Finite Group Databasebeta

← D59×#3266 #29463662

Subgroups — D59×#3266 #29463662

Order 15104.

2882 conjugacy classes of subgroups.

The subgroup lattice has 2066 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#137×D59C211yesmaximal, characteristic, complemented
2C22×SD16×D59C211yesmaximal, characteristic, complemented
3D4×Q8×D59C211yesmaximal, characteristic, complemented
4#546×D59C211yesmaximal, characteristic
5#21435613C211yesmaximal, characteristic, complemented
6#21435612C211yesmaximal, characteristic, complemented
7#21435611C211yesmaximal, characteristic, complemented
8#21435610C211yesmaximal, characteristic, complemented
9#21435609C211yesmaximal, characteristic, complemented
10#21435608C211yesmaximal, characteristic, complemented
11#21435607C211yesmaximal, characteristic, complemented
12#21435606C211yesmaximal, characteristic, complemented
13#21435605C211yesmaximal, characteristic, complemented
14#21435604C211yesmaximal, characteristic, complemented
15#21435603C211yesmaximal, characteristic, complemented
16#21435602C211yesmaximal, characteristic, complemented
17#21435601C211yesmaximal, characteristic, complemented
18#21435600C211yesmaximal, characteristic, complemented
19#21435599C211yesmaximal, characteristic, complemented
20#497×D59C211yesmaximal, characteristic, complemented
21#468×D59C211yesmaximal, characteristic, complemented
22#467×D59C211yesmaximal, characteristic, complemented
23#464×D59C211yesmaximal, characteristic, complemented
24#461×D59C211yesmaximal, characteristic, complemented
25#452×D59C211yesmaximal, characteristic, complemented
26#451×D59C211yesmaximal, characteristic, complemented
27#448×D59C211yesmaximal, characteristic, complemented
28#450×D59C211yesmaximal, characteristic, complemented
29#440×D59C211yesmaximal, characteristic, complemented
30#435×D59C211yesmaximal, characteristic, complemented
31C59×#3266C211yesmaximal, characteristic, complemented
32C2×#41×D59C2211yescharacteristic
33C22×Q8×D59C2211yescharacteristic
34C22×Q8×D59C2211yescharacteristic, complemented
35C22×D4×D59C2211yescharacteristic
36C2×#14273760C2211yescharacteristic, complemented
37C2×#14273759C2211yescharacteristic, complemented
38C2×#14273759C2211yescharacteristic, complemented
39C2×#14273758C2211yescharacteristic, complemented
40C2×#14273757C2211yescharacteristic, complemented
41C2×#14273756C2211yescharacteristic, complemented
42C2×#14273756C2211yescharacteristic, complemented
43#137×D59—28no—
44C2×Q16×D59C2211yescharacteristic, complemented
45C2×Q16×D59C2211yescharacteristic, complemented
46C2×Q16×D59C2211yescharacteristic, complemented
47C22×#11745660C2211yescharacteristic, complemented
48C22×#11745670C2211yescharacteristic, complemented
49C22×#11745671C2211yescharacteristic, complemented
50C2×SD16×D59—28no—
51C2×SD16×D59C2211yescharacteristic
52C2×SD16×D59C2211yescharacteristic
53C2×SD16×D59C2211yescharacteristic
54C2×SD16×D59C2211yescharacteristic
55C2×SD16×D59C2211yescharacteristic
56C2×SD16×D59C2211yescharacteristic
57C2×SD16×D59C2211yescharacteristic, complemented
58C2×SD16×D59C2211yescharacteristic, complemented
59C2×SD16×D59C2211yescharacteristic, complemented
60C2×SD16×D59C2211yescharacteristic, complemented
61C2×M16×D59C2211yescharacteristic, complemented
62C22×C8×D59C2211yescharacteristic
63Q8×D236C2211yescharacteristic, complemented
64D4×Dic118—21no—
65D4×Dic118C2211yescharacteristic, complemented
66#16838067—21no—
67#16838067C2211yescharacteristic, complemented
68Q8×C22⋊D59C2211yescharacteristic, complemented
69Q8×C22⋊D59C2211yescharacteristic, complemented
70#16838065—21no—
71#16838065—21no—
72#16838065C2211yescharacteristic, complemented
73#16838065C2211yescharacteristic, complemented
74#16838049C2211yescharacteristic
75#16838048C2211yescharacteristic
76#16838047C2211yescharacteristic
77#16838046C2211yescharacteristic
78#16838045C2211yescharacteristic
79#16838044—21no—
80#16838043C2211yescharacteristic
81#16838042—21no—
82#16838041—21no—
83#16838040C2211yescharacteristic
84#16838039—21no—
85C4⋊Q8×D59—21no—
86C4⋊Q8×D59C2211yescharacteristic, complemented
87#124×D59C2211yescharacteristic
88#123×D59—21no—
89C22⋊Q8×D59—21no—
90C22⋊Q8×D59—21no—
91C22⋊Q8×D59C2211yescharacteristic
92C22⋊Q8×D59C2211yescharacteristic
93C22⋊Q8×D59C2211yescharacteristic, complemented
94#121×D59—21no—
95#121×D59C2211yescharacteristic
96#120×D59—21no—
97C4×Q8×D59C2211yescharacteristic, complemented
98C4×D4×D59—21no—
99C4×D4×D59C2211yescharacteristic
100C4×D4×D59C2211yescharacteristic
101C2×C22⋊C4×D59—21no—
102#16837797C2211yescharacteristic, complemented
103#16837796C2211yescharacteristic, complemented
104#16837795C2211yescharacteristic, complemented
105#16837795C2211yescharacteristic, complemented
106#16837794C2211yescharacteristic, complemented
107#16837793C2211yescharacteristic, complemented
108#16837793C2211yescharacteristic, complemented
109#16837651C2211yescharacteristic, complemented
110#16837650C2211yescharacteristic, complemented
111#16837649C2211yescharacteristic, complemented
112#16837648C2211yescharacteristic, complemented
113#16837647C2211yescharacteristic, complemented
114#16837646C2211yescharacteristic, complemented
115#16837645C2211yescharacteristic, complemented
116#16837644C2211yescharacteristic, complemented
117#16837643C2211yescharacteristic, complemented
118#16837642C2211yescharacteristic, complemented
119#16837642C2211yescharacteristic, complemented
120#16837641C2211yescharacteristic, complemented
121#16837641C2211yescharacteristic, complemented
122#16837640C2211yescharacteristic, complemented
123#16837627C2211yescharacteristic, complemented
124#16837626C2211yescharacteristic, complemented
125#16837625C2211yescharacteristic, complemented
126#16837624C2211yescharacteristic, complemented
127#16837623C2211yescharacteristic, complemented
128#16837622C2211yescharacteristic, complemented
129#16837621C2211yescharacteristic, complemented
130#16837608C2211yescharacteristic, complemented
131#16837607C2211yescharacteristic, complemented
132#16837606C2211yescharacteristic, complemented
133#16837606C2211yescharacteristic, complemented
134#16837605C2211yescharacteristic, complemented
135#16837605C2211yescharacteristic, complemented
136#16837604C2211yescharacteristic, complemented
137#16837567C2211yescharacteristic, complemented
138#16837566C2211yescharacteristic, complemented
139#16837565C2211yescharacteristic, complemented
140#16837564C2211yescharacteristic, complemented
141#16837563C2211yescharacteristic, complemented
142#16837562C2211yescharacteristic, complemented
143#16837561C2211yescharacteristic, complemented
144#16837560C2211yescharacteristic, complemented
145#16837559C2211yescharacteristic, complemented
146#16837559C2211yescharacteristic, complemented
147#16837558C2211yescharacteristic, complemented
148#16837557C2211yescharacteristic, complemented
149#16837556C2211yescharacteristic, complemented
150#16837556C2211yescharacteristic, complemented
151#16837555C2211yescharacteristic, complemented
152#16837554C2211yescharacteristic, complemented
153#16837554C2211yescharacteristic, complemented
154#16837553C2211yescharacteristic, complemented
155#16837552C2211yescharacteristic, complemented
156#16837551C2211yescharacteristic, complemented
157#16837551C2211yescharacteristic, complemented
158#16837543C2211yescharacteristic, complemented
159#16837542C2211yescharacteristic, complemented
160#16837542C2211yescharacteristic, complemented
161#16837541C2211yescharacteristic, complemented
162#16837540C2211yescharacteristic, complemented
163#16837539C2211yescharacteristic, complemented
164#16837539C2211yescharacteristic, complemented
165#16837505C2211yescharacteristic, complemented
166#16837504C2211yescharacteristic, complemented
167#16837503C2211yescharacteristic, complemented
168#16837502C2211yescharacteristic, complemented
169#16837501C2211yescharacteristic, complemented
170#16837500C2211yescharacteristic, complemented
171#16837499C2211yescharacteristic, complemented
172#16837476C2211yescharacteristic, complemented
173#16837475C2211yescharacteristic, complemented
174#16837474C2211yescharacteristic, complemented
175#16837473C2211yescharacteristic, complemented
176#16837472C2211yescharacteristic, complemented
177#16837471C2211yescharacteristic, complemented
178#16837470C2211yescharacteristic, complemented
179#107×D59C2211yescharacteristic, complemented
180C4⋊C8×D59C2211yescharacteristic, complemented
181#103×D59C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183#103×D59C2211yescharacteristic, complemented
184#103×D59C2211yescharacteristic, complemented
185#102×D59C2211yescharacteristic
186#102×D59C2211yescharacteristic
187C22⋊C8×D59C2211yescharacteristic
188C22⋊C8×D59C2211yescharacteristic, complemented
189#97×D59C2211yescharacteristic, complemented
190C2×#137×C59C2211yescharacteristic, complemented
191C22×SD16×C59C2211yescharacteristic, complemented
192D4×Q8×C59C2211yescharacteristic, complemented
193C59×#546C2211yescharacteristic
194C59×#497C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#467C2211yescharacteristic, complemented
197C59×#464C2211yescharacteristic, complemented
198C59×#461C2211yescharacteristic, complemented
199C59×#452C2211yescharacteristic, complemented
200C59×#451C2211yescharacteristic, complemented
201C59×#450C2211yescharacteristic, complemented
202C59×#448C2211yescharacteristic, complemented
203C59×#440C2211yescharacteristic, complemented
204C59×#435C2211yescharacteristic, complemented
205C24×D59—21no—
206C2×#11745689C2311yescharacteristic
207C2×#11745685—21no—
208C2×#11745685C2311yescharacteristic
209C2×#11745687—21no—
210C2×#11745687C2311yescharacteristic
211#41×D59—24no—
212#41×D59—42no—
213C22×Dic118—21no—
214C22×Dic118—21no—
215C22×Dic118C2311yescharacteristic
216C22×Dic118C2311yescharacteristic, complemented
217C2×Q8×D59—21no—
218C2×Q8×D59—21no—
219C2×Q8×D59—21no—
220C2×Q8×D59—21no—
221C2×Q8×D59—24no—
222C2×Q8×D59—24no—
223C2×Q8×D59—42no—
224C2×Q8×D59—42no—
225C2×Q8×D59C2311yescharacteristic
226C2×Q8×D59C2311yescharacteristic
227C2×Q8×D59C2311yescharacteristic
228C2×Q8×D59C2311yescharacteristic
229C2×Q8×D59C2311yescharacteristic
230C2×Q8×D59C2311yescharacteristic
231C2×Q8×D59C2311yescharacteristic, complemented
232C2×Q8×D59C2311yescharacteristic, complemented
233C22×D236C2311yescharacteristic
234C22×C22⋊D59—21no—
235C2×D4×D59—24no—
236C2×D4×D59—21no—
237C2×D4×D59—21no—
238C2×D4×D59—21no—
239C2×D4×D59—21no—
240C2×D4×D59—42no—
241C2×D4×D59D411yescharacteristic
242C2×D4×D59C2311yescharacteristic
243C2×D4×D59C2311yescharacteristic
244C2×D4×D59C2311yescharacteristic
245C2×D4×D59C2311yescharacteristic
246C22×C4×D59—21no—
247C22×C4×D59—21no—
248C22×C4×D59—21no—
249C22×C4×D59—21no—
250C22×C4×D59C2311yescharacteristic
251C22×C4×D59C2311yescharacteristic
252#14273760—24no—
253#14273759—24no—
254#14273759—24no—
255#14273758—24no—
256#14273757—24no—
257#14273756—24no—
258#14273756—24no—
259C2×Dic236C2311yescharacteristic, complemented
260C2×Dic236C2311yescharacteristic, complemented
261C2×Dic236C2311yescharacteristic, complemented
262C2×#11745672C2311yescharacteristic, complemented
263C2×#11745672C2311yescharacteristic, complemented
264C2×#11745672C2311yescharacteristic, complemented
265C2×#11745672C2311yescharacteristic, complemented
266C2×#11745672C2311yescharacteristic, complemented
267C2×#11745672C2311yescharacteristic, complemented
268Q16×D59—24no—
269Q16×D59—24no—
270Q16×D59—42no—
271C2×#11745660—24no—
272C2×#11745660C2311yescharacteristic
273C2×#11745660C2311yescharacteristic
274C2×#11745660C2311yescharacteristic
275C2×#11745660C2311yescharacteristic
276C2×#11745660C2311yescharacteristic
277C2×#11745660C2311yescharacteristic
278C2×#11745670—24no—
279C2×#11745670C2311yescharacteristic
280C2×#11745670C2311yescharacteristic
281C2×#11745670C2311yescharacteristic
282C2×#11745670C2311yescharacteristic
283C2×#11745670C2311yescharacteristic
284C2×#11745670C2311yescharacteristic
285C2×#11745671—24no—
286C2×#11745671C2311yescharacteristic
287C2×#11745671C2311yescharacteristic
288C2×#11745671C2311yescharacteristic
289C2×#11745671C2311yescharacteristic
290C2×#11745671C2311yescharacteristic
291C2×#11745671C2311yescharacteristic
292SD16×D59—24no—
293SD16×D59—24no—
294SD16×D59—24no—
295SD16×D59—24no—
296SD16×D59—24no—
297SD16×D59—24no—
298SD16×D59—24no—
299SD16×D59—24no—
300SD16×D59—42no—
301SD16×D59D418yescomplemented
302C2×#11745664C2311yescharacteristic, complemented
303C2×#11745659C2311yescharacteristic, complemented
304C2×#11745659C2311yescharacteristic, complemented
305M16×D59—24no—
306C22×C59⋊C8C2311yescharacteristic
307C2×C8×D59—24no—
308C2×C8×D59C2311yescharacteristic
309C2×C8×D59C2311yescharacteristic
310C2×C8×D59C2311yescharacteristic
311C2×C8×D59C2311yescharacteristic
312C2×C8×D59C2311yescharacteristic
313C2×C8×D59C2311yescharacteristic
314#14273727—21no—
315#14273727C2311yescharacteristic, complemented
316#14273726—21no—
317#14273726—21no—
318#14273726—21no—
319#14273726—21no—
320#14273726—21no—
321#14273726—21no—
322#14273725—21no—
323#14273725—21no—
324#14273725C2311yescharacteristic, complemented
325#14273725C2311yescharacteristic, complemented
326#14273716C2311yescharacteristic
327#14273715C2311yescharacteristic
328#14273714C2311yescharacteristic
329#14273713—21no—
330#14273713—21no—
331#14273712—21no—
332#14273712—21no—
333#14273711—21no—
334#14273710—21no—
335#14273709—21no—
336#14273709—21no—
337#14273708—21no—
338#14273707—21no—
339#14273707—21no—
340#14273707C2311yescharacteristic
341#14273707C2311yescharacteristic
342#14273707C2311yescharacteristic, complemented
343#14273706—21no—
344#14273706—21no—
345#14273706C2311yescharacteristic
346#14273706C2311yescharacteristic
347#14273706C2311yescharacteristic, complemented
348#14273705—21no—
349#14273705—21no—
350#14273705—21no—
351#14273705—21no—
352#14273705—21no—
353#14273705—21no—
354#14273705—21no—
355#14273704—21no—
356#14273704—21no—
357#14273704—21no—
358#14273704—21no—
359#14273704—21no—
360#14273704—21no—
361#14273704—21no—
362#14273703—21no—
363#14273703—21no—
364#14273703C2311yescharacteristic
365#14273703C2311yescharacteristic
366#14273703C2311yescharacteristic, complemented
367#14273702—21no—
368#14273702C2311yescharacteristic
369#14273701—21no—
370#14273701C2311yescharacteristic
371#14273700—21no—
372#14273700—21no—
373#14273700—21no—
374#14273699—21no—
375#14273699—21no—
376#14273699—21no—
377#14273698—21no—
378#14273698C2311yescharacteristic
379#14273697—21no—
380#14273697—21no—
381#14273697—21no—
382#14273696—21no—
383#14273695—21no—
384#14273695—21no—
385#14273695—21no—
386Q8×Dic59C2311yescharacteristic, complemented
387C4×Dic118—21no—
388C4×Dic118C2311yescharacteristic, complemented
389#14273692—21no—
390#14273692C2311yescharacteristic, complemented
391C4×D236—21no—
392C4×D236C2311yescharacteristic
393C4×D236C2311yescharacteristic
394D4×Dic59—21no—
395D4×Dic59D411yescharacteristic
396D4×Dic59C2311yescharacteristic
397#14273689—21no—
398#14273689D411yescharacteristic
399#14273689C2311yescharacteristic
400C4×C22⋊D59—21no—
401C4×C22⋊D59—21no—
402C4×C22⋊D59—21no—
403C4×C22⋊D59C2311yescharacteristic
404C4×C22⋊D59C2311yescharacteristic
405(C22⋊D59)⋊C4—21no—
406(C22⋊D59)⋊C4—21no—
407(C22⋊D59)⋊C4—21no—
408(C22⋊D59)⋊C4D411yescharacteristic
409(C22⋊D59)⋊C4D411yescharacteristic
410C4⋊C4×D59—21no—
411C4⋊C4×D59—21no—
412C4⋊C4×D59—21no—
413C4⋊C4×D59—21no—
414C4⋊C4×D59—21no—
415C4⋊C4×D59—21no—
416C4⋊C4×D59D411yescharacteristic
417C4⋊C4×D59C2311yescharacteristic
418C4⋊C4×D59C2311yescharacteristic
419C2×C22⋊Dic59—21no—
420C2×(C2×D59)⋊C4—21no—
421C2×(C2×D59)⋊C4—21no—
422C22⋊C4×D59—21no—
423C22⋊C4×D59—21no—
424C22⋊C4×D59—21no—
425C22⋊C4×D59—21no—
426C22⋊C4×D59—21no—
427C22⋊C4×D59—21no—
428C22⋊C4×D59—21no—
429C22⋊C4×D59—21no—
430C22⋊C4×D59—21no—
431C22⋊C4×D59—21no—
432C22⋊C4×D59—21no—
433C22⋊C4×D59D411yescharacteristic
434C22⋊C4×D59D411yescharacteristic
435C42×D59—21no—
436C42×D59C2311yescharacteristic
437#14273661C2311yescharacteristic, complemented
438#14273660C2311yescharacteristic, complemented
439#14273660C2311yescharacteristic, complemented
440C4⋊(C59⋊C8)C2311yescharacteristic, complemented
441Dic59⋊C8C2311yescharacteristic, complemented
442Dic59⋊C8C2311yescharacteristic, complemented
443#14273652C2311yescharacteristic, complemented
444#14273652C2311yescharacteristic, complemented
445#14273652C2311yescharacteristic, complemented
446#14273652C2311yescharacteristic, complemented
447#14273651C2311yescharacteristic, complemented
448#14273651C2311yescharacteristic, complemented
449#14273651C2311yescharacteristic, complemented
450#14273651C2311yescharacteristic, complemented
451#14273650C2311yescharacteristic, complemented
452#14273650C2311yescharacteristic, complemented
453#14273650C2311yescharacteristic, complemented
454#14273650C2311yescharacteristic, complemented
455#14273649C2311yescharacteristic
456#14273649C2311yescharacteristic
457#14273648C2311yescharacteristic
458#14273648C2311yescharacteristic
459#14273647C2311yescharacteristic
460#14273647C2311yescharacteristic
461C22⋊(C59⋊C8)C2311yescharacteristic
462C22⋊(C59⋊C8)C2311yescharacteristic, complemented
463(C2×D59)⋊C8C2311yescharacteristic
464(C2×D59)⋊C8C2311yescharacteristic
465(C2×D59)⋊C8C2311yescharacteristic, complemented
466(C2×D59)⋊C8C2311yescharacteristic, complemented
467#14273638C2311yescharacteristic, complemented
468#14273637C2311yescharacteristic, complemented
469#14273637C2311yescharacteristic, complemented
470C2×#41×C59C2311yescharacteristic
471C22×Q8×C59C2311yescharacteristic
472C22×Q8×C59C2311yescharacteristic, complemented
473C22×D4×C59C2311yescharacteristic
474#137×C59—24no—
475C2×Q16×C59C2311yescharacteristic, complemented
476C2×Q16×C59C2311yescharacteristic, complemented
477C2×Q16×C59C2311yescharacteristic, complemented
478C2×SD16×C59—24no—
479C2×SD16×C59C2311yescharacteristic
480C2×SD16×C59C2311yescharacteristic
481C2×SD16×C59C2311yescharacteristic
482C2×SD16×C59C2311yescharacteristic
483C2×SD16×C59C2311yescharacteristic
484C2×SD16×C59C2311yescharacteristic
485C2×M16×C59C2311yescharacteristic, complemented
486C22×C8×C59C2311yescharacteristic
487C4⋊Q8×C59—21no—
488C4⋊Q8×C59C2311yescharacteristic, complemented
489#124×C59C2311yescharacteristic
490#123×C59—21no—
491C22⋊Q8×C59—21no—
492C22⋊Q8×C59—21no—
493C22⋊Q8×C59C2311yescharacteristic
494C22⋊Q8×C59C2311yescharacteristic
495C22⋊Q8×C59C2311yescharacteristic, complemented
496#121×C59—21no—
497#121×C59C2311yescharacteristic
498#120×C59—21no—
499C4×Q8×C59C2311yescharacteristic, complemented
500C4×D4×C59—21no—
501C4×D4×C59C2311yescharacteristic
502C4×D4×C59C2311yescharacteristic
503C2×C22⋊C4×C59—21no—
504#107×C59C2311yescharacteristic, complemented
505C4⋊C8×C59C2311yescharacteristic, complemented
506#103×C59C2311yescharacteristic, complemented
507#103×C59C2311yescharacteristic, complemented
508#103×C59C2311yescharacteristic, complemented
509#103×C59C2311yescharacteristic, complemented
510#102×C59C2311yescharacteristic
511#102×C59C2311yescharacteristic
512C22⋊C8×C59C2311yescharacteristic
513C22⋊C8×C59C2311yescharacteristic, complemented
514#97×C59C2311yescharacteristic, complemented
515C24×C59—21no—
516C23×D59—21no—
517C23×D59—21no—
518C23×D59—21no—
519C23×D59—21no—
520C23×D59—21no—
521C23×D59—44no—
522C23×D59—44no—
523C23×D59—82no—
524C23×D59C2×D411yescharacteristic
525C23×D59C2×D411yescharacteristic
526#41×C59—22no—
527#41×C59—41no—
528C2×Q8×C59—21no—
529C2×Q8×C59—21no—
530C2×Q8×C59—22no—
531C2×Q8×C59—22no—
532C2×Q8×C59—41no—
533C2×Q8×C59—41no—
534C2×Q8×C59C2411yescharacteristic
535C2×Q8×C59C2411yescharacteristic
536C2×Q8×C59C2411yescharacteristic
537C2×Q8×C59C2411yescharacteristic
538C2×D4×C59—22no—
539C2×D4×C59—21no—
540C2×D4×C59—21no—
541C2×D4×C59—21no—
542C2×D4×C59—41no—
543C2×D4×C59C2×D411yescharacteristic
544C2×D4×C59C2411yescharacteristic
545C2×D4×C59C2411yescharacteristic
546C22×C4×C59—21no—
547C22×C4×C59—21no—
548C22×C4×C59—21no—
549C22×C4×C59—21no—
550C22×C4×C59C2411yescharacteristic
551C22×C4×C59C2411yescharacteristic
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⋊D59—21no—
560C2×C22⋊D59—44no—
561C2×C22⋊D59C2×D411yescharacteristic
562C2×C22⋊D59C2×D411yescharacteristic
563C22×Dic59—21no—
564C22×Dic59—21no—
565C22×Dic59—21no—
566C22×Dic59—21no—
567C22×Dic59C2×D411yescharacteristic
568C22×Dic59C2×D411yescharacteristic
569#11745689—22no—
570#11745689—41no—
571Q8×D59—22no—
572Q8×D59—22no—
573Q8×D59—22no—
574Q8×D59—22no—
575Q8×D59—22no—
576Q8×D59—22no—
577Q8×D59—22no—
578Q8×D59—22no—
579Q8×D59—22no—
580Q8×D59—22no—
581Q8×D59—22no—
582Q8×D59—41no—
583Q8×D59—41no—
584Q8×D59—41no—
585Q8×D59—41no—
586Q8×D59—44no—
587Q8×D59—44no—
588Q8×D59—44no—
589Q8×D59—44no—
590Q8×D59C2×D414yes—
591#11745687—22no—
592#11745687—41no—
593#11745687—44no—
594D4×D59—24no—
595D4×D59—22no—
596D4×D59—22no—
597D4×D59—22no—
598D4×D59—22no—
599D4×D59—22no—
600D4×D59—41no—
601D4×D59—41no—
602D4×D59—44no—
603D4×D59—44no—
604D4×D59—44no—
605D4×D59—82no—
606D4×D59C2×D414yes—
607#11745685—22no—
608#11745685—41no—
609#11745685—44no—
610C2×D236—22no—
611C2×D236—21no—
612C2×D236—21no—
613C2×D236—21no—
614C2×D236—41no—
615C2×D236C2×D411yescharacteristic
616C2×D236C2411yescharacteristic
617C2×D236C2411yescharacteristic
618C2×C4×D59—21no—
619C2×C4×D59—22no—
620C2×C4×D59—22no—
621C2×C4×D59—22no—
622C2×C4×D59—22no—
623C2×C4×D59—21no—
624C2×C4×D59—21no—
625C2×C4×D59—21no—
626C2×C4×D59—21no—
627C2×C4×D59—21no—
628C2×C4×D59—21no—
629C2×C4×D59—21no—
630C2×C4×D59—21no—
631C2×C4×D59—21no—
632C2×C4×D59—21no—
633C2×C4×D59—21no—
634C2×C4×D59—21no—
635C2×C4×D59—21no—
636C2×C4×D59—44no—
637C2×C4×D59—44no—
638C2×C4×D59—44no—
639C2×C4×D59—82no—
640C2×C4×D59C2×D411yescharacteristic
641C2×C4×D59C2×D411yescharacteristic
642C2×C4×D59C2×D411yescharacteristic
643C2×C4×D59C2×D411yescharacteristic
644C2×C4×D59C2×D411yescharacteristic
645C2×C4×D59C2×D411yescharacteristic
646C2×C4×D59C2411yescharacteristic
647C2×C4×D59C2411yescharacteristic
648C2×C4×D59C2411yescharacteristic
649C2×Dic118—21no—
650C2×Dic118—22no—
651C2×Dic118—22no—
652C2×Dic118—21no—
653C2×Dic118—21no—
654C2×Dic118—21no—
655C2×Dic118—21no—
656C2×Dic118—21no—
657C2×Dic118—21no—
658C2×Dic118—21no—
659C2×Dic118—21no—
660C2×Dic118—21no—
661C2×Dic118—41no—
662C2×Dic118—41no—
663C2×Dic118—44no—
664C2×Dic118—44no—
665C2×Dic118C2411yescharacteristic
666C2×Dic118C2411yescharacteristic
667C2×Dic118C2411yescharacteristic
668C2×Dic118C2411yescharacteristic
669Q16×C59—22no—
670Q16×C59—22no—
671Q16×C59—41no—
672SD16×C59—22no—
673SD16×C59—22no—
674SD16×C59—22no—
675SD16×C59—22no—
676SD16×C59—41no—
677SD16×C59C2×D414yescomplemented
678M16×C59—22no—
679C2×C8×C59—22no—
680C2×C8×C59C2411yescharacteristic
681C2×C8×C59C2411yescharacteristic
682C2×C8×C59C2411yescharacteristic
683C2×C8×C59C2411yescharacteristic
684C4⋊C4×C59—21no—
685C4⋊C4×C59—21no—
686C4⋊C4×C59—21no—
687C4⋊C4×C59—21no—
688C4⋊C4×C59—21no—
689C4⋊C4×C59—21no—
690C4⋊C4×C59C2×D411yescharacteristic
691C4⋊C4×C59C2411yescharacteristic
692C4⋊C4×C59C2411yescharacteristic
693C22⋊C4×C59—21no—
694C22⋊C4×C59—21no—
695C22⋊C4×C59—21no—
696C22⋊C4×C59—21no—
697C22⋊C4×C59—21no—
698C22⋊C4×C59—21no—
699C22⋊C4×C59—21no—
700C22⋊C4×C59C2×D411yescharacteristic
701C22⋊C4×C59C2×D411yescharacteristic
702C42×C59—21no—
703C42×C59C2411yescharacteristic
704C22⋊Dic59—21no—
705C22⋊Dic59—21no—
706C22⋊Dic59—21no—
707C22⋊Dic59—21no—
708C22⋊Dic59—21no—
709C22⋊Dic59—21no—
710C22⋊Dic59—21no—
711C22⋊Dic59C2×D411yescharacteristic
712C22⋊Dic59C2×D411yescharacteristic
713#11745672—22no—
714#11745672—22no—
715#11745672—22no—
716#11745672—22no—
717#11745672—41no—
718#11745672—41no—
719#11745671—22no—
720#11745671—22no—
721#11745671—22no—
722#11745671—22no—
723#11745671—41no—
724#11745671C2×D414yescomplemented
725#11745670—22no—
726#11745670—22no—
727#11745670—22no—
728#11745670—22no—
729#11745670—41no—
730#11745670C2×D414yescomplemented
731(C2×D59)⋊C4—21no—
732(C2×D59)⋊C4—21no—
733(C2×D59)⋊C4—21no—
734(C2×D59)⋊C4—21no—
735(C2×D59)⋊C4—21no—
736(C2×D59)⋊C4—21no—
737(C2×D59)⋊C4—21no—
738(C2×D59)⋊C4—21no—
739(C2×D59)⋊C4—21no—
740(C2×D59)⋊C4—21no—
741(C2×D59)⋊C4—21no—
742(C2×D59)⋊C4—21no—
743(C2×D59)⋊C4—21no—
744(C2×D59)⋊C4—21no—
745(C2×D59)⋊C4C2×D411yescharacteristic
746(C2×D59)⋊C4C2×D411yescharacteristic
747(C2×D59)⋊C4C2×D411yescharacteristic
748(C2×D59)⋊C4C2×D411yescharacteristic
749C4⋊Dic59—21no—
750C4⋊Dic59—21no—
751C4⋊Dic59—21no—
752C4⋊Dic59—21no—
753C4⋊Dic59—21no—
754C4⋊Dic59—21no—
755C4⋊Dic59C2×D411yescharacteristic
756C4⋊Dic59C2411yescharacteristic
757C4⋊Dic59C2411yescharacteristic
758Dic59⋊C4—21no—
759Dic59⋊C4—21no—
760Dic59⋊C4—21no—
761Dic59⋊C4—21no—
762Dic59⋊C4—21no—
763Dic59⋊C4—21no—
764Dic59⋊C4—21no—
765Dic59⋊C4—21no—
766Dic59⋊C4—21no—
767Dic59⋊C4—21no—
768Dic59⋊C4—21no—
769Dic59⋊C4—21no—
770Dic59⋊C4—21no—
771Dic59⋊C4—21no—
772Dic59⋊C4C2×D411yescharacteristic
773Dic59⋊C4C2×D411yescharacteristic
774C4×Dic59—21no—
775C4×Dic59—21no—
776C4×Dic59—21no—
777C4×Dic59C2×D411yescharacteristic
778C4×Dic59C2×D411yescharacteristic
779C4×Dic59C2411yescharacteristic
780#11745664—22no—
781C2×C59⋊C8—22no—
782C2×C59⋊C8C2411yescharacteristic
783C2×C59⋊C8C2411yescharacteristic
784C2×C59⋊C8C2411yescharacteristic
785C2×C59⋊C8C2411yescharacteristic
786Dic236—22no—
787Dic236—22no—
788Dic236—41no—
789#11745660—22no—
790#11745660—22no—
791#11745660—22no—
792#11745660—22no—
793#11745660—41no—
794#11745660C2×D414yescomplemented
795#11745659—22no—
796#11745659—22no—
797C8×D59—22no—
798C8×D59—22no—
799C8×D59—22no—
800C8×D59—22no—
801C8×D59—22no—
802C8×D59C2×D414yes—
803C23×C59—21no—
804C23×C59—21no—
805C23×C59—42no—
806C23×C59—42no—
807C23×C59—81no—
808C23×C59C22×D411yescharacteristic
809C23×C59C22×D411yescharacteristic
810C22×D59—22no—
811C22×D59—22no—
812C22×D59—21no—
813C22×D59—22no—
814C22×D59—24no—
815C22×D59—22no—
816C22×D59—22no—
817C22×D59—21no—
818C22×D59—42no—
819C22×D59—42no—
820C22×D59—42no—
821C22×D59—42no—
822C22×D59—42no—
823C22×D59—42no—
824C22×D59—42no—
825C22×D59—42no—
826C22×D59—42no—
827C22×D59—42no—
828C22×D59—42no—
829C22×D59—81no—
830C22×D59—81no—
831C22×D59—816no—
832C22×D59—81no—
833C22×D59#13714yescomplemented
834C22×D59C22×D411yescharacteristic
835C22×D59C22×D411yescharacteristic
836C22×D59C22×D411yescharacteristic
837Q8×C59—21no—
838Q8×C59—21no—
839Q8×C59—21no—
840Q8×C59—21no—
841Q8×C59—21no—
842Q8×C59—21no—
843Q8×C59—21no—
844Q8×C59—42no—
845Q8×C59—42no—
846Q8×C59C22×D412yes—
847D4×C59—22no—
848D4×C59—21no—
849D4×C59—21no—
850D4×C59—21no—
851D4×C59—42no—
852D4×C59—42no—
853D4×C59—81no—
854D4×C59C22×D412yes—
855C2×C4×C59—21no—
856C2×C4×C59—21no—
857C2×C4×C59—21no—
858C2×C4×C59—21no—
859C2×C4×C59—21no—
860C2×C4×C59—21no—
861C2×C4×C59—21no—
862C2×C4×C59—21no—
863C2×C4×C59—21no—
864C2×C4×C59—21no—
865C2×C4×C59—42no—
866C2×C4×C59—42no—
867C2×C4×C59—42no—
868C2×C4×C59—81no—
869C2×C4×C59C22×D411yescharacteristic
870C2×C4×C59C22×D411yescharacteristic
871C2×C4×C59C22×D411yescharacteristic
872C2×C4×C59C22×D411yescharacteristic
873C2×C4×C59C2511yescharacteristic
874C22⋊D59—22no—
875C22⋊D59—22no—
876C22⋊D59—24no—
877C22⋊D59—42no—
878C22⋊D59—42no—
879C22⋊D59—42no—
880C22⋊D59—42no—
881C22⋊D59—42no—
882C22⋊D59—81no—
883C22⋊D59—81no—
884C2×Dic59—21no—
885C2×Dic59—22no—
886C2×Dic59—22no—
887C2×Dic59—21no—
888C2×Dic59—21no—
889C2×Dic59—21no—
890C2×Dic59—21no—
891C2×Dic59—21no—
892C2×Dic59—42no—
893C2×Dic59—42no—
894C2×Dic59—42no—
895C2×Dic59—81no—
896C2×Dic59C22×D411yescharacteristic
897C2×Dic59C22×D411yescharacteristic
898C2×Dic59C22×D411yescharacteristic
899C2×Dic59C22×D411yescharacteristic
900C2×Dic59C22×D411yescharacteristic
901D236—22no—
902D236—21no—
903D236—21no—
904D236—21no—
905D236—42no—
906D236—42no—
907D236—81no—
908D236C22×D412yes—
909C4×D59—22no—
910C4×D59—22no—
911C4×D59—24no—
912C4×D59—22no—
913C4×D59—22no—
914C4×D59—21no—
915C4×D59—21no—
916C4×D59—21no—
917C4×D59—21no—
918C4×D59—22no—
919C4×D59—22no—
920C4×D59—42no—
921C4×D59—42no—
922C4×D59—42no—
923C4×D59—42no—
924C4×D59—42no—
925C4×D59—42no—
926C4×D59—42no—
927C4×D59—42no—
928C4×D59—42no—
929C4×D59—42no—
930C4×D59—42no—
931C4×D59—81no—
932C4×D59—81no—
933C4×D59C22×D412yes—
934C4×D59H(5,𝔽2)12yes—
935Dic118—21no—
936Dic118—24no—
937Dic118—21no—
938Dic118—21no—
939Dic118—21no—
940Dic118—21no—
941Dic118—21no—
942Dic118—21no—
943Dic118—42no—
944Dic118—42no—
945Dic118—42no—
946Dic118—42no—
947Dic118—42no—
948Dic118—42no—
949Dic118—42no—
950Dic118—42no—
951Dic118—42no—
952Dic118C22×D412yes—
953C8×C59—21no—
954C8×C59—21no—
955C8×C59—21no—
956C8×C59C22×D412yes—
957C59⋊C8—21no—
958C59⋊C8—21no—
959C59⋊C8—21no—
960C59⋊C8C22×D412yes—
961C2×#3266—591nomaximal, Sylow
962C22×C59—21no—
963C22×C59—21no—
964C22×C59—21no—
965C22×C59—22no—
966C22×C59—21no—
967C22×C59—21no—
968C22×C59—41no—
969C22×C59—41no—
970C22×C59—41no—
971C22×C59—41no—
972C22×C59—41no—
973C22×C59—84no—
974C22×C59C2×#13712yescomplemented
975C22×C59C23×D411yescharacteristic
976C2×D59—21no—
977C2×D59—21no—
978C2×D59—28no—
979C2×D59—21no—
980C2×D59—22no—
981C2×D59—21no—
982C2×D59—21no—
983C2×D59—41no—
984C2×D59—41no—
985C2×D59—44no—
986C2×D59—48no—
987C2×D59—41no—
988C2×D59—41no—
989C2×D59—41no—
990C2×D59—84no—
991C2×D59—84no—
992C2×D59—84no—
993C2×D59—84no—
994C2×D59D4212yes—
995C2×D59C2×#13712yes—
996C2×D59C2×#13712yescomplemented
997C2×D59#57712yes—
998C4×C59—22no—
999C4×C59—21no—
1000C4×C59—21no—
1001C4×C59—21no—
1002C4×C59—21no—
1003C4×C59—41no—
1004C4×C59—41no—
1005C4×C59—41no—
1006C4×C59—41no—
1007C4×C59—41no—
1008C4×C59C23×D411yescharacteristic
1009C4×C59C2×H(5,𝔽2)11yescharacteristic
1010Dic59—22no—
1011Dic59—21no—
1012Dic59—21no—
1013Dic59—21no—
1014Dic59—21no—
1015Dic59—41no—
1016Dic59—41no—
1017Dic59—41no—
1018Dic59—41no—
1019Dic59—41no—
1020Dic59D4212yes—
1021C22×#137—591no—
1022C23×SD16—591no—
1023C2×D4×Q8—591no—
1024C2×#546—591no—
1025#3266—591no—
1026#3266—591no—
1027#3266—591no—
1028#3266—591no—
1029#3266—591no—
1030#3266—591no—
1031#3266—591no—
1032#3266—591no—
1033#3266—591no—
1034#3266—591no—
1035#3266—591no—
1036#3266—591no—
1037#3266—591no—
1038#3266—591no—
1039#3266—591no—
1040#3266D5911yescharacteristic, direct product factor
1041C2×#497—591no—
1042C2×#468—591no—
1043C2×#467—591no—
1044C2×#464—591no—
1045C2×#461—591no—
1046C2×#452—591no—
1047C2×#451—591no—
1048C2×#448—591no—
1049C2×#450—591no—
1050C2×#440—591no—
1051C2×#435—591no—
1052C2×C59—22no—
1053C2×C59—42no—
1054C2×C59—41no—
1055C2×C59—81no—
1056C2×C59C2×D4211yescharacteristic
1057C2×C59C22×#13711yescharacteristic
1058C2×C59C2×#57711yescharacteristic
1059D59—22no—
1060D59—41no—
1061D59—42no—
1062D59—81no—
1063D59#326614yesdirect product factor
1064C22×#41—591no—
1065C23×Q8—591no—
1066C23×Q8—591no—
1067C23×D4—591no—
1068C2×#137—591no—
1069C2×#137—591no—
1070C2×#137—591no—
1071C2×#137—591no—
1072C2×#137—591no—
1073C2×#137—591no—
1074C2×#137—591no—
1075C2×#137—1188no—
1076C2×#137C2×D5911yescharacteristic, complemented
1077C22×Q16—591no—
1078C22×Q16—591no—
1079C22×Q16—591no—
1080C22×SD16—591no—
1081C22×SD16—591no—
1082C22×SD16—591no—
1083C22×SD16—591no—
1084C22×SD16—591no—
1085C22×SD16—591no—
1086C22×SD16—591no—
1087C22×SD16—591no—
1088C22×SD16—591no—
1089C22×SD16—591no—
1090C22×SD16—591no—
1091C22×SD16—591no—
1092C22×SD16—591no—
1093C22×SD16—1188no—
1094C22×SD16C2×D5911yescharacteristic, complemented
1095C22×M16—591no—
1096C23×C8—591no—
1097D4×Q8—591no—
1098D4×Q8—591no—
1099D4×Q8—591no—
1100D4×Q8—591no—
1101D4×Q8—591no—
1102D4×Q8—591no—
1103D4×Q8—591no—
1104D4×Q8—1181no—
1105D4×Q8—1181no—
1106D4×Q8—1181no—
1107D4×Q8—1181no—
1108D4×Q8C2×D5911yescharacteristic, complemented
1109#546—591no—
1110#546—591no—
1111#546—591no—
1112#546—591no—
1113#546—591no—
1114#546—591no—
1115#546—591no—
1116#546—1181no—
1117#546—1181no—
1118#546—1181no—
1119#546—1181no—
1120#546C2×D5911yescharacteristic
1121C2×C4⋊Q8—591no—
1122C2×C4⋊Q8—1181no—
1123C2×#124—591no—
1124C2×#123—1181no—
1125C2×C22⋊Q8—591no—
1126C2×C22⋊Q8—591no—
1127C2×C22⋊Q8—591no—
1128C2×C22⋊Q8—1181no—
1129C2×C22⋊Q8—1181no—
1130C2×#121—591no—
1131C2×#121—1181no—
1132C2×#120—1181no—
1133C2×C4×Q8—591no—
1134C2×C4×D4—591no—
1135C2×C4×D4—591no—
1136C2×C4×D4—1181no—
1137C22×C22⋊C4—1181no—
1138#497—591no—
1139#497—591no—
1140#497—591no—
1141#497—591no—
1142#497—591no—
1143#497—591no—
1144#497—591no—
1145#497C2×D5911yescharacteristic, complemented
1146#468—591no—
1147#468—591no—
1148#468—591no—
1149#468—591no—
1150#468—591no—
1151#468—591no—
1152#468—591no—
1153#468C2×D5911yescharacteristic, complemented
1154#467—591no—
1155#467—591no—
1156#467—591no—
1157#467—591no—
1158#467—591no—
1159#467—591no—
1160#467—591no—
1161#467C2×D5911yescharacteristic, complemented
1162#464—591no—
1163#464—591no—
1164#464—591no—
1165#464—591no—
1166#464—591no—
1167#464—591no—
1168#464—591no—
1169#464C2×D5911yescharacteristic, complemented
1170#461—591no—
1171#461—591no—
1172#461—591no—
1173#461—591no—
1174#461—591no—
1175#461—591no—
1176#461—591no—
1177#461C2×D5911yescharacteristic, complemented
1178#452—591no—
1179#452—591no—
1180#452—591no—
1181#452—591no—
1182#452—591no—
1183#452—591no—
1184#452—591no—
1185#452C2×D5911yescharacteristic, complemented
1186#451—591no—
1187#451—591no—
1188#451—591no—
1189#451—591no—
1190#451—591no—
1191#451—591no—
1192#451—591no—
1193#451C2×D5911yescharacteristic, complemented
1194#450—591no—
1195#450—591no—
1196#450—591no—
1197#450—591no—
1198#450—591no—
1199#450—591no—
1200#450—591no—
1201#450C2×D5911yescharacteristic, complemented
1202#448—591no—
1203#448—591no—
1204#448—591no—
1205#448—591no—
1206#448—591no—
1207#448—591no—
1208#448—591no—
1209#448C2×D5911yescharacteristic, complemented
1210#440—591no—
1211#440—591no—
1212#440—591no—
1213#440—591no—
1214#440—591no—
1215#440—591no—
1216#440—591no—
1217#440C2×D5911yescharacteristic, complemented
1218#435—591no—
1219#435—591no—
1220#435—591no—
1221#435—591no—
1222#435—591no—
1223#435—591no—
1224#435—591no—
1225#435C2×D5911yescharacteristic, complemented
1226C2×#107—591no—
1227C2×C4⋊C8—591no—
1228C2×#103—591no—
1229C2×#103—591no—
1230C2×#103—591no—
1231C2×#103—591no—
1232C2×#102—591no—
1233C2×#102—591no—
1234C2×C22⋊C8—591no—
1235C2×C22⋊C8—591no—
1236C2×#97—591no—
1237C59C2×#326611yescharacteristic, complemented, Sylow
1238C25—1181no—
1239C2×#41—591no—
1240C2×#41—591no—
1241C2×#41—591no—
1242C2×#41—1181no—
1243C2×#41—1181no—
1244C2×#41—1184no—
1245C2×#41—2362no—
1246C2×#41C22×D5911yescharacteristic
1247C22×Q8—591no—
1248C22×Q8—591no—
1249C22×Q8—591no—
1250C22×Q8—591no—
1251C22×Q8—591no—
1252C22×Q8—591no—
1253C22×Q8—591no—
1254C22×Q8—591no—
1255C22×Q8—591no—
1256C22×Q8—591no—
1257C22×Q8—1181no—
1258C22×Q8—1181no—
1259C22×Q8—1181no—
1260C22×Q8—1181no—
1261C22×Q8—1181no—
1262C22×Q8—1181no—
1263C22×Q8—1184no—
1264C22×Q8—1184no—
1265C22×Q8—2362no—
1266C22×Q8—2362no—
1267C22×Q8C22×D5911yescharacteristic
1268C22×Q8C22×D5911yescharacteristic, complemented
1269C22×D4—591no—
1270C22×D4—591no—
1271C22×D4—591no—
1272C22×D4—591no—
1273C22×D4—591no—
1274C22×D4—591no—
1275C22×D4—1181no—
1276C22×D4—1181no—
1277C22×D4—1181no—
1278C22×D4—1184no—
1279C22×D4—1181no—
1280C22×D4—1181no—
1281C22×D4—2362no—
1282C22×D4C22×D5911yescharacteristic
1283C23×C4—591no—
1284C23×C4—591no—
1285C23×C4—1181no—
1286C23×C4—1181no—
1287C23×C4—1181no—
1288C23×C4—1181no—
1289#137—24no—
1290#137—1184no—
1291#137—1184no—
1292#137—1184no—
1293#137—1184no—
1294#137—1184no—
1295#137—1184no—
1296#137—1184no—
1297C2×Q16—591no—
1298C2×Q16—591no—
1299C2×Q16—591no—
1300C2×Q16—591no—
1301C2×Q16—591no—
1302C2×Q16—591no—
1303C2×Q16—591no—
1304C2×Q16—591no—
1305C2×Q16—591no—
1306C2×Q16—1184no—
1307C2×Q16—1184no—
1308C2×Q16—2362no—
1309C2×Q16C22×D5911yescharacteristic, complemented
1310C2×Q16C22×D5911yescharacteristic, complemented
1311C2×Q16C22×D5911yescharacteristic, complemented
1312C2×SD16—24no—
1313C2×SD16—591no—
1314C2×SD16—591no—
1315C2×SD16—598no—
1316C2×SD16—591no—
1317C2×SD16—591no—
1318C2×SD16—591no—
1319C2×SD16—591no—
1320C2×SD16—591no—
1321C2×SD16—591no—
1322C2×SD16—591no—
1323C2×SD16—591no—
1324C2×SD16—591no—
1325C2×SD16—591no—
1326C2×SD16—591no—
1327C2×SD16—591no—
1328C2×SD16—591no—
1329C2×SD16—591no—
1330C2×SD16—591no—
1331C2×SD16—591no—
1332C2×SD16—1184no—
1333C2×SD16—1184no—
1334C2×SD16—1184no—
1335C2×SD16—1184no—
1336C2×SD16—1184no—
1337C2×SD16—1184no—
1338C2×SD16—1184no—
1339C2×SD16—1184no—
1340C2×SD16—1184no—
1341C2×SD16—1184no—
1342C2×SD16—1184no—
1343C2×SD16—2362no—
1344C2×SD16C22×D5911yescharacteristic
1345C2×SD16C22×D5911yescharacteristic
1346C2×SD16C22×D5911yescharacteristic
1347C2×SD16C22×D5911yescharacteristic
1348C2×SD16C22×D5911yescharacteristic
1349C2×SD16C22×D5911yescharacteristic
1350C2×M16—591no—
1351C2×M16—591no—
1352C2×M16—591no—
1353C2×M16—1184no—
1354C2×M16C22×D5911yescharacteristic, complemented
1355C22×C8—591no—
1356C22×C8—591no—
1357C22×C8—591no—
1358C22×C8—591no—
1359C22×C8—591no—
1360C22×C8—591no—
1361C22×C8—591no—
1362C22×C8—1184no—
1363C22×C8C22×D5911yescharacteristic
1364C4⋊Q8—21no—
1365C4⋊Q8—591no—
1366C4⋊Q8—591no—
1367C4⋊Q8—591no—
1368C4⋊Q8—1181no—
1369C4⋊Q8—1181no—
1370C4⋊Q8—1181no—
1371C4⋊Q8—1181no—
1372C4⋊Q8—1181no—
1373C4⋊Q8—1181no—
1374C4⋊Q8—1181no—
1375C4⋊Q8—1181no—
1376C4⋊Q8—1181no—
1377C4⋊Q8C22×D5911yescharacteristic, complemented
1378#124—591no—
1379#124—591no—
1380#124—591no—
1381#124—1181no—
1382#124—1181no—
1383#124C22×D5911yescharacteristic
1384#123—21no—
1385#123—1181no—
1386#123—1181no—
1387#123—1181no—
1388#123—1181no—
1389#123—1181no—
1390#123—1181no—
1391#123—1181no—
1392C22⋊Q8—21no—
1393C22⋊Q8—21no—
1394C22⋊Q8—591no—
1395C22⋊Q8—591no—
1396C22⋊Q8—591no—
1397C22⋊Q8—591no—
1398C22⋊Q8—591no—
1399C22⋊Q8—591no—
1400C22⋊Q8—591no—
1401C22⋊Q8—591no—
1402C22⋊Q8—591no—
1403C22⋊Q8—1181no—
1404C22⋊Q8—1181no—
1405C22⋊Q8—1181no—
1406C22⋊Q8—1181no—
1407C22⋊Q8—1181no—
1408C22⋊Q8—1181no—
1409C22⋊Q8—1181no—
1410C22⋊Q8—1181no—
1411C22⋊Q8—1181no—
1412C22⋊Q8—1181no—
1413C22⋊Q8—1181no—
1414C22⋊Q8—1181no—
1415C22⋊Q8—1181no—
1416C22⋊Q8—1181no—
1417C22⋊Q8—1181no—
1418C22⋊Q8—1181no—
1419C22⋊Q8—1181no—
1420C22⋊Q8—1181no—
1421C22⋊Q8—1181no—
1422C22⋊Q8—1181no—
1423C22⋊Q8C22×D5911yescharacteristic
1424C22⋊Q8C22×D5911yescharacteristic
1425C22⋊Q8C22×D5911yescharacteristic, complemented
1426#121—21no—
1427#121—591no—
1428#121—591no—
1429#121—591no—
1430#121—1181no—
1431#121—1181no—
1432#121—1181no—
1433#121—1181no—
1434#121—1181no—
1435#121—1181no—
1436#121—1181no—
1437#121—1181no—
1438#121—1181no—
1439#121C22×D5911yescharacteristic
1440#120—21no—
1441#120—1181no—
1442#120—1181no—
1443#120—1181no—
1444#120—1181no—
1445#120—1181no—
1446#120—1181no—
1447#120—1181no—
1448C4×Q8—591no—
1449C4×Q8—591no—
1450C4×Q8—591no—
1451C4×Q8—1181no—
1452C4×Q8—1181no—
1453C4×Q8C22×D5911yescharacteristic, complemented
1454C4×D4—21no—
1455C4×D4—591no—
1456C4×D4—591no—
1457C4×D4—591no—
1458C4×D4—591no—
1459C4×D4—591no—
1460C4×D4—591no—
1461C4×D4—591no—
1462C4×D4—591no—
1463C4×D4—591no—
1464C4×D4—591no—
1465C4×D4—1181no—
1466C4×D4—1181no—
1467C4×D4—1181no—
1468C4×D4—1181no—
1469C4×D4—1181no—
1470C4×D4—1181no—
1471C4×D4—1181no—
1472C4×D4—1181no—
1473C4×D4—1181no—
1474C4×D4C22×D5911yescharacteristic
1475C4×D4C22×D5911yescharacteristic
1476C2×C4⋊C4—591no—
1477C2×C4⋊C4—591no—
1478C2×C4⋊C4—591no—
1479C2×C4⋊C4—1181no—
1480C2×C4⋊C4—1181no—
1481C2×C4⋊C4—1181no—
1482C2×C4⋊C4—1181no—
1483C2×C4⋊C4—1181no—
1484C2×C4⋊C4—1181no—
1485C2×C22⋊C4—21no—
1486C2×C22⋊C4—591no—
1487C2×C22⋊C4—591no—
1488C2×C22⋊C4—1181no—
1489C2×C22⋊C4—1181no—
1490C2×C22⋊C4—1181no—
1491C2×C22⋊C4—1181no—
1492C2×C22⋊C4—1181no—
1493C2×C22⋊C4—1181no—
1494C2×C22⋊C4—1181no—
1495C2×C22⋊C4—1181no—
1496C2×C22⋊C4—1181no—
1497C2×C22⋊C4—1181no—
1498C2×C22⋊C4—1181no—
1499C2×C22⋊C4—1181no—
1500C2×C22⋊C4—1181no—
1501C2×C22⋊C4—1181no—
1502C2×C42—591no—
1503C2×C42—1181no—
1504#107—591no—
1505#107—591no—
1506#107—591no—
1507#107C22×D5911yescharacteristic, complemented
1508C4⋊C8—591no—
1509C4⋊C8—591no—
1510C4⋊C8—591no—
1511C4⋊C8C22×D5911yescharacteristic, complemented
1512#103—591no—
1513#103—591no—
1514#103—591no—
1515#103—591no—
1516#103—591no—
1517#103—591no—
1518#103—591no—
1519#103—591no—
1520#103—591no—
1521#103—591no—
1522#103—591no—
1523#103—591no—
1524#103C22×D5911yescharacteristic, complemented
1525#103C22×D5911yescharacteristic, complemented
1526#103C22×D5911yescharacteristic, complemented
1527#103C22×D5911yescharacteristic, complemented
1528#102—591no—
1529#102—591no—
1530#102—591no—
1531#102—591no—
1532#102—591no—
1533#102—591no—
1534#102C22×D5911yescharacteristic
1535#102C22×D5911yescharacteristic
1536C22⋊C8—591no—
1537C22⋊C8—591no—
1538C22⋊C8—591no—
1539C22⋊C8—591no—
1540C22⋊C8—591no—
1541C22⋊C8—591no—
1542C22⋊C8C22×D5911yescharacteristic
1543C22⋊C8C22×D5911yescharacteristic, complemented
1544#97—591no—
1545#97—591no—
1546#97—591no—
1547#97C22×D5911yescharacteristic, complemented
1548C24—21no—
1549C24—591no—
1550C24—591no—
1551C24—1181no—
1552C24—1181no—
1553C24—1181no—
1554C24—1181no—
1555C24—1181no—
1556C24—4722no—
1557C24—2364no—
1558C24—2364no—
1559#41—22no—
1560#41—41no—
1561#41—1182no—
1562#41—1182no—
1563#41—1182no—
1564#41—2361no—
1565#41—2364no—
1566#41—2361no—
1567#41—2364no—
1568#41—2361no—
1569C2×Q8—21no—
1570C2×Q8—21no—
1571C2×Q8—22no—
1572C2×Q8—22no—
1573C2×Q8—41no—
1574C2×Q8—41no—
1575C2×Q8—594no—
1576C2×Q8—591no—
1577C2×Q8—591no—
1578C2×Q8—591no—
1579C2×Q8—591no—
1580C2×Q8—1181no—
1581C2×Q8—1181no—
1582C2×Q8—1181no—
1583C2×Q8—1181no—
1584C2×Q8—1181no—
1585C2×Q8—1181no—
1586C2×Q8—1181no—
1587C2×Q8—1181no—
1588C2×Q8—1182no—
1589C2×Q8—1182no—
1590C2×Q8—1182no—
1591C2×Q8—1182no—
1592C2×Q8—1182no—
1593C2×Q8—1182no—
1594C2×Q8—1182no—
1595C2×Q8—1182no—
1596C2×Q8—1182no—
1597C2×Q8—1181no—
1598C2×Q8—1181no—
1599C2×Q8—1182no—
1600C2×Q8—1182no—
1601C2×Q8—1182no—
1602C2×Q8—1182no—
1603C2×Q8—2361no—
1604C2×Q8—2361no—
1605C2×Q8—2364no—
1606C2×Q8—2364no—
1607C2×Q8—2364no—
1608C2×Q8—2364no—
1609C2×Q8—2361no—
1610C2×Q8—2361no—
1611C2×Q8—2361no—
1612C2×Q8—2361no—
1613C2×Q8—2364no—
1614C2×Q8—2364no—
1615C2×Q8C23×D5911yescharacteristic
1616C2×Q8C23×D5911yescharacteristic
1617C2×Q8C23×D5911yescharacteristic
1618C2×Q8C23×D5911yescharacteristic
1619C2×D4—22no—
1620C2×D4—21no—
1621C2×D4—21no—
1622C2×D4—21no—
1623C2×D4—41no—
1624C2×D4—594no—
1625C2×D4—591no—
1626C2×D4—591no—
1627C2×D4—591no—
1628C2×D4—591no—
1629C2×D4—591no—
1630C2×D4—1182no—
1631C2×D4—1181no—
1632C2×D4—1181no—
1633C2×D4—1182no—
1634C2×D4—1182no—
1635C2×D4—1182no—
1636C2×D4—1181no—
1637C2×D4—1181no—
1638C2×D4—1181no—
1639C2×D4—1181no—
1640C2×D4—1182no—
1641C2×D4—1184no—
1642C2×D4—1182no—
1643C2×D4—1181no—
1644C2×D4—1181no—
1645C2×D4—1181no—
1646C2×D4—1181no—
1647C2×D4—1181no—
1648C2×D4—4722no—
1649C2×D4—2361no—
1650C2×D4—2361no—
1651C2×D4—2361no—
1652C2×D4—2364no—
1653C2×D4—2364no—
1654C2×D4—2364no—
1655C2×D4—2364no—
1656C2×D4D4×D5911yescharacteristic
1657C2×D4C23×D5911yescharacteristic
1658C2×D4C23×D5911yescharacteristic
1659C22×C4—21no—
1660C22×C4—21no—
1661C22×C4—21no—
1662C22×C4—21no—
1663C22×C4—591no—
1664C22×C4—591no—
1665C22×C4—591no—
1666C22×C4—591no—
1667C22×C4—591no—
1668C22×C4—591no—
1669C22×C4—591no—
1670C22×C4—591no—
1671C22×C4—591no—
1672C22×C4—591no—
1673C22×C4—591no—
1674C22×C4—1182no—
1675C22×C4—1182no—
1676C22×C4—1182no—
1677C22×C4—1182no—
1678C22×C4—1181no—
1679C22×C4—1181no—
1680C22×C4—1181no—
1681C22×C4—1181no—
1682C22×C4—1181no—
1683C22×C4—1181no—
1684C22×C4—1181no—
1685C22×C4—1181no—
1686C22×C4—1181no—
1687C22×C4—1181no—
1688C22×C4—1181no—
1689C22×C4—1181no—
1690C22×C4—1181no—
1691C22×C4—1181no—
1692C22×C4—1181no—
1693C22×C4—1181no—
1694C22×C4—1181no—
1695C22×C4—1181no—
1696C22×C4—4722no—
1697C22×C4—2364no—
1698C22×C4—2364no—
1699C22×C4—2364no—
1700C22×C4C23×D5911yescharacteristic
1701C22×C4C23×D5911yescharacteristic
1702Q16—22no—
1703Q16—22no—
1704Q16—41no—
1705Q16—1182no—
1706Q16—1182no—
1707Q16—1182no—
1708Q16—1182no—
1709Q16—1182no—
1710Q16—1182no—
1711Q16—2361no—
1712Q16—2361no—
1713Q16—2361no—
1714SD16—22no—
1715SD16—22no—
1716SD16—22no—
1717SD16—22no—
1718SD16—41no—
1719SD16—594no—
1720SD16—594no—
1721SD16—594no—
1722SD16—1182no—
1723SD16—1182no—
1724SD16—1182no—
1725SD16—1182no—
1726SD16—1182no—
1727SD16—1182no—
1728SD16—1182no—
1729SD16—1182no—
1730SD16—1182no—
1731SD16—1182no—
1732SD16—1182no—
1733SD16—1182no—
1734SD16—2361no—
1735SD16—2361no—
1736SD16—2361no—
1737SD16D4×D5914yescomplemented
1738M16—22no—
1739M16—1182no—
1740M16—1182no—
1741M16—1182no—
1742C2×C8—22no—
1743C2×C8—591no—
1744C2×C8—594no—
1745C2×C8—591no—
1746C2×C8—591no—
1747C2×C8—591no—
1748C2×C8—1182no—
1749C2×C8—1182no—
1750C2×C8—1182no—
1751C2×C8—1182no—
1752C2×C8—1182no—
1753C2×C8—1182no—
1754C2×C8C23×D5911yescharacteristic
1755C2×C8C23×D5911yescharacteristic
1756C2×C8C23×D5911yescharacteristic
1757C2×C8C23×D5911yescharacteristic
1758C4⋊C4—21no—
1759C4⋊C4—21no—
1760C4⋊C4—21no—
1761C4⋊C4—21no—
1762C4⋊C4—21no—
1763C4⋊C4—21no—
1764C4⋊C4—591no—
1765C4⋊C4—591no—
1766C4⋊C4—591no—
1767C4⋊C4—591no—
1768C4⋊C4—591no—
1769C4⋊C4—1181no—
1770C4⋊C4—1181no—
1771C4⋊C4—1181no—
1772C4⋊C4—1181no—
1773C4⋊C4—1181no—
1774C4⋊C4—1181no—
1775C4⋊C4—1181no—
1776C4⋊C4—1181no—
1777C4⋊C4—1181no—
1778C4⋊C4—1181no—
1779C4⋊C4—1181no—
1780C4⋊C4—1181no—
1781C4⋊C4—1181no—
1782C4⋊C4—1181no—
1783C4⋊C4—1181no—
1784C4⋊C4—1181no—
1785C4⋊C4—1181no—
1786C4⋊C4—1181no—
1787C4⋊C4—1181no—
1788C4⋊C4—1181no—
1789C4⋊C4D4×D5911yescharacteristic
1790C4⋊C4C23×D5911yescharacteristic
1791C4⋊C4C23×D5911yescharacteristic
1792C22⋊C4—21no—
1793C22⋊C4—21no—
1794C22⋊C4—21no—
1795C22⋊C4—21no—
1796C22⋊C4—21no—
1797C22⋊C4—21no—
1798C22⋊C4—21no—
1799C22⋊C4—591no—
1800C22⋊C4—591no—
1801C22⋊C4—591no—
1802C22⋊C4—591no—
1803C22⋊C4—591no—
1804C22⋊C4—591no—
1805C22⋊C4—1181no—
1806C22⋊C4—1181no—
1807C22⋊C4—1181no—
1808C22⋊C4—1181no—
1809C22⋊C4—1181no—
1810C22⋊C4—1181no—
1811C22⋊C4—1181no—
1812C22⋊C4—1181no—
1813C22⋊C4—1181no—
1814C22⋊C4—1181no—
1815C22⋊C4—1181no—
1816C22⋊C4—1181no—
1817C22⋊C4—1181no—
1818C22⋊C4—1181no—
1819C22⋊C4—1181no—
1820C22⋊C4—1181no—
1821C22⋊C4—1181no—
1822C22⋊C4—1181no—
1823C22⋊C4—1181no—
1824C22⋊C4—1181no—
1825C22⋊C4—1181no—
1826C22⋊C4D4×D5911yescharacteristic
1827C22⋊C4D4×D5911yescharacteristic
1828C42—21no—
1829C42—591no—
1830C42—591no—
1831C42—591no—
1832C42—1181no—
1833C42—1181no—
1834C42—1181no—
1835C42C23×D5911yescharacteristic
1836C23—21no—
1837C23—21no—
1838C23—42no—
1839C23—42no—
1840C23—81no—
1841C23—591no—
1842C23—594no—
1843C23—591no—
1844C23—591no—
1845C23—1182no—
1846C23—1182no—
1847C23—1182no—
1848C23—1184no—
1849C23—1182no—
1850C23—1182no—
1851C23—1181no—
1852C23—1181no—
1853C23—4721no—
1854C23—4721no—
1855C23—4721no—
1856C23—47216no—
1857C23—2362no—
1858C23—2362no—
1859C23—2362no—
1860C23—2362no—
1861C23—2362no—
1862C23—2362no—
1863C23—2362no—
1864C23—2362no—
1865C23—2362no—
1866C23—2362no—
1867C23—2362no—
1868C23C2×D4×D5911yescharacteristic
1869C23C2×D4×D5911yescharacteristic
1870Q8—21no—
1871Q8—21no—
1872Q8—21no—
1873Q8—21no—
1874Q8—21no—
1875Q8—21no—
1876Q8—21no—
1877Q8—42no—
1878Q8—42no—
1879Q8—592no—
1880Q8—1184no—
1881Q8—1181no—
1882Q8—1181no—
1883Q8—1181no—
1884Q8—1181no—
1885Q8—1181no—
1886Q8—1181no—
1887Q8—1181no—
1888Q8—2362no—
1889Q8—2362no—
1890Q8—2362no—
1891Q8—2362no—
1892Q8—2362no—
1893Q8—2362no—
1894Q8—2362no—
1895Q8—2362no—
1896Q8—2362no—
1897Q8C2×D4×D5912yes—
1898D4—22no—
1899D4—21no—
1900D4—21no—
1901D4—21no—
1902D4—42no—
1903D4—42no—
1904D4—81no—
1905D4—592no—
1906D4—1182no—
1907D4—1184no—
1908D4—1182no—
1909D4—1182no—
1910D4—1181no—
1911D4—1181no—
1912D4—1181no—
1913D4—4721no—
1914D4—4721no—
1915D4—4721no—
1916D4—2362no—
1917D4—2362no—
1918D4—2362no—
1919D4—2362no—
1920D4—2362no—
1921D4—2362no—
1922D4—2362no—
1923D4C2×D4×D5912yes—
1924C2×C4—21no—
1925C2×C4—21no—
1926C2×C4—21no—
1927C2×C4—21no—
1928C2×C4—21no—
1929C2×C4—21no—
1930C2×C4—21no—
1931C2×C4—21no—
1932C2×C4—21no—
1933C2×C4—21no—
1934C2×C4—42no—
1935C2×C4—42no—
1936C2×C4—42no—
1937C2×C4—81no—
1938C2×C4—591no—
1939C2×C4—592no—
1940C2×C4—592no—
1941C2×C4—591no—
1942C2×C4—591no—
1943C2×C4—591no—
1944C2×C4—591no—
1945C2×C4—1182no—
1946C2×C4—1182no—
1947C2×C4—1182no—
1948C2×C4—1182no—
1949C2×C4—1182no—
1950C2×C4—1182no—
1951C2×C4—1184no—
1952C2×C4—1182no—
1953C2×C4—1182no—
1954C2×C4—1181no—
1955C2×C4—1181no—
1956C2×C4—1181no—
1957C2×C4—1181no—
1958C2×C4—1181no—
1959C2×C4—1181no—
1960C2×C4—1181no—
1961C2×C4—1181no—
1962C2×C4—1181no—
1963C2×C4—1181no—
1964C2×C4—4721no—
1965C2×C4—4721no—
1966C2×C4—4721no—
1967C2×C4—2362no—
1968C2×C4—2362no—
1969C2×C4—2362no—
1970C2×C4—2362no—
1971C2×C4—2362no—
1972C2×C4—2362no—
1973C2×C4—2362no—
1974C2×C4—2362no—
1975C2×C4—2362no—
1976C2×C4—2362no—
1977C2×C4—2362no—
1978C2×C4—2362no—
1979C2×C4—2362no—
1980C2×C4—2362no—
1981C2×C4C2×D4×D5911yescharacteristic
1982C2×C4C2×D4×D5911yescharacteristic
1983C2×C4C2×D4×D5911yescharacteristic
1984C2×C4C2×D4×D5911yescharacteristic
1985C2×C4C24×D5911yescharacteristic
1986C8—21no—
1987C8—21no—
1988C8—21no—
1989C8—592no—
1990C8—1181no—
1991C8—1181no—
1992C8—1181no—
1993C8C2×D4×D5912yes—
1994C22—21no—
1995C22—21no—
1996C22—21no—
1997C22—22no—
1998C22—21no—
1999C22—21no—
2000C22—41no—
2001C22—41no—
2002C22—41no—
2003C22—41no—
2004C22—41no—
2005C22—84no—
2006C22—592no—
2007C22—592no—
2008C22—592no—
2009C22—592no—
2010C22—1188no—
2011C22—1181no—
2012C22—1181no—
2013C22—1181no—
2014C22—1182no—
2015C22—1181no—
2016C22—1181no—
2017C22—4724no—
2018C22—4724no—
2019C22—4724no—
2020C22—4724no—
2021C22—2364no—
2022C22—2368no—
2023C22—2361no—
2024C22—2361no—
2025C22—2361no—
2026C22—2361no—
2027C22—2361no—
2028C22#137×D5912yescomplemented
2029C22C22×D4×D5911yescharacteristic
2030C4—21no—
2031C4—21no—
2032C4—22no—
2033C4—21no—
2034C4—21no—
2035C4—41no—
2036C4—41no—
2037C4—41no—
2038C4—41no—
2039C4—41no—
2040C4—592no—
2041C4—1181no—
2042C4—1181no—
2043C4—1182no—
2044C4—1181no—
2045C4—1181no—
2046C4—2361no—
2047C4—2361no—
2048C4—2361no—
2049C4—2361no—
2050C4—2361no—
2051C4C22×D4×D5911yescharacteristic
2052C4H(5,𝔽2)×D5911yescharacteristic
2053C2—22no—
2054C2—41no—
2055C2—42no—
2056C2—81no—
2057C2—594no—
2058C2—1182no—
2059C2—4721no—
2060C2—2361no—
2061C2—2362no—
2062C2D42×D5911yescharacteristic
2063C2C2×#137×D5911yescharacteristic
2064C2#577×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3266C2
socleC22×C59C23×D4
prime radical#546×D59C2
hypercenter#3266D59
hypocenterC59C2×#3266
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3266

Complements

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

NH ≅ G/Ntype
1. C2×#137×D59C2semidirect
2. C22×SD16×D59C2semidirect
3. D4×Q8×D59C2semidirect
5. #21435613C2semidirect
6. #21435612C2semidirect
7. #21435611C2semidirect
8. #21435610C2semidirect
9. #21435609C2semidirect
10. #21435608C2semidirect
11. #21435607C2semidirect
12. #21435606C2semidirect
13. #21435605C2semidirect
14. #21435604C2semidirect
15. #21435603C2semidirect
16. #21435602C2semidirect
17. #21435601C2semidirect
18. #21435600C2semidirect
19. #21435599C2semidirect
20. #497×D59C2semidirect
21. #468×D59C2semidirect
22. #467×D59C2semidirect
23. #464×D59C2semidirect
24. #461×D59C2semidirect
25. #452×D59C2semidirect
26. #451×D59C2semidirect
27. #448×D59C2semidirect
28. #450×D59C2semidirect
29. #440×D59C2semidirect
30. #435×D59C2semidirect
31. C59×#3266C2semidirect
34. C22×Q8×D59C22semidirect
36. C2×#14273760C22semidirect
37. C2×#14273759C22semidirect
38. C2×#14273759C22semidirect
39. C2×#14273758C22semidirect
40. C2×#14273757C22semidirect
41. C2×#14273756C22semidirect
42. C2×#14273756C22semidirect
44. C2×Q16×D59C22semidirect
45. C2×Q16×D59C22semidirect
46. C2×Q16×D59C22semidirect
47. C22×#11745660C22semidirect
48. C22×#11745670C22semidirect
49. C22×#11745671C22semidirect
57. C2×SD16×D59C22semidirect
58. C2×SD16×D59C22semidirect
59. C2×SD16×D59C22semidirect
60. C2×SD16×D59C22semidirect
61. C2×M16×D59C22semidirect
63. Q8×D236C22semidirect
65. D4×Dic118C22semidirect
67. #16838067C22semidirect
68. Q8×C22⋊D59C22semidirect
69. Q8×C22⋊D59C22semidirect
72. #16838065C22semidirect
73. #16838065C22semidirect
86. C4⋊Q8×D59C22semidirect
93. C22⋊Q8×D59C22semidirect
97. C4×Q8×D59C22semidirect
102. #16837797C22semidirect
103. #16837796C22semidirect
104. #16837795C22semidirect
105. #16837795C22semidirect
106. #16837794C22semidirect
107. #16837793C22semidirect
108. #16837793C22semidirect
109. #16837651C22semidirect
110. #16837650C22semidirect
111. #16837649C22semidirect
112. #16837648C22semidirect
113. #16837647C22semidirect
114. #16837646C22semidirect
115. #16837645C22semidirect
116. #16837644C22semidirect
117. #16837643C22semidirect
118. #16837642C22semidirect
119. #16837642C22semidirect
120. #16837641C22semidirect
121. #16837641C22semidirect
122. #16837640C22semidirect
123. #16837627C22semidirect
124. #16837626C22semidirect
125. #16837625C22semidirect
126. #16837624C22semidirect
127. #16837623C22semidirect
128. #16837622C22semidirect
129. #16837621C22semidirect
130. #16837608C22semidirect
131. #16837607C22semidirect
132. #16837606C22semidirect
133. #16837606C22semidirect
134. #16837605C22semidirect
135. #16837605C22semidirect
136. #16837604C22semidirect
137. #16837567C22semidirect
138. #16837566C22semidirect
139. #16837565C22semidirect
140. #16837564C22semidirect
141. #16837563C22semidirect
142. #16837562C22semidirect
143. #16837561C22semidirect
144. #16837560C22semidirect
145. #16837559C22semidirect
146. #16837559C22semidirect
147. #16837558C22semidirect
148. #16837557C22semidirect
149. #16837556C22semidirect
150. #16837556C22semidirect
151. #16837555C22semidirect
152. #16837554C22semidirect
153. #16837554C22semidirect
154. #16837553C22semidirect
155. #16837552C22semidirect
156. #16837551C22semidirect
157. #16837551C22semidirect
158. #16837543C22semidirect
159. #16837542C22semidirect
160. #16837542C22semidirect
161. #16837541C22semidirect
162. #16837540C22semidirect
163. #16837539C22semidirect
164. #16837539C22semidirect
165. #16837505C22semidirect
166. #16837504C22semidirect
167. #16837503C22semidirect
168. #16837502C22semidirect
169. #16837501C22semidirect
170. #16837500C22semidirect
171. #16837499C22semidirect
172. #16837476C22semidirect
173. #16837475C22semidirect
174. #16837474C22semidirect
175. #16837473C22semidirect
176. #16837472C22semidirect
177. #16837471C22semidirect
178. #16837470C22semidirect
179. #107×D59C22semidirect
180. C4⋊C8×D59C22semidirect
181. #103×D59C22semidirect
182. #103×D59C22semidirect
183. #103×D59C22semidirect
184. #103×D59C22semidirect
188. C22⋊C8×D59C22semidirect
189. #97×D59C22semidirect
190. C2×#137×C59C22semidirect
191. C22×SD16×C59C22semidirect
192. D4×Q8×C59C22semidirect
194. C59×#497C22semidirect
195. C59×#468C22semidirect
196. C59×#467C22semidirect
197. C59×#464C22semidirect
198. C59×#461C22semidirect
199. C59×#452C22semidirect
200. C59×#451C22semidirect
201. C59×#450C22semidirect
202. C59×#448C22semidirect
203. C59×#440C22semidirect
204. C59×#435C22semidirect
216. C22×Dic118C23semidirect
231. C2×Q8×D59C23semidirect
232. C2×Q8×D59C23semidirect
259. C2×Dic236C23semidirect
260. C2×Dic236C23semidirect
261. C2×Dic236C23semidirect
262. C2×#11745672C23semidirect
263. C2×#11745672C23semidirect
264. C2×#11745672C23semidirect
265. C2×#11745672C23semidirect
266. C2×#11745672C23semidirect
267. C2×#11745672C23semidirect
301. SD16×D59D4semidirect
302. C2×#11745664C23semidirect
303. C2×#11745659C23semidirect
304. C2×#11745659C23semidirect
315. #14273727C23semidirect
324. #14273725C23semidirect
325. #14273725C23semidirect
342. #14273707C23semidirect
347. #14273706C23semidirect
366. #14273703C23semidirect
386. Q8×Dic59C23semidirect
388. C4×Dic118C23semidirect
390. #14273692C23semidirect
437. #14273661C23semidirect
438. #14273660C23semidirect
439. #14273660C23semidirect
440. C4⋊(C59⋊C8)C23semidirect
441. Dic59⋊C8C23semidirect
442. Dic59⋊C8C23semidirect
443. #14273652C23semidirect
444. #14273652C23semidirect
445. #14273652C23semidirect
446. #14273652C23semidirect
447. #14273651C23semidirect
448. #14273651C23semidirect
449. #14273651C23semidirect
450. #14273651C23semidirect
451. #14273650C23semidirect
452. #14273650C23semidirect
453. #14273650C23semidirect
454. #14273650C23semidirect
462. C22⋊(C59⋊C8)C23semidirect
465. (C2×D59)⋊C8C23semidirect
466. (C2×D59)⋊C8C23semidirect
467. #14273638C23semidirect
468. #14273637C23semidirect
469. #14273637C23semidirect
472. C22×Q8×C59C23semidirect
475. C2×Q16×C59C23semidirect
476. C2×Q16×C59C23semidirect
477. C2×Q16×C59C23semidirect
485. C2×M16×C59C23semidirect
488. C4⋊Q8×C59C23semidirect
495. C22⋊Q8×C59C23semidirect
499. C4×Q8×C59C23semidirect
504. #107×C59C23semidirect
505. C4⋊C8×C59C23semidirect
506. #103×C59C23semidirect
507. #103×C59C23semidirect
508. #103×C59C23semidirect
509. #103×C59C23semidirect
513. C22⋊C8×C59C23semidirect
514. #97×C59C23semidirect
677. SD16×C59C2×D4semidirect
724. #11745671C2×D4semidirect
730. #11745670C2×D4semidirect
794. #11745660C2×D4semidirect
833. C22×D59#137semidirect
974. C22×C59C2×#137semidirect
996. C2×D59C2×#137semidirect
1040. #3266D59direct (N × H)
1063. D59#3266direct (N × H)
1076. C2×#137C2×D59semidirect
1094. C22×SD16C2×D59semidirect
1108. D4×Q8C2×D59semidirect
1145. #497C2×D59semidirect
1153. #468C2×D59semidirect
1161. #467C2×D59semidirect
1169. #464C2×D59semidirect
1177. #461C2×D59semidirect
1185. #452C2×D59semidirect
1193. #451C2×D59semidirect
1201. #450C2×D59semidirect
1209. #448C2×D59semidirect
1217. #440C2×D59semidirect
1225. #435C2×D59semidirect
1237. C59C2×#3266semidirect
1268. C22×Q8C22×D59semidirect
1309. C2×Q16C22×D59semidirect
1310. C2×Q16C22×D59semidirect
1311. C2×Q16C22×D59semidirect
1354. C2×M16C22×D59semidirect
1377. C4⋊Q8C22×D59semidirect
1425. C22⋊Q8C22×D59semidirect
1453. C4×Q8C22×D59semidirect
1507. #107C22×D59semidirect
1511. C4⋊C8C22×D59semidirect
1524. #103C22×D59semidirect
1525. #103C22×D59semidirect
1526. #103C22×D59semidirect
1527. #103C22×D59semidirect
1543. C22⋊C8C22×D59semidirect
1547. #97C22×D59semidirect
1737. SD16D4×D59semidirect
2028. C22#137×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#137×D592
C22×SD16×D592
D4×Q8×D592
#546×D592
#214356132
#214356122
#214356112
#214356102
#214356092
#214356082
#214356072
#214356062
#214356052
#214356042
#214356032
#214356022
#214356012
#214356002
#214355992
#497×D592
#468×D592
#467×D592
#464×D592
#461×D592
#452×D592
#451×D592
#448×D592
#450×D592
#440×D592
#435×D592
C59×#32662
C2×#326659