
814C59⋊C8—21no—
815C59⋊C8—21no—
816C59⋊C8—21no—
817C59⋊C8—21no—
818#62017—591nomaximal, Sylow
819C22×C59—21no—
820C22×C59—22no—
821C22×C59—21no—
822C22×C59—21no—
823C22×C59—41no—
824C22×C59—41no—
825C22×C59—41no—
826C22×C59—41no—
827C22×C59—41no—
828C22×C59C23×D411yescharacteristic
829C2×D59—21no—
830C2×D59—21no—
831C2×D59—21no—
832C2×D59—21no—
833C2×D59—21no—
834C2×D59—41no—
835C2×D59—41no—
836C2×D59—41no—
837C2×D59—41no—
838C2×D59—41no—
839C2×D59—41no—
840C2×D59—84no—
841C2×D59—162no—
842C2×D59#57812yes—
843C4×C59—21no—
844C4×C59—21no—
845C4×C59—21no—
846C4×C59—21no—
847C4×C59—21no—
848C4×C59—41no—
849C4×C59—41no—
850C4×C59—41no—
851C4×C59—41no—
852C4×C59—41no—
853C4×C59—41no—
854C4×C59C2×H(5,𝔽2)11yescharacteristic
855C4×C59#58511yescharacteristic
856Dic59—21no—
857Dic59—21no—
858Dic59—21no—
859Dic59—21no—
860Dic59—21no—
861Dic59—21no—
862Dic59—41no—
863Dic59—41no—
864Dic59—41no—
865Dic59—41no—
866Dic59—41no—
867Dic59—41no—
868#3561—591no—
869#3520—591no—
870#3402—591no—
871#3402—591no—
872#3367—591no—
873#3367—591no—
874#3314—591no—
875#3314—591no—
876#3308—591no—
877#3308—591no—
878#3299—591no—
879#3299—591no—
880#3280—591no—
881#3280—591no—
882#3269—591no—
883#3269—591no—
884#3266—591no—
885#3266—591no—
886#3262—591no—
887#3262—591no—
888#3249—591no—
889#3225—591no—
890#3225—591no—
891#3215—591no—
892#3124—591no—
893#3124—591no—
894#3110—591no—
895#3046—591no—
896#3046D5911yescharacteristic, complemented
897C2×#463—591no—
898#2992—591no—
899C2×C59—42no—
900C2×C59—41no—
901C2×C59—81no—
902C2×C59#348811yescharacteristic
903C2×C59C2×#57811yescharacteristic
904C2×C59#358511yescharacteristic
905D59—22no—
906D59—41no—
907D59—81no—
908D59—81no—
909C2×#137—591no—
910C2×#137C2×D5911yescharacteristic, complemented
911C2×#135—591no—
912C2×#135C2×D5911yescharacteristic
913C22×SD16—591no—
914C22×D8—591no—
915#563—1181no—
916#562—1181no—
917#556—591no—
918#556—591no—
919#556—591no—
920#554—591no—
921#554—591no—
922#552—1181no—
923#551—1181no—
924#551—1181no—
925#551—1181no—
926#551—1181no—
927D4×Q8—591no—
928D4×Q8—591no—
929D4×Q8—591no—
930#548—591no—
931#548—591no—
932#548—1181no—
933#547—591no—
934#547—591no—
935#546—591no—
936#546—591no—
937#546—591no—
938#546—591no—
939#543—1181no—
940#542—591no—
941#542—591no—
942#542—591no—
943#542—591no—
944#542—1181no—
945#542—1181no—
946#539—1181no—
947#539—1181no—
948#538—1181no—
949#536—591no—
950#536C2×D5911yescharacteristic, complemented
951#533—591no—
952#533—591no—
953#529—591no—
954C2×#124—591no—
955#525—1181no—
956C2×C22⋊Q8—1181no—
957#520—591no—
958#520C2×D5911yescharacteristic, complemented
959C2×C4×D4—591no—
960#497—591no—
961#497—591no—
962#497—591no—
963#497—591no—
964#495—591no—
965#495—591no—
966#489—591no—
967#489—591no—
968#489—591no—
969#489—591no—
970#487—591no—
971#487—591no—
972#484—591no—
973#484—591no—
974#484—591no—
975#484—591no—
976#480—591no—
977#480—591no—
978#477—591no—
979#477—591no—
980#477—591no—
981#477—591no—
982#477—591no—
983#477—591no—
984#474—591no—
985#474—591no—
986#474—591no—
987#474—591no—
988#468—591no—
989#468—591no—
990#468—591no—
991#468—591no—
992#467—591no—
993#467—591no—
994#467—591no—
995#467—591no—
996#467—591no—
997#467—591no—
998#466—591no—
999#466—591no—
1000#464—591no—
1001#464—591no—
1002#464—591no—
1003#464—591no—
1004#464—591no—
1005#464—591no—
1006#464C2×D5911yescharacteristic, complemented
1007#464C2×D5911yescharacteristic, complemented
1008#463—591no—
1009#463—591no—
1010#463—591no—
1011#463—591no—
1012#463—591no—
1013#463—591no—
1014#463—591no—
1015#463—591no—
1016#463—591no—
1017#463—591no—
1018#463C2×D5911yescharacteristic
1019#463C2×D5911yescharacteristic
1020#462—591no—
1021#462—591no—
1022#462—591no—
1023#462—591no—
1024#462C2×D5911yescharacteristic, complemented
1025#462C2×D5911yescharacteristic, complemented
1026#461—591no—
1027#461—591no—
1028#461C2×D5911yescharacteristic, complemented
1029#461C2×D5911yescharacteristic, complemented
1030#452—591no—
1031#452—591no—
1032#452—591no—
1033#452—591no—
1034#451—591no—
1035#451—591no—
1036#451—591no—
1037#451—591no—
1038#450—591no—
1039#450—591no—
1040#450—591no—
1041#450—591no—
1042#449—591no—
1043#449—591no—
1044#449—591no—
1045#449—591no—
1046#448—591no—
1047#448—591no—
1048#446—591no—
1049#446—591no—
1050#440—591no—
1051#440—591no—
1052#440—591no—
1053#440—591no—
1054#440—591no—
1055#440—591no—
1056#440—591no—
1057#440—591no—
1058C4×Q16—591no—
1059C4×Q16—591no—
1060C4×D8—591no—
1061C4×D8—591no—
1062#435—591no—
1063#435—591no—
1064#435—591no—
1065#435—591no—
1066C8×D4—591no—
1067C8×D4—591no—
1068#433—591no—
1069#433—591no—
1070#432—591no—
1071#424—591no—
1072#424C2×D5911yescharacteristic, complemented
1073C2×C4⋊C8—591no—
1074#417—591no—
1075#417C2×D5911yescharacteristic, complemented
1076C2×#103—591no—
1077C2×#103—591no—
1078C2×#103C2×D5911yescharacteristic, complemented
1079C2×#102—591no—
1080C59#6201711yescharacteristic, complemented, Sylow
1081C2×#41—591no—
1082C2×#41—591no—
1083C2×#41—1181no—
1084C2×#41C22×D5911yescharacteristic
1085C2×#41C22×D5911yescharacteristic
1086C22×Q8—591no—
1087C22×Q8—591no—
1088C22×Q8—1181no—
1089C22×Q8C22×D5911yescharacteristic
1090C22×D4—591no—
1091C22×D4—591no—
1092C23×C4—1181no—
1093#137—42no—
1094#137—2362no—
1095#135—42no—
1096#135—2362no—
1097C2×Q16—591no—
1098C2×Q16—591no—
1099C2×Q16—591no—
1100C2×Q16—591no—
1101C2×Q16—591no—
1102C2×Q16C22×D5911yescharacteristic
1103C2×Q16C22×D5911yescharacteristic
1104C2×Q16C22×D5911yescharacteristic
1105C2×SD16—591no—
1106C2×SD16—591no—
1107C2×SD16—591no—
1108C2×SD16—591no—
1109C2×SD16—591no—
1110C2×SD16—591no—
1111C2×SD16—591no—
1112C2×SD16—591no—
1113C2×SD16—2362no—
1114C2×SD16C22×D5911yescharacteristic
1115C2×SD16C22×D5911yescharacteristic
1116C2×SD16C22×D5911yescharacteristic
1117C2×SD16C22×D5911yescharacteristic
1118C2×D8—591no—
1119C2×D8—591no—
1120C2×D8—591no—
1121C2×D8—2362no—
1122C2×D8C22×D5911yescharacteristic
1123C2×M16—591no—
1124C2×M16C22×D5911yescharacteristic
1125C22×C8—591no—
1126C22×C8—591no—
1127C22×C8—591no—
1128C22×C8C22×D5911yescharacteristic
1129C4⋊Q8—591no—
1130C4⋊Q8—591no—
1131C4⋊Q8—591no—
1132C4⋊Q8—591no—
1133C4⋊Q8—591no—
1134C4⋊Q8—591no—
1135C4⋊Q8—1181no—
1136C4⋊Q8—1181no—
1137C4⋊Q8C22×D5911yescharacteristic
1138C4⋊Q8C22×D5911yescharacteristic
1139#126—591no—
1140#126—591no—
1141#126—1181no—
1142#126—1181no—
1143#126—1181no—
1144#126—1181no—
1145#126—1181no—
1146#126—1181no—
1147#126—1181no—
1148#126—1181no—
1149#126—1181no—
1150#126—1181no—
1151#125—591no—
1152#125—1181no—
1153#125—1181no—
1154#125—1181no—
1155#125—1181no—
1156#124—591no—
1157#124—591no—
1158#124—591no—
1159#124—591no—
1160#124—591no—
1161#124—591no—
1162#124—591no—
1163#124—1181no—
1164#124—1181no—
1165#124—1181no—
1166#124—1181no—
1167#124—1181no—
1168#124—1181no—
1169#124—1181no—
1170#124—1181no—
1171#124C22×D5911yescharacteristic
1172#124C22×D5911yescharacteristic
1173#123—21no—
1174#123—21no—
1175#123—591no—
1176#123—591no—
1177#123—1181no—
1178#123—1181no—
1179#123—1181no—
1180#123—1181no—
1181#123—1181no—
1182#123—1181no—
1183#123—1181no—
1184#123—1181no—
1185#123—1181no—
1186#123—1181no—
1187#123—1181no—
1188#123—1181no—
1189#123—1181no—
1190#123—1181no—
1191C22⋊Q8—21no—
1192C22⋊Q8—21no—
1193C22⋊Q8—591no—
1194C22⋊Q8—591no—
1195C22⋊Q8—591no—
1196C22⋊Q8—591no—
1197C22⋊Q8—591no—
1198C22⋊Q8—591no—
1199C22⋊Q8—591no—
1200C22⋊Q8—591no—
1201C22⋊Q8—591no—
1202C22⋊Q8—1181no—
1203C22⋊Q8—1181no—
1204C22⋊Q8—1181no—
1205C22⋊Q8—1181no—
1206C22⋊Q8—1181no—
1207C22⋊Q8—1181no—
1208C22⋊Q8—1181no—
1209C22⋊Q8—1181no—
1210C22⋊Q8—1181no—
1211C22⋊Q8—1181no—
1212C22⋊Q8—1181no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223C22⋊Q8—1181no—
1224C22⋊Q8—1181no—
1225C22⋊Q8—1181no—
1226C22⋊Q8—1181no—
1227#121—591no—
1228#121—591no—
1229#121—591no—
1230#121—591no—
1231#121—591no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#120—1181no—
1240#120—1181no—
1241#120—1181no—
1242#120—1181no—
1243C4×Q8—591no—
1244C4×Q8—591no—
1245C4×Q8—591no—
1246C4×Q8—591no—
1247C4×Q8—591no—
1248C4×Q8—591no—
1249C4×Q8—591no—
1250C4×Q8—1181no—
1251C4×Q8—1181no—
1252C4×Q8C22×D5911yescharacteristic
1253C4×Q8C22×D5911yescharacteristic
1254C4×D4—21no—
1255C4×D4—21no—
1256C4×D4—591no—
1257C4×D4—591no—
1258C4×D4—591no—
1259C4×D4—591no—
1260C4×D4—591no—
1261C4×D4—591no—
1262C4×D4—591no—
1263C4×D4—591no—
1264C4×D4—591no—
1265C4×D4—1181no—
1266C4×D4—1181no—
1267C4×D4—1181no—
1268C4×D4—1181no—
1269C4×D4—1181no—
1270C4×D4—1181no—
1271C4×D4—1181no—
1272C4×D4—1181no—
1273C4×D4—1181no—
1274C4×D4—1181no—
1275C4×D4C22×D5911yescharacteristic
1276C4×D4C22×D5911yescharacteristic
1277#117—21no—
1278#117—591no—
1279#117—1181no—
1280#117—1181no—
1281#117—1181no—
1282#117—1181no—
1283#117—1181no—
1284#117—1181no—
1285#117C22×D5911yescharacteristic
1286C2×C4⋊C4—21no—
1287C2×C4⋊C4—591no—
1288C2×C4⋊C4—591no—
1289C2×C4⋊C4—1181no—
1290C2×C4⋊C4—1181no—
1291C2×C4⋊C4C22×D5911yescharacteristic
1292C2×C22⋊C4—1181no—
1293C2×C22⋊C4—1181no—
1294C2×C22⋊C4—1181no—
1295C2×C22⋊C4—1181no—
1296C2×C22⋊C4—1181no—
1297C2×C22⋊C4—1181no—
1298C2×C22⋊C4—1181no—
1299C2×C42—591no—
1300#107—591no—
1301#107—591no—
1302#107—591no—
1303#107—591no—
1304#107—591no—
1305#107—591no—
1306#107—591no—
1307#107—591no—
1308C4⋊C8—591no—
1309C4⋊C8—591no—
1310C4⋊C8—591no—
1311C4⋊C8—591no—
1312C4⋊C8—591no—
1313C4⋊C8—591no—
1314C4⋊C8C22×D5911yescharacteristic
1315C4⋊C8C22×D5911yescharacteristic
1316C4⋊C8C22×D5911yescharacteristic
1317C4⋊C8C22×D5911yescharacteristic
1318#103—591no—
1319#103—591no—
1320#103—591no—
1321#103—591no—
1322#103—591no—
1323#103—591no—
1324#103—591no—
1325#103—591no—
1326#103—591no—
1327#103—591no—
1328#103—591no—
1329#103—591no—
1330#103—591no—
1331#103—591no—
1332#103C22×D5911yescharacteristic
1333#103C22×D5911yescharacteristic
1334#103C22×D5911yescharacteristic
1335#103C22×D5911yescharacteristic
1336#103C22×D5911yescharacteristic
1337#103C22×D5911yescharacteristic
1338#102—591no—
1339#102—591no—
1340#102—591no—
1341#102—591no—
1342#102—591no—
1343#102—591no—
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102C22×D5911yescharacteristic
1349#102C22×D5911yescharacteristic
1350C22⋊C8—591no—
1351C22⋊C8—591no—
1352C22⋊C8—591no—
1353C22⋊C8—591no—
1354C22⋊C8—591no—
1355C22⋊C8—591no—
1356#97—591no—
1357#97—591no—
1358#97—591no—
1359#97—591no—
1360C4×C8—591no—
1361C4×C8—591no—
1362C24—1181no—
1363C24—1181no—
1364#41—22no—
1365#41—41no—
1366#41—41no—
1367#41—41no—
1368#41—1182no—
1369#41—4722no—
1370#41—2361no—
1371#41—2361no—
1372#41—2361no—
1373C2×Q8—21no—
1374C2×Q8—41no—
1375C2×Q8—41no—
1376C2×Q8—591no—
1377C2×Q8—591no—
1378C2×Q8—591no—
1379C2×Q8—1181no—
1380C2×Q8—1181no—
1381C2×Q8—1181no—
1382C2×Q8—1181no—
1383C2×Q8—1181no—
1384C2×Q8—1181no—
1385C2×Q8—4722no—
1386C2×Q8—2361no—
1387C2×Q8—2361no—
1388C2×Q8—2361no—
1389C2×Q8—2361no—
1390C2×Q8C23×D5911yescharacteristic
1391C2×Q8C23×D5911yescharacteristic
1392C2×Q8C23×D5911yescharacteristic
1393C2×Q8C23×D5911yescharacteristic
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—591no—
1397C2×D4—591no—
1398C2×D4—591no—
1399C2×D4—591no—
1400C2×D4—591no—
1401C2×D4—1181no—
1402C2×D4—1181no—
1403C2×D4—1181no—
1404C2×D4—1181no—
1405C2×D4—1182no—
1406C2×D4—1181no—
1407C2×D4—1181no—
1408C2×D4—1181no—
1409C2×D4—1181no—
1410C2×D4—2361no—
1411C2×D4—2361no—
1412C2×D4—2361no—
1413C2×D4C23×D5911yescharacteristic
1414C2×D4C23×D5911yescharacteristic
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—591no—
1422C22×C4—591no—
1423C22×C4—591no—
1424C22×C4—591no—
1425C22×C4—1181no—
1426C22×C4—1181no—
1427C22×C4—1181no—
1428C22×C4—1181no—
1429C22×C4—1181no—
1430C22×C4—1181no—
1431C22×C4—1181no—
1432C22×C4—1181no—
1433C22×C4—1181no—
1434C22×C4—1181no—
1435C22×C4—1181no—
1436C22×C4—1181no—
1437C22×C4—4722no—
1438C22×C4C23×D5911yescharacteristic
1439Q16—41no—
1440Q16—41no—
1441Q16—41no—
1442Q16—2361no—
1443Q16—2361no—
1444Q16—2361no—
1445Q16—2361no—
1446Q16—2361no—
1447SD16—22no—
1448SD16—22no—
1449SD16—22no—
1450SD16—41no—
1451SD16—1182no—
1452SD16—2361no—
1453SD16—2361no—
1454SD16—2361no—
1455SD16—2361no—
1456SD16—2361no—
1457SD16—2361no—
1458SD16—2361no—
1459D8—22no—
1460D8—1182no—
1461D8—2361no—
1462D8—2361no—
1463M16—41no—
1464M16—2361no—
1465C2×C8—41no—
1466C2×C8—591no—
1467C2×C8—591no—
1468C2×C8—591no—
1469C2×C8—591no—
1470C2×C8—2361no—
1471C2×C8—2361no—
1472C2×C8—2361no—
1473C2×C8C23×D5911yescharacteristic
1474C2×C8C23×D5911yescharacteristic
1475C2×C8C23×D5911yescharacteristic
1476C2×C8C23×D5911yescharacteristic
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—591no—
1485C4⋊C4—591no—
1486C4⋊C4—591no—
1487C4⋊C4—591no—
1488C4⋊C4—591no—
1489C4⋊C4—591no—
1490C4⋊C4—591no—
1491C4⋊C4—591no—
1492C4⋊C4—591no—
1493C4⋊C4—591no—
1494C4⋊C4—591no—
1495C4⋊C4—591no—
1496C4⋊C4—1181no—
1497C4⋊C4—1181no—
1498C4⋊C4—1181no—
1499C4⋊C4—1181no—
1500C4⋊C4—1181no—
1501C4⋊C4—1181no—
1502C4⋊C4—1181no—
1503C4⋊C4—1181no—
1504C4⋊C4—1181no—
1505C4⋊C4—1181no—
1506C4⋊C4—1181no—
1507C4⋊C4—1181no—
1508C4⋊C4—1181no—
1509C4⋊C4—1181no—
1510C4⋊C4—1181no—
1511C4⋊C4—1181no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4D4×D5911yescharacteristic
1521C4⋊C4D4×D5911yescharacteristic
1522C4⋊C4C23×D5911yescharacteristic
1523C4⋊C4C23×D5911yescharacteristic
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—591no—
1531C22⋊C4—591no—
1532C22⋊C4—591no—
1533C22⋊C4—591no—
1534C22⋊C4—591no—
1535C22⋊C4—591no—
1536C22⋊C4—591no—
1537C22⋊C4—591no—
1538C22⋊C4—1181no—
1539C22⋊C4—1181no—
1540C22⋊C4—1181no—
1541C22⋊C4—1181no—
1542C22⋊C4—1181no—
1543C22⋊C4—1181no—
1544C22⋊C4—1181no—
1545C22⋊C4—1181no—
1546C22⋊C4—1181no—
1547C22⋊C4—1181no—
1548C22⋊C4—1181no—
1549C22⋊C4—1181no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4D4×D5911yescharacteristic
1569C22⋊C4D4×D5911yescharacteristic
1570C42—21no—
1571C42—21no—
1572C42—591no—
1573C42—591no—
1574C42—591no—
1575C42—591no—
1576C42—1181no—
1577C42—1181no—
1578C42—1181no—
1579C42—1181no—
1580C42—1181no—
1581C42—1181no—
1582C42C23×D5911yescharacteristic
1583C42C23×D5911yescharacteristic
1584C23—21no—
1585C23—21no—
1586C23—591no—
1587C23—591no—
1588C23—1181no—
1589C23—1181no—
1590C23—4721no—
1591C23—4721no—
1592C23—4721no—
1593C23—2362no—
1594C23—2362no—
1595C23—2362no—
1596C23C2×D4×D5911yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—21no—
1602Q8—21no—
1603Q8—21no—
1604Q8—21no—
1605Q8—81no—
1606Q8—1181no—
1607Q8—1181no—
1608Q8—1181no—
1609Q8—1181no—
1610Q8—4721no—
1611Q8—4721no—
1612Q8—4721no—
1613Q8—4721no—
1614Q8—4721no—
1615Q8—2361no—
1616Q8—2362no—
1617D4—21no—
1618D4—21no—
1619D4—21no—
1620D4—42no—
1621D4—81no—
1622D4—1182no—
1623D4—1182no—
1624D4—1181no—
1625D4—1181no—
1626D4—1181no—
1627D4—1181no—
1628D4—4721no—
1629D4—4721no—
1630D4—4721no—
1631D4—4721no—
1632D4—4721no—
1633D4—4721no—
1634D4—2361no—
1635D4—2362no—
1636D4—2362no—
1637D4#1427377212yes—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—42no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4—81no—
1650C2×C4—81no—
1651C2×C4—81no—
1652C2×C4—591no—
1653C2×C4—591no—
1654C2×C4—591no—
1655C2×C4—591no—
1656C2×C4—591no—
1657C2×C4—591no—
1658C2×C4—1182no—
1659C2×C4—1181no—
1660C2×C4—1181no—
1661C2×C4—1181no—
1662C2×C4—1181no—
1663C2×C4—1181no—
1664C2×C4—1181no—
1665C2×C4—1181no—
1666C2×C4—1181no—
1667C2×C4—1181no—
1668C2×C4—1181no—
1669C2×C4—4721no—
1670C2×C4—4721no—
1671C2×C4—4721no—
1672C2×C4—4721no—
1673C2×C4—4721no—
1674C2×C4—4721no—
1675C2×C4—4721no—
1676C2×C4—4721no—
1677C2×C4—4721no—
1678C2×C4—2361no—
1679C2×C4—2362no—
1680C2×C4—2362no—
1681C2×C4—2362no—
1682C2×C4C2×D4×D5911yescharacteristic
1683C2×C4C2×D4×D5911yescharacteristic
1684C2×C4C2×D4×D5911yescharacteristic
1685C2×C4C2×D4×D5911yescharacteristic
1686C2×C4C2×D4×D5911yescharacteristic
1687C2×C4C24×D5911yescharacteristic
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—1181no—
1693C8—1181no—
1694C8—1181no—
1695C8—1181no—
1696C22—21no—
1697C22—22no—
1698C22—21no—
1699C22—21no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—592no—
1706C22—1181no—
1707C22—1181no—
1708C22—1181no—
1709C22—1181no—
1710C22—1181no—
1711C22—9442no—
1712C22—4724no—
1713C22—2361no—
1714C22—2361no—
1715C22—2361no—
1716C22—2361no—
1717C22—2361no—
1718C22—2361no—
1719C22C22×D4×D5911yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—1181no—
1732C4—1181no—
1733C4—1181no—
1734C4—1181no—
1735C4—1181no—
1736C4—1181no—
1737C4—2361no—
1738C4—2361no—
1739C4—2361no—
1740C4—2361no—
1741C4—2361no—
1742C4—2361no—
1743C4C2×#1427377211yescharacteristic
1744C4#1683823811yescharacteristic
1745C2—41no—
1746C2—42no—
1747C2—81no—
1748C2—1182no—
1749C2—4721no—
1750C2—4721no—
1751C2—2361no—
1752C2#2143776111yescharacteristic
1753C2#578×D5911yescharacteristic
1754C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3046C2
socleC22×C59C23×D4
hypercenter#3046D59
hypocenterC59#62017
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3046

Complements

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

NH ≅ G/Ntype
1. #21438657C2semidirect
2. #21438135C2semidirect
3. #21437175C2semidirect
4. #21437170C2semidirect
5. #21436818C2semidirect
6. #21436809C2semidirect
7. #21436184C2semidirect
8. #21436178C2semidirect
9. #21436088C2semidirect
10. #21436083C2semidirect
11. #21435975C2semidirect
12. #21435968C2semidirect
13. #21435776C2semidirect
14. #21435775C2semidirect
15. #21435651C2semidirect
16. #21435645C2semidirect
17. #21435612C2semidirect
18. #21435600C2semidirect
19. #21435557C2semidirect
20. #21435555C2semidirect
21. #21435439C2semidirect
22. #21435212C2semidirect
23. #21435205C2semidirect
24. #21435097C2semidirect
25. #21434358C2semidirect
26. #21434355C2semidirect
27. #21434194C2semidirect
28. #21433641C2semidirect
29. #463×D59C2semidirect
30. #21433233C2semidirect
31. C59×#3046C2semidirect
32. C2×#14273756C22semidirect
38. #16838126C22semidirect
39. #16838124C22semidirect
40. #16838121C22semidirect
48. D4×Dic118C22semidirect
51. #16838063C22semidirect
53. #16838059C22semidirect
54. #16838053C22semidirect
55. #16838051C22semidirect
61. #16838024C22semidirect
62. #16838023C22semidirect
63. #16838023C22semidirect
65. #16838021C22semidirect
70. #16837977C22semidirect
77. #16837881C22semidirect
79. #16837795C22semidirect
80. #16837795C22semidirect
81. #16837794C22semidirect
82. #16837793C22semidirect
85. #16837763C22semidirect
86. #16837763C22semidirect
87. #16837761C22semidirect
88. #16837760C22semidirect
89. #16837752C22semidirect
90. #16837751C22semidirect
91. #16837737C22semidirect
94. #16837736C22semidirect
95. #16837715C22semidirect
96. #16837714C22semidirect
97. #16837698C22semidirect
98. #16837698C22semidirect
99. #16837697C22semidirect
100. #16837695C22semidirect
101. #16837695C22semidirect
102. #16837695C22semidirect
103. #16837683C22semidirect
104. #16837683C22semidirect
105. #16837682C22semidirect
106. #16837680C22semidirect
107. #16837651C22semidirect
108. #16837648C22semidirect
109. #16837648C22semidirect
110. #16837645C22semidirect
111. #16837643C22semidirect
116. #16837640C22semidirect
119. #16837627C22semidirect
120. #16837626C22semidirect
121. #16837625C22semidirect
122. #16837625C22semidirect
123. #16837624C22semidirect
124. #16837621C22semidirect
135. #16837611C22semidirect
136. #16837610C22semidirect
137. #16837610C22semidirect
138. #16837609C22semidirect
139. #16837605C22semidirect
140. #16837604C22semidirect
141. #16837564C22semidirect
142. #16837564C22semidirect
143. #16837563C22semidirect
144. #16837561C22semidirect
146. #16837558C22semidirect
148. #16837556C22semidirect
157. #16837542C22semidirect
158. #16837541C22semidirect
159. #16837531C22semidirect
160. #16837529C22semidirect
161. #16837505C22semidirect
162. #16837505C22semidirect
163. #16837503C22semidirect
164. #16837503C22semidirect
165. #16837503C22semidirect
166. #16837502C22semidirect
167. #16837500C22semidirect
168. #16837499C22semidirect
169. C4×#11745672C22semidirect
170. #16837494C22semidirect
173. #16837473C22semidirect
176. #16837471C22semidirect
179. #16837463C22semidirect
180. #16837462C22semidirect
182. #16837427C22semidirect
184. #16837402C22semidirect
186. #103×D59C22semidirect
188. C2×#137×C59C22semidirect
190. C59×#536C22semidirect
191. C59×#520C22semidirect
192. C59×#464C22semidirect
193. C59×#464C22semidirect
196. C59×#462C22semidirect
197. C59×#462C22semidirect
198. C59×#461C22semidirect
199. C59×#461C22semidirect
200. C59×#424C22semidirect
201. C59×#417C22semidirect
202. C2×#103×C59C22semidirect
896. #3046D59semidirect
910. C2×#137C2×D59semidirect
950. #536C2×D59semidirect
958. #520C2×D59semidirect
1006. #464C2×D59semidirect
1007. #464C2×D59semidirect
1024. #462C2×D59semidirect
1025. #462C2×D59semidirect
1028. #461C2×D59semidirect
1029. #461C2×D59semidirect
1072. #424C2×D59semidirect
1075. #417C2×D59semidirect
1078. C2×#103C2×D59semidirect
1080. C59#62017semidirect

Maximal subgroups

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

subgroupindex
#214386572
#214381352
#214371752
#214371702
#214368182
#214368092
#214361842
#214361782
#214360882
#214360832
#214359752
#214359682
#214357762
#214357752
#214356512
#214356452
#214356122
#214356002
#214355572
#214355552
#214354392
#214352122
#214352052
#214350972
#214343582
#214343552
#214341942
#214336412
#463×D592
#214332332
C59×#30462
#6201759